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Search a 2D Matrix II

Write an efficient algorithm that searches for a value target in an m x n integer matrix matrix.

Write an efficient algorithm that searches for a value target in an m x n integer matrix matrix. This matrix has the following properties:

Search a 2D Matrix II diagram

Example 1

Input: matrix = [[1,4,7,11,15],[2,5,8,12,19],[3,6,9,16,22],[10,13,14,17,24],[18,21,23,26,30]], target = 5

Output: true

Example 2

Input: matrix = [[1,4,7,11,15],[2,5,8,12,19],[3,6,9,16,22],[10,13,14,17,24],[18,21,23,26,30]], target = 20

Output: false

Constraints

  • m == matrix.length
  • n == matrix[i].length
  • 1 <= n, m <= 300
  • -10^9 <= matrix[i][j] <= 10^9
  • All the integers in each row are sorted in ascending order.
  • All the integers in each column are sorted in ascending order.
  • -10^9 <= target <= 10^9

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