feat: added SEM data

main
Sofus Albert Høgsbro Rose 2025-05-04 11:29:49 +02:00
parent 9d93f573bd
commit 848e84fa8f
Signed by: so-rose
GPG Key ID: AD901CB0F3701434
175 changed files with 18994 additions and 0 deletions

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*.pptx filter=lfs diff=lfs merge=lfs -text
*.docx filter=lfs diff=lfs merge=lfs -text
*.xlsx filter=lfs diff=lfs merge=lfs -text
*.dat filter=lfs diff=lfs merge=lfs -text
# Image
*.jpg filter=lfs diff=lfs merge=lfs -text
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*.gif filter=lfs diff=lfs merge=lfs -text
*.psd filter=lfs diff=lfs merge=lfs -text
*.ai filter=lfs diff=lfs merge=lfs -text
*.img filter=lfs diff=lfs merge=lfs -text
*.ico filter=lfs diff=lfs merge=lfs -text
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*.raw filter=lfs diff=lfs merge=lfs -text
*.vvi filter=lfs diff=lfs merge=lfs -text
# Specialized
*.eds filter=lfs diff=lfs merge=lfs -text
*.ASW filter=lfs diff=lfs merge=lfs -text
*.map filter=lfs diff=lfs merge=lfs -text
*.APB filter=lfs diff=lfs merge=lfs -text
*.pts filter=lfs diff=lfs merge=lfs -text
*.dln filter=lfs diff=lfs merge=lfs -text

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#import "@preview/theorion:0.3.2": *
#import "@preview/physica:0.9.4": *
#import "@preview/unify:0.7.1": num, qty, numrange, qtyrange
#import "@preview/alchemist:0.1.5": *
#import "@preview/cetz:0.3.1": *
#import "@preview/fletcher:0.5.7" as fletcher: diagram, node, edge
#import "@preview/whalogen:0.3.0": ce
#import "@local/rosetypst:0.1.0": *
#show: use_rosetypst
#let terms = (
(
key: "term",
short: "term",
),
)
#register-glossary(terms)
= Research Plans
Four metals are delivered to us.
- `M1`:
- `M2`:
- `M3`:
- `M4`:
*Group Number*: We are "Group 1".
*Box Number*: We were given the box for "Team 1".
Our task is to "play detectives", and figure out what these materials are.
= Booking of Labs
There's a booking calendar for the various labs, incl. the SEMs.
= Info on Report
*Report Info*: There's
*Presentation / Last Day of Course*: May 8th
- Another group is chosen to be our "opponents".
- Any questions / things we are puzzled about, we can get feedback.
- Have a powerpoint ready, about 10min.
- Okay not to have everything done; more for the discussion and feedback.
*Due Date*: May 11th, 23:59
*Exams*: May 15th
- The exam is not about the "detective story", it is about the course content in general.
== Report Info
Prepare a group report on your detective's task. Remember frontpage with title, group member's names and student numbers, page numbers, references, and keep it short and clear, 8-10 pages incl. the data you wish to present.
You choose which methods you want to apply for you detective's task.
In the report, you should focus on the techniques that you have applied and explain in relation to your unknown material what kind of analysis that you can use the chosen methods for.
You should present your data in a scientific manner, i.e. consider number of digits, error bars and effects of possible errors, always remember scale bars on images and units on axes.
You should give suggestions on what material you have been investigating, but it is not so crucial if you get it correct, you should focus on explaining the choice of methods and how to interpret the acquired data.
A hint is to use the learning objectives of the course as a guideline for the content of the report (see the description in the course database). You may not be able to address all learning objectives, but most of them.
You should present your observations and analysis in a power point presentation at the last module of the course, 8. May 13-17. Another group will be appointed to give feedback to your presentation, and you may also have aspects that need clarification. We will discuss it together i class. Together with the inspiration from the other groups, this gives you the possibility to include the feedback before submission of your final report on 11. May.
#print-glossary(terms)

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2,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,0,0,0,0,1,1,1,0,1,1,0,3,1,1,2,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,0,1,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,2,2,1,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,0,0,2,0,1,0,1,0,4,1,0,0,2,0,0,1,2,0,0,1,0,0
1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,1,2,0,1,0,1,0,0,0,2,1,0,0,2,2,0,0,0,2,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,0,1,0,1,1,3,0,0,1,0,1,1,0,0,0,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,2,0,0,2
0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,3,1,0,0,1,0,0,2,2,1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,1,0,2,0,0,1,0,0,2,0,1,1,2,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,1,4,1,0,0,0,0,1,3,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,1,0,0,0,0
0,1,1,0,2,2,0,0,1,0,0,0,0,0,2,0,0,2,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,0,2,0,0,2,0,0,1,1,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,0,1,1,0,2,1,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,0,0,2,0,0,2,0,0,0,0,1,2,0,0,0,0,1,0,0,3,0,1,0,0,0,0,0,2,2,2,1,0,1,2,1,0,1,5,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,2,0,1,0,1,0,0,0,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
0,1,0,2,0,0,1,1,0,2,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,1,0,0,1,0,0,1,0,1,2,1,2,1,0,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,2,2,0,1,0,1,0,0,0,3,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,0,0,1,0,1,0,1,0,2,4,1,2,0,0,1,2,1,0,2,2,1,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0
0,2,1,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,2,1,0,1,0,0,1,0,0,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,2,0,2,0,1,0,1,0,1,1,2,0,0,0,0,0,1,0,1,1,1,0,2,0,0,0,3,0,1,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,1,0,1,0,1,0,3,0,0,1,0,1,0,1,2,0,0,1,1,2,1,1,0,0,2,0,2,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,1,0,1,2,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,1
1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,2,0,1,2,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,3,1,0,1,1,2,0,0,1,1,0,1,0,0,1,0,0,1,0,2,1,1,0,2,0,0,0,0,0,0,0,1,0,0,3,1,4,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,3,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,1,0,0,0,0,1,0,0,3,1,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,2,1,0,1,1,1,1,3,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,2,0,1,0,2,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1,0,1,0,0,1,0,1,0,0,0,3,1,0,1,1,0,0,0,1,0,1,0,2,2,2,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,0,2,1,0,0,1,0,2,0,0,3,0,0,1,0,0,0,0
1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,2,0,0,1,2,0,0,0,1,0,0,0,3,0,0,1,1,0,2,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,1,0,0,1,1,1,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,2,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,1,1,3,1,0,2,2,0,0,0,1,0,0,0,3,0,2,0,1,1,0,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,1,0,0
1,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,1,1,1,0,0,1,1,0,0,0,1,1,0,2,0,1,2,0,0,2,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,3,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,1,1,0,4,1,0,0,0,1,0,0,0,2,2,0,1,1,1,0,1,0,0,0,1,1,0,0,2,0,0,0,2,0,3,1,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,1,2,1,0,1,0,0,1,0,0,0,1,2,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,3,2,0,0,1,0,1,0,1,0,3,1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0
0,0,0,0,0,2,0,1,0,0,0,0,1,0,2,1,0,0,0,1,0,1,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,1,0,0,0,1,0,1,1,2,0,0,0,2,0,2,0,0,0,0,0,3,0,0,1,0,0,0,1,1,2,1,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,2,1,2,1,1,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,3,0,2,0,1,1,0,0,1,1,1,0,1,0,1,2,1,0,0,0,2,0,1,0,0,1,0,0,2,1,2,1,0,0,0
0,1,0,1,0,0,2,1,0,0,0,1,1,0,0,0,1,3,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,2,0,1,1,0,2,0,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,1,0,1,2,1,2,0,0,1,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,0,3,1,1,0,1,2,1,0,2,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,1,2,0,2,0,1,0,1,0,2,0,0,0,0,1,0,2,2,0,0,0,0,1,0,1,0,0,0,0,0,0
0,1,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,2,1,0,0,1,1,0,1,0,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,1,0,1,2,1,0,2,2,0,1,2,1,1,1,0,0,1,0,2,0,1,4,2,0,0,2,1,1,3,0,2,0,0,0,0,3,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0
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1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,2,0,0,0,1,0,0,0,2,0,0,2,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,3,1,0,0,1,2,2,1,0,2,2,0,1,1,1,0,2,0,0,0,0,1,2,0,2,1,0,0,0,1,1,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,2,0,0,1
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1,0,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,2,0,1,0,2,0,1,0,0,0,0,1,0,1,0,0,0,1,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,3,1,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,2,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,3,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,2,0,0,0,0,1,0,0,1,1,0,2
0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,2,1,1,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,1,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,2,0,0,0,0,1,1,1,0,0,0,2,1,0,0,1,0,1,2,0,0,1,1,1,0,2,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,3,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0
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0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,1,0,3,0,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,2,1,1,0,1,0,0,0,1,3,0,0,1,0,1,0,0,0,0,1,0,2,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,1,2,1,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0,0,4,1,0,0,1,0,2,1,0,0,0,2,1,0,1,0,1,1,0,1,0,2,1,1,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,4,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0
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0,0,1,1,0,2,0,0,0,0,0,2,2,0,1,1,2,0,1,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,2,1,0,0,0,0,0,1,1,2,0,2,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,1,3,0,2,1,0,1,0,1,2,0,1,0,0,2,1,1,1,1,1,1,0,2,2,2,1,0,1,1,0,1,1,2,0,1,2,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,0,0,0,2,0,1,1,1,0,0,1,0,1,1,2,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0
1,0,1,0,0,0,0,1,1,0,0,0,1,2,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,1,0,1,2,0,0,0,1,1,0,1,0,1,3,0,0,1,1,2,1,1,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,4,1,3,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,2,3,1,1,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,3,1,1,2,1,1,2,1,1,1,0,0,0,0,1,1,1,0,0,1,1,0,3,0,4,0,0,0,1,0,0,1,2,0,0,0,2,1,0
0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,1,2,1,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,3,0,2,0,0,0,0,0,1,1,1,2,0,1,0,0,1,0,1,3,0,2,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,1,1,2,1,0,1,1,0,2,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,1
0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,2,0,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,3,0,0,1,1,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,3,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,2,1,0,1,0,0,1,2,0,1,1,1,0,0,0,2,0,0,0,3,0,0,0,1,0,2,1,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,1,1,2,3,0,3,0,1,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,2,0
1,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,1,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,2,0,1,0,0,0,2,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,1,2,0,0,1,1,0,1,2,0,0,0,0,0,0,1,1,0,3,0,1,1,1,1,1,0,0,3,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,0,0,2,0,0,0,2,0,2,2,0,1,0,0,1,0,0,1,2,1,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,1,1,2,0,0,0,0,0,1,0,0,2,0,1,0,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,1
0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,3,0,3,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,2,4,0,0,0,1,0,0,0,0,1,0,0,2,1,1,1,1,2,2,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,1,1,0,0,1,0,2,0,1,0,0,1,3,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,3,2,1,0,1,0,1,0,0,1,1,1,0,1,2,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,0,1,0,1
0,0,1,1,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,2,0,3,2,0,0,0,0,1,1,2,1,2,0,0,0,1,0,1,2,1,0,0,0,0,1,2,1,2,0,0,0,0,1,1,1,1,0,2,0,1,1,0,1,0,1,1,0,1,0,1,0,3,2,2,0,1,0,0,0,0,0,1,1,1,0,1,1,1,3,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,2,0,1,0,0,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,2,0,0,1,0,1,0,0,0,0,1,0,0
0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,0,3,1,2,1,0,0,0,0,0,0,0,4,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,3,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,1,0,0,1,3,1,1,1,2,1,0,1,0,1,0,0,1,1,0,2,0,0,1,0,2,0,0,1,4,1,0,4,1,1,0,0,0,1,2,1,1,1,1,1,1,1,1,1,2,2,0,1,2,0,1,1,3,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0
1,0,0,1,0,0,2,0,0,0,1,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,3,0,2,0,0,1,0,0,2,1,3,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,5,1,0,1,0,0,0,1,1,2,0,0,1,0,1,0,0,0,1,0,1,1,1,2,1,0,2,1,2,1,2,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,2,0,0,2,1,1,1,0,1,2,0,0,1,0,0,2,2,2,3,1,0,0,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1,0,1,0,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,1,0
0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,3,0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,3,0,2,1,2,0,0,0,1,3,0,1,0,0,0,0,1,1,1,0,1,0,0,1,1,3,3,0,2,0,0,0,1,0,0,1,0,0,3,4,1,2,1,1,0,0,0,2,0,0,0,1,0,0,1,0,1,0,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,2,0,0,1,1,2,0,0,0,2,0,1,1,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0
1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,2,0,2,0,0,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,2,1,0,1,2,0,0,0,0,1,1,0,1,1,1,2,0,2,1,1,1,0,1,1,2,1,3,1,1,0,0,1,1,0,0,0,1,1,1,0,1,3,0,0,2,0,0,1,0,2,0,3,0,1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,2,1,0,2,1,0,1,1,0,2,0,0,1,0,0,1,0,1,0,1,0,1
2,0,1,1,0,1,2,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,2,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0,0,0,1,0,2,1,2,1,0,1,0,1,1,2,2,2,2,1,1,0,2,0,1,0,1,0,1,3,1,0,1,1,1,1,1,1,2,0,0,0,1,3,1,0,1,1,1,2,1,1,0,0,0,1,2,0,0,0,1,1,0,1,1,2,0,0,2,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,2,0,2,0,0,2,0,2,0,1,0,1,1,2,0,0,0
0,1,1,1,0,0,1,0,0,1,0,0,1,1,3,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,3,1,4,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,2,2,1,0,2,1,1,1,1,0,0,0,0,0,1,1,1,1,0,3,1,1,0,1,1,0,1,2,2,0,2,0,1,1,0,0,1,0,2,1,1,0,2,0,3,1,3,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,2,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1
1,0,0,0,0,0,0,1,1,1,1,0,0,2,3,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,2,0,1,0,0,2,1,0,2,1,0,0,0,1,0,0,0,0,1,1,1,0,2,1,1,1,2,0,0,1,0,1,0,0,3,0,1,0,1,2,1,0,0,0,2,0,0,0,0,0,0,1,0,0,2,0,2,2,0,2,0,0,1,0,1,0,1,0,0,4,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0
1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,1,0,2,1,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0,2,1,1,0,0,0,0,0,0,2,1,2,0,1,0,0,0,0,0,2,2,2,1,0,2,0,2,0,1,1,0,0,1,0,0,2,3,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,2,1,1,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0
0,1,0,2,1,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,0,0,0,1,0,3,0,1,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,1,2,0,1,2,1,0,1,2,0,0,0,0,0,2,1,2,1,2,1,2,1,0,0,0,3,1,1,1,2,0,0,2,0,0,1,1,0,4,1,1,2,1,0,0,0,0,3,0,0,0,2,1,1,0,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0,2,1,0,0,2,0
0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,3,1,1,1,0,1,0,2,0,0,0,1,2,0,1,1,0,1,1,0,0,0,0,2,1,1,0,2,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,5,0,0,0,0,1,1,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,1,0,0,0,2,1,0,0,0,1,1,0,1,0,1,1
0,0,0,0,1,1,1,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,1,1,0,3,1,2,4,1,1,1,2,1,1,0,1,1,0,1,2,1,0,2,0,2,0,0,1,0,0,1,3,0,3,0,0,0,0,1,0,2,2,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,2,0,1,0,2,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,1,0,0,0,0,0,2,1,1,1,0,0,0,1,0,1
0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,3,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,3,1,3,1,0,0,1,2,0,0,0,2,0,2,1,0,3,0,1,0,0,1,0,0,0,1,2,1,0,1,1,0,0,0,0,1,0,1,1,0,3,0,1,2,0,1,0,2,1,0,2,1,2,1,1,0,2,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,1
1,0,0,0,2,1,0,0,0,1,0,1,1,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,3,3,0,2,0,1,4,2,0,4,0,1,1,0,0,1,1,0,0,0,0,1,1,0,0,3,1,0,1,1,0,0,1,2,0,2,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,2,0,0,0,0,1,1,0,1,2,1,0,0,0,0,0,0,3,0
0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,2,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,3,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,2,1,0,3,1,0,0,2,1,0,0,2,0,0,1,1,0,0,0,0,0,1,1,0,2,0,1,2,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,1,0,2,1,1,0,2,1,0,1,0,1,1,1,1,0,1,1,1,0,1
0,0,0,0,0,1,0,0,2,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,0,3,0,0,1,2,3,1,0,0,2,1,0,4,0,0,2,2,0,1,2,2,3,0,0,0,1,2,1,2,1,0,2,0,1,0,0,0,1,1,2,1,1,0,1,1,3,1,0,3,2,1,0,0,1,1,2,2,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,1,0,0
0,0,0,0,0,2,1,1,0,0,2,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1,2,0,0,0,0,1,0,1,0,0,0,1,3,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,4,0,0,1,2,0,0,1,1,0,0,0,2,0,0,0,1,0,0,1,2,0,1,0,0,0,3,0,0,0,0,0,3,3,0,1,0,1,0,2,1,1,1,1,0,1,3,1,1,0,1,1,2,2,0,1,2,0,2,0,2,0,1,0,0,1,1,1,2,0,0,0,0,0,1,1,0,1,1,3,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0
1,2,1,0,1,1,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,2,0,1,0,0,0,2,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,3,1,0,1,4,0,1,2,0,0,1,2,3,0,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,1,0,1,0,2,1,0,0,4,0,0,0,0,1,0,1,1,0,2,0,0,0,0,1,0,3,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0
0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0,2,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,2,0,0,1,0,0,0,0,0,0,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,3,1,2,0,1,0,1,0,1,1,1,0,0,1,0,0,1,3,0,0,0,2,3,0,1,0,0,0,0,1,0,1,1,2,0,1,1,1,2,0,2,0,1,0,0,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,2,1,1,0,2,0,0,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0
1,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1,1,0,4,0,1,1,2,1,1,0,2,3,1,2,2,1,1,3,0,0,2,0,2,1,0,0,1,1,0,3,0,1,1,1,1,0,1,0,1,2,1,2,1,1,1,1,0,1,1,2,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
1,0,1,1,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,1,1,0,2,1,0,0,0,1,0,1,2,0,2,1,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,2,0,5,1,2,2,0,0,1,0,2,1,2,2,1,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,1,2,0,1,2,0,2,0,2,0,0,1,0,1,0,2,0,2,0,0,2,2,1,5,1,1,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,3,0
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0,1,0,0,0,0,2,1,0,0,0,0,1,1,0,1,2,0,0,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,2,1,0,2,1,1,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,1,1,2,0,0,0,0,1,2,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,2,0,1,2,1,0,0,2,0,0,0,0,0,1,2,0,0,0,0,1,0,2,1,1,0,0,1,1,0,2,0,2,1,2,0,2,2,2,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,1,0,1,0,1,0,0,0,3,0,0,0,2,1
0,1,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,1,1,0,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,2,0,2,1,0,1,0,1,2,0,0,0,1,0,1,1,1,2,0,2,0,1,0,1,0,0,2,2,1,1,0,2,0,3,0,1,0,0,1,1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,1,0,0
0,1,1,2,1,0,1,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,1,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,0,1,0,1,2,3,0,0,0,1,0,2,2,0,0,2,1,0,1,0,0,0,0,1,1,1,1,2,0,1,0,1,0,0,0,1,0,2,1,1,0,1,2,1,0,2,0,0,4,0,1,2,1,0,0,0,1,0,3,4,0,0,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,1,1,2,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,2,1,0,2,1,0,0,0,0
0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,2,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,2,0,3,2,0,2,0,1,0,1,1,1,0,1,0,4,1,1,0,0,1,0,0,3,0,2,0,0,3,4,0,1,0,0,2,2,1,1,0,1,0,0,2,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1
0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,2,2,0,0,1,0,2,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,2,0,0,2,1,0,0,0,1,1,0,0,0,0,1,0,1,3,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,2,1,2,0,0,0,2,1,1,1,0,0,2,0,1,1,0,2,1,0,2,1,0,0,0,2,3,2,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
0,0,0,1,1,1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,2,0,1,0,0,1,0,2,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,0,0,2,0,1,0,0,2,2,0,2,2,0,0,3,2,2,0,0,3,0,1,2,2,0,0,1,2,0,0,0,0,0,1,1,0,1,0,0,0,2,1,0,1,1,2,0,1,0,0,3,1,2,1,2,5,2,1,1,1,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,3,0,0,1,0,0,0,1,1,1,2,0,0,0
0,0,0,1,0,2,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,1,0,1,1,0,0,1,2,0,2,0,1,2,2,1,2,1,1,1,0,1,2,1,2,1,2,0,0,2,0,0,2,1,3,0,3,1,0,1,0,0,1,3,1,2,0,0,2,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,1,3,0,0,0,0,0,0
1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,2,2,1,0,2,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,1,2,0,0,1,0,0,1,0,2,0,1,1,2,3,0,0,0,0,0,2,0,0,0,2,2,0,1,0,1,2,1,0,2,0,0,1,0,1,0,3,1,2,0,0,0,2,1,0,1,2,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,2,1,0,0,0,1,0,0,0,2,0
0,1,3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,1,2,0,1,0,0,1,3,1,0,0,1,0,1,3,1,1,0,1,3,0,0,2,2,2,0,2,0,0,1,2,2,2,0,0,1,2,1,1,1,1,0,0,3,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,2,2,0,1,0,1,1,0,3,0
0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,2,0,0,0,2,0,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,0,0,0,2,1,0,1,0,0,1,0,1,0,0,0,2,0,1,1,0,0,0,0,1,0,1,0,0,0,3,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,0,1,2,1,1,0,2,1,0,0,0,3,2,1,2,0,3,0,0,0,1,0,0,1,2,2,0,3,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,0,1
0,1,1,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,1,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,4,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,3,2,0,0,0,1,0,0,1,1,2,0,0,0,0,3,1,0,0,2,3,1,3,3,1,0,2,0,1,1,1,0,6,1,0,1,1,1,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0
1,0,2,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,3,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,2,2,3,2,2,2,0,2,2,2,1,2,2,0,0,1,2,1,1,0,0,0,5,1,0,1,0,1,3,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,1,1,2,1,0
3,0,0,1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,0,1,0,0,2,0,0,0,0,0,1,0,1,1,1,2,0,0,0,3,1,1,0,2,0,1,0,1,1,1,1,2,0,1,4,0,0,1,0,0,0,0,1,2,2,0,1,0,2,1,2,0,0,0,0,2,1,0,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,1,0
0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,1,0,0,0,0,0,0,2,0,0,1,0,0,0,1,2,2,0,0,0,2,0,1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,3,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,1,1,0,0,0,1,0,2,1,0,0,1,0,3,0,1,0,0,0,0,1,2,1,1,2,1,1,1,0,1,0,0,1,0,0,1,3,0,2,0,0,2,1,4,1,1,3,1,1,1,1,0,3,1,1,0,2,4,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,2,0,1,0
0,2,2,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,4,0,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,4,0,0,1,0,2,1,0,0,1,1,2,2,2,0,0,0,1,1,0,0,1,1,4,0,1,0,0,1,1,1,2,0,1,1,0,1,3,1,1,0,0,4,2,0,0,1,1,0,0,2,1,0,1,2,0,1,1,0,0,1,0,0,2,1,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,3,0,0,1
0,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,1,3,1,1,3,1,0,1,0,0,1,1,1,0,0,2,1,1,1,2,1,0,1,0,3,1,2,2,1,2,0,0,0,5,0,3,2,0,2,1,1,0,2,0,0,1,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,0,0,2,0,2,1
0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,2,0,1,1,0,1,1,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,2,0,0,0,0,0,0,2,0,0,0,2,0,2,0,1,0,3,1,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0,2,0,0,1,1,3,2,0,1,0,1,1,0,1,0,2,3,1,0,1,0,3,2,2,1,1,0,1,0,1,2,2,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,1,0,1,1,0,1,0,0,2,0,0
0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,2,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,1,1,2,2,0,2,0,1,1,0,1,2,0,1,0,1,2,1,0,2,0,1,0,0,0,0,2,1,1,1,1,1,1,1,0,3,1,0,1,1,1,0,0,4,2,3,0,0,3,1,1,0,1,3,1,1,3,0,2,2,1,0,1,0,1,1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,2,1,1,1,0,1,0,0,1,0,0,0,1
0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,4,0,1,0,0,1,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,2,0,0,0,0,1,0,0,2,0,0,0,0,0,0,2,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,3,1,1,0,1,0,3,1,0,1,0,1,1,1,2,0,3,0,1,0,1,2,2,1,1,1,2,2,2,2,0,0,0,1,0,0,2,2,0,0,0,1,2,1,0,3,0,2,1,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1
0,1,0,0,0,2,0,2,0,2,0,1,0,0,0,2,0,0,0,1,2,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1,0,3,0,1,0,0,0,0,0,2,2,1,0,0,2,0,0,0,1,1,0,0,0,2,0,0,0,1,1,1,0,0,0,2,0,2,0,1,0,1,0,2,1,0,0,1,0,0,1,0,0,0,2,0,0,0,0,0,0,2,2,1,0,0,0,1,1,0,1,2,0,3,0,1,1,2,0,1,0,1,1,2,1,2,2,2,0,1,1,1,0,2,0,0,1,1,3,1,0,0,1,2,0,2,0,1,4,0,1,2,0,2,0,0,2,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1
0,2,0,1,1,1,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,2,0,2,2,0,1,0,0,0,0,1,2,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,2,0,0,1,2,1,0,1,1,0,0,0,2,2,3,1,1,0,2,1,1,2,0,0,0,1,1,1,0,0,2,2,1,1,0,0,1,2,2,0,2,0,0,0,3,2,2,3,2,0,1,2,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,2,0,0,0
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,1,0,0,0,0,1,0,3,1,0,0,0,0,0,0,1,1,0,0,1,2,0,1,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,0,1,0,0,1,0,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,3,1,5,0,0,1,0,2,3,1,1,1,1,0,0,2,1,3,2,0,2,1,2,0,4,2,0,1,0,1,0,0,1,2,1,0,1,2,1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1
1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,2,1,0,1,0,1,0,0,1,0,0,1,0,1,0,0,2,0,0,1,1,0,1,2,0,1,0,3,1,0,1,0,0,0,1,0,1,4,3,0,0,1,1,0,1,1,2,2,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,0,0,0,1,0
1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,2,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,2,3,0,0,2,0,0,0,0,0,0,0,2,0,3,0,0,0,1,0,0,1,0,2,0,2,2,2,2,1,1,0,1,1,3,1,0,1,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0
0,0,2,1,0,0,1,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,1,0,1,2,0,0,0,0,0,0,1,0,1,1,2,2,3,1,0,0,2,1,2,0,0,1,0,0,0,2,2,1,2,0,3,2,0,0,0,1,0,1,1,2,0,1,2,0,1,4,2,1,2,0,1,3,3,1,0,3,0,5,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,2,0
1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,1,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0,1,3,1,0,0,1,0,1,0,2,2,2,1,0,1,1,2,0,1,2,0,0,0,0,0,1,0,1,0,3,5,2,1,2,1,0,1,1,1,1,1,0,0,2,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,1,0,1,1,1,0,0,3,0,2
0,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,4,0,0,0,1,1,0,1,3,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,2,0,0,0,0,1,0,1,0,0,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,4,1,0,2,1,0,1,2,0,0,1,1,0,1,1,0,2,1,2,1,1,2,0,0,2,3,1,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,2,0,0,2,1,0,1,0,1,0
0,2,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,3,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,2,0,1,0,2,1,1,0,3,0,0,0,1,0,0,0,0,4,0,1,1,1,1,0,2,2,0,0,0,0,2,1,3,0,1,1,0,0,1,3,0,1,2,1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,3,0,1,0,0,0,0,0,1,2,0,1,0
0,1,0,1,0,1,1,0,0,0,0,0,1,0,4,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0,2,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,4,1,0,1,0,0,3,0,1,3,4,1,0,0,0,1,0,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,0,0,0,1,0,0,0,1
1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,2,1,0,1,0,0,1,0,1,0,2,2,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,2,0,1,1,1,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,1,0,3,1,1,1,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,0,3,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,3,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0
1,0,2,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,1,2,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,1,1,0,2,1,0,2,2,3,2,1,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,1,0,2,0,2,1,1,1,0,1,0
1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,1,1,2,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,2,0,1,1,1,0,1,0,0,2,1,1,2,0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,2,1,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0,0,4,2,1,0,2,1,1,0,3,1,1,3,1,5,1,1,4,0,0,0,1,0,1,1,1,1,1,3,0,1,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,2,0,0
1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,2,0,1,1,1,1,2,3,3,3,0,3,0,2,2,1,1,1,2,0,1,0,0,3,0,0,2,2,1,2,0,1,2,0,2,2,0,1,3,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1
0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0,2,1,0,1,0,0,0,0,2,2,1,0,0,3,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,1,0,0,1,0,2,0,2,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,5,0,1,2,1,1,2,0,0,2,0,0,1,1,1,2,0,2,3,0,2,1,2,2,1,1,1,1,2,2,0,0,1,1,0,1,1,1,2,1,2,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,1,0,0,0,0,1,1,2,0,0,0,1,0,0,1
0,2,0,0,1,1,0,2,0,1,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,1,2,1,0,0,1,1,2,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,2,0,1,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,2,1,1,1,2,0,1,1,1,1,2,1,0,0,1,2,0,1,1,2,0,1,0,0,0,2,1,1,2,2,2,1,1,0,0,1,1,2,1,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,3,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,3,0,0,0
1,1,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,1,0,1,3,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,2,1,0,2,0,1,0,1,2,1,0,0,0,1,1,1,2,2,2,2,2,0,3,1,2,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,2,1,2,1,0,0,0,0,1,0,1,2,0
0,1,1,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,3,2,1,0,0,0,0,0,2,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,2,3,0,0,0,1,1,0,0,2,0,1,3,0,0,1,0,2,1,0,2,1,2,1,0,0,1,1,1,2,2,2,1,0,1,0,0,0,1,4,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,1,1,2,0,1,0,1,1,2,2,0,0,0,1,0,1,1,0,1,0,0,0
0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,4,0,0,2,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,0,0,1,0,0,1,0,3,1,0,1,0,0,1,0,1,2,0,0,1,0,0,0,0,1,2,0,1,1,2,1,1,1,0,0,1,0,0,0,4,0,0,0,2,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,2,0,1,0,0,0,0,1,1
1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,0,2,0,3,0,2,0,0,1,0,0,0,0,0,1,1,3,0,0,1,2,2,2,1,2,0,3,1,1,1,3,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,2
0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,3,1,0,0,0,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,2,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,0,1,0,1,1,1,2,1,1,2,1,2,1,1,0,0,0,1,2,2,0,0,1,0,1,1,1,3,0,2,2,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,2,0,0,0,1,1,0,1,0,0,0,0,0,1,2,1,0,0,0,1,0,0,2
0,1,0,1,1,0,2,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,2,0,1,0,0,0,0,1,1,0,1,1,0,1,1,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,2,1,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,2,0,0,1,2,1,1,1,0,0,0,0,3,2,0,0,0,1,1,1,0,1,2,1,0,1,2,1,0,0,2,2,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0
0,0,0,0,2,0,1,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,2,1,0,0,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,2,1,1,1,0,0,1,0,0,0,1,1,0,0,0,0,1,1,2,0,2,1,1,1,1,2,0,1,0,0,2,0,0,0,1,1,1,1,1,1,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,3,0,1,0,0,2,2,1,1,0,2,0,1,0,0,1,0,1,0,1,1,3,2,1,0,0,0,0,1,1,1,1,1,1,1,0,1,0,2,1,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,0,1,1,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0
0,0,1,0,0,2,0,1,2,0,1,1,1,1,0,0,1,1,1,1,1,1,0,1,0,0,1,0,0,0,1,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,2,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,1,0,1,0,1,1,0,1,0,0,2,0,0,1,1,0,0,0,1,1,2,3,0,1,0,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,2,0,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,2,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,1,0,1,1,3,0,2,0,0,2,0,1,1,0,0,1,2,2,3,0,1,1,1,2,2,5,2,1,0,3,4,3,2,2,3,0,2,1,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,2,1,1,1,1,0,0,2,0,1,0,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,3,1,1,1,0,0,0,2,0,1,0,0,0
0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,4,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,3,1,2,0,1,1,1,1,0,0,0,0,1,0,1,1,0,2,1,1,1,0,2,0,3,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,1,2,0,2,0,1,0,1,0,0,0,0,0,1,0,1,0,0,2,1,2,1,0,0,0,0,0,0,0
0,0,0,1,1,0,1,0,0,1,0,3,1,1,0,0,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,2,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,2,2,0,0,0,1,2,1,0,1,1,3,0,0,1,2,0,0,2,1,0,0,0,0,0,2,0,3,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0
1,0,0,0,0,0,0,2,0,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,0,0,2,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,1,1,2,1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,1,1,2,1,1,0,0,1,0,0,1,1,1,2,0,1,0,1,1,1,2,1,2,0,1,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,1,0,2,2,0,0,0,0,0,2,1,0,0,2,0,2,1,1,0,0,1,1,2,0,0,1,1,0,0,0,1,0,0,1,0,0
2,0,0,0,0,3,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,1,0,1,0,1,0,1,0,2,0,0,0,1,0,0,0,2,2,0,1,1,2,2,0,0,0,1,0,1,0,3,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,1,0,0,1,0,0,3,0,0,3,1,0,1,0,0,0,1,2,0,0,0,0,0,1,0,0,1,1,1,2,1,0,1,1,0,2,0,0,0
0,1,0,0,0,0,1,1,0,1,1,2,1,0,0,0,1,0,0,3,0,0,2,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,1,0,1,0,2,2,2,0,0,0,3,0,1,0,1,0,0,4,0,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,1,1,3,0,0,0,0,0,2,1,0,0,1,0,0,0,1
1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,3,1,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,0,3,0,1,0,2,0,0,0,1,0,0,0,1,1,0,0,2,0,0,0,0,1,0,1,0,0,2,0,1,0,0,2,1,0,1,0,1,1,0,0,2,2,1,1,0,1,0,1,4,2,2,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,2,1,1,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,2,1,0,4,0,0,1,1,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,2,0,1,1,0,1,1,0,1,0,0,0,1,2,0,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,3,0,1,2,2,1,0,1,1,0,0,0,3,1,1,0,1,2,1,4,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,2,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1
1,0,2,0,0,0,1,0,0,2,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,3,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,2,2,0,0,2,2,0,1,0,0,2,0,3,0,1,1,0,1,0,0,1,1,0,2,0,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,1,2,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,2,0,0,0,0,1,0,0,1,1,2,1,0,0,2,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,0,1,0,1,1,0,1
0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,3,0,0,1,0,1,0,1,1,0,0,0,0,2,1,0,0,0,0,2,0,0,1,1,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0,0,2,1,2,0,0,2,5,0,3,1,1,2,1,1,0,0,4,2,1,0,1,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,2,2,1,1,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0
0,0,0,0,0,0,2,0,2,0,1,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,2,1,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,2,0,1,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,3,0,1,1,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1,0,0,0,2,0,2,3,3,2,0,0,1,4,0,0,0,1,0,2,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,2,0,1,0,1,4,0,2,0,0,0,0,0,0,0
0,0,0,0,2,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,2,0,2,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,6,1,2,2,1,0,0,0,1,0,1,0,0,0,0,2,1,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,2,0,1,0,0,2,1,1,0,0,3,1,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0
0,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,0,2,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,1,0,0,0,4,2,1,1,2,1,2,0,1,2,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,2,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,0,0,1,0,0
1,0,1,0,0,2,0,1,0,1,0,1,0,1,0,0,1,0,0,3,0,0,0,0,1,0,1,0,0,1,0,1,0,1,0,0,0,0,0,2,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,2,1,2,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,0,1,0,0,0,3,2,1,1,1,3,1,2,1,0,0,2,1,0,0,0,2,3,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,2,0
0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,1,0,1,0,3,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,2,0,1,0,0,2,2,1,3,3,0,0,0,0,1,1,1,0,0,2,0,1,1,3,1,1,0,2,1,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,3,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,0,0,0,1
1,1,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,2,1,0,3,0,1,1,1,1,0,0,1,0,0,2,0,1,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,0,1,0,2,0,0,1,2,0,0,1,0,0,1,0,0,3,0,1,0,0,0,0,0,0,3,1,0,0,0,1,2,1,0,1,0,1,1,0,3,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,2,2,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,2,0,1,0,1
1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,2,1,2,0,0,0,0,1,1,1,2,1,1,0,1,1,0,2,1,1,1,0,1,1,2,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0
0,2,0,0,0,0,2,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,0,1,1,0,2,1,1,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,3,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,1,0,0,1,1,1,0,0,1,1,0,1,0,1,0,3,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0
0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,1,0,2,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,2,0,3,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,2,2,0,1,0,1,0,1,1,2,1,1,0,1,0,2,1,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,2,0,0,2,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,2,0,1,0,2,0,0,0,0,0,0,2,0,2,2,0,0,0,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0
0,1,1,0,0,0,0,1,2,0,1,0,0,2,0,1,0,1,2,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,1,0,0,2,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,1,0,1,2,0,1,1,0,0,0,1,1,1,2,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,1,1,0,2,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,2,0,0,2,0,1,0,1,0,0,0,0,1,0
0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,0,0,2,0,1,0,1,1,2,1,1,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,1,1,1,0,0,1,0,0,2,1,0,0,0,2,0,1,2,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0
2,1,2,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,2,1,0,0,2,1,0,0,1,0,1,1,2,1,0,0,1,0,0,0,0,0,2,0,1,1,2,0,0,2,0,0,0,0,1,0,1,0,1,2,2,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,2,2,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,1,2,0,0,2,0,1,0,0,0,0,0,2,0,2,1,0,1,0,0,1,0,1,1,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,2,1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1,0,0,0,0,2,0,1,1,1,0
0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,1,2,1,1,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,2,0,0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,2,1,1,0,1,1,0,2,0,1,0,1,1,1,0,2,3,3,2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,0,1,1,0,0,0,2,0,0,2,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0,0,1,0,0,3,1,1
2,0,0,1,0,0,0,2,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,2,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,0,2,0,2,0,1,0,0,0,2,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,2,1,2,0,0,1,1,1,0,1,2,1,1,0,0,0,1,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,2,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,2,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1
0,0,0,1,1,0,0,0,3,0,0,0,0,1,1,1,0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,1,0,0,2,2,0,0,0,2,1,0,0,1,2,0,0,1,1,1,1,0,0,2,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,1,0,1,1,2,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,1,0,1,0,0,0,0,0,0,1,1,2,0,0,0,0,1,0,0,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,1,1,0,1,0,2,0,1,1,1,0,0,2,1
0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,2,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,2,3,0,2,0,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,0,0,3,0,2,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,1,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0,0
0,0,0,0,0,0,0,0,2,1,1,0,0,2,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,3,1,2,0,1,3,1,2,2,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,1,1,1,0,0,1,3,0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,1,0,0,1,1,0,2,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0
0,0,0,1,0,1,0,0,0,0,3,3,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,2,1,0,0,1,0,1,2,0,0,0,1,0,0,1,0,2,1,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,0,0,0,1,1,2,0,0,0,1,1,0,1,0,2,3,1,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,0,0,0,0,0,2,0,2,0,2,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,1,1,2,1,0,1,0,0,0,0,0,1,1,0,0
0,1,0,1,1,0,0,0,0,2,1,1,0,0,1,1,0,1,0,1,0,0,2,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,1,1,0,0,1,0,0,0,1,0,0,2,0,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,2,2,0,2,0,0,0,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,3,0,2,1,0,0,0,0,2,0,0,0,0,0,0,2,1,1,0,1,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,1,3,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,3,1,1,0,0,1,0,0,1,0,2,1,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0
0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,3,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,4,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,1,0,0,0,0,1,1,1,2,0,0,0,0,1,1,0,0,1,0,0,0,0,2,2,1,1,1,0,2,1,0,0,1,0,2,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,1,2,0,1,1,0,1,1,1,0,0,1,0
0,1,1,0,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,3,2,0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,2,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,1,1,2,1,1,2,0,0,1,0,0,3,1,1,2,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1,0,2,1,0,2,3,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0
0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,2,1,1,0,0,0,0,1,0,1,2,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,0,0,2,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,2,0,0,0,0,1,0,0,0,3,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,2,0,0
0,0,2,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,2,0,0,1,2,0,0,1,3,2,2,3,2,1,0,0,0,0,0,1,1,0,0,1,0,0,2,0,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,1,3,1,1,0,0,0,0,0,0,0,0,0,2,0,2,0,0,0,2,1,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1
1,1,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,2,1,0,0,0,0,1,2,1,0,1,0,0,1,1,0,0,2,0,0,0,0,1,2,0,2,0,1,1,0,1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,3,0,0,1,0,0,0,0,0,3,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,2,2,0,1,0,2,0,3,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,2,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,0,0,0,0,1,1,1,0,0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,1,2,0
1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,2,1,0,0,1,0,0,0,0,0,0,1,1,0,2,1,1,0,1,2,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,2,1,0,0,1,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,2,0,1,0,1,0,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,2,2,1,0,0,1
0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,2,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,2,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,3,0,0,1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,2,0,2,1,0,2,1,1,1,0,1,0,1,0,0,2,1,1,2,0,3,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,1,2,2,1,1,0,1,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,2,0,0,0,0,0,0,0,0,0,1,0,0
0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,1,1,1,1,0,0,4,1,0,0,0,0,1,1,0,1,0,0,1,2,4,0,0,0,0,0,0,0,1,0,0,3,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,2,0,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,3,0,0,1,1,1,1,1,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,1,5,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0,0,0,0,0,2,0,3,0,0,1,1,0,0,1,0,0,0,0,2,0,0,1,1,1,1,0,2,0,1,2,0,1,1,1,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,0,0,0,2,1,0,0,1,0,0,0,2,2,0,2,1,0,0,1,1,0,0
2,0,1,0,2,0,0,0,1,1,0,0,1,0,0,1,1,0,1,0,1,1,2,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,3,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,1,0,1,0,0,0,0,3,1,1,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,3,0,1,0,0,3,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0
0,0,0,0,1,2,0,1,0,0,1,1,0,0,1,0,0,0,1,1,2,1,0,1,1,0,0,0,0,0,0,2,0,0,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,4,0,0,5,0,0,0,2,0,0,1,0,0,1,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,2,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,0,1,2,2,2,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,2,0,0,0,2,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0
1,0,0,1,1,0,0,2,0,0,0,0,2,1,0,1,0,0,2,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,2,2,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,2,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1
1,0,1,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,1,0,0,2,1,1,2,0,0,3,0,2,0,1,0,0,0,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,2,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0
0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,2,0,0,1,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,0,2,0,2,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,3,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,2,2,0,0,0,0,0,0,1,0,0,0,2,1,0,0,2,0,0,0,0,0,1,1,0,1,1,0,0,1,1,2,0,1,0,0,2,0,0,0,0,1,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,2,0,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1
0,1,0,0,1,0,1,0,0,0,0,1,0,2,0,1,1,1,0,2,0,0,2,0,2,4,1,0,0,0,0,1,2,1,1,2,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,0,0,0,2,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,2,2,1,0,0,0,1,0,0,1,1,0,0,1,2,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,0
0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,3,1,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,0,0,2,0,0,0,1,1,1,0,1,0,0,0,0,0,2,1,1,0,0,2,0,0,0,0,0,1,0,2,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,2,0,2,0,1,0,1,0,3,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,0,0
0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,2,1,0,1,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,2,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,3,0,0,1,0,0,0,1,0,0,0,1,0,0,1,2,1,0,0,3,0,0,2,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,1,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,1,2,1,0,0
0,1,0,0,1,1,1,0,3,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,2,0,0,0,1,0,0,2,1,0,2,0,0,1,1,1,0,0,0,2,2,0,1,0,1,1,0,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,0,0,1,0,0,0,0,1,2,2,0,0,0,0,1,1,0,0,1,0,1,0,1,0,2,0,1,0,1,0,0,1,1,0,0,1,0,0,0,1,1,1,0,2,0,1,1,1
1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,0,0,0,0,0,2,1,0,0,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,2,1,1,0,1,1,1,0,0,0,1,0,1,0,1,2,0,2,1,0,0,0,0,1,0,0,0,1,1,0,1,0,2,0,1,2,1,0,0,0,1,0,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,2,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,2,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0
1,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,1,0,0,0,2,1,0,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,3,1,0,0,0,1,1,1,0,1,0,0,0,0,0,3,0,0,1,1,0,0,1,3,1,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,1,1,0,0,0,3,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,0,3,0,0,0,0,1,0,0,1,0,0,0,0
1,0,0,0,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,2,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,0,2,0,1,0,1,1,2,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,2,1,0,1,0,0,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,2,0,4,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,2,1,0,1,0,2,0,0,0,0,0,1,1,2,3,1,0,0,0,1,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0
1,2,0,0,0,1,0,0,0,1,2,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,1,1,1,0,2,1,1,0,1,1,0,0,1,2,0,0,0,0,0,1,0,0,0,0,0,1,1,1,2,0,0,0,0,1,0,1,0,1,2,2,0,1,2,0,1,0,0,0,0,1,0,2,1,2,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,2,0,1,0,0,0,0,0,0,0,1
0,0,0,0,1,0,1,0,0,1,3,0,0,1,0,0,1,2,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,1,1,1,1,0,0,1,0,2,1,0,0,0,1,1,0,0,0,3,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,3,0,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,3,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1,0,0,0,0,1,0,2,0,0,0,0,2,1,2,0,0,2,1,2,1,0,1,1,2,0,0,0,0,1,0,1,0,0,0,0,0,2,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0
0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,2,0,0,0,1,1,2,0,0,1,0,0,0,1,0,1,2,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,0,1,0,0,2,1,0,2,0,1,0,0,0,2,1,1,0
1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,3,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,2,0,2,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,3,0,0,0,1,1,0,0,0,1,0,2,0,0,1,0,2,0,0,2,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,3,1,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,3,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0
1,0,0,0,0,2,1,0,0,0,0,2,0,1,0,0,0,0,0,1,0,1,1,2,1,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,2,0,0,0,1,2,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,2,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,2,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,0,1,0,0,1,1,0,1,3,0,0,0,0,2,0,1,0,1,0,1,1,0,0,0,2,1,1,0,0,1,0,1,0,1,0,0,0,2,0,1,0,1,0,0,0,0,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2
0,1,3,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,3,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,5,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,1,0,1,1,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,2,2,0,0,1,0,0,2,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,3,0,1,0
0,0,1,0,2,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,1,2,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,2,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,0,1,0,0,0,0,0,1,2,0,0,1,0,2,0,1,0,0,1,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,2,0,1,0,1,0,0,0,0,2,0,1,2,1,0,0,1,3,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,2,0,1,0,0,1,0,0,0,0,0,2,0,1,0,2,0,0,0,1,0,0,0,1,0,0,0
0,0,2,0,0,0,0,1,0,2,1,2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,2,1,0,0,3,0,1,0,0,0,1,0,0,0,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,3,0,1,1,2,1,0,2,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,3,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0
0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,3,1,0,0,0,0,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,2,1,0,1,1,0,0,0,3,1,1,3,0,2,0,0,1,0,0,0,1,0,0,0,0,1,3,0,0,1,0,1,1,0,2,0,1,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,2,1,0,1,0,1,0,0,0,0,0,1,0,1,0,0,1,2,1,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0,1,2,1,1,1,0,1,1,0,3,1,0,0,1,2,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,2,2,0,1,1,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0
0,0,0,1,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,2,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,1,0,0,1,0,2,0,1,1,0,0,0,0,0,3,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,0,0,0,0,1,2,0,3,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1,1,1,0,0,0,2,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,1,0,1,1,0,2,0,0,2,0,0,0,0
0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,2,0,0,2,3,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,0,2,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,1,2,0,0,1,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0
0,0,2,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,1,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,2,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,1,2,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,0,0,1,2,2,1,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,2,1,1,0,2,1,1,2,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,0,0
0,2,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,2,0,2,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,3,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,2,0,0,0,2,1,0,1,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,1,1,1,3,1,0,0,0,1,0,0,3,0,0,0,0,0,0,1,1,0,2,1,1,0,1,0,0,1,2,0,2,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,2,1,0,0,1,0,0,1,2,2,1,0,0,2,2,0,0,0,0
0,0,0,0,1,0,3,0,0,1,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,3,0,0,0,0,1,0,1,3,1,0,0,1,0,0,3,0,1,1,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1,2,0,1,0,0,0,0,0,1,0,0,0,2,1,0,1,1,0,0,1,0,2,0,3,1,0,2,1,2,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,2,0,2,1,1,1,0,0,0,2,0,1,0
2,2,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,2,1,0,0,2,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,1,1,1,1,1,1,1,0,1,0,0,3,0,0,2,1,0,0,0,0,2,2,0,1,2,1,0,1,0,0,2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1
0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,2,0,1,1,1,1,0,0,0,1,0,0,3,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,0,2,0,0,0,2,0,2,0,1,2,1,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,2,1,0,0,0,2,1,0,1,2,0,0,0,1,0,0,2,0,2,0,0,0,0,1,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,2,1,1,2,0,0,0,0,0,0,0,0,2,2,3,3,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,0,2,1,2,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1
0,0,0,0,0,1,0,0,1,0,1,1,0,1,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,2,1,0,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,2,0,2,0,0,1,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,2,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,1,3,1,0,0,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,2,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0
0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,2,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,2,0,0,0,0,0,1,1,1,1,0,1,0,2,2,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,1,0,0,0,0,3,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,1,3,0,0,0,0,2,0,0,0,0,0,0,2,0,0,1,0,2,1,1,0,0,0,0,0,2,1
1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,2,0,1,0,0,2,1,0,2,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,1,2,0,1,0,1,1,0,0,0,0,0,2,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,1,0,0,1,1,1,1,0,0,1,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,1,1,0,0,0,1,0,1,1,1,1,0,0,2,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,3,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0,1,2,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,2,0,2,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,1,0,2,0,1,0,1,0,2,1,0,0,0,0,0,0,2,1,0,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,2,1,0
1,1,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,0,0,2,0,2,0,2,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,2,0,0,0,1,0,2,3,2,0,0,1,0,0,1,1,0,1,0,1,0,0,2,2,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,1,2,1,0,0,1,1,0,0,1,0,0,0,2,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,0,1,0,2,2,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,3,1,1,2,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,2,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,1,2,0,1,0,3,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0
1,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,2,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,0,0,0,0,1,0,2,0,0,2,0,1,2,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,2,1,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,0,1,3,0,2,2,0,2,0,1,1,0,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,1,2,0,0,0,0,0,0,0,0,1,0,1,0,0,1,3,0,0,0,0,0,0,3,1,0,0,0,1,0,1,2,1,1,0,1,0,0,0,0,0,0,0,3,0,0,0,1,0,0,0,1
1,0,0,1,0,0,0,1,3,0,0,0,0,1,0,1,1,1,1,2,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,1,0,2,1,2,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,2,2,2,1,1,0,0,1,2,1,0,1,1,0,0,1,0,0,0,1,1,0,1,0,0,2,1,1,1,1,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,2,4,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0
0,0,3,0,0,0,3,0,0,0,0,0,1,1,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,1,1,0,0,1,1,1,2,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,1,2,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,1,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,0,1,1,1,0,2,1,0,0,0,0
0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,2,0,1,1,1,3,2,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,1,0,0,0,0,2,0,2,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,2,1,0,1,0,1,1,3,0,0,0,1,2,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,1,3,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1,1,2,1,1,0,1,1,0,0,2,0,0,0,0,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,0,0,0,1,0,1,0,2,0,0,1,1,1,2,0,1,0,1,0,0,0,0,1,1,0,2,1,1,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1
0,0,0,0,0,1,0,1,2,0,2,1,0,0,1,0,0,0,1,1,0,1,2,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,3,2,0,0,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,2,0,1,1,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,3,0,0,1,0,0,0,0,0,2,1,2,0,0,0,0,0,0,0,1,1,2,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,0,0,0,1,1,2,0,1,1,2,0,3,0,0,0,1,1,1,0,0
0,0,3,1,0,0,2,0,1,0,1,0,0,1,1,1,0,2,0,2,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,3,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,2,0,1,0,0,0,0,3,1,0,1,0,0,0,2,0,0,0,0,2,0,1,0,0,0,0,2,1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,5,1,1,2,0,1,0,1,0,1,0,1,0,0,2,0,0,2,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,2
0,1,0,1,0,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,2,0,0,2,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,1,0,0,0,2,0,2,0,0,0,1,0,0,1,0,1,0,0,0,2,1,0,0,2,0,1,1,0,0,0,1,0,0,1,1,2,1,0,0,0,3,2,1,0,2,0,1,0,1,0,1,0,0,1,0,2,0,1,0,0,0,0,0,2,0,1,0,0,2,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,0,0,2,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,1,1,2,0,1,0,1,0
0,0,0,0,1,2,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,0,1,2,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,2,1,2,0,1,0,0,0,3,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,3,0,1,1,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,0,2,1,2,1,0,0,0,2,0,0,0,0,1,0,0,1,0,0,0,0,1,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,2,0,2,0,0,0,1,0,1,0,1,1,0,0,0,0,1,2,1,1,1,0,0,0,0,1,1,2,1,1
0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,2,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,2,1,0,0,3,0,0,1,0,0,1,1,1,1,2,1,0,0,0,2,1,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,1,1,0,0,0,0,1,1,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,3,0,0,1,1,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,2,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,3,0,1,0,0,0
0,0,2,0,0,1,1,0,0,1,0,0,1,0,0,1,0,0,1,2,0,1,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,2,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,2,0,1,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,0,3,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,2,0,0,2,0,0,0,0,1,1,0,0,0,1,0,0,2,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0
2,1,0,0,0,1,1,0,1,0,0,0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,3,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,3,2,1,1,0,1,0,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,3,0,0,0,2,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,2,0,0,0,0,0,1,2,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1,1
0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,0,0,0,1,0,1,0,1,0,2,1,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,3,1,0,1,0,1,2,0,0,0,0,0,0,2,3,0,0,2,1,0,0,0,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,3,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,2,0,0,1,2,2,0,0,0,1,1,1,0,0,0,4,0,0,0,2,0,2,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0
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10,12,8,8,12,12,9,11,11,9,8,11,12,14,5,15,9,6,12,4,9,10,13,10,10,10,17,15,11,9,13,9,9,7,7,7,10,13,10,15,15,8,15,15,10,12,10,7,11,13,11,8,6,11,13,13,13,8,12,8,4,12,15,8,15,12,14,11,10,13,12,11,10,8,15,9,18,16,10,17,12,12,14,18,12,14,7,9,14,15,13,11,11,8,4,8,11,10,15,10,10,14,10,10,12,11,22,13,15,13,6,11,10,13,9,6,14,11,12,11,16,4,14,10,13,9,17,7,12,5,6,12,6,19,15,7,9,13,10,12,15,12,19,6,10,13,8,16,16,12,10,14,10,10,10,12,15,15,13,12,18,15,8,12,11,15,15,14,13,6,7,15,10,9,12,6,11,9,8,6,4,1,6,1,1,6,4,7,10,4,6,6,5,11,13,9,7,6,11,9,16,13,12,11,6,8,9,9,10,11,12,7,19,15,17,14,16,14,14,9,9,12,7,13,16,16,17,13,17,16,21,15,10,6,13,12,13,13,12,10,7,15,14,12,14,11,13,12,9,10,11,10,16,14,16,7
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14,11,5,15,7,16,10,14,11,13,9,14,8,8,12,11,17,10,8,6,8,9,16,9,10,11,13,16,10,8,11,14,9,10,15,8,8,9,9,10,13,14,9,18,12,10,9,11,12,14,17,10,10,12,8,16,11,13,11,16,9,12,9,12,11,10,14,8,10,9,11,11,11,11,10,8,10,10,14,10,13,13,7,13,9,10,17,13,13,6,5,10,5,8,7,10,12,7,12,13,10,6,16,12,13,10,10,11,16,5,10,10,6,15,10,9,14,9,10,13,7,11,11,13,9,12,12,8,7,7,10,6,14,11,8,17,6,16,9,7,13,8,15,11,15,6,4,10,9,13,8,8,15,8,20,13,9,16,9,16,18,5,14,17,18,14,8,5,10,13,6,9,10,15,14,10,3,5,7,3,1,2,1,1,4,3,1,2,9,3,7,5,9,8,9,12,7,9,6,12,9,9,5,10,14,11,14,9,14,5,11,11,16,12,15,16,8,14,11,9,13,9,10,11,11,12,10,11,10,16,17,12,9,13,10,13,13,15,13,14,12,22,11,12,5,10,15,12,13,7,14,19,14,13,14,15
15,14,14,13,10,18,12,5,12,13,15,12,12,8,9,10,6,15,10,13,12,10,12,14,9,16,5,11,20,14,15,14,15,9,14,14,11,9,12,11,7,14,4,11,16,12,13,15,14,11,11,11,11,9,9,10,7,21,5,12,11,12,12,13,7,13,10,11,9,8,12,5,17,14,8,11,12,15,13,7,11,4,9,12,11,9,7,12,11,18,14,11,10,7,8,18,8,10,11,6,13,14,16,11,8,9,14,11,7,6,10,6,15,8,11,12,8,7,15,12,6,8,14,11,4,15,16,11,14,13,13,11,7,13,12,10,11,10,9,7,7,13,7,11,13,10,14,13,14,6,7,19,5,13,7,5,13,17,16,17,17,8,6,10,18,13,8,20,13,17,13,7,10,12,7,7,10,5,4,3,2,0,0,2,3,3,7,4,4,7,4,4,3,5,10,11,8,18,12,7,9,6,13,14,10,15,8,12,12,11,15,8,10,6,14,11,12,9,16,8,13,8,11,10,11,9,11,4,10,18,10,12,14,18,11,15,13,12,11,16,14,10,15,12,11,6,14,10,9,17,13,15,15,16,7,13
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16,13,12,12,9,10,10,13,7,10,9,15,12,11,8,10,9,10,12,7,14,22,8,11,18,9,7,7,4,6,9,14,16,6,13,11,18,7,12,16,17,10,14,10,8,15,11,9,11,3,7,14,16,13,13,10,12,10,10,10,12,9,8,11,13,13,11,13,12,7,9,14,8,11,17,10,9,13,10,12,14,8,14,9,8,7,11,11,14,13,5,13,9,5,9,5,4,8,10,16,8,6,11,11,11,11,7,9,15,9,7,6,11,9,12,11,2,17,11,13,12,18,12,15,12,14,14,15,7,14,8,12,8,7,7,13,16,9,13,11,16,11,11,11,11,11,15,13,9,8,15,7,11,12,11,10,7,11,10,16,8,14,8,14,10,13,12,18,7,13,11,7,10,10,7,13,5,5,2,3,0,2,0,2,2,1,6,4,3,6,2,4,4,4,7,8,3,9,13,8,6,7,13,11,7,9,20,9,19,7,11,9,11,13,10,12,9,13,7,5,8,17,10,9,9,12,12,6,8,8,7,11,15,19,13,16,10,7,13,18,7,14,13,11,7,5,10,10,6,12,13,12,17,14,8,16
9,8,11,14,11,9,13,11,18,10,13,13,13,16,9,12,18,12,8,14,20,8,12,6,10,13,12,21,10,13,10,8,11,2,10,7,6,10,7,8,9,5,19,9,16,8,17,14,17,9,3,11,24,22,11,12,16,10,15,10,9,11,10,10,9,8,12,10,7,10,11,16,7,8,10,12,11,10,10,6,12,6,7,9,10,18,14,17,12,9,14,12,10,5,10,9,15,12,10,5,16,14,14,14,10,17,11,10,15,13,7,13,10,11,12,6,10,10,14,10,15,16,10,10,13,10,10,12,11,8,13,13,13,5,13,11,15,10,14,9,12,13,6,15,12,16,13,16,12,13,7,15,14,12,11,15,9,10,5,13,12,10,14,11,7,10,9,7,14,13,16,11,5,6,6,1,5,6,1,2,4,2,1,1,1,3,0,5,7,2,2,1,2,4,8,7,7,8,3,11,11,7,18,18,8,8,9,11,12,6,10,12,9,11,9,22,12,9,11,11,12,9,14,12,10,10,6,11,6,3,8,16,15,8,13,20,11,12,9,11,9,8,8,7,18,10,12,14,18,7,12,12,14,10,20,19
9,21,13,10,12,17,11,6,13,8,9,16,11,12,9,3,22,10,8,16,16,7,12,5,8,9,14,14,10,14,17,14,9,9,17,9,13,12,8,10,14,16,6,11,10,9,11,10,14,7,9,12,13,12,7,15,16,9,17,9,11,14,12,2,6,12,10,11,7,11,14,11,12,16,15,8,17,14,7,8,10,10,9,11,17,17,5,11,11,14,9,18,16,11,14,9,10,11,15,12,15,6,12,8,9,12,12,5,14,9,8,10,8,6,6,10,15,10,8,6,14,8,7,11,9,15,10,5,8,4,13,14,18,14,9,12,10,9,13,22,10,12,10,11,15,5,10,9,5,16,12,9,12,12,11,10,14,15,20,10,7,11,9,12,15,9,11,12,16,15,12,13,13,7,10,6,5,6,4,1,1,0,3,2,2,3,0,3,5,3,8,6,7,5,1,8,8,4,13,11,5,11,6,10,9,11,8,8,8,10,11,6,10,8,14,13,13,2,12,11,7,15,8,16,8,12,7,11,12,9,9,6,8,13,17,11,13,14,12,10,12,12,13,14,10,19,7,13,8,13,11,16,12,5,14,13
14,10,8,15,10,14,8,14,14,10,10,13,9,6,10,5,4,9,12,11,11,9,21,12,6,18,12,12,9,7,10,11,8,13,15,10,9,9,12,9,9,12,13,16,10,9,4,9,18,16,10,12,6,8,7,12,10,11,9,13,8,11,16,10,8,17,6,14,14,15,7,12,7,15,9,9,10,5,13,11,11,14,13,20,12,8,9,7,7,12,11,7,13,7,4,8,6,17,7,10,14,12,16,6,19,8,8,11,11,12,11,10,13,13,10,13,12,13,10,13,14,9,10,17,11,16,12,10,7,14,10,10,14,11,10,6,10,17,9,14,11,13,10,8,16,16,13,6,9,10,13,17,9,15,7,14,9,8,14,16,7,11,10,15,11,13,10,6,16,13,8,6,9,8,11,3,4,2,1,1,0,3,3,1,3,0,3,2,1,6,4,4,4,8,2,5,10,7,6,7,10,7,10,10,12,9,12,17,9,8,10,11,15,14,12,11,12,16,11,16,12,11,14,8,11,12,7,16,13,4,16,16,18,13,11,12,11,9,18,13,12,9,6,6,9,10,17,12,16,14,16,10,10,19,4,8
13,16,7,16,15,9,21,9,15,9,10,6,13,10,10,12,13,13,10,11,12,9,10,12,11,11,7,13,12,13,8,11,14,14,12,8,6,9,13,11,14,16,8,11,11,12,5,12,17,10,13,8,11,7,7,6,16,15,15,11,12,9,12,9,9,8,15,7,12,9,10,9,13,14,8,8,4,10,12,14,14,7,11,9,12,12,13,14,15,11,13,14,13,12,7,16,4,11,18,7,8,11,6,10,9,14,13,9,15,14,8,14,9,15,12,12,7,15,12,13,10,9,11,5,2,13,14,14,8,14,14,15,11,20,13,15,16,13,11,5,6,13,13,7,15,7,14,10,18,10,12,12,12,14,15,16,14,5,16,11,8,12,11,11,13,13,10,7,12,11,11,12,8,11,6,2,2,2,1,2,0,0,1,0,3,2,2,6,4,8,4,4,1,6,13,4,4,8,6,7,6,7,5,13,4,7,11,8,8,11,9,11,17,8,10,11,11,9,19,10,12,16,17,16,16,16,10,12,9,8,8,11,15,15,17,13,10,14,9,17,6,13,13,9,9,15,12,9,13,12,7,13,11,12,8,8
11,9,11,11,10,9,4,10,16,13,10,5,14,11,16,11,8,15,11,8,13,12,14,8,14,8,12,18,10,11,7,8,12,14,11,9,16,8,17,12,13,4,16,10,14,10,12,21,13,19,7,9,12,9,12,11,5,15,7,9,18,10,21,14,8,11,5,14,6,6,7,13,12,15,12,8,12,17,16,11,16,9,14,4,5,14,11,19,9,16,7,10,14,8,14,6,17,11,7,8,12,6,9,13,15,12,11,7,13,17,14,16,10,13,16,16,11,13,12,12,14,18,8,14,12,14,10,9,13,8,11,15,7,9,17,15,9,13,10,11,6,11,9,8,9,11,11,12,15,10,13,14,11,7,14,15,8,12,12,13,13,21,13,6,18,12,14,13,12,7,11,10,7,4,4,4,2,0,4,0,1,0,3,1,0,0,0,2,1,5,3,6,7,4,8,8,13,5,10,12,6,8,8,10,7,4,11,7,10,9,11,13,6,7,10,9,8,6,16,15,11,11,13,15,11,12,8,21,14,14,7,10,9,13,9,11,11,13,9,8,9,13,8,8,14,6,12,11,13,15,11,8,19,17,10,7
8,7,7,9,16,10,13,12,12,11,11,9,5,15,11,13,19,11,11,14,12,11,9,12,13,11,12,10,8,12,14,12,14,12,4,8,13,8,13,12,16,16,2,10,7,8,14,15,7,11,13,12,13,12,13,10,13,11,16,18,10,15,5,14,12,8,15,8,11,18,13,10,13,11,10,15,11,7,12,13,15,11,11,14,8,11,7,10,6,11,10,14,10,10,17,7,8,11,16,10,13,12,14,8,20,10,7,12,15,10,7,5,7,9,13,13,9,12,7,6,10,17,12,9,11,10,16,8,10,8,7,12,4,11,13,8,11,14,12,8,12,8,12,11,10,6,12,10,11,8,11,15,12,13,18,9,14,13,15,13,8,10,10,16,15,6,4,13,7,8,9,5,9,6,3,3,1,0,2,2,0,2,3,4,0,1,1,3,2,0,1,7,3,6,2,7,9,5,5,5,10,10,3,11,7,14,9,8,12,5,19,9,13,11,17,11,9,12,10,15,9,14,13,14,17,13,10,7,14,11,8,11,7,16,12,8,10,14,7,10,18,10,17,9,12,8,15,18,12,6,11,13,12,5,9,8
14,10,14,9,9,6,10,14,10,7,8,15,12,9,11,9,16,18,8,9,8,12,10,10,5,6,12,12,8,13,11,11,13,11,13,10,15,12,13,10,6,10,11,13,10,17,14,6,9,12,11,16,11,14,6,11,15,9,13,12,7,14,8,10,14,13,19,13,7,10,10,10,8,9,13,8,10,11,12,4,10,17,15,10,10,15,11,9,10,9,14,15,15,16,11,7,9,13,13,14,15,13,20,16,12,10,10,8,16,10,12,8,9,8,13,8,13,8,12,18,8,11,13,8,9,11,14,13,10,8,7,10,12,14,4,13,16,15,12,12,13,14,18,14,11,18,11,12,10,6,14,10,12,10,19,14,20,15,10,15,14,7,13,10,13,11,12,13,17,10,10,8,9,5,3,1,0,0,0,0,2,1,3,3,2,2,2,3,4,3,3,5,3,5,3,6,9,3,9,7,11,13,12,8,8,10,12,8,11,13,14,5,9,11,10,6,15,14,5,14,11,7,15,5,9,11,12,7,15,15,11,10,11,9,9,16,17,13,11,15,13,22,7,9,17,9,11,6,5,11,13,10,9,8,19,10
10,13,6,15,10,7,7,12,8,9,9,7,10,8,8,11,8,15,6,9,10,12,9,7,8,11,13,17,11,9,9,5,14,12,13,13,12,13,8,14,11,15,12,14,8,11,6,11,10,11,12,5,10,9,11,14,8,18,15,4,13,6,6,11,8,10,21,12,11,10,13,16,13,11,11,11,7,8,10,12,20,6,10,12,14,8,6,11,13,11,9,17,9,12,8,8,10,8,13,11,10,14,8,16,10,14,12,14,9,12,14,10,15,8,12,16,10,12,14,15,11,10,15,13,9,8,7,15,11,6,14,16,8,10,13,10,9,14,14,13,11,12,7,10,4,12,21,13,11,11,7,11,11,13,21,18,16,12,13,10,18,12,11,9,12,11,14,16,11,9,12,10,5,2,3,3,2,0,0,1,1,2,1,1,2,1,3,1,1,0,3,2,4,4,6,7,6,7,8,11,9,6,9,8,9,8,3,15,5,15,8,12,9,15,5,6,10,8,9,10,7,7,10,13,18,11,13,12,9,13,8,14,16,13,15,9,4,8,16,4,16,9,10,12,13,11,15,12,16,12,18,8,8,11,8,10
9,12,14,15,10,9,10,12,17,7,16,13,13,13,10,13,12,9,8,13,12,12,13,11,8,15,12,13,13,17,15,14,12,9,8,8,18,10,10,10,13,7,5,12,12,10,14,7,8,12,10,5,11,13,6,8,8,13,7,11,9,15,11,13,10,7,10,16,8,12,16,12,15,11,6,11,9,11,8,10,15,11,12,11,9,12,7,16,15,10,13,8,9,15,10,17,11,12,11,13,14,13,15,12,13,18,12,6,11,11,13,7,9,11,10,12,14,9,11,9,10,15,7,8,9,14,10,14,14,7,16,12,11,9,13,9,9,14,7,11,12,7,16,18,14,6,11,10,15,14,12,13,11,10,9,9,11,7,7,18,13,16,13,17,10,7,16,9,20,8,12,10,6,7,3,2,1,1,1,0,1,4,0,1,0,1,1,1,0,3,1,3,4,5,6,4,1,5,7,11,12,10,6,16,10,9,7,12,7,6,10,8,8,11,12,14,13,8,6,8,15,11,10,15,10,14,8,11,13,15,17,12,10,13,10,6,9,13,10,10,12,6,14,18,9,15,13,11,6,14,9,18,12,19,7,8
6,13,13,14,6,9,11,10,13,12,11,6,17,9,9,14,15,5,16,8,13,11,12,11,6,12,9,7,17,10,8,6,8,9,18,12,11,9,7,16,8,5,7,14,12,12,10,14,13,7,17,14,11,10,2,7,15,8,9,9,10,9,6,11,10,9,12,10,6,13,14,8,22,8,12,5,18,1,8,5,7,12,8,15,10,7,10,8,3,11,12,9,13,9,9,10,15,10,14,10,15,10,18,17,10,19,10,9,9,19,16,10,9,12,16,12,11,11,8,8,10,11,12,15,11,15,17,8,10,7,16,17,13,4,9,14,9,13,10,11,8,9,10,17,17,17,11,12,14,16,11,17,7,14,5,7,20,9,6,15,11,16,18,18,10,14,9,12,13,4,5,1,5,0,1,0,0,1,0,0,2,2,1,0,2,2,0,1,2,4,3,3,2,0,4,4,3,3,3,4,2,3,7,7,8,7,15,9,7,6,9,8,13,11,19,9,16,17,7,8,14,9,11,10,8,20,8,9,10,10,7,8,12,8,8,12,11,11,7,10,16,11,12,12,11,11,10,10,12,9,9,12,8,6,11,13
7,14,12,13,10,11,5,18,17,8,7,11,11,11,7,17,15,8,13,11,9,11,13,7,12,11,15,5,8,13,13,13,9,12,10,13,10,14,17,14,9,11,13,10,11,13,9,12,13,9,11,14,8,13,14,8,8,9,9,10,11,7,7,10,14,8,10,4,12,12,7,12,8,8,12,14,13,8,15,7,10,14,10,12,10,10,12,13,10,11,8,8,12,11,9,5,14,16,12,6,11,10,9,16,7,13,14,10,11,9,12,12,6,9,10,7,11,13,12,14,9,12,10,8,19,19,14,15,10,11,11,13,13,17,10,8,10,14,15,16,13,13,7,10,10,11,15,7,16,13,16,15,7,10,10,10,7,17,20,13,12,9,13,11,12,11,9,14,9,10,10,7,6,4,1,2,1,2,1,1,1,1,3,1,0,2,1,2,1,2,3,3,5,7,1,3,2,4,4,4,7,5,9,7,12,7,10,9,11,10,11,7,11,14,17,10,11,10,7,10,12,6,9,16,9,16,7,11,13,12,7,12,14,17,20,13,16,21,15,14,16,15,9,7,13,19,15,12,9,9,7,6,6,15,7,12
12,8,11,5,11,11,15,12,12,9,5,11,15,13,13,7,10,9,11,7,10,15,10,7,8,8,12,11,12,16,12,10,7,9,15,17,14,14,19,12,7,8,9,4,8,4,13,9,9,14,11,6,19,11,10,9,14,18,6,14,10,15,5,15,10,12,10,10,12,6,16,15,9,15,16,10,9,6,14,12,7,16,11,12,8,10,7,11,10,12,15,13,11,9,17,12,2,15,16,6,12,18,11,17,12,16,20,9,9,13,14,11,10,11,6,12,8,7,12,15,9,13,8,14,15,15,9,12,10,7,12,17,13,14,8,11,11,10,9,12,17,12,10,7,10,12,17,9,10,11,20,13,8,12,14,12,13,14,12,6,9,19,14,15,10,6,12,13,9,6,6,6,2,3,2,2,1,0,0,1,1,0,3,0,1,5,0,0,0,3,2,1,5,0,2,7,4,3,3,0,4,6,9,10,4,2,8,7,11,7,14,13,8,13,22,10,12,13,6,12,11,22,18,11,13,9,13,15,10,5,9,16,14,13,11,13,14,10,9,15,18,11,11,9,7,12,8,14,15,10,18,12,8,13,13,9
12,10,17,9,10,8,11,4,19,14,15,16,11,11,8,12,9,9,7,14,6,13,15,14,8,10,13,11,19,10,11,11,15,10,9,12,13,12,11,7,12,5,7,15,7,12,10,11,17,4,11,6,12,13,15,10,8,6,5,10,13,9,10,6,15,9,9,13,13,9,10,14,15,14,13,10,14,12,13,11,7,16,11,9,11,11,18,12,15,12,11,4,11,15,11,9,17,16,9,15,14,12,7,9,13,6,5,9,17,15,7,11,9,13,11,6,16,11,12,15,7,14,10,8,17,8,10,7,13,17,13,6,8,12,13,18,13,17,12,15,10,18,21,18,11,16,11,15,8,14,14,14,17,13,11,12,10,12,9,14,8,10,13,17,9,16,16,9,14,4,5,7,3,1,3,0,0,0,1,0,3,0,0,1,1,0,0,0,3,3,1,1,6,4,6,4,1,4,5,7,3,8,4,5,8,7,9,7,6,10,12,18,11,6,10,3,12,10,12,12,8,13,9,8,10,11,13,13,6,15,13,13,13,12,4,14,13,14,14,9,5,10,7,11,12,12,12,7,17,16,11,6,7,22,10,11
9,9,15,7,11,18,14,18,16,11,9,10,12,6,10,10,7,11,9,11,9,10,6,10,6,11,13,17,18,7,9,11,14,12,13,13,7,8,17,19,16,13,10,7,10,9,16,17,16,11,9,10,17,5,12,17,10,13,15,9,10,12,9,16,7,10,6,9,12,7,10,10,12,14,13,15,10,10,13,16,12,9,14,12,11,6,10,6,13,12,11,11,17,14,15,11,14,12,17,16,5,8,14,11,9,13,13,13,11,17,13,9,14,12,11,11,10,18,11,19,10,10,19,10,14,11,8,15,9,11,12,14,14,13,19,4,11,15,15,11,11,14,11,11,8,12,11,12,9,9,14,12,10,13,13,10,12,14,18,12,16,8,14,11,11,12,11,10,10,8,3,2,1,5,1,2,0,1,0,0,2,1,0,1,0,1,0,2,2,1,2,3,1,1,4,5,8,7,2,5,6,10,11,6,8,14,12,12,8,9,5,10,11,6,9,9,12,7,9,10,13,13,8,15,15,10,11,8,13,10,12,14,17,9,7,7,15,11,12,15,5,20,8,8,14,11,14,13,15,19,11,13,8,12,8,11
7,14,11,11,9,15,9,11,10,9,10,10,10,11,6,9,13,2,18,10,10,7,12,8,13,14,11,8,19,16,9,10,12,10,12,11,11,9,9,8,4,10,11,9,11,14,12,19,13,11,7,13,11,8,10,5,9,8,12,8,11,12,5,10,6,7,9,9,10,7,6,16,10,10,11,10,9,9,14,8,8,13,8,7,12,14,14,16,12,8,11,6,14,8,10,6,15,10,11,6,11,14,14,10,6,14,10,10,14,15,11,11,11,18,12,15,8,8,9,18,7,18,14,11,14,15,11,11,13,12,15,18,11,7,6,17,9,19,13,9,9,14,12,13,12,17,17,16,16,11,10,6,10,14,8,7,10,13,13,14,11,9,17,13,8,9,7,14,3,2,3,1,0,0,0,1,0,1,1,1,1,1,0,0,0,1,2,2,3,1,1,2,4,5,1,4,2,5,1,4,3,9,10,8,7,8,14,6,9,5,12,12,11,11,9,7,10,17,16,9,7,9,10,7,13,8,12,17,11,7,7,12,13,8,9,6,11,14,11,20,12,10,12,7,18,12,17,14,10,12,11,7,16,8,8,8
8,12,11,7,15,11,6,14,11,16,7,14,8,9,16,11,7,9,11,12,11,18,11,7,11,8,13,8,14,6,13,15,11,11,15,12,10,16,10,7,11,9,18,10,10,8,12,10,6,8,15,14,7,11,11,14,7,13,15,21,6,11,8,14,6,9,12,14,8,15,11,10,15,6,10,10,12,15,9,16,9,6,9,13,16,8,11,10,13,13,7,12,12,8,13,8,11,8,12,11,15,11,8,13,14,11,14,12,12,11,5,10,10,8,12,12,18,11,13,9,13,12,12,11,16,7,10,19,12,9,12,8,11,9,14,10,7,8,17,9,10,10,10,14,9,11,13,10,8,10,14,15,10,12,13,7,14,13,14,13,11,10,13,14,11,14,8,7,8,4,3,0,2,1,0,0,0,0,1,0,1,0,1,0,1,0,1,2,0,0,2,0,2,2,1,1,5,4,4,6,1,4,8,11,9,11,7,6,8,8,5,7,9,6,12,16,8,5,13,10,6,7,4,11,8,18,13,12,15,7,14,11,13,10,6,12,9,11,13,13,7,11,15,7,14,13,13,17,18,9,17,12,14,21,8,13
9,15,9,11,13,13,13,9,19,7,10,11,15,15,10,14,14,18,13,7,19,15,17,14,12,13,9,11,13,15,13,9,8,12,8,17,13,9,10,6,12,14,10,14,9,12,17,11,14,17,11,11,10,8,11,12,11,7,14,14,7,9,18,10,9,7,8,12,7,11,16,11,7,7,9,17,11,9,12,14,19,11,13,7,9,6,14,16,18,12,18,11,10,9,7,15,10,12,14,10,13,18,14,7,19,4,13,10,10,5,7,13,13,9,10,9,15,12,15,15,12,5,13,10,14,16,10,7,12,12,12,14,10,6,11,10,14,8,8,13,13,11,17,13,17,12,11,12,12,15,7,15,13,17,16,9,14,13,10,15,9,9,14,8,6,7,11,7,9,4,5,2,2,0,1,0,1,1,1,1,2,2,1,0,0,1,1,0,1,1,3,1,1,2,1,2,3,4,5,4,8,8,5,7,9,6,8,7,6,13,9,8,11,8,12,8,12,9,7,14,16,12,6,7,11,18,7,11,8,13,4,15,8,15,5,8,9,9,6,16,8,7,14,4,9,7,4,15,10,9,15,9,15,7,15,12
13,11,7,14,12,10,10,14,10,9,14,7,8,3,11,7,14,14,18,18,9,18,10,5,15,11,11,10,12,16,14,11,11,11,10,14,11,13,8,12,12,11,6,13,11,11,9,10,8,14,15,10,6,5,8,7,16,15,8,10,14,10,11,13,13,12,12,6,17,14,10,9,10,9,7,11,14,10,9,7,14,9,6,12,8,13,7,10,8,10,7,3,8,8,14,9,12,10,11,13,13,11,14,13,15,13,9,9,5,12,12,9,13,15,11,15,14,13,11,10,11,13,13,8,13,11,12,17,9,7,7,8,18,11,12,10,8,12,15,8,15,8,8,14,9,6,13,20,8,11,11,10,9,12,7,7,12,14,22,11,9,14,3,9,9,5,6,5,5,4,2,1,1,0,2,0,0,0,0,2,0,2,1,0,1,0,1,1,1,1,2,1,1,1,3,1,1,4,0,4,4,7,10,6,4,10,10,12,5,8,19,14,7,13,2,17,8,8,15,10,12,12,14,7,12,10,7,11,17,9,18,8,13,14,13,13,6,12,13,15,14,8,19,10,11,10,12,5,11,8,15,15,11,21,5,12
12,7,11,12,15,8,15,6,7,13,10,15,17,14,11,8,11,14,10,10,10,11,16,8,8,13,13,10,5,9,16,13,11,9,10,10,6,5,13,7,9,12,7,13,9,16,8,9,12,20,8,9,7,8,13,4,15,12,13,14,15,12,12,13,7,13,10,15,10,8,7,13,12,12,6,8,11,12,7,12,10,5,11,10,10,12,9,14,7,9,17,7,15,10,16,15,10,13,14,10,13,11,18,8,10,13,12,7,7,5,10,8,18,8,12,14,12,13,12,14,8,11,20,17,12,16,16,19,12,18,18,26,7,12,19,8,12,13,8,7,9,11,13,9,12,17,12,10,11,12,7,9,14,12,11,17,14,11,8,4,9,13,8,20,10,16,5,6,3,3,0,0,0,0,1,0,0,1,0,0,0,0,0,0,2,0,0,1,2,1,1,1,0,1,2,1,0,3,2,6,6,4,7,6,7,2,9,11,6,10,12,8,7,14,8,9,11,5,10,13,10,19,26,8,12,12,15,14,9,13,12,14,10,15,11,15,14,10,12,14,11,15,7,11,9,16,12,9,9,17,9,7,8,9,9,15
16,26,11,11,12,9,12,8,12,14,10,19,8,14,10,10,11,10,10,8,11,12,8,13,14,10,16,13,16,11,11,12,12,9,11,8,10,8,8,10,6,8,9,12,6,9,9,10,10,14,14,15,12,9,10,13,5,9,19,7,11,8,13,11,8,9,9,14,14,14,6,13,18,11,13,14,8,8,10,3,8,12,7,8,22,10,7,17,9,10,6,12,18,11,6,6,6,19,14,8,10,8,14,13,7,6,11,5,11,15,11,10,12,11,13,6,13,14,6,14,10,19,9,11,13,15,8,9,12,17,8,13,12,15,10,14,8,11,9,11,11,10,10,17,8,15,9,12,14,7,12,8,9,6,9,12,11,10,7,9,11,7,13,12,8,8,4,7,4,5,2,3,0,0,0,0,1,0,1,1,0,0,0,0,2,1,3,0,2,4,2,3,3,3,4,3,3,1,2,3,1,3,4,9,3,6,12,10,9,12,10,7,14,8,12,11,8,11,9,14,8,10,14,10,7,16,10,13,13,12,13,10,14,9,13,10,14,5,16,15,12,8,7,6,7,9,8,10,13,10,11,20,12,16,12,14
11,13,10,19,13,11,9,14,13,11,8,11,13,16,13,9,9,16,12,11,15,14,13,9,10,12,16,10,14,13,8,7,9,6,22,14,15,11,9,10,14,11,6,6,6,9,15,10,9,11,10,8,7,13,16,8,10,14,10,8,7,5,10,15,14,10,13,10,8,12,16,13,5,15,4,6,11,8,9,15,9,3,12,14,9,15,18,11,16,13,10,9,13,18,8,8,7,12,14,13,16,11,11,8,8,10,12,12,16,14,18,14,10,14,14,10,5,15,14,13,11,6,10,11,10,12,8,16,17,8,17,15,16,13,19,6,11,10,9,12,7,11,12,13,13,11,8,15,16,13,17,15,8,6,14,13,9,10,13,8,12,14,10,12,5,9,4,1,3,1,1,0,0,0,0,0,1,1,0,2,1,0,1,2,1,0,1,1,2,2,1,1,1,0,3,1,1,3,0,2,2,3,5,3,4,4,10,3,6,11,13,7,13,6,11,9,11,6,8,7,5,8,16,10,13,10,12,14,11,12,9,7,11,6,14,8,16,10,8,14,17,12,11,18,12,8,9,9,17,9,10,17,6,12,6,5
11,10,13,14,13,11,16,10,9,18,19,14,16,16,11,14,14,11,14,14,12,6,7,13,12,17,6,9,12,14,10,18,8,9,12,11,11,13,13,9,14,5,10,10,13,11,14,10,14,18,16,11,9,11,13,11,5,9,9,16,15,12,10,17,9,17,8,6,6,8,13,12,8,14,8,7,12,12,12,7,13,15,11,9,9,8,9,11,16,8,11,13,9,11,15,14,13,22,12,13,13,9,18,9,14,12,19,10,17,8,11,8,10,14,9,14,15,8,15,15,7,8,11,8,12,13,14,11,6,8,7,16,12,16,16,15,9,11,13,10,10,12,17,5,9,13,11,15,10,9,13,14,10,11,15,12,8,10,5,9,14,14,12,13,5,9,4,3,1,2,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,0,2,0,2,2,2,2,1,1,2,2,2,3,4,4,5,5,5,7,2,5,7,4,10,6,11,10,11,7,12,13,7,15,11,16,12,7,7,15,12,7,10,18,9,4,14,19,13,11,9,14,14,11,12,9,11,13,9,10,9,15,9,14,10,10,12,8,3,12
11,8,17,12,6,9,10,7,9,12,7,8,5,9,15,12,9,11,13,12,13,11,14,18,14,16,14,9,10,10,11,14,11,10,8,5,7,12,15,11,9,12,7,11,12,13,7,7,10,6,11,8,13,11,10,5,9,7,10,4,10,12,17,7,11,5,7,7,13,9,11,8,7,6,13,15,5,4,10,10,10,12,13,10,12,13,7,14,9,11,6,13,13,11,12,12,12,11,9,9,16,11,12,13,11,11,10,10,10,11,15,12,12,10,9,15,9,13,13,8,13,16,18,16,13,12,19,13,15,12,15,10,17,12,10,10,5,8,13,15,17,11,5,12,5,8,11,7,12,8,13,16,20,15,12,10,7,17,7,8,8,14,9,5,4,4,7,5,3,0,1,0,2,0,0,1,2,2,1,0,1,0,1,0,1,0,2,0,3,0,0,1,1,3,0,2,3,1,5,3,2,2,2,3,5,5,2,3,14,8,10,7,9,11,6,13,12,4,7,7,8,13,11,12,18,8,7,6,14,12,13,12,13,6,10,8,15,11,13,16,11,13,16,10,16,13,13,14,16,10,9,8,14,12,12,6
10,13,4,11,8,11,12,13,13,8,11,6,14,8,10,14,9,5,11,10,9,10,14,7,7,17,7,12,10,13,7,9,12,9,10,11,15,11,12,13,8,4,6,12,13,5,14,9,10,17,16,8,10,12,11,11,7,9,10,7,11,12,11,18,11,14,9,12,14,7,14,10,11,8,12,10,9,11,8,15,14,10,11,12,8,12,14,21,7,16,13,18,12,6,14,5,11,9,14,7,11,15,10,11,9,8,10,13,12,11,13,10,8,14,13,17,10,11,12,13,13,18,17,7,12,8,13,11,14,12,9,11,20,18,9,18,11,13,13,10,16,17,9,10,15,15,16,9,11,11,11,17,13,8,10,5,5,8,6,9,11,7,11,3,5,6,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,2,0,0,0,1,1,0,1,2,2,2,6,4,3,3,2,4,7,2,0,6,4,5,5,8,12,8,9,12,11,11,10,18,7,16,15,13,16,17,7,15,13,14,11,17,14,8,12,10,16,15,8,3,14,9,14,6,7,15,15,12,15,15,14,18,10,12,13,8,8,8
10,17,10,5,9,8,8,11,13,4,11,14,8,12,13,8,7,10,13,15,13,10,12,6,11,16,13,14,9,9,17,17,17,14,14,7,11,6,4,13,7,14,15,12,14,12,14,6,14,9,6,17,9,7,17,8,8,6,12,15,10,7,7,10,15,14,8,11,9,7,12,9,9,9,6,7,11,11,12,12,8,10,5,15,9,13,5,9,13,9,10,14,7,12,10,6,16,16,16,9,10,13,6,12,11,10,14,10,14,12,16,12,6,14,14,11,12,17,11,15,12,15,7,11,10,10,15,9,19,9,9,6,16,12,14,12,10,15,12,19,13,12,14,15,10,10,14,9,12,12,18,11,16,7,18,16,6,14,14,9,6,11,11,12,6,5,2,2,1,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,4,0,0,3,3,1,3,5,2,7,4,3,5,5,6,9,9,9,10,14,10,10,14,5,10,8,14,12,15,12,14,6,12,9,14,15,14,8,17,6,13,12,13,9,11,9,19,7,6,18,12,9,8,13,15,13,13,9,13,5,6,13
11,11,7,8,13,14,9,12,13,17,11,10,16,10,13,14,15,6,8,15,16,7,11,15,18,9,8,15,12,9,13,6,7,17,13,8,14,14,13,5,12,15,10,6,6,6,17,14,16,13,11,15,11,5,12,11,7,13,7,11,14,9,13,13,4,8,11,8,9,8,13,12,9,16,9,7,6,9,18,17,12,9,13,10,11,13,9,9,18,16,5,10,8,10,7,15,15,12,13,8,15,10,13,7,12,7,9,4,12,4,12,9,11,13,9,13,11,7,8,10,7,9,8,11,9,15,22,17,10,14,18,11,11,7,8,10,9,18,10,11,17,9,11,13,7,12,6,12,13,10,11,10,12,10,5,14,8,14,14,11,6,4,4,2,5,4,0,3,2,0,1,0,1,1,2,1,1,0,0,0,0,0,0,2,0,0,0,0,0,0,2,2,1,0,1,1,2,3,2,0,3,4,4,2,2,5,5,2,11,8,7,8,10,11,13,13,10,5,6,9,7,10,9,11,13,16,7,12,6,7,2,12,7,10,13,9,6,12,15,16,12,7,8,11,8,12,19,10,15,9,8,20,12,11,8,12
14,11,9,15,8,12,13,13,8,8,5,11,12,11,13,18,14,12,6,9,15,12,11,8,15,15,7,10,12,8,10,6,7,9,5,11,9,9,16,9,14,19,11,10,12,12,10,6,10,12,14,10,11,11,4,12,10,6,18,10,14,8,14,9,11,6,9,6,12,7,10,15,12,12,15,9,9,12,11,8,8,20,14,12,15,13,8,12,11,9,9,14,10,8,8,15,12,17,16,13,17,10,4,11,8,22,9,15,14,13,9,14,9,13,6,8,11,12,11,11,14,7,12,8,18,12,10,10,16,12,6,8,12,12,9,9,10,13,6,13,12,15,9,7,7,12,13,10,13,14,10,8,11,10,8,8,9,11,18,8,6,12,5,5,5,2,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1,2,3,4,1,2,2,0,2,7,3,4,2,1,6,5,3,12,12,7,4,10,7,11,10,6,10,11,11,5,13,6,19,10,14,7,10,6,8,11,9,6,13,15,11,7,15,6,6,19,8,9,10,6,12,13,15,7,14,15,18,16,10
22,5,8,7,11,16,15,13,12,21,7,8,16,10,11,10,8,14,7,10,17,13,16,16,15,18,9,13,15,19,19,6,7,12,10,14,8,13,14,8,20,20,12,20,11,11,13,7,13,12,9,10,13,17,13,13,10,14,11,11,11,13,7,17,11,9,10,11,9,10,17,14,13,15,9,8,10,10,12,8,15,8,8,7,8,6,10,8,4,12,11,10,15,11,15,8,9,10,11,9,15,12,12,16,18,14,13,12,8,8,14,8,17,11,16,14,14,11,11,11,12,9,10,12,12,10,11,15,9,15,19,9,13,13,11,9,13,16,9,14,6,15,11,17,6,9,10,9,20,11,12,10,12,10,13,14,11,7,20,6,13,5,7,8,5,6,0,1,0,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,3,1,1,2,3,1,2,1,2,0,2,3,7,5,8,7,3,1,4,5,5,10,6,14,6,7,8,11,6,1,8,8,13,9,12,11,10,15,9,13,7,14,13,13,20,8,7,11,12,17,1,11,14,9,9,14,10,5,8,10,9,12,10,12,16,15
13,8,16,8,15,10,12,8,11,11,15,9,10,11,11,11,13,12,14,10,11,10,10,11,14,9,11,10,8,12,12,13,15,8,18,8,11,9,17,19,15,13,20,11,18,13,10,12,12,13,9,7,16,7,11,9,16,8,9,18,9,13,7,8,5,12,5,21,9,14,13,13,13,8,12,19,18,13,15,9,13,7,21,13,12,11,12,8,8,10,7,11,16,11,14,13,14,14,12,17,11,11,9,10,6,8,13,14,14,15,17,5,19,12,8,8,18,10,13,11,8,12,11,9,15,15,12,18,10,11,8,15,13,10,18,11,12,6,11,3,12,15,13,10,10,13,3,15,13,16,9,8,12,14,10,15,6,9,15,9,11,10,3,8,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,2,0,0,1,0,1,1,2,0,2,0,1,2,3,3,4,4,4,1,5,7,5,11,9,5,9,12,9,7,11,7,6,12,11,10,7,9,8,8,12,10,9,11,16,21,12,7,10,12,13,15,17,10,10,7,11,18,11,11,13,11,10,14,12,11,8,15,12,21,12
9,10,6,13,8,8,15,13,6,11,11,9,11,15,8,15,15,5,11,9,16,11,7,11,12,11,10,7,6,16,12,16,8,11,10,10,12,10,14,10,12,11,9,10,11,6,10,7,14,12,12,7,10,7,16,13,10,8,10,9,15,10,8,18,15,16,11,12,12,17,9,6,16,13,9,11,8,10,11,11,13,15,10,14,11,6,9,8,9,14,9,15,19,7,15,18,12,7,13,13,8,11,11,8,12,14,16,5,7,13,8,17,14,14,13,17,10,6,8,10,12,14,9,7,13,6,19,8,10,7,9,7,13,14,9,12,9,19,12,10,17,8,13,18,13,11,12,11,9,11,15,11,13,12,13,9,12,11,11,4,6,7,5,6,0,4,3,0,0,0,0,1,1,0,1,0,0,0,0,2,1,0,2,0,0,0,0,1,1,1,0,0,2,0,0,2,0,1,0,0,5,6,1,2,2,2,3,9,3,7,7,4,8,7,7,5,14,9,8,5,8,6,17,9,8,4,12,9,17,15,12,8,11,8,4,14,9,16,10,8,11,12,16,12,10,16,5,17,13,12,13,12,16,12,12,12
11,4,5,10,10,11,10,16,10,13,8,9,14,7,12,13,12,10,5,13,4,11,10,9,12,9,11,17,7,7,10,11,7,11,14,11,9,11,14,7,12,10,8,10,14,12,9,7,9,17,9,8,9,6,12,6,13,10,8,12,12,7,16,8,13,7,13,9,16,10,10,14,16,6,11,8,16,15,13,7,18,12,16,11,14,11,11,18,16,7,9,4,15,15,15,12,13,8,7,10,15,15,21,16,10,12,15,18,14,13,7,16,6,14,13,11,16,11,14,13,12,9,11,19,11,9,10,11,10,11,12,15,14,6,9,16,15,14,15,21,10,9,17,11,12,12,13,11,6,10,15,12,11,11,6,16,9,13,9,8,6,8,2,4,2,2,1,0,0,0,0,0,0,2,1,0,0,0,0,1,0,2,0,0,0,2,0,0,1,1,0,1,0,3,0,1,2,4,2,2,3,1,5,2,4,5,4,4,7,4,8,7,5,11,4,8,12,11,8,6,16,10,7,4,12,13,10,12,10,12,8,9,10,11,9,11,16,9,20,15,10,12,14,7,6,14,11,9,16,7,10,9,11,15,7,14
20,8,11,9,15,9,9,10,15,8,8,11,15,9,18,11,8,15,12,8,11,16,9,13,12,12,11,13,10,18,11,14,7,6,14,12,12,9,14,14,10,7,7,13,11,12,9,11,11,9,15,15,14,13,10,18,8,7,12,10,15,14,8,10,6,11,7,11,15,11,10,11,10,15,14,14,12,14,12,14,7,9,9,12,7,7,25,8,16,15,9,7,12,6,12,10,11,17,11,8,10,12,11,5,15,15,9,12,8,11,8,9,9,11,13,12,8,13,9,11,14,11,17,11,8,11,8,14,14,7,6,14,12,4,12,8,9,9,14,15,10,11,17,9,13,8,18,11,11,6,6,14,7,14,12,13,5,11,10,7,5,3,3,0,0,0,2,0,1,0,1,1,0,0,0,0,0,1,1,2,0,0,1,1,0,0,2,0,0,2,0,1,0,0,0,1,3,0,0,5,1,2,1,3,6,0,3,11,6,10,8,7,7,14,4,3,4,5,10,9,12,10,10,7,7,14,12,8,11,21,14,9,12,15,9,11,14,13,11,14,13,9,13,13,17,17,8,10,14,8,11,6,8,10,8,11
6,12,15,19,11,12,15,13,9,10,7,13,2,10,11,11,12,11,13,16,11,7,13,11,16,13,9,18,11,10,11,9,14,6,11,8,10,12,18,17,7,13,11,9,15,9,8,6,10,15,10,7,11,11,15,11,11,14,6,13,14,9,10,10,11,8,15,11,13,13,12,11,19,9,12,13,8,10,15,14,8,5,10,17,15,19,11,16,9,18,11,16,15,8,20,10,18,13,9,15,12,6,8,14,12,14,9,10,15,5,10,13,13,13,11,10,7,11,11,14,12,11,14,10,14,12,15,19,11,15,11,14,18,14,19,11,12,12,13,12,14,12,9,9,11,13,12,10,9,9,13,16,6,13,16,7,9,10,7,7,7,4,4,1,1,1,0,2,0,1,0,1,0,0,0,2,0,0,1,0,2,2,0,2,2,0,0,0,0,0,1,0,1,1,0,0,4,0,0,1,1,3,4,4,6,2,3,4,10,5,6,2,11,5,7,7,9,4,10,5,12,14,11,12,9,7,7,10,10,13,9,11,14,17,9,10,10,11,8,8,19,9,9,15,12,12,9,10,6,7,9,11,10,11,8,8
8,20,8,7,17,9,12,6,7,6,9,11,9,8,12,14,14,18,5,10,11,14,13,14,11,16,8,11,10,11,13,11,9,14,8,7,9,10,16,6,14,15,11,11,12,7,7,7,11,12,5,8,13,6,6,11,19,18,12,13,11,9,18,15,8,10,8,8,6,8,8,9,7,6,13,8,13,9,17,11,12,5,5,11,10,10,7,13,8,15,13,9,5,1,13,13,14,9,7,14,17,18,15,14,16,12,15,12,14,9,9,10,11,12,13,8,7,10,10,9,10,16,8,15,16,12,5,8,7,10,11,12,12,9,14,10,15,10,6,11,18,7,11,11,14,7,12,11,6,9,12,12,9,11,15,9,10,10,10,8,2,1,5,1,2,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,0,1,1,0,1,0,2,1,1,0,1,0,3,1,0,1,1,2,2,0,5,5,5,0,2,4,10,3,6,6,8,7,7,8,8,12,7,11,6,13,10,11,10,13,7,11,12,8,13,12,9,12,8,9,9,16,15,11,14,5,14,3,13,9,8,12,5,11,9,14,17,11,10,19
14,9,7,17,13,9,13,10,10,9,6,12,14,11,12,13,8,12,12,9,7,12,15,12,3,10,13,11,11,16,14,10,15,12,13,15,10,9,11,8,9,13,22,12,15,11,11,14,8,8,9,6,10,12,14,6,9,14,6,10,11,14,15,12,9,6,9,9,9,8,10,10,22,16,9,7,6,13,17,14,15,7,8,8,14,13,11,8,12,15,14,13,10,14,15,13,20,16,15,7,14,15,16,21,14,13,13,11,10,11,14,10,12,17,13,12,10,7,5,10,15,8,9,9,10,10,10,3,16,7,15,8,8,7,12,7,12,13,15,8,14,15,12,9,7,10,12,15,14,11,12,16,7,12,9,15,9,9,5,9,2,1,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,0,0,3,1,1,2,1,0,1,0,0,0,0,0,2,2,2,0,2,0,0,0,2,0,0,1,5,3,5,4,5,6,4,11,8,7,4,15,5,16,9,4,8,15,12,17,16,8,10,7,12,9,7,13,10,5,9,10,15,11,16,12,14,12,7,11,15,16,19,13,16,11,9,9,14,9,10
14,10,11,15,14,13,12,10,11,11,15,13,6,11,11,8,14,11,11,9,7,10,18,18,17,13,10,11,18,14,8,14,9,12,14,12,14,12,15,13,13,9,8,15,6,11,11,8,10,12,14,14,15,11,10,13,9,6,11,8,10,17,7,12,7,10,11,9,13,15,16,16,9,5,3,5,10,8,10,14,12,20,9,16,7,16,16,10,11,15,9,14,9,13,18,12,10,15,10,14,11,8,13,9,9,18,13,14,5,11,11,15,14,11,12,12,10,11,13,9,10,10,13,13,9,13,10,10,6,14,9,17,12,9,26,10,15,9,8,12,13,14,10,15,16,16,9,12,12,16,8,10,11,12,12,11,10,7,3,4,3,3,4,1,1,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,2,0,0,2,1,1,2,3,0,1,2,2,0,1,2,1,3,1,2,2,4,3,8,3,5,4,4,6,8,7,9,6,10,9,12,10,7,8,7,8,7,6,8,15,7,8,14,7,10,13,13,8,17,10,10,10,7,7,4,12,13,12,11,8,14,18,16,14,14,10,12,14
16,19,14,11,19,6,10,11,9,5,9,5,9,7,17,8,8,7,14,12,15,9,15,17,8,11,11,15,14,10,8,15,11,10,9,7,7,7,16,5,15,12,8,13,8,12,6,9,8,10,10,12,13,10,13,9,10,12,11,6,14,12,7,9,7,8,11,13,11,11,15,11,7,15,14,6,17,3,11,13,16,7,13,17,11,12,13,18,11,8,8,16,15,14,13,15,9,6,7,13,11,11,8,13,12,18,12,13,10,9,15,14,18,17,10,8,13,8,11,9,14,16,9,8,13,9,7,9,8,13,13,11,7,11,13,15,12,8,7,17,14,8,15,17,8,16,10,8,13,14,12,9,11,11,12,13,6,6,7,3,1,2,1,2,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,1,1,1,1,0,1,0,0,1,0,0,1,2,1,4,2,5,1,4,3,1,3,2,4,6,5,3,9,5,6,5,7,11,7,4,11,11,6,8,10,8,15,9,12,10,9,13,9,10,13,11,8,8,12,13,13,10,7,12,18,14,13,18,12,7,10,18,17,11,8,18,10
13,10,21,7,8,7,14,14,10,9,9,16,14,8,11,7,19,9,13,7,12,12,10,13,9,13,18,11,11,9,13,6,7,11,9,10,14,8,15,10,13,9,13,5,16,15,4,9,14,16,15,12,9,9,8,11,11,11,6,9,9,5,5,12,14,15,8,15,14,8,14,11,15,14,10,13,10,10,10,12,12,11,11,10,12,11,14,11,17,11,7,19,10,8,13,10,12,8,18,14,6,10,9,15,9,14,10,9,13,12,14,12,14,10,6,17,15,15,10,15,8,10,6,11,13,11,13,7,13,12,10,12,10,13,15,12,12,14,12,9,9,9,9,7,12,15,8,9,13,10,13,12,9,8,8,6,10,6,9,6,5,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,1,2,0,0,1,0,3,1,0,0,0,2,1,5,1,5,2,2,2,0,2,5,5,5,5,4,8,10,6,4,14,5,6,11,3,12,17,13,12,7,9,9,7,9,15,10,7,7,17,10,11,13,15,16,11,9,13,9,13,17,7,10,13,14,15,15,9,7
11,13,12,10,6,11,7,13,14,10,6,9,11,10,17,6,9,10,10,14,9,11,15,15,12,5,14,10,7,10,24,12,10,12,10,10,9,11,9,12,6,12,8,13,10,7,17,11,13,12,13,8,14,14,7,20,7,9,6,12,15,12,9,13,8,15,8,2,7,15,9,13,12,15,16,15,13,8,7,5,5,12,10,15,13,12,11,5,16,8,16,11,15,11,9,11,9,11,8,11,13,9,11,11,16,17,17,14,12,9,13,15,11,12,13,9,13,10,17,14,11,13,12,25,8,10,10,8,14,13,10,13,17,15,14,14,14,11,17,13,12,9,16,13,9,9,9,11,17,12,12,14,6,6,3,7,3,8,5,3,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,2,1,0,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,2,1,0,1,2,1,7,5,7,3,7,5,4,7,4,11,10,5,12,13,12,9,9,11,12,7,12,13,10,12,12,8,12,9,12,8,9,14,7,7,8,13,14,6,10,12,9,13,19,15,18,12
7,13,19,14,7,9,12,10,4,9,11,10,15,18,10,11,16,20,16,13,15,13,14,7,9,12,4,14,13,11,12,10,9,9,14,13,9,12,13,9,19,13,13,10,10,15,13,15,9,6,11,14,15,12,12,8,8,14,8,7,14,20,13,11,9,4,10,10,10,17,13,14,6,7,13,10,10,11,16,9,17,5,11,9,8,14,10,14,17,15,14,12,14,9,15,8,19,15,14,14,12,6,15,13,9,12,10,15,8,15,15,11,13,20,16,12,13,10,13,9,15,17,13,10,8,10,10,12,11,19,10,11,11,17,10,12,13,10,15,19,11,16,14,7,11,20,12,17,16,19,10,10,8,10,12,8,6,4,1,2,1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,2,0,0,0,0,1,0,3,0,1,1,0,0,1,5,2,4,1,6,5,3,6,4,9,6,7,3,9,14,8,16,4,8,7,10,11,9,6,16,9,14,8,10,15,11,18,8,11,8,8,15,12,12,11,14,12,12,13,13,9,16,13,16,13,6
17,7,9,10,20,9,7,4,10,13,12,9,6,15,9,4,14,11,11,11,9,12,10,11,17,18,12,9,12,15,13,13,11,9,12,7,8,13,12,10,11,13,7,15,9,11,11,9,8,12,13,10,14,12,11,11,6,15,8,5,14,14,9,11,10,12,17,9,16,9,8,14,11,13,11,10,9,10,9,17,11,15,13,8,8,10,18,11,6,9,19,12,8,15,11,9,18,7,9,17,8,18,10,4,14,17,7,13,6,12,13,10,12,13,10,11,21,11,12,15,13,11,14,17,16,19,12,17,10,13,22,13,11,11,12,12,11,15,10,16,14,19,15,18,10,12,8,10,16,23,18,15,9,13,4,8,6,11,3,4,0,1,3,0,1,1,1,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,2,0,1,0,0,2,0,0,1,1,1,0,1,3,1,1,4,2,3,1,5,2,6,7,10,4,3,10,9,6,5,9,10,7,12,11,8,12,12,7,13,11,17,12,9,13,9,11,16,10,7,9,6,9,15,14,10,14,9,17,12,11,18,8,8
9,15,18,13,14,14,13,13,8,10,8,10,11,16,7,14,10,10,11,12,12,10,12,14,8,12,14,9,9,15,12,9,10,8,7,10,11,13,10,10,12,9,13,7,12,16,10,8,14,13,8,10,11,11,12,15,11,4,13,22,11,12,13,14,14,9,11,8,11,11,6,15,17,14,13,11,8,16,7,11,13,14,13,9,7,15,11,7,15,11,10,12,10,13,11,14,8,14,12,9,17,11,10,9,13,9,12,14,13,16,12,16,15,12,5,9,10,13,13,9,10,15,11,8,13,13,10,15,15,13,8,11,11,14,10,17,16,14,16,7,9,11,12,11,13,12,10,12,8,16,16,9,11,12,8,9,4,3,3,0,1,1,0,1,2,0,0,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,0,1,2,2,3,0,0,0,2,0,2,2,2,0,3,3,4,1,6,9,11,5,8,8,8,9,7,6,9,7,10,5,8,7,6,7,8,8,10,9,14,17,10,11,15,14,9,11,17,12,8,11,9,10,14,10,15,12,7,10,7,11,7
13,10,9,7,15,8,15,16,12,17,11,12,11,15,13,13,10,12,14,11,8,9,15,8,12,11,9,18,12,13,8,9,5,9,8,11,9,9,6,9,6,11,6,11,11,16,6,13,8,12,9,14,14,15,10,15,9,9,7,15,10,8,11,12,8,14,16,12,15,9,15,18,12,16,10,11,17,7,11,17,11,15,13,10,16,13,15,11,9,12,8,10,12,13,14,17,8,11,8,9,16,10,13,12,16,15,13,12,12,13,12,17,16,19,13,20,15,5,12,14,18,10,13,13,18,13,10,16,11,18,11,14,16,11,6,6,17,14,6,13,13,16,13,9,12,22,10,11,13,15,12,11,8,9,7,5,2,5,4,2,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,0,2,1,1,0,4,3,3,1,1,7,4,3,8,5,4,4,4,8,4,11,10,9,7,11,13,10,9,9,8,6,11,6,13,8,12,13,19,12,10,14,16,10,11,11,13,12,17,13,10,9,11,9,14,15
9,10,11,13,16,14,5,10,13,15,11,13,15,11,14,10,12,13,16,10,10,17,6,5,11,6,9,9,8,7,13,10,10,10,7,8,16,16,14,11,19,18,10,18,7,9,14,11,16,6,9,10,13,13,12,17,12,16,14,12,7,9,17,11,10,18,17,7,10,16,13,10,10,6,15,13,8,9,11,8,23,15,11,14,7,14,8,16,10,19,10,14,13,9,9,9,8,8,13,12,12,11,12,12,14,10,20,14,9,10,10,10,15,13,8,20,9,10,14,11,10,9,13,10,12,11,17,12,14,10,11,9,20,6,14,12,8,14,10,12,13,10,12,9,16,9,6,16,9,13,11,10,10,8,5,5,4,4,3,0,1,1,0,0,0,2,0,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,0,0,2,1,1,0,0,1,0,3,1,3,5,2,3,1,1,4,1,7,7,8,6,4,8,9,8,7,9,12,7,11,20,9,11,10,6,13,11,16,13,7,11,16,10,18,11,11,10,14,18,10,12,13,14,15,5,4,11,10,13,13,18
16,19,14,7,9,9,6,16,10,13,13,7,20,5,7,14,5,11,10,13,14,16,9,8,5,8,17,15,13,11,6,13,12,9,9,8,20,6,14,15,11,6,10,8,7,4,14,12,12,7,7,8,15,12,13,9,11,6,8,13,18,13,15,8,17,11,7,16,19,17,9,11,14,12,15,16,3,12,6,12,15,19,9,7,7,7,8,9,17,9,12,8,7,12,12,10,12,5,10,17,11,9,9,11,12,14,21,15,13,17,6,12,14,13,11,13,9,13,9,14,9,14,13,10,11,14,17,17,10,9,13,10,16,10,14,10,13,14,10,13,13,7,12,14,8,16,6,20,5,10,11,13,8,9,5,7,4,2,3,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,1,0,1,1,1,1,3,2,3,1,3,5,1,2,8,5,9,3,8,5,6,7,6,7,11,8,15,13,8,7,6,6,9,10,8,10,15,8,23,7,11,7,12,19,19,10,16,10,7,11,8,17,11,8,17,9
13,12,5,14,18,14,10,8,8,16,7,11,12,9,10,8,15,12,7,10,9,9,8,14,12,9,19,10,11,9,6,7,14,6,8,6,5,9,13,9,7,7,12,6,15,8,8,14,13,9,8,8,9,12,9,8,7,12,13,14,13,11,12,11,12,15,11,7,13,13,14,12,14,8,8,14,10,12,17,11,11,15,13,11,11,11,7,11,15,8,13,13,12,16,9,9,10,8,17,13,11,11,12,8,12,6,14,10,10,8,9,13,18,6,7,11,13,11,7,14,14,15,14,10,16,9,16,10,8,19,10,9,10,10,13,14,14,15,22,18,11,12,17,16,5,13,14,5,14,5,12,10,10,6,5,7,2,4,3,1,0,1,0,0,0,2,0,0,1,1,1,1,0,1,0,2,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,1,0,1,1,5,3,2,0,0,1,0,1,0,2,1,3,2,4,1,6,1,4,3,4,4,7,7,3,7,10,10,11,7,10,9,8,10,13,7,18,7,17,12,9,7,14,6,13,21,8,7,13,17,7,15,8,12,12,11,10,13,8,9,8,9
14,8,10,11,10,16,7,9,10,11,20,14,12,13,12,6,13,10,13,13,8,15,12,13,15,10,17,12,6,4,13,9,12,10,13,10,8,9,11,12,14,17,6,14,8,13,11,8,16,14,11,10,11,7,10,11,19,12,13,12,13,6,5,6,11,10,9,9,12,9,11,12,18,5,9,10,17,15,12,9,9,10,12,10,10,8,10,14,8,8,10,9,10,15,6,10,9,16,12,9,13,18,14,12,13,14,8,7,13,15,8,19,14,13,13,10,13,12,14,15,14,9,13,13,12,16,13,17,12,7,15,13,12,10,13,13,13,13,12,9,17,15,8,8,10,16,9,6,9,9,11,5,7,5,6,6,4,1,1,2,0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,1,1,1,2,0,0,0,0,0,0,1,3,1,0,1,0,0,0,2,6,1,3,2,5,2,2,1,8,3,7,9,1,7,8,13,7,8,10,7,6,8,13,4,6,9,11,11,13,13,8,7,18,16,10,12,15,8,12,5,14,19,11,12,12,6,11,11,11
7,9,9,12,11,19,15,12,8,6,13,10,17,10,15,11,10,20,11,9,12,12,11,12,13,7,10,12,17,9,17,18,7,6,18,13,6,11,11,10,7,16,9,16,12,12,8,12,7,11,13,10,11,6,10,9,14,7,6,12,9,13,10,14,13,5,9,9,13,8,11,8,13,16,13,14,8,13,8,11,9,8,12,9,8,17,9,8,8,11,6,15,9,15,16,8,11,12,5,11,12,12,15,10,9,17,8,15,13,9,12,7,14,14,10,16,15,6,9,8,16,9,8,21,14,11,13,18,9,11,11,13,11,15,6,19,9,10,13,14,10,14,14,13,7,9,10,15,17,13,10,9,11,3,6,3,5,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,2,1,1,1,1,5,2,9,3,5,6,2,1,5,7,6,4,9,8,8,10,7,7,13,10,6,16,6,10,8,11,8,2,8,8,20,9,17,12,15,10,15,10,10,7,10,11,12,8,14,15
9,10,13,16,11,9,7,15,6,6,13,12,17,10,13,7,13,13,14,13,10,13,8,14,22,6,6,13,14,14,7,14,9,5,10,14,9,12,16,13,10,5,10,15,14,10,14,11,10,16,16,13,13,18,18,9,9,15,7,9,7,14,12,10,7,3,6,8,8,8,9,5,13,11,7,8,7,14,4,11,11,14,11,13,13,13,10,19,7,8,6,14,10,8,10,14,4,8,9,11,10,12,18,9,11,13,6,14,15,10,10,19,11,9,17,8,10,9,15,14,15,18,12,15,10,18,15,16,18,15,11,8,14,11,19,10,11,8,9,9,11,22,6,17,16,11,10,9,9,8,12,7,9,4,3,5,3,0,1,2,1,0,1,0,0,0,0,2,0,0,1,1,0,0,1,2,1,0,0,0,2,1,0,0,0,0,0,1,1,1,1,1,1,0,0,0,1,3,0,0,0,1,1,1,1,0,1,5,0,3,2,0,2,6,2,2,2,1,1,3,4,6,3,8,8,10,15,11,6,8,13,13,11,6,8,4,12,11,8,10,6,6,10,11,15,13,10,13,8,14,8,13,8,18,21,11
10,10,12,7,13,12,14,16,14,11,12,13,15,8,14,17,15,12,11,16,10,9,7,10,8,20,13,17,11,8,7,10,9,11,12,10,12,8,9,10,13,8,16,4,12,9,9,14,9,11,14,10,13,13,13,17,11,9,7,20,9,14,14,10,17,8,10,14,11,9,9,14,15,10,10,11,7,13,10,9,12,10,13,10,15,13,11,8,13,11,9,7,5,14,4,8,12,10,14,12,15,8,8,13,13,5,13,14,13,12,8,10,10,7,11,21,8,9,12,4,19,11,11,6,8,13,9,10,15,14,9,16,21,4,10,13,18,16,11,14,7,14,17,13,9,8,6,10,4,10,9,5,5,4,4,2,3,2,1,1,1,1,0,1,0,1,0,1,2,0,1,0,0,0,1,1,0,1,1,0,0,1,1,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,1,1,0,1,0,0,0,3,0,3,2,1,2,2,2,5,7,2,1,5,4,9,10,8,13,9,11,5,11,8,11,13,14,4,9,10,10,8,15,9,11,10,6,9,12,13,9,10,10,11,14,14,9,7,9,12,10
8,17,8,11,9,7,11,10,9,10,13,9,19,12,10,7,10,16,11,20,12,11,9,7,18,10,11,16,8,14,12,3,14,5,9,14,11,10,15,14,14,9,9,16,15,10,14,12,12,16,11,14,11,8,4,16,10,11,15,13,17,9,8,12,7,11,15,9,11,5,11,6,7,6,14,15,13,11,8,20,12,12,11,13,16,10,15,12,14,10,15,17,7,10,7,16,10,13,13,14,11,15,12,7,6,8,11,15,10,9,10,7,12,16,11,13,9,16,6,13,9,13,9,14,8,11,12,20,12,11,10,17,12,18,14,17,9,2,10,11,14,15,8,16,9,13,13,11,10,10,8,7,11,4,1,1,2,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,1,0,0,1,1,0,0,0,2,2,2,0,0,1,2,1,2,4,2,2,3,3,5,1,7,7,4,6,5,11,5,12,5,7,11,16,6,16,7,15,9,5,6,10,10,12,11,9,12,8,15,16,13,13,10,10,13,8,13,8,12
8,14,6,17,9,11,8,16,19,13,14,12,12,9,10,19,8,10,12,13,11,13,10,20,14,11,7,14,12,16,8,13,18,12,8,8,10,8,9,15,12,7,9,9,18,11,7,6,18,12,10,11,11,14,12,13,14,5,18,13,6,11,13,17,10,9,7,10,14,9,10,5,6,13,10,5,8,12,15,6,13,6,14,12,9,8,9,15,9,12,10,9,13,11,13,9,10,13,8,15,14,17,5,10,12,12,19,8,13,9,12,11,10,5,9,12,17,12,10,4,21,7,12,20,11,9,7,9,16,10,14,17,13,11,13,9,7,14,12,9,9,15,8,12,16,12,15,9,13,11,10,9,9,3,4,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,2,0,1,0,2,0,6,2,0,1,2,0,0,4,1,1,0,1,1,0,3,4,3,2,3,6,5,4,6,9,7,6,4,12,10,9,9,5,9,9,11,9,14,13,15,11,13,16,9,5,6,12,8,14,10,11,8,7,9,11,13,14,10,11
10,8,20,18,11,16,11,6,7,9,7,6,12,9,10,16,14,14,8,11,15,5,12,6,16,14,13,10,9,13,7,9,7,9,9,12,12,17,5,11,11,11,12,9,7,10,14,16,21,8,13,10,14,11,7,12,9,18,10,8,11,9,9,9,10,8,11,12,11,17,15,9,10,7,13,10,11,11,16,7,11,7,8,9,13,6,16,19,14,12,11,9,16,14,12,14,6,10,11,6,12,18,14,7,12,12,16,17,21,13,9,14,9,7,20,14,17,8,12,19,10,8,13,12,11,15,11,10,13,17,21,11,13,14,11,10,11,7,8,14,11,9,13,15,11,21,12,16,9,11,9,6,3,8,4,2,2,0,0,2,0,0,0,0,1,2,3,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,2,0,1,1,0,0,0,1,0,0,0,0,0,2,0,1,0,1,1,4,0,2,2,0,3,0,1,1,2,6,1,3,3,1,3,6,7,0,0,3,10,6,9,10,10,10,13,8,7,9,7,6,12,14,11,7,8,8,16,8,12,7,14,14,10,5,12,11,3,10,10,7
12,17,8,6,11,13,8,11,7,11,9,7,13,14,24,14,11,12,8,18,16,10,18,13,8,8,13,11,9,16,8,7,8,14,6,14,3,13,13,18,12,12,11,14,9,12,12,8,12,12,5,12,13,12,16,13,8,9,10,14,10,10,9,11,8,11,13,8,16,5,16,20,11,11,13,9,12,10,12,11,9,9,16,11,16,9,14,16,12,8,10,12,7,12,6,10,12,16,11,13,11,13,12,10,18,7,12,14,14,10,6,15,7,9,8,18,8,12,9,6,11,14,15,13,11,12,15,11,12,10,12,13,17,15,6,8,15,12,13,18,13,13,22,11,8,11,13,9,8,7,13,15,4,10,8,3,4,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,0,1,1,1,0,1,1,0,2,1,4,4,1,0,3,1,5,4,3,1,3,4,11,3,8,7,12,9,7,4,9,8,7,7,5,7,8,8,11,16,10,9,9,15,8,8,8,5,10,7,12,4,18,11,7,7,11
21,9,17,20,13,8,10,12,16,8,14,8,13,13,11,11,13,13,10,14,12,19,13,8,8,13,9,12,9,8,16,8,11,11,8,13,11,7,11,12,12,19,11,9,12,15,15,5,12,11,8,11,17,13,15,13,9,6,9,10,15,16,11,8,11,12,14,12,15,10,17,9,11,8,3,10,11,5,18,7,8,12,15,10,8,10,12,19,17,17,8,9,7,7,15,18,12,11,17,13,14,16,12,11,8,14,13,10,7,13,12,13,14,4,11,14,14,13,15,9,12,9,10,11,18,10,12,10,9,19,17,14,18,12,8,19,10,7,9,6,9,12,7,19,20,16,14,12,17,6,8,8,9,5,5,2,2,2,1,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,2,1,1,0,0,0,2,0,0,1,2,2,0,3,2,1,2,3,5,2,4,4,7,2,6,6,6,10,9,5,13,8,12,15,14,9,11,12,10,13,14,21,19,12,12,10,9,8,10,11,11,12,10,11,12,7,16
14,11,10,13,14,22,6,9,12,7,12,10,11,8,10,12,16,8,10,8,12,8,9,16,11,11,10,16,13,16,11,9,9,14,12,11,10,9,11,10,8,22,8,16,8,7,13,19,11,11,14,11,13,15,7,5,12,11,19,7,12,11,10,16,15,9,12,10,8,14,10,11,14,9,7,11,17,6,9,6,12,9,16,10,17,15,15,10,12,21,14,8,9,9,8,9,18,8,13,7,16,11,9,11,10,9,7,11,13,14,12,16,9,13,17,8,14,10,4,10,9,13,13,15,11,9,10,12,9,14,13,11,11,14,10,10,15,10,12,13,9,14,15,8,10,15,17,9,8,8,15,7,9,4,2,4,3,2,1,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,1,0,0,0,0,2,0,0,0,0,0,1,1,1,1,2,0,2,1,4,7,0,6,2,8,3,5,7,8,11,7,11,6,10,10,13,10,9,10,7,5,9,14,18,13,12,21,15,20,18,15,8,12,11,9,9,9,18,4
13,14,7,10,10,14,13,7,5,10,10,14,12,14,12,13,18,14,13,7,9,12,12,15,10,13,12,8,18,16,9,13,14,10,11,12,12,13,16,5,7,8,16,11,5,19,10,15,9,8,13,18,6,15,13,12,8,14,7,13,14,12,19,10,15,16,13,8,10,13,9,7,9,6,11,9,11,12,10,13,12,14,11,9,11,14,6,14,8,18,12,10,14,12,14,10,7,7,10,14,11,10,17,10,17,6,15,14,12,10,11,16,13,12,17,13,15,10,12,11,5,12,7,10,15,18,11,15,13,11,10,15,10,11,11,9,15,13,8,16,12,11,12,7,11,6,12,12,14,11,9,10,11,4,3,4,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,2,0,1,1,1,2,0,2,2,3,2,1,5,3,2,2,5,8,8,6,10,8,19,5,7,6,8,17,8,8,12,10,6,10,9,11,9,17,17,12,6,17,11,15,14,12,12,7,11,6,11,9
7,10,8,8,13,11,21,9,11,10,6,14,11,12,17,13,12,9,11,7,13,6,7,13,14,4,16,8,13,12,12,6,13,12,12,15,11,14,11,12,13,11,11,9,17,16,13,8,9,13,15,10,12,7,9,13,11,12,12,15,14,16,10,17,8,18,5,12,10,15,17,13,2,24,11,13,7,8,13,12,9,10,10,10,17,11,10,10,12,5,11,17,10,16,14,8,14,15,8,12,10,11,16,13,8,14,7,16,17,9,14,11,14,10,9,11,10,11,14,17,7,15,19,16,6,10,10,11,10,16,10,13,16,12,12,14,18,8,10,8,18,11,11,8,12,10,10,9,17,14,15,8,10,2,9,5,5,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,0,0,1,1,0,1,0,0,1,0,0,0,2,2,0,0,1,0,2,0,3,2,1,2,2,0,1,1,4,1,1,2,6,6,4,5,4,6,12,11,5,14,11,9,8,14,13,8,13,12,14,11,11,8,12,11,12,11,4,11,9,11,12,12,6,14,10,6,11
7,12,10,12,9,8,15,12,13,9,10,8,13,15,10,6,11,12,14,10,9,12,14,11,15,12,5,15,5,8,7,11,12,12,8,14,12,7,7,7,7,8,12,10,11,13,15,9,9,13,5,10,19,12,9,10,19,14,12,9,13,13,10,16,14,11,9,12,13,12,8,15,10,4,4,12,6,12,8,17,14,13,14,10,15,13,9,10,20,8,12,12,14,9,8,13,9,5,16,10,12,13,9,11,19,7,10,16,16,10,6,7,13,6,13,16,9,8,11,7,7,8,13,14,6,15,12,11,15,15,15,18,7,11,6,11,12,17,16,9,15,9,14,9,16,13,14,8,12,18,12,4,10,8,8,6,3,2,2,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,2,0,2,0,0,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,2,0,0,0,1,0,1,1,0,0,1,1,0,1,0,2,3,3,4,5,2,1,3,4,6,7,7,3,8,13,6,7,8,10,8,5,14,17,6,11,13,15,12,18,8,10,14,17,15,11,11,15,8,11,15,14,6
8,13,10,9,14,9,14,6,14,12,13,12,16,3,10,7,13,13,5,4,10,9,10,7,10,10,5,10,20,10,13,9,8,8,11,13,8,14,8,9,10,9,12,16,6,9,10,12,11,12,13,21,10,18,7,14,8,19,13,12,11,10,14,10,19,10,8,7,11,10,13,7,10,8,12,10,8,7,8,13,11,11,11,12,7,16,11,14,11,13,13,6,4,16,13,12,10,13,14,11,15,13,12,9,12,9,12,11,9,15,16,22,5,15,13,12,14,6,9,12,8,8,4,6,13,11,10,8,16,11,13,14,10,13,12,14,12,12,11,8,13,13,17,8,9,10,10,14,18,12,16,12,14,9,4,9,7,3,7,1,0,0,0,0,0,1,1,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,1,1,1,0,1,2,1,0,0,0,1,1,1,1,0,0,2,2,4,1,1,3,3,3,6,5,3,6,3,6,5,4,2,6,8,9,7,9,9,8,9,5,18,14,9,5,13,8,16,16,9,7,12,11,14,17,17,8,8,6,14,7,14
14,5,6,5,9,22,16,18,17,5,16,15,9,11,10,7,11,14,9,9,11,9,9,14,12,13,11,11,11,16,7,11,12,14,9,14,9,10,16,11,10,11,15,11,8,8,14,16,15,8,14,9,5,6,14,12,8,12,8,13,9,8,9,7,11,12,9,17,13,6,7,12,12,11,15,9,10,13,12,10,19,8,11,11,10,11,4,14,11,13,19,10,17,8,6,16,8,13,15,9,9,9,10,11,9,9,12,23,13,15,13,17,14,13,16,10,15,18,17,8,18,14,15,13,14,8,9,13,8,6,10,6,14,11,13,11,14,6,17,17,14,14,7,13,15,14,11,7,11,8,11,18,17,16,9,9,2,2,1,2,0,2,0,0,1,0,0,2,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,0,3,2,0,0,2,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,1,4,3,1,1,3,5,3,4,2,0,2,6,4,1,8,4,12,15,10,7,5,13,10,10,12,9,5,10,11,11,9,9,9,13,12,13,11,10,12,12,13,9,6,17,8
13,10,10,8,5,7,12,12,11,11,8,7,12,15,10,5,15,14,10,10,15,12,13,14,16,11,13,18,14,11,12,4,7,17,9,10,9,9,9,8,12,6,18,12,10,17,14,15,9,16,10,5,9,12,9,13,7,9,10,11,12,11,11,10,14,13,12,9,8,14,5,10,8,13,11,5,10,19,4,10,10,13,12,9,8,18,8,7,9,6,12,12,5,12,7,8,11,16,11,5,7,14,11,21,14,8,13,13,8,20,14,16,11,8,14,7,18,11,12,12,16,13,10,13,9,10,14,13,18,11,14,15,10,14,14,12,13,11,8,4,7,16,18,7,15,5,9,11,19,15,9,15,14,6,16,12,10,3,5,4,1,0,0,1,0,1,0,1,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,3,0,2,0,0,0,0,5,1,0,5,2,1,2,3,4,5,3,6,3,5,6,8,12,18,9,7,11,9,11,11,8,8,11,11,14,16,12,9,10,10,6,10,8,7,9,9,15,7,19,12
13,12,9,11,9,13,10,15,16,12,18,8,11,7,11,7,10,14,10,21,11,12,6,16,9,8,15,11,7,15,11,9,15,13,13,9,14,14,14,11,13,12,6,10,9,17,8,13,17,13,9,14,15,20,13,14,17,6,8,9,11,8,11,10,6,12,11,7,22,12,14,15,15,19,8,18,14,12,17,12,10,16,11,13,12,17,11,9,12,9,12,13,6,11,10,7,11,6,13,11,9,13,7,15,15,13,20,6,11,13,14,7,11,9,20,9,14,9,14,13,9,9,16,14,13,17,11,11,9,9,20,11,10,16,9,11,15,13,8,13,12,12,12,19,12,12,13,9,10,9,19,13,10,16,9,13,7,11,6,3,3,2,1,0,2,1,1,1,0,1,2,0,0,2,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0,0,0,2,0,0,2,1,0,1,0,0,3,0,2,1,2,4,1,2,2,1,0,0,2,4,8,4,1,8,6,4,5,5,13,13,12,10,12,5,11,6,10,10,13,19,15,11,12,12,15,9,11,18,6,15,13,8
13,10,8,16,12,13,11,17,14,9,10,8,12,9,17,14,14,9,12,10,9,12,7,13,12,10,8,12,16,10,21,12,17,9,14,16,18,18,9,17,12,15,11,5,9,11,14,17,13,13,13,11,13,12,12,7,11,8,10,22,8,19,10,10,8,13,11,14,11,7,9,8,11,16,7,10,13,11,11,11,9,17,13,8,7,12,16,8,5,9,12,12,9,11,6,14,14,14,8,18,10,14,8,13,6,9,7,12,17,15,13,16,14,11,9,15,12,12,17,11,15,17,8,16,10,10,13,9,10,8,24,14,18,13,11,8,22,10,13,11,16,9,11,13,8,10,14,12,13,11,16,11,7,15,13,15,12,7,4,4,1,0,2,1,1,1,1,1,1,3,1,0,2,2,0,0,0,0,0,2,0,2,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,1,0,2,1,0,0,2,1,1,0,2,2,5,3,2,2,2,4,2,4,5,2,9,4,3,7,8,10,3,6,6,7,10,9,13,5,5,9,5,16,13,16,10,9,10,11,6,7,12,10,10,6,9,14
12,7,8,13,14,14,9,9,15,13,12,10,16,20,9,11,5,15,11,14,15,10,10,5,8,11,10,19,12,11,13,15,7,20,13,9,5,10,12,12,15,7,4,8,13,11,10,14,9,7,10,11,6,12,7,7,14,13,9,9,13,9,12,9,7,12,8,12,6,17,8,6,11,9,13,11,10,9,14,7,14,7,9,16,10,14,8,15,14,9,10,14,13,12,18,11,10,15,11,10,14,15,10,10,7,15,12,11,11,14,20,6,18,12,13,18,8,8,15,15,10,7,9,12,6,6,12,16,13,9,12,8,12,12,12,17,10,8,17,17,11,13,17,9,13,16,14,16,10,10,14,18,17,10,10,15,7,8,9,3,3,0,3,1,3,1,2,2,1,2,1,0,0,4,4,6,1,2,1,0,0,1,0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,0,0,2,2,2,0,1,5,4,0,4,2,3,5,4,2,5,5,9,5,5,8,8,7,8,13,5,10,6,9,13,14,8,6,13,14,9,10,9,9,10,6,5,15,15
8,8,15,11,19,18,9,12,8,10,7,11,4,8,12,6,11,18,10,12,11,16,17,12,9,13,18,10,16,11,8,6,20,8,8,15,11,12,12,12,12,15,12,11,9,8,13,13,13,19,10,5,8,12,10,16,9,16,13,18,13,12,9,9,14,7,10,9,6,8,12,10,10,11,7,8,13,11,13,6,5,9,8,7,8,10,13,18,9,18,11,12,8,6,10,8,11,17,16,13,12,12,19,9,10,12,16,17,17,10,15,12,12,12,24,9,14,9,18,13,15,11,14,7,13,11,16,8,14,17,10,14,20,13,8,11,13,12,9,9,8,12,10,10,14,12,11,15,11,15,10,12,16,12,14,11,8,7,7,6,3,0,3,0,5,2,2,1,2,4,3,1,3,3,7,3,3,1,2,2,2,1,0,1,1,1,0,2,0,0,1,1,1,0,0,0,0,0,0,0,0,3,2,0,0,0,1,0,2,0,2,0,1,1,2,1,0,0,2,2,2,4,3,4,3,4,7,5,7,3,7,8,6,6,8,12,10,12,11,11,8,9,7,8,13,14,7,9,18,11,10,19,12,11,9,14
13,8,10,13,15,16,13,16,5,16,14,15,9,11,16,11,15,11,14,11,16,17,16,8,15,11,8,11,15,2,10,13,19,15,11,15,16,13,14,9,12,11,14,13,12,8,11,10,11,13,8,11,13,18,7,14,11,16,9,17,10,11,12,14,5,10,10,5,13,8,14,8,14,11,18,9,10,16,6,10,6,9,13,5,9,13,8,10,12,14,13,13,15,20,10,13,9,14,12,16,11,14,18,7,14,18,13,11,10,12,4,15,19,17,16,10,16,16,16,10,8,17,6,7,13,17,8,13,18,11,9,5,15,10,15,7,10,13,11,8,11,12,11,19,12,9,9,9,18,15,14,8,9,9,9,16,11,9,7,4,5,6,5,6,5,4,2,1,4,5,4,1,4,1,4,1,1,5,4,5,3,1,1,3,1,1,1,0,1,0,1,5,1,1,2,0,2,0,0,0,0,0,1,2,0,0,0,1,0,0,2,0,2,0,0,1,0,0,3,1,5,4,5,4,4,5,6,6,7,8,7,11,8,11,5,15,3,12,7,8,11,11,3,9,13,8,13,9,9,10,14,8,16,8,8,9
13,16,7,13,11,12,14,17,11,12,15,10,16,13,7,8,14,14,16,9,10,15,15,11,10,12,12,17,16,14,14,10,8,10,9,13,16,11,10,16,11,7,12,4,20,8,10,11,16,11,9,10,13,9,9,13,12,9,7,11,18,7,7,13,11,8,10,19,13,9,3,13,13,13,9,9,10,10,18,11,7,5,12,10,14,7,7,9,10,7,10,15,8,16,18,11,11,19,13,12,7,14,13,6,12,16,8,10,11,4,12,8,23,13,12,12,6,13,7,13,19,11,10,12,21,10,13,7,12,16,10,22,10,19,8,7,15,6,11,14,8,9,12,10,16,17,12,16,12,8,10,11,10,13,17,12,7,6,6,4,3,1,2,6,6,7,8,4,3,3,4,2,3,4,3,4,4,4,1,4,1,2,3,2,1,3,2,4,3,1,1,1,1,3,0,2,1,1,1,3,2,2,2,1,1,0,0,0,1,1,0,0,0,2,1,0,1,1,0,2,1,4,2,2,5,6,5,6,7,9,8,12,8,12,3,8,5,8,6,11,7,9,7,12,8,7,13,5,13,15,16,9,16,14,13,17
16,13,14,10,11,8,13,11,10,11,8,11,10,13,15,16,10,6,13,12,15,18,16,12,13,11,12,12,16,16,10,15,6,14,14,7,10,12,15,13,12,15,15,19,14,17,10,13,10,15,7,13,9,11,9,12,14,8,16,7,10,13,10,15,17,10,18,11,12,9,8,14,16,8,12,6,10,12,8,13,5,9,16,12,11,17,13,12,9,14,7,11,11,16,10,7,14,11,13,9,11,13,8,13,12,7,12,20,8,18,15,11,12,11,14,12,16,13,18,8,8,12,16,11,9,9,16,7,17,16,12,10,14,13,11,9,16,13,7,9,13,14,6,18,11,13,11,12,12,7,11,13,16,4,12,20,13,12,6,6,9,5,1,4,2,4,6,6,5,3,6,6,3,4,4,3,2,7,3,4,2,6,3,3,3,5,4,2,1,4,4,3,3,1,4,1,4,6,4,0,1,0,2,1,0,4,1,0,0,0,1,4,3,1,2,0,2,1,2,2,1,4,4,1,5,4,4,5,3,11,13,5,12,8,11,7,11,12,7,13,12,9,15,14,5,11,14,10,15,14,9,14,14,19,4,20
3,8,10,9,4,10,10,11,10,16,15,16,16,15,15,18,8,12,11,8,11,11,20,8,15,11,11,8,12,7,10,11,8,12,9,16,12,14,11,7,16,17,6,12,17,6,18,16,13,7,7,15,12,11,14,17,10,9,12,11,13,10,14,10,17,14,7,9,9,8,10,8,7,19,10,6,15,4,9,16,8,6,12,12,8,10,16,10,10,9,12,12,12,10,6,15,12,9,13,16,9,12,15,16,10,21,10,13,12,11,13,10,14,13,12,18,10,6,11,10,10,17,13,13,10,17,10,15,14,13,15,12,10,7,11,11,11,12,8,11,10,13,7,10,14,13,9,15,6,17,9,10,9,6,12,6,11,5,7,3,8,2,2,4,4,1,9,8,8,5,5,10,4,6,6,3,6,4,8,4,8,4,3,1,2,5,3,8,9,6,6,0,7,4,2,3,2,3,5,0,1,5,4,2,1,3,3,2,0,0,1,3,1,1,3,1,0,2,1,2,0,1,0,3,4,4,6,2,6,5,5,5,8,12,10,11,10,7,7,11,3,10,14,7,11,12,7,11,10,14,11,12,11,16,8,9
14,14,12,18,15,11,10,5,14,16,12,9,10,16,8,9,7,7,10,14,8,9,10,11,16,14,16,14,18,11,7,12,7,8,10,8,10,13,14,12,16,10,10,11,11,11,12,14,10,12,12,11,13,16,20,9,9,6,11,7,8,14,14,18,11,11,9,11,13,9,9,20,4,15,13,9,9,11,9,10,7,11,3,10,8,22,12,8,7,11,15,7,11,15,11,12,8,12,14,16,10,14,8,10,12,6,8,22,11,9,9,16,14,14,7,13,9,15,10,17,10,7,13,4,8,12,9,12,15,16,11,8,17,13,11,10,7,18,17,9,12,8,6,21,10,8,12,10,11,8,8,11,9,7,8,11,9,8,11,3,4,5,5,5,9,6,6,13,4,1,7,14,9,5,1,8,4,8,9,3,5,6,3,3,6,3,1,6,7,7,1,6,5,3,6,3,4,4,1,8,4,9,4,2,5,3,5,4,2,2,1,2,1,3,1,2,5,2,0,1,2,1,0,0,2,1,5,4,4,5,3,8,9,12,6,7,12,5,9,16,11,8,12,10,4,11,11,12,6,13,5,11,8,12,12,7
19,6,10,18,20,8,7,17,7,11,10,16,7,12,10,11,12,12,11,12,13,10,17,7,7,14,17,11,9,17,6,11,11,7,12,11,5,10,14,11,14,12,15,16,11,12,10,9,15,12,14,10,14,14,15,6,15,11,12,8,12,12,5,13,14,10,16,11,15,13,11,6,10,4,10,8,9,8,19,14,16,5,11,10,8,8,16,12,10,13,14,10,9,10,14,12,13,11,8,9,15,12,8,13,16,12,11,14,10,12,15,18,10,13,10,16,14,12,11,15,11,11,16,14,13,8,14,13,12,15,8,9,13,13,12,13,19,21,13,16,17,12,18,5,11,7,14,14,9,9,7,7,12,12,13,8,17,8,8,7,7,4,9,8,10,4,6,9,8,3,4,5,2,14,7,4,9,4,5,3,4,6,10,9,6,5,4,5,5,8,7,4,4,8,2,7,3,6,3,5,8,4,7,5,5,4,2,3,7,1,2,3,1,3,5,3,0,3,1,1,2,4,2,4,3,2,3,1,8,1,8,9,6,9,11,13,15,6,8,13,6,15,10,7,8,11,14,10,13,8,9,8,13,13,11,9
6,15,12,15,12,11,6,11,8,10,13,12,9,7,14,10,8,11,11,12,9,7,7,8,7,10,11,9,17,10,7,12,10,14,11,16,12,7,13,11,7,13,10,12,13,17,10,14,9,9,11,11,7,16,15,15,12,8,17,5,12,16,17,5,15,7,16,15,10,10,9,17,12,15,8,13,13,12,4,12,12,10,9,9,13,9,18,9,14,12,18,9,12,12,8,11,14,17,5,13,9,12,13,11,13,15,13,14,11,15,6,13,16,11,14,14,11,9,10,13,11,17,13,13,12,12,11,12,11,7,13,13,9,18,11,17,10,8,14,14,14,8,22,16,17,12,15,17,12,20,12,8,4,9,14,9,11,10,1,5,4,2,7,3,1,9,6,3,12,10,4,7,6,9,7,10,8,1,7,6,9,3,7,4,9,5,6,6,6,6,2,5,5,3,4,4,5,4,6,6,8,3,3,11,3,10,8,2,3,4,6,4,3,4,8,1,4,3,2,6,1,9,4,6,3,3,1,2,4,1,4,11,10,5,9,11,11,4,10,8,12,11,12,9,13,6,15,11,6,14,7,10,7,13,15,14
11,14,13,8,16,9,17,12,15,8,13,10,8,4,16,10,14,9,10,10,12,10,9,4,13,14,12,14,15,13,15,17,7,14,7,14,11,8,10,10,9,10,8,11,7,11,8,13,13,12,8,13,12,12,11,10,11,8,6,10,13,8,6,13,14,17,11,9,8,16,8,7,6,8,7,18,5,8,14,11,14,11,15,10,5,9,16,12,13,13,7,7,9,9,13,17,11,14,6,13,9,11,10,16,17,14,12,14,11,11,17,7,14,14,11,14,11,12,13,8,8,6,10,10,6,13,26,15,12,14,14,8,12,8,13,10,11,15,10,19,17,13,10,5,10,11,12,6,14,11,15,15,15,16,8,12,9,7,6,8,8,7,5,12,14,12,6,6,10,8,4,11,5,5,11,4,7,5,8,7,6,5,5,4,8,7,5,2,8,4,7,11,10,5,6,2,2,6,2,8,5,3,6,2,3,4,9,10,4,8,5,5,4,8,4,6,4,4,2,6,7,4,7,3,2,6,1,5,3,4,6,5,6,10,12,11,9,9,10,14,9,9,8,11,7,13,10,6,7,15,10,5,13,12,14,11
8,7,8,7,14,9,9,13,8,11,8,7,14,12,11,15,10,18,17,8,16,6,18,11,13,10,6,13,18,11,9,15,10,10,15,12,11,16,8,20,7,13,9,10,11,7,10,6,13,12,13,7,15,16,15,6,11,8,10,11,9,16,12,13,9,11,11,11,11,14,11,6,4,9,7,12,13,12,15,10,11,11,7,9,13,9,16,6,11,13,20,6,14,8,13,14,17,13,13,7,13,10,14,11,10,10,8,7,16,12,18,16,15,11,17,14,10,16,12,9,22,10,13,19,11,6,14,11,7,20,12,13,16,13,11,11,13,21,12,13,14,12,8,17,14,11,11,10,9,19,14,14,13,7,14,8,9,8,14,8,6,8,5,3,4,8,5,6,12,7,10,11,7,7,7,3,7,9,7,10,6,5,6,7,5,2,8,5,13,6,6,13,4,10,5,2,10,3,12,6,5,9,9,4,10,8,2,6,5,5,13,7,8,13,4,2,5,5,5,9,2,4,3,6,10,8,6,7,8,8,5,8,8,10,12,10,13,9,10,12,6,12,17,11,13,6,11,9,11,11,15,16,8,11,15,12
10,11,11,12,15,8,16,7,8,8,5,8,11,7,17,10,15,5,8,8,10,12,11,14,10,14,10,10,12,6,15,11,11,6,6,9,11,7,9,7,7,14,12,15,7,16,9,9,10,11,12,13,9,18,13,10,7,9,13,14,17,11,11,7,13,11,6,12,12,12,10,6,14,13,7,12,9,9,16,14,10,9,11,12,13,4,14,14,15,13,16,11,8,8,12,8,9,14,13,14,13,11,7,13,19,18,16,9,10,15,15,10,10,17,10,16,9,12,16,12,13,16,7,11,12,9,10,11,17,10,10,12,15,8,13,14,13,9,14,11,12,11,12,13,12,12,15,11,12,13,10,5,9,12,13,12,16,4,6,3,7,7,9,4,13,4,13,6,7,8,6,6,7,7,2,6,6,6,6,11,7,6,12,6,8,9,6,9,5,10,6,12,5,7,5,2,6,2,3,3,5,10,3,6,4,8,8,9,5,9,7,9,5,9,8,5,6,5,7,8,7,11,6,5,6,1,6,2,10,4,6,5,8,7,5,13,11,11,13,11,15,10,10,12,8,9,13,8,12,13,10,11,18,5,7,13
6,9,7,6,11,8,11,12,13,18,11,13,10,9,11,9,11,9,9,16,15,17,7,10,8,14,13,19,8,8,15,8,15,14,11,10,6,14,9,16,12,9,8,15,15,11,11,7,8,11,6,14,7,13,12,13,11,11,10,9,14,14,11,10,12,7,12,6,12,10,8,9,13,10,10,11,11,13,9,16,9,13,9,14,16,3,13,20,7,9,12,10,12,14,8,13,17,13,10,9,9,17,15,14,15,13,10,6,7,10,11,14,13,10,9,10,16,13,14,14,9,12,19,11,13,9,12,12,16,5,17,15,13,9,10,7,10,15,10,14,7,13,16,11,6,9,9,12,13,12,12,11,9,15,12,10,10,5,2,2,8,7,5,9,4,8,5,10,8,10,7,9,11,3,6,5,6,6,11,9,14,6,5,11,6,14,11,10,4,12,8,5,6,9,4,4,3,7,3,5,8,7,13,7,5,2,3,9,5,6,8,11,5,10,4,7,7,8,9,6,10,6,7,12,6,11,9,2,13,7,10,8,7,11,11,7,6,6,6,10,13,17,10,11,10,14,11,5,17,9,5,8,15,9,15,13
9,12,14,9,12,5,10,11,11,10,12,11,10,11,9,13,9,9,10,11,15,5,17,10,14,10,10,12,6,14,10,6,14,5,16,11,12,12,7,7,16,11,7,10,10,9,9,15,10,10,5,9,15,7,11,14,11,12,10,14,5,21,8,7,8,9,18,8,6,5,11,7,11,8,11,11,13,10,9,6,14,7,9,9,10,13,8,12,13,16,10,11,7,12,12,11,10,7,8,14,14,11,8,6,8,9,9,13,15,8,22,11,9,9,23,15,15,17,12,18,12,8,10,13,13,12,7,7,13,15,11,12,10,11,14,12,13,14,13,16,18,13,16,11,13,12,16,11,13,20,10,11,6,12,18,10,11,3,10,15,5,6,8,3,7,6,9,9,8,7,11,7,12,7,2,9,6,10,7,9,1,5,9,10,6,5,7,6,3,11,9,7,7,3,5,6,2,5,14,10,11,6,4,3,10,5,5,4,9,11,7,3,6,11,10,9,6,4,9,7,8,7,8,8,10,9,11,10,5,18,7,6,8,12,8,10,11,15,7,3,9,5,7,11,11,12,12,6,12,8,10,7,11,13,10,6
11,10,2,10,12,9,9,13,11,15,11,20,6,15,13,13,6,9,9,14,15,16,18,10,11,17,17,6,11,13,15,14,12,9,8,12,9,18,14,16,13,9,7,9,10,11,18,13,12,17,16,8,10,13,8,14,16,10,11,11,8,9,9,12,9,8,4,6,8,13,7,11,14,6,12,10,10,9,11,9,6,10,14,8,6,11,12,6,15,15,15,7,11,9,16,18,14,13,18,6,6,6,7,7,8,14,10,14,11,17,10,11,3,10,14,9,12,15,12,8,13,16,6,11,12,14,7,8,12,6,11,13,16,8,18,16,13,12,6,14,15,12,9,14,12,11,10,16,11,18,10,15,10,6,21,13,9,7,4,7,9,13,10,10,3,5,7,5,15,5,10,5,12,9,9,8,9,8,9,8,9,4,7,3,8,15,5,10,11,8,10,7,9,5,10,5,6,12,9,4,6,6,4,4,5,6,9,7,6,6,9,10,5,3,7,8,9,11,9,5,9,5,6,4,9,7,9,8,12,7,11,8,6,7,4,10,7,5,10,6,11,7,8,7,8,14,8,17,9,13,8,17,11,15,10,11
9,10,14,13,7,9,11,8,13,13,12,11,10,9,13,18,11,11,12,11,14,13,11,18,7,9,13,13,16,17,13,15,13,11,9,16,7,12,10,11,12,10,5,11,9,12,15,12,18,12,16,9,13,16,5,15,6,8,16,8,10,9,13,12,11,9,12,8,6,8,8,7,8,10,7,12,10,7,10,9,11,5,15,20,10,9,9,13,9,15,10,14,11,8,6,9,14,9,9,8,8,11,11,11,8,16,4,16,6,7,11,9,9,12,8,6,11,10,13,14,10,6,14,15,14,18,8,16,17,9,12,11,11,8,15,15,8,14,15,10,16,15,12,12,13,14,10,15,10,13,3,16,12,14,8,5,8,3,10,10,6,2,9,10,6,3,3,7,13,6,12,13,8,5,14,7,10,8,7,9,4,9,9,9,10,9,11,12,4,9,9,7,4,8,13,10,8,6,8,9,6,7,7,2,8,10,8,6,6,6,5,0,13,6,9,6,4,6,7,8,4,17,14,7,6,9,8,13,9,11,10,6,7,10,15,8,14,11,6,10,11,12,8,10,10,14,12,15,11,13,12,15,8,9,7,10
6,6,9,12,8,9,15,10,11,6,15,16,9,8,12,7,12,18,15,11,19,6,10,15,6,17,16,8,13,8,8,17,7,10,7,17,11,16,16,14,16,9,9,12,12,8,7,8,7,7,14,12,7,10,12,8,8,11,8,17,15,7,16,13,15,10,11,10,8,6,8,17,8,7,9,11,16,9,14,13,18,13,13,14,12,9,11,14,5,11,12,12,10,13,15,10,6,9,7,6,11,10,9,10,14,18,11,9,12,8,11,6,17,11,8,12,10,9,11,13,12,17,13,10,16,6,16,15,9,8,8,13,14,9,6,10,11,11,12,13,12,17,16,8,20,11,11,12,16,8,9,12,14,16,6,11,10,5,5,5,8,5,6,4,7,7,7,5,5,7,7,7,5,7,11,12,5,6,2,6,5,4,5,13,5,14,9,6,5,4,5,8,6,8,13,7,9,13,5,3,9,11,8,12,8,10,8,7,4,4,4,8,8,7,10,4,13,7,6,8,3,9,6,15,12,11,11,14,2,6,11,9,10,12,11,5,11,17,6,10,7,10,15,14,14,8,7,9,12,8,11,11,11,11,17,9
13,7,9,9,15,15,7,8,19,17,16,10,18,10,14,15,15,19,9,11,10,9,14,11,17,6,7,9,9,16,8,14,10,14,13,11,10,15,13,19,11,13,7,10,9,13,6,11,8,14,14,8,11,14,19,9,12,13,11,12,12,9,6,10,13,11,16,10,10,10,13,12,6,11,12,11,12,7,10,13,14,2,8,9,14,13,13,17,15,12,9,6,7,14,14,11,9,11,12,9,13,13,13,7,8,7,8,12,11,14,9,12,12,10,10,15,9,14,8,15,13,11,11,13,13,10,15,10,14,15,9,10,7,9,11,9,15,10,13,16,8,19,11,9,12,13,14,10,11,14,9,11,13,15,14,6,7,3,5,12,8,8,9,5,7,3,6,7,2,6,8,4,7,2,6,7,6,5,4,3,11,5,7,11,11,9,5,7,9,6,6,12,19,3,5,11,6,4,8,6,4,9,8,14,11,7,10,8,4,7,8,8,11,10,5,5,5,4,7,3,9,10,8,10,15,8,9,7,19,5,11,15,4,5,6,22,9,14,10,5,7,14,15,11,10,16,16,10,11,16,13,11,10,14,6,4
11,6,9,12,12,8,10,11,5,8,12,12,7,14,20,16,10,16,16,11,13,9,17,10,10,13,11,11,5,9,12,14,4,10,6,16,9,12,12,11,16,11,7,14,10,6,11,11,5,12,11,10,13,8,16,16,13,11,6,16,7,11,9,12,10,10,14,8,9,12,10,9,7,11,9,10,14,9,8,13,9,5,16,6,9,12,9,11,11,12,20,19,6,11,5,8,14,13,13,6,8,10,12,10,17,7,11,9,9,13,11,13,10,13,13,12,13,13,13,13,18,16,15,12,11,13,7,18,8,12,10,9,16,11,16,7,16,10,16,14,7,13,12,14,9,8,14,12,14,11,12,12,17,11,11,12,11,4,7,7,5,10,8,7,7,9,7,8,11,12,10,10,12,4,5,5,13,11,7,2,9,5,7,7,5,6,10,7,10,11,11,7,6,7,8,10,6,5,7,11,10,5,8,11,5,11,4,10,8,13,9,11,8,5,4,13,5,7,7,6,10,11,7,9,9,8,8,7,11,6,9,11,14,15,5,9,9,12,12,9,5,17,13,8,19,12,11,12,11,7,13,17,8,10,10,9
8,9,12,8,11,9,10,14,11,9,10,16,15,10,15,12,12,15,19,10,11,10,12,15,9,9,21,8,8,12,13,9,12,7,9,24,17,12,15,16,14,12,11,12,19,9,19,12,8,11,7,14,14,12,6,11,14,9,12,11,6,15,15,11,16,15,12,16,11,14,9,9,19,14,15,11,15,12,7,20,7,11,12,14,12,17,11,11,6,7,15,7,12,12,15,13,10,11,11,12,11,14,15,10,5,17,7,12,11,9,13,15,9,15,13,12,10,10,12,11,7,14,13,16,11,6,14,13,12,13,13,17,13,10,13,20,15,10,8,6,16,10,16,12,22,12,15,18,9,13,11,11,16,19,10,12,14,12,13,10,16,6,5,7,9,7,5,7,6,5,8,11,8,6,7,9,9,11,9,5,9,11,4,5,6,11,9,10,9,7,11,7,11,8,10,7,7,9,1,8,5,8,12,10,14,10,7,9,7,10,3,10,14,10,11,8,13,11,8,4,8,9,6,8,10,9,15,8,12,9,10,9,20,11,6,8,11,14,9,21,12,12,7,14,10,16,14,16,14,14,11,7,8,15,11,16
15,10,10,4,14,12,9,10,10,13,8,17,9,14,10,14,9,10,7,13,13,8,10,5,11,10,10,17,12,7,6,10,10,9,16,14,8,8,16,19,14,15,10,7,9,12,15,10,11,12,9,14,18,16,7,5,11,17,13,19,19,11,12,9,20,13,17,10,11,13,15,13,11,3,13,8,11,18,9,17,13,5,12,13,18,12,9,14,11,13,11,7,11,7,15,15,8,10,10,13,15,7,7,15,12,11,10,9,6,12,9,14,9,12,14,13,14,4,10,13,12,10,13,11,9,13,8,14,15,11,13,18,11,22,16,14,12,10,14,11,14,14,4,10,12,11,12,11,14,9,19,8,7,11,13,7,6,6,14,8,12,6,6,6,8,8,9,4,8,6,3,5,6,7,9,9,9,10,4,11,6,7,3,5,12,13,8,6,4,5,9,6,5,9,4,8,8,11,6,6,4,5,9,11,13,11,12,7,9,11,6,6,6,10,10,16,8,10,9,9,12,9,6,16,9,12,6,14,12,5,14,12,10,10,10,12,12,12,7,10,8,6,10,5,11,9,16,15,13,11,12,15,16,15,11,16
17,10,15,11,10,15,13,15,10,15,14,10,9,8,9,8,8,10,18,10,15,11,8,8,15,11,10,14,7,14,8,9,13,12,19,6,7,14,14,11,8,13,9,9,13,8,9,14,12,9,9,16,15,18,7,14,11,11,14,13,17,11,14,11,14,12,17,11,9,10,12,13,15,11,15,12,11,9,11,11,15,15,13,11,8,9,16,10,6,11,13,8,11,13,12,11,8,11,10,10,11,10,15,18,10,13,10,8,13,12,14,11,10,9,13,15,12,14,9,8,11,14,10,14,11,14,16,20,12,16,8,14,10,8,10,13,20,7,11,11,9,11,9,10,13,10,9,9,14,13,11,12,13,12,6,12,11,5,11,9,11,12,15,12,6,7,5,5,7,3,2,8,8,7,1,7,4,7,5,10,11,3,1,6,5,10,5,8,9,10,7,8,8,5,6,9,10,9,8,5,7,7,9,8,6,5,11,13,7,9,8,4,8,8,7,7,17,13,5,12,10,5,12,9,4,14,9,8,5,10,12,10,9,10,14,11,11,12,9,10,9,15,15,17,11,16,18,15,11,8,10,13,9,9,11,17
10,14,14,8,17,15,4,7,10,12,16,8,11,11,11,11,9,8,12,10,11,10,12,18,15,13,11,10,6,4,10,4,7,6,9,16,14,10,10,8,15,8,6,7,15,11,9,13,13,13,5,12,12,4,10,7,10,7,10,12,19,14,11,18,9,9,10,17,17,9,13,15,9,12,12,10,8,11,9,12,13,13,8,10,11,13,11,6,15,11,15,7,18,6,14,10,8,9,9,10,12,9,15,7,7,11,15,13,6,12,14,9,20,10,11,10,13,16,6,10,9,13,11,16,9,15,9,11,11,15,22,18,11,14,13,7,18,20,12,11,10,9,10,13,14,10,14,16,14,16,12,10,10,5,8,7,10,10,12,7,7,7,6,14,3,7,8,9,7,6,8,2,6,4,4,4,9,7,5,8,8,8,8,8,7,20,3,6,8,7,9,12,4,11,8,5,11,8,7,8,6,9,3,14,11,5,9,5,14,10,15,9,4,5,8,7,14,9,10,8,20,9,9,7,10,9,7,11,7,3,6,9,6,10,11,12,11,7,5,12,5,12,9,5,12,19,8,15,13,10,13,10,12,7,17,9
4,14,15,12,14,13,13,11,16,6,11,8,18,10,14,15,13,22,10,14,9,17,11,14,5,11,8,17,5,11,12,4,17,10,13,10,11,11,14,9,10,7,12,14,11,12,14,11,19,9,8,14,8,15,18,13,8,17,13,7,10,9,8,10,11,14,9,14,7,15,5,5,7,15,8,14,13,12,15,17,5,12,10,12,10,10,5,10,11,4,10,12,4,15,10,13,16,17,13,15,14,13,7,12,15,9,18,7,18,18,12,12,8,7,13,14,5,12,10,11,12,13,10,17,5,11,13,13,19,6,8,8,13,8,10,15,9,16,9,13,21,10,17,10,18,11,12,12,9,15,6,9,11,10,5,6,7,5,9,3,6,11,10,15,8,10,9,4,9,10,5,8,7,4,2,7,3,7,7,7,10,11,8,12,8,9,6,2,8,8,9,12,8,9,9,14,10,7,8,8,10,5,8,11,12,7,11,10,12,20,11,12,10,10,9,11,11,5,4,11,9,15,8,10,11,15,12,8,10,9,13,10,8,8,14,10,11,11,12,11,10,14,15,13,11,10,4,17,15,14,9,13,13,18,10,10
9,5,9,20,14,11,13,14,10,15,8,14,16,12,18,11,16,8,14,9,16,11,13,7,10,16,9,9,20,20,7,11,13,13,15,15,12,12,12,4,9,6,10,14,11,13,6,5,11,15,13,12,11,9,13,13,8,20,8,15,12,11,12,17,6,11,9,12,9,9,14,13,13,7,11,13,9,11,7,15,8,14,14,11,17,12,13,14,13,6,12,13,10,14,11,12,14,10,11,9,3,10,7,10,12,15,8,20,9,14,18,11,9,16,17,10,7,12,13,9,7,10,15,9,14,17,13,19,12,14,17,14,8,12,9,14,19,15,17,11,9,10,11,17,15,15,19,10,13,11,12,12,5,11,11,6,8,5,9,9,8,10,15,5,11,6,8,9,6,4,4,8,7,6,7,2,6,9,3,5,10,6,12,10,12,7,13,3,4,6,5,7,5,14,6,6,7,9,10,6,12,2,16,7,7,9,8,9,15,6,8,18,5,11,10,10,7,8,11,14,5,5,5,14,6,14,9,13,15,11,4,9,15,12,12,10,11,4,7,13,5,11,14,5,13,9,12,10,9,5,7,9,6,10,8,14
10,11,5,11,16,11,12,10,6,11,10,10,19,11,10,16,12,19,9,14,13,19,10,13,10,13,10,9,9,9,8,11,6,9,7,13,11,10,14,10,11,9,14,15,11,9,9,11,7,12,9,13,5,5,12,10,9,9,9,21,12,10,11,6,10,16,14,12,12,10,13,9,6,14,12,10,14,17,8,5,12,8,7,9,17,12,12,6,17,18,15,12,13,9,9,21,16,10,11,10,16,11,16,13,10,8,15,12,12,15,17,14,14,14,17,9,10,18,14,13,6,7,14,13,6,9,17,8,10,9,12,10,9,17,11,12,6,14,14,6,15,16,9,8,11,16,15,22,16,7,11,13,8,4,8,12,9,15,10,6,7,9,9,11,6,4,6,8,12,5,8,13,6,3,5,5,6,7,8,3,4,15,6,11,4,12,6,9,10,3,16,10,11,7,8,6,9,5,8,11,12,14,10,5,9,9,9,7,8,7,16,11,9,10,6,17,9,10,7,8,13,8,11,13,6,9,6,11,19,12,12,6,10,10,15,16,13,13,12,11,10,7,10,11,11,8,7,11,15,14,8,14,10,11,12,10
11,10,12,12,12,9,14,12,11,13,5,12,7,12,10,11,17,11,5,7,11,11,7,7,9,6,14,15,8,10,10,6,9,12,10,3,13,18,13,9,8,13,10,13,15,19,10,9,11,8,12,13,10,9,10,7,12,7,9,14,8,10,12,20,18,16,18,9,10,13,12,10,14,10,6,13,13,7,11,8,7,8,11,14,8,9,11,8,6,19,13,2,8,18,10,13,6,11,10,9,10,9,12,10,13,12,11,16,14,15,10,18,12,14,8,13,18,11,11,12,10,16,6,10,11,12,13,10,9,15,13,13,14,17,14,13,7,7,15,14,16,9,23,10,7,13,10,9,7,10,17,8,5,7,7,6,10,8,7,3,8,8,6,9,7,10,12,6,5,5,15,5,8,8,5,4,15,5,3,8,7,6,7,9,11,5,7,10,11,10,11,11,15,7,4,6,15,13,6,13,11,8,10,8,11,2,10,14,10,12,9,8,9,9,16,7,9,12,9,6,8,9,19,9,16,13,12,14,13,12,13,17,14,11,9,7,14,10,7,12,15,9,12,9,7,4,9,20,9,9,10,13,13,9,9,8
