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1. 两数之和

题目

给定一个整数数组 nums 和一个目标值 target,请你在该数组中找出和为目标值的那 两个 整数,并返回他们的数组下标。

你可以假设每种输入只会对应一个答案。但是,你不能重复利用这个数组中同样的元素。

示例:

给定 nums = [2, 7, 11, 15], target = 9

因为 nums[0] + nums[1] = 2 + 7 = 9
所以返回 [0, 1]

解法

暴力遍历

通过两次循环遍历整个数组来寻找,时间为 O(n2)

/**
 * @param {number[]} nums
 * @param {number} target
 * @return {number[]}
 */
var twoSum = function(nums, target) {
    let x = 0;
    let y = 1;
    let find = false;
    let ret = [];
    let len = nums.length;
    for (; x < len - 1; x++) {
        if (find === true) break;
        for (y = x + 1; y <= len - 1; y++) {
            if (nums[x] + nums[y] === target) {
                ret = [x, y];
                find = true;
                break;
            }
        }
    }
    return ret;
};

空间换时间

空间换时间,先通过一次循环用一个数组来存储原始数组存在的值,然后在通过一次循环遍历原始数组,寻找对应的下标。

var twoSum = function(nums, target) {
    var map = [];
    var len = nums.length;
    for (let i = 0; i < len; i++) {
        map[nums[i]] = i;
    }
    for (let i = 0; i < len; i++) {
        const x = target - nums[i];
        if (map[x] !== undefined && map[x] !== i) {
            return [i, map[x]]
        }
    }
    return []
}

考察点

  • 遍历方法
  • 哈希概念

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