Hello dear, I’m currently facing a difficulty achieving my assignment requirements. I was hoping you could help

Hello dear, I’m currently facing a difficulty achieving my assignment requirements. I was hoping you could help me out.The assignment as follows:1) 500 Words2) Charts shall be provided – Prob and stats document (Attached) – Excel Statistics analysis (Attached) Appreciate your support 🙂


#GEA 1: Writing Assignment 1
Part 1.2 – Military Style Memorandum
DUE: January 24
This assignment can be completed after completing chapter 1 of your textbook, and reading the documents provided for you
in “Writing Assignment 1.1 Reading”assignment. The problem you will solve involves using soldier fatality data to determine an
intervention strategy.
Problem description.
The United States military has been involved as a peace-keeping force in a humanitarian effort to prevent further genocide in the
country of Pelagir. Many soldiers have died in this effort. The government has recently approved the use of emergency funds to
improve the situation, but it is probable that only one initiative can be funded. The officer in charge of the theater of operations has
asked you, a military engineer, to evaluate the situation and recommend a course of action to reduce the number of fatalities and
enable the peace-keeping force to remain in place. Analyze the provided data regarding soldier fatalities in a one-month period and
make a recommendation regarding what the government and military should do.
Document: Complete this assignment as an Official Memorandum using the formatting rules in The Tongue and Quill Links to an
external site.. (https://static.e-publishing.af.mil/production/1/saf_cio_a6/publication/afh33-337/afh33-337.pdf) Write your
recommendation in the most compelling manner possible. Check page 177-189 for the paper example




Make sure that you have a statistical analysis Links to an external site.to support your recommendation.
Write about your findings in a way that makes them meaningful to your audience Links to an external site.and relevant to your
recommendation. Do not explain how calculations were completed, rather explain why your approach is valid, what
understanding it provides in this specific situation and the result it provides. Use language that non-statisticians can understand.
Use tables and/or graphs, in a way that communicates ideas effectively.
Include your calculations as an addendum to the document.
Audience: Any time you prepare a professional document, you should consider the audience Links to an external site.that you are
writing the document for. You should tailor the content, language, tone, and structure of the document to the audience you are
addressing. This document is being prepared for senior-level government and military members. Ask yourself what they can be
reasonably expected to know about this topic, and what they need to know to make an informed decision. Address the memorandum
to:



The United States Secretary of Defense (primary addressee)
The House of Representatives Defense Subcommittee
The United States Senate Defense Subcommittee
Tone: The Audience for this document requires that the styleLinks to an external site. is precise and professional.




Utilize plain language when describing your analysis, as you cannot assume all readers will be statistically literate. However,
there are also some who will understand statistics and will want to understand the statistical logic that you used to determine your
recommendation.
Start the document with a summary that readers can read to understand the essential elements of the document – the context of
the issue, what is being examined and how, and the recommendation you will make.
Develop the document around a direct, coherent message (thesis) Links to an external site.and clear evidence Links to an
external site.to support it.
Do not use contractions, slang or colloquialisms (Links to an external site.)Links to an external site., clichés (Links to an external
site.)Links to an external site., abbreviations, or text message shortcuts.
