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:
The answer is <code>2</code>. Because the sum of rectangle <code>[[0, 1], [-2, 3]]</code> is 2 and 2 is the max number no larger than k (k = 2).
Note:
The rectangle inside the matrix must have an area > 0.
What if the number of rows is much larger than the number of columns?
Credits:
解法一:
解法二: