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this.isZero()||(this.negative^=1),this},a.prototype.iuor=function(e){for(;this.length<e.length;)this.words[this.length++]=0;for(var t=0;t<e.length;t++)this.words[t]=this.words[t]|e.words[t];return this.strip()},a.prototype.ior=function(e){return i(0==(this.negative|e.negative)),this.iuor(e)},a.prototype.or=function(e){return this.length>e.length?this.clone().ior(e):e.clone().ior(this)},a.prototype.uor=function(e){return this.length>e.length?this.clone().iuor(e):e.clone().iuor(this)},a.prototype.iuand=function(e){var t;t=this.length>e.length?e:this;for(var r=0;r<t.length;r++)this.words[r]=this.words[r]&e.words[r];return this.length=t.length,this.strip()},a.prototype.iand=function(e){return i(0==(this.negative|e.negative)),this.iuand(e)},a.prototype.and=function(e){return this.length>e.length?this.clone().iand(e):e.clone().iand(this)},a.prototype.uand=function(e){return this.length>e.length?this.clone().iuand(e):e.clone().iuand(this)},a.prototype.iuxor=function(e){var t,r;this.length>e.length?(t=this,r=e):(t=e,r=this);for(var i=0;i<r.length;i++)this.words[i]=t.words[i]^r.words[i];if(this!==t)for(;i<t.length;i++)this.words[i]=t.words[i];return this.length=t.length,this.strip()},a.prototype.ixor=function(e){return i(0==(this.negative|e.negative)),this.iuxor(e)},a.prototype.xor=function(e){return this.length>e.length?this.clone().ixor(e):e.clone().ixor(this)},a.prototype.uxor=function(e){return this.length>e.length?this.clone().iuxor(e):e.clone().iuxor(this)},a.prototype.inotn=function(e){i("number"==typeof e&&e>=0);var t=0|Math.ceil(e/26),r=e%26;this._expand(t),r>0&&t--;for(var n=0;n<t;n++)this.words[n]=67108863&~this.words[n];return r>0&&(this.words[n]=~this.words[n]&67108863>>26-r),this.strip()},a.prototype.notn=function(e){return this.clone().inotn(e)},a.prototype.setn=function(e,t){i("number"==typeof e&&e>=0);var r=e/26|0,n=e%26;return this._expand(r+1),this.words[r]=t?this.words[r]|1<<n:this.words[r]&~(1<<n),this.strip()},a.prototype.iadd=function(e){var t,r,i;if(0!==this.negative&&0===e.negative)return this.negative=0,t=this.isub(e),this.negative^=1,this._normSign();if(0===this.negative&&0!==e.negative)return e.negative=0,t=this.isub(e),e.negative=1,t._normSign();this.length>e.length?(r=this,i=e):(r=e,i=this);for(var n=0,a=0;a<i.length;a++)t=(0|r.words[a])+(0|i.words[a])+n,this.words[a]=67108863&t,n=t>>>26;for(;0!==n&&a<r.length;a++)t=(0|r.words[a])+n,this.words[a]=67108863&t,n=t>>>26;if(this.length=r.length,0!==n)this.words[this.length]=n,this.length++;else if(r!==this)for(;a<r.length;a++)this.words[a]=r.words[a];return this},a.prototype.add=function(e){var t;return 0!==e.negative&&0===this.negative?(e.negative=0,t=this.sub(e),e.negative^=1,t):0===e.negative&&0!==this.negative?(this.negative=0,t=e.sub(this),this.negative=1,t):this.length>e.length?this.clone().iadd(e):e.clone().iadd(this)},a.prototype.isub=function(e){if(0!==e.negative){e.negative=0;var t=this.iadd(e);return e.negative=1,t._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(e),this.negative=1,this._normSign();var r,i,n=this.cmp(e);if(0===n)return this.negative=0,this.length=1,this.words[0]=0,this;n>0?(r=this,i=e):(r=e,i=this);for(var a=0,o=0;o<i.length;o++)a=(t=(0|r.words[o])-(0|i.words[o])+a)>>26,this.words[o]=67108863&t;for(;0!==a&&o<r.length;o++)a=(t=(0|r.words[o])+a)>>26,this.words[o]=67108863&t;if(0===a&&o<r.length&&r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this.length=Math.max(this.length,o),r!==this&&(this.negative=1),this.strip()},a.prototype.sub=function(e){return this.clone().isub(e)};var l=function(e,t,r){var i,n,a,o=e.words,s=t.words,f=r.words,c=0,d=0|o[0],u=8191&d,h=d>>>13,l=0|o[1],b=8191&l,p=l>>>13,m=0|o[2],g=8191&m,v=m>>>13,y=0|o[3],w=8191&y,_=y>>>13,M=0|o[4],S=8191&M,k=M>>>13,E=0|o[5],x=8191&E,z=E>>>13,A=0|o[6],I=8191&A,q=A>>>13,R=0|o[7],j=8191&R,B=R>>>13,N=0|o[8],O=8191&N,T=N>>>13,P=0|o[9],L=8191&P,D=P>>>13,C=0|s[0],U=8191&C,F=C>>>13,K=0|s[1],J=8191&K,Z=K>>>13,H=0|s[2],W=8191&H,X=H>>>13,Y=0|s[3],V=8191&Y,G=Y>>>13,$=0|s[4],Q=8191&$,ee=$>>>13,te=0|s[5],re=8191&te,ie=te>>>13,ne=0|s[6],ae=8191&ne,oe=ne>>>13,se=0|s[7],fe=8191&se,ce=se>>>13,de=0|s[8],ue=8191&de,he=de>>>13,le=0|s[9],be=8191&le,pe=le>>>13;r.negative=e.negative^t.negative,r.length=19;var me=(c+(i=Math.imul(u,U))|0)+((8191&(n=(n=Math.imul(u,F))+Math.imul(h,U)|0))<<13)|0;c=((a=Math.imul(h,F))+(n>>>13)|0)+(me>>>26)|0,me&=67108863,i=Math.imul(b,U),n=(n=Math.imul(b,F))+Math.imul(p,U)|0,a=Math.imul(p,F);var ge=(c+(i=i+Math.imul(u,J)|0)|0)+((8191&(n=(n=n+Math.imul(u,Z)|0)+Math.imul(h,J)|0))<<13)|0;c=((a=a+Math.imul(h,Z)|0)+(n>>>13)|0)+(ge>>>26)|0,ge&=67108863,i=Math.imul(g,U),n=(n=Math.imul(g,F))+Math.imul(v,U)|0,a=Math.imul(v,F),i=i+Math.imul(b,J)|0,n=(n=n+Math.imul(b,Z)|0)+Math.imul(p,J)|0,a=a+Math.imul(p,Z)|0;var ve=(c+(i=i+Math.imul(u,W)|0)|0)+((8191&(n=(n=n+Math.imul(u,X)|0)+Math.imul(h,W)|0))<<13)|0;c=((a=a+Math.imul(h,X)|0)+(n>>>13)|0)+(ve>>>26)|0,ve&=67108863,i=Math.imul(w,U),n=(n=Math.imul(w,F))+Math.imul(_,U)|0,a=Math.imul(_,F),i=i+Math.imul(g,J)|0,n=(n=n+Math.imul(g,Z)|0)+Math.imul(v,J)|0,a=a+Math.imul(v,Z)|0,i=i+Math.imul(b,W)|0,n=(n=n+Math.imul(b,X)|0)+Math.imul(p,W)|0,a=a+Math.imul(p,X)|0;var ye=(c+(i=i+Math.imul(u,V)|0)|0)+((8191&(n=(n=n+Math.imul(u,G)|0)+Math.imul(h,V)|0))<<13)|0;c=((a=a+Math.imul(h,G)|0)+(n>>>13)|0)+(ye>>>26)|0,ye&=67108863,i=Math.imul(S,U),n=(n=Math.imul(S,F))+Math.imul(k,U)|0,a=Math.imul(k,F),i=i+Math.imul(w,J)|0,n=(n=n+Math.imul(w,Z)|0)+Math.imul(_,J)|0,a=a+Math.imul(_,Z)|0,i=i+Math.imul(g,W)|0,n=(n=n+Math.imul(g,X)|0)+Math.imul(v,W)|0,a=a+Math.imul(v,X)|0,i=i+Math.imul(b,V)|0,n=(n=n+Math.imul(b,G)|0)+Math.imul(p,V)|0,a=a+Math.imul(p,G)|0;var we=(c+(i=i+Math.imul(u,Q)|0)|0)+((8191&(n=(n=n+Math.imul(u,ee)|0)+Math.imul(h,Q)|0))<<13)|0;c=((a=a+Math.imul(h,ee)|0)+(n>>>13)|0)+(we>>>26)|0,we&=67108863,i=Math.imul(x,U),n=(n=Math.imul(x,F))+Math.imul(z,U)|0,a=Math.imul(z,F),i=i+Math.imul(S,J)|0,n=(n=n+Math.imul(S,Z)|0)+Math.imul(k,J)|0,a=a+Math.imul(k,Z)|0,i=i+Math.imul(w,W)|0,n=(n=n+Math.imul(w,X)|0)+Math.imul(_,W)|0,a=a+Math.imul(_,X)|0,i=i+Math.imul(g,V)|0,n=(n=n+Math.imul(g,G)|0)+Math.imul(v,V)|0,a=a+Math.imul(v,G)|0,i=i+Math.imul(b,Q)|0,n=(n=n+Math.imul(b,ee)|0)+Math.imul(p,Q)|0,a=a+Math.imul(p,ee)|0;var _e=(c+(i=i+Math.imul(u,re)|0)|0)+((8191&(n=(n=n+Math.imul(u,ie)|0)+Math.imul(h,re)|0))<<13)|0;c=((a=a+Math.imul(h,ie)|0)+(n>>>13)|0)+(_e>>>26)|0,_e&=67108863,i=Math.imul(I,U),n=(n=Math.imul(I,F))+Math.imul(q,U)|0,a=Math.imul(q,F),i=i+Math.imul(x,J)|0,n=(n=n+Math.imul(x,Z)|0)+Math.imul(z,J)|0,a=a+Math.imul(z,Z)|0,i=i+Math.imul(S,W)|0,n=(n=n+Math.imul(S,X)|0)+Math.imul(k,W)|0,a=a+Math.imul(k,X)|0,i=i+Math.imul(w,V)|0,n=(n=n+Math.imul(w,G)|0)+Math.imul(_,V)|0,a=a+Math.imul(_,G)|0,i=i+Math.imul(g,Q)|0,n=(n=n+Math.imul(g,ee)|0)+Math.imul(v,Q)|0,a=a+Math.imul(v,ee)|0,i=i+Math.imul(b,re)|0,n=(n=n+Math.imul(b,ie)|0)+Math.imul(p,re)|0,a=a+Math.imul(p,ie)|0;var Me=(c+(i=i+Math.imul(u,ae)|0)|0)+((8191&(n=(n=n+Math.imul(u,oe)|0)+Math.imul(h,ae)|0))<<13)|0;c=((a=a+Math.imul(h,oe)|0)+(n>>>13)|0)+(Me>>>26)|0,Me&=67108863,i=Math.imul(j,U),n=(n=Math.imul(j,F))+Math.imul(B,U)|0,a=Math.imul(B,F),i=i+Math.imul(I,J)|0,n=(n=n+Math.imul(I,Z)|0)+Math.imul(q,J)|0,a=a+Math.imul(q,Z)|0,i=i+Math.imul(x,W)|0,n=(n=n+Math.imul(x,X)|0)+Math.imul(z,W)|0,a=a+Math.imul(z,X)|0,i=i+Math.imul(S,V)|0,n=(n=n+Math.imul(S,G)|0)+Math.imul(k,V)|0,a=a+Math.imul(k,G)|0,i=i+Math.imul(w,Q)|0,n=(n=n+Math.imul(w,ee)|0)+Math.imul(_,Q)|0,a=a+Math.imul(_,ee)|0,i=i+Math.imul(g,re)|0,n=(n=n+Math.imul(g,ie)|0)+Math.imul(v,re)|0,a=a+Math.imul(v,ie)|0,i=i+Math.imul(b,ae)|0,n=(n=n+Math.imul(b,oe)|0)+Math.imul(p,ae)|0,a=a+Math.imul(p,oe)|0;var Se=(c+(i=i+Math.imul(u,fe)|0)|0)+((8191&(n=(n=n+Math.imul(u,ce)|0)+Math.imul(h,fe)|0))<<13)|0;c=((a=a+Math.imul(h,ce)|0)+(n>>>13)|0)+(Se>>>26)|0,Se&=67108863,i=Math.imul(O,U),n=(n=Math.imul(O,F))+Math.imul(T,U)|0,a=Math.imul(T,F),i=i+Math.imul(j,J)|0,n=(n=n+Math.imul(j,Z)|0)+Math.imul(B,J)|0,a=a+Math.imul(B,Z)|0,i=i+Math.imul(I,W)|0,n=(n=n+Math.imul(I,X)|0)+Math.imul(q,W)|0,a=a+Math.imul(q,X)|0,i=i+Math.imul(x,V)|0,n=(n=n+Math.imul(x,G)|0)+Math.imul(z,V)|0,a=a+Math.imul(z,G)|0,i=i+Math.imul(S,Q)|0,n=(n=n+Math.imul(S,ee)|0)+Math.imul(k,Q)|0,a=a+Math.imul(k,ee)|0,i=i+Math.imul(w,re)|0,n=(n=n+Math.imul(w,ie)|0)+Math.imul(_,re)|0,a=a+Math.imul(_,ie)|0,i=i+Math.imul(g,ae)|0,n=(n=n+Math.imul(g,oe)|0)+Math.imul(v,ae)|0,a=a+Math.imul(v,oe)|0,i=i+Math.imul(b,fe)|0,n=(n=n+Math.imul(b,ce)|0)+Math.imul(p,fe)|0,a=a+Math.imul(p,ce)|0;var ke=(c+(i=i+Math.imul(u,ue)|0)|0)+((8191&(n=(n=n+Math.imul(u,he)|0)+Math.imul(h,ue)|0))<<13)|0;c=((a=a+Math.imul(h,he)|0)+(n>>>13)|0)+(ke>>>26)|0,ke&=67108863,i=Math.imul(L,U),n=(n=Math.imul(L,F))+Math.imul(D,U)|0,a=Math.imul(D,F),i=i+Math.imul(O,J)|0,n=(n=n+Math.imul(O,Z)|0)+Math.imul(T,J)|0,a=a+Math.imul(T,Z)|0,i=i+Math.imul(j,W)|0,n=(n=n+Math.imul(j,X)|0)+Math.imul(B,W)|0,a=a+Math.imul(B,X)|0,i=i+Math.imul(I,V)|0,n=(n=n+Math.imul(I,G)|0)+Math.imul(q,V)|0,a=a+Math.imul(q,G)|0,i=i+Math.imul(x,Q)|0,n=(n=n+Math.imul(x,ee)|0)+Math.imul(z,Q)|0,a=a+Math.imul(z,ee)|0,i=i+Math.imul(S,re)|0,n=(n=n+Math.imul(S,ie)|0)+Math.imul(k,re)|0,a=a+Math.imul(k,ie)|0,i=i+Math.imul(w,ae)|0,n=(n=n+Math.imul(w,oe)|0)+Math.imul(_,ae)|0,a=a+Math.imul(_,oe)|0,i=i+Math.imul(g,fe)|0,n=(n=n+Math.imul(g,ce)|0)+Math.imul(v,fe)|0,a=a+Math.imul(v,ce)|0,i=i+Math.imul(b,ue)|0,n=(n=n+Math.imul(b,he)|0)+Math.imul(p,ue)|0,a=a+Math.imul(p,he)|0;var Ee=(c+(i=i+Math.imul(u,be)|0)|0)+((8191&(n=(n=n+Math.imul(u,pe)|0)+Math.imul(h,be)|0))<<13)|0;c=((a=a+Math.imul(h,pe)|0)+(n>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,i=Math.imul(L,J),n=(n=Math.imul(L,Z))+Math.imul(D,J)|0,a=Math.imul(D,Z),i=i+Math.imul(O,W)|0,n=(n=n+Math.imul(O,X)|0)+Math.imul(T,W)|0,a=a+Math.imul(T,X)|0,i=i+Math.imul(j,V)|0,n=(n=n+Math.imul(j,G)|0)+Math.imul(B,V)|0,a=a+Math.imul(B,G)|0,i=i+Math.imul(I,Q)|0,n=(n=n+Math.imul(I,ee)|0)+Math.imul(q,Q)|0,a=a+Math.imul(q,ee)|0,i=i+Math.imul(x,re)|0,n=(n=n+Math.imul(x,ie)|0)+Math.imul(z,re)|0,a=a+Math.imul(z,ie)|0,i=i+Math.imul(S,ae)|0,n=(n=n+Math.imul(S,oe)|0)+Math.imul(k,ae)|0,a=a+Math.imul(k,oe)|0,i=i+Math.imul(w,fe)|0,n=(n=n+Math.imul(w,ce)|0)+Math.imul(_,fe)|0,a=a+Math.imul(_,ce)|0,i=i+Math.imul(g,ue)|0,n=(n=n+Math.imul(g,he)|0)+Math.imul(v,ue)|0,a=a+Math.imul(v,he)|0;var xe=(c+(i=i+Math.imul(b,be)|0)|0)+((8191&(n=(n=n+Math.imul(b,pe)|0)+Math.imul(p,be)|0))<<13)|0;c=((a=a+Math.imul(p,pe)|0)+(n>>>13)|0)+(xe>>>26)|0,xe&=67108863,i=Math.imul(L,W),n=(n=Math.imul(L,X))+Math.imul(D,W)|0,a=Math.imul(D,X),i=i+Math.imul(O,V)|0,n=(n=n+Math.imul(O,G)|0)+Math.imul(T,V)|0,a=a+Math.imul(T,G)|0,i=i+Math.imul(j,Q)|0,n=(n=n+Math.imul(j,ee)|0)+Math.imul(B,Q)|0,a=a+Math.imul(B,ee)|0,i=i+Math.imul(I,re)|0,n=(n=n+Math.imul(I,ie)|0)+Math.imul(q,re)|0,a=a+Math.imul(q,ie)|0,i=i+Math.imul(x,ae)|0,n=(n=n+Math.imul(x,oe)|0)+Math.imul(z,ae)|0,a=a+Math.imul(z,oe)|0,i=i+Math.imul(S,fe)|0,n=(n=n+Math.imul(S,ce)|0)+Math.imul(k,fe)|0,a=a+Math.imul(k,ce)|0,i=i+Math.imul(w,ue)|0,n=(n=n+Math.imul(w,he)|0)+Math.imul(_,ue)|0,a=a+Math.imul(_,he)|0;var ze=(c+(i=i+Math.imul(g,be)|0)|0)+((8191&(n=(n=n+Math.imul(g,pe)|0)+Math.imul(v,be)|0))<<13)|0;c=((a=a+Math.imul(v,pe)|0)+(n>>>13)|0)+(ze>>>26)|0,ze&=67108863,i=Math.imul(L,V),n=(n=Math.imul(L,G))+Math.imul(D,V)|0,a=Math.imul(D,G),i=i+Math.imul(O,Q)|0,n=(n=n+Math.imul(O,ee)|0)+Math.imul(T,Q)|0,a=a+Math.imul(T,ee)|0,i=i+Math.imul(j,re)|0,n=(n=n+Math.imul(j,ie)|0)+Math.imul(B,re)|0,a=a+Math.imul(B,ie)|0,i=i+Math.imul(I,ae)|0,n=(n=n+Math.imul(I,oe)|0)+Math.imul(q,ae)|0,a=a+Math.imul(q,oe)|0,i=i+Math.imul(x,fe)|0,n=(n=n+Math.imul(x,ce)|0)+Math.imul(z,fe)|0,a=a+Math.imul(z,ce)|0,i=i+Math.imul(S,ue)|0,n=(n=n+Math.imul(S,he)|0)+Math.imul(k,ue)|0,a=a+Math.imul(k,he)|0;var Ae=(c+(i=i+Math.imul(w,be)|0)|0)+((8191&(n=(n=n+Math.imul(w,pe)|0)+Math.imul(_,be)|0))<<13)|0;c=((a=a+Math.imul(_,pe)|0)+(n>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,i=Math.imul(L,Q),n=(n=Math.imul(L,ee))+Math.imul(D,Q)|0,a=Math.imul(D,ee),i=i+Math.imul(O,re)|0,n=(n=n+Math.imul(O,ie)|0)+Math.imul(T,re)|0,a=a+Math.imul(T,ie)|0,i=i+Math.imul(j,ae)|0,n=(n=n+Math.imul(j,oe)|0)+Math.imul(B,ae)|0,a=a+Math.imul(B,oe)|0,i=i+Math.imul(I,fe)|0,n=(n=n+Math.imul(I,ce)|0)+Math.imul(q,fe)|0,a=a+Math.imul(q,ce)|0,i=i+Math.imul(x,ue)|0,n=(n=n+Math.imul(x,he)|0)+Math.imul(z,ue)|0,a=a+Math.imul(z,he)|0;var Ie=(c+(i=i+Math.imul(S,be)|0)|0)+((8191&(n=(n=n+Math.imul(S,pe)|0)+Math.imul(k,be)|0))<<13)|0;c=((a=a+Math.imul(k,pe)|0)+(n>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,i=Math.imul(L,re),n=(n=Math.imul(L,ie))+Math.imul(D,re)|0,a=Math.imul(D,ie),i=i+Math.imul(O,ae)|0,n=(n=n+Math.imul(O,oe)|0)+Math.imul(T,ae)|0,a=a+Math.imul(T,oe)|0,i=i+Math.imul(j,fe)|0,n=(n=n+Math.imul(j,ce)|0)+Math.imul(B,fe)|0,a=a+Math.imul(B,ce)|0,i=i+Math.imul(I,ue)|0,n=(n=n+Math.imul(I,he)|0)+Math.imul(q,ue)|0,a=a+Math.imul(q,he)|0;var qe=(c+(i=i+Math.imul(x,be)|0)|0)+((8191&(n=(n=n+Math.imul(x,pe)|0)+Math.imul(z,be)|0))<<13)|0;c=((a=a+Math.imul(z,pe)|0)+(n>>>13)|0)+(qe>>>26)|0,qe&=67108863,i=Math.imul(L,ae),n=(n=Math.imul(L,oe))+Math.imul(D,ae)|0,a=Math.imul(D,oe),i=i+Math.imul(O,fe)|0,n=(n=n+Math.imul(O,ce)|0)+Math.imul(T,fe)|0,a=a+Math.imul(T,ce)|0,i=i+Math.imul(j,ue)|0,n=(n=n+Math.imul(j,he)|0)+Math.imul(B,ue)|0,a=a+Math.imul(B,he)|0;var Re=(c+(i=i+Math.imul(I,be)|0)|0)+((8191&(n=(n=n+Math.imul(I,pe)|0)+Math.imul(q,be)|0))<<13)|0;c=((a=a+Math.imul(q,pe)|0)+(n>>>13)|0)+(Re>>>26)|0,Re&=67108863,i=Math.imul(L,fe),n=(n=Math.imul(L,ce))+Math.imul(D,fe)|0,a=Math.imul(D,ce),i=i+Math.imul(O,ue)|0,n=(n=n+Math.imul(O,he)|0)+Math.imul(T,ue)|0,a=a+Math.imul(T,he)|0;var je=(c+(i=i+Math.imul(j,be)|0)|0)+((8191&(n=(n=n+Math.imul(j,pe)|0)+Math.imul(B,be)|0))<<13)|0;c=((a=a+Math.imul(B,pe)|0)+(n>>>13)|0)+(je>>>26)|0,je&=67108863,i=Math.imul(L,ue),n=(n=Math.imul(L,he))+Math.imul(D,ue)|0,a=Math.imul(D,he);var Be=(c+(i=i+Math.imul(O,be)|0)|0)+((8191&(n=(n=n+Math.imul(O,pe)|0)+Math.imul(T,be)|0))<<13)|0;c=((a=a+Math.imul(T,pe)|0)+(n>>>13)|0)+(Be>>>26)|0,Be&=67108863;var Ne=(c+(i=Math.imul(L,be))|0)+((8191&(n=(n=Math.imul(L,pe))+Math.imul(D,be)|0))<<13)|0;return c=((a=Math.imul(D,pe))+(n>>>13)|0)+(Ne>>>26)|0,Ne&=67108863,f[0]=me,f[1]=ge,f[2]=ve,f[3]=ye,f[4]=we,f[5]=_e,f[6]=Me,f[7]=Se,f[8]=ke,f[9]=Ee,f[10]=xe,f[11]=ze,f[12]=Ae,f[13]=Ie,f[14]=qe,f[15]=Re,f[16]=je,f[17]=Be,f[18]=Ne,0!==c&&(f[19]=c,r.length++),r};function b(e,t,r){return(new p).mulp(e,t,r)}function p(e,t){this.x=e,this.y=t}Math.imul||(l=h),a.prototype.mulTo=function(e,t){var r=this.length+e.length;return 10===this.length&&10===e.length?l(this,e,t):r<63?h(this,e,t):r<1024?function(e,t,r){r.negative=t.negative^e.negative,r.length=e.length+t.length;for(var i=0,n=0,a=0;a<r.length-1;a++){var o=n;n=0;for(var s=67108863&i,f=Math.min(a,t.length-1),c=Math.max(0,a-e.length+1);c<=f;c++){var d=a-c,u=(0|e.words[d])*(0|t.words[c]),h=67108863&u;s=67108863&(h=h+s|0),n+=(o=(o=o+(u/67108864|0)|0)+(h>>>26)|0)>>>26,o&=67108863}r.words[a]=s,i=o,o=n}return 0!==i?r.words[a]=i:r.length--,r.strip()}(this,e,t):b(this,e,t)},p.prototype.makeRBT=function(e){for(var t=new Array(e),r=a.prototype._countBits(e)-1,i=0;i<e;i++)t[i]=this.revBin(i,r,e);return t},p.prototype.revBin=function(e,t,r){if(0===e||e===r-1)return e;for(var i=0,n=0;n<t;n++)i|=(1&e)<<t-n-1,e>>=1;return i},p.prototype.permute=function(e,t,r,i,n,a){for(var o=0;o<a;o++)i[o]=t[e[o]],n[o]=r[e[o]]},p.prototype.transform=function(e,t,r,i,n,a){this.permute(a,e,t,r,i,n);for(var o=1;o<n;o<<=1)for(var s=o<<1,f=Math.cos(2*Math.PI/s),c=Math.sin(2*Math.PI/s),d=0;d<n;d+=s)for(var u=f,h=c,l=0;l<o;l++){var b=r[d+l],p=i[d+l],m=r[d+l+o],g=i[d+l+o],v=u*m-h*g;g=u*g+h*m,m=v,r[d+l]=b+m,i[d+l]=p+g,r[d+l+o]=b-m,i[d+l+o]=p-g,l!==s&&(v=f*u-c*h,h=f*h+c*u,u=v)}},p.prototype.guessLen13b=function(e,t){var r=1|Math.max(t,e),i=1&r,n=0;for(r=r/2|0;r;r>>>=1)n++;return 1<<n+1+i},p.prototype.conjugate=function(e,t,r){if(!(r<=1))for(var i=0;i<r/2;i++){var n=e[i];e[i]=e[r-i-1],e[r-i-1]=n,n=t[i],t[i]=-t[r-i-1],t[r-i-1]=-n}},p.prototype.normalize13b=function(e,t){for(var r=0,i=0;i<t/2;i++){var n=8192*Math.round(e[2*i+1]/t)+Math.round(e[2*i]/t)+r;e[i]=67108863&n,r=n<67108864?0:n/67108864|0}return e},p.prototype.convert13b=function(e,t,r,n){for(var a=0,o=0;o<t;o++)a+=0|e[o],r[2*o]=8191&a,a>>>=13,r[2*o+1]=8191&a,a>>>=13;for(o=2*t;o<n;++o)r[o]=0;i(0===a),i(0==(-8192&a))},p.prototype.stub=function(e){for(var t=new Array(e),r=0;r<e;r++)t[r]=0;return t},p.prototype.mulp=function(e,t,r){var i=2*this.guessLen13b(e.length,t.length),n=this.makeRBT(i),a=this.stub(i),o=new Array(i),s=new Array(i),f=new Array(i),c=new Array(i),d=new Array(i),u=new Array(i),h=r.words;h.length=i,this.convert13b(e.words,e.length,o,i),this.convert13b(t.words,t.length,c,i),this.transform(o,a,s,f,i,n),this.transform(c,a,d,u,i,n);for(var l=0;l<i;l++){var b=s[l]*d[l]-f[l]*u[l];f[l]=s[l]*u[l]+f[l]*d[l],s[l]=b}return this.conjugate(s,f,i),this.transform(s,f,h,a,i,n),this.conjugate(h,a,i),this.normalize13b(h,i),r.negative=e.negative^t.negative,r.length=e.length+t.length,r.strip()},a.prototype.mul=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},a.prototype.mulf=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),b(this,e,t)},a.prototype.imul=function(e){return this.clone().mulTo(e,this)},a.prototype.imuln=function(e){i("number"==typeof e),i(e<67108864);for(var t=0,r=0;r<this.length;r++){var n=(0|this.words[r])*e,a=(67108863&n)+(67108863&t);t>>=26,t+=n/67108864|0,t+=a>>>26,this.words[r]=67108863&a}return 0!==t&&(this.words[r]=t,this.length++),this},a.prototype.muln=function(e){return this.clone().imuln(e)},a.prototype.sqr=function(){return this.mul(this)},a.prototype.isqr=function(){return this.imul(this.clone())},a.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),r=0;r<t.length;r++){var i=r/26|0,n=r%26;t[r]=(e.words[i]&1<<n)>>>n}return t}(e);if(0===t.length)return new a(1);for(var r=this,i=0;i<t.length&&0===t[i];i++,r=r.sqr());if(++i<t.length)for(var n=r.sqr();i<t.length;i++,n=n.sqr())0!==t[i]&&(r=r.mul(n));return r},a.prototype.iushln=function(e){i("number"==typeof e&&e>=0);var t,r=e%26,n=(e-r)/26,a=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(t=0;t<this.length;t++){var s=this.words[t]&a,f=(0|this.words[t])-s<<r;this.words[t]=f|o,o=s>>>26-r}o&&(this.words[t]=o,this.length++)}if(0!==n){for(t=this.length-1;t>=0;t--)this.words[t+n]=this.words[t];for(t=0;t<n;t++)this.words[t]=0;this.length+=n}return this.strip()},a.prototype.ishln=function(e){return i(0===this.negative),this.iushln(e)},a.prototype.iushrn=function(e,t,r){var n;i("number"==typeof e&&e>=0),n=t?(t-t%26)/26:0;var a=e%26,o=Math.min((e-a)/26,this.length),s=67108863^67108863>>>a<<a,f=r;if(n-=o,n=Math.max(0,n),f){for(var c=0;c<o;c++)f.words[c]=this.words[c];f.length=o}if(0===o);else if(this.length>o)for(this.length-=o,c=0;c<this.length;c++)this.words[c]=this.words[c+o];else this.words[0]=0,this.length=1;var d=0;for(c=this.length-1;c>=0&&(0!==d||c>=n);c--){var u=0|this.words[c];this.words[c]=d<<26-a|u>>>a,d=u&s}return f&&0!==d&&(f.words[f.length++]=d),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},a.prototype.ishrn=function(e,t,r){return i(0===this.negative),this.iushrn(e,t,r)},a.prototype.shln=function(e){return this.clone().ishln(e)},a.prototype.ushln=function(e){return this.clone().iushln(e)},a.prototype.shrn=function(e){return this.clone().ishrn(e)},a.prototype.ushrn=function(e){return this.clone().iushrn(e)},a.prototype.testn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26,n=1<<t;return!(this.length<=r)&&!!(this.words[r]&n)},a.prototype.imaskn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==t&&r++,this.length=Math.min(r,this.length),0!==t){var n=67108863^67108863>>>t<<t;this.words[this.length-1]&=n}return this.strip()},a.prototype.maskn=function(e){return this.clone().imaskn(e)},a.prototype.iaddn=function(e){return i("number"==typeof e),i(e<67108864),e<0?this.isubn(-e):0!==this.negative?1===this.length&&(0|this.words[0])<e?(this.words[0]=e-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(e),this.negative=1,this):this._iaddn(e)},a.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},a.prototype.isubn=function(e){if(i("number"==typeof e),i(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,this.words[t+1]-=1;return this.strip()},a.prototype.addn=function(e){return this.clone().iaddn(e)},a.prototype.subn=function(e){return this.clone().isubn(e)},a.prototype.iabs=function(){return this.negative=0,this},a.prototype.abs=function(){return this.clone().iabs()},a.prototype._ishlnsubmul=function(e,t,r){var n,a,o=e.length+r;this._expand(o);var s=0;for(n=0;n<e.length;n++){a=(0|this.words[n+r])+s;var f=(0|e.words[n])*t;s=((a-=67108863&f)>>26)-(f/67108864|0),this.words[n+r]=67108863&a}for(;n<this.length-r;n++)s=(a=(0|this.words[n+r])+s)>>26,this.words[n+r]=67108863&a;if(0===s)return this.strip();for(i(-1===s),s=0,n=0;n<this.length;n++)s=(a=-(0|this.words[n])+s)>>26,this.words[n]=67108863&a;return this.negative=1,this.strip()},a.prototype._wordDiv=function(e,t){var r=(this.length,e.length),i=this.clone(),n=e,o=0|n.words[n.length-1];0!==(r=26-this._countBits(o))&&(n=n.ushln(r),i.iushln(r),o=0|n.words[n.length-1]);var s,f=i.length-n.length;if("mod"!==t){(s=new a(null)).length=f+1,s.words=new Array(s.length);for(var c=0;c<s.length;c++)s.words[c]=0}var d=i.clone()._ishlnsubmul(n,1,f);0===d.negative&&(i=d,s&&(s.words[f]=1));for(var u=f-1;u>=0;u--){var h=67108864*(0|i.words[n.length+u])+(0|i.words[n.length+u-1]);for(h=Math.min(h/o|0,67108863),i._ishlnsubmul(n,h,u);0!==i.negative;)h--,i.negative=0,i._ishlnsubmul(n,1,u),i.isZero()||(i.negative^=1);s&&(s.words[u]=h)}return s&&s.strip(),i.strip(),"div"!==t&&0!==r&&i.iushrn(r),{div:s||null,mod:i}},a.prototype.divmod=function(e,t,r){return i(!e.isZero()),this.isZero()?{div:new a(0),mod:new a(0)}:0!==this.negative&&0===e.negative?(s=this.neg().divmod(e,t),"mod"!==t&&(n=s.div.neg()),"div"!==t&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(e)),{div:n,mod:o}):0===this.negative&&0!==e.negative?(s=this.divmod(e.neg(),t),"mod"!==t&&(n=s.div.neg()),{div:n,mod:s.mod}):0!=(this.negative&e.negative)?(s=this.neg().divmod(e.neg(),t),"div"!==t&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(e)),{div:s.div,mod:o}):e.length>this.length||this.cmp(e)<0?{div:new a(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new a(this.modn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new a(this.modn(e.words[0]))}:this._wordDiv(e,t);var n,o,s},a.prototype.div=function(e){return this.divmod(e,"div",!1).div},a.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},a.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},a.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var r=0!==t.div.negative?t.mod.isub(e):t.mod,i=e.ushrn(1),n=e.andln(1),a=r.cmp(i);return a<0||1===n&&0===a?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},a.prototype.modn=function(e){i(e<=67108863);for(var t=(1<<26)%e,r=0,n=this.length-1;n>=0;n--)r=(t*r+(0|this.words[n]))%e;return r},a.prototype.idivn=function(e){i(e<=67108863);for(var t=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*t;this.words[r]=n/e|0,t=n%e}return this.strip()},a.prototype.divn=function(e){return this.clone().idivn(e)},a.prototype.egcd=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var n=new a(1),o=new a(0),s=new a(0),f=new a(1),c=0;t.isEven()&&r.isEven();)t.iushrn(1),r.iushrn(1),++c;for(var d=r.clone(),u=t.clone();!t.isZero();){for(var h=0,l=1;0==(t.words[0]&l)&&h<26;++h,l<<=1);if(h>0)for(t.iushrn(h);h-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(d),o.isub(u)),n.iushrn(1),o.iushrn(1);for(var b=0,p=1;0==(r.words[0]&p)&&b<26;++b,p<<=1);if(b>0)for(r.iushrn(b);b-- >0;)(s.isOdd()||f.isOdd())&&(s.iadd(d),f.isub(u)),s.iushrn(1),f.iushrn(1);t.cmp(r)>=0?(t.isub(r),n.isub(s),o.isub(f)):(r.isub(t),s.isub(n),f.isub(o))}return{a:s,b:f,gcd:r.iushln(c)}},a.prototype._invmp=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var n,o=new a(1),s=new a(0),f=r.clone();t.cmpn(1)>0&&r.cmpn(1)>0;){for(var c=0,d=1;0==(t.words[0]&d)&&c<26;++c,d<<=1);if(c>0)for(t.iushrn(c);c-- >0;)o.isOdd()&&o.iadd(f),o.iushrn(1);for(var u=0,h=1;0==(r.words[0]&h)&&u<26;++u,h<<=1);if(u>0)for(r.iushrn(u);u-- >0;)s.isOdd()&&s.iadd(f),s.iushrn(1);t.cmp(r)>=0?(t.isub(r),o.isub(s)):(r.isub(t),s.isub(o))}return(n=0===t.cmpn(1)?o:s).cmpn(0)<0&&n.iadd(e),n},a.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),r=e.clone();t.negative=0,r.negative=0;for(var i=0;t.isEven()&&r.isEven();i++)t.iushrn(1),r.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;r.isEven();)r.iushrn(1);var n=t.cmp(r);if(n<0){var a=t;t=r,r=a}else if(0===n||0===r.cmpn(1))break;t.isub(r)}return r.iushln(i)},a.prototype.invm=function(e){return this.egcd(e).a.umod(e)},a.prototype.isEven=function(){return 0==(1&this.words[0])},a.prototype.isOdd=function(){return 1==(1&this.words[0])},a.prototype.andln=function(e){return this.words[0]&e},a.prototype.bincn=function(e){i("number"==typeof e);var t=e%26,r=(e-t)/26,n=1<<t;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var a=n,o=r;0!==a&&o<this.length;o++){var s=0|this.words[o];a=(s+=a)>>>26,s&=67108863,this.words[o]=s}return 0!==a&&(this.words[o]=a,this.length++),this},a.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},a.prototype.cmpn=function(e){var t,r=e<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)t=1;else{r&&(e=-e),i(e<=67108863,"Number is too big");var n=0|this.words[0];t=n===e?0:n<e?-1:1}return 0!==this.negative?0|-t:t},a.prototype.cmp=function(e){if(0!==this.negative&&0===e.negative)return-1;if(0===this.negative&&0!==e.negative)return 1;var t=this.ucmp(e);return 0!==this.negative?0|-t:t},a.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,r=this.length-1;r>=0;r--){var i=0|this.words[r],n=0|e.words[r];if(i!==n){i<n?t=-1:i>n&&(t=1);break}}return t},a.prototype.gtn=function(e){return 1===this.cmpn(e)},a.prototype.gt=function(e){return 1===this.cmp(e)},a.prototype.gten=function(e){return this.cmpn(e)>=0},a.prototype.gte=function(e){return this.cmp(e)>=0},a.prototype.ltn=function(e){return-1===this.cmpn(e)},a.prototype.lt=function(e){return-1===this.cmp(e)},a.prototype.lten=function(e){return this.cmpn(e)<=0},a.prototype.lte=function(e){return this.cmp(e)<=0},a.prototype.eqn=function(e){return 0===this.cmpn(e)},a.prototype.eq=function(e){return 0===this.cmp(e)},a.red=function(e){return new M(e)},a.prototype.toRed=function(e){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),e.convertTo(this)._forceRed(e)},a.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},a.prototype._forceRed=function(e){return this.red=e,this},a.prototype.forceRed=function(e){return i(!this.red,"Already a number in reduction context"),this._forceRed(e)},a.prototype.redAdd=function(e){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,e)},a.prototype.redIAdd=function(e){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,e)},a.prototype.redSub=function(e){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,e)},a.prototype.redISub=function(e){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,e)},a.prototype.redShl=function(e){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,e)},a.prototype.redMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.mul(this,e)},a.prototype.redIMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.imul(this,e)},a.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},a.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},a.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},a.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},a.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},a.prototype.redPow=function(e){return i(this.red&&!e.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,e)};var m={k256:null,p224:null,p192:null,p25519:null};function g(e,t){this.name=e,this.p=new a(t,16),this.n=this.p.bitLength(),this.k=new a(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function v(){g.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function y(){g.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function w(){g.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function _(){g.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function M(e){if("string"==typeof e){var t=a._prime(e);this.m=t.p,this.prime=t}else i(e.gtn(1),"modulus must be greater than 1"),this.m=e,this.prime=null}function S(e){M.call(this,e),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new a(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 e=new a(null);return e.words=new Array(Math.ceil(this.n/13)),e},g.prototype.ireduce=function(e){var t,r=e;do{this.split(r,this.tmp),t=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(t>this.n);var i=t<this.n?-1:r.ucmp(this.p);return 0===i?(r.words[0]=0,r.length=1):i>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},g.prototype.split=function(e,t){e.iushrn(this.n,0,t)},g.prototype.imulK=function(e){return e.imul(this.k)},n(v,g),v.prototype.split=function(e,t){for(var r=Math.min(e.length,9),i=0;i<r;i++)t.words[i]=e.words[i];if(t.length=r,e.length<=9)return e.words[0]=0,void(e.length=1);var n=e.words[9];for(t.words[t.length++]=4194303&n,i=10;i<e.length;i++){var a=0|e.words[i];e.words[i-10]=(4194303&a)<<4|n>>>22,n=a}n>>>=22,e.words[i-10]=n,0===n&&e.length>10?e.length-=10:e.length-=9},v.prototype.imulK=function(e){e.words[e.length]=0,e.words[e.length+1]=0,e.length+=2;for(var t=0,r=0;r<e.length;r++){var i=0|e.words[r];t+=977*i,e.words[r]=67108863&t,t=64*i+(t/67108864|0)}return 0===e.words[e.length-1]&&(e.length--,0===e.words[e.length-1]&&e.length--),e},n(y,g),n(w,g),n(_,g),_.prototype.imulK=function(e){for(var t=0,r=0;r<e.length;r++){var i=19*(0|e.words[r])+t,n=67108863&i;i>>>=26,e.words[r]=n,t=i}return 0!==t&&(e.words[e.length++]=t),e},a._prime=function(e){if(m[e])return m[e];var t;if("k256"===e)t=new v;else if("p224"===e)t=new y;else if("p192"===e)t=new w;else{if("p25519"!==e)throw new Error("Unknown prime "+e);t=new _}return m[e]=t,t},M.prototype._verify1=function(e){i(0===e.negative,"red works only with positives"),i(e.red,"red works only with red numbers")},M.prototype._verify2=function(e,t){i(0==(e.negative|t.negative),"red works only with positives"),i(e.red&&e.red===t.red,"red works only with red numbers")},M.prototype.imod=function(e){return this.prime?this.prime.ireduce(e)._forceRed(this):e.umod(this.m)._forceRed(this)},M.prototype.neg=function(e){return e.isZero()?e.clone():this.m.sub(e)._forceRed(this)},M.prototype.add=function(e,t){this._verify2(e,t);var r=e.add(t);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},M.prototype.iadd=function(e,t){this._verify2(e,t);var r=e.iadd(t);return r.cmp(this.m)>=0&&r.isub(this.m),r},M.prototype.sub=function(e,t){this._verify2(e,t);var r=e.sub(t);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},M.prototype.isub=function(e,t){this._verify2(e,t);var r=e.isub(t);return r.cmpn(0)<0&&r.iadd(this.m),r},M.prototype.shl=function(e,t){return this._verify1(e),this.imod(e.ushln(t))},M.prototype.imul=function(e,t){return this._verify2(e,t),this.imod(e.imul(t))},M.prototype.mul=function(e,t){return this._verify2(e,t),this.imod(e.mul(t))},M.prototype.isqr=function(e){return this.imul(e,e.clone())},M.prototype.sqr=function(e){return this.mul(e,e)},M.prototype.sqrt=function(e){if(e.isZero())return e.clone();var t=this.m.andln(3);if(i(t%2==1),3===t){var r=this.m.add(new a(1)).iushrn(2);return this.pow(e,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var s=new a(1).toRed(this),f=s.redNeg(),c=this.m.subn(1).iushrn(1),d=this.m.bitLength();for(d=new a(2*d*d).toRed(this);0!==this.pow(d,c).cmp(f);)d.redIAdd(f);for(var u=this.pow(d,n),h=this.pow(e,n.addn(1).iushrn(1)),l=this.pow(e,n),b=o;0!==l.cmp(s);){for(var p=l,m=0;0!==p.cmp(s);m++)p=p.redSqr();i(m<b);var g=this.pow(u,new a(1).iushln(b-m-1));h=h.redMul(g),u=g.redSqr(),l=l.redMul(u),b=m}return h},M.prototype.invm=function(e){var t=e._invmp(this.m);return 0!==t.negative?(t.negative=0,this.imod(t).redNeg()):this.imod(t)},M.prototype.pow=function(e,t){if(t.isZero())return new a(1).toRed(this);if(0===t.cmpn(1))return e.clone();var r=new Array(16);r[0]=new a(1).toRed(this),r[1]=e;for(var i=2;i<r.length;i++)r[i]=this.mul(r[i-1],e);var n=r[0],o=0,s=0,f=t.bitLength()%26;for(0===f&&(f=26),i=t.length-1;i>=0;i--){for(var c=t.words[i],d=f-1;d>=0;d--){var u=c>>d&1;n!==r[0]&&(n=this.sqr(n)),0!==u||0!==o?(o<<=1,o|=u,(4===++s||0===i&&0===d)&&(n=this.mul(n,r[o]),s=0,o=0)):s=0}f=26}return n},M.prototype.convertTo=function(e){var t=e.umod(this.m);return t===e?t.clone():t},M.prototype.convertFrom=function(e){var t=e.clone();return t.red=null,t},a.mont=function(e){return new S(e)},n(S,M),S.prototype.convertTo=function(e){return this.imod(e.ushln(this.shift))},S.prototype.convertFrom=function(e){var t=this.imod(e.mul(this.rinv));return t.red=null,t},S.prototype.imul=function(e,t){if(e.isZero()||t.isZero())return e.words[0]=0,e.length=1,e;var r=e.imul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(i).iushrn(this.shift),a=n;return n.cmp(this.m)>=0?a=n.isub(this.m):n.cmpn(0)<0&&(a=n.iadd(this.m)),a._forceRed(this)},S.prototype.mul=function(e,t){if(e.isZero()||t.isZero())return new a(0)._forceRed(this);var r=e.mul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(i).iushrn(this.shift),o=n;return n.cmp(this.m)>=0?o=n.isub(this.m):n.cmpn(0)<0&&(o=n.iadd(this.m)),o._forceRed(this)},S.prototype.invm=function(e){return this.imod(e._invmp(this.m).mul(this.r2))._forceRed(this)}}(e,this)}).call(this,r(45)(e))},function(e,t){var r;r=function(){return this}();try{r=r||new Function("return this")()}catch(e){"object"==typeof window&&(r=window)}e.exports=r},function(e,t){function r(e,t){if(!e)throw new Error(t||"Assertion failed")}e.exports=r,r.equal=function(e,t,r){if(e!=t)throw new Error(r||"Assertion failed: "+e+" != "+t)}},function(e,t,r){"use strict";var i=t,n=r(4),a=r(6),o=r(93);i.assert=a,i.toArray=o.toArray,i.zero2=o.zero2,i.toHex=o.toHex,i.encode=o.encode,i.getNAF=function(e,t,r){var i=new Array(Math.max(e.bitLength(),r)+1);i.fill(0);for(var n=1<<t+1,a=e.clone(),o=0;o<i.length;o++){var s,f=a.andln(n-1);a.isOdd()?(s=f>(n>>1)-1?(n>>1)-f:f,a.isubn(s)):s=0,i[o]=s,a.iushrn(1)}return i},i.getJSF=function(e,t){var r=[[],[]];e=e.clone(),t=t.clone();for(var i=0,n=0;e.cmpn(-i)>0||t.cmpn(-n)>0;){var a,o,s,f=e.andln(3)+i&3,c=t.andln(3)+n&3;if(3===f&&(f=-1),3===c&&(c=-1),0==(1&f))a=0;else a=3!==(s=e.andln(7)+i&7)&&5!==s||2!==c?f:-f;if(r[0].push(a),0==(1&c))o=0;else o=3!==(s=t.andln(7)+n&7)&&5!==s||2!==f?c:-c;r[1].push(o),2*i===a+1&&(i=1-i),2*n===o+1&&(n=1-n),e.iushrn(1),t.iushrn(1)}return r},i.cachedProperty=function(e,t,r){var i="_"+t;e.prototype[t]=function(){return void 0!==this[i]?this[i]:this[i]=r.call(this)}},i.parseBytes=function(e){return"string"==typeof e?i.toArray(e,"hex"):e},i.intFromLE=function(e){return new n(e,"hex","le")}},function(e,t,r){"use strict";
/*!
