1947. Maximum Compatibility Score Sum
Description
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.
Example 1:
Input: students = [[1,1,0],[1,0,1],[0,0,1]], mentors = [[1,0,0],[0,0,1],[1,1,0]] Output: 8 Explanation: We 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.
Example 2:
Input: students = [[0,0],[0,0],[0,0]], mentors = [[1,1],[1,1],[1,1]] Output: 0 Explanation: The compatibility score of any student-mentor pair is 0.
Constraints:
m == students.length == mentors.length
n == students[i].length == mentors[j].length
1 <= m, n <= 8
students[i][k]
is either0
or1
.mentors[j][k]
is either0
or1
.
Solutions
Solution 1
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 |
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 |
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 |
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 |
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