Wrongly asked or am I stupid? - php

There's a blog post comment on codinghorror.com by Paul Jungwirth which includes a little programming task:
You have the numbers 123456789, in that order. Between each number, you must insert either nothing, a plus sign, or a multiplication sign, so that the resulting expression equals 2001. Write a program that prints all solutions. (There are two.)
Bored, I thought, I'd have a go, but I'll be damned if I can get a result for 2001. I think the code below is sound and I reckon that there are zero solutions that result in 2001. According to my code, there are two solutions for 2002. Am I right or am I wrong?
/**
* Take the numbers 123456789 and form expressions by inserting one of ''
* (empty string), '+' or '*' between each number.
* Find (2) solutions such that the expression evaluates to the number 2001
*/
$input = array(1,2,3,4,5,6,7,8,9);
// an array of strings representing 8 digit, base 3 numbers
$ops = array();
$numOps = sizeof($input)-1; // always 8
$mask = str_repeat('0', $numOps); // mask of 8 zeros for padding
// generate the ops array
$limit = pow(3, $numOps) -1;
for ($i = 0; $i <= $limit; $i++) {
$s = (string) $i;
$s = base_convert($s, 10, 3);
$ops[] = substr($mask, 0, $numOps - strlen($s)) . $s;
}
// for each element in the ops array, generate an expression by inserting
// '', '*' or '+' between the numbers in $input. e.g. element 11111111 will
// result in 1+2+3+4+5+6+7+8+9
$limit = sizeof($ops);
$stringResult = null;
$numericResult = null;
for ($i = 0; $i < $limit; $i++) {
$l = $numOps;
$stringResult = '';
$numericResult = 0;
for ($j = 0; $j <= $l; $j++) {
$stringResult .= (string) $input[$j];
switch (substr($ops[$i], $j, 1)) {
case '0':
break;
case '1':
$stringResult .= '+';
break;
case '2':
$stringResult .= '*';
break;
default :
}
}
// evaluate the expression
// split the expression into smaller ones to be added together
$temp = explode('+', $stringResult);
$additionElems = array();
foreach ($temp as $subExpressions)
{
// split each of those into ones to be multiplied together
$multplicationElems = explode('*', $subExpressions);
$working = 1;
foreach ($multplicationElems as $operand) {
$working *= $operand;
}
$additionElems[] = $working;
}
$numericResult = 0;
foreach($additionElems as $operand)
{
$numericResult += $operand;
}
if ($numericResult == 2001) {
echo "{$stringResult}\n";
}
}

Further down the same page you linked to.... =)
"Paul Jungwirth wrote:
You have the numbers 123456789, in
that order. Between each number, you
must insert either nothing, a plus
sign, or a multiplication sign, so
that the resulting expression equals
2001. Write a program that prints all solutions. (There are two.)
I think you meant 2002, not 2001. :)
(Just correcting for anyone else like
me who obsessively tries to solve
little "practice" problems like this
one, and then hit Google when their
result doesn't match the stated
answer. ;) Damn, some of those Perl
examples are ugly.)"

The number is 2002.
Recursive solution takes eleven lines of JavaScript (excluding string expression evaluation, which is a standard JavaScript function, however it would probably take another ten or so lines of code to roll your own for this specific scenario):
function combine (digit,exp) {
if (digit > 9) {
if (eval(exp) == 2002) alert(exp+'=2002');
return;
}
combine(digit+1,exp+'+'+digit);
combine(digit+1,exp+'*'+digit);
combine(digit+1,exp+digit);
return;
}
combine(2,'1');

Related

Math / statistics problem analyse words in string

In need of some help - am trying to analyse news articles.
I have a list of positive words and negative words. I am search the article contents for instances of the words a counting the up.
my problem is that the negative word list is a lot long that the positive so all the results a skewed to negative.
I am looking for a way to normalise the results so a positive word is weighted slightly against the negative to even out the fact that is a considerably high chance of finding a negative word. Unfortunately I have no idea where to start.
Appreciate you taking the time to read this.
Below is the code I have so far.
function process_scores($content)
{
$positive_score = 0;
for ($i = 0; $i < count($this->positive_words); $i++) {
if($this->positive_words[$i] != "")
{
$c = substr_count( strtolower($content) , $this->positive_words[$i] );
if($c > 0)
{
$positive_score += $c;
}
}
}
$negative_score = 0;
for ($i = 0; $i < count($this->negative_words); $i++) {
if($this->negative_words[$i] != "")
{
$c = substr_count( strtolower($content) , $this->negative_words[$i] );
if($c > 0)
{
$negative_score += $c;
}
}
}
return ["positive_score" => $positive_score, "negative_score" => $negative_score];
}
So I don't know php, but this seems less like a php question and more of a question of method. Right now when you analyze an article, you assign words as positive or negative based on whether or not they are in your dictionary, but because your dictionaries are of different sizes, you feel like this isn't giving you a fair analysis of the article.
One method you could try is to assign each word in the article a value. If a word does not exist in your dictionary, have the program prompt for manual interpretation of the word through the command line. Then decide whether the word is positive, negative, or neutral, and have the program add that word to the appropriate dictionary. This will be really annoying at first, but English speakers use roughly the same 2000 words for almost all of our conversation, so after a few articles, you will have robust dictionaries and not have to worry about skew because every single word will have been assigned a value.
I would suggest just throwing in a weighting factor to the output. The exact weighting is determined by trial and error. I went ahead and refactored your code since there was some repetition
<?php
class WordScore {
private $negative_words = [];
private $positive_words = [];
private $positive_weight = 1;
private $negative_weight = 1;
public function setScore(float $pos = 1, float $neg = 1) {
$this->negative_weight = $neg;
$this->positive_weight = $pos;
}
public function processScores($content) {
$positive_score = $this->countWords($content, $this->positive_words);
$negative_score = $this->countWords($content, $this->negative_words);
return [
"positive_score" => $positive_score * $this->positive_weight,
"negative_score" => $negative_score * $this->negative_weight
];
}
private function countWords( string $content, array $words, float $weight = 1 ) {
$count = 0;
foreach( $words as $word ) {
$count += substr_count( strtolower($content) , strtolower($word) );
}
return $count;
}
}
working example at http://sandbox.onlinephpfunctions.com/code/19b4ac3c12d35cf253e9fa6049e91508e4797a2e

