2021 day 8.

This commit is contained in:
Mikaël Capelle 2023-12-10 20:23:22 +01:00
parent 9141029557
commit 1fc3c1632d
3 changed files with 288 additions and 4 deletions

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@ -1,13 +1,87 @@
import itertools
import os
import sys
from collections import defaultdict
from dataclasses import dataclass
VERBOSE = os.getenv("AOC_VERBOSE") == "True"
digits = {
"abcefg": 0,
"cf": 1,
"acdeg": 2,
"acdfg": 3,
"bcdf": 4,
"abdfg": 5,
"abdefg": 6,
"acf": 7,
"abcdefg": 8,
"abcdfg": 9,
}
lines = sys.stdin.read().splitlines()
# part 1
answer_1 = ...
lengths = {len(k) for k, v in digits.items() if v in (1, 4, 7, 8)}
answer_1 = sum(
len(p) in lengths for line in lines for p in line.split("|")[1].strip().split()
)
print(f"answer 1 is {answer_1}")
# part 2
answer_2 = ...
values: list[int] = []
for line in lines:
parts = line.split("|")
broken_digits = sorted(parts[0].strip().split(), key=len)
per_length = {
k: list(v)
for k, v in itertools.groupby(sorted(broken_digits, key=len), key=len)
}
# a can be found immediately
a = next(u for u in per_length[3][0] if u not in per_length[2][0])
# c and f have only two possible values corresponding to the single entry of
# length 2
cf = list(per_length[2][0])
# the only digit of length 4 contains bcdf, so we can deduce bd by removing cf
bd = [u for u in per_length[4][0] if u not in cf]
# the 3 digits of length 5 have a, d and g in common
adg = [u for u in per_length[5][0] if all(u in pe for pe in per_length[5][1:])]
# we can remove a
dg = [u for u in adg if u != a]
# we can deduce d and g
d = next(u for u in dg if u in bd)
g = next(u for u in dg if u != d)
# then b
b = next(u for u in bd if u != d)
# f is in the three 6-length digits, while c is only in 2
f = next(u for u in cf if all(u in p for p in per_length[6]))
# c is not f
c = next(u for u in cf if u != f)
# e is the last one
e = next(u for u in "abcdefg" if u not in {a, b, c, d, f, g})
mapping = dict(zip((a, b, c, d, e, f, g), "abcdefg"))
value = 0
for number in parts[1].strip().split():
digit = "".join(sorted(mapping[c] for c in number))
value = 10 * value + digits[digit]
if VERBOSE:
print(value)
values.append(value)
answer_2 = sum(values)
print(f"answer 2 is {answer_2}")

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@ -0,0 +1,200 @@
caebgd dagc eabgd aebfgc fbdacge edg dg dbgcef eabfd cgeba | gbcdae dagc acgd gd
fgcbed bcedga cafb acgfd cgabd cgf dfaeg dfbcga bceagdf fc | cf gdfea fdagbc dfacg