Data: Each number on the attached spreadsheet represents the cause of death of one soldier. The cause of death represented by
each number is identified on the table below.
Soldier Fatalities Data.xlsx (the file would be included in the attachment)
2
3
8
1
7
2
1
1
5
3
1
3
6
3
1
4
3
1
7
3
2
2
2
1
3
2
1
3
1
7
2
2
2
1
3
2
1
5
3
3
1
2
3
3
3
2
3
2
2
2
1
1
3
1
2
1
3
3
2
2
9
2
7
1
6
1
1
2
1
3
1
3
3
2
5
2
3
2
1
3
3
3
2
7
9
3
6
7
3
3
3
1
4
5
2
6
2
2
3
3
1
1
3
3
7
1
2
3
5
1
1
3
2
4
3
1
3
4
6
3
1
3
3
3
3
2
2
1
7
3
2
3
2
1
2
3
1
3
3
1
1
1
3
6
1
3
3
1
3
2
3
1
2
3
1
1
6
3
1
3
1
2
1
3
2
3
3
1
3
2
3
3
1
3
1
3
1
2
3
3
6
1
5
1
6
3
3
1
1
2
2
3
6
3
1
3
2
3
3
1
1
3
5
2
3
1
1
3
3
1
3
3
1
3
1
1
1
9
1
2
3
1
2
3
3
2
3
3
1
6
3
3
3
3
2
2
1
1
1
1
3
1
3
1
6
2
4
2
1
1
2
1
2
7
9
1
1
8
3
1
3
3
7
3
3
3
1
2
6
1
2
3
3
7
2
1
3
3
6
1
2
3
6
2
6
3
3
3
3
3
8
1
1
2
2
1
1
6
1
6
2
2
3
2
3
1
6
5
2
1
1
1
3
1
2
3
2
3
1
1
1
3
3
8
1
3
3
1
2
1
3
2
1
1
2
1
1
1
7
3
1
1
2
3
1
1
1
3
2
2
1
6
2
5
1
1
6
1
1
3
3
1
1
5
6
3
8
2
3
3
3
1
1
2
2
1
3
3
3
1
3
6
3
2
2
5
1
3
2
9
1
1
3
3
1
6
2
1
1
2
2
2
6
1
2
7
7
1
7
1
8
1
1
3
3
6
3
2
2
2
1
1
3
3
1
1
2
6
1
1
7
3
2
2
1
1
3
1
2
2
3
1
3
2
1
3
2
3
2
1
3
1
1
1
1
3
1
1
3
2
3
3
6
1
3
1
1
1
1
6
3
3
1
2
3
3
2
6
1
1
1
1
9
2
3
1
1
4
3
3
3
2
3
2
2
3
3
2
2
1
1
5
3
1
3
1
3
1
1
2
2
1
3
1
1
7
7
3
2
3
3
1
1
3
1
7
3
7
2
3
2
3
1
2
1
3
3
7
6
1
1
7
2
1
2
2
3
1
2
3
5
1
1
6
3
3
1
1
4
1
2
1
2
2
1
5
1
3
3
9
1
1
3
2
1
6
1
6
1
2
3
5
3
3
1
2
6
9
3
7
1
2
2
1
1
1
1
2
1
2
1
1
1
2
1
3
1
1
3
3
8
7
6
2
6
1
1
3
2
3
1
1
2
7
3
6
1
3
7
9
2
3
1
3
1
1
3
2
3
3
1
3
2
3
3
3
3
3
4
1
1
2
2
1
1
3
3
1
3
1
5
7
6
3
5
6
1
1
3
3
8
3
7
3
6
1
1
2
3
1
2
2
1
3
1
2
1
1
1
1
7
1
3
3
2
1
2
6
3
2
3
3
1
3
3
3
6
3
6
1
1
1
1
1
2
3
1
2
3
1
3
3
3
3
3
2
1
3
1
1
1
2
3
1
1
2
2
2
2
2
3
3
1
7
6
1
2
3
1
2
1
3
1
1
1
2
3
1
1
2
1
1
1
3
2
3
1
3
7
3
3
1
2
1
1
2
1
2
1
3
3
3
9
1
3
3
5
2
1
1
1
3
1
2
2
1
7
3
3
3
3
2
1
5
3
1
2
2
2
2
2
1
2
3
1
1
1
3
2
1
1
1
3
1
3
3
2
9
2
2
1
7
3
3
2
2
3
7
2
3
1
2
6
3
2
2
3
1
2
2
1
2
1
3
2
3
1
3
1
6
3
3
5
2
1
2
1
2
9
8
2
3
1
1
7
3
3
3
1
3
3
3
1
3
1
1
1
4
1
1
4
2
1
2
1
2
1
2
3
2
3
5
3
3
8
7
3
3
3
2
2
3
3
1
2
1
3
2
1
3
3
2
3
3
1
2
3
5
3
1
3
2
1
1
2
3
2
1
1
2
2
2
2
2
3
1
3
2
2
2
1
1
3
1
1
2
7
3
3
3
3
1
3
3
3
5
5
2
2
3
3
1
2
1
3
2
2
3
6
1
2
3
3
4
1
3
3
2
1
2
2
1
2
2
6
3
2
4
7
3
1
1
2
2
3
7
1
2
2
3
3
8
3
2
9
1
3
3
3
5
6
1
3
6
2
3
1
2
3
3
3
1
1
1
3
1
2
2
3
1
3
1
3
2
3
2
3
1
1
3
6
2
1
1
2
1
3
6
1
1
3
5
3
2
1
1
6
3
3
2
3
1
3
2
3
4
3
1
1
1
3
6
3
1
2
7
7
3
6
1
1
1
1
1
3
3
3
3
3
2
1
6
1
3
1
3
2
3
2
7
3
3
1
3
2
3
9
6
7
2
1
8
1
1
3
2
1
1
3
1
2
3
6
3
3
3
3
2
3
2
3
3
3
3
2
3
3
6
2
2
4
1
3
1
1
1
3
6
3
1
1
3
1
3
6
1
3
6
2
3
1
3
1
1
1
3
7
3
1
2
2
1
2
1
2
3
3
3
1
2
3
3
2
3
1
2
1
1
2
3
3
1
5
2
1
1
1
2
3
1
1
6
2
2
1
1
1
3
1
1
1
3
1
1
2
3
3
3
1
1
3
9
4
3
1
2
1
3
3
1
3
1
2
6
3
1
3
3
1
3
3
3
7
3
9
6
1
7
1
3
2
7
3
2
1
2
6
1
3
2
1
3
1
3
2
3
5
9
2
2
1
2
3
1
1
2
3
1
3
2
3
1
6
3
2
3
3
2
1
1
1
7
3
6
3
5
7
2
3
5
1
2
3
3
3
1
2
2
1
1
2
6
8
3
3
1
3
3
7
2
2
1
3
2
2
3
1
2
1
3
3
1
1
3
2
1
2
3
2
1
7
3
1
1
1
1
1
1
1
2
2
2
3
1
2
8
1
1
6
1
2
2
1
2
3
3
1
1
9
3
1
3
5
1
3
6
1
2
2
1
1
3
7
1
3
3
1
2
5
6
1
5
2
3
2
3
2
1
1
2
1
1
2
3
1
7
1
3
1
5
1
3
1
1
6
1
3
6
1
1
1
1
3
2
3
1
1
3
2
1
1
3
7
1
2
8
1
5
5
2
1
1
3
3
7
5
1
3
1
1
2
3
7
3
3
1
2
1
4
1
1
1
7
2
3
1
2
2
3
2
2
1
3
1
3
2
1
3
6
3
2
2
2
1
3
1
3
3
1
1
4
3
7
1
1
9
7
5
1
1
1
2
1
2
1
3
2
2
2
3
5
1
2
2
2
3
2
1
3
1
3
1
6
7
2
3
2
1
2
2
1
3
1
7
1
2
5
3
2
2
3
3
1
1
5
9
2
1
1
3
2
2
2
3
7
3
6
3
7
1
1
3
1
1
3
1
2
1
3
6
1
1
1
1
2
3
3
7
1
1
3
3
1
3
1
2
3
7
1
1
2
3
6
1
1
2
1
3
2
3
1
1
2
3
7
1
3
3
3
2
9
1
2
3
1
2
3
1
1
2
2
1
2
2
3
1
6
2
2
5
1
3
3
3
6
3
1
1
1
6
5
3
7
7
3
3
2
3
2
3
3
7
1
2
3
1
1
3
3
2
1
1
3
6
3
3
3
2
1
2
2
1
2
2
1
1
2
1
1
3
1
1
1
3
6
7
1
1
6
3
1
3
2
3
1
2
6
3
3
3
3
1
1
7
3
7
3
6
1
3
7
2
1
1
3
2
5
1
1
3
3
1
1
2
2
3
1
2
3
3
3
2
2
3
3
4
3
1
6
1
3
1
3
2
1
6
3
1
8
1
2
1
1
3
1
1
1
2
1
4
2
1
3
1
3
3
5
1
3
1
2
3
7
1
3
1
2
5
2
1
2
2
1
1
2
1
1
3
2
3
3
3
1
3
6
1
3
2
3
1
1
2
3
1
3
3
2
3
3
1
1
2
7
1
3
1
3
1
3
3
2
1
1
3
4
2
1
3
1
3
3
1
1
3
1
3
1
2
3
2
7
3
1
3
3
3
3
3
3
8
7
6
1
2
2
8
3
2
3
1
3
1
2
3
2
3
3
1
3
1
1
1
6
7
1
2
3
1
3
1
1
2
6
2
2
1
1
3
3
6
7
2
2
3
2
3
1
2
2
1
3
2
3
2
1
1
7
3
3
2
3
3
7
3
8
1
3
3
3
1
3
1
3
1
3
1
1
1
2
7
2
2
2
3
3
2
3
2
1
2
3
3
2
2
1
1
2
3
1
3
3
3
1
2
1
2
1
1
2
3
