02 = 0
12 = 1
22 = 4
42 = 16
102 = 100
112 = 121
122 = 144
202 = 400
212 = 441
402 = 1600
462 = 2116
1002 = 10000
1012 = 10201
1022 = 10404
1102 = 12100
1202 = 14400
1212 = 14641
1422 = 20164
1622 = 26244
2002 = 40000
2012 = 40401
2042 = 41616
2102 = 44100
4002 = 160000
4022 = 161604
4602 = 211600
6422 = 412164
10002 = 1000000
10012 = 1002001
10022 = 1004004
10102 = 1020100
10112 = 1022121
10122 = 1024144
10202 = 1040400
10212 = 1042441
11002 = 1210000
11012 = 1212201
11022 = 1214404
12002 = 1440000
12012 = 1442401
12102 = 1464100
14202 = 2016400
16202 = 2624400
20002 = 4000000
20012 = 4004001
20042 = 4016016
20102 = 4040100
20112 = 4044121
20402 = 4161600
21002 = 4410000
21012 = 4414201
24622 = 6061444
40002 = 16000000
40022 = 16016004
40202 = 16160400
46002 = 21160000
64042 = 41011216
64202 = 41216400
66422 = 44116164
100002 = 100000000
100012 = 100020001
100022 = 100040004
100102 = 100200100
100112 = 100220121
100122 = 100240144
100202 = 100400400
100212 = 100420441
101002 = 102010000
101102 = 102212100
101202 = 102414400
102002 = 104040000
102012 = 104060401
102042 = 104121616
102102 = 104244100
106022 = 112402404
110002 = 121000000
110012 = 121022001
110022 = 121044004
110102 = 121220100
110112 = 121242121
110122 = 121264144
110202 = 121440400
110212 = 121462441
110462 = 122014116
111422 = 124144164
120002 = 144000000
120012 = 144024001
120102 = 144240100
120112 = 144264121
121002 = 146410000
142002 = 201640000
161622 = 261210244
162002 = 262440000
162612 = 264420121
200002 = 400000000
200012 = 400040001
200042 = 400160016
200102 = 400400100
200112 = 400440121
200402 = 401601600
201002 = 404010000
201102 = 404412100
204002 = 416160000
204022 = 416241604
206012 = 424401201
206022 = 424442404
210002 = 441000000
210012 = 441042001
210102 = 441420100
210112 = 441462121
216022 = 466646404
246202 = 606144400
400002 = 1600000000
400022 = 1600160004
400202 = 1601600400
402002 = 1616040000
402012 = 1616120401
460002 = 2116000000
640402 = 4101121600
642002 = 4121640000
664202 = 4411616400
1000002 = 10000000000
1000012 = 10000200001
1000022 = 10000400004
1000102 = 10002000100
1000112 = 10002200121
1000122 = 10002400144
1000202 = 10004000400
1000212 = 10004200441
1001002 = 10020010000
1001012 = 10020210201
1001022 = 10020410404
1001102 = 10022012100
1001202 = 10024014400
1001212 = 10024214641
1002002 = 10040040000
1002012 = 10040240401
1002102 = 10042044100
1010002 = 10201000000
1010012 = 10201202001
1010022 = 10201404004
1011002 = 10221210000
1011012 = 10221412201
1011022 = 10221614404
1012002 = 10241440000
1012012 = 10241642401
1020002 = 10404000000
1020012 = 10404204001
1020102 = 10406040100
1020112 = 10406244121
1020402 = 10412161600
1021002 = 10424410000
1021012 = 10424614201
1060202 = 11240240400
1061212 = 11261666641
1061422 = 11266124164
1100002 = 12100000000
1100012 = 12100220001
1100022 = 12100440004
1100102 = 12102200100
1100112 = 12102420121
1100122 = 12102640144
1100202 = 12104400400
1100212 = 12104620441
1100462 = 12110122116
1101002 = 12122010000
1101102 = 12124212100
1101202 = 12126414400
1102002 = 12144040000
1102012 = 12144260401
1102102 = 12146244100
1104602 = 12201411600
1114202 = 12414416400
1200002 = 14400000000
1200012 = 14400240001
1200102 = 14402400100
1200112 = 14402640121
1200462 = 14411042116
1201002 = 14424010000
1201102 = 14426412100
1210002 = 14641000000
1210012 = 14641242001
1420002 = 20164000000
1422012 = 20221124401
1616202 = 26121024400
1620002 = 26244000000
1626102 = 26442012100
2000002 = 40000000000
2000012 = 40000400001
2000042 = 40001600016
2000102 = 40004000100
2000112 = 40004400121
2000402 = 40016001600
2001002 = 40040010000
2001012 = 40040410201
2001102 = 40044012100
2004002 = 40160160000
2006022 = 40241162404
2010002 = 40401000000
2010012 = 40401402001
2011002 = 40441210000
2011012 = 40441612201
2011022 = 40442014404
2040002 = 41616000000
2040202 = 41624160400
2060102 = 42440120100
2060202 = 42444240400
2064042 = 42602611216
2100002 = 44100000000
2100012 = 44100420001
2100102 = 44104200100
2100112 = 44104620121
2101002 = 44142010000
2101102 = 44146212100
2160202 = 46664640400
2462002 = 60614440000
4000002 = 160000000000
4000022 = 160001600004
4000202 = 160016000400
4002002 = 160160040000
4020002 = 161604000000
4020102 = 161612040100
4600002 = 211600000000
4600112 = 211610120121
4600122 = 211611040144
4626022 = 214000610404
6404002 = 410112160000
6420002 = 412164000000
