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this._expand(n+1),this.words[n]=e?this.words[n]|1<<i:this.words[n]&~(1<<i),this.strip()},o.prototype.iadd=function(t){var e,n,r;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(n=this,r=t):(n=t,r=this);for(var i=0,o=0;o<r.length;o++)e=(0|n.words[o])+(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<n.length;o++)e=(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=n.length,0!==i)this.words[this.length]=i,this.length++;else if(n!==this)for(;o<n.length;o++)this.words[o]=n.words[o];return this},o.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},o.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var n,r,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(n=this,r=t):(n=t,r=this);for(var o=0,a=0;a<r.length;a++)o=(e=(0|n.words[a])-(0|r.words[a])+o)>>26,this.words[a]=67108863&e;for(;0!==o&&a<n.length;a++)o=(e=(0|n.words[a])+o)>>26,this.words[a]=67108863&e;if(0===o&&a<n.length&&n!==this)for(;a<n.length;a++)this.words[a]=n.words[a];return this.length=Math.max(this.length,a),n!==this&&(this.negative=1),this.strip()},o.prototype.sub=function(t){return this.clone().isub(t)};var d=function(t,e,n){var r,i,o,a=t.words,s=e.words,u=n.words,l=0,c=0|a[0],h=8191&c,f=c>>>13,d=0|a[1],p=8191&d,m=d>>>13,v=0|a[2],g=8191&v,y=v>>>13,A=0|a[3],$=8191&A,w=A>>>13,b=0|a[4],E=8191&b,M=b>>>13,T=0|a[5],V=8191&T,x=T>>>13,_=0|a[6],B=8191&_,W=_>>>13,I=0|a[7],S=8191&I,k=I>>>13,O=0|a[8],N=8191&O,C=O>>>13,R=0|a[9],D=8191&R,F=R>>>13,U=0|s[0],P=8191&U,Q=U>>>13,L=0|s[1],j=8191&L,z=L>>>13,K=0|s[2],q=8191&K,G=K>>>13,H=0|s[3],Y=8191&H,X=H>>>13,Z=0|s[4],J=8191&Z,tt=Z>>>13,et=0|s[5],nt=8191&et,rt=et>>>13,it=0|s[6],ot=8191&it,at=it>>>13,st=0|s[7],ut=8191&st,lt=st>>>13,ct=0|s[8],ht=8191&ct,ft=ct>>>13,dt=0|s[9],pt=8191&dt,mt=dt>>>13;n.negative=t.negative^e.negative,n.length=19;var vt=(l+(r=Math.imul(h,P))|0)+((8191&(i=(i=Math.imul(h,Q))+Math.imul(f,P)|0))<<13)|0;l=((o=Math.imul(f,Q))+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,r=Math.imul(p,P),i=(i=Math.imul(p,Q))+Math.imul(m,P)|0,o=Math.imul(m,Q);var gt=(l+(r=r+Math.imul(h,j)|0)|0)+((8191&(i=(i=i+Math.imul(h,z)|0)+Math.imul(f,j)|0))<<13)|0;l=((o=o+Math.imul(f,z)|0)+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,r=Math.imul(g,P),i=(i=Math.imul(g,Q))+Math.imul(y,P)|0,o=Math.imul(y,Q),r=r+Math.imul(p,j)|0,i=(i=i+Math.imul(p,z)|0)+Math.imul(m,j)|0,o=o+Math.imul(m,z)|0;var yt=(l+(r=r+Math.imul(h,q)|0)|0)+((8191&(i=(i=i+Math.imul(h,G)|0)+Math.imul(f,q)|0))<<13)|0;l=((o=o+Math.imul(f,G)|0)+(i>>>13)|0)+(yt>>>26)|0,yt&=67108863,r=Math.imul($,P),i=(i=Math.imul($,Q))+Math.imul(w,P)|0,o=Math.imul(w,Q),r=r+Math.imul(g,j)|0,i=(i=i+Math.imul(g,z)|0)+Math.imul(y,j)|0,o=o+Math.imul(y,z)|0,r=r+Math.imul(p,q)|0,i=(i=i+Math.imul(p,G)|0)+Math.imul(m,q)|0,o=o+Math.imul(m,G)|0;var At=(l+(r=r+Math.imul(h,Y)|0)|0)+((8191&(i=(i=i+Math.imul(h,X)|0)+Math.imul(f,Y)|0))<<13)|0;l=((o=o+Math.imul(f,X)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,r=Math.imul(E,P),i=(i=Math.imul(E,Q))+Math.imul(M,P)|0,o=Math.imul(M,Q),r=r+Math.imul($,j)|0,i=(i=i+Math.imul($,z)|0)+Math.imul(w,j)|0,o=o+Math.imul(w,z)|0,r=r+Math.imul(g,q)|0,i=(i=i+Math.imul(g,G)|0)+Math.imul(y,q)|0,o=o+Math.imul(y,G)|0,r=r+Math.imul(p,Y)|0,i=(i=i+Math.imul(p,X)|0)+Math.imul(m,Y)|0,o=o+Math.imul(m,X)|0;var $t=(l+(r=r+Math.imul(h,J)|0)|0)+((8191&(i=(i=i+Math.imul(h,tt)|0)+Math.imul(f,J)|0))<<13)|0;l=((o=o+Math.imul(f,tt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,r=Math.imul(V,P),i=(i=Math.imul(V,Q))+Math.imul(x,P)|0,o=Math.imul(x,Q),r=r+Math.imul(E,j)|0,i=(i=i+Math.imul(E,z)|0)+Math.imul(M,j)|0,o=o+Math.imul(M,z)|0,r=r+Math.imul($,q)|0,i=(i=i+Math.imul($,G)|0)+Math.imul(w,q)|0,o=o+Math.imul(w,G)|0,r=r+Math.imul(g,Y)|0,i=(i=i+Math.imul(g,X)|0)+Math.imul(y,Y)|0,o=o+Math.imul(y,X)|0,r=r+Math.imul(p,J)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(m,J)|0,o=o+Math.imul(m,tt)|0;var wt=(l+(r=r+Math.imul(h,nt)|0)|0)+((8191&(i=(i=i+Math.imul(h,rt)|0)+Math.imul(f,nt)|0))<<13)|0;l=((o=o+Math.imul(f,rt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,r=Math.imul(B,P),i=(i=Math.imul(B,Q))+Math.imul(W,P)|0,o=Math.imul(W,Q),r=r+Math.imul(V,j)|0,i=(i=i+Math.imul(V,z)|0)+Math.imul(x,j)|0,o=o+Math.imul(x,z)|0,r=r+Math.imul(E,q)|0,i=(i=i+Math.imul(E,G)|0)+Math.imul(M,q)|0,o=o+Math.imul(M,G)|0,r=r+Math.imul($,Y)|0,i=(i=i+Math.imul($,X)|0)+Math.imul(w,Y)|0,o=o+Math.imul(w,X)|0,r=r+Math.imul(g,J)|0,i=(i=i+Math.imul(g,tt)|0)+Math.imul(y,J)|0,o=o+Math.imul(y,tt)|0,r=r+Math.imul(p,nt)|0,i=(i=i+Math.imul(p,rt)|0)+Math.imul(m,nt)|0,o=o+Math.imul(m,rt)|0;var bt=(l+(r=r+Math.imul(h,ot)|0)|0)+((8191&(i=(i=i+Math.imul(h,at)|0)+Math.imul(f,ot)|0))<<13)|0;l=((o=o+Math.imul(f,at)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,r=Math.imul(S,P),i=(i=Math.imul(S,Q))+Math.imul(k,P)|0,o=Math.imul(k,Q),r=r+Math.imul(B,j)|0,i=(i=i+Math.imul(B,z)|0)+Math.imul(W,j)|0,o=o+Math.imul(W,z)|0,r=r+Math.imul(V,q)|0,i=(i=i+Math.imul(V,G)|0)+Math.imul(x,q)|0,o=o+Math.imul(x,G)|0,r=r+Math.imul(E,Y)|0,i=(i=i+Math.imul(E,X)|0)+Math.imul(M,Y)|0,o=o+Math.imul(M,X)|0,r=r+Math.imul($,J)|0,i=(i=i+Math.imul($,tt)|0)+Math.imul(w,J)|0,o=o+Math.imul(w,tt)|0,r=r+Math.imul(g,nt)|0,i=(i=i+Math.imul(g,rt)|0)+Math.imul(y,nt)|0,o=o+Math.imul(y,rt)|0,r=r+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,at)|0)+Math.imul(m,ot)|0,o=o+Math.imul(m,at)|0;var Et=(l+(r=r+Math.imul(h,ut)|0)|0)+((8191&(i=(i=i+Math.imul(h,lt)|0)+Math.imul(f,ut)|0))<<13)|0;l=((o=o+Math.imul(f,lt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,r=Math.imul(N,P),i=(i=Math.imul(N,Q))+Math.imul(C,P)|0,o=Math.imul(C,Q),r=r+Math.imul(S,j)|0,i=(i=i+Math.imul(S,z)|0)+Math.imul(k,j)|0,o=o+Math.imul(k,z)|0,r=r+Math.imul(B,q)|0,i=(i=i+Math.imul(B,G)|0)+Math.imul(W,q)|0,o=o+Math.imul(W,G)|0,r=r+Math.imul(V,Y)|0,i=(i=i+Math.imul(V,X)|0)+Math.imul(x,Y)|0,o=o+Math.imul(x,X)|0,r=r+Math.imul(E,J)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(M,J)|0,o=o+Math.imul(M,tt)|0,r=r+Math.imul($,nt)|0,i=(i=i+Math.imul($,rt)|0)+Math.imul(w,nt)|0,o=o+Math.imul(w,rt)|0,r=r+Math.imul(g,ot)|0,i=(i=i+Math.imul(g,at)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,at)|0,r=r+Math.imul(p,ut)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(m,ut)|0,o=o+Math.imul(m,lt)|0;var Mt=(l+(r=r+Math.imul(h,ht)|0)|0)+((8191&(i=(i=i+Math.imul(h,ft)|0)+Math.imul(f,ht)|0))<<13)|0;l=((o=o+Math.imul(f,ft)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,r=Math.imul(D,P),i=(i=Math.imul(D,Q))+Math.imul(F,P)|0,o=Math.imul(F,Q),r=r+Math.imul(N,j)|0,i=(i=i+Math.imul(N,z)|0)+Math.imul(C,j)|0,o=o+Math.imul(C,z)|0,r=r+Math.imul(S,q)|0,i=(i=i+Math.imul(S,G)|0)+Math.imul(k,q)|0,o=o+Math.imul(k,G)|0,r=r+Math.imul(B,Y)|0,i=(i=i+Math.imul(B,X)|0)+Math.imul(W,Y)|0,o=o+Math.imul(W,X)|0,r=r+Math.imul(V,J)|0,i=(i=i+Math.imul(V,tt)|0)+Math.imul(x,J)|0,o=o+Math.imul(x,tt)|0,r=r+Math.imul(E,nt)|0,i=(i=i+Math.imul(E,rt)|0)+Math.imul(M,nt)|0,o=o+Math.imul(M,rt)|0,r=r+Math.imul($,ot)|0,i=(i=i+Math.imul($,at)|0)+Math.imul(w,ot)|0,o=o+Math.imul(w,at)|0,r=r+Math.imul(g,ut)|0,i=(i=i+Math.imul(g,lt)|0)+Math.imul(y,ut)|0,o=o+Math.imul(y,lt)|0,r=r+Math.imul(p,ht)|0,i=(i=i+Math.imul(p,ft)|0)+Math.imul(m,ht)|0,o=o+Math.imul(m,ft)|0;var