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#!/opt/local/bin/lua
--
-- See ../README.md
--
--
-- Run as: lua ch-2.lua < input-file
--
function next_number (prev_num)
--
-- Get the trailing 3s (tail), and the number before (num)
-- and anything before it (prefix)
--
local _, _, prefix, num, tail =
("0" .. prev_num) : find ("(.*)([012])(3*)$")
--
-- Combine the prefix, num (with 1 added) and the tail (with
-- its 3s replaced by 1s), then in the result, replace each '11'
-- with '12', and remove the leading 0 (if any).
--
return (prefix .. tostring (tonumber (num) + 1)
.. tail : gsub ("3", "1")) : gsub ("11", "12")
: gsub ("^0", "")
end
for num in io . lines () do
local number = "0"
for _ = 1, tonumber (num) do
number = next_number (number)
end
print (number)
end
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