6422012 = 412422124401
6641622 = 441111162244
6642002 = 441161640000
6642622 = 441244004644
10000002 = 1000000000000
10000012 = 1000002000001
10000022 = 1000004000004
10000102 = 1000020000100
10000112 = 1000022000121
10000122 = 1000024000144
10000202 = 1000040000400
10000212 = 1000042000441
10001002 = 1000200010000
10001012 = 1000202010201
10001022 = 1000204010404
10001102 = 1000220012100
10001202 = 1000240014400
10001212 = 1000242014641
10002002 = 1000400040000
10002012 = 1000402040401
10002102 = 1000420044100
10010002 = 1002001000000
10010102 = 1002021020100
10010202 = 1002041040400
10011002 = 1002201210000
10012002 = 1002401440000
10012102 = 1002421464100
10020002 = 1004004000000
10020012 = 1004006004001
10020042 = 1004012016016
10020102 = 1004024040100
10020112 = 1004026044121
10021002 = 1004204410000
10021012 = 1004206414201
10060022 = 1012040024004
10060122 = 1012060144144
10100002 = 1020100000000
10100012 = 1020102020001
10100022 = 1020104040004
10100102 = 1020120200100
10100112 = 1020122220121
10100122 = 1020124240144
10100202 = 1020140400400
10100212 = 1020142420441
10110002 = 1022121000000
10110102 = 1022141220100
10110202 = 1022161440400
10110462 = 1022214014116
10120002 = 1024144000000
10120012 = 1024146024001
10120102 = 1024164240100
10120112 = 1024166264121
10200002 = 1040400000000
10200012 = 1040402040001
10200102 = 1040420400100
10200112 = 1040422440121
10201002 = 1040604010000
10201102 = 1040624412100
10204002 = 1041216160000
10204022 = 1041220241604
10206012 = 1041626401201
10210002 = 1042441000000
10210102 = 1042461420100
10602002 = 1124024040000
10602012 = 1124026160401
10612102 = 1126166664100
10614202 = 1126612416400
11000002 = 1210000000000
11000012 = 1210002200001
11000022 = 1210004400004
11000102 = 1210022000100
11000112 = 1210024200121
11000122 = 1210026400144
11000202 = 1210044000400
11000212 = 1210046200441
11000462 = 1210101202116
11001002 = 1210220010000
11001012 = 1210222210201
11001022 = 1210224410404
11001102 = 1210242012100
11001202 = 1210264014400
11001212 = 1210266214641
11002002 = 1210440040000
11002012 = 1210442240401
11002102 = 1210462044100
11004602 = 1211012211600
11010002 = 1212201000000
11011002 = 1212421210000
11012002 = 1212641440000
11020002 = 1214404000000
11020012 = 1214406204001
11020102 = 1214426040100
11021002 = 1214624410000
11021012 = 1214626614201
11046002 = 1220141160000
11142002 = 1241441640000
12000002 = 1440000000000
12000012 = 1440002400001
12000102 = 1440024000100
12000112 = 1440026400121
12000462 = 1440110402116
12001002 = 1440240010000
12001012 = 1440242410201
12001102 = 1440264012100
12004602 = 1441104211600
12010002 = 1442401000000
12011002 = 1442641210000
12011022 = 1442646014404
12100002 = 1464100000000
12100012 = 1464102420001
12100102 = 1464124200100
12100112 = 1464126620121
14200002 = 2016400000000
14220102 = 2022112440100
16126422 = 2600614220164
16160022 = 2611462464004
16162002 = 2612102440000
16200002 = 2624400000000
16261002 = 2644201210000
16261012 = 2644204462201
20000002 = 4000000000000
20000012 = 4000004000001
20000042 = 4000016000016
20000102 = 4000040000100
20000112 = 4000044000121
20000402 = 4000160001600
20001002 = 4000400010000
20001012 = 4000404010201
20001102 = 4000440012100
20004002 = 4001600160000
20010002 = 4004001000000
20010102 = 4004041020100
20011002 = 4004401210000
20040002 = 4016016000000
20040022 = 4016024016004
20060012 = 4024040012001
20060022 = 4024044024004
20060202 = 4024116240400
20061012 = 4024441222201
20066422 = 4026612116164
20100002 = 4040100000000
20100012 = 4040104020001
20100102 = 4040140200100
20100112 = 4040144220121
20110002 = 4044121000000
20110102 = 4044161220100
20110202 = 4044201440400
20160022 = 4064264064004
20400002 = 4161600000000
20402002 = 4162416040000
20402012 = 4162420120401
20411422 = 4166260664164
20601002 = 4244012010000
20602002 = 4244424040000
20640402 = 4260261121600
21000002 = 4410000000000
21000012 = 4410004200001
21000102 = 4410042000100
21000112 = 4410046200121
21001002 = 4410420010000
21001012 = 4410424210201
21001102 = 4410462012100
21010002 = 4414201000000
21011002 = 4414621210000
21602002 = 4666464040000
24620002 = 6061444000000
40000002 = 16000000000000
40000022 = 16000016000004
40000202 = 16000160000400
40002002 = 16001600040000
40020002 = 16016004000000
40020012 = 16016012004001
40200002 = 16160400000000
40201002 = 16161204010000
40202042 = 16162040201616
