How to resolve the algorithm Deal cards for FreeCell step by step in the PARI/GP programming language

Published on 12 May 2024 09:40 PM

How to resolve the algorithm Deal cards for FreeCell step by step in the PARI/GP programming language

Table of Contents

Problem Statement

Free Cell is the solitaire card game that Paul Alfille introduced to the PLATO system in 1978. Jim Horne, at Microsoft, changed the name to FreeCell and reimplemented the game for DOS, then Windows. This version introduced 32000 numbered deals. (The FreeCell FAQ tells this history.) As the game became popular, Jim Horne disclosed the algorithm, and other implementations of FreeCell began to reproduce the Microsoft deals. These deals are numbered from 1 to 32000. Newer versions from Microsoft have 1 million deals, numbered from 1 to 1000000; some implementations allow numbers outside that range. The algorithm uses this linear congruential generator from Microsoft C:

The algorithm follows: Deals can also be checked against FreeCell solutions to 1000000 games. (Summon a video solution, and it displays the initial deal.) Write a program to take a deal number and deal cards in the same order as this algorithm. The program may display the cards with ASCII, with Unicode, by drawing graphics, or any other way. Related tasks:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Deal cards for FreeCell step by step in the PARI/GP programming language

Source code in the pari/gp programming language

card(n)=concat(["A","2","3","4","5","6","7","8","9","T","J","Q","K"][n\4+1],["C","D","H","S"][n%4+1]);
nextrand()={
  (state=(214013*state+2531011)%2^31)>>16
};
deal(seed)={
  my(deck=vector(52,n,n-1),t);
  local(state=seed);
  forstep(last=52,1,-1,
    t=nextrand()%last+1;
    print1(card(deck[t]),if(last%8==5,"\n"," "));
    deck[t]=deck[last]
  )
};

  

You may also check:How to resolve the algorithm String concatenation step by step in the Retro programming language
You may also check:How to resolve the algorithm ABC problem step by step in the OpenEdge/Progress programming language
You may also check:How to resolve the algorithm Super-d numbers step by step in the Kotlin programming language
You may also check:How to resolve the algorithm Inheritance/Multiple step by step in the Perl programming language
You may also check:How to resolve the algorithm Zero to the zero power step by step in the VBScript programming language