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V%(F)F14((V%(F)F1)4)3280ND P%F1KK:1200:A%13170NS P%F1EX%KK:1200:A%13170 OV FF2EX%K2945&Mh M%1:P%IC1:1200:A%1M%06Mw EX%1:2870TM EX%1:M%0:(1).5M%1iM (1).5ICIC2sM 2870M ICIC2:P%IC:1200:A%12920M ICIC1:EX%1:M1:(1).5M%0M 2870M F14:V%(F)F3106M FM" P%F1:P%4P%P%410,-1,-1,-1,-1,0,-1,0,-1,0,0l$ 1,1,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0 m.3,9,9,3,31,6,15,25,3,12,28,31,3,12,22,25,0,9,25,25,37,34,31,34,0,6,12,6,0,9,28,28,28,6,15,22,34,6,15,28,0,9,2IS COMPATIBLE FOR A SOLUTION TO EXIST.":"HIT THE SPACE BAR TO BEGIN..."dkX(16384):X1276143nk6140k16368,0::TY%2200k180:200l 0,0,0,0,0,0,-1,0,0,-1,0,0,0,-1,0,0,0,-1,0,0,-1,-1,-1,-1,0,0,0,0,0,-1,0,0,0,0,-1,0,0,0,-1,0,0,-1,0,(T%2):N8S%T%+jN:Z%4:K%1Z%Z%1=jL%0Z%Z%1RjS%T%1Z%Z%1fjR%0:Z%46950vjTY%26129jI124:V%(C%(I))I:W%(E%(I))I::I124:C%(I)V%(I):E%(I)W%(I):jZ%46143Hk:"CONGRATULATIONS! THE DATA YOU ENTERED":"I18:V%(I)1:W%(I)C%(I)8(C%(I)8):W%(I)0W%(I)8Di I:5970i4I112:V%(I)1:W%(I)E%(I)12(E%(I)12):W%(I)0W%(I)12iHIiRT%0:I1N:V%(I)06040ipA%I:T%T%1izA%W%(A%):V%(A%)0:T%T%1:A%I6040i6010jI:T%T%25)C:CS(17)C:CS(14)C:CS(10)C:ES(6)C:ES(9)C:ES(13)C:ES(17)ChCAS(2):CS(11)C:CS(15)C:CS(6)C:CS(18)C:ES(7)C:ES(10)C:ES(14)C:ES(18)C:CAS(6):CS(7)C:CS(12)C:CS(16)C:CS(19)C:ES(8)C:ES(11)C:ES(15)C:ES(19)ChN8124:N1259407i0:gC%(I1%)A%:C%(I2%)A%16:C%(I3%)A%8:A%A%16:5640]gI:L%L%3(L%3):TY%35890AhI14:ES(I)AS(3):CS(I)AS(3):I:I2124:ES(I)AS(4):CS(I)AS(4):I:CAS(5):CS(9)C:CS(13)C:CS(8)C:CS(20)C:ES(5)C:ES(12)C:ES(16)C:ES(20)C:CAS(1):CS(800"f0A%24:CS(I2%)AS(5)5710;f:CS(I3%)AS(6)6950EfD5790dfNA%23:CS(I2%)AS(6)5740}fXCS(I3%)AS(2)6950fb5790flA%22:CS(I2%)AS(2)5770fvCS(I3%)AS(1)6950f5790fA%21:CS(I2%)AS(1)6950gCS(I3%)AS(5)695AS(2)6950e56303eA%3:CS(I2%)AS(2)5610LeCS(I3%)AS(6)6950Ve5630teA%4:CS(I2%)AS(6)6950eCS(I3%)AS(5)6950eC%(I1%)A%:C%(I2%)A%8:C%(I3%)A%16eV%(A%)V%(A%)1:L%L%((C%(I)1)8):Z%4:V%(A%)06950fZ%3:53%I:I1%I8:I2%I16:J%02d^CS(I1%)AS(3)5520JdhCS(I1%)AS(4)5680YdrJ%25510cd|6950dJ%J%1:A%I3%:I3%I1%:I1%I2%:I2%A%:5470dA%1:CS(I2%)AS(5)5550dCS(I3%)AS(1)6950d5630dA%2:CS(I2%)AS(1)5580 eCS(I3%)I2%:I2%A%:ES(I1%)AS(6)6950McE%(I1%)8:E%(I2%)20:ES(I2%)AS(5)5360[cJ8:5380cE%(I1%)19:E%(I2%)7:ES(I2%)AS(2)6950cJ7cZ%2:E%(I12)E%(I)5400cK%K%cV%(J)V%(J)1:V%(J)16950d"I:K%(1K%)2:Z%3:L%0:I18:IAS(5)6950bJ12:53801bES(I1%)AS(1)5280`bA%I1%:I1%I2%:I2%A%:ES(I1%)AS(1)5320bE%(I1%)6:E%(I2%)18:ES(I2%)AS(2)5300bJ6:5380bE%(I1%)17:E%(I2%)5:ES(I2%)AS(5)6950bJ5:5380bES(I1%)AS(6)5340cA%I1%:I1%I1%I2%:I2%A%:ES(I1%)AS(4)5260Qa<E%(I1%)21:E%(I2%)9:ES(I2%)AS(1)5200_aFJ9:5380aPE%(I1%)22:E%(I2%)10:ES(I2%)AS(2)5220aZJ10:5380adE%(I1%)23:E%(I2%)11:ES(I2%)AS(6)5240anJ11:5380 