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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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use Random;
param doors: int = 3;
config const games: int = 1000;
config const maxTasks = 32;
var numTasks = 1;
while( games / numTasks > 1000000 && numTasks < maxTasks ) do numTasks += 1;
const tasks = 1..#numTasks;
const games_per_task = games / numTasks ;
const remaining_games = games % numTasks ;
var wins_by_stay: [tasks] int;
coforall task in tasks {
var rand = new RandomStream();
for game in 1..#games_per_task {
var player_door = (rand.getNext() * 1000): int % doors ;
var winning_door = (rand.getNext() * 1000): int % doors ;
if player_door == winning_door then
wins_by_stay[ task ] += 1;
}
if task == tasks.last then {
for game in 1..#remaining_games {
var player_door = (rand.getNext() * 1000): int % doors ;
var winning_door = (rand.getNext() * 1000): int % doors ;
if player_door == winning_door then
wins_by_stay[ task ] += 1;
}
}
}
var total_by_stay = + reduce wins_by_stay;
var total_by_switch = games - total_by_stay;
var percent_by_stay = ((total_by_stay: real) / games) * 100;
var percent_by_switch = ((total_by_switch: real) / games) * 100;
writeln( "Wins by staying: ", total_by_stay, " or ", percent_by_stay, "%" );
writeln( "Wins by switching: ", total_by_switch, " or ", percent_by_switch, "%" );
if ( total_by_stay > total_by_switch ){
writeln( "Staying is the superior method." );
} else if( total_by_stay < total_by_switch ){
writeln( "Switching is the superior method." );
} else {
writeln( "Both methods are equal." );
}