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code.py
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2
import marshal,zlib,base64
exec(marshal.loads(zlib.decompress(base64.b85decode(b'c%1E9X>1!wc5YtcA?oy@%ST%WC0U}x`;g7?$d)D9@->n?wy9N^7Q0BbMRwEOqz>+8(c=hNO<*7%>>}%6cd!!#80=;i!Tt!a`IiOqCqGGmKN|gOF!>QU2cXRk5Wv6ks+*)ls%@{l@y_gy=<=&q?^RX5`s%$`)e`k@#J*2cx&F<6G!w)R37VjFDI%)Yx~NX6^-;Z28=?kUA2sR;WTFk9>ImX9U1geR18P9VH9h8er<H&{X4+WWM~9_`hn7m4HfiYf53N;wL%p7DfgU#6TraO!`MU8ntHZ0obz`(~-)b!>ecBqeDt)afd%7vw1iUTUOgBbbpl+q@(Kfm%+D<n|kI^mB<G`PwTcanH6}NrTL1=uE1Zw^f@sW;h|43Knjse%AaL22%6II#Cs;r|b>#WMUs<Q5?tfwkFRh6Bt%Fa|}XR9)@Dmzz|^;TtlRarl9#}#e>xMK?E_()fat;SB8QTvYwdhlbthOQI)5T1)3!q5BI@T%FOU8sv5UNb4aHK^jO`MhTOJnDkk^m%QIY?|Xt^hn+Fx)tl%z`9Xv9qs(M&Xc1(uk$q39vC~O%rma6)%CG<KR}muYvN?adq8`%F{Hh9R#|9Y^c3x<1E?D#KnI~$)2G0FR`o<W^kZZ6G{}jEXDTvu3Z4FW_*018&-B%~&e9X;>_f8BUMKkOGR7BPitYg^>!B~!%`yx<&!MxQ^b#7MI$I-Md;G;czHZfh^gHw=`dxaG4$_zDEA$k7m7b<&=vn&OkL}U^+O^WxQ4b(G_pt%>A6WAM^lg0TsP?^q2KH>P>pS?eSVx0(_6>pen#!5+yVklKh%5(k)Gagw7T#9q9fiL4u^IMto?f6A>ATh4eW$wC%NqOqKCFEh4WS|W9{j%#yMA6lVx;=yQ)n2S|M`PY4KU77wRRMpM58r3)>7X0sMfx-#}zI1?j?nOOY!&RgP#86&j5!%IRp-|133IC;NW}%9L8#J7_Y;@iN?_Q0UTU_gX^u~Kpg^y6-^x6Z-9fR1_y5)4sPT@-UB%J00-Y8aq$1vIK&Tu1APDo1ULlV0Eb`=4xu_60w{<=2XF`j4&k@v4~awIkkrIs;tg=PP=mw8Ivgg@1$6NM4iUg1^44%zJp>NS0URCz4)44H4wq_hc()FRchDvD?g1Po0f))AhQrz+a7bz5aQO{zxKe||R2>eN(G@gx0Eer9!_~KjL;4Unu$nkbzX1+2H8{-H;V_M6(Ch&mt^p3$-Wm?vA#liO;&A;9aG0yX;YJ+}*U=ohaR7&#fWytVh67Q?;mmJ=!y`=`Zaq0o>lTP%{yFY;OE%0?)A{zR>>`>c?@S5{_qh2fa)Kmt-Jo8`U5Q^67WNby6qDWk$+JHvpW`RVrg#cbe7*&A?95)TVV&F{YzbME2JToAv52R#D3%itAETg|&6|6c+!ws=beZv17*B=qRTzJT38eGEULi|mb3!c6(WrOAHCkz>g=FtU@8T-Ot_fs<<H;>9$CC+!=oKoy)+-aaEwI-{e(~2kFDYWB><M4d{RiS+sSJ8;cg$~B`I_#vPv7f)z?kYox0Ujm?pm5x&Az>FNn-88w7Tz<2h|jf_1p4>CHHc^WgcZXK1;?qHVZz0rJm*dv4sqkCSl7~DV`F9bXntF&Y!