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363. Max Sum of Rectangle No Larger Than K 最大矩阵和不超过K #55

Open GH1995 opened 5 years ago

GH1995 commented 5 years ago

363. Max Sum of Rectangle No Larger Than K

Difficulty: Hard

Given a non-empty 2D matrix matrix and an integer k, find the max sum of a rectangle in the matrix such that its sum is no larger than k.

Example:

Input: matrix = [[1, 0,  1],
                 [0, -2, 3]], k = 2
Output: 2 
Explanation: Because the sum of rectangle [[0, 1], 
                                          [-2, 3]] is 2,
             and 2 is the max number no larger than k (k = 2).

Note:

  1. The rectangle inside the matrix must have an area > 0.
  2. What if the number of rows is much larger than the number of columns?