Binary search algorithm - Codility
Binary search algorithm The binary search is a simple and very useful algorithm whereby many linear algorithms can be optimized to run in logarithmic time. 14.1. Intuition Imagine the following game. The computer selects an integer value between 1 and 16 and our goal is to guess this number with a minimum number of questions. For each guessed
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Euclidean algorithm - Codility
codility.comLet’s prove that gcd(a,b) = gcd(b,r), where r = a mod b and a = b·t+r: • Firstly, let d = gcd(a,b).We get d | (b·t+r) and d | b, so d | r. Therefore we get gcd(a,b) | gcd(b,r). • Secondly, let c = gcd(b,r).We get c | b and c | r, so c | a. Therefore we get gcd(b,r) | gcd(a,b). Hence gcd(a,b) = gcd(b,r).Notice that we can recursively call a function while a is not divisible by b. 12.2 ...
Time complexity - Codility
codility.comChapter 3 Time complexity Use of time complexity makes it easy to estimate the running time of a program. Performing an accurate calculation of a program’s operation time is a very labour-intensive process
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