3
3
1
3
8
2
3
2
2
3
1
2
3
1
1
3
3
1
3
3
1
3
2
1
7
3
2
1
3
1
1
1
3
4
1
1
1
2
2
1
1
2
2
2
3
3
3
3
1
1
1
1
3
1
6
3
1
3
7
3
7
3
3
2
2
7
2
2
1
3
3
2
3
7
3
7
2
2
2
2
3
3
1
2
1
2
3
2
2
6
6
2
2
2
3
3
1
7
2
2
2
7
3
7
1
1
3
2
3
1
5
7
3
1
3
2
3
1
2
3
3
2
7
2
1
3
1
2
6
2
3
1
3
6
3
1
2
1
2
1
3
1
3
1
2
2
2
3
2
2
3
3
2
1
3
1
1
7
3
5
3
1
5
7
1
3
1
2
4
1
2
1
2
3
1
1
7
1
1
1
2
3
1
3
3
1
3
3
1
1
3
2
1
2
1
1
2
1
1
3
2
3
2
1
3
2
3
3
3
3
3
3
7
1
3
6
1
3
1
2
3
1
2
1
1
7
2
1
3
2
3
3
3
7
2
2
1
2
1
9
1
1
6
1
2
2
1
3
6
3
1
1
2
3
1
2
1
1
1
3
3
1
2
1
8
3
1
2
1
3
2
3
2
3
2
7
2
2
2
1
1
1
3
3
7
3
6
1
2
3
2
2
1
1
2
1
2
3
3
3
2
1
2
3
3
2
3
1
3
3
7
3
3
3
2
3
2
3
3
3
1
7
7
2
2
2
1
3
7
3
1
2
3
1
1
4
2
2
2
3
7
6
1
7
2
3
7
3
3
1
3
2
1
2
2
2
1
1
7
3
1
1
6
2
2
3
3
6
3
2
1
1
7
6
2
1
2
3
1
2
3
7
1
3
1
1
6
1
3
7
1
7
6
3
3
2
1
1
3
4
1
1
3
3
3
1
2
2
3
3
6
3
3
2
1
3
3
1
1
2
1
3
2
2
2
2
3
3
5
2
1
2
1
1
3
3
1
1
5
2
3
1
3
1
3
3
1
2
3
4
9
3
2
3
1
1
7
2
3
2
1
3
1
6
2
3
2
3
3
3
3
1
2
2
2
2
2
3
3
2
3
1
6
1
3
3
1
6
2
2
2
3
1
1
1
1
2
2
3
1
1
1
1
3
2
1
3
2
1
3
1
3
3
1
6
1
1
2
7
3
3
3
7
7
3
2
3
3
7
1
1
7
7
1
3
3
3
2
1
3
3
3
7
3
1
1
5
6
3
2
3
2
5
3
3
7
3
7
1
3
2
3
1
3
7
1
1
3
1
3
3
8
1
3
2
3
3
5
2
1
2
1
3
7
3
2
6
3
1
1
1
1
1
3
3
1
3
3
7
2
6
3
3
1
1
2
3
2
3
3
1
8
1
1
9
3
1
1
2
1
3
2
3
7
1
2
1
2
1
1
7
3
1
1
1
1
3
3
3
7
7
3
8
3
5
1
3
1
3
7
1
3
3
1
3
2
3
3
1
3
1
1
5
3
1
3
6
6
3
3
1
1
2
3
3
2
1
3
1
2
7
2
1
3
1
3
6
1
3
2
3
3
1
5
2
1
1
7
1
1
2
2
1
3
3
3
3
3
1
7
3
8
9
2
4
3
1
3
1
3
1
1
1
1
6
1
3
3
1
2
7
2
2
1
1
6
1
3
1
2
7
2
3
1
2
3
8
2
1
6
3
3
7
2
2
3
1
3
1
2
1
3
1
3
3
2
3
3
3
3
3
1
2
3
3
3
3
3
3
1
3
2
2
2
7
3
1
3
1
2
1
1
1
3
6
3
1
1
7
2
6
3
3
3
1
1
1
9
3
2
2
3
3
1
7
3
2
2
2
6
3
1
2
1
7
3
2
7
3
1
7
1
1
3
1
1
2
7
3
2
1
3
3
3
3
2
2
3
1
1
7
3
7
7
7
3
1
3
2
1
1
1
7
7
3
3
2
3
1
1
3
7
3
1
1
2
2
8
2
2
1
2
1
1
3
1
7
7
3
3
3
9
2
1
1
1
3
1
1
3
3
6
6
1
2
6
3
2
5
3
3
2
3
2
3
3
7
6
1
1
1
2
7
3
2
1
2
1
1
6
3
1
1
1
3
7
2
2
2
7
7
3
3
1
3
2
2
8
3
1
3
3
1
1
1
3
3
2
2
2
3
1
3
1
3
3
3
3
3
4
3
3
3
3
6
1
3
3
9
2
6
2
1
3
2
3
3
2
7
3
1
2
2
3
3
2
3
1
2
3
3
3
3
6
2
1
5
3
2
1
6
2
1
1
1
3
3
3
1
8
6
1
3
3
1
3
3
2
6
6
7
1
3
1
1
3
2
3
3
1
2
3
2
1
2
3
1
2
3
7
2
2
1
1
1
3
7
6
3
2
1
1
3
7
7
3
1
1
3
1
1
2
2
2
1
2
1
7
3
2
7
2
3
1
3
3
3
1
1
3
3
2
1
3
1
3
1
1
1
3
1
2
6
4
1
1
9
2
3
6
1
8
3
6
3
3
4
3
1
1
7
3
1
2
3
3
1
1
2
3
1
3
2
7
3
4
2
3
1
1
7
2
5
1
2
3
3
3
3
3
3
2
3
2
2
1
1
2
3
3
2
6
2
2
6
1
1
3
3
1
1
2
1
2
3
1
2
7
1
2
5
3
2
1
3
1
3
1
3
3
1
1
4
3
1
2
7
3
1
1
2
2
1
2
1
1
3
1
1
9
3
9
1
3
2
1
1
1
3
3
2
2
1
3
5
1
2
1
9
3
1
2
1
2
6
1
1
4
1
2
1
1
2
3
6
6
2
1
1
1
3
2
1
6
2
1
1
2
1
2
3
3
7
1
1
7
1
1
1
3
6
7
3
6
6
1
3
7
2
3
3
2
1
1
1
2
7
1
1
3
1
2
1
1
1
7
1
2
2
7
1
1
1
2
6
1
2
3
1
3
3
1
1
2
9
1
2
1
3
3
2
3
3
1
2
1
1
2
3
2
3
1
4
1
1
2
1
1
1
7
3
2
1
6
1
2
2
7
1
1
3
1
3
3
1
1
3
3
1
3
3
6
3
3
1
3
3
3
4
1
1
1
7
1
3
1
1
2
3
3
2
3
1
2
3
5
3
3
1
2
7
2
3
3
7
7
6
1
3
3
1
1
3
2
3
1
7
1
1
1
3
2
3
3
2
5
3
1
1
1
6
7
3
3
4
5
2
2
3
1
3
6
3
1
7
3
1
3
2
2
3
3
3
4
3
2
3
7
2
1
7
6
8
3
3
1
1
1
2
3
3
1
3
1
1
3
3
1
3
1
3
2
3
3
2
1
2
1
2
3
1
3
1
1
2
1
3
1
3
4
3
1
1
3
3
3
3
1
1
2
3
3
3
3
3
2
2
3
1
1
3
1
3
1
2
2
3
7
3
3
1
2
2
6
3
2
2
7
3
3
6
3
3
2
3
1
3
1
8
1
3
7
6
1
3
3
2
3
3
3
2
2
3
1
1
1
7
2
1
3
3
2
2
1
1
3
1
3
3
1
3
3
2
1
1
7
2
1
7
2
3
1
3
1
2
2
3
2
1
3
6
3
2
1
1
7
2
7
2
1
2
1
3
3
3
7
2
3
1
6
9
1
3
3
7
1
2
3
2
3
7
3
1
3
2
6
1
1
2
7
3
3
3
2
2
3
2
2
1
1
3
3
3
5
6
6
2
1
4
5
1
1
2
3
2
1
3
2
3
2
3
3
1
7
3
2
8
3
2
7
2
1
1
9
1
2
3
7
1
2
2
6
2
1
3
1
5
3
1
2
1
1
2
3
1
1
3
6
1
1
3
1
4
3
1
3
2
3
1
1
3
3
1
7
2
9
3
6
1
1
6
1
2
1
7
1
2
1
3
7
7
2
5
3
3
3
5
1
3
3
1
7
1
1
3
1
3
1
1
2
9
2
1
7
1
2
1
3
9
1
1
3
3
3
1
6
2
1
1
2
5
7
3
1
3
3
3
3
3
3
1
2
3
1
6
1
1
1
3
2
2
1
3
2
2
1
7
2
3
3
3
2
3
2
2
7
3
2
3
1
1
5
1
2
2
1
1
2
2
1
6
6
1
1
1
2
6
2
6
3
2
2
1
6
6
3
5
3
3
1
5
1
3
3
1
3
3
1
1
7
1
1
1
1
1
3
2
3
2
2
3
7
1
3
3
1
3
3
1
3
2
3
1
1
1
3
1
1
3
3
3
3
1
2
3
2
1
5
5
2
2
1
1
6
1
1
1
5
5
6
3
1
2
1
1
1
2
3
2
1
1
2
3
3
9
1
6
5
1
1
3
1
3
1
3
1
2
2
3
2
2
2
1
2
3
6
3
3
3
3
8
3
2
2
6
2
4
3
1
1
2
3
2
6
3
3
2
7
2
1
2
2
1
3
1
5
1
1
3
1
1
1
1
2
3
2
1
2
3
7
2
5
1
2
1
1
1
1
1
2
2
2
1
4
1
3
1
3
1
2
3
1
3
2
1
1
1
7
1
1
3
2
1
1
3
8
2
1
1
3
1
1
2
3
1
2
1
1
2
3
1
5
1
1
7
3
2
3
1
2
3
4
7
7
1
1
1
2
3
7
2
3
3
1
1
1
3
3
9
3
1
2
6
3
8
2
1
3
1
1