 * assert.js - assert for bcrypto
 * Copyright (c) 2020, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=function e(t,r){if(!t){const t=new Error(r||"Assertion failed");throw Error.captureStackTrace&&Error.captureStackTrace(t,e),t}}},function(e,t,r){"use strict";var i=r(6),n=r(0);function a(e,t){return 55296==(64512&e.charCodeAt(t))&&(!(t<0||t+1>=e.length)&&56320==(64512&e.charCodeAt(t+1)))}function o(e){return(e>>>24|e>>>8&65280|e<<8&16711680|(255&e)<<24)>>>0}function s(e){return 1===e.length?"0"+e:e}function f(e){return 7===e.length?"0"+e:6===e.length?"00"+e:5===e.length?"000"+e:4===e.length?"0000"+e:3===e.length?"00000"+e:2===e.length?"000000"+e:1===e.length?"0000000"+e:e}t.inherits=n,t.toArray=function(e,t){if(Array.isArray(e))return e.slice();if(!e)return[];var r=[];if("string"==typeof e)if(t){if("hex"===t)for((e=e.replace(/[^a-z0-9]+/gi,"")).length%2!=0&&(e="0"+e),n=0;n<e.length;n+=2)r.push(parseInt(e[n]+e[n+1],16))}else for(var i=0,n=0;n<e.length;n++){var 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i(t.n,16),this.g=t.g&&this.pointFromJSON(t.g,t.gRed),this._wnafT1=new Array(4),this._wnafT2=new Array(4),this._wnafT3=new Array(4),this._wnafT4=new Array(4),this._bitLength=this.n?this.n.bitLength():0;var r=this.n&&this.p.div(this.n);!r||r.cmpn(100)>0?this.redN=null:(this._maxwellTrick=!0,this.redN=this.n.toRed(this.red))}function c(e,t){this.curve=e,this.type=t,this.precomputed=null}e.exports=f,f.prototype.point=function(){throw new Error("Not implemented")},f.prototype.validate=function(){throw new Error("Not implemented")},f.prototype._fixedNafMul=function(e,t){s(e.precomputed);var r=e._getDoubles(),i=a(t,1,this._bitLength),n=(1<<r.step+1)-(r.step%2==0?2:1);n/=3;for(var o=[],f=0;f<i.length;f+=r.step){var c=0;for(t=f+r.step-1;t>=f;t--)c=(c<<1)+i[t];o.push(c)}for(var d=this.jpoint(null,null,null),u=this.jpoint(null,null,null),h=n;h>0;h--){for(f=0;f<o.length;f++){(c=o[f])===h?u=u.mixedAdd(r.points[f]):c===-h&&(u=u.mixedAdd(r.points[f].neg()))}d=d.add(u)}return d.toP()},f.prototype._wnafMul=function(e,t){var r=4,i=e._getNAFPoints(r);r=i.wnd;for(var n=i.points,o=a(t,r,this._bitLength),f=this.jpoint(null,null,null),c=o.length-1;c>=0;c--){for(t=0;c>=0&&0===o[c];c--)t++;if(c>=0&&t++,f=f.dblp(t),c<0)break;var d=o[c];s(0!==d),f="affine"===e.type?d>0?f.mixedAdd(n[d-1>>1]):f.mixedAdd(n[-d-1>>1].neg()):d>0?f.add(n[d-1>>1]):f.add(n[-d-1>>1].neg())}return"affine"===e.type?f.toP():f},f.prototype._wnafMulAdd=function(e,t,r,i,n){for(var s=this._wnafT1,f=this._wnafT2,c=this._wnafT3,d=0,u=0;u<i;u++){var h=(E=t[u])._getNAFPoints(e);s[u]=h.wnd,f[u]=h.points}for(u=i-1;u>=1;u-=2){var l=u-1,b=u;if(1===s[l]&&1===s[b]){var p=[t[l],null,null,t[b]];0===t[l].y.cmp(t[b].y)?(p[1]=t[l].add(t[b]),p[2]=t[l].toJ().mixedAdd(t[b].neg())):0===t[l].y.cmp(t[b].y.redNeg())?(p[1]=t[l].toJ().mixedAdd(t[b]),p[2]=t[l].add(t[b].neg())):(p[1]=t[l].toJ().mixedAdd(t[b]),p[2]=t[l].toJ().mixedAdd(t[b].neg()));var m=[-3,-1,-5,-7,0,7,5,1,3],g=o(r[l],r[b]);d=Math.max(g[0].length,d),c[l]=new Array(d),c[b]=new Array(d);for(var v=0;v<d;v++){var y=0|g[0][v],w=0|g[1][v];c[l][v]=m[3*(y+1)+(w+1)],c[b][v]=0,f[l]=p}}else c[l]=a(r[l],s[l],this._bitLength),c[b]=a(r[b],s[b],this._bitLength),d=Math.max(c[l].length,d),d=Math.max(c[b].length,d)}var _=this.jpoint(null,null,null),M=this._wnafT4;for(u=d;u>=0;u--){for(var S=0;u>=0;){var k=!0;for(v=0;v<i;v++)M[v]=0|c[v][u],0!==M[v]&&(k=!1);if(!k)break;S++,u--}if(u>=0&&S++,_=_.dblp(S),u<0)break;for(v=0;v<i;v++){var E,x=M[v];0!==x&&(x>0?E=f[v][x-1>>1]:x<0&&(E=f[v][-x-1>>1].neg()),_="affine"===E.type?_.mixedAdd(E):_.add(E))}}for(u=0;u<i;u++)f[u]=null;return n?_:_.toP()},f.BasePoint=c,c.prototype.eq=function(){throw new Error("Not implemented")},c.prototype.validate=function(){return this.curve.validate(this)},f.prototype.decodePoint=function(e,t){e=n.toArray(e,t);var r=this.p.byteLength();if((4===e[0]||6===e[0]||7===e[0])&&e.length-1==2*r)return 6===e[0]?s(e[e.length-1]%2==0):7===e[0]&&s(e[e.length-1]%2==1),this.point(e.slice(1,1+r),e.slice(1+r,1+2*r));if((2===e[0]||3===e[0])&&e.length-1===r)return this.pointFromX(e.slice(1,1+r),3===e[0]);throw new Error("Unknown point format")},c.prototype.encodeCompressed=function(e){return this.encode(e,!0)},c.prototype._encode=function(e){var t=this.curve.p.byteLength(),r=this.getX().toArray("be",t);return e?[this.getY().isEven()?2:3].concat(r):[4].concat(r,this.getY().toArray("be",t))},c.prototype.encode=function(e,t){return n.encode(this._encode(t),e)},c.prototype.precompute=function(e){if(this.precomputed)return this;var t={doubles:null,naf:null,beta:null};return t.naf=this._getNAFPoints(8),t.doubles=this._getDoubles(4,e),t.beta=this._getBeta(),this.precomputed=t,this},c.prototype._hasDoubles=function(e){if(!this.precomputed)return!1;var t=this.precomputed.doubles;return!!t&&t.points.length>=Math.ceil((e.bitLength()+1)/t.step)},c.prototype._getDoubles=function(e,t){if(this.precomputed&&this.precomputed.doubles)return this.precomputed.doubles;for(var r=[this],i=this,n=0;n<t;n+=e){for(var a=0;a<e;a++)i=i.dbl();r.push(i)}return{step:e,points:r}},c.prototype._getNAFPoints=function(e){if(this.precomputed&&this.precomputed.naf)return this.precomputed.naf;for(var t=[this],r=(1<<e)-1,i=1===r?null:this.dbl(),n=1;n<r;n++)t[n]=t[n-1].add(i);return{wnd:e,points:t}},c.prototype._getBeta=function(){return null},c.prototype.dblp=function(e){for(var t=this,r=0;r<e;r++)t=t.dbl();return t}},function(e,t,r){var i=r(203),n=r(210),a=r(211),o=r(43),s=r(41),f=r(1).Buffer;function c(e){var t;"object"!=typeof e||f.isBuffer(e)||(t=e.passphrase,e=e.key),"string"==typeof e&&(e=f.from(e));var r,c,d=a(e,t),u=d.tag,h=d.data;switch(u){case"CERTIFICATE":c=i.certificate.decode(h,"der").tbsCertificate.subjectPublicKeyInfo;case"PUBLIC KEY":switch(c||(c=i.PublicKey.decode(h,"der")),r=c.algorithm.algorithm.join(".")){case"1.2.840.113549.1.1.1":return i.RSAPublicKey.decode(c.subjectPublicKey.data,"der");case"1.2.840.10045.2.1":return c.subjectPrivateKey=c.subjectPublicKey,{type:"ec",data:c};case"1.2.840.10040.4.1":return c.algorithm.params.pub_key=i.DSAparam.decode(c.subjectPublicKey.data,"der"),{type:"dsa",data:c.algorithm.params};default:throw new Error("unknown key id "+r)}case"ENCRYPTED PRIVATE KEY":h=function(e,t){var r=e.algorithm.decrypt.kde.kdeparams.salt,i=parseInt(e.algorithm.decrypt.kde.kdeparams.iters.toString(),10),a=n[e.algorithm.decrypt.cipher.algo.join(".")],c=e.algorithm.decrypt.cipher.iv,d=e.subjectPrivateKey,u=parseInt(a.split("-")[1],10)/8,h=s.pbkdf2Sync(t,r,i,u,"sha1"),l=o.createDecipheriv(a,h,c),b=[];return b.push(l.update(d)),b.push(l.final()),f.concat(b)}(h=i.EncryptedPrivateKey.decode(h,"der"),t);case"PRIVATE KEY":switch(r=(c=i.PrivateKey.decode(h,"der")).algorithm.algorithm.join(".")){case"1.2.840.113549.1.1.1":return i.RSAPrivateKey.decode(c.subjectPrivateKey,"der");case"1.2.840.10045.2.1":return{curve:c.algorithm.curve,privateKey:i.ECPrivateKey.decode(c.subjectPrivateKey,"der").privateKey};case"1.2.840.10040.4.1":return c.algorithm.params.priv_key=i.DSAparam.decode(c.subjectPrivateKey,"der"),{type:"dsa",params:c.algorithm.params};default:throw new Error("unknown key id "+r)}case"RSA PUBLIC KEY":return i.RSAPublicKey.decode(h,"der");case"RSA PRIVATE KEY":return i.RSAPrivateKey.decode(h,"der");case"DSA PRIVATE KEY":return{type:"dsa",params:i.DSAPrivateKey.decode(h,"der")};case"EC PRIVATE KEY":return{curve:(h=i.ECPrivateKey.decode(h,"der")).parameters.value,privateKey:h.privateKey};default:throw new Error("unknown key type "+u)}}e.exports=c,c.signature=i.signature},function(e,t,r){"use strict";var i=r(0),n=r(59),a=r(1).Buffer,o=new Array(16);function s(){n.call(this,64),this._a=1732584193,this._b=4023233417,this._c=2562383102,this._d=271733878}function f(e,t){return e<<t|e>>>32-t}function c(e,t,r,i,n,a,o){return f(e+(t&r|~t&i)+n+a|0,o)+t|0}function d(e,t,r,i,n,a,o){return f(e+(t&i|r&~i)+n+a|0,o)+t|0}function u(e,t,r,i,n,a,o){return f(e+(t^r^i)+n+a|0,o)+t|0}function h(e,t,r,i,n,a,o){return f(e+(r^(t|~i))+n+a|0,o)+t|0}i(s,n),s.prototype._update=function(){for(var e=o,t=0;t<16;++t)e[t]=this._block.readInt32LE(4*t);var r=this._a,i=this._b,n=this._c,a=this._d;r=c(r,i,n,a,e[0],3614090360,7),a=c(a,r,i,n,e[1],3905402710,12),n=c(n,a,r,i,e[2],606105819,17),i=c(i,n,a,r,e[3],3250441966,22),r=c(r,i,n,a,e[4],4118548399,7),a=c(a,r,i,n,e[5],1200080426,12),n=c(n,a,r,i,e[6],2821735955,17),i=c(i,n,a,r,e[7],4249261313,22),r=c(r,i,n,a,e[8],1770035416,7),a=c(a,r,i,n,e[9],2336552879,12),n=c(n,a,r,i,e[10],4294925233,17),i=c(i,n,a,r,e[11],2304563134,22),r=c(r,i,n,a,e[12],1804603682,7),a=c(a,r,i,n,e[13],4254626195,12),n=c(n,a,r,i,e[14],2792965006,17),r=d(r,i=c(i,n,a,r,e[15],1236535329,22),n,a,e[1],4129170786,5),a=d(a,r,i,n,e[6],3225465664,9),n=d(n,a,r,i,e[11],643717713,14),i=d(i,n,a,r,e[0],3921069994,20),r=d(r,i,n,a,e[5],3593408605,5),a=d(a,r,i,n,e[10],38016083,9),n=d(n,a,r,i,e[15],3634488961,14),i=d(i,n,a,r,e[4],3889429448,20),r=d(r,i,n,a,e[9],568446438,5),a=d(a,r,i,n,e[14],3275163606,9),n=d(n,a,r,i,e[3],4107603335,14),i=d(i,n,a,r,e[8],1163531501,20),r=d(r,i,n,a,e[13],2850285829,5),a=d(a,r,i,n,e[2],4243563512,9),n=d(n,a,r,i,e[7],1735328473,14),r=u(r,i=d(i,n,a,r,e[12],2368359562,20),n,a,e[5],4294588738,4),a=u(a,r,i,n,e[8],2272392833,11),n=u(n,a,r,i,e[11],1839030562,16),i=u(i,n,a,r,e[14],4259657740,23),r=u(r,i,n,a,e[1],2763975236,4),a=u(a,r,i,n,e[4],1272893353,11),n=u(n,a,r,i,e[7],4139469664,16),i=u(i,n,a,r,e[10],3200236656,23),r=u(r,i,n,a,e[13],681279174,4),a=u(a,r,i,n,e[0],3936430074,11),n=u(n,a,r,i,e[3],3572445317,16),i=u(i,n,a,r,e[6],76029189,23),r=u(r,i,n,a,e[9],3654602809,4),a=u(a,r,i,n,e[12],3873151461,11),n=u(n,a,r,i,e[15],530742520,16),r=h(r,i=u(i,n,a,r,e[2],3299628645,23),n,a,e[0],4096336452,6),a=h(a,r,i,n,e[7],1126891415,10),n=h(n,a,r,i,e[14],2878612391,15),i=h(i,n,a,r,e[5],4237533241,21),r=h(r,i,n,a,e[12],1700485571,6),a=h(a,r,i,n,e[3],2399980690,10),n=h(n,a,r,i,e[10],4293915773,15),i=h(i,n,a,r,e[1],2240044497,21),r=h(r,i,n,a,e[8],1873313359,6),a=h(a,r,i,n,e[15],4264355552,10),n=h(n,a,r,i,e[6],2734768916,15),i=h(i,n,a,r,e[13],1309151649,21),r=h(r,i,n,a,e[4],4149444226,6),a=h(a,r,i,n,e[11],3174756917,10),n=h(n,a,r,i,e[2],718787259,15),i=h(i,n,a,r,e[9],3951481745,21),this._a=this._a+r|0,this._b=this._b+i|0,this._c=this._c+n|0,this._d=this._d+a|0},s.prototype._digest=function(){this._block[this._blockOffset++]=128,this._blockOffset>56&&(this._block.fill(0,this._blockOffset,64),this._update(),this._blockOffset=0),this._block.fill(0,this._blockOffset,56),this._block.writeUInt32LE(this._length[0],56),this._block.writeUInt32LE(this._length[1],60),this._update();var e=a.allocUnsafe(16);return e.writeInt32LE(this._a,0),e.writeInt32LE(this._b,4),e.writeInt32LE(this._c,8),e.writeInt32LE(this._d,12),e},e.exports=s},function(e,t,r){(function(t){function r(e){try{if(!t.localStorage)return!1}catch(e){return!1}var r=t.localStorage[e];return null!=r&&"true"===String(r).toLowerCase()}e.exports=function(e,t){if(r("noDeprecation"))return e;var i=!1;return function(){if(!i){if(r("throwDeprecation"))throw new Error(t);r("traceDeprecation")?console.trace(t):console.warn(t),i=!0}return e.apply(this,arguments)}}}).call(this,r(5))},function(e,t,r){"use strict";var i=r(16).codes.ERR_STREAM_PREMATURE_CLOSE;function n(){}e.exports=function e(t,r,a){if("function"==typeof r)return e(t,null,r);r||(r={}),a=function(e){var t=!1;return function(){if(!t){t=!0;for(var r=arguments.length,i=new Array(r),n=0;n<r;n++)i[n]=arguments[n];e.apply(this,i)}}}(a||n);var 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r=Math.pow(2,30)-1;e.exports=function(e,t){if("number"!=typeof e)throw new TypeError("Iterations not a number");if(e<0)throw new TypeError("Bad iterations");if("number"!=typeof t)throw new TypeError("Key length not a number");if(t<0||t>r||t!=t)throw new TypeError("Bad key length")}},function(e,t,r){(function(t){var r;if(t.browser)r="utf-8";else if(t.version){r=parseInt(t.version.split(".")[0].slice(1),10)>=6?"utf-8":"binary"}else r="utf-8";e.exports=r}).call(this,r(3))},function(e,t,r){var i=r(72),n=r(36),a=r(37),o=r(1).Buffer,s=r(74),f=r(75),c=r(77),d=o.alloc(128),u={md5:16,sha1:20,sha224:28,sha256:32,sha384:48,sha512:64,rmd160:20,ripemd160:20};function h(e,t,r){var s=function(e){function t(t){return a(e).update(t).digest()}return"rmd160"===e||"ripemd160"===e?function(e){return(new n).update(e).digest()}:"md5"===e?i:t}(e),f="sha512"===e||"sha384"===e?128:64;t.length>f?t=s(t):t.length<f&&(t=o.concat([t,d],f));for(var c=o.allocUnsafe(f+u[e]),h=o.allocUnsafe(f+u[e]),l=0;l<f;l++)c[l]=54^t[l],h[l]=92^t[l];var b=o.allocUnsafe(f+r+4);c.copy(b,0,0,f),this.ipad1=b,this.ipad2=c,this.opad=h,this.alg=e,this.blocksize=f,this.hash=s,this.size=u[e]}h.prototype.run=function(e,t){return e.copy(t,this.blocksize),this.hash(t).copy(this.opad,this.blocksize),this.hash(this.opad)},e.exports=function(e,t,r,i,n){s(r,i);var a=new h(n=n||"sha1",e=c(e,f,"Password"),(t=c(t,f,"Salt")).length),d=o.allocUnsafe(i),l=o.allocUnsafe(t.length+4);t.copy(l,0,0,t.length);for(var b=0,p=u[n],m=Math.ceil(i/p),g=1;g<=m;g++){l.writeUInt32BE(g,t.length);for(var v=a.run(l,a.ipad1),y=v,w=1;w<r;w++){y=a.run(y,a.ipad2);for(var _=0;_<p;_++)v[_]^=y[_]}v.copy(d,b),b+=p}return d}},function(e,t,r){var i=r(1).Buffer;e.exports=function(e,t,r){if(i.isBuffer(e))return e;if("string"==typeof e)return i.from(e,t);if(ArrayBuffer.isView(e))return i.from(e.buffer);throw new TypeError(r+" must be a string, a Buffer, a typed array or a 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s=0;s<=24;s+=8)n<<=1,n|=t>>s+o&1;for(s=0;s<=24;s+=8)n<<=1,n|=e>>s+o&1}for(s=0;s<=24;s+=8)n<<=1,n|=t>>s+o&1;for(o=1;o<=3;o++){for(s=0;s<=24;s+=8)a<<=1,a|=t>>s+o&1;for(s=0;s<=24;s+=8)a<<=1,a|=e>>s+o&1}for(s=0;s<=24;s+=8)a<<=1,a|=e>>s+o&1;r[i+0]=n>>>0,r[i+1]=a>>>0},t.r28shl=function(e,t){return e<<t&268435455|e>>>28-t};var i=[14,11,17,4,27,23,25,0,13,22,7,18,5,9,16,24,2,20,12,21,1,8,15,26,15,4,25,19,9,1,26,16,5,11,23,8,12,7,17,0,22,3,10,14,6,20,27,24];t.pc2=function(e,t,r,n){for(var a=0,o=0,s=i.length>>>1,f=0;f<s;f++)a<<=1,a|=e>>>i[f]&1;for(f=s;f<i.length;f++)o<<=1,o|=t>>>i[f]&1;r[n+0]=a>>>0,r[n+1]=o>>>0},t.expand=function(e,t,r){var i=0,n=0;i=(1&e)<<5|e>>>27;for(var a=23;a>=15;a-=4)i<<=6,i|=e>>>a&63;for(a=11;a>=3;a-=4)n|=e>>>a&63,n<<=6;n|=(31&e)<<1|e>>>31,t[r+0]=i>>>0,t[r+1]=n>>>0};var n=[14,0,4,15,13,7,1,4,2,14,15,2,11,13,8,1,3,10,10,6,6,12,12,11,5,9,9,5,0,3,7,8,4,15,1,12,14,8,8,2,13,4,6,9,2,1,11,7,15,5,12,11,9,3,7,14,3,10,10,0,5,6,0,13,15,3,1,13,8,4,14,7,6,15,11,2,3,8,4,14,9,12,7,0,2,1,13,10,12,6,0,9,5,11,10,5,0,13,14,8,7,10,11,1,10,3,4,15,13,4,1,2,5,11,8,6,12,7,6,12,9,0,3,5,2,14,15,9,10,13,0,7,9,0,14,9,6,3,3,4,15,6,5,10,1,2,13,8,12,5,7,14,11,12,4,11,2,15,8,1,13,1,6,10,4,13,9,0,8,6,15,9,3,8,0,7,11,4,1,15,2,14,12,3,5,11,10,5,14,2,7,12,7,13,13,8,14,11,3,5,0,6,6,15,9,0,10,3,1,4,2,7,8,2,5,12,11,1,12,10,4,14,15,9,10,3,6,15,9,0,0,6,12,10,11,1,7,13,13,8,15,9,1,4,3,5,14,11,5,12,2,7,8,2,4,14,2,14,12,11,4,2,1,12,7,4,10,7,11,13,6,1,8,5,5,0,3,15,15,10,13,3,0,9,14,8,9,6,4,11,2,8,1,12,11,7,10,1,13,14,7,2,8,13,15,6,9,15,12,0,5,9,6,10,3,4,0,5,14,3,12,10,1,15,10,4,15,2,9,7,2,12,6,9,8,5,0,6,13,1,3,13,4,14,14,0,7,11,5,3,11,8,9,4,14,3,15,2,5,12,2,9,8,5,12,15,3,10,7,11,0,14,4,1,10,7,1,6,13,0,11,8,6,13,4,13,11,0,2,11,14,7,15,4,0,9,8,1,13,10,3,14,12,3,9,5,7,12,5,2,10,15,6,8,1,6,1,6,4,11,11,13,13,8,12,1,3,4,7,10,14,7,10,9,15,5,6,0,8,15,0,14,5,2,9,3,2,12,13,1,2,15,8,13,4,8,6,10,15,3,11,7,1,4,10,12,9,5,3,6,14,11,5,0,0,14,12,9,7,2,7,2,11,1,4,14,1,7,9,4,12,10,14,8,2,13,0,15,6,12,10,9,13,0,15,3,3,5,5,6,8,11];t.substitute=function(e,t){for(var r=0,i=0;i<4;i++){r<<=4,r|=n[64*i+(e>>>18-6*i&63)]}for(i=0;i<4;i++){r<<=4,r|=n[256+64*i+(t>>>18-6*i&63)]}return r>>>0};var a=[16,25,12,11,3,20,4,15,31,17,9,6,27,14,1,22,30,24,8,18,0,5,29,23,13,19,2,26,10,21,28,7];t.permute=function(e){for(var t=0,r=0;r<a.length;r++)t<<=1,t|=e>>>a[r]&1;return t>>>0},t.padSplit=function(e,t,r){for(var i=e.toString(2);i.length<t;)i="0"+i;for(var n=[],a=0;a<t;a+=r)n.push(i.slice(a,a+r));return n.join(" ")}},function(e,t,r){"use strict";var i=r(6),n=r(0),a=r(78),o=r(42);function s(){this.tmp=new Array(2),this.keys=null}function f(e){o.call(this,e);var t=new s;this._desState=t,this.deriveKeys(t,e.key)}n(f,o),e.exports=f,f.create=function(e){return new f(e)};var c=[1,1,2,2,2,2,2,2,1,2,2,2,2,2,2,1];f.prototype.deriveKeys=function(e,t){e.keys=new Array(32),i.equal(t.length,this.blockSize,"Invalid key length");var r=a.readUInt32BE(t,0),n=a.readUInt32BE(t,4);a.pc1(r,n,e.tmp,0),r=e.tmp[0],n=e.tmp[1];for(var o=0;o<e.keys.length;o+=2){var s=c[o>>>1];r=a.r28shl(r,s),n=a.r28shl(n,s),a.pc2(r,n,e.keys,o)}},f.prototype._update=function(e,t,r,i){var n=this._desState,o=a.readUInt32BE(e,t),s=a.readUInt32BE(e,t+4);a.ip(o,s,n.tmp,0),o=n.tmp[0],s=n.tmp[1],"encrypt"===this.type?this._encrypt(n,o,s,n.tmp,0):this._decrypt(n,o,s,n.tmp,0),o=n.tmp[0],s=n.tmp[1],a.writeUInt32BE(r,o,i),a.writeUInt32BE(r,s,i+4)},f.prototype._pad=function(e,t){for(var r=e.length-t,i=t;i<e.length;i++)e[i]=r;return!0},f.prototype._unpad=function(e){for(var t=e[e.length-1],r=e.length-t;r<e.length;r++)i.equal(e[r],t);return e.slice(0,e.length-t)},f.prototype._encrypt=function(e,t,r,i,n){for(var o=t,s=r,f=0;f<e.keys.length;f+=2){var c=e.keys[f],d=e.keys[f+1];a.expand(s,e.tmp,0),c^=e.tmp[0],d^=e.tmp[1];var u=a.substitute(c,d),h=s;s=(o^a.permute(u))>>>0,o=h}a.rip(s,o,i,n)},f.prototype._decrypt=function(e,t,r,i,n){for(var o=r,s=t,f=e.keys.length-2;f>=0;f-=2){var c=e.keys[f],d=e.keys[f+1];a.expand(o,e.tmp,0),c^=e.tmp[0],d^=e.tmp[1];var u=a.substitute(c,d),h=o;o=(s^a.permute(u))>>>0,s=h}a.rip(o,s,i,n)}},function(e,t,r){var i=r(23),n=r(1).Buffer,a=r(81);function o(e){var t=e._cipher.encryptBlockRaw(e._prev);return a(e._prev),t}t.encrypt=function(e,t){var r=Math.ceil(t.length/16),a=e._cache.length;e._cache=n.concat([e._cache,n.allocUnsafe(16*r)]);for(var s=0;s<r;s++){var f=o(e),c=a+16*s;e._cache.writeUInt32BE(f[0],c+0),e._cache.writeUInt32BE(f[1],c+4),e._cache.writeUInt32BE(f[2],c+8),e._cache.writeUInt32BE(f[3],c+12)}var d=e._cache.slice(0,t.length);return e._cache=e._cache.slice(t.length),i(t,d)}},function(e,t){e.exports=function(e){for(var t,r=e.length;r--;){if(255!==(t=e.readUInt8(r))){t++,e.writeUInt8(t,r);break}e.writeUInt8(0,r)}}},function(e){e.exports=JSON.parse('{"aes-128-ecb":{"cipher":"AES","key":128,"iv":0,"mode":"ECB","type":"block"},"aes-192-ecb":{"cipher":"AES","key":192,"iv":0,"mode":"ECB","type":"block"},"aes-256-ecb":{"cipher":"AES","key":256,"iv":0,"mode":"ECB","type":"block"},"aes-128-cbc":{"cipher":"AES","key":128,"iv":16,"mode":"CBC","type":"block"},"aes-192-cbc":{"cipher":"AES","key":192,"iv":16,"mode":"CBC","type":"block"},"aes-256-cbc":{"cipher":"AES","key":256,"iv":16,"mode":"CBC","type":"block"},"aes128":{"cipher":"AES","key":128,"iv":16,"mode":"CBC","type":"block"},"aes192":{"cipher":"AES","key":192,"iv":16,"mode":"CBC","type":"block"},"aes256":{"cipher":"AES","key":256,"iv":16,"mode":"CBC","type":"block"},"aes-128-cfb":{"cipher":"AES","key":128,"iv":16,"mode":"CFB","type":"stream"},"aes-192-cfb":{"cipher":"AES","key":192,"iv":16,"mode":"CFB","type":"stream"},"aes-256-cfb":{"cipher":"AES","key":256,"iv":16,"mode":"CFB","type":"stream"},"aes-128-cfb8":{"cipher":"AES","key":128,"iv":16,"mode":"CFB8","type":"stream"},"aes-192-cfb8":{"cipher":"AES","key":192,"iv":16,"mode":"CFB8","type":"stream"},"aes-256-cfb8":{"cipher":"AES","key":256,"iv":16,"mode":"CFB8","type":"stream"},"aes-128-cfb1":{"cipher":"AES","key":128,"iv":16,"mode":"CFB1","type":"stream"},"aes-192-cfb1":{"cipher":"AES","key":192,"iv":16,"mode":"CFB1","type":"stream"},"aes-256-cfb1":{"cipher":"AES","key":256,"iv":16,"mode":"CFB1","type":"stream"},"aes-128-ofb":{"cipher":"AES","key":128,"iv":16,"mode":"OFB","type":"stream"},"aes-192-ofb":{"cipher":"AES","key":192,"iv":16,"mode":"OFB","type":"stream"},"aes-256-ofb":{"cipher":"AES","key":256,"iv":16,"mode":"OFB","type":"stream"},"aes-128-ctr":{"cipher":"AES","key":128,"iv":16,"mode":"CTR","type":"stream"},"aes-192-ctr":{"cipher":"AES","key":192,"iv":16,"mode":"CTR","type":"stream"},"aes-256-ctr":{"cipher":"AES","key":256,"iv":16,"mode":"CTR","type":"stream"},"aes-128-gcm":{"cipher":"AES","key":128,"iv":12,"mode":"GCM","type":"auth"},"aes-192-gcm":{"cipher":"AES","key":192,"iv":12,"mode":"GCM","type":"auth"},"aes-256-gcm":{"cipher":"AES","key":256,"iv":12,"mode":"GCM","type":"auth"}}')},function(e,t,r){var i=r(28),n=r(1).Buffer,a=r(12),o=r(0),s=r(164),f=r(23),c=r(81);function d(e,t,r,o){a.call(this);var f=n.alloc(4,0);this._cipher=new i.AES(t);var d=this._cipher.encryptBlock(f);this._ghash=new s(d),r=function(e,t,r){if(12===t.length)return e._finID=n.concat([t,n.from([0,0,0,1])]),n.concat([t,n.from([0,0,0,2])]);var i=new s(r),a=t.length,o=a%16;i.update(t),o&&(o=16-o,i.update(n.alloc(o,0))),i.update(n.alloc(8,0));var f=8*a,d=n.alloc(8);d.writeUIntBE(f,0,8),i.update(d),e._finID=i.state;var u=n.from(e._finID);return c(u),u}(this,r,d),this._prev=n.from(r),this._cache=n.allocUnsafe(0),this._secCache=n.allocUnsafe(0),this._decrypt=o,this._alen=0,this._len=0,this._mode=e,this._authTag=null,this._called=!1}o(d,a),d.prototype._update=function(e){if(!this._called&&this._alen){var t=16-this._alen%16;t<16&&(t=n.alloc(t,0),this._ghash.update(t))}this._called=!0;var r=this._mode.encrypt(this,e);return this._decrypt?this._ghash.update(e):this._ghash.update(r),this._len+=e.length,r},d.prototype._final=function(){if(this._decrypt&&!this._authTag)throw new Error("Unsupported state or unable to authenticate data");var e=f(this._ghash.final(8*this._alen,8*this._len),this._cipher.encryptBlock(this._finID));if(this._decrypt&&function(e,t){var r=0;e.length!==t.length&&r++;for(var i=Math.min(e.length,t.length),n=0;n<i;++n)r+=e[n]^t[n];return r}(e,this._authTag))throw new Error("Unsupported state or unable to authenticate data");this._authTag=e,this._cipher.scrub()},d.prototype.getAuthTag=function(){if(this._decrypt||!n.isBuffer(this._authTag))throw new Error("Attempting to get auth tag in unsupported state");return this._authTag},d.prototype.setAuthTag=function(e){if(!this._decrypt)throw new Error("Attempting to set auth tag in unsupported state");this._authTag=e},d.prototype.setAAD=function(e){if(this._called)throw new Error("Attempting to set AAD in unsupported 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u=this._randrange(new i(2),s);r&&r(u);var h=u.toRed(a).redPow(c);if(0!==h.cmp(o)&&0!==h.cmp(d)){for(var l=1;l<f;l++){if(0===(h=h.redSqr()).cmp(o))return!1;if(0===h.cmp(d))break}if(l===f)return!1}}return!0},a.prototype.getDivisor=function(e,t){var r=e.bitLength(),n=i.mont(e),a=new i(1).toRed(n);t||(t=Math.max(1,r/48|0));for(var o=e.subn(1),s=0;!o.testn(s);s++);for(var f=e.shrn(s),c=o.toRed(n);t>0;t--){var d=this._randrange(new i(2),o),u=e.gcd(d);if(0!==u.cmpn(1))return u;var h=d.toRed(n).redPow(f);if(0!==h.cmp(a)&&0!==h.cmp(c)){for(var l=1;l<s;l++){if(0===(h=h.redSqr()).cmp(a))return h.fromRed().subn(1).gcd(e);if(0===h.cmp(c))break}if(l===s)return(h=h.redSqr()).fromRed().subn(1).gcd(e)}}return!1}},function(e,t,r){"use strict";(function(t,i){var n;e.exports=E,E.ReadableState=k;r(13).EventEmitter;var a=function(e,t){return e.listeners(t).length},o=r(88),s=r(2).Buffer,f=t.Uint8Array||function(){};var c,d=r(174);c=d&&d.debuglog?d.debuglog("stream"):function(){};var 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b,this.length=0,this.pipes=null,this.pipesCount=0,this.flowing=null,this.ended=!1,this.endEmitted=!1,this.reading=!1,this.sync=!0,this.needReadable=!1,this.emittedReadable=!1,this.readableListening=!1,this.resumeScheduled=!1,this.paused=!0,this.emitClose=!1!==e.emitClose,this.autoDestroy=!!e.autoDestroy,this.destroyed=!1,this.defaultEncoding=e.defaultEncoding||"utf8",this.awaitDrain=0,this.readingMore=!1,this.decoder=null,this.encoding=null,e.encoding&&(u||(u=r(14).StringDecoder),this.decoder=new u(e.encoding),this.encoding=e.encoding)}function E(e){if(n=n||r(20),!(this instanceof E))return new E(e);var t=this instanceof n;this._readableState=new k(e,this,t),this.readable=!0,e&&("function"==typeof e.read&&(this._read=e.read),"function"==typeof e.destroy&&(this._destroy=e.destroy)),o.call(this)}function x(e,t,r,i,n){c("readableAddChunk",t);var a,o=e._readableState;if(null===t)o.reading=!1,function(e,t){if(c("onEofChunk"),t.ended)return;if(t.decoder){var r=t.decoder.end();r&&r.length&&(t.buffer.push(r),t.length+=t.objectMode?1:r.length)}t.ended=!0,t.sync?I(e):(t.needReadable=!1,t.emittedReadable||(t.emittedReadable=!0,q(e)))}(e,o);else if(n||(a=function(e,t){var r;i=t,s.isBuffer(i)||i instanceof f||"string"==typeof t||void 0===t||e.objectMode||(r=new v("chunk",["string","Buffer","Uint8Array"],t));var i;return r}(o,t)),a)M(e,a);else if(o.objectMode||t&&t.length>0)if("string"==typeof t||o.objectMode||Object.getPrototypeOf(t)===s.prototype||(t=function(e){return s.from(e)}(t)),i)o.endEmitted?M(e,new _):z(e,o,t,!0);else if(o.ended)M(e,new y);else{if(o.destroyed)return!1;o.reading=!1,o.decoder&&!r?(t=o.decoder.write(t),o.objectMode||0!==t.length?z(e,o,t,!1):R(e,o)):z(e,o,t,!1)}else i||(o.reading=!1,R(e,o));return!o.ended&&(o.length<o.highWaterMark||0===o.length)}function z(e,t,r,i){t.flowing&&0===t.length&&!t.sync?(t.awaitDrain=0,e.emit("data",r)):(t.length+=t.objectMode?1:r.length,i?t.buffer.unshift(r):t.buffer.push(r),t.needReadable&&I(e)),R(e,t)}Object.defineProperty(E.prototype,"destroyed",{enumerable:!1,get:function(){return void 0!==this._readableState&&this._readableState.destroyed},set:function(e){this._readableState&&(this._readableState.destroyed=e)}}),E.prototype.destroy=p.destroy,E.prototype._undestroy=p.undestroy,E.prototype._destroy=function(e,t){t(e)},E.prototype.push=function(e,t){var r,i=this._readableState;return i.objectMode?r=!0:"string"==typeof e&&((t=t||i.defaultEncoding)!==i.encoding&&(e=s.from(e,t),t=""),r=!0),x(this,e,t,!1,r)},E.prototype.unshift=function(e){return x(this,e,null,!0,!1)},E.prototype.isPaused=function(){return!1===this._readableState.flowing},E.prototype.setEncoding=function(e){u||(u=r(14).StringDecoder);var t=new u(e);this._readableState.decoder=t,this._readableState.encoding=this._readableState.decoder.encoding;for(var i=this._readableState.buffer.head,n="";null!==i;)n+=t.write(i.data),i=i.next;return this._readableState.buffer.clear(),""!==n&&this._readableState.buffer.push(n),this._readableState.length=n.length,this};function A(e,t){return e<=0||0===t.length&&t.ended?0:t.objectMode?1:e!=e?t.flowing&&t.length?t.buffer.head.data.length:t.length:(e>t.highWaterMark&&(t.highWaterMark=function(e){return e>=1073741824?e=1073741824:(e--,e|=e>>>1,e|=e>>>2,e|=e>>>4,e|=e>>>8,e|=e>>>16,e++),e}(e)),e<=t.length?e:t.ended?t.length:(t.needReadable=!0,0))}function I(e){var t=e._readableState;c("emitReadable",t.needReadable,t.emittedReadable),t.needReadable=!1,t.emittedReadable||(c("emitReadable",t.flowing),t.emittedReadable=!0,i.nextTick(q,e))}function q(e){var t=e._readableState;c("emitReadable_",t.destroyed,t.length,t.ended),t.destroyed||!t.length&&!t.ended||(e.emit("readable"),t.emittedReadable=!1),t.needReadable=!t.flowing&&!t.ended&&t.length<=t.highWaterMark,T(e)}function R(e,t){t.readingMore||(t.readingMore=!0,i.nextTick(j,e,t))}function j(e,t){for(;!t.reading&&!t.ended&&(t.length<t.highWaterMark||t.flowing&&0===t.length);){var r=t.length;if(c("maybeReadMore read 0"),e.read(0),r===t.length)break}t.readingMore=!1}function B(e){var t=e._readableState;t.readableListening=e.listenerCount("readable")>0,t.resumeScheduled&&!t.paused?t.flowing=!0:e.listenerCount("data")>0&&e.resume()}function N(e){c("readable nexttick read 0"),e.read(0)}function O(e,t){c("resume",t.reading),t.reading||e.read(0),t.resumeScheduled=!1,e.emit("resume"),T(e),t.flowing&&!t.reading&&e.read(0)}function T(e){var t=e._readableState;for(c("flow",t.flowing);t.flowing&&null!==e.read(););}function P(e,t){return 0===t.length?null:(t.objectMode?r=t.buffer.shift():!e||e>=t.length?(r=t.decoder?t.buffer.join(""):1===t.buffer.length?t.buffer.first():t.buffer.concat(t.length),t.buffer.clear()):r=t.buffer.consume(e,t.decoder),r);var r}function L(e){var t=e._readableState;c("endReadable",t.endEmitted),t.endEmitted||(t.ended=!0,i.nextTick(D,t,e))}function D(e,t){if(c("endReadableNT",e.endEmitted,e.length),!e.endEmitted&&0===e.length&&(e.endEmitted=!0,t.readable=!1,t.emit("end"),e.autoDestroy)){var r=t._writableState;(!r||r.autoDestroy&&r.finished)&&t.destroy()}}function C(e,t){for(var r=0,i=e.length;r<i;r++)if(e[r]===t)return r;return-1}E.prototype.read=function(e){c("read",e),e=parseInt(e,10);var t=this._readableState,r=e;if(0!==e&&(t.emittedReadable=!1),0===e&&t.needReadable&&((0!==t.highWaterMark?t.length>=t.highWaterMark:t.length>0)||t.ended))return c("read: emitReadable",t.length,t.ended),0===t.length&&t.ended?L(this):I(this),null;if(0===(e=A(e,t))&&t.ended)return 0===t.length&&L(this),null;var i,n=t.needReadable;return c("need readable",n),(0===t.length||t.length-e<t.highWaterMark)&&c("length less than watermark",n=!0),t.ended||t.reading?c("reading or ended",n=!1):n&&(c("do read"),t.reading=!0,t.sync=!0,0===t.length&&(t.needReadable=!0),this._read(t.highWaterMark),t.sync=!1,t.reading||(e=A(r,t))),null===(i=e>0?P(e,t):null)?(t.needReadable=t.length<=t.highWaterMark,e=0):(t.length-=e,t.awaitDrain=0),0===t.length&&(t.ended||(t.needReadable=!0),r!==e&&t.ended&&L(this)),null!==i&&this.emit("data",i),i},E.prototype._read=function(e){M(this,new w("_read()"))},E.prototype.pipe=function(e,t){var r=this,n=this._readableState;switch(n.pipesCount){case 0:n.pipes=e;break;case 1:n.pipes=[n.pipes,e];break;default:n.pipes.push(e)}n.pipesCount+=1,c("pipe count=%d opts=%j",n.pipesCount,t);var o=(!t||!1!==t.end)&&e!==i.stdout&&e!==i.stderr?f:m;function 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o=C(t.pipes,e);return-1===o||(t.pipes.splice(o,1),t.pipesCount-=1,1===t.pipesCount&&(t.pipes=t.pipes[0]),e.emit("unpipe",this,r)),this},E.prototype.on=function(e,t){var r=o.prototype.on.call(this,e,t),n=this._readableState;return"data"===e?(n.readableListening=this.listenerCount("readable")>0,!1!==n.flowing&&this.resume()):"readable"===e&&(n.endEmitted||n.readableListening||(n.readableListening=n.needReadable=!0,n.flowing=!1,n.emittedReadable=!1,c("on readable",n.length,n.reading),n.length?I(this):n.reading||i.nextTick(N,this))),r},E.prototype.addListener=E.prototype.on,E.prototype.removeListener=function(e,t){var r=o.prototype.removeListener.call(this,e,t);return"readable"===e&&i.nextTick(B,this),r},E.prototype.removeAllListeners=function(e){var t=o.prototype.removeAllListeners.apply(this,arguments);return"readable"!==e&&void 0!==e||i.nextTick(B,this),t},E.prototype.resume=function(){var e=this._readableState;return e.flowing||(c("resume"),e.flowing=!e.readableListening,function(e,t){t.resumeScheduled||(t.resumeScheduled=!0,i.nextTick(O,e,t))}(this,e)),e.paused=!1,this},E.prototype.pause=function(){return c("call pause flowing=%j",this._readableState.flowing),!1!==this._readableState.flowing&&(c("pause"),this._readableState.flowing=!1,this.emit("pause")),this._readableState.paused=!0,this},E.prototype.wrap=function(e){var t=this,r=this._readableState,i=!1;for(var n in e.on("end",(function(){if(c("wrapped end"),r.decoder&&!r.ended){var e=r.decoder.end();e&&e.length&&t.push(e)}t.push(null)})),e.on("data",(function(n){(c("wrapped data"),r.decoder&&(n=r.decoder.write(n)),r.objectMode&&null==n)||(r.objectMode||n&&n.length)&&(t.push(n)||(i=!0,e.pause()))})),e)void 0===this[n]&&"function"==typeof e[n]&&(this[n]=function(t){return function(){return e[t].apply(e,arguments)}}(n));for(var a=0;a<S.length;a++)e.on(S[a],this.emit.bind(this,S[a]));return this._read=function(t){c("wrapped 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i(e){e._writableState&&!e._writableState.emitClose||e._readableState&&!e._readableState.emitClose||e.emit("close")}function n(e,t){e.emit("error",t)}e.exports={destroy:function(e,a){var o=this,s=this._readableState&&this._readableState.destroyed,f=this._writableState&&this._writableState.destroyed;return 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a=0,o=0;o<i.length;o++)a=(t=(0|r.words[o])-(0|i.words[o])+a)>>26,this.words[o]=67108863&t;for(;0!==a&&o<r.length;o++)a=(t=(0|r.words[o])+a)>>26,this.words[o]=67108863&t;if(0===a&&o<r.length&&r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this.length=Math.max(this.length,o),r!