In a tournament, each of the six teams A,B,C,D,E and F plays one matchagainst every other team. In each round of matches, three take placessimultaneously. A TV station has already decided which match it willbroadcast for each round, as shown in the table. In which round willteam D play against team F?ﻓﻲ ﺑﻄﻮﻟﺔ، ﺑﺤﻴﺚ ﻳﻠﻌﺐ ﻛﻞ ﻓﺮﻳﻖ ﻣﺒﺎﺭﺍﺓ ﻭﺍﺣﺪﺓ ﻓﻘﻂ A,B,C,D,E,F ﺗﺸﺎﺭﻙ ﺳﺖ ﻓﺮﻕﺿﺪ ﻛﻞ ﻓﺮﻳﻖ ﻣﻦ ﺍﻟﻔﺮﻕ ﺍﻷﺧﺮﻯ. ﻓﻲ ﻛﻞ ﺟﻮﻟﺔ ﻣﻦ ﺍﻟﺒﻄﻮﻟﺔ ﻳﺘﻢ ﺇﻗﺎﻣﺔ ﺛﻼﺙ ﻣﺒﺎﺭﻳﺎﺕﻣﺘﺰﺍﻣﻨﺔ )ﻓﻲ ﻧﻔﺲ ﺍﻟﻮﻗﺖ(. ﻗﺮﺭﺕ ﻗﻨﺎﺓ ﺗﻠﻔﺰﻳﻮﻧﻴﺔ ﺑﺚ ﻣﺒﺎﺭﺍﺓ ﻭﺍﺣﺪﺓ ﻣﻦ ﻛﻞ ﺟﻮﻟﺔ ﻛﻤﺎ؟F ﺿﺪ ﺍﻟﻔﺮﻳﻖ D ﻣﻮﺿﺢ ﻓﻲ ﺍﻟﺠﺪﻭﻝ. ﻓﻲ ﺃﻱ ﺟﻮﻟﺔ ﻳﻠﻌﺐ ﺍﻟﻔﺮﻳﻖ2 3 4 515 point problems ﻧﻘﺎﻁ ﻟﻜﻞ ﺳﺆﺍﻝ 51 2 3 4 5A – B C – D A – E E – F A – C

In a game show called “Squad Game”, there are n contestants labelled 1 to n, in a circle.Moving clockwise around the circle, starting with contestant 1, each contestant k who has not yet been eliminated nominates a contestant (which may be themselves) for possible elimination. Contestant k then rolls a fair 6-sided die, and if the result is a 6, then the nominated player is eliminated from the game. Play continues in this way until a fixed number L < n of players have been eliminated.(a) Suppose that we watch this game and observe the labels of the L players eliminated in the order in which they were eliminated. Describe a suitable sample space for this experiment.(b) Suppose instead that we watch such a game and observe only the labels of the L players eliminated. Describe a suitable sample space for this experiment.(c) Suppose instead that we watch such a game and observe only whether player 1 is eliminated. Describe a suitable sample space for this experiment.(d) Suppose that each player nominates a uniformly chosen player among those who have not yet been eliminated (i.e. if j < L players have been eliminated then the player whose turn it currently rolls a fair (n − j)-sided die to determine who they will nominate). Find the probability of each sample point in the three experiments (a)-(c) above.

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 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.

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.

Which stage do some teams never make it out of? Select one: a. Performing b. Storming c. Forming d. Norming