Time complexity of an algorithm: find length of a longest palindromic substring

I've written a small PHP function to find a length of a longest palindromic substring of a string. To avoid many loops I've used a recursion.
The idea behind algorithm is, to loop through an array and for each center (including centers between characters and on a character), recursively check left and right caret values for equality. Iteration for a particular center ends when characters are not equal or one of the carets is out of the array (word) range.
Questions:
1) Could you please write a math calculations which should be used to explain time complexity of this algorithm? In my understanding its O(n^2), but I'm struggling to confirm that with a detailed calculations.
2) What do you think about this solution, any improvement suggestions (considering it was written in 45 mins just for practice)? Are there better approaches from the time complexity perspective?
To simplify the example I've dropped some input checks (more in comments).
Thanks guys, cheers.
<?php
/**
* Find length of the longest palindromic substring of a string.
*
* O(n^2)
* questions by developer
* 1) Is the solution meant to be case sensitive? (no)
* 2) Do phrase palindromes need to be taken into account? (no)
* 3) What about punctuation? (no)
*/
$input = 'tttabcbarabb';
$input2 = 'taat';
$input3 = 'aaaaaa';
$input4 = 'ccc';
$input5 = 'bbbb';
$input6 = 'axvfdaaaaagdgre';
$input7 = 'adsasdabcgeeegcbgtrhtyjtj';
function getLenRecursive($l, $r, $word)
{
if ($word === null || strlen($word) === 0) {
return 0;
}
if ($l < 0 || !isset($word[$r]) || $word[$l] != $word[$r]) {
$longest = ($r - 1) - ($l + 1) + 1;
return !$longest ? 1 : $longest;
}
--$l;
++$r;
return getLenRecursive($l, $r, $word);
}
function getLongestPalSubstrLength($inp)
{
if ($inp === null || strlen($inp) === 0) {
return 0;
}
$longestLength = 1;
for ($i = 0; $i <= strlen($inp); $i++) {
$l = $i - 1;
$r = $i + 1;
$length = getLenRecursive($l, $r, $inp); # around char
if ($i > 0) {
$length2 = getLenRecursive($l, $i, $inp); # around center
$longerOne = $length > $length2 ? $length : $length2;
} else {
$longerOne = $length;
}
$longestLength = $longerOne > $longestLength ? $longerOne : $longestLength;
}
return $longestLength;
}
echo 'expected: 5, got: ';
var_dump(getLongestPalSubstrLength($input));
echo 'expected: 4, got: ';
var_dump(getLongestPalSubstrLength($input2));
echo 'expected: 6, got: ';
var_dump(getLongestPalSubstrLength($input3));
echo 'expected: 3, got: ';
var_dump(getLongestPalSubstrLength($input4));
echo 'expected: 4, got: ';
var_dump(getLongestPalSubstrLength($input5));
echo 'expected: 5, got: ';
var_dump(getLongestPalSubstrLength($input6));
echo 'expected: 9, got: ';
var_dump(getLongestPalSubstrLength($input7));
Your code doesn't really need to be recursive. A simple while loop would do just fine.
Yes, complexity is O(N^2). You have N options for selecting the middle point. The number of recursion steps goes from 1 to N/2. The sum of all that is 2 * (N/2) * (n/2 + 1) /2 and that is O(N^2).
For code review, I wouldn't do recursion here since it's fairly straightforward and you don't need the stack at all. I would replace it with a while loop (still in a separate function, to make the code more readable).

