Search a 2D Matrix

 

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.

For example,

Consider the following matrix:

[ [1, 3, 5, 7], [10, 11, 16, 20], [23, 30, 34, 50] ]

Given target = 3, return true.

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