WOJ1185-Apples
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Little Ginger got an assignment from her teacher: how many ways are there to put 4 apples in 2 baskets. There are no differences between apples and baskets. It?s easy for Ginger to solve, since she can enumerate all the cases, which are {0, 4}, {1, 3} and {2, 2}.
How about we crank it up a notch? Now, there are M apples and N baskets, (N and M won?t exceed 100), how many ways are there?
输入格式
Multiple input cases! Two positive integers M and N in a single line for each case.
输出格式
Print the answer in a single line.
样例输入
6 43 2
样例输出
92
预处理出所有的结果,直接查表即可。
#include<stdio.h>int dp[101][101];int main(){int i,j;for(i=0;i<101;i++)dp[0][i]=1;for(i=0;i<101;i++)dp[1][i]=1;for(i=2;i<101;i++)dp[i][0]=1;for(i=2;i<101;i++)dp[i][1]=1;for(i=2;i<101;i++)for(j=2;j<101;j++)if(i>=j) dp[i][j]=dp[i-j][j]+dp[i][j-1];elsedp[i][j]=dp[i][i]; /*for(i=1;i<=10;i++){for(j=1;j<=10;j++)printf("%d ",dp[i][j]);printf("\n");}*/while(scanf("%d %d",&i,&j)==2){printf("%d\n",dp[i][j]);}return 0;}
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