Skip to content

Instantly share code, notes, and snippets.

@tdg5
Created February 18, 2015 11:19
Show Gist options
  • Star 0 You must be signed in to star a gist
  • Fork 0 You must be signed in to fork a gist
  • Save tdg5/bb9f3c2dad1d8267d900 to your computer and use it in GitHub Desktop.
Save tdg5/bb9f3c2dad1d8267d900 to your computer and use it in GitHub Desktop.
Project Euler #08 with simpler alternative
# Project Euler #8 - Largest product in a series
# https://projecteuler.net/problem=8
#
# Find the thirteen adjacent digits in the 1000-digit number that have the
# greatest product. What is the value of this product?
def largest_product_in_series(series, adjacency_length = 13)
factors = []
largest_product = 0
current_product = 1
series.to_s.each_char do |new_factor|
# this assumes we can trust our input will only contain digits. if we can
# safely assume this, calling string#ord and then subtracting the ordinal
# of the string '0' will work faster than string#to_i.
new_factor = new_factor.to_i
if new_factor.zero?
# if our new_factor is zero, we know that the product of anything
# currently in our collection of factors will be zero. so, rather than
# work through that, just drop the current set of factors, drop the
# zero, and reset our current product.
factors.clear
current_product = 1
else
factors << new_factor
current_product *= new_factor
end
next if factors.length < adjacency_length
largest_product = current_product if current_product > largest_product
current_product /= factors.shift
end
largest_product
end
def simpler_largest_product_in_series(numbers)
digits = numbers.to_s.split('').map!(&:to_i)
largest_product_factors = digits.each_cons(13).max_by { |factors| factors.inject(:*) }
largest_product_factors.inject(:*)
end
require 'benchmark/ips'
NUMBER = 7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450
Benchmark.ips do |bm|
bm.report('probably_overly_complex') do
raise unless largest_product_in_series(NUMBER) == 23514624000
end
bm.report('simpler_largest_product_in_series') do
raise unless simpler_largest_product_in_series(NUMBER) == 23514624000
end
end
# When using String#split with empty string
#
# Calculating -------------------------------------
# probably_overly_complex 277.000 i/100ms
# simpler_largest_product_in_series 47.000 i/100ms
# -------------------------------------------------
# probably_overly_complex 2.806k (± 3.6%) i/s - 14.127k
# simpler_largest_product_in_series 470.173 (± 4.7%) i/s - 2.350k
# When using split without argument:
#
# pe_08.rb:37:in `simpler_largest_product_in_series': undefined method `inject' for nil:NilClass (NoMethodError)
# from pe_08.rb:49:in `block (2 levels) in <main>'
# from /usr/local/rvm/gems/ruby-2.2.0/gems/benchmark-ips-2.1.1/lib/benchmark/ips/job.rb:72:in `call'
# from /usr/local/rvm/gems/ruby-2.2.0/gems/benchmark-ips-2.1.1/lib/benchmark/ips/job.rb:72:in `call_times'
# from /usr/local/rvm/gems/ruby-2.2.0/gems/benchmark-ips-2.1.1/lib/benchmark/ips/job.rb:221:in `block in run_warmup'
# from /usr/local/rvm/gems/ruby-2.2.0/gems/benchmark-ips-2.1.1/lib/benchmark/ips/job.rb:206:in `each'
# from /usr/local/rvm/gems/ruby-2.2.0/gems/benchmark-ips-2.1.1/lib/benchmark/ips/job.rb:206:in `run_warmup'
# from /usr/local/rvm/gems/ruby-2.2.0/gems/benchmark-ips-2.1.1/lib/benchmark/ips.rb:49:in `ips'
# from pe_08.rb:43:in `<main>'
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment