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This will determine whether or not u=v= R-related to 1.ISis NOTYour word u Your word v The words u and v are EQUAL in M. Stack: Remaining= State=:Step You will see the attempt to read u in SC(1) step-by-step.Enter the word u which you wish to try to read in SC(1). Next (or num of steps): but not all of u. Therefore, u is not R-related to 1. letters of u can be read in SC(1), The first u is equivalent to 1 under Green's R-relation.Therefore, u is NOT >= 1. However, this does mean . attained is not the accept state, All of u can be read inside SC(1), but the final state SC(1) accepts u. Therefore, u = 1.Your monoid is M=graph of 1: the language of geodesic words in the Schutzenberger The following is the cone type automaton. It recognizes Welcome to 'spar'. This program computes the PDA associated with the Schutzenberger complex of 1 for inverse monoids of the form M=Inv, where w is a sparse word, and allows you to test whether words are accepted by this PDA. (Note: When this program asks for input, you may respond with ? or 'help' to get more information on what kind of response is required. Also, you may run this program by giving operands and commands on the command line and in files; type 'spar help' at the command line for more information.) Enter your relator w: If you wish to stop this program, enter quit .at least 2. Please enter a sparse relator of length , has length Your relator, relator.Please enter a cyclically reduced and sparse , is not cyclically reduced. overlaps itself., is not sparse because the pointed piece overlap. and , is not sparse because the pointed pieces Please enter a sparse relator..M=Inv, w= I have computed the Schutzenberger complex of 1 for What next (1:list,2:u>=1,3:u=v,4:geo,8:newrel,9:quit)? 981234--helpCommands for spar operands/commandsUsage: |sparconf.spar)Too few arguments (Bad command: Bad argument: Final operand list:-list-showitempos2 > len2n > max_size ()pos > length ()pos > lenlen - n1 > max_size () - n2out of memoryInput a word, such as abABcdCD. Use upper-/lowercase letters for the inverses of their lower-/uppercase counterparts (a^-1=A, A^-1=a, etc.). You may enter 1, eps, epsilon, or nothing to specify the empty word.Enter an integer number of steps to perform (letters to read) before I stop and ask you again. The process automatically stops when the entire word has been read or can be read no further, so you may enter a large number such as 999 to continue without stopping. You may also simply press ENTER to do just one more step.Choose from among the following options: 1) List the PDA (face types and transitions) for your inverse monoid 2) Interactively test whether SC(1) accepts u 3) Test whether u,v are R-related to 1, and if so, whether u=v 4) Compute the cone type automaton which recognizes geodesics in SC(1) 8) Enter a new relator w (your current monoid is discarded) 9) Leave this program (quit and Ctrl-D also work)6BadCmd6BadArg6TooFew  1 cone types):Geodesic word acceptor for SC(1) (:-> (emptyfacetype))(.5, edges:, : attachedfacetype= Vertex +1-10 , ( t , ) -> ( teps )-(stackstart),this=: FaceType; 1 vertex, terminal=BASECOMPLEX initial= verticesFACE =1> in M=Inv InvMonoid lenlen - n1 > max_size () - n2  9stringbuf13ostringstreampos > length ()pos2 > len216stringstreambase1$word1epsepsilon%d{})),1),(((pos > length ()pos > lenlen - n1 > max_size () - n2out of memory  ks0 sss#s)s-sL0s8s AsFsJsLOs]sdsdlsussssss0sssLssssss s0 sLn@@`Lp?6P@?8??AB D8EԾ@4t4ĿdDehB| pa 7.). .".p... .4.0./.>....J . .1. ..h....Z.7.F. .. .V.7...\.8X  *. .?. .d ...H....*...lj ...H.....P..7.lLQ .'. ..Y.....R..._.... . .m..S..S.4 .'. ..Y.....R..._....J..S..3.F ...N.....[...e..... .U..[..W. ...N.....[...e...!...f..[..w.hd* ...N.....[...e.....d...h....3.i..[..[..x.d ...N.....[...e.....d...h... ./...z..[..[...lv ...N.....[...e.....d...h....$...{..[..[...t ...N........e....s.m..[...(  ...N.....G..Q....3.T..;..W.  ...N.....G..Q....f..;..3.| 0 ...N.....G..Q....#..T....#.S..;..;..4.4`  #..O.  ...N.......E..U...D..T....@....T.p  ...N.....G..Q....#..T....#..".P..;..;..4.ld B ...H.....(..7.P  .&. .P. .|..( ...N............h...'.....[...4  #..O.80  ...N.......F..T...D..T....@....T.L ...N.....G..Q....#..T......".L..;..;..4.T8  .?. .M. .k. .r.\ +.!.. ..G...J.!.. .(.!.. ..!.O.!.j. .". ..p4l  ".C.M.'... ... .V..x9 +.!.. ..... 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N^  .H.. ..%....#.".+...(...*..a.?.........HWJ  .[. .. ..4X .5..4<Y .9.R.@t(Z .*..2..8Z =.n.y..4?  . .4,+  . .$d, .$  .41 .8L . .. .,(! .$X- .$ .$  .$F  .4]B  ...$0& .$X" .4]m . .,@^# .,d^# .$^" .,@^  .8p^Q .. .@:  . . .$' . 4<  . ..,P# .,# .$" .,  .$ % .$0 > .@X   .w...8 2  .  .8 8 .@ U  .". . .,X &  . .  4 = . . 4 \_q .P., _9 .4H `2 . ., @`$ .x d` ./. ..o..,../. ..,..,, /  .,\ $  .l  .. .. .F. . .. .4 2 . .,4 $ .$d  .8 X  .. .$ ' . 4   .O..,(lb/ .,Xba  .$0c .,lc1  ..$c" .4(d (. ..4@f) .,x0f  .,Pf1  ..4C  ...4  .H..$HM  .,p0 ..49 . .89  . .,0 ..lD  .. .. .D. . .. .${ .$f  .$f) .@,f  .P...4p  .A. .$! .$g8 .$g4  .8  .T. .$\;  .$ .8o (. ...$ .4\ ..^.4Hh9  .$ .,6 .$ .$ .$(  .,P6 .4h9  .T= ..5....u..$h  .$8b .,`i6 .,! .$j ., jD  .,dj ..,Hjb ..4xPk.  .$k  .$T]  .$p]  .!2VmC <ew`O9_u`E1E`?S/|"2SgC @@(,04LcTHtr@T0| &BYD/Lj)T( I2Ilttt&6DZqdGl,?Szg.:DXX  (Hi@-Gp$cE@fh "L*Al2=Ys`Fh*>lRhcsh{(SIlt({e%Fgh%P"6]tJ#7=pQdh !L0fx8lYxxt@$`\t$$vSf<`zh  Ga4 .=ddd "L_qI 88@8alLd&=h   L4X`|3\|h|8 CZX 0`       ; U  (           2  S  t 8       $ $ w    $  ,Lp%Uk= "@@,LTot&<c}P( ,,,OdtW:XvH]q<\\)((0@dlDD ""#  (#!I#n"g#."#"##|$$$$$$`%p%d,S%%,e&v&-''-()$-)#)X-#)4)-U**,(*+,*,,e),-'),4-Q'=,h-%N,-d,--//1/ 02W/0.2F/0L25/0j21124e(1D13`e(1D1L4e(1D144e2222222223323L433L4"3V4k4@3k44H3V44f3443453453353155j7{77G77777788887888H8H8APABABBB0CBB0CBB0C0CRRRSSSSTSSTSSTTdXsXX7YHYlY(YLYLYLY|Y|YYYZYYYYZZ[#[[[[ \4[[[[[[Z\\j]]]]]]^ _ _ _,_,_______b`t`t`t```&aLaLaLapapaaa8b b8bXb8b|b|bbbbbbcbb=cb`c`ccccccccdd>dSddxddddddddddggggghgg6hgXhXhi'iLih,i,i,i\i\il'll8llllll9|L|||||T||||o|T|||}}l~~A~~U~e~}l~~}l~~l~~~x}~~NT,55ԁ0́|ԁԁ6ԁTTl\\ÂP(p9I؃ԂPP 0ĄĄĊ&҆EV&·ADzd{'SދĊh{ؐ< 2BDގd\3đmؐ  ĒXؓxX”הn~0 ĕʖ ۖ> \\[kؘȘhv \x!ʜכ2MuL$$К,,( h Н(H(xxtĞԞL0ʟڟ&x0PPXXg|̩VtE 4(٣FţgU̪̪;}ձ2wijy4ĴĴ@@``LcxԾԾ=W_~ITk4K`d|||pph000PP   ,,kDDDD =@Jh@h3hhV$$$$qx & D  D  D D a!t!!!!|!!!!|!!!5"H"x"""P"x""k"P"""##$&$D$#$D$$#D$D$/@d DDDtt //X/F/V//,/X/x/X///.//61K1h1h1113333333442XXX||_555L555555R9p9p9/9p99p999BSxXXX:/:D:'8;;;;;;/@|@|@|@@@G@H@H@H`H`HJJJIJJJJJKKLKKLK LLKLLKLf?|@ABCDEFG3HLIaNQRST1UMVeX}[^ehlq r- uH ve y z }   8 ˔l F  #N Q 4m < C F S Z ^ ltEyf, DZ8obKD#5DoH0K_LUZ^7aobTj57819K:e dinit.c/usr/local/tmp/fedora/BUILD/glibc-2.2.5/csu/gcc2_compiled.int:t(0,1)=r(0,1);-2147483648;2147483647;char:t(0,2)=r(0,2);0;127;long int:t(0,3)=r(0,3);-2147483648;2147483647;unsigned int:t(0,4)=r(0,4);0000000000000;0037777777777;long unsigned int:t(0,5)=r(0,5);0000000000000;0037777777777;long long int:t(0,6)=@s64;r(0,6);01000000000000000000000;0777777777777777777777;long long unsigned int:t(0,7)=@s64;r(0,7);0000000000000;01777777777777777777777;short int:t(0,8)=@s16;r(0,8);-32768;32767;short unsigned int:t(0,9)=@s16;r(0,9);0;65535;signed char:t(0,10)=@s8;r(0,10);-128;127;unsigned char:t(0,11)=@s8;r(0,11);0;255;float:t(0,12)=r(0,1);4;0;double:t(0,13)=r(0,1);8;0;long double:t(0,14)=r(0,1);12;0;complex int:t(0,15)=s8real:(0,1),0,32;imag:(0,1),32,32;;complex float:t(0,16)=r(0,16);8;0;complex double:t(0,17)=r(0,17);16;0;complex long double:t(0,18)=r(0,18);24;0;__builtin_va_list:t(0,19)=*(0,20)=(0,20)../include/libc-symbols.h/usr/local/tmp/fedora/BUILD/glibc-2.2.5/build-i386-linux/config.h../sysdeps/gnu/_G_config.h../sysdeps/unix/sysv/linux/bits/types.h../include/features.h../include/sys/cdefs.h../misc/sys/cdefs.h/usr/lib/gcc-lib/i386-redhat-linux/2.96/include/stddef.hsize_t:t(8,1)=(0,4)__u_char:t(4,1)=(0,11)__u_short:t(4,2)=(0,9)__u_int:t(4,3)=(0,4)__u_long:t(4,4)=(0,5)__u_quad_t:t(4,5)=(0,7)__quad_t:t(4,6)=(0,6)__int8_t:t(4,7)=(0,10)__uint8_t:t(4,8)=(0,11)__int16_t:t(4,9)=(0,8)__uint16_t:t(4,10)=(0,9)__int32_t:t(4,11)=(0,1)__uint32_t:t(4,12)=(0,4)__int64_t:t(4,13)=(0,6)__uint64_t:t(4,14)=(0,7)__qaddr_t:t(4,15)=(4,16)=*(4,6)__dev_t:t(4,17)=(4,5)__uid_t:t(4,18)=(4,3)__gid_t:t(4,19)=(4,3)__ino_t:t(4,20)=(4,4)__mode_t:t(4,21)=(4,3)__nlink_t:t(4,22)=(4,3)__off_t:t(4,23)=(0,3)__loff_t:t(4,24)=(4,6)__pid_t:t(4,25