Tt=(l+(r=r+Math.imul(h,pt)|0)|0)+((8191&(i=(i=i+Math.imul(h,mt)|0)+Math.imul(f,pt)|0))<<13)|0;l=((o=o+Math.imul(f,mt)|0)+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,r=Math.imul(D,j),i=(i=Math.imul(D,z))+Math.imul(F,j)|0,o=Math.imul(F,z),r=r+Math.imul(N,q)|0,i=(i=i+Math.imul(N,G)|0)+Math.imul(C,q)|0,o=o+Math.imul(C,G)|0,r=r+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,X)|0)+Math.imul(k,Y)|0,o=o+Math.imul(k,X)|0,r=r+Math.imul(B,J)|0,i=(i=i+Math.imul(B,tt)|0)+Math.imul(W,J)|0,o=o+Math.imul(W,tt)|0,r=r+Math.imul(V,nt)|0,i=(i=i+Math.imul(V,rt)|0)+Math.imul(x,nt)|0,o=o+Math.imul(x,rt)|0,r=r+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,at)|0)+Math.imul(M,ot)|0,o=o+Math.imul(M,at)|0,r=r+Math.imul($,ut)|0,i=(i=i+Math.imul($,lt)|0)+Math.imul(w,ut)|0,o=o+Math.imul(w,lt)|0,r=r+Math.imul(g,ht)|0,i=(i=i+Math.imul(g,ft)|0)+Math.imul(y,ht)|0,o=o+Math.imul(y,ft)|0;var Vt=(l+(r=r+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,mt)|0)+Math.imul(m,pt)|0))<<13)|0;l=((o=o+Math.imul(m,mt)|0)+(i>>>13)|0)+(Vt>>>26)|0,Vt&=67108863,r=Math.imul(D,q),i=(i=Math.imul(D,G))+Math.imul(F,q)|0,o=Math.imul(F,G),r=r+Math.imul(N,Y)|0,i=(i=i+Math.imul(N,X)|0)+Math.imul(C,Y)|0,o=o+Math.imul(C,X)|0,r=r+Math.imul(S,J)|0,i=(i=i+Math.imul(S,tt)|0)+Math.imul(k,J)|0,o=o+Math.imul(k,tt)|0,r=r+Math.imul(B,nt)|0,i=(i=i+Math.imul(B,rt)|0)+Math.imul(W,nt)|0,o=o+Math.imul(W,rt)|0,r=r+Math.imul(V,ot)|0,i=(i=i+Math.imul(V,at)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,at)|0,r=r+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(M,ut)|0,o=o+Math.imul(M,lt)|0,r=r+Math.imul($,ht)|0,i=(i=i+Math.imul($,ft)|0)+Math.imul(w,ht)|0,o=o+Math.imul(w,ft)|0;var xt=(l+(r=r+Math.imul(g,pt)|0)|0)+((8191&(i=(i=i+Math.imul(g,mt)|0)+Math.imul(y,pt)|0))<<13)|0;l=((o=o+Math.imul(y,mt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,r=Math.imul(D,Y),i=(i=Math.imul(D,X))+Math.imul(F,Y)|0,o=Math.imul(F,X),r=r+Math.imul(N,J)|0,i=(i=i+Math.imul(N,tt)|0)+Math.imul(C,J)|0,o=o+Math.imul(C,tt)|0,r=r+Math.imul(S,nt)|0,i=(i=i+Math.imul(S,rt)|0)+Math.imul(k,nt)|0,o=o+Math.imul(k,rt)|0,r=r+Math.imul(B,ot)|0,i=(i=i+Math.imul(B,at)|0)+Math.imul(W,ot)|0,o=o+Math.imul(W,at)|0,r=r+Math.imul(V,ut)|0,i=(i=i+Math.imul(V,lt)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,lt)|0,r=r+Math.imul(E,ht)|0,i=(i=i+Math.imul(E,ft)|0)+Math.imul(M,ht)|0,o=o+Math.imul(M,ft)|0;var _t=(l+(r=r+Math.imul($,pt)|0)|0)+((8191&(i=(i=i+Math.imul($,mt)|0)+Math.imul(w,pt)|0))<<13)|0;l=((o=o+Math.imul(w,mt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,r=Math.imul(D,J),i=(i=Math.imul(D,tt))+Math.imul(F,J)|0,o=Math.imul(F,tt),r=r+Math.imul(N,nt)|0,i=(i=i+Math.imul(N,rt)|0)+Math.imul(C,nt)|0,o=o+Math.imul(C,rt)|0,r=r+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,at)|0)+Math.imul(k,ot)|0,o=o+Math.imul(k,at)|0,r=r+Math.imul(B,ut)|0,i=(i=i+Math.imul(B,lt)|0)+Math.imul(W,ut)|0,o=o+Math.imul(W,lt)|0,r=r+Math.imul(V,ht)|0,i=(i=i+Math.imul(V,ft)|0)+Math.imul(x,ht)|0,o=o+Math.imul(x,ft)|0;var Bt=(l+(r=r+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,mt)|0)+Math.imul(M,pt)|0))<<13)|0;l=((o=o+Math.imul(M,mt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,r=Math.imul(D,nt),i=(i=Math.imul(D,rt))+Math.imul(F,nt)|0,o=Math.imul(F,rt),r=r+Math.imul(N,ot)|0,i=(i=i+Math.imul(N,at)|0)+Math.imul(C,ot)|0,o=o+Math.imul(C,at)|0,r=r+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(k,ut)|0,o=o+Math.imul(k,lt)|0,r=r+Math.imul(B,ht)|0,i=(i=i+Math.imul(B,ft)|0)+Math.imul(W,ht)|0,o=o+Math.imul(W,ft)|0;var Wt=(l+(r=r+Math.imul(V,pt)|0)|0)+((8191&(i=(i=i+Math.imul(V,mt)|0)+Math.imul(x,pt)|0))<<13)|0;l=((o=o+Math.imul(x,mt)|0)+(i>>>13)|0)+(Wt>>>26)|0,Wt&=67108863,r=Math.imul(D,ot),i=(i=Math.imul(D,at))+Math.imul(F,ot)|0,o=Math.imul(F,at),r=r+Math.imul(N,ut)|0,i=(i=i+Math.imul(N,lt)|0)+Math.imul(C,ut)|0,o=o+Math.imul(C,lt)|0,r=r+Math.imul(S,ht)|0,i=(i=i+Math.imul(S,ft)|0)+Math.imul(k,ht)|0,o=o+Math.imul(k,ft)|0;var It=(l+(r=r+Math.imul(B,pt)|0)|0)+((8191&(i=(i=i+Math.imul(B,mt)|0)+Math.imul(W,pt)|0))<<13)|0;l=((o=o+Math.imul(W,mt)|0)+(i>>>13)|0)+(It>>>26)|0,It&=67108863,r=Math.imul(D,ut),i=(i=Math.imul(D,lt))+Math.imul(F,ut)|0,o=Math.imul(F,lt),r=r+Math.imul(N,ht)|0,i=(i=i+Math.imul(N,ft)|0)+Math.imul(C,ht)|0,o=o+Math.imul(C,ft)|0;var St=(l+(r=r+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,mt)|0)+Math.imul(k,pt)|0))<<13)|0;l=((o=o+Math.imul(k,mt)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,r=Math.imul(D,ht),i=(i=Math.imul(D,ft))+Math.imul(F,ht)|0,o=Math.imul(F,ft);var kt=(l+(r=r+Math.imul(N,pt)|0)|0)+((8191&(i=(i=i+Math.imul(N,mt)|0)+Math.imul(C,pt)|0))<<13)|0;l=((o=o+Math.imul(C,mt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863;var Ot=(l+(r=Math.imul(D,pt))|0)+((8191&(i=(i=Math.imul(D,mt))+Math.imul(F,pt)|0))<<13)|0;return l=((o=Math.imul(F,mt))+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,u[0]=vt,u[1]=gt,u[2]=yt,u[3]=At,u[4]=$t,u[5]=wt,u[6]=bt,u[7]=Et,u[8]=Mt,u[9]=Tt,u[10]=Vt,u[11]=xt,u[12]=_t,u[13]=Bt,u[14]=Wt,u[15]=It,u[16]=St,u[17]=kt,u[18]=Ot,0!==l&&(u[19]=l,n.length++),n};function p(t,e,n){return(new m).mulp(t,e,n)}function m(t,e){this.x=t,this.y=e}Math.imul||(d=f),o.prototype.mulTo=function(t,e){var n=this.length+t.length;return 10===this.length&&10===t.length?d(this,t,e):n<63?f(this,t,e):n<1024?function(t,e,n){n.negative=e.negative^t.negative,n.length=t.length+e.length;for(var r=0,i=0,o=0;o<n.length-1;o++){var a=i;i=0;for(var s=67108863&r,u=Math.min(o,e.length-1),l=Math.max(0,o-t.length+1);l<=u;l++){var c=o-l,h=(0|t.words[c])*(0|e.words[l]),f=67108863&h;s=67108863&(f=f+s|0),i+=(a=(a=a+(h/67108864|0)|0)+(f>>>26)|0)>>>26,a&=67108863}n.words[o]=s,r=a,a=i}return 0!