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The brute force method involves simulating all possible presses and tracking unique bulb statuses. Given the four button types, the problem can quickly become computationally expensive with high values of n and presses. However, for small values, especially considering n's repetitive behavior beyond 3, this approach is feasible.
Time Complexity: O(1) - Constant time due to direct evaluation based on provided conditions.
Space Complexity: O(1) - Uses fixed space.
1#include <iostream>
2using namespace std;
3
4int flipLights(int n, int presses) {
5 if (presses == 0) return 1;
6 if (n == 1) return 2;
7 if (n == 2) return presses == 1 ? 3 : 4;
8 return presses == 1 ? 4 : (presses == 2 ? 7 : 8);
9}
10This C++ solution applies straightforward logical conditions to derive the number of light configurations.
By analyzing the problem and the stated button functionalities, we can deduce that the bulb statuses form repeatable patterns for n > 3. Consequently, the approach deduces patterns up to n = 3 directly, which encompasses every unique possible state combination for larger n due to periodic overlap.
Time Complexity: O(1) - Executes in constant time.
Space Complexity: O(1) - Minimal variable usage.
1The function deduces the count of unique configurations depending on presses limitations and n value, considerably reducing computational effort by recognizing recurring patterns from n=3 onwards.