mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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192 lines
18 KiB
JSON
192 lines
18 KiB
JSON
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"questionId": "2078",
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"title": "Maximum Compatibility Score Sum",
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"content": "<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>\n\n<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>\n\n<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>\n\n<ul>\n\t<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>\n</ul>\n\n<p>You are tasked with finding the optimal student-mentor pairings to <strong>maximize</strong> the<strong> sum of the compatibility scores</strong>.</p>\n\n<p>Given <code>students</code> and <code>mentors</code>, return <em>the <strong>maximum compatibility score sum</strong> that can be achieved.</em></p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> students = [[1,1,0],[1,0,1],[0,0,1]], mentors = [[1,0,0],[0,0,1],[1,1,0]]\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> We assign students to mentors in the following way:\n- student 0 to mentor 2 with a compatibility score of 3.\n- student 1 to mentor 0 with a compatibility score of 2.\n- student 2 to mentor 1 with a compatibility score of 3.\nThe compatibility score sum is 3 + 2 + 3 = 8.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> students = [[0,0],[0,0],[0,0]], mentors = [[1,1],[1,1],[1,1]]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> The compatibility score of any student-mentor pair is 0.\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>m == students.length == mentors.length</code></li>\n\t<li><code>n == students[i].length == mentors[j].length</code></li>\n\t<li><code>1 <= m, n <= 8</code></li>\n\t<li><code>students[i][k]</code> is either <code>0</code> or <code>1</code>.</li>\n\t<li><code>mentors[j][k]</code> is either <code>0</code> or <code>1</code>.</li>\n</ul>\n",
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"code": "# @param {Integer[][]} students\n# @param {Integer[][]} mentors\n# @return {Integer}\ndef max_compatibility_sum(students, mentors)\n \nend",
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"Calculate the compatibility score for each student-mentor pair.",
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"Try every permutation of students with the original mentors array."
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