【leetcode】1. two sum两数之和

leetcode(1): two sum

Description

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].

0. My solution(Brute Force)


var twoSum = function(nums, target) {

    for(let i = 0; i < nums.length; i++) {

        for(let j = 0; j < nums.length; j++) {

            if(nums[i] + nums[j] === target && i != j) {

                return [i, j]

            }

        }

    }

};

· Time complexity: O(n^2), For each element, I try to find its complement by looping through the rest of array which takes O(n)*O(n) time. Therefore, the time complexity is O(n^2).

· Space complexity : O(1).

1. Improve


var twoSum = function(nums, target) {

    for(let i = 0; i < nums.length; i++) {

        for(let j = i + 1; j < nums.length; j++) {

            if(nums[i] + nums[j] === target) {

                return [i, j]

            }

        }

    }

};

2. Improve again


var twoSum = function(nums, target) {

    for(var i = 0; i< nums.length; i++){

        var complement = target - nums[i];

        var found = nums.indexOf(complement, i + 1);

        if(found !== -1){

            return [i, found];

        }

    }

    return [0, 0];

};

3. Improve again


var twoSum = function(nums, target) {

    if (nums.length === 2) return [0, 1];

    const len = nums.length;

    let hashTable = {};

	for(let i = 0; i < len; i++){

		// Add a new obj to the hashTable where key = nums[i] and value = i

		hashTable[nums[i]] = i;

	}

	

    for(let i = 0; i < len; i++) {

        let complement = target - nums[i];

        let found = hashTable[complement]; // Determine whether the complement exist in the hashTable

        if(found !== undefined && found != i) return [i, found];

	}

	return [0,0];

}

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