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


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