Various incomplete solutions
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ProjectEuler/029/desc.yml
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ProjectEuler/029/desc.yml
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title: How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
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url: http://projecteuler.net/problem=29
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desc: |
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Consider all integer combinations of a^b for 2 <= a 5 and 2 <= b <= 5:
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2^2=4, 2^3=8, 2^4=16, 2^5=32
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3^2=9, 3^3=27, 3^4=81, 3^5=243
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4^2=16, 4^3=64, 4^4=256, 4^5=1024
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5^2=25, 5^3=125, 5^4=625, 5^5=3125
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If they are then placed in numerical order, with any repeats removed, we get the following sequence of 15 distinct terms:
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4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
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How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
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solution: Bruteforce
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solutions:
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solve.php:
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desc: Basic Solution - needs BCMath
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language: php
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solve.rb:
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desc: Basic solution
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language: ruby
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ProjectEuler/029/solve.php
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ProjectEuler/029/solve.php
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<?php
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define('A_START',2);
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define('A_END',100);
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define('B_START',2);
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define('B_END',100);
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for($a=A_START;$a<=A_END;$a++) {
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for($b=B_START;$b<=B_END;$b++) {
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$array[] = bcpow($a,$b);
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}
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}
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echo count(array_unique($array));
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ProjectEuler/029/solve.rb
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ProjectEuler/029/solve.rb
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MAX = 6*9**5
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value = 2;
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total = 0;
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for value in (2..MAX) do
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a = 0
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end
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while($value<354294) {
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$a = 0;
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for($t=0;$t<strlen($value);$t++) {
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$a += pow(substr((string)$value,$t,1),5);
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}
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if($value == $a) { $total += $value;}
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$value++;
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}
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echo $total;
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