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#!/opt/local/bin/lua
--
-- See ../README.md
--
--
-- Run as: lua ch-1.lua < input-file
--
--
-- Load the known rare numbers into an array, bucketed by length.
--
rare_numbers = {}
rare_numbers [ 2] = "65\n"
rare_numbers [ 6] = "621770\n"
rare_numbers [ 9] = "281089082\n"
rare_numbers [10] = "2022652202\n" ..
"2042832002\n"
rare_numbers [12] = "868591084757\n" ..
"872546974178\n" ..
"872568754178\n"
rare_numbers [13] = "6979302951885\n"
rare_numbers [14] = "20313693904202\n" ..
"20313839704202\n" ..
"20331657922202\n" ..
"20331875722202\n" ..
"20333875702202\n" ..
"40313893704200\n" ..
"40351893720200\n"
rare_numbers [15] = "200142385731002\n" ..
"204238494066002\n" ..
"221462345754122\n" ..
"244062891224042\n" ..
"245518996076442\n" ..
"248359494187442\n" ..
"403058392434500\n" ..
"441054594034340\n" ..
"816984566129618\n"
rare_numbers [16] = "2078311262161202\n" ..
"2133786945766212\n" ..
"2135568943984212\n" ..
"2135764587964212\n" ..
"2135786765764212\n" ..
"4135786945764210\n" ..
"6157577986646405\n" ..
"6889765708183410\n" ..
"8052956026592517\n" ..
"8052956206592517\n" ..
"8191154686620818\n" ..
"8191156864620818\n" ..
"8191376864400818\n" ..
"8650327689541457\n" ..
"8650349867341457\n"
rare_numbers [17] = "22542040692914522\n" ..
"67725910561765640\n" ..
"86965750494756968\n"
rare_numbers [18] = "225342456863243522\n" ..
"225342458663243522\n" ..
"225342478643243522\n" ..
"284684666566486482\n" ..
"284684868364486482\n" ..
"297128548234950692\n" ..
"297128722852950692\n" ..
"297148324656930692\n" ..
"297148546434930692\n" ..
"497168548234910690\n" ..
"619431353040136925\n" ..
"619631153042134925\n" ..
"631688638047992345\n" ..
"633288858025996145\n" ..
"633488632647994145\n" ..
"653488856225994125\n" ..
"811865096390477018\n" ..
"865721270017296468\n" ..
"871975098681469178\n" ..
"898907259301737498\n"
rare_numbers [19] = "2042401829204402402\n" ..
"2060303819041450202\n" ..
"2420424089100600242\n" ..
"2551755006254571552\n" ..
"2702373360882732072\n" ..
"2825378427312735282\n" ..
"6531727101458000045\n" ..
"6988066446726832640\n" ..
"8066308349502036608\n" ..
"8197906905009010818\n" ..
"8200756128308135597\n" ..
"8320411466598809138\n"
rare_numbers [20] = "22134434735752443122\n" ..
"22134434753752443122\n" ..
"22134436953532443122\n" ..
"22136414517954423122\n" ..
"22136414971554423122\n" ..
"22136456771730423122\n" ..
"61952807156239928885\n" ..
"61999171315484316965\n" ..
"65459144877856561700\n"
rare_numbers [21] = "208393425242000083802\n" ..
"219518549668074815912\n" ..
"257661195832219326752\n" ..
"286694688797362186682\n" ..
"837982875780054779738\n"
rare_numbers [22] = "2414924301133245383042\n" ..
"2414924323311045383042\n" ..
"2414946523311023183042\n" ..
"2576494891793995836752\n" ..
"2576494893971995836752\n" ..
"2620937863931054483162\n" ..
"2620937863931054483162\n" ..
"2620955641393276283162\n" ..
"2622935621573476481162\n" ..
"2622935643751276481162\n" ..
"2622937641933274481162\n" ..
"2622955841933256281162\n" ..
"2622957843751254281162\n" ..
"2727651947516658327272\n" ..
"2747736918335953517072\n" ..
"2788047668617596408872\n" ..
"2788047848617776408872\n" ..
"2788047868437576408872\n" ..
"2788047888617376408872\n" ..
"2939501759705522349392\n" ..
"2939503375709360349392\n" ..
"2939503537707740349392\n" ..
"2939521359525562149392\n" ..
"2939521557527542149392\n" ..
"2939523577527340149392\n" ..
"2939523779525320149392\n" ..
"2959503377707360349192\n" ..
"6344828989519887483525\n" ..
"8045841652464561594308\n" ..
"8045841654642561594308\n" ..
"8655059576513659814468\n" ..
"8655059772157639814468\n" ..
"8655079374155679614468\n" ..
"8655079574515659614468\n" ..
"8888070771864228883913\n"
--
-- Print the wanted rare numbers, if they exist.
--
for length in io . lines () do
length = tonumber (length)
if rare_numbers [length]
then io . write (rare_numbers [length])
end
end
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