)=(0,1)__ssize_t:t(4,26)=(0,1)__rlim_t:t(4,27)=(4,4)__rlim64_t:t(4,28)=(4,5)__id_t:t(4,29)=(4,3)__fsid_t:t(4,30)=(4,31)=s8__val:(4,32)=ar(4,33)=r(4,33);0000000000000;0037777777777;;0;1;(0,1),0,64;;__daddr_t:t(4,34)=(0,1)__caddr_t:t(4,35)=(4,36)=*(0,2)__time_t:t(4,37)=(0,3)__useconds_t:t(4,38)=(0,4)__suseconds_t:t(4,39)=(0,3)__swblk_t:t(4,40)=(0,3)__clock_t:t(4,41)=(0,3)__clockid_t:t(4,42)=(0,1)__timer_t:t(4,43)=(0,1)__key_t:t(4,44)=(0,1)__ipc_pid_t:t(4,45)=(0,9)__blksize_t:t(4,46)=(0,3)__blkcnt_t:t(4,47)=(0,3)__blkcnt64_t:t(4,48)=(4,6)__fsblkcnt_t:t(4,49)=(4,4)__fsblkcnt64_t:t(4,50)=(4,5)__fsfilcnt_t:t(4,51)=(4,4)__fsfilcnt64_t:t(4,52)=(4,5)__ino64_t:t(4,53)=(4,5)__off64_t:t(4,54)=(4,24)__t_scalar_t:t(4,55)=(0,3)__t_uscalar_t:t(4,56)=(0,5)__intptr_t:t(4,57)=(0,1)__socklen_t:t(4,58)=(0,4)../linuxthreads/sysdeps/pthread/bits/pthreadtypes.h../sysdeps/unix/sysv/linux/bits/sched.h__sched_param:T(10,1)=s4__sched_priority:(0,1),0,32;;_pthread_fastlock:T(9,1)=s8__status:(0,3),0,32;__spinlock:(0,1),32,32;;_pthread_descr:t(9,2)=(9,3)=*(9,4)=xs_pthread_descr_struct:__pthread_attr_s:T(9,5)=s36__detachstate:(0,1),0,32;__schedpolicy:(0,1),32,32;__schedparam:(10,1),64,32;__inheritsched:(0,1),96,32;__scope:(0,1),128,32;__guardsize:(8,1),160,32;__stackaddr_set:(0,1),192,32;__stackaddr:(0,19),224,32;__stacksize:(8,1),256,32;;pthread_attr_t:t(9,6)=(9,5)pthread_cond_t:t(9,7)=(9,8)=s12__c_lock:(9,1),0,64;__c_waiting:(9,2),64,32;;pthread_condattr_t:t(9,9)=(9,10)=s4__dummy:(0,1),0,32;;pthread_key_t:t(9,11)=(0,4)pthread_mutex_t:t(9,12)=(9,13)=s24__m_reserved:(0,1),0,32;__m_count:(0,1),32,32;__m_owner:(9,2),64,32;__m_kind:(0,1),96,32;__m_lock:(9,1),128,64;;pthread_mutexattr_t:t(9,14)=(9,15)=s4__mutexkind:(0,1),0,32;;pthread_once_t:t(9,16)=(0,1)_pthread_rwlock_t:T(9,17)=s32__rw_lock:(9,1),0,64;__rw_readers:(0,1),64,32;__rw_writer:(9,2),96,32;__rw_read_waiting:(9,2),128,32;__rw_write_waiting:(9,2),160,32;__rw_kind:(0,1),192,32;__rw_pshared:(0,1),224,32;;pthread_rwlock_t:t(9,18)=(9,17)pthread_rwlockattr_t:t(9,19)=(9,20)=s8__lockkind:(0,1),0,32;__pshared:(0,1),32,32;;pthread_spinlock_t:t(9,21)=(0,1)pthread_barrier_t:t(9,22)=(9,23)=s20__ba_lock:(9,1),0,64;__ba_required:(0,1),64,32;__ba_present:(0,1),96,32;__ba_waiting:(9,2),128,32;;pthread_barrierattr_t:t(9,24)=(9,25)=s4__pshared:(0,1),0,32;;pthread_t:t(9,26)=(0,5)wchar_t:t(11,1)=(0,3)wint_t:t(11,2)=(0,4)../include/wchar.h../wcsmbs/wchar.h../sysdeps/unix/sysv/linux/i386/bits/wchar.h__mbstate_t:t(13,1)=(13,2)=s8__count:(0,1),0,32;__value:(13,3)=u4__wch:(11,2),0,32;__wchb:(13,4)=ar(4,33);0;3;(0,2),0,32;;,32,32;;_G_fpos_t:t(3,1)=(3,2)=s12__pos:(4,23),0,32;__state:(13,1),32,64;;_G_fpos64_t:t(3,3)=(3,4)=s16__pos:(4,54),0,64;__state:(13,1),64,64;;../include/gconv.h../iconv/gconv.h :T(17,1)=e__GCONV_OK:0,__GCONV_NOCONV:1,__GCONV_NODB:2,__GCONV_NOMEM:3,__GCONV_EMPTY_INPUT:4,__GCONV_FULL_OUTPUT:5,__GCONV_ILLEGAL_INPUT:6,__GCONV_INCOMPLETE_INPUT:7,__GCONV_ILLEGAL_DESCRIPTOR:8,__GCONV_INTERNAL_ERROR:9,; :T(17,2)=e__GCONV_IS_LAST:1,__GCONV_IGNORE_ERRORS:2,;__gconv_fct:t(17,3)=(17,4)=*(17,5)=f(0,1)__gconv_init_fct:t(17,6)=(17,7)=*(17,8)=f(0,1)__gconv_end_fct:t(17,9)=(17,10)=*(17,11)=f(0,20)__gconv_trans_fct:t(17,12)=(17,13)=*(17,14)=f(0,1)__gconv_trans_context_fct:t(17,15)=(17,16)=*(17,17)=f(0,1)__gconv_trans_query_fct:t(17,18)=(17,19)=*(17,20)=f(0,1)__gconv_trans_init_fct:t(17,21)=(17,22)=*(17,23)=f(0,1)__gconv_trans_end_fct:t(17,24)=(17,25)=*(17,26)=f(0,20)__gconv_trans_data:T(17,27)=s20__trans_fct:(17,12),0,32;__trans_context_fct:(17,15),32,32;__trans_end_fct:(17,24),64,32;__data:(0,19),96,32;__next:(17,28)=*(17,27),128,32;;__gconv_step:T(17,29)=s56__shlib_handle:(17,30)=*(17,31)=xs__gconv_loaded_object:,0,32;__modname:(17,32)=*(0,2),32,32;__counter:(0,1),64,32;__from_name:(4,36),96,32;__to_name:(4,36),128,32;__fct:(17,3),160,32;__init_fct:(17,6),192,32;__end_fct:(17,9),224,32;__min_needed_from:(0,1),256,32;__max_needed_from:(0,1),288,32;__min_needed_to:(0,1),320,32;__max_needed_to:(0,1),352,32;__stateful:(0,1),384,32;__data:(0,19),416,32;;__gconv_step_data:T(17,33)=s36__outbuf:(17,34)=*(0,11),0,32;__outbufend:(17,34),32,32;__flags:(0,1),64,32;__invocation_