How to Solve Maximum Matching of Players With Trainers Leetcode Problem - Interview Coder Guide
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How to Solve Maximum Matching of Players With Trainers Problem

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Medium#2497
LeetCode Problem

Maximum Matching of Players With Trainers

You are given a 0-indexed integer array players, where players[i] represents the ability of the ith player. You are also given a 0-indexed integer array trainers, where trainers[j] represents the trai...

ArrayTwo PointersGreedy+1 more

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Problem Breakdown

Understanding the Maximum Matching of Players With Trainers Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

You are given a 0-indexed integer array players, where players[i] represents the ability of the ith player. You are also given a 0-indexed integer array trainers, where trainers[j] represents the training capacity of the jth trainer. The ith player can match with the jth trainer if the player's ability is less than or equal to the trainer's training capacity. Additionally, the ith player can be matched with at most one trainer, and the jth trainer can be matched with at most one player. Return the maximum number of matchings between players and trainers that satisfy these conditions.

MediumProblem #2497
LeetCode

Maximum Matching of Players With Trainers

Related Topics
ArrayTwo PointersGreedySorting
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Examples

Example 1
INPUT
players = [4,7,9], trainers = [8,2,5,8]
OUTPUT
2
EXPLANATION

One of the ways we can form two matchings is as follows: - players[0] can be matched with trainers[0] since 4 <= 8. - players[1] can be matched with trainers[3] since 7 <= 8. It can be proven that 2 is the maximum number of matchings that can be formed.

Example 2
INPUT
players = [1,1,1], trainers = [10]
OUTPUT
1
EXPLANATION

The trainer can be matched with any of the 3 players. Each player can only be matched with one trainer, so the maximum answer is 1.

Constraints

1 <= players.length, trainers.length <= 105
1 <= players[i], trainers[j] <= 109

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