Detect if a string contains any numbers

This is the test.php file:
$string = 'A string with no numbers';
for ($i = 0; $i <= strlen($string)-1; $i++) {
$char = $string[$i];
$message_keyword = in_array($char, range(0,9)) ? 'includes' : 'desn\'t include';
}
// output
echo sprintf('This variable %s number(s)', codeStyle($message_keyword));
// function
function codeStyle($string) {
return '<span style="background-color: #eee; font-weight: bold;">' . $string . '</span>';
}
It splits the string character by character and checks if the character is a number or not.
Problem: Its output is always "This variable includes number(s)". Please help me to find the reason.
TIP: When I change range(0,9) to range(1,9) It works correctly (But it can't detect 0).
Use preg_match():
if (preg_match('~[0-9]+~', $string)) {
echo 'string with numbers';
}
Althought you should not use it, as it is much slower than preg_match() I will explain why your original code is not working:
A non numerical character in the string when compared to a number (in_array() does that internally) would be evaluated as 0 what is a number. Check this example:
var_dump('A' == 0); // -> bool(true)
var_dump(in_array('A', array(0)); // -> bool(true)
Correct would be to use is_numeric() here:
$keyword = 'doesn\'t include';
for ($i = 0; $i <= strlen($string)-1; $i++) {
if(is_numeric($string[$i])) {
$keyword = 'includes';
break;
}
}
Or use the string representations of the numbers:
$keyword = 'doesn\'t include';
// the numbers as stings
$numbers = array('0', '1', '2', /* ..., */ '9');
for ($i = 0; $i <= strlen($string)-1; $i++) {
if(in_array($string[$i], $numbers)){
$keyword = 'includes';
break;
}
}
You can just use regexp :
$message_keyword = preg_match('/\d/', $string) ? 'includes' : 'desn\'t include';
Better way is using regular expression
<?php
if (preg_match('#[0-9]#',$string)){
$message_keyword = 'includes';
}
else{
$message_keyword = 'desn\'t include';
}
?>
This is because of PHP loose type comparison, you are comparing string with integer, so PHP internally will cast this string to integer, and all character in your string will be casted to 0.
First step to fix your code, will be to create an array of strings instead of integers:
$numbers = array_map(function($n){ return (string)$n; }, range(0,9));
for ($i = 0; $i <= strlen($string)-1; $i++) {
$char = $string[$i];
$message_keyword = in_array($char,$numbers)?'includes' : 'doesn\'t include';
}
This will fix your case, but will not work as you expect it to, since $message_keyword is overwritten on each loop, so will receive message for last character only. If you are aiming to only check if string contains number, you can stop checking after encountering first number:
$message_keyword = 'doesn\'t include';
for ($i = 0; $i <= strlen($string)-1; $i++) {
$char = $string[$i];
if(in_array($char, $numbers)) {
$message_keyword = 'includes';
break; //found, no need to check next
}
}
To have this all logic in more compact form, use regular expresion, as posted by others before.
It's kinda late to answer this question after about 9 years, but If you want to detect integers (and not floats) nothing is better than ctype_digit. Using this function to detect floats with decimal point or other types would results in returning false.
<?php
$number = "123";
$notNumber = "123abc";
var_dump(ctype_digit($number));
var_dump(ctype_digit($notNumber));
?>
Output
bool(true)
bool(false)
array range ( mixed $start , mixed $end [, number $step = 1 ] )
If a step value is given, it will be used as the increment between elements in the sequence. step should be given as a positive number. If not specified, step will default to 1.
In your case, you havent mentioned the third parameter that is why it is always set to 1
See Manual here

Counting possibilities in a char. combination using a consecutive repetition criterion

In PHP, given
the final string length
the range of characters it can use
min consecutive repetition count possible
how can you calculate the number of matches that fits these criteria?To draw a better picture…
$range = array('a','b','c');
$length = 2; // looking for 2 digit results
$minRep = 2; // with >=2 consecutive characters
// aa,bb,cc = 3 possibilities
another one:
$range = array('a','b','c');
$length = 3; // looking for 3 digit results
$minRep = 2; // with >=2 consecutive characters
// aaa,aab,aac,baa,caa
// bbb,bba,bbc,abb,cbb
// ccc,cca,ccb,acc,bcc
// 5 + 5 + 5 = 15 possibilities
// note that combos like aa,bb,cc are not included
// because their length is smaller than $length
last one:
$range = array('a','b','c');
$length = 3; // looking for 3 digit results
$minRep = 3; // with >=3 consecutive characters
// aaa,bbb,ccc = 3 possibilities
So basically, in the 2nd example the 3rd criterion made it catch e.g. [aa]b in aab because a was repeating consecutively more than once, whereas [a]b[a] wouldn't be a match because those a's are separate.
Needless to say, none of the variables is static.
Got it. All credit to leonbloy #mathexchange.com.
/* The main function computes the number of words that do NOT contain
* a character repetition of length $minRep (or more). */
function countStrings($rangeLength, $length, $minRep, &$results = array())
{
if (!isset($results[$length]))
{
$b = 0;
if ($length < $minRep)
$b = pow($rangeLength, $length);
else
{
for ($i = 1; $i < $minRep; $i++)
$b += countStrings($rangeLength, $length - $i, $minRep, $results);
$b *= $rangeLength - 1;
}
$results[$length] = $b;
}
return $results[$length];
}
/* This one answers directly the question. */
function printNumStringsRep($rangeLength, $length, $minRep)
{
$n = (pow($rangeLength, $length)
- countStrings($rangeLength, $length, $minRep));
echo "Size of alphabet : $rangeLength<br/>"
. "Size of string : $length<br/>"
. "Minimal repetition : $minRep<br/>"
. "<strong>Number of words : $n</strong>";
}
/* Prints :
*
Size of alphabet : 3
Size of string : 3
Minimal repetition : 2
Number of words : 15
*
*/
printNumStringsRep(3, 3, 2);
I think it is best to handle this with math.
$range = array('a','b','c');
$length = 3; // looking for 3 digit results
$minRep = 2; // with >=2 consecutive characters
$rangeLength = count($range);
$count = (pow($rangeLength,$length-$minRep+1) * ($length-$minRep+1)) - ($rangeLength * ($length-$minRep)); // is the result
Now, $count is getting true result for three situation. But it may not be general formula and need to improve.
Try to explain it:
pow($rangeLength,$length-$minRep+1)
in this, we count repetitive characters like as one. For instance, in second example that you gave, we think in aab, aa is a one character. Because, two characters need to change together. We think now there is two character like xy. So there is same possibilities for both character a, b, and c namely 3 ($rangeLength) possible value for two characters($length-$minRep+1). So 3^2=9 is possible situations for second example.
We calculate 9 is for just xy not yx. For this, we multiply length of xy ($length-$minRep+1). And then we have 18.
It can be seemed that we calculated the result, but there is a repeat in our calculation. We didn't reckon with this situation: xy => aaa and yx => aaa. For this, we calculate and substract repeated results
- ($rangeLength * ($length-$minRep))
So after this, we get result.
As i said begining of the description, this formula may need to improve.
With Math, work becomes really complex. But, there is always a way, even not beautiful as much as Math. We can create all possible strings with php and control them with regexp like below:
$range = array('a','b','c');
$length = 3;
$minRep = 2;
$rangeLength = count($range);
$createdStrings = array();
$matchedStrings = array();
function calcIndex(){
global $range;
global $length;
global $rangeLength;
static $ret;
$addTrigger = false;
// initial values
if(is_null($ret)){
$ret = array_fill(0, $length, 0);
return $ret;
}
for($i=$length-1;$i>=0;$i--){
if($ret[$i] == ($rangeLength-1)) {
if($i==0) return false;
$ret[$i] = 0;
}
else {
$ret[$i]++;
break;
}
}
return $ret;
}
function createPattern()
{
global $minRep;
$patt = '/(.)\\1{'.($minRep-1).'}/';
return $patt;
}
$pattern = createPattern();
while(1)
{
$index = calcIndex();
if($index === false) break;
$string = '';
for($i=0;$i<$length;$i++)
{
$string .= $range[$index[$i]];
}
if(!in_array($string, $createdStrings)){
$createdStrings[] = $string;
if(preg_match($pattern, $string)){
$matchedStrings[] = $string;
}
}
}
echo count($createdStrings).' is created:';
var_dump($createdStrings);
echo count($matchedStrings).'strings is matched:';
var_dump($matchedStrings);

