docs(docs): add documentation page for 74. Search a 2D Matrix problem

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Prad Nukala
2026-08-26 14:29:11 -04:00
parent 6df1e0e620
commit bb8aa00175
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---
title: '74. Search a 2D Matrix'
description: 'You are given an m x n integer matrix matrix with the following two properties:'
sidebar:
label: 'Search a 2D Matrix'
badge: 'Medium'
---
<Badge variant="accent">Binary Search</Badge>
::::warning
You must write a solution in O(log(m * n)) time complexity.
::::
### 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`
- `-10^4 <= matrix[i][j], target <= 10^4`
## Solution
```py
class Solution:
def searchMatrix(self, matrix: List[List[int]], target: int) -> bool:
ROWS, COLS = len(matrix), len(matrix[0])
top, bot = 0, ROWS - 1
while top <= bot:
row = (top + bot) // 2
if target > matrix[row][-1]:
top = row + 1
elif target < matrix[row][0]:
bot = row - 1
else:
break
if not (top <= bot):
return False
row = (top + bot) // 2
l, r = 0, COLS - 1
while l <= r:
m = (l + r) // 2
if target > matrix[row][m]:
l = m + 1
elif target < matrix[row][m]:
r = m - 1
else:
return True
return False
```