题目地址:http://acm.nyist.net/JudgeOnline/problem.php?pid=715

思路:dp[i][j][k],i为位数,j为和,k为最后一位是啥

AC代码:

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <stack>
#include <map>
#include <cstring>
#include <climits>
#include <cmath>
#include <cctype>

const int inf = 0x7f7f7f7f;//2139062143
typedef long long ll;
using namespace std;

ll dp[110][110][2];

int main()
{
int t;
dp[1][0][1] = dp[1][0][0] = 1;
for(int i=2; i<=100; i++)
{
dp[i][0][0] = dp[i-1][0][0] + dp[i-1][0][1];
dp[i][0][1] = dp[i-1][0][0];
for(int j=1; j<i; j++)
{
dp[i][j][0] = dp[i-1][j][1] + dp[i-1][j][0];
dp[i][j][1] = dp[i-1][j][0] + dp[i-1][j-1][1];
}
}
scanf("%d",&t);
while(t--)
{
int n,p;
scanf("%d%d",&n,&p);
ll sum = dp[n][p][0] + dp[n][p][1];
printf("%I64d\n",sum);
}
return 0;
}