How to resolve the algorithm Pythagorean quadruples step by step in the Perl programming language
Published on 12 May 2024 09:40 PM
How to resolve the algorithm Pythagorean quadruples step by step in the Perl programming language
Table of Contents
Problem Statement
One form of Pythagorean quadruples is (for positive integers a, b, c, and d):
An example:
For positive integers up 2,200 (inclusive), for all values of a, b, c, and d, find (and show here) those values of d that can't be represented. Show the values of d on one line of output (optionally with a title).
Let's start with the solution:
Step by Step solution about How to resolve the algorithm Pythagorean quadruples step by step in the Perl programming language
Source code in the perl programming language
my $N = 2200;
push @sq, $_**2 for 0 .. $N;
my @not = (0) x $N;
@not[0] = 1;
for my $d (1 .. $N) {
my $last = 0;
for my $a (reverse ceiling($d/3) .. $d) {
for my $b (1 .. ceiling($a/2)) {
my $ab = $sq[$a] + $sq[$b];
last if $ab > $sq[$d];
my $x = sqrt($sq[$d] - $ab);
if ($x == int $x) {
$not[$d] = 1;
$last = 1;
last
}
}
last if $last;
}
}
sub ceiling { int $_[0] + 1 - 1e-15 }
for (0 .. $#not) {
$result .= "$_ " unless $not[$_]
}
print "$result\n"
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