8
2
3
3
1
3
3
2
2
1
7
1
1
2
6
2
1
3
3
2
3
3
3
1
1
2
3
2
3
3
1
5
1
3
3
2
2
3
9
7
1
3
2
3
2
3
3
1
1
3
2
2
1
3
2
1
1
1
1
1
3
2
2
3
3
7
1
2
2
1
3
3
3
2
3
2
3
3
3
1
3
3
1
7
2
3
2
3
1
1
3
2
3
2
1
1
2
3
2
3
1
1
2
7
1
1
1
1
7
3
3
1
3
3
2
2
1
2
7
3
2
6
2
3
1
7
1
2
2
2
3
1
1
3
3
2
3
3
2
1
3
3
1
2
1
2
2
1
3
6
1
9
1
1
3
3
1
3
1
1
3
3
1
1
1
2
1
6
3
2
3
2
3
3
1
2
1
1
3
1
1
1
5
6
1
1
3
4
1
3
3
7
3
3
1
3
1
6
3
1
2
3
1
1
9
6
3
2
3
3
3
1
3
1
2
3
3
1
3
2
1
3
3
2
1
3
1
1
2
1
2
3
2
1
1
1
3
1
2
2
1
3
2
1
7
3
1
1
3
1
1
3
3
7
1
7
3
3
1
3
1
7
1
1
2
6
3
1
1
1
3
9
3
5
2
3
6
1
3
3
3
1
2
2
3
3
3
3
1
3
3
1
3
3
2
7
1
1
3
1
1
3
2
2
7
2
2
6
3
7
3
1
3
3
1
3
3
3
1
3
1
2
1
3
7
2
3
2
3
3
1
2
3
3
6
7
3
1
3
1
3
3
1
1
3
6
3
1
3
3
3
2
3
1
1
1
2
5
2
6
2
1
3
1
2
3
2
1
1
1
1
3
3
2
3
3
1
1
3
3
2
3
3
3
4
3
7
8
2
2
1
1
3
1
4
7
1
8
5
2
3
2
2
1
1
6
2
1
3
7
2
3
1
2
2
1
7
1
2
3
7
6
6
3
3
3
3
6
3
9
7
3
1
3
3
5
2
3
7
2
3
1
1
1
2
3
1
1
1
1
3
7
1
3
1
7
1
1
1
1
9
1
6
7
1
6
2
1
7
2
2
1
3
1
3
1
1
1
3
1
2
1
2
8
2
1
1
1
3
2
2
5
1
2
3
1
1
3
3
7
3
3
2
3
1
2
2
1
1
3
3
3
1
3
1
1
1
3
3
1
7
3
1
2
3
1
3
1
1
1
4
3
3
1
1
7
1
3
1
3
1
1
3
3
1
2
3
2
3
1
3
2
1
3
1
1
4
2
3
3
1
2
2
2
1
1
1
3
3
3
2
2
1
3
3
3
2
2
7
3
1
3
1
2
1
1
2
3
3
3
1
3
1
2
3
1
3
1
1
1
2
1
1
3
2
2
3
2
3
2
2
2
1
2
4
3
3
2
1
3
1
3
3
1
1
3
3
3
1
1
3
6
1
2
3
1
1
3
3
3
1
3
3
3
6
1
7
1
3
2
7
6
3
3
3
1
2
1
3
1
2
2
2
9
6
6
1
1
2
2
6
2
1
8
2
3
1
3
2
1
8
3
1
2
3
6
2
3
2
3
1
3
3
2
1
1
1
1
3
1
2
3
3
1
3
1
3
1
3
3
3
3
7
3
1
3
3
1
1
3
1
3
3
1
3
3
3
1
1
6
8
3
2
1
1
1
3
9
3
1
3
1
3
3
1
2
2
3
3
3
1
1
3
1
3
1
3
6
3
3
1
1
8
3
2
1
3
3
2
2
1
5
2
2
1
3
1
3
1
2
1
2
9
1
3
1
6
3
3
4
6
6
2
2
2
3
1
3
1
1
6
3
9
1
1
3
3
3
3
1
9
2
3
1
3
2
1
1
1
5
2
7
4
3
1
3
3
2
1
1
3
3
2
1
1
7
3
3
3
5
5
3
1
7
6
3
2
1
1
1
2
5
3
2
1
1
1
6
7
3
1
1
2
3
1
2
3
8
1
7
1
2
3
3
1
3
2
2
2
2
3
3
3
2
3
2
6
7
2
1
3
1
3
1
2
5
2
2
3
3
1
1
2
3
2
1
3
7
3
1
1
3
6
1
1
8
5
3
1
3
1
3
1
1
2
6
3
7
1
3
6
7
2
2
1
3
3
2
7
4
1
2
1
1
3
1
1
2
1
3
1
2
1
3
1
2
3
3
3
1
2
3
3
1
3
3
1
1
3
1
3
1
6
5
1
2
6
1
1
3
1
3
2
1
1
6
3
3
1
3
2
2
2
3
1
2
1
3
3
8
1
2
2
1
1
1
1
3
3
2
2
1
2
1
9
1
6
1
7
3
3
1
3
3
3
1
1
1
3
2
2
3
1
6
1
3
1
2
1
1
5
3
2
2
8
3
6
3
4
1
1
1
1
3
1
1
1
3
5
3
1
1
3
3
3
3
6
2
3
3
3
2
7
3
1
1
1
3
1
7
2
1
7
3
7
6
5
1
3
2
1
3
3
3
3
1
3
1
3
6
6
3
2
1
2
1
7
3
3
1
2
3
2
3
3
3
2
3
2
2
1
1
3
3
3
2
1
1
1
3
4
1
2
1
1
2
1
1
2
6
3
2
3
1
7
7
1
3
3
3
2
3
2
3
2
3
7
1
3
2
1
1
7
3
1
1
2
7
1
3
3
1
8
2
5
2
1
2
7
1
2
7
2
2
3
2
3
8
1
1
1
1
2
3
2
2
4
2
3
3
3
3
3
1
7
6
1
2
2
3
3
2
2
2
1
2
3
1
1
1
7
8
3
4
3
3
1
7
2
2
2
5
3
2
3
2
2
3
1
3
3
3
1
3
1
1
1
3
6
6
3
1
6
3
1
3
3
3
3
3
3
2
3
2
5
1
1
2
3
7
3
7
7
2
4
1
1
1
7
3
2
2
1
1
3
1
1
3
3
2
1
3
5
3
7
1
2
3
3
3
3
2
2
6
2
2
1
2
1
1
1
2
2
1
1
3
3
3
3
3
3
1
1
1
2
7
1
3
3
3
1
3
7
3
1
3
1
1
1
3
3
2
2
8
3
3
3
1
8
1
1
1
8
3
1
6
3
7
6
3
3
3
4
1
3
4
1
1
3
3
3
1
1
1
8
3
3
3
1
3
1
5
2
3
3
1
3
1
3
1
1
1
3
2
2
3
1
1
3
6
1
3
3
1
3
2
3
1
3
3
3
3
2
1
1
3
3
2
2
3
2
6
1
2
3
5
1
3
1
3
1
1
3
1
2
3
3
3
3
1
1
3
1
3
1
2
1
2
7
6
1
1
1
1
1
7
2
3
2
6
1
1
2
1
2
3
1
2
1
1
3
1
2
1
2
3
1
3
1
2
7
3
3
3
1
1
2
1
2
3
7
3
3
2
3
7
1
1
2
1
1
1
6
1
1
1
7
2
1
1
5
2
1
1
3
3
3
3
3
3
1
3
6
3
3
7
1
3
1
1
3
9
4
1
9
8
3
2
1
3
3
3
1
1
1
1
1
6
5
3
1
2
3
2
3
2
3
6
2
2
2
1
1
1
2
6
6
3
3
2
3
2
1
7
1
3
1
1
8
1
2
2
7
3
1
1
1
2
7
2
1
3
2
2
3
1
1
2
3
1
3
3
3
2
6
1
3
3
2
3
1
2
6
3
3
5
2
5
1
1
2
6
2
1
1
1
2
1
3
1
1
1
3
1
1
3
2
6
1
7
3
6
1
3
3
3
6
1
2
1
2
3
1
3
1
1
2
2
5
1
1
3
1
5
3
7
1
2
1
3
3
4
7
3
3
1
3
1
1
8
1
6
2
1
1
1
1
7
3
3
1
3
2
8
3
3
2
1
2
3
1
2
1
3
3
3
5
3
1
7
7
1
1
1
3
1
1
1
2
3
3
2
3
3
6
3
9
3
7
1
3
7
3
6
3
3
2
2
1
2
3
1
1
2
5
2
1
3
3
3
3
1
1
2
3
2
2
6
1
3
1
1
2
3
3
3
2
3
1
2
1
1
1
2
3
3
1
2
3
3
3
1
3
1
3
3
3
6
1
2
1
3
2
1
1
3
2
3
3
1
2
9
4
3
1
1
2
2
3
7
1
7
3
7
1
1
3
1
2
3
2
2
2
2
3
1
2
1
1
3
3
3
1
7
1
2
2
7
2
1
9
2
5
1
1
1
2
2
3
1
1
2
2
3
2
2
2
1
2
2
2
7
5
6
1
3
1
1
1
2
9
1
1
3
1
3
2
1
3
3
3
3
2
2
9
1
3
3
1
1
2
3
3
3
3
1
2
1
1
3
1
3
2
9
6
3
1
3
2
5
1
1
3
1
2
2
1
3
3
3
2
3
7
2
5
3
1
1
1
2
1
2
3
3
2
3
3
2
3
1
3
3
5
1
3
2
3
1
1
7
1
1
8
2
1
3
2
1
3
1
9
2
7
2
7
2
1
3
1
1
7
3
1
6
1
2
1
3
3
3
2
1
1
3
3
1
8
1
1
1
1
3
3
3
9
2
1
2
2
2
1
1
3
1
1
3
1
1
2
1
3
1
1
2
7
2
6
6
3
3
1
8
1
1
3
2
7
2
6
7
3
3
3
3
2
3
1
7
1
1
1
1
2
3
6
9
7
2
3
7
2
2
7
7
3
3
9
2
1
2
1
6
3
1
3
3
1
1
7
1
