题目链接:hdu 4826 Labyrinth
题目大意:中文题。
解题思路:不难想的递推,dp[i][j][0]从上面过来的情况,dp[i][j][1]从下面过来的情况,然后这两种情况都可以从前一列走过来。
#include
#include
#include
using namespace std; const int N = 105; const int INF = 0x3f3f3f3f; int n, m, g[N][N], dp[N][N][2]; void init () { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) for (int j = 1; j <= m; j++) scanf("%d", &g[i][j]); } int solve () { for (int i = 1; i <= m; i++) dp[0][i][0] = dp[n+1][i][1] = -INF; dp[0][1][0] = 0; for (int i = 1; i <= n; i++) { dp[i][1][0] = dp[i-1][1][0] + g[i][1]; dp[i][1][1] = -INF; } for (int j = 2; j <= m; j++) { for (int i = 1; i <= n; i++) dp[i][j][0] = max(dp[i-1][j][0], max(dp[i][j-1][0], dp[i][j-1][1])) + g[i][j]; for (int i = n; i >
= 1; i--) dp[i][j][1] = max(dp[i+1][j][1], max(dp[i][j-1][0], dp[i][j-1][1])) + g[i][j]; } return max(dp[1][m][0], dp[1][m][1]); } int main () { int cas; scanf("%d", &cas); for (int i = 1; i <= cas; i++) { init (); printf("Case #%d:\n%d\n", i, solve()); } return 0; }