You are organizing a football tournament. The tournament is held in the all-play-all format, that is, each team must play each team exactly 1 time.

For example, if there are 4 teams in the tournament (let’s denote them A, B, C, D), then the game scheme will look like this:

Round 1: AB, CD

Round 2: AC, BD

Round 3: AD, BC

Thus, the tournament will consist of three rounds.

It is necessary to implement a function that gets the number of teams (always a positive and even number) and returns the schedule of games for each round in the form of a matrix.

Each row of the matrix represents one round. Each column of the matrix represents a pair of playing teams. The match is presented as an array with two teams. The names of the teams are given in numbers from 1 to n, where n is the number of teams.

Sample Input:

2
Sample Output:

[[(1, 2)]]
**AND WE HAVE THESE CODE, THAT IS NOT WORKING **

def build_matches_table(t):
    teams = list(range(1, t + 1))
    ans = []
    for round_num in range(t - 1):
        round_pairs = []
        for i in range(t // 2):
            round_pairs.append((teams[i], teams[t - i - 1]))
        ans.append(round_pairs)
        teams = [teams[0]] + teams[2:] + [teams[1]]
    
    return ans

t = int(input())

if t % 2 != 0:
    print()

else:
    matches_table = build_matches_table(t)
    print("[")
    for round_pairs in matches_table:
        print(f"  {round_pairs},")
    print("]")

we tried these code too and it still didn’t worked because is’s needs to be like a matrix

def round_robin_schedule(num_teams):
    # If odd number of teams, add a dummy team (represented by 0)
    if num_teams % 2 != 0:
        num_teams += 1
        teams = list(range(1, num_teams)) + [0]
    else:
        teams = list(range(1, num_teams + 1))

    num_rounds = num_teams - 1
    schedule = []

    for round_num in range(num_rounds):
        round_matches = []
        for i in range(len(teams) // 2):
            team1 = teams[i]
            team2 = teams[-1 - i]
            if team1 != 0 and team2 != 0:
                round_matches.append((team1, team2))

        schedule.append(round_matches)

        # Rotate teams, except for the first one
        teams = [teams[0]] + teams[-1:] + teams[1:-1]

    return schedule


schedule = int(input()) 
print(schedule)