6
6
2
2
3
1
3
6
1
3
4
1
2
1
3
1
1
2
6
4
1
1
1
3
3
3
1
6
2
1
3
6
1
3
3
1
1
3
1
1
6
2
1
1
1
3
7
1
2
2
3
5
3
7
1
3
1
3
3
1
7
1
2
1
2
3
2
1
7
1
2
3
2
7
3
3
1
1
1
2
3
3
9
7
2
2
3
3
1
1
2
1
1
3
3
7
9
3
1
3
1
3
3
3
1
1
2
1
3
2
3
8
1
1
1
2
2
6
3
3
3
9
3
9
2
6
1
1
1
1
2
5
3
7
3
3
2
3
3
1
4
1
2
2
2
3
2
1
6
2
1
3
2
1
3
6
3
1
7
1
2
3
7
2
3
3
1
7
2
3
3
3
3
2
1
7
3
1
3
4
2
3
3
5
3
2
1
1
3
1
1
5
1
2
2
1
7
2
1
3
2
1
2
1
6
3
2
3
1
1
2
4
3
1
1
2
2
6
1
1
3
1
2
1
1
2
2
3
6
2
7
7
6
1
3
1
6
2
1
6
3
3
3
1
3
1
2
1
2
2
1
1
3
1
1
1
2
4
3
3
1
3
1
3
2
1
1
1
1
1
1
1
3
1
2
4
9
2
1
3
1
2
3
3
1
2
1
3
3
3
1
1
1
1
2
3
3
3
3
1
2
2
2
1
3
7
2
1
3
3
2
2
1
6
1
1
2
4
2
5
2
8
3
1
1
2
2
3
1
3
1
4
1
3
1
2
3
4
3
2
1
1
2
2
2
1
3
1
4
3
3
3
5
1
2
3
1
3
1
2
3
2
3
1
2
2
6
1
7
3
1
2
3
2
7
1
3
1
6
3
1
1
7
3
1
3
2
6
6
3
3
1
1
2
3
3
2
1
7
3
3
2
3
3
2
1
3
1
2
1
3
6
1
3
3
7
3
6
6
3
2
3
2
1
1
3
1
1
2
6
3
3
7
1
3
2
1
1
7
3
1
2
1
2
2
4
6
5
1
1
2
3
2
1
3
3
1
1
3
1
6
3
1
3
1
1
1
3
3
1
3
1
2
3
2
3
3
1
3
1
1
1
1
3
3
1
3
1
1
3
2
3
1
2
3
2
2
1
3
6
3
1
2
5
1
3
1
1
1
3
3
2
3
1
1
2
1
2
3
3
5
6
9
3
2
3
1
2
3
3
3
1
3
2
3
3
2
1
3
1
1
1
2
3
1
3
3
1
1
1
3
2
1
3
3
1
1
1
1
3
2
1
1
3
5
1
2
1
1
1
6
7
5
9
6
3
1
1
7
2
1
2
1
1
2
3
1
3
1
3
6
1
2
3
3
7
3
1
2
3
1
3
2
3
3
3
3
3
1
2
9
2
2
1
2
2
1
7
1
3
3
3
1
8
3
2
1
1
3
3
3
7
3
3
1
2
1
3
8
1
1
1
3
3
1
3
1
3
3
1
1
2
1
1
3
7
1
8
2
7
3
2
2
1
1
2
3
3
3
1
9
5
2
2
7
5
2
2
3
3
2
3
1
1
1
2
2
1
3
3
2
1
1
6
2
2
3
2
2
5
3
1
2
1
5
3
3
5
3
2
5
3
1
3
1
2
7
1
1
2
6
2
1
3
7
1
2
3
3
1
1
1
1
5
3
1
1
1
7
2
7
2
3
3
1
2
3
1
2
1
2
9
1
3
3
2
3
3
2
1
1
9
1
2
7
3
3
3
2
3
1
1
3
1
7
1
1
3
2
1
3
3
1
2
7
3
3
2
1
3
3
3
1
1
3
1
1
3
8
3
2
6
1
1
1
1
1
2
7
3
7
6
7
1
2
1
3
1
2
2
5
9
1
1
1
2
2
1
1
3
2
3
2
3
1
2
1
1
3
1
1
3
1
3
2
6
2
3
2
3
1
7
3
3
3
3
1
3
1
1
1
1
1
1
2
1
1
1
5
3
3
7
3
1
1
1
3
3
1
3
3
3
3
9
3
3
7
7
3
2
3
9
3
2
1
3
1
3
6
3
3
7
7
3
1
3
3
3
2
2
3
3
3
1
2
3
3
3
3
1
6
6
2
2
1
2
2
2
3
3
1
3
3
7
3
1
1
3
5
3
1
3
5
3
3
1
3
7
3
1
1
3
3
1
2
1
2
3
1
1
2
1
1
3
2
3
1
1
2
3
2
1
1
1
3
2
3
1
1
2
1
2
7
2
3
7
2
2
5
2
1
3
3
2
1
6
3
1
1
5
3
2
1
2
1
1
3
2
1
3
7
7
3
1
3
5
2
1
2
1
3
3
2
3
1
1
1
3
7
2
1
7
2
3
5
3
7
1
2
1
3
3
3
3
3
1
2
3
1
3
1
1
3
2
3
1
3
2
8
1
1
1
2
8
1
3
1
3
1
1
2
1
3
2
3
2
1
3
2
3
3
2
3
2
2
3
1
3
3
3
3
3
1
2
3
2
2
3
3
3
3
2
1
2
3
1
3
1
1
2
2
6
1
1
1
1
6
3
3
2
2
1
3
3
3
1
1
1
3
2
1
1
1
6
3
3
2
9
3
1
2
1
3
1
2
1
4
1
3
7
1
1
3
1
5
2
1
2
3
2
1
1
1
4
1
1
2
3
1
1
3
3
2
2
3
2
1
5
1
3
1
5
2
1
1
3
7
1
3
1
1
3
1
3
2
3
1
1
3
1
2
6
3
1
3
2
1
1
2
1
1
1
1
3
5
2
3
7
2
2
3
1
3
7
1
3
3
6
1
3
3
3
1
2
2
2
1
3
2
3
2
3
7
2
2
2
3
9
7
1
1
3
3
2
1
3
1
2
6
1
2
8
1
3
6
1
1
1
3
2
1
3
3
3
1
1
1
7
1
2
5
2
3
3
3
1
3
5
7
1
1
3
1
1
7
3
1
1
3
6
1
3
1
2
1
1
1
2
3
1
9
2
2
1
2
9
3
2
4
2
2
2
7
3
1
3
2
3
2
1
1
1
2
4
3
6
3
5
3
3
3
1
1
2
1
1
2
3
3
1
3
1
1
3
3
1
3
2
5
1
1
3
3
7
3
1
1
3
1
3
3
2
3
6
3
3
3
3
3
3
3
3
1
6
3
1
1
2
1
2
3
6
2
3
1
7
1
1
3
3
1
1
1
2
3
1
1
1
3
2
2
1
1
1
2
3
3
2
2
2
2
3
1
7
1
1
1
2
1
1
1
1
6
3
2
1
1
1
2
1
5
3
1
3
3
1
3
1
3
2
1
1
5
3
1
3
2
2
8
3
3
7
3
5
6
7
1
3
2
1
3
5
6
2
3
3
3
1
3
1
3
7
1
1
1
3
3
9
3
1
3
2
3
3
3
2
2
1
6
3
2
3
1
1
1
1
3
2
2
1
3
2
1
3
2
3
1
3
2
5
1
6
1
3
6
3
3
1
2
1
1
1
1
1
2
3
3
2
3
3
2
3
1
3
1
1
9
1
3
1
3
3
3
2
2
1
1
3
1
3
2
1
1
3
3
2
2
2
3
2
2
2
2
3
7
3
6
8
3
1
1
1
1
2
7
3
2
3
2
2
3
3
9
6
2
3
6
3
2
2
1
2
1
1
2
9
2
3
2
3
3
3
1
3
1
1
3
1
3
2
2
2
8
3
6
2
3
2
3
3
1
1
7
3
3
2
1
2
2
3
1
1
1
1
2
3
1
2
2
3
1
2
1
2
1
1
3
2
1
1
3
7
1
1
3
3
3
2
2
3
3
1
2
2
3
3
7
3
1
3
2
3
9
3
1
3
2
3
1
1
3
3
3
3
3
2
2
1
3
6
3
1
1
3
1
2
1
3
3
3
1
2
2
7
2
3
1
3
1
1
1
3
1
1
2
3
1
5
1
1
3
3
1
3
1
2
2
3
2
1
1
2
1
1
1
3
3
1
3
2
1
1
9
2
2
1
1
3
7
1
1
1
1
1
1
5
7
3
2
2
3
3
2
1
1
3
3
2
1
1
1
2
1
1
1
1
3
2
2
3
3
3
3
2
1
1
7
1
2
2
1
1
1
4
3
3
2
1
3
3
1
1
1
2
2
2
3
1
2
2
1
1
1
3
6
3
1
3
1
1
3
1
1
3
2
8
7
6
2
1
2
1
1
3
2
2
1
6
2
7
2
1
1
1
2
1
3
1
3
3
1
1
2
2
3
3
1
3
1
5
1
1
3
3
3
3
3
3
2
1
3
3
1
3
1
2
1
3
1
2
2
2
6
3
1
1
3
3
2
1
3
6
1
1
1
3
3
1
2
2
8
3
2
1
2
1
3
3
3
3
3
3
7
2
2
3
2
1
3
1
3
2
1
3
3
7
2
7
3
1
3
1
3
2
3
2
5
3
1
2
7
2
3
3
3
3
1
2
3
1
1
1
1
1
2
1
3
2
1
1
7
6
2
1
2
3
3
1
3
6
2
1
1
7
3
3
3
2
2
3
1
1
2
3
2
3
5
3
2
3
1
1
3
2
2
9
1
3
3
2
2
3
1
3
1
2
3
1
1
2
1
1
3
3
3
2
3
3
3
2
1
3
2
1
1
1
6
1
2
3
1
3
3
2
2
1
4
2
2
1
2
9
3
1
3
3
3
3
1
3
1
6
3
1
3
1
1
3
1
3
1
