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Two Sum II - Input Array Is Sorted

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Senior Software Engineer | Backend, Cloud, Data, Machine Learning

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[index<sub>1</sub>] and numbers[index<sub>2</sub>] where 1 <= index<sub>1</sub> < index<sub>2</sub> <= numbers.length.

Return the indices of the two numbers, index<sub>1</sub> and index<sub>2</sub>, added by one as an integer array [index<sub>1</sub>, index<sub>2</sub>] 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.

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].

Constraints:

  • 2 <= numbers.length <= 3 * 10<sup>4</sup>

  • -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.

Solution:

class Solution:
    def twoSum(self, numbers: List[int], target: int) -> List[int]:
        l, r = 0, len(numbers) - 1

        while l < r:
            curSum = numbers[l] + numbers[r]

            if curSum > target:
                r -= 1
            elif curSum < target:
                l += 1
            else:
                return [l + 1, r + 1]

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