gaed egcbdf edagcf fcaegdb facge afg ga ecbaf fgced fgdabc | cgeaf gfa ga efbac
cbdeg cbgeadf cgdfa cgdbae decgf efg cebf egbfdc fgbead ef | fge gfe dcegabf gdcfe
bacd cgdbe ecgbf cd cde degba cfaegd gfadbe gbdace baegcdf | cfgdea dce bacd cabd
gdbafc cedagb cebga bc edcb gbdefa cebgdaf agfce acb bgdae | afgedb bdce dabeg dbec
fadce bad edafbc cgbfa edcagf dacbge dfabc bgecadf edbf bd | efbd baegdc dab db
fcaed eb afcdge cfbae gacbf edab becgdaf gcedbf efb bdecaf | be gadbfec eb cedfa
cdgbea ebcga feacb age ge afcdgb faegdc acbgd agcfdbe bdeg | gedcab dcagb gea edbg
eda bgeaf eabdcg ad ebgdacf egdfac ecdbfg dcfge acdf dagfe | ad ad da beagf
cegfa bf ecfabd fgcb egcafd ebfga bgade afb eagbfc dgfbeca | bcegaf fcgb adgbe bcgf
fegacb dbagc gdcae fbcd bc dfbgca gdbfa cgb adefbg ecdabgf | cgb fbgdac cabfdg acdeg
gfbead cfbgea cfeb bf agcfb baf cdgaf begacd aebcg acgdfbe | fab gdcbeaf afcbeg bfa
df acgbf bedag gecbdf dgefacb fdagb gfadeb fbd abgecd efad | bcafg cafdgeb bdf fd
defbc dg gadc caebdfg bceagf gecba adegbf ebagdc gecdb dbg | bfgdea aefbdcg dgb dbceg
cegbd cafegb gedcab gcebdf ecdf dfbag fbgde ef efg fbaecgd | fedc ef fdec ebagcf
dbfag gabdcf dfgbeac efdcag gbcfe ed efbadg efd bade efbgd | bagfd def ed efgbda
gafbcde gfbdc fc geafbc cgf ecdfgb cfde dbgac gdfeb gedabf | fced gfc cdbag gfc
ef adbefg efdbc cfabd fcea fbe cebdg cbfgda abecfd dagbefc | degcbaf ef fecdagb dafebc
acdbf abefgd ea dgcfe acedgf agec faedcgb afe gcbdfe fecad | geca gebadfc fgeabcd efdca
agfecd acbg aefdb bg gdcfa gdafb cebdagf gfb dgcafb cgbefd | fbg dgafc fbg bafdg
db ebafd dcafeg bcedag eafgb bcdf ecafd adb eabdfc cdbgaef | bgafe dfbea bd daefc
egfacd cegfa afbdg facgbe de dfegbc cdae edafg egd ecdfbga | edg defcga aegfc de
abdgfce begca egcbf ag gdafbc afge fbdcge daecb cefabg cag | gbfced ga cgedbfa ag
faed abcedf eafdbcg aebcf cbagf cgebda ef fbe cbgfde bdcae | afbcg dafe fbe fbe
bcea cfdae dcafeb ab cfbdg dgeabf afbcd baf fdacge gacfdbe | baf decgfab fab abce
dbeacg agefcd agbefdc cagfe ae aeg aedf gdafc bfceg bacdfg | gea begcf fdcage ea
cagdeb ca bcfgad badgef cbaf cgbefad adc fcdga gdfec bfagd | aecbdfg afcb ac bcfa
bc begda gebfcad bfcd dbeac abdfce dcafe cbe cafdge bgcfae | bcdf ebdga gbfecda bce
dfacgb edbcg gfedab egfab bac begac fcea ca dgfcabe ebacfg | bac cba bgcde ca
fgacbe dgeba agebf afb fbcaed eafcgd fb dfegacb bgfc cfgea | cfegabd ceafg bf cbadef
fgcab ceabdgf fdabc da gdabcf gdcaeb ecfbag fadg cdbef acd | fagd gfad fcbgae adgf