5,12,13,6,7,9,13,11,18,10,9,7,9,13,9,7,15,17,15,18,14,17,10,10,15,10,13,13,11,9,10,9,7,8,6,14,15,15,12,7,8,6,11,9,14,8,10,14,11,9,8,7,7,6,5,6,9,8,13,12,7,13,7,18,11,11,12,12,11,8,12,16,12,12,9,11,19,10,12,12,10,16,9,7,10,13,16,9,13,8,10,12,13,9,12,12,12,7,14,7,13,11,6,7,11,13,16,10,8,11,12,10,12,11,5,11,11,16,7,13,12,14,12,11,14,11,8,8,19,11,9,9,7,15,14,6,11,12,17,8,15,10,8,12,12,10,12,11,13,16,6,9,10,12,6,3,8,4,6,3,7,6,12,5,4,4,8,7,5,18,11,10,3,11,9,6,6,11,5,6,8,7,11,9,4,9,9,7,9,6,5,7,9,10,7,10,14,8,16,10,11,4,12,5,8,9,4,8,11,12,6,8,15,21,10,7,12,9,12,12,17,14,7,20,15,12,8,13,8,9,7,9,12,17,16,15,16,10,8,13,9,17,15,15,7,12,7,12,13,14,11,17,13,11,11,9
18,15,6,10,8,11,18,12,7,7,9,6,9,14,13,10,13,14,14,12,12,8,5,11,13,8,17,13,15,13,11,8,9,12,5,15,13,7,14,9,13,12,10,5,11,15,12,17,9,12,15,9,9,12,9,6,8,15,14,11,13,19,10,15,12,15,14,8,13,12,12,5,10,14,10,6,11,19,15,7,15,9,7,16,14,6,11,13,8,13,7,18,12,13,8,6,7,4,8,11,9,13,18,17,6,13,13,12,7,11,10,11,15,11,8,20,6,13,12,20,6,14,16,11,12,10,22,9,12,15,20,8,8,14,17,11,13,7,12,8,10,11,11,10,18,19,10,7,12,13,16,8,9,4,10,6,6,5,9,6,4,5,13,2,11,9,7,6,6,6,8,15,6,6,4,11,7,12,7,8,7,6,12,6,9,5,5,7,11,6,9,11,8,8,7,6,11,6,4,9,6,12,14,4,16,7,11,8,7,8,16,10,8,11,10,14,10,9,11,12,16,10,9,13,13,11,13,15,10,14,13,16,18,14,13,12,7,12,12,11,11,14,7,12,8,12,11,12,9,21,13,12,10,12,12,8
12,10,9,5,9,14,11,5,13,11,8,13,7,11,8,14,8,13,15,11,8,8,11,18,7,12,10,11,13,16,14,14,12,12,11,7,11,11,15,11,9,10,5,8,14,10,10,15,14,12,9,17,13,5,6,10,20,7,9,8,12,10,7,8,7,9,7,13,11,19,8,16,6,8,12,10,8,14,9,4,7,14,15,16,11,12,10,17,8,11,8,12,9,11,8,12,5,10,7,7,6,9,13,17,10,13,6,9,10,12,11,11,3,13,6,12,15,10,15,15,12,11,11,6,9,14,11,9,12,14,15,12,15,14,15,12,6,12,16,17,9,10,8,11,10,9,12,11,13,7,14,11,10,6,5,9,13,3,9,10,5,6,9,6,4,4,14,6,4,4,7,8,8,9,11,9,7,7,8,9,3,12,9,7,10,14,12,6,11,8,6,9,7,8,14,12,9,10,5,10,9,8,6,12,14,12,10,9,7,11,10,8,14,10,6,6,11,14,7,14,8,11,6,11,8,9,13,11,10,11,10,18,10,10,10,13,8,13,8,15,12,13,12,8,19,12,12,15,8,13,16,13,11,7,12,9
11,19,10,8,8,10,10,5,18,7,8,12,13,9,11,18,10,16,10,18,9,15,14,8,11,13,7,7,4,7,9,10,14,3,13,9,10,7,13,14,11,7,23,8,11,5,13,9,10,11,6,15,8,15,11,12,8,11,11,13,10,7,12,9,14,14,17,13,8,14,10,6,10,12,15,10,13,6,6,5,9,9,8,12,12,12,7,10,11,14,11,15,8,20,20,7,10,13,10,11,9,12,7,12,13,8,5,8,14,10,11,11,13,14,9,7,10,7,10,12,9,14,7,14,16,12,12,8,15,10,15,16,15,10,10,18,8,5,16,12,9,11,11,13,16,10,12,14,13,10,7,15,8,8,4,10,9,9,4,6,8,4,7,3,1,7,6,7,3,8,5,4,10,9,6,7,3,9,9,13,5,7,3,17,10,12,4,7,5,13,16,7,7,9,8,12,8,4,10,7,9,12,8,10,12,8,11,7,12,10,12,11,14,11,11,6,11,7,12,11,6,13,16,10,11,11,11,12,9,21,12,12,14,9,15,16,12,15,11,7,15,18,15,8,15,20,15,11,7,21,11,15,11,9,14,6
12,4,11,18,11,8,11,10,17,14,14,10,9,10,13,6,14,11,13,10,20,23,12,12,11,8,10,10,11,12,9,13,17,15,8,14,14,17,18,10,9,10,8,5,9,15,8,10,11,6,16,11,16,13,13,12,10,10,18,12,11,12,12,13,17,10,13,11,19,12,10,8,14,16,11,11,9,9,14,9,13,6,15,10,14,13,11,11,14,8,10,10,15,12,15,6,9,6,11,12,16,8,16,6,9,11,10,9,3,4,9,8,10,7,13,17,19,6,10,6,11,12,13,16,18,14,13,10,19,14,18,15,9,12,10,20,18,10,6,12,14,14,7,9,7,13,9,5,15,15,9,15,10,10,12,11,7,10,9,8,8,3,9,3,7,7,6,8,7,6,8,6,9,6,3,7,11,3,5,10,5,13,10,10,11,8,6,9,9,4,11,13,10,3,6,7,9,5,6,9,12,12,14,9,8,6,11,4,9,11,8,11,9,11,13,11,8,13,13,10,13,11,10,7,8,18,13,8,11,7,11,11,11,11,14,12,16,7,14,8,11,10,9,11,15,18,13,10,5,12,5,11,8,9,10,5
8,10,9,11,12,9,10,10,6,8,10,11,13,10,8,5,8,8,8,9,9,16,21,9,13,11,15,14,13,11,7,9,13,9,8,13,9,16,14,4,15,9,11,12,9,10,10,5,17,15,16,15,16,10,11,10,9,14,9,15,8,10,12,15,13,9,11,13,13,15,18,15,13,11,9,12,15,16,9,8,15,9,10,8,10,16,12,14,7,12,16,9,17,14,16,13,8,10,13,11,8,19,7,13,10,14,8,11,16,14,13,9,12,15,8,12,14,13,18,15,13,11,16,11,14,13,14,12,11,12,14,12,10,16,14,16,9,13,11,10,12,12,7,10,10,9,16,18,13,9,9,9,4,5,10,12,9,9,5,6,7,9,8,9,6,4,8,5,9,12,1,3,5,4,5,5,12,3,10,5,8,7,7,5,8,9,8,6,6,13,10,13,7,6,9,10,8,9,17,3,8,8,9,8,7,4,14,8,9,12,9,11,14,16,11,11,14,9,15,7,18,13,12,11,16,16,12,18,14,12,16,13,8,17,11,9,12,11,7,8,7,9,17,7,10,14,11,6,8,11,20,8,13,9,13,11
12,16,15,11,16,11,10,15,5,18,9,10,10,9,12,11,10,18,11,6,17,13,6,10,12,14,12,6,10,10,11,9,9,14,18,13,20,4,17,9,8,6,5,16,9,7,2,11,14,8,8,4,15,11,17,9,14,7,13,12,11,13,9,15,5,10,13,17,7,20,11,9,15,9,15,10,12,10,9,16,17,16,9,11,5,9,15,14,10,15,7,7,10,20,18,12,7,13,11,14,16,12,17,14,14,9,12,6,12,12,14,8,13,11,14,17,12,10,12,6,11,9,16,9,12,21,12,14,20,10,12,15,12,11,13,6,10,13,11,7,12,14,10,6,9,12,7,7,8,6,10,4,11,9,5,6,11,10,6,10,3,7,11,12,4,2,7,5,4,10,5,6,3,6,9,5,13,7,10,6,14,9,9,10,9,8,7,7,9,7,6,8,8,8,7,8,15,5,6,10,9,16,15,8,15,7,11,9,11,16,11,15,18,12,12,11,11,8,9,13,12,12,18,9,11,12,14,16,8,10,11,16,15,10,12,15,19,9,16,6,15,10,12,14,16,10,19,12,6,14,9,6,8,13,12,9
10,10,9,13,11,10,14,16,10,15,12,10,11,7,10,13,10,7,9,6,8,12,12,19,13,3,9,5,5,12,14,14,19,9,8,12,8,14,7,16,7,17,13,8,15,13,11,12,12,5,12,15,13,11,5,20,10,14,3,13,8,11,14,13,13,9,6,9,11,8,9,12,14,9,11,10,14,9,10,11,11,11,13,12,15,15,9,10,11,9,12,4,11,13,22,13,8,9,9,16,19,16,10,11,9,13,8,10,6,13,6,8,12,12,15,5,15,12,21,8,11,14,11,13,21,12,16,10,8,8,13,17,10,7,12,15,14,16,10,18,13,12,9,17,8,7,14,16,17,14,11,6,7,10,14,7,13,9,8,8,10,11,9,6,6,7,11,7,6,7,2,8,6,10,17,8,10,9,11,7,10,7,10,8,8,12,4,14,8,10,4,8,12,7,14,13,11,10,9,10,9,8,14,9,11,8,14,8,6,7,14,12,10,15,17,6,15,17,7,8,12,13,13,11,15,9,7,16,12,7,13,10,7,11,9,8,14,14,14,7,10,14,14,17,8,5,10,14,12,8,19,10,13,13,9,13
14,9,14,13,9,19,12,11,12,12,17,15,14,10,8,14,11,10,10,15,4,12,7,6,12,13,10,11,15,11,14,16,13,21,15,8,13,7,20,12,8,13,8,8,11,12,6,14,16,8,10,12,11,15,6,13,10,10,12,16,14,15,12,12,13,14,10,8,11,8,11,18,11,2,17,12,4,9,15,9,13,8,13,10,13,9,6,9,10,10,8,7,12,16,4,16,9,14,10,10,3,17,14,9,3,14,16,12,11,10,10,14,13,5,19,10,17,9,12,15,16,15,8,15,8,8,15,8,16,10,10,8,14,12,13,7,3,14,10,17,16,4,9,7,10,11,10,15,13,11,8,6,7,6,3,12,7,11,15,10,7,4,10,6,8,8,11,7,7,4,7,9,7,4,8,4,5,3,9,4,5,9,16,6,8,8,7,8,7,8,8,5,10,11,13,15,15,8,5,12,9,19,10,8,6,10,6,11,11,14,9,8,10,14,13,12,14,9,15,12,12,7,6,13,18,7,15,11,19,18,9,9,15,12,13,12,7,11,9,8,11,14,12,15,11,12,11,15,12,6,10,15,9,13,9,9
11,14,9,10,12,13,14,8,11,12,11,11,8,14,16,19,11,6,15,8,13,14,11,15,15,9,10,18,12,11,14,12,10,16,10,18,18,14,17,14,17,11,7,10,11,14,15,14,14,11,5,9,11,11,11,15,17,9,9,8,9,15,12,13,15,10,11,13,13,7,16,17,10,10,10,13,7,10,16,10,16,12,6,11,8,9,13,10,11,10,14,14,5,7,7,14,9,9,17,8,9,14,10,10,9,12,8,14,11,12,17,12,13,6,17,4,8,12,11,8,18,12,4,9,15,8,9,14,10,20,14,14,13,11,14,10,13,13,11,15,7,10,9,15,12,9,13,12,11,12,12,7,3,8,11,7,6,8,5,7,7,12,5,4,3,9,12,8,2,5,10,8,6,6,5,9,12,3,7,9,8,13,3,17,13,10,9,9,6,4,8,10,11,7,9,10,6,11,9,9,6,8,13,11,8,10,14,7,14,9,10,9,14,8,13,8,12,10,13,9,9,18,13,19,9,12,6,10,12,12,9,13,17,8,14,10,15,6,11,5,13,19,12,13,8,13,12,11,11,11,11,14,15,15,8,12
12,19,7,11,14,5,14,14,12,12,10,11,10,12,8,15,14,10,20,7,17,7,10,12,9,6,10,16,11,10,7,13,12,6,18,18,9,10,13,12,10,11,9,12,13,10,12,9,8,20,9,11,7,8,12,12,11,11,8,10,8,12,8,11,12,12,9,12,8,12,16,9,11,15,9,11,14,11,13,7,12,10,12,16,7,17,6,10,17,11,10,7,15,7,11,13,10,12,13,7,13,8,9,14,12,23,8,15,17,14,12,11,17,12,12,9,7,9,10,12,6,9,13,17,17,16,16,19,10,17,17,10,10,14,13,14,16,6,6,14,9,15,11,19,9,13,7,14,10,14,13,10,8,13,7,6,5,10,5,12,11,10,6,9,5,7,7,6,8,11,8,10,10,9,9,6,10,11,9,9,5,10,7,11,10,8,12,13,7,7,15,8,6,12,7,8,9,11,8,11,8,9,16,10,9,12,9,8,7,10,5,7,6,8,13,7,14,14,5,11,6,13,11,14,12,11,17,13,15,8,9,23,11,13,9,11,11,13,14,7,18,8,11,11,11,11,14,17,13,10,5,10,15,12,15,12
10,12,9,13,15,15,12,12,16,10,17,5,14,16,10,11,14,13,14,10,7,12,18,11,10,9,9,5,11,17,11,12,11,9,15,10,8,11,9,10,11,7,11,17,14,14,12,19,9,12,10,12,11,11,1,15,12,7,10,12,4,8,12,14,10,11,6,11,15,10,9,10,9,14,9,13,6,10,8,9,12,11,11,13,13,13,9,8,8,6,8,5,9,13,6,15,12,12,8,11,4,6,4,11,13,12,9,12,8,16,4,13,23,11,15,8,5,17,8,9,10,16,11,19,11,9,15,9,12,14,18,15,16,14,9,8,14,14,5,12,17,11,11,3,13,13,12,8,5,6,9,9,9,6,8,12,7,9,15,9,12,12,8,4,6,7,3,6,7,14,8,6,5,8,12,7,13,10,9,10,9,5,8,8,3,17,12,7,8,16,10,10,12,5,10,14,13,6,12,13,11,9,14,11,12,12,16,12,23,13,15,14,13,15,10,7,8,7,13,13,7,11,12,14,20,9,8,6,19,8,10,14,9,14,15,14,11,4,14,12,12,10,4,11,15,15,7,14,12,10,9,9,19,8,19,16
8,12,13,11,10,11,11,10,14,12,15,12,17,9,10,9,10,15,8,9,17,8,8,8,9,10,15,7,6,10,12,15,9,14,14,7,7,14,12,10,4,17,17,13,8,11,4,8,11,9,9,12,13,11,7,15,12,9,14,14,8,11,11,8,8,11,9,4,12,15,5,9,5,12,2,11,13,15,7,7,9,6,9,8,14,11,10,8,7,14,11,11,10,15,11,10,9,11,9,10,11,9,9,6,10,12,13,11,7,8,11,11,13,8,15,15,10,10,10,13,8,7,15,11,17,16,7,18,11,14,10,17,17,19,16,10,15,8,7,7,11,14,10,11,9,15,13,9,13,10,9,12,14,6,5,9,7,8,12,12,6,10,10,13,12,10,12,8,7,10,8,8,4,12,4,12,6,9,7,6,7,6,6,10,10,10,9,13,16,7,12,14,9,15,11,13,7,6,8,9,10,16,10,7,13,8,9,9,15,6,9,16,12,4,12,10,11,11,8,9,15,17,8,11,13,20,12,11,4,10,13,9,7,12,14,10,19,9,10,12,5,9,10,16,11,12,6,6,13,8,9,14,18,13,16,12
17,7,11,11,7,14,17,9,14,13,10,11,9,10,12,9,11,13,11,18,11,8,9,5,12,10,6,7,8,12,11,6,14,10,10,7,14,8,8,13,14,12,8,14,12,12,10,9,13,12,11,15,16,16,10,13,9,11,14,11,5,13,12,11,10,17,13,10,7,9,7,8,8,6,21,8,11,13,6,11,10,5,11,8,11,13,8,15,11,7,13,12,4,20,14,14,5,12,4,13,13,12,10,15,12,15,11,10,11,7,22,5,9,11,12,19,15,15,9,10,15,13,12,17,11,14,17,16,9,15,12,13,17,11,15,7,8,14,12,15,10,8,9,9,14,16,7,10,10,13,6,9,4,5,6,7,9,9,7,7,8,9,16,7,7,10,7,4,12,8,8,7,6,8,4,8,13,7,6,14,7,9,9,7,11,3,12,8,17,12,7,19,13,7,7,3,7,10,13,12,11,11,10,12,7,15,8,13,8,9,13,5,17,10,10,16,11,8,8,8,9,15,8,9,13,13,11,11,10,7,17,8,14,12,10,9,12,14,12,10,6,6,12,11,20,15,13,10,12,9,14,10,15,14,8,13
14,10,6,10,12,7,11,12,13,7,7,19,13,14,14,10,9,17,6,15,8,7,16,9,10,8,8,5,8,7,15,10,11,13,9,11,13,20,10,10,10,13,10,8,8,13,11,11,17,10,16,11,15,12,7,16,6,8,10,13,10,14,6,13,11,10,9,17,13,13,9,19,10,9,14,15,9,12,10,11,7,11,12,15,8,15,11,12,15,10,12,11,13,11,14,8,5,9,6,22,9,13,13,12,10,11,10,10,5,16,10,19,13,11,13,17,9,12,14,6,11,12,15,7,15,14,13,9,17,6,17,9,13,7,8,15,21,13,11,16,8,10,14,7,8,12,13,13,8,9,6,7,7,7,6,5,3,7,5,9,5,8,10,6,4,7,8,11,8,12,5,8,8,11,5,6,5,8,9,9,9,5,13,8,12,9,10,9,9,9,8,8,15,9,10,10,7,12,14,13,8,11,16,22,10,15,10,9,16,16,7,12,10,17,11,10,9,11,9,12,13,11,14,6,9,10,12,18,12,8,16,15,7,12,13,19,11,9,12,10,14,8,10,9,11,13,6,8,9,10,11,10,14,14,8,8
10,13,12,14,8,8,11,6,15,12,12,9,15,14,15,7,12,12,9,17,10,9,9,4,12,17,7,18,8,12,6,13,8,10,12,10,11,12,10,11,4,13,14,13,8,13,11,12,9,15,8,7,12,9,10,13,10,11,7,7,9,8,8,11,8,13,9,8,11,15,10,12,13,12,15,14,11,7,13,7,11,13,3,6,11,4,13,5,13,15,8,11,5,14,21,13,15,11,14,12,23,12,9,8,10,9,15,11,5,17,15,16,17,14,8,13,10,19,8,10,10,7,10,15,9,10,18,12,8,9,13,14,13,13,10,15,19,12,15,11,13,11,10,14,13,10,17,12,13,6,8,8,9,4,7,7,6,6,13,9,7,15,10,5,13,5,9,9,7,8,13,9,8,7,11,9,12,11,9,8,11,10,16,14,6,9,12,9,14,8,9,14,9,15,6,6,13,5,6,14,12,12,16,12,8,9,12,8,10,16,12,11,9,12,9,10,8,14,10,9,9,17,16,12,12,9,10,8,6,10,7,10,13,14,6,13,9,7,9,10,13,11,9,8,16,15,12,14,14,12,8,14,7,12,15,13
12,16,9,10,9,4,16,25,12,12,16,11,6,6,11,8,18,13,7,9,18,17,14,12,11,7,14,8,8,10,10,10,8,5,13,10,13,11,15,13,9,9,11,13,6,10,11,11,8,12,6,8,10,10,12,11,10,10,12,6,12,17,20,5,7,10,8,9,10,6,10,7,12,10,9,7,13,11,9,11,9,15,10,10,10,7,7,8,8,5,7,9,10,10,13,18,13,18,5,13,11,8,10,9,10,13,13,6,9,10,14,8,13,15,10,10,12,9,8,11,11,6,8,7,9,7,12,15,8,8,7,10,17,14,8,13,9,12,12,13,6,8,17,11,11,12,12,7,10,7,14,13,8,7,10,7,1,10,11,7,9,14,5,13,4,7,10,9,9,10,8,8,7,7,11,12,8,9,8,12,5,11,8,6,13,16,7,7,10,10,8,12,18,11,6,8,8,7,9,11,11,12,14,14,13,9,9,6,11,15,11,16,11,9,11,15,14,12,13,12,8,8,13,6,12,15,16,15,17,11,11,11,18,15,15,7,19,14,13,10,7,6,12,12,7,15,9,8,11,16,13,7,11,10,5,10
16,11,20,9,21,16,13,6,10,12,14,10,13,15,20,9,13,12,10,11,11,8,13,9,4,14,13,14,14,9,6,11,12,9,12,10,10,9,6,8,20,8,17,11,11,11,5,10,17,18,11,10,20,13,13,12,10,8,6,10,14,12,16,8,6,13,8,10,15,12,10,12,11,8,14,10,9,8,7,8,10,13,7,14,14,10,11,11,15,7,12,8,9,8,5,14,17,9,11,13,15,8,7,11,9,13,9,12,15,12,10,17,17,18,13,8,8,11,12,10,14,15,7,11,14,7,8,9,18,9,7,12,10,11,9,16,10,7,13,18,11,12,10,18,14,11,16,16,8,9,9,7,8,6,7,8,10,5,10,6,13,7,11,3,9,5,9,7,11,8,8,9,5,4,6,12,15,6,9,8,11,11,14,8,11,4,9,9,11,9,9,13,15,6,10,11,10,8,10,10,9,6,7,12,9,7,12,7,8,12,9,11,15,9,6,11,14,14,14,19,6,8,13,8,11,10,9,15,17,18,12,14,11,18,10,14,6,9,16,16,18,10,14,12,11,12,12,13,11,14,12,12,13,14,8,9
10,6,7,7,12,8,7,15,18,13,16,15,13,7,2,10,6,19,10,8,9,9,17,11,11,14,7,21,14,10,12,6,11,10,10,13,6,12,9,9,12,14,12,15,18,13,15,12,11,10,5,11,9,5,9,14,16,11,10,7,14,11,4,15,12,9,12,13,10,9,10,9,16,7,11,6,11,10,6,8,11,10,14,13,8,7,7,10,11,8,9,11,11,3,10,12,8,15,4,12,11,7,14,6,12,8,14,16,8,5,12,17,19,9,8,13,10,16,10,11,13,10,9,8,12,4,15,10,4,8,16,9,14,7,10,8,7,14,10,15,10,18,9,13,13,9,9,14,11,7,10,3,9,9,10,7,11,5,11,10,8,8,6,2,4,10,8,7,5,8,9,10,10,10,9,10,10,8,7,13,10,6,9,7,15,10,19,17,9,11,9,7,11,9,11,5,10,13,9,10,15,9,11,6,8,9,12,15,14,5,11,13,20,15,11,9,11,11,14,11,10,14,6,13,14,12,11,13,18,11,13,13,12,11,9,7,8,8,15,17,9,5,7,12,16,11,13,8,14,11,12,14,13,15,10,10
6,15,10,14,13,11,8,8,8,9,8,8,10,10,7,15,13,5,15,10,9,8,7,8,16,9,14,13,10,12,11,14,10,17,9,7,16,7,12,8,7,14,14,14,9,13,8,8,16,9,14,11,8,12,10,7,15,14,12,8,12,14,8,7,15,13,14,8,10,12,11,8,8,13,10,10,10,10,9,6,11,7,18,11,8,5,12,10,5,11,13,8,10,10,3,9,15,8,8,6,14,13,11,14,13,9,19,9,9,19,15,11,14,11,9,9,7,13,11,13,8,8,8,14,10,12,6,8,9,15,6,10,15,13,7,9,14,7,12,17,11,15,11,10,7,9,8,15,6,10,12,9,7,6,14,5,5,7,7,10,6,8,2,10,12,8,4,11,9,13,8,10,9,6,7,12,12,12,10,12,6,10,11,11,15,11,9,7,16,15,16,11,7,15,7,15,12,14,14,6,22,9,7,11,9,7,18,13,12,11,11,12,14,10,13,19,11,14,15,10,11,15,16,10,7,13,6,10,13,14,20,4,9,8,8,8,16,5,8,16,15,16,8,7,11,17,14,8,9,13,11,11,19,11,14,17
9,17,10,11,11,14,10,10,10,8,12,10,14,5,8,9,11,13,8,11,9,11,17,10,15,13,9,12,15,8,12,15,10,10,12,10,12,10,13,9,9,10,11,11,10,11,9,10,18,15,18,11,15,8,8,3,15,9,13,13,9,7,8,10,12,17,8,11,6,7,9,10,14,13,11,13,15,9,9,8,10,8,10,10,7,5,13,9,19,11,7,9,16,8,11,8,10,14,8,6,6,6,11,16,9,6,15,8,16,14,9,12,13,13,8,14,14,12,11,16,11,9,8,11,8,8,11,9,18,7,6,15,7,11,8,14,14,11,7,14,8,9,8,18,13,8,11,7,12,13,13,9,5,5,10,11,6,4,7,9,10,2,13,9,7,9,9,9,9,16,10,7,8,9,9,8,3,10,8,12,8,7,14,8,8,4,14,7,13,10,8,6,14,15,9,14,12,10,10,21,10,11,12,8,15,10,6,12,8,10,10,9,9,7,9,5,12,12,12,16,9,11,14,15,8,8,15,16,12,10,9,12,11,8,11,11,9,15,13,12,14,11,9,10,9,12,12,14,9,9,11,8,13,13,9,7
12,13,9,14,14,7,14,9,16,14,17,13,13,11,13,17,8,5,9,7,13,7,14,11,15,13,16,14,5,15,17,10,14,9,12,11,14,16,11,5,7,14,14,9,12,11,14,11,6,11,15,11,18,17,16,14,16,11,11,16,21,10,6,17,10,15,18,9,9,13,10,6,14,13,12,13,10,9,12,9,19,12,12,18,7,12,10,16,7,16,16,14,5,17,10,13,8,9,14,13,9,7,12,10,11,15,8,14,12,12,9,6,10,11,11,12,9,14,10,13,20,12,10,11,17,13,10,11,7,12,9,6,11,10,8,14,13,13,11,10,7,12,14,8,6,8,6,3,9,10,8,8,11,10,11,5,11,8,9,16,9,10,6,10,7,6,8,8,10,7,9,9,11,12,16,12,10,8,9,12,8,13,10,7,15,3,8,6,7,14,14,8,17,11,10,6,14,11,11,10,4,12,9,9,12,11,11,14,8,7,15,9,13,14,8,16,13,18,12,11,11,11,13,12,12,10,12,10,7,10,14,4,12,6,9,11,14,6,14,15,15,12,13,9,13,11,8,17,15,12,16,10,17,12,19,14
10,6,15,14,12,9,8,18,11,15,9,11,15,12,13,11,13,10,14,15,15,10,8,5,17,13,6,10,10,4,8,8,12,16,16,9,11,8,13,9,12,12,7,14,14,11,9,19,7,17,13,7,9,9,9,12,8,16,15,12,15,16,6,9,13,11,16,12,13,14,6,15,12,12,12,16,11,11,13,16,9,11,13,10,18,10,14,16,11,9,11,8,10,12,9,8,4,9,8,6,11,6,12,15,10,10,7,10,11,15,7,12,13,14,7,7,8,10,13,6,8,14,6,11,9,11,11,10,12,13,10,11,10,14,3,9,18,17,14,14,15,8,14,10,8,9,16,10,9,12,11,4,11,12,6,4,8,8,5,8,11,11,10,11,10,8,9,3,14,9,9,8,6,4,11,10,6,8,10,7,10,10,11,13,6,8,8,10,12,8,17,15,12,10,16,11,8,10,15,10,8,23,10,11,15,8,12,13,11,10,9,11,11,5,13,12,12,9,12,12,14,6,10,10,13,13,15,9,15,12,15,13,12,18,14,8,10,16,8,16,12,9,12,9,11,10,17,14,13,17,13,9,15,10,10,6
14,11,16,9,12,9,18,10,4,13,13,15,11,5,14,10,13,7,10,12,7,8,15,27,13,10,5,13,10,6,7,10,8,12,7,8,14,11,13,14,10,8,12,9,10,7,13,20,8,14,10,11,10,10,14,13,13,11,7,6,14,15,14,14,11,10,10,7,6,12,9,9,9,15,10,12,11,14,11,10,11,8,12,15,14,8,11,12,8,8,13,15,19,13,12,11,6,15,8,14,13,14,8,7,7,12,11,12,6,6,9,12,6,15,11,11,10,19,9,11,11,4,11,11,12,16,10,9,7,8,7,10,15,15,15,7,11,9,13,8,16,7,17,9,15,6,8,11,12,6,5,7,7,11,7,9,10,9,7,10,10,12,8,5,7,7,10,6,8,9,6,17,11,8,14,16,8,7,13,9,10,9,10,18,8,7,12,14,11,19,8,15,18,12,10,11,6,13,8,11,16,6,12,11,7,11,17,6,11,7,11,15,13,15,10,7,11,8,13,8,5,9,12,13,13,6,9,12,15,15,10,11,11,15,14,7,9,11,6,5,7,12,5,11,12,12,6,10,7,5,11,12,10,9,6,8
8,15,12,7,8,10,17,9,11,10,9,12,9,14,5,18,9,13,14,11,10,12,5,13,12,19,12,9,8,15,7,16,17,9,7,13,10,13,6,8,19,7,8,14,20,14,18,11,13,11,16,9,9,10,12,9,14,20,13,9,9,10,12,9,7,12,11,13,8,4,11,13,9,19,11,17,11,15,9,14,10,10,14,14,14,20,12,10,9,7,14,7,17,8,8,16,8,11,8,6,19,12,9,14,10,12,11,8,11,5,9,10,10,12,21,10,11,12,11,13,13,8,10,8,13,9,12,10,15,16,9,8,13,11,10,8,11,15,9,15,10,9,14,7,8,8,8,8,3,6,11,6,5,17,8,3,6,8,7,10,13,5,6,12,12,8,6,15,16,14,8,5,14,10,16,8,13,11,15,9,15,13,13,7,14,8,1,9,14,16,15,20,17,10,10,9,5,16,8,9,8,8,6,7,11,10,15,9,8,9,14,5,10,9,19,9,9,13,13,13,6,12,18,11,10,10,18,11,8,17,15,11,11,8,8,22,14,12,13,10,11,7,9,11,11,13,13,8,14,12,10,18,12,16,17,13
6,10,12,8,12,6,18,15,14,15,14,10,15,12,10,8,20,10,7,6,9,14,7,14,9,12,10,10,8,5,8,12,14,12,13,6,9,9,11,14,11,16,13,8,12,11,16,6,10,11,8,9,8,11,12,7,9,11,11,17,9,12,10,12,11,7,6,13,13,12,13,15,10,12,11,15,8,14,15,8,16,13,6,11,14,14,9,17,10,11,12,9,10,16,7,12,13,10,14,11,5,8,13,15,10,16,12,8,8,15,9,11,10,13,8,9,9,5,6,16,6,8,6,12,11,16,13,5,10,10,8,13,11,15,16,9,12,13,6,13,5,19,13,12,8,18,9,10,6,5,7,5,8,5,12,8,9,10,7,4,10,16,7,8,16,12,7,13,14,14,20,8,10,12,8,9,12,11,6,10,9,11,16,13,11,13,16,14,17,14,6,19,7,11,12,10,14,5,20,6,13,19,7,10,7,11,13,10,11,11,12,5,12,16,12,2,6,8,18,11,13,12,11,12,7,10,10,13,10,7,12,7,11,14,11,11,14,7,12,13,10,11,12,11,8,10,11,15,10,8,15,16,12,9,10,12
9,15,12,8,10,10,10,12,10,7,9,15,14,13,15,8,13,9,10,13,20,11,17,10,11,12,6,15,14,10,4,8,16,10,6,16,11,17,11,12,18,11,12,13,6,17,14,20,7,4,14,7,10,11,13,12,7,21,15,10,10,7,18,14,10,11,10,10,17,13,15,10,12,12,14,10,15,10,6,9,14,15,8,17,7,9,10,13,7,16,14,11,16,14,6,11,13,14,9,8,7,11,9,11,13,13,10,7,10,9,7,11,12,8,10,5,9,8,16,2,10,8,14,10,13,14,9,12,9,8,9,11,16,17,15,14,8,11,12,18,14,12,13,8,6,19,7,12,5,9,9,5,5,10,9,10,8,7,8,7,8,5,14,7,10,16,13,14,10,10,13,11,17,11,8,12,15,9,9,9,10,7,12,11,17,4,13,11,8,5,15,10,18,10,10,10,7,15,12,3,16,10,11,11,7,8,11,12,12,12,11,9,9,15,14,12,9,8,12,9,8,9,8,11,10,8,9,8,5,8,10,10,5,10,10,14,13,8,10,17,12,17,6,18,13,15,9,16,12,12,10,11,8,12,13,11
11,7,14,12,8,12,11,18,11,10,15,12,10,11,6,9,8,16,10,10,7,7,10,9,13,11,9,13,16,6,12,13,13,16,9,17,11,10,12,8,11,7,12,8,14,9,8,12,7,12,14,13,7,4,10,10,14,10,14,12,12,20,11,14,12,9,11,10,11,11,15,17,10,9,12,13,14,13,11,16,14,15,17,12,14,18,8,10,8,17,9,9,6,16,9,9,10,8,9,12,13,8,9,10,11,13,10,6,14,7,10,6,9,9,11,13,7,14,10,11,14,4,11,13,8,9,9,18,8,11,10,13,7,11,13,22,10,12,19,11,17,15,10,11,8,14,11,9,10,12,8,7,10,7,7,8,6,13,8,5,16,11,11,9,9,9,13,12,14,9,17,12,11,12,8,11,7,12,9,9,14,15,12,13,10,9,10,13,8,13,13,9,13,12,8,22,7,15,14,14,12,10,13,12,12,10,15,16,14,11,11,13,8,11,10,8,14,9,13,17,15,12,12,8,8,16,14,16,10,10,14,13,21,11,12,5,18,11,16,13,13,16,9,11,6,12,16,13,11,7,13,10,17,5,5,21
11,15,13,8,12,13,11,10,14,12,13,11,16,13,12,16,17,8,10,6,8,5,13,12,6,9,13,12,17,13,11,7,9,15,13,9,13,6,14,5,10,7,10,13,9,10,7,14,12,9,8,8,13,19,10,12,11,7,11,10,13,14,16,9,13,7,15,8,8,8,15,8,5,10,12,6,13,16,11,19,18,18,9,13,11,10,10,11,18,11,12,7,11,11,13,10,6,12,9,18,13,10,11,11,17,13,12,8,16,15,13,9,10,14,16,10,11,10,9,9,10,20,9,9,11,6,10,9,7,6,12,12,11,14,11,8,11,14,15,13,7,12,5,12,11,8,4,12,7,8,4,7,13,9,12,7,8,15,10,7,5,7,12,9,9,19,11,10,7,12,15,5,10,10,15,6,11,7,8,13,4,14,10,6,8,11,16,6,12,14,9,9,13,13,17,11,13,13,9,11,12,14,5,15,9,10,16,10,14,13,6,14,10,13,15,16,12,9,10,13,7,21,14,5,8,9,14,11,6,10,13,7,5,7,14,9,12,21,8,17,15,7,8,14,10,16,12,9,15,15,13,14,10,12,14,9
15,10,14,8,10,7,9,11,11,8,12,5,10,14,10,10,13,6,11,9,8,17,15,7,11,14,16,9,10,9,11,9,14,19,8,14,13,6,7,12,8,9,8,13,11,8,12,9,11,11,10,8,9,7,8,7,10,7,10,13,11,11,9,14,12,9,10,12,8,12,8,12,13,11,5,8,7,10,10,9,10,11,15,11,13,13,15,12,11,13,9,10,13,7,6,12,14,24,5,9,13,9,15,7,9,9,10,19,8,14,7,10,9,9,11,8,7,8,15,12,14,10,12,11,14,14,13,18,12,15,8,10,11,9,14,8,12,13,14,7,11,6,9,10,9,7,9,12,8,8,12,12,10,9,9,8,10,7,8,13,8,10,10,15,13,22,16,19,9,12,13,20,15,12,10,10,11,9,6,10,10,8,8,11,5,7,8,9,13,11,8,12,7,10,15,10,10,9,10,9,11,10,15,12,9,8,14,7,15,13,4,11,9,11,13,11,9,19,8,11,18,10,12,8,15,8,11,10,13,7,13,18,9,10,11,11,10,8,10,17,20,16,15,14,21,14,12,5,11,13,17,14,13,11,6,10
16,12,10,12,7,18,8,9,11,9,12,17,12,12,10,12,8,14,13,13,13,11,10,17,17,11,4,13,15,13,11,9,7,9,8,10,13,10,9,10,15,18,11,10,15,9,16,9,12,14,17,9,9,15,6,8,4,10,8,10,12,11,8,4,14,12,6,15,6,8,10,11,10,16,11,15,12,9,9,11,7,10,16,11,11,6,12,9,13,15,9,12,6,12,14,21,12,12,7,12,5,10,14,9,11,10,9,9,19,10,6,17,14,10,10,15,15,12,12,14,14,10,12,6,18,12,10,14,10,8,11,9,15,11,22,10,13,12,10,10,11,13,13,15,5,11,8,5,7,10,10,7,9,6,6,9,7,8,8,6,7,12,14,12,9,14,9,8,11,9,15,10,15,11,8,10,5,9,12,8,10,8,8,3,13,12,19,12,7,11,9,10,9,8,9,11,8,9,8,10,11,10,19,12,10,7,7,8,17,8,13,7,8,12,14,17,8,11,11,8,3,11,9,6,14,8,11,14,18,10,12,10,10,9,3,15,10,10,13,12,10,12,14,13,14,12,13,18,10,11,7,8,12,14,14,7
15,7,15,10,7,16,12,9,9,9,9,16,9,12,8,14,10,13,11,8,7,11,10,13,14,13,14,3,12,11,8,12,4,9,14,13,15,6,8,11,9,15,15,15,8,15,8,14,14,10,6,11,10,16,13,10,9,9,9,9,11,9,10,17,7,9,6,13,10,11,13,11,9,16,15,16,11,12,9,17,13,13,10,9,12,11,12,10,5,7,6,7,8,17,10,14,9,13,7,16,12,7,8,13,10,12,11,11,7,3,11,16,13,10,11,15,11,9,16,12,13,14,18,16,6,13,13,14,14,16,8,13,12,15,19,16,12,13,8,10,22,17,12,11,11,10,6,7,8,9,8,9,17,14,12,12,9,12,9,10,6,9,5,4,12,6,11,14,12,9,10,11,13,12,12,12,10,14,11,14,9,8,9,7,9,8,15,12,8,15,9,7,11,9,15,14,9,7,6,9,9,12,4,12,12,11,13,5,13,16,18,15,11,11,11,11,13,15,11,12,15,20,9,13,10,12,12,12,8,9,9,4,10,5,13,13,11,8,5,10,13,12,15,11,6,12,16,15,12,11,10,11,11,7,8,14
8,17,3,20,12,8,16,6,11,12,7,6,16,13,9,12,6,13,7,5,13,9,15,10,8,8,9,5,12,14,11,9,10,16,12,11,7,13,13,8,12,8,16,11,9,14,7,9,15,13,7,11,10,10,10,16,12,12,5,7,12,14,11,10,10,10,11,12,15,9,10,11,7,14,14,8,12,13,11,12,12,9,12,8,14,18,8,6,5,11,7,18,10,14,9,8,9,8,12,3,10,11,10,10,11,18,10,17,9,8,14,6,8,13,5,16,10,10,14,10,11,12,11,10,14,8,10,10,13,14,14,13,5,10,19,14,18,12,11,13,16,5,3,13,9,16,9,7,13,6,6,8,11,14,14,8,9,11,7,20,8,6,11,11,14,11,7,13,13,6,17,17,19,11,6,11,15,11,15,9,8,13,10,17,12,9,3,15,16,11,12,12,12,15,12,13,8,19,14,8,9,12,14,11,9,18,15,7,15,12,12,15,13,12,14,16,5,13,15,14,13,9,15,8,5,11,10,12,6,10,14,11,12,7,13,10,13,14,11,10,10,18,13,11,10,16,16,8,14,12,19,12,9,14,10,15
14,14,7,8,7,6,8,18,10,11,14,14,12,11,12,8,8,9,10,10,16,15,14,13,11,15,16,9,14,17,18,10,11,10,6,9,13,15,7,7,13,17,14,8,17,15,11,8,11,8,18,11,15,8,5,13,16,12,9,9,12,10,11,9,5,9,19,9,12,11,11,12,12,9,8,12,7,9,9,11,15,17,11,9,8,9,12,9,12,10,11,13,9,7,5,13,13,14,8,15,11,13,9,8,12,12,12,22,11,9,13,9,16,9,10,7,13,15,7,11,12,15,15,9,12,10,11,11,11,16,12,10,10,11,12,10,5,12,16,9,14,10,12,13,7,8,5,5,11,9,15,2,11,4,11,13,13,11,10,10,9,16,9,12,10,13,15,14,7,10,12,10,9,13,14,8,10,10,12,12,13,14,14,10,11,15,14,14,22,11,13,20,10,12,15,17,12,13,10,12,11,12,10,13,14,13,7,11,12,14,7,8,10,14,17,11,14,7,12,13,16,14,17,17,17,11,13,11,6,6,15,14,8,12,7,10,11,19,10,11,9,11,9,10,9,13,9,11,16,4,9,10,7,12,11,12
9,17,14,16,17,9,17,18,9,21,8,5,11,12,14,9,12,11,15,15,12,4,16,15,16,10,11,6,16,13,8,10,12,8,13,16,9,15,13,17,17,7,16,5,11,7,21,13,9,9,12,14,14,16,9,12,14,9,12,9,15,9,12,11,13,17,18,9,14,10,16,11,18,12,9,11,15,12,7,12,10,19,10,14,11,11,6,9,12,12,11,7,9,11,15,16,11,12,11,11,16,9,9,10,9,9,12,13,8,14,15,9,12,14,15,23,11,10,13,7,10,11,8,8,14,10,10,13,13,11,13,11,11,9,14,10,12,13,11,8,12,5,9,11,11,9,10,6,13,12,9,9,7,12,8,6,10,9,16,11,9,14,18,10,3,12,6,12,10,8,9,7,11,15,11,12,11,9,5,9,7,6,12,9,9,8,9,12,12,10,10,18,7,5,11,9,15,9,12,7,15,12,16,17,10,17,8,9,17,8,12,12,10,15,9,15,3,15,9,9,16,11,15,18,5,12,13,11,7,11,16,12,13,13,9,13,13,9,13,13,11,10,8,7,7,11,17,14,10,12,7,10,8,12,14,8
8,6,13,9,7,12,14,10,11,7,10,7,8,10,17,10,7,9,12,14,13,16,14,10,11,11,19,7,10,15,7,13,14,8,17,12,16,10,11,24,7,10,10,8,12,9,14,6,13,11,14,7,13,13,16,13,17,12,11,10,11,15,14,11,13,11,5,10,12,16,15,11,13,10,9,8,6,7,6,18,7,8,9,9,10,10,11,10,6,10,13,17,8,12,9,9,5,6,8,14,12,9,12,9,14,8,11,12,11,11,7,17,10,14,15,14,9,14,13,14,9,9,16,8,10,7,5,16,7,20,12,8,5,14,13,3,6,7,15,11,15,12,10,7,2,13,11,6,16,10,6,7,7,9,9,5,14,7,11,14,10,10,9,10,19,11,11,8,12,17,14,6,12,15,9,9,11,12,11,13,6,18,14,13,9,11,9,18,20,12,5,9,13,6,16,12,14,13,14,15,10,9,10,13,14,12,7,17,13,10,9,18,9,6,10,17,11,12,14,10,18,12,13,6,16,9,10,7,10,12,13,11,6,9,14,9,13,10,17,11,12,17,10,17,10,9,12,17,11,7,12,9,14,6,9,9
13,11,7,14,19,12,16,12,17,12,15,13,10,13,9,7,10,14,11,14,6,10,7,13,13,9,12,13,7,13,10,9,14,9,10,15,9,15,14,18,11,15,7,5,15,11,8,7,7,13,14,13,12,16,12,19,7,15,10,14,12,8,12,12,12,9,9,4,10,5,11,10,15,7,10,7,7,16,8,11,12,11,11,11,9,15,11,11,17,12,13,13,8,15,6,13,10,12,11,13,11,17,5,13,12,9,12,7,18,13,12,9,11,7,14,13,16,16,7,12,8,10,13,9,9,12,8,10,14,14,9,14,8,13,7,8,9,10,18,15,15,6,8,9,5,15,6,9,12,8,14,14,11,6,8,13,6,6,12,19,10,15,9,12,13,7,7,16,14,7,12,19,10,12,12,18,11,16,20,8,17,11,13,14,15,11,15,12,16,13,7,10,16,16,11,16,7,14,9,11,12,10,13,15,16,15,8,9,13,15,11,15,4,6,7,7,9,10,8,9,8,9,9,8,8,17,14,13,14,10,13,14,15,8,14,11,15,10,16,10,16,6,18,13,10,12,10,14,13,12,14,7,13,5,14,17
18,11,12,15,11,11,17,9,12,8,10,9,12,15,12,9,12,12,11,9,12,9,11,4,7,12,10,11,13,13,5,9,11,6,11,7,9,14,14,19,11,11,12,8,18,10,11,11,9,12,8,15,12,12,11,7,9,9,11,12,6,11,12,6,14,9,15,11,9,8,12,7,6,8,11,11,14,18,12,12,22,20,13,9,8,10,7,8,6,9,10,13,7,10,8,12,10,10,12,9,8,16,6,8,11,14,11,10,11,14,12,9,18,15,13,12,12,14,9,11,9,13,9,11,12,11,11,16,11,12,15,11,11,11,9,9,11,11,14,13,18,10,8,10,8,14,12,8,17,5,15,16,8,8,12,10,13,9,5,8,11,10,13,8,6,11,8,12,13,11,4,11,8,15,16,9,14,13,14,9,8,12,9,11,5,10,12,10,10,6,15,14,12,18,12,9,14,12,12,13,5,16,14,18,8,16,6,13,9,13,8,16,13,10,9,9,9,14,6,12,7,16,13,12,10,10,16,13,12,10,10,10,12,11,9,13,16,9,9,9,9,17,10,12,7,11,12,5,7,11,12,10,13,17,11,9
15,10,10,18,9,12,14,9,9,12,13,12,7,11,10,15,10,6,8,6,8,13,14,7,13,12,7,16,11,13,13,18,16,10,7,15,13,15,11,10,12,7,10,14,11,15,9,11,10,12,6,9,9,10,8,17,14,7,12,14,10,9,13,10,17,12,10,10,12,15,12,9,10,7,7,8,13,10,8,14,14,17,15,11,11,10,12,17,12,18,11,13,8,13,18,7,7,10,16,8,12,11,13,9,7,13,9,11,15,7,14,10,7,7,10,15,10,15,9,13,16,10,11,11,20,12,9,12,12,17,8,9,15,13,10,7,14,8,18,12,16,11,12,11,10,18,13,18,14,10,8,21,13,17,8,13,12,14,10,12,10,15,12,14,12,10,11,11,12,6,8,12,12,10,10,12,11,16,15,17,7,10,11,11,8,8,14,8,16,13,4,8,6,14,11,9,15,20,12,11,12,10,8,11,14,11,8,17,11,8,10,10,19,14,10,5,10,19,10,10,8,13,15,17,11,7,12,6,11,13,12,9,13,12,9,13,13,14,10,16,4,10,9,11,9,14,16,11,8,11,7,15,9,10,11,16
12,8,8,15,20,6,6,10,10,15,14,13,13,13,9,13,9,11,11,10,9,6,8,12,10,14,9,17,4,14,14,9,12,8,14,13,16,13,14,7,15,13,12,5,10,18,12,15,14,8,10,12,10,13,14,12,14,14,11,12,16,9,11,17,8,13,16,16,13,11,11,12,8,11,10,9,11,14,13,14,12,11,10,14,12,11,12,11,16,11,13,8,10,13,8,12,14,14,11,10,17,7,10,14,10,9,13,11,12,10,16,11,18,10,15,11,9,9,10,5,14,12,10,13,9,12,8,11,17,16,14,9,7,16,13,12,8,10,21,13,13,13,14,13,20,14,6,5,11,9,12,19,10,11,18,13,12,8,13,6,17,9,7,20,7,12,13,16,8,7,14,2,6,10,12,9,15,13,5,10,16,9,9,6,5,10,8,13,11,7,9,13,15,9,10,19,7,8,6,10,13,6,14,11,15,18,10,9,11,9,11,9,10,12,8,8,16,13,7,9,11,14,5,9,12,9,9,11,15,15,11,9,12,9,10,20,4,19,14,12,17,10,12,9,8,17,13,15,10,7,1,5,13,14,8,9
8,4,10,16,8,10,3,8,7,9,8,7,8,9,13,18,22,15,12,6,8,7,14,10,5,11,13,10,15,12,20,10,10,10,10,7,11,11,17,22,10,7,16,5,18,15,8,14,13,7,7,9,11,11,13,13,6,17,8,9,14,11,10,18,14,9,6,3,8,18,10,13,8,11,9,6,8,9,10,9,12,16,17,10,14,13,10,10,13,15,6,17,7,9,17,13,15,6,13,8,6,15,14,9,14,14,15,14,8,10,10,12,9,6,10,14,13,15,18,9,12,12,13,9,11,10,9,13,9,14,16,14,11,15,10,8,11,12,19,13,13,13,15,7,14,12,11,9,6,10,14,12,19,14,9,6,12,8,12,19,15,16,13,6,8,12,9,17,13,9,9,10,8,11,9,14,7,15,8,9,6,10,13,9,14,12,10,9,19,15,12,13,11,10,11,23,11,12,13,11,11,12,12,15,16,12,19,16,10,9,15,13,14,11,15,16,17,16,17,13,14,8,12,7,8,9,14,10,9,7,11,14,8,11,9,17,10,19,6,12,11,10,15,12,8,7,8,13,11,11,14,13,8,11,12,7
8,9,10,10,14,8,8,15,6,14,8,8,8,5,15,8,14,10,8,13,6,12,15,9,12,8,4,7,7,9,8,16,16,11,7,7,12,15,15,15,11,14,16,14,9,13,11,12,10,7,9,16,9,12,11,14,14,15,14,13,11,14,17,11,15,14,8,16,12,12,8,15,14,11,9,12,16,10,7,10,7,10,6,9,14,11,18,12,8,11,14,14,14,8,4,12,13,18,15,7,10,7,6,9,12,11,13,10,14,13,9,11,11,18,12,15,18,8,14,10,7,13,9,15,17,13,11,10,6,20,12,19,15,16,14,10,13,8,11,8,9,14,17,13,8,11,16,8,9,9,11,12,12,11,11,8,12,16,13,12,10,15,9,14,15,8,9,9,8,15,9,6,11,11,16,11,11,14,12,14,9,10,11,13,13,16,10,15,7,10,11,8,14,12,9,14,14,19,15,15,10,7,16,8,14,12,17,12,14,6,15,14,11,19,18,21,11,10,11,8,10,8,17,10,7,14,13,10,8,16,7,6,10,12,7,14,15,13,12,11,15,8,9,11,9,15,11,13,11,14,12,11,12,6,6,19
15,19,8,12,11,19,12,13,17,13,17,15,9,11,15,10,15,8,13,14,13,10,17,9,10,13,5,7,14,11,13,11,12,18,11,14,16,11,13,8,8,13,12,16,13,9,8,5,10,3,13,9,11,13,14,13,7,11,11,8,9,10,14,20,8,9,11,11,14,15,12,4,11,7,18,9,7,18,17,9,11,17,12,15,11,12,10,10,7,9,10,6,15,7,10,12,9,20,12,10,7,14,11,11,9,6,9,16,9,5,12,15,10,7,6,17,16,11,6,8,16,8,4,15,13,18,19,11,17,9,13,16,9,10,10,8,16,14,18,15,17,21,9,10,7,11,13,9,15,9,9,4,14,10,15,11,12,10,12,13,13,12,9,12,8,14,11,12,12,13,10,9,9,10,9,9,7,18,13,12,19,7,7,17,15,10,24,8,13,13,11,13,9,15,11,7,11,13,13,12,8,6,10,8,17,15,11,12,15,10,8,12,12,12,10,8,9,11,14,11,16,15,14,11,13,6,14,16,13,20,13,8,15,7,19,8,10,8,6,11,11,12,8,11,19,18,12,14,11,8,17,13,9,13,13,12
10,8,8,7,12,16,7,12,13,13,15,9,6,9,18,13,12,19,15,9,7,16,13,14,18,13,9,7,8,11,16,6,14,10,9,13,8,16,8,11,16,10,8,11,13,9,14,11,12,14,5,6,8,14,16,11,12,13,9,12,10,13,12,21,10,16,9,11,21,11,6,18,10,9,13,14,9,13,12,10,6,12,5,11,10,16,10,10,8,7,17,17,12,14,9,12,11,7,11,13,11,12,7,8,17,11,14,8,11,12,12,7,5,8,16,9,11,16,8,15,9,16,15,14,10,7,11,12,13,12,7,12,19,10,9,8,19,10,13,16,10,19,10,12,12,15,13,8,10,14,6,17,5,9,11,11,15,13,16,16,11,7,16,12,11,14,7,8,8,13,10,12,6,19,10,11,15,8,8,14,13,13,14,8,10,11,15,10,16,10,10,13,15,14,7,10,7,8,6,10,9,14,14,9,9,9,15,11,19,12,18,10,9,10,7,12,13,6,10,13,13,10,10,15,10,15,10,13,13,12,9,13,17,9,8,16,7,13,11,14,12,8,10,17,11,13,15,15,16,12,10,9,9,12,13,18
18,9,10,6,10,13,15,8,24,12,5,14,6,13,17,10,9,22,11,11,10,12,12,15,13,16,10,15,16,10,14,9,17,10,6,9,13,9,8,11,11,9,10,11,14,10,8,19,7,9,11,8,11,16,14,6,12,11,8,10,12,11,15,14,13,9,13,9,6,8,13,9,15,19,15,7,17,8,10,5,12,14,21,13,9,12,10,13,10,6,7,10,14,12,12,9,9,13,14,8,13,15,10,9,11,17,16,12,16,9,7,9,14,4,14,6,11,7,18,12,15,7,15,15,14,14,11,13,23,10,14,14,12,10,14,11,13,10,22,12,11,11,10,9,10,16,14,13,12,8,6,13,14,20,13,8,9,13,8,15,16,14,9,7,14,8,10,10,14,11,9,16,9,6,8,7,10,21,9,9,8,4,15,9,10,7,17,13,10,12,9,12,16,9,7,16,11,8,7,10,12,11,8,19,15,14,13,7,14,10,8,9,12,16,8,9,8,7,10,13,14,8,15,15,18,11,13,15,13,12,12,8,10,10,13,8,9,11,14,9,12,4,23,9,10,10,16,12,9,15,15,13,13,8,14,9
11,11,10,11,18,11,18,7,9,12,11,12,12,13,6,12,15,7,7,13,9,7,12,14,11,6,14,9,11,12,11,15,12,14,7,13,14,8,7,11,10,9,10,11,10,6,11,8,18,8,11,9,10,13,11,7,17,13,9,8,9,12,12,10,8,18,9,4,18,12,9,11,13,9,10,17,7,11,13,7,8,5,10,15,15,12,15,15,10,8,7,13,6,6,15,8,15,10,15,9,15,18,12,8,14,13,9,10,10,11,7,11,12,11,12,10,10,7,14,13,8,10,8,15,12,14,12,11,8,19,7,14,10,15,6,17,9,16,21,12,13,8,15,14,11,10,17,16,5,11,19,9,18,12,8,9,9,10,5,10,19,12,16,10,7,7,6,11,13,17,17,10,15,12,5,14,9,7,6,17,10,16,12,10,9,8,13,9,11,8,16,15,14,10,9,12,11,13,13,10,11,17,14,7,8,17,16,9,16,8,11,11,18,14,16,7,14,9,16,6,9,8,9,12,14,9,13,7,8,8,16,18,12,17,11,16,7,12,9,12,14,10,14,13,11,13,15,18,6,7,15,8,14,16,15,14
14,12,10,17,6,10,10,12,8,11,10,8,15,8,11,10,16,9,9,11,11,11,6,11,13,6,10,7,11,8,16,5,8,8,4,14,12,23,12,14,10,16,8,14,6,7,11,15,9,6,7,10,16,9,14,21,13,10,10,15,16,9,8,12,13,11,9,11,17,15,10,12,15,6,9,14,6,12,9,13,9,12,7,9,9,7,10,12,10,9,14,9,13,10,21,12,11,10,10,16,11,8,6,10,17,6,15,10,13,8,10,12,9,13,10,8,7,7,13,9,5,12,3,12,16,13,7,15,10,14,9,12,18,12,13,8,8,8,17,7,17,15,11,13,11,7,8,10,13,13,8,16,11,8,11,14,10,13,11,6,7,13,11,11,19,12,14,15,11,15,7,14,12,6,14,8,12,14,5,10,14,15,12,10,8,15,8,10,15,13,21,16,14,9,7,7,6,10,11,11,12,10,9,15,7,5,3,10,8,8,12,8,9,8,12,14,11,14,10,13,7,9,17,12,16,8,16,12,11,10,16,8,15,9,9,14,14,11,9,13,10,11,14,11,11,9,16,9,10,16,13,16,16,10,9,14
13,7,6,20,8,9,12,12,16,13,15,8,9,7,8,14,14,9,10,6,6,9,10,14,15,8,11,10,7,5,7,10,10,7,8,12,12,8,14,17,10,8,11,6,6,6,8,7,9,20,10,10,5,11,12,17,10,17,12,10,4,13,9,13,14,16,13,10,17,10,13,12,7,12,15,13,7,17,13,15,6,13,7,11,9,13,14,17,11,12,10,8,17,8,6,8,6,13,15,13,10,9,12,12,13,15,7,13,9,10,8,15,14,8,6,9,16,11,12,10,11,8,10,13,12,7,11,7,13,14,16,8,15,13,10,9,15,11,10,15,15,12,7,16,6,7,7,13,7,10,12,12,13,4,11,11,6,10,12,10,12,8,11,16,11,8,15,16,20,7,11,11,14,8,13,10,9,16,13,7,19,8,12,8,13,12,14,9,9,13,15,9,13,8,12,11,7,8,13,13,15,22,6,15,14,13,14,8,14,9,12,14,10,13,12,13,9,12,12,14,15,10,6,8,14,10,11,12,8,11,12,16,11,10,9,13,7,12,7,13,13,8,11,13,17,20,10,11,12,11,12,10,13,13,17,15
13,19,15,16,16,11,5,9,20,10,14,11,10,12,14,15,7,19,12,15,9,9,15,15,8,8,15,10,4,11,10,8,5,15,9,15,9,12,7,13,10,9,9,20,9,14,14,12,12,13,15,12,6,17,12,13,8,15,11,15,6,11,13,12,12,7,11,13,9,5,12,8,13,12,18,14,7,14,17,12,8,11,7,6,6,16,11,8,7,9,9,11,3,16,8,13,11,14,7,10,12,7,9,14,10,13,9,10,10,9,3,10,8,9,9,19,11,10,10,15,17,15,11,13,9,10,15,10,14,20,9,16,13,13,15,6,14,12,8,12,18,4,17,15,11,13,9,10,7,12,12,16,11,7,4,14,6,16,12,11,14,8,8,12,10,7,14,13,10,10,11,22,13,14,10,15,20,17,19,12,8,12,16,16,6,8,12,8,14,16,9,10,16,13,15,15,16,9,14,13,13,7,16,10,13,8,8,21,14,13,13,8,11,6,11,14,9,11,10,9,16,14,14,9,7,8,15,11,13,8,15,12,15,4,6,12,7,10,8,7,12,12,7,12,9,11,9,12,14,2,10,10,16,10,16,6
13,12,12,11,14,9,11,16,15,9,8,9,16,8,13,7,9,9,17,15,6,11,11,10,7,10,11,12,19,17,9,13,9,11,4,14,11,11,9,17,8,9,8,8,12,12,10,6,8,10,7,13,9,15,14,13,9,14,11,16,8,5,12,8,18,19,12,12,6,14,10,10,12,11,9,9,9,11,18,9,17,11,12,11,10,14,10,14,9,12,7,19,15,12,6,13,16,14,12,10,15,10,12,7,13,13,9,10,10,12,10,13,14,9,8,9,8,11,9,10,8,9,14,10,10,5,15,16,11,8,13,12,17,11,7,14,11,12,11,11,21,13,10,10,11,13,10,8,19,10,12,11,10,7,8,14,9,8,10,13,10,9,10,8,4,9,13,10,11,9,10,9,13,11,8,13,14,17,2,4,11,21,12,12,12,11,9,16,8,17,16,12,12,16,12,9,10,11,5,13,10,11,18,10,15,11,16,7,8,12,8,14,11,6,7,10,10,12,13,5,12,14,13,11,11,11,7,16,15,15,11,6,10,11,12,15,13,12,12,7,10,10,13,11,18,12,7,17,7,13,9,10,8,14,3,13
9,15,8,10,9,19,13,12,11,15,15,6,14,7,6,14,12,18,16,7,10,12,16,12,8,10,13,7,11,14,14,21,6,8,14,6,7,9,15,14,10,14,11,10,13,17,15,10,8,8,13,15,11,14,13,13,13,9,8,18,8,13,9,9,8,14,6,8,8,10,10,8,11,6,15,7,18,6,11,10,12,10,12,12,11,7,8,11,9,13,15,11,11,13,6,12,12,11,16,10,14,13,15,11,14,13,11,10,14,8,13,9,7,11,6,8,8,12,18,10,15,12,7,9,7,16,5,12,7,16,8,12,13,11,10,10,12,18,14,9,9,4,11,13,13,15,12,10,14,10,14,17,11,10,11,9,12,8,15,12,7,11,11,11,12,9,5,7,17,8,12,13,8,8,6,10,10,12,8,13,14,8,8,7,12,7,10,13,13,16,15,19,7,10,10,15,8,20,14,17,20,9,11,11,12,11,12,10,12,7,10,13,15,12,9,9,7,14,9,11,9,15,14,12,13,14,15,9,8,16,13,12,15,9,10,9,15,9,10,11,12,14,12,9,11,9,6,7,9,17,7,11,10,9,13,7
12,13,6,14,9,9,15,6,8,6,10,6,11,12,12,17,16,14,13,13,9,10,14,9,12,12,14,17,11,13,14,6,10,6,13,11,14,8,14,21,7,10,12,8,14,12,13,15,11,10,12,14,11,14,12,12,10,10,11,7,9,12,14,11,16,19,9,10,7,3,11,14,12,10,17,15,17,9,7,9,16,17,6,8,11,9,10,12,9,9,10,12,13,13,10,10,17,9,14,19,9,15,8,15,17,8,13,13,14,7,9,8,10,14,17,12,13,12,10,8,10,8,10,10,9,7,12,11,13,9,17,11,11,10,18,11,12,10,10,5,8,10,12,11,11,10,9,14,16,16,6,14,6,20,13,8,5,10,5,10,14,13,8,11,12,16,5,8,12,6,16,9,10,13,11,11,15,14,16,16,9,12,12,10,12,13,16,7,10,15,10,11,10,13,6,8,17,13,16,13,11,15,14,9,8,19,13,13,12,15,11,8,12,14,16,12,11,14,13,9,3,8,13,8,17,15,10,14,8,13,9,7,15,18,12,10,8,14,10,12,12,15,6,15,8,12,5,11,13,10,17,4,16,12,16,8
11,10,11,8,12,9,14,11,14,10,13,10,8,8,10,13,5,6,17,14,9,15,8,10,13,15,11,10,11,11,10,8,11,7,14,4,5,15,6,11,18,19,10,8,9,8,13,9,13,6,10,8,5,16,17,16,18,16,11,11,10,11,9,11,14,13,6,9,6,12,9,11,6,8,5,7,15,13,13,18,12,6,6,11,15,11,15,16,9,9,6,10,16,12,9,10,10,15,8,9,12,15,4,13,10,9,9,18,17,12,10,10,14,10,11,11,13,13,8,13,11,5,8,10,8,9,8,7,13,9,8,13,14,10,18,14,10,13,10,8,13,9,9,11,6,8,7,9,10,14,9,5,14,10,16,11,15,4,11,14,11,8,14,15,8,8,11,10,13,13,8,11,15,10,17,15,15,7,13,7,8,10,9,6,10,11,14,10,12,9,9,10,11,8,18,11,12,18,6,12,13,14,18,9,11,15,9,17,12,14,17,9,12,16,10,6,13,12,10,12,12,11,7,10,10,9,15,16,16,8,11,10,9,10,18,7,12,11,22,13,13,8,8,12,7,11,8,5,16,8,15,12,10,16,13,11
7,9,11,15,10,13,9,10,12,12,16,9,12,12,9,10,14,8,12,9,7,19,7,15,7,8,13,11,12,7,11,14,10,11,15,11,7,13,11,17,10,9,17,13,14,12,12,11,6,8,8,14,9,9,7,13,13,8,14,14,13,13,15,10,10,11,10,9,16,11,12,9,9,13,10,10,8,10,12,9,8,10,11,12,9,6,9,6,10,8,11,14,12,9,12,11,11,7,17,6,12,11,8,16,13,16,12,14,10,10,11,12,12,11,10,8,6,15,11,13,15,4,8,8,14,9,10,10,13,13,8,11,11,10,8,10,10,5,11,15,14,8,11,13,17,17,11,14,16,12,13,13,6,7,19,13,13,8,11,8,15,7,14,11,19,13,12,12,14,7,2,9,10,10,15,12,13,7,13,8,13,12,13,13,13,9,15,9,11,8,10,16,11,11,17,7,13,15,7,12,17,17,16,10,13,8,9,14,11,12,10,9,11,7,12,17,11,7,14,7,14,5,8,11,12,14,11,13,11,4,17,14,11,13,9,7,13,9,10,16,16,10,5,8,12,22,10,8,10,9,10,11,8,8,17,13
12,7,14,10,11,12,10,12,9,10,12,16,13,9,15,10,11,7,6,12,9,11,13,7,16,9,14,10,18,14,6,13,12,10,12,11,18,9,12,4,19,13,10,12,13,15,11,12,12,10,13,10,6,7,10,11,10,21,11,9,15,12,13,18,10,7,13,8,7,8,11,9,15,8,9,15,11,6,11,8,11,13,8,5,12,9,10,12,9,3,9,8,13,16,10,11,6,8,11,11,14,17,11,16,11,14,18,9,14,15,10,14,11,10,13,11,11,19,6,20,13,7,12,12,10,5,16,12,9,9,13,10,13,11,7,13,9,13,5,12,9,7,9,11,15,11,7,9,10,9,7,16,11,10,10,8,9,9,15,11,10,17,14,13,11,18,9,14,14,12,8,10,15,10,8,14,20,10,11,6,13,9,17,8,14,6,7,16,11,12,10,10,10,13,16,8,8,13,9,15,13,9,7,13,17,10,10,12,13,18,16,8,12,9,20,11,16,11,11,12,12,15,14,7,6,12,10,11,18,18,7,13,10,8,10,10,9,9,14,12,14,15,9,15,6,8,7,6,18,14,11,15,9,11,10,17
6,8,8,14,11,11,12,12,9,8,6,6,17,9,12,13,12,11,12,12,13,16,12,12,10,5,13,16,11,16,5,13,11,5,17,11,11,8,11,9,8,16,10,16,6,8,7,7,12,14,12,12,11,14,9,18,12,9,12,11,4,13,10,14,10,12,4,15,13,9,12,11,15,6,13,8,10,15,18,7,10,11,13,15,8,10,17,17,13,15,10,6,8,15,9,8,11,7,19,10,10,14,6,5,10,4,5,10,13,9,9,12,12,10,20,8,9,10,14,15,9,12,15,16,15,9,10,12,10,8,10,8,12,15,11,14,8,11,12,13,8,9,8,11,9,8,8,10,16,7,9,13,16,6,7,13,15,10,9,18,9,10,8,10,11,8,9,15,11,8,11,9,6,14,15,9,4,7,10,14,12,10,13,15,6,11,13,19,6,13,13,14,11,10,9,12,12,13,14,15,14,11,8,16,7,9,13,10,12,19,14,15,18,7,11,12,8,13,10,13,7,16,13,18,5,9,14,9,12,5,9,5,17,12,7,6,12,11,10,11,20,10,7,7,13,14,8,10,8,12,16,5,15,15,13,18
8,17,11,11,14,10,18,7,17,16,12,11,12,15,17,16,5,5,14,9,10,15,8,15,11,11,7,13,13,11,10,7,11,10,8,8,10,6,14,11,17,12,10,11,14,9,14,14,13,6,13,10,11,10,11,7,15,13,11,9,14,10,12,14,14,5,7,11,6,12,8,9,12,15,8,6,12,13,8,11,14,14,8,8,11,7,12,8,10,12,8,10,7,5,17,9,12,14,11,15,7,13,19,10,12,11,9,9,9,19,12,8,15,10,13,11,9,7,11,13,8,15,9,15,22,9,9,10,13,12,13,12,17,13,10,5,7,8,9,15,13,13,10,16,13,13,12,9,9,9,8,9,15,13,5,8,10,5,8,8,10,11,10,11,9,11,14,12,13,8,11,10,10,7,17,6,11,10,9,12,8,11,12,14,18,17,19,14,12,9,9,7,9,10,13,13,6,12,6,9,12,10,18,8,11,8,11,13,9,9,20,18,8,12,15,8,14,10,9,12,12,11,4,10,12,13,13,9,16,12,11,12,6,12,14,10,8,6,8,13,20,14,9,14,13,9,9,10,13,25,13,9,11,12,12,14
11,12,13,7,22,10,13,14,10,18,17,14,14,10,11,14,13,9,8,10,8,11,12,6,13,6,12,9,11,14,11,14,8,17,12,19,11,13,11,16,15,16,16,11,13,6,9,8,6,16,10,4,15,6,12,17,16,15,16,17,16,18,4,10,13,12,17,13,5,6,16,11,10,12,11,5,9,10,12,13,8,10,12,7,10,9,11,9,15,10,6,12,12,12,7,12,12,11,10,12,8,5,9,15,13,9,16,13,7,15,12,10,13,16,12,14,8,11,8,11,12,20,6,10,15,5,16,8,13,11,7,16,14,7,10,16,10,13,13,10,11,11,10,8,16,6,18,14,5,4,8,14,11,8,12,9,9,10,12,8,10,13,7,12,10,7,14,17,12,7,23,6,12,10,12,12,7,12,12,13,11,8,8,11,12,17,11,9,10,12,8,11,13,10,9,6,8,12,14,12,12,15,17,7,9,14,13,10,7,9,13,12,7,15,5,10,10,10,14,10,15,12,12,12,13,12,8,12,9,7,10,18,15,11,8,9,13,9,8,9,8,15,8,3,18,7,17,11,15,10,12,14,13,15,8,14
13,8,9,16,13,12,5,15,12,11,14,14,16,11,7,11,17,13,16,12,9,17,7,10,8,10,12,8,7,8,13,11,10,13,12,14,8,14,16,11,11,6,15,7,11,12,16,10,16,11,10,18,10,12,9,17,15,18,12,15,16,11,12,13,8,12,4,7,11,7,8,24,17,11,10,13,15,11,12,9,11,11,12,17,15,8,16,10,12,11,10,12,11,15,6,15,14,7,4,13,10,6,12,11,14,12,11,10,15,9,10,9,7,8,8,10,8,12,10,10,12,6,13,13,18,15,10,15,11,10,7,18,14,9,13,11,13,4,3,13,8,13,17,11,8,7,7,11,7,13,13,14,14,4,15,14,11,11,17,13,12,13,10,9,6,19,11,8,12,9,12,13,9,17,8,13,11,16,13,15,9,18,9,5,18,9,8,8,8,5,11,11,9,6,13,5,6,16,18,10,17,12,11,10,11,10,11,7,14,14,12,9,11,3,14,13,15,13,9,12,15,10,13,10,11,9,16,12,7,7,13,24,12,11,4,7,13,16,19,12,13,12,13,10,15,13,11,10,17,10,17,9,12,21,19,9
14,11,15,12,14,10,9,9,10,11,10,13,11,11,12,11,8,15,14,13,14,11,12,13,9,10,10,7,14,17,9,7,11,14,14,17,7,8,5,10,11,19,12,10,12,8,5,14,11,14,9,6,8,15,11,7,13,17,9,21,14,14,13,4,6,16,10,12,12,12,13,11,8,15,15,11,11,15,14,10,9,12,9,8,12,10,7,13,19,23,18,11,11,11,10,12,19,15,10,13,8,9,7,9,11,15,13,13,10,6,9,9,11,10,13,11,8,10,12,8,13,6,9,11,18,14,12,17,10,11,10,15,6,8,9,9,9,13,18,11,8,13,8,17,10,8,11,13,15,12,13,8,11,9,8,6,9,7,11,8,9,12,10,7,9,12,8,9,11,9,12,12,13,7,9,18,9,17,8,14,18,10,15,11,9,7,6,12,6,11,11,7,6,11,6,13,12,9,6,9,15,6,14,14,11,14,7,11,6,11,9,16,15,12,9,12,11,8,7,9,13,17,7,14,8,11,12,13,12,18,13,7,12,10,12,15,8,13,15,13,9,12,15,13,11,18,9,10,9,16,14,8,7,12,13,14
11,11,5,6,16,13,7,16,16,4,13,17,11,13,17,8,9,12,11,11,11,12,9,14,15,7,9,6,12,9,17,10,11,14,10,8,5,9,11,13,10,12,12,11,9,6,15,8,14,9,12,19,9,16,12,7,15,13,10,10,17,11,4,13,9,10,11,10,8,7,13,15,18,13,11,13,5,10,12,8,18,11,7,15,8,12,9,17,14,13,14,10,19,9,11,6,6,9,9,9,10,7,8,11,10,11,8,8,9,12,6,8,9,18,15,9,11,13,12,12,11,11,7,9,8,9,11,9,16,11,17,10,9,12,10,13,16,15,15,14,12,3,6,15,8,13,9,10,9,11,10,9,11,13,15,7,8,10,12,8,11,16,9,9,14,13,9,5,14,9,8,13,13,13,17,7,7,15,14,11,12,12,18,10,12,12,11,13,13,15,14,14,11,14,10,9,14,12,13,14,8,13,11,8,8,10,11,8,12,15,14,10,9,7,13,7,11,12,13,4,7,11,12,14,13,11,9,7,8,10,11,15,8,11,11,10,7,6,16,13,8,13,15,10,16,6,12,11,11,6,12,8,12,7,13,8
7,10,15,8,10,13,7,14,12,14,14,12,19,8,9,12,16,17,6,11,11,19,14,12,6,17,13,7,12,13,16,5,13,18,7,9,7,12,10,10,16,22,14,8,13,6,9,10,11,7,14,12,16,10,14,12,16,11,15,12,10,21,13,11,16,14,13,19,16,7,16,15,13,4,12,9,13,11,13,12,10,10,10,6,13,7,14,15,10,8,12,18,11,18,12,21,14,10,7,11,10,14,6,8,12,14,10,7,12,14,13,18,13,11,8,17,13,6,11,12,12,6,11,14,6,11,8,14,16,14,11,19,9,11,17,11,15,12,7,15,12,6,12,17,14,9,9,13,7,12,10,12,9,12,13,19,6,11,12,9,6,9,9,15,13,15,12,16,7,9,14,7,16,15,10,14,18,14,6,10,7,12,10,12,10,4,16,12,9,11,7,11,18,11,9,12,11,17,14,10,15,15,19,10,9,12,10,12,14,13,10,12,11,9,9,8,14,12,13,9,12,9,12,8,9,4,12,16,14,15,12,11,11,7,6,11,5,8,17,10,15,11,5,15,6,10,15,6,12,9,22,10,11,7,7,9
9,10,13,12,11,14,11,13,7,13,13,20,19,7,13,14,14,18,9,10,14,15,11,9,8,13,14,10,15,14,13,12,12,10,13,14,20,12,17,11,11,9,13,17,9,8,11,11,11,14,10,11,8,7,12,7,10,15,7,17,13,12,16,15,9,11,13,13,16,16,9,12,11,11,16,12,15,7,11,12,16,10,14,10,14,14,8,5,9,12,13,12,10,8,7,12,9,14,10,11,10,9,6,15,11,9,8,7,13,9,7,9,9,13,4,9,10,10,10,10,10,7,13,8,11,11,14,14,7,10,11,14,12,7,19,13,11,16,16,14,12,9,9,13,12,17,13,13,15,10,7,16,12,14,9,17,11,10,18,10,14,10,9,14,9,14,7,9,12,9,15,11,10,6,16,12,11,10,17,19,9,13,13,11,13,12,15,12,13,15,9,15,14,8,20,14,15,12,17,14,10,9,14,13,15,7,3,5,8,10,12,15,12,7,15,8,12,15,15,9,13,14,11,8,5,13,11,11,7,10,10,9,11,15,6,9,14,13,10,11,17,14,8,10,13,16,4,6,8,10,15,15,11,18,12,11
15,10,11,10,14,7,11,8,10,16,9,12,6,14,15,11,13,13,10,14,8,13,18,13,8,11,10,14,16,8,10,8,9,7,14,14,4,16,11,11,10,14,17,17,11,9,7,11,17,14,11,8,10,12,15,21,7,13,6,17,11,13,9,11,10,7,9,10,12,12,10,11,11,13,15,6,8,7,14,17,13,5,15,9,7,9,12,10,12,13,10,10,10,10,5,10,8,9,11,14,11,11,14,9,6,8,12,11,11,15,10,7,11,9,13,10,6,15,9,13,10,10,8,15,13,9,11,7,9,5,6,7,11,11,17,12,8,11,6,12,13,8,12,10,12,9,7,17,12,11,12,7,14,11,7,14,9,11,11,15,12,13,12,11,6,9,11,6,10,10,8,12,11,9,19,10,9,15,4,16,12,11,10,20,15,10,15,10,7,7,14,13,12,12,12,13,13,15,21,11,13,12,14,13,11,7,14,13,15,7,9,9,8,16,5,13,9,16,9,13,7,10,12,9,18,11,13,8,14,14,15,11,13,13,11,8,11,9,6,13,8,16,12,12,9,10,13,9,14,14,11,16,10,10,8,15
7,13,7,14,14,7,7,10,10,14,12,7,7,10,12,11,15,14,14,10,6,14,10,13,10,8,8,13,10,10,12,7,14,12,12,13,12,7,17,6,19,10,9,8,7,10,9,11,9,16,10,15,13,10,13,10,12,7,9,14,16,9,9,7,9,15,13,13,15,9,13,9,10,10,8,9,7,9,15,13,11,13,10,13,17,10,8,11,15,22,13,11,15,15,13,13,6,13,13,12,10,11,8,13,8,18,13,11,4,6,10,11,12,16,17,15,15,6,11,14,9,12,6,16,13,8,10,8,11,14,6,5,17,12,13,13,13,10,10,12,11,12,15,16,10,5,11,11,17,10,18,15,6,13,15,4,14,11,12,11,14,13,17,10,10,16,8,17,11,14,11,3,10,11,13,7,13,15,7,10,13,12,14,16,11,2,10,17,12,5,15,10,4,10,15,8,12,6,7,14,15,9,11,11,11,18,17,8,11,12,8,13,7,10,8,10,10,11,6,11,14,13,8,10,8,13,11,8,8,7,15,9,15,14,9,15,14,7,8,13,14,6,14,10,7,12,16,17,9,17,13,17,15,16,14,12
4,7,12,16,15,5,11,8,7,12,11,10,6,8,10,15,7,4,15,9,12,13,5,9,11,13,10,15,8,13,13,9,9,12,8,22,8,7,13,14,9,7,8,10,6,11,11,8,5,10,14,14,12,15,17,10,12,19,11,9,9,10,13,13,15,4,14,16,12,17,13,6,15,14,13,10,16,12,9,7,20,10,8,12,13,9,12,18,13,8,12,6,6,14,6,11,3,4,6,10,13,9,9,11,13,5,12,10,10,12,19,9,12,5,17,8,19,13,8,14,10,11,15,12,4,12,19,8,13,15,13,8,8,10,16,10,17,18,13,10,16,7,17,19,10,23,8,13,7,13,12,13,8,10,11,14,13,15,13,12,13,10,8,11,10,7,11,10,18,11,15,11,10,7,8,7,9,14,10,12,17,8,13,14,7,10,8,14,9,11,13,12,9,10,19,9,9,19,7,5,19,12,17,4,12,10,8,12,5,11,13,13,10,11,12,4,7,15,7,14,10,10,9,12,9,18,14,7,11,13,10,12,9,12,13,13,8,9,13,7,9,14,10,11,11,12,14,8,8,13,11,20,15,14,10,9
4,16,13,7,11,13,11,7,8,16,11,10,12,6,18,8,7,15,5,12,12,17,8,8,11,21,13,4,15,9,10,13,13,12,12,12,13,9,9,14,22,14,8,11,8,11,12,12,19,9,6,5,11,10,11,12,10,12,9,9,10,8,13,9,13,12,7,12,10,12,4,13,13,22,10,10,12,11,9,20,9,16,15,13,10,19,9,11,14,7,11,9,10,6,14,13,13,19,12,12,9,6,10,4,13,8,7,6,2,12,9,11,4,8,7,14,14,12,11,8,10,9,7,13,7,15,10,9,10,17,20,9,5,10,13,12,10,11,17,10,10,13,8,11,10,15,12,13,12,14,14,15,13,13,11,10,12,12,12,12,9,7,10,9,13,4,7,14,6,18,22,12,16,9,11,11,6,10,7,11,12,15,16,13,11,6,13,21,14,10,7,12,12,8,13,11,16,9,13,13,8,14,8,11,11,15,15,13,6,11,14,10,10,8,9,9,5,5,7,8,9,6,15,10,12,13,17,9,12,11,5,12,10,9,8,9,13,11,11,8,15,8,14,6,10,14,17,13,8,13,15,11,10,10,6,12
17,11,19,19,11,6,12,14,15,9,14,11,13,15,12,11,13,14,9,13,11,5,13,11,19,14,12,14,14,11,9,14,8,8,10,10,9,16,11,5,20,11,15,10,11,11,8,9,16,9,9,10,16,9,3,20,10,11,13,15,11,8,10,16,12,8,13,11,7,10,15,15,10,10,11,13,12,10,11,16,11,11,16,15,12,10,12,8,20,14,12,10,12,10,14,16,12,18,17,11,6,12,13,12,11,16,17,8,13,10,11,11,8,13,8,10,12,10,16,17,10,11,7,10,21,4,11,9,12,12,13,17,10,5,14,9,20,14,12,8,7,9,9,15,10,14,13,12,18,9,17,7,10,6,13,12,12,13,11,8,10,17,10,6,9,13,12,9,4,13,10,11,11,10,13,12,8,6,9,9,12,15,6,12,10,8,13,11,13,8,10,11,7,12,8,5,12,11,10,13,9,10,9,12,9,13,14,7,13,16,9,11,7,9,7,7,11,8,12,7,11,14,15,11,15,12,10,8,14,8,12,13,8,10,11,13,18,9,14,10,13,19,15,16,10,10,8,14,8,10,6,9,11,7,16,8
10,7,9,11,10,12,10,7,8,15,6,18,7,13,11,10,10,7,11,15,12,8,13,12,7,9,6,7,6,15,14,15,12,14,12,12,23,10,16,11,7,11,11,8,14,7,12,11,9,10,14,14,10,13,16,9,12,13,8,10,16,11,13,13,9,10,9,8,7,11,12,8,5,8,13,14,6,13,10,18,13,14,16,10,13,7,11,13,10,9,13,10,15,15,13,15,17,7,13,10,10,13,8,12,11,15,10,14,13,10,13,10,14,6,13,8,13,12,16,11,5,18,14,10,16,11,18,11,10,12,9,9,13,4,9,10,8,12,11,8,15,14,10,13,15,5,12,5,18,11,8,15,14,13,13,11,17,14,9,13,9,11,12,10,11,12,7,7,9,6,6,15,13,8,9,16,8,4,20,11,12,13,12,10,14,13,11,11,8,9,15,15,8,10,10,11,10,12,11,17,20,12,15,15,11,7,15,15,13,11,9,12,9,10,8,22,10,7,12,14,11,8,8,10,13,14,8,15,6,17,8,8,12,5,12,14,9,14,5,11,13,12,20,13,16,15,17,8,12,11,17,12,13,14,18,13
5,14,5,9,7,16,11,7,9,10,11,12,7,11,15,7,9,12,14,15,16,7,8,17,15,11,10,13,15,19,15,16,9,11,10,9,8,7,8,11,13,11,14,11,11,16,17,6,11,5,12,9,9,11,13,12,14,13,13,8,7,13,17,7,9,11,10,16,6,12,12,12,9,11,6,6,8,12,10,14,15,9,7,14,15,13,13,17,11,14,10,6,12,7,10,9,9,10,12,12,14,13,11,15,13,2,11,9,11,11,8,8,12,9,11,10,16,12,8,8,13,15,14,11,17,15,13,7,13,6,13,7,13,8,13,8,9,10,16,10,7,10,11,11,10,9,16,13,13,12,11,14,6,15,11,8,8,9,9,11,20,11,12,10,15,9,13,14,10,16,10,5,10,15,12,9,18,13,14,12,18,8,10,13,9,10,11,13,4,9,14,9,7,9,7,8,7,7,9,8,12,15,13,21,10,14,7,10,9,7,13,10,9,10,7,12,12,13,9,10,7,7,9,10,14,10,10,10,16,10,15,12,9,17,10,11,11,10,14,14,15,10,10,5,13,10,14,13,8,12,15,13,15,12,14,12
14,9,10,7,12,8,11,10,11,12,6,9,11,9,9,9,11,10,7,15,12,12,5,12,6,10,6,15,12,11,11,5,14,14,9,14,9,16,9,5,12,13,12,10,7,5,3,10,7,11,5,15,14,11,16,11,10,11,10,18,9,13,17,10,6,5,9,9,9,12,15,7,14,7,19,12,21,7,11,12,15,14,11,17,13,12,12,7,8,10,5,16,5,7,9,12,14,8,16,8,19,7,7,14,13,13,7,7,15,14,9,7,11,16,11,11,5,11,10,5,7,17,7,8,9,10,11,9,7,11,7,9,8,14,18,9,10,8,13,12,13,7,12,19,20,9,18,14,6,7,16,20,7,18,19,11,10,12,13,13,13,7,14,12,14,6,12,8,14,10,15,12,8,10,12,11,21,13,11,8,12,14,13,8,14,16,12,10,6,7,9,9,8,12,11,7,14,9,10,15,18,12,9,10,17,11,12,3,11,18,8,10,17,12,8,13,6,12,7,14,17,6,14,9,7,20,13,4,16,12,7,9,5,7,7,7,13,23,12,8,10,15,11,8,7,15,13,11,13,12,14,9,8,10,10,20
15,7,10,11,7,12,9,17,9,14,14,9,10,8,13,16,14,11,12,10,17,15,15,7,12,17,10,3,15,10,12,9,12,9,14,5,11,7,18,6,13,11,9,9,10,17,12,10,9,9,9,14,5,12,8,18,8,10,15,12,9,7,8,10,12,14,9,9,12,15,14,8,13,12,12,10,15,11,19,10,7,6,11,11,14,8,15,9,9,10,16,9,9,14,4,16,13,11,10,13,9,8,8,10,11,5,16,12,13,13,9,12,13,5,10,9,13,11,9,9,10,14,8,9,10,13,15,19,17,6,12,13,9,11,11,14,15,12,10,8,15,13,7,20,8,5,20,14,10,14,12,12,13,9,12,13,17,16,9,11,7,8,13,17,12,9,16,9,8,7,6,10,12,12,7,11,9,15,14,8,11,13,11,5,7,14,13,12,11,13,10,4,14,9,10,11,6,16,12,16,16,5,7,10,14,4,14,7,7,7,11,15,12,9,17,12,8,11,18,12,8,9,10,9,12,16,14,12,17,16,13,16,11,6,9,14,6,10,10,9,12,9,12,7,11,14,12,10,11,15,9,8,15,10,12,13
9,10,10,7,9,15,10,7,6,11,9,15,15,15,11,14,7,10,7,14,8,12,13,9,10,13,10,11,8,12,9,12,13,17,17,14,9,12,16,11,12,7,13,10,19,17,12,14,12,10,13,13,7,6,9,9,7,15,14,5,18,18,9,11,8,11,12,6,5,8,18,9,10,10,14,16,9,12,11,8,7,11,8,10,8,16,11,19,12,14,12,5,10,10,9,13,10,12,11,8,13,16,12,10,13,13,15,17,15,11,15,13,8,5,4,8,12,13,17,8,6,9,10,12,12,14,11,7,15,10,8,12,8,11,12,8,11,13,12,5,12,10,14,7,12,15,10,15,12,11,11,13,7,15,7,17,11,16,11,13,18,19,20,14,11,19,14,8,11,12,14,9,9,16,10,13,13,14,14,4,10,22,11,18,11,10,17,15,11,10,12,8,12,10,7,9,12,14,6,12,4,7,12,7,18,8,15,12,10,9,9,7,14,14,13,13,12,13,16,9,16,9,10,8,14,15,7,17,17,20,8,9,13,9,18,9,14,9,10,12,6,11,7,11,13,7,10,12,18,13,6,11,10,10,12,9
7,15,14,16,10,9,11,12,12,8,10,7,8,10,8,11,9,5,10,7,14,6,9,12,12,9,4,10,10,10,17,12,12,9,11,13,20,10,14,12,13,17,12,14,11,11,13,9,13,14,9,11,9,8,8,7,12,14,13,9,13,16,6,11,14,6,13,17,9,7,17,12,14,12,11,9,8,13,10,8,9,9,14,20,13,9,10,13,15,7,13,10,9,10,12,7,8,10,7,7,10,15,12,10,18,9,12,7,10,14,6,11,11,13,6,2,17,16,14,16,13,10,13,10,7,10,11,8,17,10,10,10,9,12,6,11,9,10,8,13,9,10,17,11,6,13,13,9,19,14,12,9,8,19,16,12,7,12,9,8,16,14,9,4,14,9,13,12,6,10,5,11,11,7,13,15,10,7,13,7,9,9,13,11,15,9,5,7,13,14,15,12,12,9,7,10,12,11,11,7,8,15,13,16,6,9,8,8,14,11,11,16,10,12,16,12,20,5,10,11,10,13,11,10,14,9,14,10,6,8,17,12,12,12,18,14,8,4,17,8,7,10,14,12,6,10,6,8,15,16,10,6,13,7,12,6
13,12,13,13,11,7,6,16,7,18,6,12,9,12,15,10,5,13,8,13,9,9,14,9,10,8,8,14,9,13,13,15,13,8,13,10,10,12,17,12,11,13,10,16,9,10,12,14,13,11,8,13,9,14,10,9,9,8,16,17,14,12,5,12,18,12,9,11,11,10,12,4,11,12,9,13,11,7,9,11,16,11,7,8,13,5,9,13,12,19,18,9,12,3,8,6,7,12,7,5,14,9,11,5,10,11,15,16,16,9,15,23,8,9,10,18,13,8,9,8,16,7,15,10,15,18,8,9,9,14,11,14,14,10,8,10,14,12,14,12,13,14,11,7,15,7,9,8,9,11,8,10,11,12,8,11,4,16,8,15,14,5,8,14,12,15,12,4,9,10,11,12,15,7,13,8,8,7,19,14,8,9,13,10,6,12,12,8,15,16,12,11,9,13,12,14,14,13,15,14,16,7,11,9,8,11,8,7,7,10,5,15,10,16,14,8,15,10,10,11,16,4,9,8,11,12,12,4,11,14,7,10,21,18,12,9,8,12,11,5,12,12,15,14,7,14,15,12,12,12,16,9,11,19,10,10
16,11,10,15,11,14,8,13,10,16,10,19,12,9,12,9,15,11,16,16,18,8,13,9,14,20,12,10,6,14,14,17,13,10,13,15,15,16,20,7,10,6,10,9,6,4,15,15,9,11,20,15,6,9,8,7,12,12,14,11,11,9,11,12,7,9,9,14,9,12,12,13,15,13,8,10,9,15,9,9,5,9,13,10,9,7,10,6,13,11,6,9,13,11,10,7,10,8,10,10,6,7,12,9,11,13,17,19,9,10,6,10,12,10,9,8,16,12,16,8,7,10,11,11,8,8,8,9,9,8,10,11,14,11,10,14,11,13,16,8,18,12,11,7,13,5,15,17,10,7,9,9,9,10,10,14,7,6,10,12,13,16,12,9,9,9,12,16,7,9,7,8,10,9,14,7,11,5,8,8,11,16,11,7,11,8,6,20,6,6,11,15,10,13,11,11,5,12,13,10,11,19,9,13,12,8,8,19,5,13,8,12,8,4,11,6,8,13,10,13,7,8,11,19,9,6,11,5,15,14,13,8,12,19,9,12,10,9,8,12,6,12,6,15,14,7,11,10,9,14,9,15,15,7,11,14
14,6,8,14,11,10,9,12,14,9,17,12,14,13,13,7,7,13,7,6,10,9,12,14,14,14,11,13,15,8,10,7,11,15,8,13,12,6,8,17,5,8,18,13,11,3,18,20,12,8,8,14,11,9,12,8,14,15,12,5,7,8,8,14,9,8,10,14,15,10,10,7,6,11,8,8,8,13,15,10,15,10,11,5,4,15,10,12,10,15,13,12,12,8,6,10,12,8,17,13,8,13,7,9,12,14,11,14,14,6,9,13,11,11,12,11,14,5,10,15,12,11,17,12,8,10,11,11,11,11,10,9,8,8,9,7,8,12,7,9,12,14,6,10,13,14,9,15,9,14,14,6,8,5,11,4,10,8,11,11,12,4,14,9,14,12,9,8,12,10,8,6,17,12,18,12,13,11,13,19,13,9,12,19,7,10,12,11,9,6,11,18,7,9,15,12,8,12,17,14,12,11,11,6,7,11,10,15,10,4,12,12,9,13,8,11,19,6,8,16,9,10,21,6,15,13,6,10,12,11,5,15,9,12,7,13,13,16,9,14,5,21,8,10,11,7,9,13,12,11,8,14,10,13,10,15
14,18,7,14,14,15,8,9,4,12,6,9,13,13,13,14,10,11,11,7,9,14,9,16,13,9,11,11,11,19,8,15,15,19,16,8,18,8,13,10,6,9,9,6,10,10,9,12,11,9,17,11,13,9,13,8,12,13,12,22,6,10,11,13,8,10,4,13,9,7,10,8,9,11,7,9,9,14,6,9,11,12,5,13,12,8,8,14,18,14,13,15,11,18,13,9,14,6,12,8,15,10,7,12,7,11,14,7,13,14,13,11,15,9,15,15,11,14,12,12,17,13,10,9,13,12,9,8,11,11,6,13,17,8,11,6,22,9,9,9,6,11,8,11,13,10,11,9,2,15,8,15,8,12,12,7,15,12,10,14,12,15,12,12,5,9,11,19,12,12,13,12,8,10,16,21,7,18,4,7,10,15,8,9,16,18,11,16,9,8,7,13,9,13,10,11,10,13,10,7,15,12,12,14,6,17,8,7,13,11,15,15,6,13,10,6,21,8,9,13,10,15,7,14,7,9,9,10,16,10,12,9,12,12,11,11,8,14,11,12,10,8,17,16,14,9,16,15,10,11,6,9,8,13,10,9
11,7,11,10,12,17,15,12,10,14,15,10,12,12,11,11,11,12,13,9,8,11,11,13,10,18,9,24,11,7,13,14,9,12,11,15,14,15,13,10,9,15,7,12,10,9,7,5,14,10,7,14,10,12,7,11,8,11,15,13,8,7,15,10,7,6,12,15,7,10,10,8,9,4,9,16,14,13,11,14,8,11,9,9,7,14,14,10,11,15,3,9,12,14,10,20,12,12,9,16,10,12,14,12,17,11,14,14,11,12,14,9,7,17,11,13,13,11,10,10,16,15,10,8,9,9,12,15,18,13,15,16,7,14,7,10,6,12,8,7,9,10,11,12,9,13,12,12,11,6,12,9,10,6,11,13,5,15,9,11,15,12,16,13,16,19,12,10,7,9,10,12,14,13,8,13,7,18,10,14,11,11,14,13,11,14,12,11,14,14,12,10,7,10,10,8,15,17,13,7,8,9,13,11,6,5,13,10,10,9,19,8,9,7,14,9,5,13,9,12,12,5,9,12,12,16,9,13,14,10,14,7,9,7,7,12,13,14,14,13,9,11,17,14,11,16,15,8,9,19,9,12,11,16,12,3
7,9,14,5,16,10,10,9,16,7,13,17,13,8,10,15,14,16,13,14,5,9,12,7,14,11,13,9,8,11,13,15,10,19,17,10,11,5,5,6,10,14,10,14,9,14,10,11,9,11,11,15,16,8,11,14,8,9,18,12,11,15,9,16,9,16,10,13,7,18,16,10,14,4,14,8,16,6,12,7,9,9,11,8,11,13,5,17,14,11,11,10,15,13,4,10,16,7,8,11,10,9,10,20,13,11,10,12,11,12,4,11,10,14,14,8,14,10,12,5,20,19,13,9,6,11,16,6,14,12,15,9,8,16,10,13,12,13,17,12,8,10,10,5,12,9,12,11,7,10,5,7,16,11,10,14,12,10,13,13,7,8,7,14,13,15,19,16,10,11,10,18,16,15,7,12,12,15,12,16,14,8,14,15,11,15,8,14,8,10,13,7,10,9,11,11,11,14,13,13,12,10,11,11,11,8,11,13,8,10,10,7,8,10,14,8,12,9,8,9,12,17,14,10,10,14,16,12,15,14,12,11,8,9,12,6,9,7,8,16,9,6,8,8,8,7,12,14,18,9,7,7,15,11,8,5
16,13,13,15,8,5,12,9,10,11,19,7,13,12,11,11,12,12,10,9,13,17,12,14,11,9,18,14,10,9,7,16,7,14,7,14,8,11,13,13,12,9,10,16,11,10,14,6,13,14,4,16,15,9,10,13,7,9,12,11,19,17,7,16,9,4,9,7,15,14,9,13,12,18,5,10,10,12,11,13,9,16,10,7,9,10,9,13,8,9,17,8,9,15,10,7,10,12,14,5,11,13,14,4,17,11,14,6,10,16,9,12,12,11,17,7,14,9,12,14,9,14,14,14,6,14,11,18,9,12,10,12,9,11,19,18,19,11,11,21,9,10,15,6,12,17,13,13,6,12,14,15,16,17,9,12,19,15,14,10,6,14,11,12,9,13,5,16,9,9,13,9,13,17,16,7,21,11,9,10,13,11,2,17,17,13,15,13,14,7,11,15,12,9,11,12,9,9,15,14,8,8,13,17,10,11,10,12,26,10,17,11,12,11,10,10,9,16,7,11,15,10,14,15,12,16,9,11,11,9,12,14,17,10,9,9,9,13,12,15,6,13,8,13,16,9,8,9,9,12,9,10,13,12,14,11
15,9,16,11,13,10,11,11,15,5,16,7,8,19,14,14,11,15,9,15,16,16,6,10,14,14,9,9,16,10,11,21,6,16,8,10,8,7,9,7,14,8,10,13,11,8,7,9,10,10,20,10,7,7,9,8,13,9,6,7,17,12,16,18,12,14,16,9,5,11,6,6,10,11,6,12,6,5,11,15,10,8,10,11,12,8,14,15,12,8,8,8,13,11,8,6,8,10,5,12,12,12,16,17,17,10,12,17,6,11,17,11,7,5,15,10,13,14,11,17,15,13,11,8,9,9,15,4,9,7,10,18,9,13,14,16,7,20,10,13,13,5,12,11,18,11,7,11,18,7,12,6,12,13,11,11,5,13,10,6,7,12,12,12,11,12,5,12,8,6,14,9,12,5,14,11,14,11,11,8,16,11,11,10,9,14,11,14,5,12,14,15,9,10,12,12,15,13,7,14,11,14,13,13,9,12,14,10,11,20,11,17,10,9,11,11,11,14,11,12,10,13,14,10,12,11,8,11,11,16,10,9,10,6,11,7,5,14,8,9,11,9,9,17,6,9,6,9,7,9,13,20,6,6,13,14
6,12,14,11,11,11,4,6,12,7,13,11,7,8,10,11,17,10,11,16,8,13,13,8,11,13,9,15,17,13,10,14,20,5,11,7,14,13,11,12,11,7,10,7,16,15,20,8,7,6,11,5,10,13,6,11,13,14,5,12,13,14,12,8,12,12,14,10,8,7,7,8,9,10,7,13,10,18,12,19,9,17,19,5,10,11,2,7,12,12,12,11,14,13,17,8,10,11,9,12,15,5,8,15,8,10,14,18,16,11,14,13,12,6,14,15,8,13,12,16,10,8,12,18,12,16,12,14,9,11,16,22,11,14,12,13,9,11,14,21,12,10,9,12,12,8,11,7,7,9,10,7,12,7,10,14,11,10,15,7,9,13,10,11,10,7,6,9,16,15,8,7,8,4,9,11,17,11,13,13,16,13,15,14,16,15,14,13,10,12,17,11,14,14,14,15,13,11,17,6,12,8,17,8,15,7,9,11,12,9,10,22,17,14,14,15,15,14,7,11,9,11,10,12,18,10,12,15,12,15,13,7,13,10,20,10,18,13,6,6,17,8,15,9,7,13,14,15,14,9,17,7,8,9,12,10
15,8,5,8,10,11,16,5,10,13,16,14,11,11,5,16,17,9,15,12,2,17,14,12,10,10,13,8,12,12,10,12,10,12,18,7,16,11,14,8,7,8,10,12,11,12,15,11,8,20,15,13,11,18,11,7,9,11,11,7,13,8,13,12,9,16,8,9,7,14,10,9,11,15,16,16,9,17,9,11,4,10,14,12,17,15,9,10,14,7,11,7,7,8,7,8,8,13,15,14,9,11,9,13,10,9,18,14,12,14,17,10,10,14,20,14,9,9,7,12,11,15,9,14,9,11,8,12,11,10,12,11,11,8,9,10,16,16,11,12,16,13,6,9,15,9,7,9,13,11,16,14,11,12,6,10,16,18,15,7,17,12,11,17,16,10,15,10,14,5,14,9,14,16,11,10,16,8,13,15,11,14,13,13,14,14,10,8,14,9,13,14,10,14,6,13,7,13,16,16,6,8,6,14,13,6,4,9,8,12,10,14,12,20,8,6,8,9,9,12,16,10,15,13,12,10,10,6,14,9,15,12,13,8,16,19,8,12,10,10,9,11,8,9,11,11,11,14,13,10,11,10,9,6,13,11
11,11,13,7,17,13,10,12,10,16,7,12,13,14,20,19,7,12,11,14,8,10,14,14,10,14,14,12,9,13,6,14,9,14,14,10,15,11,10,16,10,7,8,5,6,14,6,5,11,11,14,9,7,14,6,15,20,18,8,17,10,12,8,10,5,10,8,15,11,19,11,13,11,14,9,11,13,12,10,13,19,8,10,14,8,7,18,12,15,10,12,7,13,19,19,7,6,9,16,11,12,9,11,15,16,15,15,21,9,10,14,12,9,6,14,8,10,8,6,2,15,7,9,13,11,15,16,15,14,12,8,15,13,14,6,12,11,16,14,12,10,11,11,12,9,10,12,13,7,20,10,11,12,12,11,11,14,20,8,6,17,9,10,11,19,15,10,17,18,20,11,8,10,16,10,9,5,8,9,15,13,9,18,16,8,13,13,15,9,17,14,20,12,10,11,12,8,14,7,15,4,13,14,12,14,16,14,8,16,16,13,7,17,15,24,9,9,11,11,17,20,19,8,12,9,15,6,17,15,13,14,8,9,14,15,14,9,4,19,8,12,17,10,7,9,11,12,14,9,9,9,12,9,15,8,4
13,9,13,13,7,7,10,14,9,11,4,9,13,9,8,7,8,12,7,13,8,10,10,12,16,8,15,9,8,10,12,13,11,16,9,8,8,14,8,5,7,6,5,8,12,9,14,17,14,9,7,14,8,4,11,10,13,3,10,8,11,6,9,7,11,11,17,13,7,15,14,13,7,5,13,12,14,14,7,12,9,11,4,10,5,12,14,12,8,8,7,13,13,17,5,6,19,11,13,13,5,12,5,11,15,9,11,21,9,12,8,15,11,10,15,9,12,11,12,15,12,8,13,11,6,12,10,11,12,7,10,14,11,11,17,13,18,9,6,11,15,11,8,11,15,12,6,17,12,10,14,15,6,12,13,15,8,11,15,14,13,18,7,8,13,6,15,14,12,11,15,5,11,10,9,11,9,7,10,11,16,10,12,8,11,6,11,12,11,11,9,9,8,14,11,8,10,10,15,12,9,14,13,15,15,10,10,12,9,11,12,9,17,12,6,14,16,15,11,14,12,12,12,17,13,15,9,7,11,12,10,12,16,10,19,11,12,13,7,13,16,17,6,5,13,19,12,12,8,10,9,10,10,20,15,12
11,10,10,11,7,8,10,13,11,12,13,9,12,9,13,14,8,12,7,10,12,14,15,9,10,8,19,17,12,9,15,13,9,12,9,12,15,14,12,7,10,7,10,9,14,5,10,14,16,9,11,9,13,9,14,14,9,8,10,9,7,9,10,3,12,10,12,15,14,15,9,15,12,11,15,8,10,10,14,13,10,9,20,16,12,13,7,9,13,13,13,12,7,13,5,14,15,14,17,16,15,12,18,11,14,20,11,16,5,11,12,9,12,9,16,21,7,12,15,13,18,14,9,11,14,15,11,18,13,10,7,12,10,16,13,17,10,7,11,5,11,13,11,16,12,15,13,15,15,13,13,13,5,10,9,14,6,16,22,19,11,13,15,10,12,14,12,17,17,14,13,11,9,15,7,11,8,17,13,7,17,10,11,9,13,10,11,7,14,11,12,13,10,13,9,8,15,10,18,11,7,8,13,12,13,13,6,14,12,11,16,13,14,14,15,11,11,15,9,6,10,12,11,13,11,15,8,24,15,15,9,9,12,9,21,11,14,11,11,12,14,14,9,9,14,13,11,9,12,13,11,12,16,15,5,8
10,10,7,13,14,6,11,11,13,15,10,15,15,12,13,14,5,17,11,9,13,9,12,13,14,14,14,13,14,7,7,11,11,11,14,8,12,13,7,16,9,8,10,12,10,9,9,10,10,16,18,13,14,17,10,12,9,10,17,14,13,14,5,13,8,8,10,7,13,7,17,8,10,3,26,5,15,8,15,9,10,10,11,12,9,13,14,11,13,9,18,8,9,11,8,13,7,12,6,5,11,11,4,12,10,11,12,14,12,8,9,18,12,9,10,8,9,9,13,10,14,10,13,12,9,15,11,13,14,5,19,15,17,8,21,15,14,11,12,7,16,7,9,11,7,16,10,20,15,7,17,16,14,10,7,14,17,15,14,10,14,12,12,12,13,10,17,15,10,11,15,9,12,15,15,12,16,9,15,10,12,8,9,13,8,11,7,17,8,14,12,15,15,19,14,12,5,16,17,8,6,15,13,12,10,10,11,9,13,11,6,6,8,7,12,8,18,13,12,10,19,14,6,13,15,12,15,11,18,18,9,9,8,4,8,10,11,14,13,9,16,8,8,12,18,12,8,17,14,13,17,10,14,16,14,12
12,12,13,13,14,15,7,15,9,14,13,12,20,7,6,16,12,13,15,11,8,10,14,14,19,15,13,14,12,12,14,7,10,9,11,10,12,11,9,9,12,9,11,14,7,12,16,7,15,9,9,14,15,13,18,13,12,11,11,12,16,7,15,12,16,8,8,15,12,18,15,6,8,11,12,15,18,9,17,18,12,10,13,18,15,13,13,14,7,6,17,10,11,12,12,7,13,7,3,6,13,7,8,9,6,5,11,17,9,9,7,16,12,9,16,14,14,17,9,12,14,8,9,14,13,11,4,14,9,11,11,13,10,8,6,11,16,13,9,14,10,8,10,14,8,17,10,9,10,12,10,9,11,8,8,13,9,14,11,10,15,9,10,16,12,18,7,7,16,8,13,7,10,8,10,10,12,14,10,10,10,16,11,18,8,10,9,18,13,16,8,9,11,9,11,6,9,13,9,14,12,13,9,18,12,9,8,6,8,7,8,12,12,11,4,12,6,16,18,11,6,10,8,20,20,6,12,15,10,15,13,10,11,11,11,10,7,13,10,8,13,10,9,8,6,17,13,12,12,11,13,13,7,10,6,12
14,5,19,15,10,12,9,11,8,14,18,17,5,15,15,5,12,8,7,7,8,11,13,7,12,18,7,9,12,8,12,11,6,6,10,13,8,21,17,13,12,13,13,13,13,11,8,10,14,13,12,14,6,8,13,12,16,13,13,8,8,15,6,11,10,7,6,6,10,10,8,9,9,12,7,15,11,9,10,15,12,11,11,10,8,13,9,12,11,11,13,11,14,14,7,10,14,14,7,13,8,11,8,9,17,13,11,12,13,7,16,16,9,11,10,14,9,10,18,8,11,14,14,14,7,12,8,16,7,15,14,11,21,9,15,7,9,7,8,11,7,5,14,18,8,9,20,12,12,15,16,7,15,10,17,10,11,10,12,10,17,15,3,10,15,24,17,14,20,14,7,12,10,8,9,16,9,19,10,16,8,6,15,16,7,16,6,15,7,10,8,12,14,6,15,8,12,7,10,11,16,18,12,9,11,13,7,14,11,10,20,11,13,10,7,8,13,11,11,7,8,8,12,11,17,18,11,8,13,12,9,14,12,12,5,16,7,5,7,9,11,3,22,10,9,13,11,17,6,10,10,12,13,23,15,9
10,7,10,13,16,11,14,16,7,8,13,8,16,9,11,15,14,11,11,4,16,11,12,9,14,5,14,7,13,9,16,10,10,18,3,13,14,11,19,3,12,6,8,13,11,11,14,11,14,8,11,7,7,9,12,19,16,13,16,10,13,8,10,13,19,13,4,9,9,17,14,9,8,15,15,16,11,9,11,11,14,16,11,7,17,12,12,9,15,9,13,8,15,13,9,7,8,11,12,7,16,9,13,10,14,13,10,9,13,13,7,10,10,17,11,8,10,11,18,8,12,9,9,12,9,16,11,16,13,9,9,15,7,17,10,10,5,15,10,14,9,14,14,13,9,8,13,9,16,13,6,13,12,13,15,7,14,8,13,14,19,18,12,11,12,16,10,11,15,12,9,13,11,14,7,8,11,20,10,12,9,5,7,15,10,11,10,17,17,9,8,12,12,11,7,13,17,14,14,16,12,12,8,10,15,8,6,17,14,5,7,15,10,16,2,10,6,11,14,12,13,8,13,14,7,12,8,8,14,13,7,14,11,7,7,8,18,12,12,14,11,13,20,14,8,15,14,14,18,15,11,10,7,8,7,10
14,11,11,7,13,8,13,17,10,13,11,21,11,6,15,5,4,13,16,13,8,7,16,12,7,6,9,10,9,11,13,10,12,18,9,9,8,15,12,14,13,15,13,14,11,10,3,17,12,11,14,8,13,12,15,11,11,13,15,9,16,16,10,14,10,9,7,21,10,15,19,11,5,14,13,10,12,8,9,16,8,4,13,10,18,14,9,10,9,16,11,13,13,10,10,4,13,10,8,11,6,6,8,8,9,11,7,11,12,12,7,11,13,11,8,11,13,15,9,11,9,13,18,11,16,13,6,14,10,16,9,12,12,11,9,11,11,9,18,12,13,11,10,10,15,12,9,14,13,12,7,12,12,11,15,17,11,6,10,9,14,12,10,12,13,14,14,17,9,9,10,14,18,20,7,13,11,9,20,12,11,10,9,8,12,12,12,9,12,10,15,12,6,15,9,9,11,4,7,17,12,9,9,14,8,12,9,10,15,12,18,8,9,8,6,11,10,11,12,9,11,16,11,5,13,11,6,11,16,11,18,15,16,9,16,13,11,13,19,13,17,12,13,12,10,8,13,10,14,10,9,14,8,8,13,6
8,13,8,11,14,7,10,17,11,13,17,17,11,10,16,11,16,12,13,14,9,15,6,9,8,10,10,12,13,5,19,9,17,5,8,6,10,17,12,11,15,12,8,13,13,6,15,13,12,10,10,12,7,10,6,10,14,11,17,11,9,12,8,13,4,10,9,21,12,10,13,8,10,10,12,7,11,11,9,15,16,7,10,13,11,6,19,10,6,13,10,17,12,17,13,10,8,10,15,10,12,12,9,11,18,10,8,16,11,12,10,13,9,13,8,14,8,5,14,12,16,7,10,12,11,9,19,14,11,19,5,4,10,11,13,15,9,13,13,8,18,10,11,5,9,16,17,13,14,10,15,17,11,14,14,14,10,12,8,7,9,10,13,8,6,14,16,8,8,10,10,7,8,12,11,13,13,12,18,13,9,10,14,11,10,14,14,11,11,5,12,9,8,10,17,7,6,11,7,9,8,10,9,10,12,4,17,9,10,10,16,8,7,8,8,17,10,13,9,6,11,12,12,11,9,14,14,12,17,13,21,10,9,19,11,13,10,8,8,8,21,11,10,13,10,11,19,9,13,11,14,13,13,12,10,10
1 11 8 3 15 5 13 8 8 18 15 11 8 15 13 8 9 9 6 8 13 10 10 8 12 12 10 12 16 19 6 8 10 12 10 13 7 15 19 12 8 9 17 14 10 13 10 7 7 15 12 10 11 6 7 17 9 5 7 13 11 12 10 14 12 11 11 17 9 8 14 10 6 10 9 9 15 7 12 11 9 18 13 8 7 10 13 7 7 7 11 18 8 4 10 11 13 12 15 12 14 14 13 12 7 11 15 7 11 20 11 11 6 10 17 9 10 10 10 16 9 15 8 6 8 7 13 6 17 18 7 10 7 10 12 14 15 13 15 11 8 8 12 13 12 11 6 9 11 14 13 9 11 10 12 17 10 13 11 21 14 13 10 14 12 15 12 10 11 16 12 5 18 6 14 7 23 10 9 10 11 1 4 2 2 6 6 8 5 11 9 11 6 8 9 9 5 11 11 11 10 11 8 8 13 12 6 11 16 12 11 10 10 16 15 13 14 5 5 11 7 13 12 12 14 14 15 10 8 11 9 11 12 9 8 5 7 12 12 8 10 5 11 10 18 17 10 10 12 5 9 15 19 8 18 12 11
2 10 12 8 8 12 12 9 11 11 9 8 11 12 14 5 15 9 6 12 4 9 10 13 10 10 10 17 15 11 9 13 9 9 7 7 7 10 13 10 15 15 8 15 15 10 12 10 7 11 13 11 8 6 11 13 13 13 8 12 8 4 12 15 8 15 12 14 11 10 13 12 11 10 8 15 9 18 16 10 17 12 12 14 18 12 14 7 9 14 15 13 11 11 8 4 8 11 10 15 10 10 14 10 10 12 11 22 13 15 13 6 11 10 13 9 6 14 11 12 11 16 4 14 10 13 9 17 7 12 5 6 12 6 19 15 7 9 13 10 12 15 12 19 6 10 13 8 16 16 12 10 14 10 10 10 12 15 15 13 12 18 15 8 12 11 15 15 14 13 6 7 15 10 9 12 6 11 9 8 6 4 1 6 1 1 6 4 7 10 4 6 6 5 11 13 9 7 6 11 9 16 13 12 11 6 8 9 9 10 11 12 7 19 15 17 14 16 14 14 9 9 12 7 13 16 16 17 13 17 16 21 15 10 6 13 12 13 13 12 10 7 15 14 12 14 11 13 12 9 10 11 10 16 14 16 7
3 11 12 16 16 10 10 10 13 19 11 12 13 17 9 9 4 14 11 12 10 13 11 12 6 10 11 9 8 20 8 6 13 12 7 10 13 14 5 8 12 18 5 14 16 14 14 9 12 10 15 17 13 16 5 8 6 12 10 13 7 7 10 11 9 13 16 14 10 13 12 10 9 6 10 10 11 11 11 8 6 11 12 8 12 11 15 10 8 13 11 14 10 8 8 11 10 14 14 4 11 16 9 6 16 13 15 12 18 10 10 12 12 13 15 12 14 11 7 17 12 13 9 16 15 11 9 5 13 8 4 8 10 10 9 10 9 10 13 13 19 13 17 10 8 12 10 9 13 10 17 9 11 11 14 12 16 13 11 10 10 12 19 22 13 13 16 10 12 11 8 9 15 12 6 8 5 8 11 6 5 1 2 1 3 5 2 4 7 7 7 4 7 5 8 10 7 13 10 1 6 8 10 12 7 12 5 7 10 8 12 2 12 13 16 9 11 12 16 15 7 13 12 12 18 18 13 12 19 13 12 10 13 16 14 11 9 6 13 14 8 12 14 16 14 12 8 14 8 11 13 10 6 14 10 15 6
4 14 11 5 15 7 16 10 14 11 13 9 14 8 8 12 11 17 10 8 6 8 9 16 9 10 11 13 16 10 8 11 14 9 10 15 8 8 9 9 10 13 14 9 18 12 10 9 11 12 14 17 10 10 12 8 16 11 13 11 16 9 12 9 12 11 10 14 8 10 9 11 11 11 11 10 8 10 10 14 10 13 13 7 13 9 10 17 13 13 6 5 10 5 8 7 10 12 7 12 13 10 6 16 12 13 10 10 11 16 5 10 10 6 15 10 9 14 9 10 13 7 11 11 13 9 12 12 8 7 7 10 6 14 11 8 17 6 16 9 7 13 8 15 11 15 6 4 10 9 13 8 8 15 8 20 13 9 16 9 16 18 5 14 17 18 14 8 5 10 13 6 9 10 15 14 10 3 5 7 3 1 2 1 1 4 3 1 2 9 3 7 5 9 8 9 12 7 9 6 12 9 9 5 10 14 11 14 9 14 5 11 11 16 12 15 16 8 14 11 9 13 9 10 11 11 12 10 11 10 16 17 12 9 13 10 13 13 15 13 14 12 22 11 12 5 10 15 12 13 7 14 19 14 13 14 15
5 15 14 14 13 10 18 12 5 12 13 15 12 12 8 9 10 6 15 10 13 12 10 12 14 9 16 5 11 20 14 15 14 15 9 14 14 11 9 12 11 7 14 4 11 16 12 13 15 14 11 11 11 11 9 9 10 7 21 5 12 11 12 12 13 7 13 10 11 9 8 12 5 17 14 8 11 12 15 13 7 11 4 9 12 11 9 7 12 11 18 14 11 10 7 8 18 8 10 11 6 13 14 16 11 8 9 14 11 7 6 10 6 15 8 11 12 8 7 15 12 6 8 14 11 4 15 16 11 14 13 13 11 7 13 12 10 11 10 9 7 7 13 7 11 13 10 14 13 14 6 7 19 5 13 7 5 13 17 16 17 17 8 6 10 18 13 8 20 13 17 13 7 10 12 7 7 10 5 4 3 2 0 0 2 3 3 7 4 4 7 4 4 3 5 10 11 8 18 12 7 9 6 13 14 10 15 8 12 12 11 15 8 10 6 14 11 12 9 16 8 13 8 11 10 11 9 11 4 10 18 10 12 14 18 11 15 13 12 11 16 14 10 15 12 11 6 14 10 9 17 13 15 15 16 7 13
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11,24,20,28,25,12,15,14,20,20,25,19,16,21,19,14,15,24,9,17,22,18,23,19,22,15,25,27,12,14,14,22,19,16,23,13,22,19,13,19,24,13,22,16,22,13,19,18,11,12,22,19,19,20,23,18,11,21,17,16,15,16,13,22,27,18,22,13,12,18,19,18,21,16,19,16,15,10,21,15,20,23,15,15,8,10,19,19,24,13,18,16,18,20,18,18,21,12,23,18,26,15,17,13,18,13,15,21,21,23,14,18,16,23,13,18,16,25,23,17,21,19,10,19,26,20,24,20,21,18,20,17,24,19,21,27,21,19,22,16,15,11,13,27,19,29,19,20,22,13,17,26,26,16,13,12,20,13,17,14,26,19,18,14,14,15,19,10,27,24,18,18,17,14,17,23,12,7,4,2,4,1,3,2,4,1,2,2,4,7,4,11,4,14,5,11,10,12,16,22,31,18,14,12,17,16,18,23,17,20,20,19,18,16,16,7,11,18,24,18,20,15,24,17,20,16,20,13,21,11,14,24,24,23,22,19,16,20,17,14,13,22,22,29,22,16,22,19,14,18,21,20,19,15,30,19
12,25,16,18,21,14,15,16,18,15,14,8,17,14,19,21,17,12,25,13,24,21,23,12,21,14,19,16,13,12,16,21,15,21,15,11,25,17,18,12,14,19,25,24,18,18,12,11,22,14,17,16,12,14,23,15,17,19,13,23,21,14,13,16,16,22,19,19,16,16,20,29,20,26,18,13,13,11,22,16,18,15,25,14,20,16,14,23,10,11,22,20,16,31,19,11,16,27,20,19,21,16,20,20,16,13,20,17,15,10,23,20,20,26,19,16,25,13,18,19,21,12,23,19,22,14,20,18,22,20,15,17,27,21,16,14,15,11,19,16,17,20,24,20,19,15,13,22,28,28,17,25,20,24,15,16,16,14,19,19,19,22,21,11,20,20,15,21,26,19,21,16,21,22,11,12,10,12,6,2,2,1,0,0,5,3,10,7,3,3,3,5,11,11,6,13,9,8,10,12,14,13,12,22,5,13,15,21,15,17,19,21,15,11,25,24,22,19,21,27,17,24,14,20,20,20,14,15,12,19,14,19,15,13,22,14,18,24,14,22,21,20,20,21,20,17,14,17,19,19,15,17,18,13,19,21
19,18,14,18,18,24,20,22,23,19,19,9,21,29,25,18,14,24,13,17,17,13,20,11,20,17,14,13,17,21,24,25,20,19,35,18,18,9,20,14,15,16,15,9,12,16,19,16,17,22,20,22,18,14,16,21,21,16,21,18,25,19,15,24,23,18,22,16,21,16,16,22,25,17,13,19,18,25,19,12,11,15,18,11,15,19,16,24,21,18,24,16,18,13,27,16,21,24,21,21,15,14,22,11,29,12,22,19,23,17,18,16,12,18,17,17,18,12,13,29,16,15,19,14,18,17,17,12,17,24,20,17,21,16,13,26,21,21,22,24,19,13,15,14,21,23,22,20,22,12,19,23,12,16,20,13,17,13,18,13,23,9,17,16,17,20,18,23,20,17,13,15,23,20,20,8,11,2,1,0,1,0,2,0,5,2,1,1,5,3,5,3,4,8,14,10,10,23,13,13,6,14,14,16,22,18,15,14,26,8,10,15,21,25,18,9,15,17,18,16,16,25,17,17,18,15,21,20,27,18,29,15,12,19,17,14,15,14,16,17,23,24,19,18,15,15,24,16,26,15,21,12,19,19,22,16
21,18,26,12,17,22,22,14,15,20,19,19,17,22,14,16,19,21,21,13,35,19,17,24,21,24,18,21,23,21,20,16,17,14,12,18,19,19,18,13,17,17,22,16,13,19,19,21,20,21,14,16,18,16,20,16,17,17,24,21,16,14,14,15,22,22,22,17,16,23,19,21,16,14,18,13,28,18,22,24,23,19,17,18,12,18,25,17,20,24,19,18,20,9,15,16,15,21,19,20,21,17,25,20,17,18,17,19,19,12,18,16,20,18,12,15,19,17,25,16,19,14,24,17,30,16,20,16,12,21,10,16,18,28,19,20,21,18,16,22,21,17,11,18,19,16,22,17,19,18,23,23,21,18,18,27,27,19,20,18,19,21,14,22,17,18,21,19,16,22,23,23,15,16,11,10,6,2,2,3,0,1,0,1,3,1,2,8,6,4,3,3,7,11,9,9,6,13,19,9,17,10,9,16,15,20,9,15,24,6,17,12,16,21,20,27,24,27,21,15,19,17,21,14,13,25,18,23,17,24,21,18,16,19,22,17,13,20,12,16,14,20,15,17,19,18,19,14,13,22,18,15,14,17,23,18
14,20,19,20,14,17,14,16,18,24,20,30,17,15,22,12,18,20,22,11,19,14,16,20,24,11,18,19,18,13,21,13,23,22,20,23,20,21,17,31,16,21,18,21,22,16,23,12,15,19,21,15,16,24,13,10,19,20,23,19,13,26,15,14,19,20,18,22,15,21,24,14,27,20,16,18,18,19,17,24,15,9,23,23,19,15,14,20,19,16,13,19,15,19,15,15,21,23,17,21,23,20,17,19,17,27,16,19,14,21,18,26,17,14,21,19,21,26,18,11,13,15,22,20,15,23,19,15,21,17,18,27,18,20,22,24,23,14,18,14,14,22,22,13,22,25,18,16,21,22,16,16,23,13,26,16,14,20,20,21,13,24,24,17,23,16,20,19,18,24,17,21,13,9,8,15,2,3,0,1,1,0,3,1,0,1,1,1,4,12,7,8,5,9,5,6,11,11,12,18,15,10,17,11,14,19,19,8,23,17,19,18,15,19,8,21,17,14,19,25,17,22,20,13,20,23,12,15,22,24,20,13,18,18,14,20,24,19,15,14,11,16,21,19,18,11,21,20,18,20,26,21,14,22,19,14
21,17,19,12,25,18,11,16,27,14,20,17,14,18,17,15,26,22,19,12,24,16,20,17,23,20,15,13,18,15,15,19,19,27,20,19,22,13,13,16,22,17,11,23,15,15,12,21,10,18,17,13,13,14,20,28,22,20,13,14,14,11,15,26,15,20,15,19,16,17,21,17,21,26,17,18,24,21,18,19,19,17,19,20,23,25,18,19,16,21,20,18,18,20,23,19,16,21,15,16,20,18,14,22,15,9,22,19,16,12,23,16,17,22,15,25,20,21,17,15,13,16,12,18,17,19,23,21,24,23,22,17,26,17,21,22,18,16,17,30,24,16,20,19,16,15,24,15,25,14,18,18,11,24,21,22,20,17,19,21,8,16,17,24,20,20,10,19,21,23,16,26,13,9,6,6,4,1,0,1,2,1,1,0,0,1,3,1,4,2,3,6,7,8,11,8,14,4,20,16,15,13,13,15,12,10,13,11,11,21,11,18,15,24,11,17,11,19,9,22,21,20,14,18,17,21,20,18,20,23,15,22,18,27,24,17,13,23,14,13,24,11,19,17,15,19,16,21,18,21,21,18,30,19,31,17
15,14,9,15,15,13,24,20,13,16,15,19,27,15,17,16,22,21,14,12,22,19,17,19,19,19,19,21,20,20,21,14,15,16,18,16,29,20,19,10,14,10,21,21,14,29,13,19,23,14,15,20,12,16,17,15,14,15,16,26,13,26,23,20,20,16,17,21,15,20,20,10,21,19,20,15,18,13,18,13,19,16,19,15,15,24,16,22,17,23,21,18,17,12,19,25,19,24,21,23,15,30,33,17,13,18,14,16,22,20,28,18,16,16,15,15,16,22,25,19,18,11,13,16,23,12,17,20,19,22,19,11,19,19,16,26,16,20,20,16,26,17,16,23,19,19,15,14,26,24,20,15,18,19,20,18,15,15,19,16,22,19,25,24,14,11,16,21,13,15,22,23,19,13,5,2,1,3,1,0,0,3,1,1,1,0,1,3,3,3,5,5,8,5,8,7,13,11,7,15,6,13,10,14,13,16,18,9,14,21,15,16,11,15,19,23,20,17,15,16,22,28,30,25,23,16,20,19,12,12,10,24,23,24,20,19,25,12,20,25,15,12,15,20,23,14,20,15,14,20,17,24,16,21,13,20
21,25,22,23,15,18,15,16,20,19,15,16,20,12,15,23,14,19,15,19,15,21,21,20,12,14,15,21,15,10,21,17,18,19,8,16,18,16,12,19,11,20,18,17,8,15,12,17,11,18,20,19,16,17,18,26,19,17,25,22,11,19,11,17,20,14,23,19,15,19,26,12,19,15,20,16,14,25,18,21,9,10,17,11,14,17,24,11,17,19,20,20,14,11,24,19,22,17,24,22,21,25,18,13,24,15,17,16,20,13,12,20,16,12,19,15,19,11,20,18,18,19,29,20,15,16,25,21,21,20,18,11,19,18,23,18,17,28,18,24,18,20,29,14,19,22,23,14,14,22,22,18,25,18,18,21,22,18,18,23,16,19,16,26,20,31,25,21,25,17,21,18,15,5,8,1,1,1,0,1,0,1,1,1,1,1,1,1,1,2,4,11,8,8,12,13,11,7,13,13,7,14,10,20,17,19,22,20,12,10,13,14,18,23,12,26,18,19,13,19,16,27,11,8,22,23,24,19,12,11,20,16,17,21,13,17,20,17,20,17,21,25,21,22,20,20,22,16,23,23,15,20,11,17,20,22
24,13,18,16,15,22,23,11,18,9,19,29,20,25,18,32,8,17,18,17,18,11,12,17,18,17,17,9,17,15,19,14,18,20,25,17,17,18,15,22,18,26,19,14,21,24,20,13,18,13,16,14,19,21,27,16,18,18,18,16,24,13,20,17,19,22,20,13,18,10,11,17,23,21,18,16,11,22,18,15,20,24,14,16,8,9,8,15,19,17,16,15,12,19,17,14,13,23,14,15,19,19,20,26,24,18,10,12,19,24,17,9,17,26,17,20,23,15,15,21,12,24,15,12,18,15,21,16,23,14,19,14,18,25,19,12,14,16,21,16,19,21,16,18,15,20,9,21,19,15,26,24,14,18,22,18,16,18,14,19,17,15,18,18,18,21,19,26,19,10,20,16,20,8,2,2,1,0,0,0,0,0,1,2,0,1,0,2,3,1,4,7,8,8,7,8,2,10,16,15,4,8,7,14,21,11,7,19,11,9,11,18,25,15,18,14,19,17,20,21,17,14,12,21,19,26,20,24,27,25,19,22,16,32,13,22,13,14,14,15,21,20,14,23,13,18,20,13,8,20,22,21,18,8,20,19
17,17,19,12,19,19,18,19,17,12,17,19,16,23,21,20,21,19,16,21,16,15,15,20,21,25,24,20,18,19,11,20,8,14,19,21,12,22,19,21,18,20,14,20,19,19,17,19,17,12,24,19,22,16,15,25,16,16,11,16,18,14,17,24,20,19,20,23,23,26,16,15,13,21,23,19,18,19,16,22,19,20,19,18,9,16,26,24,18,22,29,13,23,19,12,9,20,14,13,17,21,25,19,17,16,22,14,17,19,16,15,26,15,14,13,21,12,12,25,18,25,13,23,16,19,23,22,14,15,20,13,19,19,19,19,15,19,23,20,12,25,27,21,21,15,22,19,14,30,15,21,19,11,19,19,20,21,32,22,19,23,22,21,18,25,19,17,22,21,19,10,11,7,11,0,0,1,0,0,0,0,0,0,0,0,0,3,0,1,0,1,2,3,4,9,4,12,6,9,12,10,10,12,19,13,21,9,12,10,13,18,19,23,13,22,18,25,23,11,20,21,12,21,16,17,21,17,16,15,24,17,22,11,20,25,14,15,19,20,20,10,24,16,14,23,23,20,21,18,24,24,15,13,25,7,25
25,19,15,22,22,17,23,18,14,27,18,10,17,7,18,19,18,25,15,25,11,15,17,18,18,15,18,16,19,13,19,21,19,25,19,22,20,18,11,13,15,16,19,23,19,12,13,24,15,25,17,23,20,19,10,23,18,13,16,13,18,10,27,22,15,15,18,17,19,16,21,17,19,20,14,13,25,16,8,20,17,21,16,22,16,12,13,11,23,21,17,13,17,18,22,19,22,15,21,17,15,15,19,18,18,15,15,19,13,18,21,12,14,12,27,12,10,23,24,19,17,20,23,12,18,22,21,23,16,12,15,26,20,21,18,19,16,18,21,13,16,31,24,13,16,19,17,31,14,24,15,29,26,17,18,17,25,23,16,20,11,19,18,22,19,18,22,19,19,20,16,9,8,12,4,2,0,1,1,0,0,1,0,0,0,1,1,2,0,0,6,4,3,4,3,11,11,4,8,9,15,19,14,7,11,11,8,16,13,17,18,13,15,25,18,18,12,17,15,22,20,22,21,13,27,16,20,18,24,16,18,12,14,18,22,22,16,23,21,19,20,21,10,19,20,17,19,21,20,23,19,26,25,15,16,20
16,15,17,10,21,22,19,25,23,23,17,9,20,17,16,25,16,19,14,17,16,22,13,19,28,18,17,24,19,12,14,15,15,17,11,11,15,11,21,16,17,25,15,16,24,26,12,20,23,17,13,18,22,20,30,18,19,23,21,14,21,17,16,17,21,13,17,16,17,17,15,18,19,27,19,24,18,14,21,25,15,17,13,23,15,28,17,17,14,18,15,13,13,23,19,22,16,23,19,22,10,15,18,21,31,16,19,13,18,19,12,25,20,17,17,14,22,20,15,13,19,22,19,23,18,20,15,23,13,18,12,22,18,18,23,17,18,15,15,11,25,17,21,20,16,13,14,11,20,22,16,18,19,22,16,19,20,22,17,15,24,15,17,17,14,21,21,16,21,8,12,9,10,3,3,0,0,0,0,0,0,0,1,0,1,0,0,0,0,3,2,5,2,6,4,6,6,6,10,9,12,7,10,6,15,15,8,5,12,17,24,15,16,17,17,21,15,16,18,22,20,21,26,15,13,17,26,16,21,19,13,26,22,17,18,13,22,26,15,15,24,21,15,16,22,18,18,21,27,17,22,16,31,17,16,17
22,29,12,12,17,22,20,20,22,16,22,18,22,24,19,20,20,14,13,14,15,15,15,11,15,19,25,24,17,21,15,11,16,12,15,16,14,20,14,13,21,21,18,13,14,24,21,17,21,17,17,10,25,17,23,19,22,20,21,16,16,17,23,17,23,15,16,30,16,18,24,20,21,11,24,17,20,11,14,8,22,11,17,14,19,21,15,18,17,22,20,19,22,17,22,25,25,19,24,17,20,19,17,18,16,23,16,16,23,9,15,28,17,18,16,23,28,19,15,18,13,17,22,24,20,20,14,14,13,21,15,23,27,20,24,23,14,19,21,20,12,17,21,13,15,27,22,17,23,27,18,22,22,25,19,16,23,19,18,14,17,31,25,15,15,20,12,16,18,10,11,12,10,2,2,1,1,2,1,1,0,0,1,2,1,1,0,0,3,0,1,4,1,7,7,9,5,8,3,2,8,11,12,8,14,18,14,21,15,13,16,13,17,17,18,11,16,12,13,28,8,18,16,19,19,14,18,17,20,18,14,22,17,14,20,15,21,19,17,14,18,14,12,23,11,22,16,18,23,17,12,15,20,13,17,18
20,21,18,21,14,23,20,20,17,16,12,17,22,23,25,17,19,17,9,13,14,18,13,24,12,21,16,17,20,18,10,15,20,15,11,19,16,16,18,19,19,31,24,23,24,17,18,14,22,14,17,17,16,20,13,22,22,19,17,21,11,19,20,13,24,13,24,22,17,14,18,22,16,16,15,10,25,21,16,19,16,25,14,20,22,19,11,22,23,21,19,12,15,17,19,13,16,23,16,11,20,13,29,16,24,13,14,16,14,19,18,16,16,16,19,21,19,16,16,19,16,22,15,21,14,25,10,13,28,16,28,20,18,24,20,20,12,16,23,22,19,15,21,25,16,21,22,16,22,19,23,22,13,16,19,16,24,18,21,25,12,18,14,15,22,15,22,15,9,11,9,11,2,1,1,0,0,0,1,0,0,0,0,1,1,1,1,0,2,2,2,1,3,4,1,4,4,6,7,10,9,3,8,8,9,9,19,14,22,15,12,19,18,18,15,12,18,24,19,23,18,17,20,17,20,17,14,17,18,23,28,25,24,19,30,25,20,21,16,20,22,22,21,28,15,24,13,12,18,24,17,27,15,22,21,15
18,25,13,19,21,22,20,13,17,20,19,21,24,18,14,19,10,17,17,24,16,27,15,19,16,15,7,17,24,21,20,11,11,13,13,23,16,16,19,19,20,19,16,19,22,15,21,11,12,22,20,12,14,23,12,20,21,14,25,18,16,15,17,25,14,20,22,19,17,21,21,22,14,17,19,11,21,18,13,16,16,9,20,8,15,21,17,19,18,22,20,23,10,16,17,19,20,21,19,24,20,22,20,8,24,8,22,18,17,20,17,7,15,21,20,21,24,22,18,20,16,9,17,22,29,19,12,27,18,23,14,13,18,24,18,22,19,17,23,24,14,25,15,27,8,20,22,19,20,23,14,20,16,15,18,21,25,14,21,15,15,19,14,23,20,20,17,13,11,12,9,7,1,1,0,2,0,0,1,1,0,0,0,1,1,1,0,0,3,0,0,0,2,4,3,4,3,8,7,9,13,9,11,10,10,9,11,9,10,14,22,18,12,11,29,13,11,19,27,16,19,14,22,18,14,16,15,25,14,18,21,21,16,20,18,12,16,17,22,20,30,23,16,13,21,27,18,16,22,17,9,13,22,9,13,23
24,19,17,18,21,18,13,13,21,21,16,18,17,18,13,21,18,12,16,20,18,22,15,10,22,21,22,20,22,24,17,16,17,15,16,21,17,19,6,21,25,28,15,21,22,18,20,28,14,10,18,13,21,10,20,19,20,16,19,20,17,19,18,16,12,18,11,20,15,20,32,10,22,23,21,13,23,19,17,19,22,23,19,18,17,15,13,10,25,12,21,13,20,21,25,18,20,12,19,20,19,23,16,20,15,22,16,17,19,23,18,29,24,16,22,18,22,16,27,19,16,24,22,24,16,16,13,17,13,15,16,16,19,23,18,20,16,21,26,21,20,21,15,16,15,24,17,22,16,20,17,27,14,17,9,9,18,21,11,15,21,14,24,19,14,26,17,12,13,8,5,5,2,1,4,1,0,0,0,0,1,0,1,0,0,1,0,0,1,1,2,0,1,4,2,5,4,8,2,7,10,11,8,12,13,13,11,10,11,19,6,24,13,12,12,14,16,20,13,15,14,16,19,23,18,17,14,11,19,20,15,21,23,21,19,15,19,17,24,18,12,20,15,14,14,29,18,20,26,23,20,18,16,24,20,17
21,11,25,19,14,17,19,19,13,25,26,18,23,17,17,20,22,16,17,26,12,21,12,15,21,13,22,22,15,16,23,21,17,14,16,15,21,20,18,16,19,15,22,24,18,21,18,18,16,24,12,18,21,15,20,18,11,28,22,17,17,23,19,21,18,15,18,16,16,16,18,17,14,15,19,13,17,18,25,26,24,9,17,22,18,27,17,20,15,16,20,13,16,11,26,15,16,11,16,27,21,13,18,17,13,27,17,13,20,18,17,17,13,14,20,19,15,27,16,18,18,21,15,16,21,27,22,22,21,11,21,15,19,14,16,25,24,15,14,16,27,24,21,18,11,16,16,17,20,18,21,17,15,32,16,27,25,17,22,17,22,24,17,19,18,16,24,14,14,9,4,3,2,2,1,0,2,0,0,1,1,1,0,1,1,0,0,1,2,1,1,0,3,2,2,1,5,5,5,6,9,9,7,12,14,10,10,12,11,11,18,20,16,18,18,17,22,15,17,16,17,20,16,12,26,18,17,16,18,14,21,17,19,22,24,17,14,23,30,21,11,19,14,22,15,18,18,24,19,14,23,16,20,17,15,16
6,12,19,23,17,21,11,14,17,24,16,21,27,23,13,19,21,23,24,20,19,17,18,16,20,20,25,16,12,22,21,16,22,14,25,11,18,13,23,21,13,17,24,19,10,19,19,20,16,22,20,12,17,17,17,15,18,16,18,23,26,18,20,18,24,17,16,12,14,17,19,21,20,16,14,10,13,17,18,19,14,15,15,22,14,13,13,13,13,23,21,14,20,18,16,16,21,16,21,18,20,19,21,22,25,18,15,16,19,21,29,22,27,17,20,15,26,21,10,17,22,24,17,19,29,12,24,17,12,20,22,18,15,28,23,17,20,29,18,14,16,19,17,20,21,27,19,19,14,21,19,13,15,18,17,11,14,23,18,21,20,19,28,19,18,14,9,14,7,10,1,5,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,1,1,0,3,6,5,2,12,5,7,10,7,9,17,11,9,7,10,10,18,17,22,16,13,8,22,21,15,14,20,17,14,18,17,18,13,18,9,21,12,15,19,13,17,19,18,20,10,13,18,11,18,18,18,25,17,17,31,16,20,14,12,21,16,16
19,25,16,9,18,20,20,22,16,19,23,17,25,9,22,16,19,21,22,15,21,14,20,26,29,20,18,14,19,20,22,17,17,18,15,24,23,17,20,17,19,24,21,22,23,18,17,17,21,21,15,22,22,28,21,21,16,24,21,22,18,10,15,25,16,21,16,22,20,18,27,11,22,22,16,17,23,20,21,16,18,15,14,16,20,19,17,19,17,15,18,19,24,23,16,30,15,20,8,19,17,15,8,20,14,17,9,18,14,18,22,12,28,19,27,20,24,14,21,14,18,17,27,15,15,16,23,13,19,27,29,23,18,24,17,17,23,13,17,15,24,21,17,22,16,28,14,15,23,17,20,25,14,17,18,15,14,16,14,25,15,19,21,17,22,20,13,14,6,12,7,2,0,1,0,0,2,1,0,0,0,0,0,0,2,2,1,1,0,1,1,1,0,2,2,0,4,8,5,9,12,7,8,8,7,11,13,12,15,14,16,14,16,18,21,19,17,19,23,16,15,20,21,13,12,17,19,16,17,23,22,22,22,15,18,19,18,18,18,14,18,13,17,23,26,18,13,23,19,21,18,21,12,16,16,16
22,15,19,19,25,11,22,21,22,24,17,13,16,16,11,16,21,33,16,18,17,15,19,20,8,15,23,17,21,21,9,20,25,29,25,12,18,14,19,15,12,13,17,20,16,10,17,13,12,31,15,23,19,27,21,23,16,14,27,18,20,21,14,14,20,12,18,12,21,19,25,20,19,16,28,27,17,21,17,19,20,21,17,23,18,17,16,21,19,17,16,20,25,20,21,17,22,20,20,20,27,18,17,19,21,12,10,22,16,12,23,17,26,29,19,17,19,20,14,13,17,25,21,16,17,29,17,19,13,20,12,27,19,18,18,14,19,22,21,16,11,27,21,19,24,18,26,17,29,20,16,13,13,16,26,24,24,25,16,20,22,21,14,18,21,15,15,13,10,5,4,0,0,0,1,0,0,0,1,0,3,0,1,1,1,2,0,1,1,1,0,1,2,3,4,4,1,3,5,6,4,6,5,8,13,11,11,17,16,18,17,18,17,12,13,15,14,19,19,17,23,15,14,19,21,16,13,14,20,24,11,22,18,20,18,15,22,15,16,19,16,20,23,30,21,19,12,16,23,17,19,19,21,24,16,22
17,21,20,15,19,17,12,16,11,24,23,17,20,24,20,18,26,25,21,13,22,18,24,14,18,21,20,14,15,22,22,20,21,22,15,15,21,17,21,18,16,19,22,18,20,11,16,16,18,23,21,17,16,27,25,15,15,21,11,14,15,14,19,19,16,14,11,18,18,13,16,18,23,15,17,13,21,21,18,19,17,15,17,21,24,20,15,25,24,12,25,14,12,18,10,18,25,21,16,14,25,15,19,18,12,17,19,14,13,15,18,16,16,14,10,14,28,14,16,21,9,22,25,18,19,18,20,12,19,23,13,12,21,25,26,17,15,12,18,16,20,18,27,16,20,21,28,14,28,22,22,26,15,16,15,24,14,20,26,20,25,13,26,18,16,13,14,14,7,6,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,2,4,1,0,0,2,2,0,3,4,3,3,7,4,6,4,6,20,13,12,16,14,15,12,12,10,15,8,15,8,13,19,17,19,17,24,19,14,21,22,13,19,11,14,19,15,27,19,9,18,26,13,14,10,16,13,16,16,18,28,18,21,20,14,24,20,16,18
22,32,15,22,17,16,22,22,14,19,15,23,20,13,10,17,12,15,17,22,17,15,17,19,19,23,24,7,15,14,10,9,19,13,16,24,17,21,16,13,15,18,17,25,20,12,15,19,9,24,19,19,23,15,21,11,19,19,20,17,18,19,17,16,19,19,21,14,15,21,18,15,21,24,15,19,14,17,19,18,24,18,20,12,21,18,16,22,22,19,15,21,24,27,9,16,17,22,24,17,25,25,14,15,16,16,15,20,25,19,17,22,21,18,19,21,27,25,14,15,17,17,23,26,17,23,27,30,20,15,20,14,19,29,21,19,14,20,16,17,27,18,26,21,22,22,22,23,25,27,19,27,13,22,16,18,28,20,23,18,19,16,18,18,18,9,16,10,4,6,4,2,0,0,1,0,0,0,1,1,0,0,3,1,0,0,0,0,0,1,1,1,0,1,0,3,1,1,2,3,3,4,2,1,8,8,11,11,9,13,19,23,10,12,18,12,13,11,15,22,20,18,18,26,17,18,25,21,13,18,19,22,14,18,21,21,11,22,13,23,17,25,12,21,16,18,17,19,19,14,14,19,17,16,15,16
15,14,15,25,13,19,10,19,8,23,21,21,14,12,23,19,21,19,26,16,20,14,23,20,14,16,16,13,24,23,23,19,17,16,12,23,18,16,25,11,25,31,17,11,20,18,18,21,20,22,22,17,17,15,21,23,20,21,15,23,17,19,21,20,15,17,20,18,20,17,23,26,18,17,20,19,15,11,23,21,19,22,12,18,25,23,13,16,21,25,14,16,17,18,14,20,19,17,19,20,21,19,15,21,18,21,23,21,13,17,19,22,16,16,10,11,18,14,17,8,10,16,18,12,20,23,23,17,28,21,22,23,9,23,23,13,14,23,27,15,9,17,14,17,23,17,27,17,20,24,28,18,21,16,15,22,17,22,26,25,22,10,15,16,16,10,9,11,3,3,2,1,0,1,0,0,3,1,0,0,0,0,0,0,1,0,1,3,1,1,1,1,2,1,0,2,3,1,1,5,4,4,4,6,4,9,8,9,15,14,17,14,18,17,14,15,10,11,23,14,22,14,8,18,17,17,19,17,21,15,16,18,23,25,18,18,20,22,24,17,9,13,25,9,11,11,20,27,23,15,13,23,20,24,17,17
14,23,20,15,17,20,23,18,18,17,26,24,17,14,17,19,17,8,22,18,21,18,19,18,16,16,15,16,21,17,19,18,18,27,22,13,14,16,20,18,18,29,13,29,7,13,17,24,22,21,21,14,14,23,24,12,21,24,14,14,20,17,21,19,18,19,16,18,14,24,17,21,20,13,17,19,25,17,18,22,24,18,12,14,19,21,20,28,16,15,21,20,16,17,17,28,22,23,15,17,29,16,32,17,24,14,13,25,17,16,20,21,25,20,22,16,19,13,19,25,10,15,18,11,20,24,17,28,25,15,17,13,16,23,16,17,26,18,18,12,17,7,31,23,18,18,28,20,19,20,17,19,22,12,20,11,22,20,16,19,15,12,18,10,15,15,10,5,4,1,3,0,0,1,1,0,0,0,2,0,1,1,1,0,0,1,2,0,1,0,1,0,2,2,1,3,2,3,1,5,5,4,6,4,2,7,5,7,10,7,14,17,11,12,13,16,23,26,10,19,17,17,17,20,21,14,19,19,14,27,18,14,18,13,19,15,15,17,19,9,20,21,22,15,17,17,19,14,16,18,16,14,18,17,20,19
18,13,18,16,24,15,16,22,20,15,22,24,20,25,16,15,21,20,16,18,17,17,19,26,26,18,15,18,14,18,19,12,20,17,19,25,15,13,13,11,11,19,15,14,23,11,15,15,21,18,22,15,27,17,14,9,22,15,22,26,16,15,19,21,17,13,16,10,17,18,21,14,13,27,17,21,18,15,23,12,17,16,11,19,12,16,20,13,20,16,17,13,17,18,23,20,21,24,16,20,29,19,21,20,20,11,23,16,9,14,28,21,14,23,27,22,18,26,18,20,8,22,22,16,12,19,18,26,17,19,21,16,17,24,24,21,14,20,19,16,15,18,20,11,20,26,19,16,24,14,13,17,18,22,17,24,19,30,12,14,24,17,19,8,6,16,6,4,2,2,1,0,1,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,2,0,1,0,0,0,1,1,1,4,1,3,3,3,10,2,6,7,8,9,14,9,15,11,12,17,17,17,18,10,11,19,14,15,17,19,18,23,20,26,21,20,16,14,19,22,24,22,16,18,16,31,20,14,28,29,22,17,26,13,19,22,23,15,15,18,11,20
15,27,23,18,16,27,21,9,19,15,20,25,16,21,15,16,13,16,24,12,14,17,18,22,14,21,16,16,9,20,20,13,16,18,19,13,22,12,22,23,23,25,10,10,17,19,20,13,19,17,22,18,13,18,22,24,21,9,17,20,13,15,23,20,17,22,12,23,12,19,12,19,24,19,22,28,22,36,21,21,18,22,14,18,17,21,22,15,15,21,15,19,12,13,14,13,22,23,16,29,12,22,21,12,27,20,23,21,20,24,22,19,18,13,20,27,20,18,23,24,20,16,19,10,21,21,13,14,15,18,24,24,15,34,12,25,19,22,16,20,22,15,14,21,16,9,21,19,22,20,25,21,20,13,17,19,29,12,16,23,15,17,19,12,13,5,10,4,4,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,2,2,0,1,2,2,4,1,2,4,3,7,4,8,11,5,6,6,7,17,13,13,10,12,21,13,10,13,11,19,9,21,17,19,24,11,12,15,16,13,13,16,24,17,17,18,21,15,22,17,19,22,19,13,23,17,22,19,19,21,13,14,16,17
17,21,21,15,22,23,21,11,14,19,15,20,20,23,26,13,26,19,24,22,21,17,13,14,20,13,15,17,15,19,19,17,19,17,19,15,20,20,21,13,21,21,8,9,11,18,15,12,14,10,18,24,15,15,18,26,29,16,23,19,16,24,16,18,19,26,16,30,24,20,18,21,20,14,17,18,20,14,13,10,22,22,16,23,25,24,17,23,15,10,14,27,20,23,17,16,13,23,16,20,19,18,19,24,20,20,17,20,20,12,15,10,26,19,16,11,15,25,25,18,13,17,13,18,16,14,17,26,19,17,18,26,25,19,9,18,25,15,20,18,23,23,17,12,10,16,24,18,22,28,15,15,16,9,21,22,23,21,16,15,19,16,15,10,14,11,5,1,0,2,0,1,0,0,0,0,0,0,1,2,0,1,2,0,0,0,0,1,0,0,0,1,1,1,1,0,1,1,0,2,0,3,3,6,7,7,10,6,10,14,17,9,17,15,13,15,18,12,11,14,8,15,21,16,22,19,22,14,16,17,18,21,25,20,17,17,17,15,15,26,23,25,16,19,24,21,21,23,16,22,16,21,19,23,18,17
22,16,10,17,11,18,26,25,21,14,18,26,8,17,23,24,17,15,23,15,13,16,14,19,18,22,13,14,19,15,14,23,29,14,18,22,14,22,18,15,16,17,21,17,21,24,9,24,23,19,7,11,20,20,24,16,22,29,13,15,16,20,22,17,13,22,23,13,22,18,13,17,24,21,21,21,10,21,16,23,16,14,18,26,23,20,22,21,16,16,23,17,18,15,22,18,17,16,17,24,29,20,18,14,15,30,21,19,23,24,23,22,20,19,19,14,13,29,18,20,19,19,24,20,13,28,28,9,16,15,17,17,25,27,18,23,24,17,30,17,19,25,19,18,22,17,21,22,15,19,12,18,19,18,16,12,18,26,18,12,16,18,14,14,4,4,4,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,2,1,3,3,2,2,0,4,2,9,3,5,7,10,11,14,16,12,13,9,14,13,16,18,8,19,19,13,22,17,12,21,17,17,23,15,20,12,16,21,25,23,14,18,25,22,21,12,16,16,17,12,16,17,18,21,25,18,16,17,24,15
19,18,17,21,24,20,23,19,21,20,17,18,21,17,21,16,18,18,19,18,17,14,13,19,21,17,13,20,16,22,19,12,13,23,10,23,13,15,16,15,20,28,13,17,15,21,12,27,19,25,20,11,18,21,12,18,16,13,16,17,18,10,14,23,21,23,17,11,17,21,20,21,21,22,28,16,18,13,8,17,11,24,20,13,15,22,13,11,13,15,10,19,19,16,21,26,19,26,15,20,19,17,18,22,18,20,13,17,15,14,21,19,21,24,20,12,23,20,14,22,18,21,16,22,20,25,19,26,22,18,18,19,14,19,15,31,22,25,20,19,20,21,21,14,20,17,18,14,23,14,26,24,22,17,21,21,18,20,22,12,24,15,13,12,3,6,2,1,0,0,1,0,1,0,0,0,0,3,0,0,1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,2,2,2,1,4,1,3,3,4,5,4,2,9,6,10,9,16,17,9,11,12,16,8,16,16,14,24,14,13,23,12,17,18,18,16,25,17,27,16,26,20,19,13,15,25,17,18,25,23,19,24,9,17,17,10,15,12,16,26,14,18
22,23,16,22,21,18,18,18,22,16,13,19,18,21,16,15,18,15,11,17,23,20,19,13,17,17,24,20,19,22,16,25,14,14,14,15,12,18,24,10,21,21,18,19,14,17,27,21,14,16,20,16,18,25,21,13,16,17,16,16,21,24,16,19,21,21,20,16,14,16,21,20,11,16,22,18,24,12,22,22,22,16,16,7,14,24,22,19,21,15,15,20,15,20,22,16,21,14,26,17,21,24,22,19,14,22,19,18,19,27,19,17,16,25,17,21,13,23,15,21,14,23,18,15,16,15,17,17,14,19,20,22,11,17,16,16,16,16,13,27,23,13,19,20,14,23,15,25,16,17,23,26,22,21,17,18,19,21,16,12,14,19,14,8,4,3,5,0,1,0,0,1,0,0,2,0,0,1,0,0,1,1,1,0,1,0,1,0,0,0,2,1,1,0,1,0,2,2,0,2,1,4,4,8,6,7,8,4,7,10,13,10,7,8,9,12,14,16,8,18,17,12,18,24,19,18,19,23,18,14,20,20,16,18,21,17,22,19,23,19,23,17,23,17,23,13,16,24,21,21,12,14,19,24,22,22
29,19,20,11,10,18,17,19,14,21,16,19,22,17,18,16,12,18,11,16,20,21,14,18,20,20,20,18,14,14,16,17,15,18,17,15,19,21,19,21,21,16,19,22,22,25,25,10,17,10,23,13,18,16,17,18,19,17,19,13,19,18,18,15,24,16,20,14,12,14,19,14,15,17,15,18,18,20,11,13,24,15,15,27,11,21,13,16,17,29,15,20,16,20,19,19,24,13,11,16,23,21,22,18,20,24,15,30,16,18,25,13,18,27,25,20,19,25,20,16,16,16,24,14,17,16,22,15,27,17,18,18,19,22,19,17,20,20,28,22,25,24,20,20,19,27,18,22,21,17,23,23,19,17,22,11,20,11,21,13,17,5,6,10,4,3,0,1,0,1,0,0,0,2,1,0,0,0,0,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,2,5,1,4,5,5,9,1,14,9,6,5,10,10,7,9,9,12,11,15,7,15,17,18,23,12,24,20,14,28,18,12,15,26,24,18,23,16,20,14,22,17,18,26,17,25,16,17,13,15,13,21,22,16,19,13,21,13
20,12,17,19,22,19,18,22,19,16,27,13,11,18,32,10,23,22,23,13,26,22,22,19,21,18,14,20,13,22,6,13,15,24,19,22,13,25,15,24,24,13,27,15,18,15,19,22,17,19,19,17,27,27,17,17,25,11,20,23,19,20,16,17,16,13,10,14,28,15,25,9,23,24,21,18,19,17,17,10,15,14,15,22,16,21,10,23,16,13,16,16,9,20,26,16,17,12,17,16,20,21,24,14,13,20,26,23,26,19,25,16,20,21,22,16,16,17,14,24,15,14,9,17,24,14,21,16,25,24,21,25,19,20,27,26,25,14,11,27,22,20,20,15,15,20,22,7,15,19,23,15,17,18,25,20,21,19,25,14,15,11,5,7,2,2,2,0,0,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,2,0,3,2,3,7,3,8,3,9,9,7,11,13,8,7,10,12,7,13,14,14,21,18,10,11,15,17,18,21,16,7,19,23,24,17,10,13,26,16,18,18,19,14,15,19,13,19,18,18,15,19,20,16,20,17,16,23,20
14,15,20,14,12,16,24,20,28,15,21,23,20,20,19,13,20,23,18,17,15,13,21,14,17,23,17,18,11,17,11,21,15,10,16,17,19,16,17,6,19,14,15,9,14,23,20,13,19,13,20,26,15,21,16,15,21,12,18,17,14,25,13,18,18,25,18,20,24,20,17,28,17,18,15,13,20,23,23,10,14,16,20,14,8,21,25,17,13,15,16,15,19,17,25,12,18,21,22,16,15,19,16,16,25,17,13,16,19,25,26,23,15,20,24,23,19,13,25,18,24,26,18,20,26,20,20,25,20,23,18,20,24,14,13,12,29,23,23,23,17,19,18,22,18,16,17,33,15,17,17,13,17,12,30,24,13,19,12,15,11,10,9,5,5,1,2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,1,2,1,0,2,1,6,9,9,7,4,11,2,11,5,16,9,14,14,15,13,11,22,17,20,20,16,21,19,16,22,19,19,23,13,26,17,12,15,11,21,17,14,23,21,14,17,13,19,17,20,16,11,21,14,14,18,21,17,14
21,21,17,21,20,14,12,19,27,17,17,22,18,15,20,16,25,14,18,18,22,19,17,22,22,15,21,15,20,20,18,17,21,18,16,12,21,18,13,19,13,16,19,20,16,16,22,11,23,10,24,11,15,16,15,27,19,21,16,16,21,20,27,13,16,26,18,18,15,28,20,21,20,10,14,19,22,16,22,20,21,19,20,14,14,15,23,25,17,20,13,22,21,16,14,22,22,18,15,19,19,27,16,12,15,20,19,24,29,12,26,22,16,22,22,23,18,19,18,24,14,23,29,15,26,23,26,19,18,17,19,24,16,12,21,13,21,16,12,26,15,16,19,32,14,17,24,21,15,20,18,20,13,17,15,18,16,9,15,8,6,5,7,3,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,1,2,0,2,0,1,1,1,3,1,0,1,1,8,3,2,4,10,14,11,13,9,9,16,8,13,8,11,10,18,11,15,9,14,15,16,12,19,15,13,20,19,22,15,22,21,17,14,13,24,23,19,16,16,26,16,14,18,18,17,20,18,26,33,18,19,20
19,18,25,10,16,9,19,17,25,15,18,15,27,26,14,21,21,29,16,17,14,22,18,18,19,15,21,21,16,16,21,17,19,22,23,19,17,15,22,17,20,14,17,21,15,21,20,14,19,15,19,20,24,15,16,17,22,18,13,29,13,10,14,13,20,21,21,16,18,18,13,19,14,9,22,23,21,18,18,18,14,26,16,24,20,25,19,18,21,16,19,25,15,14,24,27,16,15,20,17,21,15,16,15,12,13,34,22,15,26,22,20,19,13,17,17,17,23,23,21,17,18,24,14,14,22,17,24,17,26,22,26,26,14,18,19,22,17,20,24,24,20,17,20,12,24,23,19,13,15,15,19,19,15,16,23,26,25,20,10,9,4,3,3,2,0,1,0,0,0,0,0,2,2,0,2,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,2,0,2,3,3,2,3,3,4,3,7,7,8,9,10,14,8,4,8,16,16,18,13,15,11,18,17,19,12,20,10,18,20,16,22,11,17,10,17,18,21,20,17,21,27,12,16,13,14,13,18,21,14,7,14,18,20,16,9
13,22,15,20,22,17,21,16,19,15,10,22,14,23,18,19,26,16,21,19,16,25,22,21,12,25,16,19,14,23,16,15,20,17,24,14,17,19,14,18,19,21,16,22,23,13,21,13,15,11,17,11,19,18,17,19,13,20,17,12,19,20,14,14,15,18,22,23,16,10,15,17,22,23,12,16,15,18,16,17,21,21,18,15,15,13,16,24,16,17,20,18,18,30,18,20,21,19,17,14,29,22,19,14,12,24,16,16,24,21,27,22,20,23,18,13,23,20,18,18,15,19,12,19,20,26,22,22,17,17,18,23,18,10,25,27,22,28,14,23,19,22,14,12,14,15,23,17,12,24,15,23,14,16,18,15,18,14,15,6,11,9,4,4,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,2,3,4,4,2,2,6,4,8,11,8,9,9,15,14,12,13,13,16,18,15,24,17,11,14,16,14,12,16,16,18,15,21,16,23,23,19,17,22,20,12,17,15,7,22,18,11,18,14,15,23,20,21,23,20
23,15,15,16,21,9,15,15,21,16,15,29,25,18,23,21,16,17,15,22,19,16,20,14,16,21,12,26,25,20,22,24,20,13,15,13,19,10,16,19,14,22,15,16,19,18,17,18,24,19,18,9,20,14,18,14,15,20,8,23,18,20,26,19,17,21,15,22,15,7,22,19,24,21,25,14,14,21,15,18,13,16,12,22,21,20,19,25,28,20,18,24,18,15,26,23,24,20,22,26,21,28,18,15,18,16,19,26,13,16,21,21,21,18,15,12,14,20,18,16,24,19,24,20,17,18,21,18,18,26,22,16,24,21,18,21,29,15,28,22,18,30,15,17,20,20,25,19,23,18,19,11,19,20,23,15,17,14,5,11,8,6,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,2,0,4,2,0,0,0,0,3,2,7,1,3,7,9,8,6,12,12,14,9,14,12,13,11,13,14,22,12,20,15,16,15,12,18,23,10,18,15,18,23,21,16,16,23,20,16,15,21,24,24,15,12,17,18,20,20,17,21,16
12,23,18,16,17,20,15,24,22,14,20,16,22,21,27,23,18,16,20,14,17,22,11,18,19,18,13,22,18,29,18,24,16,26,25,27,22,16,15,27,24,24,15,13,20,20,24,18,21,20,18,22,12,14,16,17,13,18,14,21,19,20,18,26,26,25,17,17,17,10,25,20,20,20,27,19,22,19,17,22,18,17,14,12,18,12,28,15,27,21,24,16,13,24,8,17,18,14,22,15,17,16,21,21,14,18,25,14,15,20,13,18,20,22,15,14,26,26,17,18,16,13,18,20,22,16,15,20,19,14,24,13,12,16,23,19,19,20,20,15,20,38,19,10,21,15,13,22,14,18,22,15,23,22,26,16,7,18,7,10,5,2,1,2,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,0,1,1,1,1,0,0,0,0,0,0,2,1,2,1,1,2,2,4,5,4,2,2,5,8,13,10,11,9,13,9,9,12,17,13,14,19,12,24,23,11,15,18,20,17,18,18,20,21,18,26,23,14,20,19,18,17,20,24,17,23,13,21,18,19,14,16,16
23,24,20,12,25,25,17,15,15,18,23,19,20,26,23,15,16,19,27,13,13,21,12,20,21,16,15,13,12,20,18,26,19,18,7,19,20,16,20,20,14,8,20,15,20,21,27,20,15,14,22,15,15,19,12,16,19,38,14,19,20,20,20,17,17,27,15,19,19,16,22,23,13,10,16,15,11,19,19,26,19,12,23,20,18,20,16,20,19,15,18,22,20,13,25,14,24,18,16,26,22,25,16,29,30,20,26,20,21,19,13,26,16,19,31,24,19,22,14,21,15,16,14,18,16,20,15,20,19,25,10,18,20,17,19,20,22,19,21,22,17,23,21,17,17,11,16,16,18,18,28,15,18,16,11,19,17,13,13,7,8,4,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,0,0,2,1,1,0,2,0,2,0,0,2,5,5,6,8,8,11,8,11,17,19,14,11,8,15,22,16,20,12,10,11,26,18,22,19,28,26,19,15,18,19,15,16,19,24,25,18,17,21,19,18,30,19,23,17,11,19,24,19
23,11,16,15,17,21,20,17,19,21,15,19,21,25,15,20,13,21,10,27,17,15,21,15,20,16,14,19,17,19,19,21,20,18,18,28,11,16,23,20,21,14,20,14,19,21,19,19,20,14,15,19,17,21,17,22,23,20,20,14,18,14,23,18,14,12,20,19,16,23,13,21,20,18,25,17,24,15,12,25,17,20,15,11,16,20,25,17,23,14,22,20,14,27,19,20,15,13,13,24,18,21,23,22,12,19,27,14,19,30,15,17,22,17,16,19,21,17,16,27,18,19,26,24,16,23,14,14,15,31,16,16,20,14,16,16,19,12,25,26,8,17,23,28,20,13,16,23,16,21,16,22,26,12,16,19,10,12,8,8,7,5,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,0,1,1,2,4,2,2,7,4,4,6,5,3,5,7,14,7,14,16,10,12,18,20,17,15,11,17,13,22,16,17,24,24,23,20,18,21,11,22,14,20,17,11,25,15,21,18,18,16,21,15,9,20,19,24
20,18,12,15,22,23,19,23,19,32,12,15,13,20,19,15,16,21,23,20,21,14,18,19,19,23,8,16,14,15,17,14,14,10,19,13,15,19,25,18,12,15,18,21,20,19,19,16,17,19,17,17,16,19,28,16,19,21,15,11,10,10,14,24,11,14,14,24,18,16,22,15,11,24,14,22,25,20,23,13,26,18,16,13,16,20,14,17,19,15,22,21,25,18,16,26,19,20,21,21,11,20,17,15,14,16,15,22,25,23,21,14,23,22,21,19,23,16,23,18,25,18,10,15,18,25,22,20,16,24,27,13,22,15,21,18,20,16,13,17,29,19,16,18,19,11,15,16,19,22,26,21,11,21,18,11,11,8,11,8,4,6,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,2,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,2,1,1,1,2,2,4,7,4,6,4,4,13,10,9,8,16,12,13,21,17,13,18,23,15,9,18,22,18,17,14,17,19,15,21,26,24,19,14,30,11,23,16,20,19,17,18,20,20,19,15,16,21,19
19,25,14,24,21,19,22,16,15,18,17,21,15,22,14,19,19,14,23,11,11,15,20,16,20,22,18,17,18,16,14,17,17,10,16,19,31,20,21,22,15,19,23,16,18,26,15,20,25,22,19,24,18,13,21,22,12,19,14,10,20,16,21,20,14,9,21,15,19,23,26,22,21,12,13,7,22,13,22,10,15,16,22,24,27,15,17,16,15,26,18,20,11,16,20,19,14,14,25,11,16,15,18,17,16,17,18,9,13,17,22,17,15,23,20,18,18,18,17,28,12,15,25,14,22,17,15,22,18,11,18,18,25,22,22,20,20,19,17,24,18,14,26,10,13,10,13,18,20,26,19,19,19,6,10,12,8,12,8,5,3,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,2,0,0,0,2,2,0,0,0,0,0,0,0,1,0,2,1,1,0,1,3,2,0,0,1,4,2,1,2,2,3,1,3,2,0,2,8,7,3,7,11,15,11,8,12,10,13,16,10,21,16,19,11,14,20,18,17,23,19,23,17,15,17,11,13,10,16,20,16,18,21,22,18,17,24,18,18,14,18,15
18,10,20,22,8,20,28,20,20,20,17,23,22,20,19,16,19,23,14,12,18,15,19,16,15,14,23,21,21,20,14,21,15,9,18,11,14,21,17,13,20,21,10,20,16,13,16,16,18,15,18,30,24,17,11,13,19,18,15,12,22,18,23,13,35,16,21,16,23,17,18,18,13,12,16,21,15,13,14,26,17,18,16,23,17,15,17,28,16,19,18,25,14,16,18,24,15,16,23,31,22,14,20,16,16,16,21,13,20,15,13,16,20,16,16,30,19,20,15,22,24,19,13,19,17,20,19,14,22,16,16,17,11,17,11,16,17,21,16,19,20,19,23,17,24,24,26,26,22,25,11,19,14,21,11,11,7,9,4,4,3,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,1,1,1,5,3,3,2,5,5,5,12,4,11,10,9,11,11,11,14,16,16,12,13,12,15,20,15,20,16,18,24,19,15,18,20,17,22,18,22,18,19,17,17,14,15,12,18,18,16,16,15
23,19,24,17,14,14,18,26,12,11,17,21,13,11,20,25,22,32,16,20,19,19,15,14,16,14,15,18,9,16,17,16,17,18,19,18,17,18,21,18,19,16,16,14,24,20,16,23,14,15,17,18,20,12,30,26,20,24,17,14,18,13,10,14,8,14,16,8,24,15,15,21,17,16,18,14,16,16,14,16,19,19,18,19,23,12,22,26,23,20,19,17,23,22,29,23,15,24,20,15,21,15,13,15,22,30,23,21,20,22,15,17,12,19,23,23,29,17,14,18,19,22,19,25,18,22,24,24,12,16,22,22,19,26,16,16,17,17,16,13,18,21,9,18,21,17,10,20,20,17,16,15,18,9,10,5,9,8,5,3,1,0,0,0,1,0,1,0,0,0,0,0,0,1,0,2,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,1,2,2,0,0,1,3,4,2,4,5,4,8,2,7,8,5,12,6,5,12,11,20,12,13,18,16,9,21,11,18,12,14,24,14,19,18,16,23,17,22,17,24,18,24,15,26,15,17,19,17,23,23,17
18,13,19,19,26,18,23,24,20,17,21,16,24,12,13,17,17,27,20,20,20,18,16,17,18,21,14,20,19,25,27,18,15,18,14,13,13,13,13,10,12,9,23,18,19,20,17,19,13,19,18,13,8,18,21,17,19,23,14,28,14,13,21,13,17,22,26,15,12,16,18,16,14,23,29,21,18,20,18,14,23,20,21,19,19,11,17,20,25,24,17,15,19,24,17,19,23,25,15,14,24,22,27,23,24,12,23,10,16,18,20,25,20,17,20,18,20,19,15,16,13,20,17,16,19,14,21,18,21,13,18,12,16,15,18,25,16,20,17,22,16,22,12,19,16,15,17,16,20,12,12,19,11,10,14,10,1,5,5,4,3,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1,0,2,1,3,0,0,0,0,0,0,0,2,0,0,0,1,0,0,1,0,0,4,1,1,3,3,9,5,6,11,7,12,4,8,6,13,11,11,4,10,8,14,20,12,23,18,20,18,17,17,14,13,15,13,17,20,17,16,18,15,18,10,17,29,19,16,29,18,21,17
17,17,16,17,25,13,19,23,21,18,15,19,17,15,18,18,21,15,19,14,10,16,26,13,18,19,16,12,12,11,18,21,18,18,18,23,23,14,17,15,12,18,17,18,28,24,17,22,12,19,18,22,17,25,8,17,20,19,17,9,18,18,21,17,20,20,22,14,18,16,17,12,15,25,17,16,17,15,24,20,26,18,22,11,11,29,13,12,19,19,14,25,18,22,19,23,20,27,26,18,12,16,10,20,28,23,27,20,26,19,20,21,16,23,30,26,15,18,16,21,23,21,18,18,12,21,14,19,27,19,20,12,9,17,21,28,24,20,11,22,11,10,18,18,23,16,17,18,13,18,20,13,13,7,15,10,8,8,1,1,3,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,3,0,3,4,2,3,2,1,6,9,8,2,9,6,7,9,10,16,15,13,14,22,8,15,9,19,15,13,16,11,16,11,15,17,16,18,17,27,22,10,18,28,17,11,16,16,23,17,11,14,17
14,15,16,20,19,16,22,13,27,20,21,15,13,27,25,22,18,25,18,18,18,18,15,19,27,19,15,19,17,16,17,18,21,19,14,22,23,17,18,15,16,14,11,24,18,20,17,23,18,23,13,16,19,18,16,9,18,24,11,22,18,21,20,19,21,7,12,14,19,18,16,16,16,17,19,22,19,19,25,20,24,23,22,14,23,21,19,21,11,12,18,17,25,17,16,24,15,19,15,17,22,23,21,23,37,16,18,18,9,28,14,22,26,15,23,16,32,17,20,21,17,15,24,21,14,27,16,21,18,13,18,27,23,23,31,22,25,24,18,15,25,21,12,11,26,20,25,25,16,14,22,22,19,14,7,6,4,6,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,3,1,0,1,1,0,0,1,0,1,1,1,2,3,5,2,1,4,1,4,5,9,7,9,12,7,9,9,11,9,11,13,19,11,12,17,16,18,18,13,18,18,24,21,18,11,19,14,19,15,19,17,20,27,15,21,9,16,23,9,19
19,15,14,19,14,17,14,13,18,19,26,25,19,19,20,21,17,10,17,22,10,22,23,24,24,19,19,29,23,17,26,24,15,32,16,18,14,16,15,23,16,18,18,23,15,32,18,20,18,20,19,21,13,15,25,22,19,15,14,19,19,21,22,18,20,11,24,15,23,28,14,19,22,18,20,18,25,21,26,17,22,17,21,20,19,21,19,16,15,23,23,17,20,18,19,11,18,14,12,23,21,19,23,14,15,16,16,15,17,19,18,24,20,14,19,15,16,15,22,24,24,23,18,15,11,23,7,18,14,16,17,19,21,15,17,13,18,26,14,18,15,10,21,23,16,19,18,18,15,15,16,14,12,15,4,3,5,1,4,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,1,0,1,0,1,1,1,1,2,0,0,0,0,1,1,2,0,2,2,2,1,4,8,6,5,13,9,9,10,6,12,18,14,15,13,17,24,17,17,16,19,17,16,22,14,11,24,14,18,9,14,21,17,19,17,20,14,11,22,21,12,5,8,11
20,17,16,13,10,24,18,19,20,19,11,13,24,24,16,11,22,19,22,11,33,20,24,15,27,18,14,20,11,16,15,21,16,32,20,7,13,24,15,19,16,21,19,19,19,16,24,19,12,14,18,21,22,14,16,16,17,27,19,18,16,10,18,17,19,13,17,18,15,17,18,17,11,20,21,30,20,25,9,17,20,17,23,27,21,9,15,14,18,18,19,24,20,18,22,21,17,26,25,19,17,19,14,19,21,18,18,10,11,18,18,21,35,21,23,20,25,12,9,11,16,20,17,15,13,20,17,23,20,21,24,13,28,20,17,18,19,22,20,7,23,17,16,17,25,18,13,17,25,17,20,11,10,9,6,6,4,3,0,0,0,0,0,0,0,2,0,0,2,0,0,1,0,1,1,0,0,0,1,1,1,0,0,1,0,2,0,1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0,0,1,0,0,1,2,1,3,4,0,3,8,7,12,5,10,7,7,8,15,9,16,13,14,13,20,14,15,14,16,21,18,17,13,21,13,20,21,19,16,16,19,21,14,22,15,17,15,19,22,22,22,23
22,15,18,19,23,17,19,18,14,24,29,7,19,21,20,19,20,23,13,20,14,17,15,12,16,27,25,23,26,19,20,14,21,17,15,14,19,19,26,12,15,14,19,15,23,15,23,25,14,20,17,19,14,24,23,16,10,18,14,14,22,13,21,15,15,23,14,19,20,25,14,25,18,16,19,17,17,20,17,18,21,12,22,19,17,11,18,26,21,19,18,16,20,22,22,20,19,23,19,20,20,20,22,8,23,23,24,14,19,20,17,13,17,26,15,21,25,21,25,24,24,27,20,22,29,10,17,14,28,17,23,24,24,20,14,17,17,21,14,19,20,25,18,25,18,12,16,17,18,13,10,9,14,12,7,5,6,2,1,0,0,0,0,0,0,1,1,0,0,2,0,2,0,1,1,0,2,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,2,2,0,0,0,0,2,2,3,3,1,0,4,5,8,2,8,6,12,13,11,9,9,14,23,18,22,15,15,20,16,18,17,17,19,15,16,16,15,17,14,19,19,19,20,19,15,20,22,25,17,16,19,14
17,24,17,10,18,11,18,18,19,19,12,17,9,13,20,23,15,21,14,19,15,16,28,15,28,20,17,21,18,21,18,14,23,18,14,18,22,31,16,16,28,11,20,21,15,16,22,14,22,17,19,21,22,21,9,20,9,25,18,23,14,11,17,21,18,9,29,19,17,20,10,18,17,14,18,9,18,14,14,17,19,13,22,23,15,26,26,24,12,25,24,22,16,19,17,17,18,12,22,19,16,28,12,24,16,19,22,25,19,17,23,17,19,26,27,14,27,17,20,16,18,31,22,25,26,29,20,17,21,18,12,16,20,15,14,13,15,25,15,19,16,15,24,14,24,23,20,19,14,18,17,10,11,6,5,4,0,2,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,1,0,0,0,0,1,0,0,0,2,1,2,0,1,1,0,0,1,2,1,1,0,1,4,2,1,0,7,2,5,9,4,9,8,14,5,17,12,10,16,14,14,15,16,13,13,16,19,17,10,11,18,18,21,22,17,19,27,19,22,16,15,16,15,15,15,12,14
20,17,28,23,14,21,19,22,24,16,15,21,21,11,17,25,11,17,21,17,15,11,18,17,14,22,23,26,20,20,15,22,14,16,9,19,26,13,27,22,17,18,25,23,16,21,21,21,15,15,26,13,22,15,15,15,10,13,16,20,24,14,19,19,13,19,25,17,13,23,19,25,17,16,19,15,27,13,11,16,23,21,24,20,16,18,14,14,20,15,19,33,22,21,15,16,19,16,23,20,23,13,23,19,23,25,26,17,20,23,19,18,20,15,18,19,23,24,25,21,16,18,12,20,23,19,23,20,18,17,25,14,21,18,15,19,12,18,8,17,22,21,13,20,24,15,21,13,12,13,14,7,8,6,8,3,3,1,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,2,0,0,1,0,1,1,1,0,0,2,1,0,1,0,0,1,0,0,3,1,0,2,2,4,7,3,3,2,2,7,5,8,11,10,19,21,12,16,16,15,9,14,15,20,14,22,11,16,25,19,15,26,19,25,19,16,22,19,24,15,21,17,10,27,24,20,19
12,22,16,15,15,18,17,22,18,19,9,17,13,22,24,22,15,26,16,25,21,17,17,19,24,27,23,18,18,19,13,16,12,15,23,21,22,22,18,13,17,21,17,19,24,17,22,14,18,24,13,21,13,17,17,11,19,19,16,15,16,19,12,16,19,17,27,16,12,17,15,15,19,21,14,15,17,25,17,16,19,20,17,16,22,22,21,20,20,21,14,16,12,25,18,18,21,25,18,15,17,20,18,17,25,19,18,23,22,13,18,27,20,17,19,23,20,17,18,25,18,23,22,18,24,27,17,23,28,23,17,21,21,18,17,16,22,25,16,18,18,21,21,11,23,22,20,12,16,9,11,14,4,10,4,2,0,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,2,4,5,2,4,4,8,7,7,8,1,9,13,8,13,14,14,20,22,20,13,17,21,25,9,22,19,20,14,18,17,22,16,23,24,22,20,22,20,26,17,13,10,20
12,20,15,18,16,16,18,17,20,12,18,22,16,10,24,22,20,33,18,20,19,23,19,13,21,17,18,12,13,15,19,14,19,14,19,16,11,28,22,19,21,27,20,19,32,25,16,23,19,29,16,15,20,19,14,22,15,21,20,9,12,20,20,13,7,9,10,12,15,12,22,14,12,17,27,20,17,17,16,22,16,25,13,24,16,10,20,17,22,21,22,21,25,14,17,20,25,27,24,21,23,26,16,12,24,18,20,20,29,16,17,16,22,24,21,30,13,17,15,17,15,29,26,20,17,23,19,15,21,16,13,26,27,20,13,17,15,26,21,19,19,20,19,24,26,28,20,18,21,18,14,13,6,8,3,9,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,0,2,1,1,2,0,1,1,0,2,2,1,0,0,1,2,0,2,1,2,1,3,4,8,7,4,3,8,7,13,12,15,15,14,11,11,13,14,15,19,18,20,15,16,11,20,17,12,17,19,14,20,15,17,16,15,23,13,14,18,19,15
23,15,18,15,18,14,15,25,21,10,16,18,19,17,17,17,23,23,21,15,18,24,19,19,14,27,29,25,16,13,16,19,17,21,12,20,17,19,27,18,21,17,27,22,16,18,15,17,11,27,24,20,13,14,10,17,25,13,11,18,19,18,17,16,23,13,5,28,12,15,17,16,22,16,26,11,18,23,19,19,14,24,14,18,17,18,17,15,15,16,24,16,15,20,18,15,14,17,22,16,25,17,24,17,21,13,19,18,8,16,29,14,23,13,21,26,28,21,28,19,18,19,15,14,17,22,14,14,20,24,18,19,31,17,29,19,21,20,24,19,28,21,17,21,17,19,22,19,15,16,18,16,9,6,10,2,1,0,0,0,1,1,0,0,1,0,0,0,0,0,1,2,0,0,0,1,0,0,1,1,2,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,2,1,1,2,0,1,1,1,4,4,4,3,1,6,8,9,6,6,12,13,13,8,10,7,14,16,12,13,9,16,19,24,20,25,22,19,16,23,20,17,23,18,25,25,17,21,12,17,24,16
15,17,19,21,20,19,16,19,16,14,15,20,19,15,19,13,14,16,20,10,14,16,11,15,24,19,24,15,20,20,11,14,17,20,18,17,16,21,10,12,15,16,13,15,13,17,24,22,12,25,22,18,12,17,9,17,21,20,12,14,15,17,15,16,10,18,18,22,16,14,18,8,24,22,32,19,10,17,19,15,22,14,24,13,21,19,16,30,22,17,13,16,27,19,19,18,18,11,16,21,20,17,17,13,21,14,15,11,20,18,26,14,22,24,29,20,12,15,18,16,13,19,28,25,19,20,22,21,21,9,16,18,16,17,13,15,22,21,14,26,19,26,17,22,20,20,14,16,19,18,17,15,9,11,6,8,4,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1,1,1,3,3,2,1,1,7,7,3,7,7,11,16,9,13,11,16,20,19,18,15,20,15,10,23,13,15,21,17,20,12,16,18,17,19,12,17,25,17,19,19,23,17,17
15,18,19,18,25,21,21,20,20,23,13,22,17,30,17,18,18,18,20,15,16,18,19,12,17,12,18,19,12,21,25,23,20,20,19,24,22,21,16,20,19,13,16,18,24,23,17,17,20,16,24,16,33,25,20,20,10,18,17,14,22,23,14,25,15,21,21,15,20,20,17,23,28,11,22,22,21,21,15,23,13,25,20,20,20,20,14,17,16,13,21,19,18,22,19,16,13,19,16,12,21,20,21,13,22,27,20,20,15,23,14,26,13,18,19,28,20,21,24,23,11,26,24,15,18,25,13,18,26,20,20,22,22,25,25,22,18,17,15,25,18,24,16,19,24,22,13,20,16,18,22,13,14,10,7,3,1,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,0,4,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,2,0,0,1,2,2,3,1,2,2,6,3,6,6,7,8,10,8,16,17,8,9,16,16,13,17,11,8,12,17,14,15,16,17,27,21,25,17,17,16,19,19,23,22,18,17,20,17,22,23
19,17,13,17,16,20,23,14,26,23,22,12,20,12,26,16,18,14,15,23,13,14,22,19,23,18,12,13,20,14,13,22,24,28,21,19,18,14,25,22,26,22,21,17,21,18,20,15,20,20,16,25,9,17,9,16,18,18,22,14,8,20,19,22,20,20,15,26,15,21,18,17,15,16,19,19,16,22,15,18,12,15,15,20,17,16,13,20,10,20,17,14,16,17,24,24,16,19,21,25,19,21,19,20,18,19,22,24,18,29,22,18,20,15,18,29,16,14,16,19,26,19,22,15,16,21,23,27,19,19,14,22,19,23,24,18,25,23,13,13,23,21,23,16,22,14,18,14,19,27,17,16,9,6,7,5,3,1,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,2,2,0,1,0,0,0,0,0,2,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,1,2,4,4,4,2,4,6,9,10,6,9,8,16,17,18,12,12,15,12,11,15,9,7,10,14,16,16,14,23,18,12,24,26,18,17,12,16,24,10,13,12,19,20
20,16,21,19,16,15,20,21,21,22,24,23,16,20,13,13,17,20,29,18,16,14,14,12,24,21,24,16,17,18,24,16,17,30,28,18,18,17,19,19,24,17,19,12,18,17,29,24,15,21,21,19,16,19,26,18,18,18,20,19,25,23,16,23,17,31,17,16,23,18,17,13,13,16,18,20,17,16,26,23,17,27,17,19,13,14,20,12,20,26,17,16,19,20,17,27,15,16,20,16,18,19,18,16,17,21,18,25,27,14,24,18,18,14,20,18,9,15,19,14,19,27,19,13,17,19,19,20,27,19,24,22,22,22,13,16,14,12,16,9,28,14,20,25,13,20,27,20,24,22,11,24,17,9,16,5,5,3,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,2,3,1,1,2,3,5,4,3,10,7,6,8,14,12,11,16,16,14,9,12,18,15,15,15,12,15,20,25,17,13,20,21,16,14,29,12,14,23,23,18,14,6
17,21,27,19,26,23,28,13,20,20,19,20,21,22,26,20,18,25,17,11,23,16,16,22,17,13,9,19,11,16,24,24,14,14,21,20,19,18,20,17,19,18,22,18,17,15,19,15,14,21,11,16,12,16,24,16,14,17,20,21,19,25,12,10,17,15,20,14,22,16,21,9,19,18,25,16,18,20,15,16,20,24,22,17,17,17,15,18,14,16,17,27,12,16,15,16,15,17,25,23,17,19,17,15,16,23,22,25,13,26,26,16,18,25,23,22,21,25,20,23,24,17,22,15,23,20,19,31,20,16,23,19,18,15,27,18,26,13,13,27,22,19,15,25,13,21,19,24,18,22,10,18,23,17,12,11,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,1,0,0,1,1,5,5,6,4,7,4,5,7,9,13,8,19,9,18,11,13,16,15,15,17,13,16,11,15,15,12,19,12,21,21,22,20,15,21,18,14,19,22,12,23
22,17,16,17,16,15,16,23,21,29,23,24,16,17,13,16,15,18,13,29,13,32,19,20,10,23,16,14,19,15,10,25,22,18,23,25,11,18,19,23,15,21,18,14,16,13,21,13,18,10,19,17,17,18,17,18,23,18,21,6,21,13,17,21,16,9,18,22,18,16,24,11,18,16,14,23,20,11,17,21,19,21,18,14,26,17,10,13,29,18,8,15,20,14,20,15,20,14,26,20,18,21,20,23,20,23,25,19,25,19,27,22,25,15,15,24,24,22,17,21,14,17,20,17,21,20,11,13,19,22,16,22,25,23,34,9,17,16,21,17,16,23,18,18,21,19,17,16,23,24,27,19,21,12,11,11,8,3,3,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,2,0,0,2,1,2,1,1,3,2,2,2,5,5,4,7,9,3,10,18,17,10,13,12,16,18,14,7,15,16,19,16,16,11,20,20,17,28,13,15,14,26,18,16,17,15,23,18
15,22,9,19,18,17,17,24,16,25,26,19,14,22,13,20,21,15,14,16,19,17,15,19,13,14,17,24,13,10,12,22,24,14,18,21,13,19,22,18,17,20,12,20,23,14,18,18,22,17,16,20,14,13,23,17,17,12,12,21,12,16,16,19,12,15,24,18,14,22,14,19,8,19,13,18,20,20,21,22,21,16,18,15,20,20,17,18,28,25,18,16,28,16,17,18,16,16,16,21,16,29,23,15,16,19,17,16,18,13,13,16,17,30,24,23,23,15,30,24,16,25,17,21,21,24,20,23,18,20,20,13,20,27,14,27,20,12,18,20,17,21,23,18,23,28,13,15,18,21,12,19,13,18,13,16,10,3,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,2,0,0,2,1,0,2,1,1,1,0,0,3,5,3,10,2,3,4,4,10,9,11,8,9,17,13,22,8,16,7,24,18,20,9,17,5,15,13,17,22,13,19,17,11,11,18,19,16,13,12,15
20,11,19,22,23,20,18,17,18,17,19,17,18,14,10,14,14,31,17,18,18,11,18,16,21,18,13,12,15,22,14,13,20,16,15,10,14,20,12,13,16,19,13,18,19,12,13,33,16,15,15,23,13,10,15,20,15,15,13,17,18,15,14,12,24,14,16,22,8,18,19,22,21,19,22,20,13,23,23,21,21,25,19,20,16,18,14,23,24,17,14,20,16,18,18,18,19,14,16,29,21,22,23,24,17,22,19,11,17,13,27,19,22,13,30,21,11,18,20,16,19,22,16,13,26,23,20,23,15,21,12,22,24,25,19,18,18,24,27,19,16,15,24,28,19,31,20,18,24,15,26,13,18,20,15,11,9,7,4,3,0,0,1,0,1,0,1,1,1,1,0,0,0,0,0,1,0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,5,1,4,0,1,5,2,5,8,4,7,4,3,6,7,10,14,16,13,15,17,14,12,11,18,15,14,21,13,16,19,21,17,16,19,27,14,20,18,16,13,19,21
16,10,24,25,21,15,25,14,16,18,12,18,15,26,22,16,24,17,16,11,16,17,16,21,20,23,15,18,19,15,20,23,23,21,19,14,19,22,23,21,18,17,17,14,15,19,14,21,18,20,18,21,16,15,15,12,23,20,14,13,23,19,23,18,23,15,16,10,16,21,14,23,15,11,15,18,24,20,12,25,16,26,19,20,17,14,14,18,12,17,17,18,21,10,19,21,18,16,15,25,16,16,16,22,22,23,17,31,27,24,18,20,16,14,10,24,20,16,23,20,24,23,16,14,16,17,23,21,32,14,22,23,12,16,14,20,25,28,19,15,15,29,15,14,23,25,17,30,26,18,12,28,28,15,15,6,13,7,5,1,0,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,0,1,2,1,0,1,2,0,0,0,0,0,1,1,0,2,0,0,2,3,6,3,4,8,4,9,4,14,8,7,12,9,8,23,14,14,17,10,21,24,20,18,9,14,18,19,16,14,21,23,23,15,16,15,14
19,23,23,22,21,17,17,18,6,21,18,19,23,15,24,18,21,25,20,12,14,28,17,12,15,15,20,17,17,19,14,12,13,23,21,19,18,18,17,23,26,14,15,17,17,7,19,25,25,15,14,18,20,14,18,14,20,16,16,12,20,23,17,13,20,22,24,18,16,22,16,18,19,15,22,16,22,21,20,23,16,15,17,11,19,20,16,17,25,11,22,11,23,19,15,21,18,20,18,13,16,16,21,26,22,21,20,13,20,15,20,29,20,16,20,20,21,19,18,18,20,28,20,13,24,14,10,21,15,21,25,22,19,16,13,17,19,21,23,25,20,21,23,12,25,16,30,20,16,19,21,21,16,24,17,20,11,12,7,1,1,3,2,0,0,0,2,0,0,2,1,0,2,0,0,1,0,0,0,1,2,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,0,0,1,1,1,1,2,1,3,4,2,5,4,4,2,4,9,8,4,9,13,17,8,13,14,18,12,17,13,18,18,17,23,19,26,26,21,14,15,15,18,19,13,16,16,15
17,15,16,16,11,18,17,18,21,14,15,15,26,20,15,20,23,22,21,24,14,17,21,21,18,24,15,15,21,21,25,16,22,14,13,27,20,16,11,20,24,19,18,12,20,31,19,11,12,11,18,21,17,26,14,13,24,15,15,16,18,21,21,19,19,23,11,23,16,15,19,34,26,10,19,15,15,23,19,20,21,11,13,18,20,19,20,13,20,17,19,26,15,18,9,20,16,18,18,17,23,17,19,16,12,23,14,13,18,21,17,16,25,19,21,24,18,30,19,27,17,29,23,21,24,22,22,13,14,19,15,17,20,20,18,26,27,21,26,22,15,21,19,25,22,15,17,16,20,20,19,16,23,9,16,15,10,9,7,4,3,4,1,2,3,1,2,1,0,1,2,0,1,1,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,2,0,0,0,0,0,1,0,0,0,1,0,5,0,0,2,0,0,1,1,4,3,2,6,8,4,5,3,6,4,12,8,12,18,16,15,11,9,15,9,24,12,14,25,18,16,15,17,17,16,18,20,17,23,16,16,18
20,19,15,12,9,23,21,26,17,14,18,13,19,19,22,17,18,19,5,20,17,22,10,24,26,8,21,13,20,27,26,17,21,20,26,19,19,15,14,24,11,18,12,20,11,14,19,17,25,17,21,23,21,22,20,21,14,21,21,24,13,17,19,22,23,21,12,25,14,18,17,16,20,15,16,15,20,24,8,17,21,16,18,19,19,14,11,11,22,13,16,10,19,10,19,15,20,24,15,16,27,20,18,24,13,20,17,22,19,17,20,18,15,17,24,20,20,28,17,13,24,16,18,11,27,14,16,27,25,14,25,17,21,12,19,21,21,22,17,20,17,20,22,15,25,12,30,19,18,31,14,20,15,24,16,16,12,18,3,4,4,4,4,6,1,2,1,2,5,4,2,3,2,2,5,3,3,2,1,3,2,1,1,0,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,2,2,0,1,0,1,1,1,0,2,1,2,2,1,4,3,2,3,6,7,8,9,15,14,14,15,22,20,15,13,14,24,16,20,19,21,17,19,19,17,15,14,23,26,26,16,21,25,23
18,23,16,22,11,18,18,22,26,22,15,16,17,23,24,28,12,30,17,16,11,25,21,24,15,21,19,21,11,17,19,16,23,15,24,20,14,12,22,14,15,16,16,18,15,16,16,19,26,16,19,21,12,11,21,19,20,15,23,16,23,20,20,19,18,23,16,15,12,17,17,15,16,17,20,18,15,22,18,9,21,16,23,18,16,12,26,22,13,23,15,20,23,16,18,15,19,24,22,18,25,24,16,23,9,16,16,18,11,25,16,21,18,19,20,15,24,20,22,16,22,18,17,25,24,19,13,22,14,18,12,27,16,17,17,16,24,27,19,21,20,23,18,14,25,17,23,21,21,22,21,25,18,20,14,15,18,12,7,6,3,3,1,2,5,3,4,2,5,2,6,2,6,6,5,1,3,1,2,2,4,3,0,2,3,0,2,1,3,1,0,1,3,0,0,0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,2,3,1,3,0,1,2,4,7,11,8,9,7,16,16,15,9,12,17,8,16,15,19,14,17,19,14,16,16,16,15,21,21,25,14,19,17,18,17,17,13
24,24,15,17,19,23,16,14,8,19,20,19,19,17,25,17,13,14,22,17,20,18,16,26,23,15,14,21,26,24,13,14,20,9,18,15,20,16,24,18,14,13,21,11,15,14,15,23,17,16,21,12,11,15,13,16,13,18,16,19,14,27,19,20,15,18,17,15,23,11,17,20,29,16,15,15,15,20,9,17,19,22,20,14,13,16,23,22,23,17,19,23,14,22,18,20,26,19,13,19,19,18,23,24,20,15,16,13,24,23,22,20,18,20,19,22,11,18,28,22,29,27,18,15,16,12,23,23,16,18,22,21,19,21,21,24,22,19,13,21,19,27,14,25,22,20,20,14,17,23,18,28,24,20,19,14,25,14,7,6,9,3,5,5,9,7,5,6,2,5,7,5,3,2,6,1,5,4,7,3,5,1,4,2,2,2,1,2,2,2,1,1,2,1,1,1,0,1,3,0,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,0,2,0,3,0,3,3,2,4,6,6,7,10,10,9,12,9,9,14,19,9,19,14,17,18,16,22,13,18,19,20,22,16,25,11,14,22,15,16,20,22
15,25,23,14,13,27,18,15,14,24,21,14,28,22,23,14,15,18,18,16,16,15,18,18,14,27,15,19,18,15,18,13,26,21,20,18,13,19,17,10,15,15,21,16,18,29,12,20,20,19,18,13,14,13,22,17,22,15,19,16,17,18,18,20,13,15,30,16,13,15,27,11,13,25,19,11,23,15,13,11,16,15,20,21,16,26,7,19,17,17,20,10,18,8,20,12,21,18,19,12,25,14,22,19,17,13,16,17,15,24,24,19,16,18,22,23,22,20,27,14,25,17,17,19,16,17,20,23,19,19,21,11,16,22,21,12,19,12,16,32,19,19,20,28,13,29,17,18,24,17,21,16,18,19,23,29,19,23,18,7,5,7,5,5,5,2,11,10,8,1,3,5,8,6,4,6,9,6,2,3,6,8,3,2,4,4,1,2,2,2,1,2,3,1,2,1,1,3,1,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,2,0,1,2,2,5,4,2,2,4,6,5,9,6,8,16,11,18,9,11,8,13,14,20,15,14,17,15,22,13,15,15,16,17,14,21,13,12,23,11
21,11,23,23,17,25,18,20,12,17,13,16,27,17,16,21,19,13,18,19,18,16,18,14,19,11,25,12,19,14,21,13,23,10,15,19,23,19,16,20,17,17,19,23,10,13,25,27,22,27,22,16,15,27,8,22,23,15,17,13,22,23,15,18,19,19,14,19,11,13,20,23,27,19,16,20,18,23,10,24,18,16,16,14,18,26,9,16,16,13,17,13,15,12,22,18,22,29,17,22,19,18,14,23,15,18,12,17,31,18,15,14,18,18,26,29,19,17,17,22,15,25,25,21,18,15,17,28,20,16,22,22,19,17,17,21,11,21,10,25,24,18,12,23,12,23,16,18,27,28,20,23,18,18,13,15,17,13,11,10,7,8,5,5,9,6,8,13,6,11,2,2,8,5,7,8,6,5,7,5,10,8,9,4,4,6,3,2,5,3,5,5,4,6,2,4,4,5,4,1,1,6,1,1,1,2,1,2,1,0,0,0,0,0,0,0,3,1,3,2,4,3,6,3,1,4,7,4,4,12,9,10,17,13,13,14,15,13,12,21,10,13,19,13,13,10,18,12,20,15,15,20,14,23,18,22
11,12,12,11,17,18,16,20,24,17,25,11,23,25,16,20,13,19,16,18,11,18,17,19,13,14,17,15,26,15,10,15,18,11,16,33,24,21,23,17,18,16,16,25,16,15,23,18,16,21,17,20,22,20,20,20,26,22,18,12,22,27,16,24,20,19,17,19,20,20,17,14,17,12,18,16,17,16,15,27,22,16,21,16,19,19,18,14,17,14,13,20,16,14,19,16,11,12,19,21,27,17,13,13,14,19,21,16,23,7,17,15,22,22,27,18,17,23,16,18,19,13,22,19,14,16,26,18,20,17,17,22,17,16,21,16,18,13,31,12,26,11,21,25,23,15,15,16,20,23,9,19,24,11,21,19,14,17,13,8,7,9,12,8,3,8,10,7,12,12,9,9,9,7,7,10,7,14,10,5,6,9,6,3,3,9,6,2,5,6,7,4,5,5,8,6,3,4,5,8,3,2,1,5,1,2,3,0,0,1,1,0,1,0,1,1,1,1,1,1,3,1,0,2,5,5,3,6,4,6,9,8,16,9,12,17,11,21,8,16,21,17,21,18,11,21,15,19,22,19,16,13,18,22,13,29
12,12,19,19,26,16,15,15,22,17,30,21,12,11,12,13,18,11,17,14,13,19,15,20,18,18,24,20,10,18,17,8,11,12,15,21,23,24,21,25,18,18,12,17,19,20,28,24,16,16,12,15,22,20,16,21,24,16,16,11,16,16,13,17,17,11,24,20,19,16,14,19,13,17,21,19,15,18,17,18,15,20,15,17,13,15,22,15,22,18,15,16,23,18,20,25,18,19,9,14,16,18,11,14,24,12,17,20,17,14,21,25,17,18,12,30,20,15,22,22,17,23,19,20,19,22,24,19,29,22,15,26,17,32,22,26,12,23,21,28,24,25,17,18,25,26,24,19,20,20,18,12,14,20,33,26,18,22,13,11,9,12,5,11,7,12,18,13,12,5,11,10,9,11,9,5,12,11,7,9,6,6,8,7,9,7,9,4,9,7,9,4,12,8,7,6,8,10,8,11,6,6,4,2,0,4,2,5,4,3,3,3,7,2,2,0,2,3,4,3,2,2,1,2,3,3,5,4,3,8,7,7,11,9,18,11,20,18,17,17,13,12,18,18,15,13,8,19,16,21,22,15,26,5,22,26
20,15,17,16,16,14,24,20,18,21,21,11,15,12,22,13,15,12,17,17,20,17,13,14,19,25,21,26,12,11,17,10,18,23,18,15,23,20,10,11,14,20,13,13,23,16,18,15,22,15,19,19,14,29,14,21,21,11,19,16,18,17,18,26,13,24,13,18,28,14,20,22,22,16,11,13,22,16,12,20,21,17,21,19,16,21,19,20,16,23,20,12,10,9,24,14,15,17,21,19,22,16,14,12,15,18,28,23,16,23,28,22,18,16,21,21,21,20,21,17,20,20,21,17,10,23,20,19,23,21,18,14,20,29,24,23,23,18,25,16,21,13,20,22,12,20,20,17,22,17,22,23,17,22,23,19,22,15,13,12,10,6,16,13,15,11,10,10,10,12,4,8,9,7,8,9,13,11,8,12,9,8,4,9,16,10,10,7,11,8,8,8,5,11,4,10,7,4,5,7,7,8,7,11,6,12,8,4,4,8,0,2,2,4,1,3,3,5,3,1,2,1,2,3,2,2,4,7,5,7,5,6,5,7,10,11,12,16,10,13,11,11,11,15,20,19,21,11,15,9,17,17,14,18,17,22
13,17,23,20,14,12,21,19,13,13,13,17,18,23,13,19,16,10,19,17,24,20,17,19,19,19,17,16,17,18,14,18,19,17,11,20,19,17,11,14,23,22,20,18,17,22,20,16,25,18,23,19,16,13,19,22,19,15,17,19,16,16,13,27,19,21,20,21,7,20,13,14,17,18,18,17,15,20,21,22,23,19,17,21,19,12,13,22,15,9,17,20,21,16,20,10,15,15,13,17,12,21,18,14,17,19,19,24,13,18,18,13,19,20,17,21,20,24,20,15,14,17,25,19,18,18,21,17,18,23,27,22,17,19,16,16,26,15,24,21,14,26,21,21,20,27,16,24,19,19,15,15,9,18,24,18,13,14,14,12,12,7,12,10,13,6,11,14,8,17,9,11,10,13,10,7,5,12,6,15,8,8,9,8,10,3,11,11,10,9,7,10,8,7,7,10,8,6,12,8,8,8,8,10,5,5,7,4,6,2,5,2,3,5,4,5,3,2,4,7,1,3,2,0,5,5,5,2,0,1,5,15,11,14,20,18,15,17,14,20,19,18,18,14,23,12,21,20,27,17,17,20,13,17,17,19
17,20,15,16,14,22,21,20,23,24,18,20,16,13,14,18,13,21,12,15,17,13,18,15,17,14,22,19,16,16,12,16,14,23,17,18,14,23,11,18,15,19,13,19,21,11,14,16,25,16,11,22,25,21,23,8,16,18,19,14,21,9,19,18,22,24,20,14,19,22,17,19,15,16,26,18,14,18,13,15,18,16,14,7,13,21,27,20,20,24,19,18,20,20,28,14,14,10,12,25,12,16,12,18,13,17,14,18,30,27,20,17,17,19,14,12,21,15,17,17,21,15,12,18,13,13,23,22,11,24,16,19,19,26,20,19,14,23,17,22,15,21,15,22,14,16,17,16,18,14,19,20,18,28,13,11,9,21,7,3,11,9,9,12,14,13,15,7,17,11,17,7,5,17,7,9,9,12,14,9,11,15,7,15,8,9,9,7,5,7,4,8,4,10,6,7,11,11,5,8,7,5,10,7,7,9,10,7,5,3,5,3,15,1,6,10,3,5,3,7,7,4,3,8,8,8,7,0,4,3,6,12,9,13,14,12,11,5,15,14,13,17,20,14,14,13,24,11,15,9,13,17,16,27,21,14
23,14,20,21,24,21,16,22,16,22,19,10,19,20,16,18,14,13,11,17,22,15,20,11,16,18,15,24,19,22,17,18,12,17,23,8,9,14,23,17,8,22,18,27,22,13,21,26,25,14,13,21,21,16,11,15,20,31,19,16,19,15,14,16,14,20,16,18,22,21,24,17,18,21,17,15,13,20,21,17,17,21,15,19,18,16,21,14,17,12,13,17,15,18,16,20,21,20,12,27,21,12,20,13,22,10,15,17,19,17,19,23,25,9,22,17,18,16,13,23,21,22,19,22,16,16,28,17,24,11,13,19,20,10,20,17,21,19,19,16,20,20,15,27,16,22,20,21,18,13,22,18,23,25,12,17,16,11,11,5,7,14,8,9,12,14,10,14,10,11,7,18,13,22,10,10,15,10,12,15,8,17,13,12,9,10,24,11,11,5,9,13,8,5,8,7,8,10,8,8,9,14,12,12,5,5,10,13,13,10,13,10,8,5,12,9,9,7,9,8,5,8,9,8,4,8,4,5,8,8,10,12,11,6,10,19,14,10,16,17,19,22,14,18,15,19,25,12,19,21,21,21,16,19,18,18
21,24,11,21,15,19,16,17,20,24,14,20,17,21,12,16,10,13,22,22,14,21,13,15,13,21,15,18,18,13,21,18,17,18,13,11,18,16,19,14,17,11,20,22,16,19,18,24,19,19,18,20,18,23,20,15,19,21,14,14,21,24,11,21,26,12,24,19,20,12,15,15,23,21,14,21,24,9,15,19,17,12,15,18,17,10,16,20,27,20,12,10,20,12,19,14,15,21,22,16,19,15,26,24,19,18,18,16,20,13,20,12,14,14,23,11,16,14,15,25,32,23,23,25,12,16,23,16,16,14,19,18,21,23,16,13,13,20,20,18,17,22,24,19,21,23,19,22,15,17,13,23,27,15,21,15,16,16,15,8,12,7,8,11,14,16,25,12,6,9,12,13,11,11,11,7,16,12,16,10,13,12,10,11,11,10,14,6,7,13,14,9,12,9,10,11,7,9,9,10,17,8,7,13,7,10,10,8,13,7,17,8,11,15,11,13,10,9,5,5,10,8,7,12,10,13,11,12,5,6,9,5,8,5,9,13,18,12,18,24,19,19,18,19,14,16,11,18,11,22,15,21,14,18,22,16
12,14,19,16,20,8,17,17,14,16,17,14,18,14,21,25,16,14,19,11,19,13,16,15,19,19,18,27,16,23,12,17,13,12,19,13,13,15,20,18,25,12,13,12,22,22,17,19,13,24,18,17,14,15,24,11,21,17,11,15,18,17,19,17,15,22,20,11,16,17,20,20,12,24,21,22,29,17,21,20,19,16,20,23,16,21,16,12,17,16,9,24,24,14,26,20,15,21,16,15,23,22,19,17,12,15,17,17,18,17,20,14,22,21,16,17,16,13,11,24,23,25,29,22,19,26,19,18,18,13,24,18,18,16,21,25,13,20,16,20,21,15,18,23,23,20,13,23,30,26,21,32,22,18,17,17,19,10,2,11,10,8,10,8,14,16,13,15,10,13,13,20,18,11,10,13,7,8,13,12,13,14,12,13,10,13,15,13,10,13,14,11,9,9,14,12,9,10,12,8,16,6,13,6,11,8,9,13,13,15,12,6,18,11,18,17,10,10,7,9,10,14,8,8,14,14,11,7,14,12,11,10,13,19,18,11,12,18,15,21,11,19,19,13,17,15,15,20,17,27,19,18,23,9,19,14