finding common prefix of array of strings

I have an array like this:
$sports = array(
'Softball - Counties',
'Softball - Eastern',
'Softball - North Harbour',
'Softball - South',
'Softball - Western'
);
I would like to find the longest common prefix of the string. In this instance, it would be 'Softball - '
I am thinking that I would follow this process
$i = 1;
// loop to the length of the first string
while ($i < strlen($sports[0]) {
// grab the left most part up to i in length
$match = substr($sports[0], 0, $i);
// loop through all the values in array, and compare if they match
foreach ($sports as $sport) {
if ($match != substr($sport, 0, $i) {
// didn't match, return the part that did match
return substr($sport, 0, $i-1);
}
} // foreach
// increase string length
$i++;
} // while
// if you got to here, then all of them must be identical
Questions
Is there a built in function or much simpler way of doing this ?
For my 5 line array that is probably fine, but if I were to do several thousand line arrays, there would be a lot of overhead, so I would have to be move calculated with my starting values of $i, eg $i = halfway of string, if it fails, then $i/2 until it works, then increment $i by 1 until we succeed. So that we are doing the least number of comparisons to get a result.
Is there a formula/algorithm out already out there for this kind of problem?
If you can sort your array, then there is a simple and very fast solution.
Simply compare the first item to the last one.
If the strings are sorted, any prefix common to all strings will be common to the sorted first and last strings.
sort($sport);
$s1 = $sport[0]; // First string
$s2 = $sport[count($sport)-1]; // Last string
$len = min(strlen($s1), strlen($s2));
// While we still have string to compare,
// if the indexed character is the same in both strings,
// increment the index.
for ($i=0; $i<$len && $s1[$i]==$s2[$i]; $i++);
$prefix = substr($s1, 0, $i);
I would use this:
$prefix = array_shift($array); // take the first item as initial prefix
$length = strlen($prefix);
// compare the current prefix with the prefix of the same length of the other items
foreach ($array as $item) {
// check if there is a match; if not, decrease the prefix by one character at a time
while ($length && substr($item, 0, $length) !== $prefix) {
$length--;
$prefix = substr($prefix, 0, -1);
}
if (!$length) {
break;
}
}
Update  
Here’s another solution, iteratively comparing each n-th character of the strings until a mismatch is found:
$pl = 0; // common prefix length
$n = count($array);
$l = strlen($array[0]);
while ($pl < $l) {
$c = $array[0][$pl];
for ($i=1; $i<$n; $i++) {
if ($array[$i][$pl] !== $c) break 2;
}
$pl++;
}
$prefix = substr($array[0], 0, $pl);
This is even more efficient as there are only at most numberOfStrings‍·‍commonPrefixLength atomic comparisons.
I implemented #diogoriba algorithm into code, with this result:
Finding the common prefix of the first two strings, and then comparing this with all following strings starting from the 3rd, and trim the common string if nothing common is found, wins in situations where there is more in common in the prefixes than different.
But bumperbox's original algorithm (except the bugfixes) wins where the strings have less in common in their prefix than different. Details in the code comments!
Another idea I implemented:
First check for the shortest string in the array, and use this for comparison rather than simply the first string. In the code, this is implemented with the custom written function arrayStrLenMin().
Can bring down iterations dramatically, but the function arrayStrLenMin() may itself cause ( more or less) iterations.
Simply starting with the length of first string in array seems quite clumsy, but may turn out effective, if arrayStrLenMin() needs many iterations.
Get the maximum common prefix of strings in an array with as little iterations as possible (PHP)
Code + Extensive Testing + Remarks:
function arrayStrLenMin ($arr, $strictMode = false, $forLoop = false) {
$errArrZeroLength = -1; // Return value for error: Array is empty
$errOtherType = -2; // Return value for error: Found other type (than string in array)
$errStrNone = -3; // Return value for error: No strings found (in array)
$arrLength = count($arr);
if ($arrLength <= 0 ) { return $errArrZeroLength; }
$cur = 0;
foreach ($arr as $key => $val) {
if (is_string($val)) {
$min = strlen($val);
$strFirstFound = $key;
// echo("Key\tLength / Notification / Error\n");
// echo("$key\tFound first string member at key with length: $min!\n");
break;
}
else if ($strictMode) { return $errOtherType; } // At least 1 type other than string was found.
}
if (! isset($min)) { return $errStrNone; } // No string was found in array.
// SpeedRatio of foreach/for is approximately 2/1 as dicussed at:
// http://juliusbeckmann.de/blog/php-foreach-vs-while-vs-for-the-loop-battle.html
// If $strFirstFound is found within the first 1/SpeedRatio (=0.5) of the array, "foreach" is faster!
if (! $forLoop) {
foreach ($arr as $key => $val) {
if (is_string($val)) {
$cur = strlen($val);
// echo("$key\t$cur\n");
if ($cur == 0) { return $cur; } // 0 is the shortest possible string, so we can abort here.
if ($cur < $min) { $min = $cur; }
}
