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This approach uses a Hash Set to store elements as we iterate through the array. For each element, we check if its double or half (only if it's even) exists in the set. This allows for efficient lookup and insertion operations.
Time Complexity: O(n), because we iterate through the array once and do constant time operations for each element.
Space Complexity: O(1), since the hash set size is fixed regardless of input size.
1var checkIfExist = function(arr) {
2 const seen = new Set();
3 for (let num of arr) {
4 if (seen.has(2 * num) || (num % 2 === 0 && seen.has(num / 2))) {
5 return true;
6 }
7 seen.add(num);
8 }
9 return false;
10};
This JavaScript solution uses a Set to store numbers as they are encountered. For each number, it checks if twice the number or half if the number is even is in the set.
This approach involves sorting the array first. Once sorted, we can use two pointers to find if there exist indices i and j such that one element is twice the other. Sorting helps to systematically check this condition.
Time Complexity: O(n log n) for sorting, then O(n^2) for the two-pointer search.
Space Complexity: O(1) as it sorts in place.
1
This Python solution sorts the array and uses a nested loop to efficiently check conditions, terminating early when further comparisons are unnecessary due to the sorted order.