Regular expression to match a missing number in a string sequence - c++

I'm reproducing verbatim a coding exercise statement below:
Given a string consisting only of digits representing a sequence, the goal is to find a missing number. For instance, given the string 596597598600601602 the missing number is 599. You may assume all the numbers
are positive integers and the sequence increases by one at
each number except the missing number. The numbers
will have no more than six digits and the string will have
no more than four hundred characters.
I've managed to come up with the solution in C++ code without using any regular expression whatsoever. Will the incorporation of regular expressions in the logic either simplify the logic or reduce the complexity? If yes, some pointers on how I can go about the task would be appreciated.

Related

Can I write a regular expression that checks two lengths are equal?

I want to match strings with two numbers of equal length, like : 42-42, 0-2, 12345-54321.
I don't want to match strings where the two numbers have different lengths, like : 42-1, 000-0000.
The two parts (separated by the hyphen) must have the same length.
I wonder if it is possible to do a regexp like [0-9]{n}-[0-9]{n} with n variable but equal?
If there is no clean way to that in one pattern (I must put that in the pattern attribute of a HTML form input), I will do something like /\d-\d|\d{2}-\d{2}|\d{3}-\d{3}|<etc>/ up to the maximum length (16 in my case).
This is not possible with regular expressions, because this is neither a type-3 grammatic (can be done with regular expression) nor a type-2 grammatic (can be done with regular expressions, which support recursion).
The higher grammar levels (type-1 grammatic and type-0 grammatic) can only be parsed using a Turing machine (or something compatible like your programming language).
More about this can be found here:
https://en.wikipedia.org/wiki/Chomsky_hierarchy#The_hierarchy
Using a programming language, you need to count the first sequence of digits, check for the minus and then check if the same amount of digits follows.
Without the minus symbol, this would be a type-2 grammatic and could be solved using a recursive regular expression (even if the right sequence shall not contain digits), like this: ^(\d(?1)\d)$
So you need to write your own, non-regular-expression check code.
You should probably split the String around the separator and compare the length of both parts.
The tool of choice in regex to use when specifying "the same thing than before" are back-references, however they reference the matched value rather than the matching pattern : no way of using a back-reference to .{3} to match any 3 characters.
However, if you only need to validate a finite number of lengths, it can be (painfully) done with alternation :
\d-\d will match up to 1 character on both sides of the separator
\d-\d|\d{2}-\d{2} will match up to 2 characters on both sides of the separator
...

Regular Expression (consecutive 1s and 0s)

Hey I'm supposed to develop a regular expression for a binary string that has no consecutive 0s and no consecutive 1s. However this question is proving quite tricky. I'm not quite sure how to approach it as is.
If anyone could help that'd be great! This is new to me.
You're basically looking for alternating digits, the string:
...01010101010101...
but one that doesn't go infinitely in either direction.
That would be an optional 0 followed by any number of 10 sets followed by an optional 1:
^0?(10)*1?$
The (10)* (group) gives you as many of the alternating digits as you need and the optional edge characters allow you to start/stop with a half-group.
Keep in mind that also allows an empty string which may not be what you want, though you could argue that's still a binary string with no consecutive identical digits. If you need it to have a length of at least one, you can do that with a more complicated "or" regex like:
^(0(10)*1?)|(1(01)*0?)$
which makes the first digit (either 1 or 0) non-optional and adjusts the following sequences accordingly for the two cases.
But a simpler solution may be better if it's allowed - just ensure it has a length greater than zero before doing the regex check.

