Wednesday, July 22, 2015

LeetCode [240] Search a 2D Matrix II

 240. Search a 2D Matrix II

Medium

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

Example:

Consider the following 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]
]

Given target = 5, return true.

Given target = 20, return false.

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

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