==this&&(this.negative=1),this._strip()},a.prototype.sub=function(e){return this.clone().isub(e)};var p=function(e,t,r){var i,n,a,o=e.words,s=t.words,f=r.words,c=0,d=0|o[0],u=8191&d,h=d>>>13,l=0|o[1],b=8191&l,p=l>>>13,m=0|o[2],g=8191&m,v=m>>>13,y=0|o[3],w=8191&y,_=y>>>13,M=0|o[4],S=8191&M,k=M>>>13,E=0|o[5],x=8191&E,z=E>>>13,A=0|o[6],I=8191&A,q=A>>>13,R=0|o[7],j=8191&R,B=R>>>13,N=0|o[8],O=8191&N,T=N>>>13,P=0|o[9],L=8191&P,D=P>>>13,C=0|s[0],U=8191&C,F=C>>>13,K=0|s[1],J=8191&K,Z=K>>>13,H=0|s[2],W=8191&H,X=H>>>13,Y=0|s[3],V=8191&Y,G=Y>>>13,$=0|s[4],Q=8191&$,ee=$>>>13,te=0|s[5],re=8191&te,ie=te>>>13,ne=0|s[6],ae=8191&ne,oe=ne>>>13,se=0|s[7],fe=8191&se,ce=se>>>13,de=0|s[8],ue=8191&de,he=de>>>13,le=0|s[9],be=8191&le,pe=le>>>13;r.negative=e.negative^t.negative,r.length=19;var me=(c+(i=Math.imul(u,U))|0)+((8191&(n=(n=Math.imul(u,F))+Math.imul(h,U)|0))<<13)|0;c=((a=Math.imul(h,F))+(n>>>13)|0)+(me>>>26)|0,me&=67108863,i=Math.imul(b,U),n=(n=Math.imul(b,F))+Math.imul(p,U)|0,a=Math.imul(p,F);var ge=(c+(i=i+Math.imul(u,J)|0)|0)+((8191&(n=(n=n+Math.imul(u,Z)|0)+Math.imul(h,J)|0))<<13)|0;c=((a=a+Math.imul(h,Z)|0)+(n>>>13)|0)+(ge>>>26)|0,ge&=67108863,i=Math.imul(g,U),n=(n=Math.imul(g,F))+Math.imul(v,U)|0,a=Math.imul(v,F),i=i+Math.imul(b,J)|0,n=(n=n+Math.imul(b,Z)|0)+Math.imul(p,J)|0,a=a+Math.imul(p,Z)|0;var ve=(c+(i=i+Math.imul(u,W)|0)|0)+((8191&(n=(n=n+Math.imul(u,X)|0)+Math.imul(h,W)|0))<<13)|0;c=((a=a+Math.imul(h,X)|0)+(n>>>13)|0)+(ve>>>26)|0,ve&=67108863,i=Math.imul(w,U),n=(n=Math.imul(w,F))+Math.imul(_,U)|0,a=Math.imul(_,F),i=i+Math.imul(g,J)|0,n=(n=n+Math.imul(g,Z)|0)+Math.imul(v,J)|0,a=a+Math.imul(v,Z)|0,i=i+Math.imul(b,W)|0,n=(n=n+Math.imul(b,X)|0)+Math.imul(p,W)|0,a=a+Math.imul(p,X)|0;var ye=(c+(i=i+Math.imul(u,V)|0)|0)+((8191&(n=(n=n+Math.imul(u,G)|0)+Math.imul(h,V)|0))<<13)|0;c=((a=a+Math.imul(h,G)|0)+(n>>>13)|0)+(ye>>>26)|0,ye&=67108863,i=Math.imul(S,U),n=(n=Math.imul(S,F))+Math.imul(k,U)|0,a=Math.imul(k,F),i=i+Math.imul(w,J)|0,n=(n=n+Math.imul(w,Z)|0)+Math.imul(_,J)|0,a=a+Math.imul(_,Z)|0,i=i+Math.imul(g,W)|0,n=(n=n+Math.imul(g,X)|0)+Math.imul(v,W)|0,a=a+Math.imul(v,X)|0,i=i+Math.imul(b,V)|0,n=(n=n+Math.imul(b,G)|0)+Math.imul(p,V)|0,a=a+Math.imul(p,G)|0;var we=(c+(i=i+Math.imul(u,Q)|0)|0)+((8191&(n=(n=n+Math.imul(u,ee)|0)+Math.imul(h,Q)|0))<<13)|0;c=((a=a+Math.imul(h,ee)|0)+(n>>>13)|0)+(we>>>26)|0,we&=67108863,i=Math.imul(x,U),n=(n=Math.imul(x,F))+Math.imul(z,U)|0,a=Math.imul(z,F),i=i+Math.imul(S,J)|0,n=(n=n+Math.imul(S,Z)|0)+Math.imul(k,J)|0,a=a+Math.imul(k,Z)|0,i=i+Math.imul(w,W)|0,n=(n=n+Math.imul(w,X)|0)+Math.imul(_,W)|0,a=a+Math.imul(_,X)|0,i=i+Math.imul(g,V)|0,n=(n=n+Math.imul(g,G)|0)+Math.imul(v,V)|0,a=a+Math.imul(v,G)|0,i=i+Math.imul(b,Q)|0,n=(n=n+Math.imul(b,ee)|0)+Math.imul(p,Q)|0,a=a+Math.imul(p,ee)|0;var _e=(c+(i=i+Math.imul(u,re)|0)|0)+((8191&(n=(n=n+Math.imul(u,ie)|0)+Math.imul(h,re)|0))<<13)|0;c=((a=a+Math.imul(h,ie)|0)+(n>>>13)|0)+(_e>>>26)|0,_e&=67108863,i=Math.imul(I,U),n=(n=Math.imul(I,F))+Math.imul(q,U)|0,a=Math.imul(q,F),i=i+Math.imul(x,J)|0,n=(n=n+Math.imul(x,Z)|0)+Math.imul(z,J)|0,a=a+Math.imul(z,Z)|0,i=i+Math.imul(S,W)|0,n=(n=n+Math.imul(S,X)|0)+Math.imul(k,W)|0,a=a+Math.imul(k,X)|0,i=i+Math.imul(w,V)|0,n=(n=n+Math.imul(w,G)|0)+Math.imul(_,V)|0,a=a+Math.imul(_,G)|0,i=i+Math.imul(g,Q)|0,n=(n=n+Math.imul(g,ee)|0)+Math.imul(v,Q)|0,a=a+Math.imul(v,ee)|0,i=i+Math.imul(b,re)|0,n=(n=n+Math.imul(b,ie)|0)+Math.imul(p,re)|0,a=a+Math.imul(p,ie)|0;var Me=(c+(i=i+Math.imul(u,ae)|0)|0)+((8191&(n=(n=n+Math.imul(u,oe)|0)+Math.imul(h,ae)|0))<<13)|0;c=((a=a+Math.imul(h,oe)|0)+(n>>>13)|0)+(Me>>>26)|0,Me&=67108863,i=Math.imul(j,U),n=(n=Math.imul(j,F))+Math.imul(B,U)|0,a=Math.imul(B,F),i=i+Math.imul(I,J)|0,n=(n=n+Math.imul(I,Z)|0)+Math.imul(q,J)|0,a=a+Math.imul(q,Z)|0,i=i+Math.imul(x,W)|0,n=(n=n+Math.imul(x,X)|0)+Math.imul(z,W)|0,a=a+Math.imul(z,X)|0,i=i+Math.imul(S,V)|0,n=(n=n+Math.imul(S,G)|0)+Math.imul(k,V)|0,a=a+Math.imul(k,G)|0,i=i+Math.imul(w,Q)|0,n=(n=n+Math.imul(w,ee)|0)+Math.imul(_,Q)|0,a=a+Math.imul(_,ee)|0,i=i+Math.imul(g,re)|0,n=(n=n+Math.imul(g,ie)|0)+Math.imul(v,re)|0,a=a+Math.imul(v,ie)|0,i=i+Math.imul(b,ae)|0,n=(n=n+Math.imul(b,oe)|0)+Math.imul(p,ae)|0,a=a+Math.imul(p,oe)|0;var Se=(c+(i=i+Math.imul(u,fe)|0)|0)+((8191&(n=(n=n+Math.imul(u,ce)|0)+Math.imul(h,fe)|0))<<13)|0;c=((a=a+Math.imul(h,ce)|0)+(n>>>13)|0)+(Se>>>26)|0,Se&=67108863,i=Math.imul(O,U),n=(n=Math.imul(O,F))+Math.imul(T,U)|0,a=Math.imul(T,F),i=i+Math.imul(j,J)|0,n=(n=n+Math.imul(j,Z)|0)+Math.imul(B,J)|0,a=a+Math.imul(B,Z)|0,i=i+Math.imul(I,W)|0,n=(n=n+Math.imul(I,X)|0)+Math.imul(q,W)|0,a=a+Math.imul(q,X)|0,i=i+Math.imul(x,V)|0,n=(n=n+Math.imul(x,G)|0)+Math.imul(z,V)|0,a=a+Math.imul(z,G)|0,i=i+Math.imul(S,Q)|0,n=(n=n+Math.imul(S,ee)|0)+Math.imul(k,Q)|0,a=a+Math.imul(k,ee)|0,i=i+Math.imul(w,re)|0,n=(n=n+Math.imul(w,ie)|0)+Math.imul(_,re)|0,a=a+Math.imul(_,ie)|0,i=i+Math.imul(g,ae)|0,n=(n=n+Math.imul(g,oe)|0)+Math.imul(v,ae)|0,a=a+Math.imul(v,oe)|0,i=i+Math.imul(b,fe)|0,n=(n=n+Math.imul(b,ce)|0)+Math.imul(p,fe)|0,a=a+Math.imul(p,ce)|0;var ke=(c+(i=i+Math.imul(u,ue)|0)|0)+((8191&(n=(n=n+Math.imul(u,he)|0)+Math.imul(h,ue)|0))<<13)|0;c=((a=a+Math.imul(h,he)|0)+(n>>>13)|0)+(ke>>>26)|0,ke&=67108863,i=Math.imul(L,U),n=(n=Math.imul(L,F))+Math.imul(D,U)|0,a=Math.imul(D,F),i=i+Math.imul(O,J)|0,n=(n=n+Math.imul(O,Z)|0)+Math.imul(T,J)|0,a=a+Math.imul(T,Z)|0,i=i+Math.imul(j,W)|0,n=(n=n+Math.imul(j,X)|0)+Math.imul(B,W)|0,a=a+Math.imul(B,X)|0,i=i+Math.imul(I,V)|0,n=(n=n+Math.imul(I,G)|0)+Math.imul(q,V)|0,a=a+Math.imul(q,G)|0,i=i+Math.imul(x,Q)|0,n=(n=n+Math.imul(x,ee)|0)+Math.imul(z,Q)|0,a=a+Math.imul(z,ee)|0,i=i+Math.imul(S,re)|0,n=(n=n+Math.imul(S,ie)|0)+Math.imul(k,re)|0,a=a+Math.imul(k,ie)|0,i=i+Math.imul(w,ae)|0,n=(n=n+Math.imul(w,oe)|0)+Math.imul(_,ae)|0,a=a+Math.imul(_,oe)|0,i=i+Math.imul(g,fe)|0,n=(n=n+Math.imul(g,ce)|0)+Math.imul(v,fe)|0,a=a+Math.imul(v,ce)|0,i=i+Math.imul(b,ue)|0,n=(n=n+Math.imul(b,he)|0)+Math.imul(p,ue)|0,a=a+Math.imul(p,he)|0;var Ee=(c+(i=i+Math.imul(u,be)|0)|0)+((8191&(n=(n=n+Math.imul(u,pe)|0)+Math.imul(h,be)|0))<<13)|0;c=((a=a+Math.imul(h,pe)|0)+(n>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,i=Math.imul(L,J),n=(n=Math.imul(L,Z))+Math.imul(D,J)|0,a=Math.imul(D,Z),i=i+Math.imul(O,W)|0,n=(n=n+Math.imul(O,X)|0)+Math.imul(T,W)|0,a=a+Math.imul(T,X)|0,i=i+Math.imul(j,V)|0,n=(n=n+Math.imul(j,G)|0)+Math.imul(B,V)|0,a=a+Math.imul(B,G)|0,i=i+Math.imul(I,Q)|0,n=(n=n+Math.imul(I,ee)|0)+Math.imul(q,Q)|0,a=a+Math.imul(q,ee)|0,i=i+Math.imul(x,re)|0,n=(n=n+Math.imul(x,ie)|0)+Math.imul(z,re)|0,a=a+Math.imul(z,ie)|0,i=i+Math.imul(S,ae)|0,n=(n=n+Math.imul(S,oe)|0)+Math.imul(k,ae)|0,a=a+Math.imul(k,oe)|0,i=i+Math.imul(w,fe)|0,n=(n=n+Math.imul(w,ce)|0)+Math.imul(_,fe)|0,a=a+Math.imul(_,ce)|0,i=i+Math.imul(g,ue)|0,n=(n=n+Math.imul(g,he)|0)+Math.imul(v,ue)|0,a=a+Math.imul(v,he)|0;var xe=(c+(i=i+Math.imul(b,be)|0)|0)+((8191&(n=(n=n+Math.imul(b,pe)|0)+Math.imul(p,be)|0))<<13)|0;c=((a=a+Math.imul(p,pe)|0)+(n>>>13)|0)+(xe>>>26)|0,xe&=67108863,i=Math.imul(L,W),n=(n=Math.imul(L,X))+Math.imul(D,W)|0,a=Math.imul(D,X),i=i+Math.imul(O,V)|0,n=(n=n+Math.imul(O,G)|0)+Math.imul(T,V)|0,a=a+Math.imul(T,G)|0,i=i+Math.imul(j,Q)|0,n=(n=n+Math.imul(j,ee)|0)+Math.imul(B,Q)|0,a=a+Math.imul(B,ee)|0,i=i+Math.imul(I,re)|0,n=(n=n+Math.imul(I,ie)|0)+Math.imul(q,re)|0,a=a+Math.imul(q,ie)|0,i=i+Math.imul(x,ae)|0,n=(n=n+Math.imul(x,oe)|0)+Math.imul(z,ae)|0,a=a+Math.imul(z,oe)|0,i=i+Math.imul(S,fe)|0,n=(n=n+Math.imul(S,ce)|0)+Math.imul(k,fe)|0,a=a+Math.imul(k,ce)|0,i=i+Math.imul(w,ue)|0,n=(n=n+Math.imul(w,he)|0)+Math.imul(_,ue)|0,a=a+Math.imul(_,he)|0;var ze=(c+(i=i+Math.imul(g,be)|0)|0)+((8191&(n=(n=n+Math.imul(g,pe)|0)+Math.imul(v,be)|0))<<13)|0;c=((a=a+Math.imul(v,pe)|0)+(n>>>13)|0)+(ze>>>26)|0,ze&=67108863,i=Math.imul(L,V),n=(n=Math.imul(L,G))+Math.imul(D,V)|0,a=Math.imul(D,G),i=i+Math.imul(O,Q)|0,n=(n=n+Math.imul(O,ee)|0)+Math.imul(T,Q)|0,a=a+Math.imul(T,ee)|0,i=i+Math.imul(j,re)|0,n=(n=n+Math.imul(j,ie)|0)+Math.imul(B,re)|0,a=a+Math.imul(B,ie)|0,i=i+Math.imul(I,ae)|0,n=(n=n+Math.imul(I,oe)|0)+Math.imul(q,ae)|0,a=a+Math.imul(q,oe)|0,i=i+Math.imul(x,fe)|0,n=(n=n+Math.imul(x,ce)|0)+Math.imul(z,fe)|0,a=a+Math.imul(z,ce)|0,i=i+Math.imul(S,ue)|0,n=(n=n+Math.imul(S,he)|0)+Math.imul(k,ue)|0,a=a+Math.imul(k,he)|0;var Ae=(c+(i=i+Math.imul(w,be)|0)|0)+((8191&(n=(n=n+Math.imul(w,pe)|0)+Math.imul(_,be)|0))<<13)|0;c=((a=a+Math.imul(_,pe)|0)+(n>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,i=Math.imul(L,Q),n=(n=Math.imul(L,ee))+Math.imul(D,Q)|0,a=Math.imul(D,ee),i=i+Math.imul(O,re)|0,n=(n=n+Math.imul(O,ie)|0)+Math.imul(T,re)|0,a=a+Math.imul(T,ie)|0,i=i+Math.imul(j,ae)|0,n=(n=n+Math.imul(j,oe)|0)+Math.imul(B,ae)|0,a=a+Math.imul(B,oe)|0,i=i+Math.imul(I,fe)|0,n=(n=n+Math.imul(I,ce)|0)+Math.imul(q,fe)|0,a=a+Math.imul(q,ce)|0,i=i+Math.imul(x,ue)|0,n=(n=n+Math.imul(x,he)|0)+Math.imul(z,ue)|0,a=a+Math.imul(z,he)|0;var Ie=(c+(i=i+Math.imul(S,be)|0)|0)+((8191&(n=(n=n+Math.imul(S,pe)|0)+Math.imul(k,be)|0))<<13)|0;c=((a=a+Math.imul(k,pe)|0)+(n>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,i=Math.imul(L,re),n=(n=Math.imul(L,ie))+Math.imul(D,re)|0,a=Math.imul(D,ie),i=i+Math.imul(O,ae)|0,n=(n=n+Math.imul(O,oe)|0)+Math.imul(T,ae)|0,a=a+Math.imul(T,oe)|0,i=i+Math.imul(j,fe)|0,n=(n=n+Math.imul(j,ce)|0)+Math.imul(B,fe)|0,a=a+Math.imul(B,ce)|0,i=i+Math.imul(I,ue)|0,n=(n=n+Math.imul(I,he)|0)+Math.imul(q,ue)|0,a=a+Math.imul(q,he)|0;var qe=(c+(i=i+Math.imul(x,be)|0)|0)+((8191&(n=(n=n+Math.imul(x,pe)|0)+Math.imul(z,be)|0))<<13)|0;c=((a=a+Math.imul(z,pe)|0)+(n>>>13)|0)+(qe>>>26)|0,qe&=67108863,i=Math.imul(L,ae),n=(n=Math.imul(L,oe))+Math.imul(D,ae)|0,a=Math.imul(D,oe),i=i+Math.imul(O,fe)|0,n=(n=n+Math.imul(O,ce)|0)+Math.imul(T,fe)|0,a=a+Math.imul(T,ce)|0,i=i+Math.imul(j,ue)|0,n=(n=n+Math.imul(j,he)|0)+Math.imul(B,ue)|0,a=a+Math.imul(B,he)|0;var Re=(c+(i=i+Math.imul(I,be)|0)|0)+((8191&(n=(n=n+Math.imul(I,pe)|0)+Math.imul(q,be)|0))<<13)|0;c=((a=a+Math.imul(q,pe)|0)+(n>>>13)|0)+(Re>>>26)|0,Re&=67108863,i=Math.imul(L,fe),n=(n=Math.imul(L,ce))+Math.imul(D,fe)|0,a=Math.imul(D,ce),i=i+Math.imul(O,ue)|0,n=(n=n+Math.imul(O,he)|0)+Math.imul(T,ue)|0,a=a+Math.imul(T,he)|0;var je=(c+(i=i+Math.imul(j,be)|0)|0)+((8191&(n=(n=n+Math.imul(j,pe)|0)+Math.imul(B,be)|0))<<13)|0;c=((a=a+Math.imul(B,pe)|0)+(n>>>13)|0)+(je>>>26)|0,je&=67108863,i=Math.imul(L,ue),n=(n=Math.imul(L,he))+Math.imul(D,ue)|0,a=Math.imul(D,he);var Be=(c+(i=i+Math.imul(O,be)|0)|0)+((8191&(n=(n=n+Math.imul(O,pe)|0)+Math.imul(T,be)|0))<<13)|0;c=((a=a+Math.imul(T,pe)|0)+(n>>>13)|0)+(Be>>>26)|0,Be&=67108863;var Ne=(c+(i=Math.imul(L,be))|0)+((8191&(n=(n=Math.imul(L,pe))+Math.imul(D,be)|0))<<13)|0;return c=((a=Math.imul(D,pe))+(n>>>13)|0)+(Ne>>>26)|0,Ne&=67108863,f[0]=me,f[1]=ge,f[2]=ve,f[3]=ye,f[4]=we,f[5]=_e,f[6]=Me,f[7]=Se,f[8]=ke,f[9]=Ee,f[10]=xe,f[11]=ze,f[12]=Ae,f[13]=Ie,f[14]=qe,f[15]=Re,f[16]=je,f[17]=Be,f[18]=Ne,0!==c&&(f[19]=c,r.length++),r};function m(e,t,r){r.negative=t.negative^e.negative,r.length=e.length+t.length;for(var i=0,n=0,a=0;a<r.length-1;a++){var o=n;n=0;for(var s=67108863&i,f=Math.min(a,t.length-1),c=Math.max(0,a-e.length+1);c<=f;c++){var d=a-c,u=(0|e.words[d])*(0|t.words[c]),h=67108863&u;s=67108863&(h=h+s|0),n+=(o=(o=o+(u/67108864|0)|0)+(h>>>26)|0)>>>26,o&=67108863}r.words[a]=s,i=o,o=n}return 0!==i?r.words[a]=i:r.length--,r._strip()}function g(e,t,r){return m(e,t,r)}function v(e,t){this.x=e,this.y=t}Math.imul||(p=b),a.prototype.mulTo=function(e,t){var r=this.length+e.length;return 10===this.length&&10===e.length?p(this,e,t):r<63?b(this,e,t):r<1024?m(this,e,t):g(this,e,t)},v.prototype.makeRBT=function(e){for(var t=new Array(e),r=a.prototype._countBits(e)-1,i=0;i<e;i++)t[i]=this.revBin(i,r,e);return t},v.prototype.revBin=function(e,t,r){if(0===e||e===r-1)return e;for(var i=0,n=0;n<t;n++)i|=(1&e)<<t-n-1,e>>=1;return i},v.prototype.permute=function(e,t,r,i,n,a){for(var o=0;o<a;o++)i[o]=t[e[o]],n[o]=r[e[o]]},v.prototype.transform=function(e,t,r,i,n,a){this.permute(a,e,t,r,i,n);for(var o=1;o<n;o<<=1)for(var s=o<<1,f=Math.cos(2*Math.PI/s),c=Math.sin(2*Math.PI/s),d=0;d<n;d+=s)for(var u=f,h=c,l=0;l<o;l++){var b=r[d+l],p=i[d+l],m=r[d+l+o],g=i[d+l+o],v=u*m-h*g;g=u*g+h*m,m=v,r[d+l]=b+m,i[d+l]=p+g,r[d+l+o]=b-m,i[d+l+o]=p-g,l!==s&&(v=f*u-c*h,h=f*h+c*u,u=v)}},v.prototype.guessLen13b=function(e,t){var r=1|Math.max(t,e),i=1&r,n=0;for(r=r/2|0;r;r>>>=1)n++;return 1<<n+1+i},v.prototype.conjugate=function(e,t,r){if(!(r<=1))for(var i=0;i<r/2;i++){var n=e[i];e[i]=e[r-i-1],e[r-i-1]=n,n=t[i],t[i]=-t[r-i-1],t[r-i-1]=-n}},v.prototype.normalize13b=function(e,t){for(var r=0,i=0;i<t/2;i++){var n=8192*Math.round(e[2*i+1]/t)+Math.round(e[2*i]/t)+r;e[i]=67108863&n,r=n<67108864?0:n/67108864|0}return e},v.prototype.convert13b=function(e,t,r,n){for(var a=0,o=0;o<t;o++)a+=0|e[o],r[2*o]=8191&a,a>>>=13,r[2*o+1]=8191&a,a>>>=13;for(o=2*t;o<n;++o)r[o]=0;i(0===a),i(0==(-8192&a))},v.prototype.stub=function(e){for(var t=new Array(e),r=0;r<e;r++)t[r]=0;return t},v.prototype.mulp=function(e,t,r){var i=2*this.guessLen13b(e.length,t.length),n=this.makeRBT(i),a=this.stub(i),o=new Array(i),s=new Array(i),f=new Array(i),c=new Array(i),d=new Array(i),u=new Array(i),h=r.words;h.length=i,this.convert13b(e.words,e.length,o,i),this.convert13b(t.words,t.length,c,i),this.transform(o,a,s,f,i,n),this.transform(c,a,d,u,i,n);for(var l=0;l<i;l++){var b=s[l]*d[l]-f[l]*u[l];f[l]=s[l]*u[l]+f[l]*d[l],s[l]=b}return this.conjugate(s,f,i),this.transform(s,f,h,a,i,n),this.conjugate(h,a,i),this.normalize13b(h,i),r.negative=e.negative^t.negative,r.length=e.length+t.length,r._strip()},a.prototype.mul=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},a.prototype.mulf=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),g(this,e,t)},a.prototype.imul=function(e){return this.clone().mulTo(e,this)},a.prototype.imuln=function(e){var t=e<0;t&&(e=-e),i("number"==typeof e),i(e<67108864);for(var r=0,n=0;n<this.length;n++){var a=(0|this.words[n])*e,o=(67108863&a)+(67108863&r);r>>=26,r+=a/67108864|0,r+=o>>>26,this.words[n]=67108863&o}return 0!==r&&(this.words[n]=r,this.length++),t?this.ineg():this},a.prototype.muln=function(e){return this.clone().imuln(e)},a.prototype.sqr=function(){return this.mul(this)},a.prototype.isqr=function(){return this.imul(this.clone())},a.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),r=0;r<t.length;r++){var i=r/26|0,n=r%26;t[r]=e.words[i]>>>n&1}return t}(e);if(0===t.length)return new a(1);for(var r=this,i=0;i<t.length&&0===t[i];i++,r=r.sqr());if(++i<t.length)for(var n=r.sqr();i<t.length;i++,n=n.sqr())0!==t[i]&&(r=r.mul(n));return r},a.prototype.iushln=function(e){i("number"==typeof e&&e>=0);var t,r=e%26,n=(e-r)/26,a=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(t=0;t<this.length;t++){var s=this.words[t]&a,f=(0|this.words[t])-s<<r;this.words[t]=f|o,o=s>>>26-r}o&&(this.words[t]=o,this.length++)}if(0!==n){for(t=this.length-1;t>=0;t--)this.words[t+n]=this.words[t];for(t=0;t<n;t++)this.words[t]=0;this.length+=n}return this._strip()},a.prototype.ishln=function(e){return i(0===this.negative),this.iushln(e)},a.prototype.iushrn=function(e,t,r){var n;i("number"==typeof e&&e>=0),n=t?(t-t%26)/26:0;var a=e%26,o=Math.min((e-a)/26,this.length),s=67108863^67108863>>>a<<a,f=r;if(n-=o,n=Math.max(0,n),f){for(var c=0;c<o;c++)f.words[c]=this.words[c];f.length=o}if(0===o);else if(this.length>o)for(this.length-=o,c=0;c<this.length;c++)this.words[c]=this.words[c+o];else this.words[0]=0,this.length=1;var d=0;for(c=this.length-1;c>=0&&(0!==d||c>=n);c--){var u=0|this.words[c];this.words[c]=d<<26-a|u>>>a,d=u&s}return f&&0!==d&&(f.words[f.length++]=d),0===this.length&&(this.words[0]=0,this.length=1),this._strip()},a.prototype.ishrn=function(e,t,r){return i(0===this.negative),this.iushrn(e,t,r)},a.prototype.shln=function(e){return this.clone().ishln(e)},a.prototype.ushln=function(e){return this.clone().iushln(e)},a.prototype.shrn=function(e){return this.clone().ishrn(e)},a.prototype.ushrn=function(e){return this.clone().iushrn(e)},a.prototype.testn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26,n=1<<t;return!(this.length<=r)&&!!(this.words[r]&n)},a.prototype.imaskn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==t&&r++,this.length=Math.min(r,this.length),0!==t){var n=67108863^67108863>>>t<<t;this.words[this.length-1]&=n}return this._strip()},a.prototype.maskn=function(e){return this.clone().imaskn(e)},a.prototype.iaddn=function(e){return i("number"==typeof e),i(e<67108864),e<0?this.isubn(-e):0!==this.negative?1===this.length&&(0|this.words[0])<=e?(this.words[0]=e-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(e),this.negative=1,this):this._iaddn(e)},a.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},a.prototype.isubn=function(e){if(i("number"==typeof e),i(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,this.words[t+1]-=1;return this._strip()},a.prototype.addn=function(e){return this.clone().iaddn(e)},a.prototype.subn=function(e){return this.clone().isubn(e)},a.prototype.iabs=function(){return this.negative=0,this},a.prototype.abs=function(){return this.clone().iabs()},a.prototype._ishlnsubmul=function(e,t,r){var n,a,o=e.length+r;this._expand(o);var s=0;for(n=0;n<e.length;n++){a=(0|this.words[n+r])+s;var f=(0|e.words[n])*t;s=((a-=67108863&f)>>26)-(f/67108864|0),this.words[n+r]=67108863&a}for(;n<this.length-r;n++)s=(a=(0|this.words[n+r])+s)>>26,this.words[n+r]=67108863&a;if(0===s)return this._strip();for(i(-1===s),s=0,n=0;n<this.length;n++)s=(a=-(0|this.words[n])+s)>>26,this.words[n]=67108863&a;return this.negative=1,this._strip()},a.prototype._wordDiv=function(e,t){var r=(this.length,e.length),i=this.clone(),n=e,o=0|n.words[n.length-1];0!==(r=26-this._countBits(o))&&(n=n.ushln(r),i.iushln(r),o=0|n.words[n.length-1]);var s,f=i.length-n.length;if("mod"!==t){(s=new a(null)).length=f+1,s.words=new Array(s.length);for(var c=0;c<s.length;c++)s.words[c]=0}var d=i.clone()._ishlnsubmul(n,1,f);0===d.negative&&(i=d,s&&(s.words[f]=1));for(var u=f-1;u>=0;u--){var h=67108864*(0|i.words[n.length+u])+(0|i.words[n.length+u-1]);for(h=Math.min(h/o|0,67108863),i._ishlnsubmul(n,h,u);0!==i.negative;)h--,i.negative=0,i._ishlnsubmul(n,1,u),i.isZero()||(i.negative^=1);s&&(s.words[u]=h)}return s&&s._strip(),i._strip(),"div"!==t&&0!==r&&i.iushrn(r),{div:s||null,mod:i}},a.prototype.divmod=function(e,t,r){return i(!e.isZero()),this.isZero()?{div:new a(0),mod:new a(0)}:0!==this.negative&&0===e.negative?(s=this.neg().divmod(e,t),"mod"!==t&&(n=s.div.neg()),"div"!==t&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(e)),{div:n,mod:o}):0===this.negative&&0!==e.negative?(s=this.divmod(e.neg(),t),"mod"!==t&&(n=s.div.neg()),{div:n,mod:s.mod}):0!=(this.negative&e.negative)?(s=this.neg().divmod(e.neg(),t),"div"!==t&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(e)),{div:s.div,mod:o}):e.length>this.length||this.cmp(e)<0?{div:new a(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new a(this.modrn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new a(this.modrn(e.words[0]))}:this._wordDiv(e,t);var n,o,s},a.prototype.div=function(e){return this.divmod(e,"div",!1).div},a.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},a.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},a.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var r=0!==t.div.negative?t.mod.isub(e):t.mod,i=e.ushrn(1),n=e.andln(1),a=r.cmp(i);return a<0||1===n&&0===a?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},a.prototype.modrn=function(e){var t=e<0;t&&(e=-e),i(e<=67108863);for(var r=(1<<26)%e,n=0,a=this.length-1;a>=0;a--)n=(r*n+(0|this.words[a]))%e;return t?-n:n},a.prototype.modn=function(e){return this.modrn(e)},a.prototype.idivn=function(e){var t=e<0;t&&(e=-e),i(e<=67108863);for(var r=0,n=this.length-1;n>=0;n--){var a=(0|this.words[n])+67108864*r;this.words[n]=a/e|0,r=a%e}return this._strip(),t?this.ineg():this},a.prototype.divn=function(e){return this.clone().idivn(e)},a.prototype.egcd=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var n=new a(1),o=new a(0),s=new a(0),f=new a(1),c=0;t.isEven()&&r.isEven();)t.iushrn(1),r.iushrn(1),++c;for(var d=r.clone(),u=t.clone();!t.isZero();){for(var h=0,l=1;0==(t.words[0]&l)&&h<26;++h,l<<=1);if(h>0)for(t.iushrn(h);h-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(d),o.isub(u)),n.iushrn(1),o.iushrn(1);for(var b=0,p=1;0==(r.words[0]&p)&&b<26;++b,p<<=1);if(b>0)for(r.iushrn(b);b-- >0;)(s.isOdd()||f.isOdd())&&(s.iadd(d),f.isub(u)),s.iushrn(1),f.iushrn(1);t.cmp(r)>=0?(t.isub(r),n.isub(s),o.isub(f)):(r.isub(t),s.isub(n),f.isub(o))}return{a:s,b:f,gcd:r.iushln(c)}},a.prototype._invmp=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var n,o=new a(1),s=new a(0),f=r.clone();t.cmpn(1)>0&&r.cmpn(1)>0;){for(var c=0,d=1;0==(t.words[0]&d)&&c<26;++c,d<<=1);if(c>0)for(t.iushrn(c);c-- >0;)o.isOdd()&&o.iadd(f),o.iushrn(1);for(var u=0,h=1;0==(r.words[0]&h)&&u<26;++u,h<<=1);if(u>0)for(r.iushrn(u);u-- >0;)s.isOdd()&&s.iadd(f),s.iushrn(1);t.cmp(r)>=0?(t.isub(r),o.isub(s)):(r.isub(t),s.isub(o))}return(n=0===t.cmpn(1)?o:s).cmpn(0)<0&&n.iadd(e),n},a.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),r=e.clone();t.negative=0,r.negative=0;for(var i=0;t.isEven()&&r.isEven();i++)t.iushrn(1),r.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;r.isEven();)r.iushrn(1);var n=t.cmp(r);if(n<0){var a=t;t=r,r=a}else if(0===n||0===r.cmpn(1))break;t.isub(r)}return r.iushln(i)},a.prototype.invm=function(e){return this.egcd(e).a.umod(e)},a.prototype.isEven=function(){return 0==(1&this.words[0])},a.prototype.isOdd=function(){return 1==(1&this.words[0])},a.prototype.andln=function(e){return this.words[0]&e},a.prototype.bincn=function(e){i("number"==typeof e);var t=e%26,r=(e-t)/26,n=1<<t;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var a=n,o=r;0!==a&&o<this.length;o++){var s=0|this.words[o];a=(s+=a)>>>26,s&=67108863,this.words[o]=s}return 0!==a&&(this.words[o]=a,this.length++),this},a.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},a.prototype.cmpn=function(e){var t,r=e<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this._strip(),this.length>1)t=1;else{r&&(e=-e),i(e<=67108863,"Number is too big");var n=0|this.words[0];t=n===e?0:n<e?-1:1}return 0!==this.negative?0|-t:t},a.prototype.cmp=function(e){if(0!==this.negative&&0===e.negative)return-1;if(0===this.negative&&0!==e.negative)return 1;var t=this.ucmp(e);return 0!==this.negative?0|-t:t},a.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,r=this.length-1;r>=0;r--){var i=0|this.words[r],n=0|e.words[r];if(i!==n){i<n?t=-1:i>n&&(t=1);break}}return t},a.prototype.gtn=function(e){return 1===this.cmpn(e)},a.prototype.gt=function(e){return 1===this.cmp(e)},a.prototype.gten=function(e){return this.cmpn(e)>=0},a.prototype.gte=function(e){return this.cmp(e)>=0},a.prototype.ltn=function(e){return-1===this.cmpn(e)},a.prototype.lt=function(e){return-1===this.cmp(e)},a.prototype.lten=function(e){return this.cmpn(e)<=0},a.prototype.lte=function(e){return this.cmp(e)<=0},a.prototype.eqn=function(e){return 0===this.cmpn(e)},a.prototype.eq=function(e){return 0===this.cmp(e)},a.red=function(e){return new E(e)},a.prototype.toRed=function(e){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),e.convertTo(this)._forceRed(e)},a.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},a.prototype._forceRed=function(e){return this.red=e,this},a.prototype.forceRed=function(e){return i(!this.red,"Already a number in reduction context"),this._forceRed(e)},a.prototype.redAdd=function(e){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,e)},a.prototype.redIAdd=function(e){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,e)},a.prototype.redSub=function(e){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,e)},a.prototype.redISub=function(e){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,e)},a.prototype.redShl=function(e){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,e)},a.prototype.redMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.mul(this,e)},a.prototype.redIMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.imul(this,e)},a.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},a.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},a.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},a.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},a.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},a.prototype.redPow=function(e){return i(this.red&&!e.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,e)};var y={k256:null,p224:null,p192:null,p25519:null};function w(e,t){this.name=e,this.p=new a(t,16),this.n=this.p.bitLength(),this.k=new a(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function _(){w.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function M(){w.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function S(){w.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function k(){w.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function E(e){if("string"==typeof e){var t=a._prime(e);this.m=t.p,this.prime=t}else i(e.gtn(1),"modulus must be greater than 1"),this.m=e,this.prime=null}function x(e){E.call(this,e),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new a(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)}w.prototype._tmp=function(){var e=new a(null);return e.words=new Array(Math.ceil(this.n/13)),e},w.prototype.ireduce=function(e){var t,r=e;do{this.split(r,this.tmp),t=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(t>this.n);var i=t<this.n?-1:r.ucmp(this.p);return 0===i?(r.words[0]=0,r.length=1):i>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},w.prototype.split=function(e,t){e.iushrn(this.n,0,t)},w.prototype.imulK=function(e){return e.imul(this.k)},n(_,w),_.prototype.split=function(e,t){for(var r=Math.min(e.length,9),i=0;i<r;i++)t.words[i]=e.words[i];if(t.length=r,e.length<=9)return e.words[0]=0,void(e.length=1);var n=e.words[9];for(t.words[t.length++]=4194303&n,i=10;i<e.length;i++){var a=0|e.words[i];e.words[i-10]=(4194303&a)<<4|n>>>22,n=a}n>>>=22,e.words[i-10]=n,0===n&&e.length>10?e.length-=10:e.length-=9},_.prototype.imulK=function(e){e.words[e.length]=0,e.words[e.length+1]=0,e.length+=2;for(var t=0,r=0;r<e.length;r++){var i=0|e.words[r];t+=977*i,e.words[r]=67108863&t,t=64*i+(t/67108864|0)}return 0===e.words[e.length-1]&&(e.length--,0===e.words[e.length-1]&&e.length--),e},n(M,w),n(S,w),n(k,w),k.prototype.imulK=function(e){for(var t=0,r=0;r<e.length;r++){var i=19*(0|e.words[r])+t,n=67108863&i;i>>>=26,e.words[r]=n,t=i}return 0!==t&&(e.words[e.length++]=t),e},a._prime=function(e){if(y[e])return y[e];var t;if("k256"===e)t=new _;else if("p224"===e)t=new M;else if("p192"===e)t=new S;else{if("p25519"!==e)throw new Error("Unknown prime "+e);t=new k}return y[e]=t,t},E.prototype._verify1=function(e){i(0===e.negative,"red works only with positives"),i(e.red,"red works only with red numbers")},E.prototype._verify2=function(e,t){i(0==(e.negative|t.negative),"red works only with positives"),i(e.red&&e.red===t.red,"red works only with red numbers")},E.prototype.imod=function(e){return this.prime?this.prime.ireduce(e)._forceRed(this):(c(e,e.umod(this.m)._forceRed(this)),e)},E.prototype.neg=function(e){return e.isZero()?e.clone():this.m.sub(e)._forceRed(this)},E.prototype.add=function(e,t){this._verify2(e,t);var r=e.add(t);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},E.prototype.iadd=function(e,t){this._verify2(e,t);var r=e.iadd(t);return r.cmp(this.m)>=0&&r.isub(this.m),r},E.prototype.sub=function(e,t){this._verify2(e,t);var r=e.sub(t);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},E.prototype.isub=function(e,t){this._verify2(e,t);var r=e.isub(t);return r.cmpn(0)<0&&r.iadd(this.m),r},E.prototype.shl=function(e,t){return this._verify1(e),this.imod(e.ushln(t))},E.prototype.imul=function(e,t){return this._verify2(e,t),this.imod(e.imul(t))},E.prototype.mul=function(e,t){return this._verify2(e,t),this.imod(e.mul(t))},E.prototype.isqr=function(e){return this.imul(e,e.clone())},E.prototype.sqr=function(e){return this.mul(e,e)},E.prototype.sqrt=function(e){if(e.isZero())return e.clone();var t=this.m.andln(3);if(i(t%2==1),3===t){var r=this.m.add(new a(1)).iushrn(2);return this.pow(e,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var s=new a(1).toRed(this),f=s.redNeg(),c=this.m.subn(1).iushrn(1),d=this.m.bitLength();for(d=new a(2*d*d).toRed(this);0!==this.pow(d,c).cmp(f);)d.redIAdd(f);for(var u=this.pow(d,n),h=this.pow(e,n.addn(1).iushrn(1)),l=this.pow(e,n),b=o;0!==l.cmp(s);){for(var p=l,m=0;0!==p.cmp(s);m++)p=p.redSqr();i(m<b);var g=this.pow(u,new a(1).iushln(b-m-1));h=h.redMul(g),u=g.redSqr(),l=l.redMul(u),b=m}return h},E.prototype.invm=function(e){var t=e._invmp(this.m);return 0!==t.negative?(t.negative=0,this.imod(t).redNeg()):this.imod(t)},E.prototype.pow=function(e,t){if(t.isZero())return new a(1).toRed(this);if(0===t.cmpn(1))return e.clone();var r=new Array(16);r[0]=new a(1).toRed(this),r[1]=e;for(var i=2;i<r.length;i++)r[i]=this.mul(r[i-1],e);var n=r[0],o=0,s=0,f=t.bitLength()%26;for(0===f&&(f=26),i=t.length-1;i>=0;i--){for(var c=t.words[i],d=f-1;d>=0;d--){var u=c>>d&1;n!==r[0]&&(n=this.sqr(n)),0!==u||0!==o?(o<<=1,o|=u,(4===++s||0===i&&0===d)&&(n=this.mul(n,r[o]),s=0,o=0)):s=0}f=26}return n},E.prototype.convertTo=function(e){var t=e.umod(this.m);return t===e?t.clone():t},E.prototype.convertFrom=function(e){var t=e.clone();return t.red=null,t},a.mont=function(e){return new x(e)},n(x,E),x.prototype.convertTo=function(e){return this.imod(e.ushln(this.shift))},x.prototype.convertFrom=function(e){var t=this.imod(e.mul(this.rinv));return t.red=null,t},x.prototype.imul=function(e,t){if(e.isZero()||t.isZero())return e.words[0]=0,e.length=1,e;var r=e.imul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(i).iushrn(this.shift),a=n;return n.cmp(this.m)>=0?a=n.isub(this.m):n.cmpn(0)<0&&(a=n.iadd(this.m)),a._forceRed(this)},x.prototype.mul=function(e,t){if(e.isZero()||t.isZero())return new a(0)._forceRed(this);var r=e.mul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(i).iushrn(this.shift),o=n;return n.cmp(this.m)>=0?o=n.isub(this.m):n.cmpn(0)<0&&(o=n.iadd(this.m)),o._forceRed(this)},x.prototype.invm=function(e){return this.imod(e._invmp(this.m).mul(this.r2))._forceRed(this)}}(e,this)}).call(this,r(45)(e))},function(e,t,r){"use strict";const i=t;i.bignum=r(4),i.define=r(204).define,i.base=r(207),i.constants=r(208),i.decoders=r(102),i.encoders=r(100)},function(e,t,r){"use strict";const i=t;i.der=r(101),i.pem=r(205)},function(e,t,r){"use strict";const i=r(0),n=r(51).Buffer,a=r(52),o=r(54);function s(e){this.enc="der",this.name=e.name,this.entity=e,this.tree=new f,this.tree._init(e.body)}function f(e){a.call(this,"der",e)}function c(e){return e<10?"0"+e:e}e.exports=s,s.prototype.encode=function(e,t){return this.tree._encode(e,t).join()},i(f,a),f.prototype._encodeComposite=function(e,t,r,i){const a=function(e,t,r,i){let n;"seqof"===e?e="seq":"setof"===e&&(e="set");if(o.tagByName.hasOwnProperty(e))n=o.tagByName[e];else{if("number"!=typeof e||(0|e)!==e)return i.error("Unknown tag: "+e);n=e}if(n>=31)return i.error("Multi-octet tag encoding unsupported");t||(n|=32);return n|=o.tagClassByName[r||"universal"]<<6,n}(e,t,r,this.reporter);if(i.length<128){const e=n.alloc(2);return e[0]=a,e[1]=i.length,this._createEncoderBuffer([e,i])}let s=1;for(let e=i.length;e>=256;e>>=8)s++;const f=n.alloc(2+s);f[0]=a,f[1]=128|s;for(let e=1+s,t=i.length;t>0;e--,t>>=8)f[e]=255&t;return this._createEncoderBuffer([f,i])},f.prototype._encodeStr=function(e,t){if("bitstr"===t)return this._createEncoderBuffer([0|e.unused,e.data]);if("bmpstr"===t){const t=n.alloc(2*e.length);for(let r=0;r<e.length;r++)t.writeUInt16BE(e.charCodeAt(r),2*r);return this._createEncoderBuffer(t)}return"numstr"===t?this._isNumstr(e)?this._createEncoderBuffer(e):this.reporter.error("Encoding of string type: numstr supports only digits and space"):"printstr"===t?this._isPrintstr(e)?this._createEncoderBuffer(e):this.reporter.error("Encoding of string type: printstr supports only latin upper and lower case letters, digits, space, apostrophe, left and rigth parenthesis, plus sign, comma, hyphen, dot, slash, colon, equal sign, question mark"):/str$/.test(t)||"objDesc"===t?this._createEncoderBuffer(e):this.reporter.error("Encoding of string type: "+t+" unsupported")},f.prototype._encodeObjid=function(e,t,r){if("string"==typeof e){if(!t)return this.reporter.error("string objid given, but no values map found");if(!t.hasOwnProperty(e))return this.reporter.error("objid not found in values map");e=t[e].split(/[\s.]+/g);for(let t=0;t<e.length;t++)e[t]|=0}else if(Array.isArray(e)){e=e.slice();for(let t=0;t<e.length;t++)e[t]|=0}if(!Array.isArray(e))return this.reporter.error("objid() should be either array or string, got: "+JSON.stringify(e));if(!r){if(e[1]>=40)return this.reporter.error("Second objid identifier OOB");e.splice(0,2,40*e[0]+e[1])}let i=0;for(let t=0;t<e.length;t++){let r=e[t];for(i++;r>=128;r>>=7)i++}const a=n.alloc(i);let o=a.length-1;for(let t=e.length-1;t>=0;t--){let r=e[t];for(a[o--]=127&r;(r>>=7)>0;)a[o--]=128|127&r}return this._createEncoderBuffer(a)},f.prototype._encodeTime=function(e,t){let r;const i=new Date(e);return"gentime"===t?r=[c(i.getUTCFullYear()),c(i.getUTCMonth()+1),c(i.getUTCDate()),c(i.getUTCHours()),c(i.getUTCMinutes()),c(i.getUTCSeconds()),"Z"].join(""):"utctime"===t?r=[c(i.getUTCFullYear()%100),c(i.getUTCMonth()+1),c(i.getUTCDate()),c(i.getUTCHours()),c(i.getUTCMinutes()),c(i.getUTCSeconds()),"Z"].join(""):this.reporter.error("Encoding "+t+" time is not supported yet"),this._encodeStr(r,"octstr")},f.prototype._encodeNull=function(){return this._createEncoderBuffer("")},f.prototype._encodeInt=function(e,t){if("string"==typeof e){if(!t)return this.reporter.error("String int or enum given, but no values map");if(!t.hasOwnProperty(e))return this.reporter.error("Values map doesn't contain: "+JSON.stringify(e));e=t[e]}if("number"!=typeof e&&!n.isBuffer(e)){const t=e.toArray();!e.sign&&128&t[0]&&t.unshift(0),e=n.from(t)}if(n.isBuffer(e)){let t=e.length;0===e.length&&t++;const r=n.alloc(t);return e.copy(r),0===e.length&&(r[0]=0),this._createEncoderBuffer(r)}if(e<128)return this._createEncoderBuffer(e);if(e<256)return this._createEncoderBuffer([0,e]);let r=1;for(let t=e;t>=256;t>>=8)r++;const i=new Array(r);for(let t=i.length-1;t>=0;t--)i[t]=255&e,e>>=8;return 128&i[0]&&i.unshift(0),this._createEncoderBuffer(n.from(i))},f.prototype._encodeBool=function(e){return this._createEncoderBuffer(e?255:0)},f.prototype._use=function(e,t){return"function"==typeof e&&(e=e(t)),e._getEncoder("der").tree},f.prototype._skipDefault=function(e,t,r){const i=this._baseState;let n;if(null===i.default)return!1;const a=e.join();if(void 0===i.defaultBuffer&&(i.defaultBuffer=this._encodeValue(i.default,t,r).join()),a.length!==i.defaultBuffer.length)return!1;for(n=0;n<a.length;n++)if(a[n]!==i.defaultBuffer[n])return!1;return!0}},function(e,t,r){"use strict";const i=t;i.der=r(103),i.pem=r(206)},function(e,t,r){"use strict";const i=r(0),n=r(4),a=r(25).DecoderBuffer,o=r(52),s=r(54);function f(e){this.enc="der",this.name=e.name,this.entity=e,this.tree=new c,this.tree._init(e.body)}function c(e){o.call(this,"der",e)}function d(e,t){let r=e.readUInt8(t);if(e.isError(r))return r;const i=s.tagClass[r>>6],n=0==(32&r);if(31==(31&r)){let i=r;for(r=0;128==(128&i);){if(i=e.readUInt8(t),e.isError(i))return i;r<<=7,r|=127&i}}else r&=31;return{cls:i,primitive:n,tag:r,tagStr:s.tag[r]}}function u(e,t,r){let i=e.readUInt8(r);if(e.isError(i))return i;if(!t&&128===i)return null;if(0==(128&i))return i;const n=127&i;if(n>4)return e.error("length octect is too long");i=0;for(let t=0;t<n;t++){i<<=8;const t=e.readUInt8(r);if(e.isError(t))return t;i|=t}return i}e.exports=f,f.prototype.decode=function(e,t){return a.isDecoderBuffer(e)||(e=new a(e,t)),this.tree._decode(e,t)},i(c,o),c.prototype._peekTag=function(e,t,r){if(e.isEmpty())return!1;const i=e.save(),n=d(e,'Failed to peek tag: "'+t+'"');return e.isError(n)?n:(e.restore(i),n.tag===t||n.tagStr===t||n.tagStr+"of"===t||r)},c.prototype._decodeTag=function(e,t,r){const i=d(e,'Failed to decode tag of "'+t+'"');if(e.isError(i))return i;let n=u(e,i.primitive,'Failed to get length of "'+t+'"');if(e.isError(n))return n;if(!r&&i.tag!==t&&i.tagStr!==t&&i.tagStr+"of"!==t)return e.error('Failed to match tag: "'+t+'"');if(i.primitive||null!==n)return e.skip(n,'Failed to match body of: "'+t+'"');const a=e.save(),o=this._skipUntilEnd(e,'Failed to skip indefinite length body: "'+this.tag+'"');return e.isError(o)?o:(n=e.offset-a.offset,e.restore(a),e.skip(n,'Failed to match body of: "'+t+'"'))},c.prototype._skipUntilEnd=function(e,t){for(;;){const r=d(e,t);if(e.isError(r))return r;const i=u(e,r.primitive,t);if(e.isError(i))return i;let n;if(n=r.primitive||null!==i?e.skip(i):this._skipUntilEnd(e,t),e.isError(n))return n;if("end"===r.tagStr)break}},c.prototype._decodeList=function(e,t,r,i){const n=[];for(;!e.isEmpty();){const t=this._peekTag(e,"end");if(e.isError(t))return t;const a=r.decode(e,"der",i);if(e.isError(a)&&t)break;n.push(a)}return n},c.prototype._decodeStr=function(e,t){if("bitstr"===t){const t=e.readUInt8();return e.isError(t)?t:{unused:t,data:e.raw()}}if("bmpstr"===t){const t=e.raw();if(t.length%2==1)return e.error("Decoding of string type: bmpstr length mismatch");let r="";for(let e=0;e<t.length/2;e++)r+=String.fromCharCode(t.readUInt16BE(2*e));return r}if("numstr"===t){const t=e.raw().toString("ascii");return this._isNumstr(t)?t:e.error("Decoding of string type: numstr unsupported characters")}if("octstr"===t)return e.raw();if("objDesc"===t)return e.raw();if("printstr"===t){const t=e.raw().toString("ascii");return this._isPrintstr(t)?t:e.error("Decoding of string type: printstr unsupported characters")}return/str$/.test(t)?e.raw().toString():e.error("Decoding of string type: "+t+" unsupported")},c.prototype._decodeObjid=function(e,t,r){let i;const n=[];let a=0,o=0;for(;!e.isEmpty();)o=e.readUInt8(),a<<=7,a|=127&o,0==(128&o)&&(n.push(a),a=0);128&o&&n.push(a);const s=n[0]/40|0,f=n[0]%40;if(i=r?n:[s,f].concat(n.slice(1)),t){let e=t[i.join(" ")];void 0===e&&(e=t[i.join(".")]),void 0!==e&&(i=e)}return i},c.prototype._decodeTime=function(e,t){const r=e.raw().toString();let i,n,a,o,s,f;if("gentime"===t)i=0|r.slice(0,4),n=0|r.slice(4,6),a=0|r.slice(6,8),o=0|r.slice(8,10),s=0|r.slice(10,12),f=0|r.slice(12,14);else{if("utctime"!==t)return e.error("Decoding "+t+" time is not supported yet");i=0|r.slice(0,2),n=0|r.slice(2,4),a=0|r.slice(4,6),o=0|r.slice(6,8),s=0|r.slice(8,10),f=0|r.slice(10,12),i=i<70?2e3+i:1900+i}return Date.UTC(i,n-1,a,o,s,f,0)},c.prototype._decodeNull=function(){return null},c.prototype._decodeBool=function(e){const t=e.readUInt8();return e.isError(t)?t:0!==t},c.prototype._decodeInt=function(e,t){const r=e.raw();let i=new n(r);return t&&(i=t[i.toString(10)]||i),i},c.prototype._use=function(e,t){return"function"==typeof e&&(e=e(t)),e._getDecoder("der").tree}},function(e){e.exports=JSON.parse('{"1.3.132.0.10":"secp256k1","1.3.132.0.33":"p224","1.2.840.10045.3.1.1":"p192","1.2.840.10045.3.1.7":"p256","1.3.132.0.34":"p384","1.3.132.0.35":"p521"}')},function(e,t,r){var i=r(11),n=r(1).Buffer;function a(e){var t=n.allocUnsafe(4);return t.writeUInt32BE(e,0),t}e.exports=function(e,t){for(var r,o=n.alloc(0),s=0;o.length<t;)r=a(s++),o=n.concat([o,i("sha1").update(e).update(r).digest()]);return o.slice(0,t)}},function(e,t){e.exports=function(e,t){for(var r=e.length,i=-1;++i<r;)e[i]^=t[i];return e}},function(e,t,r){var i=r(4),n=r(1).Buffer;e.exports=function(e,t){return n.from(e.toRed(i.mont(t.modulus)).redPow(new i(t.publicExponent)).fromRed().toArray())}},function(e,t,r){"use strict";(function(t){
/*!
