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ch-1.awk
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ch-1.awk
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#!/usr/bin/awk
#
# See ../README.md
#
#
# Run as: awk -f ch-1.awk < input-file
#
#
# Load the list of all known rare numbers. Note that we're using
# strings instead of numbers, since the largest number exceed
# the largest integer AWK stores losslessly.
#
BEGIN {
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 numbers of the appropriate length.
#
{
if ($1 in rare_numbers) {
printf "%s", rare_numbers [$1]
}
}