%?(ugPBUUCbZOdz=g3C@F+zU6$+G_{6EhK0>eQ(1;%$&7$<G{<hGaS#7;-aZRHM+zB);;UE`Sk9a7a6F6o;Bvlm5%E07GeQ;~o}^eNuS_Fgb!a(nTR^FV6KqnZ3oqyUXRG#MYgclq)E2`gNr6ivjz!njSZ>3XYlf&;`r>c?c6kw{P!dcd^Okov-LB2eO>1r)lwbVdgV&bb@BhWmz7U`6{^WbVRI5+b>a*Wwux82Imo6=nH@G-JGC@AKfgu3ED&he`fn+&S$i-JlHkV!j!1HDS<vDhO%%8-g?n2a((3f0i;#npQx#5M5%zX#P(@{WuMFB<H^42{Mvz9#!q|N0RTV&?Q#oKea{O{^=p!oYYb~{<;ryjx4xSGvogo*KSD#N$~P8Nr3${BZ3DMm<+Wtp`sx3)eO=hEXDh%jvbI2Dg`IW{|v1AKhlGk!^k!zmI`hdR=^RF;XQxFo|y+>UbJm_V<^1jzew6rnO1M`bQ2$ertm7a+PL?y!RsVqiza<9E;qTpGo)TNxCY^t;?H2gEnC8KE3$$Oj1|WMk!V%7GK{xZELE*z0nI9W>0~4!a$3isu<P)p(S|(_g>s$Z;IlRBqp0aDXW>mP(^YIwvr3Diup@IV!U%^5B?z%;SK_!a;{(Tp}T$Y{U}^xm=E{5OD`Qp<p2Bar+$9O2wY?ARY+}jaXRl!lWaf$;E_R1}{0_izKL&fE@80&qKo6XC4*zL^hZN15CLF`xFGq*sgN0Y-)vxK<YzKJJ*AhBMv7ki&Bv!$0buJlcKg9xeSfZ^p^n?<FibB4Hi<d-{bZNy%oq|hAht95sIaGj-ee4Lq~$%aKIZ10QEq@jK{H(V^VZXO-$uQryz@^Pz13KE>l?;EWgeWSJ36(162WfQedb7&-4PUCAms5jyMeuO$6L=%I^z1<6(rHKEG?l8FtZ>GZgasd>-#g(1(KXAjIZyZ!hvwi51$L2*BI8*W+=(Eho0O*X7mWwZIb8g?P)wt00|%XXoG)!{)>8aj6_WbRzy>;Jn-A@l|G6;Q^S)Z5G{0<pjt6LEyc$K0v|K+#avjk&ee>X*M45gnhw0`MOZc+XN)wX<&H1DVb+7qa=+IurFxXC>v+N3*?3?9Jj`x7cG<VILc(5S6KiT&b${kd?q+2@l6gcc;;0^!9gwL2YbtNl4vu-@Q5BIGjKl?;1p((EF9Kwep3wFn`^<R<iGrI8LpnB^bgW6rN1L(vvNCRXxRvUMdh0}Ha5!kD(2q0$>o_;iW>KixyYe=3`=tx0(onZbi2k}7f28Ud>6<~O!)PQFbIdq85CdR#=$9FP~7A+n3Ui)$FVYhJ&QK8<Ez<pY83V*1(At2Vtf-zMmFoE>C}Zs5!YCFlu5%rjBlWo%;@>?^NKK(@1Xcm#5(UTDD5Ed3geY^ZrMU}@f^N1$QG7bXOe)gY-GVF^ZHAm&GHnJ0_^ZjniJ5lowwubJqAc_P+_maf1~UMJicVS=(?Lp@_@VZ8Y>`(bL5;yk8+T+gcr>VDDIp_+4!n+3IzMxHz7Lqw-=afO&f2ltY1X3?Ft7GAIHnjcUJOu?VgOko3~uTz6pMr@9D++C-hEyyLaq7rVI@?@}aTwmxg;6ssGmR9RhWeP#Y+X#@F3trgCQ=zf^VXY6ewD#Q^;Sc?4v!G`9j+?hitjE97y9g5E&b=L@@n!C=U-moPFs1J}Ro*1jCV2@!