面试题：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.假设相加方案只有一种，同一个值不要用两次。

---

Example:

iven nums = [2, 7, 11, 15], target = 9,

Because nums[0] + nums[1] = 2 + 7 = 9,
return [0, 1].

我的解法：最简单的大圈套小圈。

 public int[] twoSum(int[] nums, int target) {
     for (int i = 0; i < nums.length; i++) {
         for (int j = i + 1; j < nums.length; j++) {
             if (nums[j] == target - nums[i]) {
                 return new int[] { i, j };
             }
         }
     }
     throw new IllegalArgumentException("No two sum solution");
 }

快速解法：通过HashMap将数组中元素的值和索引对应起来。 涉及到值-索引这种对应关系的，第一时间想到HashMap。

 public int[] twoSum(int[] nums, int target) {
     Map<Integer, Integer> map = new HashMap<>();
     for (int i = 0; i < nums.length; i++) { //第一个循环讲元素值和索引放入HashMap中
         map.put(nums[i], i);
     }
     for (int i = 0; i < nums.length; i++) {
         int complement = target - nums[i];
         if (map.containsKey(complement) && map.get(complement) != i) {  //不能重复使用，所以!=i
             return new int[] { i, map.get(complement) };
         }
     }
     throw new IllegalArgumentException("No two sum solution");
 }

更优解法：在放入HashMap的同时检查是否有满足条件的key。

 public int[] twoSum(int[] nums, int target) {
     Map<Integer, Integer> map = new HashMap<>();
     for (int i = 0; i < nums.length; i++) {
         int complement = target - nums[i];
         if (map.containsKey(complement)) {
             return new int[] { map.get(complement), i };
         }
         map.put(nums[i], i);
     }
     throw new IllegalArgumentException("No two sum solution");
 }