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167. Two Sum II - Input array is sorted

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.

Note:

  • 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.

Example:

Input: numbers = [2,7,11,15], target = 9
Output: [1,2]
Explanation: The sum of 2 and 7 is 9. Therefore index1 = 1, index2 = 2.

Solutions (C)

/**
 * Note: The returned array must be malloced, assume caller calls free().
 */
int* twoSum(int* numbers, int numbersSize, int target, int* returnSize){
    int* returnArr = (int* )malloc((sizeof(int)) * 2);
    *returnSize = 2;
    int head = 0, tail = numbersSize - 1;
    while(tail > head){
        int sum = numbers[head] + numbers[tail];
        if(sum == target)
            break;
        else if(sum > target)
            tail--;
        else
            head++;
    }
    returnArr[0] = head + 1;
    returnArr[1] = tail + 1;
    return returnArr;
}

Solutions (Java)

Binary search

class Solution {
    public int[] twoSum(int[] numbers, int target) {
        for (int i = 0; i < numbers.length; ++i) {
            int low = i + 1;
            int high = numbers.length - 1;
            while (low <= high) {
                int mid = low + (high - low) / 2;
                if (numbers[i] + numbers[mid] > target) {
                    high = mid - 1;
                } else if (numbers[i] + numbers[mid] < target) {
                    low = mid + 1;
                } else {
                    return new int[]{i + 1, mid + 1};
                }
            }
        }
        return new int[]{-1, -1};
    }
}

Two pointers

class Solution {
    public int[] twoSum(int[] numbers, int target) {
        int low = 0;
        int high = numbers.length - 1;
        while (low <= high) {
            if (numbers[low] + numbers[high] > target) {
                high--;
            } else if (numbers[low] + numbers[high] < target) {
                low++;
            } else {
                return new int[]{low + 1, high + 1};
            }
        }
        return new int[]{-1, -1};
    }
}