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@ -50,7 +50,6 @@ Algorithms in this repo should not be how-to examples for existing Ruby packages
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#### Other Requirements for Submissions
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#### Other Requirements for Submissions
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- 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.
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- Strictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts.
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- Strictly use snake_case (underscore_separated) in your file_name, as it will be easy to parse in future using scripts.
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- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure.
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- Please avoid creating new directories if at all possible. Try to fit your work into the existing directory structure.
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- If possible, follow the standard *within* the folder you are submitting to.
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- If possible, follow the standard *within* the folder you are submitting to.
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20
DIRECTORY.md
20
DIRECTORY.md
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@ -103,26 +103,6 @@
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## Other
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## Other
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* [Fisher Yates](https://github.com/TheAlgorithms/Ruby/blob/master/other/fisher_yates.rb)
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* [Fisher Yates](https://github.com/TheAlgorithms/Ruby/blob/master/other/fisher_yates.rb)
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## Project Euler
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* Problem 1
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_1/sol1.rb)
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* Problem 2
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_2/sol1.rb)
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* Problem 20
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_20/sol1.rb)
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* Problem 21
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_21/sol1.rb)
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* Problem 22
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_22/sol1.rb)
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* Problem 3
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_3/sol1.rb)
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* [Sol2](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_3/sol2.rb)
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* Problem 4
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_4/sol1.rb)
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* [Sol2](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_4/sol2.rb)
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* Problem 5
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* [Sol1](https://github.com/TheAlgorithms/Ruby/blob/master/project_euler/problem_5/sol1.rb)
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## Searches
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## Searches
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* [Binary Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/binary_search.rb)
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* [Binary Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/binary_search.rb)
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* [Depth First Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/depth_first_search.rb)
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* [Depth First Search](https://github.com/TheAlgorithms/Ruby/blob/master/searches/depth_first_search.rb)
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@ -1,20 +0,0 @@
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# Project Euler
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Problems are taken from https://projecteuler.net/, the Project Euler. [Problems are licensed under CC BY-NC-SA 4.0](https://projecteuler.net/copyright).
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Project Euler is a series of challenging mathematical/computer programming problems that require more than just mathematical
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insights to solve. Project Euler is ideal for mathematicians who are learning to code.
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## Solution Guidelines
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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.
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### Coding Style
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* Please maintain consistency in project directory and solution file names. Keep the following points in mind:
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* Create a new directory only for the problems which do not exist yet.
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* 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.
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* 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:
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* 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)`.
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* 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,
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# we get 3, 5, 6 and 9. The sum of these multiples is 23.
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# Find the sum of all the multiples of 3 or 5 below 1000.
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def divisible_by_three_or_five?(number)
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(number % 3).zero? || (number % 5).zero?
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end
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sum = 0
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(1...1000).each do |i|
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sum += i if divisible_by_three_or_five?(i)
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end
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p sum
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# Each new term in the Fibonacci sequence is generated by adding the previous two terms.
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# By starting with 1 and 2, the first 10 terms will be:
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# 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
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# By considering the terms in the Fibonacci sequence whose values do not exceed four million,
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# find the sum of the even-valued terms.
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even_fib_sum = 0
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fib_first = 1
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fib_second = 2
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while fib_second < 4_000_000
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even_fib_sum += fib_second if fib_second.even?
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fib_second += fib_first
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fib_first = fib_second - fib_first
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end
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p even_fib_sum
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# frozen_string_literal: true
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# n! means n x (n - 1) x ... x 3 x 2 x 1
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# For example, 10! = 10 x 9 x ... x 3 x 2 x 1 = 3628800,
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# and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.
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#
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# Find the sum of the digits in the number 100!
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# method to calculate factorial of a number
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def factorial(number)
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number.downto(1).reduce(:*)
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end
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# fetch digits of factorial of `number` and find
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# sum of all those digits, and prints the result on the console
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number = 100
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puts factorial(number).digits.sum
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# frozen_string_literal: true
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# Let d(n) be defined as the sum of proper divisors of n
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# (numbers less than n which divide evenly into n).
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# If d(a) = b and d(b) = a, where a & b, then a and b are an amicable pair.
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# and each of a and b are called amicable numbers.
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#
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# For example,
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#
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# The proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110;
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# therefore d(220) = 284.
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#
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# The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284) = 220.
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#
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# Evaluate the sum of all the amicable numbers under 10000.
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# get list of all divisors of `number`
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def get_divisors(number)
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divisors = []
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(1..(Math.sqrt(number).to_i)).each do |num|
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if (number % num).zero?
