zzuli 1868: UP UP UP!(dp)

严格上升子序列个数;

#include <cstdio>
#include <cstring>
#define N 110
typedef long long LL;
LL a[N], dp[N][N];
const int MOD = 1000000000 + 7;
//dp[i][j] 以i结尾长度为j的严格递增子序列长度 ; 
int main()
{
    int Q =1;
    int t; scanf("%d", &t);
    while(t--)
    {
        int n, m;
        scanf("%d%d", &n, &m); 
        for(int i=1; i<= n; i++)
        {
            scanf("%lld", &a[i]); 
        }
        memset(dp, 0, sizeof(dp));        
        for(int i=1; i<=n; i++)   //感觉像是打表; 
        {
            dp[i][1]= 1;
            for(int j=1; j<= i; j++)
            {
                for(int k=1; k< i; k++)
                {
                    if(a[k] <a[i])
                        dp[i][j]=(dp[i][j]+dp[k][j-1])%MOD;
                }
            }
        }
        LL ans=0;
        for(int i=1; i<= n; i++)
        {
            ans=(ans+ dp[i][m]) %MOD; 
        }
        
        printf("Case #%d: %lld\n", Q++, ans);
    }
    return 0;
}

 

转载于:https://www.cnblogs.com/soTired/p/5410544.html