Könnte die Speicherung von Zwischenergebnissen den Algorithmus erheblich beschleunigen, da nur wenige neue Berechnungen erforderlich wären?
Storing intermediate results in memory can significantly speed up an algorithm by reducing the number of calculations needed to be performed. By storing and reusing these intermediate results, the algorithm can avoid redundant computations and improve overall efficiency.
<?php
function calculateWithCache($n) {
static $cache = [];
if (isset($cache[$n])) {
return $cache[$n];
}
if ($n <= 1) {
return $n;
}
$result = calculateWithCache($n - 1) + calculateWithCache($n - 2);
$cache[$n] = $result;
return $result;
}
// Example usage
echo calculateWithCache(10); // Output: 55
?>