LeetCode---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].

问题描述：

在给定的一个数组中超出两个数字，让这个两个数字之和等于一个给定的值。假设数组中至少存在一组满足要求。

解题思路：

1.穷举法 暴力求解

遍历所有的两个数之和，直到找到等于目标值的两个数即可。该方法的时间复杂度为O(n²)

public int[] twoSum(int[] nums, int target) {
    int[] result = new int[2];
    if (nums == null || nums.length < 2) return result;

    for (int i = 0; i < nums.length - 1; i++) {
        for (int j = i + 1; j < nums.length; j++) {

            if (nums[i] + nums[j] == target) {
                result[0] = i;
                result[1] = j;
                break;
            }
        }
    }

    return result;
}

2.hash法 以空间换时间 O(N)

用hash表去存储目标值和其中一个数字之差在数组中的位置

public int[] twoSum(int[] nums, int target) {

        int[] result = new int[2];
        if (nums == null || nums.length < 2) return result;
        HashMap<Integer, Integer> map = new HashMap<>();
        for (int i = 0; i < nums.length; i++) {
            if (map.containsKey(nums[i])) {
                result[0] = map.get(nums[i]);
                result[1] = i;
            } else {
                map.put(target - nums[i], i);
            }
        }
        return result;
    }