LeetCode 1521: Find a Value of a Mysterious Function Closest to Target Solution

Master LeetCode problem 1521 (Find a Value of a Mysterious Function Closest to Target), a hard challenge, with our optimized solutions in Java, C++, and Python. Explore detailed explanations, test your code in our interactive editor, and prepare for coding interviews.

1521. Find a Value of a Mysterious Function Closest to Target

Hard

Array Binary Search Bit Manipulation Segment Tree

Problem Explanation

Explanation

To solve this problem, we need to find the minimum absolute difference between the result of the mysterious function func and the target value. We can iterate through all possible subarrays of arr and calculate the result of func for each subarray. Then, we find the closest value to the target in all these results.

We can use a segment tree data structure to efficiently calculate the result of func for a given subarray. We can build the segment tree using the values in arr, and then query the segment tree for the result of func for a specific subarray.

Build the segment tree using the values in arr.
Iterate through all possible subarrays of arr.
Query the segment tree for the result of func for each subarray.
Update the minimum absolute difference found so far.

Time complexity: O(n * log n) Space complexity: O(n)

Solution Code

class Solution {
    public int closestToTarget(int[] arr, int target) {
        int n = arr.length;
        int res = Math.abs(arr[0] - target);
        Set<Integer> s = new HashSet<>();
        s.add(arr[0]);
        for (int i = 1; i < n; i++) {
            Set<Integer> t = new HashSet<>();
            t.add(arr[i]);
            for (int x : s) {
                t.add(x & arr[i]);
            }
            s = t;
            for (int x : s) {
                res = Math.min(res, Math.abs(x - target));
            }
        }
        return res;
    }
}

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