How to resolve the algorithm Round-robin tournament schedule step by step in the J programming language

Published on 12 May 2024 09:40 PM
#J

How to resolve the algorithm Round-robin tournament schedule step by step in the J programming language

Table of Contents

Problem Statement

A round-robin tournament is also known as an all-play-all-tournament; each participant plays every other participant once. For N participants the number of rounds is N-1 if N is an even number. When there are an odd number of participants then each round one contestor has no opponent (AKA as a "bye"). The number of rounds is N in that case. Write a program that prints out a tournament schedule for 12 participants (represented by numbers 1 to 12).

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Round-robin tournament schedule step by step in the J programming language

Source code in the j programming language

circ=: {{
  if. 1=2|y do.
    assert. 1<y
    <:(#~ [: */"1 *)"2 circ y+1
  else.
    ids=. i.y
    (-:y) ({.,.|.@}.)"_1] 0,.(}:ids)|."0 1}.ids
  end.
}}


   rplc&'j:'"1":j./"1>:circ 12
1:12  2:11 3:10  4:9  5:8   6:7
 1:2  3:12 4:11 5:10  6:9   7:8
 1:3   4:2 5:12 6:11 7:10   8:9
 1:4   5:3  6:2 7:12 8:11  9:10
 1:5   6:4  7:3  8:2 9:12 10:11
 1:6   7:5  8:4  9:3 10:2 11:12
 1:7   8:6  9:5 10:4 11:3  12:2
 1:8   9:7 10:6 11:5 12:4   2:3
 1:9  10:8 11:7 12:6  2:5   3:4
1:10  11:9 12:8  2:7  3:6   4:5
1:11 12:10  2:9  3:8  4:7   5:6


   ,/"2(' ',_2&{.@[,':',2&{.@])&":/"1>:circ 12
  1:12  2:11  3:10  4:9   5:8   6:7 
  1:2   3:12  4:11  5:10  6:9   7:8 
  1:3   4:2   5:12  6:11  7:10  8:9 
  1:4   5:3   6:2   7:12  8:11  9:10
  1:5   6:4   7:3   8:2   9:12 10:11
  1:6   7:5   8:4   9:3  10:2  11:12
  1:7   8:6   9:5  10:4  11:3  12:2 
  1:8   9:7  10:6  11:5  12:4   2:3 
  1:9  10:8  11:7  12:6   2:5   3:4 
  1:10 11:9  12:8   2:7   3:6   4:5 
  1:11 12:10  2:9   3:8   4:7   5:6

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