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Link for the Problem – Search a 2D Matrix– LeetCode Problem
Search a 2D Matrix– LeetCode Problem
Problem:
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 from left to right.
- The first integer of each row is greater than the last integer of the previous row.
Example 1:
![Search a 2D Matrix LeetCode Programming Solutions | LeetCode Problem Solutions in C++, Java, & Python [💯Correct] 2 mat](https://assets.leetcode.com/uploads/2020/10/05/mat.jpg)
Input: matrix = [[1,3,5,7],[10,11,16,20],[23,30,34,60]], target = 3 Output: true
Example 2:
![Search a 2D Matrix LeetCode Programming Solutions | LeetCode Problem Solutions in C++, Java, & Python [💯Correct] 3 mat2](https://assets.leetcode.com/uploads/2020/10/05/mat2.jpg)
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
Search a 2D Matrix– LeetCode Solutions
Search a 2D Matrix in C++:
class Solution { public: bool searchMatrix(vector<vector<int>>& matrix, int target) { if (matrix.empty()) return false; const int m = matrix.size(); const int n = matrix[0].size(); int l = 0; int r = m * n; while (l < r) { const int mid = l + (r - l) / 2; const int i = mid / n; const int j = mid % n; if (matrix[i][j] == target) return true; if (matrix[i][j] < target) l = mid + 1; else r = mid; } return false; } };
Search a 2D Matrix in Java:
class Solution { public boolean searchMatrix(int[][] matrix, int target) { if (matrix.length == 0) return false; final int m = matrix.length; final int n = matrix[0].length; int l = 0; int r = m * n; while (l < r) { final int mid = l + (r - l) / 2; final int i = mid / n; final int j = mid % n; if (matrix[i][j] == target) return true; if (matrix[i][j] < target) l = mid + 1; else r = mid; } return false; } }
Search a 2D Matrix in Python:
class Solution: def searchMatrix(self, matrix: List[List[int]], target: int) -> bool: if not matrix: return False m = len(matrix) n = len(matrix[0]) l = 0 r = m * n while l < r: mid = l + (r - l) // 2 i = mid // n j = mid % n if matrix[i][j] == target: return True if matrix[i][j] < target: l = mid + 1 else: r = mid return False
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