17,14,17,14,17,17,26,16,9,15,22,14,15,17,12,17,23,22,28,12,21,13,16,18,24,13,16,19,20,21,20,19,14,14,16,22,17,20,18,21,19,17,17,20,18,17,16,18,21,20,16,21,18,13,19,19,15,14,18,17,13,15,25,13,11,19,27,23,20,12,18,15,14,14,15,19,20,19,13,16,23,19,13,15,25,23,19,29,26,26,13,23,22,13,22,20,12,19,13,26,17,27,26,15,15,18,14,16,19,16,16,25,29,26,20,19,22,18,17,21,20,20,19,17,18,21,11,18,30,19,15,25,24,17,29,15,20,20,32,24,34,19,16,20,19,19,21,13,18,20,18,25,15,12,20,15,14,10,11,8,8,5,7,7,10,12,10,9,13,7,8,15,19,12,12,11,19,10,13,14,15,12,7,19,16,11,9,14,12,6,12,18,11,10,8,4,13,3,12,11,12,14,10,12,10,8,12,8,4,8,9,8,14,9,7,6,12,13,12,13,14,7,11,14,18,22,13,9,12,8,9,16,8,17,14,10,17,26,14,17,20,23,18,17,19,20,14,17,24,21,9,26,18,19,16,13
20,11,13,13,29,18,11,20,25,21,11,18,19,20,15,18,24,11,20,20,17,14,16,21,12,12,13,11,13,17,12,18,25,20,20,22,26,18,18,15,19,15,18,25,23,11,16,17,21,15,15,19,22,15,16,14,22,20,12,13,24,15,16,23,18,21,15,19,12,28,18,23,15,19,8,27,18,16,23,18,25,20,20,24,16,15,18,20,15,23,15,18,28,17,15,23,21,21,18,12,17,19,22,14,16,18,14,18,20,13,16,18,16,19,20,24,20,16,12,18,18,22,32,22,14,22,19,25,15,16,24,17,12,24,20,15,17,22,20,15,15,11,22,27,19,22,22,23,21,16,17,14,12,23,21,11,12,9,11,10,12,11,13,11,3,14,15,7,13,13,7,12,11,15,18,13,9,11,10,7,10,12,9,10,13,7,9,15,15,14,10,8,14,11,7,9,10,10,9,9,9,12,9,9,8,8,10,5,11,12,12,10,17,13,17,13,12,17,13,10,7,8,11,13,17,14,14,8,19,20,19,13,9,16,14,16,13,10,19,17,19,16,14,9,14,21,13,16,19,21,18,14,24,13,17,20
21,16,20,14,18,15,13,25,18,14,17,18,17,18,12,16,17,15,19,14,19,20,13,14,18,20,19,22,19,21,14,25,12,14,16,14,21,16,18,21,16,21,15,13,15,18,14,21,17,16,13,15,18,24,19,23,17,13,16,20,15,14,22,13,13,12,21,21,25,21,19,22,17,15,15,20,25,22,15,15,15,18,8,16,15,19,25,28,15,20,13,21,15,24,27,14,18,26,22,18,20,15,18,15,16,14,16,16,11,19,16,23,23,22,12,15,17,19,19,22,22,27,14,20,25,21,18,22,19,16,18,26,25,17,14,20,19,29,22,19,19,19,8,23,24,25,18,21,22,17,18,26,21,17,21,16,7,10,10,9,7,9,10,5,6,11,7,7,14,11,9,9,9,13,12,19,11,13,7,9,6,15,12,15,7,20,15,8,12,14,12,15,10,9,7,10,10,10,5,8,9,6,7,14,13,5,8,11,11,16,16,14,10,16,9,11,15,9,14,16,14,11,16,15,12,15,16,12,11,12,15,14,14,14,11,14,26,15,19,11,12,14,11,11,21,20,13,8,19,20,10,19,19,15,25,15
18,24,21,13,18,26,24,17,18,16,21,24,24,16,24,17,18,22,15,21,18,23,25,23,20,20,23,20,14,8,11,19,16,21,20,18,22,15,9,20,23,22,18,13,15,17,17,16,20,17,14,16,23,19,17,21,23,17,14,9,14,16,21,17,17,14,19,19,17,11,20,14,10,15,14,21,18,10,22,15,15,16,18,13,20,18,19,8,19,14,14,13,18,16,17,16,12,10,16,17,12,25,21,25,21,14,23,15,12,23,25,26,21,26,19,18,28,16,15,23,21,12,16,23,25,21,18,10,23,18,11,14,20,24,21,19,24,17,15,14,25,26,23,10,24,24,28,17,25,25,12,18,12,15,16,14,13,7,6,6,6,10,8,13,10,9,13,11,8,7,7,11,17,7,12,18,7,16,11,12,7,7,11,11,17,10,9,12,11,15,10,24,11,16,10,14,12,7,13,13,7,10,13,14,12,7,14,15,6,15,13,16,16,9,7,15,14,6,10,10,14,14,15,12,12,14,5,11,11,10,13,19,17,19,12,9,10,16,15,29,8,10,18,14,18,17,20,18,18,24,17,18,26,17,22,12
17,18,22,17,17,23,21,19,18,12,17,10,16,15,23,15,20,17,13,23,24,19,22,24,20,19,18,17,19,15,25,16,13,14,23,13,13,26,17,21,15,13,15,14,14,23,14,18,27,17,16,24,13,13,24,16,16,26,22,16,16,16,17,12,17,25,24,22,23,18,22,23,17,22,21,17,22,10,13,15,15,26,22,16,22,20,21,14,15,17,17,17,17,22,23,18,14,19,21,14,14,23,23,14,10,23,16,18,14,12,13,15,18,17,13,18,17,23,19,17,20,13,25,21,16,24,21,21,27,17,26,27,22,17,21,17,17,10,23,19,22,19,19,21,17,18,25,18,21,22,12,28,17,17,13,12,13,12,8,7,7,13,14,10,11,7,12,12,10,14,17,9,12,10,7,17,6,11,14,12,10,9,7,11,5,16,19,14,10,9,15,15,13,15,18,11,10,12,8,12,11,17,14,12,12,19,9,12,15,9,17,16,13,11,9,20,14,9,13,16,12,20,16,17,18,14,11,10,9,10,14,8,17,17,20,12,17,13,16,24,18,13,23,15,13,14,20,21,18,20,20,22,11,20,20,21
16,18,14,21,28,12,17,16,15,19,14,13,23,26,8,22,17,23,17,23,22,18,20,16,18,22,15,15,17,19,15,24,12,15,18,17,13,19,14,21,17,15,16,17,22,19,19,24,14,14,19,17,16,18,15,19,21,10,18,17,16,17,10,19,13,14,14,17,21,18,19,18,12,26,12,15,25,14,21,15,20,16,25,17,15,24,18,11,22,19,27,21,16,19,18,13,21,26,17,13,19,16,21,19,9,17,19,18,18,13,18,21,23,20,15,17,16,26,27,21,18,17,22,16,20,18,19,27,20,12,18,19,24,19,16,19,22,16,16,21,20,22,17,20,19,20,23,29,25,17,19,25,11,12,15,20,12,10,3,8,11,8,10,14,8,8,10,6,8,17,14,10,15,13,11,9,12,13,10,7,8,14,10,7,11,14,14,14,11,14,7,12,14,9,8,8,11,10,9,6,12,11,14,15,17,12,15,16,10,12,13,10,9,18,20,21,17,9,20,13,13,25,16,14,24,18,15,14,17,14,21,20,24,14,19,9,12,19,24,19,16,14,19,20,18,18,26,20,19,23,17,9,17,21,24,24
8,17,20,18,20,15,18,14,24,22,17,16,21,18,23,11,16,11,18,20,13,24,19,13,20,18,26,13,13,14,15,16,14,25,20,10,19,13,15,15,25,24,19,24,16,25,18,15,23,20,15,21,15,13,21,14,21,10,22,14,22,16,20,23,23,16,18,19,13,16,20,23,17,12,15,20,15,16,15,18,23,18,14,18,19,18,9,22,16,16,11,22,14,16,16,19,24,21,18,23,23,21,15,17,24,23,15,27,19,18,20,14,20,28,14,22,15,17,26,20,16,13,22,20,18,15,11,19,23,23,25,24,15,17,11,25,21,19,20,18,22,16,18,11,28,22,25,18,18,14,18,21,17,20,14,13,10,10,9,16,9,13,8,12,11,8,10,9,6,7,11,9,6,5,10,10,7,17,13,14,12,6,21,9,5,6,10,13,12,6,8,12,13,23,12,15,16,17,9,13,12,9,14,12,12,12,16,6,12,5,15,12,16,12,10,12,12,18,15,12,10,9,20,12,16,10,15,10,15,15,18,20,15,16,16,19,15,20,10,16,10,15,15,20,17,18,12,15,30,15,27,21,23,19,22,20
19,30,22,22,19,12,10,21,16,21,20,18,21,18,18,13,15,20,22,13,21,23,26,18,12,15,21,11,14,19,21,21,13,20,25,15,21,19,19,13,12,14,17,19,15,20,21,12,16,14,16,23,17,28,16,23,18,20,14,19,17,14,19,18,16,19,33,18,17,16,19,17,21,18,13,11,14,12,20,15,14,18,15,23,14,11,19,18,15,17,18,15,18,16,11,15,13,21,20,23,19,12,22,12,13,21,22,17,19,22,16,19,21,15,17,30,21,24,14,15,15,16,17,23,20,19,23,19,27,17,26,15,23,23,12,19,17,19,21,16,14,31,13,24,16,21,17,23,22,20,24,21,12,19,13,14,10,13,9,16,15,15,9,9,6,15,10,4,13,12,10,9,6,9,6,10,9,10,13,9,12,7,8,13,9,11,14,6,15,17,12,11,6,15,10,17,19,13,8,12,8,14,12,14,9,18,20,10,14,17,8,12,14,12,17,7,12,13,11,17,15,21,15,23,18,10,17,22,16,23,13,23,21,17,17,17,18,21,13,15,15,28,16,23,19,16,18,26,19,18,19,28,15,21,13,17
20,13,13,15,15,20,17,20,19,15,24,17,14,15,14,22,16,13,28,20,19,12,17,17,17,18,23,11,20,22,13,22,20,19,18,17,20,25,15,24,25,18,12,13,18,15,23,13,10,18,18,9,18,10,13,13,13,21,11,18,14,18,16,19,15,19,25,20,19,13,18,17,23,14,29,20,16,20,26,17,14,18,14,8,18,21,29,15,9,16,16,16,13,10,16,15,11,22,17,22,20,21,20,20,18,19,25,14,10,29,18,24,20,17,20,17,21,23,16,29,23,22,20,15,24,20,16,22,26,19,23,13,24,16,23,22,20,15,24,15,14,21,14,21,18,24,11,18,20,17,21,28,24,21,15,12,10,16,9,15,14,12,10,18,14,8,15,7,10,15,5,4,11,5,4,8,10,11,10,11,9,8,11,16,16,9,15,7,12,8,9,7,10,15,12,8,17,9,14,11,11,8,14,17,19,8,11,9,16,12,17,18,22,11,17,11,13,4,14,10,22,16,12,17,13,14,18,16,14,13,14,20,14,24,19,18,15,23,12,19,14,18,15,15,19,13,17,17,15,19,23,19,18,14,16,14
12,15,20,13,27,25,26,16,25,19,14,17,16,15,6,23,14,16,27,17,23,21,12,22,15,15,21,11,23,19,20,12,13,9,17,16,19,12,16,17,25,16,15,22,21,22,22,19,18,22,17,13,18,17,15,18,18,14,14,13,28,19,22,23,15,19,20,18,23,29,21,19,16,21,14,17,21,16,14,22,14,14,17,15,18,21,31,15,20,22,17,21,20,17,13,14,19,16,17,12,14,13,19,14,15,14,14,17,21,17,14,25,22,18,24,18,21,15,30,19,15,16,21,24,19,21,26,28,7,22,28,30,17,19,21,20,18,22,16,21,11,15,22,15,12,17,19,20,12,24,27,19,14,13,10,18,9,13,7,14,12,15,4,16,9,5,9,9,8,7,10,10,5,12,16,9,13,9,7,12,12,10,22,11,14,13,7,13,7,12,9,10,10,14,17,9,20,12,12,11,7,13,12,12,8,18,12,13,12,15,14,9,13,5,17,20,18,18,14,7,19,17,21,16,17,16,16,12,18,20,13,26,23,14,14,20,23,15,17,21,18,18,24,16,14,21,13,20,17,20,12,15,9,22,10,19
26,14,13,17,25,14,16,12,19,20,16,19,20,15,11,23,15,15,17,14,23,19,17,21,18,11,26,25,16,24,19,19,12,19,17,14,13,20,24,26,16,19,19,22,21,19,12,22,23,26,16,8,22,18,12,22,9,22,13,17,15,28,14,17,14,17,11,13,17,25,13,21,16,18,16,25,16,26,17,22,22,17,19,24,28,14,16,16,17,13,16,11,21,15,18,16,17,22,17,13,21,27,16,16,23,10,22,15,22,18,19,21,18,16,17,29,19,17,20,22,17,21,26,13,23,23,17,18,23,23,16,15,20,16,21,15,19,14,25,15,18,19,26,20,13,15,12,15,16,15,16,9,17,11,9,10,12,12,7,14,20,15,11,11,12,18,13,12,14,10,9,14,9,11,8,10,11,8,6,10,15,14,15,17,16,9,9,8,12,8,9,13,12,10,19,22,13,7,17,14,13,6,9,12,18,18,14,10,10,7,9,15,20,13,9,19,13,16,12,11,11,16,14,15,16,16,15,14,17,16,16,16,23,19,16,12,32,13,16,15,18,18,21,15,21,17,16,18,18,19,22,22,17,22,16,22
20,11,12,16,23,18,18,9,18,26,16,13,15,19,22,14,19,11,21,18,20,23,20,20,20,24,18,20,17,15,14,16,12,13,21,24,21,18,23,17,16,9,18,22,13,16,10,19,25,9,16,17,12,21,21,15,25,20,26,19,15,15,19,20,21,14,23,14,18,15,21,12,25,14,17,21,17,16,13,22,18,27,12,17,11,24,32,13,20,22,16,20,9,21,14,16,19,24,27,24,29,23,14,16,24,20,21,19,22,21,23,23,20,14,17,22,14,22,24,20,24,25,15,15,19,17,16,28,18,19,7,17,21,15,18,13,17,16,23,15,18,27,17,19,13,14,17,21,21,18,23,18,13,9,6,10,13,8,10,15,19,16,19,11,8,9,16,16,16,11,11,15,12,14,14,11,10,13,14,10,11,8,12,10,11,14,7,12,11,11,10,10,17,11,8,10,11,15,11,9,11,12,7,8,11,15,21,13,11,17,19,12,15,14,19,25,14,11,14,15,15,11,20,12,27,12,18,17,14,15,19,11,19,19,12,22,19,18,18,19,17,21,24,26,16,22,21,17,15,17,24,19,18,26,30,15
21,15,19,18,21,22,12,17,19,16,23,16,16,19,14,14,13,25,16,23,18,17,13,22,13,24,21,21,18,21,17,24,17,11,18,22,19,13,10,21,9,16,17,18,19,26,17,15,12,17,18,9,21,11,17,14,18,22,20,26,16,20,18,16,22,18,13,18,17,13,20,25,13,15,23,17,12,22,25,22,23,18,19,20,16,13,15,14,25,21,17,18,17,16,13,11,29,20,21,16,13,23,20,14,26,18,14,26,20,18,27,18,20,15,11,22,17,19,24,23,27,14,19,23,19,19,20,15,25,22,31,16,25,22,18,30,23,21,21,34,29,20,26,13,19,22,15,12,17,17,21,9,12,12,17,7,14,10,9,8,10,11,8,15,12,18,10,11,9,11,11,5,11,5,10,10,10,11,11,6,8,11,14,10,12,13,13,9,15,12,7,12,8,11,12,9,19,12,16,10,16,11,17,11,12,15,10,14,10,15,18,11,10,14,13,19,21,15,14,15,10,14,18,21,13,15,20,12,18,18,17,12,24,17,13,20,13,19,15,18,26,20,15,18,18,13,22,13,23,13,26,18,19,26,17,20
17,12,16,17,17,13,19,17,19,26,16,22,15,15,21,22,14,20,15,15,17,14,15,14,17,26,16,15,24,26,17,32,15,17,19,15,17,22,18,23,15,15,17,17,16,14,26,23,13,21,21,16,29,19,17,15,22,18,20,19,19,18,24,27,17,13,10,21,19,19,20,20,19,14,14,20,12,21,15,21,23,14,14,22,25,20,13,18,20,17,11,13,21,23,17,15,18,15,11,21,22,13,21,16,16,21,21,19,28,16,11,28,16,25,17,16,21,18,12,16,18,8,16,25,21,22,19,26,19,27,32,20,20,20,21,24,13,23,16,13,18,20,18,19,19,32,18,19,19,16,19,14,11,14,11,16,12,13,8,11,13,15,8,14,3,11,13,9,15,15,9,11,10,15,12,10,13,13,9,8,9,13,8,4,5,11,10,13,13,14,4,17,15,19,16,19,11,17,11,7,13,11,9,9,16,13,15,17,9,11,18,9,17,13,11,14,11,17,16,16,13,10,16,16,19,14,16,12,18,18,20,11,18,17,16,18,15,19,27,26,19,22,17,16,19,18,18,12,18,18,13,26,13,12,19,16
20,27,13,12,15,20,14,14,15,13,22,13,23,10,20,18,14,21,12,13,19,16,11,21,26,19,17,13,16,22,19,15,19,14,16,21,19,20,10,21,22,17,24,15,16,22,19,21,13,19,25,17,28,21,9,22,18,17,17,19,14,19,19,20,13,18,26,25,18,13,27,9,20,19,17,15,10,18,20,14,13,20,13,15,17,18,22,17,18,17,11,20,16,23,19,15,15,14,11,13,18,17,22,18,17,27,13,14,21,18,24,17,18,18,17,23,22,26,16,15,14,20,27,17,23,29,15,22,21,25,16,21,20,20,19,27,18,19,18,23,28,17,22,26,17,19,17,15,25,20,11,26,14,13,10,14,11,17,10,13,9,11,7,11,11,13,5,10,10,13,11,12,9,6,8,12,14,14,6,9,8,18,14,11,9,14,14,12,13,10,8,9,20,11,16,16,19,10,14,11,14,9,19,8,15,16,13,10,14,14,14,18,17,17,19,20,15,18,9,8,16,17,26,24,11,17,14,20,13,17,21,14,17,21,23,25,19,9,23,14,17,9,21,19,16,19,22,23,30,24,12,21,11,15,16,26
14,20,22,15,17,17,16,17,26,20,17,15,14,14,17,13,19,21,16,16,18,13,23,17,17,12,14,26,9,22,15,16,17,24,20,15,21,21,15,16,21,23,16,13,14,12,20,14,14,19,23,13,14,16,16,14,20,14,17,22,13,22,21,17,16,20,15,14,15,15,18,19,13,19,15,18,10,21,17,21,18,20,13,20,16,15,13,26,18,17,18,18,21,16,14,12,20,20,18,17,23,16,18,18,19,23,22,15,9,25,18,13,16,21,19,13,14,26,25,22,12,15,24,16,28,11,19,20,14,28,16,23,18,16,25,21,14,19,23,15,20,20,19,20,21,16,24,17,24,18,19,20,16,14,14,13,8,7,10,4,5,9,8,6,13,3,12,11,13,9,12,7,5,9,11,11,6,13,11,12,14,5,18,10,9,8,12,8,13,17,11,10,9,18,14,16,10,9,12,20,11,12,16,9,15,12,20,14,22,14,14,17,18,23,19,21,9,19,14,21,23,16,14,23,23,21,21,20,16,10,19,17,19,18,18,23,17,18,17,20,19,14,17,22,12,12,7,28,17,12,16,22,16,16,15,21
28,17,20,22,19,18,21,17,25,19,13,19,19,22,17,14,15,20,22,12,12,13,25,20,17,24,22,12,15,24,23,15,17,26,29,16,16,19,13,20,15,14,14,19,16,16,19,15,17,16,18,18,15,20,21,20,27,26,15,18,24,13,27,28,14,21,23,18,25,18,20,24,19,14,24,12,12,28,7,17,22,18,15,11,16,19,19,16,27,21,18,17,18,24,19,18,21,23,15,11,16,15,19,14,14,14,25,19,20,20,17,12,15,17,18,18,15,15,22,14,24,23,23,18,16,16,20,14,25,20,21,17,23,26,21,20,19,17,27,14,16,18,17,14,15,22,18,17,21,19,19,15,14,13,18,17,6,11,15,7,14,9,8,10,12,13,9,17,10,11,11,9,8,16,20,9,8,9,14,13,15,14,11,10,9,15,8,20,15,9,19,16,10,15,18,17,19,14,15,17,15,16,12,19,18,12,12,12,17,18,20,15,16,13,9,20,16,20,17,12,16,15,15,14,14,21,31,19,24,21,21,22,15,17,22,19,18,22,21,30,21,18,28,23,21,23,14,19,29,11,12,18,18,18,14,16
18,19,20,19,17,23,17,15,17,15,22,18,17,22,21,15,14,17,25,19,19,20,15,13,19,21,18,21,17,17,14,20,20,14,20,13,10,20,21,19,28,18,18,20,22,12,21,16,19,18,15,13,14,20,23,17,23,14,20,9,8,11,8,15,29,19,25,16,19,17,23,14,20,14,24,16,15,16,17,18,17,20,20,21,13,15,18,16,13,14,22,14,24,10,15,9,22,14,19,19,15,20,26,16,22,22,19,25,10,19,18,20,22,24,13,20,17,20,13,33,14,25,19,19,16,24,29,16,19,25,20,22,20,20,11,27,17,17,23,16,16,20,18,16,22,20,23,22,22,13,14,16,17,9,11,15,13,10,11,13,7,10,10,4,6,8,10,7,11,11,8,4,9,12,12,9,12,13,10,12,12,10,7,19,12,11,11,10,20,16,10,18,12,17,14,10,12,14,13,12,20,14,16,12,15,13,10,13,19,19,16,17,19,14,14,13,18,23,14,10,17,20,24,17,22,21,24,24,16,19,14,17,22,17,17,18,16,18,17,27,16,21,22,13,27,15,17,16,19,22,20,17,9,19,16,20
17,10,23,22,17,11,19,16,18,24,15,15,16,16,18,20,23,16,21,22,18,24,22,18,12,13,24,11,22,14,14,17,22,15,26,12,19,23,13,13,24,15,21,14,16,11,16,10,18,22,23,23,22,21,15,21,16,16,22,13,20,19,23,16,19,15,23,13,21,13,13,18,20,22,18,17,24,21,21,22,17,17,14,20,10,25,19,14,21,16,18,19,22,20,21,13,18,16,23,17,25,19,11,20,14,12,12,20,19,24,20,18,17,19,16,15,20,16,13,18,20,12,24,17,16,19,16,22,21,28,18,14,19,19,16,28,13,19,16,19,19,23,21,19,22,20,21,21,20,21,13,6,15,19,16,10,16,13,15,16,13,12,9,12,8,15,8,9,9,7,8,8,12,4,10,9,12,8,17,11,8,14,16,13,16,12,13,13,5,15,20,8,9,10,17,9,15,10,17,14,14,13,11,12,16,11,14,18,18,14,18,15,16,12,27,19,19,19,19,13,18,15,22,19,11,20,20,26,20,18,11,24,17,22,18,23,25,11,16,15,22,18,27,23,16,13,25,15,29,7,23,24,15,19,25,22
22,28,18,15,19,19,15,17,12,11,17,21,17,15,16,16,16,17,17,17,12,9,19,16,12,26,13,19,17,18,16,18,15,28,17,14,20,22,20,27,18,24,12,17,20,26,25,21,12,17,15,28,19,21,26,15,17,21,21,24,11,16,16,21,16,18,14,15,12,12,18,15,18,20,18,17,20,19,20,21,15,19,23,14,13,19,15,14,17,19,23,17,19,18,15,8,28,12,23,27,17,17,12,24,15,17,15,12,24,22,21,15,16,19,30,17,26,19,20,14,23,24,26,26,26,24,20,14,15,17,21,12,18,16,25,22,16,18,19,17,11,21,18,16,20,22,23,26,23,12,21,12,9,15,13,10,15,15,18,13,8,15,5,8,9,6,11,15,15,8,12,6,10,6,7,9,7,11,15,9,18,14,11,7,12,14,14,12,11,16,25,9,20,21,12,11,9,13,9,17,21,9,10,17,12,16,21,18,15,18,27,27,16,11,14,16,17,20,35,19,23,12,14,18,20,12,19,19,16,21,14,14,15,17,17,15,22,14,17,17,24,19,18,22,24,19,23,18,12,19,25,17,17,19,23,18
17,19,17,18,12,13,14,13,21,21,19,10,18,20,15,18,19,16,14,24,20,15,19,19,16,21,10,24,15,23,17,17,15,24,15,14,16,16,15,13,21,20,23,21,13,15,21,19,15,17,10,17,13,21,19,25,19,14,20,21,19,20,23,12,17,24,20,16,18,13,15,19,23,12,23,21,13,24,22,21,19,13,17,18,11,18,15,17,14,21,22,15,21,13,12,18,19,22,16,8,14,13,9,16,14,29,12,26,9,25,16,22,18,12,20,24,16,20,25,12,20,15,12,19,23,20,18,16,21,19,27,17,21,18,22,17,16,20,24,22,13,25,23,24,21,25,17,18,20,25,11,10,11,11,13,8,17,15,9,16,13,16,6,6,15,9,6,9,9,9,10,12,12,13,6,10,11,8,7,11,6,18,18,14,13,14,11,16,13,14,11,10,14,7,16,16,14,17,12,14,10,22,17,19,19,12,12,13,16,9,20,17,19,13,17,19,17,16,18,16,22,12,14,19,17,21,11,17,22,15,21,23,22,20,12,20,22,14,32,13,29,18,11,15,20,20,26,23,15,26,12,23,22,15,17,14
17,27,20,23,23,16,17,15,16,17,21,13,14,15,19,15,16,14,20,15,18,20,26,23,9,15,16,19,17,14,19,14,15,9,17,20,13,21,20,16,17,13,20,14,22,18,21,14,16,20,13,19,14,22,16,19,11,14,17,24,11,24,14,21,17,19,14,20,26,20,26,15,14,18,18,16,22,15,22,22,20,25,12,15,15,22,20,20,16,18,15,17,22,16,15,28,16,20,20,14,17,17,25,18,20,24,10,18,16,20,19,27,18,13,14,23,18,22,28,15,16,28,21,14,16,22,17,24,32,18,20,17,24,17,22,21,13,17,26,17,17,17,19,15,15,17,20,21,20,15,14,9,9,14,14,12,10,12,9,15,12,13,9,12,8,15,13,9,11,6,12,6,11,13,13,11,9,8,15,13,22,11,11,5,5,16,11,15,10,6,13,11,9,12,13,17,18,15,11,16,14,11,14,23,17,17,17,8,14,19,17,19,14,21,13,12,22,18,22,15,17,15,16,21,19,19,12,23,18,24,17,13,18,22,18,16,24,20,21,16,22,19,14,23,13,19,20,17,13,8,19,16,18,20,19,10
23,20,16,14,19,19,21,20,21,15,25,16,17,17,21,18,15,20,20,20,21,27,16,20,10,17,11,18,28,13,8,26,16,16,18,13,12,32,21,20,20,18,20,18,13,19,13,25,21,13,21,18,9,18,13,24,18,27,17,14,9,23,17,17,13,19,15,24,20,25,22,20,24,15,25,18,22,16,17,16,17,19,21,21,17,15,12,17,23,15,17,23,21,19,27,33,20,15,24,15,16,21,18,16,21,17,22,12,17,14,18,19,14,18,26,21,16,18,23,19,16,21,24,12,20,24,17,11,15,19,22,16,19,17,18,20,17,18,18,22,19,21,12,22,18,24,20,23,11,15,15,8,11,8,10,18,15,14,18,17,11,17,11,13,16,8,12,11,10,13,15,12,11,13,15,10,14,5,11,16,9,11,11,16,21,16,8,10,14,16,12,22,16,11,14,12,10,15,22,7,19,10,23,12,13,15,22,20,14,17,13,20,17,13,23,17,17,20,21,22,15,25,17,23,18,15,12,23,31,22,27,15,16,16,11,19,17,19,11,14,14,22,15,11,15,16,15,16,16,20,16,23,21,27,27,23
11,20,25,23,16,23,15,28,9,15,19,20,15,21,16,5,14,19,24,13,13,18,14,13,17,28,15,16,15,17,24,16,21,25,24,22,12,23,18,18,18,17,18,15,18,16,17,18,13,19,18,16,10,12,16,20,15,13,24,10,19,19,16,10,26,19,18,21,25,16,21,15,19,10,19,21,19,13,20,14,12,16,20,16,12,20,16,19,22,20,11,19,16,12,17,20,16,19,16,15,19,19,18,13,20,25,21,23,20,12,19,18,13,12,18,21,20,26,18,17,22,23,15,15,17,22,18,25,22,17,19,17,18,20,18,21,25,23,13,22,19,21,15,15,14,16,20,26,9,18,14,13,8,9,14,10,8,8,10,19,13,8,5,16,15,12,13,12,11,12,15,8,15,7,7,8,17,15,10,9,10,13,8,17,11,13,16,13,13,12,14,14,9,20,13,21,12,13,18,17,11,15,20,18,25,13,15,20,19,18,19,19,14,27,11,22,16,18,28,21,16,10,21,19,18,10,13,23,12,21,18,17,18,19,23,17,21,20,12,13,25,15,21,12,21,22,14,15,17,17,17,19,18,15,20,14
16,17,22,17,9,16,15,13,19,20,28,27,12,14,24,19,11,22,22,17,22,21,18,18,20,19,8,13,19,16,22,20,7,23,12,24,26,18,20,25,25,14,18,32,14,21,12,18,17,16,25,16,15,17,29,11,23,10,23,17,21,17,18,22,18,12,14,18,17,14,11,24,19,20,20,21,20,19,17,13,13,21,17,21,24,13,12,16,11,18,17,17,14,22,15,21,22,19,18,15,16,14,14,16,18,25,24,12,12,16,22,19,16,19,25,22,13,22,16,15,18,26,10,24,24,16,24,18,22,15,23,12,20,16,22,25,17,17,17,18,18,15,16,25,20,17,19,14,12,15,16,13,9,7,16,9,9,10,13,12,14,7,10,10,11,15,12,11,10,19,7,18,10,14,13,8,12,10,8,13,7,11,12,15,14,16,13,17,22,17,14,14,14,18,11,14,22,16,21,15,13,22,7,17,17,18,17,19,23,16,16,20,21,23,23,15,24,20,19,15,23,17,13,14,17,12,20,17,18,19,18,25,24,14,25,15,18,21,14,21,17,23,19,9,21,20,15,17,19,20,9,25,19,14,21,16
16,15,15,17,19,12,14,12,15,18,16,14,23,23,23,22,15,16,14,21,18,11,22,19,12,18,19,24,22,19,16,12,15,18,20,18,13,12,21,23,17,13,23,21,17,18,18,23,12,20,11,19,22,16,10,17,16,20,18,16,12,15,18,15,16,18,18,20,22,18,27,20,20,15,19,15,10,10,25,21,17,19,29,12,19,10,22,23,21,13,15,15,14,15,19,20,25,26,31,25,15,18,13,19,14,18,22,12,18,21,20,23,12,7,16,15,14,22,19,19,13,8,25,19,15,21,20,18,18,19,20,17,22,23,19,25,22,17,27,19,19,20,18,26,20,18,19,18,10,10,8,7,7,12,10,15,14,12,14,13,13,15,13,10,8,13,7,14,15,12,15,15,9,13,11,14,10,10,13,10,14,9,14,13,10,22,13,8,13,13,16,15,14,13,13,15,16,17,11,13,13,23,15,11,20,24,15,25,22,14,12,22,7,12,24,17,17,24,22,14,18,14,16,16,25,21,14,13,25,14,19,23,18,13,13,26,17,14,13,10,19,16,24,16,23,20,15,12,18,20,17,14,22,14,22,17
23,13,12,23,20,8,15,20,8,20,23,21,15,21,22,20,16,15,17,21,15,14,27,20,21,14,28,22,17,14,19,16,19,20,21,11,17,26,19,21,16,17,25,12,24,22,19,14,18,20,16,17,18,23,18,14,21,19,25,22,16,23,13,16,12,9,17,16,21,16,14,13,12,15,22,19,25,20,20,14,15,13,21,11,20,19,18,32,11,21,15,19,27,28,21,19,16,23,19,15,17,15,20,15,11,15,22,14,14,11,19,23,18,12,22,19,16,17,14,16,21,15,20,19,16,12,17,20,18,21,20,15,25,20,15,21,18,22,22,14,28,18,20,23,19,33,16,17,11,19,13,11,13,12,7,8,15,10,13,12,10,17,12,5,15,10,16,13,10,13,10,12,18,14,15,18,17,13,10,14,13,10,9,11,11,12,18,23,20,20,23,13,18,11,11,11,20,16,19,22,18,18,19,14,13,21,21,26,26,12,16,12,17,17,22,15,18,30,19,19,6,20,20,15,23,23,16,17,19,12,15,21,22,16,13,15,21,16,27,15,17,20,23,18,14,24,23,12,16,21,16,17,18,19,22,21
21,19,28,18,17,20,16,22,20,22,14,17,11,12,14,17,11,25,20,13,24,24,22,7,18,17,26,17,15,19,25,18,21,26,21,17,20,20,22,19,13,23,19,20,24,14,18,26,18,14,19,26,15,18,18,20,21,9,20,18,17,15,18,20,16,18,29,16,22,24,20,15,22,19,26,10,21,10,17,17,20,15,15,15,17,12,17,20,27,20,14,14,18,20,11,21,14,22,33,20,16,20,8,17,17,18,19,18,20,23,18,21,17,18,14,19,18,16,16,23,16,21,17,25,19,19,18,12,20,30,21,17,23,23,18,24,24,9,16,14,22,20,24,17,21,22,23,22,14,18,13,12,5,7,12,15,17,8,8,11,11,9,17,13,8,5,13,12,14,14,11,16,10,13,19,13,15,14,14,14,8,12,17,14,8,11,13,20,15,17,17,26,14,14,9,13,11,17,15,15,20,20,25,16,13,14,21,14,20,20,19,25,20,12,11,17,21,19,19,19,26,21,13,20,16,16,19,21,21,28,19,24,18,19,18,25,17,22,19,23,14,24,18,20,23,18,17,12,16,23,17,13,13,27,19,17
17,26,27,23,25,22,20,21,20,20,15,15,19,15,15,19,19,18,19,19,25,18,22,16,27,23,21,29,14,24,19,17,22,16,19,19,29,19,12,27,26,23,23,14,18,26,26,13,18,24,19,15,16,9,14,15,28,22,19,17,20,19,9,20,22,19,17,19,16,23,19,17,18,18,18,16,17,12,8,13,9,18,18,21,19,14,24,13,15,18,16,17,17,14,12,19,24,21,20,20,18,25,12,16,17,20,15,22,21,15,23,22,17,19,22,27,19,18,22,16,18,20,18,23,17,19,22,12,20,20,19,16,20,16,12,20,16,9,16,25,22,23,26,20,15,17,16,21,24,10,13,11,12,10,6,10,6,14,8,7,14,5,14,15,12,16,12,16,15,18,15,16,8,15,9,9,16,14,21,19,22,21,14,17,15,11,6,21,15,19,23,16,15,21,15,15,15,25,18,25,23,12,22,27,23,17,15,26,12,22,22,27,16,10,18,17,20,24,27,15,18,16,21,20,19,16,20,14,17,28,18,18,26,20,18,14,21,18,14,23,10,13,19,18,16,16,16,14,18,21,21,17,14,20,11,6
20,23,24,14,16,17,11,26,22,20,17,11,23,22,17,18,15,19,14,15,21,22,14,20,17,20,21,20,16,20,21,26,15,11,17,22,13,15,23,18,18,21,15,21,22,27,23,21,22,18,19,24,23,16,17,20,20,10,22,20,21,14,13,18,28,18,15,14,16,17,19,25,22,19,16,26,24,19,18,19,16,13,11,22,19,16,20,17,8,17,17,20,10,8,21,19,22,23,17,13,12,15,17,26,21,18,12,19,16,21,19,16,24,21,19,20,14,14,19,26,17,13,27,28,21,19,11,24,16,24,20,20,20,20,18,20,20,30,30,17,21,12,16,21,14,17,18,17,14,14,6,10,11,16,10,12,7,2,6,11,13,12,18,16,10,16,16,13,17,15,17,10,4,17,14,14,17,14,14,10,19,9,12,15,6,16,24,13,13,11,21,12,18,12,14,22,20,18,26,13,19,14,20,17,21,23,20,12,13,23,11,18,19,10,17,20,15,19,15,26,15,22,23,17,19,22,20,23,24,9,18,32,15,14,13,12,18,25,20,16,20,14,18,11,16,20,19,20,19,16,15,18,12,24,20,15
19,23,21,17,18,14,23,10,25,23,19,24,12,14,13,20,15,21,18,18,20,22,17,17,14,19,13,18,17,20,10,18,18,21,14,23,18,22,16,14,12,27,16,22,12,14,10,25,17,27,24,20,16,16,12,23,16,18,12,22,18,22,20,18,18,25,19,20,24,22,19,18,12,26,21,16,19,18,21,15,15,12,14,19,24,24,16,21,26,19,13,15,21,16,17,21,21,22,22,16,20,30,17,11,13,17,12,17,23,23,22,16,21,12,21,16,22,19,19,16,16,20,17,17,28,17,18,22,19,25,13,20,25,15,22,23,16,11,15,19,18,16,22,17,21,29,17,17,20,12,13,13,11,13,11,7,15,17,5,2,6,14,14,14,14,16,11,16,13,6,16,21,13,10,16,16,14,12,19,24,10,25,11,15,13,17,14,16,15,9,16,9,16,16,18,16,24,16,18,26,25,13,27,17,18,24,16,14,8,21,20,19,13,21,21,18,18,18,17,13,18,17,20,18,17,19,18,18,19,21,14,22,19,10,26,15,19,16,14,21,14,25,19,27,22,17,22,18,18,18,19,11,20,21,27,17
21,19,26,18,19,19,19,20,15,19,16,14,16,21,21,19,15,21,18,18,21,20,15,13,10,25,9,22,11,14,18,22,26,17,30,15,22,13,20,11,21,21,23,19,14,20,11,13,20,15,17,20,9,22,22,27,17,16,19,21,20,17,18,17,17,16,19,17,14,20,17,24,16,15,27,20,23,15,16,23,20,19,32,15,11,24,11,19,19,21,26,28,22,15,25,13,14,14,13,13,13,19,20,19,22,19,24,24,19,11,17,24,20,13,16,19,22,17,14,27,20,16,20,18,16,24,15,19,17,21,23,17,16,22,13,17,19,23,19,19,26,18,21,12,18,16,16,19,25,13,12,11,12,16,16,11,16,7,12,12,12,13,12,11,7,12,12,17,11,18,8,17,23,8,12,18,11,11,11,17,13,23,13,19,17,17,11,19,16,19,15,14,15,18,13,20,16,22,14,14,22,24,19,17,14,18,19,18,20,18,18,16,20,21,14,24,16,17,20,16,23,17,17,20,17,25,22,22,18,18,24,16,16,15,24,12,18,21,12,22,14,17,26,20,15,17,23,24,32,21,13,21,20,16,17,15
25,17,20,17,10,11,18,16,21,11,24,17,20,21,22,23,19,20,17,11,20,17,16,11,18,16,21,23,15,18,22,10,21,13,15,20,17,14,31,26,18,17,15,16,13,14,12,28,11,8,20,19,20,23,15,17,17,26,15,21,13,22,16,17,19,21,19,19,10,25,22,18,21,16,16,22,21,20,17,14,13,26,20,30,16,19,15,14,16,14,20,13,13,15,15,23,21,19,17,17,13,16,20,27,12,21,10,17,15,15,19,18,25,26,14,18,12,15,12,20,19,23,28,16,29,17,20,15,21,21,17,28,27,23,9,22,18,17,26,18,18,21,18,18,17,15,14,13,12,14,18,15,11,12,12,14,16,7,16,12,4,14,9,9,17,16,14,15,13,11,13,16,15,12,19,11,18,5,12,14,11,14,12,15,13,9,15,11,24,16,14,22,18,21,16,16,24,16,18,10,18,17,23,16,25,22,18,16,19,15,22,14,14,17,20,17,11,15,16,18,12,13,18,16,11,19,24,16,16,25,22,16,19,18,17,15,16,27,16,19,17,19,19,17,23,13,23,20,11,20,19,25,21,18,14,22
15,21,18,13,16,17,11,15,16,15,19,18,15,20,17,16,15,18,18,25,14,19,16,19,18,18,16,19,20,15,16,16,17,13,25,14,15,25,19,13,17,21,21,17,17,12,24,21,18,18,18,16,14,29,24,21,16,30,16,24,18,18,16,10,14,22,19,18,19,18,18,18,14,16,12,18,19,25,20,15,18,11,17,24,11,18,20,22,21,25,16,20,22,14,18,14,20,21,15,13,21,19,14,25,12,14,23,23,18,23,16,12,14,22,16,14,16,23,23,16,18,22,18,20,19,20,21,22,19,23,18,22,25,14,20,23,25,12,20,20,19,16,22,13,15,17,18,23,26,17,12,7,10,10,11,9,12,13,16,12,8,16,12,20,12,14,15,19,15,18,16,12,14,11,20,15,15,15,11,15,15,15,14,12,12,12,15,13,11,19,11,8,27,17,19,15,20,23,27,16,16,25,19,12,16,19,14,18,16,18,19,26,17,17,21,21,25,15,13,24,22,13,15,17,21,27,20,19,18,17,23,23,25,16,14,13,19,13,14,14,21,15,17,14,21,20,23,18,19,17,15,17,14,26,14,21
18,31,18,15,10,17,13,24,20,22,18,15,21,10,18,21,16,22,18,27,13,22,16,11,18,20,18,26,14,13,26,25,13,21,7,23,15,19,24,13,13,29,17,20,17,21,15,24,16,15,16,15,18,27,20,21,18,23,16,23,22,21,19,13,13,26,14,11,16,17,15,16,19,21,17,16,21,13,12,14,23,25,15,14,27,22,19,15,22,18,18,21,20,17,10,18,26,16,15,21,15,16,14,19,14,16,19,17,18,14,12,22,14,27,20,17,20,18,12,12,16,21,13,16,16,16,21,16,22,18,20,10,24,18,21,21,23,17,19,9,23,9,21,20,20,15,18,9,13,8,11,17,9,9,6,10,15,8,14,11,19,12,14,18,18,9,16,18,19,11,18,13,14,11,11,19,16,12,13,16,10,10,15,17,14,14,23,19,10,17,13,22,16,19,14,18,15,19,20,18,9,18,16,17,19,18,17,11,12,28,11,12,17,19,23,22,14,24,11,12,24,19,15,20,28,25,16,27,15,15,24,19,13,22,22,21,12,17,18,15,30,24,14,21,18,18,20,18,18,19,17,25,17,19,23,12
19,26,13,21,18,26,9,9,16,17,20,19,23,11,12,16,17,17,15,19,15,16,13,16,20,17,9,15,17,22,18,20,17,21,16,20,13,20,16,22,18,21,19,18,27,15,16,18,12,15,20,14,14,23,14,13,17,15,19,20,11,20,15,16,22,16,20,22,20,14,19,11,23,20,18,22,15,23,15,16,18,17,24,20,16,15,14,16,14,18,17,15,19,23,18,24,20,23,24,14,12,15,26,17,21,12,14,18,18,18,18,14,13,17,17,15,14,11,19,16,17,15,21,20,13,18,25,18,24,23,19,15,25,17,32,18,18,14,25,15,14,16,22,16,17,23,15,12,13,20,15,10,11,12,11,11,7,16,9,18,17,13,16,8,17,18,11,10,16,18,14,16,12,8,10,11,14,12,10,15,18,14,11,19,20,19,15,16,9,18,19,17,24,18,14,12,18,14,27,14,14,16,28,27,17,9,19,7,29,11,16,16,14,25,8,17,18,17,18,23,22,27,23,11,15,24,22,19,20,18,23,20,20,14,18,17,15,21,21,18,19,22,13,17,14,18,20,17,26,13,21,21,15,24,23,20
13,19,21,20,19,16,22,18,16,12,14,17,20,17,12,13,18,16,13,16,20,17,20,13,20,21,25,19,9,20,13,24,19,24,17,16,19,18,18,20,16,18,18,16,13,19,18,18,18,16,19,19,16,20,16,10,14,19,19,18,21,19,22,25,26,26,10,15,19,17,15,17,22,18,17,19,17,14,8,15,14,19,24,26,20,17,12,15,11,19,18,18,21,21,17,21,20,14,18,16,17,20,20,15,19,17,19,20,20,13,20,18,17,16,10,24,17,27,20,16,10,25,17,20,20,20,19,16,13,27,16,24,28,15,19,23,19,18,15,23,20,20,22,16,21,19,16,10,4,16,17,12,11,15,12,12,13,10,11,10,10,11,14,7,22,9,10,12,11,19,21,18,16,18,15,12,13,18,18,14,14,15,19,12,20,22,14,12,18,16,14,17,13,18,11,16,16,21,17,19,11,15,18,23,29,18,16,19,18,18,14,24,20,11,14,13,14,15,20,20,20,14,23,18,24,18,19,23,30,13,15,19,27,23,16,18,14,27,19,27,20,14,19,18,17,14,16,17,22,17,22,19,16,13,19,17
23,16,16,11,17,10,16,16,20,21,19,24,8,25,15,17,14,15,29,17,14,18,17,16,19,12,16,20,19,17,17,17,15,20,26,26,19,26,11,23,15,21,20,22,20,11,21,18,17,19,10,15,15,13,17,16,21,21,16,17,21,22,17,15,23,30,20,15,21,24,14,21,21,20,24,17,19,17,16,19,14,15,17,24,14,20,22,18,14,15,17,12,10,19,22,14,16,18,16,19,24,18,11,21,21,18,20,18,15,20,10,21,19,17,13,19,17,20,23,18,13,20,14,17,23,17,17,16,15,19,21,20,24,14,20,16,16,16,21,21,15,18,21,22,15,16,14,16,12,16,17,12,7,10,19,9,11,18,13,19,13,9,17,17,16,15,17,18,12,14,15,8,13,22,24,13,15,14,14,16,12,21,17,18,16,20,18,16,13,15,18,20,17,23,18,13,23,24,17,20,13,18,19,22,17,17,19,12,17,22,13,20,17,24,21,22,20,23,17,20,17,20,22,11,15,21,18,16,13,18,33,20,20,23,23,15,18,22,23,13,24,25,12,17,18,18,29,11,19,22,10,16,18,16,21,17
10,16,27,12,15,17,14,18,15,11,18,22,15,10,18,20,20,11,19,15,17,22,21,17,15,15,19,17,21,24,20,9,19,25,16,14,17,16,16,21,21,14,20,22,17,16,17,18,17,13,15,16,16,13,18,14,14,21,26,19,17,18,19,21,15,20,18,16,23,14,15,17,23,14,17,22,14,16,18,23,22,17,20,11,15,21,18,19,15,16,21,24,22,24,28,18,23,15,21,12,25,16,24,16,22,16,17,12,16,17,13,16,17,16,18,16,18,15,22,15,32,17,27,16,23,11,25,8,20,22,27,14,17,20,29,24,23,15,15,24,28,24,25,22,22,19,17,10,13,9,13,11,14,11,12,10,14,7,9,11,15,10,11,14,11,10,17,18,9,8,15,15,26,18,16,19,17,17,13,11,19,21,14,16,18,25,18,24,17,25,14,23,14,12,10,20,16,12,13,20,22,15,32,8,25,17,17,22,19,11,19,26,23,17,17,16,13,27,14,27,18,20,24,25,18,23,13,17,21,20,18,17,16,15,19,14,14,28,18,21,25,13,13,26,24,14,17,18,13,22,26,23,19,13,20,21
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18,17,16,24,17,20,15,13,21,17,20,16,22,12,18,21,21,21,15,18,15,19,23,17,17,16,26,15,15,16,16,21,17,20,22,20,13,16,10,19,22,14,10,27,19,21,14,20,20,23,8,17,22,17,13,22,21,14,18,17,21,19,17,20,13,23,20,19,18,23,11,12,11,15,20,24,25,17,18,13,21,18,15,17,20,20,14,22,19,25,26,14,15,13,20,21,18,23,17,20,15,21,20,17,23,15,21,22,16,24,23,21,21,17,13,17,23,17,18,14,10,20,23,20,19,17,20,18,17,19,19,24,30,30,17,19,19,29,20,14,17,17,21,23,18,27,7,17,14,12,10,16,16,20,20,12,17,13,11,16,19,18,14,12,15,19,16,14,18,20,19,17,19,18,20,15,15,14,14,17,12,11,21,20,13,18,20,19,25,32,15,14,15,15,18,17,15,15,16,13,13,21,14,22,21,22,18,17,20,15,20,15,22,17,17,20,14,15,11,12,23,19,18,20,15,11,16,19,22,12,21,15,8,15,19,21,23,21,19,27,18,27,13,13,15,23,17,20,23,17,17,22,21,22,12,19
17,21,22,18,11,13,15,17,20,22,19,22,16,21,20,13,18,24,16,20,22,17,17,19,13,17,15,16,21,18,18,15,19,19,22,25,19,22,15,23,21,14,13,16,22,18,15,17,19,18,20,17,18,18,24,14,18,17,15,16,19,14,17,15,9,13,17,19,21,22,15,16,17,19,17,19,22,16,23,14,25,20,17,16,13,18,22,18,14,10,14,15,17,15,25,23,17,18,18,32,17,19,18,21,15,16,18,20,14,8,13,15,19,23,18,17,12,15,12,19,18,23,18,24,17,21,19,10,13,14,24,19,27,12,21,18,16,23,19,22,24,23,20,18,12,12,13,15,19,16,5,15,11,13,12,12,14,9,17,15,10,14,14,16,16,14,12,16,22,15,24,16,19,16,14,23,21,7,19,18,17,16,22,25,13,11,18,17,17,24,12,21,21,16,15,19,17,18,21,26,11,22,24,11,20,17,16,32,23,23,12,26,19,19,26,13,24,16,13,16,18,20,29,18,18,21,20,16,16,13,14,10,13,11,13,15,14,9,16,24,30,13,15,29,20,14,18,22,16,18,15,20,17,25,15,23
17,16,21,10,20,12,9,25,16,20,21,24,19,18,19,19,15,19,18,18,21,20,14,16,16,16,18,16,16,25,19,17,17,13,22,18,19,17,14,17,11,13,9,20,20,15,22,20,20,20,16,28,12,20,17,26,24,12,17,21,19,17,19,14,20,20,22,15,18,17,17,26,17,19,24,18,25,17,24,15,23,16,29,18,13,16,22,18,12,21,12,13,22,25,12,17,20,16,18,16,14,17,24,19,19,17,15,16,22,16,20,15,19,16,15,11,18,24,11,14,13,22,14,26,13,24,16,19,17,15,13,12,24,23,18,24,15,25,14,14,21,19,18,23,14,9,14,13,13,8,15,10,17,18,13,11,12,10,13,21,17,14,17,19,17,15,21,15,14,24,15,18,20,13,16,11,18,19,19,13,21,10,20,11,24,20,15,17,31,22,14,22,19,17,14,20,13,22,18,11,10,22,24,17,22,19,22,17,20,20,15,20,14,22,28,24,9,17,20,14,11,15,22,14,17,21,21,13,18,18,22,20,22,22,13,26,16,21,23,24,20,18,24,19,23,12,25,30,15,27,24,20,20,11,21,21
26,14,20,25,17,23,16,16,17,18,21,13,15,13,24,15,19,19,20,14,12,24,20,19,12,22,22,20,20,21,22,18,17,23,21,22,16,26,14,24,24,19,10,23,25,20,21,15,17,9,23,19,14,19,13,20,19,25,12,15,15,20,10,15,15,22,22,25,23,22,16,16,21,18,24,21,20,14,13,14,16,24,15,20,21,14,9,12,29,16,14,12,17,12,22,23,16,18,23,19,17,15,15,21,16,17,18,21,19,23,18,21,16,12,18,19,16,15,26,16,18,11,23,22,15,21,16,15,20,22,16,19,9,16,25,13,24,19,16,22,15,18,13,20,12,10,12,9,16,12,17,13,13,13,9,11,13,16,15,21,18,12,21,17,12,25,17,15,11,18,18,17,19,23,20,21,15,12,19,15,20,21,21,20,11,20,14,17,9,15,19,15,21,22,15,15,20,23,17,17,23,13,22,15,18,22,17,13,20,25,20,27,21,14,15,16,24,15,11,20,16,17,13,21,13,12,14,16,18,19,23,18,17,16,13,13,22,25,14,11,20,17,17,12,24,17,15,17,21,15,23,20,19,17,22,25
19,14,18,21,18,13,17,19,17,20,17,20,19,19,10,20,25,22,15,18,18,16,19,16,21,16,16,19,17,18,15,13,23,21,21,14,19,13,25,17,22,27,26,26,11,19,17,14,23,21,21,10,22,22,19,17,18,15,17,22,15,22,18,23,20,22,22,23,12,18,23,15,22,25,16,16,16,15,16,18,20,20,12,10,17,16,20,17,15,19,16,17,10,22,23,12,10,16,20,21,24,18,8,11,22,20,28,24,24,17,15,15,21,17,9,13,13,20,20,19,15,25,16,14,17,9,14,25,12,19,15,23,27,20,18,22,28,24,16,21,14,16,25,14,17,14,10,9,13,12,10,20,24,19,11,17,21,14,10,14,17,10,13,14,12,14,11,15,18,18,20,13,13,16,14,18,14,21,14,14,12,21,26,18,14,17,28,23,20,12,22,14,22,11,15,23,22,23,18,19,15,23,21,16,19,20,16,18,22,18,21,13,21,12,17,23,23,19,14,18,20,18,20,17,15,24,14,12,24,11,20,16,12,19,24,13,23,14,17,16,21,17,11,29,16,14,21,14,14,23,17,19,17,22,14,17
27,20,12,22,23,15,27,36,15,15,16,15,21,23,14,22,16,22,18,16,21,23,22,15,22,11,15,15,27,17,22,22,20,11,19,22,20,21,27,25,15,20,23,13,15,22,10,19,13,18,19,19,18,15,19,16,22,26,18,22,14,12,24,10,18,16,18,16,16,21,21,23,7,14,17,13,19,13,16,15,17,18,21,15,17,18,11,21,26,17,14,16,21,20,23,22,14,9,17,23,19,16,13,17,20,26,19,14,12,18,17,16,16,8,19,14,12,16,28,16,19,26,19,13,28,18,16,22,21,21,22,11,17,13,17,21,11,13,13,23,14,22,23,17,22,16,12,6,11,17,19,9,10,19,12,14,18,17,9,23,23,27,11,21,13,18,14,16,24,16,19,12,16,13,14,17,27,19,16,21,15,18,17,19,20,23,19,17,26,13,14,13,23,19,19,22,12,23,28,22,24,19,21,17,15,24,19,17,13,20,16,26,19,11,17,19,17,18,13,17,17,24,18,16,18,16,14,13,16,22,15,19,11,16,25,22,14,15,16,19,12,21,14,19,14,27,23,23,13,18,14,14,20,26,27,11
27,21,10,11,17,12,21,29,9,21,16,20,9,11,22,16,15,18,28,15,24,8,17,23,14,21,22,20,27,15,14,22,22,17,19,20,22,19,23,16,15,16,19,17,11,20,17,14,18,21,19,30,18,23,18,12,21,17,21,12,15,16,19,17,13,18,15,30,11,19,19,16,19,16,19,22,17,19,22,17,19,22,14,16,15,14,16,17,14,25,18,18,17,20,28,24,23,15,24,18,19,22,10,14,12,13,15,14,16,22,19,16,16,18,21,9,15,14,15,17,13,18,18,14,18,23,15,18,11,25,26,10,32,21,16,21,29,16,14,17,20,22,30,22,19,13,8,8,15,21,11,20,17,18,12,21,22,14,14,17,15,24,20,14,14,12,24,18,15,24,14,19,19,24,18,10,17,14,11,13,18,21,18,20,22,15,19,17,25,21,17,14,15,18,21,22,17,14,16,10,14,29,11,17,23,20,12,16,18,16,16,15,15,22,21,17,16,12,15,23,18,16,19,15,18,22,13,16,17,14,22,26,17,17,14,13,15,24,22,10,18,19,23,20,21,27,16,20,22,15,20,8,18,23,21,16
19,18,25,13,14,14,10,15,25,20,15,13,20,23,15,19,19,12,19,22,18,15,18,24,11,8,16,18,11,10,16,15,24,17,21,16,22,27,22,14,20,18,15,18,20,17,19,28,21,20,14,12,18,17,26,12,14,21,22,18,19,14,17,19,18,25,19,14,14,24,24,17,21,22,18,21,19,19,19,14,23,23,19,20,16,15,16,18,16,13,17,26,22,14,18,13,19,16,17,29,23,18,17,18,17,21,19,10,21,19,20,20,16,28,11,14,18,17,22,19,19,13,17,21,18,20,25,24,16,30,18,20,21,12,20,25,23,18,15,23,13,15,12,18,15,16,19,13,12,15,18,17,14,17,15,16,12,19,16,11,16,18,11,16,16,15,20,14,8,14,15,17,21,16,12,12,18,10,11,26,15,20,12,20,19,14,18,24,18,20,18,22,17,20,17,18,17,17,21,14,13,22,22,10,22,19,17,23,22,18,24,19,16,14,23,22,22,13,23,16,26,24,22,20,23,12,15,13,26,24,9,17,16,15,20,20,24,19,25,26,22,20,14,18,21,19,11,22,8,18,21,24,21,24,19,19
20,22,24,13,16,23,19,16,18,16,21,16,21,23,25,27,35,18,15,21,17,14,21,16,14,18,26,17,19,27,23,22,26,24,24,21,16,12,16,17,14,16,17,16,13,14,22,19,25,15,13,19,28,16,16,16,15,16,28,16,15,24,22,16,22,16,17,18,10,15,9,21,22,13,18,16,21,14,20,13,21,12,19,31,16,15,15,17,18,12,19,15,15,21,10,20,14,20,11,20,10,13,16,12,16,12,17,22,19,18,19,19,14,15,22,14,16,22,21,15,12,20,18,18,15,13,20,9,18,30,9,15,14,9,20,15,10,14,16,17,25,17,24,13,11,14,11,16,9,15,14,22,19,11,23,22,21,18,21,20,17,14,24,12,15,12,12,13,22,13,20,11,14,23,25,12,18,10,23,14,10,21,13,10,26,18,16,18,15,18,17,16,18,20,24,17,16,18,16,17,13,14,17,22,16,21,25,17,18,12,26,16,20,18,15,18,12,23,16,15,18,19,13,15,16,23,17,24,19,19,15,19,12,17,20,17,17,20,21,11,18,22,23,18,22,15,17,21,23,22,18,13,15,23,16,22
21,14,18,17,15,14,22,23,15,23,24,18,14,13,12,21,13,16,19,20,21,20,17,18,14,19,23,14,20,16,21,24,23,16,15,26,14,21,22,16,17,21,30,20,20,17,16,26,21,23,22,12,18,17,20,23,15,18,21,27,15,16,22,18,23,19,18,21,16,16,17,22,10,13,18,21,15,14,18,23,17,23,18,15,15,12,23,26,13,16,19,23,19,20,10,18,21,19,26,16,17,17,24,20,21,19,21,23,25,13,23,23,16,11,24,18,16,24,10,13,19,22,22,17,22,30,14,22,12,11,12,20,19,15,19,18,16,17,22,17,19,16,18,17,15,18,28,21,26,16,17,17,20,19,13,15,23,15,19,14,19,19,18,16,21,17,18,16,19,21,8,18,12,13,18,11,15,18,18,15,21,28,14,21,25,16,20,24,16,18,18,15,15,13,11,15,14,22,26,18,14,12,20,22,25,23,19,8,24,18,20,20,26,22,13,21,16,22,23,14,21,9,12,15,20,18,29,22,18,17,20,24,19,14,23,23,17,15,19,18,17,19,18,15,23,15,11,18,16,16,18,20,21,11,20,23
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20,22,18,25,17,23,23,15,18,22,15,15,9,21,22,17,16,20,19,17,19,26,16,20,13,14,21,20,18,18,24,14,16,15,20,17,15,19,15,23,22,12,14,22,14,17,16,23,17,10,22,16,16,19,12,19,21,19,23,14,24,24,14,21,18,20,22,25,20,18,23,22,15,25,21,17,21,9,16,15,23,14,7,22,21,15,26,20,24,29,21,14,17,15,20,15,23,17,17,12,17,16,22,17,22,19,20,14,22,17,16,18,21,15,23,14,20,16,33,16,15,10,19,20,15,22,20,20,17,12,18,12,13,24,22,12,18,22,15,21,24,18,9,15,16,8,22,22,20,10,17,15,12,17,16,14,25,16,14,9,10,19,11,20,21,17,13,17,22,25,22,15,14,17,16,11,10,18,20,20,15,16,14,18,24,14,24,11,22,21,26,20,22,24,24,16,20,18,18,17,13,8,25,11,12,10,12,18,20,26,11,23,14,23,20,17,19,17,21,17,9,12,19,15,19,12,18,15,18,14,15,20,17,19,14,14,18,17,15,22,19,25,18,14,20,17,24,22,17,19,18,18,18,8,12,16
13,13,16,19,21,19,16,14,15,21,16,21,24,20,21,26,17,26,23,27,18,17,16,17,19,16,20,24,13,19,15,12,19,26,16,20,20,19,15,22,13,17,19,20,18,26,21,21,12,23,17,25,20,14,22,17,15,18,17,18,16,19,23,15,13,23,20,14,18,14,25,22,18,18,26,28,7,13,25,20,14,20,21,7,15,19,19,19,27,17,22,21,17,18,18,20,23,18,18,17,18,22,12,15,22,12,17,16,12,14,14,20,21,20,24,17,15,28,11,11,18,21,14,17,23,18,16,12,18,16,24,16,15,15,11,17,14,20,18,16,21,15,17,20,14,20,20,10,16,17,11,19,9,12,13,12,11,19,10,18,20,12,17,29,25,21,21,21,11,17,22,12,13,26,13,27,17,21,22,22,18,23,12,18,9,26,14,23,15,12,12,11,24,14,19,23,14,15,19,11,17,21,15,21,12,20,11,23,20,16,15,12,11,26,23,23,19,17,24,26,13,27,20,22,19,17,20,26,16,12,26,21,17,19,16,11,12,22,16,14,19,18,18,18,27,25,17,17,23,22,25,16,17,23,22,19
23,15,16,12,21,15,11,24,21,14,25,21,17,15,18,24,17,23,11,20,12,24,19,14,20,25,15,16,14,13,21,22,13,16,19,19,21,21,16,17,17,25,23,12,20,13,13,26,14,25,20,16,21,21,22,10,25,12,13,18,21,16,20,21,19,18,14,15,21,23,13,11,19,21,17,9,15,17,15,22,22,19,14,13,19,12,18,20,12,16,21,11,20,13,16,17,23,12,17,22,20,11,18,19,27,20,24,16,18,18,12,15,17,11,18,21,13,12,16,24,19,17,22,18,26,22,23,10,10,18,16,29,18,16,16,26,7,25,23,21,15,12,22,11,21,17,14,18,16,16,16,8,18,16,14,9,22,17,22,17,14,23,22,18,15,13,21,17,15,19,8,13,22,29,21,11,18,13,18,22,22,21,20,25,27,10,17,15,16,23,25,23,15,13,12,18,21,22,14,13,18,22,20,22,23,12,25,15,10,18,21,29,14,13,17,16,13,24,13,24,15,13,22,18,21,21,23,20,16,18,16,18,10,19,18,18,20,19,15,20,18,25,21,20,13,14,21,26,18,20,18,20,20,13,18,22
24,13,13,22,24,13,19,20,10,24,18,14,11,18,19,14,17,16,18,11,18,19,19,19,19,15,18,24,18,18,16,18,18,18,18,24,16,18,15,15,15,21,24,16,22,15,18,22,18,30,17,20,22,14,13,17,10,17,21,12,25,15,18,17,14,19,18,12,11,23,17,14,22,19,16,19,21,20,18,19,22,24,22,21,13,15,15,18,27,16,22,17,20,18,24,22,17,22,18,18,20,14,16,19,21,20,24,16,20,22,17,16,21,25,17,12,14,22,16,22,15,9,21,20,13,19,21,15,19,18,27,11,22,17,23,14,9,14,21,14,16,26,20,13,20,8,11,14,17,13,17,20,13,13,17,11,15,10,17,24,15,16,17,18,13,19,16,20,13,24,15,14,13,19,17,17,19,11,17,14,16,12,21,20,13,18,17,15,16,27,15,22,17,12,19,11,15,12,14,15,15,28,18,13,20,19,18,19,15,19,21,18,17,11,11,21,19,17,13,12,14,17,11,18,23,24,25,16,22,20,18,20,29,12,24,13,17,13,19,21,19,18,23,12,25,13,16,12,21,9,18,14,14,14,20,7
27,19,17,17,17,23,15,23,25,22,15,15,19,20,23,15,10,15,24,15,23,22,17,23,19,14,11,19,21,12,15,21,17,13,17,19,16,20,13,20,19,23,20,21,19,18,14,20,18,15,18,9,16,21,19,13,22,14,9,18,14,22,19,23,18,13,13,15,21,22,19,17,17,22,25,27,23,20,16,14,11,17,16,21,18,18,14,19,11,15,18,16,16,15,19,24,15,15,25,16,20,12,18,13,24,22,29,15,20,15,17,21,20,18,24,21,18,15,23,17,26,16,25,12,16,17,18,19,20,18,29,17,17,12,15,17,18,17,12,17,18,13,19,23,18,13,23,15,14,21,16,15,17,11,14,15,22,6,30,17,19,19,16,19,22,17,15,14,19,19,22,19,13,18,15,23,10,22,25,11,16,19,12,22,17,23,17,20,22,16,13,13,17,17,22,15,16,18,16,13,17,21,17,18,22,18,20,18,24,15,22,12,15,18,16,21,20,9,17,15,16,23,22,17,19,18,20,12,13,20,21,15,17,26,10,24,13,17,22,19,21,19,19,16,11,13,27,22,22,21,10,13,14,17,15,21
20,19,14,22,19,20,13,23,20,18,18,10,14,15,19,23,21,17,20,23,21,25,20,22,19,16,25,9,17,18,20,16,21,22,11,15,18,27,16,19,11,17,18,20,23,21,16,19,21,16,26,20,18,16,13,14,16,15,18,16,24,16,19,19,15,22,15,11,26,24,19,16,23,16,22,17,11,15,20,21,21,14,17,10,13,23,14,24,9,16,20,22,24,14,14,9,17,20,22,19,19,11,29,15,15,15,15,23,23,17,15,18,14,19,14,24,22,15,23,21,15,17,17,32,15,16,22,22,19,16,20,18,19,14,14,18,14,14,19,16,20,18,13,13,13,22,26,19,24,19,17,24,20,21,10,27,11,15,22,13,20,26,16,18,21,17,18,18,18,15,21,19,18,17,20,17,18,21,15,16,25,22,21,17,18,16,20,14,20,21,21,14,18,20,13,21,14,21,24,19,15,15,16,19,17,18,11,26,19,16,24,17,13,21,25,17,19,20,10,23,9,12,13,20,14,16,20,15,15,25,22,10,22,12,17,21,15,16,11,11,17,15,17,16,17,15,16,17,21,18,17,20,14,24,22,20
16,8,17,16,18,14,26,24,18,11,10,18,30,26,18,18,13,15,23,18,20,29,24,22,18,15,16,21,13,17,23,12,16,9,13,16,12,23,20,20,10,12,24,16,11,18,22,22,13,11,12,15,17,18,19,13,20,15,14,19,19,21,17,11,23,18,17,13,14,16,17,23,21,21,16,14,12,18,19,12,21,17,17,16,15,19,15,20,23,16,19,18,16,17,20,17,18,20,21,18,20,18,12,26,17,11,6,12,15,15,10,19,12,18,9,26,28,14,12,18,21,24,15,20,23,15,32,13,19,20,24,35,14,15,26,17,9,18,17,18,22,17,24,20,18,13,26,15,21,16,19,17,19,23,17,17,26,14,16,11,16,24,14,16,23,21,18,17,17,19,16,14,16,16,17,21,21,17,22,18,19,21,24,20,21,22,14,12,27,17,16,11,12,17,14,24,12,10,24,20,24,14,10,16,15,12,18,18,20,18,21,19,16,14,23,24,12,18,26,20,18,14,10,15,20,20,24,22,16,20,16,16,18,19,25,27,18,16,14,20,17,20,12,14,21,14,23,14,15,9,25,18,11,10,19,17
21,17,28,24,13,20,23,15,18,16,20,14,15,19,14,21,15,22,19,13,18,10,15,18,15,24,11,21,17,17,25,17,17,14,18,10,16,19,14,15,14,22,19,11,13,14,19,22,17,18,22,16,18,15,7,23,15,13,23,23,20,13,15,16,23,14,23,21,33,16,16,14,31,10,24,16,14,18,17,15,19,16,20,12,16,21,23,22,23,16,17,16,19,17,14,21,30,20,20,9,17,13,20,13,20,20,19,16,25,13,26,19,27,16,17,17,16,18,18,16,20,21,18,16,15,20,23,12,14,25,16,15,13,18,9,12,26,17,23,25,23,15,13,20,24,18,14,21,16,20,17,23,17,20,21,13,21,15,17,17,18,21,25,15,13,14,19,16,16,11,25,20,26,22,16,23,17,17,13,12,23,14,21,19,19,13,18,19,26,20,22,15,20,13,18,20,16,16,18,13,19,20,11,31,25,11,26,21,22,17,17,24,22,21,23,24,22,18,15,25,15,11,12,18,28,21,17,25,13,20,14,21,19,20,16,16,19,12,15,14,14,15,14,28,15,17,27,15,18,14,20,21,14,13,23,27
19,25,13,25,14,20,16,19,13,15,19,16,20,10,13,17,17,21,19,22,22,21,14,11,16,18,14,8,18,17,17,16,13,26,25,12,21,17,24,18,17,23,15,13,18,20,20,17,12,28,23,17,16,20,24,25,28,20,19,11,17,11,18,7,16,17,19,27,20,16,19,12,22,19,15,20,20,15,14,13,22,20,14,23,21,12,36,16,15,22,12,13,17,24,27,13,22,20,14,17,15,12,19,13,10,9,18,19,17,16,16,27,17,17,24,23,19,18,17,27,17,18,13,17,10,23,17,26,20,21,15,22,17,11,13,21,23,22,15,18,16,17,13,17,17,16,24,10,17,29,16,19,12,18,23,10,11,21,20,22,26,19,14,17,14,15,14,17,21,24,12,14,23,20,14,18,21,19,22,13,18,14,13,24,13,20,20,9,16,17,20,16,21,10,16,20,17,16,15,20,18,16,21,18,22,12,19,17,14,13,28,17,21,19,20,24,13,26,20,13,21,21,18,25,16,15,18,13,20,13,18,10,16,20,18,31,11,21,15,16,19,18,20,12,18,16,19,30,22,18,6,21,21,13,17,16
20,20,15,19,15,9,20,17,19,23,12,23,28,15,15,20,20,19,24,24,15,14,27,19,23,22,18,12,13,13,15,27,7,14,24,21,21,21,12,21,15,19,20,15,21,23,24,17,22,23,16,17,20,10,20,18,18,18,24,19,21,17,14,24,18,15,15,21,19,18,23,14,13,22,18,15,26,18,18,18,9,14,20,17,16,13,21,17,20,17,14,13,20,14,12,13,22,16,21,15,13,21,11,21,20,14,14,17,26,11,22,18,16,18,17,17,18,29,22,18,14,22,12,21,15,16,15,23,13,17,27,22,20,17,23,27,17,15,14,16,11,22,26,16,21,19,24,17,26,17,21,15,22,21,22,19,16,22,9,16,20,10,16,19,16,22,21,18,18,19,21,24,27,13,19,21,15,10,17,15,25,20,13,14,15,19,17,16,19,27,22,21,23,22,21,21,22,15,18,18,24,18,15,15,18,32,20,17,23,22,15,18,13,17,23,22,21,12,18,15,26,13,13,19,18,19,14,20,18,17,13,18,16,25,17,21,23,16,13,16,14,21,16,22,16,18,13,17,18,20,15,19,17,12,26,19
11,26,13,20,16,23,21,27,21,18,26,23,19,16,25,16,14,17,15,19,14,20,16,15,12,17,22,14,18,21,16,14,18,20,18,33,19,25,25,12,13,21,17,19,18,17,15,21,20,29,24,18,12,16,7,11,22,17,29,16,19,18,14,16,17,18,20,17,24,18,26,15,26,26,16,18,19,19,12,18,25,14,19,20,17,22,21,24,18,16,17,14,22,12,31,19,17,20,13,19,22,13,17,13,19,20,12,27,20,17,21,21,12,17,27,17,14,17,14,18,21,19,15,14,22,18,17,13,20,15,19,20,23,16,18,28,17,23,18,20,14,18,17,26,18,20,13,13,23,26,17,19,18,22,12,26,17,19,17,18,12,19,24,24,17,20,14,18,20,18,13,25,11,16,20,29,12,21,7,23,24,23,13,25,19,15,25,16,17,22,14,22,20,25,16,19,16,20,13,20,19,25,16,20,21,9,15,16,16,11,16,15,25,17,17,15,26,21,17,16,14,17,16,16,16,9,15,12,15,20,19,23,26,19,15,18,17,25,24,12,22,24,15,16,23,21,19,16,16,15,20,25,26,20,20,22
19,19,24,21,18,15,22,22,16,18,17,22,16,17,20,20,19,18,18,18,15,14,23,15,17,17,17,10,23,17,24,20,23,20,28,23,12,26,16,15,21,27,18,17,14,24,22,18,16,15,18,12,23,23,18,17,17,17,21,19,15,15,20,16,11,19,25,20,17,22,15,13,21,25,16,18,22,31,17,24,25,20,19,24,29,18,24,18,13,15,16,29,22,19,25,17,15,19,17,15,10,22,19,19,20,16,14,19,18,19,18,25,21,10,21,21,12,19,9,17,16,16,16,10,18,14,12,21,14,14,13,16,11,22,19,20,18,9,20,14,20,13,13,13,16,15,16,16,18,17,13,15,17,15,20,15,17,27,18,20,18,25,13,19,17,18,19,20,17,23,21,16,15,23,23,23,18,21,23,22,15,24,16,28,14,16,18,17,19,20,26,15,22,10,14,14,14,20,17,17,15,16,20,15,20,15,9,17,17,23,20,28,14,18,16,23,20,24,17,23,20,19,17,16,19,30,20,15,16,16,20,22,13,13,23,17,26,18,22,15,22,16,8,25,24,17,18,18,12,21,17,15,17,13,18,16
27,19,20,25,18,19,15,19,20,25,18,23,20,18,20,20,22,23,15,14,15,17,18,20,16,21,17,21,11,18,18,24,22,18,25,21,14,24,26,22,16,12,18,23,20,20,14,15,18,14,18,14,16,10,14,26,19,21,16,16,20,22,16,18,15,22,35,17,20,12,16,18,12,17,24,18,15,18,18,11,17,16,19,22,17,17,27,13,20,21,17,15,17,20,16,16,17,19,24,19,21,11,27,21,22,15,17,16,11,19,14,7,23,20,12,17,22,22,22,12,18,18,21,18,20,15,16,19,23,20,19,15,11,13,20,18,17,9,18,19,19,14,14,15,15,14,22,18,24,17,15,19,23,15,12,14,14,25,21,19,20,20,15,18,27,11,25,18,22,21,18,14,19,16,18,25,16,17,16,23,19,13,20,25,22,21,31,22,9,20,20,27,20,18,19,18,18,23,19,14,20,19,13,21,26,18,24,16,30,15,19,25,24,16,20,12,12,17,26,18,21,15,25,17,14,16,17,27,20,18,14,21,22,17,17,31,17,20,19,19,19,25,16,14,16,18,21,18,15,15,19,25,15,11,24,18
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8,19,25,30,20,22,15,25,16,11,18,18,13,15,12,22,20,19,20,20,10,14,27,19,13,20,16,16,19,13,20,13,16,12,25,16,15,22,20,22,19,20,14,15,12,23,16,13,25,13,25,17,11,20,14,15,19,21,21,22,14,24,14,14,14,22,16,9,13,15,25,10,19,21,28,23,17,10,16,21,23,23,20,23,22,15,19,14,18,15,18,22,14,22,16,17,16,18,9,17,13,20,15,15,25,23,10,14,20,27,16,19,16,17,20,17,17,22,15,22,20,15,13,19,18,29,13,24,14,17,21,12,19,26,15,19,18,18,24,18,21,18,19,21,27,18,13,15,21,16,23,20,25,14,23,15,17,20,10,14,24,24,21,21,25,16,18,21,18,23,12,19,16,21,15,14,10,13,16,19,15,21,19,11,20,21,20,12,20,13,17,21,15,26,22,18,13,17,19,20,20,16,15,17,19,14,15,23,22,10,19,23,22,16,21,19,18,17,22,13,19,19,25,16,13,13,13,14,20,24,19,15,16,15,21,16,28,19,12,12,14,16,15,9,16,22,16,25,19,18,19,25,14,19,18,19
21,15,20,28,17,23,18,18,23,15,17,16,22,12,19,18,18,14,17,12,18,10,16,18,10,14,17,14,18,17,15,20,14,19,13,18,12,19,25,15,19,15,22,12,22,18,16,19,20,19,22,18,25,17,20,21,17,23,16,21,19,16,26,13,19,19,20,21,17,15,31,18,17,19,19,15,22,19,20,15,16,14,19,24,14,20,25,22,20,22,15,16,17,16,20,17,16,16,15,12,15,20,25,16,22,18,11,26,11,20,20,25,18,21,22,13,18,12,20,20,28,16,17,17,21,9,18,17,27,15,22,29,13,14,19,21,22,26,24,23,15,19,17,18,16,13,14,16,21,14,13,15,24,18,16,16,11,20,20,11,23,21,9,19,20,19,22,16,14,23,18,14,14,15,15,14,21,11,11,25,24,22,21,20,20,24,28,18,19,25,19,18,25,13,19,11,9,19,14,17,18,18,18,18,13,21,15,15,19,15,26,22,22,11,14,16,21,20,22,13,16,21,13,20,26,17,16,10,19,17,11,15,24,11,14,11,18,14,15,21,15,16,14,11,22,16,14,18,15,20,20,23,16,21,16,18
19,11,12,16,20,16,21,14,24,16,19,20,17,13,12,21,20,17,15,18,18,19,17,17,19,19,19,13,21,19,21,9,21,20,13,19,15,27,23,17,22,18,16,21,14,18,26,12,20,16,21,23,25,12,25,20,24,15,9,13,17,15,21,20,12,15,18,15,20,20,22,22,13,15,18,16,16,19,19,21,13,26,23,10,13,19,14,10,14,18,11,14,23,17,27,20,21,22,24,17,17,17,16,20,20,16,20,18,11,22,25,17,18,16,19,22,23,15,14,16,21,21,17,22,17,16,12,21,16,19,14,16,16,24,21,23,22,16,15,18,21,14,24,16,17,14,17,17,27,18,25,19,26,19,17,20,21,26,13,14,25,15,13,21,18,18,18,16,22,18,17,19,23,23,20,21,25,22,15,24,26,16,13,15,13,18,16,15,17,33,19,22,23,24,17,21,18,16,18,22,15,19,19,19,18,14,15,18,20,21,14,18,11,16,17,15,19,20,22,22,16,22,20,10,27,22,16,23,18,18,16,19,13,24,19,18,22,21,14,17,16,16,20,20,17,29,19,20,14,17,22,13,21,16,24,22
25,15,16,22,16,11,18,15,25,21,17,19,15,18,18,13,20,20,20,20,12,24,18,24,22,21,19,14,20,16,16,21,23,24,18,19,17,21,12,12,19,16,19,17,23,17,19,21,20,15,20,26,12,14,18,19,25,11,30,21,15,21,16,21,27,26,16,23,20,16,19,17,18,15,20,12,23,20,17,21,20,19,14,24,14,13,20,17,16,14,22,16,14,19,16,14,24,20,17,17,20,21,18,17,13,20,17,17,18,27,17,19,21,20,24,21,16,16,23,18,27,22,13,14,19,22,8,22,21,22,16,19,15,17,12,15,23,24,20,15,17,26,23,18,18,18,22,10,20,22,12,18,22,12,17,19,17,19,20,16,20,18,15,19,20,27,17,22,20,21,21,24,19,21,21,11,24,31,14,17,10,22,21,18,25,18,17,17,15,20,22,26,25,18,18,22,21,20,19,12,26,21,27,12,16,12,12,11,14,16,26,24,18,22,25,21,18,14,25,7,14,25,17,26,19,17,16,14,22,17,22,21,15,15,11,30,21,23,22,21,16,19,14,22,25,11,13,20,15,18,15,21,17,26,29,20
21,14,21,18,24,9,13,24,26,23,18,14,16,12,22,13,17,15,10,28,18,25,11,18,18,19,20,20,20,21,10,20,19,20,9,13,19,16,21,13,13,22,16,23,17,21,18,23,19,14,13,29,20,13,16,26,20,20,22,13,23,11,19,19,15,22,16,16,20,16,17,27,16,23,20,16,24,25,17,25,18,14,16,15,17,19,16,15,19,23,25,14,19,14,23,16,26,15,15,12,12,13,23,21,14,21,23,18,23,14,17,14,28,18,25,24,16,17,10,12,14,20,19,20,10,14,15,19,25,19,10,20,24,22,22,13,27,14,11,12,23,17,19,11,16,20,19,10,21,20,16,15,12,10,13,18,12,16,16,20,25,18,19,16,17,16,18,19,19,20,14,14,18,24,22,18,14,25,16,15,15,24,17,15,11,21,27,17,21,19,20,14,16,23,20,26,22,14,14,16,13,17,16,17,19,17,15,16,16,21,16,18,24,17,21,18,15,20,20,21,16,17,19,21,16,29,15,22,23,16,23,18,17,16,27,23,15,15,22,12,20,21,13,16,16,19,17,19,21,21,27,18,12,21,20,19
17,19,23,16,17,21,17,15,10,21,21,24,14,24,20,22,23,19,17,23,21,23,20,17,22,16,22,17,12,18,14,22,21,12,18,20,20,17,17,14,27,16,26,21,12,16,20,14,14,17,19,12,23,21,23,7,13,19,16,21,20,19,15,16,24,19,17,18,17,19,14,24,23,25,17,15,15,14,12,18,25,20,21,13,22,21,19,14,20,24,18,19,11,18,12,16,19,25,15,17,25,23,17,20,13,22,19,16,16,20,10,18,11,21,5,20,18,24,14,20,13,18,19,14,23,23,11,25,22,17,14,19,27,16,20,19,11,16,15,19,17,20,19,18,20,20,16,18,19,18,13,15,22,21,16,24,23,15,13,17,16,12,20,23,18,14,23,20,16,19,15,14,15,13,21,20,21,24,8,17,20,20,14,23,16,17,20,19,25,16,25,20,15,19,16,19,16,13,17,20,18,28,16,21,19,11,18,18,21,17,26,16,24,27,21,18,13,18,18,16,9,17,25,19,21,16,22,17,17,28,16,19,12,14,30,20,14,19,20,23,18,17,20,14,19,14,17,9,30,14,18,11,24,24,15,12
16,19,19,26,16,19,22,19,20,23,12,14,15,24,20,24,16,10,8,29,14,15,19,19,15,21,19,12,22,17,21,24,21,9,22,22,17,10,17,14,10,12,15,18,30,16,12,13,16,12,18,17,13,17,20,18,12,15,17,20,19,23,15,18,24,22,19,19,14,23,18,20,29,17,14,14,19,15,18,15,17,18,22,19,23,14,19,17,18,12,20,19,19,11,9,19,17,24,19,12,13,17,26,20,12,22,16,16,18,24,20,19,12,17,14,18,19,20,20,13,13,19,17,17,12,15,27,17,14,19,17,16,13,23,16,22,18,16,18,23,21,10,23,16,24,14,20,23,13,17,27,15,8,23,16,22,21,29,28,15,21,15,20,24,25,26,20,15,20,25,23,18,12,21,17,13,18,20,28,10,13,21,15,18,11,28,25,21,15,18,18,12,12,18,14,21,25,16,23,22,19,21,16,10,20,21,21,25,19,20,16,21,20,17,27,22,21,25,23,15,24,15,20,22,14,16,14,22,26,17,21,17,15,14,15,28,11,21,17,23,12,16,18,25,11,18,14,18,15,15,15,16,26,25,17,24
21,14,22,21,8,20,22,20,17,17,20,25,22,19,22,18,20,18,15,20,15,17,23,17,22,17,19,18,20,20,20,18,17,25,23,18,21,12,19,15,14,14,15,23,14,20,14,16,19,23,19,13,27,18,14,19,17,14,18,16,16,24,11,21,20,18,18,14,11,13,16,20,22,21,19,19,16,14,19,16,17,16,15,16,19,19,17,20,14,12,23,18,13,16,24,20,22,18,18,16,17,14,15,14,12,18,21,18,13,15,20,17,16,11,16,17,24,13,21,15,13,24,20,17,16,20,16,12,28,18,15,18,23,13,15,22,15,16,19,13,28,23,17,14,15,20,20,15,15,15,16,16,19,14,20,17,17,13,19,16,16,28,11,19,20,17,18,22,23,17,21,22,18,18,21,22,17,18,27,11,19,18,9,17,13,21,17,16,18,22,25,14,20,20,17,27,17,14,15,22,17,15,15,22,14,20,23,24,16,19,14,18,17,19,15,26,25,16,17,23,13,13,17,14,19,28,17,14,17,23,22,14,24,13,14,14,16,17,24,21,16,23,14,12,20,20,14,21,13,19,24,17,14,10,18,14
18,15,20,13,18,27,26,18,22,21,18,12,23,22,20,21,27,20,22,17,18,24,18,20,21,20,20,18,22,17,16,14,17,21,17,25,19,17,18,17,15,14,18,11,21,11,21,23,7,19,15,18,22,11,21,15,20,21,17,16,18,21,17,17,23,16,18,24,17,12,14,15,23,14,16,15,19,18,15,24,18,17,18,19,20,13,19,15,29,22,22,17,18,21,14,14,15,22,22,13,24,18,14,19,18,15,25,15,28,24,16,20,19,11,20,20,21,17,22,24,16,18,15,25,20,19,20,24,21,25,14,18,21,26,21,20,17,12,20,9,16,19,16,23,16,20,14,17,15,20,16,17,18,13,20,24,22,19,17,25,22,18,10,13,13,7,20,25,21,24,23,17,19,13,16,26,13,21,22,14,25,23,18,19,20,24,21,14,25,22,24,20,19,16,21,23,26,19,12,15,27,15,18,19,21,21,20,13,14,25,18,20,21,20,14,16,20,13,20,12,13,19,20,20,25,15,10,26,14,21,15,19,25,18,19,14,18,15,10,18,19,19,19,21,16,17,12,17,16,18,20,21,25,17,12,28
20,12,13,22,13,26,18,24,14,18,21,20,23,17,18,22,24,24,7,19,27,23,18,14,11,14,26,25,18,19,16,15,21,18,22,12,16,21,12,14,20,24,19,27,22,23,20,23,13,16,18,15,17,14,16,22,13,17,24,17,12,16,13,20,20,24,32,15,23,17,17,20,19,26,18,9,19,20,21,20,21,22,12,13,29,20,14,15,10,20,16,9,25,17,15,16,16,21,16,20,16,10,16,16,20,22,19,18,16,20,12,15,19,19,25,22,13,27,12,16,18,18,14,18,14,23,19,17,22,15,24,18,15,20,17,14,17,15,19,21,15,15,17,22,17,17,14,14,16,25,13,21,17,20,19,17,24,27,21,16,21,21,22,22,19,21,17,15,21,19,26,25,8,20,21,19,20,19,22,19,16,15,15,18,24,15,20,17,16,20,19,11,19,22,12,13,19,17,18,18,25,12,22,25,22,16,12,29,20,24,16,13,12,13,18,18,23,18,20,22,10,16,20,17,20,18,17,14,12,16,20,21,21,19,20,23,24,21,11,17,13,18,24,16,13,20,19,16,19,24,20,16,16,21,26,22
12,16,26,10,19,19,17,25,14,20,16,11,14,20,25,19,20,19,18,25,27,16,15,14,16,21,26,24,13,31,18,17,17,18,19,15,22,33,17,22,20,14,16,20,15,17,18,17,12,29,18,20,20,11,19,15,15,18,14,9,11,13,19,31,14,28,20,16,26,19,29,10,22,22,21,22,15,15,13,13,19,17,12,19,19,16,26,23,21,19,19,18,24,19,24,16,25,20,22,16,21,24,19,18,13,23,21,16,23,17,19,11,16,19,21,12,19,16,16,25,22,14,26,19,13,23,19,11,16,15,13,12,20,23,17,17,11,20,15,19,14,20,7,15,11,20,10,16,11,15,16,13,11,17,11,21,16,18,16,21,21,19,16,15,27,19,19,13,17,20,22,22,15,14,15,16,13,25,21,18,22,19,23,28,18,14,18,22,14,21,21,22,16,23,13,16,27,27,15,24,21,18,11,19,25,14,27,23,23,24,25,17,28,18,18,18,18,10,12,18,17,13,15,28,14,12,23,16,16,12,13,22,18,16,20,15,15,18,19,23,21,24,19,20,12,14,20,13,16,19,16,15,16,13,13,14
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20,19,21,12,19,18,16,15,15,15,16,23,20,16,16,22,21,13,20,18,14,12,25,12,15,19,13,16,9,18,26,24,18,25,13,15,22,21,17,16,26,21,25,14,19,16,13,14,12,27,15,16,20,17,21,14,19,19,19,15,20,23,23,23,10,19,21,15,28,13,12,19,15,15,18,21,11,19,17,16,12,19,17,20,20,23,21,17,12,17,11,17,17,24,16,15,13,15,21,23,21,16,18,13,15,19,19,18,21,18,13,12,12,23,12,16,22,21,16,31,15,14,13,22,15,25,16,18,24,20,12,11,23,22,19,13,20,25,19,22,14,24,28,18,16,16,22,12,17,18,23,16,22,23,23,18,29,21,16,23,18,28,17,14,19,28,12,14,12,16,17,17,17,17,17,21,23,27,13,19,10,19,25,16,18,19,22,26,19,20,19,14,14,15,9,16,17,22,21,12,19,17,19,18,13,15,21,15,18,16,28,15,22,21,20,18,12,26,23,18,16,12,18,15,21,26,16,25,21,17,19,10,22,15,23,23,20,12,16,20,10,22,13,17,14,26,19,21,20,18,25,26,21,23,13,14
13,24,13,19,21,20,13,18,26,16,25,18,16,17,18,24,15,14,28,14,16,23,12,23,18,23,17,11,23,23,17,20,18,20,11,25,18,20,19,24,25,20,15,23,14,16,15,19,16,17,26,12,20,13,25,25,20,19,24,16,18,18,18,27,9,16,20,19,15,23,21,22,15,14,11,20,12,11,20,17,19,25,23,19,16,15,13,13,16,19,18,22,12,21,15,30,27,9,21,17,12,15,17,19,18,30,16,25,11,23,22,22,16,16,15,21,16,31,18,14,19,16,13,17,19,18,21,20,19,19,19,31,15,17,16,21,20,20,19,14,17,16,18,22,16,15,15,24,16,15,15,19,21,18,18,24,10,14,13,20,20,25,24,17,19,15,16,16,20,17,25,25,19,16,12,17,25,16,18,21,9,14,15,14,18,20,19,16,20,29,12,10,11,19,19,19,15,24,22,14,17,18,23,11,17,15,21,23,15,17,29,18,15,16,22,21,24,18,20,12,23,12,26,31,17,18,23,22,17,15,20,17,19,23,17,15,21,22,17,19,29,23,11,18,13,14,17,29,13,16,18,16,23,22,28,21
19,12,15,11,20,21,22,16,13,12,20,20,18,17,22,21,17,18,15,13,9,14,22,18,18,20,14,11,22,21,20,23,20,17,19,17,14,22,23,10,10,16,19,13,25,25,15,14,25,26,13,17,27,26,23,16,7,19,16,16,19,17,11,15,19,14,18,15,18,19,18,22,21,12,18,15,24,16,15,23,22,22,19,31,19,16,16,17,21,17,22,17,19,26,10,18,24,15,17,21,20,25,16,15,23,20,16,11,19,27,18,18,17,19,25,23,24,20,27,11,16,15,8,13,23,23,15,12,15,22,19,21,15,18,18,26,17,8,13,27,21,16,13,11,19,15,20,23,21,17,14,13,24,15,17,20,20,15,20,18,15,23,18,10,16,21,16,21,22,16,19,18,12,17,28,20,23,21,18,15,19,19,19,18,21,17,15,18,21,15,20,22,16,19,16,15,14,16,17,21,20,19,15,18,16,22,21,19,24,24,19,21,19,15,16,20,24,17,17,18,16,20,23,14,22,14,22,20,16,26,16,12,15,16,18,13,13,20,18,27,12,19,15,22,20,19,21,21,14,12,16,14,15,21,23,20
20,18,20,11,14,19,22,19,18,15,14,25,12,14,18,18,12,18,15,21,20,16,17,19,25,11,24,21,15,17,18,21,13,7,20,19,20,17,19,12,19,15,20,16,16,27,23,15,20,25,14,21,19,16,17,16,16,31,15,19,16,22,16,10,27,17,23,21,24,25,22,18,16,22,15,17,13,24,22,15,18,24,27,19,20,18,17,16,15,23,23,24,12,20,18,14,26,16,16,24,14,19,13,24,20,20,20,19,17,13,17,22,17,19,21,18,12,18,12,17,26,16,24,17,14,19,15,17,20,23,20,21,12,20,23,18,24,20,12,19,15,17,18,17,17,15,23,19,13,30,19,26,17,19,25,23,17,18,22,14,20,30,17,15,12,11,20,12,19,18,17,20,17,18,16,17,20,21,15,23,16,16,18,13,11,16,18,17,10,20,22,20,24,16,23,21,17,16,12,18,25,17,16,13,20,24,22,18,22,21,19,18,14,13,22,21,13,14,15,16,19,20,16,21,23,19,22,15,21,17,11,28,17,18,20,10,25,17,13,20,14,16,15,18,17,19,21,18,18,16,11,13,16,18,26,22
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20,23,22,21,18,15,16,17,20,13,21,15,29,17,27,25,21,23,17,19,14,16,15,16,14,13,17,17,14,16,18,27,8,12,28,20,18,24,24,14,19,20,13,13,16,28,24,25,18,17,25,20,19,19,25,23,13,14,16,18,20,20,21,18,14,21,25,18,21,17,20,19,24,21,17,29,21,14,23,10,14,17,15,19,17,17,19,18,25,19,14,23,17,21,15,19,21,19,23,19,19,14,22,14,13,18,21,13,16,21,19,12,22,15,13,15,16,14,26,17,16,12,14,16,18,15,20,28,17,22,16,15,20,23,22,17,23,19,21,17,11,19,14,27,26,13,18,20,15,13,21,18,18,14,18,16,19,26,18,13,20,23,14,18,22,16,20,24,22,13,13,16,21,19,23,21,11,19,20,18,18,22,14,21,18,15,13,15,15,16,23,21,22,26,17,18,17,14,20,17,16,22,20,20,10,22,17,14,22,20,18,16,10,17,18,19,16,17,16,17,19,17,13,19,22,34,14,18,23,16,9,17,21,16,19,23,16,18,21,23,15,17,11,7,13,23,14,24,14,14,13,25,20,18,14,23
21,27,15,20,12,17,10,18,20,22,14,17,17,18,12,13,18,12,16,18,24,18,18,23,16,19,10,17,23,18,16,20,13,24,14,18,11,20,18,16,17,14,21,17,18,21,12,18,14,24,20,22,14,20,16,17,17,18,16,20,14,17,17,15,22,21,19,26,23,20,19,15,25,21,13,27,21,18,20,18,18,13,21,17,16,10,18,23,20,12,18,20,23,13,16,12,17,14,11,22,19,18,21,10,15,20,16,15,21,20,25,19,21,18,14,20,22,22,19,29,10,16,26,20,15,18,15,24,22,13,17,21,17,26,20,24,26,27,27,17,18,13,18,22,15,14,20,22,13,19,25,18,26,17,23,18,28,15,18,15,19,14,9,14,30,13,17,13,12,23,13,15,20,19,23,26,21,12,22,18,13,19,30,26,15,14,19,22,21,15,17,10,14,19,26,17,9,14,19,23,21,21,13,18,15,17,14,25,25,21,15,15,24,16,15,14,11,29,23,20,19,23,16,25,15,22,25,21,27,19,16,22,14,17,12,11,16,29,17,23,22,18,16,10,29,22,11,14,17,21,17,10,15,22,18,22
19,24,17,24,19,27,17,19,14,20,16,22,12,17,14,18,23,16,16,24,24,19,25,21,16,26,14,20,25,12,19,24,15,18,14,18,15,12,23,24,11,24,25,15,18,18,17,16,16,15,15,26,25,10,18,26,18,16,19,21,21,20,26,18,14,14,11,24,17,21,26,13,12,29,17,23,16,20,27,20,15,21,20,20,23,18,17,23,16,22,20,21,13,25,18,13,17,13,17,24,23,22,27,23,22,10,18,28,28,23,27,30,16,23,12,18,11,25,20,27,15,18,22,13,12,21,17,15,19,16,22,10,21,20,25,21,23,20,24,16,18,9,25,15,16,20,20,27,19,29,24,13,16,15,13,19,18,16,14,16,8,14,25,24,18,11,14,13,20,16,23,17,18,17,22,17,17,11,18,24,23,18,15,17,18,21,14,32,21,15,21,16,19,13,15,19,25,20,15,18,12,19,17,17,18,14,15,23,17,18,18,13,19,23,16,20,25,25,19,21,18,31,27,20,16,12,20,15,18,14,14,16,20,19,9,12,20,25,12,18,13,19,24,10,20,16,20,21,21,15,20,19,16,21,20,10
15,21,20,17,23,18,21,18,12,18,14,17,20,21,21,13,15,19,20,14,15,10,19,24,22,17,20,22,20,10,12,17,15,16,27,16,17,11,15,19,18,12,23,23,16,21,14,25,15,19,17,24,19,17,23,17,13,16,21,26,22,24,17,21,22,19,18,17,22,24,23,20,19,14,18,17,14,21,19,21,18,14,13,24,15,18,19,19,16,14,14,24,23,12,19,17,24,18,19,19,17,16,19,8,18,14,16,16,11,24,25,18,17,16,11,16,21,24,25,19,18,15,17,18,23,16,22,17,17,13,20,18,21,14,21,13,13,17,14,18,13,18,14,22,18,16,23,9,19,21,20,28,16,26,19,19,25,23,15,17,14,17,18,22,15,25,27,13,25,21,19,22,19,22,18,16,14,24,22,17,21,29,19,19,15,19,15,23,24,19,15,13,19,26,25,21,18,14,14,17,13,19,30,30,18,9,19,19,18,20,16,15,12,22,15,20,17,26,22,19,17,22,17,18,16,23,19,23,14,20,20,23,13,18,12,19,20,15,12,25,15,16,22,25,29,14,18,18,27,20,14,18,16,13,16,15
15,16,14,13,12,19,9,14,15,30,26,10,14,14,20,26,24,19,14,12,15,15,24,17,14,17,12,24,19,19,24,15,25,20,5,14,20,21,13,13,18,26,13,15,15,15,22,12,20,24,18,20,17,15,12,16,17,24,16,23,14,18,11,13,23,13,11,17,26,17,15,14,26,21,18,13,15,22,18,22,16,21,22,18,16,18,17,18,18,26,21,22,20,16,18,21,19,18,21,18,17,15,23,12,17,19,17,11,10,22,23,18,20,15,20,22,18,18,26,30,22,17,18,19,15,17,15,20,22,15,23,14,15,23,26,9,13,14,11,14,21,15,16,10,9,19,21,20,21,16,21,20,13,21,23,27,24,21,21,22,13,21,14,18,20,14,23,21,24,13,20,22,13,8,25,17,13,13,12,21,20,20,15,15,17,16,18,13,19,18,24,9,19,15,19,15,25,23,19,28,15,19,18,11,25,15,19,16,22,15,18,20,24,16,19,16,22,23,19,20,19,23,15,15,22,10,16,15,12,18,21,11,18,27,22,14,19,17,19,17,17,21,19,16,14,24,20,18,15,26,23,19,16,13,13,15
18,15,18,16,21,18,16,27,17,22,23,24,16,20,16,13,17,24,23,19,24,13,16,23,22,29,12,20,10,16,15,17,25,28,19,23,12,22,15,14,20,18,12,22,15,17,15,15,17,20,18,16,15,19,20,24,17,18,26,15,11,21,18,20,25,19,16,16,22,16,23,18,22,17,17,12,9,10,17,18,19,25,14,12,18,25,17,18,16,15,21,12,19,18,12,13,17,17,17,11,16,20,19,16,13,22,15,16,16,13,22,23,24,16,12,27,21,11,22,14,13,26,20,21,24,21,16,14,25,20,26,21,23,16,14,14,14,18,26,19,21,17,17,16,14,12,16,20,19,30,14,18,16,16,13,13,16,15,12,22,17,19,14,14,13,27,23,15,18,17,18,19,11,24,17,19,14,16,20,14,20,17,21,12,20,15,23,16,24,14,21,22,22,10,19,20,20,13,21,19,18,16,12,24,14,17,6,16,21,23,14,29,18,17,15,23,24,23,14,21,20,12,23,16,14,22,17,17,11,15,20,17,18,22,22,21,13,12,13,22,18,23,18,23,22,10,16,17,16,23,13,14,14,18,11,20
22,18,22,16,17,15,21,19,28,18,18,20,20,17,21,22,12,12,16,23,22,18,11,23,24,12,17,23,19,16,14,22,15,13,17,14,19,15,23,19,21,24,14,16,16,27,19,27,23,21,21,20,14,19,24,22,13,18,20,14,12,22,22,17,21,12,12,31,16,14,14,18,12,18,20,15,21,10,21,9,14,13,17,19,24,19,19,18,19,17,13,20,21,13,25,24,17,18,8,17,21,20,17,19,19,17,18,10,14,14,17,9,15,19,26,21,16,27,13,21,24,22,22,19,25,13,23,24,19,15,23,20,20,16,23,20,20,15,21,13,13,19,15,24,21,20,17,14,19,13,17,19,15,20,23,12,19,6,17,19,14,13,24,27,14,10,19,15,16,11,23,12,11,16,14,18,20,19,23,16,25,19,14,17,16,19,38,15,15,15,20,14,13,23,15,14,21,12,28,16,24,13,19,27,13,15,16,26,22,22,14,16,19,15,20,27,20,22,17,17,22,25,16,26,17,16,14,23,15,24,20,23,12,25,17,21,14,18,19,18,18,23,19,14,18,16,25,25,17,26,19,12,17,15,13,24
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23,20,20,21,15,22,21,12,18,21,15,12,25,17,12,19,15,13,25,19,26,17,19,14,17,13,9,12,18,16,19,14,18,17,18,11,10,23,18,21,17,9,14,18,22,20,14,24,12,10,10,13,17,19,18,13,16,11,19,21,21,24,23,15,17,17,23,17,16,15,19,19,19,17,24,20,21,15,19,25,17,19,17,18,22,19,21,15,20,18,23,18,23,18,20,22,12,20,22,21,18,23,10,7,18,23,19,20,18,15,17,19,23,17,25,17,16,22,13,33,27,17,18,18,20,21,18,13,12,17,19,24,13,10,12,21,15,19,14,21,16,16,22,13,19,19,21,21,19,28,11,17,20,17,18,13,15,9,20,17,12,24,18,15,23,24,14,17,16,15,16,21,19,27,18,20,26,17,14,14,18,19,16,14,21,15,26,14,23,12,13,22,23,18,21,17,23,10,19,19,15,31,15,25,19,16,21,13,17,14,17,15,22,21,20,24,24,17,15,16,31,18,21,22,17,24,25,12,20,29,24,18,17,15,20,16,19,27,25,22,15,17,17,18,16,13,25,15,19,15,22,22,22,15,25,20
20,18,13,24,14,22,17,19,19,14,24,16,20,21,13,13,17,18,17,24,17,12,18,14,15,10,14,26,20,13,27,17,18,12,18,13,15,26,20,20,29,18,15,18,15,21,24,14,15,29,13,20,23,16,28,22,16,14,17,16,26,17,27,23,13,23,16,23,10,16,20,12,16,20,14,14,15,20,11,17,20,17,22,9,18,20,21,21,16,18,29,19,13,14,19,13,25,10,22,24,15,19,21,20,18,11,22,11,15,16,26,27,20,20,8,11,20,14,13,22,16,21,22,24,28,20,20,23,21,15,19,18,13,23,12,15,12,22,14,16,16,21,13,18,16,21,16,18,18,19,19,20,14,18,24,23,21,15,28,13,14,28,18,14,19,18,22,26,14,18,20,18,19,15,12,25,20,24,18,18,14,15,15,18,14,22,17,18,10,13,13,16,15,15,25,24,17,21,14,13,15,15,23,19,17,21,21,22,23,19,20,25,20,18,24,15,17,20,20,19,13,19,18,17,18,27,17,16,18,12,15,18,18,16,23,18,21,21,27,21,22,17,21,23,16,18,17,17,14,15,19,19,20,14,30,20
19,15,21,21,14,16,16,20,18,22,19,16,23,18,26,11,12,25,17,18,22,18,18,13,22,20,13,23,19,14,18,22,15,9,18,22,15,22,18,11,18,13,20,27,19,21,15,18,13,15,23,22,15,20,24,24,23,12,18,18,11,14,19,21,21,18,27,20,19,18,26,32,23,22,11,18,17,15,13,24,21,19,12,15,21,17,24,24,16,14,25,16,11,24,23,20,14,21,15,11,14,23,15,17,16,16,15,17,13,15,14,27,18,16,20,16,18,18,12,21,17,17,16,20,26,15,23,20,23,19,13,14,18,22,13,13,13,18,21,19,19,15,20,18,22,23,24,15,14,14,20,20,17,13,19,14,17,18,21,22,20,21,17,16,14,14,18,21,19,13,14,19,20,21,20,18,16,25,22,18,21,17,18,10,16,21,18,21,22,17,14,15,19,19,24,25,15,18,20,17,17,10,24,15,20,19,11,24,17,9,13,18,19,19,17,22,19,14,20,22,12,14,18,18,23,17,17,23,17,17,16,22,23,19,19,24,17,14,24,25,20,9,13,11,20,28,19,18,20,15,30,18,19,17,14,9
25,23,16,20,19,19,16,21,15,23,16,19,19,19,13,23,24,12,19,14,19,20,14,14,21,18,18,12,21,16,24,17,18,14,24,13,17,23,13,18,14,13,20,19,19,14,13,14,13,29,16,19,18,13,15,22,14,17,18,22,17,13,17,21,25,19,19,21,29,17,11,14,23,19,25,30,15,21,13,16,18,15,20,11,20,13,20,20,20,13,11,14,14,24,19,24,17,13,12,17,17,19,20,13,26,21,16,20,15,24,22,13,17,30,16,21,14,16,18,16,23,21,15,20,23,12,16,20,20,16,28,20,10,17,24,16,25,23,27,13,19,21,14,22,18,20,22,23,22,16,24,14,20,24,15,20,17,22,18,13,23,16,17,20,24,18,20,21,20,19,22,10,25,24,18,14,19,19,24,20,24,20,18,21,23,23,19,19,23,15,17,14,12,12,25,24,15,23,13,24,12,11,17,13,29,14,11,16,12,18,23,18,22,18,20,24,11,26,18,17,21,17,19,17,23,17,19,22,20,20,13,12,16,18,19,16,16,22,30,17,13,21,21,21,19,17,16,13,20,24,14,15,28,23,21,15
19,20,20,19,12,16,11,16,17,18,20,23,18,10,11,16,18,21,17,18,20,16,14,22,22,16,23,23,17,19,26,17,28,10,23,13,13,15,18,23,21,18,22,26,19,16,26,21,20,16,17,23,22,19,17,27,15,24,22,25,29,21,15,21,21,8,15,13,14,16,22,23,20,17,14,27,23,23,22,17,19,23,21,24,25,14,16,18,14,17,21,24,19,16,20,13,16,17,23,17,22,15,14,16,18,18,19,16,14,14,16,18,19,25,12,23,15,13,18,16,15,24,24,11,18,13,13,23,22,23,26,17,14,24,18,14,14,25,16,9,22,18,20,21,19,18,23,16,25,14,22,14,21,18,14,21,14,19,22,22,16,9,17,12,21,17,27,21,19,17,20,21,16,14,13,18,14,23,15,27,17,24,12,16,17,17,18,15,16,11,17,24,18,19,35,18,14,17,22,14,17,26,19,21,14,17,20,14,18,27,25,10,16,16,20,22,16,16,18,13,22,18,17,23,17,14,17,15,17,14,25,29,19,18,17,19,24,13,13,17,20,13,19,19,22,15,22,23,26,19,18,29,16,24,25,19
12,13,19,23,13,21,19,22,19,14,18,17,24,20,13,17,18,22,18,12,20,17,18,26,22,15,18,18,26,13,18,22,31,20,16,21,30,21,14,15,20,23,15,17,16,16,21,20,19,24,16,15,17,13,13,20,18,18,15,20,18,17,15,22,14,22,21,19,17,17,13,17,14,17,15,11,17,14,20,19,16,14,12,19,23,26,17,25,15,25,12,31,12,12,27,17,19,17,19,14,26,16,22,15,14,21,16,18,19,15,25,20,15,22,18,16,21,13,8,17,22,16,16,12,18,16,17,19,9,16,12,29,23,16,23,17,23,25,19,21,26,16,19,24,14,19,22,18,20,23,19,18,12,15,19,18,15,17,18,25,21,16,25,20,24,18,15,8,20,13,12,15,20,25,24,23,24,22,18,14,21,20,15,21,21,15,17,21,15,14,17,23,21,11,13,16,8,20,12,13,17,15,20,17,25,25,12,16,18,18,16,16,19,23,16,26,21,15,20,18,23,11,15,13,20,21,16,27,22,21,15,19,16,11,20,26,20,13,26,20,18,24,22,16,13,12,27,15,15,19,13,15,19,23,20,20
20,21,16,11,20,18,22,27,13,17,18,21,19,16,24,20,25,14,20,20,24,9,14,15,23,20,16,20,19,18,23,20,11,17,12,16,20,20,13,22,12,20,24,18,15,23,17,15,17,19,19,21,13,13,22,12,15,15,17,19,17,28,20,17,18,17,20,21,15,17,20,10,17,16,19,22,17,16,21,10,25,15,17,23,13,15,16,12,25,19,11,13,21,23,13,22,20,20,24,14,16,13,21,18,13,17,15,14,10,14,12,20,15,17,17,25,36,12,15,13,13,16,15,26,22,14,18,20,17,14,19,19,24,13,16,12,12,15,22,11,16,27,18,14,11,18,16,20,17,17,21,15,18,14,14,16,18,19,23,24,15,19,13,21,17,12,10,22,17,14,27,13,18,15,19,14,16,16,18,20,14,23,20,13,18,25,19,13,16,17,18,22,9,29,22,15,23,22,23,19,21,12,15,22,19,15,15,17,16,17,19,20,19,24,30,20,11,12,20,14,17,26,20,13,19,13,26,18,15,21,15,24,11,17,22,16,20,18,16,20,14,20,22,24,22,19,21,19,22,26,25,19,23,14,23,20
21,18,14,21,18,20,14,15,14,18,16,19,18,14,22,12,13,25,11,17,22,22,21,19,20,27,21,18,20,21,15,17,18,16,15,20,22,24,20,18,14,16,30,13,17,22,20,21,13,22,24,22,14,17,14,22,19,23,18,16,16,26,16,21,28,7,11,20,17,22,17,12,19,20,19,15,15,15,15,17,21,18,15,20,14,17,20,10,14,17,13,27,22,17,18,16,18,11,22,16,16,13,16,27,18,16,23,19,12,18,22,25,13,20,24,10,22,13,16,20,15,16,20,15,20,15,13,19,21,17,27,23,19,15,25,22,19,24,19,12,14,24,15,17,18,16,16,11,21,18,16,15,14,22,11,15,16,25,15,16,22,18,18,20,18,11,17,18,27,22,20,17,16,17,19,21,22,14,18,18,22,11,14,13,24,24,13,21,22,15,18,24,23,9,15,23,14,16,16,22,20,23,16,28,21,22,21,13,21,18,18,10,20,17,21,19,14,21,14,27,13,20,14,18,18,24,24,22,18,18,17,11,22,14,17,16,16,18,22,14,21,12,23,27,11,21,12,23,24,14,13,17,18,28,18,15
16,18,13,20,21,26,26,13,23,14,15,18,24,19,15,12,12,25,30,25,18,16,16,21,21,14,16,32,12,10,26,13,18,13,17,21,23,13,8,20,18,9,21,20,13,23,16,22,13,30,17,18,14,24,14,17,25,18,13,24,18,19,13,15,13,25,15,19,20,17,17,21,20,15,23,18,13,19,20,23,19,14,13,14,20,20,15,22,10,15,15,19,20,16,19,17,16,20,32,16,22,13,20,19,21,22,20,19,20,18,17,22,23,24,14,20,14,19,17,17,12,18,18,22,18,21,23,17,25,14,20,24,20,21,15,23,18,19,12,15,27,16,22,22,15,17,24,23,26,14,16,17,21,20,19,15,18,14,18,19,12,18,20,24,11,18,15,17,16,16,22,16,19,13,21,21,17,16,14,12,21,16,16,25,20,26,18,24,23,17,27,22,13,26,19,24,19,22,23,11,11,12,21,18,16,27,12,18,25,12,16,20,16,14,17,18,24,18,18,26,21,14,16,31,17,11,19,18,23,20,14,18,17,22,12,23,18,18,22,20,18,24,20,21,9,10,23,15,22,26,19,20,18,19,22,15
26,12,15,16,18,12,26,24,13,15,11,21,23,22,14,13,23,13,22,19,19,15,24,17,24,24,16,17,22,17,19,28,14,19,14,21,23,25,20,18,18,15,20,17,15,22,24,23,19,17,12,21,10,15,17,14,19,16,13,19,12,14,23,19,18,14,19,18,16,19,11,23,19,16,18,10,21,21,19,15,17,13,13,13,20,22,17,18,16,21,15,14,23,13,12,12,16,25,22,15,19,19,20,27,21,22,21,17,19,21,25,29,17,20,28,17,20,17,16,15,17,12,18,24,23,14,22,12,23,26,16,24,22,22,17,17,23,14,18,12,16,11,17,14,19,21,16,20,19,17,13,14,25,15,24,22,17,19,20,20,16,13,11,18,15,18,25,19,19,12,22,24,20,18,10,19,9,23,15,15,13,18,16,20,18,16,20,18,12,17,18,18,27,16,15,28,18,24,15,15,18,27,20,18,26,14,26,16,18,22,15,23,15,27,16,20,11,22,20,28,17,18,20,17,21,26,23,20,14,21,13,11,14,17,19,8,22,25,27,23,17,14,16,16,17,15,15,16,19,26,17,21,25,30,23,25
17,21,18,22,24,9,24,22,20,13,13,12,19,14,18,23,15,15,19,19,10,14,19,21,14,21,13,16,19,25,11,15,22,15,18,19,15,18,25,24,14,26,16,18,21,10,22,23,23,25,23,16,14,19,17,16,14,12,17,18,20,21,17,25,19,11,16,22,23,22,17,13,20,18,21,17,22,13,22,17,23,22,16,25,13,20,19,12,18,18,20,26,19,20,22,22,14,17,17,29,16,26,14,33,23,14,14,30,24,20,18,18,18,19,14,16,19,19,13,28,27,14,22,18,19,22,16,22,18,17,21,12,23,12,20,25,13,22,21,22,20,20,22,22,19,16,22,17,24,19,14,18,22,22,21,23,19,24,19,24,20,14,17,18,24,18,18,20,22,15,17,14,15,24,19,21,23,25,19,16,16,22,12,17,16,13,18,18,25,26,15,19,15,22,16,23,22,21,13,16,7,18,13,16,14,10,31,18,10,16,20,19,13,21,23,18,21,20,18,18,21,24,23,16,20,20,17,18,15,20,20,19,19,21,15,19,15,24,11,21,16,15,13,13,10,16,18,21,16,19,21,22,16,32,21,18
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1,3,2,0,2,4,2,3,4,0,5,2,6,1,8,4,5,1,1,4,3,3,1,5,0,4,3,6,3,1,0,4,3,2,4,0,4,2,2,1,3,2,6,3,2,4,2,3,5,4,2,2,5,8,2,3,9,1,1,2,7,1,2,5,4,2,3,0,1,3,3,3,3,5,0,3,3,10,5,4,2,2,3,4,1,2,3,4,5,4,4,1,4,3,1,2,3,2,3,4,5,5,2,4,1,5,0,3,7,1,2,0,0,4,2,3,5,3,0,2,2,3,4,3,3,3,3,1,5,3,7,7,2,3,5,4,6,1,5,5,5,3,2,8,2,2,2,3,2,3,5,2,5,4,0,4,7,5,4,4,3,3,2,3,2,1,4,0,2,4,3,3,2,2,1,4,2,3,4,2,2,1,1,0,1,1,2,0,1,0,1,3,4,2,1,0,1,5,3,2,5,2,3,2,7,2,5,3,4,2,5,2,1,3,5,1,2,2,3,5,1,2,0,0,8,1,2,2,2,2,6,6,3,1,5,1,2,4,4,5,2,6,0,3,2,2,2,4,3,2,4,2,11,4,7,3
2,3,1,1,5,2,3,3,2,1,8,3,1,0,4,2,4,1,3,2,2,3,1,1,5,3,3,4,1,2,3,2,3,0,3,2,1,3,2,1,4,2,3,3,1,4,2,1,0,2,1,1,1,4,4,5,3,8,1,3,1,3,2,2,3,5,4,2,5,5,2,1,6,3,0,0,3,0,3,2,1,2,3,1,6,2,2,1,0,7,5,6,3,2,6,3,2,4,1,3,1,1,4,4,1,3,6,2,7,5,5,3,7,7,4,0,4,3,3,1,3,3,6,3,5,1,4,3,1,4,0,2,4,2,3,0,1,4,2,4,0,4,3,4,0,2,2,3,2,1,2,3,2,0,1,1,6,4,3,3,3,3,2,5,3,2,1,5,1,3,3,5,4,4,5,0,4,3,1,3,1,1,1,1,1,1,1,1,3,2,2,1,0,0,1,1,3,1,1,4,2,7,1,6,3,5,4,1,1,6,6,3,4,3,5,3,0,1,1,1,4,2,3,0,6,6,5,4,4,3,6,2,4,3,4,3,5,5,1,2,4,3,6,1,3,4,7,0,7,3,6,4,4,1,7,5
3,5,2,2,3,3,1,3,2,3,2,4,2,4,3,6,1,3,7,3,2,1,0,4,6,2,2,2,2,5,2,3,3,2,3,4,2,3,2,6,3,1,4,3,5,5,3,3,1,3,6,2,6,5,4,5,9,7,2,1,4,7,3,3,5,4,4,2,3,4,2,6,0,2,4,4,4,1,2,4,4,9,2,2,4,4,8,3,1,6,4,3,4,4,5,2,5,2,3,5,7,3,4,2,3,2,1,4,3,5,2,3,3,4,2,3,3,9,1,4,3,3,5,3,6,4,1,3,5,1,3,5,0,4,3,1,0,2,6,3,2,1,5,4,7,4,4,3,4,2,2,6,2,2,5,2,4,2,1,3,4,6,4,3,4,3,4,2,7,3,2,3,3,2,8,3,4,2,3,4,2,1,1,1,0,1,1,1,3,0,3,0,2,2,5,0,1,4,3,1,2,2,5,5,2,6,1,3,5,3,2,0,5,4,3,3,3,5,3,5,5,4,3,4,4,5,3,1,4,1,7,5,5,4,3,3,3,5,1,3,3,2,0,1,3,2,4,7,2,2,4,2,5,5,6,1
3,4,3,2,3,5,4,5,3,1,4,3,6,2,0,2,2,1,1,4,4,5,2,3,1,2,3,2,2,2,2,2,2,5,0,4,3,4,2,5,2,1,8,2,7,2,4,6,4,4,0,0,3,3,7,4,7,1,3,1,1,2,3,4,5,3,4,1,1,3,2,4,1,7,2,2,2,4,5,4,1,2,1,3,1,4,2,3,2,0,2,7,6,4,5,3,4,6,3,2,2,2,4,3,4,6,4,3,2,1,5,4,2,0,1,0,3,2,1,0,6,2,1,5,1,7,2,1,1,3,9,3,1,1,8,5,2,3,5,2,1,2,4,3,4,1,4,3,9,3,3,4,3,5,1,1,6,4,6,4,3,8,6,2,5,8,1,1,5,1,2,2,5,5,1,0,3,4,3,1,0,0,0,1,2,0,0,0,1,1,0,2,0,4,2,1,3,2,5,2,2,2,2,4,4,3,5,4,3,2,1,1,1,3,1,6,1,3,4,6,1,4,6,1,5,2,7,4,3,2,4,4,2,4,3,4,5,2,5,5,0,3,2,4,0,7,3,1,4,1,5,3,4,2,3,2
2,3,0,2,3,0,3,2,4,2,0,2,4,12,1,3,7,4,5,3,1,2,3,5,4,4,3,0,4,6,3,4,5,4,3,3,6,2,0,9,1,6,4,2,2,4,5,7,4,3,3,5,3,1,6,4,1,1,2,1,1,6,5,1,2,5,2,3,2,2,5,2,0,3,5,3,1,3,6,2,2,2,4,4,3,6,1,2,5,6,4,5,1,7,2,3,2,6,5,7,3,2,5,4,1,1,3,3,2,2,1,5,3,2,2,2,3,4,0,4,5,1,2,4,4,0,2,1,4,5,4,3,3,3,4,3,0,4,3,0,3,3,6,2,2,3,0,1,4,2,2,2,3,5,3,4,6,7,4,1,1,3,4,3,2,3,5,4,4,2,3,0,4,2,0,3,3,1,1,0,2,1,0,0,2,1,1,0,1,3,3,1,0,2,3,4,3,9,0,1,3,0,0,1,1,3,3,4,4,5,1,3,3,3,2,5,2,0,1,4,3,2,0,4,0,7,7,3,1,2,3,1,5,1,2,2,3,7,4,5,4,3,3,4,1,4,5,2,3,1,3,4,1,7,0,4
3,6,6,1,2,5,3,4,7,2,2,3,1,2,3,3,4,4,3,5,5,3,3,2,3,3,4,4,6,1,2,2,2,1,0,3,3,6,3,7,0,5,1,2,3,2,4,8,2,0,3,2,1,3,2,2,2,5,5,0,4,2,2,1,3,2,1,3,3,3,2,1,0,4,3,4,7,2,9,6,3,2,1,2,4,3,5,4,1,5,1,1,2,2,3,6,2,2,8,2,4,3,3,3,1,3,4,5,4,2,3,3,5,2,2,4,1,1,5,2,5,4,4,6,2,3,1,4,2,6,4,4,5,3,3,1,4,6,3,1,3,5,2,7,3,3,4,2,5,3,7,2,3,2,8,7,5,2,3,6,3,4,3,4,2,2,3,2,2,0,4,6,3,6,1,5,1,3,1,3,0,1,0,2,0,0,2,1,3,1,2,2,2,1,2,3,2,3,3,4,4,1,1,5,0,3,3,4,8,0,3,3,3,5,7,3,3,3,1,1,2,5,7,3,5,6,2,3,1,10,2,3,2,4,2,2,4,2,3,5,3,2,2,4,3,4,4,5,3,4,5,2,1,2,5,1
6,3,2,3,3,6,4,4,2,3,5,1,0,6,3,2,5,1,0,4,2,4,2,6,3,5,3,1,4,2,3,4,4,6,6,4,1,2,2,4,6,3,7,3,6,1,4,5,1,3,1,4,3,5,1,3,4,4,4,3,2,1,3,1,2,3,3,3,4,2,2,5,2,2,8,2,3,7,3,5,5,3,1,6,6,3,3,1,0,4,2,5,2,4,2,1,3,4,5,3,1,4,4,1,3,3,4,4,2,2,3,2,1,3,2,2,2,0,3,5,2,2,4,2,2,2,3,3,1,4,2,1,4,5,6,2,3,4,0,2,3,2,1,2,2,7,1,3,2,5,1,3,0,2,3,3,1,6,2,2,5,3,4,2,3,2,4,1,5,5,3,1,5,2,3,3,3,1,0,1,0,0,1,0,0,0,1,0,0,1,1,3,1,0,1,2,1,2,5,5,4,0,4,1,2,5,3,2,2,4,2,3,2,3,5,5,1,4,3,1,2,2,3,4,1,5,4,2,3,3,2,4,3,2,2,7,2,3,1,6,5,2,3,3,2,6,4,1,2,2,1,2,6,7,3,3
2,5,2,1,1,3,7,3,2,4,8,3,1,3,1,2,2,6,6,3,0,1,4,2,5,2,4,2,0,3,3,3,5,4,3,4,5,3,2,4,3,3,2,4,1,5,4,4,2,0,1,8,2,1,1,4,3,1,3,4,2,5,5,5,5,5,1,3,3,2,3,7,5,6,4,1,2,4,0,5,5,4,7,0,7,7,1,3,6,3,2,5,5,1,5,5,1,2,8,4,7,4,5,6,2,3,3,3,4,2,3,5,4,1,1,2,1,3,2,2,3,4,5,6,4,2,3,4,4,3,1,3,1,3,3,5,3,2,3,3,1,4,6,4,2,4,2,5,4,6,3,4,5,0,2,2,0,6,3,1,4,1,5,4,3,2,4,3,6,2,2,10,3,3,3,1,0,1,0,2,0,0,0,0,0,2,2,1,0,0,0,0,5,1,4,0,4,1,2,2,5,1,2,1,4,1,2,6,2,4,5,1,3,5,6,4,6,3,6,0,6,0,3,4,1,1,3,3,0,5,2,1,1,3,4,6,0,2,4,3,2,2,4,5,4,2,3,3,2,2,4,2,4,1,6,2
3,4,2,2,1,6,5,7,7,5,4,2,3,3,3,2,3,3,1,4,9,2,1,0,3,1,3,1,1,4,5,1,3,1,3,1,3,2,2,2,3,3,0,1,4,4,0,3,4,3,3,1,5,3,3,6,4,5,3,4,5,2,6,6,3,4,3,3,3,2,0,5,4,5,3,4,2,1,2,2,5,6,4,2,0,3,1,2,5,3,3,4,8,4,1,2,2,2,2,4,5,7,6,0,3,3,4,2,5,2,4,4,4,2,1,3,5,4,3,3,5,5,2,2,2,6,4,2,9,1,1,2,2,2,3,6,4,3,4,0,4,3,6,3,3,6,2,3,4,7,5,3,3,3,5,4,2,1,3,5,1,3,5,4,2,2,0,0,3,4,4,2,3,0,2,5,0,0,0,1,1,3,4,1,0,1,0,4,0,0,1,3,1,4,3,2,1,2,3,2,1,3,4,4,2,4,3,7,4,5,0,2,7,3,3,2,2,3,5,3,1,2,2,2,3,3,2,2,4,3,6,4,9,6,2,2,6,2,3,4,5,5,4,2,1,6,7,11,4,4,3,2,3,5,4,3
4,2,2,5,3,0,3,4,2,5,3,5,3,5,4,1,5,2,3,2,2,2,1,3,5,6,2,2,6,4,5,4,6,3,5,4,0,2,2,2,1,1,5,0,0,6,4,3,0,6,6,6,4,5,4,3,5,2,3,1,5,5,1,3,4,2,4,0,3,2,4,4,4,4,3,3,1,3,1,1,5,2,5,3,2,1,5,5,7,5,8,3,4,2,2,4,2,5,4,6,2,2,3,2,4,2,3,6,3,3,2,5,2,3,4,1,2,3,3,3,4,1,4,5,2,4,3,4,2,3,5,3,1,1,3,2,0,5,5,1,2,2,5,1,2,1,3,3,5,2,8,6,1,4,4,5,1,5,4,4,5,4,1,3,4,4,3,6,4,2,3,5,3,2,2,0,1,3,1,0,1,1,1,1,2,0,2,2,1,1,0,2,1,2,4,2,5,1,4,1,2,6,3,3,1,0,3,3,8,2,5,6,5,4,2,4,6,6,4,5,1,3,4,2,2,2,2,0,4,1,3,2,3,1,3,0,1,1,8,1,2,4,2,0,2,1,2,4,3,1,2,2,5,3,1,4
3,7,1,2,1,6,3,0,5,4,2,4,4,1,4,4,3,3,3,3,4,4,3,4,2,2,4,4,3,3,2,3,4,5,5,0,1,2,2,6,2,4,4,7,2,2,3,4,1,2,7,1,2,6,6,0,1,4,6,2,1,2,1,4,2,2,2,4,1,1,2,3,6,5,2,4,2,3,2,4,4,2,3,4,3,2,7,4,0,3,3,3,5,2,2,2,0,1,2,5,5,4,5,4,1,3,4,1,7,2,2,1,3,3,6,3,1,2,3,1,0,5,1,3,2,5,3,3,4,4,3,3,2,5,4,4,4,4,2,4,1,2,2,2,6,4,5,2,5,4,9,3,2,2,1,2,4,9,1,2,4,3,7,6,1,2,3,2,1,4,4,4,2,2,4,2,2,0,0,0,0,1,1,1,0,1,0,5,2,1,1,1,1,2,4,0,4,3,3,2,2,0,7,4,5,1,4,3,1,1,0,5,1,2,4,4,3,6,1,2,4,4,0,2,5,3,7,2,2,1,4,4,4,2,8,1,4,4,1,4,2,4,2,0,2,3,3,3,1,4,1,2,4,1,3,4
1,1,2,3,5,3,1,1,6,3,4,4,0,3,1,4,8,3,10,1,3,1,2,3,1,5,4,2,6,3,5,2,4,6,7,4,6,4,1,1,3,5,7,1,2,2,2,8,2,4,1,5,2,0,2,2,4,2,2,4,3,3,4,4,1,3,6,4,3,3,2,3,6,3,5,3,5,4,2,0,7,4,3,1,6,2,3,4,3,0,4,7,2,3,3,1,2,4,2,3,2,2,2,6,4,2,7,4,2,1,2,4,2,4,3,2,4,4,3,3,4,3,4,5,3,2,1,4,0,6,3,3,3,2,3,6,4,3,2,2,3,5,3,0,3,6,0,3,5,2,3,4,6,4,4,6,3,4,2,2,1,5,4,3,2,1,7,2,5,2,2,2,4,4,1,1,1,2,1,0,0,1,1,0,0,0,3,2,0,2,2,3,2,1,1,0,2,1,1,3,2,1,2,3,2,3,2,3,3,5,3,2,2,3,4,4,5,5,1,4,3,3,4,2,1,2,7,7,6,1,5,5,5,3,1,6,3,1,5,1,2,1,5,1,0,4,4,1,7,4,3,4,3,5,3,3
4,1,3,1,1,2,0,1,4,0,2,2,3,6,2,0,5,3,1,2,3,3,4,1,2,3,3,2,3,4,0,8,2,3,5,7,3,5,3,2,1,3,1,5,0,5,2,3,12,7,3,2,1,2,8,5,3,4,1,1,3,6,2,5,1,1,5,3,4,4,2,2,1,3,2,4,2,2,0,2,1,2,4,8,1,3,4,2,2,10,4,4,4,2,4,2,5,3,1,4,1,1,0,3,5,6,4,5,0,4,6,5,4,3,3,3,2,0,5,2,3,7,4,6,2,2,2,3,4,5,4,4,3,6,2,6,1,4,4,4,2,0,1,3,2,3,1,4,3,2,4,2,2,5,2,2,3,3,1,3,1,2,2,3,4,1,6,5,3,6,4,3,4,1,1,1,2,1,2,0,0,0,0,0,1,1,1,0,1,1,0,1,2,3,0,0,3,0,2,1,3,3,2,2,2,2,3,2,4,4,1,1,0,3,4,2,4,4,7,1,1,3,6,1,1,3,2,5,5,2,3,3,0,2,5,3,7,6,1,4,2,2,3,4,3,7,3,4,1,1,5,2,1,0,4,5
5,6,4,6,3,5,1,4,1,0,2,4,2,1,3,6,2,2,5,7,6,1,2,3,3,3,0,1,4,1,5,4,10,4,4,2,2,8,3,1,3,1,2,2,1,2,1,1,5,3,3,4,1,4,3,3,3,3,4,2,4,4,3,4,1,3,1,7,3,3,2,2,3,4,2,4,4,3,4,3,0,3,4,2,1,3,3,0,10,3,4,4,2,3,6,5,7,5,4,5,2,3,1,0,3,2,3,2,1,4,3,5,4,4,4,3,5,0,3,3,3,6,1,5,1,3,2,5,6,4,4,2,4,4,3,3,1,5,1,1,2,4,4,6,3,2,1,6,3,5,5,7,2,1,3,2,4,5,2,8,5,3,7,6,4,3,2,7,1,6,4,1,3,3,2,0,0,0,0,0,1,0,0,0,2,1,1,1,2,1,1,0,5,2,1,3,2,2,1,1,5,1,4,4,3,1,2,1,1,3,0,1,3,6,2,4,5,6,2,7,5,3,2,2,2,5,3,4,4,4,2,2,2,3,4,2,0,5,3,1,2,1,3,3,1,3,3,3,1,2,3,5,2,1,4,3
3,0,3,1,6,0,2,2,1,3,5,1,3,4,2,4,4,3,5,3,3,0,6,2,0,3,3,3,4,5,5,2,2,5,2,2,2,2,2,3,1,3,4,4,7,4,4,1,3,2,2,4,4,1,8,3,4,3,1,5,4,8,1,3,1,5,2,5,5,3,2,1,1,1,1,4,3,5,3,3,1,4,1,4,2,4,3,4,6,6,5,4,6,3,6,0,2,4,7,1,3,5,2,3,1,2,2,2,7,2,4,3,5,4,5,4,6,4,3,3,5,4,3,0,3,0,4,3,5,7,5,4,6,7,3,4,5,1,4,2,2,1,3,6,6,2,3,8,5,4,5,2,3,4,4,8,2,0,4,3,3,2,1,5,2,1,3,2,2,0,3,3,3,2,2,1,0,0,1,0,0,2,0,1,1,0,0,2,1,0,0,4,1,2,1,1,2,1,3,1,0,0,4,3,3,3,5,5,4,3,3,2,1,1,1,0,2,5,2,2,1,6,4,1,4,1,3,4,1,2,2,3,7,3,1,1,2,3,1,7,4,4,3,4,4,2,1,3,3,8,4,5,4,4,1,3
2,3,3,3,4,2,2,5,0,3,1,4,2,6,1,0,1,5,2,4,4,6,2,4,3,3,0,6,6,5,2,1,3,3,0,2,0,4,2,5,3,2,2,5,1,5,6,0,4,2,3,3,4,1,4,2,4,1,4,2,2,2,3,2,3,6,2,2,4,4,3,4,3,3,1,1,5,4,3,4,8,5,3,3,1,3,0,5,2,4,2,3,4,0,5,1,3,4,3,5,3,5,3,4,2,2,1,4,4,4,4,1,6,3,3,4,2,1,6,4,5,3,5,6,4,6,3,2,2,4,2,2,4,5,2,1,3,5,3,5,1,3,2,2,2,5,1,0,5,1,0,8,3,3,3,2,5,1,1,6,3,1,2,3,2,4,4,4,1,2,1,2,2,1,1,0,0,0,0,0,0,0,0,0,1,2,0,0,2,0,0,0,2,2,1,1,3,0,1,1,3,1,2,3,3,3,3,3,6,1,2,4,2,7,1,4,5,3,3,0,4,3,3,2,4,2,2,4,2,3,2,0,3,4,2,2,3,0,5,2,3,4,3,2,5,3,3,4,4,5,3,2,3,2,3,2
1,6,5,2,2,3,3,4,2,1,6,3,1,5,4,1,6,1,8,4,4,5,0,0,3,4,4,3,5,5,3,3,0,2,0,0,1,2,4,5,1,0,1,4,2,2,7,3,5,4,4,4,2,1,5,0,6,5,1,2,4,1,2,2,2,1,2,9,1,0,3,3,3,2,0,3,4,3,4,6,1,4,2,6,4,4,6,4,6,2,4,2,5,2,2,1,6,0,2,0,4,4,2,5,5,2,2,3,3,5,1,5,4,4,0,3,4,1,6,3,1,5,2,3,4,4,1,4,3,1,4,1,1,5,4,1,1,4,4,2,3,5,5,5,6,5,4,3,4,3,1,2,5,4,1,2,3,3,2,5,2,4,2,5,2,1,3,3,1,0,4,5,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,4,2,1,0,0,1,2,2,1,0,1,1,2,2,4,2,3,0,4,2,1,3,0,7,0,6,6,3,1,1,3,5,3,2,0,3,5,2,1,3,5,7,3,5,2,2,6,2,1,0,1,2,0,3,3,2,0,6,4,3,9,5,3,3,6,3,3,5
4,2,6,4,2,2,3,4,3,3,7,4,6,2,4,3,3,2,4,5,7,1,3,3,2,4,3,4,3,3,1,2,4,5,2,3,1,4,8,1,2,5,3,4,2,3,2,2,4,4,5,3,4,6,5,3,5,4,4,2,5,5,2,5,5,4,5,5,5,3,2,1,4,2,6,1,1,5,1,2,1,2,3,4,4,4,3,3,2,3,5,1,2,8,3,4,3,4,5,4,3,2,2,5,4,2,3,2,3,4,7,2,3,1,3,2,6,3,1,1,1,4,2,1,3,9,3,3,4,1,6,1,2,3,6,3,3,4,1,4,2,2,4,5,6,5,3,5,4,1,3,3,6,0,2,7,2,7,3,8,3,9,4,3,3,2,1,0,1,3,2,4,1,1,1,1,0,0,1,0,0,0,1,1,1,1,0,0,0,1,0,2,2,0,4,2,1,0,5,3,0,4,1,4,3,3,2,2,5,3,2,1,2,6,0,3,3,1,3,3,5,3,4,2,3,2,3,2,1,4,6,2,4,2,5,2,2,4,6,4,3,2,4,5,0,5,5,4,1,4,2,1,1,6,0,3
1,3,6,3,3,3,0,3,3,2,3,4,5,2,4,3,3,2,1,8,2,4,4,3,1,3,6,7,2,2,4,1,3,1,3,3,3,3,7,2,5,1,4,0,6,3,1,6,1,5,5,3,3,2,3,3,4,4,3,1,3,6,4,2,0,3,5,2,3,3,2,2,2,6,6,5,3,5,3,2,5,5,4,7,4,3,3,3,4,1,2,2,4,6,5,5,6,0,3,1,3,4,4,5,3,2,5,3,3,3,3,6,1,1,3,3,2,5,1,0,3,5,2,5,3,4,4,2,2,3,4,3,3,3,4,4,6,2,3,3,1,3,5,6,2,3,3,4,4,2,4,3,0,3,1,5,2,3,2,1,5,3,4,1,4,5,2,4,2,4,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,0,0,2,1,4,2,0,2,2,1,2,2,3,2,4,6,1,1,1,1,5,3,4,4,5,0,2,5,2,4,2,3,5,3,4,1,1,6,1,1,4,1,4,3,1,4,5,4,5,5,4,4,6,4,2,3,2,3,2,3,3,6,2,2,3
3,5,2,0,6,5,1,4,4,2,3,5,3,2,1,2,0,4,5,3,3,2,1,2,4,4,5,3,3,5,5,0,2,1,4,11,2,0,0,4,2,3,4,1,4,8,6,3,6,4,9,3,2,4,1,2,7,2,1,2,3,0,4,1,4,3,6,2,6,1,2,3,1,1,4,3,4,4,4,2,5,2,2,4,2,5,2,4,5,4,2,3,3,2,2,4,4,3,7,3,1,8,6,1,4,3,4,1,0,2,2,6,0,5,2,7,4,3,4,1,2,0,2,6,2,2,2,4,4,2,4,5,4,5,0,3,4,1,1,0,3,4,3,3,5,2,0,4,3,4,2,3,1,6,2,2,2,5,3,2,1,7,2,3,3,5,4,2,3,0,3,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,2,0,1,2,2,3,1,1,1,3,2,1,0,1,0,2,3,0,1,1,4,3,0,7,3,1,2,0,6,0,3,6,2,4,1,2,1,4,4,1,2,1,4,4,2,4,2,4,3,5,2,7,1,3,1,2,1,1,3,7,3,3,3,6,6
5,5,1,4,3,5,2,3,4,4,2,4,5,0,2,1,1,2,1,5,1,4,3,4,3,1,6,6,3,2,3,1,0,3,2,2,5,1,2,3,1,2,1,3,3,5,2,4,3,3,5,4,3,7,5,3,2,9,2,3,3,1,5,2,3,5,3,4,2,4,2,7,3,8,2,2,0,5,1,4,1,2,1,4,2,4,3,7,4,2,2,4,1,4,4,6,1,5,4,6,7,3,5,5,7,2,7,3,4,0,5,3,3,5,3,2,6,2,3,4,1,4,5,1,4,1,3,5,4,2,5,5,3,1,1,4,6,2,5,2,3,3,3,8,6,3,5,3,4,5,4,1,7,3,4,2,3,2,3,4,4,2,2,2,7,1,1,3,2,1,1,2,1,0,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,1,0,1,0,1,1,0,3,0,0,3,0,1,3,1,1,2,5,1,3,1,1,2,2,5,5,0,3,5,3,4,3,1,0,4,2,6,3,4,0,5,1,5,4,4,1,5,5,3,5,3,3,0,1,2,7,2,3,3,3,5,8,6,5,2,1,1
9,3,5,1,2,2,2,3,4,2,4,2,2,2,3,5,3,4,4,1,1,5,5,0,1,5,3,3,3,3,3,3,6,5,5,4,1,2,6,2,3,3,5,3,3,4,4,5,3,4,2,4,0,2,4,5,1,4,7,4,3,3,3,1,9,4,3,6,5,1,2,3,0,1,3,7,3,3,3,1,7,1,2,3,2,3,3,3,5,5,2,3,3,4,3,2,2,3,3,1,6,6,2,3,3,2,4,4,9,3,3,2,4,7,3,3,3,3,2,4,3,5,4,3,2,5,4,3,3,2,6,2,3,2,6,6,4,3,2,3,3,5,4,5,2,2,5,3,0,1,4,2,3,2,3,4,3,3,4,5,2,5,2,4,4,2,1,2,2,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,3,0,1,0,0,1,0,1,0,2,1,4,2,4,2,4,3,2,2,2,1,1,5,5,2,3,3,4,1,2,0,4,4,4,5,4,4,5,5,3,1,6,5,1,4,7,4,2,3,2,2,2,6,1,5,0,5,2,3,4,4,5,3,3,1,4,3
3,3,3,3,3,2,3,7,6,1,2,1,5,7,2,3,4,4,3,2,3,3,1,3,3,1,1,1,4,5,5,4,2,5,2,0,2,4,1,4,4,5,2,0,0,1,5,4,7,1,3,1,2,4,4,2,9,3,5,4,3,3,2,2,5,2,5,2,2,4,5,4,7,3,3,4,3,3,1,4,5,2,4,1,4,3,3,3,4,2,6,3,2,3,2,1,4,7,2,6,4,3,6,6,3,3,3,2,5,2,5,3,7,2,3,4,3,6,7,4,3,4,2,2,4,4,7,4,1,4,1,3,2,2,3,3,5,1,1,2,5,4,4,6,8,2,1,7,3,2,0,6,1,2,6,4,5,3,1,4,2,4,1,3,3,3,4,2,2,2,1,1,0,1,2,0,1,1,0,0,0,0,2,1,0,0,0,0,1,2,0,2,1,0,2,3,4,1,5,3,1,1,2,2,1,2,1,4,3,2,2,4,3,3,5,2,3,3,2,1,3,1,3,6,2,4,6,4,1,3,3,4,5,2,3,2,1,1,3,2,5,3,3,5,2,2,2,4,1,2,5,0,1,3,3,4
5,7,0,6,6,4,4,0,1,4,2,2,4,8,1,2,2,3,5,2,2,1,4,0,8,6,6,2,4,2,5,6,4,7,2,4,1,4,3,5,3,4,5,1,2,0,2,2,5,2,4,5,3,4,4,5,4,3,6,1,3,4,3,3,6,2,5,1,3,3,2,4,5,4,2,5,2,3,2,3,2,3,1,2,3,3,5,2,3,4,1,3,2,3,2,4,8,1,2,7,2,1,5,0,4,0,1,2,0,8,5,4,3,3,6,5,0,8,2,2,4,2,4,4,0,3,2,3,1,3,2,3,2,2,5,4,3,3,1,1,2,3,5,3,1,8,5,6,2,2,6,1,2,1,1,4,5,1,3,5,5,4,3,4,2,2,1,2,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,1,0,4,2,2,2,0,0,0,1,3,4,0,1,3,0,0,2,3,6,4,2,1,2,5,1,2,1,3,4,2,0,6,3,3,2,1,2,3,2,2,3,3,5,2,3,1,4,6,4,2,5,3,4,3,4,2,8,2,2,2,6,2,4,4,2,1,0,6,9,4
6,4,4,5,2,1,2,4,7,3,2,3,6,4,4,0,6,2,2,3,8,2,3,3,2,2,5,3,3,5,5,5,2,1,1,1,5,1,3,5,2,2,2,0,1,2,3,4,4,2,5,2,6,4,3,5,4,4,1,2,4,2,4,3,3,1,5,4,4,1,5,4,2,5,2,1,0,4,6,2,2,5,6,4,2,3,3,3,6,1,4,2,9,2,4,4,2,2,0,0,6,1,4,2,6,4,5,5,0,4,3,5,5,4,3,3,2,2,2,4,2,3,6,3,8,6,3,2,1,9,2,1,5,3,2,4,3,5,4,5,3,2,1,4,4,0,2,3,3,6,3,1,3,0,3,3,2,4,3,4,4,4,2,6,2,8,0,2,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,3,2,2,3,2,4,0,4,1,0,4,5,4,2,3,4,2,2,1,0,1,2,7,8,4,1,3,3,5,4,5,3,5,3,3,2,6,4,4,3,3,5,2,2,6,2,4,6,4,2,1,4,2,1,3,4,4,5,2,4
3,2,4,4,1,6,2,1,2,8,4,4,1,4,2,0,2,4,3,4,4,2,4,3,1,2,2,4,4,5,5,4,4,6,5,6,3,6,4,3,1,1,6,0,4,3,4,4,4,2,2,1,3,2,4,2,4,5,4,5,5,5,4,4,3,7,3,5,4,4,3,3,7,0,3,4,2,1,6,4,4,4,1,4,4,2,3,5,2,3,2,4,1,2,2,4,1,3,5,1,6,4,5,2,5,4,5,1,3,1,2,1,5,0,2,4,3,5,0,5,4,4,6,5,2,2,5,1,7,1,3,0,5,1,3,3,5,6,5,3,4,4,3,8,3,1,2,5,4,2,4,3,2,2,3,1,5,3,2,1,3,6,3,2,3,2,3,1,2,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,1,1,0,0,2,1,0,0,3,4,3,0,4,2,6,2,1,2,2,1,2,2,9,2,1,2,4,4,2,4,4,3,3,5,6,2,5,7,5,1,2,3,4,3,4,6,0,1,1,4,1,2,1,5,2,4,3,1,6,2,2,3,3
2,2,3,6,4,0,2,3,7,5,2,0,2,2,1,3,3,2,0,4,2,5,2,4,1,4,2,4,2,3,1,3,4,5,6,2,3,2,3,4,0,3,2,3,2,4,5,4,2,4,3,5,6,3,4,1,1,2,2,2,3,2,5,6,3,2,2,2,2,2,1,4,3,4,2,4,4,4,2,3,0,6,3,0,2,0,3,3,3,4,3,5,5,2,2,2,4,3,3,2,3,5,4,5,3,2,1,2,1,7,1,3,6,2,6,6,6,3,3,4,4,3,1,3,6,4,1,3,2,2,4,1,0,4,2,4,3,7,0,4,3,3,1,6,4,2,2,1,7,2,5,4,2,3,1,4,3,3,6,2,3,2,2,4,2,2,2,0,5,2,0,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,0,0,3,0,2,0,1,2,1,0,3,0,2,3,0,3,2,1,2,0,2,4,2,2,3,2,3,2,2,3,5,1,0,6,5,3,3,2,3,2,4,6,3,3,6,4,1,2,3,3,2,5,4,3,2,5,4,1,4,4,5,1,1,1,2,4
2,7,4,3,5,1,4,5,1,5,4,4,6,0,2,2,4,3,1,4,1,2,0,3,4,7,4,5,5,3,1,3,3,4,0,2,4,1,2,6,3,6,5,2,3,3,1,4,5,3,2,5,2,4,3,2,3,2,3,1,1,3,8,1,1,2,3,2,0,1,3,2,4,2,6,7,4,2,1,5,4,1,4,6,5,5,2,1,2,5,5,7,3,4,3,4,4,6,2,2,3,4,3,2,1,4,5,2,6,1,3,3,2,1,5,5,1,1,6,4,2,5,1,4,4,4,2,4,5,3,7,3,2,4,4,2,2,3,3,7,2,1,4,5,3,3,8,1,2,2,5,6,2,3,3,2,4,4,0,2,3,2,2,3,5,4,1,2,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,1,2,1,2,3,2,1,2,0,4,1,1,0,3,4,1,2,1,1,1,4,2,6,5,3,2,1,1,1,3,4,2,3,3,4,4,4,8,5,2,2,6,3,6,2,3,5,3,0,2,2,1,1
5,3,2,4,5,5,4,2,4,4,1,4,0,3,1,2,4,4,3,2,4,3,4,3,3,5,0,2,4,2,3,4,3,1,5,1,2,4,3,3,2,1,4,6,4,1,2,2,2,0,3,2,4,4,3,3,3,1,5,2,5,3,6,2,3,2,2,5,3,8,3,2,2,5,3,2,3,3,4,6,6,3,0,5,5,3,4,2,2,4,3,7,2,6,4,5,4,1,2,5,1,3,2,2,5,4,6,5,8,2,0,2,4,4,6,6,4,7,2,1,2,2,4,4,1,5,3,3,1,3,3,6,1,4,3,6,6,1,3,3,4,6,3,8,5,1,2,4,2,3,7,4,3,2,2,1,0,2,2,5,5,6,2,4,4,5,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,4,0,5,2,1,1,2,3,2,0,2,4,3,4,0,6,0,5,1,5,4,3,2,4,2,5,3,4,3,3,1,5,4,2,4,2,2,1,3,7,2,2,4,6,2,4,4,5,4,6,3,4,1,2,6,4
6,4,1,3,1,6,3,5,6,3,3,1,5,3,2,4,2,3,5,3,5,4,3,1,4,6,3,0,2,2,1,3,1,2,3,5,1,1,1,4,5,1,2,10,2,1,5,5,1,4,4,7,4,2,3,4,3,4,1,2,0,7,5,2,0,4,0,2,4,1,2,3,8,4,2,6,3,5,5,2,6,3,6,4,3,1,5,3,4,5,6,4,2,1,1,4,5,3,2,5,4,5,3,5,2,4,4,5,1,4,1,6,1,3,4,3,2,4,1,6,3,3,3,2,2,3,1,1,5,3,3,3,2,3,3,4,0,4,3,3,2,2,4,1,2,3,5,1,1,3,3,4,3,4,3,10,2,7,4,1,2,6,6,1,2,2,1,3,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,1,2,0,1,0,0,0,1,1,3,4,0,1,2,2,2,2,3,3,1,3,1,1,3,2,2,3,2,5,4,1,2,4,2,4,4,7,1,1,2,2,3,5,3,1,1,2,3,4,3,5,3,0,3,2,0,1,8,6,3,5,1,3,1,3,0
2,1,3,6,3,2,6,9,3,2,2,0,5,3,3,4,4,4,2,5,1,3,4,3,3,7,4,3,4,2,0,2,3,3,1,4,3,5,2,6,5,5,1,2,5,3,3,4,2,3,2,6,3,2,2,3,2,2,5,1,5,1,4,0,1,1,1,3,5,6,4,3,0,1,5,5,1,2,2,4,3,2,3,3,2,7,4,7,2,3,5,5,0,2,6,4,1,6,2,3,4,1,3,4,1,4,2,3,3,3,3,3,3,3,2,1,0,4,1,2,4,5,9,5,4,2,5,1,5,0,4,4,6,2,5,2,9,7,3,4,3,4,3,5,4,5,2,1,4,0,4,7,4,4,2,2,2,5,3,3,5,3,4,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,0,1,0,0,0,0,1,0,0,1,1,1,2,0,2,1,3,1,1,1,3,1,4,2,2,1,4,1,5,6,3,5,2,7,1,2,2,2,2,5,2,3,6,1,1,6,0,1,10,5,2,8,4,2,2,1,3,4,1,4,4,5,3,3,2,4,3,3,1,5
3,3,4,2,2,4,2,4,4,4,0,5,1,4,4,5,2,3,0,3,2,2,4,3,4,2,2,3,8,1,3,2,3,2,3,4,4,4,4,3,4,1,0,5,5,1,4,3,2,3,2,3,8,0,3,4,3,4,2,1,3,4,3,1,5,4,4,5,6,3,5,2,0,3,0,2,4,4,4,2,4,2,4,1,3,1,5,1,1,4,2,1,2,7,1,3,1,3,4,2,2,2,3,2,0,3,3,3,5,3,2,3,3,2,2,3,3,0,5,2,2,3,1,6,4,1,1,2,4,2,3,4,2,6,4,3,3,6,6,4,2,2,4,2,2,4,2,4,3,6,3,5,3,5,2,1,2,2,3,2,2,6,1,1,1,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,2,1,0,1,0,0,1,0,0,2,2,2,0,0,1,1,2,3,1,3,1,5,2,2,2,0,4,7,2,2,2,6,1,4,4,1,3,8,1,7,2,2,1,4,4,4,2,4,2,4,2,3,1,2,1,1,5,1,2,5,2,3
5,1,4,3,3,4,3,1,3,4,3,2,1,6,1,1,2,3,1,2,2,1,4,2,1,1,4,3,4,4,2,7,2,4,0,2,6,4,4,2,2,3,2,4,2,3,1,2,3,2,2,0,1,5,2,1,1,3,3,0,5,3,4,1,1,4,4,0,0,1,2,5,2,5,1,5,1,2,2,2,6,3,5,2,5,2,3,2,5,5,2,2,3,1,4,1,2,4,2,5,4,3,2,4,4,0,5,3,4,1,7,2,0,2,0,3,3,5,6,1,5,8,2,9,2,2,2,4,1,5,5,5,5,3,1,1,5,2,3,5,3,2,2,3,4,6,3,5,0,3,2,5,4,1,0,4,5,2,2,2,2,0,3,2,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,1,1,3,1,2,0,1,2,1,6,2,5,3,3,0,5,3,5,5,2,1,3,2,0,2,3,2,2,9,5,0,5,3,9,2,4,3,3,6,2,2,0,4,4,4,3,5,3,2,2,3,3,3,4,4,1,7,1
2,0,0,2,0,3,3,1,1,3,3,3,5,3,6,5,6,0,0,3,2,4,5,8,4,4,4,1,2,3,3,4,2,2,2,6,3,2,5,3,3,6,2,5,3,5,3,6,4,2,2,1,2,1,4,3,4,3,4,8,5,2,5,2,4,5,3,4,0,3,3,4,4,2,3,5,4,4,3,5,4,3,8,2,1,1,3,4,4,2,2,4,0,2,2,6,3,4,3,2,5,5,2,3,2,3,5,5,2,5,3,3,2,2,4,6,3,6,4,4,5,5,2,8,4,6,1,7,4,3,3,5,4,6,5,6,3,2,1,4,5,3,1,2,3,2,3,3,5,2,3,4,3,4,4,4,1,1,4,3,0,1,4,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,2,0,2,1,2,1,0,3,1,3,1,2,3,3,2,4,1,2,2,1,2,6,3,3,1,1,5,5,7,2,3,2,2,2,4,5,4,4,4,5,3,6,2,2,4,2,2,8,1,4,6,2,0,4,2,4,5,4,8,4,2
2,1,5,4,1,7,2,4,3,5,2,3,0,2,1,2,6,3,6,3,4,8,0,3,7,2,4,8,2,4,4,4,2,3,6,2,2,2,1,3,4,1,3,2,1,3,2,3,1,4,1,3,2,4,4,1,6,2,3,3,4,5,3,3,1,4,2,3,6,4,4,6,3,4,5,4,2,4,3,1,1,7,3,1,0,3,4,5,5,2,3,2,4,6,5,2,3,4,3,1,5,2,3,2,5,1,0,5,1,5,5,2,3,5,7,3,4,4,1,5,4,4,3,3,2,3,3,4,4,3,4,5,3,3,2,1,6,3,3,2,5,3,4,3,1,2,4,2,3,5,3,3,6,1,3,2,5,6,1,1,3,3,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,2,4,1,3,1,0,1,2,1,2,3,4,1,6,4,5,2,3,3,3,3,5,1,3,4,5,2,2,3,5,5,3,1,6,3,3,7,1,3,7,4,4,3,2,3,2,3,1,5,2,5,5,1,1,2
3,3,4,6,4,3,4,5,6,3,3,4,6,5,3,5,4,2,3,2,2,5,5,1,4,2,1,4,9,2,1,4,1,3,1,2,2,1,6,2,1,1,2,3,5,0,2,5,1,2,4,3,0,4,3,4,2,1,2,2,3,0,1,4,4,2,2,0,2,0,1,0,1,3,0,4,7,4,2,2,2,5,3,6,4,5,1,4,5,2,5,2,3,1,2,5,5,2,4,2,3,3,6,4,4,7,2,1,1,4,5,4,4,4,5,1,4,3,3,2,5,2,2,4,2,4,1,2,3,3,3,2,1,4,4,5,4,2,2,3,4,5,2,2,4,3,5,1,2,2,4,1,2,2,5,2,3,4,5,7,10,2,5,1,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,4,2,3,2,1,2,2,2,4,0,2,3,1,5,4,1,4,1,3,4,0,1,3,1,1,6,3,1,4,1,6,4,6,3,3,2,2,3,4,0,3,4,1,1,1,3,1,3,6,1,3,4
1,2,3,5,4,4,2,2,2,2,2,3,5,1,4,2,3,3,7,4,1,3,1,2,4,3,3,3,2,2,2,6,4,2,5,3,2,4,1,3,3,3,1,4,2,3,3,4,3,2,5,4,3,1,5,2,6,3,4,1,0,2,2,5,6,3,3,3,0,4,3,4,3,4,3,2,3,4,2,2,4,5,8,1,4,2,7,5,2,2,2,0,2,0,2,2,1,4,2,3,1,0,1,6,4,6,4,3,4,6,3,4,6,3,2,5,3,1,0,5,1,0,8,3,2,0,4,3,3,2,6,2,4,5,1,7,5,1,4,4,2,3,2,7,4,0,2,2,1,1,4,2,4,7,3,1,2,2,3,4,0,3,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,2,1,2,3,0,1,2,2,4,3,3,2,5,2,1,2,2,2,3,3,2,0,6,5,0,2,2,4,2,3,5,8,5,3,1,1,1,6,0,1,1,3,3,1,3,6,3,2,2,1,2,4,5,1
4,0,1,2,2,3,3,3,3,2,1,6,4,1,2,5,3,6,3,14,1,3,3,7,3,2,3,4,5,1,2,0,3,3,2,3,4,2,2,3,3,1,1,2,2,2,4,2,1,2,2,6,1,5,6,4,2,2,1,1,1,3,2,2,1,4,3,3,3,2,2,3,2,4,3,1,5,5,2,2,2,8,2,3,2,7,2,2,5,3,1,1,4,4,2,5,1,4,2,5,7,2,1,1,2,3,8,6,4,2,2,4,2,1,4,0,0,7,0,6,3,3,7,4,5,2,1,2,3,3,3,1,5,2,3,1,2,1,3,4,1,7,3,4,0,7,4,3,3,1,0,3,1,5,2,3,2,1,1,5,0,1,1,3,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,0,0,1,3,1,1,3,0,2,2,4,1,2,2,0,2,2,2,7,2,1,3,3,1,0,7,1,2,0,5,4,4,5,5,3,3,2,1,2,2,2,2,0,4,3,4,3,6,2,3,3,3,0,5,5,1,2,2,1,7,5
2,2,3,3,1,4,1,4,1,2,4,3,3,4,4,3,2,2,1,1,3,1,3,3,3,4,4,4,7,4,0,1,4,4,2,3,2,3,2,2,1,2,1,4,2,3,4,3,4,2,4,8,5,3,4,1,5,4,2,6,1,3,3,5,2,4,4,5,4,6,2,4,5,1,3,3,6,4,3,3,1,5,4,1,1,4,7,7,1,5,4,3,1,4,6,2,3,1,3,5,2,3,1,6,3,7,3,3,5,4,4,4,1,2,2,1,1,1,1,1,2,1,5,5,4,7,2,1,4,4,2,5,3,2,2,4,5,5,1,4,6,1,3,3,6,2,2,0,5,2,9,6,2,1,1,2,3,2,3,1,1,3,1,3,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,2,1,1,1,1,2,1,0,0,3,3,0,2,1,1,2,5,2,0,4,1,3,4,3,4,1,6,2,3,2,4,2,2,5,5,1,1,4,3,3,8,1,4,6,4,3,2,1,1,2,9,3,2,3,6,3,0,3,1,1
2,7,3,1,4,2,2,4,2,6,5,2,4,2,5,2,2,6,3,8,1,5,0,7,6,3,2,2,2,5,3,4,3,5,5,2,2,2,4,5,4,5,2,4,4,1,1,4,8,4,1,1,3,3,5,2,2,2,5,3,0,1,3,2,3,0,8,4,3,3,2,7,3,2,4,4,3,2,3,4,0,3,3,2,6,2,3,3,6,6,1,2,3,2,6,4,5,5,5,5,1,3,2,1,7,3,3,1,2,8,4,4,1,3,3,6,3,1,4,2,3,5,3,1,8,5,2,1,2,4,2,2,1,4,5,5,5,4,0,2,2,5,5,1,2,3,5,6,3,1,3,4,3,0,2,4,5,3,2,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,2,0,0,3,2,2,3,1,2,1,1,2,2,1,2,4,2,6,3,7,2,1,5,2,1,4,2,0,2,3,5,2,4,2,4,1,0,2,6,6,3,4,3,2,5,4,5,3,6,3,3,4,5
2,0,5,7,5,2,2,3,2,3,3,4,0,3,2,5,1,4,2,1,4,3,0,5,6,5,6,1,3,2,7,2,1,1,3,1,4,3,1,2,6,7,4,3,6,5,6,1,3,3,2,2,0,1,4,3,0,0,6,2,3,2,4,2,1,4,4,0,7,4,1,4,1,6,4,5,2,5,6,2,2,4,2,1,6,2,4,1,6,2,4,3,3,6,3,2,5,4,3,3,5,5,1,2,5,4,2,3,4,4,3,3,4,1,4,5,3,1,2,3,3,3,1,3,2,4,4,3,0,1,6,1,7,4,3,2,3,4,5,1,2,5,0,4,3,4,2,3,4,2,1,2,5,2,3,2,2,2,6,1,3,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,2,2,0,2,1,3,3,4,1,1,0,1,2,4,6,0,2,5,2,4,4,5,4,0,3,3,2,3,5,3,2,1,1,4,4,4,5,5,3,2,3,2,1,3,3,3,4,6,5,1,2
1,5,5,3,2,6,4,3,1,2,4,3,6,7,4,2,4,0,6,4,3,3,7,3,2,0,6,2,3,1,4,2,1,2,2,0,3,5,2,3,3,2,4,4,2,6,2,2,3,3,3,5,1,3,4,2,4,2,4,4,4,5,4,3,4,2,4,4,1,2,4,3,4,2,5,4,2,1,2,1,3,1,3,3,5,3,4,2,3,1,5,5,4,1,5,0,4,0,1,2,4,8,5,6,3,4,3,4,5,2,2,4,2,5,0,3,5,3,1,4,2,2,3,8,3,5,5,2,3,5,4,4,7,8,3,4,4,4,4,6,1,6,3,6,5,4,4,3,3,5,1,3,2,0,2,3,2,3,1,5,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,2,2,0,0,0,3,1,3,2,1,4,1,1,4,4,3,5,2,1,2,3,3,3,6,2,3,5,1,3,4,6,3,5,0,3,4,1,3,3,4,3,7,2,1,6,3,0,1,5,4,3,4,4,2,5,2,3,4
4,4,2,1,4,4,2,4,2,1,0,4,4,3,5,4,4,2,5,2,3,5,4,5,1,2,5,4,3,4,2,2,3,3,4,4,4,6,5,3,4,3,4,3,5,2,4,3,5,6,2,4,1,3,4,6,2,1,3,2,3,5,5,2,4,4,5,2,1,5,5,3,5,4,1,3,2,0,7,4,4,4,2,5,5,4,1,6,6,1,2,3,4,7,8,4,3,4,2,3,5,1,2,1,2,4,4,5,2,3,0,3,8,5,4,6,5,6,3,6,4,3,2,7,3,1,5,1,4,4,3,4,0,7,3,6,1,3,6,1,3,5,5,5,8,4,2,5,3,2,4,2,2,7,3,3,5,0,0,4,0,2,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,2,1,1,1,1,1,2,0,1,1,2,0,2,3,3,2,3,2,0,0,0,3,1,1,4,4,3,3,5,4,2,7,6,6,3,4,7,3,2,4,0,2,4,5,5,3,2,2,6,3,2,5,1,2,5,5,1
1,4,5,2,3,5,2,4,4,2,5,3,1,5,1,5,2,1,5,5,4,4,0,3,10,4,2,5,3,2,4,1,2,2,4,1,3,1,1,3,3,4,1,4,3,2,3,5,4,1,3,4,3,2,4,4,3,3,2,7,3,1,2,2,5,2,2,3,6,5,5,2,2,1,5,4,2,3,0,5,2,2,9,3,2,3,4,4,4,4,1,4,3,3,2,1,1,5,4,2,5,1,1,4,3,5,3,3,3,1,3,1,0,4,6,4,4,4,5,2,8,6,1,3,4,3,5,4,2,5,3,5,7,2,8,4,5,6,1,1,6,3,1,5,2,3,5,4,3,4,4,1,5,5,1,4,3,3,1,3,0,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,3,0,0,1,1,0,1,0,1,0,0,1,0,1,3,1,1,0,4,1,3,5,3,5,6,2,0,4,1,5,3,3,2,0,0,2,2,1,4,2,3,4,3,2,2,3,3,4,1,2,6,2,3,4,3,3,4,2,6,3,2,2
4,4,3,1,5,1,5,2,5,2,4,5,3,4,4,3,2,1,4,1,4,2,1,4,2,2,3,3,3,5,3,6,4,3,8,2,3,3,5,4,0,4,4,7,2,3,4,0,2,4,5,5,3,3,5,4,1,2,3,1,2,4,2,3,8,3,2,5,2,2,2,4,1,3,2,4,3,3,1,4,3,0,3,1,3,3,4,6,2,0,4,2,3,6,1,3,3,2,2,1,1,4,5,3,4,3,2,1,4,2,5,5,2,2,6,4,3,1,2,3,1,9,2,3,6,4,1,2,4,3,4,3,2,2,3,1,3,2,5,2,2,2,2,3,5,5,3,4,4,3,3,2,2,2,5,7,2,1,4,2,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,2,0,2,1,1,1,1,0,2,1,3,4,4,4,4,2,0,1,3,2,3,3,4,2,1,0,1,1,2,1,1,4,0,2,4,3,3,1,5,2,6,2,5,2,1,1,7,3,1,3,6,1,3,3,6,1,6
3,1,1,1,6,2,5,3,3,1,3,2,3,4,2,4,1,4,4,2,4,5,3,2,1,2,5,6,3,2,4,3,2,3,4,5,4,2,5,1,5,4,2,1,7,4,4,2,3,3,2,5,4,3,0,1,4,2,2,0,2,4,2,2,4,1,3,4,6,5,2,1,4,2,2,3,1,2,1,1,3,2,3,5,2,3,0,5,3,2,0,1,2,2,2,4,4,3,1,2,6,5,5,5,8,3,3,2,3,3,4,3,0,4,4,2,5,2,5,6,4,2,2,8,4,3,6,1,3,3,3,1,2,1,4,2,4,4,4,2,5,5,5,4,4,5,6,2,1,6,1,0,2,3,6,4,4,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,1,2,0,0,0,1,2,0,1,2,2,1,3,3,4,4,0,3,2,3,2,2,6,4,3,2,3,2,5,3,4,3,3,1,3,4,1,4,6,3,1,3,5,4,1,4,2,2,2,6,3,1,2
2,6,3,3,3,5,3,3,6,2,5,3,3,2,0,5,3,2,3,5,2,5,1,1,5,3,3,5,3,6,1,5,2,1,3,3,4,2,2,2,3,3,3,2,4,0,3,4,2,6,5,4,3,3,2,3,0,2,2,3,3,5,3,3,3,3,4,1,3,3,2,6,2,1,1,3,1,4,3,1,4,5,1,3,4,4,7,3,3,4,4,2,6,3,1,1,2,6,4,1,3,1,7,2,3,3,8,4,2,4,2,2,2,5,1,4,4,4,3,2,3,3,8,1,6,2,5,5,4,2,2,4,4,2,1,3,1,5,0,1,1,2,6,3,1,2,4,2,5,1,2,2,3,2,1,3,2,4,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,1,2,0,0,1,1,1,0,4,0,0,3,3,2,6,4,3,5,3,6,5,0,5,3,2,2,2,4,2,3,6,2,2,0,2,7,2,3,7,4,6,6,1,2,0,3,2,5,5,1,6,2
4,8,3,4,5,5,0,3,2,7,2,4,4,3,1,0,2,2,2,6,2,5,5,2,3,6,4,2,4,3,2,2,4,2,3,1,4,3,2,6,3,2,3,3,4,4,1,2,2,1,5,1,2,4,4,4,3,5,7,0,4,4,2,6,5,4,6,3,4,1,3,3,2,4,4,4,0,0,3,3,3,4,6,3,3,3,4,3,5,4,4,2,5,6,3,3,9,1,2,3,3,2,3,1,2,2,3,2,1,3,2,5,0,4,2,6,5,2,2,2,1,1,5,1,5,4,2,1,2,2,6,5,4,4,2,6,3,4,4,2,4,1,2,2,5,7,2,4,2,4,1,1,4,5,1,2,2,4,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,2,1,1,0,1,0,0,1,1,2,1,2,0,2,5,2,2,2,2,1,3,2,4,1,2,2,6,5,3,3,3,2,2,3,4,6,2,3,5,1,3,2,5,7,4,5,3,1,3,1,4,3,3,4
0,6,0,3,2,1,1,6,3,4,2,4,3,1,5,6,1,4,1,3,7,5,3,6,3,2,5,2,1,3,6,3,4,5,6,1,5,6,5,2,3,3,2,2,3,1,1,2,2,3,1,5,5,5,2,4,3,5,1,3,3,3,5,2,3,2,1,3,3,3,6,4,3,0,3,5,6,5,3,2,5,5,4,3,3,3,2,2,4,3,3,2,2,5,4,4,7,1,3,1,2,3,2,2,1,2,3,5,0,2,1,2,2,2,4,4,3,1,3,3,3,3,4,6,6,2,3,6,3,2,2,4,2,4,4,1,6,4,5,4,3,7,4,3,2,5,1,5,2,2,4,0,2,2,2,1,0,3,1,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,3,0,1,0,0,1,0,0,2,0,0,1,1,0,1,2,0,0,1,2,4,2,3,2,5,5,1,2,4,1,0,3,3,2,2,3,6,2,5,2,2,1,5,3,5,3,4,5,3,3,6,3,4,0,7,1,3,2,3,4
2,3,3,3,2,3,2,3,5,1,5,2,4,3,1,1,3,2,1,3,3,2,4,3,2,3,6,2,2,3,0,1,3,4,3,5,1,2,3,2,5,5,3,4,1,5,7,4,4,7,1,1,3,3,1,2,3,3,3,8,0,0,3,5,1,2,5,2,4,6,3,2,3,4,3,2,2,5,5,3,4,2,2,5,4,3,4,3,5,2,3,0,1,6,2,1,4,2,1,2,3,3,2,4,1,8,8,4,3,4,4,4,2,3,4,1,9,2,3,7,1,2,0,3,4,2,2,2,1,1,2,5,3,4,5,9,3,6,2,6,4,7,3,0,5,2,1,2,4,5,4,6,5,0,3,0,0,0,4,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,2,4,2,1,0,0,1,5,4,2,2,4,4,3,0,4,5,3,1,5,1,0,1,3,2,1,2,6,1,4,5,2,3,2,3,4,2,2,1,1,3,0,3
4,1,5,3,3,0,0,4,6,5,3,4,4,5,3,1,2,3,5,0,3,1,2,5,1,4,4,6,2,2,3,3,4,6,3,0,1,2,3,1,2,3,0,1,3,7,2,5,5,2,7,6,5,3,4,7,4,4,3,0,9,1,2,7,1,4,4,4,5,2,6,5,1,3,1,2,4,7,2,1,3,5,4,5,3,3,7,3,3,1,1,3,2,3,4,4,1,4,5,4,2,4,2,5,3,1,7,4,3,4,3,2,2,2,4,6,3,3,3,5,1,1,0,1,3,3,6,2,2,5,2,5,2,3,1,3,2,1,4,1,2,5,2,4,0,3,6,0,1,4,5,2,3,2,1,1,4,3,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,2,1,0,0,4,1,1,2,1,1,0,2,4,5,1,0,2,2,2,0,1,3,2,4,4,2,2,2,7,3,1,6,1,3,3,4,4,3,5,2,4,4,2,4,3,1,2,2,2,4,4
3,2,1,2,1,4,1,6,5,5,1,1,5,4,2,5,3,2,1,3,7,1,2,3,7,2,4,4,3,1,2,1,0,1,0,4,3,4,4,4,2,5,2,2,2,4,2,0,1,5,2,1,3,3,0,2,0,6,6,1,4,1,3,3,1,3,9,2,5,2,5,2,3,5,2,5,2,2,6,5,0,4,3,1,4,4,3,9,4,2,2,2,6,1,5,2,0,1,3,3,5,5,2,6,8,3,5,3,2,4,5,4,3,6,3,3,5,7,7,2,1,2,3,5,0,4,4,5,5,1,5,4,4,2,2,4,7,4,5,5,2,1,2,3,1,4,0,7,4,4,2,2,4,2,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0,0,2,0,0,0,0,2,1,1,1,3,1,3,2,3,3,0,4,5,1,2,2,2,5,1,2,1,3,8,1,3,1,2,3,2,7,5,1,5,3,6,2,1,8,6,2,1,5,3
1,3,1,4,2,3,3,2,6,3,1,1,6,4,4,2,4,1,3,2,5,3,2,3,2,1,1,3,4,1,0,1,6,4,2,2,5,2,4,4,2,6,4,4,5,2,5,3,2,1,3,7,8,1,2,5,3,4,3,3,2,2,3,3,5,5,5,4,2,6,2,1,1,1,3,2,1,5,2,2,2,4,2,3,5,1,3,3,2,3,5,3,4,3,3,2,0,2,3,2,2,1,6,4,4,3,4,0,3,3,3,5,4,2,2,4,3,2,6,2,1,1,4,4,6,7,5,4,2,4,7,3,2,3,4,3,3,5,2,1,5,2,4,3,8,1,2,1,2,4,2,1,4,2,2,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,2,0,0,0,2,3,3,1,1,2,1,2,0,2,4,3,1,1,0,1,1,3,3,2,1,3,3,4,0,2,4,4,4,5,4,5,2,2,4,5,3,5,6,1,5,7,0
4,5,4,4,5,2,4,2,5,4,1,3,4,2,5,0,2,5,5,2,4,3,2,1,5,2,5,5,3,3,1,3,2,5,4,1,3,4,6,2,3,3,3,6,5,2,4,1,2,5,1,3,0,5,3,3,4,3,5,4,4,3,1,1,4,5,6,2,2,2,4,0,1,7,7,5,6,3,6,5,2,1,4,3,5,2,1,2,4,6,1,5,2,1,4,2,3,3,0,4,5,2,6,5,5,4,3,4,7,3,3,2,2,6,2,3,1,4,3,3,3,6,1,7,5,0,2,2,2,1,2,3,5,3,5,4,3,3,3,5,3,3,1,6,6,4,8,3,4,0,2,2,2,2,0,2,2,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,2,1,1,0,1,1,1,3,2,0,1,0,3,1,2,1,0,1,1,3,3,2,4,0,2,4,5,1,2,3,6,1,3,4,3,6,4,6,2,4,3,5,1,8,2,4,3,3,1,3
0,4,7,9,6,1,6,2,2,7,2,3,0,3,4,2,2,3,5,3,0,4,2,6,1,5,4,4,2,4,1,0,4,3,5,2,4,5,2,1,2,1,2,2,3,2,2,2,2,6,4,0,1,0,5,3,3,4,4,0,1,3,2,3,3,2,7,2,3,2,3,0,4,7,5,2,3,2,5,5,3,2,5,3,5,5,5,8,3,5,3,2,5,7,4,6,4,6,3,8,4,4,2,1,3,5,6,2,1,3,1,3,3,5,6,4,3,3,4,6,4,1,4,3,2,5,3,1,4,4,4,0,1,2,1,1,5,4,5,2,2,6,2,2,0,2,6,5,2,4,5,2,2,2,3,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,2,1,3,1,2,4,1,2,1,3,1,4,0,3,2,2,3,4,3,2,4,2,6,4,4,2,4,2,3,7,1,2,5,2,2,4,5,3,2,3,4,7
5,3,5,2,3,3,5,3,4,1,5,5,1,2,1,5,5,2,1,6,5,3,1,2,3,7,2,2,4,1,3,3,2,4,4,2,4,1,2,2,1,2,4,6,2,3,2,5,5,5,2,3,3,3,4,4,2,4,2,2,0,5,3,2,4,5,2,3,3,2,2,2,0,3,3,2,3,2,4,3,2,5,3,4,2,3,2,3,6,1,4,4,4,3,3,2,6,7,7,2,5,11,2,1,5,2,3,3,4,1,1,2,0,0,4,4,2,7,2,5,3,2,3,2,1,3,5,7,4,4,3,1,2,6,3,3,3,2,2,1,4,3,2,2,4,1,3,7,3,4,2,1,0,1,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,3,0,0,1,0,0,0,1,2,1,0,3,0,6,2,0,1,2,0,0,2,0,0,4,1,1,1,4,3,0,4,5,5,2,2,0,5,5,2,3,2,3,6,2,6,1,2,1,2,0,6,3,2,0,9
2,5,5,2,6,3,2,2,3,5,3,4,4,3,5,2,2,4,6,3,5,1,3,3,5,2,1,5,2,4,4,0,1,2,6,2,2,2,4,3,6,4,4,1,5,2,5,1,6,4,0,2,3,4,4,1,2,6,1,1,5,3,4,4,2,3,6,5,3,1,6,4,3,3,3,5,1,2,2,2,5,5,2,3,6,5,3,4,4,1,2,2,3,4,4,3,3,1,0,0,7,8,5,1,2,2,2,6,5,4,2,2,1,2,9,6,2,3,4,1,1,2,3,4,4,8,1,3,2,0,5,4,2,4,3,2,2,1,3,0,2,0,3,2,2,4,6,8,4,2,1,2,1,1,3,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,2,0,0,1,1,0,1,1,1,0,1,0,0,1,1,2,1,2,1,1,0,1,1,0,1,2,2,4,0,2,3,4,4,2,3,4,3,0,1,4,2,4,5,5,4,5,4,0,3,4,0,7,4,6,5,2,4,5
0,1,3,4,3,2,3,4,4,3,6,1,1,7,4,1,1,5,0,4,2,4,5,4,2,3,3,2,1,2,6,3,4,4,5,3,5,4,0,0,2,6,0,2,1,1,3,1,2,3,6,3,0,1,6,5,4,4,10,3,3,3,8,3,3,1,3,2,1,3,1,6,6,1,2,1,1,1,4,2,2,1,3,1,1,2,2,5,3,2,5,6,1,4,5,3,3,5,4,2,5,7,5,2,2,6,6,6,5,3,3,6,3,0,1,1,1,0,5,0,2,4,2,2,3,3,6,4,6,3,4,1,4,2,0,3,2,2,2,0,2,2,6,3,4,2,2,1,3,5,3,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,2,0,0,3,2,1,1,4,1,3,3,0,3,3,2,1,3,2,3,3,2,5,1,2,3,9,3,4,4,3,2,3,0,5,1,3,4,2,4,2,3
3,6,8,2,3,2,3,2,3,1,6,5,5,4,3,2,0,2,1,2,0,5,5,3,2,1,3,4,6,4,2,1,8,4,1,3,0,6,2,6,2,4,0,3,3,2,3,5,1,4,0,3,4,2,2,3,2,4,2,3,4,4,3,3,6,3,6,7,4,2,2,3,6,2,2,3,1,7,3,4,8,2,2,4,4,3,1,6,3,0,6,2,5,2,1,3,1,4,2,8,6,3,6,5,6,2,4,3,4,1,5,2,2,6,7,2,0,7,4,6,4,4,3,2,4,4,1,4,4,5,4,3,5,2,5,7,0,2,3,5,6,6,6,4,4,4,3,6,2,4,4,1,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,1,0,2,0,1,0,1,3,0,0,2,2,6,3,3,3,1,1,1,6,2,3,6,1,5,2,3,3,5,1,3,4,4,1,6,6,4,2,3,1,2,1,4
1,1,5,4,5,4,5,4,3,1,2,3,5,2,4,1,2,3,1,4,2,4,7,5,5,2,2,5,2,7,3,6,5,1,1,2,3,0,3,3,3,2,1,2,4,2,5,4,2,2,4,3,3,3,1,3,1,2,3,3,1,6,2,5,3,7,2,0,2,3,2,2,2,1,2,5,4,2,5,4,0,4,3,4,2,4,0,7,5,4,4,5,0,5,4,3,3,2,2,7,3,5,3,7,0,5,5,5,1,7,4,7,3,4,2,1,6,5,5,3,6,3,3,1,3,1,3,3,2,2,4,6,4,4,6,2,4,5,2,0,4,1,3,2,4,0,2,3,1,2,2,1,1,4,3,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,2,2,0,2,4,2,3,5,3,3,2,1,6,3,5,6,2,7,2,2,2,3,3,3,2,4,3,3,2,3,4,5,2,2,1,6,2,1,2,2
5,2,2,1,1,3,1,3,1,3,5,3,4,1,4,3,0,2,2,1,4,5,2,5,4,1,3,4,3,3,3,2,4,2,3,2,7,3,3,3,2,3,2,3,2,4,3,7,7,5,3,6,5,3,2,3,2,2,5,4,2,4,0,2,3,2,4,4,2,4,2,0,4,2,4,3,3,2,3,6,4,3,4,4,0,2,3,4,4,3,2,5,6,1,0,1,4,3,3,2,3,0,8,6,5,2,6,4,4,3,4,1,5,4,3,2,5,3,3,2,2,4,8,4,1,5,5,3,3,2,5,3,4,3,2,2,3,2,5,3,2,4,3,3,2,4,2,2,5,5,4,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,1,0,1,1,1,0,1,1,1,0,0,1,1,0,3,0,4,0,3,0,1,2,2,3,3,1,1,0,5,4,3,1,2,2,2,3,1,2,2,4,2,4,2,1,4,3,3,6,2
3,5,4,2,2,4,2,2,4,1,3,4,3,3,3,5,0,4,4,1,2,4,1,4,3,2,4,7,4,4,5,3,3,2,7,2,8,2,5,1,3,3,7,2,3,2,2,4,9,1,2,0,4,6,3,7,2,2,0,4,4,4,5,6,6,4,4,2,2,2,1,4,3,3,1,3,5,3,4,1,3,2,4,2,5,3,3,3,4,3,3,5,2,2,4,3,2,1,3,1,1,2,1,5,2,2,4,6,2,0,2,2,3,1,4,5,6,1,0,5,3,2,1,8,4,2,6,3,3,7,1,1,2,2,2,2,7,5,1,5,6,3,2,1,8,2,5,5,5,2,1,3,2,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,2,0,0,1,3,0,1,0,2,1,2,3,3,0,0,3,2,1,1,1,1,2,1,2,2,2,4,2,4,3,1,3,4,3,2,3,4,4,5,5,4,3,4,5,8,4,5,7
5,4,4,5,5,5,2,6,4,2,3,4,2,3,7,4,2,3,3,3,0,6,3,2,4,2,1,5,3,2,2,2,1,4,1,0,2,0,5,5,5,0,3,5,2,2,2,1,1,2,0,2,1,1,1,2,1,3,5,3,5,4,7,1,3,3,3,3,3,3,1,2,3,8,7,2,2,0,3,5,5,2,2,0,3,0,3,9,5,3,3,3,4,3,3,3,2,5,4,2,3,3,0,2,6,5,5,6,1,4,5,4,2,6,1,4,6,5,3,4,1,2,3,7,6,0,6,3,3,0,1,5,1,4,3,3,4,7,2,2,1,5,3,3,3,4,2,3,1,2,4,4,3,2,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,3,2,2,3,5,1,1,0,3,1,2,4,3,3,4,4,1,1,3,3,3,6,8,1,4,3,5,4,1,4,5,2,3,5,3
4,1,3,6,2,4,0,4,2,5,3,5,3,1,3,7,2,2,6,3,3,1,2,3,6,2,5,3,1,6,2,4,3,1,6,3,2,4,0,4,3,0,3,3,11,6,1,6,3,2,2,1,5,4,4,5,1,3,2,0,5,1,3,4,7,2,4,5,5,0,6,0,4,1,2,5,4,3,3,4,3,3,2,1,6,4,3,3,2,1,4,1,3,2,6,3,3,7,2,5,5,3,2,2,2,3,4,4,2,6,3,2,1,4,2,3,3,3,4,3,3,2,4,6,3,6,4,5,4,3,2,3,3,4,2,5,5,1,1,1,0,6,3,3,2,2,1,7,3,4,1,2,3,1,3,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,2,1,1,2,0,0,0,0,0,2,0,2,0,0,0,1,2,1,3,3,3,3,3,3,1,4,5,5,2,1,5,2,3,1,3,2,5,6,4,6,4,2,1,2,2,2,3,3,1
2,3,2,1,1,2,3,1,4,4,4,5,6,3,2,4,5,3,1,5,3,2,2,3,4,4,3,4,1,6,2,4,1,1,2,1,4,2,4,5,4,2,10,4,6,2,3,2,5,4,2,2,2,3,2,0,1,0,2,2,3,3,3,5,4,7,0,4,2,1,2,3,2,2,3,2,0,6,4,3,4,1,6,1,1,4,2,1,2,3,4,3,7,2,1,4,3,4,5,4,1,3,2,4,2,2,3,2,3,8,5,3,4,6,5,3,1,1,1,1,1,2,1,4,8,4,4,9,4,4,4,1,3,4,6,2,7,1,4,4,3,4,5,6,3,4,7,2,2,5,2,4,3,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,2,0,0,0,4,1,1,0,2,0,4,1,0,2,4,2,0,2,3,1,2,3,5,3,1,4,5,3,1,2,4,9,6,0,6,2
5,1,3,2,2,1,3,3,5,3,9,3,3,3,3,5,3,4,2,3,2,4,3,2,1,3,2,3,3,1,1,6,0,3,2,3,1,4,1,4,9,1,3,1,3,3,2,2,5,5,5,2,4,1,2,1,3,3,1,2,5,1,4,6,3,5,5,5,4,5,3,3,2,7,1,5,3,1,3,0,2,7,3,2,2,5,3,4,2,2,2,5,3,5,6,4,7,1,1,2,4,4,3,2,4,3,3,2,5,3,1,2,6,4,0,5,0,5,2,5,6,4,1,3,3,3,4,1,5,5,7,2,5,2,4,3,2,4,1,5,1,6,2,2,4,2,2,3,2,2,4,4,4,1,1,1,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,4,1,2,0,1,3,1,4,3,6,3,3,2,3,2,4,4,5,7,2,5,3,1,4,2,3,2,1,0,6,3,4,7,3,6,1,1,1
2,4,3,8,2,5,2,2,6,0,5,3,5,3,1,4,1,4,2,1,3,3,1,2,5,5,2,0,3,2,3,4,3,2,2,1,5,1,2,3,2,3,3,8,5,1,2,4,5,1,3,3,3,1,4,0,4,3,3,2,2,5,1,7,5,1,3,1,4,3,2,5,3,2,4,3,3,4,3,3,2,2,3,4,4,5,6,2,1,2,5,3,2,1,1,5,2,0,1,1,2,2,3,5,5,4,7,2,3,3,2,4,5,4,3,5,3,3,3,4,5,5,2,2,4,2,0,5,3,2,4,2,2,10,9,3,0,3,4,3,4,2,3,3,3,4,3,2,4,3,1,3,3,0,4,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,3,0,0,1,1,0,0,3,2,3,0,2,3,2,1,0,7,0,5,5,5,5,3,0,2,1,5,4,2,3,3,5,3,3,5,6,2,3,9
2,1,2,5,0,3,2,2,4,1,2,7,1,1,3,3,4,4,3,4,5,7,3,3,4,5,2,1,4,3,5,3,4,2,2,4,3,5,3,2,3,7,3,2,1,2,3,2,3,1,7,2,1,2,2,2,1,2,1,6,4,5,3,2,5,3,4,3,4,3,3,4,0,0,3,9,2,5,2,1,7,4,4,4,6,1,6,3,3,3,5,6,1,1,4,1,3,4,2,3,3,2,7,1,3,1,6,3,1,9,0,4,4,6,5,6,7,0,3,6,4,2,3,3,2,6,5,7,2,3,3,1,2,4,5,4,9,3,2,1,1,4,4,1,3,5,4,1,3,2,4,5,5,2,2,2,3,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,2,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,1,1,2,1,0,1,0,0,1,6,1,1,0,4,3,1,6,5,3,4,2,5,3,4,3,3,2,4,4,3,4,4,1,4,4,2,2,2,4,4,4,6
5,0,3,2,3,5,2,3,2,3,0,2,3,7,1,4,4,5,3,0,2,0,2,4,3,3,5,6,2,2,5,4,2,1,5,5,2,3,9,3,2,2,3,4,6,4,5,2,1,4,0,4,7,1,4,0,7,5,1,2,2,1,4,5,5,1,1,3,4,3,4,4,6,2,3,3,3,2,3,2,3,2,1,2,2,4,6,7,1,2,4,1,2,3,5,2,5,2,2,4,1,3,3,1,4,1,3,5,6,3,6,4,2,5,3,5,3,2,8,3,5,4,3,4,4,3,4,2,4,6,2,2,4,1,3,6,4,3,3,0,4,1,3,6,3,5,1,4,3,2,4,1,4,3,1,1,2,1,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,2,0,1,0,1,1,1,0,0,1,1,2,4,1,0,3,1,2,3,3,3,2,1,2,2,5,3,4,2,2,6,5,7,3,3,5,2,1,2,6,7,4
5,3,3,1,4,2,1,5,4,0,4,5,2,4,2,3,3,1,3,1,6,3,2,4,5,2,3,0,3,7,4,1,2,3,2,3,4,3,2,4,0,4,4,2,4,2,2,3,0,2,5,4,5,2,4,3,3,6,4,3,5,5,2,1,6,2,6,2,3,3,5,5,3,3,4,2,3,9,2,7,1,5,4,6,5,5,4,2,2,2,1,2,3,8,5,3,4,1,2,2,7,1,4,2,6,5,3,6,3,3,4,1,2,4,1,2,1,2,5,3,4,4,3,4,6,4,3,4,2,1,2,4,5,2,2,5,4,2,8,2,4,2,2,2,2,3,2,5,3,4,4,1,3,3,2,2,1,1,4,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,1,1,4,2,2,0,3,1,0,2,5,1,1,3,2,5,5,2,3,5,4,4,5,4,5,4,4,2,5,4,3,1,4,2,3,3,1
3,3,6,4,3,6,2,3,6,3,0,1,4,5,0,3,3,4,4,1,5,4,6,4,2,4,4,3,2,2,2,4,0,7,2,3,2,3,4,1,1,5,3,3,5,5,3,4,4,1,2,3,2,4,1,2,1,5,2,3,7,5,2,1,5,1,3,3,4,3,2,3,2,4,1,2,1,2,7,2,4,3,2,4,6,2,4,7,6,1,6,4,7,2,7,1,8,0,0,4,3,3,2,2,3,5,5,4,8,4,4,3,4,6,2,0,0,5,3,4,4,2,4,6,2,4,6,2,3,5,5,1,1,3,1,3,2,3,2,6,4,3,3,5,4,3,4,4,7,2,5,3,1,3,1,2,3,2,1,1,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,1,1,0,0,1,1,1,1,1,0,2,0,2,1,4,3,2,2,2,1,3,3,1,3,1,3,1,1,1,3,2,2,3,2,3,2,3,3,0,2,2,4,1,2,1,2
1,4,5,4,4,0,3,3,2,3,3,4,4,4,2,2,4,1,4,4,1,2,2,2,0,2,3,2,2,4,3,4,2,1,4,3,7,6,2,2,1,3,3,3,2,7,4,4,3,2,3,4,3,4,3,0,0,0,0,3,3,3,5,3,4,2,5,3,2,1,3,1,5,1,4,2,1,5,4,3,2,3,4,3,2,3,3,1,4,0,5,1,0,0,3,1,5,9,3,5,3,5,5,3,1,3,6,3,3,3,2,0,1,2,3,4,3,2,6,7,3,1,1,3,1,5,2,2,1,1,7,0,3,3,3,4,3,3,2,5,3,4,2,6,3,5,3,9,4,3,4,6,2,4,3,2,3,2,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,2,0,1,0,1,0,3,0,0,0,1,1,1,3,1,0,1,2,2,2,2,2,3,1,2,2,2,2,2,1,2,3,1,1,1,4,1,2,2,4,6,7,5,4,3,6,1
4,5,2,5,1,2,0,4,4,5,3,1,3,4,3,2,3,3,3,7,3,3,5,3,1,3,2,0,4,2,6,1,1,10,4,1,2,4,6,8,2,6,6,6,2,6,3,2,1,7,0,4,2,7,2,1,1,4,3,3,3,1,8,1,4,2,5,4,4,4,5,2,5,2,5,2,1,3,0,1,1,6,2,6,5,4,1,1,4,5,3,2,2,4,1,4,3,5,3,4,1,7,2,1,3,7,4,3,3,2,2,5,2,1,3,6,7,2,2,3,3,3,3,5,2,2,4,7,4,4,7,5,5,2,2,5,1,2,0,2,2,4,4,6,4,3,3,2,8,5,1,8,3,3,2,2,1,2,1,1,1,0,0,2,2,1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,2,0,1,1,1,0,1,2,2,1,4,1,1,1,1,2,2,2,1,4,5,2,4,5,2,4,5,3,1,3,4,1,6,5,2,2,3,4,2
3,6,2,1,2,3,0,2,1,3,1,6,4,2,2,5,5,5,1,2,3,2,1,4,2,1,5,3,3,3,2,4,8,5,1,4,2,2,7,1,3,3,3,5,1,5,1,4,3,3,3,1,1,2,3,9,3,1,5,1,3,4,4,2,1,3,0,2,2,2,1,1,3,0,7,5,3,3,1,1,6,1,4,1,3,6,1,1,1,1,4,2,4,1,6,3,1,1,6,4,4,9,3,3,3,5,5,0,1,3,3,2,5,2,2,10,4,4,1,4,4,3,5,3,3,6,8,3,3,3,3,5,1,2,2,4,3,5,3,2,1,4,2,1,4,2,3,3,6,2,4,2,1,2,4,1,1,2,1,1,2,4,0,2,1,2,1,0,0,0,1,1,0,1,2,0,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,0,2,0,0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,0,2,0,0,0,2,0,0,2,1,0,2,1,1,2,1,0,2,1,1,2,1,4,2,4,3,5,5,2,1,4,0,4,2,2,6,3,6,2,1,2,6,3,0,1
0,1,1,8,2,4,2,2,6,4,4,3,6,3,3,3,0,4,4,2,3,5,2,4,4,3,1,4,4,2,4,6,3,3,2,2,5,4,2,4,3,2,3,2,2,4,4,3,4,1,2,1,1,2,1,1,3,5,1,1,4,4,1,2,3,3,2,2,5,1,4,3,1,2,6,2,2,0,3,3,3,4,4,5,4,2,1,7,1,4,4,2,2,3,4,0,2,4,6,2,3,4,4,2,5,2,4,2,1,3,3,3,3,2,2,2,3,7,3,5,5,6,5,4,3,2,2,5,2,4,2,1,0,3,3,3,7,5,3,5,6,3,6,1,0,6,3,0,4,4,3,3,1,2,3,4,6,5,1,3,1,1,1,0,2,4,2,0,1,2,2,2,0,1,1,1,0,0,1,0,0,0,3,2,0,1,2,0,1,0,1,0,0,0,0,3,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,1,0,3,1,0,0,2,3,2,0,4,3,1,6,1,2,4,3,3,1,7,0,2,2,2,3,0,3,6,2,5,0,2,2,5,7,2,2
4,0,3,4,3,3,6,2,3,6,1,4,5,2,4,5,3,4,3,5,5,3,4,4,6,1,2,1,5,2,1,5,4,1,1,3,5,5,5,2,4,7,1,6,3,2,3,1,5,3,4,5,3,3,2,6,4,0,3,2,2,4,0,4,3,2,2,4,3,1,3,1,6,4,2,0,2,6,3,5,2,9,4,0,2,1,1,4,0,1,0,3,6,5,2,5,2,4,3,3,6,4,5,6,3,5,2,1,5,3,6,5,3,4,1,2,7,2,3,4,3,3,2,3,5,4,1,4,3,3,5,7,2,0,4,4,2,2,2,3,4,4,0,5,8,3,3,1,4,2,2,2,3,5,7,4,2,0,3,3,1,1,0,1,2,2,1,1,0,2,2,1,1,1,0,1,2,2,0,1,1,1,0,1,0,0,1,2,1,0,0,1,1,0,2,1,3,1,1,0,0,1,0,1,0,0,3,0,0,0,0,0,0,0,0,0,4,1,1,0,2,3,1,0,1,2,3,2,1,6,2,0,1,7,1,7,0,4,1,5,4,5,1,3,4,4,4,2,4,4,2,4,4,2,7,3
7,2,4,3,4,3,4,2,4,1,1,3,2,5,2,4,3,3,4,2,5,6,1,2,3,6,2,1,4,3,5,3,6,3,3,1,3,1,5,1,1,5,2,4,4,6,2,5,4,1,1,1,5,3,1,7,8,1,2,3,4,2,3,4,2,1,6,1,1,3,1,3,4,2,3,3,6,4,6,2,8,2,1,4,1,3,1,3,1,4,0,3,1,1,1,1,2,4,1,6,3,5,1,4,2,2,3,5,2,4,2,4,1,2,2,3,3,6,1,2,3,2,5,3,3,2,3,5,6,7,7,4,5,4,2,3,4,1,5,4,2,1,1,2,6,4,3,2,2,5,1,4,2,4,2,4,4,3,0,0,2,3,2,1,2,3,1,0,2,0,1,0,2,2,4,1,0,3,0,0,0,2,1,0,1,1,1,0,1,1,0,1,0,0,0,1,1,1,3,1,1,1,0,0,0,0,1,2,0,0,1,0,1,0,0,2,0,3,1,0,1,1,2,1,3,3,1,0,1,2,2,2,5,2,6,3,4,4,3,1,2,6,3,2,3,0,3,2,3,4,2,2,2,3,3,0
7,3,0,6,0,4,4,2,5,9,4,3,1,1,3,3,2,2,2,3,4,2,3,5,9,4,4,5,5,0,3,5,4,1,3,5,1,1,3,7,2,3,2,3,4,5,2,2,5,4,2,5,5,4,6,2,6,5,3,4,4,4,4,7,1,2,0,3,4,2,2,2,3,3,3,3,6,2,2,3,4,2,2,4,7,2,0,5,4,5,2,2,2,4,3,3,3,3,4,4,7,0,6,3,3,1,3,1,2,3,0,4,2,2,3,1,0,6,4,8,1,5,3,2,6,0,4,2,3,2,4,2,3,6,2,1,5,0,1,4,3,1,5,5,0,7,3,2,4,2,2,4,2,1,3,2,0,1,1,5,1,3,2,1,2,2,3,1,1,2,0,1,0,2,1,1,2,0,1,0,0,0,3,0,0,3,1,2,1,0,1,0,0,0,0,0,2,2,2,2,0,0,2,0,0,2,0,3,0,0,0,1,0,0,0,0,0,2,0,0,0,3,0,0,1,0,2,1,0,2,3,1,8,3,3,6,1,4,1,1,5,3,4,2,3,5,2,0,3,2,4,2,1,1,5,3
2,2,3,5,8,3,6,5,2,3,2,3,4,6,4,4,1,3,0,3,5,4,6,2,5,3,7,4,2,2,0,1,4,1,1,2,4,4,5,4,8,3,3,5,6,1,8,3,2,3,2,6,1,2,6,4,5,7,2,3,3,3,0,2,2,4,2,2,1,5,7,2,2,4,2,3,3,4,2,4,3,1,2,1,1,4,2,0,3,4,3,6,4,3,3,6,4,2,3,0,2,3,2,2,6,3,2,1,6,4,4,1,4,6,4,7,4,3,1,2,4,1,4,4,3,3,2,1,1,5,3,4,4,1,3,10,3,5,4,3,6,4,4,4,2,7,3,1,4,3,5,1,1,0,3,3,2,1,1,1,1,3,3,2,1,0,0,1,2,0,2,1,5,0,4,2,1,4,1,2,2,1,3,0,2,0,0,3,3,1,1,1,0,1,4,0,1,3,2,0,2,0,1,1,0,0,3,1,0,0,1,2,2,1,0,1,2,1,1,0,0,0,0,0,1,0,0,1,2,0,2,2,2,3,2,2,2,2,2,3,2,2,3,3,5,3,0,2,4,3,2,3,8,1,1,2
1,6,3,1,6,1,1,1,3,2,3,8,5,3,3,3,1,4,5,9,1,3,3,3,2,1,1,1,2,2,4,3,2,5,2,3,1,3,1,4,6,3,1,5,4,6,3,3,5,4,4,1,5,2,6,3,4,4,7,3,3,2,0,1,1,3,2,6,6,1,4,6,1,3,6,5,1,2,1,0,2,2,6,2,6,2,4,2,1,2,4,1,1,2,7,4,5,5,4,4,4,2,2,2,3,3,2,4,3,3,3,3,4,2,2,4,5,2,4,3,3,3,4,3,1,4,1,0,1,4,7,2,6,5,4,5,0,2,4,2,10,3,6,2,5,5,4,1,4,2,6,0,2,3,3,3,3,3,2,1,3,2,1,1,1,0,3,3,1,1,0,2,1,1,1,4,2,3,1,1,0,0,1,1,2,3,2,3,2,0,1,2,1,4,0,1,0,1,1,0,3,2,1,0,2,2,1,0,0,2,1,0,3,0,2,1,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,3,3,0,0,1,4,3,4,2,3,1,3,5,5,2,1,5,5,3,1,6,2,2,2,3
5,5,5,6,5,2,3,3,2,3,3,2,0,2,4,6,2,2,1,6,2,1,8,1,4,1,5,6,3,4,3,4,3,6,2,2,5,5,1,1,3,4,2,0,3,3,5,2,0,3,1,2,0,2,6,3,2,5,7,1,1,2,2,3,1,2,0,5,3,6,1,7,6,5,4,3,2,6,4,2,2,3,8,4,4,5,1,5,3,3,5,2,4,6,2,5,1,3,6,2,3,7,3,2,2,1,2,3,5,4,5,4,4,4,4,4,4,6,2,3,6,6,4,5,6,3,3,2,4,2,1,7,2,6,3,2,1,3,5,6,4,4,2,6,4,2,0,1,3,4,4,7,3,4,5,2,1,3,0,1,0,1,1,5,3,3,0,3,0,2,3,1,0,4,3,0,2,2,5,1,1,0,1,2,0,0,2,5,0,2,1,2,3,3,2,3,3,2,3,3,0,4,3,1,2,3,2,0,3,2,1,0,4,2,0,0,1,2,2,0,0,2,2,1,1,0,1,2,2,1,3,2,2,1,3,1,2,1,3,0,5,2,2,3,4,3,2,4,6,3,6,3,4,1,4,2
1,4,4,4,2,2,1,1,4,4,0,0,2,3,2,6,6,5,5,2,1,1,3,3,3,7,4,0,3,3,3,2,2,0,4,5,6,3,5,1,3,2,2,1,1,4,2,3,5,2,3,4,7,1,2,4,1,5,2,4,8,1,3,7,3,2,3,2,3,4,0,5,3,4,3,5,1,3,5,2,3,2,2,6,4,6,0,3,2,3,1,2,3,4,3,4,3,2,1,4,2,3,2,3,4,1,6,3,4,2,3,2,5,4,5,6,3,5,6,2,1,2,2,3,3,4,6,3,7,2,5,5,2,3,1,4,7,4,8,4,4,0,4,5,5,2,5,2,2,3,2,9,1,2,3,1,2,2,3,3,1,3,1,3,3,3,1,4,2,2,1,2,3,4,2,1,4,0,2,1,1,0,5,3,1,4,3,0,3,1,0,0,2,0,2,1,3,0,3,8,3,3,5,1,4,2,1,0,0,1,2,1,1,0,1,3,0,1,2,0,3,4,1,0,5,1,0,2,0,0,4,3,4,1,2,1,1,1,4,2,2,4,4,4,4,3,2,2,2,4,1,3,3,1,3,4
4,3,3,3,3,4,2,0,4,4,1,3,5,6,2,5,1,1,6,4,4,5,2,5,3,2,4,3,1,0,1,2,6,2,3,2,5,4,4,2,5,2,2,1,1,2,4,7,2,1,1,1,1,4,2,1,2,3,1,5,3,2,3,2,3,3,4,3,4,6,3,4,3,2,3,1,2,1,3,5,6,2,5,5,0,3,3,4,3,2,2,2,0,2,4,3,4,0,5,6,3,4,1,2,4,2,4,1,4,2,3,0,2,4,5,1,5,3,6,7,1,2,2,2,4,3,8,1,1,2,5,6,4,1,4,3,2,2,4,2,3,5,2,3,5,3,3,3,3,5,10,3,2,5,5,2,5,1,3,3,0,0,0,2,0,1,4,2,3,0,4,3,2,1,2,0,3,0,2,1,5,3,3,2,2,6,1,0,1,1,1,2,1,1,1,1,1,2,4,3,1,2,1,2,2,4,4,3,2,2,1,1,2,3,1,1,2,1,2,2,1,6,3,0,3,1,4,2,1,2,1,3,0,4,1,3,1,4,2,1,0,4,4,3,4,4,1,4,5,5,0,4,5,3,1,1
3,3,2,1,4,1,0,3,2,2,3,1,5,2,5,3,4,4,5,1,6,1,1,2,3,5,6,4,1,1,4,5,3,3,0,4,4,6,2,3,0,2,3,3,1,4,4,3,5,5,4,1,1,3,6,2,7,0,0,2,1,2,1,3,2,5,2,2,1,1,1,3,4,2,1,1,2,6,5,3,5,3,6,3,2,0,4,2,7,4,3,2,3,2,1,4,2,3,3,4,2,3,4,2,2,1,2,9,2,5,3,1,5,3,2,1,6,6,3,3,3,6,3,1,4,1,0,6,4,2,2,1,5,7,1,3,4,2,4,4,6,8,2,3,0,4,4,3,6,4,4,4,5,2,5,2,2,0,3,3,1,0,2,2,0,2,1,1,3,3,4,3,3,1,3,1,2,2,1,2,1,1,2,3,1,3,4,4,1,5,1,1,2,2,2,2,1,0,2,0,2,1,0,2,1,2,2,4,3,2,1,3,2,0,1,3,3,3,1,4,3,3,2,1,2,1,1,0,0,2,2,2,0,3,0,3,2,6,3,4,1,6,0,3,2,5,3,2,4,2,1,1,3,5,2,2
3,5,3,2,5,4,4,5,3,3,4,3,1,4,3,4,2,2,3,2,4,3,2,3,4,3,4,5,0,4,4,2,4,6,2,3,2,3,2,3,4,5,3,2,2,4,2,1,2,4,3,8,4,2,1,2,5,1,2,1,5,2,5,7,1,3,2,2,5,1,5,7,4,2,3,3,6,1,4,2,3,3,2,2,7,3,4,6,2,3,3,5,3,5,2,1,3,3,3,5,4,2,3,4,5,5,4,5,8,2,1,4,3,6,2,1,7,6,4,3,3,3,2,2,1,0,3,4,5,5,3,4,2,2,1,6,8,4,5,2,4,5,2,3,8,2,1,2,4,3,2,3,1,2,4,2,3,3,1,1,0,2,3,1,2,3,0,3,3,2,2,0,2,1,2,2,3,2,0,1,3,5,5,3,2,1,1,3,4,3,1,1,3,5,0,3,0,2,1,0,1,4,0,3,1,6,4,1,2,2,2,3,1,1,1,1,4,4,1,2,2,2,3,2,2,1,2,4,2,1,2,5,6,1,2,0,3,3,1,4,7,1,1,3,5,5,0,6,3,2,4,5,3,1,3,4
6,1,3,4,4,4,4,4,3,5,5,1,5,1,2,4,1,3,2,2,0,2,3,3,5,3,3,4,7,5,3,2,2,4,2,2,2,2,4,5,5,2,4,5,4,6,2,4,1,0,2,2,3,7,5,4,4,4,3,2,3,1,3,4,1,1,2,3,1,0,1,5,3,4,2,1,6,3,1,2,1,4,4,3,1,3,4,4,4,5,1,2,2,4,6,3,6,6,2,3,3,3,1,4,3,2,5,2,1,10,3,2,0,2,4,2,5,5,8,3,3,6,6,6,3,5,2,3,3,0,4,2,1,1,3,4,1,2,5,6,1,3,3,1,5,3,10,3,3,3,8,4,4,5,3,1,2,1,4,5,2,2,0,3,5,2,1,4,4,2,1,1,2,1,0,2,2,1,1,6,1,4,1,4,4,3,2,8,2,2,2,6,6,2,4,2,1,0,0,4,1,2,3,2,3,1,0,2,2,0,0,3,0,2,1,3,2,4,2,2,2,3,1,4,2,2,4,4,1,0,1,2,3,2,2,2,2,0,4,5,3,3,3,7,2,3,4,6,2,0,1,3,4,5,1,3
1,4,3,2,1,7,2,4,3,2,3,4,3,3,4,3,4,3,4,6,3,5,1,2,4,5,4,2,3,6,2,3,3,2,3,2,5,3,4,5,1,3,3,0,5,2,4,4,3,6,2,8,3,4,3,1,0,5,3,1,5,2,3,3,3,1,4,4,4,1,0,1,4,2,3,1,1,3,4,4,1,6,5,4,1,2,1,4,4,3,3,4,3,3,0,4,3,0,5,4,1,2,2,2,3,4,4,0,1,5,4,5,5,1,3,5,3,4,4,4,1,3,4,4,1,3,2,4,1,2,4,3,5,1,7,2,1,4,1,3,2,3,6,2,2,0,3,2,4,6,2,5,2,4,4,2,1,8,1,2,2,2,1,1,1,1,0,2,4,3,0,5,3,2,1,3,3,3,6,3,2,1,4,4,1,0,1,1,2,3,2,3,2,4,6,0,3,1,3,3,4,1,0,2,3,3,0,3,0,3,6,4,2,2,3,2,2,1,3,1,1,3,2,2,2,3,3,1,1,2,2,3,3,3,4,3,2,5,5,1,2,4,2,3,3,2,4,6,4,1,3,6,4,5,0,2
2,1,2,0,1,6,1,4,4,2,0,4,2,4,2,5,4,1,3,3,2,2,4,2,3,1,2,7,4,5,3,4,8,3,2,5,1,2,2,3,3,2,2,4,2,2,5,3,3,3,0,11,4,4,1,5,4,2,6,2,1,4,7,1,6,3,6,3,3,2,6,4,2,3,2,3,1,1,2,5,4,0,3,3,4,1,2,4,3,2,1,1,7,8,2,5,3,1,3,7,2,4,4,2,4,4,2,4,2,1,1,3,1,3,2,1,1,2,5,2,5,4,3,3,2,5,6,4,3,5,2,2,1,2,2,2,4,3,2,3,3,8,6,3,1,2,2,5,2,3,2,1,1,1,4,4,3,3,3,3,2,3,1,2,3,2,3,2,4,4,7,1,1,4,1,3,3,2,2,0,4,1,2,5,4,1,0,1,2,0,1,2,3,3,3,4,0,0,1,3,1,1,1,3,4,0,2,4,3,1,1,3,1,2,4,2,0,2,1,2,3,3,2,1,5,1,1,3,2,0,1,1,4,3,0,3,3,2,4,5,2,2,1,0,3,4,4,4,4,2,1,3,6,5,3,2
3,5,5,4,3,5,3,6,3,1,3,1,2,3,5,4,3,6,4,4,3,4,4,3,4,3,6,2,5,3,1,4,3,0,5,2,2,1,0,5,2,4,7,0,1,6,1,2,4,2,0,3,4,1,2,2,4,3,7,5,3,6,3,3,3,4,1,2,4,6,6,3,3,5,6,2,5,1,8,4,1,1,3,1,3,1,5,4,2,1,2,5,3,2,3,5,0,4,4,6,1,4,5,0,3,3,4,5,1,3,2,6,5,2,2,3,3,5,7,1,3,2,4,3,3,3,2,2,4,1,2,2,7,3,2,1,3,2,5,2,3,4,1,2,6,6,3,3,2,2,4,6,4,3,3,2,3,0,6,2,3,3,2,1,0,3,3,2,4,1,3,1,0,2,4,2,1,3,4,3,2,2,2,3,3,6,0,2,1,1,3,5,3,1,3,2,1,2,5,1,2,3,3,1,3,1,2,2,0,4,1,2,2,1,3,1,3,2,0,4,2,4,4,3,4,3,1,4,2,1,3,2,1,5,3,2,2,4,6,3,2,0,8,2,1,6,4,5,5,2,3,2,2,1,4,7
4,3,3,4,0,2,4,3,1,5,7,8,2,1,2,5,4,4,3,3,1,5,3,4,6,2,5,5,2,4,2,1,0,1,1,1,3,1,5,2,2,3,2,0,4,1,4,6,3,4,6,2,2,3,2,2,2,6,2,3,3,2,4,5,0,4,0,4,6,6,5,1,3,2,2,2,2,4,6,1,2,4,6,6,3,4,4,5,3,3,2,2,2,2,4,5,2,3,4,2,2,1,4,4,9,2,2,4,4,1,4,8,3,2,3,2,4,5,4,5,4,4,1,1,8,6,4,3,2,3,2,4,3,3,3,4,3,0,3,5,3,4,2,2,6,3,1,2,1,5,6,2,5,6,1,1,1,0,1,1,3,2,2,4,1,1,6,2,5,2,4,2,3,3,0,3,3,2,1,5,1,1,3,0,0,0,1,4,3,1,2,2,3,0,3,3,1,4,4,2,4,2,3,3,1,2,2,4,3,3,2,1,4,4,2,3,3,1,2,1,1,4,4,0,4,3,5,2,2,1,2,4,3,3,3,4,5,3,2,5,3,6,5,2,2,3,3,7,5,1,5,3,6,4,4,1
2,3,3,1,1,2,1,2,3,1,6,4,4,6,4,3,2,2,3,2,4,5,3,6,4,1,8,3,2,5,2,4,1,1,3,3,4,1,2,4,7,6,2,1,1,5,4,4,0,2,1,1,5,5,1,5,3,4,2,4,2,2,2,4,2,3,6,4,3,5,2,3,1,5,3,7,1,1,1,3,1,5,5,4,3,10,0,3,6,5,4,0,5,4,3,2,0,4,3,3,2,1,2,4,1,2,4,0,4,3,3,1,3,3,7,3,6,4,1,1,3,2,2,5,3,2,5,4,6,7,1,4,4,6,2,3,3,4,5,6,7,3,1,3,4,1,4,7,2,7,3,3,2,2,2,4,2,1,1,1,2,1,0,3,2,3,2,0,4,4,3,2,2,5,4,3,1,2,3,3,7,0,0,3,1,2,3,2,3,2,3,0,2,3,0,2,1,3,2,2,1,1,3,1,0,1,3,5,0,6,1,2,1,1,2,1,4,1,1,4,3,2,0,1,4,3,3,7,3,1,3,5,2,3,4,2,4,1,5,3,5,0,2,3,3,4,4,0,2,1,7,0,5,2,0,4
4,3,3,7,1,1,3,3,5,5,3,3,5,5,6,3,3,3,2,5,2,1,4,2,2,2,4,4,3,3,4,3,4,1,3,3,1,6,3,1,1,1,2,2,3,5,3,3,6,5,1,3,3,3,2,2,2,2,3,1,5,4,0,3,4,4,6,3,2,5,6,6,7,2,2,1,4,4,6,2,4,1,4,1,3,2,2,2,3,1,3,7,6,4,3,3,1,3,6,0,5,4,2,1,3,4,1,3,5,1,1,2,4,3,5,6,4,0,3,1,1,7,5,3,4,2,5,4,8,1,3,4,2,2,5,8,6,5,2,5,2,1,4,5,1,5,5,3,5,7,2,2,2,1,1,4,4,2,2,4,3,1,3,3,1,0,1,2,3,2,3,3,2,1,1,2,1,1,3,1,5,3,2,0,0,3,0,2,2,4,3,2,1,2,5,7,0,1,3,3,3,2,3,2,5,3,3,4,4,2,3,2,1,3,1,2,1,2,4,0,2,4,4,0,1,4,2,4,4,1,3,3,4,3,2,1,3,1,4,1,4,2,2,4,3,1,2,5,2,5,1,5,3,1,4,5
3,2,3,0,3,2,4,0,2,2,2,5,6,6,2,3,0,7,1,4,5,4,2,2,4,5,1,1,2,2,6,5,1,1,4,7,7,2,3,3,5,4,4,5,3,6,9,1,2,6,2,4,2,1,2,4,5,6,2,3,1,6,1,2,6,5,3,6,2,3,1,2,5,0,4,4,3,3,1,0,3,6,1,3,4,2,3,2,6,9,3,3,2,6,3,5,2,5,2,4,2,2,3,2,4,0,5,1,2,3,3,5,5,1,3,2,1,1,3,2,6,3,5,5,5,4,2,5,1,4,0,3,7,4,7,4,3,0,5,5,2,3,8,4,3,3,4,4,4,7,7,3,2,3,2,1,4,1,6,2,1,3,5,0,3,2,1,2,2,1,1,1,1,2,3,1,1,3,4,3,1,1,3,1,2,5,1,0,0,1,1,3,3,4,2,6,1,3,8,2,1,2,2,5,4,7,5,1,3,3,4,2,2,5,1,6,8,1,3,3,0,2,2,2,2,1,5,3,4,7,4,5,3,3,1,3,3,2,6,1,4,1,7,3,3,1,2,1,3,3,2,7,1,2,3,3
2,1,3,3,2,4,3,2,7,1,0,3,3,4,4,1,2,6,2,2,0,0,3,3,3,5,1,5,3,1,2,4,0,1,0,4,3,2,4,2,4,5,5,4,3,5,2,1,7,3,3,4,5,6,4,2,3,2,0,2,4,3,2,5,4,1,3,0,4,5,2,4,4,0,2,1,5,3,4,4,3,4,2,5,7,2,4,1,4,3,1,1,3,2,6,5,4,6,1,2,2,1,1,3,2,2,3,4,1,1,6,8,2,5,6,0,3,4,2,3,5,6,5,1,10,3,4,4,1,0,4,4,4,0,2,2,3,4,5,6,2,4,4,1,3,2,6,3,5,1,3,1,1,2,6,2,0,3,0,3,2,0,2,6,1,2,0,2,0,3,1,1,3,3,0,0,1,4,1,2,1,1,1,1,1,1,2,5,1,1,3,3,1,1,4,7,4,3,5,3,2,1,6,2,1,2,3,1,2,1,1,1,4,2,6,1,2,6,2,1,2,3,2,4,4,1,2,3,1,3,5,2,3,2,4,6,2,4,4,5,4,2,4,3,3,0,5,2,4,5,5,4,3,7,4,5
4,9,5,4,5,7,2,0,5,1,7,2,5,2,2,5,7,1,5,1,1,1,1,2,3,2,9,4,2,1,4,4,3,4,4,3,2,1,5,2,4,1,2,4,4,4,3,5,3,3,1,2,0,1,6,3,2,2,2,2,2,2,6,3,5,4,2,1,1,2,3,3,5,2,4,3,3,3,4,2,4,5,3,3,6,6,6,4,5,5,3,2,1,4,0,2,3,7,2,5,2,1,4,7,4,3,0,2,5,3,1,3,3,6,1,4,3,2,2,1,2,3,7,0,1,1,3,4,3,1,2,6,4,5,2,2,1,2,1,2,2,4,3,2,6,6,3,4,3,1,1,3,3,4,2,2,5,1,5,1,2,2,2,2,1,5,4,2,3,1,2,2,0,3,2,1,2,0,2,3,2,2,2,1,3,1,2,3,2,4,1,0,2,1,3,3,5,5,3,2,3,1,0,1,1,4,1,0,2,5,1,4,5,7,3,0,4,3,3,5,6,3,0,3,5,3,1,2,3,5,2,6,4,4,3,4,2,3,3,3,1,1,2,3,1,3,4,3,3,5,4,3,6,2,8,3
2,0,3,2,1,3,4,3,6,4,4,1,3,0,1,5,5,7,6,5,0,6,3,4,5,2,4,1,1,1,3,1,4,0,1,7,2,1,4,1,1,3,4,2,4,7,2,1,4,3,3,5,2,5,9,3,1,3,2,5,4,1,4,2,3,2,5,3,3,2,7,7,3,1,3,1,2,5,4,0,4,5,5,2,2,2,4,1,4,3,2,4,5,5,2,1,3,1,3,7,2,6,3,4,4,2,2,5,5,2,4,2,4,6,4,4,4,4,1,4,4,1,4,4,4,4,3,2,4,5,6,3,3,3,3,2,4,2,2,0,2,1,4,3,2,2,4,3,2,1,3,3,2,4,3,1,6,2,3,2,2,0,2,0,6,2,3,0,2,2,2,2,1,2,3,2,3,3,2,2,0,2,2,3,3,5,2,2,2,2,3,1,5,3,1,2,0,0,1,4,3,2,1,0,2,4,3,3,3,1,3,1,3,0,7,0,3,4,2,2,8,0,0,1,2,6,4,5,3,1,2,4,0,3,5,1,1,3,5,6,5,6,7,2,4,1,4,2,1,1,3,2,5,5,1,4
3,3,5,4,0,0,1,3,1,1,2,2,1,3,0,4,3,3,4,5,4,5,5,3,3,3,0,2,5,5,3,1,1,0,2,4,4,0,5,4,5,5,4,3,2,1,3,2,3,3,3,2,3,5,6,5,5,1,4,4,5,1,2,2,2,3,4,7,2,3,7,2,2,3,2,3,2,5,4,3,3,3,4,3,4,4,3,4,0,4,3,4,1,3,5,5,4,4,2,3,3,0,6,2,5,5,0,6,6,10,3,8,4,2,2,3,3,5,2,7,1,8,3,4,3,4,0,4,4,4,5,2,2,4,4,3,1,2,5,3,2,2,3,6,4,6,9,5,1,2,4,5,1,1,4,0,1,4,6,1,4,3,2,2,2,2,2,3,2,1,0,0,1,1,1,1,3,0,4,2,0,5,1,3,2,3,3,2,4,0,4,1,3,1,4,3,1,4,4,5,1,3,5,1,4,0,4,2,2,4,4,1,6,8,3,3,4,2,2,2,3,1,0,4,4,3,1,2,3,2,1,1,3,7,5,3,1,3,3,2,7,2,4,7,4,3,2,4,3,2,2,1,1,3,6,2
3,6,4,5,4,2,3,3,2,2,4,3,2,3,5,4,2,2,1,3,4,4,5,1,5,8,1,4,6,2,3,5,1,3,2,1,3,5,4,3,5,4,2,7,3,1,2,6,5,4,5,2,3,2,1,1,4,5,7,0,2,5,7,3,3,1,4,3,4,0,8,3,3,2,0,4,1,5,6,4,3,5,3,1,6,6,4,2,4,3,3,2,4,4,3,2,2,5,0,0,7,2,1,2,3,4,3,3,4,4,2,5,1,3,1,0,1,3,0,6,7,2,2,1,3,1,5,3,1,6,5,8,8,6,0,1,6,2,3,4,2,3,4,6,3,2,4,1,2,1,1,5,5,5,3,3,1,7,2,2,2,2,5,4,3,4,0,3,2,2,2,1,3,1,2,2,0,4,1,1,5,1,4,5,1,2,0,3,3,3,3,3,1,2,5,0,1,4,2,7,5,2,3,5,1,2,1,2,3,3,0,5,1,5,4,0,4,2,4,3,4,4,3,6,5,5,5,2,1,2,1,4,2,3,7,1,4,3,4,4,2,3,4,6,3,1,5,2,5,5,2,6,2,1,4,6
3,2,1,1,4,5,3,1,2,2,4,1,4,5,4,2,0,2,1,6,3,3,3,3,4,3,4,1,0,4,3,4,0,3,3,0,3,2,5,3,3,2,2,4,1,2,4,2,4,2,1,1,6,0,4,2,3,4,1,3,1,9,4,3,2,7,6,2,1,5,5,3,5,2,2,3,1,6,5,2,2,1,2,1,0,0,5,3,3,6,0,7,4,3,3,4,5,0,3,5,1,3,3,5,4,4,5,2,1,8,3,0,6,5,4,4,2,5,4,1,4,3,3,4,2,0,5,1,4,3,1,3,1,4,3,0,4,3,1,5,3,5,1,5,6,4,3,5,4,6,5,8,2,3,4,1,4,1,2,3,1,1,3,2,1,3,3,1,6,4,2,6,0,2,3,3,0,5,3,1,3,2,3,2,1,1,2,4,0,3,0,1,2,2,6,1,4,3,4,1,0,7,3,1,4,0,3,2,2,4,3,2,3,4,4,4,5,6,2,3,2,2,4,1,5,0,2,1,0,2,3,4,0,2,2,4,4,2,2,6,3,2,3,5,4,7,3,3,3,2,2,3,2,3,2,2
5,6,4,2,7,5,5,4,2,3,2,4,2,6,1,2,4,1,0,1,5,3,5,2,1,1,5,2,2,8,5,2,2,2,2,3,3,4,4,2,0,1,2,7,4,0,6,5,3,3,1,3,2,2,3,3,2,5,1,1,4,3,4,2,2,5,2,8,3,2,6,1,4,3,6,5,5,1,3,3,5,3,3,2,4,2,2,6,2,5,2,4,3,3,3,3,2,2,4,2,3,5,4,2,3,5,5,2,2,2,2,3,2,4,2,2,3,2,2,4,1,4,3,4,2,4,5,2,4,5,4,2,7,1,2,2,6,4,4,5,3,6,3,4,9,3,0,6,2,2,6,4,1,1,2,1,3,2,3,7,3,2,4,3,3,1,4,3,3,1,0,3,5,3,3,1,1,2,1,2,2,4,0,1,3,0,5,3,1,3,6,3,4,4,4,3,1,2,2,4,3,2,1,4,5,2,2,4,0,3,3,6,2,4,2,2,3,4,5,1,5,1,3,3,0,2,5,1,3,3,1,4,4,1,2,0,3,4,3,3,1,3,3,2,2,4,1,4,2,3,4,2,5,4,7,2
2,2,3,0,1,2,3,2,2,1,5,3,6,7,6,3,3,2,5,4,5,1,5,2,2,0,1,2,2,4,1,1,1,3,4,1,4,5,1,1,2,0,2,2,2,2,2,0,7,6,2,2,3,4,5,5,2,2,2,5,3,4,2,5,3,4,3,4,3,1,1,4,2,3,2,5,4,5,1,6,2,1,5,7,3,5,2,3,2,6,1,1,5,4,4,2,3,5,2,0,1,3,3,1,3,2,8,5,2,3,2,7,3,7,5,2,4,1,4,0,4,4,4,2,2,2,3,7,0,5,1,0,1,2,3,3,5,5,3,7,4,1,8,3,3,0,5,3,2,1,3,4,2,1,1,1,3,3,2,1,1,6,1,2,0,2,0,2,3,1,4,2,1,3,2,3,3,2,2,2,1,1,1,3,1,2,0,4,1,0,3,4,3,3,1,3,2,2,3,2,2,2,3,4,2,5,3,0,1,1,2,1,2,3,3,3,3,3,3,7,6,3,3,2,2,3,4,1,1,3,5,0,2,4,4,1,7,1,4,1,1,3,1,4,2,2,2,3,2,2,2,3,3,3,6,2
