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e,r,i,o,u,f,c,s,a,h;if(n.d||(n.d=eV(n.g)),s=n.d,t.d||(t.d=eV(t.g)),a=t.d,e=n.f-t.f,u=0,i=1,f=uB.length-1,0==t.b&&-1!=t.g)throw new ni(ol);if(0==s.r())return e$(e);for(r=rQ(s,a),s=i_(s,r),o=(a=i_(a,r)).bb(),a=a.fb(o);;)if(0==(h=ir(a,uB[i]))[1].r())u+=i,i<f&&++i,a=h[0];else{if(1==i)break;i=1}if(!a._().eQ((r4(),uR)))throw new ni("Non-terminating decimal expansion; no exact representable decimal result");return 0>a.r()&&(s=s.cb()),c=e2(e+(o>u?o:u)),s=(i=o-u)>0?(im(),i<uY.length?r3(s,uY[i]):i<uZ.length?ec(s,uZ[i]):ec(s,uZ[1].db(i))):s.eb(-i),new tR(s,c)}function iU(n,t,e){var r,i,o,u,f,c,s,a,h,b,l,g,w,d,_,v,m,y,C;if(0==t.l&&0==t.m&&0==t.h)throw new ni("divide by zero");if(0==n.l&&0==n.m&&0==n.h)return e&&(uu=tN(0,0,0)),tN(0,0,0);if(524288==t.h&&0==t.m&&0==t.l)return 524288==(s=n).h&&0==s.m&&0==s.l?(e&&(uu=tN(0,0,0)),nq((eR(),ug))):(e&&(uu=tN(s.l,s.m,s.h)),tN(0,0,0));if(c=!1,~~t.h>>19!=0&&(t=eq(t),c=!0),u=((b=(a=t).l)&b-1)!=0||((l=a.m)&l-1)!=0||((h=a.h)&h-1)!=0||0==h&&0==l&&0==b?-1:0==h&&0==l&&0!=b?ed(b):0==h&&0!=l&&0==b?ed(l)+22:0!=h&&0==l&&0==b?ed(h)+44:-1,o=!1,i=!1,r=!1,524288==n.h&&0==n.m&&0==n.l){if(i=!0,o=!0,-1!=u)return f=r2(n,u),c&&eG(f),e&&(uu=tN(0,0,0)),f;n=nq((eR(),ub)),r=!0,c=!c}else~~n.h>>19!=0&&(o=!0,n=eq(n),r=!0,c=!c);return -1!=u?(g=n,w=c,d=o,_=r2(g,u),w&&eG(_),e&&(v=g,u<=22?(m=v.l&(1<<u)-1,y=C=0):u<=44?(m=v.l,y=v.m&(1<<u-22)-1,C=0):(m=v.l,y=v.m,C=v.h&(1<<u-44)-1),g=tN(m,y,C),uu=d?eq(g):tN(g.l,g.m,g.h)),_):rL(n,t)?function(n,t,e,r,i,o){var u,f,c,s,a,h,b,l,g,w;for(c=eI(t)-eI(n),u=r$(t,c),f=tN(0,0,0);c>=0&&(!(!((w=(b=n).h-u.h)<0)&&(l=b.l-u.l,!((w+=~~(g=b.m-u.m+(~~l>>22))>>22)<0)&&(b.l=4194303&l,b.m=4194303&g,b.h=1048575&w,1)))||(c<22?f.l|=1<<c:c<44?f.m|=1<<c-22:f.h|=1<<c-44,0!=n.l||0!=n.m||0!=n.h));)a=u.m,h=u.h,s=u.l,u.h=~~h>>>1,u.m=~~a>>>1|(1&h)<<21,u.l=~~s>>>1|(1&a)<<21,--c;return e&&eG(f),o&&(r?(uu=eq(n),i&&(uu=e9(uu,(eR(),ug)))):uu=tN(n.l,n.m,n.h)),f}(r?n:tN(n.l,n.m,n.h),t,c,o,i,e):(e&&(uu=o?eq(n):tN(n.l,n.m,n.h)),tN(0,0,0))}function iP(n){var t=[];for(var e in n){var r=typeof n[e];r!