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Write an efficient algorithm that searches for a value in an m x n matrix. This 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:

Consider the following 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]
]
Given target = 5, return true.

Given target = 20, return false.

My code:

class Solution(object):
    def searchMatrix(self, matrix, target):
        """
        :type matrix: List[List[int]]
        :type target: int
        :rtype: bool
        """
        m=len(matrix)
        if m==0:
            return False
        example=matrix[0]
        n=len(example)
        if n==0:
            return False
        for i in range(m):
            if matrix[i][0]>target or matrix[i][n-1]<target:
                continue
            for j in range(n):
                if matrix[i][j]==target:
                    return True
        return False
        

Solution: https://leetcode.com/problems/search-a-2d-matrix-ii/