2
1
1
2
1
2
3
1
2
3
1
9
3
1
2
2
1
7
5
3
2
1
1
7
3
4
2
2
3
2
3
2
3
2
2
1
2
3
1
2
2
1
1
1
4
1
3
2
1
2
3
3
3
1
7
3
1
3
1
1
3
1
2
7
1
1
2
1
3
5
3
3
1
3
9
3
1
2
2
1
1
2
3
1
2
2
1
1
3
3
1
3
1
1
1
2
1
1
3
2
2
3
2
2
2
3
3
3
1
2
2
1
1
3
1
6
3
7
7
3
1
3
2
7
2
1
3
3
3
2
1
2
3
2
1
6
2
3
7
1
9
1
6
3
3
3
7
2
2
3
2
1
7
1
7
1
3
3
3
3
4
3
3
6
7
1
1
3
3
1
3
1
1
3
3
1
3
5
1
3
3
2
7
2
2
6
3
1
2
2
2
1
3
3
2
1
5
7
5
3
3
2
2
3
1
7
3
1
2
7
3
1
1
1
2
2
3
2
2
2
1
3
2
2
1
6
3
1
3
1
4
2
2
3
9
3
3
2
1
3
1
1
1
9
1
3
3
3
1
7
3
3
3
3
2
3
3
2
3
3
2
3
2
3
1
9
3
2
3
5
1
1
1
2
1
2
3
7
1
3
1
1
3
2
3
2
1
2
3
3
5
3
1
3
2
3
2
2
3
3
1
1
2
6
3
3
3
3
2
1
1
3
3
3
2
3
2
3
1
7
1
1
3
7
3
1
1
6
1
3
7
3
3
3
3
1
3
2
1
1
2
1
2
3
1
1
3
3
3
6
3
4
1
1
6
3
2
1
2
2
3
3
3
5
3
7
2
4
1
3
6
3
1
1
3
3
1
1
1
1
3
3
1
1
2
2
6
3
2
2
5
3
3
1
2
2
2
2
3
1
1
2
3
2
3
3
3
1
3
1
1
3
2
3
3
3
3
3
9
3
1
3
1
1
1
3
2
2
3
3
3
1
3
1
1
2
2
7
3
7
1
3
7
2
3
3
2
3
2
1
3
5
3
1
3
3
2
3
3
6
3
2
6
8
2
3
6
3
8
1
3
3
2
7
2
3
2
3
2
1
1
5
2
3
3
1
3
3
2
7
3
3
3
2
3
3
1
1
3
3
3
1
1
2
3
2
1
1
3
2
3
4
2
1
3
2
3
6
3
1
1
3
7
3
1
3
3
3
2
1
2
1
1
2
1
2
2
2
1
1
3
2
2
1
3
7
2
3
3
1
1
1
1
1
3
1
6
2
1
1
1
1
5
1
3
1
1
3
2
1
1
5
3
3
1
2
1
2
2
2
3
1
1
2
1
5
1
3
2
1
1
2
2
1
3
2
1
3
3
2
1
9
1
3
2
3
1
7
1
6
3
5
3
1
7
1
3
3
7
1
1
1
2
1
1
1
7
1
1
7
2
1
1
1
2
1
3
3
7
3
2
3
5
1
3
3
4
2
1
3
1
3
3
1
3
3
7
1
1
3
1
1
1
2
1
2
1
3
1
2
2
1
3
6
2
2
2
1
2
1
2
1
3
1
2
2
3
3
1
1
3
2
7
1
1
2
3
2
1
4
2
3
1
3
3
1
3
2
2
2
3
2
2
2
2
3
2
3
2
3
3
7
3
5
3
5
3
3
1
3
7
6
1
2
3
1
3
1
5
2
1
1
1
2
3
3
1
2
1
1
6
3
3
3
1
1
1
2
3
1
1
2
3
3
3
6
7
3
2
5
1
1
8
6
2
3
3
3
1
3
3
1
1
1
2
7
1
1
1
2
8
1
1
2
3
3
1
1
1
2
1
3
1
5
1
3
1
7
1
2
3
1
2
3
6
2
9
2
3
1
3
7
8
2
1
7
1
3
1
3
1
1
4
2
3
3
1
1
7
1
6
8
4
1
1
1
6
1
3
1
2
2
1
3
2
3
3
1
2
3
3
2
6
1
3
3
1
3
7
3
3
5
8
1
1
2
2
3
1
3
3
1
1
2
3
3
3
1
1
1
3
3
9
3
2
1
7
3
1
2
3
7
1
1
1
3
2
2
3
5
1
3
1
1
6
1
2
1
1
2
9
3
3
3
3
1
6
3
1
3
2
2
3
1
3
3
2
7
2
3
1
1
3
6
3
7
1
2
3
2
3
2
6
3
1
1
1
3
6
7
1
3
1
2
1
9
1
1
2
3
2
4
3
7
2
3
1
3
3
1
3
1
3
3
1
2
3
3
1
7
2
3
2
1
2
5
1
3
2
1
2
3
2
1
3
6
1
2
5
6
3
1
7
3
3
3
1
1
3
1
3
2
2
7
2
3
3
2
1
2
2
3
1
1
2
5
5
3
1
1
6
2
2
2
1
2
3
9
3
1
7
2
3
3
2
2
2
3
2
1
2
1
3
4
3
1
6
2
3
3
7
6
4
6
2
2
1
3
2
2
3
1
6
2
7
1
1
1
2
1
2
1
7
1
6
1
1
7
2
2
2
1
2
3
3
2
2
3
7
3
3
1
2
1
1
2
3
1
1
1
7
3
3
1
1
3
3
3
2
3
6
3
3
9
1
3
1
1
1
3
7
3
7
2
2
3
3
2
1
1
2
2
3
2
1
3
1
1
1
6
1
2
1
1
3
3
3
2
2
4
9
2
3
2
1
3
3
7
2
3
1
2
6
2
3
6
3
3
1
6
3
2
3
1
2
4
1
3
2
3
3
2
3
3
1
3
1
2
3
2
2
3
1
2
6
3
3
3
1
3
2
3
7
3
1
6
1
1
3
3
2
1
3
2
3
3
7
1
1
2
1
2
3
2
6
1
2
3
2
3
3
9
2
3
1
3
3
7
1
7
3
7
1
3
2
1
3
2
1
3
3
2
1
1
3
1
1
2
5
1
7
2
7
2
1
1
1
1
1
1
3
1
2
1
3
2
1
2
3
7
3
3
3
1
2
3
2
2
2
3
1
3
6
2
1
1
1
6
1
3
1
1
1
3
1
1
1
3
2
1
1
5
1
3
3
3
1
3
3
1
5
2
2
3
1
1
1
1
3
1
3
7
1
3
3
3
3
1
2
2
6
1
5
3
1
1
1
3
3
1
3
2
2
3
3
3
1
1
2
6
1
6
1
5
3
1
3
1
3
3
2
2
3
3
2
2
1
1
1
1
1
2
1
1
1
1
7
8
3
1
1
9
3
3
3
1
2
3
1
6
3
1
3
2
2
1
2
1
2
2
3
2
3
3
7
2
1
1
2
1
7
6
2
3
1
7
3
3
7
1
3
6
1
1
2
3
1
1
3
3
3
6
1
3
1
1
1
1
6
1
2
8
2
2
1
3
3
2
1
7
3
3
1
1
3
1
1
3
2
1
3
1
7
3
1
3
3
1
3
3
1
3
3
1
1
7
7
2
1
6
3
1
2
1
3
3
3
1
5
2
2
3
6
7
1
2
1
2
2
3
1
1
2
3
3
3
6
1
3
2
1
2
1
1
2
2
2
1
1
1
1
3
2
1
7
3
1
3
1
3
2
3
3
6
1
1
3
3
1
2
3
3
2
2
1
3
1
3
1
5
6
2
1
1
3
2
1
1
3
2
2
3
1
3
1
1
3
7
1
3
1
1
1
3
3
2
3
2
3
4
1
9
1
1
1
8
3
6
3
8
2
1
3
3
3
3
3
3
3
3
1
2
7
8
2
3
1
5
1
2
1
2
3
2
1
2
3
9
2
3
5
1
3
1
3
3
2
1
2
2
5
3
7
3
3
3
6
7
6
3
3
3
3
2
3
3
3
2
2
1
1
2
6
1
3
5
3
1
2
2
6
1
2
5
1
1
3
7
2
2
2
8
1
3
1
7
4
3
6
1
1
1
1
2
2
2
3
3
3
2
1
1
2
3
1
2
2
1
2
1
1
3
5
2
3
6
1
1
1
3
1
3
7
7
8
6
1
1
1
2
1
9
1
3
2
3
5
3
2
3
1
1
5
3
3
1
2
2
1
2
2
3
3
2
3
7
5
6
2
3
1
1
7
1
6
1
6
2
1
3
2
2
2
3
3
3
7
7
3
4
1
3
7
1
1
1
2
1
3
2
1
2
1
2
7
1
2
2
2
2
3
2
3
3
3
1
3
1
3
3
3
1
3
4
7
1
3
3
1
1
3
2
1
2
1
7
2
2
3
1
3
7
1
6
1
3
1
2
2
1
2
1
3
3
3
1
3
1
1
2
1
1
2
1
2
1
2
8
6
1
3
3
3
1
1
2
1
3
2
3
2
3
1
3
1
2
2
1
1
1
1
7
5
1
8
3
3
1
1
2
3
3
5
1
1
3
3
1
3
1
7
1
3
2
2
1
1
1
2
1
3
2
1
2
2
1
2
4
3
7
3
7
1
2
3
1
3
7
1
3
7
1
2
6
1
6
3
3
3
5
1
3
3
2
1
8
1
1
3
3
8
3
3
6
1
3
3
2
3
3
3
3
1
1
1
3
1
6
3
2
9
2
2
3
7
2
1
1
2
3
3
1
2
2
3
2
2
2
3
7
2
3
2
3
2
3
5
1
1
1
1
6
1
3
2
2
1
1
1
7
1
1
1
1
3
2
2
3
1
1
1
3
2
7
2
2
1
2
3
3
1
2
8
3
3
1
7
3
3
3
3
3
3
1
2
3
2
3
1
7
