Mixing Bowls

Problem Number: 
36
Type of Problem: 
Problem Category: 
Input: 
Random Input
Critical Input
0
Critical Input: 
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ga GA 2 CF gaa GB 2 DM gba GC 2 BX gca GD 2 gda gdb GE 2 HS gea GF 2 CJ gfa GG 2 DY gga GH 2 AI gha GI 2 DX gia GJ 2 GS gja GK 2 FJ gka GL 2 GF gla GM 2 BY gma GN 2 KK gna GO 2 FX goa GP 2 KJ gpa GQ 2 HG gqa GR 2 JW gra GS 2 BN gsa GT 2 DQ gta GU 2 U gua GV 2 CO gva GW 2 AH gwa GX 2 CT gxa GY 2 JM gya GZ 2 JQ gza H 2 IH ha HA 2 GY haa HB 2 GI hba HC 2 GW hca HD 2 JU hda HE 2 ES hea HF 2 BG hfa HG 2 HQ hga HH 2 AR hha HI 2 IJ hia HJ 2 CQ hja HK 2 JC hka HL 7 GD AX CZ DU FW KO CH HM 2 DB hma HN 2 BF hna HO 2 Z hoa HP 2 D hpa HQ 2 IS hqa HR 2 T hra HS 2 KU hsa HT 2 DS hta HU 2 IL hua HV 2 CI hva HW 2 KW hwa HX 2 CX hxa HY 2 GL hya HZ 2 IE hza I 2 AB ia IA 2 EB iaa IB 2 EE iba IC 2 HR ica ID 2 BS ida IE 2 DN iea IF 2 JY ifa IG 2 GP iga IH 2 IW iha II 2 GQ iia IJ 2 CG ija IK 2 CK ika IL 2 GC ila IM 2 FO ima IN 2 AG ina IO 2 EC ioa IP 2 HM ipa IQ 2 EX iqa IR 2 FU ira IS 2 CS isa IT 2 HK ita IU 2 BU iua IV 2 CU iva IW 2 FB iwa IX 2 HV ixa IY 2 HB iya IZ 2 KT iza J 2 HC ja JA 2 R jaa JB 2 KI jba JC 2 IG jca JD 2 IF jda JE 2 IK jea JF 2 JR jfa JG 2 CB jga JH 2 DH jha JI 2 DO jia JJ 2 AW jja JK 2 P jka JL 2 JS jla JM 2 DR jma JN 2 HX jna JO 2 EG joa JP 2 FY jpa JQ 2 BK jqa JR 2 FE jra JS 2 EQ jsa JT 2 CY jta JU 2 IV jua JV 2 DV jva JW 2 JH jwa JX 2 JN jxa JY 2 FG jya K 2 CA ka KA 2 FS kaa KB 2 IO kba KC 2 JK kca KD 2 HD kda KE 2 GK kea KF 2 BO kfa KG 2 BB kga KH 2 GZ kha KI 2 HF kia KJ 2 EA kja KK 2 HE kka KL 2 FC kla KM 2 AZ kma KN 2 GB kna KO 2 koa kob KP 2 GA kpa KQ 2 HP kqa KR 2 BI kra KS 2 HZ ksa KT 2 ER kta KU 2 HN kua KV 2 F kva KW 2 JD kwa L 2 KF la M 2 EI ma N 2 ED na O 2 A oa P 2 BQ pa Q 2 FV qa R 2 CD ra S 2 KN sa T 2 CV ta U 2 DK ua V 2 GN va W 2 IA wa X 2 JV xa Y 2 L ya Z 2 EY za 700 NB 2 BJ nba A 2 OR aa AA 2 LL aaa AB 2 YZ aba AC 2 CK aca AD 2 VK ada AE 2 CR aea AF 2 W afa AG 2 YB aga AH 2 VU aha AI 2 XD aia AJ 2 SK aja AK 2 E aka AL 2 VJ ala AM 2 NH ama AN 2 VM ana AO 2 YD aoa AP 2 KD apa AQ 2 XH aqa AR 2 PM ara AS 2 AD asa AT 2 ZV ata AU 2 IY aua AV 2 NK ava AW 2 VY awa AX 2 GQ axa AY 2 LA aya AZ 2 GC aza B 2 EE ba BA 2 CN baa BB 2 AK bba BC 2 CI bca BD 2 UN bda BE 