leetCode---Search a 2D Matrix II
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一. 题目:Search a 2D Matrix II
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.
For 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
.
二. 思路分析
题目大意:给定一个二位矩阵,矩阵从左到右,从上到下是递增的,给定一个目标值,看能否从举证中找到。思路分析:结合
矩阵的特点,矩阵是从左到右,从上到下是递增的,那我们可以选择初始寻找点最左下方的值,如果比目标值大,向右搜索,比目标值小,
向上搜索,直到找到目标值,没有则返回fasle;代码如下:
class Solution{public: bool searchMatrix(vector<vector<int>>& matrix, int target) { int i = 0; int j = matrix[0].size() - 1; while(i < matrix.size() && j >= 0) { if(matrix[i][j] == target) return true; if(matrix[i][j] < target) i++; else j--; } return false; }};
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