46000002 = 21160000000000
46000112 = 21160101200121
46000122 = 21160110400144
46001102 = 21161012012100
46001202 = 21161104014400
46061012 = 21216166422201
46110112 = 21261422442121
46260202 = 21400061040400
46266622 = 21406001262244
64040002 = 41011216000000
64040022 = 41011241616004
64064042 = 41042012211216
64110112 = 41101062042121
64126022 = 41121464410404
64200002 = 41216400000000
64220102 = 41242212440100
66416202 = 44111116224400
66420002 = 44116164000000
66426202 = 44124400464400
100000002 = 100000000000000
100000012 = 100000020000001
100000022 = 100000040000004
100000102 = 100000200000100
100000112 = 100000220000121
100000122 = 100000240000144
100000202 = 100000400000400
100000212 = 100000420000441
100001002 = 100002000010000
100001012 = 100002020010201
100001022 = 100002040010404
100001102 = 100002200012100
100001202 = 100002400014400
100001212 = 100002420014641
100002002 = 100004000040000
100002012 = 100004020040401
100002102 = 100004200044100
100010002 = 100020001000000
100010012 = 100020021002001
100010022 = 100020041004004
100010102 = 100020201020100
100010112 = 100020221022121
100010122 = 100020241024144
100010202 = 100020401040400
100010212 = 100020421042441
100011002 = 100022001210000
100011012 = 100022021212201
100011022 = 100022041214404
100012002 = 100024001440000
100012012 = 100024021442401
100012102 = 100024201464100
100020002 = 100040004000000
100020012 = 100040024004001
100020102 = 100040204040100
100020112 = 100040224044121
100021002 = 100042004410000
100021012 = 100042024414201
100100002 = 100200100000000
100100012 = 100200120020001
100100022 = 100200140040004
100101002 = 100202102010000
100102002 = 100204104040000
100102012 = 100204124060401
100110002 = 100220121000000
100110012 = 100220141022001
100110022 = 100220161044004
100110462 = 100221042014116
100120002 = 100240144000000
100120012 = 100240164024001
100121002 = 100242146410000
100200002 = 100400400000000
100200012 = 100400420040001
100200102 = 100400600400100
100200112 = 100400620440121
100200402 = 100401201601600
100201002 = 100402404010000
100201102 = 100402604412100
100206012 = 100412444401201
100206022 = 100412464442404
100210002 = 100420441000000
100210012 = 100420461042001
100210102 = 100420641420100
100210112 = 100420661462121
100220462 = 100441406026116
100600202 = 101204002400400
100601202 = 101206014414400
100610462 = 101224646614116
100620212 = 101244266604441
101000002 = 102010000000000
101000012 = 102010020200001
101000022 = 102010040400004
101000102 = 102010202000100
101000112 = 102010222200121
101000122 = 102010242400144
101000202 = 102010404000400
101000212 = 102010424200441
101001002 = 102012020010000
101001012 = 102012040210201
101001022 = 102012060410404
101001102 = 102012222012100
101001202 = 102012424014400
101001212 = 102012444214641
101002002 = 102014040040000
101002012 = 102014060240401
101002102 = 102014242044100
101100002 = 102212100000000
101100012 = 102212120220001
101100022 = 102212140440004
101101002 = 102214122010000
101102002 = 102216144040000
101102012 = 102216164260401
101104602 = 102221401411600
101200002 = 102414400000000
101200012 = 102414420240001
101200102 = 102414602400100
101200112 = 102414622640121
101201002 = 102416424010000
101201102 = 102416626412100
102000002 = 104040000000000
102000012 = 104040020400001
102000102 = 104040204000100
102000112 = 104040224400121
102001002 = 104042040010000
102001012 = 104042060410201
102001102 = 104042244012100
102002012 = 104044100440401
102002042 = 104044161641616
102010002 = 104060401000000
102010012 = 104060421402001
102011002 = 104062441210000
102011012 = 104062461612201
102040002 = 104121616000000
102040202 = 104122024160400
102060102 = 104162640120100
102100002 = 104244100000000
102100012 = 104244120420001
102101002 = 104246142010000
106020002 = 112402404000000
106020102 = 112402616040100
106022012 = 112406666044401
106024622 = 112412200461444
106121002 = 112616666410000
106142002 = 112661241640000
110000002 = 121000000000000
110000012 = 121000022000001
110000022 = 121000044000004
110000102 = 121000220000100
110000112 = 121000242000121
110000122 = 121000264000144
110000202 = 121000440000400
110000212 = 121000462000441
110000462 = 121001012002116
110001002 = 121002200010000
110001012 = 121002222010201
110001022 = 121002244010404
110001102 = 121002420012100
110001202 = 121002640014400
110001212 = 121002662014641
