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this._expand(n+1),this.words[n]=r?this.words[n]|1<<i:this.words[n]&~(1<<i),this.strip()},o.prototype.iadd=function(t){var r,n,e;if(0!==this.negative&&0===t.negative)return this.negative=0,r=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,r=this.isub(t),t.negative=1,r._normSign();this.length>t.length?(n=this,e=t):(n=t,e=this);for(var i=0,o=0;o<e.length;o++)r=(0|n.words[o])+(0|e.words[o])+i,this.words[o]=67108863&r,i=r>>>26;for(;0!==i&&o<n.length;o++)r=(0|n.words[o])+i,this.words[o]=67108863&r,i=r>>>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 r;return 0!==t.negative&&0===this.negative?(t.negative=0,r=this.sub(t),t.negative^=1,r):0===t.negative&&0!==this.negative?(this.negative=0,r=t.sub(this),this.negative=1,r):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 r=this.iadd(t);return t.negative=1,r._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var n,e,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(n=this,e=t):(n=t,e=this);for(var o=0,u=0;u<e.length;u++)o=(r=(0|n.words[u])-(0|e.words[u])+o)>>26,this.words[u]=67108863&r;for(;0!==o&&u<n.length;u++)o=(r=(0|n.words[u])+o)>>26,this.words[u]=67108863&r;if(0===o&&u<n.length&&n!==this)for(;u<n.length;u++)this.words[u]=n.words[u];return this.length=Math.max(this.length,u),n!==this&&(this.negative=1),this.strip()},o.prototype.sub=function(t){return this.clone().isub(t)};var d=function(t,r,n){var e,i,o,u=t.words,s=r.words,a=n.words,h=0,f=0|u[0],c=8191&f,l=f>>>13,d=0|u[1],p=8191&d,m=d>>>13,g=0|u[2],y=8191&g,v=g>>>13,w=0|u[3],M=8191&w,b=w>>>13,_=0|u[4],A=8191&_,S=_>>>13,O=0|u[5],E=8191&O,k=O>>>13,x=0|u[6],T=8191&x,R=x>>>13,B=0|u[7],P=8191&B,C=B>>>13,I=0|u[8],j=8191&I,L=I>>>13,N=0|u[9],U=8191&N,W=N>>>13,D=0|s[0],F=8191&D,Y=D>>>13,q=0|s[1],z=8191&q,$=q>>>13,Z=0|s[2],H=8191&Z,J=Z>>>13,V=0|s[3],K=8191&V,Q=V>>>13,X=0|s[4],G=8191&X,tt=X>>>13,rt=0|s[5],nt=8191&rt,et=rt>>>13,it=0|s[6],ot=8191&it,ut=it>>>13,st=0|s[7],at=8191&st,ht=st>>>13,ft=0|s[8],ct=8191&ft,lt=ft>>>13,dt=0|s[9],pt=8191&dt,mt=dt>>>13;n.negative=t.negative^r.negative,n.length=19;var gt=(h+(e=Math.imul(c,F))|0)+((8191&(i=(i=Math.imul(c,Y))+Math.imul(l,F)|0))<<13)|0;h=((o=Math.imul(l,Y))+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,e=Math.imul(p,F),i=(i=Math.imul(p,Y))+Math.imul(m,F)|0,o=Math.imul(m,Y);var yt=(h+(e=e+Math.imul(c,z)|0)|0)+((8191&(i=(i=i+Math.imul(c,$)|0)+Math.imul(l,z)|0))<<13)|0;h=((o=o+Math.imul(l,$)|0)+(i>>>13)|0)+(yt>>>26)|0,yt&=67108863,e=Math.imul(y,F),i=(i=Math.imul(y,Y))+Math.imul(v,F)|0,o=Math.imul(v,Y),e=e+Math.imul(p,z)|0,i=(i=i+Math.imul(p,$)|0)+Math.imul(m,z)|0,o=o+Math.imul(m,$)|0;var vt=(h+(e=e+Math.imul(c,H)|0)|0)+((8191&(i=(i=i+Math.imul(c,J)|0)+Math.imul(l,H)|0))<<13)|0;h=((o=o+Math.imul(l,J)|0)+(i>>>13)|0)+(vt>>>26)|0,vt&=67108863,e=Math.imul(M,F),i=(i=Math.imul(M,Y))+Math.imul(b,F)|0,o=Math.imul(b,Y),e=e+Math.imul(y,z)|0,i=(i=i+Math.imul(y,$)|0)+Math.imul(v,z)|0,o=o+Math.imul(v,$)|0,e=e+Math.imul(p,H)|0,i=(i=i+Math.imul(p,J)|0)+Math.imul(m,H)|0,o=o+Math.imul(m,J)|0;var