=oq?t[t.length]=r:n[e]instanceof Array?t[t.length]=oR:u&&u.bigdecimal&&u.bigdecimal.BigInteger&&n[e]instanceof u.bigdecimal.BigInteger?t[t.length]=of:u&&u.bigdecimal&&u.bigdecimal.BigDecimal&&n[e]instanceof u.bigdecimal.BigDecimal?t[t.length]=oi:u&&u.bigdecimal&&u.bigdecimal.RoundingMode&&n[e]instanceof u.bigdecimal.RoundingMode?t[t.length]=oC:u&&u.bigdecimal&&u.bigdecimal.MathContext&&n[e]instanceof u.bigdecimal.MathContext?t[t.length]=ov:t[t.length]=oq}return t.join(iX)}function iQ(n,t){var e,r,i,o,u,f,c,s,a,h,b,l,g,w,d,_,v,m,y,C,S,M,x,B,A,N,I;return e=8191&n.l,r=~~n.l>>13|(15&n.m)<<9,i=~~n.m>>4&8191,o=~~n.m>>17|(255&n.h)<<5,u=~~(1048320&n.h)>>8,f=8191&t.l,c=~~t.l>>13|(15&t.m)<<9,s=~~t.m>>4&8191,a=~~t.m>>17|(255&t.h)<<5,h=~~(1048320&t.h)>>8,x=e*f,B=r*f,A=i*f,N=o*f,I=u*f,0!=c&&(B+=e*c,A+=r*c,N+=i*c,I+=o*c),0!=s&&(A+=e*s,N+=r*s,I+=i*s),0!=a&&(N+=e*a,I+=r*a),0!=h&&(I+=e*h),b=(l=4194303&x)+(g=(511&B)<<13),w=(d=~~x>>22)+(_=~~B>>9)+(v=(262143&A)<<4)+(m=(31&N)<<17),y=(C=~~A>>18)+(S=~~N>>5)+(M=(4095&I)<<8),w+=~~b>>22,b&=4194303,y+=~~w>>22,tN(b,w&=4194303,y&=1048575)}function iT(n,t,e){var r,i,o,u,f,c,s,a;if(a=rh(e5(re(e.b),o4))+(t.e>0?t.e:nH((t.b-1)*.3010299956639812)+1)-(n.e>0?n.e:nH((n.b-1)*.3010299956639812)+1),c=i=n.f-t.f,o=1,f=uA.length-1,s=t2(cc,{6:1},17,[(n.d||(n.d=eV(n.g)),n.d)]),0==e.b||0==n.b&&-1!=n.g||0==t.b&&-1!=t.g)return iL(n,t);if(a>0&&(rf(s,0,ec((n.d||(n.d=eV(n.g)),n.d),iA(a))),c+=a),u=(s=ir(s[0],(t.d||(t.d=eV(t.g)),t.d)))[0],0!=s[1].r())r=rc(eK(s[1]),(t.d||(t.d=eV(t.g)),t.d)),u=iE(ec(u,(r4(),uD)),e3(re(s[0].r()*(5+r)))),++c;else for(;!u.gb(0);)if(0==(s=ir(u,uA[o]))[1].r()&&c-o>=i)c-=o,o<f&&++o,u=s[0];else{if(1==o)break;o=1}return new ta(u,e2(c),e)}function ij(n,t){var e;if(e=n.f-t.f,0==n.b&&-1!=n.g){if(e<=0)return eM(t);if(0==t.b&&-1!=t.g)return n}else if(0==t.b&&-1!=t.g&&e>=0)return n;return 0==e?nv(n.b,t.b)+1<54?new th(n.g-t.g,n.f):new tO(ip((n.d||(n.d=eV(n.g)),n.d),(t.d||(t.d=eV(t.g)),t.d)),n.f):e>0?e<um.length&&nv(n.b,t.b+uy[eb(e)])+1<54?new th(n.g-t.g*um[eb(e)],n.f):new tO(ip((n.d||(n.d=eV(n.g)),n.d),tq((t.d||(t.d=eV(t.g)),t.d),eb(e))),n.f):(e=-e)<um.length&&nv(n.b+uy[eb(e)],t.b)+1<54?new th(n.g*um[eb(e)]-t.g,t.f):new tO(ip(tq((n.d||(n.d=eV(n.g)),n.d),eb(e)),(t.d||(t.d=eV(t.g)),t.d)),t.f)}function iF(n,t){var e,r,i,o,u,f,c;if(t2(cc,{6:1},17,[(n.d||(n.d=eV(n.g)),n.d)]),o=n.f-t.f,c=0,e=1,i=uA.length-1,0==t.b&&-1!=t.g)throw new ni(ol);if((t.e>0?t.e:nH((t.b-1)*.3010299956639812)+1)+o>(n.e>0?n.e:nH((n.b-1)*.3010299956639812)+1)+1||0==n.b&&-1!=n.g)r4(),r=uk;else if(0==o)r=i_((n.d||(n.d=eV(n.g)),n.d),(t.d||(t.d=eV(t.g)),t.d));else if(o>0)u=iA(o),r=i_((n.d||(n.d=eV(n.g)),n.d),ec((t.d||(t.d=eV(t.g)),t.d),u)),r=ec(r,u);else{for(u=iA(-o),r=i_(ec((n.d||(n.d=eV(n.g)),n.d),u),(t.d||(t.d=eV(t.g)),t.d));!r.gb(0);)if(0==(f=ir(r,uA[e]))[1].r()&&c-e>=o)c-=e,e<i&&++e,r=f[0];else{if(1==e)break;e=1}o=c}return 0==r.r()?e$(o):new tR(r,e2(o))}function iH(n,t,e,r,i,o){var u,f,c,s,a,h,b,l,g,w,d,_,v,m,y,C;for(w=t$(fx,{6:1},-1,r+1,1),d=t$(fx,{6:1},-1,o+1,1),0!