02 = 0
12 = 1
102 = 100
1002 = 10000
10002 = 1000000
100002 = 100000000
1000002 = 10000000000
1305012 = 17030511001
5505012 = 303051351001
10000002 = 1000000000000
13050102 = 1703051100100
55050102 = 30305135100100
75535012 = 57055377357001
100000002 = 100000000000000
105505012 = 111313071351001
130501002 = 170305110010000
550501002 = 3030513510010000
550550012 = 3031053135110001
575335012 = 3310103737317001
577335012 = 3333157137717001
730550012 = 5337033171110001
755350102 = 5705537735700100
1000000002 = 10000000000000000
1055050102 = 11131307135100100
1305010002 = 17030511001000000
1315315012 = 17300535755313001
5505010002 = 303051351001000000
5505500102 = 303105313511000100
5753350102 = 331010373731700100
5753550012 = 331033377175710001
5773350102 = 333315713771700100
7305500102 = 533703317111000100
7553501002 = 570553773570010000
7570337512 = 573100100153130001
10000000002 = 1000000000000000000
10005505012 = 1001101305051351001
10050550012 = 1010135555035110001
10550501002 = 1113130713510010000
13050100002 = 1703051100100000000
13050500012 = 1703155505110100001
13153150102 = 1730053575531300100
55050100002 = 30305135100100000000
55050500012 = 30305575513510100001
55055001002 = 30310531351100010000
55075500012 = 30333107013515100001
55077500012 = 30335310073515500001
57533501002 = 33101037373170010000
57535500102 = 33103337717571000100
57707305012 = 33301330515171711001
57733501002 = 33331571377170010000
73017500012 = 53315553077103500001
73055001002 = 53370331711100010000
75533550012 = 57053171771131710001
75535010002 = 57055377357001000000
75703375102 = 57310010015313000100
100000000002 = 100000000000000000000
100055050102 = 100110130505135100100
100500305012 = 101003113071030311001
100505500102 = 101013555503511000100
101507505012 = 103037735733551751001
105050050012 = 110355130071035010001
105505010002 = 111313071351001000000
105533550012 = 111373301777131710001
115373537512 = 133110531575713770001
130501000002 = 170305110010000000000
130505000102 = 170315550511010000100
131531501002 = 173005357553130010000
337305505012 = 1137750037100511351001
550501000002 = 3030513510010000000000
550505000102 = 3030557551351010000100
550550010002 = 3031053135110001000000
550755000102 = 3033310701351510000100
550775000102 = 3033531007351550000100
575335010002 = 3310103737317001000000
575355001002 = 3310333771757100010000
577073050102 = 3330133051517171100100
577335010002 = 3333157137717001000000
730175000102 = 5331555307710350000100
730550010002 = 5337033171110001000000
755335500102 = 5705317177113171000100
755350100002 = 5705537735700100000000
757033751002 = 5731001001531300010000
1000000000002 = 10000000000000000000000
1000005505012 = 10000110100503051351001
1000550501002 = 10011013050513510010000
1000575335012 = 10011510010303737317001
1000577335012 = 10011550033357137717001
1005003050102 = 10100311307103031100100
1005055001002 = 10101355550351100010000
1005573337512 = 10111777371110003730001
1015075050102 = 10303773573355175100100
1050500500102 = 11035513007103501000100
1055050100002 = 11131307135100100000000
1055050500012 = 11131315575713510100001
1055335500102 = 11137330177713171000100
1075050500012 = 11557335775717510100001
1153735375102 = 13311053157571377000100
1155730537512 = 13357130753331535170001
1170501305012 = 13700733050301130511001
1305010000002 = 17030511001000000000000
1305033755012 = 17031131017155007001001
1305050001002 = 17031555051101000010000
1315315010002 = 17300535755313001000000
1333107315012 = 17771751133331713713001
1753000500012 = 30730107530353100100001
1770077315012 = 31331737011130107713001
1775150050012 = 31511577000505055010001
3171077315012 = 100557313377710307713001
3373055050102 = 113775003710051135100100
5505000500012 = 303050305051103500100001
5505010000002 = 303051351001000000000000
5505050001002 = 303055755135101000010000
5505500100002 = 303105313511000100000000
5507550001002 = 303331070135151000010000
5507750001002 = 303353100735155000010000
5753350100002 = 331010373731700100000000
5753550010002 = 331033377175710001000000
5770730501002 = 333013305151717110010000
