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How to get all the substrings with exactly k distinct characters from a given string in PHP

1 Answer

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// Function to get all substrings with exactly k distinct characters
function getSubstringsWithKDistinct(string $s, int $k): array {
    $list_of_substrings = [];
    $n = strlen($s);

    // Iterate over all possible starting points of substrings
    for ($i = 0; $i < $n; $i++) {
        $freq_map = [];       // associative array for character frequencies
        $distinct_count = 0;  // counter for distinct characters

        // Extend the substring from position i to j
        for ($j = $i; $j < $n; $j++) {
            $ch = $s[$j];

            // If character is new to the substring, increment distinct count
            if (!isset($freq_map[$ch])) {
                $distinct_count++;
                $freq_map[$ch] = 0;
            }

            $freq_map[$ch]++;

            // If we have exactly k distinct characters, store the substring
            if ($distinct_count == $k) {
                $list_of_substrings[] = substr($s, $i, $j - $i + 1);
            }
            // If we exceed k distinct characters, stop exploring this substring
            elseif ($distinct_count > $k) {
                break;
            }
        }
    }

    return $list_of_substrings;
}

$str = "characters";
$k = 4;

$substrings = getSubstringsWithKDistinct($str, $k);

echo "Number of substrings with exactly $k distinct characters = " . count($substrings) . PHP_EOL;
echo PHP_EOL;

echo "Substrings with exactly $k distinct characters in '$str':" . PHP_EOL;
foreach ($substrings as $sub) {
    echo $sub . PHP_EOL;
}



/*
run:

Number of substrings with exactly 4 distinct characters = 9

Substrings with exactly 4 distinct characters in 'characters':
char
chara
charac
harac
aract
ract
acte
cter
ters

*/

 



answered Nov 14, 2025 by avibootz

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