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authorE7-87-83 <fungcheokyin@gmail.com>2021-11-15 13:10:51 +0800
committerE7-87-83 <fungcheokyin@gmail.com>2021-11-15 13:10:51 +0800
commitc947073b2dfd807912c96f08dc63a01201eab1e2 (patch)
treed5ab88586faa86c0644dbefe0096bcf6829acaa1
parentb631637ebc50047e4a96b0d9c109187af2e36460 (diff)
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look likes that I do not know how to use any in List::Util
-rw-r--r--challenge-138/cheok-yin-fung/perl/ch-2.pl6
-rw-r--r--challenge-138/cheok-yin-fung/perl/ch-2a.pl123
2 files changed, 126 insertions, 3 deletions
diff --git a/challenge-138/cheok-yin-fung/perl/ch-2.pl b/challenge-138/cheok-yin-fung/perl/ch-2.pl
index 0cf1fd7ed2..af813e6c93 100644
--- a/challenge-138/cheok-yin-fung/perl/ch-2.pl
+++ b/challenge-138/cheok-yin-fung/perl/ch-2.pl
@@ -4,7 +4,7 @@
# Usage: ch-2.pl $N
use v5.12.0;
use warnings;
-use List::Util qw/ any sum /;
+use List::Util qw/ any sum all /;
use Integer::Partition;
use Algorithm::Combinatorics qw / permutations /;
use Test::More tests => 6;
@@ -26,14 +26,14 @@ sub split_number {
return 0 if $N == 1; #after reading Abigail's code
my $i = Integer::Partition->new($len);
while (my $len_a = $i->next) {
- next if any { $_ > $upper } @$len_a;
+ next unless all { $_ <= $upper } @$len_a;
# Explanation for above line:
# It is an optimization.
# For example, sqrt(9663676416) = 98304
# so we can expect partitions with $number > 99999,
# i.e. length $number > 5,
# cannot fulfill the requirement.
- # (3rd public version, 2021-11-15 04:51 GMT)
+ # (4th public version, 2021-11-15 05:09 GMT)
# NOT:::::: next if any { length $_ > $upper } @$len_a;
# (2nd public version, 2021-11-15 04:35 GMT)
diff --git a/challenge-138/cheok-yin-fung/perl/ch-2a.pl b/challenge-138/cheok-yin-fung/perl/ch-2a.pl
new file mode 100644
index 0000000000..5028cd6707
--- /dev/null
+++ b/challenge-138/cheok-yin-fung/perl/ch-2a.pl
@@ -0,0 +1,123 @@
+#!/usr/bin/perl
+# The Weekly Challenge 138
+# Task 2 Split Number
+# Usage: ch-2.pl $N
+use v5.12.0;
+use warnings;
+use List::Util qw/ any all sum notall/;
+use Integer::Partition;
+use Algorithm::Combinatorics qw / permutations /;
+use Test::More tests => 6;
+
+my $NUM = $ARGV[0] || 1;
+
+say split_number($NUM);
+
+
+
+sub split_number {
+ my $N = $_[0];
+ my $rt = sqrt $N;
+ die "Input must be a square number\n" unless $rt == int $rt;
+ my $len = length $N;
+ my $upper = length $rt;
+
+ my %wlen; # hash to record each unordered partition
+ return 0 if $N == 1; #after reading Abigail's code
+ my $i = Integer::Partition->new($len);
+ while (my $len_a = $i->next) {
+ next unless all { $_ <= $upper } @$len_a;
+ # say "ooops" if all { $_ <= $upper } @$len_a;
+ say "@$len_a";
+ # Explanation for above line:
+ # It is an optimization.
+ # For example, sqrt(9663676416) = 98304
+ # so we can expect partitions with $number > 99999,
+ # i.e. length $number > 5,
+ # cannot fulfill the requirement.
