pku 2029 Get Many Persimmon Trees DP
http://poj.org/problem?id=2029
二维树状数组解法:http://www.cnblogs.com/E-star/archive/2012/07/30/2615239.html
题意:
给定一个W*H的矩形方格,然后给出n个柿子树所在矩形小方格的坐标,然后给你一个dx*dy的小矩形,求用此小矩形能够框住的最多的柿子树的个数;
思路:
dp[i][j] 存储从[0,0]到[i,j]的和,然后暴力枚举即可:
View Code
#include <cstdio> #include <iostream> #include <cstring> #include <algorithm> #define CL(a,num) memset(a,num,sizeof(a)) #define maxn 107 #define N 8 using namespace std; const int inf = 99999999; int dp[maxn][maxn]; int row,col,n; int main() { //freopen("din.txt","r",stdin); int i,j; int x,y,dx,dy; while (~scanf("%d",&n)) { if (n == 0) break; CL(dp,0); scanf("%d%d",&row,&col); for (i = 0; i < n; ++i) { scanf("%d%d",&x,&y); dp[x][y] = 1; } for (i = 1; i <= row; ++i) { for (j = 1; j <= col; ++j) { dp[i][j] += dp[i - 1][j] + dp[i][j - 1] - dp[i - 1][j - 1]; } } scanf("%d%d",&dx,&dy); int sum = -inf; for (i = 1; i + dx - 1 <= row; ++i) { for (j = 1; j + dy - 1 <= col; ++j) { int x2 = i + dx - 1; int y2 = j + dy - 1; int x1 = i,y1 = j; int tmp = dp[x2][y2] - dp[x2][y1 - 1] - dp[x1 - 1][y2] + dp[x1 - 1][y1 - 1]; sum = max(sum,tmp); } } printf("%d\n",sum); } return 0; }