 * batch-rng.js - batch rng for bcrypto
 * Copyright (c) 2019-2020, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on ElementsProject/secp256k1-zkp:
 *   Copyright (c) 2013, Pieter Wuille.
 *   https://github.com/ElementsProject/secp256k1-zkp
 *
 * Resources:
 *   https://github.com/ElementsProject/secp256k1-zkp/blob/11af701/src/modules/schnorrsig/main_impl.h#L166
 *   https://github.com/ElementsProject/secp256k1-zkp/blob/11af701/src/scalar_4x64_impl.h#L972
 *   https://github.com/ElementsProject/secp256k1-zkp/blob/11af701/src/scalar_8x32_impl.h#L747
 */
const i=r(8),n=r(21),a=r(222),o=r(110);e.exports=class{constructor(e,r=(e=>e)){this.curve=e,this.encode=r,this.hash=new o,this.chacha=new a,this.key=t.alloc(32,0),this.iv=t.alloc(8,0),this.cache=[new n(1),new n(1)]}init(e){i(Array.isArray(e)),this.hash.init();for(const[t,r,i]of e)this.hash.update(o.digest(t)),this.hash.update(r),this.hash.update(this.encode(i));return this.key=this.hash.final(),this.cache[0]=new n(1),this.cache[1]=new n(1),this}encrypt(e){const r=2*this.curve.scalarSize,i=t.alloc(r,0),n=i.slice(0,this.curve.scalarSize),a=i.slice(this.curve.scalarSize);return this.chacha.init(this.key,this.iv,e),this.chacha.encrypt(i),[this.curve.decodeScalar(n),this.curve.decodeScalar(a)]}refresh(e){let t=0;for(;;){this.iv[4]=t,this.iv[5]=t>>>8,this.iv[6]=t>>>16,this.iv[7]=t>>>24,t+=1;const[r,i]=this.encrypt(e);if(!(r.isZero()||r.cmp(this.curve.n)>=0)&&!(i.isZero()||i.cmp(this.curve.n)>=0)){this.cache[0]=r,this.cache[1]=i;break}}}generate(e){return i(e>>>0===e),1&e&&this.refresh(e>>>1),this.cache[1&e]}}}).call(this,r(2).Buffer)},function(e,t,r){"use strict";
/*!
 * custom.js - custom inspect symbol for bcrypto
 * Copyright (c) 2018-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */t.custom="inspect"},function(e,t,r){"use strict";
/*!
 * sha256.js - sha256 for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(224)},function(e,t,r){"use strict";(function(t){
/*!
 * hmac.js - hmac for bcrypto
 * Copyright (c) 2016-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/hash.js:
 *   Copyright (c) 2014, Fedor Indutny (MIT License).
 *   https://github.com/indutny/hash.js
 *
 * Resources:
 *   https://en.wikipedia.org/wiki/HMAC
 *   https://tools.ietf.org/html/rfc2104
 *   https://github.com/indutny/hash.js/blob/master/lib/hash/hmac.js
 */
const i=r(8);e.exports=class{constructor(e,t,r=[],n=[]){i("function"==typeof e),i(t>>>0===t),i(Array.isArray(r)),i(Array.isArray(n)),this.hash=e,this.size=t,this.x=r,this.y=n,this.inner=new e,this.outer=new e}init(e){if(i(t.isBuffer(e)),e.length>this.size){const t=new(0,this.hash);t.init(...this.x),t.update(e),e=t.final(...this.y),i(e.length<=this.size)}const r=t.alloc(this.size);for(let t=0;t<e.length;t++)r[t]=54^e[t];for(let t=e.length;t<r.length;t++)r[t]=54;this.inner.init(...this.x),this.inner.update(r);for(let t=0;t<e.length;t++)r[t]=92^e[t];for(let t=e.length;t<r.length;t++)r[t]=92;return this.outer.init(...this.x),this.outer.update(r),this}update(e){return this.inner.update(e),this}final(){return this.outer.update(this.inner.final(...this.y)),this.outer.final(...this.y)}}}).call(this,r(2).Buffer)},function(e,t,r){"use strict";(function(e){
/*!
 * elliptic.js - elliptic curves for bcrypto
 * Copyright (c) 2018-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/elliptic:
 *   Copyright (c) 2014, Fedor Indutny (MIT License).
 *   https://github.com/indutny/elliptic
 *
 * Formulas from DJB and Tanja Lange [EFD].
 *
 * References:
 *
 *   [GECC] Guide to Elliptic Curve Cryptography
 *     D. Hankerson, A. Menezes, and S. Vanstone
 *     https://tinyurl.com/guide-to-ecc
 *
 *   [GLV] Faster Point Multiplication on Elliptic Curves
 *     R. Gallant, R. Lambert, and S. Vanstone
 *     https://link.springer.com/content/pdf/10.1007/3-540-44647-8_11.pdf
 *
 *   [MONT1] Montgomery curves and the Montgomery ladder
 *     Daniel J. Bernstein, Tanja Lange
 *     https://eprint.iacr.org/2017/293.pdf
 *
 *   [SQUARED] Elligator Squared
 *     Mehdi Tibouchi
 *     https://eprint.iacr.org/2014/043.pdf
 *
 *   [SEC1] SEC 1 - Standards for Efficient Cryptography Group
 *     Certicom Research
 *     https://www.secg.org/sec1-v2.pdf
 *
 *   [SEC2] SEC 2: Recommended Elliptic Curve Domain Parameters
 *     Certicom Research
 *     https://www.secg.org/sec2-v2.pdf
 *
 *   [SIDE1] Elliptic Curves and Side-Channel Attacks
 *     Marc Joye
 *     https://pdfs.semanticscholar.org/8d69/9645033e25d74fcfd4cbf07a770d2e943e14.pdf
 *
 *   [BLIND] Side-Channel Analysis on Blinding Regular Scalar Multiplications
 *     B. Feix, M. Roussellet, A. Venelli
 *     https://eprint.iacr.org/2014/191.pdf
 *
 *   [ALT] Alternative Elliptic Curve Representations
 *     R. Struik
 *     https://tools.ietf.org/id/draft-ietf-lwig-curve-representations-02.html
 *
 *   [ARITH1] Arithmetic of Elliptic Curves
 *     Christophe Doche, Tanja Lange
 *     Handbook of Elliptic and Hyperelliptic Curve Cryptography
 *     Page 267, Section 13 (978-1-58488-518-4)
 *     https://hyperelliptic.org/HEHCC/index.html
 *
 *   [ARITH2] The Arithmetic of Elliptic Curves, 2nd Edition
 *     Joseph H. Silverman
 *     http://www.pdmi.ras.ru/~lowdimma/BSD/Silverman-Arithmetic_of_EC.pdf
 *
 *   [EFD] Explicit-Formulas Database
 *     Daniel J. Bernstein, Tanja Lange
 *     https://hyperelliptic.org/EFD/index.html
 *
 *   [SAFE] SafeCurves: choosing safe curves for elliptic-curve cryptography
 *     Daniel J. Bernstein
 *     https://safecurves.cr.yp.to/
 *
 *   [4GLV] Refinement of the Four-Dimensional GLV Method on Elliptic Curves
 *     Hairong Yi, Yuqing Zhu, and Dongdai Lin
 *     http://www.site.uottawa.ca/~cadams/papers/prepro/paper_19_slides.pdf
 *
 *   [SSWU1] Efficient Indifferentiable Hashing into Ordinary Elliptic Curves
 *     E. Brier, J. Coron, T. Icart, D. Madore, H. Randriam, M. Tibouchi
 *     https://eprint.iacr.org/2009/340.pdf
 *
 *   [SSWU2] Rational points on certain hyperelliptic curves over finite fields
 *     Maciej Ulas
 *     https://arxiv.org/abs/0706.1448
 *
 *   [H2EC] Hashing to Elliptic Curves
 *     A. Faz-Hernandez, S. Scott, N. Sullivan, R. S. Wahby, C. A. Wood
 *     https://git.io/JeWz6
 *     https://github.com/cfrg/draft-irtf-cfrg-hash-to-curve
 *
 *   [SVDW1] Construction of Rational Points on Elliptic Curves
 *     A. Shallue, C. E. van de Woestijne
 *     https://works.bepress.com/andrew_shallue/1/download/
 *
 *   [SVDW2] Indifferentiable Hashing to Barreto-Naehrig Curves
 *     Pierre-Alain Fouque, Mehdi Tibouchi
 *     https://www.di.ens.fr/~fouque/pub/latincrypt12.pdf
 *
 *   [SVDW3] Covert ECDH over secp256k1
 *     Pieter Wuille
 *     https://gist.github.com/sipa/29118d3fcfac69f9930d57433316c039
 *
 *   [MONT2] Montgomery Curve (wikipedia)
 *     https://en.wikipedia.org/wiki/Montgomery_curve
 *
 *   [MONT3] Montgomery Curves and their arithmetic
 *     C. Costello, B. Smith
 *     https://eprint.iacr.org/2017/212.pdf
 *
 *   [ELL2] Elliptic-curve points indistinguishable from uniform random strings
 *     D. Bernstein, M. Hamburg, A. Krasnova, T. Lange
 *     https://elligator.cr.yp.to/elligator-20130828.pdf
 *
 *   [RFC7748] Elliptic Curves for Security
 *     A. Langley, M. Hamburg, S. Turner
 *     https://tools.ietf.org/html/rfc7748
 *
 *   [TWISTED] Twisted Edwards Curves
 *     D. Bernstein, P. Birkner, M. Joye, T. Lange, C. Peters
 *     https://eprint.iacr.org/2008/013.pdf
 *
 *   [ELL1] Injective Encodings to Elliptic Curves
 *     P. Fouque, A. Joux, M. Tibouchi
 *     https://eprint.iacr.org/2013/373.pdf
 *
 *   [ISOGENY] Twisting Edwards curves with isogenies
 *     Mike Hamburg
 *     https://www.shiftleft.org/papers/isogeny/isogeny.pdf
 *
 *   [RFC8032] Edwards-Curve Digital Signature Algorithm (EdDSA)
 *     S. Josefsson, SJD AB, I. Liusvaara
 *     https://tools.ietf.org/html/rfc8032
 *
 *   [SCHNORR] Schnorr Signatures for secp256k1
 *     Pieter Wuille
 *     https://github.com/sipa/bips/blob/d194620/bip-schnorr.mediawiki
 *
 *   [BIP340] Schnorr Signatures for secp256k1
 *     Pieter Wuille, Jonas Nick, Tim Ruffing
 *     https://github.com/bitcoin/bips/blob/master/bip-0340.mediawiki
 *
 *   [JCEN12] Efficient Software Implementation of Public-Key Cryptography
 *            on Sensor Networks Using the MSP430X Microcontroller
 *     C. P. L. Gouvea, L. B. Oliveira, J. Lopez
 *     http://conradoplg.cryptoland.net/files/2010/12/jcen12.pdf
 *
 *   [FIPS186] Federal Information Processing Standards Publication
 *     National Institute of Standards and Technology
 *     https://tinyurl.com/fips-186-3
 *
 *   [RFC5639] Elliptic Curve Cryptography (ECC) Brainpool
 *             Standard Curves and Curve Generation
 *     M. Lochter, BSI, J. Merkle
 *     https://tools.ietf.org/html/rfc5639
 *
 *   [TWISTEQ] Twisted Edwards & Short Weierstrass Equivalence
 *     Christopher Jeffrey
 *     https://gist.github.com/chjj/16ba7fa08d64e8dda269a9fe5b2a8bbc
 *
 *   [ECPM] Elliptic Curve Point Multiplication (wikipedia)
 *     https://en.wikipedia.org/wiki/Elliptic_curve_point_multiplication
 */
const{custom:i}=r(109),n=r(21),a=0,o=1,s=2,f=3,c=[-3,-1,-5,-7,0,7,5,1,3];let d=0;class u{constructor(e,t,r){this.Point=null,this.id=null,this.uid=d++,this.ossl=null,this.type="base",this.endian="be",this.hash=null,this.prefix=null,this.context=!1,this.prime=null,this.p=null,this.red=null,this.fieldSize=0,this.fieldBits=0,this.adjustedSize=0,this.signBit=0,this.mask=0,this.n=null,this.h=null,this.q=null,this.z=null,this.g=null,this.nh=null,this.scalarSize=0,this.scalarBits=0,this.zero=null,this.one=null,this.two=null,this.three=null,this.four=null,this.i2=null,this.i3=null,this.i4=null,this.i6=null,this.torsion=null,this.endo=null,this.hi=null,this._init(e,t,r)}_init(t,r,i){j("function"==typeof t),j("string"==typeof r),j(i&&"object"==typeof i),j(null==i.red||i.red instanceof n.Red),j(null!=i.p,"Must pass a prime."),j(null==i.id||"string"==typeof i.id),j(null==i.ossl||"string"==typeof i.ossl),j(null==i.endian||"string"==typeof i.endian),j(null==i.hash||"string"==typeof i.hash),j(null==i.prefix||"string"==typeof i.prefix),j(null==i.context||"boolean"==typeof i.context),j(null==i.prime||"string"==typeof i.prime),j(null==i.torsion||Array.isArray(i.torsion)),this.Point=t,this.id=i.id||null,this.ossl=i.ossl||null,this.type=r,this.endian=i.endian||("short"===r?"be":"le"),this.hash=i.hash||null,this.prefix=i.prefix?e.from(i.prefix,"binary"):null,this.context=i.context||!1,this.prime=i.prime||null,this.p=n.fromJSON(i.p),i.red?this.red=i.red:(this.red=i.prime?n.red(i.prime):n.mont(this.p),this.red.precompute()),this.fieldSize=this.p.byteLength(),this.fieldBits=this.p.bitLength(),this.adjustedSize=this.fieldSize+(0==(7&this.fieldBits)),this.signBit=8*this.adjustedSize-1,this.mask=255,0!=(7&this.fieldBits)&&(this.mask=(1<<(7&this.fieldBits))-1),this.n=n.fromJSON(i.n||"0"),this.h=n.fromJSON(i.h||"1"),this.q=this.n.mul(this.h),this.z=n.fromJSON(i.z||"0").toRed(this.red),this.g=null,this.nh=this.n.ushrn(1),this.scalarSize=this.n.byteLength(),this.scalarBits=this.n.bitLength(),this.zero=new n(0).toRed(this.red),this.one=new n(1).toRed(this.red),this.two=new n(2).toRed(this.red),this.three=new n(3).toRed(this.red),this.four=new n(4).toRed(this.red),this.i2=this.two.redInvert(),this.i3=this.three.redInvert(),this.i4=this.i2.redSqr(),this.i6=this.i2.redMul(this.i3),this.torsion=new Array(this.h.word(0));for(let e=0;e<this.torsion.length;e++)this.torsion[e]=this.point();return this.endo=null,this.hi=null,this._scale=P(this._scale,this),this.isIsomorphic=P(this.isIsomorphic,this),this.isIsogenous=P(this.isIsogenous,this),j(this.p.sign()>0&&this.p.isOdd()),j(this.n.sign()>=0),j(this.h.sign()>0&&this.h.cmpn(255)<=0),j("be"===this.endian||"le"===this.endian),this}_finalize(e){if(j(e&&"object"==typeof e),this.g=e.g?this.pointFromJSON(e.g):this.point(),e.torsion){j(e.torsion.length===this.torsion.length);for(let t=0;t<this.torsion.length;t++)this.torsion[t]=this.pointFromJSON(e.torsion[t])}return this}_findTorsion(){j(!this.n.isZero());const e=this.h.word(0),t=this.one.redNeg(),r=[this.point()],i=new Set;let n=e;for(;r.length<n;){let e;t.redIAdd(this.one);try{e=this.pointFromX(t.clone())}catch(e){continue}try{e=e.mul(this.n)}catch(e){n=2;continue}if(!e.isInfinity()){e.normalize();for(const t of[e,e.neg()]){const e=t.key();i.has(e)||(r.push(t),i.add(e))}}}for(r.sort((e,t)=>e.cmp(t));r.length<e;)r.push(this.point());return r}_fixedMul(e,t){j(e instanceof h),j(t instanceof n),j(e.pre&&e.pre.windows);const{width:r,points:i}=e._getWindows(0,0),a=1<<r,o=(t.bitLength()+r-1)/r>>>0;let s=this.jpoint();for(let e=0;e<o;e++){const n=t.bits(e*r,r);s=s.add(i[e*a+n])}return t.isNeg()&&(s=s.neg()),s}_fixedNafMul(e,t){j(e instanceof h),j(t instanceof n),j(e.pre&&e.pre.doubles);const{step:r,points:i}=e._getDoubles(0,0),a=function(e,t,r,i){j(i>>>0===i);const n=q(e,t,r),a=Math.ceil(n.length/i),o=new Array(a);let s=0;for(let e=0;e<n.length;e+=i){let t=0;for(let r=e+i-1;r>=e;r--)t=(t<<1)+n[r];o[s++]=t}return j(s===a),o}(t,2,t.bitLength()+1,r),o=((1<<r+1)-(r%2==0?2:1))/3;let s=this.jpoint(),f=this.jpoint();for(let e=o;e>0;e--){for(let t=0;t<a.length;t++){const r=a[t];r===e?f=f.add(i[t]):r===-e&&(f=f.sub(i[t]))}s=s.add(f)}return s}_wnafMul(e,t,r){j(t instanceof h),j(r instanceof n);const{width:i,points:a}=t._safeNAF(e),o=q(r,i,r.bitLength()+1);let s=this.jpoint();for(let e=o.length-1;e>=0;e--){const t=o[e];e!==o.length-1&&(s=s.dbl()),t>0?s=s.add(a[t-1>>1]):t<0&&(s=s.sub(a[-t-1>>1]))}return s}_wnafMulAdd(e,t,r){j(e>>>0===e),j(Array.isArray(t)),j(Array.isArray(r)),j(t.length===r.length);const i=t.length,a=new Array(i),o=new Array(i);let s=0;for(let e=0;e<i;e++){const i=t[e],f=r[e];if(j(i instanceof h),j(f instanceof n),e>0&&i.type!==t[e-1].type)throw new Error("Cannot mix points.");a[e]=null,o[e]=null,s=Math.max(s,f.bitLength()+1)}let f=null,c=null,d=0;for(let e=0;e<i;e++){const i=t[e],n=r[e],u=i._getNAF(0);u?(a[d]=u.points,o[d]=q(n,u.width,s),d+=1):f?(a[d]=f._getJNAF(i),o[d]=R(c,n,s),f=null,c=null,d+=1):(f=i,c=n)}if(f){const t=f._safeNAF(e);a[d]=t.points,o[d]=q(c,t.width,s),d+=1}let u=this.jpoint();for(let e=s-1;e>=0;e--){e!==s-1&&(u=u.dbl());for(let t=0;t<d;t++){const r=o[t][e];r>0?u=u.add(a[t][r-1>>1]):r<0&&(u=u.sub(a[t][-r-1>>1]))}}return u}_endoWnafMulAdd(e,t){throw new Error("Not implemented.")}_scale(e,t){switch(j(e instanceof u),j(e.p.eq(this.p)),e.type){case"short":return this._scaleShort(e,t);case"mont":return this._scaleMont(e,t);case"edwards":return this._scaleEdwards(e,t);default:throw new Error("Not implemented.")}}_scaleShort(e,t){throw new Error("Not implemented.")}_scaleMont(e,t){throw new Error("Not implemented.")}_scaleEdwards(e,t){throw new Error("Not implemented.")}isElliptic(){throw new Error("Not implemented.")}jinv(){throw new Error("Not implemented.")}isComplete(){return!1}precompute(e){return j(!this.g.isInfinity(),"Must have base point."),j(!this.n.isZero(),"Must have order."),this.g.precompute(this.n.bitLength(),e),this}scalar(e,t,r){const i=new n(e,t,r);return j(!i.red),this.n.isZero()?i:i.imod(this.n)}field(e,t,r){const i=n.cast(e,t,r);return i.red?i.forceRed(this.red):i.toRed(this.red)}point(e,t){throw new Error("Not implemented.")}jpoint(e,t,r){throw new Error("Not implemented.")}xpoint(e,t){throw new Error("Not implemented.")}cpoint(e,t,r,i){if(j(e instanceof n),j(t instanceof n),j(r instanceof n),j(i instanceof n),t.isZero()||i.isZero())return this.point();const a=t.redMul(i).redInvert(),o=e.redMul(i).redMul(a),s=r.redMul(t).redMul(a);return this.point(o,s)}solveX2(e){throw new Error("Not implemented.")}solveX(e){return this.solveX2(e).redSqrt()}solveY2(e){throw new Error("Not implemented.")}solveY(e){return this.solveY2(e).redSqrt()}validate(e){throw new Error("Not implemented.")}pointFromX(e,t){throw new Error("Not implemented.")}pointFromY(e,t){throw new Error("Not implemented.")}isIsomorphic(e){throw new Error("Not implemented.")}isIsogenous(e){throw new Error("Not implemented.")}pointFromShort(e){throw new Error("Not implemented.")}pointFromMont(e,t){throw new Error("Not implemented.")}pointFromEdwards(e){throw new Error("Not implemented.")}pointFromUniform(e){throw new Error("Not implemented.")}pointToUniform(e){throw new Error("Not implemented.")}pointFromHash(t,r=!1){if(j(e.isBuffer(t)),j("boolean"==typeof r),t.length!==2*this.fieldSize)throw new Error("Invalid hash size.");const i=t.slice(0,this.fieldSize),n=t.slice(this.fieldSize),a=this.decodeUniform(i),o=this.decodeUniform(n),s=this.pointFromUniform(a),f=this.pointFromUniform(o),c=s.add(f);return r?c.mulH():c}pointToHash(t,r,i){j(t instanceof this.Point),j(r>>>0===r);const n=r%this.torsion.length,a=t.add(this.torsion[n]);for(;;){const t=this.randomField(i),r=this.pointFromUniform(t);if(r.neg().eq(r))continue;const n=a.sub(r),o=T(i);let s;try{s=this.pointToUniform(n,15&o)}catch(e){if("Invalid point."===e.message)continue;throw e}const f=this.encodeUniform(t,o>>>8),c=this.encodeUniform(s,o>>>16);return e.concat([f,c])}}randomScalar(e){const t=this.n.isZero()?this.p:this.n;return n.random(e,1,t)}randomField(e){return n.random(e,1,this.p).toRed(this.red)}randomPoint(e){let t;for(;;){const r=this.randomField(e),i=0!=(1&T(e));try{t=this.pointFromX(r,i)}catch(e){continue}return j(t.validate()),t.mulH()}}mulAll(e,t){return this.jmulAll(e,t)}jmulAll(e,t){return j(Array.isArray(e)),j(0===e.length||e[0]instanceof h),this.endo&&e.length>0&&e[0].type===a?this._endoWnafMulAdd(e,t):this._wnafMulAdd(5,e,t)}mulH(e){return j(e instanceof n),this.imulH(e.clone())}imulH(e){j(e instanceof n),j(!e.red);const t=this.h.word(0);if(0==(t&t-1)){const t=this.h.bitLength();return e.iushln(t-1).imod(this.n)}return e.imuln(t).imod(this.n)}normalizeAll(e){j(Array.isArray(e));const t=e.length,r=new Array(t);for(let i=0;i<t;i++){const t=e[i];j(t instanceof h),j(t.curve===this),t.type!==a?r[i]=t.z:r[i]=this.one}const i=this.red.invertAll(r),n=new Array(t);for(let r=0;r<t;r++)n[r]=e[r].scale(i[r]);return n}affinizeAll(e){return this.normalizeAll(e)}clamp(t){j(e.isBuffer(t)),j(t.length===this.scalarSize),j(this.scalarSize<=this.fieldSize);let r=7&this.fieldBits||8,i=0,n=this.scalarSize-1;return"be"===this.endian&&([i,n]=[n,i]),this.scalarSize<this.fieldSize&&(r=8),t[i]&=255&-this.h.word(0),t[n]&=(1<<r)-1,t[n]|=1<<r-1,t}splitHash(t){j(e.isBuffer(t)),j(t.length===2*this.adjustedSize),j(this.scalarSize<=this.adjustedSize);let r=0;"be"===this.endian&&(r=this.adjustedSize-this.scalarSize);const i=t.slice(r,r+this.scalarSize),n=t.slice(this.adjustedSize);return this.clamp(i),[i,n]}encodeField(e){return j(e instanceof n),j(!e.red),e.encode(this.endian,this.fieldSize)}decodeField(t){if(j(e.isBuffer(t)),t.length!==this.fieldSize)throw new Error("Invalid field element size.");return n.decode(t,this.endian)}encodeAdjusted(e){return j(e instanceof n),j(!e.red),e.encode(this.endian,this.adjustedSize)}decodeAdjusted(t){if(j(e.isBuffer(t)),t.length!==this.adjustedSize)throw new Error("Invalid field element size.");return n.decode(t,this.endian)}encodeScalar(e){return j(e instanceof n),j(!e.red),e.encode(this.endian,this.scalarSize)}decodeScalar(t){if(j(e.isBuffer(t)),t.length!==this.scalarSize)throw new Error("Invalid scalar size.");return n.decode(t,this.endian)}encodeClamped(e){return this.clamp(this.encodeScalar(e))}decodeClamped(t){if(j(e.isBuffer(t)),t.length!==this.scalarSize)throw new Error("Invalid scalar size.");const r=this.clamp(e.from(t));return n.decode(r,this.endian)}encodeUniform(e,t){j(e instanceof n),j(t>>>0===t);const r="le"===this.endian?this.fieldSize-1:0,i=e.fromRed().encode(this.endian,this.fieldSize);return i[r]|=t&~this.mask&255,i}decodeUniform(t){if(j(e.isBuffer(t)),t.length!==this.fieldSize)throw new Error("Invalid field size.");const r=n.decode(t,this.endian);return r.iumaskn(this.fieldBits),r.toRed(this.red)}encodePoint(e,t){return j(e instanceof h),e.encode(t)}decodePoint(e){throw new Error("Not implemented.")}encodeX(e){throw new Error("Not implemented.")}decodeX(e){throw new Error("Not implemented.")}decodeEven(e){throw new Error("Not implemented.")}decodeSquare(e){throw new Error("Not implemented.")}toShort(){throw new Error("Not implemented.")}toMont(e){throw new Error("Not implemented.")}toEdwards(e){throw new Error("Not implemented.")}pointToJSON(e,t){return j(e instanceof h),e.toJSON(t)}pointFromJSON(e){throw new Error("Not implemented.")}toJSON(e){let t,r,i,n,a;return"edwards"===this.type&&(t=this.prefix?this.prefix.toString():null,r=this.context),this.n.isZero()||(i=this.n.toJSON()),this.z.isZero()||(n=this.z.fromRed(),this.z.redIsHigh()&&n.isub(this.p),n=n.toString(16)),this.endo&&(a=this.endo.toJSON()),{id:this.id,ossl:this.ossl,type:this.type,endian:this.endian,hash:this.hash,prefix:t,context:r,prime:this.prime,p:this.p.toJSON(),a:void 0,b:void 0,d:void 0,n:i,h:this.h.toString(16),s:void 0,z:n,c:void 0,g:this.g.toJSON(e),endo:a}}static fromJSON(e){return new this(e)}}class h{constructor(e,t){j(e instanceof u),j(t>>>0===t),this.curve=e,this.type=t,this.pre=null}_init(){throw new Error("Not implemented.")}_safeNAF(e){if(j(e>>>0===e),this.pre&&this.pre.naf)return this.pre.naf;if(0===e)return null;const t=1<<e-2,r=new Array(t),i=this.toJ(),n=1===t?null:i.dbl();r[0]=i;for(let e=1;e<t;e++)r[e]=r[e-1].add(n);return new M(e,r)}_getNAF(e){if(j(e>>>0===e),this.pre&&this.pre.naf)return this.pre.naf;if(0===e)return null;const t=this._safeNAF(e).points,r=this.curve.affinizeAll(t);return new M(e,r)}_getWindows(e,t){if(j(e>>>0===e),j(t>>>0===t),this.pre&&this.pre.windows)return this.pre.windows;if(0===e)return null;const r=1<<e,i=(t+e-1)/e>>>0,n=new Array(i*r);let a=this.toJ();for(let t=0;t<i;t++){n[t*r]=this.curve.jpoint();for(let e=1;e<r;e++)n[t*r+e]=n[t*r+e-1].add(a);a=a.dblp(e)}const o=this.curve.affinizeAll(n);return new S(e,t,o)}_getDoubles(e,t){if(j(e>>>0===e),j(t>>>0===t),this.pre&&this.pre.doubles)return this.pre.doubles;if(0===e)return null;const r=Math.ceil(t/e)+1,i=new Array(r);let n=this.toJ(),a=0;i[a++]=n;for(let r=0;r<t;r+=e){for(let t=0;t<e;t++)n=n.dbl();i[a++]=n}j(a===r);const o=this.curve.affinizeAll(i);return new k(e,o)}_getBeta(){return null}_getBlinding(e){if(this.pre&&this.pre.blinding)return this.pre.blinding;if(!e)return null;if(this.curve.n.isZero())return null;const t=this.curve.randomScalar(e),r=this.mul(t);return new E(t,r)}_hasWindows(e){if(j(e instanceof n),!this.pre||!this.pre.windows)return!1;const{width:t,bits:r}=this.pre.windows,i=(r+t-1)/t>>>0;return e.bitLength()<=i*t}_hasDoubles(e){if(j(e instanceof n),!this.pre||!this.pre.doubles)return!1;const{step:t,points:r}=this.pre.doubles,i=e.bitLength()+1;return r.length>=Math.ceil(i/t)+1}_getJNAF(e){return j(e instanceof h),j(e.type===this.type),[this,this.add(e),this.sub(e),e]}_blind(e,t){if(j(e instanceof n),j(!e.red),this.pre&&this.pre.blinding){const{blind:t,unblind:r}=this.pre.blinding;return[this,e.sub(t),r]}if(!t)return[this,e,null];if(this.pre){if(this.curve.n.isZero())return[this,e,null];return[this,this.curve.randomScalar(t).mul(this.curve.n).iadd(e),null]}return[this.randomize(t),e,null]}clone(){throw new Error("Not implemented.")}precompute(e,t){return j(e>>>0===e),this.pre||(this.pre=new _),this.pre.naf||(this.pre.naf=this._getNAF(9)),this.pre.doubles||(this.pre.doubles=this._getDoubles(4,e+1)),this.pre.beta||(this.pre.beta=this._getBeta()),this.pre.blinding||(this.pre.blinding=this._getBlinding(t)),this}validate(){return this.curve.validate(this)}normalize(){return this}scale(e){throw new Error("Not implemented.")}randomize(e){const t=this.curve.randomField(e);return this.scale(t)}neg(){throw new Error("Not implemented.")}add(e){throw new Error("Not implemented.")}sub(e){return j(e instanceof h),this.add(e.neg())}dbl(){throw new Error("Not implemented.")}dblp(e){j(e>>>0===e);let t=this;for(let r=0;r<e;r++)t=t.dbl();return t}diffAddDbl(e,t){throw new Error("Not implemented.")}getX(){throw new Error("Not implemented.")}getY(){throw new Error("Not implemented.")}eq(e){throw new Error("Not implemented.")}cmp(e){throw new Error("Not implemented.")}isInfinity(){throw new Error("Not implemented.")}isOrder2(){throw new Error("Not implemented.")}isOdd(){throw new Error("Not implemented.")}isEven(){throw new Error("Not implemented.")}isSquare(){throw new Error("Not implemented.")}eqX(e){throw new Error("Not implemented.")}eqR(e){throw new Error("Not implemented.")}isSmall(){return!this.isInfinity()&&this.jmulH().isInfinity()}hasTorsion(){return!this.isInfinity()&&!this.jmul(this.curve.n).isInfinity()}order(){const{h:e,n:t}=this.curve;let r=this.toJ(),i=new n(1);for(;!r.isInfinity();){if(i.iaddn(1),i.cmp(e)>0){i=t.clone();break}r=r.add(this)}return i}mul(e){return this.jmul(e)}muln(e){return this.jmuln(e)}mulBlind(e,t){return this.jmulBlind(e,t)}mulAdd(e,t,r){return this.jmulAdd(e,t,r)}mulH(){return this.jmulH()}div(e){return this.jdiv(e)}divn(e){return this.jdivn(e)}divH(){return this.jdivH()}jmul(e){return this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve.endo&&this.type===a?this.curve._endoWnafMulAdd([this],[e]):this.curve._wnafMul(5,this,e)}jmuln(e){return j((0|e)===e),this.jmul(new n(e))}jmulBlind(e,t=null){const[r,i,n]=this._blind(e,t),a=r.jmul(i);return n?a.add(n):a}jmulAdd(e,t,r){return this.curve.endo&&this.type===a?this.curve._endoWnafMulAdd([this,t],[e,r]):this.curve._wnafMulAdd(5,[this,t],[e,r])}jmulH(){const e=this.curve.h.word(0);if(0==(e&e-1)){const e=this.curve.h.bitLength();return this.toJ().dblp(e-1)}return this.jmul(this.curve.h)}jdiv(e){return j(e instanceof n),j(!e.red),this.jmul(e.invert(this.curve.n))}jdivn(e){return j(!this.curve.n.isZero()),0===this.curve.h.cmpn(e)?this.jdivH():this.jdiv(new n(e))}jdivH(){return this.curve.n.isZero()||0===this.curve.h.cmpn(1)?this.toJ():(null===this.curve.hi&&(this.curve.hi=this.curve.h.invert(this.curve.n)),this.jmul(this.curve.hi))}toP(){return this.normalize()}toJ(){return this}toX(){return this}key(){if(this.isInfinity())return this.curve.uid+":oo";this.normalize();const e=this.getX().toString(16),t=this.getY().toString(16);return`${this.curve.uid}:${e},${t}`}encode(e){throw new Error("Not implemented.")}static decode(e,t){throw new Error("Not implemented.")}encodeX(){throw new Error("Not implemented.")}static decodeX(e,t){throw new Error("Not implemented.")}static decodeEven(e,t){throw new Error("Not implemented.")}static decodeSquare(e,t){throw new Error("Not implemented.")}toJSON(e){throw new Error("Not implemented.")}static fromJSON(e,t){throw new Error("Not implemented.")}[i](){return"<Point>"}}class l extends u{constructor(e){super(b,"short",e),this.a=n.fromJSON(e.a).toRed(this.red),this.b=n.fromJSON(e.b).toRed(this.red),this.c=n.fromJSON(e.c||"0").toRed(this.red),this.ai=this.a.isZero()?this.zero:this.a.redInvert(),this.zi=this.z.isZero()?this.zero:this.z.redInvert(),this.zeroA=this.a.isZero(),this.threeA=this.a.eq(this.three.redNeg()),this.redN=this.n.toRed(this.red),this.pmodn=this.p.clone(),this.highOrder=this.n.cmp(this.p)>=0,this.smallGap=!1,this._finalize(e)}_finalize(e){return super._finalize(e),null!=e.endo?this.endo=x.fromJSON(this,e.endo):this.endo=this._getEndomorphism(),this.n.isZero()||(this.pmodn=this.p.mod(this.n),this.smallGap=this.p.div(this.n).cmpn(1)<=0),this}static _isomorphism(e,t,r,i){if(j(e instanceof n),j(t instanceof n),j(r instanceof n),j(null==i||"boolean"==typeof i),j(!e.isZero()||!t.isZero()),r.isZero())throw new Error("Invalid coefficient.");if(e.isZero()){const i=r;return j(1===O(i.redDiv(t)).redJacobi()),[e.clone(),i.clone()]}if(t.isZero()){const i=r,n=i.redDiv(e).redSqrt();if(1!==n.redJacobi()&&n.redINeg(),1!==n.redJacobi())throw new Error("Invalid `a` coefficient.");return[i.clone(),t.clone()]}const a=r,o=a.redDiv(e),s=o.redSqrt();if(null!=i?s.redIsOdd()!==i&&s.redINeg():1!==s.redJacobi()&&s.redINeg(),1!==s.redJacobi())throw new Error("Invalid `a` coefficient.");const f=o.redMul(s),c=e.redMul(o),d=t.redMul(f);return j(c.eq(a)),[c,d]}_short(e,t){return l._isomorphism(this.a,this.b,e,t)}_mont(e,t){const[r,i]=this._findRS(t),n=i.redInvert(),a=r.redMuln(3).redMul(n);return null!=e?m._isomorphism(a,n,e):[a,n]}_edwards(e,t){const[r,i]=this._findRS(t),n=r.redMuln(3),a=i.redMuln(2),o=n.redAdd(a),s=n.redSub(a);return null!=e?y._isomorphism(o,s,e):[o,s]}_findRS(e){j(null==e||"boolean"==typeof e),j(this.h.word(0)>=4),j(!this.n.isZero());const t=this.one.redNeg();let r;for(;;){t.redIAdd(this.one);try{r=this.pointFromX(t.clone())}catch(e){continue}if(r=r.mul(this.n),!r.isInfinity()&&r.y.isZero())break}const i=r.x,n=i.redSqr().redMuln(3).redIAdd(this.a).redSqrt();return null!=e&&n.redIsOdd()!==e&&n.redINeg(),[i,n]}_scale0(e,t){if(j(this.a.isZero()===e.isZero()),j(this.b.isZero()===t.isZero()),this.a.isZero()){const e=this.b.redDiv(this.field(t)),r=O(e),i=r.redSqrt(),n=r.redMul(i);return j(n.redSqr().eq(e)),j(!i.isZero()),[r,n]}if(this.b.isZero()){const t=this.a.redDiv(this.field(e)),r=t.redSqrt();1!==r.redJacobi()&&r.redINeg();const i=r.redSqrt(),n=r.redMul(i);return j(n.redMul(i).eq(t)),j(!i.isZero()),[r,n]}const r=this.a.redDiv(this.field(e)),i=this.b.redDiv(this.field(t)),n=r.redSqrt();r.redMul(n).eq(i)||n.redINeg(),j(r.redMul(n).eq(i));const a=n.redSqrt(),o=n.redMul(a);return j(!a.isZero()),[n,o]}_scale1(e,t){const r=this.g.x.redDiv(this.field(e)),i=this.g.y.redDiv(this.field(t)),n=r.redSqrt();return r.redMul(n).eq(i)||n.redINeg(),j(r.redMul(n).eq(i)),j(!n.isZero()),[r,i]}_scaleShort(e){return j(e instanceof l),this.g.isInfinity()||e.g.isInfinity()?this._scale0(e.a,e.b):this._scale1(e.g.x,e.g.y)}_scaleMont(e){if(j(e instanceof m),this.g.isInfinity()||e.g.isInfinity()){const[t,r]=e._short();return this._scale0(t,r)}const{x:t,y:r}=e.g,i=t.redAdd(e.a3).redMul(e.bi),n=r.redMul(e.bi);return this._scale1(i,n)}_scaleEdwards(e){if(j(e instanceof y),this.g.isInfinity()||e.g.isInfinity()){const[t,r]=e._short();return this._scale0(t,r)}const{x:t,y:r,z:i}=e.g,n=e.a.redMuln(5),a=e.d.redMuln(5),o=e.d.redSub(e.a),s=a.redSub(e.a),f=e.d.redSub(n),c=r.redAdd(i),d=r.redSub(i),u=s.redMul(r).redIAdd(f.redMul(i)),h=d.redMuln(12),l=o.redMul(c).redMul(i),b=d.redMul(t).redIMuln(4),p=h.redMul(b).redInvert(),m=u.redMul(b).redMul(p),g=l.redMul(h).redMul(p);return this._scale1(m,g)}_getEndomorphism(e=0){if(this.n.isZero()||this.g.isInfinity())return null;if(!this.zeroA||1!==this.p.modrn(3)||1!==this.n.modrn(3))return null;const[t,r]=this._getEndoRoots(this.p),i=[t,r][1&e].toRed(this.red),[n,a]=this._getEndoRoots(this.n),o=this.point(this.g.x.redMul(i),this.g.y);let s;this.g.mul(n).eq(o)?s=n:(j(this.g.mul(a).eq(o)),s=a);const f=this._getEndoBasis(s),c=this._getEndoPrecomp(f);return new x(i,s,f,c)}_getEndoRoots(e){const t=e===this.p?this.red:n.mont(e),r=new n(2).toRed(t),i=new n(3).toRed(t),a=r.redInvert(),o=i.redNeg().redSqrt().redMul(a),s=o.redNeg();return[o.redSub(a).fromRed(),s.redSub(a).fromRed()].sort(n.cmp)}_getEndoBasis(e){const[t,r,i,n,a,o]=this._egcdSqrt(e),s=i,f=n.neg(),c=t.sqr().iadd(r.sqr()),d=a.sqr().iadd(o.sqr());let u,h;return c.cmp(d)<=0?(u=t,h=r.neg()):(u=a,h=o.neg()),[new z(s,f),new z(u,h)]}_egcdSqrt(e){j(e instanceof n),j(!e.red),j(e.sign()>0),j(this.n.sign()>0);const t=this.n.ushrn(this.n.bitLength()>>>1);let r,i,a,o,s,f=e,c=this.n.clone(),d=new n(1),u=new n(0),h=new n(0),l=new n(1),b=0,p=0;for(;!f.isZero()&&b<2;){const e=c.quo(f),n=c.sub(e.mul(f)),m=h.sub(e.mul(d)),g=l.sub(e.mul(u));0===p&&n.cmp(t)<0&&(r=s,i=d,a=n,o=m,p=1),s=n,c=f,f=n,h=d,d=m,l=u,u=g,b+=p}j(0!==p,"Could not find r < sqrt(n).");return[r,i,a,o,h,d]}_getEndoPrecomp(e){j(Array.isArray(e)),j(2===e.length),j(e[0]instanceof z),j(e[1]instanceof z);const[t,r]=e,i=t.a.mul(r.b).isub(t.b.mul(r.a)),n=i.bitLength(),a=n>=160;j(i.eq(this.n));let o,s,f=n+Math.ceil(n/2)+1;for(a&&(f-=63&f);f>n&&(o=r.b.ushln(f).divRound(i),s=t.b.ushln(f).divRound(i),!(o.ucmp(i)<0&&s.ucmp(i)<0));)f-=a?64:1;if(f<=n)throw new Error("Could not calculate g1 and g2.");return[f,o,s]}_endoSplit(e){j(e instanceof n),j(!e.red),j(!this.n.isZero());const[t,r]=this.endo.basis,i=r.b.mul(e).divRound(this.n),a=t.b.neg().mul(e).divRound(this.n),o=i.mul(t.a),s=a.mul(r.a),f=i.ineg().mul(t.b),c=a.mul(r.b);return[e.sub(o).isub(s),f.isub(c)]}_endoBeta(e){return j(e instanceof b),[e,e._getBeta()]}_endoWnafMulAdd(e,t){j(Array.isArray(e)),j(Array.isArray(t)),j(e.length===t.length),j(null!=this.endo);const r=e.length,i=new Array(2*r),n=new Array(2*r);for(let a=0;a<r;a++){const[r,o]=this._endoBeta(e[a]),[s,f]=this._endoSplit(t[a]);i[2*a+0]=r,n[2*a+0]=s,i[2*a+1]=o,n[2*a+1]=f}return this._wnafMulAdd(5,i,n)}_sswu(e){const{b:t,z:r,ai:i,zi:n,one:a}=this,o=r.redSqr(),s=t.redNeg().redMul(i),f=t.redMul(n).redMul(i),c=e.redSqr(),d=c.redSqr(),u=o.redMul(d).redIAdd(r.redMul(c)),h=u.isZero()?u:u.redInvert(),l=h.isZero()?f:s.redMul(a.redAdd(h)),b=r.redMul(c).redMul(l),p=this.solveY2(l),m=this.solveY2(b),g=0|p.redIsSquare(),v=[l,b][1^g],y=[p,m][1^g].redSqrt();return y.redIsOdd()!==e.redIsOdd()&&y.redINeg(),this.point(v,y)}_sswui(e,t){const{a:r,b:i,z:n}=this,{x:a,y:o}=e,s=3&t,f=r.redSqr().redMul(a.redSqr()),c=r.redMul(i).redMul(a).redIMuln(2),d=i.redSqr().redMuln(3),u=r.redMul(a).redIAdd(i),h=f.redISub(c).redISub(d).redSqrt(),l=u.redSub(h).redINeg(),b=u.redAdd(h).redINeg(),p=[u.redMul(n).redIMuln(2),i.redMul(n).redIMuln(2)][s>>>1],m=[l,b][1&s].redDivSqrt(p);return m.redIsOdd()!==o.redIsOdd()&&m.redINeg(),m}_svdwf(e){const{c:t,z:r,zi:i,i2:n,i3:a}=this,o=this.solveY2(r),s=a.redMul(i.redSqr()),f=e.redSqr(),c=f.redSqr(),d=f.redAdd(o),u=f.redMul(d),h=u.isZero()?u:u.redInvert(),l=c.redMul(h).redMul(t),b=d.redSqr().redMul(d),p=t.redSub(r).redMul(n).redISub(l),m=l.redSub(t.redAdd(r).redMul(n)),g=r.redSub(b.redMul(h).redMul(s)),v=this.solveY2(p),y=this.solveY2(m),w=this.solveY2(g),_=function(e,t){let r=e%t;r<0&&(t<0?r-=t:r+=t);return r}(((1|v.redJacobi())-1)*(1|y.redJacobi()),3);return[[p,m,g][_],[v,y,w][_]]}_svdw(e){const[t,r]=this._svdwf(e),i=r.redSqrt();return i.redIsOdd()!==e.redIsOdd()&&i.redINeg(),this.point(t,i)}_svdwi(e,t){const{b:r,c:i,z:n,zero:a,two:o}=this,{x:s,y:f}=e,c=3&t,d=n.redSqr(),u=d.redMul(n),h=d.redSqr(),l=u.redAdd(r),b=l.redMuln(2),p=s.redSqr(),m=s.redMuln(2).redIAdd(n),g=s.redMul(d),v=i.redSub(m),y=i.redAdd(m),w=p.redMul(d).redIAdd(h).redIMuln(9),_=s.redMul(u).redIMuln(18),M=l.redMul(s.redSub(n)).redIMuln(12),S=(c>=2?w.redISub(_).redIAdd(M).redSqrt():a).redMul(n),k=u.redISub(g).redIMuln(3).redISub(b),E=l.redMul(v),x=l.redMul(y),z=k.redAdd(S),A=k.redSub(S),I=[y,v,o,o][c],q=[E,x,z,A][c].redDivSqrt(I),[R]=this._svdwf(q);if(!R.eq(s))throw new Error("Invalid point.");return q.redIsOdd()!==f.redIsOdd()&&q.redINeg(),q}isElliptic(){const{a:e,b:t}=this,r=e.redSqr().redMul(e);return!t.redSqr().redMuln(27).redIAdd(r.redMuln(4)).isZero()}jinv(){const{a:e,b:t}=this,r=e.redSqr().redMul(e),i=t.redSqr(),n=r.redMuln(4),a=n.redMuln(1728),o=i.redMuln(27).redIAdd(n);if(o.isZero())throw new Error("Curve is not elliptic.");return a.redDiv(o).fromRed()}point(e,t){return new b(this,e,t)}jpoint(e,t,r){return new p(this,e,t,r)}solveX(e){if(j(e instanceof n),!this.a.isZero())throw new Error("Not implemented.");return N(e.redSqr().redSub(this.b))}solveY2(e){j(e instanceof n);const t=e.redSqr().redMul(e).redIAdd(this.b);return this.zeroA||(this.threeA?t.redIAdd(e.redMuln(-3)):t.redIAdd(this.a.redMul(e))),t}validate(e){if(j(e instanceof b),e.inf)return!0;const{x:t,y:r}=e,i=this.solveY2(t);return r.redSqr().eq(i)}pointFromX(e,t=null){j(e instanceof n),j(null==t||"boolean"==typeof t),e.red||(e=e.toRed(this.red));const r=this.solveY(e);if(null!=t){if(this.h.cmpn(1)>0&&r.isZero()&&t)throw new Error("Invalid point.");r.redIsOdd()!==t&&r.redINeg()}return this.point(e,r)}pointFromY(e,t=0){j(e instanceof n),j(t>>>0===t),e.red||(e=e.toRed(this.red));const r=this.solveX(e);if(t>=r.length)throw new Error("Invalid X coordinate index.");const i=r[t];return this.point(i,e)}isIsomorphic(e){if(j(e instanceof u),!e.p.eq(this.p))return!1;let t,r;try{[t,r]=this._scale(e)}catch(e){return!1}if("short"===e.type){const i=this.field(e.a).redMul(t.redSqr()),n=this.field(e.b).redMul(r.redSqr());return this.a.eq(i)&&this.b.eq(n)}if("mont"===e.type){const{a3:r,bi:i}=e,n=this.field(r.redMul(i)).redMul(t);return this.solveY2(n).isZero()}if("edwards"===e.type){const r=this.field(e.ad6).redMul(t);return this.solveY2(r).isZero()}return!1}isIsogenous(e){return j(e instanceof u),!1}pointFromShort(e){if(j(e instanceof b),this.isIsomorphic(e.curve)){if(e.isInfinity())return this.point();const[t,r]=this._scale(e.curve),i=this.field(e.x),n=this.field(e.y),a=i.redMul(t),o=n.redMul(r);return this.point(a,o)}throw new Error("Not implemented.")}pointFromMont(e){if(j(e instanceof g),this.isIsomorphic(e.curve)){if(e.isInfinity())return this.point();const{a3:t,bi:r}=e.curve,[i,n]=this._scale(e.curve),a=e.x.redAdd(t).redMul(r),o=e.y.redMul(r);return this.point(this.field(a).redMul(i),this.field(o).redMul(n))}throw new Error("Not implemented.")