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Problem 14 05 April 2002 The following iterative sequence is defined for the set of positive integers: n n/2 (n is even) n 3n + 1 (n is odd) Using the rule above and starting with 13, we generate the following sequence: 13 40 20 10 5 16 8 4 2 1 It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. Although it has not been proved yet (Collatz Problem), it is tho..

http://effbot.org/pyfaq/how-do-i-generate-random-numbers-in-python.htm How do I generate random numbers in Python? The standard random module implements a random number generator. Usage is simple:import random print random.random() This prints a random floating point number in the range [0, 1) (that is, between 0 and 1, including 0.0 but always smaller than 1.0). There are also many other specia..

Problem 13 22 March 2002 Work out the first ten digits of the sum of the following one-hundred 50-digit numbers. 37107287533902102798797998220837590246510135740250 46376937677490009712648124896970078050417018260538 74324986199524741059474233309513058123726617309629 91942213363574161572522430563301811072406154908250 23067588207539346171171980310421047513778063246676 892616706966236338201363784183..

Problem 12 08 March 2002 The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be: 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... Let us list the factors of the first seven triangle numbers: 1: 1 3: 1,3 6: 1,2,3,6 10: 1,2,5,10 15: 1,3,5,15 21: 1,3,7,21 28: 1,2,4,7,14,28 We can see that ..

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http://stackoverflow.com/questions/818828/is-it-possible-to-implement-a-python-for-range-loop-without-an-iterator-variable

http://pydev.org/ PyDev is a Python IDE for Eclipse, which may be used in Python, Jython and IronPython development.It comes with many goodies such as:Django integrationCode completionCode completion with auto importSyntax highlightingCode analysisGo to definitionRefactoringMark occurrencesDebuggerRemote debuggerTokens browserInteractive consoleUnittest integrationCode coverageand many others: h..

http://pypy.org/ PyPy는 Python의 또다른 구현체로, JIT 기법을 써서 Python 프로그램을 빠르게 실행한다. PyPy is a fast, compliant alternative implementation of the Python language (2.7.2). It has several advantages and distinct features:Speed: thanks to its Just-in-Time compiler, Python programs often run faster on PyPy.(What is a JIT compiler?)Memory usage: large, memory-hungry Python programs might end up taking less spac..

Problem 10 08 February 2002 The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below two million. Answer: 142913828922 C# using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Euler { class Program { static void Main(string[] args) { const long pmax = 2000000; bool[] isPrime = new bool[pmax]; for (long i = 2; i

Problem 9 25 January 2002 A Pythagorean triplet is a set of three natural numbers, a b c, for which, a2 + b2 = c2For example, 32 + 42 = 9 + 16 = 25 = 52.There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc. Answer: 31875000 C# using System; using System.Collections.Generic; using System.Linq; using System.Text; namespace Euler9 { class Program { static vo..