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1、
2、题目大意:
给n个石子,有m种取法,每次可以取m堆中的某一堆,Stan先取,Ollie再取,谁取到最后一个石子,谁获胜,最后输出获胜者即可
乍一看挺简单,不过还是没想出来怎么做,看网上的代码
dp[i]表示当前剩余i个石子时Stan的获胜状态,1表示获胜,0表示输了,
状态转移方程:if(i>=stone[j] && dp[i-stone[j]]==0) dp[i]=1;
3、题目:
Bachet's game is probably known to all but probably not by this name. Initially there are n stones on the table. There are two players Stan and Ollie, who move alternately. Stan always starts. The legal moves consist in removing at least one but not more thank stones from the table. The winner is the one to take the last stone.
Here we consider a variation of this game. The number of stones that can be removed in a single move must be a member of a certain set of m numbers. Among the m numbers there is always 1 and thus the game never stalls.
The input consists of a number of lines. Each line describes one game by a sequence of positive numbers. The first number isn <= 1000000 the number of stones on the table; the second number is m <= 10 giving the number of numbers that follow; the last m numbers on the line specify how many stones can be removed from the table in a single move.
For each line of input, output one line saying either Stan winsor Ollie wins assuming that both of them play perfectly.
20 3 1 3 821 3 1 3 822 3 1 3 823 3 1 3 81000000 10 1 23 38 11 7 5 4 8 3 13999996 10 1 23 38 11 7 5 4 8 3 13
Stan winsStan winsOllie winsStan winsStan winsOllie wins
Problem Setter: Piotr Rudnicki
4、
#include#include int stone[15];int dp[1000005];int main(){ int n,m; while(scanf("%d%d",&n,&m)!=EOF) { for(int i=0;i =stone[j] && dp[i-stone[j]]==0) { dp[i]=1; break; } } } if(dp[n]==1) printf("Stan wins\n"); else printf("Ollie wins\n"); } return 0;}
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