wt=(h+(e=e+Math.imul(c,K)|0)|0)+((8191&(i=(i=i+Math.imul(c,Q)|0)+Math.imul(l,K)|0))<<13)|0;h=((o=o+Math.imul(l,Q)|0)+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,e=Math.imul(A,F),i=(i=Math.imul(A,Y))+Math.imul(S,F)|0,o=Math.imul(S,Y),e=e+Math.imul(M,z)|0,i=(i=i+Math.imul(M,$)|0)+Math.imul(b,z)|0,o=o+Math.imul(b,$)|0,e=e+Math.imul(y,H)|0,i=(i=i+Math.imul(y,J)|0)+Math.imul(v,H)|0,o=o+Math.imul(v,J)|0,e=e+Math.imul(p,K)|0,i=(i=i+Math.imul(p,Q)|0)+Math.imul(m,K)|0,o=o+Math.imul(m,Q)|0;var Mt=(h+(e=e+Math.imul(c,G)|0)|0)+((8191&(i=(i=i+Math.imul(c,tt)|0)+Math.imul(l,G)|0))<<13)|0;h=((o=o+Math.imul(l,tt)|0)+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,e=Math.imul(E,F),i=(i=Math.imul(E,Y))+Math.imul(k,F)|0,o=Math.imul(k,Y),e=e+Math.imul(A,z)|0,i=(i=i+Math.imul(A,$)|0)+Math.imul(S,z)|0,o=o+Math.imul(S,$)|0,e=e+Math.imul(M,H)|0,i=(i=i+Math.imul(M,J)|0)+Math.imul(b,H)|0,o=o+Math.imul(b,J)|0,e=e+Math.imul(y,K)|0,i=(i=i+Math.imul(y,Q)|0)+Math.imul(v,K)|0,o=o+Math.imul(v,Q)|0,e=e+Math.imul(p,G)|0,i=(i=i+Math.imul(p,tt)|0)+Math.imul(m,G)|0,o=o+Math.imul(m,tt)|0;var bt=(h+(e=e+Math.imul(c,nt)|0)|0)+((8191&(i=(i=i+Math.imul(c,et)|0)+Math.imul(l,nt)|0))<<13)|0;h=((o=o+Math.imul(l,et)|0)+(i>>>13)|0)+(bt>>>26)|0,bt&=67108863,e=Math.imul(T,F),i=(i=Math.imul(T,Y))+Math.imul(R,F)|0,o=Math.imul(R,Y),e=e+Math.imul(E,z)|0,i=(i=i+Math.imul(E,$)|0)+Math.imul(k,z)|0,o=o+Math.imul(k,$)|0,e=e+Math.imul(A,H)|0,i=(i=i+Math.imul(A,J)|0)+Math.imul(S,H)|0,o=o+Math.imul(S,J)|0,e=e+Math.imul(M,K)|0,i=(i=i+Math.imul(M,Q)|0)+Math.imul(b,K)|0,o=o+Math.imul(b,Q)|0,e=e+Math.imul(y,G)|0,i=(i=i+Math.imul(y,tt)|0)+Math.imul(v,G)|0,o=o+Math.imul(v,tt)|0,e=e+Math.imul(p,nt)|0,i=(i=i+Math.imul(p,et)|0)+Math.imul(m,nt)|0,o=o+Math.imul(m,et)|0;var _t=(h+(e=e+Math.imul(c,ot)|0)|0)+((8191&(i=(i=i+Math.imul(c,ut)|0)+Math.imul(l,ot)|0))<<13)|0;h=((o=o+Math.imul(l,ut)|0)+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,e=Math.imul(P,F),i=(i=Math.imul(P,Y))+Math.imul(C,F)|0,o=Math.imul(C,Y),e=e+Math.imul(T,z)|0,i=(i=i+Math.imul(T,$)|0)+Math.imul(R,z)|0,o=o+Math.imul(R,$)|0,e=e+Math.imul(E,H)|0,i=(i=i+Math.imul(E,J)|0)+Math.imul(k,H)|0,o=o+Math.imul(k,J)|0,e=e+Math.imul(A,K)|0,i=(i=i+Math.imul(A,Q)|0)+Math.imul(S,K)|0,o=o+Math.imul(S,Q)|0,e=e+Math.imul(M,G)|0,i=(i=i+Math.imul(M,tt)|0)+Math.imul(b,G)|0,o=o+Math.imul(b,tt)|0,e=e+Math.imul(y,nt)|0,i=(i=i+Math.imul(y,et)|0)+Math.imul(v,nt)|0,o=o+Math.imul(v,et)|0,e=e+Math.imul(p,ot)|0,i=(i=i+Math.imul(p,ut)|0)+Math.imul(m,ot)|0,o=o+Math.imul(m,ut)|0;var