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:

 



s
t
a
t

e

n
+
1


≡
214013
×
s
t
a
t

e

n


+
2531011


(
mod


2

31


)



{\displaystyle state_{n+1}\equiv 214013\times state_{n}+2531011{\pmod {2^{31}}}}


 



r
a
n

d

n


=
s
t
a
t

e

n


÷

2

16




{\displaystyle rand_{n}=state_{n}\div 2^{16}}


 



r
a
n

d

n




{\displaystyle rand_{n}}

 is in range 0 to 32767.
 Rosetta Code has another task, linear congruential generator, with code for this RNG in several languages.


The algorithm follows:

 Seed the RNG with the number of the deal.
 Create an array of 52 cards: Ace of Clubs, Ace of Diamonds, Ace of Hearts, Ace of Spades, 2 of Clubs, 2 of Diamonds, and so on through the ranks: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King. The array indexes are 0 to 51, with Ace of Clubs at 0, and King of Spades at 51.
 Until the array is empty:
 Choose a random card at index ≡ next random number (mod array length).
 Swap this random card with the last card of the array.
 Remove this random card from the array. (Array length goes down by 1.)
 Deal this random card.
 Deal all 52 cards, face up, across 8 columns. The first 8 cards go in 8 columns, the next 8 cards go on the first 8 cards, and so on.


 Order to deal cards

 Game #1

 Game #617


  1  2  3  4  5  6  7  8
 9 10 11 12 13 14 15 16
17 18 19 20 21 22 23 24
25 26 27 28 29 30 31 32
33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48
49 50 51 52

 JD 2D 9H JC 5D 7H 7C 5H
KD KC 9S 5S AD QC KH 3H
2S KS 9D QD JS AS AH 3C
4C 5C TS QH 4H AC 4D 7S
3S TD 4S TH 8H 2C JH 7D
6D 8S 8D QS 6C 3D 8C TC
6S 9C 2H 6H

 7D AD 5C 3S 5S 8C 2D AH
TD 7S QD AC 6D 8H AS KH
TH QC 3H 9D 6S 8D 3D TC
KD 5H 9S 3C 8S 7H 4D JS
4C QS 9C 9H 7C 6H 2C 2S
4S TS 2H 5D JC 6C JH QH
JD KS KC 4H

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:

 Playing cards
 Card shuffles
 War Card_Game
 Poker hand_analyser
 Go Fish


sub dealgame ($game-number = 1) {
    sub ms-lcg-method($seed = $game-number) { ( 214013 * $seed + 2531011 ) % 2**31 }
 
    # lazy list of the random sequence
    my @ms-lcg = |(&ms-lcg-method ... *).map: * +> 16;
 
    constant CardBlock = '🂠'.ord;
    my @deck = gather for flat(1..11,13,14) X+ (48,32...0) -> $off {
        take chr CardBlock + $off;
    }
 
    my @game = gather while @deck {
        @deck[@ms-lcg.shift % @deck, @deck-1] .= reverse;
        take @deck.pop;
    }
 
    say "Game #$game-number";
    say @game.splice(0, 8 min +@game) while @game;
}
 
dealgame;
dealgame 617;