Data update

This commit is contained in:
Ingy döt Net 2026-02-01 16:33:20 -08:00
parent 5150844a7d
commit 4bb20c9b71
7735 changed files with 38060 additions and 199180 deletions

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@ -1,35 +0,0 @@
IDENTIFICATION DIVISION.
PROGRAM-ID. Pancake.
DATA DIVISION.
WORKING-STORAGE SECTION.
01 I PIC 9 VALUE 0.
01 J PIC 9 VALUE 0.
01 N PIC 99 VALUE 0.
01 C PIC 99 VALUE 0.
01 P PIC 99 VALUE 0.
01 GAP PIC 99 VALUE 2.
01 SUMA PIC 99 VALUE 2.
01 ADJ PIC S99 VALUE -1.
PROCEDURE DIVISION.
PERFORM VARYING I FROM 0 BY 1 UNTIL I > 3
PERFORM VARYING J FROM 1 BY 1 UNTIL J > 5
COMPUTE N = (I * 5) + J
ADD 1 TO C
PERFORM PANCAKE-CALCULATION
DISPLAY "P(" N ") = " P
END-PERFORM
END-PERFORM
STOP RUN.
PANCAKE-CALCULATION.
MOVE 2 TO GAP
MOVE 2 TO SUMA
MOVE -1 TO ADJ
PERFORM UNTIL SUMA >= N
ADD 1 TO ADJ
COMPUTE GAP = (GAP * 2) - 1
ADD GAP TO SUMA
END-PERFORM
COMPUTE P = N + ADJ.

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use strict;
#!/usr/bin/perl
use strict; # https://rosettacode.org/wiki/Pancake_numbers
use warnings;
use feature 'say';
sub pancake {
my($n) = @_;
my ($gap, $sum, $adj) = (2, 2, -1);
while ($sum < $n) { $sum += $gap = $gap * 2 - 1 and $adj++ }
$n + $adj;
}
my $out;
$out .= sprintf "p(%2d) = %2d ", $_, pancake $_ for 1..20;
say $out =~ s/.{1,55}\K /\n/gr;
# Maximum number of flips plus examples using exhaustive search
sub pancake2 {
my ($n) = @_;
my $numStacks = 1;
my @goalStack = 1 .. $n;
my %newStacks = my %stacks = (join(' ',@goalStack), 0);
for my $k (1..1000) {
my %nextStacks;
for my $pos (2..$n) {
for my $key (keys %newStacks) {
my @arr = split ' ', $key;
my $cakes = join ' ', (reverse @arr[0..$pos-1]), @arr[$pos..$#arr];
$nextStacks{$cakes} = $k unless $stacks{$cakes};
}
}
%stacks = (%stacks, (%newStacks = %nextStacks));
my $perms = scalar %stacks;
my %inverted = reverse %stacks;
return $k-1, $inverted{(sort keys %inverted)[-1]} if $perms == $numStacks;
$numStacks = $perms;
}
}
say "\nThe maximum number of flips to sort a given number of elements is:";
for my $n (1..9) {
my ($a,$b) = pancake2($n);
say "pancake($n) = $a example: $b";
}
for my $n ( 1 .. 9 )
{
my @queue = my $last = join '', map chr 96 + $_, 1 .. $n;
my %seen = ($last => '');
while( @queue )
{
my ($stack, @flips) = split ' ', shift @queue;
for my $flip ( 2 .. $n )
{
my $new = (reverse substr $stack, 0, $flip) . substr $stack, $flip;
defined $seen{$new} or
push @queue, $last = $seen{$new} = "$new $flip @flips";
}
}
my ($stack, @flips) = split ' ', $last;
printf "%9s ", $stack;
printf "size %d score: %2d flip the top %s\n", $n, @flips + 0, "@flips";
}