0,2,4,0,4,1,0,2,4,2,2,4,6,4,2,0,3,5,5,2,2,0,1,2,2,1,1,3,3,0,2,4,1,5,3,3,3,2,1,2,2,4,3,2,4,1,1,4,3,1,4,4,3,1,5,3,5,2,1,3,3,5,3,3,2,5,0,6,5,5,2,1,3,6,3,5,0,0,3,3,3,4,2,1,1,3,4,3,4,1,4,4,1,4,2,3,2,1,6,3,6,5,1,3,5,4,1,9,0,4,5,2,1,3,5,2,2,2,3,4,0,1,4,2,3,5,2,1,3,7,2,1,5,1,2,2,0,6,6,3,4,2,6,0,5,1,5,3,7,6,1,2,4,1,5,5,2,2,1,2,0,1,1,1,3,3,5,3,1,0,2,0,2,0,2,1,2,2,2,1,1,1,1,2,3,3,3,1,3,3,4,4,3,4,3,2,3,5,1,2,1,4,1,0,4,3,2,1,1,2,5,0,3,1,4,0,3,4,1,2,2,1,2,2,0,2,2,3,6,1,2,1,3,2,4,8,2,1,3,4,4,5,4,0,4,5,4,3,3,4,2,1,2,2,3,5
0,3,5,3,2,1,4,0,1,5,5,4,4,6,1,5,5,1,3,3,3,4,3,5,2,2,2,4,5,1,3,6,4,3,1,4,1,1,3,2,5,3,3,3,4,3,0,2,3,5,1,2,4,2,1,2,3,2,0,2,1,5,6,2,1,1,4,4,3,1,3,2,6,5,0,5,1,6,1,1,4,5,1,3,3,3,2,5,3,3,5,2,3,2,8,0,4,5,4,0,3,3,1,4,7,8,4,1,1,1,0,4,5,6,1,6,2,3,2,3,2,3,3,6,6,1,2,2,1,6,2,3,2,7,6,4,4,3,4,4,4,4,2,4,6,4,4,1,1,8,2,0,1,0,0,1,7,1,4,2,2,7,1,1,0,4,3,3,3,2,2,3,4,0,2,1,1,2,4,1,0,1,0,2,7,7,3,0,4,3,1,2,2,3,2,3,2,4,2,5,2,1,3,1,2,5,2,1,2,3,3,3,4,3,4,3,5,5,3,4,6,3,2,0,3,1,3,2,2,1,3,2,2,0,4,2,3,4,4,6,1,4,3,7,1,2,4,2,4,7,3,3,1,7,3,1
3,0,0,8,1,2,5,5,4,2,3,5,3,2,2,2,5,4,3,4,3,2,3,5,4,3,4,5,1,4,2,1,2,6,7,0,1,3,1,2,2,1,3,4,3,1,2,5,4,1,2,2,0,2,2,4,4,3,3,7,5,5,3,5,1,3,0,2,3,4,3,0,2,2,4,6,2,2,5,5,1,4,2,4,4,2,3,3,1,3,6,2,2,2,2,4,4,2,2,3,5,2,3,4,1,1,1,2,2,4,0,3,5,2,1,2,1,2,3,5,3,3,6,4,3,2,3,4,3,4,5,2,5,0,3,3,2,5,4,2,1,6,1,3,2,3,3,2,5,3,3,2,1,4,3,5,2,1,5,2,1,4,2,4,1,5,2,2,1,0,2,2,5,3,0,0,0,5,2,3,2,3,1,1,4,1,4,3,5,2,4,3,4,0,1,1,4,3,2,1,4,7,1,1,1,1,2,1,3,6,4,4,1,3,5,4,2,6,3,4,5,4,6,5,1,1,3,4,3,5,0,5,6,3,7,4,3,1,1,4,4,4,4,2,3,1,5,4,2,6,4,3,4,1,4,1
6,3,3,3,6,1,3,2,3,3,2,2,3,3,0,3,4,1,1,0,3,2,4,3,3,3,3,2,0,3,1,5,3,4,4,4,2,4,7,0,5,5,2,2,2,2,3,0,6,4,2,2,3,0,1,2,4,3,4,4,6,3,1,2,3,1,2,4,2,4,3,4,2,4,3,2,3,2,3,1,3,1,2,4,4,5,3,3,4,4,1,1,3,3,0,3,3,2,5,6,3,5,4,6,2,1,2,2,4,5,2,3,2,1,1,4,6,6,3,6,4,3,4,1,4,3,2,0,3,3,5,3,4,1,2,3,3,5,1,2,2,0,4,5,1,3,3,4,0,2,3,2,3,2,1,4,3,0,2,3,5,3,3,4,2,2,2,2,1,1,2,4,0,4,3,2,2,5,2,3,4,6,5,1,5,6,5,2,4,2,5,4,3,1,1,4,1,2,2,1,3,3,4,3,3,1,5,2,3,3,5,6,8,2,1,3,3,2,2,6,4,1,1,3,4,4,3,4,4,3,3,4,2,2,6,2,2,4,5,6,4,3,1,4,5,2,3,7,3,3,3,1,2,2,5,5
7,1,0,5,0,2,1,6,3,5,5,4,2,5,7,0,6,7,0,3,2,6,3,2,1,1,1,3,3,4,6,3,3,2,4,5,2,3,4,5,5,1,0,8,3,5,2,8,0,4,5,0,2,3,1,3,0,6,2,2,3,5,3,1,4,5,2,3,2,2,4,3,4,3,2,2,6,3,4,3,2,0,2,2,2,1,3,2,6,2,3,2,5,2,3,1,2,2,1,4,3,4,4,2,4,3,5,4,4,5,6,4,3,2,3,5,3,7,4,1,3,3,4,4,4,2,4,2,2,3,6,2,2,4,3,2,3,3,2,5,5,3,4,3,2,4,2,1,2,2,2,2,1,4,4,8,7,2,2,2,2,1,3,4,2,0,5,1,3,1,0,5,1,0,3,3,3,0,4,3,4,1,2,4,3,4,1,4,4,2,1,3,2,3,2,3,2,0,1,3,1,3,4,3,4,3,4,1,1,2,5,3,7,0,2,1,1,2,2,2,1,3,8,2,3,2,4,2,1,5,5,5,4,3,4,2,4,0,1,3,2,2,3,5,2,3,3,2,6,6,3,4,3,6,4,2
3,3,2,3,4,4,1,4,2,3,3,4,5,2,6,4,4,8,2,2,3,2,2,3,5,5,3,3,6,2,6,6,1,1,4,2,1,1,2,3,0,3,1,0,7,6,7,1,4,4,1,3,2,5,4,1,1,2,4,5,3,6,2,6,3,2,2,2,2,1,4,3,5,4,2,4,6,2,3,2,4,3,1,5,1,4,2,4,6,1,3,6,3,3,5,3,2,2,7,2,4,2,2,5,7,4,1,2,2,0,4,2,4,3,3,1,4,4,5,7,2,3,5,1,2,3,4,4,4,2,5,2,0,3,4,4,4,1,1,3,2,3,6,5,3,4,3,3,4,1,4,3,3,2,2,3,2,3,3,4,4,2,1,3,3,3,4,3,1,1,2,0,1,1,2,1,3,2,2,1,1,2,0,2,1,3,4,6,2,0,6,3,4,6,4,0,4,3,5,4,1,6,4,3,2,6,1,3,5,1,4,9,2,0,2,0,4,3,0,4,3,5,3,4,4,3,2,2,2,4,2,3,7,3,3,4,1,3,1,5,5,2,6,4,2,4,5,0,1,0,2,3,6,0,0,1
3,5,3,5,3,5,3,1,5,4,2,0,4,2,6,4,4,3,5,4,2,2,2,4,2,2,3,2,1,1,5,0,4,2,4,3,5,1,5,1,2,1,4,7,3,5,3,3,2,4,2,4,4,4,2,7,4,2,1,3,3,5,7,3,4,1,2,1,4,2,1,3,3,1,2,2,1,7,4,4,3,0,5,1,5,3,0,0,3,5,5,3,5,3,3,4,3,3,3,4,5,1,5,6,0,3,3,0,6,6,2,4,3,4,0,1,3,2,1,3,6,3,2,2,1,8,1,6,4,2,2,2,2,5,3,4,4,1,0,5,4,3,4,3,5,6,2,1,2,4,2,3,2,5,2,3,1,5,4,7,1,2,1,2,2,3,2,2,1,3,2,1,1,3,3,1,3,3,0,2,2,0,3,1,2,4,5,2,3,3,2,2,2,4,1,6,2,3,2,1,2,3,8,4,3,1,2,4,0,2,5,2,4,1,2,5,5,2,1,0,1,1,5,7,1,3,5,0,4,3,2,0,1,4,5,2,1,6,7,2,2,3,2,3,3,2,2,5,3,7,4,2,1,6,2,5
1,5,7,3,2,4,2,1,2,3,3,4,2,5,0,1,3,2,2,2,3,2,6,5,1,2,2,3,1,5,5,3,7,8,3,1,1,2,3,2,1,3,4,5,2,6,4,4,2,2,1,4,4,7,2,3,5,2,2,2,4,2,3,3,4,3,5,5,5,1,7,7,4,5,5,1,6,6,4,6,3,7,6,5,1,0,1,2,2,5,6,4,4,3,3,3,2,5,3,0,1,2,4,1,8,6,2,6,3,3,5,4,2,5,2,1,3,5,6,2,2,4,5,3,0,3,5,2,4,2,8,3,3,3,5,6,6,4,1,1,3,3,0,2,3,4,5,0,2,2,2,4,3,2,4,3,2,2,1,1,2,2,2,2,1,7,1,1,4,1,1,6,4,4,1,1,2,3,6,3,2,2,3,1,2,1,4,1,1,2,3,3,4,1,4,0,3,3,0,4,4,5,2,3,4,2,3,2,2,7,3,1,3,2,1,4,7,6,5,4,1,6,1,2,2,3,2,5,2,5,2,5,5,4,5,3,4,1,3,1,4,4,3,2,1,5,7,3,4,4,5,0,1,2,2,3
4,3,2,2,2,1,0,1,3,5,5,2,2,0,6,3,1,3,2,2,4,4,7,1,3,6,2,4,4,0,4,2,6,1,3,1,4,6,0,0,1,3,1,2,3,2,7,3,2,1,2,0,0,0,3,2,2,5,3,7,4,3,4,1,3,0,2,3,1,4,2,6,3,5,4,6,4,3,7,5,4,5,1,5,2,0,3,3,3,2,5,1,2,4,3,3,3,5,3,8,1,6,3,4,5,3,4,1,1,2,7,3,5,4,2,2,3,5,1,2,3,1,3,4,6,6,2,4,4,1,4,1,3,1,5,1,4,2,1,3,1,0,5,7,2,1,4,5,2,1,3,3,5,4,3,1,2,2,2,0,3,5,1,4,4,1,1,2,2,2,5,2,0,4,4,2,1,1,0,3,4,2,1,2,6,0,3,4,2,2,3,3,1,1,1,5,0,1,4,4,4,1,2,3,2,3,2,6,3,2,3,4,5,4,0,2,0,2,3,4,5,1,8,3,3,3,8,6,4,4,1,2,0,3,3,3,2,2,3,1,2,5,6,3,1,2,4,3,2,2,3,2,2,2,5,2
3,4,2,5,1,4,5,2,4,1,5,3,0,0,3,2,6,3,1,3,3,5,4,4,3,4,4,2,1,2,6,1,2,5,1,5,3,3,6,4,6,1,2,9,3,3,3,2,6,5,2,2,6,3,5,1,2,3,0,4,1,4,4,2,3,2,2,5,4,2,0,4,2,6,4,4,0,2,2,2,3,1,4,3,1,5,2,5,1,3,5,8,6,3,2,5,3,1,4,2,1,1,4,4,2,5,2,4,6,4,4,3,6,1,5,3,4,3,6,5,7,6,2,2,6,5,2,6,4,4,2,3,3,3,1,2,5,1,2,2,2,1,3,2,4,1,6,3,4,6,3,3,0,4,2,3,3,1,3,4,3,2,3,3,2,1,3,3,2,2,6,5,1,1,2,0,2,2,2,2,3,2,5,4,2,1,0,5,2,3,0,3,1,3,2,1,1,2,4,3,5,3,3,2,1,4,2,6,7,5,2,3,1,3,4,4,6,7,1,3,2,4,2,1,2,3,4,1,0,2,6,3,3,0,6,6,3,2,5,4,4,3,7,6,5,5,4,4,3,7,5,4,7,4,5,2
3,6,2,0,1,1,5,5,1,5,1,5,2,7,3,2,6,3,5,1,2,1,5,2,3,2,2,3,1,1,1,4,6,3,2,2,7,1,5,1,3,4,4,3,6,7,8,6,4,2,3,2,4,3,2,4,5,1,2,0,6,4,6,3,4,3,3,2,1,3,1,0,3,3,5,5,3,1,1,0,2,1,2,1,5,4,4,5,4,1,2,7,3,3,1,2,1,5,1,5,3,3,1,4,2,4,0,2,4,6,3,1,3,1,1,5,6,2,4,4,1,3,6,5,3,3,3,7,3,5,4,5,5,4,6,5,3,5,5,4,2,4,1,6,4,2,3,5,1,2,3,2,1,2,2,1,1,3,4,0,2,6,2,3,3,1,4,3,1,1,1,3,2,3,3,1,4,2,1,3,1,3,0,4,4,0,1,7,2,3,3,6,0,1,6,2,4,0,2,5,3,5,6,3,7,1,2,4,1,5,7,6,4,2,6,8,5,2,3,2,1,9,5,2,2,5,2,3,5,1,6,0,0,6,1,3,5,4,4,1,1,5,5,0,4,1,3,2,3,2,4,1,0,6,2,2
4,9,0,4,3,4,0,5,1,4,2,3,0,1,5,5,1,2,2,3,5,4,3,6,3,2,1,4,2,2,4,4,7,5,4,2,6,3,4,2,4,1,0,0,4,3,5,2,4,3,2,1,2,2,4,2,5,6,2,6,6,1,2,4,4,1,1,0,4,5,3,3,3,3,2,3,6,2,3,0,5,4,3,3,2,4,2,0,2,4,5,1,3,2,1,4,2,6,4,1,3,5,4,2,2,1,0,2,4,0,4,7,4,2,1,4,6,2,6,3,6,1,8,0,0,6,2,4,3,5,2,2,3,1,3,1,8,3,0,2,1,2,3,2,1,1,5,3,2,7,1,3,1,2,1,2,2,3,0,3,2,2,2,4,3,0,3,2,3,2,1,4,2,1,3,3,1,1,5,3,3,2,1,0,3,2,4,4,5,2,0,2,3,0,5,3,5,2,3,2,4,2,4,0,2,1,1,2,0,3,3,2,2,5,3,3,5,0,6,4,6,5,3,5,3,2,3,5,4,5,3,6,3,2,3,6,4,4,6,2,4,4,5,8,4,2,7,1,2,3,4,1,1,2,0,2
5,3,1,4,3,1,5,1,2,5,6,3,3,3,5,3,0,3,4,3,3,2,3,7,1,4,5,4,3,2,4,2,0,2,8,2,1,6,3,3,2,4,6,3,4,2,6,2,0,5,1,10,2,9,2,10,3,2,2,1,2,6,4,3,1,3,3,2,1,2,6,2,2,7,3,8,3,4,4,3,4,3,6,1,2,4,1,4,2,3,2,8,2,3,5,2,3,0,3,5,1,3,1,1,5,5,2,4,1,3,5,3,2,6,4,6,0,2,3,6,5,4,4,2,2,0,2,3,3,1,2,4,8,6,2,5,3,5,2,2,3,4,4,3,11,4,8,1,1,7,3,2,1,1,4,1,2,0,2,1,3,6,2,3,1,2,2,2,2,1,2,1,3,1,3,1,5,3,1,1,2,2,1,2,4,6,2,3,1,2,5,1,4,1,2,3,5,3,3,5,2,1,2,0,2,3,6,3,5,3,4,2,1,3,4,3,2,4,1,3,4,1,2,4,1,3,1,4,3,2,0,2,5,5,3,3,4,3,0,6,4,2,0,2,3,1,2,4,3,5,1,3,6,2,5,3
2,3,4,0,4,0,3,3,2,5,6,5,8,0,4,3,7,4,2,3,2,2,2,1,7,2,2,4,4,3,2,2,5,2,2,2,0,4,1,5,1,3,2,5,3,3,5,5,2,3,3,1,2,6,5,6,3,5,3,2,3,3,3,5,4,2,3,5,2,5,2,1,5,2,2,0,4,2,4,2,5,4,2,5,2,2,5,2,4,0,7,3,4,1,3,7,1,1,2,3,1,3,4,1,4,3,4,1,4,10,3,4,4,3,1,0,0,3,4,2,3,2,2,2,6,4,4,6,4,5,3,6,7,3,1,7,3,4,3,1,3,5,6,4,2,7,2,3,4,1,4,1,1,2,1,0,0,3,1,2,2,3,3,1,2,4,4,5,3,6,1,6,1,0,3,4,4,4,4,5,3,2,2,2,6,5,3,4,1,5,1,3,3,2,4,3,3,7,3,3,2,3,1,1,2,0,4,3,5,5,6,3,6,4,2,6,4,7,5,5,3,2,5,6,5,2,5,0,2,4,3,1,1,4,7,10,8,2,4,2,5,9,3,4,1,3,3,1,5,2,5,0,2,6,8,1
3,5,9,4,2,0,4,4,5,2,5,2,3,6,4,3,2,6,5,7,1,2,2,6,1,5,2,4,1,2,2,3,2,1,2,4,3,3,1,3,1,3,2,4,4,6,4,2,5,2,1,5,0,3,4,6,1,1,6,6,1,5,3,3,3,4,4,2,5,4,6,0,3,3,3,2,2,3,3,4,4,3,4,1,1,3,3,0,2,5,4,4,3,2,5,5,2,1,1,2,5,1,2,4,0,4,4,0,1,3,3,5,4,2,1,3,1,4,6,1,0,3,0,5,2,1,2,3,4,3,5,3,5,2,1,4,2,3,4,2,5,0,3,2,1,3,4,2,3,0,1,0,6,2,3,7,4,0,1,5,3,2,2,1,0,2,3,2,6,0,2,3,4,1,3,1,3,2,4,4,5,3,3,2,3,0,4,2,4,2,1,2,1,2,3,3,4,8,5,1,0,4,6,2,5,2,4,3,2,4,2,4,2,2,5,2,3,4,4,1,3,7,2,3,2,6,3,4,2,6,2,5,4,2,4,3,1,2,7,3,4,2,4,2,2,3,1,2,4,3,3,2,6,3,4,4
3,4,4,2,2,4,4,4,2,1,4,3,7,3,2,2,2,4,2,3,2,3,5,2,4,0,1,4,4,4,2,6,1,3,3,6,2,3,2,3,2,2,2,2,6,3,3,2,4,6,4,1,2,1,10,2,2,1,0,3,2,4,5,2,2,3,6,6,3,4,2,5,4,8,1,3,0,2,4,4,4,3,6,2,3,4,4,0,4,4,4,1,5,1,1,6,6,1,1,1,2,6,0,2,3,4,1,4,3,3,6,4,3,4,3,4,1,3,2,6,4,1,1,3,3,1,7,5,0,2,3,4,1,4,4,2,4,3,3,3,3,3,5,6,5,2,2,2,2,0,3,2,1,1,0,3,1,2,0,2,1,0,2,3,1,3,2,2,4,0,2,0,1,2,4,1,3,2,4,0,2,1,3,1,3,0,3,0,4,2,4,5,3,1,2,5,1,5,4,0,7,1,4,2,2,4,0,3,1,1,6,4,3,3,2,3,4,0,2,1,3,2,3,3,3,1,5,3,1,2,3,3,6,5,6,4,1,1,5,2,5,3,3,4,4,1,3,3,0,3,3,5,3,2,8,2
5,2,5,3,3,2,8,6,1,1,3,4,4,3,1,3,5,2,4,9,4,5,3,5,3,4,6,1,4,2,8,3,4,4,2,4,3,2,4,5,8,3,4,3,3,0,5,2,2,5,5,1,2,3,3,3,1,2,3,2,6,3,4,2,2,6,3,2,3,2,4,5,4,2,3,1,4,3,3,2,5,5,7,1,4,0,2,4,1,1,2,6,3,1,4,5,2,4,5,6,6,5,6,2,4,5,1,2,4,2,2,1,3,4,4,6,6,3,7,3,2,1,4,8,4,3,1,4,5,1,6,1,3,6,1,5,3,5,4,1,3,2,0,7,3,4,5,4,2,3,0,1,1,2,3,2,4,1,3,0,6,3,0,3,1,1,4,4,2,3,2,5,2,5,3,0,4,4,3,6,2,1,3,5,2,3,6,0,3,1,3,3,4,3,5,5,5,4,3,3,2,5,5,3,4,2,5,1,5,5,6,4,2,2,1,4,3,0,6,5,3,5,4,3,2,2,1,4,5,5,2,4,4,3,3,3,2,2,4,3,2,1,3,3,2,2,3,2,4,2,2,1,4,5,2,1
3,2,0,4,3,1,4,0,3,1,1,3,3,3,3,4,2,1,7,5,3,2,1,3,2,2,2,3,3,3,5,4,6,4,4,3,5,2,0,0,0,3,4,2,3,7,5,1,2,5,8,7,2,4,1,2,4,5,2,4,4,6,3,2,1,1,2,3,2,1,2,3,8,2,3,1,3,2,4,5,3,5,2,2,2,3,3,4,4,0,1,4,2,5,4,2,4,3,4,3,6,2,0,3,1,4,3,2,1,5,6,4,5,2,3,6,5,2,4,0,0,5,1,4,1,6,3,4,6,3,5,2,6,3,1,1,2,2,2,2,6,0,7,3,3,1,1,4,3,5,3,3,2,1,1,3,3,1,1,7,2,3,1,4,1,0,4,4,2,5,3,3,3,2,3,4,0,1,3,6,3,1,2,2,2,3,2,2,2,4,4,0,5,9,3,2,1,5,4,2,2,2,7,2,1,5,3,2,3,3,3,8,4,4,7,1,3,6,1,4,3,3,4,3,8,3,2,2,1,4,4,2,5,2,3,5,0,4,2,0,6,5,4,4,2,0,1,3,4,1,9,4,6,2,4,4
3,5,2,3,4,1,1,2,2,2,7,4,2,6,4,3,1,5,6,5,3,2,1,4,4,3,3,3,0,2,4,3,5,4,2,2,5,1,5,2,4,0,3,1,1,2,2,3,2,3,1,2,2,4,3,4,2,4,3,3,4,5,7,2,1,7,6,8,2,2,5,3,5,4,1,4,4,2,3,2,4,2,3,3,3,5,1,1,12,3,5,2,1,5,4,7,5,3,6,3,2,5,3,1,2,9,4,0,4,5,3,2,5,3,3,4,3,2,5,1,1,3,0,0,3,2,5,4,1,5,6,2,2,3,8,3,7,3,2,1,4,4,2,4,6,4,2,4,2,4,1,4,1,1,4,0,5,3,2,4,2,2,3,2,3,2,2,4,2,1,4,0,2,4,2,2,3,1,2,4,3,5,4,4,3,1,4,2,5,3,2,2,2,4,6,3,5,7,3,5,3,1,3,3,2,7,1,2,3,3,1,1,1,2,2,3,4,3,4,2,3,6,2,4,2,2,3,7,3,4,6,3,4,3,6,6,3,5,4,2,1,2,0,3,3,3,3,1,5,3,5,2,4,4,5,4
2,5,4,3,2,2,1,2,3,4,4,5,2,1,5,6,2,5,4,2,4,0,3,1,3,1,5,2,6,2,4,0,3,4,5,3,2,2,0,4,2,4,1,4,3,3,1,4,3,2,4,6,2,4,6,2,4,0,3,4,0,4,1,6,1,5,3,6,4,4,2,4,3,5,2,4,4,3,5,6,5,2,3,3,5,3,4,3,3,1,3,4,1,4,1,0,2,5,2,5,4,0,4,5,3,1,2,5,1,2,4,4,3,2,1,2,2,3,1,3,3,2,2,5,5,5,4,2,2,4,4,1,2,1,3,5,3,2,6,5,4,3,2,4,1,1,5,2,3,2,3,4,0,0,0,2,0,3,3,1,2,2,5,6,2,1,1,1,7,2,4,4,5,1,3,2,2,1,2,1,1,5,6,3,2,2,6,2,2,3,3,2,1,4,3,3,0,3,2,3,3,3,1,0,5,3,4,1,3,3,5,5,4,6,3,2,5,1,4,0,1,3,7,1,4,2,3,5,3,1,0,2,4,2,3,1,4,2,1,3,1,3,6,0,2,2,3,6,2,7,2,2,2,4,5,1
1,2,1,3,3,6,3,2,1,1,3,4,5,4,2,3,5,1,4,6,3,5,6,4,4,3,0,4,3,2,3,4,3,3,2,0,8,3,4,1,2,6,3,3,2,3,4,3,3,2,3,4,3,1,2,6,3,3,2,1,2,1,4,2,5,3,3,3,3,3,2,3,3,2,6,2,6,5,4,0,1,2,4,4,3,3,6,2,4,2,0,3,6,4,3,5,4,0,2,2,3,3,1,6,1,1,3,6,3,6,4,1,0,1,5,2,2,4,3,4,4,3,1,4,3,5,5,5,0,5,4,2,0,4,2,3,4,2,0,2,4,1,3,5,1,4,3,2,2,3,2,0,1,1,3,2,1,5,7,6,4,2,3,1,5,0,1,2,2,1,1,2,2,5,5,3,0,3,11,3,3,3,2,2,2,3,3,4,2,5,7,5,2,5,5,1,1,3,5,0,4,5,4,3,3,3,3,5,6,2,3,4,1,4,4,7,2,2,2,4,1,1,1,4,4,5,1,5,1,3,3,3,1,2,1,3,6,2,4,0,4,1,6,2,4,7,7,4,5,2,0,5,0,6,2,2
1,2,2,1,3,5,0,3,6,4,3,3,2,2,4,1,6,3,2,5,1,4,2,2,4,4,1,4,3,5,5,1,5,2,5,3,5,1,0,6,4,5,3,6,6,4,4,2,2,4,4,4,4,3,6,1,4,3,5,8,5,3,3,1,3,3,3,3,5,2,1,3,4,2,3,3,3,2,5,3,4,5,2,2,4,6,2,2,1,1,3,6,4,0,0,0,3,3,3,1,5,7,3,3,3,4,1,3,2,4,3,3,4,7,3,3,3,5,2,2,4,1,1,2,1,3,2,3,0,2,4,5,4,4,1,2,1,1,1,3,4,3,1,4,3,4,5,4,4,2,0,2,1,2,2,1,1,6,4,4,5,2,2,4,2,2,1,3,3,2,2,3,2,0,6,3,4,5,1,4,6,1,3,2,4,3,7,3,0,6,3,3,4,1,3,3,4,4,7,3,1,2,5,3,3,3,4,9,6,0,3,2,2,4,4,5,2,2,5,1,6,1,2,1,2,1,2,3,3,4,4,1,7,6,5,3,3,4,4,3,3,5,3,5,7,4,2,4,5,6,7,1,2,4,3,2
6,2,3,5,5,3,4,4,1,3,3,3,1,6,7,1,1,4,2,6,2,2,0,4,3,5,3,4,0,0,3,3,2,7,1,3,3,5,3,0,3,3,3,3,4,0,5,2,2,3,4,1,5,4,1,3,5,5,3,3,4,3,3,4,0,5,4,1,5,3,1,6,1,0,4,2,3,3,4,1,3,4,3,3,4,3,5,0,1,4,7,2,1,3,4,2,4,6,5,3,5,1,3,6,5,1,4,2,1,5,4,2,1,5,0,1,2,6,1,3,4,2,2,3,1,2,4,2,4,2,2,4,3,6,5,10,1,5,1,3,6,2,3,4,1,2,3,1,6,0,4,2,1,2,3,1,1,4,5,1,3,2,3,2,3,4,2,3,1,0,3,4,1,1,1,6,5,4,3,4,3,3,0,2,4,4,1,0,3,4,3,2,3,5,3,1,4,6,4,3,1,1,3,2,5,3,3,4,2,2,5,2,5,6,0,6,5,2,4,2,2,5,3,5,2,2,5,6,5,5,2,8,1,5,1,2,1,10,2,5,1,2,6,2,5,3,1,3,2,3,3,3,3,2,3,6
2,3,8,1,2,2,2,5,1,4,3,4,2,1,2,0,4,2,2,2,4,5,4,2,2,0,5,4,4,3,4,4,3,4,3,5,2,3,1,1,3,4,5,4,3,3,2,4,2,3,2,2,0,3,3,2,4,3,5,4,7,7,2,1,6,0,4,5,4,3,1,0,1,3,1,2,2,3,0,4,2,3,3,6,6,2,1,5,1,3,4,3,4,2,1,5,6,3,1,0,6,2,5,6,3,6,2,3,4,4,4,4,3,2,4,2,2,2,5,5,8,4,5,2,1,4,1,3,4,3,6,3,6,1,4,0,2,4,6,4,4,0,6,0,2,3,2,4,2,8,2,3,6,0,4,4,2,1,1,2,4,1,9,4,3,4,2,1,7,3,4,5,3,3,3,3,3,3,2,2,3,5,3,2,2,3,3,2,3,4,2,1,4,2,1,2,1,5,3,1,5,7,6,3,7,2,3,2,3,1,4,3,4,4,3,2,2,1,5,1,0,2,1,7,3,5,8,4,4,2,2,4,6,4,6,2,2,3,4,6,0,3,4,5,3,2,1,1,8,3,5,5,4,1,1,5
3,3,0,3,3,1,5,3,1,4,1,3,6,4,5,4,3,1,4,7,6,5,4,4,1,2,1,0,2,1,2,2,1,2,2,6,2,1,6,4,1,1,2,6,3,6,1,1,6,0,3,5,2,0,2,1,3,4,5,3,5,1,1,3,3,7,0,4,4,2,3,2,2,5,2,3,2,1,3,1,1,3,5,4,5,8,5,5,1,0,1,2,0,5,3,3,3,4,3,0,4,1,2,2,2,3,2,1,3,3,2,1,1,4,2,5,8,1,3,5,3,1,3,2,5,7,2,5,5,3,1,3,3,4,6,3,2,4,4,5,2,4,0,2,1,2,3,1,0,1,2,5,5,3,3,5,5,0,3,5,1,2,3,3,3,3,4,2,0,4,0,1,3,0,1,6,4,0,3,1,2,3,3,5,5,2,1,3,3,3,3,2,2,6,4,5,4,3,2,5,2,4,1,3,1,4,3,1,3,1,1,4,0,2,2,1,2,5,3,3,2,3,4,3,6,5,2,1,4,4,1,2,3,0,4,2,7,5,4,1,3,2,6,2,5,7,3,2,2,2,0,2,5,3,4,2
5,2,1,5,5,6,7,2,5,3,3,2,1,3,4,4,0,2,4,3,2,2,1,3,2,2,5,2,2,4,0,1,0,1,4,1,6,4,9,2,2,3,4,2,3,4,6,4,0,2,2,5,3,4,3,1,3,4,3,3,2,3,2,1,3,3,3,1,1,5,1,5,0,3,1,3,6,4,1,3,1,4,2,2,4,5,3,3,2,5,4,6,5,2,5,2,4,4,1,4,3,3,7,2,4,4,4,5,3,4,2,8,4,3,4,2,3,3,0,4,2,4,7,2,1,2,5,2,2,4,1,7,1,4,5,3,1,2,6,2,4,3,2,5,2,2,2,0,2,4,1,2,1,2,0,2,1,2,5,7,4,6,4,3,2,3,4,2,5,3,6,3,5,6,1,3,2,5,1,1,1,1,3,0,2,2,3,3,5,3,2,1,4,4,2,5,5,2,5,2,5,4,5,3,0,1,3,3,5,6,6,3,1,2,0,1,2,3,6,6,1,1,3,4,2,2,6,4,2,5,4,3,1,4,3,3,0,3,2,2,8,4,1,7,2,4,4,1,5,5,6,4,3,6,4,1
1,5,2,5,4,3,4,5,3,2,2,2,3,4,2,2,5,3,7,1,6,6,3,7,2,2,1,3,1,7,0,3,0,4,2,3,5,3,3,2,4,3,1,5,3,2,2,0,4,2,1,3,1,2,2,1,3,3,3,3,3,3,1,4,3,2,6,3,7,4,2,5,2,4,6,4,4,6,3,5,3,2,3,3,4,5,2,3,2,3,3,3,3,3,2,2,5,2,4,3,2,1,1,2,2,1,2,1,3,3,3,2,3,2,1,3,2,2,2,2,3,4,1,3,2,6,4,3,5,3,5,4,6,2,4,0,3,7,4,2,2,4,1,3,2,7,1,4,2,3,2,3,5,0,2,4,1,1,3,8,6,2,3,2,6,2,0,6,3,3,5,4,4,3,4,4,1,4,3,3,2,2,2,7,2,3,3,3,2,6,10,6,4,2,2,3,1,6,3,6,5,1,4,2,4,3,1,2,4,5,4,1,4,5,2,6,2,3,6,10,3,5,1,2,1,2,2,2,2,3,1,7,5,3,4,6,3,4,4,2,1,3,8,9,1,3,4,4,2,4,3,4,6,0,8,3
1,2,2,2,2,4,3,4,0,1,2,6,10,5,3,3,2,2,3,2,5,1,1,5,4,1,3,1,5,0,5,3,8,1,0,5,2,1,4,3,6,3,2,4,2,2,4,2,2,5,0,1,5,1,7,2,3,1,4,3,4,4,3,0,3,3,2,2,4,6,2,2,3,3,5,3,1,3,2,3,4,1,1,3,2,3,5,3,5,3,1,2,3,3,0,5,3,2,3,3,2,4,3,1,5,4,8,2,3,2,3,5,3,2,1,3,1,6,2,6,8,1,5,3,4,2,4,2,3,4,7,4,3,2,1,4,3,2,4,1,4,0,2,3,0,3,4,3,1,2,5,4,1,2,2,1,3,0,4,4,1,2,2,2,3,1,3,2,4,3,1,2,3,4,2,3,4,4,2,2,1,3,0,2,5,4,4,2,1,6,4,5,1,2,2,0,2,5,0,6,2,6,4,1,1,2,3,1,4,7,1,5,3,5,7,6,5,3,4,4,2,4,5,3,8,4,3,5,3,4,3,3,4,3,4,2,3,5,2,3,1,4,1,2,5,2,2,4,1,1,6,2,2,6,4,4
5,5,2,5,4,2,3,3,1,5,1,2,2,3,4,1,1,3,3,2,3,2,3,0,2,4,4,2,1,0,3,2,2,3,1,5,1,3,2,1,2,3,3,2,2,4,4,4,3,1,2,3,1,4,0,1,2,5,2,2,4,2,4,5,2,2,2,3,3,5,6,2,2,6,8,0,10,4,5,4,3,6,3,2,6,0,4,3,4,3,5,3,6,3,2,6,3,1,5,2,3,0,1,1,5,3,2,5,4,6,0,2,2,3,5,2,3,5,7,2,2,3,3,4,2,7,5,4,0,5,2,8,2,3,1,3,3,3,2,4,5,4,2,4,5,2,1,1,4,3,5,1,6,4,4,1,2,1,3,6,3,2,7,4,3,4,4,4,3,2,1,3,4,1,2,4,2,3,3,2,1,2,4,2,2,2,2,4,1,4,3,2,2,1,2,8,5,4,6,1,5,4,2,2,4,3,3,3,3,2,1,6,2,1,1,1,5,2,2,6,2,7,5,3,3,2,6,4,3,3,5,3,4,4,1,1,2,1,2,4,6,4,1,4,3,2,3,4,3,4,3,3,5,5,3,2
5,2,5,2,3,6,3,3,3,6,7,1,2,1,2,4,4,4,1,4,2,3,4,8,3,3,4,6,3,2,1,1,3,5,3,3,5,3,2,8,6,2,3,2,6,8,3,2,4,0,1,5,3,3,2,2,6,2,5,4,3,0,3,2,4,4,6,2,3,7,2,2,3,0,4,0,2,3,3,5,3,4,5,0,2,5,4,1,1,1,1,0,3,3,4,3,1,3,2,2,3,3,0,5,1,3,4,0,1,1,3,1,1,4,4,3,6,4,2,1,3,1,4,3,3,4,7,0,2,2,6,2,0,5,5,5,4,1,2,6,1,3,2,5,1,2,2,3,2,3,1,2,4,2,3,6,5,0,3,4,2,1,2,5,2,5,6,2,7,5,3,3,5,2,1,6,2,1,4,4,2,2,1,5,2,0,5,3,4,4,1,2,3,2,8,4,5,3,2,4,1,5,2,4,5,4,5,6,4,7,1,3,1,5,5,3,5,4,3,3,5,3,3,6,4,1,1,7,1,2,2,2,2,5,3,5,1,1,4,4,2,3,0,6,5,2,4,3,4,2,1,1,5,8,6,3
4,2,3,3,4,2,1,3,4,1,1,3,1,0,3,4,4,2,3,2,2,6,4,2,7,5,3,6,8,3,2,4,2,5,6,2,2,1,1,3,1,3,1,3,4,3,6,2,0,4,6,3,3,5,2,5,2,2,2,3,3,2,3,3,4,1,8,4,3,3,3,1,4,0,3,4,3,4,3,2,2,1,1,3,7,4,1,3,1,2,1,5,2,4,2,2,2,2,1,2,4,4,2,4,1,3,4,1,3,4,5,2,5,2,4,4,3,2,5,5,4,1,6,1,4,1,6,2,1,4,2,4,5,7,4,1,3,0,4,2,6,5,3,0,2,2,1,6,1,3,2,4,4,3,4,3,4,3,2,3,2,2,0,4,4,4,4,4,3,3,1,2,7,1,3,3,2,1,2,3,3,3,4,4,3,2,3,2,3,1,1,4,3,3,3,5,1,5,4,0,3,0,1,2,2,2,2,2,2,0,4,1,6,2,5,3,2,5,7,4,4,5,7,2,2,4,1,2,10,3,2,3,3,3,1,4,4,2,4,5,2,2,5,1,3,2,4,6,6,5,2,5,5,3,3,4
1,5,3,3,2,5,3,2,4,1,4,5,0,3,0,3,5,3,7,6,3,2,4,1,1,4,3,3,4,1,0,0,3,2,0,1,2,3,1,5,0,4,4,2,0,1,4,1,5,5,3,2,4,3,3,3,3,3,3,1,3,3,2,8,3,4,2,2,3,3,4,6,4,4,2,2,4,4,3,4,4,0,3,3,1,3,2,2,5,4,0,0,3,3,2,6,2,2,5,3,6,4,2,2,2,3,2,4,1,3,1,3,4,5,4,2,7,2,2,2,2,4,6,4,5,3,3,5,2,1,0,4,4,3,3,8,4,4,1,4,5,3,9,2,1,3,1,1,5,3,3,3,3,2,4,4,2,0,2,3,3,2,1,3,2,4,5,4,5,3,4,2,10,5,1,3,3,4,2,4,3,3,4,4,4,6,4,2,5,3,3,1,2,1,7,2,5,1,7,2,2,6,3,2,7,4,4,0,4,2,4,2,3,3,1,5,4,2,1,4,4,3,1,7,3,4,3,5,2,3,4,3,2,1,4,2,2,2,4,1,6,4,4,4,1,3,6,4,3,3,1,2,4,1,5,4
7,2,4,7,2,3,6,6,2,1,2,6,4,0,5,3,3,4,4,2,4,7,3,2,5,1,3,6,2,3,3,5,3,2,2,1,8,4,4,3,2,3,4,4,1,4,4,3,3,0,2,3,5,5,1,2,5,1,6,0,7,6,3,6,2,1,4,1,4,3,4,3,6,1,5,4,5,2,1,2,2,8,3,2,4,6,6,3,3,6,4,5,1,4,3,3,4,2,3,6,2,2,2,1,2,2,3,2,6,1,4,2,2,5,3,2,2,6,6,7,5,4,1,2,0,2,1,1,3,4,5,2,0,3,1,4,2,5,5,3,4,4,4,2,2,1,5,3,4,5,2,5,3,6,4,3,4,2,5,4,1,6,2,4,5,4,2,3,4,0,5,3,5,7,5,2,1,3,4,2,2,1,3,5,2,3,3,8,3,4,1,4,5,3,2,1,3,3,6,2,2,4,3,4,1,3,4,5,1,3,4,2,3,5,1,3,3,6,1,3,6,0,1,2,2,4,3,5,2,5,3,5,6,2,2,5,4,3,5,6,1,8,3,7,6,2,3,5,2,0,3,6,8,4,2,2
3,1,5,6,4,4,3,6,1,1,2,2,5,0,7,3,6,1,4,3,6,2,4,2,3,3,6,3,1,6,3,2,4,4,2,4,5,5,3,5,3,2,3,2,3,3,2,4,6,1,4,2,5,4,9,2,2,4,5,2,2,4,6,6,1,5,4,11,2,3,4,2,7,2,6,2,2,5,3,4,4,7,0,2,3,5,1,3,1,4,1,1,4,3,3,1,4,3,2,3,3,5,3,3,1,5,3,6,2,3,6,6,5,2,5,4,6,2,1,3,4,8,2,2,1,3,6,5,5,2,4,2,8,3,4,3,5,3,3,13,3,7,4,4,2,6,4,3,6,3,4,5,4,4,1,3,4,4,3,3,2,6,3,1,4,3,4,2,6,7,3,2,3,4,5,2,2,2,3,1,2,4,3,7,0,4,2,0,1,1,3,2,5,1,3,2,5,1,4,2,0,3,5,2,4,4,3,7,5,4,2,3,1,2,7,4,4,4,3,2,5,5,0,4,4,2,6,5,1,2,2,6,3,3,6,6,3,4,3,5,4,5,1,2,5,7,3,3,5,0,2,0,5,4,2,7
3,8,3,3,3,2,0,2,3,3,2,3,2,1,1,2,4,3,2,2,2,1,2,4,1,2,5,10,3,6,2,6,2,2,4,2,1,2,3,5,3,5,4,4,4,3,4,5,5,0,2,0,2,6,2,6,5,5,5,2,0,5,2,5,4,4,2,2,2,5,6,3,6,2,2,6,3,2,4,4,5,3,2,3,3,2,3,4,4,3,6,2,5,1,4,2,3,5,5,1,3,3,1,4,2,3,4,1,5,5,4,4,2,3,7,2,5,6,0,2,1,0,5,2,2,3,4,5,3,5,2,0,3,2,5,2,2,4,1,1,5,3,1,3,3,5,5,1,0,0,3,3,2,1,4,2,4,2,2,4,2,2,4,1,3,1,3,5,5,4,3,4,3,4,3,5,2,4,3,1,1,3,3,5,3,3,2,2,7,2,4,3,2,4,3,7,1,6,4,6,3,6,1,4,4,1,2,3,2,3,4,3,3,0,4,2,2,4,2,3,2,6,2,1,1,1,2,2,4,2,1,3,4,3,4,1,4,2,2,1,6,4,5,3,4,5,1,8,2,1,6,4,2,2,6,3
3,2,1,2,4,4,4,2,1,2,1,2,3,5,8,0,2,2,4,2,2,3,3,3,2,1,3,2,5,2,3,5,1,4,3,3,1,2,5,1,5,5,4,4,2,4,4,4,5,3,5,3,2,1,3,3,3,2,4,2,3,2,1,4,4,4,3,3,5,5,3,6,1,2,1,4,2,4,3,3,4,6,4,5,1,4,5,3,4,3,4,2,3,3,2,2,4,2,4,0,3,0,1,3,2,2,1,5,6,6,5,2,1,4,1,0,4,4,1,2,3,4,2,4,1,0,2,5,1,5,1,0,1,0,3,1,5,2,0,2,4,3,4,2,0,1,4,2,1,4,4,2,3,3,3,3,3,3,4,1,3,6,4,4,3,5,0,3,5,3,4,5,7,4,2,4,4,4,6,4,2,4,2,5,2,4,1,2,1,4,4,6,4,6,1,3,3,2,6,3,3,3,4,7,1,2,1,1,4,4,5,2,4,4,3,5,9,3,4,5,4,3,3,3,6,6,4,4,1,1,0,2,5,4,2,5,1,3,3,6,7,3,2,3,0,4,1,7,5,5,1,2,4,3,4,1
4,1,3,1,3,6,6,1,1,4,1,3,6,6,2,5,2,3,1,0,0,3,2,6,2,2,3,7,2,2,7,5,4,2,2,3,4,4,2,4,5,2,3,3,7,4,3,4,6,3,3,2,3,8,3,1,6,2,2,2,6,4,2,4,5,0,2,1,2,2,2,0,4,5,1,4,2,3,2,2,1,2,2,2,4,2,3,5,3,2,1,4,3,4,2,3,2,3,2,3,2,2,5,1,3,5,2,2,0,4,8,5,1,6,3,5,3,3,3,2,2,3,7,4,3,6,1,5,2,3,3,5,3,6,5,3,3,1,3,3,2,2,1,3,7,2,2,3,0,0,1,5,3,0,3,1,4,6,3,3,2,3,5,4,1,0,4,8,9,5,0,4,2,2,3,1,5,4,2,1,4,2,5,4,2,4,1,1,4,5,4,1,4,0,4,2,3,1,0,2,5,5,3,4,5,6,4,2,6,3,2,2,2,6,2,6,5,3,4,5,2,4,0,5,4,7,2,4,3,4,4,4,4,1,1,2,2,8,3,2,4,2,6,4,3,0,1,4,3,3,6,3,3,2,3,3
2,3,4,3,8,5,1,0,3,0,1,4,4,8,3,3,5,3,2,4,3,3,6,3,3,2,3,5,0,6,2,1,4,4,4,6,3,0,5,0,4,2,3,3,0,2,2,0,4,4,4,3,3,1,3,0,2,2,4,4,4,4,5,1,2,2,3,3,6,8,3,7,4,7,4,2,6,7,4,1,5,2,2,5,5,3,3,4,2,3,3,7,5,5,3,7,2,3,0,3,3,2,3,0,4,2,1,7,5,2,4,3,7,2,3,3,5,4,1,2,2,0,3,5,2,3,4,0,2,4,2,3,3,2,4,3,3,2,4,3,5,2,4,3,0,2,2,6,2,6,4,4,3,6,6,5,2,6,3,7,4,4,1,2,1,2,4,3,5,3,2,8,5,2,2,2,0,2,3,4,6,1,0,4,2,2,4,2,4,4,4,3,5,5,3,2,2,6,3,2,3,1,5,2,3,4,4,5,2,1,3,2,7,1,4,2,2,0,3,3,2,5,5,4,4,2,2,0,1,3,5,2,6,6,3,1,12,3,3,5,2,4,5,3,3,6,6,2,3,6,4,4,3,1,2,1
3,1,6,1,7,4,2,3,3,7,7,1,3,4,4,5,1,6,2,2,4,4,5,3,3,3,3,5,2,4,2,6,3,3,0,5,5,3,7,6,10,0,6,4,2,2,0,3,2,1,4,5,3,3,6,3,2,4,9,6,5,5,2,2,4,1,3,1,4,3,3,2,6,4,3,3,1,3,3,1,2,2,1,4,2,3,3,4,5,2,3,0,2,2,2,3,1,5,0,4,3,5,3,4,6,4,3,1,3,2,2,3,6,1,1,2,6,2,4,3,4,1,5,5,4,2,6,4,1,7,1,5,3,3,0,4,3,3,3,4,2,4,5,0,0,1,2,3,0,4,6,1,0,5,0,0,5,1,3,5,4,4,1,3,3,2,2,3,6,3,1,2,3,7,2,6,5,3,2,4,2,5,4,3,2,2,5,7,4,3,3,6,2,5,1,4,1,0,1,4,3,4,1,2,6,3,1,5,2,1,3,1,3,5,3,1,4,0,2,2,2,3,5,3,4,1,3,6,3,4,2,1,5,3,2,2,3,2,7,7,5,2,5,6,4,4,6,7,8,4,2,4,2,3,1,6
3,4,3,2,1,4,3,0,1,2,4,4,3,3,1,5,7,4,3,4,3,4,4,1,7,4,3,4,4,9,3,6,3,2,1,1,3,3,2,2,5,3,4,5,1,2,3,2,2,6,3,4,4,2,1,4,3,3,5,3,4,5,2,0,3,5,5,1,3,6,2,3,0,4,5,1,3,2,2,5,2,7,5,0,3,2,3,1,6,2,2,2,6,3,3,3,0,3,1,1,6,11,1,5,2,4,2,1,3,4,2,4,5,3,5,4,3,2,4,6,5,1,3,1,4,3,1,2,2,6,4,2,4,0,3,3,1,7,1,1,3,1,2,3,5,3,3,4,2,1,4,1,4,2,0,2,3,1,5,6,4,2,3,5,2,2,2,4,5,5,3,1,4,3,2,2,1,1,2,2,2,4,1,6,5,3,5,1,2,2,5,2,1,4,2,1,6,2,4,2,2,1,3,4,3,6,7,4,6,5,2,5,1,3,3,4,1,4,4,5,3,2,4,6,4,3,2,1,4,2,4,5,1,3,1,5,3,6,5,1,3,2,7,4,4,3,3,3,2,4,1,2,3,2,4,3
1,1,2,2,4,1,3,4,4,2,1,3,2,3,7,1,6,7,3,1,6,5,4,5,8,3,2,3,1,4,4,3,0,3,1,1,4,3,3,1,1,2,1,5,2,2,6,3,2,2,3,1,0,0,2,3,1,2,4,2,1,3,3,3,2,3,3,1,4,3,5,3,3,8,2,3,3,5,6,4,2,2,2,4,4,3,6,1,3,7,4,2,2,1,4,5,7,2,3,1,7,2,8,1,2,4,4,1,4,3,1,1,2,4,3,4,0,3,2,4,3,5,4,2,4,2,5,0,5,3,1,4,0,2,1,5,2,1,3,3,2,2,2,3,3,3,3,0,2,2,4,3,1,2,5,5,4,3,5,3,2,2,2,5,3,9,4,7,4,7,5,2,3,5,3,2,3,3,3,3,4,4,0,3,3,1,3,4,3,2,4,0,1,3,5,1,5,2,5,4,2,2,6,1,6,4,2,1,5,5,2,4,0,2,7,2,2,4,2,5,4,3,2,1,1,6,4,4,3,2,2,6,3,2,5,5,4,3,3,5,0,4,4,4,3,1,4,5,3,3,2,2,0,7,2,2
3,4,1,3,4,2,3,4,4,6,0,7,3,5,2,7,1,1,6,3,4,2,1,3,3,4,2,3,8,4,6,4,4,7,3,4,3,1,4,2,4,5,5,3,7,5,3,3,2,3,2,4,2,3,4,4,3,4,1,5,3,4,2,1,0,4,2,8,1,1,3,2,2,3,4,3,2,2,3,2,1,4,4,2,4,3,3,2,1,2,1,5,3,0,3,4,7,2,0,2,1,1,1,3,0,4,2,1,1,3,2,2,5,1,5,4,5,2,4,3,2,2,3,6,1,3,2,3,1,6,3,0,3,3,1,4,5,1,1,1,4,0,2,2,3,5,2,2,4,6,4,3,5,5,1,1,5,3,3,2,0,1,6,1,5,1,4,4,5,3,7,7,1,1,2,5,6,4,4,2,4,7,6,4,6,5,1,3,3,6,8,3,8,6,2,5,3,3,3,3,2,1,8,3,1,1,3,2,1,1,1,1,1,4,4,3,4,4,2,6,2,3,3,3,5,4,4,3,3,5,8,5,1,2,5,7,3,10,2,3,4,5,3,1,3,3,3,3,3,2,1,3,2,2,2,1
4,3,5,0,3,0,5,3,2,3,1,1,4,8,5,4,6,1,4,4,2,4,4,4,5,2,2,8,5,1,3,5,6,2,1,3,6,2,2,4,4,6,4,5,3,4,0,5,2,3,8,5,3,3,1,3,3,1,1,2,3,3,5,2,4,3,4,9,5,7,3,3,4,3,2,3,4,4,4,7,1,3,5,2,2,4,3,6,4,4,1,4,2,3,2,5,1,3,1,1,4,4,1,5,7,2,5,3,6,4,2,2,5,3,1,3,6,4,1,4,4,7,0,6,3,3,4,2,1,7,2,1,3,1,4,2,6,3,8,4,0,7,5,2,6,2,2,4,2,3,1,1,3,3,4,4,2,5,2,3,4,4,3,4,3,5,4,1,6,1,4,1,3,5,4,4,3,3,2,5,4,4,2,4,0,5,2,1,3,3,3,4,6,1,4,2,2,3,0,7,0,5,4,2,6,0,1,1,5,0,4,2,0,4,3,3,1,1,3,4,3,4,2,1,9,3,0,7,4,4,3,5,2,1,7,0,3,0,3,3,1,5,2,1,4,4,5,2,2,1,1,6,2,3,4,5
2,4,7,4,3,3,5,2,0,6,3,2,1,5,6,1,2,2,6,4,6,3,2,4,5,3,5,3,4,0,2,2,3,2,1,3,6,2,2,1,3,4,2,1,4,3,7,1,0,3,2,2,5,4,2,4,3,2,4,2,1,1,5,2,7,2,6,1,4,6,4,5,2,2,5,4,2,2,2,2,2,0,3,4,4,2,4,5,1,7,7,3,5,5,6,4,3,1,2,3,2,4,2,4,1,4,2,3,1,1,5,1,5,5,3,3,1,4,3,3,4,7,5,2,4,4,3,3,4,5,2,3,1,3,2,1,5,3,5,4,5,3,2,7,2,0,4,2,4,5,3,5,2,1,3,1,1,8,8,1,1,3,3,4,5,2,0,1,2,5,4,1,3,5,2,5,6,6,5,3,5,0,3,2,4,2,3,3,3,6,0,3,1,1,0,6,6,2,3,2,1,5,2,9,2,4,3,0,3,3,6,1,3,7,3,3,2,4,1,4,7,3,6,2,1,1,0,4,2,3,2,6,5,1,5,2,3,3,6,4,4,4,3,4,1,3,2,4,4,0,6,3,2,1,4,4
4,3,4,2,3,3,1,2,1,1,3,4,1,2,1,2,3,3,6,3,4,2,4,2,3,4,4,7,5,2,1,7,7,1,0,3,4,6,4,2,3,3,6,1,4,1,2,3,1,7,3,1,1,4,2,3,5,4,3,4,2,4,5,5,5,3,3,2,2,6,4,2,1,4,3,4,1,2,3,5,4,1,2,3,4,0,6,3,4,3,3,0,2,4,2,4,6,3,2,3,0,3,1,3,3,5,5,0,5,2,2,1,1,6,2,5,2,1,3,4,3,4,3,3,3,5,2,2,0,2,0,3,4,3,3,2,5,2,4,3,3,2,2,1,3,3,1,2,2,2,3,4,4,4,2,2,2,1,3,5,0,1,2,4,2,2,5,3,8,3,1,1,5,3,7,5,1,2,7,3,3,4,6,1,1,4,2,4,4,3,3,4,4,3,4,5,6,3,2,5,2,4,2,1,3,1,2,3,5,2,4,4,2,4,2,6,5,5,2,5,7,2,4,3,2,1,3,4,3,1,9,3,2,4,2,2,4,2,3,6,2,5,4,3,2,1,4,4,2,4,2,0,2,4,3,1
6,4,2,3,2,3,1,0,0,2,5,4,5,3,1,3,3,3,3,2,1,2,1,0,1,0,3,2,2,1,4,2,4,2,6,2,4,7,5,3,1,6,1,1,3,4,3,4,3,5,5,3,3,1,5,5,5,4,7,5,3,1,1,5,4,4,3,4,5,3,4,2,0,2,4,6,1,8,4,1,1,1,3,2,5,4,1,3,3,1,5,2,4,4,0,4,4,3,2,3,3,1,5,1,2,4,6,2,4,8,2,2,4,1,3,3,3,5,5,4,4,4,1,3,0,6,7,4,4,5,5,4,5,2,6,4,6,3,6,6,5,1,3,1,2,3,1,2,5,1,5,4,5,3,2,1,1,5,0,3,3,3,0,3,1,2,4,2,3,5,1,5,3,4,3,3,5,2,2,6,3,4,6,3,5,4,6,1,6,4,6,3,4,2,2,3,3,7,5,5,1,2,3,2,2,4,2,4,7,2,3,4,3,5,1,2,2,5,8,4,1,3,2,4,5,5,3,5,1,2,3,3,3,5,3,1,3,6,1,1,2,4,3,3,2,4,1,5,4,1,6,5,4,2,2,1
3,4,1,3,3,2,4,4,5,3,2,5,6,8,2,2,2,3,1,2,1,2,2,4,6,5,1,3,6,3,3,4,4,4,3,2,0,8,5,4,4,3,5,2,2,5,3,0,4,4,4,1,3,3,3,5,3,5,3,2,3,1,1,2,1,8,0,1,2,2,3,1,4,3,3,3,3,3,3,2,5,4,2,1,3,0,5,4,5,3,0,2,3,3,5,2,3,7,0,2,1,3,4,3,5,3,6,1,2,5,2,6,0,1,3,3,4,2,2,1,1,4,4,4,7,2,5,4,7,3,3,5,3,3,5,5,4,5,1,3,5,2,2,3,2,3,3,3,0,7,3,4,1,8,2,2,2,2,5,4,1,1,5,1,3,2,7,4,5,4,8,4,3,2,2,0,7,2,2,3,1,2,2,4,5,2,3,4,2,4,5,5,6,3,1,2,2,6,3,4,1,5,4,4,3,4,3,3,2,6,4,2,7,2,5,3,4,5,6,4,2,5,4,8,7,4,5,1,3,3,3,2,4,2,4,4,2,3,1,3,2,5,1,3,3,4,4,2,3,3,1,5,4,3,2,1
4,0,1,3,4,0,3,2,3,4,7,3,3,5,3,3,4,4,3,3,1,3,0,2,4,1,9,4,5,4,3,4,5,5,3,1,3,3,1,4,6,4,4,1,5,1,2,2,5,3,6,3,4,2,1,3,8,6,4,5,3,5,1,2,4,3,2,1,2,3,6,4,1,5,4,4,1,7,4,2,2,4,2,6,2,4,2,2,4,3,4,7,4,3,8,4,6,0,6,2,3,1,6,4,3,2,5,2,1,1,2,3,6,5,6,4,2,1,2,0,4,5,3,4,4,5,5,3,1,3,4,2,2,5,4,5,7,8,1,0,4,2,4,3,4,2,2,2,2,4,6,3,5,4,1,2,2,1,1,5,0,3,5,4,3,1,2,0,2,4,5,3,2,4,4,2,4,2,0,1,2,0,3,3,4,4,3,4,5,3,6,3,5,4,4,3,4,2,6,2,1,5,5,1,3,1,5,3,3,2,3,1,2,2,3,2,3,3,4,2,1,4,5,5,5,3,4,1,3,4,3,3,6,2,3,5,3,2,5,3,1,5,4,5,1,5,2,1,3,3,2,6,1,1,4,1
1,2,6,4,7,3,4,7,2,5,5,1,2,2,2,0,1,3,3,2,5,1,3,4,3,3,4,1,1,5,4,2,4,2,3,2,4,4,5,2,3,3,4,1,5,1,3,1,2,2,0,5,0,3,6,0,3,3,3,3,6,5,4,2,3,2,2,2,1,2,4,1,1,2,2,3,6,2,2,1,3,3,4,2,6,1,5,2,5,2,3,2,5,1,4,0,0,6,2,3,4,4,1,1,2,3,1,0,6,3,0,1,5,4,3,2,6,3,4,6,5,3,2,3,5,4,2,5,1,4,5,4,5,6,2,0,6,2,2,3,4,2,4,2,2,3,2,2,6,3,0,4,3,3,4,5,6,1,0,2,5,3,4,5,7,3,3,0,5,3,3,3,2,2,4,3,3,6,3,0,5,2,1,3,3,1,6,3,2,3,1,4,4,3,2,2,2,3,3,5,1,3,1,3,4,2,5,4,5,3,5,2,2,1,2,8,2,3,2,2,4,4,6,4,1,3,6,5,3,5,2,2,2,3,6,2,2,3,8,2,6,0,5,1,2,5,5,2,3,5,3,3,3,2,1,5
4,3,1,5,3,5,4,5,3,1,5,4,3,3,6,8,5,3,2,1,4,3,3,2,3,1,0,1,0,5,4,6,7,3,1,2,1,3,2,7,5,4,5,3,2,2,3,2,0,0,5,3,4,3,4,2,3,6,4,2,7,3,1,3,3,7,4,4,2,4,6,0,6,2,3,2,2,3,2,4,4,4,9,4,6,2,1,2,4,4,5,4,3,5,4,1,2,3,2,0,6,1,2,3,7,2,2,4,2,4,1,2,5,1,1,4,3,0,6,2,3,3,2,2,1,3,3,7,3,0,2,4,9,3,1,5,0,2,4,2,0,6,4,2,1,2,3,5,5,1,7,0,2,4,2,2,3,0,2,3,0,1,1,4,4,2,6,3,3,2,3,6,4,4,3,1,2,3,6,1,3,2,5,3,2,3,3,3,5,4,1,2,1,4,4,3,5,2,1,4,5,2,3,6,2,3,4,3,3,2,2,7,5,4,2,3,3,4,1,2,6,2,3,3,4,2,9,2,2,6,5,4,5,1,1,2,2,4,4,4,4,2,3,2,1,3,6,3,9,3,2,1,2,6,3,4
4,4,3,4,4,3,1,2,0,3,1,3,2,3,2,1,5,1,1,1,6,6,5,5,5,5,2,2,2,4,6,2,2,4,5,2,1,0,3,3,3,2,0,3,3,6,2,6,2,4,2,4,1,1,2,2,1,2,2,4,5,1,2,7,3,3,4,5,1,1,3,2,1,5,2,4,3,7,2,4,3,3,3,1,3,6,3,1,2,5,2,1,7,5,4,0,6,4,2,1,2,4,5,2,2,2,2,6,2,3,2,3,5,3,3,2,2,2,5,3,1,2,4,3,2,1,4,4,4,2,4,7,2,5,4,6,1,4,3,1,2,2,7,1,4,1,3,3,3,3,4,1,3,4,4,5,2,4,0,3,2,2,4,3,4,6,1,1,1,3,1,2,2,2,5,4,1,5,2,2,4,6,1,2,2,2,5,2,1,3,2,2,2,1,7,1,1,1,4,4,1,3,7,7,3,0,2,5,4,3,3,3,2,1,2,3,2,4,5,5,2,3,4,5,5,3,2,4,4,3,4,3,4,3,1,3,3,4,3,4,3,3,4,3,2,2,2,5,5,1,3,2,4,7,5,4
5,1,5,4,5,2,3,5,3,3,4,4,1,8,6,2,3,1,3,6,3,2,6,3,2,4,1,6,4,4,5,4,2,3,1,1,2,4,1,6,5,2,3,1,1,3,4,4,3,2,4,0,7,2,6,2,0,5,4,4,4,4,3,2,4,2,5,7,1,4,5,3,2,2,3,7,2,0,2,4,4,2,2,3,4,2,3,1,5,1,3,5,2,5,2,2,5,2,4,6,7,6,4,10,2,0,5,3,2,5,1,3,2,1,3,1,0,4,5,6,5,3,3,7,3,1,2,3,2,7,3,2,3,1,3,5,2,2,6,5,1,4,8,2,2,3,4,5,3,2,4,9,3,2,6,4,3,5,2,4,2,3,3,7,4,5,5,4,4,4,3,1,2,6,2,6,4,3,3,6,4,1,3,4,5,2,3,5,2,3,2,8,3,5,4,1,5,2,6,2,3,1,9,5,4,5,7,3,2,3,4,7,3,4,5,2,2,5,6,0,4,2,6,2,3,5,3,2,2,2,3,2,4,2,3,3,2,2,2,4,3,7,7,1,10,0,4,6,6,6,3,5,3,3,0,5
2,2,2,3,6,2,4,1,4,6,3,6,4,1,1,3,2,5,3,3,3,7,0,2,5,5,10,5,5,0,4,2,3,1,4,3,3,3,2,3,2,4,3,2,2,1,5,4,4,5,1,2,6,2,5,1,3,4,1,1,3,3,1,2,2,1,1,7,2,1,1,0,3,3,2,3,6,2,4,1,6,3,4,6,2,2,3,1,0,8,2,2,3,2,2,5,4,4,5,2,2,4,1,2,1,8,2,4,3,2,4,4,4,4,1,5,6,4,5,5,1,1,0,2,3,5,2,1,0,7,5,1,4,2,2,2,7,1,3,1,3,4,2,6,4,9,1,3,3,1,2,3,1,2,4,3,3,2,2,1,5,4,4,3,1,1,7,1,3,4,4,4,4,1,3,3,3,0,6,3,1,3,6,2,1,1,4,3,0,2,7,4,2,4,1,3,4,1,6,2,5,2,6,2,1,2,4,5,5,2,2,3,2,6,2,1,0,1,6,2,3,4,2,2,2,5,1,2,0,3,2,4,1,0,3,4,4,5,3,1,3,3,7,1,1,2,4,4,3,2,2,4,3,3,1,5
3,2,3,1,3,0,1,4,3,0,2,1,2,5,1,1,5,0,2,4,3,5,6,7,8,3,3,7,5,0,0,3,1,4,2,6,4,6,3,0,2,2,3,5,5,2,6,2,3,3,8,4,1,3,2,3,1,1,3,7,1,1,1,5,3,1,3,3,2,2,3,5,2,5,1,6,4,4,3,7,1,3,1,4,3,6,1,2,6,0,6,3,0,3,4,3,1,3,6,4,5,2,4,1,3,5,2,5,2,6,8,5,7,4,3,5,1,3,3,2,4,5,7,1,5,1,3,3,4,5,2,2,0,3,8,2,4,6,4,5,4,0,2,3,3,4,5,4,3,2,4,3,1,1,1,4,4,5,7,2,2,2,3,5,3,2,2,2,6,1,4,2,4,2,3,0,6,4,2,4,2,2,5,5,9,5,3,2,3,1,4,4,2,2,1,3,4,2,4,8,4,6,1,5,3,1,2,5,6,4,3,4,5,1,3,2,2,3,2,6,1,1,5,4,5,0,4,1,3,1,1,4,7,4,4,6,3,3,6,5,5,2,5,4,2,6,3,2,2,7,3,2,5,3,8,3
4,0,4,1,2,4,2,6,3,6,3,4,2,3,5,1,3,2,2,2,4,1,4,4,2,3,3,6,4,5,0,1,2,5,7,3,3,4,2,5,3,4,6,3,6,5,0,3,4,4,1,5,5,0,1,1,1,8,3,2,0,2,4,4,4,5,3,3,1,4,7,6,5,3,1,7,2,2,3,5,4,7,6,1,7,8,3,4,2,1,3,2,3,3,7,7,8,3,3,0,5,3,3,4,5,1,6,2,4,2,2,1,5,5,2,3,0,2,1,2,3,2,4,1,5,5,0,2,4,7,1,4,3,1,5,5,4,1,5,2,3,4,1,4,6,9,2,3,3,5,8,2,3,1,3,1,0,3,2,3,2,2,1,4,2,3,4,2,3,2,4,3,0,6,3,3,5,0,4,1,1,6,10,2,4,3,1,3,6,1,3,3,5,2,3,2,1,1,3,1,4,5,2,2,1,4,3,3,3,1,3,5,3,0,8,1,3,6,2,4,2,3,4,3,2,0,2,6,4,5,3,2,4,1,4,4,2,3,2,1,1,3,2,1,3,2,2,2,2,5,5,5,2,2,1,2
2,4,4,1,4,2,2,0,2,3,1,4,3,2,5,3,1,2,1,5,5,4,4,2,3,1,9,3,3,5,2,2,4,2,1,3,5,2,6,0,1,7,2,4,3,4,1,0,2,4,3,3,2,3,5,5,4,1,6,3,4,4,2,3,3,4,3,4,3,1,2,2,3,6,3,2,4,5,3,4,3,3,5,1,3,2,4,1,2,4,1,2,5,3,3,5,4,4,5,5,5,3,5,2,6,1,1,1,4,1,4,3,4,3,0,3,2,3,4,3,0,2,4,4,0,3,3,3,1,5,7,3,5,4,2,4,2,5,4,3,5,8,5,3,2,3,3,3,0,3,2,1,1,6,7,2,1,4,9,2,2,5,4,1,2,2,2,0,3,2,1,2,4,3,0,2,4,2,1,2,1,4,4,7,1,3,3,2,5,4,2,4,3,3,4,3,3,3,6,3,2,7,3,6,4,3,3,6,3,2,3,1,4,0,2,1,4,4,1,0,2,5,7,2,1,1,3,3,2,3,4,3,3,2,5,1,4,3,6,2,6,5,6,5,1,4,2,2,1,3,4,2,3,2,3,5
1,1,2,3,8,3,2,3,2,1,5,3,1,4,3,3,2,2,4,1,4,4,5,3,2,1,1,1,2,3,4,2,4,4,3,3,5,3,3,2,3,2,2,2,2,3,0,5,2,1,4,2,7,6,7,2,3,4,5,2,3,3,1,1,2,1,5,1,3,5,2,3,5,1,2,3,4,1,2,0,1,2,0,4,5,4,1,4,3,5,3,3,2,4,4,2,7,4,4,2,4,7,4,4,4,1,2,5,1,4,2,3,9,4,4,4,2,2,0,2,5,2,4,3,6,0,2,4,2,3,4,3,0,3,3,5,3,3,3,4,4,3,3,2,1,1,3,5,3,2,1,2,2,1,3,5,1,0,5,3,2,3,1,1,1,6,3,1,3,3,1,3,5,5,3,4,2,3,3,6,4,5,3,8,4,3,4,4,1,0,4,4,2,2,3,2,4,1,2,1,1,2,5,4,5,6,6,2,2,3,3,1,6,2,1,1,3,6,3,5,3,5,3,3,4,3,2,2,4,3,4,2,7,3,3,4,5,3,3,2,1,3,6,9,2,3,0,3,2,5,3,3,1,4,5,8
1,6,2,2,2,4,1,1,3,2,2,1,0,3,3,6,4,6,3,3,2,3,4,2,2,4,2,5,2,4,4,5,2,0,3,4,4,4,1,3,4,4,3,4,5,3,5,3,1,0,0,3,7,4,2,4,3,6,6,6,4,3,2,2,2,3,1,1,0,2,3,1,0,3,3,2,4,0,4,6,0,4,3,1,2,4,5,2,2,8,6,0,2,6,3,2,1,4,4,2,2,1,6,5,4,0,4,1,3,4,4,1,1,3,2,9,4,3,3,4,3,4,5,3,1,1,6,5,3,3,3,4,2,0,2,3,2,3,3,5,4,6,5,4,6,0,2,2,2,4,0,2,1,3,4,4,3,3,3,2,4,5,1,4,5,4,4,4,1,1,4,3,4,2,3,5,6,8,1,4,1,3,3,3,1,7,2,3,4,6,7,3,1,3,2,8,2,4,5,3,7,3,1,5,5,1,9,4,6,2,4,2,1,2,2,4,7,5,7,5,5,7,9,2,3,2,2,3,3,0,9,4,3,4,3,7,4,4,5,7,2,3,5,4,5,2,2,2,3,1,2,4,2,2,1,4
3,11,4,3,2,4,2,2,3,3,3,1,2,2,2,3,6,0,3,0,1,3,2,3,4,4,2,2,4,6,3,3,1,3,0,3,0,7,5,4,2,3,4,2,2,3,0,2,9,0,4,3,9,6,2,3,7,3,6,3,2,6,3,2,6,6,3,6,2,1,4,2,1,5,2,5,4,3,3,1,3,2,3,3,0,1,0,4,1,1,3,5,3,5,3,2,3,3,7,1,4,1,2,1,3,5,4,2,0,3,1,1,2,0,3,4,3,1,2,2,4,4,5,2,4,5,4,3,3,3,1,5,3,2,5,1,3,3,6,0,4,0,2,5,2,7,3,2,2,7,4,4,8,5,1,2,3,2,2,2,3,3,5,4,2,3,4,2,5,4,3,2,4,6,0,5,2,0,0,2,5,6,0,4,2,6,3,0,2,3,0,2,3,0,1,3,5,3,3,2,4,3,0,2,5,5,2,3,4,6,5,3,3,3,2,3,1,6,5,1,3,6,8,3,4,3,3,2,4,3,2,3,3,8,2,4,4,3,3,4,6,2,5,4,5,2,5,3,7,8,1,5,2,3,2,3
4,1,5,1,4,0,1,5,3,3,5,8,2,1,2,4,6,4,1,4,4,5,3,1,3,5,1,4,1,3,3,5,4,0,5,2,4,4,1,2,3,4,2,4,4,6,6,2,6,5,5,5,4,3,3,3,5,1,3,3,5,2,3,6,0,3,2,4,7,2,3,4,4,1,7,2,3,9,1,4,5,3,3,2,2,0,1,3,5,5,2,2,3,1,3,8,2,2,2,4,2,1,4,1,1,1,2,6,5,4,0,6,4,0,0,0,4,2,2,2,4,6,4,1,3,2,6,0,2,6,2,3,1,3,4,0,1,5,6,4,4,4,3,7,4,2,5,3,2,0,3,2,2,3,5,2,4,0,2,3,6,2,1,5,3,1,1,1,3,2,4,2,1,7,2,3,1,5,3,3,1,1,5,3,1,2,6,3,5,5,3,1,2,4,0,5,3,2,4,1,6,2,5,1,1,3,2,4,2,1,2,1,5,4,4,2,5,3,4,4,3,3,4,3,4,5,6,0,2,3,2,3,1,5,1,4,3,4,3,4,3,3,2,2,5,4,3,3,7,2,2,4,2,11,1,2
3,3,2,3,1,4,0,4,5,3,5,1,2,0,4,3,4,3,7,6,2,2,3,1,2,1,1,4,1,5,3,3,3,5,2,4,3,2,3,3,4,4,6,4,5,4,1,1,1,2,6,3,0,5,4,4,3,3,6,7,2,2,4,3,2,5,0,5,2,2,3,2,2,2,2,1,3,1,2,1,4,6,5,5,5,5,2,0,4,4,7,4,4,0,0,4,1,4,1,6,4,2,1,0,3,2,2,6,2,8,2,2,4,2,0,2,0,3,3,1,4,2,1,4,0,3,4,7,5,1,5,3,5,3,2,4,1,5,4,2,5,4,3,3,3,3,4,3,4,7,1,5,2,4,4,2,4,3,2,4,0,4,3,5,4,2,3,1,1,6,1,2,2,3,3,1,3,3,4,3,2,2,2,3,5,3,3,2,5,2,2,4,1,1,3,3,5,4,3,3,3,3,3,3,1,4,1,4,5,2,3,4,3,4,8,1,7,5,5,8,3,3,3,3,4,1,2,3,2,6,2,4,6,1,1,1,1,6,2,3,1,2,1,4,5,2,2,4,1,0,1,2,5,2,2,3
1,2,2,4,4,3,2,4,4,0,3,4,2,6,2,5,1,4,6,3,6,3,2,2,2,3,2,5,8,2,5,5,3,2,4,2,3,2,2,1,4,4,3,3,3,1,3,2,1,3,3,2,5,5,2,1,6,6,4,2,3,4,2,5,6,6,3,1,1,2,3,3,4,2,1,2,1,3,2,5,4,1,5,7,0,6,4,3,3,3,3,4,4,1,5,3,5,5,3,0,2,5,3,5,2,2,3,0,8,4,2,2,3,6,3,8,2,3,2,4,6,1,2,1,3,1,4,4,2,5,4,3,4,7,4,3,2,4,4,2,4,4,5,4,3,3,4,1,2,6,2,0,2,3,0,8,1,4,3,1,4,1,5,3,3,2,2,3,3,3,3,1,4,1,1,5,2,4,2,2,4,6,6,1,1,1,2,3,7,2,5,2,2,6,5,4,4,2,2,4,4,3,2,2,3,5,3,2,3,1,2,0,0,2,8,5,3,3,3,3,2,2,3,4,2,6,6,6,3,5,5,2,4,3,4,3,3,3,2,3,4,3,2,3,2,2,5,3,3,1,7,5,3,4,2,1
8,2,3,4,3,4,4,2,3,4,5,4,5,1,1,1,4,4,1,2,1,5,5,4,6,2,2,1,7,2,4,3,1,2,4,1,7,2,3,2,1,0,5,4,4,5,1,3,1,4,2,0,3,2,2,4,2,5,2,4,4,4,2,4,1,1,2,2,2,2,5,4,3,3,1,4,3,1,4,0,5,3,2,3,5,6,4,8,1,5,3,3,1,5,3,2,1,2,4,4,7,3,2,6,0,6,7,3,0,4,2,2,1,2,5,3,0,3,5,5,3,4,1,7,1,3,0,2,3,3,5,7,3,1,4,2,2,4,1,7,7,3,3,5,2,0,3,9,1,2,3,2,3,4,2,1,4,1,5,4,3,2,3,1,3,1,1,3,2,2,1,5,1,3,5,3,4,2,2,4,0,7,4,4,1,3,4,2,3,2,5,4,5,4,5,4,0,3,2,5,3,4,3,2,2,0,2,3,5,2,1,4,5,2,4,4,6,6,4,2,2,4,1,3,4,4,4,7,2,1,5,3,7,4,2,4,4,4,1,5,1,2,2,1,2,2,2,3,6,5,2,2,3,3,4,2
2,4,9,5,2,7,4,3,4,3,2,5,2,4,3,5,2,1,1,2,5,5,4,5,2,2,1,4,4,5,3,6,4,2,3,3,1,5,3,3,1,2,5,4,3,5,0,6,2,2,5,3,2,2,3,5,1,2,3,3,2,5,2,0,3,3,3,2,2,4,1,1,6,4,3,3,1,2,3,5,4,3,6,1,3,6,2,6,4,5,5,7,6,3,5,2,3,2,2,5,2,4,4,7,2,6,3,8,4,4,0,2,5,4,5,2,5,3,0,2,5,3,2,5,2,1,2,7,1,1,6,1,2,0,2,2,3,6,1,6,6,3,4,4,3,3,4,1,1,1,2,1,3,2,4,4,2,5,1,6,3,3,4,4,2,3,6,1,5,2,2,2,4,3,4,3,1,3,4,2,3,2,7,4,1,3,3,2,4,3,1,2,3,1,3,3,2,2,3,1,2,5,2,4,5,1,5,0,3,3,1,9,4,2,1,3,3,2,7,3,7,4,2,4,0,2,3,4,5,5,1,3,4,3,6,1,8,5,4,3,2,1,1,5,2,3,4,1,1,4,4,6,7,3,5,0
2,4,2,1,1,5,2,0,0,5,4,2,3,0,4,5,6,5,3,8,3,2,6,2,5,6,2,1,5,3,5,4,2,2,6,3,3,3,5,1,1,4,0,5,4,2,4,3,2,1,3,3,2,2,1,1,3,5,6,2,7,3,1,5,5,2,4,0,3,2,5,2,3,2,6,2,6,3,1,7,5,4,2,3,3,3,5,1,2,3,2,6,4,0,2,3,5,2,4,3,4,4,5,2,5,3,4,2,5,4,5,2,2,5,6,3,2,2,2,3,3,6,4,0,1,5,0,2,2,5,6,5,1,3,1,3,2,2,4,1,5,1,3,2,3,1,2,8,1,5,5,6,5,2,2,2,1,4,2,3,2,4,6,1,3,3,5,0,2,1,0,0,1,4,1,4,3,5,5,6,1,5,3,1,3,3,3,3,2,2,1,4,4,5,1,3,0,1,2,2,4,1,5,7,4,4,2,1,3,6,4,2,2,3,1,4,3,7,3,4,5,2,4,2,4,7,1,3,5,4,3,3,0,1,1,1,2,2,5,4,5,2,2,2,3,3,6,1,5,2,0,4,4,2,1,5
3,4,3,5,2,5,6,3,2,3,4,5,3,2,2,3,3,4,1,2,3,4,5,6,7,3,4,6,1,2,2,5,5,3,4,1,3,2,1,2,3,3,3,3,2,3,3,2,3,3,4,5,3,1,4,4,2,2,3,5,1,2,2,3,2,5,1,4,3,3,1,2,4,1,1,2,4,8,3,5,4,2,2,1,3,1,2,6,5,1,1,0,5,4,1,2,4,2,2,2,6,0,2,2,4,5,1,4,3,4,2,3,3,5,3,3,2,7,2,6,3,1,4,2,2,1,3,2,4,4,4,1,4,2,3,7,1,4,2,1,7,2,2,8,3,2,3,5,2,1,0,3,2,6,3,3,3,4,3,3,6,3,2,5,1,2,4,5,1,4,3,1,3,3,4,2,1,4,5,7,3,5,3,1,4,3,3,0,2,0,4,7,3,4,0,2,3,0,4,1,3,1,3,2,3,0,2,2,2,1,5,3,6,4,3,4,5,7,2,3,5,1,5,4,3,4,4,4,2,4,3,4,3,4,3,4,0,4,3,4,2,5,2,3,2,1,3,6,4,5,2,2,3,3,3,3
3,8,1,2,1,1,4,3,4,3,2,2,3,3,2,6,3,4,2,3,3,4,8,0,5,1,1,0,3,6,2,0,0,4,7,3,1,1,5,1,4,2,3,4,2,3,5,3,3,3,2,5,2,1,1,3,3,5,4,1,2,3,5,2,5,3,1,3,3,2,3,2,6,4,2,4,5,2,4,1,4,4,2,8,2,4,2,4,0,6,1,4,2,5,3,3,3,3,3,3,5,6,1,2,3,1,0,3,1,1,1,2,1,4,6,1,5,4,4,9,3,8,3,2,3,9,4,1,0,4,7,2,4,4,4,0,2,4,5,2,2,2,6,2,4,2,3,0,1,3,1,4,1,3,2,3,1,5,3,1,4,6,5,3,4,4,5,0,4,2,1,2,2,4,1,2,3,1,1,2,0,5,5,3,4,4,2,4,3,0,0,5,5,4,3,3,3,3,2,6,2,2,4,1,2,3,2,4,2,4,1,1,3,1,3,1,4,4,1,3,3,6,1,5,1,3,5,2,1,5,3,3,3,5,3,5,3,2,1,3,6,2,4,1,2,3,4,5,4,4,2,1,6,2,6,5
6,2,3,6,2,4,3,4,3,5,5,0,3,3,6,7,3,5,4,4,2,2,3,2,3,1,1,4,4,4,1,4,5,4,5,2,4,5,4,4,4,2,4,6,7,6,3,7,5,3,1,3,6,1,4,3,7,3,3,3,0,3,3,4,2,3,2,3,2,5,5,3,1,4,3,6,3,3,5,4,2,4,3,2,3,3,6,3,1,5,2,3,4,7,2,1,2,2,7,3,8,3,3,3,2,5,5,0,2,2,1,1,5,2,2,1,3,3,3,2,2,4,7,3,6,2,3,3,0,3,5,2,1,4,1,0,5,2,3,1,1,2,2,1,1,2,5,2,1,2,2,1,1,0,3,1,4,4,3,2,4,4,3,3,2,6,2,6,2,3,4,3,3,1,2,4,4,2,2,1,1,1,5,1,3,3,1,4,5,3,3,3,1,2,3,4,5,3,1,3,5,3,3,4,8,5,1,6,3,3,3,2,3,3,2,1,4,3,4,2,4,4,6,4,6,3,3,4,4,1,3,0,3,3,2,4,5,5,2,3,2,3,4,0,4,2,2,3,5,2,2,2,1,5,2,2
3,2,5,3,2,3,1,2,1,3,1,3,2,3,2,1,6,2,2,1,3,4,2,6,1,3,2,3,1,8,4,2,0,4,2,3,3,6,6,2,1,4,3,2,1,1,3,2,1,2,2,5,2,4,5,6,1,2,2,4,9,6,2,2,3,1,3,5,2,0,1,2,2,1,4,2,1,4,1,6,3,2,2,5,4,5,2,4,4,3,1,4,4,1,2,1,1,1,5,3,2,2,3,1,2,2,2,2,4,3,5,2,1,1,1,2,3,2,3,0,3,5,6,6,1,3,5,2,2,5,3,5,3,3,4,4,3,1,0,4,2,1,3,2,4,8,4,3,3,3,3,4,7,2,3,0,3,1,2,3,5,5,3,0,4,1,3,1,2,1,3,4,3,3,0,2,2,2,0,6,3,6,4,1,5,3,6,3,3,1,2,3,4,2,1,4,1,3,3,2,2,1,5,5,1,5,4,4,3,5,5,1,2,3,1,4,2,4,3,2,5,5,3,3,5,6,4,1,3,3,2,1,4,6,6,0,5,0,3,2,6,6,1,5,0,2,6,3,3,4,3,4,3,3,4,2
4,4,2,0,3,0,2,2,1,3,4,1,3,5,3,3,0,7,1,2,3,3,5,3,0,4,3,2,1,3,2,1,1,1,1,0,3,2,2,3,2,6,5,4,2,1,4,3,1,2,2,1,3,2,3,4,7,3,3,5,4,3,6,1,2,2,1,1,0,3,3,2,2,6,3,4,3,0,4,1,5,4,4,0,1,2,3,6,0,6,0,4,3,1,2,5,3,5,2,2,2,2,3,4,2,4,1,8,2,2,2,1,3,3,5,3,2,1,6,1,3,5,2,5,2,6,7,5,1,2,1,2,2,7,4,3,4,1,5,3,3,2,2,7,4,5,5,3,2,4,3,4,7,2,6,7,2,3,5,2,7,3,4,3,2,4,5,3,2,4,3,0,2,3,6,2,1,6,4,1,5,5,0,1,2,6,3,2,2,0,4,5,6,3,0,2,2,0,4,2,2,1,3,2,5,1,2,2,1,5,2,5,2,5,4,1,3,3,3,3,3,2,3,4,4,1,3,2,0,6,5,6,6,0,2,4,2,4,1,2,4,3,3,2,2,6,5,2,0,1,2,5,2,1,2,6
5,4,3,3,1,0,3,2,1,5,3,4,3,2,3,4,2,3,5,2,4,3,3,4,5,2,1,4,3,2,3,3,3,3,0,4,3,2,4,5,4,3,5,4,3,2,4,5,5,6,2,6,2,4,3,2,4,2,1,2,4,0,2,3,3,6,6,4,0,4,4,1,5,6,0,2,3,2,4,2,6,3,5,2,3,1,3,3,3,1,6,2,1,2,3,3,2,4,1,2,0,6,3,3,0,1,3,1,2,3,4,2,1,3,2,3,2,2,3,1,2,1,5,2,5,3,5,4,5,7,4,8,6,5,3,2,2,1,5,5,2,2,6,0,2,5,3,1,7,3,7,6,0,3,5,4,5,1,2,1,3,5,5,3,6,6,2,6,2,3,1,2,2,3,2,5,2,4,4,4,5,2,5,5,4,3,6,2,4,4,3,3,2,1,2,5,6,1,2,3,1,2,5,5,3,6,1,1,2,1,3,0,2,5,3,4,5,3,4,3,2,8,4,5,4,7,2,2,1,4,3,3,3,3,3,2,5,4,3,0,8,3,2,2,2,2,5,3,3,4,3,3,6,2,2,4
1,3,0,2,2,1,1,4,3,2,4,5,4,3,1,4,2,1,3,0,5,2,3,2,4,4,4,1,5,2,5,1,2,3,0,5,4,3,0,3,1,6,6,3,2,5,4,3,4,1,4,3,5,2,3,5,6,5,3,1,7,3,2,2,3,1,5,4,5,3,4,3,1,1,4,7,4,2,2,2,2,4,3,5,3,2,2,4,2,2,2,3,3,3,2,6,2,0,5,3,2,3,4,4,4,4,5,1,2,7,1,2,6,3,0,6,1,1,6,5,3,0,3,3,5,2,3,6,5,1,4,3,4,4,4,2,3,5,6,5,3,2,3,3,4,4,8,5,3,6,3,1,1,3,1,3,4,4,3,5,4,3,7,5,2,3,3,2,5,1,3,3,3,5,2,3,5,4,1,5,0,6,1,2,4,4,4,2,7,2,0,7,5,4,8,3,2,2,5,3,5,1,7,4,4,8,1,4,2,4,3,1,4,2,5,3,4,2,5,6,3,2,1,3,4,4,1,5,2,0,4,2,3,2,2,2,2,3,4,5,5,5,7,1,1,4,2,2,2,0,5,2,4,1,2,3
2,6,4,3,1,4,3,3,1,1,5,2,1,1,3,5,1,6,6,4,3,2,6,1,2,2,0,7,5,3,1,4,6,3,1,1,3,1,8,4,1,3,8,5,2,5,5,4,3,3,6,6,4,4,2,1,3,3,7,1,2,5,3,2,1,3,2,3,4,5,3,1,4,7,4,3,2,4,2,0,4,2,3,6,0,3,1,5,3,6,5,4,1,5,4,6,3,2,1,5,2,3,3,2,3,3,6,1,3,0,2,1,4,2,2,3,6,1,4,3,0,1,4,3,6,6,1,4,7,3,1,3,4,3,3,2,3,5,4,3,1,5,3,5,3,4,2,4,3,2,6,3,10,4,2,3,2,2,3,3,6,4,2,2,6,6,4,2,1,2,1,3,5,1,2,5,4,2,1,1,1,1,1,3,3,3,4,7,5,3,2,4,2,8,5,7,1,1,2,3,4,2,2,7,3,5,2,5,1,7,4,3,3,2,2,5,4,3,0,2,6,4,6,3,1,0,4,4,6,9,7,6,5,1,3,2,3,3,3,5,3,7,3,7,1,3,4,3,3,2,4,5,2,5,2,3
2,1,2,4,5,4,4,2,4,2,3,3,3,1,3,2,4,2,2,4,6,4,4,2,2,4,2,3,4,2,10,0,5,6,3,1,3,4,1,2,2,0,8,2,3,4,2,3,2,4,2,1,4,7,3,4,5,3,4,5,3,6,2,4,3,7,0,6,0,5,2,3,2,0,2,0,1,3,4,3,2,4,6,4,1,2,3,5,0,4,2,4,5,2,2,7,0,3,2,2,4,5,3,1,6,2,3,2,2,3,5,4,2,1,5,3,2,2,5,6,3,4,4,7,1,4,3,4,3,5,4,4,4,2,2,5,1,4,4,4,5,4,3,2,2,4,4,1,3,5,2,2,5,2,0,0,3,7,3,1,4,1,1,3,3,5,2,2,5,3,1,3,2,3,4,4,5,3,2,2,4,3,3,5,5,1,3,0,8,3,4,4,0,2,3,4,2,5,5,2,4,2,2,2,6,3,1,4,3,3,4,2,4,4,4,4,3,0,1,5,4,4,6,3,6,1,5,3,0,4,2,3,4,2,1,1,0,3,5,2,1,4,3,3,5,2,1,6,4,3,1,4,4,0,1,1
2,5,2,3,2,1,3,5,4,4,2,1,3,3,4,0,5,5,6,3,8,2,2,5,1,6,3,2,4,8,3,2,2,2,5,2,4,2,1,3,5,5,2,7,4,4,3,2,6,2,6,2,4,3,4,2,3,3,5,0,3,2,4,1,4,0,3,3,1,3,3,4,9,2,4,1,3,2,0,1,2,6,6,8,1,4,1,6,0,5,3,0,2,3,2,5,1,3,1,3,2,1,1,7,3,5,3,4,1,2,5,5,1,2,3,6,5,5,4,7,2,2,0,5,1,6,2,0,4,2,4,8,2,1,2,4,2,3,1,3,2,5,1,4,2,4,6,3,1,4,2,3,3,2,2,2,1,3,6,2,3,3,7,1,4,4,5,9,4,2,2,3,1,6,2,5,3,2,3,0,4,2,1,0,5,2,6,4,2,5,3,4,5,5,2,1,5,8,2,2,5,4,5,2,3,5,0,2,8,4,0,2,4,3,7,5,1,1,3,2,4,7,2,1,4,2,4,4,2,2,3,1,5,6,5,2,5,5,3,2,2,3,2,4,9,0,5,1,4,2,7,6,2,2,2,0
2,5,4,2,2,3,3,2,6,4,3,3,8,2,5,1,2,5,2,3,2,0,2,2,3,1,3,4,6,9,2,5,4,4,3,2,2,4,2,0,4,2,2,5,2,2,5,3,5,3,2,7,5,4,0,3,4,1,3,1,1,7,1,5,2,3,3,3,1,2,2,1,6,7,2,1,7,3,3,3,2,6,4,1,1,3,3,4,1,3,2,2,3,5,3,1,3,3,4,2,3,1,5,3,2,2,3,2,3,2,6,1,2,3,5,1,4,1,3,1,2,5,2,1,3,2,4,5,0,2,3,2,1,3,1,1,0,1,7,7,6,5,1,6,2,2,2,6,0,3,5,1,3,2,1,3,4,5,3,2,5,7,4,4,5,2,3,4,2,1,5,5,1,4,2,4,1,3,3,4,2,3,4,2,4,6,4,7,1,5,6,3,4,1,5,1,5,3,2,7,6,1,4,3,2,2,2,3,2,1,2,3,2,3,5,3,7,5,2,3,2,2,4,2,2,7,2,3,2,6,4,1,2,6,4,0,4,4,2,4,3,5,6,5,1,5,5,3,3,3,6,7,4,3,4,2
1,2,3,3,5,7,2,9,2,4,3,4,6,4,3,2,1,1,4,3,0,3,0,4,2,4,3,1,1,5,4,7,6,2,2,2,2,2,3,4,4,1,1,0,1,6,2,2,3,4,3,2,2,4,2,2,3,8,4,3,1,3,4,8,2,4,5,4,3,2,2,5,4,6,5,2,5,0,2,2,5,4,2,2,3,6,1,4,3,2,0,3,1,6,1,2,4,2,2,4,2,1,2,4,2,5,5,1,3,1,3,1,2,2,3,2,5,3,5,2,2,1,3,7,3,5,6,3,1,0,2,3,3,6,3,3,3,1,2,2,3,3,3,6,7,5,2,2,5,4,3,1,5,3,3,1,3,3,4,5,2,0,1,4,5,1,1,0,6,2,3,6,3,1,0,4,3,7,5,4,4,4,2,1,4,2,2,2,0,3,9,4,5,3,1,4,1,2,7,5,1,4,1,6,4,5,7,2,2,3,3,1,3,6,5,3,4,2,1,3,3,4,7,5,0,1,3,2,3,3,2,2,3,3,3,3,2,1,4,7,6,7,3,5,1,2,2,4,2,2,6,3,5,2,1,2
5,2,1,1,3,2,2,2,2,9,4,4,1,1,4,3,2,6,2,7,4,2,2,2,2,4,4,3,3,3,5,3,2,1,3,1,3,4,2,1,6,3,3,0,2,6,0,2,0,1,4,2,1,4,3,4,3,7,1,5,3,3,0,6,6,4,5,6,2,3,2,5,2,2,0,4,1,3,3,4,2,4,4,2,5,1,1,1,2,2,5,0,6,5,2,4,3,4,0,4,5,2,5,3,0,5,3,3,2,1,3,4,3,4,3,2,6,2,9,1,2,2,2,6,4,6,6,2,4,3,1,4,3,4,4,4,8,4,1,1,2,3,3,1,1,1,2,1,3,7,2,4,4,4,2,3,0,4,4,2,2,3,1,1,6,1,5,6,2,3,0,5,3,4,1,2,3,2,0,2,4,3,1,4,4,2,1,2,3,3,4,6,4,0,7,1,4,0,3,0,6,8,2,5,2,3,1,1,4,4,4,2,0,4,1,2,5,3,1,3,5,2,4,3,6,4,3,4,6,2,4,1,2,4,1,1,2,4,4,5,4,0,3,3,1,5,4,8,4,5,5,3,6,2,3,3
3,4,3,7,1,4,1,4,1,4,4,0,2,1,4,1,3,5,4,1,1,2,2,4,1,6,1,3,6,2,3,3,0,1,2,0,2,2,4,5,1,5,2,7,5,6,4,1,4,3,2,3,4,2,2,1,4,2,4,1,3,2,3,2,3,7,7,0,1,5,4,4,4,5,3,2,0,2,3,4,2,4,6,6,1,2,4,3,3,0,3,2,4,3,4,7,1,0,4,2,4,5,3,3,6,4,4,2,5,1,4,5,4,3,1,2,2,6,2,2,4,3,2,3,9,1,6,2,2,4,4,3,4,4,2,4,0,2,3,6,1,6,5,0,5,4,2,2,3,2,3,3,7,4,5,0,3,1,1,7,1,2,0,5,2,1,4,5,2,1,1,1,3,3,2,4,2,4,2,5,0,4,5,3,2,3,1,0,3,3,4,3,3,5,0,1,0,6,5,8,4,4,6,3,4,4,3,1,2,2,5,1,4,5,3,5,4,3,2,2,2,3,3,2,3,5,1,5,5,4,3,5,0,3,2,5,2,2,3,3,2,4,8,6,1,2,4,3,4,4,3,7,3,3,4,1
2,3,2,6,3,6,2,4,4,2,5,7,5,3,3,7,3,5,1,2,3,1,3,2,4,4,2,1,3,3,0,4,4,3,3,4,6,3,3,2,1,0,3,6,5,4,4,3,2,5,4,6,2,4,5,4,4,4,3,4,0,4,1,3,1,5,8,5,2,3,2,0,2,3,4,5,7,2,4,3,4,2,2,5,3,3,3,4,3,2,4,4,3,3,3,1,2,1,2,1,4,3,4,1,6,4,5,3,6,4,5,5,2,1,2,2,1,4,1,5,5,1,2,1,1,5,5,2,5,4,4,2,2,3,3,2,4,1,4,7,1,3,0,4,2,3,8,3,3,3,4,3,5,6,6,0,2,6,5,1,4,4,5,5,6,2,7,4,4,1,2,6,0,4,4,5,3,4,1,1,2,2,3,2,2,4,2,4,5,2,5,1,3,2,3,0,3,3,2,3,3,0,3,0,3,4,4,0,2,1,3,5,4,2,4,6,5,2,0,2,3,6,4,1,1,6,0,4,7,4,4,1,4,4,3,1,6,3,4,2,4,3,1,5,1,2,2,2,2,4,1,3,4,4,0,6
1,3,3,1,1,3,1,6,1,2,5,2,2,1,4,2,3,4,4,4,2,6,2,3,1,2,0,1,3,3,4,3,4,3,6,1,7,1,2,3,3,5,5,4,0,2,4,2,5,0,2,5,1,0,3,1,2,3,2,5,2,2,4,1,0,4,3,5,5,4,0,5,6,2,2,3,1,5,3,1,0,2,4,6,2,3,6,3,1,5,1,5,3,5,1,4,1,0,1,2,2,5,3,6,5,3,8,1,4,1,3,0,5,4,3,6,3,2,1,7,3,7,4,3,4,1,2,2,1,3,6,4,2,2,1,3,3,4,1,3,5,5,4,4,2,4,3,2,0,2,5,1,4,3,1,5,8,3,4,6,4,2,5,5,1,4,5,4,5,6,3,6,1,3,3,2,3,3,5,8,2,3,2,2,2,7,1,1,5,3,2,5,2,1,5,3,2,3,3,3,2,2,4,3,2,0,2,0,1,3,4,4,6,3,3,0,1,1,5,5,3,1,6,3,3,1,2,4,3,2,4,2,0,4,2,4,4,1,3,3,2,4,4,1,4,4,3,3,3,1,3,6,6,3,6,1
2,0,1,4,3,3,1,4,1,7,1,2,3,4,7,2,1,2,2,1,3,3,2,4,2,3,1,4,4,2,5,5,4,5,1,1,3,0,5,4,3,4,3,4,1,2,4,2,8,3,3,3,3,1,2,1,4,1,6,2,0,4,9,3,3,2,3,4,6,3,0,7,7,2,5,1,3,5,5,5,6,1,4,5,3,6,2,4,2,0,5,2,3,4,3,3,4,4,6,2,3,3,1,6,8,0,3,3,1,4,4,8,7,3,3,4,7,3,0,2,4,2,4,5,2,5,4,4,3,3,1,5,1,3,1,5,6,2,0,2,5,2,3,5,0,5,4,1,10,2,7,3,6,6,6,2,4,4,3,3,5,0,3,6,1,0,2,4,1,2,1,0,3,3,11,5,2,2,4,6,1,2,3,5,1,2,3,4,2,4,2,5,4,3,3,1,4,1,6,3,3,1,0,2,5,4,6,3,2,4,6,4,1,4,1,4,5,2,3,2,1,3,1,1,5,0,4,0,4,4,2,4,2,1,1,1,2,2,1,3,5,3,2,7,4,2,6,1,1,4,2,4,4,3,2,4
5,3,2,2,6,4,4,3,2,6,1,1,1,2,3,3,3,1,0,2,4,1,2,1,2,2,1,4,1,1,3,7,5,3,3,0,2,3,2,6,3,1,0,3,1,0,3,5,0,1,1,3,2,4,2,4,4,3,2,2,2,7,6,6,3,2,3,3,4,3,6,2,6,2,4,5,0,5,2,2,4,3,2,3,3,5,2,8,1,4,5,3,8,2,2,5,0,4,4,3,0,1,4,9,8,6,4,6,2,0,2,3,1,2,3,2,6,2,2,1,2,2,4,3,4,2,3,1,6,4,3,1,4,6,0,3,2,5,2,3,2,5,3,0,3,3,3,3,5,0,2,4,5,5,6,4,5,3,4,4,1,2,2,1,2,1,2,5,2,6,5,3,3,3,2,4,1,7,5,4,5,8,4,4,4,1,3,4,4,1,2,2,3,4,2,2,3,1,2,0,2,4,6,4,4,3,4,2,10,2,1,3,5,2,1,2,3,2,2,1,2,6,1,1,2,5,3,2,4,1,4,5,3,2,3,0,2,2,2,5,2,2,3,5,2,9,2,5,2,2,5,4,3,6,1,4
4,2,1,6,4,2,1,2,2,1,5,2,3,5,4,2,5,3,4,1,2,9,2,2,3,5,2,4,5,3,1,3,7,3,1,5,3,4,4,3,0,4,1,4,2,4,4,5,1,4,2,5,6,4,4,4,1,2,1,3,3,4,3,5,3,3,7,4,3,3,3,2,3,3,2,2,4,5,3,2,2,3,4,2,4,2,10,3,4,4,3,3,4,1,1,6,2,3,5,6,1,1,3,3,3,3,2,6,5,6,1,3,1,3,5,3,2,6,1,5,8,3,0,6,3,4,8,4,2,3,2,0,1,3,5,3,4,5,2,3,2,1,4,0,3,7,3,2,6,4,3,3,2,3,2,3,1,2,4,1,5,4,3,4,7,5,5,5,3,1,4,3,3,4,2,1,3,3,1,4,6,4,2,3,3,3,4,3,5,4,9,1,3,4,3,5,4,2,4,0,2,5,3,2,3,4,4,3,1,2,3,2,2,0,3,1,4,3,7,6,1,5,6,6,4,4,2,2,2,5,3,1,8,2,3,0,4,4,6,2,3,3,1,5,2,2,2,0,3,0,4,5,4,1,4,5
1,3,2,3,3,5,6,3,4,3,2,3,3,5,1,3,3,5,0,2,3,4,3,5,5,4,1,5,5,4,1,3,1,1,4,4,9,2,2,3,1,3,4,3,3,1,2,1,2,1,2,1,5,3,5,2,4,3,1,3,4,1,8,4,1,5,2,4,4,1,6,2,2,4,1,7,1,2,3,1,6,3,2,3,2,4,4,0,6,4,5,5,6,2,4,0,5,3,3,1,4,4,4,4,2,5,2,1,4,7,3,0,4,1,6,2,2,7,7,5,3,4,5,3,3,5,0,4,6,3,6,5,4,5,4,3,2,3,4,1,3,3,5,2,2,5,1,7,6,3,2,1,5,5,1,4,4,0,3,3,4,0,8,2,2,3,2,5,2,2,4,2,7,2,2,2,7,1,2,6,4,1,6,3,0,1,3,4,2,4,4,4,6,5,3,5,4,3,1,3,5,3,4,6,4,2,4,1,2,3,2,5,0,2,3,2,3,6,4,3,3,2,1,2,4,5,6,3,1,2,1,4,1,8,5,4,3,5,1,4,1,1,0,6,1,5,2,4,2,3,2,5,3,5,5,4
2,8,6,2,3,3,1,3,1,5,6,4,2,3,2,3,5,4,3,4,5,5,3,4,4,3,5,5,2,2,1,2,4,4,3,8,3,3,2,5,2,0,2,3,1,3,3,5,0,4,1,3,2,4,3,6,3,4,4,7,5,4,3,2,3,4,1,6,4,5,5,8,3,1,1,2,2,4,1,0,3,5,6,1,1,7,0,1,4,2,4,4,5,0,6,4,1,4,1,4,2,3,2,3,4,4,4,6,2,3,7,5,4,0,4,1,8,3,3,5,1,2,2,2,3,4,4,5,0,4,3,2,0,3,2,3,5,2,2,2,3,5,5,2,3,4,3,3,2,7,3,4,1,8,2,3,5,3,5,4,6,0,5,2,3,4,1,3,2,1,4,0,3,3,2,2,3,4,4,4,1,4,3,3,1,5,4,4,5,6,4,2,2,3,2,3,2,2,3,4,5,2,3,5,3,3,4,1,5,1,4,3,3,2,3,2,5,0,2,4,2,3,1,1,2,4,7,3,4,3,5,6,4,0,3,3,0,8,4,3,3,2,1,4,2,3,4,3,6,1,5,3,0,3,1,4
4,4,2,1,2,4,3,1,1,2,2,3,1,4,6,0,1,3,5,3,5,1,3,1,1,3,3,4,4,3,4,6,3,2,2,1,7,4,2,2,4,3,5,5,0,3,6,4,2,3,4,4,0,4,1,2,3,4,3,1,3,5,4,3,1,1,3,4,2,2,1,6,2,2,1,3,8,0,2,6,3,3,4,5,1,2,2,4,1,2,2,3,4,1,6,2,4,1,3,5,3,3,3,4,1,2,0,3,2,3,5,6,4,1,6,3,2,6,10,2,1,2,0,4,1,6,3,2,3,3,3,5,3,2,3,5,5,4,6,3,4,1,4,4,3,4,4,3,2,0,3,4,2,2,4,3,6,4,3,5,2,2,4,1,3,2,4,1,6,4,4,3,3,4,2,1,1,1,3,4,5,4,2,3,3,2,2,3,3,3,7,8,0,1,3,3,3,0,4,5,8,5,4,3,3,1,3,3,3,0,4,6,1,3,1,6,3,0,5,3,5,3,0,3,8,3,3,1,2,4,1,5,2,1,8,6,5,5,3,1,2,3,3,0,4,5,3,5,2,6,4,1,4,2,2,4
2,1,5,6,4,3,1,3,1,3,3,0,6,4,1,1,6,3,4,1,1,1,1,6,5,4,1,2,3,2,1,6,3,4,2,0,3,7,3,1,2,2,1,2,1,4,7,5,2,4,2,9,2,2,6,2,2,5,3,3,8,4,8,4,1,2,1,5,4,1,3,0,3,1,1,3,1,2,2,5,0,3,4,2,1,2,4,6,2,4,6,5,4,0,1,5,1,8,2,3,7,4,1,3,4,4,0,5,2,2,3,0,2,2,5,1,4,2,5,1,1,3,5,4,5,2,3,4,4,3,3,6,4,7,3,5,7,3,2,4,2,2,3,7,3,4,8,1,1,1,2,5,3,2,2,3,4,1,2,0,2,1,2,2,1,6,5,2,1,2,2,2,4,3,3,0,7,5,5,1,4,2,3,3,4,2,4,0,4,2,0,1,5,2,6,1,2,6,3,5,3,4,3,5,3,5,3,4,3,0,2,3,0,7,2,1,2,5,2,1,1,2,4,4,5,3,3,3,1,4,3,3,6,4,2,3,0,3,0,5,2,1,3,5,5,3,3,6,3,3,2,1,5,1,5,2
1,2,4,9,1,2,1,2,4,1,2,6,3,4,3,5,1,4,1,2,7,6,3,4,1,5,0,4,0,1,0,2,4,3,3,0,2,0,4,5,1,4,2,7,5,3,6,1,0,3,2,2,3,4,3,6,2,4,3,2,4,1,1,0,2,2,1,4,3,4,8,2,4,5,2,6,3,2,2,5,6,4,3,1,2,4,3,4,6,3,2,2,3,3,3,7,4,3,4,5,3,7,3,3,4,3,4,3,5,2,5,0,6,3,2,0,2,0,2,3,5,1,6,3,2,2,4,8,5,3,1,5,1,1,2,3,2,2,4,0,7,2,5,1,1,4,1,2,3,1,8,2,0,6,2,1,1,4,1,4,4,3,2,4,5,5,4,4,3,2,6,5,2,5,1,2,3,2,1,1,3,2,3,2,2,3,2,1,4,3,3,3,1,4,9,5,3,4,5,4,0,1,2,4,6,1,2,3,3,3,7,2,3,5,5,2,1,3,1,2,5,5,4,4,3,3,3,3,3,3,4,5,4,2,3,1,3,7,3,1,5,2,5,9,3,3,2,3,3,2,2,1,2,2,1,4
6,3,1,0,5,2,3,2,2,5,2,4,5,4,3,6,4,1,4,3,4,3,3,1,4,2,6,4,5,4,2,2,3,5,1,3,6,2,7,3,3,4,2,0,3,6,2,2,4,4,2,1,7,0,1,2,3,6,4,2,6,2,3,2,2,3,0,3,1,5,1,4,1,4,3,3,3,3,3,4,3,1,6,5,1,3,3,5,4,2,3,2,3,3,6,3,5,2,0,2,2,4,4,3,3,7,3,1,2,1,1,1,4,2,0,1,1,5,4,4,2,3,5,1,4,4,9,1,4,0,2,5,6,5,4,1,1,3,3,3,5,3,9,4,8,4,1,1,5,2,2,5,2,3,5,7,0,4,9,1,0,4,1,8,3,2,3,2,6,4,2,2,2,3,6,5,5,2,4,3,2,2,3,2,0,6,4,4,6,2,7,3,1,3,0,8,5,5,6,4,4,1,3,3,5,2,1,4,4,3,3,3,4,2,1,3,2,3,2,2,4,2,3,4,6,2,4,0,6,2,0,3,3,1,5,5,5,1,5,3,5,4,5,4,1,3,4,3,0,1,3,1,0,3,5,1
4,2,3,3,3,0,10,6,4,4,5,4,2,1,2,1,1,2,4,5,1,2,4,5,3,5,4,3,2,3,4,2,2,6,6,4,1,3,2,3,1,0,4,4,7,5,4,4,2,5,7,5,2,5,3,3,1,5,4,0,1,3,3,4,4,0,4,6,3,4,3,8,3,3,6,3,1,2,2,5,4,5,6,2,5,4,4,3,3,5,4,3,0,2,0,1,1,2,5,1,6,3,3,3,5,0,1,2,2,2,4,6,1,2,3,3,1,5,3,3,3,4,2,2,3,4,5,3,1,3,3,6,5,2,4,3,2,6,4,3,2,3,1,1,4,3,4,6,2,7,3,3,3,3,6,4,4,1,4,2,3,5,2,1,5,6,1,3,2,4,1,3,3,0,1,3,2,2,7,4,8,3,5,3,6,1,4,2,5,2,6,1,5,5,2,4,4,2,1,7,3,0,2,1,4,7,3,4,4,2,0,2,2,5,6,4,4,6,3,6,3,4,2,4,3,3,4,2,3,3,4,3,1,3,3,1,5,3,3,0,3,2,1,4,4,4,4,1,4,3,6,3,4,1,1,4
1 1 3 2 0 2 4 2 3 4 0 5 2 6 1 8 4 5 1 1 4 3 3 1 5 0 4 3 6 3 1 0 4 3 2 4 0 4 2 2 1 3 2 6 3 2 4 2 3 5 4 2 2 5 8 2 3 9 1 1 2 7 1 2 5 4 2 3 0 1 3 3 3 3 5 0 3 3 10 5 4 2 2 3 4 1 2 3 4 5 4 4 1 4 3 1 2 3 2 3 4 5 5 2 4 1 5 0 3 7 1 2 0 0 4 2 3 5 3 0 2 2 3 4 3 3 3 3 1 5 3 7 7 2 3 5 4 6 1 5 5 5 3 2 8 2 2 2 3 2 3 5 2 5 4 0 4 7 5 4 4 3 3 2 3 2 1 4 0 2 4 3 3 2 2 1 4 2 3 4 2 2 1 1 0 1 1 2 0 1 0 1 3 4 2 1 0 1 5 3 2 5 2 3 2 7 2 5 3 4 2 5 2 1 3 5 1 2 2 3 5 1 2 0 0 8 1 2 2 2 2 6 6 3 1 5 1 2 4 4 5 2 6 0 3 2 2 2 4 3 2 4 2 11 4 7 3
2 2 3 1 1 5 2 3 3 2 1 8 3 1 0 4 2 4 1 3 2 2 3 1 1 5 3 3 4 1 2 3 2 3 0 3 2 1 3 2 1 4 2 3 3 1 4 2 1 0 2 1 1 1 4 4 5 3 8 1 3 1 3 2 2 3 5 4 2 5 5 2 1 6 3 0 0 3 0 3 2 1 2 3 1 6 2 2 1 0 7 5 6 3 2 6 3 2 4 1 3 1 1 4 4 1 3 6 2 7 5 5 3 7 7 4 0 4 3 3 1 3 3 6 3 5 1 4 3 1 4 0 2 4 2 3 0 1 4 2 4 0 4 3 4 0 2 2 3 2 1 2 3 2 0 1 1 6 4 3 3 3 3 2 5 3 2 1 5 1 3 3 5 4 4 5 0 4 3 1 3 1 1 1 1 1 1 1 1 3 2 2 1 0 0 1 1 3 1 1 4 2 7 1 6 3 5 4 1 1 6 6 3 4 3 5 3 0 1 1 1 4 2 3 0 6 6 5 4 4 3 6 2 4 3 4 3 5 5 1 2 4 3 6 1 3 4 7 0 7 3 6 4 4 1 7 5
3 3 5 2 2 3 3 1 3 2 3 2 4 2 4 3 6 1 3 7 3 2 1 0 4 6 2 2 2 2 5 2 3 3 2 3 4 2 3 2 6 3 1 4 3 5 5 3 3 1 3 6 2 6 5 4 5 9 7 2 1 4 7 3 3 5 4 4 2 3 4 2 6 0 2 4 4 4 1 2 4 4 9 2 2 4 4 8 3 1 6 4 3 4 4 5 2 5 2 3 5 7 3 4 2 3 2 1 4 3 5 2 3 3 4 2 3 3 9 1 4 3 3 5 3 6 4 1 3 5 1 3 5 0 4 3 1 0 2 6 3 2 1 5 4 7 4 4 3 4 2 2 6 2 2 5 2 4 2 1 3 4 6 4 3 4 3 4 2 7 3 2 3 3 2 8 3 4 2 3 4 2 1 1 1 0 1 1 1 3 0 3 0 2 2 5 0 1 4 3 1 2 2 5 5 2 6 1 3 5 3 2 0 5 4 3 3 3 5 3 5 5 4 3 4 4 5 3 1 4 1 7 5 5 4 3 3 3 5 1 3 3 2 0 1 3 2 4 7 2 2 4 2 5 5 6 1
4 3 4 3 2 3 5 4 5 3 1 4 3 6 2 0 2 2 1 1 4 4 5 2 3 1 2 3 2 2 2 2 2 2 5 0 4 3 4 2 5 2 1 8 2 7 2 4 6 4 4 0 0 3 3 7 4 7 1 3 1 1 2 3 4 5 3 4 1 1 3 2 4 1 7 2 2 2 4 5 4 1 2 1 3 1 4 2 3 2 0 2 7 6 4 5 3 4 6 3 2 2 2 4 3 4 6 4 3 2 1 5 4 2 0 1 0 3 2 1 0 6 2 1 5 1 7 2 1 1 3 9 3 1 1 8 5 2 3 5 2 1 2 4 3 4 1 4 3 9 3 3 4 3 5 1 1 6 4 6 4 3 8 6 2 5 8 1 1 5 1 2 2 5 5 1 0 3 4 3 1 0 0 0 1 2 0 0 0 1 1 0 2 0 4 2 1 3 2 5 2 2 2 2 4 4 3 5 4 3 2 1 1 1 3 1 6 1 3 4 6 1 4 6 1 5 2 7 4 3 2 4 4 2 4 3 4 5 2 5 5 0 3 2 4 0 7 3 1 4 1 5 3 4 2 3 2
5 2 3 0 2 3 0 3 2 4 2 0 2 4 12 1 3 7 4 5 3 1 2 3 5 4 4 3 0 4 6 3 4 5 4 3 3 6 2 0 9 1 6 4 2 2 4 5 7 4 3 3 5 3 1 6 4 1 1 2 1 1 6 5 1 2 5 2 3 2 2 5 2 0 3 5 3 1 3 6 2 2 2 4 4 3 6 1 2 5 6 4 5 1 7 2 3 2 6 5 7 3 2 5 4 1 1 3 3 2 2 1 5 3 2 2 2 3 4 0 4 5 1 2 4 4 0 2 1 4 5 4 3 3 3 4 3 0 4 3 0 3 3 6 2 2 3 0 1 4 2 2 2 3 5 3 4 6 7 4 1 1 3 4 3 2 3 5 4 4 2 3 0 4 2 0 3 3 1 1 0 2 1 0 0 2 1 1 0 1 3 3 1 0 2 3 4 3 9 0 1 3 0 0 1 1 3 3 4 4 5 1 3 3 3 2 5 2 0 1 4 3 2 0 4 0 7 7 3 1 2 3 1 5 1 2 2 3 7 4 5 4 3 3 4 1 4 5 2 3 1 3 4 1 7 0 4
6 3 6 6 1 2 5 3 4 7 2 2 3 1 2 3 3 4 4 3 5 5 3 3 2 3 3 4 4 6 1 2 2 2 1 0 3 3 6 3 7 0 5 1 2 3 2 4 8 2 0 3 2 1 3 2 2 2 5 5 0 4 2 2 1 3 2 1 3 3 3 2 1 0 4 3 4 7 2 9 6 3 2 1 2 4 3 5 4 1 5 1 1 2 2 3 6 2 2 8 2 4 3 3 3 1 3 4 5 4 2 3 3 5 2 2 4 1 1 5 2 5 4 4 6 2 3 1 4 2 6 4 4 5 3 3 1 4 6 3 1 3 5 2 7 3 3 4 2 5 3 7 2 3 2 8 7 5 2 3 6 3 4 3 4 2 2 3 2 2 0 4 6 3 6 1 5 1 3 1 3 0 1 0 2 0 0 2 1 3 1 2 2 2 1 2 3 2 3 3 4 4 1 1 5 0 3 3 4 8 0 3 3 3 5 7 3 3 3 1 1 2 5 7 3 5 6 2 3 1 10 2 3 2 4 2 2 4 2 3 5 3 2 2 4 3 4 4 5 3 4 5 2 1 2 5 1
7 6 3 2 3 3 6 4 4 2 3 5 1 0 6 3 2 5 1 0 4 2 4 2 6 3 5 3 1 4 2 3 4 4 6 6 4 1 2 2 4 6 3 7 3 6 1 4 5 1 3 1 4 3 5 1 3 4 4 4 3 2 1 3 1 2 3 3 3 4 2 2 5 2 2 8 2 3 7 3 5 5 3 1 6 6 3 3 1 0 4 2 5 2 4 2 1 3 4 5 3 1 4 4 1 3 3 4 4 2 2 3 2 1 3 2 2 2 0 3 5 2 2 4 2 2 2 3 3 1 4 2 1 4 5 6 2 3 4 0 2 3 2 1 2 2 7 1 3 2 5 1 3 0 2 3 3 1 6 2 2 5 3 4 2 3 2 4 1 5 5 3 1 5 2 3 3 3 1 0 1 0 0 1 0 0 0 1 0 0 1 1 3 1 0 1 2 1 2 5 5 4 0 4 1 2 5 3 2 2 4 2 3 2 3 5 5 1 4 3 1 2 2 3 4 1 5 4 2 3 3 2 4 3 2 2 7 2 3 1 6 5 2 3 3 2 6 4 1 2 2 1 2 6 7 3 3
8 2 5 2 1 1 3 7 3 2 4 8 3 1 3 1 2 2 6 6 3 0 1 4 2 5 2 4 2 0 3 3 3 5 4 3 4 5 3 2 4 3 3 2 4 1 5 4 4 2 0 1 8 2 1 1 4 3 1 3 4 2 5 5 5 5 5 1 3 3 2 3 7 5 6 4 1 2 4 0 5 5 4 7 0 7 7 1 3 6 3 2 5 5 1 5 5 1 2 8 4 7 4 5 6 2 3 3 3 4 2 3 5 4 1 1 2 1 3 2 2 3 4 5 6 4 2 3 4 4 3 1 3 1 3 3 5 3 2 3 3 1 4 6 4 2 4 2 5 4 6 3 4 5 0 2 2 0 6 3 1 4 1 5 4 3 2 4 3 6 2 2 10 3 3 3 1 0 1 0 2 0 0 0 0 0 2 2 1 0 0 0 0 5 1 4 0 4 1 2 2 5 1 2 1 4 1 2 6 2 4 5 1 3 5 6 4 6 3 6 0 6 0 3 4 1 1 3 3 0 5 2 1 1 3 4 6 0 2 4 3 2 2 4 5 4 2 3 3 2 2 4 2 4 1 6 2
9 3 4 2 2 1 6 5 7 7 5 4 2 3 3 3 2 3 3 1 4 9 2 1 0 3 1 3 1 1 4 5 1 3 1 3 1 3 2 2 2 3 3 0 1 4 4 0 3 4 3 3 1 5 3 3 6 4 5 3 4 5 2 6 6 3 4 3 3 3 2 0 5 4 5 3 4 2 1 2 2 5 6 4 2 0 3 1 2 5 3 3 4 8 4 1 2 2 2 2 4 5 7 6 0 3 3 4 2 5 2 4 4 4 2 1 3 5 4 3 3 5 5 2 2 2 6 4 2 9 1 1 2 2 2 3 6 4 3 4 0 4 3 6 3 3 6 2 3 4 7 5 3 3 3 5 4 2 1 3 5 1 3 5 4 2 2 0 0 3 4 4 2 3 0 2 5 0 0 0 1 1 3 4 1 0 1 0 4 0 0 1 3 1 4 3 2 1 2 3 2 1 3 4 4 2 4 3 7 4 5 0 2 7 3 3 2 2 3 5 3 1 2 2 2 3 3 2 2 4 3 6 4 9 6 2 2 6 2 3 4 5 5 4 2 1 6 7 11 4 4 3 2 3 5 4 3
10 4 2 2 5 3 0 3 4 2 5 3 5 3 5 4 1 5 2 3 2 2 2 1 3 5 6 2 2 6 4 5 4 6 3 5 4 0 2 2 2 1 1 5 0 0 6 4 3 0 6 6 6 4 5 4 3 5 2 3 1 5 5 1 3 4 2 4 0 3 2 4 4 4 4 3 3 1 3 1 1 5 2 5 3 2 1 5 5 7 5 8 3 4 2 2 4 2 5 4 6 2 2 3 2 4 2 3 6 3 3 2 5 2 3 4 1 2 3 3 3 4 1 4 5 2 4 3 4 2 3 5 3 1 1 3 2 0 5 5 1 2 2 5 1 2 1 3 3 5 2 8 6 1 4 4 5 1 5 4 4 5 4 1 3 4 4 3 6 4 2 3 5 3 2 2 0 1 3 1 0 1 1 1 1 2 0 2 2 1 1 0 2 1 2 4 2 5 1 4 1 2 6 3 3 1 0 3 3 8 2 5 6 5 4 2 4 6 6 4 5 1 3 4 2 2 2 2 0 4 1 3 2 3 1 3 0 1 1 8 1 2 4 2 0 2 1 2 4 3 1 2 2 5 3 1 4
11 3 7 1 2 1 6 3 0 5 4 2 4 4 1 4 4 3 3 3 3 4 4 3 4 2 2 4 4 3 3 2 3 4 5 5 0 1 2 2 6 2 4 4 7 2 2 3 4 1 2 7 1 2 6 6 0 1 4 6 2 1 2 1 4 2 2 2 4 1 1 2 3 6 5 2 4 2 3 2 4 4 2 3 4 3 2 7 4 0 3 3 3 5 2 2 2 0 1 2 5 5 4 5 4 1 3 4 1 7 2 2 1 3 3 6 3 1 2 3 1 0 5 1 3 2 5 3 3 4 4 3 3 2 5 4 4 4 4 2 4 1 2 2 2 6 4 5 2 5 4 9 3 2 2 1 2 4 9 1 2 4 3 7 6 1 2 3 2 1 4 4 4 2 2 4 2 2 0 0 0 0 1 1 1 0 1 0 5 2 1 1 1 1 2 4 0 4 3 3 2 2 0 7 4 5 1 4 3 1 1 0 5 1 2 4 4 3 6 1 2 4 4 0 2 5 3 7 2 2 1 4 4 4 2 8 1 4 4 1 4 2 4 2 0 2 3 3 3 1 4 1 2 4 1 3 4
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1,2,4,5,1,3,4,1,1,2,1,2,5,3,2,1,5,5,4,1,0,2,0,1,2,5,4,3,1,4,4,6,1,4,4,2,1,4,2,3,1,1,3,3,5,0,3,2,5,2,3,3,5,3,1,4,3,4,7,4,3,4,1,0,3,6,1,1,2,2,3,1,0,2,1,0,5,0,2,2,3,1,5,4,2,3,4,5,0,2,3,2,2,1,0,1,2,2,4,4,2,9,5,1,2,1,4,2,3,3,2,2,1,2,5,2,4,2,3,2,4,2,1,5,0,1,4,1,4,3,1,4,6,3,0,2,2,1,5,3,2,3,4,3,3,3,3,0,6,2,4,1,2,2,3,3,6,3,1,3,4,2,0,5,4,4,5,0,3,4,5,5,3,4,1,0,2,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,0,1,1,0,2,2,2,0,1,1,3,2,3,4,4,3,5,2,2,2,3,3,3,1,2,1,1,2,4,2,5,2,7,4,4,6,2,4,4,3,1,0,2,2,5,3,4,3,1,1,0,5,1,4
1,4,4,5,4,4,0,3,2,5,5,5,2,2,2,0,5,0,0,5,1,5,1,0,1,7,2,3,1,7,3,3,3,2,1,1,1,6,5,0,3,1,1,6,2,2,2,6,4,3,2,1,1,3,11,1,2,4,5,3,5,7,0,6,1,5,6,2,2,1,2,2,4,3,1,6,0,2,3,2,2,2,3,2,2,3,1,2,1,4,1,2,1,2,2,2,4,4,2,4,2,4,2,4,2,2,2,2,5,1,2,3,2,4,4,4,2,6,6,4,2,1,4,1,6,7,2,3,3,2,1,5,7,2,1,4,5,3,2,5,2,3,2,2,3,2,3,1,4,8,5,3,5,6,5,4,1,2,2,2,5,3,6,4,3,6,5,5,4,6,4,2,4,5,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,0,1,0,0,1,0,2,2,1,1,2,0,3,3,6,0,5,4,4,2,1,3,2,5,2,2,3,5,3,6,6,2,5,2,4,3,5,2,2,6,2,4,4,2,2,3,3,2,1,3,2,3,2,3,3,1,5
3,3,1,6,3,2,3,1,1,3,2,8,2,3,4,0,2,8,3,4,2,3,1,1,1,3,2,0,3,2,0,2,6,7,3,3,5,2,4,3,4,1,4,3,2,4,4,3,2,2,0,3,2,5,2,2,5,4,4,2,4,7,1,1,2,6,1,2,4,0,1,1,4,1,3,6,1,1,2,4,5,3,2,1,5,2,3,0,1,4,2,2,1,0,3,4,1,4,1,3,1,3,2,1,3,0,3,4,0,3,6,4,2,3,2,2,3,4,4,5,2,5,4,3,2,4,1,5,6,2,2,4,9,3,5,8,2,3,2,4,1,3,3,5,0,4,1,6,0,2,2,8,2,2,2,4,2,4,2,5,3,4,5,2,2,3,4,5,4,1,3,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,2,1,1,3,1,0,0,0,1,1,4,3,1,4,1,3,3,6,4,2,3,5,4,2,2,2,6,1,3,7,3,3,1,3,2,2,2,3,3,5,3,1,3,4,5,3,2,2,5,4,1,2,3,2
1,5,4,3,1,2,1,2,3,0,4,1,2,0,5,7,3,7,3,0,5,0,2,2,0,1,4,1,2,0,3,4,2,0,6,1,6,6,1,2,2,3,2,2,2,5,3,1,0,4,4,3,1,1,1,2,2,1,3,1,3,5,3,0,3,0,2,2,4,2,1,3,3,2,4,1,1,3,1,2,2,0,3,1,2,1,2,6,2,1,2,2,1,2,3,5,1,2,4,6,3,0,4,2,2,1,3,2,3,0,5,3,3,2,1,3,2,2,4,5,1,4,3,1,4,5,4,2,1,4,3,4,5,2,2,6,4,2,3,5,3,4,5,2,3,1,3,3,0,5,3,2,5,3,3,4,5,3,6,5,0,3,5,3,5,3,5,5,3,4,4,1,3,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,2,1,3,0,3,0,2,1,2,1,1,1,1,3,3,1,7,4,1,6,3,3,3,2,2,5,2,3,4,2,4,2,4,3,4,2,4,2,4,4,5,0,3,0,6,6,3,3,0,0,4,3,2,3,5,0,3
2,4,3,5,3,7,1,2,5,2,1,5,1,2,4,4,1,6,4,5,1,4,1,1,4,5,4,3,1,5,2,2,3,0,3,2,2,5,2,4,4,1,2,3,1,6,2,1,4,2,2,2,4,3,3,3,2,3,3,6,1,4,4,1,5,5,7,6,5,1,4,1,2,4,3,3,3,4,2,5,1,3,3,3,1,1,2,0,1,3,7,3,3,3,3,1,4,6,7,7,4,1,1,2,4,2,2,4,0,2,2,2,2,1,3,3,2,8,4,6,1,4,6,5,3,2,3,2,2,5,5,1,4,3,3,3,4,3,5,3,1,5,9,3,3,4,3,5,9,3,3,4,1,0,7,7,5,2,4,3,1,3,5,5,2,8,5,4,2,4,5,4,3,0,2,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,3,0,4,0,3,3,2,0,2,2,2,7,5,11,1,3,3,3,3,2,4,4,5,0,1,3,1,0,4,3,7,1,0,0,0,4,1,4,1,1,3,3,2,5,3,3,3,3,2
4,1,9,2,2,1,5,4,2,4,3,3,0,4,1,1,1,1,2,2,4,5,2,2,5,1,1,2,0,1,1,2,6,2,1,2,3,3,1,1,0,3,2,2,6,5,4,4,2,5,2,3,2,3,2,2,2,3,5,2,1,2,1,6,1,4,0,6,4,4,0,2,3,3,2,3,2,4,2,2,5,1,3,2,6,1,0,2,2,3,2,2,4,4,4,3,1,3,3,1,6,3,4,1,4,2,3,2,4,3,1,2,3,5,5,6,2,1,3,4,3,6,10,3,4,1,4,5,2,6,2,4,3,4,1,2,11,3,2,7,5,2,3,1,1,4,4,4,1,4,2,2,4,0,8,4,5,11,4,5,3,3,2,6,3,1,4,7,2,4,2,2,1,5,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,2,1,1,1,0,0,4,2,1,1,0,0,3,3,1,4,0,5,5,2,2,3,11,2,5,9,3,3,1,5,2,0,3,2,2,1,2,1,3,1,2,1,4,4,2,2,1,1,1,4,3
2,3,4,4,1,5,1,2,2,0,2,1,2,2,6,3,1,1,3,0,0,5,0,2,4,3,6,1,4,1,8,2,1,4,4,2,6,6,3,1,2,0,1,3,5,4,4,1,3,2,1,2,3,1,1,4,2,2,2,1,5,1,5,6,1,4,1,1,4,6,2,4,1,2,1,2,3,2,4,2,0,2,0,2,2,4,4,2,1,5,2,2,5,0,2,4,2,4,4,1,0,1,6,4,1,1,1,1,3,2,3,0,1,3,0,3,2,4,2,6,3,3,0,5,7,0,2,8,3,3,3,1,4,3,5,3,4,2,6,1,2,7,3,6,5,5,5,5,7,6,4,3,1,3,1,2,5,3,5,5,4,3,3,5,4,1,4,2,5,3,6,4,2,1,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,1,3,3,2,1,1,2,2,3,3,3,2,1,4,3,2,3,4,2,1,6,1,3,1,4,2,3,3,2,2,2,1,3,2,2,1,2,0,2,0,2,1,2,0,2,5,7
1,7,5,3,5,1,2,3,2,2,2,2,7,1,3,3,1,1,3,2,4,4,3,2,2,1,4,5,2,4,3,2,4,4,3,3,3,2,4,6,2,8,2,2,5,4,5,2,2,3,2,5,1,1,2,1,0,3,0,1,5,5,3,4,2,3,5,5,2,3,1,4,1,3,2,1,4,3,3,4,2,1,2,4,2,0,1,1,4,2,2,2,2,2,2,3,3,5,6,6,2,1,5,4,4,3,1,5,6,3,3,5,5,4,3,0,3,2,1,5,3,5,2,8,5,1,5,4,2,6,3,4,0,4,4,1,2,3,2,3,3,4,8,1,1,7,6,5,6,4,4,5,5,4,4,1,7,2,3,5,2,3,2,4,1,1,3,3,4,4,5,2,3,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,0,2,1,0,0,1,2,0,3,1,2,0,1,4,2,1,7,4,1,1,2,3,5,3,3,5,5,0,4,1,3,2,3,3,2,5,1,4,2,1,4,2,2,1,1,6,2,3,1,6,4,4
2,4,2,2,4,4,4,5,1,2,4,5,3,3,4,3,3,1,2,1,2,3,2,3,2,4,5,4,4,3,2,4,1,1,2,1,0,1,1,3,1,5,1,0,2,4,3,3,5,1,4,1,2,2,4,3,6,3,3,1,2,4,1,2,3,0,2,3,3,4,3,5,2,6,2,1,3,1,2,4,3,3,2,2,1,1,3,3,1,1,2,1,5,1,4,1,3,2,1,3,1,2,5,2,5,1,3,6,1,6,0,1,2,2,1,6,2,1,2,3,4,3,1,4,1,3,3,3,2,2,1,8,5,2,4,4,1,3,2,1,4,5,2,4,8,1,2,5,1,7,6,2,3,2,1,1,4,4,0,5,5,3,2,3,4,2,4,4,4,5,4,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,2,2,6,3,2,3,2,1,3,0,3,3,1,2,1,3,1,4,5,6,1,1,3,8,0,5,3,2,2,2,0,1,2,2,1,4,2,1,3,1,4,2,1,3
5,3,3,1,1,4,2,6,2,3,2,4,3,2,5,3,5,3,1,5,6,0,0,3,4,1,5,2,4,0,3,3,1,1,0,5,2,5,0,1,4,3,3,3,2,0,1,2,2,1,6,1,4,1,1,1,5,2,4,5,4,5,3,2,2,4,2,3,2,4,1,0,4,3,5,5,3,4,1,1,3,1,1,2,0,2,2,3,0,2,6,4,3,2,4,1,5,2,5,2,4,3,4,1,2,1,3,5,6,3,4,1,5,3,6,3,1,3,4,5,6,5,1,4,5,0,10,2,2,5,5,4,2,1,6,3,5,3,2,3,4,1,7,2,5,5,6,5,5,7,2,4,4,5,3,2,4,8,2,4,3,3,3,3,5,6,3,4,2,4,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,1,3,1,1,2,0,1,1,2,4,2,3,2,2,1,2,4,3,6,2,2,5,1,2,5,1,5,3,1,2,3,5,5,4,3,0,1,5,2,2,3,4,2,1,2,0,2,2,6
2,3,1,2,3,1,3,2,4,2,4,2,1,3,3,3,0,6,1,4,6,5,5,3,2,2,2,3,0,2,2,1,0,3,3,4,1,1,2,3,3,1,1,2,8,3,4,1,8,1,4,2,2,0,3,1,0,4,2,1,2,0,5,5,4,2,2,3,0,4,4,3,1,2,5,4,0,5,4,1,3,6,5,3,1,3,1,2,4,2,1,2,1,2,5,2,1,2,2,3,5,2,2,3,4,4,2,1,4,4,5,5,7,5,9,3,3,2,3,4,5,3,2,4,1,3,5,1,4,0,3,4,5,4,3,2,3,8,3,4,0,7,3,6,4,2,3,3,4,6,3,6,3,2,2,2,4,5,7,6,5,3,5,4,8,3,6,9,2,2,2,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,1,2,1,1,2,5,3,2,0,3,2,4,2,5,5,1,5,3,1,3,4,5,3,5,3,3,4,1,6,1,6,2,1,2,4,5,5,1,1,4,4,1,7,2,5,5,1
2,3,3,3,4,2,4,4,2,3,1,6,1,0,6,2,3,5,1,4,4,1,1,2,2,3,2,3,1,4,2,4,5,3,0,4,3,3,3,3,2,4,2,0,0,2,0,3,4,0,3,4,2,2,1,4,1,2,1,1,5,3,3,3,5,1,2,1,0,1,2,3,3,1,2,4,4,2,6,2,2,2,3,1,3,2,3,2,1,4,4,2,5,4,1,4,5,1,2,4,4,3,6,1,4,3,2,3,0,2,3,3,6,2,4,7,6,4,4,4,2,2,2,4,1,0,3,3,2,3,2,3,2,3,6,12,5,6,3,1,4,2,1,4,2,3,2,1,7,6,4,4,5,6,5,5,1,5,5,3,3,1,1,4,4,5,1,0,4,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,1,2,1,0,3,3,2,2,1,2,1,3,4,5,2,2,1,6,1,3,3,3,3,4,2,4,1,1,4,1,1,2,4,4,3,7,3,1,4,5,0,1,2,3,2
2,3,0,3,1,5,2,2,2,6,2,5,4,1,1,2,3,3,4,2,1,2,4,4,1,0,4,2,5,5,2,1,3,3,3,4,5,0,1,3,0,3,1,2,2,3,2,1,2,0,2,5,2,0,4,0,1,1,1,4,2,5,1,2,7,2,3,2,0,2,4,5,4,2,0,1,4,4,1,3,6,4,4,3,3,3,3,2,4,8,2,3,2,1,4,3,1,1,6,2,4,1,1,3,5,4,2,3,3,2,3,5,1,2,2,2,4,1,1,1,1,1,2,4,7,2,3,4,4,0,2,8,5,3,1,3,4,3,4,6,4,6,2,1,5,2,3,4,3,3,4,6,1,5,4,5,7,5,1,4,2,5,5,3,3,3,2,2,3,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,2,1,1,0,0,1,1,4,2,0,2,0,2,3,5,2,2,4,2,1,9,3,7,2,2,3,4,3,4,3,3,3,2,3,1,2,2,2,4,1,2,3,3,2,3,3,2,4
2,3,0,1,2,2,2,6,3,2,2,2,6,1,0,2,3,2,4,2,2,4,4,2,2,4,3,2,1,4,0,0,3,0,1,1,2,4,3,0,3,0,1,2,1,2,2,4,3,5,1,1,0,4,3,1,5,0,2,2,1,0,3,0,3,7,1,2,2,3,5,1,2,3,2,2,5,1,1,3,3,3,1,5,2,3,3,6,5,3,3,3,2,3,2,1,1,4,0,4,5,4,3,4,0,2,4,1,4,3,1,6,3,4,1,3,5,5,7,2,4,3,4,4,3,4,5,2,6,4,3,4,1,2,3,1,3,2,6,4,2,2,6,8,0,1,1,3,2,7,2,2,5,6,3,2,3,3,3,5,4,3,8,2,4,5,1,2,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,2,1,0,3,2,2,5,4,3,1,3,1,1,1,3,2,9,1,6,5,3,3,1,2,3,1,3,2,2,2,6,5,3,1,2,4,2,3,0,4,6,6,4,5,4
2,1,6,5,0,9,5,1,4,1,2,0,4,5,3,5,2,3,0,3,2,2,3,2,3,1,5,0,5,2,2,4,4,1,2,1,0,3,6,3,0,5,6,4,0,2,1,3,0,3,4,4,4,3,3,2,2,3,3,3,0,4,1,1,1,1,2,5,2,2,5,1,1,2,2,3,4,3,4,3,5,2,4,3,2,3,4,3,6,5,3,4,1,3,2,3,1,3,1,6,1,6,2,5,3,2,3,4,3,3,2,2,3,3,6,4,4,5,0,4,4,1,2,3,2,7,3,1,0,4,2,3,3,6,3,3,8,5,1,1,1,2,2,5,0,2,1,3,0,2,4,4,6,1,9,10,2,7,5,3,3,2,7,2,4,1,2,3,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,0,1,0,1,0,2,2,3,3,1,2,3,2,5,2,0,4,5,8,8,3,3,1,1,2,1,6,2,4,2,2,0,2,3,1,3,2,2,4,3,4,2,4,3,2,5,1
5,7,2,3,0,1,1,1,1,3,3,3,1,3,4,1,2,2,2,2,1,5,6,3,0,4,1,5,2,0,0,4,4,1,2,2,1,4,2,1,4,3,5,1,2,4,3,1,0,3,0,1,0,2,2,2,6,3,3,4,2,4,2,6,0,3,2,1,3,3,1,3,3,1,3,4,2,1,2,3,2,1,1,0,2,1,4,0,5,2,5,1,3,4,4,2,5,4,5,1,6,1,4,2,5,4,3,1,2,1,4,5,6,3,4,9,2,2,4,4,2,3,2,2,3,3,3,4,5,2,3,6,10,5,2,2,4,7,2,3,3,4,4,1,5,2,8,0,5,4,3,0,3,3,4,2,6,2,3,5,6,3,5,3,4,1,1,1,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,3,2,0,1,2,3,1,1,1,2,4,2,3,3,3,2,1,6,4,1,6,4,4,2,2,6,2,3,2,2,2,2,1,1,1,2,4,2,4,4,1,7,3,2,4,6
5,0,3,4,1,3,4,1,3,3,1,2,1,2,2,0,4,1,6,0,4,3,4,3,2,5,2,0,4,1,2,3,2,2,1,4,0,3,5,3,2,2,3,2,1,3,4,3,5,4,3,4,3,7,2,2,0,2,0,1,4,0,5,1,2,6,3,4,3,1,2,0,3,2,2,2,3,4,0,3,3,6,2,3,3,2,5,3,2,0,5,3,5,2,3,1,2,2,0,3,6,3,4,3,9,5,3,3,3,4,1,0,2,1,8,1,6,3,4,4,0,7,1,4,4,5,3,4,6,1,4,3,4,4,3,3,5,1,3,0,4,4,4,7,2,1,5,2,4,5,2,1,1,4,1,2,4,4,4,1,1,1,6,3,0,2,5,1,0,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,1,0,2,0,0,0,1,0,1,2,0,5,0,2,0,1,4,1,4,2,3,3,1,4,3,2,2,4,3,2,1,2,2,1,2,2,4,2,3,3,5,6,7,3,6,4,1,2,4
2,4,1,2,0,3,3,2,2,3,1,4,4,1,1,2,3,4,6,3,5,7,2,5,4,5,0,3,3,4,1,2,3,5,4,3,2,3,2,0,3,3,5,0,1,5,0,5,3,4,2,2,3,0,4,2,1,6,2,0,3,0,3,1,2,4,1,3,6,1,3,3,1,1,1,2,3,1,1,4,4,5,3,1,5,1,4,2,6,2,3,1,3,1,1,4,4,0,2,4,1,3,1,3,2,2,6,1,2,3,3,0,1,5,9,6,1,4,3,3,1,5,3,4,1,1,5,3,3,7,4,3,2,2,4,2,5,6,4,3,2,3,1,2,3,5,3,3,3,5,0,2,5,4,3,2,5,1,2,4,6,3,2,4,6,1,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,2,1,1,1,1,1,1,4,1,3,0,3,0,2,2,2,5,2,1,3,3,3,6,2,1,4,1,7,3,2,3,4,4,3,3,1,3,2,3,2,4,4,5,2,2,3
2,1,6,4,4,4,2,4,4,4,4,2,2,1,0,3,2,1,0,4,4,3,4,3,5,3,1,2,3,7,3,4,4,0,2,3,1,5,1,1,3,2,1,5,4,3,1,5,4,3,1,3,0,5,4,6,5,4,3,4,2,3,1,2,3,3,2,0,6,1,5,2,2,2,3,2,0,0,3,4,3,1,8,2,2,1,3,2,2,7,1,1,0,3,6,0,4,2,1,0,1,0,3,6,3,1,10,1,2,1,5,1,2,5,2,3,2,2,7,5,3,4,6,2,5,7,3,5,9,4,4,9,7,3,5,4,3,3,5,4,4,5,3,3,7,6,5,5,4,3,1,7,0,2,1,2,6,7,3,5,3,1,4,2,0,2,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,3,3,3,1,3,1,0,0,0,2,3,1,2,2,5,4,4,0,0,3,2,4,3,6,2,6,4,1,3,7,1,4,4,1,4,0,3,2,3,6,5,4,4,5,3,7,2
4,4,1,4,4,6,5,0,5,2,2,3,5,7,0,2,2,3,1,5,5,0,2,4,1,3,3,1,1,2,3,3,3,2,2,1,1,3,4,2,1,2,2,1,4,1,1,2,4,3,5,4,0,3,1,3,3,0,4,3,2,4,2,3,2,0,1,3,5,0,1,3,1,1,1,1,3,1,2,3,2,2,2,3,4,2,3,6,0,0,3,0,4,2,2,2,1,4,4,4,8,0,3,2,3,5,3,7,6,2,4,4,6,4,5,2,7,4,3,4,8,4,6,4,4,4,6,7,4,3,8,3,8,6,4,4,3,5,1,1,1,2,5,4,1,3,3,1,4,6,8,2,4,5,5,6,1,2,2,2,4,2,4,3,1,0,3,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,2,1,0,1,0,1,0,1,3,1,5,3,0,2,3,3,0,1,2,6,5,2,0,3,1,1,2,5,3,3,3,5,3,5,1,3,6,4,5,3,4,2,4,4,4,9,0
3,5,1,1,1,3,3,3,3,6,5,3,1,4,1,5,7,2,2,4,3,2,3,3,3,4,3,3,0,1,3,4,5,3,0,1,1,0,2,2,4,0,3,4,2,3,0,2,3,4,3,4,1,1,3,1,0,1,0,7,2,3,2,3,4,3,1,6,0,1,1,1,4,3,6,2,2,1,2,5,2,3,1,6,0,2,4,2,1,3,7,1,3,1,5,0,4,5,4,2,4,0,4,5,1,5,2,6,2,6,4,4,1,5,4,4,1,1,3,2,5,5,6,2,4,6,4,3,3,5,2,4,5,3,2,5,3,4,3,4,4,2,3,1,4,3,3,1,4,2,2,4,3,5,3,5,1,2,3,5,2,3,2,2,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,2,1,4,2,2,1,1,2,2,0,2,1,1,2,2,5,1,3,2,2,3,2,1,2,3,1,1,4,3,2,2,4,5,1,4,4,4,2,2,3,6,2,3,1
3,2,2,3,4,3,2,3,2,4,5,2,7,1,0,4,1,2,2,4,5,1,2,3,3,4,3,2,6,1,2,2,1,6,3,5,6,6,3,4,5,4,3,2,1,4,1,5,1,3,2,6,4,6,1,0,2,2,0,1,2,0,5,2,3,2,2,2,0,3,2,2,1,2,2,2,5,1,2,3,3,2,2,3,3,0,2,3,4,1,6,4,2,5,1,4,4,2,5,3,4,5,5,3,4,1,3,3,3,7,2,6,6,3,4,8,5,3,4,5,5,10,6,2,3,5,8,6,8,2,4,4,7,2,3,4,2,1,3,5,6,6,1,4,4,2,3,3,2,0,1,5,3,4,3,6,7,6,1,5,4,2,4,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,1,1,1,1,3,1,2,3,2,2,1,1,2,1,1,2,3,3,4,4,1,2,1,0,3,3,6,1,4,6,4,3,4,0,2,6,2,6,3,3,5,3,2
1,0,2,5,3,2,2,3,2,4,2,3,3,1,3,2,2,1,2,3,3,2,1,6,3,2,4,4,4,2,2,4,1,2,2,6,1,3,4,3,4,1,1,2,3,4,5,3,2,3,4,3,4,2,2,5,2,6,5,5,1,2,3,1,5,7,3,1,3,0,1,0,2,1,4,3,3,3,0,0,2,1,2,0,2,6,1,1,2,2,3,1,4,1,6,0,4,3,1,4,3,4,5,2,4,8,6,4,3,2,4,2,6,0,5,1,3,3,0,8,6,3,1,4,6,7,8,5,6,2,8,1,4,3,2,0,4,5,4,5,6,7,8,4,7,4,5,3,2,2,3,4,0,2,1,2,8,3,4,4,1,3,2,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,2,1,1,1,1,0,3,2,5,2,2,1,1,6,3,5,2,1,2,4,3,1,4,5,3,1,4,2,1,5,6,3,8,3,4,2,2,4,3,3
4,3,1,3,3,0,4,2,1,4,2,3,2,3,3,4,6,1,6,3,3,1,3,3,3,4,2,3,1,2,4,5,6,3,3,2,0,3,2,5,3,0,1,5,1,4,1,0,7,3,3,3,1,1,0,2,3,2,1,2,5,6,4,5,3,0,1,2,4,0,3,4,3,2,1,3,0,3,5,3,3,4,3,0,1,1,4,6,4,6,3,4,1,5,3,2,5,3,1,5,4,3,7,4,5,5,2,2,4,2,3,4,3,1,5,5,5,1,4,5,4,4,7,5,4,4,4,4,4,5,6,2,4,7,2,3,4,1,5,3,3,5,1,4,2,6,2,4,7,3,1,5,6,3,5,0,3,2,4,5,5,3,1,4,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,1,3,1,1,1,4,2,3,3,1,2,3,0,2,3,3,3,2,0,3,1,5,2,5,1,0,2,4,2,7,3,10,4,2,2,9,3,3,2,1,6
2,0,3,0,2,2,2,3,1,2,2,2,3,5,9,4,1,2,3,1,3,4,2,4,1,3,5,3,4,1,3,4,3,1,1,2,5,4,0,4,5,4,3,2,2,1,1,2,3,2,4,4,2,7,3,3,1,3,1,4,2,4,3,2,2,3,2,4,2,4,1,1,4,0,0,3,1,4,4,2,1,5,0,3,1,0,1,2,0,8,5,2,2,5,3,1,3,2,2,3,6,2,1,4,5,2,5,4,1,3,1,5,6,6,6,2,8,5,4,4,6,4,6,2,3,6,7,3,2,6,2,6,3,1,4,8,2,8,4,3,2,1,5,3,2,4,5,5,3,6,3,1,5,5,5,3,5,2,6,4,4,4,1,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,2,2,3,3,4,2,1,1,1,2,2,2,2,5,4,6,2,1,1,7,2,0,4,4,3,8,3,2,2,3,4,2,7,1,2,7,1,7,1,6,2,3,3
3,1,2,2,3,3,3,2,3,1,1,2,3,0,3,1,1,5,4,6,3,3,2,2,4,2,5,1,1,3,3,2,2,2,7,3,4,6,1,4,3,1,4,3,3,1,1,3,3,2,0,2,4,5,3,1,1,1,3,0,5,0,4,2,5,8,0,4,4,4,6,1,5,3,1,1,1,1,1,4,1,3,2,2,1,5,0,3,1,3,2,3,6,2,1,8,6,3,4,4,3,6,7,3,0,4,2,5,5,8,3,3,5,4,0,2,3,3,3,3,5,6,3,1,3,7,4,5,6,2,2,4,5,3,1,5,1,4,0,1,3,2,2,1,1,4,2,2,3,1,4,5,0,3,2,3,2,3,7,3,1,1,3,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,2,0,1,0,1,3,2,2,3,3,2,1,4,2,1,5,5,0,2,3,1,1,2,2,3,2,3,1,4,2,4,1,4
2,3,3,1,1,1,2,0,5,2,3,0,5,2,3,5,1,4,2,6,4,4,3,5,1,1,2,0,3,2,2,2,0,2,2,1,0,3,7,0,2,2,1,3,3,3,3,2,2,0,4,1,1,1,2,6,3,2,3,2,2,3,0,3,4,5,2,2,3,6,3,5,6,1,3,4,1,2,3,3,7,3,5,4,2,3,5,0,2,4,2,3,4,2,1,4,6,2,1,2,4,4,3,3,4,4,1,7,3,2,3,7,10,0,2,4,3,5,6,1,5,2,5,5,3,5,5,5,0,4,4,7,2,1,3,3,3,6,5,2,3,4,6,2,3,3,4,1,4,3,3,4,2,2,5,6,3,5,4,4,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,0,1,2,1,1,1,0,0,3,1,4,5,2,5,3,2,3,3,4,3,1,0,0,2,2,1,7,6,7,1,4,3,2,4,5,5,4,2,4,1
3,3,1,2,1,1,3,4,4,1,1,1,4,5,4,4,4,1,3,5,2,2,4,5,3,3,3,5,1,3,6,3,1,3,1,2,4,1,1,3,1,4,5,2,0,4,1,3,3,0,3,2,2,2,4,2,2,5,2,2,1,5,3,1,3,1,6,1,2,2,3,4,0,1,3,3,2,3,3,2,3,4,1,2,1,1,2,3,3,3,1,2,3,4,2,5,3,4,4,1,3,4,6,5,3,4,5,7,5,5,2,4,2,2,4,5,2,2,4,3,4,7,4,3,1,3,3,7,4,6,7,7,6,4,1,4,5,3,3,4,6,4,3,4,1,2,5,4,2,7,6,6,1,3,2,4,3,5,3,4,4,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,2,1,1,2,3,1,4,4,4,3,4,2,2,2,3,4,5,5,4,2,3,2,1,0,0,2,4,4,4,4,3,5,2
6,2,0,2,1,3,7,1,2,1,1,4,2,5,5,1,1,2,5,4,2,0,4,5,4,3,4,1,1,1,3,5,1,0,1,6,3,0,5,1,1,2,4,3,3,4,5,2,1,4,4,4,4,5,2,1,2,2,3,2,0,1,1,3,3,2,3,4,3,3,7,9,4,1,6,3,1,1,2,4,1,2,4,2,3,2,4,10,3,3,4,1,4,2,3,5,4,4,2,1,5,4,8,5,2,2,4,7,4,7,3,4,2,4,2,2,5,3,2,6,1,4,2,3,2,4,5,3,2,3,4,6,4,3,5,4,7,4,3,2,4,3,0,7,6,4,2,2,4,2,2,3,8,2,3,1,9,4,5,5,3,5,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,2,0,0,3,3,1,1,1,2,1,3,0,2,5,3,2,1,1,5,1,6,4,4,3,3,1,5,1,3,1,2,6,4,0,4,0,4,5,2
1,5,1,0,0,5,0,4,6,5,2,1,1,2,3,2,3,0,4,2,6,3,5,3,6,2,2,4,3,5,2,2,2,3,6,5,4,0,1,2,3,6,3,3,3,3,4,2,0,1,0,5,4,3,2,4,2,2,4,4,4,0,1,1,3,2,0,4,1,3,4,6,3,4,3,1,1,6,6,3,2,5,1,5,3,3,4,3,4,5,5,3,3,3,1,4,0,1,6,8,3,1,5,0,8,5,4,5,4,3,4,2,2,3,3,4,4,3,3,1,3,4,2,2,2,5,1,0,8,1,2,2,7,3,5,1,7,0,4,3,3,2,4,7,3,3,5,3,2,5,4,2,1,9,3,8,3,2,1,3,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,2,0,0,0,1,0,1,2,3,0,3,2,1,0,1,4,2,4,2,4,3,4,2,2,0,3,1,6,2,5,2,3,1,5,0,3,5,0,2,2,2,3,3
3,4,1,5,1,1,1,1,4,2,3,3,2,3,6,3,1,1,0,1,3,4,2,2,3,3,0,6,2,1,1,3,0,3,0,3,3,1,1,4,1,3,2,6,0,3,3,2,4,3,1,4,3,0,4,0,0,4,2,2,1,2,1,4,7,3,3,4,3,3,3,2,3,1,2,6,3,1,1,0,2,4,3,4,2,4,3,0,2,1,2,3,4,4,2,7,5,7,5,8,6,4,4,4,2,3,3,2,5,1,4,0,3,5,6,0,5,6,3,5,4,2,3,5,4,4,7,4,1,0,2,3,5,0,5,5,3,3,2,4,1,0,4,3,10,6,3,2,5,8,3,3,3,2,6,5,1,3,1,3,4,5,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,2,0,2,2,3,2,1,3,4,2,0,1,4,2,3,4,1,2,1,5,3,1,6,5,4,1,5,2,3,3,3,5,0,4,4,2
1,3,2,6,1,1,4,3,3,0,3,5,3,4,3,0,2,2,3,3,3,2,4,0,4,4,2,3,3,1,2,4,2,3,4,1,2,2,2,0,0,4,3,3,1,8,4,2,1,3,3,1,2,2,2,6,3,3,4,6,0,2,5,4,3,3,6,2,3,3,2,2,4,2,2,3,1,2,1,6,5,4,0,5,5,4,0,5,3,6,5,6,2,5,4,6,1,5,6,6,1,4,3,6,3,5,4,4,5,4,0,8,4,4,4,1,2,5,3,5,0,5,2,3,2,3,2,3,2,4,5,1,7,1,9,2,4,5,3,1,6,5,1,6,6,6,4,7,6,2,5,10,5,3,3,2,2,4,4,4,2,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,2,0,1,0,4,2,5,4,1,2,4,0,2,1,2,4,5,1,2,2,7,9,3,6,0,1,4,4,2
3,3,3,4,3,3,2,1,1,0,3,1,3,0,1,1,1,4,3,3,2,3,5,2,5,1,4,3,1,3,2,4,4,2,2,3,2,3,6,1,3,1,3,4,7,5,3,3,3,3,2,5,1,3,3,3,6,1,2,4,4,8,1,1,2,3,2,2,0,2,0,1,2,3,0,0,3,2,2,1,4,4,5,2,4,4,8,2,6,5,2,6,4,4,3,6,7,2,3,8,5,3,2,5,1,4,10,6,4,6,3,2,7,2,3,2,1,1,4,0,4,3,2,1,2,2,4,5,1,4,2,5,4,1,6,4,5,4,9,6,5,4,2,2,6,4,4,7,4,4,1,1,7,1,4,3,1,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,3,0,1,0,1,0,3,1,1,0,5,2,2,2,3,2,1,1,0,3,3,1,1,1,2,1,0,3,4,5,2,2,1,3,5,3,2,3,5,3,1,3,4,4
2,3,4,2,1,1,3,2,2,1,4,3,3,2,2,3,4,4,0,1,5,3,2,2,5,2,4,3,3,2,5,4,2,1,3,4,2,6,4,2,2,3,5,1,5,0,1,3,5,2,3,2,2,1,3,1,4,5,0,4,2,6,2,1,1,4,0,2,3,2,5,0,0,2,1,2,1,3,1,3,1,2,2,2,4,4,3,2,2,5,5,9,3,2,8,4,4,3,5,7,9,6,4,5,3,4,4,6,8,6,3,3,2,4,5,3,2,5,2,0,7,3,3,4,5,5,3,9,4,4,3,4,3,7,7,4,4,2,3,6,1,3,3,1,4,3,8,4,3,1,1,5,5,2,2,5,7,3,2,3,3,0,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,2,1,2,2,0,0,1,5,2,0,3,4,3,2,0,2,1,1,4,2,0,1,3,0,4,3,1,5,5,6,4,3,2,4,4,3,4,1,3
1,2,1,2,5,3,7,3,1,2,0,1,11,4,2,1,2,3,2,3,4,3,5,9,3,5,1,3,2,3,2,2,2,2,5,2,1,2,3,1,1,2,1,5,3,3,2,0,2,2,3,6,1,0,2,3,4,0,4,2,2,5,1,0,5,2,5,3,1,1,5,0,4,2,3,4,1,3,1,4,0,2,2,1,1,3,3,2,3,6,6,2,3,7,0,0,8,3,0,4,3,1,4,9,2,3,7,4,3,3,9,3,4,3,1,4,4,4,5,7,2,10,5,4,3,3,1,3,5,3,2,3,2,1,6,2,2,5,7,3,3,5,2,4,6,1,0,1,3,7,7,2,5,3,2,3,1,2,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,2,0,1,1,0,3,3,1,3,2,6,7,4,3,1,1,4,4,0,2,3,9,1,4,2,2,1,4,2,3,2,4,2
3,4,6,1,2,5,2,2,2,4,1,1,2,4,5,2,0,4,3,0,1,3,2,3,2,1,1,3,2,4,2,2,5,4,4,3,5,3,6,4,4,3,0,0,5,7,1,2,1,2,2,4,0,1,4,3,2,3,2,4,1,3,4,3,4,3,0,1,1,2,0,1,4,3,4,1,6,4,6,4,3,1,1,3,6,1,3,3,5,3,2,3,3,7,4,9,6,6,6,6,6,3,6,5,5,9,6,6,3,3,2,2,7,1,2,1,4,3,4,2,7,2,2,6,6,3,2,5,3,2,2,6,2,2,4,4,2,2,4,4,3,4,7,4,3,4,7,4,9,4,4,2,1,4,4,2,3,1,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,2,0,2,2,0,0,1,0,1,1,3,1,1,2,0,1,1,0,0,1,3,1,4,4,0,7,3,3,5,1,2,4,4,2,2,0,3,2,3,7,3,4
2,3,3,3,4,3,2,3,1,6,0,5,6,2,4,2,3,0,2,5,1,2,0,3,0,1,2,7,2,5,4,3,1,4,4,4,6,3,5,4,5,3,1,3,1,3,3,5,3,6,1,0,2,5,0,3,3,6,1,3,4,1,2,4,6,2,1,2,1,6,2,2,5,3,5,2,4,0,1,1,5,1,0,4,0,1,0,6,3,4,1,5,5,2,9,7,4,8,4,4,4,3,3,1,3,3,6,6,4,4,4,7,1,7,5,0,6,3,4,4,2,5,0,1,3,5,4,2,1,3,5,3,3,4,5,6,2,4,1,3,3,5,6,2,5,3,1,4,2,2,3,5,1,3,1,3,5,1,2,1,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,2,3,0,0,0,0,0,0,1,1,3,3,2,2,2,2,3,0,0,5,3,3,2,3,1,3,3,2,4,3,2,7,2,6,2,3,2,2,3
1,6,5,3,2,4,4,2,8,1,1,3,1,4,3,3,1,2,4,3,2,1,1,4,2,4,3,6,7,3,7,7,2,2,1,2,1,5,2,1,2,4,2,4,2,5,2,3,6,4,2,5,2,2,4,3,2,3,1,1,4,3,2,2,2,1,2,3,6,2,4,3,5,1,3,2,2,1,1,3,5,4,4,1,3,3,1,4,3,3,1,7,5,1,2,4,3,4,4,3,6,2,6,5,2,6,3,5,2,3,6,4,6,4,6,5,4,3,7,5,3,3,5,3,7,3,1,6,5,2,5,6,5,3,2,3,5,1,3,2,4,3,5,3,6,7,2,3,7,6,7,7,5,6,1,2,5,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,0,2,1,2,2,3,3,0,2,2,4,3,1,6,1,6,3,2,2,4,9,3,3,1,3,3,7,2,6,2,3,4,0,3,5,3
3,4,2,9,1,2,4,2,5,2,5,5,1,2,3,2,6,2,2,0,2,4,3,1,4,2,2,3,1,3,2,2,2,3,3,1,4,3,2,0,2,3,2,1,0,2,2,2,2,4,0,2,5,3,4,5,2,2,4,5,2,7,2,4,3,4,3,1,3,4,4,5,6,4,1,0,1,3,0,12,3,4,2,5,2,2,1,3,5,3,2,1,5,4,2,4,9,6,4,3,5,4,6,4,7,6,6,4,5,1,2,10,7,3,6,4,3,3,4,6,0,4,3,4,5,4,6,6,3,9,4,7,7,7,2,4,3,2,1,4,8,3,4,3,2,3,3,6,4,5,3,4,2,4,5,2,1,4,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,2,2,3,1,1,3,4,0,2,3,2,2,4,5,2,3,0,7,2,5,3,3,1,5,1,2,3,2,4,3
3,0,3,2,4,1,2,2,1,3,2,1,6,2,1,0,5,0,2,3,4,2,1,4,3,2,1,5,3,4,2,4,1,2,3,6,6,6,2,1,0,3,2,3,0,2,3,6,2,1,4,3,3,4,8,1,3,4,5,2,2,3,5,3,3,1,2,1,3,4,1,2,8,6,3,2,3,6,1,3,1,5,3,0,2,3,2,2,6,0,4,2,0,2,1,7,6,3,4,4,5,3,2,5,5,2,5,5,1,9,5,1,3,6,1,2,7,2,5,9,7,5,8,3,7,3,5,6,0,0,5,3,6,2,6,1,2,4,3,5,4,7,3,3,3,1,3,6,8,3,1,0,1,1,0,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,0,1,0,4,0,4,3,1,1,3,0,1,6,3,3,2,2,3,4,7,4,3,4,2,2,4,3,3,1,2,2,5,6
4,3,3,2,5,3,4,2,3,2,4,3,2,3,0,7,1,1,2,4,4,2,0,2,2,0,2,3,2,5,4,3,2,2,2,4,3,5,5,3,0,2,6,4,3,3,1,6,0,1,0,3,1,8,3,1,5,1,3,3,3,4,3,0,2,5,3,4,7,2,2,2,3,2,2,1,3,7,7,4,2,4,3,3,4,3,0,3,1,2,3,5,4,2,5,6,1,1,2,4,4,0,0,7,6,2,5,4,9,3,4,8,3,7,4,7,5,2,7,6,9,11,5,3,4,3,2,5,2,6,4,6,6,4,3,14,3,3,1,1,7,0,4,6,4,3,5,3,1,4,2,4,4,1,0,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,4,0,1,1,1,2,3,0,1,1,2,2,1,2,7,4,3,3,5,0,1,2,2,5,4,2,2,2,4,2,3,3
1,1,1,0,2,4,7,4,1,0,4,2,3,3,4,0,2,0,2,5,2,4,5,6,0,3,1,4,6,2,1,2,2,3,1,3,5,1,4,2,3,3,2,3,2,0,3,2,4,3,2,3,1,3,3,4,5,5,0,3,4,2,4,2,4,3,5,1,3,1,1,2,1,2,6,2,0,3,3,5,1,7,2,3,2,1,2,4,2,5,5,1,2,5,6,3,3,1,5,3,4,1,0,7,6,2,4,7,3,2,1,9,7,4,2,2,4,7,2,5,4,6,4,4,4,4,4,2,2,4,4,5,3,5,3,4,6,10,6,3,3,2,4,3,6,2,6,8,1,4,1,6,3,6,3,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,0,0,2,1,0,0,3,1,0,0,2,1,3,1,1,5,6,2,2,1,4,2,3,1,3,4,3,1,3,4,2,14,2,3,4,2
3,2,3,2,2,6,1,6,3,3,3,2,2,3,4,3,3,1,7,2,3,4,4,0,0,2,5,3,1,1,0,2,5,0,2,2,2,2,6,2,2,0,3,3,0,2,1,3,2,2,2,2,6,2,1,8,4,2,4,1,3,3,3,6,4,3,4,3,4,3,4,3,4,0,4,5,1,2,1,1,5,3,2,5,2,0,3,1,2,3,2,1,4,5,2,3,4,0,1,3,5,6,4,3,1,2,2,6,1,7,5,5,4,1,1,1,7,2,5,2,4,4,4,3,8,3,3,6,6,3,6,3,4,3,2,7,1,5,7,3,1,6,8,2,5,2,5,2,3,6,5,1,1,3,3,0,0,0,1,3,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,0,0,0,1,1,0,0,1,1,1,0,1,2,3,6,0,4,2,1,1,4,2,4,3,5,2,1,2,2,4,3,3,6,2,3,3,3,4,1,6
3,2,2,1,2,3,4,2,4,2,0,0,4,5,2,1,0,3,2,3,7,3,3,2,1,1,2,3,1,2,1,4,2,2,6,1,3,5,1,2,1,2,0,2,2,1,2,2,1,3,3,6,0,1,2,5,3,3,3,4,3,2,3,1,8,1,2,2,2,3,4,4,6,3,3,4,0,3,1,0,1,3,1,2,3,1,1,1,4,2,2,3,1,1,3,2,8,3,3,3,5,3,5,11,1,5,0,7,5,0,2,2,2,2,5,5,0,5,8,4,3,6,5,4,6,10,5,4,8,2,3,4,1,5,5,5,4,5,4,3,5,5,2,3,4,7,1,2,3,1,3,5,2,3,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,0,0,2,0,0,0,0,1,2,2,0,0,3,0,0,0,4,0,2,1,2,2,6,1,1,3,2,3,2,2,0,3,1,5,1,1,1,2,5,3,3,3,3,2
4,6,6,1,4,3,5,6,2,1,4,4,4,1,0,3,1,2,4,5,4,2,4,1,4,1,2,3,0,2,2,2,1,3,2,2,4,5,0,0,2,1,0,3,0,4,3,3,3,3,0,3,1,2,2,3,3,2,2,0,0,0,1,2,1,4,4,2,0,2,4,1,2,5,4,3,2,1,7,1,2,0,5,4,3,2,3,1,0,2,0,1,2,6,1,4,4,4,8,5,2,5,7,1,1,5,1,5,3,6,1,1,1,4,3,3,4,3,1,6,3,3,3,4,3,5,3,1,7,4,6,0,7,4,3,7,5,4,5,5,2,1,1,1,4,1,6,1,6,1,2,2,4,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,2,2,3,1,0,2,1,1,1,1,2,5,1,2,5,4,3,2,3,1,1,4,3,0,5,2,4,4,2,2,4,3,1
4,5,5,3,2,2,2,2,2,3,3,2,2,2,3,1,2,1,2,5,3,2,2,2,2,3,3,4,1,2,3,2,7,0,0,3,2,10,4,1,0,1,4,2,2,3,2,2,1,5,1,2,2,4,1,2,6,8,1,3,3,3,2,2,8,2,2,3,4,3,3,6,5,3,3,2,0,1,3,3,1,1,1,3,1,3,2,1,2,2,5,1,3,1,2,3,4,4,4,3,4,3,5,3,4,1,8,5,2,3,2,4,1,3,1,4,3,4,6,5,0,5,4,4,7,5,3,4,8,5,5,3,1,4,4,3,3,3,5,5,2,6,3,5,0,3,3,3,5,2,2,6,2,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,1,2,0,1,0,1,2,1,2,2,2,1,2,3,0,3,0,2,2,3,3,0,3,2,3,1,1,2,3,2,3,2,2,1
3,5,2,3,2,5,3,2,4,2,2,3,2,3,4,5,3,3,2,0,2,2,3,3,3,1,2,2,1,3,2,2,1,3,2,2,5,4,5,2,2,1,4,5,0,1,2,1,0,3,3,5,4,5,3,3,3,1,5,6,1,2,3,2,2,2,3,1,4,0,4,5,4,4,0,1,0,1,3,1,1,1,4,5,0,1,0,2,1,3,3,3,1,4,5,2,4,8,3,5,3,8,4,3,1,5,2,5,1,6,4,3,4,4,4,3,3,2,2,9,4,7,4,3,5,6,1,7,4,10,3,4,3,4,3,1,2,4,2,7,1,3,3,1,3,5,2,3,3,3,2,4,3,2,6,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,2,1,1,0,0,1,1,2,1,2,2,1,1,5,0,5,1,4,3,0,0,3,2,4,4,4,2,4,4,5,3
3,0,2,1,1,2,3,2,4,3,3,3,3,2,2,1,7,3,2,5,1,2,4,3,9,4,2,2,4,3,0,2,5,2,2,1,5,3,2,2,1,3,6,1,4,2,1,4,5,2,3,3,2,2,1,1,2,2,5,2,1,5,3,4,1,1,1,1,1,0,1,2,5,2,3,1,3,3,3,1,2,7,3,2,2,0,3,3,1,2,2,8,1,1,4,2,3,6,4,4,2,4,5,2,6,4,2,6,6,5,5,5,3,2,3,4,3,3,7,2,5,3,6,1,5,3,6,6,6,5,7,3,4,2,2,6,2,4,4,4,5,0,4,3,2,8,3,4,4,3,4,4,0,1,2,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0,3,1,0,0,0,1,3,1,0,3,1,3,1,1,1,2,4,1,1,1,2,5,1,4,3,6,2,3,2,2,1
3,0,2,3,2,5,5,4,3,2,4,5,8,0,3,1,5,4,2,3,2,1,3,4,4,1,3,2,4,2,2,2,2,7,1,4,3,8,3,4,2,1,3,4,2,2,3,2,3,1,3,3,2,3,3,5,1,1,5,4,1,1,2,2,1,2,0,4,2,1,0,1,2,4,3,2,0,2,5,1,1,2,2,7,0,3,5,5,1,2,3,3,2,4,3,1,2,2,5,1,7,5,4,5,7,7,3,3,3,6,2,0,3,4,5,6,4,6,7,3,5,2,4,3,3,3,4,4,2,4,3,4,3,3,4,4,5,3,4,5,2,5,4,4,3,4,1,0,2,3,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,3,2,2,3,1,2,2,2,0,2,1,3,0,5,4,2,2,1,4,2,1,2,7,2,3,4,1,2
3,1,1,5,3,4,7,4,1,1,1,3,2,5,1,3,4,6,3,2,1,0,1,4,3,5,2,2,2,4,3,2,1,3,1,0,3,4,5,4,5,1,2,5,2,2,2,3,3,4,1,7,2,2,9,1,1,3,4,3,1,2,2,1,1,3,4,0,1,1,2,1,4,6,2,3,4,2,3,2,2,2,3,5,2,2,4,2,2,3,5,5,3,1,3,2,3,2,1,5,2,5,8,5,2,5,2,1,2,4,7,1,6,7,4,1,3,5,5,3,3,1,3,3,5,3,5,2,4,0,6,8,7,5,2,2,6,4,5,4,4,1,5,9,4,1,2,6,6,3,0,2,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,2,2,1,3,2,2,1,4,4,0,3,4,3,5,4,0,3,5,7,1,4,5,5,4,1,4,3
5,2,2,3,3,1,2,4,0,0,1,1,4,2,6,2,4,4,1,4,3,3,4,2,1,2,1,1,3,1,4,2,3,5,3,3,4,5,6,2,3,3,4,3,1,4,3,0,2,2,2,6,2,3,1,4,3,2,1,2,4,5,2,4,3,3,7,2,1,1,1,0,1,2,3,3,4,1,2,0,7,1,2,3,4,5,4,2,5,0,5,2,1,2,2,2,4,1,5,4,3,1,4,2,2,6,3,3,5,2,5,4,6,5,2,6,2,6,3,3,5,3,5,8,2,2,0,3,3,4,4,6,2,7,7,2,5,6,0,6,6,3,5,5,3,3,3,2,3,2,5,0,7,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,2,0,1,1,0,0,1,1,1,3,3,1,1,0,3,5,2,2,1,6,3,1,0,2,2,3,4,1,3,4,1,0
4,1,3,2,4,7,4,2,1,3,0,3,4,2,2,3,3,2,2,6,1,2,0,5,1,5,4,2,3,0,2,2,3,1,3,5,2,6,5,2,1,3,3,0,1,4,3,4,2,0,2,0,3,1,1,2,1,4,0,2,4,1,4,4,1,2,2,3,3,2,1,1,1,1,1,2,0,1,4,4,1,1,1,5,5,5,5,2,1,4,1,2,2,3,6,7,2,4,4,2,6,3,3,2,3,3,4,5,2,5,2,2,5,4,8,3,3,5,5,7,1,3,3,2,5,1,7,3,6,4,2,7,8,4,5,2,2,5,6,5,3,5,5,6,4,6,6,3,1,4,6,5,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,4,0,0,0,1,1,2,2,3,1,6,1,1,0,1,1,5,2,0,4,1,3,2,5,6,2,3
6,1,4,4,2,3,2,2,2,2,3,4,4,2,3,1,2,5,2,4,1,1,1,1,5,2,2,2,3,5,1,3,5,3,6,2,1,3,1,3,4,1,2,2,5,0,1,1,3,2,4,2,1,9,2,6,1,3,4,5,3,5,2,1,2,1,2,5,5,3,2,4,2,3,3,2,2,4,3,4,1,4,4,2,4,4,3,4,4,2,6,2,1,2,3,6,4,3,3,8,4,4,5,1,4,4,5,3,6,5,6,1,4,4,5,7,3,4,2,7,4,7,2,3,5,4,2,2,3,4,4,5,4,3,3,3,3,1,5,10,5,8,7,9,5,4,4,7,4,4,5,2,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,3,2,0,1,3,0,1,0,2,2,0,3,2,3,1,1,2,1,4,0,3,1,1,6,4
4,4,3,3,3,6,5,2,4,3,2,6,3,4,2,6,6,4,2,1,5,0,1,1,4,3,1,3,2,3,2,2,6,1,4,4,3,2,4,1,5,2,3,1,5,4,2,6,0,3,2,4,2,5,2,1,4,2,4,3,2,1,0,2,2,2,2,2,3,3,2,2,6,3,3,0,1,0,3,1,1,2,5,3,2,2,3,1,5,2,0,2,2,2,8,0,3,5,2,1,3,2,6,5,2,3,4,6,0,3,4,4,3,3,4,3,5,0,2,5,3,5,3,3,4,2,3,2,8,8,6,3,7,8,0,2,7,6,3,8,2,5,3,4,3,1,7,3,5,1,8,6,3,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,1,0,1,1,3,1,2,2,4,1,2,3,1,4,2,5,3,2,3,2,1,4,1,0,1
2,5,1,5,3,1,1,3,1,0,0,3,2,2,1,6,0,4,0,6,4,3,5,6,2,6,4,2,3,0,3,3,2,2,5,2,3,1,0,5,5,1,5,0,2,2,1,2,3,4,3,2,2,2,3,4,3,1,4,2,4,2,3,2,3,4,2,3,4,1,4,2,3,2,0,5,2,1,3,4,1,1,2,2,2,1,2,1,3,2,2,1,1,1,2,0,3,0,2,4,6,4,4,5,3,3,4,3,2,4,3,2,2,2,4,3,0,3,7,4,4,7,3,3,5,8,5,4,3,5,7,5,5,2,7,2,8,4,3,5,5,4,1,5,5,6,3,4,7,3,3,4,5,5,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,2,0,1,0,2,1,5,4,2,1,4,3,1,3,1,3,3,2,3,3,1,3,3,2
1,5,5,3,2,4,3,2,7,2,2,2,1,3,2,5,5,3,8,1,4,2,2,4,3,5,1,4,3,0,2,4,2,3,1,2,3,1,3,2,3,4,2,2,3,4,2,5,2,2,2,4,3,4,4,1,5,2,4,3,5,1,0,2,5,5,5,2,3,2,3,4,7,1,3,1,1,2,4,0,5,4,6,3,0,1,0,3,2,2,7,3,3,0,2,4,3,1,3,3,4,5,6,3,5,7,3,6,4,2,3,11,2,7,5,5,5,0,3,7,6,1,9,6,8,4,6,3,6,6,2,2,2,4,3,2,3,2,0,5,4,2,5,2,5,2,3,4,5,2,5,1,3,1,3,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,2,0,1,2,1,0,0,3,4,1,1,2,5,5,1,0,2,0,8,3,2,3,3,5
3,1,4,2,4,3,3,8,4,2,1,4,5,0,1,2,4,2,3,1,4,0,2,1,5,2,3,3,4,2,2,0,3,2,4,2,4,2,1,1,5,4,4,1,1,0,2,2,3,3,1,1,3,3,1,2,2,5,4,2,2,1,2,1,5,5,8,4,3,4,3,0,0,1,2,2,2,1,1,5,3,2,4,1,7,2,1,0,1,5,1,5,2,2,3,1,3,3,2,1,4,5,3,1,8,5,2,3,1,6,3,6,6,3,3,2,4,6,3,1,3,1,2,2,2,5,7,4,8,6,1,9,0,6,3,6,3,4,6,4,3,3,2,2,3,5,1,3,6,5,2,2,2,2,1,2,3,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,0,2,1,2,1,0,2,1,0,0,1,2,3,5,10,2,2,2,4,4,1,3,3,2,0,2,3,3,1
2,6,1,1,4,0,3,4,1,2,3,4,1,3,5,4,4,4,0,5,1,2,3,5,7,3,0,1,2,2,4,6,3,1,3,0,1,1,3,3,4,1,6,2,2,0,2,5,3,1,2,2,1,3,3,3,4,4,7,1,7,1,2,3,1,1,3,2,2,0,2,3,0,2,4,7,2,6,4,3,0,1,1,4,5,4,2,0,1,5,5,3,7,5,1,0,3,4,0,2,3,6,8,4,5,6,4,5,3,2,3,6,6,6,6,4,3,3,4,6,2,5,4,5,6,1,3,6,1,8,3,4,6,9,2,0,3,2,1,5,7,2,4,4,5,2,2,4,4,4,3,3,7,0,1,0,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,2,3,3,0,3,0,4,1,4,1,0,1,1,4,1,3,3,5,1,5,4,3,2
1,1,1,1,2,0,1,1,3,3,5,6,0,1,1,3,1,2,3,0,9,1,2,1,2,6,2,4,5,4,1,2,2,4,1,2,4,7,2,1,5,1,7,5,8,3,3,2,6,4,3,4,4,1,2,4,3,2,2,2,0,1,2,1,6,2,1,7,1,5,3,2,1,3,2,1,3,0,4,3,4,2,3,4,3,3,5,0,5,2,1,4,5,4,2,3,1,1,4,2,0,4,3,8,3,2,5,9,8,5,3,0,10,6,9,5,1,2,4,8,2,3,4,3,5,3,3,2,5,9,5,7,5,8,5,3,5,2,6,3,8,7,5,1,5,4,3,7,2,3,2,6,3,4,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,0,1,0,0,0,3,1,0,0,2,3,0,0,0,4,1,4,5,4,3,3,1,3,3,4
0,4,4,0,1,6,4,1,3,1,4,4,5,1,1,2,1,2,3,3,2,6,1,1,3,2,1,4,2,1,2,4,1,3,2,7,5,1,8,6,3,3,1,4,5,0,1,1,5,4,1,4,2,2,1,5,2,1,3,5,4,1,2,2,2,3,4,3,2,2,2,0,2,4,2,1,1,3,5,1,1,3,3,1,2,3,2,3,1,3,5,0,5,4,3,3,4,2,2,2,2,5,6,8,3,4,5,2,8,2,9,4,4,6,1,2,3,6,5,2,0,9,5,3,4,5,2,6,3,5,5,6,6,5,7,4,4,5,4,4,5,2,2,3,6,5,2,5,3,6,4,3,4,3,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,4,0,0,1,1,1,0,1,3,0,4,4,2,1,2,9,2,1,2,2,7,6,2,4,3,4
0,3,3,2,2,2,0,0,1,1,3,2,3,3,0,4,3,2,3,1,2,3,3,0,3,3,3,3,3,5,5,4,4,3,3,3,2,2,2,0,3,5,4,2,1,3,0,4,2,5,1,1,3,2,3,6,5,3,3,1,4,0,0,4,1,2,0,3,3,1,1,1,1,2,1,2,4,2,2,5,2,0,1,5,8,1,7,5,2,0,2,4,0,2,4,0,4,3,2,1,2,4,4,2,3,1,3,3,8,5,5,4,7,6,3,8,2,5,7,2,6,11,7,3,4,2,5,4,10,4,4,2,1,6,2,1,2,5,7,6,3,5,4,1,7,5,7,4,7,6,5,6,8,2,2,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,2,2,0,2,4,1,4,3,0,2,2,2,2,3,3,1,4,3,6,2,5
3,3,3,3,5,0,1,3,3,2,6,4,3,4,2,2,0,4,3,3,1,3,2,1,3,0,0,2,4,7,2,4,1,2,5,0,4,5,3,4,4,1,4,4,1,3,4,3,1,0,1,4,3,2,3,4,7,1,1,6,1,3,4,1,2,4,3,1,4,2,2,4,1,0,0,2,2,5,5,4,4,1,1,2,2,1,1,1,4,2,4,0,0,7,1,4,8,0,6,2,4,6,7,4,3,13,2,3,5,2,3,3,2,5,6,3,3,5,5,2,2,1,4,6,1,2,4,1,2,6,8,3,2,5,5,1,2,2,0,2,5,5,6,4,7,8,6,2,3,2,5,3,6,3,3,1,4,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,3,3,2,5,2,2,4,0,2,1,4,2,4,6,3,3,3,0,2,1
5,2,3,3,6,4,1,0,3,1,2,5,4,3,7,2,2,2,7,2,3,5,3,2,1,3,0,3,3,0,5,4,2,0,3,5,1,0,2,4,4,5,1,2,3,4,3,3,5,4,4,0,4,4,1,1,7,1,6,4,4,5,3,0,2,2,1,3,2,2,2,2,2,5,0,1,2,3,1,5,5,0,1,3,3,1,3,5,4,2,0,2,2,1,0,1,1,2,2,6,6,3,4,3,6,8,7,8,4,6,3,3,5,4,8,4,4,7,4,2,2,4,7,4,5,1,3,0,5,6,3,7,2,3,4,5,5,5,5,1,4,5,7,7,1,6,4,5,5,3,1,7,3,3,1,2,2,0,0,2,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,1,3,1,0,1,2,4,5,5,0,5,1,2,2,4,2,5,3,6
1,0,1,2,3,5,3,4,0,1,1,5,1,3,5,4,1,3,2,2,1,3,1,3,1,4,0,2,4,1,0,6,6,1,5,2,3,5,2,3,3,2,3,3,5,3,3,0,4,2,3,3,1,3,4,0,5,2,3,6,4,0,3,3,2,0,3,3,2,3,3,1,2,2,0,3,1,3,2,3,6,2,1,3,3,0,1,2,2,6,3,3,1,3,4,3,2,2,7,3,3,2,5,2,5,1,6,3,4,3,3,7,3,3,4,4,3,5,1,6,5,1,7,5,3,8,3,4,5,6,2,3,5,0,5,4,3,1,4,4,1,7,2,2,3,2,5,4,3,3,5,3,2,6,1,2,1,1,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,4,2,2,3,5,5,6,1,6,0,0,2,3,4,4,2
6,4,3,3,3,1,3,6,1,1,3,3,2,3,2,2,3,1,9,1,0,5,4,6,5,3,4,2,6,3,0,1,2,3,4,3,2,4,3,2,3,0,2,2,1,7,2,4,4,5,2,2,4,2,2,3,4,2,1,4,1,3,6,2,3,4,2,4,3,0,2,1,3,3,0,2,5,1,3,5,5,0,1,5,2,1,4,4,5,3,1,1,1,3,1,4,2,2,1,6,4,3,3,1,1,1,2,6,2,3,6,0,4,7,6,4,4,2,5,3,4,3,4,4,1,2,6,5,6,5,3,6,2,3,8,5,4,3,6,4,5,5,2,1,8,3,6,3,7,3,4,3,4,5,3,5,5,3,2,0,1,2,0,0,0,1,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,3,1,0,0,1,2,1,2,3,0,1,6,2,1,3,1,1,4,1,1,2
9,2,3,2,2,4,5,1,7,1,2,4,2,1,2,5,0,2,5,2,3,6,2,2,4,0,1,2,2,3,2,4,2,1,2,3,3,2,1,2,1,1,2,2,0,4,2,3,1,4,2,1,0,4,3,2,1,1,10,1,3,4,1,3,4,1,2,1,2,0,4,1,4,3,2,1,0,3,0,3,3,1,2,0,2,1,4,3,3,2,1,4,2,4,2,3,0,3,4,3,3,5,3,5,5,5,6,3,6,2,5,5,3,4,4,3,6,2,5,3,6,5,3,5,4,5,4,5,2,7,4,3,4,9,3,4,2,6,5,5,3,5,2,2,2,2,3,3,5,3,3,2,6,2,2,6,3,4,2,2,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,1,2,1,0,0,1,2,0,0,1,3,2,1,1,1,1,3,4,1,1,2,3
3,3,4,3,1,0,3,4,3,1,2,1,3,4,1,2,0,2,2,6,5,3,2,10,5,2,4,2,5,5,3,5,2,3,5,1,3,2,3,1,5,1,4,2,2,2,1,3,2,2,6,2,3,0,3,1,3,2,3,4,6,6,7,1,2,3,3,1,2,4,2,3,3,1,3,5,2,2,1,0,5,5,1,5,2,4,3,3,1,5,4,2,0,4,6,1,6,4,5,1,6,6,2,3,2,6,5,1,6,1,5,6,5,8,7,1,2,4,5,7,3,1,3,6,4,3,7,4,3,5,3,3,7,3,10,6,5,4,7,6,3,2,2,3,5,6,4,2,3,7,2,4,6,5,6,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,2,2,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,5,1,2,0,0,0,1,2,0,2,0,0,5,1,2,2,4,3,2,3,3,4
0,4,4,0,1,2,2,4,1,3,5,1,3,3,7,4,3,2,2,3,6,0,0,4,2,1,0,5,4,3,3,4,1,5,0,2,5,3,4,2,3,2,4,3,3,1,0,2,3,5,5,3,5,2,0,1,2,0,0,1,2,2,1,4,5,0,1,3,1,3,1,7,1,1,1,6,2,0,1,2,3,3,1,1,2,1,3,2,0,3,4,6,1,4,2,2,2,5,2,3,1,0,4,1,3,7,5,5,2,5,6,2,3,2,6,5,1,6,4,3,6,3,2,4,3,3,4,1,6,4,4,6,2,4,3,4,3,2,1,1,2,3,4,4,4,3,1,0,2,2,1,2,2,6,1,3,2,2,1,3,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,4,0,0,0,1,1,1,1,4,1,2,1,3,2,2,1,1,4,4,6,1,1
4,2,1,1,0,4,1,3,3,3,4,1,2,4,3,4,4,4,2,3,3,1,4,4,1,4,1,0,1,0,1,5,2,1,4,3,4,0,2,5,2,3,1,2,6,3,3,2,2,3,0,1,1,4,2,7,2,0,4,1,3,0,6,2,4,3,5,3,3,0,2,1,2,1,0,2,6,4,3,2,2,0,0,3,0,3,7,4,4,1,2,2,2,5,2,4,3,2,4,2,1,3,2,3,2,3,2,5,4,6,8,4,3,1,6,3,8,3,1,8,5,3,2,2,6,2,4,5,4,1,2,0,5,4,3,4,2,6,3,2,11,1,7,1,3,2,3,4,2,5,2,3,5,4,5,1,2,4,0,0,0,0,1,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,2,4,2,1,0,0,2,0,0,2,3,4,2,1,3,6,3,5,2
4,2,0,2,4,5,5,0,3,3,3,4,6,4,6,2,5,1,2,5,3,3,3,4,3,2,3,8,2,4,2,3,4,1,4,0,4,1,6,1,2,4,0,1,2,3,2,2,2,0,4,2,1,5,4,3,2,5,2,2,3,1,2,3,2,7,5,2,4,3,3,1,0,1,0,2,2,0,4,3,5,4,1,1,2,2,4,4,0,0,2,2,2,2,2,4,1,2,2,1,7,2,3,5,2,2,3,5,4,1,5,2,1,4,2,3,5,10,2,7,3,6,4,3,2,3,3,8,2,1,4,4,3,5,6,5,8,4,8,7,5,6,4,6,6,2,3,0,2,4,2,8,4,3,4,4,2,1,2,0,0,1,0,1,1,0,1,3,0,0,1,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,2,0,0,1,1,1,0,0,0,0,0,2,2,5,1,2,4,1,2,3,3,2,6
4,4,1,2,4,4,5,3,2,0,1,3,3,2,5,4,5,3,2,4,3,4,4,2,3,3,3,1,1,0,1,3,7,3,2,2,2,4,9,0,2,4,4,2,3,2,1,5,4,3,3,4,5,1,4,9,3,3,2,1,0,1,1,1,3,4,7,1,6,2,4,4,3,0,4,1,2,4,1,3,1,1,1,0,3,1,1,4,2,2,2,0,1,1,4,4,4,5,1,0,3,5,4,2,2,2,3,8,2,4,4,6,2,4,1,4,3,2,2,5,4,6,2,7,5,2,3,7,5,3,2,4,3,6,1,3,3,6,8,5,6,7,4,3,2,3,6,2,5,4,3,1,2,5,1,5,4,4,1,0,0,1,0,1,1,1,1,0,2,2,0,1,0,0,0,0,0,0,0,1,0,2,0,0,0,0,2,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,2,0,1,0,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,2,1,2,2,2,5,4,3,1,1,4,2,4,1,1,4,3
1,2,5,0,6,1,2,3,2,0,2,1,2,7,3,8,1,5,7,2,5,2,5,2,7,4,0,2,3,4,2,1,4,6,5,2,2,1,5,1,6,3,1,4,4,1,6,6,3,2,2,3,5,0,0,4,2,3,4,2,2,1,0,0,2,4,0,0,4,6,2,3,3,1,4,2,2,0,2,5,4,3,2,2,1,3,2,3,2,3,1,3,3,1,5,6,3,6,8,4,2,4,1,1,2,3,2,3,4,4,3,0,4,5,8,4,5,4,5,1,7,5,2,5,1,10,5,2,6,7,4,4,6,7,2,5,2,4,3,4,9,9,5,5,2,4,3,5,5,9,2,4,3,4,3,1,4,1,1,0,0,0,0,1,1,1,4,2,3,2,0,0,1,0,0,0,1,0,1,1,0,0,1,1,0,2,0,2,0,0,0,1,0,1,0,0,1,0,0,0,0,2,1,0,0,0,2,0,1,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,2,2,1,1,1,2,1,2,2,2,1,5,2,1,3,5,1,2
4,2,1,3,1,1,1,2,2,2,7,3,4,3,2,3,6,1,2,4,0,3,6,2,4,9,1,5,0,4,4,3,5,3,2,1,1,2,2,4,3,2,1,1,4,0,5,4,4,3,5,0,3,1,0,0,4,5,4,1,3,2,4,4,7,5,2,2,1,1,0,2,0,2,3,2,1,3,2,2,3,2,2,3,6,3,4,1,6,4,1,3,3,1,2,5,3,4,1,1,0,5,8,4,2,3,5,2,6,3,2,2,3,3,5,1,2,7,2,4,2,5,6,2,2,5,3,5,2,5,5,4,7,7,3,3,7,4,4,5,6,11,3,3,2,5,4,2,8,6,3,7,5,3,7,7,5,0,0,0,0,0,0,0,3,1,2,3,0,1,2,2,1,0,2,1,0,0,1,0,1,0,2,0,1,0,2,0,2,0,0,0,2,1,0,0,0,2,0,0,0,2,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,2,0,0,0,0,0,0,1,0,0,4,0,0,2,0,1,3,1,0,2,2,5,3,2,4,1,2,0,6,2,2
3,2,4,4,0,1,1,1,0,2,1,4,2,3,4,2,3,2,4,2,1,2,2,2,4,5,4,1,2,5,1,6,4,8,3,4,1,4,3,5,2,1,3,1,3,1,1,1,4,2,4,3,2,4,3,2,3,2,2,2,5,3,7,5,2,5,2,2,5,0,2,3,2,2,1,0,2,4,2,4,1,2,0,1,0,1,4,2,2,2,3,3,2,3,1,3,2,6,0,3,1,4,5,2,4,2,5,2,2,5,2,5,5,5,4,4,3,3,4,5,6,3,3,4,6,2,6,3,7,7,2,5,5,5,8,4,6,1,3,5,4,0,5,2,0,4,4,7,6,8,5,1,3,2,3,1,5,2,1,1,1,1,2,1,0,1,0,1,1,1,0,1,2,0,1,0,0,2,1,0,2,1,0,0,1,3,0,0,2,0,0,0,2,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,4,1,1,1,2,0,0,1,0,1,4,2,4,0,2,1,2,2,2,2,6,3,2
3,1,1,1,0,1,4,0,4,0,2,2,4,3,2,1,2,2,2,3,3,4,7,3,2,4,3,6,0,0,3,3,4,5,5,1,2,2,3,2,3,0,5,2,4,4,0,4,5,4,0,1,1,1,3,0,0,0,2,5,0,9,2,3,2,5,1,5,3,4,4,2,2,1,3,0,1,2,2,3,4,5,6,3,1,1,7,3,0,1,2,2,2,2,1,4,5,6,2,4,6,0,1,2,4,8,3,6,2,5,7,3,2,4,3,2,5,2,4,4,1,2,4,3,6,3,5,4,1,3,3,4,3,4,6,5,4,8,4,5,2,4,3,3,4,1,0,4,8,3,4,6,4,2,4,2,1,3,2,2,1,0,0,0,1,0,1,0,0,2,3,2,1,1,0,0,0,1,1,2,2,2,1,0,0,0,0,2,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,2,0,0,0,4,1,0,1,2,0,0,0,0,0,1,0,0,2,1,2,1,1,1,3,0,0,2,5,0,2,3,2,2,4,2,1,6,5
1,3,0,2,1,4,1,2,2,5,0,2,2,6,1,2,4,1,2,3,0,5,3,0,1,1,3,3,2,1,1,3,2,0,3,1,4,1,3,2,9,4,1,3,2,4,4,3,3,2,1,2,2,6,3,3,0,1,5,3,5,5,3,2,2,2,3,2,2,4,2,0,1,3,2,1,1,3,2,2,2,1,2,4,2,0,0,3,1,1,2,5,3,3,0,4,4,5,1,1,1,2,2,5,4,2,0,2,0,3,2,5,3,4,5,4,4,4,1,5,5,7,6,0,2,3,5,1,2,2,3,5,4,3,6,4,5,3,3,4,4,8,7,4,7,2,13,8,7,2,3,3,2,0,3,2,1,1,2,0,0,0,0,0,0,1,0,0,1,1,0,1,2,1,0,1,0,0,0,0,1,0,2,1,2,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,1,3,1,0,1,0,0,1,3,0,1,1,1,0,0,0,0,2,2,0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,1,2,1,0,1,0,2,0,0,2,0,1,2,1,5,1,2,3,3,3,1,3
8,3,0,1,1,1,3,1,1,3,4,2,3,2,3,5,3,2,2,3,2,5,1,4,0,3,2,3,4,4,2,1,0,4,0,4,2,1,1,4,0,3,1,4,6,2,2,2,4,4,3,3,3,1,2,3,4,2,3,1,2,2,3,2,1,3,1,5,2,1,0,2,1,3,4,3,2,4,0,1,4,3,4,5,3,5,3,2,2,4,0,1,3,3,3,2,5,4,4,2,1,4,0,4,1,0,3,4,4,1,2,5,3,1,1,6,1,3,6,4,3,5,4,4,6,6,4,12,2,2,2,1,3,2,2,7,8,6,0,3,4,5,6,8,3,1,2,1,3,6,2,3,1,3,3,4,3,0,1,1,0,0,0,2,0,1,1,0,0,1,1,2,1,4,0,0,1,1,0,1,0,0,1,0,0,2,2,0,1,2,0,2,1,1,0,0,2,0,0,1,0,0,1,1,1,1,0,0,1,1,0,2,1,0,0,1,4,0,1,0,2,2,1,3,2,1,1,0,0,1,1,3,0,1,1,1,0,1,2,1,2,1,0,2,3,3,3,3,1,2,1,2,3,5,2,5
3,0,4,0,6,3,4,2,5,6,5,4,6,4,4,7,4,2,1,1,2,2,3,1,3,1,5,5,2,1,2,1,0,6,1,4,5,4,2,4,3,4,4,2,6,3,3,2,4,4,2,5,5,1,5,2,4,2,2,3,3,2,5,2,1,3,2,2,8,3,5,2,3,3,1,0,0,2,3,1,1,2,1,1,4,4,3,3,2,2,0,4,4,3,2,2,3,0,3,1,3,1,1,2,2,0,1,5,2,2,2,4,9,3,6,5,5,6,5,7,4,2,2,6,1,3,3,5,4,3,5,3,7,0,3,3,5,5,8,3,3,4,9,6,3,4,3,2,5,7,4,2,7,4,2,1,2,3,0,1,0,1,0,0,1,1,1,1,1,0,1,1,2,0,2,0,0,0,3,0,0,1,3,2,0,1,2,1,0,0,0,3,1,0,0,1,1,1,1,1,0,0,2,1,2,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,3,1,1,1,1,0,0,0,1,0,1,1,1,2,2,1,5,1,2,1,1,2,2,3,1,2,5,2,5
5,1,2,0,1,0,1,2,1,1,4,2,3,5,3,3,1,3,1,4,0,2,3,5,5,5,3,1,1,3,3,2,1,2,2,4,5,5,2,4,1,4,1,2,0,3,1,2,4,3,3,6,5,2,1,2,3,2,6,2,1,1,3,3,1,4,3,5,4,2,7,4,1,2,2,3,2,2,4,4,3,1,3,2,2,5,3,3,3,2,1,1,1,2,5,6,2,3,4,2,1,3,1,3,1,1,3,6,2,2,2,3,1,2,3,2,6,3,4,2,2,4,1,3,5,4,6,4,1,2,4,5,3,4,4,5,7,4,7,4,3,6,4,5,5,5,4,3,2,1,2,4,2,2,6,2,3,4,0,0,0,0,2,2,0,0,0,0,4,1,1,1,1,1,2,0,0,1,0,0,1,1,0,0,0,1,1,1,0,0,2,0,2,1,0,0,1,0,1,1,0,2,1,0,0,0,1,0,1,0,1,1,0,1,1,2,1,1,2,2,1,2,1,2,0,0,1,0,1,2,0,0,1,0,0,1,2,1,3,1,1,1,4,1,4,0,3,0,1,3,1,6,2,1,3,0
4,1,1,2,1,3,1,0,2,1,0,3,5,5,3,6,3,0,3,4,3,1,3,2,1,3,2,2,1,2,1,1,3,6,3,2,3,3,7,5,1,2,5,2,2,1,1,1,0,8,2,4,1,2,5,3,1,0,6,4,1,2,3,2,2,3,1,1,0,1,2,3,1,2,2,1,6,3,4,5,3,1,3,5,4,2,3,1,1,4,2,2,6,0,6,0,4,4,3,1,3,1,2,3,1,4,3,1,2,2,4,2,2,4,1,1,2,4,5,7,2,7,4,2,2,6,8,3,7,4,4,6,2,1,4,4,2,6,5,6,1,8,4,4,3,3,5,8,3,3,2,8,4,3,0,1,1,1,0,0,1,1,2,2,1,0,0,1,0,0,2,0,2,0,1,0,0,1,0,3,1,1,0,2,0,2,3,0,1,0,0,2,1,0,1,1,1,1,0,1,0,1,2,2,0,3,0,0,0,0,0,0,0,2,3,2,2,1,1,0,1,1,0,0,0,2,0,0,0,0,4,2,1,3,0,1,1,0,3,2,2,2,1,1,1,0,1,2,0,4,3,5,3,7,1,5
3,4,2,4,2,2,2,5,4,3,3,4,3,1,2,4,8,2,4,2,2,4,5,2,3,1,1,5,5,5,0,4,3,5,5,3,1,2,5,3,2,4,3,3,2,2,3,1,2,3,1,5,2,3,2,3,8,2,2,5,6,2,5,3,3,5,0,4,2,4,5,3,1,2,2,1,4,3,4,1,3,2,1,4,3,5,4,3,3,1,3,4,1,2,7,1,3,3,0,3,1,3,3,4,1,1,0,4,5,2,4,3,3,4,4,6,4,1,7,3,4,4,8,5,0,3,3,1,8,8,2,6,5,5,4,4,2,7,5,4,2,3,5,7,6,8,0,4,3,4,4,5,3,6,1,1,3,1,0,1,0,0,0,0,0,1,0,1,2,3,0,0,0,0,1,1,2,3,2,1,0,0,0,1,1,1,0,0,0,1,0,1,2,1,1,0,3,0,1,1,1,1,1,2,1,1,1,1,0,0,0,1,0,1,0,1,0,2,0,0,1,1,2,2,2,2,1,1,2,0,2,3,0,2,0,2,2,2,3,1,2,2,0,4,3,2,3,5,1,4,4,3,0,4,2,2
4,2,1,3,2,3,1,1,2,4,5,3,1,2,2,2,1,3,2,0,4,4,1,4,2,5,2,2,5,1,2,2,1,3,3,4,2,0,2,3,3,4,2,4,5,1,1,3,3,2,0,3,3,4,3,3,4,6,6,2,2,4,1,4,3,2,0,4,5,2,3,3,3,5,2,5,5,3,0,2,5,1,2,1,2,4,2,3,0,1,2,5,4,3,6,3,4,2,1,0,3,3,3,1,2,1,3,4,4,0,2,3,3,4,2,6,3,8,6,3,1,2,3,4,6,4,1,3,6,6,6,1,4,4,3,5,5,3,2,6,4,2,7,4,5,1,6,3,7,4,5,3,2,3,3,0,1,0,0,1,1,0,1,2,0,0,0,2,2,0,0,0,1,0,0,0,1,2,0,4,0,0,1,1,1,0,1,1,2,0,0,0,1,2,1,0,1,1,1,0,2,0,2,0,1,0,1,1,0,0,0,1,0,2,1,3,1,0,1,2,0,0,0,1,1,0,1,2,2,3,1,2,2,3,1,1,4,1,2,1,4,2,1,3,0,4,2,2,2,1,4,2,4,4,3,3
0,3,2,1,2,3,2,1,2,3,1,5,1,1,3,1,1,0,2,3,4,2,1,5,6,1,3,1,3,3,3,1,3,5,3,4,0,4,1,4,3,3,2,4,3,5,1,4,1,7,1,5,8,3,1,1,0,3,2,1,5,2,4,6,3,1,3,3,6,4,1,4,4,2,0,4,3,3,2,6,2,2,4,4,4,3,2,2,2,9,4,3,4,0,1,2,4,3,4,1,1,1,2,2,2,1,4,3,3,1,5,4,4,2,2,4,7,8,3,8,7,3,4,4,5,7,4,7,4,2,3,1,3,4,5,1,4,1,5,3,3,4,4,4,5,3,5,2,8,4,5,9,4,2,5,1,1,2,1,1,1,0,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,2,0,2,0,2,3,0,0,0,0,0,0,1,0,2,3,0,1,1,0,0,0,3,0,0,3,2,0,1,1,0,1,0,2,1,1,1,1,0,1,1,0,1,2,0,1,1,0,2,0,1,2,1,0,1,1,3,2,0,1,0,1,3,2,3,4,5,2,4,1,3,1,0,3
1,8,4,1,7,2,2,0,1,5,2,2,2,1,0,5,7,4,4,4,4,6,0,4,1,2,2,0,3,8,2,3,2,5,5,3,0,4,3,2,4,6,3,3,2,3,4,3,4,2,1,2,2,1,3,3,1,0,3,4,4,4,5,2,1,4,3,1,1,1,6,5,3,1,2,0,3,1,5,2,7,1,2,5,1,4,6,2,2,3,1,1,3,5,3,4,3,4,2,2,2,2,0,4,4,2,5,1,7,2,3,3,4,1,2,3,4,2,3,3,4,1,2,4,6,4,3,1,4,3,7,3,5,6,4,3,7,4,5,6,3,4,5,5,3,5,3,2,5,4,4,5,4,2,0,2,0,0,0,1,1,2,0,0,2,0,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,1,2,0,1,2,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,2,0,0,0,0,2,0,0,0,0,0,3,0,0,1,0,1,2,2,3,0,0,0,1,0,1,0,0,3,2,0,1,1,2,0,0,0,3,1,1,2,1,0,3,11,3,3,4,3,2,5,4,1,1
2,4,2,1,4,4,3,0,1,3,4,2,2,6,3,3,3,1,4,3,5,1,4,2,5,3,4,3,2,2,2,3,1,3,3,1,4,2,5,1,3,3,5,3,3,2,5,1,6,1,1,5,2,2,5,1,4,2,0,5,1,1,3,6,1,4,3,3,5,5,4,6,2,2,1,1,1,2,5,4,1,4,5,4,2,1,2,5,2,3,4,3,3,3,2,4,2,2,4,2,4,5,3,3,1,2,5,2,2,2,1,5,5,3,2,2,5,2,2,5,9,7,4,4,2,5,0,6,6,2,6,2,4,4,4,4,3,1,2,6,6,8,3,3,5,2,6,3,4,3,4,8,3,2,4,0,0,2,2,0,1,0,2,0,2,0,1,1,0,0,0,0,0,0,0,0,0,2,0,0,0,2,1,0,0,1,0,2,1,1,2,0,0,0,0,0,1,0,0,0,1,1,2,1,1,2,0,2,1,0,0,1,1,2,1,0,1,3,3,2,0,0,4,0,2,0,1,0,2,2,4,0,0,4,4,4,0,0,2,1,2,2,4,2,3,1,2,4,4,4,1,3,6,3,4,1
2,0,2,2,2,1,2,0,3,0,4,2,3,7,0,5,1,7,6,4,3,6,3,1,2,1,0,4,2,1,2,6,1,2,1,6,4,2,3,3,2,4,4,4,3,3,4,2,2,2,2,3,0,4,4,2,0,3,7,5,2,6,4,1,4,1,1,3,6,4,4,1,3,4,1,1,1,1,2,4,2,4,3,2,9,2,5,0,1,1,2,4,1,3,4,4,4,6,4,7,4,8,2,4,1,5,1,2,2,5,2,3,2,4,1,5,7,4,4,9,7,5,2,5,7,4,2,2,4,4,2,6,2,2,8,2,5,5,5,0,4,5,6,7,2,4,5,4,5,4,5,2,2,3,3,0,2,0,0,2,0,1,2,0,0,1,0,3,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,3,1,0,4,1,1,0,0,0,1,3,1,0,1,1,1,0,1,2,2,2,1,2,0,0,0,1,0,1,2,1,1,0,2,3,0,3,3,0,0,0,1,0,1,3,4,1,1,1,1,5,0,0,2,2,3,2,4,3,2,2,2,5,4,2,0,1,0,1,1
1,2,2,1,4,2,1,2,2,1,0,5,5,3,2,5,3,3,2,3,3,3,2,1,5,1,1,1,1,3,3,5,3,3,2,2,5,2,0,2,2,0,8,2,5,1,3,3,0,6,3,4,1,3,2,1,8,3,2,2,2,4,4,3,1,1,3,1,4,2,4,0,3,2,3,3,1,5,2,1,3,0,3,4,2,2,3,2,0,1,1,2,0,3,2,6,5,5,5,4,4,4,7,1,3,9,0,2,5,2,4,1,8,2,1,4,7,5,5,3,8,5,5,6,2,1,1,6,4,3,3,2,4,1,5,7,5,6,3,4,5,6,8,1,8,4,6,8,2,1,6,2,2,3,1,0,0,1,0,1,2,2,0,0,1,2,0,1,1,0,2,0,0,0,2,0,1,0,0,0,1,3,1,0,2,1,0,0,0,0,1,1,0,0,2,2,1,0,0,2,0,0,0,0,0,0,2,0,1,0,0,1,1,3,2,0,0,2,2,0,0,2,5,3,0,0,2,1,1,2,4,2,1,3,0,5,0,2,1,2,3,2,2,0,4,2,0,1,1,5,4,3,1,3,1,2
0,3,2,3,1,2,3,1,5,3,5,4,3,1,3,1,3,6,3,4,2,4,2,0,2,4,2,0,1,2,4,2,1,0,2,1,1,1,3,1,2,1,4,5,4,3,2,2,1,2,3,1,2,6,2,1,1,1,2,6,1,2,4,3,3,6,2,3,2,5,2,1,2,4,2,0,1,1,0,2,2,1,1,1,5,2,4,1,7,5,6,3,2,3,2,4,5,3,2,1,2,2,0,6,0,3,2,0,2,8,2,3,4,4,2,5,2,4,5,3,2,5,4,1,3,4,4,6,6,3,8,6,6,4,5,9,3,7,3,4,3,2,7,3,5,3,7,0,10,1,8,2,3,2,2,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,1,0,0,1,1,0,1,0,0,0,0,1,1,1,1,0,1,0,0,0,1,1,1,0,0,0,1,0,2,0,4,0,3,0,2,0,1,1,0,0,1,2,2,1,2,3,0,0,1,1,1,2,2,1,5,1,1,2,3,7,6,1,2,3,2,1,1,8,2,3,1,2,1,0,3,3,1,5,1,1,3,4,5,2,1,3
4,3,3,5,2,2,3,1,1,3,4,2,1,2,3,3,2,3,1,2,5,4,3,1,3,2,1,0,1,2,6,4,1,1,3,0,3,4,2,4,3,3,1,2,4,1,2,1,1,2,3,1,2,2,3,3,3,2,3,4,5,3,5,2,3,1,5,0,0,1,4,2,2,6,1,4,4,2,3,2,1,2,3,3,1,3,2,2,2,3,2,2,1,4,3,5,2,3,2,3,2,4,4,2,4,4,2,5,3,4,4,1,2,5,7,4,3,3,3,4,6,5,5,4,4,2,4,0,3,2,6,3,5,4,4,8,3,4,5,5,3,2,4,6,3,5,5,3,3,1,4,4,0,1,1,1,1,2,0,0,0,0,1,4,1,2,1,0,1,0,0,0,2,2,1,1,1,0,0,0,1,1,1,1,0,0,0,0,3,0,5,0,0,0,1,0,3,1,0,1,1,0,2,1,2,0,1,2,0,4,1,0,1,1,1,1,3,3,1,0,0,1,2,0,5,5,5,1,3,1,4,2,3,6,1,4,2,4,2,2,5,2,1,5,5,2,7,4,1,3,4,4,6,3,4,0
2,1,2,2,1,5,9,5,3,4,1,2,6,5,5,2,4,4,3,6,4,4,3,2,3,4,3,5,2,2,1,2,3,3,1,2,2,2,3,1,2,4,2,5,3,5,6,1,3,3,4,5,3,1,1,0,2,4,1,3,6,5,1,6,4,3,1,5,2,5,1,4,2,2,4,1,3,3,4,4,2,1,4,2,4,2,3,4,2,4,2,2,4,2,0,5,2,1,4,0,5,1,0,1,5,2,2,3,2,5,3,4,2,5,2,2,5,3,4,4,6,3,4,0,6,9,3,4,7,4,4,4,0,7,8,2,2,6,5,9,6,0,2,3,5,4,9,6,5,2,5,2,5,2,1,0,1,2,0,1,0,0,3,3,2,1,0,1,2,2,0,0,0,1,1,0,0,1,0,0,0,0,2,3,0,0,0,1,0,0,1,4,1,0,2,0,0,1,0,1,0,0,0,0,2,1,2,0,2,1,0,1,0,1,3,3,0,2,1,5,1,2,3,3,1,2,1,1,2,2,1,2,5,3,1,3,1,0,4,4,1,5,0,3,1,4,3,4,2,4,7,4,2,5,1,1
2,3,4,0,3,5,5,2,1,0,2,3,4,3,7,4,0,1,2,3,2,6,1,4,6,4,1,1,1,0,3,6,1,1,2,1,1,5,3,1,5,3,1,2,4,2,2,4,4,6,2,1,3,1,2,3,1,3,5,3,2,2,1,3,5,1,5,4,4,5,3,2,7,5,3,3,3,2,5,4,3,4,3,3,3,2,1,1,2,1,1,1,1,2,1,4,0,1,1,2,1,6,6,3,5,4,3,2,2,4,0,0,1,3,4,2,6,3,2,2,6,3,12,1,5,0,1,3,1,5,3,6,2,9,5,2,4,5,2,4,4,1,4,3,6,0,3,4,5,9,5,3,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,3,1,0,1,0,0,0,0,0,2,2,1,3,0,0,1,1,0,1,0,0,0,0,1,3,1,1,1,1,1,1,1,1,0,2,2,3,1,1,0,1,1,5,2,1,3,2,1,0,3,1,1,2,6,1,2,1,3,2,0,4,3,4,2,2,3,2,3,3,2,2,3,3,3,2,3,5,1,2,2,5,0,2,0,2,5,0,2,1
7,2,3,2,5,2,4,3,8,6,4,3,2,2,4,2,1,3,5,4,2,6,3,7,4,3,4,2,2,1,2,1,5,3,4,1,0,1,4,4,7,2,0,3,2,0,4,10,3,3,4,2,1,2,0,5,1,6,2,2,5,1,1,2,3,0,0,4,0,0,6,0,1,6,2,2,0,2,1,1,5,3,2,3,2,2,1,1,1,1,2,3,2,4,5,1,3,3,2,1,1,2,1,2,4,3,1,3,2,2,7,4,2,4,4,2,4,3,5,2,2,5,4,2,8,3,5,2,1,4,4,6,4,7,9,6,5,7,5,7,5,3,0,9,5,4,4,3,3,5,3,4,4,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,0,2,3,0,1,0,0,1,0,1,1,0,2,1,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,2,1,2,0,3,0,1,2,1,0,1,1,1,1,0,0,1,2,2,4,1,2,1,3,4,1,5,2,3,2,1,2,6,3,3,6,3,0,4,4,4,3,4,3,3,1,1,8,4,0,3,4,0,3,6,2,3
2,1,3,2,3,1,6,1,7,6,2,0,6,5,3,2,3,0,3,4,0,3,6,4,3,1,1,2,5,0,3,1,3,2,1,3,3,0,1,2,2,2,0,2,1,3,2,3,4,5,2,2,2,2,1,1,3,3,4,3,4,2,6,4,4,0,4,2,3,1,1,4,5,1,4,2,2,1,0,0,5,4,1,3,3,1,3,2,1,5,1,4,2,3,2,1,4,1,3,2,3,0,4,2,4,9,2,2,4,1,7,0,3,4,3,5,1,6,5,2,1,6,3,4,7,1,0,3,9,1,5,5,6,9,9,3,4,5,2,3,6,4,4,2,2,4,4,2,6,6,5,0,2,2,2,1,0,1,1,3,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,1,1,0,0,1,1,1,2,0,1,0,2,1,1,2,2,1,0,0,0,2,3,0,1,1,0,1,4,0,0,1,3,0,0,1,1,1,1,0,6,2,3,2,2,4,4,4,2,4,3,0,0,4,6,4,1,2,3,4,2,2,3,2,1,5,1,3,3,1,4,0,3,3,0,2,3,2,4,2,4,3
1,2,1,3,1,4,5,3,6,5,2,2,0,4,2,1,2,4,2,4,4,1,4,3,3,2,6,6,3,1,3,3,5,3,5,1,4,2,2,4,2,1,2,2,3,0,4,2,6,1,6,2,4,4,0,0,0,4,0,2,2,0,4,2,2,6,3,4,5,4,2,1,2,5,1,1,1,2,3,3,2,3,6,3,1,2,2,4,3,3,1,1,2,1,4,1,0,1,2,1,3,1,5,2,4,3,0,2,2,6,2,3,2,1,6,3,7,2,5,4,2,4,3,5,3,6,2,4,5,4,6,6,3,3,4,3,10,4,2,1,4,8,9,4,4,8,6,2,2,5,1,2,3,1,0,0,0,1,1,1,1,0,2,0,0,0,2,0,0,0,2,1,0,0,1,0,1,1,1,2,4,3,1,2,2,3,0,1,3,4,2,2,1,0,2,3,0,0,0,1,3,4,0,2,1,1,1,0,0,2,0,0,1,0,1,4,1,0,3,5,3,3,2,4,3,2,5,8,3,8,2,1,1,1,3,3,5,3,2,5,5,3,4,5,3,5,0,2,1,2,3,2,6,2,3,0
3,3,2,0,2,5,4,4,1,4,5,2,2,4,3,3,1,2,1,4,2,8,3,4,3,4,4,2,3,3,3,6,3,4,4,2,4,3,2,1,0,3,2,1,2,2,1,3,2,1,3,2,4,1,2,4,3,1,2,0,1,2,3,3,2,5,1,1,4,4,6,6,2,3,3,3,1,4,3,1,1,4,1,5,1,2,0,0,6,2,5,2,2,5,1,2,3,2,1,3,3,3,2,1,4,1,2,2,4,2,2,3,4,1,1,11,3,2,4,9,7,2,4,4,5,4,3,2,4,6,4,2,1,6,1,1,2,3,3,5,3,6,5,4,4,2,7,8,5,3,2,1,2,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,2,1,0,1,0,0,1,0,2,1,1,1,0,2,2,1,0,1,0,0,0,0,1,2,1,1,0,2,0,0,0,0,1,2,4,2,1,1,3,1,2,2,4,5,3,0,0,1,3,10,2,6,3,3,3,2,6,6,3,3,2,4,4,4,3,3,5,1,5,3,2,3,2,5,3,4,0,3,0,4,3,5,4,2
2,3,1,4,1,2,5,4,3,8,6,3,2,2,3,2,1,3,1,3,1,8,6,2,3,3,1,6,1,1,3,3,1,1,2,0,3,1,2,1,4,2,1,2,2,1,2,2,4,4,0,2,4,4,5,0,2,2,2,3,3,2,1,5,4,2,2,3,7,5,4,1,2,1,1,3,6,2,3,5,1,6,2,3,2,1,4,2,6,5,1,1,0,3,3,3,7,3,2,0,0,3,3,0,2,4,2,0,3,2,2,3,2,4,6,1,2,3,1,3,7,2,3,3,3,4,9,7,1,3,2,4,7,4,5,4,4,4,6,5,5,7,3,2,7,1,6,4,6,0,2,0,0,0,1,1,0,0,0,1,1,0,1,3,0,0,1,0,0,0,1,0,0,0,0,1,0,2,1,0,2,2,0,0,1,0,0,2,0,0,1,2,1,0,0,1,0,0,0,1,3,1,5,2,0,2,3,2,4,2,0,0,3,2,2,2,2,0,1,3,1,2,4,2,4,1,5,4,6,2,0,2,1,2,6,3,2,2,6,3,2,0,4,2,2,3,2,4,1,2,0,3,2,2,4,2
1,1,1,1,6,2,5,4,0,1,5,2,2,2,2,4,1,2,8,1,3,3,2,1,4,0,4,2,5,2,2,5,4,4,3,1,5,2,1,4,2,3,3,1,1,2,2,5,3,1,4,4,2,4,5,5,2,2,6,9,4,4,1,5,2,3,2,1,3,5,3,0,2,3,6,1,6,5,1,4,3,2,3,3,2,2,4,3,0,4,3,2,1,1,3,4,2,2,2,3,0,6,2,4,2,3,0,2,1,0,0,1,2,1,2,1,2,4,4,3,3,6,5,3,3,6,0,5,4,4,3,4,4,5,5,3,5,3,3,6,2,6,3,2,5,5,5,6,3,4,0,0,0,0,2,3,1,2,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,3,2,1,1,0,4,0,0,0,1,0,1,2,0,1,1,0,0,2,0,0,1,2,1,0,0,2,1,1,0,5,1,4,0,4,3,2,0,1,6,2,1,0,0,4,6,2,3,4,3,5,2,4,2,3,3,2,0,2,0,2,5,1,4,1,5,3,4,1,0,5,1,2,4,0,4,3,5,2,3,1
7,2,1,4,0,7,2,2,1,2,2,4,0,5,2,4,4,1,5,4,2,2,1,2,8,3,2,2,3,1,2,2,2,3,2,2,6,6,1,4,3,3,3,6,2,2,2,2,1,2,6,1,1,3,4,3,0,1,2,3,3,4,3,3,1,2,1,2,1,2,1,5,2,7,4,2,3,4,5,0,4,1,3,0,2,1,0,3,2,1,4,2,7,4,0,0,0,5,5,3,5,4,1,2,3,1,2,1,1,1,1,2,3,0,4,3,6,3,1,1,3,5,8,5,4,4,2,3,3,6,2,3,2,3,5,3,3,1,11,5,4,2,4,2,10,5,2,2,3,2,5,3,1,0,4,2,3,1,1,1,1,0,1,0,2,0,0,1,0,1,0,1,0,0,1,1,0,0,3,2,1,0,2,3,1,0,3,2,1,0,3,0,3,2,0,1,1,0,1,1,0,0,2,2,5,1,1,4,2,3,2,1,4,1,6,4,3,5,2,3,4,4,0,3,3,4,2,3,2,1,2,5,1,4,1,1,7,5,3,3,4,7,5,3,1,6,1,0,4,1,3,0,3,3,3,3
5,6,2,4,3,5,2,1,0,6,4,7,4,1,2,2,3,7,2,2,0,3,1,4,1,2,0,5,4,2,3,4,3,2,2,4,1,4,2,4,5,3,3,1,4,4,1,5,4,1,2,1,1,5,2,4,2,1,1,3,3,2,2,2,4,1,6,0,3,2,1,3,4,3,1,4,3,1,3,2,2,1,2,2,6,2,3,2,2,5,1,1,4,1,8,2,3,2,3,4,5,4,8,5,3,3,2,0,0,1,2,5,5,5,2,1,3,3,5,3,0,6,4,2,7,3,4,6,7,2,7,3,2,2,2,4,2,4,3,3,4,3,1,1,4,1,3,4,5,7,2,1,1,2,0,0,0,2,1,2,1,1,0,0,0,0,0,0,0,3,2,0,1,0,0,1,0,0,1,2,1,0,2,3,3,1,2,0,2,2,4,1,2,2,0,1,4,5,0,2,0,1,0,0,3,2,3,4,0,3,3,2,1,4,1,4,1,3,4,3,2,3,1,3,3,2,1,3,8,3,1,2,4,3,4,5,2,3,0,3,3,3,1,4,2,1,6,3,1,1,4,1,2,4,1,2
0,1,1,3,5,1,2,2,4,5,1,1,3,1,3,1,2,6,5,1,4,0,3,1,2,3,4,3,1,3,3,3,5,4,3,5,6,2,2,1,6,4,5,2,0,7,6,3,4,5,3,1,3,2,2,4,5,2,2,3,4,1,2,3,4,2,1,5,2,2,4,6,2,1,4,3,3,7,3,5,3,2,0,3,1,6,1,2,3,5,2,3,2,1,3,2,0,0,4,2,5,2,5,6,0,3,4,2,0,2,3,2,3,4,2,2,4,1,5,2,1,2,0,9,5,5,5,6,4,3,0,5,4,4,6,7,3,4,6,5,2,5,2,8,1,7,3,1,7,1,2,1,1,1,0,1,4,1,0,2,1,1,0,1,0,0,1,0,2,0,2,3,0,1,1,1,0,0,1,0,0,1,0,1,3,1,2,1,1,1,1,1,0,5,2,1,1,1,5,1,2,3,1,2,2,2,4,1,4,3,2,1,5,1,0,5,7,2,5,3,5,2,3,7,1,1,9,3,2,3,0,2,4,0,4,4,2,4,4,4,5,4,5,1,3,3,1,2,6,6,2,1,1,1,3,1
5,7,1,0,1,1,3,0,2,2,1,2,3,5,3,5,3,5,3,2,1,2,0,4,3,3,2,4,1,5,3,3,1,3,1,3,1,5,3,1,2,3,1,4,7,2,4,5,4,2,3,3,3,1,0,5,4,1,3,0,5,2,1,2,5,1,4,5,2,2,3,4,1,0,4,3,0,2,1,1,2,4,3,4,5,3,2,1,3,3,3,4,3,1,0,2,1,1,3,5,2,1,4,5,7,2,3,3,1,3,3,4,0,1,0,5,2,2,3,3,5,5,3,5,8,9,9,4,5,3,9,4,5,9,7,3,3,4,2,0,8,5,7,4,4,2,6,3,2,3,2,1,1,0,0,0,0,0,0,2,3,1,0,1,1,0,0,0,1,0,1,1,2,1,2,0,2,1,1,0,0,0,0,1,1,0,0,3,1,2,1,1,0,2,0,0,4,3,1,2,3,4,1,3,1,1,1,4,2,7,3,3,0,1,1,4,4,6,3,3,2,5,2,5,2,0,3,2,2,1,1,2,4,5,4,3,6,3,4,4,1,7,3,3,2,1,1,5,2,6,4,2,2,2,2,4
6,8,2,8,2,5,3,2,0,1,1,1,2,2,3,3,0,3,1,2,2,3,6,3,4,0,2,2,0,3,1,2,3,1,3,5,2,2,3,2,2,1,4,4,2,2,3,3,1,1,2,1,5,1,4,1,3,5,5,1,2,1,3,0,1,1,2,2,2,2,5,4,2,8,3,2,0,1,7,3,0,3,0,5,2,2,4,3,1,2,1,2,3,2,3,5,2,0,2,3,2,1,1,1,2,4,5,4,6,6,4,5,2,2,5,4,1,6,3,3,3,3,2,2,4,6,3,4,7,2,5,5,7,3,6,5,2,3,4,5,2,3,2,2,3,8,4,3,4,1,0,2,1,1,2,0,1,1,3,1,1,0,0,2,1,0,1,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,2,0,5,0,4,3,0,1,4,2,3,3,2,0,2,1,3,2,1,5,1,0,3,3,5,3,5,1,1,3,4,0,3,3,1,4,2,2,2,2,3,2,6,4,1,2,6,3,4,4,4,6,2,2,4,0,7,3,4,1,2,7,4,4,0,4,2,5,6,3,1
4,2,2,2,4,5,4,2,2,0,3,5,1,4,5,3,3,5,4,3,5,4,2,3,1,3,1,1,0,5,3,2,2,2,2,3,3,4,1,2,4,1,1,2,4,2,1,2,2,6,3,5,3,3,4,2,1,3,3,2,3,1,1,3,1,1,1,3,4,4,0,0,7,3,5,3,1,4,4,2,4,2,2,1,2,2,4,2,4,1,0,3,2,3,1,3,1,1,0,3,4,2,0,4,2,2,5,3,7,2,1,3,1,3,1,4,5,2,1,0,4,3,3,4,4,3,4,7,4,4,2,5,3,4,4,2,3,10,4,3,2,3,1,3,1,7,2,6,3,4,2,2,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,2,1,2,2,0,0,0,2,1,1,1,1,0,0,1,1,1,2,1,1,2,0,2,2,2,1,6,3,3,1,3,2,1,1,2,2,1,2,2,3,0,1,1,3,3,4,1,1,2,1,2,2,3,2,6,2,2,2,1,1,4,4,1,1,7,2,1,3,4,3,4,3,2,1,2,4,2,2,4,2,2,4
1,1,3,0,4,0,2,5,3,2,2,2,1,1,2,7,2,1,1,1,3,8,2,4,6,2,4,1,1,0,2,2,5,1,3,2,3,3,2,2,4,3,5,1,5,1,8,2,1,3,2,3,0,3,2,2,2,3,3,5,1,1,2,3,5,2,1,1,3,1,2,0,2,0,0,4,4,1,3,3,1,0,0,2,2,5,0,1,1,2,1,3,3,2,6,4,3,2,2,2,2,6,1,3,3,4,3,3,4,6,2,3,6,2,2,4,3,2,3,0,1,7,4,1,8,2,6,4,4,6,3,8,6,1,6,8,7,8,3,6,3,6,5,3,3,2,3,5,2,0,1,2,0,1,0,1,1,1,0,1,1,2,0,0,0,2,0,1,0,0,2,1,1,2,0,0,1,0,2,1,1,0,0,0,0,2,0,1,5,1,1,0,5,2,2,4,0,0,0,2,1,2,2,5,2,2,2,1,2,1,6,4,2,0,3,4,0,0,2,2,2,2,1,3,3,0,5,2,0,2,2,0,1,3,3,2,6,1,6,0,3,1,2,2,2,2,3,1,3,2,2,3,1,2,1,2
4,0,2,3,6,3,2,1,3,3,2,3,3,1,2,5,2,2,3,4,2,3,3,7,0,2,1,1,3,1,4,3,3,2,2,3,1,1,1,2,1,2,3,7,2,3,4,2,1,2,2,4,2,4,1,4,0,2,5,4,0,1,1,3,3,2,0,1,2,1,3,3,2,2,1,2,6,3,0,2,4,3,2,6,4,5,0,3,2,3,2,3,2,9,2,6,7,2,3,2,3,1,3,1,0,2,3,3,3,2,6,7,2,3,3,2,0,2,5,3,3,2,6,2,5,1,8,4,6,2,3,1,3,2,3,6,4,5,7,2,2,1,4,4,7,5,7,1,4,2,3,1,2,1,1,1,1,0,0,0,2,0,0,2,2,0,0,0,1,0,2,2,1,2,2,2,1,0,1,1,1,0,1,0,0,1,2,1,1,3,1,0,4,0,6,1,1,2,0,0,1,2,4,2,4,2,5,6,3,1,3,2,1,0,0,2,1,3,3,4,1,1,2,6,3,7,4,2,6,1,4,2,1,1,2,5,4,2,4,4,3,4,3,5,1,2,3,4,7,2,2,1,3,1,1,3
2,1,1,4,1,4,5,1,3,0,0,1,0,4,1,0,6,1,3,0,4,3,1,3,4,4,4,2,5,3,3,1,3,1,4,3,3,2,2,0,1,5,3,1,3,2,4,4,3,2,3,3,2,2,3,2,4,3,3,1,2,1,3,3,0,1,2,2,2,2,6,1,2,2,2,2,2,1,2,4,2,4,4,1,1,3,2,1,6,2,5,2,3,3,2,2,1,7,1,2,4,4,4,3,4,6,3,1,4,1,2,5,2,3,4,3,2,6,1,4,1,4,5,3,5,3,2,2,3,0,5,2,6,3,1,8,5,3,7,4,5,2,5,5,1,3,2,4,2,0,1,3,2,1,2,1,1,1,0,0,0,0,0,2,2,1,0,0,4,0,0,1,1,0,5,0,1,0,0,1,0,2,0,1,1,1,0,2,0,1,0,2,2,0,1,2,0,4,1,2,2,5,0,4,5,2,3,2,4,1,2,1,2,1,2,1,3,1,5,7,1,1,2,3,5,2,1,1,1,1,4,3,2,2,0,2,2,1,2,2,3,2,6,3,4,6,4,5,4,2,2,3,4,3,5,2
5,0,3,3,6,2,0,3,4,1,2,1,6,2,0,0,2,7,4,3,2,0,1,1,3,3,1,1,1,3,5,4,6,0,5,3,3,2,4,3,1,0,4,1,3,4,2,4,3,2,5,5,3,2,6,6,1,3,5,2,1,4,4,3,3,3,1,2,2,1,2,2,5,7,1,4,5,5,4,2,1,8,2,0,3,3,0,1,2,5,1,1,0,2,5,6,2,4,5,4,1,4,1,1,3,3,4,0,2,6,5,1,3,5,2,2,2,2,1,6,0,4,2,5,6,3,4,8,0,0,2,2,7,2,2,8,2,5,5,2,3,3,6,3,6,2,4,4,2,2,1,0,0,1,0,0,2,2,1,0,0,1,2,3,2,1,1,0,3,1,0,0,0,1,1,1,0,1,3,3,0,2,1,2,1,0,1,2,0,4,3,2,1,2,3,2,3,1,1,4,3,0,5,2,4,1,1,2,3,7,1,3,3,4,4,7,2,3,6,3,3,3,4,3,2,2,5,2,6,1,2,1,3,2,6,1,2,5,3,5,0,0,4,2,2,1,4,0,2,4,2,4,2,4,1,4
1,3,1,4,1,0,1,1,2,3,0,4,6,2,4,4,2,4,4,3,1,2,3,2,5,1,3,3,4,2,3,0,2,4,8,0,0,2,2,6,2,4,3,3,1,6,2,3,2,4,4,2,5,0,5,1,3,2,4,3,2,2,0,6,4,4,1,5,3,3,4,4,4,4,2,2,2,6,3,5,5,1,2,5,1,5,2,2,4,4,1,1,0,2,3,1,5,0,1,2,2,5,3,4,3,5,2,3,0,4,6,5,2,6,3,1,1,0,3,1,4,2,3,2,2,3,4,4,4,7,5,3,5,3,3,4,2,5,4,5,3,1,4,6,7,4,5,2,2,3,1,0,1,0,0,0,0,0,2,0,0,2,0,0,1,0,2,0,1,1,1,0,3,0,1,2,1,0,2,0,0,1,3,1,2,0,0,3,2,2,0,2,2,2,2,2,1,3,4,4,3,1,3,4,2,3,0,1,2,1,2,3,1,4,1,3,7,8,1,5,3,4,5,3,7,3,2,2,1,2,7,3,5,6,1,5,1,1,2,1,4,3,4,0,2,5,2,4,1,0,2,2,6,3,2,3
4,3,1,1,4,1,0,2,3,2,5,1,5,2,1,1,3,2,1,2,0,1,5,1,1,1,1,2,6,3,0,2,2,4,5,4,2,6,3,3,2,1,2,4,4,1,4,2,2,5,1,2,5,3,2,2,5,2,2,3,1,2,2,4,5,3,3,3,1,3,2,3,4,0,3,2,3,1,4,4,2,1,2,3,2,4,3,6,2,2,3,3,0,3,3,1,1,0,2,0,1,4,0,1,1,3,5,2,3,4,4,0,4,3,6,0,3,1,3,2,4,2,2,2,5,5,2,3,7,5,2,4,5,4,2,4,3,1,6,6,3,1,9,4,4,6,3,0,1,3,0,1,1,0,0,2,1,2,0,0,0,1,0,1,1,1,0,0,1,1,2,2,2,1,4,1,0,1,0,6,0,4,1,0,2,2,1,0,2,1,3,3,3,2,1,4,2,2,3,2,1,4,1,1,2,4,3,1,2,2,1,1,2,5,5,2,1,2,1,2,3,2,3,3,6,3,1,4,2,5,2,3,2,2,0,5,1,4,4,1,5,4,0,5,2,1,5,2,3,3,2,3,4,3,4,4
1,5,5,3,7,0,1,1,1,2,1,2,0,1,1,3,2,1,2,1,2,1,3,1,0,1,3,0,1,5,6,2,4,2,2,0,3,4,7,0,2,7,3,1,2,4,3,0,2,1,4,3,4,3,3,3,0,1,2,4,2,2,3,1,4,5,5,4,1,0,2,3,1,2,3,3,1,1,3,3,2,4,0,2,4,1,4,2,1,0,5,2,3,0,1,2,5,2,2,1,0,2,2,3,0,2,3,2,1,3,5,4,3,4,6,3,0,2,1,0,4,3,2,8,2,3,2,4,1,6,5,5,1,4,7,2,4,5,3,5,1,7,1,3,5,5,3,2,2,0,3,0,0,0,0,1,1,0,0,0,0,3,0,1,0,0,1,2,1,1,3,2,1,1,0,0,3,2,2,3,4,2,0,2,4,5,1,1,0,2,2,1,1,1,0,0,0,6,5,2,2,1,4,1,3,3,6,3,1,2,1,2,2,4,3,2,5,6,3,4,7,3,2,4,8,3,0,2,5,3,2,4,2,2,3,4,4,2,2,2,2,3,0,1,2,3,7,1,1,3,2,0,1,5,6,6
2,2,4,1,0,0,12,0,0,1,1,0,1,2,1,2,3,2,1,3,3,4,7,1,2,4,2,4,2,3,0,0,2,4,3,0,1,1,3,2,3,3,0,3,2,0,3,3,3,2,0,4,2,1,1,3,1,3,1,4,3,2,2,3,3,4,5,4,4,1,3,3,2,4,5,3,1,2,2,5,3,2,1,6,5,1,5,5,5,2,4,3,4,3,2,4,3,3,0,1,1,0,3,0,0,1,4,2,3,3,4,2,4,1,2,3,5,2,1,1,2,3,3,1,2,4,1,3,3,3,4,5,2,2,1,6,5,4,3,4,2,5,5,4,1,4,2,1,0,2,1,1,1,2,0,0,1,2,0,1,0,1,2,1,0,1,0,1,2,1,3,2,2,0,3,1,2,2,0,0,0,1,0,1,2,2,1,2,2,5,3,3,1,2,0,2,2,2,4,4,3,3,1,0,1,4,4,1,3,3,1,2,3,2,2,3,4,2,3,4,2,5,3,1,3,0,3,3,4,2,4,4,8,3,5,3,1,2,1,1,2,2,4,0,1,1,2,6,2,0,2,2,2,2,3,4
2,7,2,1,4,4,3,1,2,2,0,3,0,2,2,3,2,4,2,4,2,3,2,5,1,2,3,2,2,0,3,0,3,1,3,4,3,4,4,5,2,1,2,1,5,1,5,7,3,3,2,1,4,3,2,7,4,3,4,4,5,1,1,1,0,2,0,3,5,0,3,3,2,7,1,3,2,1,2,3,3,1,2,1,4,1,2,1,5,4,5,3,2,2,2,3,3,1,2,1,3,2,0,2,2,1,2,1,2,5,2,6,2,1,6,1,1,4,1,0,4,1,2,6,3,3,5,4,1,2,3,4,7,4,5,0,3,4,7,5,2,2,6,4,3,2,3,4,2,2,0,2,0,0,1,1,0,0,0,0,1,0,3,2,2,1,0,1,1,2,1,3,0,2,4,1,4,2,1,0,1,3,4,0,2,4,2,1,3,2,0,4,2,3,2,2,1,2,0,2,6,5,4,2,3,4,3,8,1,2,4,0,3,0,4,6,0,3,1,1,4,7,3,5,2,4,1,4,1,1,0,3,0,2,2,3,1,3,0,1,4,2,5,2,2,0,3,1,3,1,9,1,3,2,0,2
3,0,4,2,3,2,1,0,3,2,9,4,4,1,1,4,0,1,1,1,6,3,3,8,5,3,5,4,3,0,3,3,4,2,3,2,1,3,3,6,4,3,5,2,1,2,1,3,4,3,2,1,4,4,2,1,4,4,2,2,2,3,2,2,1,0,1,4,6,3,5,5,4,3,2,2,4,4,1,3,1,5,4,2,0,4,3,4,6,2,1,4,2,3,0,0,2,1,4,2,6,1,1,0,2,4,3,3,1,1,1,3,3,3,2,3,3,5,2,5,6,0,2,2,5,2,5,4,2,3,5,6,7,3,3,3,4,2,5,7,5,3,6,6,1,2,7,0,0,0,0,0,0,0,0,0,1,1,0,0,0,3,0,1,1,1,0,1,0,2,0,2,1,1,0,0,2,4,0,0,0,1,1,3,0,4,2,4,0,2,1,4,2,0,1,4,3,4,1,1,1,1,1,2,3,0,3,7,1,1,0,2,1,1,2,0,4,2,7,1,4,5,1,3,1,1,3,2,2,2,1,3,4,3,2,3,4,4,3,0,2,2,3,2,1,4,1,4,3,2,4,3,5,1,2,2
3,3,4,4,2,2,0,2,6,5,3,1,2,1,3,4,3,2,3,6,2,1,3,2,1,1,2,2,2,4,3,4,3,5,1,0,2,0,6,5,4,2,2,5,4,2,4,2,1,1,4,4,2,2,4,3,5,4,2,3,2,3,3,1,4,2,2,0,1,3,2,1,3,0,2,7,3,3,1,2,3,8,4,0,3,2,5,2,4,3,2,2,0,3,5,2,1,2,5,4,2,2,3,5,3,1,3,2,0,0,3,2,2,2,1,6,3,2,4,2,2,1,0,3,2,2,3,5,6,6,5,5,4,3,1,1,6,5,8,3,5,3,5,1,5,1,1,0,1,1,1,1,1,1,0,0,1,1,0,1,2,0,0,0,3,2,0,1,1,2,2,0,2,0,1,0,2,3,0,0,3,2,2,3,2,3,1,0,2,3,1,2,0,5,3,5,1,6,2,6,0,3,3,4,2,6,3,3,3,2,4,1,3,3,2,5,1,7,3,4,4,4,3,0,5,2,3,5,2,3,4,4,3,3,1,4,5,6,3,2,3,2,5,1,3,3,3,5,1,6,2,2,4,2,3,4
1,2,1,4,2,2,3,3,3,1,3,6,4,1,3,4,4,5,2,2,1,1,3,2,0,3,2,3,0,3,2,4,1,2,1,3,4,3,1,2,4,8,3,4,0,0,2,1,3,2,2,5,6,0,2,4,0,1,2,2,4,5,3,2,0,3,1,4,2,0,0,2,7,2,3,2,4,3,1,6,3,4,2,3,1,4,1,1,4,2,2,1,5,0,0,2,8,1,1,4,6,2,6,1,1,2,1,0,4,2,0,7,1,0,4,4,3,1,2,4,2,6,1,2,7,3,5,3,2,3,2,4,6,1,4,4,3,1,1,2,3,1,1,5,1,2,3,0,1,0,0,1,0,0,0,0,0,0,1,1,0,2,0,0,1,2,3,4,2,2,0,1,1,0,2,0,1,3,1,1,2,1,0,3,5,3,1,1,3,1,1,0,3,3,2,3,3,2,4,1,6,4,2,3,5,4,3,5,1,0,8,4,1,4,2,2,2,6,3,8,5,2,4,5,6,1,5,2,2,4,6,4,3,1,4,2,3,2,2,1,3,2,1,6,2,4,4,3,4,2,2,2,3,3,5,3
2,1,4,2,4,0,4,6,3,5,6,3,4,6,1,4,4,2,2,7,3,0,3,0,1,1,5,2,2,0,3,2,3,1,1,6,4,0,6,1,2,9,3,1,2,3,4,3,3,2,3,2,7,0,3,2,4,5,5,5,7,1,0,3,3,2,5,4,5,1,3,3,2,1,2,4,1,5,1,1,2,1,6,3,2,1,1,0,0,2,2,3,5,1,3,1,6,5,3,1,2,2,3,3,2,2,0,2,3,0,1,1,2,2,0,5,3,4,4,5,2,2,4,2,6,3,3,3,2,0,1,3,5,1,9,8,1,2,7,8,4,5,5,4,5,2,2,1,1,0,0,1,0,0,3,2,0,0,0,0,0,2,3,2,2,2,1,0,10,0,1,0,3,0,0,1,2,2,1,3,0,1,3,0,5,5,2,1,0,2,4,2,3,3,0,1,1,3,4,2,1,1,3,4,4,0,1,4,2,1,3,1,3,1,4,7,1,2,4,4,4,4,0,2,0,1,2,4,6,2,3,4,4,2,5,2,2,5,4,4,2,0,3,3,5,7,6,4,7,1,6,1,3,2,2,6
4,1,4,4,7,0,5,4,0,7,4,4,6,1,1,2,1,0,5,1,1,4,2,4,6,3,2,3,3,2,4,1,3,4,3,5,3,0,4,1,0,3,4,2,1,4,6,2,2,2,0,3,0,5,2,3,1,4,4,5,0,1,3,3,2,2,3,5,2,4,4,5,4,0,3,4,0,0,2,4,3,3,2,5,3,4,3,3,3,4,2,4,4,2,2,2,2,0,4,1,4,3,2,5,2,4,6,0,1,0,1,2,2,1,0,1,2,1,3,2,3,2,2,3,3,4,1,4,3,3,6,4,4,5,3,5,3,4,5,2,3,3,9,2,1,1,2,3,0,0,1,1,1,1,0,0,3,1,0,0,1,5,2,1,0,0,0,0,1,1,2,4,2,2,4,2,3,1,1,0,0,0,2,4,1,3,3,2,2,1,0,2,2,2,1,4,1,5,3,3,5,0,1,5,6,2,4,2,5,3,3,4,4,3,5,3,2,2,2,3,1,4,7,1,3,4,2,3,6,1,5,2,0,2,7,0,6,4,3,3,2,3,3,2,2,2,2,2,3,5,4,1,4,4,0,5
2,7,3,0,0,2,2,2,2,3,2,2,2,3,3,3,6,1,1,2,4,2,1,6,2,2,3,1,1,5,3,0,4,4,3,2,0,5,1,1,3,4,1,2,2,3,1,3,2,1,2,4,3,0,4,3,4,1,1,2,1,1,3,1,2,2,0,1,3,6,2,3,4,1,1,1,0,6,4,5,4,3,2,7,3,1,3,3,4,1,2,3,2,3,5,1,7,3,4,4,0,5,4,2,6,2,2,0,3,2,6,1,2,1,3,3,1,2,1,2,2,4,0,2,3,3,4,3,3,6,7,4,5,1,2,5,7,3,4,1,3,5,4,1,3,3,1,0,0,2,3,1,0,0,0,0,1,0,0,1,0,1,3,2,5,0,2,2,2,0,3,1,2,2,2,4,2,1,1,3,3,3,0,3,1,1,4,1,0,2,3,4,4,4,4,2,4,2,2,3,0,4,2,3,4,6,1,4,6,2,4,4,2,1,2,2,1,5,3,1,3,3,6,5,3,2,4,0,3,3,2,0,3,3,4,3,2,4,4,1,3,1,3,6,6,6,4,3,5,6,2,4,2,4,6,6
1,2,3,3,3,2,1,3,2,2,2,2,4,3,7,2,5,6,2,1,0,3,1,1,1,1,2,1,3,2,3,4,4,3,3,4,2,4,2,2,1,3,5,2,6,3,5,4,2,3,4,0,0,6,1,2,2,0,1,1,2,5,3,3,3,3,4,0,2,2,3,3,0,2,1,2,2,4,3,0,2,3,2,1,5,3,4,7,4,3,2,3,1,3,5,0,3,2,4,3,3,1,3,2,1,2,6,2,1,5,7,2,0,4,0,2,1,6,2,2,4,2,4,1,1,5,2,5,3,6,0,4,1,4,1,5,4,9,2,4,6,4,3,1,2,1,2,0,1,2,1,0,2,3,1,2,2,1,1,0,2,0,2,1,1,2,2,2,0,3,2,4,3,0,6,1,6,1,4,1,1,1,1,6,2,5,1,3,1,5,3,2,6,3,1,5,1,4,3,3,4,0,3,4,8,3,2,1,1,3,4,2,1,3,2,3,4,3,6,1,3,3,7,2,2,2,1,2,1,4,4,1,2,4,4,3,6,1,7,2,6,1,5,4,4,7,2,5,8,6,0,3,3,4,3,1
6,5,4,1,2,1,2,3,4,3,4,0,4,7,3,7,5,2,1,0,2,4,1,2,4,3,3,4,1,1,1,1,1,3,1,2,3,3,1,3,0,1,3,2,3,4,3,4,1,5,3,6,0,4,3,1,2,3,2,1,2,1,2,6,0,6,2,4,0,1,3,5,4,5,4,1,1,2,4,2,2,1,1,3,4,1,4,1,2,1,5,2,2,3,4,3,0,2,2,2,5,1,2,3,4,5,0,2,2,3,2,5,1,1,0,3,1,1,1,3,3,5,1,4,4,5,2,2,5,4,3,4,4,4,1,8,4,5,3,4,4,3,3,3,1,2,2,0,0,2,0,1,2,2,3,3,0,2,0,0,1,1,1,1,2,2,3,2,4,1,5,1,2,2,1,3,3,0,1,3,2,2,1,1,3,1,4,7,2,2,1,3,2,5,1,2,5,2,3,1,1,5,4,2,4,5,1,1,3,6,2,4,6,2,2,6,3,3,0,6,3,3,3,6,2,2,3,1,3,2,4,4,4,3,2,2,5,5,4,4,2,3,3,3,0,5,2,4,5,3,2,5,0,2,1,4
2,3,5,5,2,4,4,1,3,4,3,9,3,0,2,1,1,3,1,7,1,5,1,6,4,0,2,3,0,0,2,5,0,4,1,2,2,2,2,3,3,2,5,3,1,4,6,2,4,2,4,2,2,2,3,3,2,5,2,2,1,4,1,4,3,0,1,5,2,2,5,2,1,1,0,3,6,2,4,3,3,1,1,3,2,4,3,2,0,1,5,0,3,9,3,4,4,3,2,4,0,3,1,6,2,6,2,3,3,2,2,4,4,3,2,1,2,4,3,3,1,3,3,3,1,1,3,3,1,7,0,5,3,5,5,0,6,7,5,2,6,5,3,3,1,0,1,1,3,0,0,3,1,0,1,1,0,2,1,2,0,1,0,0,3,2,4,2,3,3,1,2,6,0,1,3,2,2,0,0,1,3,1,2,1,3,3,2,3,3,1,2,2,2,2,2,3,2,5,1,2,1,6,1,3,3,2,2,6,4,2,3,1,3,3,2,8,5,3,6,4,1,1,3,2,4,1,1,3,4,3,3,2,1,2,4,5,4,3,6,3,5,8,2,2,3,2,4,3,8,1,2,4,4,0,4
3,3,4,2,2,1,6,8,3,6,4,3,1,3,3,1,5,2,4,3,3,6,3,5,0,4,6,3,1,0,2,0,0,5,3,4,2,1,3,2,2,3,5,5,1,1,3,4,2,3,1,3,1,1,1,0,2,4,1,5,4,1,3,3,2,6,2,4,3,1,3,2,3,1,3,2,4,1,2,4,1,2,1,2,5,2,0,1,5,2,4,2,3,2,3,0,3,5,3,1,2,5,2,3,3,6,3,0,4,3,3,1,5,3,2,4,5,6,0,1,4,4,0,4,3,7,0,5,3,3,6,5,5,3,3,8,4,4,4,2,4,4,5,1,1,1,2,2,0,0,0,4,3,4,1,2,0,2,0,1,2,4,2,0,3,4,2,2,3,2,8,4,5,3,4,3,4,2,2,4,0,3,2,2,6,4,1,1,7,2,3,3,4,2,1,2,7,5,2,3,4,1,3,0,2,5,6,2,3,9,4,1,1,3,4,2,4,2,3,1,2,4,3,1,1,3,5,0,1,1,1,1,2,2,1,4,4,4,2,4,5,2,5,0,7,3,1,2,1,2,1,2,1,0,0,3
1,5,7,2,0,5,5,3,3,3,5,1,2,2,3,1,1,2,2,5,4,2,2,3,1,5,2,4,4,0,5,3,1,3,3,2,3,2,0,5,4,4,0,6,4,1,3,2,3,3,5,2,5,1,2,2,2,2,3,4,3,4,1,5,4,0,2,2,4,3,1,3,3,4,5,5,3,2,5,3,0,3,2,3,1,4,2,1,1,1,3,6,2,4,3,3,3,2,4,5,2,2,3,1,4,2,3,1,2,0,2,4,4,0,2,4,5,4,1,2,2,6,2,1,4,6,2,3,6,8,5,5,0,4,2,0,2,4,3,6,2,2,3,3,0,2,2,0,1,0,2,0,1,2,1,2,1,2,1,1,3,0,3,1,2,4,1,5,4,4,6,4,3,2,4,2,2,1,2,2,3,4,2,2,1,4,0,3,6,5,4,5,2,8,5,2,4,1,0,3,2,2,5,1,4,1,3,5,2,3,5,5,8,5,2,6,2,3,5,4,8,2,4,2,5,2,2,3,0,2,2,3,3,1,3,2,1,1,7,3,4,1,5,2,5,2,3,5,7,2,5,2,3,1,3,2
3,2,2,0,2,2,4,1,4,3,4,2,2,3,0,0,2,5,1,3,1,2,3,1,5,0,3,5,0,0,3,1,3,1,4,3,3,3,2,2,0,3,3,2,4,3,7,2,3,1,4,1,3,3,4,3,1,3,4,3,0,4,2,2,0,2,1,2,3,0,3,3,6,6,4,1,1,0,2,1,4,4,4,3,3,1,3,2,5,2,3,2,0,6,3,2,2,2,4,3,2,2,3,1,2,1,7,4,0,1,2,5,2,5,4,2,4,1,1,4,4,3,2,2,2,2,1,4,4,5,2,1,4,4,4,2,6,9,3,8,4,4,4,1,1,1,0,0,1,0,4,2,0,1,1,3,1,0,3,2,3,1,2,2,3,3,6,2,5,5,1,6,2,1,2,0,4,1,2,2,5,4,2,2,3,5,2,3,1,0,2,3,5,2,4,3,1,0,4,1,2,2,3,3,3,3,1,1,3,2,4,1,6,2,2,5,3,1,3,6,2,5,2,1,1,2,4,1,0,5,3,2,2,1,3,3,2,2,1,4,3,3,8,7,3,7,4,5,5,2,1,4,3,5,3,4
4,2,1,0,1,4,6,1,1,1,5,1,2,1,4,4,4,2,4,1,4,1,3,0,4,3,1,1,1,2,5,2,5,4,4,1,1,1,1,5,3,2,3,1,2,2,1,4,4,3,5,4,2,4,1,1,3,0,1,2,4,3,1,2,2,2,5,4,1,3,5,1,6,3,7,4,3,3,3,1,3,2,6,2,1,5,2,5,1,1,1,0,2,0,5,2,5,4,4,4,1,3,4,1,2,1,6,6,0,4,4,1,4,3,0,3,5,1,3,3,2,1,4,2,4,1,4,1,1,3,0,2,1,4,1,9,2,5,3,2,0,2,1,1,0,1,3,1,0,0,1,1,2,3,3,4,1,1,2,2,0,3,3,4,1,1,4,3,1,2,5,1,1,2,4,6,5,4,2,3,5,3,4,2,4,3,0,3,1,4,0,2,2,0,2,3,3,2,1,4,3,3,3,0,4,1,2,4,3,1,4,5,3,5,3,0,6,7,3,0,1,2,3,2,5,2,1,1,4,3,1,2,3,3,2,4,3,1,1,0,3,2,1,4,3,3,5,7,1,7,2,2,1,7,3,2
2,5,4,4,2,3,4,2,2,2,5,1,1,1,4,1,2,2,3,4,7,1,2,4,1,3,3,5,4,2,4,5,2,7,3,1,2,3,3,1,2,2,1,2,3,2,1,1,3,2,1,2,3,3,1,5,3,4,2,1,6,2,3,4,3,0,0,3,2,2,0,3,3,2,3,6,1,3,2,3,3,4,4,3,4,0,3,3,2,2,3,1,1,2,2,0,0,2,1,2,3,0,1,0,5,6,3,5,1,3,2,0,3,3,5,0,3,0,4,3,1,1,1,2,3,1,3,3,5,4,6,7,2,4,4,3,7,3,5,5,2,5,1,3,1,1,2,3,2,0,2,6,2,1,2,0,2,1,2,1,0,2,1,1,2,0,1,4,3,1,1,4,2,2,4,1,1,3,1,1,1,4,0,8,5,3,4,1,2,0,3,3,3,2,3,3,7,3,3,5,1,3,8,2,5,1,4,1,3,4,6,4,4,4,6,3,1,1,5,3,4,2,3,1,6,4,10,5,1,1,7,2,3,1,4,4,3,2,0,4,5,5,2,1,5,3,4,5,2,7,2,1,4,2,4,2
2,2,1,3,6,1,4,6,3,4,4,2,3,1,5,7,1,1,3,3,2,4,1,6,1,1,3,2,4,4,1,3,3,3,3,1,2,6,1,6,2,2,0,4,0,3,1,4,5,2,4,0,1,1,3,6,5,3,1,3,3,1,1,7,2,2,3,1,7,2,5,1,4,4,3,7,6,4,3,5,1,5,0,4,4,2,3,2,3,2,2,0,1,2,4,6,3,1,0,4,3,1,1,1,0,0,0,3,2,4,5,3,2,3,0,3,3,3,2,2,0,5,3,2,4,4,1,1,4,2,1,2,4,4,3,2,3,1,3,2,2,5,3,2,3,2,5,0,2,3,4,1,3,1,2,4,3,1,2,2,1,1,0,5,2,1,4,7,2,3,6,3,2,5,2,3,3,4,3,4,3,3,0,0,3,7,4,2,4,1,5,4,3,2,3,5,5,2,5,2,5,5,3,9,2,6,3,4,4,4,4,8,4,2,1,6,2,4,1,2,4,0,2,2,2,2,1,3,0,1,1,6,4,4,3,1,3,0,4,3,1,4,5,1,3,2,4,0,5,2,2,2,0,3,4,5
3,2,2,5,4,1,2,1,2,4,9,2,3,3,4,5,4,4,1,2,4,1,3,4,7,3,2,3,2,4,5,3,3,3,3,1,4,2,2,2,2,6,3,2,1,1,1,4,1,0,5,3,2,1,3,2,4,1,2,4,3,3,4,4,5,2,2,3,2,1,3,2,2,2,1,6,6,5,3,3,1,3,3,5,6,1,5,3,1,2,3,8,0,0,1,1,2,1,1,1,2,3,2,4,4,4,4,2,7,2,2,4,2,2,4,4,5,5,9,3,3,5,1,2,2,3,2,3,3,0,2,2,1,2,5,4,7,0,2,1,1,0,3,1,5,1,3,1,1,2,2,7,0,1,2,1,1,4,2,1,3,1,2,2,2,1,3,1,3,0,5,1,6,3,2,5,2,6,1,2,2,2,4,5,4,1,3,2,5,2,3,4,3,1,2,6,3,4,0,3,2,2,3,2,4,3,1,4,2,4,3,5,0,4,3,3,2,3,7,1,2,4,3,2,2,0,2,4,1,2,4,3,2,4,1,4,4,3,5,3,2,0,3,1,6,7,5,5,4,2,3,0,6,2,2,2
0,2,5,3,5,2,2,3,3,1,4,3,5,2,0,0,2,4,3,3,3,2,3,3,0,1,4,4,6,3,7,0,3,4,5,3,5,1,2,1,4,4,3,4,4,3,1,1,3,1,0,2,4,3,4,3,1,4,2,3,5,0,2,2,1,1,1,0,7,3,5,2,1,4,3,4,2,2,6,3,3,0,1,2,3,3,4,3,6,2,3,2,3,0,3,3,2,3,2,1,2,1,1,0,2,1,3,2,2,1,7,1,2,3,2,2,5,5,3,1,2,4,5,2,3,2,1,3,1,4,6,3,4,3,6,6,2,6,5,4,1,4,1,6,2,3,3,0,1,1,3,6,0,2,2,1,2,1,3,5,0,1,3,1,5,4,2,0,2,5,2,1,3,4,4,5,4,3,2,3,1,1,2,4,2,5,1,0,2,2,3,3,5,4,6,6,0,3,5,2,3,1,3,3,3,4,2,6,4,2,3,4,4,2,2,4,1,5,6,4,3,3,2,2,2,1,2,2,3,1,1,3,3,5,4,1,1,9,4,0,4,2,3,2,1,5,1,2,2,2,3,3,5,3,4,3
4,1,1,2,2,4,1,5,6,2,4,2,2,3,1,1,4,2,0,5,1,4,4,2,2,3,0,2,1,3,4,0,2,2,3,2,0,3,5,2,1,2,1,1,1,2,5,1,2,4,6,2,3,3,1,2,1,2,2,0,3,2,2,2,6,0,5,4,2,0,4,0,3,3,4,2,1,2,1,4,1,1,2,4,2,2,1,2,1,0,2,2,3,3,0,4,10,3,3,1,1,3,2,2,2,1,2,3,1,2,2,3,4,3,1,3,1,2,4,1,1,6,5,1,4,4,3,3,2,3,1,1,4,4,1,0,6,7,6,2,3,6,1,5,5,2,3,1,1,1,4,3,1,3,3,2,4,3,2,1,5,1,0,1,1,2,4,3,2,3,3,1,4,5,3,2,3,2,5,1,2,6,3,3,1,2,6,2,4,0,3,2,2,0,2,2,2,3,3,3,2,4,2,1,5,2,4,2,6,2,3,4,2,3,3,5,6,3,3,3,1,5,1,0,4,3,2,1,1,6,2,4,1,2,7,5,2,3,0,4,3,3,1,2,4,4,2,3,3,3,4,0,1,3,0,6
3,1,1,3,5,1,3,2,2,3,5,7,2,5,2,1,2,4,2,6,5,3,3,1,1,3,3,2,3,2,5,8,3,4,5,4,7,0,2,3,3,1,2,2,4,5,4,3,1,3,3,3,2,1,1,3,2,3,2,4,2,1,2,5,2,5,1,4,8,1,4,3,4,5,2,4,1,2,2,7,2,4,4,5,3,4,1,2,2,2,3,5,0,3,3,3,0,1,3,0,5,1,0,2,4,2,2,2,1,0,0,1,2,4,2,3,2,4,1,1,5,0,5,6,2,1,5,2,3,5,2,5,6,4,3,1,4,3,5,3,3,5,5,5,2,5,2,1,2,0,4,2,2,3,3,3,1,2,2,3,1,4,2,2,2,2,2,3,0,4,3,0,3,3,2,0,2,6,1,3,3,3,4,2,3,3,6,1,4,1,4,3,1,3,4,4,3,3,4,1,1,6,5,2,5,4,6,1,4,4,1,6,2,3,3,3,4,6,3,2,6,0,2,2,4,5,4,3,4,1,2,4,1,4,1,5,2,1,1,4,2,2,6,7,8,2,3,4,6,4,0,3,3,5,3,2
4,3,1,6,6,2,1,0,1,3,3,2,2,2,3,3,4,2,8,1,1,4,3,3,1,6,5,3,3,0,4,1,6,4,3,2,3,4,0,1,3,1,2,5,1,5,4,4,2,1,0,5,3,2,5,4,3,3,2,3,1,1,3,4,0,3,0,2,5,1,5,1,3,3,2,3,2,4,3,3,1,2,5,1,2,3,3,3,5,0,6,3,4,5,6,1,3,1,5,3,2,3,3,3,4,3,2,3,2,3,1,0,3,3,7,5,0,4,3,2,4,1,1,5,4,1,3,7,0,3,2,3,3,3,2,2,2,2,4,3,2,6,3,2,1,1,0,1,5,3,4,1,2,1,1,7,0,0,5,3,5,2,3,2,1,1,3,2,3,3,2,4,5,3,1,1,3,3,2,1,7,3,4,1,5,2,4,0,3,1,3,2,3,2,3,5,1,4,1,2,2,1,1,1,4,2,2,7,7,5,1,0,2,2,2,2,5,2,3,3,0,0,4,2,1,3,3,3,6,2,3,1,3,3,3,2,1,0,4,2,3,0,3,0,3,6,3,6,7,7,2,1,1,2,2,4
4,4,6,3,6,1,4,1,1,2,2,4,3,3,5,6,1,1,3,3,6,2,1,2,5,2,2,4,2,3,3,1,4,2,2,2,3,3,3,2,4,3,2,4,4,2,3,3,1,4,4,3,4,4,3,2,1,3,1,7,0,3,2,7,1,1,8,3,2,3,4,2,4,2,2,4,2,4,4,2,2,4,3,4,4,1,2,5,1,4,6,4,0,5,2,2,4,1,4,2,1,3,1,2,4,3,6,1,4,3,4,7,1,4,2,3,3,3,3,1,3,2,5,4,3,3,4,5,4,3,4,4,6,5,4,6,4,2,3,4,4,3,3,1,2,4,2,4,1,2,2,1,3,2,5,1,0,4,3,3,4,5,6,2,7,2,1,2,2,3,2,0,4,3,1,3,5,1,0,7,6,3,1,3,6,5,2,2,2,3,4,5,3,3,4,2,5,3,5,2,4,2,2,2,3,5,4,3,4,2,1,3,5,3,1,3,4,3,2,1,0,2,4,2,5,1,4,1,2,0,0,5,3,1,2,7,5,3,4,2,2,5,1,2,0,5,4,1,3,2,2,1,4,2,2,4
0,2,4,6,3,2,3,2,4,2,3,5,4,0,3,3,3,4,2,3,2,1,1,3,4,2,2,0,3,2,3,3,1,4,3,3,2,3,3,4,6,5,3,6,2,1,2,5,4,5,1,3,1,4,0,2,1,3,3,3,4,4,2,2,3,5,3,2,3,3,1,3,4,1,1,2,2,4,1,1,0,6,3,4,4,2,1,3,1,1,2,6,1,3,4,1,2,3,4,1,1,3,4,3,5,3,3,3,4,1,2,4,2,2,3,3,2,3,1,4,1,6,3,9,4,5,2,3,3,1,0,2,2,2,3,2,1,3,5,2,8,3,4,1,6,3,3,1,3,2,2,2,2,2,2,3,1,4,4,1,5,2,3,1,3,4,1,1,2,0,4,2,5,5,2,1,0,3,3,2,4,4,3,3,2,3,0,5,4,2,2,3,3,1,2,1,0,6,3,3,6,4,1,2,1,2,7,3,4,2,2,4,4,6,2,3,2,2,0,1,0,2,3,1,1,3,8,3,4,2,4,2,2,2,1,4,4,4,4,2,4,5,5,5,3,3,0,1,1,0,1,2,2,4,4,4
1,1,2,1,2,2,4,3,1,3,2,0,5,2,3,2,3,1,3,2,3,2,4,3,2,5,2,2,0,6,7,5,3,2,2,3,4,6,3,3,1,0,2,1,2,5,1,2,5,5,4,1,1,5,2,3,4,3,1,1,0,0,5,0,2,3,2,4,3,3,4,3,5,1,4,1,3,6,5,2,4,0,0,2,3,5,3,0,3,4,3,4,2,3,1,1,3,4,4,1,3,1,2,6,3,1,3,5,7,4,4,0,2,2,2,4,2,5,4,4,2,1,5,2,3,4,0,4,2,4,0,6,4,2,2,3,1,4,4,3,2,1,4,3,2,0,2,4,1,2,7,0,2,0,4,1,1,4,3,1,2,2,2,4,4,3,2,2,3,2,3,1,5,3,3,4,4,2,2,3,3,1,1,3,4,1,0,5,3,1,5,2,3,2,2,3,2,3,3,4,3,2,3,2,3,1,3,2,8,2,3,1,4,2,3,3,3,3,4,2,2,1,1,1,3,2,3,7,6,3,2,2,3,0,5,2,1,4,3,3,2,3,0,0,2,3,2,3,3,4,4,2,1,2,3,4
2,5,2,1,2,6,4,2,1,7,6,3,1,5,3,7,2,2,2,1,0,6,2,5,2,1,2,1,3,4,4,6,2,1,5,1,5,1,4,1,0,5,3,4,3,3,4,2,3,2,0,3,4,2,6,1,7,1,4,3,2,2,2,4,1,5,3,4,0,2,2,3,6,2,1,4,4,3,1,4,0,1,2,5,1,3,1,2,7,2,3,2,1,3,2,1,4,5,3,4,2,1,0,1,6,6,4,2,4,1,1,0,1,3,4,5,4,2,4,3,2,5,0,3,1,4,6,0,1,4,6,1,4,6,3,5,3,5,5,4,2,6,2,3,0,4,5,3,2,0,1,4,2,3,0,3,0,3,1,3,3,3,0,5,3,5,2,1,1,4,3,3,5,3,0,1,2,4,3,2,2,3,0,6,1,1,5,4,4,1,7,4,3,1,3,7,1,5,1,3,5,2,2,1,1,4,2,4,4,6,4,4,4,1,2,4,4,3,6,4,5,2,1,1,1,2,1,1,2,2,1,2,2,3,5,3,2,2,4,4,4,6,3,1,0,0,4,7,2,5,0,2,0,3,2,2
3,2,2,1,3,3,2,1,2,3,2,3,6,3,1,2,3,0,2,0,3,3,10,2,1,1,1,4,3,2,0,1,1,2,0,1,4,0,4,3,0,0,1,3,0,0,2,3,1,2,3,3,2,2,3,3,0,0,0,4,3,3,4,2,4,4,5,1,4,3,2,2,4,4,1,4,1,1,2,1,2,2,0,5,0,2,2,2,1,6,2,2,3,3,1,1,7,6,5,3,1,2,0,4,4,3,3,2,3,3,3,3,4,0,0,5,6,1,1,2,2,4,3,5,4,1,4,1,0,5,1,4,3,3,4,3,4,2,1,4,6,4,0,2,5,1,0,4,6,3,2,2,4,4,1,3,2,1,0,2,2,2,0,4,2,4,6,2,2,4,6,2,4,4,2,4,2,6,2,0,2,3,2,2,4,3,4,8,2,4,3,1,4,6,2,7,1,7,3,1,1,3,2,1,3,3,1,1,4,3,2,3,4,1,3,2,1,3,5,4,9,4,5,0,3,1,2,4,2,4,2,3,2,3,2,0,2,1,4,2,2,2,3,8,1,2,5,2,2,4,2,3,5,6,1,4
6,3,8,3,2,1,3,4,2,4,3,2,5,2,0,0,1,1,2,6,2,4,1,7,5,6,3,1,1,8,1,3,3,4,2,3,2,2,1,1,0,6,2,0,2,1,2,4,3,1,1,2,6,1,2,4,1,1,1,5,1,3,3,3,4,1,3,5,3,3,2,3,2,4,2,4,2,1,1,3,2,1,3,6,3,1,7,1,4,4,0,5,3,1,1,2,6,5,4,3,0,1,3,3,2,3,3,2,1,4,5,1,1,1,1,1,2,3,2,0,2,1,4,2,5,2,2,2,4,5,2,2,1,1,4,1,2,1,4,3,2,2,4,4,4,4,5,2,3,2,3,3,6,1,4,2,0,4,2,2,4,5,4,2,2,3,4,3,5,3,5,3,3,3,3,1,6,1,5,2,5,7,5,3,1,4,1,3,0,2,3,4,1,4,1,4,1,0,3,4,3,2,4,3,1,4,5,5,4,6,4,2,5,2,1,1,5,1,4,1,3,4,2,5,4,3,6,3,2,2,4,3,4,0,7,2,2,1,2,3,2,4,2,1,3,3,2,4,3,2,3,3,5,4,5,2
2,3,0,2,5,2,2,5,1,5,3,3,3,2,4,3,2,1,7,4,6,0,4,1,3,3,1,1,5,5,3,3,4,1,4,6,2,4,1,3,4,4,4,3,2,1,1,1,1,1,3,3,2,0,5,5,1,5,2,1,1,1,5,2,5,2,2,0,1,6,2,1,2,0,2,1,2,4,6,4,2,1,4,7,2,2,2,1,1,0,2,2,2,3,7,5,2,3,8,4,2,3,1,1,2,3,5,0,4,3,1,2,1,2,6,2,4,5,4,6,5,1,3,1,1,3,2,3,3,1,3,1,3,4,2,4,1,4,1,4,2,6,1,1,2,0,3,2,4,2,4,2,3,1,4,3,0,1,4,1,2,0,4,1,2,2,3,0,1,2,1,3,2,1,5,1,1,3,3,6,1,0,4,3,4,2,5,4,6,2,3,3,1,0,3,2,0,2,5,3,2,2,3,2,1,5,1,2,6,2,6,7,3,3,2,5,5,2,0,2,3,4,2,2,5,4,4,5,5,4,1,4,3,3,2,4,4,4,4,3,0,2,2,2,1,3,0,3,2,4,5,3,0,8,3,4
6,2,5,6,0,4,4,1,3,0,3,4,3,4,6,1,3,2,2,1,2,5,1,5,2,5,5,1,1,1,1,2,3,3,0,1,2,2,2,1,2,3,2,1,1,1,1,4,6,3,3,2,3,4,2,5,2,2,6,2,4,2,1,3,2,3,4,2,4,3,3,6,4,3,3,3,6,1,1,1,3,3,0,3,4,2,4,4,2,2,3,5,2,3,1,1,4,10,1,1,4,2,1,2,1,3,5,2,2,4,0,5,1,1,0,2,0,4,4,2,4,2,3,5,2,1,1,1,1,1,0,4,1,1,1,4,6,4,1,1,4,1,1,2,2,1,2,2,2,4,1,4,1,0,2,5,2,1,3,2,2,6,3,1,3,2,4,2,3,1,1,3,1,3,3,2,5,4,3,3,0,1,2,0,4,1,3,7,1,3,9,2,3,5,7,6,1,2,2,3,2,4,4,4,0,6,4,6,2,4,5,3,3,2,5,5,1,4,4,0,5,0,2,3,6,1,3,2,1,2,6,7,4,5,8,1,2,1,3,2,1,3,2,2,2,1,3,3,3,2,2,2,3,3,3,1
1,3,4,2,1,1,0,3,1,4,2,3,2,1,3,2,4,0,5,2,1,1,3,2,3,0,1,2,2,2,0,3,4,1,3,1,4,1,3,3,4,1,2,5,2,2,4,4,1,0,1,3,2,3,0,2,2,3,3,2,3,0,4,0,2,3,11,2,4,2,3,3,4,2,4,0,2,2,1,0,2,3,3,1,4,2,0,2,4,3,1,4,3,2,1,5,3,0,2,1,6,1,1,5,2,1,5,7,3,0,3,2,4,2,3,1,3,1,3,1,1,4,2,2,1,2,5,1,5,3,3,2,0,3,1,0,3,2,4,2,1,1,1,4,3,4,2,3,3,2,2,1,1,2,1,1,0,2,5,4,2,3,2,4,2,2,1,4,3,4,3,3,3,1,4,0,0,2,1,3,1,2,3,5,4,2,1,8,3,2,2,2,3,4,2,0,3,5,1,2,6,1,3,7,2,1,2,3,0,4,6,3,0,4,2,2,2,3,4,1,1,6,1,3,3,3,3,2,1,3,3,1,0,0,5,0,4,2,2,4,1,0,2,3,5,1,2,2,1,4,2,2,1,2,2,8
0,1,1,3,2,2,3,3,0,5,3,2,2,0,1,0,3,0,4,3,5,4,1,2,2,1,2,5,1,1,3,3,5,2,5,6,0,0,2,4,1,2,3,2,4,2,2,2,5,3,1,3,3,3,1,7,3,2,4,2,1,1,3,4,3,3,2,2,0,6,5,6,4,2,2,2,3,2,5,1,1,7,2,4,1,3,1,4,4,0,1,3,1,1,2,1,2,2,2,6,1,3,0,6,4,3,3,5,0,2,0,2,1,5,3,2,4,1,1,2,1,0,1,5,1,3,2,1,4,2,1,1,1,1,0,1,2,4,1,6,2,4,2,0,1,3,7,1,8,2,2,3,3,3,4,2,1,3,2,4,5,1,2,3,2,1,3,4,1,2,0,2,5,3,5,1,3,1,2,4,6,1,4,5,5,0,4,1,2,1,4,1,3,2,4,1,2,3,2,4,2,2,2,5,2,3,3,3,7,5,1,5,2,4,2,5,2,4,4,3,4,4,3,1,2,2,5,3,2,4,6,1,2,0,3,2,2,2,5,1,6,1,1,2,1,1,1,1,3,7,2,5,3,4,2,0
4,4,1,1,2,4,1,1,1,2,4,8,2,3,5,3,2,2,2,3,1,10,7,3,5,1,2,3,6,4,3,3,3,2,2,2,0,1,5,4,2,3,7,2,2,0,1,1,4,4,6,0,4,2,1,0,3,0,2,4,5,4,3,4,1,3,2,1,0,0,2,2,2,1,2,0,2,2,1,3,3,1,4,2,2,3,2,3,3,3,3,1,2,2,2,2,3,2,1,4,2,1,4,4,3,1,2,3,4,2,1,2,0,1,1,1,2,2,3,3,4,3,2,5,3,2,0,2,1,2,2,3,1,3,5,3,1,4,3,4,4,2,2,2,4,3,4,6,2,5,3,1,3,2,2,1,0,6,1,4,0,5,1,2,1,4,2,6,6,0,3,0,5,0,2,5,1,5,7,5,4,2,2,1,5,1,6,1,4,2,4,1,3,3,7,3,6,1,4,2,1,3,3,2,4,2,5,3,4,6,3,6,3,3,1,3,3,2,1,2,5,3,3,3,2,2,4,3,5,2,4,7,6,2,3,3,4,3,3,2,2,1,1,1,2,5,2,2,3,3,3,2,6,9,3,2
1,0,6,3,4,0,0,5,2,3,3,1,1,2,3,2,2,4,3,2,3,3,3,6,1,4,8,1,5,6,2,4,1,0,3,4,1,3,1,3,1,3,3,0,0,1,2,2,2,3,2,2,5,2,3,0,2,3,3,2,0,2,3,2,3,2,3,4,2,0,6,3,3,8,3,3,5,1,1,1,3,2,5,3,2,3,1,5,0,1,4,2,1,3,3,6,2,2,2,6,3,2,2,3,4,1,8,1,4,0,4,3,2,2,3,1,1,3,1,3,2,1,6,4,2,1,4,2,0,0,2,2,1,1,5,2,2,6,1,9,4,6,1,0,2,1,3,3,3,2,4,0,3,1,2,1,0,2,0,5,1,1,0,2,0,0,2,0,1,6,4,2,1,3,2,1,3,3,3,2,2,4,3,0,2,3,5,1,2,3,2,3,1,2,2,1,0,2,5,2,3,3,2,3,5,2,1,2,3,4,1,3,6,2,5,6,1,6,2,5,2,2,2,4,2,3,2,6,1,3,3,1,5,0,2,2,2,10,3,1,2,4,2,2,4,1,2,5,1,2,3,2,1,2,1,1
2,0,2,1,1,2,0,5,1,3,1,2,3,3,3,4,0,1,3,2,2,4,2,3,3,3,5,1,1,4,3,3,3,4,1,4,3,4,2,1,3,2,4,3,4,1,0,4,1,0,6,6,6,3,0,4,1,4,2,5,1,4,1,2,2,4,5,1,4,1,1,3,3,3,1,1,6,2,0,3,4,3,0,1,5,5,6,3,3,3,1,3,1,2,2,0,1,1,2,3,2,4,2,1,2,2,6,2,4,5,4,3,1,8,2,2,1,2,1,0,0,3,4,3,2,1,2,0,4,3,6,2,6,0,1,4,0,3,4,2,1,2,3,2,0,3,4,1,2,2,7,4,3,3,1,5,5,1,1,2,3,0,4,1,0,0,1,3,4,4,4,2,3,0,2,3,1,2,3,1,0,2,2,2,5,3,0,2,2,1,1,1,3,2,2,4,6,1,2,2,0,1,2,3,1,7,2,1,2,7,4,4,4,0,1,3,3,3,5,5,2,0,3,1,5,1,0,1,1,6,5,0,3,2,1,3,4,4,4,2,4,4,1,2,1,4,2,4,3,4,3,4,4,5,4,1
