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高中的排列组合,插空法。。。还记得否???没想到在这里能用上。。。#include <stdio.h>
#include <memory.h>
__int64 v[50][50];
__int64 c(int m,int n)
{
if(n==0||m==n)return 1;
else if(n==1)return m;
else
{
if(v[m][n]==-1)
v[m][n]=c(m-1,n)+c(m-1,n-1);
return v[m][n];
}
}
int main()
{
int cases ,n,a,b,i,w=0;
__int64 sum=0;
scanf("%d",&cases);
while (cases--)
{
w++;
memset(v,-1,sizeof(v));
sum=0;
scanf("%d",&n);
a=(int)((n+1)/2);
for(i=0;i<=a;i++)
{
b=n-i+1;
sum=sum+c(b,i);
}
printf("Scenario #%d:\n",w);
printf("%I64d\n",sum);
if(cases>0)printf("\n");
}
return 0;
}
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