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Algorithm

74. Search a 2D Matrix

Description

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:

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

Solution

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

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