Write an efficient algorithm that searches for a value target in an m x n integer matrix matrix. This matrix has the following properties:
Integers in each row are sorted from left to right.
The first integer of each row is greater than the last integer of the previous row.
Example 1:
Input: matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 3
Output: true
Example 2:
Input: matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 13
Output: false
Constraints:
m == matrix.length
n == matrix[i].length
1 <= m, n <= 100
-104 <= matrix[i][j], target <= 104
class Solution:
def searchMatrix(self, matrix: List[List[int]], target: int) -> bool:
n=len(matrix)*len(matrix[0])
start=0
end=n-1
while start<=end:
mid=(start+end)//2
row=mid//len(matrix[0])
column=mid%len(matrix[0])
if matrix[row][column]==target:
return True
elif matrix[row][column]>target:
end-=1
else:
start+=1
return False
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