2 QQ bea BF 2 DJ bfa BG 2 FW bga BH 2 NC bha BI 2 HS bia BJ 2 HB bja BK 2 RI bka BL 2 CS bla BM 2 CU bma BN 2 RG bna BO 2 KJ boa BP 2 VV bpa BQ 2 IN bqa BR 2 AJ bra BS 2 TJ bsa BT 2 RJ bta BU 2 AX bua BV 2 DE bva BW 2 YT bwa BX 2 CL bxa BY 2 YY bya BZ 2 TY bza C 2 WV ca CA 2 OW caa CB 2 NA cba CC 2 AM cca CD 2 FU cda CE 2 BZ cea CF 2 PO cfa CG 2 OI cga CH 2 SI cha CI 2 B cia CJ 2 DR cja CK 2 YW cka CL 2 UA cla CM 2 JS cma CN 2 NF cna CO 2 EZ coa CP 2 RN cpa CQ 2 EJ cqa CR 2 IG cra CS 2 QM csa CT 2 JI cta CU 2 WW cua CV 2 VH cva CW 2 EF cwa CX 2 ZI cxa CY 2 KO cya CZ 2 ZX cza D 2 GL da DA 2 FH daa DB 2 ZU dba DC 2 NG dca DD 2 Z dda DE 2 QP dea DF 2 NS dfa DG 2 ZF dga DH 2 TX dha DI 2 TO dia DJ 2 DZ dja DK 2 UH dka DL 2 TD dla DM 2 OV dma DN 2 NP dna DO 2 BS doa DP 2 VR dpa DQ 2 EW dqa DR 2 UZ dra DS 2 EU dsa DT 2 CT dta DU 2 XA dua DV 2 LY dva DW 2 NM dwa DX 2 YP dxa DY 2 II dya DZ 2 TM dza E 2 MG ea EA 2 AC eaa EB 2 JH eba EC 2 JG eca ED 2 PP eda EE 2 UE eea EF 2 BN efa EG 2 MK ega EH 2 LS eha EI 2 OQ eia EJ 2 IB eja EK 2 RE eka EL 2 WK ela EM 2 KI ema EN 2 YI ena EO 2 TV eoa EP 2 VO epa EQ 2 QW eqa ER 2 QH era ES 2 DT esa ET 2 SX eta EU 2 NY eua EV 2 BH eva EW 2 WF ewa EX 2 XW exa EY 2 WX eya EZ 2 MS eza F 2 WM fa FA 2 BA faa FB 2 WQ fba FC 2 ZB fca FD 2 FO fda FE 2 YM fea FF 2 WD ffa FG 2 RC fga FH 2 ZA fha FI 2 MN fia FJ 2 KM fja FK 2 SH fka FL 2 DG fla FM 2 DQ fma FN 2 EL fna FO 2 QD foa FP 2 ZH fpa FQ 2 XO fqa FR 2 LO fra FS 2 EQ fsa FT 2 RV fta FU 2 CB fua FV 2 XU fva FW 2 VC fwa FX 2 OX fxa FY 2 KH fya FZ 2 DI fza G 2 EK ga GA 2 EX gaa GB 2 RR gba GC 2 RO gca GD 2 YE gda GE 2 XR gea GF 2 EY gfa GG 2 JC gga GH 2 WU gha GI 2 QL gia GJ 2 KZ gja GK 2 JQ gka GL 2 SE gla GM 2 XB gma GN 2 AB gna GO 2 HF goa GP 2 BP gpa GQ 2 VE gqa GR 2 KS gra GS 2 F gsa GT 2 RU gta GU 2 JV gua GV 2 JT gva GW 2 HN gwa GX 2 TZ gxa GY 2 XC gya GZ 2 AO gza H 2 SG ha HA 2 BB haa HB 2 MW hba HC 2 MV hca HD 2 JK hda HE 2 UX hea HF 2 QO hfa HG 2 BG hga HH 2 LP hha HI 2 PN hia HJ 2 XP hja HK 2 VZ hka HL 2 QC hla HM 2 LI hma HN 2 JO hna HO 2 ZD hoa HP 2 QE hpa HQ 2 AS hqa HR 2 HA hra HS 2 RX hsa HT 2 OM hta HU 2 KP hua HV 2 ZK hva HW 2 VN hwa HX 2 PW hxa HY 2 JE hya HZ 2 UG hza I 2 HE ia IA 2 LT iaa IB 2 L iba IC 2 BI ica ID 2 OT ida IE 2 HP iea IF 2 FI ifa IG 2 LM iga IH 2 