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  • hdu 1525

    Euclid's Game

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
    Total Submission(s): 2193    Accepted Submission(s): 981


    Problem 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. 

     
    Sample Input
    34 12 15 24 0 0
     
    Sample Output
    Stan wins Ollie wins
     
    Source
     
    a>b 
     
    其中 先手必胜状态,有 b==0 ,a/b>=2,a%b==0
    #include<iostream>
    #include<cstdio>
    #include<cstring>
    #include<cmath>
    #include<string>
    #include<algorithm>
    #include<cstdlib>
    using namespace std;
    int a,b;
    int main()
    {
          while(scanf("%d%d",&a,&b)!=EOF)
          {
                if(a==0&&b==0)
                      break;
                if(a<b) swap(a,b);
                bool flag=true;
                while(1)
                {
                      if(b==0||a%b==0||a/b>=2)
                            break;
                      int t=b;
                      b=a-b;
                      a=t;
                      flag=!flag;
                }
                if(flag)
                {
                      printf("Stan wins
    ");
                }
                else
                      printf("Ollie wins
    ");
          }
          return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/a972290869/p/4229868.html
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