Created
October 13, 2017 20:00
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module Fouriest | |
def to_base(x) | |
raise ArgumentError, "the base must be a positive > 1 number" if x < 2 || x != (x.to_i) | |
num = self | |
new_string = "" | |
loop do | |
new_string += (num % x).represent_number | |
num = num / x | |
break if num == 0 | |
end | |
new_string.reverse! | |
end | |
def represent_number | |
self < 10 ? self.to_s : 'x' | |
end | |
def fouriest | |
fours = -1 | |
fouriest = self.to_s | |
base = 2 | |
best_base = 0 | |
loop do | |
new_num = self.to_base(base) | |
new_fours = new_num.count("4") | |
if new_fours > fours | |
fouriest = new_num | |
fours = new_fours | |
best_base = base | |
end | |
break if new_num == 'x' || new_num.length <= fours || (self<10 && base >=10) | |
base+=1 | |
end | |
"#{self} is the fouriest (#{fouriest}) on base #{best_base}" | |
end | |
end | |
Bignum.include(Fouriest) | |
Fixnum.include(Fouriest) | |
10000.times do |i| | |
puts i.fouriest | |
end |
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