==r?n.words[o]=r:n.length--,n.strip()}(this,t,e):p(this,t,e)},m.prototype.makeRBT=function(t){for(var e=new 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i=8192*Math.round(t[2*r+1]/e)+Math.round(t[2*r]/e)+n;t[r]=67108863&i,n=i<67108864?0:i/67108864|0}return t},m.prototype.convert13b=function(t,e,n,i){for(var o=0,a=0;a<e;a++)o+=0|t[a],n[2*a]=8191&o,o>>>=13,n[2*a+1]=8191&o,o>>>=13;for(a=2*e;a<i;++a)n[a]=0;r(0===o),r(0==(-8192&o))},m.prototype.stub=function(t){for(var e=new Array(t),n=0;n<t;n++)e[n]=0;return e},m.prototype.mulp=function(t,e,n){var r=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(r),o=this.stub(r),a=new Array(r),s=new Array(r),u=new Array(r),l=new Array(r),c=new Array(r),h=new Array(r),f=n.words;f.length=r,this.convert13b(t.words,t.length,a,r),this.convert13b(e.words,e.length,l,r),this.transform(a,o,s,u,r,i),this.transform(l,o,c,h,r,i);for(var d=0;d<r;d++){var p=s[d]*c[d]-u[d]*h[d];u[d]=s[d]*h[d]+u[d]*c[d],s[d]=p}return this.conjugate(s,u,r),this.transform(s,u,f,o,r,i),this.conjugate(f,o,r),this.normalize13b(f,r),n.negative=t.negative^e.negative,n.length=t.length+e.length,n.strip()},o.prototype.mul=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},o.prototype.mulf=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),p(this,t,e)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){r("number"==typeof t),r(t<67108864);for(var e=0,n=0;n<this.length;n++){var i=(0|this.words[n])*t,o=(67108863&i)+(67108863&e);e>>=26,e+=i/67108864|0,e+=o>>>26,this.words[n]=67108863&o}return 0!==e&&(this.words[n]=e,this.length++),this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),n=0;n<e.length;n++){var r=n/26|0,i=n%26;e[n]=(t.words[r]&1<<i)>>>i}return e}(t);if(0===e.length)return new o(1);for(var n=this,r=0;r<e.length&&0===e[r];r++,n=n.sqr());if(++r<e.length)for(var 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h=0|this.words[l];this.words[l]=c<<26-o|h>>>o,c=h&s}return u&&0!==c&&(u.words[u.length++]=c),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},o.prototype.ishrn=function(t,e,n){return r(0===this.negative),this.iushrn(t,e,n)},o.prototype.shln=function(t){return this.clone().ishln(t)},o.prototype.ushln=function(t){return this.clone().iushln(t)},o.prototype.shrn=function(t){return this.clone().ishrn(t)},o.prototype.ushrn=function(t){return this.clone().iushrn(t)},o.prototype.testn=function(t){r("number"==typeof t&&t>=0);var e=t%26,n=(t-e)/26,i=1<<e;return!(this.length<=n)&&!!(this.words[n]&i)},o.prototype.imaskn=function(t){r("number"==typeof t&&t>=0);var e=t%26,n=(t-e)/26;if(r(0===this.negative,"imaskn works only with positive numbers"),this.length<=n)return this;if(0!==e&&n++,this.length=Math.min(n,this.length),0!==e){var i=67108863^67108863>>>e<<e;this.words[this.length-1]&=i}return this.strip()},o.prototype.maskn=function(t){return this.clone().imaskn(t)},o.prototype.iaddn=function(t){return r("number"==typeof t),r(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},o.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},o.prototype.isubn=function(t){if(r("number"==typeof t),r(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},o.prototype.addn=function(t){return this.clone().iaddn(t)},o.prototype.subn=function(t){return this.clone().isubn(t)},o.prototype.iabs=function(){return this.negative=0,this},o.prototype.abs=function(){return this.clone().iabs()},o.prototype._ishlnsubmul=function(t,e,n){var i,o,a=t.length+n;this._expand(a);var s=0;for(i=0;i<t.length;i++){o=(0|this.words[i+n])+s;var u=(0|t.words[i])*e;s=((o-=67108863&u)>>26)-(u/67108864|0),this.words[i+n]=67108863&o}for(;i<this.length-n;i++)s=(o=(0|this.words[i+n])+s)>>26,this.words[i+n]=67108863&o;if(0===s)return this.strip();for(r(-1===s),s=0,i=0;i<this.length;i++)s=(o=-(0|this.words[i])+s)>>26,this.words[i]=67108863&o;return this.negative=1,this.strip()},o.prototype._wordDiv=function(t,e){var n=(this.length,t.length),r=this.clone(),i=t,a=0|i.words[i.length-1];0!==(n=26-this._countBits(a))&&(i=i.ushln(n),r.iushln(n),a=0|i.words[i.length-1]);var s,u=r.length-i.length;if("mod"!==e){(s=new o(null)).length=u+1,s.words=new Array(s.length);for(var l=0;l<s.length;l++)s.words[l]=0}var c=r.clone()._ishlnsubmul(i,1,u);0===c.negative&&(r=c,s&&(s.words[u]=1));for(var h=u-1;h>=0;h--){var f=67108864*(0|r.words[i.length+h])+(0|r.words[i.length+h-1]);for(f=Math.min(f/a|0,67108863),r._ishlnsubmul(i,f,h);0!==r.negative;)f--,r.negative=0,r._ishlnsubmul(i,1,h),r.isZero()||(r.negative^=1);s&&(s.words[h]=f)}return s&&s.strip(),r.strip(),"div"!==e&&0!==n&&r.iushrn(n),{div:s||null,mod:r}},o.prototype.divmod=function(t,e,n){return r(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,e),"mod"!==e&&(i=s.div.neg()),"div"!==e&&(a=s.mod.neg(),n&&0!==a.negative&&a.iadd(t)),{div:i,mod:a}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),e),"mod"!==e&&(i=s.div.neg()),{div:i,mod:s.mod}):0!=(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),e),"div"!==e&&(a=s.mod.neg(),n&&0!==a.negative&&a.isub(t)),{div:s.div,mod:a}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new o(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modn(t.words[0]))}:this._wordDiv(t,e);var i,a,s},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var n=0!==e.div.negative?e.mod.isub(t):e.mod,r=t.ushrn(1),i=t.andln(1),o=n.cmp(r);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},o.prototype.modn=function(t){r(t<=67108863);for(var e=(1<<26)%t,n=0,i=this.length-1;i>=0;i--)n=(e*n+(0|this.words[i]))%t;return n},o.prototype.idivn=function(t){r(t<=67108863);for(var e=0,n=this.length-1;n>=0;n--){var i=(0|this.words[n])+67108864*e;this.words[n]=i/t|0,e=i%t}return this.strip()},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){r(0===t.negative),r(!t.isZero());var e=this,n=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var i=new o(1),a=new o(0),s=new o(0),u=new o(1),l=0;e.isEven()&&n.isEven();)e.iushrn(1),n.iushrn(1),++l;for(var c=n.clone(),h=e.clone();!e.isZero();){for(var f=0,d=1;0==(e.words[0]&d)&&f<26;++f,d<<=1);if(f>0)for(e.iushrn(f);f-- >0;)(i.isOdd()||a.isOdd())&&(i.iadd(c),a.isub(h)),i.iushrn(1),a.iushrn(1);for(var p=0,m=1;0==(n.words[0]&m)&&p<26;++p,m<<=1);if(p>0)for(n.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(c),u.isub(h)),s.iushrn(1),u.iushrn(1);e.cmp(n)>=0?(e.isub(n),i.isub(s),a.isub(u)):(n.isub(e),s.isub(i),u.isub(a))}return{a:s,b:u,gcd:n.iushln(l)}},o.prototype._invmp=function(t){r(0===t.negative),r(!t.isZero());var e=this,n=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var i,a=new o(1),s=new o(0),u=n.clone();e.cmpn(1)>0&&n.cmpn(1)>0;){for(var l=0,c=1;0==(e.words[0]&c)&&l<26;++l,c<<=1);if(l>0)for(e.iushrn(l);l-- 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h=1;for(l=u(t,c,t.length,e),c=0;c<a;c++)h*=e;this.imuln(h),this.words[0]+l<67108864?this.words[0]+=l:this._iaddn(l)}},o.prototype.copy=function(t){t.words=new Array(this.length);for(var e=0;e<this.length;e++)t.words[e]=this.words[e];t.length=this.length,t.negative=this.negative,t.red=this.red},o.prototype.clone=function(){var t=new o(null);return this.copy(t),t},o.prototype._expand=function(t){for(;this.length<t;)this.words[this.length++]=0;return this},o.prototype.strip=function(){for(;this.length>1&&0===this.words[this.length-1];)this.length--;return this._normSign()},o.