Rosetta Code/Tasks without examples: Difference between revisions

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}

var url = "~~http~~://rosettacode.org/wiki/Category:Programming_Tasks"

var url = "https://rosettacode.org/wiki/Category:Programming_Tasks"

var content = getContent.call(url)

var p1 = Pattern.new("<li><a href/=\"//wiki//[+1^\"]\"")

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var tasks = matches.map { |m| m.capsText[0] }.toList

for (task in tasks.take(3)) { // just show the first 3 say

var taskUrl = "~~http~~://rosettacode.org/wiki/" + task

var taskUrl = "https://rosettacode.org/wiki/" + task

var html = getContent.call(taskUrl)

var text = "using any language you may know.</div>"

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****** 100 doors ******

There are 100 doors in a row that are all initially closed.

You make 100 passes by the doors.

The first time through, visit every door and toggle the door (if the door is closed, open it; if it is open, close it).

The second time, only visit every 2nd door (door #2, #4, #6, ...), and toggle it.

The third time, visit every 3rd door (door #3, #6, #9, ...), etc, until you only visit the 100th door.

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Answer the question: what state are the doors in after the last pass? Which are open, which are closed?

Alternate:

As noted in this page's discussion page, the only doors that remain open are those whose numbers are perfect squares.

Opening only those doors is an optimization that may also be expressed;

however, as should be obvious, this defeats the intent of comparing implementations across programming languages.

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The Problem

100 prisoners are individually numbered 1 to 100

A room having a cupboard of 100 opaque drawers numbered 1 to 100, that cannot be seen from outside.

Cards numbered 1 to 100 are placed randomly, one to a drawer, and the drawers all closed; at the start.

Prisoners start outside the room

They can decide some strategy before any enter the room.

Prisoners enter the room one by one, can open a drawer, inspect the card number in the drawer, then close the drawer.

A prisoner can open no more than 50 drawers.

A prisoner tries to find his own number.

A prisoner finding his own number is then held apart from the others.

If all 100 prisoners find their own numbers then they will all be pardoned. If any don't then all sentences stand.

The task

Simulate several thousand instances of the game where the prisoners randomly open drawers

Simulate several thousand instances of the game where the prisoners use the optimal strategy mentioned in the Wikipedia article, of:

First opening the drawer whose outside number is his prisoner number.

If the card within has his number then he succeeds otherwise he opens the drawer with the same number as that of the revealed card. (until he opens his maximum).

Show and compare the computed probabilities of success for the two strategies, here, on this page.

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References

The unbelievable solution to the 100 prisoner puzzle standupmaths (Video).

wp:100 prisoners problem

100 Prisoners Escape Puzzle DataGenetics.

Random permutation statistics#One hundred prisoners on Wikipedia.

****** 15 puzzle game ******

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Implement the Fifteen Puzzle Game.

The 15-puzzle is also known as:

Fifteen Puzzle

Gem Puzzle

Boss Puzzle

Game of Fifteen

Mystic Square

14-15 Puzzle

and some others.

Related Tasks

15 Puzzle Solver

16 Puzzle Game

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