}pointFromEdwards(e){if(j(e instanceof w),this.isIsomorphic(e.curve)){const{a:t,d:r,ad6:i}=e.curve,[n,a]=this._scale(e.curve);if(e.isInfinity())return this.point();if(e.x.isZero()){const e=this.field(i).redMul(n);return this.point(e,this.zero)}const{x:o,y:s,z:f}=e,c=t.redMuln(5),d=r.redMuln(5),u=r.redSub(t),h=d.redSub(t),l=r.redSub(c),b=s.redAdd(f),p=s.redSub(f),m=h.redMul(s).redIAdd(l.redMul(f)),g=p.redMuln(12),v=u.redMul(b).redMul(f),y=p.redMul(o).redIMuln(4);return this.cpoint(this.field(m).redMul(n),this.field(g),this.field(v).redMul(a),this.field(y))}throw new Error("Not implemented.")}pointFromUniform(e){if(j(e instanceof n),this.z.isZero()||this.b.isZero())throw new Error("Not implemented.");if(!this.a.isZero())return this._sswu(e);if(!this.c.isZero())return this._svdw(e);throw new Error("Not implemented.")}pointToUniform(e,t){if(j(e instanceof b),j(t>>>0===t),this.z.isZero()||this.b.isZero())throw new Error("Not implemented.");if(e.isInfinity())throw new Error("Invalid point.");const r=(t>>>4&15)%this.torsion.length,i=e.add(this.torsion[r]);return B(()=>{if(!this.a.isZero())return this._sswui(i,t);if(!this.c.isZero())return this._svdwi(i,t);throw new Error("Not implemented.")})}mulAll(e,t){return super.mulAll(e,t).toP()}affinizeAll(e){const t=this.normalizeAll(e);for(let e=0;e<t.length;e++)t[e]=t[e].toP();return t}decodePoint(e){return b.decode(this,e)}encodeX(e){return j(e instanceof h),e.encodeX()}decodeEven(e){return b.decodeEven(this,e)}decodeSquare(e){return b.decodeSquare(this,e)}toShort(e,t,r=null){const[i,n]=this._short(e,t),a=new l({red:this.red,prime:this.prime,p:this.p,a:i,b:n,n:this.n,h:this.h});if(null!=r){const[,e]=a._scale(this);e.redIsOdd()!==r&&e.redINeg()}this.g.isInfinity()||(a.g=a.pointFromShort(this.g));for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromShort(this.torsion[e]);return a}toMont(e,t,r=null){const[i,n]=this._mont(e,t),a=new m({red:this.red,prime:this.prime,p:this.p,a:i,b:n,n:this.n,h:this.h});if(null!=r){const[,e]=this._scale(a);e.redIsOdd()!==r&&e.redINeg()}this.g.isInfinity()||(a.g=a.pointFromShort(this.g));for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromShort(this.torsion[e]);return a}toEdwards(e,t,r=null){const[i,n]=this._edwards(e,t),a=new y({red:this.red,prime:this.prime,p:this.p,a:i,d:n,n:this.n,h:this.h});if(null!=r){const[,e]=this._scale(a);e.redIsOdd()!==r&&e.redINeg()}if(this.g.isInfinity()||(a.g=a.pointFromShort(this.g),a.g.normalize()),a.isComplete())for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromShort(this.torsion[e]),a.torsion[e].normalize();return a}pointFromJSON(e){return b.fromJSON(this,e)}toJSON(e){const t=super.toJSON(e);return t.a=this.a.fromRed().toJSON(),t.b=this.b.fromRed().toJSON(),this.c.isZero()||(t.c=this.c.fromRed().toJSON()),t}}class b extends h{constructor(e,t,r){j(e instanceof l),super(e,a),this.x=this.curve.zero,this.y=this.curve.zero,this.inf=!0,null!=t&&this._init(t,r)}_init(e,t){j(e instanceof n),j(t instanceof n),this.x=e,this.y=t,this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1}_getBeta(){if(!this.curve.endo)return null;if(this.pre&&this.pre.beta)return this.pre.beta;const e=this.x.redMul(this.curve.endo.beta),t=this.curve.point(e,this.y);return this.pre&&(t.pre=this.pre.map(e=>{const t=e.x.redMul(this.curve.endo.beta);return this.curve.point(t,e.y)}),this.pre.beta=t),t}_getJNAF(e){if(j(e instanceof b),this.inf||e.inf)return super._getJNAF(e);const t=[this,null,null,e];return this.y.eq(e.y)?(t[1]=this.add(e),t[2]=this.toJ().sub(e)):this.y.eq(e.y.redNeg())?(t[1]=this.toJ().add(e),t[2]=this.sub(e)):(t[1]=this.toJ().add(e),t[2]=this.toJ().sub(e)),t}clone(){return this.inf?this.curve.point():this.curve.point(this.x,this.y)}scale(e){return this.toJ().scale(e)}neg(){return this.inf?this:this.curve.point(this.x,this.y.redNeg())}add(e){if(j(e instanceof b),this.inf)return e;if(e.inf)return this;if(this.x.eq(e.x))return this.y.eq(e.y)?this.dbl():this.curve.point();if(this.y.eq(e.y)){const t=this.x.redNeg().redISub(e.x),r=this.y.redNeg();return this.curve.point(t,r)}const t=this.x.redSub(e.x),r=this.y.redSub(e.y).redDiv(t),i=r.redSqr().redISub(this.x).redISub(e.x),n=r.redMul(this.x.redSub(i)).redISub(this.y);return this.curve.point(i,n)}dbl(){if(this.inf)return this;if(this.y.isZero())return this.curve.point();const e=this.x.redSqr().redIMuln(3).redIAdd(this.curve.a),t=this.y.redMuln(2),r=e.redDiv(t),i=r.redSqr().redISub(this.x).redISub(this.x),n=r.redMul(this.x.redSub(i)).redISub(this.y);return this.curve.point(i,n)}dblp(e){return this.toJ().dblp(e).toP()}getX(){if(this.inf)throw new Error("Invalid point.");return this.x.fromRed()}getY(){if(this.inf)throw new Error("Invalid point.");return this.y.fromRed()}eq(e){return j(e instanceof b),this===e||(this.inf?e.inf:!e.inf&&(this.x.eq(e.x)&&this.y.eq(e.y)))}cmp(e){return j(e instanceof b),this.inf&&!e.inf?-1:!this.inf&&e.inf?1:this.inf&&e.inf?0:this.order().cmp(e.order())||this.getX().cmp(e.getX())||this.getY().cmp(e.getY())}isInfinity(){return this.inf}isOrder2(){return!this.inf&&this.y.isZero()}isOdd(){return!this.inf&&this.y.redIsOdd()}isEven(){return!this.inf&&this.y.redIsEven()}isSquare(){return!this.inf&&-1!==this.y.redJacobi()}eqX(e){return j(e instanceof n),j(!e.red),!this.inf&&this.getX().eq(e)}eqR(e){return j(e instanceof n),j(!e.red),j(!this.curve.n.isZero()),!this.inf&&this.getX().imod(this.curve.n).eq(e)}mul(e){return super.mul(e).toP()}muln(e){return super.muln(e).toP()}mulBlind(e,t){return super.mulBlind(e,t).toP()}mulAdd(e,t,r){return super.mulAdd(e,t,r).toP()}mulH(){return super.mulH().toP()}div(e){return super.div(e).toP()}divn(e){return super.divn(e).toP()}divH(){return super.divH().toP()}toP(){return this}toJ(){return this.inf?this.curve.jpoint():this.curve.jpoint(this.x,this.y,this.curve.one)}encode(t){null==t&&(t=!0),j("boolean"==typeof t);const{fieldSize:r}=this.curve;if(this.inf)throw new Error("Invalid point.");if(t){const t=e.alloc(1+r),i=this.curve.encodeField(this.getX());return t[0]=2|this.y.redIsOdd(),i.copy(t,1),t}const i=e.alloc(1+2*r),n=this.curve.encodeField(this.getX()),a=this.curve.encodeField(this.getY());return i[0]=4,n.copy(i,1),a.copy(i,1+r),i}static decode(t,r){j(t instanceof l),j(e.isBuffer(r));const i=t.fieldSize;if(r.length<1+i)throw new Error("Not a point.");const n=r[0];switch(n){case 2:case 3:{if(r.length!==1+i)throw new Error("Invalid point size for compressed.");const e=t.decodeField(r.slice(1,1+i));if(e.cmp(t.p)>=0)throw new Error("Invalid point.");const a=t.pointFromX(e,3===n);return j(!a.isInfinity()),a}case 4:case 6:case 7:{if(r.length!==1+2*i)throw new Error("Invalid point size for uncompressed.");const e=t.decodeField(r.slice(1,1+i)),a=t.decodeField(r.slice(1+i,1+2*i));if(e.cmp(t.p)>=0||a.cmp(t.p)>=0)throw new Error("Invalid point.");if(4!==n&&n!==(6|a.isOdd()))throw new Error("Invalid hybrid encoding.");const o=t.point(e,a);if(!o.validate())throw new Error("Invalid point.");return j(!o.isInfinity()),o}default:throw new Error("Unknown point format.")}}encodeX(){return this.curve.encodeField(this.getX())}static decodeEven(e,t){j(e instanceof l);const r=e.decodeField(t);if(r.cmp(e.p)>=0)throw new Error("Invalid point.");return e.pointFromX(r,!1)}static decodeSquare(e,t){j(e instanceof l);const r=e.decodeField(t);if(r.cmp(e.p)>=0)throw new Error("Invalid point.");return e.pointFromX(r)}toJSON(e){if(this.inf)return[];const t=this.getX().toJSON(),r=this.getY().toJSON();return!0===e&&this.pre?[t,r,this.pre.toJSON()]:[t,r]}toPretty(){if(this.inf)return[];const e=2*this.curve.fieldSize;return[L(this.getX(),e),L(this.getY(),e)]}static fromJSON(e,t){if(j(e instanceof l),j(Array.isArray(t)),j(0===t.length||2===t.length||3===t.length),0===t.length)return e.point();const r=n.fromJSON(t[0]),i=n.fromJSON(t[1]),a=e.point(r,i);return t.length>2&&null!=t[2]&&(a.pre=_.fromJSON(a,t[2])),a}[i](){return this.inf?"<ShortPoint: Infinity>":"<ShortPoint: x="+this.x.fromRed().toString(16,2)+" y="+this.y.fromRed().toString(16,2)+">"}}class p extends h{constructor(e,t,r,i){j(e instanceof l),super(e,o),this.x=this.curve.one,this.y=this.curve.one,this.z=this.curve.zero,this.zOne=!1,null!=t&&this._init(t,r,i)}_init(e,t,r){j(e instanceof n),j(t instanceof n),j(null==r||r instanceof n),this.x=e,this.y=t,this.z=r||this.curve.one,this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z.eq(this.curve.one)}clone(){return this.curve.jpoint(this.x,this.y,this.z)}validate(){const{a:e,b:t}=this.curve;if(this.isInfinity())return!0;if(this.zOne)return this.curve.validate(this.toP());const r=this.y.redSqr(),i=this.x.redSqr().redMul(this.x),n=this.z.redSqr(),a=n.redSqr(),o=a.redMul(n),s=i.redIAdd(t.redMul(o));return this.curve.zeroA||(this.curve.threeA?s.redIAdd(a.redIMuln(-3).redMul(this.x)):s.redIAdd(e.redMul(a).redMul(this.x))),r.eq(s)}normalize(){if(this.zOne)return this;if(this.isInfinity())return this;const e=this.z.redInvert(),t=e.redSqr();return this.x=this.x.redMul(t),this.y=this.y.redMul(t).redMul(e),this.z=this.curve.one,this.zOne=!0,this}scale(e){if(j(e instanceof n),this.isInfinity())return this.curve.jpoint();const t=e.redSqr(),r=this.x.redMul(t),i=this.y.redMul(t).redMul(e),a=this.z.redMul(e);return this.curve.jpoint(r,i,a)}neg(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)}add(e){return j(e instanceof h),e.type===a?this._mixedAdd(e):this._add(e)}_add(e){return j(e instanceof p),this.isInfinity()?e:e.isInfinity()?this:this.zOne?e._addJA(this):e.zOne?this._addJA(e):this._addJJ(e)}_mixedAdd(e){return j(e instanceof b),this.isInfinity()?e.toJ():e.isInfinity()?this:this._addJA(e)}_addJJ(e){const t=this.z.redSqr(),r=e.z.redSqr(),i=this.x.redMul(r),n=e.x.redMul(t),a=this.y.redMul(e.z).redMul(r),o=e.y.redMul(this.z).redMul(t),s=n.redISub(i),f=o.redISub(a);if(s.isZero())return f.isZero()?this.dbl():this.curve.jpoint();const c=s.redSqr(),d=s.redMul(c),u=i.redMul(c),h=f.redSqr().redISub(d).redISub(u).redISub(u),l=f.redMul(u.redISub(h)).redISub(a.redMul(d)),b=this.z.redMul(e.z).redMul(s);return this.curve.jpoint(h,l,b)}_addJA(e){const t=this.z.redSqr(),r=e.x.redMul(t),i=e.y.redMul(this.z).redMul(t),n=r.redISub(this.x),a=i.redISub(this.y).redIMuln(2);if(n.isZero())return a.isZero()?this.dbl():this.curve.jpoint();const o=n.redMuln(2).redSqr(),s=n.redMul(o),f=this.x.redMul(o),c=a.redSqr().redISub(s).redISub(f).redISub(f),d=a.redMul(f.redISub(c)).redISub(this.y.redMul(s).redIMuln(2)),u=this.z.redMul(n).redIMuln(2);return this.curve.jpoint(c,d,u)}dbl(){return this.isInfinity()?this:this.y.isZero()?this.curve.jpoint():this.curve.zeroA?this._dbl0():this.curve.threeA?this._dbl3():this._dblJ()}_dblJ(){const e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr(),i=this.x.redMul(t).redIMuln(4),n=e.redIMuln(3).redIAdd(this.curve.a.redMul(r.redSqr())),a=n.redSqr().redISub(i).redISub(i),o=a,s=n.redMul(i.redISub(a)).redISub(t.redSqr().redIMuln(8)),f=this.y.redMul(this.z).redIMuln(2);return this.curve.jpoint(o,s,f)}_dbl0(){const e=this.x.redSqr(),t=this.y.redSqr(),r=t.redSqr(),i=t.redIAdd(this.x).redSqr().redISub(e).redISub(r).redIMuln(2),n=e.redIMuln(3),a=n.redSqr().redISub(i).redISub(i),o=n.redMul(i.redISub(a)).redISub(r.redIMuln(8)),s=this.y.redMul(this.z).redIMuln(2);return this.curve.jpoint(a,o,s)}_dbl3(){const e=this.z.redSqr(),t=this.y.redSqr(),r=this.x.redMul(t),i=this.x.redSub(e),n=this.x.redAdd(e),a=i.redMul(n).redIMuln(3),o=r.redIMuln(4),s=o.redMuln(2),f=t.redSqr().redIMuln(8),c=a.redSqr().redISub(s),d=this.y.redAdd(this.z).redSqr().redISub(t).redISub(e),u=a.redMul(o.redISub(c)).redISub(f);return this.curve.jpoint(c,u,d)}getX(){if(this.isInfinity())throw new Error("Invalid point.");return this.normalize(),this.x.fromRed()}getY(){if(this.isInfinity())throw new Error("Invalid point.");return this.normalize(),this.y.fromRed()}eq(e){if(j(e instanceof p),this===e)return!0;if(this.isInfinity())return e.isInfinity();if(e.isInfinity())return!1;if(this.z.eq(e.z))return this.x.eq(e.x)&&this.y.eq(e.y);const t=this.z.redSqr(),r=e.z.redSqr(),i=this.x.redMul(r),n=e.x.redMul(t);if(!i.eq(n))return!1;const a=t.redMul(this.z),o=r.redMul(e.z),s=this.y.redMul(o),f=e.y.redMul(a);return s.eq(f)}cmp(e){j(e instanceof p);const t=this.isInfinity(),r=e.isInfinity();return t&&!r?-1:!t&&r?1:t&&r?0:this.order().cmp(e.order())||this.getX().cmp(e.getX())||this.getY().cmp(e.getY())}isInfinity(){return this.z.isZero()}isOrder2(){return!this.isInfinity()&&this.y.isZero()}isOdd(){return!this.isInfinity()&&(this.normalize(),this.y.redIsOdd())}isEven(){return!this.isInfinity()&&(this.normalize(),this.y.redIsEven())}isSquare(){return!this.isInfinity()&&-1!==this.y.redMul(this.z).redJacobi()}eqX(e){if(j(e instanceof n),j(!e.red),this.isInfinity())return!1;const t=this.z.redSqr(),r=e.toRed(this.curve.red).redMul(t);return this.x.eq(r)}eqR(e){if(j(e instanceof n),j(!e.red),!this.curve.smallGap)return this.toP().eqR(e);if(this.isInfinity())return!1;if(e.cmp(this.curve.p)>=0)return!1;const t=this.z.redSqr(),r=e.toRed(this.curve.red).redMul(t);if(this.x.eq(r))return!0;if(this.curve.highOrder)return!1;if(e.cmp(this.curve.pmodn)>=0)return!1;const i=this.curve.redN.redMul(t);return r.redIAdd(i),this.x.eq(r)}toP(){return this.isInfinity()?this.curve.point():(this.normalize(),this.curve.point(this.x,this.y))}toJ(){return this}encode(e){return this.toP().encode(e)}static decode(e,t){return b.decode(e,t).toJ()}encodeX(){return this.toP().encodeX()}static decodeEven(e,t){return b.decodeEven(e,t).toJ()}static decodeSquare(e,t){return b.decodeSquare(e,t).toJ()}toJSON(e){return this.toP().toJSON(e)}toPretty(){return this.toP().toPretty()}static fromJSON(e,t){return b.fromJSON(e,t).toJ()}[i](){return this.isInfinity()?"<JPoint: Infinity>":"<JPoint: x="+this.x.fromRed().toString(16,2)+" y="+this.y.fromRed().toString(16,2)+" z="+this.z.fromRed().toString(16,2)+">"}}class m extends u{constructor(e){super(g,"mont",e),this.a=n.fromJSON(e.a).toRed(this.red),this.b=n.fromJSON(e.b).toRed(this.red),this.bi=this.b.redInvert(),this.a2=this.a.redAdd(this.two),this.a24=this.a2.redMul(this.i4),this.a3=this.a.redMul(this.i3),this.a0=this.a.redMul(this.bi),this.b0=this.bi.redSqr(),this._finalize(e)}static _isomorphism(e,t,r){j(e instanceof n),j(t instanceof n),j(r instanceof n);const i=e.clone(),a=r.clone();if(1!==t.redDiv(r).redJacobi())throw new Error("Invalid `b` coefficient.");return[i,a]}_short(e,t){const{a:r,b:i,three:n}=this,a=r.redSqr(),o=a.redMul(r),s=i.redSqr(),f=s.redMul(i),c=n.redSub(a),d=s.redMuln(3),u=o.redMuln(2).redISub(r.redMuln(9)),h=f.redMuln(27),b=c.redDiv(d),p=u.redDiv(h);return null!=e?l._isomorphism(b,p,e,t):[b,p]}_mont(e){return m._isomorphism(this.a,this.b,e)}_edwards(e,t=!1){j("boolean"==typeof t);const{two:r,bi:i}=this,n=this.a.redAdd(r).redMul(i),a=this.a.redSub(r).redMul(i);return t&&n.swap(a),null!=e?y._isomorphism(n,a,e):[n,a]}_scaleShort(e){j(e instanceof l);const[t,r]=e._scale(this);return[this.field(t.redInvert()),this.field(r.redInvert())]}_scaleMont(e){return j(e instanceof m),this.g.isInfinity()||e.g.isInfinity()?this.field(e.b).redDivSqrt(this.b):this.g.y.redDiv(this.field(e.g.y))}_scaleEdwards(e,t){j(e instanceof y);const r=e._scale(this,t);return this.field(r)}_solveY0(e){j(e instanceof n);const t=this.a0,r=this.b0,i=e.redSqr();return i.redMul(e).redIAdd(t.redMul(i)).redIAdd(r.redMul(e))}_elligator2(e){const t=this.a0.redNeg(),r=this.one.redAdd(this.z.redMul(e.redSqr()));r.isZero()&&r.inject(this.one);const i=t.redMul(r.redInvert()),n=i.redNeg().redISub(this.a0),a=this._solveY0(i),o=this._solveY0(n),s=0|a.redIsSquare(),f=[i,n][1^s],c=[a,o][1^s].redSqrt();c.redIsOdd()!==e.redIsOdd()&&c.redINeg();const d=this.b.redMul(f),u=this.b.redMul(c);return this.point(d,u)}_invert2(e,t){const{x:r,y:i}=e,n=1&t,a=r.redMul(this.bi),o=i.redMul(this.bi),s=a.redAdd(this.a0),f=a,c=[s,f][n].redINeg(),d=[f,s][n].redMul(this.z),u=c.redDivSqrt(d);return u.redIsOdd()!==o.redIsOdd()&&u.redINeg(),u}isElliptic(){const e=this.a.redSqr();return!this.b.redMul(e.redSub(this.four)).isZero()}jinv(){const{a:e,three:t,four:r}=this,i=e.redSqr(),n=i.redSub(t).redPown(3).redIMuln(256),a=i.redSub(r);if(a.isZero())throw new Error("Curve is not elliptic.");return n.redDiv(a).fromRed()}point(e,t){return new g(this,e,t)}jpoint(e,t,r){return j(null==e&&null==t&&null==r),this.point()}xpoint(e,t){return new v(this,e,t)}solveY2(e){j(e instanceof n);const t=e.redSqr();return t.redMul(e).redIAdd(this.a.redMul(t)).redIAdd(e).redMul(this.bi)}validate(e){if(j(e instanceof g),e.isInfinity())return!0;const{x:t,y:r}=e,i=this.solveY2(t);return r.redSqr().eq(i)}pointFromX(e,t=null){j(e instanceof n),j(null==t||"boolean"==typeof t),e.red||(e=e.toRed(this.red));const r=this.solveY(e);if(null!=t){if(r.isZero()&&t)throw new Error("Invalid point.");r.redIsOdd()!==t&&r.redINeg()}return this.point(e,r)}isIsomorphic(e,t){if(j(e instanceof u),!e.p.eq(this.p))return!1;if("mont"===e.type){const t=this.field(e.a),r=this.field(e.b);if(!this.a.eq(t))return!1;if(this.b.isZero())return!1;return 1===r.redDiv(this.b).redJacobi()}return e.isIsomorphic(this,t)}isIsogenous(e){return j(e instanceof u),"mont"!==e.type&&e.isIsogenous(this)}pointFromShort(e){if(j(e instanceof b),this.isIsomorphic(e.curve)){if(e.isInfinity())return this.point();const{a3:t,b:r}=this,[i,n]=this._scale(e.curve),a=this.field(e.x).redMul(i),o=this.field(e.y).redMul(n),s=r.redMul(a).redISub(t),f=r.redMul(o);return this.point(s,f)}throw new Error("Not implemented.")}pointFromMont(e){if(j(e instanceof g),this.isIsomorphic(e.curve)){if(e.isInfinity())return this.point();const t=this._scale(e.curve),r=this.field(e.x),i=this.field(e.y),n=r,a=t.redMul(i);return this.point(n,a)}throw new Error("Not implemented.")}pointFromEdwards(e){j(e instanceof w),j(e.curve.p.eq(this.p));const t=this.field(e.x),r=this.field(e.y),i=this.field(e.z);if(this.isIsogenous(e.curve)){if(e.isInfinity())return this.point();if(e.x.isZero())return this.point(this.zero,this.zero);const n=i.redSqr().redIMuln(2),a=r.redSqr(),o=t.redSqr(),s=n.redISub(o).redISub(a).redMul(r),f=o.redMul(t);return this.cpoint(a,o,s,f)}if(this.isIsomorphic(e.curve,!0)){if(e.isInfinity())return this.point();if(e.x.isZero())return this.point(this.zero,this.zero);const n=this._scale(e.curve,!0),a=r.redAdd(i),o=r.redSub(i),s=n.redMul(i).redMul(a),f=t.redMul(o);return this.cpoint(a,o,s,f)}if(this.isIsomorphic(e.curve,!1)){if(e.isInfinity())return this.point();if(e.x.isZero())return this.point(this.zero,this.zero);const n=this._scale(e.curve,!1),a=i.redAdd(r),o=i.redSub(r),s=n.redMul(i).redMul(a),f=t.redMul(o);return this.cpoint(a,o,s,f)}throw new Error("Not implemented.")}pointFromUniform(e){if(j(e instanceof n),this.z.isZero()||this.a.isZero())throw new Error("Not implemented.");return this._elligator2(e)}pointToUniform(e,t){if(j(e instanceof g),j(t>>>0===t),this.z.isZero()||this.a.isZero())throw new Error("Not implemented.");if(e.isInfinity())throw new Error("Invalid point.");const r=(t>>>4&15)%this.torsion.length,i=e.add(this.torsion[r]);return B(()=>this._invert2(i,t))}decodePoint(e,t){return g.decode(this,e,t)}encodeX(e){return j(e instanceof v),e.encode()}decodeX(e){return v.decode(this,e)}toShort(e,t,r=null){const[i,n]=this._short(e,t),a=new l({red:this.red,prime:this.prime,p:this.p,a:i,b:n,n:this.n,h:this.h});if(null!=r){const[,e]=a._scale(this);e.redIsOdd()!==r&&e.redINeg()}this.g.isInfinity()||(a.g=a.pointFromMont(this.g));for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromMont(this.torsion[e]);return a}toMont(e,t=null){const[r,i]=this._mont(e),n=new m({red:this.red,prime:this.prime,p:this.p,a:r,b:i,n:this.n,h:this.h,z:this.z});if(null!=t){const e=n._scale(this);e.redIsOdd()!==t&&e.redINeg()}this.g.isInfinity()||(n.g=n.pointFromMont(this.g));for(let e=0;e<this.h.word(0);e++)n.torsion[e]=n.pointFromMont(this.torsion[e]);return n}toEdwards(e,t,r=null){const[i,n]=this._edwards(e,t),a=new y({red:this.red,prime:this.prime,p:this.p,a:i,d:n,n:this.n,h:this.h,z:this.z});if(null!=r){const e=a._scale(this,t);e.redIsOdd()!==r&&e.redINeg()}if(this.g.isInfinity()||(a.g=a.pointFromMont(this.g),a.g.normalize()),a.isComplete())for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromMont(this.torsion[e]),a.torsion[e].normalize();return a}pointFromJSON(e){return g.fromJSON(this,e)}toJSON(e){const t=super.toJSON(e);return t.a=this.a.fromRed().toJSON(),t.b=this.b.fromRed().toJSON(),t}}class g extends h{constructor(e,t,r){j(e instanceof m),super(e,a),this.x=this.curve.zero,this.y=this.curve.zero,this.inf=!0,null!=t&&this._init(t,r)}_init(e,t){j(e instanceof n),j(t instanceof n),this.x=e,this.y=t,this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1}clone(){return this.inf?this.curve.point():this.curve.point(this.x,this.y)}scale(e){return this.clone()}randomize(e){return this.clone()}neg(){return this.inf?this:this.curve.point(this.x,this.y.redNeg())}add(e){if(j(e instanceof g),this.inf)return e;if(e.inf)return this;if(this.x.eq(e.x))return this.y.eq(e.y)?this.dbl():this.curve.point();const t=e.x.redSub(this.x),r=e.y.redSub(this.y).redDiv(t),i=this.curve.b.redMul(r.redSqr()).redISub(this.curve.a).redISub(this.x).redISub(e.x),n=r.redMul(this.x.redSub(i)).redISub(this.y);return this.curve.point(i,n)}dbl(){if(this.inf)return this;if(this.y.isZero())return this.curve.point();const e=this.x.redSqr().redIMuln(3),t=this.curve.a.redMul(this.x).redIMuln(2),r=e.redIAdd(t).redIAdd(this.curve.one),i=this.curve.b.redMul(this.y).redIMuln(2),n=r.redDiv(i),a=this.curve.b.redMul(n.redSqr()).redISub(this.curve.a).redISub(this.x).redISub(this.x),o=n.redMul(this.x.redSub(a)).redISub(this.y);return this.curve.point(a,o)}getX(){if(this.inf)throw new Error("Invalid point.");return this.x.fromRed()}getY(){if(this.inf)throw new Error("Invalid point.");return this.y.fromRed()}eq(e){return j(e instanceof g),this===e||(this.inf?e.inf:!e.inf&&(this.x.eq(e.x)&&this.y.eq(e.y)))}cmp(e){return j(e instanceof g),this.inf&&!e.inf?-1:!this.inf&&e.inf?1:this.inf&&e.inf?0:this.order().cmp(e.order())||this.getX().cmp(e.getX())||this.getY().cmp(e.getY())}isInfinity(){return this.inf}isOrder2(){return!this.inf&&this.y.isZero()}isOdd(){return!this.inf&&this.y.redIsOdd()}isEven(){return!this.inf&&this.y.redIsEven()}toP(){return this}toJ(){return this}toX(){return this.inf?this.curve.xpoint():this.curve.xpoint(this.x,this.curve.one)}encode(){return this.toX().encode()}static decode(e,t,r){return j(e instanceof m),e.decodeX(t).toP(r)}toJSON(e){if(this.inf)return[];return[this.getX().toJSON(),this.getY().toJSON()]}toPretty(){if(this.inf)return[];const e=2*this.curve.fieldSize;return[L(this.getX(),e),L(this.getY(),e)]}static fromJSON(e,t){if(j(e instanceof m),j(Array.isArray(t)),j(0===t.length||2===t.length||3===t.length),0===t.length)return e.point();const r=n.fromJSON(t[0]),i=n.fromJSON(t[1]);return e.point(r,i)}[i](){return this.inf?"<MontPoint: Infinity>":"<MontPoint: x="+this.x.fromRed().toString(16,2)+" y="+this.y.fromRed().toString(16,2)+">"}}class v extends h{constructor(e,t,r){j(e instanceof m),super(e,s),this.x=this.curve.one,this.z=this.curve.zero,null!=t&&this._init(t,r)}_init(e,t){j(e instanceof n),j(null==t||t instanceof n),this.x=e,this.z=t||this.curve.one,this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red))}clone(){return this.curve.xpoint(this.x,this.z)}precompute(e,t){return this}validate(){if(this.isInfinity())return!0;const{x:e,z:t}=this,r=e.redSqr(),i=r.redMul(e),n=t.redSqr(),a=this.curve.a.redMul(r).redMul(t);return-1!==i.redIAdd(a).redIAdd(e.redMul(n)).redMul(this.curve.bi).redMul(t).redJacobi()}normalize(){return this.isInfinity()||this.z.eq(this.curve.one)||(this.x=this.x.redDiv(this.z),this.z=this.curve.one),this}scale(e){if(j(e instanceof n),this.isInfinity())return this.curve.xpoint();const t=this.x.redMul(e),r=this.z.redMul(e);return this.curve.xpoint(t,r)}neg(){return this}dbl(){const e=this.x.redAdd(this.z).redSqr(),t=this.x.redSub(this.z).redSqr(),r=e.redSub(t),i=e.redMul(t),n=r.redMul(t.redIAdd(this.curve.a24.redMul(r)));return this.curve.xpoint(i,n)}diffAddDbl(e,t){j(e instanceof v),j(t instanceof v);const r=e.x.redAdd(e.z),i=r.redSqr(),n=e.x.redSub(e.z),a=n.redSqr(),o=i.redSub(a),s=t.x.redAdd(t.z),f=t.x.redSub(t.z).redMul(r),c=s.redMul(n),d=this.z.redMul(f.redAdd(c).redSqr()),u=this.x.redMul(f.redISub(c).redSqr()),h=i.redMul(a),l=o.redMul(a.redIAdd(this.curve.a24.redMul(o)));return[this.curve.xpoint(h,l),this.curve.xpoint(d,u)]}getX(){if(this.isInfinity())throw new Error("Invalid point.");return this.normalize(),this.x.fromRed()}getY(e){return this.toP(e).getY()}eq(e){if(j(e instanceof v),this===e)return!0;if(this.isInfinity())return e.isInfinity();if(e.isInfinity())return!1;if(this.z.eq(e.z))return this.x.eq(e.x);const t=this.x.redMul(e.z),r=e.x.redMul(this.z);return t.eq(r)}cmp(e){j(e instanceof v);const t=this.isInfinity(),r=e.isInfinity();return t&&!r?-1:!t&&r?1:t&&r?0:this.order().cmp(e.order())||this.getX().cmp(e.getX())}isInfinity(){return this.z.isZero()}isOrder2(){return!this.isInfinity()&&this.x.isZero()}isOdd(){return!1}isEven(){return!1}hasTorsion(){return!this.isInfinity()&&(!!this.x.isZero()||super.hasTorsion())}order(){try{return this.toP().order()}catch(e){return new n(1)}}jmul(e){j(e instanceof n),j(!e.red);const t=e.bitLength();let r=this.curve.xpoint(),i=this;for(let n=t-1;n>=0;n--){0===e.bit(n)?[r,i]=this.diffAddDbl(r,i):[i,r]=this.diffAddDbl(i,r)}return r}jmulBlind(e,t){return t?this.randomize(t).jmul(e):this.jmul(e)}jmulAdd(e,t,r){throw new Error("Not implemented.")}toP(e=null){return j(null==e||"boolean"==typeof e),this.isInfinity()?this.curve.point():(this.normalize(),this.curve.pointFromX(this.x,e))}toJ(){return this}toX(){return this}key(){if(this.isInfinity())return this.curve.uid+":oo";this.normalize();const e=this.getX().toString(16);return`${this.curve.uid}:${e}`}encode(){return this.curve.encodeField(this.getX())}static decode(e,t){j(e instanceof m);const r=e.decodeField(t);r.iumaskn(e.fieldBits);const i=e.xpoint(r,e.one);return j(!i.isInfinity()),i}toJSON(e){return this.toP().toJSON(e)}toPretty(){return this.toP().toPretty()}static fromJSON(e,t){return g.fromJSON(e,t).toX()}[i](){return this.isInfinity()?"<XPoint: Infinity>":"<XPoint: x="+this.x.fromRed().toString(16,2)+" z="+this.z.fromRed().toString(16,2)+">"}}class y extends u{constructor(e){super(w,"edwards",e),this.a=n.fromJSON(e.a).toRed(this.red),this.d=n.fromJSON(e.d).toRed(this.red),this.s=n.fromJSON(e.s||"0").toRed(this.red),this.si=this.s.isZero()?this.zero:this.s.redInvert(),this.k=this.d.redMuln(2),this.smi=-this.d.redNeg().word(0),this.ad6=this.a.redAdd(this.d).redMul(this.i6),this.twisted=!this.a.eq(this.one),this.oneA=this.a.eq(this.one),this.mOneA=this.a.eq(this.one.redNeg()),this.smallD=null!=this.prime&&1===this.d.redNeg().length,this.alt=null,this._finalize(e)}static _isomorphism(e,t,r){j(e instanceof n),j(t instanceof n),j(r instanceof n);const i=r.clone(),a=r.redMul(t).redDiv(e);if(1!==e.redDiv(r).redJacobi())throw new Error("Invalid `a` coefficient.");return[i,a]}_short(e,t){const{a:r,d:i}=this,n=r.redSqr(),a=n.redMul(r),o=i.redSqr(),s=o.redMul(i),f=r.redMul(i).redIMuln(14),c=n.redMul(i),d=r.redMul(o),u=c.redIAdd(d).redIMuln(33),h=n.redAdd(f).redIAdd(o).redDivn(-48),b=u.redISub(a).redISub(s).redDivn(864);return null!=e?l._isomorphism(h,b,e,t):[h,b]}_mont(e,t=!1){let r,i;j("boolean"==typeof t),t?(r=this.d.redAdd(this.a),i=this.d.redSub(this.a)):(r=this.a.redAdd(this.d),i=this.a.redSub(this.d));const n=i.redInvert(),a=r.redMuln(2).redMul(n),o=n.redMuln(4);return null!=e?m._isomorphism(a,o,e):[a,o]}_edwards(e){return y._isomorphism(this.a,this.d,e)}_scaleShort(e){j(e instanceof l);const[t,r]=e._scale(this);return[this.field(t.redInvert()),this.field(r.redInvert())]}_scaleMont(e,t=!1){if(j(e instanceof m),j("boolean"==typeof t),this.g.isInfinity()||e.g.isInfinity()){const[r]=e._edwards(null,t);return this.field(r).redDivSqrt(this.a)}const r=e.g.x.redDiv(e.g.y);return this.g.x.redDiv(this.field(r))}_scaleEdwards(e){return j(e instanceof y),this.g.isInfinity()||e.g.isInfinity()?this.field(e.a).redDivSqrt(this.a):this.g.x.redDiv(this.field(e.g.x))}_mulA(e){return j(e instanceof n),this.oneA?e.clone():this.mOneA?e.redNeg():this.a.redMul(e)}_mulD(e){return j(e instanceof n),this.smallD?e.redMuln(this.smi):this.d.redMul(e)}_elligator1(e){const{s:t,si:r,i2:i,one:n,two:a}=this,o=r.redSqr().redIMuln(2),s=t.redSqr().redMul(i),f=s.redSqr(),c=o.redAdd(s),d=c.redSqr().redISub(a),u=o.redSub(n),h=n.redSub(e),l=n.redAdd(e),b=l.isZero()?l:h.redDiv(l),p=b.redSqr(),m=p.redMul(b),g=m.redMul(p).redAdd(d.redMul(m)).redIAdd(b),v=this.field(g.redJacobi()),y=this.field(p.redAdd(f).redJacobi()),w=v.redMul(y),_=v.redMul(b),M=v.redMul(g).redSqrt().redMul(w),S=n.redAdd(_),k=c.redMul(_),E=S.redSqr(),x=u.redMul(t).redMul(_).redMul(S),z=b.isZero()?this.one:M,A=k.redSub(E),I=k.redAdd(E);return this.cpoint(x,z,A,I)}_invert1(e,t){const{s:r,si:i,i2:n,one:a}=this,{x:o,y:s,z:f}=e,c=1&t,d=i.redSqr().redIMuln(2),u=r.redSqr().redMul(n),h=u.redSqr(),l=d.redAdd(u),b=d.redSub(a),p=s.redSub(f),m=s.redAdd(f).redIMuln(2),g=m.isZero()?m:p.redDiv(m),v=a.redAdd(g.redMul(l)),y=v.redSqr().redISub(a).redSqrt().redSub(v),w=a.redAdd(y),_=b.redMul(r).redMul(y).redMul(w).redMul(o.redMul(f)),M=y.redSqr().redIAdd(h),S=this.field(_.redMul(M).redJacobi()).redMul(y),k=a.redSub(S),E=a.redAdd(S),x=E.isZero()?E:k.redDiv(E);return x.redIsOdd()!==Boolean(c)&&x.redINeg(),x}_alt(){return this.alt||(this.alt=this.toMont()),this.alt}isElliptic(){const e=this.a.redMul(this.d),t=this.a.redSub(this.d);return!e.redMul(t).isZero()}jinv(){const{a:e,d:t}=this,r=e.redMul(t),i=e.redSub(t).redPown(4),n=e.redSqr(),a=t.redSqr(),o=n.redAdd(r.redMuln(14)).redIAdd(a).redPown(3).redIMuln(16),s=r.redMul(i);if(s.isZero())throw new Error("Curve is not elliptic.");return o.redDiv(s).fromRed()}isComplete(){return 1===this.a.redJacobi()&&-1===this.d.redJacobi()}point(e,t,r,i){return new w(this,e,t,r,i)}jpoint(e,t,r){return j(null==e&&null==t&&null==r),this.point()}cpoint(e,t,r,i){j(e instanceof n),j(t instanceof n),j(r instanceof n),j(i instanceof n);const a=e.redMul(i),o=r.redMul(t),s=t.redMul(i),f=e.redMul(r);return this.point(a,o,s,f)}solveX2(e){j(e instanceof n);const t=e.redSqr(),r=this._mulD(t).redISub(this.a);return t.redISub(this.one).redDiv(r)}solveX(e){const t=e.redSqr(),r=this._mulD(t).redISub(this.a);return t.redISub(this.one).redDivSqrt(r)}solveY2(e){j(e instanceof n);const t=e.redSqr(),r=this._mulA(t).redISub(this.one),i=this._mulD(t).redISub(this.one);return r.redDiv(i)}solveY(e){const t=e.redSqr(),r=this._mulA(t).redISub(this.one),i=this._mulD(t).redISub(this.one);return r.redDivSqrt(i)}validate(e){if(j(e instanceof w),e.zOne){const t=e.x.redSqr(),r=e.y.redSqr(),i=this._mulD(t).redMul(r),n=this._mulA(t).redIAdd(r),a=this.one.redAdd(i),o=e.t,s=e.x.redMul(e.y);return n.eq(a)&&o.eq(s)}const t=e.x.redSqr(),r=e.y.redSqr(),i=e.z.redSqr(),n=i.redSqr(),a=this._mulD(t).redMul(r),o=this._mulA(t).redIAdd(r).redMul(i),s=n.redIAdd(a),f=e.t.redMul(e.z),c=e.x.redMul(e.y);return o.eq(s)&&f.eq(c)}pointFromX(e,t=null){j(e instanceof n),j(null==t||"boolean"==typeof t),e.red||(e=e.toRed(this.red));const r=this.solveY(e);if(null!=t){if(r.isZero()&&t)throw new Error("Invalid point.");r.redIsOdd()!==t&&r.redINeg()}return this.point(e,r)}pointFromY(e,t=null){j(e instanceof n),j(null==t||"boolean"==typeof t),e.red||(e=e.toRed(this.red));const r=this.solveX(e);if(null!=t){if(r.isZero()&&t)throw new Error("Invalid point.");r.redIsOdd()!==t&&r.redINeg()}return this.point(r,e)}isIsomorphic(e,t=!1){if(j(e instanceof u),j("boolean"==typeof t),!e.p.eq(this.p))return!1;if("short"===e.type)return e.isIsomorphic(this);if("mont"===e.type){const r=this.field(e.a);let i,n;return t?(i=this.d.redAdd(this.a),n=this.d.redSub(this.a)):(i=this.a.redAdd(this.d),n=this.a.redSub(this.d)),r.redMul(n).eq(i.redIMuln(2))}if("edwards"===e.type){const t=this.field(e.a),r=this.field(e.d);return this.a.redMul(r).eq(t.redMul(this.d))}return!1}isIsogenous(e){if(j(e instanceof u),!e.p.eq(this.p))return!1;if("mont"===e.type){if(!this.a.eq(this.one))return!1;const t=this.field(e.a),r=this.field(e.b),i=this.two.redSub(this.d.redMuln(4));return t.eq(i)&&r.eq(this.one)}if("edwards"===e.type){const t=this.field(e.a),r=this.field(e.d);return t.eq(this.a.redNeg())&&r.eq(this.d.redSub(this.a))}return!1}pointFromShort(e){if(j(e instanceof b),this.isIsomorphic(e.curve)){if(e.isInfinity())return this.point();if(e.y.isZero())return this.point(this.zero,this.one.redNeg());const{a:t,d:r}=this,[i,n]=this._scale(e.curve),a=t.redMuln(5),o=r.redMuln(5),s=this.field(e.x).redMul(i),f=this.field(e.y).redMul(n),c=s.redMuln(6),d=s.redMuln(12),u=c.redSub(t).redISub(r),h=f.redMuln(6),l=d.redSub(a).redIAdd(r),b=d.redAdd(t).redISub(o);return this.cpoint(u,h,l,b)}throw new Error("Not implemented.")}pointFromMont(e){j(e instanceof g),j(e.curve.p.eq(this.p));const t=this.field(e.x),r=this.field(e.y);if(this.isIsogenous(e.curve)){if(e.isInfinity())return this.point();if(e.x.isZero())return this.point();const i=t.redSqr(),n=i.redMul(t),a=n.redMul(t),o=a.redMul(t),s=r.redSqr(),f=r.redMuln(4),c=i.redSub(this.one),d=i.redMuln(2),u=s.redMuln(4),h=n.redIMuln(2),l=t.redMul(s).redIMuln(4),b=i.redMul(s).redIMuln(2),p=s.redIMuln(2),m=f.redMul(c),g=a.redISub(d).redIAdd(u).redIAdd(this.one),v=o.redSub(h).redISub(l).redIAdd(t).redINeg(),y=o.redISub(b).redISub(h).redISub(p).redIAdd(t);return this.cpoint(m,g,v,y).divn(4)}if(this.isIsomorphic(e.curve,!0)){if(e.isInfinity())return this.point();if(e.x.isZero())return this.point(this.zero,this.one.redNeg());const i=this._scale(e.curve,!0).redMul(t),n=r,a=t.redAdd(this.one),o=t.redSub(this.one);return this.cpoint(i,n,a,o)}if(this.isIsomorphic(e.curve,!1)){if(e.isInfinity())return this.point();if(e.x.isZero())return this.point(this.zero,this.one.redNeg());const i=this._scale(e.curve,!1).redMul(t),n=r,a=t.redSub(this.one),o=t.redAdd(this.one);return this.cpoint(i,n,a,o)}throw new Error("Not implemented.")}pointFromEdwards(e){j(e instanceof w),j(e.curve.p.eq(this.p));const t=this.field(e.curve.a),r=this.field(e.x),i=this.field(e.y),n=this.field(e.z),a=this.field(e.t);if(this.isIsogenous(e.curve)){const e=r.redMul(i),a=r.redSqr(),o=i.redSqr(),s=n.redSqr(),f=t.redMul(a),c=e.redIMuln(2),d=o.redSub(f),u=o.redAdd(f),h=s.redIMuln(2).redISub(u),l=this.cpoint(c,d,u,h);return this.twisted?l:l.divn(4)}if(this.isIsomorphic(e.curve)){const t=this._scale(e.curve),o=t.redMul(r),s=i,f=n,c=t.redMul(a);return this.point(o,s,f,c)}throw new Error("Not implemented.")}pointFromUniform(e,t=null){j(e instanceof n),j(e.red===this.red),j(null==t||t instanceof m),t||(t=this._alt());const r=t.field(e),i=t.pointFromUniform(r);return this.pointFromMont(i)}pointToUniform(e,t,r=null){j(e instanceof w),j(t>>>0===t),j(null==r||r instanceof m),r||(r=this._alt());const i=(t>>4&15)%this.torsion.length,n=e.add(this.torsion[i]),a=r.pointFromEdwards(n),o=r.pointToUniform(a,15&t);return this.field(o)}pointFromHash(e,t,r=null){j(null==r||r instanceof m),r||(r=this._alt());const i=r.pointFromHash(e,t);return this.pointFromMont(i)}pointToHash(e,t,r,i=null){j(e instanceof w),j(t>>>0===t),j(null==i||i instanceof m),i||(i=this._alt());const n=t%this.torsion.length,a=e.add(this.torsion[n]),o=i.pointFromEdwards(a);return i.pointToHash(o,0,r)}decodePoint(e){return w.decode(this,e)}toShort(e,t,r=null){const[i,n]=this._short(e,t),a=new l({red:this.red,prime:this.prime,p:this.p,a:i,b:n,n:this.n,h:this.h});if(null!=r){const[,e]=a._scale(this);e.redIsOdd()!==r&&e.redINeg()}this.g.isInfinity()||(a.g=a.pointFromEdwards(this.g));for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromEdwards(this.torsion[e]);return a}toMont(e,t,r=null){const[i,n]=this._mont(e,t),a=new m({red:this.red,prime:this.prime,p:this.p,a:i,b:n,n:this.n,h:this.h,z:this.z});if(null!=r){const e=this._scale(a,t);e.redIsOdd()!==r&&e.redINeg()}this.g.isInfinity()||(a.g=a.pointFromEdwards(this.g));for(let e=0;e<this.h.word(0);e++)a.torsion[e]=a.pointFromEdwards(this.torsion[e]);return a}toEdwards(e,t=null){const[r,i]=this._edwards(e),n=new y({red:this.red,prime:this.prime,p:this.p,a:r,d:i,n:this.n,h:this.h,z:this.z});if(null!=t){const e=n._scale(this);e.redIsOdd()!==t&&e.redINeg()}if(this.g.isInfinity()||(n.g=n.pointFromEdwards(this.g),n.g.normalize()),n.isComplete())for(let e=0;e<this.h.word(0);e++)n.torsion[e]=n.pointFromEdwards(this.torsion[e]),n.torsion[e].normalize();return n}pointFromJSON(e){return w.fromJSON(this,e)}toJSON(e){const t=super.toJSON(e);return t.a=this.a.fromRed().toJSON(),t.d=this.d.fromRed().toJSON(),this.s.isZero()||(t.s=this.s.fromRed().toJSON()),t}}class w extends h{constructor(e,t,r,i,n){j(e instanceof y),super(e,f),this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0,null!