110002002 = 121004400040000
110002012 = 121004422040401
110002102 = 121004620044100
110004602 = 121010120211600
110006422 = 121014124412164
110010002 = 121022001000000
110010102 = 121022221020100
110010202 = 121022441040400
110011002 = 121024201210000
110012002 = 121026401440000
110012102 = 121026621464100
110020002 = 121044004000000
110020012 = 121044026004001
110020102 = 121044224040100
110020112 = 121044246044121
110021002 = 121046204410000
110021012 = 121046226414201
110046002 = 121101221160000
110100002 = 121220100000000
110100012 = 121220122020001
110100022 = 121220144040004
110110002 = 121242121000000
110120002 = 121264144000000
110120012 = 121264166024001
110200002 = 121440400000000
110200012 = 121440422040001
110200102 = 121440620400100
110200112 = 121440642440121
110201002 = 121442604010000
110210002 = 121462441000000
110210102 = 121462661420100
110460002 = 122014116000000
111410112 = 124122126102121
111420002 = 124144164000000
112261422 = 126026264204164
120000002 = 144000000000000
120000012 = 144000024000001
120000102 = 144000240000100
120000112 = 144000264000121
120000462 = 144001104002116
120001002 = 144002400010000
120001012 = 144002424010201
120001102 = 144002640012100
120004602 = 144011040211600
120010002 = 144024001000000
120010102 = 144024241020100
120011002 = 144026401210000
120046002 = 144110421160000
120060012 = 144144060012001
120061012 = 144146461222201
120100002 = 144240100000000
120100012 = 144240124020001
120100212 = 144240604420441
120110002 = 144264121000000
120110202 = 144264601440400
121000002 = 146410000000000
121000012 = 146410024200001
121000102 = 146410242000100
121000112 = 146410266200121
121001002 = 146412420010000
121001012 = 146412444210201
121001102 = 146412662012100
142000002 = 201640000000000
142201002 = 202211244010000
161264202 = 260061422016400
161600202 = 261146246400400
161620002 = 261210244000000
162000002 = 262440000000000
162610002 = 264420121000000
162610102 = 264420446220100
200000002 = 400000000000000
200000012 = 400000040000001
200000042 = 400000160000016
200000102 = 400000400000100
200000112 = 400000440000121
200000402 = 400001600001600
200001002 = 400004000010000
200001012 = 400004040010201
200001102 = 400004400012100
200004002 = 400016000160000
200010002 = 400040001000000
200010012 = 400040041002001
200010102 = 400040401020100
200010112 = 400040441022121
200011002 = 400044001210000
200011012 = 400044041212201
200040002 = 400160016000000
200060022 = 400240116024004
200100002 = 400400100000000
200100012 = 400400140020001
200101002 = 400404102010000
200110002 = 400440121000000
200110012 = 400440161022001
200110022 = 400440201044004
200110122 = 400440601264144
200116022 = 400464214606404
200116622 = 400466616002244
200400002 = 401601600000000
200400202 = 401602401600400
200600102 = 402404001200100
200600202 = 402404402400400
200602002 = 402411624040000
200602012 = 402411664160401
200610102 = 402444122220100
200610122 = 402444202464144
200664202 = 402661211616400
201000002 = 404010000000000
201000012 = 404010040200001
201000102 = 404010402000100
201000112 = 404010442200121
201001002 = 404014020010000
201001012 = 404014060210201
201001022 = 404014100410404
201001102 = 404014422012100
201100002 = 404412100000000
201100012 = 404412140220001
201101002 = 404416122010000
201102002 = 404420144040000
201600202 = 406426406400400
201610022 = 406466001644004
204000002 = 416160000000000
204001022 = 416164161610404
204020002 = 416241604000000
204020102 = 416242012040100
204114202 = 416626066416400
206010002 = 424401201000000
206010012 = 424401242202001
206010212 = 424402066242441
206020002 = 424442404000000
206024622 = 424461440461444
206061212 = 424612222666641
206404002 = 426026112160000
206422012 = 426100462124401
210000002 = 441000000000000
210000012 = 441000042000001
210000102 = 441000420000100
210000112 = 441000462000121
210001002 = 441004200010000
210001012 = 441004242010201
210001102 = 441004620012100
210010002 = 441042001000000
210010102 = 441042421020100
210011002 = 441046201210000
210100002 = 441420100000000
210100012 = 441420142020001
210100122 = 441420604240144
210110002 = 441462121000000
216020002 = 466646404000000
246200002 = 606144400000000
400000002 = 1600000000000000
400000022 = 1600000160000004
400000202 = 1600001600000400
400002002 = 1600016000040000
400020002 = 1600160004000000
400200002 = 1601600400000000
400200102 = 1601601200400100
