Challenge Statement

  • Given a 1-indexed array of integers numbers that is already sorted in non-decreasing order, find two numbers such that they add up to a specific target number. Let these two numbers be numbers[index1] and numbers[index2] where 1 <= index1 < index2 <= len(numbers).
  • Return the indices of the two numbers, index1 and index2, added by one as an integer array [index1, index2] of length 2.
  • The tests are generated such that there is exactly one solution. You may not use the same element twice.
  • Your solution must use only constant extra space.
  • This challenge corresponds to LeetCode #167.

Constraints

  • 2 <= len(numbers) <= 3 * 104
  • -1000 <= numbers[i] <= 1000
  • numbers is sorted in non-decreasing order.
  • -1000 <= target <= 1000
  • The tests are generated such that there is exactly one solution.
  • s consists only of printable ASCII characters.

Example 1:

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. We return [1, 2].

Example 2:

Input: numbers = [2, 3, 4], target = 6

Output: [1, 3]

Explanation: The sum of 2 and 4 is 6. Therefore index1 = 1, index2 = 3. We return [1, 3].

Example 3:

Input: numbers = [-1, 0], target = -1

Output: [1, 2]

Explanation: The sum of -1 and 0 is -1. Therefore index1 = 1, index2 = 2. We return [1, 2].

Solution

Below is my solution and some test cases. This solution has a linear time complexity O(n) and a constant space complexity O(1), where n is the length of the input list.