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2023.12.02 -- solves example but way too slow for the real thing (tm)
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php/2023/12/02.php

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<?php
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namespace Year2023\Day12;
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$start = microtime(true);
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#$lines = file('example.txt', FILE_IGNORE_NEW_LINES);
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$lines = file('example2.txt', FILE_IGNORE_NEW_LINES);
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#$lines = file('input.txt', FILE_IGNORE_NEW_LINES);
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class Arrangement {
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private string $springs;
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private array $pattern;
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public function __construct(string $raw)
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{
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[$rawSprings, $rawPattern] = explode(" ", $raw);
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$this->springs = implode("?", array_fill(0, 5, $rawSprings));
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$rawPattern = implode(",", array_fill(0, 5, $rawPattern));
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$this->pattern = explode(",", $rawPattern);
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array_walk($this->pattern, static function (&$value) {$value = (int)$value;});
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}
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public function getCountOfValidPermutations(): int
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{
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return $this->permutateAndCount($this->springs, $this->pattern);
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}
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private function permutateAndCount(string $springs, array $pattern): int
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{
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#empty string AND pattern means we are at the end and have found a match
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if ($springs === '') {
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if ($pattern === []) {
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return 1;
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}
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return 0; // some leftover pattern -> can't fulfill
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}
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# if there is no pattern left, and also no springs, return a match
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if ($pattern === []) {
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if (str_contains($springs, "#")) {
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return 0; // still some left, no match.
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}
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return 1;
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}
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# early exit if the remainder cannot work
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# if the sum of the pattern plus the minimum number of separators is longer than the remainder of the string
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# return 0, no match
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if ((array_sum($pattern) + count($pattern)-1) > strlen($springs)) {
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return 0;
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}
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# now, if there is only one pattern left, the string is the same length AND does not contain a separator, we found a match
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# the wildcard does not matter, it can only work when it's a #, so we can skip permutations.
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if (count($pattern) === 1 && $pattern[0] === strlen($springs) && !str_contains($springs, '.')) {
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return 1;
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}
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$count = 0;
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# if the next one is not a broken fountain - or is a wildcard - we move on with just a shorter string
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if ($springs[0] !== '#') {
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$count += $this->permutateAndCount(substr($springs, 1), $pattern);
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}
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# if there is a block exactly the size of the next pattern that does not contain a separator, we recurse on
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# (but not count, we're not at the end yet!)
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$nextPattern = array_shift($pattern);
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$sub = substr($springs, 0, $nextPattern);
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$next = '';
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if (strlen($springs) > $nextPattern) {
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$next = $springs[$nextPattern]; // 0 indexed ftw!
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}
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if ($next !== '#' && !str_contains($sub, '.')) {
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$count += $this->permutateAndCount(substr($springs, $nextPattern + 1), $pattern);
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}
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return $count;
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}
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}
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$sum = 0;
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foreach ($lines as $line) {
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$arrangement = new Arrangement($line);
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echo $line, ": ", ($count = $arrangement->getCountOfValidPermutations()), "\n";
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$sum += $count;
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}
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echo "\n", $sum, "\n";
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echo microtime(true) - $start;
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echo "\n";
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