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Given an integer n, return any array containing n unique integers such that they add up to 0.

 

Example 1:

Input: n = 5
Output: [-7,-1,1,3,4]
Explanation: These arrays also are accepted [-5,-1,1,2,3] , [-3,-1,2,-2,4].

Example 2:

Input: n = 3
Output: [-1,0,1]

Example 3:

Input: n = 1
Output: [0]

 

Constraints:

  • 1 <= n <= 1000

Related Topics:
Array

Solution 1.

// OJ: https://leetcode.com/problems/find-n-unique-integers-sum-up-to-zero/
// Author: github.com/lzl124631x
// Time: O(N)
// Space: O(1)
class Solution {
public:
    vector<int> sumZero(int n) {
        vector<int> ans;
        if (n % 2) ans.push_back(0), --n;
        for (int i = 1; i <= n / 2; ++i) {
            ans.push_back(i);
            ans.push_back(-i);
        }
        return ans;
    }
};