## Welcome To SDIBT ACM-ICPC Online Judge

VIRTUAL JUDGE Recent Contest F.A.Qs Forum Home ProblemSet Status Ranklist Contest LoginRegister Exam
Problem 3279. -- Euclid's Game

## Euclid's Game

Time Limit: 1 Sec  Memory Limit: 64 MB
Submit: 113  Solved: 45
[Submit][Status][Forum]

## Description

Two players, Stan and Ollie, play, starting with two natural numbers. Stan, the first player, subtracts any positive multiple of the lesser of the two numbers from the greater of the two numbers, provided that the resulting number must be nonnegative. Then Ollie, the second player, does the same with the two resulting numbers, then Stan, etc., alternately, until one player is able to subtract a multiple of the lesser number from the greater to reach 0, and thereby wins. For example, the players may start with (25,7):

25 7

11 7

4 7

4 3

1 3

1 0

an Stan wins.

## Input

The input consists of a number of lines. Each line contains two positive integers giving the starting two numbers of the game. Stan always starts.

## Output

For each line of input, output one line saying either Stan wins or Ollie wins assuming that both of them play perfectly. The last line of input contains two zeroes and should not be processed.

```34 12
15 24
0 0```

## Sample Output

```Stan wins
Ollie wins```

## Source

[Submit][Status][Forum]

HOME Back

한국어 中文 English
All Copyright Reserved 2008-2010 SDIBT TEAM
GPL2.0 2003-2010 HUSTOJ Project TEAM