counter:(0,1),96,32;__internal_use:(0,1),128,32;__statep:(17,35)=*(13,1),160,32;__state:(13,1),192,64;__trans:(17,28),256,32;;__gconv_info:T(17,36)=s8__nsteps:(8,1),0,32;__steps:(17,37)=*(17,29),32,32;__data:(17,38)=ar(4,33);0;-1;(17,33),64,0;;__gconv_t:t(17,39)=(17,40)=*(17,36)_G_iconv_t:t(3,5)=(3,6)=u44__cd:(17,36),0,64;__combined:(3,7)=s44__cd:(17,36),0,64;__data:(17,33),64,288;;,0,352;;_G_int16_t:t(3,8)=(0,8)_G_int32_t:t(3,9)=(0,1)_G_uint16_t:t(3,10)=(0,9)_G_uint32_t:t(3,11)=(0,4)_IO_stdin_used:G(0,1)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113.0)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113.0)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113)GCC: (GNU) 2.96 20000731 (Red Hat Linux 7.3 2.96-113.0)pq6?X6+616L7!(77\8X89 :F;Z\;|;;;';/<\l< x< <H=<=-=8>&`>p>$>>>>-?88?X?(?<??%?>4@2h@2@4@j2P \ |q9<G& '$4D#h")@L8)@, p'#"9<@|%$%$&d$2lX'#@<%d$  -$'0@P#t"#1@02d p q9L8  , Lq9  q`9  q<9xO2$ ,L \P \ h- U 2$  X '0@P/a kL &l;!#I8X1  11  $ 41 ;h$1  1H X1"  2)1P`1   1  2L()Tt0$Tt 0/`a &/ax/a 8/haZt #68;t $ { .4(      0 /P Q # " =, 'T  d @ @ P ` p  lLl |  4 D T 10 @ P ` 14 D   0D` (!l ) (  < H)tGQ 0P/6<;T  d 2 ) * #!/D!! !)"" 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>::basic_string6basic_string, __default_alloc_template >::operator=Zbasic_string, __default_alloc_template >::basic_string|operator+, __default_alloc_template >operator+, __default_alloc_template >ܾvector >::push_back getline, __default_alloc_template >{operator>>, __default_alloc_template >basic_string, __default_alloc_template >::c_strvector >::sizevector >::pop_back vector >::backoperator!=maxAvector >::operator[]cvector >::erasevector >::beginvector >::endvector >::insertoperator<<, __default_alloc_template >operator==, __default_alloc_template >operator== >list >::beginD_List_iterator::_List_iteratorflist >::end_List_iterator::operator!=_List_iterator::operator++_List_iterator::operator*operator!=, __default_alloc_template >basic_string, __default_alloc_template >::findbasic_string, __default_alloc_template >::operator=1basic_string, __default_alloc_template >::substrZbasic_string, __default_alloc_template >::appendbasic_string, __default_alloc_template >::repbasic_string, __default_alloc_template >::Rep::releasebasic_string, __default_alloc_template >::Rep::grab$basic_string, __default_alloc_template >::assignFbasic_string, __default_alloc_template >::appendconstructvector >::_M_insert_auxbasic_string, __default_alloc_template >::resize'basic_string, __default_alloc_template >::operator+=Ibasic_string, __default_alloc_template >::lengthdbasic_string, __default_alloc_template >::terminatebasic_string, __default_alloc_template >::datavector >::beginvector >::end%destroycopybasic_string, __default_alloc_template >::compare4_List_iterator::_List_iteratorVbasic_string, __default_alloc_template >::findbasic_string, __default_alloc_template >::basic_stringbasic_string, __default_alloc_template >::replaceUbasic_string, __default_alloc_template >::Rep::operator deletepbasic_string, __default_alloc_template >::Rep::clonebasic_string, __default_alloc_template >::Rep::databasic_string, __default_alloc_template >::assignbasic_string, __default_alloc_template >::appendcopy_backward_Vector_alloc_base, true>::_M_allocateuninitialized_copycdestroy_Vector_alloc_base, true>::_M_deallocatebasic_string, __default_alloc_template >::eosbasic_string, __default_alloc_template >::resizebasic_string, __default_alloc_template >::append!basic_string, __default_alloc_template >::Rep::operator[]__copy_dispatch::copybasic_string, __default_alloc_template >::compare5basic_string, __default_alloc_template >::assignebasic_string, __default_alloc_template >::replace__default_alloc_template::deallocatebasic_string, __default_alloc_template >::Rep::createbasic_string, __default_alloc_template >::Rep::copy__copy_backward_dispatch::copysimple_alloc >::allocate__value_type__uninitialized_copyy__destroysimple_alloc >::deallocatebasic_string, __default_alloc_template >::max_sizebasic_string, __default_alloc_template >::erase basic_string, __default_alloc_template >::replace__copybasic_string, __default_alloc_template >::check_reallocbasic_string, 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>::Rep::excess_slop__malloc_alloc_template<0>::allocate__default_alloc_template::_S_round_up__default_alloc_template::_S_refill__malloc_alloc_template<0>::_S_oom_malloc__default_alloc_template::_S_chunk_allocState::~StateState::StateWord::~WordWord::WordWord::operator+9Word::operator*[Word::operator==}Word::strWord::lenWord::rightpointedpiece::~pointedpiecepointedpiece::pointedpieceJpointedpiece::operator==sInvMonoid::~InvMonoidInstDesc::~InstDescInstDesc::InstDescInstDesc::operator=OConeTypeFSA::~ConeTypeFSAwTooFew::~TooFewTooFew::TooFewTooFew::TooFewBadCmd::~BadCmdBadCmd::BadCmd3BadCmd::BadCmd[BadArg::~BadArgBadArg::BadArgBadArg::BadArgȪOperListEntry::~OperListEntryOperListEntry::OperListEntryOperListEntry::operator=0OperListEntry::OperListEntrySOperListEntry::OperListEntrywOperListEntry::OperListEntryOperListEntry::OperListEntryʫ__tf6BadCmd__tf6BadArg__tf6TooFewCallocator::allocator^allocator::~allocatorvector >::vectorvector >::~vectorЬ_Vector_base >::_Vector_base_Vector_base >::~_Vector_base_Vector_alloc_base, true>::_Vector_alloc_basedmodWord::operator=map, allocator >::~mapҭInstDesc::InstDescmap, allocator >::~mapset, allocator >::~setBoperator+, __default_alloc_template >Joperator==, __default_alloc_template >lbasic_string, __default_alloc_template >::size_Rb_tree, _Select1st >, less, allocator >::~_Rb_treeallocator::allocatorϰallocator::~allocatorlist >::listlist >::~list<list >::operator=űlist >::list_Rb_tree, _Select1st >, less, allocator >::~_Rb_treevector >::~vector>vector >::~vectorf_Rb_tree, less, allocator >::~_Rb_treebasic_string, __default_alloc_template >::compare_Rb_tree, _Select1st >, less, allocator >::clear_Rb_tree_base, allocator >::~_Rb_tree_base<_List_base >::_List_base^_List_base >::~_List_base_List_iterator::_List_iteratorlist >::beginólist >::end_List_iterator::operator!=_List_iterator::operator++/_List_iterator::operator++Y_List_iterator::operator*t_List_iterator::operator==list >::eraselist >::insert<_List_iterator >Glist >::get_allocatorb_Rb_tree, _Select1st >, less, allocator >::clear_Rb_tree_base, allocator >::~_Rb_tree_basedestroy'_Vector_base >::~_Vector_basedestroy_Vector_base >::~_Vector_base_Rb_tree, less, allocator >::clear_Rb_tree_base >::~_Rb_tree_base,_Rb_tree, _Select1st >, less, allocator >::_M_rootG_Rb_tree, _Select1st >, less, allocator >::_M_erase_Rb_tree, _Select1st >, less, allocator >::_M_leftmost_Rb_tree, _Select1st >, less, allocator >::_M_rightmost̸_Rb_tree_alloc_base, allocator, true>::_M_put_node_List_alloc_base, true>::_List_alloc_base_List_alloc_base, true>::_M_get_node0_List_base >::clear|_List_alloc_base, true>::_M_put_node_List_iterator::_List_iterator_List_iterator::operator++۹list >::eraselist >::_M_insert_dispatch<_List_iterator >_List_alloc_base, true>::get_allocator_Rb_tree, _Select1st >, less, allocator >::_M_root_Rb_tree, _Select1st >, less, allocator >::_M_erase_Rb_tree, _Select1st >, less, allocator >::_M_leftmost _Rb_tree, _Select1st >, less, allocator >::_M_rightmost@_Rb_tree_alloc_base, allocator, true>::_M_put_node__value_types__destroy_Vector_alloc_base, true>::_M_deallocateB__value_typeڿ__destroy_Vector_alloc_base, true>::_M_deallocate6_Rb_tree, less, allocator >::_M_rootQ_Rb_tree, less, allocator >::_M_erase_Rb_tree, less, allocator >::_M_leftmost_Rb_tree, less, allocator >::_M_rightmost_Rb_tree_alloc_base, true>::_M_put_node_Rb_tree, _Select1st >, less, allocator >::_S_right_Rb_tree, _Select1st >, less, allocator >::_S_left._Rb_tree, _Select1st >, less, allocator >::destroy_nodegsimple_alloc<_Rb_tree_node >, __default_alloc_template >::deallocatesimple_alloc<_List_node, __default_alloc_template >::allocatedestroy"simple_alloc<_List_node, __default_alloc_template >::deallocateFlist >::insertx_Rb_tree, _Select1st >, less, allocator >::_S_right_Rb_tree, _Select1st >, less, allocator >::_S_left_Rb_tree, _Select1st >, less, allocator >::destroy_nodesimple_alloc<_Rb_tree_node >, __default_alloc_template >::deallocateY__destroy_auxsimple_alloc >::deallocate__destroy_aux@simple_alloc >::deallocated_Rb_tree, less, allocator >::_S_right_Rb_tree, less, allocator >::_S_left_Rb_tree, less, allocator >::destroy_nodesimple_alloc<_Rb_tree_node, __default_alloc_template >::deallocateZdestroy >ulist >::_M_create_nodedestroy >tdestroyconstruct$pair::~pairLFaceType::~FaceType__malloc_alloc_template<0>::__malloc_alloc_oom_handler __default_alloc_template::_S_free_list__default_alloc_template::_S_start_free!