regex - At most two pair of consecutives

I'm taking a computation course which also teaches about regular expressions. There is a difficult question that I cannot answer.
Find a regular expression for the language that accepts words that contains at most two pair of consecutive 0's. The alphabet consists of 0 and 1.
First, I made an NFA of the language but cannot convert it to a GNFA (that later be converted to regex). How can I find this regular expressin? With or without converting it to a GNFA?
(Since this is a homework problem, I'm assuming that you just want enough help to get started, and not a full worked solution?)
Your mileage may vary, but I don't really recommend trying to convert an NFA into a regular expression. The two are theoretically equivalent, and either can be converted into the other algorithmically, but in my opinion, it's not the most intuitive way to construct either one.
Instead, one approach is to start by enumerating various possibilities:
No pairs of consecutive zeroes at all; that is, every zero, except at the end of the string, must be followed by a one. So, the string consists of a mixed sequence of 1 and 01, optionally followed by 0:
(1|01)*(0|ε)
Exactly one pair of consecutive zeroes, at the end of the string. This is very similar to the previous:
(1|01)*00
Exactly one pair of consecutive zeroes, not at the end of the string — and, therefore, necessarily followed by a one. This is also very similar to the first one:
(1|01)*001(1|01)*(0|ε)
To continue that approach, you would then extend the above to support two pair of consecutive zeroes; and lastly, you would merge all of these into a single regular expression.
(0+1)*00(0+1)*00(0+1)* + (0+1)*000(0+1)*
contains at most two pair of consecutive 0's
(1|01)*(00|ε)(1|10)*(00|ε)(1|10)*

RegEx Numeric Check in Range?

I'm new to StackOverflow, so please let me know if there is a better way to ask the following question.
I need to create a regular expression that detects whether a field in the database is numeric, and if it is numeric does it fall within a valid range (i.e. 1-50). I've tried [1-50], which works except for the instances where a single digit number is preceded by a 0 (i.e. 06). 06 should still be considered a valid number, since I can later convert that to a number.
I really appreciate your help! I'm trying to learn more about regular expressions, and have been learning all I can from: www.regular-expressions.info. If you guys have recommendations of other sites to bone up on this stuff I would appreciate it!
Try this
^(0?[1-9])|([1-4][0-9])|(50)$
The idea of this regex is to break the problem down into cases
0?[1-9] takes care of the single digit case allowing for an optional preceeding 0
[1-4][0-9] takes care of all numbers from 10 to 49. This also allwows for a preceeding 0 on a single digit
50 takes care of 50
Regular expressions work on characters (in this case digits), not numbers. You need to have a separate pattern for each number of digits in your pattern, and combine them with | (the OR operator) like the other answers have suggested. However, consider just checking if the text is numeric with a regular expression (like [0-9]+) and then converting to an integer and checking the integer is within range.
You can't easily do range checking with regular expressions. You can -- with some work -- develop a pattern that recognizes a numeric range, but it's usually quite complex, and difficult to modify for a slightly different range.
You're better off breaking this into two parts.
Recognize the number pattern (^\d+$).
Check the range of that number in an application program.
^0?[1-50]{1,2}$

Random string that matches a regexp [duplicate]

