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August 29, 2015 13:57
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recursive version of beautiful string finder
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#s = "ABCDEFABDC".split("") | |
s = "nlhthgrfdnnlprjtecpdrthigjoqdejsfkasoctjijaoebqlrgaiakfsbljmpibkidjsrtkgrdnqsknbarpabgokbsrfhmeklrle".split("") | |
ans = 'tsocrpkijgdqnbafhmle' | |
#s = "CABDBACBAB".split("") | |
#ans = "DCBA" | |
h = {}.tap do |h| | |
s.each_with_index do |c,i| | |
h[c] ||= [] | |
h[c] << i | |
end | |
end | |
def find_mbs(h, left_bound=-1) | |
return "" unless h.any? | |
right_bound = h.map do |char, positions| | |
positions.select{|p| p >= left_bound}.max | |
end.min | |
candidates = left_bound.upto(right_bound).map(&:to_i) | |
next_char = h.select do |char, positions| | |
(positions & candidates).any? | |
end.map(&:first).flatten.max | |
left_bound = h[next_char].select{|i|i> left_bound && i<=right_bound}.min | |
h.delete(next_char) | |
return "#{next_char}#{find_mbs(h,left_bound)}" | |
end | |
most_beautiful_string = find_mbs(h) | |
puts most_beautiful_string | |
puts most_beautiful_string == ans |
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