240.Search a 2D Matrix II

题目链接:https://leetcode.com/problems/search-a-2d-matrix-ii/description/

题目大意:一个矩阵,每行从左到右,数值以升序排列;每列从上到下,数值以升序排列。从这个矩阵中找到是否有target数值存在,如果有返回true,否则返回false。

解法一:利用74题的解法一,逐一的对每一行进行二分查找操作。代码如下(耗时15ms):

 1     public boolean searchMatrix(int[][] matrix, int target) {
 2         if(matrix == null || matrix.length == 0 || matrix[0].length == 0) {
 3             return false;
 4         }
 5         //逐一查找每一行
 6         for(int i = 0; i < matrix.length; i++) {
 7             //二分查找
 8             int low = 0, high = matrix[i].length - 1;
 9             while(low <= high) {
10                 int mid = (low + high) / 2;
11                 if(matrix[i][mid] < target) {
12                     low = mid + 1;
13                 }
14                 else if(matrix[i][mid]> target) {
15                     high = mid - 1;
16                 }
17                 else {
18                     return true;
19                 }
20             }
21         }
22         return false;
23     }
View Code

解法二:巧妙的解法,因为每行每列的数值按照一定顺序排列,当当前值比target小时,则在当前行右移;当当前值比target大时,则在当前列上移,直到找到target或下标越界。代码如下(耗时15ms):

 1     public boolean searchMatrix(int[][] matrix, int target) {
 2         if(matrix == null || matrix.length == 0 || matrix[0].length == 0) {
 3             return false;
 4         }
 5         int row = matrix.length - 1, col = 0;
 6         while(row >= 0 && col < matrix[0].length) {
 7             if(matrix[row][col] < target) {
 8                 col++;
 9             }
10             else if(matrix[row][col] > target) {
11                 row--;
12             }
13             else {
14                 return true;
15             }
16         }
17         return false;
18     }
View Code
原文地址:https://www.cnblogs.com/cing/p/8214731.html