402000002 = 1616040000000000
402010002 = 1616120401000000
402020402 = 1616204020161600
460000002 = 2116000000000000
460000112 = 2116001012000121
460000122 = 2116001104000144
460001102 = 2116010120012100
460001202 = 2116011040014400
460011002 = 2116101201210000
460012002 = 2116110401440000
460610102 = 2121616642220100
461101102 = 2126142244212100
462602002 = 2140006104040000
462666202 = 2140600126224400
462666622 = 2140604012622244
640400002 = 4101121600000000
640400202 = 4101124161600400
640626422 = 4104022100020164
640640402 = 4104201221121600
641101102 = 4110106204212100
641260202 = 4112146441040400
642000002 = 4121640000000000
642000112 = 4121641412400121
642201002 = 4124221244010000
664162002 = 4411111622440000
664200002 = 4411616400000000
664262002 = 4412440046440000
666416622 = 4441111114122244
1000000002 = 10000000000000000
1000000012 = 10000000200000001
1000000022 = 10000000400000004
1000000102 = 10000002000000100
1000000112 = 10000002200000121
1000000122 = 10000002400000144
1000000202 = 10000004000000400
1000000212 = 10000004200000441
1000001002 = 10000020000010000
1000001012 = 10000020200010201
1000001022 = 10000020400010404
1000001102 = 10000022000012100
1000001202 = 10000024000014400
1000001212 = 10000024200014641
1000002002 = 10000040000040000
1000002012 = 10000040200040401
1000002102 = 10000042000044100
1000010002 = 10000200001000000
1000010012 = 10000200201002001
1000010022 = 10000200401004004
1000010102 = 10000202001020100
1000010112 = 10000202201022121
1000010122 = 10000202401024144
1000010202 = 10000204001040400
1000010212 = 10000204201042441
1000011002 = 10000220001210000
1000011012 = 10000220201212201
1000011022 = 10000220401214404
1000012002 = 10000240001440000
1000012012 = 10000240201442401
1000012102 = 10000242001464100
1000020002 = 10000400004000000
1000020012 = 10000400204004001
1000020102 = 10000402004040100
1000020112 = 10000402204044121
1000021002 = 10000420004410000
1000021012 = 10000420204414201
1000100002 = 10002000100000000
1000100102 = 10002002100200100
1000100202 = 10002004100400400
1000101002 = 10002020102010000
1000101102 = 10002022102212100
1000101202 = 10002024102414400
1000102002 = 10002040104040000
1000102102 = 10002042104244100
1000110002 = 10002200121000000
1000110102 = 10002202121220100
1000110202 = 10002204121440400
1000120002 = 10002400144000000
1000120102 = 10002402144240100
1000121002 = 10002420146410000
1000200002 = 10004000400000000
1000200012 = 10004000600040001
1000200042 = 10004001200160016
1000200102 = 10004002400400100
1000200112 = 10004002600440121
1000201002 = 10004020404010000
1000201102 = 10004022404412100
1000206012 = 10004120624401201
1000210002 = 10004200441000000
1000210012 = 10004200641042001
1000210102 = 10004202441420100
1000210112 = 10004202641462121
1000600022 = 10012004000240004
1000600122 = 10012006001440144
1000610022 = 10012204121244004
1000610122 = 10012206122464144
1000620012 = 10012404044124001
1001000002 = 10020010000000000
1001000012 = 10020010200200001
1001000022 = 10020010400400004
1001000102 = 10020012002000100
1001000112 = 10020012202200121
1001000122 = 10020012402400144
1001000202 = 10020014004000400
1001000212 = 10020014204200441
1001010002 = 10020210201000000
1001010012 = 10020210401202001
1001010022 = 10020210601404004
1001020002 = 10020410404000000
1001020012 = 10020410604204001
1001020102 = 10020412406040100
1001020112 = 10020412606244121
1001100002 = 10022012100000000
1001100102 = 10022014102200100
1001100202 = 10022016104400400
1001104602 = 10022104201411600
1001200002 = 10024014400000000
1001200012 = 10024014600240001
1001200102 = 10024016402400100
1001200112 = 10024016602640121
1001210002 = 10024214641000000
1002000002 = 10040040000000000
1002000012 = 10040040200400001
1002000102 = 10040042004000100
1002000112 = 10040042204400121
1002001002 = 10040060040010000
1002001012 = 10040060240410201
1002001102 = 10040062044012100
1002004002 = 10040120160160000
1002006022 = 10040160641162404
1002010002 = 10040240401000000
1002010012 = 10040240601402001
1002011002 = 10040260441210000
1002011012 = 10040260641612201
1002020012 = 10040441004404001
1002060102 = 10041244440120100
1002060202 = 10041246444240400
1002100002 = 10042044100000000
1002100102 = 10042046104200100
1002101002 = 10042064142010000
1002101102 = 10042066146212100
1002204602 = 10044140602611600
1006002002 = 10120400240040000
1006002012 = 10120400441240401
