|  line  | 
 stmt  | 
 bran  | 
 cond  | 
 sub  | 
 pod  | 
 time  | 
 code  | 
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1
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1
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1
  
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2674
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 use v5.24;  | 
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1
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3
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    | 
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2
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1
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1
  
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5
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 use warnings;  | 
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1
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1
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    | 
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1
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43
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    | 
| 
3
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1
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1
  
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5
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 use Test::More;  | 
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1
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1
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    | 
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1
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7
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    | 
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4
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1
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1
  
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221
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 use Q::S::L qw(superpos fetch_matches with_sources);  | 
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1
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1
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    | 
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1
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290
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    | 
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5
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    | 
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6
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 sub power_sources  | 
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7
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 {  | 
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8
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4
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4
  
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8
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 	my ($number) = @_;  | 
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9
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    | 
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10
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 	# produce all the possible bases end exponents  | 
| 
11
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4
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37
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 	my $possible_bases = superpos(2 .. sqrt $number);  | 
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12
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4
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806
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 	my $possible_exponents = superpos(2 .. sqrt $number);  | 
| 
13
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    | 
| 
14
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 	# produce all possible powers  | 
| 
15
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4
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789
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 	my $possible_powers = $possible_bases**$possible_exponents;  | 
| 
16
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    | 
| 
17
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 	# for every state, get those that match a condition  | 
| 
18
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 	# (any possible power that equals the number)  | 
| 
19
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 	return fetch_matches {  | 
| 
20
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4
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16
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 		with_sources { $possible_powers == $number }  | 
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21
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4
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4
  
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989
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 	};  | 
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4
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24
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    | 
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22
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 }  | 
| 
23
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24
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 my %numbers = (  | 
| 
25
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| 
26
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 	# number => [base, exponent]  | 
| 
27
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 	65536 => [[2, 16], [4, 8], [16, 4], [256, 2]],  | 
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28
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 	9 => [[3, 2]],  | 
| 
29
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 	81 => [[3, 4], [9, 2]],  | 
| 
30
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 	3 => [],  | 
| 
31
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 );  | 
| 
32
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    | 
| 
33
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 while (my ($number, $power) = each %numbers) {  | 
| 
34
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    | 
| 
35
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 	# this will be a superposition of all valid powers  | 
| 
36
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 	my $power_superposition = power_sources $number;  | 
| 
37
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    | 
| 
38
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 	# there should be 1 or 0 resulting states  | 
| 
39
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 	my $state = $power_superposition->states->[0];  | 
| 
40
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    | 
| 
41
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 	if (!defined $state) {  | 
| 
42
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 		is scalar $power->@*, 0;  | 
| 
43
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 	}  | 
| 
44
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 	else {  | 
| 
45
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 		my @sources = $state->source->@*;  | 
| 
46
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 		is scalar @sources, scalar $power->@*;  | 
| 
47
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    | 
| 
48
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 		# did we succeed?  | 
| 
49
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 		FACTOR:  | 
| 
50
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 		foreach my $factor ($power->@*) {  | 
| 
51
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 			my ($base, $exponent) = $factor->@*;  | 
| 
52
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    | 
| 
53
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 			foreach my $source (@sources) {  | 
| 
54
 | 
 
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 				next FACTOR  | 
| 
55
 | 
 
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 					if $source->[0] eq $base && $source->[1] eq $exponent;  | 
| 
56
 | 
 
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 			}  | 
| 
57
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 			fail;  | 
| 
58
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 		}  | 
| 
59
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 | 
 	}  | 
| 
60
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 }  | 
| 
61
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    | 
| 
62
 | 
 
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 | 
 done_testing;  | 
| 
63
 | 
 
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    | 
| 
64
 | 
 
 | 
 
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 | 
 __END__  |