5773350100002 = 333315713771700100000000
7301750001002 = 533155530771035000010000
7305500100002 = 533703317111000100000000
7333155537512 = 537751701373135770170001
7553355001002 = 570531717711317100010000
7553501000002 = 570553773570010000000000
7570337510002 = 573100100153130001000000
10000000000002 = 1000000000000000000000000
10000055050102 = 1000011010050305135100100
10000505505012 = 1000101103557353151351001
10000550550012 = 1000110113033053135110001
10005050500012 = 1001010355077503510100001
10005505010002 = 1001101305051351001000000
10005753350102 = 1001151001030373731700100
10005773350102 = 1001155003335713771700100
10007753550012 = 1001551311177377575710001
10050030501002 = 1010031130710303110010000
10050550010002 = 1010135555035110001000000
10055000505012 = 1011030351557513550351001
10055733375102 = 1011177737111000373000100
10150750501002 = 1030377357335517510010000
10350701305012 = 1071370175055357170511001
10505005001002 = 1103551300710350100010000
10550501000002 = 1113130713510010000000000
10550505000102 = 1113131557571351010000100
10553355001002 = 1113733017771317100010000
10553377550012 = 1113737777130550700510001
10750505000102 = 1155733577571751010000100
11537353751002 = 1331105315757137700010000
11557305375102 = 1335713075333153517000100
11705013050102 = 1370073305030113051100100
13050100000002 = 1703051100100000000000000
13050337550102 = 1703113101715500700100100
13050500010002 = 1703155505110100001000000
13153150100002 = 1730053575531300100000000
13331073150102 = 1777175113333171371300100
17530005000102 = 3073010753035310010000100
17700773150102 = 3133173701113010771300100
17751500500102 = 3151157700050505501000100
31710773150102 = 10055731337771030771300100
31733501305012 = 10070151050750713730511001
31735005515012 = 10071105750377151153353001
33730550501002 = 11377500371005113510010000
37017773755012 = 13703155737771071555001001
37031113337512 = 13713033550155110111730001
55050005000102 = 30305030505110350010000100
55050100000002 = 30305135100100000000000000
55050500010002 = 30305575513510100001000000
55055001000002 = 30310531351100010000000000
55055733337512 = 30311337733310100035730001
55075500010002 = 30333107013515100001000000
55077500010002 = 30335310073515500001000000
57533501000002 = 33101037373170010000000000
57535500100002 = 33103337717571000100000000
57535517305012 = 33103357515551051733711001
57707305010002 = 33301330515171711001000000
57733501000002 = 33331571377170010000000000
73017500010002 = 53315553077103500001000000
73055001000002 = 53370331711100010000000000
73331555375102 = 53775170137313577017000100
75533550010002 = 57053171771131710001000000
75535010000002 = 57055377357001000000000000
75703375100002 = 57310010015313000100000000
75703705535012 = 57310510317315037103357001
100000000000002 = 100000000000000000000000000
100000075535012 = 100000151070077055377357001
100000550501002 = 100001101005030513510010000
100000550550012 = 100001101103051053135110001
100005050050012 = 100010100355050051035010001
100005055050102 = 100010110355735315135100100
100005505500102 = 100011011303305313511000100
100037551500012 = 100075117101171530010300001
100050505000102 = 100101035507750351010000100
100055050100002 = 100110130505135100100000000
100057533501002 = 100115100103037373170010000
100057733501002 = 100115500333571377170010000
100077535500102 = 100155131117737757571000100
100155737305012 = 100311717151101717777711001
100500305010002 = 101003113071030311001000000
100505500100002 = 101013555503511000100000000
100550005050102 = 101103035155751355035100100
100553717535012 = 101110501101105775505757001
100557333751002 = 101117773711100037300010000
101507505010002 = 103037735733551751001000000
101735515505012 = 103501151150701301153351001
103507013050102 = 107137017505535717051100100
105050050010002 = 110355130071035010001000000
105505000500012 = 111313051305071103500100001
105505010000002 = 111313071351001000000000000
105505050001002 = 111313155757135101000010000
105533550010002 = 111373301777131710001000000
105533775500102 = 111373777713055070051000100
107503515000012 = 115570057373573750703000001
