--- tags: data_structure_python --- # Two Sum II - Input array is sorted <img src="https://img.shields.io/badge/-easy-brightgreen"> 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. <ins>**Example:**</ins> ``` 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 1 - Time complexity: O(n) - Space complexity: O(n) ```python= class Solution: def twoSum(self, numbers: List[int], target: int) -> List[int]: # O(n) time complexity # O(n) space complexity bag = {} for i, num in enumerate(numbers): if num in bag: return [bag[num], i+1] bag[target - num] = i + 1 ``` # Solution 2: - Using Two pointers - Time complexity: O(n) - Space complexity: O(1) ```python= class Solution: def twoSum(self, numbers: List[int], target: int) -> List[int]: l, r = 0, len(numbers)-1 while l < r: somme = numbers[l] + numbers[r] if somme == target: return [l+1, r+1] elif somme > target: r -= 1 else: l += 1 ```