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A Faster Exponentiation Algorithm by Squaring (Power Function)

December 17, 2012 algorithms, math, programming languages, python No Comments
If we want to compute , we can have a naive implementation by multiplication of base number x. def pow(x, n): r = 1 for _ in xrange(n): r *= …
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GCD, Greatest Common Divisor

December 17, 2012 algorithms, beginner, implementation, math, programming languages, recursive No Comments
In , the GCD (Greatest Common Divisor) is given in brief details. The algorithm can be implemented in both recursive and iterative forms. The recursive formula is , and …
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Codeforces: A. System Administrator

December 7, 2012 beginner, codeforces, implementation, math, programming languages, python No Comments
The problem is from codeforces: http://codeforces.com/problemset/problem/245/A A really simple math problem, can be solved within a few lines of Python code: #!/usr/bin/env python ax = asum = 0 bx = …
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Quick Demonstration of Quick Sort in Python

December 1, 2012 algorithms, code, code library, implementation, programming languages, python, recursive, sorting 4 Comments
Quick Demonstration of Quick Sort in Python
Quick Sort is a comparison sorting method, on average, the complexity is . In worst cases, e.g. when the array of elements are already sorted, it is degraded into …
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Codeforces: B. Internet Address

November 30, 2012 algorithms, beginner, brute force, codeforces, implementation, programming languages, python, string No Comments
The problem is from codeforces: http://www.codeforces.com/problemset/problem/245/B It is an easy string-matching related problem. You can have many ways to solve this. Because of the limitation, i.e. the first letter must …
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Faster PI Computation

November 30, 2012 algorithms, beginner, implementation, math, programming languages, python No Comments
In , two equations are used and compare the efficiency of computation of the math constant . The following are some commonly-used equations to compute the We pick the …
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