At=(h+(e=e+Math.imul(c,at)|0)|0)+((8191&(i=(i=i+Math.imul(c,ht)|0)+Math.imul(l,at)|0))<<13)|0;h=((o=o+Math.imul(l,ht)|0)+(i>>>13)|0)+(At>>>26)|0,At&=67108863,e=Math.imul(j,F),i=(i=Math.imul(j,Y))+Math.imul(L,F)|0,o=Math.imul(L,Y),e=e+Math.imul(P,z)|0,i=(i=i+Math.imul(P,$)|0)+Math.imul(C,z)|0,o=o+Math.imul(C,$)|0,e=e+Math.imul(T,H)|0,i=(i=i+Math.imul(T,J)|0)+Math.imul(R,H)|0,o=o+Math.imul(R,J)|0,e=e+Math.imul(E,K)|0,i=(i=i+Math.imul(E,Q)|0)+Math.imul(k,K)|0,o=o+Math.imul(k,Q)|0,e=e+Math.imul(A,G)|0,i=(i=i+Math.imul(A,tt)|0)+Math.imul(S,G)|0,o=o+Math.imul(S,tt)|0,e=e+Math.imul(M,nt)|0,i=(i=i+Math.imul(M,et)|0)+Math.imul(b,nt)|0,o=o+Math.imul(b,et)|0,e=e+Math.imul(y,ot)|0,i=(i=i+Math.imul(y,ut)|0)+Math.imul(v,ot)|0,o=o+Math.imul(v,ut)|0,e=e+Math.imul(p,at)|0,i=(i=i+Math.imul(p,ht)|0)+Math.imul(m,at)|0,o=o+Math.imul(m,ht)|0;var St=(h+(e=e+Math.imul(c,ct)|0)|0)+((8191&(i=(i=i+Math.imul(c,lt)|0)+Math.imul(l,ct)|0))<<13)|0;h=((o=o+Math.imul(l,lt)|0)+(i>>>13)|0)+(St>>>26)|0,St&=67108863,e=Math.imul(U,F),i=(i=Math.imul(U,Y))+Math.imul(W,F)|0,o=Math.imul(W,Y),e=e+Math.imul(j,z)|0,i=(i=i+Math.imul(j,$)|0)+Math.imul(L,z)|0,o=o+Math.imul(L,$)|0,e=e+Math.imul(P,H)|0,i=(i=i+Math.imul(P,J)|0)+Math.imul(C,H)|0,o=o+Math.imul(C,J)|0,e=e+Math.imul(T,K)|0,i=(i=i+Math.imul(T,Q)|0)+Math.imul(R,K)|0,o=o+Math.imul(R,Q)|0,e=e+Math.imul(E,G)|0,i=(i=i+Math.imul(E,tt)|0)+Math.imul(k,G)|0,o=o+Math.imul(k,tt)|0,e=e+Math.imul(A,nt)|0,i=(i=i+Math.imul(A,et)|0)+Math.imul(S,nt)|0,o=o+Math.imul(S,et)|0,e=e+Math.imul(M,ot)|0,i=(i=i+Math.imul(M,ut)|0)+Math.imul(b,ot)|0,o=o+Math.imul(b,ut)|0,e=e+Math.imul(y,at)|0,i=(i=i+Math.imul(y,ht)|0)+Math.imul(v,at)|0,o=o+Math.imul(v,ht)|0,e=e+Math.imul(p,ct)|0,i=(i=i+Math.imul(p,lt)|0)+Math.imul(m,ct)|0,o=o+Math.imul(m,lt)|0;var Ot=(h+(e=e+Math.imul(c,pt)|0)|0)+((8191&(i=(i=i+Math.imul(c,mt)|0)+Math.imul(l,pt)|0))<<13)|0;h=((o=o+Math.imul(l,mt)|0)+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,e=Math.imul(U,z),i=(i=Math.imul(U,$))+Math.imul(W,z)|0,o=Math.imul(W,$),e=e+Math.imul(j,H)|0,i=(i=i+Math.imul(j,J)|0)+Math.imul(L,H)|0,o=o+Math.imul(L,J)|0,e=e+Math.imul(P,K)|0,i=(i=i+Math.imul(P,Q)|0)+Math.imul(C,K)|0,o=o+Math.imul(C,Q)|0,e=e+Math.imul(T,G)|0,i=(i=i+Math.imul(T,tt)|0)+Math.imul(R,G)|0,o=o+Math.imul(R,tt)|0,e=e+Math.imul(E,nt)|0,i=(i=i+Math.imul(E,et)|0)+Math.imul(k,nt)|0,o=o+Math.imul(k,et)|0,e=e+Math.imul(A,ot)|0,i=(i=i+Math.imul(A,ut)|0)+Math.imul(S,ot)|0,o=o+Math.imul(S,ut)|0,e=e+Math.imul(M,at)|0,i=(i=i+Math.imul(M,ht)|0)+Math.imul(b,at)|0,o=o+Math.imul(b,ht)|0,e=e+Math.imul(y,ct)|0,i=(i=i+Math.imul(y,lt)|0)+Math.imul(v,ct)|0,o=o+Math.imul(v,lt)|0;var Et=(h+(e=e+Math.imul(p,pt)|0)|0)+((8191&(i=(i=i+Math.imul(p,mt)|0)+Math.imul(m,pt)|0))<<13)|0;h=((o=o+Math.imul(m,mt)|0)+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,e=Math.imul(U,H),i=(i=Math.imul(U,J))+Math.imul(W,H)|0,o=Math.imul(W,J),e=e+Math.imul(j,K)|0,i=(i=i+Math.imul(j,Q)|0)+Math.imul(L,K)|0,o=o+Math.imul(L,Q)|0,e=e+Math.imul(P,G)|0,i=(i=i+Math.imul(P,tt)|0)+Math.imul(C,G)|0,o=o+Math.imul(C,tt)|0,e=e+Math.imul(T,nt)|0,i=(i=i+Math.imul(T,et)|0)+Math.imul(R,nt)|0,o=o+Math.imul(R,et)|0,e=e+Math.imul(E,ot)|0,i=(i=i+Math.imul(E,ut)|0)+Math.imul(k,ot)|0,o=o+Math.imul(k,ut)|0,e=e+Math.imul(A,at)|0,i=(i=i+Math.imul(A,ht)|0)+Math.imul(S,at)|0,o=o+Math.imul(S,ht)|0,e=e+Math.imul(M,ct)|0,i=(i=i+Math.imul(M,lt)|0)+Math.imul(b,ct)|0,o=o+Math.imul(b,lt)|0;var