1006012002 = 10120601441440000
1006012012 = 10120601642642401
1006104602 = 10122464661411600
1006202102 = 10124426660444100
1010000002 = 10201000000000000
1010000012 = 10201000202000001
1010000022 = 10201000404000004
1010000102 = 10201002020000100
1010000112 = 10201002222000121
1010000122 = 10201002424000144
1010000202 = 10201004040000400
1010000212 = 10201004242000441
1010001002 = 10201020200010000
1010001012 = 10201020402010201
1010001022 = 10201020604010404
1010001102 = 10201022220012100
1010001202 = 10201024240014400
1010001212 = 10201024442014641
1010002002 = 10201040400040000
1010002012 = 10201040602040401
1010002102 = 10201042420044100
1010010002 = 10201202001000000
1010010102 = 10201204021020100
1010010202 = 10201206041040400
1010011002 = 10201222201210000
1010012002 = 10201242401440000
1010012102 = 10201244421464100
1010020002 = 10201404004000000
1010020012 = 10201404206004001
1010020102 = 10201406024040100
1010020112 = 10201406226044121
1010021002 = 10201424204410000
1010021012 = 10201424406414201
1010060022 = 10202212440024004
1010060122 = 10202214460144144
1011000002 = 10221210000000000
1011000012 = 10221210202200001
1011000022 = 10221210404400004
1011000102 = 10221212022000100
1011000112 = 10221212224200121
1011000122 = 10221212426400144
1011000202 = 10221214044000400
1011000212 = 10221214246200441
1011010002 = 10221412201000000
1011020002 = 10221614404000000
1011020012 = 10221614606204001
1011020102 = 10221616426040100
1011046002 = 10222140141160000
1012000002 = 10241440000000000
1012000012 = 10241440202400001
1012000102 = 10241442024000100
1012000112 = 10241442226400121
1012001002 = 10241460240010000
1012001012 = 10241460442410201
1012001102 = 10241462264012100
1012010002 = 10241642401000000
1012011002 = 10241662641210000
1020000002 = 10404000000000000
1020000012 = 10404000204000001
1020000102 = 10404002040000100
1020000112 = 10404002244000121
1020001002 = 10404020400010000
1020001012 = 10404020604010201
1020001102 = 10404022440012100
1020002012 = 10404041004040401
1020002042 = 10404041616041616
1020010002 = 10404204001000000
1020010102 = 10404206041020100
1020011002 = 10404224401210000
1020020102 = 10404410044040100
1020020402 = 10404416164161600
1020100002 = 10406040100000000
1020100102 = 10406042140200100
1020104022 = 10406122116201604
1020110002 = 10406244121000000
1020110102 = 10406246161220100
1020400002 = 10412161600000000
1020402002 = 10412202416040000
1020402012 = 10412202620120401
1020601002 = 10416264012010000
1021000002 = 10424410000000000
1021000012 = 10424410204200001
1021000102 = 10424412042000100
1021000112 = 10424412246200121
1021010002 = 10424614201000000
1022060012 = 10446066640412001
1060200002 = 11240240400000000
1060200012 = 11240240612040001
1060201002 = 11240261604010000
1060220102 = 11240666604440100
1060246202 = 11241220046144400
1061210002 = 11261666641000000
1061420002 = 11266124164000000
1100000002 = 12100000000000000
1100000012 = 12100000220000001
1100000022 = 12100000440000004
1100000102 = 12100002200000100
1100000112 = 12100002420000121
1100000122 = 12100002640000144
1100000202 = 12100004400000400
1100000212 = 12100004620000441
1100000462 = 12100010120002116
1100001002 = 12100022000010000
1100001012 = 12100022220010201
1100001022 = 12100022440010404
1100001102 = 12100024200012100
1100001202 = 12100026400014400
1100001212 = 12100026620014641
1100002002 = 12100044000040000
1100002012 = 12100044220040401
1100002102 = 12100046200044100
1100004602 = 12100101200211600
1100006422 = 12100141240412164
1100010002 = 12100220001000000
1100010012 = 12100220221002001
1100010022 = 12100220441004004
1100010102 = 12100222201020100
1100010112 = 12100222421022121
1100010122 = 12100222641024144
1100010202 = 12100224401040400
1100010212 = 12100224621042441
1100011002 = 12100242001210000
1100011012 = 12100242221212201
1100011022 = 12100242441214404
1100012002 = 12100264001440000
1100012012 = 12100264221442401
1100012102 = 12100266201464100
1100020002 = 12100440004000000
1100020012 = 12100440224004001
1100020102 = 12100442204040100
1100020112 = 12100442424044121
1100021002 = 12100462004410000
1100021012 = 12100462224414201
1100046002 = 12101012021160000
1100064202 = 12101412441216400
1100100002 = 12102200100000000
1100101002 = 12102222102010000
1100102002 = 12102244104040000
1100110002 = 12102420121000000
1100120002 = 12102640144000000
1100121002 = 12102662146410000
1100200002 = 12104400400000000