// else { echo("$key\tNo string!\n"); }
}
}
// If $strFirstFound is found after the first 1/SpeedRatio (=0.5) of the array, "for" is faster!
else {
for ($i = $strFirstFound + 1; $i < $arrLength; $i++) {
if (is_string($arr[$i])) {
$cur = strlen($arr[$i]);
// echo("$i\t$cur\n");
if ($cur == 0) { return $cur; } // 0 is the shortest possible string, so we can abort here.
if ($cur < $min) { $min = $cur; }
}
// else { echo("$i\tNo string!\n"); }
}
}
return $min;
}
function strCommonPrefixByStr($arr, $strFindShortestFirst = false) {
$arrLength = count($arr);
if ($arrLength < 2) { return false; }
// Determine loop length
/// Find shortest string in array: Can bring down iterations dramatically, but the function arrayStrLenMin() itself can cause ( more or less) iterations.
if ($strFindShortestFirst) { $end = arrayStrLenMin($arr, true); }
/// Simply start with length of first string in array: Seems quite clumsy, but may turn out effective, if arrayStrLenMin() needs many iterations.
else { $end = strlen($arr[0]); }
for ($i = 1; $i <= $end + 1; $i++) {
// Grab the part from 0 up to $i
$commonStrMax = substr($arr[0], 0, $i);
echo("Match: $i\t$commonStrMax\n");
// Loop through all the values in array, and compare if they match
foreach ($arr as $key => $str) {
echo(" Str: $key\t$str\n");
// Didn't match, return the part that did match
if ($commonStrMax != substr($str, 0, $i)) {
return substr($commonStrMax, 0, $i-1);
}
}
}
// Special case: No mismatch (hence no return) happened until loop end!
return $commonStrMax; // Thus entire first common string is the common prefix!
}
function strCommonPrefixByChar($arr, $strFindShortestFirst = false) {
$arrLength = count($arr);
if ($arrLength < 2) { return false; }
// Determine loop length
/// Find shortest string in array: Can bring down iterations dramatically, but the function arrayStrLenMin() itself can cause ( more or less) iterations.
if ($strFindShortestFirst) { $end = arrayStrLenMin($arr, true); }
/// Simply start with length of first string in array: Seems quite clumsy, but may turn out effective, if arrayStrLenMin() needs many iterations.
else { $end = strlen($arr[0]); }
for ($i = 0 ; $i <= $end + 1; $i++) {
// Grab char $i
$char = substr($arr[0], $i, 1);
echo("Match: $i\t"); echo(str_pad($char, $i+1, " ", STR_PAD_LEFT)); echo("\n");
// Loop through all the values in array, and compare if they match
foreach ($arr as $key => $str) {
echo(" Str: $key\t$str\n");
// Didn't match, return the part that did match
if ($char != $str[$i]) { // Same functionality as ($char != substr($str, $i, 1)). Same efficiency?
return substr($arr[0], 0, $i);
}
}
}
// Special case: No mismatch (hence no return) happened until loop end!
return substr($arr[0], 0, $end); // Thus entire first common string is the common prefix!
}
function strCommonPrefixByNeighbour($arr) {
$arrLength = count($arr);
if ($arrLength < 2) { return false; }
/// Get the common string prefix of the first 2 strings
$strCommonMax = strCommonPrefixByChar(array($arr[0], $arr[1]));
if ($strCommonMax === false) { return false; }
if ($strCommonMax == "") { return ""; }
$strCommonMaxLength = strlen($strCommonMax);
/// Now start looping from the 3rd string
echo("-----\n");
for ($i = 2; ($i < $arrLength) && ($strCommonMaxLength >= 1); $i++ ) {
echo(" STR: $i\t{$arr[$i]}\n");
/// Compare the maximum common string with the next neighbour
/*
//// Compare by char: Method unsuitable!
// Iterate from string end to string beginning
for ($ii = $strCommonMaxLength - 1; $ii >= 0; $ii--) {
echo("Match: $ii\t"); echo(str_pad($arr[$i][$ii], $ii+1, " ", STR_PAD_LEFT)); echo("\n");
// If you find the first mismatch from the end, break.
if ($arr[$i][$ii] != $strCommonMax[$ii]) {
$strCommonMaxLength = $ii - 1; break;
// BUT!!! We may falsely assume that the string from the first mismatch until the begining match! This new string neighbour string is completely "unexplored land", there might be differing chars closer to the beginning. This method is not suitable. Better use string comparison than char comparison.
}
}
*/
//// Compare by string
for ($ii = $strCommonMaxLength; $ii > 0; $ii--) {
echo("MATCH: $ii\t$strCommonMax\n");
if (substr($arr[$i],0,$ii) == $strCommonMax) {
break;
}
else {
$strCommonMax = substr($strCommonMax,0,$ii - 1);
$strCommonMaxLength--;
}
}
}
return substr($arr[0], 0, $strCommonMaxLength);
}
// Tests for finding the common prefix
/// Scenarios
$filesLeastInCommon = array (
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/2",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/1",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/2",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/c/1",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
);
$filesLessInCommon = array (
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/2",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/1",
"/Vol/1/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/2",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/b/c/1",
"/Vol/2/aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa/a/1",
);
$filesMoreInCommon = array (
"/Voluuuuuuuuuuuuuumes/1/a/a/1",
"/Voluuuuuuuuuuuuuumes/1/a/a/2",
"/Voluuuuuuuuuuuuuumes/1/a/b/1",
"/Voluuuuuuuuuuuuuumes/1/a/b/2",
"/Voluuuuuuuuuuuuuumes/2/a/b/c/1",