kt=(h+(e=e+Math.imul(y,pt)|0)|0)+((8191&(i=(i=i+Math.imul(y,mt)|0)+Math.imul(v,pt)|0))<<13)|0;h=((o=o+Math.imul(v,mt)|0)+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,e=Math.imul(U,K),i=(i=Math.imul(U,Q))+Math.imul(W,K)|0,o=Math.imul(W,Q),e=e+Math.imul(j,G)|0,i=(i=i+Math.imul(j,tt)|0)+Math.imul(L,G)|0,o=o+Math.imul(L,tt)|0,e=e+Math.imul(P,nt)|0,i=(i=i+Math.imul(P,et)|0)+Math.imul(C,nt)|0,o=o+Math.imul(C,et)|0,e=e+Math.imul(T,ot)|0,i=(i=i+Math.imul(T,ut)|0)+Math.imul(R,ot)|0,o=o+Math.imul(R,ut)|0,e=e+Math.imul(E,at)|0,i=(i=i+Math.imul(E,ht)|0)+Math.imul(k,at)|0,o=o+Math.imul(k,ht)|0,e=e+Math.imul(A,ct)|0,i=(i=i+Math.imul(A,lt)|0)+Math.imul(S,ct)|0,o=o+Math.imul(S,lt)|0;var xt=(h+(e=e+Math.imul(M,pt)|0)|0)+((8191&(i=(i=i+Math.imul(M,mt)|0)+Math.imul(b,pt)|0))<<13)|0;h=((o=o+Math.imul(b,mt)|0)+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,e=Math.imul(U,G),i=(i=Math.imul(U,tt))+Math.imul(W,G)|0,o=Math.imul(W,tt),e=e+Math.imul(j,nt)|0,i=(i=i+Math.imul(j,et)|0)+Math.imul(L,nt)|0,o=o+Math.imul(L,et)|0,e=e+Math.imul(P,ot)|0,i=(i=i+Math.imul(P,ut)|0)+Math.imul(C,ot)|0,o=o+Math.imul(C,ut)|0,e=e+Math.imul(T,at)|0,i=(i=i+Math.imul(T,ht)|0)+Math.imul(R,at)|0,o=o+Math.imul(R,ht)|0,e=e+Math.imul(E,ct)|0,i=(i=i+Math.imul(E,lt)|0)+Math.imul(k,ct)|0,o=o+Math.imul(k,lt)|0;var Tt=(h+(e=e+Math.imul(A,pt)|0)|0)+((8191&(i=(i=i+Math.imul(A,mt)|0)+Math.imul(S,pt)|0))<<13)|0;h=((o=o+Math.imul(S,mt)|0)+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,e=Math.imul(U,nt),i=(i=Math.imul(U,et))+Math.imul(W,nt)|0,o=Math.imul(W,et),e=e+Math.imul(j,ot)|0,i=(i=i+Math.imul(j,ut)|0)+Math.imul(L,ot)|0,o=o+Math.imul(L,ut)|0,e=e+Math.imul(P,at)|0,i=(i=i+Math.imul(P,ht)|0)+Math.imul(C,at)|0,o=o+Math.imul(C,ht)|0,e=e+Math.imul(T,ct)|0,i=(i=i+Math.imul(T,lt)|0)+Math.imul(R,ct)|0,o=o+Math.imul(R,lt)|0;var Rt=(h+(e=e+Math.imul(E,pt)|0)|0)+((8191&(i=(i=i+Math.imul(E,mt)|0)+Math.imul(k,pt)|0))<<13)|0;h=((o=o+Math.imul(k,mt)|0)+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,e=Math.imul(U,ot),i=(i=Math.imul(U,ut))+Math.imul(W,ot)|0,o=Math.imul(W,ut),e=e+Math.imul(j,at)|0,i=(i=i+Math.imul(j,ht)|0)+Math.imul(L,at)|0,o=o+Math.imul(L,ht)|0,e=e+Math.imul(P,ct)|0,i=(i=i+Math.imul(P,lt)|0)+Math.imul(C,ct)|0,o=o+Math.imul(C,lt)|0;var Bt=(h+(e=e+Math.imul(T,pt)|0)|0)+((8191&(i=(i=i+Math.imul(T,mt)|0)+Math.imul(R,pt)|0))<<13)|0;h=((o=o+Math.imul(R,mt)|0)+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,e=Math.imul(U,at),i=(i=Math.imul(U,ht))+Math.imul(W,at)|0,o=Math.imul(W,ht),e=e+Math.imul(j,ct)|0,i=(i=i+Math.imul(j,lt)|0)+Math.imul(L,ct)|0,o=o+Math.imul(L,lt)|0;var