4,2,2,2,2,3,4,2,1,0,3,5,1,2,3,5,3,1,2,2,3,4,3,2,4,1,4,0,2,2,5,2,2,5,3,5,3,8,3,1,6,4,2,2,5,1,3,5,4,3,3,2,2,0,4,3,3,1,4,1,3,1,0,4,5,2,3,4,1,2,2,0,1,4,2,2,0,0,1,2,1,3,2,4,7,2,2,2,2,3,2,1,4,2,4,3,3,2,0,1,2,3,3,2,4,4,3,3,2,3,1,3,4,0,0,4,4,6,0,1,3,2,3,3,3,5,0,1,2,7,1,4,1,2,2,1,1,2,4,4,2,1,1,2,2,1,4,1,5,2,3,2,3,0,2,4,3,4,1,4,2,0,2,1,2,0,2,4,1,3,4,4,2,1,0,5,2,1,4,0,4,3,9,0,2,5,2,1,4,0,4,0,2,0,1,2,5,4,3,6,1,2,3,2,5,6,1,4,2,2,6,3,2,3,2,5,5,4,6,4,1,1,2,3,2,2,0,0,1,2,2,2,2,4,4,2,3,5,4,1,3,2,2,5,2,4,3,2,7,6,2,4,1,4,1,4
2,1,4,6,1,5,4,1,3,1,1,2,6,0,6,7,4,5,5,2,3,5,2,3,2,2,4,6,1,1,3,1,2,5,2,4,1,2,6,2,1,3,3,1,4,1,6,3,4,4,0,4,3,4,1,5,0,2,5,4,2,3,4,2,6,7,1,2,1,5,2,6,2,5,5,2,3,1,3,0,1,2,2,1,3,3,3,4,4,3,3,5,6,4,3,4,1,1,2,5,1,4,0,3,1,1,3,4,4,0,2,2,2,2,3,1,0,1,3,2,5,5,3,2,2,2,4,3,3,3,0,1,4,1,5,2,4,0,8,1,0,2,2,3,2,2,2,2,2,2,2,2,4,4,2,3,1,0,1,1,1,2,2,2,1,6,2,3,3,3,3,2,4,1,3,4,1,2,0,5,0,4,2,6,3,2,4,0,3,2,2,3,3,2,0,2,0,2,3,2,3,2,3,3,3,5,1,3,3,6,7,3,3,3,0,4,1,3,3,4,1,2,3,2,0,3,2,1,1,1,2,1,7,1,1,3,5,0,3,2,5,3,2,7,2,2,2,3,6,5,5,0,0,5,1,5
4,1,4,1,5,1,2,6,3,3,2,2,3,4,5,2,4,0,4,6,2,1,2,2,5,4,2,2,3,0,0,8,1,1,6,1,1,3,2,4,0,3,2,3,3,2,1,5,0,2,2,3,1,3,3,1,3,4,3,0,3,1,3,4,4,3,2,0,0,5,4,3,4,2,3,4,2,1,1,2,1,2,4,3,4,4,2,2,1,2,4,6,1,2,2,1,4,4,4,4,3,5,7,5,0,0,4,4,2,4,4,3,2,4,2,0,2,7,5,1,2,4,6,5,3,3,6,7,1,3,2,3,2,1,1,5,3,1,5,2,1,2,2,2,4,4,5,4,3,4,3,0,1,1,2,3,4,2,1,4,1,2,4,2,4,3,0,3,3,2,4,3,4,6,2,3,0,5,3,1,2,3,7,3,5,1,1,4,2,3,3,3,0,1,3,3,3,3,3,3,3,3,5,4,2,3,3,3,1,4,3,3,0,1,2,0,3,7,0,3,3,2,2,5,3,3,5,0,2,7,1,3,5,4,1,1,4,7,2,5,2,4,0,5,3,2,0,2,5,0,6,1,5,7,1,1
1,1,5,2,5,3,3,2,3,2,3,4,1,5,0,3,4,3,3,3,3,2,6,2,3,5,3,6,0,2,2,1,0,1,0,1,2,5,0,1,4,1,3,1,4,0,3,0,3,1,4,3,3,6,3,3,3,3,1,3,2,4,2,3,2,3,3,3,0,5,3,5,1,1,2,4,0,3,1,3,2,6,1,0,6,3,4,2,6,3,3,2,2,6,2,1,1,2,3,3,2,3,3,4,7,2,4,5,2,1,4,3,5,4,2,2,2,4,3,2,3,6,3,5,0,4,6,4,2,4,4,4,3,2,2,7,5,3,1,1,6,4,5,2,1,6,3,1,3,1,1,3,3,3,3,2,1,1,4,7,4,4,0,1,1,1,2,3,3,2,5,3,5,1,2,3,2,2,1,1,6,2,1,4,3,8,2,1,5,4,3,2,1,4,3,6,3,2,2,2,4,1,3,2,2,2,4,3,2,2,3,3,2,5,1,1,1,3,2,1,4,1,4,2,7,4,5,5,3,0,4,2,5,1,8,2,3,1,4,3,4,2,3,2,2,4,1,4,2,2,1,6,7,0,6,1
2,3,4,0,2,1,2,1,4,3,2,1,3,3,3,0,3,3,5,5,2,1,2,3,1,3,5,3,2,4,5,2,6,4,1,4,2,1,2,4,4,2,2,6,4,3,3,3,0,3,4,3,5,3,3,5,0,7,4,4,1,2,0,1,0,3,3,2,9,0,3,2,2,4,3,1,3,0,3,6,2,0,1,0,2,3,6,2,3,5,0,3,3,3,4,2,1,2,2,5,4,2,4,6,1,2,6,6,4,3,3,0,2,4,1,3,2,4,6,2,4,2,0,2,3,0,4,1,4,6,1,3,2,4,2,3,1,0,4,1,5,1,4,2,1,3,2,3,3,2,1,2,2,2,5,2,5,5,4,4,3,1,0,1,1,4,3,3,2,3,0,3,1,2,2,3,5,4,3,0,1,4,2,3,4,2,3,3,4,2,4,2,5,1,5,2,5,5,3,0,1,2,6,2,4,6,4,4,3,2,1,3,5,6,1,3,3,3,1,0,5,3,0,2,2,4,2,5,1,4,4,1,4,5,2,2,1,2,2,3,5,6,2,1,2,1,3,1,3,0,4,2,5,4,5,1
6,2,5,3,1,3,4,4,3,1,3,4,3,3,3,1,0,3,2,3,6,2,3,4,7,2,4,1,3,2,4,4,1,5,4,2,5,4,1,2,4,1,3,6,8,1,0,0,3,2,4,3,4,1,3,0,2,2,3,1,5,3,2,3,2,6,4,6,1,4,1,8,3,3,1,5,2,3,1,6,3,3,6,1,1,2,5,3,1,1,3,3,0,0,2,0,3,1,2,3,1,1,1,6,5,5,1,7,1,0,1,5,2,1,4,3,11,2,2,2,4,2,3,1,4,1,1,3,1,1,6,5,2,0,3,1,3,1,1,4,2,4,4,1,5,3,1,2,1,3,1,3,2,4,4,2,1,1,2,0,7,2,4,2,0,2,8,1,2,1,2,0,6,7,4,3,4,4,4,2,1,1,2,8,2,5,2,4,2,1,3,4,1,1,2,2,1,2,3,8,0,0,3,2,2,1,3,1,0,3,0,4,4,1,2,2,4,3,1,4,3,2,7,1,3,0,2,7,3,1,2,6,2,2,4,3,5,2,3,0,2,5,2,2,2,2,2,6,4,3,2,6,2,2,4,0
1,3,0,1,3,2,1,2,2,3,1,3,4,4,2,2,2,4,3,2,2,2,0,3,2,3,4,3,5,3,4,4,4,3,2,3,2,2,2,3,1,3,3,2,2,0,0,2,4,5,3,4,4,3,2,0,3,2,2,1,2,5,2,1,3,4,4,5,3,1,2,1,1,2,0,2,4,2,2,6,3,2,1,3,2,6,1,1,4,3,9,0,4,2,1,1,4,1,3,5,1,1,2,1,2,5,5,6,2,2,0,4,3,1,6,1,2,0,3,2,2,2,2,3,0,1,3,3,2,1,1,4,1,1,2,3,2,3,3,2,2,1,2,2,4,2,1,3,5,3,0,3,0,4,0,3,4,3,1,2,3,2,2,0,3,2,3,5,3,2,2,2,2,4,1,1,3,3,4,5,2,5,5,4,7,1,1,3,3,2,3,3,5,1,1,2,1,3,6,6,0,3,1,6,3,3,2,3,4,3,3,2,4,0,6,3,4,3,2,3,4,2,5,4,1,3,3,3,3,4,3,5,3,2,1,3,4,1,2,3,2,2,4,2,1,2,0,2,0,4,5,3,4,2,5,1
2,2,0,2,1,5,3,3,3,2,3,2,1,5,3,5,4,4,4,4,1,1,4,2,0,1,4,4,5,1,5,2,6,3,2,3,2,2,8,3,2,4,3,3,3,4,2,5,2,3,6,5,3,3,4,3,0,5,3,0,1,2,2,1,2,2,4,2,3,3,2,0,1,2,4,4,3,2,4,3,2,1,2,3,1,3,3,2,2,2,2,3,1,0,5,3,3,3,7,4,4,3,3,2,3,5,2,2,0,1,1,1,3,2,3,5,4,1,1,2,2,1,4,1,3,2,3,5,0,3,3,5,0,0,4,3,7,2,2,1,3,3,0,1,3,0,4,3,4,5,3,3,0,2,2,4,2,3,3,3,5,3,3,3,5,3,2,2,1,5,2,3,4,2,2,4,4,1,7,5,5,5,2,2,2,3,3,1,0,3,2,5,2,2,3,3,1,2,4,6,4,7,1,7,1,6,2,5,0,1,2,5,1,2,4,2,5,2,3,2,3,5,4,6,4,1,2,2,7,1,4,3,10,6,1,2,1,2,3,4,2,2,4,3,0,2,1,1,3,2,4,0,1,4,4,1
4,2,5,2,1,6,6,4,4,1,3,3,5,4,6,2,2,2,1,5,7,1,3,3,2,3,4,2,0,7,3,4,5,3,6,3,2,4,4,1,2,1,4,3,3,8,0,3,1,2,1,1,3,2,2,4,4,1,5,3,2,1,1,4,4,1,3,5,5,4,3,1,3,3,3,2,1,3,4,2,5,3,3,3,3,2,2,3,3,3,3,6,5,4,5,3,4,2,1,2,0,3,0,2,0,3,4,4,2,2,2,4,3,2,3,7,0,6,3,4,0,3,2,1,2,2,3,0,5,3,3,4,6,5,5,0,2,5,4,1,4,3,5,5,1,5,4,3,0,3,4,2,2,0,1,3,5,2,5,1,1,2,3,2,0,0,1,3,6,1,8,3,4,1,5,3,4,2,2,0,3,3,4,3,4,4,3,0,4,3,0,2,3,5,3,3,0,3,2,3,5,2,2,0,2,3,5,4,1,1,2,0,0,3,2,0,1,3,2,3,5,1,4,5,3,2,1,3,2,1,5,2,3,4,0,0,2,1,2,4,3,3,2,2,3,0,5,5,4,3,1,5,2,4,3,3
0,1,6,4,3,3,0,2,2,2,4,0,3,2,3,1,5,3,2,4,4,3,2,0,4,3,4,3,1,1,3,4,0,3,1,3,4,1,3,0,4,2,1,3,1,6,1,8,3,2,3,4,2,1,3,4,2,2,1,1,4,3,6,5,3,2,3,3,4,2,2,3,1,5,2,4,5,4,5,2,3,4,3,5,0,2,4,2,2,1,4,1,3,1,1,1,5,3,6,2,3,2,1,0,1,3,5,3,1,1,0,4,3,2,0,2,3,4,2,5,1,3,4,4,4,0,3,3,5,2,2,3,3,2,2,4,3,2,4,2,3,1,3,0,4,5,3,1,1,2,5,1,3,1,1,3,3,1,1,6,5,2,2,2,3,1,3,1,2,3,3,1,5,2,3,2,5,3,2,4,2,2,3,2,3,2,2,2,2,1,3,2,4,4,3,2,4,2,3,3,4,3,1,4,0,2,3,2,2,1,6,3,4,3,2,3,3,2,4,2,2,4,4,3,6,3,7,3,3,3,3,2,3,3,2,4,2,4,6,2,3,2,5,2,3,6,4,6,3,3,1,3,2,8,1,3
3,6,1,3,0,2,5,3,2,5,1,1,0,1,4,3,0,4,2,6,1,2,2,3,6,2,1,2,2,3,2,3,1,0,2,6,2,8,2,2,3,0,0,3,3,4,3,0,1,2,3,3,5,3,2,3,1,2,3,2,1,6,2,0,2,3,4,2,1,2,3,1,5,1,6,2,7,2,0,2,5,7,0,3,2,2,3,2,1,2,5,4,2,2,3,6,0,3,2,3,4,1,1,4,0,2,4,3,1,2,6,0,3,2,4,1,4,3,2,4,2,0,4,3,1,5,1,3,3,2,2,2,2,4,1,3,3,5,5,7,4,5,2,4,4,0,3,4,3,1,3,4,0,4,3,4,2,3,2,3,3,1,2,5,2,1,0,3,1,1,4,6,1,3,2,3,1,4,2,2,5,0,1,4,2,2,2,0,4,2,7,2,1,4,1,0,6,0,1,3,6,3,3,3,3,4,4,1,1,4,1,1,2,1,3,1,5,3,1,0,5,4,1,3,0,3,4,1,4,4,3,3,1,5,3,3,1,2,5,1,3,6,6,5,2,2,2,1,2,2,3,0,2,5,0,7
5,2,2,3,4,0,2,1,0,2,2,5,5,2,5,2,0,1,3,2,8,4,2,3,0,2,1,3,4,1,0,4,2,1,3,2,2,0,5,0,1,0,0,6,1,2,0,1,1,3,2,4,6,5,3,1,2,6,5,2,2,4,6,5,1,2,4,2,3,3,1,5,3,5,3,1,6,3,2,1,1,4,2,4,2,3,0,1,1,1,5,1,3,4,3,4,3,0,1,6,3,4,5,4,1,4,3,5,2,3,7,2,0,0,6,6,6,1,0,4,2,1,3,2,0,5,0,5,4,0,2,2,2,2,2,0,1,1,1,6,2,3,6,2,2,3,1,3,3,3,2,3,4,4,2,3,1,2,2,2,4,3,1,3,0,2,4,2,2,6,1,1,1,1,2,2,4,1,5,4,4,0,2,1,5,6,3,2,2,1,4,3,4,0,2,2,1,4,2,4,3,0,6,3,3,2,1,3,5,1,6,3,3,4,3,1,2,2,0,2,4,5,7,1,5,3,3,1,5,2,2,4,1,2,4,3,7,2,3,1,5,1,4,5,4,3,1,1,4,6,5,1,2,2,1,6
3,2,2,4,1,3,3,3,3,3,0,2,4,8,1,2,3,5,4,1,2,3,3,2,3,3,5,2,2,2,2,1,7,2,3,2,2,3,2,1,2,2,2,1,0,2,2,0,3,1,3,2,4,2,3,4,2,2,2,4,2,5,0,5,0,2,5,2,2,2,0,2,3,2,7,2,3,5,1,3,3,1,4,0,3,5,2,5,2,3,1,1,6,4,3,2,4,2,0,5,1,0,4,1,4,3,3,0,2,2,2,3,2,4,2,1,2,5,7,2,1,3,0,3,2,3,2,7,4,1,1,2,1,2,2,3,1,3,2,3,3,3,3,3,1,3,3,2,1,3,4,1,3,2,0,2,1,6,2,4,6,0,3,2,3,5,1,2,1,3,1,3,4,1,6,0,1,2,3,3,3,2,3,1,3,2,4,2,1,1,5,2,3,1,3,2,5,2,1,2,1,3,5,5,2,1,1,2,0,5,2,4,2,2,3,3,1,4,6,6,3,1,2,3,0,4,5,3,2,0,4,3,3,2,2,3,3,1,1,1,5,4,7,4,6,2,3,2,4,5,5,2,0,5,0,3
1,1,1,0,6,2,3,2,6,2,2,4,2,2,2,1,1,3,2,3,5,1,2,3,4,3,4,2,5,4,5,1,5,1,1,6,1,4,0,1,4,0,1,2,2,1,1,1,5,4,1,0,5,0,0,3,1,4,2,4,3,0,4,4,2,1,4,5,6,3,1,2,3,2,5,3,0,3,7,2,1,4,2,2,4,5,1,2,3,5,6,6,1,1,3,1,6,7,1,4,2,4,5,2,7,3,0,2,2,4,4,1,1,4,4,4,2,0,4,3,2,4,2,1,2,0,2,3,8,0,0,2,4,0,2,6,3,2,2,4,0,1,4,2,2,2,3,3,4,3,5,2,1,3,1,2,2,3,4,3,2,5,4,2,1,2,6,5,3,2,4,4,4,4,5,1,2,3,1,2,4,4,7,1,2,5,3,2,2,8,2,2,0,1,1,3,2,2,1,6,4,2,3,4,3,1,6,1,2,2,0,2,2,2,1,3,2,2,1,2,4,1,3,1,3,1,2,0,3,2,2,2,5,3,0,1,2,2,3,2,2,4,6,1,1,1,2,7,1,4,2,4,7,2,1,2
2,2,0,2,3,0,4,2,5,0,5,1,2,2,2,0,4,3,1,3,4,2,5,2,2,5,2,1,3,2,4,5,5,4,5,0,2,2,4,1,2,1,3,2,2,0,1,1,2,0,1,1,2,6,1,4,0,1,1,2,1,2,3,2,2,1,3,1,0,4,5,3,4,3,5,3,3,6,0,2,2,4,3,4,2,3,3,1,4,3,3,1,3,4,3,3,1,2,2,3,9,2,2,4,4,3,2,4,2,5,5,4,2,0,1,5,4,3,0,3,5,4,2,7,3,3,4,3,5,4,1,4,2,3,2,2,0,6,2,1,3,3,4,0,2,4,0,1,1,2,6,0,3,3,1,4,2,2,7,4,1,4,3,2,3,4,4,5,4,5,2,4,6,1,4,3,4,1,4,3,3,4,2,2,0,4,4,2,3,5,4,2,2,2,1,2,4,2,2,2,2,1,1,2,4,2,1,2,4,4,2,3,1,4,2,1,7,2,1,6,2,0,1,4,7,5,2,2,5,1,2,1,1,6,3,4,4,1,4,2,5,1,2,3,2,1,1,2,1,2,2,3,2,1,4,4
2,4,2,4,2,2,3,2,1,4,2,1,2,3,1,2,2,5,4,2,0,3,5,6,2,3,3,3,2,0,1,2,2,3,6,3,1,0,1,4,4,3,6,1,4,1,2,0,2,6,0,3,3,3,2,1,2,0,3,0,1,1,2,2,1,0,3,0,1,2,1,1,4,1,2,2,6,6,3,3,4,3,4,3,1,1,2,4,3,1,0,1,1,1,4,4,3,6,3,3,5,1,5,1,4,1,4,2,5,0,4,3,1,6,2,2,2,1,3,2,3,1,4,2,5,1,2,1,1,6,4,3,3,4,4,5,1,1,2,1,2,1,8,4,3,3,2,1,6,4,5,4,2,3,3,2,5,4,8,2,1,1,5,4,3,1,4,2,2,1,6,4,3,5,1,1,2,5,3,2,2,5,2,3,4,5,0,5,6,2,1,2,2,2,1,4,3,2,2,4,4,1,0,0,2,4,3,0,1,3,3,9,1,3,3,2,6,4,0,6,4,4,1,2,2,5,4,5,8,3,1,2,5,3,1,1,1,0,3,3,3,3,3,4,3,2,3,4,7,2,4,3,3,3,2,1
5,2,2,2,2,4,2,1,4,0,3,1,1,1,4,3,5,5,5,4,2,4,2,3,2,1,7,4,5,6,4,2,1,2,0,3,2,2,4,4,1,4,1,1,4,3,3,1,4,3,4,1,6,2,1,1,1,2,2,3,3,1,1,0,1,2,2,3,2,4,0,1,4,3,3,0,3,3,2,4,5,4,3,3,0,4,3,4,0,3,4,3,2,1,0,2,5,3,2,2,5,1,3,4,2,2,2,4,4,2,2,5,4,2,8,3,3,2,3,5,6,2,4,3,3,3,5,6,2,2,1,6,2,4,2,4,1,3,4,3,3,1,5,2,2,1,3,2,1,2,2,2,2,1,3,4,2,3,7,1,2,6,3,4,2,1,6,4,3,2,1,3,2,3,3,0,4,4,5,2,2,3,6,3,0,1,2,5,4,1,1,1,1,0,4,3,0,4,4,2,1,0,1,3,4,3,2,5,4,2,5,3,3,3,1,3,3,2,3,2,4,2,3,5,2,3,4,3,2,4,7,2,4,1,1,2,5,3,3,2,1,1,6,2,5,2,1,3,1,5,2,2,6,5,3,3
4,3,2,1,5,1,3,1,3,4,4,2,1,6,4,3,2,6,5,3,0,0,1,1,3,1,3,0,3,7,8,7,3,3,4,3,0,6,2,4,5,3,1,1,4,2,0,7,5,4,2,3,1,7,3,2,1,2,2,4,1,6,1,2,2,5,4,5,3,4,2,2,3,5,0,1,1,8,2,1,2,2,6,4,4,2,3,1,2,1,3,2,3,3,0,5,1,4,3,2,2,3,3,2,1,2,2,2,2,3,2,3,3,2,5,2,5,5,3,1,7,2,1,1,0,0,2,4,2,2,2,4,1,2,3,0,2,4,1,4,1,4,1,4,2,2,3,1,2,4,3,3,2,3,0,0,2,1,2,4,2,4,2,4,4,2,4,7,4,9,4,5,3,3,0,2,1,3,6,0,1,2,2,0,3,2,5,7,4,2,1,0,3,1,2,2,1,0,1,3,2,1,1,1,2,2,4,2,3,1,6,4,3,3,3,5,1,6,2,1,4,2,4,3,2,5,2,4,2,3,3,5,2,4,2,3,2,2,3,1,2,2,4,2,4,1,3,2,3,2,5,2,3,3,5,4
0,4,4,2,5,4,1,4,2,1,3,3,1,6,4,4,3,3,5,5,2,4,1,3,1,1,3,7,3,0,3,2,3,3,4,4,3,1,6,2,2,1,1,2,6,3,3,1,2,2,0,4,4,0,1,3,2,0,3,2,3,1,4,4,1,2,2,1,2,1,3,2,3,3,1,2,0,6,0,0,1,3,7,2,0,2,5,2,4,2,4,2,3,6,2,1,1,3,3,6,1,3,3,2,2,1,2,3,0,6,3,4,3,0,5,4,2,4,3,5,1,6,2,2,1,2,3,0,4,2,3,2,3,2,1,3,1,3,1,3,2,4,5,2,4,2,5,1,5,1,2,2,6,2,6,3,4,4,2,6,3,5,6,2,3,2,2,0,3,4,1,4,1,3,1,4,1,4,3,3,5,3,2,5,2,0,3,2,2,3,1,2,2,1,3,1,3,6,1,3,2,2,1,0,3,3,1,4,1,5,0,2,5,0,5,2,0,1,1,3,1,3,5,5,3,2,3,5,1,3,6,1,1,2,4,7,6,2,2,0,1,3,2,1,2,2,8,1,2,6,1,0,2,5,5,2
2,7,3,1,3,4,4,2,2,3,1,5,2,3,4,2,5,3,1,0,1,1,1,4,4,0,3,4,4,3,4,2,4,3,5,2,7,3,5,3,2,1,5,3,5,1,7,1,4,3,2,3,3,3,3,4,2,3,3,4,3,2,2,4,4,2,2,2,3,4,3,0,2,3,2,3,2,0,0,2,2,1,4,3,1,1,5,1,3,3,3,4,3,0,3,3,1,3,2,4,2,0,1,4,1,5,3,2,1,4,1,1,2,1,1,1,5,2,2,1,5,3,2,2,3,3,2,3,1,3,0,5,4,3,2,2,2,4,5,3,5,3,4,5,3,2,2,3,3,2,3,2,5,2,3,4,4,2,4,3,3,5,3,7,5,4,3,2,5,3,2,4,3,5,3,3,5,2,3,0,0,1,0,3,4,2,5,2,1,5,2,3,3,1,5,4,2,6,4,1,3,3,2,3,2,4,4,1,3,3,2,1,3,3,4,3,6,0,4,1,1,2,3,2,1,1,5,1,3,5,5,1,0,6,7,1,3,1,5,3,2,3,4,3,2,7,3,1,1,2,3,0,4,1,0,1
3,3,2,4,5,1,1,9,3,1,2,2,0,2,2,4,0,2,1,7,4,4,1,3,1,3,2,4,1,1,2,2,1,1,1,2,4,2,4,0,1,5,1,4,2,0,5,2,5,4,0,4,0,2,2,0,2,1,2,3,0,0,1,0,1,0,3,2,1,2,1,0,4,3,3,3,0,2,2,0,2,3,1,2,1,2,2,2,2,1,3,3,4,3,1,2,4,5,2,2,3,2,4,1,1,0,5,3,3,3,1,3,1,6,3,5,4,2,4,3,3,1,3,4,4,5,7,1,2,3,3,2,1,6,4,1,3,3,2,2,5,4,2,2,2,1,1,5,5,3,4,4,2,3,6,2,2,5,1,3,2,3,3,4,3,4,1,0,5,2,2,1,5,4,1,3,4,3,2,6,2,3,1,4,0,1,6,7,1,4,5,4,6,2,3,5,2,1,1,1,5,3,2,0,3,5,2,3,0,5,1,3,1,0,7,4,1,5,2,3,2,2,3,4,2,5,2,2,3,3,1,5,6,2,2,1,8,5,2,0,8,5,2,2,3,3,6,4,3,3,3,2,2,3,4,2
1,2,4,1,2,4,0,3,3,5,2,3,2,1,6,3,1,2,4,1,3,2,7,3,2,5,2,5,3,6,2,1,7,3,3,4,5,5,0,4,0,2,4,4,2,6,0,4,5,0,5,6,6,2,1,1,2,1,3,3,2,5,5,6,4,2,2,2,3,2,4,6,3,3,1,3,2,1,4,1,0,6,0,3,2,3,1,1,2,5,3,5,3,6,3,1,2,3,2,3,2,2,4,1,2,1,2,2,0,3,2,3,2,5,6,6,3,3,3,4,1,4,1,1,1,2,3,2,2,4,5,1,2,0,3,3,0,4,3,2,1,1,3,3,2,1,3,1,1,3,3,2,2,2,5,5,2,1,7,4,2,2,2,4,4,4,3,2,2,1,4,6,1,3,2,5,2,4,3,4,3,4,0,5,6,4,5,4,5,2,4,3,2,3,3,8,2,2,2,1,3,4,3,2,0,5,1,0,5,1,1,0,2,3,4,1,0,4,2,1,1,1,3,4,3,3,0,0,3,2,3,2,5,2,5,5,2,3,3,2,3,4,5,2,3,6,1,4,2,7,1,5,4,7,0,2
1,2,4,4,2,1,4,2,4,4,2,5,4,3,5,1,6,4,1,3,0,4,2,2,4,4,3,1,1,2,2,2,0,3,5,4,7,3,1,1,2,3,4,5,4,2,0,3,0,3,6,2,2,1,5,4,3,3,2,3,3,4,0,2,4,4,3,1,0,3,4,2,1,3,6,0,5,1,6,2,6,2,3,3,0,3,1,1,4,0,2,3,4,6,6,4,3,4,5,1,1,0,5,3,6,1,2,3,3,1,1,1,1,2,3,2,1,3,4,4,2,3,2,4,2,4,2,4,1,3,2,3,4,5,4,3,2,1,6,2,1,5,3,3,1,1,2,2,5,3,2,1,4,2,6,1,4,2,1,6,1,2,2,4,3,3,4,1,0,0,3,4,5,2,3,4,4,3,3,4,2,8,3,1,5,1,2,3,6,3,3,4,0,6,3,3,7,5,3,1,2,2,2,2,6,0,1,2,3,2,4,2,2,2,5,1,1,0,2,5,7,4,2,3,2,2,3,4,6,3,5,1,2,3,3,1,6,2,2,4,2,4,5,4,9,4,2,3,1,0,5,3,1,3,3,2
1,4,5,2,1,1,2,3,3,4,5,2,4,2,5,0,1,2,6,1,5,4,3,4,5,2,6,3,3,5,2,0,3,3,2,2,3,2,3,4,2,4,1,3,4,0,2,3,4,4,4,1,1,1,0,1,1,0,4,6,3,1,3,3,1,7,2,0,0,3,5,2,1,2,2,3,1,1,1,2,1,2,2,2,1,5,3,5,1,1,3,3,2,3,1,2,5,2,2,2,4,1,2,3,2,3,1,1,0,3,0,2,6,3,0,4,3,3,2,5,2,4,4,4,6,2,5,2,0,3,5,2,3,2,1,1,4,3,3,0,2,1,1,4,1,5,3,2,4,6,3,4,3,2,4,5,2,4,1,3,3,3,2,0,1,0,3,1,2,2,3,4,4,2,2,2,2,2,3,2,2,1,2,7,3,5,3,5,3,4,2,4,7,6,4,3,0,2,2,6,8,2,2,1,3,1,1,4,4,6,2,3,4,1,5,3,1,5,4,2,4,3,2,5,2,3,7,2,1,2,3,3,1,3,2,3,3,3,2,3,3,3,2,2,0,2,1,1,0,0,2,2,1,4,1,1
1,2,1,7,4,6,3,3,3,2,8,4,4,1,2,2,3,5,3,2,3,4,4,3,2,3,5,4,3,3,3,3,5,2,5,3,4,3,6,2,5,2,4,2,2,3,3,3,1,1,2,2,1,3,1,1,2,0,2,1,2,2,2,5,2,3,1,1,3,2,3,4,5,4,1,3,5,2,1,1,3,4,3,1,2,4,2,6,2,2,1,2,1,2,3,3,6,4,3,3,3,3,5,2,1,2,4,1,1,2,1,5,6,3,2,3,1,3,7,2,4,3,3,1,1,3,2,2,4,1,2,2,2,3,2,2,3,5,2,0,3,1,1,2,3,4,4,1,4,2,2,0,1,2,6,4,3,1,2,3,4,6,3,0,2,3,2,3,3,4,2,1,1,3,3,1,2,2,2,4,2,1,3,5,1,2,4,2,2,0,3,5,1,3,2,2,1,2,3,0,4,3,0,6,0,2,1,3,3,5,1,3,0,4,1,3,4,2,4,2,2,3,2,3,4,2,2,6,1,2,6,0,3,2,1,2,4,1,3,2,2,3,1,3,4,1,5,4,3,0,2,0,0,1,4,9
2,3,1,5,2,3,4,2,5,3,0,1,3,4,3,2,3,3,4,0,0,3,3,1,6,6,3,2,3,3,2,8,4,2,2,4,6,1,3,4,2,2,2,4,0,2,4,6,1,4,4,1,1,4,2,4,5,6,4,4,2,3,0,2,2,1,2,1,1,3,1,4,2,1,1,1,7,1,3,4,1,1,1,3,1,3,1,2,2,6,4,4,4,3,3,3,6,5,1,3,4,7,2,4,3,3,2,3,2,1,1,2,2,8,3,3,3,2,5,4,1,3,1,4,1,1,1,4,6,6,2,3,6,3,0,4,4,3,2,3,1,5,4,5,3,3,2,2,2,4,1,3,1,0,2,2,2,3,5,3,1,4,3,1,7,6,4,8,5,5,3,3,4,3,2,4,1,3,7,2,2,2,1,1,5,0,6,1,3,3,2,1,2,3,4,5,2,1,2,1,2,5,2,3,1,1,2,2,2,5,0,1,3,3,4,1,6,3,6,2,3,3,1,3,2,8,4,3,3,2,3,4,3,0,3,2,3,3,1,2,6,3,3,3,1,5,8,2,4,3,3,0,4,6,1,3
2,4,0,0,1,3,4,4,4,0,2,2,1,2,4,3,1,5,1,3,3,3,4,6,2,5,7,4,4,0,2,4,3,1,2,5,6,4,5,4,2,5,0,3,2,2,2,1,3,2,4,1,2,2,2,1,4,2,4,2,2,6,4,4,0,2,5,2,2,2,4,1,7,4,1,1,6,8,4,1,1,2,0,4,4,3,1,6,3,3,4,2,3,2,7,4,2,1,3,2,4,5,0,4,3,5,2,2,1,2,2,3,4,1,4,0,3,3,4,3,5,3,5,2,5,1,3,3,4,2,2,3,3,2,1,4,4,2,1,2,1,5,0,1,1,2,2,3,3,0,1,4,4,3,2,3,4,2,2,4,7,0,1,2,3,1,1,2,2,2,2,4,2,1,1,2,3,6,3,2,3,5,2,2,3,3,3,4,7,1,1,1,6,3,5,3,4,2,1,2,3,6,3,2,3,1,3,3,6,2,9,4,1,4,2,3,2,2,1,1,3,5,2,4,2,1,1,2,5,2,2,0,2,2,2,0,5,1,1,5,3,1,5,2,5,3,2,3,1,3,6,1,4,0,3,3
2,1,2,1,2,3,3,1,4,4,3,5,1,1,3,4,2,4,2,1,3,0,0,0,2,1,3,3,0,6,1,2,1,3,2,1,2,6,5,1,1,3,2,3,3,3,3,0,3,3,2,1,2,3,2,3,1,3,3,5,3,5,0,2,4,2,5,5,3,5,4,4,2,0,1,2,3,0,6,2,1,1,6,2,5,2,2,2,0,3,3,1,1,3,1,3,0,4,2,2,2,5,5,8,2,2,3,3,5,3,1,2,4,0,3,3,4,1,2,2,1,1,4,2,3,2,1,2,2,2,1,4,2,3,2,3,6,1,7,3,0,6,1,2,2,2,3,4,3,3,3,3,0,5,1,2,4,3,2,8,3,4,3,6,6,4,3,2,5,1,1,1,3,4,1,9,4,6,1,3,1,4,1,1,2,3,3,3,1,2,2,0,2,3,3,3,4,1,2,1,3,6,2,1,2,0,0,2,4,3,2,0,4,3,10,2,3,2,1,6,1,4,5,2,4,1,2,1,2,4,1,3,5,3,2,3,1,2,0,3,4,3,1,2,1,1,1,1,0,3,1,2,4,4,3,5
2,2,1,3,3,1,3,0,0,2,1,4,3,2,2,2,3,0,5,4,2,1,1,6,5,0,4,4,4,5,5,3,5,2,4,1,2,4,3,4,6,3,3,2,2,1,4,6,3,5,1,3,4,2,3,4,2,3,3,2,4,4,0,1,2,2,1,3,3,3,3,3,4,3,4,4,3,1,0,2,2,4,3,5,4,5,3,5,6,1,3,0,4,2,3,6,0,4,4,4,3,2,2,1,2,5,1,2,2,6,1,1,3,4,4,5,2,0,3,2,0,4,0,3,4,2,1,1,2,5,4,6,1,4,3,1,4,3,0,1,3,4,6,2,1,0,6,3,3,1,1,2,1,4,0,3,3,4,4,1,1,4,3,4,2,4,2,2,3,1,1,3,0,3,1,2,3,0,4,4,2,2,1,1,1,4,6,6,2,1,1,4,1,3,2,6,3,1,3,6,5,3,4,5,3,3,1,0,1,3,6,2,4,3,4,1,5,1,3,2,3,2,6,4,3,5,2,5,0,4,5,2,2,4,2,9,6,3,3,6,2,4,1,3,1,4,5,7,2,3,2,2,4,2,9,3
3,3,0,7,2,4,4,2,3,1,3,4,3,1,2,1,1,3,5,4,4,3,1,3,1,2,3,3,1,3,3,1,3,1,1,4,1,2,2,0,5,2,2,1,6,3,4,6,0,3,2,4,1,4,3,1,3,3,3,1,3,2,1,2,2,2,1,3,4,1,0,1,2,3,3,4,1,1,0,2,2,2,4,1,2,2,6,6,2,3,4,3,8,3,4,1,3,6,4,4,3,6,3,3,1,5,1,3,3,2,6,1,3,4,2,4,5,2,5,2,2,0,3,2,5,2,3,1,2,2,0,5,2,3,3,1,3,4,2,4,8,3,4,3,6,3,5,3,3,2,3,6,2,1,3,1,2,2,4,1,2,4,2,6,1,1,1,6,3,5,5,1,2,1,0,4,2,0,0,5,2,4,5,5,2,2,2,3,0,0,5,4,7,1,3,4,2,4,1,2,2,3,1,1,2,4,1,3,5,4,2,0,3,5,3,3,3,5,4,2,6,2,2,3,4,1,4,4,2,4,2,3,5,2,4,3,1,5,3,2,3,3,2,2,3,3,2,2,6,6,3,2,1,0,2,4
3,2,4,2,1,2,2,2,3,2,2,3,7,1,1,4,2,4,3,4,5,2,4,4,0,3,5,3,1,4,5,3,4,6,8,6,1,7,1,2,2,5,5,5,4,2,3,6,4,2,3,4,5,5,1,1,3,8,4,1,1,2,4,4,0,2,3,3,1,2,5,2,2,5,2,3,1,3,1,4,3,3,3,3,1,4,2,2,2,5,6,5,4,1,7,3,4,2,3,5,1,2,7,7,5,3,3,5,0,4,4,6,2,0,1,3,1,2,1,1,2,2,2,4,8,3,6,1,2,4,4,1,3,0,1,2,0,0,6,2,7,2,7,2,3,2,1,2,2,5,4,3,3,0,2,0,2,2,3,4,6,4,1,0,2,2,5,4,2,2,7,7,3,3,2,1,2,2,0,4,1,5,4,2,7,2,5,4,3,1,0,1,4,1,6,4,6,5,3,3,3,4,2,3,1,3,3,2,4,1,2,0,3,2,2,6,2,2,3,1,3,5,4,3,4,1,4,1,3,1,5,4,1,1,4,2,5,3,3,2,3,3,2,3,0,1,1,0,3,2,1,0,2,4,6,4
2,8,3,2,3,2,0,3,2,1,2,3,4,2,4,1,5,4,3,3,3,4,3,2,1,0,1,5,4,1,2,7,5,4,0,4,6,9,4,0,4,1,1,3,3,6,0,2,5,2,5,2,2,6,1,4,2,1,3,2,5,2,2,2,5,3,0,5,3,5,5,4,4,3,1,2,3,3,4,2,8,6,2,5,1,0,3,0,3,5,0,4,2,4,2,3,1,3,0,4,1,0,5,3,6,2,2,3,4,3,4,3,0,3,2,4,3,4,1,5,4,3,2,6,2,0,3,4,2,5,3,1,5,3,2,3,5,5,1,5,2,2,1,5,1,1,11,2,3,0,4,4,3,6,2,7,2,1,3,6,3,2,1,3,3,1,3,4,2,2,2,0,4,5,1,8,4,4,4,5,3,4,4,2,3,3,2,0,0,2,5,3,2,2,2,3,2,3,1,0,4,2,4,3,2,0,3,4,1,4,5,2,1,2,5,5,2,1,4,1,0,6,7,0,3,4,5,2,1,1,5,1,4,4,3,2,4,4,2,7,0,5,1,5,3,2,4,2,3,1,3,4,3,1,3,0
2,9,3,5,0,3,2,2,6,2,0,1,3,2,4,1,3,1,1,2,3,2,4,2,1,3,0,2,6,2,3,2,2,3,5,3,2,3,2,1,3,3,2,3,4,1,4,4,3,6,4,4,0,3,1,1,2,3,1,2,1,3,1,2,1,0,1,2,4,4,2,2,4,0,2,5,3,1,2,1,1,0,1,0,0,0,4,2,1,2,3,4,3,3,3,3,1,1,4,4,2,3,0,1,4,1,1,6,5,6,4,4,2,1,4,2,1,1,1,1,2,3,2,3,1,2,0,3,1,3,4,1,6,5,2,1,3,2,4,6,6,2,6,3,1,3,1,3,2,2,4,3,1,3,2,2,3,4,3,5,1,0,3,2,7,1,3,0,2,1,2,4,6,1,2,4,2,0,3,4,3,2,1,1,2,3,5,4,5,1,4,1,0,2,2,6,4,3,5,7,5,3,3,4,2,5,3,2,2,0,2,1,3,2,5,3,4,1,1,1,1,5,6,3,3,5,1,3,1,2,2,5,3,2,4,3,1,1,3,3,8,2,8,1,1,1,4,4,2,3,2,1,2,3,6,3
6,3,4,2,4,2,2,3,3,3,0,4,3,2,3,1,2,4,3,2,9,4,2,3,1,4,0,3,2,2,2,2,1,4,5,3,2,8,5,2,2,3,4,2,2,9,3,4,4,2,3,2,4,3,1,1,4,8,2,4,0,4,4,4,4,1,2,2,2,0,2,2,2,3,4,3,3,4,5,2,2,3,2,6,2,2,3,1,1,3,0,3,0,2,3,3,1,3,6,6,6,0,1,3,4,5,2,3,3,3,3,3,3,4,0,1,0,2,2,3,1,4,1,1,5,2,2,3,0,4,3,3,3,4,3,1,1,2,3,5,4,4,7,3,4,8,3,0,3,5,3,3,7,1,2,1,2,1,3,5,2,3,3,2,2,5,5,3,6,2,0,3,4,3,0,2,2,2,2,1,3,2,2,1,2,2,2,3,2,4,3,5,2,0,5,1,5,2,2,3,5,4,2,4,3,2,8,2,2,7,2,4,3,3,1,4,2,0,1,2,4,2,1,4,4,2,3,3,7,0,4,3,1,2,4,4,1,0,7,6,5,4,5,4,2,2,2,2,3,2,6,0,3,3,4,2
3,3,5,2,4,0,1,0,3,6,4,3,5,6,1,1,1,2,2,3,3,3,1,4,5,3,5,6,6,6,1,2,0,3,4,1,1,3,5,6,2,2,2,4,2,2,5,6,3,2,1,3,2,1,7,2,3,1,4,0,2,3,4,2,2,3,2,3,5,4,3,7,3,2,1,3,4,9,7,3,1,2,2,4,2,3,2,2,3,5,4,4,8,3,0,2,3,2,4,1,2,5,3,4,2,2,2,2,3,5,3,6,2,3,6,4,3,8,2,5,1,1,2,3,6,2,6,2,2,2,6,4,2,1,2,1,4,2,9,6,1,2,6,3,3,4,2,2,6,2,4,0,4,0,3,4,3,3,2,2,3,3,5,2,2,2,4,3,8,2,2,4,4,2,3,3,1,3,4,6,2,2,6,2,3,3,3,3,0,3,2,4,1,5,2,4,1,1,0,1,4,2,2,7,2,2,3,0,2,1,5,3,1,2,5,3,3,2,2,2,3,7,3,1,1,2,0,2,3,3,2,3,3,7,1,2,2,2,1,4,3,2,4,4,5,4,4,7,6,4,1,5,2,3,3,2
1,2,5,3,2,0,5,2,3,3,0,4,1,1,0,1,1,2,2,3,4,0,5,4,2,3,4,2,2,6,4,4,0,1,3,4,1,2,8,3,1,5,2,5,3,5,4,0,3,2,4,2,1,2,2,3,1,4,2,1,2,2,2,5,5,3,6,3,0,1,2,1,6,1,3,4,1,6,1,2,2,1,5,1,2,4,1,3,4,2,0,5,0,2,5,2,1,0,7,3,5,1,4,2,5,3,3,4,2,3,3,4,2,2,3,2,1,3,2,2,2,4,1,0,2,0,4,1,9,2,1,4,4,4,2,0,2,4,3,1,0,5,3,4,1,2,2,5,2,4,5,3,2,4,2,6,0,0,3,2,3,3,0,4,2,4,3,1,4,3,2,2,1,1,3,5,3,9,2,4,0,2,2,5,4,2,5,3,1,0,4,1,3,0,3,4,2,4,4,2,5,7,2,2,4,3,1,2,1,8,4,1,2,1,2,3,1,4,1,5,2,1,4,4,4,5,3,5,4,2,5,4,4,2,5,3,3,2,2,5,5,1,3,2,1,3,5,4,5,2,3,6,3,2,5,2
3,4,2,4,1,3,2,0,4,5,3,3,0,2,1,3,5,0,1,4,4,5,4,2,3,3,1,3,5,2,2,3,2,3,1,3,3,2,3,1,3,2,3,3,0,1,3,2,1,3,6,4,1,5,0,3,6,3,3,3,1,1,3,0,3,0,1,0,1,2,3,5,1,2,3,3,0,0,4,1,2,2,5,1,2,2,2,0,0,3,0,6,3,1,4,1,2,6,2,1,5,0,1,5,5,7,3,2,3,1,1,2,6,2,1,3,2,1,4,2,3,2,2,2,6,2,4,0,1,2,1,2,2,4,1,3,3,2,3,5,4,5,2,2,2,2,4,2,0,4,1,3,8,0,4,3,4,4,2,3,4,3,1,4,3,4,2,1,4,4,0,2,7,1,3,2,4,0,5,3,3,4,3,1,3,3,2,5,4,3,1,1,1,5,1,3,1,4,6,2,4,1,4,3,2,4,5,1,3,3,3,3,3,3,3,2,2,4,1,1,1,4,8,0,7,7,3,1,3,0,4,4,2,2,3,4,1,2,3,2,5,9,3,3,2,1,2,2,0,3,3,3,2,2,5,3
1,0,3,4,8,3,1,2,2,5,2,3,3,3,5,3,4,3,2,2,2,3,1,2,5,5,7,1,1,3,3,0,4,3,3,4,1,3,4,2,5,2,3,1,1,1,4,2,1,2,2,1,1,4,0,1,3,0,2,5,3,4,6,0,1,2,1,2,3,2,4,6,2,3,2,0,1,2,1,2,1,2,5,3,5,3,4,2,3,0,3,2,2,3,0,0,4,3,2,3,3,1,2,7,2,2,4,3,5,4,2,2,2,2,1,5,1,2,4,3,2,2,3,5,3,1,1,2,5,0,1,2,4,1,8,3,6,7,0,5,5,2,2,3,2,2,5,2,6,4,1,3,3,4,2,2,5,4,1,1,3,2,4,2,4,0,3,6,1,2,1,1,1,4,0,2,6,3,3,3,4,2,2,6,2,5,1,2,3,3,3,0,3,4,1,3,1,5,2,1,0,5,3,3,3,3,5,0,7,4,5,4,3,2,1,2,1,3,4,1,2,3,4,2,2,4,2,3,0,4,5,4,3,5,2,4,1,2,4,2,6,3,1,6,5,4,1,3,7,2,2,5,4,2,3,1
1 2 3 3 1 1 3 6 2 2 3 5 1 3 5 1 2 4 0 1 4 3 2 4 1 3 0 5 2 3 4 5 2 4 0 2 3 2 1 0 4 2 3 4 4 6 4 5 1 3 2 4 2 4 1 4 3 6 1 2 1 2 3 3 3 3 8 5 5 5 1 0 2 2 3 5 6 4 4 3 2 2 7 1 3 3 5 3 2 4 8 5 3 5 2 1 1 4 2 1 3 3 4 0 7 1 0 0 3 5 2 2 2 2 3 4 5 4 5 2 3 3 8 1 1 0 2 3 2 2 0 3 6 1 1 5 0 4 1 7 1 2 4 1 4 0 2 0 5 3 6 8 4 2 2 2 3 1 3 0 5 3 3 5 4 2 4 1 4 6 2 2 2 3 3 3 3 6 4 2 2 3 0 0 0 0 0 1 0 1 0 1 0 2 0 0 1 1 1 0 2 2 1 1 1 3 3 3 2 1 2 3 5 1 1 1 3 3 4 1 4 3 3 2 2 2 1 2 1 3 1 2 2 5 2 2 3 1 3 2 3 7 1 0 4 2 1 10 4 3 2 5 3 5 5 2 5
2 0 2 2 3 2 4 3 3 3 1 4 4 2 3 1 3 3 5 4 0 4 2 0 1 2 5 2 2 5 3 1 2 2 1 0 2 2 1 0 0 5 5 2 3 4 1 3 2 2 4 3 5 2 1 3 2 4 2 1 2 2 7 3 1 4 4 0 2 0 1 2 2 3 0 4 1 1 4 3 4 5 3 2 3 5 1 6 3 2 4 2 3 3 5 1 2 3 5 1 1 2 0 0 4 2 3 3 1 0 4 1 2 5 5 1 4 3 2 4 5 2 2 7 6 2 5 1 2 1 2 6 1 4 2 3 3 2 0 2 2 2 4 2 3 4 3 2 2 3 2 2 2 2 3 0 3 6 3 3 1 3 4 1 1 3 2 2 2 3 5 3 1 4 2 8 5 0 3 2 2 2 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 3 0 0 1 0 1 0 0 1 4 2 2 4 2 5 3 7 4 4 1 2 1 2 8 5 3 4 1 6 4 3 2 5 9 4 5 2 2 5 2 1 3 1 7 4 2 3 2 3 2 3 2 3 5 2 5 0 4 6 6
3 1 1 5 1 2 4 2 1 2 2 5 1 2 2 3 3 5 2 2 2 7 0 2 1 5 3 2 2 5 3 3 5 2 0 7 4 3 0 3 2 3 7 3 2 7 3 1 1 5 3 1 3 4 1 1 2 1 4 3 1 2 0 3 1 0 3 5 2 3 1 4 5 1 6 4 1 4 1 4 1 5 1 4 1 0 3 3 2 3 5 2 3 2 2 1 4 3 3 2 0 0 1 3 4 4 2 2 2 3 3 2 3 2 3 2 1 3 5 4 3 1 0 2 3 6 3 0 1 2 2 0 2 0 2 0 3 1 3 2 2 0 3 3 2 2 7 6 5 3 5 3 2 2 6 4 4 4 2 2 5 4 5 6 3 6 1 2 2 2 3 4 4 7 2 5 1 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 1 0 1 3 0 2 0 1 3 2 3 1 2 2 4 0 5 5 5 0 4 2 6 2 0 5 7 2 2 4 3 1 3 1 4 6 5 0 1 1 4 2 2 3 3 5 2 1 2 2 3 1 2 3 5 1 2 4 3
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2,1,1,1,2,1,4,2,0,1,2,3,4,2,1,0,3,0,2,1,1,0,1,1,1,2,0,2,4,5,0,0,2,0,1,1,3,1,0,2,0,0,0,1,0,2,2,3,1,1,0,2,1,3,2,1,0,2,4,2,1,0,2,2,3,1,1,1,4,2,4,3,0,0,2,3,2,3,0,2,3,3,1,1,1,4,1,0,0,3,0,2,1,1,0,0,4,0,1,0,5,1,4,5,0,4,0,1,2,0,0,3,3,1,0,7,0,1,1,2,2,1,0,0,3,2,2,1,2,3,2,2,0,5,5,2,0,1,1,3,0,0,0,3,2,1,3,1,1,3,1,3,1,0,1,0,2,2,1,2,1,2,2,1,4,2,0,4,2,2,2,0,1,2,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,2,2,2,1,0,2,2,1,1,4,1,1,1,2,0,5,1,0,1,2,3,1,0,1,4,1,2,5,2,2,3,0,1,2,0,2,1,1,2,0,2,3,2,2,1,2,3,1,1,0,0,3,3,2,1
3,1,2,3,1,5,3,0,0,5,2,1,3,1,0,2,1,4,0,0,2,1,1,0,4,3,3,3,1,1,0,0,2,2,1,4,2,3,2,3,1,2,3,2,0,0,0,2,2,1,2,2,2,1,0,3,2,2,2,1,1,2,1,2,3,2,2,1,0,2,1,0,1,0,2,3,2,0,1,1,2,0,1,0,0,0,1,0,3,1,1,2,2,2,2,0,1,1,2,3,3,1,4,5,0,2,3,2,1,2,0,0,1,2,1,0,1,0,0,2,2,2,0,1,3,2,2,2,1,1,1,0,0,2,4,4,1,1,3,2,1,2,1,1,2,1,0,0,5,4,1,0,0,2,1,0,2,2,0,1,0,5,1,3,2,8,1,1,1,1,1,0,1,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0,2,0,1,2,0,2,1,1,0,2,2,0,1,0,1,5,2,0,1,1,1,1,3,2,0,3,2,1,0,2,1,0,0,0,4,2,0,2,2,1,2,0,1,0,1,1,2,0,1,2,2,2,1,2,3
3,1,1,0,2,3,1,3,0,1,1,0,3,1,1,3,0,1,4,3,1,4,1,3,2,0,1,1,3,0,1,1,6,1,1,3,3,3,1,0,2,4,2,0,2,0,1,0,1,1,2,0,0,0,1,1,2,0,2,0,0,0,0,3,1,2,3,1,2,2,1,4,1,3,1,0,0,1,2,2,0,1,2,0,1,0,3,0,1,0,1,0,1,1,4,1,2,0,2,1,0,4,4,0,1,1,4,0,0,2,0,2,2,0,2,1,3,1,1,0,0,2,1,0,0,0,1,1,1,1,2,0,2,1,1,2,1,0,5,1,2,2,0,2,1,0,0,2,1,0,0,0,5,1,3,1,2,1,1,1,2,1,0,3,2,2,2,1,2,1,0,1,3,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,1,1,0,1,2,1,1,0,3,0,1,3,0,2,2,1,1,1,2,0,0,0,1,1,1,0,1,0,2,0,2,2,1,1,1,0,2,2,1,0,0,3,2,0,0,4,3,2,0,1,0,0,0,0,2,2,1,0
2,2,3,1,0,2,2,2,1,2,1,0,0,1,4,2,2,3,4,1,3,3,1,1,2,1,1,1,2,4,0,1,1,3,0,1,2,1,3,2,1,2,2,2,4,1,1,1,4,1,0,0,0,0,1,1,0,0,2,3,0,1,2,1,2,2,2,0,0,3,3,1,1,2,3,4,1,1,1,0,2,0,1,1,5,1,0,4,2,2,3,0,3,0,0,3,3,1,1,1,3,0,2,0,2,3,1,3,3,1,1,2,2,1,3,2,1,2,2,0,2,3,1,1,0,3,1,2,2,3,2,2,1,3,1,0,1,7,3,1,0,2,0,1,0,1,0,1,4,0,0,1,1,3,2,3,0,2,0,2,3,1,3,2,2,2,4,2,4,0,3,4,2,1,1,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,2,0,1,0,2,1,2,0,3,2,3,0,3,0,3,2,1,0,2,1,1,1,1,0,1,4,1,3,3,2,5,1,1,5,1,1,1,0,1,3,3,2,4,1,0,1,1,1,1,4,3,3,0,1,2,1,0,2,1,3,0
2,1,4,2,2,1,2,3,1,2,5,4,3,1,1,0,0,2,3,1,0,2,0,2,2,2,0,1,1,0,0,3,3,1,2,2,3,0,1,2,1,4,2,1,0,2,4,1,2,2,0,3,0,0,3,4,1,0,1,0,2,1,0,1,2,0,3,2,2,1,1,1,1,0,2,0,1,3,6,0,1,1,1,1,0,2,1,0,1,2,3,2,1,0,1,2,2,4,2,0,2,0,2,0,2,1,4,3,1,4,2,3,2,6,3,1,2,4,5,0,1,0,1,2,1,1,2,0,2,1,2,0,1,0,2,0,0,2,1,4,2,1,1,1,2,1,2,1,3,1,3,2,2,0,3,0,1,0,3,2,3,4,0,0,2,2,3,1,2,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,1,0,2,0,1,0,5,5,3,1,2,2,2,2,1,1,2,0,2,4,1,0,4,1,0,1,3,2,2,1,1,0,4,1,1,3,1,2,2,1,1,0,2,1,2,0,3,1,1,4
2,3,1,3,0,2,2,1,3,2,1,0,1,3,1,0,4,4,2,3,3,2,3,5,2,3,2,0,0,2,2,0,1,4,2,1,1,1,0,2,3,1,0,1,2,2,2,1,1,2,0,0,0,3,2,0,1,1,0,0,1,0,2,1,2,1,3,3,1,2,4,1,1,5,3,0,2,0,2,5,2,4,0,0,1,0,1,1,1,0,2,2,0,3,0,1,2,1,1,2,0,1,1,3,1,1,1,2,2,1,1,2,1,3,2,3,3,1,1,3,2,1,5,1,0,1,1,1,4,0,2,2,1,2,1,2,3,3,2,0,2,2,1,2,1,1,1,0,0,1,0,0,2,0,2,5,2,2,0,2,0,2,1,6,4,0,2,2,2,1,2,1,2,2,2,2,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,1,1,0,0,1,0,2,2,1,3,1,0,0,2,2,1,3,4,1,1,1,5,1,1,2,1,4,0,1,2,1,2,4,2,2,3,1,0,0,4,1,2,0,1,1,2,1,1,0,1,1,2,1,0,1,2,4
3,3,3,1,2,1,2,0,0,4,1,0,1,1,2,1,2,2,0,1,0,0,0,3,0,1,1,1,1,2,4,1,1,1,3,0,1,1,2,0,3,2,0,2,2,2,2,3,0,3,0,0,1,0,0,2,0,0,2,2,1,0,1,0,1,0,2,2,2,2,5,2,1,0,1,2,1,1,1,3,1,6,3,0,1,1,2,0,2,3,0,2,2,4,2,1,1,2,2,1,3,1,7,0,0,3,1,1,2,3,2,1,1,1,1,1,0,2,2,1,0,2,0,4,1,1,3,3,2,1,1,4,1,3,2,1,1,2,0,1,1,2,0,3,0,2,2,2,1,1,1,2,1,1,1,1,0,0,3,5,1,0,7,3,1,2,2,2,3,0,2,2,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,2,3,0,0,2,0,1,1,1,2,0,0,0,1,1,2,1,1,1,2,0,0,2,1,1,1,4,2,4,0,1,3,3,3,2,2,1,0,0,1,2,1,1,0,0,0,1,3,2,2,0,0,1,3,0,0,1,1,1
1,2,3,2,1,2,1,3,2,1,2,2,2,2,3,0,2,4,2,1,2,1,1,1,1,2,2,3,1,3,1,1,2,3,0,1,3,2,1,2,1,3,2,0,3,1,2,0,1,0,2,1,1,0,0,2,3,0,2,2,0,0,3,2,1,0,1,0,2,1,1,2,1,2,0,1,1,1,0,1,3,3,1,2,1,0,0,1,2,4,5,0,0,1,2,1,0,0,2,0,0,1,1,3,0,2,4,2,2,1,1,0,2,1,3,3,1,2,4,0,3,3,4,3,0,2,2,0,1,1,1,0,1,1,2,2,3,1,0,1,0,2,0,3,2,3,2,0,2,1,1,4,1,1,0,1,3,2,2,2,1,2,3,1,1,2,3,2,5,2,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,3,0,0,0,2,3,1,2,1,1,0,1,0,1,1,1,1,1,1,2,3,2,1,1,1,3,2,1,0,1,4,0,3,1,3,1,0,3,2,2,1,2,2,0,2,1,3,1,5,2,2,2,3,2,1
0,1,2,3,3,0,2,1,2,0,3,1,0,4,1,1,1,0,1,3,2,0,1,3,0,4,1,1,0,1,2,2,1,2,2,0,0,3,1,0,1,2,1,0,2,1,1,3,4,0,0,2,4,3,1,6,3,2,0,3,1,0,1,0,1,0,4,2,1,2,0,5,2,1,1,1,2,2,3,3,2,1,1,2,2,1,2,1,1,3,2,0,2,2,2,2,2,1,2,1,3,1,3,3,0,0,1,0,2,1,0,3,0,1,0,2,1,1,1,0,1,1,4,1,4,4,1,8,0,0,3,0,2,2,1,2,0,2,0,2,0,1,2,1,0,3,2,4,2,0,1,0,0,2,2,0,2,1,2,0,3,2,3,2,0,2,2,1,5,1,0,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,2,2,0,1,0,0,2,1,1,1,1,0,4,0,0,1,1,1,1,2,3,1,1,2,0,0,1,4,5,0,3,1,3,0,1,4,3,2,3,3,4,2,0,3,3,1,0,0,0,3,1,2,4,1,2,3
1,0,2,3,2,1,1,0,1,3,0,0,4,0,0,4,2,1,2,6,1,4,2,0,2,2,2,0,3,1,1,0,0,1,0,2,1,2,1,1,1,0,0,0,1,0,2,1,2,1,2,0,3,2,1,1,3,0,4,0,2,2,0,0,1,1,1,1,0,0,1,0,4,1,2,2,0,3,0,2,1,1,2,1,2,2,3,2,2,2,2,1,1,1,0,2,0,0,0,2,2,1,0,1,1,1,0,0,1,3,1,0,0,3,2,1,0,1,2,1,3,2,3,2,3,3,4,0,0,0,2,0,0,2,1,1,1,0,3,3,3,1,0,1,0,2,2,2,3,3,1,1,0,0,2,3,4,5,1,0,2,0,1,3,2,1,2,3,0,3,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,3,1,0,1,2,0,0,2,1,0,1,1,1,0,1,1,1,2,2,1,0,0,3,0,2,4,1,3,1,0,2,1,0,0,2,4,3,1,0,0,1,4,4,2,1,0,0,1,3,0,0,2,1,1,0,1,3,4,2,0
1,2,2,1,1,0,0,3,4,0,0,3,0,2,2,2,1,4,3,2,1,0,2,2,0,2,1,2,4,2,2,0,0,1,1,3,2,2,2,3,1,1,1,3,0,0,2,2,2,1,2,2,3,3,2,3,1,3,2,2,1,5,1,0,0,3,0,2,0,0,0,0,3,0,0,1,1,0,1,2,0,1,4,2,3,3,1,3,2,1,3,2,0,2,1,4,1,1,3,0,4,0,0,2,1,2,2,2,2,3,1,4,1,0,1,0,2,0,3,2,1,0,3,0,0,0,4,0,1,5,5,3,3,1,5,3,1,4,1,2,1,2,2,1,2,1,3,2,1,1,1,1,1,1,2,1,3,1,1,0,0,2,3,4,2,4,1,6,0,0,2,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,2,1,2,0,3,1,4,1,0,0,1,3,4,1,0,1,0,2,1,0,1,2,2,2,2,0,2,3,3,2,4,3,3,1,1,1,2,4,3,0,0,1,0,2,1,2,2,2,4,2,2,4,4
0,2,0,0,2,2,0,1,3,0,2,0,5,1,0,1,3,0,4,1,3,1,1,1,3,2,1,3,0,3,0,2,0,3,2,2,0,4,3,0,1,2,2,2,4,0,2,3,1,1,0,1,1,0,2,2,3,3,0,3,0,1,0,1,2,0,1,2,2,1,3,2,2,3,2,3,4,0,1,3,1,0,1,5,4,0,1,1,2,2,0,0,1,3,4,1,3,4,0,1,1,2,0,3,1,3,2,1,1,4,2,0,1,1,3,1,1,0,3,1,0,0,3,2,1,1,2,2,0,2,3,2,2,2,1,3,0,2,0,3,1,1,1,2,2,1,0,6,1,1,4,2,0,1,1,1,4,0,1,1,0,2,0,1,3,2,2,1,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,1,1,0,0,0,3,0,1,1,1,1,1,3,0,0,2,0,3,1,2,2,4,2,1,7,3,1,1,0,2,1,1,2,1,0,2,0,0,2,2,2,3,0,2,2,5,2,1,0,4,1,2,1,1,1,0,2,3
1,0,5,0,1,5,3,1,0,1,2,1,0,1,1,2,2,3,2,1,0,0,3,4,0,2,0,0,2,0,3,0,1,0,3,1,1,0,1,2,0,0,1,6,2,2,1,4,2,0,0,4,3,3,0,0,5,3,0,1,1,0,3,2,0,1,1,1,2,0,2,0,2,0,2,2,3,1,2,3,2,0,3,1,4,0,5,4,3,0,3,1,4,3,1,1,2,4,1,2,0,2,0,2,0,0,2,0,0,2,0,1,1,4,2,0,3,3,1,1,1,1,3,1,0,0,2,2,4,2,2,1,2,1,0,0,3,1,2,1,2,1,2,0,4,0,0,3,3,2,4,1,2,1,0,1,0,1,2,4,2,1,0,1,1,1,3,2,0,2,2,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,2,0,0,0,2,0,3,3,2,0,0,2,1,0,3,2,2,1,1,1,0,0,3,2,1,2,1,2,3,1,1,0,0,1,0,2,2,5,0,4,5,3,1,1,1,2,1,2,2,0,2,1,1
1,3,0,1,6,1,2,2,0,1,3,3,2,1,2,1,0,1,3,1,2,2,1,0,1,0,1,1,0,1,0,0,2,3,1,1,2,5,5,2,1,3,0,0,1,3,0,1,0,2,1,1,2,2,0,1,1,3,3,1,0,4,2,0,0,1,2,3,0,1,1,3,1,3,1,2,0,5,1,1,0,3,1,1,2,0,0,3,3,2,0,2,3,3,2,4,5,2,0,0,3,1,2,3,2,3,0,1,0,0,1,1,2,2,2,0,2,0,1,3,2,2,2,3,2,1,3,5,1,2,8,0,2,0,5,0,1,2,1,1,2,2,3,3,1,0,2,1,0,1,3,0,1,2,2,2,3,3,3,1,2,2,4,2,0,5,1,1,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,3,1,2,0,2,0,0,2,1,1,3,1,3,3,5,3,1,1,2,0,0,1,1,1,0,1,3,1,0,1,0,2,0,3,2,1,2,3,2,0,3,0,2,0,6,0
1,2,1,1,2,1,0,2,1,0,2,2,0,0,0,1,2,3,1,1,2,1,1,1,0,1,1,2,1,0,1,3,1,1,2,2,1,0,5,0,2,1,4,2,3,3,3,2,0,2,0,1,1,1,1,1,0,2,1,2,1,3,1,1,1,1,1,3,1,4,1,1,2,0,0,2,1,2,0,0,0,1,1,0,1,0,5,1,3,1,3,0,2,1,3,1,1,1,2,3,2,0,0,2,1,1,1,1,3,2,1,0,0,1,2,2,1,2,1,2,4,2,5,2,3,2,1,1,1,0,1,1,0,1,0,3,2,1,2,1,2,0,1,3,2,2,0,3,0,1,1,4,4,1,1,2,0,1,1,1,2,3,0,2,4,7,1,2,2,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,0,0,2,1,0,3,0,1,0,0,0,4,0,2,2,4,0,2,2,1,4,3,0,0,2,4,2,1,0,1,1,4,0,0,3,1,1,3,2,1,2,0,2,1,1,1,2,2,2
0,1,5,1,0,1,4,0,3,2,1,1,2,4,0,3,0,2,1,1,1,4,4,1,0,3,1,0,1,1,1,3,1,2,2,0,2,0,1,2,0,0,3,2,0,1,1,4,3,3,0,3,1,1,3,0,0,1,1,3,1,1,2,0,0,2,2,3,1,2,1,1,1,1,1,2,3,1,0,2,1,1,4,2,1,0,1,1,5,0,0,1,1,1,2,5,3,3,6,0,5,3,5,5,1,3,1,1,0,3,1,4,1,2,1,2,1,3,1,1,1,1,4,1,1,2,3,1,5,1,4,0,1,1,1,1,1,1,2,2,3,2,2,2,1,3,2,1,3,1,0,4,2,4,2,3,1,1,2,2,1,0,0,3,0,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,3,0,1,2,2,2,1,2,2,4,2,2,1,2,0,0,3,3,0,1,1,2,0,1,2,1,5,4,5,4,2,2,1,2,1,1,1,1,0,1,2,3,2,3,3
1,2,5,0,1,2,2,1,1,2,2,2,0,4,1,0,1,1,1,1,2,1,2,3,2,2,7,3,3,1,2,1,2,6,0,1,2,2,1,0,1,3,0,6,0,0,1,1,1,1,0,1,1,2,2,2,2,3,1,2,1,0,2,1,0,1,0,2,1,3,2,2,1,1,3,0,1,0,4,0,1,3,1,1,0,1,1,2,1,1,0,0,2,1,1,0,1,0,1,0,2,1,1,1,2,1,1,2,0,2,2,2,1,2,1,2,1,3,0,5,2,0,1,1,0,1,0,2,3,1,3,2,2,4,0,1,2,3,3,4,1,2,0,3,1,3,1,1,3,1,0,1,1,0,1,1,3,0,0,0,2,2,0,4,2,0,0,0,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,2,0,2,1,5,1,0,0,1,0,2,1,4,1,7,1,1,1,0,4,4,2,3,2,4,2,3,4,0,0,0,1,0,1,2,0,1,4,5,0,1,0,1,1,5,3,2,2,2,0
3,2,0,3,0,0,1,0,0,0,0,0,3,1,2,2,1,1,1,2,2,1,1,3,0,0,1,1,2,2,3,3,0,0,0,1,1,2,1,1,0,1,1,2,1,1,1,4,1,2,2,1,3,3,6,2,1,0,1,1,4,4,2,1,2,0,3,1,0,0,3,2,1,5,1,2,2,1,1,2,0,0,3,0,1,2,2,1,0,2,1,3,0,4,1,1,0,3,3,3,1,0,2,0,0,2,1,1,1,1,4,3,2,2,2,2,1,2,1,2,3,1,2,3,0,0,3,2,2,2,2,0,3,1,1,2,1,1,1,5,1,2,3,1,3,0,1,1,0,3,2,1,3,3,0,1,1,1,1,0,3,2,0,6,0,3,2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,0,0,0,1,0,1,1,5,2,2,1,0,1,3,3,5,4,5,0,1,0,0,0,0,2,2,1,2,4,0,2,0,0,5,0,1,3,2,2,0,1,1,3,2,1,1,2
0,2,4,0,0,1,3,1,0,1,0,0,1,4,2,0,1,4,1,1,2,2,3,1,0,4,2,2,1,5,0,2,1,1,3,1,2,2,1,2,1,2,2,1,1,1,0,0,0,1,2,0,0,2,1,5,1,3,1,0,1,4,2,0,1,2,0,1,1,4,1,1,1,0,1,0,0,0,2,4,1,1,0,0,0,1,1,1,1,4,1,1,0,0,3,0,1,0,2,3,0,1,1,4,2,1,0,1,3,1,0,3,0,1,4,2,3,2,0,5,1,3,2,3,0,0,1,2,0,0,2,1,2,1,1,1,9,1,1,1,1,2,1,3,3,5,0,1,1,1,2,7,2,1,2,2,4,3,2,4,1,0,2,0,2,1,2,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,2,0,1,0,2,2,0,0,0,3,0,1,1,2,0,0,1,0,2,1,2,1,3,3,3,1,2,2,1,0,0,2,2,1,2,0,2,1,4,3,2,2,2,1,2,3,0,0,0,0,1,0,1,1,1
2,1,0,3,3,1,1,4,2,0,2,3,1,1,3,2,4,2,0,2,2,2,1,2,2,1,0,2,2,1,0,2,1,3,0,2,0,0,0,2,2,2,1,0,1,0,2,5,2,2,1,3,1,4,1,1,0,3,2,0,2,4,1,0,2,1,0,2,3,2,0,2,0,0,2,2,4,1,0,1,0,2,2,2,3,2,3,0,1,0,1,2,1,0,3,4,0,1,0,1,0,0,2,0,3,2,2,1,0,0,0,0,2,1,2,0,1,2,3,1,3,2,0,3,0,2,2,0,4,0,1,3,3,1,2,1,1,1,3,0,1,3,2,2,2,3,2,3,1,2,1,2,1,3,1,2,1,1,6,1,1,1,3,3,3,0,2,4,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,0,0,0,2,2,2,2,3,3,1,2,4,3,0,2,4,3,3,3,2,2,2,4,2,1,3,0,1,2,2,0,2,1,0,2,3,2,1,2,2,1,2,1,2,3
0,0,3,2,2,1,1,3,3,1,1,0,0,2,1,0,1,2,2,1,0,2,0,2,1,0,2,2,1,4,1,2,1,1,2,0,1,0,1,1,0,0,4,1,1,0,1,0,3,3,0,0,1,1,2,2,2,1,5,1,0,2,2,1,1,2,1,1,1,1,2,1,2,3,6,4,2,4,3,1,2,4,1,4,0,0,1,2,3,3,1,1,1,0,0,4,2,2,2,2,1,1,1,1,0,2,0,1,0,0,2,3,0,0,1,3,1,1,1,3,0,1,1,2,2,0,1,0,2,0,2,3,1,1,2,2,2,2,1,3,2,2,0,2,2,2,2,1,2,4,1,2,1,4,2,4,1,1,1,0,2,5,2,2,2,3,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,2,0,0,1,1,0,1,3,2,1,2,1,1,2,0,3,3,0,1,1,2,3,2,2,0,2,2,1,2,1,4,1,0,0,1,0,3,3,2,3,3,3,2,1,2,3,4,2
2,1,1,1,0,2,2,1,0,2,5,2,2,1,1,5,1,4,1,2,2,2,1,1,4,3,3,2,1,0,2,0,0,2,0,2,0,0,2,2,2,5,1,2,1,1,1,3,3,4,1,0,2,2,1,4,0,1,4,1,1,3,2,2,0,1,0,2,0,2,1,1,2,0,0,0,0,2,0,1,1,1,2,1,3,1,0,0,1,1,0,0,3,0,0,1,4,0,1,3,3,1,0,0,1,1,2,1,1,0,0,0,0,1,0,2,1,0,3,1,4,1,4,1,3,0,2,0,3,2,1,0,2,4,1,1,2,4,0,2,2,0,3,1,3,2,5,1,10,4,2,2,2,4,2,2,1,1,0,2,3,5,4,0,3,4,1,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,1,0,4,3,1,2,1,0,2,3,1,2,2,2,1,6,1,0,2,2,1,5,0,2,2,1,3,1,0,2,3,0,3,0,4,1,3,4,1,4,0,1,0
3,1,2,1,1,0,1,2,1,0,1,0,3,2,0,1,2,0,2,1,2,2,3,1,0,2,2,1,1,3,0,2,2,0,2,0,1,1,1,2,3,0,4,0,1,2,2,2,1,5,0,1,1,0,2,0,1,2,1,5,0,1,1,1,0,3,2,2,0,1,1,1,1,2,3,2,2,3,0,2,1,1,1,1,0,0,3,0,2,2,2,2,1,2,4,1,2,4,3,0,0,4,1,0,4,2,0,0,2,2,0,2,1,4,1,5,1,0,1,1,4,5,0,2,2,1,4,2,1,1,1,2,1,2,0,2,1,1,3,3,2,2,0,0,0,4,5,3,2,3,1,1,1,3,2,2,1,1,2,0,2,4,1,0,4,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,1,3,0,0,1,2,0,0,4,1,2,4,3,3,0,4,2,4,1,5,1,2,2,0,2,1,1,2,0,2,1,0,2,3,0,2,4,2,1,2,2,2,1,1,1,3
2,0,3,2,2,4,3,2,1,2,1,3,0,1,1,0,3,0,2,2,4,0,1,0,2,0,0,2,1,4,0,2,0,3,0,1,0,3,0,2,2,1,0,2,2,0,3,1,1,1,1,0,2,3,1,1,2,2,1,1,3,0,2,0,1,2,4,1,1,3,0,3,1,5,1,1,0,3,0,1,3,2,1,2,1,1,0,0,0,3,3,3,2,3,1,1,4,3,3,1,2,1,0,0,0,2,2,3,1,0,1,0,3,3,0,3,0,2,1,1,4,1,0,0,1,1,4,3,3,1,0,1,2,0,1,0,4,3,0,1,3,1,2,4,2,1,5,0,0,0,2,1,1,3,4,0,1,2,1,0,4,3,2,0,2,5,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,3,2,2,2,1,2,2,3,1,3,4,3,2,1,1,2,1,1,3,1,3,2,1,2,1,2,0,3,0,1,1,0,3,2,1,2,2,0,3,2,0,0,2,2,1
3,2,1,1,0,0,0,2,0,1,1,2,1,1,3,2,2,0,2,3,3,1,1,2,1,0,1,3,0,2,3,1,2,2,2,0,0,2,3,1,2,0,3,5,1,1,3,1,3,5,0,5,1,2,2,4,2,4,4,0,1,1,2,1,1,1,2,1,1,1,2,1,2,0,1,1,3,2,3,1,2,1,0,1,5,1,1,5,1,2,1,1,2,1,2,2,2,1,2,3,4,1,6,0,0,1,0,0,3,0,0,1,1,1,1,2,0,1,1,1,2,3,1,1,2,2,2,2,3,5,2,1,6,2,1,0,0,2,2,2,3,0,0,1,0,2,3,2,0,4,4,5,1,0,4,1,2,4,2,5,3,5,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,0,0,2,2,0,0,1,1,1,0,2,1,2,2,2,1,4,1,3,0,3,1,2,1,3,0,0,2,1,1,1,0,0,2,1,0,0,1,1,4,2,1,2,1,2,1,1
0,4,1,1,1,1,2,1,3,0,1,2,1,4,2,0,1,2,2,0,1,0,1,0,2,1,1,0,2,1,1,2,0,0,0,0,2,1,1,1,1,3,2,1,3,1,0,0,1,2,0,2,1,1,3,2,1,0,1,1,0,1,3,2,1,4,1,0,3,1,2,2,1,1,3,1,3,5,2,2,2,1,0,0,1,1,1,2,1,0,1,3,3,0,0,1,0,1,1,0,3,4,2,0,4,1,1,2,0,1,2,2,3,2,2,0,3,1,1,0,2,1,5,1,0,0,1,2,1,4,3,2,3,6,1,2,3,3,2,2,2,5,2,1,2,3,1,2,3,3,3,2,3,2,2,0,3,2,2,0,1,3,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,2,1,0,1,1,1,2,4,1,2,2,3,0,1,0,1,2,0,1,1,2,2,0,3,1,1,1,1,1,1,0,2,1,3,1,1,3,2,3,0,3,5,1
1,0,1,3,1,2,1,0,2,0,2,2,0,1,1,2,1,0,2,0,0,1,2,2,3,0,3,0,0,1,2,0,0,3,1,2,1,2,2,1,1,1,0,4,1,2,1,0,1,0,2,0,2,0,1,1,5,3,1,1,2,3,2,3,4,2,1,1,2,1,0,2,1,2,1,1,1,0,1,4,1,0,3,3,2,1,3,2,3,0,1,0,1,1,3,3,1,1,1,1,2,1,0,3,0,2,4,2,2,1,2,1,5,3,2,3,3,3,3,2,0,0,3,0,3,3,0,1,0,0,1,1,2,1,2,2,4,1,2,1,3,1,2,1,4,1,2,2,0,2,1,2,3,4,4,1,2,2,5,3,1,2,2,1,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,3,3,0,1,2,0,1,1,1,1,0,0,0,1,0,1,2,2,1,0,2,0,0,0,0,2,2,4,3,2,1,1,2,1,2,0,0,4,1,3,2,2,1,0
2,1,1,2,2,1,1,0,2,1,1,1,1,1,0,1,0,0,0,2,1,0,1,0,1,1,2,0,1,2,1,0,2,1,2,1,1,2,3,2,1,1,0,2,1,2,1,0,2,2,5,2,1,2,1,1,0,2,4,1,0,3,2,0,1,1,3,0,2,5,2,0,2,3,2,2,1,2,0,1,3,4,2,0,1,0,3,0,1,0,2,0,0,0,0,0,0,1,0,1,2,3,2,0,1,0,0,0,0,5,1,4,0,0,1,1,2,2,1,1,0,2,1,3,2,2,2,0,2,2,2,0,2,1,0,1,2,0,5,3,1,2,3,1,3,0,0,1,1,1,2,2,3,4,1,1,0,3,3,3,1,3,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,2,1,0,0,0,1,0,1,1,3,3,0,2,4,2,1,1,0,3,2,0,1,1,2,3,0,1,1,3,1,4,0,3,2,2,2,0,3,1,3,2,0,0,3,3,1,3,1
1,3,0,2,1,1,4,0,1,0,1,0,0,1,2,0,0,2,3,0,0,1,2,3,0,0,0,0,0,1,1,1,1,0,2,1,0,1,0,0,0,1,1,3,2,2,0,1,0,1,3,2,2,1,2,0,0,2,4,2,3,0,2,0,3,1,1,1,1,1,1,1,1,3,2,2,0,2,1,1,1,1,0,0,0,1,1,3,2,4,1,3,3,4,5,0,1,3,1,4,1,0,3,0,2,1,2,4,0,1,1,3,3,3,3,1,3,0,4,0,0,2,1,3,0,2,2,0,1,1,0,2,0,1,2,1,1,4,3,4,2,1,3,2,3,1,1,2,3,5,0,5,1,1,3,0,2,1,0,0,2,3,1,3,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,0,2,0,4,2,0,2,1,1,1,0,2,4,1,1,1,1,0,2,1,0,1,2,1,1,2,1,1,0,3,3,3,2,3,0,0,2,0,0,1,3,4,3,1,1,1
5,0,1,1,0,0,3,1,3,3,1,2,2,1,1,1,2,2,0,5,1,4,1,0,2,2,1,2,1,0,2,2,0,2,2,2,2,1,0,3,1,0,3,1,1,2,0,1,3,1,2,0,0,0,6,0,1,2,2,2,1,0,3,2,0,1,1,1,2,0,2,0,2,3,1,1,1,1,1,2,2,2,0,3,0,0,0,2,1,1,1,0,2,1,4,1,2,1,2,1,0,1,3,0,2,5,2,0,0,3,2,1,3,1,1,0,0,2,1,3,2,3,4,0,1,1,1,4,2,0,0,2,2,3,4,4,0,3,1,2,1,0,3,1,1,0,1,3,5,1,3,1,0,0,3,1,2,1,1,2,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,2,0,0,0,1,0,0,1,3,2,0,2,2,2,1,0,2,2,2,2,0,2,1,2,3,1,1,1,2,1,3,4,2,1,0,2,0,2,1,2,2,2,0,1
4,1,2,2,3,0,1,3,3,4,2,2,1,1,3,1,1,2,2,1,2,1,1,1,2,2,2,1,0,1,0,2,4,2,2,0,2,0,2,0,1,0,0,1,2,1,1,0,1,0,2,3,3,0,0,0,2,2,3,1,1,0,2,3,0,2,1,3,1,2,0,1,1,3,2,4,0,1,0,2,0,0,5,2,0,0,2,0,1,0,1,2,0,0,2,3,1,1,1,2,4,1,0,0,2,2,3,1,1,1,1,2,3,4,1,0,0,1,0,5,2,1,1,2,0,2,4,2,1,0,0,2,2,0,1,6,2,4,1,3,3,2,3,1,3,1,0,1,2,1,1,3,0,3,1,6,2,0,3,1,1,1,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,2,1,3,0,0,2,0,2,0,0,2,3,3,0,2,1,2,1,1,1,4,2,2,3,4,3,0,0,1,1,0,0,2,1,4,0,0,2,0,1,0,1,0,0,1
1,2,1,1,4,3,2,1,0,3,2,2,2,1,0,3,3,3,4,1,7,0,1,3,1,1,3,4,2,1,2,2,1,2,0,3,2,0,1,3,0,0,1,0,1,2,2,0,2,3,0,0,2,1,1,1,1,1,3,1,0,2,3,0,2,2,0,0,0,0,2,4,2,2,1,2,0,1,3,4,0,0,2,2,1,2,1,2,2,0,1,0,4,2,2,0,2,1,1,1,0,0,1,3,1,2,3,1,0,2,2,2,2,0,2,2,3,4,1,2,1,2,0,4,1,0,2,4,3,2,2,2,3,0,2,3,5,3,1,1,1,1,3,3,1,1,2,0,0,2,0,2,2,0,0,1,1,1,3,1,2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,1,0,1,0,3,2,0,2,0,0,0,2,1,0,2,2,1,3,4,0,2,4,0,3,1,4,2,1,2,1,3,1,1,2,0,1,1,3,0,4,2,1,1,1
3,2,3,1,0,0,1,1,0,0,0,0,2,3,1,0,1,0,1,1,2,4,0,3,0,3,1,1,1,2,1,4,2,2,2,1,1,4,0,2,2,0,2,2,4,2,1,2,1,4,0,2,6,0,3,1,0,1,4,1,1,2,1,2,1,4,2,2,3,2,0,1,1,3,3,2,3,0,1,0,2,3,3,1,1,1,4,1,1,0,4,0,2,3,5,2,1,3,1,0,0,1,1,2,1,1,2,1,2,1,0,0,3,0,1,2,1,0,1,3,2,1,3,3,3,1,0,0,1,0,4,1,1,1,1,0,2,0,4,2,1,1,2,3,2,2,4,3,1,4,2,5,0,0,3,2,0,2,3,2,1,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,2,0,3,2,0,0,1,3,1,0,0,0,0,1,3,0,1,3,1,1,1,2,0,2,3,0,3,0,2,2,0,1,0,2,0,1,0,0
0,0,0,4,0,3,0,1,2,2,2,2,2,4,1,0,2,2,1,0,1,1,2,3,3,2,2,1,2,6,1,1,0,1,1,1,1,2,0,4,0,1,0,3,3,3,2,0,0,0,4,2,0,3,0,2,2,1,3,0,0,3,3,1,2,1,3,1,0,3,0,0,2,0,2,3,1,1,0,0,1,0,2,0,0,3,0,1,0,1,3,0,3,0,0,0,3,5,1,6,2,7,0,4,2,5,2,2,2,2,3,3,2,2,1,2,0,0,1,3,2,3,0,0,2,3,3,1,1,0,0,3,1,2,1,1,0,3,1,4,2,1,1,2,2,2,1,1,2,2,2,3,1,4,1,3,4,1,3,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,3,0,1,3,0,1,0,1,3,0,1,1,2,4,1,1,1,2,2,0,1,0,1,3,1,3,2,1,2,3,2,1,1,1,1,2,3,4,2
1,3,2,1,1,0,2,3,1,1,3,3,0,2,1,2,0,3,3,3,1,1,0,0,0,1,0,0,4,0,2,1,2,1,0,3,2,1,1,1,1,0,1,3,2,0,2,0,2,3,1,0,3,3,1,1,1,1,1,0,3,1,4,3,2,2,2,1,3,2,0,3,0,0,1,0,0,3,0,1,2,1,0,1,1,0,0,0,4,1,1,1,1,3,1,0,4,1,0,2,2,1,2,0,3,1,0,1,2,1,1,2,2,0,2,1,3,0,0,2,2,1,1,5,1,0,1,0,0,0,2,1,1,3,0,0,3,5,2,3,3,0,0,2,0,2,3,3,0,3,2,0,1,0,2,1,1,0,1,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,0,1,1,2,3,0,1,1,0,0,1,0,1,1,3,2,3,3,2,1,1,0,1,1,0,0,1,1,2,0,4,2,4,1,0,2,0,1,1,2
1,2,2,1,2,0,0,3,2,2,2,0,2,0,0,0,1,2,1,4,1,1,2,0,0,0,3,0,1,2,4,0,1,1,1,1,1,2,2,0,0,0,0,2,1,0,1,0,0,0,1,2,6,1,0,4,9,1,0,0,1,1,0,1,3,2,3,4,1,3,2,1,2,1,4,1,0,1,3,1,1,2,0,1,1,2,1,2,1,2,0,4,2,0,3,2,3,3,4,7,0,1,1,0,1,6,4,2,3,1,1,0,5,3,2,1,5,1,0,3,0,1,2,2,0,1,2,3,3,2,3,0,2,2,2,1,0,2,2,0,0,2,0,3,1,2,4,3,1,1,1,0,0,1,1,3,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,1,0,0,3,0,0,2,3,4,0,1,1,0,2,0,1,2,3,2,1,0,0,0,4,3,3,3,1,1,2,0,2,3,1,0,0,2,1,1,2,1,1
0,2,2,1,3,1,0,4,1,0,2,2,0,2,1,0,0,1,1,0,1,0,0,1,1,0,2,2,2,1,2,1,3,2,1,1,4,0,2,1,1,3,0,1,0,1,4,1,0,1,2,1,5,0,0,2,1,2,1,1,3,2,0,2,0,1,0,2,0,0,2,0,3,2,3,1,2,3,0,3,3,1,0,0,1,3,0,0,0,2,2,2,1,2,1,1,2,4,2,0,1,1,1,5,2,0,1,0,1,2,2,1,0,2,0,1,4,0,0,3,3,2,4,3,2,0,5,2,3,4,1,3,0,1,3,1,0,3,0,1,0,1,2,1,4,3,2,1,4,2,5,0,2,1,0,4,3,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,1,1,0,0,0,1,2,0,2,3,4,0,1,0,0,1,0,2,1,3,1,0,1,5,2,4,0,1,3,1,1,1,0,1,2,2,1,0,1,1,3,2,0,2,1
2,1,2,1,1,0,1,3,3,1,3,2,0,3,2,1,1,0,2,0,0,6,0,1,2,2,0,2,1,1,2,1,1,1,2,3,1,1,3,0,1,0,2,1,2,1,2,1,2,1,2,3,2,0,2,2,1,1,1,0,0,3,2,1,0,1,1,2,3,0,2,0,2,3,0,3,3,0,2,1,1,1,0,1,0,0,2,1,1,1,0,3,3,4,1,2,3,3,2,4,0,3,1,0,1,1,0,1,2,1,1,2,1,2,0,1,0,1,1,2,1,3,1,1,3,2,3,2,5,1,3,2,1,1,1,0,1,1,0,0,0,1,0,1,0,5,1,0,3,0,3,3,2,1,1,0,0,1,3,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,2,1,1,1,2,4,0,2,2,1,1,1,2,2,0,3,1,5,2,0,0,1,2,1,4,4,1,2,3,0,1,0,4,1,2,3,0,3,3,1
0,2,4,1,2,3,1,2,2,2,0,1,1,1,1,0,1,0,0,1,3,0,1,2,1,2,4,0,0,2,2,1,4,2,2,1,0,4,3,0,1,2,2,1,1,3,2,2,1,3,2,2,2,0,0,2,1,2,1,2,1,0,1,3,2,1,4,2,3,2,1,1,2,0,1,3,2,1,1,5,1,1,1,1,4,2,2,2,0,1,3,2,1,1,0,2,1,3,2,2,3,2,1,1,3,1,1,0,3,1,0,1,5,3,2,4,1,3,1,1,2,3,5,0,4,1,0,3,2,4,3,3,0,6,3,0,2,3,0,1,2,2,0,1,3,1,1,0,0,3,0,3,1,3,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1,2,1,1,0,2,1,0,3,1,2,1,3,0,5,0,2,5,3,2,3,3,2,0,2,1,1,1,0,3,1,4,1,0
2,1,0,1,1,2,0,0,3,0,2,2,2,1,0,1,0,1,0,2,1,1,1,1,0,2,1,2,0,3,1,1,2,0,2,1,1,1,1,0,1,0,1,2,2,2,1,1,2,0,4,0,5,2,3,3,1,2,2,0,0,0,0,4,3,1,0,1,2,0,1,0,2,0,1,1,1,0,0,3,0,1,0,2,1,1,1,1,0,0,0,6,0,3,3,1,0,0,3,4,1,0,4,5,1,0,0,2,0,0,1,1,0,3,1,2,3,1,1,4,1,2,2,3,0,0,0,3,0,3,0,2,0,2,1,1,2,0,0,3,0,1,2,0,0,2,2,2,2,1,2,2,1,1,3,0,2,1,1,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,1,1,0,1,1,1,2,1,1,1,1,1,1,0,1,1,2,1,2,3,1,1,1,2,0,1,2,1,1,1,0,2,2,0,1,0,3
2,1,4,2,0,2,0,1,0,0,2,1,1,2,1,1,1,0,1,0,1,0,1,0,0,0,2,1,0,2,2,0,0,1,2,1,0,3,0,1,0,1,0,1,2,1,0,1,3,1,2,2,1,3,3,1,2,2,2,1,3,5,1,3,3,1,1,1,2,1,0,0,3,2,3,0,2,3,0,1,1,1,0,0,2,1,0,1,0,3,3,1,1,3,0,3,3,2,2,3,2,0,1,3,3,1,2,1,1,0,1,2,1,0,1,1,1,1,2,3,3,3,2,2,3,2,2,0,1,4,1,1,0,1,3,1,3,1,2,4,1,2,0,0,0,0,0,3,0,1,1,2,0,2,1,1,1,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,0,1,0,2,3,2,2,1,2,0,2,2,2,0,1,1,0,3,0,0,0,1,1,4,2,2,0,2,1,3,0,0,0,0
0,1,0,3,0,1,1,1,2,0,1,0,0,0,3,3,1,2,2,3,0,2,0,3,2,1,0,4,1,2,3,2,1,1,0,0,0,0,0,1,0,1,1,1,6,2,2,1,4,2,4,2,0,2,3,1,2,1,1,0,0,3,0,0,2,0,2,1,1,1,2,1,1,3,2,1,2,2,3,0,0,1,2,0,0,3,4,2,4,0,3,3,4,3,1,1,3,0,2,2,2,1,0,2,3,1,0,3,0,4,2,1,0,0,0,1,1,1,1,3,2,1,2,2,1,2,3,2,1,1,2,3,0,1,1,0,4,0,1,2,0,4,1,2,2,2,0,0,2,0,1,1,3,0,0,2,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,0,1,1,0,3,1,1,1,1,1,0,3,1,1,1,3,4,2,3,1,4,4,2,2,4,0,0,1,0,2,0,1,0,2,1,4,1,1
2,0,2,2,1,1,4,5,1,3,1,2,1,1,0,1,0,0,2,1,3,3,0,3,3,2,2,7,0,2,0,2,0,1,1,3,1,2,0,0,1,4,1,1,1,1,3,1,3,0,0,1,0,2,4,1,1,0,0,0,1,0,2,1,0,0,3,2,1,1,1,1,0,0,1,2,1,1,1,2,0,0,1,1,2,2,1,1,1,4,3,6,3,5,2,0,0,1,0,2,1,2,0,4,1,0,2,1,3,0,1,1,1,0,3,1,1,1,0,1,2,2,1,3,3,0,3,2,1,1,1,0,0,0,5,4,0,3,0,1,3,1,2,0,0,2,2,0,3,0,4,2,1,0,0,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,3,0,1,0,1,2,1,0,2,2,1,0,0,0,1,1,3,3,1,1,2,4,0,1,2,0,2,0,0,4,1,1,1,0,3,3,0
1,1,1,1,0,2,4,4,3,1,0,1,3,5,1,1,0,1,2,4,2,2,2,3,2,0,3,2,1,1,1,0,3,3,2,1,3,3,2,4,4,3,0,1,0,1,4,4,1,2,0,0,1,0,0,1,1,1,1,2,2,0,1,2,0,1,1,2,0,0,0,1,2,0,3,1,3,1,2,2,2,2,2,2,2,0,1,2,1,2,1,1,1,4,2,2,1,2,4,3,5,1,0,3,1,1,0,1,1,2,1,2,0,5,3,2,0,1,1,2,1,1,2,1,1,2,0,2,0,3,1,0,2,1,0,1,0,3,4,1,2,1,4,0,2,1,2,3,1,3,2,4,1,3,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,3,0,0,0,1,0,1,2,4,2,1,1,2,0,1,3,2,1,0,0,0,0,3,1,2,3,1,1,2,2,2,1,0,1,0,1,2,4
1,3,0,1,4,1,2,1,2,2,0,1,1,1,3,2,0,3,4,3,2,4,1,1,1,3,3,0,1,2,1,1,0,1,1,1,2,3,0,1,2,2,2,3,1,2,4,0,0,1,3,4,0,1,1,2,0,2,3,1,1,1,0,2,2,1,1,1,1,3,2,0,0,1,1,4,1,6,0,3,0,0,1,2,0,2,2,1,1,3,0,0,0,1,3,0,2,2,3,0,2,1,3,0,2,2,3,2,2,2,0,1,0,2,1,1,1,4,2,3,1,1,0,3,1,0,1,1,0,1,0,0,2,2,2,0,3,3,3,2,1,2,0,0,2,2,1,1,3,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,2,0,1,1,1,1,0,0,0,0,2,1,1,0,1,0,4,1,1,1,0,0,0,2,3,3,2,1,1,3,0,0,5,1
4,1,1,0,1,1,2,1,1,2,1,0,2,2,1,0,1,2,2,1,0,0,1,1,2,3,1,0,1,3,0,0,2,2,1,3,2,2,1,0,3,4,0,0,0,1,0,1,1,0,1,1,2,1,4,1,0,0,1,0,2,0,3,0,2,3,1,2,1,2,1,0,1,0,3,2,0,0,5,4,0,0,1,1,0,1,1,1,2,1,0,2,0,1,4,1,4,0,3,7,2,2,1,1,1,2,3,0,0,4,1,0,0,0,3,1,0,0,0,1,0,3,1,0,0,0,0,2,2,1,5,2,0,2,1,2,3,3,1,1,0,0,1,2,1,0,1,3,2,3,1,0,3,1,2,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,1,1,0,2,0,2,3,0,0,1,0,0,1,0,1,1,3,0,1,1,2,1,0,0,2,1,1,0,1,2,1,7
1,2,0,0,2,1,2,0,2,1,2,1,0,1,0,1,1,2,0,2,2,6,2,1,1,1,4,2,2,0,1,3,1,0,2,0,0,3,1,3,2,0,5,1,1,1,2,1,0,6,2,0,3,0,2,2,3,1,2,1,1,2,2,0,2,1,2,2,1,0,2,1,0,0,2,3,0,3,4,3,3,2,1,2,1,0,1,1,6,0,3,0,0,1,1,3,0,2,1,1,2,0,1,0,2,2,6,2,3,2,2,4,2,0,0,4,2,1,0,1,2,2,2,3,0,3,0,1,3,1,1,2,3,2,1,2,0,1,5,1,0,1,2,1,1,1,1,3,3,3,1,1,2,2,2,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,1,1,1,0,3,2,1,1,0,1,0,3,1,0,1,0,1,1,1,2,1,2,1,1,1,2,0
2,1,1,0,1,0,1,2,1,0,2,1,1,0,1,3,0,1,1,1,0,1,0,0,1,4,0,0,0,1,2,3,1,2,0,5,0,3,2,1,2,1,0,0,0,3,1,0,4,0,1,2,1,1,1,0,0,4,0,0,0,1,0,2,1,1,2,0,5,2,0,0,2,4,3,2,1,2,3,0,1,0,0,2,2,1,1,1,1,0,2,0,3,0,2,3,0,3,1,1,2,3,2,2,3,1,3,0,3,0,5,1,1,2,0,1,2,2,0,1,1,0,3,2,2,2,0,2,1,1,0,2,3,3,2,1,2,1,3,0,2,3,0,1,1,2,0,2,0,3,1,1,0,3,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,3,0,0,2,1,0,0,0,2,0,0,1,0,3,1,0,2,1,2,3,1,1,2,2,1,1,0,0,4,0,1,2
0,1,3,1,2,0,1,0,3,2,4,1,3,1,2,2,2,1,0,1,1,3,0,1,1,2,3,3,1,3,1,0,0,1,0,0,0,3,2,1,2,1,3,0,2,3,1,2,2,1,2,1,1,2,1,0,2,2,2,1,2,0,1,3,2,0,5,5,2,2,2,0,1,2,0,1,1,1,1,0,3,4,0,2,1,1,1,1,0,1,3,1,0,1,1,0,0,3,2,2,1,1,1,4,3,1,4,1,1,5,5,1,1,1,0,1,1,4,1,2,3,2,0,1,1,5,3,2,3,4,7,0,1,3,0,2,3,1,2,2,1,0,1,1,1,2,2,3,2,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,1,1,0,3,0,1,0,1,0,0,1,1,0,1,3,0,2,3,0,1,2,0,2,0,2,1,0,2,1,1,4,2,0,0
1,1,3,2,4,0,2,1,1,2,2,1,1,1,1,2,4,3,3,2,2,0,1,4,1,0,4,1,1,2,4,0,1,1,0,2,1,4,5,1,1,0,4,0,3,2,1,0,0,1,0,0,1,2,1,3,1,3,1,0,0,0,3,1,1,3,2,0,1,1,3,2,2,0,5,1,2,1,0,6,3,0,3,2,3,2,3,0,1,0,1,0,0,1,4,2,5,0,2,0,1,1,0,3,3,2,1,0,0,2,3,6,2,4,0,2,5,3,0,2,2,2,1,5,1,1,1,0,0,2,1,0,3,2,2,0,2,0,1,1,5,1,0,0,0,1,0,2,2,2,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,2,1,0,2,1,0,0,0,1,2,2,0,0,1,2,1,2,1,4,1,0,3,4,2,0,0,0,4,0,2,1,1,3,4,2,2
1,1,1,0,1,0,0,2,1,0,2,1,2,0,5,0,2,3,3,4,0,0,1,2,0,1,3,3,0,2,0,2,3,1,1,1,2,0,0,1,2,2,0,2,3,1,0,1,3,2,0,1,0,2,0,3,4,1,4,3,0,3,0,2,3,2,2,0,5,0,2,2,0,3,0,1,3,3,4,0,2,1,0,0,2,2,0,0,1,2,1,3,2,2,2,2,0,0,0,1,6,1,1,2,1,0,0,2,1,2,3,3,0,2,2,2,2,2,3,2,3,2,1,3,1,1,1,0,1,1,0,0,3,3,2,2,1,1,3,1,1,4,3,0,2,1,0,2,4,1,0,0,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,3,1,3,0,1,3,1,2,2,2,0,3,1,0,0,0,2,1,1,0,1,1,2,0,0,2,1,2,1,2,1
2,1,1,0,1,1,3,0,5,0,2,1,1,1,1,2,0,3,2,0,0,2,1,2,0,3,0,3,0,4,0,0,3,1,3,2,1,2,1,1,2,2,0,2,2,0,1,3,0,1,4,0,2,1,2,1,2,2,1,2,2,3,3,0,1,1,3,1,1,0,1,2,2,2,2,1,2,1,1,0,1,1,3,1,2,3,3,2,2,0,2,1,0,2,2,2,0,4,2,1,1,0,1,2,2,1,2,1,1,1,2,2,1,0,3,3,4,1,3,2,1,4,1,2,1,4,1,0,1,0,1,2,0,2,2,1,5,3,1,1,2,1,2,4,2,1,3,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,1,0,1,0,0,2,3,2,2,0,0,0,1,4,5,0,5,1,2,2,2,0,3,0,3,1,3,2,3,3,2
2,3,1,1,1,0,2,0,3,2,4,2,1,1,1,0,2,3,1,1,2,0,1,0,1,1,0,1,1,1,1,1,1,1,1,2,1,0,2,0,0,8,3,2,2,4,2,1,0,1,0,0,1,0,5,2,1,1,2,1,1,2,1,3,4,2,2,2,2,2,3,1,1,0,4,1,0,0,0,0,1,2,4,1,2,1,0,2,2,1,1,2,1,2,3,1,1,4,4,3,2,3,1,1,2,1,0,1,2,1,3,1,2,1,3,2,2,3,1,0,0,1,1,4,4,4,4,2,4,1,2,2,3,0,1,3,0,4,1,2,3,2,1,1,2,1,1,1,0,0,0,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,1,0,2,2,1,2,2,3,1,3,0,1,0,0,3,0,2,2,3,0,3,1,1,0,3,1,0,2,3,0,1,1,1
2,1,1,1,1,1,1,1,0,2,1,1,1,1,1,0,1,4,1,4,1,3,1,1,0,0,1,1,3,1,0,1,1,1,3,1,2,3,1,1,2,5,2,0,1,2,1,1,1,0,1,0,1,2,1,0,1,1,1,1,2,2,2,2,0,1,3,0,1,2,3,1,0,1,3,4,2,4,1,2,0,1,2,2,3,2,3,0,3,0,1,3,1,1,2,0,2,1,2,1,6,1,1,1,0,3,0,3,3,2,0,0,0,1,4,2,0,3,0,3,1,4,1,2,3,0,1,0,2,2,4,2,2,2,0,1,5,1,2,3,2,2,2,3,1,1,2,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,4,3,0,0,1,1,2,1,0,3,2,0,1,4,1,2,2,1,2,0,1,2,0,3,2,0,2,5
3,2,1,5,4,2,2,5,0,1,0,2,2,1,1,0,1,1,2,1,1,1,2,1,0,1,4,0,1,1,1,2,1,5,1,1,2,5,2,1,0,2,3,0,1,3,1,1,1,0,1,1,2,3,2,0,1,5,2,0,1,4,1,3,1,1,5,0,2,0,0,2,1,4,4,2,1,2,2,4,2,1,1,1,7,1,1,0,2,2,1,1,0,3,1,2,1,3,1,2,3,4,3,1,1,3,1,1,1,1,2,2,1,1,1,1,2,2,1,1,0,2,0,1,4,1,2,1,3,1,2,1,3,1,2,2,1,3,2,2,3,2,2,5,1,3,1,0,3,1,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,2,0,1,1,2,3,3,2,0,1,0,2,4,1,1,1,2,3,1,3,0,0,1,5,2,0,1,0,0,0,1
1,1,1,3,2,1,2,1,3,1,0,2,0,0,0,0,2,1,0,2,1,1,0,1,3,3,1,1,1,1,0,1,1,0,2,0,1,2,0,1,1,2,3,0,2,2,3,1,4,4,1,1,1,3,0,0,0,0,1,1,1,2,4,0,4,2,1,2,1,4,1,2,1,2,0,2,0,1,2,2,3,2,2,2,2,1,1,2,0,4,2,2,1,4,2,0,2,1,3,3,0,0,0,5,1,4,2,3,1,0,2,0,1,1,1,1,1,3,1,3,3,2,0,2,3,2,1,1,2,0,0,1,3,0,0,2,2,3,2,0,0,1,2,1,2,1,0,0,0,4,0,0,3,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,3,1,0,2,0,2,0,5,2,0,2,0,2,0,4,0,2,2,0,3,0,1,2,2,2,1,2
3,1,3,0,2,1,3,3,2,3,1,0,0,0,0,0,1,1,1,2,0,1,1,3,1,2,0,5,2,0,0,2,2,3,2,0,1,2,1,2,1,1,1,0,4,1,2,2,0,0,0,1,0,2,0,1,0,1,0,1,2,0,3,2,0,2,2,1,1,1,1,2,2,0,2,1,1,4,2,1,2,0,2,0,2,0,1,3,2,2,1,1,1,3,3,2,1,1,3,1,2,3,1,5,0,0,3,2,0,2,2,2,1,0,1,2,0,1,4,2,1,0,1,3,1,2,0,3,1,1,4,0,1,0,1,0,1,1,2,1,1,2,5,0,3,2,6,1,2,1,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,2,0,2,1,4,0,1,1,1,2,3,1,0,3,2,1,1,2,3,1
3,1,1,0,2,2,1,2,2,1,2,0,0,1,0,0,1,1,2,1,1,1,4,0,4,0,1,5,2,2,0,3,2,0,1,2,4,1,3,3,2,1,4,0,2,1,0,1,1,1,2,0,0,0,0,1,1,3,1,1,1,2,0,1,1,2,0,1,0,1,1,0,3,2,1,2,0,4,0,1,1,3,0,0,1,3,1,1,2,3,1,1,1,3,2,3,1,0,1,5,5,0,2,2,0,1,4,3,0,5,1,0,0,4,0,0,1,1,2,1,2,2,1,2,1,2,3,1,1,2,0,2,1,1,2,0,4,6,1,2,2,0,0,4,4,2,0,1,1,1,2,3,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,5,2,1,0,1,2,4,1,0,0,2,1,2,0,0,0,1,4,1,3,2,2,4,1,2,5,0,2,1,1,3,2
0,1,2,2,1,2,0,3,2,1,1,1,1,2,1,1,1,2,2,2,3,0,1,1,2,1,2,0,0,0,1,1,0,3,4,0,1,2,1,4,0,1,0,3,2,2,1,2,0,1,0,1,0,1,3,2,4,0,2,0,1,0,2,4,2,3,2,4,2,2,1,3,2,2,2,2,0,2,0,1,2,1,1,4,2,3,1,3,1,0,3,1,4,3,0,3,2,1,1,0,5,2,3,3,0,1,2,3,1,0,1,4,1,3,1,3,2,2,2,3,3,3,0,3,1,1,0,2,2,0,3,1,3,1,0,0,4,1,1,2,2,2,0,2,2,3,2,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,2,2,0,0,1,3,1,1,0,2,0,2,1,1,1,0,1,2,0,0,0,1,1,1,0,3,5,0,0,0
2,3,1,0,0,0,0,0,3,0,3,3,1,3,2,1,2,2,3,1,5,4,1,0,0,4,3,1,1,6,1,4,2,1,1,3,2,1,0,2,4,2,0,2,4,2,2,1,0,0,2,1,1,2,1,0,1,0,0,2,1,1,2,2,1,1,2,1,6,3,1,2,1,1,3,2,3,4,4,2,1,0,3,2,5,1,1,2,1,2,2,3,0,1,2,2,1,2,0,1,3,2,1,0,2,1,1,1,2,1,0,1,1,1,4,1,3,3,0,2,0,0,4,0,1,2,4,1,2,2,1,2,0,1,2,3,3,0,2,1,2,4,2,2,2,0,3,1,0,1,3,3,0,0,1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,2,1,0,1,2,0,1,0,0,2,1,2,0,1,1,2,0,3,2,1,2,0,0,2,2
0,2,2,4,3,0,1,1,0,3,2,1,0,2,1,2,0,0,2,1,0,1,2,0,0,1,1,3,4,4,2,0,1,2,0,0,1,1,1,1,1,0,2,1,0,0,4,3,0,0,1,4,0,1,0,0,3,1,0,1,0,2,0,1,2,2,1,2,1,2,1,0,0,4,0,0,2,1,2,1,2,0,6,3,1,2,1,1,2,0,3,3,2,3,0,2,3,2,0,0,2,0,1,1,3,1,0,0,1,1,1,2,1,1,1,0,2,3,1,0,2,1,1,2,0,6,6,2,1,0,2,1,1,0,1,1,2,0,2,0,0,3,2,2,1,3,0,0,1,2,1,1,0,1,0,1,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,3,1,0,3,0,0,2,0,0,1,1,3,3,4,0,1,4,4,0,1,0,2,0,1,2,1,3,2,0,0
3,0,1,2,1,2,0,2,4,0,1,1,0,1,2,0,5,5,2,1,1,2,0,3,1,3,1,2,1,3,1,4,5,0,0,0,1,2,2,1,2,1,1,4,1,0,0,2,2,1,1,1,1,1,2,3,4,3,3,3,6,2,1,0,1,3,1,0,0,2,1,1,0,4,2,1,2,1,0,3,4,2,3,5,0,3,2,1,3,4,4,4,2,0,4,2,1,4,0,1,3,2,3,3,1,3,2,3,2,1,1,1,2,2,0,2,5,1,0,2,0,3,2,3,2,2,0,0,2,1,1,1,0,0,3,0,1,1,1,2,2,3,1,2,5,2,1,2,3,1,1,4,0,0,1,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,2,2,2,3,2,2,0,2,2,2,0,0,1,1,1,5,1,1,1,0,1,1,1,1
2,1,2,2,1,2,2,0,2,2,0,0,1,2,0,2,2,1,2,2,2,0,2,1,2,1,1,0,2,0,2,1,1,2,1,1,3,4,0,1,1,4,1,0,2,1,1,2,3,0,1,1,0,2,0,1,1,1,3,3,1,2,1,2,0,1,2,2,0,0,0,1,0,1,0,3,2,2,2,2,3,0,1,0,1,1,0,0,1,3,2,1,0,0,1,1,0,0,3,0,2,1,4,2,0,3,2,3,0,1,0,2,1,3,0,5,1,3,3,2,1,0,0,2,2,4,2,1,0,1,2,2,2,1,3,3,1,0,1,1,1,2,2,1,2,4,2,1,0,0,0,2,4,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,3,0,2,1,0,1,2,0,0,0,0,1,2,1,0,2,0,2,2,1,0,0,3
0,0,3,1,4,0,2,2,1,1,2,3,1,2,1,1,2,1,1,1,0,1,0,1,0,0,2,2,0,2,3,0,2,2,0,3,3,4,1,3,4,3,1,1,3,1,2,2,2,1,1,4,1,4,1,0,3,2,3,4,0,0,5,1,1,2,2,3,1,3,0,0,2,0,1,2,3,2,0,1,3,2,2,2,1,2,2,1,0,1,5,1,1,1,0,1,2,1,0,4,1,0,2,0,0,1,3,1,4,2,1,0,2,1,3,2,1,0,4,2,1,1,3,3,1,1,0,3,0,2,0,0,2,0,0,2,4,0,4,0,1,1,1,2,3,1,2,0,2,2,1,1,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,0,1,1,2,1,4,0,0,1,0,0,2,0,0,1,2,0,3,1
2,2,4,1,1,1,2,0,0,2,4,3,2,1,2,1,0,1,0,2,2,2,1,0,0,2,1,1,2,4,1,1,3,1,2,3,1,2,3,0,0,1,4,0,1,2,2,0,4,2,0,2,1,2,2,0,1,1,0,1,2,1,1,0,4,1,1,1,1,0,0,2,2,2,0,2,3,3,0,1,1,1,1,2,2,1,1,1,2,2,2,0,1,1,2,0,5,0,4,1,2,1,2,1,2,3,1,0,1,2,4,4,2,1,2,1,2,1,0,2,0,2,1,0,4,1,3,2,0,3,4,0,0,4,2,0,0,4,2,3,2,2,2,2,1,1,4,3,2,3,2,0,1,3,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,2,0,4,1,1,3,0,0,2,0,0,1,4,0,1,2,0,1,1,3,1,2,2,0,2
3,1,1,1,4,1,5,1,0,1,0,0,2,2,5,3,2,1,2,1,0,1,2,3,0,1,0,1,0,0,0,1,3,0,1,3,1,1,0,1,3,1,1,0,4,1,2,1,4,2,1,1,1,1,2,4,1,1,1,4,1,3,1,2,1,0,0,0,0,0,1,0,1,1,4,6,1,0,1,1,0,3,0,2,0,2,1,0,1,3,3,3,4,1,0,4,1,1,1,0,2,1,0,2,1,0,1,1,3,1,0,2,0,2,4,2,1,0,4,6,2,1,3,4,0,2,5,0,2,3,0,0,3,2,1,2,1,3,1,2,1,3,2,1,2,4,4,3,3,2,0,2,0,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,3,0,0,1,1,0,0,0,2,0,1,0,1,1,1,2,1,2,1,0,0,1,3,1,0,0,4,1,1,3,1,3,4,1,3
2,4,1,2,2,2,0,0,3,0,1,1,0,1,2,1,2,3,1,1,1,3,1,2,0,1,0,1,1,1,2,3,1,1,0,2,2,1,3,0,3,1,4,0,0,0,2,1,4,1,0,3,2,2,2,1,2,1,2,1,1,0,1,0,1,5,4,1,2,3,2,1,4,1,2,0,0,1,1,1,1,1,0,1,1,1,3,0,0,0,2,0,1,0,3,2,1,1,2,2,3,4,1,1,3,3,0,4,1,3,0,0,2,2,1,2,1,5,1,2,0,6,2,0,0,3,1,2,1,1,2,1,1,2,2,2,1,2,1,2,2,5,1,1,3,0,1,1,2,1,0,2,2,0,4,3,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,0,0,1,2,1,2,1,1,3,2,0,0,0,0,3,1,0,1,2,3,2,0,3,0,4,1
3,2,0,0,1,0,0,2,1,0,1,2,0,0,2,1,2,3,1,1,1,4,2,0,0,1,4,1,2,0,3,2,2,0,5,1,1,2,1,2,0,1,0,2,0,1,2,2,2,0,0,1,2,3,1,0,1,0,1,1,1,0,0,0,1,1,0,0,5,1,0,1,0,2,0,1,2,1,1,2,3,1,2,0,0,1,2,2,2,0,2,3,0,2,2,0,2,2,1,2,1,2,0,5,2,3,1,3,1,3,3,2,3,1,0,3,1,0,1,1,1,4,3,1,1,1,2,2,1,0,1,0,2,4,1,1,1,0,5,2,0,2,0,4,3,3,1,1,2,2,0,1,3,1,1,2,3,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,4,1,0,2,2,0,3,2,1,2,2,3,0,1,3,3,0,2,2,1,0,1,0,2,0,2
5,4,0,5,0,1,1,0,0,2,1,3,0,1,1,1,1,0,2,2,3,1,1,1,3,0,3,1,1,2,2,2,0,2,1,2,4,2,1,2,1,1,1,1,1,3,1,1,1,2,2,1,2,2,2,0,0,0,1,3,1,1,2,3,2,1,2,2,1,0,0,0,1,0,1,2,2,1,1,3,2,0,1,0,0,8,3,1,2,2,3,0,1,2,0,0,0,1,0,1,1,1,2,1,1,0,2,1,2,2,1,2,4,0,2,0,4,1,1,3,1,0,1,1,2,2,0,1,1,1,2,0,1,1,0,3,2,2,3,2,3,2,2,1,1,1,0,0,3,0,2,2,0,5,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,2,2,2,0,1,1,0,0,3,0,1,2,2,1,1,1,1,1,0,0,2,2
0,3,2,0,1,2,3,3,1,0,0,1,2,0,2,2,1,1,0,1,2,0,2,1,1,0,0,1,1,1,1,1,0,0,0,2,0,1,0,1,2,3,3,0,3,3,3,0,2,2,1,1,3,3,4,1,1,1,0,2,0,2,1,2,1,0,5,1,0,2,4,0,2,2,2,1,1,1,2,0,0,3,1,0,3,1,4,1,2,2,1,1,4,3,0,1,0,1,0,0,1,3,1,4,0,2,1,0,2,1,2,3,2,1,2,1,2,2,5,0,1,3,1,0,1,2,1,1,4,3,2,0,1,1,0,0,1,3,2,1,2,1,4,0,3,0,1,1,0,3,0,1,2,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,2,0,0,1,3,1,0,1,1,1,3,0,1,2,4,0,2,0,1,0,3,2,4,3,1
1,2,0,2,0,2,3,2,0,0,2,3,0,3,1,0,2,0,0,2,0,2,4,2,1,0,1,5,3,1,2,0,1,2,0,1,4,3,1,1,2,3,1,0,1,2,3,0,2,3,1,2,1,1,0,6,1,0,4,0,3,1,1,0,4,4,2,0,1,2,1,2,3,0,1,2,0,4,0,2,0,3,3,1,2,1,4,2,4,1,2,0,0,1,0,1,1,3,2,0,1,1,1,1,1,0,4,2,1,2,4,3,1,1,0,0,1,3,3,2,1,1,1,0,3,1,2,3,3,3,0,3,3,0,1,0,2,1,2,1,1,3,2,2,6,1,1,1,2,2,2,3,2,5,3,1,3,0,2,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,3,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,2,3,1,0,0,0,1,1,0,0,1,1,1,2,3,2,1,1,1
1,2,1,4,2,1,2,1,3,0,3,2,3,2,1,0,2,2,2,4,1,0,0,1,1,1,0,1,1,3,2,6,0,0,3,1,2,1,3,4,1,1,0,0,1,1,1,1,0,0,4,0,2,2,2,4,1,2,2,1,1,1,1,0,0,0,3,3,1,1,1,2,2,0,3,0,2,2,0,1,1,2,3,2,1,1,2,0,1,1,1,0,1,1,2,1,2,1,1,0,5,0,1,4,0,1,1,1,1,1,0,1,1,4,1,4,2,2,4,0,0,1,1,2,2,1,1,2,2,0,0,2,3,1,5,1,3,1,3,2,2,1,2,2,6,1,2,2,1,2,2,3,1,0,2,1,3,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,2,1,0,0,1,1,1,1,2,2,0,0,3,1,0,1,1,1
5,1,2,1,0,2,1,0,0,0,0,1,4,2,2,1,2,1,1,2,1,0,3,3,2,1,1,1,3,1,0,3,1,1,1,1,4,0,2,1,3,1,1,0,2,1,0,4,0,2,1,0,1,0,0,2,0,0,1,1,2,3,0,0,2,0,1,0,0,3,5,3,0,5,0,2,4,2,1,0,1,0,4,1,0,3,2,4,1,1,0,0,2,1,4,2,0,1,1,1,0,1,2,1,1,2,0,2,1,1,1,2,3,3,0,1,2,0,2,1,1,1,2,3,0,1,1,3,3,0,0,1,1,0,0,3,2,0,2,1,3,4,2,1,3,0,2,0,0,1,4,2,1,4,1,0,4,2,1,1,0,1,0,0,0,0,2,0,1,0,0,0,1,2,0,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,1,0,0,1,1,3,1,0,0,0,0,0,0,0,1,3,1,2
1,2,2,1,1,0,1,2,0,0,0,1,1,1,2,2,2,2,2,0,3,0,1,3,1,3,2,1,0,2,3,1,2,2,1,1,1,3,2,2,0,1,0,1,1,2,2,0,1,3,1,3,0,0,0,0,1,0,1,1,0,2,1,2,0,0,1,0,1,3,0,2,1,4,2,1,1,1,1,3,0,3,1,2,1,1,1,1,1,2,1,1,3,2,3,0,1,0,0,3,3,3,0,2,2,0,5,3,0,2,2,3,0,1,1,0,0,2,0,1,1,4,1,2,2,0,2,2,2,0,0,0,0,1,0,3,2,1,6,2,1,2,0,2,2,1,5,0,1,0,2,2,3,2,2,3,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,1,1,1,0,2,3,2,0,1,1,1,0,3,1,3,2,0,3,3,1,0,2,3,2
1,1,1,3,3,1,0,2,1,0,1,0,0,6,0,4,3,0,3,1,1,2,1,1,1,3,3,1,0,0,2,0,1,1,1,2,2,1,0,3,3,1,4,1,4,1,3,1,0,2,0,2,3,0,0,3,1,0,1,1,2,3,1,2,0,1,1,1,3,1,2,1,2,1,1,2,1,2,2,3,0,3,2,0,1,2,1,1,3,0,3,2,0,1,0,2,3,1,2,1,1,0,3,0,3,0,3,3,1,2,2,0,0,2,1,0,0,3,1,2,2,1,2,5,1,1,2,1,1,3,3,0,0,2,1,2,1,0,1,2,2,1,2,2,1,2,0,1,4,4,1,0,1,2,3,1,2,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,2,0,0,0,1,2,0,0,0,0,0,0,2,0,0,4,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,2,1,0,0,1,0,0,0,3,2,1,0,2,5,0,1,1,1,2
1,2,2,1,3,1,2,0,1,1,6,1,0,3,0,0,2,1,1,1,1,1,1,5,2,1,1,1,2,1,0,1,5,1,0,0,1,2,1,2,4,3,2,3,1,1,1,0,2,1,1,1,2,1,1,0,3,2,2,3,1,1,4,1,0,0,1,3,1,3,1,1,2,0,1,1,3,1,1,0,1,1,0,3,0,0,1,0,2,3,2,0,1,0,2,0,0,2,2,0,1,3,0,0,1,1,1,1,1,1,3,1,2,2,0,1,1,1,2,3,0,3,0,1,1,2,5,4,2,2,2,5,0,3,2,2,1,1,1,1,1,4,0,5,1,3,0,1,0,0,2,1,5,2,0,2,3,0,0,0,1,1,0,0,1,2,0,3,0,1,1,0,0,0,1,0,0,0,2,0,1,2,0,3,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,5,1,3,0,1,0,5,4,2,2,3,2,1,3,1,2,2,3
2,2,0,0,2,3,1,2,1,2,2,2,1,0,0,1,4,0,1,0,4,0,0,0,1,0,2,2,1,1,2,3,2,2,2,2,1,2,1,3,0,1,3,0,0,1,3,3,2,2,3,2,2,1,2,2,2,3,2,2,0,2,0,1,0,2,0,1,0,1,2,1,3,3,2,2,4,1,2,1,3,0,2,1,0,1,2,1,3,3,1,2,2,2,3,1,1,1,4,0,0,1,3,3,3,2,0,1,1,0,0,2,2,2,3,3,3,1,5,6,1,1,2,1,3,0,1,2,0,2,0,1,5,2,1,2,2,0,2,0,4,1,3,2,0,1,1,2,1,1,1,1,6,1,1,2,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,2,0,2,1,0,2,0,0,0,1,2,0,1,1,2,0,0,0,0,1,0,0,2,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,3,2,1,2,1,0,1,2,0,2,2,0,0,5,2,2,4,2,1,4,2
2,0,1,0,1,1,3,0,0,2,2,2,4,4,1,1,1,1,0,4,1,3,0,0,1,4,3,2,1,3,0,1,2,2,1,0,3,5,2,2,1,3,2,2,5,4,2,1,5,1,1,1,1,2,3,3,2,1,1,4,4,1,1,2,2,3,0,1,3,0,1,1,2,0,0,5,1,2,0,4,5,1,1,0,0,4,1,0,2,1,1,1,3,0,1,0,1,0,1,4,1,2,0,3,1,1,2,2,0,1,0,1,4,2,1,2,0,3,1,3,3,0,2,1,1,1,2,2,3,2,0,1,0,3,5,1,3,2,3,1,1,3,1,2,3,3,0,3,4,3,0,2,2,1,3,1,2,2,0,0,0,1,0,0,0,1,1,1,2,0,0,1,4,1,1,1,1,0,0,0,2,1,1,0,0,1,0,2,0,1,0,0,0,1,1,0,0,1,0,0,0,3,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,2,1,1,2,0,0,1,1,3,2,1,4,0,3,2,3,6,1,1,0,1
2,3,1,0,3,4,3,2,2,1,2,3,1,1,6,2,2,1,1,2,4,0,2,4,1,0,1,2,3,0,1,2,2,0,2,3,2,2,2,2,0,1,3,1,0,3,4,5,1,0,3,0,1,4,0,2,0,1,1,3,2,2,1,1,2,0,2,0,1,2,2,1,2,1,3,3,2,1,0,0,3,0,0,2,0,0,4,2,5,2,1,4,0,0,2,1,2,0,1,5,2,3,0,2,1,0,3,1,0,2,5,3,2,3,2,1,5,2,2,2,1,2,2,0,3,2,2,3,3,2,0,1,2,1,1,4,2,3,1,1,1,0,1,1,1,1,3,0,1,1,1,1,0,2,3,2,2,0,0,1,0,0,0,2,0,1,0,0,1,1,0,1,2,1,0,2,0,1,1,1,2,0,1,2,1,0,1,1,1,1,1,2,0,0,0,0,2,1,0,0,1,0,0,2,0,1,0,1,0,1,0,1,0,0,2,2,0,0,0,0,0,2,1,1,2,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,0,4,1,1,0,2,4,3,4,1,6,4,2
2,0,2,2,1,2,2,4,3,1,2,2,3,3,0,2,2,0,0,1,2,1,0,1,3,1,0,3,3,1,2,1,0,0,2,2,1,2,3,1,2,1,2,1,2,0,1,0,0,2,4,1,3,1,3,2,2,2,0,1,2,2,2,4,1,0,2,2,3,0,2,0,0,3,1,2,1,2,0,0,1,1,3,0,2,3,1,2,1,3,1,0,0,0,0,0,3,2,0,2,1,2,1,0,1,2,4,1,1,3,1,3,4,4,1,1,1,2,3,0,1,2,3,1,4,1,6,3,1,1,2,3,0,2,5,0,3,0,2,2,0,3,0,2,3,1,0,1,0,3,2,0,2,3,1,2,1,0,0,1,1,1,1,0,2,0,1,0,0,1,0,0,1,2,1,0,1,0,2,1,0,0,1,1,1,2,1,2,2,1,2,0,1,0,1,0,0,1,1,1,0,0,0,0,0,2,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,2,1,1,0,0,0,0,1,1,1,0,1,1,5,1,2,1,2,2,1,1,1,0,0,1,0,1,1,0,2,2,1,2,2
4,2,0,2,2,1,4,0,2,1,0,6,1,1,3,2,2,1,0,2,0,2,0,1,0,4,2,2,2,1,0,2,4,3,1,2,1,3,0,3,0,6,0,0,3,0,2,2,1,1,2,0,2,0,0,1,3,3,1,2,1,1,0,2,1,3,2,1,4,0,1,1,4,2,1,1,2,2,1,1,4,2,3,1,3,1,1,1,1,0,3,1,2,2,0,1,1,0,1,1,1,0,4,1,6,0,1,1,2,4,0,4,1,6,1,2,2,2,0,2,0,0,4,3,0,3,0,3,2,3,5,2,2,3,2,1,2,2,2,4,0,1,1,0,2,0,2,2,0,4,6,2,2,2,3,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,0,1,0,1,1,2,1,0,2,0,0,1,0,1,0,1,0,0,1,0,1,2,2,0,1,1,0,2,1,1,3,1,0,0,2,0,0,0,1,1,1,2,1,0,2,1,2,1,2,2,0,0,0,1,0,1,2,0,0,1,2,0,1,1,4,0,3,0,1,1,1,0,1,1,1,2
3,0,0,0,0,3,0,2,0,0,1,0,1,1,3,1,1,0,0,2,2,1,1,0,2,1,1,1,2,1,1,2,0,1,0,2,2,2,1,1,0,1,1,1,3,2,4,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,2,0,1,3,1,3,4,0,0,2,1,1,2,0,2,0,2,3,2,2,1,1,2,0,4,2,3,1,3,2,0,0,3,1,0,1,0,2,2,3,1,3,0,1,0,1,1,0,2,2,2,2,3,0,2,1,1,0,1,1,0,6,0,0,7,2,3,0,2,2,3,1,1,4,3,3,0,3,0,2,4,2,1,0,1,2,1,0,0,3,2,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0,2,0,2,2,0,0,0,0,0,0,1,0,1,0,2,0,0,1,1,4,1,1,1,1,0,2,1,0,1,1,0,0,0,0,1,0,1,1,0,2,1,0,0,2,1,0,1,0,1,0,1,0,0,0,2,2,0,0,1,1,1,0,0,0,1,1,2,1,3,2,1,2,0,1,2,3,0,2,2,1,1,2,4,2,2
2,3,2,1,1,3,1,1,1,1,2,0,0,5,1,1,2,1,2,3,1,0,0,1,1,1,2,4,0,3,2,0,4,2,0,0,3,1,2,2,2,2,1,0,0,1,0,0,2,1,4,1,3,2,0,3,2,4,2,2,2,1,4,2,1,1,3,0,0,1,3,1,2,1,0,0,4,0,1,1,1,0,0,3,1,2,0,2,3,0,2,2,1,3,1,4,4,3,1,2,1,4,4,3,0,1,0,1,2,2,3,3,2,3,0,3,1,2,2,2,3,0,1,1,4,1,2,0,1,1,3,3,4,3,1,1,1,3,0,3,2,1,1,1,1,0,2,7,3,2,1,0,0,0,3,0,0,1,0,0,1,1,1,0,0,1,1,0,0,1,0,1,0,2,0,0,1,2,0,1,0,0,1,0,1,1,1,2,0,1,0,3,2,1,2,1,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,2,0,2,0,1,1,0,1,0,2,2,1,1,0,2,4,1,0,1,1,1,1,1,2,1,0,1,1
1,1,0,1,1,4,3,1,2,5,1,4,1,1,1,1,2,2,1,1,1,1,2,3,3,1,1,1,2,0,1,2,0,1,2,2,2,1,1,2,1,0,2,1,2,0,1,1,6,3,2,1,2,2,3,1,1,1,1,3,0,0,0,2,3,1,3,0,1,2,3,2,1,2,0,2,0,2,2,4,2,1,2,1,0,1,1,4,2,2,1,2,2,2,4,3,2,1,6,3,2,1,0,0,1,1,3,0,1,4,1,0,0,3,0,1,0,1,1,2,4,0,1,1,2,3,5,2,2,1,2,2,1,4,1,0,0,4,1,1,1,0,2,3,1,2,6,1,1,1,0,1,1,0,1,0,2,0,1,1,0,0,2,1,0,1,0,0,1,1,2,0,2,1,2,0,1,0,0,1,0,3,1,0,1,2,1,1,0,0,0,1,2,2,0,1,0,0,0,2,0,1,2,1,0,0,2,2,1,0,1,2,4,1,0,0,1,1,1,1,1,0,0,1,2,0,0,2,0,0,2,2,1,0,1,1,0,0,0,1,1,3,1,0,1,3,0,2,1,2,1,1,1,0,1,2
1,0,1,3,0,1,2,1,2,0,1,0,0,1,1,1,1,1,1,1,2,4,2,1,1,2,1,3,2,4,2,2,0,2,2,0,4,1,2,3,3,3,0,1,1,4,2,2,3,0,2,1,1,3,3,1,4,3,0,2,3,2,2,0,3,0,0,2,4,2,0,1,3,3,2,1,1,2,0,2,3,1,3,0,0,0,2,3,3,2,1,1,2,2,0,3,2,3,2,5,1,1,3,1,1,0,3,3,0,7,0,1,0,1,1,5,2,2,2,3,1,1,2,1,1,2,1,1,3,2,1,1,1,3,1,1,2,2,0,3,0,2,1,0,2,1,2,1,2,3,2,6,1,2,0,3,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,2,0,0,1,2,1,2,2,1,0,0,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,1,0,4,0,0,0,1,0,0,1,1,0,0,2,1,0,0,2,2,2,1,2,1,1,2,0,0,1,2,3,0,1,0,2,2,3,3,0,2,0,1,3,1,1,5,1,4,1,1,3,0,1
2,2,4,2,1,0,1,0,1,1,0,3,1,2,1,5,1,5,0,0,0,1,0,2,2,1,1,1,0,1,1,0,0,2,1,1,4,2,2,2,1,1,4,4,1,1,1,2,1,0,1,0,1,1,0,1,0,0,2,1,3,2,1,0,0,2,0,0,0,2,0,2,3,0,4,3,3,1,0,0,1,0,0,0,1,0,2,0,3,1,0,0,1,1,1,4,0,1,1,1,2,2,2,0,2,1,1,2,3,1,4,6,1,3,3,4,2,2,1,0,2,2,4,0,1,0,3,1,0,0,0,1,0,2,2,3,1,0,5,1,3,0,1,1,0,2,0,1,2,0,1,2,1,5,3,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,2,0,1,1,0,4,0,1,1,0,3,0,0,0,1,0,2,1,1,0,0,0,4,0,0,0,0,1,3,0,1,0,1,1,1,1,0,4,0,0,2,0,1,0,0,2,0,1,1,2,0,0,0,2,1,0,0,1,1,0,0,0,2,2,1,2,0,0,2,0,1,2
0,1,3,1,2,0,2,1,0,1,3,2,3,2,3,1,1,1,2,1,3,0,0,0,1,4,0,2,0,2,1,0,0,2,2,2,3,0,0,2,1,1,0,0,1,1,0,2,1,3,1,1,0,1,2,3,1,1,0,0,4,1,1,0,3,2,0,1,0,1,1,2,1,1,6,1,0,3,2,0,1,2,1,5,2,3,2,0,2,2,2,0,1,2,1,0,1,0,0,0,3,1,0,0,3,3,2,0,4,3,0,4,2,2,3,2,2,3,3,3,2,1,0,1,1,2,2,4,0,1,1,3,2,2,0,0,2,0,3,2,1,2,2,2,1,3,4,2,0,2,3,0,3,1,2,1,0,0,1,0,0,0,1,1,0,0,0,2,0,0,1,1,0,0,0,2,0,1,0,1,0,1,2,1,1,1,1,3,2,2,0,0,0,0,0,2,2,1,1,1,0,0,1,2,1,1,1,0,3,0,2,2,0,0,1,2,0,3,1,1,2,1,0,0,0,0,0,0,2,0,1,1,0,2,3,1,1,0,0,0,3,0,0,2,2,1,2,0,2,2,1,0,1,1,0,4
1,0,3,2,1,2,5,0,0,3,1,1,1,1,1,2,3,0,2,2,1,4,2,0,0,0,2,3,2,1,1,0,3,1,3,1,0,4,1,0,1,3,1,0,3,1,1,2,2,2,1,2,2,0,1,3,2,1,0,1,0,3,0,0,0,3,2,2,1,1,1,1,1,3,2,2,3,0,1,0,0,2,0,0,1,1,1,1,0,0,0,1,2,1,1,1,3,2,1,1,3,1,2,1,4,2,3,5,0,1,1,1,0,1,2,2,1,5,1,2,1,4,1,0,2,0,1,2,2,2,1,2,1,2,0,2,1,1,0,1,0,1,2,1,1,1,4,1,2,3,3,4,3,2,2,1,1,0,1,0,0,1,0,0,0,2,0,2,0,0,0,2,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0,1,1,0,0,0,1,0,0,1,0,1,1,0,1,0,0,1,2,0,1,1,0,1,1,1,2,1,0,2,0,2,1,2,0,1,1,0,2,2,3,1,2,3,0,1,0,1,3,2,1,1,2,0,4,0,1,0,1,1,0
1,0,0,5,2,0,3,2,0,0,3,2,1,1,1,0,0,0,2,2,2,2,1,1,1,1,4,0,2,1,1,1,0,2,0,2,2,1,1,1,0,3,3,1,2,0,1,1,3,1,0,0,3,4,1,2,0,3,2,1,2,1,1,1,2,1,3,3,2,1,1,0,1,2,2,1,0,2,1,0,0,1,1,1,1,0,1,2,2,1,1,3,0,2,1,0,2,3,3,1,2,1,1,2,0,0,2,1,1,4,1,4,0,1,0,3,0,4,0,3,3,2,1,1,1,2,2,1,1,0,1,1,2,1,0,1,3,1,1,2,0,3,2,2,3,0,3,0,1,4,1,2,0,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,1,0,3,1,0,0,0,1,1,1,1,0,0,1,1,1,0,0,0,1,1,3,0,1,0,1,1,1,0,2,1,0,0,2,0,0,0,1,1,1,0,2,0,1,2,1,0,1,1,1,2,1,0,2,3,1,1,2,1,2,3,1,1,2,2,0,2,3,2,1,1,1,1,1,2,0
3,3,4,1,1,0,1,1,2,0,1,1,2,1,2,1,2,1,0,2,2,4,1,1,1,0,1,2,1,0,0,0,1,0,3,3,2,1,1,0,1,0,0,2,0,0,1,2,3,0,2,2,2,2,1,4,1,2,2,1,0,1,3,1,3,1,0,0,1,0,3,0,0,1,2,2,0,0,2,2,1,2,0,1,2,3,3,0,0,0,0,3,3,1,0,2,4,1,1,1,0,1,1,1,1,4,3,4,4,2,3,0,1,2,1,0,2,2,2,4,2,4,0,3,0,3,1,2,0,0,3,0,2,0,2,1,2,0,1,1,1,1,3,2,2,1,0,0,1,0,0,0,3,0,2,1,2,1,1,5,0,3,1,1,1,1,1,0,1,1,0,0,1,3,0,1,2,0,0,0,2,0,1,2,0,0,2,1,1,0,2,1,1,0,0,0,1,1,2,1,2,1,1,1,0,0,2,2,0,1,1,0,0,1,0,0,0,1,0,2,1,1,4,1,1,0,2,0,2,1,1,2,2,0,3,3,3,0,2,0,1,1,1,1,2,3,0,1,1,1,1,0,0,5,2,0
2,1,1,2,2,1,2,2,0,0,1,1,2,2,1,2,1,1,0,3,1,1,0,1,0,1,1,3,1,2,3,2,2,2,3,1,0,2,1,1,0,0,4,1,2,2,0,4,1,0,2,1,4,1,3,2,1,2,1,2,1,2,6,1,3,0,0,4,1,3,1,0,0,2,5,0,0,2,3,1,2,1,7,2,2,2,1,1,2,3,3,4,3,3,0,2,1,4,0,3,2,1,0,0,1,0,1,0,1,1,1,1,1,2,2,1,0,1,1,5,1,2,1,5,2,1,1,1,4,0,2,0,4,1,2,1,1,1,0,0,1,0,2,0,1,2,2,1,2,5,3,1,2,0,1,0,0,0,2,0,0,1,0,1,0,2,0,2,3,2,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,0,0,1,0,0,1,0,3,0,1,0,2,2,1,1,1,0,0,1,1,0,2,0,0,0,1,0,2,0,1,3,0,1,0,2,0,0,0,1,0,1,3,1,0,3,0,3,2,1,3,3,0,3,2,3,3,3,1,0,0,5,3,0,2,0,4,3,1,2,1,1
2,0,1,0,1,1,3,0,1,3,0,1,3,2,1,0,2,0,0,0,2,1,2,0,0,1,2,2,3,1,2,3,3,2,1,1,2,1,3,2,1,0,0,1,2,0,2,4,0,2,3,0,3,6,0,1,2,5,0,0,1,2,4,1,0,0,0,4,1,4,3,2,1,2,0,0,3,1,2,2,1,3,4,1,1,3,2,2,3,0,4,2,0,1,1,0,0,0,0,2,1,2,1,0,2,0,0,3,3,1,1,2,1,3,0,2,2,1,2,1,2,2,1,1,1,3,2,2,1,0,2,2,3,4,2,2,2,1,2,1,0,1,1,0,0,2,2,2,2,0,7,0,0,1,1,1,2,1,1,0,0,2,2,0,0,1,0,2,2,1,0,2,0,2,0,1,1,0,0,0,1,0,0,1,0,0,0,0,0,0,2,2,3,4,0,0,0,0,1,2,1,2,0,2,0,0,1,0,0,1,0,1,0,0,1,1,1,2,1,1,0,0,1,0,2,3,0,3,2,1,1,0,0,2,1,1,3,3,3,4,1,4,2,5,3,4,3,3,3,0,2,1,0,3,3,1
4,1,4,2,1,1,2,1,0,3,2,2,0,3,0,1,1,0,3,1,4,1,1,2,1,2,0,2,0,1,2,1,4,0,3,0,0,2,2,1,3,1,2,2,1,2,4,4,1,2,0,0,1,2,1,3,2,0,0,1,0,1,0,0,1,3,2,2,1,0,1,1,0,2,0,1,2,2,0,0,1,2,2,1,0,1,1,2,3,1,0,1,1,1,2,0,2,2,2,1,2,1,1,1,0,3,1,0,2,1,1,1,2,2,3,1,1,0,2,0,3,1,2,1,2,1,1,1,3,1,0,2,0,1,1,5,1,1,0,1,4,5,0,1,1,1,3,3,1,1,0,3,0,1,1,1,0,0,1,2,1,0,1,0,0,0,0,1,3,2,1,1,1,1,0,0,0,0,1,0,1,0,0,1,0,4,0,0,0,0,1,1,2,2,0,1,0,1,2,1,1,1,2,2,2,2,1,4,1,1,1,2,0,0,0,0,1,1,2,2,3,0,4,1,2,1,2,4,2,1,1,2,2,3,1,1,2,3,3,3,0,1,3,3,0,0,2,2,1,3,3,3,0,2,2,2
0,1,1,1,2,0,3,2,0,0,1,1,4,0,1,0,0,1,0,0,0,1,1,2,1,2,0,1,0,2,2,2,1,0,3,2,1,1,1,4,1,2,1,0,0,1,3,3,1,2,0,1,0,2,3,2,0,1,1,2,1,2,2,3,1,2,3,2,3,2,1,2,0,2,1,2,1,2,2,1,3,1,1,4,1,1,0,0,1,1,2,1,2,1,2,1,6,2,3,1,2,1,1,1,2,4,0,0,1,2,1,2,2,0,5,0,2,2,1,1,1,2,4,2,1,2,1,3,0,0,3,0,3,1,0,2,1,4,4,4,2,3,1,2,3,2,0,2,1,3,4,5,2,1,0,0,2,0,0,0,0,0,2,1,0,0,0,4,2,4,0,0,2,3,0,0,0,1,0,0,0,0,2,0,1,1,0,0,2,1,1,0,4,1,1,0,0,0,1,1,0,2,1,0,0,2,0,0,2,2,1,2,2,0,4,0,2,1,0,2,1,2,1,4,0,2,1,2,2,0,1,1,1,1,2,3,5,3,0,0,0,3,2,2,3,1,2,2,2,4,1,0,3,0,1,1
0,2,1,1,0,1,2,1,0,0,1,0,1,0,1,0,0,1,2,0,2,3,0,2,2,2,2,1,2,1,1,1,1,2,2,2,1,4,0,2,2,0,0,1,3,2,0,1,0,1,1,2,1,2,3,2,2,0,4,4,1,0,0,1,2,0,2,3,0,1,4,1,0,1,6,1,1,1,6,0,1,0,4,1,3,1,1,2,2,4,3,1,2,1,2,5,2,4,0,2,1,2,3,1,0,2,0,2,0,3,3,3,0,0,2,1,1,2,1,1,0,2,0,3,1,2,2,1,3,2,0,0,3,6,2,0,0,2,1,3,4,1,0,3,0,3,0,1,1,1,1,2,2,2,4,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,3,2,3,0,0,0,0,2,1,2,0,1,0,2,0,3,0,1,0,1,2,3,0,1,0,0,2,0,1,0,0,0,0,0,1,2,1,0,0,1,1,2,1,2,0,1,2,2,2,0,0,0,0,2,2,2,2,0,3,2,1,1,0,0,0,1,3,0,2,1,2,1,0,1,1,2,3,0,3
2,2,2,1,0,2,1,2,2,1,0,2,0,3,2,4,2,2,0,2,0,0,0,2,5,1,2,0,3,4,2,0,2,1,1,0,2,2,1,0,0,1,0,0,1,1,2,3,3,2,2,3,1,2,1,3,1,1,1,1,3,2,0,3,1,2,1,0,0,3,0,2,1,1,2,0,1,0,2,0,0,3,2,3,0,1,1,1,2,4,2,0,0,2,0,1,3,0,2,3,1,1,2,0,2,0,1,4,2,0,3,2,1,1,2,1,2,1,1,1,0,2,3,2,1,4,2,0,4,4,0,2,3,4,1,1,4,3,4,2,0,5,1,3,2,3,3,3,1,2,1,1,0,1,1,1,0,1,0,0,1,0,2,0,0,0,0,0,2,0,0,0,0,0,2,0,4,0,0,2,1,1,1,1,0,0,2,1,3,0,0,3,0,3,0,1,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,0,2,3,0,1,0,0,1,0,2,1,0,0,4,2,0,2,3,2,1,2,0,1,1,2,3,1,0,1,3,0,1,2,3,1,0,1,1,2,4,2,0
0,1,3,1,1,1,0,1,3,1,0,2,3,2,2,1,1,1,1,1,0,1,2,0,3,2,1,3,3,1,2,0,1,2,2,2,0,1,1,2,0,1,0,1,3,0,1,1,2,4,1,2,0,4,4,3,2,0,3,4,2,1,3,1,0,1,4,3,2,0,1,0,1,3,1,2,0,2,1,1,0,1,2,3,1,0,1,2,0,1,0,4,2,1,0,1,1,1,1,3,1,1,2,1,4,2,0,2,2,1,1,1,4,1,2,0,0,2,1,1,2,0,0,0,3,1,2,1,2,2,3,2,0,3,1,0,1,3,3,2,1,1,3,1,0,2,2,4,1,1,0,0,0,2,1,1,1,1,0,0,0,1,0,1,0,0,0,2,0,0,0,0,1,0,2,1,0,0,1,2,0,2,1,1,0,1,1,1,1,0,0,1,2,2,0,0,0,1,1,0,0,0,0,0,3,2,0,2,0,0,0,0,4,0,3,1,0,2,1,4,1,0,2,2,2,3,2,0,1,0,1,2,2,4,1,1,1,2,1,0,1,4,0,3,3,1,1,2,3,1,2,2,3,3,2,3
0,0,3,2,2,3,2,0,2,2,0,1,2,2,1,2,1,0,0,1,1,1,2,1,1,1,4,5,2,1,0,1,1,1,5,2,1,1,2,1,4,0,0,4,2,3,1,1,1,2,1,2,2,4,3,5,1,1,0,0,1,1,1,2,0,3,1,1,2,4,3,0,3,1,2,6,3,2,2,3,2,0,2,1,1,1,3,0,0,0,1,0,1,0,1,5,1,3,1,1,2,0,1,0,1,1,3,4,2,0,3,2,2,1,2,4,1,2,1,1,1,0,1,3,1,1,0,2,2,1,1,0,0,3,2,1,1,0,1,2,1,3,1,0,1,2,4,1,0,1,1,2,1,0,2,2,1,0,1,2,2,2,2,1,2,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,2,0,0,1,0,0,2,1,0,0,2,1,1,4,1,1,1,0,0,1,0,1,1,0,2,1,6,0,2,0,3,4,1,3,0,0,1,2,1,4,5,1,1,0,2,0,1,5,2,2,2,0,1,1,3,0,1,1,0,1,1,1,2,1,1,0,2,0,2,2,1
2,3,0,1,1,2,1,0,1,0,4,2,2,1,0,2,6,0,0,2,1,1,0,3,2,0,0,2,1,0,0,0,0,1,2,2,4,0,0,0,3,1,2,0,2,1,0,0,0,2,3,1,2,1,1,0,0,5,2,3,1,1,3,1,0,0,2,0,0,3,3,2,4,2,3,3,2,4,0,0,1,2,3,0,3,1,1,0,1,4,2,2,1,2,2,5,2,0,0,2,1,1,1,0,4,0,1,3,3,0,2,4,1,2,4,3,1,2,2,3,2,2,3,2,5,1,3,3,4,1,4,1,2,1,0,1,2,0,0,2,3,1,1,4,3,2,1,1,5,0,1,0,1,2,2,1,0,3,1,1,0,1,1,1,0,0,0,0,1,1,1,1,1,2,0,2,0,1,0,1,1,1,0,1,4,2,2,0,1,1,2,0,3,1,0,1,2,2,1,2,2,0,3,0,1,1,1,2,1,0,0,1,1,2,2,1,1,2,1,2,2,0,1,0,0,1,0,3,2,2,3,2,2,1,3,0,4,5,0,1,2,3,3,0,2,2,2,1,0,2,2,0,1,4,0,1
1,0,1,2,1,1,1,1,1,0,3,4,0,2,4,0,2,3,1,1,1,1,1,0,2,1,0,0,0,1,1,0,0,1,1,1,2,2,1,1,5,2,3,0,1,2,2,3,0,1,0,1,1,3,0,0,2,1,2,2,1,0,2,1,3,0,1,0,0,1,0,1,1,2,1,3,1,1,2,1,2,2,2,0,1,2,1,1,1,2,1,3,4,2,2,2,1,1,2,1,7,3,0,0,0,2,3,4,0,1,1,2,2,0,1,1,1,1,2,1,2,3,0,1,3,1,1,2,0,2,1,1,2,1,1,0,3,1,2,1,2,2,4,3,1,0,1,0,0,2,0,1,1,0,0,0,1,1,1,1,0,0,3,0,1,0,1,0,0,0,0,0,0,1,0,0,1,1,1,2,2,0,1,4,2,0,1,0,0,1,1,2,0,1,0,0,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,2,2,1,0,0,5,2,2,0,2,0,1,0,2,2,1,2,1,5,1,2,1,0,0,1,0,3,1,1,0,1,5,0,0,0,2,1,2,1,1,1,2,2,0
1,1,2,2,1,3,2,1,2,1,3,4,0,2,2,3,3,0,0,1,4,1,2,2,1,1,0,0,2,0,1,1,2,1,0,4,3,2,2,2,0,1,2,3,0,1,1,1,1,3,1,0,1,1,2,1,2,0,3,2,1,1,1,1,2,1,0,3,2,1,2,3,1,2,0,0,2,4,0,3,1,2,1,2,1,3,0,0,2,1,1,1,2,1,1,0,0,1,1,0,2,2,2,3,1,0,0,3,0,2,3,3,3,3,3,0,1,3,1,1,1,1,1,2,2,3,0,1,3,2,4,1,2,3,2,3,2,5,2,3,1,3,2,2,0,1,0,2,1,1,1,2,2,0,0,0,1,2,1,0,1,0,1,0,1,1,1,1,2,0,0,1,0,0,1,0,1,1,2,0,1,0,1,0,2,2,0,3,1,0,0,0,0,0,1,1,2,1,1,1,3,2,3,1,1,2,0,1,2,0,0,2,2,1,3,2,2,0,1,0,0,1,2,1,0,1,1,0,1,2,2,1,1,0,1,1,0,2,2,2,2,0,1,1,1,2,2,0,2,2,1,1,3,2,2,1
2,0,3,0,2,1,1,1,1,1,0,2,1,2,1,1,1,4,1,0,1,2,1,1,3,2,0,1,3,1,1,1,3,2,0,2,1,0,6,1,3,0,1,0,2,2,3,0,0,0,2,2,1,7,0,0,1,1,2,1,0,0,0,0,2,3,2,2,1,3,0,2,2,0,2,1,0,0,2,5,1,1,3,1,1,0,1,4,2,0,0,3,1,3,1,1,0,1,1,2,2,0,1,2,0,3,1,3,2,1,1,3,5,0,1,2,0,1,1,1,2,4,2,1,3,1,4,1,0,2,2,1,0,0,0,2,4,1,2,2,0,2,1,0,0,1,3,5,0,2,1,0,1,1,0,1,2,0,1,0,1,2,0,2,0,2,0,2,2,0,1,3,2,0,1,0,0,0,2,0,0,1,1,1,0,0,1,0,3,2,0,0,1,3,4,1,2,1,0,1,0,1,1,0,3,1,1,3,3,1,0,3,2,2,0,1,1,2,5,0,0,2,3,2,2,2,4,0,2,5,2,1,1,1,1,3,1,1,1,6,1,1,1,3,3,1,0,0,0,1,1,0,2,1,3,0
2,1,3,2,2,1,3,2,1,0,2,3,0,2,0,0,1,1,2,2,1,1,2,0,1,1,3,0,1,0,2,1,0,2,1,3,2,1,2,0,3,1,1,1,1,2,5,1,2,1,7,0,1,1,0,0,3,1,2,3,1,1,1,1,3,0,4,3,2,1,0,1,2,2,1,1,1,0,3,0,0,1,0,1,1,0,3,0,1,0,3,2,4,1,1,4,3,0,4,1,0,0,1,2,2,0,0,2,1,0,2,1,4,2,2,2,2,3,1,0,1,2,0,2,1,5,0,2,1,2,0,5,0,2,3,1,1,4,0,3,1,1,3,3,4,2,0,6,2,1,1,0,0,2,1,2,3,3,2,0,1,0,0,1,2,0,3,0,0,1,2,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0,1,0,1,2,0,0,1,3,0,1,1,0,2,2,3,1,1,0,1,0,3,2,1,1,1,0,0,1,0,0,2,0,0,1,1,2,0,1,2,2,3,2,2,2,0,0,1,2,3,0,1,0,0,0,1,1,2,1,1,1,2,1,6,1,1,2
2,0,2,0,0,2,4,0,2,2,0,1,2,2,3,2,2,2,0,1,1,1,0,2,1,1,0,1,2,2,1,0,2,2,0,2,4,1,4,6,1,1,0,1,2,1,0,1,2,4,1,4,1,1,1,0,1,3,1,1,1,1,2,4,5,3,0,2,2,1,2,1,2,1,2,0,0,0,3,1,1,0,4,0,0,0,3,1,0,3,1,2,5,1,0,3,3,1,9,0,4,1,0,0,2,1,1,2,1,2,2,1,0,0,1,1,2,2,1,2,1,1,2,2,2,1,2,2,2,2,3,2,2,1,1,4,0,3,1,3,2,2,0,3,3,1,2,2,1,0,0,1,0,3,0,0,0,1,1,1,0,0,2,3,1,0,2,1,0,0,0,1,0,0,1,0,3,0,2,0,0,0,0,1,0,1,1,1,0,1,1,1,1,0,2,2,1,2,1,1,3,0,1,0,0,0,1,2,0,0,1,0,1,1,0,3,1,1,2,1,1,2,1,0,0,2,3,1,0,1,2,1,1,3,2,1,2,0,2,0,1,1,3,1,1,0,3,1,3,0,2,2,1,1,0,0
1,2,3,2,1,3,2,1,2,1,2,1,1,2,0,1,2,1,1,0,2,2,1,0,0,1,3,2,2,0,1,1,2,0,1,2,3,3,2,2,3,2,2,2,1,0,1,1,1,0,3,0,1,1,1,2,0,2,2,4,2,2,1,2,3,1,1,1,2,0,1,1,0,0,1,0,0,2,0,2,0,0,0,4,0,1,0,2,1,2,3,0,1,0,1,1,3,1,2,1,1,3,1,3,3,0,2,5,0,0,0,2,2,2,2,1,1,0,0,1,2,1,0,1,2,4,0,1,1,1,1,0,2,2,1,1,1,4,3,0,4,2,4,2,4,1,2,0,2,3,1,1,0,0,0,1,0,3,1,3,0,1,0,2,2,1,2,0,2,2,0,0,0,0,1,0,0,0,0,1,1,4,0,0,2,1,0,1,1,1,1,1,2,0,1,1,0,1,3,1,2,2,3,1,0,0,0,0,3,1,1,1,1,3,0,2,0,2,1,1,3,2,0,0,1,1,1,3,2,1,1,0,2,1,1,2,1,2,1,1,0,0,3,3,2,2,0,0,2,1,1,0,0,2,0,1
2,2,2,3,0,0,0,3,1,1,0,0,1,1,1,3,2,3,1,2,0,2,0,2,1,0,1,3,2,0,0,0,1,1,1,1,1,0,0,0,1,5,2,1,1,2,1,2,0,2,0,2,0,1,2,3,1,1,0,0,1,0,0,0,0,2,1,1,2,6,4,3,3,2,1,1,1,2,2,5,2,1,1,1,1,1,0,1,0,1,3,0,0,0,0,1,1,2,2,0,1,2,1,5,0,1,0,1,0,3,0,1,0,2,4,1,2,2,1,0,1,2,2,2,4,2,1,0,1,1,0,1,0,0,1,0,2,0,0,0,1,2,4,0,0,1,2,0,0,2,1,0,0,0,0,0,1,0,0,0,0,3,1,0,2,0,1,1,0,1,1,1,0,0,1,0,4,1,0,3,2,2,1,1,1,1,0,0,0,1,2,0,0,2,2,0,0,1,2,0,1,1,2,1,1,1,4,2,1,2,5,2,1,3,1,1,4,4,1,2,0,1,1,0,2,1,0,1,2,2,2,1,2,0,1,0,4,1,0,0,1,2,2,1,1,1,3,2,1,1,1,1,1,0,0,3
0,1,2,3,0,0,2,1,4,2,1,0,3,1,1,2,1,1,4,1,1,1,1,2,0,1,1,3,6,2,1,0,3,2,0,0,0,0,4,1,2,0,2,0,0,1,0,0,0,0,4,2,1,0,1,3,0,0,2,2,1,1,2,0,3,1,4,1,2,1,0,2,1,3,3,1,3,3,2,0,4,2,1,3,3,0,3,0,1,1,3,1,2,1,1,3,3,2,0,1,1,1,2,1,0,0,2,1,2,1,2,0,2,1,0,1,0,1,2,2,3,2,1,1,1,5,1,0,2,3,2,3,2,3,3,0,4,1,2,2,1,1,2,2,2,2,2,1,0,3,0,0,0,0,2,0,0,2,1,0,1,1,2,1,0,0,0,2,1,1,2,1,1,2,0,2,1,0,0,1,0,0,2,0,1,0,0,1,1,2,1,1,0,1,2,1,1,1,1,0,2,4,4,1,5,0,2,1,2,3,1,3,3,0,1,1,0,1,4,1,3,3,2,5,1,1,0,2,1,1,0,0,1,1,1,1,4,0,3,1,3,2,2,3,2,5,1,2,2,1,1,0,0,5,0,2
1,2,1,2,1,1,1,5,3,2,3,2,2,2,0,3,0,2,3,0,3,2,1,4,5,2,2,1,0,0,0,3,2,0,1,0,2,0,3,0,0,1,0,1,0,1,5,4,0,2,1,0,1,0,1,0,2,1,1,2,2,2,1,2,1,1,2,0,2,1,0,1,0,2,2,4,1,1,1,0,2,2,3,1,0,1,1,1,1,2,1,0,3,1,0,0,1,0,1,3,2,1,2,1,0,1,0,1,0,2,3,0,0,0,0,1,1,0,1,3,4,3,2,1,3,1,2,2,0,3,1,1,2,0,1,1,0,1,3,4,1,3,0,2,2,0,1,1,0,2,0,0,0,1,0,1,3,0,0,0,0,0,0,1,3,2,1,0,0,0,3,1,2,1,1,2,1,0,1,0,1,2,1,0,3,0,1,3,0,0,1,2,1,1,1,5,2,0,3,1,0,0,0,1,3,4,2,0,1,1,1,2,0,2,2,2,2,3,1,1,5,0,4,3,3,1,2,0,1,0,1,1,3,2,0,0,2,0,3,0,2,1,1,1,1,3,0,0,1,2,3,2,0,2,0,0
0,1,2,2,0,2,2,1,2,1,1,1,1,0,3,0,3,1,0,1,2,2,1,0,0,3,2,2,2,2,2,1,3,1,1,3,3,2,4,1,1,1,1,3,1,1,1,1,0,2,2,1,0,1,1,2,1,2,2,5,2,1,3,3,4,2,2,1,0,4,2,1,2,0,0,1,2,0,1,0,3,3,1,3,1,1,1,1,1,3,1,1,1,0,1,3,0,3,0,2,3,2,4,2,2,3,2,2,4,0,2,1,0,3,1,1,3,0,1,2,2,2,3,3,1,3,2,2,1,3,1,4,3,0,2,3,1,1,2,1,0,0,1,4,1,1,3,1,0,3,0,0,1,3,0,0,1,1,0,0,0,0,3,0,0,1,3,1,0,0,0,0,0,0,1,1,1,1,2,2,2,0,0,1,2,2,1,1,3,1,1,1,4,0,1,3,1,0,4,2,0,1,1,1,2,1,2,1,1,3,5,1,0,0,4,0,1,3,3,4,1,2,3,2,2,2,1,1,3,2,2,2,1,0,2,1,1,1,2,5,0,0,0,3,3,1,0,4,0,4,2,1,2,2,3,0
2,1,2,0,0,2,2,4,3,1,2,1,0,1,1,3,2,0,3,3,2,1,1,0,1,0,2,2,2,1,2,0,0,2,3,2,3,1,1,1,1,2,1,1,0,1,2,1,1,3,1,0,3,0,1,1,4,0,2,1,0,0,0,2,0,1,2,0,2,3,1,2,1,1,1,4,0,2,1,1,3,1,1,2,3,0,3,3,1,1,2,0,3,1,0,1,6,2,2,2,2,0,3,3,2,0,1,0,1,0,3,1,0,0,1,2,5,1,2,3,3,1,2,3,1,1,0,3,2,2,0,3,2,3,2,1,2,4,0,1,2,3,2,1,2,3,2,1,2,1,0,0,0,0,0,0,0,0,0,2,0,2,1,1,1,1,2,1,3,2,2,2,0,0,0,0,2,3,2,1,0,2,0,0,2,1,3,1,3,1,3,3,0,1,1,2,1,1,1,2,1,1,4,3,0,1,2,3,0,1,2,2,3,2,4,1,0,1,1,2,7,0,0,1,1,4,6,2,2,1,3,1,2,5,1,4,1,2,1,3,0,2,0,0,1,1,2,3,2,1,1,3,3,0,3,0
0,4,0,0,1,1,3,3,2,1,1,2,2,3,1,0,2,2,0,1,2,2,4,0,0,0,2,1,2,1,0,2,0,1,1,0,1,3,1,2,5,4,4,2,3,3,3,0,1,1,1,3,0,1,0,1,0,1,0,1,3,1,1,1,1,3,1,0,1,3,3,0,1,3,3,1,0,0,2,2,0,1,1,4,1,1,0,2,1,1,1,3,1,3,3,1,1,3,2,0,1,1,0,2,1,2,1,2,2,0,1,0,1,5,1,0,4,3,2,1,0,1,2,1,1,0,3,0,1,0,1,1,5,3,2,1,3,0,1,1,2,1,0,1,3,3,2,1,0,1,2,0,0,0,0,2,1,2,0,1,1,1,1,0,0,1,1,2,3,0,1,1,1,0,1,0,0,0,3,1,1,1,4,1,0,1,1,2,0,0,1,3,1,2,0,2,4,3,0,1,4,2,0,1,4,4,0,2,4,3,0,5,1,3,1,2,2,1,4,2,0,0,1,1,0,2,0,1,1,1,0,1,2,0,2,2,1,2,0,3,1,4,3,1,0,0,3,2,4,3,1,2,1,5,2,6
1,2,1,2,2,1,3,4,2,0,1,2,3,0,4,1,0,3,0,2,1,2,2,1,4,4,4,0,2,2,1,1,0,1,6,2,1,2,1,0,0,1,2,2,3,0,6,0,1,4,1,1,3,2,1,0,4,3,0,3,0,1,1,1,0,2,0,2,1,1,0,0,1,2,3,3,0,3,2,2,1,9,1,2,0,2,3,1,2,2,2,2,0,6,3,3,0,1,0,1,1,3,1,2,0,1,1,1,2,3,2,1,0,1,1,3,3,3,4,0,3,3,2,3,2,2,3,1,3,0,0,0,2,3,2,2,2,4,2,2,4,3,1,1,2,1,2,0,0,0,0,0,0,0,2,2,0,0,1,0,0,0,2,3,1,1,0,1,0,0,1,3,2,0,1,2,0,1,0,0,4,0,3,0,1,1,0,1,2,1,0,5,2,2,1,0,0,3,0,0,1,4,1,1,1,3,0,2,0,4,4,3,1,2,1,3,0,0,3,4,1,3,1,3,0,3,0,0,1,1,3,1,2,1,4,0,2,0,1,2,0,2,1,1,2,1,3,2,0,0,2,4,2,0,0,2
1,4,1,1,0,1,1,2,2,4,1,1,1,2,2,1,1,3,2,3,4,1,2,1,2,0,0,1,1,2,0,1,2,4,1,1,2,0,4,0,3,3,4,2,1,0,2,2,1,3,0,0,1,3,2,1,0,1,2,2,0,2,2,2,0,0,1,1,2,1,2,2,2,0,3,1,1,2,0,2,0,1,0,0,3,1,2,0,2,4,2,4,3,1,2,1,4,0,2,3,1,0,2,3,0,4,1,2,1,0,1,1,1,2,4,2,1,3,2,2,1,0,1,2,3,0,2,2,1,0,1,1,3,0,1,3,1,1,0,0,1,3,0,1,1,2,3,1,0,0,0,0,0,0,0,3,1,2,1,0,1,0,2,1,0,2,1,1,2,0,1,3,2,1,0,1,1,1,1,3,1,1,2,1,1,1,3,1,2,4,1,0,2,3,0,1,1,1,4,2,2,1,1,2,0,2,1,0,1,0,2,0,2,2,2,3,2,0,1,0,0,2,2,2,0,0,2,2,4,1,1,0,1,2,0,2,1,2,4,1,1,1,0,1,2,0,3,1,4,1,1,3,1,3,1,2
1,3,1,2,0,0,3,1,0,1,1,1,0,1,0,0,4,2,1,1,1,0,2,1,0,0,1,2,5,4,1,1,1,2,0,1,1,0,4,1,1,0,4,3,1,0,3,2,1,1,0,2,0,2,3,1,0,3,2,1,3,3,2,3,0,0,2,2,0,2,1,1,1,3,2,0,3,3,1,1,2,1,0,2,2,2,1,1,2,1,3,3,3,1,0,1,2,2,0,0,0,1,3,2,1,0,1,3,0,1,3,0,1,0,5,4,4,1,2,3,0,1,2,1,3,2,3,1,2,2,5,1,1,1,0,1,3,4,2,2,2,1,0,1,1,0,0,2,2,3,1,3,3,1,1,2,1,1,0,1,2,1,0,1,1,0,3,0,1,1,1,1,2,0,2,2,1,0,0,1,0,1,0,1,0,1,0,1,2,0,2,4,1,1,2,2,2,1,3,2,1,2,1,1,0,1,2,0,0,3,0,2,1,0,1,1,1,3,3,2,2,0,2,0,1,1,0,1,0,0,1,1,3,1,1,1,2,2,0,2,0,4,1,1,0,1,3,1,0,3,0,1,2,3,3,1
2,1,0,4,1,0,1,3,2,1,2,0,2,1,0,1,0,1,1,0,0,2,2,0,1,3,0,2,1,1,1,2,1,0,1,1,3,1,0,0,2,4,0,0,3,0,2,0,1,2,2,0,2,2,2,2,5,3,1,4,2,0,3,1,4,3,2,2,0,1,1,1,0,3,2,1,0,1,0,3,3,2,1,3,1,2,1,0,1,2,0,0,1,1,1,5,0,1,1,6,2,2,1,0,1,1,0,1,0,1,1,1,0,2,3,2,3,3,1,1,3,4,4,4,1,2,0,4,1,0,3,5,1,2,2,2,3,1,4,4,3,0,3,5,3,1,1,1,1,1,0,0,0,0,3,1,1,1,0,2,1,1,1,2,0,2,0,1,1,1,0,1,1,1,1,0,2,0,2,0,1,1,0,2,0,0,2,2,1,1,2,1,2,0,0,1,3,0,1,2,4,1,3,1,3,0,3,2,1,2,1,0,2,1,0,1,3,4,2,2,1,1,2,1,1,1,0,0,1,1,1,2,2,1,0,1,1,2,2,3,1,1,1,3,2,2,1,0,2,1,2,2,2,0,2,2
1,1,1,1,0,3,1,4,2,1,0,1,1,2,1,1,3,3,1,1,1,0,3,1,1,2,0,2,1,2,0,0,2,1,3,1,1,1,1,4,1,1,4,0,0,4,2,1,1,1,1,2,1,1,4,3,0,2,2,3,0,2,1,1,0,1,3,0,4,2,0,3,0,1,1,0,2,0,0,1,3,1,1,2,2,0,0,1,5,1,1,1,0,3,0,1,2,0,0,2,2,2,4,2,1,1,2,1,2,0,1,1,1,0,1,3,2,2,4,4,0,1,1,2,1,0,3,5,0,4,1,5,5,1,2,0,2,3,1,2,0,1,2,1,1,1,1,2,1,4,0,0,0,0,1,0,0,2,1,2,2,1,0,0,3,1,1,2,1,0,0,4,3,1,1,1,0,2,0,1,1,1,1,0,1,0,0,2,1,2,1,2,1,1,0,2,1,2,1,2,2,3,0,0,2,2,2,2,0,2,1,2,1,0,0,1,2,2,2,3,1,1,1,2,0,1,2,4,2,1,0,2,3,3,2,1,1,2,1,0,2,0,2,3,4,1,2,1,1,2,8,0,1,2,1,1
2,3,2,5,2,0,1,0,1,0,1,1,0,1,1,3,0,2,0,3,0,1,0,6,0,1,1,0,2,1,1,2,1,2,3,1,2,2,1,3,1,0,0,1,0,0,1,2,0,1,2,2,2,1,1,3,1,0,2,5,2,0,3,1,1,1,0,1,4,0,2,0,3,2,2,0,2,2,3,1,2,3,1,1,1,2,1,1,2,0,3,1,0,2,2,0,1,1,5,1,2,0,1,0,2,3,1,2,1,2,1,1,2,1,4,0,4,3,0,0,3,0,2,4,3,0,0,3,2,2,2,1,2,3,2,1,2,3,4,2,4,3,2,0,0,4,5,1,0,1,0,0,1,1,2,0,1,0,0,1,2,1,1,0,0,1,0,1,0,1,0,2,0,2,2,0,1,0,1,0,3,2,0,2,3,0,2,2,1,0,1,2,1,1,2,0,1,1,2,1,0,0,0,1,2,1,4,1,1,3,3,1,2,3,0,0,1,1,1,1,3,0,1,2,2,1,1,0,1,1,1,0,4,2,1,0,1,4,2,1,3,5,0,1,3,4,0,2,0,2,4,0,0,2,2,1
1,0,2,0,0,1,2,0,1,2,0,0,0,1,2,1,4,0,0,3,1,2,0,1,4,2,0,1,1,1,7,1,0,0,2,0,2,2,0,2,3,1,3,1,2,2,1,1,3,2,0,2,1,0,1,1,3,0,2,0,1,1,3,2,3,1,1,1,0,1,2,0,1,2,2,1,1,1,0,1,1,1,0,0,3,1,0,4,0,3,0,1,2,0,0,2,2,2,1,1,2,1,2,1,0,1,2,1,0,1,0,1,1,1,1,1,2,2,2,2,2,1,1,2,2,2,4,2,0,2,0,3,3,0,3,1,5,4,0,3,3,3,2,2,2,1,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,1,0,3,2,2,0,3,0,0,2,0,1,2,2,1,2,1,1,4,1,0,3,3,1,2,2,3,1,1,3,2,0,2,1,3,0,0,2,4,2,0,2,2,2,4,1,0,2,1,3,2,4,4,1,3,1,2,1,2,2,2,0,1,0,1,0,2,1,1,0,2,1,4,1,2,0,0,3,2,3,1,0,1,0,1,1,1,0,0,2,2,2,3,2
1,1,1,2,0,1,2,2,2,2,3,1,0,0,1,2,0,3,1,1,1,3,3,2,3,1,3,2,3,1,4,4,1,1,0,2,0,0,0,2,1,2,4,1,1,1,2,0,0,5,2,2,0,2,4,2,2,1,2,2,2,3,2,5,0,3,6,1,1,2,3,1,1,0,2,1,1,2,4,1,4,2,0,1,2,0,1,3,2,0,0,0,3,0,4,2,0,0,4,0,1,4,1,1,2,2,2,1,1,0,1,1,1,2,3,3,4,0,1,1,1,3,3,2,3,7,0,1,1,1,0,5,1,1,3,1,3,3,2,1,1,2,1,4,0,2,0,1,0,1,0,1,0,1,1,1,2,0,0,0,1,0,4,2,0,0,1,0,2,1,1,1,2,2,0,0,0,0,4,3,1,0,2,1,2,0,2,1,2,1,1,2,0,0,1,1,0,3,1,1,1,2,2,1,0,3,1,2,4,5,0,2,2,5,2,0,1,1,2,1,3,1,3,1,2,1,3,3,0,1,3,2,2,4,1,0,3,1,3,2,2,1,0,3,2,3,3,0,1,2,2,0,1,2,3,3
1,1,0,2,1,2,0,3,1,3,3,3,2,1,2,2,2,2,1,0,0,4,4,1,3,0,4,2,0,3,1,2,4,1,2,4,1,1,3,0,3,0,4,0,4,0,0,3,0,1,1,2,2,0,4,3,1,1,1,5,3,2,2,2,0,0,1,1,2,1,0,2,1,3,3,0,1,0,0,0,3,2,2,1,2,1,2,1,4,1,3,2,3,0,5,4,2,2,1,1,0,2,3,1,2,0,4,2,2,1,2,2,0,1,2,2,0,1,2,3,3,3,3,2,1,3,1,3,1,1,3,1,1,3,1,1,3,5,2,1,1,1,2,1,2,2,0,1,2,0,1,0,1,0,1,0,1,1,0,2,0,1,1,1,1,1,1,1,0,2,1,3,2,0,0,1,0,0,1,1,2,1,0,1,0,1,2,5,1,3,1,4,2,0,1,3,1,1,1,3,2,3,5,1,2,1,2,1,1,1,3,2,1,0,1,0,1,2,2,1,1,2,0,0,1,2,1,0,2,2,3,0,1,0,2,1,4,1,2,5,1,1,1,1,0,1,0,1,1,1,1,3,2,1,1,1
1,2,3,0,2,3,5,0,2,0,4,4,0,0,0,4,3,2,1,3,3,1,3,1,5,1,1,2,0,1,2,1,3,1,0,1,2,0,0,1,2,2,4,2,0,1,0,2,2,1,1,3,0,0,0,1,1,2,2,1,1,1,5,0,0,0,1,2,1,0,2,4,3,3,3,1,0,0,0,2,4,0,3,0,1,0,1,3,1,4,1,0,1,0,0,1,2,1,1,3,3,2,1,1,5,3,4,1,2,1,1,0,0,2,1,0,2,2,1,0,0,2,1,6,0,3,3,2,1,0,0,0,1,1,4,2,2,5,6,2,2,3,1,1,2,2,0,1,1,0,2,2,0,2,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,1,0,0,2,2,0,1,1,3,0,0,0,2,0,2,1,2,4,1,0,0,0,0,0,2,1,2,0,2,3,3,0,0,1,3,2,0,1,4,0,2,2,1,1,1,2,2,1,3,2,2,1,3,3,1,1,3,0,1,0,2,2,1,2,2,1,2,0,1,1,2,1,0,3,3,1,1,0,0,2,1,1,1
1,1,1,2,0,3,1,0,4,2,4,2,1,3,0,0,1,0,1,2,2,2,1,1,1,1,0,1,0,0,2,1,5,3,1,3,0,0,0,0,2,2,1,0,2,1,1,1,0,0,1,0,0,3,1,2,2,1,0,1,0,3,3,2,1,2,2,2,1,1,2,2,2,1,0,1,3,0,0,1,2,0,2,3,2,0,1,0,2,1,0,2,3,0,2,2,1,2,3,0,0,1,1,0,2,1,1,2,0,0,1,0,3,3,0,0,0,0,1,1,1,3,1,0,1,1,1,2,2,2,1,2,3,1,3,1,0,3,0,1,1,2,0,3,0,1,1,0,1,3,0,1,1,1,0,0,0,1,0,1,1,1,2,4,1,0,2,2,2,2,0,2,0,2,3,0,3,1,1,1,0,0,2,2,4,4,4,0,0,1,0,1,4,2,1,3,1,1,1,2,1,0,1,2,1,0,0,1,4,2,0,2,0,4,0,2,2,3,1,4,1,2,4,1,2,0,3,0,1,3,0,1,1,2,2,4,2,2,4,2,1,2,0,0,3,1,0,2,0,0,3,0,3,1,1,2
5,2,2,0,1,1,2,2,3,1,2,1,0,1,2,0,2,2,1,0,4,2,1,1,6,2,0,3,2,1,0,1,2,1,2,3,0,3,0,1,1,1,1,2,3,2,2,4,2,2,3,1,1,0,0,1,3,2,2,3,2,1,2,1,1,1,4,0,0,1,5,1,1,1,1,2,1,1,2,0,0,0,0,1,1,1,3,0,0,4,1,3,4,3,5,2,3,1,1,1,5,3,2,3,1,4,2,1,3,1,1,0,2,1,2,1,1,0,2,2,1,1,3,1,0,0,2,0,2,1,0,3,0,3,1,2,3,3,6,3,0,2,2,2,3,1,2,2,1,0,0,1,0,0,0,0,1,0,1,2,0,0,1,0,2,0,0,1,0,1,1,2,1,3,2,0,1,3,1,2,0,1,0,0,2,2,3,3,1,3,0,1,2,3,1,0,0,1,3,0,4,3,3,1,1,2,0,2,2,1,2,2,0,3,2,2,2,2,2,3,3,1,3,1,0,0,2,3,1,2,2,0,1,1,3,0,1,2,0,2,2,3,5,1,1,2,2,1,2,0,1,4,2,0,0,1
2,1,2,0,1,0,0,6,1,0,2,0,2,0,1,0,0,2,3,0,1,0,1,0,4,1,3,0,2,5,1,1,3,2,0,1,0,3,0,1,0,0,1,3,2,0,1,2,2,0,0,0,3,0,2,0,3,2,0,2,0,0,0,0,2,0,2,3,2,1,3,2,2,2,1,0,4,1,2,0,0,2,4,1,1,0,0,2,1,1,0,0,0,2,1,4,4,0,2,2,0,1,1,1,2,1,1,0,3,1,3,0,2,2,4,3,1,2,4,1,4,1,1,1,0,0,2,1,0,0,0,0,2,1,3,3,2,4,2,0,0,1,2,0,1,2,0,1,0,2,0,0,1,0,0,0,1,0,2,1,0,1,0,1,2,0,1,1,1,2,1,3,1,1,1,2,1,2,1,1,0,1,0,0,1,0,3,3,1,0,1,1,1,4,1,2,1,2,0,2,1,4,1,2,0,1,0,1,1,2,0,0,2,1,2,4,1,2,0,1,4,1,3,3,0,0,5,2,1,1,1,0,2,0,1,0,1,2,2,1,0,0,2,1,1,1,0,0,2,0,0,0,1,2,2,2
1,2,1,3,0,1,2,1,1,2,1,1,1,1,1,1,2,1,6,1,0,2,0,3,2,2,0,3,1,0,0,2,2,1,1,3,1,4,3,1,2,1,3,4,1,3,0,3,1,4,4,3,0,1,0,1,1,1,1,2,4,0,1,1,3,2,1,0,1,1,0,3,2,4,3,2,3,2,2,3,3,3,0,4,0,0,2,2,2,3,1,2,1,0,1,4,2,1,1,1,2,2,1,0,0,1,2,1,3,2,5,2,1,3,1,1,1,1,0,1,4,2,1,1,1,4,2,0,0,4,2,0,2,0,3,0,3,2,1,5,2,1,1,1,0,2,0,0,0,1,0,1,0,1,3,1,1,1,1,1,1,1,0,0,1,0,2,0,0,4,0,0,0,1,1,2,1,4,0,0,2,3,1,0,1,1,4,0,1,2,1,1,1,1,2,0,0,0,2,2,2,1,1,0,0,3,2,3,0,3,1,1,0,3,2,0,0,1,1,2,0,0,0,2,2,6,3,3,5,0,0,2,1,0,0,0,1,1,3,1,3,0,1,0,2,1,1,0,0,0,2,0,0,2,1,3
2,2,0,1,4,1,2,1,2,1,2,0,0,2,0,0,2,1,0,0,2,2,0,1,3,0,4,1,3,0,1,0,2,1,1,0,2,0,3,1,2,2,1,1,0,2,5,2,3,5,2,2,0,0,0,1,1,4,6,3,1,2,0,2,1,2,0,0,2,3,1,0,1,1,0,1,3,1,3,0,4,0,2,1,2,1,1,0,2,6,0,0,2,2,0,1,2,5,3,2,3,2,0,3,0,1,2,2,2,3,1,0,4,3,1,0,1,1,2,1,0,1,1,1,2,2,0,0,2,2,3,1,2,2,3,2,1,0,2,2,3,3,2,3,2,1,1,0,1,1,0,0,1,1,2,0,1,1,3,2,2,0,0,1,1,3,0,3,0,1,3,3,0,1,2,2,1,1,2,1,0,1,1,2,4,0,3,1,0,0,3,2,1,3,3,3,1,1,1,1,0,2,2,2,2,0,0,1,3,2,0,3,1,0,3,2,0,1,1,1,2,1,3,3,2,1,1,0,1,0,3,2,5,1,1,0,3,0,2,2,2,2,1,1,1,1,2,0,6,1,1,0,3,1,2,2
2,2,2,0,0,2,3,2,1,1,4,1,2,2,4,3,2,2,3,3,0,0,1,0,0,0,0,2,0,1,0,4,1,0,1,2,0,3,3,2,3,0,0,2,0,2,3,1,1,1,2,1,1,3,0,3,1,0,3,1,1,1,0,0,1,2,2,1,1,3,1,0,0,0,0,0,2,1,2,3,1,2,0,0,0,0,1,5,3,1,2,0,1,2,1,2,2,2,1,0,0,2,2,1,2,1,1,0,3,0,1,1,1,3,1,2,2,2,0,1,2,2,0,1,2,1,1,1,1,1,2,1,0,0,1,1,2,2,1,1,3,3,1,1,2,2,0,0,0,1,1,2,1,4,2,2,0,2,0,2,5,0,3,2,1,2,4,1,1,5,0,1,1,1,1,0,1,1,2,2,1,1,3,1,3,0,1,1,2,0,2,0,1,1,1,1,4,1,3,1,5,1,1,1,0,1,0,0,0,0,0,0,2,1,4,0,1,2,0,0,1,3,1,3,2,0,0,0,2,2,3,0,2,1,2,1,2,3,0,1,1,2,0,1,1,1,3,0,2,2,2,1,1,3,1,2
0,1,0,1,2,2,1,4,3,3,0,2,3,1,1,1,0,2,1,1,2,3,1,5,5,2,0,1,1,1,3,0,2,0,1,2,3,2,5,1,1,2,2,1,2,2,1,1,3,0,0,1,1,2,2,2,2,1,0,0,1,2,1,0,2,0,1,1,0,3,1,1,1,1,1,1,1,3,2,3,0,1,1,2,2,2,3,3,1,1,3,2,1,3,1,0,2,2,1,0,2,1,2,1,1,1,0,1,1,0,3,1,1,2,3,3,2,2,1,6,0,2,1,1,2,3,2,2,0,0,0,1,2,0,1,2,2,1,2,4,2,0,4,1,4,0,0,1,0,1,1,0,1,0,1,1,1,2,2,0,0,1,0,3,1,3,1,0,2,1,3,1,2,2,0,0,0,2,2,3,1,3,0,0,1,2,1,0,0,2,2,3,4,2,1,2,5,3,2,1,7,0,0,1,0,2,1,3,2,2,0,1,2,1,4,1,2,1,0,3,3,1,4,0,2,1,0,3,2,1,2,2,2,1,1,0,1,1,3,1,2,0,2,0,3,0,2,0,1,3,1,1,3,3,1,2
1,1,1,3,0,2,2,3,2,2,3,3,0,2,0,3,1,0,1,2,5,0,1,0,0,0,2,0,1,0,1,2,2,2,1,3,3,0,2,1,3,4,4,1,1,2,1,3,4,2,0,4,2,3,0,1,0,0,0,2,1,1,1,2,3,1,3,1,2,1,1,0,1,2,3,0,0,1,1,0,0,3,2,0,2,1,1,0,1,0,2,1,1,5,1,1,3,2,0,2,1,0,1,1,0,1,1,3,3,3,0,0,0,0,1,0,1,0,1,2,4,1,2,2,2,4,2,0,0,1,0,3,2,0,0,1,0,3,2,7,3,2,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0,0,1,2,2,0,0,0,2,2,0,0,2,3,2,1,5,3,0,1,3,0,0,2,2,4,0,1,3,1,0,2,3,2,1,1,1,0,4,2,0,0,2,0,0,3,0,2,2,2,0,0,1,1,0,0,1,0,1,1,1,2,2,2,0,0,1,2,0,1,2,0,1,3,1,0,4,0,1,3,1,0,1,4,1,1,1,2,0,2,2,2,2,1,3,0,2,5,0,1
2,2,3,2,1,0,2,3,2,3,0,3,1,0,1,2,1,1,1,0,1,2,3,3,1,0,2,1,3,1,2,1,0,0,0,2,1,0,1,1,1,1,0,2,2,0,0,0,1,1,1,3,0,2,0,3,1,2,0,1,0,1,1,0,2,2,0,0,3,0,1,1,1,1,1,0,0,3,3,0,3,2,1,2,1,2,0,1,2,3,1,3,2,0,1,1,2,2,2,0,1,0,1,1,1,1,0,2,2,2,1,0,0,1,1,2,0,1,1,0,3,3,0,1,2,1,0,0,1,1,1,1,2,1,1,5,0,1,4,2,3,0,1,0,0,1,0,2,2,0,2,0,0,1,3,0,0,2,0,0,0,3,1,0,0,1,1,1,4,0,2,2,2,2,3,1,1,0,2,2,0,2,3,2,3,0,2,2,3,1,0,1,1,1,2,0,1,0,4,5,3,0,0,1,2,0,2,2,0,0,2,3,0,2,0,1,3,0,0,0,1,2,1,1,0,1,0,2,1,0,1,3,3,2,0,5,3,2,0,2,2,3,2,0,2,0,2,0,0,1,0,3,2,1,2,1
3,2,1,0,1,0,2,1,2,1,0,2,3,0,0,1,2,2,1,0,2,0,0,0,1,4,1,1,3,1,1,0,2,1,0,0,1,0,1,4,1,0,0,1,2,0,1,1,1,2,3,1,0,4,3,1,1,0,1,0,4,2,1,1,3,0,1,1,0,2,1,3,1,1,0,1,1,2,1,0,0,3,1,1,3,2,0,0,0,0,0,1,0,0,1,1,1,3,1,1,1,1,3,2,1,1,0,1,2,4,1,2,1,0,0,0,2,2,1,3,2,2,0,2,2,0,1,1,1,1,0,0,1,2,4,2,3,2,0,3,2,1,0,1,3,1,4,2,0,0,2,2,0,2,2,1,2,1,1,2,0,1,2,2,5,2,1,1,1,2,2,1,2,1,1,2,1,0,0,2,0,1,1,0,1,4,0,2,0,4,2,1,1,0,1,0,2,0,0,1,0,0,1,0,2,1,0,0,1,0,2,1,1,7,1,3,1,0,1,1,3,0,0,2,2,3,1,0,1,1,0,3,1,1,0,1,4,2,1,2,2,4,1,0,3,0,3,2,2,3,0,4,1,1,2,0
1,1,3,1,3,2,1,2,1,1,2,0,5,1,0,5,1,1,0,1,0,2,0,1,1,0,1,2,3,0,0,2,2,2,2,1,1,0,1,2,0,1,2,2,1,0,0,2,4,0,2,2,0,2,1,2,0,0,1,3,0,3,1,1,1,4,2,0,0,1,1,2,2,3,1,1,0,0,0,2,1,0,1,3,1,1,2,3,1,3,1,1,0,3,1,1,1,2,3,3,1,0,1,2,1,0,1,4,1,2,2,1,2,1,1,4,0,0,1,0,1,1,3,0,1,0,1,0,1,3,0,2,0,2,0,2,2,2,0,4,3,1,2,0,2,6,0,1,1,4,3,2,2,2,1,1,1,0,3,0,5,1,1,0,2,2,3,2,0,3,2,2,1,2,0,1,2,0,1,0,2,1,1,4,2,1,3,1,1,2,2,2,4,2,1,1,3,2,4,1,3,1,0,0,0,2,1,0,1,1,1,1,2,1,0,0,1,2,0,3,1,3,0,3,0,1,1,3,0,3,2,2,0,0,2,1,2,1,0,1,5,0,2,1,3,1,0,1,2,1,1,1,1,2,3,0
1,2,0,1,0,0,3,0,0,1,2,2,0,4,2,0,2,2,3,2,0,1,2,1,1,2,2,1,0,0,1,0,3,2,1,0,0,1,1,1,1,1,2,1,3,3,2,3,0,4,1,0,1,1,1,0,3,1,1,0,1,0,1,5,2,3,2,0,3,1,6,2,2,0,4,1,1,1,0,0,1,2,5,2,0,1,2,1,1,1,0,3,2,0,0,4,2,0,0,2,2,1,1,0,2,0,0,0,2,2,2,2,0,0,1,1,1,2,0,1,2,4,2,2,1,2,3,2,1,3,4,1,3,1,1,1,1,2,1,2,1,3,1,0,1,2,0,0,0,0,0,1,1,0,0,3,3,3,2,0,0,2,1,2,3,2,0,1,1,1,2,0,1,2,2,2,1,3,0,1,2,2,2,1,4,3,5,3,2,1,3,1,1,1,3,1,0,0,0,3,1,0,3,1,2,2,2,2,1,0,2,0,1,1,0,0,0,1,1,0,2,0,1,2,0,1,4,1,4,2,2,1,0,0,3,3,3,0,2,1,1,3,0,1,1,1,4,0,1,3,1,1,4,2,2,0
1,2,2,1,2,2,2,0,3,2,1,0,2,1,1,1,3,2,1,3,1,2,2,1,0,6,2,1,2,2,1,1,2,2,3,0,1,1,0,2,1,2,2,0,1,0,1,1,1,1,0,2,0,1,4,0,1,3,1,0,1,1,1,4,3,1,1,4,3,1,2,2,2,2,0,1,2,0,0,2,1,0,1,2,2,1,3,2,5,0,1,0,0,0,3,1,1,2,0,4,0,0,1,4,2,1,1,4,0,0,2,0,3,0,0,0,1,4,2,2,3,2,1,4,0,3,1,0,1,4,2,0,0,3,0,0,4,1,0,0,4,1,0,1,1,1,0,2,1,0,1,3,0,3,1,1,0,3,2,1,1,1,2,1,0,1,1,0,0,4,2,1,2,1,0,2,2,2,2,0,1,4,5,3,1,1,0,1,4,1,1,4,1,1,0,1,2,2,2,1,2,0,0,1,1,3,0,0,1,1,1,0,4,3,3,4,0,3,0,0,0,3,3,1,3,3,0,3,2,3,1,0,0,0,2,1,2,0,4,2,0,2,3,1,1,3,1,0,0,0,1,0,0,2,2,3
2,2,3,2,1,0,0,0,1,2,2,0,2,4,3,2,2,1,1,1,3,1,3,1,2,0,0,1,2,4,0,1,3,1,2,1,3,3,2,2,0,0,1,2,1,1,1,0,2,0,2,2,1,2,1,3,2,1,1,2,1,2,0,1,1,0,4,3,1,0,2,2,0,1,0,3,2,2,1,2,0,0,1,1,2,2,1,1,0,1,2,4,2,0,1,1,2,0,2,1,1,0,1,2,1,4,0,0,0,2,0,1,0,1,3,1,0,1,1,2,2,2,1,1,3,1,1,3,5,1,0,2,3,2,1,2,3,5,1,1,2,0,2,0,1,2,1,2,0,0,2,2,0,0,1,2,3,1,1,0,1,1,0,0,0,1,2,1,2,0,1,1,3,0,2,0,1,0,1,1,1,0,2,3,1,2,1,2,2,2,2,3,1,2,3,2,2,2,1,2,1,2,4,1,0,2,0,0,5,2,4,0,1,2,4,1,0,1,0,3,1,3,1,1,2,3,1,3,1,0,0,2,1,4,1,1,1,0,0,1,0,4,0,1,0,1,3,3,0,0,1,1,2,1,1,1
0,3,1,1,0,1,2,2,1,1,0,0,1,0,1,4,2,3,1,0,4,1,1,3,1,1,2,2,1,0,1,0,3,2,2,1,1,2,1,1,1,1,3,1,2,2,4,2,0,0,2,1,1,2,1,1,2,2,0,0,2,2,0,2,1,1,0,0,1,1,2,3,0,2,1,1,1,3,1,2,5,2,3,1,1,2,3,1,0,3,0,1,0,0,0,0,1,0,1,2,1,3,1,2,3,2,3,0,0,2,1,1,3,1,1,0,2,1,3,1,3,2,2,1,5,3,0,2,3,1,2,1,0,1,4,1,2,0,0,6,1,0,3,0,0,0,2,0,3,2,1,0,1,2,0,1,2,1,0,2,2,4,2,0,0,2,2,0,1,1,1,1,0,3,3,3,1,3,3,1,1,1,2,2,1,2,1,1,0,2,2,2,3,3,0,1,0,2,1,1,1,0,2,0,1,1,4,2,1,2,0,0,0,1,2,1,3,0,1,1,0,1,2,2,2,2,1,2,1,2,3,2,2,3,1,1,2,0,1,2,0,1,1,2,1,3,0,3,2,1,1,2,2,3,2,1
0,2,1,0,2,4,4,0,1,3,1,1,0,3,1,2,2,0,1,2,1,0,2,0,0,3,1,3,2,1,3,1,0,0,0,1,2,1,2,4,1,0,2,1,1,1,0,2,0,2,2,2,3,1,2,2,2,1,2,0,1,0,1,1,0,0,0,3,1,1,1,2,1,0,3,2,3,1,1,3,2,2,1,1,2,0,1,1,2,1,0,1,1,0,1,0,0,1,1,0,1,1,1,3,2,1,1,2,1,1,4,2,0,2,3,0,0,0,1,3,2,0,3,1,0,2,2,3,3,1,2,0,0,3,3,3,0,0,3,3,2,0,1,3,1,3,0,0,1,2,2,2,1,1,1,4,1,3,0,1,2,1,2,1,3,2,1,2,2,5,0,0,3,1,0,3,4,2,0,4,1,1,1,2,1,1,0,0,1,2,1,1,2,0,1,0,0,1,3,1,3,2,3,2,0,4,0,0,1,1,1,2,1,0,0,2,0,2,2,3,0,0,4,2,0,4,1,2,1,2,2,3,2,0,0,2,1,1,1,3,2,1,0,0,0,0,2,2,0,0,3,2,3,1,0,2
4,1,1,1,2,1,0,4,2,1,1,1,2,0,0,0,2,1,2,1,2,0,4,1,4,3,2,1,1,0,0,4,1,0,1,2,2,3,2,2,1,0,0,0,0,2,1,2,2,2,2,0,0,3,2,0,4,0,0,0,0,1,1,0,1,2,1,2,2,0,1,1,1,2,2,1,2,3,1,1,0,3,2,0,0,2,3,3,1,0,2,1,1,4,0,1,1,2,1,3,0,4,2,2,3,2,2,1,2,1,5,0,1,2,1,2,1,1,0,0,3,0,2,4,2,1,0,3,1,0,1,1,3,3,2,3,0,1,0,1,4,2,2,1,0,2,3,3,3,3,2,0,0,1,1,2,0,1,2,1,3,1,2,2,3,1,1,2,2,1,1,3,2,3,1,2,1,2,2,1,3,1,2,1,1,2,1,1,1,0,2,0,1,1,2,5,0,2,0,3,1,2,0,1,2,0,2,1,5,1,0,0,1,1,0,0,0,1,0,1,0,1,1,2,1,1,3,1,0,1,0,1,1,0,1,0,0,3,1,2,4,1,3,1,1,0,1,1,2,1,2,1,1,2,0,1
0,0,1,1,0,1,1,0,1,2,1,3,2,0,0,3,1,1,2,2,0,1,2,3,1,2,1,0,0,0,2,2,0,0,4,1,1,4,1,2,2,1,0,2,0,0,2,0,1,0,1,1,1,1,0,1,1,2,2,1,0,0,2,4,0,0,1,0,1,5,0,0,2,1,1,4,0,2,0,0,1,0,1,1,1,1,4,1,2,1,0,3,3,1,1,2,1,1,2,1,1,1,0,3,1,3,2,2,0,0,3,1,1,1,1,2,0,2,1,1,4,1,0,2,2,2,0,2,1,0,3,1,0,0,3,0,0,0,0,1,1,3,1,3,0,1,0,2,1,1,2,1,1,4,2,0,2,0,2,1,0,0,0,0,1,3,2,0,0,2,0,1,0,2,2,0,0,4,2,0,1,1,1,0,3,1,1,0,4,1,2,2,2,2,2,2,1,1,1,0,1,2,1,0,0,1,0,0,3,3,6,1,0,1,2,2,2,2,0,1,1,2,1,0,1,1,3,1,3,0,1,1,0,0,2,2,3,2,0,5,0,1,1,1,0,0,0,4,1,0,0,0,1,2,2,0
2,1,2,5,2,3,0,1,3,2,2,0,1,2,5,0,3,1,2,4,3,1,0,0,1,1,2,1,0,1,3,1,4,3,1,4,1,5,2,3,3,2,1,3,3,3,0,1,1,3,1,0,1,0,2,3,0,1,1,1,0,3,0,1,2,0,1,2,2,2,1,1,4,1,2,4,0,1,1,3,0,0,1,1,1,1,1,1,2,1,2,1,1,0,4,2,2,2,3,2,2,3,3,1,1,1,1,0,3,0,1,2,2,4,2,1,2,5,2,0,3,0,1,0,1,0,4,5,4,0,1,3,4,1,5,0,3,0,2,2,1,1,3,1,4,3,5,0,2,2,3,0,3,1,1,2,2,1,1,1,1,1,3,1,4,2,2,1,2,1,1,0,1,2,3,3,1,2,2,2,0,3,2,0,0,0,3,5,1,3,2,0,5,3,1,2,3,0,1,2,0,3,0,0,2,0,2,2,1,2,1,1,4,4,2,1,1,1,2,0,1,1,1,3,1,3,2,2,3,3,1,1,4,1,4,5,1,2,2,0,1,4,1,1,0,3,2,3,2,4,1,1,5,0,2,1
1,0,4,0,5,3,0,1,2,0,2,5,2,1,1,3,0,0,0,1,2,2,1,3,2,3,2,4,2,0,1,5,4,0,3,0,0,0,2,1,0,0,2,5,1,0,1,2,1,0,2,1,1,1,1,3,4,2,2,1,1,2,1,0,0,1,4,0,1,1,1,3,3,1,1,0,1,0,1,1,4,1,1,0,4,3,1,0,2,1,2,1,2,0,0,4,1,3,1,1,2,2,1,3,2,0,1,1,1,1,1,0,3,1,1,2,3,2,2,1,0,2,3,0,0,2,1,0,1,2,1,1,0,0,0,0,2,0,1,3,2,1,2,3,2,2,4,2,1,2,0,6,2,2,0,2,1,1,1,2,1,3,1,3,0,0,1,0,0,0,2,1,2,0,1,2,1,1,4,2,1,0,3,3,0,2,0,0,5,5,0,0,1,3,2,2,1,0,1,0,1,0,2,2,2,1,3,0,0,0,3,1,0,0,2,2,2,2,2,5,3,2,3,2,1,0,2,1,1,2,0,4,0,1,3,2,2,1,2,1,0,0,1,1,0,2,1,2,1,3,2,0,3,0,1,3
0,1,2,1,0,1,1,2,1,3,2,1,1,2,5,3,5,1,0,2,1,2,3,0,1,3,2,1,1,1,1,1,3,0,2,2,1,1,2,1,3,1,0,1,3,1,1,3,3,0,1,0,1,1,1,1,2,1,3,1,1,1,1,4,1,2,2,0,0,5,0,2,3,2,1,1,1,1,2,2,0,1,3,2,2,3,2,2,3,2,0,2,3,1,2,0,1,2,0,2,1,2,0,5,1,2,0,2,1,0,2,1,2,4,1,2,2,1,1,3,1,2,2,1,0,3,1,2,0,2,0,2,3,2,1,2,1,2,2,1,1,2,1,1,1,1,1,0,2,1,0,2,1,5,2,0,3,2,3,5,2,2,2,3,3,0,1,3,2,0,3,3,3,0,1,1,0,1,2,1,4,1,2,0,0,1,1,2,3,1,1,2,1,1,2,2,0,3,2,2,3,4,1,4,0,1,0,2,4,1,0,0,4,0,0,0,0,1,1,0,0,1,0,1,1,2,0,1,0,1,0,1,1,2,2,3,2,1,1,0,3,0,3,2,3,2,2,2,0,2,2,4,2,3,1,2
2,1,1,0,2,2,1,0,1,2,4,3,0,2,2,1,1,3,4,0,5,5,3,1,2,1,2,1,3,1,3,2,1,3,2,1,2,2,1,0,0,4,1,0,2,1,0,0,1,2,0,1,2,1,1,0,0,4,0,0,2,2,3,0,2,1,3,0,1,0,1,2,1,2,2,0,1,0,0,1,2,0,3,3,0,2,0,5,4,4,1,0,2,1,1,0,0,2,1,2,3,5,5,1,2,3,0,1,0,4,1,1,4,0,1,4,2,0,3,2,2,0,1,1,0,1,1,0,2,4,2,0,1,3,3,0,2,2,1,0,0,3,2,0,0,1,1,2,1,2,0,2,0,0,2,2,2,2,2,1,1,0,1,0,0,0,0,2,0,0,1,2,1,2,0,2,1,4,3,2,3,1,2,2,0,1,2,3,3,1,1,0,1,0,0,2,1,0,2,2,1,1,1,1,1,2,3,0,2,1,4,0,4,2,1,2,1,2,0,1,3,1,0,0,1,0,1,1,0,1,0,2,4,2,0,1,0,2,1,0,1,0,5,0,2,2,3,1,5,1,2,3,2,0,1,0
3,4,0,1,0,1,0,1,2,1,2,0,2,1,1,1,0,3,1,2,0,0,1,2,2,2,1,1,1,5,2,1,1,1,3,2,0,1,0,2,0,2,1,1,2,1,0,2,2,3,3,0,3,2,0,2,2,1,0,0,2,3,1,3,0,3,3,2,3,0,1,3,0,0,1,1,0,0,2,0,1,4,1,1,2,1,2,2,3,2,1,4,4,1,0,4,2,2,0,1,2,2,2,3,3,3,1,1,1,1,1,2,0,1,1,2,3,3,1,2,0,1,3,2,2,5,2,2,1,1,1,1,0,0,0,0,0,2,1,2,1,0,1,0,0,1,0,3,4,2,1,4,2,3,0,3,2,4,0,4,1,3,2,1,0,0,1,3,2,1,1,0,1,2,1,3,1,0,3,0,0,0,0,0,1,1,1,3,1,3,1,0,2,1,2,1,0,2,0,1,3,1,2,1,2,1,2,1,1,3,1,4,0,3,1,2,1,2,1,1,2,1,0,2,2,3,2,5,1,0,1,2,0,0,1,2,1,0,0,2,0,3,1,3,1,1,0,0,0,0,4,0,0,2,2,3
1,2,2,2,2,0,0,0,4,0,1,1,1,0,0,0,3,3,3,1,3,0,0,0,4,1,1,0,1,0,2,1,0,2,0,0,1,1,3,1,1,0,0,2,2,1,0,3,2,1,3,2,3,0,3,2,1,2,2,1,0,3,1,0,3,0,1,2,0,0,2,2,3,1,1,1,1,1,0,2,0,2,0,1,1,2,2,2,2,4,1,2,1,1,0,1,0,5,1,4,2,0,1,1,1,2,2,2,2,2,0,0,1,3,1,3,1,2,1,1,2,2,2,1,2,1,1,3,2,1,2,1,2,1,5,1,1,0,1,0,5,1,0,4,1,2,0,1,4,1,1,1,0,2,1,3,3,3,0,2,1,3,2,0,2,1,3,2,2,1,1,3,1,1,1,2,2,1,2,0,1,3,0,3,1,2,1,2,3,2,2,0,5,0,1,1,3,4,1,4,3,1,3,1,3,2,1,1,1,2,1,3,2,1,2,2,3,2,3,1,1,2,2,0,1,3,1,1,2,1,2,2,0,0,1,2,0,0,0,2,1,1,3,1,2,1,2,3,3,3,2,1,2,2,1,1
3,2,0,1,0,1,1,2,2,2,2,2,1,2,2,0,0,1,0,0,2,3,1,0,1,5,1,4,0,2,0,2,2,4,0,2,1,1,3,2,0,2,1,2,3,1,2,3,0,1,0,1,3,2,5,1,1,1,0,0,1,1,1,2,1,1,1,1,0,0,0,2,0,1,3,1,0,3,0,3,1,0,1,2,3,3,1,1,0,0,2,0,1,0,3,1,1,2,3,1,1,1,3,3,2,1,0,1,0,1,0,1,1,1,1,0,1,0,3,0,1,3,0,0,2,1,1,3,2,2,1,0,2,2,1,2,2,2,4,0,0,0,0,2,1,1,0,1,0,1,2,1,1,1,2,5,2,0,0,2,1,2,3,2,2,2,0,0,1,0,0,2,2,2,2,1,1,0,2,4,0,0,1,2,1,2,2,5,1,0,2,1,0,2,3,1,3,3,3,3,0,1,3,1,4,5,0,0,0,1,0,3,0,0,0,2,1,1,2,3,0,3,1,1,2,1,0,1,4,1,0,1,0,1,1,0,1,0,1,1,2,0,3,1,1,0,2,0,6,4,1,1,0,1,1,2
2,1,0,0,2,4,2,0,0,2,1,2,1,3,1,2,3,0,1,2,2,0,1,2,1,0,1,0,1,2,1,1,2,0,2,0,2,1,1,1,0,1,4,2,2,3,3,1,1,1,2,1,1,3,2,0,2,3,2,1,1,0,0,3,2,1,3,0,0,1,1,1,2,1,0,1,0,2,2,1,1,2,3,0,0,0,3,0,2,1,0,1,0,0,1,2,1,1,1,1,1,3,1,2,2,2,1,1,2,2,2,2,1,0,3,1,2,1,2,2,1,0,3,3,1,0,2,1,0,1,1,1,2,0,2,2,0,2,3,1,3,2,0,0,1,1,2,1,2,4,2,2,0,1,0,0,2,1,0,1,0,0,2,2,0,2,2,2,3,4,5,1,1,1,3,0,1,0,1,5,3,0,2,2,0,2,1,0,3,2,3,1,1,2,1,3,3,1,0,0,2,1,2,1,3,1,1,1,0,1,3,1,3,2,4,0,1,2,3,3,1,3,1,0,0,0,2,1,1,1,1,1,1,4,0,3,0,1,0,2,1,0,2,3,0,0,6,4,3,3,2,1,1,1,3,0
3,0,0,0,3,2,0,2,3,0,1,5,0,2,0,1,3,0,0,0,1,0,2,1,0,2,2,4,1,1,1,1,0,0,5,2,4,0,2,4,2,3,2,2,0,0,1,2,2,0,1,0,3,2,1,1,2,3,1,0,1,1,2,1,0,2,3,3,0,0,0,2,0,0,3,3,0,2,0,1,3,0,0,1,1,2,2,1,0,1,1,0,2,2,1,4,1,1,3,2,2,2,0,1,0,1,2,2,3,0,1,4,3,3,2,1,1,0,0,2,0,1,2,0,2,2,4,1,3,4,1,0,2,3,1,0,2,1,1,0,3,2,2,0,3,0,2,2,0,2,4,1,1,2,1,2,4,1,1,3,2,0,1,1,1,5,1,1,0,3,1,4,3,0,3,2,2,3,1,2,1,1,2,2,1,1,0,0,0,2,2,3,3,2,2,0,4,2,1,1,2,2,4,1,2,3,1,1,2,1,2,2,2,0,3,0,3,3,0,3,2,1,0,1,2,0,1,3,0,3,1,2,1,3,3,2,0,2,0,2,2,2,2,1,2,0,3,4,2,2,1,0,2,1,2,3
0,2,0,0,2,1,2,5,2,6,2,1,2,2,2,4,0,2,3,4,1,3,1,2,1,0,1,1,0,1,2,1,1,1,1,1,1,2,0,0,1,3,4,2,1,1,1,2,5,1,1,0,3,1,1,1,2,1,1,2,1,1,4,5,1,2,0,1,1,3,2,2,1,1,0,3,1,1,0,2,1,2,3,0,1,0,0,2,1,2,2,1,0,3,2,1,1,0,1,0,1,1,2,0,3,2,1,2,0,1,2,0,0,2,1,2,1,2,2,0,3,1,1,0,3,2,1,3,2,2,3,2,2,0,0,2,5,2,3,2,3,1,2,1,1,1,1,1,1,2,2,1,2,3,1,2,0,1,4,3,0,3,3,0,2,1,2,2,1,1,2,2,3,2,2,2,2,2,2,1,4,0,2,3,1,2,1,0,3,0,0,2,0,0,1,2,0,0,2,0,1,0,1,1,0,0,0,3,2,1,1,2,4,3,4,2,0,1,3,4,0,1,2,3,1,0,2,2,1,0,0,4,1,3,0,2,2,0,0,0,1,1,2,1,0,0,2,1,0,2,1,3,0,1,1,2
4,2,1,1,1,0,1,0,1,0,2,2,0,1,2,0,3,1,1,1,3,2,1,0,3,0,2,0,0,0,1,2,1,3,1,1,0,2,2,4,0,1,3,1,3,1,3,1,2,2,1,1,0,2,1,1,1,2,1,4,1,3,1,2,0,0,1,0,0,0,1,0,0,3,2,2,0,0,2,1,3,3,0,2,1,2,3,0,1,0,1,1,1,2,1,2,0,3,1,1,1,1,2,1,4,0,1,1,0,3,3,1,1,1,2,0,0,0,1,1,2,0,4,0,6,2,3,0,2,1,0,1,1,3,2,0,0,1,3,0,2,0,1,2,2,4,0,1,2,2,4,0,4,4,1,2,0,0,1,0,1,4,2,0,1,1,1,1,5,3,1,2,0,2,2,0,0,2,0,0,1,2,1,1,1,0,1,2,1,2,1,5,1,1,1,2,0,5,0,0,2,2,0,2,2,1,1,0,0,2,1,1,2,2,0,4,3,1,3,1,2,1,2,0,3,1,1,1,3,3,0,1,1,1,0,1,2,1,2,0,3,2,2,0,1,1,0,0,2,1,1,1,2,0,2,3
0,0,4,2,0,3,2,2,0,2,3,2,1,0,0,2,3,1,0,1,2,3,1,2,0,0,0,5,1,1,3,2,0,2,1,2,0,0,1,3,2,2,1,1,3,1,3,0,3,0,1,5,2,1,1,1,0,3,2,1,2,1,2,3,1,3,4,4,2,2,0,2,3,3,0,2,1,2,0,2,2,3,1,1,2,0,1,2,2,1,1,3,0,2,0,1,1,0,4,0,0,0,0,1,2,2,3,2,0,0,1,3,1,2,2,0,2,1,1,2,1,0,1,1,1,2,1,1,1,3,2,1,0,0,4,0,3,4,2,3,1,3,0,2,0,0,2,1,2,2,4,6,2,4,2,3,0,2,1,1,2,0,1,3,0,1,0,1,1,1,2,1,1,2,2,2,6,1,2,1,2,0,2,0,1,0,0,1,0,2,0,3,3,1,2,2,0,2,0,2,1,0,1,3,2,4,1,1,1,1,0,1,2,2,1,2,0,1,3,1,0,1,2,4,0,0,2,0,0,2,2,3,2,3,0,2,4,1,2,2,2,3,2,2,0,0,1,2,2,1,3,0,1,1,2,2
3,0,0,2,0,0,3,2,4,0,3,2,2,3,2,1,4,0,2,4,1,3,2,1,1,4,1,4,0,1,3,0,1,3,2,1,0,0,4,1,3,5,5,1,2,2,1,0,1,1,1,2,1,1,1,0,2,2,3,0,3,2,0,2,1,1,2,3,2,8,1,2,4,1,0,2,1,1,2,1,3,7,0,4,2,2,1,2,1,2,3,1,3,1,0,1,2,3,1,4,3,2,2,1,2,5,1,4,4,1,3,2,1,1,3,4,2,0,2,1,1,5,2,1,1,1,2,2,3,0,1,2,2,0,3,0,3,2,1,1,0,1,1,3,3,1,1,1,1,0,4,4,1,2,0,4,0,4,0,0,0,0,0,4,1,1,2,1,0,1,1,5,1,2,3,1,2,1,2,1,3,1,0,1,0,2,0,1,1,4,1,2,0,0,2,2,0,1,1,2,0,1,0,1,0,1,2,0,1,0,3,0,2,3,0,1,1,2,4,2,1,1,3,0,0,1,1,1,3,2,2,2,0,2,1,2,4,1,1,0,1,1,1,2,5,2,2,1,1,3,2,3,0,2,2,1
1,1,0,1,0,0,1,2,2,0,4,2,1,1,0,2,2,1,2,0,2,1,0,3,1,1,3,2,2,1,1,1,1,1,0,1,1,1,2,0,1,0,2,0,0,3,3,3,1,2,1,2,1,1,4,1,5,0,2,3,1,1,2,0,2,2,2,1,0,2,4,0,0,1,1,0,3,0,1,2,1,0,2,1,1,1,1,1,1,0,2,4,0,1,2,1,1,1,1,3,0,2,2,0,2,1,3,5,0,1,1,1,1,3,3,0,1,1,1,0,1,1,3,0,1,0,0,1,4,0,4,2,1,1,1,3,2,0,1,2,2,2,1,1,3,2,0,2,3,0,2,0,3,0,0,3,3,3,1,1,2,0,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,3,1,2,0,2,5,2,1,1,1,2,0,2,0,0,2,1,2,1,3,1,0,1,2,5,2,3,0,3,2,1,2,1,0,3,0,1,3,3,0,4,0,3,2,1,3,3,4,4,3,1,1,3,1,3,2,1,0,1,0,2,1,1,0,1,2,1,1,6,1,2,1,1,0,1,0,0,2,1
1,2,1,1,2,0,1,0,0,3,0,2,2,1,0,5,2,1,0,1,0,2,4,1,2,3,0,0,3,2,1,1,1,0,3,1,2,3,2,0,4,1,3,1,0,3,2,3,1,1,1,1,0,1,1,1,1,1,0,4,2,0,1,1,0,0,0,2,3,0,1,3,0,1,1,1,1,0,0,0,1,1,3,5,0,4,0,1,3,4,3,1,3,2,0,1,1,0,3,3,1,0,2,3,3,3,1,2,2,1,2,1,3,5,1,0,3,4,0,1,0,2,1,0,1,3,0,0,0,1,2,1,2,2,2,0,0,1,2,1,3,3,2,0,1,3,1,0,6,0,2,1,0,1,2,1,3,2,1,0,1,3,4,0,2,0,0,2,2,0,0,1,1,1,0,2,1,1,1,2,0,1,1,1,1,2,2,4,1,4,4,1,1,4,3,1,1,2,3,2,2,0,1,2,1,1,0,3,1,2,0,2,2,1,2,1,4,0,1,2,0,1,2,2,1,0,0,1,1,1,3,0,1,1,2,5,0,3,3,2,1,3,0,1,1,1,1,1,3,1,2,2,2,1,2,1
2,1,4,2,1,1,1,1,2,1,1,5,0,2,0,1,2,2,3,1,2,2,0,3,2,0,2,1,4,1,1,4,2,2,5,2,1,0,1,1,2,2,1,3,1,2,1,3,0,3,2,1,1,2,2,3,1,2,1,2,3,1,1,4,0,2,0,3,2,1,1,1,0,2,0,1,0,2,1,1,2,1,1,4,4,3,4,2,1,2,2,1,2,0,1,0,1,0,3,0,1,2,2,2,1,3,1,1,0,4,1,4,1,2,0,1,3,4,2,0,3,1,1,3,2,1,2,0,0,1,1,1,1,1,0,0,2,0,0,1,2,1,1,1,2,4,0,4,1,2,0,4,3,0,1,1,1,0,0,0,0,1,1,1,2,0,0,1,3,0,2,3,1,1,2,1,0,2,2,2,3,3,2,1,1,1,0,1,3,4,1,3,4,2,2,2,3,5,0,4,2,1,1,0,1,0,1,0,2,1,1,2,1,0,1,2,1,1,2,2,1,1,0,2,1,1,0,2,2,3,4,0,1,0,1,2,3,2,1,0,0,2,1,3,2,1,3,0,3,3,0,1,1,4,0,2
4,3,1,0,1,2,1,2,1,3,0,0,3,3,1,2,1,1,2,1,2,1,2,1,4,2,2,1,1,1,1,1,1,0,1,3,1,1,3,1,1,1,0,2,1,3,0,3,0,2,2,0,1,1,4,2,0,0,3,2,1,3,2,2,2,1,0,0,1,3,2,0,2,0,0,0,2,2,2,2,0,1,1,0,1,1,1,2,1,3,2,0,1,1,4,1,1,1,2,2,1,1,2,4,3,1,0,3,3,1,1,4,5,2,1,3,2,2,1,0,0,1,1,3,2,2,0,4,0,0,2,3,0,1,0,1,1,0,4,3,0,3,0,1,0,3,2,0,1,2,2,2,1,2,0,0,3,0,4,2,0,0,1,1,1,2,2,1,0,1,1,1,0,3,1,0,3,2,1,1,2,0,1,2,4,1,0,0,1,1,2,2,1,1,1,0,2,1,1,2,1,2,1,3,0,4,0,0,2,1,3,0,2,2,0,0,0,4,3,0,1,1,2,2,4,0,0,3,0,2,0,1,2,6,3,3,1,2,3,1,1,2,4,2,1,3,0,2,2,2,2,3,2,2,2,1
2,1,1,3,3,1,3,4,1,3,1,1,1,0,0,1,0,1,2,0,1,2,1,2,1,2,3,2,3,3,2,0,3,3,3,1,1,1,1,4,1,0,3,0,2,4,0,1,4,2,1,3,2,3,1,3,3,0,2,2,1,2,1,1,1,1,1,0,4,2,0,0,3,4,1,1,1,2,2,4,0,1,2,2,1,1,2,2,1,1,2,0,3,2,1,2,0,1,1,2,0,1,4,3,2,2,0,2,3,0,0,0,3,1,0,1,5,4,3,0,2,3,0,1,1,2,4,1,1,0,3,2,2,3,2,3,2,1,3,1,2,4,3,2,1,0,2,3,2,0,1,1,2,1,2,2,1,4,5,1,1,1,2,0,2,1,1,2,2,2,2,0,2,1,1,1,0,2,1,0,2,1,0,1,0,4,3,1,1,2,1,0,1,0,4,0,2,1,2,1,3,3,5,1,2,2,0,4,2,0,1,0,1,0,0,1,2,2,2,1,2,1,2,2,1,3,2,1,1,1,1,2,2,1,2,1,1,1,1,2,1,0,0,1,0,1,0,2,0,0,1,2,0,0,0,2
5,0,2,1,1,2,3,0,3,0,0,2,0,0,5,2,0,1,1,2,0,0,1,0,1,0,0,1,3,1,0,4,3,0,1,2,1,2,0,2,3,2,2,3,0,1,1,1,0,0,2,2,5,3,0,3,4,2,0,3,2,1,7,1,2,2,2,5,1,1,0,0,0,0,0,4,2,1,0,0,2,0,2,3,3,0,3,2,0,2,2,2,2,1,2,2,2,0,3,1,3,2,1,0,1,1,1,0,3,0,1,2,0,2,4,2,1,5,1,1,1,1,0,4,1,1,2,1,3,0,0,0,1,4,1,1,4,3,1,0,1,0,0,3,0,2,2,1,5,1,1,3,1,2,0,1,1,1,2,2,1,1,0,0,4,1,1,0,0,0,1,3,1,0,1,1,0,0,1,1,1,2,0,1,2,1,0,4,1,0,2,2,1,1,1,2,1,4,0,1,4,1,0,4,1,2,0,1,3,1,2,1,1,2,0,2,1,2,2,2,4,1,5,0,2,0,1,1,1,1,3,2,0,2,0,0,4,1,1,1,2,1,2,5,3,3,1,2,1,4,0,1,1,2,1,1
0,1,1,0,0,1,1,2,4,1,2,1,1,2,1,0,3,1,3,0,0,4,1,1,2,1,2,1,1,2,0,3,0,0,0,0,1,1,3,0,1,0,1,2,3,2,1,2,3,1,2,1,1,1,2,4,0,3,3,1,0,2,1,3,3,1,0,0,1,2,2,1,0,0,2,1,1,0,1,2,2,0,0,0,0,1,1,2,2,1,4,0,4,0,0,0,1,0,2,1,0,1,2,0,4,2,3,3,3,1,1,0,1,1,1,1,0,2,1,1,3,1,1,1,0,1,0,1,2,3,3,2,2,1,2,1,3,2,1,1,2,1,1,5,0,1,2,1,0,2,3,1,0,1,2,2,2,2,3,1,1,3,0,2,1,2,0,3,0,0,1,2,1,1,0,0,4,0,6,0,2,1,1,1,2,1,2,3,1,0,0,2,1,3,0,2,0,0,1,2,3,0,4,0,3,1,2,1,3,0,2,1,0,0,1,3,0,0,1,1,1,2,2,1,1,1,2,2,2,0,2,3,1,2,1,3,2,2,3,0,1,2,0,2,1,3,4,3,2,1,1,1,1,1,0,2
2,0,0,2,1,0,1,0,3,1,3,2,2,1,2,2,0,1,0,2,1,0,1,2,1,1,1,1,2,0,0,1,1,0,1,0,2,2,2,1,1,2,2,2,0,0,2,1,0,2,0,1,0,3,2,1,1,0,4,1,4,1,0,2,1,1,2,2,0,1,2,1,1,5,3,1,5,1,2,1,1,0,1,2,1,4,0,1,1,2,6,0,1,1,3,1,1,3,4,1,8,2,1,6,1,2,3,1,4,2,1,4,2,3,0,1,2,2,1,1,1,3,0,3,1,2,2,1,0,0,2,3,0,2,1,1,0,2,1,2,1,0,1,1,0,3,2,2,1,0,1,3,1,3,2,2,1,0,0,0,1,0,2,3,1,0,1,2,1,1,0,1,3,1,3,2,2,2,2,1,2,1,1,3,2,0,3,0,0,3,2,3,2,1,0,2,0,2,1,1,1,3,1,0,0,4,0,2,3,0,1,0,2,1,0,1,1,3,0,4,1,1,1,5,2,0,1,1,2,0,1,1,1,1,0,0,1,2,3,2,0,1,0,3,0,2,2,1,1,3,0,2,0,1,2,0
3,4,0,3,1,0,0,0,1,1,3,2,4,1,0,3,0,0,0,1,4,5,3,0,1,3,1,1,5,2,2,0,1,0,0,1,1,3,4,3,2,2,2,2,2,0,1,3,0,1,1,2,3,2,1,0,1,3,0,2,0,2,1,0,3,0,4,5,2,0,1,1,2,1,2,2,1,4,3,0,0,2,1,0,0,1,1,3,2,2,0,3,0,2,0,1,3,1,0,3,3,2,1,2,5,1,2,4,1,1,0,3,3,1,1,3,0,2,0,0,0,1,2,2,2,2,0,1,1,2,2,1,2,1,2,2,1,0,3,1,3,0,2,0,0,1,1,1,1,1,1,0,1,0,3,0,0,1,2,2,2,1,0,3,2,1,2,0,3,3,1,2,1,1,0,2,5,2,2,3,2,2,1,2,1,2,0,0,3,1,1,4,1,1,2,0,1,1,1,0,1,1,1,1,1,3,1,3,2,4,0,1,2,1,1,1,1,1,3,1,1,0,0,1,2,0,0,1,2,1,2,0,2,0,0,1,0,1,1,2,1,2,2,2,2,2,3,1,3,1,1,0,1,1,1,1
2,1,1,1,0,1,0,2,1,1,0,1,0,5,0,2,1,3,1,1,0,1,2,1,1,0,1,2,0,0,3,0,2,1,1,1,1,2,2,0,0,5,0,1,3,3,4,1,1,1,0,2,2,3,1,1,2,3,1,1,4,5,2,1,0,0,1,0,2,1,3,3,1,2,4,3,0,0,2,2,0,1,0,3,0,2,3,0,4,1,2,1,1,4,1,1,2,3,4,1,2,1,2,3,2,2,0,0,1,1,2,2,1,2,2,3,0,1,1,3,2,0,2,3,3,0,1,1,3,1,0,1,2,0,3,1,1,3,5,3,0,3,0,3,0,3,1,2,3,0,2,3,1,3,0,1,0,2,1,2,1,2,1,0,0,1,1,1,0,1,4,1,1,1,1,1,0,2,1,0,0,0,2,1,2,1,1,1,1,2,1,0,3,1,3,1,0,1,1,2,1,1,0,1,2,0,0,1,1,1,1,1,1,2,2,1,1,2,1,0,2,1,0,2,0,2,3,1,0,2,0,3,2,0,1,0,2,2,2,2,2,3,1,0,2,0,1,1,1,0,2,1,3,0,0,1
2,2,1,1,1,2,0,1,3,1,2,4,1,1,1,2,0,1,0,1,0,5,2,3,2,2,2,5,0,3,0,3,1,0,2,2,0,2,4,2,1,1,3,2,2,4,1,2,1,4,2,1,3,4,2,0,3,2,1,2,1,3,1,0,3,0,2,4,1,0,1,1,0,1,3,1,0,2,1,2,1,3,2,0,3,1,2,1,0,2,3,2,2,2,0,1,0,0,1,1,4,1,1,2,0,4,5,1,1,1,2,3,1,1,2,1,5,3,2,2,1,1,2,0,1,1,0,2,2,3,1,0,1,1,2,2,1,2,4,0,2,1,0,2,2,2,2,1,0,0,1,0,0,2,1,0,3,0,0,1,2,0,3,1,1,2,4,4,2,0,2,1,3,4,2,0,4,0,2,2,0,1,2,0,3,1,0,2,4,5,3,0,1,0,5,2,0,1,2,2,1,1,2,2,1,0,2,4,2,3,1,1,1,1,1,1,2,1,2,2,3,3,1,1,3,1,2,2,2,1,3,3,1,0,3,2,2,0,4,2,1,1,2,0,0,3,1,4,1,3,0,1,0,2,2,0
1,3,1,3,1,1,3,0,1,2,3,3,0,5,4,1,2,3,1,1,0,2,0,3,2,1,2,3,1,1,3,0,0,3,1,0,1,1,2,3,2,2,4,2,1,0,3,1,1,3,0,0,2,0,3,1,1,2,2,2,2,2,1,0,3,0,1,1,2,1,0,3,0,2,2,1,1,0,0,1,0,1,3,1,3,3,2,1,1,1,3,1,1,1,1,0,0,0,3,1,1,2,2,1,2,2,2,1,2,1,2,1,3,0,2,3,4,3,4,1,0,1,3,0,3,2,1,2,0,1,0,1,0,2,3,1,1,2,3,1,1,1,3,1,0,0,0,3,1,0,2,1,2,0,2,1,3,4,0,0,1,1,1,3,0,1,1,3,1,2,3,2,1,0,1,2,1,1,4,0,1,2,3,2,0,1,2,3,2,2,1,0,3,2,0,4,1,3,2,1,4,1,1,1,4,1,2,1,3,2,1,3,0,0,0,1,1,1,2,2,3,2,2,3,1,1,0,0,1,2,1,1,2,0,1,2,0,2,0,0,0,1,1,1,1,1,1,4,3,1,1,1,1,0,3,1
0,2,1,5,2,1,0,1,1,1,1,4,4,1,1,0,1,1,3,2,1,2,3,0,1,1,0,2,1,1,1,1,2,1,0,2,0,2,2,0,2,2,1,3,2,2,2,1,2,1,1,0,3,2,1,1,3,1,3,1,2,1,2,1,5,2,1,1,2,3,0,0,1,2,2,2,0,1,0,1,1,2,2,4,0,3,3,0,2,3,1,3,1,1,1,2,2,2,1,0,2,0,1,2,1,2,0,0,3,0,2,2,5,1,0,2,1,5,1,0,4,1,0,1,1,4,1,1,2,0,1,0,1,2,2,1,0,1,2,1,3,2,0,2,4,2,2,1,0,1,1,1,3,1,1,1,1,2,1,3,0,0,2,0,1,1,2,3,0,1,2,2,1,2,2,4,0,3,3,1,0,3,0,3,1,1,0,4,0,0,3,0,4,1,0,2,2,0,3,0,2,1,3,3,2,0,0,5,0,2,2,2,1,1,4,1,0,1,1,1,2,0,1,1,1,1,1,1,2,3,0,0,0,0,1,4,0,3,0,1,2,3,1,0,0,0,2,1,1,1,1,1,2,0,1,0
1,0,2,2,1,3,3,4,1,2,2,3,6,2,2,4,1,0,2,1,2,1,1,2,0,1,1,1,0,1,1,0,1,0,1,2,1,3,2,0,2,0,3,1,1,3,0,3,1,2,1,3,2,2,4,0,1,0,0,1,3,1,1,1,1,3,3,0,1,2,1,2,0,2,1,2,1,2,0,2,2,1,2,1,1,0,1,0,0,1,3,1,1,0,1,5,2,0,1,4,1,3,2,1,1,1,2,3,0,1,0,2,1,3,1,0,2,1,1,4,0,5,0,2,1,3,0,1,1,0,2,0,3,0,1,2,1,2,2,4,1,3,1,0,6,1,2,0,2,1,0,0,1,1,3,1,0,1,1,0,1,1,1,1,2,1,2,1,1,0,0,0,1,2,1,1,1,3,2,1,1,2,3,0,1,1,2,2,4,0,0,3,2,1,1,1,7,4,1,1,2,1,2,0,1,1,0,2,2,2,1,1,1,1,0,1,3,3,0,2,1,1,1,0,4,0,2,4,0,1,2,0,1,4,3,2,0,1,3,0,0,0,2,2,0,1,1,2,0,1,0,3,1,1,0,2
2,3,1,1,2,0,3,2,1,1,5,1,0,2,2,2,2,0,1,4,2,3,2,1,2,1,2,0,1,2,2,2,0,1,1,1,0,2,2,1,1,2,1,3,3,0,2,2,2,0,3,1,1,4,2,0,4,0,3,2,3,1,1,1,1,1,1,3,1,0,2,2,1,3,2,0,4,1,3,2,2,2,1,1,1,1,4,2,2,1,2,1,0,2,1,1,0,1,0,1,1,1,3,3,0,0,0,3,1,0,3,2,0,2,1,1,2,1,1,0,3,1,0,1,2,1,3,1,2,2,1,1,0,0,2,4,2,2,2,1,2,1,1,1,1,0,0,1,1,1,1,2,3,1,0,3,1,0,0,2,1,1,0,2,1,1,1,4,1,2,1,0,2,1,0,1,1,3,4,0,1,1,1,0,4,4,1,4,1,0,1,2,0,3,3,2,1,1,3,2,2,3,1,3,1,0,2,0,4,2,2,3,0,1,1,0,1,0,1,1,2,2,0,2,3,1,2,0,0,3,2,1,0,2,2,3,1,3,1,1,3,1,0,2,4,3,2,2,0,0,2,1,1,1,4,2
0,1,0,2,1,3,1,0,1,2,2,0,2,1,0,2,1,4,3,1,3,1,2,1,1,1,1,1,2,3,0,3,1,3,2,0,0,1,3,2,4,3,0,2,2,0,1,3,2,1,2,6,1,2,3,1,1,3,0,1,1,0,3,2,2,3,4,1,1,0,1,1,1,0,3,5,3,1,4,3,2,3,1,0,1,0,2,1,4,0,1,2,2,1,0,3,1,1,1,1,1,2,0,0,2,0,2,1,0,0,1,2,1,2,0,0,1,0,2,2,0,2,2,2,0,2,2,2,0,0,1,0,1,4,1,0,1,0,2,1,0,3,1,1,1,0,4,0,0,1,2,0,2,0,2,1,0,1,1,2,2,1,2,1,0,2,1,1,0,2,2,0,3,0,2,3,2,2,0,4,3,1,1,0,0,2,1,2,2,1,1,3,0,2,0,2,2,4,0,1,1,1,2,1,0,1,1,3,0,2,1,2,1,3,0,1,4,1,1,1,2,3,4,0,1,0,2,1,1,2,2,4,1,0,0,0,2,5,4,1,3,2,0,0,0,1,0,1,0,2,3,2,5,2,0,1
1,0,2,0,1,1,0,3,6,1,1,0,1,2,3,1,1,2,1,2,0,5,4,1,1,1,0,1,4,2,2,0,2,0,0,0,1,4,1,0,2,0,0,0,3,1,1,2,2,2,1,2,0,1,1,5,0,0,1,2,2,2,0,0,0,1,1,2,1,4,3,3,2,3,1,1,0,3,3,2,0,6,2,5,0,0,2,2,0,1,1,0,3,2,3,1,6,1,1,2,2,3,0,1,1,4,2,0,1,1,0,0,2,2,0,3,0,2,0,2,3,3,2,0,2,1,1,0,0,1,1,2,0,3,5,1,1,1,1,2,2,2,0,2,0,1,2,0,1,3,3,1,2,4,1,1,4,1,0,0,4,1,0,0,2,0,1,1,1,0,1,3,2,2,3,0,1,2,3,1,1,2,1,1,3,2,2,2,1,2,0,0,0,2,0,2,0,1,2,0,3,0,1,0,0,1,1,1,0,1,1,4,0,1,1,1,0,1,0,3,1,1,4,2,5,0,0,3,2,3,3,3,3,1,0,2,1,0,0,0,2,1,2,2,1,2,0,0,1,2,3,1,1,1,1,4
1,3,0,0,0,1,2,1,1,0,1,4,2,1,2,0,1,1,2,3,1,0,2,1,1,0,3,3,2,4,3,2,1,0,2,2,0,2,2,2,1,2,1,1,0,3,1,1,0,2,0,5,1,0,2,2,1,3,4,6,4,1,0,1,0,3,3,1,3,0,2,4,3,2,0,0,0,2,4,3,2,1,1,4,1,0,2,1,0,1,7,0,0,2,3,1,2,1,2,0,1,2,1,4,0,1,3,3,2,2,1,2,1,2,0,3,1,3,1,3,1,3,4,0,0,3,2,1,1,2,1,1,2,0,2,1,1,3,0,2,2,1,0,4,1,1,1,2,3,2,0,1,1,0,1,1,0,2,0,0,3,1,1,0,2,2,0,0,1,1,0,1,1,1,0,2,1,1,1,2,1,1,0,3,2,4,1,0,2,2,2,1,0,1,2,0,0,1,2,4,3,2,1,1,2,3,3,1,0,1,2,0,1,2,2,0,1,1,2,2,2,2,3,5,0,5,1,1,3,1,2,1,0,3,0,1,0,2,0,3,0,1,2,1,1,1,1,3,1,1,2,2,0,3,1,2
1,2,1,1,0,3,3,1,1,2,3,1,3,0,1,1,3,0,1,2,3,2,2,1,2,1,3,1,4,1,1,2,0,2,0,2,6,3,0,0,0,1,2,1,0,2,2,2,1,1,0,3,4,0,1,2,0,2,2,3,1,0,5,3,2,1,1,0,4,5,0,0,3,1,0,2,0,1,1,3,6,4,2,1,3,1,1,3,2,2,1,2,1,2,2,1,2,4,2,4,0,2,0,1,1,2,0,0,1,0,1,1,0,0,0,1,0,0,2,1,0,3,0,3,1,0,3,0,0,0,2,5,2,4,0,3,1,3,0,0,0,2,1,0,2,0,2,1,2,1,0,2,0,3,1,2,0,1,0,1,4,0,0,0,1,0,3,4,3,0,4,0,3,0,1,1,1,1,0,2,1,3,0,2,0,4,1,2,0,0,3,4,4,1,0,0,1,1,0,1,1,2,1,2,6,2,1,4,2,1,1,2,3,3,4,1,1,1,0,0,1,3,2,0,2,1,3,2,0,1,0,1,2,3,0,1,0,2,1,1,2,0,1,1,2,1,3,1,3,0,3,0,3,1,2,1
0,1,0,0,0,0,2,1,3,0,1,3,1,2,0,3,3,0,2,1,1,1,1,0,0,3,2,0,1,2,0,0,4,1,1,2,1,1,0,4,0,1,2,4,1,2,0,0,1,3,1,1,0,1,2,4,0,0,0,4,1,1,1,2,3,3,6,3,2,0,3,3,3,1,2,0,1,0,0,0,0,3,4,1,0,0,2,2,3,4,3,1,1,1,1,3,3,3,0,1,0,1,3,0,0,0,1,3,1,1,3,1,1,3,0,2,2,0,1,0,0,2,1,2,0,2,0,2,1,2,2,4,0,0,1,2,1,3,2,2,4,0,1,0,0,2,0,3,4,1,0,2,2,3,1,3,3,2,3,1,1,2,2,1,1,1,2,2,2,2,0,0,2,2,3,1,2,2,1,3,0,2,1,0,0,1,2,0,0,1,5,0,1,2,1,2,1,0,1,2,1,2,3,1,1,3,1,3,0,1,1,0,1,0,2,0,2,0,0,6,3,0,1,2,2,3,1,0,2,1,2,1,3,1,4,2,0,1,1,0,1,0,1,1,4,0,2,1,2,4,1,0,1,0,3,3
1,5,0,1,3,0,0,1,0,2,2,2,1,0,3,1,2,0,2,0,1,0,2,2,0,1,3,1,3,1,2,0,0,2,4,0,0,2,0,1,1,1,2,3,2,1,1,2,3,0,3,1,4,1,2,0,0,0,1,1,0,0,0,4,3,0,1,1,1,4,2,2,3,1,3,3,0,0,1,0,0,3,1,2,3,1,1,2,4,1,2,1,0,1,0,1,1,1,0,0,4,3,2,0,5,1,2,2,2,3,2,0,7,0,1,2,2,0,4,1,2,0,1,0,1,0,3,3,0,1,1,2,1,1,4,1,3,1,3,0,0,0,4,2,2,3,2,0,0,2,1,4,2,0,3,2,1,0,2,2,3,2,1,3,4,1,1,0,0,2,0,0,0,1,2,1,1,2,1,0,0,1,2,0,0,0,2,4,1,1,2,1,2,2,1,1,2,3,1,0,2,2,0,1,1,1,0,4,4,4,3,0,3,0,0,1,3,1,2,1,2,1,3,2,1,1,0,0,3,0,2,0,3,2,2,0,1,2,1,1,1,1,3,3,2,5,1,0,0,0,3,2,1,0,1,1
2,0,2,0,2,1,2,2,1,1,0,2,3,2,0,0,1,2,2,0,1,0,0,0,2,0,2,1,1,3,0,0,1,2,1,1,0,0,1,0,4,2,2,1,2,5,3,3,1,0,2,2,2,0,4,2,2,1,1,2,5,1,3,3,2,3,2,3,2,0,1,1,0,1,0,1,2,4,3,1,0,0,1,2,0,0,1,1,1,5,0,1,1,2,0,0,3,1,2,0,0,2,1,2,0,1,4,3,0,3,0,1,1,0,1,1,1,2,2,2,1,3,5,2,0,1,2,1,0,2,4,0,2,1,1,1,3,1,0,0,0,1,0,3,1,0,3,4,1,1,0,1,2,1,0,0,0,2,1,0,2,1,3,1,2,1,3,0,0,4,0,0,2,1,1,2,0,1,1,2,2,2,0,1,1,0,3,2,0,2,1,0,0,1,3,1,3,1,0,1,4,0,1,2,0,2,2,2,1,1,1,1,0,0,0,1,1,1,1,0,1,4,3,2,2,1,2,0,3,4,2,1,2,5,3,3,2,1,2,1,1,5,4,1,1,1,1,0,3,1,2,1,3,2,1,0
3,0,1,1,0,5,1,2,0,1,2,2,1,2,3,1,0,1,3,1,1,4,0,1,0,0,3,1,0,1,1,0,1,1,0,0,2,1,1,3,6,2,3,1,1,2,0,0,0,2,1,0,2,1,0,5,1,0,0,0,4,0,2,0,1,1,1,0,2,2,1,2,1,1,0,2,1,2,2,1,2,4,2,1,1,0,0,3,0,1,0,1,1,0,1,4,0,3,1,1,1,2,1,0,1,1,3,2,0,3,4,0,0,4,1,2,3,1,1,1,2,2,3,0,2,1,2,3,2,2,0,3,0,3,2,2,1,0,1,2,3,0,1,0,2,4,1,0,2,1,0,0,2,2,3,0,2,2,0,0,1,1,0,2,0,3,3,1,0,0,0,2,0,1,1,1,2,0,2,2,0,0,1,1,0,2,3,1,1,1,1,0,0,1,0,1,2,0,1,2,2,2,1,1,1,0,3,1,3,2,0,3,1,1,1,1,1,2,1,1,0,1,0,1,1,2,2,3,3,1,2,1,1,3,3,0,4,2,1,2,3,0,0,0,0,1,1,2,1,1,2,2,0,1,5,2
1,0,4,1,1,2,2,2,0,0,3,0,0,0,3,1,0,3,1,2,2,1,4,3,1,1,0,1,4,0,0,0,2,0,2,3,2,0,2,0,0,0,1,1,2,2,1,4,2,0,3,2,0,0,3,1,1,2,1,0,3,1,0,1,1,0,2,3,2,0,4,1,0,1,2,0,2,3,2,1,2,2,1,2,2,0,2,0,1,0,1,1,0,2,4,2,0,5,0,1,0,1,4,0,0,2,3,1,1,2,0,0,3,0,0,3,3,1,2,2,1,1,0,3,0,1,0,0,0,2,3,0,0,1,3,2,2,1,2,0,1,1,2,1,3,0,3,4,2,3,1,1,1,1,0,0,0,2,3,1,2,1,1,2,0,4,0,3,1,2,1,3,1,0,2,1,0,0,2,2,0,1,4,1,1,1,1,2,0,3,0,4,2,0,1,3,2,3,1,0,2,2,3,1,1,3,2,3,0,3,2,0,2,1,4,2,3,1,1,0,0,1,1,1,1,1,1,1,0,2,0,3,2,0,1,2,4,1,2,2,1,1,2,1,1,1,1,0,2,1,5,1,3,3,1,3
4,2,0,1,1,2,2,1,0,1,4,2,0,1,1,4,1,0,1,2,5,4,2,1,0,0,1,1,2,3,3,1,1,2,2,2,0,0,0,1,0,1,2,1,1,1,0,2,1,3,0,2,2,2,2,2,2,0,3,1,1,2,0,1,1,2,1,1,0,1,0,1,2,0,5,1,0,2,1,1,1,3,1,5,1,0,3,1,0,1,2,2,4,1,1,2,1,3,3,2,2,0,0,3,1,0,0,1,2,2,3,1,2,1,1,2,3,1,0,0,2,0,1,0,0,1,1,1,1,0,2,2,2,0,2,4,2,0,1,2,0,3,0,0,0,1,2,1,2,1,1,3,3,2,0,0,0,2,0,3,0,2,1,0,0,2,5,3,1,0,1,2,0,1,4,1,0,0,1,2,4,2,4,2,2,3,3,0,0,1,1,0,3,3,0,2,2,1,2,1,1,2,1,1,4,1,2,0,2,1,1,1,2,2,1,3,1,2,2,0,3,1,1,1,1,3,0,0,0,2,1,1,0,1,0,2,1,0,1,3,1,1,1,3,0,0,4,0,2,2,2,2,1,2,1,2
2,2,2,0,2,2,3,2,1,0,1,0,3,2,0,2,0,1,2,0,1,1,3,4,2,1,1,3,0,0,2,1,1,2,2,3,3,0,2,2,1,1,0,1,1,2,2,1,1,0,1,0,1,4,0,1,2,2,1,0,1,3,1,3,2,3,2,5,1,1,1,0,0,3,1,2,2,1,0,0,1,2,2,2,2,1,0,2,2,0,2,1,1,0,2,0,1,3,2,1,0,1,1,3,0,4,1,2,0,0,3,2,1,1,3,1,1,1,3,1,1,1,1,1,5,0,1,0,1,1,2,1,0,1,0,2,1,0,0,2,1,0,2,3,2,2,1,3,0,2,1,2,2,2,2,1,1,0,0,2,0,1,1,0,1,2,2,2,3,2,0,2,1,1,1,3,0,2,4,2,1,4,0,3,1,1,2,2,3,0,0,2,4,3,0,2,1,2,3,2,1,0,1,1,4,2,2,2,0,1,3,0,4,4,3,1,0,1,1,1,0,1,2,1,1,2,2,1,2,1,1,1,1,1,2,1,0,3,3,2,2,0,2,2,3,0,0,2,1,1,0,0,3,1,0,2
0,0,0,0,0,0,2,1,1,3,3,0,2,1,0,1,0,2,3,2,0,1,0,1,1,2,1,1,2,0,1,1,2,0,0,1,1,0,2,1,3,1,0,0,3,1,2,1,2,2,0,2,1,3,3,1,0,1,1,2,2,3,3,2,0,4,2,0,1,2,1,4,2,0,1,1,1,0,2,1,3,1,3,5,1,1,3,2,1,1,0,0,2,2,2,2,0,0,4,2,2,2,0,0,2,1,1,0,3,1,1,2,1,0,1,2,3,1,1,4,2,2,1,0,5,4,2,2,2,2,2,1,2,1,1,1,2,5,3,0,2,1,2,2,1,2,1,0,2,4,1,2,4,2,0,6,0,0,0,2,2,0,3,1,2,1,2,1,2,0,1,4,0,3,3,3,1,3,2,1,1,1,2,1,0,0,2,4,0,2,0,1,2,0,2,1,1,2,0,1,1,1,1,1,3,3,1,3,1,2,1,2,5,1,2,1,1,3,2,2,1,3,0,0,4,0,0,4,2,1,2,3,2,0,0,3,1,0,2,1,5,2,2,1,2,0,3,2,0,1,0,1,1,3,2,3
0,0,2,3,3,0,2,0,2,1,1,2,2,1,1,1,0,3,1,3,2,3,0,3,2,0,0,1,2,2,2,1,0,3,3,3,3,0,2,1,2,1,1,1,2,0,1,0,1,0,0,1,1,1,5,0,4,1,1,1,3,1,6,3,3,1,3,3,1,2,1,0,1,2,1,0,2,1,1,2,0,0,3,1,1,1,0,1,2,1,1,1,1,2,2,3,1,0,2,2,0,1,2,3,2,2,3,2,1,0,3,4,4,0,0,0,1,1,1,0,3,2,2,1,1,3,2,2,2,2,3,1,2,4,2,3,2,1,0,2,0,1,1,2,1,1,2,3,0,3,2,1,1,3,1,0,3,1,1,2,5,3,1,2,3,1,4,4,1,1,1,1,1,2,3,2,0,3,1,1,2,4,2,0,3,5,0,3,0,0,1,3,1,1,0,2,3,2,0,0,1,0,0,0,1,2,1,1,1,3,0,2,3,0,1,3,0,2,1,0,1,1,1,2,2,1,1,2,1,0,2,1,1,3,1,3,1,0,0,2,1,1,3,1,0,1,1,0,1,1,2,3,2,2,1,0
2,1,1,0,2,0,0,1,3,2,3,3,2,1,1,1,1,2,0,1,1,1,1,1,2,0,2,0,2,1,3,0,3,2,2,1,3,2,1,3,3,2,0,2,1,2,1,0,1,1,1,4,2,5,0,1,3,4,0,1,2,2,2,1,2,0,1,3,2,0,1,0,1,1,0,2,2,1,0,1,2,2,2,1,3,5,0,2,0,1,0,1,5,2,1,2,1,0,1,3,0,0,1,0,1,0,2,0,4,1,3,0,2,2,2,0,2,2,2,1,1,1,1,1,0,1,0,2,2,0,2,2,2,2,0,3,1,1,0,1,0,3,3,3,3,2,1,3,0,0,0,2,2,0,2,2,0,3,4,2,0,3,1,0,0,1,2,1,1,0,3,4,0,5,0,0,1,2,3,1,0,3,2,3,2,2,0,0,1,2,3,2,1,4,0,2,0,1,1,2,1,1,3,1,1,1,1,2,1,1,2,0,0,1,0,3,0,4,1,3,1,3,1,0,4,0,1,2,1,1,1,0,3,3,3,0,4,1,1,1,3,1,1,0,1,0,3,0,1,0,3,0,1,5,0,4
2,3,3,4,2,1,0,2,0,2,1,2,1,0,3,0,3,0,0,2,1,0,1,1,1,2,2,0,6,2,3,1,1,1,2,1,1,0,3,1,1,0,3,0,2,0,2,2,2,5,1,1,1,3,0,1,0,1,2,2,0,0,0,3,3,0,2,2,5,0,1,0,1,3,2,1,1,2,2,2,1,2,0,0,2,3,1,1,2,1,2,0,2,0,2,1,0,3,2,2,2,1,0,1,2,1,2,2,3,1,1,2,1,0,1,2,2,1,1,2,2,2,0,1,1,1,1,1,1,1,4,1,1,3,2,1,1,0,3,1,0,2,3,2,1,2,1,2,1,1,2,3,3,1,2,1,1,2,3,0,3,1,1,1,2,1,2,2,1,0,0,0,2,2,1,2,3,2,1,1,0,0,3,1,7,1,4,3,4,2,0,0,0,0,4,3,4,1,1,1,4,1,2,2,3,1,2,2,1,0,1,0,1,1,1,2,1,1,1,0,1,1,1,3,4,1,0,2,1,1,1,1,0,1,1,0,0,0,2,2,2,0,2,2,4,1,3,0,1,2,3,1,1,1,3,0
2,1,1,1,2,2,0,3,3,4,3,1,1,0,0,3,2,0,0,0,3,1,2,2,0,0,0,1,0,1,2,0,0,1,1,1,2,1,1,0,0,1,1,0,1,1,1,0,2,1,3,1,3,0,1,2,1,3,2,1,0,0,1,0,3,0,2,0,0,1,0,1,4,2,1,0,1,1,2,2,2,3,0,0,0,2,2,0,5,0,2,1,1,3,0,2,1,0,2,3,3,0,1,1,2,0,0,0,2,0,1,4,1,1,1,2,0,1,1,1,0,0,0,3,2,1,2,0,2,0,1,1,2,4,1,0,0,3,2,2,2,0,1,1,2,2,0,0,1,1,1,1,1,1,1,2,1,5,2,2,0,1,1,2,2,1,1,1,1,0,2,1,3,2,1,1,4,1,3,2,2,3,2,1,3,0,2,2,0,0,2,1,2,1,2,0,2,2,3,1,1,3,1,3,2,0,0,2,1,1,1,1,3,0,2,2,1,2,3,1,0,3,3,0,2,3,0,2,0,3,0,1,2,4,2,2,0,1,1,2,3,1,2,1,0,0,4,1,4,0,0,2,3,0,3,2
3,5,2,2,1,0,1,1,2,0,3,1,1,3,1,1,0,1,1,1,0,2,1,0,1,3,1,0,2,1,1,0,1,1,0,1,0,1,1,3,0,1,0,0,1,0,0,2,2,0,1,2,3,1,1,1,1,2,3,1,4,2,1,0,0,0,2,0,1,2,0,2,2,2,2,2,1,0,4,2,0,0,2,0,4,0,0,2,2,1,0,2,2,1,2,3,0,0,2,0,1,2,1,0,1,2,2,2,2,0,1,0,1,1,1,0,0,2,0,1,0,0,2,2,0,1,1,1,1,0,1,0,0,0,2,1,1,1,1,3,2,1,0,1,2,1,2,0,1,1,2,3,1,2,2,3,0,1,0,2,3,0,3,1,2,2,0,3,0,3,1,0,3,0,1,1,2,3,1,0,0,2,2,2,1,0,1,2,0,2,2,2,0,2,0,2,0,2,4,0,1,3,1,0,2,1,2,1,2,2,2,1,1,3,1,2,3,2,1,2,0,0,1,2,0,2,0,0,1,0,1,1,1,2,1,1,1,1,2,0,2,2,4,1,2,1,0,0,2,2,2,0,1,2,2,1
2,1,0,2,3,2,0,2,1,1,0,1,0,2,0,0,1,1,0,0,1,2,2,1,1,2,2,3,0,1,3,1,3,3,1,0,1,2,3,3,1,1,3,2,2,1,1,1,2,1,3,1,1,2,2,2,0,1,0,2,1,0,4,2,1,0,2,2,3,2,1,1,2,1,3,0,1,3,2,3,0,2,1,0,2,1,0,0,1,0,0,2,1,0,1,0,1,4,3,1,1,1,2,1,1,3,2,3,1,1,1,1,0,2,0,1,2,0,1,4,0,0,2,3,1,0,2,0,0,0,1,2,1,1,0,2,2,0,1,1,2,1,2,0,3,2,2,1,2,1,1,2,1,4,2,3,0,1,0,3,1,2,1,5,1,3,0,0,1,2,1,1,4,1,2,3,0,1,1,0,1,1,1,1,1,1,0,2,1,2,1,2,1,1,0,0,1,2,2,0,3,3,4,2,0,1,2,2,1,1,3,2,2,1,2,1,2,2,2,3,1,2,1,2,1,1,0,0,1,0,1,1,0,1,2,3,1,1,4,2,2,3,3,1,0,0,0,1,2,1,2,1,1,7,0,0
1,1,2,1,2,1,3,1,3,1,2,3,0,2,0,1,3,1,1,2,2,0,0,3,1,1,5,0,0,0,2,4,3,4,0,2,0,4,3,0,1,1,1,3,2,2,0,2,1,5,0,0,0,0,2,1,0,1,0,0,4,0,1,2,0,2,4,0,1,0,3,0,4,4,0,1,2,3,1,0,1,1,0,6,2,2,1,4,1,0,3,3,1,1,2,2,2,1,2,2,2,2,1,1,2,3,0,2,3,1,0,1,2,3,2,1,1,0,1,0,2,3,0,0,2,3,3,1,2,3,2,3,0,2,0,4,1,2,0,2,2,0,1,0,4,0,4,2,2,1,0,0,2,1,2,2,2,1,2,2,2,0,0,0,4,0,3,0,3,3,1,1,2,0,1,0,4,3,2,2,1,2,1,4,1,2,1,1,2,2,3,1,0,3,1,1,0,1,2,3,2,1,2,1,2,1,4,1,2,2,3,1,4,1,2,2,1,2,3,1,2,1,4,1,1,2,1,1,0,2,1,3,2,2,1,0,3,0,0,1,2,1,2,2,1,2,2,3,0,0,0,0,1,3,2,1
0,2,0,0,2,1,2,1,4,2,2,2,1,0,0,1,4,1,1,0,3,0,0,2,2,1,0,1,2,0,0,4,1,1,2,4,1,0,2,2,2,1,3,3,2,2,0,2,1,1,3,1,0,0,4,0,3,2,3,1,0,1,0,2,1,1,0,1,2,2,0,0,2,0,0,0,4,1,2,2,3,1,2,1,2,2,0,3,4,2,1,1,2,0,2,2,2,0,0,2,0,2,2,1,3,0,1,1,3,3,1,1,1,3,2,3,2,0,1,4,0,5,0,0,3,1,2,1,2,0,1,4,3,1,0,1,1,2,1,3,2,0,1,4,1,1,2,0,2,1,2,3,0,3,1,2,0,0,2,1,3,1,3,5,1,2,1,2,0,2,2,0,1,3,0,1,4,1,4,1,0,0,2,0,0,0,2,2,1,1,2,2,4,2,1,0,2,4,1,2,1,2,0,1,2,1,1,2,0,2,0,1,1,3,3,3,1,4,2,4,0,1,2,1,2,2,4,2,2,1,1,4,1,2,2,2,2,0,1,1,1,1,0,1,2,0,0,2,1,2,0,0,1,4,2,1
1 1 2 2 3 1 3 2 2 2 2 1 1 1 1 0 4 3 1 1 2 1 4 2 3 3 2 3 0 3 1 4 2 3 4 5 1 0 1 0 2 1 1 2 1 6 3 0 1 2 2 3 1 4 1 1 1 1 2 0 0 2 4 0 3 1 3 1 3 0 1 1 2 2 0 3 0 1 0 0 1 1 3 3 3 1 1 1 0 0 1 4 1 3 1 0 3 1 0 1 2 1 3 3 2 1 2 2 1 2 1 1 1 1 3 4 0 3 1 3 2 2 2 3 2 2 2 4 2 0 0 4 1 3 0 1 2 4 3 1 1 2 0 0 1 2 1 1 1 1 1 0 1 3 0 3 5 0 5 1 1 2 3 1 2 3 0 2 1 2 2 4 0 2 0 3 0 3 1 0 1 2 0 0 0 0 0 0 1 0 0 1 2 0 2 0 0 2 1 3 0 3 2 1 0 3 1 1 3 3 0 0 0 3 1 1 0 2 2 1 1 2 3 2 1 0 2 1 2 1 1 1 1 2 2 1 0 2 1 1 1 2 4 1 2 1 3 1 1 0 3 1 0 1 1 1 1
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45,80,79,54,37,65,71,58,76,71,69,69,66,70,68,84,75,68,69,66,70,74,58,56,63,63,60,62,64,56,41,74,97,48,64,71,67,65,65,60,54,59,89,86,66,81,86,76,59,57,65,49,51,80,95,63,66,69,70,69,69,58,69,87,80,87,88,82,76,76,76,73,73,75,53,62,60,63,66,66,67,75,64,44,85,71,71,71,70,62,63,76,65,76,72,44,36,36,64,49,60,66,84,71,96,98,82,54,67,70,75,68,66,63,73,78,73,76,75,74,61,102,107,97,86,77,82,60,46,44,70,85,81,85,85,91,81,81,71,75,75,80,100,107,91,92,86,77,79,81,76,75,78,87,89,118,113,108,107,92,88,87,90,84,82,78,84,94,100,55,58,82,81,79,49,56,71,76,89,92,80,70,57,82,78,80,80,99,102,85,78,83,56,78,77,82,74,63,65,62,71,96,86,75,77,82,105,72,75,80,76,73,70,73,74,71,73,73,75,59,75,105,85,66,78,73,68,64,69,63,62,58,69,67,69,57,58,70,75,76,65,61,67,79,71,69,70,67,65,64,52,50,92,75,64,60
89,68,66,82,77,72,60,64,74,67,70,67,65,69,77,39,70,90,74,75,74,78,71,61,62,63,64,59,62,69,67,72,53,38,69,63,65,72,69,68,73,72,69,54,63,69,69,82,100,104,102,87,58,58,60,69,78,85,100,44,55,64,61,61,53,51,79,75,85,77,69,74,73,71,76,80,75,59,53,64,66,66,62,72,65,64,72,64,63,63,63,66,70,69,75,61,73,58,66,64,68,70,74,46,60,62,54,104,96,61,55,74,71,73,92,99,54,65,66,70,73,68,64,63,86,111,101,83,76,84,76,58,56,57,72,78,73,88,84,81,79,73,76,85,76,74,95,112,70,58,63,72,86,81,83,85,89,85,81,85,101,107,107,88,83,91,90,86,85,92,90,92,100,95,54,80,76,77,75,89,87,88,110,76,56,75,80,73,74,73,88,84,80,86,88,84,55,57,56,70,74,69,72,72,90,85,93,81,91,83,78,64,55,73,75,78,78,78,76,77,79,67,62,74,91,83,85,72,62,61,61,66,67,64,68,69,80,79,72,40,47,58,52,76,66,68,74,69,68,69,69,68,55,53,50,78
56,65,77,78,78,79,74,90,72,73,91,91,83,71,77,72,65,64,54,55,69,64,55,67,68,77,83,75,73,68,61,64,62,70,81,93,61,45,50,70,57,64,71,87,72,76,71,76,67,66,67,68,87,109,87,60,75,73,71,70,77,78,76,78,53,75,82,60,67,63,72,66,74,72,62,67,60,61,52,66,65,49,50,61,70,65,65,66,66,69,64,62,62,68,69,59,62,72,65,77,91,78,68,67,83,45,49,66,64,86,87,89,63,61,56,71,63,89,73,69,78,82,75,77,80,75,72,95,86,77,78,89,87,84,83,79,81,79,51,35,40,43,46,62,80,88,85,86,74,82,82,85,86,83,89,86,89,85,84,82,85,83,84,89,95,100,88,84,83,87,94,83,89,45,67,93,84,78,88,59,54,73,76,79,84,91,54,79,80,77,75,74,72,87,83,80,82,73,71,86,75,72,81,82,79,70,71,91,99,85,72,68,66,83,59,63,72,76,77,77,77,70,70,73,71,72,67,81,73,66,66,64,63,69,73,70,69,69,70,66,70,80,84,79,44,59,70,72,75,72,69,56,59,58,58,53
77,71,64,90,93,78,75,69,68,47,52,61,61,76,106,112,94,84,44,58,68,72,68,53,77,56,57,55,58,59,84,69,74,64,41,59,69,94,108,88,47,67,51,72,68,71,72,75,73,79,73,71,75,70,66,79,100,96,61,69,60,67,61,55,65,65,62,63,59,61,79,84,71,66,67,72,56,54,54,52,53,58,53,71,59,54,50,59,65,66,66,69,71,62,72,73,68,68,62,63,71,61,95,83,75,77,78,79,64,64,63,76,92,92,71,41,71,73,72,78,62,79,78,81,82,79,82,72,86,99,95,86,80,76,84,81,76,74,85,78,84,85,86,86,87,57,53,63,71,82,82,85,88,81,82,86,87,95,83,104,113,86,89,91,85,90,93,97,107,88,85,89,87,87,72,47,60,104,116,93,96,95,103,78,78,84,86,82,55,63,76,82,65,75,72,70,66,79,94,90,83,77,82,56,56,76,85,77,67,71,61,83,81,63,70,67,71,59,73,77,80,67,74,72,72,57,71,76,88,80,73,73,71,74,74,73,72,70,72,70,69,75,72,68,77,83,95,94,53,38,66,59,61,57,58,59
85,58,70,76,70,75,91,81,77,67,79,64,73,70,64,62,64,56,68,74,58,48,54,52,89,60,63,66,64,65,63,57,83,75,81,46,65,67,64,60,78,103,88,66,66,67,69,68,69,73,77,76,79,78,76,76,67,66,58,105,91,89,74,70,53,58,65,64,66,70,65,63,59,51,74,87,89,79,77,61,61,63,53,56,69,61,65,70,80,69,64,58,67,72,74,73,72,77,71,76,73,72,65,62,73,78,75,74,57,56,86,87,73,65,83,113,91,38,56,87,67,69,108,84,81,84,83,85,81,75,72,87,99,97,83,78,85,75,84,80,90,106,97,96,91,89,87,86,91,86,70,58,62,73,78,75,84,82,84,84,87,85,85,89,85,93,91,93,87,109,86,76,84,67,65,77,94,63,44,51,81,74,78,86,90,96,82,71,79,94,58,66,77,68,75,70,77,78,80,69,62,72,101,80,78,87,59,58,69,79,71,72,78,100,90,81,62,66,73,72,53,62,71,73,88,69,71,86,60,58,73,89,98,85,71,77,66,68,65,69,73,63,69,74,73,66,69,72,78,70,74,45,64,63,59,57
70,85,77,78,53,61,56,51,51,62,72,77,66,48,72,70,63,78,64,68,68,73,83,85,60,64,65,68,67,63,62,63,61,66,88,83,44,67,69,69,64,67,60,77,83,88,82,79,79,66,60,56,62,80,80,76,74,74,78,67,63,59,60,58,66,74,105,114,104,73,60,70,68,66,68,59,66,75,64,86,79,75,69,63,69,66,66,73,71,76,81,82,75,67,48,62,63,77,81,82,85,77,74,74,61,67,77,89,66,79,73,49,65,74,75,71,65,102,104,80,49,55,75,82,81,81,78,83,85,80,84,79,78,77,82,80,83,85,83,81,81,81,79,81,80,85,100,85,80,77,82,84,82,84,94,95,74,67,69,70,72,89,97,87,84,118,86,81,94,87,97,102,95,100,94,81,85,93,87,94,95,63,72,66,69,71,80,103,99,86,81,83,85,87,69,66,76,86,80,94,77,63,78,72,71,71,84,81,86,54,50,64,72,76,71,63,76,84,85,69,70,77,71,66,59,72,76,84,65,68,68,71,51,48,79,69,74,66,70,66,105,84,79,75,70,70,76,69,76,76,75,76,89,86,62,83
67,68,64,86,84,78,72,57,58,60,80,62,61,66,71,45,68,66,62,62,68,66,62,62,52,62,67,66,66,63,62,67,62,67,64,62,79,100,55,65,74,68,71,61,58,56,58,84,97,72,69,66,71,75,84,73,54,47,48,55,57,65,75,71,71,75,67,58,56,56,80,115,96,66,59,65,68,64,60,58,57,51,53,87,92,87,77,82,76,86,77,78,61,61,54,60,60,63,51,53,63,76,76,72,77,55,65,61,101,88,74,70,83,52,69,72,77,77,73,72,101,109,58,70,80,79,78,74,77,74,78,75,77,84,85,81,84,84,85,83,82,86,82,81,89,89,85,79,86,100,107,110,103,99,100,94,89,81,86,86,89,60,53,64,71,86,87,86,127,91,72,94,69,83,65,93,90,81,80,78,76,83,96,83,90,55,77,49,59,58,95,108,97,91,77,88,90,97,68,72,68,79,81,71,75,83,68,68,55,77,94,78,81,58,71,73,64,64,53,51,91,98,77,71,83,42,83,90,71,68,66,65,68,50,99,100,101,78,73,68,57,59,63,73,75,73,69,70,71,73,72,72,73,80,80,93
65,70,57,67,65,66,74,79,95,104,79,82,80,67,67,72,72,50,58,63,64,65,61,65,74,82,58,62,64,66,64,64,67,65,69,62,64,72,68,93,82,81,85,76,83,74,68,56,46,40,53,90,96,83,64,75,71,73,91,93,105,92,91,50,44,51,57,67,64,73,71,86,67,60,67,85,68,66,46,36,47,60,72,64,59,52,52,68,77,57,99,90,87,76,65,56,48,55,65,67,65,58,81,91,68,62,71,78,81,59,75,82,70,84,86,67,69,75,75,80,80,71,86,103,61,58,82,84,80,77,78,75,83,76,75,81,83,79,80,84,86,91,76,87,94,88,87,83,87,86,85,86,87,82,84,80,83,77,76,103,95,90,87,81,89,93,70,70,95,90,91,116,97,78,75,85,78,92,83,78,80,79,83,80,79,79,99,112,106,93,47,50,65,62,77,75,78,70,82,80,88,87,93,54,71,70,74,76,75,82,73,72,91,89,76,32,53,63,66,65,61,55,53,94,78,77,77,53,71,78,69,68,69,68,43,49,54,57,98,77,78,38,86,64,69,76,72,78,80,73,72,72,67,72,82,31
72,55,54,76,71,64,67,64,68,56,68,67,64,55,79,76,72,94,77,64,56,61,65,64,66,45,94,74,57,63,62,66,64,62,65,67,59,67,67,67,68,67,70,69,70,65,66,71,74,72,75,75,57,37,69,98,88,53,46,60,69,69,39,65,88,104,124,102,170,53,51,89,69,69,66,63,61,77,99,75,89,88,76,44,60,69,66,76,70,70,67,54,52,60,97,108,89,73,75,74,75,79,73,80,88,70,68,82,69,82,59,75,72,80,80,81,76,49,71,66,82,80,79,85,78,106,106,49,78,82,80,76,80,75,76,84,84,77,77,78,81,81,83,85,83,83,85,78,80,86,80,85,82,88,79,80,87,86,84,89,84,81,98,102,104,92,89,79,62,65,93,88,89,67,77,85,97,114,111,102,81,82,80,79,83,82,81,75,70,85,97,100,101,98,82,84,77,78,76,75,73,83,81,82,86,73,48,74,78,73,81,78,76,59,80,70,71,88,84,44,60,63,64,62,48,65,91,60,62,66,48,58,64,79,65,63,66,65,56,52,51,98,78,66,73,71,71,76,80,82,77,76,70,76,46,41
72,78,71,72,96,92,59,54,60,46,70,75,67,60,59,56,56,69,69,64,120,103,48,59,67,62,46,58,86,69,66,70,65,67,65,80,59,79,68,67,72,73,78,66,68,69,70,66,71,65,67,64,62,72,67,53,63,70,99,72,62,64,72,60,48,57,55,61,49,57,60,51,82,67,63,68,66,53,59,41,70,92,92,86,96,77,49,66,79,72,70,70,70,72,63,62,56,80,96,92,87,79,75,75,68,63,51,73,68,77,68,68,68,67,71,75,79,83,91,91,74,61,81,83,88,86,84,93,114,75,66,77,84,85,76,80,86,84,78,80,81,80,86,92,91,90,88,83,84,84,87,85,88,80,88,83,88,89,90,87,93,89,87,82,85,87,78,95,83,68,86,70,73,89,80,87,80,75,77,76,89,104,90,78,75,67,65,76,74,74,79,72,79,86,89,82,102,93,80,69,73,68,68,66,68,74,83,87,51,67,78,83,76,66,69,55,68,89,82,80,89,69,34,40,56,64,55,87,83,61,55,75,80,82,60,39,49,69,66,62,65,61,47,74,85,74,71,70,70,74,80,68,81,64,85,90
72,70,68,71,67,66,75,68,69,73,72,76,77,71,66,63,62,64,64,76,95,68,99,59,54,65,59,54,60,70,77,59,64,69,72,68,69,64,78,80,61,57,60,66,68,70,71,69,67,63,69,68,67,66,66,73,55,67,59,55,85,86,64,65,67,51,58,61,57,57,60,61,51,67,85,65,57,64,74,71,64,68,71,61,63,71,81,78,90,87,79,48,61,72,72,68,63,55,47,49,58,68,90,81,74,73,75,72,76,74,75,76,72,74,75,71,72,77,83,85,83,92,45,69,80,87,82,87,90,88,111,74,56,73,85,82,82,80,82,78,89,87,84,78,79,86,90,84,84,87,90,84,84,82,84,85,87,88,90,85,91,94,89,89,91,98,94,96,98,92,92,64,46,58,44,43,46,70,80,84,88,82,69,99,83,75,76,77,85,79,71,76,85,80,77,80,72,70,66,93,101,102,90,69,68,77,76,63,79,91,82,93,68,73,66,66,68,73,63,56,87,101,82,69,85,80,62,76,14,22,35,54,56,92,74,94,91,87,40,44,60,61,57,71,68,62,94,81,76,69,75,78,62,70,70,60
61,63,69,66,68,66,71,60,60,65,47,67,77,86,63,66,66,76,74,63,66,78,96,63,80,80,81,92,73,56,64,74,62,67,64,70,68,71,65,58,63,63,65,71,75,59,66,66,63,68,67,67,68,65,68,64,73,67,75,73,60,55,93,101,83,65,42,57,61,55,59,61,63,61,58,55,100,62,55,68,75,75,74,70,64,63,59,77,92,87,91,82,73,77,77,45,33,57,59,60,64,65,66,65,86,105,97,85,76,75,75,74,73,74,85,84,114,92,81,80,81,84,81,88,96,88,59,71,83,83,85,86,89,103,102,64,55,66,80,81,82,87,83,83,83,97,85,83,82,82,84,87,87,89,82,85,87,89,89,88,88,87,89,92,89,91,91,90,90,110,72,96,70,92,106,90,86,98,85,53,48,54,78,84,92,95,90,52,76,81,70,72,78,81,82,75,79,72,77,75,72,77,69,76,72,70,73,63,66,80,92,59,69,79,70,69,71,72,74,78,47,66,54,54,83,76,60,57,53,63,65,99,49,42,30,49,50,96,78,76,90,45,45,66,64,69,65,60,97,83,57,61,70,66,66,70
