Five Sum

array
easy
hash table

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
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Input: nums = [2,7,11,15], target = 9
Output: [0,1]
Explanation: Because nums[0] + nums[1] == 9, we return [0, 1].
Example 2
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Input: nums = [3,2,4], target = 6
Output: [1,2]
Example 3
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Input: nums = [3,3], target = 6
Output: [0,1]

Come up with an algorithm that is less than \(O(n^2)\) time complexity.

Constraints

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

Solution

Steps

  1. First step
  2. Second step
  3. Third step \(a * b = a ^ b\)

Complexity

  • Space: \(O(1)\)
  • Time: \(O(n \log n)\)

Code

Go
Rust
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package main

import "fmt"

func main() {
  fmt.Println("Hello world!")
}
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fn main() {
  println!("Hello world!");
}
$$a * b = a ^ b$$

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