__default_alloc_template::_S_end_free,__default_alloc_template::_S_heap_size7__default_alloc_template::_S_node_allocator_lockBbasic_string, __default_alloc_template >::nposMbasic_string, __default_alloc_template >::nilRepo#op#st#wordhelp#stephelp#menuhelp#__ti6BadCmd$__ti6BadArg$__ti6TooFew!&)'InvMonoid::InvMonoid[SchComplex::SchComplexFace::Face٦FaceType::FaceTypeFaceType::FaceTypeuFaceType::bvmodFaceType::fvmod֧Face::buildfacebottomͨVertex::attachface}Vertex::maxfoldparamsqInstDesc::InstDescInstDesc::futequalVertex::findtrans<InstDesc::advancedtoInvMonoid::trim_identity_wordsSchComplex::accepts`ConeTypeFSA::destFsaNumberChildrenmarkpairIConeTypeFSA::ConeTypeFSAoperator<<operator<<)VertexEdgeOutvertexstroperator<<operator<<uoperator<<operator<<3operator<<operator<<operator<<operator<<obasic_string, __default_alloc_template >::~basic_stringbasic_string, __default_alloc_template >::basic_stringmap, allocator >::mapallocator::allocatorallocator::~allocator$list >::listFlist >::~listnvector >::operator[]map, allocator >::operator[]vector >::vectorvector >::~vectorvector >::reserve?vector >::push_backcvector >::resizemap, allocator >::operator[]map, allocator >::findmap, allocator >::end_Rb_tree_iterator, const pair &, const pair *>::_Rb_tree_iteratormap, allocator >::find:_Rb_tree_iterator, const pair &, const pair *>::_Rb_tree_iterator\map, allocator >::end|_Rb_tree_iterator, const pair &, const pair *>::operator->list >::push_frontoperator!=operator!= > >map, allocator >::begin_Rb_tree_iterator, const pair &, const pair *>::operator++list >::frontoperator!=list >::pop_frontmap, allocator >::operator[]map, allocator >::find4map, allocator >::endTvector >::sizeo_Rb_tree_iterator, const pair &, const pair *>::operator++set, allocator >::insertset, allocator >::findset, allocator >::endTset, allocator >::insertmap, allocator >, less, allocator, allocator > > >::operator[]set, allocator >::beginoperator!=<_Rb_tree_iterator >_Rb_tree_iterator::operator++_Rb_tree_iterator::operator*map, allocator >::mapBallocator::allocator]allocator::~allocatorvector >::vectorvector >::~vectorset, allocator >::setset, allocator >::setmap, allocator >, less, allocator, allocator > > >::map%set, allocator >::operator=Lset, allocator >::begingset, allocator >::end+operator!=<_Rb_tree_iterator >R_Rb_tree_iterator::operator++r_Rb_tree_iterator::operator*vector >::push_backvector >::operator[]vector >::operator[]vector >::operator[]>map, allocator >::finde_Rb_tree_iterator, const pair &, const pair *>::operator->map, allocator >::sizebasic_string, __default_alloc_template >::c_strmap, allocator >::sizemap, allocator >::beginmap, allocator >::endDoperator!=<_Rb_tree_iterator, const pair &, const pair *> >k_Rb_tree_iterator, const pair &, const pair *>::operator++_Rb_tree_iterator, const pair &, const pair *>::operator->list >::beginlist >::end_List_iterator::operator!=!_List_iterator::operator++<_List_iterator::operator*Wbasic_string, __default_alloc_template >::repbasic_string, __default_alloc_template >::Rep::releasebasic_string, __default_alloc_template >::Rep::grabbasic_string, __default_alloc_template >::assign*allocator >::allocatorEallocator >::~allocatorw_Rb_tree, _Select1st >, less, allocator >::_Rb_tree_Rb_tree_base, allocator >::~_Rb_tree_base_List_base >::_List_base_List_base >::~_List_basebasic_string, __default_alloc_template >::length.basic_string, __default_alloc_template >::dataIvector >::begindmap, allocator >::lower_bound_Rb_tree_iterator, pair &, pair *>::_Rb_tree_iterator_Rb_tree_iterator, pair &, pair *>::operator*map, allocator >::key_compless::operator()%pair::pairNmap, allocator >::insert}_Vector_base >::_Vector_base_Vector_base >::~_Vector_basedestroy>vector >::capacityGvector >::_M_allocate_and_copy_Vector_alloc_base, true>::_M_deallocate/constructQvector >::endlvector >::_M_insert_aux]vector >::resizemap, allocator >::lower_bound_Rb_tree_iterator, pair &, pair *>::_Rb_tree_iterator_Rb_tree_iterator, pair &, pair *>::operator*map, allocator >::key_compless::operator()@pair::pairimap, allocator >::insert_Rb_tree, _Select1st >, less, allocator >::find_Rb_tree, _Select1st >, less, allocator >::end _Rb_tree, _Select1st >, less, allocator >::findo_Rb_tree, _Select1st >, less, allocator >::end_Rb_tree_iterator, const pair &, const pair *>::operator*list >::beginlist >::insertoperator== >_Rb_tree, _Select1st >, less, allocator >::begin&_List_iterator::operator*Alist >::erasetmap, allocator >::lower_bound_Rb_tree_iterator, pair &, pair *>::_Rb_tree_iterator_Rb_tree_iterator, pair &, pair *>::operator*map, allocator >::key_compless::operator()0pair::pairYmap, allocator >::insert_Rb_tree, _Select1st >, less, allocator >::find_Rb_tree, _Select1st >, less, allocator >::endvector >::beginvector >::end7_Rb_tree, less, allocator >::insert_unique_Rb_tree_iterator::_Rb_tree_iteratorpair<_Rb_tree_iterator, bool>::pair_Rb_tree, less, allocator >::findi_Rb_tree, less, allocator >::end_Rb_tree, less, allocator >::insert_unique_Rb_tree_iterator::_Rb_tree_iterator%pair<_Rb_tree_iterator, bool>::pairNmap, allocator >, less, allocator, allocator > > >::lower_boundz_Rb_tree_iterator, allocator > >, pair, allocator > > &, pair, allocator > > *>::_Rb_tree_iterator_Rb_tree_iterator, allocator > >, pair, allocator > > &, pair, allocator > > *>::operator*map, allocator >, less, allocator, allocator > > >::key_compless::operator() map, allocator >, less, allocator, allocator > > >::end*pair, allocator > >::pairSmap, allocator >, less, allocator, allocator > > >::insert}_Rb_tree, less, allocator >::beginallocator >::allocatorallocator >::~allocator_Rb_tree, _Select1st >, less, allocator >::_Rb_tree&_Rb_tree_base, allocator >::~_Rb_tree_baseN_Vector_base >::_Vector_basep_Vector_base >::~_Vector_basedestroyallocator::allocator6allocator::~allocatorc_Rb_tree, less, allocator >::_Rb_tree_Rb_tree_base >::~_Rb_tree_baseallocator::allocatorallocator::~allocator_Rb_tree, less, allocator >::_Rb_treeC_Rb_tree_base >::~_Rb_tree_base}allocator, allocator > > >::allocatorallocator, allocator > > >::~allocator_Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::_Rb_tree_Rb_tree_base, allocator > >, allocator, allocator > > >::~_Rb_tree_base_Rb_tree, less, allocator >::operator=R_Rb_tree, less, allocator >::beginm_Rb_tree, less, allocator >::endconstructvector >::endvector >::_M_insert_aux vector >::begin'vector >::beginB_Rb_tree, _Select1st >, less, allocator >::find_Rb_tree_iterator, const pair &, const pair *>::operator*_Rb_tree, _Select1st >, less, allocator >::sizebasic_string, __default_alloc_template >::terminate_Rb_tree, _Select1st >, less, allocator >::size_Rb_tree, _Select1st >, less, allocator >::begin6_Rb_tree, _Select1st >, less, allocator >::endQ_Rb_tree_iterator, const pair &, const pair *>::operator*l_List_iterator::_List_iteratorbasic_string, __default_alloc_template >::Rep::operator deletebasic_string, __default_alloc_template >::Rep::clonebasic_string, __default_alloc_template >::Rep::databasic_string, __default_alloc_template >::assign_Rb_tree, _Select1st >, less, allocator >::_M_root5_Rb_tree, _Select1st >, less, allocator >::_M_leftmostP_Rb_tree_base, allocator >::_Rb_tree_baser_Rb_tree, _Select1st >, less, allocator >::_M_empty_initialize_Rb_tree, _Select1st >, less, allocator >::_M_root_Rb_tree, _Select1st >, less, allocator >::_M_leftmost_Rb_tree, _Select1st >, less, allocator >::_M_rightmost_Rb_tree_alloc_base, allocator, true>::_M_put_node _List_alloc_base, true>::_List_alloc_base,_List_alloc_base, true>::_M_get_nodeG_List_base >::clear_List_alloc_base, true>::_M_put_node_Rb_tree, _Select1st >, less, allocator >::lower_bound_Rb_tree, _Select1st >, less, allocator >::key_comp_Rb_tree, _Select1st >, less, allocator >::insert_unique_Vector_alloc_base, true>::_Vector_alloc_base* __value_type __destroy _Vector_alloc_base, true>::_M_allocate uninitialized_copy simple_alloc >::deallocate