3
3
1
1
3
1
1
2
2
1
4
3
6
3
2
3
1
3
1
1
1
3
1
1
1
1
1
2
1
6
1
2
3
3
6
9
2
1
2
3
2
3
1
3
3
1
2
3
3
2
1
3
2
1
9
1
1
2
1
3
4
1
3
3
1
2
3
1
3
3
2
1
6
1
2
1
1
4
3
3
7
3
1
1
3
1
3
3
4
1
1
1
1
1
6
3
3
2
1
3
3
2
2
3
3
1
7
3
2
3
6
1
3
6
7
2
3
2
2
1
1
1
2
2
2
2
1
3
4
3
2
2
3
5
2
2
3
9
2
3
1
3
2
3
2
3
6
1
3
1
3
2
2
3
5
2
6
5
3
3
2
1
2
1
6
1
3
4
1
3
6
1
2
3
2
5
3
1
1
1
2
1
2
1
3
7
2
2
2
2
3
3
1
2
1
2
1
3
1
3
1
3
5
2
1
2
1
3
1
1
1
3
1
1
3
2
1
3
1
2
7
2
1
1
2
2
3
3
1
1
2
1
9
1
2
1
2
3
3
2
1
3
1
1
3
3
1
3
3
5
3
3
2
1
1
1
2
3
6
3
2
1
2
3
3
1
1
3
3
3
3
3
2
9
1
3
3
1
1
6
9
2
3
3
2
1
1
1
1
1
1
1
1
7
3
3
1
2
2
2
6
5
1
1
3
6
3
1
1
3
1
1
3
1
3
2
1
6
1
3
3
3
3
2
3
1
1
3
1
1
2
3
1
7
3
1
1
1
1
2
2
2
2
1
3
3
2
1
2
1
2
1
3
2
8
1
7
1
7
1
9
3
2
1
1
6
6
3
1
1
3
1
3
5
3
3
1
6
9
1
1
7
3
3
1
1
1
3
2
3
1
3
1
2
3
2
1
2
3
1
2
3
1
2
3
3
5
1
1
1
1
2
1
2
8
3
3
3
3
3
3
3
3
3
1
3
3
3
3
6
3
1
2
2
7
2
1
3
1
3
1
5
3
3
2
2
1
1
2
1
1
3
3
2
2
3
1
2
1
1
1
1
1
1
3
1
2
1
3
3
1
1
1
1
3
6
1
7
7
2
3
2
1
1
2
3
3
7
2
2
1
3
1
1
2
3
3
1
1
3
3
2
3
6
6
1
2
5
2
4
1
3
3
3
2
3
2
3
3
3
3
1
1
1
1
2
3
3
1
6
1
3
3
1
1
1
3
7
1
1
6
1
2
1
2
2
3
3
3
3
1
2
3
2
1
2
2
7
2
1
1
1
1
1
1
1
3
3
2
2
1
2
3
6
2
1
1
2
5
6
3
3
2
1
2
1
1
3
2
3
1
6
1
3
2
3
2
3
3
3
3
1
1
2
3
2
7
3
7
2
2
8
3
1
1
2
3
4
1
2
3
3
2
3
3
1
6
2
1
3
1
3
1
3
2
3
1
1
1
3
4
1
2
1
3
2
1
3
2
3
3
2
3
1
1
2
1
5
6
1
2
3
1
2
3
1
3
7
1
2
2
2
1
6
3
2
3
2
3
1
3
3
2
3
1
2
2
3
2
2
2
1
1
1
8
1
1
6
2
3
8
1
3
1
3
3
1
2
2
2
8
1
4
1
2
1
2
3
2
1
1
2
3
6
1
6
2
1
3
2
1
1
2
2
1
1
2
1
4
8
1
1
1
3
1
3
1
7
2
3
1
1
3
3
3
3
1
2
3
2
2
3
2
3
1
3
2
6
2
2
1
1
3
3
3
3
1
3
2
6
6
3
1
1
1
1
8
3
3
1
5
3
2
1
3
1
3
2
2
1
3
3
2
3
1
2
2
2
3
2
1
3
1
3
1
1
2
1
1
3
6
1
1
1
2
2
3
3
2
1
1
9
1
2
2
3
8
1
2
2
2
2
1
1
3
2
1
3
3
1
3
6
3
1
1
6
1
2
1
6
3
1
1
2
1
1
3
3
1
1
1
2
3
2
2
3
3
3
1
3
1
3
1
1
3
1
3
1
6
6
2
3
3
3
1
3
1
3
3
2
1
1
3
3
2
1
2
2
3
3
2
1
1
6
9
1
2
1
7
3
6
3
1
2
7
1
2
2
6
7
7
3
3
3
2
2
3
2
2
1
2
1
2
5
1
7
2
1
6
3
1
4
2
2
3
1
3
1
1
3
2
1
1
3
1
7
6
1
2
1
2
1
3
3
3
3
1
1
3
3
1
1
1
6
2
7
8
1
1
1
1
1
3
3
2
5
3
7
1
3
2
3
1
1
7
1
1
2
1
3
1
2
3
3
1
3
2
2
1
3
3
3
3
1
3
2
2
2
1
7
1
1
2
3
8
1
1
3
3
1
1
3
3
1
6
2
1
7
1
3
1
7
3
2
2
1
3
2
6
1
1
7
1
3
2
2
2
3
6
7
3
1
2
1
2
3
2
1
1
3
3
2
1
2
3
6
3
2
3
8
1
3
2
1
6
2
1
2
2
3
2
1
1
1
3
1
3
3
2
1
3
3
2
1
3
7
1
1
2
1
1
1
5
2
1
1
3
1
1
2
7
1
1
2
2
5
1
3
3
1
3
2
3
7
1
6
2
6
3
8
2
5
3
3
1
1
1
9
2
3
2
1
3
6
1
2
3
2
3
7
2
3
3
2
6
1
6
8
1
3
3
1
4
2
1
2
1
2
2
2
1
6
3
1
6
3
2
2
3
1
2
1
1
3
8
3
3
1
2
1
1
7
7
2
1
3
2
3
3
3
3
5
3
1
1
1
3
3
2
1
2
3
1
3
1
1
2
3
3
6
3
1
1
1
2
2
1
2
3
7
1
3
3
6
2
6
6
4
1
7
3
2
2
6
2
3
3
1
1
1
1
7
2
2
1
1
2
2
1
3
2
3
1
1
1
3
3
3
3
3
3
1
3
1
2
1
7
9
2
1
1
3
1
1
1
2
1
1
1
1
3
1
1
2
2
1
3
3
2
7
1
3
1
1
2
3
2
2
3
1
3
1
1
3
5
3
1
7
3
3
1
3
2
3
2
1
3
2
3
3
6
3
7
2
1
5
3
3
6
3
1
3
3
1
2
2
3
3
1
2
2
2
1
3
8
2
3
1
3
3
3
6
2
5
2
2
1
2
2
3
2
3
1
2
3
1
3
3
6
3
3
1
8
1
1
2
2
2
2
3
3
2
3
2
1
2
3
1
1
1
3
3
1
3
3
2
1
2
1
1
2
3
2
3
7
1
1
5
3
1
6
1
2
1
3
2
1
6
2
1
1
1
1
3
2
1
3
3
7
7
1
1
1
3
1
3
2
2
2
2
2
3
3
2
1
1
1
1
1
1
2
2
3
3
1
3
3
2
7
1
1
1
3
1
2
1
1
3
2
6
3
2
3
1
3
3
9
2
3
1
1
1
6
3
3
1
9
3
1
3
1
2
2
1
1
1
7
3
5
3
1
3
1
3
3
2
1
3
2
3
6
1
3
2
1
3
3
3
4
2
3
3
6
3
1
3
1
2
1
3
1
3
3
2
1
2
3
2
5
2
1
2
7
3
6
6
3
3
1
3
5
3
3
3
1
1
3
6
3
2
1
6
6
3
6
1
3
1
3
6
1
2
2
1
3
1
7
1
3
1
2
3
7
1
3
2
3
2
7
2
2
5
3
1
3
3
6
4
6
3
6
2
7
3
3
2
2
3
5
3
1
2
3
1
3
3
3
4
1
2
3
3
2
7
1
1
2
3
3
4
1
3
1
3
1
3
2
1
2
1
7
6
2
1
1
1
4
3
1
1
3
1
1
3
1
1
1
2
1
1
3
2
1
3
1
1
2
2
3
3
1
1
3
2
1
3
1
7
3
1
1
2
4
1
2
3
1
2
1
3
1
1
2
3
2
1
1
2
2
1
3
1
2
1
3
1
3
7
7
3
3
3
1
1
1
6
1
2
2
1
1
7
6
3
1
1
3
3
3
2
7
1
1
1
2
3
5
1
1
1
1
3
1
3
3
1
3
3
1
1
3
2
1
2
2
3
3
3
3
7
3
3
1
2
1
1
3
7
1
3
3
3
1
1
2
3
2
1
1
2
2
2
7
1
3
3
3
2
3
1
1
2
1
3
2
1
3
6
3
3
3
3
3
3
3
1
9
3
3
3
2
1
1
3
1
2
1
3
1
1
7
3
2
1
3
2
5
3
1
1
3
3
2
1
5
3
1
3
1
3
3
1
1
2
3
3
2
2
2
1
3
3
1
3
7
3
2
2
1
1
3
1
1
3
1
3
3
6
3
1
3
1
3
1
3
5
1
1
1
2
3
2
2
2
2
3
3
3
6
1
1
1
3
1
3
5
1
3
1
3
3
1
6
1
2
1
3
2
3
3
2
1
1
5
2
6
2
3
3
5
2
3
1
2
7
7
3
2
1
3
2
1
3
1
3
1
7
1
1
2
1
1
3
2
1
2
3
2
1
8
3
3
6
2
7
3
1
3
2
2
3
3
2
2
3
1
1
1
3
1
2
2
3
3
6
3
5
3
1
6
1
1
3
3
3
3
7
2
3
2
3
3
1
3
2
1
4
2
7
3
1
2
1
2
2
1
3
3
3
3
2
1
1
3
2
3
3
2
1
1
6
1
3
7
3
9
8
3
1
3
2
2
1
1
3
3
1
2
3
3