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},o.prototype.inspect=function(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"};var l=["","0","00","000","0000","00000","000000","0000000","00000000","000000000","0000000000","00000000000","000000000000","0000000000000","00000000000000","000000000000000","0000000000000000","00000000000000000","000000000000000000","0000000000000000000","00000000000000000000","000000000000000000000","0000000000000000000000","00000000000000000000000","000000000000000000000000","0000000000000000000000000"],c=[0,0,25,16,12,11,10,9,8,8,7,7,7,7,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5],h=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1e7,19487171,35831808,62748517,7529536,11390625,16777216,24137569,34012224,47045881,64e6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243e5,28629151,33554432,39135393,45435424,52521875,60466176];function f(t,e,n){n.negative=e.negative^t.negative;var r=t.length+e.length|0;n.length=r,r=r-1|0;var i=0|t.words[0],o=0|e.words[0],a=i*o,s=67108863&a,u=a/67108864|0;n.words[0]=s;for(var l=1;l<r;l++){for(var c=u>>>26,h=67108863&u,f=Math.min(l,e.length-1),d=Math.max(0,l-t.length+1);d<=f;d++){var p=l-d|0;c+=(a=(i=0|t.words[p])*(o=0|e.words[d])+h)/67108864|0,h=67108863&a}n.words[l]=0|h,u=0|c}return 0!==u?n.words[l]=0|u:n.length--,n.strip()}o.prototype.toString=function(t,e){var n;if(e=0|e||1,16===(t=t||10)||"hex"===t){n="";for(var i=0,o=0,a=0;a<this.length;a++){var s=this.words[a],u=(16777215&(s<<i|o)).toString(16);n=0!==(o=s>>>24-i&16777215)||a!==this.length-1?l[6-u.length]+u+n:u+n,(i+=2)>=26&&(i-=26,a--)}for(0!==o&&(n=o.toString(16)+n);n.length%e!=0;)n="0"+n;return 0!==this.negative&&(n="-"+n),n}if(t===(0|t)&&t>=2&&t<=36){var f=c[t],d=h[t];n="";var p=this.clone();for(p.negative=0;!p.isZero();){var m=p.modn(d).toString(t);n=(p=p.idivn(d)).isZero()?m+n:l[f-m.length]+m+n}for(this.isZero()&&(n="0"+n);n.length%e!=0;)n="0"+n;return 0!==this.negative&&(n="-"+n),n}r(!1,"Base should be between 2 and 36")},o.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&r(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},o.prototype.toJSON=function(){return this.toString(16)},o.prototype.toBuffer=function(t,e){return r(void 0!==a),this.toArrayLike(a,t,e)},o.prototype.toArray=function(t,e){return this.toArrayLike(Array,t,e)},o.prototype.toArrayLike=function(t,e,n){var i=this.byteLength(),o=n||Math.max(1,i);r(i<=o,"byte array longer than desired length"),r(o>0,"Requested array length <= 0"),this.strip();var a,s,u="le"===e,l=new t(o),c=this.clone();if(u){for(s=0;!c.isZero();s++)a=c.andln(255),c.iushrn(8),l[s]=a;for(;s<o;s++)l[s]=0}else{for(s=0;s<o-i;s++)l[s]=0;for(s=0;!c.isZero();s++)a=c.andln(255),c.iushrn(8),l[o-s-1]=a}return l},Math.clz32?o.prototype._countBits=function(t){return 32-Math.clz32(t)}:o.prototype._countBits=function(t){var e=t,n=0;return e>=4096&&(n+=13,e>>>=13),e>=64&&(n+=7,e>>>=7),e>=8&&(n+=4,e>>>=4),e>=2&&(n+=2,e>>>=2),n+e},o.prototype._zeroBits=function(t){if(0===t)return 26;var e=t,n=0;return 0==(8191&e)&&(n+=13,e>>>=13),0==(127&e)&&(n+=7,e>>>=7),0==(15&e)&&(n+=4,e>>>=4),0==(3&e)&&(n+=2,e>>>=2),0==(1&e)&&n++,n},o.prototype.bitLength=function(){var t=this.words[this.length-1],e=this._countBits(t);return 26*(this.length-1)+e},o.prototype.zeroBits=function(){if(this.isZero())return 0;for(var t=0,e=0;e<this.length;e++){var n=this._zeroBits(this.words[e]);if(t+=n,26!==n)break}return t},o.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},o.prototype.toTwos=function(t){return 0!==this.negative?this.abs().inotn(t).iaddn(1):this.clone()},o.prototype.fromTwos=function(t){return this.testn(t-1)?this.notn(t).iaddn(1).ineg():this.clone()},o.prototype.isNeg=function(){return 0!==this.negative},o.prototype.neg=function(){return this.clone().ineg()},o.prototype.ineg=function(){return 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e,n;this.length>t.length?(e=this,n=t):(e=t,n=this);for(var r=0;r<n.length;r++)this.words[r]=e.words[r]^n.words[r];if(this!==e)for(;r<e.length;r++)this.words[r]=e.words[r];return this.length=e.length,this.strip()},o.prototype.ixor=function(t){return r(0==(this.negative|t.negative)),this.iuxor(t)},o.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},o.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},o.prototype.inotn=function(t){r("number"==typeof t&&t>=0);var e=0|Math.ceil(t/26),n=t%26;this._expand(e),n>0&&e--;for(var i=0;i<e;i++)this.words[i]=67108863&~this.words[i];return n>0&&(this.words[i]=~this.words[i]&67108863>>26-n),this.strip()},o.prototype.notn=function(t){return this.clone().inotn(t)},o.prototype.setn=function(t,e){r("number"==typeof t&&t>=0);var n=t/26|0,i=t%26;return this._expand(n+1),this.words[n]=e?this.words[n]|1<<i:this.words[n]&~(1<<i),this.strip()},o.prototype.iadd=function(t){var e,n,r;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(n=this,r=t):(n=t,r=this);for(var i=0,o=0;o<r.length;o++)e=(0|n.words[o])+(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<n.length;o++)e=(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=n.length,0!==i)this.words[this.length]=i,this.length++;else if(n!==this)for(;o<n.length;o++)this.words[o]=n.words[o];return this},o.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},o.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var n,r,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(n=this,r=t):(n=t,r=this);for(var o=0,a=0;a<r.length;a++)o=(e=(0|n.words[a])-(0|r.words[a])+o)>>26,this.words[a]=67108863&e;for(;0!==o&&a<n.length;a++)o=(e=(0|n.words[a])+o)>>26,this.words[a]=67108863&e;if(0===o&&a<n.length&&n!==this)for(;a<n.length;a++)this.words[a]=n.words[a];return this.length=Math.max(this.length,a),n!==this&&(this.negative=1),this.strip()},o.prototype.sub=function(t){return this.clone().isub(t)};var d=function(t,e,n){var r,i,o,a=t.words,s=e.words,u=n.words,l=0,c=0|a[0],h=8191&c,f=c>>>13,d=0|a[1],p=8191&d,m=d>>>13,v=0|a[2],g=8191&v,y=v>>>13,A=0|a[3],$=8191&A,w=A>>>13,b=0|a[4],E=8191&b,M=b>>>13,T=0|a[5],V=8191&T,x=T>>>13,_=0|a[6],B=8191&_,W=_>>>13,I=0|a[7],S=8191&I,k=I>>>13,O=0|a[8],N=8191&O,C=O>>>13,R=0|a[9],D=8191&R,F=R>>>13,U=0|s[0],P=8191&U,Q=U>>>13,L=0|s[1],j=8191&L,z=L>>>13,K=0|s[2],q=8191&K,G=K>>>13,H=0|s[3],Y=8191&H,X=H>>>13,Z=0|s[4],J=8191&Z,tt=Z>>>13,et=0|s[5],nt=8191&et,rt=et>>>13,it=0|s[6],ot=8191&it,at=it>>>13,st=0|s[7],ut=8191&st,lt=st>>>13,ct=0|s[8],ht=8191&ct,ft=ct>>>13,dt=0|s[9],pt=8191&dt,mt=dt>>>13;n.negative=t.negative^e.negative,n.length=19;var vt=(l+(r=Math.imul(h,P))|0)+((8191&(i=(i=Math.imul(h,Q))+Math.imul(f,P)|0))<<13)|0;l=((o=Math.imul(f,Q))+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,r=Math.imul(p,P),i=(i=Math.imul(p,Q))+Math.imul(m,P)|0,o=Math.imul(m,Q);var gt=(l+(r=r+Math.imul(h,j)|0)|0)+((8191&(i=(i=i+Math.imul(h,z)|0)+Math.imul(f,j)|0))<<13)|0;l=((o=o+Math.imul(f,z)|0)+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,r=Math.imul(g,P),i=(i=Math.imul(g,Q))+Math.imul(y,P)|0,o=Math.imul(y,Q),r=r+Math.imul(p,j)|0,i=(i=i+Math.imul(p,z)|0)+Math.imul(m,j)|0,o=o+Math.imul(m,z)|0;var