CF Gym 100500H ICPC Quest

题意:给一个nXm的矩阵,上面有一些数字,从左上角出发,每次只能往右或者往下,把沿途的数字加起来,求到达右下角的最大值是多少。

题解:简单的一个dp,设f[i][j]为到达i行j列的最大值,f[i][j] = max(f[i-1][j],f[i][j-1])+a[i][j],然后用队列刷个表就行了。

#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
typedef long long ll;
//#define local
#define fi first
#define se second
const int maxn = 1005;

int f[maxn][maxn];
int a[maxn][maxn];
int main()
{
    int T;
    scanf("%d",&T);
    for(int k = 1; k <= T; k++) {
        int n,m;
        scanf("%d%d",&n,&m);
        for(int i = 0; i < n; i++){
            for(int j = 0; j < m; j++){
                scanf("%d",a[i]+j);
            }
        }
        queue< pair<int,int> > q;
        memset(f,0x80,sizeof(f));
        q.push(make_pair(0,0));
        f[0][0] = a[0][0];
        while(q.size()){
            pair<int,int> &u = q.front();
            int r = u.fi, c = u.se;
            if(r<n && f[r+1][c]<f[r][c]+a[r+1][c]) f[r+1][c] = f[r][c]+a[r+1][c],q.push(make_pair(r+1,c));
            if(c<m && f[r][c+1]<f[r][c]+a[r][c+1]) f[r][c+1] = f[r][c]+a[r][c+1],q.push(make_pair(r,c+1));
            q.pop();
        }
        printf("Case %d: %d\n",k,f[n-1][m-1]);
    }
    return 0;
}
时间: 2024-11-05 12:23:25

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