"/Voluuuuuuuuuuuuuumes/2/a/a/1",
);
$sameDir = array (
"/Volumes/1/a/a/",
"/Volumes/1/a/a/aaaaa/2",
);
$sameFile = array (
"/Volumes/1/a/a/1",
"/Volumes/1/a/a/1",
);
$noCommonPrefix = array (
"/Volumes/1/a/a/",
"/Volumes/1/a/a/aaaaa/2",
"Net/1/a/a/aaaaa/2",
);
$longestLast = array (
"/Volumes/1/a/a/1",
"/Volumes/1/a/a/aaaaa/2",
);
$longestFirst = array (
"/Volumes/1/a/a/aaaaa/1",
"/Volumes/1/a/a/2",
);
$one = array ("/Volumes/1/a/a/aaaaa/1");
$empty = array ( );
// Test Results for finding the common prefix
/*
I tested my functions in many possible scenarios.
The results, the common prefixes, were always correct in all scenarios!
Just try a function call with your individual array!
Considering iteration efficiency, I also performed tests:
I put echo functions into the functions where iterations occur, and measured the number of CLI line output via:
php <script with strCommonPrefixByStr or strCommonPrefixByChar> | egrep "^ Str:" | wc -l GIVES TOTAL ITERATION SUM.
php <Script with strCommonPrefixByNeighbour> | egrep "^ Str:" | wc -l PLUS | egrep "^MATCH:" | wc -l GIVES TOTAL ITERATION SUM.
My hypothesis was proven:
strCommonPrefixByChar wins in situations where the strings have less in common in their beginning (=prefix).
strCommonPrefixByNeighbour wins where there is more in common in the prefixes.
*/
// Test Results Table
// Used Functions | Iteration amount | Remarks
// $result = (strCommonPrefixByStr($filesLessInCommon)); // 35
// $result = (strCommonPrefixByChar($filesLessInCommon)); // 35 // Same amount of iterations, but much fewer characters compared because ByChar instead of ByString!
// $result = (strCommonPrefixByNeighbour($filesLessInCommon)); // 88 + 42 = 130 // Loses in this category!
// $result = (strCommonPrefixByStr($filesMoreInCommon)); // 137
// $result = (strCommonPrefixByChar($filesMoreInCommon)); // 137 // Same amount of iterations, but much fewer characters compared because ByChar instead of ByString!
// $result = (strCommonPrefixByNeighbour($filesLeastInCommon)); // 12 + 4 = 16 // Far the winner in this category!
echo("Common prefix of all members:\n");
var_dump($result);
// Tests for finding the shortest string in array
/// Arrays
// $empty = array ();
// $noStrings = array (0,1,2,3.0001,4,false,true,77);
// $stringsOnly = array ("one","two","three","four");
// $mixed = array (0,1,2,3.0001,"four",false,true,"seven", 8888);
/// Scenarios
// I list them from fewest to most iterations, which is not necessarily equivalent to slowest to fastest!
// For speed consider the remarks in the code considering the Speed ratio of foreach/for!
//// Fewest iterations (immediate abort on "Found other type", use "for" loop)
// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
// echo("NEW ANALYSIS:\n");
// echo("Result: " . arrayStrLenMin($arr, true, true) . "\n\n");
// }
/* Results:
NEW ANALYSIS:
Result: Array is empty!
NEW ANALYSIS:
Result: Found other type!
NEW ANALYSIS:
Key Length / Notification / Error
0 Found first string member at key with length: 3!
1 3
2 5
3 4
Result: 3
NEW ANALYSIS:
Result: Found other type!
*/
//// Fewer iterations (immediate abort on "Found other type", use "foreach" loop)
// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
// echo("NEW ANALYSIS:\n");
// echo("Result: " . arrayStrLenMin($arr, true, false) . "\n\n");
// }
/* Results:
NEW ANALYSIS:
Result: Array is empty!
NEW ANALYSIS:
Result: Found other type!
NEW ANALYSIS:
Key Length / Notification / Error
0 Found first string member at key with length: 3!
0 3
1 3
2 5
3 4
Result: 3
NEW ANALYSIS:
Result: Found other type!
*/
//// More iterations (No immediate abort on "Found other type", use "for" loop)
// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
// echo("NEW ANALYSIS:\n");
// echo("Result: " . arrayStrLenMin($arr, false, true) . "\n\n");
// }
/* Results:
NEW ANALYSIS:
Result: Array is empty!
NEW ANALYSIS:
Result: No strings found!
NEW ANALYSIS:
Key Length / Notification / Error
0 Found first string member at key with length: 3!
1 3
2 5
3 4
Result: 3
NEW ANALYSIS:
Key Length / Notification / Error
4 Found first string member at key with length: 4!
5 No string!
6 No string!
7 5
8 No string!
Result: 4
*/
//// Most iterations (No immediate abort on "Found other type", use "foreach" loop)
// foreach( array($empty, $noStrings, $stringsOnly, $mixed) as $arr) {
// echo("NEW ANALYSIS:\n");
// echo("Result: " . arrayStrLenMin($arr, false, false) . "\n\n");
// }
/* Results:
NEW ANALYSIS:
Result: Array is empty!
NEW ANALYSIS:
Result: No strings found!
NEW ANALYSIS:
Key Length / Notification / Error
0 Found first string member at key with length: 3!
0 3
1 3
2 5
3 4
Result: 3
NEW ANALYSIS:
Key Length / Notification / Error
4 Found first string member at key with length: 4!
0 No string!
1 No string!
2 No string!
3 No string!
4 4
5 No string!
6 No string!
7 5
8 No string!
Result: 4
*/
Probably there is some terribly well-regarded algorithm for this, but just off the top of my head, if you know your commonality is going to be on the left-hand side like in your example, you could do way better than your posted methodology by first finding the commonality of the first two strings, and then iterating down the rest of the list, trimming the common string as necessary to achieve commonality or terminating with failure if you trim all the way to nothing.