afbgecd cedga cdfb ebgdcf gbfade bcfeag cedgb efgbc bd gdb | fedbcg cefdbg edcag dgb
bfcga gfadb egcadf cbeagfd bdfeag bcfegd bd edgaf dbae dfb | bfgadec dfb bfd cbfga
cbegad bacde eafdb bcgea cad cfgadb cd gced fgedcab bfecag | fdgbeac eacbdfg acdbe abdfe
cebaf dcegbaf edfgab cabgfe bafeg cgaf aegbdc cea febdc ca | ac ac ca cfga
db bfd ecdfg febdc debfac egdfab cadb efgacb defacgb bcfae | edbcagf bd debfac fdb
egfdcab dcgbe dacgef fbad bafcge ab degfa ebfgad gbdea gab | ba fabgecd ab agedbf
afbc efadc efcgabd dfbeac ac bdgeac cfgbed afgde cfdbe dac | ac fegcdb afedc facb
acbde cgfdea cdbge cfbdea abd ab gacbdfe fdcgab acefd fabe | fbae dagefbc aefbcgd dba
cedbfga dabecf afbge fab ecbfdg gedfba fbgde cbeag dfag af | beafg acbfed fa gdaf
ecbgfa eab agdfebc adbg gdfbe dfgecb dabfe afced bagfde ab | bdag gdba dfbge gbda
egfdac eadbg gfdab bcdega ae egabdfc cdfbeg dae gcbed bace | dgbefc gadefc ea eacb
bgacf dgfcea cbfgeda fdab fa fag fbgadc gcbef cdabeg bcgda | gfa fag afg aedcbg
egafdcb dcega dgfbc egdbaf ebdcg dbe eb cabdeg ceab fcdaeg | bed edcfag gadefc fcdbg
dgcab afgb bcg dcaeb dbgcaf bg ecfdgba gafced fbcdeg cfdga | cefgdb gacfbed afdgc gbcdfa
cgeda bafcg cgdfa dgfcae bceagd bdgface adf fd feabcd efdg | edfg gdeca cgbdfae dcfgaeb
dbefga eadcgb gbaedcf daebc geadc bd bcgd bafec bad gaecfd | edagc abcef fceba aecdg
bcegf cfbega bgedca befca gabecdf bgc gfca gebdf cg dcfabe | efdbg bcg acgf fecbadg
gfcdeba dbaec ecgaf gde agedfb bcafeg gdfc dgeac dg cadefg | egfca fegac edg daebgf
bea geadbf be efcad afecgb adfcbg cbefa fcabg gecb egbdfca | eab cbfae gbcafed cbeadgf
adgfec bgea fbcdg be fdceba bgedc edb acged bfdceag dgbcea | decfba efcdba gbdface aedgfc
ebgfc dcb dc ecfd fecbgd debcg bgfacd defcgab bacgef dgabe | dc adfbceg befgc cfed
cbgdea gafc fcegd eagdfb bfdce egc efdag gdafec cg gfbceda | cg ceg dgfea cg
fgdab egacbfd decgaf eaf edcfgb ea efdcb aefcbd eadbf abec | fdbea ea acefdb ea
bdegcf aegfb eacd ec acfgd gfdeca fce adcfbg begafdc gcaef | acde gbefcd adce fec
cdgfbe fdacg cegdf cebd cbeafdg efgcb aegcbf bgfead efd de | fcegdba cbde gbcadfe fed
adfge efgbda gacfde gecfba ce feacd adbfc cgde fce dfabgce | fgcaed cgde gfaced fdeac
ga cgaefdb dcebfg fbegac gbda acdef cdgeb gbaedc ecadg cag | bagd bgfdce cbgde dbfaecg
gec efdabg bfgdcae dfebc agbc aefbg afgbce agecfd cg cegbf | acfdgbe cbdef abcg afbedcg
ebcgaf cagdf afbdeg fbcda dcfbeag beacfd befca bfd bd cebd | dfb dbf feacbg gfdaecb
ecgdfa afe gbafd bfgdac ae decbf dgebaf afbed abeg cedabfg | egab cgeabfd eadgbfc ebag
