1. Two Sum java

题目描述:

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].

解释说明:给定一个数组和一个目标数字,返回一个和为该数字的两数下标。

方法一:双重循环,时间复杂度O(n2),空间复杂度O(1)。

代码实现:

class Solution {
    public int[] twoSum(int[] nums, int target) {
        int[] a = new int[2];
        for(int i=0;i<nums.length-1;i++){
            for(int j=i+1;j<nums.length;j++){
                if(nums[i]+nums[j]==target){
                    a[0]=i;
                    a[1]=j;
                    break;
                }
            }
        }
        return a;
    }
}

方法二:利用HashMap<>(),时间复杂度:

O(n)

O(n),空间复杂度:O(n)。

代码实现:

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");
}

方法三:利用HashTable<>(),时间复杂度:

O(n)

O(n),空间复杂度:O(n)。

代码实现:

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