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leetcode-problemset/leetcode/originData/maximize-the-confusion-of-an-exam.json
2022-05-02 23:44:12 +08:00

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{
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"title": "Maximize the Confusion of an Exam",
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"content": "<p>A teacher is writing a test with <code>n</code> true/false questions, with <code>&#39;T&#39;</code> denoting true and <code>&#39;F&#39;</code> denoting false. He wants to confuse the students by <strong>maximizing</strong> the number of <strong>consecutive</strong> questions with the <strong>same</strong> answer (multiple trues or multiple falses in a row).</p>\n\n<p>You are given a string <code>answerKey</code>, where <code>answerKey[i]</code> is the original answer to the <code>i<sup>th</sup></code> question. In addition, you are given an integer <code>k</code>, the maximum number of times you may perform the following operation:</p>\n\n<ul>\n\t<li>Change the answer key for any question to <code>&#39;T&#39;</code> or <code>&#39;F&#39;</code> (i.e., set <code>answerKey[i]</code> to <code>&#39;T&#39;</code> or <code>&#39;F&#39;</code>).</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> number of consecutive</em> <code>&#39;T&#39;</code>s or <code>&#39;F&#39;</code>s <em>in the answer key after performing the operation at most</em> <code>k</code> <em>times</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> answerKey = &quot;TTFF&quot;, k = 2\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> We can replace both the &#39;F&#39;s with &#39;T&#39;s to make answerKey = &quot;<u>TTTT</u>&quot;.\nThere are four consecutive &#39;T&#39;s.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> answerKey = &quot;TFFT&quot;, k = 1\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We can replace the first &#39;T&#39; with an &#39;F&#39; to make answerKey = &quot;<u>FFF</u>T&quot;.\nAlternatively, we can replace the second &#39;T&#39; with an &#39;F&#39; to make answerKey = &quot;T<u>FFF</u>&quot;.\nIn both cases, there are three consecutive &#39;F&#39;s.\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> answerKey = &quot;TTFTTFTT&quot;, k = 1\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> We can replace the first &#39;F&#39; to make answerKey = &quot;<u>TTTTT</u>FTT&quot;\nAlternatively, we can replace the second &#39;F&#39; to make answerKey = &quot;TTF<u>TTTTT</u>&quot;. \nIn both cases, there are five consecutive &#39;T&#39;s.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == answerKey.length</code></li>\n\t<li><code>1 &lt;= n &lt;= 5 * 10<sup>4</sup></code></li>\n\t<li><code>answerKey[i]</code> is either <code>&#39;T&#39;</code> or <code>&#39;F&#39;</code></li>\n\t<li><code>1 &lt;= k &lt;= n</code></li>\n</ul>\n",
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"hints": [
"Can we use the maximum length at the previous position to help us find the answer for the current position?",
"Can we use binary search to find the maximum consecutive same answer at every position?"
],
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