POJ1050 To the Max
来源:互联网 发布:编导艺考必看影片 知乎 编辑:程序博客网 时间:2024/05/01 09:42
Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 41840 Accepted: 22218
Description
Given a two-dimensional array of positive and negative integers, a sub-rectangle is any contiguous sub-array of size 1*1 or greater located within the whole array. The sum of a rectangle is the sum of all the elements in that rectangle. In this problem the sub-rectangle with the largest sum is referred to as the maximal sub-rectangle.
As an example, the maximal sub-rectangle of the array:
0 -2 -7 0
9 2 -6 2
-4 1 -4 1
-1 8 0 -2
is in the lower left corner:
9 2
-4 1
-1 8
and has a sum of 15.
Input
The input consists of an N * N array of integers. The input begins with a single positive integer N on a line by itself, indicating the size of the square two-dimensional array. This is followed by N^2 integers separated by whitespace (spaces and newlines). These are the N^2 integers of the array, presented in row-major order. That is, all numbers in the first row, left to right, then all numbers in the second row, left to right, etc. N may be as large as 100. The numbers in the array will be in the range [-127,127].
Output
Output the sum of the maximal sub-rectangle.
Sample Input
4
0 -2 -7 0 9 2 -6 2
-4 1 -4 1 -1
8 0 -2
Sample Output
15
Source
Greater New York 2001
#include <stdio.h>#include <string.h>#define maxn 110int N, g_result;int G[maxn][maxn];int max(int a, int b) { return a > b ? a : b; }void solve(const int *numbers){ int result = numbers[1]; int currentSum = result; for (int i = 2; i <= N; ++i) { if (currentSum < 0) currentSum = 0; currentSum += numbers[i]; result = max(result, currentSum); } g_result = max(g_result, result);}int main(){ freopen("data.in", "r", stdin); while (~scanf("%d", &N)) { for (int i = 1; i <= N; ++i) for (int j = 1; j <= N; ++j) scanf("%d", &G[i][j]); g_result = G[1][1]; for (int i = 1; i <= N; ++i) { solve(G[i]); for (int j = i + 1; j <= N; ++j) { for (int k = 1; k <= N; ++k) G[i][k] += G[j][k]; solve(G[i]); } } printf("%d\n", g_result); } return 0;}
- POJ1050 To the Max
- POJ1050 To the Max
- POJ1050 To the Max
- poj1050 to the max
- poj1050 To the Max
- poj1050 To the Max
- POJ1050--To the Max
- POJ1050 To the Max
- poj1050 To the Max
- poj1050:to the max
- POJ1050 To the Max
- POJ1050 To the Max
- 【poj1050】 To the Max
- POJ1050-To the Max
- poj1050 to the Max
- POJ1050 TO THE MAX
- POJ1050 HDOJ1081 TO THE MAX
- DP::Poj1050 To the max
- 用企业版证书,发布in house app
- Python3.4 验证码识别
- 纵向 及纵向一体化简介
- 关于排列组合问题的基础补充
- 郭广昌:有些事情我始终认为马云是错的
- POJ1050 To the Max
- 10 个很棒的 jQuery 代码片段
- 怎么确定一个变量的类型
- hdu,2050,折线分割平面
- 学术休假---100~999中的水仙花数
- 游戏服务器构架优秀文章(转载)
- Java - Warning: Unchecked cast from object to array list
- Max Points on a Line
- Maven学习笔记(八)Maven的入门使用—2.编写主代码