Various incomplete solutions

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FuryFire
2011-04-10 13:19:21 +02:00
parent 94dc7ec373
commit 53e3cf4358
15 changed files with 173 additions and 8 deletions

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ProjectEuler/030/desc.yml Normal file
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title: Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
url: http://projecteuler.net/problem=30
desc: |
Surprisingly there are only three numbers that can be written as the sum of fourth powers of their digits:
1634 = 1^4 + 6^4 + 3^4 + 4^4
8208 = 8^4 + 2^4 + 0^4 + 8^4
9474 = 9^4 + 4^4 + 7^4 + 4^4
As 1 = 1^4 is not a sum it is not included.
The sum of these numbers is 1634 + 8208 + 9474 = 19316.
Find the sum of all the numbers that can be written as the sum of fifth powers of their digits.
solution: We can safely assume that we don't have to search high values higher than 354294. Because 6*9^5 = 354294 is far from the value of 999999
solutions:
solve.php:
desc: Basic Solution
language: php

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<?php
define('POWER',5);
define('START',2);
define('END', 6*pow(9,POWER) );
$result = 0;
for($value = START; $value < END; $value++ ) {
$cmp = 0;
for($c= 0, $len = strlen($string), $string = (string)$value; $c< $len; $c++)
{
$cmp += pow($string[$c],POWER);
}
$result += ($value == $cmp) ? $value : 0;
}
echo $result;