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It can be solve in O(n2) time per testcase if you something similar to two pointers instead of binary search. Let me explain:
At each position we try to increase the answer as much as possible (that is, as long as the 1 larger submatrix still has sum ≤ w). Now notice that the answer can only increase n times — so the whole thing is O(n2) (using prefix sums as you did).
Here's my AC code: link
Thanks. I got it.
That is really AC code?