60,63,67,66,63,70,71,64,58,66,81,89,51,75,73,77,68,47,77,79,65,55,56,73,72,77,81,81,76,81,78,70,70,70,48,67,72,68,71,64,61,66,64,64,69,98,76,60,62,68,69,70,71,63,69,67,73,65,68,71,68,68,67,57,52,61,104,87,39,61,62,63,66,62,65,65,75,62,69,68,56,63,68,79,90,90,94,84,73,61,54,57,93,93,64,75,78,81,80,50,33,39,41,60,70,72,68,63,74,80,112,108,87,77,80,62,75,102,84,83,88,81,76,79,82,81,83,95,91,82,60,59,60,87,89,83,92,115,97,51,49,56,70,78,85,89,81,85,87,77,80,79,89,80,82,81,89,85,87,84,83,91,84,93,87,94,94,97,76,71,103,26,79,105,100,87,81,79,81,82,83,94,89,80,85,73,85,93,93,78,57,73,75,89,75,75,77,77,79,82,74,80,81,67,94,82,78,76,78,43,64,75,73,71,70,72,68,74,80,82,76,63,67,69,69,61,50,49,60,103,95,70,70,78,72,83,77,52,39,81,103,61,65,66,49,66,68,67,60,57,88,68,75,94,73,69
59,59,60,64,64,69,65,61,69,67,77,76,75,64,64,65,75,84,58,56,58,67,81,72,53,65,84,77,78,71,61,94,81,66,72,47,72,75,67,64,68,68,66,69,65,53,87,83,74,57,74,71,70,67,68,72,75,63,74,71,72,68,68,71,67,69,59,58,84,114,68,44,65,63,58,61,73,63,63,66,65,77,86,73,26,31,65,68,70,68,65,67,63,56,65,111,104,100,89,78,77,67,74,79,81,67,34,62,76,78,74,68,84,110,95,55,73,89,81,80,81,86,86,91,76,90,85,86,88,83,85,88,87,93,88,65,78,77,78,83,92,97,111,110,100,65,70,79,80,80,83,88,92,86,86,86,90,93,88,89,94,89,93,88,100,90,90,90,73,115,82,118,80,90,80,74,83,76,97,92,81,80,78,82,77,84,78,74,70,89,105,107,71,59,85,89,83,80,77,77,74,77,79,77,74,67,96,96,79,74,79,52,68,70,68,75,72,76,72,85,68,86,72,62,74,77,70,71,73,65,61,79,57,56,52,48,86,66,64,65,21,62,53,66,69,80,42,69,63,69,54,57,97,79,69,78
64,61,90,94,85,78,74,80,59,92,75,75,68,64,59,60,69,58,88,70,66,71,65,71,73,48,61,84,76,76,65,43,48,79,64,68,52,68,73,70,72,68,71,67,65,67,60,65,72,75,71,40,59,78,75,78,70,58,68,67,70,69,73,68,72,66,68,70,64,64,62,99,90,52,59,63,68,63,65,67,69,74,71,44,84,95,48,42,61,62,68,65,66,74,69,67,56,56,49,55,62,91,113,110,92,78,78,93,82,36,56,72,74,71,71,104,122,95,88,90,86,80,79,80,81,88,81,90,111,102,86,84,89,90,88,94,91,71,64,69,82,84,84,82,80,86,106,113,64,55,72,76,82,94,96,90,89,80,95,92,100,99,101,96,94,97,90,111,86,57,83,99,79,78,83,86,83,80,81,73,92,104,83,78,77,77,77,79,92,64,68,81,75,110,103,59,80,83,81,76,83,82,87,80,81,78,70,64,61,87,76,75,85,76,57,69,64,79,80,75,75,83,82,90,65,74,71,76,66,72,70,77,62,65,70,69,66,93,94,86,63,64,73,66,64,64,66,85,52,67,63,66,63,53,73,58
62,61,58,64,62,96,98,65,66,61,70,71,63,60,67,69,61,75,67,74,71,71,67,68,70,67,66,91,72,77,73,72,71,76,65,60,70,90,42,71,71,67,69,65,103,64,95,68,69,64,61,73,83,59,62,67,59,67,64,63,71,72,71,69,71,67,71,73,70,71,73,73,61,62,105,48,58,69,61,64,65,69,71,64,61,72,80,78,89,91,32,45,35,46,65,69,61,66,74,69,73,72,68,63,60,67,74,95,110,94,93,83,48,43,67,84,77,81,85,113,92,91,89,80,84,87,82,78,62,87,98,102,86,79,75,109,88,87,91,90,82,80,77,83,83,81,82,83,80,90,105,116,91,58,70,79,96,96,89,82,97,98,98,86,88,91,87,98,88,101,102,101,81,81,84,84,87,87,84,79,71,73,79,77,87,80,76,77,84,81,88,68,72,79,83,104,115,57,79,83,84,83,90,83,81,74,79,79,75,85,72,68,66,72,72,76,72,80,56,70,56,73,64,62,74,66,68,70,72,75,63,71,69,62,111,75,76,61,55,49,48,95,72,66,74,39,70,71,94,45,62,69,67,69,72,88
70,72,72,73,69,66,60,69,72,75,65,79,71,68,62,68,81,74,67,68,71,63,65,61,66,73,70,63,84,60,72,73,70,92,78,75,77,78,85,89,42,60,65,71,58,56,88,71,64,60,60,67,68,71,40,62,67,68,67,75,70,69,73,71,71,69,67,72,70,71,73,72,69,72,69,74,112,76,69,72,65,71,73,74,57,70,65,68,71,97,91,79,78,83,91,42,37,41,50,69,73,77,82,80,81,83,79,91,73,83,81,97,114,105,101,72,50,66,80,88,78,94,109,94,91,82,82,78,105,84,74,90,88,87,87,77,76,91,104,65,63,80,85,87,87,82,83,82,81,85,87,82,79,98,109,114,79,59,86,96,108,88,92,91,94,95,91,94,102,111,125,73,85,77,88,84,78,89,88,93,84,79,86,87,90,88,77,82,82,81,86,80,84,81,77,79,77,89,123,64,73,80,80,81,82,81,81,79,76,76,67,65,65,65,68,67,78,73,71,81,74,74,66,64,66,70,90,56,43,62,102,53,57,62,55,69,63,73,60,57,61,53,55,90,77,85,34,53,98,74,87,77,49,59,70,61
69,72,73,70,73,73,68,68,72,71,69,63,81,65,70,77,66,70,70,70,67,72,67,64,64,57,68,65,81,67,72,70,68,71,64,82,39,71,75,68,82,86,93,78,67,71,57,75,65,64,67,66,70,69,75,82,42,73,75,74,70,68,68,69,75,76,71,76,71,73,68,71,72,71,67,66,61,81,76,64,72,74,67,77,67,71,68,75,77,60,70,57,86,87,64,70,78,84,112,104,90,92,86,46,39,33,67,88,76,90,78,79,83,78,81,85,106,103,97,85,56,57,75,75,88,109,96,89,69,79,87,88,83,91,88,92,90,84,74,88,111,113,93,68,52,54,74,79,74,65,74,85,88,79,86,83,114,98,116,78,71,94,93,93,102,103,90,81,46,87,87,94,80,82,83,81,79,85,73,85,83,86,81,79,80,88,96,82,77,75,79,83,97,95,71,77,85,83,80,85,113,80,101,101,64,78,79,57,83,76,59,70,70,68,69,72,55,52,93,84,77,72,65,62,66,65,66,70,67,83,66,43,59,64,62,57,78,73,60,63,61,55,56,49,85,77,76,69,68,57,78,93,65,66,54,58
73,74,73,72,77,73,71,72,74,75,67,71,63,74,74,67,65,65,69,60,65,75,69,66,64,76,51,57,77,72,73,72,65,63,61,65,65,77,68,65,66,70,71,76,73,38,30,70,69,67,67,59,60,69,74,70,80,79,72,58,44,52,69,72,69,74,71,66,74,72,67,71,74,72,73,75,46,78,68,74,71,66,68,69,71,69,74,68,77,59,69,77,69,53,85,100,74,80,44,60,71,97,107,97,81,83,89,96,76,48,67,84,89,74,83,85,84,83,85,95,108,109,104,89,67,67,87,86,84,66,83,85,85,76,87,83,85,88,89,84,86,87,77,85,91,115,115,121,111,108,101,95,89,83,71,70,81,66,77,93,107,115,79,63,74,70,108,97,63,78,81,96,74,80,84,86,80,98,85,82,73,85,85,82,83,77,75,76,93,79,81,75,78,77,83,103,106,56,81,84,78,77,71,71,67,92,120,101,98,103,87,91,100,104,99,86,84,61,82,72,77,97,68,72,70,70,77,79,74,74,72,90,101,77,43,43,56,58,64,68,61,65,61,54,54,69,92,96,61,87,55,70,61,65,66,59
75,75,74,72,77,73,76,73,74,75,75,70,70,55,87,75,73,72,68,67,68,67,68,71,73,81,52,73,74,73,74,75,67,63,62,63,62,68,72,64,55,71,77,76,80,77,68,67,69,65,58,64,70,70,99,99,92,75,70,73,71,71,75,72,52,55,37,98,79,59,46,63,81,93,50,64,106,74,76,67,70,65,71,69,56,68,63,57,73,62,71,78,75,75,67,58,75,114,98,56,57,80,76,74,84,96,107,96,88,96,94,80,39,69,90,84,73,79,79,80,80,90,84,92,109,95,92,63,72,94,105,69,72,93,79,86,88,89,88,87,88,86,88,86,86,91,86,90,84,86,83,99,107,113,100,104,120,117,82,92,73,67,54,57,99,109,84,63,99,104,112,93,96,77,83,75,73,85,81,88,84,94,70,77,77,94,81,80,86,76,84,77,76,81,79,81,83,95,88,53,69,74,73,81,88,79,79,76,73,78,80,67,72,68,65,43,55,49,77,87,87,41,66,64,58,62,66,75,85,78,68,76,76,76,74,75,73,71,59,52,62,58,59,60,63,60,67,54,98,76,81,85,50,63,76,62
70,74,75,75,77,74,75,70,78,73,73,74,66,85,50,57,85,76,72,74,74,75,67,75,53,54,92,69,74,78,75,72,68,64,66,61,67,67,77,72,73,92,94,88,54,72,70,69,67,67,54,51,53,38,58,64,57,55,75,78,77,70,77,40,94,71,67,67,65,64,71,86,64,79,73,61,40,73,70,72,75,76,66,58,74,44,73,65,80,28,31,54,74,81,78,81,74,75,93,89,91,74,85,88,80,85,84,79,79,106,114,102,79,81,71,69,108,86,85,92,82,82,85,90,85,88,90,110,98,80,53,79,87,109,78,62,86,94,89,85,91,88,94,95,79,93,89,94,94,85,89,92,88,91,86,93,92,79,95,106,106,78,58,52,115,118,83,107,113,110,53,60,66,91,110,114,73,66,41,96,82,59,70,57,74,86,82,79,83,75,95,106,101,81,72,86,88,86,88,88,101,93,53,64,79,84,79,84,82,78,83,73,77,76,74,85,61,82,75,80,59,76,66,74,72,69,69,69,76,72,63,55,55,75,72,65,60,59,62,69,91,102,65,66,72,69,73,71,62,103,77,72,80,80,65,62
77,78,80,76,78,75,75,80,76,75,77,75,96,60,55,57,56,63,91,64,71,65,72,71,62,65,80,75,70,64,65,74,79,68,67,73,73,66,75,75,60,42,59,62,64,70,73,76,76,73,58,56,57,67,61,56,70,80,86,72,66,68,81,82,69,72,70,73,60,62,59,61,62,73,51,60,68,59,59,70,66,73,69,75,79,45,76,70,60,66,98,86,83,64,47,52,74,56,74,91,95,95,54,83,87,87,85,84,85,82,86,96,116,113,98,86,74,62,76,88,98,88,86,88,86,88,91,89,92,97,106,95,78,60,80,91,90,58,67,87,90,98,95,85,98,90,90,90,90,89,93,89,87,90,95,93,93,94,89,98,79,97,61,120,106,78,77,58,43,10,60,56,62,77,84,69,76,84,100,79,94,86,78,83,96,79,65,79,82,81,75,94,81,80,99,87,82,77,93,88,82,89,85,94,82,46,53,64,65,65,79,75,77,76,61,76,74,74,88,66,78,76,68,68,74,67,68,65,68,69,69,58,63,60,50,62,63,62,61,58,58,40,64,67,72,74,50,71,75,63,53,87,65,53,58,75
59,73,79,72,79,72,67,72,77,76,80,71,76,55,62,58,58,63,58,84,61,62,60,65,74,78,72,71,72,71,76,77,65,65,69,70,93,106,89,75,80,81,83,61,76,70,69,53,94,85,79,63,59,61,66,84,52,67,64,76,84,79,73,68,69,65,81,78,76,77,64,64,78,51,62,57,62,58,58,63,66,71,66,64,76,53,81,53,63,79,57,104,97,85,88,90,63,74,85,83,79,94,86,71,71,88,90,90,84,87,91,87,88,87,77,104,104,90,93,72,76,81,80,88,86,90,92,86,93,90,92,89,106,102,83,71,87,89,109,108,73,91,63,66,96,102,91,94,93,88,87,93,92,99,101,88,88,110,86,97,101,86,78,93,106,76,90,60,79,118,115,118,100,90,106,107,105,99,88,102,109,100,88,85,86,83,89,82,66,84,85,81,75,94,74,83,95,87,77,85,82,81,85,88,87,82,91,93,92,93,104,111,98,87,88,44,73,79,76,70,84,73,66,72,66,67,70,70,64,69,72,57,59,56,59,54,64,64,61,68,62,69,76,51,45,72,60,73,72,78,42,34,58,61,58,47
73,80,79,71,64,71,61,57,63,62,62,85,75,81,62,62,64,63,61,78,64,59,51,54,57,60,74,72,74,80,75,72,72,84,92,58,55,48,77,109,102,103,95,91,76,53,77,61,63,60,55,52,63,73,69,74,92,99,133,69,66,69,87,77,72,70,70,66,68,74,82,47,51,78,86,79,66,60,64,73,74,79,68,61,82,56,94,77,68,81,53,105,75,78,86,84,91,86,60,43,40,85,71,77,73,61,81,86,86,88,92,89,89,87,87,86,79,90,98,101,91,92,89,76,68,55,79,83,83,91,92,88,91,82,86,107,102,82,69,71,90,91,104,111,79,50,78,89,95,94,95,104,98,89,98,88,95,91,101,97,91,94,101,96,92,101,100,120,71,95,97,76,80,80,73,65,61,77,78,71,77,71,66,88,107,105,98,81,84,89,82,52,71,69,90,82,82,78,89,77,72,76,78,84,86,84,82,78,76,76,76,67,96,88,79,73,83,89,100,86,62,66,67,66,66,70,69,67,67,66,68,65,65,63,55,55,56,47,52,53,76,69,64,67,69,71,60,67,72,72,74,78,50,95,79,72
60,66,75,77,82,78,80,70,71,64,66,66,64,70,71,58,38,39,53,73,61,64,60,59,60,60,60,71,59,65,69,71,71,65,59,59,62,56,56,53,63,63,65,51,82,80,53,70,67,62,63,61,60,55,58,84,64,43,64,75,75,70,64,71,87,72,71,74,71,71,70,70,56,58,48,56,81,112,87,85,116,68,80,76,80,50,114,79,86,65,64,93,77,74,60,85,101,94,86,92,91,82,77,69,75,89,100,90,86,89,91,84,91,82,84,82,85,88,83,81,77,95,115,106,94,81,98,87,83,56,60,71,82,89,90,90,90,100,111,112,93,84,59,65,79,102,105,72,51,52,67,87,96,94,95,97,105,98,97,86,95,99,109,87,91,97,103,88,93,76,86,82,87,90,83,82,74,86,93,88,86,84,83,87,83,86,79,81,92,87,83,89,91,98,67,79,82,84,78,78,89,86,77,80,89,108,88,106,104,84,72,74,45,58,56,61,75,88,88,89,83,86,82,83,82,70,51,53,66,67,66,67,65,65,61,56,57,56,60,63,93,71,79,64,65,66,77,94,81,68,71,67,70,53,79,72
69,76,61,98,87,57,69,64,63,67,65,65,69,69,68,74,74,68,60,59,66,62,66,50,57,53,63,65,62,59,67,74,75,54,51,46,55,58,62,63,71,65,61,48,60,64,79,78,77,54,64,65,59,69,75,65,63,91,73,68,70,75,72,70,70,68,86,80,68,69,66,70,78,51,83,58,62,63,59,53,58,50,80,69,79,45,74,54,37,81,94,56,74,72,85,87,52,87,70,65,82,76,93,81,75,72,93,94,86,87,73,83,92,94,89,88,87,80,84,82,84,80,87,87,82,85,85,112,103,87,94,94,89,89,61,60,87,93,89,89,95,112,102,109,110,94,72,113,86,95,115,70,80,70,63,73,75,58,57,54,87,91,76,104,107,97,103,61,65,99,103,95,85,82,84,76,87,79,84,84,89,84,85,80,69,77,80,83,85,83,100,54,64,98,85,87,66,75,82,80,78,110,109,98,87,79,76,66,64,62,75,78,94,62,56,92,60,77,72,70,58,67,70,63,63,96,107,106,96,77,47,55,58,64,63,61,68,60,77,65,49,71,60,67,71,66,62,65,66,65,66,74,60,55,62,62
63,76,68,71,73,72,54,79,78,74,71,65,69,65,70,64,63,64,67,72,63,64,69,71,67,55,59,57,56,70,63,59,64,52,68,68,67,48,39,43,73,59,62,66,61,58,53,51,51,87,57,66,61,61,65,62,67,62,58,83,43,51,64,75,78,70,70,63,78,73,67,70,71,83,62,62,61,66,67,68,70,61,105,84,75,75,71,42,91,49,70,73,61,51,83,30,55,100,74,81,78,83,74,77,66,78,98,77,62,79,112,81,78,85,94,90,86,85,87,88,91,92,93,89,94,90,88,88,93,91,95,116,107,92,100,85,94,58,60,75,74,81,85,87,83,93,119,103,60,94,72,123,86,107,84,93,88,66,70,83,90,116,136,104,90,85,45,66,72,85,72,86,76,86,84,82,88,88,80,78,80,79,90,74,88,91,76,84,86,85,85,75,103,101,69,66,82,93,73,63,76,76,80,73,91,102,83,75,75,84,83,77,75,79,76,83,75,80,71,74,67,68,66,81,60,69,66,68,57,62,99,117,113,102,81,94,64,47,51,58,59,71,89,64,64,63,64,73,72,67,93,89,83,65,71,69
63,71,73,70,74,73,69,48,38,63,67,73,71,75,69,59,66,61,65,74,76,71,92,90,99,75,60,70,79,67,73,66,56,75,61,63,63,66,81,67,66,68,66,61,55,63,58,60,59,60,68,62,66,55,67,68,68,74,81,67,70,86,105,77,76,55,74,68,81,68,69,77,71,77,54,64,60,64,64,62,60,53,45,43,76,71,75,65,73,66,67,77,85,73,58,87,51,44,63,69,63,87,90,75,93,106,78,74,76,78,74,84,97,74,89,47,88,83,84,94,98,86,88,95,94,91,94,90,90,88,82,91,85,80,97,105,90,84,97,88,89,77,60,72,76,88,89,90,100,118,108,106,98,99,87,89,77,68,74,65,65,87,92,99,81,79,83,69,51,66,65,73,91,74,48,71,55,60,82,65,83,74,67,83,78,83,87,84,84,87,90,82,86,70,84,106,100,83,81,86,93,91,51,58,77,64,83,74,70,80,80,77,79,70,74,67,79,75,76,70,66,63,63,75,63,73,75,71,73,74,74,69,56,51,55,73,89,76,69,75,73,71,100,56,58,59,63,63,69,70,70,61,66,63,73,73
71,80,76,74,77,58,53,63,72,71,66,70,74,35,71,60,57,59,75,62,96,66,67,60,42,43,71,67,92,96,91,65,68,77,78,64,62,73,67,71,78,86,68,70,66,59,59,57,60,61,61,71,65,94,82,58,64,66,67,67,68,63,67,72,78,71,76,83,74,70,71,68,71,70,75,74,70,44,54,55,51,56,60,52,55,67,71,86,79,119,92,75,62,76,76,98,65,66,41,59,52,47,56,86,91,71,78,105,78,86,82,93,72,92,85,98,31,67,76,70,56,79,85,93,92,90,98,93,93,84,89,89,87,86,88,83,117,93,105,93,87,78,86,93,99,83,32,36,42,65,83,71,73,83,96,102,126,111,121,113,117,131,110,122,91,78,67,15,98,41,69,80,77,85,88,111,115,109,98,82,91,94,81,86,90,86,83,78,76,68,69,82,82,87,77,83,79,70,88,102,91,84,85,96,107,108,88,78,78,82,76,74,74,73,70,73,65,77,77,76,69,58,68,68,67,66,71,76,71,72,76,74,74,72,69,63,50,50,62,58,62,42,69,69,60,66,95,83,69,68,71,68,70,65,67,63
27,57,67,70,74,64,63,66,65,71,63,57,56,71,62,66,59,53,63,40,62,68,68,63,62,72,75,81,71,63,36,41,88,84,80,72,68,76,58,65,72,71,70,72,71,57,69,64,72,61,52,76,61,72,70,76,65,79,55,66,69,65,68,71,70,69,62,68,70,63,68,69,66,69,71,67,69,93,58,37,45,49,48,55,36,61,64,76,57,51,34,74,86,44,43,36,57,78,117,99,72,44,46,67,50,53,76,75,96,64,98,95,96,91,84,96,104,93,92,118,102,99,61,72,81,87,91,90,82,84,91,83,81,94,103,97,93,86,88,106,78,97,81,87,89,88,92,77,97,84,118,96,113,118,78,79,65,43,88,104,79,67,64,89,33,96,101,97,82,73,98,86,82,72,76,104,69,47,55,68,72,73,85,96,97,88,90,86,85,88,90,74,63,79,75,75,73,81,82,77,69,72,67,78,75,113,77,86,81,87,58,72,70,65,75,73,85,61,74,80,73,74,68,69,66,70,71,68,73,77,71,76,77,75,80,73,73,63,66,68,69,66,72,70,101,68,69,65,71,82,62,64,63,60,63,43
79,62,53,67,70,65,74,76,71,53,61,56,66,60,47,67,64,78,61,96,74,69,68,72,75,77,70,66,56,63,64,73,77,82,50,69,77,78,94,67,65,77,97,94,87,78,71,71,71,67,63,63,87,54,39,68,66,70,65,59,64,68,61,69,66,74,69,71,65,75,64,64,63,58,60,59,73,53,70,87,86,82,82,97,66,57,64,75,38,54,85,52,58,88,91,88,73,76,58,43,58,48,49,58,66,41,70,44,53,66,71,85,93,88,88,91,89,71,71,64,68,88,67,111,105,94,85,86,87,120,67,70,82,88,81,88,89,93,90,74,50,98,79,86,67,97,70,92,101,128,77,103,101,84,79,80,68,83,49,92,97,81,79,108,102,106,62,45,71,78,82,78,71,89,77,73,94,113,120,112,120,107,80,53,61,67,72,76,79,86,98,91,99,110,99,101,105,121,104,56,62,73,78,81,75,75,87,77,79,83,80,77,70,71,75,78,83,83,87,98,92,63,60,73,83,72,70,71,65,70,70,78,82,70,72,87,64,87,77,77,79,74,54,78,38,37,41,37,16,65,71,67,63,67,56,63
67,63,67,70,48,54,52,49,45,69,61,56,60,73,72,53,62,49,64,67,78,73,78,69,57,88,90,82,68,55,56,55,75,74,71,81,63,61,73,60,64,66,65,56,54,61,69,85,71,73,68,67,68,74,70,72,65,72,66,76,69,67,70,67,69,42,59,72,64,70,65,62,62,88,73,77,78,77,72,60,65,64,70,68,63,61,60,79,82,46,53,63,59,56,74,54,51,51,59,58,111,50,70,51,100,104,82,65,55,50,46,51,66,81,90,98,93,94,61,123,94,84,81,86,94,50,63,53,52,81,77,79,86,103,85,78,67,42,84,97,63,97,84,95,97,94,79,87,76,50,81,87,87,83,127,78,119,101,108,105,78,68,89,89,91,40,76,97,126,103,57,78,79,103,109,111,62,71,77,90,72,54,104,83,94,92,81,92,72,73,83,107,79,73,94,78,68,79,77,79,95,121,124,96,99,101,87,78,76,85,93,99,87,72,70,83,80,86,79,79,75,83,92,61,74,64,73,72,77,71,76,65,73,75,77,69,77,73,77,76,78,69,49,65,82,65,66,55,67,67,63,64,62,58,65,70
68,64,54,59,72,89,68,71,81,84,73,72,70,83,71,85,61,68,70,67,66,68,61,61,62,62,55,49,53,65,77,55,70,68,76,66,68,83,67,98,91,55,59,54,47,46,62,95,68,71,72,72,68,72,69,67,72,66,69,72,62,70,63,67,101,97,88,60,71,62,61,56,59,74,74,64,68,60,63,67,67,68,73,71,67,65,68,69,66,69,66,47,54,78,57,51,60,57,68,63,56,91,49,57,61,50,60,49,52,53,58,57,54,53,46,55,76,83,98,93,94,97,96,98,98,89,87,70,52,90,83,89,93,85,92,99,102,97,71,66,96,96,67,96,87,90,107,74,112,100,92,113,81,67,47,96,94,107,88,91,110,118,91,83,50,117,87,78,78,65,108,107,68,54,45,70,76,101,118,112,108,94,87,114,70,70,95,106,112,89,97,81,77,86,74,71,49,68,81,82,71,65,70,76,76,83,88,77,66,67,64,73,72,72,74,83,82,66,70,78,88,114,49,61,79,56,63,52,39,77,89,84,85,39,35,103,83,84,71,42,50,54,74,72,77,60,68,68,63,73,72,77,61,67,67,67
68,65,85,62,65,64,77,76,73,76,76,65,96,45,54,62,60,62,65,65,66,67,63,66,63,69,65,69,63,61,62,57,80,72,70,67,57,58,60,47,73,75,86,80,75,80,62,66,66,74,70,73,66,70,66,68,71,68,72,68,63,71,66,74,26,51,52,64,59,62,60,59,64,80,76,61,78,94,71,46,45,53,64,96,112,96,81,84,68,57,66,73,76,60,65,65,55,60,69,61,65,59,55,57,61,58,55,63,75,49,62,39,67,64,55,57,78,64,47,82,67,82,80,92,98,78,92,77,78,66,80,86,101,86,80,119,67,91,105,92,94,97,89,88,96,95,82,112,86,71,110,83,64,69,89,103,111,107,81,120,91,88,46,88,107,71,36,69,107,97,81,86,92,91,96,75,74,43,54,75,98,69,95,116,105,73,103,118,77,79,94,90,84,85,87,91,84,83,80,79,79,79,87,101,84,77,87,89,90,88,95,77,69,67,67,76,80,97,105,93,86,64,34,77,73,73,89,76,73,65,71,78,68,80,83,74,77,86,67,71,77,93,75,76,74,52,69,24,55,56,49,73,72,82,85,72
66,66,39,77,81,72,46,75,77,73,69,99,45,36,31,39,59,62,63,65,68,61,67,62,63,64,62,69,67,65,65,64,85,70,69,75,85,66,100,84,66,65,75,75,80,79,90,71,67,64,66,67,71,72,75,71,71,74,75,90,96,72,74,70,57,56,121,78,64,63,69,57,67,53,65,72,37,54,65,53,54,60,59,62,65,56,64,97,72,72,62,65,48,60,53,58,62,59,69,65,55,55,77,62,67,65,68,97,101,67,47,61,45,60,59,71,64,57,79,28,74,54,59,73,91,82,103,82,88,95,89,96,87,77,52,115,101,93,72,101,104,99,97,95,102,94,86,106,108,117,65,62,97,101,75,114,103,106,86,96,82,108,95,123,108,19,64,91,79,84,42,62,85,46,73,77,72,79,99,73,42,54,50,63,74,76,78,86,77,77,71,76,75,83,103,103,105,107,106,105,75,104,101,91,114,114,101,95,77,43,76,66,84,101,74,84,75,73,82,79,72,73,72,100,105,102,77,65,66,70,75,76,85,88,81,79,88,68,75,73,74,81,73,76,67,68,69,124,89,53,70,68,74,64,76,74
62,60,64,67,58,68,67,64,73,75,65,99,96,75,86,77,71,49,59,64,64,65,61,63,67,67,65,62,61,63,63,58,66,75,72,80,60,66,65,61,69,78,90,91,109,52,58,98,95,91,83,78,71,73,65,61,66,71,53,51,49,66,86,65,55,73,67,64,65,59,64,59,64,82,54,38,67,63,67,69,72,57,59,60,65,70,70,62,109,92,68,65,92,84,31,47,55,56,65,56,68,53,75,64,62,68,54,66,63,59,114,79,68,83,64,55,49,35,33,39,70,54,52,63,73,64,80,86,90,94,85,84,102,88,75,92,99,96,75,65,98,88,90,99,107,93,97,77,80,60,104,87,56,79,100,95,119,119,103,79,114,62,84,99,74,111,98,60,108,114,99,96,50,56,96,83,81,78,67,88,95,98,103,108,70,58,62,74,101,112,105,101,96,67,63,70,63,55,49,43,51,71,56,78,77,70,66,102,92,90,89,29,40,66,75,117,107,95,84,81,76,72,78,80,33,61,49,41,79,104,102,95,92,91,90,77,76,83,92,76,72,63,63,68,71,59,67,70,66,67,65,78,82,87,87,56
61,60,60,62,58,62,65,67,63,75,69,50,45,62,48,49,62,63,71,65,49,68,61,61,64,63,61,65,64,67,62,66,58,78,74,74,66,73,69,72,73,67,56,57,64,71,71,61,57,55,97,104,92,72,78,79,94,62,59,70,65,61,66,60,70,65,64,66,61,66,65,65,63,76,79,91,88,58,64,67,65,60,67,63,59,67,72,65,65,58,62,79,62,60,66,67,51,57,66,65,63,57,67,65,65,61,57,63,62,59,65,57,112,55,64,55,73,60,62,67,15,70,48,60,68,71,51,47,63,78,78,92,93,87,87,106,88,106,95,79,99,106,106,115,39,62,113,106,101,95,96,60,101,125,108,46,88,88,85,69,91,126,71,62,26,70,70,85,100,33,53,97,79,72,100,66,76,70,74,86,86,84,80,68,80,83,64,56,78,81,73,65,80,75,101,94,82,76,80,99,109,128,91,85,89,51,59,66,73,101,81,77,79,104,59,55,60,65,55,68,56,90,78,76,81,110,71,39,39,57,55,50,47,47,44,68,67,90,103,112,106,94,73,68,63,64,63,66,64,66,96,69,48,79,70,82
66,61,63,63,73,75,72,70,65,70,62,67,72,84,76,74,70,64,71,68,71,53,58,62,64,64,64,66,66,66,61,60,54,80,76,62,71,72,73,78,73,73,74,72,76,75,75,73,75,71,62,53,55,87,92,73,65,74,73,46,65,70,55,68,58,87,96,78,78,72,66,72,77,81,78,35,73,70,66,70,64,75,64,60,65,66,63,74,77,76,72,67,64,78,64,63,66,56,59,57,62,74,65,69,65,64,64,64,71,57,70,53,45,59,70,47,65,37,46,62,68,59,33,49,54,32,62,55,50,63,51,58,68,85,91,55,76,70,95,88,106,80,63,100,59,133,110,96,79,50,99,63,85,73,61,102,31,65,53,104,92,93,93,96,85,87,39,84,79,78,67,93,102,82,93,97,71,93,86,79,79,89,81,79,78,82,103,109,80,62,64,74,83,79,74,72,83,86,80,82,77,76,71,90,103,103,98,105,96,52,67,110,86,107,87,98,108,82,60,35,81,82,68,76,95,23,103,69,87,82,114,104,78,47,62,53,115,60,52,51,51,47,98,101,103,77,85,76,72,73,41,54,108,77,68,71
70,71,69,71,73,75,76,74,71,48,72,64,81,83,105,50,67,93,93,93,77,75,83,63,49,63,64,62,64,63,61,60,61,75,73,59,71,77,72,72,72,71,77,74,75,68,71,74,75,68,76,71,66,61,49,84,115,95,83,80,84,75,79,70,63,52,59,61,82,91,67,77,89,69,71,93,92,81,68,60,63,77,55,63,67,63,78,83,73,74,68,65,71,62,84,83,65,79,75,35,46,50,62,59,51,59,61,60,59,56,57,54,57,57,45,87,60,79,50,53,25,79,37,61,64,69,68,35,61,72,75,47,78,58,34,54,73,92,100,93,79,92,98,103,68,116,95,89,51,113,72,97,84,64,95,85,91,115,87,90,104,101,99,49,88,91,87,74,95,75,79,73,89,76,90,75,75,72,88,90,77,82,83,81,88,80,81,81,84,88,97,90,65,103,97,93,88,61,76,82,83,88,82,75,75,86,74,72,88,104,75,61,69,70,63,58,58,103,107,92,93,82,66,68,59,90,90,59,49,64,56,50,81,92,133,45,46,63,71,68,70,69,47,55,50,31,66,73,88,69,72,64,64,65,80,79
92,92,76,74,80,73,75,82,36,91,67,84,79,58,47,58,67,60,58,56,73,86,75,67,73,67,56,53,39,47,57,58,59,66,65,58,71,74,70,73,73,74,73,73,74,74,75,73,74,70,70,75,65,69,68,60,59,65,59,89,84,76,71,57,69,71,68,70,69,59,77,62,48,64,74,70,71,66,72,73,70,33,54,65,62,83,79,78,70,73,69,69,66,79,48,49,82,65,62,58,57,71,77,52,53,62,65,66,61,58,69,62,57,53,52,35,62,70,64,88,53,70,41,42,63,85,25,63,61,62,60,77,30,77,11,92,72,27,60,70,84,78,96,56,108,31,94,76,100,68,109,105,103,86,82,110,83,106,100,93,105,79,121,100,52,90,84,72,77,81,76,85,47,85,80,96,103,86,96,79,93,114,104,96,90,82,90,88,86,85,77,79,79,77,86,77,74,85,96,73,81,84,82,84,83,74,77,83,79,76,77,95,96,76,77,77,90,68,63,54,104,88,74,81,102,95,74,70,61,108,56,60,63,59,47,55,114,63,37,36,37,43,65,50,47,57,61,81,75,66,77,84,72,71,72,68
65,59,78,87,81,100,61,87,93,66,65,58,80,103,95,101,77,46,73,68,61,45,69,65,62,64,59,61,67,58,71,75,69,62,80,63,82,58,72,69,73,72,71,75,72,76,74,77,76,73,72,69,72,70,72,72,64,67,70,67,59,72,63,100,61,58,60,69,73,79,82,82,61,57,77,70,81,65,64,63,65,71,86,101,72,76,78,69,72,71,75,68,62,68,72,61,57,50,73,82,70,64,55,45,64,61,65,45,60,55,64,59,69,60,57,54,69,61,65,112,102,101,98,64,54,56,79,94,72,57,67,66,82,63,43,63,80,49,52,69,28,93,75,57,57,100,117,98,103,71,100,63,89,78,91,113,87,92,87,107,117,112,89,33,74,110,93,115,84,72,83,90,73,88,67,117,91,54,74,78,79,76,94,91,83,70,73,99,95,105,116,107,88,83,84,84,84,86,84,87,66,69,83,79,86,77,72,83,74,88,87,102,72,72,78,77,74,73,73,81,73,70,64,69,47,62,77,101,100,102,79,81,49,42,27,39,55,59,53,71,88,116,73,11,46,94,59,22,60,86,47,56,42,101,89,75
62,67,69,61,89,53,66,61,59,69,76,68,61,60,92,55,68,77,66,52,37,73,65,66,80,82,77,75,74,66,73,82,78,69,70,67,69,69,59,66,70,61,71,72,66,60,73,71,73,70,63,72,76,67,67,73,69,72,71,68,66,62,64,65,64,59,64,68,69,71,81,79,65,64,70,61,58,62,62,65,62,63,63,70,65,72,64,67,74,75,77,69,66,65,68,63,60,54,52,50,49,45,85,57,54,57,61,67,49,51,50,54,49,60,61,68,52,56,56,59,55,30,39,77,72,78,59,55,68,63,54,58,47,69,29,75,53,68,62,23,89,45,39,56,58,36,68,66,105,84,48,86,90,82,92,62,76,98,98,94,91,95,32,52,78,104,100,35,79,101,65,87,92,75,86,70,56,87,93,91,91,87,91,77,89,86,85,82,67,81,77,77,75,106,108,122,107,81,87,82,84,96,95,58,83,75,81,78,80,75,79,85,75,78,78,76,80,75,82,76,77,66,91,70,71,77,80,69,57,49,53,56,76,92,85,105,117,106,40,37,40,45,48,56,47,60,54,49,43,50,120,39,43,58,56,39
65,72,68,64,77,59,63,73,51,69,72,101,94,76,39,68,60,63,77,78,83,65,67,72,45,59,62,63,60,72,75,70,61,67,67,62,64,66,70,66,70,69,69,78,82,67,59,68,72,72,75,69,72,69,64,70,66,68,71,87,61,52,64,66,63,65,66,62,66,61,66,70,73,67,63,68,86,82,71,64,60,68,64,61,60,61,64,66,83,50,59,73,75,69,70,66,63,63,54,68,52,57,56,47,73,81,72,60,78,66,60,56,76,59,65,63,65,68,67,54,64,56,57,56,49,53,100,55,59,49,64,65,75,66,62,71,51,61,66,69,63,62,58,38,83,69,76,24,39,85,92,87,96,96,96,97,91,101,105,89,111,93,81,96,68,86,75,89,77,82,85,86,76,76,87,70,104,64,94,92,88,85,87,85,87,85,83,87,80,87,84,89,85,82,79,77,76,76,98,88,76,84,81,93,97,68,61,70,89,77,83,73,82,77,82,76,78,80,84,81,80,68,60,67,73,123,98,38,50,72,74,69,68,67,64,62,55,53,61,88,107,108,86,117,108,54,32,58,61,58,46,51,66,128,95,52
62,65,66,63,71,63,72,70,56,82,69,66,73,76,89,68,69,70,82,82,79,71,84,65,66,57,49,46,53,70,56,79,76,69,67,63,66,70,66,67,60,63,46,55,59,56,53,62,63,52,75,57,65,51,48,63,68,74,70,67,66,60,65,62,61,66,61,65,72,63,65,68,68,69,67,65,62,66,72,79,65,68,64,63,65,64,64,65,67,69,66,71,77,62,68,62,72,74,65,61,58,55,61,63,56,51,61,71,90,73,51,65,75,43,53,54,57,63,53,64,64,70,62,66,63,62,56,114,104,71,85,78,68,74,53,64,65,99,67,53,60,57,63,66,19,74,72,81,29,72,54,64,75,89,92,95,96,101,86,108,109,95,76,98,96,98,102,90,83,106,102,90,91,89,107,97,78,80,97,89,90,81,92,89,92,93,81,85,83,76,86,83,80,84,83,85,86,82,79,79,85,84,86,86,88,86,87,112,72,67,74,75,73,78,80,80,75,83,83,85,82,77,75,74,75,75,65,63,75,73,54,61,68,66,70,61,63,63,64,63,60,60,58,60,55,59,43,54,65,45,60,58,68,49,51,42
62,76,55,61,60,91,69,75,56,57,86,90,76,77,61,65,67,72,72,62,70,69,57,65,59,64,88,65,61,64,54,63,77,75,71,71,75,73,74,72,60,63,66,57,53,67,63,68,69,68,58,59,63,60,60,64,49,75,92,54,61,66,65,64,62,66,65,61,51,83,85,72,72,77,73,71,70,68,64,63,68,76,60,62,60,70,59,64,76,73,67,69,88,64,75,77,77,54,59,57,59,61,52,62,57,56,64,47,54,69,97,70,54,87,75,72,72,74,93,70,44,52,71,56,49,64,55,61,58,36,29,23,54,43,87,70,63,46,53,81,72,62,70,63,82,63,63,70,79,36,94,67,57,72,62,63,82,90,96,93,102,98,86,86,91,99,76,89,61,64,88,75,90,94,86,104,115,88,114,87,91,86,87,90,95,80,79,81,82,82,81,84,81,86,84,86,89,92,86,83,75,90,79,79,89,85,87,86,86,80,85,101,105,87,42,45,40,72,75,81,74,82,78,75,75,75,77,75,76,79,63,72,95,60,68,67,66,65,63,61,62,59,61,66,61,60,62,58,58,53,54,89,127,122,27,30
69,53,72,63,48,35,95,75,72,45,28,73,72,69,72,65,74,87,71,76,68,69,63,62,60,58,77,64,60,63,63,81,57,49,19,28,48,59,60,87,70,71,74,95,77,67,66,65,70,65,60,61,61,69,61,64,60,62,62,66,67,54,50,50,57,60,58,54,55,58,56,62,91,85,71,72,68,71,67,73,68,72,80,72,63,72,73,103,29,73,95,75,72,92,58,60,50,52,55,61,57,63,58,56,63,69,70,59,61,61,49,54,89,73,53,75,50,68,50,47,54,92,89,51,53,63,43,25,29,39,68,59,43,67,85,23,84,101,95,73,84,64,87,104,21,77,59,66,45,26,26,66,36,63,56,76,57,52,83,89,95,81,84,78,91,89,91,52,88,85,84,104,62,61,77,45,83,69,71,103,100,102,73,73,72,86,80,79,80,90,83,83,85,91,82,88,84,88,87,83,84,85,79,80,78,79,95,88,79,89,112,81,117,110,109,106,100,83,73,92,85,92,72,53,67,81,78,76,74,75,77,73,69,61,114,95,47,46,58,64,57,60,59,60,59,64,57,61,62,59,59,58,58,49,95,91
69,82,75,62,67,81,57,50,62,90,71,96,102,77,71,68,51,63,68,74,72,80,87,73,81,80,62,63,75,60,85,96,82,78,76,85,85,85,37,31,86,59,97,52,51,64,68,67,64,66,63,67,58,61,62,63,59,61,58,60,58,68,71,63,71,67,57,61,68,62,64,60,64,58,63,91,77,70,67,71,70,69,63,53,73,73,62,44,56,63,63,79,95,68,76,89,70,70,61,52,56,55,78,63,58,56,63,65,65,62,53,58,51,54,94,47,79,98,66,50,53,87,57,53,51,65,70,60,76,63,69,53,46,57,61,84,89,57,51,62,50,59,48,82,67,61,50,62,60,56,43,60,62,78,81,56,76,59,64,63,57,47,60,79,81,88,89,90,97,90,87,77,96,34,123,75,65,59,107,92,96,67,114,113,60,84,84,82,86,87,89,84,86,83,84,76,88,92,84,90,85,77,88,103,84,83,53,65,69,69,78,77,83,74,80,74,84,77,76,74,77,83,88,91,79,82,109,81,91,47,61,75,77,69,68,55,92,76,73,65,39,59,65,61,60,59,62,63,61,57,59,55,61,59,63,51
67,70,75,73,64,61,67,70,80,89,50,52,53,79,71,69,65,74,84,78,65,68,59,52,65,74,80,76,70,92,52,37,63,85,84,78,77,74,71,74,78,38,64,57,89,68,67,66,64,68,87,39,69,66,61,59,58,55,62,58,67,65,65,65,61,73,73,76,60,67,117,63,54,50,58,39,53,74,88,73,59,64,55,72,65,79,62,26,44,61,62,67,51,99,76,71,65,66,59,70,78,56,40,42,63,47,56,62,56,61,62,67,61,57,52,63,60,54,54,108,84,56,56,62,69,71,65,57,67,71,74,60,58,45,33,51,97,52,106,33,19,60,70,84,57,53,62,53,62,59,76,65,24,50,95,87,66,69,69,55,71,51,54,54,55,58,78,69,87,74,55,118,100,29,127,99,112,102,61,79,43,107,66,103,93,83,87,86,69,77,91,86,84,72,96,97,94,82,82,91,89,89,81,94,87,81,87,86,66,73,75,69,74,60,79,75,77,80,80,89,78,84,84,73,65,70,69,76,100,101,90,103,66,52,57,73,50,73,76,66,69,84,83,45,29,33,48,52,60,58,62,61,60,58,55,60
72,72,70,80,78,84,83,69,69,65,41,50,78,75,74,72,90,80,87,96,48,63,73,76,72,55,42,50,66,78,71,65,67,62,64,62,60,69,68,66,76,110,67,90,70,76,77,79,76,76,60,89,65,63,56,58,57,60,61,62,62,60,60,67,69,83,111,74,49,54,71,62,71,69,72,68,117,42,56,52,71,70,56,71,70,52,87,82,88,40,51,61,63,57,61,99,95,90,55,57,51,57,61,72,69,63,62,47,70,69,48,36,49,51,52,71,63,63,55,52,36,70,85,43,51,75,80,63,71,78,66,77,49,64,59,28,53,38,39,15,75,71,62,28,83,59,53,88,72,79,54,90,86,53,39,62,119,83,70,63,35,56,55,73,61,40,58,53,78,79,71,73,44,29,92,116,84,98,67,114,94,79,82,76,118,90,69,96,117,108,73,71,76,88,88,90,60,100,99,70,79,87,85,77,83,84,80,78,78,97,91,99,105,81,54,50,56,80,70,76,79,81,80,71,80,105,78,75,74,74,60,90,104,90,79,101,91,78,74,72,68,71,74,67,70,64,71,85,88,98,96,80,28,47,53,62
72,80,83,83,77,78,77,78,66,63,70,80,85,73,100,74,49,65,52,54,86,81,58,71,60,76,67,71,82,46,82,67,62,65,68,55,66,69,58,64,63,61,40,74,64,60,56,54,64,59,64,82,80,65,62,60,68,61,58,73,82,66,63,63,63,35,46,76,56,58,65,59,70,69,67,71,63,76,71,53,69,69,77,75,68,75,61,69,67,74,93,63,64,63,65,57,56,58,107,60,60,14,32,43,67,67,65,67,69,69,67,79,75,93,62,38,48,48,51,61,44,70,51,70,75,71,51,82,41,71,64,55,59,84,79,75,62,74,56,43,71,49,65,92,20,28,45,20,49,36,64,91,62,79,92,98,59,24,53,57,72,58,79,46,73,62,68,40,50,110,72,108,73,43,83,84,68,81,87,85,93,94,87,96,50,67,80,80,78,83,82,71,58,88,67,68,105,87,85,82,107,54,96,86,89,71,78,79,80,81,76,80,81,84,81,87,77,74,80,82,69,66,63,78,78,94,79,75,75,76,74,76,67,55,84,88,93,76,83,80,77,71,70,74,73,68,71,70,70,71,69,72,81,78,70,87
86,109,84,80,81,79,81,69,66,91,84,76,54,71,68,92,97,86,70,69,62,81,79,80,89,67,59,61,72,66,68,72,67,72,79,79,72,57,67,73,73,64,59,69,28,49,47,55,67,65,64,58,53,56,78,66,77,54,69,60,61,82,64,58,60,65,89,91,77,68,63,70,78,65,75,71,70,70,83,53,65,54,66,75,69,68,64,76,60,75,69,37,65,66,65,72,68,59,45,88,97,101,105,64,46,55,58,65,80,74,60,79,90,65,62,56,72,72,77,88,75,71,23,58,77,69,55,46,74,59,62,61,67,65,49,84,83,58,59,68,86,44,33,8,110,122,117,111,59,45,68,84,112,45,6,25,29,78,45,71,68,89,51,67,85,10,62,65,56,82,64,24,80,51,49,74,83,88,94,77,62,85,90,50,113,128,92,36,82,84,65,75,91,75,95,116,82,91,84,77,75,76,95,53,59,82,77,84,83,80,78,79,74,80,78,79,80,90,83,74,66,64,75,76,78,67,69,46,66,69,81,81,88,78,72,68,60,52,51,47,55,74,62,44,45,58,104,76,103,105,112,117,97,74,68,66
51,46,77,109,87,82,74,80,50,46,49,62,67,73,75,67,67,58,63,52,46,66,66,70,70,65,61,67,74,86,82,84,96,88,97,84,68,66,70,72,73,63,62,63,69,78,72,78,85,83,57,57,62,60,70,59,90,61,73,72,67,60,72,70,74,63,48,67,69,69,68,67,75,79,83,50,64,57,70,73,57,83,73,70,65,68,67,65,69,49,62,78,49,64,71,66,67,65,67,60,51,48,36,102,80,47,38,49,51,53,53,53,50,60,74,78,114,111,80,92,105,108,89,70,56,70,61,58,57,48,43,73,85,67,55,58,67,106,70,69,46,71,47,47,24,61,31,61,67,61,50,41,84,79,103,81,95,59,55,76,62,66,78,62,59,68,54,66,90,68,67,82,63,77,79,69,65,62,75,77,65,84,65,93,94,83,105,79,70,80,93,68,74,73,64,76,81,83,103,85,81,82,82,80,97,87,84,79,86,85,84,74,77,71,71,76,86,69,67,80,67,63,68,106,93,91,82,86,96,95,65,62,62,71,80,77,78,73,74,72,78,74,69,69,67,66,65,63,68,70,57,60,52,42,72,97
59,61,54,48,103,90,81,81,90,97,90,47,72,61,44,65,60,74,100,77,82,84,62,68,64,58,66,59,72,76,70,83,70,71,69,50,67,69,66,79,71,82,73,82,72,62,59,69,72,75,84,65,77,75,68,62,58,68,70,65,71,73,97,42,52,89,80,82,75,76,96,82,76,65,73,32,63,70,66,69,78,83,52,56,66,68,75,56,69,58,77,65,76,87,79,39,50,60,72,69,70,59,59,57,74,82,63,59,60,68,50,46,60,55,56,59,59,57,60,58,51,44,45,63,102,110,67,77,59,72,65,46,53,63,60,49,38,41,110,100,90,63,41,71,69,83,85,86,56,46,65,124,102,69,31,53,65,123,91,77,14,59,41,54,80,61,71,63,40,43,68,8,31,72,69,77,77,86,80,34,80,84,88,66,87,82,81,73,94,61,71,94,89,78,80,83,77,77,78,97,82,82,86,83,87,81,85,83,85,82,83,82,78,70,76,75,73,114,82,80,79,79,77,80,77,67,66,67,69,70,94,93,89,92,81,50,52,77,76,81,75,77,74,44,99,99,89,85,49,85,89,96,81,36,30,42
61,62,66,62,60,45,64,91,75,73,76,84,41,78,75,64,58,70,74,66,68,67,62,55,54,67,74,67,60,76,61,70,62,70,52,86,32,62,64,52,54,48,97,77,84,78,82,72,74,72,73,92,93,86,61,51,62,58,63,69,67,68,63,69,62,54,51,54,90,83,41,67,86,77,69,69,72,63,67,63,70,71,75,81,78,79,61,64,78,70,78,67,64,71,69,77,90,78,29,42,31,39,53,52,47,34,47,48,51,52,63,68,51,45,53,62,63,58,62,62,54,58,59,55,56,57,48,80,87,52,50,63,39,58,82,85,92,50,60,48,62,69,73,81,66,59,51,53,88,87,52,63,75,131,77,62,52,58,69,55,79,58,61,88,6,65,54,64,108,61,25,59,88,86,63,82,90,61,25,73,76,71,77,58,53,75,93,62,101,76,83,89,98,88,77,106,103,126,96,102,83,90,88,87,107,92,79,83,92,85,92,86,94,81,81,86,82,81,56,80,82,82,78,79,77,72,75,80,80,82,77,79,67,83,78,79,83,94,109,111,113,107,93,68,67,69,61,61,65,63,83,72,102,99,102,104
96,48,50,55,63,63,61,56,99,72,75,65,71,51,62,66,63,44,48,90,68,60,56,60,72,77,80,73,85,77,59,75,80,66,74,63,38,56,71,75,67,86,71,57,59,81,81,96,91,81,79,79,102,112,87,82,77,76,84,81,64,72,68,47,44,47,51,60,64,60,103,71,61,74,77,67,68,64,65,70,82,72,73,68,75,68,66,91,82,70,65,97,84,79,63,60,47,83,89,77,63,78,99,127,96,57,60,58,58,57,57,51,59,66,69,65,47,52,65,66,46,46,43,45,55,74,91,30,56,49,53,23,83,84,18,64,55,56,68,80,70,47,57,90,72,74,65,42,98,70,64,77,65,44,59,52,42,48,85,57,16,43,68,71,75,38,75,59,74,40,71,70,74,55,72,49,81,106,61,81,42,81,81,78,38,53,61,70,73,73,95,91,120,103,86,72,76,82,96,92,99,78,75,102,84,93,85,93,51,65,100,105,74,83,80,71,81,83,91,107,60,69,75,81,78,78,74,77,74,79,79,81,79,73,63,96,71,71,76,73,70,71,75,68,73,78,76,71,77,75,59,83,68,64,72,70
63,64,85,83,38,61,68,61,69,40,78,67,64,77,71,71,79,74,44,70,78,76,98,113,105,81,80,80,77,73,64,88,70,62,64,69,70,84,55,51,66,75,64,69,71,55,103,73,67,66,64,70,69,60,70,70,66,69,72,67,92,98,69,81,49,52,70,81,115,84,72,47,64,59,56,65,43,51,51,60,55,71,96,83,73,85,80,51,54,48,62,44,54,58,82,65,60,63,62,91,82,59,63,64,69,74,58,60,57,64,65,63,52,56,60,64,67,73,56,51,66,69,71,80,63,68,45,91,67,46,58,52,81,72,68,125,82,42,32,50,58,75,40,62,72,51,61,75,46,80,113,86,35,26,79,42,33,60,69,67,34,112,93,12,75,34,89,70,39,64,74,68,70,29,82,56,83,63,32,103,71,61,70,80,44,70,57,66,94,17,16,88,43,73,25,101,95,89,87,79,100,90,90,69,80,81,107,85,86,88,61,86,81,83,89,85,92,105,97,90,83,91,100,45,78,79,74,80,84,80,77,75,86,82,77,79,80,83,75,76,72,71,73,101,50,58,47,51,50,49,65,68,71,82,79,76
66,65,65,70,77,90,39,44,51,61,46,52,96,69,67,71,35,63,102,116,87,21,52,66,54,84,91,108,94,78,72,73,77,67,69,70,65,65,66,68,44,82,76,66,65,74,58,66,65,65,64,64,58,64,72,65,70,69,65,64,45,50,48,61,135,65,65,63,59,57,58,120,103,68,62,90,76,82,70,68,79,50,71,53,49,87,85,83,93,84,95,79,75,67,29,68,49,59,65,54,50,78,71,36,56,28,41,60,61,61,64,58,66,58,79,63,66,70,68,44,53,65,51,90,79,81,87,35,33,43,50,88,78,36,47,56,24,32,83,110,94,30,33,40,57,57,61,71,74,77,57,20,29,99,87,48,58,77,56,59,38,76,78,39,84,85,58,63,62,56,54,62,52,26,59,85,78,41,100,70,79,76,63,87,73,67,98,93,39,133,97,106,55,32,78,74,113,32,78,105,98,75,81,94,64,66,64,85,103,93,105,84,82,84,75,67,68,81,75,98,96,91,83,86,107,82,55,81,83,85,77,79,82,77,75,71,71,68,72,77,76,72,78,49,58,66,67,68,71,71,77,75,74,82,72,66
102,83,70,68,70,70,82,93,93,86,35,56,56,63,98,83,79,47,33,30,45,65,75,74,63,59,69,52,49,55,95,90,73,70,71,70,71,73,69,56,76,77,46,71,69,63,68,68,68,66,76,97,91,86,87,71,66,68,66,84,51,59,66,64,61,61,65,66,66,67,72,64,59,49,68,124,61,63,96,84,72,80,84,56,69,52,51,91,93,54,90,65,69,69,70,74,67,78,82,67,64,49,66,90,59,85,35,62,62,92,71,61,62,62,58,72,48,14,60,61,67,76,88,54,38,83,59,66,78,70,111,63,74,48,75,67,112,81,83,65,55,27,21,89,53,49,70,62,64,58,75,94,94,75,38,82,49,64,59,80,119,86,67,53,73,84,66,92,80,77,59,82,80,68,79,82,82,93,51,94,71,70,91,83,58,81,68,79,66,75,96,97,72,73,87,36,23,59,78,100,85,111,91,67,67,97,123,100,58,72,78,89,86,87,49,80,90,85,89,78,77,78,81,75,85,80,103,95,56,72,82,81,76,83,77,71,70,73,71,60,81,93,77,71,38,52,69,68,67,69,64,72,69,69,70,77
22,54,62,105,93,79,78,70,75,84,82,94,91,57,31,23,80,76,76,83,93,66,35,42,57,41,75,47,69,63,58,51,53,67,76,97,110,120,104,79,71,59,74,84,64,43,61,72,66,69,66,62,70,71,67,85,73,74,77,60,29,39,66,65,67,62,69,67,63,68,70,63,65,63,65,63,54,111,95,30,72,82,80,79,96,84,75,53,82,67,55,63,61,58,64,71,63,60,65,49,82,42,73,76,67,54,87,70,75,49,48,68,68,60,54,60,58,52,51,61,71,41,52,57,62,54,36,65,51,48,69,52,55,46,53,57,88,77,92,34,87,84,101,60,65,76,105,56,39,49,61,42,55,79,69,70,59,47,69,72,66,107,62,78,63,65,57,53,70,77,69,60,62,79,52,63,71,114,103,76,86,92,69,56,32,78,68,74,101,94,94,67,92,84,89,94,69,74,98,86,35,80,92,91,95,92,81,74,113,96,68,58,83,83,80,80,73,97,100,60,60,88,110,88,74,107,59,76,69,88,69,71,79,79,82,77,73,74,70,72,75,54,76,72,73,74,85,85,68,76,71,76,76,80,73,71
70,90,74,29,33,55,88,108,87,82,80,81,82,82,91,83,78,74,76,75,76,76,79,77,86,78,69,85,85,101,88,78,46,33,42,58,58,63,57,55,81,95,115,97,79,83,82,83,72,45,60,66,71,74,70,64,85,79,80,72,78,83,98,97,95,106,118,61,64,64,68,65,66,67,62,65,61,63,54,68,106,73,56,59,75,61,68,83,70,64,98,90,82,96,92,73,62,68,87,78,68,68,76,12,16,44,68,82,62,61,54,47,95,73,48,54,57,56,61,60,59,80,54,56,95,102,79,71,75,74,101,99,52,36,45,66,51,116,94,58,85,97,39,103,65,70,58,71,84,110,96,60,68,41,50,63,76,56,33,68,95,79,63,16,54,80,85,126,106,73,89,68,45,73,51,48,37,50,63,94,77,56,53,89,89,93,84,91,90,81,56,120,66,97,66,91,75,107,73,74,75,82,75,49,67,80,97,107,70,80,80,82,81,76,76,72,77,72,91,84,107,80,60,109,80,118,124,92,91,73,79,79,98,57,50,73,71,73,78,69,76,79,64,74,62,65,62,61,65,59,91,87,58,40,62,75
74,67,81,79,92,105,65,34,52,98,106,89,78,78,98,52,69,63,73,73,78,72,69,77,96,106,108,93,89,77,71,72,77,79,96,89,91,53,39,44,59,61,56,48,45,56,80,106,93,80,85,68,51,48,51,52,83,75,72,71,75,76,75,64,66,30,55,63,63,62,68,68,69,64,71,63,60,61,64,64,54,95,76,67,69,77,77,68,64,58,74,46,51,61,61,54,59,70,35,66,67,63,71,74,62,48,58,76,60,59,67,48,57,50,98,62,60,58,63,67,44,41,58,58,56,88,66,78,69,49,56,13,70,77,55,71,73,52,43,62,9,30,48,64,69,72,60,57,71,68,60,35,67,80,67,56,49,36,37,43,91,83,30,77,63,114,112,57,63,77,91,77,66,73,66,84,73,104,117,99,86,73,57,71,66,51,50,54,65,65,119,77,70,75,87,82,92,76,63,55,72,90,81,62,91,45,75,47,79,96,99,85,81,79,74,76,76,93,101,96,73,48,69,102,74,78,64,72,67,86,76,73,76,70,92,100,113,84,80,69,62,68,64,69,62,58,52,54,57,54,70,72,71,69,81,76
75,73,74,102,84,66,66,66,80,58,25,55,99,72,51,77,61,60,67,55,62,70,73,25,32,49,53,49,42,44,49,59,54,57,101,81,70,73,68,88,101,66,31,34,31,43,54,68,59,52,65,91,104,93,92,106,78,76,74,73,73,69,64,73,67,76,52,56,63,66,61,67,66,70,62,67,63,60,64,64,65,59,70,66,65,66,63,72,99,108,59,69,77,86,100,65,54,25,81,114,83,63,68,66,64,67,56,62,76,69,60,52,44,57,63,57,63,61,43,47,54,62,64,63,54,65,72,87,74,50,121,81,75,75,42,52,63,69,72,45,30,48,62,62,80,56,51,64,52,63,51,46,55,42,31,19,34,54,93,73,79,106,63,88,98,47,97,70,66,41,34,75,66,99,96,105,38,61,69,54,95,93,101,109,99,118,89,83,82,96,86,80,60,70,69,87,72,73,80,115,106,65,98,39,72,82,80,80,84,94,101,98,119,90,103,86,74,106,61,88,82,85,68,95,66,81,87,85,81,65,74,61,62,84,72,85,67,60,63,65,63,62,63,68,64,59,55,55,55,54,69,77,70,66,67,68
85,70,54,63,61,74,64,60,60,54,65,71,61,68,75,95,85,106,77,69,70,71,67,79,91,87,49,37,60,60,64,64,62,55,71,65,59,70,89,82,79,91,92,73,67,73,79,72,38,35,40,54,86,52,50,49,55,73,114,82,74,78,85,70,67,66,70,88,83,39,54,48,58,65,65,71,71,65,68,69,59,85,75,67,75,71,68,65,63,89,66,58,61,59,59,81,73,74,74,20,21,70,63,63,66,64,65,53,55,61,71,85,62,48,55,55,49,55,48,60,60,63,54,56,48,77,20,19,61,57,36,38,92,68,72,58,14,25,82,67,44,61,47,59,99,57,86,68,29,98,81,37,89,49,81,95,65,53,122,54,92,69,66,25,84,32,69,66,71,89,65,60,75,83,48,62,81,81,65,64,103,83,94,88,61,74,69,78,69,83,76,82,75,72,78,54,65,60,88,39,55,71,49,117,92,73,76,61,80,62,60,79,80,37,90,66,77,57,88,86,78,73,81,79,89,71,67,65,84,69,82,73,74,87,112,77,79,76,70,76,37,71,47,61,88,70,66,61,57,58,59,66,81,74,75,70
81,68,70,73,75,97,87,89,68,68,60,58,53,79,80,63,54,55,52,80,50,72,94,98,78,72,71,77,70,36,56,64,63,61,78,70,70,70,67,59,64,101,98,79,67,69,66,62,75,71,71,90,77,34,41,63,68,67,55,47,49,97,87,80,64,85,118,82,68,77,108,84,98,106,79,39,61,63,68,70,65,89,68,72,66,73,66,79,68,63,77,62,65,62,55,41,71,103,81,69,100,74,69,67,76,65,67,57,66,68,64,39,63,48,80,63,60,53,50,62,70,47,28,40,64,60,66,81,57,60,61,75,14,69,60,87,91,52,64,60,65,62,65,46,52,54,94,68,79,100,80,77,91,25,72,89,103,49,99,74,72,83,33,80,114,75,52,68,52,52,31,69,65,66,70,63,74,77,67,84,73,63,68,55,65,101,93,76,72,69,64,83,73,76,73,78,83,76,73,98,105,100,70,90,105,86,73,76,62,88,89,118,66,109,75,73,51,59,57,43,78,74,79,78,96,101,92,90,91,83,46,82,80,57,63,61,115,59,74,88,88,75,77,76,76,67,65,55,93,104,101,70,71,75,74,78
82,80,81,81,83,74,72,68,71,74,92,66,58,67,22,54,62,51,94,64,69,48,65,63,62,61,64,65,86,86,84,69,37,52,80,68,67,68,66,62,70,65,55,53,54,61,78,92,90,91,84,79,73,69,84,68,35,56,66,68,59,56,57,50,90,92,58,46,77,76,46,89,84,82,67,77,96,65,50,47,44,80,73,72,86,67,64,75,80,72,56,80,84,65,69,40,50,37,69,75,13,29,48,61,108,92,78,74,77,112,115,67,67,59,59,58,55,48,46,56,39,50,79,59,60,57,57,72,70,51,67,65,65,65,59,38,47,71,46,62,58,62,39,50,85,38,58,71,61,59,47,92,64,64,46,23,27,94,24,86,116,51,42,68,61,66,37,105,87,102,97,108,104,83,73,70,73,73,63,74,78,79,81,71,82,68,64,70,81,93,110,106,75,81,75,86,78,70,67,77,64,51,64,84,69,69,84,76,104,59,36,109,62,74,70,64,63,73,106,54,77,119,88,57,76,66,88,79,80,82,96,53,59,59,62,77,83,76,79,76,70,105,80,78,80,76,67,76,69,70,58,57,54,89,96,79
86,61,75,84,77,75,80,80,80,63,79,65,68,68,74,87,56,73,68,69,65,83,97,43,72,76,64,65,69,56,66,109,107,100,64,68,67,69,66,71,70,65,73,66,69,64,61,61,54,58,57,84,95,98,81,71,77,99,93,49,68,67,60,61,79,59,62,87,75,49,89,74,78,70,80,83,81,75,85,89,91,85,71,67,64,73,68,70,66,70,74,75,67,71,72,83,92,92,85,82,88,93,75,9,37,34,40,59,42,48,47,78,85,97,69,62,71,62,58,87,74,65,38,88,74,69,93,69,67,45,54,65,65,55,70,35,89,56,57,65,68,71,42,66,51,70,57,54,57,67,68,50,85,98,63,40,76,75,115,121,55,46,46,84,46,59,77,68,73,78,74,64,60,69,86,70,74,71,76,74,79,73,64,71,76,77,71,50,63,69,54,74,72,79,54,64,49,75,104,114,94,78,71,64,70,71,73,75,73,97,100,74,86,73,84,82,71,61,68,89,68,73,53,60,76,63,89,78,83,77,77,82,86,87,73,65,86,97,90,62,46,47,88,73,59,63,68,62,69,69,73,71,70,72,45,53
59,92,84,75,47,75,85,81,83,81,74,82,70,73,71,88,76,85,74,73,68,68,64,71,71,43,40,36,41,48,61,75,66,79,99,88,69,55,70,70,86,66,71,67,64,67,64,64,65,63,72,67,61,61,55,99,108,92,86,76,79,80,48,62,63,71,103,92,87,85,71,77,73,82,73,73,74,70,72,74,84,94,85,92,90,93,47,36,52,73,71,68,82,108,84,72,71,69,85,28,76,85,70,64,68,102,18,34,66,64,60,57,53,52,61,103,61,55,55,63,59,68,83,80,79,60,50,49,58,55,67,85,85,30,75,92,64,64,43,71,74,85,77,21,50,83,53,55,73,66,68,69,78,75,82,62,85,51,31,91,83,97,77,79,59,61,61,52,49,74,88,95,74,67,76,76,72,74,68,79,88,75,86,68,54,59,75,56,72,78,70,74,70,79,76,74,65,72,62,50,62,63,78,101,74,74,74,79,70,81,72,57,86,95,37,85,57,73,74,74,75,70,84,77,55,62,71,76,67,68,54,65,75,81,80,78,80,76,54,59,86,75,68,76,71,57,76,69,71,73,80,73,72,77,69,71
55,55,57,90,76,75,56,60,83,79,75,90,98,107,94,63,69,63,79,105,96,91,81,75,75,69,87,82,77,78,83,79,79,75,61,55,80,100,76,65,47,65,73,71,63,69,67,65,66,59,72,66,67,70,69,54,56,55,47,52,49,80,77,82,40,66,76,86,89,90,82,89,92,86,82,79,72,76,75,79,72,76,59,62,62,75,101,94,100,100,75,49,41,82,85,92,80,83,93,137,122,90,71,80,87,83,80,75,39,62,66,57,55,61,54,49,87,95,61,57,76,52,46,44,60,62,62,27,67,74,87,61,40,53,44,57,55,110,94,71,94,61,33,27,94,94,63,72,52,76,60,68,49,85,35,56,86,46,94,101,61,86,61,67,84,32,65,87,81,92,36,50,77,77,77,71,73,71,69,76,62,75,67,59,95,64,79,110,63,75,70,72,80,71,52,91,72,78,71,70,71,81,71,61,40,48,79,107,86,71,58,82,58,51,93,72,69,90,75,72,78,73,74,73,91,65,72,75,62,71,94,81,85,77,88,86,86,92,55,77,76,76,65,60,80,58,42,59,70,66,78,78,75,74,60,72
66,74,66,44,52,60,64,93,86,58,70,88,85,76,51,92,79,57,70,48,43,49,63,101,55,55,57,70,54,75,68,67,76,74,42,61,69,72,61,89,102,84,72,86,64,49,60,63,63,69,67,74,70,70,70,54,63,72,69,67,70,57,58,88,85,79,39,71,76,72,69,68,77,80,88,90,87,84,85,81,77,78,80,72,77,72,73,72,64,61,53,61,100,118,113,78,59,57,60,61,60,53,92,68,50,62,100,85,83,33,40,50,56,53,52,61,62,52,53,50,48,63,56,62,56,63,103,80,66,45,46,64,98,99,108,60,56,50,38,79,58,64,35,51,43,72,62,72,62,74,60,60,62,88,75,59,60,61,22,36,62,97,103,41,97,85,75,77,71,72,53,84,40,52,67,73,64,66,70,71,70,67,74,73,75,79,75,64,68,92,85,85,109,105,68,55,69,68,61,102,78,71,74,71,75,78,75,64,51,53,113,76,75,70,71,62,103,80,74,84,71,78,68,75,75,94,62,74,71,48,77,70,64,56,53,44,62,76,57,58,67,80,78,81,78,75,77,84,83,67,57,69,71,66,71,67
74,70,71,68,92,59,50,61,62,92,87,90,53,68,65,56,79,84,90,75,67,26,43,52,77,72,69,67,76,57,55,55,55,71,73,80,68,84,54,46,62,58,57,89,80,73,66,48,51,68,70,69,70,69,76,62,56,72,57,67,86,72,68,68,49,77,79,101,69,53,76,79,77,74,68,65,64,69,77,84,85,88,88,76,74,71,74,73,72,70,72,68,63,69,67,66,73,76,77,74,69,76,69,74,71,61,62,52,107,113,105,109,56,47,45,48,55,59,52,62,100,80,34,54,64,65,60,73,61,52,56,58,47,44,51,62,60,62,67,107,81,77,43,62,69,79,67,70,90,73,53,70,93,84,63,78,89,88,89,80,66,89,70,129,52,72,80,94,97,85,55,59,83,92,93,96,85,74,79,57,60,63,67,73,75,77,74,68,63,77,68,59,58,48,70,73,72,70,79,75,77,73,69,68,93,79,78,80,83,70,67,69,75,74,68,50,73,56,70,43,73,72,77,82,72,74,75,73,71,76,93,69,87,65,91,77,75,59,74,68,76,82,78,65,72,70,71,76,79,81,81,94,66,78,60,43
73,78,71,73,69,73,66,95,62,28,83,96,49,35,53,67,74,58,66,64,66,70,83,52,55,46,58,56,50,68,60,56,57,57,73,69,79,76,74,77,87,50,57,68,62,63,91,77,75,74,68,62,71,68,73,60,79,54,68,56,78,69,72,72,76,77,73,84,88,94,94,40,68,78,79,73,71,77,71,75,73,73,52,73,73,76,72,72,75,73,75,73,73,74,69,73,75,76,71,71,66,72,72,75,68,66,61,64,56,52,81,84,80,85,74,64,51,47,43,36,33,59,83,99,65,51,59,66,58,62,63,58,56,60,61,61,101,64,86,20,13,83,55,72,47,45,74,61,60,102,68,79,68,21,112,89,95,69,37,48,69,93,86,39,62,70,75,86,78,71,75,70,70,60,71,75,95,48,81,75,70,78,74,61,62,67,73,65,59,66,80,72,73,62,76,75,74,71,70,79,81,70,69,74,72,66,80,76,79,77,81,83,61,72,89,90,75,75,83,100,76,79,72,80,71,66,81,70,81,73,77,70,83,95,82,77,83,57,72,58,71,70,77,62,73,59,73,80,80,87,74,78,72,60,51,60
89,60,48,64,73,74,74,63,78,80,78,30,81,72,79,89,76,61,69,60,60,63,62,66,66,75,63,71,92,63,70,65,102,102,112,96,84,76,70,75,71,75,84,80,63,43,41,35,51,65,92,76,93,85,45,77,67,51,61,70,72,65,71,74,87,75,79,75,67,44,69,86,92,56,44,52,42,56,69,77,78,65,73,74,74,69,77,75,77,71,73,76,71,79,76,74,71,71,72,67,75,73,69,68,68,74,67,61,70,66,63,50,73,84,120,112,58,62,65,69,77,76,49,45,43,99,91,51,73,49,47,48,40,48,54,51,58,60,36,89,77,63,73,76,53,45,60,74,67,90,51,70,79,50,42,73,59,51,85,75,48,40,73,81,66,69,76,84,90,78,89,88,71,61,61,81,80,62,42,63,86,76,70,66,74,85,67,98,70,76,44,68,67,72,71,70,71,71,74,74,74,72,67,71,74,74,62,70,75,76,79,78,69,79,82,65,55,89,111,90,90,102,82,76,83,74,82,70,76,75,79,97,59,74,65,62,72,86,93,80,72,61,90,75,69,76,64,73,77,71,81,79,77,57,50,54
59,73,111,109,76,51,41,77,93,44,83,75,78,68,70,64,59,61,68,70,71,60,56,59,58,58,54,58,65,71,91,56,58,62,56,48,52,63,69,90,102,87,88,79,79,70,69,73,66,69,72,62,58,62,73,81,91,81,83,45,82,92,95,79,83,65,63,67,79,52,58,52,48,76,95,89,84,90,82,62,45,64,75,68,87,86,47,59,80,77,77,68,76,77,67,76,78,70,70,69,71,69,73,73,71,73,74,66,63,60,64,76,42,46,50,45,108,65,68,64,63,60,59,62,63,76,68,31,42,36,54,65,97,80,99,60,66,67,69,61,72,49,66,59,60,62,80,66,116,94,86,107,107,88,75,85,51,55,71,60,84,81,76,98,73,65,67,68,75,67,68,71,82,68,68,73,71,75,76,79,120,99,97,83,69,63,69,77,72,75,72,99,103,101,94,67,59,55,54,59,73,73,66,68,74,70,67,89,69,72,78,79,79,79,81,69,71,78,73,63,57,68,56,56,62,45,54,50,86,78,91,60,80,97,77,75,85,52,70,66,89,74,67,71,75,74,79,90,100,96,64,58,66,67,71,65
64,64,68,65,92,79,78,80,89,80,74,73,72,67,66,72,67,72,81,77,90,80,73,70,62,65,62,66,75,73,69,86,44,58,42,33,49,69,66,68,54,54,52,68,108,98,107,90,66,57,60,53,60,67,60,60,63,59,60,63,66,64,67,64,72,74,69,67,70,53,66,63,58,64,50,72,114,94,90,64,63,81,65,63,69,70,68,80,70,52,76,73,75,70,74,74,76,77,70,69,70,69,67,77,74,75,74,73,66,61,72,75,70,69,67,56,48,68,103,75,59,60,55,65,46,48,56,54,80,96,106,80,62,64,57,51,86,100,89,73,75,69,84,75,59,71,41,52,62,72,104,105,94,67,23,55,65,23,79,96,78,73,101,69,102,93,83,69,76,37,63,89,112,121,93,48,56,110,103,66,55,50,102,80,76,72,80,71,67,68,71,78,66,67,62,73,73,73,72,92,74,95,97,100,80,51,63,70,89,68,68,76,71,92,72,76,75,74,80,76,78,79,76,80,75,77,77,81,77,115,59,70,79,77,69,78,75,94,69,79,50,68,64,67,78,79,71,61,54,76,77,70,69,62,61,63
68,62,68,68,65,57,50,47,57,95,77,68,67,68,64,56,67,73,76,43,46,48,38,66,109,77,88,99,52,93,97,79,91,103,75,65,80,62,57,52,56,68,72,70,68,70,62,62,60,62,70,91,73,67,58,58,66,60,58,66,62,63,66,67,65,68,61,64,60,71,68,33,52,61,65,63,59,45,48,41,74,81,67,66,72,68,73,71,69,80,75,41,49,64,71,75,78,74,72,72,72,72,69,66,73,71,73,71,71,71,60,69,67,76,67,59,59,53,50,48,61,82,97,59,61,60,51,59,60,28,40,39,69,58,68,57,97,65,70,69,98,68,70,95,87,68,81,44,32,46,21,86,99,81,104,99,67,64,76,45,109,116,121,110,51,97,93,55,88,35,51,81,99,82,115,71,48,60,103,57,93,43,107,82,70,34,34,87,96,75,70,75,75,65,69,72,63,70,70,66,70,69,81,71,75,72,80,62,65,93,70,73,93,108,116,102,74,146,70,53,51,53,63,71,78,71,80,77,83,70,86,83,81,77,93,63,80,72,98,107,76,63,69,68,76,67,69,66,82,61,58,60,57,53,57,61
78,72,72,72,71,63,62,60,73,54,58,102,95,65,61,59,64,63,48,37,65,100,62,64,62,40,52,57,58,57,38,87,75,76,70,65,66,63,84,76,76,86,72,36,66,49,69,77,75,73,76,73,64,80,71,59,69,64,56,60,67,74,72,69,70,68,67,62,67,64,64,81,90,89,92,58,21,32,70,89,75,39,55,108,55,74,94,77,73,65,70,69,71,75,71,55,41,48,67,75,73,72,68,68,71,69,72,69,63,67,66,71,60,27,53,56,56,65,65,56,49,54,69,110,109,94,74,67,60,63,68,58,46,55,63,42,45,36,20,64,49,95,31,76,49,91,63,80,49,54,56,110,64,46,81,62,89,54,65,53,72,54,55,97,59,73,80,52,103,83,85,80,26,35,65,105,65,66,61,89,58,48,50,72,75,77,80,78,59,112,96,67,72,68,67,66,71,69,77,66,82,74,70,76,52,69,68,61,85,55,86,77,64,76,71,79,49,67,75,64,65,69,102,143,145,81,56,66,72,81,97,87,79,81,83,75,82,68,79,74,87,74,73,69,53,66,70,69,63,74,59,58,58,59,60,68
74,45,53,73,72,70,65,64,69,73,71,70,64,56,66,58,59,58,58,72,34,66,45,60,51,93,71,66,56,64,64,115,121,111,106,91,91,86,78,68,72,70,68,69,72,82,56,67,73,74,72,71,73,70,65,73,42,26,87,71,61,59,74,73,69,63,66,62,68,74,70,66,70,62,58,59,68,73,71,71,33,51,56,86,50,56,45,47,103,95,75,68,63,65,81,79,76,85,90,108,77,39,39,47,63,73,67,67,67,67,70,62,61,90,123,151,169,143,67,31,53,63,53,31,26,28,25,94,57,41,57,60,58,90,89,58,88,54,85,61,68,80,74,67,41,54,82,105,60,71,65,52,59,45,66,68,76,53,87,105,88,88,66,72,87,78,68,33,59,110,118,77,78,94,77,83,69,49,97,87,73,86,72,67,79,108,78,71,50,63,61,74,71,64,68,74,60,62,76,69,78,67,65,74,76,81,70,62,65,66,65,74,73,75,76,74,85,61,93,80,76,85,81,76,64,44,52,88,151,142,61,77,77,74,78,64,60,67,45,83,94,88,110,106,92,71,66,54,52,56,57,61,63,64,64,58
62,84,84,89,68,34,34,48,59,65,79,65,41,92,76,74,63,57,55,66,73,66,74,81,93,60,29,37,51,63,67,68,53,58,57,66,50,51,64,90,69,68,63,67,70,65,66,77,78,70,47,60,70,76,76,71,66,62,96,33,65,69,71,69,72,61,61,57,67,29,70,53,50,62,73,60,60,64,60,62,55,68,76,79,93,96,30,34,37,40,97,93,95,96,79,77,99,98,82,54,63,76,97,81,73,76,39,61,71,73,65,71,72,65,56,55,46,56,48,55,105,117,116,111,103,110,101,109,116,64,57,48,63,79,64,65,73,43,82,67,80,66,91,96,104,92,78,56,29,27,54,20,42,97,70,83,96,109,112,82,58,75,80,83,72,81,73,74,76,55,58,88,65,65,73,67,78,71,69,60,67,66,75,70,81,56,88,91,78,83,71,77,65,71,69,83,62,68,71,75,71,76,73,78,70,76,65,72,74,67,72,68,74,81,74,71,70,69,87,47,73,64,59,59,64,68,76,74,71,57,60,129,114,77,73,76,75,82,66,62,62,59,57,72,102,84,78,62,70,64,67,26,55,64,65,61
71,69,65,60,54,73,106,112,106,82,100,92,77,71,69,76,76,71,108,93,95,100,88,62,105,88,86,82,91,90,55,33,39,59,69,79,66,80,63,47,63,70,63,65,63,65,69,60,63,55,59,67,68,73,67,51,53,62,68,68,80,61,82,69,68,65,66,75,70,67,41,61,63,61,53,71,78,71,74,72,76,74,93,86,78,78,81,80,95,97,60,67,16,50,71,83,50,59,54,78,74,54,51,44,51,74,86,84,52,43,54,61,71,66,74,55,55,67,60,61,57,53,57,52,50,54,56,53,54,84,104,84,77,76,64,53,62,53,69,64,70,53,35,78,43,69,19,16,77,107,30,30,91,101,70,112,102,84,63,84,121,80,64,64,83,75,78,76,70,67,82,55,43,97,97,79,84,100,96,72,71,71,49,40,50,86,64,51,75,91,66,89,79,65,65,66,55,67,67,90,78,75,69,72,69,72,72,71,78,80,76,71,77,111,87,82,84,77,77,99,116,73,74,80,102,65,74,67,64,71,66,69,67,80,74,75,75,79,73,57,78,65,61,71,74,62,79,96,81,93,90,105,84,75,61,61
74,71,76,71,64,59,58,56,55,64,71,70,70,71,68,72,68,74,51,57,59,47,75,71,51,47,51,50,54,49,87,86,76,67,99,94,74,85,83,73,65,69,68,67,74,67,63,66,64,62,66,64,63,64,56,61,69,76,69,68,62,100,83,20,50,117,88,87,64,65,68,49,66,61,62,61,57,61,66,72,65,64,68,63,61,69,91,96,85,73,76,75,66,75,66,69,79,79,76,77,70,83,71,76,73,45,65,64,60,93,86,98,67,75,50,62,50,72,59,65,64,65,54,60,60,60,58,59,58,66,58,42,48,89,76,62,50,71,60,57,53,66,68,55,54,58,46,67,76,62,69,63,90,73,52,49,53,68,42,108,89,96,118,96,66,62,83,71,78,79,82,70,76,76,72,78,75,53,94,64,68,66,82,90,82,59,57,65,85,65,63,50,90,69,64,56,69,72,69,63,70,69,79,71,76,69,70,79,62,90,72,78,87,104,82,64,64,89,82,81,87,76,123,100,121,75,69,71,71,74,71,80,72,75,73,74,65,66,69,62,71,77,92,72,80,66,71,68,70,76,82,70,62,79,91,96
74,73,76,77,75,64,62,60,63,91,67,63,75,70,75,77,74,75,56,56,65,63,79,76,54,57,60,56,55,55,53,51,47,72,105,93,93,81,76,74,76,64,77,51,59,86,97,98,109,112,93,71,75,92,66,66,71,66,74,89,82,64,28,95,50,51,68,59,74,76,63,66,83,84,41,50,61,60,58,67,65,71,71,68,66,66,64,61,55,45,52,47,57,68,97,80,96,48,49,49,60,92,78,71,66,72,80,50,63,61,59,68,89,96,76,78,90,59,46,55,47,45,43,43,50,59,53,61,62,61,60,58,53,41,107,91,84,74,56,56,58,67,55,46,77,57,52,78,115,69,29,29,83,90,55,81,88,98,69,46,48,46,87,101,102,83,92,83,53,83,81,93,76,82,65,79,68,67,77,83,76,84,80,73,68,73,71,84,23,81,71,77,63,63,91,69,97,111,84,68,67,66,59,76,76,61,78,80,86,85,77,90,82,86,109,66,77,75,70,60,89,78,107,57,78,58,64,64,63,60,83,72,68,67,69,66,64,65,61,64,62,69,72,68,70,91,72,76,69,70,71,73,76,70,70,67
74,69,58,46,44,54,95,71,68,67,63,66,63,66,69,70,60,61,67,89,51,57,76,74,63,65,60,56,56,55,57,51,99,58,58,55,52,55,84,102,115,95,87,69,47,71,69,84,61,58,51,66,89,70,91,68,63,66,67,67,68,77,82,58,72,85,38,50,63,98,63,64,67,36,81,114,102,52,68,65,68,62,61,62,62,69,62,62,68,69,57,63,60,68,73,53,59,64,62,60,71,65,111,89,83,79,71,68,84,66,41,37,48,54,44,97,77,79,73,89,90,94,76,89,85,82,88,78,60,64,40,52,60,53,62,64,60,65,96,71,74,59,87,79,60,54,63,98,27,89,63,31,110,39,99,71,74,74,60,69,78,84,66,65,60,92,97,79,74,61,69,70,74,70,68,77,63,70,76,84,77,69,65,53,63,54,73,98,84,73,59,63,73,70,54,82,75,75,43,86,78,63,67,93,78,83,83,86,73,83,78,89,76,63,75,79,76,90,98,80,70,69,65,73,79,79,99,111,103,65,57,53,57,59,66,63,58,59,63,58,58,73,77,72,67,59,78,68,82,71,71,69,75,72,70,68
92,77,74,67,68,67,63,62,66,80,98,109,96,69,68,61,60,59,58,77,48,66,64,74,73,58,57,63,53,57,55,63,61,71,69,67,71,68,68,62,58,53,89,80,80,61,77,81,70,72,71,70,80,63,55,54,65,80,73,74,68,66,67,86,70,71,70,67,26,43,68,92,67,89,61,49,48,55,96,85,71,33,45,44,58,62,65,60,57,60,60,61,62,65,66,65,70,70,68,69,68,71,62,65,85,72,84,72,66,77,72,75,85,59,67,69,51,74,50,48,49,47,52,49,43,48,61,94,102,105,94,82,86,74,49,31,55,66,56,44,41,33,98,55,77,52,79,65,84,77,97,40,102,61,86,99,72,121,65,70,64,69,72,49,72,128,97,86,71,74,81,72,73,62,63,74,65,77,77,63,41,74,69,71,76,83,62,72,58,91,83,67,76,73,66,78,73,83,87,69,69,75,69,75,81,83,79,73,68,72,73,73,66,110,77,79,81,80,79,67,67,68,62,69,40,80,92,83,82,79,74,77,78,68,68,67,67,61,58,56,59,48,65,65,63,66,68,76,68,69,70,69,68,68,69,73
64,43,67,75,70,72,72,95,67,44,45,49,26,72,68,64,60,62,58,62,37,45,47,65,72,57,65,62,72,59,66,72,69,65,70,70,69,69,71,68,69,71,83,83,78,80,66,75,73,72,79,68,88,62,61,63,55,66,71,75,68,64,67,75,72,67,70,71,81,88,38,58,61,85,105,108,83,84,67,60,61,64,87,117,116,102,81,56,33,52,56,65,67,67,70,72,71,67,68,67,69,68,74,64,41,56,105,81,70,72,70,71,67,71,22,38,44,35,28,27,27,40,56,60,61,72,63,58,55,61,49,45,36,95,102,97,60,79,51,73,76,43,61,10,58,68,61,81,44,89,36,120,135,87,44,106,97,82,75,71,97,86,85,76,50,56,54,62,92,77,82,94,76,82,72,92,93,51,64,70,48,57,102,63,62,64,59,74,106,54,60,42,83,99,95,101,87,107,75,63,82,92,73,65,64,74,78,76,80,73,80,76,84,80,83,87,83,78,67,78,71,103,90,107,110,68,58,58,51,53,77,73,79,79,74,63,68,70,59,70,73,65,71,89,81,78,77,74,61,63,57,58,68,73,68,77
67,56,52,58,91,67,36,48,55,58,61,43,91,69,65,71,70,63,62,66,68,59,60,59,67,61,46,67,65,62,64,67,67,71,70,73,80,76,68,69,71,74,103,83,76,73,73,74,68,76,76,70,79,61,58,63,72,72,64,82,73,73,67,64,67,68,70,75,75,80,79,22,38,62,53,25,32,76,75,76,99,73,81,51,46,56,69,73,57,113,97,105,86,45,36,65,77,73,72,75,72,75,67,69,72,67,67,56,58,100,75,68,67,65,70,71,69,72,64,65,60,59,54,59,58,59,54,57,50,45,49,59,60,37,70,47,42,72,63,43,61,23,37,65,71,40,83,97,85,82,103,84,86,65,69,81,69,68,76,81,59,57,74,114,92,72,61,50,38,47,51,78,88,69,80,68,73,74,98,103,75,81,74,74,89,74,71,74,73,91,97,100,99,83,70,43,35,46,80,76,79,60,73,79,90,117,97,91,104,113,106,91,87,71,67,74,79,74,64,68,74,62,65,72,67,63,82,72,90,82,53,79,96,86,67,63,74,76,65,59,59,57,66,68,77,78,71,71,61,69,63,71,71,66,66,67
85,60,58,48,58,69,54,35,56,45,89,107,75,72,69,71,74,69,65,68,80,81,61,59,57,69,87,52,50,70,70,68,68,71,68,69,71,69,72,69,70,70,65,101,88,84,78,71,66,73,74,72,76,58,59,57,77,74,71,64,71,89,69,63,66,65,69,73,71,69,68,71,76,71,83,73,75,69,59,68,26,53,55,39,50,62,61,85,48,50,57,50,45,49,92,109,82,47,69,71,80,73,69,65,63,69,62,69,71,62,56,89,70,59,64,59,65,65,53,58,57,73,38,34,89,94,84,83,88,79,75,51,46,50,36,51,68,63,32,56,58,84,84,84,87,8,89,40,105,65,50,95,78,107,68,66,63,72,70,84,70,78,68,56,55,74,94,78,81,73,49,55,46,79,97,85,67,60,74,74,76,71,81,66,61,50,56,87,96,84,103,90,107,80,71,76,76,74,76,81,67,81,72,65,43,52,39,47,62,93,74,51,44,69,60,52,79,106,127,121,76,79,51,48,35,85,91,80,56,82,76,47,83,87,55,62,69,73,69,67,70,71,71,69,89,68,68,65,75,63,62,61,78,80,75,74
73,55,71,67,76,72,62,67,74,113,76,44,75,104,99,86,70,75,70,74,53,83,68,71,72,70,79,31,87,89,47,61,64,68,68,65,70,67,69,73,69,74,74,64,57,88,68,55,61,72,78,73,103,62,59,60,71,74,74,74,78,71,74,87,70,71,72,76,66,70,61,91,80,66,78,90,66,68,64,62,73,32,94,80,60,55,57,73,15,22,31,61,65,57,55,47,44,89,134,110,55,72,69,69,68,65,63,63,63,59,67,64,66,69,72,67,69,72,64,56,51,57,62,61,67,67,64,61,61,67,61,71,66,70,75,74,96,88,57,49,63,38,44,35,63,117,84,95,14,76,84,59,54,76,75,73,75,79,69,78,71,70,73,83,75,69,61,48,61,113,79,78,57,60,72,49,83,71,66,67,75,39,29,65,67,77,81,73,71,46,64,73,67,56,107,91,114,100,87,77,114,115,93,79,91,83,84,98,118,122,119,116,105,102,73,56,97,115,41,27,58,30,50,64,66,60,66,97,97,86,80,68,80,64,70,69,79,71,81,65,65,69,63,66,75,67,63,56,59,64,65,62,70,65,64,66
46,58,88,96,93,95,83,67,69,82,33,64,61,40,40,41,63,57,60,62,76,73,61,66,72,72,81,79,63,60,71,85,90,52,67,72,70,64,54,64,72,70,72,68,59,76,66,71,33,35,78,35,63,60,57,91,73,70,74,78,75,75,76,79,86,91,67,75,71,70,85,47,55,60,43,54,97,83,66,64,66,67,59,66,59,87,80,74,68,70,83,87,35,60,70,60,60,58,57,50,54,134,97,46,73,64,59,60,67,63,67,62,49,66,87,79,63,67,71,66,65,61,64,65,69,66,59,64,67,56,62,65,61,62,67,63,59,72,111,35,55,53,85,96,43,49,61,39,57,90,76,66,98,77,77,87,62,66,62,89,84,65,75,62,68,73,75,75,75,63,60,112,85,89,68,61,75,100,96,93,98,88,75,62,55,49,53,59,70,72,75,75,80,86,84,74,71,74,60,63,119,76,97,90,82,81,80,82,77,82,83,81,79,81,77,69,90,94,60,59,56,74,69,67,74,69,64,65,77,92,104,96,83,65,71,64,85,82,74,72,65,59,68,67,63,62,64,64,68,55,63,69,73,71,59,52
61,58,56,54,53,51,54,94,95,91,94,79,71,61,66,64,65,72,70,68,72,76,68,66,75,66,72,71,63,69,74,69,72,82,93,42,102,91,79,57,66,75,79,73,58,72,73,97,84,81,78,79,72,72,31,50,49,48,71,75,76,76,38,48,60,68,44,74,70,71,68,73,63,37,67,70,58,46,64,97,107,65,62,100,85,102,97,75,68,68,66,65,72,86,67,31,61,64,65,63,70,50,71,53,135,66,48,64,65,63,66,68,67,69,49,99,74,66,72,77,74,72,69,85,107,74,74,86,67,78,83,95,99,106,104,103,76,82,67,60,60,90,62,73,59,108,73,63,120,41,33,105,86,85,76,70,86,74,71,74,69,72,71,77,80,74,78,70,69,63,69,64,65,95,68,84,88,55,52,55,69,72,98,72,72,66,71,75,84,94,56,58,80,71,63,72,78,73,73,99,86,69,77,65,105,114,99,92,87,78,90,86,82,70,71,85,50,68,104,97,90,108,72,55,56,53,60,70,91,71,65,58,69,60,54,59,53,75,82,75,69,77,75,65,67,67,61,58,85,80,88,81,54,56,85,99
55,57,53,59,56,66,58,55,53,52,48,59,51,46,57,55,49,52,47,68,101,78,78,73,69,66,69,62,88,63,64,77,60,80,70,64,78,77,82,52,72,99,49,42,81,78,45,59,62,83,73,80,72,75,79,79,76,71,81,87,79,95,92,93,25,34,97,66,77,69,72,74,77,83,93,54,35,54,63,56,58,57,59,60,55,53,53,68,95,83,75,72,68,68,67,74,78,49,28,52,64,88,65,83,69,46,88,114,68,50,68,67,66,71,69,66,47,63,90,66,69,58,53,63,46,51,45,53,53,54,57,52,53,51,57,53,67,54,94,64,59,83,76,47,92,53,19,58,57,59,94,42,93,78,100,57,70,72,73,69,72,79,70,73,76,76,72,69,74,70,70,70,73,63,64,66,72,84,94,72,57,68,74,50,73,81,78,83,72,71,72,83,89,84,105,144,95,141,90,84,62,84,84,77,67,63,57,94,84,79,48,55,82,69,77,76,85,53,87,78,92,60,62,50,40,70,66,61,47,44,66,85,76,71,60,64,63,61,66,47,38,88,69,79,77,86,100,79,56,82,63,67,62,63,60,62
57,60,58,60,60,58,55,58,58,58,60,57,33,46,81,67,58,62,65,39,34,83,63,70,56,57,65,35,53,65,70,77,65,78,61,65,60,65,80,59,62,83,75,74,78,91,69,77,66,79,75,70,67,67,76,77,76,77,74,89,83,85,81,80,87,89,73,69,71,75,72,76,74,74,70,67,72,84,45,44,62,60,61,61,67,65,60,60,51,49,54,78,89,70,70,68,64,62,71,84,93,78,52,56,67,61,60,35,76,123,70,43,41,66,68,74,66,66,57,87,70,63,66,90,50,30,56,55,59,59,67,69,60,69,68,58,64,67,53,58,50,24,67,68,59,53,64,84,29,71,58,69,56,47,62,89,61,72,74,71,75,62,77,76,71,74,76,77,71,73,77,71,78,78,77,74,72,66,85,60,85,74,47,65,67,67,71,59,87,75,101,83,84,93,55,71,78,66,49,72,58,73,120,60,78,83,89,79,50,81,78,81,82,70,85,84,87,82,81,80,69,65,66,65,51,57,54,56,67,65,80,63,57,60,55,66,60,54,67,61,70,79,60,31,21,61,56,60,89,61,65,64,64,64,65,67
63,46,50,55,51,51,57,58,55,45,89,83,67,70,60,69,69,58,70,77,75,61,61,64,61,61,61,68,70,73,68,53,57,60,65,67,62,71,85,86,63,79,71,71,70,75,71,77,104,86,77,78,67,66,67,68,79,77,81,13,22,59,61,59,63,69,69,63,64,106,123,111,113,103,85,78,76,58,69,87,80,119,43,32,47,57,61,63,61,57,60,58,51,57,96,115,110,104,92,74,71,75,71,71,30,63,64,58,60,45,68,49,107,85,83,54,37,42,60,52,67,66,68,65,75,69,53,59,63,64,64,61,63,60,59,64,68,79,58,79,48,55,36,83,100,94,63,52,55,108,36,95,61,80,49,82,85,82,56,62,69,74,65,70,72,69,70,80,77,77,78,77,67,70,69,73,74,68,71,69,69,67,70,93,58,71,73,77,77,69,70,44,67,86,81,93,77,67,79,86,76,83,75,77,137,73,50,57,56,91,71,80,85,74,73,86,77,74,73,62,60,68,67,52,49,51,55,57,62,54,57,56,58,55,59,58,54,58,58,64,71,68,69,67,75,82,58,51,60,64,61,60,60,60,58,65
68,76,77,80,73,77,57,73,83,62,62,64,55,64,70,54,89,70,70,72,80,72,73,66,101,59,64,64,65,60,54,73,94,66,68,68,62,63,51,106,76,68,70,72,69,67,71,59,62,55,54,56,65,106,101,77,74,73,76,80,75,77,58,62,71,76,69,70,74,55,59,65,62,57,55,76,76,60,64,63,60,57,62,90,49,60,63,66,64,63,57,59,59,62,62,54,55,44,33,65,69,64,64,66,83,91,25,30,43,51,56,51,55,34,74,96,73,86,80,92,55,62,62,66,70,59,67,50,61,64,67,60,60,62,65,65,71,60,50,58,74,69,89,47,43,77,25,52,78,56,87,70,75,64,62,117,50,54,88,81,106,84,83,102,92,84,59,55,69,79,69,79,71,72,76,75,78,64,69,66,70,63,80,80,78,91,90,53,57,61,58,84,73,68,88,87,89,95,112,130,122,86,73,70,63,76,73,73,82,75,85,80,65,76,89,64,70,63,69,65,58,68,72,68,68,57,55,59,60,65,64,56,56,57,53,57,60,59,65,66,70,72,76,70,76,62,74,86,95,85,73,43,49,29,56,100
65,67,70,71,71,72,72,64,58,64,66,60,61,64,63,45,41,82,83,61,49,48,49,61,36,73,69,70,59,66,68,67,73,70,66,62,64,52,56,55,57,65,70,69,67,59,65,57,44,61,72,69,69,52,49,41,50,80,112,100,78,70,72,73,61,57,67,72,70,62,69,63,66,68,67,59,80,108,91,85,75,47,71,66,44,62,61,58,83,59,68,57,62,60,63,62,63,63,66,59,62,84,62,68,78,71,75,74,89,96,32,47,53,58,58,44,36,75,116,114,96,92,66,70,60,56,61,85,68,50,57,61,63,62,70,64,61,61,66,91,130,48,98,59,70,42,124,117,106,80,55,83,98,99,97,96,126,57,87,79,67,79,91,82,80,73,71,83,71,63,72,74,69,71,72,84,71,73,79,92,93,83,66,84,84,78,73,84,95,111,78,82,107,101,34,28,30,46,70,68,68,72,93,86,107,77,83,87,114,106,113,130,113,71,54,53,60,64,63,53,54,53,56,52,51,54,60,75,85,67,56,69,51,90,90,84,68,86,71,67,73,76,72,71,71,68,65,62,59,66,65,63,66,67,72,72
70,70,81,83,73,70,67,67,59,61,64,58,61,63,65,80,80,49,64,90,55,59,57,59,87,63,65,55,57,63,82,70,74,67,76,66,69,59,53,57,54,51,59,64,59,63,60,62,65,80,65,72,79,73,66,59,92,62,69,65,51,58,96,82,71,72,85,50,75,69,68,69,67,64,63,65,70,66,55,83,74,75,65,58,71,80,95,92,79,33,69,84,53,56,58,59,61,63,64,63,66,49,83,74,73,70,70,66,66,63,76,97,114,107,58,37,54,51,32,33,38,23,74,69,60,64,64,58,61,80,53,41,38,48,49,56,65,65,65,47,76,43,50,59,52,60,49,25,92,124,81,75,85,60,97,78,81,93,93,64,74,112,123,63,70,57,80,79,68,85,67,61,71,69,68,53,62,66,66,69,69,43,48,69,74,80,79,81,79,79,77,58,88,117,98,83,87,84,84,73,71,80,55,88,73,72,80,75,46,51,58,62,66,64,84,74,72,72,77,66,71,71,72,67,71,82,75,69,61,72,60,65,71,55,55,65,45,58,58,59,56,77,98,83,81,72,74,66,69,66,65,67,68,68,65,70
63,69,62,72,75,102,92,83,67,60,65,58,66,56,65,70,72,85,110,74,58,51,51,53,62,70,74,71,67,73,67,88,94,117,65,77,71,64,58,59,56,56,62,62,64,61,62,58,66,60,48,80,43,61,71,63,79,71,69,73,72,66,69,61,68,84,84,79,61,57,50,65,66,67,68,64,64,64,70,58,112,98,87,71,90,77,72,61,64,66,65,68,70,76,37,61,64,62,60,68,63,61,98,75,72,76,65,64,64,63,65,69,78,74,69,93,110,117,106,91,74,80,68,73,62,71,66,68,63,60,65,64,62,56,81,85,61,60,47,73,80,71,59,73,61,46,36,16,101,64,66,78,75,82,79,53,92,72,73,76,85,41,65,73,61,73,82,90,77,69,74,79,88,98,100,89,84,118,92,105,110,85,76,75,88,70,50,77,83,80,76,94,101,87,81,72,69,69,74,70,74,75,100,75,67,73,65,78,51,60,72,66,65,66,64,80,70,71,77,61,62,65,64,65,65,76,74,81,71,67,61,63,65,72,48,66,66,70,69,72,71,76,68,50,46,79,76,100,92,80,71,62,61,63,70,69
65,66,62,68,71,56,55,57,59,59,65,67,61,60,61,63,57,65,44,57,59,59,58,61,66,76,78,71,74,77,71,70,68,67,63,92,62,66,62,58,59,59,66,62,62,62,69,71,69,57,65,73,70,68,57,62,81,77,71,76,76,70,88,64,71,65,58,87,74,64,71,101,86,42,64,67,67,69,70,67,64,55,47,129,99,42,60,89,95,74,89,71,67,67,78,53,66,117,88,38,44,75,60,67,74,72,78,65,66,64,66,81,58,105,79,64,75,108,108,106,83,86,86,80,85,92,74,64,67,66,66,76,67,66,63,59,63,66,77,36,29,28,99,73,97,109,82,54,66,56,70,67,74,76,89,72,61,70,77,64,71,74,86,68,59,47,65,64,45,57,96,87,83,85,77,78,78,69,74,68,74,102,84,71,76,85,97,95,76,81,83,78,81,78,100,97,89,92,97,65,78,61,82,73,72,73,67,69,58,63,63,66,70,64,69,71,90,76,68,77,76,65,75,70,74,79,78,83,63,67,66,64,63,65,74,46,71,61,59,62,60,69,64,65,65,63,88,73,42,44,86,106,86,92,89,69
62,65,47,81,85,93,102,103,101,104,63,80,87,100,78,74,74,80,87,54,52,59,62,59,82,74,76,75,70,74,74,69,70,75,75,66,75,106,86,99,87,81,77,64,61,68,65,61,60,60,62,63,65,69,60,62,58,28,52,64,57,57,66,69,73,70,69,68,63,55,77,91,90,90,93,51,69,72,68,71,78,73,69,70,66,58,107,90,70,68,60,69,68,70,68,89,102,101,70,73,73,31,28,63,69,71,73,74,72,64,79,64,62,58,55,93,114,54,45,46,62,53,55,36,43,46,36,116,74,65,61,66,62,61,68,55,54,63,59,68,64,94,89,56,66,44,22,95,62,64,70,73,79,77,77,73,85,72,45,66,79,71,74,79,74,70,91,56,63,68,68,67,58,63,58,52,56,50,63,77,91,86,98,105,94,93,87,101,88,90,90,101,120,104,94,83,82,85,84,80,85,88,89,60,60,68,68,79,69,69,69,70,68,73,66,70,67,90,74,72,75,73,67,73,75,79,77,78,95,65,67,66,66,62,67,74,57,65,66,65,65,52,60,68,67,67,65,91,74,53,61,61,49,55,43,64
98,77,85,54,57,59,65,69,60,53,95,75,58,52,75,62,38,67,94,108,101,74,41,53,52,67,77,69,72,71,73,77,79,89,79,61,50,57,56,74,62,64,71,75,101,53,61,77,54,63,63,63,63,73,68,72,70,55,70,93,102,109,71,68,74,71,70,68,68,67,73,64,109,113,89,98,49,70,72,75,73,74,69,77,69,68,70,60,59,111,86,86,74,75,64,65,59,101,77,72,72,80,80,79,42,54,94,84,73,74,72,61,71,73,75,65,59,59,68,64,69,69,70,57,56,51,55,44,41,125,90,54,92,65,67,64,55,56,61,59,68,86,78,50,66,93,57,66,97,104,113,93,76,66,72,62,58,82,69,80,68,79,74,78,79,77,72,68,87,102,74,69,74,75,84,80,82,85,81,78,78,89,84,66,69,52,50,43,63,59,64,65,75,71,51,93,93,75,56,52,111,110,70,54,67,64,77,70,62,65,68,64,66,70,66,69,70,65,74,71,66,72,69,72,78,74,81,76,94,47,30,120,59,76,81,75,84,73,92,87,105,82,95,101,110,106,101,69,55,81,53,38,57,64,89,80
56,70,66,87,101,97,66,69,65,93,46,63,46,57,85,50,87,74,68,64,63,85,81,97,99,66,66,74,72,78,90,75,58,62,59,65,65,68,61,75,76,68,64,64,54,67,57,61,64,67,77,70,91,58,74,75,69,64,68,45,52,50,29,50,69,77,73,70,71,69,71,72,64,49,56,109,117,106,42,57,72,73,78,73,73,76,72,73,77,64,44,95,90,80,99,85,40,82,66,77,66,70,76,78,29,58,73,79,80,65,66,35,70,74,71,72,66,67,68,66,68,66,70,63,56,55,61,54,66,52,48,63,54,56,81,49,103,75,64,70,71,78,73,77,76,74,72,83,84,66,69,79,62,71,71,87,68,63,72,78,76,73,45,56,81,77,70,73,101,86,68,91,90,99,65,91,83,79,89,88,81,83,86,86,93,85,80,84,81,96,89,88,82,79,82,68,69,71,67,72,58,54,59,70,93,68,54,66,110,113,73,50,51,35,47,70,71,69,76,73,76,72,68,64,71,76,71,55,77,72,66,61,67,68,76,62,63,59,62,64,67,63,74,70,71,66,69,69,74,59,64,62,86,73,78,74
54,68,73,60,65,63,71,79,70,62,60,63,53,51,55,51,48,56,95,52,51,64,72,84,41,73,79,68,45,40,60,62,65,65,68,65,67,62,65,74,66,68,71,74,72,73,85,79,78,78,79,103,70,86,78,76,64,71,74,60,62,71,62,64,68,68,74,67,71,73,73,69,59,60,58,56,53,46,77,96,91,42,62,76,70,75,76,72,75,78,70,73,58,45,56,45,83,86,67,98,90,79,78,73,82,46,61,92,78,74,62,73,40,69,78,69,71,61,62,64,65,69,66,64,61,63,54,53,66,56,55,58,54,64,53,58,65,45,91,112,95,74,66,63,54,55,61,70,94,120,129,131,98,78,78,83,73,89,91,70,82,79,86,80,81,79,80,82,61,40,83,68,75,65,78,55,70,86,63,60,66,82,84,77,86,79,89,76,87,79,79,72,66,77,67,69,77,83,76,73,70,75,73,86,55,49,58,55,104,73,67,76,82,73,77,92,96,67,63,88,83,86,73,75,84,89,85,62,61,59,60,63,69,69,70,68,66,64,65,69,78,78,102,64,83,113,96,80,74,58,66,64,50,62,50,74
68,72,67,75,54,62,98,101,96,68,51,57,56,50,57,58,51,59,62,61,64,74,98,72,52,64,89,67,68,79,81,42,67,70,65,61,69,66,67,88,93,71,70,71,77,73,79,101,77,91,72,59,68,87,68,60,67,63,66,45,50,72,82,85,62,52,73,73,61,67,67,68,58,61,62,63,66,62,61,52,62,71,71,37,51,71,76,66,79,76,77,78,84,97,91,94,67,47,89,91,54,59,71,84,61,77,72,56,74,65,69,70,83,44,64,74,72,70,63,65,61,65,70,71,63,55,55,52,61,55,64,57,73,61,60,62,64,76,57,58,72,50,58,92,77,44,52,90,48,87,62,65,67,71,50,61,49,77,110,114,95,85,81,73,76,74,75,80,73,72,51,107,96,81,74,80,99,110,83,81,87,105,100,64,50,52,81,76,97,74,69,69,59,70,68,65,76,83,86,85,86,63,48,58,58,55,57,52,78,64,61,61,64,68,66,65,63,62,59,51,55,46,21,76,72,69,73,71,64,61,68,94,46,57,108,106,55,52,54,52,81,58,57,67,72,70,63,50,59,71,71,58,80,42,36,29
105,99,85,43,44,43,31,44,46,61,59,59,74,91,89,95,86,89,64,60,69,68,68,60,88,85,44,63,89,88,56,93,112,91,35,51,72,67,56,67,60,68,72,74,74,70,74,66,59,69,64,40,49,92,70,71,51,67,72,75,67,76,69,68,76,72,75,54,68,74,80,58,32,41,42,46,40,43,58,65,72,75,63,70,86,85,84,56,73,78,80,75,75,64,84,59,68,47,90,92,76,74,46,43,69,77,75,61,61,67,65,69,66,84,58,39,51,59,65,61,61,66,69,70,72,65,57,54,58,64,73,61,66,60,56,74,66,68,67,66,69,103,60,65,73,42,35,58,111,72,73,72,86,66,78,73,71,68,66,78,67,59,43,47,46,42,116,117,80,99,78,71,62,48,82,126,94,83,84,78,90,92,81,80,86,88,118,57,77,62,74,78,68,61,61,72,96,98,56,46,58,59,63,62,61,61,56,59,91,111,96,82,73,71,63,55,61,57,56,78,78,91,86,76,70,74,77,71,72,67,71,49,71,65,65,68,70,67,73,91,65,69,90,55,51,55,63,70,71,56,71,69,63,63,62,54
43,54,55,57,57,55,59,74,72,110,120,126,113,116,110,70,67,82,51,59,79,78,57,50,66,69,72,97,68,35,66,99,105,77,82,86,66,33,72,66,64,70,71,74,65,66,76,74,69,67,61,95,112,103,84,74,67,68,65,66,72,60,66,67,77,68,63,68,67,76,69,73,75,71,66,66,67,72,54,70,67,76,76,73,72,49,101,95,92,43,65,69,80,81,61,68,67,65,58,57,53,82,78,84,72,94,81,69,66,69,66,64,77,70,68,71,94,94,100,69,27,44,59,65,68,74,64,58,61,58,70,63,67,62,58,53,68,67,60,69,62,83,102,112,48,57,91,63,64,68,73,71,82,74,85,70,68,77,73,74,79,79,68,75,74,78,73,62,74,133,63,79,79,79,83,72,57,56,48,119,76,100,133,128,124,117,105,109,114,141,149,130,53,61,71,73,57,64,68,66,71,61,62,62,60,59,54,52,54,51,46,25,68,66,57,61,61,64,63,69,72,78,77,73,72,75,73,72,69,73,100,63,70,66,69,67,63,101,69,74,72,73,74,75,107,99,90,80,66,52,43,55,55,50,48,74
70,77,85,55,60,74,50,35,44,52,51,43,45,55,60,60,65,67,91,75,59,69,65,68,77,86,62,66,69,66,63,75,29,30,51,83,69,66,67,57,40,40,51,69,83,80,76,51,73,75,75,73,68,66,65,48,67,64,74,69,68,54,89,75,98,67,63,69,69,67,68,68,70,72,71,76,67,73,81,64,65,71,62,72,62,62,63,49,67,109,120,108,67,52,57,62,55,65,67,62,65,61,49,107,71,80,68,90,89,78,82,101,70,67,70,76,83,86,50,66,85,104,89,63,70,71,81,63,61,60,60,62,78,69,69,57,56,62,61,66,69,79,78,98,53,76,85,73,75,76,76,73,75,72,75,74,81,78,77,79,79,80,74,82,74,77,80,81,77,65,89,90,94,77,74,80,82,77,90,68,75,76,60,43,52,43,60,52,56,43,74,92,86,82,86,52,55,67,64,64,61,66,61,58,52,53,58,54,53,61,67,113,74,68,62,59,60,64,74,79,74,74,74,70,74,71,92,114,88,35,58,70,68,67,62,84,73,69,72,73,76,74,73,72,63,81,73,76,76,79,99,92,62,67,65,69
61,57,59,63,62,61,67,67,68,71,78,75,73,90,92,48,55,68,63,57,62,87,54,35,86,71,73,69,67,68,92,71,60,102,78,63,65,63,65,62,66,72,83,98,80,64,63,75,48,67,80,74,77,69,72,89,73,73,62,78,111,84,80,77,14,93,67,63,62,71,71,66,68,66,65,63,60,64,66,73,35,78,75,77,23,53,58,63,68,63,56,55,59,99,113,54,51,61,59,65,66,63,64,58,53,112,75,68,68,55,83,63,64,74,90,48,28,58,62,58,52,39,67,72,70,70,71,67,66,63,62,65,59,64,61,62,67,64,75,68,67,62,103,128,65,71,74,79,71,71,76,80,78,77,73,76,77,78,77,66,76,81,76,84,80,84,82,80,75,77,80,73,85,87,81,73,74,78,80,71,88,83,82,86,79,69,84,82,64,73,102,57,61,70,82,87,105,57,36,52,65,58,59,55,59,57,57,61,60,67,67,53,53,104,91,63,64,70,72,79,74,56,61,59,66,78,43,78,75,81,64,65,63,67,90,71,71,73,74,70,70,74,71,73,74,83,73,73,70,75,78,105,60,69,71,70
71,67,67,63,70,76,72,70,71,70,63,67,77,56,73,71,79,69,52,60,62,63,57,61,89,77,26,70,104,70,60,65,62,76,49,71,82,67,65,63,71,59,50,55,95,77,71,61,72,85,77,47,75,72,86,70,72,71,68,71,69,48,45,64,62,41,83,73,69,73,70,66,58,66,64,69,65,66,69,66,69,68,58,67,72,86,96,63,51,64,63,55,61,63,56,47,60,101,72,53,61,63,62,68,70,69,48,103,68,74,73,71,74,52,22,57,140,163,71,60,66,63,70,60,70,73,69,74,72,66,61,52,62,59,64,68,73,57,65,62,74,69,82,58,45,99,71,76,81,68,77,76,75,72,76,76,59,69,74,71,74,82,82,80,73,80,83,79,85,68,67,75,80,81,81,70,65,79,84,78,79,78,84,74,76,72,64,90,67,88,59,61,85,80,85,83,83,74,83,110,140,46,56,55,57,61,60,62,67,67,71,70,62,55,107,74,73,70,77,69,67,61,59,61,55,65,66,34,90,76,71,64,91,65,70,67,70,76,76,75,73,73,73,70,73,87,73,73,76,72,73,50,66,70,72,66
78,77,76,77,72,71,77,74,75,84,81,86,56,62,94,66,71,64,75,80,69,61,38,60,66,62,58,79,104,94,71,68,80,62,66,64,72,71,90,80,74,45,61,67,64,52,51,87,90,76,55,64,78,73,75,72,72,75,72,72,69,75,81,90,101,55,90,96,95,80,71,69,67,64,66,75,72,67,69,59,64,65,66,60,68,65,69,67,68,50,106,93,61,34,29,34,43,48,45,38,90,70,69,73,61,59,63,72,56,115,64,74,76,80,106,39,21,48,65,91,64,58,58,64,71,72,74,75,76,66,66,59,59,58,64,65,65,59,66,61,68,79,76,60,81,88,65,68,83,127,90,105,96,83,81,81,99,57,125,86,55,79,66,80,79,82,87,77,84,78,75,79,72,80,81,85,72,75,77,75,80,83,72,71,75,71,67,74,42,63,65,67,90,82,85,77,76,77,85,87,55,87,116,128,59,63,69,70,76,73,74,69,62,63,61,111,85,89,99,98,88,81,69,72,72,67,68,64,62,78,53,59,88,91,101,99,61,69,74,72,76,69,71,77,76,78,70,74,71,74,80,59,74,65,68,73
80,83,79,82,80,76,77,81,73,76,76,77,65,63,59,54,52,60,90,95,74,64,62,82,71,39,62,55,71,60,59,100,87,74,76,52,60,64,63,62,49,85,115,70,43,76,70,67,57,73,82,69,61,62,63,57,57,63,72,70,69,74,70,60,60,71,63,63,50,80,78,59,65,73,71,64,60,62,62,71,71,67,71,68,66,63,63,62,61,66,75,71,78,66,70,68,72,82,64,57,74,65,71,108,71,62,60,60,66,54,49,115,52,68,73,79,98,89,79,52,58,59,63,67,65,48,73,68,64,92,58,60,65,55,60,61,57,64,64,61,58,54,131,28,74,61,70,62,67,77,66,64,89,130,133,124,125,109,67,86,92,100,57,65,43,85,113,101,93,108,134,158,44,131,126,120,125,42,87,42,35,36,57,41,51,52,51,60,71,90,102,84,60,69,74,71,78,86,76,62,82,80,87,57,98,110,64,49,63,71,74,74,59,61,66,62,47,70,66,51,53,53,49,48,107,90,80,72,68,70,73,75,75,74,78,74,77,62,65,70,73,70,79,79,82,72,67,74,73,75,86,75,72,65,63,73
75,74,82,83,80,78,81,79,76,78,81,62,64,65,65,63,68,66,62,58,57,64,99,78,78,68,82,58,62,59,48,62,63,70,103,78,71,88,62,56,71,87,55,39,89,118,48,64,68,76,73,59,71,82,97,82,78,75,76,64,61,74,67,62,67,74,66,72,60,69,56,57,66,63,71,67,65,72,63,62,67,68,72,71,69,68,67,59,63,70,73,68,76,64,80,65,62,51,71,62,70,53,55,66,64,63,70,63,68,67,63,71,62,111,53,59,72,78,70,68,66,58,56,65,56,77,64,74,70,78,77,56,66,66,63,61,58,59,65,73,63,82,44,114,54,76,86,73,80,78,74,81,80,68,69,64,50,102,91,82,71,72,78,88,82,69,77,83,84,89,89,89,86,87,92,94,71,87,72,71,63,71,69,83,83,98,93,101,63,67,68,64,68,57,61,71,85,68,72,82,79,79,91,72,89,80,66,65,75,97,87,96,75,42,58,67,66,60,53,50,72,73,51,25,55,44,67,62,98,78,71,70,77,76,73,73,77,76,54,66,72,76,81,70,63,60,64,64,71,73,49,63,61,72,73,69
72,74,61,68,72,74,75,77,78,78,77,54,62,64,66,62,63,67,68,67,74,71,70,67,59,66,88,68,73,75,68,78,48,57,71,61,57,90,74,81,92,103,54,53,90,46,57,104,77,42,66,64,65,60,64,47,91,86,82,79,74,106,89,79,81,83,72,55,30,97,68,42,40,72,62,69,64,61,69,66,66,66,65,68,66,67,66,71,68,70,66,70,65,69,70,69,74,72,61,66,63,62,64,68,33,62,68,65,66,68,64,61,77,58,78,111,56,67,64,68,82,87,74,54,67,88,63,72,59,85,78,54,31,42,49,106,121,103,97,83,44,61,56,42,55,33,66,70,75,75,80,77,81,78,80,81,77,75,54,91,82,73,69,70,76,72,78,81,49,40,61,62,97,56,49,41,49,59,97,81,83,76,80,74,78,81,71,73,64,66,64,67,58,56,61,57,94,94,89,84,82,68,73,49,87,79,71,67,77,67,66,56,62,74,108,93,83,123,116,71,73,77,65,81,112,133,121,46,33,62,70,69,77,74,69,72,71,70,78,84,73,83,77,87,90,95,95,84,82,87,76,92,86,108,123,123
85,100,78,67,64,63,66,77,67,60,67,60,47,72,70,64,65,61,68,71,74,74,75,79,70,74,67,61,75,85,87,73,65,76,74,48,62,65,62,86,62,57,67,71,57,56,88,78,38,83,116,57,66,73,61,71,65,71,106,96,75,82,67,61,95,98,81,83,80,74,65,67,71,80,66,63,65,52,68,68,63,65,62,67,65,67,65,66,69,73,65,75,65,74,77,94,73,74,54,67,66,64,59,59,71,93,59,69,67,70,63,65,67,60,80,64,72,81,71,78,75,58,64,62,73,76,86,83,40,77,71,100,82,79,93,98,84,67,87,99,72,84,74,89,74,76,84,91,60,66,76,75,76,77,76,75,82,79,75,78,114,104,80,81,82,74,76,93,87,100,93,71,79,108,85,69,71,69,73,72,82,54,60,69,77,75,81,68,79,77,79,84,76,64,62,56,54,87,72,78,76,82,67,79,67,81,88,54,81,89,86,59,63,63,84,70,66,60,67,77,75,76,72,78,68,57,56,43,130,110,104,82,78,76,75,72,71,75,75,87,100,77,78,57,63,62,69,62,59,63,56,59,58,58,54,61
55,64,65,84,97,91,79,92,105,84,72,65,69,67,80,67,50,58,63,72,72,71,73,78,80,73,74,71,72,71,66,62,88,78,70,75,78,87,46,89,67,77,77,77,58,71,97,55,57,85,39,66,112,76,45,67,76,69,66,52,101,103,83,74,58,70,70,76,96,109,98,100,113,52,50,90,74,66,61,64,69,76,68,66,66,69,69,59,65,69,64,61,64,67,80,46,65,73,69,76,55,85,82,65,63,67,93,34,29,58,70,70,57,82,61,84,97,79,73,62,81,84,66,62,70,74,71,71,72,72,73,84,76,64,58,59,66,59,61,73,63,39,16,86,101,117,82,76,84,86,101,96,66,77,80,74,111,114,113,54,69,51,77,63,66,81,90,85,76,81,72,78,42,26,55,72,75,70,71,71,64,84,76,76,84,78,76,73,76,64,67,66,45,40,71,74,60,74,78,71,68,64,62,66,84,108,83,67,91,83,101,95,95,95,81,39,109,97,94,73,37,35,52,65,63,43,65,71,61,54,49,41,54,91,72,70,69,74,73,72,68,77,74,78,94,94,79,39,43,62,70,69,71,68,71,63
72,74,76,71,64,62,64,61,69,53,81,68,72,70,71,67,74,76,73,60,65,72,81,74,73,71,77,75,74,75,70,70,84,75,74,68,82,77,76,75,71,68,76,77,90,65,64,67,70,67,51,94,47,63,95,110,73,71,81,66,67,61,64,98,92,91,88,56,55,64,43,50,58,72,73,74,65,43,58,62,104,66,46,96,77,73,67,74,67,69,70,73,72,66,36,58,74,66,84,59,68,102,109,90,77,72,70,74,78,91,54,66,82,66,63,59,66,81,78,81,66,62,65,63,73,69,77,66,77,69,74,76,73,74,97,75,53,43,55,73,63,84,119,69,70,72,122,120,107,84,80,75,86,123,124,110,76,74,66,78,98,140,83,73,72,81,80,85,79,65,72,62,74,74,74,128,119,41,39,70,70,64,69,81,75,78,74,76,76,71,75,67,73,64,71,76,75,70,77,72,71,65,59,73,46,67,49,63,106,115,112,98,90,78,72,73,74,73,73,96,100,94,114,104,95,104,118,106,110,53,36,48,61,55,88,102,79,76,78,69,76,76,76,69,76,77,74,79,82,93,94,61,40,39,43,101
64,77,74,76,73,74,76,74,72,79,70,50,77,89,84,93,80,80,77,79,91,105,70,72,70,75,82,77,76,79,69,75,83,74,79,73,76,72,80,70,72,79,78,79,80,79,93,97,38,65,66,81,53,98,58,59,71,104,82,74,49,35,39,75,77,77,70,73,76,80,65,77,89,58,40,65,71,74,71,75,65,69,75,61,54,50,61,37,55,66,69,59,67,71,58,85,81,49,66,60,78,67,78,37,61,67,69,61,61,74,70,88,54,71,68,66,66,57,71,89,84,74,64,66,67,64,69,67,67,69,78,78,76,73,57,63,64,81,76,64,70,37,93,60,91,84,68,76,74,100,88,97,102,103,110,93,81,80,72,92,88,76,81,81,80,78,80,75,75,65,66,76,58,59,59,55,98,120,102,119,45,66,72,79,74,71,74,80,76,64,77,68,65,72,87,77,75,73,75,73,65,70,68,64,81,35,60,64,60,63,61,60,59,49,45,53,72,98,89,48,68,65,68,51,61,59,64,56,34,56,76,98,108,53,42,27,72,76,73,74,73,72,78,74,76,77,76,78,75,96,41,47,52,47,39,74
89,76,48,61,69,67,61,68,75,76,75,77,66,64,52,61,64,57,79,76,69,70,72,81,89,76,47,66,82,68,71,70,77,78,80,78,76,78,72,71,72,80,76,73,73,70,73,73,81,95,40,63,64,92,66,78,100,36,46,71,59,65,95,91,78,71,75,73,71,69,46,57,59,70,78,91,102,81,51,57,42,60,116,72,68,62,58,55,47,99,73,68,68,65,57,62,60,67,82,74,43,64,80,81,70,72,71,66,61,76,70,67,72,84,58,41,69,63,62,62,56,54,69,89,68,63,72,82,86,99,57,96,88,89,75,72,54,71,104,82,65,84,74,69,80,81,85,90,144,57,51,61,84,98,64,87,89,86,82,56,118,81,79,82,70,66,89,89,84,74,69,58,102,70,59,70,93,62,51,65,115,92,84,73,77,72,61,59,62,60,65,69,67,80,73,75,75,74,78,75,78,73,65,74,64,70,82,80,79,83,31,41,39,38,31,45,94,80,98,84,86,83,79,64,66,70,61,81,76,77,77,68,64,73,106,92,82,77,75,76,78,76,78,75,72,78,79,77,102,36,49,54,45,54,57,95
72,63,71,72,73,67,68,85,85,57,48,76,71,76,67,73,67,68,67,60,66,71,67,71,72,68,66,75,105,87,84,91,64,71,77,72,72,75,73,76,76,78,71,66,63,65,73,74,73,75,85,89,46,69,66,90,64,66,109,89,34,50,58,63,103,104,91,103,94,64,58,52,52,53,62,65,62,69,64,76,31,61,64,64,65,61,64,62,63,63,56,90,69,71,66,65,57,58,70,84,84,103,97,78,67,82,58,84,67,73,69,68,72,68,74,72,85,93,75,53,60,46,54,59,77,70,64,84,69,65,75,77,60,49,43,99,67,72,42,49,98,38,74,81,86,86,83,81,75,81,86,92,87,73,71,50,66,44,76,85,90,84,39,83,68,71,74,69,70,70,75,66,68,68,75,58,70,80,60,25,19,19,57,82,86,83,108,95,86,88,94,85,69,56,53,61,55,65,78,75,72,67,72,66,61,61,62,64,65,58,72,73,67,62,62,62,61,70,30,51,101,129,70,74,67,57,92,73,77,70,68,75,71,74,69,62,62,70,92,80,78,79,77,74,77,82,73,94,53,65,65,67,64,70,69,75
60,68,75,55,55,60,53,64,73,74,82,64,55,26,45,65,65,71,69,57,43,54,60,70,63,60,58,63,67,67,65,70,67,69,69,65,63,76,75,74,72,75,79,72,72,68,73,92,91,78,72,78,80,64,46,62,69,69,56,55,64,78,85,42,57,65,60,52,75,87,77,77,58,59,59,58,57,56,62,67,73,42,44,60,42,44,62,77,75,71,71,58,54,39,73,91,71,60,58,48,57,58,84,73,68,66,57,68,77,68,69,68,72,68,69,55,100,79,77,70,67,73,70,85,55,60,72,67,68,98,123,81,62,73,64,46,112,95,64,82,84,96,76,76,96,62,54,39,64,59,70,76,77,137,131,44,109,102,78,82,83,85,48,128,112,84,83,59,60,77,83,76,71,85,105,63,59,71,65,66,84,88,75,46,34,35,43,62,54,57,85,102,84,72,56,68,70,76,46,43,45,55,66,69,64,64,59,59,64,81,96,107,94,90,77,64,64,67,70,88,87,30,34,52,68,68,72,77,74,73,72,71,74,69,68,71,71,74,69,84,93,80,75,75,78,76,84,98,68,68,73,76,77,49,59,52
79,80,60,72,57,53,53,64,69,72,71,71,71,73,75,94,84,87,57,91,89,91,78,62,68,69,64,68,67,56,61,64,66,68,80,74,72,68,76,69,60,72,70,68,69,70,68,72,59,74,73,65,73,75,74,86,45,66,66,68,99,83,54,65,92,85,69,47,60,64,61,61,83,79,72,70,70,73,78,70,74,74,71,84,70,72,75,58,59,84,74,72,69,69,74,66,72,99,64,72,75,66,67,75,72,76,91,53,94,87,63,74,29,76,90,76,61,59,106,89,59,63,64,66,82,66,64,75,64,78,76,70,73,64,56,60,55,60,64,91,86,68,98,101,78,81,71,72,75,77,94,100,99,82,83,75,82,75,73,64,71,78,85,57,75,57,79,57,65,69,66,85,58,54,61,83,119,113,98,97,98,72,64,68,80,78,81,91,52,87,65,10,34,60,68,67,83,76,68,73,63,62,73,72,64,79,73,65,65,45,58,64,66,61,53,88,82,45,90,74,69,67,68,75,63,73,66,59,63,67,71,71,76,73,71,71,76,70,69,80,55,61,74,63,59,72,38,49,58,54,55,50,51,50,61,76
63,81,77,56,52,56,55,61,67,77,77,76,67,71,76,77,73,81,79,76,84,86,79,74,68,66,52,77,59,66,38,72,69,75,34,48,77,91,68,78,76,73,67,69,60,57,69,69,65,57,51,87,62,69,76,75,75,94,86,54,54,62,70,63,66,80,54,37,56,79,63,61,61,63,61,58,67,85,87,76,75,70,64,69,65,64,68,85,92,80,49,66,84,91,83,67,75,70,53,56,98,87,98,75,68,76,78,81,84,55,81,64,81,75,30,83,64,71,58,55,85,67,77,122,52,102,77,70,72,74,65,68,70,69,82,55,60,52,66,77,107,57,109,92,85,88,65,66,69,74,70,69,70,78,79,86,85,64,61,75,73,53,60,54,53,65,69,60,68,74,63,69,67,86,72,69,67,63,63,63,64,53,91,76,49,49,94,102,87,68,67,68,72,69,71,70,54,46,55,62,65,69,71,68,72,17,47,55,72,106,77,69,75,70,69,64,64,65,68,64,89,69,63,60,58,57,61,62,63,64,62,61,63,69,75,72,72,73,76,78,65,56,69,55,60,61,76,22,25,54,67,66,70,71,63,63
78,82,98,81,73,58,52,62,67,75,71,79,71,65,74,74,74,80,80,94,70,103,108,74,69,86,83,23,52,55,61,77,59,64,72,65,65,87,78,94,105,94,80,74,67,71,69,51,38,43,74,63,72,69,71,80,73,71,77,78,84,82,81,42,64,64,61,61,61,61,90,99,89,80,71,56,51,58,55,41,65,67,96,98,82,68,77,80,76,78,87,53,63,79,74,67,64,61,69,84,70,45,46,64,82,77,81,78,82,83,50,102,71,68,75,59,55,55,125,76,66,49,34,49,61,64,90,111,73,69,73,70,66,71,75,84,100,70,38,61,77,74,87,62,46,47,57,58,60,58,50,88,117,107,53,46,62,82,68,68,64,54,65,75,71,75,60,68,66,55,54,84,106,37,46,60,58,77,82,78,78,61,56,52,47,49,61,64,54,75,95,80,74,78,69,74,72,76,52,63,71,74,76,73,68,77,102,88,26,41,60,67,120,53,64,75,80,70,58,63,63,46,69,97,67,60,67,90,65,57,88,100,107,106,76,68,59,71,78,75,64,95,63,63,57,56,66,56,62,90,89,93,68,54,52,54
93,86,82,76,80,76,65,70,69,48,75,72,76,68,77,77,76,82,77,86,66,61,54,85,91,72,70,62,65,58,49,62,68,76,73,59,65,68,74,82,45,42,35,29,48,91,91,68,69,69,70,69,83,72,75,80,80,75,63,67,68,67,57,66,73,79,58,55,74,73,72,61,60,70,81,108,95,80,83,67,107,48,28,43,55,104,80,78,80,83,77,102,99,59,58,41,51,67,82,87,83,69,58,60,47,62,110,86,78,79,78,75,69,67,64,74,91,83,85,32,38,56,66,69,73,73,59,43,51,88,44,95,121,108,79,65,69,69,74,59,60,79,73,72,75,77,76,75,69,72,88,65,75,74,81,71,66,69,85,69,63,88,102,73,88,75,64,68,65,65,63,83,80,76,78,76,74,91,53,40,79,85,66,71,76,67,68,60,67,69,59,48,45,44,60,103,108,118,49,60,65,76,72,68,65,69,69,78,81,91,65,27,34,33,87,62,30,53,70,70,77,73,63,58,46,100,64,67,52,85,32,67,62,38,78,78,72,67,61,86,76,74,63,63,70,101,80,99,69,72,62,68,75,69,81,74
64,41,80,82,80,71,68,67,66,69,71,69,77,77,73,74,75,77,88,67,69,66,66,64,58,59,85,67,65,89,88,84,77,67,69,73,62,76,80,80,111,85,95,91,88,75,49,71,57,64,74,96,89,72,66,67,64,66,67,87,75,68,66,69,65,66,64,65,75,74,98,87,77,72,57,74,72,41,67,86,78,78,75,76,74,28,38,77,84,80,78,74,75,67,9,15,44,70,71,77,67,64,64,61,62,57,52,44,87,103,85,76,73,72,69,70,67,72,75,74,79,92,63,71,73,43,36,50,72,69,61,63,54,49,43,107,79,69,65,82,76,85,88,91,103,102,100,74,78,68,75,61,69,72,84,69,72,74,75,73,91,71,65,69,71,85,86,95,100,113,98,80,75,69,70,68,70,67,70,65,89,61,61,56,61,64,69,56,65,68,69,67,69,66,67,67,71,48,92,111,94,66,50,60,61,75,76,88,76,77,72,73,76,78,66,69,65,75,75,36,29,57,68,65,68,63,71,72,71,70,51,89,88,76,73,69,68,68,81,63,57,64,68,68,69,95,48,55,50,78,97,79,76,74,70,75
92,79,68,70,70,67,64,68,69,66,61,72,74,65,68,68,71,76,81,66,68,69,71,64,65,65,56,64,87,49,36,55,75,74,76,59,60,69,78,68,68,47,69,74,33,39,61,72,96,90,72,47,58,61,79,87,83,62,82,81,67,65,63,69,78,64,65,64,73,69,52,64,73,72,96,58,62,79,75,74,70,70,63,63,77,63,87,67,67,62,68,91,86,81,74,81,87,98,100,89,49,57,61,67,67,61,56,61,61,52,65,66,75,70,82,68,71,68,60,61,66,72,84,47,71,85,72,72,85,83,37,52,36,59,70,64,73,83,114,87,111,88,70,64,68,70,74,80,95,75,75,101,82,51,72,77,83,78,74,74,62,76,77,78,74,64,48,74,77,49,51,47,117,105,89,69,72,80,70,70,77,75,73,70,60,77,67,48,73,72,46,49,82,74,71,71,76,93,52,54,107,90,62,61,60,62,64,60,71,71,69,71,70,75,60,59,65,69,65,68,77,82,95,34,59,73,69,67,66,70,58,85,66,60,69,75,75,79,74,63,55,63,68,66,68,60,71,50,72,66,48,67,71,99,58,73
67,71,72,70,69,67,65,62,63,62,69,65,63,64,68,59,63,81,67,57,66,63,67,67,68,66,67,68,54,151,99,61,72,65,65,63,60,65,57,70,77,70,74,71,75,74,85,90,66,93,78,76,88,71,80,77,75,74,79,86,77,74,79,90,72,64,65,83,84,78,69,64,92,73,82,76,74,68,62,63,68,64,67,66,77,68,99,66,66,69,70,40,45,73,66,71,71,72,68,64,78,99,102,86,34,53,60,58,63,57,75,80,64,50,55,64,119,96,65,63,64,64,68,87,84,79,69,62,64,68,69,83,73,83,39,51,70,71,63,56,49,42,104,103,112,96,85,79,78,75,75,70,80,76,87,65,87,66,59,67,59,78,81,72,73,74,73,79,85,53,70,66,79,76,53,95,84,74,82,76,76,73,81,76,76,46,74,91,74,68,72,75,50,79,64,81,59,37,54,59,77,62,91,80,69,67,78,60,79,66,66,63,65,69,65,65,95,83,71,53,77,84,74,74,88,74,51,80,71,66,66,61,69,96,80,70,72,75,48,69,60,59,65,80,84,78,61,66,38,59,68,66,47,61,79,100
56,73,91,78,81,76,76,98,79,68,66,72,67,74,79,65,65,47,94,82,97,57,57,63,68,65,68,72,67,55,48,51,91,99,86,75,69,65,62,64,65,74,75,72,71,68,94,84,80,32,66,68,68,69,63,73,53,90,80,73,81,77,81,80,77,82,89,73,66,75,73,97,99,68,80,82,70,75,66,72,75,71,62,74,70,69,59,55,96,93,65,70,118,98,69,65,71,67,70,60,62,73,81,86,90,85,95,32,29,53,73,85,79,72,75,77,65,57,74,68,100,74,73,70,67,67,70,63,61,65,66,65,68,73,73,82,43,38,38,82,41,54,64,43,63,55,51,44,70,73,67,66,70,76,70,67,69,79,85,82,72,47,73,73,75,63,77,81,84,63,71,68,87,60,72,71,94,110,111,107,81,70,72,70,69,72,73,76,75,80,55,106,69,31,70,78,55,50,54,67,54,70,74,43,80,69,74,59,45,71,68,72,72,63,64,62,75,65,66,72,81,81,73,73,69,72,70,90,94,83,50,50,71,60,69,62,68,73,53,49,57,64,68,31,67,55,56,86,89,105,79,69,59,66,74,63
56,68,55,63,44,55,52,59,55,97,112,91,83,39,55,70,108,81,69,67,57,59,89,88,89,76,95,103,46,64,62,61,67,58,55,57,103,101,83,78,78,78,75,68,67,58,48,61,72,66,66,69,74,67,75,73,90,80,81,74,72,70,72,78,78,78,80,79,73,74,72,73,67,76,70,15,63,62,64,65,80,65,74,76,85,40,76,63,62,63,63,92,61,47,66,96,99,88,77,66,67,66,76,84,73,64,70,72,83,94,99,99,37,44,56,73,73,66,61,62,55,43,48,94,95,78,63,61,69,70,66,64,66,69,68,61,65,76,85,80,75,91,93,93,95,117,138,137,150,108,86,74,74,66,71,67,70,70,70,71,63,59,62,61,71,50,84,80,86,65,71,64,90,65,72,77,71,68,68,59,68,108,75,62,67,19,34,15,40,76,124,64,90,60,42,79,79,78,21,37,81,110,83,82,74,66,52,61,63,56,62,64,60,76,63,68,68,58,59,71,42,95,76,77,75,69,63,68,66,72,75,77,65,77,66,63,59,68,68,74,71,71,59,71,83,62,67,22,41,79,75,74,67,67,78,67
65,82,74,74,72,76,69,71,68,69,60,54,59,97,120,112,66,96,70,66,58,54,82,82,89,73,74,74,83,73,38,58,65,55,65,68,64,56,68,102,113,102,84,77,74,67,62,65,73,76,79,73,67,75,55,82,80,56,82,107,98,97,80,73,76,78,79,86,75,83,75,36,78,76,69,68,74,87,75,61,63,56,48,53,96,110,83,52,74,40,36,40,85,98,86,57,68,57,50,50,88,56,61,48,72,76,73,77,91,120,125,102,87,91,101,66,45,92,64,69,57,59,56,49,53,66,92,98,85,78,72,60,70,68,65,67,61,75,75,74,73,63,70,85,96,84,91,46,41,55,67,58,78,86,103,84,73,77,77,67,62,59,57,62,61,71,72,60,52,28,43,59,83,64,64,74,71,73,74,72,70,57,67,69,86,88,90,76,80,87,57,31,40,69,50,67,56,57,48,105,105,97,83,65,68,68,67,62,72,74,70,70,71,63,73,65,55,69,67,83,109,86,75,68,78,73,63,65,70,71,75,65,72,68,62,59,57,59,57,62,63,67,61,62,67,61,76,87,82,70,72,60,68,80,58,46
48,70,66,75,74,92,51,56,70,78,74,75,69,72,72,70,73,63,56,79,99,76,73,65,63,60,82,76,75,73,81,92,90,53,62,54,64,67,68,64,56,67,115,85,74,65,60,63,66,61,56,66,58,47,32,49,60,63,64,46,30,50,67,67,79,92,101,91,79,68,72,65,43,63,84,78,53,67,60,81,77,72,62,71,47,65,64,63,67,72,71,75,78,57,85,88,60,69,73,74,63,82,91,70,58,61,56,55,51,64,63,55,95,80,80,85,85,75,83,48,35,41,61,62,58,58,50,45,56,51,47,84,88,85,104,108,92,70,77,64,63,73,38,64,64,71,69,62,87,104,99,39,39,58,68,65,106,82,78,67,61,58,68,65,61,57,58,64,65,62,66,79,82,84,84,90,67,32,56,69,71,66,66,67,66,64,90,71,63,71,83,78,90,93,83,94,52,96,96,76,42,30,55,80,72,70,63,67,70,69,79,86,49,84,54,61,68,70,64,70,75,98,80,90,67,75,68,64,73,67,72,78,80,74,64,56,53,58,56,60,61,61,59,59,68,67,57,63,79,71,79,68,71,39,48,61
51,67,64,64,67,63,68,74,94,78,51,78,81,72,71,71,69,74,80,74,72,61,65,82,64,69,72,79,97,91,79,75,77,76,77,50,50,61,66,62,76,68,53,61,51,93,79,81,67,62,65,56,55,59,60,70,97,101,104,120,64,77,58,63,61,56,81,70,99,80,73,68,67,71,51,62,68,74,76,68,72,67,48,77,41,103,78,75,66,67,70,78,58,69,85,69,77,81,64,78,76,80,37,64,67,73,65,66,36,52,54,70,97,110,111,95,85,72,63,65,73,73,81,84,33,39,55,51,53,64,62,104,83,48,55,69,79,73,67,67,63,67,73,62,58,69,72,69,70,67,68,66,74,84,82,126,46,57,79,83,80,71,73,76,77,60,68,62,56,60,56,75,61,64,59,60,65,64,80,90,102,100,78,60,67,67,65,79,70,73,38,48,51,56,63,83,70,97,72,75,90,95,73,66,56,68,65,70,74,73,68,73,74,73,73,81,72,68,76,79,61,40,54,46,72,82,82,68,72,68,98,43,42,39,78,68,73,78,77,70,63,58,57,61,64,68,60,62,54,59,59,62,62,68,80,93
59,74,63,62,62,63,62,58,69,70,81,91,68,47,57,74,71,74,78,76,70,72,71,60,67,92,100,75,56,61,73,66,68,73,55,61,80,83,51,62,64,63,63,64,59,65,58,50,65,94,84,68,63,60,60,87,104,84,81,74,92,42,86,69,76,74,83,91,67,42,64,58,67,63,77,97,57,72,74,73,58,89,86,78,69,71,79,69,71,80,66,62,88,91,72,70,77,76,88,55,72,84,73,68,69,73,54,72,82,80,63,84,77,74,58,57,55,68,65,82,78,67,60,57,67,74,96,96,64,73,66,61,82,85,74,32,37,61,66,63,63,62,65,83,107,93,63,71,72,65,67,65,70,73,81,74,71,69,56,23,30,66,76,76,66,70,68,75,72,70,62,64,77,69,61,60,71,64,59,64,68,70,68,78,83,90,80,78,62,63,69,84,78,72,74,87,88,86,34,48,51,44,41,89,84,91,113,112,100,70,70,73,74,70,70,67,65,66,66,61,59,70,82,79,87,72,70,65,68,76,14,27,62,64,61,61,64,46,47,65,80,94,103,83,65,62,68,64,57,88,48,43,46,52,57,78
75,65,94,81,72,81,78,67,76,89,84,68,70,65,71,61,75,75,74,70,78,69,74,73,76,72,68,60,95,106,96,83,81,73,66,67,76,75,84,90,51,48,63,63,66,66,65,61,71,66,37,32,71,89,68,34,57,61,97,59,58,63,49,90,93,104,95,72,93,79,58,59,71,68,67,64,72,86,60,72,80,77,55,83,76,67,74,68,83,73,87,50,86,79,103,82,64,70,72,75,85,78,70,75,61,64,70,76,67,69,83,74,44,68,71,87,84,82,75,77,81,76,71,73,74,67,64,58,55,52,55,57,60,62,59,57,61,64,64,68,63,61,67,68,53,55,76,115,76,64,67,70,74,78,85,68,69,62,119,63,88,79,81,86,85,76,80,69,70,67,71,70,49,55,67,75,56,80,60,66,61,81,84,79,69,70,68,65,63,63,61,38,54,61,82,77,76,82,83,53,58,69,67,59,77,77,37,61,57,98,99,110,93,91,86,76,87,101,81,67,70,68,64,74,45,57,78,76,74,73,61,75,47,32,60,60,71,72,68,61,55,60,72,48,73,59,86,97,84,66,64,68,57,67,59,70
90,63,68,64,85,53,55,83,52,78,60,69,64,66,74,87,61,58,109,92,67,72,76,68,77,76,75,74,74,73,63,61,59,53,49,80,72,72,71,74,77,81,83,73,39,59,62,63,61,68,70,73,79,66,35,86,66,68,70,69,64,92,68,46,64,52,44,86,43,71,62,61,69,65,60,64,61,69,75,71,48,63,59,80,89,90,98,75,71,74,70,69,80,45,68,72,77,80,75,72,70,69,74,67,88,80,76,77,74,79,77,61,86,94,58,65,71,65,77,82,74,71,72,76,71,73,68,87,96,96,79,95,92,90,75,72,68,70,73,67,91,81,67,70,74,60,39,61,60,57,95,50,67,71,77,72,70,63,90,79,80,45,33,85,52,51,84,98,74,63,64,64,78,55,72,66,69,49,72,68,75,69,58,94,61,63,65,65,68,68,64,71,76,73,70,67,67,71,63,52,61,61,66,83,83,78,81,55,64,106,57,47,55,53,55,37,51,63,65,100,113,92,77,61,69,84,67,67,61,61,67,64,67,77,82,79,51,66,67,69,66,59,74,73,74,74,76,69,67,49,69,99,87,78,74,68
64,55,79,72,73,88,77,80,77,82,81,70,69,116,81,70,69,77,69,72,57,74,73,73,76,72,75,77,73,72,70,72,73,72,63,80,65,63,70,70,73,81,74,62,70,74,55,75,60,66,71,72,75,75,70,74,82,74,51,55,59,57,64,66,62,64,62,112,85,88,96,84,77,79,85,83,65,64,66,63,66,71,94,64,69,66,60,78,63,86,79,80,77,69,82,85,77,76,96,76,67,62,68,72,45,32,49,76,73,79,79,86,85,86,82,109,78,67,63,68,77,81,77,78,82,72,70,60,61,70,62,61,65,57,65,42,41,41,52,103,91,89,74,68,58,62,79,95,87,68,96,88,87,97,89,64,70,73,75,72,73,69,68,102,73,64,69,71,49,60,111,111,78,87,95,102,114,98,71,58,57,58,67,48,68,82,62,78,82,81,73,69,72,60,70,68,66,66,69,79,81,112,104,83,76,71,66,82,90,74,93,89,89,82,85,97,102,91,95,89,64,22,51,86,108,102,78,62,77,50,63,65,66,66,70,72,81,101,56,71,61,69,75,75,78,71,79,77,73,73,76,78,51,53,58,45
74,74,71,59,87,101,66,93,98,81,77,79,91,42,84,69,70,65,71,69,67,87,56,50,88,83,59,74,74,71,72,72,75,73,65,77,66,66,62,66,61,67,65,66,64,64,72,72,79,90,74,82,71,73,69,69,76,77,76,78,83,59,49,58,64,65,66,57,48,45,49,52,59,98,49,89,64,64,57,61,61,60,68,71,59,75,64,74,78,73,62,61,61,88,80,76,77,76,47,73,78,76,62,68,67,70,73,49,70,77,81,84,75,73,76,70,62,60,66,87,79,77,80,101,68,65,65,50,67,65,71,94,78,77,63,67,69,64,65,55,52,66,73,104,84,65,74,65,72,76,44,59,65,53,63,51,71,69,102,80,78,61,58,53,81,91,101,86,39,56,39,39,51,62,77,68,67,74,63,71,73,66,60,87,76,76,78,77,46,58,48,63,110,100,87,68,65,66,67,69,74,71,77,72,60,64,59,67,69,87,62,61,57,96,58,61,64,52,37,89,105,70,81,33,64,61,52,95,87,69,80,70,63,68,71,75,76,68,78,66,64,65,68,74,79,74,72,73,73,83,73,53,60,62,64,69
71,68,69,70,67,69,72,73,66,66,75,93,59,90,103,62,57,77,68,65,73,62,71,72,64,65,70,44,49,59,72,74,78,75,64,69,64,63,67,61,69,64,64,62,63,65,71,96,76,71,66,66,76,52,85,80,68,72,75,75,78,72,72,75,81,71,71,69,71,66,62,62,60,55,58,60,83,63,62,71,67,70,73,64,74,40,52,77,72,73,71,74,75,68,62,77,91,72,76,67,56,81,103,89,92,77,78,69,80,57,60,65,73,70,63,64,62,69,71,65,71,70,80,74,72,76,59,63,72,76,71,75,80,68,58,66,71,65,67,63,64,67,68,66,63,56,91,82,69,70,76,94,95,84,38,66,55,73,52,83,52,59,56,59,60,92,104,95,73,88,86,76,58,46,64,68,49,67,70,70,71,87,86,75,79,75,79,76,65,77,68,57,62,74,62,89,83,87,95,76,64,68,69,60,70,67,57,61,66,54,35,44,42,84,65,71,70,64,62,62,65,44,66,69,91,45,73,65,55,58,49,35,68,70,72,72,72,64,74,85,40,66,70,79,59,55,77,76,73,80,81,64,60,58,61,61
73,71,72,71,76,73,70,71,76,66,79,60,62,48,48,53,73,62,66,71,72,72,60,63,65,59,63,72,68,83,83,48,47,43,56,66,67,65,72,64,67,67,67,67,67,66,75,58,92,87,81,74,67,79,80,82,77,80,65,73,65,65,72,71,77,65,66,67,66,67,67,70,67,67,60,63,48,72,90,79,70,73,69,70,64,71,79,41,55,69,76,75,77,72,70,64,52,50,71,68,80,79,50,71,70,75,73,69,63,67,72,77,75,83,79,84,91,62,56,66,75,70,62,71,76,75,77,78,45,51,63,70,70,75,62,62,66,63,60,62,73,72,77,76,69,69,65,60,106,93,90,87,72,69,77,92,68,78,74,72,74,59,75,74,76,67,66,58,52,62,90,100,94,89,81,93,98,53,38,58,75,6,71,76,82,75,101,66,79,68,68,60,64,72,62,78,78,81,59,46,100,105,103,97,89,70,60,59,59,61,61,56,67,54,65,81,63,70,74,50,74,56,62,52,105,103,57,59,76,62,72,80,69,59,48,79,65,67,73,66,79,72,69,61,73,79,43,51,68,77,73,51,62,62,59,63
76,77,53,53,71,71,73,67,69,73,61,55,78,80,106,87,77,76,68,74,67,73,69,64,71,70,68,69,70,55,61,60,68,75,69,63,64,63,71,66,65,64,65,66,62,63,75,66,71,65,58,57,75,90,85,83,78,83,79,79,77,83,81,85,81,41,50,48,33,43,58,65,67,67,67,65,68,62,47,53,104,102,79,71,71,71,67,78,85,60,33,61,69,64,62,60,65,71,85,80,58,69,76,69,64,81,51,66,83,97,66,67,65,61,68,79,74,71,70,77,71,70,60,74,67,92,61,69,69,60,67,95,94,64,56,39,62,66,61,63,71,67,72,79,76,71,71,72,76,57,54,55,91,81,89,101,102,86,69,43,66,64,32,51,47,58,73,63,70,70,57,67,76,78,106,101,87,66,68,83,78,80,66,68,92,73,75,67,69,73,68,62,64,70,85,81,77,78,61,75,59,69,79,63,47,97,95,99,81,70,71,65,63,61,60,72,77,71,55,76,71,59,61,70,69,64,66,80,88,69,69,67,61,74,69,82,66,67,64,62,72,62,63,61,70,74,71,74,88,97,88,92,101,47,56,29
59,71,60,69,81,64,39,48,56,74,73,84,74,76,65,65,69,77,104,100,84,76,64,67,66,70,68,71,69,58,64,74,68,67,81,74,81,77,84,80,79,72,72,62,64,66,76,70,76,73,71,76,78,65,66,67,85,77,77,70,74,77,79,81,66,89,99,99,86,77,82,95,88,54,44,64,57,63,63,63,52,88,59,61,98,78,69,67,66,77,81,90,93,94,91,74,72,88,86,73,67,80,61,69,69,67,54,63,69,63,69,63,66,89,98,98,110,73,64,59,64,72,78,80,87,79,56,69,67,65,62,68,63,78,79,86,111,47,60,66,70,72,67,80,80,73,74,72,74,66,64,70,69,63,62,64,62,58,93,88,89,99,82,73,77,99,54,35,65,66,77,79,51,48,58,60,44,47,53,62,88,97,76,75,91,81,55,68,76,62,74,64,85,83,77,80,76,89,61,79,70,64,68,63,63,56,79,75,69,59,90,77,66,63,62,52,62,59,75,70,67,62,64,71,63,62,65,60,85,118,88,45,60,68,77,98,104,62,96,75,65,58,60,65,65,65,64,69,73,71,69,73,68,75,89,68
66,56,60,56,66,64,83,101,97,92,59,47,60,59,72,77,74,66,55,50,61,104,101,90,80,71,65,69,74,31,88,71,72,70,76,71,73,72,73,75,77,57,64,68,63,59,74,88,78,47,65,71,98,71,75,75,72,74,90,92,78,78,74,58,72,70,75,72,79,65,72,88,85,81,81,83,58,56,52,67,66,81,51,69,43,36,73,66,67,68,71,78,76,66,72,72,66,73,73,63,64,64,82,79,66,65,64,88,74,47,66,70,61,59,70,39,60,59,66,74,76,70,68,74,66,68,85,75,49,53,46,52,63,64,81,71,59,67,92,112,73,56,69,77,81,80,77,71,75,70,69,63,62,57,70,73,62,71,70,68,77,60,30,75,72,70,87,91,102,89,58,66,77,73,80,72,67,67,70,64,65,65,63,63,67,66,62,90,100,97,87,68,75,73,76,79,83,83,68,72,81,76,61,72,69,72,84,86,73,75,77,68,61,88,81,66,85,80,70,59,68,72,62,94,61,72,78,60,60,50,56,97,116,99,83,45,60,69,45,82,64,59,60,84,76,66,65,68,70,69,62,65,64,63,72,69
74,72,69,72,89,63,61,64,66,71,67,64,64,82,63,50,53,66,77,79,75,61,55,51,53,72,102,90,76,76,74,77,70,75,80,76,76,82,76,74,76,81,75,61,56,60,60,59,59,67,79,86,69,82,87,84,82,70,74,57,66,66,65,55,53,46,69,77,72,78,80,80,82,74,75,30,58,108,85,90,66,73,54,50,77,70,65,62,66,65,67,61,70,71,67,71,64,64,66,72,66,61,73,73,76,72,74,77,74,63,75,61,70,57,68,76,71,68,73,56,59,74,77,40,70,70,67,69,69,70,81,74,77,97,57,77,81,36,65,66,57,62,80,101,130,77,33,44,47,58,55,59,77,86,65,52,84,64,63,68,49,85,79,68,68,77,78,90,69,78,112,90,67,43,58,68,72,71,69,68,70,68,70,72,80,85,89,90,77,57,58,89,106,92,78,76,73,78,34,51,72,80,73,66,75,78,71,71,87,81,77,80,73,67,57,37,99,73,70,63,68,72,47,107,90,63,61,65,64,62,63,61,59,50,53,108,96,94,94,75,59,60,57,12,70,98,73,70,81,81,72,72,68,65,70,68
54,63,80,60,70,68,66,71,66,73,57,57,60,55,54,58,75,72,68,50,66,77,76,81,72,74,71,60,68,105,109,112,90,80,76,78,70,76,73,64,71,77,65,61,64,61,62,56,64,60,64,64,72,69,69,64,65,66,71,69,66,59,59,66,63,66,81,84,82,83,50,50,65,74,79,77,87,74,92,79,71,69,75,73,67,64,68,66,65,92,97,82,96,81,61,60,65,66,69,69,73,67,59,65,71,74,78,76,68,74,82,69,64,54,68,53,51,65,80,108,88,81,75,74,68,76,56,70,78,66,81,85,74,74,85,75,76,97,77,48,64,46,52,49,61,57,63,105,103,121,145,105,86,57,52,74,63,64,69,64,63,62,60,70,66,65,90,104,87,54,56,57,67,88,104,108,84,65,63,49,46,47,33,22,21,24,38,50,64,64,67,84,63,61,81,47,50,51,53,62,106,75,44,70,68,69,70,67,68,73,84,76,68,65,66,57,53,53,65,61,75,75,83,72,75,60,64,63,62,61,49,62,51,61,60,51,63,75,92,91,64,61,59,72,27,56,50,106,121,50,46,106,98,103,91,92
69,66,74,71,58,66,70,47,64,60,58,55,56,62,61,62,69,72,67,72,78,81,58,76,69,79,76,78,81,75,66,66,60,57,55,54,59,80,57,56,73,97,95,72,60,77,77,68,88,69,76,88,87,76,68,68,76,74,78,56,48,75,82,64,64,62,22,47,84,96,82,76,77,56,67,69,70,77,65,49,95,91,83,72,72,70,63,72,48,69,72,78,71,67,73,77,65,64,65,66,66,80,70,67,75,67,80,81,81,82,73,78,77,65,53,56,76,94,82,31,66,69,75,78,62,72,63,63,82,44,91,96,74,84,92,74,93,88,99,92,72,74,66,65,66,115,172,83,55,61,69,52,55,75,52,91,73,63,61,66,67,65,64,65,66,99,58,58,58,75,83,81,64,65,67,67,58,61,107,109,79,72,70,74,81,92,96,90,92,110,112,33,58,71,70,71,65,66,66,67,61,69,94,88,97,101,42,42,66,66,65,64,64,60,64,62,60,67,52,74,59,58,60,69,66,70,64,53,48,51,69,40,75,58,66,55,65,64,60,73,81,77,94,107,83,94,33,42,64,69,70,62,58,60,65,69
53,55,73,75,72,69,89,82,73,61,46,49,59,62,76,68,71,72,74,70,68,71,71,81,97,71,54,46,73,77,81,78,74,74,68,72,70,75,72,77,74,74,72,60,68,45,75,73,69,71,51,54,53,51,69,87,77,79,77,72,82,42,80,70,67,70,69,69,58,72,48,58,83,72,73,68,58,70,73,71,71,70,64,52,90,75,74,56,61,48,46,62,63,65,67,64,56,77,79,68,82,85,91,74,70,80,77,66,70,77,73,80,66,75,76,73,67,64,101,74,72,77,70,69,78,75,49,82,50,47,55,65,70,51,76,73,39,48,56,53,74,86,70,61,55,62,28,51,57,79,71,77,61,46,78,74,71,82,91,73,70,58,57,59,56,72,62,62,61,67,59,84,74,83,69,51,74,70,71,68,56,70,95,95,57,57,64,65,49,66,103,110,101,116,108,90,44,39,27,26,51,61,52,80,73,64,77,81,85,39,51,54,62,63,64,61,62,97,90,89,68,63,59,57,68,73,59,57,58,58,56,70,73,89,112,96,100,83,100,99,59,68,66,64,51,104,88,85,62,31,52,68,69,69,67,71
67,73,64,56,62,75,80,45,68,69,92,89,58,69,74,49,52,74,69,71,74,65,68,70,77,69,73,87,93,47,38,51,63,73,75,74,76,65,31,36,43,62,71,75,77,70,76,76,72,56,60,63,63,49,75,67,62,63,62,64,70,78,90,106,109,86,71,66,64,67,70,59,47,69,65,68,76,76,79,75,72,56,62,79,77,64,68,60,63,60,71,75,57,54,71,61,61,68,62,68,58,68,55,75,70,72,67,66,70,71,96,92,68,70,77,73,73,78,70,57,56,76,90,74,66,72,74,65,66,86,78,78,77,76,65,62,79,81,72,73,61,53,64,66,71,97,90,91,120,70,96,63,65,74,70,70,66,53,69,67,68,90,91,90,66,83,66,67,109,52,75,82,71,68,87,100,89,49,68,70,66,68,71,70,70,77,70,78,84,43,63,62,38,90,89,67,66,63,63,66,72,95,115,94,77,75,67,74,73,70,78,77,53,63,64,67,65,59,58,55,50,73,89,68,63,66,54,57,56,78,70,58,58,75,82,86,86,80,73,76,53,65,71,62,64,71,33,69,64,75,90,32,33,26,44,48
60,58,66,63,60,80,43,58,75,66,63,64,65,66,73,67,64,86,72,60,52,69,70,62,74,76,74,75,74,77,65,64,66,77,79,87,101,88,76,69,77,86,98,94,91,82,53,62,65,50,64,61,55,81,72,71,71,71,73,72,69,63,65,59,51,69,53,62,79,91,74,71,65,70,71,66,66,68,66,68,70,54,67,82,67,61,71,65,62,67,59,87,83,74,81,58,60,66,70,66,61,66,61,101,84,66,53,85,66,73,80,52,44,70,71,76,72,76,66,70,72,70,69,60,90,95,85,75,89,83,74,71,79,68,70,80,41,91,52,80,77,76,65,67,51,72,76,69,76,52,82,75,73,65,61,65,73,85,113,101,81,53,63,58,83,83,80,77,63,85,78,71,72,69,39,18,72,90,91,71,32,62,75,113,105,89,100,85,67,62,72,78,97,61,61,88,99,95,89,72,73,69,68,75,71,71,56,62,77,73,70,69,75,76,78,64,64,61,61,62,62,58,64,56,68,53,63,67,79,84,69,42,77,62,72,71,63,74,80,82,82,94,44,63,33,92,86,68,73,66,65,64,71,73,78,76
67,62,65,62,60,57,75,52,67,60,60,61,65,84,49,53,84,47,57,50,74,74,79,94,78,79,76,74,74,70,72,69,54,58,57,50,55,66,65,70,67,69,68,53,60,73,78,66,74,78,47,40,80,52,55,54,51,52,49,51,56,65,68,64,67,75,66,69,61,51,55,73,68,71,70,69,71,68,68,95,97,78,53,54,68,68,60,81,67,57,84,77,74,63,78,87,80,76,45,72,61,67,69,63,71,64,67,63,114,97,73,72,77,79,53,72,75,66,73,68,65,68,70,70,69,67,60,56,70,61,56,56,55,84,72,66,78,71,74,88,106,84,63,98,124,58,43,78,65,67,77,82,72,71,73,64,71,65,35,63,52,79,100,108,89,70,71,38,54,55,58,78,60,79,83,71,66,70,71,68,82,101,90,89,68,85,76,69,89,78,67,70,56,33,48,78,86,57,25,52,53,80,52,72,78,77,103,52,79,57,60,69,63,82,86,47,59,67,62,54,37,55,66,51,62,58,57,57,67,62,63,91,37,51,61,82,69,72,67,59,82,78,78,80,73,71,67,60,62,66,65,70,73,89,94,66
62,61,72,55,89,62,73,68,68,64,64,62,68,45,64,62,55,97,87,73,65,75,75,75,88,72,74,70,68,75,73,67,60,54,55,56,57,73,71,70,74,81,74,60,90,81,56,66,81,67,97,92,66,67,68,61,76,76,82,74,79,86,78,84,54,42,52,58,60,59,55,77,73,67,51,83,74,74,77,14,46,69,81,75,82,54,67,62,66,67,75,74,70,73,78,77,63,61,89,79,55,50,71,70,78,60,66,70,53,45,96,80,75,69,82,75,46,54,71,69,68,70,70,70,67,68,68,69,67,71,65,66,62,60,77,69,67,70,75,64,59,61,98,58,51,75,81,70,66,80,63,77,88,76,70,77,52,76,84,62,67,67,76,53,64,69,104,77,88,74,41,48,46,49,49,52,61,81,95,96,96,67,63,71,63,68,65,66,67,70,57,66,67,58,63,60,54,64,61,68,72,68,73,66,53,49,64,59,35,51,58,76,77,68,51,100,105,82,79,76,74,68,69,73,52,53,52,60,64,68,69,71,75,76,73,64,68,82,88,84,76,95,61,66,54,54,72,82,69,73,70,68,88,67,63,56
63,63,60,57,53,58,85,76,61,68,68,66,65,76,46,62,67,59,66,63,60,82,52,61,78,75,71,73,75,75,71,71,70,56,66,93,94,94,105,64,56,56,57,59,59,85,111,74,75,69,83,69,75,68,65,69,71,67,70,70,67,65,65,64,68,68,77,80,30,46,55,77,71,72,67,65,80,90,39,95,91,89,91,66,69,69,70,67,72,72,49,71,70,68,72,71,80,82,67,55,78,89,90,78,67,55,60,67,60,61,50,52,72,88,96,74,64,76,54,48,60,69,66,70,69,66,63,65,68,71,65,66,86,74,76,78,70,70,82,84,97,38,55,97,91,73,86,86,72,71,77,62,68,51,93,64,94,63,67,70,97,73,67,55,67,60,76,82,45,55,77,96,80,108,97,93,108,101,41,46,33,60,50,61,82,75,74,62,81,64,78,78,69,61,70,67,66,65,73,65,67,66,66,83,61,71,89,59,62,66,82,88,76,51,42,58,63,46,64,68,98,73,55,56,63,60,59,54,55,68,75,69,68,75,72,85,97,91,89,89,34,74,92,99,59,53,39,94,98,101,81,76,74,82,80,83
91,76,71,73,66,75,48,70,71,66,63,67,66,67,74,83,45,52,68,50,54,59,64,86,76,67,68,71,69,69,67,67,83,66,55,62,74,68,65,66,72,73,77,75,72,72,79,66,69,62,67,56,55,51,61,93,82,79,74,71,65,74,66,65,67,68,71,68,70,78,93,77,69,75,78,68,79,60,76,58,81,78,91,71,66,70,67,63,52,69,65,78,70,47,72,76,72,70,77,68,69,69,59,64,91,106,101,91,100,66,34,38,59,71,58,67,61,60,61,64,78,82,74,57,72,67,98,70,70,66,69,74,67,51,76,93,71,101,80,75,75,77,88,72,67,61,69,68,87,82,74,78,60,71,75,65,115,67,67,74,73,68,77,72,82,57,65,64,57,55,62,62,70,67,60,80,58,54,52,49,78,68,107,123,73,62,60,60,73,80,84,58,88,67,56,93,102,77,70,64,63,62,66,65,61,78,84,65,68,69,80,70,84,81,68,70,65,99,100,80,68,55,47,62,60,81,88,90,56,64,59,71,71,68,65,67,64,63,63,64,76,70,72,54,64,72,88,41,54,47,88,62,74,65,50,63
67,60,102,91,76,74,93,86,71,72,68,84,76,67,63,59,77,78,62,51,54,51,55,57,60,61,77,66,69,66,89,68,51,91,82,83,45,71,77,71,73,72,68,70,68,71,80,80,79,82,84,79,80,80,77,73,75,66,65,69,66,57,81,98,81,68,58,60,61,66,62,56,58,69,69,50,37,57,75,79,110,108,85,80,59,58,82,74,75,73,62,64,76,79,75,70,57,78,69,72,72,69,73,73,70,73,66,64,61,66,57,85,76,78,67,63,66,66,68,69,86,101,81,73,66,54,65,63,68,69,70,74,68,73,48,59,53,61,72,98,62,61,60,67,68,63,68,69,54,77,75,66,78,88,84,63,81,69,71,80,80,74,82,63,75,70,47,53,75,53,74,83,73,52,53,98,60,71,64,63,63,92,82,47,69,73,78,85,78,61,69,64,77,89,54,54,54,55,56,71,88,76,74,96,87,84,65,61,60,37,79,77,78,79,56,69,57,49,65,75,82,57,69,65,63,74,77,76,57,79,66,69,79,68,65,69,72,63,69,60,66,70,65,71,42,47,58,63,78,69,58,71,63,76,78,89
56,61,57,61,55,50,43,50,60,80,62,57,56,83,87,69,51,53,71,65,65,55,70,72,39,47,38,69,73,96,67,76,39,59,96,72,75,86,81,69,69,70,71,72,72,72,84,85,81,81,83,83,78,76,77,76,69,78,74,71,71,85,69,67,58,59,52,66,89,66,53,59,55,55,55,53,64,77,54,43,58,56,56,109,90,91,79,51,69,46,49,100,86,78,81,70,72,72,75,71,75,73,74,77,73,70,72,70,66,75,81,72,69,67,86,88,70,68,71,69,23,33,59,68,73,87,94,97,84,58,57,72,71,70,69,64,119,51,38,30,79,71,68,66,61,64,65,70,66,57,70,63,64,69,64,78,55,53,59,66,80,95,90,74,44,54,66,63,61,53,82,67,62,72,71,86,100,93,40,63,73,68,61,69,66,75,60,65,67,67,70,75,66,60,56,63,68,71,64,59,51,53,49,48,52,49,69,72,56,56,61,67,72,90,67,81,72,44,76,71,72,69,75,50,62,73,100,51,64,51,46,49,48,87,100,95,86,70,71,68,64,68,66,66,65,56,60,53,51,50,55,60,67,73,86,82
61,60,60,54,55,89,76,63,60,66,63,62,60,64,57,73,77,79,76,74,79,68,51,60,72,66,64,62,11,78,64,61,63,82,62,68,82,68,69,68,74,73,72,71,67,73,69,81,84,76,78,80,76,81,78,79,82,76,70,83,83,57,72,71,71,64,77,70,74,66,91,60,52,55,53,57,51,56,59,65,83,40,62,65,50,51,90,70,76,40,60,65,63,45,73,75,63,56,62,42,39,53,59,71,75,77,74,66,71,72,68,70,69,72,77,69,64,54,51,62,91,102,93,49,51,70,65,66,57,74,101,106,58,55,68,69,60,75,61,61,56,92,76,78,79,79,74,64,82,57,62,79,75,67,80,76,66,66,70,65,71,50,59,74,81,58,57,54,80,60,41,78,77,34,67,76,69,73,75,91,51,43,56,98,67,64,53,62,65,59,77,64,61,61,65,62,65,69,65,62,62,61,57,60,56,77,73,67,63,51,54,64,61,43,60,73,60,46,74,75,73,83,66,68,81,84,60,24,52,32,83,69,67,59,63,48,28,52,93,81,77,51,64,44,63,62,53,59,67,64,67,69,62,65,42,47
55,59,72,88,73,71,70,71,69,62,62,60,65,64,61,61,64,82,106,51,54,62,75,59,81,73,65,68,65,59,63,61,59,65,62,66,71,60,67,92,75,72,70,67,72,71,69,67,81,80,82,76,73,81,79,76,82,62,67,69,48,76,67,76,71,70,74,69,70,84,54,53,82,57,57,61,60,56,56,52,57,80,114,50,49,63,48,110,83,76,80,93,96,94,85,61,62,59,56,56,70,68,76,69,63,75,66,80,74,70,71,73,68,69,73,71,75,67,72,72,68,69,68,63,64,65,67,50,43,67,62,57,49,73,105,54,60,67,80,74,71,49,101,86,73,76,50,59,66,63,66,62,70,66,64,61,80,62,67,65,70,73,97,88,73,78,91,81,72,70,70,48,36,35,39,75,96,86,72,67,78,31,66,57,66,59,83,49,62,92,64,64,63,63,62,63,66,62,63,66,56,62,60,65,60,58,61,67,64,75,87,78,102,93,76,67,58,67,40,46,59,93,76,63,61,66,66,73,80,84,96,87,90,60,62,77,67,66,67,58,55,58,65,52,85,72,58,60,63,65,67,65,65,71,91,96
68,77,77,77,71,67,75,74,69,78,63,64,47,61,64,62,60,65,63,62,60,70,82,83,83,73,68,63,65,67,63,67,61,60,74,78,81,83,91,86,48,69,73,72,72,70,73,72,79,80,76,75,77,82,76,76,76,69,74,71,69,72,81,64,52,61,70,74,70,70,78,84,64,64,83,48,48,59,76,73,81,91,92,78,92,49,58,60,51,103,80,74,67,67,79,60,60,57,54,55,59,63,53,60,75,65,71,83,58,64,72,78,76,79,70,70,76,75,75,71,69,72,71,66,76,54,54,58,63,68,49,38,64,68,72,52,66,68,59,75,73,69,65,47,83,109,100,65,65,69,65,62,68,69,76,63,68,78,73,52,78,78,56,106,69,77,69,81,49,91,84,80,68,64,65,69,51,44,56,68,67,72,62,58,55,65,43,59,61,62,64,61,59,64,60,62,67,66,62,59,58,59,63,62,75,82,91,81,70,58,53,57,65,64,57,74,82,77,70,66,70,66,74,75,69,71,56,49,47,48,50,67,108,117,88,58,58,81,116,65,65,68,66,72,66,49,70,77,100,96,80,85,79,77,70,61
62,71,59,54,71,71,72,71,74,69,72,64,59,60,56,62,60,60,63,60,60,64,61,61,52,64,84,84,73,61,65,59,62,62,38,56,58,65,80,78,80,65,58,68,70,69,65,79,68,80,81,80,74,77,74,78,79,70,67,72,75,54,61,61,79,76,77,66,54,63,97,58,62,61,59,60,65,63,88,61,42,50,49,82,78,75,83,40,55,62,51,54,100,75,67,66,52,61,63,106,82,75,73,77,78,65,74,73,75,66,49,62,72,59,68,66,69,75,73,66,67,46,42,55,56,56,53,56,53,59,54,61,70,82,61,53,46,60,85,103,68,65,61,72,68,66,56,92,80,92,79,72,54,51,66,65,75,80,64,114,88,68,84,67,64,78,67,64,40,47,58,59,63,62,65,62,59,78,78,73,72,85,56,77,61,54,61,81,82,55,64,62,65,62,62,64,65,67,69,62,64,61,64,76,77,73,67,54,50,65,77,71,65,65,44,81,96,87,85,71,79,73,74,69,76,67,80,81,91,101,75,74,55,61,91,82,44,37,42,66,92,83,89,93,75,94,85,69,66,56,70,72,68,67,66,64
89,74,77,74,47,30,54,68,75,50,57,51,70,64,71,60,57,60,61,64,65,64,70,69,69,67,53,50,78,66,67,66,71,69,71,62,54,54,54,80,54,67,91,47,46,59,67,64,67,75,77,76,80,74,78,75,70,70,75,71,71,66,62,62,70,74,75,76,74,76,60,62,64,67,68,67,64,64,81,82,49,65,63,61,85,72,67,81,92,34,52,65,52,71,89,85,66,61,59,32,54,57,71,75,86,83,76,74,76,72,65,66,69,65,82,82,84,85,77,76,75,65,62,71,73,66,59,56,77,82,63,66,55,61,63,81,76,77,68,58,64,65,62,60,65,70,69,64,43,51,38,56,81,88,81,76,68,71,49,68,79,80,50,41,22,84,68,69,75,70,94,80,105,87,49,58,64,59,73,72,74,78,37,48,54,58,77,74,74,71,74,93,64,60,42,49,63,66,65,63,59,61,61,60,58,51,77,61,70,70,54,70,71,56,52,62,68,65,65,65,63,57,97,73,98,70,72,69,67,69,62,66,81,67,25,67,79,72,68,44,36,67,68,49,87,109,68,43,55,75,68,75,81,52,79,61
63,57,51,55,62,73,72,124,105,106,59,71,70,71,57,66,76,85,55,63,61,62,67,67,63,72,55,51,77,74,76,67,70,72,71,68,59,72,64,69,62,64,43,78,79,82,91,42,68,103,80,80,81,85,75,79,78,72,68,72,69,74,58,67,64,76,73,71,72,76,72,52,63,66,63,68,63,62,63,80,69,57,32,63,79,67,65,70,68,72,77,31,62,62,50,41,93,75,97,74,74,66,73,75,41,71,76,71,66,69,73,67,63,69,73,78,72,84,61,64,66,58,53,63,66,58,59,44,67,66,64,57,62,81,97,91,89,81,86,75,91,84,82,91,42,49,44,57,43,56,85,75,65,53,48,97,85,76,82,80,88,83,105,109,86,72,75,70,67,68,71,72,65,44,68,75,64,68,71,74,79,73,98,98,97,98,57,83,95,82,88,76,64,53,58,71,82,79,75,66,62,61,63,62,56,63,60,61,59,63,61,63,68,72,70,67,78,72,66,70,74,75,75,71,48,99,95,95,77,73,63,71,63,59,75,83,65,64,68,69,81,96,93,101,69,40,47,58,72,92,37,46,76,88,80,74
76,66,71,65,70,57,41,80,87,109,57,59,47,51,100,79,90,89,77,78,64,46,69,69,69,71,62,51,78,82,66,59,70,68,65,70,66,84,89,60,68,79,58,76,71,64,67,73,84,55,69,74,85,78,78,82,79,68,68,73,69,72,60,64,67,74,77,74,74,76,55,58,66,67,64,70,65,69,63,85,69,80,116,99,90,96,77,72,60,59,60,63,72,43,61,66,55,42,37,96,91,84,92,58,78,72,78,75,87,77,69,68,85,81,81,81,78,63,61,57,74,84,63,74,70,69,72,71,66,66,67,68,70,69,66,60,70,89,89,81,83,79,103,69,78,72,72,79,84,71,66,71,73,66,67,56,52,84,97,96,86,68,63,71,53,55,51,60,75,79,54,48,45,81,61,66,53,107,75,28,50,76,51,24,57,57,57,100,68,49,66,73,70,72,88,71,79,69,67,58,72,74,63,61,64,61,64,60,58,66,64,62,62,63,69,67,71,71,67,65,67,62,73,76,75,73,70,61,52,53,97,76,71,64,66,64,67,61,61,67,74,71,71,60,61,81,97,89,83,70,68,70,77,72,72,71
69,65,54,60,74,74,70,69,40,68,69,94,124,82,55,58,61,66,64,66,66,71,81,111,55,62,51,63,85,39,49,61,63,57,63,67,44,88,106,77,69,68,75,74,67,68,62,67,68,66,86,93,97,84,78,47,82,68,71,68,66,69,78,58,69,64,78,74,78,81,77,76,55,63,64,64,63,65,67,74,58,65,68,69,65,48,49,66,63,58,53,51,56,72,51,39,49,76,67,56,42,41,29,68,90,80,73,64,37,87,74,95,62,72,76,70,72,63,61,52,61,70,77,63,62,53,64,65,68,70,64,67,65,69,67,64,70,64,62,91,100,94,94,28,89,39,56,67,74,90,69,55,69,73,67,68,69,65,59,45,50,68,64,65,38,64,64,78,70,70,59,77,73,65,65,69,64,44,72,67,94,81,58,64,79,87,93,56,28,86,85,77,40,73,81,79,81,53,39,71,75,73,68,84,91,90,65,62,62,62,61,63,57,59,62,65,76,80,72,66,61,65,59,70,68,68,73,72,71,73,56,64,64,97,89,77,74,68,74,67,69,73,64,62,73,70,73,70,72,64,61,55,56,68,72,76
74,63,56,58,69,70,62,57,65,81,73,21,55,77,86,91,86,75,74,66,65,65,62,75,74,57,65,68,73,67,62,64,64,63,64,64,49,49,56,61,71,63,68,39,73,79,65,70,63,59,71,59,55,54,45,94,59,66,52,69,68,70,70,66,65,66,78,73,79,60,68,88,55,67,65,67,68,62,63,63,73,73,74,73,68,45,35,34,80,59,58,57,58,58,55,54,72,26,40,59,61,57,60,60,103,82,54,95,87,73,51,71,71,58,78,65,72,72,75,76,67,73,72,62,73,72,86,69,60,55,69,68,66,64,71,69,69,70,65,71,66,81,83,85,70,69,72,13,50,102,88,66,101,55,59,60,62,64,71,72,69,80,64,64,75,53,64,75,71,65,66,68,64,59,66,61,46,58,44,95,68,68,78,66,65,56,62,61,59,93,22,73,83,81,36,71,78,98,74,77,35,100,98,78,86,69,22,30,47,85,77,71,38,36,59,76,72,73,64,72,68,69,68,70,70,66,64,75,69,70,68,75,76,68,68,56,63,90,89,79,74,67,70,64,60,70,71,81,79,69,87,86,69,81,84,85
99,99,70,65,77,93,79,67,67,67,59,71,82,85,47,71,69,48,81,100,75,61,59,74,73,84,72,74,71,70,61,64,65,66,66,62,90,120,35,44,78,94,90,76,71,60,64,71,73,68,67,90,45,68,65,63,64,64,62,64,61,71,67,74,62,62,59,84,74,74,69,67,71,63,63,66,64,67,67,64,71,70,73,66,57,89,83,104,65,90,74,61,61,57,55,54,56,61,72,88,41,101,63,64,62,75,65,58,64,96,76,80,63,57,57,75,70,64,59,68,73,78,73,72,77,66,65,72,74,77,64,56,67,66,69,70,67,69,70,68,65,65,64,72,80,77,74,75,95,66,52,64,94,100,46,50,66,45,48,34,46,70,59,71,65,67,54,69,75,74,68,75,87,63,65,72,81,69,43,85,73,79,79,85,76,67,61,63,59,42,39,109,87,40,61,91,100,79,71,68,65,99,103,98,90,77,100,78,72,73,64,64,65,63,76,89,59,55,75,73,68,71,67,65,71,73,72,72,72,68,74,76,68,68,75,69,70,68,57,57,76,79,73,62,61,69,75,30,87,111,78,61,52,51,46,43
70,62,55,75,72,51,78,85,77,68,64,87,84,84,86,47,83,72,37,50,51,88,73,72,75,68,80,68,68,74,64,65,84,63,61,63,48,57,57,60,68,72,65,53,52,76,96,96,95,70,70,72,74,96,54,79,64,87,73,70,71,85,68,65,48,65,67,82,84,74,79,77,74,48,69,56,64,67,88,70,71,63,59,74,77,61,50,75,67,64,75,87,66,60,53,61,61,62,65,70,64,39,52,59,38,73,70,81,55,56,37,82,78,73,69,66,61,59,62,65,72,69,77,89,92,82,71,74,72,79,77,72,66,64,56,70,69,66,69,68,70,65,67,69,67,61,65,73,75,79,89,100,37,63,86,51,44,57,78,63,64,92,75,76,101,43,86,67,68,62,79,100,70,69,68,65,61,71,90,67,57,68,76,81,61,59,66,55,66,61,68,67,21,103,90,74,72,71,84,69,82,97,122,45,67,82,88,68,73,60,73,67,70,69,60,64,94,88,75,48,60,69,57,69,65,65,61,73,71,65,69,72,80,71,68,60,63,61,53,54,65,65,66,76,68,62,67,76,81,40,65,70,60,67,71,66
73,74,75,79,71,77,84,44,81,93,85,19,82,85,83,84,87,80,97,100,105,31,75,72,71,70,59,57,61,72,41,60,35,63,64,78,80,48,71,73,77,77,72,73,77,70,70,56,49,72,72,73,78,85,75,54,78,73,71,71,73,80,83,80,81,28,38,39,78,76,74,68,65,81,142,99,131,103,88,57,36,82,100,74,63,83,91,35,68,72,70,80,80,78,67,61,66,66,72,70,75,66,85,86,72,72,76,58,73,64,70,52,62,78,89,97,90,70,91,90,99,81,83,80,78,63,68,74,75,76,70,69,73,73,74,62,52,59,61,66,72,73,67,68,68,63,71,65,61,61,71,64,67,83,36,63,96,67,64,60,94,35,66,60,75,53,60,88,71,73,57,75,100,80,68,82,74,73,75,75,87,90,84,57,82,86,75,75,67,78,61,57,60,82,49,61,54,56,60,76,74,83,47,74,139,57,56,51,59,87,67,60,67,56,61,54,76,57,66,65,70,71,68,72,78,55,36,34,58,55,48,53,83,89,87,81,80,73,65,62,74,77,74,75,64,68,60,57,59,64,87,96,60,33,43,66
78,57,68,76,72,74,102,81,68,72,77,87,94,87,85,83,83,91,78,84,85,79,81,72,69,72,58,55,61,62,68,76,73,69,66,67,75,90,70,73,73,77,73,75,74,80,79,75,74,77,66,60,96,95,100,102,71,76,78,76,81,80,89,66,85,72,86,90,90,100,117,102,68,74,76,76,70,54,58,88,83,44,61,61,78,75,77,83,65,51,97,79,58,65,75,76,75,69,65,69,68,66,78,68,71,70,94,103,100,51,40,42,56,59,69,74,78,67,68,75,61,78,75,72,86,88,104,81,65,76,81,74,78,73,75,76,72,78,76,70,47,72,63,68,68,62,68,67,66,57,72,99,78,73,68,76,22,41,57,65,77,56,71,89,60,78,51,63,89,73,80,60,66,83,78,75,76,74,72,74,78,70,71,80,82,66,79,76,60,76,67,62,56,67,69,66,57,48,54,60,57,64,61,63,62,75,74,49,63,63,57,59,65,63,66,87,71,49,66,69,68,63,61,62,66,69,51,64,79,79,69,69,67,88,65,54,62,74,60,59,65,62,69,62,69,65,47,54,90,91,71,77,63,78,80,96
61,88,59,72,61,58,57,64,77,63,65,87,95,82,81,87,82,103,103,101,89,76,73,73,75,71,71,60,66,61,58,60,69,72,75,71,65,70,105,111,79,75,75,75,77,80,88,76,71,72,73,76,79,71,67,67,75,96,94,83,73,73,79,79,74,82,81,84,85,86,84,86,84,99,56,56,51,57,60,73,49,77,76,68,68,68,65,76,83,92,81,82,64,72,61,74,73,81,69,78,76,80,80,74,78,78,76,64,78,76,69,74,71,52,58,66,75,91,70,46,68,66,74,71,73,75,77,61,84,66,58,56,74,73,67,72,81,68,71,84,87,72,55,65,66,66,67,67,67,64,63,56,43,90,95,69,65,72,78,51,44,69,65,58,77,70,72,61,61,81,75,72,70,85,81,72,78,80,71,75,74,65,68,65,67,55,78,60,81,70,64,68,70,69,65,66,70,80,95,98,95,85,67,61,94,61,66,96,62,64,58,77,75,74,98,81,74,67,89,86,105,92,74,62,65,70,46,75,74,73,68,68,68,69,59,54,66,68,89,59,58,69,66,72,78,84,70,75,76,70,70,70,83,85,95,80
56,42,60,60,58,57,49,24,68,72,55,54,49,83,83,95,110,65,46,58,101,91,81,77,86,81,71,71,39,40,74,90,69,67,70,77,73,75,71,86,73,70,75,74,78,77,81,71,79,76,82,53,74,86,77,77,74,71,74,70,66,93,73,80,79,74,76,79,82,84,80,77,83,85,85,78,79,78,82,38,92,76,77,58,55,66,82,91,88,84,79,81,77,88,79,75,79,93,82,80,81,75,82,79,80,83,78,71,75,71,74,66,70,70,87,80,105,97,65,60,58,69,50,68,77,65,52,73,76,70,75,66,83,69,74,82,49,79,72,82,48,51,88,68,73,86,72,51,67,68,65,67,59,76,59,69,68,66,65,80,81,86,60,40,36,51,94,73,43,45,62,63,44,57,88,76,73,64,79,67,71,64,64,70,71,84,84,77,65,65,68,62,64,72,66,73,65,75,72,67,66,63,52,58,66,75,57,58,66,60,67,63,64,36,63,72,70,67,80,53,68,70,53,70,86,102,83,79,102,71,61,69,65,67,71,84,66,50,53,62,49,39,75,48,59,71,75,79,70,76,73,76,73,77,77,76
64,77,61,55,92,98,84,61,79,76,80,73,62,68,108,68,68,62,105,74,61,56,54,63,103,116,103,88,78,80,93,56,47,89,88,74,71,89,60,55,63,83,43,70,65,110,85,80,75,73,77,60,53,58,77,83,74,77,76,74,77,72,62,93,82,79,79,67,65,71,75,73,77,82,86,71,67,77,70,70,64,70,80,69,60,71,48,27,66,86,78,94,80,81,82,84,69,86,89,81,82,76,71,76,83,80,80,83,78,66,72,67,59,59,34,57,64,59,56,53,53,56,57,69,67,78,85,61,65,73,78,70,61,95,87,88,47,42,76,61,63,61,61,79,61,81,88,90,82,59,53,68,99,72,91,73,62,66,79,82,77,74,72,75,84,80,69,61,98,73,62,96,115,116,86,75,75,96,78,73,79,67,68,66,62,64,66,65,67,64,69,64,70,60,69,74,64,68,77,74,77,72,66,67,72,55,85,66,70,81,65,77,80,76,58,68,81,65,69,74,101,96,89,62,43,57,46,77,57,48,71,70,68,68,67,69,67,88,51,61,70,65,68,73,74,71,72,80,72,78,73,75,71,74,75,73
78,67,65,72,69,82,55,34,53,54,92,70,60,45,39,59,78,78,72,61,52,40,50,74,70,66,60,56,61,92,107,90,88,50,31,63,68,77,67,64,65,61,107,132,96,85,84,69,79,90,53,81,88,75,74,48,84,79,75,71,75,74,73,72,63,99,85,85,78,71,62,60,78,86,77,75,74,67,67,69,73,67,62,55,71,42,75,83,72,73,56,66,72,88,83,84,81,83,88,101,106,83,61,79,78,81,74,83,56,72,71,62,62,60,63,61,58,56,58,50,56,57,57,67,76,69,73,80,86,49,75,78,76,70,59,90,76,91,78,75,40,81,73,68,81,65,61,70,77,64,75,77,77,47,56,67,77,75,83,74,76,74,74,72,76,76,45,73,77,78,72,71,74,78,60,67,86,43,51,90,80,65,66,61,61,67,67,65,69,62,65,63,68,68,73,23,58,73,74,73,71,74,72,67,75,74,67,53,53,61,84,80,76,65,45,64,62,70,71,68,66,66,74,74,70,74,123,82,124,65,58,68,75,67,66,70,80,50,120,63,64,70,76,76,74,77,73,75,74,78,78,71,73,73,70,78
