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46 lines
2.8 KiB
HTML
46 lines
2.8 KiB
HTML
<p>There is a survey that consists of <code>n</code> questions where each question's answer is either <code>0</code> (no) or <code>1</code> (yes).</p>
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<p>The survey was given to <code>m</code> students numbered from <code>0</code> to <code>m - 1</code> and <code>m</code> mentors numbered from <code>0</code> to <code>m - 1</code>. The answers of the students are represented by a 2D integer array <code>students</code> where <code>students[i]</code> is an integer array that contains the answers of the <code>i<sup>th</sup></code> student (<strong>0-indexed</strong>). The answers of the mentors are represented by a 2D integer array <code>mentors</code> where <code>mentors[j]</code> is an integer array that contains the answers of the <code>j<sup>th</sup></code> mentor (<strong>0-indexed</strong>).</p>
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<p>Each student will be assigned to <strong>one</strong> mentor, and each mentor will have <strong>one</strong> student assigned to them. The <strong>compatibility score</strong> of a student-mentor pair is the number of answers that are the same for both the student and the mentor.</p>
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<ul>
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<li>For example, if the student's answers were <code>[1, <u>0</u>, <u>1</u>]</code> and the mentor's answers were <code>[0, <u>0</u>, <u>1</u>]</code>, then their compatibility score is 2 because only the second and the third answers are the same.</li>
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</ul>
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<p>You are tasked with finding the optimal student-mentor pairings to <strong>maximize</strong> the<strong> sum of the compatibility scores</strong>.</p>
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<p>Given <code>students</code> and <code>mentors</code>, return <em>the <strong>maximum compatibility score sum</strong> that can be achieved.</em></p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> students = [[1,1,0],[1,0,1],[0,0,1]], mentors = [[1,0,0],[0,0,1],[1,1,0]]
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<strong>Output:</strong> 8
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<strong>Explanation:</strong> We assign students to mentors in the following way:
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- student 0 to mentor 2 with a compatibility score of 3.
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- student 1 to mentor 0 with a compatibility score of 2.
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- student 2 to mentor 1 with a compatibility score of 3.
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The compatibility score sum is 3 + 2 + 3 = 8.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> students = [[0,0],[0,0],[0,0]], mentors = [[1,1],[1,1],[1,1]]
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<strong>Output:</strong> 0
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<strong>Explanation:</strong> The compatibility score of any student-mentor pair is 0.
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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>m == students.length == mentors.length</code></li>
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<li><code>n == students[i].length == mentors[j].length</code></li>
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<li><code>1 <= m, n <= 8</code></li>
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<li><code>students[i][k]</code> is either <code>0</code> or <code>1</code>.</li>
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<li><code>mentors[j][k]</code> is either <code>0</code> or <code>1</code>.</li>
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</ul>
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