0240. Search a 2D Matrix II

240. Search a 2D Matrix II

Topics

• Array
• Binary Search
• Divide and Conquer
• Matrix

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

• Integers in each row are sorted in ascending from left to right.
• Integers in each column are sorted in ascending from top to bottom.  

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