Write an efficient algorithm that searches for a value in an m x n matrix. This matrix has the following properties:
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=matrix.size(); int N=matrix[0].size(); int top=0; int bottom=M-1; int mid1=0; if(matrix[0][0]==target) return true; while(top<=bottom) { mid1=top+(bottom-top)/2; if(matrix[mid1][0]==target) return true; else if(matrix[mid1][0]<target) top=mid1+1; else bottom=mid1-1; } if(matrix[mid1][0]>target) { if(mid1>0) mid1--; else return false; } int left=0; int right=N-1; while(left<=right) { int mid2=left+(right-left)/2; if(matrix[mid1][mid2]==target) return true; else if(matrix[mid1][mid2]<target) left=mid2+1; else right=mid2-1; } return false; } };
leetcode No74. Search a 2D Matrix
原文:http://blog.csdn.net/u011391629/article/details/52122470