WR iha II 2 AV iia IJ 2 BF ija IK 2 G ika IL 2 CE ila IM 2 ZT ima IN 2 S ina IO 2 AU ioa IP 2 HO ipa IQ 2 YQ iqa IR 2 V ira IS 2 NV isa IT 2 LX ita IU 2 BV iua IV 2 HY iva IW 2 QU iwa IX 2 ZJ ixa IY 2 FR iya IZ 2 GN iza J 2 IW ja JA 2 YR jaa JB 2 IH jba JC 2 AG jca JD 2 FV jda JE 2 IE jea JF 2 JY jfa JG 2 OU jga JH 2 TS jha JI 2 LU jia JJ 2 WO jja JK 2 GZ jka JL 2 CX jla JM 2 UU jma JN 2 ZE jna JO 2 DW joa JP 2 XQ jpa JQ 2 ES jqa JR 2 PF jra JS 2 M jsa JT 2 YG jta JU 2 GE jua JV 2 DS jva JW 2 EB jwa JX 2 KT jxa JY 2 PK jya JZ 2 NZ jza K 2 D ka KA 2 RF kaa KB 2 ZW kba KC 2 JM kca KD 2 VI kda KE 2 YS kea KF 2 TF kfa KG 2 PJ kga KH 2 FM kha KI 2 FF kia KJ 2 OP kja KK 2 MZ kka KL 2 HC kla KM 2 NI kma KN 2 CP kna KO 2 SV koa KP 2 GT kpa KQ 2 J kqa KR 2 IA kra KS 2 JL ksa KT 2 DC kta KU 2 GJ kua KV 2 RS kva KW 2 TP kwa KX 2 CO kxa KY 2 MA kya KZ 2 CM kza L 2 MQ la LA 2 LV laa LB 2 ON lba LC 2 KA lca LD 2 HK lda LE 2 EV lea LF 2 ED lfa LG 2 BY lga LH 2 KY lha LI 2 PG lia LJ 2 JF lja LK 2 QY lka LL 2 RL lla LM 2 NQ lma LN 2 DP lna LO 2 CF loa LP 2 YX lpa LQ 2 U lqa LR 2 VS lra LS 2 MH lsa LT 2 AW lta LU 2 MR lua LV 2 BL lva LW 2 PD lwa LX 2 FC lxa LY 2 BC lya LZ 2 XZ lza M 2 RP ma MA 2 MY maa MB 2 XS mba MC 2 WY mca MD 2 HX mda ME 2 UR mea MF 2 LH mfa MG 2 AI mga MH 2 OL mha MI 2 FD mia MJ 2 OZ mja MK 2 K mka ML 2 OO mla MM 2 P mma MN 2 AP mna MO 2 MC moa MP 2 RW mpa MQ 2 IK mqa MR 2 SN mra MS 2 FK msa MT 2 AY mta MU 2 LN mua MV 2 VF mva MW 2 RA mwa MX 2 IP mxa MY 2 UW mya MZ 2 BM mza N 2 YL na NA 2 KF naa NC 2 SJ nca ND 2 ZG nda NE 2 EA nea NF 2 WS nfa NG 2 IO nga NH 2 R nha NI 2 I nia NJ 2 GM nja NK 2 Y nka NL 2 SZ nla NM 2 OJ nma NN 2 DL nna NO 2 DH noa NP 2 YO npa NQ 2 LQ nqa NR 2 EM nra NS 2 FZ nsa NT 2 WJ nta NU 2 TT nua NV 2 UL nva NW 2 PH nwa NX 2 SP nxa NY 2 WT nya NZ 2 JN nza O 2 IS oa OA 2 BD oaa OB 2 PB oba OC 2 IL oca OD 2 UF oda OE 2 FJ oea OF 2 SW ofa OG 2 AQ oga OH 2 WA oha OI 2 KR oia OJ 2 GP oja OK 2 KG oka OL 2 ZO ola OM 2 IT oma ON 2 DO ona OO 2 AR ooa OP 2 HM opa OQ 2 DY oqa OR 2 SD ora OS 2 KW osa OT 2 PI ota OU 2 IF oua OV 2 MX ova OW 2 GB owa OX 2 VW oxa OY 2 ZP oya OZ 2 LZ oza P 2 PA pa PA 2 LF paa PB 2 UV pba PC 2 FL pca PD 2 LD pda PE 2 PX pea PF 2 XT pfa PG 2 BU pga PH 2 QG pha PI 2 WN pia PJ 2 OY pja PK 2 GH pka PL 2 WB pla PM 