167 Two Sum II

Problem:

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 < numbers.length.

Return the indices of the two numbers, index1 and index2added 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.

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 * 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.

Problem Analysis:

  • use 2 pointers
  • there is important assumption that there is a guaranteed solution in the array, so there is less edge cases to handle, eg. no solution found.

Solutions:

class Solution:
    def twoSum(self, numbers: List[int], target: int) -> List[int]:
        # 2 pointers
        # assumption: guaranteed solution in array
        l, r = 0, len(numbers)-1

        while l < r:
            curSum = numbers[l] + numbers[r]
            print(curSum)

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

Similar Questions

  • 1-two-sum1 Two Sum - EasyProblem: Given an array of integers nums and an integer target, return indices of the two numbers such that they add up to target. You may assume that each input would have *exactly* one solution, and you may not use the same element twice. You can return the answer in any order. Example 1: Input: nums = \[2,7,11,15\], target = 9 Output: \[0,1\] Explanation: Because nums\[0\] + nums\[1\] == 9, we return \[0, 1\]. Example 2: Input: nums = \[3,2,4\], target = 6 Output: \[1,2\] Example 3: