How to resolve the algorithm World Cup group stage step by step in the Kotlin programming language
How to resolve the algorithm World Cup group stage step by step in the Kotlin programming language
Table of Contents
Problem Statement
It's World Cup season (or at least it was when this page was created)! The World Cup is an international football/soccer tournament that happens every 4 years. Countries put their international teams together in the years between tournaments and qualify for the tournament based on their performance in other international games. Once a team has qualified they are put into a group with 3 other teams. For the first part of the World Cup tournament the teams play in "group stage" games where each of the four teams in a group plays all three other teams once. The results of these games determine which teams will move on to the "knockout stage" which is a standard single-elimination tournament. The two teams from each group with the most standings points move on to the knockout stage. Each game can result in a win for one team and a loss for the other team or it can result in a draw/tie for each team.
Don't worry about tiebreakers as they can get complicated. We are basically looking to answer the question "if a team gets x standings points, where can they expect to end up in the group standings?". Hint: there should be no possible way to end up in second place with less than two points as well as no way to end up in first with less than three. Oddly enough, there is no way to get 8 points at all.
Let's start with the solution:
Step by Step solution about How to resolve the algorithm World Cup group stage step by step in the Kotlin programming language
The provided code is a Kotlin program that simulates a simple sports tournament and calculates the points earned by four teams based on the results of six games played between them. Each game is represented by a two-digit string, where the first digit indicates the team that won and the second digit indicates the team that lost. For example, the string "12" represents a game won by team 1 over team 2.
The program uses an array games
to store the game results and a string results
to keep track of the outcomes of all six games. The nextResult()
function is used to generate the next possible combination of game outcomes. The program continues to generate new combinations and calculate points until there are no more possible combinations.
The records
array is used to store the number of points earned by each team in each game. The sort()
function is used to sort the array in descending order, and the points
array is used to accumulate the total points earned by each team.
Finally, the program prints out a table showing the points earned by each team and their corresponding places in the tournament.
Here is a detailed explanation of the code:
- The
games
array stores the game results. Each game is represented by a two-digit string, where the first digit indicates the team that won and the second digit indicates the team that lost. For example, the string "12" represents a game won by team 1 over team 2. - The
results
string is used to keep track of the outcomes of all six games. The string is initially set to "000000", which represents a state where no games have been played. - The
nextResult()
function is used to generate the next possible combination of game outcomes. The function increments the integer value of theresults
string by 1 and converts it back to a string. The new string is padded with leading zeros to ensure that it is always six characters long. The function returnsfalse
if theresults
string is equal to "222222", which represents the state where all games have been won by the same team. - The
main()
function is the entry point of the program. - The
points
array is used to accumulate the total points earned by each team. The array is initialized with zeros. - The
do-while
loop is used to generate all possible combinations of game outcomes and calculate the points earned by each team. - The
records
array is used to store the number of points earned by each team in each game. - The
for
loop iterates over the six games. - The
when
statement is used to determine the number of points earned by each team in each game based on the outcome of the game. - The
sort()
function is used to sort therecords
array in descending order. - The
for
loop iterates over the four teams and prints out the points earned by each team and their corresponding places in the tournament.
Output:
POINTS 0 1 2 3 4 5 6 7 8 9
-------------------------------------------------------------
1st place 2 8 16 19 16 10 4 0 0 0
2nd place 2 5 12 12 10 6 2 0 0 0
3rd place 2 2 6 6 4 2 0 0 0 0
4th place 2 0 0 0 0 0 0 0 0 0
Source code in the kotlin programming language
// version 1.1.2
val games = arrayOf("12", "13", "14", "23", "24", "34")
var results = "000000"
fun nextResult(): Boolean {
if (results == "222222") return false
val res = results.toInt(3) + 1
results = res.toString(3).padStart(6, '0')
return true
}
fun main(args: Array<String>) {
val points = Array(4) { IntArray(10) }
do {
val records = IntArray(4)
for (i in 0..5) {
when (results[i]) {
'2' -> records[games[i][0] - '1'] += 3
'1' -> { records[games[i][0] - '1']++ ; records[games[i][1] - '1']++ }
'0' -> records[games[i][1] - '1'] += 3
}
}
records.sort()
for (i in 0..3) points[i][records[i]]++
}
while(nextResult())
println("POINTS 0 1 2 3 4 5 6 7 8 9")
println("-------------------------------------------------------------")
val places = arrayOf("1st", "2nd", "3rd", "4th")
for (i in 0..3) {
print("${places[i]} place ")
points[3 - i].forEach { print("%-5d".format(it)) }
println()
}
}
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