2 FE pma PN 2 AA pna PO 2 FS poa PP 2 TR ppa PQ 2 T pqa PR 2 EG pra PS 2 VA psa PT 2 UP pta PU 2 DA pua PV 2 IV pva PW 2 WH pwa PX 2 GS pxa PY 2 SQ pya PZ 2 BO pza Q 2 TB qa QA 2 GR qaa QB 2 ER qba QC 2 DB qca QD 2 WL qda QE 2 GG qea QF 2 GV qfa QG 2 H qga QH 2 US qha QI 2 FB qia QJ 2 ZC qja QK 2 DK qka QL 2 ZL qla QM 2 OG qma QN 2 MO qna QO 2 ZR qoa QP 2 QS qpa QQ 2 XM qqa QR 2 OB qra QS 2 TU qsa QT 2 FN qta QU 2 GI qua QV 2 MP qva QW 2 BW qwa QX 2 GA qxa QY 2 JW qya QZ 2 KU qza R 2 OC ra RA 2 YH raa RB 2 RZ rba RC 2 CW rca RD 2 DV rda RE 2 PV rea RF 2 LJ rfa RG 2 TK rga RH 2 FX rha RI 2 QN ria RJ 2 UQ rja RK 2 WI rka RL 2 FG rla RM 2 OK rma RN 2 RK rna RO 2 LG roa RP 2 GD rpa RQ 2 KL rqa RR 2 ZS rra RS 2 CA rsa RT 2 MU rta RU 2 FA rua RV 2 XJ rva RW 2 DU rwa RX 2 FT rxa RY 2 A rya RZ 2 SF rza S 2 WC sa SA 2 VB saa SB 2 JR sba SC 2 MB sca SD 2 BK sda SE 2 AE sea SF 2 UD sfa SG 2 IJ sga SH 2 WZ sha SI 2 QX sia SJ 2 JD sja SK 2 RY ska SL 2 GX sla SM 2 DN sma SN 2 TE sna SO 2 XN soa SP 2 PQ spa SQ 2 BQ sqa SR 2 SS sra SS 2 ssa ssb ST 2 CJ sta SU 2 XV sua SV 2 ZN sva SW 2 TA swa SX 2 BE sxa SY 2 SL sya SZ 2 HH sza T 2 PU ta TA 2 AH taa TB 2 KX tba TC 2 GW tca TD 2 XK tda TE 2 AN tea TF 2 JX tfa TG 2 ZQ tga TH 2 QA tha TI 2 LK tia TJ 2 MT tja TK 2 YN tka TL 2 QK tla TM 2 HI tma TN 2 XL tna TO 2 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zua ZV 2 RD zva ZW 2 OA zwa ZX 2 QR zxa 10 C 9 I F H G D J A E B A 2 aa ab B 2 ba bb D 2 da db E 2 ea eb F 2 fa fb G 2 ga gb H 2 ha hb I 2 ia ib J 2 ja jb
Random Input: 
10 3 SOUP 3 STOCK salt water STOCK 2 chicken VEGETABLES VEGETABLES 2 celery onions 5 MILKSHAKE 4 milk icecream FLAVOR FRUIT CHOCOLATE 2 cocoa syrup FLAVOR 2 SPICES CHOCOLATE FRUIT 2 banana berries SPICES 2 nutmeg cinnamon 1 A 2 aa ab 2 B 2 A ba A 2 aa ab 3 C 2 A B A 2 aa ab B 2 ba bb 8 C 2 D E A 2 aa ab B 2 ba bb D 3 H G B E 2 F ea F 2 A fa G 2 ga gb H 2 ha hb 10 J 3 E F G A 2 aa ab B 2 ba bb C 2 ca cb D 2 da db E 2 C ea F 2 D B G 3 H I A H 2 ha hb I 2 ia ib 7 G 2 B C A 2 aa ab B 2 D E C 2 A F D 2 da db E 2 ea eb F 2 fa fb 10 B 2 D ba A 2 J aa C 2 I ca D 2 E da E 2 G ea F 2 C fa G 2 F ga H 2 ha hb I 2 A ia J 2 H ja 10 F 9 A J C E D I B G H A 2 aa ab B 2 ba bb C 2 ca cb D 2 da db E 2 ea eb G 2 ga gb H 2 ha hb I 2 ia ib J 2 ja jb
Problem Id: 
36