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46 lines
1.3 KiB
PHP
46 lines
1.3 KiB
PHP
<?php
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/**
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* This function solves the problem 6 of the Project Euler.
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*
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* Problem description:
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* The sum of the squares of the first ten natural numbers is,
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* 1 ** 2 + 2 ** 2 + ... + 10 ** 2 = 385
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*
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* The square of the sum of the first ten natural numbers is,
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* (1 + 2 + ... + 10) ** 2 = 3025
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*
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* Hence the difference between the sum of the squares of the
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* first ten natural numbers and the square of the sum is .
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* 3025 - 385 = 2640
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*
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* Find the difference between the sum of the squares of the
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* first one hundred natural numbers and the square of the sum.
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*
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* Answer: 25164150
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*
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* @param int $maxNumber Range from 1 to <maxNumber>
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*
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* @return int Difference between the sum of the squares and
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* the square of the sum
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*
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* @link https://projecteuler.net/problem=6
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*/
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/**
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* @param int $maxNumber Range from 1 to <maxNumber>
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*
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* @return int Difference between the sum of the squares and
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* the square of the sum
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*/
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function problem6(int $maxNumber = 100): int
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{
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$sumOfSquares = 0;
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$sums = 0;
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for ($i = 1; $i <= $maxNumber; $i++) {
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$sumOfSquares += $i ** 2; // add squares to the sum of squares
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$sums += $i; // add number to sum to square later
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}
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return ($sums ** 2) - $sumOfSquares; // difference of square of the total sum and sum of squares
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}
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