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74. Search a 2D Matrix (Graph; Divide-and-Conquer)

时间:2015-10-04 17:10:18      阅读:132      评论:0      收藏:0      [点我收藏+]

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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. 所以用二分法
  • 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) {
        if(matrix.empty()) return false;
        int columns = matrix[0].size()-1;
        int line;
        for(line = 0; line < matrix.size(); line++){
            if(target <= matrix[line][columns]) break;
        }
        if(line == matrix.size()) return false;
        else return findColumn(matrix[line],target,0,columns);
    }
    
    bool findColumn(vector<int>& array, int target,int start, int end){
        int mid = start + (end - start)/2;
        if(target == array[mid]) return true;
        if(target < array[mid]){ 
            if(mid == start) return false;
            else findColumn(array, target, start,mid-1);
        }
        else{
            if(mid == end) return false;
            else findColumn(array, target, mid+1,end);
        }
    }
};

 

74. Search a 2D Matrix (Graph; Divide-and-Conquer)

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原文地址:http://www.cnblogs.com/qionglouyuyu/p/4854625.html

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