题意:给出n*m网格中每个格子有A,B两种矿,A矿必须从右向左运输,B矿必须从下往上运输,管子不能拐弯或者折断,要求收集到的A,B矿的总量尽量大
思路:对于每个格子不是安A就是B矿的管道,所以只有两个选择。
所以dp[i][j]=max(dp[i][j-1]+b[i][j],dp[i-1][j]+a[i][j]),其中a[i][j],b[i][j]分别代表从右往左和从下往上运输方式的前j,前i的总矿数
#include <iostream> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; const int MAXN = 505; int a[MAXN][MAXN],b[MAXN][MAXN],dp[MAXN][MAXN]; int n,m; int main(){ while (scanf("%d%d",&n,&m) != EOF && n+m){ memset(a,0,sizeof(a)); memset(b,0,sizeof(b)); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++){ scanf("%d",&a[i][j]); a[i][j] += a[i][j-1]; } for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++){ scanf("%d",&b[i][j]); b[i][j] += b[i-1][j]; } memset(dp,0,sizeof(dp)); int ans = 0; for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) dp[i][j] = max(dp[i-1][j]+a[i][j],dp[i][j-1]+b[i][j]); printf("%d\n",dp[n][m]); } return 0; }