Pt=(h+(e=e+Math.imul(P,pt)|0)|0)+((8191&(i=(i=i+Math.imul(P,mt)|0)+Math.imul(C,pt)|0))<<13)|0;h=((o=o+Math.imul(C,mt)|0)+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,e=Math.imul(U,ct),i=(i=Math.imul(U,lt))+Math.imul(W,ct)|0,o=Math.imul(W,lt);var Ct=(h+(e=e+Math.imul(j,pt)|0)|0)+((8191&(i=(i=i+Math.imul(j,mt)|0)+Math.imul(L,pt)|0))<<13)|0;h=((o=o+Math.imul(L,mt)|0)+(i>>>13)|0)+(Ct>>>26)|0,Ct&=67108863;var It=(h+(e=Math.imul(U,pt))|0)+((8191&(i=(i=Math.imul(U,mt))+Math.imul(W,pt)|0))<<13)|0;return h=((o=Math.imul(W,mt))+(i>>>13)|0)+(It>>>26)|0,It&=67108863,a[0]=gt,a[1]=yt,a[2]=vt,a[3]=wt,a[4]=Mt,a[5]=bt,a[6]=_t,a[7]=At,a[8]=St,a[9]=Ot,a[10]=Et,a[11]=kt,a[12]=xt,a[13]=Tt,a[14]=Rt,a[15]=Bt,a[16]=Pt,a[17]=Ct,a[18]=It,0!==h&&(a[19]=h,n.length++),n};function p(t,r,n){return(new m).mulp(t,r,n)}function m(t,r){this.x=t,this.y=r}Math.imul||(d=l),o.prototype.mulTo=function(t,r){var n=this.length+t.length;return 10===this.length&&10===t.length?d(this,t,r):n<63?l(this,t,r):n<1024?function(t,r,n){n.negative=r.negative^t.negative,n.length=t.length+r.length;for(var e=0,i=0,o=0;o<n.length-1;o++){var u=i;i=0;for(var s=67108863&e,a=Math.min(o,r.length-1),h=Math.max(0,o-t.length+1);h<=a;h++){var f=o-h,c=(0|t.words[f])*(0|r.words[h]),l=67108863&c;s=67108863&(l=l+s|0),i+=(u=(u=u+(c/67108864|0)|0)+(l>>>26)|0)>>>26,u&=67108863}n.words[o]=s,e=u,u=i}return 0!==e?n.words[o]=e:n.length--,n.strip()}(this,t,r):p(this,t,r)},m.prototype.makeRBT=function(t){for(var r=new Array(t),n=o.prototype._countBits(t)-1,e=0;e<t;e++)r[e]=this.revBin(e,n,t);return r},m.prototype.revBin=function(t,r,n){if(0===t||t===n-1)return t;for(var e=0,i=0;i<r;i++)e|=(1&t)<<r-i-1,t>>=1;return e},m.prototype.permute=function(t,r,n,e,i,o){for(var u=0;u<o;u++)e[u]=r[t[u]],i[u]=n[t[u]]},m.prototype.transform=function(t,r,n,e,i,o){this.permute(o,t,r,n,e,i);for(var u=1;u<i;u<<=1)for(var s=u<<1,a=Math.cos(2*Math.PI/s),h=Math.sin(2*Math.PI/s),f=0;f<i;f+=s)for(var c=a,l=h,d=0;d<u;d++){var p=n[f+d],m=e[f+d],g=n[f+d+u],y=e[f+d+u],v=c*g-l*y;y=c*y+l*g,g=v,n[f+d]=p+g,e[f+d]=m+y,n[f+d+u]=p-g,e[f+d+u]=m-y,d!==s&&(v=a*c-h*l,l=a*l+h*c,c=v)}},m.prototype.guessLen13b=function(t,r){var n=1|Math.max(r,t),e=1&n,i=0;for(n=n/2|0;n;n>>>=1)i++;return 1<<i+1+e},m.prototype.conjugate=function(t,r,n){if(!(n<=1))for(var e=0;e<n/2;e++){var i=t[e];t[e]=t[n-e-1],t[n-e-1]=i,i=r[e],r[e]=-r[n-e-1],r[n-e-1]=-i}},m.prototype.normalize13b=function(t,r){for(var n=0,e=0;e<r/2;e++){var i=8192*Math.round(t[2*e+1]/r)+Math.round(t[2*e]/r)+n;t[e]=67108863&i,n=i<67108864?0:i/67108864|0}return t},m.prototype.convert13b=function(t,r,n,i){for(var o=0,u=0;u<r;u++)o+=0|t[u],n[2*u]=8191&o,o>>>=13,n[2*u+1]=8191&o,o>>>=13;for(u=2*r;u<i;++u)n[u]=0;e(0===o),e(0==(-8192&o))},m.prototype.stub=function(t){for(var r=new Array(t),n=0;n<t;n++)r[n]=0;return r},m.prototype.mulp=function(t,r,n){var e=2*this.guessLen13b(t.length,r.length),i=this.makeRBT(e),o=this.stub(e),u=new