yt=(l+(r=r+Math.imul(h,q)|0)|0)+((8191&(i=(i=i+Math.imul(h,G)|0)+Math.imul(f,q)|0))<<13)|0;l=((o=o+Math.imul(f,G)|0)+(i>>>13)|0)+(yt>>>26)|0,yt&=67108863,r=Math.imul($,P),i=(i=Math.imul($,Q))+Math.imul(w,P)|0,o=Math.imul(w,Q),r=r+Math.imul(g,j)|0,i=(i=i+Math.imul(g,z)|0)+Math.imul(y,j)|0,o=o+Math.imul(y,z)|0,r=r+Math.imul(p,q)|0,i=(i=i+Math.imul(p,G)|0)+Math.imul(m,q)|0,o=o+Math.imul(m,G)|0;var At=(l+(r=r+Math.imul(h,Y)|0)|0)+((8191&(i=(i=i+Math.imul(h,X)|0)+Math.imul(f,Y)|0))<<13)|0;l=((o=o+Math.imul(f,X)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,r=Math.imul(E,P),i=(i=Math.imul(E,Q))+Math.imul(M,P)|0,o=Math.imul(M,Q),r=r+Math.imul($,j)|0,i=(i=i+Math.imul($,z)|0)+Math.imul(w,j)|0,o=o+Math.imul(w,z)|0,r=r+Math.imul(g,q)|0,i=(i=i+Math.imul(g,G)|0)+Math.imul(y,q)|0,o=o+Math.imul(y,G)|0,r=r+Math.imul(p,Y)|0,i=(i=i+Math.imul(p,X)|0)+Math.imul(m,Y)|0,o=o+Math.imul(m,X)|0;var $t=(l+(r=r+Math.imul(h,J)|0)|0)+((8191&(i=(i=i+Math.imul(h,tt)|0)+Math.imul(f,J)|0))<<13)|0;l=((o=o+Math.imul(f,tt)|0)+(i>>>13)|0)+($t>>>26)|0,$t&=67108863,r=Math.imul(V,P),i=(i=Math.imul(V,Q))+Math.imul(x,P)|0,o=Math.imul(x,Q),r=r+Math.imul(E,j)|0,i=(i=i+Math.imul(E,z)|0)+Math.imul(M,j)|0,o=o+Math.imul(M,z)|0,r=r+Math.imul($,q)|0,i=(i=i+Math.imul($,G)|0)+Math.imul(w,q)|0,o=o+Math.imul(w,G)|0,r=r+Math.imul(g,Y)|0,i=(i=i+Math.imul(g,X)|0)+Math.imul(y,Y)|0,o=o+Math.imul(y,X)|0,r=r+Math.imul(p,J)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(m,J)|0,o=o+Math.imul(m,tt)|0;var wt=(l+(r=r+Math.imul(h,nt)|0)|0)+((8191&(i=(i=i+Math.imul(h,rt)|0)+Math.imul(f,nt)|0))<<13)|0;l=((o=o+Math.imul(f,rt)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,r=Math.imul(B,P),i=(i=Math.imul(B,Q))+Math.imul(W,P)|0,o=Math.imul(W,Q),r=r+Math.imul(V,j)|0,i=(i=i+Math.imul(V,z)|0)+Math.imul(x,j)|0,o=o+Math.imul(x,z)|0,r=r+Math.imul(E,q)|0,i=(i=i+Math.imul(E,G)|0)+Math.imul(M,q)|0,o=o+Math.imul(M,G)|0,r=r+Math.imul($,Y)|0,i=(i=i+Math.imul($,X)|0)+Math.imul(w,Y)|0,o=o+Math.imul(w,X)|0,r=r+Math.imul(g,J)|0,i=(i=i+Math.imul(g,tt)|0)+Math.imul(y,J)|0,o=o+Math.imul(y,tt)|0,r=r+Math.imul(p,nt)|0,i=(i=i+Math.imul(p,rt)|0)+Math.imul(m,nt)|0,o=o+Math.imul(m,rt)|0;var bt=(l+(r=r+Math.imul(h,ot)|0)|0)+((8191&(i=(i=i+Math.imul(h,at)|0)+Math.imul(f,ot)|0))<<13)|0;l=((o=o+Math.imul(f,at)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,r=Math.imul(S,P),i=(i=Math.imul(S,Q))+Math.imul(k,P)|0,o=Math.imul(k,Q),r=r+Math.imul(B,j)|0,i=(i=i+Math.imul(B,z)|0)+Math.imul(W,j)|0,o=o+Math.imul(W,z)|0,r=r+Math.imul(V,q)|0,i=(i=i+Math.imul(V,G)|0)+Math.imul(x,q)|0,o=o+Math.imul(x,G)|0,r=r+Math.imul(E,Y)|0,i=(i=i+Math.imul(E,X)|0)+Math.imul(M,Y)|0,o=o+Math.imul(M,X)|0,r=r+Math.imul($,J)|0,i=(i=i+Math.imul($,tt)|0)+Math.imul(w,J)|0,o=o+Math.imul(w,tt)|0,r=r+Math.imul(g,nt)|0,i=(i=i+Math.imul(g,rt)|0)+Math.imul(y,nt)|0,o=o+Math.imul(y,rt)|0,r=r+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,at)|0)+Math.imul(m,ot)|0,o=o+Math.imul(m,at)|0;var Et=(l+(r=r+Math.imul(h,ut)|0)|0)+((8191&(i=(i=i+Math.imul(h,lt)|0)+Math.imul(f,ut)|0))<<13)|0;l=((o=o+Math.imul(f,lt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,r=Math.imul(N,P),i=(i=Math.imul(N,Q))+Math.imul(C,P)|0,o=Math.imul(C,Q),r=r+Math.imul(S,j)|0,i=(i=i+Math.imul(S,z)|0)+Math.imul(k,j)|0,o=o+Math.imul(k,z)|0,r=r+Math.imul(B,q)|0,i=(i=i+Math.imul(B,G)|0)+Math.imul(W,q)|0,o=o+Math.imul(W,G)|0,r=r+Math.imul(V,Y)|0,i=(i=i+Math.imul(V,X)|0)+Math.imul(x,Y)|0,o=o+Math.imul(x,X)|0,r=r+Math.imul(E,J)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(M,J)|0,o=o+Math.imul(M,tt)|0,r=r+Math.imul($,nt)|0,i=(i=i+Math.imul($,rt)|0)+Math.imul(w,nt)|0,o=o+Math.imul(w,rt)|0,r=r+Math.imul(g,ot)|0,i=(i=i+Math.imul(g,at)|0)+Math.imul(y,ot)|0,o=o+Math.imul(y,at)|0,r=r+Math.imul(p,ut)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(m,ut)|0,o=o+Math.imul(m,lt)|0;var Mt=(l+(r=r+Math.imul(h,ht)|0)|0)+((8191&(i=(i=i+Math.imul(h,ft)|0)+Math.imul(f,ht)|0))<<13)|0;l=((o=o+Math.imul(f,ft)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,r=Math.imul(D,P),i=(i=Math.imul(D,Q))+Math.imul(F,P)|0,o=Math.imul(F,Q),r=r+Math.imul(N,j)|0,i=(i=i+Math.imul(N,z)|0)+Math.imul(C,j)|0,o=o+Math.imul(C,z)|0,r=r+Math.imul(S,q)|0,i=(i=i+Math.imul(S,G)|0)+Math.imul(k,q)|0,o=o+Math.imul(k,G)|0,r=r+Math.imul(B,Y)|0,i=(i=i+Math.imul(B,X)|0)+Math.imul(W,Y)|0,o=o+Math.imul(W,X)|0,r=r+Math.imul(V,J)|0,i=(i=i+Math.imul(V,tt)|0)+Math.imul(x,J)|0,o=o+Math.imul(x,tt)|0,r=r+Math.imul(E,nt)|0,i=(i=i+Math.imul(E,rt)|0)+Math.imul(M,nt)|0,o=o+Math.imul(M,rt)|0,r=r+Math.imul($,ot)|0,i=(i=i+Math.imul($,at)|0)+Math.imul(w,ot)|0,o=o+Math.imul(w,at)|0,r=r+Math.imul(g,ut)|0,i=(i=i+Math.imul(g,lt)|0)+Math.imul(y,ut)|0,o=o+Math.imul(y,lt)|0,r=r+Math.imul(p,ht)|0,i=(i=i+Math.imul(p,ft)|0)+Math.imul(m,ht)|0,o=o+Math.imul(m,ft)|0;var Tt=(l+(r=r+Math.imul(h,pt)|0)|0)+((8191&(i=(i=i+Math.imul(h,mt)|0)+Math.imul(f,pt)|0))<<13)|0;l=((o=o+Math.imul(f,mt)|0)+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,r=Math.imul(D,j),i=(i=Math.imul(D,z))+Math.imul(F,j)|0,o=Math.imul(F,z),r=r+Math.imul(N,q)|0,i=(i=i+Math.imul(N,G)|0)+Math.imul(C,q)|0,o=o+Math.imul(C,G)|0,r=r+Math.imul(S,Y)|0,i=(i=i+Math.imul(S,X)|0)+Math.imul(k,Y)|0,o=o+Math.imul(k,X)|0,r=r+Math.imul(B,J)|0,i=(i=i+Math.imul(B,tt)|0)+Math.imul(W,J)|0,o=o+Math.imul(W,tt)|0,r=r+Math.imul(V,nt)|0,i=(i=i+Math.imul(V,rt)|0)+Math.imul(x,nt)|0,o=o+Math.imul(x,rt)|0,r=r+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,at)|0)+Math.imul(M,ot)|0,o=o+Math.imul(M,at)|0,r=r+Math.imul($,ut)|0,i=(i=i+Math.imul($,lt)|0)+Math.imul(w,ut)|0,o=o+Math.imul(w,lt)|0,r=r+Math.imul(g,ht)|0,i=(i=i+Math.imul(g,ft)|0)+Math.imul(y,ht)|0,o=o+Math.imul(y,ft)|0;var Vt=(l+(r=r+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,mt)|0)+Math.imul(m,pt)|0))<<13)|0;l=((o=o+Math.imul(m,mt)|0)+(i>>>13)|0)+(Vt>>>26)|0,Vt&=67108863,r=Math.imul(D,q),i=(i=Math.imul(D,G))+Math.imul(F,q)|0,o=Math.imul(F,G),r=r+Math.imul(N,Y)|0,i=(i=i+Math.imul(N,X)|0)+Math.imul(C,Y)|0,o=o+Math.imul(C,X)|0,r=r+Math.imul(S,J)|0,i=(i=i+Math.imul(S,tt)|0)+Math.imul(k,J)|0,o=o+Math.imul(k,tt)|0,r=r+Math.imul(B,nt)|0,i=(i=i+Math.imul(B,rt)|0)+Math.imul(W,nt)|0,o=o+Math.imul(W,rt)|0,r=r+Math.imul(V,ot)|0,i=(i=i+Math.imul(V,at)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,at)|0,r=r+Math.imul(E,ut)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(M,ut)|0,o=o+Math.imul(M,lt)|0,r=r+Math.imul($,ht)|0,i=(i=i+Math.imul($,ft)|0)+Math.imul(w,ht)|0,o=o+Math.imul(w,ft)|0;var xt=(l+(r=r+Math.imul(g,pt)|0)|0)+((8191&(i=(i=i+Math.imul(g,mt)|0)+Math.imul(y,pt)|0))<<13)|0;l=((o=o+Math.imul(y,mt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,r=Math.imul(D,Y),i=(i=Math.imul(D,X))+Math.imul(F,Y)|0,o=Math.imul(F,X),r=r+Math.imul(N,J)|0,i=(i=i+Math.imul(N,tt)|0)+Math.imul(C,J)|0,o=o+Math.imul(C,tt)|0,r=r+Math.imul(S,nt)|0,i=(i=i+Math.imul(S,rt)|0)+Math.imul(k,nt)|0,o=o+Math.imul(k,rt)|0,r=r+Math.imul(B,ot)|0,i=(i=i+Math.imul(B,at)|0)+Math.imul(W,ot)|0,o=o+Math.imul(W,at)|0,r=r+Math.imul(V,ut)|0,i=(i=i+Math.imul(V,lt)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,lt)|0,r=r+Math.imul(E,ht)|0,i=(i=i+Math.imul(E,ft)|0)+Math.imul(M,ht)|0,o=o+Math.imul(M,ft)|0;var _t=(l+(r=r+Math.imul($,pt)|0)|0)+((8191&(i=(i=i+Math.imul($,mt)|0)+Math.imul(w,pt)|0))<<13)|0;l=((o=o+Math.imul(w,mt)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,r=Math.imul(D,J),i=(i=Math.imul(D,tt))+Math.imul(F,J)|0,o=Math.imul(F,tt),r=r+Math.imul(N,nt)|0,i=(i=i+Math.imul(N,rt)|0)+Math.imul(C,nt)|0,o=o+Math.imul(C,rt)|0,r=r+Math.imul(S,ot)|0,i=(i=i+Math.imul(S,at)|0)+Math.imul(k,ot)|0,o=o+Math.imul(k,at)|0,r=r+Math.imul(B,ut)|0,i=(i=i+Math.imul(B,lt)|0)+Math.imul(W,ut)|0,o=o+Math.imul(W,lt)|0,r=r+Math.imul(V,ht)|0,i=(i=i+Math.imul(V,ft)|0)+Math.imul(x,ht)|0,o=o+Math.imul(x,ft)|0;var Bt=(l+(r=r+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,mt)|0)+Math.imul(M,pt)|0))<<13)|0;l=((o=o+Math.imul(M,mt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,r=Math.imul(D,nt),i=(i=Math.imul(D,rt))+Math.imul(F,nt)|0,o=Math.imul(F,rt),r=r+Math.imul(N,ot)|0,i=(i=i+Math.imul(N,at)|0)+Math.imul(C,ot)|0,o=o+Math.imul(C,at)|0,r=r+Math.imul(S,ut)|0,i=(i=i+Math.imul(S,lt)|0)+Math.imul(k,ut)|0,o=o+Math.imul(k,lt)|0,r=r+Math.imul(B,ht)|0,i=(i=i+Math.imul(B,ft)|0)+Math.imul(W,ht)|0,o=o+Math.imul(W,ft)|0;var Wt=(l+(r=r+Math.imul(V,pt)|0)|0)+((8191&(i=(i=i+Math.imul(V,mt)|0)+Math.imul(x,pt)|0))<<13)|0;l=((o=o+Math.imul(x,mt)|0)+(i>>>13)|0)+(Wt>>>26)|0,Wt&=67108863,r=Math.imul(D,ot),i=(i=Math.imul(D,at))+Math.imul(F,ot)|0,o=Math.imul(F,at),r=r+Math.imul(N,ut)|0,i=(i=i+Math.imul(N,lt)|0)+Math.imul(C,ut)|0,o=o+Math.imul(C,lt)|0,r=r+Math.imul(S,ht)|0,i=(i=i+Math.imul(S,ft)|0)+Math.imul(k,ht)|0,o=o+Math.imul(k,ft)|0;var It=(l+(r=r+Math.imul(B,pt)|0)|0)+((8191&(i=(i=i+Math.imul(B,mt)|0)+Math.imul(W,pt)|0))<<13)|0;l=((o=o+Math.imul(W,mt)|0)+(i>>>13)|0)+(It>>>26)|0,It&=67108863,r=Math.imul(D,ut),i=(i=Math.imul(D,lt))+Math.imul(F,ut)|0,o=Math.imul(F,lt),r=r+Math.imul(N,ht)|0,i=(i=i+Math.imul(N,ft)|0)+Math.imul(C,ht)|0,o=o+Math.imul(C,ft)|0;var St=(l+(r=r+Math.imul(S,pt)|0)|0)+((8191&(i=(i=i+Math.imul(S,mt)|0)+Math.imul(k,pt)|0))<<13)|0;l=((o=o+Math.imul(k,mt)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,r=Math.imul(D,ht),i=(i=Math.imul(D,ft))+Math.imul(F,ht)|0,o=Math.imul(F,ft);var kt=(l+(r=r+Math.imul(N,pt)|0)|0)+((8191&(i=(i=i+Math.imul(N,mt)|0)+Math.imul(C,pt)|0))<<13)|0;l=((o=o+Math.imul(C,mt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863;var Ot=(l+(r=Math.imul(D,pt))|0)+((8191&(i=(i=Math.imul(D,mt))+Math.imul(F,pt)|0))<<13)|0;return l=((o=Math.imul(F,mt))+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,u[0]=vt,u[1]=gt,u[2]=yt,u[3]=At,u[4]=$t,u[5]=wt,u[6]=bt,u[7]=Et,u[8]=Mt,u[9]=Tt,u[10]=Vt,u[11]=xt,u[12]=_t,u[13]=Bt,u[14]=Wt,u[15]=It,u[16]=St,u[17]=kt,u[18]=Ot,0!==l&&(u[19]=l,n.length++),n};function p(t,e,n){return(new m).mulp(t,e,n)}function m(t,e){this.x=t,this.y=e}Math.imul||(d=f),o.prototype.mulTo=function(t,e){var n=this.length+t.length;return 10===this.length&&10===t.length?d(this,t,e):n<63?f(this,t,e):n<1024?function(t,e,n){n.negative=e.negative^t.negative,n.length=t.length+e.length;for(var r=0,i=0,o=0;o<n.length-1;o++){var a=i;i=0;for(var s=67108863&r,u=Math.min(o,e.length-1),l=Math.max(0,o-t.length+1);l<=u;l++){var c=o-l,h=(0|t.words[c])*(0|e.words[l]),f=67108863&h;s=67108863&(f=f+s|0),i+=(a=(a=a+(h/67108864|0)|0)+(f>>>26)|0)>>>26,a&=67108863}n.words[o]=s,r=a,a=i}return 0!==r?n.words[o]=r:n.length--,n.strip()}(this,t,e):p(this,t,e)},m.prototype.makeRBT=function(t){for(var e=new Array(t),n=o.prototype._countBits(t)-1,r=0;r<t;r++)e[r]=this.revBin(r,n,t);return e},m.prototype.revBin=function(t,e,n){if(0===t||t===n-1)return t;for(var r=0,i=0;i<e;i++)r|=(1&t)<<e-i-1,t>>=1;return r},m.prototype.permute=function(t,e,n,r,i,o){for(var a=0;a<o;a++)r[a]=e[t[a]],i[a]=n[t[a]]},m.prototype.transform=function(t,e,n,r,i,o){this.permute(o,t,e,n,r,i);for(var a=1;a<i;a<<=1)for(var s=a<<1,u=Math.cos(2*Math.PI/s),l=Math.sin(2*Math.PI/s),c=0;c<i;c+=s)for(var h=u,f=l,d=0;d<a;d++){var p=n[c+d],m=r[c+d],v=n[c+d+a],g=r[c+d+a],y=h*v-f*g;g=h*g+f*v,v=y,n[c+d]=p+v,r[c+d]=m+g,n[c+d+a]=p-v,r[c+d+a]=m-g,d!==s&&(y=u*h-l*f,f=u*f+l*h,h=y)}},m.prototype.guessLen13b=function(t,e){var n=1|Math.max(e,t),r=1&n,i=0;for(n=n/2|0;n;n>>>=1)i++;return 1<<i+1+r},m.prototype.conjugate=function(t,e,n){if(!(n<=1))for(var r=0;r<n/2;r++){var i=t[r];t[r]=t[n-r-1],t[n-r-1]=i,i=e[r],e[r]=-e[n-r-1],e[n-r-1]=-i}},m.prototype.normalize13b=function(t,e){for(var n=0,r=0;r<e/2;r++){var i=8192*Math.round(t[2*r+1]/e)+Math.round(t[2*r]/e)+n;t[r]=67108863&i,n=i<67108864?0:i/67108864|0}return t},m.prototype.convert13b=function(t,e,n,i){for(var o=0,a=0;a<e;a++)o+=0|t[a],n[2*a]=8191&o,o>>>=13,n[2*a+1]=8191&o,o>>>=13;for(a=2*e;a<i;++a)n[a]=0;r(0===o),r(0==(-8192&o))},m.prototype.stub=function(t){for(var e=new Array(t),n=0;n<t;n++)e[n]=0;return e},m.prototype.mulp=function(t,e,n){var r=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(r),o=this.stub(r),a=new Array(r),s=new Array(r),u=new Array(r),l=new Array(r),c=new Array(r),h=new Array(r),f=n.words;f.length=r,this.convert13b(t.words,t.length,a,r),this.convert13b(e.words,e.length,l,r),this.transform(a,o,s,u,r,i),this.transform(l,o,c,h,r,i);for(var d=0;d<r;d++){var p=s[d]*c[d]-u[d]*h[d];u[d]=s[d]*h[d]+u[d]*c[d],s[d]=p}return this.conjugate(s,u,r),this.transform(s,u,f,o,r,i),this.conjugate(f,o,r),this.normalize13b(f,r),n.negative=t.negative^e.negative,n.length=t.length+e.length,n.strip()},o.prototype.mul=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},o.prototype.mulf=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),p(this,t,e)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){r("number"==typeof t),r(t<67108864);for(var e=0,n=0;n<this.length;n++){var i=(0|this.words[n])*t,o=(67108863&i)+(67108863&e);e>>=26,e+=i/67108864|0,e+=o>>>26,this.words[n]=67108863&o}return 0!==e&&(this.words[n]=e,this.length++),this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var e=function(t){for(var e=new Array(t.bitLength()),n=0;n<e.length;n++){var r=n/26|0,i=n%26;e[n]=(t.words[r]&1<<i)>>>i}return e}(t);if(0===e.length)return new o(1);for(var n=this,r=0;r<e.length&&0===e[r];r++,n=n.sqr());if(++r<e.length)for(var i=n.sqr();r<e.length;r++,i=i.sqr())0!==e[r]&&(n=n.mul(i));return n},o.prototype.iushln=function(t){r("number"==typeof t&&t>=0);var e,n=t%26,i=(t-n)/26,o=67108863>>>26-n<<26-n;if(0!==n){var a=0;for(e=0;e<this.length;e++){var s=this.words[e]&o,u=(0|this.words[e])-s<<n;this.words[e]=u|a,a=s>>>26-n}a&&(this.words[e]=a,this.length++)}if(0!==i){for(e=this.length-1;e>=0;e--)this.words[e+i]=this.words[e];for(e=0;e<i;e++)this.words[e]=0;this.length+=i}return this.strip()},o.prototype.ishln=function(t){return r(0===this.negative),this.iushln(t)},o.prototype.iushrn=function(t,e,n){var i;r("number"==typeof t&&t>=0),i=e?