This question already has answers here:
Using Regex to generate Strings rather than match them
(12 answers)
Closed 1 year ago.
How would you go about creating a random alpha-numeric string that matches a certain regular expression?
This is specifically for creating initial passwords that fulfill regular password requirements.
Welp, just musing, but the general question of generating random inputs that match a regex sounds doable to me for a sufficiently relaxed definition of random and a sufficiently tight definition of regex. I'm thinking of the classical formal definition, which allows only ()|* and alphabet characters.
Regular expressions can be mapped to formal machines called finite automata. Such a machine is a directed graph with a particular node called the final state, a node called the initial state, and a letter from the alphabet on each edge. A word is accepted by the regex if it's possible to start at the initial state and traverse one edge labeled with each character through the graph and end at the final state.
One could build the graph, then start at the final state and traverse random edges backwards, keeping track of the path. In a standard construction, every node in the graph is reachable from the initial state, so you do not need to worry about making irrecoverable mistakes and needing to backtrack. If you reach the initial state, stop, and read off the path going forward. That's your match for the regex.
There's no particular guarantee about when or if you'll reach the initial state, though. One would have to figure out in what sense the generated strings are 'random', and in what sense you are hoping for a random element from the language in the first place.
Maybe that's a starting point for thinking about the problem, though!
Now that I've written that out, it seems to me that it might be simpler to repeatedly resolve choices to simplify the regex pattern until you're left with a simple string. Find the first non-alphabet character in the pattern. If it's a *, replicate the preceding item some number of times and remove the *. If it's a |, choose which of the OR'd items to preserve and remove the rest. For a left paren, do the same, but looking at the character following the matching right paren. This is probably easier if you parse the regex into a tree representation first that makes the paren grouping structure easier to work with.
To the person who worried that deciding if a regex actually matches anything is equivalent to the halting problem: Nope, regular languages are quite well behaved. You can tell if any two regexes describe the same set of accepted strings. You basically make the machine above, then follow an algorithm to produce a canonical minimal equivalent machine. Do that for two regexes, then check if the resulting minimal machines are equivalent, which is straightforward.
String::Random in Perl will generate a random string from a subset of regular expressions:
#!/usr/bin/perl
use strict;
use warnings;
use String::Random qw/random_regex/;
print random_regex('[A-Za-z]{3}[0-9][A-Z]{2}[!##$%^&*]'), "\n";
If you have a specific problem, you probably have a specific regular expression in mind. I would take that regular expression, work out what it means in simple human terms, and work from there.
I suspect it's possible to create a general regex random match generator, but it's likely to be much more work than just handling a specific case - even if that case changes a few times a year.
(Actually, it may not be possible to generate random matches in the most general sense - I have a vague memory that the problem of "does any string match this regex" is the halting problem in disguise. With a very cut-down regex language you may have more luck though.)
I have written Parsley, which consist of a Lexer and a Generator.
Lexer is for converting a regular expression-like string into a sequence of tokens.
Generator is using these tokens to produce a defined number of codes.
$generator = new \Gajus\Parsley\Generator();
/**
* Generate a set of random codes based on Parsley pattern.
* Codes are guaranteed to be unique within the set.
*
* #param string $pattern Parsley pattern.
* #param int $amount Number of codes to generate.
* #param int $safeguard Number of additional codes generated in case there are duplicates that need to be replaced.
* #return array
*/
$codes = $generator->generateFromPattern('FOO[A-Z]{10}[0-9]{2}', 100);
The above example will generate an array containing 100 codes, each prefixed with "FOO", followed by 10 characters from "ABCDEFGHKMNOPRSTUVWXYZ23456789" haystack and 2 numbers from "0123456789" haystack.
This PHP library looks promising: ReverseRegex
Like all of these, it only handles a subset of regular expressions but it can do fairly complex stuff like UK Postcodes:
([A-PR-UWYZ]([0-9]([0-9]|[A-HJKSTUW])?|[A-HK-Y][0-9]([0-9]|[ABEHMNPRVWXY])?) ?[0-9][ABD-HJLNP-UW-Z]{2}|GIR0AA)
Outputs
D43WF
B6 6SB
MP445FR
P9 7EX
N9 2DH
GQ28 4UL
NH1 2SL
KY2 9LS
TE4Y 0AP
You'd need to write a string generator that can parse regular expressions and generate random members of character ranges for random lengths, etc.
Much easier would be to write a random password generator with certain rules (starts with a lower case letter, has at least one punctuation, capital letter and number, at least 6 characters, etc) and then write your regex so that any passwords created with said rules are valid.
Presuming you have both a minimum length and 3-of-4* (or similar) requirement, I'd just be inclined to use a decent password generator.
I've built a couple in the past (both web-based and command-line), and have never had to skip more than one generated string to pass the 3-of-4 rule.
3-of-4: must have at least three of the following characteristics: lowercase, uppercase, number, symbol
It is possible (for example, Haskell regexp module has a test suite which automatically generates strings that ought to match certain regexes).
However, for a simple task at hand you might be better off taking a simple password generator and filtering its output with your regexp.