=t&&this._init(t,r,i,n)}_init(e,t,r,i){j(e instanceof n),j(t instanceof n),j(null==r||r instanceof n),j(null==i||i instanceof n),this.x=e,this.y=t,this.z=r||this.curve.one,this.t=i||null,this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),this.zOne=this.z.eq(this.curve.one),this._check(),this.t||(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redDiv(this.z)))}_check(){if(this.z.isZero())throw new Error("Invalid point.")}clone(){return this.curve.point(this.x,this.y,this.z,this.t)}normalize(){if(this.zOne)return this;const e=this.z.redInvert();return this.x=this.x.redMul(e),this.y=this.y.redMul(e),this.t=this.t.redMul(e),this.z=this.curve.one,this.zOne=!0,this}scale(e){j(e instanceof n);const t=this.x.redMul(e),r=this.y.redMul(e),i=this.z.redMul(e),a=this.t.redMul(e);return this.curve.point(t,r,i,a)}neg(){const e=this.x.redNeg(),t=this.y,r=this.z,i=this.t.redNeg();return this.curve.point(e,t,r,i)}add(e){return j(e instanceof w),this.isInfinity()?e:e.isInfinity()?this:this.zOne?e._add(this):this._add(e)}_add(e){return this.curve.mOneA?this._addM1(e):this._addA(e)}_addM1(e){const t=this.y.redSub(this.x).redMul(e.y.redSub(e.x)),r=this.y.redAdd(this.x).redMul(e.y.redAdd(e.x)),i=this.t.redMul(this.curve.k).redMul(e.t),n=e.zOne?this.z.redAdd(this.z):this.z.redMul(e.z).redIMuln(2),a=r.redSub(t),o=n.redSub(i),s=n.redIAdd(i),f=r.redIAdd(t),c=a.redMul(o),d=s.redMul(f),u=a.redMul(f),h=o.redMul(s);return this.curve.point(c,d,h,u)}_addA(e){const t=this.x.redMul(e.x),r=this.y.redMul(e.y),i=this.curve._mulD(this.t).redMul(e.t),n=e.zOne?this.z.clone():this.z.redMul(e.z),a=this.x.redAdd(this.y).redMul(e.x.redAdd(e.y)).redISub(t).redISub(r),o=n.redSub(i),s=n.redIAdd(i),f=r.redISub(this.curve._mulA(t)),c=a.redMul(o),d=s.redMul(f),u=a.redMul(f),h=o.redMul(s);return this.curve.point(c,d,h,u)}dbl(){return this.isInfinity()?this:this._dbl()}_dbl(){const e=this.x.redSqr(),t=this.y.redSqr(),r=this.zOne?this.curve.two:this.z.redSqr().redIMuln(2),i=this.curve._mulA(e),n=this.x.redAdd(this.y).redSqr().redISub(e).redISub(t),a=i.redAdd(t),o=a.redSub(r),s=i.redISub(t),f=n.redMul(o),c=a.redMul(s),d=n.redMul(s),u=o.redMul(a);return this.curve.point(f,c,u,d)}getX(){return this.normalize(),this.x.fromRed()}getY(){return this.normalize(),this.y.fromRed()}eq(e){if(j(e instanceof w),j(!this.z.isZero()),j(!e.z.isZero()),this===e)return!0;if(this.z.eq(e.z))return this.x.eq(e.x)&&this.y.eq(e.y);const t=this.x.redMul(e.z),r=e.x.redMul(this.z);if(!t.eq(r))return!1;const i=this.y.redMul(e.z),n=e.y.redMul(this.z);return i.eq(n)}cmp(e){return j(e instanceof w),this.order().cmp(e.order())||this.getY().cmp(e.getY())||this.getX().cmp(e.getX())}isInfinity(){return j(!this.z.isZero()),!!this.x.isZero()&&this.y.eq(this.z)}isOrder2(){return!this.isInfinity()&&this.x.isZero()}isOdd(){return this.normalize(),this.x.redIsOdd()}isEven(){return this.normalize(),this.x.redIsEven()}toP(){return this.normalize()}toJ(){return this}encode(){const e=this.getY();return e.setn(this.curve.signBit,this.x.redIsOdd()),this.curve.encodeAdjusted(e)}static decode(e,t){j(e instanceof y);const r=e.decodeAdjusted(t),i=0!==r.testn(e.signBit);if(r.setn(e.signBit,0),r.cmp(e.p)>=0)throw new Error("Invalid point.");return e.pointFromY(r,i)}toJSON(e){if(this.isInfinity())return[];const t=this.getX().toJSON(),r=this.getY().toJSON();return!0===e&&this.pre?[t,r,this.pre.toJSON()]:[t,r]}toPretty(){const e=2*this.curve.fieldSize;return[L(this.getX(),e),L(this.getY(),e)]}static fromJSON(e,t){if(j(e instanceof y),j(Array.isArray(t)),j(0===t.length||2===t.length||3===t.length),0===t.length)return e.point();const r=n.fromJSON(t[0]),i=n.fromJSON(t[1]),a=e.point(r,i);return t.length>2&&null!=t[2]&&(a.pre=_.fromJSON(a,t[2])),a}[i](){return this.isInfinity()?"<EdwardsPoint: Infinity>":"<EdwardsPoint: x="+this.x.fromRed().toString(16,2)+" y="+this.y.fromRed().toString(16,2)+" z="+this.z.fromRed().toString(16,2)+">"}}class _{constructor(){this.naf=null,this.windows=null,this.doubles=null,this.blinding=null,this.beta=null}map(e){j("function"==typeof e);const t=new this.constructor;return this.naf&&(t.naf=this.naf.map(e)),this.doubles&&(t.doubles=this.doubles.map(e)),t}toJSON(){return{naf:this.naf?this.naf.toJSON():null,windows:this.windows?this.windows.toJSON():null,doubles:this.doubles?this.doubles.toJSON():null,blinding:this.blinding?this.blinding.toJSON():void 0}}fromJSON(e,t){return j(e instanceof h),j(t&&"object"==typeof t),null!=t.naf&&(this.naf=M.fromJSON(e,t.naf)),null!=t.windows&&(this.windows=S.fromJSON(e,t.windows)),null!=t.doubles&&(this.doubles=k.fromJSON(e,t.doubles)),null!=t.blinding&&(this.blinding=E.fromJSON(e,t.blinding)),this}static fromJSON(e,t){return(new this).fromJSON(e,t)}}class M{constructor(e,t){this.width=e,this.points=t}map(e){j("function"==typeof e);const{width:t}=this,r=[];for(const t of this.points)r.push(e(t));return new this.constructor(t,r)}toJSON(){return{width:this.width,points:this.points.slice(1).map(e=>e.toJSON())}}static fromJSON(e,t){j(e instanceof h),j(t&&"object"==typeof t),j(t.width>>>0===t.width),j(Array.isArray(t.points));const{curve:r}=e,{width:i}=t,n=[e];for(const e of t.points)n.push(r.pointFromJSON(e));return new this(i,n)}}class S{constructor(e,t,r){this.width=e,this.bits=t,this.points=r}toJSON(){return{width:this.width,bits:this.bits,points:this.points.slice(1).map(e=>e.toJSON())}}static fromJSON(e,t){j(e instanceof h),j(t&&"object"==typeof t),j(t.width>>>0===t.width),j(t.bits>>>0===t.bits),j(Array.isArray(t.points));const{curve:r}=e,{width:i,bits:n}=t,a=[e];for(const e of t.points)a.push(r.pointFromJSON(e));return new this(i,n,a)}}class k{constructor(e,t){this.step=e,this.points=t}map(e){j("function"==typeof e);const{step:t}=this,r=[];for(const t of this.points)r.push(e(t));return new this.constructor(t,r)}toJSON(){return{step:this.step,points:this.points.slice(1).map(e=>e.toJSON())}}static fromJSON(e,t){j(e instanceof h),j(t&&"object"==typeof t),j(t.step>>>0===t.step),j(Array.isArray(t.points));const{curve:r}=e,{step:i}=t,n=[e];for(const e of t.points)n.push(r.pointFromJSON(e));return new this(i,n)}}class E{constructor(e,t){this.blind=e,this.unblind=t}toJSON(){return{blind:this.blind.toJSON(),unblind:this.unblind.toJSON()}}static fromJSON(e,t){j(e instanceof h),j(t&&"object"==typeof t);const{curve:r}=e;return new this(n.fromJSON(t.blind),r.pointFromJSON(t.unblind))}}class x{constructor(e,t,r,i){this.beta=e,this.lambda=t,this.basis=r,this.pre=i}toJSON(){return{beta:this.beta.fromRed().toJSON(),lambda:this.lambda.toJSON(),basis:[this.basis[0].toJSON(),this.basis[1].toJSON()],pre:[this.pre[0],this.pre[1].toJSON(),this.pre[2].toJSON()]}}static fromJSON(e,t){j(e instanceof u),j(t&&"object"==typeof t),j(Array.isArray(t.basis)),j(Array.isArray(t.pre)),j(2===t.basis.length),j(3===t.pre.length),j(t.pre[0]>>>0===t.pre[0]);return new this(n.fromJSON(t.beta).toRed(e.red),n.fromJSON(t.lambda),[z.fromJSON(t.basis[0]),z.fromJSON(t.basis[1])],[t.pre[0],n.fromJSON(t.pre[1]),n.fromJSON(t.pre[2])])}}class z{constructor(e,t){this.a=e,this.b=t}toJSON(){return{a:this.a.toJSON(),b:this.b.toJSON()}}static fromJSON(e){j(e&&"object"==typeof e);return new this(n.fromJSON(e.a),n.fromJSON(e.b))}}const A={__proto__:null,P192:class extends l{constructor(e){super({id:"P192",ossl:"prime192v1",type:"short",endian:"be",hash:"SHA256",prime:"p192",p:["ffffffff ffffffff ffffffff fffffffe","ffffffff ffffffff"],a:["ffffffff ffffffff ffffffff fffffffe","ffffffff fffffffc"],b:["64210519 e59c80e7 0fa7e9ab 72243049","feb8deec c146b9b1"],n:["ffffffff ffffffff ffffffff 99def836","146bc9b1 b4d22831"],h:"1",z:"-5",g:[["188da80e b03090f6 7cbf20eb 43a18800","f4ff0afd 82ff1012"],["07192b95 ffc8da78 631011ed 6b24cdd5","73f977a1 1e794811"],e]})}},P224:class extends l{constructor(e){super({id:"P224",ossl:"secp224r1",type:"short",endian:"be",hash:"SHA256",prime:"p224",p:["ffffffff ffffffff ffffffff ffffffff","00000000 00000000 00000001"],a:["ffffffff ffffffff ffffffff fffffffe","ffffffff ffffffff fffffffe"],b:["b4050a85 0c04b3ab f5413256 5044b0b7","d7bfd8ba 270b3943 2355ffb4"],n:["ffffffff ffffffff ffffffff ffff16a2","e0b8f03e 13dd2945 5c5c2a3d"],h:"1",z:"1f",g:[["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3","56c21122 343280d6 115c1d21"],["bd376388 b5f723fb 4c22dfe6 cd4375a0","5a074764 44d58199 85007e34"],e]})}},P256:class extends l{constructor(e){super({id:"P256",ossl:"prime256v1",type:"short",endian:"be",hash:"SHA256",prime:null,p:["ffffffff 00000001 00000000 00000000","00000000 ffffffff ffffffff ffffffff"],a:["ffffffff 00000001 00000000 00000000","00000000 ffffffff ffffffff fffffffc"],b:["5ac635d8 aa3a93e7 b3ebbd55 769886bc","651d06b0 cc53b0f6 3bce3c3e 27d2604b"],n:["ffffffff 00000000 ffffffff ffffffff","bce6faad a7179e84 f3b9cac2 fc632551"],h:"1",z:"-a",g:[["6b17d1f2 e12c4247 f8bce6e5 63a440f2","77037d81 2deb33a0 f4a13945 d898c296"],["4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16","2bce3357 6b315ece cbb64068 37bf51f5"],e]})}},P384:class extends l{constructor(e){super({id:"P384",ossl:"secp384r1",type:"short",endian:"be",hash:"SHA384",prime:null,p:["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff fffffffe","ffffffff 00000000 00000000 ffffffff"],a:["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff fffffffe","ffffffff 00000000 00000000 fffffffc"],b:["b3312fa7 e23ee7e4 988e056b e3f82d19","181d9c6e fe814112 0314088f 5013875a","c656398d 8a2ed19d 2a85c8ed d3ec2aef"],n:["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff c7634d81 f4372ddf","581a0db2 48b0a77a ecec196a ccc52973"],h:"1",z:"-c",g:[["aa87ca22 be8b0537 8eb1c71e f320ad74","6e1d3b62 8ba79b98 59f741e0 82542a38","5502f25d bf55296c 3a545e38 72760ab7"],["3617de4a 96262c6f 5d9e98bf 9292dc29","f8f41dbd 289a147c e9da3113 b5f0b8c0","0a60b1ce 1d7e819d 7a431d7c 90ea0e5f"],e]})}},P521:class extends l{constructor(e){super({id:"P521",ossl:"secp521r1",type:"short",endian:"be",hash:"SHA512",prime:"p521",p:["000001ff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff"],a:["000001ff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","fffffffc"],b:["00000051 953eb961 8e1c9a1f 929a21a0","b68540ee a2da725b 99b315f3 b8b48991","8ef109e1 56193951 ec7e937b 1652c0bd","3bb1bf07 3573df88 3d2c34f1 ef451fd4","6b503f00"],n:["000001ff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffff","fffffffa 51868783 bf2f966b 7fcc0148","f709a5d0 3bb5c9b8 899c47ae bb6fb71e","91386409"],h:"1",z:"-4",g:[["000000c6 858e06b7 0404e9cd 9e3ecb66","2395b442 9c648139 053fb521 f828af60","6b4d3dba a14b5e77 efe75928 fe1dc127","a2ffa8de 3348b3c1 856a429b f97e7e31","c2e5bd66"],["00000118 39296a78 9a3bc004 5c8a5fb4","2c7d1bd9 98f54449 579b4468 17afbd17","273e662c 97ee7299 5ef42640 c550b901","3fad0761 353c7086 a272c240 88be9476","9fd16650"],e]})}},SECP256K1:class extends l{constructor(e){super({id:"SECP256K1",ossl:"secp256k1",type:"short",endian:"be",hash:"SHA256",prime:"k256",p:["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe fffffc2f"],a:"0",b:"7",n:["ffffffff ffffffff ffffffff fffffffe","baaedce6 af48a03b bfd25e8c d0364141"],h:"1",z:"1",c:["0a2d2ba9 3507f1df 233770c2 a797962c","c61f6d15 da14ecd4 7d8d27ae 1cd5f852"],g:[["79be667e f9dcbbac 55a06295 ce870b07","029bfcdb 2dce28d9 59f2815b 16f81798"],["483ada77 26a3c465 5da4fbfc 0e1108a8","fd17b448 a6855419 9c47d08f fb10d4b8"],e],endo:{beta:["7ae96a2b 657c0710 6e64479e ac3434e9","9cf04975 12f58995 c1396c28 719501ee"],lambda:["5363ad4c c05c30e0 a5261c02 8812645a","122e22ea 20816678 df02967c 1b23bd72"],basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],pre:[384,["3086d221 a7d46bcd e86c90e4 9284eb15","3daa8a14 71e8ca7f e893209a 45dbb031"],["-","e4437ed6 010e8828 6f547fa9 0abfe4c4","221208ac 9df506c6 1571b4ae 8ac47f71"]]}})}},BRAINPOOLP256:class extends l{constructor(e){super({id:"BRAINPOOLP256",ossl:"brainpoolP256r1",type:"short",endian:"be",hash:"SHA256",prime:null,p:["a9fb57db a1eea9bc 3e660a90 9d838d72","6e3bf623 d5262028 2013481d 1f6e5377"],a:["7d5a0975 fc2c3057 eef67530 417affe7","fb8055c1 26dc5c6c e94a4b44 f330b5d9"],b:["26dc5c6c e94a4b44 f330b5d9 bbd77cbf","95841629 5cf7e1ce 6bccdc18 ff8c07b6"],n:["a9fb57db a1eea9bc 3e660a90 9d838d71","8c397aa3 b561a6f7 901e0e82 974856a7"],h:"1",z:"-2",g:[["8bd2aeb9 cb7e57cb 2c4b482f fc81b7af","b9de27e1 e3bd23c2 3a4453bd 9ace3262"],["547ef835 c3dac4fd 97f8461a 14611dc9","c2774513 2ded8e54 5c1d54c7 2f046997"],e]})}},BRAINPOOLP384:class extends l{constructor(e){super({id:"BRAINPOOLP384",ossl:"brainpoolP384r1",type:"short",endian:"be",hash:"SHA384",prime:null,p:["8cb91e82 a3386d28 0f5d6f7e 50e641df","152f7109 ed5456b4 12b1da19 7fb71123","acd3a729 901d1a71 87470013 3107ec53"],a:["7bc382c6 3d8c150c 3c72080a ce05afa0","c2bea28e 4fb22787 139165ef ba91f90f","8aa5814a 503ad4eb 04a8c7dd 22ce2826"],b:["04a8c7dd 22ce2826 8b39b554 16f0447c","2fb77de1 07dcd2a6 2e880ea5 3eeb62d5","7cb43902 95dbc994 3ab78696 fa504c11"],n:["8cb91e82 a3386d28 0f5d6f7e 50e641df","152f7109 ed5456b3 1f166e6c ac0425a7","cf3ab6af 6b7fc310 3b883202 e9046565"],h:"1",z:"-5",g:[["1d1c64f0 68cf45ff a2a63a81 b7c13f6b","8847a3e7 7ef14fe3 db7fcafe 0cbd10e8","e826e034 36d646aa ef87b2e2 47d4af1e"],["8abe1d75 20f9c2a4 5cb1eb8e 95cfd552","62b70b29 feec5864 e19c054f f9912928","0e464621 77918111 42820341 263c5315"],e]})}},BRAINPOOLP512:class extends l{constructor(e){super({id:"BRAINPOOLP512",ossl:"brainpoolP512r1",type:"short",endian:"be",hash:"SHA512",prime:null,p:["aadd9db8 dbe9c48b 3fd4e6ae 33c9fc07","cb308db3 b3c9d20e d6639cca 70330871","7d4d9b00 9bc66842 aecda12a e6a380e6","2881ff2f 2d82c685 28aa6056 583a48f3"],a:["7830a331 8b603b89 e2327145 ac234cc5","94cbdd8d 3df91610 a83441ca ea9863bc","2ded5d5a a8253aa1 0a2ef1c9 8b9ac8b5","7f1117a7 2bf2c7b9 e7c1ac4d 77fc94ca"],b:["3df91610 a83441ca ea9863bc 2ded5d5a","a8253aa1 0a2ef1c9 8b9ac8b5 7f1117a7","2bf2c7b9 e7c1ac4d 77fc94ca dc083e67","984050b7 5ebae5dd 2809bd63 8016f723"],n:["aadd9db8 dbe9c48b 3fd4e6ae 33c9fc07","cb308db3 b3c9d20e d6639cca 70330870","553e5c41 4ca92619 41866119 7fac1047","1db1d381 085ddadd b5879682 9ca90069"],h:"1",z:"7",g:[["81aee4bd d82ed964 5a21322e 9c4c6a93","85ed9f70 b5d916c1 b43b62ee f4d0098e","ff3b1f78 e2d0d48d 50d1687b 93b97d5f","7c6d5047 406a5e68 8b352209 bcb9f822"],["7dde385d 566332ec c0eabfa9 cf7822fd","f209f700 24a57b1a a000c55b 881f8111","b2dcde49 4a5f485e 5bca4bd8 8a2763ae","d1ca2b2f a8f05406 78cd1e0f 3ad80892"],e]})}},X25519:class extends m{constructor(){super({id:"X25519",ossl:"X25519",type:"mont",endian:"le",hash:"SHA512",prime:"p25519",p:["7fffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffed"],a:"76d06",b:"1",n:["10000000 00000000 00000000 00000000","14def9de a2f79cd6 5812631a 5cf5d3ed"],h:"8",z:"2",g:[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000009"],["5f51e65e 475f794b 1fe122d3 88b72eb3","6dc2b281 92839e4d d6163a5d 81312c14"]],torsion:[[],[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000"],["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000"]],[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000001"],["6be4f497 f9a9c2af c21fa77a d7f4a6ef","635a11c7 284a9363 e9a248ef 9c884415"]],[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000001"],["141b0b68 06563d50 3de05885 280b5910","9ca5ee38 d7b56c9c 165db710 6377bbd8"]],[["57119fd0 dd4e22d8 868e1c58 c45c4404","5bef839c 55b1d0b1 248c50a3 bc959c5f"],["68c59389 3d458e64 31c6ca00 45fb5015","20a44346 8eaa68dd 0f103842 048065b7"]],[["57119fd0 dd4e22d8 868e1c58 c45c4404","5bef839c 55b1d0b1 248c50a3 bc959c5f"],["173a6c76 c2ba719b ce3935ff ba04afea","df5bbcb9 71559722 f0efc7bd fb7f9a36"]],[["00b8495f 16056286 fdb1329c eb8d09da","6ac49ff1 fae35616 aeb8413b 7c7aebe0"],["3931c129 569e83a5 29482c14 e628b457","933bfc29 ed801b4d 68871483 92507b1a"]],[["00b8495f 16056286 fdb1329c eb8d09da","6ac49ff1 fae35616 aeb8413b 7c7aebe0"],["46ce3ed6 a9617c5a d6b7d3eb 19d74ba8","6cc403d6 127fe4b2 9778eb7c 6daf84d3"]]]})}},X448:class extends m{constructor(){super({id:"X448",ossl:"X448",type:"mont",endian:"le",hash:"SHAKE256",prime:"p448",p:["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff"],a:"262a6",b:"1",n:["3fffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff 7cca23e9","c44edb49 aed63690 216cc272 8dc58f55","2378c292 ab5844f3"],h:"4",z:"-1",g:[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000005"],["7d235d12 95f5b1f6 6c98ab6e 58326fce","cbae5d34 f55545d0 60f75dc2 8df3f6ed","b8027e23 46430d21 1312c4b1 50677af7","6fd7223d 457b5b1a"]],torsion:[[],[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000"],["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000"]],[["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff fffffffe"],["ba4d3a08 29b6112f 8812e51b a0bb2abe","bc1cb08e b48e5569 36ba50fd d2e7d68a","f8cb3216 0522425b 3f990812 abbe635a","d37a21e1 7551b193"]],[["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff fffffffe"],["45b2c5f7 d649eed0 77ed1ae4 5f44d541","43e34f71 4b71aa96 c945af01 2d182975","0734cde9 faddbda4 c066f7ed 54419ca5","2c85de1e 8aae4e6c"]]]})}},MONT448:class extends m{constructor(){super({id:"MONT448",ossl:null,type:"mont",endian:"le",hash:"SHAKE256",prime:"p448",p:["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff"],a:["b2cf97d2 d43459a9 31ed36b1 fc4e3cb5","5d93f8d2 22746997 60ccffc6 49961ed6","c5b05fca c24864ed 6fb59697 931b78da","84ddecd8 ca2b5cfb"],b:"1",n:["3fffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff 7cca23e9","c44edb49 aed63690 216cc272 8dc58f55","2378c292 ab5844f3"],h:"4",z:"-1",g:[["ac0d24cc c6c75cb0 eb71f81e 7a6edf51","48e88aee 009a2a24 e795687e c28e125a","3e6730a6 0d46367b aa7fe99d 152128dc","41321bc7 7817f059"],["5a4437f6 80c0d0db 9b061276 d5d0ffcc","e786ff33 b6a53d30 98746425 82e66f09","4433dae7 7244a6e2 6b11e905 7228f483","556c41a5 913f55fe"]],torsion:[[],[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000"],["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000","00000000 00000000"]],[["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff fffffffe"],["bec92fd0 6da2acf2 b4e261e8 7cef0d34","22e75c18 3c589857 b71924e5 73c2f9ce","e18da5f2 466e2f39 3c2eedf0 f105a60a","b40c717d 4f1e1fd7"]],[["ffffffff ffffffff ffffffff ffffffff","ffffffff ffffffff fffffffe ffffffff","ffffffff ffffffff ffffffff ffffffff","ffffffff fffffffe"],["4136d02f 925d530d 4b1d9e17 8310f2cb","dd18a3e7 c3a767a8 48e6db19 8c3d0631","1e725a0d b991d0c6 c3d1120f 0efa59f5","4bf38e82 b0e1e028"]]]})}},ED25519:class extends y{constructor(e){super({id:"ED25519",ossl:"ED25519",type:"edwards",endian:"le",hash:"SHA512",prefix:"SigEd25519 no Ed25519 collisions",context:!1,prime:"p25519",p:["7fffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffed"],a:"-1",d:["52036cee 2b6ffe73 8cc74079 7779e898","00700a4d 4141d8ab 75eb4dca 135978a3"],n:["10000000 00000000 00000000 00000000","14def9de a2f79cd6 5812631a 5cf5d3ed"],h:"8",z:"2",g:[["216936d3 cd6e53fe c0a4e231 fdd6dc5c","692cc760 9525a7b2 c9562d60 8f25d51a"],["66666666 66666666 66666666 66666666","66666666 66666666 66666666 66666658"],e],torsion:[[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000"],["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000001"]],[["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000"],["7fffffff ffffffff ffffffff ffffffff","ffffffff ffffffff ffffffff ffffffec"]],[["2b832480 4fc1df0b 2b4d0099 3dfbd7a7","2f431806 ad2fe478 c4ee1b27 4a0ea0b0"],["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000"]],[["547cdb7f b03e20f4 d4b2ff66 c2042858","d0bce7f9 52d01b87 3b11e4d8 b5f15f3d"],["00000000 00000000 00000000 00000000","00000000 00000000 00000000 00000000"]],[["1fd5b9a0 06394a28 e9339932 38de4abb","5c193c70 13e5e238 dea14646 c545d14a"],["05fc536d 880238b1 3933c6d3 05acdfd5","f098eff2 89f4c345 b027b2c2 8f95e826"]],[["602a465f f9c6b5d7 16cc66cd c721b544","a3e6c38f ec1a1dc7 215eb9b9 3aba2ea3"],["05fc536d 880238b1 3933c6d3 05acdfd5","f098eff2 89f4c345 b027b2c2 8f95e826"]],[["1fd5b9a0 06394a28 e9339932 38de4abb","5c193c70 13e5e238 dea14646 c545d14a"],["7a03ac92 77fdc74e c6cc392c fa53202a","0f67100d 760b3cba 4fd84d3d 706a17c7"]],[["602a465f f9c6b5d7 16cc66cd c721b544","a3e6c38f ec1a1dc7 215eb9b9 3aba2ea3"],["7a03ac92 77fdc74e c6cc392c fa53202a","0f67100d 760b3cba 4fd84d3d 706a17c7"]]]})}},ISO448:class extends 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/*! ieee754. BSD-3-Clause License. Feross Aboukhadijeh <https://feross.org/opensource> */
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n=0,a=0;a<i.length;a++)t=(0|r.words[a])+(0|i.words[a])+n,this.words[a]=67108863&t,n=t>>>26;for(;0!==n&&a<r.length;a++)t=(0|r.words[a])+n,this.words[a]=67108863&t,n=t>>>26;if(this.length=r.length,0!==n)this.words[this.length]=n,this.length++;else if(r!==this)for(;a<r.length;a++)this.words[a]=r.words[a];return this},a.prototype.add=function(e){var t;return 0!==e.negative&&0===this.negative?(e.negative=0,t=this.sub(e),e.negative^=1,t):0===e.negative&&0!==this.negative?(this.negative=0,t=e.sub(this),this.negative=1,t):this.length>e.length?this.clone().iadd(e):e.clone().iadd(this)},a.prototype.isub=function(e){if(0!==e.negative){e.negative=0;var t=this.iadd(e);return e.negative=1,t._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(e),this.negative=1,this._normSign();var r,i,n=this.cmp(e);if(0===n)return this.negative=0,this.length=1,this.words[0]=0,this;n>0?(r=this,i=e):(r=e,i=this);for(var a=0,o=0;o<i.length;o++)a=(t=(0|r.words[o])-(0|i.words[o])+a)>>26,this.words[o]=67108863&t;for(;0!==a&&o<r.length;o++)a=(t=(0|r.words[o])+a)>>26,this.words[o]=67108863&t;if(0===a&&o<r.length&&r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this.length=Math.max(this.length,o),r!==this&&(this.negative=1),this._strip()},a.prototype.sub=function(e){return this.clone().isub(e)};var p=function(e,t,r){var i,n,a,o=e.words,s=t.words,f=r.words,c=0,d=0|o[0],u=8191&d,h=d>>>13,l=0|o[1],b=8191&l,p=l>>>13,m=0|o[2],g=8191&m,v=m>>>13,y=0|o[3],w=8191&y,_=y>>>13,M=0|o[4],S=8191&M,k=M>>>13,E=0|o[5],x=8191&E,z=E>>>13,A=0|o[6],I=8191&A,q=A>>>13,R=0|o[7],j=8191&R,B=R>>>13,N=0|o[8],O=8191&N,T=N>>>13,P=0|o[9],L=8191&P,D=P>>>13,C=0|s[0],U=8191&C,F=C>>>13,K=0|s[1],J=8191&K,Z=K>>>13,H=0|s[2],W=8191&H,X=H>>>13,Y=0|s[3],V=8191&Y,G=Y>>>13,$=0|s[4],Q=8191&$,ee=$>>>13,te=0|s[5],re=8191&te,ie=te>>>13,ne=0|s[6],ae=8191&ne,oe=ne>>>13,se=0|s[7],fe=8191&se,ce=se>>>13,de=0|s[8],ue=8191&de,he=de>>>13,le=0|s[9],be=8191&le,pe=le>>>13;r.negative=e.negative^t.negative,r.length=19;var me=(c+(i=Math.imul(u,U))|0)+((8191&(n=(n=Math.imul(u,F))+Math.imul(h,U)|0))<<13)|0;c=((a=Math.imul(h,F))+(n>>>13)|0)+(me>>>26)|0,me&=67108863,i=Math.imul(b,U),n=(n=Math.imul(b,F))+Math.imul(p,U)|0,a=Math.imul(p,F);var ge=(c+(i=i+Math.imul(u,J)|0)|0)+((8191&(n=(n=n+Math.imul(u,Z)|0)+Math.imul(h,J)|0))<<13)|0;c=((a=a+Math.imul(h,Z)|0)+(n>>>13)|0)+(ge>>>26)|0,ge&=67108863,i=Math.imul(g,U),n=(n=Math.imul(g,F))+Math.imul(v,U)|0,a=Math.imul(v,F),i=i+Math.imul(b,J)|0,n=(n=n+Math.imul(b,Z)|0)+Math.imul(p,J)|0,a=a+Math.imul(p,Z)|0;var ve=(c+(i=i+Math.imul(u,W)|0)|0)+((8191&(n=(n=n+Math.imul(u,X)|0)+Math.imul(h,W)|0))<<13)|0;c=((a=a+Math.imul(h,X)|0)+(n>>>13)|0)+(ve>>>26)|0,ve&=67108863,i=Math.imul(w,U),n=(n=Math.imul(w,F))+Math.imul(_,U)|0,a=Math.imul(_,F),i=i+Math.imul(g,J)|0,n=(n=n+Math.imul(g,Z)|0)+Math.imul(v,J)|0,a=a+Math.imul(v,Z)|0,i=i+Math.imul(b,W)|0,n=(n=n+Math.imul(b,X)|0)+Math.imul(p,W)|0,a=a+Math.imul(p,X)|0;var ye=(c+(i=i+Math.imul(u,V)|0)|0)+((8191&(n=(n=n+Math.imul(u,G)|0)+Math.imul(h,V)|0))<<13)|0;c=((a=a+Math.imul(h,G)|0)+(n>>>13)|0)+(ye>>>26)|0,ye&=67108863,i=Math.imul(S,U),n=(n=Math.imul(S,F))+Math.imul(k,U)|0,a=Math.imul(k,F),i=i+Math.imul(w,J)|0,n=(n=n+Math.imul(w,Z)|0)+Math.imul(_,J)|0,a=a+Math.imul(_,Z)|0,i=i+Math.imul(g,W)|0,n=(n=n+Math.imul(g,X)|0)+Math.imul(v,W)|0,a=a+Math.imul(v,X)|0,i=i+Math.imul(b,V)|0,n=(n=n+Math.imul(b,G)|0)+Math.imul(p,V)|0,a=a+Math.imul(p,G)|0;var we=(c+(i=i+Math.imul(u,Q)|0)|0)+((8191&(n=(n=n+Math.imul(u,ee)|0)+Math.imul(h,Q)|0))<<13)|0;c=((a=a+Math.imul(h,ee)|0)+(n>>>13)|0)+(we>>>26)|0,we&=67108863,i=Math.imul(x,U),n=(n=Math.imul(x,F))+Math.imul(z,U)|0,a=Math.imul(z,F),i=i+Math.imul(S,J)|0,n=(n=n+Math.imul(S,Z)|0)+Math.imul(k,J)|0,a=a+Math.imul(k,Z)|0,i=i+Math.imul(w,W)|0,n=(n=n+Math.imul(w,X)|0)+Math.imul(_,W)|0,a=a+Math.imul(_,X)|0,i=i+Math.imul(g,V)|0,n=(n=n+Math.imul(g,G)|0)+Math.imul(v,V)|0,a=a+Math.imul(v,G)|0,i=i+Math.imul(b,Q)|0,n=(n=n+Math.imul(b,ee)|0)+Math.imul(p,Q)|0,a=a+Math.imul(p,ee)|0;var _e=(c+(i=i+Math.imul(u,re)|0)|0)+((8191&(n=(n=n+Math.imul(u,ie)|0)+Math.imul(h,re)|0))<<13)|0;c=((a=a+Math.imul(h,ie)|0)+(n>>>13)|0)+(_e>>>26)|0,_e&=67108863,i=Math.imul(I,U),n=(n=Math.imul(I,F))+Math.imul(q,U)|0,a=Math.imul(q,F),i=i+Math.imul(x,J)|0,n=(n=n+Math.imul(x,Z)|0)+Math.imul(z,J)|0,a=a+Math.imul(z,Z)|0,i=i+Math.imul(S,W)|0,n=(n=n+Math.imul(S,X)|0)+Math.imul(k,W)|0,a=a+Math.imul(k,X)|0,i=i+Math.imul(w,V)|0,n=(n=n+Math.imul(w,G)|0)+Math.imul(_,V)|0,a=a+Math.imul(_,G)|0,i=i+Math.imul(g,Q)|0,n=(n=n+Math.imul(g,ee)|0)+Math.imul(v,Q)|0,a=a+Math.imul(v,ee)|0,i=i+Math.imul(b,re)|0,n=(n=n+Math.imul(b,ie)|0)+Math.imul(p,re)|0,a=a+Math.imul(p,ie)|0;var Me=(c+(i=i+Math.imul(u,ae)|0)|0)+((8191&(n=(n=n+Math.imul(u,oe)|0)+Math.imul(h,ae)|0))<<13)|0;c=((a=a+Math.imul(h,oe)|0)+(n>>>13)|0)+(Me>>>26)|0,Me&=67108863,i=Math.imul(j,U),n=(n=Math.imul(j,F))+Math.imul(B,U)|0,a=Math.imul(B,F),i=i+Math.imul(I,J)|0,n=(n=n+Math.imul(I,Z)|0)+Math.imul(q,J)|0,a=a+Math.imul(q,Z)|0,i=i+Math.imul(x,W)|0,n=(n=n+Math.imul(x,X)|0)+Math.imul(z,W)|0,a=a+Math.imul(z,X)|0,i=i+Math.imul(S,V)|0,n=(n=n+Math.imul(S,G)|0)+Math.imul(k,V)|0,a=a+Math.imul(k,G)|0,i=i+Math.imul(w,Q)|0,n=(n=n+Math.imul(w,ee)|0)+Math.imul(_,Q)|0,a=a+Math.imul(_,ee)|0,i=i+Math.imul(g,re)|0,n=(n=n+Math.imul(g,ie)|0)+Math.imul(v,re)|0,a=a+Math.imul(v,ie)|0,i=i+Math.imul(b,ae)|0,n=(n=n+Math.imul(b,oe)|0)+Math.imul(p,ae)|0,a=a+Math.imul(p,oe)|0;var Se=(c+(i=i+Math.imul(u,fe)|0)|0)+((8191&(n=(n=n+Math.imul(u,ce)|0)+Math.imul(h,fe)|0))<<13)|0;c=((a=a+Math.imul(h,ce)|0)+(n>>>13)|0)+(Se>>>26)|0,Se&=67108863,i=Math.imul(O,U),n=(n=Math.imul(O,F))+Math.imul(T,U)|0,a=Math.imul(T,F),i=i+Math.imul(j,J)|0,n=(n=n+Math.imul(j,Z)|0)+Math.imul(B,J)|0,a=a+Math.imul(B,Z)|0,i=i+Math.imul(I,W)|0,n=(n=n+Math.imul(I,X)|0)+Math.imul(q,W)|0,a=a+Math.imul(q,X)|0,i=i+Math.imul(x,V)|0,n=(n=n+Math.imul(x,G)|0)+Math.imul(z,V)|0,a=a+Math.imul(z,G)|0,i=i+Math.imul(S,Q)|0,n=(n=n+Math.imul(S,ee)|0)+Math.imul(k,Q)|0,a=a+Math.imul(k,ee)|0,i=i+Math.imul(w,re)|0,n=(n=n+Math.imul(w,ie)|0)+Math.imul(_,re)|0,a=a+Math.imul(_,ie)|0,i=i+Math.imul(g,ae)|0,n=(n=n+Math.imul(g,oe)|0)+Math.imul(v,ae)|0,a=a+Math.imul(v,oe)|0,i=i+Math.imul(b,fe)|0,n=(n=n+Math.imul(b,ce)|0)+Math.imul(p,fe)|0,a=a+Math.imul(p,ce)|0;var ke=(c+(i=i+Math.imul(u,ue)|0)|0)+((8191&(n=(n=n+Math.imul(u,he)|0)+Math.imul(h,ue)|0))<<13)|0;c=((a=a+Math.imul(h,he)|0)+(n>>>13)|0)+(ke>>>26)|0,ke&=67108863,i=Math.imul(L,U),n=(n=Math.imul(L,F))+Math.imul(D,U)|0,a=Math.imul(D,F),i=i+Math.imul(O,J)|0,n=(n=n+Math.imul(O,Z)|0)+Math.imul(T,J)|0,a=a+Math.imul(T,Z)|0,i=i+Math.imul(j,W)|0,n=(n=n+Math.imul(j,X)|0)+Math.imul(B,W)|0,a=a+Math.imul(B,X)|0,i=i+Math.imul(I,V)|0,n=(n=n+Math.imul(I,G)|0)+Math.imul(q,V)|0,a=a+Math.imul(q,G)|0,i=i+Math.imul(x,Q)|0,n=(n=n+Math.imul(x,ee)|0)+Math.imul(z,Q)|0,a=a+Math.imul(z,ee)|0,i=i+Math.imul(S,re)|0,n=(n=n+Math.imul(S,ie)|0)+Math.imul(k,re)|0,a=a+Math.imul(k,ie)|0,i=i+Math.imul(w,ae)|0,n=(n=n+Math.imul(w,oe)|0)+Math.imul(_,ae)|0,a=a+Math.imul(_,oe)|0,i=i+Math.imul(g,fe)|0,n=(n=n+Math.imul(g,ce)|0)+Math.imul(v,fe)|0,a=a+Math.imul(v,ce)|0,i=i+Math.imul(b,ue)|0,n=(n=n+Math.imul(b,he)|0)+Math.imul(p,ue)|0,a=a+Math.imul(p,he)|0;var Ee=(c+(i=i+Math.imul(u,be)|0)|0)+((8191&(n=(n=n+Math.imul(u,pe)|0)+Math.imul(h,be)|0))<<13)|0;c=((a=a+Math.imul(h,pe)|0)+(n>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,i=Math.imul(L,J),n=(n=Math.imul(L,Z))+Math.imul(D,J)|0,a=Math.imul(D,Z),i=i+Math.imul(O,W)|0,n=(n=n+Math.imul(O,X)|0)+Math.imul(T,W)|0,a=a+Math.imul(T,X)|0,i=i+Math.imul(j,V)|0,n=(n=n+Math.imul(j,G)|0)+Math.imul(B,V)|0,a=a+Math.imul(B,G)|0,i=i+Math.imul(I,Q)|0,n=(n=n+Math.imul(I,ee)|0)+Math.imul(q,Q)|0,a=a+Math.imul(q,ee)|0,i=i+Math.imul(x,re)|0,n=(n=n+Math.imul(x,ie)|0)+Math.imul(z,re)|0,a=a+Math.imul(z,ie)|0,i=i+Math.imul(S,ae)|0,n=(n=n+Math.imul(S,oe)|0)+Math.imul(k,ae)|0,a=a+Math.imul(k,oe)|0,i=i+Math.imul(w,fe)|0,n=(n=n+Math.imul(w,ce)|0)+Math.imul(_,fe)|0,a=a+Math.imul(_,ce)|0,i=i+Math.imul(g,ue)|0,n=(n=n+Math.imul(g,he)|0)+Math.imul(v,ue)|0,a=a+Math.imul(v,he)|0;var xe=(c+(i=i+Math.imul(b,be)|0)|0)+((8191&(n=(n=n+Math.imul(b,pe)|0)+Math.imul(p,be)|0))<<13)|0;c=((a=a+Math.imul(p,pe)|0)+(n>>>13)|0)+(xe>>>26)|0,xe&=67108863,i=Math.imul(L,W),n=(n=Math.imul(L,X))+Math.imul(D,W)|0,a=Math.imul(D,X),i=i+Math.imul(O,V)|0,n=(n=n+Math.imul(O,G)|0)+Math.imul(T,V)|0,a=a+Math.imul(T,G)|0,i=i+Math.imul(j,Q)|0,n=(n=n+Math.imul(j,ee)|0)+Math.imul(B,Q)|0,a=a+Math.imul(B,ee)|0,i=i+Math.imul(I,re)|0,n=(n=n+Math.imul(I,ie)|0)+Math.imul(q,re)|0,a=a+Math.imul(q,ie)|0,i=i+Math.imul(x,ae)|0,n=(n=n+Math.imul(x,oe)|0)+Math.imul(z,ae)|0,a=a+Math.imul(z,oe)|0,i=i+Math.imul(S,fe)|0,n=(n=n+Math.imul(S,ce)|0)+Math.imul(k,fe)|0,a=a+Math.imul(k,ce)|0,i=i+Math.imul(w,ue)|0,n=(n=n+Math.imul(w,he)|0)+Math.imul(_,ue)|0,a=a+Math.imul(_,he)|0;var ze=(c+(i=i+Math.imul(g,be)|0)|0)+((8191&(n=(n=n+Math.imul(g,pe)|0)+Math.imul(v,be)|0))<<13)|0;c=((a=a+Math.imul(v,pe)|0)+(n>>>13)|0)+(ze>>>26)|0,ze&=67108863,i=Math.imul(L,V),n=(n=Math.imul(L,G))+Math.imul(D,V)|0,a=Math.imul(D,G),i=i+Math.imul(O,Q)|0,n=(n=n+Math.imul(O,ee)|0)+Math.imul(T,Q)|0,a=a+Math.imul(T,ee)|0,i=i+Math.imul(j,re)|0,n=(n=n+Math.imul(j,ie)|0)+Math.imul(B,re)|0,a=a+Math.imul(B,ie)|0,i=i+Math.imul(I,ae)|0,n=(n=n+Math.imul(I,oe)|0)+Math.imul(q,ae)|0,a=a+Math.imul(q,oe)|0,i=i+Math.imul(x,fe)|0,n=(n=n+Math.imul(x,ce)|0)+Math.imul(z,fe)|0,a=a+Math.imul(z,ce)|0,i=i+Math.imul(S,ue)|0,n=(n=n+Math.imul(S,he)|0)+Math.imul(k,ue)|0,a=a+Math.imul(k,he)|0;var Ae=(c+(i=i+Math.imul(w,be)|0)|0)+((8191&(n=(n=n+Math.imul(w,pe)|0)+Math.imul(_,be)|0))<<13)|0;c=((a=a+Math.imul(_,pe)|0)+(n>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,i=Math.imul(L,Q),n=(n=Math.imul(L,ee))+Math.imul(D,Q)|0,a=Math.imul(D,ee),i=i+Math.imul(O,re)|0,n=(n=n+Math.imul(O,ie)|0)+Math.imul(T,re)|0,a=a+Math.imul(T,ie)|0,i=i+Math.imul(j,ae)|0,n=(n=n+Math.imul(j,oe)|0)+Math.imul(B,ae)|0,a=a+Math.imul(B,oe)|0,i=i+Math.imul(I,fe)|0,n=(n=n+Math.imul(I,ce)|0)+Math.imul(q,fe)|0,a=a+Math.imul(q,ce)|0,i=i+Math.imul(x,ue)|0,n=(n=n+Math.imul(x,he)|0)+Math.imul(z,ue)|0,a=a+Math.imul(z,he)|0;var Ie=(c+(i=i+Math.imul(S,be)|0)|0)+((8191&(n=(n=n+Math.imul(S,pe)|0)+Math.imul(k,be)|0))<<13)|0;c=((a=a+Math.imul(k,pe)|0)+(n>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,i=Math.imul(L,re),n=(n=Math.imul(L,ie))+Math.imul(D,re)|0,a=Math.imul(D,ie),i=i+Math.imul(O,ae)|0,n=(n=n+Math.imul(O,oe)|0)+Math.imul(T,ae)|0,a=a+Math.imul(T,oe)|0,i=i+Math.imul(j,fe)|0,n=(n=n+Math.imul(j,ce)|0)+Math.imul(B,fe)|0,a=a+Math.imul(B,ce)|0,i=i+Math.imul(I,ue)|0,n=(n=n+Math.imul(I,he)|0)+Math.imul(q,ue)|0,a=a+Math.imul(q,he)|0;var qe=(c+(i=i+Math.imul(x,be)|0)|0)+((8191&(n=(n=n+Math.imul(x,pe)|0)+Math.imul(z,be)|0))<<13)|0;c=((a=a+Math.imul(z,pe)|0)+(n>>>13)|0)+(qe>>>26)|0,qe&=67108863,i=Math.imul(L,ae),n=(n=Math.imul(L,oe))+Math.imul(D,ae)|0,a=Math.imul(D,oe),i=i+Math.imul(O,fe)|0,n=(n=n+Math.imul(O,ce)|0)+Math.imul(T,fe)|0,a=a+Math.imul(T,ce)|0,i=i+Math.imul(j,ue)|0,n=(n=n+Math.imul(j,he)|0)+Math.imul(B,ue)|0,a=a+Math.imul(B,he)|0;var Re=(c+(i=i+Math.imul(I,be)|0)|0)+((8191&(n=(n=n+Math.imul(I,pe)|0)+Math.imul(q,be)|0))<<13)|0;c=((a=a+Math.imul(q,pe)|0)+(n>>>13)|0)+(Re>>>26)|0,Re&=67108863,i=Math.imul(L,fe),n=(n=Math.imul(L,ce))+Math.imul(D,fe)|0,a=Math.imul(D,ce),i=i+Math.imul(O,ue)|0,n=(n=n+Math.imul(O,he)|0)+Math.imul(T,ue)|0,a=a+Math.imul(T,he)|0;var je=(c+(i=i+Math.imul(j,be)|0)|0)+((8191&(n=(n=n+Math.imul(j,pe)|0)+Math.imul(B,be)|0))<<13)|0;c=((a=a+Math.imul(B,pe)|0)+(n>>>13)|0)+(je>>>26)|0,je&=67108863,i=Math.imul(L,ue),n=(n=Math.imul(L,he))+Math.imul(D,ue)|0,a=Math.imul(D,he);var Be=(c+(i=i+Math.imul(O,be)|0)|0)+((8191&(n=(n=n+Math.imul(O,pe)|0)+Math.imul(T,be)|0))<<13)|0;c=((a=a+Math.imul(T,pe)|0)+(n>>>13)|0)+(Be>>>26)|0,Be&=67108863;var Ne=(c+(i=Math.imul(L,be))|0)+((8191&(n=(n=Math.imul(L,pe))+Math.imul(D,be)|0))<<13)|0;return c=((a=Math.imul(D,pe))+(n>>>13)|0)+(Ne>>>26)|0,Ne&=67108863,f[0]=me,f[1]=ge,f[2]=ve,f[3]=ye,f[4]=we,f[5]=_e,f[6]=Me,f[7]=Se,f[8]=ke,f[9]=Ee,f[10]=xe,f[11]=ze,f[12]=Ae,f[13]=Ie,f[14]=qe,f[15]=Re,f[16]=je,f[17]=Be,f[18]=Ne,0!==c&&(f[19]=c,r.length++),r};function m(e,t,r){r.negative=t.negative^e.negative,r.length=e.length+t.length;for(var i=0,n=0,a=0;a<r.length-1;a++){var o=n;n=0;for(var s=67108863&i,f=Math.min(a,t.length-1),c=Math.max(0,a-e.length+1);c<=f;c++){var d=a-c,u=(0|e.words[d])*(0|t.words[c]),h=67108863&u;s=67108863&(h=h+s|0),n+=(o=(o=o+(u/67108864|0)|0)+(h>>>26)|0)>>>26,o&=67108863}r.words[a]=s,i=o,o=n}return 0!==i?r.words[a]=i:r.length--,r._strip()}function g(e,t,r){return m(e,t,r)}function v(e,t){this.x=e,this.y=t}Math.imul||(p=b),a.prototype.mulTo=function(e,t){var r=this.length+e.length;return 10===this.length&&10===e.length?p(this,e,t):r<63?b(this,e,t):r<1024?m(this,e,t):g(this,e,t)},v.prototype.makeRBT=function(e){for(var t=new Array(e),r=a.prototype._countBits(e)-1,i=0;i<e;i++)t[i]=this.revBin(i,r,e);return t},v.prototype.revBin=function(e,t,r){if(0===e||e===r-1)return e;for(var i=0,n=0;n<t;n++)i|=(1&e)<<t-n-1,e>>=1;return i},v.prototype.permute=function(e,t,r,i,n,a){for(var o=0;o<a;o++)i[o]=t[e[o]],n[o]=r[e[o]]},v.prototype.transform=function(e,t,r,i,n,a){this.permute(a,e,t,r,i,n);for(var o=1;o<n;o<<=1)for(var s=o<<1,f=Math.cos(2*Math.PI/s),c=Math.sin(2*Math.PI/s),d=0;d<n;d+=s)for(var u=f,h=c,l=0;l<o;l++){var b=r[d+l],p=i[d+l],m=r[d+l+o],g=i[d+l+o],v=u*m-h*g;g=u*g+h*m,m=v,r[d+l]=b+m,i[d+l]=p+g,r[d+l+o]=b-m,i[d+l+o]=p-g,l!==s&&(v=f*u-c*h,h=f*h+c*u,u=v)}},v.prototype.guessLen13b=function(e,t){var r=1|Math.max(t,e),i=1&r,n=0;for(r=r/2|0;r;r>>>=1)n++;return 1<<n+1+i},v.prototype.conjugate=function(e,t,r){if(!(r<=1))for(var i=0;i<r/2;i++){var n=e[i];e[i]=e[r-i-1],e[r-i-1]=n,n=t[i],t[i]=-t[r-i-1],t[r-i-1]=-n}},v.prototype.normalize13b=function(e,t){for(var r=0,i=0;i<t/2;i++){var n=8192*Math.round(e[2*i+1]/t)+Math.round(e[2*i]/t)+r;e[i]=67108863&n,r=n<67108864?0:n/67108864|0}return e},v.prototype.convert13b=function(e,t,r,n){for(var a=0,o=0;o<t;o++)a+=0|e[o],r[2*o]=8191&a,a>>>=13,r[2*o+1]=8191&a,a>>>=13;for(o=2*t;o<n;++o)r[o]=0;i(0===a),i(0==(-8192&a))},v.prototype.stub=function(e){for(var t=new Array(e),r=0;r<e;r++)t[r]=0;return t},v.prototype.mulp=function(e,t,r){var i=2*this.guessLen13b(e.length,t.length),n=this.makeRBT(i),a=this.stub(i),o=new Array(i),s=new Array(i),f=new Array(i),c=new Array(i),d=new Array(i),u=new Array(i),h=r.words;h.length=i,this.convert13b(e.words,e.length,o,i),this.convert13b(t.words,t.length,c,i),this.transform(o,a,s,f,i,n),this.transform(c,a,d,u,i,n);for(var l=0;l<i;l++){var b=s[l]*d[l]-f[l]*u[l];f[l]=s[l]*u[l]+f[l]*d[l],s[l]=b}return this.conjugate(s,f,i),this.transform(s,f,h,a,i,n),this.conjugate(h,a,i),this.normalize13b(h,i),r.negative=e.negative^t.negative,r.length=e.length+t.length,r._strip()},a.prototype.mul=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),this.mulTo(e,t)},a.prototype.mulf=function(e){var t=new a(null);return t.words=new Array(this.length+e.length),g(this,e,t)},a.prototype.imul=function(e){return this.clone().mulTo(e,this)},a.prototype.imuln=function(e){var t=e<0;t&&(e=-e),i("number"==typeof e),i(e<67108864);for(var r=0,n=0;n<this.length;n++){var a=(0|this.words[n])*e,o=(67108863&a)+(67108863&r);r>>=26,r+=a/67108864|0,r+=o>>>26,this.words[n]=67108863&o}return 0!==r&&(this.words[n]=r,this.length++),t?this.ineg():this},a.prototype.muln=function(e){return this.clone().imuln(e)},a.prototype.sqr=function(){return this.mul(this)},a.prototype.isqr=function(){return this.imul(this.clone())},a.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),r=0;r<t.length;r++){var i=r/26|0,n=r%26;t[r]=e.words[i]>>>n&1}return t}(e);if(0===t.length)return new a(1);for(var r=this,i=0;i<t.length&&0===t[i];i++,r=r.sqr());if(++i<t.length)for(var n=r.sqr();i<t.length;i++,n=n.sqr())0!==t[i]&&(r=r.mul(n));return r},a.prototype.iushln=function(e){i("number"==typeof e&&e>=0);var t,r=e%26,n=(e-r)/26,a=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(t=0;t<this.length;t++){var s=this.words[t]&a,f=(0|this.words[t])-s<<r;this.words[t]=f|o,o=s>>>26-r}o&&(this.words[t]=o,this.length++)}if(0!==n){for(t=this.length-1;t>=0;t--)this.words[t+n]=this.words[t];for(t=0;t<n;t++)this.words[t]=0;this.length+=n}return this._strip()},a.prototype.ishln=function(e){return i(0===this.negative),this.iushln(e)},a.prototype.iushrn=function(e,t,r){var n;i("number"==typeof e&&e>=0),n=t?(t-t%26)/26:0;var a=e%26,o=Math.min((e-a)/26,this.length),s=67108863^67108863>>>a<<a,f=r;if(n-=o,n=Math.max(0,n),f){for(var c=0;c<o;c++)f.words[c]=this.words[c];f.length=o}if(0===o);else if(this.length>o)for(this.length-=o,c=0;c<this.length;c++)this.words[c]=this.words[c+o];else this.words[0]=0,this.length=1;var d=0;for(c=this.length-1;c>=0&&(0!