Poj 1050 分类： Translation Mode 2014-04-04 09:31 103人阅读 评论(0) 收藏

To the Max

Time Limit: 1000MS		Memory Limit: 10000K
Total Submissions: 39058		Accepted: 20629

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

题目大意：

给定一个包含正负数的二维矩阵，子矩阵是任何连续大小大于或等于1*1的子阵的整个数组，这个矩阵的和就等于矩阵中所有元素之和，和最大的子矩阵被称为最大矩阵。

也就是让你输出最大矩阵的和

推荐：http://acm.nyist.net/JudgeOnline/problem.php?pid=104