agcfdeb fdabe gfcaeb edf cegfad badce gdbf fd gbafe fedbga | efd bfgd daecgfb cabefg
bcdef gefcadb fdeba fdega ba bgea bgdafc efbagd dfcgae dba | ba ba edafb ebga
acgbe age ga agebfd afcebg bdegc acfeb fgca cefdba cabegdf | ag eag afgc ag
bacfd feb gfea dabge fegadbc adegbf fe aefdb cbdgae gdcbfe | ef ebdfcg fgdeba efb
efgca fadbc daecgf ecbfgd gd daeg dfcagbe agfdc bafecg dgf | fgd cfeagb afegc dfg
cgeabd cdagf dfab afcbgd dceafbg adgbc cfd df efdgcb afgec | cdf cfabdg abfd df
bgacef acegf adgce cgbfaed dgbec gcdefa afed ad badcgf cda | ad egadc degbfac efcagd
de ceafb bfedacg decf cbeda aed gdefab dfacbe gadcb gecbfa | acefb eda edcf ead
fdebga dgbcef baf af caefb debcf baecg cgdfaeb dafc facdbe | af fdac fgceadb efcba
dgbfac cabdefg ag gda dgcbf gafdb dfaeb bedgcf cafg adcebg | fgadb egfbcad fgca gfbda
egcbfda fagbde cb egbcf fbc dcgb cdbafe fgdbe dcefbg ceafg | bfc gfcebda bcf bcf
cfeba ag fecag feacgb eag defgc egabfd gbcafed agcb bdacef | gcfabe efcadgb ga gabc
fgeadb gbfdace feacb ed bacfde fdbcg edca ecbdf cebgfa def | ebcfa acebdgf efd aced
fcgad aegfdb ea bdfcea dea egfbd aebg cgbedaf begfdc fedag | geba egbfd fdagbe dcbaef
faebdg efbca fadce bgefa fcbgae dbecfag bgcf cb ecb dgaecb | cadebgf ecb gcfb cb
ecdf begca cbagfd ed edb dfebacg cdgfb bcedg cgbfed edagbf | de dfce gedcbf de
badfec dfgcab gdbeafc cbf defc acefb ebdgaf cf abedf egacb | cdfe cdef fedc fc
afcgbd fdcg fbc bgdac acbgef cf fcabd gdebca fbaed fcdageb | cf fbc cf gfcd
cefba dbef fe gdafec dbcae fdebac bfadcge fec gceabd abcfg | gacedb debac bcaed gacfdbe
bagfe db bdf gafdc bfgda cgefbd cafedg fcgabd fdeacbg dacb | gabdf cdgbfa bd egfbdc
dbcaef bacfd begfcd gbafc cedbf da eabd gecdfa cda fbecgda | aedb cda efcdb adcfbe
faebgd afcbdg gf dbacfeg gdf degfa dcfea gebda dgaceb gfbe | bgfe decaf gf edgfa
fg aecgbfd ebcfa efabg adgeb fge egcbdf bedagf dbcaeg fagd | fg dfga gfda gafd
cedgabf dcba ab cedaf bae cabefd fgaced fdaeb fabgec dfgeb | bedfac ab fecbga debfcag
dec ce fcabde daefb fgabde aefc bdagc dcgfeb efcdabg caedb | gadbfec ecfa baefgd ce
egcaf ed adbe afbcd dgfecba acbdgf edf decfab edcaf egbcfd | dgecfab eabdfcg fbdaec abed
fea febcg eacgf ecda cdgfa agcedfb edgfba ae agcfde cbadgf | fcegb fgbaced dcafg caed
gebfd ec dec eabc bafcged debgc fecgda fdgabc dcgabe cgadb | adegbcf gbacfed bfgcdea ce
egfdab cad bcgad cd bcfga gfdbcea dgcaeb cedg defbac beagd | cadbfe decg cd cadfeb