I think you're on the right way. But instead of incrementing i when all of the string passes, you could do this:
1) Compare the first 2 strings in the array and find out how many common characters they have. Save the common characters in a separate string called maxCommon, for example.
2) Compare the third string w/ maxCommon. If the number of common characters is smaller, trim maxCommon to the characters that match.
3) Repeat and rinse for the rest of the array. At the end of the process, maxCommon will have the string that is common to all of the array elements.
This will add some overhead because you'll need to compare each string w/ maxCommon, but will drastically reduce the number of iterations you'll need to get your results.
I assume that by "common part" you mean "longest common prefix". That is a much simpler to compute than any common substring.
This cannot be done without reading (n+1) * m characters in the worst case and n * m + 1 in the best case, where n is the length of the longest common prefix and m is the number of strings.
Comparing one letter at a time achieves that efficiency (Big Theta (n * m)).
Your proposed algorithm runs in Big Theta(n^2 * m), which is much, much slower for large inputs.
The third proposed algorithm of finding the longest prefix of the first two strings, then comparing that with the third, fourth, etc. also has a running time in Big Theta(n * m), but with a higher constant factor. It will probably only be slightly slower in practice.
Overall, I would recommend just rolling your own function, since the first algorithm is too slow and the two others will be about equally complicated to write anyway.
Check out WikiPedia for a description of Big Theta notation.
Here's an elegant, recursive implementation in JavaScript:
function prefix(strings) {
switch (strings.length) {
case 0:
return "";
case 1:
return strings[0];
case 2:
// compute the prefix between the two strings
var a = strings[0],
b = strings[1],
n = Math.min(a.length, b.length),
i = 0;
while (i < n && a.charAt(i) === b.charAt(i))
++i;
return a.substring(0, i);
default:
// return the common prefix of the first string,
// and the common prefix of the rest of the strings
return prefix([ strings[0], prefix(strings.slice(1)) ]);
}
}
not that I know of
yes: instead of comparing the substring from 0 to length i, you can simply check the ith character (you already know that characters 0 to i-1 match).
Short and sweet version, perhaps not the most efficient:
/// Return length of longest common prefix in an array of strings.
function _commonPrefix($array) {
if(count($array) < 2) {
if(count($array) == 0)
return false; // empty array: undefined prefix
else
return strlen($array[0]); // 1 element: trivial case
}
$len = max(array_map('strlen',$array)); // initial upper limit: max length of all strings.
$prevval = reset($array);
while(($newval = next($array)) !== FALSE) {
for($j = 0 ; $j < $len ; $j += 1)
if($newval[$j] != $prevval[$j])
$len = $j;
$prevval = $newval;
}
return $len;
}
// TEST CASE:
$arr = array('/var/yam/yamyam/','/var/yam/bloorg','/var/yar/sdoo');
print_r($arr);
$plen = _commonprefix($arr);
$pstr = substr($arr[0],0,$plen);
echo "Res: $plen\n";
echo "==> ".$pstr."\n";
echo "dir: ".dirname($pstr.'aaaa')."\n";
Output of the test case:
Array
(
[0] => /var/yam/yamyam/
[1] => /var/yam/bloorg
[2] => /var/yar/sdoo
)
Res: 7
==> /var/ya
dir: /var
#bumperbox
Your basic code needed some correction to work in ALL scenarios!
Your loop only compares until one character before the last character!
The mismatch can possibly occur 1 loop cycle after the latest common character.
Hence you have to at least check until 1 character after your first string's last character.
Hence your comparison operator must be "<= 1" or "< 2".
Currently your algorithm fails
if the first string is completely included in all other strings,
or completely included in all other strings except the last character.
In my next answer/post, I will attach iteration optimized code!
Original Bumperbox code PLUS correction (PHP):
function shortest($sports) {
$i = 1;
// loop to the length of the first string
while ($i < strlen($sports[0])) {
// grab the left most part up to i in length
// REMARK: Culturally biased towards LTR writing systems. Better say: Grab frombeginning...
$match = substr($sports[0], 0, $i);
// loop through all the values in array, and compare if they match
foreach ($sports as $sport) {
if ($match != substr($sport, 0, $i)) {
// didn't match, return the part that did match
return substr($sport, 0, $i-1);
}
}
$i++; // increase string length
}
}
function shortestCorrect($sports) {
$i = 1;
while ($i <= strlen($sports[0]) + 1) {
// Grab the string from its beginning with length $i
$match = substr($sports[0], 0, $i);
foreach ($sports as $sport) {
if ($match != substr($sport, 0, $i)) {
return substr($sport, 0, $i-1);
}
}
$i++;
}
// Special case: No mismatch happened until loop end! Thus entire str1 is common prefix!
return $sports[0];
}
$sports1 = array(
'Softball',
'Softball - Eastern',
'Softball - North Harbour');
$sports2 = array(
'Softball - Wester',
'Softball - Western',
);
$sports3 = array(
'Softball - Western',
