Two Sum

array hash-table

Description

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: nums[0] + nums[1] = 2 + 7 = 9, so we return [0, 1].

Example 2:
Input: nums = [3, 2, 4], target = 6
Output: [1, 2]
Explanation: nums[1] + nums[2] = 2 + 4 = 6, so we return [1, 2].

Example 3:
Input: nums = [3, 3], target = 6
Output: [0, 1]
Explanation: nums[0] + nums[1] = 3 + 3 = 6, so we return [0, 1].

Constraints

  • 2 <= nums.length <= 10^4
  • -10^9 <= nums[i] <= 10^9
  • -10^9 <= target <= 10^9
  • Only one valid answer exists

Complexity

Show Complexity
  • Time: O(n)
  • Space: O(n)

Hints

Show Hints
Pattern
Hash map for complement lookup
Approach
For each number x, check if (target - x) exists in hash map. If yes, return indices. Otherwise, add x to map.
Complexity
Use hash map to store seen values and their indices

Solutions

Show PY Solution
def solution(nums, target):
    container = {}

    for i in range(len(nums)):
        if nums[i] in container:
            return [container[nums[i]], i]
        t = target - nums[i]
        container[t] = i

    return []