cge gadebfc fbcgae gc dagec agdeb dcefga cgdf afbecd ecfda | ebgcaf dbeag fgcdbae dgcf
bdegca ecbdaf bfae cgdfb ebafdgc ba dfabc bac feagcd fdcea | bac ebcfadg ba ab
gceda eab agbfedc eafcdg ab gbac bgdef gacbed dgbea cfaebd | bgfcade ba abgc bae
gbfe eg gcfdeb daebcg bcdef cgefd cdfag fbdeac egcadfb gec | ge befgdc gce egc
bga gbeacd cbgde gdefcab cagbdf ab beda cfbegd aecgf agecb | agfce daeb bead agb
fedgba agecbf bc bcdf cgb febdcg ecgfabd gcade dgbec efgdb | bgedfac cb bc bc
gfaeb bcdfe cea gfca bdacge aecbdfg fegbca ac dfgbae caefb | cfga agcf cfga cbgade
cgeab fbegda adb dagbfec eafgbc bd bgcd adecf cegdba daebc | efbcdag gdcb bd deacfgb
bcagd cbgde gbfad eabdgf cda ceabfd fcag cdgabf agcbdfe ca | ca ca ac cda
agdce dageb eacdbf ecgdaf bafgd dgfacbe dgbaec bceg bea be | gceb bgdcaef edgac aedgc
bceadf adcfeg ga dfag geacd cabegdf ceafgb gca aecfd edcbg | ag acbfde gdfa ag
fdcegb abdfce cdega bgcad gfea cae ae bcafged fagedc fgdec | gfdce bafcde gfcdeb ae
egbcda cebadf bfe ef bedcg bgfda fgec fedbg begcfad gdbcef | bef gcbeda ef ecgf
egfdb cgd gdbfea cgbdf fdcba fgbdaec agbdec cg fecg cgdbfe | abgfedc fbcgd cegf gc
cfbegd ab gbacfd agefd ceab baf acfgdeb eafbgc bfegc bagef | ba abf beca baf
fcega fecda cbgaef fgaedb gbfc geadbc fag ecbdgaf eacgb fg | ecdfa bfgc dgebaf gcabe
aefdcg gfdcab ab fagb dbaegcf adb faecbd gcadb fcgad ebdgc | gadcef bfdaecg fgba fgecad
eabfc cdebf bgfca ecfbgad fbdceg aeb gceabd afde ea cbfade | abcdgef eabfc abe bdcfae
cd dgfceab dec cbegfd gedaf adfgec ecbag fgadbe cadf cgdea | fgedbc edc dce adcgfeb
agcdbf ecdgf adfcg agfcbed ef ecdfab efc agfe cgebd defagc | eadcfb cfdbega cef geaf
cdbafe deacf ga dbecag fecdagb bcfge gfda caedfg gae eagfc | ga eag gfcebad cfgae
ceadfg bdf gfbec adbe fbegd abgdfc bd gdefa gdfeba dgacefb | bagedfc facedgb fbd bd
ecdba ecdagb gcfeda fbdaeg cfedb befcdag ca agedb abcg ace | cea fbaged eca bcag
gfedc gdaf gaefc dcf bgcde gdeafc fcgadeb gecabf cdafbe df | fd gcaef df egfdca
afegb cefgb eadcbg cgfbad dbecg cfde aegbcdf fcb gdebfc fc | fbcged bcf gbced aefgdcb
ca bfeda cae ecdfgb edgcf dgceaf gbaced afcg gbeacdf aefcd | ac dfcebag cagf ace
begcad efdagb fbgeadc fedcba aec abedg fcegb ca cgda abegc | abcfgde fgebadc bagedf gdca
aegb cfeadb acdgf decgbf ecgdb gcfedab bgdcea ba gbdac bad | bgceda gdafc fgadc dafcbe
fgecba aec adfe deacb ae abegdcf bcdag ecbfd gecdbf dafceb | gdcab ae edfa daef
agfde eacg adebfg fdgcb cafdg fgdeca cfbaed ac gcadfbe acf | fca gdfae acge dbeacf
fbagce de deg edfa fcbdg gbdcae aegfb dbgfe dgacbfe gefbad | edfa de ged bdgcf