1100200012 = 12104400620040001
1100200102 = 12104402600400100
1100201002 = 12104422404010000
1100201102 = 12104424604412100
1100210002 = 12104620441000000
1100210012 = 12104620661042001
1100210102 = 12104622641420100
1100460002 = 12110122116000000
1101000002 = 12122010000000000
1101000012 = 12122010220200001
1101000022 = 12122010440400004
1101000102 = 12122012202000100
1101000112 = 12122012422200121
1101000122 = 12122012642400144
1101000202 = 12122014404000400
1101000212 = 12122014624200441
1101100002 = 12124212100000000
1101200002 = 12126414400000000
1101200012 = 12126414620240001
1101200102 = 12126416602400100
1102000002 = 12144040000000000
1102000012 = 12144040220400001
1102000102 = 12144042204000100
1102000112 = 12144042424400121
1102001002 = 12144062040010000
1102001012 = 12144062260410201
1102001102 = 12144064244012100
1102010002 = 12144260401000000
1102010012 = 12144260621402001
1102100002 = 12146244100000000
1102101002 = 12146266142010000
1104600002 = 12201411600000000
1114101102 = 12412212610212100
1114200002 = 12414416400000000
1122614202 = 12602626420416400
1200000002 = 14400000000000000
1200000012 = 14400000240000001
1200000102 = 14400002400000100
1200000112 = 14400002640000121
1200000462 = 14400011040002116
1200001002 = 14400024000010000
1200001012 = 14400024240010201
1200001102 = 14400026400012100
1200004602 = 14400110400211600
1200010002 = 14400240001000000
1200010012 = 14400240241002001
1200010102 = 14400242401020100
1200010112 = 14400242641022121
1200011002 = 14400264001210000
1200011012 = 14400264241212201
1200046002 = 14401104021160000
1200100002 = 14402400100000000
1200101002 = 14402424102010000
1200110002 = 14402640121000000
1200110022 = 14402640601044004
1200460002 = 14411042116000000
1200600102 = 14414406001200100
1200610022 = 14414644201244004
1200610102 = 14414646122220100
1200610122 = 14414646602464144
1201000002 = 14424010000000000
1201000012 = 14424010240200001
1201000102 = 14424012402000100
1201000112 = 14424012642200121
1201002102 = 14424060442044100
1201100002 = 14426412100000000
1201101422 = 14426446211260164
1201102002 = 14426460144040000
1210000002 = 14641000000000000
1210000012 = 14641000242000001
1210000102 = 14641002420000100
1210000112 = 14641002662000121
1210001002 = 14641024200010000
1210001012 = 14641024442010201
1210001102 = 14641026620012100
1210010002 = 14641242001000000
1210010102 = 14641244421020100
1210011002 = 14641266201210000
1420000002 = 20164000000000000
1422010002 = 20221124401000000
1612642002 = 26006142201640000
1616002002 = 26114624640040000
1616200002 = 26121024400000000
1620000002 = 26244000000000000
1626040022 = 26440061466416004
1626100002 = 26442012100000000
1626100122 = 26442016002640144
1626101002 = 26442044622010000
1626112612 = 26442422204010121
1626120112 = 26442666121464121
2000000002 = 40000000000000000
2000000012 = 40000000400000001
2000000042 = 40000001600000016
2000000102 = 40000004000000100
2000000112 = 40000004400000121
2000000402 = 40000016000001600
2000001002 = 40000040000010000
2000001012 = 40000040400010201
2000001102 = 40000044000012100
2000004002 = 40000160000160000
2000010002 = 40000400001000000
2000010012 = 40000400401002001
2000010102 = 40000404001020100
2000010112 = 40000404401022121
2000011002 = 40000440001210000
2000011012 = 40000440401212201
2000040002 = 40001600016000000
2000100002 = 40004000100000000
2000100102 = 40004004100200100
2000101002 = 40004040102010000
2000101102 = 40004044102212100
2000110002 = 40004400121000000
2000110102 = 40004404121220100
2000400002 = 40016001600000000
2000400022 = 40016002400160004
2000600012 = 40024004000120001
2000600022 = 40024004400240004
2000600202 = 40024011602400400
2000610012 = 40024404121122001
2000610462 = 40024422126614116
2001000002 = 40040010000000000
2001000012 = 40040010400200001
2001000102 = 40040014002000100
2001000112 = 40040014402200121
2001010002 = 40040410201000000
2001010012 = 40040410601202001
2001010022 = 40040411001404004
2001040022 = 40041611616416004
2001100002 = 40044012100000000
2001100102 = 40044016102200100
2001100202 = 40044020104400400
2001101202 = 40044060126414400
2001160202 = 40046421460640400
2001166202 = 40046661600224400
2001600022 = 40064026400640004
2004000002 = 40160160000000000
2004002002 = 40160240160040000
2006001002 = 40240400120010000
2006002002 = 40240440240040000
2006002012 = 40240440641240401
2006020002 = 40241162404000000