66,63,62,65,68,70,76,90,69,40,81,60,61,71,63,73,79,78,75,62,66,65,71,89,93,100,92,61,35,36,47,55,53,65,61,103,82,58,59,79,58,64,57,69,78,103,91,65,71,82,68,41,32,75,66,72,46,59,82,78,76,75,71,75,73,76,66,96,100,71,75,66,72,76,78,81,67,67,65,69,69,66,70,71,69,68,78,92,83,64,74,71,77,64,57,60,57,58,61,66,66,55,60,70,70,80,90,59,79,96,79,73,59,61,61,64,58,51,53,55,58,61,73,65,78,80,73,70,76,80,90,54,70,82,76,60,61,90,87,74,76,68,65,69,70,71,55,85,66,71,68,71,71,83,84,73,71,73,75,78,72,86,77,73,71,68,80,43,44,54,71,75,80,82,76,80,78,68,93,63,24,71,68,72,91,103,93,79,72,71,69,68,65,64,69,71,75,54,33,67,78,71,73,77,71,72,72,78,75,77,68,91,72,74,73,71,64,63,63,67,75,69,68,82,56,108,61,67,65,65,59,62,67,80,68,71,48,60,80,67,76,55,88,74,77,72,74,71,75,78,70,72,72,73,78,75
57,68,63,64,59,59,63,72,62,60,59,60,74,91,87,68,57,58,58,54,57,63,65,74,72,76,80,72,75,77,72,65,92,99,75,53,77,73,66,74,57,67,75,71,70,44,68,77,80,76,82,68,58,61,57,66,62,87,77,67,64,68,79,72,63,62,65,71,67,62,66,50,75,76,78,99,47,55,97,70,70,70,67,71,70,71,83,80,86,70,62,45,60,80,84,77,62,60,79,84,53,75,55,64,67,68,35,64,69,68,72,66,62,55,59,60,64,69,53,54,61,65,65,74,64,66,74,75,60,83,82,89,85,87,50,64,64,74,73,82,90,91,79,72,78,77,82,76,77,69,70,73,38,82,71,66,77,70,72,73,73,55,74,71,68,70,72,67,70,76,86,73,68,61,63,74,75,78,74,72,63,104,73,76,81,46,45,34,48,84,60,61,81,92,90,87,80,70,71,82,65,55,70,71,74,76,71,68,75,72,77,71,87,76,81,86,73,48,86,69,62,68,61,63,69,72,63,66,67,65,70,82,63,58,60,99,69,62,68,60,60,64,66,60,71,61,74,74,78,69,74,77,73,71,73,72
69,55,58,62,60,55,55,62,61,63,58,55,82,70,54,86,63,79,67,61,67,71,66,65,61,68,68,65,65,66,87,81,71,72,70,75,77,68,65,110,110,96,66,62,56,72,67,73,87,87,99,90,62,61,61,60,58,65,70,67,65,72,68,95,83,85,73,77,65,70,68,59,68,69,59,72,106,77,59,53,69,72,70,86,85,74,69,68,76,76,82,84,85,21,77,80,71,87,89,104,40,63,70,70,85,77,67,35,69,72,61,62,65,59,60,63,51,65,81,84,79,72,71,76,75,68,74,66,64,59,62,76,78,74,78,81,77,69,62,72,76,73,71,62,68,88,74,78,73,75,71,74,81,69,77,72,68,76,72,76,68,71,72,80,80,76,78,76,65,68,72,47,50,84,80,88,62,84,72,83,70,75,70,78,93,67,52,59,71,77,80,75,81,83,77,74,59,65,68,62,67,79,87,68,57,63,64,69,73,77,71,71,74,88,53,73,56,65,75,77,66,63,72,68,76,70,74,70,65,70,54,63,73,66,67,64,64,62,68,59,63,66,71,70,70,75,64,67,80,72,78,91,88,68,78,85
60,74,62,69,73,82,77,61,63,61,69,76,30,89,72,56,54,66,80,68,70,68,82,68,77,48,62,75,73,73,75,59,64,90,80,75,79,72,70,56,44,57,50,68,55,65,74,97,53,52,61,70,93,78,76,75,67,68,69,70,69,66,81,71,72,89,76,66,67,88,98,81,75,79,61,69,40,54,60,78,68,67,75,35,85,84,75,75,68,77,78,80,78,82,66,67,78,93,94,99,105,93,87,54,53,51,69,61,62,51,63,58,61,59,58,70,73,84,69,64,62,65,81,77,75,72,58,57,69,70,73,77,75,73,72,76,73,78,79,84,57,75,73,76,78,66,86,96,77,82,73,74,75,74,85,82,71,73,70,74,77,69,72,73,73,74,70,76,79,70,69,82,96,78,74,75,74,86,61,71,77,74,75,74,70,94,103,87,75,74,55,69,67,68,80,81,75,99,71,65,70,70,64,80,50,52,69,74,70,72,73,70,74,68,119,70,58,51,87,107,86,75,71,68,75,73,72,66,70,98,110,114,60,56,65,60,74,68,70,68,65,71,64,66,68,69,66,72,70,71,73,89,87,69,80,60
65,81,58,67,69,63,52,66,56,62,64,72,78,69,63,72,73,69,78,76,50,42,93,74,57,60,68,70,63,68,71,66,69,68,39,92,77,77,86,98,86,84,42,71,75,73,81,80,86,47,44,48,57,65,79,65,77,44,57,55,73,88,82,60,46,51,64,73,63,68,32,33,76,65,97,80,75,69,67,37,46,26,58,119,62,53,75,76,76,69,73,68,73,69,79,75,53,65,67,67,65,56,54,67,69,63,67,53,54,60,64,58,67,60,65,63,73,72,67,81,65,79,61,83,78,73,76,76,73,72,75,66,75,77,90,89,70,72,71,76,82,78,58,58,69,75,57,56,93,97,76,77,71,101,51,84,71,72,67,66,71,66,71,75,71,77,80,48,79,87,64,67,74,77,73,65,72,67,73,99,51,69,69,83,72,57,58,49,87,70,71,41,85,101,99,105,95,49,67,69,65,75,73,72,73,88,68,41,74,70,72,75,71,73,73,65,61,60,54,51,83,68,76,70,72,67,66,64,68,23,53,32,55,58,79,101,77,85,67,65,77,77,63,67,66,71,64,67,67,68,69,65,60,68,65,76
79,55,46,42,65,105,45,70,57,62,65,69,75,69,92,70,40,44,49,78,92,85,82,75,68,61,60,65,74,71,57,34,46,70,81,60,93,99,99,101,92,81,87,75,75,77,74,72,76,74,72,73,67,76,75,75,70,80,59,56,71,65,73,61,63,64,72,74,69,72,77,90,127,90,72,53,44,66,91,93,78,70,83,48,79,70,64,51,42,79,72,87,62,70,85,73,63,69,72,66,62,74,72,70,75,64,64,62,60,52,60,70,86,84,84,87,70,62,72,68,65,60,75,70,77,89,80,76,79,81,82,79,70,74,83,61,74,77,73,108,90,79,80,73,82,72,75,70,75,72,84,77,79,42,67,92,95,102,77,72,73,67,72,69,70,72,106,62,102,47,66,71,64,64,72,66,66,61,67,68,75,71,70,70,68,83,72,78,59,101,90,71,62,66,76,73,69,72,99,97,73,72,73,69,71,78,58,55,73,76,73,74,72,74,73,71,78,63,75,50,74,76,63,71,75,67,72,72,68,69,86,67,76,43,70,70,58,44,76,72,69,63,63,62,64,66,62,66,65,68,67,67,80,78,74,78
66,64,70,63,75,78,63,58,66,78,49,50,47,70,64,59,60,59,78,88,84,82,84,70,69,68,63,57,68,63,58,67,60,62,63,72,67,66,70,68,61,60,52,62,109,98,91,83,85,102,107,88,69,81,81,73,69,69,63,87,79,79,68,63,68,67,61,56,71,71,72,66,51,71,73,74,70,54,59,55,48,80,86,70,26,74,74,69,70,41,72,42,70,71,74,72,81,68,80,55,67,82,46,41,38,83,82,59,59,89,83,52,67,67,108,98,94,81,69,63,63,56,65,72,96,39,82,106,67,70,72,70,62,57,64,77,60,62,97,44,74,87,79,78,80,72,75,44,84,84,79,79,80,102,114,56,54,60,59,75,78,79,92,67,63,62,26,91,64,70,77,71,72,97,79,64,65,72,89,84,62,63,70,58,75,79,61,78,76,107,74,77,64,75,80,71,67,78,57,57,87,71,71,70,72,67,80,90,72,57,47,75,68,69,77,71,72,68,60,89,55,52,54,82,111,111,107,100,84,84,78,78,68,80,43,41,89,84,68,62,64,59,61,60,59,72,71,65,61,74,78,51,69,68,80,71
65,60,60,75,71,82,105,70,68,53,71,70,69,55,65,54,62,70,73,43,75,84,85,77,77,89,100,87,71,61,58,60,58,59,60,71,85,93,101,90,70,52,40,26,32,20,38,45,50,57,60,51,79,72,72,68,62,59,71,56,62,100,89,82,63,69,76,81,69,67,66,75,87,66,73,66,80,74,83,97,90,52,43,75,68,82,50,75,69,79,36,100,77,69,72,80,75,79,84,145,105,90,68,69,79,68,67,69,76,54,43,42,53,67,67,64,50,70,89,62,69,75,72,74,83,63,40,50,83,101,68,76,57,63,67,65,71,74,79,55,70,67,99,83,79,76,82,77,77,76,78,70,74,27,66,73,68,73,69,104,80,80,52,91,70,70,68,61,77,77,69,75,101,49,73,69,76,73,97,55,82,66,76,74,64,65,92,82,73,76,77,77,70,69,63,65,75,73,46,43,72,76,66,72,69,76,71,73,63,57,48,70,74,75,71,71,77,68,76,69,78,73,68,61,66,71,69,66,48,49,72,89,82,73,65,73,58,59,64,60,67,60,66,61,66,44,77,69,77,101,88,89,74,75,62,76
62,56,69,70,78,82,72,59,65,64,59,73,73,69,78,67,37,61,65,70,80,68,58,58,41,24,46,58,55,62,68,63,79,72,66,76,74,72,76,80,64,64,72,72,77,88,104,109,100,41,56,65,87,72,79,75,68,69,62,41,75,53,48,59,85,68,73,76,75,75,72,79,77,76,84,79,47,67,75,74,79,81,82,73,61,60,73,76,72,53,58,41,38,56,45,74,63,68,64,66,66,107,121,66,93,92,81,76,76,79,75,71,82,50,44,31,53,62,67,56,49,56,103,104,83,74,72,49,68,67,87,76,75,70,70,63,67,70,78,75,74,45,50,99,83,77,75,79,74,82,82,76,78,73,83,61,70,71,74,64,71,58,54,51,106,53,80,96,90,70,35,67,113,63,72,67,73,91,87,84,87,62,37,74,73,73,61,69,97,101,64,50,59,54,67,70,67,68,68,59,94,108,83,75,68,76,61,64,60,59,67,88,43,35,50,70,72,69,72,72,67,77,74,66,80,71,78,71,69,68,68,61,102,97,87,58,59,69,66,84,70,62,59,71,92,37,79,82,80,19,61,39,69,56,72,78
81,58,58,59,74,73,79,74,72,69,80,66,37,55,74,61,69,80,66,60,75,64,66,42,47,77,75,88,76,91,72,68,80,69,71,59,63,60,55,68,61,86,82,83,86,63,71,80,83,78,94,121,103,64,71,66,81,78,49,100,108,91,39,66,70,57,91,81,70,71,72,73,74,70,71,72,74,70,74,75,80,78,74,79,63,62,67,76,63,47,55,110,66,65,59,96,91,80,74,78,73,66,67,77,75,71,70,66,68,64,75,73,65,66,67,73,71,64,55,35,35,46,43,44,71,81,77,69,93,46,69,69,66,64,63,64,62,76,67,93,76,75,64,58,93,80,80,80,71,79,78,74,73,73,70,81,51,63,43,75,77,59,73,69,40,76,60,71,54,63,105,44,57,62,69,113,67,66,67,78,70,77,28,68,63,78,98,83,68,77,78,81,75,74,78,67,70,73,72,75,66,58,100,113,74,106,116,87,69,68,63,62,60,64,72,42,68,73,72,75,76,69,74,74,71,72,73,67,95,105,68,48,72,79,75,75,77,60,80,77,77,61,75,42,64,101,78,28,68,84,91,86,81,87,82,57
1 79 77 78 77 88 88 55 69 76 75 81 78 81 75 93 93 83 75 55 64 67 72 70 68 73 63 58 75 70 87 40 61 42 78 91 90 70 65 68 60 63 65 65 62 67 74 82 51 68 75 67 75 73 74 73 70 72 61 76 77 77 74 73 75 78 72 72 69 67 72 82 88 78 79 63 62 44 67 64 62 90 95 73 69 73 72 93 63 66 67 67 72 66 66 69 64 67 71 71 68 67 71 66 72 69 69 71 67 72 68 63 71 73 60 59 59 69 50 57 43 50 38 74 97 45 51 62 78 95 36 91 68 69 92 65 57 68 66 68 72 66 99 96 61 52 72 77 79 87 80 77 71 70 78 102 99 88 87 64 49 78 86 77 60 85 88 93 92 83 88 89 86 76 81 86 84 85 85 104 77 77 75 70 83 79 94 82 82 85 57 79 99 87 93 59 59 69 67 71 69 62 85 94 75 80 80 79 83 68 67 73 79 77 76 79 89 90 85 66 74 69 70 57 71 61 58 64 53 55 53 57 70 43 82 73 59 67 75 78 69 72 60 76 66 63 80 74 57 55 67 59 77 65 60 60 62
2 64 65 69 81 96 89 70 69 65 68 78 78 78 75 68 60 55 76 62 75 75 68 68 69 72 70 67 62 78 78 81 104 87 75 68 70 65 59 61 71 64 55 61 57 58 57 72 83 88 70 70 72 69 70 72 69 69 53 91 76 79 77 77 75 75 76 77 76 76 68 64 67 66 81 69 66 76 82 51 70 63 61 83 80 74 63 72 70 38 74 78 72 68 64 64 68 69 71 73 70 71 72 68 70 70 67 67 67 69 68 67 70 58 73 86 75 70 79 117 126 98 70 62 78 62 110 71 48 56 89 59 72 71 68 68 85 89 46 43 60 66 73 66 94 108 92 52 59 70 82 76 79 77 78 77 82 72 80 88 99 95 54 58 70 80 85 88 89 87 95 85 82 85 92 70 85 86 78 78 81 83 81 82 88 85 74 71 90 84 84 76 62 61 64 81 92 62 65 69 66 70 66 74 79 80 79 76 71 79 86 78 63 73 76 91 58 78 81 75 69 71 74 64 65 64 59 65 53 55 48 54 60 63 60 64 67 74 72 68 59 67 73 75 50 65 71 67 61 68 72 75 72 64 60 60 63
3 52 60 75 75 72 68 69 77 71 69 74 63 75 73 73 81 74 64 65 78 68 68 46 56 72 70 69 71 64 59 68 89 91 78 76 71 66 75 77 79 67 66 56 64 58 54 58 70 67 73 77 69 75 63 68 70 75 49 71 72 78 77 71 76 84 77 75 72 80 73 78 73 77 71 71 70 86 87 98 85 73 37 54 50 64 78 60 87 86 92 49 67 75 69 61 64 68 70 74 70 72 70 71 71 72 65 69 64 63 73 67 67 69 76 59 78 96 86 31 32 54 108 92 39 56 66 66 100 83 54 53 89 73 60 69 76 76 74 86 110 91 51 73 71 75 73 96 110 84 68 71 76 81 76 81 83 86 85 82 77 77 92 91 94 70 86 91 83 79 83 71 98 91 83 87 88 79 82 66 78 87 86 78 88 88 81 85 79 72 69 82 90 103 101 76 75 71 80 50 47 52 60 80 75 63 54 84 93 88 51 64 89 79 79 31 58 71 90 78 73 74 72 76 74 76 71 67 64 57 57 57 59 60 58 61 57 88 85 68 65 71 60 70 68 79 66 66 68 67 70 67 69 60 63 62 63
4 90 131 77 79 79 78 73 68 74 77 79 77 76 61 60 77 76 77 71 67 71 64 78 67 69 52 70 77 73 68 67 64 59 58 92 71 88 81 73 80 80 92 86 70 50 61 69 74 72 73 65 74 82 77 68 77 62 56 66 68 74 78 75 77 72 75 78 76 84 72 79 78 76 73 74 70 76 69 66 103 91 83 49 70 67 64 69 65 62 88 80 85 56 69 72 61 68 71 74 73 73 67 65 65 73 72 68 67 71 73 70 69 69 68 66 74 65 74 99 94 75 40 33 50 123 76 71 70 62 66 64 74 68 66 70 63 55 61 67 64 62 92 94 117 91 44 45 79 73 95 82 89 78 75 78 83 82 82 79 82 80 85 84 82 95 88 73 76 81 80 89 77 96 98 91 84 64 75 73 85 82 61 79 80 82 80 84 82 87 83 72 78 72 68 84 81 73 68 76 82 74 81 68 53 74 68 71 68 58 96 85 65 53 65 93 89 77 70 65 69 71 75 74 78 74 72 71 76 69 62 92 77 69 64 56 61 65 75 70 68 65 65 71 66 71 67 67 68 64 71 63 65 61 63 66 64
5 73 68 77 77 100 72 71 73 74 71 63 62 79 75 80 74 68 57 64 75 68 65 65 67 75 67 63 59 74 72 68 67 63 68 67 67 62 55 76 63 82 51 56 94 77 71 71 68 75 68 72 73 87 85 75 68 59 74 75 73 68 67 58 65 76 76 82 78 80 74 76 77 74 78 73 74 73 73 73 42 33 63 102 97 110 53 60 71 67 62 58 69 75 81 58 49 53 61 70 71 70 70 67 66 65 68 70 69 74 76 72 66 71 66 73 73 75 76 73 64 96 89 87 74 37 80 61 59 62 81 102 95 109 93 87 87 81 89 82 85 59 43 34 18 71 74 82 84 79 79 83 79 76 85 105 100 72 76 78 79 80 81 85 80 82 84 102 87 74 67 82 89 80 84 82 86 67 87 73 67 76 78 72 83 80 87 81 84 83 86 80 81 82 79 63 66 82 74 80 79 66 63 66 74 74 79 60 67 74 71 54 71 64 53 53 50 62 77 72 72 70 67 72 68 71 72 76 78 84 72 70 49 50 76 86 74 70 70 76 81 68 66 64 69 69 63 63 65 75 64 71 62 61 60 59 62
6 77 79 84 98 73 81 79 78 66 59 55 69 54 57 74 69 73 68 72 77 42 52 64 65 60 63 70 78 70 46 52 69 66 66 77 78 76 71 65 65 48 52 92 107 89 71 72 76 79 76 81 80 80 82 71 73 74 74 62 63 58 67 84 94 74 52 62 69 77 80 71 76 80 80 71 73 72 73 71 77 77 52 43 60 105 77 81 54 68 78 86 78 61 68 84 76 79 86 80 47 64 77 78 70 79 76 71 72 72 76 73 68 69 68 73 77 70 75 73 78 71 67 87 83 90 86 44 45 70 70 65 42 59 73 81 63 64 56 82 97 79 81 74 78 75 72 72 74 84 65 44 47 67 83 85 79 82 100 92 68 83 79 83 89 90 81 80 96 107 98 88 84 74 68 83 97 68 77 101 86 77 76 88 71 69 66 76 79 80 81 86 82 81 79 72 82 78 74 71 78 92 73 98 88 72 68 75 90 60 49 57 67 67 94 86 80 46 62 61 95 86 75 76 73 78 78 77 74 77 70 44 97 68 61 64 63 53 66 75 81 79 73 63 65 61 63 47 70 63 65 67 64 62 60 62 60
7 81 79 76 75 75 78 71 78 69 70 79 100 104 79 117 67 64 68 65 65 71 78 67 54 61 68 63 78 88 89 87 79 45 64 82 80 68 66 68 67 72 68 57 64 72 86 77 70 98 103 82 81 82 74 54 62 69 79 87 93 104 88 82 89 75 77 81 72 76 54 61 68 70 79 69 71 73 70 71 75 81 74 76 54 34 59 94 79 88 84 45 65 111 56 69 50 81 89 72 77 87 57 56 74 68 66 77 68 72 75 77 62 71 70 72 75 70 71 71 74 73 70 68 55 72 83 85 88 85 55 34 75 78 79 72 64 61 73 78 68 82 118 118 97 68 72 59 73 76 72 74 81 101 115 103 63 59 83 84 91 102 82 69 77 84 87 83 93 85 78 91 98 97 93 84 51 101 72 80 68 89 72 73 80 87 88 68 69 79 79 83 80 82 78 76 74 74 74 67 90 66 91 49 65 56 99 86 77 65 74 87 51 63 66 55 77 94 57 69 75 60 52 50 77 102 106 94 69 69 68 70 88 53 58 62 60 60 60 65 61 60 69 75 70 70 52 75 37 78 69 73 66 73 81 71 57
8 55 67 75 74 72 72 72 77 68 64 70 70 64 66 71 52 60 62 63 64 73 81 86 86 89 76 57 70 68 65 56 62 75 72 65 40 53 66 65 65 67 75 76 75 68 63 47 58 57 58 72 69 73 53 47 48 71 26 28 51 72 71 79 86 75 84 63 106 92 74 65 63 65 57 62 70 72 72 68 70 76 73 72 74 81 69 75 68 83 75 76 74 41 54 76 62 68 58 61 79 77 66 77 64 56 68 73 73 71 72 74 68 69 70 71 73 68 72 71 71 70 69 66 69 70 64 62 62 89 87 81 70 60 65 67 75 74 83 80 81 79 74 72 74 101 98 83 53 52 67 76 77 87 86 79 91 110 107 58 76 83 80 105 104 81 66 65 73 86 78 80 85 83 81 106 75 89 48 69 73 73 76 99 88 78 83 82 87 89 75 82 79 81 75 82 76 74 79 74 85 76 75 63 112 98 66 58 78 73 70 66 80 54 80 74 41 97 67 87 53 53 69 71 63 70 65 56 60 88 85 71 66 85 82 69 60 56 58 62 59 56 71 51 58 64 65 63 67 28 70 72 67 37 46 84 91
9 72 87 71 62 76 69 72 72 71 66 68 73 68 93 88 76 69 60 53 70 73 58 54 97 95 82 87 77 59 73 68 65 63 67 85 87 80 79 71 59 56 69 71 69 79 72 66 61 62 63 61 53 54 71 56 56 58 57 73 53 53 64 63 63 65 61 64 62 59 80 91 60 61 66 68 74 69 52 49 66 71 72 71 71 57 58 58 60 62 62 82 76 72 60 47 63 75 49 72 65 52 82 80 70 78 77 51 53 54 47 49 53 50 62 57 59 67 69 68 68 67 64 63 69 71 74 71 72 72 61 95 81 85 79 34 68 83 78 84 83 78 84 80 84 80 73 97 109 94 95 89 93 85 69 73 88 76 64 105 107 72 69 75 86 86 96 106 98 78 74 86 85 85 93 81 97 108 96 86 81 61 72 73 72 83 102 87 78 86 88 57 79 71 84 76 73 74 77 82 72 83 83 83 81 65 77 111 81 75 66 73 69 63 67 68 71 75 91 63 67 81 61 58 65 79 74 72 74 68 62 57 89 70 70 64 64 68 72 63 55 58 75 64 95 64 57 68 74 82 82 63 59 62 67 64 68
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61,73,67,75,75,73,82,72,67,59,74,62,72,89,59,55,62,70,55,69,59,61,70,71,72,44,59,62,64,59,81,75,77,71,46,55,72,73,72,63,67,67,60,54,86,67,51,58,74,68,67,67,78,69,65,66,78,70,66,70,65,67,80,66,69,82,81,85,83,78,57,60,65,76,77,72,74,68,70,68,66,66,73,72,69,52,43,56,96,67,73,47,39,87,65,49,53,56,92,88,70,66,74,62,57,62,62,61,72,70,64,65,67,71,60,68,67,71,75,63,63,66,69,71,65,57,77,84,77,86,66,34,49,67,52,70,75,92,58,48,55,65,69,98,85,85,80,62,70,86,96,100,108,105,106,86,56,48,69,75,79,92,99,65,67,76,83,83,85,81,86,81,92,91,88,86,84,54,85,69,71,71,73,72,72,76,83,76,63,64,64,78,80,84,72,83,72,71,72,75,66,68,72,70,83,56,67,91,82,47,72,70,73,48,54,61,58,86,88,54,55,63,44,53,87,94,96,77,75,71,66,63,71,83,38,64,52,68,56,53,56,51,50,66,73,78,70,55,61,58,67,75,67,60,59,60
75,73,51,72,77,75,78,68,66,69,74,62,68,65,64,94,83,94,59,59,61,59,67,62,75,76,64,43,49,62,60,60,66,88,79,64,49,61,70,69,60,63,68,69,72,68,65,60,54,77,81,69,77,87,66,63,58,49,48,67,94,97,54,45,88,101,99,92,90,89,64,76,71,71,60,52,62,67,69,69,71,72,65,79,65,72,68,48,62,57,78,81,69,68,47,63,85,69,54,58,71,84,84,72,80,75,56,70,73,63,69,66,70,68,67,61,65,72,72,70,64,68,65,66,67,65,61,58,61,80,84,82,81,66,63,68,88,59,63,68,73,78,76,65,71,61,79,87,73,34,53,72,73,78,80,77,75,94,101,87,53,71,75,84,100,91,60,65,69,68,82,81,79,72,76,88,92,96,69,94,63,68,73,91,93,84,73,74,78,87,80,71,75,81,77,79,71,73,68,70,72,67,87,75,64,113,49,45,59,73,73,71,67,67,63,47,40,47,48,57,86,37,54,62,63,54,55,51,48,65,85,74,65,68,71,62,56,57,52,55,57,54,53,54,64,52,65,70,71,62,37,55,65,64,69,88
59,57,63,72,66,58,64,66,70,71,67,69,61,65,69,63,47,61,57,47,53,53,61,69,81,87,87,83,83,73,49,75,71,65,64,64,84,71,73,79,53,59,65,68,65,69,71,69,65,57,58,61,61,57,85,91,64,51,50,65,58,45,54,80,55,50,47,50,48,51,59,50,83,62,58,53,57,61,53,52,61,68,69,66,66,66,73,75,54,61,58,61,78,75,70,65,46,82,78,70,60,59,54,71,65,79,80,58,47,70,69,71,71,67,67,68,71,70,65,68,71,67,64,69,66,66,61,67,70,67,64,62,68,71,72,67,23,63,72,69,78,76,76,75,76,80,74,73,82,98,84,68,51,45,48,47,56,79,80,89,99,105,60,68,77,75,98,98,94,82,60,78,79,82,82,80,82,74,102,86,82,67,57,70,71,73,85,90,74,80,76,76,79,66,74,80,73,73,74,73,70,68,66,71,72,68,65,98,88,46,79,64,71,64,66,68,64,65,71,77,64,71,77,76,48,62,71,67,66,63,62,52,65,91,72,56,64,63,63,59,57,59,55,61,73,49,77,59,67,54,64,93,69,70,50,50
59,56,57,66,71,72,57,70,56,61,60,71,62,67,70,71,72,66,81,68,67,68,48,36,56,47,87,84,92,80,78,65,55,54,45,58,63,64,75,79,78,73,77,61,46,52,71,73,69,63,62,57,61,68,57,48,53,63,53,52,52,54,53,45,60,62,59,58,59,66,61,63,58,44,64,65,73,67,74,68,67,65,61,56,63,66,67,59,55,53,58,57,55,55,80,79,79,55,51,61,92,63,64,55,53,70,80,65,67,74,69,90,76,88,85,67,56,54,64,47,61,66,67,60,62,63,63,71,66,66,67,70,68,82,103,100,87,80,37,65,80,81,83,75,77,74,77,81,77,70,70,101,96,93,88,82,84,68,58,59,89,80,90,100,86,65,75,83,80,91,99,100,79,68,76,79,93,80,107,58,74,92,77,78,73,74,76,73,72,79,80,76,80,82,40,78,73,76,73,72,75,89,72,70,79,75,76,70,66,67,73,78,69,67,66,69,65,67,63,75,69,61,59,59,83,48,45,66,71,68,64,65,71,58,57,89,80,74,66,65,61,66,67,62,38,46,64,77,56,81,52,59,66,75,61,64
62,56,51,63,69,74,74,85,68,73,78,67,64,59,58,64,68,65,61,64,63,62,77,96,76,90,37,56,62,64,77,88,86,66,73,75,76,58,54,55,58,61,73,86,76,78,59,48,55,56,57,59,53,59,52,54,59,51,60,66,52,46,46,58,53,48,80,82,55,59,68,65,54,73,61,60,62,58,60,58,57,65,70,67,83,81,62,57,52,60,62,69,62,60,53,50,51,84,78,72,43,56,87,59,59,62,57,61,71,78,67,66,63,62,68,76,72,65,73,68,74,43,51,53,58,64,65,63,61,62,69,65,74,71,64,62,77,80,81,82,49,43,56,72,83,80,82,84,81,73,81,70,77,75,73,86,76,84,89,83,62,83,81,84,92,114,104,74,60,56,71,83,96,105,94,77,49,58,72,70,67,68,80,81,78,81,60,76,75,73,72,95,82,70,70,72,81,57,77,72,55,37,48,72,75,80,80,73,67,71,71,62,65,77,87,78,74,66,66,72,75,65,60,59,54,57,66,85,54,59,69,63,62,63,71,58,48,57,63,76,74,73,60,64,70,81,91,82,49,50,64,65,57,55,59,74
71,74,66,63,73,84,70,68,68,70,65,67,68,82,76,56,52,43,53,44,51,47,42,57,62,67,85,66,36,42,61,57,50,58,76,74,70,83,78,76,65,59,43,50,49,69,84,91,88,66,67,62,52,61,64,57,60,55,51,49,52,73,59,51,58,62,56,53,67,56,65,66,75,66,58,62,56,56,63,59,64,62,59,56,41,56,79,91,84,75,69,42,61,71,71,60,60,58,58,73,68,58,40,58,86,74,70,66,58,57,72,78,73,86,86,76,66,58,71,70,69,73,72,82,64,48,54,60,61,74,66,72,76,71,75,75,84,78,71,71,73,79,87,71,41,34,43,66,78,69,73,80,76,77,86,85,79,88,82,80,82,59,74,67,71,81,90,78,92,105,90,67,63,78,89,104,112,75,86,62,76,77,73,70,85,76,74,72,56,57,73,70,73,83,78,73,73,79,91,96,74,75,81,91,61,65,79,73,65,73,78,69,69,68,59,53,52,77,77,75,70,56,72,63,57,57,57,60,69,80,65,52,65,68,67,65,57,62,66,63,64,60,57,64,81,81,70,71,73,71,73,69,63,59,61,55
69,78,66,61,45,54,61,63,65,58,69,67,66,64,61,71,76,72,68,71,75,74,75,66,73,53,42,65,70,71,47,55,61,59,56,56,72,87,93,90,79,73,81,83,84,54,42,40,47,53,78,85,79,72,56,65,60,59,62,61,60,60,50,62,60,55,65,54,61,70,43,56,71,58,63,60,60,62,58,63,61,64,57,59,50,61,64,42,70,58,72,80,75,78,39,53,68,66,64,60,76,59,68,69,39,44,54,93,72,54,63,61,60,54,44,48,59,83,81,70,65,71,72,62,68,65,74,52,73,69,73,77,81,77,81,76,72,80,98,76,75,76,77,83,78,80,83,90,56,91,68,60,75,86,80,82,81,81,80,82,79,84,86,90,91,66,38,50,64,75,86,87,106,92,55,57,68,83,89,89,57,69,76,76,67,74,85,86,76,74,71,57,62,69,66,76,81,81,72,73,71,69,72,68,80,83,80,52,68,73,72,74,71,73,66,76,66,69,59,72,82,60,62,105,105,67,58,58,70,63,67,67,80,65,44,52,66,65,68,67,63,64,66,64,66,55,60,53,65,98,98,83,66,64,68,67
72,45,43,59,65,78,91,66,59,69,81,47,64,64,63,66,63,66,60,61,64,65,64,73,55,71,64,61,60,58,67,79,91,77,55,51,55,73,56,56,71,70,94,105,99,74,76,73,57,37,47,55,63,56,88,98,76,55,63,67,57,55,60,55,59,68,61,56,66,74,82,87,88,75,70,51,52,58,61,65,58,60,61,58,59,50,65,80,68,69,69,65,63,65,65,70,46,56,64,68,70,69,56,55,58,76,90,43,35,39,68,64,85,50,59,55,69,66,64,77,73,95,86,84,64,66,65,74,79,57,63,70,72,86,79,78,82,80,77,80,86,96,92,98,95,83,78,73,84,90,80,99,101,103,107,109,99,93,84,79,82,82,82,85,79,79,79,82,88,75,60,55,79,86,104,102,77,80,80,83,94,87,67,57,75,80,81,72,80,100,87,91,83,70,47,68,73,77,77,83,94,88,99,90,75,71,70,78,67,57,70,75,69,70,71,70,70,68,68,66,66,62,124,90,12,60,71,72,67,63,65,61,64,58,66,77,70,65,56,62,68,64,63,62,66,63,62,58,65,62,58,44,75,89,89,70
73,79,79,58,68,51,59,75,69,72,57,77,67,64,66,65,65,66,88,85,70,67,69,60,64,54,58,62,59,64,60,66,59,60,47,63,78,62,60,68,63,59,59,60,56,56,72,76,86,73,76,74,57,49,52,56,61,85,82,69,52,57,66,66,61,53,54,79,78,80,67,78,76,76,73,68,65,62,51,50,64,65,60,64,66,75,52,84,65,70,63,70,61,62,67,62,56,66,77,74,77,70,52,68,67,56,43,60,82,96,79,50,63,66,72,64,62,60,41,71,67,81,65,64,59,73,91,92,84,81,86,75,78,46,76,71,78,76,80,77,84,71,81,79,75,63,97,103,105,57,54,72,79,72,74,75,76,70,74,84,99,88,107,87,88,82,79,78,76,85,82,89,83,70,51,96,101,92,66,54,66,75,79,82,88,68,71,74,75,68,67,101,94,77,76,77,58,56,68,84,71,69,65,66,74,88,79,75,71,84,89,53,54,53,63,71,68,74,72,75,73,70,65,54,66,75,68,68,74,67,62,58,63,58,57,62,61,60,71,64,58,67,64,67,64,58,80,61,63,65,64,68,67,65,55,50
55,60,97,89,87,71,74,70,67,56,48,68,62,68,66,60,60,70,35,59,83,97,96,87,82,93,80,70,61,61,69,58,61,63,63,59,60,68,41,62,70,64,67,71,72,67,53,64,68,70,71,64,86,94,94,80,55,54,61,63,76,89,83,62,56,55,52,53,46,76,75,68,71,73,71,69,62,65,67,71,68,59,49,56,65,60,60,58,65,61,63,59,61,57,61,66,62,69,69,65,49,58,56,57,75,70,70,47,59,60,64,99,93,62,51,61,69,82,64,95,48,60,65,67,73,67,63,65,68,98,87,80,72,77,58,51,58,43,54,61,69,71,72,67,69,67,83,77,72,77,80,104,97,75,69,79,83,81,84,84,85,84,82,79,79,99,102,99,84,81,79,82,84,83,88,81,63,83,87,80,72,60,74,73,77,65,89,76,59,73,76,70,74,65,70,87,82,77,83,86,82,83,63,69,74,74,64,63,76,87,78,78,68,66,69,68,55,72,75,75,76,73,72,71,75,68,63,71,87,93,76,65,59,54,56,63,64,58,62,70,70,72,74,71,53,37,71,67,61,63,67,65,68,64,66,66
53,61,63,60,60,80,77,77,81,73,75,65,78,56,62,79,82,76,84,38,44,53,57,58,51,54,48,64,74,78,81,81,75,63,63,56,74,101,114,115,98,80,52,76,70,66,80,69,70,71,75,67,70,67,61,59,67,86,81,63,57,71,69,63,59,83,84,84,86,86,76,72,78,62,66,68,66,60,57,61,52,52,55,66,66,62,43,68,58,59,62,67,62,62,63,62,63,72,69,63,60,71,77,64,79,69,66,73,80,63,45,57,53,80,96,75,61,29,66,70,67,107,67,67,73,71,77,76,78,75,70,90,75,75,81,73,74,77,76,73,77,81,79,67,73,69,62,50,67,81,78,80,72,74,78,82,80,85,85,83,98,86,76,75,85,80,77,86,95,96,90,82,82,81,77,84,71,39,65,94,83,86,85,79,62,49,76,75,89,77,53,72,75,72,67,70,59,84,92,91,90,71,76,73,70,57,70,76,70,73,72,81,71,78,67,56,76,80,71,60,67,73,73,70,66,67,63,69,76,54,92,72,62,71,64,67,62,66,66,68,63,68,68,65,69,64,71,77,71,48,45,60,63,56,70,52
74,71,50,55,63,58,53,56,55,78,68,64,55,37,62,58,60,73,68,87,85,68,50,57,68,68,56,82,53,58,55,56,56,61,78,74,64,35,48,53,53,69,106,96,47,69,68,62,58,69,76,72,69,74,74,73,71,67,60,56,93,97,72,56,47,49,53,58,61,65,65,59,58,54,62,78,78,75,61,59,54,52,46,56,53,55,63,63,70,68,60,56,64,61,62,64,64,67,67,67,67,70,74,70,64,49,76,69,72,66,70,47,70,69,68,74,78,96,59,39,61,72,85,112,98,59,71,81,76,76,81,65,79,100,88,80,74,74,76,72,74,74,74,80,79,74,74,86,86,77,70,59,56,63,74,73,81,79,83,85,88,85,85,107,77,91,81,81,87,83,83,81,101,82,88,84,71,78,77,55,49,62,101,108,108,102,98,88,82,71,82,86,95,58,74,71,72,69,70,72,71,67,79,92,90,79,79,77,60,72,72,72,73,65,67,76,72,64,63,57,61,58,57,65,73,67,69,79,56,65,54,66,87,82,78,72,68,69,65,70,67,69,71,68,65,64,65,71,70,71,77,82,87,52,61,58
62,58,63,78,70,51,70,65,75,68,87,93,84,77,46,63,62,63,64,60,48,61,54,76,67,48,78,58,60,61,59,59,62,64,57,63,84,79,52,59,68,65,64,58,64,88,71,69,74,74,58,50,57,67,75,71,76,64,74,76,74,64,58,62,71,85,90,88,68,68,57,57,60,62,67,63,62,71,77,60,57,62,69,61,59,55,61,63,56,69,74,72,74,69,57,51,59,61,66,77,74,73,72,73,73,65,66,88,74,87,70,66,69,51,68,75,65,60,70,106,80,65,48,68,70,84,74,81,74,79,77,77,77,76,74,83,91,102,99,98,93,98,107,93,78,93,83,94,99,82,77,79,80,84,85,77,52,48,60,65,65,62,64,79,87,82,87,79,73,83,83,83,85,109,96,89,73,75,64,82,80,95,70,37,59,73,69,69,82,96,90,80,80,74,95,71,63,73,80,73,79,70,72,65,86,38,72,74,78,83,81,59,69,64,69,61,54,60,72,84,72,63,63,64,49,51,62,76,69,65,63,62,65,57,56,52,93,81,70,70,63,65,71,74,74,66,66,70,65,67,70,65,68,72,73,43
62,61,62,61,64,72,75,64,72,71,76,43,42,78,63,73,70,44,64,56,71,59,63,61,61,67,55,55,61,63,65,61,64,61,60,65,53,62,83,83,48,60,69,66,67,64,53,62,83,103,92,72,71,67,64,65,46,52,58,68,69,71,69,58,66,67,68,65,56,58,63,73,106,86,61,47,57,66,67,64,67,71,85,97,100,97,76,64,65,68,67,72,71,72,79,57,56,61,53,57,48,59,67,65,71,70,77,70,69,48,75,76,72,79,77,50,65,69,70,64,65,77,101,85,42,59,74,79,77,80,79,73,75,72,74,72,76,75,75,78,78,77,82,85,80,79,72,77,82,84,93,97,90,74,81,75,77,75,83,80,85,88,93,73,72,88,84,84,115,83,95,70,75,75,71,76,79,92,90,79,78,73,77,86,96,52,85,62,65,61,58,76,105,88,78,79,77,84,80,58,65,73,87,88,66,78,70,70,63,63,80,96,98,89,70,49,67,67,69,63,48,65,98,75,68,67,62,24,62,75,81,68,65,60,65,66,54,43,67,71,64,73,71,49,40,87,73,66,69,67,70,65,68,63,72,73
62,65,60,61,64,61,65,71,73,70,68,35,36,70,61,57,61,70,66,63,59,61,58,61,56,55,64,66,53,68,60,60,63,61,62,58,60,58,55,54,59,89,51,53,56,54,48,48,45,42,44,61,86,84,64,67,56,70,73,74,87,79,75,56,61,53,67,69,71,68,60,62,58,54,77,75,83,76,63,53,68,80,54,61,56,58,51,69,77,105,94,94,101,86,83,64,52,51,48,51,55,56,61,61,66,63,48,69,54,65,64,79,91,87,66,73,76,51,62,71,71,78,76,66,86,94,66,69,80,81,76,74,74,73,75,79,80,70,77,77,72,81,81,78,82,84,77,81,81,87,79,76,76,74,77,76,73,84,87,96,100,95,86,83,89,86,83,87,62,74,80,89,82,98,69,87,55,84,74,91,88,78,80,74,72,81,75,79,89,100,95,51,44,67,63,67,78,76,73,71,76,82,91,77,66,52,74,70,62,69,69,70,71,60,81,73,63,48,69,63,62,59,51,47,54,91,65,73,74,51,75,73,67,62,58,60,96,90,54,61,89,71,67,57,63,40,72,67,67,66,71,71,65,64,69,73
61,54,54,56,62,53,69,62,58,63,64,67,76,52,52,50,66,56,65,57,58,55,56,61,58,62,58,58,76,69,56,59,62,61,65,66,63,63,61,61,74,60,65,70,75,73,64,65,71,65,73,69,58,46,37,43,79,84,63,63,76,87,86,63,68,99,114,112,85,48,51,40,74,62,81,63,65,56,62,74,85,72,77,55,37,48,63,65,64,51,64,57,52,62,105,92,87,67,67,51,52,63,70,68,75,76,70,67,64,74,72,59,58,46,53,77,77,71,54,61,69,69,71,77,76,73,79,96,96,46,73,80,76,71,72,74,71,72,74,74,71,77,77,79,81,78,81,82,87,79,73,78,76,79,79,80,83,74,78,78,79,82,76,90,104,98,85,83,92,87,63,68,84,81,90,34,88,80,72,65,72,78,75,74,76,75,74,76,75,72,65,96,96,98,97,81,52,75,74,70,69,70,71,73,75,85,83,59,51,72,72,70,74,71,68,59,71,71,79,55,45,38,63,58,61,56,51,68,90,67,65,58,53,62,64,63,69,53,60,60,54,60,98,104,102,81,67,63,67,67,69,74,66,66,68,65
68,77,71,69,60,75,59,53,49,62,63,61,73,64,62,64,57,56,66,73,100,66,66,57,39,60,58,61,52,51,96,67,52,57,62,62,64,60,67,75,63,63,62,67,66,66,64,65,61,64,65,64,64,68,70,64,66,55,57,76,86,60,56,68,69,62,35,47,42,48,53,83,49,115,59,63,60,62,66,60,67,73,84,84,79,82,82,53,42,61,75,69,70,69,62,61,57,68,65,54,81,72,70,79,80,67,74,75,35,44,60,90,72,78,66,66,70,74,75,78,77,49,71,47,78,78,79,78,78,93,108,54,59,70,73,72,75,76,72,75,78,77,74,76,80,85,81,85,84,84,77,77,82,87,86,79,82,84,86,85,84,83,84,86,82,85,80,92,95,101,77,99,70,58,86,109,67,78,73,71,76,87,87,95,82,74,77,87,93,107,74,71,56,75,71,82,96,90,88,82,75,72,68,64,73,75,68,71,76,85,48,65,77,79,79,74,70,54,64,75,69,75,85,53,43,60,62,60,51,53,64,52,48,57,73,62,64,41,53,60,60,56,58,53,55,90,81,65,66,72,70,70,65,69,74,67
71,72,70,76,65,56,69,70,86,67,66,72,71,70,76,75,65,59,57,57,54,74,63,98,120,82,53,60,60,47,49,60,67,54,67,62,62,69,54,56,64,69,62,68,73,74,65,61,62,62,64,68,61,64,67,64,62,63,53,63,61,72,102,71,62,59,67,49,53,58,55,51,50,57,53,81,91,68,69,73,53,62,58,58,60,62,80,80,88,83,72,52,55,60,71,65,70,61,70,60,50,84,103,105,95,78,66,68,78,83,82,70,73,70,71,67,65,71,69,67,78,77,77,84,66,73,77,76,83,83,81,88,104,63,70,76,83,82,78,73,74,76,81,76,78,79,81,79,83,81,81,83,80,83,82,79,84,78,88,83,81,82,83,89,83,84,82,80,88,77,83,105,88,77,63,58,84,82,83,80,83,80,81,77,69,85,90,67,60,75,74,72,77,74,74,75,70,68,74,58,70,95,85,70,72,64,61,62,69,72,63,82,66,76,57,63,66,69,67,61,56,69,95,80,74,83,68,40,36,46,47,41,96,88,72,68,77,71,87,70,37,56,62,58,60,55,41,57,84,73,72,68,73,64,71,44
51,52,64,67,66,64,68,66,64,65,62,56,65,62,75,69,67,64,63,61,67,62,73,90,52,77,61,65,62,59,36,35,68,69,62,55,64,56,63,67,61,75,80,54,53,55,91,53,61,65,66,62,60,66,64,63,65,66,72,59,65,60,56,56,95,85,65,56,45,50,57,54,52,55,57,51,52,44,51,63,52,64,64,64,69,71,63,55,53,73,81,75,77,71,80,61,43,47,61,60,59,56,53,45,55,51,88,82,73,69,71,71,70,67,69,71,75,74,94,80,78,74,74,76,76,81,64,50,44,65,75,83,85,85,92,93,71,54,71,74,80,77,75,78,78,72,87,96,87,79,79,75,77,81,81,76,83,81,80,88,89,85,83,89,85,87,83,84,86,90,90,84,85,107,76,78,86,75,89,85,48,49,71,81,83,82,68,86,84,58,76,77,70,71,69,76,74,75,68,70,71,70,60,61,53,65,78,68,71,75,67,62,75,69,83,66,73,67,63,67,67,68,60,66,60,96,92,75,58,56,56,67,54,27,35,48,57,85,62,93,94,88,75,40,54,58,70,64,60,50,67,77,72,70,68,69
47,54,56,65,58,63,66,71,67,65,68,55,64,71,55,71,80,72,60,56,70,70,60,60,53,61,58,75,71,76,74,80,81,60,68,71,53,64,65,66,65,65,63,61,58,63,53,75,69,56,58,62,69,65,65,65,62,66,64,67,63,69,66,61,59,54,57,97,105,74,39,53,55,60,55,52,58,56,58,63,66,69,64,65,67,67,65,65,59,65,68,80,88,94,106,79,67,66,77,75,42,40,50,59,64,68,63,62,64,73,96,97,96,82,76,70,78,68,77,76,93,74,80,79,80,76,77,80,84,75,42,50,64,78,77,80,84,93,96,103,70,57,75,78,75,89,84,81,77,91,80,77,76,83,81,83,77,79,82,87,84,84,81,86,83,87,85,90,84,88,90,78,95,78,70,97,81,78,67,70,78,84,87,94,84,66,52,86,61,76,94,67,64,71,75,72,82,75,71,68,75,76,76,69,67,75,72,76,67,63,64,68,72,83,67,68,72,71,62,69,69,70,77,66,56,61,61,52,72,93,94,79,64,64,73,76,92,72,40,32,34,101,85,71,72,77,51,64,66,59,60,52,71,61,57,60
64,68,56,55,53,55,74,78,70,63,56,56,64,74,82,74,72,64,65,65,62,86,67,58,39,45,60,84,88,77,74,74,85,83,74,68,69,67,61,69,66,70,64,65,59,57,60,57,66,83,69,53,60,65,65,65,68,63,62,65,61,66,67,67,66,64,62,57,50,64,99,79,39,46,57,57,56,56,62,75,63,64,65,71,58,55,66,73,63,60,58,57,63,55,48,49,54,82,77,71,66,73,75,79,71,71,48,34,47,66,68,69,64,65,81,108,83,83,63,81,64,76,75,77,79,79,78,88,74,78,81,80,84,87,83,86,44,57,76,77,80,101,109,104,92,90,44,52,72,88,77,77,82,77,81,82,75,77,80,82,79,83,85,85,80,85,84,91,94,92,86,97,67,97,101,83,69,80,85,99,105,97,89,80,74,78,85,63,83,72,81,96,95,96,56,60,82,80,78,71,75,74,75,70,76,77,72,62,73,84,79,68,57,65,66,71,70,69,66,66,68,69,72,71,88,54,64,71,65,57,61,56,52,50,77,80,79,89,82,75,76,42,36,41,67,64,62,72,47,51,69,64,59,85,95,83
63,57,51,52,55,55,59,71,61,64,59,69,76,72,74,67,61,56,58,68,81,48,58,55,67,67,64,66,44,60,73,68,68,42,64,84,61,66,60,60,72,71,67,65,62,65,64,62,57,87,83,75,63,53,71,71,61,64,66,75,61,61,64,67,67,64,68,65,68,60,58,51,75,89,64,46,59,59,56,66,59,55,60,62,65,70,96,88,55,55,68,65,57,62,59,62,63,55,70,73,83,89,97,85,69,60,71,70,75,75,33,41,74,78,71,68,81,102,78,35,91,77,77,76,78,82,77,79,76,78,85,83,88,78,78,80,83,86,62,58,69,72,77,73,77,81,98,108,110,78,58,65,77,78,77,82,85,80,86,88,86,84,89,83,84,77,91,87,82,88,88,108,105,52,62,88,73,81,74,69,69,69,69,81,75,75,74,72,76,69,81,59,76,74,105,104,59,63,78,77,79,75,76,76,73,79,72,77,73,70,84,92,68,78,70,50,57,63,70,69,75,77,76,71,80,77,61,59,68,72,66,69,69,62,57,48,61,53,59,60,67,57,63,88,69,53,61,59,56,77,51,60,63,64,52,67
77,93,74,80,82,71,71,80,84,72,92,50,61,74,72,67,59,59,53,71,64,76,67,68,69,60,64,64,54,59,79,72,73,73,56,46,43,60,62,68,56,70,66,61,68,65,64,60,60,51,68,64,66,75,65,50,53,77,75,56,61,61,68,67,68,67,67,70,64,65,67,65,61,59,65,91,76,48,57,57,62,60,60,64,65,71,55,53,66,91,72,38,39,58,62,62,68,67,63,62,61,59,63,55,52,71,79,97,104,88,89,82,66,39,57,66,70,70,83,100,103,93,85,81,85,76,79,80,83,79,92,86,97,98,94,101,94,106,85,87,78,77,72,79,73,78,81,79,76,77,86,104,90,67,61,71,87,86,84,80,84,86,81,84,86,85,79,89,87,88,81,78,101,89,72,76,74,85,74,79,75,78,72,110,77,96,91,73,72,75,79,85,85,65,70,70,78,90,90,58,78,84,75,74,79,82,76,74,73,70,70,55,66,69,65,59,78,67,45,50,59,77,74,71,80,74,77,78,61,71,66,67,70,62,68,61,63,59,61,59,47,48,57,80,71,64,63,70,75,57,69,57,66,63,60,62
51,57,62,59,56,59,66,61,73,100,62,67,56,63,75,62,58,65,65,41,70,65,68,70,61,61,61,59,70,64,64,73,94,66,62,52,48,80,64,59,87,72,44,68,64,70,63,97,111,87,67,63,63,62,67,73,79,50,57,59,59,64,61,64,67,67,71,67,66,64,64,62,65,64,67,66,64,81,65,33,61,66,58,59,65,67,64,56,70,65,71,66,70,85,91,80,60,31,46,63,65,67,72,73,74,68,63,70,67,65,79,78,99,103,101,89,72,42,63,74,77,74,80,99,96,84,82,80,84,82,82,58,68,83,85,82,85,77,99,99,91,98,64,77,76,75,75,77,79,77,79,79,78,81,96,113,98,67,55,81,92,87,84,84,96,83,87,89,85,88,78,82,76,69,100,72,77,77,84,78,81,81,75,69,81,74,73,88,70,74,76,76,83,84,91,74,78,78,72,93,104,58,78,78,86,76,80,79,74,73,76,73,78,68,62,66,63,60,59,62,63,86,67,66,73,63,66,59,72,45,61,66,66,56,76,57,57,69,109,64,62,54,53,48,49,80,60,60,55,92,86,82,76,49,52,62
71,65,68,70,72,65,71,71,64,59,68,66,69,66,65,72,59,62,66,77,65,68,63,66,63,61,63,59,64,67,61,78,65,65,64,70,74,69,59,85,80,73,78,69,47,41,54,64,51,61,69,65,59,61,65,62,63,73,44,61,65,63,67,62,63,65,71,65,68,67,67,68,67,70,64,69,67,65,66,84,83,62,68,60,65,59,74,45,73,63,64,67,86,84,88,71,66,74,71,77,51,33,33,39,51,61,75,79,76,69,89,77,82,75,77,84,97,103,100,72,49,58,78,76,78,77,100,99,86,82,73,98,80,79,75,82,89,83,78,76,72,76,102,75,56,66,75,73,82,87,86,88,87,84,82,86,76,81,101,105,93,75,92,92,91,94,86,81,87,86,89,87,100,78,68,76,83,83,81,77,74,86,83,73,79,77,72,81,87,76,76,78,74,78,78,47,42,66,75,77,72,97,116,65,55,57,55,74,77,82,74,65,81,62,66,63,61,63,61,77,92,78,75,74,71,61,65,61,65,68,84,79,40,93,55,59,57,56,56,69,58,53,54,58,54,47,60,80,62,35,60,48,89,79,76,73
71,71,72,69,70,70,64,67,67,69,67,69,69,65,60,70,64,63,71,61,67,62,61,58,68,64,62,65,50,66,56,77,67,68,67,68,62,63,66,50,64,71,57,70,76,75,81,54,63,56,74,65,62,60,60,62,66,69,74,55,49,62,66,69,68,66,64,65,70,68,68,68,59,67,70,65,66,66,65,67,80,64,69,57,74,63,68,54,68,69,62,70,60,67,60,61,97,77,64,71,80,86,111,96,96,88,89,89,65,54,51,72,83,73,77,75,73,82,75,82,107,100,95,83,58,57,64,71,91,98,90,52,81,82,88,75,85,85,83,80,84,77,74,85,94,109,106,97,80,60,49,48,50,54,61,66,62,57,66,79,80,95,81,94,67,83,80,95,82,90,82,123,95,104,87,84,86,79,80,77,71,93,82,81,73,76,79,77,69,91,96,83,71,75,70,80,79,76,55,61,77,76,74,72,70,97,95,102,58,45,85,68,69,72,70,71,72,67,74,36,58,50,78,73,68,61,65,67,66,62,60,65,76,73,64,42,54,58,59,68,61,55,58,59,57,52,55,46,83,80,40,62,55,54,49,79
69,70,67,68,69,71,72,65,67,69,69,66,71,68,64,63,84,73,68,63,64,66,61,61,70,76,72,61,73,86,87,74,71,69,70,59,59,60,61,58,70,63,64,57,67,69,67,77,74,78,68,67,66,63,56,64,67,64,64,67,81,89,89,86,53,62,71,70,63,71,58,50,64,69,67,60,47,65,69,59,70,70,75,70,58,62,63,74,65,71,70,76,58,66,71,69,61,48,83,93,80,29,49,61,70,85,89,94,91,81,89,87,66,39,52,81,70,82,79,79,78,79,75,83,94,100,100,89,77,72,79,98,72,58,75,87,84,75,82,88,83,87,86,85,85,80,78,83,89,80,88,95,101,103,107,101,87,90,86,65,51,54,58,79,108,113,88,65,62,81,93,93,59,106,62,85,84,85,81,87,82,85,73,84,69,76,70,79,78,79,74,76,95,79,75,74,74,72,85,93,83,63,72,75,76,76,73,71,69,63,63,61,60,57,46,51,49,59,72,94,56,80,67,96,81,79,69,74,82,82,65,65,67,73,66,72,105,88,85,82,54,54,65,61,59,59,53,52,56,46,89,96,71,55,43,58
69,71,71,69,73,73,75,68,73,70,71,68,75,69,66,62,59,66,86,74,67,64,61,64,59,62,63,84,86,58,68,68,65,66,69,66,60,60,62,62,66,69,64,53,62,70,66,80,72,65,63,63,58,57,50,54,89,89,67,73,76,72,60,63,67,48,63,72,92,91,78,77,89,75,42,96,87,92,48,58,82,70,60,66,67,65,63,57,64,42,71,53,48,69,72,72,73,75,66,59,76,99,87,65,74,82,76,72,75,79,101,102,97,86,86,93,72,73,76,80,84,85,80,75,75,81,82,90,96,102,85,77,65,72,87,83,60,75,78,85,81,85,89,82,84,84,89,86,79,83,84,82,83,84,84,83,80,85,94,95,107,93,90,62,79,75,90,70,56,100,78,67,46,80,86,60,47,45,54,60,64,74,65,61,77,80,79,77,88,78,80,80,78,72,78,73,73,78,76,78,80,94,97,61,60,71,73,79,79,78,76,76,73,75,70,73,69,66,58,50,66,74,88,50,64,65,60,61,69,67,59,57,53,52,66,76,65,62,67,60,56,76,80,43,42,46,60,59,61,64,64,83,87,75,71,73
69,72,76,75,70,69,70,67,70,73,76,74,72,72,70,61,57,53,47,64,84,73,66,69,72,56,64,51,59,66,74,73,78,77,75,64,61,61,64,69,65,68,66,64,62,70,95,53,55,72,66,67,57,50,50,52,37,44,62,62,70,65,63,72,75,77,90,82,62,58,61,61,59,62,60,61,72,45,66,64,65,56,61,70,68,46,45,73,88,73,67,61,67,78,63,50,54,68,74,77,75,69,87,87,46,73,84,70,79,81,80,81,81,86,92,98,80,79,73,77,74,83,86,90,84,84,82,83,82,85,88,90,97,87,84,76,85,104,101,66,77,83,90,86,89,94,91,104,83,84,87,84,83,87,85,85,83,84,80,86,77,91,99,100,101,111,91,68,53,71,74,68,76,99,89,105,99,72,85,87,93,107,99,95,98,89,85,46,57,71,77,72,73,84,70,75,88,76,71,74,80,79,83,79,83,91,78,53,70,73,82,84,73,77,67,72,72,64,78,55,76,75,67,60,66,67,63,63,64,63,65,59,63,63,59,56,55,59,69,57,53,61,61,60,39,59,62,68,65,67,70,64,58,95,70,57
59,78,57,65,71,72,70,67,69,68,69,70,73,71,68,75,53,57,57,55,52,56,74,71,55,66,63,31,30,87,64,61,67,63,64,72,75,72,69,77,73,78,73,82,87,53,65,69,77,67,80,63,58,64,52,55,60,64,63,61,63,69,80,70,67,61,73,79,73,64,66,65,57,61,60,58,63,65,50,52,50,62,63,57,64,70,62,69,49,78,62,62,70,78,89,95,90,90,62,48,74,82,75,95,93,71,67,82,82,87,81,84,80,84,85,82,95,102,86,82,83,64,64,97,84,81,86,84,82,84,88,87,87,92,93,99,86,61,79,85,111,87,65,64,63,71,70,99,84,87,87,89,89,86,87,87,94,86,92,88,96,85,77,94,77,97,94,55,97,115,110,99,100,86,85,89,85,71,76,74,75,75,66,49,74,70,84,78,78,88,62,74,76,75,80,93,77,75,91,80,72,76,82,78,86,77,80,80,101,93,86,68,57,41,29,36,44,51,59,76,75,88,62,79,67,66,68,61,67,64,65,64,67,63,49,52,54,58,52,52,55,59,50,62,70,47,52,64,68,127,70,67,67,63,34,56
68,64,62,73,72,72,69,78,73,64,67,69,75,65,84,71,59,55,57,57,60,63,45,59,55,50,51,59,58,70,72,72,68,69,72,66,63,65,84,70,50,86,80,78,64,74,58,56,67,58,55,66,58,56,61,63,64,63,67,79,49,50,62,68,85,75,62,61,62,64,63,79,76,66,89,79,53,58,65,57,54,58,56,68,66,71,63,68,55,83,59,71,91,54,86,81,94,89,92,80,51,78,72,77,89,82,82,57,82,84,83,81,90,81,84,83,82,73,80,84,98,92,91,88,59,56,69,76,77,83,85,83,84,87,82,83,96,102,85,61,67,82,91,105,94,102,93,79,83,90,90,90,85,94,86,91,88,85,93,95,89,90,95,83,88,86,85,86,105,99,86,50,64,69,75,65,109,86,92,84,84,89,100,117,90,97,97,91,87,80,79,92,75,64,71,76,77,74,71,72,81,79,78,73,77,80,78,74,81,82,71,72,72,72,70,75,79,76,89,65,64,26,58,67,69,69,65,62,65,64,64,66,65,65,53,59,60,56,50,50,64,64,70,70,66,57,71,63,49,65,67,67,71,119,106,92
71,68,62,69,72,72,72,72,67,71,74,63,64,80,65,67,74,67,53,59,63,54,80,66,55,51,52,50,55,62,68,66,69,73,69,71,82,56,50,56,55,52,45,47,55,67,98,78,64,71,65,51,54,54,55,50,68,77,68,45,72,90,75,64,60,69,78,75,66,68,66,62,62,67,61,50,91,96,74,85,74,77,74,75,95,68,68,77,52,84,84,62,67,43,85,74,73,83,89,86,86,86,84,79,78,70,82,83,55,37,54,71,87,84,83,83,83,83,83,80,77,79,72,88,93,85,85,86,75,60,57,66,77,88,88,87,88,84,91,98,95,81,68,69,60,79,89,105,97,73,64,71,79,96,97,87,88,93,91,92,86,103,95,90,88,93,87,83,79,105,80,85,87,80,78,82,75,81,75,93,81,79,69,79,81,81,71,69,71,80,88,77,81,88,102,75,63,72,84,80,76,77,96,83,75,74,70,79,80,79,80,78,74,65,69,35,60,92,91,84,84,82,70,78,71,67,45,46,56,63,65,67,64,63,57,64,60,58,50,60,55,55,61,45,66,61,70,61,69,66,39,45,63,64,54,56
73,65,63,67,73,71,62,73,46,63,62,62,63,62,61,61,64,72,70,77,89,80,63,56,63,61,54,56,54,60,57,62,67,63,66,69,67,57,55,55,57,54,53,65,60,61,45,51,76,73,56,66,57,58,61,58,66,60,64,87,74,49,64,64,63,66,65,69,80,75,68,67,65,64,69,74,52,52,62,56,51,47,98,67,51,73,68,72,43,115,54,78,55,26,80,77,68,66,71,85,63,86,87,84,72,62,77,68,78,82,107,83,84,90,81,87,81,85,79,86,80,79,84,83,83,82,90,101,113,106,93,78,87,76,67,54,59,68,82,88,84,83,91,108,87,88,82,51,59,54,56,97,97,66,72,76,87,96,84,89,79,82,91,76,92,90,98,84,92,84,71,71,103,90,78,78,77,77,83,83,78,84,82,80,83,81,81,78,75,81,77,76,94,78,83,85,85,90,59,73,80,79,77,70,85,77,73,91,72,85,64,46,74,68,69,47,66,59,47,70,63,60,58,56,65,67,81,91,84,76,74,52,47,59,61,68,63,53,56,59,53,44,46,69,79,72,92,61,59,57,71,70,40,67,66,74
60,62,65,60,67,73,83,66,64,58,66,63,66,69,63,61,64,63,61,63,64,57,66,59,64,64,56,50,48,58,52,52,53,58,68,70,42,49,70,42,53,56,56,59,56,47,62,56,50,63,76,77,62,59,63,59,58,61,61,59,73,95,50,65,64,70,69,71,67,63,85,69,62,69,65,66,67,67,59,57,64,66,62,59,55,81,66,70,35,76,36,71,58,47,40,67,57,76,72,53,76,71,62,74,69,77,64,74,60,58,27,47,53,39,50,83,92,91,83,83,80,86,79,84,76,81,85,83,84,82,88,101,103,98,83,79,86,83,72,54,77,75,79,84,83,89,98,104,106,88,42,62,62,63,60,109,89,102,94,88,112,108,101,62,77,67,76,74,86,100,99,82,77,75,73,84,84,76,84,78,80,84,86,82,82,78,76,91,81,81,86,81,80,78,99,93,50,90,96,91,82,70,73,71,73,69,76,97,45,81,76,80,75,77,71,78,38,83,66,47,71,68,63,59,62,70,74,50,50,46,38,83,87,79,72,72,58,46,38,50,58,76,59,49,48,72,60,62,57,60,63,61,71,52,38,64
64,69,61,58,69,66,71,61,75,59,53,77,67,61,66,67,64,66,63,62,61,65,64,65,64,67,66,62,62,68,65,55,60,62,59,58,61,62,56,61,63,76,73,52,63,67,58,55,59,56,57,53,58,72,62,63,61,61,57,62,62,55,78,93,73,50,54,61,70,69,66,66,68,66,67,67,67,58,63,54,64,60,59,62,59,46,83,71,66,60,70,72,56,63,85,60,74,105,22,50,65,69,76,91,89,90,92,64,66,73,79,92,85,71,86,32,40,50,65,87,83,81,84,92,87,86,87,89,86,87,89,88,83,82,84,79,95,99,88,81,82,84,58,57,66,73,69,76,79,90,102,96,89,62,66,64,44,49,59,57,81,82,93,79,102,99,96,117,90,107,108,59,87,90,80,82,74,76,61,68,74,71,65,59,60,63,67,78,74,82,79,83,87,80,73,69,87,106,41,77,77,87,88,51,53,69,71,74,90,76,66,69,76,78,70,67,72,75,73,76,77,73,68,68,61,57,74,64,66,65,69,66,61,46,43,49,90,109,105,78,79,79,65,67,70,46,52,63,61,61,60,61,63,66,64,56
66,69,53,50,70,70,71,70,62,58,53,65,65,64,66,67,88,75,60,62,61,66,83,69,84,36,53,41,49,47,49,68,66,69,61,57,66,68,57,63,59,67,64,66,43,50,62,61,57,54,55,55,56,52,58,80,85,48,62,67,60,80,62,66,65,57,75,74,73,53,59,77,66,66,66,68,68,57,52,55,49,56,53,52,50,56,43,76,69,67,64,95,78,60,53,50,53,31,65,41,62,38,53,46,71,81,76,85,68,87,81,78,69,77,79,82,87,83,66,69,55,58,62,75,83,87,89,83,86,88,90,84,87,81,85,77,78,78,88,93,81,78,76,83,76,93,86,64,46,83,76,87,92,74,91,99,103,106,92,79,87,86,82,104,58,52,53,59,74,32,44,89,104,94,80,49,69,100,84,96,89,88,93,87,85,77,86,75,78,58,64,68,77,77,84,86,81,68,72,73,103,91,75,85,81,90,94,47,44,76,71,73,72,71,74,68,63,67,76,57,73,73,74,60,65,63,70,59,68,65,71,71,72,67,69,69,67,58,46,75,98,96,104,105,99,72,57,53,56,65,68,67,61,61,61,65
75,82,70,76,80,85,82,70,53,52,52,61,73,63,66,63,32,65,57,53,49,67,41,48,61,78,82,63,60,46,46,67,47,60,103,77,77,70,68,63,72,70,63,73,61,62,59,63,50,50,55,59,54,56,66,64,58,82,68,67,84,64,58,60,61,65,68,66,73,65,75,69,65,67,66,67,66,63,64,81,63,42,51,51,52,54,56,43,64,61,81,39,61,61,93,68,32,75,58,59,59,68,51,56,70,61,64,61,89,71,62,81,67,88,75,80,84,83,88,83,101,102,83,87,55,67,90,94,91,90,88,93,87,85,81,79,86,85,90,82,108,107,105,83,96,83,74,78,87,89,91,89,72,64,88,80,60,81,69,56,89,55,43,72,83,96,96,94,110,99,101,63,87,82,60,76,85,69,82,61,78,91,98,79,84,86,78,82,81,76,89,88,89,70,65,81,82,79,73,75,76,71,70,81,98,98,100,104,86,74,84,67,74,83,68,66,66,68,70,82,70,76,73,65,73,68,63,63,68,69,66,70,67,70,69,71,67,69,69,63,55,55,60,58,47,77,55,73,79,59,78,89,71,60,61,61
52,57,104,25,58,58,53,57,64,68,65,57,62,51,56,53,97,48,66,56,51,58,78,81,62,59,58,61,74,66,69,71,70,68,50,49,70,72,70,63,69,74,81,80,75,71,69,68,72,57,63,59,55,53,82,36,55,58,73,62,59,55,58,63,62,59,62,60,71,66,65,69,63,61,66,67,70,68,68,66,79,78,53,29,32,32,26,85,63,58,72,52,61,49,47,93,78,31,40,47,69,64,75,62,58,58,88,37,51,53,54,77,71,97,94,93,84,82,88,67,92,104,98,82,90,92,37,53,69,90,90,81,72,73,85,86,88,93,96,89,89,84,88,87,78,79,76,96,84,87,80,89,95,92,67,67,79,124,119,118,112,122,81,97,121,121,129,87,40,53,80,81,84,80,66,81,70,84,83,96,95,81,66,58,61,74,74,78,83,93,92,85,87,82,86,90,84,71,56,68,63,71,71,71,70,73,63,64,70,76,74,78,80,59,75,68,65,69,73,76,67,51,54,58,61,65,66,62,67,66,69,62,64,72,71,69,76,67,78,70,67,61,63,75,71,92,73,45,66,72,69,42,64,63,62,57
77,56,52,67,72,53,51,60,63,61,76,72,54,54,53,53,54,54,61,65,76,43,67,71,65,66,73,72,80,57,56,56,54,51,63,68,68,74,69,74,67,71,44,44,48,60,78,83,90,77,64,72,63,65,66,64,55,43,70,68,65,67,57,47,53,77,65,67,69,68,60,62,63,59,64,58,58,69,72,71,38,45,65,64,61,64,67,59,55,55,68,56,67,70,62,48,80,88,80,76,49,42,37,72,67,55,56,66,62,61,53,51,40,46,78,89,85,85,88,76,76,88,47,89,79,71,86,89,67,80,85,78,113,84,55,45,50,50,68,77,86,94,85,110,96,79,80,84,87,86,89,72,72,90,93,79,95,61,69,75,82,101,103,96,63,76,72,90,91,114,69,43,44,64,95,65,72,68,56,70,76,72,75,89,98,97,118,119,93,79,77,86,83,77,70,93,79,83,80,78,80,91,112,82,56,48,53,60,54,77,71,73,78,76,58,55,68,69,70,77,73,80,82,67,85,64,65,74,60,66,66,64,65,65,70,69,65,68,78,68,78,71,72,69,68,68,66,40,103,82,81,58,83,65,64,61
66,69,65,59,60,56,62,62,74,74,52,46,68,62,62,62,56,72,52,73,53,63,68,76,71,71,53,60,60,77,93,86,76,54,74,71,73,68,55,65,61,77,34,40,55,58,59,60,50,50,60,66,67,68,66,65,67,69,66,67,68,65,67,66,68,67,63,65,36,56,61,55,61,60,60,58,72,71,71,71,70,62,56,62,61,64,63,61,58,61,65,71,55,35,54,57,56,43,48,44,52,60,51,81,88,109,49,53,51,45,83,75,37,48,48,33,49,69,89,89,89,61,70,93,94,85,89,95,91,53,107,89,86,76,77,88,100,101,94,85,85,74,103,48,71,83,85,88,92,80,90,86,72,74,66,97,91,93,86,106,91,94,99,50,103,76,67,95,65,41,60,87,130,106,65,92,78,92,114,117,64,55,59,52,103,57,38,55,59,64,89,41,69,46,79,41,68,69,85,106,79,67,63,69,66,100,92,96,87,83,73,62,69,108,67,64,70,78,75,71,62,82,74,78,77,97,94,53,66,70,67,67,61,38,43,37,73,75,40,67,46,59,66,72,63,71,67,92,62,53,55,60,65,53,57,64
69,76,65,63,62,53,66,69,72,57,57,55,63,66,66,67,97,41,53,53,63,64,64,61,56,58,62,62,61,57,54,55,51,44,50,72,67,69,58,62,68,47,71,68,44,46,41,67,69,89,75,71,62,62,64,64,58,65,64,63,65,69,62,66,64,66,66,63,50,109,67,54,59,58,59,58,62,66,64,59,60,66,65,80,80,74,73,66,61,61,64,64,66,78,44,39,62,57,46,58,56,59,55,57,55,40,61,60,49,68,62,28,56,67,66,53,54,50,43,49,67,87,77,50,98,86,65,76,77,69,77,76,92,86,94,75,81,77,72,87,115,84,32,82,90,92,86,80,93,93,56,43,110,92,94,96,107,48,43,25,48,42,27,48,23,80,112,37,87,84,73,85,69,75,73,102,96,51,45,54,88,103,105,107,126,113,98,104,118,90,108,110,106,88,85,76,79,75,55,71,51,74,71,93,71,59,57,68,73,80,78,73,80,65,68,65,67,68,74,81,42,54,63,56,46,51,88,70,61,32,53,85,76,76,73,66,76,91,85,71,72,76,76,55,21,72,68,73,68,64,96,87,83,81,72,75
62,59,57,69,65,73,44,55,59,71,66,53,63,69,61,52,48,58,59,62,59,60,62,62,63,54,60,61,59,57,62,62,58,60,59,82,70,68,63,65,66,71,82,62,79,66,66,70,66,67,57,68,67,66,68,69,66,67,67,70,69,63,63,64,63,62,67,74,77,38,65,51,60,58,56,69,65,76,72,91,69,84,49,44,43,43,46,68,92,101,84,69,68,60,68,64,65,60,55,56,53,58,59,67,65,46,60,54,56,63,36,70,56,54,62,64,71,50,60,33,89,59,70,73,72,77,88,67,85,69,82,91,91,75,56,84,81,78,54,70,83,85,72,73,93,86,88,89,88,94,94,76,87,73,99,67,51,99,103,74,84,73,102,78,76,100,76,45,62,72,71,78,77,74,92,80,74,68,85,90,95,42,59,76,83,92,81,73,71,71,71,81,72,90,86,97,93,76,87,83,72,81,70,91,78,86,102,92,71,80,26,60,61,81,98,90,67,85,84,75,83,79,81,78,93,79,74,69,68,65,63,62,60,66,72,72,72,78,66,80,69,65,74,62,67,69,76,66,61,60,19,35,45,75,57,64
62,69,60,65,63,58,71,68,64,54,73,65,64,81,91,59,67,66,63,42,62,64,60,58,60,60,61,62,65,61,62,60,60,60,61,69,69,68,64,67,49,58,83,84,74,69,68,75,94,93,73,70,66,66,60,57,70,64,70,67,73,97,86,88,86,71,71,59,51,84,56,61,62,57,57,52,48,67,64,45,54,57,59,56,50,58,60,60,61,56,95,91,70,57,58,20,38,50,52,59,52,63,55,57,65,70,59,61,60,63,71,79,75,60,63,86,36,73,59,52,63,50,63,50,56,50,55,74,51,73,66,88,90,97,87,72,82,98,80,84,100,84,92,79,85,91,94,65,86,83,88,74,111,64,62,93,96,61,118,80,85,76,98,90,40,72,64,108,81,54,64,68,35,56,70,97,100,107,77,72,67,72,80,53,83,58,48,59,76,68,68,64,49,61,58,52,62,70,71,70,51,97,63,55,64,66,66,69,68,101,91,99,79,41,62,64,70,91,84,81,73,74,79,68,67,72,37,65,87,109,95,79,76,70,77,77,80,72,73,80,77,79,66,75,66,62,68,58,60,64,75,79,81,66,64,67
62,47,79,65,62,58,61,58,59,62,60,75,73,46,52,97,44,57,75,71,48,35,48,59,62,56,61,62,61,63,61,62,63,57,58,55,73,73,78,54,67,65,64,57,59,78,91,64,60,61,68,102,101,95,74,80,71,77,68,57,44,56,56,58,59,75,74,60,58,57,61,61,63,57,64,67,80,71,69,60,61,64,55,61,55,56,57,59,67,68,64,42,68,93,87,71,60,64,44,53,51,62,57,60,52,69,59,60,58,57,44,70,51,69,50,64,71,63,45,26,60,27,78,78,53,71,39,22,48,52,65,76,89,77,73,84,72,53,61,100,76,84,96,98,98,74,92,104,103,69,97,58,74,66,114,100,21,86,75,61,44,83,100,57,113,96,63,83,53,91,74,42,114,96,57,85,78,43,71,78,87,86,80,77,88,73,75,87,102,118,137,116,112,109,105,103,108,97,83,108,118,108,106,99,59,73,49,62,77,70,67,96,87,78,74,74,33,53,57,60,72,102,95,85,75,68,70,78,35,43,55,56,44,85,81,119,116,113,88,66,85,79,65,73,62,58,64,55,54,54,66,60,70,66,94,46
62,63,68,61,54,50,59,62,63,65,62,65,74,68,54,49,50,73,76,54,61,63,68,56,51,56,59,60,62,60,62,58,64,57,56,58,78,76,70,68,68,69,67,68,68,63,64,64,69,67,70,60,56,56,76,102,86,73,73,75,73,50,62,64,63,56,59,58,57,58,70,63,58,56,60,66,69,69,79,95,80,64,58,63,69,59,60,56,64,65,61,64,77,59,55,86,64,63,56,38,57,60,61,59,62,59,59,62,53,53,72,66,60,61,53,66,41,55,94,81,70,57,53,30,31,66,44,59,64,57,53,51,44,60,70,57,72,75,95,84,89,93,89,80,85,74,75,62,34,55,58,55,76,89,89,70,68,111,55,92,101,97,86,93,80,68,97,93,31,68,87,91,74,96,65,54,86,58,72,69,68,80,78,78,76,79,83,75,83,53,50,55,63,77,71,75,73,78,73,71,80,72,73,66,67,96,92,74,84,94,57,48,62,73,88,119,93,88,77,37,50,59,55,58,63,78,85,75,84,93,99,65,57,40,34,49,65,53,64,84,103,85,74,99,110,88,67,65,65,64,64,65,71,48,35,27
62,68,65,62,68,72,69,70,72,69,68,63,72,68,70,75,70,76,96,90,70,63,66,69,71,38,52,59,62,62,58,61,60,58,60,52,80,78,56,72,68,69,68,68,71,73,69,66,72,70,73,72,66,65,62,55,50,78,80,82,74,74,82,54,56,56,66,77,61,52,89,87,67,67,71,79,71,69,49,35,54,63,61,58,64,53,64,62,59,66,73,76,71,62,66,58,80,70,53,65,35,36,48,57,54,68,56,59,59,58,53,55,54,52,58,55,64,50,19,68,47,59,48,61,57,65,63,59,57,56,57,43,73,15,57,34,52,97,33,91,84,95,77,84,87,99,80,112,70,111,62,110,44,102,111,112,115,81,95,86,98,64,81,89,101,90,80,81,70,67,87,72,62,90,87,83,74,74,82,72,73,79,80,72,72,81,77,79,70,79,86,90,98,76,69,69,58,59,63,63,81,80,78,75,80,79,68,67,101,93,89,99,91,53,63,54,61,103,112,104,94,98,96,60,51,65,57,73,91,43,34,63,72,68,98,100,87,41,56,60,50,59,62,61,63,50,57,114,133,81,95,83,69,66,76,63
72,75,84,73,68,65,67,70,74,72,70,104,76,65,73,74,91,53,55,53,57,61,73,81,65,75,69,49,42,55,63,67,59,60,61,56,67,69,64,70,69,70,69,72,71,72,69,75,72,70,69,68,69,68,62,65,64,58,43,48,45,47,76,73,77,60,46,55,62,65,60,55,66,67,68,65,75,71,74,69,72,72,69,59,75,58,61,62,61,75,74,69,70,73,64,68,69,55,83,82,59,59,70,83,49,46,74,59,58,60,59,54,62,56,59,50,47,52,89,92,77,95,70,70,69,67,68,55,18,32,60,45,47,59,17,69,75,29,50,54,75,86,74,97,79,79,104,53,90,18,80,68,94,106,94,101,85,81,114,85,81,89,76,83,85,93,85,83,71,86,80,84,68,81,60,89,81,74,67,74,76,89,100,93,79,88,81,82,85,76,81,81,77,80,86,87,80,83,77,79,80,61,75,82,79,81,85,72,77,72,71,71,59,96,74,41,70,70,64,71,67,65,97,87,77,78,74,50,73,73,81,98,66,46,37,41,38,65,109,82,45,59,59,63,66,76,62,44,46,56,75,67,67,67,64,58
58,58,56,53,61,83,75,69,70,83,85,58,48,48,88,80,62,61,56,53,63,61,62,60,57,66,63,64,57,65,71,69,65,40,42,42,47,72,78,49,66,67,71,72,67,67,68,68,68,70,68,66,67,65,70,68,69,69,64,65,62,58,81,77,78,79,49,67,69,71,70,65,54,82,68,50,60,71,72,68,68,67,63,68,62,52,46,66,77,75,70,71,66,67,61,61,62,66,52,47,85,67,57,58,51,58,61,63,42,51,60,59,50,54,53,59,59,43,62,75,42,40,20,44,49,46,56,47,46,53,71,43,46,46,48,20,35,59,26,17,52,76,68,85,98,76,59,72,89,70,104,71,62,37,28,83,106,81,75,98,96,91,73,101,26,94,82,99,96,68,83,91,93,80,81,84,83,92,62,94,118,69,70,73,68,80,89,101,106,97,79,81,82,77,77,77,69,73,72,78,79,78,89,69,78,79,76,82,66,75,71,79,86,72,63,75,75,77,77,71,72,69,68,59,104,90,91,97,104,100,81,72,25,62,98,63,63,52,51,41,55,106,112,97,95,100,123,74,51,42,68,85,65,97,61,86
56,62,64,67,57,59,71,77,66,53,54,89,81,72,59,50,42,50,59,86,61,42,67,68,83,66,60,59,58,53,57,68,59,63,69,61,68,60,62,61,65,68,70,70,68,62,66,68,71,69,66,66,67,65,70,67,65,65,65,65,66,63,69,75,49,52,62,81,91,81,62,62,73,73,86,59,60,68,63,48,70,61,62,63,59,64,72,79,63,65,67,73,68,71,65,59,67,67,60,57,48,50,61,87,87,63,56,51,61,61,59,56,57,53,55,55,60,47,60,49,49,56,82,92,61,92,88,74,36,29,28,58,40,56,67,72,32,82,68,62,29,24,56,25,19,58,47,51,82,74,93,111,111,109,96,81,94,92,79,100,77,73,73,83,118,96,126,52,78,35,61,94,72,94,71,66,87,67,78,56,64,78,85,83,78,82,78,77,69,79,104,102,100,82,72,102,83,76,84,77,83,68,79,86,79,63,69,87,72,74,81,68,72,73,90,68,73,70,77,73,72,76,74,74,71,52,59,63,67,61,57,80,68,97,83,111,97,107,95,26,31,52,83,64,44,46,91,105,58,121,111,118,98,26,53,55
51,64,62,63,67,62,57,55,83,67,61,59,68,71,21,31,94,65,76,61,59,80,85,60,64,64,61,58,66,72,71,59,57,58,67,78,61,62,62,58,61,63,57,63,75,67,70,65,68,64,70,68,75,73,70,67,64,64,66,64,63,69,61,59,59,58,66,60,63,63,64,72,61,62,59,67,69,63,57,84,57,64,66,63,54,62,59,58,61,58,68,55,68,71,75,64,73,71,59,57,51,52,51,46,50,50,67,76,56,48,58,45,61,57,70,50,56,62,57,60,58,60,50,43,79,53,44,98,88,75,82,56,61,45,47,53,58,39,53,34,47,61,67,25,67,47,58,68,28,61,36,44,90,81,95,99,88,90,98,93,97,86,94,27,83,79,51,61,61,87,87,53,54,74,81,65,86,87,79,90,77,94,86,73,76,88,89,75,78,86,81,77,78,81,76,71,68,71,64,74,104,84,79,76,77,83,93,75,58,76,80,85,79,75,73,77,73,77,71,73,77,78,78,74,64,61,67,66,57,71,75,80,56,63,65,59,60,58,51,59,86,109,92,90,66,75,43,35,53,53,56,54,52,48,113,92
47,49,61,68,65,62,61,57,61,56,69,51,68,66,74,67,71,76,83,69,67,71,71,68,68,63,59,44,66,65,72,78,53,64,57,42,66,65,63,60,64,62,62,63,58,66,70,55,53,56,55,66,69,82,55,67,70,72,63,63,71,65,74,55,91,65,64,62,57,61,62,62,57,65,62,66,64,70,60,68,74,71,59,62,59,66,59,64,61,56,65,72,75,84,60,66,54,68,58,67,65,53,55,51,51,53,57,47,61,85,75,66,58,54,59,47,41,59,57,49,73,54,41,70,55,87,60,48,47,52,73,69,70,48,57,40,49,48,42,84,71,60,54,66,47,56,58,45,43,30,23,17,54,65,79,75,78,88,90,83,93,98,97,84,88,71,80,80,67,61,80,58,88,70,86,82,90,88,80,83,50,60,80,90,81,84,80,80,91,78,78,76,76,81,82,78,80,83,79,80,74,81,94,83,81,75,78,82,87,91,49,63,69,85,73,74,79,77,76,71,73,77,79,78,70,70,64,67,69,80,104,126,78,71,65,67,61,61,60,58,60,57,55,50,48,47,47,54,59,105,59,61,53,46,62,59
63,59,43,48,54,55,67,64,55,69,64,53,64,67,78,68,71,73,62,62,64,61,71,76,61,58,61,59,62,48,63,66,66,77,83,69,66,66,63,63,62,62,65,56,59,49,62,76,50,53,54,57,73,67,62,51,74,65,53,57,56,55,59,61,54,61,61,60,55,65,60,76,72,62,68,64,67,63,68,70,65,59,63,74,67,68,54,67,67,73,57,58,60,62,74,49,65,73,65,64,45,41,63,58,56,58,56,61,49,45,72,71,83,74,55,58,63,42,40,31,38,24,75,61,80,33,50,54,49,69,59,23,52,82,64,95,90,88,88,44,67,71,46,46,57,47,64,31,51,59,59,22,34,36,51,55,61,70,87,91,95,93,82,95,84,68,81,77,63,77,83,85,91,65,89,61,78,56,88,86,110,74,85,95,78,86,80,84,87,82,80,76,78,76,80,81,84,81,83,84,84,75,71,90,77,76,78,79,83,77,83,86,81,81,40,40,51,67,71,75,75,80,74,83,74,70,74,67,73,72,75,64,70,110,87,65,61,68,60,59,59,59,62,53,58,51,57,58,58,54,58,49,96,58,76,44
66,72,59,66,77,73,44,59,77,75,77,66,60,66,75,69,76,67,65,62,61,65,67,70,64,66,59,54,58,60,52,56,57,58,74,63,69,90,95,94,87,90,74,58,60,59,57,54,59,58,60,67,62,52,57,57,55,56,55,62,64,58,59,54,52,60,60,62,57,60,57,47,57,70,83,71,73,70,68,61,65,66,60,59,63,71,59,61,61,67,74,102,98,70,75,70,54,63,68,68,54,57,60,56,62,53,62,58,51,66,49,58,52,63,92,71,52,57,64,61,48,61,58,65,72,37,64,62,66,45,50,82,65,69,26,85,47,32,36,23,42,11,45,44,70,43,41,82,58,63,51,68,37,45,70,45,48,51,60,61,78,83,84,93,84,77,84,82,79,85,89,79,60,103,60,98,106,117,97,81,97,97,72,80,86,85,77,85,81,81,74,80,80,81,79,78,82,81,82,85,83,88,77,75,84,78,71,75,76,77,82,75,77,82,85,83,84,89,97,93,74,78,52,53,57,62,67,72,73,68,68,73,75,67,67,61,98,68,39,56,62,59,60,57,57,54,57,55,55,54,60,59,55,56,48,44
64,67,69,64,39,64,66,59,28,52,53,64,49,60,69,72,68,65,52,61,60,71,71,71,67,59,64,54,58,79,68,61,59,62,74,72,77,66,54,27,35,50,71,66,96,49,67,78,66,62,58,62,61,55,55,56,46,55,55,53,58,58,57,56,68,71,67,58,45,57,50,61,61,55,63,57,83,82,68,67,65,68,66,65,58,79,86,70,66,72,109,45,49,95,80,71,78,93,33,106,61,48,52,58,62,57,48,72,65,60,57,60,65,52,48,69,77,71,73,63,68,58,55,42,57,61,82,89,88,71,52,61,48,65,75,57,53,44,47,76,85,71,46,47,51,58,25,61,63,36,55,32,64,64,22,64,52,46,55,59,63,38,44,74,70,75,83,82,74,88,90,77,82,91,80,55,110,63,95,80,82,77,103,102,80,38,71,81,81,78,79,76,78,84,79,83,83,80,85,86,81,81,87,80,79,82,70,78,85,84,92,91,117,63,66,66,56,73,63,70,70,77,80,76,79,79,80,79,47,47,60,63,68,73,71,69,65,58,94,82,68,37,49,57,61,56,58,56,58,58,56,58,56,56,55,54
67,68,68,67,74,72,61,63,69,67,57,48,73,72,79,64,79,70,67,65,53,56,56,69,60,96,75,59,53,62,52,79,66,82,78,82,71,71,69,74,76,62,75,78,45,93,57,47,64,65,61,62,64,69,86,64,64,58,59,57,57,57,56,58,66,66,63,65,68,47,48,64,46,45,50,63,59,58,63,77,77,64,64,63,67,68,49,83,75,21,41,57,56,54,39,73,78,67,65,58,58,62,51,38,44,49,56,64,52,72,55,53,60,59,59,55,44,75,46,43,61,89,70,66,80,92,55,59,55,75,72,54,67,63,53,37,49,74,41,61,23,10,72,88,54,51,43,33,60,61,68,56,57,46,62,76,75,56,47,73,68,65,66,52,43,46,57,70,78,84,87,82,93,101,40,90,53,53,39,81,66,71,74,93,47,94,62,62,80,88,74,83,83,82,86,85,82,68,90,77,84,81,79,89,78,83,85,78,80,71,51,67,72,76,78,76,69,86,76,78,75,74,72,73,69,72,66,83,90,97,102,95,88,67,47,65,67,67,59,73,71,66,73,59,34,48,52,56,61,62,58,58,56,59,55,57
67,68,69,66,70,67,62,72,65,62,65,78,86,43,60,47,81,65,61,65,71,67,71,57,64,67,56,57,63,73,73,64,62,47,59,59,62,70,81,77,66,63,65,68,85,50,25,78,64,63,67,70,62,64,18,59,57,56,58,58,60,55,58,58,57,58,59,64,60,76,75,55,67,90,63,69,60,53,75,36,53,66,80,59,64,56,68,51,96,70,54,38,52,58,56,50,52,92,64,62,76,49,52,61,68,73,43,49,62,41,46,46,47,57,63,63,53,57,62,52,50,61,69,67,45,52,49,48,66,61,70,57,59,58,58,78,52,62,34,50,55,87,39,28,47,97,60,81,48,61,63,61,52,56,67,50,35,56,60,67,72,59,76,55,48,54,54,59,56,58,71,77,97,31,70,114,96,44,23,78,82,105,37,104,94,89,55,108,79,84,57,52,49,62,77,78,85,78,98,79,47,44,65,88,82,77,80,83,76,79,83,78,60,62,67,57,87,76,76,75,80,70,79,76,75,82,82,65,76,56,56,59,77,101,92,89,86,85,40,36,74,68,70,63,71,69,72,77,77,45,35,30,31,35,45,52
74,75,64,61,72,72,76,70,75,74,68,64,64,66,56,57,67,77,71,67,75,84,83,64,49,72,72,76,53,71,51,42,66,53,54,60,63,58,61,59,60,66,64,63,80,30,78,75,86,91,101,89,90,90,82,64,60,61,54,59,68,77,68,57,58,61,63,63,49,77,69,54,49,67,52,63,63,67,67,73,80,49,57,75,68,53,68,69,59,46,81,76,77,40,51,63,59,53,58,88,97,69,53,52,82,78,84,78,65,70,82,90,67,70,41,35,39,53,54,55,53,53,45,38,60,60,57,82,66,55,47,72,42,44,75,66,66,59,66,69,37,70,69,77,23,43,72,46,78,52,19,23,47,53,58,38,68,31,24,50,70,81,84,64,58,63,77,53,77,61,59,83,9,95,97,34,90,90,95,92,81,58,92,56,76,78,85,79,79,74,109,86,85,98,68,95,79,95,70,92,83,79,94,52,82,83,106,80,70,84,69,75,69,76,81,80,88,107,101,79,54,62,73,75,84,81,76,81,75,67,76,69,69,70,60,70,98,95,82,74,64,69,66,63,68,69,61,63,58,58,65,65,65,71,78,91
48,69,88,81,72,78,78,77,78,79,82,81,67,63,73,99,74,78,75,58,68,56,59,92,80,62,45,52,68,59,60,66,74,69,64,68,73,78,65,53,57,56,73,54,59,69,68,46,53,46,55,53,51,58,45,87,76,62,53,69,51,54,60,77,64,59,61,61,44,45,77,73,57,57,69,57,63,59,64,70,68,74,50,68,62,64,70,66,64,60,54,61,59,73,73,63,66,75,67,55,51,92,86,61,54,38,28,53,75,77,85,73,72,75,73,64,60,64,68,58,56,50,37,30,47,40,51,57,87,59,59,52,57,65,84,61,60,74,53,31,74,77,53,58,50,56,81,60,77,69,51,74,98,56,87,75,41,94,90,104,73,120,26,31,10,11,52,40,86,29,40,94,45,36,44,65,64,68,82,81,84,75,80,79,86,98,105,61,42,105,88,81,71,76,86,58,98,69,42,72,62,77,84,81,97,59,71,88,78,79,78,80,67,75,73,76,78,73,69,71,63,76,60,74,76,69,66,64,81,73,70,73,74,77,75,75,63,54,55,76,96,99,101,90,77,84,97,99,86,70,73,76,66,68,75,74
62,53,41,48,63,92,80,77,79,74,63,52,91,101,53,61,70,64,53,63,72,76,72,67,63,61,75,71,63,57,56,69,65,66,72,71,72,76,76,69,65,83,70,67,63,57,59,56,34,49,38,38,42,60,58,59,45,63,90,70,54,67,63,61,55,67,57,56,64,81,62,79,74,64,66,68,61,57,64,64,66,69,73,66,67,59,71,61,62,55,79,61,72,76,33,61,64,61,68,61,64,54,51,96,88,106,82,46,49,45,50,59,48,42,53,77,88,75,71,59,61,66,70,41,63,73,42,62,65,56,32,75,45,48,46,75,66,89,51,32,52,53,41,65,68,34,98,51,44,55,60,42,44,45,68,44,93,27,36,26,66,61,52,82,65,67,81,60,45,66,54,44,63,70,70,65,63,56,49,59,70,67,84,93,71,53,98,95,92,60,42,68,95,80,71,84,83,84,72,71,74,74,82,79,79,85,97,66,73,81,77,77,74,67,73,74,73,72,70,78,85,95,86,73,83,82,73,67,80,95,98,55,52,57,82,81,75,73,66,67,64,65,59,60,54,54,57,60,57,65,47,43,50,43,48,77
56,58,58,58,52,43,49,84,74,72,83,46,38,43,56,68,66,71,63,53,38,44,96,58,53,59,62,57,56,59,54,61,67,75,64,63,72,73,65,71,60,61,64,73,65,55,61,65,58,57,61,77,75,86,71,74,64,72,49,91,65,67,66,66,61,74,87,88,70,79,73,51,71,72,72,58,74,69,94,60,53,65,68,72,70,54,70,67,65,64,60,60,48,55,71,84,35,43,61,65,55,59,64,59,49,48,85,83,56,70,54,45,43,50,56,50,50,51,54,51,42,53,77,68,70,108,94,79,53,84,57,53,72,72,68,27,49,40,71,97,72,62,60,42,69,58,79,57,45,24,28,38,65,74,39,38,36,56,101,81,32,46,32,15,65,57,55,52,69,66,50,58,55,57,76,67,38,57,59,71,56,41,72,74,53,98,89,82,84,73,70,87,95,78,79,66,74,81,80,79,89,90,97,76,75,72,74,80,79,82,77,81,85,80,72,73,72,66,80,80,69,74,70,69,66,68,60,55,82,83,82,92,80,93,77,71,48,55,68,72,72,71,73,72,77,69,66,39,27,34,40,48,37,28,27,37
55,58,53,56,58,55,55,60,97,97,79,81,82,85,79,68,50,81,77,75,68,75,60,64,64,61,64,57,56,66,54,65,66,66,65,63,56,56,43,90,87,89,90,99,88,85,82,73,72,71,73,68,66,55,26,40,56,66,65,68,70,59,68,65,65,63,49,46,90,88,95,71,71,78,98,74,62,75,68,34,64,59,61,63,89,67,48,46,41,67,57,69,57,66,63,70,69,72,63,44,32,60,65,71,71,61,53,55,54,87,81,55,56,54,48,40,53,56,55,59,57,57,60,57,54,70,49,51,46,81,91,56,53,64,55,47,83,34,69,24,55,67,73,88,74,48,55,72,45,78,78,58,45,46,50,33,29,56,66,64,58,80,52,58,48,54,65,78,55,68,55,52,80,60,61,32,51,62,50,70,86,102,77,69,62,42,74,70,81,90,74,80,98,84,100,84,69,69,75,76,99,72,73,105,78,79,85,80,76,80,80,79,76,76,77,78,77,77,54,59,65,72,76,72,75,72,69,70,69,76,73,73,71,67,69,86,80,81,93,91,50,39,39,39,30,43,87,79,65,62,62,70,64,70,74,83
71,44,59,37,48,57,59,57,49,50,94,76,73,69,70,73,70,63,58,52,86,90,66,62,63,54,47,68,72,73,76,62,69,91,65,53,77,49,69,66,49,47,50,56,44,68,96,99,88,71,70,72,72,61,73,78,76,55,69,69,51,52,45,58,51,52,56,63,59,62,56,54,56,48,50,78,89,65,66,62,52,61,59,66,65,63,68,73,59,62,69,57,69,57,49,55,63,72,75,81,77,70,63,87,55,27,24,42,77,35,47,52,52,50,55,59,59,43,41,51,50,42,35,53,59,61,53,58,54,46,40,46,77,79,83,61,26,79,50,75,49,61,59,56,59,86,77,71,86,102,92,64,52,45,77,122,67,64,69,71,71,30,63,62,96,69,15,78,86,70,34,16,10,98,69,53,71,56,82,15,27,59,74,77,71,52,68,79,57,67,66,62,96,86,38,70,100,107,78,69,70,74,56,80,79,71,89,63,79,77,78,116,109,98,87,64,93,78,87,88,98,91,50,75,77,71,70,76,72,72,71,78,74,73,79,73,64,74,77,71,69,73,76,76,68,70,61,66,65,60,56,58,59,49,59,56
74,76,82,73,73,41,45,49,59,56,51,68,84,69,60,63,66,60,49,56,38,53,62,67,60,61,59,76,70,69,70,72,64,64,83,76,60,62,66,64,49,56,68,65,74,66,49,54,45,80,59,58,62,83,56,60,61,87,69,62,62,62,67,75,75,71,85,114,113,76,68,48,66,65,57,61,54,78,67,73,89,78,79,73,86,67,64,69,69,56,38,89,101,82,53,48,77,59,56,52,58,64,80,53,57,62,73,68,52,63,52,54,57,58,49,57,53,56,80,86,76,86,73,87,58,54,44,48,45,51,108,66,48,56,63,31,72,90,52,37,69,55,54,59,63,57,54,47,42,44,52,79,81,77,45,43,54,51,58,75,55,74,52,21,41,15,66,40,35,67,52,82,91,66,72,67,87,71,67,62,74,39,82,43,92,66,49,80,77,67,42,71,46,60,79,52,54,75,76,77,74,91,82,83,86,82,88,77,111,88,80,75,54,65,54,76,52,76,78,80,85,80,86,96,63,47,68,77,77,76,72,74,79,72,74,75,71,66,59,80,67,66,65,67,70,67,65,96,106,98,92,95,106,66,67,78
58,56,61,60,61,68,71,75,32,53,60,69,38,50,93,70,61,63,62,86,98,91,40,68,73,63,51,57,82,74,83,75,74,57,77,72,68,64,67,68,68,85,78,66,74,64,68,62,61,82,62,59,62,64,66,63,56,67,63,62,60,63,67,81,60,87,78,27,43,50,55,58,69,81,84,51,48,80,72,38,34,38,75,63,65,64,86,93,72,68,66,34,53,25,60,36,51,82,60,54,57,74,54,95,62,58,48,55,71,98,68,56,58,54,57,60,55,52,49,50,57,59,61,70,65,68,53,68,50,49,32,61,64,46,45,67,98,32,51,83,103,65,44,31,42,72,57,61,55,80,64,42,48,52,61,80,90,48,60,102,72,50,59,75,25,28,82,55,63,62,46,49,56,53,94,58,50,52,72,52,58,55,37,93,66,73,65,87,69,63,86,55,85,41,79,99,123,117,44,62,98,113,85,61,77,77,58,61,75,86,85,71,77,90,88,78,79,96,101,93,76,82,84,79,76,83,94,49,58,79,78,72,72,76,79,76,74,77,68,68,58,88,71,67,70,72,59,53,59,61,63,63,63,65,69,70
59,68,66,64,60,66,64,68,74,77,58,82,49,40,50,61,86,69,68,34,45,47,64,91,84,61,60,63,103,98,78,105,104,82,69,74,66,62,65,57,65,59,66,69,65,67,69,67,65,62,64,67,64,61,47,60,90,74,66,67,65,62,66,85,58,59,58,57,73,62,64,61,62,57,52,63,92,81,42,76,98,88,71,72,74,43,69,63,53,81,79,70,93,77,70,71,59,81,73,66,48,60,70,67,74,65,73,97,66,35,56,69,61,53,56,53,59,36,62,49,71,56,49,39,36,64,56,55,80,67,64,68,99,90,67,64,43,62,45,35,69,59,19,45,85,84,59,48,59,49,61,58,54,46,82,82,64,52,86,94,91,86,100,57,45,69,66,72,54,64,56,61,56,66,52,66,70,51,54,52,68,53,74,61,67,76,43,76,79,42,48,101,69,54,66,68,45,119,11,98,118,73,72,90,90,79,68,83,80,36,110,78,115,82,95,77,74,82,72,66,61,50,85,80,88,82,78,76,94,100,60,68,76,72,75,75,74,70,66,65,67,59,74,82,69,69,65,53,62,66,63,63,67,66,68,68
63,68,53,59,96,95,74,66,66,75,71,74,77,71,44,34,46,59,81,73,89,93,79,42,38,65,71,70,56,79,60,56,58,53,85,103,97,83,84,73,67,63,69,62,58,56,40,54,65,61,57,61,65,64,68,56,56,57,75,62,63,60,84,46,59,58,61,59,61,63,63,67,63,58,59,60,59,51,70,98,38,29,84,88,74,70,54,29,71,53,82,83,54,57,57,55,48,61,60,62,63,72,45,69,52,74,73,56,47,84,74,27,52,84,78,60,53,54,54,71,71,61,53,57,77,46,75,50,59,89,68,64,65,59,66,65,67,65,87,34,75,50,54,54,83,39,75,89,93,43,46,54,54,56,107,52,107,68,104,68,61,87,69,68,54,63,57,61,52,65,46,45,51,79,80,73,47,59,42,60,49,47,29,44,72,48,115,69,44,84,83,68,70,54,81,79,89,64,81,54,81,60,58,85,59,69,87,90,74,75,96,39,42,67,78,55,74,80,95,75,80,89,64,78,54,62,74,59,33,69,85,82,72,72,75,77,77,70,74,68,71,66,72,62,72,77,73,83,71,36,37,54,60,62,73,69
53,54,59,63,30,35,53,87,109,90,81,69,72,74,80,84,93,82,73,77,67,69,73,73,87,69,87,42,66,66,38,32,40,36,46,49,49,47,51,52,54,69,108,89,72,67,58,67,85,46,48,53,67,64,65,66,62,68,53,68,70,71,74,88,84,39,35,41,44,40,61,58,62,61,65,59,60,61,61,58,56,97,92,19,68,58,57,59,56,73,43,68,42,36,72,65,57,65,64,62,62,71,80,67,72,86,105,85,142,106,77,66,40,48,47,86,51,52,49,51,48,55,55,61,38,65,69,87,33,74,57,52,53,29,22,66,57,72,57,122,16,63,79,63,38,52,36,48,50,74,99,99,76,58,81,67,57,96,63,81,71,72,49,57,41,99,75,58,69,87,73,44,44,54,85,69,70,67,89,68,50,53,69,72,96,89,53,81,78,64,58,55,62,65,55,50,80,75,56,64,65,92,52,54,69,67,80,74,92,69,82,81,87,82,88,83,74,74,74,115,94,75,115,99,104,104,88,106,91,84,83,71,66,78,78,56,67,75,72,71,72,69,62,63,31,65,75,61,64,62,61,65,40,44,44,56
58,85,78,58,62,75,84,56,25,35,68,95,86,79,75,78,76,78,86,73,71,67,70,74,73,65,63,66,62,65,65,74,74,67,80,80,80,50,31,39,58,54,54,47,47,58,87,98,109,85,74,80,62,46,59,66,68,66,61,78,74,71,73,75,71,76,71,73,86,97,62,61,63,63,64,59,63,61,64,61,60,58,52,58,70,58,57,57,56,64,72,62,81,119,49,55,52,71,90,53,59,43,85,72,57,64,38,60,33,19,11,56,60,42,43,46,84,58,54,59,62,47,58,87,97,62,56,62,75,55,54,73,91,98,71,66,86,86,47,47,68,76,84,90,80,37,70,42,46,72,36,52,73,94,106,71,60,46,77,41,101,62,95,121,61,59,88,75,33,26,41,76,42,65,74,68,59,67,61,76,81,71,27,93,64,76,75,76,76,106,88,60,53,48,79,69,67,73,81,83,58,92,89,84,61,88,94,73,83,61,44,95,84,79,70,74,73,73,91,68,47,60,66,47,59,53,86,62,58,57,101,98,78,71,69,77,102,95,75,57,61,60,76,60,57,64,61,62,62,58,56,54,61,65,70,81
57,59,64,77,85,86,87,92,77,79,55,30,39,63,103,79,73,71,56,65,54,54,64,66,66,66,87,67,46,47,67,101,96,100,97,100,98,77,66,75,88,86,70,46,43,59,57,56,54,48,52,64,98,88,77,90,89,68,55,70,69,65,66,66,70,73,66,60,50,49,62,62,56,65,65,66,68,62,59,60,60,62,60,60,42,55,60,60,64,68,79,59,70,64,81,64,30,12,72,57,65,62,67,64,58,67,72,76,74,47,77,68,54,60,65,50,56,29,55,45,59,76,106,40,46,54,58,56,56,73,69,48,25,24,77,71,52,62,87,90,48,47,50,83,99,74,63,49,78,63,52,46,60,54,53,62,60,71,103,53,16,55,39,63,65,56,84,81,56,33,68,66,74,82,72,67,70,45,52,115,29,49,37,76,48,57,57,39,64,61,65,103,90,65,63,86,58,74,104,72,78,75,84,75,73,76,89,70,29,59,83,42,23,52,81,76,93,75,72,78,92,98,84,86,103,72,67,60,77,71,82,74,76,72,66,70,43,62,52,50,76,69,64,62,62,58,61,61,53,57,50,55,53,66,64,63
70,65,76,66,53,60,66,56,83,52,63,64,71,55,29,56,69,69,65,64,60,66,56,52,65,70,44,28,28,50,49,46,46,41,45,43,41,67,84,81,68,68,69,84,92,97,85,61,47,31,46,66,59,54,56,73,104,111,117,93,80,78,71,73,61,67,76,59,68,66,42,46,62,61,62,64,64,64,65,60,63,59,65,65,62,80,66,59,65,62,56,111,52,50,60,63,63,63,56,67,72,75,49,79,65,62,61,63,65,41,51,79,61,55,57,49,46,74,52,51,56,33,48,52,60,55,66,52,52,73,63,59,63,39,91,70,63,29,40,65,54,57,56,53,78,46,52,59,65,31,67,47,42,39,67,63,69,59,52,69,59,41,72,51,43,37,89,50,136,27,66,64,66,62,69,63,39,79,93,49,65,71,55,90,70,77,74,56,70,87,83,61,59,68,67,75,69,91,75,59,71,64,86,55,115,67,81,78,95,83,71,71,68,60,53,45,77,86,76,80,92,47,82,76,78,83,79,83,72,74,83,78,94,73,65,67,73,73,70,87,80,70,56,91,74,91,78,66,57,52,52,49,54,58,75,72
77,75,74,84,98,89,64,61,69,61,58,60,54,54,60,71,62,75,76,52,69,82,64,81,79,69,72,68,81,103,56,45,58,59,55,58,60,75,63,59,53,61,89,88,83,76,61,65,65,65,72,62,71,57,33,68,51,53,54,48,45,62,105,89,84,75,62,62,68,67,75,84,80,36,76,49,45,54,63,63,63,64,63,59,82,74,65,67,77,63,68,56,54,57,60,61,49,59,81,92,66,68,63,31,62,58,63,66,59,62,76,56,55,80,55,70,51,41,59,47,59,54,53,48,62,58,40,92,71,59,23,64,67,68,25,47,76,59,77,38,76,58,62,51,42,60,37,63,39,64,40,64,86,39,36,64,65,84,25,33,24,32,49,50,102,94,59,26,66,108,43,70,88,70,76,59,60,66,63,65,65,71,73,49,46,57,90,94,58,66,62,71,69,76,73,70,63,68,65,63,74,71,38,48,93,59,81,68,65,76,69,71,56,61,50,62,52,78,48,81,41,67,78,72,68,73,71,82,83,65,95,68,75,102,70,77,96,44,89,83,94,84,87,39,59,70,64,64,77,76,75,69,70,62,65,61
72,77,78,76,72,65,66,69,69,87,81,77,60,53,50,56,68,99,82,55,55,27,71,41,61,51,52,68,86,81,75,87,65,36,51,56,58,78,66,65,67,65,63,52,66,94,82,86,70,65,63,56,64,69,72,69,87,43,35,61,62,64,50,46,58,79,93,82,35,75,110,81,79,105,80,84,87,84,71,41,56,59,66,65,86,67,64,53,61,63,66,68,89,79,71,61,60,59,35,54,61,76,65,80,85,81,92,73,68,74,60,53,51,59,64,59,62,63,54,61,43,45,60,54,41,79,82,69,60,54,61,49,47,55,70,43,55,65,78,96,61,65,59,56,59,62,83,44,92,58,61,42,30,80,76,64,33,92,115,54,13,107,49,47,112,116,56,50,99,115,109,83,65,48,54,61,77,70,61,70,67,82,79,70,65,75,64,58,43,91,88,78,74,80,72,85,87,72,74,70,73,71,76,74,61,56,81,82,61,71,73,60,68,100,91,55,75,66,60,61,79,64,88,59,55,81,93,88,94,82,84,94,83,73,66,92,67,67,60,44,63,64,62,61,68,69,74,74,76,59,58,52,57,63,94,81
97,80,61,56,75,81,79,76,80,77,71,62,79,80,50,61,64,30,28,54,44,85,63,67,56,40,64,68,64,54,51,52,92,92,104,68,34,72,68,64,67,66,65,70,61,62,54,53,48,51,58,66,68,70,76,72,62,70,79,65,30,44,52,44,61,62,53,88,66,66,39,76,63,58,75,84,73,67,63,77,84,81,86,46,66,67,67,78,71,67,74,67,69,61,54,66,77,66,50,22,11,68,74,58,74,21,43,61,99,103,91,104,92,85,77,79,58,61,58,57,60,64,28,49,71,75,55,64,78,58,58,55,62,73,59,70,76,81,42,43,61,72,60,61,62,59,64,37,64,54,52,48,87,77,44,21,73,58,51,11,9,58,36,29,82,52,82,69,61,65,54,59,56,58,99,99,67,74,68,69,77,72,72,73,71,69,71,71,67,71,60,63,70,62,35,41,39,99,104,91,79,76,73,66,77,93,69,59,66,62,65,76,62,102,45,95,69,60,63,58,59,72,47,64,55,107,62,77,63,75,72,71,77,82,70,82,73,73,76,63,58,65,72,69,95,73,70,68,68,66,62,65,57,62,65,63
52,58,91,80,72,51,72,76,79,75,72,77,73,60,67,66,67,64,76,82,94,67,70,62,71,84,73,38,63,68,66,67,64,56,73,102,101,78,45,55,66,64,62,67,63,67,61,59,63,64,58,61,62,57,61,68,82,88,75,72,81,89,87,65,51,66,60,74,57,51,89,63,69,73,69,70,68,76,72,74,76,80,72,78,78,75,58,35,37,65,66,64,62,67,69,67,66,67,73,70,65,75,107,95,82,90,71,76,24,24,85,57,52,53,42,35,64,97,61,53,55,57,53,56,62,30,46,32,48,68,91,59,49,48,68,64,29,102,94,72,51,77,61,58,68,31,79,71,39,51,72,55,74,66,64,66,37,48,65,76,33,34,63,53,31,9,34,76,61,49,62,65,63,58,65,58,89,73,68,74,62,74,66,70,71,62,70,68,71,63,64,64,60,75,68,66,66,59,55,76,80,56,88,103,99,96,73,66,73,64,69,65,37,98,43,82,81,81,110,91,78,67,69,70,75,71,79,57,73,63,53,63,70,84,81,80,75,83,79,85,80,64,70,86,83,76,72,63,56,66,65,64,65,63,69,71
72,50,58,51,66,90,76,60,46,73,75,74,74,71,85,72,70,67,81,60,78,72,73,67,64,63,67,73,78,85,74,62,64,33,58,73,55,76,92,83,53,44,58,75,65,61,63,60,60,63,64,59,59,69,63,66,60,55,42,52,83,98,104,95,84,63,44,62,105,107,83,82,82,79,74,72,73,70,70,75,73,75,66,64,62,84,79,92,95,89,99,48,39,60,67,65,83,78,72,58,62,62,19,41,76,63,57,72,86,97,25,52,63,57,57,55,48,50,67,69,62,68,81,62,75,80,86,79,56,55,50,69,51,56,42,67,26,53,89,109,75,60,75,63,49,76,112,53,50,56,63,73,66,59,67,69,81,83,47,59,79,70,73,70,53,87,49,77,28,83,86,91,41,57,59,73,64,60,69,68,66,78,70,98,68,75,101,83,59,63,45,69,66,75,72,76,71,65,63,71,62,53,64,61,49,56,72,114,101,86,68,70,76,75,103,60,61,85,60,64,79,73,76,64,71,70,70,70,65,70,70,76,68,63,59,67,76,79,72,71,68,60,54,71,74,76,78,73,55,64,68,67,65,72,71,63
58,68,87,65,56,51,49,81,71,91,82,72,70,79,67,61,74,85,60,63,68,67,68,110,118,98,73,84,85,88,57,83,70,72,72,71,45,56,58,47,62,89,80,53,40,54,49,54,66,58,60,60,62,67,65,65,64,64,57,57,68,58,57,51,91,80,71,50,33,65,63,67,76,79,78,86,84,86,83,76,77,72,72,68,72,67,67,64,57,58,65,80,105,101,86,84,99,85,85,98,104,70,86,109,104,88,98,106,100,76,86,36,42,61,66,55,56,55,51,56,43,54,49,47,49,55,48,54,57,71,92,79,81,81,74,67,66,70,50,51,52,83,103,40,55,94,87,55,64,47,45,69,52,76,74,77,43,23,34,66,81,103,48,68,38,67,89,61,76,79,68,74,74,97,65,55,68,70,67,75,67,65,71,61,75,75,63,65,63,67,77,97,60,57,62,46,52,121,101,113,119,117,102,67,66,70,69,65,60,53,47,78,107,62,68,90,97,74,64,56,92,83,71,72,64,69,67,70,54,65,74,73,85,58,59,90,67,65,78,79,71,73,61,82,62,58,63,66,68,85,71,50,62,81,64,75
65,63,65,67,74,80,77,39,43,48,50,89,73,53,55,69,59,51,84,84,72,61,52,29,54,51,49,61,65,63,73,43,56,59,57,63,74,74,47,50,53,60,58,56,83,87,75,74,64,44,61,58,68,69,63,65,60,68,57,59,77,64,68,82,63,55,47,80,65,76,41,57,73,67,68,68,64,67,73,81,81,83,83,80,79,79,69,68,68,68,70,66,61,59,63,55,50,50,50,59,60,68,66,69,56,52,53,57,43,43,100,86,95,46,36,40,51,50,48,51,55,50,56,60,43,53,57,61,50,76,41,41,56,59,57,85,44,59,60,58,59,44,58,84,50,87,67,65,55,65,59,45,60,70,59,70,62,46,50,43,83,53,102,85,48,67,46,80,67,81,64,78,60,74,76,95,65,52,52,70,84,60,65,69,63,65,68,66,67,73,67,66,80,89,108,97,124,47,75,71,57,62,54,74,72,81,95,79,66,70,68,61,61,48,52,78,76,64,65,90,45,55,72,71,70,70,71,65,67,78,66,71,77,64,67,62,107,86,73,69,76,66,64,69,77,74,79,75,65,66,77,75,79,74,53,53
69,70,70,72,70,76,67,60,71,73,44,45,100,89,74,45,63,66,63,81,74,40,72,77,69,41,25,71,64,69,57,62,61,53,48,50,54,71,71,79,79,85,73,45,56,63,66,88,83,74,80,41,58,60,64,63,66,66,64,48,53,61,54,77,63,69,70,57,69,61,82,81,81,44,72,77,75,70,69,69,65,68,86,68,69,77,71,71,67,70,73,74,65,66,69,73,72,68,70,70,67,65,67,69,68,70,68,67,61,56,65,51,115,77,72,84,52,62,61,42,45,46,51,58,94,67,46,46,58,55,65,55,56,52,53,50,57,54,54,51,63,60,64,34,63,62,50,63,72,55,42,62,55,59,51,29,68,19,48,45,61,47,59,54,80,51,67,94,59,64,57,61,73,90,63,58,83,68,73,83,90,84,79,78,60,57,65,71,59,66,71,71,67,78,66,72,68,70,74,70,70,71,76,71,71,67,59,65,82,67,68,74,73,68,61,62,77,71,84,75,91,61,56,72,72,77,73,69,67,71,70,69,71,71,67,67,38,56,68,76,60,64,77,64,68,64,79,67,65,72,75,66,77,78,74,64
63,55,47,51,66,72,70,68,72,65,55,90,70,36,38,60,85,65,25,36,61,76,58,54,60,68,73,81,77,62,51,59,68,73,71,58,55,77,76,71,74,72,75,76,79,75,41,59,63,60,83,80,88,89,53,42,41,66,56,70,55,62,60,72,61,72,72,71,71,73,70,79,82,85,82,45,59,68,75,68,71,70,74,72,70,47,72,66,70,71,65,67,69,73,71,66,66,70,69,62,63,66,65,65,65,66,64,68,65,62,60,64,58,52,75,99,83,71,70,67,83,79,76,75,44,56,56,91,52,38,46,47,51,54,55,60,55,57,57,52,56,43,84,99,54,63,13,64,98,62,68,67,27,53,65,72,66,28,79,62,85,69,62,84,40,66,58,74,76,65,71,57,62,57,84,63,73,60,73,22,57,79,82,85,73,74,77,78,66,56,42,83,65,76,75,73,63,63,65,74,71,74,76,74,71,80,72,71,65,63,68,67,71,67,72,77,65,51,67,105,88,78,66,71,72,72,68,77,77,70,76,75,67,72,78,89,71,61,62,68,97,69,83,59,69,59,73,57,61,52,70,75,48,77,74,69
77,70,90,94,89,68,43,56,68,67,70,70,80,81,83,75,69,62,65,63,56,59,59,52,53,58,61,58,55,51,54,64,11,36,40,55,46,76,112,107,94,87,81,70,68,65,72,80,79,73,60,51,30,40,59,63,61,69,41,44,53,45,45,59,19,29,39,74,66,72,72,72,44,48,68,94,95,79,65,89,72,39,62,72,83,93,46,41,48,59,71,68,66,65,72,70,71,68,71,72,69,67,66,64,70,66,69,70,66,67,58,59,59,58,59,33,38,43,59,74,59,58,59,67,73,49,87,66,32,52,70,65,87,81,95,76,53,56,58,44,42,60,62,51,60,64,51,77,73,74,104,77,78,81,58,59,91,68,70,87,85,70,69,69,46,52,30,99,83,63,77,55,67,63,61,60,76,64,64,70,78,90,64,32,60,68,74,67,62,73,61,70,70,77,65,47,43,41,51,57,58,69,77,70,66,71,66,68,64,64,76,71,63,69,71,70,73,73,62,67,52,48,58,53,49,96,104,99,121,90,98,82,70,72,41,71,84,68,70,75,95,63,90,79,75,65,62,71,68,62,86,79,86,95,87,87
65,59,68,67,71,68,89,86,80,77,71,43,61,75,66,65,65,66,61,61,57,65,68,65,54,58,58,61,58,54,58,64,74,77,78,61,67,61,56,59,52,55,52,72,92,104,94,78,74,71,58,56,59,56,51,55,57,63,74,65,64,66,76,69,62,69,71,73,60,65,51,60,51,59,60,51,44,62,93,81,76,60,72,73,39,70,63,72,67,72,59,53,64,72,64,71,72,67,70,67,70,73,65,66,64,67,65,71,68,70,67,62,60,65,68,62,56,48,52,52,107,66,58,63,57,53,57,46,53,58,72,84,60,35,40,45,65,63,91,80,65,94,69,67,60,69,36,43,55,33,35,45,100,27,5,20,31,94,100,58,67,85,70,70,79,40,41,88,77,64,62,75,103,111,93,81,66,77,110,122,93,78,109,87,106,53,34,68,58,69,63,65,65,64,67,68,76,77,82,79,86,84,79,55,56,63,55,59,62,73,62,66,62,67,70,71,83,55,66,75,69,68,73,74,76,73,67,59,58,63,72,87,93,64,74,78,77,72,71,81,39,70,69,91,63,72,66,67,74,69,80,78,60,61,63,62
69,66,57,57,62,67,63,65,87,92,95,111,80,76,69,65,69,62,62,62,67,82,109,102,91,103,89,77,72,72,75,89,77,67,77,60,36,81,86,61,48,61,70,65,64,63,55,48,49,49,52,74,79,61,58,64,65,52,61,60,63,57,57,58,61,59,63,59,63,63,61,66,61,34,64,65,56,56,53,60,98,92,87,72,61,61,62,65,70,64,60,75,60,53,65,73,69,67,68,68,71,76,72,67,64,68,66,65,66,69,74,64,64,62,63,62,58,67,60,49,43,62,101,100,93,61,52,57,48,47,49,28,39,40,64,50,89,44,62,52,49,56,47,63,75,31,37,55,36,85,48,48,63,52,92,78,19,56,27,58,98,39,63,79,77,70,74,71,35,61,70,82,79,44,31,37,29,70,51,43,33,66,37,96,79,89,77,66,87,96,90,69,65,65,70,65,66,69,66,65,72,66,64,71,66,75,78,79,86,87,56,53,66,66,65,54,32,44,43,52,47,63,67,68,75,69,74,74,75,77,72,74,54,65,87,84,76,82,82,59,84,48,54,85,63,57,64,68,65,63,69,68,59,66,69,62
60,72,68,73,66,66,63,62,62,60,57,56,63,84,74,67,59,57,55,59,60,15,51,61,48,45,45,49,33,34,48,34,41,68,80,80,74,59,66,64,69,47,67,56,38,48,59,56,64,55,73,65,65,59,62,86,78,65,58,63,57,50,60,60,60,61,65,66,62,64,62,63,62,69,61,39,30,26,44,60,54,49,66,48,86,90,75,99,84,70,68,68,71,76,81,80,58,55,64,67,70,65,74,71,63,62,66,67,68,68,68,68,63,61,60,62,55,57,55,54,58,48,46,58,52,67,73,63,75,57,49,58,72,71,51,44,39,60,52,43,101,73,81,15,64,46,3,45,78,80,62,72,96,77,21,13,14,81,48,77,68,91,76,67,82,54,63,65,62,74,113,28,107,98,90,103,113,112,64,93,104,52,65,91,54,56,65,66,84,54,51,62,76,70,67,63,69,58,58,68,67,69,72,64,68,68,72,47,66,61,90,55,62,70,79,97,68,69,70,97,70,79,103,126,123,100,59,48,67,74,79,76,76,95,81,76,73,71,72,70,67,68,61,78,60,66,66,71,65,61,59,68,68,68,65,68
97,81,54,51,68,67,70,66,56,64,65,63,65,60,50,58,79,62,56,56,54,63,60,49,69,59,58,63,88,57,63,69,62,60,78,81,81,69,56,59,69,65,71,71,66,81,85,78,53,55,71,72,73,67,72,66,61,86,69,76,68,58,66,79,72,74,64,62,54,58,55,60,56,66,65,62,69,61,65,81,75,58,33,54,64,32,20,27,51,72,99,82,73,67,63,63,52,80,89,92,88,57,40,46,65,68,64,68,66,71,63,65,60,65,62,51,138,78,48,47,31,44,54,54,57,67,58,46,39,92,68,54,72,58,67,62,35,37,58,51,36,31,77,40,27,50,68,93,86,84,46,75,72,75,39,46,80,66,76,89,68,50,48,83,72,75,70,65,67,76,129,102,75,72,81,72,47,34,77,72,49,47,65,82,58,96,71,60,77,66,60,64,43,63,68,64,58,56,67,73,81,94,71,76,70,71,71,79,71,62,62,63,81,72,67,66,69,57,65,66,65,68,68,61,65,61,55,68,131,149,126,61,46,74,71,74,73,72,85,71,83,120,91,86,85,67,71,57,61,60,62,61,65,59,55,56
49,70,84,97,78,63,44,60,61,68,76,78,73,70,67,66,43,64,65,57,56,57,57,61,82,74,37,52,30,54,52,55,54,60,70,46,40,45,96,94,87,97,72,65,66,62,62,57,64,71,47,45,55,64,70,66,72,69,57,85,80,27,77,54,64,64,72,62,61,56,60,72,85,82,84,88,66,55,55,63,60,60,63,74,85,95,81,54,31,54,47,47,95,78,66,71,71,77,79,80,76,78,62,89,90,90,71,48,50,66,66,64,63,61,62,56,51,41,46,50,105,98,117,78,56,62,38,51,76,85,43,69,53,55,65,65,55,60,71,38,90,68,55,65,72,61,64,58,31,22,14,34,89,70,87,76,87,83,71,70,66,19,18,68,65,68,67,54,75,67,65,58,66,29,85,56,67,71,67,63,77,67,58,66,62,64,59,59,46,82,76,93,91,73,77,64,61,74,64,55,60,61,71,74,73,72,70,62,74,68,61,58,61,71,73,65,76,64,70,69,87,75,83,70,89,88,83,83,60,66,63,54,88,121,61,66,78,75,76,76,78,57,53,58,53,35,51,88,72,73,73,70,69,61,69,76
69,64,68,63,60,68,91,110,93,74,48,31,48,50,39,88,76,71,72,64,62,63,70,79,73,75,84,80,79,70,45,24,34,51,64,59,55,58,70,62,60,52,76,67,66,61,65,59,65,61,59,57,64,62,56,45,55,66,67,65,63,69,70,69,78,70,66,70,55,61,56,60,40,43,52,50,50,64,64,57,63,62,60,57,77,69,73,77,81,84,71,45,18,21,59,26,67,85,82,80,62,78,52,51,76,57,82,79,76,66,42,58,67,67,62,68,64,66,52,46,54,53,47,44,49,55,51,76,62,69,47,63,66,49,57,48,66,62,60,68,58,63,71,65,71,71,61,80,70,113,90,15,39,68,95,7,50,78,63,62,57,86,79,68,56,72,64,68,70,71,69,71,65,60,93,93,79,82,88,73,67,65,65,73,62,88,95,95,57,53,93,66,66,75,90,63,70,69,71,67,62,72,63,80,73,77,67,76,69,66,66,67,60,57,62,59,81,69,79,70,76,78,70,57,67,71,66,80,66,65,67,70,65,52,77,87,69,73,69,68,75,66,61,69,59,56,71,66,97,87,69,66,71,69,74,41
67,64,68,68,68,69,67,53,48,55,87,93,78,73,70,67,72,69,71,72,74,34,34,43,42,56,54,57,95,96,94,86,93,79,60,57,63,49,37,43,43,34,65,65,61,64,63,61,58,62,58,55,57,49,56,61,63,57,62,52,50,52,62,81,57,50,95,83,68,76,67,62,70,65,55,58,62,57,46,63,55,53,57,73,42,69,92,86,81,71,72,74,68,74,59,64,79,63,67,49,36,48,60,70,59,83,58,49,57,55,65,84,80,60,34,50,51,55,61,54,64,54,56,56,50,57,55,47,51,59,56,49,53,57,94,86,55,35,43,68,40,50,69,68,47,71,66,46,73,84,62,71,49,55,37,14,56,90,42,76,91,104,86,80,80,60,45,65,71,70,76,70,77,67,66,59,54,56,48,63,78,77,79,70,67,53,38,60,73,96,54,63,74,65,51,62,62,57,78,75,68,66,74,71,62,63,64,64,64,64,72,80,69,68,71,77,57,64,96,92,81,71,78,94,115,76,105,71,68,66,61,65,61,64,69,70,76,72,66,71,64,64,53,69,59,65,60,68,63,57,55,51,51,54,56,89
68,47,65,74,74,66,74,64,54,60,54,48,25,65,61,68,64,66,70,63,68,73,65,59,53,70,72,50,48,47,41,37,36,45,70,80,64,77,78,84,72,60,62,62,65,62,81,85,70,61,64,68,59,63,56,57,60,59,55,63,68,69,38,61,64,96,59,22,69,44,86,65,54,60,71,36,46,56,57,59,55,59,60,66,64,65,61,62,55,55,65,76,89,78,85,90,75,76,64,78,87,85,101,93,73,77,66,73,65,54,59,51,60,84,100,91,83,82,54,32,61,59,60,57,59,60,58,54,54,57,55,52,59,55,50,50,86,59,70,68,72,52,57,51,63,52,64,49,62,71,74,59,64,72,52,68,77,76,101,78,41,48,49,70,90,96,85,78,69,43,61,70,62,66,77,69,64,72,70,56,63,79,69,81,73,71,64,69,60,45,83,73,68,90,86,77,62,68,60,68,73,68,60,67,64,66,69,64,75,68,66,71,73,73,80,93,97,80,83,86,67,68,79,60,73,48,50,77,64,61,72,63,64,70,73,65,68,70,68,59,54,60,63,66,80,58,62,72,69,66,64,69,69,65,68,68
85,74,65,61,67,71,68,70,59,44,85,86,70,62,65,60,65,68,68,67,69,58,29,52,58,71,71,55,62,61,56,51,58,54,51,54,41,71,92,96,104,82,80,69,73,68,45,22,70,63,65,57,67,103,95,77,46,67,59,65,62,64,73,64,56,46,44,85,25,52,54,84,64,57,56,69,91,96,61,41,59,59,56,57,62,60,59,62,59,63,67,59,52,58,55,58,50,47,90,44,48,54,49,53,68,68,76,63,59,72,74,41,57,63,76,66,74,101,74,73,105,73,43,45,53,56,41,33,40,37,42,50,50,51,56,56,45,57,50,46,64,65,58,62,57,36,52,46,60,69,21,43,88,79,28,21,95,85,68,63,56,88,77,89,71,59,65,82,80,72,74,76,59,72,76,81,76,73,68,60,69,87,74,71,71,74,81,81,84,81,69,89,66,65,60,63,63,55,81,68,53,86,75,61,66,68,64,75,72,76,74,69,77,79,91,55,90,102,108,90,64,61,84,80,68,79,93,117,125,50,46,44,60,67,61,64,56,57,61,58,58,54,59,51,73,69,65,59,65,68,67,66,71,69,66,68
64,59,70,67,75,79,67,74,79,75,64,59,64,66,69,60,58,62,66,56,57,56,69,58,59,61,68,61,59,53,51,55,52,55,58,62,61,68,64,60,57,50,47,60,99,91,73,61,70,68,72,63,61,59,55,64,44,57,86,69,65,66,66,66,64,68,77,58,80,72,28,44,58,77,62,58,31,51,68,99,91,37,37,48,62,54,61,58,58,56,54,63,62,60,60,60,63,61,59,57,57,62,60,64,62,71,31,79,69,67,72,72,73,81,58,20,65,45,64,99,90,80,97,105,98,100,97,102,111,93,84,84,68,83,44,38,47,47,41,74,59,29,50,92,57,25,76,35,58,56,63,55,42,24,39,48,83,21,56,76,80,85,65,66,71,73,79,59,32,52,72,69,60,68,70,65,72,68,70,62,67,54,84,92,70,79,71,63,61,59,54,76,64,70,69,72,68,77,72,75,63,38,68,64,67,72,65,68,72,62,65,66,71,71,70,79,47,78,71,68,77,63,69,68,56,60,67,87,71,76,77,64,54,73,80,67,53,62,64,60,55,59,59,59,65,73,71,59,67,64,66,67,64,66,63,66
87,98,72,72,96,84,72,67,63,64,65,78,105,88,66,66,68,67,63,55,57,58,59,34,59,53,66,66,51,61,57,53,59,51,65,59,70,67,64,64,67,67,65,63,58,82,76,76,63,62,73,57,69,68,65,77,58,59,51,48,83,76,61,63,65,64,69,65,69,62,74,76,27,46,52,83,93,100,66,64,41,59,63,71,77,73,69,33,35,49,55,56,61,56,55,64,57,69,65,65,63,64,66,62,69,67,92,98,91,73,69,73,68,66,63,71,59,53,60,56,45,49,57,50,43,46,49,50,57,55,45,50,66,77,101,101,61,64,71,56,64,86,64,35,38,25,92,79,70,71,94,76,84,62,81,76,90,79,35,71,33,60,89,81,72,63,104,49,71,71,93,73,69,69,40,82,61,56,59,41,66,66,73,66,65,70,65,70,67,89,55,63,69,84,91,78,66,70,66,71,80,71,76,69,58,74,70,77,75,68,68,70,77,78,83,101,77,54,70,73,68,62,74,64,57,70,65,55,49,50,47,75,81,68,65,69,75,74,79,84,76,62,55,70,81,64,42,46,57,46,69,68,68,68,67,70
43,54,64,66,47,51,90,78,81,94,83,47,52,55,59,23,69,67,60,58,57,59,60,74,83,75,57,49,33,55,63,57,60,63,59,63,71,64,69,59,61,65,68,63,71,76,75,74,70,60,70,66,74,73,64,90,60,57,55,46,68,62,75,69,59,66,67,75,69,66,64,75,81,72,55,51,45,47,101,91,78,82,59,66,73,56,67,94,116,98,99,106,69,31,38,43,57,59,67,70,73,71,64,63,64,71,64,61,59,60,97,91,71,62,66,68,70,91,99,82,79,78,94,97,97,56,63,63,64,63,60,61,56,57,56,45,55,62,85,111,45,68,59,42,92,79,78,30,43,72,7,12,73,48,77,75,57,86,66,84,82,69,62,96,108,78,82,81,55,64,59,75,102,111,79,73,66,68,71,85,82,49,43,82,55,72,85,77,87,81,88,72,45,47,42,36,39,38,63,80,56,68,68,70,87,92,92,89,77,74,64,72,75,72,71,74,81,73,67,70,64,73,78,67,51,64,55,59,97,83,74,36,43,76,64,66,70,60,64,71,67,59,60,61,61,55,72,72,71,65,71,67,56,71,72,59
77,79,60,51,58,51,51,40,30,58,58,54,63,57,26,71,66,66,68,65,60,62,63,59,58,60,54,55,58,61,55,60,73,61,63,60,65,67,67,65,66,68,69,66,70,75,86,76,66,72,71,60,70,74,64,81,61,59,55,72,68,69,78,80,69,65,63,58,64,71,66,65,72,69,70,53,32,41,51,40,65,58,65,71,45,41,64,53,53,67,75,29,44,47,82,108,114,89,48,53,62,67,65,66,70,66,67,63,65,66,67,54,63,92,67,60,56,58,58,58,62,56,52,59,49,44,48,39,34,44,40,39,51,59,52,57,59,58,60,71,89,88,110,113,99,88,50,82,91,39,31,47,42,44,64,70,81,86,70,68,68,76,63,67,70,76,97,92,86,97,90,71,57,58,72,83,82,74,65,65,69,70,69,66,62,61,80,68,87,85,78,64,77,77,84,81,89,91,93,95,89,76,70,67,63,75,63,32,50,72,83,77,47,49,75,79,81,80,76,68,70,86,94,75,84,74,67,67,55,61,69,83,82,97,87,47,60,58,62,67,66,67,78,73,66,61,69,69,62,49,46,65,58,61,57,62
50,72,69,67,43,48,66,70,67,74,68,33,56,103,93,83,73,70,70,69,68,62,64,73,52,53,55,51,66,74,54,76,36,60,57,68,66,68,65,64,66,70,67,67,66,67,61,100,77,84,68,59,69,72,69,90,59,54,50,75,70,67,72,60,61,75,57,61,66,64,64,67,80,88,66,59,66,56,55,69,59,60,61,67,39,26,100,42,59,49,44,45,51,57,57,51,50,40,51,115,94,51,54,67,65,69,69,64,61,58,62,58,61,61,64,66,60,66,64,64,60,57,51,55,57,73,76,82,74,70,70,62,60,57,74,63,51,70,69,45,75,78,70,56,41,73,84,109,53,64,87,46,57,79,51,82,57,63,70,68,77,70,66,67,67,63,76,72,55,91,91,108,81,90,93,67,73,68,104,77,68,64,70,69,88,101,57,69,60,71,63,56,95,58,52,63,93,73,70,70,67,62,67,74,82,52,111,68,123,127,106,61,45,70,93,112,84,39,48,41,36,40,37,81,92,108,99,87,74,69,28,38,75,74,36,87,68,66,61,72,77,63,72,70,57,69,63,71,73,70,91,56,61,58,62,63
47,51,72,85,94,83,73,74,65,63,64,69,41,49,55,42,49,52,70,60,66,58,61,38,78,66,57,67,56,70,62,73,68,81,50,36,55,66,67,72,67,69,68,69,69,68,68,59,81,61,59,53,72,67,63,91,60,56,68,68,72,73,74,72,70,70,61,88,77,84,79,61,64,23,58,79,90,102,86,69,63,60,63,61,86,75,66,67,23,87,70,72,81,62,37,57,66,61,50,52,38,50,90,123,57,65,73,59,59,56,59,60,63,67,51,97,83,71,72,63,61,60,65,59,49,60,58,53,54,61,60,58,61,65,59,55,61,61,47,70,53,24,65,61,84,61,40,44,58,73,32,43,45,83,75,47,99,80,71,70,68,66,66,68,81,75,65,62,64,69,69,54,58,99,80,86,64,66,60,71,74,65,68,69,40,84,61,67,64,64,68,69,57,68,72,62,70,53,79,53,49,77,98,31,40,94,74,73,75,73,78,78,81,76,68,71,74,95,112,82,83,130,134,77,89,82,59,54,61,63,62,66,77,80,92,89,66,68,80,60,57,57,62,74,57,68,61,58,64,61,62,60,58,49,67,72
53,56,54,48,47,46,44,42,48,79,71,64,66,67,64,74,64,52,64,49,54,54,59,85,71,63,58,64,72,70,65,64,62,64,70,77,76,42,70,56,44,69,54,65,75,66,67,64,69,69,73,75,92,92,90,87,39,53,76,66,70,74,76,71,73,98,103,88,56,45,75,65,69,64,73,46,58,54,47,50,73,85,71,61,86,85,78,57,80,76,61,65,65,64,71,72,29,43,64,61,58,63,62,50,54,113,131,55,63,61,64,61,64,65,60,54,49,64,73,64,60,62,72,79,69,86,56,58,60,54,65,85,88,75,68,59,63,61,80,62,65,72,69,68,56,44,70,47,54,39,86,63,33,86,77,76,39,59,61,59,79,76,69,62,74,85,72,69,70,74,69,72,69,58,41,81,62,82,70,52,85,68,64,59,72,80,68,83,85,81,83,72,45,62,70,69,77,83,71,68,68,72,69,78,75,73,113,82,78,76,68,82,82,72,75,79,75,73,85,88,102,44,47,67,50,48,92,78,84,79,75,72,53,59,73,74,56,50,57,74,70,70,64,53,74,60,62,55,63,60,65,54,50,56,84,68
54,57,52,54,54,53,52,54,55,54,54,51,63,85,86,80,77,57,57,79,78,105,89,75,70,71,68,66,65,67,82,72,68,63,80,58,79,82,80,73,73,71,56,62,56,64,66,74,78,71,43,88,77,75,71,70,74,89,81,84,81,51,42,57,66,48,25,56,68,62,69,65,64,64,66,76,81,39,58,59,53,50,50,38,44,47,45,64,52,53,78,65,64,64,58,58,65,72,74,31,44,55,64,60,70,62,44,56,96,100,52,48,63,60,64,68,65,69,53,88,86,69,77,67,50,31,71,54,89,89,72,45,49,65,56,64,73,59,58,65,80,75,75,74,41,43,61,66,51,101,40,64,73,57,55,65,87,86,72,75,62,73,71,70,70,63,66,63,74,72,64,63,59,67,72,60,60,97,82,88,82,43,57,88,66,58,97,77,63,68,66,61,69,89,94,56,119,95,58,60,50,105,80,74,87,74,68,69,45,77,93,69,81,80,103,86,73,73,49,48,60,67,59,36,38,49,53,54,63,51,59,51,69,71,55,62,69,63,66,70,59,53,57,80,72,96,63,56,65,61,71,49,80,70,55,56
55,55,53,54,52,51,54,52,57,53,55,58,55,55,49,47,36,57,52,38,52,49,48,52,78,69,73,54,57,58,59,66,63,63,72,59,71,52,63,65,70,83,54,59,89,77,87,78,30,70,72,69,76,71,69,70,67,71,69,69,69,73,71,74,73,76,82,85,100,70,66,66,63,74,73,73,69,78,76,72,44,57,62,56,55,53,60,60,59,54,59,74,85,86,75,63,58,66,58,68,85,72,45,17,63,60,67,65,62,48,91,115,85,60,64,65,65,63,65,63,59,67,81,64,70,92,46,39,46,53,54,61,62,61,62,52,54,56,57,50,58,70,100,54,58,68,55,64,82,66,50,36,29,84,107,67,101,78,70,60,73,65,70,68,74,67,68,67,72,68,66,67,66,62,70,70,68,57,66,59,95,77,78,58,57,57,60,61,58,62,68,76,68,74,79,78,53,59,56,57,79,128,65,139,103,67,75,75,79,77,57,87,82,71,64,37,76,80,73,93,107,78,80,83,62,65,77,71,58,65,74,66,83,57,63,56,61,57,55,54,59,55,70,74,40,44,38,92,63,40,82,75,73,63,64,60
48,39,44,49,52,55,55,55,55,54,56,55,49,36,30,70,80,71,60,58,57,38,59,51,66,55,56,57,56,56,64,84,57,65,52,62,63,55,63,56,60,71,51,56,71,66,67,66,71,74,51,28,72,70,63,61,63,70,72,73,74,82,90,90,68,90,104,100,102,89,95,92,77,76,78,78,72,70,61,61,59,77,71,56,43,53,61,62,54,53,59,61,54,54,48,67,83,80,65,72,63,59,56,68,59,70,40,57,63,67,42,45,60,122,107,75,36,38,54,67,71,74,56,73,63,63,68,59,79,51,56,55,57,58,62,66,63,64,58,60,58,57,67,76,77,34,53,56,53,66,60,76,69,61,64,57,106,96,89,71,62,76,65,72,60,64,72,74,75,71,66,67,66,69,70,63,68,75,73,68,61,76,66,80,73,81,64,61,67,69,68,64,63,70,105,96,76,103,53,59,73,70,79,84,74,72,126,70,56,71,73,69,67,62,72,76,83,70,77,86,81,83,65,57,55,60,54,48,49,49,52,54,57,60,44,54,53,54,54,50,53,57,63,68,68,70,75,82,48,47,61,62,67,62,63,57
54,61,66,74,64,52,38,61,53,45,46,33,79,62,64,60,58,60,81,70,93,63,62,60,59,58,54,63,72,61,60,62,68,69,63,48,58,52,59,57,65,68,32,92,72,72,67,68,63,66,87,86,102,100,87,81,70,63,61,70,72,59,67,50,42,57,69,69,60,63,60,60,54,50,44,49,84,110,94,74,72,66,81,47,60,97,95,114,60,57,57,59,58,57,58,54,52,38,31,22,42,63,86,65,66,62,67,83,32,59,57,58,55,47,42,43,84,81,74,74,94,67,52,66,65,65,64,65,59,41,53,59,58,59,58,59,61,62,54,59,64,87,60,62,67,64,56,30,75,81,76,44,63,76,67,100,59,52,50,84,86,75,68,35,51,52,39,43,51,55,68,70,72,70,70,68,65,66,69,73,53,74,61,66,71,67,71,81,50,60,79,72,67,69,79,80,69,64,78,91,103,65,50,50,69,68,80,65,97,121,126,113,86,79,79,69,68,75,71,62,68,60,57,62,55,61,53,49,53,55,53,51,56,46,55,52,52,54,51,49,64,61,66,71,67,67,62,63,67,89,64,55,47,50,55,49
61,64,58,60,72,69,64,64,65,78,77,63,60,61,57,60,59,59,57,52,46,42,65,63,78,77,85,55,41,61,61,49,53,65,71,66,63,54,60,56,51,62,63,68,62,64,68,63,65,68,36,63,63,64,52,49,51,63,91,77,74,80,75,64,65,71,62,61,68,63,62,68,56,61,61,61,63,56,48,89,77,71,71,44,53,35,69,46,55,57,57,42,53,45,58,57,54,60,59,57,59,55,54,85,68,60,68,75,77,88,74,27,21,36,56,52,45,36,44,106,94,63,77,63,60,55,64,63,56,65,42,39,58,60,57,65,61,63,56,58,64,67,62,50,73,88,46,84,95,29,71,18,82,85,83,92,69,60,48,70,108,71,65,71,82,90,65,70,83,91,55,47,69,67,68,72,70,65,74,69,98,74,54,67,60,67,81,70,76,79,97,71,61,107,77,70,84,128,124,116,98,91,108,80,76,73,77,106,71,65,63,81,75,69,78,88,110,77,87,73,80,84,94,97,85,68,78,82,77,70,64,63,61,71,67,86,69,73,72,72,67,54,62,65,66,70,69,62,65,65,62,57,65,69,77,81
75,63,62,57,60,69,66,60,61,64,60,58,60,60,57,57,57,60,69,68,89,82,63,57,57,56,48,51,68,73,82,72,79,68,74,69,65,64,66,58,47,54,54,51,56,64,65,63,59,59,64,76,50,73,65,70,64,59,52,51,38,48,72,101,86,63,67,74,52,55,68,68,64,62,62,65,61,63,60,53,53,68,79,75,81,81,67,33,38,41,45,79,56,86,39,54,54,58,56,55,62,59,57,53,89,70,67,67,69,68,63,64,72,85,21,20,26,38,52,45,35,41,92,99,110,72,58,61,57,57,69,79,39,43,57,58,56,63,68,65,58,60,76,48,96,96,46,60,67,83,69,11,48,53,43,47,96,78,79,45,36,48,75,98,42,40,88,86,94,74,70,72,49,63,62,67,70,69,78,70,61,54,54,55,67,79,69,77,72,66,78,76,77,76,89,49,33,65,92,99,91,80,76,65,66,61,75,80,76,61,69,43,70,65,48,38,51,72,67,73,75,70,57,61,65,58,62,65,74,60,76,40,69,52,52,36,45,47,42,69,64,91,83,95,81,73,70,70,67,61,58,59,63,62,59,64
56,63,64,72,71,87,85,81,68,64,64,60,53,55,61,56,58,65,32,44,39,40,77,56,68,70,64,69,56,57,60,59,62,75,70,65,70,84,68,71,64,58,51,54,52,57,63,56,56,63,56,62,72,63,65,70,71,63,56,96,65,62,63,59,51,76,91,77,71,75,68,66,67,65,62,63,60,60,64,64,62,57,68,68,67,64,60,58,66,71,71,57,82,57,72,73,39,54,58,59,59,57,63,68,55,84,73,76,66,58,67,62,64,61,75,75,77,80,31,24,24,8,10,19,8,69,79,60,53,57,53,57,57,78,87,91,60,43,37,50,59,53,71,55,88,58,48,84,71,74,37,43,57,64,70,62,61,57,91,86,74,75,55,40,61,56,74,75,57,90,67,61,70,89,53,53,52,48,76,68,55,51,49,55,123,67,99,68,84,98,73,76,77,69,78,81,79,79,76,79,80,70,62,69,65,86,71,66,61,69,81,56,65,62,62,70,62,59,80,68,67,68,60,68,60,65,66,60,70,71,65,60,62,58,58,69,49,50,61,77,64,57,54,58,53,63,112,105,82,73,69,70,68,64,59,55
71,65,58,61,61,60,68,68,67,64,82,83,61,63,55,56,57,58,63,60,79,111,49,50,54,58,51,63,68,71,69,70,71,67,67,73,83,52,79,65,64,59,51,54,48,54,58,59,58,52,61,66,82,30,94,77,52,59,63,49,52,66,68,68,67,81,66,62,69,82,74,71,73,52,32,46,60,67,63,64,60,61,60,56,92,110,67,66,94,74,60,66,65,70,72,66,68,61,50,55,44,41,67,63,57,73,70,72,69,61,59,65,62,57,66,79,65,60,65,79,95,82,84,88,106,71,83,53,56,60,61,60,53,61,58,51,65,61,65,71,73,56,63,77,51,39,60,41,95,69,78,119,78,76,83,71,69,68,73,53,70,63,65,73,89,47,61,61,66,58,69,100,95,71,72,68,74,70,64,66,71,64,69,70,34,81,72,85,87,82,90,68,71,79,82,85,90,69,75,96,78,62,58,74,58,85,66,64,69,63,69,54,58,61,62,67,62,64,64,71,67,72,63,67,57,67,59,70,71,69,76,49,64,64,60,60,65,59,58,57,61,60,59,52,68,61,54,55,49,72,41,77,106,79,57,60
63,59,64,63,63,56,60,52,48,56,55,53,40,66,64,56,59,54,67,57,59,44,51,62,53,56,55,62,66,72,69,67,74,69,73,70,66,70,73,73,66,70,63,60,64,68,59,63,57,63,64,62,59,57,67,71,60,68,71,73,66,66,60,64,65,82,65,68,71,61,55,75,69,66,88,79,73,45,61,59,62,64,71,67,66,50,56,51,92,59,55,65,66,65,68,57,62,67,78,49,71,79,84,74,63,52,68,69,64,73,67,61,62,68,86,59,62,98,73,74,65,102,127,102,92,101,94,86,80,108,67,59,53,59,63,62,62,52,56,56,57,60,59,58,84,51,52,67,37,39,30,40,71,69,68,74,67,71,69,86,83,86,76,72,63,71,84,92,81,52,67,68,56,57,78,92,95,101,102,92,108,79,78,68,94,92,73,74,89,87,92,79,75,82,75,81,74,79,81,80,87,76,86,82,72,68,69,70,68,66,71,54,66,62,62,65,62,67,64,69,71,62,73,63,70,70,66,69,72,74,71,65,59,63,73,60,57,66,57,61,58,56,56,60,63,65,60,61,62,62,74,57,51,45,41,73
74,61,65,64,68,77,95,87,96,91,90,86,89,51,85,85,84,81,84,106,86,83,84,44,54,50,57,54,65,68,65,69,72,70,67,70,68,69,79,82,72,42,70,69,82,85,62,64,84,80,63,54,57,54,64,66,72,61,57,51,62,44,49,36,89,66,68,71,70,67,70,61,52,58,96,85,85,93,60,67,65,65,72,74,68,64,66,64,56,58,103,83,62,57,55,66,62,62,90,84,86,71,70,71,73,94,70,78,85,71,72,67,66,74,53,55,63,53,44,64,50,55,51,51,46,48,46,45,46,44,52,108,66,60,94,64,51,52,57,54,58,59,58,78,61,59,65,60,52,66,72,71,54,48,48,71,62,74,70,58,45,63,57,71,66,61,60,68,62,68,84,59,54,59,70,70,69,72,73,68,75,70,64,58,58,63,75,90,102,106,132,96,104,92,101,63,80,126,91,79,95,107,103,87,83,62,74,62,54,57,65,66,68,63,65,63,64,68,72,70,67,73,66,64,66,65,71,66,69,74,78,60,59,48,21,51,52,51,50,32,43,38,40,32,54,30,30,34,28,46,59,72,58,60,62,58
65,77,93,83,88,85,29,44,57,69,67,67,66,71,56,52,54,65,50,62,90,63,93,112,97,71,42,34,65,69,69,71,70,74,78,88,72,51,55,56,59,58,71,60,60,54,89,90,58,70,70,52,56,51,62,59,66,65,51,53,63,78,103,116,63,61,69,75,68,66,64,65,67,62,65,79,71,105,94,79,38,63,66,72,69,70,73,68,70,70,65,60,56,98,63,80,71,58,60,53,80,67,72,71,77,71,74,30,47,85,76,80,63,64,50,70,72,66,63,55,64,64,65,60,66,61,59,56,51,52,44,63,59,53,42,57,105,66,70,60,69,54,51,54,50,56,54,41,41,64,46,61,77,71,70,83,82,93,88,49,82,71,71,71,81,86,87,74,74,68,65,65,72,88,52,48,64,75,78,92,84,78,75,82,74,76,76,75,76,79,84,84,87,75,81,75,76,67,48,43,51,51,51,48,51,77,66,58,61,63,72,37,44,54,67,64,64,64,68,65,61,73,66,62,67,71,71,72,71,77,66,68,56,83,66,77,74,63,63,58,63,61,57,73,67,65,72,70,72,68,78,78,53,67,88,31
61,64,58,53,59,63,65,69,73,83,84,64,91,98,52,109,90,80,88,95,76,63,59,67,64,72,72,81,73,52,66,72,93,73,54,59,57,65,63,64,59,53,74,68,65,64,63,66,73,65,72,75,66,78,76,32,55,69,70,66,61,61,40,53,30,87,68,46,66,64,62,69,67,67,62,64,52,43,43,59,111,98,67,44,66,68,68,68,75,73,72,68,69,62,58,45,79,60,95,106,84,71,65,50,62,70,77,69,66,58,89,69,62,61,56,57,66,66,69,59,56,59,62,64,66,69,58,52,49,53,58,57,48,45,55,51,59,48,52,51,93,87,65,48,46,60,69,65,35,69,67,58,61,65,71,74,79,66,76,77,54,55,65,65,91,56,60,73,65,60,80,61,103,72,69,73,73,79,77,81,86,82,81,77,76,81,78,78,83,80,80,80,78,83,76,70,69,74,69,75,70,67,71,63,63,53,50,47,106,111,116,93,71,86,98,103,106,92,36,32,53,71,55,47,46,55,65,60,48,52,66,59,61,65,62,60,60,62,65,60,54,60,61,62,65,68,85,91,74,68,62,71,54,56,61,78
69,74,103,68,72,77,65,59,58,58,58,64,67,61,58,52,53,59,58,53,61,57,83,88,62,66,90,99,92,78,73,74,42,51,61,64,62,59,58,64,60,62,75,56,85,63,68,68,72,92,78,75,72,87,63,63,81,64,66,66,62,60,61,68,46,44,47,78,51,66,71,70,63,66,65,53,56,58,54,52,53,53,77,93,79,45,61,70,68,67,72,74,70,69,77,84,48,49,42,42,85,76,82,86,82,84,66,66,57,42,78,69,64,53,60,77,56,67,68,65,65,54,62,60,58,63,70,60,56,54,47,54,50,53,51,58,65,62,59,75,64,67,42,60,80,92,72,62,46,54,81,71,49,50,42,85,106,109,99,95,95,77,82,77,66,79,70,81,69,66,83,51,64,86,76,72,60,70,91,75,49,101,94,89,58,69,79,80,78,80,75,88,73,67,67,68,66,61,67,73,82,75,70,65,71,81,49,55,51,48,48,47,63,59,61,61,61,66,63,61,66,84,103,97,106,98,74,71,71,72,68,62,63,62,76,93,88,70,67,77,85,95,82,45,82,38,55,58,53,55,99,82,58,56,67,42
74,77,58,34,48,51,51,60,64,81,75,85,94,87,81,60,74,54,50,42,47,62,60,61,58,53,69,40,48,63,89,67,70,90,71,37,41,62,61,58,62,62,118,61,63,70,68,72,67,67,65,96,80,53,65,66,50,68,50,60,55,60,67,62,52,58,63,57,65,53,47,72,53,49,64,59,57,53,57,59,59,63,58,64,65,74,78,79,42,48,69,72,71,71,67,80,88,69,93,57,91,62,63,97,44,54,73,62,66,79,67,66,65,62,62,67,58,57,70,70,65,57,61,59,63,61,66,60,51,59,54,64,64,51,57,68,58,50,60,48,57,58,56,57,52,41,30,58,87,127,94,95,55,73,70,57,67,61,60,60,54,44,46,65,81,87,124,119,120,99,80,87,57,60,48,69,114,102,82,86,77,69,66,67,81,84,90,108,104,48,67,89,62,75,65,64,57,62,66,72,80,94,99,55,49,57,58,61,54,54,56,103,72,63,65,64,60,65,67,60,57,51,44,31,39,77,72,71,68,70,67,60,57,62,54,54,62,48,45,56,63,58,84,67,65,86,57,62,65,70,63,62,69,65,66,57
38,59,60,62,81,90,100,103,113,101,77,87,54,41,41,45,48,60,74,73,46,67,82,53,57,62,63,56,72,90,45,49,75,77,39,79,79,83,54,48,57,54,59,62,67,70,72,65,74,68,67,61,55,96,84,70,85,68,64,62,63,59,55,87,67,59,65,62,68,77,77,68,71,70,57,68,74,76,75,80,87,55,56,70,72,71,61,83,101,89,54,43,66,73,68,74,74,61,57,63,56,42,46,76,74,77,70,74,65,69,58,56,68,58,61,62,67,80,91,69,76,31,48,54,58,64,63,67,66,57,52,56,62,62,70,61,63,52,56,65,60,54,64,63,65,69,115,76,89,70,61,47,72,70,75,67,74,77,69,74,73,74,73,66,69,65,61,57,55,43,73,83,79,53,78,75,69,51,50,120,113,126,103,113,97,85,82,88,93,95,117,69,40,42,45,65,61,70,66,45,46,54,59,65,62,62,60,60,55,54,50,46,35,51,85,67,60,59,51,59,58,57,66,60,74,68,65,69,73,70,67,68,63,74,51,59,64,62,68,59,66,93,63,66,71,67,99,76,55,45,49,49,56,63,69,81
78,82,75,70,44,35,54,50,46,56,60,54,50,51,54,61,72,81,87,93,80,74,66,56,65,83,91,59,43,46,72,72,81,81,28,53,97,103,69,74,90,69,61,65,74,73,71,64,70,55,68,71,67,60,64,60,65,90,95,82,63,65,71,60,54,51,79,66,67,66,57,61,70,73,68,71,73,70,65,61,64,27,47,58,72,72,73,60,54,50,88,96,88,45,46,65,55,58,56,57,60,60,63,52,75,87,64,75,67,80,70,65,63,60,61,58,62,63,67,80,86,115,128,128,83,48,67,66,70,60,56,56,54,59,60,61,63,66,43,55,65,63,62,58,46,59,47,53,64,63,65,73,64,68,71,72,72,65,69,68,64,73,75,71,73,74,70,79,79,70,74,53,48,65,78,73,75,79,78,65,53,59,48,48,49,43,86,64,98,96,90,92,110,123,102,102,74,58,73,65,57,62,60,58,61,57,60,54,53,53,55,54,55,45,70,60,57,57,51,52,67,72,69,69,69,71,63,70,69,73,74,74,91,48,58,67,63,63,61,86,61,70,70,69,72,66,61,87,72,71,76,86,85,81,69,55
70,64,55,63,56,63,67,77,64,76,85,79,52,53,76,67,63,35,57,57,60,56,79,95,74,85,89,72,84,88,83,67,67,40,80,98,73,39,59,62,63,62,68,78,79,60,38,83,65,66,74,60,67,70,72,68,69,67,52,73,64,70,58,54,80,69,75,14,58,60,55,62,65,62,57,66,68,65,63,63,60,66,76,54,63,63,58,53,60,61,58,53,48,57,88,99,61,38,49,60,58,54,70,66,67,56,49,98,58,79,64,67,85,90,38,82,80,75,72,74,45,47,49,41,28,61,64,67,68,68,62,64,56,53,56,55,53,42,65,65,67,60,57,49,69,56,48,32,64,56,66,72,77,71,70,69,70,71,78,71,64,68,69,76,75,75,68,78,80,72,76,66,70,83,83,77,76,76,73,75,74,80,79,76,77,80,71,72,61,71,76,82,64,56,85,70,79,97,98,111,51,67,67,60,59,55,52,50,52,52,51,56,62,62,44,90,71,67,60,58,63,72,68,70,68,68,61,69,77,54,47,84,37,59,59,64,57,73,77,70,65,68,66,68,72,68,70,65,73,67,70,65,72,52,87,63
68,67,63,57,61,49,54,60,67,63,64,62,62,67,64,65,46,75,81,64,40,60,62,56,55,77,74,35,78,99,84,71,75,65,61,74,57,83,90,64,62,60,57,64,91,95,94,78,65,60,63,72,46,56,67,73,75,46,76,65,65,64,69,75,91,92,90,87,53,68,60,65,62,64,62,58,56,67,58,56,60,64,66,83,71,64,63,75,39,36,50,58,59,58,59,50,48,56,99,96,45,52,58,60,62,65,60,55,47,92,63,64,71,60,82,59,67,86,114,80,26,57,65,43,81,69,67,66,65,70,67,64,59,57,84,61,51,57,64,56,57,61,58,62,86,66,67,52,102,78,69,73,62,74,73,74,75,68,72,78,77,67,66,71,73,76,76,76,71,72,82,74,72,76,83,74,82,82,72,73,74,67,83,76,81,73,73,68,71,85,73,53,86,66,53,75,78,78,64,62,108,123,64,28,49,51,52,58,58,55,57,70,67,63,59,55,42,96,111,69,62,67,65,60,55,57,57,55,65,69,73,64,78,65,63,63,95,66,67,69,71,70,68,72,71,70,68,74,81,70,67,69,68,70,62,60
74,73,71,70,73,66,68,67,65,73,69,69,61,66,63,53,56,76,66,58,61,55,42,39,51,57,59,60,67,92,40,31,72,74,60,62,68,84,76,57,77,67,58,54,55,62,62,55,82,77,72,65,65,66,76,52,52,76,66,64,65,72,68,71,70,79,53,61,118,70,70,70,70,67,65,61,56,65,66,59,60,62,60,60,64,63,66,64,69,66,77,60,61,38,59,43,54,55,57,53,49,63,96,56,50,60,63,67,70,68,47,89,53,67,65,71,75,18,19,40,99,66,47,70,56,62,51,67,67,66,71,65,61,65,53,51,56,55,60,59,61,61,57,63,77,71,54,94,73,67,69,71,64,55,56,63,91,63,60,92,81,85,58,75,83,91,87,77,71,71,78,85,63,67,77,75,65,67,67,84,68,69,76,74,71,72,71,67,64,64,72,76,55,66,58,86,78,74,74,75,79,79,83,57,72,36,38,54,54,60,64,60,76,72,64,57,52,50,50,74,67,74,72,68,60,53,59,61,66,66,77,57,62,59,72,47,37,45,49,55,67,68,69,67,69,63,67,90,80,68,71,72,66,75,46,63
72,75,78,72,76,76,71,72,76,76,70,75,75,67,74,58,60,57,83,82,77,67,62,67,63,61,37,44,53,57,51,55,66,81,70,67,75,56,64,58,59,41,73,95,68,47,56,72,71,55,51,75,79,60,51,63,71,63,66,71,70,68,65,70,70,67,77,69,56,60,65,79,91,71,75,69,72,61,58,59,63,67,58,63,70,57,61,60,66,61,64,72,60,78,70,75,86,81,79,63,40,48,49,46,44,49,53,59,65,58,56,62,61,104,62,69,78,89,96,69,16,38,71,57,58,56,60,56,70,66,81,80,61,52,58,55,55,55,58,60,61,60,63,58,63,82,38,82,76,80,80,70,69,114,102,96,93,91,72,26,73,66,89,95,50,69,77,73,59,43,72,53,64,45,44,66,51,49,38,45,66,55,72,82,61,59,68,70,64,64,53,71,38,31,32,76,78,73,75,74,75,90,44,81,76,83,84,63,38,50,66,73,73,72,66,59,55,65,47,102,87,71,74,116,105,102,102,71,74,66,63,57,61,84,84,74,79,76,72,77,48,68,69,70,67,74,63,51,78,63,66,69,74,73,52,71
67,74,80,72,76,77,75,76,77,76,76,71,75,73,73,61,60,60,57,54,50,55,71,90,91,68,67,68,72,42,55,62,64,61,57,72,86,64,77,65,56,58,58,67,49,69,93,99,49,72,66,67,57,49,74,67,60,70,83,72,70,60,72,71,66,74,57,64,64,67,69,49,71,91,45,46,46,67,65,64,64,64,65,62,68,64,73,71,60,55,59,60,80,65,70,67,63,63,60,59,64,68,66,43,58,66,65,60,62,62,62,63,59,62,59,106,58,60,65,66,68,69,66,50,54,53,59,76,110,72,62,65,76,53,56,60,63,53,59,68,66,61,56,62,62,75,45,89,71,77,64,69,75,69,61,56,40,51,46,104,103,86,81,79,80,98,90,125,99,70,70,79,77,88,85,114,89,79,80,94,121,99,115,125,114,105,117,109,110,114,42,64,62,69,73,75,67,63,68,72,89,46,85,75,76,84,63,79,78,89,92,81,47,44,48,45,60,61,63,57,51,47,51,63,64,62,53,44,62,65,75,71,60,74,72,65,67,71,74,69,82,49,69,61,67,86,70,62,62,63,56,73,66,88,66,66
59,57,63,66,68,72,73,72,69,77,74,73,74,77,54,57,59,59,59,65,60,63,57,62,57,60,53,84,75,65,69,50,67,55,41,58,62,62,93,71,79,86,66,54,48,65,80,42,73,94,46,63,67,66,63,53,46,59,83,82,72,62,71,73,64,61,51,51,57,60,72,55,42,51,58,66,54,76,59,65,65,58,63,61,63,62,62,68,60,65,64,60,70,73,59,57,54,66,64,63,58,60,62,63,68,54,39,63,64,66,60,66,62,58,67,55,76,95,54,69,62,71,72,63,45,53,49,51,83,64,72,61,77,78,55,55,59,53,42,45,40,44,48,57,59,52,83,56,64,84,71,80,78,72,77,79,71,77,69,63,68,107,89,74,66,71,66,71,76,73,77,86,111,88,61,81,117,114,104,89,89,80,74,70,55,65,72,71,76,70,68,58,60,64,61,53,58,58,62,47,27,84,66,66,69,78,64,80,74,64,61,62,57,61,72,71,75,40,49,53,37,39,72,70,65,82,95,38,33,70,50,56,67,66,72,73,75,70,73,65,67,58,62,77,85,68,63,65,61,65,59,57,65,66,29,62
71,66,63,69,63,57,64,62,70,71,70,74,72,71,47,56,66,62,62,64,61,59,60,69,68,66,68,63,54,73,87,80,79,62,66,70,40,52,66,55,66,80,64,68,81,69,49,64,91,40,70,105,79,43,69,68,59,62,61,73,86,82,82,54,53,90,79,75,67,76,64,57,78,71,64,73,73,60,55,56,65,53,62,64,61,59,61,66,58,63,64,66,69,65,66,67,58,57,59,63,55,79,75,68,53,60,66,60,37,65,63,60,61,61,62,65,70,50,72,88,75,64,56,58,67,73,62,66,60,34,47,53,72,66,49,90,74,115,89,74,79,81,85,119,55,90,57,79,82,91,55,76,82,76,69,77,72,79,85,77,72,65,63,83,76,74,74,70,70,70,83,90,34,63,74,61,50,52,62,68,62,46,56,54,84,68,83,86,81,66,68,69,67,66,75,64,59,50,52,62,75,75,81,77,76,70,53,61,68,50,77,65,78,63,55,57,53,63,61,58,88,64,55,68,69,62,84,81,70,51,110,24,66,60,66,77,68,66,67,64,68,72,67,62,69,71,73,65,47,55,69,75,75,95,93,76
55,73,100,105,68,86,68,65,67,71,74,68,65,66,67,49,55,57,58,57,61,62,67,65,73,68,66,71,72,67,62,55,59,79,81,65,61,78,74,49,46,55,42,71,61,50,60,102,75,52,77,84,48,73,89,50,57,69,69,58,46,63,104,103,67,55,57,56,60,90,87,71,70,66,67,71,89,84,63,58,53,62,55,63,62,67,59,59,64,64,63,72,64,58,64,64,67,63,89,80,72,52,42,68,70,69,52,68,75,37,59,68,63,61,62,63,65,65,69,42,71,68,79,77,68,53,56,69,67,69,83,91,77,83,74,63,72,52,54,58,53,51,54,70,98,71,106,75,80,76,88,93,75,59,61,71,78,80,67,71,71,63,67,60,72,74,65,67,68,77,85,70,79,69,70,82,93,76,65,62,69,66,66,87,73,72,65,65,64,60,65,67,75,78,88,93,80,63,52,49,85,73,75,68,58,59,62,74,71,57,51,47,55,65,48,45,38,38,63,50,28,36,55,71,71,75,57,59,63,57,47,34,39,66,112,97,74,72,68,69,64,69,72,73,68,70,74,38,53,47,62,69,69,62,60,65
73,70,67,63,69,66,63,72,92,98,89,75,93,65,64,65,78,79,68,55,42,48,64,67,71,68,74,73,67,67,70,71,70,68,56,67,77,73,66,66,71,65,82,67,71,69,69,41,65,73,84,48,72,81,45,64,107,90,53,73,72,61,53,64,85,93,89,56,46,54,62,54,85,59,74,65,51,55,61,87,86,72,71,70,78,86,69,68,65,60,59,59,61,59,63,59,64,54,54,51,56,65,71,57,75,75,67,70,56,72,90,73,36,54,62,53,62,68,78,92,75,73,62,74,63,75,64,62,70,64,69,60,67,75,73,69,49,51,44,53,61,61,64,61,61,22,51,37,51,76,76,85,70,77,90,74,55,66,63,85,90,87,98,54,32,77,69,69,75,80,74,73,73,69,74,79,76,62,35,59,68,78,69,85,65,61,70,73,72,73,73,76,71,62,80,57,51,44,63,67,67,76,65,57,55,57,64,81,60,95,78,67,103,75,77,67,72,77,97,82,73,75,83,72,73,36,34,28,84,28,47,46,47,56,53,48,102,87,75,71,72,67,66,69,69,69,73,68,74,80,88,70,45,41,58,65
67,51,68,74,70,72,70,70,67,65,65,72,62,64,81,69,73,70,67,68,65,68,49,44,52,64,71,72,69,75,70,69,70,70,79,85,75,69,67,67,75,71,71,66,65,69,69,75,83,41,55,65,99,78,57,84,45,53,83,96,53,71,76,63,71,60,64,82,75,74,81,58,49,55,35,31,62,69,74,69,60,59,55,50,47,50,79,88,95,87,101,82,63,64,65,63,63,77,56,52,68,62,86,71,67,67,85,67,60,67,61,73,70,86,38,51,66,60,67,54,63,79,72,77,70,61,55,67,66,71,64,68,68,66,74,75,65,66,66,77,77,57,60,82,105,52,64,67,78,63,58,45,85,76,73,78,99,92,83,65,67,68,70,74,83,72,78,87,77,73,74,70,57,66,89,97,92,85,96,102,119,120,53,66,65,83,62,73,73,67,75,70,74,79,55,65,63,74,68,72,70,68,81,70,66,54,72,29,65,64,58,53,48,47,73,91,97,100,94,80,74,73,45,52,63,60,100,92,80,83,87,108,104,78,42,26,46,44,74,77,70,66,73,70,70,69,70,67,71,70,72,67,75,98,109,90
82,79,78,44,63,67,70,70,68,68,70,65,73,70,53,58,77,93,84,83,83,77,72,72,77,86,48,58,64,71,68,73,68,68,63,79,74,75,71,75,69,67,72,74,70,70,85,77,72,72,85,62,46,65,64,94,43,93,48,54,53,100,101,99,107,45,38,51,71,69,64,68,76,53,59,62,84,68,46,45,58,72,72,68,68,62,65,62,59,41,43,50,66,69,64,62,63,49,69,77,72,43,53,81,70,62,47,63,66,59,65,63,69,73,65,63,57,63,60,63,57,60,68,88,83,75,62,65,62,58,64,71,72,88,69,79,59,55,65,68,75,42,61,55,92,100,57,90,75,81,88,63,121,100,84,62,66,53,89,84,79,67,57,43,81,64,67,71,67,73,72,68,69,79,23,25,35,51,52,44,64,91,105,126,88,77,60,60,68,74,72,75,76,54,63,60,78,72,72,72,69,68,70,72,66,73,69,79,73,35,30,27,41,67,67,67,55,58,47,21,24,70,58,46,63,66,48,50,60,62,55,74,66,68,67,94,91,67,51,72,69,69,76,70,71,70,74,70,69,70,71,73,87,50,50,51
86,67,72,66,76,83,53,44,40,47,41,51,69,72,65,66,70,62,65,66,63,68,81,76,63,65,71,76,82,76,44,42,38,50,39,77,76,74,76,70,71,74,70,67,64,73,69,74,70,74,67,73,81,80,49,60,56,80,62,67,96,43,53,59,50,84,94,71,70,69,70,65,64,56,52,55,56,60,67,71,78,89,47,131,82,72,60,69,60,60,54,56,58,91,69,65,62,59,67,53,56,67,64,80,41,43,63,63,71,77,73,62,47,63,60,74,71,77,78,42,39,51,69,55,56,55,62,74,62,65,73,70,57,56,66,101,82,91,64,58,63,68,62,95,54,50,75,75,79,73,79,92,60,67,77,84,78,90,115,97,83,99,104,101,79,90,67,69,73,70,83,65,69,72,76,66,80,39,54,67,54,62,61,42,87,98,81,90,89,73,68,77,68,52,38,73,67,65,67,67,66,74,70,66,67,62,56,58,57,60,63,60,67,85,91,95,92,82,75,68,65,51,80,30,42,69,68,64,61,65,73,66,71,67,71,67,61,59,93,84,82,72,71,71,69,70,71,72,73,73,75,44,57,71,73,70
68,66,63,70,63,64,51,49,51,58,68,76,74,50,56,64,73,70,63,67,71,62,68,60,75,63,72,67,60,57,65,72,61,69,66,67,56,65,66,69,74,71,72,66,70,74,68,65,62,62,81,73,76,72,77,70,57,68,68,81,63,65,92,82,57,44,58,57,72,85,58,72,65,54,60,51,55,53,57,55,61,61,63,39,68,66,72,59,69,66,68,56,67,54,87,93,100,80,65,58,62,55,52,56,55,73,71,66,72,52,51,83,71,60,61,66,68,66,83,77,70,71,67,75,76,67,31,56,58,67,71,64,47,41,57,78,67,50,65,85,71,71,102,65,71,51,87,79,86,94,98,64,81,89,79,80,52,51,73,45,90,76,79,89,75,44,85,70,74,75,59,57,69,73,65,66,67,72,88,79,83,82,102,94,50,41,46,57,54,54,73,91,106,91,66,68,64,58,63,71,50,63,64,66,62,56,57,64,60,60,58,60,61,70,65,65,60,63,58,60,64,77,46,27,50,63,78,52,80,72,69,72,67,68,69,65,64,67,69,67,64,63,86,77,71,71,74,72,76,70,72,48,60,60,60,61
62,59,66,62,64,76,57,51,51,54,61,69,75,73,79,76,75,59,42,51,60,67,64,82,62,67,57,58,59,59,59,63,73,78,67,66,61,63,63,61,59,59,61,65,72,70,76,70,69,64,69,56,67,67,66,66,78,81,50,56,64,89,66,57,53,64,90,57,57,54,60,52,66,61,71,64,62,61,57,56,66,68,63,66,75,91,40,96,92,41,79,65,57,64,63,56,48,52,63,83,61,62,78,72,60,66,78,72,63,43,53,76,78,73,59,88,75,68,23,54,99,65,56,62,56,70,64,64,61,65,62,66,75,73,73,53,63,66,55,48,80,96,71,51,78,56,90,91,111,102,114,87,99,63,76,71,62,66,108,85,81,77,70,61,73,80,36,58,66,73,53,59,64,72,65,97,113,63,89,80,72,59,62,70,65,66,75,82,86,69,34,57,38,38,60,87,85,65,69,60,75,67,77,77,74,68,72,59,56,60,59,59,57,40,44,49,52,82,58,71,90,71,61,72,80,89,72,72,55,60,60,66,66,69,72,70,74,68,63,66,70,66,70,69,96,72,76,72,75,109,68,65,62,56,52,51
68,64,66,66,76,57,66,53,50,56,60,68,66,72,65,64,67,69,74,84,80,87,83,79,77,74,70,69,81,77,65,60,38,70,62,59,67,89,93,78,63,71,70,74,54,63,64,53,64,67,72,58,60,77,66,67,69,65,72,73,46,56,60,58,69,93,110,102,91,98,119,63,56,66,71,62,67,65,71,77,72,69,67,64,67,65,61,65,66,73,75,75,53,69,66,76,71,58,64,69,53,94,96,77,74,53,58,66,70,78,87,81,47,76,73,71,22,71,73,68,59,49,74,75,54,64,69,76,86,70,61,62,70,69,60,69,68,67,55,55,52,48,61,91,94,85,71,84,80,69,65,68,63,66,64,70,70,62,70,74,64,69,62,64,62,65,50,58,87,69,54,64,65,63,81,60,59,64,59,58,57,60,65,67,92,68,58,83,101,75,75,76,67,65,82,76,71,71,69,65,76,102,89,70,59,64,66,73,66,95,99,90,77,50,62,67,66,63,57,49,60,49,87,67,59,60,53,58,56,58,67,58,58,59,58,71,70,70,69,71,66,66,73,70,56,63,62,54,64,20,42,58,56,57,58,67
76,67,65,64,35,29,80,54,53,53,58,67,72,66,75,66,65,72,70,69,74,76,77,88,81,72,71,66,60,43,51,51,61,56,66,81,74,56,53,38,22,73,70,73,67,72,60,54,60,57,58,64,62,30,42,67,61,65,73,69,78,86,82,72,38,40,53,54,65,84,97,65,75,66,63,57,57,54,58,60,63,65,99,95,75,57,55,57,61,64,73,78,86,57,71,64,67,69,70,71,64,62,64,54,87,93,91,65,72,73,78,76,80,73,34,69,75,66,68,69,69,69,62,53,96,89,35,59,61,88,68,66,62,63,62,64,66,74,58,42,39,57,66,69,52,54,96,120,109,94,95,96,93,93,88,83,78,95,101,70,80,63,70,58,50,56,50,49,63,73,59,61,55,54,41,35,70,70,73,77,74,72,70,74,63,54,94,42,50,52,56,88,79,66,64,69,65,70,63,72,85,61,69,69,61,71,66,65,45,24,28,48,54,86,100,55,64,66,61,57,62,57,57,61,96,84,58,55,51,57,57,55,50,56,76,70,58,74,75,72,67,67,76,43,39,62,57,51,59,60,76,74,37,43,34,47
54,72,84,78,69,80,74,67,59,54,45,75,70,71,71,68,67,64,74,74,74,69,72,48,51,77,81,68,67,78,89,59,51,54,60,69,63,59,59,58,63,44,63,60,90,92,98,89,71,66,71,77,74,68,83,37,69,66,72,69,68,63,69,68,59,73,78,75,51,55,61,69,58,55,65,95,94,93,74,72,59,54,44,24,37,43,51,96,72,73,73,72,74,82,39,42,51,55,55,60,59,66,76,76,59,56,48,79,100,82,74,76,77,85,75,67,67,71,75,55,71,29,65,71,57,54,57,58,63,52,69,104,92,103,86,77,63,69,68,73,77,90,86,55,78,82,77,75,73,64,68,65,59,69,47,50,45,60,66,68,59,79,85,88,87,66,85,106,68,53,64,62,60,62,69,79,102,127,106,83,38,59,70,73,78,69,60,60,68,59,62,61,51,43,73,93,89,93,74,78,76,48,55,66,66,71,66,59,57,72,72,93,82,35,58,58,84,37,53,73,69,65,60,59,55,54,52,82,63,83,44,76,70,29,51,45,31,48,49,62,63,69,45,35,75,58,58,59,57,94,68,54,67,63,62,68
63,60,53,56,67,75,78,72,77,65,64,69,57,69,75,73,74,78,69,74,72,76,77,60,60,62,53,71,89,67,60,60,70,82,54,66,66,58,57,61,59,46,49,46,62,70,67,49,34,53,86,92,95,82,72,71,71,68,68,67,63,60,60,65,54,63,58,65,69,77,68,57,51,34,49,44,40,54,52,63,92,75,70,76,80,75,39,30,41,83,75,74,73,76,81,88,77,100,108,83,60,68,75,68,61,58,58,54,51,50,88,93,76,74,67,66,68,68,63,69,70,71,91,101,62,67,63,60,63,62,65,57,63,52,46,41,56,106,86,71,52,68,86,105,100,104,56,53,55,54,66,66,80,63,55,65,65,78,67,67,66,60,60,74,44,53,59,55,68,66,62,65,69,72,62,73,58,72,62,60,63,67,78,55,67,57,61,58,63,59,68,61,64,65,62,63,58,58,48,36,20,86,56,59,60,51,57,58,68,77,69,75,73,75,86,81,72,65,68,78,65,33,54,56,57,60,70,61,48,53,64,70,61,72,47,29,81,69,64,69,60,64,72,53,64,66,60,63,92,38,59,89,84,72,65,65
63,61,63,41,49,70,73,72,61,62,65,61,64,67,65,64,67,74,65,67,74,82,54,64,64,62,66,64,52,60,74,67,40,56,87,69,61,57,65,72,68,64,70,53,53,62,45,70,75,110,53,37,47,49,61,65,82,63,70,74,70,68,50,55,69,74,69,61,63,59,63,62,66,59,58,61,71,51,60,59,88,70,62,66,59,78,72,74,83,35,69,59,70,79,77,77,78,26,48,59,33,34,42,64,66,61,61,55,56,54,54,41,52,84,82,76,68,65,61,58,62,59,64,67,73,40,69,69,107,82,65,30,39,61,68,62,59,60,58,108,97,71,43,77,83,63,56,61,60,74,70,54,63,65,49,63,68,78,66,69,75,74,72,66,77,66,68,69,95,100,60,53,44,58,107,86,79,72,64,70,68,66,60,69,80,74,72,59,61,62,62,41,48,61,62,44,44,37,36,61,68,117,42,71,69,56,55,49,58,67,58,70,67,66,66,71,67,59,58,63,68,67,69,88,61,36,58,69,64,62,60,62,62,92,69,62,64,68,62,68,64,60,52,58,57,61,65,66,78,22,60,66,53,53,61,63
51,72,74,79,69,64,65,58,65,72,59,60,54,63,60,58,61,65,63,68,70,79,62,66,65,63,63,62,60,58,53,64,79,39,47,64,66,70,57,59,60,62,61,59,87,85,80,92,87,57,52,79,74,77,76,47,58,53,52,73,63,68,75,78,77,76,64,66,75,68,66,67,63,58,61,47,67,78,78,86,71,68,71,65,66,65,63,59,70,87,78,73,62,59,80,94,77,71,65,71,74,66,71,60,36,29,42,54,58,57,56,57,57,69,71,85,102,76,95,80,69,60,56,61,65,75,64,38,72,64,58,66,75,85,57,82,29,55,65,67,48,52,80,91,110,85,64,71,63,67,65,79,87,87,89,96,96,61,70,65,65,70,72,58,71,72,68,68,73,64,70,79,54,58,58,54,74,79,80,70,75,72,73,72,70,70,70,55,52,45,75,66,68,76,75,88,64,57,76,95,75,55,62,66,52,68,61,60,65,59,94,75,61,58,58,63,68,63,61,79,85,61,69,77,76,76,80,57,45,66,60,62,62,64,49,74,67,68,69,69,65,47,55,58,57,62,63,69,57,60,61,60,64,44,69,59
69,58,68,79,71,71,69,65,61,65,59,59,68,56,60,54,56,54,57,57,76,28,38,31,53,59,65,61,61,65,59,57,46,81,85,75,65,58,63,63,61,60,63,66,70,63,68,55,64,75,76,76,52,73,72,67,76,73,69,59,80,77,70,72,64,77,79,78,65,62,60,64,67,62,71,78,75,76,75,52,72,67,61,55,57,64,65,72,58,63,102,39,76,74,86,55,64,69,66,69,72,66,56,62,69,76,90,97,34,31,53,61,54,69,77,56,55,69,63,49,61,82,78,63,60,62,63,76,64,62,64,58,60,58,65,62,67,82,53,52,65,70,63,62,62,54,88,52,74,110,109,87,72,57,67,74,62,66,78,78,88,94,77,37,65,76,74,68,69,76,77,79,55,69,64,81,63,67,101,92,90,87,81,69,61,60,67,73,76,71,71,66,73,85,85,35,76,68,11,55,54,70,42,45,64,70,99,86,71,64,63,61,65,61,62,57,64,65,64,18,15,64,63,66,89,66,69,71,74,78,33,44,39,61,64,54,54,72,65,63,62,61,52,55,55,67,52,46,52,56,62,96,41,72,63,54
61,61,50,55,55,59,74,103,100,99,83,93,68,72,65,72,102,97,74,72,65,69,60,61,73,45,33,45,57,44,54,66,63,53,55,59,67,88,82,72,68,64,67,72,72,61,66,65,74,63,70,74,86,74,66,72,63,61,70,51,82,71,71,71,72,73,76,81,77,81,82,76,74,74,84,93,71,65,82,64,62,63,71,70,63,59,64,37,96,66,51,62,94,94,40,54,65,80,69,64,66,64,57,62,69,79,79,72,69,79,85,79,30,47,61,66,72,72,69,65,64,45,45,57,105,90,83,69,68,66,61,56,60,61,61,66,64,60,63,84,86,92,108,121,60,37,50,48,34,25,48,19,68,65,65,63,65,61,60,63,67,72,75,73,74,60,64,73,55,83,73,77,61,68,63,79,61,72,59,53,53,53,73,98,66,69,72,68,91,85,93,90,74,22,54,84,45,96,92,79,81,107,111,82,72,62,35,62,65,82,81,96,80,88,87,85,64,67,61,66,73,55,65,65,59,65,70,67,66,64,67,74,79,84,84,37,56,72,64,66,67,61,50,56,60,62,78,61,68,53,58,86,76,73,73,70
59,58,58,62,77,71,56,40,62,59,64,58,50,77,105,101,31,44,46,57,70,64,58,54,57,72,76,79,80,84,86,71,59,58,61,63,61,61,57,54,92,83,79,77,76,77,63,60,54,59,61,68,59,58,66,66,67,89,81,89,99,82,67,67,70,69,71,71,76,77,73,77,60,64,63,64,81,67,72,59,59,58,58,67,84,93,93,73,84,42,58,57,65,63,102,84,53,54,46,50,98,96,89,69,66,68,85,71,68,68,69,77,73,87,96,101,66,40,52,63,70,65,62,56,49,44,42,48,75,62,58,60,64,61,66,59,63,63,51,61,61,65,74,71,68,65,67,83,86,51,47,62,74,96,98,79,75,67,62,59,65,65,63,67,49,47,60,54,39,55,68,80,60,66,67,83,64,63,69,67,64,71,68,54,54,73,67,62,59,45,80,39,25,45,82,99,79,70,46,95,100,110,24,23,30,27,63,65,67,55,66,60,55,59,66,54,62,75,76,79,68,58,67,17,89,74,71,66,64,58,65,62,63,66,63,75,60,60,61,51,55,60,46,46,65,61,62,59,67,80,32,34,72,66,63,61
61,56,60,74,69,73,67,70,55,69,70,69,69,69,60,59,56,63,84,66,82,84,68,57,61,84,104,100,92,78,74,72,83,66,32,48,59,53,59,63,62,50,47,49,70,36,87,67,61,61,55,56,70,67,70,67,74,50,60,51,60,58,79,83,65,74,70,70,68,78,69,76,73,79,13,74,68,66,71,86,71,89,60,66,53,58,37,58,68,96,35,84,87,81,80,38,67,87,40,62,64,64,57,59,60,55,57,60,67,72,83,109,64,66,113,86,74,80,96,51,58,55,60,56,57,53,59,54,52,72,63,95,88,93,66,67,67,67,64,68,71,69,66,65,61,87,77,63,58,73,96,75,35,56,55,61,60,71,92,80,77,65,65,55,57,58,54,57,54,59,63,75,80,65,31,37,27,28,38,70,70,71,67,68,54,63,55,64,68,75,67,66,74,80,81,74,61,18,42,57,36,24,80,88,90,70,58,58,62,66,62,44,48,49,54,57,53,59,59,59,71,75,60,67,72,75,69,70,67,60,60,66,64,64,64,73,66,55,64,56,53,55,55,60,60,58,62,55,66,67,67,62,68,66,65,57
65,60,64,46,66,61,65,64,75,71,41,35,55,73,67,68,68,70,72,66,69,58,52,67,97,61,63,66,60,66,79,70,73,74,77,79,60,50,55,59,65,65,61,51,54,59,63,87,62,62,62,58,58,50,62,58,65,76,52,29,42,46,40,78,83,55,59,69,81,50,79,72,77,71,69,70,65,88,53,57,70,65,75,70,70,61,61,84,48,84,48,65,67,66,68,51,80,78,76,83,46,70,75,58,67,64,72,64,54,53,54,57,67,64,52,89,78,79,74,77,69,81,89,63,38,36,48,57,56,51,46,56,61,53,39,50,78,64,44,80,64,68,67,55,68,57,62,71,67,68,63,63,63,80,111,98,44,37,39,45,47,84,66,57,54,69,69,65,52,57,61,58,54,59,59,56,63,64,69,79,76,49,35,49,40,59,61,67,63,67,68,64,70,89,109,101,110,101,85,93,81,72,71,55,16,62,67,66,61,63,61,69,67,68,75,84,61,49,40,49,69,58,59,63,84,96,84,75,73,67,64,68,65,73,88,106,106,79,79,77,61,53,56,54,59,56,58,58,55,64,49,74,66,60,70,65
74,72,71,43,72,65,58,63,64,52,62,71,76,51,56,69,71,69,71,68,68,68,69,67,62,64,104,71,61,71,66,61,93,79,78,70,73,72,72,49,42,63,57,64,61,56,54,51,49,62,82,62,62,53,56,49,54,57,63,75,80,82,80,93,100,61,63,64,57,68,57,68,89,64,65,60,62,36,41,57,66,70,66,91,76,56,67,48,73,79,68,62,66,73,84,48,50,67,68,68,78,57,63,85,82,53,68,60,66,74,74,77,54,86,96,52,64,75,96,92,79,68,65,63,65,67,81,87,57,37,21,89,50,46,60,71,61,48,64,47,68,59,63,56,61,67,75,55,59,61,64,68,63,62,58,54,57,56,56,96,51,51,87,78,83,75,81,80,68,65,62,54,64,41,70,59,53,57,59,59,63,61,68,74,73,66,60,46,54,42,70,66,71,53,54,66,67,52,28,32,31,84,98,84,94,93,77,64,70,66,73,70,62,68,66,68,70,64,64,62,66,72,63,69,65,47,52,60,66,77,76,64,67,51,55,52,57,43,46,44,97,107,91,61,51,61,62,59,60,64,54,96,55,60,57,58
79,96,95,87,62,67,63,72,67,65,60,61,65,65,76,83,88,56,67,71,68,72,72,71,67,66,65,68,59,66,92,80,49,44,38,51,68,52,56,72,76,45,42,54,59,61,62,57,58,55,54,48,42,93,92,73,65,71,41,65,101,80,96,44,46,60,67,76,77,64,79,82,73,52,61,62,62,65,68,68,49,64,70,62,56,88,67,67,61,47,56,72,71,39,48,85,80,65,69,76,70,74,87,65,46,75,65,57,61,64,62,67,68,64,62,70,74,66,73,70,74,68,66,58,61,66,58,54,57,68,58,57,54,56,64,64,58,68,78,78,66,56,60,63,62,61,50,61,98,84,52,62,63,61,61,70,71,68,84,63,58,72,113,85,63,55,49,75,63,70,61,65,62,71,47,72,78,56,65,84,62,55,58,64,70,62,68,72,73,67,65,56,59,61,64,67,68,72,79,80,83,41,49,57,53,46,73,63,65,29,44,45,78,69,74,84,79,63,65,60,63,60,68,62,59,60,68,48,58,58,53,59,57,84,76,48,62,64,58,64,62,57,58,87,51,46,84,79,88,73,55,56,54,69,66,70
61,55,46,66,70,56,47,52,55,53,66,80,54,83,66,62,64,69,46,65,72,57,40,60,68,69,72,69,71,67,65,57,68,89,96,108,90,79,72,65,67,68,72,71,63,43,59,61,58,58,59,69,67,68,50,34,52,92,67,46,58,49,44,56,59,84,114,46,48,83,84,70,68,63,57,58,63,63,57,61,71,87,53,68,73,62,67,62,75,70,62,80,64,86,100,66,49,67,94,58,68,70,68,68,75,63,71,64,61,65,62,65,61,59,80,72,38,79,90,80,76,72,75,77,77,74,64,71,68,70,60,60,55,56,53,60,53,53,56,57,58,62,64,63,71,61,61,67,43,64,52,78,78,64,69,64,74,70,66,68,75,89,53,39,57,56,98,98,104,84,73,66,63,61,73,74,42,64,36,56,54,58,64,61,79,80,78,61,64,58,61,55,62,76,78,80,74,73,74,70,73,79,44,61,65,63,72,78,76,54,55,57,70,52,46,52,41,88,106,86,65,84,74,71,63,56,62,53,55,72,62,57,57,56,65,80,88,69,57,56,68,62,61,68,63,62,62,61,58,57,52,56,92,86,83,65