107503535305012 = 115570101030755315137311001
107505050001002 = 115573357757175101000010000
115373537510002 = 133110531575713770001000000
115573053751002 = 133571307533315351700010000
117050130501002 = 137007330503011305110010000
130501000000002 = 170305110010000000000000000
130503375501002 = 170311310171550070010010000
130505000100002 = 170315550511010000100000000
131531501000002 = 173005357553130010000000000
133105737305012 = 177171373035103307777711001
133155305315012 = 177303353335335303553313001
133310731501002 = 177717511333317137130010000
133317555315012 = 177735705551707511003313001
173503755335012 = 301035531153510110373317001
175300050001002 = 307301075303531001000010000
177007731501002 = 313317370111301077130010000
177515005000012 = 315115770001535753001000001
177515005001002 = 315115770005050550100010000
317107731501002 = 1005573133777103077130010000
317335013050102 = 1007015105075071373051100100
317350055150102 = 1007110575037715115335300100
331715717305012 = 1100353171071773107773711001
333700030050012 = 1113557100553775770031010001
337305505000012 = 1137750037033117711101000001
337305505010002 = 1137750037100511351001000000
370177737550102 = 1370315573777107155500100100
370311133375102 = 1371303355015511011173000100
370550101305012 = 1373073775771531737050511001
550500050000012 = 3030503050500135100010000001
550500050001002 = 3030503050511035001000010000
550500750000012 = 3030510757505735100150000001
550501000000002 = 3030513510010000000000000000
550505000100002 = 3030557551351010000100000000
550550010000002 = 3031053135110001000000000000
550550050000012 = 3031053575550135110010000001
550557333375102 = 3031133773331010003573000100
550755000100002 = 3033310701351510000100000000
550775000100002 = 3033531007351550000100000000
575335010000002 = 3310103737317001000000000000
575337557500012 = 3310133050700773130011500001
575355001000002 = 3310333771757100010000000000
575355173050102 = 3310335751555105173371100100
577073050100002 = 3330133051517171100100000000
577335010000002 = 3333157137717001000000000000
730070757335012 = 5330033107157150577173717001
730157553755012 = 5331300533055003177511001001
730175000100002 = 5331555307710350000100000000
730550010000002 = 5337033171110001000000000000
730550050000012 = 5337033755550171110010000001
731505555037512 = 5351003770507355717375070001
733315553751002 = 5377517013731357701700010000
755335500100002 = 5705317177113171000100000000
755350100000002 = 5705537735700100000000000000
757015015505012 = 5730717337000505307053351001
757033751000002 = 5731001001531300010000000000
757037055350102 = 5731051031731503710335700100
1000000000000002 = 10000000000000000000000000000
1000000755350102 = 10000015107007705537735700100
1000005505010002 = 10000110100503051351001000000
1000005505500102 = 10000110110305105313511000100
1000050005505012 = 10001000135105705313051351001
1000050075315012 = 10001001531375571733507313001
1000050500500102 = 10001010035505005103501000100
1000050550501002 = 10001011035573531513510010000
1000055055001002 = 10001101130330531351100010000
1000375515000102 = 10007511710117153001030000100
1000505050001002 = 10010103550775035101000010000
1000505050050012 = 10010103551755730151035010001
1000550501000002 = 10011013050513510010000000000
1000575335010002 = 10011510010303737317001000000
1000577335010002 = 10011550033357137717001000000
1000775355001002 = 10015513111773775757100010000
1001501750150012 = 10030057555535330550575030001
1001537355037512 = 10030770735355313573735070001
1001557373050102 = 10031171715110171777771100100
1005003050100002 = 10100311307103031100100000000
1005055001000002 = 10101355550351100010000000000
1005500050501002 = 10110303515575135503510010000
1005537175350102 = 10111050110110577550575700100
1005573337510002 = 10111777371110003730001000000
1015075050100002 = 10303773573355175100100000000
1015137317315012 = 10305037730055153015555713001
1015735071537512 = 10317177355513105573153370001
1017355077500012 = 10350113537150513533515500001
1017355155050102 = 10350115115070130115335100100
1035070130501002 = 10713701750553571705110010000