bacfdg cdeafgb aecbfd daefb agedc afc abdefg cebf deacf cf | gbdafc efbc cfead fc
cegfab cdag bdc dc febad gfdbce dcaefbg gfbac dcafbg cdabf | dgafcb cdag dcbgeaf gaefdbc
dagefb acefg afdcb gd dgfaecb facbgd bcdg gda badcfe fgacd | fbecgda cfadb gbdc fcaeg
gfbd cfeda gabcfe db dba baefg beafd bcgdae fedcbag efbdag | dba bad ebgaf dbegfca
cf fbdega aefbg afbcedg edgca dgbcfe gfaec febcag ecf afcb | aefbg gcaefb dbcegaf cef
gebdaf abgd cdabfe gacefbd agfed dg ged fegac aebfd fbdcge | egd abdegcf gadb afbgde
gcdf efdcb acfebd beagdc gd bdefg ebfcgd bdg fbega geabcfd | dgceba ecadgb adgfbce edbgf
fdcaebg efbdgc bgdacf dcae cbdge gebaf abd edgab da bgaedc | cebagd ad da gebcda
bfgcae cbd bcfea aedcb gbefcd cd adecfb adfc cagdfbe dbega | fcad cdabgfe dacf dcb
becg gfbace egacfbd acbfg acdfgb aec ce bdfea cgedaf fbcea | afcbg fedagc befac aecfgd
befa cgfed cfadb gdcfba acdfe ace edgbac fgcdbea ceafdb ae | feab eacdf bcdgafe bfae
bcdefag dafeg fgec dgeafc gea gdfbca cgdaeb bfdea eg dgafc | eg aefcdgb ecdfag gea
gfadb gedfb bdecgfa adbefg dcgaf abf gdcefb aebg ab bafced | gdbfe gbfed ebag cabgfde
dbegfa acgbdf eg gcfbed gdafb bfacegd ebg aged fageb bacfe | ge gefcdba ge bgdfa
adbgec fdceg afdgc bedf cfe fe gaecbdf faebgc gcbed fcbedg | acfdg gdeabc debf ef
dfgbe da ecbadg dafeg fadb gfdbea dagcfbe dbgfec cfgea dga | befdg agd eafdg fabd
bedc aefbc ceadfb fdb cbagfed fecgab dcfba gaebdf cfagd bd | db bfd bfcae adgefb
cabedgf edbfgc gedcfa bacegf fde dgbf baced fd fedbc fegbc | fcdeb adbgefc adecgbf fde
fged egafc ecafgd efcda dfa dfcabg becfag fd agcdfbe ecdab | dgef fd dgfe df
deafgb gbfdc dg dbg agdc dbcafg cadfb bafced fgbce daegbfc | gbfdac afdgcb dgb gdcfb
dfecb fabdge cegbaf fdca faecb aefcdb bdf gdbce afgcebd fd | dbf fbd edcabgf fadc
cbf egabfdc fdcgba fabecd cf dfagb gfac adbegf cdegb bcfgd | acfg afgbed cgdfab fc
ebdfagc bcfa gecfdb af daegbf fgcbd bcdfag egcda fgdca gfa | fcab gafcdb dbfega acfb
adfbg eacb abfcg ecafbg gface ecfgad bc degfbc cbg gabdefc | cb gabefcd cagfebd agcbfe
ebgad bef gacfe gceadf fb efcagbd eabfcd cegfab gbfc ebagf | cefadg fcgae fgbc ebacdgf
dcg aged efacd cfgdae edacbf edfcg bcagdef gd fecbg dcfbag | cdeabgf gd gcd adge
fecgda cdabefg gabfc gfacbd ecgabf cbafe bcdef ea ace bgea | egba gabe beagfdc fbcag
bacdgf eafbd cagde becad afgcedb bc fbegad cfbe cba fcdaeb | fcbe abc dbecaf edcba
ecbdf dagfceb abcfde cbade aebgc adb bfgead debfgc cafd ad | bad dcaf begac da
