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Home » Compete » Quark 2010 » THE GAME

THE GAME

Problem code: QCJ6

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Tom and Hanks play the following game. On a game board having a line of squares labelled from 0,1,2 ... certain number of coins are placed with possibly more than one coin on a single square. In each turn a player can move exactly one coin to any square to the left i.e, if a player wishes to remove a coin from square i, he can then place it in any square which belongs to the set (0,1, ... i-1) . Given the description of the board and also assuming that Tom always makes the first move you have tell who wins the game (Assuming Both play Optimally).

Input

The first line will contain N the number of test cases and then 2N lines follow. For each test case the first line will have S the size of the board and in the next line S integers follow. The ith integer gives the the number of coins in the ith square. Atleast one of the S integers will be non zero. All the numbers in the input will be less than 25.

Output

For each test case output one line containing either "Tom Wins" or "Hanks Wins".

Example

Input:
2
1
1
1
2

Output:
Tom Wins
Hanks Wins


Author: abhijith
Date Added: 29-01-2010
Time Limit: 2 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


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Comments

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Game ends when all coints are

abhijith @ 31 Jan 2010 03:14 PM

Game ends when all coints are on square 0

for the second case how can

thtsarjun @ 31 Jan 2010 04:08 PM

for the second case how can you justify the o/p Hanks Win ?? There are no moves rt when only 1 square is there and all the coins are there in 0 square itself how can u say who wins ??

 

Beacuse there is no move when all the coins are already in 0 square.

 

In that case Tom should win both the games.

can any one tell me winning

sandeshreddy @ 31 Jan 2010 04:14 PM

can any one tell me winning condition plzzzz

What is the winning

raghavsethi @ 31 Jan 2010 04:27 PM

What is the winning criteria??

what does optimal play mean?

ankushchadda @ 31 Jan 2010 04:31 PM

what does optimal play mean?

@admin: What is the winning

jenishc @ 31 Jan 2010 05:04 PM

@admin: What is the winning criteria?????

Read my first comment ! -> "

abhijith @ 31 Jan 2010 05:16 PM

Read my first comment ! -> " Game ends when all coints are on square 0"

*coins

abhijith @ 31 Jan 2010 05:16 PM

*coins

rather, Winner is the one who

flying_ant @ 31 Jan 2010 06:21 PM

rather, Winner is the one who moves the last coin on non-zero index to zero, thus leaving no chance of any moves to the other payer.

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