==d||c>=n);c--){var u=0|this.words[c];this.words[c]=d<<26-a|u>>>a,d=u&s}return f&&0!==d&&(f.words[f.length++]=d),0===this.length&&(this.words[0]=0,this.length=1),this._strip()},a.prototype.ishrn=function(e,t,r){return i(0===this.negative),this.iushrn(e,t,r)},a.prototype.shln=function(e){return this.clone().ishln(e)},a.prototype.ushln=function(e){return this.clone().iushln(e)},a.prototype.shrn=function(e){return this.clone().ishrn(e)},a.prototype.ushrn=function(e){return this.clone().iushrn(e)},a.prototype.testn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26,n=1<<t;return!(this.length<=r)&&!!(this.words[r]&n)},a.prototype.imaskn=function(e){i("number"==typeof e&&e>=0);var t=e%26,r=(e-t)/26;if(i(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==t&&r++,this.length=Math.min(r,this.length),0!==t){var n=67108863^67108863>>>t<<t;this.words[this.length-1]&=n}return this._strip()},a.prototype.maskn=function(e){return this.clone().imaskn(e)},a.prototype.iaddn=function(e){return i("number"==typeof e),i(e<67108864),e<0?this.isubn(-e):0!==this.negative?1===this.length&&(0|this.words[0])<=e?(this.words[0]=e-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(e),this.negative=1,this):this._iaddn(e)},a.prototype._iaddn=function(e){this.words[0]+=e;for(var t=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},a.prototype.isubn=function(e){if(i("number"==typeof e),i(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t<this.length&&this.words[t]<0;t++)this.words[t]+=67108864,this.words[t+1]-=1;return this._strip()},a.prototype.addn=function(e){return this.clone().iaddn(e)},a.prototype.subn=function(e){return this.clone().isubn(e)},a.prototype.iabs=function(){return this.negative=0,this},a.prototype.abs=function(){return this.clone().iabs()},a.prototype._ishlnsubmul=function(e,t,r){var n,a,o=e.length+r;this._expand(o);var s=0;for(n=0;n<e.length;n++){a=(0|this.words[n+r])+s;var f=(0|e.words[n])*t;s=((a-=67108863&f)>>26)-(f/67108864|0),this.words[n+r]=67108863&a}for(;n<this.length-r;n++)s=(a=(0|this.words[n+r])+s)>>26,this.words[n+r]=67108863&a;if(0===s)return this._strip();for(i(-1===s),s=0,n=0;n<this.length;n++)s=(a=-(0|this.words[n])+s)>>26,this.words[n]=67108863&a;return this.negative=1,this._strip()},a.prototype._wordDiv=function(e,t){var r=(this.length,e.length),i=this.clone(),n=e,o=0|n.words[n.length-1];0!==(r=26-this._countBits(o))&&(n=n.ushln(r),i.iushln(r),o=0|n.words[n.length-1]);var s,f=i.length-n.length;if("mod"!==t){(s=new a(null)).length=f+1,s.words=new Array(s.length);for(var c=0;c<s.length;c++)s.words[c]=0}var d=i.clone()._ishlnsubmul(n,1,f);0===d.negative&&(i=d,s&&(s.words[f]=1));for(var u=f-1;u>=0;u--){var h=67108864*(0|i.words[n.length+u])+(0|i.words[n.length+u-1]);for(h=Math.min(h/o|0,67108863),i._ishlnsubmul(n,h,u);0!==i.negative;)h--,i.negative=0,i._ishlnsubmul(n,1,u),i.isZero()||(i.negative^=1);s&&(s.words[u]=h)}return s&&s._strip(),i._strip(),"div"!==t&&0!==r&&i.iushrn(r),{div:s||null,mod:i}},a.prototype.divmod=function(e,t,r){return i(!e.isZero()),this.isZero()?{div:new a(0),mod:new a(0)}:0!==this.negative&&0===e.negative?(s=this.neg().divmod(e,t),"mod"!==t&&(n=s.div.neg()),"div"!==t&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(e)),{div:n,mod:o}):0===this.negative&&0!==e.negative?(s=this.divmod(e.neg(),t),"mod"!==t&&(n=s.div.neg()),{div:n,mod:s.mod}):0!=(this.negative&e.negative)?(s=this.neg().divmod(e.neg(),t),"div"!==t&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(e)),{div:s.div,mod:o}):e.length>this.length||this.cmp(e)<0?{div:new a(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new a(this.modrn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new a(this.modrn(e.words[0]))}:this._wordDiv(e,t);var n,o,s},a.prototype.div=function(e){return this.divmod(e,"div",!1).div},a.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},a.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},a.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var r=0!==t.div.negative?t.mod.isub(e):t.mod,i=e.ushrn(1),n=e.andln(1),a=r.cmp(i);return a<0||1===n&&0===a?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},a.prototype.modrn=function(e){var t=e<0;t&&(e=-e),i(e<=67108863);for(var r=(1<<26)%e,n=0,a=this.length-1;a>=0;a--)n=(r*n+(0|this.words[a]))%e;return t?-n:n},a.prototype.modn=function(e){return this.modrn(e)},a.prototype.idivn=function(e){var t=e<0;t&&(e=-e),i(e<=67108863);for(var r=0,n=this.length-1;n>=0;n--){var a=(0|this.words[n])+67108864*r;this.words[n]=a/e|0,r=a%e}return this._strip(),t?this.ineg():this},a.prototype.divn=function(e){return this.clone().idivn(e)},a.prototype.egcd=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var n=new a(1),o=new a(0),s=new a(0),f=new a(1),c=0;t.isEven()&&r.isEven();)t.iushrn(1),r.iushrn(1),++c;for(var d=r.clone(),u=t.clone();!t.isZero();){for(var h=0,l=1;0==(t.words[0]&l)&&h<26;++h,l<<=1);if(h>0)for(t.iushrn(h);h-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(d),o.isub(u)),n.iushrn(1),o.iushrn(1);for(var b=0,p=1;0==(r.words[0]&p)&&b<26;++b,p<<=1);if(b>0)for(r.iushrn(b);b-- >0;)(s.isOdd()||f.isOdd())&&(s.iadd(d),f.isub(u)),s.iushrn(1),f.iushrn(1);t.cmp(r)>=0?(t.isub(r),n.isub(s),o.isub(f)):(r.isub(t),s.isub(n),f.isub(o))}return{a:s,b:f,gcd:r.iushln(c)}},a.prototype._invmp=function(e){i(0===e.negative),i(!e.isZero());var t=this,r=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var n,o=new a(1),s=new a(0),f=r.clone();t.cmpn(1)>0&&r.cmpn(1)>0;){for(var c=0,d=1;0==(t.words[0]&d)&&c<26;++c,d<<=1);if(c>0)for(t.iushrn(c);c-- >0;)o.isOdd()&&o.iadd(f),o.iushrn(1);for(var u=0,h=1;0==(r.words[0]&h)&&u<26;++u,h<<=1);if(u>0)for(r.iushrn(u);u-- >0;)s.isOdd()&&s.iadd(f),s.iushrn(1);t.cmp(r)>=0?(t.isub(r),o.isub(s)):(r.isub(t),s.isub(o))}return(n=0===t.cmpn(1)?o:s).cmpn(0)<0&&n.iadd(e),n},a.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),r=e.clone();t.negative=0,r.negative=0;for(var i=0;t.isEven()&&r.isEven();i++)t.iushrn(1),r.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;r.isEven();)r.iushrn(1);var n=t.cmp(r);if(n<0){var a=t;t=r,r=a}else if(0===n||0===r.cmpn(1))break;t.isub(r)}return r.iushln(i)},a.prototype.invm=function(e){return this.egcd(e).a.umod(e)},a.prototype.isEven=function(){return 0==(1&this.words[0])},a.prototype.isOdd=function(){return 1==(1&this.words[0])},a.prototype.andln=function(e){return this.words[0]&e},a.prototype.bincn=function(e){i("number"==typeof e);var t=e%26,r=(e-t)/26,n=1<<t;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var a=n,o=r;0!==a&&o<this.length;o++){var s=0|this.words[o];a=(s+=a)>>>26,s&=67108863,this.words[o]=s}return 0!==a&&(this.words[o]=a,this.length++),this},a.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},a.prototype.cmpn=function(e){var t,r=e<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this._strip(),this.length>1)t=1;else{r&&(e=-e),i(e<=67108863,"Number is too big");var n=0|this.words[0];t=n===e?0:n<e?-1:1}return 0!==this.negative?0|-t:t},a.prototype.cmp=function(e){if(0!==this.negative&&0===e.negative)return-1;if(0===this.negative&&0!==e.negative)return 1;var t=this.ucmp(e);return 0!==this.negative?0|-t:t},a.prototype.ucmp=function(e){if(this.length>e.length)return 1;if(this.length<e.length)return-1;for(var t=0,r=this.length-1;r>=0;r--){var i=0|this.words[r],n=0|e.words[r];if(i!==n){i<n?t=-1:i>n&&(t=1);break}}return t},a.prototype.gtn=function(e){return 1===this.cmpn(e)},a.prototype.gt=function(e){return 1===this.cmp(e)},a.prototype.gten=function(e){return this.cmpn(e)>=0},a.prototype.gte=function(e){return this.cmp(e)>=0},a.prototype.ltn=function(e){return-1===this.cmpn(e)},a.prototype.lt=function(e){return-1===this.cmp(e)},a.prototype.lten=function(e){return this.cmpn(e)<=0},a.prototype.lte=function(e){return this.cmp(e)<=0},a.prototype.eqn=function(e){return 0===this.cmpn(e)},a.prototype.eq=function(e){return 0===this.cmp(e)},a.red=function(e){return new E(e)},a.prototype.toRed=function(e){return i(!this.red,"Already a number in reduction context"),i(0===this.negative,"red works only with positives"),e.convertTo(this)._forceRed(e)},a.prototype.fromRed=function(){return i(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},a.prototype._forceRed=function(e){return this.red=e,this},a.prototype.forceRed=function(e){return i(!this.red,"Already a number in reduction context"),this._forceRed(e)},a.prototype.redAdd=function(e){return i(this.red,"redAdd works only with red numbers"),this.red.add(this,e)},a.prototype.redIAdd=function(e){return i(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,e)},a.prototype.redSub=function(e){return i(this.red,"redSub works only with red numbers"),this.red.sub(this,e)},a.prototype.redISub=function(e){return i(this.red,"redISub works only with red numbers"),this.red.isub(this,e)},a.prototype.redShl=function(e){return i(this.red,"redShl works only with red numbers"),this.red.shl(this,e)},a.prototype.redMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.mul(this,e)},a.prototype.redIMul=function(e){return i(this.red,"redMul works only with red numbers"),this.red._verify2(this,e),this.red.imul(this,e)},a.prototype.redSqr=function(){return i(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},a.prototype.redISqr=function(){return i(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},a.prototype.redSqrt=function(){return i(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},a.prototype.redInvm=function(){return i(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},a.prototype.redNeg=function(){return i(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},a.prototype.redPow=function(e){return i(this.red&&!e.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,e)};var y={k256:null,p224:null,p192:null,p25519:null};function w(e,t){this.name=e,this.p=new a(t,16),this.n=this.p.bitLength(),this.k=new a(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function _(){w.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function M(){w.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function S(){w.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function k(){w.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function E(e){if("string"==typeof e){var t=a._prime(e);this.m=t.p,this.prime=t}else i(e.gtn(1),"modulus must be greater than 1"),this.m=e,this.prime=null}function x(e){E.call(this,e),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new a(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)}w.prototype._tmp=function(){var e=new a(null);return e.words=new Array(Math.ceil(this.n/13)),e},w.prototype.ireduce=function(e){var t,r=e;do{this.split(r,this.tmp),t=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(t>this.n);var i=t<this.n?-1:r.ucmp(this.p);return 0===i?(r.words[0]=0,r.length=1):i>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},w.prototype.split=function(e,t){e.iushrn(this.n,0,t)},w.prototype.imulK=function(e){return e.imul(this.k)},n(_,w),_.prototype.split=function(e,t){for(var r=Math.min(e.length,9),i=0;i<r;i++)t.words[i]=e.words[i];if(t.length=r,e.length<=9)return e.words[0]=0,void(e.length=1);var n=e.words[9];for(t.words[t.length++]=4194303&n,i=10;i<e.length;i++){var a=0|e.words[i];e.words[i-10]=(4194303&a)<<4|n>>>22,n=a}n>>>=22,e.words[i-10]=n,0===n&&e.length>10?e.length-=10:e.length-=9},_.prototype.imulK=function(e){e.words[e.length]=0,e.words[e.length+1]=0,e.length+=2;for(var t=0,r=0;r<e.length;r++){var i=0|e.words[r];t+=977*i,e.words[r]=67108863&t,t=64*i+(t/67108864|0)}return 0===e.words[e.length-1]&&(e.length--,0===e.words[e.length-1]&&e.length--),e},n(M,w),n(S,w),n(k,w),k.prototype.imulK=function(e){for(var t=0,r=0;r<e.length;r++){var i=19*(0|e.words[r])+t,n=67108863&i;i>>>=26,e.words[r]=n,t=i}return 0!==t&&(e.words[e.length++]=t),e},a._prime=function(e){if(y[e])return y[e];var t;if("k256"===e)t=new _;else if("p224"===e)t=new M;else if("p192"===e)t=new S;else{if("p25519"!==e)throw new Error("Unknown prime "+e);t=new k}return y[e]=t,t},E.prototype._verify1=function(e){i(0===e.negative,"red works only with positives"),i(e.red,"red works only with red numbers")},E.prototype._verify2=function(e,t){i(0==(e.negative|t.negative),"red works only with positives"),i(e.red&&e.red===t.red,"red works only with red numbers")},E.prototype.imod=function(e){return this.prime?this.prime.ireduce(e)._forceRed(this):(c(e,e.umod(this.m)._forceRed(this)),e)},E.prototype.neg=function(e){return e.isZero()?e.clone():this.m.sub(e)._forceRed(this)},E.prototype.add=function(e,t){this._verify2(e,t);var r=e.add(t);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},E.prototype.iadd=function(e,t){this._verify2(e,t);var r=e.iadd(t);return r.cmp(this.m)>=0&&r.isub(this.m),r},E.prototype.sub=function(e,t){this._verify2(e,t);var r=e.sub(t);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},E.prototype.isub=function(e,t){this._verify2(e,t);var r=e.isub(t);return r.cmpn(0)<0&&r.iadd(this.m),r},E.prototype.shl=function(e,t){return this._verify1(e),this.imod(e.ushln(t))},E.prototype.imul=function(e,t){return this._verify2(e,t),this.imod(e.imul(t))},E.prototype.mul=function(e,t){return this._verify2(e,t),this.imod(e.mul(t))},E.prototype.isqr=function(e){return this.imul(e,e.clone())},E.prototype.sqr=function(e){return this.mul(e,e)},E.prototype.sqrt=function(e){if(e.isZero())return e.clone();var t=this.m.andln(3);if(i(t%2==1),3===t){var r=this.m.add(new a(1)).iushrn(2);return this.pow(e,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);i(!n.isZero());var s=new a(1).toRed(this),f=s.redNeg(),c=this.m.subn(1).iushrn(1),d=this.m.bitLength();for(d=new a(2*d*d).toRed(this);0!==this.pow(d,c).cmp(f);)d.redIAdd(f);for(var u=this.pow(d,n),h=this.pow(e,n.addn(1).iushrn(1)),l=this.pow(e,n),b=o;0!==l.cmp(s);){for(var p=l,m=0;0!==p.cmp(s);m++)p=p.redSqr();i(m<b);var g=this.pow(u,new a(1).iushln(b-m-1));h=h.redMul(g),u=g.redSqr(),l=l.redMul(u),b=m}return h},E.prototype.invm=function(e){var t=e._invmp(this.m);return 0!==t.negative?(t.negative=0,this.imod(t).redNeg()):this.imod(t)},E.prototype.pow=function(e,t){if(t.isZero())return new a(1).toRed(this);if(0===t.cmpn(1))return e.clone();var r=new Array(16);r[0]=new a(1).toRed(this),r[1]=e;for(var i=2;i<r.length;i++)r[i]=this.mul(r[i-1],e);var n=r[0],o=0,s=0,f=t.bitLength()%26;for(0===f&&(f=26),i=t.length-1;i>=0;i--){for(var c=t.words[i],d=f-1;d>=0;d--){var u=c>>d&1;n!==r[0]&&(n=this.sqr(n)),0!==u||0!==o?(o<<=1,o|=u,(4===++s||0===i&&0===d)&&(n=this.mul(n,r[o]),s=0,o=0)):s=0}f=26}return n},E.prototype.convertTo=function(e){var t=e.umod(this.m);return t===e?t.clone():t},E.prototype.convertFrom=function(e){var t=e.clone();return t.red=null,t},a.mont=function(e){return new x(e)},n(x,E),x.prototype.convertTo=function(e){return this.imod(e.ushln(this.shift))},x.prototype.convertFrom=function(e){var t=this.imod(e.mul(this.rinv));return t.red=null,t},x.prototype.imul=function(e,t){if(e.isZero()||t.isZero())return e.words[0]=0,e.length=1,e;var r=e.imul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(i).iushrn(this.shift),a=n;return n.cmp(this.m)>=0?a=n.isub(this.m):n.cmpn(0)<0&&(a=n.iadd(this.m)),a._forceRed(this)},x.prototype.mul=function(e,t){if(e.isZero()||t.isZero())return new a(0)._forceRed(this);var r=e.mul(t),i=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(i).iushrn(this.shift),o=n;return n.cmp(this.m)>=0?o=n.isub(this.m):n.cmpn(0)<0&&(o=n.iadd(this.m)),o._forceRed(this)},x.prototype.invm=function(e){return this.imod(e._invmp(this.m).mul(this.r2))._forceRed(this)}}(e,this)}).call(this,r(45)(e))},function(e,t){},function(e){e.exports=JSON.parse('{"name":"elliptic","version":"6.5.3","description":"EC cryptography","main":"lib/elliptic.js","files":["lib"],"scripts":{"jscs":"jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js","jshint":"jscs benchmarks/*.js lib/*.js lib/**/*.js lib/**/**/*.js test/index.js","lint":"npm run jscs && npm run jshint","unit":"istanbul test _mocha --reporter=spec test/index.js","test":"npm run lint && npm run unit","version":"grunt dist && git add dist/"},"repository":{"type":"git","url":"git@github.com:indutny/elliptic"},"keywords":["EC","Elliptic","curve","Cryptography"],"author":"Fedor Indutny <fedor@indutny.com>","license":"MIT","bugs":{"url":"https://github.com/indutny/elliptic/issues"},"homepage":"https://github.com/indutny/elliptic","devDependencies":{"brfs":"^1.4.3","coveralls":"^3.0.8","grunt":"^1.0.4","grunt-browserify":"^5.0.0","grunt-cli":"^1.2.0","grunt-contrib-connect":"^1.0.0","grunt-contrib-copy":"^1.0.0","grunt-contrib-uglify":"^1.0.1","grunt-mocha-istanbul":"^3.0.1","grunt-saucelabs":"^9.0.1","istanbul":"^0.4.2","jscs":"^3.0.7","jshint":"^2.10.3","mocha":"^6.2.2"},"dependencies":{"bn.js":"^4.4.0","brorand":"^1.0.1","hash.js":"^1.0.0","hmac-drbg":"^1.0.0","inherits":"^2.0.1","minimalistic-assert":"^1.0.0","minimalistic-crypto-utils":"^1.0.0"}}')},function(e,t,r){"use strict";var i=r(7),n=r(4),a=r(0),o=r(31),s=i.assert;function f(e){o.call(this,"short",e),this.a=new n(e.a,16).toRed(this.red),this.b=new n(e.b,16).toRed(this.red),this.tinv=this.two.redInvm(),this.zeroA=0===this.a.fromRed().cmpn(0),this.threeA=0===this.a.fromRed().sub(this.p).cmpn(-3),this.endo=this._getEndomorphism(e),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function c(e,t,r,i){o.BasePoint.call(this,e,"affine"),null===t&&null===r?(this.x=null,this.y=null,this.inf=!0):(this.x=new n(t,16),this.y=new n(r,16),i&&(this.x.forceRed(this.curve.red),this.y.forceRed(this.curve.red)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.inf=!1)}function d(e,t,r,i){o.BasePoint.call(this,e,"jacobian"),null===t&&null===r&&null===i?(this.x=this.curve.one,this.y=this.curve.one,this.z=new n(0)):(this.x=new n(t,16),this.y=new n(r,16),this.z=new n(i,16)),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.zOne=this.z===this.curve.one}a(f,o),e.exports=f,f.prototype._getEndomorphism=function(e){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var t,r;if(e.beta)t=new n(e.beta,16).toRed(this.red);else{var i=this._getEndoRoots(this.p);t=(t=i[0].cmp(i[1])<0?i[0]:i[1]).toRed(this.red)}if(e.lambda)r=new n(e.lambda,16);else{var a=this._getEndoRoots(this.n);0===this.g.mul(a[0]).x.cmp(this.g.x.redMul(t))?r=a[0]:(r=a[1],s(0===this.g.mul(r).x.cmp(this.g.x.redMul(t))))}return{beta:t,lambda:r,basis:e.basis?e.basis.map((function(e){return{a:new n(e.a,16),b:new n(e.b,16)}})):this._getEndoBasis(r)}}},f.prototype._getEndoRoots=function(e){var t=e===this.p?this.red:n.mont(e),r=new n(2).toRed(t).redInvm(),i=r.redNeg(),a=new n(3).toRed(t).redNeg().redSqrt().redMul(r);return[i.redAdd(a).fromRed(),i.redSub(a).fromRed()]},f.prototype._getEndoBasis=function(e){for(var t,r,i,a,o,s,f,c,d,u=this.n.ushrn(Math.floor(this.n.bitLength()/2)),h=e,l=this.n.clone(),b=new n(1),p=new n(0),m=new n(0),g=new n(1),v=0;0!==h.cmpn(0);){var y=l.div(h);c=l.sub(y.mul(h)),d=m.sub(y.mul(b));var w=g.sub(y.mul(p));if(!i&&c.cmp(u)<0)t=f.neg(),r=b,i=c.neg(),a=d;else if(i&&2==++v)break;f=c,l=h,h=c,m=b,b=d,g=p,p=w}o=c.neg(),s=d;var _=i.sqr().add(a.sqr());return o.sqr().add(s.sqr()).cmp(_)>=0&&(o=t,s=r),i.negative&&(i=i.neg(),a=a.neg()),o.negative&&(o=o.neg(),s=s.neg()),[{a:i,b:a},{a:o,b:s}]},f.prototype._endoSplit=function(e){var t=this.endo.basis,r=t[0],i=t[1],n=i.b.mul(e).divRound(this.n),a=r.b.neg().mul(e).divRound(this.n),o=n.mul(r.a),s=a.mul(i.a),f=n.mul(r.b),c=a.mul(i.b);return{k1:e.sub(o).sub(s),k2:f.add(c).neg()}},f.prototype.pointFromX=function(e,t){(e=new n(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr().redMul(e).redIAdd(e.redMul(this.a)).redIAdd(this.b),i=r.redSqrt();if(0!==i.redSqr().redSub(r).cmp(this.zero))throw new Error("invalid point");var a=i.fromRed().isOdd();return(t&&!a||!t&&a)&&(i=i.redNeg()),this.point(e,i)},f.prototype.validate=function(e){if(e.inf)return!0;var t=e.x,r=e.y,i=this.a.redMul(t),n=t.redSqr().redMul(t).redIAdd(i).redIAdd(this.b);return 0===r.redSqr().redISub(n).cmpn(0)},f.prototype._endoWnafMulAdd=function(e,t,r){for(var i=this._endoWnafT1,n=this._endoWnafT2,a=0;a<e.length;a++){var o=this._endoSplit(t[a]),s=e[a],f=s._getBeta();o.k1.negative&&(o.k1.ineg(),s=s.neg(!0)),o.k2.negative&&(o.k2.ineg(),f=f.neg(!0)),i[2*a]=s,i[2*a+1]=f,n[2*a]=o.k1,n[2*a+1]=o.k2}for(var c=this._wnafMulAdd(1,i,n,2*a,r),d=0;d<2*a;d++)i[d]=null,n[d]=null;return c},a(c,o.BasePoint),f.prototype.point=function(e,t,r){return new c(this,e,t,r)},f.prototype.pointFromJSON=function(e,t){return c.fromJSON(this,e,t)},c.prototype._getBeta=function(){if(this.curve.endo){var e=this.precomputed;if(e&&e.beta)return e.beta;var t=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(e){var r=this.curve,i=function(e){return r.point(e.x.redMul(r.endo.beta),e.y)};e.beta=t,t.precomputed={beta:null,naf:e.naf&&{wnd:e.naf.wnd,points:e.naf.points.map(i)},doubles:e.doubles&&{step:e.doubles.step,points:e.doubles.points.map(i)}}}return t}},c.prototype.toJSON=function(){return this.precomputed?[this.x,this.y,this.precomputed&&{doubles:this.precomputed.doubles&&{step:this.precomputed.doubles.step,points:this.precomputed.doubles.points.slice(1)},naf:this.precomputed.naf&&{wnd:this.precomputed.naf.wnd,points:this.precomputed.naf.points.slice(1)}}]:[this.x,this.y]},c.fromJSON=function(e,t,r){"string"==typeof t&&(t=JSON.parse(t));var i=e.point(t[0],t[1],r);if(!t[2])return i;function n(t){return e.point(t[0],t[1],r)}var a=t[2];return i.precomputed={beta:null,doubles:a.doubles&&{step:a.doubles.step,points:[i].concat(a.doubles.points.map(n))},naf:a.naf&&{wnd:a.naf.wnd,points:[i].concat(a.naf.points.map(n))}},i},c.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+">"},c.prototype.isInfinity=function(){return this.inf},c.prototype.add=function(e){if(this.inf)return e;if(e.inf)return this;if(this.eq(e))return this.dbl();if(this.neg().eq(e))return this.curve.point(null,null);if(0===this.x.cmp(e.x))return this.curve.point(null,null);var t=this.y.redSub(e.y);0!==t.cmpn(0)&&(t=t.redMul(this.x.redSub(e.x).redInvm()));var r=t.redSqr().redISub(this.x).redISub(e.x),i=t.redMul(this.x.redSub(r)).redISub(this.y);return this.curve.point(r,i)},c.prototype.dbl=function(){if(this.inf)return this;var e=this.y.redAdd(this.y);if(0===e.cmpn(0))return this.curve.point(null,null);var t=this.curve.a,r=this.x.redSqr(),i=e.redInvm(),n=r.redAdd(r).redIAdd(r).redIAdd(t).redMul(i),a=n.redSqr().redISub(this.x.redAdd(this.x)),o=n.redMul(this.x.redSub(a)).redISub(this.y);return this.curve.point(a,o)},c.prototype.getX=function(){return this.x.fromRed()},c.prototype.getY=function(){return this.y.fromRed()},c.prototype.mul=function(e){return e=new n(e,16),this.isInfinity()?this:this._hasDoubles(e)?this.curve._fixedNafMul(this,e):this.curve.endo?this.curve._endoWnafMulAdd([this],[e]):this.curve._wnafMul(this,e)},c.prototype.mulAdd=function(e,t,r){var i=[this,t],n=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(i,n):this.curve._wnafMulAdd(1,i,n,2)},c.prototype.jmulAdd=function(e,t,r){var i=[this,t],n=[e,r];return this.curve.endo?this.curve._endoWnafMulAdd(i,n,!0):this.curve._wnafMulAdd(1,i,n,2,!0)},c.prototype.eq=function(e){return this===e||this.inf===e.inf&&(this.inf||0===this.x.cmp(e.x)&&0===this.y.cmp(e.y))},c.prototype.neg=function(e){if(this.inf)return this;var t=this.curve.point(this.x,this.y.redNeg());if(e&&this.precomputed){var r=this.precomputed,i=function(e){return e.neg()};t.precomputed={naf:r.naf&&{wnd:r.naf.wnd,points:r.naf.points.map(i)},doubles:r.doubles&&{step:r.doubles.step,points:r.doubles.points.map(i)}}}return t},c.prototype.toJ=function(){return this.inf?this.curve.jpoint(null,null,null):this.curve.jpoint(this.x,this.y,this.curve.one)},a(d,o.BasePoint),f.prototype.jpoint=function(e,t,r){return new d(this,e,t,r)},d.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var e=this.z.redInvm(),t=e.redSqr(),r=this.x.redMul(t),i=this.y.redMul(t).redMul(e);return this.curve.point(r,i)},d.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},d.prototype.add=function(e){if(this.isInfinity())return e;if(e.isInfinity())return this;var t=e.z.redSqr(),r=this.z.redSqr(),i=this.x.redMul(t),n=e.x.redMul(r),a=this.y.redMul(t.redMul(e.z)),o=e.y.redMul(r.redMul(this.z)),s=i.redSub(n),f=a.redSub(o);if(0===s.cmpn(0))return 0!==f.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var c=s.redSqr(),d=c.redMul(s),u=i.redMul(c),h=f.redSqr().redIAdd(d).redISub(u).redISub(u),l=f.redMul(u.redISub(h)).redISub(a.redMul(d)),b=this.z.redMul(e.z).redMul(s);return this.curve.jpoint(h,l,b)},d.prototype.mixedAdd=function(e){if(this.isInfinity())return e.toJ();if(e.isInfinity())return this;var t=this.z.redSqr(),r=this.x,i=e.x.redMul(t),n=this.y,a=e.y.redMul(t).redMul(this.z),o=r.redSub(i),s=n.redSub(a);if(0===o.cmpn(0))return 0!==s.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var f=o.redSqr(),c=f.redMul(o),d=r.redMul(f),u=s.redSqr().redIAdd(c).redISub(d).redISub(d),h=s.redMul(d.redISub(u)).redISub(n.redMul(c)),l=this.z.redMul(o);return this.curve.jpoint(u,h,l)},d.prototype.dblp=function(e){if(0===e)return this;if(this.isInfinity())return this;if(!e)return this.dbl();if(this.curve.zeroA||this.curve.threeA){for(var t=this,r=0;r<e;r++)t=t.dbl();return t}var i=this.curve.a,n=this.curve.tinv,a=this.x,o=this.y,s=this.z,f=s.redSqr().redSqr(),c=o.redAdd(o);for(r=0;r<e;r++){var d=a.redSqr(),u=c.redSqr(),h=u.redSqr(),l=d.redAdd(d).redIAdd(d).redIAdd(i.redMul(f)),b=a.redMul(u),p=l.redSqr().redISub(b.redAdd(b)),m=b.redISub(p),g=l.redMul(m);g=g.redIAdd(g).redISub(h);var v=c.redMul(s);r+1<e&&(f=f.redMul(h)),a=p,s=v,c=g}return this.curve.jpoint(a,c.redMul(n),s)},d.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},d.prototype._zeroDbl=function(){var e,t,r;if(this.zOne){var i=this.x.redSqr(),n=this.y.redSqr(),a=n.redSqr(),o=this.x.redAdd(n).redSqr().redISub(i).redISub(a);o=o.redIAdd(o);var s=i.redAdd(i).redIAdd(i),f=s.redSqr().redISub(o).redISub(o),c=a.redIAdd(a);c=(c=c.redIAdd(c)).redIAdd(c),e=f,t=s.redMul(o.redISub(f)).redISub(c),r=this.y.redAdd(this.y)}else{var d=this.x.redSqr(),u=this.y.redSqr(),h=u.redSqr(),l=this.x.redAdd(u).redSqr().redISub(d).redISub(h);l=l.redIAdd(l);var b=d.redAdd(d).redIAdd(d),p=b.redSqr(),m=h.redIAdd(h);m=(m=m.redIAdd(m)).redIAdd(m),e=p.redISub(l).redISub(l),t=b.redMul(l.redISub(e)).redISub(m),r=(r=this.y.redMul(this.z)).redIAdd(r)}return this.curve.jpoint(e,t,r)},d.prototype._threeDbl=function(){var e,t,r;if(this.zOne){var i=this.x.redSqr(),n=this.y.redSqr(),a=n.redSqr(),o=this.x.redAdd(n).redSqr().redISub(i).redISub(a);o=o.redIAdd(o);var s=i.redAdd(i).redIAdd(i).redIAdd(this.curve.a),f=s.redSqr().redISub(o).redISub(o);e=f;var c=a.redIAdd(a);c=(c=c.redIAdd(c)).redIAdd(c),t=s.redMul(o.redISub(f)).redISub(c),r=this.y.redAdd(this.y)}else{var d=this.z.redSqr(),u=this.y.redSqr(),h=this.x.redMul(u),l=this.x.redSub(d).redMul(this.x.redAdd(d));l=l.redAdd(l).redIAdd(l);var b=h.redIAdd(h),p=(b=b.redIAdd(b)).redAdd(b);e=l.redSqr().redISub(p),r=this.y.redAdd(this.z).redSqr().redISub(u).redISub(d);var m=u.redSqr();m=(m=(m=m.redIAdd(m)).redIAdd(m)).redIAdd(m),t=l.redMul(b.redISub(e)).redISub(m)}return this.curve.jpoint(e,t,r)},d.prototype._dbl=function(){var e=this.curve.a,t=this.x,r=this.y,i=this.z,n=i.redSqr().redSqr(),a=t.redSqr(),o=r.redSqr(),s=a.redAdd(a).redIAdd(a).redIAdd(e.redMul(n)),f=t.redAdd(t),c=(f=f.redIAdd(f)).redMul(o),d=s.redSqr().redISub(c.redAdd(c)),u=c.redISub(d),h=o.redSqr();h=(h=(h=h.redIAdd(h)).redIAdd(h)).redIAdd(h);var l=s.redMul(u).redISub(h),b=r.redAdd(r).redMul(i);return this.curve.jpoint(d,l,b)},d.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr(),i=t.redSqr(),n=e.redAdd(e).redIAdd(e),a=n.redSqr(),o=this.x.redAdd(t).redSqr().redISub(e).redISub(i),s=(o=(o=(o=o.redIAdd(o)).redAdd(o).redIAdd(o)).redISub(a)).redSqr(),f=i.redIAdd(i);f=(f=(f=f.redIAdd(f)).redIAdd(f)).redIAdd(f);var c=n.redIAdd(o).redSqr().redISub(a).redISub(s).redISub(f),d=t.redMul(c);d=(d=d.redIAdd(d)).redIAdd(d);var u=this.x.redMul(s).redISub(d);u=(u=u.redIAdd(u)).redIAdd(u);var h=this.y.redMul(c.redMul(f.redISub(c)).redISub(o.redMul(s)));h=(h=(h=h.redIAdd(h)).redIAdd(h)).redIAdd(h);var l=this.z.redAdd(o).redSqr().redISub(r).redISub(s);return this.curve.jpoint(u,h,l)},d.prototype.mul=function(e,t){return e=new n(e,t),this.curve._wnafMul(this,e)},d.prototype.eq=function(e){if("affine"===e.type)return this.eq(e.toJ());if(this===e)return!0;var t=this.z.redSqr(),r=e.z.redSqr();if(0!==this.x.redMul(r).redISub(e.x.redMul(t)).cmpn(0))return!1;var i=t.redMul(this.z),n=r.redMul(e.z);return 0===this.y.redMul(n).redISub(e.y.redMul(i)).cmpn(0)},d.prototype.eqXToP=function(e){var t=this.z.redSqr(),r=e.toRed(this.curve.red).redMul(t);if(0===this.x.cmp(r))return!0;for(var i=e.clone(),n=this.curve.redN.redMul(t);;){if(i.iadd(this.curve.n),i.cmp(this.curve.p)>=0)return!1;if(r.redIAdd(n),0===this.x.cmp(r))return!0}},d.prototype.inspect=function(){return this.isInfinity()?"<EC JPoint Infinity>":"<EC JPoint x: "+this.x.toString(16,2)+" y: "+this.y.toString(16,2)+" z: "+this.z.toString(16,2)+">"},d.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},function(e,t,r){"use strict";var i=r(4),n=r(0),a=r(31),o=r(7);function s(e){a.call(this,"mont",e),this.a=new i(e.a,16).toRed(this.red),this.b=new i(e.b,16).toRed(this.red),this.i4=new i(4).toRed(this.red).redInvm(),this.two=new i(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function f(e,t,r){a.BasePoint.call(this,e,"projective"),null===t&&null===r?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new i(t,16),this.z=new i(r,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}n(s,a),e.exports=s,s.prototype.validate=function(e){var t=e.normalize().x,r=t.redSqr(),i=r.redMul(t).redAdd(r.redMul(this.a)).redAdd(t);return 0===i.redSqrt().redSqr().cmp(i)},n(f,a.BasePoint),s.prototype.decodePoint=function(e,t){return this.point(o.toArray(e,t),1)},s.prototype.point=function(e,t){return new f(this,e,t)},s.prototype.pointFromJSON=function(e){return f.fromJSON(this,e)},f.prototype.precompute=function(){},f.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},f.fromJSON=function(e,t){return new f(e,t[0],t[1]||e.one)},f.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},f.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},f.prototype.dbl=function(){var e=this.x.redAdd(this.z).redSqr(),t=this.x.redSub(this.z).redSqr(),r=e.redSub(t),i=e.redMul(t),n=r.redMul(t.redAdd(this.curve.a24.redMul(r)));return this.curve.point(i,n)},f.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},f.prototype.diffAdd=function(e,t){var r=this.x.redAdd(this.z),i=this.x.redSub(this.z),n=e.x.redAdd(e.z),a=e.x.redSub(e.z).redMul(r),o=n.redMul(i),s=t.z.redMul(a.redAdd(o).redSqr()),f=t.x.redMul(a.redISub(o).redSqr());return this.curve.point(s,f)},f.prototype.mul=function(e){for(var t=e.clone(),r=this,i=this.curve.point(null,null),n=[];0!==t.cmpn(0);t.iushrn(1))n.push(t.andln(1));for(var a=n.length-1;a>=0;a--)0===n[a]?(r=r.diffAdd(i,this),i=i.dbl()):(i=r.diffAdd(i,this),r=r.dbl());return i},f.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},f.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},f.prototype.eq=function(e){return 0===this.getX().cmp(e.getX())},f.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},f.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},function(e,t,r){"use strict";var i=r(7),n=r(4),a=r(0),o=r(31),s=i.assert;function f(e){this.twisted=1!=(0|e.a),this.mOneA=this.twisted&&-1==(0|e.a),this.extended=this.mOneA,o.call(this,"edwards",e),this.a=new n(e.a,16).umod(this.red.m),this.a=this.a.toRed(this.red),this.c=new n(e.c,16).toRed(this.red),this.c2=this.c.redSqr(),this.d=new n(e.d,16).toRed(this.red),this.dd=this.d.redAdd(this.d),s(!this.twisted||0===this.c.fromRed().cmpn(1)),this.oneC=1==(0|e.c)}function c(e,t,r,i,a){o.BasePoint.call(this,e,"projective"),null===t&&null===r&&null===i?(this.x=this.curve.zero,this.y=this.curve.one,this.z=this.curve.one,this.t=this.curve.zero,this.zOne=!0):(this.x=new n(t,16),this.y=new n(r,16),this.z=i?new n(i,16):this.curve.one,this.t=a&&new n(a,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.y.red||(this.y=this.y.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)),this.t&&!this.t.red&&(this.t=this.t.toRed(this.curve.red)),this.zOne=this.z===this.curve.one,this.curve.extended&&!this.t&&(this.t=this.x.redMul(this.y),this.zOne||(this.t=this.t.redMul(this.z.redInvm()))))}a(f,o),e.exports=f,f.prototype._mulA=function(e){return this.mOneA?e.redNeg():this.a.redMul(e)},f.prototype._mulC=function(e){return this.oneC?e:this.c.redMul(e)},f.prototype.jpoint=function(e,t,r,i){return this.point(e,t,r,i)},f.prototype.pointFromX=function(e,t){(e=new n(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr(),i=this.c2.redSub(this.a.redMul(r)),a=this.one.redSub(this.c2.redMul(this.d).redMul(r)),o=i.redMul(a.redInvm()),s=o.redSqrt();if(0!==s.redSqr().redSub(o).cmp(this.zero))throw new Error("invalid point");var f=s.fromRed().isOdd();return(t&&!f||!t&&f)&&(s=s.redNeg()),this.point(e,s)},f.prototype.pointFromY=function(e,t){(e=new n(e,16)).red||(e=e.toRed(this.red));var r=e.redSqr(),i=r.redSub(this.c2),a=r.redMul(this.d).redMul(this.c2).redSub(this.a),o=i.redMul(a.redInvm());if(0===o.cmp(this.zero)){if(t)throw new Error("invalid point");return this.point(this.zero,e)}var s=o.redSqrt();if(0!==s.redSqr().redSub(o).cmp(this.zero))throw new Error("invalid point");return s.fromRed().isOdd()!==t&&(s=s.redNeg()),this.point(s,e)},f.prototype.validate=function(e){if(e.isInfinity())return!0;e.normalize();var t=e.x.redSqr(),r=e.y.redSqr(),i=t.redMul(this.a).redAdd(r),n=this.c2.redMul(this.one.redAdd(this.d.redMul(t).redMul(r)));return 0===i.cmp(n)},a(c,o.BasePoint),f.prototype.pointFromJSON=function(e){return c.fromJSON(this,e)},f.prototype.point=function(e,t,r,i){return new c(this,e,t,r,i)},c.fromJSON=function(e,t){return new c(e,t[0],t[1],t[2])},c.prototype.inspect=function(){return this.isInfinity()?"<EC Point Infinity>":"<EC Point x: "+this.x.fromRed().toString(16,2)+" y: "+this.y.fromRed().toString(16,2)+" z: "+this.z.fromRed().toString(16,2)+">"},c.prototype.isInfinity=function(){return 0===this.x.cmpn(0)&&(0===this.y.cmp(this.z)||this.zOne&&0===this.y.cmp(this.curve.c))},c.prototype._extDbl=function(){var e=this.x.redSqr(),t=this.y.redSqr(),r=this.z.redSqr();r=r.redIAdd(r);var i=this.curve._mulA(e),n=this.x.redAdd(this.y).redSqr().redISub(e).redISub(t),a=i.redAdd(t),o=a.redSub(r),s=i.redSub(t),f=n.redMul(o),c=a.redMul(s),d=n.redMul(s),u=o.redMul(a);return this.curve.point(f,c,u,d)},c.prototype._projDbl=function(){var e,t,r,i=this.x.redAdd(this.y).redSqr(),n=this.x.redSqr(),a=this.y.redSqr();if(this.curve.twisted){var o=(c=this.curve._mulA(n)).redAdd(a);if(this.zOne)e=i.redSub(n).redSub(a).redMul(o.redSub(this.curve.two)),t=o.redMul(c.redSub(a)),r=o.redSqr().redSub(o).redSub(o);else{var 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strict";var i=r(4),n=r(196),a=r(7),o=r(49),s=r(46),f=a.assert,c=r(197),d=r(198);function u(e){if(!(this instanceof u))return new u(e);"string"==typeof e&&(f(o.hasOwnProperty(e),"Unknown curve "+e),e=o[e]),e instanceof o.PresetCurve&&(e={curve:e}),this.curve=e.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=e.curve.g,this.g.precompute(e.curve.n.bitLength()+1),this.hash=e.hash||e.curve.hash}e.exports=u,u.prototype.keyPair=function(e){return new c(this,e)},u.prototype.keyFromPrivate=function(e,t){return c.fromPrivate(this,e,t)},u.prototype.keyFromPublic=function(e,t){return c.fromPublic(this,e,t)},u.prototype.genKeyPair=function(e){e||(e={});for(var t=new n({hash:this.hash,pers:e.pers,persEnc:e.persEnc||"utf8",entropy:e.entropy||s(this.hash.hmacStrength),entropyEnc:e.entropy&&e.entropyEnc||"utf8",nonce:this.n.toArray()}),r=this.n.byteLength(),a=this.n.sub(new i(2));;){var o=new i(t.generate(r));if(!(o.cmp(a)>0))return o.iaddn(1),this.keyFromPrivate(o)}},u.prototype._truncateToN=function(e,t){var r=8*e.byteLength()-this.n.bitLength();return r>0&&(e=e.ushrn(r)),!t&&e.cmp(this.n)>=0?e.sub(this.n):e},u.prototype.sign=function(e,t,r,a){"object"==typeof r&&(a=r,r=null),a||(a={}),t=this.keyFromPrivate(t,r),e=this._truncateToN(new i(e,16));for(var o=this.n.byteLength(),s=t.getPrivate().toArray("be",o),f=e.toArray("be",o),c=new n({hash:this.hash,entropy:s,nonce:f,pers:a.pers,persEnc:a.persEnc||"utf8"}),u=this.n.sub(new i(1)),h=0;;h++){var l=a.k?a.k(h):new i(c.generate(this.n.byteLength()));if(!((l=this._truncateToN(l,!0)).cmpn(1)<=0||l.cmp(u)>=0)){var b=this.g.mul(l);if(!b.isInfinity()){var p=b.getX(),m=p.umod(this.n);if(0!==m.cmpn(0)){var g=l.invm(this.n).mul(m.mul(t.getPrivate()).iadd(e));if(0!==(g=g.umod(this.n)).cmpn(0)){var v=(b.getY().isOdd()?1:0)|(0!==p.cmp(m)?2:0);return a.canonical&&g.cmp(this.nh)>0&&(g=this.n.sub(g),v^=1),new d({r:m,s:g,recoveryParam:v})}}}}}},u.prototype.verify=function(e,t,r,n){e=this._truncateToN(new i(e,16)),r=this.keyFromPublic(r,n);var a=(t=new d(t,"hex")).r,o=t.s;if(a.cmpn(1)<0||a.cmp(this.n)>=0)return!1;if(o.cmpn(1)<0||o.cmp(this.n)>=0)return!1;var s,f=o.invm(this.n),c=f.mul(e).umod(this.n),u=f.mul(a).umod(this.n);return this.curve._maxwellTrick?!