remove project_euler

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Malte Jürgens 2021-05-10 18:24:01 +02:00
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@ -50,7 +50,6 @@ Algorithms in this repo should not be how-to examples for existing Ruby packages
#### Other Requirements for Submissions #### Other Requirements for Submissions
- If you are submitting code in the `project_euler/` directory, please also read [the dedicated Guideline](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/README.md) before contributing to our Project Euler library.
- Strictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts. - Strictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts.
- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure. - Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure.
- If possible, follow the standard *within* the folder you are submitting to. - If possible, follow the standard *within* the folder you are submitting to.

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## Other ## Other
* [Fisher Yates](https://github.com/TheAlgorithms/Ruby/blob/master/other/fisher_yates.rb) * [Fisher Yates](https://github.com/TheAlgorithms/Ruby/blob/master/other/fisher_yates.rb)
## Project Euler
* Problem 1
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_1/sol1.rb)
* Problem 2
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_2/sol1.rb)
* Problem 20
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_20/sol1.rb)
* Problem 21
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_21/sol1.rb)
* Problem 22
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_22/sol1.rb)
* Problem 3
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_3/sol1.rb)
* [Sol2](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_3/sol2.rb)
* Problem 4
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_4/sol1.rb)
* [Sol2](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_4/sol2.rb)
* Problem 5
* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_5/sol1.rb)
## Searches ## Searches
* [Binary Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/binary_search.rb) * [Binary Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/binary_search.rb)
* [Depth First Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/depth_first_search.rb) * [Depth First Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/depth_first_search.rb)

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# Project Euler
Problems are taken from https://projecteuler.net/, the Project Euler. [Problems are licensed under CC BY-NC-SA 4.0](https://projecteuler.net/copyright).
Project Euler is a series of challenging mathematical/computer programming problems that require more than just mathematical
insights to solve. Project Euler is ideal for mathematicians who are learning to code.
## Solution Guidelines
Welcome to [TheAlgorithms/Ruby](https://github.com/TheAlgorithms/Ruby)! Before reading the solution guidelines, make sure you read the whole [Contributing Guidelines](https://github.com/TheAlgorithms/Ruby/blob/master/CONTRIBUTING.md) as it won't be repeated in here. If you have any doubt on the guidelines, please feel free to [state it clearly in an issue](https://github.com/TheAlgorithms/Ruby/issues/new) or ask the community in [Gitter](https://gitter.im/TheAlgorithms). Be sure to read the [Coding Style](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/README.md#coding-style) before starting solution.
### Coding Style
* Please maintain consistency in project directory and solution file names. Keep the following points in mind:
* Create a new directory only for the problems which do not exist yet.
* Please name the project **directory** as `problem_<problem_number>` where `problem_number` should be filled with 0s so as to occupy 3 digits. Example: `problem_001`, `problem_002`, `problem_067`, `problem_145`, and so on.
* You can have as many helper functions as you want but there should be one main function called `solution` which should satisfy the conditions as stated below:
* It should contain positional argument(s) whose default value is the question input. Example: Please take a look at [Problem 1](https://projecteuler.net/problem=1) where the question is to *Find the sum of all the multiples of 3 or 5 below 1000.* In this case the main solution function will be `solution(limit = 1000)`.
* When the `solution` function is called without any arguments like so: `solution()`, it should return the answer to the problem.

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# 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 1000.
def divisible_by_three_or_five?(number)
(number % 3).zero? || (number % 5).zero?
end
sum = 0
(1...1000).each do |i|
sum += i if divisible_by_three_or_five?(i)
end
p sum

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# 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 four million,
# find the sum of the even-valued terms.
even_fib_sum = 0
fib_first = 1
fib_second = 2
while fib_second < 4_000_000
even_fib_sum += fib_second if fib_second.even?
fib_second += fib_first
fib_first = fib_second - fib_first
end
p even_fib_sum

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# frozen_string_literal: true
# n! means n x (n - 1) x ... x 3 x 2 x 1
# For example, 10! = 10 x 9 x ... x 3 x 2 x 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!
# method to calculate factorial of a number
def factorial(number)
number.downto(1).reduce(:*)
end
# fetch digits of factorial of `number` and find
# sum of all those digits, and prints the result on the console
number = 100
puts factorial(number).digits.sum

