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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 the 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 FormatFirst line of input contains T - number of test cases. Its followed by 3T lines. The first line contains N - size of the team. The next 2 lines contains N numbers each - strength of the players of team A and team B respectively.Constraints1 <= T <= 5001 <= N <= 100000 <= A[i], B[i] <= 10000Output FormatFor each test case, print the maximum number of rounds team A can win, separated by newline.Sample Input 0341 5 7 4 3 8 2 10 22 3 10 5 33 7 10 5 20 15 Sample Output 0201Explanation 0Test 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 the 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 FormatFirst line of input contains T - number of test cases. Its followed by 3T lines. The first line contains N - size of the team. The next 2 lines contains N numbers each - strength of the players of team A and team B respectively.Constraints1 <= T <= 5001 <= N <= 100000 <= A[i], B[i] <= 10000Output FormatFor each test case, print the maximum number of rounds team A can win, separated by newline.Sample Input 0341 5 7 4 3 8 2 10 22 3 10 5 33 7 10 5 20 15 Sample Output 0201Explanation 0Test 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

This problem can be solved using a priority queue or multiset in C++ STL. The steps are as follows:

  1. Read the number of test cases.
  2. For each test case, read the number of players in each team.
  3. Read the strength of the players of team A and team B respectively.
  4. Sort the strength of the players of both teams in descending order.
  5. Initialize a counter to 0 to keep track of the number of rounds team A can win.
  6. For each player in team A, find the player in team B who has the least strength that is still greater than the current player in team A. If such a player exists, remove him from team B. If no such player exists, remove the player with the least strength from team B and increment the counter.
  7. Print the counter which represents the maximum number of rounds team A can win.

This algorithm works because in each round, team A wants to maximize the number of rounds they can win. To do this, they should always try to defeat the player in team B with the least strength that is still greater than the current player in team A. If no such player exists, they can easily defeat the player with the least strength in team B.

This problem has been solved

Similar Questions

You are organizing a series of game rounds for a tournament, with each round represented by a team number by English alphabetical letter. However, there's a constraint: according to the game rules, rounds for the same team must be separated by at least n intervals to ensure fair gameplay which is under game rules. Your task is to determine the minimum number of intervals required to complete all the game rounds, considering the constraint on the separation of rounds for the same team. Example 1: Input: ["A","A","A","B","B","B"] 2 Output: 8 Explanation: A possible sequence is: A -> B -> idle -> A -> B -> idle -> A -> B. After participate team A, you must wait two cycles before participating A again. The same applies to team B. In the 3rd interval, neither A nor B can be done, so you idle. By the 4th cycle, you can do A again as 2 intervals have passed. Example 2: Input: ["A","C","A","B","D","B"] 1 Output: 6 Explanation: A possible sequence is: A -> B -> C -> D -> A -> B. With a interval of 1, you can participate a team after just one other round. Example 3: Input: ["A","A","A", "B","B","B"] 3 Output: 10 Explanation: A possible sequence is: A -> B -> idle -> idle -> A -> B -> idle -> idle -> A -> B. There are only two types of teams, A and B, which need to be separated by 3 intervals. This leads to idling twice between repetitions of these team rounds. Input Format First-line contains an array of teams The second line contains n as the interval Constraints 1 <= rounds.length <= 104 teams[i] is an uppercase English letter. 0 <= n <= 100 Output Format n Sample Input 0 ["A","A","A","B","B","B"] 2 Sample Output 0 8 Sample Input 1 ["A","C","A","B","D","B"] 1 Sample Output 1 6 Sample Input 2 ['Y', 'K', 'F', 'H', 'K', 'W', 'W', 'C', 'H', 'N', 'A', 'B', 'P', 'B', 'B', 'G', 'X', 'Z', 'O', 'X', 'C', 'C', 'P', 'X', 'N', 'O', 'Y', 'R', 'G', 'U', 'O', 'P', 'U', 'S', 'T', 'K', 'E', 'F', 'G', 'N', 'T', 'O', 'W', 'B', 'A', 'B', 'W', 'S', 'Y', 'M', 'P', 'I', 'M', 'O', 'K', 'Z', 'G', 'H', 'U', 'I', 'I', 'M', 'X', 'Y', 'D', 'B', 'K', 'T', 'H', 'J', 'L', 'I', 'M'] 96 Sample Output 2 486

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.

There is a cricket match going on between two teams 𝐴A and 𝐵B.Team 𝐵B is batting second and got a target of 𝑋X runs. Currently, team 𝐵B has scored 𝑌Y runs. Determine how many more runs Team 𝐵B should score to win the match.Note: The target score in cricket matches is one more than the number of runs scored by the team that batted first.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of two space-separated integers 𝑋X and 𝑌Y, the target for team 𝐵B and the current score of team 𝐵B respectively.Output FormatFor each test case, output how many more runs team 𝐵B should score to win the match.Constraints1≤𝑇≤101≤T≤1050≤𝑌<𝑋≤20050≤Y<X≤200Sample 1:InputOutput4200 50100 99130 9753 511501332Explanation:Test case 11: The target is 200200 runs and team 𝐵B has already made 5050 runs. Thus, the team needs to make 200−50=150200−50=150 runs more, to win the match.Test case 22: The target is 100100 runs and team 𝐵B has already made 9999 runs. Thus, the team needs to make 100−99=1100−99=1 runs more, to win the match.Test case 33: The target is 130130 runs and team 𝐵B has already made 9797 runs. Thus, the team needs to make 130−97=33130−97=33 runs more, to win the match.Test case 44: The target is 5353 runs and team 𝐵B has already made 5151 runs. Thus, the team needs to make 53−51=253−51=2 runs more, to win the match.

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.

Problem StatementIn a gaming tournament, players are ranked in ascending order based on their scores. Your task is to design a program using binary search to determine the score of the player positioned at the kth place, enabling the organizers to swiftly identify individual performance levels. The program takes the total number of players, their sorted scores, and the rank (k) as input, and outputs the score of the player ranked at the kth position(position value starts from 1).Input format :The first line of input consists of an integer N, representing the total number of players in the tournament.The second line consists of N distinct space-separated integers, representing the sorted list of players' scores.The third line consists of an integer k, representing the rank of the player whose score needs to be determined.Output format :The output prints a single integer, representing the score of the player ranked at position k in the tournament.Code constraints :1 ≤ N ≤ 101 ≤ score ≤ 1001 ≤ k ≤ NSample test cases :Input 1 :712 15 34 47 49 57 583Output 1 :34Input 2 :624 25 37 48 98 995Output 2 :98

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