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55 lines
2.1 KiB
HTML
55 lines
2.1 KiB
HTML
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<p>There is a room with <code>n</code> bulbs labeled from <code>1</code> to <code>n</code> that all are turned on initially, and <strong>four buttons</strong> on the wall. Each of the four buttons has a different functionality where:</p>
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<ul>
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<li><strong>Button 1:</strong> Flips the status of all the bulbs.</li>
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<li><strong>Button 2:</strong> Flips the status of all the bulbs with even labels (i.e., <code>2, 4, ...</code>).</li>
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<li><strong>Button 3:</strong> Flips the status of all the bulbs with odd labels (i.e., <code>1, 3, ...</code>).</li>
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<li><strong>Button 4:</strong> Flips the status of all the bulbs with a label <code>j = 3k + 1</code> where <code>k = 0, 1, 2, ...</code> (i.e., <code>1, 4, 7, 10, ...</code>).</li>
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</ul>
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<p>You must make <strong>exactly</strong> <code>presses</code> button presses in total. For each press, you may pick <strong>any</strong> of the four buttons to press.</p>
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<p>Given the two integers <code>n</code> and <code>presses</code>, return <em>the number of <strong>different possible statuses</strong> after performing all </em><code>presses</code><em> button presses</em>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> n = 1, presses = 1
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<strong>Output:</strong> 2
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<strong>Explanation:</strong> Status can be:
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- [off] by pressing button 1
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- [on] by pressing button 2
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> n = 2, presses = 1
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<strong>Output:</strong> 3
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<strong>Explanation:</strong> Status can be:
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- [off, off] by pressing button 1
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- [on, off] by pressing button 2
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- [off, on] by pressing button 3
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</pre>
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<p><strong>Example 3:</strong></p>
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<pre>
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<strong>Input:</strong> n = 3, presses = 1
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<strong>Output:</strong> 4
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<strong>Explanation:</strong> Status can be:
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- [off, off, off] by pressing button 1
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- [off, on, off] by pressing button 2
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- [on, off, on] by pressing button 3
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- [off, on, on] by pressing button 4
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= n <= 1000</code></li>
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<li><code>0 <= presses <= 1000</code></li>
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</ul>
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