There is a room with n bulbs labeled from 1 to n that all are turned on initially, and four buttons on the wall. Each of the four buttons has a different functionality where:
2, 4, ...).1, 3, ...).j = 3k + 1 where k = 0, 1, 2, ... (i.e., 1, 4, 7, 10, ...).You must make exactly presses button presses in total. For each press, you may pick any of the four buttons to press.
Given the two integers n and presses, return the number of different possible statuses after performing all presses button presses.
\n
Example 1:
\n\n\nInput: n = 1, presses = 1\nOutput: 2\nExplanation: Status can be:\n- [off] by pressing button 1\n- [on] by pressing button 2\n\n\n
Example 2:
\n\n\nInput: n = 2, presses = 1\nOutput: 3\nExplanation: Status can be:\n- [off, off] by pressing button 1\n- [on, off] by pressing button 2\n- [off, on] by pressing button 3\n\n\n
Example 3:
\n\n\nInput: n = 3, presses = 1\nOutput: 4\nExplanation: Status can be:\n- [off, off, off] by pressing button 1\n- [off, on, off] by pressing button 2\n- [on, off, on] by pressing button 3\n- [off, on, on] by pressing button 4\n\n\n
\n
Constraints:
\n\n1 <= n <= 10000 <= presses <= 1000Compiled with clang 11 using the latest C++ 17 standard.
Your code is compiled with level two optimization (-O2). AddressSanitizer is also enabled to help detect out-of-bounds and use-after-free bugs.
Most standard library headers are already included automatically for your convenience.
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