'Softball - Western',
);
$sports4 = array(
'Softball - Westerner',
'Softball - Western',
);
echo("Output of the original function:\n"); // Failure scenarios
var_dump(shortest($sports1)); // NULL rather than the correct 'Softball'
var_dump(shortest($sports2)); // NULL rather than the correct 'Softball - Wester'
var_dump(shortest($sports3)); // NULL rather than the correct 'Softball - Western'
var_dump(shortest($sports4)); // Only works if the second string is at least one character longer!
echo("\nOutput of the corrected function:\n"); // All scenarios work
var_dump(shortestCorrect($sports1));
var_dump(shortestCorrect($sports2));
var_dump(shortestCorrect($sports3));
var_dump(shortestCorrect($sports4));
How about something like this? It can be further optimised by not having to check the lengths of the strings if we can use the null terminating character (but I am assuming python strings have length cached somewhere?)
def find_common_prefix_len(strings):
"""
Given a list of strings, finds the length common prefix in all of them.
So
apple
applet
application
would return 3
"""
prefix = 0
curr_index = -1
num_strings = len(strings)
string_lengths = [len(s) for s in strings]
while True:
curr_index += 1
ch_in_si = None
for si in xrange(0, num_strings):
if curr_index >= string_lengths[si]:
return prefix
else:
if si == 0:
ch_in_si = strings[0][curr_index]
elif strings[si][curr_index] != ch_in_si:
return prefix
prefix += 1
I would use a recursive algorithm like this:
1 - get the first string in the array
2 - call the recursive prefix method with the first string as a param
3 - if prefix is empty return no prefix
4 - loop through all the strings in the array
4.1 - if any of the strings does not start with the prefix
4.1.1 - call recursive prefix method with prefix - 1 as a param
4.2 return prefix
// Common prefix
$common = '';
$sports = array(
'Softball T - Counties',
'Softball T - Eastern',
'Softball T - North Harbour',
'Softball T - South',
'Softball T - Western'
);
// find mini string
$minLen = strlen($sports[0]);
foreach ($sports as $s){
if($minLen > strlen($s))
$minLen = strlen($s);
}
// flag to break out of inner loop
$flag = false;
// The possible common string length does not exceed the minimum string length.
// The following solution is O(n^2), this can be improve.
for ($i = 0 ; $i < $minLen; $i++){
$tmp = $sports[0][$i];
foreach ($sports as $s){
if($s[$i] != $tmp)
$flag = true;
}
if($flag)
break;
else
$common .= $sports[0][$i];
}
print $common;
The solutions here work only for finding commonalities at the beginning of strings. Here is a function that looks for the longest common substring anywhere in an array of strings.
http://www.christopherbloom.com/2011/02/24/find-the-longest-common-substring-using-php/
The top answer seemed a bit long, so here's a concise solution with a runtime of O(n2).
function findLongestPrefix($arr) {
return array_reduce($arr, function($prefix, $item) {
$length = min(strlen($prefix), strlen($item));
while (substr($prefix, 0, $length) !== substr($item, 0, $length)) {
$length--;
}
return substr($prefix, 0, $length);
}, $arr[0]);
}
print findLongestPrefix($sports); // Softball -
For what it's worth, here's another alternative I came up with.
I used this for finding the common prefix for a list of products codes (ie. where there are multiple product SKUs that have a common series of characters at the start):
/**
* Try to find a common prefix for a list of strings
*
* #param array $strings
* #return string
*/
function findCommonPrefix(array $strings)
{
$prefix = '';
$chars = array_map("str_split", $strings);
$matches = call_user_func_array("array_intersect_assoc", $chars);
if ($matches) {
$i = 0;
foreach ($matches as $key => $value) {
if ($key != $i) {
unset($matches[$key]);
}
$i++;
}
$prefix = join('', $matches);
}
return $prefix;
}
This is an addition to the #Gumbo answer. If you want to ensure that the chosen, common prefix does not break words, use this. I am just having it look for a blank space at the end of the chosen string. If that exists we know that there was more to all of the phrases, so we truncate it.
function product_name_intersection($array){
$pl = 0; // common prefix length
$n = count($array);
$l = strlen($array[0]);
$first = current($array);
while ($pl < $l) {
$c = $array[0][$pl];
for ($i=1; $i<$n; $i++) {
if (!isset($array[$i][$pl]) || $array[$i][$pl] !== $c) break 2;
}
$pl++;
}
$prefix = substr($array[0], 0, $pl);
if ($pl < strlen($first) && substr($prefix, -1, 1) != ' ') {
$prefix = preg_replace('/\W\w+\s*(\W*)$/', '$1', $prefix);
}
$prefix = preg_replace('/^\W*(.+?)\W*$/', '$1', $prefix);
return $prefix;
}
Sharing a Typescript solution for this question. I split it into 2 methods, just to keep it clean while at it.
function longestCommonPrefix(strs: string[]): string {
let output = '';
if(strs.length > 0) {
output = strs[0];
if(strs.length > 1) {
for(let i=1; i <strs.length; i++) {
output = checkCommonPrefix(output, strs[i]);
}
}
}
return output;
};
function checkCommonPrefix(str1: string, str2: string): string {
let output = '';
let len = Math.min(str1.length, str2.length);
let i = 0;
while(i < len) {
if(str1[i] === str2[i]) {
output += str1[i];
} else {
i = len;
}
i++;
}
return output;
}

Categories