(e-e%26)/26:0;var o=t%26,a=Math.min((t-o)/26,this.length),s=67108863^67108863>>>o<<o,u=n;if(i-=a,i=Math.max(0,i),u){for(var l=0;l<a;l++)u.words[l]=this.words[l];u.length=a}if(0===a);else if(this.length>a)for(this.length-=a,l=0;l<this.length;l++)this.words[l]=this.words[l+a];else this.words[0]=0,this.length=1;var c=0;for(l=this.length-1;l>=0&&(0!==c||l>=i);l--){var h=0|this.words[l];this.words[l]=c<<26-o|h>>>o,c=h&s}return u&&0!==c&&(u.words[u.length++]=c),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},o.prototype.ishrn=function(t,e,n){return r(0===this.negative),this.iushrn(t,e,n)},o.prototype.shln=function(t){return this.clone().ishln(t)},o.prototype.ushln=function(t){return this.clone().iushln(t)},o.prototype.shrn=function(t){return this.clone().ishrn(t)},o.prototype.ushrn=function(t){return this.clone().iushrn(t)},o.prototype.testn=function(t){r("number"==typeof t&&t>=0);var e=t%26,n=(t-e)/26,i=1<<e;return!(this.length<=n)&&!!(this.words[n]&i)},o.prototype.imaskn=function(t){r("number"==typeof t&&t>=0);var e=t%26,n=(t-e)/26;if(r(0===this.negative,"imaskn works only with positive numbers"),this.length<=n)return this;if(0!==e&&n++,this.length=Math.min(n,this.length),0!==e){var i=67108863^67108863>>>e<<e;this.words[this.length-1]&=i}return this.strip()},o.prototype.maskn=function(t){return this.clone().imaskn(t)},o.prototype.iaddn=function(t){return r("number"==typeof t),r(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},o.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},o.prototype.isubn=function(t){if(r("number"==typeof t),r(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},o.prototype.addn=function(t){return this.clone().iaddn(t)},o.prototype.subn=function(t){return this.clone().isubn(t)},o.prototype.iabs=function(){return this.negative=0,this},o.prototype.abs=function(){return this.clone().iabs()},o.prototype._ishlnsubmul=function(t,e,n){var i,o,a=t.length+n;this._expand(a);var s=0;for(i=0;i<t.length;i++){o=(0|this.words[i+n])+s;var u=(0|t.words[i])*e;s=((o-=67108863&u)>>26)-(u/67108864|0),this.words[i+n]=67108863&o}for(;i<this.length-n;i++)s=(o=(0|this.words[i+n])+s)>>26,this.words[i+n]=67108863&o;if(0===s)return this.strip();for(r(-1===s),s=0,i=0;i<this.length;i++)s=(o=-(0|this.words[i])+s)>>26,this.words[i]=67108863&o;return this.negative=1,this.strip()},o.prototype._wordDiv=function(t,e){var n=(this.length,t.length),r=this.clone(),i=t,a=0|i.words[i.length-1];0!==(n=26-this._countBits(a))&&(i=i.ushln(n),r.iushln(n),a=0|i.words[i.length-1]);var s,u=r.length-i.length;if("mod"!==e){(s=new o(null)).length=u+1,s.words=new Array(s.length);for(var l=0;l<s.length;l++)s.words[l]=0}var c=r.clone()._ishlnsubmul(i,1,u);0===c.negative&&(r=c,s&&(s.words[u]=1));for(var h=u-1;h>=0;h--){var f=67108864*(0|r.words[i.length+h])+(0|r.words[i.length+h-1]);for(f=Math.min(f/a|0,67108863),r._ishlnsubmul(i,f,h);0!==r.negative;)f--,r.negative=0,r._ishlnsubmul(i,1,h),r.isZero()||(r.negative^=1);s&&(s.words[h]=f)}return s&&s.strip(),r.strip(),"div"!==e&&0!==n&&r.iushrn(n),{div:s||null,mod:r}},o.prototype.divmod=function(t,e,n){return r(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,e),"mod"!==e&&(i=s.div.neg()),"div"!==e&&(a=s.mod.neg(),n&&0!==a.negative&&a.iadd(t)),{div:i,mod:a}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),e),"mod"!==e&&(i=s.div.neg()),{div:i,mod:s.mod}):0!=(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),e),"div"!==e&&(a=s.mod.neg(),n&&0!==a.negative&&a.isub(t)),{div:s.div,mod:a}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new o(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modn(t.words[0]))}:this._wordDiv(t,e);var i,a,s},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var n=0!==e.div.negative?e.mod.isub(t):e.mod,r=t.ushrn(1),i=t.andln(1),o=n.cmp(r);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},o.prototype.modn=function(t){r(t<=67108863);for(var e=(1<<26)%t,n=0,i=this.length-1;i>=0;i--)n=(e*n+(0|this.words[i]))%t;return n},o.prototype.idivn=function(t){r(t<=67108863);for(var e=0,n=this.length-1;n>=0;n--){var i=(0|this.words[n])+67108864*e;this.words[n]=i/t|0,e=i%t}return this.strip()},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){r(0===t.negative),r(!t.isZero());var e=this,n=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var i=new o(1),a=new o(0),s=new o(0),u=new o(1),l=0;e.isEven()&&n.isEven();)e.iushrn(1),n.iushrn(1),++l;for(var c=n.clone(),h=e.clone();!e.isZero();){for(var f=0,d=1;0==(e.words[0]&d)&&f<26;++f,d<<=1);if(f>0)for(e.iushrn(f);f-- >0;)(i.isOdd()||a.isOdd())&&(i.iadd(c),a.isub(h)),i.iushrn(1),a.iushrn(1);for(var p=0,m=1;0==(n.words[0]&m)&&p<26;++p,m<<=1);if(p>0)for(n.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(c),u.isub(h)),s.iushrn(1),u.iushrn(1);e.cmp(n)>=0?(e.isub(n),i.isub(s),a.isub(u)):(n.isub(e),s.isub(i),u.isub(a))}return{a:s,b:u,gcd:n.iushln(l)}},o.prototype._invmp=function(t){r(0===t.negative),r(!t.isZero());var e=this,n=t.clone();e=0!==e.negative?e.umod(t):e.clone();for(var i,a=new o(1),s=new o(0),u=n.clone();e.cmpn(1)>0&&n.cmpn(1)>0;){for(var l=0,c=1;0==(e.words[0]&c)&&l<26;++l,c<<=1);if(l>0)for(e.iushrn(l);l-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);for(var h=0,f=1;0==(n.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(n.iushrn(h);h-- >0;)s.isOdd()&&s.iadd(u),s.iushrn(1);e.cmp(n)>=0?(e.isub(n),a.isub(s)):(n.isub(e),s.isub(a))}return(i=0===e.cmpn(1)?a:s).cmpn(0)<0&&i.iadd(t),i},o.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),n=t.clone();e.negative=0,n.negative=0;for(var r=0;e.isEven()&&n.isEven();r++)e.iushrn(1),n.iushrn(1);for(;;){for(;e.isEven();)e.iushrn(1);for(;n.isEven();)n.iushrn(1);var i=e.cmp(n);if(i<0){var o=e;e=n,n=o}else if(0===i||0===n.cmpn(1))break;e.isub(n)}return n.iushln(r)},o.prototype.invm=function(t){return this.egcd(t).a.umod(t)},o.prototype.isEven=function(){return 0==(1&this.words[0])},o.prototype.isOdd=function(){return 1==(1&this.words[0])},o.prototype.andln=function(t){return this.words[0]&t},o.prototype.bincn=function(t){r("number"==typeof t);var e=t%26,n=(t-e)/26,i=1<<e;if(this.length<=n)return this._expand(n+1),this.words[n]|=i,this;for(var o=i,a=n;0!==o&&a<this.length;a++){var s=0|this.words[a];o=(s+=o)>>>26,s&=67108863,this.words[a]=s}return 0!==o&&(this.words[a]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.prototype.cmpn=function(t){var e,n=t<0;if(0!==this.negative&&!n)return-1;if(0===this.negative&&n)return 1;if(this.strip(),this.length>1)e=1;else{n&&(t=-t),r(t<=67108863,"Number is too big");var i=0|this.words[0];e=i===t?0:i<t?-1:1}return 0!==this.negative?0|-e:e},o.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},o.