Tuesday, March 30, 2010

awk, uniq, tr and grep

Some links:

Remove duplicate lines with uniq
A user's guide for GNU AWK
AWK one-liners

AWK can process each line of a file and gives relevant output.

One problem is to find the number of occurrences of a word in a file. It's easy to output the lines that contain such a word, or count the number of such lines. But if a line contains multiple occurrences of a word, the solution is not so easy. One solution is to use the "tr" command to break the fields in a line to one word each line, and then employ common approach.

grep can be used to find a word in files. The following recursively find in current directory and sub-directories for files that contain "word":
grep -R "word" *

Saturday, March 13, 2010

Pi Day

Quite interesting:

http://en.wikipedia.org/wiki/Pi_Day

探索π值大事记

China Digital Science and Technology Museum.

Saturday, March 6, 2010

Wildcard character pattern matching

The problem is how to do string matching on a pattern including '*' (0-any characters) and '?' (0-1 character) wildcard characters.

Obviously when come into '*', you can ignore it, or eat the current input char, then recursively repeat this process. When come into '?', you can ignore it or eat the current input char. Therefore comes this backtracking recursive solution:

int match(char * s, char * p) {
printf("string:%s \t pattern:%s\n", s, p);

if (*s == 0) return *p == 0;
if (*p == 0) return 1; // or "return *s == 0;" if you don't want extra char in s.
if ('?' == *p) return match(s+1, p+1) || match(s, p+1);
if ('*' == *p) return match(s+1, p) || match(s, p+1);
if (*s == *p) return match(s+1, p+1);
return 0;
}

int DoMatch(char * s, char * p) {
if (s == NULL) return NULL == p;
if (p == NULL) return 1; // or NULL == s if don't want extra char in s.
return match(s, p);
}

Call DoMatch(string, pattern) to start the process. Note in the implementation you must use a+1 instead of ++a since the latter would change the value of a and causes problem for the next invocation of match call. Use of a++ is even worse since a won't be incremented at all until the match call finishes. These are simple issues but easy to ignore until you stumble into problem.

Since backtracking is used, this solution can be exponential in nature. This solution can be used when the input size is small.

This problem obviously is a simplification of regular expression string matching, such as used in lex, in Perl, Python, Java, C# etc. In a general regular expression we start with several basic building blocks (single symbol, concatenation of symbols, kleene closure (*, extensions are + and ?), alternation (|)) to build up the NFA for a regular expression. The next key step is to convert a NFA (Non-deterministic Finite Automata) to a DFA (Deterministic Finite Automata). Using DFA, the complexity is O(n) or linear, and therefore is the ideal solution. Check any computation theory textbook for the algorithm.

Wednesday, February 17, 2010

Career-Cup Top 150 Questions

The book is pretty easy to read.

There are over 20 chapters, each covers one area of topic, includes a short discussion and a small number of relevant problems.

Solutions to all questions are provided at the later half of the book.
http://www.docin.com/p-41796787.html
http://www.careercup.com/book

Thursday, February 11, 2010

Reservoir Sampling

Problem: Given a stream of n elements (n is unknown), sample an element with the same probability for each element in ONE pass. (e.g. given a text file with unknown number of lines, randomly print one line in the same probability for each line, using ONE pass only.)

If two passes are allowed, then it's easy since the first pass can get the number of lines, then just randomly pick one in second pass. For one pass, this does not work since total number of lines is unknown.

Solution: Reservoir Sampling.

References:
http://blogs.msdn.com/spt/archive/2008/02/05/reservoir-sampling.aspx
http://gregable.com/2007/10/reservoir-sampling.html

[Added 3/6/2010]
A straightforward way of thinking about this is:

At the n-th element, we already have a sampled element x for the first n-1 elements, now choose between x and n with the probability of (n-1)/n for x, and 1/n for the n-th element. This is is someway similar to the card shuffling algorithm.

The next extension is to sample m (instead of 1) elements out of n. Then just choose the n-th element with probability m/n, and if chosen, replace the n-th element with a random element in the previously chosen m elements.

The next extension is weighted sampling. There are discussion in the first link above.

Thursday, February 4, 2010

ASP.NET's Membership, Roles, and Profile

Pretty good introduction to ASP.NET's Membership, Roles, and Profile:
http://www.4guysfromrolla.com/articles/121405-1.aspx

Get UserId:
MembershipUser myObject = Membership.GetUser();
string UserID = myObject.ProviderUserKey.ToString();

Code to update membership property:
MembershipUser u = Membership.GetUser("member");
u.IsApproved = false;
Membership.UpdateUser(u);
Note that must use UpdateUser() method otherwise it won't update.

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