gbae deafb fdgbea cegfd ag cdaefb cgabefd degfa dag dfcgab | baeg agefdb bcdafg cbdfga
ebcdf gdeafbc cdgbfe eaf cdfa deafbc gedab aecfbg ebadf af | befacd ebfda af af
cfab dcb gfedbac bc cgaedb fbdge cbfdg acgbdf gdcaf acgdfe | bc fcab afcb dbc
edbag gebdc bedfag eacdbg bcedgfa ecab ec gaedcf bdcfg cge | ce ceab ec bdegcaf
fedcba fbgca cbafge ef gbdacf efbgcad gefca befg ecdga afe | fea adgfcb fcage bcdfae
da edfgc cgfdba adfecgb gfaeb dcefga fecdgb gad gdeaf ecad | cedfg dbfcega gfcaed abdcfeg
fcgbed fcbedga cafbe gdceba bcafge bfe fagb fb eacbg facde | cdfbeg fb ebgcadf fgcedba
fecdb fdcbae afdeg cdfea aec efgbadc ca cbfa dcagbe gbefdc | facb fabc fcdbega efadcb
dagcf gadfeb ad dfegbc cgdfba dbac abgecfd dcgfb cfgae adf | fgadc cbda ad cfagd
fdgcb agedbc cdbef feac efb ef febdac afdegb abced edgafcb | fe bfecd dcebf cafe
cafdbg eaf fe gebf befcag cfbga cgaef fdaecbg edcga febacd | gfbe egbf aebgcdf faceg
bfc febg cdfga dafbec cegbd fb cdbgfe cbfgd cadegb gbefdac | dcefgb dbfcg deafbc gbdec
bacgd cedfbg cf aefc dfc aecgdf adfcgeb gafed cafgd baefdg | dgafc fc dfc gfbced
bcge fgc efcdab ecgafb cfeab fabgd fagbc bgcdeaf efcagd cg | cbeg bdagf bcgaf fgc
cdaeg fbaec ceafd fd cfd adfceb bgaecf dbcegf bdaf cgeabdf | df cdf fdagbce cbedaf
dgcbf gecfadb gbdecf gfdbca fbagde ad cdgab dag afcd caegb | cgbedf dfac bdacfeg cafdbg
defacg bd cdbegaf cfaeb dbf cbefgd cgdaf cfbgda facbd gabd | gfadec bdf gbad adgcef
bagdce deagcf bcdf cfa abgfdc cf geacfbd afgeb bacfg dcagb | cf cdbf aedcbfg fbdc
fbceda bedcf dg gefcdb aefbgd gdf cgde gfacb bdcfg dfcegab | dfbagec dfg cabdfeg gd
gda cfgbde dgbfc fgabdc fcagd cagfe baecgdf faebdg ad adbc | efgdcb dag dacb ad
dagec eca fgeacd cdefab gfdacbe afged dabgfe ac dcebg afgc | bdgce ecdga eagdc ca
da bda gadc dbafg fabgc faedcb dfcbgea agcfbe bedgf gfbadc | acbfegd gfabdc bad da
gdce aebfdg faebc fcdabg acgfedb eacgdb adc adgeb cd daceb | cd cgbadf cad edcg
caedb agbed gfbcad eca fdce gbface baefdcg acfdb fbedca ce | eac cebadf fagcdb cae
fcbadeg fcae bfdca ceb ec cdebaf ecbdf gcedab bgdfe dfagcb | geabcd acef agbced gdbeafc
cbdef degba efbad eafc dbcfge ecdafb af fcbgad edfbcag baf | gbdea ecaf eacf egfcdab
fcde gabfd cdgeba fac fc dcabe bfaced dacbf ebgfac cgfbeda | adcfb fca gebdfca fadbc
fdceg cbd edcgfa cb cdgfeb gdebac edgcafb fceb agbdf bgcfd | adfgce beacdgf bc cedfbag
fcbegda dbcefg gcebad gbfc cdb gfbaed bc cebfd ecdfa bdegf | dcb gabedf beafdg bc
cfaed bacdg egd aegcdf gcef gedac cdbefga afdgbe bdfaec eg | gcade cefad bdgfea gaedc