bxE%(I1%)24:E%(I2%)12:ES(I2%)%)13:ES(I2%)AS(1)5100(`J1:5380V`E%(I1%)2:E%(I2%)14:ES(I2%)AS(2)5120d`J2:5380`E%(I1%)3:E%(I2%)15:ES(I2%)AS(6)5140` J3:5380`E%(I1%)4:E%(I2%)16:ES(I2%)AS(5)6950`J4:5380`(ES(I1%)AS(4)5180#a2A%I1%:Q$"DO YOU WANT THE MENU AGAIN (Y/N)?":9500:Q$"'NO' ENDS THIS PROGRAM":9500:Q$:Q$"Y"9000r_5::"BYE !":_K%1:I112:V%(I)0::I112:Z%1:I1%I:I2%I12:ES(I1%)AS(3)5080_A%I1%:I1%I2%:I2%A%:ES(I1%)AS(3)5160`E%(I1%)1:E%(I2ICP%:1000:160:ICICP%:1000:ICICP%:1000:160:4400P^V%(1)V%(3)4384j^F1:V%(1)V%(2)4376r^F2^A%3V%(F):P%A%:1450:160:4100^ F1:V%(1)14388^"F2^$A%2:P%F1:1400:160:4100__07:"ALL FINISHED IN ";R%;" STEPS!":2)4)İ135Y]1050:160:ICICEX%:M%1M%:1050:KK3:SSS:F1F24((F1F2)4)İ135h]160:4400w]N%34370]F14:V%(F)04346]]P%F1:P%4P%P%4]A%V%(P%):ICF:P%1:EX%1:M%0:A%24356]M%1:P%1:ICF1:^1000:ICDO YOU WISH TO CONTINUE ('NO' RETURNS":"TO THE MENU)";:Q$:(Q$,1)"N"9000b|TY%2İ180:Z%5l|6121 }(#::Q$"THE RUBIK CUBE SOLVER":9500:Q$"(C) MARCH 1981":9500::Q$"BY":9500::Q$"STEPHEN M. GAGOLA, JR.":9500::Q$"DEPT. OF MATHEMATI ROTATED ";:Q$"+":L%2Q$"-"8{aQ$;"180 DEGREES"{::"IF YOU WISH TO CONTINUE WITH YOUR CUBE":"IN THIS MODE, THE ALGORITHM IN THIS PRO-";:"GRAM WILL CARRY YOU QUITE CLOSE TO THE":"SOLUTION. (THE SOLUTION ITSELF BEING":"IMPOSSIBLE.)"M|"":T%1Q$"ODD"Vz Q$;" NUMBER OF MOVES IS REQUIRED":" FOR THE 'CORNER CUBES.'"ez*K%07250z/II1::I;". AN 'EDGE CUBE' WILL HAVE TO BE":" FLIPPED (ANY SINGLE ONE)."zRL%07300!{WII1::I;". A 'CORNER CUBE' WILL HAVE TO BE":" (16384)1277155y7145jy16368,0::Q$;:" NOT SATISFIED IN":"YOUR CASE:"::I0:S%T%17210yII1:I;". AN ";:Q$"EVEN":S%1Q$"ODD"zQ$;" NUMBER OF MOVES IS REQUIRED":" TO RESTORE THE 'EDGE CUBES', WHILE":" AN ";:Q$"EVENNG APART THE CUBE"::"AND THEN REASSEMBLING IT, IT IS NOT"x:"ATTAINABLE FROM A STANDARD CUBE, NOR"::"CAN IT BE RESTORED TO A STANDARD CUBE."::::"THE PARTICULAR REASON(S) IN YOUR CASE"::"ARE GIVEN WHEN YOU HIT THE SPACE BAR...":16368,0y::"CAUTION:";::" ";Z%4;" OF THREE MATHEMATICAL":"INVARIANTS ARE NOT SATISFIED. HIT SPACEBAR FOR AN EXPLANATION...":16368,0w(16384)1277105w7095;x16368,0:::"ALTHOUGH THE PATTERN YOU ENTERED MAY BE"::"CONSTRUCTED BY BREAKIY ";CO$(CS(I1%));",";CO$(CS(I2%));" AND ";CO$(CS(I3%))qvX"HIT SPACE BAR TO GET BACK TO THE MENU...";:16368,0vl(16384)1277040vv7020v9000vQ$"ONE INVARIANT IS":7080vQ$"TWO INVARIANTS ARE":7080vQ$"THREE INVARIANTS ARE"wME COLORS, NAMELY ";CO$(ES(I1%));" AND ";CO$(ES(I2%)):7000uD:"A 'CORNER CUBE' CANNOT BE COLORED":CO$(CS(I1%));",";CO$(CS(I2%));" AND ";CO$(CS(I3%));" (READ COUNTER-CLOCKWISE)":70006vN:"TWO 'CORNER CUBES' CANNOT RECEIVE THE":"SAME COLORS, NAMELN) ";:D$:D$(D$,1):D$"Y"6740Ft:Q$"TESTING DATA":9500:5010wt&198:Z%6960,6970,6980,6990,7050,7060,7070t0:"NO 'EDGE CUBE' RECEIVES THE COLORS ";CO$(ES(I1%)):"AND ";CO$(ES(I2%)):7000;u::"YOU ENTERED 2 'EDGE CUBES' WITH THE":"SAD0:D$"Y"DYsD$"R"DR/sD$"G"DG?sD$"B"DBOsD$"O"DO_sD$"W"DWmsD06780sZ%1:I246900sES(I)D:6910sCS(I24)D!t184:J::" EXAMINE THE DATA YOU ENTERED CAREFULLY":"DO YOU WANT TO MAKE ANY CHANGES(Y/%49300@rT::Z%1:I4954:184::J148:IPO%(J):Z%0:184Rr|:TY%26785r}"WHAT COLOR PATCH IS DESIRED UNDER THE":"CURSOR (G,Y,R,O,B,W) ";D$:6790r:"WHAT COLOR IS THE SQUARE PATCH UNDER THE";:"CURSOR (G,Y,R,O,B,W) ";D$sD$(D$,1):",";=q K:") ?";:" ";D$:D$(D$,1):J16:D$B$(J)6480Jq<J:6360qPAS(I)BS(J):A$(I)B$(J):B$(J)"AA":I:I16:B$(I)"AA"6550qIqAS(6)BS(I):A$(6)B$(I):(23):"DO YOU WANT TO CHANGE ANYTHING (Y/N) ?";:Q$:Q$"Y"6300rIN%1:TYHT' SIDES."::T$"WHAT IS THE COLOR OF THE CENTER CUBE ON"pU$"THE ":V$(1)"'FRONT'":V$(2)"'RIGHT'":V$(3)"'TOP'":V$(4)"'BOTTOM'":V$(5)"'LEFT'":W$" SIDE (":I15p(53I):T$:U$V$(I)W$;:L0:K16:B$(K)"AA"6410qLL1:B$(K);:L7IoIN%06560]oI124:E%(I)I:C%(I)I::BS(1)G:BS(2)Y:BS(3)R:BS(4)O:BS(5)B:BS(6)W;pB$(1)"G":B$(2)"Y":B$(3)"R":B$(4)"O":B$(5)"B":B$(6)"W":::"HOLD THE CUBE SO THAT THREE SIDES ARE"::"VISIBLE, SAY THE 'TOP' , 'FRONT' AND "::"'RIG0,10,39,7,35,14,36,8,40,11,31,19,43,15,44,20,32,12,37,5,33,16,48,23,47,22,46,21,45,24nLI154:UE%(I)::I154:VE%(I)::I154:XX%(I):njI154:YY%(I)::I148:PO%(I)::CO$(R)"R":CO$(Y)"Y":CO$(G)"G":CO$(O)"O":CO$(B)"B":CO$(W)"W":90002,22,37,37,31,31,3,12,6,34,28,25m8 18,15,12,15,12,26,20,22,30,27,26,15,22,19,26,15,26,26,30,18,20,27,26,19,18,18,12,12,30,30,30,18,12,22,16,22,12,30,24,22,22,22,30,18,16,24,30,22,26,23,15,23,15,26UnB 41,13,34,6,38,9,29,17,25,1,26,2,27,3,28,4,42,18,3"                                    !!! ! ! ! ! !!!!!!!!!""" " " " " """;!%(22):Q$"HIT SPACE BAR TO CONTINUE...":9500:16368,0W#%X(16384):X1289507o%%16368,0:X205ı{&%:9000RJJ:S%1S%:T%1T%:V%(II)10,20,30,40,50,60,70,80,90,100,110,120:II:180::9350l%(39(Q$))2);Q$:!