@9picsBMtnrI7*Yn5TB|_-NjeL$;NUq9=hs7wh$~SQLoBtDLUbg{=a55)^9ZrA4TjFHM!Z3PMX-vP<Z3n&2m~D~Ja{~W$i8d<E>{&-p<wQ;f_qiv3UcM(sR}D81cGT~NF6ZXy*zT|&fO8UHFA4l#O;r{V(yU?vxY`)QgJN0KRhxCae?lkl{qF0YYMphkcHg-k)gTS#hW)q)!s_r4Ud3lX269ms}HR{oMTfAoaM^8!4M{~HJyp5Ol)m^gHCwpN3qSR#LcPq7w^U5$=mP8d=KVs$3lVC_hJvivzPD8U!Td{qH+f^s%E~QXSOJM)xij{40MaFGXev+tB+4Wa0)T}5?K~NuLRueRrJe;=qkJ;aQs#*1(E<b2PFV<-f$RLeAud|C-!~^xAG9yi(M~ob8s81lF%Y~iz7?%NjMAhp7Iz~5rmBI@w$9II5s_Sa0Xm~`V)I$GJp4X$yAVX652_tttRJ>k}G_^S@Eb!`ts*(YY1iV(Xoyb6aM{^l6rXjlL7u5Cis`<YQ{Q+$!X<B6PTREq^Fw7j2Ip`SFBZpWJ?7fxp5zka)S!hu%2(lquYVxY~|yEyo%r0Ug(x`_*bD{{P_FJ@UBw6@IJ>s7oq<BD9?DNj}pu)6U^pT#>WdWdh*uIS(cxPrPkli#e9$MT#JQ+@l0%X_4>nX_R-DjtGDL9f&>FEA(afHurJRrgEhIt6Z8i{Zl6X1d2Tq0jHAf-<BE*nt0LpM5j*^UeMJuM^|{?Z0xqxL?G3=2$I+GZP=5dW_WI3`%awV!8C$u&xH*?e!3}d}!xQtd@8x6REaQ%)xPbTCt$AkN%eZR2p5lKGULV|ZdY|W&=Rxh=G7$Fr-L9bD=L!Ua;Xo)94r&|?_#Q?5=TW2_Mamyjq__gFJRTab)Bm&KkIw0ppNB)8!9L>Tcqd9zOlrV84KWXUn?~7Hjvnw%sm%;{8OKto*eaJs82$lI0B@MmLE&?3d{sdZL@to<h-P>UVvdJdrxaTTJbsVgJE>IIDy6EoOc7>yE&*Vu1E!THDXjW5)usdw-Mv!>OgoC>Z%`b&eS3i%dgY1dt~v4GeaYu_`2zuW0Nl#ub@?<7JTs2{UmeB%QS2YZ{?|PA-R@VO;+CUGK8oa{Nd7~JWdAE)T%TKyBKatik0SXGA(DfyjO3%2>Z2e&3gWMQ5PM%0!^88kg)e`RNHz#tf~@BR*@!Ka8}4j@x3jW|VKcd`Y{&?LY=Zb=v$9D@A(Y`8lwbCvO(rYrc_iERzVXlFH*Z-Nm38-Jebg=Mre)ovth*xXF3Y+HvJqa?GqUj^$FQ<NnQ)C_vYc!#f1`}Yf0Qa4AV`$&1;~aZ0t0xI1JlqZutJuH;jlpEy9S(W!e2^r<1UY6bAn-MDwUG;3@z)gO)1}41JBPWUoVi28T@58Bea3S6Fjn|toO(!{ADz#u+pPwy;ZGO)p}K}7v=#dls>*{AD`OCr}ptFT7OmRSG9gs>sPdasy3i%1FANlXoFR4P}K%iZBWsMs@jmM4XN6Yq77HIVO1MewPD!|S{Hoe#&QRxVZnV=4tK-c&xqgPzZ#MCbn=DeVw$6KDfA96Dt~W65Q3$RAa)HpolYWp3Wq6@wOMSCj8^e#!FHx-JX<oJ6%CT1Vdv!Ii{eE|XOeUc;)#N}uc+%U>G})0eo5CT9^dZXnf&1N_G$67q_c_b+g&@sqV8BpcdVe4&vhp8c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