ac dbeacg ace defba fcaebdg dabfce abfedg dcaf cbfae efbcg | fegdba cfbae cea dbacfe
dgcaef bgcaef cfdgeb gd fgecb dcgfbae gebfd bgdc adebf fdg | gdf dafgbec dfg adfeb
ag cadg cgfed aefbc bcegdf agdfbe agf egfca gefcdba gdfeac | dgca dgcaef cdga adebcfg
dfcgbe badg aedgc eabfc dfcbega cgdafe eagbc aegcdb gbe bg | acfdge bge adbg bg
bcfage adcefg dfagc fgaec cdf abcgd dcbgafe df dfae fgcbed | df cfd eacgf fdc
cbadfe bfg cfgebd cbdg edfgbca bg egbdf feagcb fedag cefdb | fgdeb gfb fbdeca bgcd
bcde fdcgba abfcde dbfac abefc befga aec ce acfdge afdegbc | fcbad eac ec becd
ce cbagdf gdcbf cfaebdg gcbe acfdge fcdegb dbaef cef bcefd | acbgdfe cfebd gcebdf ec
ecgbd eacbf cgadeb edf ecafbdg afgebd dcgf ecfbd fgcbed fd | bcfea edf efgabcd df
dgbf egafcd cfedbag cgb abcef dcefg ebcfg cgeadb bg cgbfed | adfgebc egbcf cfeab gaefbdc
gecbfd gbedc dgabcef baefgd abegc dbfce bfdace dg gdb dfcg | dfgc bedfac dg dbg
acbdgf daeb gcbeaf gdfce adefg fbdga cbdfega fae fgdbea ea | ea fcdgaeb ae gecfadb
ga bdgafe bcaed dcgaebf bacfed acedg gbadec edgfc agd bcga | adg dga agcb fdecgab
ebdcfg cfbdg ecgabf gcd edfc fdcbeag ebcdag dabgf dc cgebf | cd gcd gacbde cd
egdfac bf afebdg baf bfdeca bgdf fedga egacb gecbafd gbeaf | bfa fb gfdb fb
gcafb dc gecd fecbgda cfdbg dfebgc cdf fbegd dcfbea fgedab | edfcbg dgbcf cd dcf
badf fcagd agcefb dfgcab ba dcbeg cedabgf abgdc acegfd abg | ebfagc dfab ab fcbdeag
cfgbad gdbfe fe efgdacb cbdge dabgfe egdcaf befa bdgfa egf | decagfb eabf baef fe
dbfea bcaefdg dcfgeb ag bfceag egfcda becfg fgeba gcab ega | agbfecd aedfcgb gcba ga

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be cfbegad cbdgef fgaecd cgeb fdcge agebfd fecdb fabcd edb | fdgacbe cefdb cefbgd gcbe
edbfga begcd cbg gc gcadebf fbgde acbgfd abcde gfcbed gfec | fcgedb cgb dgebacf gc
fgaebd cg bdaec gdafb agbcfd gdcbef bgcad gfac gcb cdgabef | cg cg fdcagb cbg
fbegcd cbd adcefb dageb afcb bc aefdc ecdab fgdeca fcdbega | efabcd cedba gadfec cb
aecbfdg fbg gf bafeg dbefa fcge gcbea fcaegb dgceab fcbdga | gecf egdcabf bgf bfgea
fgeab ca afcebg bdacfeg cfaedg gcfdb baec bfadeg bafgc acf | gebdcfa ecba ca fadegcb
dbcfg fgd bdegcaf fgec aegbdf ecdfab fbedc dacgb gdcebf gf | cefg dcbef fcge gbcadfe
bdfegc cbegaf gecbf dfcage bdacg ed bedf ced adcbefg gebcd | ed bcgafe cdgba cbgef
egadfb cdbfeg cegd fecab cgb gbdefca cg fgcdab egfdb bfceg | gbdfcae bgc cg cgb
gcafb gcf dcaebfg ecagb gf abcdeg gaef cafbge fdbac fegbdc | fgae cfgab fg bagce