copy_backward vector >::erase vector >::insert8_Rb_tree, _Select1st >, less, allocator >::lower_bound_Rb_tree, _Select1st >, less, allocator >::key_comp_Rb_tree, _Select1st >, less, allocator >::insert_unique_Rb_tree, _Select1st >, less, allocator >::_S_key#_Rb_tree, _Select1st >, less, allocator >::_S_left>_Rb_tree, _Select1st >, less, allocator >::_S_rightY_Rb_tree_iterator, pair &, pair *>::_Rb_tree_iterator{_Rb_tree, _Select1st >, less, allocator >::_S_key_Rb_tree, _Select1st >, less, allocator >::_S_key_Rb_tree, _Select1st >, less, allocator >::_S_left_Rb_tree, _Select1st >, less, allocator >::_S_right_Rb_tree_iterator, pair &, pair *>::_Rb_tree_iterator _Rb_tree, _Select1st >, less, allocator >::_S_key)_List_iterator::_List_iteratorKlist >::_M_create_nodedestroy_Rb_tree, _Select1st >, less, allocator >::lower_bound(_Rb_tree, _Select1st >, less, allocator >::key_compC_Rb_tree, _Select1st >, less, allocator >::insert_unique_Rb_tree, _Select1st >, less, allocator >::_M_root_Rb_tree, _Select1st >, less, allocator >::_S_key_Rb_tree, _Select1st >, less, allocator >::_S_left_Rb_tree, _Select1st >, less, allocator >::_S_right_Rb_tree_iterator, pair &, pair *>::_Rb_tree_iterator7_Rb_tree, _Select1st >, less, allocator >::_S_keyR_Rb_tree, less, allocator >::_M_root__Identity::operator()_Rb_tree, less, allocator >::_S_keyless::operator()_Rb_tree, less, allocator >::_S_right_Rb_tree, less, allocator >::_S_left_Rb_tree_iterator::_Rb_tree_iterator'_Rb_tree, less, allocator >::beginB_Rb_tree, less, allocator >::_M_insertpair<_Rb_tree_iterator, bool>::pair_Rb_tree_iterator::operator-- _Rb_tree, less, allocator >::_S_key$_Rb_tree, less, allocator >::_M_root?_Rb_tree, less, allocator >::_S_keyZ_Rb_tree, less, allocator >::_S_leftu_Rb_tree, less, allocator >::_S_right_Rb_tree_iterator::_Rb_tree_iterator_Rb_tree, less, allocator >::_S_key#_Identity::operator()J_Rb_tree_iterator::_Rb_tree_iteratorl_Rb_tree, less, allocator >::begin_Rb_tree, less, allocator >::_M_insert pair<_Rb_tree_iterator, bool>::pair3_Rb_tree_iterator::operator--N_Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::lower_bound_Rb_tree, allocator 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allocator >::_M_rightmost _Rb_tree_alloc_base, true>::_M_put_node _Rb_tree_base, allocator > >, allocator, allocator > > >::_Rb_tree_base _Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::_M_empty_initialize _Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::_M_root!_Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::_M_leftmost*!_Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::_M_rightmostJ!_Rb_tree_alloc_base, allocator > >, allocator, allocator > >, true>::_M_put_nodel!_Rb_tree, less, allocator >::_M_copy!_Rb_tree, less, allocator >::_S_minimum"_Rb_tree, less, allocator >::_S_maximum4"_Rb_tree_iterator::_Rb_tree_iterator"copy_backward#vector >::size,#_Vector_alloc_base, true>::_M_allocate#uninitialized_copy$_Rb_tree_iterator, const pair &, const pair *>::_Rb_tree_iterator&$_Rb_tree, _Select1st >, less, allocator >::endA$basic_string, 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less, allocator >::insert_unique<:_Rb_tree_iterator, pair &, pair *>::operator--W:_Rb_tree, _Select1st >, less, allocator >::_S_rightr:_Rb_tree, _Select1st >, less, allocator >::_S_value:_Rb_tree, _Select1st >, less, allocator >::_S_value>_Select1st >::operator()>_Rb_tree, _Select1st >, less, allocator >::size>_Rb_tree, _Select1st >, less, allocator >::_M_insertj?_Rb_tree, _Select1st >, less, allocator >::insert_unique?_Rb_tree_iterator, pair &, pair *>::operator--?_Rb_tree, _Select1st >, less, allocator >::_S_right@_Rb_tree, _Select1st >, less, allocator >::_S_value+@_Rb_tree, less, allocator >::_S_valueF@_Rb_tree, less, allocator >::_M_create_node@_Rb_tree, less, allocator >::_S_parent@_Rb_tree, less, allocator >::_S_value@_Rb_tree, less, allocator >::_M_create_node@_Rb_tree, less, allocator >::_S_parentA_Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > >::_S_key,A_Rb_tree, allocator > >, _Select1st, allocator > > >, less, allocator, allocator > > 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