3
2
3
6
1
3
7
1
3
2
1
2
2
1
3
7
3
3
4
1
2
7
7
7
5
2
1
1
1
7
2
1
2
2
3
3
1
3
3
3
2
1
3
3
1
1
3
1
2
2
3
3
7
1
1
3
3
3
9
2
3
7
3
3
3
1
3
5
7
6
5
2
1
3
1
1
3
1
7
7
7
3
1
1
3
1
3
3
2
1
1
3
1
4
3
3
3
1
1
1
6
2
3
3
5
1
3
7
3
1
3
1
1
7
2
3
2
1
3
7
2
1
2
3
2
4
6
2
3
5
2
3
3
1
3
2
3
3
1
3
1
3
7
1
3
1
2
2
1
2
3
5
3
1
1
1
1
1
3
3
6
7
2
8
1
1
3
2
3
2
2
3
3
2
2
1
3
1
2
1
5
2
1
1
2
1
3
3
3
1
3
3
3
2
3
1
2
3
3
1
6
3
3
3
1
1
1
5
2
2
1
2
2
7
3
3
1
3
3
5
1
1
1
1
2
3
3
1
1
9
1
7
2
3
1
2
6
1
1
2
6
1
1
7
3
1
1
2
7
1
1
2
1
1
3
1
6
3
1
6
3
2
1
3
3
1
3
3
9
3
7
3
6
9
2
3
3
1
9
2
5
3
2
1
2
1
7
3
3
1
2
3
1
3
1
3
3
1
7
3
2
4
3
3
1
3
1
3
1
3
3
3
3
3
2
3
1
2
3
1
1
2
1
3
3
1
1
2
3
1
2
2
3
3
3
1
1
2
3
3
7
2
2
1
2
3
3
3
3
2
2
3
2
2
2
2
1
6
3
3
3
2
1
2
3
3
2
1
1
4
2
1
2
2
1
1
2
2
7
2
1
1
3
7
2
3
7
5
2
3
1
1
3
2
3
2
3
3
2
2
2
1
1
3
1
1
2
3
3
3
3
1
1
1
2
3
3
1
2
2
1
3
2
1
1
3
3
1
9
3
3
1
2
3
3
3
7
1
7
3
5
6
1
2
3
2
3
2
1
5
2
1
3
3
2
1
2
1
1
2
1
3
1
1
2
3
1
1
3
5
2
1
1
1
2
3
2
2
3
1
3
1
3
3
5
1
3
3
3
2
1
3
2
3
3
3
1
1
7
1
1
3
1
2
7
1
1
1
6
4
2
1
3
3
3
2
1
3
2
2
3
1
1
7
2
9
9
3
2
2
7
3
3
3
3
1
7
3
3
2
3
3
3
2
3
3
3
3
1
3
2
3
1
2
3
3
3
1
1
3
3
3
2
2
4
6
3
5
3
3
2
1
1
7
2
3
1
3
1
3
3
5
1
1
3
1
3
2
1
2
2
3
1
3
1
1
2
2
1
2
1
5
3
2
7
2
3
1
1
3
8
3
1
2
1
3
1
7
2
1
1
3
2
3
1
3
1
7
3
3
3
1
2
3
2
5
3
1
1
1
3
1
3
2
1
2
3
3
3
1
1
1
1
1
3
1
1
5
1
1
1
3
1
1
2
3
2
2
3
2
6
3
7
3
1
1
3
3
1
1
2
3
3
1
3
2
1
3
1
1
3
7
2
7
1
1
3
3
3
7
3
2
2
1
3
1
2
2
1
2
6
3
2
1
2
2
5
3
1
3
1
7
1
1
3
8
1
3
3
6
2
1
1
2
1
1
2
5
3
3
3
2
2
1
2
1
3
3
3
1
6
1
1
6
2
7
1
3
1
8
2
3
3
3
2
1
1
1
3
1
3
3
3
1
6
2
1
2
3
3
3
3
1
4
1
1
2
3
9
1
3
1
1
1
2
1
2
3
1
1
7
7
7
3
3
3
7
3
3
7
2
9
7
3
3
3
1
1
9
1
1
1
1
3
1
2
1
2
2
2
3
2
1
1
2
3
2
1
2
6
7
2
2
7
3
3
3
3
1
3
1
1
4
3
1
1
3
3
6
8
2
1
1
1
3
3
1
8
2
1
2
1
2
3
1
3
3
1
1
2
1
1
2
1
3
1
1
1
3
3
7
1
1
3
2
2
1
3
1
3
7
3
2
1
1
3
2
1
1
7
7
6
1
1
1
3
1
3
2
3
2
5
1
3
2
8
3
1
3
1
1
3
3
3
2
1
2
2
1
2
3
3
3
1
5
1
1
6
2
3
2
1
1
3
1
1
1
2
2
2
3
3
2
2
2
1
1
1
3
1
3
1
1
1
3
1
3
1
2
3
6
7
1
1
3
3
2
7
1
2
1
1
3
3
1
3
3
1
1
6
1
3
4
2
2
3
1
3
1
1
3
7
3
1
1
5
3
9
3
1
1
1
1
3
3
1
2
1
1
3
2
1
3
3
1
3
1
1
3
2
1
6
5
3
3
3
4
1
3
1
3
2
2
3
1
1
3
2
3
3
2
3
1
7
2
2
3
1
2
3
3
3
1
3
3
7
7
3
1
1
3
1
3
3
1
1
1
1
1
3
6
3
1
1
2
1
1
2
7
2
3
3
1
6
1
7
1
2
6
3
1
1
2
7
2
3
6
2
6
1
3
3
1
3
1
3
2
3
2
1
1
6
3
2
3
3
2
2
2
6
1
1
1
3
1
1
1
1
8
3
3
2
2
1
3
3
2
3
1
3
1
3
3
2
1
2
2
3
1
3
1
2
2
2
3
7
1
3
9
8
6
1
3
2
3
2
3
3
5
2
3
2
1
6
2
1
2
2
3
7
3
2
2
1
6
1
1
7
1
3
1
3
1
1
1
1
3
2
3
2
1
1
3
1
1
8
2
3
1
3
8
1
1
2
1
1
3
2
3
3
2
1
3
7
1
1
6
2
3
2
1
3
2
3
2
3
2
3
6
3
1
2
1
3
5
3
1
2
2
1
3
2
3
3
2
7
3
2
3
1
2
7
1
7
1
2
3
1
1
3
1
1
1
3
3
1
1
1
2
2
1
1
3
1
2
2
2
1
2
3
7
3
1
1
3
1
7
1
5
4
2
1
2
1
2
1
2
2
2
2
1
3
1
3
1
3
3
3
1
1
2
5
3
4
3
1
1
1
6
1
8
3
1
2
3
2
3
1
3
3
2
3
3
2
5
2
2
3
2
1
2
5
3
1
6
3
3
2
2
5
3
7
6
3
1
3
1
3
7
5
3
3
1
3
3
8
1
3
3
3
1
3
2
1
1
2
3
3
3
1
1
5
2
2
3
2
1
1
1
3
3
3
1
3
2
1
3
2
3
1
3
2
9
1
1
1
3
1
7
1
1
1
3
1
2
3
1
3
3
2
2
3
3
3
2
6
1
3
3
6
1
2
3
6
2
1
1
1
2
3
3
3
1
1
3
8
2
3
7
3
1
3
1
1
6
6
1
1
3
1
2
1
1
1
1
1
3
2
1
2
3
3
2
1
3
1
3
3
1
1
7
3
2
3
3
3
3
3
1
2
3
5
2
1
3
1
1
3
2
6
3
2
1
8
3
2
6
1
3
2
3
3
1
2
1
6
2
3
3
1
2
2
1
1
2
3
2
3
3
3
1
1
3
5
1
2
1
1
3
2
3
1
3
1
1
5
1
3
1
1
2
1
1
2
1
1
3
3
1
1
2
2
1
2
1
1
1
6
1
1
7
1
2
1
2
3
1
3
3
9
2
3
1
2
1
3
3
3
1
1
1
1
2
2
7
1
1
3
1
6
3
1
2
3
1
5
1
1
1
2
2
1
1
2
1
3
3
6
7
1
1
5
3
3
1
3
1
1
2
3
3
1
2
3
1
2
3
7
2
3
3
3
1
7
1
3
2
1
3
2
2
3
1
1
1
2
3
3
6
1
4
3
1
2
3
7
2
2
2
3
1
1
2
3
5
1
2
1
3
3
3
3
1
1
2
1
1
2
1
3
3
3
2
8
3
7
3
1
3
3
3
3
3
3
3
1
7
1
1
3
3
3
3
1
1
1
7
3
3
6
3
1
7
1
2
1
1
8
1
2
3
3
1
7
2
1
3
1
3
6
3
1
3
2
2
2
2
3
9
3
1
1
2
1
3
1
5
1
7
3
1
1
1
3
1
6
1
1
3
1
1
1
3
8
1
1
3
3
3
1
2
3
7
3
3
1
1
1
3
3
3
1
7
1
1
3
3
1
3
4
3
2
1
6
2
1
2
3
9
1
2
2
2
3
1
3
3
3
1
3
2
6
2
3
1
6
2
1
3
1
1
5
3
2
1
2
2
7
2
3
3
3
1
6
7
2
5
2
1
3
3
3
1
1
7
7
1
1
3
2
2
6
3
1
1
2
3
1
1
3
2
2
7
1
6
1
3
4
1
3
1
1
3
1
3
3
1
2
1
1
1
2
2
2
6
3
3
1
3
2
1
2
1
3
3
7
3
3
7
1
3
2
2
1
3
3
3
3
7
1
1
1
1
2
3
1
2
3
3
6
6
2
3
3
6
6
3
2
7
3
3
1
3
2
1
1
3
3
1
3
1
2
3
1
2
5
3
7
1
1
2
3
1
3
3
3
1
1
3
7
1
2
7
2
1
2
1
7
2
2
2
8
3
6
1
3
2
8
1
3
1
3
7
3
3
1
1
3
3
3
3
3
3
1
2
2
3
1
2
1
2
3
1
1
1
3
2
1
3
3
1
2
1
1
6
1
1
2
1
5
2
1
3
3
6
1
2
1
3
3
2