12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455565758596061626364656667686970717273747576777879808182838485868788899091929394959697 |
- #!/usr/bin/perl
- # Author: Daniel "Trizen" Șuteu
- # License: GPLv3
- # Date: 09 July 2015
- # Website: https://github.com/trizen
- # Split a semiprime into a group of equations.
- use 5.016;
- use strict;
- use integer;
- use warnings;
- sub semiprime_equationization {
- my ($semiprime, $xlen, $ylen) = @_;
- $xlen -= 1;
- $ylen -= 1;
- my @map;
- my $mem = '0';
- my @result;
- my %vars;
- foreach my $j (0 .. $ylen) {
- foreach my $i (0 .. $xlen) {
- my $expr = '(' . join(' + ', "(x[$i] * y[$j])", grep { $_ ne '0' } $mem) . ')';
- $vars{"xy$i$j"} = $expr;
- my $n = "xy$i$j";
- if ($i == $xlen) {
- push @{$map[$j]}, "($n % 10)", "int($n / 10)";
- $mem = '0';
- }
- else {
- push @{$map[$j]}, "($n % 10)";
- $mem = "int($n / 10)";
- }
- }
- my $n = $ylen - $j;
- if ($n > 0) {
- push @{$map[$j]}, ((0) x $n);
- }
- my $m = $ylen - $n;
- if ($m > 0) {
- unshift @{$map[$j]}, ((0) x $m);
- }
- }
- my @number = reverse split //, $semiprime;
- my @mrange = (0 .. $#map);
- my %seen;
- my $initializer = sub {
- my ($str) = @_;
- while ($str =~ /\b(xy\d+)/g) {
- if (not $seen{$1}++) {
- my $init = "$1 = $vars{$1}";
- __SUB__->($init);
- push @result, $init;
- }
- }
- };
- foreach my $i (0 .. $#number) {
- my $expr = '(' . join(' + ', grep { $_ ne '0' } (map { $map[$_][$i] } @mrange), $mem) . ')';
- $initializer->($expr);
- push @result, "n$i = $expr";
- my $n = "n$i";
- if ($i == 0 or $i == $#number) {
- push @result, "$number[$i] = $n";
- $mem = '0';
- }
- else {
- push @result, "$number[$i] = ($n % 10)";
- $mem = "int($n / 10)";
- }
- }
- return @result;
- }
- # 71 * 43
- #say for semiprime_equationization('3053', 2, 2);
- # 251 * 197
- say for semiprime_equationization('49447', 3, 3);
- # 37975227936943673922808872755445627854565536638199 * 40094690950920881030683735292761468389214899724061
- #say for semiprime_equationization('1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139', 50, 50);
|