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【leetcode】Search a 2D Matrix

时间:2014-06-28 15:11:53      阅读:307      评论:0      收藏:0      [点我收藏+]

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


题解:直接把二维数组看成一个长度为m*n的数列,然后用二分法查找target,注意在这个数列中编号为k的数在二维数组中的坐标x = k/n, y=k%n;

代码如下;

 1 public class Solution {
 2     public boolean searchMatrix(int[][] matrix, int target) {
 3         if(matrix.length == 0 || matrix[0].length == 0)
 4             return false;
 5         int m = matrix.length;
 6         int n = matrix[0].length;
 7         
 8         int start = 0,end = m*n-1;
 9         while(start <= end){
10             int mid = start + (end-start)/2;
11             int x = mid/n;
12             int y = mid%n;
13             
14             if(matrix[x][y] == target)
15                 return true;
16             
17             if(matrix[x][y] < target)
18                 start = mid+1;
19             else
20                 end = mid-1;
21         }
22         return false;
23     }
24 }

 

 

【leetcode】Search a 2D Matrix,布布扣,bubuko.com

【leetcode】Search a 2D Matrix

原文:http://www.cnblogs.com/sunshineatnoon/p/3798224.html

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