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# frozen_string_literal: true
# Let d(n) be defined as the sum of proper divisors of n
# (numbers less than n which divide evenly into n).
# If d(a) = b and d(b) = a, where a & b, then a and b are an amicable pair.
# and each of a and b are called amicable numbers.
#
# For example,
#
# The proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110;
# therefore d(220) = 284.
#
# The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220.
#
# Evaluate the sum of all the amicable numbers under 10000.
# get list of all divisors of `number`
def get_divisors(number)
divisors = []
(1..(Math.sqrt(number).to_i)).each do |num|
if (number % num).zero?
divisors << num
divisors << number / num
end
end
divisors
end
# get list of all proper divisors of `number` i.e. removing `number` from
# the list of divisors
def get_proper_divisors(number)
divisors = get_divisors(number)
divisors.delete(number)
divisors
end
# implementation of a method `d` as mentioned in the question
# i.e. finding sum of all proper divisors of `number`
def d(number)
get_proper_divisors(number).sum
end
# given an upper `limit`, this method finds all amicable numbers
# under this `limit`
def find_amicable_numbers(limit)
result = []
(1...limit).each do |a|
b = d(a)
res = d(b)
result.push(a) if (a == res) && (a != b)
end
result
end
# calling `find_amicable_numbers` method and finding sum of all such numbers
# below 10000, and printing the result on the console
puts find_amicable_numbers(10_000).sum

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# frozen_string_literal: true
# Problem 22
# Using names.txt (right click and 'Save Link/Target As...'),
# a 46K text file containing over five-thousand first names,
# begin by sorting it into alphabetical order.
# Then working out the alphabetical value for each name,
# multiply this value by its alphabetical position in the list to obtain a name score.
# For example, when the list is sorted into alphabetical order,
# COLIN, which is worth 3 + 15 + 12 + 9 + 14 = 53,
# is the 938th name in the list. So, COLIN would obtain a score of 938 * 53 = 49714.
# What is the total of all the name scores in the file?
# reading the contents of the file
file_contents = File.read('p022_names.txt')
# replacing the occuerance of \" to '' and spliting the result by ','
# to get an array of sorted words
words = file_contents.tr('\"', '').split(',').sort
# this method calculates the worth of a word based on the ASCII
# values of the characters
def word_worth(word)
word.chars.sum { |char| char.ord - 'A'.ord + 1 }
end
# this method takes the words as an input
# calls `word_worth` method on each word
# to that value multiply that with the index of the word in the array
# add the same to the result
def total_rank(words)
result = 0
words.each_with_index { |word, index| result += word_worth(word) * (index + 1) }
result
end
# outputs total rank on the console
puts total_rank(words)

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# frozen_string_literal: true
# The prime factors of 13195 are 5, 7, 13 and 29.
# What is the largest prime factor of the number 600851475143
# find all factors of the given number
def get_factors(number)
factors = []
(1..Math.sqrt(number).to_i).each do |num|
if (number % num).zero?
factors << num
factors << number / num
end
end
factors
end
# determine if a given number is a prime number
def prime?(number)
get_factors(number).length == 2
end
# find the largest prime
def largest_prime_factor(number)
prime_factors = get_factors(number).select { |factor| prime?(factor) }
prime_factors.max
end
puts largest_prime_factor(600_851_475_143)

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# The prime factors of 13195 are 5, 7, 13 and 29.
# What is the largest prime factor of the number 600851475143 ?
def solution(n)
prime = 1
i = 2
while i * i <= n
while (n % i).zero?
prime = i
n = n.fdiv i
end
i += 1
end
prime = n if n > 1
prime.to_i
end
puts solution(600_851_475_143)

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# 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.
answer = 0
999.downto(99) do |i|
999.downto(99) do |j|
t = (i * j)
answer = i * j if (t.to_s == t.to_s.reverse) && (t > answer) && (t > answer)
end
end
puts answer

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# frozen_string_literal: true
# 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.
class Integer
def parindrome?
self == reverse
end
# 123.reverse == 321
# 100.reverse == 1
def reverse
result = 0
n = self
loop do
result = result * 10 + n % 10
break if (n /= 10).zero?
end
result
end
end
factors = (100..999).to_a
products = factors.product(factors).map { _1 * _2 }
puts products.select(&:parindrome?).max

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# 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 by all of the numbers from 1 to 20?
# Euclid's algorithm for the greatest common divisor
def gcd(a, b)
b.zero? ? a : gcd(b, a % b)
end
# Calculate the LCM using GCD
def lcm(a, b)
(a * b) / gcd(a, b)
end
result = 1
20.times do |i|
result = lcm(result, i + 1)
end
p result