Array(e),s=new Array(e),a=new Array(e),h=new Array(e),f=new Array(e),c=new Array(e),l=n.words;l.length=e,this.convert13b(t.words,t.length,u,e),this.convert13b(r.words,r.length,h,e),this.transform(u,o,s,a,e,i),this.transform(h,o,f,c,e,i);for(var d=0;d<e;d++){var p=s[d]*f[d]-a[d]*c[d];a[d]=s[d]*c[d]+a[d]*f[d],s[d]=p}return this.conjugate(s,a,e),this.transform(s,a,l,o,e,i),this.conjugate(l,o,e),this.normalize13b(l,e),n.negative=t.negative^r.negative,n.length=t.length+r.length,n.strip()},o.prototype.mul=function(t){var r=new o(null);return r.words=new Array(this.length+t.length),this.mulTo(t,r)},o.prototype.mulf=function(t){var r=new o(null);return r.words=new Array(this.length+t.length),p(this,t,r)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){e("number"==typeof t),e(t<67108864);for(var r=0,n=0;n<this.length;n++){var i=(0|this.words[n])*t,o=(67108863&i)+(67108863&r);r>>=26,r+=i/67108864|0,r+=o>>>26,this.words[n]=67108863&o}return 0!==r&&(this.words[n]=r,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 r=function(t){for(var r=new Array(t.bitLength()),n=0;n<r.length;n++){var e=n/26|0,i=n%26;r[n]=(t.words[e]&1<<i)>>>i}return r}(t);if(0===r.length)return new o(1);for(var n=this,e=0;e<r.length&&0===r[e];e++,n=n.sqr());if(++e<r.length)for(var i=n.sqr();e<r.length;e++,i=i.sqr())0!==r[e]&&(n=n.mul(i));return n},o.prototype.iushln=function(t){e("number"==typeof t&&t>=0);var r,n=t%26,i=(t-n)/26,o=67108863>>>26-n<<26-n;if(0!==n){var u=0;for(r=0;r<this.length;r++){var s=this.words[r]&o,a=(0|this.words[r])-s<<n;this.words[r]=a|u,u=s>>>26-n}u&&(this.words[r]=u,this.length++)}if(0!==i){for(r=this.length-1;r>=0;r--)this.words[r+i]=this.words[r];for(r=0;r<i;r++)this.words[r]=0;this.length+=i}return this.strip()},o.prototype.ishln=function(t){return e(0===this.negative),this.iushln(t)},o.prototype.iushrn=function(t,r,n){var i;e("number"==typeof t&&t>=0),i=r?(r-r%26)/26:0;var o=t%26,u=Math.min((t-o)/26,this.length),s=67108863^67108863>>>o<<o,a=n;if(i-=u,i=Math.max(0,i),a){for(var h=0;h<u;h++)a.words[h]=this.words[h];a.length=u}if(0===u);else if(this.length>u)for(this.length-=u,h=0;h<this.length;h++)this.words[h]=this.words[h+u];else this.words[0]=0,this.length=1;var f=0;for(h=this.length-1;h>=0&&(0!==f||h>=i);h--){var c=0|this.words[h];this.words[h]=f<<26-o|c>>>o,f=c&s}return a&&0!==f&&(a.words[a.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},o.prototype.ishrn=function(t,r,n){return e(0===this.negative),this.iushrn(t,r,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){e("number"==typeof t&&t>=0);var r=t%26,n=(t-r)/26,i=1<<r;return!(this.length<=n)&&!!(this.words[n]&i)},o.prototype.imaskn=function(t){e("number"==typeof t&&t>=0);var r=t%26,n=(t-r)/26;if(e(0===this.negative,"imaskn works only with positive numbers"),this.length<=n)return this;if(0!==r&&n++,this.length=Math.min(n,this.length),0!