Processing a string a character

Processing a string a character at a time is an easy way to calculate the "Look and Say" sequence.

function lookandsay($s) {
// initialize the return value to the empty string
$r = '';
// $m holds the character we're counting, initialize to the first
* character in the string
$m = $s[0];
// $n is the number of $m's we've seen, initialize to 1
$n = 1;
for ($i = 1, $j = strlen($s); $i < $j; $i++) {
// if this character is the same as the last one
if ($s[$i] == $m) {
// increment the count of this character
$n++;
} else {
// otherwise, add the count and character to the return value
//
$r .= $n.$m;
// set the character we're looking for to the current one //
$m = $s[$i];
// and reset the count to 1 //
$n = 1;
}
}
// return the built up string as well as the last count and character
//
return $r.$n.$m;
}
for ($i = 0, $s = 1; $i < 10; $i++) {
$s = lookandsay($s);
print "$s\n";
}
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
13211311123113112211

It's called the "Look and Say" sequence because each element is what you get by looking at the previous element and saying what's in it. For example, looking at the first element, 1, you say "one one." So the second element is "11." That's two ones, so the third element is "21." Similarly, that's one two and one one, so the fourth element is "1211," and so on.

Posted on: 30/11/2009








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