Determining if a prefix exists in a set - ruby

Question

Given a set of strings, say:
"Alice"
"Bob"
"C"
"Ca"
"Car"
"Carol"
"Caroling"
"Carousel"
and given a single string, say:
"Carolers"
I would like a function that returns the smallest prefix not already inside the array.
For the above example, the function should return: "Caro". (A subsequent call would return "Carole")
I am very new to Ruby, and although I could probably hack out something ugly (using my C/C++/Objective-C brain), I would like to learn how to properly (elegantly?) code this up.

Answer 1

There's a little known magical module in Ruby called Abbrev.
require 'abbrev'
abbreviations = Abbrev::abbrev([
"Alice",
"Bob",
"C",
"Ca",
"Car",
"Carol",
"Caroling",
"Carousel"
])
carolers = Abbrev::abbrev(%w[Carolers])
(carolers.keys - abbreviations.keys).sort.first # => "Caro"
Above I took the first element but this shows what else would be available.
pp (carolers.keys - abbreviations.keys).sort
# >> ["Caro", "Carole", "Caroler", "Carolers"]
Wrap all the above in a function, compute the resulting missing elements, and then iterate over them yielding them to a block, or use an enumerator to return them one-by-one.
This is what is generated for a single word. For an array it is more complex.
require 'pp'
pp Abbrev::abbrev(['cat'])
# >> {"ca"=>"cat", "c"=>"cat", "cat"=>"cat"}
pp Abbrev::abbrev(['cat', 'car', 'cattle', 'carrier'])
# >> {"cattl"=>"cattle",
# >> "catt"=>"cattle",
# >> "cat"=>"cat",
# >> "carrie"=>"carrier",
# >> "carri"=>"carrier",
# >> "carr"=>"carrier",
# >> "car"=>"car",
# >> "cattle"=>"cattle",
# >> "carrier"=>"carrier"}

Answer 2

Your question still doesn't match what you are expecting as a result. It seems that you need prefixes, not the substrings (as "a" would be the shortest substring not already in the array). For searching the prefix, this should suffice:
array = [
"Alice",
"Bob",
"C",
"Ca",
"Car",
"Carol",
"Caroling",
"Carousel",
]
str = 'Carolers'
(0..str.length).map{|i|
str[0..i]
}.find{|s| !array.member?(s)}

Answer 3

I am not a Ruby expert, but I think you may want to approach this problem by converting your set into a trie. Once you have the trie constructed, your problem can be solved simply by walking down from the root of the trie, following all of the edges for the letters in the word, until you either find a node that is not marked as a word or walk off the trie. In either case, you've found a node that isn't part of any word, and you have the shortest prefix of your word in question that doesn't already exist inside of the set. Moreover, this would let you run any number of prefix checks quickly, since after you've built up the trie the algorithm takes time at most linear in the length of the string.
Hope this helps!

Answer 4

I'm not really sure what you're asking for other than an example of some Ruby code to find common prefixes. I'll assume you want to find the smallest string which is a prefix of the most number of strings in the given set. Here's an example implementation:
class PrefixFinder
def initialize(words)
#words = Hash[*words.map{|x|[x,x]}.flatten]
end
def next_prefix
max=0; biggest=nil
#words.keys.sort.each do |word|
0.upto(word.size-1) do |len|
substr=word[0..len]; regex=Regexp.new("^" + substr)
next if #words[substr]
count = #words.keys.find_all {|x| x=~regex}.size
max, biggest = [count, substr] if count > max
#puts "OK: s=#{substr}, biggest=#{biggest.inspect}"
end
end
#words[biggest] = biggest if biggest
biggest
end
end
pf = PrefixFinder.new(%w(C Ca Car Carol Caroled Carolers))
pf.next_prefix # => "Caro"
pf.next_prefix # => "Carole"
pf.next_prefix # => "Caroler"
pf.next_prefix # => nil
No comment on the performance (or correctness) of this code but it does show some Ruby idioms (instance variables, iteration, hashing, etc).

Answer 5

=> inn = ["Alice","Bob","C","Ca","Car","Carol","Caroling","Carousel"]
=> y = Array.new
=> str="Carolers"
Split the given string to an array
=> x=str.split('')
# ["C","a","r","o","l","e","r","s"]
Form all the combination
=> x.each_index {|i| y << x.take(i+1)}
# [["c"], ["c", "a"], ["c", "a", "r"], ["c", "a", "r", "o"], ["c", "a", "r", "o", "l"], ["c", "a", "r", "o", "l", "e"], ["c", "a", "r", "o", "l", "e", "r"], ["c", "a", "r", "o", "l", "e", "r", "s"]]
Using Join to concatenate the
=> y = y.map {|s| s.join }
# ["c", "ca", "car", "caro", "carol", "carole", "caroler", "carolers"]
Select the first item from the y thats not available in the input Array
=> y.select {|item| !inn.include? item}.first
You will get "caro"
Putting together all
def FindFirstMissingItem(srcArray,strtocheck)
y=Array.new
x=strtocheck.split('')
x.each_index {|i| y << x.take(i+1)}
y=y.map {|s| s.join}
y.select {|item| !srcArray.include? item}.first
end
And call
=> inn = ["Alice","Bob","C","Ca","Car","Carol","Caroling","Carousel"]
=> str="Carolers"
FindFirstMissingItem inn,str

Answer 6

Very simple version (but not very Rubyish):
str = 'Carolers'
ar = %w(Alice Bob C Ca Car Carol Caroling Carousel)
substr = str[0, n=1]
substr = str[0, n+=1] while ar.include? substr
puts substr