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There are 2 teams, each having N players. There will be N rounds played between the 2 teams. In every round, a player from team A plays against a player from team B. The more powerful player wins the game. Given the strength of the players of both teams, you have to find the maximum number of rounds team A can win. Note that a player cannot play more than 1 round.Input FormatThe first line of input contains T - the number of test cases. It's followed by 3T lines. The first line contains the N - the size of the team. The next 2 lines contain N numbers each - the strength of the players of team A and team B respectively.Output FormatFor each test case, print the maximum number of rounds team A can win, separated by a new line.Constraints1 <= T <= 5001 <= N <= 100000 <= A[i], B[i] <= 10000ExampleInput341 5 7 4 3 8 2 10 22 3 10 5 33 7 10 5 20 15 Output201ExplanationTest-Case 1Player with strength 5 in team A can defeat player with strength 3 in team B.Player with strength 7 in team A can defeat player with strength 2 in team B.Test-Case 2No Player in team A can defeat any player in team B.Test-Case 3Player with strength 7 in team A can defeat player with strength 5 in team B.

Question

There are 2 teams, each having N players. There will be N rounds played between the 2 teams. In every round, a player from team A plays against a player from team B. The more powerful player wins the game. Given the strength of the players of both teams, you have to find the maximum number of rounds team A can win. Note that a player cannot play more than 1 round.Input FormatThe first line of input contains T - the number of test cases. It's followed by 3T lines. The first line contains the N - the size of the team. The next 2 lines contain N numbers each - the strength of the players of team A and team B respectively.Output FormatFor each test case, print the maximum number of rounds team A can win, separated by a new line.Constraints1 <= T <= 5001 <= N <= 100000 <= A[i], B[i] <= 10000ExampleInput341 5 7 4 3 8 2 10 22 3 10 5 33 7 10 5 20 15 Output201ExplanationTest-Case 1Player with strength 5 in team A can defeat player with strength 3 in team B.Player with strength 7 in team A can defeat player with strength 2 in team B.Test-Case 2No Player in team A can defeat any player in team B.Test-Case 3Player with strength 7 in team A can defeat player with strength 5 in team B.

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Solution 1

This problem can be solved using a priority queue or multiset in C++ STL. Here are the steps to solve this problem:

  1. First, read the number of test cases, T.

  2. For each test case, read the size of the team, N.

  3. Then, read the strength of the players of team A and team B respectively.

  4. Store the strength of the players of both teams in two multiset or priority queue in descending order. This is because we want to always select the player with the highest strength available.

  5. Initialize a counter to keep track of the number of rounds team A can win.

  6. Now, for each round, remove the player with the highest strength from team A. Then, find the player in team B who has the highest strength that is less than or equal to the strength of the player from team A. If such a player exists, remove him from team B and increment the counter. If no such player exists, simply remove the player with the lowest strength from team B.

  7. Repeat step 6 for all rounds.

  8. Finally, print the counter which represents the maximum number of rounds team A can win.

This algorithm ensures that for each round, we always select the player from team A with the highest strength and the player from team B with the highest strength that is less than or equal to the strength of the player from team A. This guarantees that we maximize the number of rounds team A can win.

This problem has been solved

Solution 2

This problem can be solved using a priority queue or multiset in C++ STL. Here are the steps to solve this problem:

  1. First, read the number of test cases, T.

  2. For each test case, read the size of the team, N.

  3. Read the strength of the players of team A and team B and store them in two separate vectors or arrays.

  4. Sort both arrays in descending order. This is because we want to match the strongest player of team A with the strongest player of team B, and so on.

  5. Initialize a counter to keep track of the number of rounds team A can win.

  6. Iterate over the players in team A. For each player, find the player in team B who has the closest strength that is less than or equal to the current player's strength. If such a player

This problem has been solved

Solution 3

This problem can be solved using a priority queue or sorting algorithm. Here are the steps to solve this problem:

  1. Parse the input. The first line of input contains T - the number of test cases. For each test case, the first line contains N - the size of the team. The next 2 lines contain N numbers each - the strength of the players of team A and team B respectively.

  2. For each test case, sort the strengths of the players in both teams in descending order. This can be done using a sorting algorithm.

  3. Initialize a counter to keep track of the number of rounds team A can win.

  4. Iterate through the sorted strengths of the players in team A. For each player in team A, compare their strength with the strength of the player in team B with the highest strength (which is the first player in the sorted list of team B

This problem has been solved

Similar Questions

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There are n teams numbered from 0 to n - 1 in a tournament.Given a 0-indexed 2D boolean matrix grid of size n * n. For all i, j that 0 <= i, j <= n - 1 and i != j team i is stronger than team j if grid[i][j] == 1, otherwise, team j is stronger than team i.Team a will be the champion of the tournament if there is no team b that is stronger than team a.Return the team that will be the champion of the tournament.

A contest is open to teams of 10 people each.Let t represent the number of teams entering the contest and p represent the total number of people.This relationship can also be shown in a table. Complete the equation that represents the relationship between t and p.t p1 102 203 304 40p=

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Two teams are playing tug-of-war. The number of people on both sides is given as input. After that, the weight of each person in the first team and the weight of each person in the second team are given. If the number of people in each team is not equal, two teams are not equal. If the number of people in each team is equal and the weight of each person in the first team matches the weight of each person in the second team, then print that the teams are equal.If the third person on the first team has a weight of 65, the third person on the second team also should have a weight of 65Explanation:33102030102030The first 3 are the number of people on team 1.The second 3 is the number of people on team 2Input format :The first n line of input consists of the number of people on team 1The second n line of inputs consists of the number of people on team 2Output format :The output prints whether the two teams are equal or not.Sample test cases :Input 1 :33102030102030Output 1 :Teams are equal.Input 2 :3410203010203040Output 2 :Teams are not equal.

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