시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

상근이는 이상하게 정사각행렬을 아름답다고 생각한다. 상근이는 행렬이 얼마나 아름다운지를 수치로 나타낸다.

A를 행렬의 주 대각선 성분의 합이라고 하자. 또, B는 또다른 대각선 성분의 합이라고 하자. 이때, 행렬의 아름다운 정도는 A-B가 된다.

N×N크기의 행렬이 주어졌을 때, 아름다운 정도가 가장 큰 부분 행렬을 구하는 프로그램을 작성하시오.

주 대각선은 행렬의 가장 왼쪽 위에서 시작하는 대각선이다.

입력

첫째 줄에 행렬의 크기 N이 주어진다. (2 ≤ N ≤ 400) 다음 N개의 줄에는 행렬의 성분이 공백으로 구분되어 주어진다. 각 성분은 [-1000,1000] 범위 안에 들어있다.

출력

첫째 줄에 입력으로 주어진 행렬의 부분 행렬 중 아름다운 정도가 가장 큰 것의 아름다운 정도를 출력한다.

예제 입력 1

2 
1 -2
4 5

예제 출력 1

4

예제 입력 2

3
1 2 3
4 5 6
7 8 9

예제 출력 2

0

예제 입력 3

3
-3 4 5
7 9 -2
1 0 -6

예제 출력 3

5
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출처

Contest > Croatian Open Competition in Informatics > COCI 2011/2012 > Contest #1 2번

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