1. Two Sum
Given an array of integers, return indices of the two numbers such that they add up to a specific target.
You may assume that each input would have exactly one solution, and you may not use the same element twice.
Example:
Given nums = [2, 7, 11, 15], target = 9,Because nums[0] + nums[1] = 2 + 7 = 9,return [0, 1].
一、两遍循环,暴力破解
代码如下
function twoSum($nums, $target) { for($i=0;$i<count($nums); $i++){ for($j=$i+1; $j<count($nums); $j++){ $sum = $nums[$i]+$nums[$j]; if($target == $sum){ return array($i,$j); } } } }
时间复杂度 O(n^2 )
提交,结果执行时间1968 ms。。。。。
可以说龟速了
二、两遍hash
这个方法是看了leetcode的解决方案,但它是java代码,开始不知道,其实php的数组就是hash实现的,后面看了下面两片文章的介绍,才理解,解决的。
https://www.cnblogs.com/s-b-b...
https://www.cnblogs.com/shang...
代码如下
function twoSum2(array $nums , $target){ $res = []; $nums_match = []; foreach ($nums as $nums_k => $nums_v){ if(!isset($nums_match[$target-$nums_v])){ $nums_match[$target-$nums_v] = $nums_k; } } foreach ($nums as $nums_k => $nums_v){ if (isset($nums_match[$nums_v]) && $nums_match[$nums_v] != $nums_k) { $res[] = $nums_k; $res[] = $nums_match[$nums_v]; return $res; } }}
时间复杂度O(n)
执行时间24 ms ,提升很大
三、一遍hash
这是在两边hash的基础上进行的优化
代码如下
function twoSum($nums, $target) { $nums_match = []; foreach ($nums as $nums_k => $nums_v){ if((isset($nums_match[$target-$nums_v]))){ return array($nums_match[$target-$nums_v],$nums_k); } $nums_match[$nums_v] = $nums_k; } }
时间复杂度O(n)
执行时间16 ms