Python/project_euler
Mehdi ALAOUI 02c0daf9e5 Adding unit tests for sorting functions, and improving readability on some sorting algorithms (#784)
* Adding variable to fade out ambiguity

* More readability on merge sorting algorithm

* Updating merge_sort_fastest description and explaining why

* Adding tests file with imports

* Standardazing filenames and function names

* Adding test cases and test functions

* Adding test loop

* Putting 'user oriented code' inside main condition for having valid imports

* Fixing condition

* Updating tests: adding cases and todo list

* Refactoring first euler problem's first solution
2019-05-25 21:41:24 +08:00
..
problem_01 Adding unit tests for sorting functions, and improving readability on some sorting algorithms (#784) 2019-05-25 21:41:24 +08:00
problem_02 Added an O(1) solution to problem 002 (#776) 2019-05-02 00:44:21 +08:00
problem_03 Project Euler problem 3 small fix (#631) 2019-02-10 00:35:52 +08:00
problem_04 Project Euler problem 4 sol 2 small fix (#632) 2019-02-11 10:42:43 +08:00
problem_05 all valid python 3 2018-10-20 14:45:08 -05:00
problem_06 Project Euler problem 6 solution 3 (#640) 2019-02-14 12:08:21 +08:00
problem_07 Project Euler problem 7 solution 3 (#642) 2019-02-10 01:49:57 +08:00
problem_08 Update sol1.py (#643) 2019-02-13 18:02:32 +08:00
problem_09 Create project Euler problem 9 sol3.py (#645) 2019-02-13 00:40:05 +08:00
problem_10 Create sol2.py 2018-12-06 23:19:28 +08:00
problem_11 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_12 Merge branch 'patch-12' of git://github.com/SandersLin/Python 2018-12-06 21:34:33 +01:00
problem_13 all valid python 3 2018-10-20 14:45:08 -05:00
problem_14 Project Euler Problem 14 Solution 2 (#651) 2019-02-10 02:00:05 +08:00
problem_15 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_16 all valid python 3 2018-10-20 14:45:08 -05:00
problem_17 Use ==/!= to compare str, bytes, and int literals (#767) 2019-05-16 19:26:46 +08:00
problem_19 Use ==/!= to compare str, bytes, and int literals (#767) 2019-05-16 19:26:46 +08:00
problem_20 all valid python 3 2018-10-20 14:45:08 -05:00
problem_21 Updated Euler problem 21 sol1.py 2019-04-19 21:30:40 +05:30
problem_22 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_24 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_25 Create project Euler problem 25 sol2.py (#658) 2019-02-21 00:57:48 +08:00
problem_28 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_29 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_31 p2 sol2 fixed (#669) 2019-02-10 00:59:43 +08:00
problem_36 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_40 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_48 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_52 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_53 snake_case all the things 2018-10-19 17:14:25 -05:00
problem_76 snake_case all the things 2018-10-19 17:14:25 -05:00
README.md increment 1 2018-10-19 07:48:28 -05:00

ProjectEuler

Problems are taken from https://projecteuler.net/.

Project Euler is a series of challenging mathematical/computer programming problems that will require more than just mathematical insights to solve. Project Euler is ideal for mathematicians who are learning to code.

Here the efficiency of your code is also checked. I've tried to provide all the best possible solutions.

PROBLEMS:

  1. If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3,5,6 and 9. The sum of these multiples is 23. Find the sum of all the multiples of 3 or 5 below N.

  2. Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be: 1,2,3,5,8,13,21,34,55,89,.. By considering the terms in the Fibonacci sequence whose values do not exceed n, find the sum of the even-valued terms.
    e.g. for n=10, we have {2,8}, sum is 10.

  3. The prime factors of 13195 are 5,7,13 and 29. What is the largest prime factor of a given number N? e.g. for 10, largest prime factor = 5. For 17, largest prime factor = 17.

  4. A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 × 99. Find the largest palindrome made from the product of two 3-digit numbers which is less than N.

  5. 2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smallest positive number that is evenly divisible(divisible with no remainder) by all of the numbers from 1 to N?

  6. The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ten natural numbers is, (1 + 2 + ... + 10)^2 = 552 = 3025 Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 385 = 2640. Find the difference between the sum of the squares of the first N natural numbers and the square of the sum.

  7. By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime number?

  8. A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a^2 + b^2 = c^2 There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.

  9. 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 Which starting number, under one million, produces the longest chain?

  10. 2^15 = 32768 and the sum of its digits is 3 + 2 + 7 + 6 + 8 = 26. What is the sum of the digits of the number 2^1000?

  11. n! means n × (n 1) × ... × 3 × 2 × 1 For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800, and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27. Find the sum of the digits in the number 100!