=(f=rW(i[o-1]))?(rE(d,i,0,f),rE(w,e,0,f)):(iD(e,0,w,0,r),iD(i,0,d,0,o)),c=d[o-1],a=t-1,h=r;a>=0;){if(w[h]==c)s=-1;else if(_=e5(r$(tp(re(w[h]),ue),32),tp(re(w[h-1]),ue)),y=r8(_,c),s=nE(y),m=nE(r2(y,32)),0!=s){v=!1,++s;do{if(--s,v)break;l=iQ(tp(re(s),ue),tp(re(d[o-2]),ue)),C=e5(r$(re(m),32),tp(re(w[h-2]),ue)),g=e5(tp(re(m),ue),tp(re(c),ue)),32>rW(nE(rV(g,32)))?v=!0:m=nE(g)}while(rk(tv(l,oZ),tv(C,oZ)))}if(0!=s&&0!=function(n,t,e,r,i){var o,u,f;for(f=0,o=o0,u=o0;f<r;++f)im(),o=e5(iQ(tp(re(e[f]),ue),tp(re(i),ue)),tp(re(nE(o)),ue)),u=e5(e9(tp(re(n[t+f]),ue),tp(o,ue)),u),n[t+f]=nE(u),u=r2(u,32),o=rV(o,32);return u=e5(e9(tp(re(n[t+r]),ue),o),u),n[t+r]=nE(u),nE(r2(u,32))}(w,h-o,d,o,s))for(--s,u=o0,b=0;b<o;++b)u=e5(u,e5(tp(re(w[h-o+b]),ue),tp(re(d[b]),ue))),w[h-o+b]=nE(u),u=rV(u,32);null!=n&&(n[a]=s),--h,--a}return 0!=f?(rj(d,o,w,0,f),d):(iD(w,0,d,0,o),w)}function i$(n,t){var e,r,i,o,u,f,c,s;if(c=nv(t.e,n.e),(i=eC(t))<(o=eC(n))){for(f=t$(fx,{6:1},-1,c,1),r=i,f[i]=t.b[i],u=n_(t.e,o),++r;r<u;++r)f[r]=t.b[r];if(r==t.e)for(;r<n.e;++r)f[r]=n.b[r]}else if(o<i){for(f=t$(fx,{6:1},-1,c,1),r=o,f[o]=-n.b[o],u=n_(n.e,i),++r;r<u;++r)f[r]=~n.b[r];if(r==i)f[r]=~(n.b[r]^-t.b[r]),++r;else{for(;r<i;++r)f[r]=-1;for(;r<t.e;++r)f[r]=t.b[r]}}else{if(r=i,0==(e=n.b[i]^-t.b[i])){for(u=n_(n.e,t.e),++r;r<u&&0==(e=n.b[r]^~t.b[r]);++r);if(0==e){for(;r<n.e&&0==(e=~n.b[r]);++r);for(;r<t.e&&0==(e=~t.b[r]);++r);if(0==e)return c+=1,(f=t$(fx,{6:1},-1,c,1))[c-1]=1,s=new tb(-1,c,f)}}(f=t$(fx,{6:1},-1,c,1))[r]=-e,++r}for(u=n_(t.e,n.e);r<u;++r)f[r]=~(~t.b[r]^n.b[r]);for(;r<n.e;++r)f[r]=n.b[r];for(;r<t.e;++r)f[r]=t.b[r];return s=new tb(-1,c,f),t3(s),s}function iV(){var n,t;for(iV=g,uC=new el(o2,0),uS=new el(o6,0),uM=new el(o0,0),ud=t$(co,{6:1},16,11,0),up=t$(f6,{6:1},-1,100,1),u_=t2(cf,{6:1},-1,[1,5,25,125,625,3125,15625,78125,390625,1953125,9765625,48828125,244140625,1220703125,6103515625,30517578125,152587890625,762939453125,3814697265625,19073486328125,95367431640625,476837158203125,0x878678326eac9]),uv=t$(fx,{6:1},-1,u_.length,1),um=t2(cf,{6:1},-1,[1,10,100,1e3,1e4,1e5,1e6,1e7,1e8,1e9,1e10,1e11,1e12,1e13,1e14,1e15,1e16]),uy=t$(fx,{6:1},-1,um.length,1),ux=t$(co,{6:1},16,11,0),n=0;n<ux.length;++n)rf(ud,n,new el(re(n),0)),rf(ux,n,new el(o0,n)),up[n]=48;for(;n<up.length;++n)up[n]=48;for(t=0;t<uv.length;++t)uv[t]=rP(u_[t]);for(t=0;t<uy.length;++t)uy[t]=rP(um[t]);im(),uA=uX,uB=uZ}function iq(n,t){var e,r,i,o,u,f,c,s,a,h,b,l,g;if(e=0,f=0,u=t.length,a=new Z(t.length),0<u&&43==t.charCodeAt(0)&&(++f,++e,f<u&&(43==t.charCodeAt(f)||45==t.charCodeAt(f))))throw new nd(od+t+iY);for(i=0,h=!1;f<u&&46!