1035135310337512 = 10715051107075331370701130001
1050500050050012 = 11035503551550735150035010001
1050500500100002 = 11035513007103501000100000000
1055050005000102 = 11131305130507110350010000100
1055050100000002 = 11131307135100100000000000000
1055050500010002 = 11131315575713510100001000000
1055335500100002 = 11137330177713171000100000000
1055337755001002 = 11137377771305507005100010000
1075035150000102 = 11557005737357375070300000100
1075035353050102 = 11557010103075531513731100100
1075050500010002 = 11557335775717510100001000000
1153735375100002 = 13311053157571377000100000000
1155730537510002 = 13357130753331535170001000000
1170501305010002 = 13700733050301130511001000000
1170537113337512 = 13701571337005107311311730001
1305010000000002 = 17030511001000000000000000000
1305031705037512 = 17031077511531105035105070001
1305033755010002 = 17031131017155007001001000000
1305050001000002 = 17031555051101000010000000000
1315315010000002 = 17300535755313001000000000000
1330705501505012 = 17707771317357001713750551001
1331057373050102 = 17717137303510330777771100100
1331553053150102 = 17730335333533530355331300100
1333107315010002 = 17771751133331713713001000000
1333175553150102 = 17773570555170751100331300100
1735037553350102 = 30103553115351011037331700100
1753000500010002 = 30730107530353100100001000000
1770077315010002 = 31331737011130107713001000000
1771375315315012 = 31377705077073511010555313001
1775150050000102 = 31511577000153575300100000100
1775150050010002 = 31511577000505055010001000000
1777001730537512 = 31577351503333053000735170001
3171077315010002 = 100557313377710307713001000000
3173337573755012 = 100700713570053335315515001001
3173350130501002 = 100701510507507137305110010000
3173500551501002 = 100711057503771511533530010000
3317155005500012 = 110035173305137713733501100001
3317157173050102 = 110035317107177310777371100100
3337000300500102 = 111355710055377577003101000100
3373055050000102 = 113775003703311771110100000100
3373055050100002 = 113775003710051135100100000000
3701777375501002 = 137031557377710715550010010000
3703111333751002 = 137130335501551101117300010000
3705501013050102 = 137307377577153173705051100100
5505000500000102 = 303050305050013510001000000100
5505000500010002 = 303050305051103500100001000000
5505007500000102 = 303051075750573510015000000100
5505010000000002 = 303051351001000000000000000000
5505050001000002 = 303055755135101000010000000000
5505500005000012 = 303105303050551101350001000001
5505500100000002 = 303105313511000100000000000000
5505500500000102 = 303105357555013511001000000100
5505573333751002 = 303113377333101000357300010000
5507313333337512 = 303305001515571155351555730001
5507550001000002 = 303331070135151000010000000000
5507750001000002 = 303353100735155000010000000000
5507755533550012 = 303353710173507553307131710001
5753350100000002 = 331010373731700100000000000000
5753375575000102 = 331013305070077313001150000100
5753550010000002 = 331033377175710001000000000000
5753551730501002 = 331033575155510517337110010000
5770730501000002 = 333013305151717110010000000000
5773350100000002 = 333315713771700100000000000000
5777171715535012 = 333757130307777305037705357001
7110350017515012 = 505570773715757030137755753001
7111350575335012 = 505713070053175777373737317001
7111751577535012 = 505770105005717033517077757001
7153710755515012 = 511755775735711351771303353001
7300707573350102 = 533003310715715057717371700100
7301050003755012 = 533053311573310315351001001001
7301575537550102 = 533130053305500317751100100100
7301750001000002 = 533155530771035000010000000000
7305500100000002 = 533703317111000100000000000000
7305500500000102 = 533703375555017111001000000100
7315055550375102 = 535100377050735571737507000100
7333155537510002 = 537751701373135770170001000000
7550500050000012 = 570100510050501535100010000001
7550517005515012 = 570103070505713535507553353001
7553355001000002 = 570531717711317100010000000000
7553501000000002 = 570553773570010000000000000000
7570150155050102 = 573071733700050530705335100100
7570337510000002 = 573100100153130001000000000000
7570370553501002 = 573105103173150371033570010000