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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.
class Solution:
def searchMatrix(self, matrix, target):
"""
:type matrix: List[List[int]]
:type target: int
:rtype: bool
"""
if matrix == None or len(matrix) == 0 or len(matrix[0]) == 0:
return False
row, col = 0, len(matrix[0]) - 1
while row < len(matrix) and col >= 0:
curt = matrix[row][col]
if curt < target:
row +=1
elif curt > target:
col -= 1
else:
return True
return False
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