==r){var i=67108863^67108863>>>r<<r;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 e("number"==typeof t),e(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 r=0;r<this.length&&this.words[r]>=67108864;r++)this.words[r]-=67108864,r===this.length-1?this.words[r+1]=1:this.words[r+1]++;return this.length=Math.max(this.length,r+1),this},o.prototype.isubn=function(t){if(e("number"==typeof t),e(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 r=0;r<this.length&&this.words[r]<0;r++)this.words[r]+=67108864,this.words[r+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,r,n){var i,o,u=t.length+n;this._expand(u);var s=0;for(i=0;i<t.length;i++){o=(0|this.words[i+n])+s;var a=(0|t.words[i])*r;s=((o-=67108863&a)>>26)-(a/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(e(-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,r){var n=(this.length,t.length),e=this.clone(),i=t,u=0|i.words[i.length-1];0!==(n=26-this._countBits(u))&&(i=i.ushln(n),e.iushln(n),u=0|i.words[i.length-1]);var s,a=e.length-i.length;if("mod"!==r){(s=new o(null)).length=a+1,s.words=new Array(s.length);for(var h=0;h<s.length;h++)s.words[h]=0}var f=e.clone()._ishlnsubmul(i,1,a);0===f.negative&&(e=f,s&&(s.words[a]=1));for(var c=a-1;c>=0;c--){var l=67108864*(0|e.words[i.length+c])+(0|e.words[i.length+c-1]);for(l=Math.min(l/u|0,67108863),e._ishlnsubmul(i,l,c);0!==e.negative;)l--,e.negative=0,e._ishlnsubmul(i,1,c),e.isZero()||(e.negative^=1);s&&(s.words[c]=l)}return s&&s.strip(),e.strip(),"div"!==r&&0!==n&&e.iushrn(n),{div:s||null,mod:e}},o.prototype.divmod=function(t,r,n){return e(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,r),"mod"!==r&&(i=s.div.neg()),"div"!==r&&(u=s.mod.neg(),n&&0!==u.negative&&u.iadd(t)),{div:i,mod:u}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),r),"mod"!==r&&(i=s.div.neg()),{div:i,mod:s.mod}):0!=(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),r),"div"!==r&&(u=s.mod.neg(),n&&0!==u.negative&&u.isub(t)),{div:s.div,mod:u}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===r?{div:this.divn(t.words[0]),mod:null}:"mod"===r?{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,r);var i,u,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 r=this.divmod(t);if(r.mod.isZero())return r.div;var n=0!==r.div.negative?r.mod.isub(t):r.mod,e=t.ushrn(1),i=t.andln(1),o=n.cmp(e);return o<0||1===i&&0===o?r.div:0!==r.div.negative?r.div.isubn(1):r.div.iaddn(1)},o.prototype.modn=function(t){e(t<=67108863);for(var r=(1<<26)%t,n=0,i=this.length-1;i>=0;i--)n=(r*n+(0|this.words[i]))%t;return n},o.prototype.idivn=function(t){e(t<=67108863);for(var r=0,n=this.length-1;n>=0;n--){var i=(0|this.words[n])+67108864*r;this.words[n]=i/t|0,r=i%t}return this.strip()},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){e(0===t.negative),e(!t.isZero());var r=this,n=t.clone();r=0!