%(22):Q$"HIT SPACE BAR TO CONTINUE...":9500:16368,0ĉ#%X(16384):X1289507܉%%16368,0:X205ı&%:9000(39(Q$))2);Q$:II1(H$):Q$(H$,II,1):Q$" "9410N$Q$"-"JJ1V%(JJ)13V%(JJ):9410z$K16:Q$A$(K)JJJJ1:V%(JJ)K:9400$K:(21):"YOU MISTYPED! ";̈$"TRY AGAIN... ":198:9350$JJ24Ģ(21):"TOO LONG! ";:9395S$II:II016)AS(J):ES(I16)AS(J):ES(I8)AS(J):ES(I12)AS(J):::180$(22):" ENTER THE MOVE(S) YOU WANT PERFORMED ";:"(TYPE 'M' FOR MENU, 'S' TO SOLVE CUBE) ";H$:(H$)0ė:9350އ$X(0):(H$,1)"S"TY%2:R%0:200$(H$,1)"M"9000%$JJ1:TLE CUBES !":9505:6280T$S%0:T%0:K%0:L%0:I14:JI20:CS(I)AS(3):ES(I)AS(3):CS(J)AS(4):ES(J)AS(4):J94I(I2)(8I19):ES(I4)AS(J):CS(I8)AS(J):CS(I12)AS(J):ІV$I124:C%(I)I:E%(I)I:?Y$I14:JI(I2)(92I):CS(I4)AS(J):CS(ID OF ENTERING THE COLOR PATCHES"::"OF YOUR CUBE (WHICH SHOULD BE RESTORED"#:"TO ITS ORIGINAL POSITION) YOU SHOULD"::"ENTER IN THE COLOR PATCHES OF YOUR"::"DESIRED PATTERN. TAKE CARE TO MAKE"::"SURE YOUR PATTERN ACCOUNTS FOR ALL THE"::"LITENTER ARE"::"IRRELEVENT."x#:"ALSO REMEMBER THE RIGHT HAND RULE !!"::"HIT SPACE BAR TO GET BACK TO THE MENU...";#16368,0:16384,128:9000L#:" THIS PART OF THE PROGRAM PROCEEDS"::"EXACTLY AS IN SOLVING THE CUBE, EXCEPT"::"INSTEA FOLLOWED BY ROTATING FACE W":"-90 DEG,FOLLOWED BY ROTATING FACE O +90":"DEG, FOLLOWED FINALLY BY ROTATING FACE R":"-90 DEG."#:" REMEMBER THAT A FACE IS DETERMINED"::"BY THE COLOR PATCH AT ITS CENTER, AND"::"THE OTHER COLORS AROUND THE CCTION OF -90 DEG."#::" OPERATIONS MAY BE STRUNG TOGETHER"::"AND THE ORDER IN WHICH THEY ARE APPLIED ":"IS FROM LEFT TO RIGHT...":9505#:" THUS THE SEQUENCE: O O W- O R-":"REFERS TO THE OPERATION OF ROTATING FACE":"O 180 DEG,z  SIGN..."k#9505::" IF YOU POINT THE THUMB OF YOUR"::"RIGHT HAND AWAY FROM THE COLOR PATCH AT"#:"THE CENTER, YOUR FINGERS CURL TOWARD +90":"DEG, WHILE IF YOU POINT YOUR THUMB IN"::"TOWARD THE CENTER, YOUR FINGERS CURL IN"::"THE DIRETHE SQUARE AT ITS CENTER.":"THE OPERATION OF ROTATING THAT FACE +90" #"DEGREES OR -90 DEGREES IS DENOTED BY X":"OR X-, WHERE X IS THE COLOR AT THE"::"CENTER OF THE FACE (X IS G,Y,R,O,W OR B)":"THE RIGHT HAND RULE IS USED TO DETERMINE":"THEESTORE IT TO ITS"::"ORIGINAL PATTERN, OR ELSE (STARTING WITH"}#"A 'SOLVED' CUBE) END UP AT SOME DESIRED"::"PATTERN. THE NOTATION USED TO DESCRIBE"::"THE MOVES IS AS FOLLOWS:":9505F#:" EACH FACE IS DETERMINED BY THE"::"COLOR PATCH OF WHERE YOU WANT TO BE."@~_#Q$:Q$(Q$,1):TY%(Q$):TY%19080P~i#TY%26280`~n#TY%39205p~o#TY%46280~p#TY%54405~s#9055?x#:" THIS PROGRAM ASSUMES THAT YOU ARE"::"FAMILIAR WITH THE 'RUBIK CUBE' AND THAT"::"YOU WANT EITHER TO RCS":9500}<#Q$"TEXAS A & M UNIVERSITY":9500:Q$"COLLEGE STATION, TX. 77801":9500:(15):"1. DIRECTIONS"::"2. SOLUTION FOR A 'RANDOMIZED' CUBE"::"3. MAKE YOUR OWN PATTERN"~A#:"4. TWIST YOUR OWN CUBE"::"5. 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