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divisors << num
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divisors << number / num
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end
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end
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divisors
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end
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# get list of all proper divisors of `number` i.e. removing `number` from
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# the list of divisors
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def get_proper_divisors(number)
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divisors = get_divisors(number)
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divisors.delete(number)
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divisors
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end
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# implementation of a method `d` as mentioned in the question
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# i.e. finding sum of all proper divisors of `number`
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def d(number)
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get_proper_divisors(number).sum
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end
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# given an upper `limit`, this method finds all amicable numbers
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# under this `limit`
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def find_amicable_numbers(limit)
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result = []
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(1...limit).each do |a|
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b = d(a)
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res = d(b)
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result.push(a) if (a == res) && (a != b)
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end
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result
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end
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# calling `find_amicable_numbers` method and finding sum of all such numbers
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# below 10000, and printing the result on the console
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puts find_amicable_numbers(10_000).sum
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File diff suppressed because one or more lines are too long
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# frozen_string_literal: true
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# Problem 22
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# Using names.txt (right click and 'Save Link/Target As...'),
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# a 46K text file containing over five-thousand first names,
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# begin by sorting it into alphabetical order.
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# Then working out the alphabetical value for each name,
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# multiply this value by its alphabetical position in the list to obtain a name score.
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# For example, when the list is sorted into alphabetical order,
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# COLIN, which is worth 3 + 15 + 12 + 9 + 14 = 53,
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# is the 938th name in the list. So, COLIN would obtain a score of 938 * 53 = 49714.
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# What is the total of all the name scores in the file?
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# reading the contents of the file
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file_contents = File.read('p022_names.txt')
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# replacing the occuerance of \" to '' and spliting the result by ','
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# to get an array of sorted words
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words = file_contents.tr('\"', '').split(',').sort
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# this method calculates the worth of a word based on the ASCII
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# values of the characters
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def word_worth(word)
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word.chars.sum { |char| char.ord - 'A'.ord + 1 }
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end
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# this method takes the words as an input
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# calls `word_worth` method on each word
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# to that value multiply that with the index of the word in the array
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# add the same to the result
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def total_rank(words)
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result = 0
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words.each_with_index { |word, index| result += word_worth(word) * (index + 1) }
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result
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end
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# outputs total rank on the console
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puts total_rank(words)
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# frozen_string_literal: true
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# The prime factors of 13195 are 5, 7, 13 and 29.
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# What is the largest prime factor of the number 600851475143
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# find all factors of the given number
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def get_factors(number)
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factors = []
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(1..Math.sqrt(number).to_i).each do |num|
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if (number % num).zero?
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factors << num
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factors << number / num
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end
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end
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factors
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end
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# determine if a given number is a prime number
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def prime?(number)
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get_factors(number).length == 2
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end
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# find the largest prime
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def largest_prime_factor(number)
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prime_factors = get_factors(number).select { |factor| prime?(factor) }
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prime_factors.max
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end
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puts largest_prime_factor(600_851_475_143)
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# The prime factors of 13195 are 5, 7, 13 and 29.
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# What is the largest prime factor of the number 600851475143 ?
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def solution(n)
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prime = 1
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i = 2
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while i * i <= n
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while (n % i).zero?
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prime = i
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n = n.fdiv i
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end
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i += 1
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end
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prime = n if n > 1
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prime.to_i
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end
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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.
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# Find the largest palindrome made from the product of two 3-digit numbers.
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answer = 0
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999.downto(99) do |i|
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999.downto(99) do |j|
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t = (i * j)
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answer = i * j if (t.to_s == t.to_s.reverse) && (t > answer) && (t > answer)
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end
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end
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puts answer
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# frozen_string_literal: true
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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.
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# Find the largest palindrome made from the product of two 3-digit numbers.
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class Integer
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def parindrome?
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self == reverse
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end
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# 123.reverse == 321
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# 100.reverse == 1
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def reverse
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result = 0
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n = self
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loop do
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result = result * 10 + n % 10
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break if (n /= 10).zero?
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end
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result
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end
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end
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factors = (100..999).to_a
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products = factors.product(factors).map { _1 * _2 }
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puts products.select(&:parindrome?).max
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# 2520 is the smallest number that can be divided
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# by each of the numbers from 1 to 10 without any remainder.
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# What is the smallest positive number that is evenly
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# divisible by all of the numbers from 1 to 20?
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# Euclid's algorithm for the greatest common divisor
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def gcd(a, b)
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b.zero? ? a : gcd(b, a % b)
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end
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# Calculate the LCM using GCD
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def lcm(a, b)
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(a * b) / gcd(a, b)
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end
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result = 1
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20.times do |i|
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result = lcm(result, i + 1)
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end
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p result
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