==r.negative?r.umod(t):r.clone();for(var i=new o(1),u=new o(0),s=new o(0),a=new o(1),h=0;r.isEven()&&n.isEven();)r.iushrn(1),n.iushrn(1),++h;for(var f=n.clone(),c=r.clone();!r.isZero();){for(var l=0,d=1;0==(r.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(r.iushrn(l);l-- >0;)(i.isOdd()||u.isOdd())&&(i.iadd(f),u.isub(c)),i.iushrn(1),u.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()||a.isOdd())&&(s.iadd(f),a.isub(c)),s.iushrn(1),a.iushrn(1);r.cmp(n)>=0?(r.isub(n),i.isub(s),u.isub(a)):(n.isub(r),s.isub(i),a.isub(u))}return{a:s,b:a,gcd:n.iushln(h)}},o.prototype._invmp=function(t){e(0===t.negative),e(!t.isZero());var r=this,n=t.clone();r=0!==r.negative?r.umod(t):r.clone();for(var i,u=new o(1),s=new o(0),a=n.clone();r.cmpn(1)>0&&n.cmpn(1)>0;){for(var h=0,f=1;0==(r.words[0]&f)&&h<26;++h,f<<=1);if(h>0)for(r.iushrn(h);h-- 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this._expand(n+1),this.words[n]|=i,this;for(var o=i,u=n;0!==o&&u<this.length;u++){var s=0|this.words[u];o=(s+=o)>>>26,s&=67108863,this.words[u]=s}return 0!==o&&(this.words[u]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.prototype.cmpn=function(t){var r,n=t<0;if(0!==this.negative&&!n)return-1;if(0===this.negative&&n)return 1;if(this.strip(),this.length>1)r=1;else{n&&(t=-t),e(t<=67108863,"Number is too big");var i=0|this.words[0];r=i===t?0:i<t?-1:1}return 0!==this.negative?0|-r:r},o.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var r=this.ucmp(t);return 0!==this.negative?0|-r:r},o.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var r=0,n=this.length-1;n>=0;n--){var e=0|this.words[n],i=0|t.words[n];if(e!==i){e<i?r=-1:e>i&&(r=1);break}}return r},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 _(t)},o.prototype.toRed=function(t){return e(!this.red,"Already a number in reduction context"),e(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},o.prototype.fromRed=function(){return e(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 e(!this.red,"Already a number in reduction 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 * @copyright Chen, Yi-Cyuan 2015-2018
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Copyright (c) Microsoft Corporation. All rights reserved.
Licensed under the Apache License, Version 2.0 (the "License"); you may not use
this file except in compliance with the License. You may obtain a copy of the
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THIS CODE IS PROVIDED ON AN *AS IS* BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
KIND, EITHER EXPRESS OR IMPLIED, INCLUDING WITHOUT LIMITATION ANY IMPLIED
WARRANTIES OR CONDITIONS OF TITLE, FITNESS FOR A PARTICULAR PURPOSE,
MERCHANTABLITY OR NON-INFRINGEMENT.

See the Apache Version 2.0 License for specific language governing permissions
and limitations under the License.
***************************************************************************** */
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