JuniorArrayMath

Range Addition II

You are given an m x n matrix M initialized with all 0s and an array of operations ops, where ops[i] = [ai, bi] means M[x][y] should be incremented by one for all 0 <= x < ai and 0 <= y < bi.

Count and return the number of maximum integers in the matrix after performing all the operations.

Example 1
Inputm = 3, n = 3, ops = [[2,2],[3,3]]
Output4
The maximum integer in M is 2, and there are four of it in M, so return 4.
Example 2
Inputm = 3, n = 3, ops = [[2,2],[3,3],[3,3],[3,3],[2,2],[3,3],[3,3],[3,3],[2,2],[3,3],[3,3],[3,3]]
Output4
The cells in the top-left 2 x 2 area are included in every smallest overlapping operation range, so there are 4 maximum integers.

Constraints

  • 1 <= m, n <= 4 * 10^4
  • 0 <= ops.length <= 10^4
  • ops[i].length == 2
  • 1 <= ai <= m
  • 1 <= bi <= n

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