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2441. Largest Positive Integer That Exists With Its Negative

Description

Given an integer array nums that does not contain any zeros, find the largest positive integer k such that -k also exists in the array.

Return the positive integer k. If there is no such integer, return -1.

 

Example 1:

Input: nums = [-1,2,-3,3]
Output: 3
Explanation: 3 is the only valid k we can find in the array.

Example 2:

Input: nums = [-1,10,6,7,-7,1]
Output: 7
Explanation: Both 1 and 7 have their corresponding negative values in the array. 7 has a larger value.

Example 3:

Input: nums = [-10,8,6,7,-2,-3]
Output: -1
Explanation: There is no a single valid k, we return -1.

 

Constraints:

  • 1 <= nums.length <= 1000
  • -1000 <= nums[i] <= 1000
  • nums[i] != 0

Solutions

Solution 1: Hash Table

We can use a hash table $s$ to record all elements that appear in the array, and a variable $ans$ to record the maximum positive integer that satisfies the problem requirements, initially $ans = -1$.

Next, we traverse each element $x$ in the hash table $s$. If $-x$ exists in $s$, then we update $ans = \max(ans, x)$.

After the traversal ends, return $ans$.

The time complexity is $O(n)$, and the space complexity is $O(n)$. Here, $n$ is the length of the array.

  • class Solution {
        public int findMaxK(int[] nums) {
            int ans = -1;
            Set<Integer> s = new HashSet<>();
            for (int x : nums) {
                s.add(x);
            }
            for (int x : s) {
                if (s.contains(-x)) {
                    ans = Math.max(ans, x);
                }
            }
            return ans;
        }
    }
    
  • class Solution {
    public:
        int findMaxK(vector<int>& nums) {
            unordered_set<int> s(nums.begin(), nums.end());
            int ans = -1;
            for (int x : s) {
                if (s.count(-x)) {
                    ans = max(ans, x);
                }
            }
            return ans;
        }
    };
    
  • class Solution:
        def findMaxK(self, nums: List[int]) -> int:
            s = set(nums)
            return max((x for x in s if -x in s), default=-1)
    
    
  • func findMaxK(nums []int) int {
    	ans := -1
    	s := map[int]bool{}
    	for _, x := range nums {
    		s[x] = true
    	}
    	for x := range s {
    		if s[-x] && ans < x {
    			ans = x
    		}
    	}
    	return ans
    }
    
  • function findMaxK(nums: number[]): number {
        let ans = -1;
        const s = new Set(nums);
        for (const x of s) {
            if (s.has(-x)) {
                ans = Math.max(ans, x);
            }
        }
        return ans;
    }
    
    
  • use std::collections::HashSet;
    impl Solution {
        pub fn find_max_k(nums: Vec<i32>) -> i32 {
            let s = nums.into_iter().collect::<HashSet<i32>>();
            let mut ans = -1;
            for &x in s.iter() {
                if s.contains(&-x) {
                    ans = ans.max(x);
                }
            }
            ans
        }
    }
    
    

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