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,n=this.length-1;n>=0;n--){var r=0|this.words[n],i=0|t.words[n];if(r!==i){r<i?e=-1:r>i&&(e=1);break}}return e},o.prototype.gtn=function(t){return 1===this.cmpn(t)},o.prototype.gt=function(t){return 1===this.cmp(t)},o.prototype.gten=function(t){return this.cmpn(t)>=0},o.prototype.gte=function(t){return this.cmp(t)>=0},o.prototype.ltn=function(t){return-1===this.cmpn(t)},o.prototype.lt=function(t){return-1===this.cmp(t)},o.prototype.lten=function(t){return this.cmpn(t)<=0},o.prototype.lte=function(t){return this.cmp(t)<=0},o.prototype.eqn=function(t){return 0===this.cmpn(t)},o.prototype.eq=function(t){return 0===this.cmp(t)},o.red=function(t){return new b(t)},o.prototype.toRed=function(t){return r(!this.red,"Already a number in reduction context"),r(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},o.prototype.fromRed=function(){return r(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},o.prototype._forceRed=function(t){return this.red=t,this},o.prototype.forceRed=function(t){return r(!this.red,"Already a number in reduction context"),this._forceRed(t)},o.prototype.redAdd=function(t){return r(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},o.prototype.redIAdd=function(t){return r(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},o.prototype.redSub=function(t){return r(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},o.prototype.redISub=function(t){return r(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},o.prototype.redShl=function(t){return r(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},o.prototype.redMul=function(t){return r(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},o.prototype.redIMul=function(t){return r(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},o.prototype.redSqr=function(){return r(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},o.prototype.redISqr=function(){return r(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},o.prototype.redSqrt=function(){return r(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},o.prototype.redInvm=function(){return r(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},o.prototype.redNeg=function(){return r(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},o.prototype.redPow=function(t){return r(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var v={k256:null,p224:null,p192:null,p25519:null};function g(t,e){this.name=t,this.p=new o(e,16),this.n=this.p.bitLength(),this.k=new o(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function y(){g.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function A(){g.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function $(){g.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function w(){g.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function b(t){if("string"==typeof t){var e=o._prime(t);this.m=e.p,this.prime=e}else r(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function E(t){b.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new o(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}g.prototype._tmp=function(){var t=new o(null);return t.words=new Array(Math.ceil(this.n/13)),t},g.prototype.ireduce=function(t){var e,n=t;do{this.split(n,this.tmp),e=(n=(n=this.imulK(n)).iadd(this.tmp)).bitLength()}while(e>this.n);var r=e<this.n?-1:n.ucmp(this.p);return 0===r?(n.words[0]=0,n.length=1):r>0?n.isub(this.p):n.strip(),n},g.prototype.split=function(t,e){t.iushrn(this.n,0,e)},g.prototype.imulK=function(t){return t.imul(this.k)},i(y,g),y.prototype.split=function(t,e){for(var n=Math.min(t.length,9),r=0;r<n;r++)e.words[r]=t.words[r];if(e.length=n,t.length<=9)return t.words[0]=0,void(t.length=1);var i=t.words[9];for(e.words[e.length++]=4194303&i,r=10;r<t.length;r++){var o=0|t.words[r];t.words[r-10]=(4194303&o)<<4|i>>>22,i=o}i>>>=22,t.words[r-10]=i,0===i&&t.length>10?t.length-=10:t.length-=9},y.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,n=0;n<t.length;n++){var r=0|t.words[n];e+=977*r,t.words[n]=67108863&e,e=64*r+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},i(A,g),i($,g),i(w,g),w.prototype.imulK=function(t){for(var e=0,n=0;n<t.length;n++){var r=19*(0|t.words[n])+e,i=67108863&r;r>>>=26,t.words[n]=i,e=r}return 0!==e&&(t.words[t.length++]=e),t},o._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new y;else if("p224"===t)e=new A;else if("p192"===t)e=new $;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new w}return v[t]=e,e},b.prototype._verify1=function(t){r(0===t.negative,"red works only with positives"),r(t.red,"red works only with red numbers")},b.prototype._verify2=function(t,e){r(0==(t.negative|e.negative),"red works only with positives"),r(t.red&&t.red===e.red,"red works only with red numbers")},b.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},b.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},b.prototype.add=function(t,e){this._verify2(t,e);var n=t.add(e);return n.cmp(this.m)>=0&&n.isub(this.m),n._forceRed(this)},b.prototype.iadd=function(t,e){this._verify2(t,e);var n=t.iadd(e);return n.cmp(this.m)>=0&&n.isub(this.m),n},b.prototype.sub=function(t,e){this._verify2(t,e);var n=t.sub(e);return n.cmpn(0)<0&&n.iadd(this.m),n._forceRed(this)},b.prototype.isub=function(t,e){this._verify2(t,e);var n=t.isub(e);return n.cmpn(0)<0&&n.iadd(this.m),n},b.prototype.shl=function(t,e){return this._verify1(t),this.imod(t.ushln(e))},b.prototype.imul=function(t,e){return this._verify2(t,e),this.imod(t.imul(e))},b.prototype.mul=function(t,e){return this._verify2(t,e),this.imod(t.mul(e))},b.prototype.isqr=function(t){return this.imul(t,t.clone())},b.prototype.sqr=function(t){return this.mul(t,t)},b.prototype.sqrt=function(t){if(t.isZero())return t.clone();var e=this.m.andln(3);if(r(e%2==1),3===e){var n=this.m.add(new o(1)).iushrn(2);return this.pow(t,n)}for(var i=this.m.subn(1),a=0;!i.isZero()&&0===i.andln(1);)a++,i.iushrn(1);r(!i.isZero());var s=new o(1).toRed(this),u=s.redNeg(),l=this.m.subn(1).iushrn(1),c=this.m.bitLength();for(c=new o(2*c*c).toRed(this);0!==this.pow(c,l).cmp(u);)c.redIAdd(u);for(var h=this.pow(c,i),f=this.pow(t,i.addn(1).iushrn(1)),d=this.pow(t,i),p=a;0!==d.cmp(s);){for(var m=d,v=0;0!==m.cmp(s);v++)m=m.redSqr();r(v<p);var g=this.pow(h,new o(1).iushln(p-v-1));f=f.redMul(g),h=g.redSqr(),d=d.redMul(h),p=v}return f},b.prototype.invm=function(t){var e=t._invmp(this.m);return 0!==e.negative?(e.negative=0,this.imod(e).redNeg()):this.imod(e)},b.prototype.pow=function(t,e){if(e.isZero())return new o(1);if(0===e.cmpn(1))return t.clone();var n=new Array(16);n[0]=new o(1).toRed(this),n[1]=t;for(var r=2;r<n.length;r++)n[r]=this.mul(n[r-1],t);var i=n[0],a=0,s=0,u=e.bitLength()%26;for(0===u&&(u=26),r=e.length-1;r>=0;r--){for(var l=e.words[r],c=u-1;c>=0;c--){var 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