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Two Sum II

Detailed guide and Python implementation for the 'Two Sum II' problem.

Problem Statement

Easy

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.

Return the indices of the two numbers, index1 and index2, added by one as an integer array [index1, index2] of length 2.

You may not use the same element twice. Your solution must use only constant extra space.

Write a function twoSum(numbers: List[int], target: int) -> List[int].

Constraints
  • 2 <= len(numbers) <= 3 * 10^4
  • -1000 <= numbers[i] <= 1000
  • numbers is sorted in non-decreasing order
  • -1000 <= target <= 1000
  • Exactly one solution exists

Examples

Example 1
Input
numbers = [2, 7, 11, 15], target = 9
Output
[1, 2]
Explanation

2 + 7 = 9. The indices are 1 and 2 (1-indexed).

Example 2
Input
numbers = [2, 3, 4], target = 6
Output
[1, 3]
Explanation

2 + 4 = 6. The indices are 1 and 3 (1-indexed).

Example 3
Input
numbers = [-1, 0], target = -1
Output
[1, 2]
Explanation

-1 + 0 = -1. The indices are 1 and 2 (1-indexed).

Need a Hint?
Consider using Two Pointers-specific data structures like sets or heaps.
Edge Cases to Watch
  • Empty input structures
  • Single element inputs
  • Large numerical bounds

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