2006020102 = 40241166416040100
2006101002 = 40244412222010000
2006101202 = 40244420246414400
2006642002 = 40266121161640000
2006642622 = 40266146044004644
2010000002 = 40401000000000000
2010000012 = 40401000402000001
2010000102 = 40401004020000100
2010000112 = 40401004422000121
2010001002 = 40401040200010000
2010001012 = 40401040602010201
2010001022 = 40401041004010404
2010001102 = 40401044220012100
2010004022 = 40401161604161604
2010010002 = 40401402001000000
2010010102 = 40401406021020100
2010010202 = 40401410041040400
2010011002 = 40401442201210000
2011000002 = 40441210000000000
2011000012 = 40441210402200001
2011000102 = 40441214022000100
2011000112 = 40441214424200121
2011010002 = 40441612201000000
2011020002 = 40442014404000000
2011024622 = 40442200222461444
2016001022 = 40642601126410404
2016002002 = 40642640640040000
2016100202 = 40646600164400400
2040000002 = 41616000000000000
2040001022 = 41616041616010404
2040004022 = 41616164016161604
2040010202 = 41616416161040400
2040102012 = 41620162112060401
2040104022 = 41620244124201604
2040200002 = 41624160400000000
2040201002 = 41624201204010000
2040206022 = 41624406040442404
2041142002 = 41662606641640000
2060100002 = 42440120100000000
2060100102 = 42440124220200100
2060102102 = 42440206624244100
2060200002 = 42444240400000000
2060204022 = 42444406040241604
2060246202 = 42446144046144400
2060610122 = 42461140666464144
2060612102 = 42461222266664100
2064002042 = 42601044211241616
2064040002 = 42602611216000000
2064040022 = 42602612041616004
2064126022 = 42606162264410404
2064220102 = 42610046212440100
2100000002 = 44100000000000000
2100000012 = 44100000420000001
2100000102 = 44100004200000100
2100000112 = 44100004620000121
2100001002 = 44100042000010000
2100001012 = 44100042420010201
2100001102 = 44100046200012100
2100010002 = 44100420001000000
2100010012 = 44100420421002001
2100010102 = 44100424201020100
2100010112 = 44100424621022121
2100011002 = 44100462001210000
2100011012 = 44100462421212201
2100100002 = 44104200100000000
2100101002 = 44104242102010000
2100110002 = 44104620121000000
2100620012 = 44126044264124001
2101000002 = 44142010000000000
2101000012 = 44142010420200001
2101000102 = 44142014202000100
2101000112 = 44142014622200121
2101001202 = 44142060424014400
2101100002 = 44146212100000000
2112261022 = 44616466166114404
2146266622 = 46064604041262244
2160200002 = 46664640400000000
2462000002 = 60614440000000000
2462166622 = 60622644646422244
4000000002 = 160000000000000000
4000000022 = 160000001600000004
4000000202 = 160000016000000400
4000002002 = 160000160000040000
4000020002 = 160001600004000000
4000200002 = 160016000400000000
4000200012 = 160016001200040001
4002000002 = 160160040000000000
4002001002 = 160160120040010000
4002020012 = 160161641604404001
4020000002 = 161604000000000000
4020002012 = 161604161604040401
4020002042 = 161604164016041616
4020100002 = 161612040100000000
4020102042 = 161612204120121616
4020202042 = 161620244424201616
4020204002 = 161620402016160000
4600000002 = 211600000000000000
4600000112 = 211600010120000121
4600000122 = 211600011040000144
4600001102 = 211600101200012100
4600001202 = 211600110400014400
4600011002 = 211601012001210000
4600012002 = 211601104001440000
4600110002 = 211610120121000000
4600110012 = 211610121041022001
4600110462 = 211610162442014116
4600120002 = 211611040144000000
4600120012 = 211611041064024001
4600220012 = 211620241404044001
4606101002 = 212161664222010000
4611011002 = 212614224421210000
4611100112 = 212622442244420121
4626020002 = 214000610404000000
4626040022 = 214002462666416004
4626061422 = 214004442616124164
4626166022 = 214014120446026404
4626662002 = 214060012622440000
4626666202 = 214060401262224400
4626666622 = 214060440126222244
6404000002 = 410112160000000000
6404002002 = 410112416160040000
6406264202 = 410402210002016400
6406404002 = 410420122112160000
6411011002 = 411010620421210000
6411100112 = 411022046204420121
6412602002 = 411214644104040000
6414126022 = 411410126004410404
6414161012 = 411414614622042201
6414406012 = 411446044611241201
6420000002 = 412164000000000000
6420000112 = 412164014124000121
6420001102 = 412164141240012100
6422010002 = 412422124401000000
6641104022 = 441042626044601604
6641620002 = 441111162244000000
6642000002 = 441161640000000000
6642620002 = 441244004644000000
6644112012 = 441442244014262401
6664166202 = 444111111412224400