How to Solve Maximum Compatibility Score Sum Problem
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Maximum Compatibility Score Sum
There is a survey that consists of n questions where each question's answer is either 0 (no) or 1 (yes). The survey was given to m students numbered from 0 to m - 1 and m mentors numbered from 0 to m ...
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Understanding the Maximum Compatibility Score Sum Problem
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Problem Statement
There is a survey that consists of n questions where each question's answer is either 0 (no) or 1 (yes). The survey was given to m students numbered from 0 to m - 1 and m mentors numbered from 0 to m - 1. The answers of the students are represented by a 2D integer array students where students[i] is an integer array that contains the answers of the ith student (0-indexed). The answers of the mentors are represented by a 2D integer array mentors where mentors[j] is an integer array that contains the answers of the jth mentor (0-indexed). Each student will be assigned to one mentor, and each mentor will have one student assigned to them. The compatibility score of a student-mentor pair is the number of answers that are the same for both the student and the mentor. For example, if the student's answers were [1, 0, 1] and the mentor's answers were [0, 0, 1], then their compatibility score is 2 because only the second and the third answers are the same. You are tasked with finding the optimal student-mentor pairings to maximize the sum of the compatibility scores. Given students and mentors, return the maximum compatibility score sum that can be achieved.
Maximum Compatibility Score Sum
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Examples
students = [[1,1,0],[1,0,1],[0,0,1]], mentors = [[1,0,0],[0,0,1],[1,1,0]]8We assign students to mentors in the following way: - student 0 to mentor 2 with a compatibility score of 3. - student 1 to mentor 0 with a compatibility score of 2. - student 2 to mentor 1 with a compatibility score of 3. The compatibility score sum is 3 + 2 + 3 = 8.
students = [[0,0],[0,0],[0,0]], mentors = [[1,1],[1,1],[1,1]]0The compatibility score of any student-mentor pair is 0.
Constraints
m == students.length == mentors.lengthn == students[i].length == mentors[j].length1 <= m, n <= 8students[i][k] is either 0 or 1.mentors[j][k] is either 0 or 1.How Interview Coder Helps with Leetcode Problems
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