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.

Solution

class Solution {
    public int[] twoSum(int[] numbers, int target) {
        // use binary search
        int index1 = 0;
        int index2 = 0;
        for (int i = 0; i < numbers.length; i++) {
            int val = numbers[i];
            int found = Arrays.binarySearch(numbers, i  + 1, numbers.length, target - val);
            if (found >= 0) {
                index1 = i  + 1;
                index2 = found + 1;
                break;
            }
        }

        return new int[]{ index1, index2 };
    }
}

Solution using Two Pointers

class Solution {
    public int[] twoSum(int[] numbers, int target) {
        // use binary search
        int start = 0;
        int end = numbers.length - 1;
        while (start < end) {
            int sum = numbers[start] + numbers[end];
            if (sum == target) {
                return new int[]{ start + 1, end + 1 };
            }
            if (sum > target) {
                end--;
            } else {
                start++;
            }
        }

        return new int[]{ -1, -1 };
    }
}