【Leetcode】167. Two Sum II - Input array is sorted

Question：

Given an array of integers that is already sorted in ascending order, find two numbers such that they add up to a specific target number.

The function twoSum should return indices of the two numbers such that they add up to the target, where index1 must be less than index2. Please note that your returned answers (both index1 and index2) are not zero-based.

You may assume that each input would have exactly one solution and you may not use the same element twice.

Input: numbers={2, 7, 11, 15}, target=9
Output: index1=1, index2=2

Tips：

给定一个有序的数组，找到两个数之和等于一个特定的数字target。返回两个数值的index。

本题一定要注意返回的结果数组中保存的是两个加数的index。

思路：

第一想法可能是两层for循环遍历数组，但是这样做的时间复杂度是O(n²),实际证实也确实不能Accept。

因为本题的testcase中有这个货，直接导致Time Limit Exceeded。

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5

所以我们就想到二分的方法来进行查找。设置两个指针low、high，指向数组的头与尾，加和大于target，high--；加和小于target就low++；直到加和==targt。

代码：

public int[] twoSum1(int[] numbers,int target){
        //时间复杂度抬高n方 提交答案不成功
        if(numbers==null || numbers.length<2) return null;
        int[] ans= new int[2];
        int len=numbers.length;
        int temp=0;
        for(int i=0;i<len;i++){
            for(int j=i+1;j<len;j++){
                temp=numbers[i]+numbers[j];
                if(temp==target){
                    ans[0]=i+1;
                    ans[1]=j+1;
                    break;
                }else{
                    temp=0;
                    continue;
                }
            }
        }
        return ans;
    }
    public int[] twoSum(int[] numbers,int target){
        int[] ans= new int[2];
        if(numbers==null || numbers.length<2) return ans;
        int len=numbers.length;
        int low=0;int high=len-1;
        while(low<high){
            int temp=numbers[low]+numbers[high];
            if(temp==target){
                ans[0]=low+1;
                ans[1]=high+1;
                break;
            }else if(temp>target){
                high--;
            }else{
                low++;
            }
        }
        return ans;
    }