72,72,62,58,83,71,69,80,85,70,79,49,48,54,65,61,59,65,68,80,61,86,71,69,71,70,65,68,69,67,69,70,70,66,63,67,65,52,69,68,66,68,64,62,67,69,74,68,45,58,66,60,68,66,71,69,76,70,49,40,54,57,62,61,111,50,57,59,59,51,93,46,74,65,68,57,58,73,65,64,61,60,70,75,69,42,83,79,51,55,81,77,71,70,61,75,93,40,46,68,68,76,46,53,62,63,69,69,85,83,82,81,82,77,75,65,78,95,82,71,78,63,73,76,80,71,73,69,68,64,67,68,73,85,62,86,73,102,106,108,103,104,104,82,71,63,58,53,74,87,61,62,76,68,83,70,51,68,70,69,61,70,62,65,101,104,83,42,63,55,57,95,89,67,61,57,69,65,70,55,83,81,77,86,56,60,68,71,68,85,84,73,67,60,66,62,59,60,65,67,61,64,80,31,18,25,51,60,57,66,32,38,55,35,83,71,59,48,46,32,26,24,13,22,61,100,82,67,66,73,63,60,84,68,63,64,57,61,67,65,30,45,49,68,57,69,69,72,72,68,74,69,60,52,26,73
72,70,71,71,64,56,75,70,79,86,78,73,77,69,73,115,64,71,69,60,66,66,67,48,59,68,74,61,48,65,70,66,75,74,70,69,67,62,74,64,61,58,64,70,63,67,65,57,62,79,74,57,52,59,61,63,64,67,70,69,74,79,61,46,40,56,59,63,64,55,80,75,103,97,49,90,75,46,51,64,62,63,52,52,61,61,43,67,63,59,82,66,70,87,87,85,74,66,74,67,83,54,64,70,59,64,71,75,80,66,58,69,63,64,59,63,68,68,66,70,79,76,64,62,65,63,71,72,61,60,39,86,79,68,71,76,69,73,59,59,53,54,59,112,107,102,82,69,62,65,69,84,35,54,64,85,104,73,101,86,71,47,68,72,71,66,65,73,38,34,39,61,54,48,43,92,76,50,57,50,53,45,63,68,58,61,76,67,62,71,62,104,78,99,92,71,63,65,60,63,64,64,66,66,70,68,65,62,66,57,61,59,56,81,74,68,64,59,59,65,77,93,84,73,67,30,44,52,50,100,81,75,50,71,56,60,66,65,67,69,70,75,103,67,77,68,69,71,75,74,70,72,76,73,82,56
71,70,67,66,72,67,69,52,50,56,55,63,82,74,61,63,54,74,77,80,70,66,66,54,70,58,77,76,64,70,67,70,76,74,69,67,68,56,69,64,65,66,60,64,63,61,58,66,64,69,76,71,75,68,75,75,65,62,59,65,73,71,73,68,71,74,61,50,56,61,63,53,54,53,55,51,47,46,75,62,59,54,68,70,62,60,72,76,50,65,66,67,68,67,58,66,60,80,77,78,71,72,65,85,89,72,70,64,58,63,73,48,71,72,73,75,73,73,71,68,62,52,53,67,71,75,54,84,63,62,49,60,70,66,88,72,75,53,63,66,64,58,61,52,50,51,56,105,102,78,71,65,75,94,35,37,54,69,61,61,56,95,44,69,105,101,118,83,84,76,77,76,77,79,82,61,71,72,72,70,67,65,65,64,54,71,75,72,70,72,71,53,63,65,47,54,54,69,68,67,65,65,60,57,68,66,70,59,58,60,64,68,44,27,63,62,78,63,59,74,48,46,41,40,90,76,81,36,63,57,60,96,103,77,97,67,65,65,58,58,66,71,49,60,64,49,48,60,70,75,73,72,73,76,60,59
70,75,75,69,66,67,68,69,69,65,66,69,60,72,97,74,57,50,68,62,72,64,64,61,61,60,60,60,63,63,85,87,65,50,68,66,73,60,62,63,62,57,61,60,66,61,60,61,57,67,45,80,74,59,62,68,80,75,72,67,58,65,62,61,66,66,65,74,57,62,62,63,66,64,59,54,61,56,58,83,76,66,64,66,69,73,66,73,83,73,43,59,65,66,74,74,70,66,63,45,69,66,64,69,47,77,58,42,66,61,63,64,82,82,79,59,74,83,64,44,64,65,67,67,64,61,61,58,89,91,69,65,68,66,61,65,63,52,58,65,61,58,61,62,65,66,64,56,58,54,88,74,64,66,68,77,79,79,28,79,60,52,76,87,64,67,70,66,53,63,80,111,107,94,78,86,91,53,38,62,37,54,65,63,25,67,73,72,72,60,87,61,67,66,58,63,74,65,64,65,58,43,85,84,77,75,72,61,50,59,58,54,62,64,72,56,58,63,68,56,62,66,49,70,51,48,89,79,86,50,73,60,62,73,67,91,95,95,76,61,56,72,75,75,80,61,66,65,67,66,70,73,74,79,58,58
75,66,48,38,52,64,68,72,65,64,67,68,66,70,91,73,80,72,58,37,72,65,68,67,71,61,65,59,59,63,64,69,88,85,84,80,87,51,66,60,65,67,62,64,64,61,63,62,58,74,56,57,62,82,97,91,78,73,73,76,68,80,75,80,65,55,50,51,57,61,59,62,63,64,60,65,61,59,57,55,47,62,85,81,74,68,65,63,67,68,79,70,55,72,67,64,65,64,68,77,98,80,63,69,66,66,58,63,62,68,65,62,66,60,64,63,68,74,69,75,67,62,37,66,66,62,67,68,80,39,60,87,84,74,53,52,63,51,61,66,55,61,59,63,67,69,71,68,69,71,66,62,59,69,75,81,66,66,67,67,49,60,64,57,77,64,70,72,67,69,66,64,55,44,50,63,93,80,76,66,87,72,45,36,70,62,66,70,75,66,62,66,65,66,55,64,69,64,78,79,74,58,57,50,49,48,50,103,74,70,67,63,58,57,59,57,60,76,62,73,65,65,74,69,54,61,55,49,41,84,72,41,68,70,61,66,62,58,73,60,63,58,62,62,63,57,58,63,68,78,91,58,37,42,58,28
71,70,67,67,69,72,65,42,61,69,67,70,69,72,61,60,61,59,87,86,83,77,66,76,66,62,62,65,62,65,74,68,44,57,66,66,67,67,72,64,70,67,62,60,61,62,61,59,59,72,63,68,70,67,67,54,64,82,81,76,75,73,68,73,72,72,73,78,79,85,90,82,80,56,38,44,58,62,54,57,58,57,54,46,49,84,93,73,67,64,71,66,76,93,74,30,40,50,58,74,48,67,57,74,73,62,61,63,65,102,86,64,37,68,74,72,77,73,65,67,69,62,60,66,66,47,48,43,74,59,63,65,61,54,60,67,77,100,96,37,53,57,64,68,70,68,75,76,70,65,65,70,60,65,57,56,97,71,59,67,105,86,95,79,74,88,90,86,56,53,63,68,69,71,75,70,53,46,37,60,87,79,82,70,65,70,72,38,51,71,70,71,65,67,61,51,79,77,74,84,78,60,68,66,65,61,60,51,50,63,57,61,82,68,60,57,60,37,66,61,69,58,66,66,59,64,68,61,64,63,66,80,38,40,68,69,65,65,70,71,87,72,68,68,56,61,61,62,66,63,66,64,65,60,67,71
63,60,62,60,63,53,57,65,76,81,73,76,49,62,82,64,76,74,69,60,45,56,69,91,75,68,58,62,71,61,61,70,49,71,67,67,69,71,67,70,70,68,75,75,89,84,68,59,58,46,45,61,75,74,71,78,72,67,66,73,85,81,71,74,76,73,85,55,56,52,58,59,84,74,69,80,83,68,43,56,54,62,59,53,87,83,49,62,88,72,61,64,64,73,78,76,73,74,68,65,72,63,63,55,52,76,68,63,59,67,42,73,76,62,59,57,61,62,62,55,82,60,58,62,64,73,73,75,73,61,55,66,65,57,63,63,76,84,60,65,105,49,32,53,70,70,72,71,70,72,68,68,69,62,61,67,56,74,67,67,46,55,64,89,74,108,74,65,71,101,105,38,41,70,56,63,68,67,71,70,69,64,63,54,50,63,85,85,84,92,60,36,41,37,63,80,78,73,70,76,82,64,81,70,64,65,72,65,61,81,77,73,69,55,56,85,85,67,74,44,77,74,56,61,60,60,88,69,60,66,62,46,52,95,95,89,48,43,57,54,53,41,65,58,61,59,62,63,62,64,68,68,68,70,57,68
48,52,69,59,80,61,64,63,71,67,54,54,65,76,62,56,55,52,61,71,75,71,62,51,46,51,72,98,85,70,66,70,95,73,69,72,69,72,71,74,73,78,74,72,64,50,49,57,54,54,64,67,77,57,45,83,52,51,52,56,57,55,51,67,67,70,50,65,65,77,65,72,73,75,67,64,75,78,84,48,45,60,37,51,79,66,56,75,79,66,61,64,63,62,63,68,60,69,66,63,68,69,66,66,73,70,65,76,90,65,64,57,74,57,59,59,56,45,64,47,40,61,57,66,69,72,86,67,62,64,75,77,65,78,75,69,82,65,39,34,61,65,63,84,89,55,37,38,61,69,74,71,72,61,61,61,76,61,62,54,72,60,65,45,42,85,70,74,68,76,85,89,90,78,56,64,62,64,63,63,64,64,62,65,63,63,67,68,71,67,63,69,89,92,79,73,61,64,72,72,87,61,66,83,74,62,66,69,71,69,86,79,70,72,74,65,55,68,67,76,60,68,52,64,71,60,37,75,63,83,59,61,44,55,51,48,59,87,82,38,34,24,68,61,53,56,30,62,74,63,65,70,64,65,65,68
79,55,60,61,67,59,88,57,60,61,67,63,63,55,53,53,58,62,69,67,60,58,66,71,75,71,60,51,59,60,87,94,82,75,74,73,67,70,70,64,70,61,61,68,70,64,59,58,57,56,52,60,58,56,59,74,74,69,74,66,68,77,70,64,58,58,61,75,77,56,54,45,61,65,73,75,71,77,72,58,34,74,79,75,67,55,82,68,58,59,59,67,63,68,68,66,67,67,60,63,64,59,59,66,62,65,75,68,70,75,74,66,68,65,69,52,48,35,67,43,104,69,75,88,69,69,63,73,70,82,81,70,79,71,75,74,88,71,75,72,103,71,57,57,62,60,55,60,113,122,103,92,30,42,80,64,64,50,90,61,60,62,60,76,69,68,67,68,59,70,78,68,45,59,90,92,92,81,52,48,54,58,64,67,67,71,83,88,73,62,53,53,61,57,65,47,67,75,74,89,75,101,121,49,59,70,68,69,75,69,65,67,86,77,75,75,60,62,64,43,78,59,67,40,51,51,70,76,44,68,57,58,64,42,52,53,53,51,38,63,87,85,78,57,57,54,54,59,52,102,88,84,55,102,83,71
58,61,55,51,52,63,61,70,69,67,67,54,60,53,53,52,48,54,56,63,66,68,67,54,61,69,79,66,80,74,71,61,56,72,64,84,106,84,88,81,83,82,77,81,75,66,55,62,57,60,62,57,59,63,54,66,64,60,63,66,63,67,67,93,75,60,78,67,63,84,85,74,74,73,73,54,67,68,67,73,69,83,79,68,73,67,64,62,66,68,66,44,57,43,59,61,80,70,56,57,61,63,69,63,66,71,61,67,70,76,74,64,72,71,73,69,69,61,60,54,42,73,71,38,75,77,55,68,80,53,63,73,53,74,79,80,66,67,72,66,87,63,75,74,66,70,67,49,42,23,54,102,75,55,80,92,91,76,61,59,60,59,58,60,61,62,59,63,66,44,59,96,89,46,36,51,59,56,76,103,89,85,81,73,73,83,73,64,79,62,55,50,45,58,67,65,64,66,70,53,55,60,56,55,84,65,47,29,44,58,66,62,61,70,79,66,60,66,63,57,53,74,65,69,61,56,60,69,77,47,54,54,53,73,78,51,62,56,53,55,43,43,52,72,70,71,68,73,33,50,49,53,58,55,51,62
68,48,62,78,78,79,53,87,63,53,53,69,63,72,71,58,59,55,64,62,71,64,70,69,71,75,55,42,72,71,78,70,72,69,67,68,56,55,50,55,53,53,56,54,52,64,89,70,97,57,59,81,86,104,71,95,88,71,69,68,67,82,73,34,46,68,69,64,61,63,53,50,44,77,79,71,75,51,67,67,69,64,58,54,49,77,84,62,65,62,73,41,60,69,76,74,65,53,74,87,69,63,65,61,78,66,61,69,61,67,72,71,75,76,72,64,56,58,65,64,101,73,62,83,66,72,76,51,67,54,68,68,94,84,56,78,107,81,81,100,48,74,79,79,75,62,59,62,62,72,63,82,70,70,61,57,53,70,59,67,71,63,52,59,60,63,63,55,84,59,65,60,51,86,79,80,48,58,72,66,56,55,62,96,85,68,69,94,105,101,99,96,103,100,81,38,36,51,59,56,55,56,67,71,53,74,82,71,79,80,49,45,57,63,57,61,56,62,64,59,39,43,56,62,61,57,58,64,70,71,51,55,66,62,38,68,42,28,19,31,49,31,46,41,37,39,34,94,74,78,45,42,66,71,64,62
63,75,73,54,39,59,63,44,70,90,81,79,74,43,44,52,54,58,73,81,66,65,65,70,66,68,66,84,96,102,62,55,66,72,74,75,76,74,68,70,72,74,73,73,72,68,59,48,47,70,66,71,64,52,57,56,49,49,80,85,85,83,74,79,79,72,71,70,65,66,63,69,64,61,57,58,71,68,64,55,48,56,59,64,65,66,59,50,80,67,50,59,61,64,45,60,60,63,63,64,58,66,68,48,53,60,68,68,67,70,67,71,68,69,76,56,70,72,70,68,64,72,94,92,79,83,73,72,70,72,74,83,44,46,45,45,34,60,60,52,68,71,57,49,57,62,58,61,72,54,51,29,89,55,65,74,70,69,58,61,67,65,79,76,65,60,54,68,73,53,53,43,52,55,23,61,65,86,62,54,73,68,66,61,63,55,56,57,60,69,58,43,59,47,60,98,82,89,85,88,83,94,91,60,33,32,74,65,62,65,62,74,82,56,41,55,58,58,60,58,55,76,74,74,73,58,60,58,64,50,56,75,65,61,57,66,80,70,73,75,79,73,81,57,57,66,58,65,52,92,70,79,79,33,59,63
61,68,52,58,56,58,67,57,67,89,77,55,71,67,67,42,50,71,48,57,59,72,73,77,62,68,67,70,66,63,74,80,89,79,63,46,38,46,59,51,25,80,94,73,37,38,47,57,67,72,67,66,56,63,65,58,52,64,58,61,60,59,63,62,64,75,75,84,80,83,75,62,64,66,68,46,63,65,66,65,67,68,66,71,69,53,63,62,57,68,55,60,67,74,73,69,48,50,63,65,61,59,74,53,62,58,70,65,66,69,70,81,76,68,80,65,67,80,68,66,72,73,56,58,54,57,84,83,69,66,69,61,76,71,70,70,74,61,66,78,83,86,76,61,64,66,72,89,73,56,89,92,59,56,72,56,65,63,63,78,74,54,52,63,65,83,95,74,73,79,79,81,85,81,70,59,61,62,97,90,74,45,70,72,59,63,61,71,67,56,84,72,87,76,75,63,99,100,71,65,60,61,62,64,76,74,71,69,75,82,79,65,60,69,67,48,51,50,55,61,62,55,63,54,42,48,68,59,65,62,60,34,43,66,72,58,76,67,64,66,70,71,72,74,40,56,60,71,52,53,61,65,65,64,84,87
64,58,56,52,55,60,48,65,101,60,53,67,68,72,59,57,57,73,73,60,97,75,58,61,71,68,71,69,71,71,70,68,69,62,52,55,57,59,65,68,68,63,63,64,72,77,68,80,83,76,59,57,34,60,64,48,70,66,68,68,63,66,69,70,65,67,63,57,72,60,60,46,54,89,71,62,62,60,61,62,65,61,64,63,51,53,70,62,61,53,63,59,55,69,56,57,81,70,73,49,51,69,69,55,65,59,71,82,53,51,69,73,74,73,77,81,44,68,68,70,71,65,70,65,65,66,60,51,58,60,90,51,88,82,84,82,76,69,71,34,55,37,55,73,74,82,36,49,66,74,72,71,77,76,71,65,72,57,60,64,54,53,96,90,68,49,42,43,72,79,84,77,91,77,65,84,72,74,76,65,61,67,83,91,33,49,47,59,61,57,47,46,54,58,56,48,58,59,49,61,67,73,77,71,66,66,72,78,72,54,64,78,75,76,74,65,76,40,55,54,62,58,62,57,52,59,46,60,49,51,61,67,67,57,18,67,66,67,67,67,83,79,85,85,77,89,94,99,80,65,58,60,60,61,59,66
56,47,53,55,52,60,60,54,58,77,48,61,59,61,58,55,73,52,55,81,73,39,65,65,52,55,69,83,75,68,70,73,69,68,62,53,53,48,52,55,68,66,62,63,71,64,52,63,66,82,79,73,68,42,46,59,70,71,66,61,71,77,67,57,52,56,58,54,64,67,63,59,54,53,67,71,67,83,72,67,62,63,61,51,49,76,43,43,61,60,63,71,54,76,75,68,65,62,67,87,77,71,51,54,67,63,62,66,65,63,62,54,85,76,66,65,69,59,51,66,61,69,65,62,68,64,63,62,68,63,66,61,69,61,57,62,58,66,61,66,76,71,73,79,90,38,47,97,89,59,64,67,64,79,79,76,66,66,64,74,68,65,53,49,50,49,92,88,86,77,62,53,59,69,69,64,68,73,68,59,64,70,75,82,76,75,69,82,77,69,77,67,69,65,70,76,86,82,70,70,72,70,55,58,71,67,59,68,53,54,67,61,64,54,41,56,66,111,89,53,37,38,62,72,34,37,30,56,50,48,56,63,61,63,68,77,81,47,79,106,75,67,72,62,76,90,90,93,98,87,68,60,65,62,66,71
58,58,48,57,56,66,58,64,53,62,70,62,56,60,61,66,44,58,64,60,64,69,60,54,55,72,77,72,72,70,65,66,67,62,66,60,51,49,51,57,69,63,96,96,100,91,78,88,86,43,59,45,53,74,66,68,63,62,65,64,64,67,67,73,70,70,69,82,89,66,33,50,53,60,51,72,61,56,64,71,72,90,90,55,41,72,62,73,79,67,72,67,67,65,71,69,63,67,73,73,61,75,89,82,48,35,59,74,63,61,65,54,54,59,87,77,78,71,71,83,53,57,64,71,65,66,63,64,65,65,62,70,61,63,62,65,82,68,62,67,59,68,73,35,58,64,59,46,71,74,63,66,65,58,67,52,81,72,60,67,65,65,77,39,96,79,62,58,50,49,66,63,114,105,86,102,82,90,79,79,68,45,41,53,56,65,62,68,65,58,66,64,64,62,59,54,59,56,55,58,53,66,61,61,57,58,64,77,84,47,41,76,64,48,47,54,56,56,64,61,98,91,83,70,54,51,49,44,52,49,56,50,69,63,69,69,64,75,28,32,24,24,38,79,71,38,36,66,74,53,60,81,72,68,80,66
67,94,94,79,67,65,50,75,43,87,61,63,66,66,63,57,65,62,41,58,55,72,53,57,67,64,48,72,67,64,64,66,70,64,70,65,52,68,55,63,85,77,59,64,65,63,56,56,56,75,102,91,87,84,95,109,96,86,75,65,62,70,63,59,59,61,59,63,62,65,72,83,61,29,59,70,75,69,67,85,50,47,68,78,79,22,64,60,60,59,58,65,64,63,49,56,63,64,70,67,76,73,63,51,58,85,88,81,57,36,36,29,42,47,36,62,58,62,72,62,56,62,69,45,44,56,62,63,61,53,63,63,65,62,68,72,90,83,69,63,72,75,70,78,76,34,67,73,80,46,69,71,70,76,55,66,66,54,61,93,53,66,67,68,60,74,57,46,53,67,66,59,61,48,53,51,49,45,72,47,74,95,107,100,81,67,78,58,68,80,86,57,68,72,76,67,62,62,63,55,65,63,60,61,58,62,66,77,64,66,51,58,60,76,66,79,87,89,66,47,37,45,52,52,61,80,68,66,59,58,60,83,66,68,68,66,68,62,69,65,63,68,71,70,73,53,63,75,76,98,98,52,52,73,71,47
76,51,60,55,85,66,60,64,56,46,65,63,65,60,65,59,58,61,65,70,51,63,45,46,56,67,65,54,92,74,69,63,65,64,83,87,86,67,45,75,71,72,69,70,72,69,67,72,70,73,76,74,71,74,64,67,63,69,55,75,69,72,72,71,81,71,69,59,62,61,58,67,59,64,67,61,61,66,65,62,55,69,64,85,73,71,61,65,68,68,72,60,57,62,63,78,78,50,62,73,70,67,67,63,63,63,62,55,57,60,67,79,77,100,86,53,45,65,67,53,60,63,56,61,72,75,72,53,64,63,62,64,68,67,69,69,61,52,60,106,50,96,76,64,64,58,61,60,60,71,56,58,74,73,68,46,43,42,52,33,60,68,71,77,71,71,57,58,89,99,70,46,87,110,46,42,58,63,77,55,59,58,56,53,56,55,82,64,69,66,76,79,81,55,55,65,57,84,45,50,71,90,87,65,65,62,77,76,64,62,60,61,70,33,70,74,79,52,57,61,99,51,79,58,59,70,60,63,63,59,61,52,63,57,53,68,65,64,66,65,65,61,59,63,63,76,84,61,56,42,45,75,101,79,68,63
59,61,70,70,62,59,57,76,83,95,92,90,74,86,61,80,70,67,64,80,88,64,61,53,50,37,52,53,58,62,62,68,76,55,22,54,66,78,81,83,40,53,71,67,67,70,66,65,66,76,76,77,73,76,75,78,79,73,68,67,68,64,68,68,70,86,50,75,96,108,87,57,56,53,49,57,56,58,68,63,43,65,75,53,56,102,79,72,53,50,70,70,101,98,70,67,78,79,67,59,52,72,68,66,67,68,67,71,70,64,68,67,71,68,59,79,68,64,64,65,62,67,63,82,64,88,95,92,75,41,44,56,63,68,71,63,70,85,61,59,63,64,86,70,59,61,61,55,53,60,56,55,73,73,60,57,66,67,67,61,64,80,67,79,80,80,72,52,64,53,58,66,81,64,71,60,66,46,68,31,35,62,66,69,65,70,56,61,76,79,68,53,64,66,57,59,49,50,57,58,60,53,51,55,68,88,80,57,96,69,53,66,71,60,64,80,85,45,63,68,57,71,72,80,81,43,61,58,77,69,66,55,81,70,97,99,94,87,80,68,63,59,61,68,63,55,57,60,47,43,49,48,55,58,53,69
61,59,55,66,58,57,100,71,61,48,52,49,50,52,59,59,58,68,73,52,43,68,60,64,58,70,112,83,77,64,71,91,26,68,60,69,35,52,62,61,72,82,66,72,63,69,60,69,66,75,78,73,71,78,78,76,75,71,77,74,67,63,67,81,76,56,68,60,55,57,59,78,74,54,57,52,49,49,47,53,64,71,55,28,61,54,51,82,101,73,69,62,44,61,55,71,105,79,62,58,71,51,70,68,64,68,72,71,69,65,62,63,67,67,70,65,62,60,61,80,84,86,86,78,100,79,51,71,60,55,67,89,99,83,39,54,72,61,62,77,94,114,115,88,77,68,62,62,58,63,62,62,60,63,64,59,67,66,61,63,58,68,61,66,54,69,70,68,57,80,79,71,39,88,73,76,70,54,68,72,76,87,35,52,69,62,84,69,66,53,62,62,60,58,60,61,56,58,61,65,65,59,57,56,56,55,56,59,32,65,55,53,53,52,60,58,69,59,76,67,60,73,78,77,77,62,63,45,35,36,79,72,78,52,56,55,45,47,45,92,87,70,65,66,77,76,86,58,62,55,53,60,71,74,68,60
56,55,62,59,57,53,47,77,62,66,68,56,61,64,51,63,59,55,52,72,76,69,70,45,75,43,56,66,66,61,58,67,66,58,58,55,60,68,62,54,90,68,72,71,67,64,63,71,69,66,78,75,78,74,76,71,70,73,70,74,60,65,72,60,64,70,63,71,68,68,67,67,59,66,92,60,49,51,45,50,50,51,58,58,55,27,50,56,49,84,68,77,51,27,28,30,17,42,55,51,58,56,63,69,60,74,67,68,74,67,67,68,69,67,69,66,67,70,71,62,59,65,71,60,58,66,62,65,47,61,57,61,59,49,49,94,92,42,55,60,66,72,65,62,58,81,73,53,47,60,78,56,65,64,58,58,60,67,75,64,52,63,61,63,73,67,64,69,51,46,48,68,70,73,65,77,94,72,71,73,70,72,73,86,105,77,56,54,61,84,59,64,58,61,61,60,60,56,59,59,59,60,58,57,55,56,56,58,93,81,79,89,71,60,63,66,77,72,60,55,60,68,69,75,77,66,57,56,63,67,72,71,77,17,33,36,63,57,85,76,60,52,65,84,60,59,45,56,54,53,60,55,56,57,59,59
55,46,58,85,87,79,72,76,69,63,64,71,60,55,56,63,58,56,59,54,51,49,54,58,71,70,95,72,68,60,66,65,55,60,62,59,64,65,68,61,29,61,47,61,67,69,67,66,71,66,65,78,75,73,72,77,76,70,69,77,71,71,66,61,63,59,67,70,69,67,66,70,68,75,54,63,72,72,97,86,75,55,50,53,62,79,85,65,43,55,45,63,71,68,69,65,66,70,58,57,55,54,53,57,57,46,56,61,71,70,60,69,74,75,71,66,63,64,68,68,67,74,66,68,73,62,62,53,51,58,57,58,44,54,64,62,57,58,93,73,49,59,68,65,65,65,97,83,76,71,59,57,64,62,58,60,63,73,51,54,58,82,86,64,71,48,46,65,71,82,66,89,76,79,66,61,72,58,62,50,74,69,65,66,70,57,56,52,59,58,77,71,59,59,59,62,59,59,58,63,60,61,54,56,55,61,79,80,68,53,49,47,48,43,61,45,54,101,85,56,80,93,82,73,73,66,65,61,69,81,102,102,101,87,60,76,38,42,56,71,61,36,58,60,63,63,68,55,58,70,67,69,74,71,73,62
89,55,61,67,73,72,74,73,69,71,69,67,70,73,74,101,57,58,63,58,55,59,59,56,57,53,57,81,76,62,59,57,63,57,61,59,63,58,75,77,78,72,75,79,57,66,67,64,66,65,63,77,73,80,74,72,73,72,74,71,67,64,64,73,59,65,79,92,66,51,66,69,67,60,63,58,43,43,50,56,49,56,51,67,79,77,86,72,84,41,59,57,51,88,86,66,66,62,62,54,58,53,54,63,65,65,79,56,65,68,75,74,55,50,57,51,74,73,63,64,69,72,70,62,57,61,59,51,55,52,47,52,54,57,66,54,40,59,68,60,71,63,40,64,67,59,59,45,49,47,75,63,69,64,67,66,64,70,80,70,72,30,38,80,80,58,63,93,72,64,63,54,58,54,75,62,56,59,59,70,77,58,74,64,65,68,59,51,52,60,64,44,51,60,64,64,58,59,62,64,62,64,60,55,57,62,62,66,63,66,67,81,84,62,64,67,55,60,40,71,69,74,61,55,65,72,68,70,82,2,35,43,33,44,72,48,61,84,45,50,45,43,73,52,72,65,52,47,53,84,86,49,42,63,58,56
71,61,62,32,63,43,57,58,68,70,68,70,69,65,66,59,74,57,60,59,58,58,59,57,60,60,57,61,56,90,78,70,67,61,64,62,59,47,51,52,68,70,68,83,92,67,62,69,73,72,61,66,73,75,73,73,72,75,77,78,65,67,67,69,54,61,59,75,70,69,71,69,70,75,55,61,63,58,58,61,60,86,64,47,60,59,53,78,70,72,77,37,59,57,48,53,85,67,66,60,58,69,38,52,59,67,70,74,66,71,73,69,75,64,64,63,65,61,56,61,68,56,56,56,60,65,66,60,53,59,53,51,54,57,49,53,58,69,84,76,70,67,66,68,92,55,58,64,65,66,55,75,56,95,83,92,81,73,64,64,58,86,64,97,85,74,38,63,86,67,67,74,114,95,52,80,54,58,54,55,59,70,70,67,73,59,56,57,51,58,71,76,62,51,50,47,58,63,63,63,62,65,56,56,56,45,49,64,64,73,61,55,49,44,61,64,113,102,64,48,55,67,64,46,88,96,93,80,70,63,74,74,59,57,59,26,44,50,71,85,78,53,63,71,51,57,67,72,63,35,56,63,68,65,80,68
54,80,72,67,74,59,56,79,92,60,53,44,62,103,70,63,62,77,69,65,59,62,67,70,69,67,58,58,56,61,48,71,71,63,64,67,70,70,69,79,45,58,70,59,50,91,105,89,55,54,61,61,76,73,75,77,71,71,72,75,66,65,60,66,73,60,61,61,71,64,72,71,68,70,55,62,63,58,62,57,59,65,70,51,59,60,57,56,64,65,61,72,79,45,53,56,53,80,97,71,57,68,91,81,84,70,76,96,77,71,70,57,63,63,60,64,66,72,71,76,66,71,68,75,64,75,67,58,69,64,78,46,52,62,72,77,83,71,88,73,82,77,75,75,62,53,64,62,75,69,66,49,50,46,44,64,92,99,80,74,66,25,35,60,61,116,87,96,68,68,63,65,43,67,61,50,74,82,62,55,55,71,69,64,73,79,82,55,62,53,79,87,82,73,69,62,57,63,73,67,67,57,58,59,60,61,61,66,66,59,57,59,61,62,60,61,64,59,59,69,66,71,68,68,71,53,46,68,91,73,67,61,65,67,64,76,73,80,38,64,61,59,75,58,34,35,29,69,50,79,111,92,57,66,59,41
86,68,43,65,55,45,53,60,63,66,75,84,68,50,64,63,66,73,56,46,47,43,32,61,66,63,65,65,63,70,101,84,68,70,61,53,71,66,67,59,57,64,61,67,82,45,80,62,66,74,70,40,68,76,75,77,79,69,69,81,59,66,63,68,70,51,62,64,77,68,69,68,71,63,49,56,59,61,61,60,61,57,77,79,39,91,95,73,62,62,64,58,68,60,66,37,63,56,50,43,83,109,77,70,65,74,61,50,69,72,57,70,66,66,57,59,62,80,70,72,76,58,58,53,53,60,68,64,56,58,61,66,62,64,64,58,54,52,81,89,77,74,82,80,84,60,69,61,99,118,54,50,65,64,63,71,54,52,51,87,93,85,77,83,68,53,53,94,89,92,72,82,70,58,72,71,51,63,76,83,80,68,100,105,74,47,47,47,55,98,85,55,86,84,73,65,68,81,54,59,54,67,81,69,58,59,60,53,57,57,55,59,57,58,56,60,64,63,59,71,67,67,57,65,69,72,73,57,51,43,56,86,86,80,70,60,57,60,59,60,59,60,62,63,69,71,62,55,44,38,32,18,70,75,86,79
68,68,76,68,59,57,60,72,70,64,84,91,65,81,53,30,53,60,67,62,68,64,71,72,69,41,49,57,65,67,49,56,74,74,68,64,57,60,61,81,78,81,81,83,69,46,57,66,64,63,65,67,71,41,47,47,55,69,72,78,66,71,62,61,65,66,58,61,64,72,72,64,71,66,60,56,63,59,61,57,63,64,77,43,65,48,50,51,81,105,80,54,52,53,53,61,39,50,53,56,47,40,45,58,95,108,99,97,70,68,74,62,82,76,70,62,72,68,60,71,68,55,53,54,58,43,60,60,62,64,62,63,64,64,61,61,63,63,63,62,70,85,79,73,19,46,71,66,75,71,66,69,59,65,63,59,66,62,63,56,48,59,101,95,57,59,69,40,62,61,70,72,61,69,56,86,69,55,48,56,52,70,64,28,65,70,72,27,20,27,34,91,70,59,77,93,67,80,68,74,67,67,66,66,83,85,67,62,58,54,55,60,61,59,53,62,59,63,59,72,70,65,60,60,63,64,65,68,64,70,68,72,55,63,88,90,69,67,62,59,62,57,61,61,60,65,62,58,63,67,60,68,56,55,56,58
65,63,67,68,65,52,53,73,71,65,57,65,43,71,99,82,73,63,57,51,57,60,59,64,67,68,85,84,71,79,89,74,69,59,60,57,58,56,66,40,108,106,87,71,57,68,73,67,60,64,58,60,58,66,92,102,87,90,84,56,65,66,64,63,66,69,51,64,59,73,70,68,64,56,73,48,60,63,64,57,61,59,57,83,66,65,68,56,85,67,56,69,50,51,52,53,57,74,81,34,57,56,58,51,45,47,43,92,90,88,75,51,86,81,54,68,67,71,72,62,53,68,64,61,61,65,74,70,55,51,54,60,64,65,67,67,64,64,63,64,63,63,59,57,83,79,55,74,71,75,100,89,71,68,57,48,55,62,59,65,66,62,64,53,62,57,58,51,71,50,76,67,61,63,69,71,65,50,73,91,115,99,68,87,76,80,56,61,58,63,65,67,50,53,74,69,77,61,70,79,94,70,46,70,59,53,56,44,56,84,87,77,48,49,45,55,62,64,66,72,67,66,61,64,62,62,66,62,64,67,71,68,62,76,68,55,52,71,75,83,69,70,68,67,66,68,64,65,64,74,64,69,74,60,56,56
68,92,91,75,66,50,54,58,73,60,62,59,70,67,70,69,75,62,52,59,93,80,65,61,58,58,68,66,67,73,65,63,65,58,60,58,58,57,58,57,55,58,61,83,65,63,77,77,81,70,67,61,63,64,41,61,57,60,62,68,53,55,64,63,67,65,65,60,64,66,71,72,63,69,74,51,57,59,67,62,62,63,59,78,67,71,68,63,48,86,78,81,66,56,57,60,59,51,48,57,68,76,36,50,48,59,59,49,54,46,48,90,65,59,62,64,68,65,55,66,63,66,68,71,64,66,62,65,64,69,71,71,56,58,64,69,65,63,64,63,61,63,60,69,61,80,76,73,67,64,72,28,41,60,71,58,53,90,59,64,61,66,67,65,69,59,63,65,65,51,74,75,68,57,72,74,51,64,65,24,46,61,50,57,75,60,77,57,60,56,52,63,63,96,16,57,86,99,59,45,86,67,68,78,101,90,73,66,69,91,92,83,74,70,69,72,71,48,56,73,71,68,66,65,65,65,64,66,65,62,59,64,65,67,64,65,71,65,66,56,51,70,84,77,73,67,62,61,59,65,103,86,77,66,59,89
54,64,58,67,72,87,70,70,70,83,64,66,57,63,74,79,77,54,67,66,51,60,77,84,66,58,66,69,81,56,66,66,63,68,71,59,63,54,65,78,117,117,85,57,64,93,96,98,100,62,66,63,68,67,71,69,43,65,62,50,67,71,72,53,62,64,68,53,64,58,75,77,64,70,66,85,54,62,66,60,56,53,48,63,69,69,55,78,73,73,50,60,53,82,62,61,60,54,48,53,57,60,77,55,53,69,62,65,81,59,63,73,67,83,71,58,69,66,70,53,55,53,62,66,81,88,70,73,65,69,61,65,75,73,62,50,57,63,66,63,65,64,66,64,62,58,57,63,66,73,74,67,79,38,30,49,64,99,101,92,88,82,129,93,64,59,64,65,101,66,60,50,94,87,72,62,61,61,61,61,75,37,83,73,74,74,60,90,93,88,81,61,68,38,43,104,62,31,34,82,66,66,83,72,23,46,51,61,59,37,68,68,75,65,63,68,58,63,72,79,50,51,68,69,73,67,63,70,56,61,58,62,64,68,67,73,67,73,71,71,75,79,77,71,54,77,69,68,57,61,22,20,40,59,68,62
78,53,72,70,72,65,74,69,62,45,106,86,70,70,102,86,78,84,73,97,94,75,37,23,63,72,67,67,69,62,60,64,75,48,57,77,57,58,68,81,62,55,62,71,67,69,65,62,55,82,86,99,78,68,63,65,77,60,125,100,69,66,71,69,79,66,52,45,64,63,66,73,72,74,79,69,50,45,83,40,34,50,48,60,67,52,82,69,70,38,83,58,69,56,49,67,60,57,59,61,64,69,65,58,57,22,21,67,62,68,68,60,60,54,78,83,66,67,62,63,60,60,68,69,66,78,71,67,61,68,65,71,75,74,69,73,73,56,58,61,65,65,62,64,61,62,60,68,63,59,57,65,67,69,69,74,34,65,57,36,51,52,72,33,64,68,74,47,44,78,70,68,73,39,87,76,64,76,64,62,70,70,77,74,47,49,76,70,72,65,61,82,57,55,60,61,23,67,67,69,56,57,18,57,23,52,86,26,55,64,88,84,24,65,67,64,54,60,50,45,57,75,77,67,72,76,40,48,54,60,67,65,70,66,53,52,40,41,48,40,61,71,69,59,52,48,49,66,65,60,55,65,75,33,36,55
93,67,70,72,69,64,80,75,81,68,30,59,77,83,26,55,77,76,79,81,83,84,84,89,65,73,71,67,62,54,53,54,57,53,53,90,61,69,72,71,71,72,69,71,73,68,69,70,69,70,69,64,63,80,88,82,71,83,34,75,66,69,71,76,73,73,26,74,84,79,98,83,42,42,50,70,70,75,67,85,99,96,93,88,69,70,80,43,78,78,85,56,74,47,76,70,71,77,70,57,63,66,59,67,62,64,60,61,73,34,45,41,53,62,63,54,80,64,51,53,84,61,61,51,64,64,63,77,90,70,68,64,65,65,66,62,68,73,68,70,57,53,55,71,69,63,65,65,65,59,67,64,62,74,68,68,77,72,50,61,66,66,58,64,95,96,58,65,57,58,75,75,62,66,54,48,79,70,67,65,64,62,71,78,67,76,67,54,72,73,75,54,61,55,53,57,75,74,56,55,52,48,60,59,61,64,55,56,64,77,75,48,69,57,53,54,64,58,36,61,71,68,63,62,57,58,66,62,69,86,80,75,90,86,81,68,69,84,94,79,61,54,61,58,60,61,63,61,63,85,78,60,62,64,68,81
65,58,60,58,66,72,89,38,48,57,92,68,55,56,76,80,78,74,77,77,82,82,76,79,77,72,72,67,69,58,56,54,57,57,65,58,62,66,67,76,80,36,40,58,68,68,67,73,75,71,68,71,71,67,76,65,78,107,76,72,75,70,75,73,74,75,86,79,66,74,81,74,85,85,83,93,51,70,74,70,62,57,54,94,89,47,48,72,55,63,74,86,58,89,76,60,59,65,78,73,72,64,64,65,75,79,64,66,77,80,75,74,83,87,68,47,70,65,67,57,73,67,75,65,74,70,74,59,55,46,86,74,86,96,84,67,64,68,66,67,70,64,78,58,59,65,61,58,65,63,63,66,61,61,45,98,90,68,63,79,78,45,55,62,60,49,63,77,61,57,58,67,73,72,63,65,78,72,72,70,68,67,65,70,62,69,61,77,58,74,77,73,62,61,60,62,66,58,53,67,63,59,57,61,64,64,57,51,53,68,34,62,56,56,58,61,59,67,76,76,94,82,72,66,60,58,56,59,63,55,68,66,64,64,65,68,48,55,65,72,69,65,78,81,72,62,61,63,65,55,68,56,58,78,73,75
38,61,68,65,46,51,43,54,53,57,55,82,69,54,59,63,82,77,76,77,66,59,73,84,84,69,71,67,67,72,66,78,87,77,64,59,67,70,66,68,65,74,71,79,65,72,64,68,74,79,67,73,70,74,60,81,76,70,62,61,60,59,78,84,74,73,71,77,75,79,77,77,81,81,80,81,91,70,71,83,52,44,52,49,68,65,62,51,61,63,77,76,76,81,79,80,66,57,65,71,83,75,71,75,74,77,72,78,70,76,55,77,64,64,65,69,53,87,68,57,85,67,66,52,48,58,59,57,70,69,63,63,62,69,56,79,66,67,69,63,64,70,56,57,92,83,58,61,49,55,66,61,66,64,90,54,60,71,66,65,63,60,69,78,48,52,66,53,98,66,46,59,81,69,72,62,73,77,76,73,68,71,73,64,62,62,62,67,62,57,57,67,62,62,65,59,63,61,67,60,56,53,45,44,56,87,93,48,73,63,59,62,59,67,49,56,101,47,91,75,61,30,53,59,55,83,60,62,66,74,67,70,66,65,60,63,69,75,74,56,63,59,67,61,49,60,68,50,56,73,70,68,71,72,67,62
75,81,62,84,47,47,52,43,40,36,78,66,61,77,63,86,102,85,66,60,79,95,63,89,106,104,95,88,85,73,71,65,45,23,53,87,60,73,79,84,69,80,60,92,45,71,70,65,37,63,69,67,70,67,44,52,67,77,73,70,74,73,71,66,61,88,76,73,70,75,67,73,70,68,72,81,75,83,68,67,67,75,81,70,69,73,67,54,69,94,98,88,79,73,75,80,77,77,72,73,77,79,79,74,75,68,79,78,74,75,76,67,69,68,61,62,59,69,36,77,77,65,55,51,51,65,71,66,70,78,55,66,71,67,72,97,73,73,78,48,73,75,48,113,62,90,81,65,85,91,78,58,57,60,79,71,75,44,67,61,57,68,72,76,71,85,87,89,49,64,105,96,83,102,83,72,34,49,58,62,67,65,65,64,60,62,69,62,61,59,69,61,63,58,62,61,64,64,70,58,68,69,68,69,68,60,68,72,68,54,60,60,64,51,83,63,61,62,69,59,66,62,65,39,44,40,78,63,57,89,87,58,99,100,69,67,66,68,66,67,81,107,96,83,62,58,65,68,74,70,70,73,74,72,72,70
49,71,73,65,60,73,93,78,76,89,110,66,91,74,64,69,54,70,62,75,70,58,72,74,63,64,58,50,53,85,88,90,77,75,77,68,58,81,53,52,55,58,71,56,100,84,35,117,80,85,70,69,70,77,83,42,55,46,77,80,71,70,68,71,74,69,72,88,77,71,71,66,61,64,69,69,86,81,64,68,67,64,66,62,57,66,74,59,26,40,59,75,74,80,68,88,74,76,76,69,74,80,75,84,62,60,75,78,75,79,73,58,66,68,55,54,54,53,72,59,50,53,50,51,48,50,52,63,66,68,72,43,65,69,71,69,53,89,77,44,81,63,56,61,71,73,66,65,74,36,66,72,72,67,47,66,53,86,63,56,72,72,71,71,69,69,73,66,82,66,68,62,64,62,59,58,51,81,91,74,55,100,88,73,64,59,64,56,64,66,63,60,60,54,62,60,64,52,55,66,71,68,67,70,66,72,70,73,103,61,96,102,64,85,67,74,78,52,83,61,64,65,62,61,66,68,73,78,29,21,80,14,65,53,71,59,62,66,63,78,98,37,71,71,69,72,68,68,69,71,71,68,70,72,67,67
66,75,76,63,65,72,64,64,68,40,89,43,60,31,57,61,84,75,52,36,40,48,67,78,85,70,41,44,37,44,53,59,56,50,59,94,96,115,64,57,67,65,64,68,57,70,87,98,81,84,58,74,77,67,60,78,68,58,54,58,86,73,73,72,68,70,73,65,61,79,87,79,80,61,66,66,68,78,66,63,66,64,63,67,67,68,71,75,85,82,65,64,64,66,70,64,88,97,97,98,92,86,60,56,54,60,65,71,73,73,97,84,59,71,62,57,56,58,59,51,47,50,53,52,57,55,58,77,76,67,71,72,83,50,65,73,76,66,76,91,75,70,70,88,70,64,69,65,64,55,96,67,73,65,72,80,79,72,69,68,73,74,76,73,80,72,70,70,66,78,65,70,68,66,72,73,75,74,68,59,98,49,45,81,79,71,71,78,68,65,66,61,62,64,63,61,59,61,79,75,51,65,68,66,74,69,73,66,64,69,68,64,69,63,74,63,69,60,59,60,53,61,65,60,67,71,61,71,61,57,60,60,48,52,65,72,62,66,66,37,38,68,70,65,64,60,66,68,70,67,69,71,67,70,71,70
61,75,73,69,58,62,66,61,57,50,45,61,73,62,56,60,65,61,62,62,53,53,55,58,55,61,79,80,72,67,78,85,85,61,79,25,44,58,60,78,52,75,46,94,72,53,44,39,59,82,62,65,71,81,94,83,57,63,63,73,44,50,62,67,67,70,65,68,69,69,63,60,76,93,76,76,86,67,65,93,88,73,68,66,62,65,65,67,67,64,81,75,61,81,64,72,70,68,66,70,66,69,72,60,83,55,64,60,69,75,61,65,63,67,69,54,56,55,56,60,52,54,53,52,73,72,74,70,77,63,74,85,74,77,86,63,48,63,68,65,60,64,78,67,66,67,70,64,72,65,81,66,76,67,76,45,80,68,68,63,70,70,73,71,64,75,70,68,68,66,76,78,77,47,57,62,64,74,75,74,62,65,86,103,49,60,69,37,37,52,84,87,79,85,76,80,72,66,58,58,71,77,43,53,69,72,70,70,66,62,74,69,65,65,65,71,66,73,77,90,97,58,64,60,62,63,65,71,59,60,59,66,63,60,66,75,78,90,78,71,71,64,61,58,70,68,62,62,64,68,68,66,71,70,70,69
72,80,70,46,55,58,59,52,56,57,62,57,62,56,54,65,48,64,69,63,61,51,51,61,57,57,46,58,58,68,62,75,77,66,66,68,71,81,85,66,61,75,76,39,21,55,56,60,55,63,72,75,76,69,61,60,56,57,56,56,67,67,68,66,54,68,80,84,75,63,58,58,52,57,59,63,71,126,94,104,43,47,81,69,67,64,69,66,66,62,72,75,78,73,84,85,69,57,48,74,61,51,38,107,80,48,61,61,66,30,56,54,66,55,56,59,54,53,57,71,63,69,55,59,62,71,66,70,70,63,53,68,64,55,58,77,77,82,76,65,61,69,69,59,57,80,83,84,75,75,76,74,70,67,68,57,68,68,70,64,65,68,60,66,65,70,67,67,64,62,59,56,65,64,105,80,86,83,51,70,113,70,74,69,61,60,90,77,77,73,84,79,44,53,52,49,54,60,54,63,79,60,72,67,74,58,73,91,91,86,79,82,82,79,80,86,91,96,65,57,52,70,64,66,63,61,70,71,69,72,59,65,64,62,48,42,56,63,44,67,66,60,59,52,64,77,72,73,61,59,58,52,58,73,72,71
53,60,70,67,59,60,71,63,63,61,64,59,63,64,61,74,66,66,86,140,79,81,56,61,72,74,70,56,70,67,70,72,64,53,66,87,71,64,70,68,71,64,50,83,73,84,60,53,63,76,77,80,78,71,83,68,63,59,60,54,59,65,61,62,64,76,54,54,69,73,66,79,82,79,73,66,53,65,65,56,61,63,75,67,57,69,63,86,72,65,65,65,68,76,76,77,92,75,65,67,75,75,83,49,85,74,95,67,78,71,69,77,59,65,60,53,56,53,54,62,58,66,58,71,69,58,77,72,65,79,53,60,53,71,71,65,70,76,72,70,73,58,55,69,69,68,61,68,77,86,71,75,70,69,65,67,66,71,69,67,62,72,64,71,65,79,64,69,68,70,78,63,69,62,39,37,69,66,73,76,55,70,74,70,72,69,68,48,59,65,71,66,56,65,71,72,70,72,71,68,67,65,62,61,73,67,65,57,69,70,64,61,67,62,62,63,53,95,60,65,72,73,79,73,63,63,76,70,69,71,65,67,76,82,48,62,75,77,65,69,64,54,58,63,58,63,67,64,64,69,71,67,60,49,38,39
53,61,62,62,66,72,69,64,62,64,72,76,69,65,70,35,58,68,63,63,66,65,71,79,55,71,60,65,69,58,54,68,69,69,61,61,66,86,79,67,82,71,43,51,47,66,74,66,68,67,41,37,66,69,64,47,70,76,68,65,78,94,90,75,67,69,51,68,77,73,59,54,59,67,98,88,82,69,61,61,74,75,74,87,86,90,34,52,66,73,67,67,62,65,64,69,75,68,66,69,52,56,60,71,86,90,57,69,42,66,60,46,49,56,57,60,55,62,44,63,74,76,65,75,69,68,54,71,65,63,62,71,68,63,73,69,69,69,78,86,80,72,73,57,53,63,63,71,82,67,67,84,75,69,72,69,76,78,74,72,66,60,70,61,67,68,76,74,71,73,40,88,80,65,64,69,67,66,66,69,64,54,48,72,71,69,67,75,52,38,90,68,71,59,60,49,37,34,32,33,81,67,61,63,64,69,71,81,64,55,45,69,67,74,66,68,69,54,65,51,54,71,39,61,63,69,73,74,71,72,71,72,26,45,59,114,122,94,84,62,63,59,66,72,68,58,61,70,67,65,62,64,67,65,64,63
1 64 72 61 71 78 71 72 72 67 68 69 76 57 67 65 68 69 66 67 66 83 64 73 75 64 41 55 57 61 56 59 59 60 62 62 53 49 83 58 64 68 54 51 56 72 64 96 97 76 62 53 54 56 65 80 82 59 68 57 62 69 77 73 47 54 69 73 73 63 65 60 67 93 62 51 56 66 61 62 67 81 67 71 66 64 64 66 63 69 69 70 73 35 31 56 66 60 56 67 74 58 68 66 65 69 68 48 89 72 71 66 68 74 47 85 70 64 58 79 85 62 36 53 49 71 84 58 55 61 67 59 54 82 76 62 83 40 50 85 71 68 69 75 67 68 42 58 45 62 62 85 93 87 81 74 77 82 83 61 38 62 78 91 73 67 86 91 76 58 74 82 98 98 44 46 54 64 80 82 70 72 87 93 71 85 80 79 80 74 73 71 64 60 94 101 65 50 64 66 70 61 67 87 86 51 49 62 60 72 92 75 64 60 58 60 69 68 34 47 71 78 52 47 55 61 46 60 63 48 61 57 47 46 67 83 79 74 67 66 64 65 54 67 55 71 40 56 45 72 78 79 65 63 60 64 63
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1,1,1,1,2,0,2,0,3,0,4,1,2,2,1,0,1,3,2,1,3,1,0,3,0,1,4,1,1,0,1,1,1,2,0,1,3,0,1,1,1,2,2,0,1,0,2,2,2,0,1,3,1,3,2,1,0,1,4,1,4,2,4,1,2,1,2,0,3,3,1,0,0,2,1,4,2,1,1,0,2,2,0,2,1,1,1,1,3,2,3,2,0,3,2,3,0,2,4,2,0,1,3,2,2,2,1,2,1,0,0,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,3,0,1,1,3,5,1,1,0,0,0,1,1,3,7,3,3,2,2,1,0,1,3,3,3,1,1,3,2,5,3,2,2,2,2,3,1,3,3,3,2,3,2,2,0,1,3,4,4,3,1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0,0,0,0,0,2,0,0,0,0,0,2,2,1,1,2,0,2,1,1,2,0,1,3,3,4,1,3,4,1,4,1,1,3,4,1,1,1,0,0,0,1,1,1,2,3,2,0,2,2,2,1,2,3,0
1,0,2,2,0,1,1,1,1,1,1,2,1,0,1,2,1,3,0,2,1,2,1,0,0,2,1,1,0,2,3,1,0,1,0,2,1,1,1,0,3,1,2,1,2,1,1,0,0,1,1,1,0,2,1,0,1,1,3,2,4,1,3,1,1,2,0,1,3,1,1,3,1,1,0,1,3,2,3,2,4,0,1,2,0,2,1,0,1,2,3,2,1,2,0,0,2,1,3,0,0,2,2,1,3,3,1,2,1,1,0,1,0,4,3,2,0,1,1,0,2,2,1,1,6,2,2,0,0,1,1,2,2,2,1,4,5,2,4,0,1,2,0,3,1,1,2,3,1,2,1,2,4,5,1,3,2,4,2,1,4,5,5,4,4,0,0,2,1,4,3,2,4,1,1,1,2,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,3,0,0,0,0,1,3,1,2,1,0,0,0,1,1,2,1,0,0,3,1,0,1,0,0,6,2,3,0,3,0,1,1,1,1,2,0,3,3,0,5,4,1,1,0,2,2,0,2,3,0,1,0,2,2
1,1,0,3,1,1,3,3,2,3,0,1,1,4,1,3,0,4,3,0,0,2,3,4,3,3,2,0,1,1,2,5,5,1,2,1,0,2,2,2,1,2,2,2,1,3,1,3,4,0,2,1,1,0,1,2,2,0,1,2,2,0,2,1,1,0,2,3,3,2,2,2,1,4,1,2,1,0,0,1,0,2,2,3,2,1,1,0,1,0,1,2,1,1,0,0,1,1,0,2,2,3,1,2,1,0,0,2,2,0,2,0,1,0,1,1,4,1,1,4,3,3,1,1,4,4,1,4,0,0,5,0,5,1,0,2,3,4,3,3,2,4,3,1,4,1,1,3,2,2,4,0,1,1,1,3,3,1,3,1,3,3,5,0,0,3,2,3,1,3,5,3,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,4,0,2,3,0,0,1,1,0,0,0,1,0,2,1,0,3,1,3,2,1,0,4,2,2,0,1,1,2,3,1,4,0,1,1,0,1,1,1,1,1,1,4,1,2,2,1,1,3,2,0,2,2,2,0,2,3
3,1,3,0,1,1,0,1,2,2,0,1,0,1,1,2,2,2,3,1,0,2,3,2,0,1,2,0,2,2,0,2,1,0,2,1,2,1,1,0,0,2,2,2,1,0,1,4,1,1,1,0,1,0,3,2,1,0,0,2,0,2,0,2,6,0,0,0,0,1,3,5,0,0,4,0,5,3,3,5,2,4,2,2,4,2,3,1,1,0,2,1,0,1,1,1,3,2,2,2,2,2,1,2,1,2,2,2,0,0,0,4,0,1,1,3,1,0,3,1,2,3,1,2,0,1,0,2,1,1,1,4,5,1,1,5,5,0,2,0,0,0,4,1,4,0,4,1,0,1,4,3,3,6,1,0,2,1,3,5,5,2,1,4,1,5,4,5,1,1,1,3,2,2,6,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,2,0,0,1,0,0,0,0,2,3,1,1,0,0,1,1,3,0,1,1,1,2,1,4,1,4,3,1,2,3,2,0,1,0,1,0,0,3,0,3,0,2,2,8,1,2,1,5,3,2,1,2,3,2
3,2,0,2,2,1,0,5,2,1,1,0,0,0,1,0,1,4,1,2,0,0,0,0,2,0,0,2,1,2,2,0,1,0,5,1,1,2,1,1,4,2,3,1,2,1,0,0,2,0,0,2,1,0,0,1,1,0,2,1,2,1,1,3,0,2,2,4,1,0,1,4,3,1,1,1,1,0,1,0,0,2,1,0,1,1,1,1,1,0,2,1,2,1,1,0,1,2,0,4,1,0,1,2,1,2,4,1,0,1,0,1,2,1,0,1,0,0,3,0,2,2,0,2,1,2,2,1,1,2,1,3,1,1,3,2,2,1,5,7,3,1,1,1,2,0,3,2,1,0,0,2,1,1,1,3,4,3,0,1,2,2,2,1,2,1,2,4,3,1,0,1,3,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,0,0,1,0,0,1,3,0,1,1,1,0,3,4,2,1,2,3,2,1,0,3,2,3,3,2,1,1,3,3,0,1,1,1,0,1,3,3,1,1,1,1,2,2,3,2,3
1,1,2,2,0,2,1,1,2,1,3,4,2,3,0,2,1,2,1,0,0,2,2,3,0,2,1,2,2,1,0,1,1,1,2,2,1,1,0,3,2,0,2,4,1,1,1,2,2,2,4,2,0,0,3,1,0,4,0,2,1,1,1,1,3,0,2,1,3,1,3,1,1,0,1,2,0,0,0,1,1,1,0,2,0,2,0,2,0,2,1,2,1,0,1,2,3,1,1,1,0,2,0,1,2,2,2,1,0,1,0,1,0,1,1,1,1,0,2,0,0,2,2,1,1,1,0,3,0,3,3,1,1,3,0,2,2,4,4,2,2,2,0,0,2,3,0,1,1,2,0,4,0,0,3,2,2,1,3,3,1,1,5,2,3,3,3,4,6,1,1,2,2,7,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,0,1,1,2,0,2,0,0,2,2,0,4,4,1,1,1,2,1,0,2,2,2,2,1,2,4,0,1,5,1,0,0,1,1,1,2,1,0,1,2,0,1,0,6,1,3,1
2,0,0,3,0,2,1,0,1,2,6,1,2,2,1,2,1,1,2,3,2,0,3,2,0,0,2,2,0,4,2,1,0,1,2,1,1,3,3,1,4,0,2,2,3,0,5,0,1,1,2,1,1,3,1,1,1,2,1,1,0,3,2,0,3,0,1,4,1,2,1,2,2,3,0,1,2,0,1,2,1,1,2,0,0,1,2,0,0,1,1,0,0,3,0,1,0,1,0,4,4,1,4,1,4,0,0,1,3,0,1,0,1,0,2,1,2,0,1,6,0,2,0,4,3,3,0,2,1,0,1,2,0,2,2,2,1,2,4,5,0,0,3,2,2,2,0,2,1,0,5,0,1,1,3,3,6,2,2,3,7,2,3,2,0,4,4,3,2,2,5,4,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,3,1,0,1,0,0,0,1,0,0,0,2,1,0,2,1,3,3,2,2,2,0,2,0,2,2,1,0,0,0,1,0,0,0,0,3,2,0,2,2,0,1,0,2,1,0,3,1,0,0,3,0,0,1,0,1
0,2,3,1,1,0,2,1,2,2,1,1,2,2,0,0,3,2,1,0,3,0,1,2,2,0,2,0,0,0,0,2,1,1,1,0,1,4,0,2,0,2,1,1,0,1,2,2,2,1,1,1,1,0,2,0,0,2,1,2,1,0,0,1,3,2,1,4,0,0,3,0,1,2,2,1,1,1,3,1,1,2,2,3,1,2,2,0,2,2,0,0,0,3,2,5,1,1,1,0,1,4,0,3,0,3,2,1,1,0,3,2,1,2,1,1,1,3,3,4,2,1,1,4,1,3,0,0,5,4,0,2,1,1,1,7,3,3,1,2,2,2,4,2,4,1,1,4,2,4,3,2,3,1,3,5,4,3,1,3,2,1,1,5,1,3,1,0,1,3,2,1,1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,1,0,0,1,1,4,1,0,1,0,0,2,2,1,6,1,4,0,1,1,0,3,2,2,1,1,0,1,3,0,2,1,0,3,2,2,0,2,0,2,1,0,3,2,5,1,1
2,3,1,1,1,0,0,1,0,1,1,4,0,3,1,2,0,4,1,1,3,3,2,1,2,0,0,3,2,2,0,2,0,1,2,2,0,0,1,2,0,0,3,0,2,0,1,1,1,2,2,2,1,0,1,1,0,2,3,2,2,0,0,1,1,4,1,4,1,3,2,0,0,1,1,1,1,1,4,2,0,0,1,1,0,0,1,1,2,0,3,2,1,0,1,1,3,0,3,1,1,2,2,0,0,2,3,2,0,1,2,0,2,3,2,0,1,1,4,3,1,2,0,1,3,0,1,2,4,2,3,3,4,0,1,1,2,2,3,0,1,1,2,1,1,2,4,0,1,3,1,1,3,3,3,3,4,3,1,6,4,2,2,1,3,1,1,4,1,5,1,0,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,2,1,0,0,0,0,2,2,3,3,1,4,3,2,0,3,2,2,0,3,1,2,2,2,3,4,0,3,1,0,1,0,3,3,0,2,3,1,4,2,2,2,0,0,1
3,0,1,3,1,1,0,0,1,0,2,3,2,4,0,4,3,1,1,0,0,2,0,0,0,3,1,2,0,2,1,2,3,1,3,2,1,2,2,1,1,3,2,2,1,0,2,0,0,2,2,0,0,1,2,2,2,1,0,2,1,0,1,1,1,2,1,4,2,2,1,0,1,4,1,3,0,3,0,1,0,4,2,1,3,1,0,1,0,0,1,2,0,0,2,1,1,0,2,3,2,3,1,3,2,0,1,2,0,1,3,0,2,0,1,1,2,1,2,1,2,2,2,2,3,1,3,1,1,2,1,3,1,4,1,2,2,3,6,2,3,4,2,1,0,4,3,0,2,7,3,2,3,0,3,5,0,3,5,5,3,1,2,4,1,0,6,3,3,1,1,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,2,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1,1,2,0,1,2,2,2,3,0,0,3,1,1,0,2,0,0,1,0,4,2,1,4,1,0,4,2,3,2,2,2,1,2,1,1,2,2,4
1,0,1,1,4,3,1,0,0,0,2,0,1,4,1,1,2,1,2,1,3,1,2,3,2,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,2,0,0,0,0,2,0,0,0,3,2,2,2,2,1,2,0,1,1,1,3,0,2,1,5,1,1,2,1,0,1,2,1,3,1,1,1,2,0,4,0,1,3,0,1,1,1,2,2,0,3,2,0,1,1,0,2,1,2,0,4,4,2,1,5,2,2,1,0,0,2,5,1,2,1,2,1,1,4,6,1,2,0,4,2,3,0,3,0,0,3,2,1,2,1,2,3,1,5,2,2,2,2,1,4,4,2,2,1,1,1,1,0,1,4,3,1,2,4,3,6,2,3,1,2,3,2,4,5,1,3,3,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,2,0,1,2,2,1,1,3,0,3,2,4,2,3,2,0,1,5,3,0,0,2,1,0,1,1,0,2,1,1,2,0,1,3,0,1,0,1,1,0
1,1,0,2,0,0,0,2,0,0,0,0,0,1,0,0,3,0,2,3,1,2,0,0,1,1,5,1,0,2,1,1,0,1,1,3,1,0,4,3,0,1,2,3,2,1,2,1,2,1,0,4,4,1,1,2,3,2,1,1,2,1,0,3,2,2,2,3,1,2,1,1,1,0,1,1,3,1,4,0,2,1,0,1,0,0,0,2,1,2,1,5,0,0,2,1,2,6,0,3,0,1,1,0,1,0,1,1,1,1,2,1,1,1,3,2,1,2,1,1,2,2,2,0,1,4,3,2,2,2,4,2,3,0,1,1,5,2,0,3,1,2,1,1,0,4,5,4,2,1,0,4,4,1,2,6,4,0,2,3,2,3,1,3,3,3,2,4,5,3,2,1,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,3,0,2,1,5,0,0,1,1,1,1,1,0,0,4,2,0,2,0,0,0,2,1,4,2,0,0,0,2,2,1,1,0,2,0,1,0,0,3,0,1,1,0,0,0,2,1,1
1,0,2,2,0,4,0,1,1,3,0,0,1,1,2,2,5,1,0,1,1,1,1,4,2,1,0,1,0,1,2,2,3,3,4,1,0,1,1,1,0,1,2,0,1,0,1,3,0,1,1,0,0,0,4,1,1,1,2,0,3,1,0,0,1,1,2,3,1,2,2,4,1,1,6,3,1,1,1,0,1,0,2,1,2,2,0,0,2,2,0,2,3,1,3,1,3,0,0,1,1,3,4,1,1,3,2,1,4,1,2,1,2,2,2,0,0,1,2,1,1,2,0,1,2,1,4,0,2,5,2,3,2,1,3,3,4,3,3,3,2,3,2,4,2,3,3,3,2,2,6,1,4,1,1,6,2,4,1,0,2,1,2,3,0,5,2,1,1,3,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,3,0,0,2,0,1,2,1,1,1,1,0,0,2,5,1,0,0,1,2,1,2,1,0,1,0,2,1,1,1,4,3,1,2,0,1,4,4,1,1,0,2,0,2,2,0,0,5,1
1,1,1,2,1,1,1,0,2,0,0,2,2,1,1,0,0,0,2,3,0,1,3,1,0,1,3,1,1,2,1,1,0,3,4,2,3,1,0,1,2,0,1,1,2,1,1,1,1,1,0,2,2,2,2,2,8,2,1,2,2,0,4,0,0,2,3,2,1,1,2,1,1,2,2,3,0,0,1,1,1,0,2,2,2,3,0,2,2,2,1,1,0,1,2,2,1,0,6,2,2,0,1,1,3,5,3,1,2,5,0,0,1,1,2,1,1,3,8,0,4,1,0,2,2,2,3,0,4,3,2,7,5,2,3,2,3,3,0,1,3,1,1,3,2,1,3,1,6,2,5,1,1,2,1,6,4,4,0,4,3,0,3,4,1,2,1,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,1,2,2,0,3,1,0,2,3,2,2,0,2,2,1,1,1,0,1,1,3,0,0,1,1,1,2,2,0,2,3,2,1,4,1,3,2,1,0,0,2
2,0,0,1,2,1,2,1,1,0,3,0,3,1,1,1,3,1,2,0,2,2,2,4,3,1,1,1,0,0,2,2,1,0,1,2,0,1,3,1,1,1,2,1,2,0,1,0,2,1,1,0,2,0,0,2,1,2,1,0,0,0,2,2,1,2,1,0,0,2,0,3,2,1,1,0,2,0,1,0,1,2,3,1,2,1,3,2,0,2,4,0,3,1,1,1,0,1,0,4,3,1,1,1,1,2,0,0,0,2,0,4,1,2,4,0,3,2,1,5,2,3,1,3,2,2,0,1,3,2,1,2,0,1,3,3,4,1,4,1,3,0,3,2,2,4,5,1,3,4,1,4,5,0,2,2,1,0,0,3,3,2,3,2,1,2,2,1,2,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,1,0,1,1,1,0,1,0,1,1,2,0,2,3,2,2,2,0,1,3,1,3,1,1,0,2,0,0,0,0,2,4,4,1,0,3,2,2,1,1,1,2,5,0,1
0,1,0,1,2,0,3,0,2,2,1,0,1,3,0,3,1,2,1,1,0,0,2,0,2,2,0,2,2,1,4,3,1,3,2,2,3,1,1,0,4,2,0,2,1,1,1,2,2,0,3,1,0,4,3,3,1,0,1,1,4,3,2,1,1,1,1,0,2,0,1,1,1,0,2,0,2,1,2,2,1,1,0,2,0,1,2,1,2,0,1,0,2,0,1,1,0,3,2,1,1,2,1,1,3,1,0,1,2,2,1,0,3,2,0,3,3,1,1,1,2,1,2,2,0,1,1,1,1,4,2,5,1,4,4,4,4,3,4,0,2,5,3,2,1,3,2,3,0,2,1,8,3,2,4,6,1,2,2,0,3,0,3,1,0,2,2,4,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,2,2,1,0,1,2,1,2,0,2,1,0,0,4,2,3,2,1,1,2,0,0,0,1,2,3,0,0,2,3,0,3,5,2,2,3,1,2,2,3,4,1,2,1
0,0,2,0,1,4,3,0,1,5,3,0,2,1,2,4,0,1,1,2,2,2,1,1,0,1,1,3,1,1,1,0,4,1,3,1,5,1,2,0,1,0,2,1,2,0,0,2,1,2,2,2,2,3,0,1,0,0,1,0,1,1,2,0,2,0,1,1,1,1,1,0,2,1,1,3,1,2,3,2,2,3,1,0,0,1,0,0,1,0,0,0,2,7,2,2,3,2,1,0,2,2,2,4,2,0,3,2,2,0,4,2,2,0,2,4,1,2,0,1,5,1,1,1,2,2,3,2,3,3,1,4,1,3,1,2,3,4,6,2,3,1,2,1,3,3,2,3,3,3,2,3,6,1,1,3,3,1,2,1,5,4,1,1,6,5,2,0,1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,1,0,3,1,1,2,2,1,1,2,3,1,0,3,1,1,2,2,2,1,0,0,0,3,5,2,0,0,0,3,3,1,1,4,2,2,2,3,1,3,2,1,3,4
2,2,0,0,0,3,1,0,3,2,1,0,0,3,1,0,2,1,0,1,1,2,1,2,0,2,3,1,1,2,0,0,1,1,1,1,3,2,0,1,1,0,1,0,0,2,2,2,5,0,2,4,1,1,1,0,4,1,1,1,2,0,2,0,2,2,3,0,1,1,1,1,1,1,1,1,0,2,3,1,3,0,3,3,3,3,0,0,3,0,1,2,3,1,0,0,1,1,1,1,0,0,2,3,0,5,1,2,1,1,0,0,0,3,3,1,3,6,3,4,1,1,2,1,3,0,1,3,3,2,0,4,2,3,2,5,1,1,1,2,3,4,2,2,4,3,1,3,3,3,0,2,1,0,4,2,6,0,4,3,3,6,2,1,2,2,1,3,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1,3,1,0,4,1,1,3,1,2,1,0,2,0,5,1,3,1,1,2,6,2,2,1,1,3,2,0,3,0,0,1,3,1,2
0,3,2,0,1,1,1,1,2,3,0,1,2,3,0,0,1,0,2,1,0,1,1,2,0,0,6,3,1,4,1,2,3,4,0,1,2,1,0,0,2,4,0,1,0,1,4,1,1,0,4,1,1,3,2,2,1,1,1,2,0,1,1,1,2,0,1,1,0,0,1,1,1,1,4,6,3,2,0,1,0,1,0,0,3,3,4,1,2,1,3,2,1,1,0,1,1,0,2,1,0,0,0,2,1,3,3,0,1,2,3,3,3,5,1,2,4,0,2,2,1,3,0,4,2,3,1,2,0,3,6,3,4,1,2,2,1,2,4,7,3,2,2,5,4,5,2,6,2,1,0,3,2,2,2,3,1,5,2,1,1,3,1,1,4,3,1,4,4,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,2,1,0,0,0,1,1,1,1,2,0,3,3,0,2,1,1,0,2,0,2,3,2,0,2,1,1,2,1,5,2,2,2,0,4,5,1,2,0,2
2,1,0,2,1,1,1,2,2,1,2,0,0,1,0,2,3,2,2,4,2,1,5,1,1,2,3,3,1,0,2,0,2,2,1,3,0,1,0,4,1,2,1,2,0,2,4,1,0,0,2,2,1,2,5,2,0,0,2,2,1,2,1,3,5,0,2,0,4,4,0,0,0,4,4,1,1,1,1,2,1,2,2,2,0,1,2,0,1,3,0,0,1,1,2,0,1,2,0,2,2,2,1,3,1,1,1,1,2,0,2,1,0,2,3,4,0,2,4,4,2,1,4,3,1,4,2,3,2,6,3,0,2,4,6,4,0,1,3,2,2,2,1,3,3,1,4,2,3,1,3,0,0,4,3,1,1,2,2,2,2,5,1,5,0,3,1,2,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,1,2,0,0,1,6,2,2,0,1,5,0,2,1,4,2,1,1,0,1,0,5,1,3,1,2,0,5,2,0,2,1,4,8,1,1,1,3
2,2,1,0,2,0,0,0,2,6,1,3,0,0,1,1,0,3,1,2,2,1,3,1,3,0,2,2,0,1,1,3,2,1,1,1,0,0,1,2,3,1,1,1,0,1,0,1,0,2,4,1,0,1,2,3,1,1,0,1,1,0,2,3,1,3,2,0,1,2,1,1,2,0,1,0,1,1,0,1,1,1,1,2,2,2,0,2,0,2,1,0,3,2,4,0,0,0,2,0,0,1,0,4,5,1,2,2,5,1,1,3,2,2,2,1,1,3,2,2,1,4,0,2,3,1,0,1,3,2,7,2,3,3,2,1,2,0,5,0,1,4,5,4,3,1,1,0,6,3,2,4,3,2,4,1,4,1,5,2,1,4,2,2,5,3,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,0,2,1,1,2,1,2,0,2,1,1,2,2,0,0,2,0,0,0,1,4,2,2,1,1,0,1,2,1,2,2,0,0,1,2
0,2,2,2,0,1,1,0,1,0,0,1,0,0,0,4,3,2,0,1,2,0,1,0,1,1,2,2,3,0,0,3,1,2,0,0,1,2,0,0,1,1,1,0,0,1,3,1,1,2,0,5,0,0,1,6,2,1,0,2,2,1,0,0,0,0,0,1,2,6,1,0,2,0,3,3,2,2,0,1,2,3,1,0,1,3,1,0,1,0,0,0,2,1,2,2,2,1,2,5,1,3,1,1,0,0,2,6,1,3,1,3,1,4,0,3,4,0,0,4,4,4,3,0,0,2,1,1,2,2,1,1,2,1,3,2,5,1,2,4,0,1,2,8,2,1,3,6,2,1,0,1,5,1,2,3,2,4,4,2,1,1,4,4,3,3,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,3,0,0,1,4,4,3,2,2,1,0,5,0,2,2,1,1,1,2,3,1,1,2,1,2,2,1,4,0,1,2,3,1,1,1,1,1,0
1,2,0,0,1,3,2,0,3,1,2,3,2,0,2,0,3,2,0,1,5,0,0,2,2,1,0,0,2,2,2,4,2,1,1,2,2,1,1,3,2,3,2,0,1,1,3,2,2,1,1,2,0,2,1,1,0,3,3,0,0,2,0,2,2,1,2,2,3,2,0,1,3,0,1,4,2,0,4,3,1,2,2,4,5,3,1,2,2,1,2,1,2,0,4,1,6,0,2,1,0,1,3,2,1,1,3,0,2,3,2,1,3,2,0,0,3,4,2,3,1,2,2,3,1,0,2,3,6,2,1,4,3,3,4,3,5,0,6,2,3,1,2,2,2,3,3,1,2,0,2,3,0,3,2,1,1,3,1,4,2,3,0,1,1,2,1,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0,1,2,0,1,0,3,1,0,1,2,2,0,1,2,2,2,3,2,2,2,1,0,1,2,2,6,0,0,1,1,0,1,2,2,0,1,1,2,1
0,0,1,0,1,1,3,4,1,1,1,1,0,2,1,2,1,2,1,2,2,0,5,2,1,1,1,1,2,0,0,2,1,0,1,1,0,1,3,0,0,0,2,2,2,1,1,2,3,2,2,2,1,2,1,2,0,1,1,1,3,0,1,2,0,2,2,0,3,2,0,1,0,0,0,0,0,3,1,1,1,0,2,2,1,1,1,3,2,2,3,3,4,1,3,0,1,0,2,1,2,1,0,2,5,3,2,3,4,0,2,4,2,0,6,4,3,1,0,3,2,0,9,3,3,3,3,4,3,1,5,2,3,5,3,5,1,0,2,3,3,3,2,3,3,1,3,4,0,2,6,1,3,2,4,1,2,0,2,0,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,4,1,0,1,1,1,1,1,0,0,2,4,1,2,1,2,1,1,1,3,4,1,1,3,0,5,1,2,1,1,2,0,1,4,1,3,0,3,0,0,3,2,0
1,2,1,2,1,0,1,1,1,2,1,1,2,1,1,3,1,2,1,0,3,0,1,1,2,2,1,1,1,2,3,2,0,1,0,2,1,0,0,1,0,1,3,3,2,1,1,0,1,0,4,2,2,3,3,1,1,2,1,3,1,0,0,1,1,2,2,3,1,0,1,0,2,0,1,3,1,0,0,1,2,1,1,2,1,1,1,3,2,0,2,2,1,0,1,4,0,4,0,2,4,1,3,1,2,5,2,2,2,6,2,5,4,2,2,3,2,3,1,3,3,2,4,5,1,4,2,2,2,2,1,5,3,2,5,5,7,4,3,1,5,6,3,2,0,4,1,2,4,2,4,1,1,4,2,4,1,2,2,1,1,1,3,3,1,2,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,3,1,1,0,0,2,1,2,1,0,2,1,1,1,1,1,0,2,0,2,2,0,3,0,4,3,1,3,1,3,0,1,6,2,1,4,1,1,3,2,0,0
1,0,1,2,1,5,2,0,1,3,3,2,2,5,2,1,1,0,1,2,0,1,0,1,2,1,2,2,1,2,3,2,5,6,0,2,2,2,1,0,2,2,1,3,1,2,0,1,0,0,2,4,0,2,2,1,0,0,3,0,0,1,1,2,1,0,1,0,2,1,0,0,2,1,1,1,2,0,1,1,0,1,3,1,2,0,2,2,1,4,2,1,0,0,2,1,1,1,2,2,4,3,2,1,3,1,2,1,3,2,1,2,2,2,3,1,4,1,2,1,3,3,5,1,2,2,3,1,4,3,3,1,2,2,3,6,2,2,1,3,0,3,2,0,0,3,3,4,5,4,2,3,2,0,0,1,6,2,1,4,3,0,3,0,2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,2,0,0,2,1,0,0,0,0,2,0,2,0,3,0,1,1,2,2,2,1,1,0,0,0,2,4,1,1,3,2,0,2,2,1,1,0,1,1,0,1,1,0,3,0
1,0,0,0,1,0,1,1,2,0,0,0,5,1,1,2,2,2,2,1,0,3,2,1,0,0,2,2,2,0,4,2,2,1,2,1,2,1,1,1,0,2,1,3,1,1,1,1,1,4,1,4,0,3,2,0,1,1,2,1,1,0,1,1,0,0,2,2,1,0,0,0,0,0,1,1,0,1,1,1,4,0,0,1,1,2,0,2,2,2,1,3,1,1,2,3,2,0,2,6,4,1,3,2,3,3,1,0,1,1,5,2,0,1,1,2,4,0,6,1,6,2,0,1,2,1,1,1,3,4,2,2,3,4,3,2,3,3,0,2,3,0,2,4,3,4,2,2,2,1,2,0,1,2,2,1,3,2,4,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,2,1,2,1,0,1,2,1,1,1,3,2,2,1,0,1,0,2,2,0,2,1,2,2,2,2,5,2,2,0,3,0,0,2,2,0
5,0,2,0,2,1,0,2,2,1,2,5,3,0,1,4,0,1,1,2,1,2,1,2,1,2,2,2,0,2,3,2,1,1,3,0,3,0,0,0,0,2,0,1,2,1,4,0,3,1,0,3,3,1,0,2,1,0,2,2,0,3,3,3,2,1,1,2,1,1,1,0,4,0,3,1,1,1,0,0,3,1,2,0,1,1,0,1,3,2,1,0,0,1,2,1,1,0,1,1,1,3,1,2,1,0,2,2,3,1,2,2,1,0,4,1,0,2,1,3,3,3,2,1,1,2,2,3,3,2,1,5,2,1,3,3,3,3,3,2,1,3,1,0,2,4,2,6,4,3,4,0,3,0,2,2,1,3,3,2,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,3,1,0,2,2,0,2,0,0,1,1,1,1,0,2,2,1,3,0,2,1,2,2,3,0,0,4,4,0,1,1,0
1,1,1,3,1,3,0,0,1,1,0,4,0,1,4,2,4,2,1,2,2,1,2,0,1,5,4,1,0,0,1,0,2,1,0,1,0,0,2,2,3,2,2,1,1,2,1,1,1,2,1,1,1,0,1,4,1,2,3,2,0,0,1,2,3,1,2,4,1,0,2,1,0,4,1,0,1,1,1,2,3,0,1,2,2,4,1,3,0,2,1,1,1,1,1,2,1,3,1,2,1,2,3,4,0,2,3,3,2,1,1,1,6,2,1,4,2,1,1,2,3,1,1,2,3,2,1,1,2,4,4,2,3,5,0,2,5,3,0,1,4,2,0,2,1,5,4,3,0,5,0,1,1,0,5,2,1,2,1,4,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,1,0,2,3,0,1,0,1,5,1,3,1,1,0,4,0,1,3,2,0,1,1,2,0,1,1,0,2,2,1,1,1,4,3
2,2,0,2,1,1,2,1,1,2,2,0,2,2,2,1,3,1,0,5,1,1,1,2,2,0,1,1,1,1,1,2,1,3,3,2,1,1,1,1,2,1,4,0,3,0,0,2,1,3,0,0,1,3,0,3,5,5,1,1,1,3,2,1,0,0,1,1,1,1,3,1,1,3,0,2,1,1,0,2,0,7,1,1,3,0,1,0,0,1,2,2,1,2,3,2,4,1,1,2,0,6,2,5,0,2,1,3,0,3,5,3,1,4,1,3,3,4,3,4,0,0,2,2,4,3,1,5,1,4,2,5,2,4,3,0,3,0,4,4,3,4,3,3,2,1,3,1,2,2,2,5,3,3,7,0,2,2,0,3,1,1,0,3,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,3,0,1,1,1,0,0,1,3,1,1,3,0,2,1,0,1,1,3,1,2,1,0,0,1,1,1,2,1,1,2,3,2,2
3,1,2,1,0,0,2,1,0,1,1,2,0,2,3,2,2,0,0,0,1,4,3,3,0,1,1,1,2,0,1,1,0,2,1,1,0,2,2,1,3,2,1,2,2,1,0,1,2,1,2,3,3,0,1,3,3,1,2,1,0,0,0,1,0,3,0,1,2,0,3,2,3,0,1,0,2,1,1,1,1,3,0,1,3,1,0,0,2,2,4,2,1,2,2,3,1,4,2,1,1,3,0,4,5,2,2,1,2,2,3,5,2,2,4,3,1,3,2,5,0,3,2,0,2,0,3,4,1,4,0,4,3,0,3,1,1,4,2,4,2,1,3,3,2,2,2,5,2,3,3,2,2,3,2,5,2,1,1,1,0,2,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,3,0,0,2,0,1,1,0,2,0,1,2,2,2,0,0,1,1,3,1,1,1,2,1,2,1,2,1,4,0,1,2,2,0,1,1,1,0
0,3,0,1,2,2,0,1,0,1,1,2,3,1,0,1,0,1,4,1,2,2,2,2,2,2,1,1,0,3,2,2,1,0,2,1,0,0,2,0,2,3,1,1,0,1,1,0,2,2,0,0,1,0,4,1,0,0,1,2,4,1,2,2,0,0,0,0,2,0,3,1,1,1,1,3,3,0,0,1,0,1,2,4,2,0,0,1,0,3,2,3,4,1,3,0,2,2,2,1,1,5,2,5,3,5,6,0,1,3,1,4,2,8,2,1,3,1,3,4,1,2,2,2,3,0,2,6,3,1,4,2,2,2,2,3,3,2,7,1,1,2,2,4,1,0,4,4,1,4,0,1,4,2,2,2,0,3,1,6,2,2,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,0,2,0,1,0,0,0,1,0,0,1,1,1,1,0,1,0,2,2,1,2,2,1,3,0,1,2,0,1,3,3,2,1,2,1,2,0,1,0,0,4,0,1
0,2,1,0,0,2,3,3,4,0,3,1,1,1,0,1,1,0,2,1,1,2,3,3,2,3,0,2,4,1,1,3,0,1,3,0,1,0,2,1,0,0,1,2,4,2,1,0,2,0,2,3,0,0,0,1,3,0,1,1,3,0,1,1,0,2,0,1,2,1,0,0,3,3,2,2,3,1,3,2,0,2,2,0,1,3,0,3,2,1,1,4,4,1,3,1,3,1,2,1,0,1,5,1,3,1,2,4,2,2,1,0,1,2,2,5,2,1,3,3,2,2,4,3,3,3,1,7,5,0,8,0,3,2,3,2,3,1,5,2,3,5,5,3,0,2,0,2,1,5,3,2,2,2,0,3,1,2,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0,0,4,1,0,2,0,0,2,2,3,4,3,0,2,5,1,3,2,3,3,3,1,1,1,2,1,4,0
1,1,1,1,2,2,0,0,1,2,2,1,1,2,4,1,0,0,0,0,1,0,1,1,1,0,5,0,1,1,2,2,1,0,0,3,1,2,1,1,1,2,2,2,0,3,3,1,1,3,1,1,0,1,0,2,2,1,2,1,1,0,0,0,0,1,0,0,2,1,1,3,0,1,2,3,1,0,2,2,1,1,2,1,0,4,2,2,1,3,4,3,0,2,0,2,2,1,2,5,4,5,3,6,1,1,2,4,3,0,1,2,3,2,2,0,5,1,3,3,3,2,4,5,2,1,2,1,2,6,4,6,1,1,0,2,2,2,2,3,2,4,2,5,0,5,5,3,4,2,5,5,4,1,5,1,3,3,2,1,0,1,2,1,0,0,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,2,1,0,0,0,1,1,1,1,2,0,1,1,2,2,2,0,1,0,1,2,4,1,4,3,3,2,3,0,0,1,1,0,0,1
1,0,2,2,1,0,1,1,0,5,2,3,0,2,0,3,3,0,0,3,1,1,2,3,2,4,3,1,1,0,2,0,1,1,0,3,4,1,3,4,0,2,0,0,0,0,0,3,0,2,1,2,2,1,2,2,1,1,2,2,1,0,1,0,1,2,2,2,0,2,1,2,3,2,3,3,1,0,3,0,2,0,0,2,1,3,2,1,2,3,1,4,2,2,3,1,3,1,3,2,2,3,1,1,3,3,6,2,2,2,2,0,1,6,2,1,2,1,3,2,2,2,4,1,0,1,4,2,3,4,1,7,2,2,4,1,2,5,3,2,1,1,3,1,2,3,1,4,4,2,1,3,1,1,1,3,0,2,1,1,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,2,0,0,3,0,1,1,0,2,1,1,1,1,1,0,1,2,1,2,5,2,0,2,1,2,1,3,0,2,1
0,0,1,0,1,2,2,0,2,1,3,1,0,2,1,1,1,3,3,3,1,1,0,1,2,2,0,0,2,3,1,0,1,4,2,2,1,1,4,0,0,0,1,3,1,2,1,3,0,1,1,3,2,1,1,0,4,0,0,1,0,1,1,0,0,0,1,1,0,3,2,2,6,3,0,1,3,1,1,2,4,2,2,4,4,2,0,3,1,2,3,2,1,1,2,3,0,3,2,2,3,3,2,0,1,3,5,2,4,3,4,3,2,4,3,1,2,2,0,1,1,0,3,1,3,2,1,4,1,1,2,4,1,3,1,0,0,1,3,2,4,0,3,3,2,2,3,4,1,3,0,4,2,1,1,2,5,2,0,1,1,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0,5,1,2,0,1,0,0,1,3,2,1,3,4,1,2,2,2,4,1,1,1,3
1,3,1,3,1,1,0,2,0,1,1,4,0,1,3,2,2,2,0,2,0,2,1,1,2,1,1,2,1,3,1,2,0,1,1,2,0,2,1,1,1,2,0,0,0,3,1,1,1,2,4,1,2,3,1,3,0,2,0,3,3,3,0,2,1,4,0,0,1,1,3,0,3,1,0,0,2,1,0,1,4,1,1,1,1,1,2,4,3,1,4,2,2,2,1,1,4,1,3,3,4,3,5,4,1,4,5,2,4,5,2,0,3,4,2,6,2,3,1,0,1,3,2,5,0,5,3,1,3,2,2,1,1,3,1,5,1,3,2,3,3,2,5,1,5,1,0,2,4,2,3,1,2,2,1,0,1,2,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,0,0,1,2,2,2,0,1,0,0,1,0,1,1,0,0,1,3,2,3,4,2,3,1,2,0,2,3
0,2,1,1,2,1,0,0,0,0,2,1,3,1,3,1,2,3,2,0,0,1,0,0,3,2,1,0,1,3,2,1,3,2,4,2,0,2,1,1,2,2,0,1,1,0,1,3,2,1,2,1,0,3,1,2,1,2,0,4,1,0,1,1,2,2,3,2,3,1,5,2,0,1,2,3,4,0,0,0,2,1,1,1,1,1,3,3,4,2,0,1,2,0,2,2,0,4,5,2,1,3,2,1,3,2,3,3,3,1,2,3,3,6,0,2,3,4,3,1,1,2,2,4,1,1,0,2,6,0,1,3,2,4,2,3,7,2,5,4,4,2,1,1,5,0,2,5,2,3,3,3,2,0,2,3,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,3,2,0,5,1,1,2,1,0,2,1,3,4,1,1,2,1,2,0,6,1,1
1,0,2,0,2,4,0,1,1,3,3,1,2,0,1,1,2,2,1,3,0,1,4,3,0,1,2,0,1,1,1,0,2,0,1,1,2,0,1,1,0,1,1,1,0,2,1,2,2,0,0,1,0,1,1,3,2,2,2,2,1,2,2,1,0,3,0,1,0,1,2,0,0,1,3,2,1,3,2,2,2,1,0,2,0,2,4,3,2,5,0,6,5,3,5,1,2,4,1,2,1,3,4,1,1,1,3,4,1,3,0,2,2,5,0,2,2,1,3,3,2,1,1,0,2,4,2,4,5,2,5,1,0,3,2,3,2,2,1,5,2,2,3,0,1,3,2,1,0,0,2,0,1,0,4,1,7,0,2,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,1,2,2,0,0,1,1,1,1,1,3,1,2,1,1,3,1,2,1,1,4,0,3,0,0,2,1
2,1,2,2,0,1,0,1,2,1,0,1,2,1,2,3,0,1,0,2,0,0,0,1,0,2,0,1,1,2,2,0,3,1,2,2,1,2,2,1,1,0,2,0,4,2,0,0,1,3,2,0,1,3,3,2,1,0,2,1,2,1,5,3,1,0,0,0,3,2,3,0,1,2,0,3,3,1,3,4,3,0,0,2,1,1,2,5,2,0,2,1,1,1,7,4,1,2,2,2,3,1,4,2,4,0,4,2,4,2,1,2,2,3,3,5,2,3,5,1,2,2,2,2,4,2,3,0,1,2,1,3,0,3,1,1,3,0,2,1,0,1,0,3,3,3,2,2,4,2,2,2,0,4,5,1,1,3,2,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,1,2,0,1,0,1,2,1,1,1,3,0,2,1,1,0,1,2,1,1,4,1,2,3,3,4,3,1,3,0,3,1
1,3,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,1,0,0,1,2,2,1,3,4,1,2,0,0,0,1,0,5,3,0,1,3,2,0,0,0,2,0,1,2,2,2,4,1,1,1,3,2,3,2,4,2,2,2,2,1,0,3,2,0,1,0,2,2,0,0,0,1,1,0,2,0,3,0,1,2,1,4,1,1,1,1,4,7,1,3,1,4,2,4,1,0,3,6,1,1,3,6,3,6,2,1,2,4,3,2,1,1,3,2,0,2,1,1,2,2,4,1,3,2,1,1,4,3,3,5,4,3,1,2,0,1,0,0,3,3,1,4,1,2,3,4,1,4,2,2,3,1,2,3,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,1,2,0,0,1,3,1,2,2,1,1,0,3,3,1,3,4,2,1,2,1,1,1,0,2,3,0,4,1,1
1,3,1,1,0,1,2,1,1,1,1,3,0,0,1,2,2,1,4,4,1,0,2,0,0,2,3,4,4,2,0,2,2,2,0,4,2,0,2,1,1,2,1,1,2,0,1,1,5,1,0,1,2,1,3,0,0,2,4,1,1,1,2,2,2,0,0,0,1,2,2,1,2,1,1,1,0,6,4,1,4,0,1,1,2,0,1,1,3,3,1,2,2,5,5,2,3,3,6,3,1,2,2,1,3,1,1,3,5,0,2,7,2,2,0,2,4,0,4,0,3,3,1,2,2,2,2,1,4,5,2,3,1,3,3,2,0,1,3,3,0,2,2,3,0,2,1,5,0,3,2,2,2,2,1,0,2,2,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,3,1,0,0,0,1,2,1,0,1,0,2,0,2,0,1,0,1,4,1,1,0,1,2,2,0,1,1,2,2,2,1
1,1,3,2,0,1,1,1,0,1,0,1,3,0,3,1,0,1,0,2,4,1,1,1,1,2,1,1,2,2,0,0,0,0,1,2,1,2,2,5,1,1,1,3,0,0,3,1,2,0,4,1,0,2,1,0,2,0,1,1,2,2,0,3,2,0,2,1,0,0,1,1,1,3,2,1,1,4,0,2,0,2,0,2,1,2,2,2,0,1,0,1,6,3,4,2,2,1,3,1,3,3,1,2,3,2,3,1,3,3,2,4,4,4,1,4,3,11,3,2,2,2,1,3,0,5,2,1,1,0,1,2,4,0,1,5,4,2,2,2,0,2,1,3,4,4,0,4,1,1,1,1,2,2,0,1,1,0,2,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,0,1,0,3,0,0,0,0,2,5,3,3,0,3,2,2,2,0,6,1,0,4,1,1,1,0,1,1,1,0,0,2,0
2,1,1,3,3,2,0,0,2,0,2,0,4,3,1,0,2,2,0,0,0,0,1,0,0,1,1,1,2,0,2,2,0,2,0,2,1,1,1,1,0,1,2,1,0,1,1,1,2,3,2,0,0,3,0,2,3,3,2,2,0,0,2,4,0,1,1,0,2,1,2,2,1,2,2,3,0,1,1,0,1,1,2,1,5,2,4,1,1,3,2,0,2,2,1,1,3,3,2,5,1,3,5,3,1,2,4,1,1,0,4,1,4,4,3,0,3,2,1,0,2,4,2,2,3,4,0,2,3,2,0,0,0,2,2,3,1,2,0,3,3,2,0,1,0,4,0,2,1,0,1,2,2,2,1,2,2,1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,1,1,0,1,0,0,1,1,2,1,4,0,5,1,0,2,4,0,0,2,1,6,0,1,3,3,3,4,2,1,1
1,1,0,2,0,3,2,1,1,1,2,3,1,4,2,2,2,1,1,1,0,0,1,2,1,1,1,1,0,2,2,0,0,3,3,2,0,1,2,1,1,1,0,1,2,0,1,1,1,1,2,3,2,1,0,1,5,2,0,1,3,3,0,2,1,3,0,0,1,1,3,0,3,2,1,0,1,1,3,2,2,0,2,4,2,3,1,0,3,3,1,1,1,4,4,4,1,1,4,3,1,0,3,1,3,4,5,1,2,3,3,3,8,4,1,0,4,2,3,1,7,2,3,3,1,5,3,2,2,2,3,1,0,3,4,0,3,2,1,5,1,0,3,4,2,0,4,4,1,2,3,2,3,2,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,2,1,0,2,1,1,1,1,0,0,1,3,0,2,0,3,2,2,2,1,1,1,2,2,1,4,1,6,2
1,0,0,0,1,1,2,4,2,2,0,0,1,3,0,1,1,2,3,1,1,3,2,1,0,3,0,1,0,0,0,2,0,3,3,2,4,1,3,0,3,0,2,1,0,2,2,1,6,1,3,3,1,1,2,2,4,0,5,1,1,1,1,2,2,0,2,0,0,1,0,3,1,1,1,3,3,1,2,2,1,4,3,0,1,0,2,0,1,2,2,4,2,2,3,4,3,1,1,4,3,5,4,3,2,4,3,2,1,1,4,2,5,1,1,2,5,3,4,0,1,1,1,0,3,2,3,1,2,0,3,2,5,2,3,1,2,2,0,2,5,3,2,1,2,2,3,2,3,1,0,3,1,1,0,0,2,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,2,1,0,0,0,1,0,3,2,1,0,3,2,2,3,3,1,2,1,1,3,4,3,1,1,1,2,2,2,0,4,3
2,1,1,1,2,3,1,0,1,1,0,2,0,4,0,1,2,0,2,0,3,2,3,0,0,1,1,2,0,0,0,1,0,1,1,0,2,3,5,3,1,0,1,1,1,0,1,1,1,2,1,2,0,3,1,3,4,2,1,1,1,2,0,2,0,0,1,3,1,1,2,0,2,2,0,3,2,1,1,1,0,2,3,3,1,2,1,3,2,0,1,5,4,6,3,2,5,4,1,2,2,5,4,2,2,3,2,2,0,1,2,1,3,5,1,3,4,1,7,4,3,2,1,3,2,4,0,6,1,1,3,4,2,5,2,0,0,2,5,0,3,4,0,3,3,3,2,1,5,0,3,2,2,0,1,1,2,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,2,0,2,2,0,1,1,2,3,1,2,3,2,1,2,2,3,1,2,0,4
1,1,1,1,3,2,1,1,0,3,2,0,0,1,4,1,2,0,3,1,1,2,1,1,3,0,0,2,0,1,0,0,1,0,4,1,2,2,3,4,0,0,0,1,2,0,2,1,0,2,2,0,4,1,2,2,0,6,2,0,0,0,1,1,1,4,2,0,0,0,3,1,2,1,1,0,3,2,1,2,6,2,1,4,1,2,2,2,0,5,0,1,1,1,0,2,3,2,3,2,5,1,2,3,2,4,1,2,2,0,4,1,2,2,2,2,2,3,4,4,1,3,1,1,5,1,1,5,6,4,1,2,2,1,0,5,3,3,2,7,1,2,4,1,3,0,3,0,4,0,1,1,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,2,3,2,1,3,3,3,2,2,1,2,1,2,1,4,2,1,1,1,2,0,2
2,1,0,1,2,0,1,1,1,1,1,1,2,4,1,0,1,1,2,0,1,0,1,1,0,1,2,1,3,2,1,1,2,1,1,1,3,1,1,1,4,1,0,3,1,0,0,1,2,1,1,2,0,2,3,2,2,1,2,0,0,4,0,0,1,1,1,3,1,1,2,1,0,0,0,2,0,2,0,1,1,4,1,4,2,3,1,1,3,0,1,0,2,1,4,2,4,3,3,4,4,2,3,5,5,1,2,0,2,2,4,2,3,0,3,1,4,4,1,6,2,0,2,1,3,2,4,0,5,2,1,5,3,1,1,7,6,4,6,2,1,1,0,0,1,2,0,2,3,3,1,4,2,2,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,2,1,2,1,0,0,0,1,0,1,1,2,0,0,0,1,4,1,1,1,2,1,1,1,2,1,4,2,1,2
2,1,0,0,1,2,0,2,1,3,1,3,2,1,1,1,2,0,1,0,1,3,2,0,1,0,0,0,2,3,1,1,0,1,0,0,1,0,1,1,0,1,0,3,2,0,1,1,0,1,2,1,1,1,0,0,0,1,1,1,2,0,3,2,1,1,3,1,0,0,1,0,2,2,3,2,0,1,4,3,0,2,3,2,0,1,1,3,0,2,1,3,3,2,2,5,4,4,2,3,2,3,2,2,1,2,6,0,5,2,2,2,1,2,4,1,3,0,2,0,5,1,4,3,5,1,2,2,2,4,6,7,1,1,3,2,2,2,0,5,2,1,0,3,2,3,2,3,2,1,3,1,0,2,3,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,1,0,0,1,3,1,0,1,3,2,0,1,2,2,0,1,2,0,1,0,0,1,1,1,0,2,2,0,3,0,0,0
0,4,1,1,3,6,2,2,2,1,1,2,1,3,2,5,1,0,3,1,2,2,1,1,2,3,0,0,1,1,3,0,0,2,1,0,0,1,2,1,1,0,1,1,1,0,1,2,3,3,2,0,1,2,1,3,1,0,1,2,0,4,0,3,2,1,1,1,2,3,1,2,1,3,3,0,3,1,0,2,3,0,1,3,1,2,0,3,0,1,5,2,0,0,1,3,6,3,4,5,2,3,2,3,2,6,3,2,1,2,1,1,0,3,0,2,2,4,0,5,3,3,1,2,2,2,3,1,2,5,0,5,5,4,1,2,3,3,1,4,2,3,4,2,4,2,0,3,3,2,2,0,0,0,0,1,1,3,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,1,2,1,1,0,0,1,0,2,0,0,3,4,1,2,1,1,3,1,2,2,2,2,3,2,2,2,1,1
2,2,1,2,0,0,2,1,1,1,3,3,2,0,2,1,0,1,4,4,1,0,0,2,1,1,2,1,0,2,5,1,2,2,0,2,2,2,0,1,2,0,2,1,1,2,0,0,0,1,0,0,1,1,1,1,2,0,1,1,0,2,2,0,1,1,1,1,0,2,0,1,0,1,0,1,1,1,0,0,1,2,1,2,2,0,1,1,1,0,2,0,0,4,3,3,2,3,1,5,1,4,0,2,5,2,1,3,2,3,0,2,7,1,2,1,1,2,6,2,5,2,3,3,6,4,4,2,3,5,4,2,4,2,2,5,2,2,3,3,2,2,4,2,1,4,3,0,1,0,2,2,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,1,0,0,0,0,1,1,2,0,1,0,1,0,2,1,1,1,6,1,2,4,1,2,1,1,0,2,2,1,1,0,0
0,1,1,2,1,3,0,1,0,1,0,1,1,2,4,0,3,2,0,4,3,1,0,2,0,0,2,1,0,1,2,2,0,1,1,3,2,1,2,1,0,2,0,0,0,0,1,4,1,1,3,3,1,1,2,1,1,0,2,0,0,2,1,1,1,1,2,1,2,0,0,1,2,0,2,1,1,4,0,3,2,2,0,1,0,1,0,0,1,2,1,3,1,1,1,2,2,2,2,2,3,3,0,1,3,6,2,2,6,2,3,0,4,3,0,2,2,1,1,1,3,0,3,3,2,3,0,2,0,0,2,1,0,0,4,6,3,0,1,1,2,1,2,3,2,2,2,2,0,0,2,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,2,0,0,0,3,3,2,3,1,1,2,1,2,2,1,0,3,1,4,0,0
2,0,3,1,0,2,2,2,3,0,0,0,3,1,2,0,0,0,2,0,1,1,2,0,1,1,1,1,1,1,3,3,3,3,1,2,0,1,2,4,2,0,1,0,0,2,0,0,0,0,1,2,5,1,0,2,0,2,1,1,1,0,0,1,3,0,1,4,0,3,1,1,1,0,1,2,1,0,1,3,2,2,1,1,1,3,2,2,1,1,3,4,1,2,4,1,6,2,4,4,1,3,1,3,2,5,5,5,2,5,3,0,1,2,4,3,0,4,0,6,0,2,1,1,0,3,3,3,1,1,2,3,2,2,0,1,1,3,3,2,3,2,0,4,0,4,2,1,3,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,2,0,2,0,2,1,1,0,0,0,3,0,2,1,2,1,1,2,1,2,0,2,2,1,1,1,1
0,3,3,0,1,2,5,1,1,1,0,2,1,0,1,0,2,0,0,0,0,1,1,1,3,1,0,1,4,1,2,0,0,2,0,1,1,1,1,4,3,3,2,1,1,1,2,1,3,2,0,3,3,1,3,1,2,1,0,2,0,1,4,1,1,1,2,1,2,4,2,1,0,0,0,0,2,2,3,4,1,2,1,7,1,5,2,2,3,2,2,2,2,1,1,2,3,2,4,2,4,4,2,5,0,3,2,2,0,4,1,2,4,4,1,2,1,2,1,0,3,1,0,5,8,3,3,4,3,3,4,1,3,2,2,2,2,5,2,4,3,4,3,0,1,6,3,3,6,1,1,3,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,2,0,0,2,1,2,0,0,1,4,2,0,1,1,2,1,2,2,0,3,2,2,3
1,0,1,4,1,1,0,1,2,1,1,1,1,3,2,3,5,1,0,4,1,1,4,1,0,3,0,2,1,0,2,0,1,2,2,0,3,1,1,2,0,2,0,2,0,1,0,1,1,3,0,1,3,1,2,1,2,1,0,2,0,1,1,0,1,1,1,0,2,0,0,4,1,0,0,1,1,1,0,3,1,1,1,4,2,1,0,1,3,1,0,1,2,0,4,2,1,0,2,4,3,5,2,3,2,1,1,5,0,5,3,6,5,6,3,1,7,2,4,3,1,3,2,0,1,4,3,1,3,0,1,2,4,3,1,3,2,2,3,3,1,4,2,1,3,2,2,3,0,2,1,2,2,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,1,1,0,3,0,1,0,3,1,1,5,2,0,2,1,3,3,2,0,3,1,0
0,2,1,0,5,5,4,0,2,0,1,3,1,1,1,1,3,1,0,2,1,0,0,1,0,2,1,4,2,4,1,2,0,0,0,0,1,2,0,4,0,3,2,1,1,2,0,1,2,1,3,2,3,1,2,1,2,0,2,0,2,0,1,1,2,1,2,0,2,0,1,3,1,1,0,1,2,1,1,1,0,2,0,0,2,3,4,1,2,0,0,1,0,2,1,0,1,2,5,1,3,3,2,3,1,4,3,4,3,1,3,4,2,1,2,2,1,2,3,2,3,2,2,2,4,1,1,5,2,1,2,3,3,3,1,1,3,4,3,3,2,4,3,2,3,1,3,4,2,2,5,3,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,2,0,0,2,1,0,0,3,4,1,3,2,1,3,1,2,4,1,1,1,3,1,2,0,1,1
3,2,1,1,0,1,0,1,1,1,0,2,0,2,1,0,1,0,2,2,1,0,1,1,1,3,2,0,4,0,2,2,2,0,4,4,0,0,2,0,0,2,3,2,2,0,1,2,0,0,1,0,4,0,2,0,4,1,4,2,5,1,1,2,2,1,3,1,0,3,3,1,2,1,1,0,0,1,1,0,3,0,3,5,1,1,0,3,1,1,1,3,1,1,2,0,0,1,4,4,0,4,4,2,0,3,3,7,3,1,4,3,0,0,2,3,2,4,1,1,6,1,5,4,2,1,4,2,6,2,1,2,2,6,0,1,2,0,4,2,3,3,4,2,2,3,2,2,2,2,1,1,1,2,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,2,1,0,0,2,0,1,0,1,2,3,4,1,2,0,2,2,1,1
0,2,2,2,2,5,0,1,2,4,1,2,2,1,1,1,3,1,5,1,1,1,2,0,4,1,0,4,1,1,1,4,1,0,2,2,2,2,0,0,0,1,1,1,2,1,6,1,1,0,1,1,2,1,2,3,1,1,2,3,0,4,4,0,1,1,3,2,3,1,0,1,1,0,1,0,3,1,3,2,2,1,0,1,2,0,1,3,1,2,1,1,1,2,1,1,2,3,3,3,1,2,3,1,3,0,4,2,5,1,2,4,2,6,1,3,1,3,2,4,3,3,3,2,0,4,1,2,3,2,1,0,5,6,3,5,3,0,4,3,2,3,2,6,3,2,4,4,4,6,1,5,2,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,2,1,2,1,0,1,1,1,2,0,2,2,2,1,1,2,3,0,5
0,0,2,4,1,2,1,2,0,2,1,2,1,1,0,2,1,1,2,0,1,1,1,2,0,1,2,3,3,3,1,1,0,4,2,2,0,2,1,1,1,1,2,3,2,0,0,1,4,2,2,4,3,2,1,1,1,4,2,3,0,1,2,0,1,2,6,2,2,1,0,2,2,2,4,0,2,3,1,1,1,0,1,2,0,1,0,1,0,1,2,2,0,0,1,1,1,2,3,0,4,4,1,4,1,2,3,3,2,5,3,6,5,1,4,1,3,2,3,3,2,2,2,2,3,2,3,2,5,2,3,6,1,2,3,8,2,5,2,3,7,4,3,2,2,7,1,4,3,6,6,5,4,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,2,0,3,4,1,2,3,0,1,1,2,0,3,6,0
2,1,1,0,1,1,3,1,0,1,1,4,1,1,1,1,0,5,3,1,0,1,3,2,4,2,0,1,0,2,0,1,0,0,4,4,2,2,2,1,2,1,1,1,0,0,1,2,1,2,0,2,1,1,3,1,1,0,1,2,1,1,0,0,0,1,1,1,2,1,1,0,2,5,2,2,2,0,3,2,3,0,2,5,1,2,2,0,3,2,2,2,2,3,1,1,2,1,0,2,1,4,3,0,2,3,4,0,1,2,4,3,4,3,0,3,5,5,2,4,3,2,4,2,1,7,5,3,3,1,1,1,4,4,2,4,5,5,3,0,3,7,2,2,1,2,4,4,5,3,5,3,2,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,1,1,0,2,0,0,3,2,1,3,1,4,0,3,2,0,3,2,0,2,1
0,0,1,2,1,1,2,2,1,0,2,2,2,1,0,4,3,1,1,1,1,1,2,2,1,2,4,2,1,2,0,0,1,3,1,1,1,1,2,3,2,1,2,2,0,0,5,2,3,0,1,3,1,2,1,0,2,1,0,2,4,2,3,2,1,1,0,3,3,1,2,3,4,1,1,1,2,2,2,2,0,1,2,0,3,2,2,0,1,0,3,2,1,4,1,3,1,2,2,2,1,2,2,2,2,3,0,2,3,1,1,4,3,1,3,1,4,4,1,2,3,4,2,5,1,4,3,2,3,2,1,8,3,1,4,3,1,4,1,2,3,7,3,3,0,3,2,2,1,1,5,4,1,3,1,1,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,1,0,2,0,0,1,3,2,0,1,3,0,2,1,2,3
1,1,1,1,2,1,1,0,1,0,1,1,2,1,0,3,1,1,2,2,2,1,0,2,3,0,1,1,1,2,1,1,1,2,3,3,2,1,1,2,3,1,2,2,2,1,3,5,0,1,1,1,0,2,0,0,1,2,5,1,2,0,2,1,3,0,0,2,0,0,2,2,1,3,1,2,0,0,2,0,3,0,1,3,3,1,0,1,1,1,2,1,1,1,2,0,1,0,1,0,1,4,2,2,4,4,1,4,0,0,3,4,0,3,1,3,1,0,4,2,7,2,2,3,1,2,5,4,3,3,2,3,3,3,1,1,4,3,3,3,3,2,3,2,1,6,4,6,6,4,6,2,4,2,2,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,3,1,1,1,2,3,0,1,4,3,0,1,1,1
1,3,4,3,1,0,0,1,0,1,1,2,2,0,2,1,0,0,2,1,3,3,0,1,0,2,1,1,4,1,0,1,0,2,2,1,1,2,1,0,1,1,1,1,4,2,0,1,1,0,3,2,0,1,1,0,0,1,1,1,2,1,0,1,1,0,2,0,1,0,1,2,1,0,0,0,1,3,1,2,0,1,1,2,1,2,1,1,1,2,0,2,1,2,1,2,0,1,1,2,0,0,0,0,1,4,4,2,2,3,1,0,3,3,3,1,1,6,5,3,3,3,3,6,2,4,1,4,7,3,5,1,0,1,6,6,0,2,5,2,1,1,4,1,4,3,5,4,2,2,1,4,4,1,1,0,3,0,2,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,0,0,0,0,1,1,2,2,0,1,1,0,1,1,0,0,1,3,2,3,4,2,2
2,1,4,1,0,2,3,0,0,1,1,0,2,2,3,0,2,1,1,0,1,2,2,1,2,1,1,0,2,0,0,2,0,0,1,2,3,5,3,2,1,0,0,1,1,3,1,2,1,0,1,0,3,1,2,0,0,2,0,2,1,4,0,0,2,2,2,0,1,0,0,2,1,2,1,2,1,0,2,2,0,1,4,1,1,2,1,2,1,0,3,3,1,0,1,0,0,0,2,3,1,1,2,0,2,2,2,6,3,2,3,1,2,3,4,2,4,1,3,2,4,3,2,2,3,1,1,2,2,2,4,5,2,4,3,2,5,2,2,3,2,1,0,0,4,4,4,6,1,1,6,1,4,2,0,5,2,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,2,1,1,4,1,0,0,2,1,0,1,2,0,3,1
2,1,0,0,0,2,2,0,0,2,0,1,4,1,3,1,4,2,4,2,1,1,1,0,2,3,1,5,0,1,1,3,1,0,1,1,1,1,2,3,2,2,0,1,3,1,1,0,2,0,0,2,2,1,2,0,1,3,1,3,0,1,3,3,1,2,1,1,0,1,1,0,3,0,1,1,1,0,1,1,2,2,0,1,0,1,1,2,0,0,0,1,2,2,1,1,0,0,2,3,0,1,1,2,2,3,4,1,0,2,6,3,2,6,2,1,0,4,2,1,1,4,4,2,3,4,2,5,3,6,6,2,1,0,5,2,2,1,1,7,2,2,1,1,6,2,2,3,7,1,5,2,1,2,3,3,3,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,3,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,3,2,0,0,1,0,1,1,2,1,2,2,0,2,2,0,2,0
0,0,0,4,1,4,0,0,0,5,1,3,2,1,4,4,0,2,4,3,0,2,3,4,2,2,2,2,2,1,1,1,1,3,1,3,4,2,4,2,1,3,1,1,1,2,1,1,0,1,0,1,2,2,1,1,2,0,0,2,2,3,4,3,1,0,1,0,2,1,1,0,1,1,1,0,0,1,0,2,0,3,2,1,1,0,0,1,4,2,0,1,2,0,1,2,2,1,2,1,3,0,2,2,1,2,1,3,2,2,0,1,0,1,3,1,1,4,6,6,3,2,2,1,3,4,2,0,0,4,3,5,2,2,4,3,3,1,2,5,3,1,2,5,5,0,4,2,7,2,4,0,4,3,1,2,2,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,2,0,0,2,1,0,0,2,1,2,2,2,0,1,0,0
1,1,0,4,2,2,3,2,0,1,1,2,1,1,0,4,1,1,2,0,1,0,4,3,1,0,0,0,5,0,1,3,0,1,0,1,0,1,1,2,0,2,4,1,1,0,2,1,2,1,0,0,2,1,1,1,2,0,2,2,2,1,1,1,2,0,2,0,2,1,2,1,2,0,4,1,1,1,1,1,1,0,2,0,1,0,1,0,0,2,1,0,0,1,3,0,2,1,2,0,1,2,0,2,1,3,1,0,5,1,1,2,3,3,2,4,9,2,2,3,1,8,3,2,1,2,4,2,2,2,3,3,1,2,3,2,3,0,6,1,0,3,1,5,0,6,1,2,5,4,4,2,5,1,3,3,1,2,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,2,4,0,1,3,1,1,0,3,2,4
0,3,3,1,1,4,1,3,2,0,2,1,1,1,3,0,3,2,5,1,0,1,3,1,2,1,1,1,3,2,0,1,2,1,1,1,1,0,1,2,1,2,0,0,0,0,4,1,1,1,3,1,1,0,3,0,1,3,0,0,1,1,3,2,1,2,3,2,1,2,2,0,1,1,0,1,0,0,3,1,0,2,0,0,1,1,2,1,0,4,3,1,3,3,0,1,2,1,1,3,2,2,3,5,1,0,1,5,2,6,3,1,1,6,3,0,4,3,0,5,2,4,2,7,3,3,2,3,1,3,2,1,2,4,1,1,2,2,2,1,3,1,1,3,7,1,3,3,3,1,1,3,1,2,2,2,1,2,2,1,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1,3,1,2,0,1,1,0,2,0,1,1,1
2,4,1,2,1,1,0,2,0,1,0,1,1,1,0,2,1,1,2,2,2,1,1,4,3,3,0,1,2,3,2,2,1,4,0,3,2,0,1,1,0,0,0,1,0,1,1,2,1,0,6,0,0,1,3,0,2,1,3,3,0,1,1,2,1,2,1,2,0,0,0,3,1,2,2,1,0,1,2,1,0,2,0,3,4,3,4,0,1,1,2,1,1,1,1,2,0,3,0,2,1,1,1,0,2,2,2,0,2,2,3,2,5,2,2,3,2,1,4,5,3,2,2,2,3,2,5,4,2,4,3,4,1,2,3,7,2,4,3,6,1,2,4,2,2,3,3,2,3,3,1,2,1,0,4,4,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,2,1,0,0,0,4,3,0,0,0,1,5,1,0,2
0,0,0,1,1,3,1,1,3,4,2,2,1,0,0,2,2,0,1,2,1,1,2,2,1,1,1,1,1,3,0,1,0,0,2,0,5,2,3,1,4,2,3,1,2,0,0,3,0,2,2,0,1,1,4,0,2,0,1,1,2,1,2,1,0,1,1,2,1,1,0,2,1,1,2,1,0,2,1,2,2,1,1,1,1,1,4,0,1,1,0,2,0,0,3,0,3,2,3,2,1,3,1,1,1,1,4,3,1,4,0,1,7,3,1,3,4,2,2,2,2,2,2,4,1,2,3,1,1,3,5,3,3,1,3,5,0,0,3,2,2,4,2,3,1,2,7,3,3,5,4,2,2,2,4,1,3,8,1,1,0,1,0,0,0,1,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,1,0,2,0,1,1,3,0
3,2,0,5,2,0,2,1,1,1,0,0,2,0,1,2,2,3,1,2,0,0,2,2,3,3,2,1,3,2,5,1,0,1,1,4,2,0,2,1,0,1,3,0,1,0,0,2,0,3,1,3,1,0,0,3,2,1,2,1,1,0,0,1,1,2,0,0,1,1,2,3,0,1,1,0,0,0,2,1,2,0,0,1,1,2,1,0,0,0,2,0,2,2,3,0,1,4,2,2,2,0,1,3,3,3,3,1,2,3,4,2,3,2,3,2,1,2,2,2,0,4,2,3,4,4,1,0,4,5,2,3,3,3,1,4,0,2,3,4,4,4,4,2,3,2,0,0,0,4,0,1,3,1,3,1,5,2,2,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,2,0,0,1,0,0,1,4,1,1,0,1,1,1,2,3,0,2
2,3,0,3,1,2,0,2,0,1,0,1,2,0,3,1,3,0,2,1,4,1,1,0,2,1,2,1,1,2,3,2,0,0,1,0,1,2,0,1,1,1,1,0,1,1,1,2,2,0,2,1,3,1,2,3,2,1,0,2,1,0,3,2,1,1,2,4,2,0,3,0,2,3,2,3,2,2,1,0,0,0,0,1,2,1,2,0,0,2,1,0,0,0,0,3,1,2,1,2,3,2,1,5,2,3,3,1,0,1,3,3,3,1,2,2,3,5,6,4,4,4,4,3,2,1,2,2,2,2,5,2,5,3,4,2,5,5,0,2,2,3,5,3,2,4,0,4,2,2,3,4,4,1,3,3,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,2,0,0,1,1,0,2,0,1,0,1,0,0,1,0,0,2,3,0
4,3,1,2,0,2,0,1,3,2,1,3,3,3,1,1,5,2,3,2,4,0,0,2,3,1,2,2,1,1,1,4,2,3,3,0,1,3,0,2,1,4,1,2,3,0,3,2,1,1,1,2,0,1,0,4,2,0,0,2,2,0,1,1,2,0,2,1,0,1,2,0,0,0,1,1,1,4,2,2,1,0,1,0,0,1,2,1,3,0,0,3,1,2,1,4,1,0,2,2,4,5,3,4,2,2,1,5,0,3,1,5,0,1,3,3,6,2,2,3,3,5,1,6,3,4,2,5,2,2,4,2,1,0,2,0,2,5,3,3,2,3,3,2,2,4,9,1,1,4,1,5,3,6,1,3,3,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,3,1,0,1,0,0,3,0,1,3,0,2,1,1,2,2,0,2,1,0,3,3
1,0,1,3,1,2,1,3,0,0,1,1,0,0,5,2,1,3,0,0,0,2,1,3,1,0,1,1,5,2,1,4,2,0,1,1,1,1,1,1,3,3,1,3,2,4,2,3,3,1,3,0,2,5,0,3,1,2,3,0,0,0,0,0,1,0,0,0,0,0,1,2,1,0,1,3,3,5,0,0,4,2,0,0,1,0,0,4,2,1,0,3,0,1,5,2,2,1,1,2,1,0,0,1,2,0,3,1,3,4,1,5,1,3,1,3,2,2,2,2,0,2,1,3,5,5,2,2,6,2,1,1,1,0,2,5,4,3,3,0,2,5,0,5,1,6,2,4,2,2,0,5,4,5,5,3,1,0,1,0,0,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1,2,0,0,1,0,2,1,2
0,0,4,2,2,1,0,2,2,1,0,0,3,0,3,0,2,4,1,1,1,0,3,2,0,3,0,1,0,2,2,3,1,0,2,1,0,0,1,0,0,1,1,1,0,1,4,1,3,1,1,2,1,2,0,0,0,0,0,0,2,1,0,2,3,2,2,1,0,1,1,1,0,1,3,1,3,1,0,2,0,2,0,0,2,4,3,2,4,0,0,2,1,3,2,1,5,2,1,0,3,2,2,0,1,2,0,6,3,1,1,0,3,0,3,4,3,0,0,1,2,3,3,1,5,3,3,4,0,4,2,2,1,1,2,2,1,2,4,3,2,4,1,5,3,2,3,2,4,2,4,5,2,2,6,0,2,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,3,1,1,1,1,2,2,1,1
0,1,3,2,1,1,1,0,2,2,2,0,0,1,0,5,1,2,3,1,0,0,3,1,5,1,1,1,4,0,0,1,2,0,3,1,2,1,2,1,0,2,0,2,3,1,1,0,2,1,4,4,2,0,0,2,1,3,3,2,2,3,2,2,0,4,1,0,1,0,1,3,2,0,2,0,0,1,1,0,1,1,0,2,2,1,2,1,0,2,0,2,1,1,0,0,2,2,1,0,2,4,1,1,2,1,4,2,2,1,1,2,3,6,1,2,3,2,0,6,2,2,2,2,2,0,0,2,1,2,2,4,2,5,2,1,1,2,1,0,1,3,1,3,2,2,1,4,2,0,4,0,1,1,4,2,2,0,0,1,0,0,0,0,0,1,2,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,2,0,1,1,0,0,0,0,0,2,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,3,2,2,1,1,1,1,0,2,1
2,3,3,0,1,1,0,2,1,0,3,1,2,1,1,0,1,3,1,1,1,0,2,1,0,2,2,0,0,1,2,1,1,1,3,3,3,1,3,1,0,1,1,1,2,3,0,1,2,0,2,2,2,0,2,1,1,4,1,2,1,3,0,0,2,2,1,2,1,0,2,2,0,2,1,3,2,3,1,0,1,0,0,0,0,3,2,2,1,1,0,0,2,2,0,3,1,2,1,0,1,1,1,1,1,2,2,0,3,1,2,4,1,2,2,4,3,4,6,1,5,0,5,2,1,5,2,2,1,2,3,2,5,4,1,2,4,2,4,1,1,4,1,4,3,4,6,3,3,4,1,1,3,5,3,3,0,0,2,1,1,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,5,0,0,0,0,1,0,2,1,0,1,3,0,0,1,0,2,0
2,2,1,1,2,0,1,1,0,0,1,3,0,0,1,2,2,0,1,1,2,4,2,3,2,1,2,4,0,0,2,0,1,0,1,1,3,2,1,0,3,2,1,1,3,1,4,1,2,3,1,1,2,1,1,1,1,1,1,2,0,0,1,1,0,2,2,0,0,1,0,1,4,0,0,2,1,2,2,0,2,0,0,0,2,1,4,6,1,3,0,3,1,2,0,1,1,3,2,0,1,5,2,3,4,1,2,2,2,2,2,2,7,1,1,0,4,2,2,1,2,3,3,1,3,4,3,3,6,3,1,2,0,0,2,4,1,6,1,1,2,4,4,4,8,3,2,4,4,1,6,2,5,2,2,2,2,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,2,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,1,0,0,1,0,1,4,1,0,3,1,2,0,5,2,0
2,1,2,0,1,5,2,1,2,1,2,1,2,3,0,1,2,2,3,0,1,0,4,2,1,1,0,1,0,2,3,3,1,2,3,1,1,2,1,1,1,1,1,0,2,0,0,1,1,1,4,3,2,2,1,2,1,1,2,0,1,2,1,2,1,0,1,3,3,2,2,1,3,2,0,1,1,1,0,2,2,2,0,0,2,0,2,0,2,0,1,1,0,1,0,0,1,3,1,0,2,0,3,0,1,1,0,3,1,1,2,2,3,0,4,0,5,0,1,4,3,0,0,2,7,2,2,5,7,0,3,3,4,2,5,2,4,2,2,1,3,2,7,0,5,5,0,1,2,3,1,1,3,2,1,0,1,1,0,1,0,0,1,0,1,1,0,0,2,0,0,1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0,2,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,2,0,1,2,1,0,1,3,2,2,1,1,3,2,2
0,0,3,1,1,0,0,1,1,0,0,2,5,0,3,1,2,5,1,2,2,3,2,3,3,2,2,3,1,1,0,2,1,2,0,2,1,2,0,3,0,0,1,0,1,0,2,0,0,3,0,1,2,4,2,1,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,2,2,0,3,3,0,3,2,1,1,4,0,1,1,2,1,3,2,1,3,2,1,1,1,1,1,4,4,1,2,2,2,2,2,2,1,2,1,2,5,2,5,2,2,3,1,5,1,0,2,4,2,6,2,2,1,1,2,3,1,2,4,1,4,2,2,1,0,2,0,2,2,5,4,3,6,0,5,4,2,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,1,2,2,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,2,0,0,1,0,1,2,1,0,0,0,2,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,3,0,1
2,1,3,2,0,2,4,1,1,5,0,0,1,2,2,3,1,2,0,0,1,2,0,0,0,2,0,1,1,1,1,2,0,1,1,0,1,1,2,1,1,2,0,0,3,3,2,0,2,1,1,3,0,0,2,0,0,1,1,3,2,3,1,2,0,1,0,2,2,2,4,1,3,1,0,2,0,0,0,4,2,1,1,3,0,4,0,3,0,1,0,1,2,0,2,1,2,1,0,3,2,2,1,1,2,3,2,0,2,2,0,3,3,6,3,5,2,1,4,6,1,1,3,0,2,4,0,3,2,2,1,0,3,1,2,5,6,5,2,1,2,4,2,1,3,3,2,2,1,10,0,6,5,5,6,2,2,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,3,0,0,0,1,1,2,0,0,0,0,0,3,0,0,0,1,0,1,0,0,0,0,2,3,1,1,3,1,0,0,0,1,2,0,2,0
4,2,2,1,0,1,3,0,1,1,0,2,1,4,2,0,2,0,1,1,1,1,4,0,1,2,0,5,0,1,1,0,1,1,2,5,4,3,1,4,2,3,3,1,1,3,1,1,1,0,2,0,2,1,0,1,4,2,0,2,2,2,2,1,3,3,1,3,0,3,2,1,3,1,0,2,2,1,1,0,3,2,0,1,1,1,0,1,1,1,2,1,0,1,1,2,2,1,1,4,1,1,3,1,0,3,0,2,1,0,1,1,1,1,2,3,1,1,1,3,2,6,4,2,1,4,1,2,1,1,2,1,4,3,1,3,4,2,2,4,1,2,4,3,1,1,4,2,3,3,2,1,1,3,2,1,4,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,2,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,3,0,0,0,2,1,0,0,1,2,1,3,6,1,1,2,0,1
1,1,3,0,3,2,3,5,0,2,1,0,1,0,1,2,2,0,0,1,2,2,1,3,1,1,0,0,1,1,2,3,0,2,5,1,1,1,1,1,1,3,0,0,0,3,1,3,1,0,0,1,1,0,0,1,1,3,0,2,3,0,3,6,1,0,3,2,0,1,0,0,2,1,0,0,0,2,0,1,1,2,0,0,5,1,1,0,3,1,0,1,1,4,2,2,0,2,1,0,1,2,3,3,0,2,4,1,2,4,4,0,3,2,3,5,7,2,3,2,6,3,2,2,9,2,1,3,2,4,2,4,6,5,1,3,5,5,3,3,2,3,5,2,4,3,2,4,0,1,2,1,2,3,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,1,1,4,1,1,1,0,1,1,1,0,1,1,1,2,0,1,1,0,2
1,1,2,0,2,2,3,0,1,0,0,3,3,3,4,1,1,0,0,3,3,2,1,0,1,1,1,1,0,1,1,2,2,3,4,0,1,2,3,2,3,3,2,1,3,1,1,1,1,4,1,0,0,1,2,1,1,0,2,0,2,2,1,1,1,2,2,0,0,1,3,1,2,1,2,1,2,2,1,0,1,1,1,3,2,0,0,1,1,1,5,4,3,1,1,3,1,0,1,1,2,3,0,1,1,0,3,1,1,4,2,2,1,4,2,1,1,3,2,6,3,2,1,1,1,4,2,2,1,2,4,3,1,3,4,3,2,1,2,2,2,2,4,3,2,1,2,3,0,4,2,2,1,4,3,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,2,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,1,1,3,0,1,1,1,1,3,1,0,0,2,2,5,1,4,4,0
1,1,0,2,1,0,0,3,1,0,3,1,1,4,3,4,0,1,2,2,2,1,1,0,0,0,2,1,2,1,3,1,0,2,3,3,2,3,0,5,5,1,0,3,2,2,1,0,2,5,3,3,1,2,0,0,1,1,1,2,2,1,0,1,2,4,1,2,3,0,2,1,0,1,0,2,1,0,0,3,1,1,4,2,2,1,0,0,0,2,0,0,2,0,4,0,1,3,4,1,4,0,3,0,3,0,1,0,2,0,1,0,5,2,1,4,3,4,1,2,4,6,2,4,4,4,4,1,1,6,2,1,2,2,0,5,3,3,1,2,0,4,5,0,2,2,1,4,5,1,6,5,1,5,1,3,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,0,2,0,0,2,0,1,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0,2,1,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,2,2,1,2,0,1,1,0,1,1,0,3,3,0,2,3,1,0,0,0
1,2,0,2,0,1,1,1,1,0,3,0,1,0,4,1,0,0,3,4,0,4,0,3,2,2,0,3,0,0,3,1,2,5,0,1,4,1,2,2,1,1,1,3,0,0,3,0,3,1,0,1,0,1,0,2,0,2,1,1,2,0,2,1,0,0,1,1,2,1,1,1,3,0,1,2,2,2,2,2,3,1,0,1,2,2,1,0,1,2,3,0,0,0,1,6,3,1,0,0,3,1,3,2,3,0,1,1,3,2,1,3,1,1,2,2,2,2,1,3,3,3,0,0,6,2,5,3,4,1,1,0,3,3,1,2,4,1,1,3,6,1,2,3,2,4,0,2,3,3,3,2,3,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,2,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,2,1,0,1,0,1,0,1,1,0,1,1,1,2,3,4,3,1,0,1
2,0,2,1,2,1,1,1,1,3,2,3,1,0,0,0,2,0,1,2,5,2,1,2,1,1,2,4,1,3,0,2,1,0,2,1,1,0,0,1,1,1,1,2,2,0,2,2,1,0,1,0,0,1,1,1,3,0,0,0,0,0,0,2,0,2,1,1,1,2,2,2,0,3,2,1,0,1,0,1,0,0,0,0,0,1,1,2,1,2,1,1,0,4,1,2,1,2,2,2,1,0,0,0,0,0,1,1,1,0,1,1,3,1,4,3,2,1,3,2,1,3,4,2,2,2,2,2,1,2,2,3,4,4,3,3,3,3,4,0,1,2,1,1,2,3,4,1,5,3,5,3,0,3,1,1,2,0,0,0,0,1,2,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,2,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,2,2,0,0,1,0,1,0,3,0,0,0,0,0,0,0,0,0,3,1,2,1,3,2,0,1,0,1,1,2,1,2,2,1,1,1,1,0,3,1
2,2,0,1,1,3,2,1,4,1,0,0,2,1,1,0,6,2,1,2,1,0,3,0,1,1,2,2,1,0,0,2,3,0,4,1,0,0,2,0,3,2,2,1,2,2,0,1,0,2,1,1,3,1,1,1,4,1,1,0,1,2,1,2,1,2,3,1,3,0,0,0,3,1,1,0,3,3,3,2,0,0,2,0,2,3,4,1,1,1,0,1,1,1,3,4,0,2,4,3,0,0,1,4,2,3,2,2,0,1,2,2,2,1,3,3,0,2,3,2,3,3,2,1,1,2,1,1,3,4,3,2,2,2,5,1,2,3,3,3,2,0,1,3,6,1,3,3,2,4,6,4,3,4,1,0,0,0,1,0,2,2,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,2,0,1,1,1,0,1,1,0,1,1,4,2,1,3,1,2,1,4,1,2,1,4,1
3,0,1,1,2,2,0,1,2,0,1,0,3,1,1,3,1,1,0,0,2,1,6,1,0,0,1,1,0,2,1,1,0,1,0,3,3,1,0,3,2,2,0,1,0,2,1,2,0,3,1,0,2,1,0,0,1,1,3,1,0,1,0,2,1,3,2,3,2,2,5,0,1,1,1,1,0,1,0,1,0,3,0,2,2,1,1,5,0,0,1,1,0,1,0,1,2,2,1,0,1,1,1,1,3,6,2,3,0,0,0,0,4,2,1,2,4,2,1,4,2,2,1,1,4,4,1,2,2,1,3,2,2,3,4,4,0,4,2,6,3,3,1,0,2,5,2,2,4,0,3,4,1,2,0,1,0,1,1,0,1,3,0,0,1,0,0,0,2,0,0,0,1,0,2,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,2,0,0,0,0,0,1,2,1,2,1,1,1,1,1,1,0,2,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,2,1,0,2,3,2,5,3,0,0,2,1,1,1,1,1,1
1,0,2,1,1,1,1,0,0,4,3,2,1,3,0,0,0,1,1,2,2,1,0,2,2,2,4,1,1,2,0,3,1,1,2,1,3,1,0,0,0,0,1,0,2,0,3,1,0,1,2,0,1,0,1,0,0,1,1,2,3,2,1,2,2,0,0,1,3,0,1,3,2,2,2,1,0,1,0,2,1,4,2,2,0,4,2,0,1,2,3,2,3,1,1,0,2,3,1,2,0,0,0,0,1,1,0,1,3,1,2,0,3,3,0,2,2,3,1,2,0,4,4,3,3,3,1,1,1,3,5,4,2,1,3,4,2,4,6,2,4,2,4,1,4,0,3,4,1,2,1,2,5,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,2,0,2,0,1,0,0,2,0,0,0,0,0,3,1,0,0,1,2,0,0,0,0,0,0,1,0,0,3,1,0,1,0,1,1,0,1,0,0,1,1,0,1,2,0,0,0,3,1,1,1,3,2,1,0,3,1,2,2,0,2,1,0,4,1,4,0,0,3,2,1,1,0
1,0,0,2,2,4,2,2,1,1,2,0,1,2,0,1,0,1,2,3,3,2,0,0,2,3,1,1,1,1,0,1,1,2,4,1,2,0,1,2,0,1,0,3,0,2,1,0,2,1,1,1,3,0,1,0,3,2,1,3,1,2,1,1,0,4,2,2,1,0,1,3,1,2,1,1,1,3,2,0,0,2,0,1,0,2,1,1,1,1,0,3,2,2,1,0,1,2,0,0,0,0,0,0,3,1,1,1,2,2,4,1,1,4,0,0,1,2,0,0,1,5,4,3,5,0,2,3,2,2,3,2,4,3,3,5,0,4,2,4,2,4,1,1,2,3,0,3,3,1,1,3,3,1,1,0,0,1,0,1,1,1,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,2,1,0,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,0,1,1,0,3,0,0,0,0,3,4,0,3,2,0,1,2,0,1,0,1,0,1,2,5,3,2,1
2,1,1,0,3,1,2,0,1,2,1,2,2,0,1,2,0,2,2,2,3,1,0,1,0,0,2,1,1,1,2,1,0,0,1,4,0,1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,0,2,3,2,1,0,0,0,1,3,3,1,0,2,0,0,0,1,0,2,3,2,0,0,1,2,1,0,2,2,4,1,3,3,4,3,1,1,1,1,0,1,2,4,0,0,3,1,1,2,1,1,2,4,1,1,2,0,1,4,3,1,1,3,5,1,2,3,2,2,1,2,3,0,1,3,5,2,1,1,1,2,1,2,2,1,4,5,2,6,1,0,2,1,2,2,2,0,0,0,0,1,0,0,0,1,0,0,2,0,1,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,2,1,0,1,1,1,2,2,0,1,1,0,0,1,1,1,0,1,2,2,3,0,1,1,1,3,1,0,0,1,0,1,2,1,0,0,0,3,0,4,3,0,1,2,2,2,2
1,1,0,0,3,4,1,3,3,3,1,0,2,0,1,4,1,2,2,2,2,4,2,1,1,4,2,1,1,3,1,1,0,1,1,1,1,1,3,1,1,1,0,3,0,2,1,0,0,3,2,1,1,0,2,1,1,3,1,1,0,3,1,1,3,2,1,4,0,0,0,2,1,1,2,1,0,0,1,1,2,2,0,1,1,0,0,0,1,0,1,2,3,1,0,0,2,0,1,3,0,0,1,1,2,1,3,0,1,0,1,4,0,1,1,2,1,3,3,0,2,3,4,0,1,2,6,4,1,2,5,7,1,3,3,4,2,3,2,0,6,4,3,5,3,2,3,1,7,1,2,0,1,2,1,0,0,1,0,0,0,0,1,0,1,2,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,1,0,1,0,0,1,0,1,2,0,2,0,1,0,0,0,0,1,0,1,0,1,0,0,0,1,1,2,2,2,0,0,0,3,0,0,3,2,1,3,1,0,3,3,4,1,0,2,4,1,1,0,1,2,2,2,2,1,1
1,3,0,3,1,1,0,1,0,1,3,0,0,1,1,3,2,0,1,0,1,0,3,2,1,1,2,1,2,3,0,1,1,2,1,4,1,0,0,1,1,2,2,4,1,2,2,2,0,2,4,3,1,0,1,1,0,1,1,4,2,2,3,1,3,3,1,1,1,0,1,1,0,0,1,3,3,0,0,4,0,1,2,3,3,1,0,1,4,0,2,2,0,1,2,1,1,1,0,2,0,1,0,2,1,2,1,0,3,0,0,0,0,0,0,0,1,3,3,2,3,4,0,0,1,2,1,1,6,2,0,3,2,3,4,4,0,1,2,1,1,1,1,3,2,1,4,3,4,4,2,3,0,5,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,3,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,3,2,0,1,0,0,1,3,3,0,1,1,0,3,2,2,1,1,0,1,1,1,0,1,2,1,1,2,0,2
2,1,1,0,2,1,1,2,0,2,3,0,0,0,2,1,1,1,0,1,2,3,1,0,1,1,1,3,2,1,2,2,1,1,1,2,0,1,1,0,2,1,2,0,0,2,1,3,1,0,0,2,0,0,1,0,2,1,2,2,3,1,1,0,2,2,2,2,2,2,0,1,0,3,4,2,3,2,0,3,2,2,0,0,2,1,0,0,0,1,0,3,1,0,1,1,2,0,0,1,1,1,0,1,0,4,0,5,2,1,1,4,2,2,4,2,1,4,0,2,5,1,4,5,0,5,2,5,1,2,1,1,2,1,3,1,1,2,4,1,2,2,3,2,1,6,4,2,1,2,2,2,2,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,1,2,1,3,1,0,1,1,2,1,3,2,1,3,3,2,1,1,1,2,0,2,1,2,1,2,2,4,0,3,3,1,1,0,2,1,2,2,1,0,1,1,3,3,2
2,0,1,2,1,3,2,1,2,3,0,0,3,1,1,3,1,1,1,0,1,2,2,2,1,3,1,4,1,1,2,1,2,1,1,1,0,2,0,4,1,2,2,4,0,1,0,1,2,1,1,1,1,0,3,0,0,1,1,3,2,0,2,1,0,2,0,5,1,1,3,4,3,1,2,3,1,0,0,3,2,6,2,2,1,3,2,4,1,0,0,2,3,0,2,1,0,3,2,0,1,2,1,2,2,0,3,0,4,0,0,0,1,1,4,1,3,2,4,0,4,3,6,4,3,7,2,2,2,3,1,3,2,3,2,0,4,4,3,0,3,5,3,3,0,3,6,1,3,2,3,2,0,1,1,0,1,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,2,1,0,0,0,1,1,0,1,2,0,0,0,3,0,2,3,1,1,1,1,0,4,1,2,3,2,0,0,0,0,2,3,3,4,0,2,1,1,2,0,0,4,0
1,3,2,1,1,2,0,2,4,0,2,1,1,0,2,1,0,1,3,2,0,1,0,4,1,1,1,1,1,0,1,0,2,3,1,1,2,0,3,1,1,1,0,2,4,0,2,0,2,1,2,1,1,1,1,0,0,2,1,1,0,3,1,1,1,3,3,0,0,1,0,1,4,0,0,2,2,2,1,1,2,3,2,3,1,3,0,0,0,3,2,1,1,2,0,2,0,1,0,2,1,0,1,2,2,0,1,1,2,0,1,2,0,1,0,0,4,3,1,3,1,1,0,4,2,2,2,0,5,1,4,3,0,2,1,2,4,2,3,3,2,3,3,3,4,4,2,1,3,0,3,1,2,1,0,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,2,2,0,1,2,0,1,1,0,0,0,1,0,0,0,0,2,1,0,0,0,0,0,0,1,2,1,0,1,2,2,2,1,0,0,0,0,2,3,2,1,0,1,1,2,2,2,0,1,3,0,0,2,1,2,1,1,2,1,1,3,1,2,0,3,1
0,0,0,1,1,2,0,2,2,2,2,1,1,2,0,1,1,1,1,3,0,0,3,1,0,2,0,2,0,2,1,1,0,3,2,2,4,0,3,1,0,1,0,1,1,2,0,1,2,3,1,0,3,0,2,3,1,1,3,1,1,4,4,2,2,0,2,1,2,2,0,1,4,2,2,2,2,1,4,0,0,1,0,0,3,1,2,2,0,0,2,1,0,0,2,2,2,1,2,2,0,1,0,2,1,2,2,1,1,0,2,1,3,1,4,1,2,2,3,1,2,1,2,1,1,3,3,3,2,4,2,1,1,4,1,2,1,0,2,1,1,2,3,3,3,3,7,2,0,0,4,2,3,2,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,2,0,0,1,0,0,0,1,2,3,1,0,0,2,0,1,1,0,0,2,1,1,1,2,1,2,2,1,1,3,3,1,0,2,3,1,2,4,0,1,0,0,2,1,2,3,1,1,1,4
2,2,1,0,2,2,2,0,0,3,2,1,0,1,1,3,1,1,0,3,1,1,2,1,2,2,2,1,1,2,1,1,1,2,1,2,4,1,1,1,0,3,2,4,0,1,0,3,0,1,2,1,1,1,0,1,1,1,2,1,1,2,3,2,0,2,3,1,2,2,2,1,2,2,2,2,3,0,1,1,1,1,3,2,0,2,5,2,1,1,0,0,2,0,1,4,4,3,3,2,3,1,1,3,1,0,4,1,3,2,1,3,1,0,0,2,2,2,1,2,4,4,2,3,2,6,2,4,4,2,3,2,2,1,4,0,1,4,7,8,6,1,2,3,2,5,2,5,3,1,1,0,0,0,1,2,0,0,0,1,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,1,2,0,0,0,0,0,2,0,0,0,1,1,1,1,0,2,0,1,2,0,3,0,3,1,1,3,2,2,0,1,4,1,0,1,1,1,1,1,0,2,1,1,0,1,3,2,1,4,1,1,2,2,1,3,1,1,3,2,4,2
0,1,2,2,0,0,1,0,0,0,0,6,1,1,2,0,0,2,1,0,0,3,0,3,1,2,1,0,2,2,3,2,1,1,1,1,1,2,2,1,0,1,1,1,1,1,3,1,5,1,1,0,0,2,0,0,0,0,2,2,2,1,1,2,2,0,0,1,3,1,2,0,0,0,1,4,1,6,1,1,0,3,1,0,3,0,1,1,0,3,2,0,2,1,1,1,1,2,1,1,4,2,4,0,1,0,1,0,3,1,2,1,0,0,0,0,2,1,3,0,4,1,3,3,1,1,4,1,3,1,3,1,2,1,1,4,0,3,4,3,5,5,5,4,4,5,5,4,1,2,1,0,0,0,2,1,1,1,3,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,1,0,1,0,1,1,2,2,2,0,1,1,3,0,1,0,0,2,0,1,2,2,2,1,0,1,1,2,1,2,1,1,1,0,2,0,0,5,4,2,2,2,0,1,0,2,2,3,0,0,1,0,1,3,1,4,4,3,1,0,1,1,1,1,4,0,0
2,0,1,2,1,0,1,0,4,4,1,0,2,0,2,1,2,2,2,2,1,1,1,4,5,2,3,0,0,0,2,1,0,1,0,1,0,3,0,0,3,1,2,2,2,5,2,2,1,1,0,1,0,1,0,0,1,1,1,1,0,1,2,1,2,3,2,1,0,1,0,0,2,1,1,3,0,3,0,3,0,1,0,1,2,3,0,1,0,1,3,0,1,3,2,1,0,2,0,3,1,2,0,0,1,0,0,2,1,1,1,1,2,0,3,3,0,0,3,1,2,4,3,1,3,0,7,5,1,0,2,3,6,3,4,4,3,2,1,1,4,4,4,3,6,2,2,2,1,3,1,3,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,0,0,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,3,0,0,1,1,0,0,1,1,0,0,1,1,0,0,2,1,1,0,1,1,1,0,0,1,3,4,1,2,3,4,2,1,0,4,0,0,1,1,1,1,1,1,0,0,3,0,1,1,3,2,1,1,2,1,1,0,1,1,3,4,1
1,0,2,3,2,1,2,1,0,3,0,0,3,3,3,2,4,0,4,1,1,1,1,1,4,0,1,0,0,0,1,0,5,3,1,1,1,1,3,4,2,1,1,2,3,2,1,0,2,2,0,0,1,1,0,0,0,1,4,0,2,1,1,0,2,0,1,0,1,3,0,0,2,0,0,1,0,5,1,1,3,2,2,3,1,1,2,2,0,1,3,3,1,1,1,0,0,6,2,1,0,1,2,1,0,2,1,2,3,2,1,1,2,4,3,0,0,0,4,0,2,1,1,2,5,4,1,3,2,2,5,0,2,7,5,3,1,2,2,2,2,5,4,5,3,3,2,0,3,2,0,2,0,0,1,0,0,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,3,1,0,1,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,2,2,1,0,2,1,1,3,3,0,1,3,0,0,0,2,0,2,2,0,2,3,3,1,0,2,2,1,3,2,1,6,2,0,1,1,0,0,1,1,3,1,2,1,1,1,0,2,0,2,0,2,2
0,0,1,0,1,0,2,1,2,1,6,2,2,5,0,0,1,1,2,0,1,0,0,0,3,3,0,4,3,1,0,0,1,2,0,1,1,2,0,2,0,2,0,0,0,0,0,1,1,3,0,2,2,0,1,0,2,3,0,1,1,2,1,2,0,1,3,1,4,3,4,1,0,2,1,1,2,1,0,1,2,3,0,1,0,1,2,1,0,2,1,0,1,2,1,0,1,1,3,0,3,1,0,1,2,1,2,1,4,0,2,1,0,3,1,3,1,1,3,1,2,2,1,2,1,1,3,1,5,1,4,1,3,3,2,2,1,2,2,2,3,2,5,3,1,2,6,3,1,3,0,0,1,1,0,0,2,1,2,0,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,2,1,0,1,1,0,0,0,2,1,1,1,1,1,0,1,0,0,0,2,1,0,2,0,0,0,2,3,1,0,3,0,1,1,3,0,0,3,1,2,0,3,3,2,1,0,2,3,2,0,1,2,1,1,1,3,0,1,3,3,1,0,5,1,1,2,1,3,2,1,2,2,2,1
2,0,3,0,2,2,0,1,1,0,2,1,1,2,1,1,2,0,1,3,1,0,2,3,0,1,2,1,1,1,2,3,1,0,0,0,0,0,1,3,0,2,2,2,0,0,1,3,1,3,0,1,1,2,0,0,0,1,1,1,1,1,0,1,1,2,1,0,1,0,0,0,3,4,2,1,3,1,1,0,0,4,2,4,0,1,0,1,1,1,3,1,2,2,1,1,0,1,2,1,0,2,1,3,0,3,1,0,1,1,0,0,2,2,2,0,2,3,2,1,1,0,1,4,4,2,1,3,5,2,5,0,3,1,1,4,1,3,2,2,3,2,4,2,3,2,0,0,1,1,0,1,0,0,0,0,2,0,0,3,2,2,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,1,2,2,1,1,1,1,1,0,0,1,2,0,2,1,0,0,1,2,1,2,2,1,0,0,1,1,1,1,1,2,2,2,1,0,2,4,5,3,0,3,3,1,2,3,2,1,1,0,4,3,0,0,2,1,2,1,1,1,2,1,2,0,5,3,0,2
2,1,3,1,2,1,5,0,1,1,1,3,2,0,0,0,2,1,1,1,2,1,1,0,1,1,0,0,0,0,0,2,1,3,0,2,0,1,0,2,0,1,1,1,1,2,3,2,1,1,0,2,1,0,3,1,3,1,3,0,1,1,1,2,2,1,1,0,3,2,2,1,2,1,2,0,0,1,1,1,1,2,2,1,1,2,0,2,3,1,3,0,0,0,1,4,2,1,0,0,0,0,1,1,2,2,5,0,0,2,0,2,0,3,1,2,3,0,2,1,0,0,2,4,2,0,0,1,4,5,4,6,5,2,3,3,7,1,2,6,1,0,5,4,4,4,4,5,3,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,2,2,0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,2,0,0,1,0,1,1,0,0,1,1,2,2,1,0,2,0,0,2,2,4,0,2,0,1,2,1,2,2,0,4,0,1,2,1,0,2,2,1,1,2,2,2,0,2,1,2,3,0,2,1,1,2,2,1,2,0,1,2,2,0,3
0,1,2,1,3,1,2,5,4,3,1,0,3,0,3,2,1,3,0,1,1,4,3,1,1,1,0,1,2,2,1,0,1,1,3,1,1,2,3,0,0,3,1,0,2,1,2,0,1,1,1,0,0,0,1,0,0,3,1,3,2,1,2,3,2,2,1,3,1,3,1,2,3,3,2,2,2,2,0,1,3,2,0,1,0,2,1,1,1,2,1,1,1,0,2,0,4,1,0,1,5,2,1,0,1,4,1,1,1,3,1,5,0,2,0,0,3,0,1,0,0,2,1,2,1,3,3,4,1,3,2,2,3,1,0,2,2,3,1,3,9,1,5,2,3,4,1,2,1,2,2,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,2,1,3,0,2,1,2,2,1,0,3,0,2,4,1,0,1,0,1,1,1,0,0,1,1,3,2,1,0,2,2,1,0,2,0,1,1,2,1,0,1,2,1,2,3,1,1,2,1
0,2,3,1,1,2,1,1,1,3,2,4,3,2,4,1,2,2,2,0,2,2,2,1,1,2,2,0,3,1,1,2,4,0,1,2,0,1,0,0,0,2,3,1,2,1,0,0,0,3,1,2,1,3,1,2,0,0,1,0,1,1,1,1,2,1,1,2,1,2,4,0,0,2,2,0,0,1,0,0,0,1,2,1,0,3,2,3,1,0,0,1,1,3,3,1,3,0,3,1,1,3,1,1,0,1,1,0,2,0,0,1,4,0,1,1,3,2,2,2,2,0,0,1,2,2,4,2,3,1,4,2,3,2,3,7,3,2,3,1,3,2,2,2,3,1,3,3,1,1,1,0,3,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,1,3,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,3,1,1,1,0,1,0,3,1,3,1,1,1,1,4,0,1,2,1,1,3,3,3,1,2,1,1,0,0,2,0,1,1,1,0,0,2,1,1,2,0,2,4,0,2,3,2,1,2,2,0,1,3,1,1,1,2,2,0,0,1,5,2,3,2,2,1
4,0,5,1,2,6,1,2,2,0,4,2,0,2,1,0,2,1,0,0,0,0,2,3,4,2,0,4,0,1,3,1,0,1,2,0,0,0,3,1,2,0,3,2,3,0,1,0,0,0,2,1,0,1,0,0,0,0,1,6,1,1,1,1,1,1,2,0,2,4,2,0,1,3,5,1,3,1,3,0,0,2,2,2,3,3,2,1,1,1,2,1,0,5,0,5,3,4,0,2,2,1,1,1,0,1,0,0,0,1,2,1,1,2,2,1,0,1,1,1,0,0,1,0,1,5,3,1,3,3,6,3,4,0,3,4,3,2,0,3,2,0,5,4,5,5,2,2,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,2,0,1,0,0,3,0,0,0,0,1,0,1,1,2,2,0,1,1,1,2,4,0,1,0,1,1,0,1,0,2,0,3,2,1,1,1,2,1,1,0,1,1,0,1,2,1,2,1,1,0,2,1,1,2,0,1,2,2,0,4,2,0,1,3,4,2,1,0
1,1,2,3,2,1,0,0,2,1,0,2,2,0,1,0,1,0,2,1,1,4,3,1,1,1,1,2,0,1,1,3,0,2,0,2,1,3,1,1,1,3,3,2,0,3,0,2,3,2,4,1,0,3,2,1,2,3,2,1,0,0,3,2,3,1,1,2,1,2,1,0,3,2,3,5,2,1,1,6,0,1,3,2,0,0,1,1,0,2,1,1,0,3,1,2,2,2,2,1,2,1,0,1,2,1,0,0,4,3,2,1,6,2,1,2,0,0,0,1,2,2,4,4,1,3,1,2,2,1,6,4,3,1,1,5,3,1,2,3,4,4,1,2,3,2,2,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,3,1,0,0,1,0,0,0,2,0,2,1,3,2,3,0,1,0,2,1,0,2,1,3,2,4,0,2,3,0,1,1,2,0,0,2,4,0,0,0,3,2,0,2,1,1,4,0,0,2,2,1,2,3,1,1,1,1,0
3,0,5,2,4,2,0,1,5,3,1,0,1,0,3,0,1,0,2,1,2,2,1,1,4,3,2,1,1,1,1,1,0,4,2,2,3,2,1,2,0,2,2,3,3,1,1,1,4,2,4,2,3,0,1,1,2,2,1,1,2,2,4,0,1,2,1,1,3,1,2,0,4,0,1,0,2,1,3,2,0,2,0,0,0,1,1,1,1,0,3,0,0,3,1,0,0,1,1,0,1,2,1,3,2,0,0,0,0,2,3,0,2,0,0,1,3,0,1,1,3,3,3,0,2,3,2,2,2,3,3,4,5,3,3,0,0,5,0,6,4,0,3,3,5,1,5,0,3,3,2,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,2,2,0,0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,2,1,1,2,2,1,1,1,1,0,4,2,1,3,0,3,5,1,1,3,1,3,3,2,2,2,3,0,1,4,4,2,2,1,2,1,1,2,0,2,3,2,0,0,0,1,2,1,4,2,0,0,0,2,1,2,0,1,0,1,2,1
0,1,2,2,4,0,2,0,1,1,1,1,1,0,1,0,2,0,0,2,1,1,1,1,3,0,2,1,2,0,2,2,3,1,3,0,1,2,0,1,0,2,2,2,4,0,3,2,1,1,0,4,1,0,0,0,1,0,0,1,4,1,4,2,0,1,0,4,1,1,0,1,2,0,1,0,1,2,1,0,1,4,2,0,1,1,0,3,0,0,2,3,0,2,1,4,2,3,0,0,1,1,1,1,2,1,2,1,0,2,3,0,1,0,1,0,1,3,0,1,1,1,1,0,0,4,4,1,2,2,1,5,2,4,0,3,0,3,4,1,5,4,4,5,1,1,3,3,1,0,0,1,1,0,0,1,0,2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,2,0,0,0,0,1,0,0,1,0,0,0,1,0,1,2,2,1,0,0,0,3,3,1,2,2,0,1,0,1,1,2,2,1,1,0,0,1,2,2,3,1,2,2,2,3,1,1,1,1,1,1,4,2,1,1,1,1,4,1,2,2,0,3,4,0,0,2,2,1,2,2,1,0,2,4,3,2,2,2,1,1,3
1,3,2,0,1,0,2,1,0,1,1,3,3,1,6,0,0,2,1,2,4,1,0,0,2,2,0,3,1,1,1,3,0,2,2,3,0,1,2,0,2,2,2,1,1,2,2,1,3,1,0,3,0,0,1,2,2,2,0,2,2,2,0,1,1,3,3,1,0,0,1,2,3,1,1,0,2,1,2,1,2,0,0,0,5,1,1,3,3,4,7,1,0,1,1,1,0,1,1,0,2,1,1,1,1,1,3,1,0,1,3,3,2,0,0,1,0,1,0,0,1,0,1,2,0,0,4,3,3,1,2,7,0,1,3,0,0,2,2,2,5,0,2,3,4,3,4,4,1,0,1,1,0,0,3,0,0,0,0,0,1,0,0,2,0,0,0,1,0,1,0,1,0,1,0,1,0,0,3,1,2,2,0,1,2,1,0,1,1,1,0,0,0,3,0,0,2,1,2,0,1,0,1,1,0,1,1,2,0,1,2,5,3,1,3,4,3,5,3,1,1,0,1,1,1,3,1,1,0,2,0,2,4,1,0,0,1,1,3,1,1,1,1,2,2,0,1,0,4,1,0,1,5,1,0,0
1,3,1,3,2,0,2,0,0,2,1,4,0,1,2,2,3,1,3,0,1,1,5,0,1,1,4,0,1,1,2,3,1,2,2,3,0,1,5,2,2,0,2,1,4,0,1,1,0,3,0,3,2,0,2,1,1,0,1,1,2,1,3,0,3,0,2,2,0,1,1,0,1,2,1,0,2,2,1,4,0,0,4,1,1,2,1,1,1,0,1,1,0,1,4,1,1,0,0,1,3,0,0,2,0,0,0,1,2,1,2,1,1,2,3,2,0,2,3,0,0,1,1,1,1,2,1,2,1,3,3,1,0,1,7,3,2,1,5,4,1,1,4,1,4,1,2,0,0,3,0,1,0,0,1,0,0,0,0,3,1,0,0,0,0,0,1,1,0,3,1,0,3,0,0,0,0,1,0,0,1,1,0,0,0,2,1,0,0,0,1,0,0,0,0,1,2,0,2,1,0,0,1,3,0,1,2,1,1,1,0,2,0,0,4,2,3,2,0,0,0,4,1,0,3,0,2,3,1,1,0,1,1,0,1,2,0,2,4,0,2,3,3,2,2,3,1,1,3,3,3,1,0,1,0,1
0,0,2,1,1,0,1,1,1,4,1,1,2,1,0,1,5,1,2,1,0,0,2,2,1,3,3,0,0,1,2,1,0,1,1,0,4,2,3,2,1,0,1,2,4,0,3,2,3,1,1,1,1,1,2,1,4,0,2,0,2,2,2,1,1,4,3,5,0,1,1,1,2,3,0,2,2,2,1,4,2,1,1,1,3,1,2,2,4,2,1,2,1,1,0,1,1,1,0,1,0,0,2,2,1,1,0,0,0,1,0,1,0,3,1,1,3,1,1,0,0,1,2,0,5,0,1,3,0,3,4,3,2,3,3,0,5,5,1,4,2,2,5,5,2,1,0,3,0,2,1,2,0,0,1,0,1,1,1,1,0,2,0,1,0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,0,3,2,0,0,0,2,0,1,1,3,2,2,3,1,2,3,0,5,3,1,0,3,0,1,1,1,0,0,1,2,1,0,1,2,0,3,0,3,3,3,0,3,1,2,2,3,1,0,4,1,1,0,1,1,0,1,1,2,0,1,2,1,0,3,0,1,4,3,1,1,4,1,1
0,1,0,3,0,2,1,2,1,2,0,3,4,2,1,1,0,4,0,1,1,0,0,0,1,0,2,0,0,2,0,1,3,1,0,2,0,1,0,1,4,1,3,0,1,0,3,1,3,1,2,2,0,1,2,0,1,0,2,0,2,0,1,1,2,1,2,2,4,1,1,0,1,2,3,1,4,2,3,0,2,1,1,2,0,0,0,0,2,1,3,0,0,3,0,2,0,2,1,2,0,1,1,1,1,0,2,1,1,2,2,3,1,2,0,1,3,1,3,1,4,0,1,2,0,4,1,2,1,2,2,1,1,4,2,3,6,0,2,1,3,3,4,1,1,3,2,0,0,0,1,0,1,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,0,1,2,1,0,0,0,1,1,0,2,0,1,0,1,2,1,3,3,1,2,1,1,2,2,1,0,5,1,2,4,0,0,0,1,0,0,1,0,2,2,1,0,2,1,1,0,4,1,3,1,1,2,2,3,2,3,1,0,1,1,2,1,2,2,2,0,1,1,4,4,0,0,2,3,2,2,2
3,2,1,3,2,2,0,2,2,3,1,1,1,0,0,1,0,0,4,1,1,2,0,1,2,1,2,1,1,4,2,1,1,1,0,3,1,4,2,3,1,1,0,3,1,1,1,3,1,1,1,2,1,1,1,2,2,1,0,2,3,2,1,1,2,1,1,3,1,3,2,2,1,1,0,2,1,4,1,0,2,3,2,0,1,1,0,0,0,1,1,2,1,2,0,1,0,2,2,1,1,3,1,1,2,1,2,1,0,2,1,1,2,1,1,3,2,0,3,1,1,2,2,1,1,3,4,3,2,4,4,4,0,4,4,2,5,3,4,3,5,2,2,2,1,1,1,0,0,0,0,2,1,0,0,1,0,0,0,1,3,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,0,1,0,4,4,1,0,1,3,1,3,1,1,1,2,1,1,1,4,1,2,1,3,2,3,0,0,0,3,1,2,3,0,1,3,4,0,3,0,3,1,2,2,0,2,0,1,0,3,4,1,3,0,3,0,3,0,3,2,0,2,1,3,1,3,1,0,2
1,0,1,1,0,3,2,1,1,2,2,3,2,3,2,3,1,1,0,0,2,5,0,2,2,2,0,1,0,0,0,1,1,1,3,0,0,1,0,0,2,3,4,1,1,1,2,1,0,1,4,3,1,0,1,0,0,0,1,1,2,1,2,0,0,1,3,0,0,2,2,1,0,1,2,1,2,2,1,0,2,2,1,2,0,1,3,1,1,4,0,2,1,1,1,1,1,0,0,0,2,0,1,2,1,2,0,1,0,0,0,1,1,1,0,4,1,4,4,1,1,1,2,0,3,2,5,0,3,1,1,2,1,5,0,3,4,2,3,0,4,3,2,2,2,2,2,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,2,0,0,1,0,0,1,0,0,0,1,0,0,1,2,1,1,0,0,1,0,2,1,1,3,0,0,3,2,3,2,3,1,2,2,2,0,1,1,0,2,5,4,0,2,1,0,0,3,0,1,1,1,0,0,3,1,1,2,4,2,3,0,3,1,0,2,0,6,1,2,1,0,0,1,0,3,1,0,0,2,3,3,2,2,6,1,0,5
2,1,1,1,2,1,2,2,2,1,0,0,1,2,1,2,0,1,0,1,1,2,0,3,2,2,3,1,3,0,1,1,3,2,0,0,1,1,2,0,1,1,2,3,0,3,2,4,0,4,2,0,0,0,0,1,2,1,2,2,3,2,0,2,1,0,1,2,0,1,3,2,1,0,0,2,3,0,1,2,1,1,0,0,2,0,1,0,0,0,1,1,0,0,2,1,1,1,1,0,1,3,1,0,0,1,0,3,0,1,1,0,1,0,4,3,1,1,3,4,0,0,2,1,3,0,1,2,2,0,5,2,0,2,0,3,3,2,5,3,5,4,1,3,4,1,4,0,0,0,0,0,0,2,1,0,0,0,1,0,0,0,2,2,1,2,0,3,1,0,1,0,0,0,0,0,1,0,0,0,1,0,2,1,0,0,0,1,3,1,1,4,4,0,0,3,2,1,0,2,0,2,2,3,1,1,1,1,0,1,2,1,1,1,2,2,2,1,0,5,4,3,0,1,0,2,3,1,3,0,5,1,2,2,1,4,0,0,2,3,1,2,0,0,0,0,2,1,0,0,4,1,2,1,3,2
2,2,1,1,2,3,1,1,1,1,1,0,1,1,3,1,2,0,0,2,1,0,1,1,3,0,0,3,1,3,4,1,1,2,0,2,0,2,1,1,1,2,2,1,3,0,1,0,2,1,0,3,4,3,2,2,3,4,4,1,1,1,1,2,1,3,3,1,2,2,0,2,0,1,0,3,0,2,0,3,2,0,0,1,2,1,2,0,0,1,2,2,2,4,0,1,0,0,1,1,2,0,0,1,1,3,2,1,2,2,1,1,0,0,0,0,1,0,2,5,2,1,1,1,0,0,1,0,0,2,2,3,1,1,2,2,1,4,0,1,0,4,3,4,3,2,3,1,2,1,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,2,1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,2,1,0,1,0,1,0,0,1,2,2,0,2,2,1,3,3,1,3,3,0,1,1,0,4,2,1,1,1,1,0,2,3,2,4,1,1,0,4,1,0,1,3,0,0,1,2,4,1,2,0,2,4,4,0,4,1,4,1,0,3,1,2,1,4,3,1,5,3,4,3,1
1,1,0,1,2,2,1,1,1,3,0,2,2,1,2,1,0,0,2,1,1,2,1,2,1,1,2,2,0,0,2,1,3,1,1,2,3,0,1,3,1,0,0,1,1,2,0,0,1,1,1,2,2,0,1,1,0,1,1,1,0,2,0,3,2,4,2,2,0,2,2,1,0,2,3,0,1,1,0,1,1,3,2,2,3,1,1,0,1,0,2,2,2,3,1,2,2,4,1,2,0,1,0,1,1,3,5,3,1,3,0,1,2,2,0,1,0,1,1,3,1,2,0,1,0,3,1,1,3,0,5,3,0,1,1,2,0,2,6,0,3,3,1,3,2,5,0,1,1,0,0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,0,1,3,0,0,1,0,0,1,1,1,2,0,0,0,1,1,1,0,0,1,1,1,0,1,1,2,2,0,0,3,1,2,2,0,3,0,2,1,1,0,1,2,1,1,0,0,2,2,2,0,5,2,1,1,3,1,1,1,0,1,1,2,1,3,3,3,1,5,3,3,2,1,1,2,2,0,0,3,2,1,2,0,1,1,3,3,2,1,0,2
3,2,1,1,0,1,0,1,2,1,2,1,0,2,0,3,2,1,2,1,0,1,3,1,2,0,1,1,3,0,0,1,1,1,0,2,1,3,0,0,2,1,0,2,2,0,0,3,1,4,1,1,2,3,3,3,0,1,3,2,1,2,0,1,0,1,1,0,3,0,1,0,3,1,2,0,0,1,0,2,1,2,1,0,1,0,0,1,2,2,2,1,2,1,2,1,1,2,1,3,1,1,1,1,2,0,4,1,2,2,3,1,0,1,0,2,1,0,2,0,1,2,2,1,2,2,5,5,2,0,0,2,3,1,5,2,1,3,2,2,3,3,3,2,1,2,1,0,1,0,0,0,1,0,1,0,0,2,0,0,0,2,1,0,1,1,0,1,2,0,0,1,2,4,1,0,0,0,2,0,0,2,0,3,1,3,0,2,1,4,2,2,1,1,1,5,2,0,0,3,1,1,0,2,1,1,3,0,5,2,0,4,2,3,0,0,0,1,1,2,3,2,1,0,0,2,0,0,0,1,0,1,2,2,1,2,2,0,3,2,0,1,7,2,3,0,1,1,3,1,2,0,3,0,2,2
1,2,0,0,2,1,1,1,3,0,2,1,1,1,0,0,4,1,1,2,2,1,3,0,0,1,1,2,1,1,0,5,3,1,2,1,1,2,1,0,3,4,0,2,0,1,2,0,0,0,2,1,4,2,3,2,1,4,1,1,1,0,1,1,1,0,2,2,1,0,0,0,1,4,1,1,0,0,4,3,1,1,0,2,4,2,3,2,2,0,1,2,1,1,2,0,0,0,1,1,2,1,0,4,1,1,1,0,3,1,0,0,0,2,1,3,0,1,0,3,5,3,1,0,0,1,3,3,1,0,2,0,1,1,2,2,1,7,1,4,3,0,1,2,1,0,0,0,0,0,0,1,1,0,1,2,0,3,0,0,3,0,0,1,1,1,0,1,1,1,0,0,1,2,0,1,0,1,1,0,0,1,2,1,0,2,3,1,0,2,2,6,0,1,1,1,3,1,2,2,2,1,3,2,2,1,0,0,1,0,1,1,1,1,7,3,4,2,2,3,1,1,2,1,0,1,1,1,1,1,0,1,0,2,0,6,1,1,0,1,2,5,3,2,2,2,3,1,1,1,1,4,2,1,3,3
0,0,1,0,0,2,0,0,2,1,0,1,0,1,0,2,0,0,0,0,0,1,1,0,2,1,1,2,1,1,0,3,0,2,1,1,1,1,3,1,1,1,1,2,1,3,0,0,1,2,2,0,2,0,1,0,2,1,4,0,1,1,2,0,1,1,0,2,1,0,0,3,0,2,3,2,4,1,0,1,2,1,0,6,1,2,1,2,0,0,0,2,3,3,0,1,3,0,0,1,4,0,1,0,0,2,1,3,2,0,0,0,1,1,1,2,1,2,1,1,3,1,0,2,2,3,5,1,4,1,3,1,0,1,3,1,4,0,3,3,5,4,1,0,2,0,0,1,0,1,0,0,0,2,1,0,0,1,2,0,0,0,3,0,0,2,1,3,0,0,0,1,0,3,0,1,2,0,1,1,0,2,4,2,2,1,2,1,0,2,2,5,1,0,3,3,0,0,4,4,0,1,2,1,0,1,2,2,1,4,1,2,5,1,2,1,2,2,2,2,3,1,1,0,2,0,2,0,1,1,2,0,0,4,0,1,5,3,0,4,2,0,1,2,3,1,4,1,1,1,1,0,1,0,3,1
3,2,2,1,1,0,1,3,5,2,0,0,2,0,3,2,1,4,0,1,0,2,3,2,1,0,1,2,1,0,0,0,3,2,0,2,2,1,1,1,0,0,3,2,2,1,1,3,4,1,0,3,1,1,3,0,2,0,1,3,0,1,1,0,1,0,0,0,1,2,3,2,3,1,1,2,0,0,0,1,1,0,1,0,0,2,1,0,2,0,1,2,1,1,1,0,1,2,0,2,0,2,0,0,0,1,1,1,1,1,1,2,1,0,1,2,0,3,3,2,1,1,2,1,2,0,4,1,2,0,1,0,2,3,3,3,2,2,0,2,1,7,1,2,0,0,0,0,0,5,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,3,3,3,0,0,0,0,0,1,0,0,1,1,1,2,2,2,0,2,1,1,1,0,5,2,1,0,1,2,1,1,5,0,1,1,2,2,2,1,0,2,0,0,0,2,1,2,0,0,1,1,0,4,0,2,2,0,4,2,1,1,1,6,3,0,2,3,1,3,1,2,4,1,1,1,0,1,0,2,5,1
2,4,1,1,3,4,1,1,3,0,2,3,1,2,3,0,3,0,4,2,0,0,1,0,1,2,1,0,1,2,1,1,1,1,0,4,1,1,1,2,3,0,2,0,0,1,3,1,4,2,1,1,2,1,4,0,0,0,2,1,2,1,3,0,2,1,2,2,0,1,0,1,0,2,3,2,1,0,2,2,0,1,1,2,0,1,1,1,1,1,1,4,2,3,1,0,2,2,1,2,1,0,1,0,3,1,0,2,1,0,1,2,3,2,2,0,3,0,2,2,0,1,2,0,1,1,0,0,2,0,3,3,2,3,5,2,3,7,0,3,2,2,4,1,2,0,0,0,1,0,1,2,1,1,0,1,0,0,0,1,1,0,1,0,2,0,0,2,1,0,2,1,2,1,1,2,1,3,0,1,2,1,2,0,1,2,3,3,4,1,0,2,2,0,0,4,1,2,0,0,0,5,3,0,1,0,2,1,0,0,2,0,0,2,1,3,0,2,4,2,2,6,1,0,1,2,0,2,3,1,0,1,0,0,1,1,2,1,2,2,2,2,1,2,0,2,0,1,1,2,0,3,0,3,0,1
1,1,0,3,1,3,0,2,2,3,0,0,3,2,1,2,2,2,3,0,0,1,4,0,0,1,3,1,0,3,0,0,1,1,1,4,2,1,2,0,0,3,1,0,1,2,3,0,5,1,1,2,2,3,0,0,3,1,1,3,0,1,1,3,1,0,1,1,0,2,1,2,2,0,1,0,0,0,1,4,3,0,3,0,1,2,1,3,2,0,0,3,2,3,3,3,0,5,3,2,0,3,1,2,0,1,1,3,1,3,0,0,1,2,2,1,1,1,3,4,0,6,2,1,2,0,0,1,0,2,0,1,3,1,3,1,2,4,4,2,3,1,2,4,2,2,0,0,0,1,0,0,0,1,0,1,0,2,1,3,0,1,3,0,0,0,2,0,2,0,2,1,5,1,0,1,0,1,1,2,0,1,2,5,2,1,1,0,1,3,0,2,4,2,2,0,1,0,1,2,0,1,0,1,1,4,1,1,0,2,0,5,3,0,2,1,1,1,0,1,2,0,0,1,3,1,2,0,3,1,3,0,1,1,3,2,1,1,2,0,2,1,5,0,2,4,1,0,5,0,3,2,0,3,0,2
1,1,1,1,1,0,3,4,2,2,1,3,0,0,3,2,0,3,2,0,1,0,2,4,3,0,2,2,3,0,1,1,0,0,1,0,2,1,3,2,1,2,2,1,2,0,2,1,2,1,3,1,1,1,1,5,0,1,2,3,2,1,2,2,4,4,2,3,0,3,1,1,1,0,0,1,2,0,1,2,1,3,2,2,2,4,2,2,1,2,3,3,2,1,2,1,1,1,3,0,3,0,1,0,5,1,3,0,2,1,0,1,0,6,1,0,2,0,1,0,0,1,1,2,2,1,4,0,2,1,3,4,2,1,1,3,1,2,1,3,1,6,2,2,2,1,2,2,2,0,1,0,0,1,1,1,0,0,0,0,0,2,0,3,0,0,2,1,1,2,2,2,0,1,1,3,1,1,2,0,1,3,2,1,2,0,1,3,2,2,4,0,0,1,1,2,0,4,0,1,1,0,1,3,3,1,0,1,2,2,1,3,0,2,0,3,1,1,0,1,4,1,2,0,0,2,4,2,0,0,3,3,2,0,1,2,2,1,0,0,1,1,0,1,2,2,2,2,1,0,2,2,0,2,1,3
0,2,8,2,2,1,1,0,2,4,1,2,1,2,2,1,2,4,1,0,2,0,0,0,2,0,1,0,1,2,0,1,0,2,0,2,1,2,3,2,1,0,1,0,2,1,2,1,1,1,2,1,3,0,0,1,0,4,0,2,1,2,1,0,2,1,0,0,0,0,3,1,3,1,1,0,2,0,1,4,1,1,3,0,3,0,4,3,2,2,1,0,1,6,4,2,1,4,1,0,0,2,0,0,0,1,0,2,1,2,0,5,0,1,5,3,4,1,2,1,0,4,0,2,1,0,0,1,1,2,3,1,1,2,4,3,2,4,2,2,2,1,1,1,2,0,1,0,2,2,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,0,0,3,1,4,3,0,2,2,1,0,2,2,0,0,0,2,0,1,3,3,0,2,1,0,2,1,3,1,5,1,3,1,0,1,1,4,0,1,0,1,1,1,1,1,1,4,1,1,0,3,1,3,3,1,3,0,1,1,2,0,1,3,0,0,2,2,3,1,3,2,2,1,1,1,1,1,1,1,1,0,3,0,0,0,2,1,2,0,1,0
1,2,1,2,1,3,2,3,1,5,0,1,1,6,0,1,4,4,2,1,0,2,1,2,1,2,0,0,2,4,1,6,0,1,2,2,3,0,0,2,1,2,4,0,2,0,1,0,1,2,1,0,1,0,1,0,1,1,0,2,2,0,3,2,0,0,2,1,2,0,0,0,1,4,2,0,1,2,2,0,2,2,1,1,4,0,2,0,0,2,1,0,0,0,3,1,0,0,2,1,0,1,0,3,1,2,1,1,2,1,1,0,2,2,3,1,0,0,3,3,1,3,1,1,0,1,0,2,1,1,0,1,0,1,0,3,2,1,2,3,2,2,0,0,1,1,0,3,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,3,0,1,1,4,1,3,2,1,1,2,3,3,1,0,0,3,1,3,0,3,1,2,3,1,0,0,1,3,1,0,1,1,2,1,2,2,1,0,3,1,0,3,0,2,2,3,1,1,3,1,2,4,0,1,1,1,0,0,2,2,2,0,2,1,0,2,2,1,0,0,2,1,0,2,1,3,1,1,5,1,0,4,1,1,3,1,2,0,2,3
3,0,1,3,1,1,3,0,1,3,1,2,0,1,2,1,0,0,3,3,1,1,2,0,1,3,0,1,1,2,2,1,1,0,1,1,2,1,3,0,1,2,2,3,0,0,2,2,2,2,2,0,2,1,2,4,2,1,1,1,5,0,1,0,2,0,0,1,0,1,0,4,1,2,1,2,2,0,1,3,2,0,1,0,2,2,2,1,2,0,0,2,1,1,2,1,1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,1,0,3,2,0,2,1,1,2,1,3,3,4,1,0,0,2,1,0,1,2,2,0,4,1,4,4,4,3,0,1,2,1,2,0,0,0,1,1,2,3,0,2,2,0,0,0,2,0,2,0,1,0,2,1,0,0,1,1,2,0,1,0,1,3,0,1,0,3,3,0,1,2,0,0,2,1,1,2,0,2,1,3,1,2,1,1,0,2,1,0,1,3,3,1,1,1,0,2,3,3,1,1,0,0,4,1,1,1,1,3,1,1,2,4,3,0,0,2,0,1,1,1,1,3,1,3,2,1,3,0,1,1,3,2,1,0,1,5,1,3,2,0,3,1
2,2,1,0,2,0,4,0,2,0,0,1,2,4,3,2,4,1,0,2,1,1,2,4,0,0,0,0,1,2,1,3,1,2,0,2,2,3,0,0,2,2,3,3,2,1,2,0,3,2,0,1,2,0,6,1,0,2,2,2,1,1,1,2,2,0,0,2,0,1,0,2,3,0,4,2,0,2,1,2,0,0,2,2,2,2,1,4,1,1,1,1,0,0,1,0,4,0,1,3,0,3,1,2,1,1,0,1,0,1,2,3,2,1,0,1,4,1,0,1,1,3,2,0,1,1,0,2,2,3,2,0,0,1,3,3,2,1,6,1,4,2,1,1,1,1,0,1,1,0,1,1,1,0,0,2,1,3,0,1,0,2,1,3,1,2,1,0,0,0,1,3,1,3,0,2,0,1,0,1,2,4,1,0,0,0,2,2,2,3,1,1,1,0,6,0,2,0,2,3,1,0,1,1,0,2,0,1,3,2,3,2,3,2,1,2,0,1,4,2,2,0,3,1,0,1,3,2,0,2,1,1,3,2,2,3,0,0,0,0,0,2,1,0,1,5,2,1,5,1,2,4,2,2,1,2
1,2,1,1,1,0,3,1,0,1,2,4,0,0,1,1,0,1,3,1,4,1,1,3,0,0,1,1,0,2,3,2,0,1,3,2,3,2,1,0,1,1,1,1,1,2,0,3,1,2,1,0,2,0,4,1,2,1,0,3,1,2,2,0,1,3,0,0,2,4,1,1,0,0,2,0,1,3,1,1,1,3,3,1,1,0,0,2,1,4,0,2,1,2,2,2,3,3,0,1,1,2,1,2,0,1,1,1,1,0,2,0,1,2,0,1,1,3,1,2,0,1,3,3,0,2,0,1,1,2,2,0,3,2,2,2,5,5,2,2,1,1,1,1,0,1,0,1,0,2,0,0,2,2,0,0,0,0,1,2,0,1,3,2,2,1,0,2,3,4,5,2,5,3,2,1,0,0,1,1,3,0,1,1,0,2,1,1,1,1,1,0,0,1,2,1,1,5,1,2,0,1,1,2,3,1,2,2,3,1,2,3,1,2,0,3,6,0,0,1,1,3,2,1,2,0,0,1,1,2,5,3,2,4,0,0,2,2,0,3,1,1,1,2,3,0,2,1,2,4,4,1,0,2,1,2
0,0,0,0,1,1,2,1,3,0,1,1,2,1,3,1,0,1,0,0,1,2,1,6,1,0,0,2,0,2,0,0,4,3,2,0,1,2,4,5,4,2,0,5,3,1,2,1,2,1,1,2,0,3,1,4,0,1,1,0,3,1,2,0,2,0,1,1,5,0,2,2,0,0,0,1,1,0,0,1,3,0,2,2,0,4,0,1,3,0,1,0,2,0,4,3,3,1,1,3,0,0,0,3,2,0,3,1,1,1,1,2,2,2,1,2,2,4,1,1,0,4,0,1,4,2,3,1,0,1,0,0,2,1,3,2,0,3,0,1,3,1,2,0,1,1,2,0,1,0,0,1,1,1,0,0,3,0,0,2,0,1,3,0,2,1,0,1,3,1,2,2,1,2,1,1,3,3,2,3,0,5,2,0,5,3,3,2,1,0,1,1,1,0,2,3,4,2,0,3,2,1,0,0,0,1,6,2,0,1,0,1,0,2,2,2,3,0,2,2,5,3,2,1,0,0,1,1,0,0,3,1,0,1,1,2,2,1,2,0,1,0,1,0,1,1,2,0,1,1,1,1,0,0,0,3
0,2,1,5,0,1,2,1,0,1,1,2,4,0,1,1,0,3,2,1,2,1,1,1,0,0,1,2,2,1,1,0,0,0,1,2,0,1,2,1,1,0,1,1,2,2,0,2,3,3,1,1,0,1,0,2,0,1,0,2,5,0,0,2,2,0,0,2,1,4,0,2,1,0,0,3,3,0,0,1,1,0,0,2,0,1,1,1,0,0,1,2,1,1,1,0,1,2,1,1,1,2,2,0,1,0,0,3,2,0,0,2,1,0,0,1,1,2,1,2,3,0,2,1,3,1,1,1,1,1,1,2,2,0,1,0,1,1,4,4,1,3,2,2,1,1,1,1,0,2,1,0,0,0,1,2,0,1,1,2,3,2,3,3,2,4,1,2,1,0,0,1,1,1,0,0,2,0,4,2,3,1,1,1,0,2,1,0,1,0,1,0,4,2,0,3,3,0,2,2,0,0,2,4,0,0,2,1,1,1,3,0,1,1,2,0,3,6,1,1,1,2,0,1,5,3,2,2,1,1,1,1,2,0,1,0,0,2,0,1,1,0,2,2,5,2,4,3,2,1,0,0,0,1,3,3
2,2,2,1,1,0,0,3,3,0,2,5,3,3,3,1,2,0,2,1,5,2,0,2,3,0,1,1,0,3,0,0,0,1,3,0,2,1,1,2,0,3,1,1,0,1,1,2,2,1,1,0,1,1,1,3,5,0,1,1,0,2,1,3,0,1,2,1,1,0,0,1,2,3,2,4,1,1,1,3,0,1,2,1,3,0,2,2,1,2,2,3,2,1,1,1,0,0,1,3,1,1,0,1,0,1,0,0,0,0,1,0,2,1,0,2,0,1,2,3,2,2,2,0,3,1,2,1,0,1,0,2,2,2,3,1,2,2,4,2,3,0,2,0,0,3,0,0,2,0,1,1,0,4,2,0,1,2,3,1,1,4,2,1,0,2,0,1,3,3,1,3,1,0,1,1,0,1,0,0,3,0,2,0,0,0,0,1,2,1,0,1,1,3,1,0,2,2,1,0,1,2,1,0,0,1,5,2,1,2,4,2,5,2,3,1,1,3,1,0,1,5,0,2,3,2,1,2,1,2,0,1,1,1,0,0,0,1,0,3,1,1,2,3,1,1,0,0,1,3,1,0,1,1,1,0
1,0,1,2,1,2,1,2,0,2,2,1,1,1,2,3,2,2,3,5,3,1,4,1,0,3,0,2,3,1,0,3,1,1,1,2,1,2,2,0,0,0,0,1,1,3,1,3,0,3,3,1,0,0,3,1,0,0,0,1,1,1,1,0,1,3,0,1,2,4,0,0,0,1,0,1,2,2,0,2,2,1,0,2,0,2,0,3,0,1,3,1,0,0,0,0,2,1,1,2,1,1,1,3,2,2,2,3,2,2,1,3,3,0,2,0,2,1,2,2,1,0,0,1,1,4,2,0,1,3,2,0,0,2,0,1,0,1,1,1,1,2,0,2,2,2,1,2,2,0,1,0,2,0,1,0,1,0,0,3,2,0,2,2,5,2,1,1,2,1,1,1,0,2,2,0,0,3,1,3,4,1,1,0,1,0,3,2,1,0,2,0,2,2,3,1,1,1,2,0,3,0,0,2,1,2,2,2,0,1,1,1,1,2,4,2,2,2,1,1,1,5,1,1,2,0,3,2,0,2,1,3,0,1,2,0,1,5,2,3,0,1,3,0,3,3,1,2,0,3,3,1,1,1,3,1
0,0,1,2,2,5,1,1,1,2,2,3,2,0,3,0,0,0,0,4,2,3,4,4,1,2,0,3,0,0,1,5,3,0,0,1,4,3,1,2,1,0,1,0,2,1,1,0,4,1,1,1,0,0,1,0,3,2,1,0,0,1,1,1,0,2,2,2,2,0,0,1,2,1,2,2,1,1,2,0,1,1,1,1,1,2,1,0,1,1,2,1,0,1,3,1,0,1,2,3,1,2,2,1,2,1,0,3,1,2,3,0,0,2,2,1,2,1,1,2,1,1,1,0,3,2,2,1,3,0,1,2,3,5,2,0,2,3,0,2,1,1,2,3,1,2,2,1,0,2,1,1,1,0,0,0,3,1,3,3,1,6,1,2,4,0,4,0,1,4,2,1,2,0,3,1,1,2,0,1,1,3,0,0,0,2,1,3,0,1,1,1,3,0,0,0,1,0,1,0,1,2,2,0,0,2,3,2,1,1,1,0,3,1,4,1,1,0,2,3,2,5,4,1,2,4,0,1,1,5,0,4,3,2,0,3,0,3,0,3,1,1,2,1,1,1,1,2,1,1,1,2,2,0,1,4
1,1,2,0,2,1,1,1,2,1,0,2,0,1,2,2,2,3,1,2,2,3,0,2,5,1,2,1,1,2,4,1,2,2,1,0,1,0,1,1,0,1,3,1,1,1,2,1,3,1,1,1,1,2,4,1,1,3,0,0,1,0,1,1,2,1,0,1,1,2,1,2,1,2,2,1,1,0,2,2,4,2,0,2,3,1,1,2,4,1,2,1,1,2,2,1,1,0,2,3,0,1,1,2,1,2,1,2,0,7,0,0,1,0,0,0,1,2,2,1,1,4,3,1,1,1,0,1,1,1,1,3,1,1,0,2,1,1,2,2,1,1,0,1,1,3,2,1,2,2,1,0,1,1,4,3,1,1,2,1,6,2,0,3,5,3,3,1,3,2,2,1,0,1,0,1,0,1,3,2,1,3,1,1,0,0,1,1,2,1,1,3,1,1,4,2,3,2,1,3,1,1,2,1,2,2,1,0,1,2,2,2,1,0,1,1,0,2,2,0,1,3,1,2,0,2,3,0,1,3,2,2,3,0,1,0,2,2,0,3,3,4,5,1,2,3,1,0,3,0,0,0,5,0,3,2
3,1,2,1,1,2,6,3,2,1,2,1,1,1,0,2,4,1,1,2,1,0,2,2,3,3,0,1,2,0,2,1,0,0,1,0,1,3,4,1,0,3,0,0,1,0,4,0,3,2,4,0,0,1,0,1,1,3,2,0,4,3,2,4,1,2,3,2,2,4,2,2,1,3,2,1,1,1,1,1,2,0,0,1,0,2,3,0,1,0,0,1,1,0,0,1,3,4,1,1,1,1,0,1,1,0,0,0,2,1,0,3,0,1,0,2,2,2,1,1,1,0,1,3,1,0,2,0,2,2,2,0,1,4,0,3,1,2,1,2,0,1,3,1,1,1,1,3,0,0,0,0,2,1,1,0,2,4,4,1,1,3,4,0,1,2,1,0,2,1,2,2,1,2,0,2,0,1,6,3,2,1,1,3,1,1,3,5,1,1,3,1,0,0,1,1,4,1,0,2,2,4,2,0,1,3,1,2,1,4,0,3,3,0,3,1,0,0,0,2,1,3,5,1,2,2,1,3,2,4,3,1,2,1,2,1,0,1,1,0,1,4,4,2,2,1,1,3,1,1,1,1,1,1,2,3
1,1,0,0,3,0,5,1,2,1,1,1,1,0,0,2,2,1,0,0,2,3,2,4,0,2,1,1,0,0,1,2,3,2,0,1,1,0,3,0,2,0,1,2,0,1,1,1,2,2,3,2,2,1,2,3,2,2,2,0,4,0,1,1,1,0,0,2,3,1,2,1,1,2,2,2,0,0,2,0,2,0,1,0,0,2,1,1,0,1,2,3,0,2,0,3,1,3,2,4,2,0,0,2,3,1,1,2,1,3,0,0,0,0,2,2,1,3,0,3,2,0,0,1,1,1,0,0,0,3,1,1,0,2,0,2,1,2,5,2,1,2,0,0,2,5,2,2,1,1,2,2,2,1,1,1,0,4,0,1,1,2,1,1,4,0,3,2,0,1,1,1,3,1,2,1,1,1,2,1,2,0,1,0,3,0,1,1,1,0,1,1,0,2,4,1,0,0,1,2,0,2,0,0,2,1,1,1,3,1,1,0,1,2,3,2,3,1,0,0,4,0,1,1,1,3,2,2,1,4,0,3,2,0,1,1,1,1,1,2,2,1,2,0,0,0,1,0,2,2,1,0,0,4,3,1
1,2,1,0,1,1,2,2,1,3,4,1,5,1,0,3,0,2,1,1,0,0,1,1,0,1,1,2,0,5,3,0,1,0,4,2,3,2,3,1,1,2,0,3,2,0,3,2,1,1,0,1,1,1,2,0,3,0,0,3,3,0,0,4,2,1,2,2,0,1,1,0,1,0,2,3,0,1,1,2,0,1,3,1,3,1,2,0,0,1,4,2,2,1,3,3,0,3,2,1,2,2,1,3,1,2,0,2,0,2,1,0,0,3,2,1,3,4,2,2,0,2,0,1,2,1,2,1,2,3,0,0,1,3,1,1,1,0,0,4,2,1,0,1,0,0,1,2,0,0,0,1,3,0,0,2,0,3,3,0,1,0,4,3,0,2,0,0,1,3,2,2,0,0,0,2,3,1,1,2,2,1,2,1,2,1,2,2,2,1,1,2,2,1,2,2,1,2,1,1,5,5,2,0,0,3,1,3,1,1,2,1,2,1,2,2,2,2,1,3,3,1,0,0,1,1,1,1,1,0,1,2,3,3,3,0,1,4,2,3,4,0,1,1,2,0,1,0,2,1,2,1,2,1,1,2
2,1,1,1,1,0,2,2,3,0,3,2,2,1,1,1,0,1,1,3,2,0,0,0,1,2,0,0,0,0,1,1,0,3,2,1,0,2,1,1,3,0,1,3,3,0,2,2,2,2,0,2,1,2,1,0,2,0,0,3,1,0,0,2,1,1,2,1,3,3,1,1,2,3,0,0,1,0,1,2,3,2,0,2,1,1,2,1,0,0,1,3,1,2,5,0,1,1,2,1,3,0,1,1,2,0,2,1,1,0,1,1,2,1,1,1,2,2,2,3,2,2,2,0,0,2,1,0,0,3,0,1,0,5,2,4,1,4,1,0,0,0,3,1,4,1,1,0,0,2,0,0,2,0,1,3,4,1,1,5,0,0,1,4,0,1,2,1,3,1,1,0,2,0,2,0,1,4,2,2,2,0,3,1,1,0,1,3,1,1,2,1,2,1,5,2,0,1,2,2,2,3,1,1,0,0,1,0,4,1,2,1,2,0,0,1,1,2,3,0,1,0,2,0,5,2,3,0,5,1,0,2,2,1,0,1,1,1,3,3,2,1,2,2,0,1,3,0,0,1,3,3,0,0,1,1
4,2,1,2,2,0,2,1,3,1,2,1,3,0,1,1,0,2,0,1,2,0,1,1,0,2,0,2,1,2,1,2,5,1,0,2,2,2,1,0,0,3,2,3,0,1,2,2,3,0,2,3,2,0,1,0,3,1,1,2,0,0,2,0,0,1,0,0,1,2,1,1,1,0,0,3,3,1,1,0,0,0,3,1,0,1,2,1,1,0,1,3,2,1,3,3,3,2,2,4,0,5,1,1,0,2,2,0,1,0,4,2,0,0,2,0,2,0,1,4,1,0,1,0,1,1,1,3,1,0,1,2,1,1,1,0,1,1,0,1,3,3,0,2,1,1,2,1,1,1,2,0,0,1,1,1,0,0,1,0,1,1,0,2,0,0,1,0,2,2,2,0,3,0,2,0,0,2,4,3,1,4,2,0,2,0,2,0,1,1,2,0,1,0,3,2,2,2,2,1,0,5,1,3,1,1,0,2,1,2,0,3,0,0,2,1,2,1,2,0,1,1,1,0,2,2,2,0,0,0,1,2,1,3,4,0,4,0,1,1,1,0,0,0,1,2,1,0,2,2,1,3,0,1,0,3
0,3,0,2,1,1,4,2,3,0,0,0,0,1,1,3,3,1,1,1,3,2,0,4,1,0,2,1,3,0,2,1,2,0,0,0,1,3,3,1,0,1,0,3,0,1,2,2,0,1,1,2,3,3,1,0,2,1,3,2,0,3,3,3,1,0,3,0,2,4,1,1,0,1,1,1,2,1,1,2,1,1,2,4,0,0,1,1,2,1,1,3,1,2,0,1,1,0,2,0,1,0,0,0,3,1,2,2,1,2,1,2,0,1,1,1,4,0,2,1,1,3,1,3,0,1,3,1,1,0,2,1,1,0,1,1,2,1,2,1,1,2,2,0,2,0,1,2,5,0,5,1,1,0,4,2,1,1,0,2,1,1,2,1,0,2,2,0,1,1,0,1,3,1,0,3,1,1,1,1,1,2,1,2,0,2,0,2,2,3,2,2,2,0,1,3,1,0,2,3,1,4,1,1,0,2,0,3,3,2,2,3,1,0,1,4,0,1,0,1,1,1,1,1,2,3,7,2,0,2,4,1,0,1,2,4,2,0,3,1,1,5,2,1,0,0,0,0,2,0,3,5,0,0,1,2
3,0,0,2,0,3,1,2,1,0,0,3,2,4,2,3,0,0,2,1,1,6,3,0,2,2,1,2,4,1,0,2,1,2,1,0,1,0,0,2,0,1,0,0,4,1,1,0,0,1,2,1,1,1,2,1,0,1,1,2,0,3,2,4,2,1,2,1,0,3,2,1,1,2,2,1,1,2,1,2,2,2,2,3,2,0,6,1,0,0,1,0,1,2,0,1,0,0,0,5,0,0,0,4,4,4,0,2,1,1,3,2,1,1,0,3,2,0,0,0,0,0,2,2,0,0,1,3,1,0,1,0,1,2,1,0,1,1,1,1,2,0,0,1,0,1,0,0,3,3,1,2,4,2,2,1,1,0,3,0,0,0,2,2,1,3,3,2,0,2,2,4,1,2,2,2,1,2,3,2,2,3,4,1,0,0,1,1,1,2,1,1,4,0,3,1,2,2,0,2,1,0,3,3,2,2,0,1,1,3,2,1,0,0,4,4,3,2,1,2,2,3,1,1,3,1,0,1,1,0,0,3,1,0,2,1,2,3,0,1,1,2,1,1,1,1,2,1,1,2,4,0,4,3,4,0
2,1,1,1,0,0,0,1,4,1,1,2,0,2,1,0,4,0,0,0,2,1,2,0,1,2,5,0,1,1,1,0,3,1,1,1,2,1,3,0,2,0,1,2,3,1,2,1,1,1,3,0,1,3,0,2,1,1,1,0,2,2,4,3,0,0,2,0,1,1,1,0,1,0,2,2,0,1,0,1,1,0,3,1,0,0,0,1,6,1,1,0,0,1,3,0,3,0,4,1,1,1,1,0,3,2,1,3,2,1,2,2,1,0,2,0,1,2,1,2,1,0,2,0,1,1,1,1,0,2,4,0,3,2,0,0,1,2,1,1,3,1,2,2,1,0,2,1,1,2,0,4,1,1,4,7,2,0,2,4,0,2,3,1,1,0,3,2,0,0,1,1,1,3,2,1,1,1,3,2,3,1,0,0,1,1,0,2,2,1,2,0,1,2,1,5,2,1,3,1,2,1,1,1,3,2,2,0,2,2,4,2,1,1,0,4,2,1,3,1,2,1,1,2,1,0,1,3,2,2,2,3,2,2,1,0,3,1,1,2,2,2,0,1,1,3,4,2,3,3,1,1,1,1,2,1
1,0,2,0,2,1,1,0,0,2,1,1,3,1,2,3,1,0,1,1,1,2,0,2,1,3,0,2,2,0,0,2,0,1,1,2,2,1,0,3,0,0,2,0,1,0,0,3,0,0,1,3,2,1,0,3,0,1,3,3,2,1,3,2,3,2,0,2,1,0,1,1,1,0,2,4,0,1,2,1,0,1,5,1,1,1,3,2,2,3,1,0,1,0,0,1,0,4,1,1,2,3,2,0,1,2,1,0,5,1,1,1,2,1,1,1,1,2,2,1,1,1,3,2,0,1,2,0,2,4,2,1,4,2,3,2,1,4,1,1,2,1,1,5,1,2,2,0,1,0,4,1,5,1,1,4,1,1,1,1,2,2,1,0,2,2,0,2,0,1,0,0,2,2,1,1,0,1,4,3,1,1,0,0,1,4,3,1,3,2,0,0,1,1,2,0,4,5,1,2,2,1,0,0,3,1,1,2,2,1,1,2,2,5,0,0,1,0,0,1,2,0,0,1,2,0,1,1,3,1,0,0,1,3,0,1,1,2,1,0,0,0,1,2,2,1,1,4,0,4,1,2,1,2,1,2
1,0,1,1,0,0,3,1,0,2,2,1,1,2,1,2,1,0,1,0,0,2,1,0,0,0,0,0,1,1,1,1,2,2,0,0,2,1,1,0,3,1,1,3,0,1,3,0,4,2,0,2,3,3,0,2,2,1,1,3,0,3,1,1,2,0,3,0,4,1,1,1,4,3,3,3,0,0,3,2,1,1,2,3,2,2,1,0,1,3,2,1,3,0,1,2,0,1,1,0,0,0,0,1,4,2,1,1,1,1,1,1,1,1,1,0,0,1,0,1,2,1,2,2,3,1,1,0,2,0,0,1,4,0,1,2,2,2,2,4,1,1,0,0,3,3,0,0,0,0,0,1,1,0,0,2,2,0,1,0,5,2,0,4,0,3,1,1,0,2,1,0,1,0,1,1,2,3,2,3,1,2,1,3,0,0,0,1,2,3,0,6,4,2,0,0,0,2,1,0,4,0,0,3,2,1,0,1,0,2,1,1,1,2,2,4,1,2,3,1,2,1,1,3,1,0,1,2,1,2,0,1,1,1,2,2,1,0,0,4,1,4,3,2,2,5,1,1,1,1,2,0,2,2,1,2
0,1,1,1,4,2,1,3,3,0,1,2,3,2,1,4,1,1,1,2,2,4,1,0,2,1,1,0,0,0,3,1,0,1,2,1,3,2,2,0,2,5,2,0,1,1,0,2,0,0,3,2,2,2,3,1,0,0,4,0,1,1,2,1,0,1,2,2,1,0,0,0,1,2,1,4,2,1,0,1,1,0,0,1,2,3,4,0,2,2,0,2,0,1,2,3,3,3,0,0,0,0,3,0,1,4,0,2,0,0,2,2,1,2,0,2,2,1,1,2,1,0,1,1,2,3,4,0,2,1,1,3,2,1,0,3,1,0,3,4,1,1,0,0,1,1,0,0,1,1,3,0,2,6,0,2,1,2,1,1,2,4,0,1,2,2,1,0,0,3,0,0,0,1,1,1,3,1,1,2,4,1,4,1,1,3,5,2,1,4,1,3,0,2,2,2,1,0,2,2,2,3,2,6,0,2,2,0,1,0,0,2,1,3,1,4,3,1,1,1,0,2,2,0,2,1,1,1,1,4,0,3,3,3,1,4,1,2,0,0,2,3,2,1,1,1,1,1,4,1,2,1,3,0,1,0
2,0,0,0,2,4,1,2,0,0,2,1,0,0,0,1,3,3,1,1,1,2,1,1,4,1,0,2,4,3,2,1,3,1,1,2,1,2,1,1,0,1,1,0,2,1,1,1,5,0,1,2,0,2,0,3,0,1,2,0,2,0,0,1,1,1,1,0,1,1,4,1,1,2,1,2,2,0,1,0,0,2,0,0,2,0,1,1,1,4,1,4,1,1,0,0,0,1,3,0,0,1,1,3,1,0,3,0,3,1,1,2,1,0,3,0,0,0,0,2,0,2,2,2,1,0,1,2,3,2,2,0,1,1,1,2,4,0,0,2,2,0,2,1,0,1,1,1,0,2,0,1,1,2,1,1,3,2,0,1,0,1,0,2,3,1,2,1,3,1,0,0,1,2,1,1,2,1,1,4,0,2,2,1,0,3,4,1,3,2,2,1,3,1,2,1,2,0,1,2,1,2,0,1,1,2,1,4,1,1,2,1,3,2,0,2,1,1,2,0,1,3,1,2,0,0,0,1,0,1,0,2,1,3,2,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,0,3,1,1,1,0
3,3,2,0,1,1,2,0,4,0,0,1,2,1,1,1,2,2,2,5,1,2,1,3,0,3,1,1,1,0,1,1,2,2,0,3,1,1,2,1,2,3,1,0,1,1,0,0,2,1,1,0,0,0,0,2,1,0,0,2,2,3,3,2,1,1,3,3,0,2,3,1,2,5,0,4,2,2,2,2,3,2,1,2,0,1,2,0,0,0,1,0,0,2,1,1,0,2,1,0,3,0,3,1,0,0,0,3,1,1,2,2,1,1,1,0,2,0,1,3,1,1,0,3,1,1,2,0,2,3,0,1,1,2,0,3,1,0,3,2,2,0,1,3,0,1,1,0,1,0,4,1,0,2,2,1,2,2,0,1,3,1,1,1,2,2,0,1,0,1,2,3,2,3,1,3,4,1,1,1,3,0,0,2,3,2,0,1,2,3,1,2,2,0,4,2,4,1,1,5,2,0,1,2,3,0,3,1,4,4,1,3,1,0,1,2,0,2,5,0,2,3,0,2,2,0,1,0,2,1,1,2,5,2,1,2,1,1,0,0,0,2,2,0,2,2,3,1,4,1,2,0,2,3,3,2
2,0,2,2,2,2,4,3,3,1,4,0,2,4,1,0,0,3,0,4,0,2,0,1,0,3,0,4,1,1,0,1,2,2,1,0,1,2,1,0,2,1,2,5,2,2,0,2,2,4,3,1,1,2,2,1,1,1,1,2,2,0,0,0,1,2,0,1,1,0,0,0,1,0,2,0,1,1,3,0,2,2,0,2,1,2,0,0,1,1,1,0,2,1,1,2,1,1,2,0,1,2,2,3,2,1,2,2,1,2,0,0,1,0,1,3,0,0,0,0,3,3,0,1,1,2,0,1,0,1,0,0,0,1,1,0,2,2,2,6,1,0,0,2,0,0,5,5,1,0,2,0,3,0,2,2,3,1,2,2,3,1,2,1,0,3,1,1,2,2,0,1,0,1,0,0,0,1,0,1,1,0,1,3,3,1,1,5,2,2,3,1,1,2,0,1,2,0,0,2,0,3,0,0,1,3,1,4,4,0,2,0,2,0,2,1,0,0,1,0,0,3,2,0,0,1,5,0,2,0,2,2,1,3,0,4,2,1,5,2,2,1,1,1,1,3,0,1,0,2,4,1,0,3,2,0
0,0,2,3,2,0,0,0,2,1,1,1,1,2,1,1,2,1,1,0,2,3,1,0,0,2,3,4,1,1,2,0,0,1,2,0,1,1,0,1,1,3,0,0,2,1,0,1,3,5,2,0,2,2,0,1,0,3,1,2,0,2,2,1,2,4,5,2,3,1,1,2,2,1,2,3,0,1,0,1,3,0,0,2,0,1,2,1,0,1,1,0,2,1,2,4,2,2,0,3,3,0,2,2,1,0,1,2,1,1,1,1,0,1,1,3,0,0,1,1,0,1,2,1,1,0,1,3,0,0,2,5,0,0,0,0,2,1,1,0,0,4,1,0,0,0,2,1,1,2,0,4,0,2,1,0,0,0,5,2,2,3,1,1,1,0,1,0,4,1,2,0,1,1,3,1,0,1,1,0,0,1,2,1,3,2,1,2,1,3,1,0,1,0,0,2,1,1,2,1,1,2,0,1,2,2,0,2,1,2,1,2,1,0,0,0,0,2,0,1,1,2,1,0,1,0,2,1,1,0,1,3,2,4,3,2,3,1,0,1,1,0,3,2,1,1,1,1,5,1,2,0,0,2,1,1
4,0,0,2,1,1,0,0,0,2,1,1,1,1,2,0,4,0,2,3,3,3,1,1,1,0,4,2,1,2,2,2,2,1,2,3,0,2,0,2,1,3,0,0,2,2,0,0,0,3,1,2,3,0,0,3,2,0,1,2,2,3,1,0,2,0,0,2,4,4,3,4,1,1,0,6,0,0,5,3,1,3,1,4,2,0,0,1,0,1,0,0,1,1,1,1,4,0,0,0,3,4,2,0,1,2,1,2,1,4,5,1,3,1,2,2,3,0,0,1,1,1,1,0,1,0,2,1,2,1,4,2,1,1,1,2,3,3,1,4,2,3,0,3,1,2,0,1,2,0,0,2,0,1,0,1,3,0,1,1,1,1,4,2,4,0,0,2,1,4,2,2,0,0,2,1,1,3,0,1,3,1,0,1,2,4,3,1,1,0,1,1,0,1,3,1,0,2,3,2,0,0,5,1,1,2,1,1,1,1,1,2,0,0,1,1,1,1,2,1,1,2,4,2,3,3,1,5,1,1,2,3,2,1,1,3,3,1,3,1,1,2,1,1,0,2,0,4,1,1,2,0,0,0,1,0
2,2,0,0,1,1,3,1,5,2,0,2,0,4,1,0,2,0,3,4,0,4,1,1,1,2,2,2,3,2,1,2,1,3,1,0,3,3,1,1,0,0,2,1,4,3,0,1,2,1,1,3,1,1,0,2,2,1,2,4,3,1,1,3,2,1,1,0,1,1,0,1,1,1,2,0,1,2,0,2,1,1,3,1,0,2,0,2,0,3,2,0,0,0,1,1,2,2,1,2,3,1,1,0,0,5,1,0,1,1,1,2,2,1,2,2,0,4,1,2,2,2,0,2,1,0,0,2,5,2,0,0,1,2,2,3,2,0,0,5,0,3,1,2,0,1,3,1,3,2,1,0,1,1,2,2,2,0,2,2,0,1,4,1,0,3,1,2,2,3,4,1,1,1,4,1,2,0,0,0,2,1,2,1,1,2,2,3,0,1,3,1,1,5,4,3,2,1,1,4,2,2,1,1,2,4,1,0,1,1,2,0,2,1,0,2,1,1,0,2,1,2,1,3,1,2,1,2,0,2,2,3,3,3,2,0,1,1,0,1,2,1,2,3,1,3,0,1,2,0,0,2,0,0,2,0
2,2,1,3,2,0,2,1,1,0,2,2,3,2,4,5,4,2,0,0,2,1,1,5,1,1,3,1,2,2,4,0,2,0,0,0,1,0,2,0,1,1,1,3,0,1,2,2,3,3,1,3,1,2,2,0,2,0,0,0,0,6,1,0,2,2,1,0,2,2,1,1,0,1,0,2,1,0,3,1,1,1,1,1,0,2,1,0,3,3,2,0,2,1,1,3,0,3,2,1,0,3,0,2,1,3,1,0,1,2,2,4,0,4,0,6,3,2,0,2,1,3,2,3,0,1,4,1,2,1,1,4,3,0,1,1,1,0,3,1,2,2,0,0,1,2,2,1,0,0,0,1,3,0,4,1,3,3,2,2,3,1,0,2,1,1,1,1,0,1,2,1,2,0,1,2,5,1,1,2,4,2,1,2,5,0,2,1,4,0,2,0,3,1,1,1,4,2,2,2,0,6,2,0,3,0,2,1,2,1,3,2,0,1,2,5,0,0,0,0,1,2,2,3,2,3,2,4,1,3,2,1,1,3,3,3,1,1,2,6,1,0,2,0,1,1,2,0,0,3,0,2,2,1,2,1
2,0,4,1,3,1,1,2,3,0,2,3,3,3,6,2,4,1,1,0,1,2,2,0,0,1,2,0,4,4,1,2,3,1,1,4,0,0,1,0,0,2,0,2,1,0,1,1,2,2,0,0,0,1,1,3,3,0,1,2,1,1,0,2,3,2,1,1,1,3,2,1,1,3,1,1,2,1,2,4,4,2,2,4,1,1,0,2,1,2,1,0,0,0,3,0,4,1,1,0,0,3,1,2,1,0,2,2,1,1,1,2,3,1,1,1,0,2,2,1,1,0,2,1,2,0,1,1,1,1,3,2,1,0,2,1,3,4,2,7,1,2,0,1,2,0,1,1,0,2,0,1,1,0,1,0,1,0,0,2,2,1,4,1,1,1,0,1,0,1,1,1,0,2,2,1,0,2,1,3,1,0,1,2,2,1,2,1,1,5,1,3,2,2,2,2,1,1,1,6,1,0,0,2,2,2,0,2,0,0,1,1,5,3,2,2,0,1,2,1,3,0,2,1,2,2,1,1,0,3,0,3,2,0,0,3,0,1,4,3,2,1,3,2,4,3,1,2,1,0,1,2,1,2,2,0
1,2,1,2,2,4,1,2,4,1,1,0,1,1,2,0,1,0,2,1,0,3,3,0,1,0,1,0,2,1,1,2,3,1,4,0,1,1,2,4,4,3,1,0,0,1,1,1,0,1,2,2,1,1,1,2,3,0,1,1,0,1,3,2,0,4,3,0,1,1,1,1,2,3,1,0,3,3,2,4,0,0,0,1,2,0,1,2,1,0,1,2,1,2,4,2,2,0,3,2,1,1,1,1,1,1,1,4,1,0,2,2,4,1,1,1,1,1,0,1,4,0,2,1,0,1,2,1,3,1,3,0,0,0,1,1,3,0,1,0,2,0,1,1,1,1,1,1,2,4,1,2,3,0,2,1,1,1,2,2,1,1,0,1,1,1,0,0,0,1,0,1,2,1,0,2,0,1,1,1,0,2,0,1,3,0,2,1,3,0,1,2,1,1,1,2,0,2,4,4,2,0,1,0,0,4,2,2,1,1,0,1,4,1,0,3,4,6,1,0,2,1,0,1,1,0,2,2,0,1,0,1,1,0,1,2,3,2,0,2,2,1,2,0,0,1,4,0,1,1,1,1,1,3,0,2
0,1,1,2,1,0,3,0,2,1,3,1,2,3,0,2,0,1,3,1,1,2,2,0,2,0,2,3,2,0,2,2,2,0,0,2,0,4,2,0,0,1,1,0,0,1,2,2,1,0,1,2,2,2,2,5,1,0,1,1,1,1,0,2,0,0,1,2,1,1,4,0,0,1,2,3,1,4,2,3,1,2,1,1,2,0,1,0,4,2,2,2,0,0,3,2,2,1,3,2,0,0,1,1,0,1,1,3,2,1,4,0,0,2,0,2,2,3,1,2,0,0,4,2,2,4,0,3,0,0,2,3,2,1,0,0,1,1,1,1,2,1,0,0,0,1,2,1,0,0,1,2,2,2,2,0,0,0,1,2,0,1,1,2,2,3,1,3,1,0,1,4,3,0,2,0,1,1,0,1,1,0,4,3,1,0,3,0,1,0,0,2,2,1,4,2,4,0,2,2,1,2,0,1,1,1,0,2,2,1,2,1,2,1,1,1,1,2,1,3,3,1,3,3,1,4,4,1,2,3,2,3,1,4,0,2,0,0,1,4,2,1,2,1,1,0,1,0,2,1,2,0,4,4,1,2
1,1,0,0,1,0,3,1,1,2,0,2,1,0,1,4,0,0,1,2,0,1,1,2,2,4,3,2,2,3,1,2,3,1,1,1,2,0,2,0,0,1,0,2,0,3,0,1,1,2,2,1,0,0,1,1,2,1,1,4,1,0,0,2,1,0,4,0,1,1,3,3,3,0,1,3,2,2,2,1,1,1,1,1,1,3,1,2,2,0,1,2,1,2,0,0,1,2,2,0,0,1,0,3,1,3,1,0,2,2,0,1,0,2,0,1,1,1,1,1,0,3,1,0,0,1,0,3,1,0,0,1,0,1,2,0,3,4,2,2,1,3,0,3,2,3,2,1,0,1,2,0,1,1,2,0,2,1,1,0,4,1,3,2,1,2,1,1,1,4,1,2,0,1,4,5,1,1,0,2,1,0,0,2,1,6,0,1,1,2,1,3,0,2,2,2,2,2,1,2,3,4,0,1,0,3,2,3,3,0,1,1,2,1,2,1,2,2,3,1,0,0,0,3,2,0,1,4,1,0,3,1,1,3,3,1,3,1,3,0,1,1,0,3,8,1,0,0,3,4,3,0,1,1,1,0
1,1,1,1,1,0,0,0,0,4,1,2,1,0,5,1,1,2,2,4,0,0,1,2,2,2,1,0,2,5,2,2,2,1,1,1,0,2,2,0,1,1,1,0,3,1,5,0,1,3,0,2,1,1,0,1,1,0,1,2,2,0,2,0,2,2,3,1,0,1,1,2,0,0,2,2,1,3,2,3,2,2,2,0,0,1,0,0,1,1,2,0,1,0,1,1,5,1,1,1,3,1,0,3,2,0,2,3,0,1,2,1,0,0,2,0,2,2,2,0,1,1,2,1,3,3,2,2,0,1,3,1,6,3,3,1,0,1,0,0,0,2,4,1,2,0,1,2,5,1,2,1,2,0,1,1,0,3,2,1,2,1,3,0,2,3,1,1,1,1,1,1,2,2,5,2,3,3,1,2,2,1,1,0,0,2,2,0,2,2,1,0,0,1,0,1,3,0,0,3,0,3,0,2,2,1,2,2,1,3,0,7,0,1,3,2,1,4,2,1,1,2,2,2,2,3,1,0,1,2,1,0,3,1,0,1,0,2,0,0,0,0,3,4,1,1,0,1,2,0,4,1,4,1,0,0
0,0,0,1,0,2,2,3,1,0,1,3,1,1,1,2,3,3,1,1,1,1,0,3,3,0,1,3,2,1,0,1,1,1,0,0,0,0,2,0,2,2,1,1,4,0,1,1,0,1,2,0,1,3,1,2,0,1,1,3,3,3,2,2,3,2,1,1,3,1,2,3,2,3,1,0,1,0,0,0,0,1,2,2,2,1,4,0,0,3,5,2,2,3,2,1,1,3,0,3,1,1,4,0,0,1,4,0,0,0,3,1,0,1,0,1,2,1,1,0,1,1,1,0,1,4,1,3,3,5,1,1,3,2,2,2,3,2,1,2,1,1,0,2,3,2,3,1,1,1,0,2,0,1,1,2,0,2,1,2,2,0,2,0,4,3,4,1,1,1,0,2,0,0,2,2,0,0,1,2,0,4,2,1,2,0,1,2,2,1,0,1,0,2,1,1,2,3,1,3,0,2,1,0,1,2,1,2,2,1,1,4,1,1,2,1,2,2,1,2,0,3,2,2,1,3,0,5,0,3,1,1,1,2,2,1,3,0,1,0,0,3,1,1,1,1,2,2,1,0,2,1,1,0,1,0
3,0,1,3,0,1,2,1,1,0,1,2,0,1,0,1,1,4,0,2,1,0,1,3,3,2,1,0,2,2,1,3,0,1,0,1,2,0,2,5,2,4,0,2,2,2,0,2,0,0,1,6,1,0,1,0,1,2,5,1,1,3,1,2,4,3,3,3,1,0,1,1,0,0,1,1,1,0,1,1,2,0,0,0,1,0,2,3,2,0,1,1,1,1,2,1,2,4,2,2,1,1,1,4,1,1,0,2,0,1,0,2,0,2,3,2,1,1,0,0,0,0,1,3,1,1,2,2,2,1,2,0,2,1,0,2,2,0,1,3,1,1,1,4,0,2,1,3,0,1,1,2,0,1,1,1,1,2,2,0,1,3,1,1,0,1,1,1,2,2,1,1,1,0,3,2,1,1,3,0,2,3,0,3,0,1,1,2,2,0,3,0,3,1,1,2,1,0,2,2,1,3,3,2,1,2,4,2,0,3,1,3,1,1,1,4,0,2,5,1,2,0,1,0,2,2,2,2,3,4,1,0,0,1,0,1,4,1,1,3,2,1,1,0,3,1,0,2,1,2,1,1,1,2,0,1
2,1,0,1,1,2,1,0,0,2,3,1,4,0,0,2,3,0,1,1,2,1,2,3,0,4,1,1,1,1,3,3,2,0,0,0,0,2,3,2,2,1,1,2,1,2,4,1,1,1,3,2,1,2,1,1,0,1,1,3,1,2,1,2,3,1,2,4,0,1,3,3,1,0,2,0,1,1,1,1,2,0,0,1,0,3,1,0,3,0,1,2,0,0,1,4,0,0,2,1,1,1,3,0,0,0,2,1,1,0,0,2,3,2,1,0,1,0,0,2,1,1,1,1,1,3,0,2,2,2,1,3,1,2,1,3,0,0,3,1,1,1,0,1,0,3,1,0,3,1,4,0,5,1,1,1,2,1,1,1,1,1,0,2,2,0,1,0,4,0,1,1,0,0,2,0,0,1,0,0,1,3,3,1,1,1,0,0,2,0,1,1,3,2,1,2,2,0,0,1,2,1,0,1,0,2,0,0,2,1,2,1,2,1,3,1,2,1,1,1,0,1,0,1,1,2,4,0,2,0,1,1,1,4,2,0,1,2,1,2,1,1,3,0,4,0,1,0,2,1,0,1,0,3,4,2
1,0,3,0,2,2,1,1,0,0,0,2,1,2,2,1,0,0,1,2,0,0,1,2,2,1,0,2,0,3,0,2,2,2,2,2,2,0,2,1,2,2,2,2,2,0,3,0,1,1,1,0,3,2,1,2,1,2,2,3,1,2,2,2,2,1,0,0,4,1,0,2,2,1,2,2,0,3,3,2,3,2,2,1,2,1,4,1,0,2,0,2,3,1,2,0,0,1,2,4,2,1,1,2,1,3,1,1,2,1,2,4,0,2,1,3,1,0,2,1,2,0,3,1,0,0,1,0,0,2,2,1,0,0,2,2,0,1,1,1,1,3,0,1,2,0,3,1,2,3,0,1,1,2,3,2,2,0,4,4,2,0,1,3,0,2,3,1,0,3,1,1,1,1,1,1,1,2,3,0,2,1,1,1,0,1,1,1,2,3,0,1,0,3,1,4,4,1,0,2,1,3,2,3,2,4,0,1,4,0,3,1,1,3,2,3,0,1,1,1,0,1,4,1,2,2,6,2,2,0,1,4,4,0,1,0,1,0,4,1,1,2,2,0,0,0,0,0,0,1,3,1,1,1,2,1
3,1,2,3,2,2,1,2,1,1,2,3,0,0,2,1,1,0,2,2,1,0,3,2,0,2,2,1,3,3,2,3,1,4,1,4,0,1,0,0,2,1,0,0,0,1,0,1,2,0,1,2,1,0,2,0,1,1,0,2,0,2,1,1,2,0,1,1,1,2,2,1,0,2,2,2,3,0,1,2,3,1,0,0,1,1,0,3,2,0,0,1,1,0,1,2,2,1,0,3,1,0,1,1,1,2,2,1,0,0,1,1,0,0,2,0,1,0,1,0,4,1,2,0,0,0,3,0,1,0,2,1,0,1,4,3,1,0,3,2,1,2,1,0,2,0,1,0,1,0,1,0,2,3,3,4,2,0,0,0,4,0,3,1,2,1,3,0,2,4,3,1,0,0,0,1,1,0,4,2,2,0,1,0,1,2,1,0,1,1,5,2,1,2,0,0,1,1,1,1,2,1,0,0,2,2,2,1,2,4,0,0,0,2,1,0,0,0,2,3,2,1,3,2,1,0,2,0,1,0,3,1,1,1,3,3,0,0,0,3,2,4,1,1,1,1,0,1,3,2,0,1,2,0,0,2
4,1,1,1,0,2,2,0,1,0,2,1,2,1,2,3,0,0,0,1,1,2,4,2,2,2,2,1,3,1,0,3,2,5,2,3,2,1,2,0,1,1,3,0,0,0,4,0,1,1,0,3,5,0,0,3,1,1,0,1,1,1,1,0,0,1,1,2,0,0,1,2,0,1,0,3,1,0,1,2,0,3,0,4,2,2,1,1,3,3,2,2,3,2,1,2,0,2,1,2,0,1,1,6,2,0,0,0,2,1,0,3,2,2,0,1,0,0,1,3,1,1,3,0,2,1,2,1,2,0,0,1,1,1,0,1,0,2,0,0,3,0,1,1,2,1,2,0,1,0,2,0,1,4,3,2,1,2,0,2,1,0,0,2,1,1,1,1,0,1,3,2,1,1,1,3,2,4,0,0,5,1,1,2,1,4,3,2,2,1,3,1,1,5,1,0,2,2,3,2,3,1,2,2,1,1,1,1,1,2,2,1,1,2,1,2,1,0,2,0,0,1,2,0,3,0,3,1,3,1,2,1,1,2,1,2,1,1,1,2,3,1,4,2,3,2,2,1,1,0,0,2,3,3,2,3
1,0,0,4,0,1,0,2,2,1,3,1,1,2,2,0,1,0,1,1,2,2,3,1,2,4,1,3,0,0,3,0,2,0,1,1,2,1,1,1,0,1,2,3,0,1,0,0,1,1,1,1,2,1,0,4,1,3,3,0,1,0,0,3,1,1,2,0,0,1,1,3,3,2,3,2,2,1,1,4,1,1,2,2,4,1,1,0,3,2,1,2,3,2,1,1,0,1,3,2,1,0,0,1,2,2,3,0,2,2,2,2,1,0,3,2,2,2,3,1,3,1,1,1,3,2,1,2,3,1,2,1,2,0,0,0,1,0,0,0,1,2,3,1,6,2,5,4,0,2,1,0,1,2,1,2,2,3,3,4,2,1,4,1,3,1,3,1,4,0,1,0,1,0,1,3,2,1,1,0,1,0,3,1,1,3,1,1,0,0,2,2,2,1,0,0,2,4,1,1,0,4,1,0,1,1,0,1,1,4,2,2,2,0,1,3,1,1,1,3,0,3,3,4,3,4,2,4,1,1,1,1,1,2,1,2,2,0,2,4,0,4,0,0,0,0,4,1,1,2,3,2,3,2,2,2
3,2,0,1,2,0,2,2,0,1,2,1,1,3,0,1,2,2,0,2,1,0,1,2,0,1,1,2,1,1,1,2,0,2,1,0,0,2,2,2,0,1,3,4,1,1,0,1,1,2,0,1,1,2,2,1,3,0,2,1,3,4,1,2,3,0,0,1,1,0,2,2,0,1,2,1,0,0,1,1,0,4,0,0,3,0,3,1,4,2,3,0,0,1,1,1,2,3,1,2,2,2,0,0,1,3,1,1,2,0,0,3,1,1,0,0,2,0,2,1,2,1,0,1,4,2,0,1,0,1,3,1,1,1,1,3,1,1,1,3,1,1,2,1,1,3,2,1,2,1,1,0,1,2,0,1,0,0,0,2,2,0,1,1,3,1,1,1,0,0,2,2,1,3,1,0,3,3,2,1,3,0,1,2,2,2,2,1,1,0,3,0,1,2,0,2,1,1,1,2,2,1,2,2,0,1,1,0,1,1,0,0,4,4,1,1,1,1,1,0,1,0,1,0,3,2,2,1,2,2,0,3,0,0,0,0,0,0,3,2,1,0,1,1,0,1,1,2,1,1,2,2,4,0,2,4
1,1,1,2,2,1,1,1,5,0,3,0,2,2,2,2,3,0,2,2,2,1,0,0,2,1,1,2,0,1,0,1,3,1,0,2,1,2,1,4,2,1,1,0,1,1,1,1,2,2,2,2,0,1,0,1,3,1,0,0,1,0,1,3,3,1,2,1,3,2,4,2,1,4,1,1,3,1,0,0,3,0,2,1,0,2,1,3,1,1,1,0,2,2,6,0,3,1,0,1,3,1,1,0,0,0,2,1,1,0,1,1,0,2,3,1,0,1,0,2,1,5,5,3,1,0,1,0,2,1,1,1,1,3,1,3,1,2,2,0,2,0,1,0,0,1,2,1,3,2,2,0,1,1,2,1,1,0,4,2,3,3,2,0,1,1,3,2,0,2,1,4,3,0,1,2,0,2,3,0,0,3,1,3,3,2,0,0,4,1,2,1,4,4,1,0,3,0,0,3,2,2,1,2,2,1,1,2,4,0,2,2,0,2,1,2,1,1,0,1,1,1,2,3,0,1,0,2,1,0,4,1,1,2,1,2,1,2,0,0,0,0,1,2,1,3,2,0,5,2,1,0,5,0,1,1
2,3,3,0,2,1,1,3,2,3,1,0,0,1,2,3,1,1,2,1,2,2,0,2,1,1,0,1,0,1,2,1,2,1,4,3,2,2,0,0,0,0,4,0,1,2,2,3,0,1,2,4,2,0,2,0,1,1,1,2,1,0,2,3,1,4,1,0,1,2,2,3,0,2,1,4,3,1,1,1,1,2,5,1,1,1,4,0,0,1,1,0,1,1,4,1,0,2,2,2,2,1,1,1,2,1,1,1,2,1,1,0,3,2,2,0,1,1,4,2,2,0,2,2,2,0,2,1,2,0,1,1,2,0,0,1,0,2,0,3,2,1,0,2,1,1,0,2,1,4,3,1,3,0,0,1,2,0,1,2,2,3,2,0,4,1,0,1,1,0,1,2,3,0,0,0,3,4,3,1,1,0,3,3,1,2,4,0,2,1,0,0,2,2,1,5,1,0,2,3,2,1,2,2,1,2,0,0,3,3,5,1,0,3,3,3,2,2,2,2,3,2,0,1,0,0,2,1,1,1,1,2,2,2,0,0,1,2,2,3,2,1,1,0,2,1,6,3,0,1,0,1,4,0,2,1
2,1,1,2,2,0,2,2,0,4,2,0,3,1,1,1,2,1,0,1,1,2,0,0,1,3,1,2,1,1,5,2,4,0,2,1,2,2,1,1,3,1,0,1,2,3,2,1,1,2,0,0,4,1,1,0,0,1,0,1,0,0,1,3,3,3,5,3,3,1,0,1,1,1,0,0,1,0,1,1,1,3,2,2,1,1,3,1,1,3,4,1,3,0,1,3,1,3,3,1,2,0,1,2,1,1,2,3,0,0,3,3,1,0,1,0,0,0,0,3,3,1,1,2,0,0,1,1,2,5,5,2,1,2,1,1,3,0,3,1,2,1,2,3,1,2,2,1,1,1,1,1,1,2,2,2,0,1,1,1,2,0,1,4,1,4,2,2,1,0,3,1,1,2,2,1,4,1,2,3,1,2,3,0,1,5,2,1,1,3,1,0,0,1,2,3,3,2,1,0,4,5,1,2,1,1,3,1,1,1,2,3,1,1,1,3,0,1,3,2,1,0,1,3,0,0,3,0,5,3,0,3,0,5,1,1,0,0,0,1,2,1,0,2,2,2,1,2,1,0,0,2,0,4,1,4
0,1,1,2,1,1,0,1,2,1,0,2,2,1,1,0,0,4,1,3,0,2,2,1,2,1,1,1,0,0,2,1,1,0,1,2,0,1,3,3,3,1,0,2,1,2,2,2,1,1,0,1,4,1,2,3,1,1,1,2,0,2,3,2,1,2,2,0,2,2,3,3,3,2,5,1,0,0,1,1,4,2,2,1,3,1,1,1,3,1,1,0,2,2,3,1,2,3,1,4,1,0,1,1,2,2,4,0,2,0,2,0,3,2,2,0,0,1,0,3,2,1,1,0,0,2,0,0,3,1,1,2,5,1,3,2,1,2,4,0,6,3,0,0,2,2,0,2,2,0,0,3,0,4,1,1,0,3,0,0,1,0,2,1,2,2,4,0,4,2,1,3,0,2,1,1,3,6,4,2,2,4,1,4,4,3,2,2,1,0,0,2,4,1,1,2,2,1,1,2,2,0,1,2,1,1,1,3,2,2,2,2,3,5,2,0,0,3,1,3,1,2,2,0,2,2,2,2,3,4,3,0,2,5,4,1,3,0,4,1,0,1,1,0,3,4,2,1,3,0,3,1,1,0,0,0
1,2,1,2,2,1,2,0,5,0,1,4,2,0,1,0,4,3,1,0,3,1,2,3,3,1,0,2,2,1,3,3,1,3,0,2,4,3,3,1,0,2,2,1,3,0,1,0,1,0,1,1,2,5,0,2,1,2,3,0,2,1,0,1,0,2,2,3,3,1,1,1,3,2,1,2,1,4,0,0,1,1,0,0,2,1,2,3,3,2,1,0,0,3,1,2,0,1,4,3,2,1,2,0,2,0,1,3,0,1,0,2,0,2,0,2,1,1,2,1,1,3,1,2,1,3,2,0,1,3,0,3,1,0,1,4,3,0,1,2,4,2,1,1,2,0,0,0,4,3,1,1,1,1,3,2,1,1,3,2,4,3,1,0,2,1,2,4,1,0,1,2,3,1,3,2,1,1,2,3,2,1,1,1,1,4,0,2,0,1,2,1,3,1,1,1,1,0,2,1,0,0,2,2,0,2,1,3,2,1,0,2,0,0,1,2,1,3,2,2,0,2,0,3,1,1,3,3,2,0,0,1,0,1,2,1,0,2,0,3,2,0,1,1,0,2,1,5,1,4,0,2,1,0,1,2
1,2,1,3,0,1,1,1,1,0,2,2,1,1,2,2,2,1,0,3,1,0,3,0,2,4,1,0,3,0,2,1,1,4,1,2,3,1,3,2,2,1,0,0,2,0,0,2,1,2,2,3,2,0,2,0,0,0,2,2,2,2,2,0,1,2,2,2,1,1,5,1,1,2,1,1,1,0,1,1,2,3,0,4,0,0,0,0,2,1,0,1,0,2,3,0,1,1,1,2,3,4,0,1,1,1,1,1,1,1,0,1,0,3,1,1,2,1,1,3,1,1,1,0,0,1,5,1,1,0,4,1,1,1,2,3,1,2,5,0,3,2,0,0,2,4,1,0,2,1,0,2,0,0,1,2,0,0,1,1,4,2,0,1,0,4,4,2,4,1,0,0,2,0,0,2,2,0,2,1,3,2,1,2,1,1,2,1,0,2,2,5,0,1,3,1,0,0,1,0,0,2,1,1,0,2,1,1,0,0,0,3,2,3,2,3,1,1,2,1,3,0,0,2,1,0,0,1,1,0,0,4,3,2,2,2,6,3,2,1,0,0,0,1,3,1,1,0,1,2,2,0,0,0,2,2
1,1,2,1,1,1,2,0,3,1,4,0,3,0,0,2,1,2,1,1,1,1,1,3,1,1,1,1,0,1,3,1,2,2,1,2,3,3,3,4,3,4,2,2,1,0,5,1,2,3,0,1,0,2,1,3,0,2,3,2,2,1,1,2,1,2,6,1,4,0,2,2,3,3,1,2,0,1,0,0,1,1,3,1,2,3,1,1,1,1,3,3,0,0,1,2,1,1,0,3,2,1,2,2,1,1,2,3,1,1,1,0,0,2,0,2,1,0,1,2,3,2,2,2,1,2,2,0,2,0,2,1,2,1,2,1,2,2,3,1,2,0,3,0,0,1,2,1,0,3,1,1,2,2,1,1,1,0,1,4,2,1,1,1,2,1,0,2,0,0,1,2,1,2,0,1,4,0,1,1,0,1,3,2,0,2,2,5,0,1,0,1,1,1,0,1,1,2,2,2,3,2,3,3,0,2,0,4,3,3,2,2,3,1,0,0,1,0,3,1,2,2,1,0,0,4,1,3,0,2,0,0,1,2,1,2,2,2,0,0,1,1,1,0,1,2,3,1,0,2,3,1,2,0,0,4
1,1,1,1,3,3,4,2,1,0,1,4,3,2,0,2,2,1,4,2,2,1,1,0,0,3,2,4,0,2,1,1,1,1,0,1,1,2,4,2,1,0,0,1,1,1,0,1,3,0,1,3,1,0,3,2,1,1,0,1,1,2,1,0,1,1,1,1,1,0,0,3,0,1,0,1,2,1,2,0,0,1,0,0,1,3,3,3,1,1,1,0,0,2,1,3,3,1,1,2,1,0,0,2,0,4,2,1,3,3,2,2,1,0,3,0,5,1,2,2,1,2,3,0,0,2,2,1,0,1,3,0,0,1,0,2,1,3,2,1,0,0,4,1,1,2,2,1,2,2,3,1,1,1,2,0,3,4,2,1,0,2,1,1,2,2,0,2,2,0,1,1,1,2,0,0,1,2,4,0,2,2,2,3,2,3,1,4,3,2,1,2,1,1,1,1,3,3,0,0,0,0,4,1,1,2,0,2,0,2,1,0,0,0,2,2,0,2,1,3,1,2,2,0,4,1,1,1,1,0,0,0,4,2,1,2,2,1,1,2,1,0,3,1,3,1,3,1,1,2,1,0,1,0,1,0
1,1,1,0,2,2,1,1,2,1,0,2,1,1,1,4,0,3,2,2,3,1,2,2,1,2,1,1,1,2,2,0,0,0,2,0,3,0,1,2,3,0,1,0,2,0,2,1,2,0,2,2,2,2,0,1,0,0,0,2,2,0,3,2,2,0,0,2,2,0,4,1,3,3,1,2,1,3,1,1,0,1,0,4,0,1,2,2,0,0,0,3,1,2,0,3,2,3,1,2,3,0,0,0,1,1,3,1,2,0,2,2,2,2,2,1,1,0,1,3,1,2,2,4,0,2,0,0,2,0,1,0,2,2,3,1,1,1,1,2,2,4,1,1,0,0,2,5,3,1,4,1,1,1,1,2,2,2,3,0,4,4,1,0,1,3,3,2,3,0,0,1,2,1,3,2,0,1,1,1,0,1,0,0,2,2,2,1,0,1,1,0,0,1,2,3,1,1,0,4,1,1,1,1,1,2,2,2,3,1,0,1,2,0,1,2,1,1,2,2,1,2,1,1,2,3,2,0,3,0,2,0,1,1,0,3,0,3,3,0,1,2,4,3,2,0,4,0,2,0,1,1,1,1,1,2
1,0,3,2,0,3,1,1,4,1,1,1,1,3,0,1,2,0,2,0,0,0,0,0,0,2,1,2,3,2,2,4,2,2,3,0,3,0,2,0,1,1,0,1,1,1,0,1,1,2,2,0,1,1,2,2,1,3,1,1,1,1,2,1,3,2,2,2,4,1,0,4,0,1,0,0,3,1,1,0,1,2,0,1,1,1,1,0,2,1,0,0,3,1,2,3,2,2,2,1,0,0,0,0,1,1,6,2,1,1,1,0,0,3,2,4,1,1,0,1,2,0,1,0,1,1,1,1,2,1,0,1,0,2,1,3,1,0,3,2,2,1,1,1,0,2,2,3,3,1,1,4,2,0,0,1,2,1,1,2,3,2,2,1,3,1,2,4,2,1,2,2,0,2,2,2,1,0,1,0,0,1,1,0,0,1,0,1,0,0,3,2,1,4,0,1,2,1,0,4,2,1,1,0,1,3,2,4,1,4,1,0,0,2,4,4,0,1,2,1,3,0,2,0,1,1,1,0,0,3,1,1,1,1,1,1,1,2,4,1,1,1,4,2,2,2,1,1,0,0,0,1,0,1,1,1
6,1,3,2,0,1,2,2,0,2,1,0,1,3,0,0,1,2,0,2,1,2,3,1,3,0,3,2,0,1,2,0,1,1,2,3,0,0,0,2,2,1,2,2,2,0,3,2,2,4,1,2,2,1,0,0,0,1,0,0,2,2,4,1,2,4,2,1,0,1,0,1,3,1,2,1,2,0,1,1,0,4,0,0,2,1,4,2,3,0,1,1,1,0,3,2,1,2,2,2,3,1,0,1,0,1,3,1,2,1,2,0,0,3,3,2,1,0,1,1,0,0,3,1,4,1,0,2,3,2,0,2,1,1,1,1,0,2,1,0,0,1,1,3,1,1,1,2,0,2,0,0,0,1,3,4,0,0,2,2,3,0,2,4,1,2,0,3,3,3,1,3,0,1,3,1,1,0,2,3,0,1,3,3,3,2,2,2,2,2,1,2,0,1,1,1,3,3,2,3,0,0,4,5,1,3,1,0,4,1,2,0,0,3,3,2,0,0,1,5,2,4,0,1,2,1,2,0,0,2,4,1,1,2,0,1,0,1,1,2,4,0,1,0,0,0,3,1,0,5,4,0,1,2,1,0
0,0,2,2,6,1,2,1,1,3,0,4,1,0,1,3,3,0,1,2,1,0,1,1,1,3,2,1,0,0,1,2,1,0,2,2,1,1,2,1,2,1,1,1,0,0,1,2,2,2,1,1,1,0,0,0,0,5,1,3,3,5,5,2,1,2,0,1,2,0,4,3,2,1,0,1,1,2,4,0,3,1,0,1,3,1,1,2,1,4,1,1,1,1,0,2,1,1,2,0,4,0,3,3,2,0,0,1,0,2,0,3,2,1,1,2,2,0,1,1,4,4,2,1,2,0,1,1,0,3,1,4,2,1,2,1,0,0,3,0,3,0,0,0,1,2,0,2,2,0,2,4,0,2,2,2,1,3,1,2,1,1,1,0,2,2,3,1,3,0,0,2,1,1,1,1,5,1,1,4,0,1,1,0,3,0,4,0,1,1,0,2,2,0,0,1,0,1,0,1,4,1,1,3,2,2,2,1,2,0,4,6,1,1,0,0,1,1,4,0,0,2,2,3,2,1,3,2,2,1,2,1,1,0,1,2,0,1,2,1,2,1,1,1,3,1,1,1,3,0,0,2,0,0,4,0
3,1,1,1,0,3,2,2,1,4,0,1,3,3,4,3,2,1,0,2,4,3,1,0,6,4,4,1,0,2,5,2,2,1,2,0,0,2,1,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,3,1,1,0,1,1,3,0,2,2,3,2,1,0,0,0,3,1,0,0,2,1,0,1,0,1,1,0,4,1,2,1,2,2,2,0,0,2,1,0,1,1,2,1,2,2,0,0,0,2,1,0,2,2,1,0,1,1,5,2,2,2,2,2,2,0,0,1,1,1,1,1,2,1,3,0,3,0,4,3,0,1,2,1,1,3,1,2,1,1,0,1,1,2,2,0,1,3,3,0,0,0,1,6,1,2,2,1,1,4,0,2,1,1,3,3,2,2,0,0,2,0,2,1,0,0,1,2,1,2,1,1,4,1,0,0,0,0,1,1,0,2,5,0,6,1,2,0,4,3,2,1,0,0,0,2,3,2,3,1,2,2,3,1,0,1,1,2,2,2,1,0,2,2,3,1,2,0,2,2,2,1,2,1,0,1,0,1,4,1,2,4,0,1,4,2,0,4,0,1,4
2,1,4,0,2,3,2,0,1,4,1,1,2,1,1,2,0,3,0,1,2,3,0,3,2,1,0,1,0,0,2,0,3,1,1,1,1,2,2,2,3,2,0,0,1,1,1,0,1,0,1,0,2,1,1,1,3,2,2,0,1,2,1,3,2,0,1,2,3,2,3,0,1,0,4,2,2,1,0,1,1,0,1,1,3,0,2,1,0,1,0,0,1,0,2,0,2,1,1,1,1,0,2,2,2,0,0,0,2,1,1,0,1,1,5,5,0,0,1,1,1,1,3,3,2,1,2,0,1,1,1,3,0,1,4,2,0,1,3,0,0,1,2,2,2,0,0,1,2,0,2,3,1,3,3,1,2,4,1,0,2,5,4,0,0,0,3,1,3,1,2,3,0,2,0,1,1,1,2,3,1,0,1,4,3,0,0,2,0,1,1,1,1,1,1,0,2,0,0,1,1,2,0,0,2,1,0,3,0,1,3,1,4,2,4,1,1,1,2,1,0,3,1,1,0,1,2,1,0,2,0,4,1,1,0,1,0,4,0,2,2,1,1,2,2,0,4,1,1,1,1,2,0,1,4,3
2,2,0,2,4,2,3,3,1,2,2,1,1,1,2,2,0,0,1,1,0,1,1,1,2,2,1,0,1,0,3,0,1,0,2,2,0,0,1,2,2,4,0,3,1,1,3,2,0,2,1,1,1,1,2,0,1,2,2,2,0,2,1,1,2,1,0,3,1,1,2,1,1,1,3,0,2,0,2,2,0,3,0,3,1,2,1,1,0,0,3,3,2,2,2,2,2,1,2,3,2,1,3,2,0,2,1,1,1,2,0,2,3,2,1,2,1,2,1,2,1,0,2,2,0,1,4,0,0,1,2,2,3,0,3,1,0,1,2,3,1,2,2,0,3,1,1,1,4,1,0,0,3,3,0,1,0,0,4,4,3,4,1,3,2,6,5,0,1,0,0,1,1,3,0,2,2,4,4,1,2,0,2,1,3,3,2,0,3,1,0,2,2,1,2,1,2,2,0,0,0,4,2,0,0,0,2,4,0,1,2,2,1,3,0,0,1,1,1,1,0,2,0,1,1,1,1,2,3,2,4,2,1,0,0,3,1,0,1,1,1,2,0,2,2,2,1,2,1,0,1,2,0,2,1,1
1,0,3,1,1,1,2,1,0,2,2,4,0,0,1,0,2,2,3,0,0,1,1,2,4,0,1,2,1,0,1,1,1,1,0,3,0,2,0,0,2,2,2,2,1,2,1,2,2,0,1,1,2,0,1,0,2,0,0,4,1,0,2,0,1,3,2,2,0,0,2,0,1,4,0,1,1,1,1,2,0,1,3,0,0,1,2,1,2,1,2,2,0,2,0,1,2,1,2,1,2,1,3,0,2,3,2,0,2,1,2,2,1,1,1,4,4,3,5,2,2,2,0,2,0,1,2,3,0,2,2,1,0,3,0,1,2,2,0,1,1,1,2,1,1,0,1,1,0,1,1,0,0,2,1,1,0,2,2,1,0,2,3,0,2,3,1,1,1,0,2,2,1,1,0,2,3,2,2,1,1,0,2,3,1,0,2,2,2,0,1,0,0,2,2,0,1,2,1,1,1,3,2,0,4,1,2,1,1,1,1,0,0,0,1,2,1,3,2,0,1,1,1,1,2,1,1,0,2,1,1,1,0,3,3,0,3,2,1,1,1,0,1,2,1,2,2,1,2,0,1,0,0,1,0,1
3,0,1,5,1,3,0,1,1,2,1,1,1,0,1,1,2,1,3,1,1,0,2,0,1,3,1,1,0,1,1,1,3,3,2,1,0,0,1,2,1,3,0,2,0,4,1,3,2,2,2,1,3,0,0,2,4,2,0,2,1,3,0,0,4,3,1,0,0,1,1,2,1,0,0,3,2,3,5,2,1,0,2,0,1,1,1,0,1,2,4,0,3,0,1,1,1,5,1,1,0,1,1,1,0,1,1,3,2,1,4,1,3,2,1,3,0,0,1,0,1,1,1,3,0,1,0,4,0,0,2,0,0,1,1,0,2,0,2,2,3,0,1,1,0,1,1,0,2,1,5,1,0,2,2,3,2,0,1,0,2,2,1,2,1,0,1,2,2,3,4,1,2,0,0,0,3,2,3,3,3,4,0,0,2,2,1,0,1,0,2,1,1,0,2,3,2,2,0,2,1,1,2,0,1,1,1,3,3,1,1,5,1,1,1,0,0,1,0,1,1,1,2,2,1,3,1,2,2,0,0,2,0,0,3,0,1,2,1,0,0,1,0,0,1,3,1,3,1,2,1,2,0,2,3,3
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$$SM_FREEZE 100
$$SM_DETECT 1
$$SM_GAIN 0

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