+ # (3rd public version, 2021-11-15 04:51 GMT)
+
+ # NOT:::::: next if any { length $_ > $upper } @$len_a;
+ # (2nd public version, 2021-11-15 04:35 GMT)
+
+ my $j = permutations($len_a);
+ while (my $b = $j->next) {
+ if (!defined($wlen{join ",", @$b})) {
+ my @config = ( substr($N ,0, $b->[0]) );
+ my $len_acc = 0;
+ for my $k (0..scalar @$b - 2) {
+ $len_acc += $b->[$k];
+ my $temp = substr($N, $len_acc, $b->[$k+1]);
+ $temp =~ s/^[0]*//g;
+ $temp = 0 if $temp eq "";
+ push @config, $temp;
+ }
+ if ( (sum @config) == $rt) {
+ say "sqrt($N) = " , #print the formula
+ "$rt = ",
+ join " + ", map { $_ == 0 ? "(0)" : $_ } @config;
+ return 1;
+ }
+ $wlen{join ",", @$b} = 1;
+ }
+ }
+ }
+
+ return 0;
+}
+
+ok split_number(81) == 1, "Example 1";
+ok split_number(9801) == 1, "Example 2";
+ok split_number(36) == 0, "Example 3";
+ok split_number(999*999) == 1, "test case 1 with 10^n-1";
+ok split_number(9999*9999) == 1, "test case 2 with 10^n-1";
+ok split_number(17073424) == 1, "final test";
+
+
+
+=pod
+#for fun
+ grep { 1 == split_number($_*$_)} 100..5000;
+
+Output:
+sqrt(81) = 9 = 8 + 1
+sqrt(100) = 10 = 10 + 0
+sqrt(1296) = 36 = 1 + 29 + 6
+sqrt(2025) = 45 = 20 + 25
+sqrt(3025) = 55 = 30 + 25
+sqrt(6724) = 82 = 6 + 72 + 4
+sqrt(8281) = 91 = 82 + 8 + 1
+sqrt(9801) = 99 = 98 + 01
+sqrt(10000) = 100 = 100 + 00
+sqrt(55225) = 235 = 5 + 5 + 225
+sqrt(88209) = 297 = 88 + 209
+sqrt(136161) = 369 = 1 + 361 + 6 + 1
+sqrt(136900) = 370 = 1 + 369 + (0)
+sqrt(143641) = 379 = 14 + 364 + 1
+sqrt(171396) = 414 = 17 + 1 + 396
+sqrt(431649) = 657 = 4 + 3 + 1 + 649
+sqrt(455625) = 675 = 45 + 5 + 625
+sqrt(494209) = 703 = 494 + 209
+sqrt(571536) = 756 = 5 + 715 + 36
+sqrt(627264) = 792 = 62 + 726 + 4
+sqrt(826281) = 909 = 826 + 2 + 81
+sqrt(842724) = 918 = 842 + 72 + 4
+sqrt(893025) = 945 = 8 + 930 + 2 + 5
+sqrt(929296) = 964 = 929 + 29 + 6
+sqrt(980100) = 990 = 980 + 10 + (0)
+sqrt(982081) = 991 = 982 + 8 + 1
+sqrt(998001) = 999 = 998 + 1
+sqrt(1000000) = 1000 = 1000 + (0)
+sqrt(1679616) = 1296 = 1 + 679 + 616
+sqrt(2896804) = 1702 = 2 + 896 + 804
+sqrt(3175524) = 1782 = 3 + 1755 + 24
+sqrt(4941729) = 2223 = 494 + 1729
+sqrt(7441984) = 2728 = 744 + 1984
+sqrt(11329956) = 3366 = 11 + 3299 + 56
+sqrt(13293316) = 3646 = 1 + 329 + 3316
+sqrt(13557124) = 3682 = 1 + 3557 + 124
+sqrt(17073424) = 4132 = 1 + 707 + 3424
+sqrt(23804641) = 4879 = 238 + (0) + 4641
+sqrt(24068836) = 4906 = 2 + 4068 + 836
+sqrt(24502500) = 4950 = 2450 + 2500
+