=t.charCodeAt(f)&&101!=t.charCodeAt(f)&&69!=t.charCodeAt(f);++f)h||(48==t.charCodeAt(f)?++i:h=!0);if(t1(a,t,e,f),f<u&&46==t.charCodeAt(f)){for(e=++f;f<u&&101!=t.charCodeAt(f)&&69!=t.charCodeAt(f);++f)h||(48==t.charCodeAt(f)?++i:h=!0);n.f=f-e,t1(a,t,e,f)}else n.f=0;if(f<u&&(101==t.charCodeAt(f)||69==t.charCodeAt(f))&&(e=++f,f<u&&43==t.charCodeAt(f)&&++f<u&&45!=t.charCodeAt(f)&&++e,c=t.substr(e,u-e),n.f=n.f-iu(c,10),n.f!=eb(n.f)))throw new nd("Scale out of range.");if((s=a.b.b).length<16){if(n.g=(b=s,((l=uN)||(l=uN=/^[+-]?\d*$/i),l.test(b))?parseInt(b,10):Number.NaN),g=n.g,isNaN(g))throw new nd(od+t+iY);n.b=rP(n.g)}else tT(n,new nX(s));for(o=0,n.e=a.b.b.length-i;o<a.b.b.length&&(45==(r=nW(a.b.b,o))||48==r);++o)--n.e}function iG(n,t,e){var r,i,o,u,f,c,s,a,h,b,l,g,w;if(a=e.b,i=rz(n)-t.q(),s=uA.length-1,h=o=n.f-t.f,l=i-o+1,b=t$(cc,{6:1},17,2,0),0==a||0==n.b&&-1!=n.g||0==t.b&&-1!=t.g)return iF(n,t);if(l<=0)rf(b,0,(r4(),uk));else if(0==o)rf(b,0,i_((n.d||(n.d=eV(n.g)),n.d),(t.d||(t.d=eV(t.g)),t.d)));else if(o>0)rf(b,0,i_((n.d||(n.d=eV(n.g)),n.d),ec((t.d||(t.d=eV(t.g)),t.d),iA(o)))),h=o<(a-l+1>0?a-l+1:0)?o:a-l+1>0?a-l+1:0,rf(b,0,ec(b[0],iA(h)));else if(u=-o<(a-i>0?a-i:0)?-o:a-i>0?a-i:0,b=ir(ec((n.d||(n.d=eV(n.g)),n.d),iA(u)),(t.d||(t.d=eV(t.g)),t.d)),h+=u,u=-h,0!=b[1].r()&&u>0&&(0==(r=new nj(b[1]).q()+u-t.q())&&(rf(b,1,i_(ec(b[1],iA(u)),(t.d||(t.d=eV(t.g)),t.d))),r=np(b[1].r())),r>0))throw new ni(og);if(0==b[0].r())return e$(o);for(w=b[0],g=(c=new nj(b[0])).q(),f=1;!w.gb(0);)if(0==(b=ir(w,uA[f]))[1].r()&&(g-f>=a||h-f>=o))g-=f,h-=f,f<s&&++f,w=b[0];else{if(1==f)break;f=1}if(g>a)throw new ni(og);return c.f=e2(h),tT(c,w),c}function iz(){var n;for(n=0,iz=g,u0=t2(fx,{6:1},-1,[0,0,1854,1233,927,747,627,543,480,431,393,361,335,314,295,279,265,253,242,232,223,216,181,169,158,150,145,140,136,132,127,123,119,114,110,105,101,96,92,87,83,78,73,69,64,59,54,49,44,38,32,26,1]),u4=t2(fx,{6:1},-1,[2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021]),u2=t$(cc,{6:1},17,u4.length,0);n<u4.length;++n)rf(u2,n,e3(re(u4[n])))}function 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