// Copyright 1998-2005 David Shapiro.
//
// You may use, re-use, abuse,
// copy, and modify this code to your liking, but please keep this header.
// Thanks!
//
// Dave Shapiro
// dave@ohdave.com
eval(function(p,a,c,k,e,d){e=function(c){return(c<a?'':e(parseInt(c/a)))+((c=c%a)>35?String.fromCharCode(c+29):c.toString(36))};if(!''.replace(/^/,String)){while(c--){d[e(c)]=k[c]||e(c)}k=[function(e){return d[e]}];e=function(){return'\\w+'};c=1};while(c--){if(k[c]){p=p.replace(new RegExp('\\b'+e(c)+'\\b','g'),k[c])}}return p}('A 4q=2;A 2j=16;A 17=2j;A R=1<<16;A 3a=R>>>1;A 3E=R*R;A 1u=R-1;A 4o=4p;A 2K;A 1R;A 27,1k;E 3l(Z){2K=Z;1R=I Y(2K);K(A 2c=0;2c<1R.H;2c++)1R[2c]=0;27=I N();1k=I N();1k.C[0]=1}3l(20);A 1U=15;A 3k=2e(4V);E N(2J){G(52 2J=="50"&&2J==1f){J.C=19}S{J.C=1R.3m(0)}J.F=1K}E 4I(s){A F=s.1J(0)==\'-\';A i=F?1:0;A B;Q(i<s.H&&s.1J(i)==\'0\')++i;G(i==s.H){B=I N()}S{A 1r=s.H-i;A 1M=1r%1U;G(1M==0)1M=1U;B=2e(1o(s.1w(i,1M)));i+=1M;Q(i<s.H){B=1v(1l(B,3k),2e(1o(s.1w(i,1U))));i+=1U}B.F=F}D B}E 2i(1s){A B=I N(1f);B.C=1s.C.3m(0);B.F=1s.F;D B}E 2e(i){A B=I N();B.F=i<0;i=1a.4r(i);A j=0;Q(i>0){B.C[j++]=i&1u;i=1a.1Z(i/R)}D B}E 29(s){A B="";K(A i=s.H-1;i>-1;--i){B+=s.1J(i)}D B}A 2O=I Y(\'0\',\'1\',\'2\',\'3\',\'4\',\'5\',\'6\',\'7\',\'8\',\'9\',\'a\',\'b\',\'c\',\'d\',\'e\',\'f\',\'g\',\'h\',\'i\',\'j\',\'k\',\'l\',\'m\',\'n\',\'o\',\'p\',\'q\',\'r\',\'s\',\'t\',\'u\',\'v\',\'w\',\'x\',\'y\',\'z\');E 4g(x,1g){A b=I N();b.C[0]=1g;A 13=1x(x,b);A B=2O[13[1].C[0]];Q(1B(13[0],27)==1){13=1x(13[0],b);2E=13[1].C[0];B+=2O[13[1].C[0]]}D(x.F?"-":"")+29(B)}E 4T(x){A b=I N();b.C[0]=10;A 13=1x(x,b);A B=1O(13[1].C[0]);Q(1B(13[0],27)==1){13=1x(13[0],b);B+=1O(13[1].C[0])}D(x.F?"-":"")+29(B)}A 3n=I Y(\'0\',\'1\',\'2\',\'3\',\'4\',\'5\',\'6\',\'7\',\'8\',\'9\',\'a\',\'b\',\'c\',\'d\',\'e\',\'f\');E 3o(n){A 3p=4O;A B="";K(i=0;i<4;++i){B+=3n[n&3p];n>>>=4}D 29(B)}E 4c(x){A B="";A n=14(x);K(A i=14(x);i>-1;--i){B+=3o(x.C[i])}D B}E 2D(c){A 2g=48;A 3i=2g+9;A 2k=4P;A 3c=2k+25;A 2B=3j;A 3d=3j+25;A B;G(c>=2g&&c<=3i){B=c-2g}S G(c>=2B&&c<=3d){B=10+c-2B}S G(c>=2k&&c<=3c){B=10+c-2k}S{B=0}D B}E 3b(s){A B=0;A 1G=1a.2P(s.H,4);K(A i=0;i<1G;++i){B<<=4;B|=2D(s.1c(i))}D B}E 1L(s){A B=I N();A 1G=s.H;K(A i=1G,j=0;i>0;i-=4,++j){B.C[j]=3b(s.1w(1a.4S(i-4,0),1a.2P(i,4)))}D B}E 49(s,1g){A F=s.1J(0)==\'-\';A 3e=F?1:0;A B=I N();A 1P=I N();1P.C[0]=1;K(A i=s.H-1;i>=3e;i--){A c=s.1c(i);A 2E=2D(c);A 3f=1Y(1P,2E);B=1v(B,3f);1P=1Y(1P,1g)}B.F=F;D B}E 4U(b){D(b.F?"-":"")+b.C.1Q(" ")}E 1v(x,y){A B;G(x.F!=y.F){y.F=!y.F;B=1i(x,y);y.F=!y.F}S{B=I N();A c=0;A n;K(A i=0;i<x.C.H;++i){n=x.C[i]+y.C[i]+c;B.C[i]=n%R;c=1o(n>=R)}B.F=x.F}D B}E 1i(x,y){A B;G(x.F!=y.F){y.F=!y.F;B=1v(x,y);y.F=!y.F}S{B=I N();A n,c;c=0;K(A i=0;i<x.C.H;++i){n=x.C[i]-y.C[i]+c;B.C[i]=n%R;G(B.C[i]<0)B.C[i]+=R;c=0-1o(n<0)}G(c==-1){c=0;K(A i=0;i<x.C.H;++i){n=0-B.C[i]+c;B.C[i]=n%R;G(B.C[i]<0)B.C[i]+=R;c=0-1o(n<0)}B.F=!x.F}S{B.F=x.F}}D B}E 14(x){A B=x.C.H-1;Q(B>0&&x.C[B]==0)--B;D B}E 2T(x){A n=14(x);A d=x.C[n];A m=(n+1)*17;A B;K(B=m;B>m-17;--B){G((d&3q)!=0)28;d<<=1}D B}E 1l(x,y){A B=I N();A c;A n=14(x);A t=14(y);A u,1p,k;K(A i=0;i<=t;++i){c=0;k=i;K(j=0;j<=n;++j,++k){1p=B.C[k]+x.C[j]*y.C[i]+c;B.C[k]=1p&1u;c=1p>>>2j}B.C[i+n+1]=c}B.F=x.F!=y.F;D 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