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Enhance your C++ logics and algorithms

What’s The First Number to Have N Factors or More?

I am working on a problem where I need to find the first integer which has N or more factors, where N is provided. My approach was to pre-generate a table using the number of factors as index, and the first integer that has that number of factors or more as value. I make the […]

This entry was posted in Algorithms, C++, Number Theory on January 14, 2012.

Using the Built-in Sort and Search Functions in C++

Being able to implement your own versions of quicksort (as well as other sorts that might be suitable for the occasion) and binary search algorithms is important (you can check my own implementations here). However, when you are participating in programming contests and challenges the last thing you want to worry about is whether or […]

This entry was posted in C++ on January 10, 2012.

Generating Permutations in C++

Suppose you have the following set: {0,1,2}. How do you generate all the possible permutations of such set? One possible approach is to use recursion. First we need to break the problem into smaller sub-problems. This could be done by splitting the set into two parts. We keep the right side fixed, and then find […]

This entry was posted in C++, Combinatorics on January 7, 2012.

Powerset Algorithm in C++

A powerset of a given set is the combination of all subsets, including the empty subset and the set itself. Suppose we have the following set: {1,2,3}. Its powerset would be: {1,2,3} {1,2} {1,3} {2,3} {1} {2} {3} Creating an algorithm to generate a powerset is not trivial. The first idea you can use is […]