167. Two Sum II - Input array is sortedeasy

Posted 2020-10-09 abc_begin

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

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

 

解法一：

 1 class Solution {
 2 public:
 3     vector<int> twoSum(vector<int>& numbers, int target) {
 4         vector<int> result;
 5         
 6         for (int i = 0, j = numbers.size() -1; i <= j;) {
 7             if (numbers[i] + numbers[j] == target) {
 8                 result.push_back(i + 1);
 9                 result.push_back(j + 1);
10                 return result;
11             }
12             else if (numbers[i] + numbers[j] > target) {
13                 --j;
14             }
15             else if (numbers[i] + numbers[j] < target) {
16                 ++i;
17             }
18         }
19             
20         return result;
21     }
22 };

双指针

 

解法二：

 1 class Solution {
 2 public:
 3     vector<int> twoSum(vector<int>& numbers, int target) {
 4         vector<int> result;
 5         
 6         for (int i = 0; i < numbers.size() - 1; ++i) {
 7             int start = i + 1;
 8             int end = numbers.size() - 1;
 9             int temp_target = target - numbers[i];
10             
11             //binary search
12             while (start + 1 < end) {
13                 int mid = start + (end - start) / 2;
14                 if (numbers[mid] == temp_target) {
15                     result.push_back(i + 1);
16                     result.push_back(mid + 1);
17                     return result;
18                 }
19                 else if (numbers[mid] > temp_target) {
20                     end = mid;
21                 }
22                 else if (numbers[mid] < temp_target) {
23                     start = mid;
24                 }
25             }
26             if (numbers[start] == temp_target) {
27                 result.push_back(i + 1);
28                 result.push_back(start + 1);
29                 return result;
30             }
31             if (numbers[end] == temp_target) {
32                 result.push_back(i + 1);
33                 result.push_back(end + 1);
34                 return result;
35             }          
36         }
37             
38         return result;
39     }
40 };

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