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Search a 2D Matrix II LeetCode Solution

Problem – Search a 2D Matrix II

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 in ascending from left to right.
  • Integers in each column are sorted in ascending from top to bottom.

Example 1:

Input: 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]], target = 5
Output: true

Example 2:

Input: 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]], target = 20
Output: false

Constraints:

  • m == matrix.length
  • n == matrix[i].length
  • 1 <= n, m <= 300
  • -109 <= matrix[i][j] <= 109
  • All the integers in each row are sorted in ascending order.
  • All the integers in each column are sorted in ascending order.
  • -109 <= target <= 109

Search a 2D Matrix II LeetCode Solution in Java

public class Solution {
    public boolean searchMatrix(int[][] matrix, int target) {
        if(matrix == null || matrix.length < 1 || matrix[0].length <1) {
            return false;
        }
        int col = matrix[0].length-1;
        int row = 0;
        while(col >= 0 && row <= matrix.length-1) {
            if(target == matrix[row][col]) {
                return true;
            } else if(target < matrix[row][col]) {
                col--;
            } else if(target > matrix[row][col]) {
                row++;
            }
        }
        return false;
    }
}

Search a 2D Matrix II LeetCode Solution in C++

class Solution {
public:
    bool searchMatrix(vector<vector<int>>& matrix, int target) {
        int m = matrix.size(), n = m ? matrix[0].size() : 0, r = 0, c = n - 1;
        while (r < m && c >= 0) {
            if (matrix[r][c] == target) {
                return true;
            }
            matrix[r][c] > target ? c-- : r++;
        }
        return false;
    }
};

Search a 2D Matrix II LeetCode Solution in Python

class Solution:
    def searchMatrix(self, matrix: List[List[int]], target: int)-> bool:
        
        
        if not len(matrix) or not len(matrix[0]):
            # Quick response for empty matrix
            return False
        
        h, w = len(matrix), len(matrix[0])
        
        for row in matrix:
			
			# range check
            if row[0] <= target <= row[-1]:
                
				# launch binary search on current possible row
				
                left, right = 0, w-1
                
                while left <= right:
                    
                    mid = left + (right - left) // 2
                    
                    mid_value = row[mid]
                    
                    if target > mid_value:
                        left = mid+1
                    elif target < mid_value:
                        right = mid-1
                    else:
                        return True
                
        return False
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