(s=this.g.jmulAdd(c,r.getPublic(),u)).isInfinity()&&s.eqXToP(a):!(s=this.g.mulAdd(c,r.getPublic(),u)).isInfinity()&&0===s.getX().umod(this.n).cmp(a)},u.prototype.recoverPubKey=function(e,t,r,n){f((3&r)===r,"The recovery param is more than two bits"),t=new d(t,n);var a=this.n,o=new i(e),s=t.r,c=t.s,u=1&r,h=r>>1;if(s.cmp(this.curve.p.umod(this.curve.n))>=0&&h)throw new Error("Unable to find sencond key candinate");s=h?this.curve.pointFromX(s.add(this.curve.n),u):this.curve.pointFromX(s,u);var l=t.r.invm(a),b=a.sub(o).mul(l).umod(a),p=c.mul(l).umod(a);return this.g.mulAdd(b,s,p)},u.prototype.getKeyRecoveryParam=function(e,t,r,i){if(null!==(t=new d(t,i)).recoveryParam)return t.recoveryParam;for(var n=0;n<4;n++){var a;try{a=this.recoverPubKey(e,t,n)}catch(e){continue}if(a.eq(r))return n}throw new Error("Unable to find valid recovery factor")}},function(e,t,r){"use strict";var i=r(50),n=r(93),a=r(6);function o(e){if(!(this instanceof o))return new o(e);this.hash=e.hash,this.predResist=!!e.predResist,this.outLen=this.hash.outSize,this.minEntropy=e.minEntropy||this.hash.hmacStrength,this._reseed=null,this.reseedInterval=null,this.K=null,this.V=null;var t=n.toArray(e.entropy,e.entropyEnc||"hex"),r=n.toArray(e.nonce,e.nonceEnc||"hex"),i=n.toArray(e.pers,e.persEnc||"hex");a(t.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._init(t,r,i)}e.exports=o,o.prototype._init=function(e,t,r){var i=e.concat(t).concat(r);this.K=new Array(this.outLen/8),this.V=new Array(this.outLen/8);for(var n=0;n<this.V.length;n++)this.K[n]=0,this.V[n]=1;this._update(i),this._reseed=1,this.reseedInterval=281474976710656},o.prototype._hmac=function(){return new i.hmac(this.hash,this.K)},o.prototype._update=function(e){var t=this._hmac().update(this.V).update([0]);e&&(t=t.update(e)),this.K=t.digest(),this.V=this._hmac().update(this.V).digest(),e&&(this.K=this._hmac().update(this.V).update([1]).update(e).digest(),this.V=this._hmac().update(this.V).digest())},o.prototype.reseed=function(e,t,r,i){"string"!=typeof t&&(i=r,r=t,t=null),e=n.toArray(e,t),r=n.toArray(r,i),a(e.length>=this.minEntropy/8,"Not enough entropy. Minimum is: "+this.minEntropy+" bits"),this._update(e.concat(r||[])),this._reseed=1},o.prototype.generate=function(e,t,r,i){if(this._reseed>this.reseedInterval)throw new Error("Reseed is required");"string"!=typeof t&&(i=r,r=t,t=null),r&&(r=n.toArray(r,i||"hex"),this._update(r));for(var a=[];a.length<e;)this.V=this._hmac().update(this.V).digest(),a=a.concat(this.V);var o=a.slice(0,e);return this._update(r),this._reseed++,n.encode(o,t)}},function(e,t,r){"use strict";var i=r(4),n=r(7).assert;function a(e,t){this.ec=e,this.priv=null,this.pub=null,t.priv&&this._importPrivate(t.priv,t.privEnc),t.pub&&this._importPublic(t.pub,t.pubEnc)}e.exports=a,a.fromPublic=function(e,t,r){return t instanceof a?t:new a(e,{pub:t,pubEnc:r})},a.fromPrivate=function(e,t,r){return t instanceof a?t:new a(e,{priv:t,privEnc:r})},a.prototype.validate=function(){var e=this.getPublic();return e.isInfinity()?{result:!1,reason:"Invalid public key"}:e.validate()?e.mul(this.ec.curve.n).isInfinity()?{result:!0,reason:null}:{result:!1,reason:"Public key * N != O"}:{result:!1,reason:"Public key is not a point"}},a.prototype.getPublic=function(e,t){return"string"==typeof e&&(t=e,e=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),t?this.pub.encode(t,e):this.pub},a.prototype.getPrivate=function(e){return"hex"===e?this.priv.toString(16,2):this.priv},a.prototype._importPrivate=function(e,t){this.priv=new i(e,t||16),this.priv=this.priv.umod(this.ec.curve.n)},a.prototype._importPublic=function(e,t){if(e.x||e.y)return"mont"===this.ec.curve.type?n(e.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||n(e.x&&e.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(e.x,e.y));this.pub=this.ec.curve.decodePoint(e,t)},a.prototype.derive=function(e){return e.mul(this.priv).getX()},a.prototype.sign=function(e,t,r){return this.ec.sign(e,this,t,r)},a.prototype.verify=function(e,t){return this.ec.verify(e,t,this)},a.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},function(e,t,r){"use strict";var i=r(4),n=r(7),a=n.assert;function o(e,t){if(e instanceof o)return e;this._importDER(e,t)||(a(e.r&&e.s,"Signature without r or s"),this.r=new i(e.r,16),this.s=new i(e.s,16),void 0===e.recoveryParam?this.recoveryParam=null:this.recoveryParam=e.recoveryParam)}function s(){this.place=0}function f(e,t){var r=e[t.place++];if(!(128&r))return r;var i=15&r;if(0===i||i>4)return!1;for(var n=0,a=0,o=t.place;a<i;a++,o++)n<<=8,n|=e[o],n>>>=0;return!(n<=127)&&(t.place=o,n)}function c(e){for(var t=0,r=e.length-1;!e[t]&&!(128&e[t+1])&&t<r;)t++;return 0===t?e:e.slice(t)}function d(e,t){if(t<128)e.push(t);else{var r=1+(Math.log(t)/Math.LN2>>>3);for(e.push(128|r);--r;)e.push(t>>>(r<<3)&255);e.push(t)}}e.exports=o,o.prototype._importDER=function(e,t){e=n.toArray(e,t);var r=new s;if(48!==e[r.place++])return!1;var a=f(e,r);if(!1===a)return!1;if(a+r.place!==e.length)return!1;if(2!==e[r.place++])return!1;var o=f(e,r);if(!1===o)return!1;var c=e.slice(r.place,o+r.place);if(r.place+=o,2!==e[r.place++])return!1;var d=f(e,r);if(!1===d)return!1;if(e.length!==d+r.place)return!1;var u=e.slice(r.place,d+r.place);if(0===c[0]){if(!(128&c[1]))return!1;c=c.slice(1)}if(0===u[0]){if(!(128&u[1]))return!1;u=u.slice(1)}return this.r=new i(c),this.s=new i(u),this.recoveryParam=null,!0},o.prototype.toDER=function(e){var t=this.r.toArray(),r=this.s.toArray();for(128&t[0]&&(t=[0].concat(t)),128&r[0]&&(r=[0].concat(r)),t=c(t),r=c(r);!(r[0]||128&r[1]);)r=r.slice(1);var i=[2];d(i,t.length),(i=i.concat(t)).push(2),d(i,r.length);var a=i.concat(r),o=[48];return d(o,a.length),o=o.concat(a),n.encode(o,e)}},function(e,t,r){"use strict";var i=r(50),n=r(49),a=r(7),o=a.assert,s=a.parseBytes,f=r(200),c=r(201);function d(e){if(o("ed25519"===e,"only tested with ed25519 so far"),!(this instanceof d))return new d(e);e=n[e].curve;this.curve=e,this.g=e.g,this.g.precompute(e.n.bitLength()+1),this.pointClass=e.point().constructor,this.encodingLength=Math.ceil(e.n.bitLength()/8),this.hash=i.sha512}e.exports=d,d.prototype.sign=function(e,t){e=s(e);var r=this.keyFromSecret(t),i=this.hashInt(r.messagePrefix(),e),n=this.g.mul(i),a=this.encodePoint(n),o=this.hashInt(a,r.pubBytes(),e).mul(r.priv()),f=i.add(o).umod(this.curve.n);return this.makeSignature({R:n,S:f,Rencoded:a})},d.prototype.verify=function(e,t,r){e=s(e),t=this.makeSignature(t);var i=this.keyFromPublic(r),n=this.hashInt(t.Rencoded(),i.pubBytes(),e),a=this.g.mul(t.S());return t.R().add(i.pub().mul(n)).eq(a)},d.prototype.hashInt=function(){for(var e=this.hash(),t=0;t<arguments.length;t++)e.update(arguments[t]);return a.intFromLE(e.digest()).umod(this.curve.n)},d.prototype.keyFromPublic=function(e){return f.fromPublic(this,e)},d.prototype.keyFromSecret=function(e){return f.fromSecret(this,e)},d.prototype.makeSignature=function(e){return e instanceof c?e:new c(this,e)},d.prototype.encodePoint=function(e){var t=e.getY().toArray("le",this.encodingLength);return t[this.encodingLength-1]|=e.getX().isOdd()?128:0,t},d.prototype.decodePoint=function(e){var t=(e=a.parseBytes(e)).length-1,r=e.slice(0,t).concat(-129&e[t]),i=0!=(128&e[t]),n=a.intFromLE(r);return this.curve.pointFromY(n,i)},d.prototype.encodeInt=function(e){return e.toArray("le",this.encodingLength)},d.prototype.decodeInt=function(e){return a.intFromLE(e)},d.prototype.isPoint=function(e){return e instanceof this.pointClass}},function(e,t,r){"use strict";var i=r(7),n=i.assert,a=i.parseBytes,o=i.cachedProperty;function s(e,t){this.eddsa=e,this._secret=a(t.secret),e.isPoint(t.pub)?this._pub=t.pub:this._pubBytes=a(t.pub)}s.fromPublic=function(e,t){return t instanceof s?t:new s(e,{pub:t})},s.fromSecret=function(e,t){return t instanceof s?t:new s(e,{secret:t})},s.prototype.secret=function(){return this._secret},o(s,"pubBytes",(function(){return this.eddsa.encodePoint(this.pub())})),o(s,"pub",(function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())})),o(s,"privBytes",(function(){var e=this.eddsa,t=this.hash(),r=e.encodingLength-1,i=t.slice(0,e.encodingLength);return i[0]&=248,i[r]&=127,i[r]|=64,i})),o(s,"priv",(function(){return this.eddsa.decodeInt(this.privBytes())})),o(s,"hash",(function(){return this.eddsa.hash().update(this.secret()).digest()})),o(s,"messagePrefix",(function(){return this.hash().slice(this.eddsa.encodingLength)})),s.prototype.sign=function(e){return n(this._secret,"KeyPair can only verify"),this.eddsa.sign(e,this)},s.prototype.verify=function(e,t){return this.eddsa.verify(e,t,this)},s.prototype.getSecret=function(e){return n(this._secret,"KeyPair is public only"),i.encode(this.secret(),e)},s.prototype.getPublic=function(e){return i.encode(this.pubBytes(),e)},e.exports=s},function(e,t,r){"use strict";var i=r(4),n=r(7),a=n.assert,o=n.cachedProperty,s=n.parseBytes;function f(e,t){this.eddsa=e,"object"!=typeof t&&(t=s(t)),Array.isArray(t)&&(t={R:t.slice(0,e.encodingLength),S:t.slice(e.encodingLength)}),a(t.R&&t.S,"Signature without R or S"),e.isPoint(t.R)&&(this._R=t.R),t.S instanceof i&&(this._S=t.S),this._Rencoded=Array.isArray(t.R)?t.R:t.Rencoded,this._Sencoded=Array.isArray(t.S)?t.S:t.Sencoded}o(f,"S",(function(){return this.eddsa.decodeInt(this.Sencoded())})),o(f,"R",(function(){return this.eddsa.decodePoint(this.Rencoded())})),o(f,"Rencoded",(function(){return this.eddsa.encodePoint(this.R())})),o(f,"Sencoded",(function(){return this.eddsa.encodeInt(this.S())})),f.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},f.prototype.toHex=function(){return n.encode(this.toBytes(),"hex").toUpperCase()},e.exports=f},function(e,t){},function(e,t,r){"use strict";var i=r(99);t.certificate=r(209);var n=i.define("RSAPrivateKey",(function(){this.seq().obj(this.key("version").int(),this.key("modulus").int(),this.key("publicExponent").int(),this.key("privateExponent").int(),this.key("prime1").int(),this.key("prime2").int(),this.key("exponent1").int(),this.key("exponent2").int(),this.key("coefficient").int())}));t.RSAPrivateKey=n;var a=i.define("RSAPublicKey",(function(){this.seq().obj(this.key("modulus").int(),this.key("publicExponent").int())}));t.RSAPublicKey=a;var o=i.define("SubjectPublicKeyInfo",(function(){this.seq().obj(this.key("algorithm").use(s),this.key("subjectPublicKey").bitstr())}));t.PublicKey=o;var s=i.define("AlgorithmIdentifier",(function(){this.seq().obj(this.key("algorithm").objid(),this.key("none").null_().optional(),this.key("curve").objid().optional(),this.key("params").seq().obj(this.key("p").int(),this.key("q").int(),this.key("g").int()).optional())})),f=i.define("PrivateKeyInfo",(function(){this.seq().obj(this.key("version").int(),this.key("algorithm").use(s),this.key("subjectPrivateKey").octstr())}));t.PrivateKey=f;var c=i.define("EncryptedPrivateKeyInfo",(function(){this.seq().obj(this.key("algorithm").seq().obj(this.key("id").objid(),this.key("decrypt").seq().obj(this.key("kde").seq().obj(this.key("id").objid(),this.key("kdeparams").seq().obj(this.key("salt").octstr(),this.key("iters").int())),this.key("cipher").seq().obj(this.key("algo").objid(),this.key("iv").octstr()))),this.key("subjectPrivateKey").octstr())}));t.EncryptedPrivateKey=c;var d=i.define("DSAPrivateKey",(function(){this.seq().obj(this.key("version").int(),this.key("p").int(),this.key("q").int(),this.key("g").int(),this.key("pub_key").int(),this.key("priv_key").int())}));t.DSAPrivateKey=d,t.DSAparam=i.define("DSAparam",(function(){this.int()}));var u=i.define("ECPrivateKey",(function(){this.seq().obj(this.key("version").int(),this.key("privateKey").octstr(),this.key("parameters").optional().explicit(0).use(h),this.key("publicKey").optional().explicit(1).bitstr())}));t.ECPrivateKey=u;var h=i.define("ECParameters",(function(){this.choice({namedCurve:this.objid()})}));t.signature=i.define("signature",(function(){this.seq().obj(this.key("r").int(),this.key("s").int())}))},function(e,t,r){"use strict";const i=r(100),n=r(102),a=r(0);function o(e,t){this.name=e,this.body=t,this.decoders={},this.encoders={}}t.define=function(e,t){return new o(e,t)},o.prototype._createNamed=function(e){const t=this.name;function r(e){this._initNamed(e,t)}return a(r,e),r.prototype._initNamed=function(t,r){e.call(this,t,r)},new r(this)},o.prototype._getDecoder=function(e){return e=e||"der",this.decoders.hasOwnProperty(e)||(this.decoders[e]=this._createNamed(n[e])),this.decoders[e]},o.prototype.decode=function(e,t,r){return this._getDecoder(t).decode(e,r)},o.prototype._getEncoder=function(e){return e=e||"der",this.encoders.hasOwnProperty(e)||(this.encoders[e]=this._createNamed(i[e])),this.encoders[e]},o.prototype.encode=function(e,t,r){return this._getEncoder(t).encode(e,r)}},function(e,t,r){"use strict";const i=r(0),n=r(101);function a(e){n.call(this,e),this.enc="pem"}i(a,n),e.exports=a,a.prototype.encode=function(e,t){const r=n.prototype.encode.call(this,e).toString("base64"),i=["-----BEGIN "+t.label+"-----"];for(let e=0;e<r.length;e+=64)i.push(r.slice(e,e+64));return i.push("-----END "+t.label+"-----"),i.join("\n")}},function(e,t,r){"use strict";const i=r(0),n=r(51).Buffer,a=r(103);function o(e){a.call(this,e),this.enc="pem"}i(o,a),e.exports=o,o.prototype.decode=function(e,t){const r=e.toString().split(/[\r\n]+/g),i=t.label.toUpperCase(),o=/^-----(BEGIN|END) ([^-]+)-----$/;let s=-1,f=-1;for(let e=0;e<r.length;e++){const t=r[e].match(o);if(null!==t&&t[2]===i){if(-1!==s){if("END"!==t[1])break;f=e;break}if("BEGIN"!==t[1])break;s=e}}if(-1===s||-1===f)throw new Error("PEM section not found for: "+i);const c=r.slice(s+1,f).join("");c.replace(/[^a-z0-9+/=]+/gi,"");const d=n.from(c,"base64");return a.prototype.decode.call(this,d,t)}},function(e,t,r){"use strict";const i=t;i.Reporter=r(53).Reporter,i.DecoderBuffer=r(25).DecoderBuffer,i.EncoderBuffer=r(25).EncoderBuffer,i.Node=r(52)},function(e,t,r){"use strict";const i=t;i._reverse=function(e){const t={};return Object.keys(e).forEach((function(r){(0|r)==r&&(r|=0);const i=e[r];t[i]=r})),t},i.der=r(54)},function(e,t,r){"use strict";var i=r(99),n=i.define("Time",(function(){this.choice({utcTime:this.utctime(),generalTime:this.gentime()})})),a=i.define("AttributeTypeValue",(function(){this.seq().obj(this.key("type").objid(),this.key("value").any())})),o=i.define("AlgorithmIdentifier",(function(){this.seq().obj(this.key("algorithm").objid(),this.key("parameters").optional(),this.key("curve").objid().optional())})),s=i.define("SubjectPublicKeyInfo",(function(){this.seq().obj(this.key("algorithm").use(o),this.key("subjectPublicKey").bitstr())})),f=i.define("RelativeDistinguishedName",(function(){this.setof(a)})),c=i.define("RDNSequence",(function(){this.seqof(f)})),d=i.define("Name",(function(){this.choice({rdnSequence:this.use(c)})})),u=i.define("Validity",(function(){this.seq().obj(this.key("notBefore").use(n),this.key("notAfter").use(n))})),h=i.define("Extension",(function(){this.seq().obj(this.key("extnID").objid(),this.key("critical").bool().def(!1),this.key("extnValue").octstr())})),l=i.define("TBSCertificate",(function(){this.seq().obj(this.key("version").explicit(0).int().optional(),this.key("serialNumber").int(),this.key("signature").use(o),this.key("issuer").use(d),this.key("validity").use(u),this.key("subject").use(d),this.key("subjectPublicKeyInfo").use(s),this.key("issuerUniqueID").implicit(1).bitstr().optional(),this.key("subjectUniqueID").implicit(2).bitstr().optional(),this.key("extensions").explicit(3).seqof(h).optional())})),b=i.define("X509Certificate",(function(){this.seq().obj(this.key("tbsCertificate").use(l),this.key("signatureAlgorithm").use(o),this.key("signatureValue").bitstr())}));e.exports=b},function(e){e.exports=JSON.parse('{"2.16.840.1.101.3.4.1.1":"aes-128-ecb","2.16.840.1.101.3.4.1.2":"aes-128-cbc","2.16.840.1.101.3.4.1.3":"aes-128-ofb","2.16.840.1.101.3.4.1.4":"aes-128-cfb","2.16.840.1.101.3.4.1.21":"aes-192-ecb","2.16.840.1.101.3.4.1.22":"aes-192-cbc","2.16.840.1.101.3.4.1.23":"aes-192-ofb","2.16.840.1.101.3.4.1.24":"aes-192-cfb","2.16.840.1.101.3.4.1.41":"aes-256-ecb","2.16.840.1.101.3.4.1.42":"aes-256-cbc","2.16.840.1.101.3.4.1.43":"aes-256-ofb","2.16.840.1.101.3.4.1.44":"aes-256-cfb"}')},function(e,t,r){var i=/Proc-Type: 4,ENCRYPTED[\n\r]+DEK-Info: AES-((?:128)|(?:192)|(?:256))-CBC,([0-9A-H]+)[\n\r]+([0-9A-z\n\r+/=]+)[\n\r]+/m,n=/^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----/m,a=/^-----BEGIN ((?:.*? KEY)|CERTIFICATE)-----([0-9A-z\n\r+/=]+)-----END \1-----$/m,o=r(29),s=r(43),f=r(1).Buffer;e.exports=function(e,t){var r,c=e.toString(),d=c.match(i);if(d){var u="aes"+d[1],h=f.from(d[2],"hex"),l=f.from(d[3].replace(/[\r\n]/g,""),"base64"),b=o(t,h.slice(0,8),parseInt(d[1],10)).key,p=[],m=s.createDecipheriv(u,b,h);p.push(m.update(l)),p.push(m.final()),r=f.concat(p)}else{var g=c.match(a);r=f.from(g[2].replace(/[\r\n]/g,""),"base64")}return{tag:c.match(n)[1],data:r}}},function(e,t,r){var i=r(1).Buffer,n=r(98),a=r(30).ec,o=r(32),s=r(104);function f(e,t){if(e.cmpn(0)<=0)throw new Error("invalid sig");if(e.cmp(t)>=t)throw new Error("invalid sig")}e.exports=function(e,t,r,c,d){var u=o(r);if("ec"===u.type){if("ecdsa"!==c&&"ecdsa/rsa"!==c)throw new Error("wrong public key type");return function(e,t,r){var i=s[r.data.algorithm.curve.join(".")];if(!i)throw new Error("unknown curve "+r.data.algorithm.curve.join("."));var n=new a(i),o=r.data.subjectPrivateKey.data;return n.verify(t,e,o)}(e,t,u)}if("dsa"===u.type){if("dsa"!==c)throw new Error("wrong public key type");return function(e,t,r){var i=r.data.p,a=r.data.q,s=r.data.g,c=r.data.pub_key,d=o.signature.decode(e,"der"),u=d.s,h=d.r;f(u,a),f(h,a);var l=n.mont(i),b=u.invm(a);return 0===s.toRed(l).redPow(new n(t).mul(b).mod(a)).fromRed().mul(c.toRed(l).redPow(h.mul(b).mod(a)).fromRed()).mod(i).mod(a).cmp(h)}(e,t,u)}if("rsa"!==c&&"ecdsa/rsa"!==c)throw new Error("wrong public key type");t=i.concat([d,t]);for(var h=u.modulus.byteLength(),l=[1],b=0;t.length+l.length+2<h;)l.push(255),b++;l.push(0);for(var p=-1;++p<t.length;)l.push(t[p]);l=i.from(l);var m=n.mont(u.modulus);e=(e=new n(e).toRed(m)).redPow(new n(u.publicExponent)),e=i.from(e.fromRed().toArray());var g=b<8?1:0;for(h=Math.min(e.length,l.length),e.length!==l.length&&(g=1),p=-1;++p<h;)g|=e[p]^l[p];return 0===g}},function(e,t,r){(function(t){var i=r(30),n=r(4);e.exports=function(e){return new o(e)};var a={secp256k1:{name:"secp256k1",byteLength:32},secp224r1:{name:"p224",byteLength:28},prime256v1:{name:"p256",byteLength:32},prime192v1:{name:"p192",byteLength:24},ed25519:{name:"ed25519",byteLength:32},secp384r1:{name:"p384",byteLength:48},secp521r1:{name:"p521",byteLength:66}};function o(e){this.curveType=a[e],this.curveType||(this.curveType={name:e}),this.curve=new i.ec(this.curveType.name),this.keys=void 0}function s(e,r,i){Array.isArray(e)||(e=e.toArray());var n=new t(e);if(i&&n.length<i){var a=new t(i-n.length);a.fill(0),n=t.concat([a,n])}return r?n.toString(r):n}a.p224=a.secp224r1,a.p256=a.secp256r1=a.prime256v1,a.p192=a.secp192r1=a.prime192v1,a.p384=a.secp384r1,a.p521=a.secp521r1,o.prototype.generateKeys=function(e,t){return this.keys=this.curve.genKeyPair(),this.getPublicKey(e,t)},o.prototype.computeSecret=function(e,r,i){return r=r||"utf8",t.isBuffer(e)||(e=new t(e,r)),s(this.curve.keyFromPublic(e).getPublic().mul(this.keys.getPrivate()).getX(),i,this.curveType.byteLength)},o.prototype.getPublicKey=function(e,t){var r=this.keys.getPublic("compressed"===t,!0);return"hybrid"===t&&(r[r.length-1]%2?r[0]=7:r[0]=6),s(r,e)},o.prototype.getPrivateKey=function(e){return s(this.keys.getPrivate(),e)},o.prototype.setPublicKey=function(e,r){return r=r||"utf8",t.isBuffer(e)||(e=new t(e,r)),this.keys._importPublic(e),this},o.prototype.setPrivateKey=function(e,r){r=r||"utf8",t.isBuffer(e)||(e=new t(e,r));var i=new n(e);return i=i.toString(16),this.keys=this.curve.genKeyPair(),this.keys._importPrivate(i),this}}).call(this,r(2).Buffer)},function(e,t,r){t.publicEncrypt=r(215),t.privateDecrypt=r(216),t.privateEncrypt=function(e,r){return t.publicEncrypt(e,r,!0)},t.publicDecrypt=function(e,r){return t.privateDecrypt(e,r,!0)}},function(e,t,r){var i=r(32),n=r(10),a=r(11),o=r(105),s=r(106),f=r(4),c=r(107),d=r(48),u=r(1).Buffer;e.exports=function(e,t,r){var h;h=e.padding?e.padding:r?1:4;var l,b=i(e);if(4===h)l=function(e,t){var r=e.modulus.byteLength(),i=t.length,c=a("sha1").update(u.alloc(0)).digest(),d=c.length,h=2*d;if(i>r-h-2)throw new Error("message too long");var l=u.alloc(r-i-h-2),b=r-d-1,p=n(d),m=s(u.concat([c,l,u.alloc(1,1),t],b),o(p,b)),g=s(p,o(m,d));return new f(u.concat([u.alloc(1),g,m],r))}(b,t);else if(1===h)l=function(e,t,r){var i,a=t.length,o=e.modulus.byteLength();if(a>o-11)throw new Error("message too long");i=r?u.alloc(o-a-3,255):function(e){var t,r=u.allocUnsafe(e),i=0,a=n(2*e),o=0;for(;i<e;)o===a.length&&(a=n(2*e),o=0),(t=a[o++])&&(r[i++]=t);return r}(o-a-3);return new f(u.concat([u.from([0,r?1:2]),i,u.alloc(1),t],o))}(b,t,r);else{if(3!==h)throw new Error("unknown padding");if((l=new f(t)).cmp(b.modulus)>=0)throw new Error("data too long for modulus")}return r?d(l,b):c(l,b)}},function(e,t,r){var i=r(32),n=r(105),a=r(106),o=r(4),s=r(48),f=r(11),c=r(107),d=r(1).Buffer;e.exports=function(e,t,r){var u;u=e.padding?e.padding:r?1:4;var h,l=i(e),b=l.modulus.byteLength();if(t.length>b||new o(t).cmp(l.modulus)>=0)throw new Error("decryption error");h=r?c(new o(t),l):s(t,l);var p=d.alloc(b-h.length);if(h=d.concat([p,h],b),4===u)return function(e,t){var r=e.modulus.byteLength(),i=f("sha1").update(d.alloc(0)).digest(),o=i.length;if(0!==t[0])throw new Error("decryption error");var s=t.slice(1,o+1),c=t.slice(o+1),u=a(s,n(c,o)),h=a(c,n(u,r-o-1));if(function(e,t){e=d.from(e),t=d.from(t);var r=0,i=e.length;e.length!==t.length&&(r++,i=Math.min(e.length,t.length));var n=-1;for(;++n<i;)r+=e[n]^t[n];return r}(i,h.slice(0,o)))throw new Error("decryption error");var l=o;for(;0===h[l];)l++;if(1!==h[l++])throw new Error("decryption error");return h.slice(l)}(l,h);if(1===u)return function(e,t,r){var i=t.slice(0,2),n=2,a=0;for(;0!==t[n++];)if(n>=t.length){a++;break}var o=t.slice(2,n-1);("0002"!==i.toString("hex")&&!r||"0001"!==i.toString("hex")&&r)&&a++;o.length<8&&a++;if(a)throw new Error("decryption error");return t.slice(n)}(0,h,r);if(3===u)return h;throw new Error("unknown padding")}},function(e,t,r){"use strict";(function(e,i){function n(){throw new Error("secure random number generation not supported by this browser\nuse chrome, FireFox or Internet Explorer 11")}var a=r(1),o=r(10),s=a.Buffer,f=a.kMaxLength,c=e.crypto||e.msCrypto,d=Math.pow(2,32)-1;function u(e,t){if("number"!=typeof e||e!=e)throw new TypeError("offset must be a number");if(e>d||e<0)throw new TypeError("offset must be a uint32");if(e>f||e>t)throw new RangeError("offset out of range")}function h(e,t,r){if("number"!=typeof e||e!=e)throw new TypeError("size must be a number");if(e>d||e<0)throw new TypeError("size must be a uint32");if(e+t>r||e>f)throw new RangeError("buffer too small")}function l(e,t,r,n){if(i.browser){var a=e.buffer,s=new Uint8Array(a,t,r);return c.getRandomValues(s),n?void i.nextTick((function(){n(null,e)})):e}if(!n)return o(r).copy(e,t),e;o(r,(function(r,i){if(r)return n(r);i.copy(e,t),n(null,e)}))}c&&c.getRandomValues||!i.browser?(t.randomFill=function(t,r,i,n){if(!(s.isBuffer(t)||t instanceof e.Uint8Array))throw new TypeError('"buf" argument must be a Buffer or Uint8Array');if("function"==typeof r)n=r,r=0,i=t.length;else if("function"==typeof i)n=i,i=t.length-r;else if("function"!=typeof n)throw new TypeError('"cb" argument must be a function');return u(r,t.length),h(i,r,t.length),l(t,r,i,n)},t.randomFillSync=function(t,r,i){void 0===r&&(r=0);if(!(s.isBuffer(t)||t instanceof e.Uint8Array))throw new TypeError('"buf" argument must be a Buffer or Uint8Array');u(r,t.length),void 0===i&&(i=t.length-r);return h(i,r,t.length),l(t,r,i)}):(t.randomFill=n,t.randomFillSync=n)}).call(this,r(5),r(3))},function(e,t,r){"use strict";
/*!
 * ed25519.js - ed25519 for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(219)},function(e,t,r){"use strict";
/*!
 * ed25519.js - ed25519 for bcrypto
 * Copyright (c) 2018-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Resources:
 *   https://en.wikipedia.org/wiki/EdDSA#Ed25519
 *   https://ed25519.cr.yp.to/ed25519-20110926.pdf
 *   https://tools.ietf.org/html/rfc8032#section-5.1
 */const i=r(220),n=r(226),a=r(228);e.exports=new i("ED25519","X25519",null,n,a)},function(e,t,r){"use strict";(function(t){
/*!
 * eddsa.js - EdDSA for bcrypto
 * Copyright (c) 2018-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/elliptic:
 *   Copyright (c) 2014, Fedor Indutny (MIT License).
 *   https://github.com/indutny/elliptic
 *
 * References:
 *
 *   [EDDSA] High-speed high-security signatures
 *     D. J. Bernstein, N. Duif, T. Lange, P. Schwabe, B. Yang
 *     https://ed25519.cr.yp.to/ed25519-20110926.pdf
 *
 *   [RFC8032] Edwards-Curve Digital Signature Algorithm (EdDSA)
 *     S. Josefsson, I. Liusvaara
 *     https://tools.ietf.org/html/rfc8032
 *
 * Implementation Notes:
 *
 *   - In contrast to the ECDSA backend, we allow points at
 *     infinity (in all functions).
 *
 *   - Mike Hamburg's Ed448-Goldilocks rejects both infinity as
 *     well as the torsion point (0, -1). We do not replicate
 *     this behavior.
 *
 *   - For Ed25519, we do "cofactor-less" verification by default.
 *     This means torsion components will affect the result of the
 *     verification.
 *
 *   - For Ed448, we do cofactor verification by default to mimic
 *     OpenSSL and Mike Hamburg's Ed448-Goldilocks implementation.
 *
 *   - `verifySingle`/`verifyBatch` do cofactor verification. Do
 *     not use `verifyBatch` expecting the same results as the
 *     regular `verify` call[1]. This will not be the case for
 *     Ed25519.
 *
 *   - All functions are completely unaware of points of small
 *     order and torsion components (in other words, points will
 *     not be explicitly checked for this, anywhere).
 *
 *   - `deriveWithScalar` and `exchangeWithScalar` automatically
 *     clamp scalars before multiplying (meaning torsion components
 *     are removed from the result and points of small order will
 *     be normalized to infinity).
 *
 *   - The HD function, `publicKeyTweakMul`, _does not_ clamp
 *     automatically. It is possible to end up with a torsion
 *     component in the resulting point (assuming the input
 *     point had one).
 *
 *   - Ed448-Goldilocks is 4-isogenous to Curve448. This means
 *     that when converting to Curve448, small order points will
 *     be normalized to (0, 0). When converting back to Ed448,
 *     any small order points will be normalized to infinity,
 *     and any torsion components will be removed completely.
 *     Also note that when converting back, the implementation
 *     needs to divide the point by 4. This is a major perf hit,
 *     so treat `x448.publicKeyConvert` as if it were a point
 *     multiplication.
 *
 *   - Elligators should not be used with Edwards curves. As
 *     Tibouchi notes[2], regular public keys will map to
 *     _distinguishable_ field elements as they are always in
 *     the primary subgroup. Either the Ristretto Elligator[3],
 *     or a prime order curve with an Elligator Squared[2]
 *     construction are suitable alternatives here.
 *
 *   - These notes also spell out why you should avoid using
 *     Edwards curves on a blockchain[4].
 *
 *   [1] https://moderncrypto.org/mail-archive/curves/2016/000836.html
 *   [2] https://eprint.iacr.org/2014/043.pdf
 *   [3] https://ristretto.group/formulas/elligator.html
 *   [4] https://src.getmonero.org/2017/05/17/disclosure-of-a-major-bug-in-cryptonote-based-currencies.html
 */
const i=r(8),n=r(108),a=r(21),o=r(112),s=r(113);class f{constructor(e){this.curve=e.curve,this.hash=new e.hash}init(e,r){return i(null==e||"boolean"==typeof e),i(t.isBuffer(r)),r.length>255&&(r=r.slice(0,255)),this.hash.init(),(this.curve.context||null!=e||r.length>0)&&(this.curve.prefix&&this.hash.update(this.curve.prefix),this.hash.update(c(e)),this.hash.update(c(r.length)),this.hash.update(r)),this}update(e){return this.hash.update(e),this}final(){const e=this.hash.final(2*this.curve.adjustedSize);return a.decode(e,this.curve.endian).imod(this.curve.n)}}function c(e){const r=t.alloc(1);return r[0]=255&e,r}e.exports=class{constructor(e,t,r,n,a){i("string"==typeof e),i(!t||"string"==typeof t),i(!r||"string"==typeof r),i(n),this.id=e,this.type="eddsa",this.mid=t||null,this.eid=r||null,this.hash=n,this.native=0,this._pre=a||null,this._curve=null,this._mont=null,this._iso=null,this._rng=null}get curve(){return this._curve||(this._curve=o.curve(this.id,this._pre),this._curve.precompute(s),this._pre=null),this._curve}get mont(){return this.mid&&!this._mont&&(this._mont=o.curve(this.mid)),this._mont}get iso(){return this.eid?(this._iso||(this._iso=o.curve(this.eid)),this._iso):this.mont}get rng(){return this._rng||(this._rng=new n(this.curve)),this._rng}get size(){return this.curve.adjustedSize}get bits(){return this.curve.fieldBits}hashNonce(e,t,r,i){const n=new f(this);return n.init(r,i),n.update(e),n.update(t),n.final()}hashChallenge(e,t,r,i,n){const a=new f(this);return a.init(i,n),a.update(e),a.update(t),a.update(r),a.final()}privateKeyGenerate(){return s.randomBytes(this.curve.adjustedSize)}scalarGenerate(){const e=s.randomBytes(this.curve.scalarSize);return this.curve.clamp(e)}privateKeyExpand(e){i(t.isBuffer(e)),i(e.length===this.curve.adjustedSize);const r=this.hash.digest(e,2*this.curve.adjustedSize);return this.curve.splitHash(r)}privateKeyConvert(e){const[t]=this.privateKeyExpand(e);return t}privateKeyVerify(e){return i(t.isBuffer(e)),e.length===this.curve.adjustedSize}scalarVerify(e){return i(t.isBuffer(e)),e.length===this.curve.scalarSize}scalarIsZero(e){let r;i(t.isBuffer(e));try{r=this.curve.decodeScalar(e).imod(this.curve.n)}catch(e){return!1}return r.isZero()}scalarClamp(e){return i(t.isBuffer(e)),i(e.length===this.curve.scalarSize),this.curve.clamp(t.from(e))}privateKeyExport(e){const r=this.publicKeyCreate(e),{x:i,y:n}=this.publicKeyExport(r);return{d:t.from(e),x:i,y:n}}privateKeyImport(e){if(i(e&&"object"==typeof e),i(t.isBuffer(e.d)),e.d.length!==this.curve.adjustedSize)throw new Error("Invalid private key.");return t.from(e.d)}scalarTweakAdd(e,t){const r=this.curve.decodeScalar(e),i=this.curve.decodeScalar(t),n=r.add(i).imod(this.curve.n);return this.curve.encodeScalar(n)}scalarTweakMul(e,t){const r=this.curve.decodeScalar(e),i=this.curve.decodeScalar(t),n=r.mul(i).imod(this.curve.n);return this.curve.encodeScalar(n)}scalarReduce(e){const t=this.curve.decodeScalar(e).imod(this.curve.n);return this.curve.encodeScalar(t)}scalarNegate(e){const t=this.curve.decodeScalar(e).imod(this.curve.n).neg().imod(this.curve.n);return this.curve.encodeScalar(t)}scalarInvert(e){const t=this.curve.decodeScalar(e).imod(this.curve.n);if(t.isZero())return this.curve.encodeScalar(t);const r=t.invert(this.curve.n);return this.curve.encodeScalar(r)}publicKeyCreate(e){const t=this.privateKeyConvert(e);return this.publicKeyFromScalar(t)}publicKeyFromScalar(e){const t=this.curve.decodeScalar(e).imod(this.curve.n);return this.curve.g.mulBlind(t).encode()}publicKeyConvert(e){if(!this.mont)throw new Error("No equivalent montgomery curve.");const t=this.curve.decodePoint(e);return this.mont.pointFromEdwards(t).encode()}publicKeyFromUniform(e){const t=this.curve.decodeUniform(e);return this.curve.pointFromUniform(t,this.iso).encode()}publicKeyToUniform(e,t=s.randomInt()){const r=this.curve.decodePoint(e),i=this.curve.pointToUniform(r,t,this.iso);return this.curve.encodeUniform(i,t>>>8)}publicKeyFromHash(e,t=!1){return this.curve.pointFromHash(e,t,this.iso).encode()}publicKeyToHash(e,t=s.randomInt()){const r=this.curve.decodePoint(e);return this.curve.pointToHash(r,t,s,this.iso)}publicKeyVerify(e){i(t.isBuffer(e));try{this.curve.decodePoint(e)}catch(e){return!1}return!0}publicKeyIsInfinity(e){let r;i(t.isBuffer(e));try{r=this.curve.decodePoint(e)}catch(e){return!1}return r.isInfinity()}publicKeyIsSmall(e){let r;i(t.isBuffer(e));try{r=this.curve.decodePoint(e)}catch(e){return!1}return r.isSmall()}publicKeyHasTorsion(e){let r;i(t.isBuffer(e));try{r=this.curve.decodePoint(e)}catch(e){return!1}return r.hasTorsion()}publicKeyExport(e){const{x:t,y:r}=this.curve.decodePoint(e);return{x:this.curve.encodeField(t.fromRed()),y:this.curve.encodeField(r.fromRed())}}publicKeyImport(e){i(e&&"object"==typeof e);let t,r=null,n=null;if(null!=e.x&&(r=a.decode(e.x,this.curve.endian),r.cmp(this.curve.p)>=0))throw new Error("Invalid point.");if(null!=e.y&&(n=a.decode(e.y,this.curve.endian),n.cmp(this.curve.p)>=0))throw new Error("Invalid point.");if(r&&n){if(t=this.curve.point(r,n),!t.validate())throw new Error("Invalid point.")}else if(r)t=this.curve.pointFromX(r,e.sign);else{if(!n)throw new Error("Invalid point.");t=this.curve.pointFromY(n,e.sign)}return t.encode()}publicKeyTweakAdd(e,t){const r=this.curve.decodeScalar(t).imod(this.curve.n),i=this.curve.decodePoint(e);return this.curve.g.mul(r).add(i).encode()}publicKeyTweakMul(e,t){const r=this.curve.decodeScalar(t);return this.curve.decodePoint(e).mul(r).encode()}publicKeyCombine(e){i(Array.isArray(e));let t=this.curve.point();for(const r of e){const e=this.curve.decodePoint(r);t=t.add(e)}return t.encode()}publicKeyNegate(e){return this.curve.decodePoint(e).neg().encode()}sign(e,t,r,i){const[n,a]=this.privateKeyExpand(t);return this.signWithScalar(e,n,a,r,i)}signWithScalar(e,r,n,a,o){null==o&&(o=t.alloc(0)),i(t.isBuffer(e)),i(t.isBuffer(n)),i(n.length===this.curve.adjustedSize);const{n:s}=this.curve,f=this.curve.g,c=this.hashNonce(n,e,a,o),d=f.mulBlind(c).encode(),u=this.curve.decodeScalar(r),h=f.mulBlind(u).encode(),l=this.hashChallenge(d,h,e,a,o),b=c.add(l.mul(u)).imod(s);return t.concat([d,this.curve.encodeAdjusted(b)])}signTweakAdd(e,t,r,i,n){const[a,o]=this.privateKeyExpand(t),s=this.scalarTweakAdd(a,r),f=this.hash.multi(o,r,null,2*this.curve.adjustedSize).slice(0,this.curve.adjustedSize);return this.signWithScalar(e,s,f,i,n)}signTweakMul(e,t,r,i,n){const[a,o]=this.privateKeyExpand(t),s=this.scalarTweakMul(a,r),f=this.hash.multi(o,r,null,2*this.curve.adjustedSize).slice(0,this.curve.adjustedSize);return this.signWithScalar(e,s,f,i,n)}verify(e,r,n,a,o){if(null==o&&(o=t.alloc(0)),i(t.isBuffer(e)),i(t.isBuffer(r)),i(t.isBuffer(n)),i(null==a||"boolean"==typeof a),i(t.isBuffer(o)),r.length!==2*this.curve.adjustedSize)return!1;if(n.length!==this.curve.adjustedSize)return!1;try{return this._verify(e,r,n,a,o)}catch(e){return!1}}_verify(e,t,r,i,n){const{n:a}=this.curve,o=this.curve.g,s=t.slice(0,this.curve.adjustedSize),f=t.slice(this.curve.adjustedSize),c=this.curve.decodePoint(s),d=this.curve.decodeAdjusted(f),u=this.curve.decodePoint(r);if(d.cmp(a)>=0)return!1;const h=this.hashChallenge(s,r,e,i,n);return o.mulAdd(d,u.neg(),h).eq(c)}verifySingle(e,r,n,a,o){if(null==o&&(o=t.alloc(0)),i(t.isBuffer(e)),i(t.isBuffer(r)),i(t.isBuffer(n)),i(null==a||"boolean"==typeof a),i(t.isBuffer(o)),r.length!==2*this.curve.adjustedSize)return!1;if(n.length!==this.curve.adjustedSize)return!1;try{return this._verifySingle(e,r,n,a,o)}catch(e){return!1}}_verifySingle(e,t,r,i,n){const{n:a}=this.curve,o=this.curve.g,s=t.slice(0,this.curve.adjustedSize),f=t.slice(this.curve.adjustedSize),c=this.curve.decodePoint(s),d=this.curve.decodeAdjusted(f),u=this.curve.decodePoint(r);if(d.cmp(a)>=0)return!1;const h=this.hashChallenge(s,r,e,i,n),l=this.curve.imulH(d),b=u.mulH(),p=c.mulH();return o.mulAdd(l,b.neg(),h).eq(p)}verifyBatch(e,r,n){null==n&&(n=t.alloc(0)),i(Array.isArray(e)),i(null==r||"boolean"==typeof r),i(t.isBuffer(n));for(const r of e){i(Array.isArray(r)&&3===r.length);const[e,n,a]=r;if(i(t.isBuffer(e)),i(t.isBuffer(n)),i(t.isBuffer(a)),n.length!==2*this.curve.adjustedSize)return!1;if(a.length!==this.curve.adjustedSize)return!1}try{return this._verifyBatch(e,r,n)}catch(e){return!1}}_verifyBatch(e,t,r){const{n:i}=this.curve,n=this.curve.g,o=new Array(1+2*e.length),s=new Array(1+2*e.length),f=new a(0);this.rng.init(e),o[0]=n,s[0]=f;for(let n=0;n<e.length;n++){const[a,c,d]=e[n],u=c.slice(0,this.curve.adjustedSize),h=c.slice(this.curve.adjustedSize),l=this.curve.decodePoint(u),b=this.curve.decodeAdjusted(h),p=this.curve.decodePoint(d);if(b.cmp(i)>=0)return!1;const m=this.hashChallenge(u,d,a,t,r),g=this.rng.generate(n),v=m.mul(g).imod(i);f.iadd(b.mul(g)).imod(i),o[1+2*n+0]=l.mulH(),s[1+2*n+0]=g,o[1+2*n+1]=p.mulH(),s[1+2*n+1]=v}return this.curve.imulH(f.ineg()),this.curve.mulAll(o,s).isInfinity()}derive(e,t){const r=this.privateKeyConvert(t);return this.deriveWithScalar(e,r)}deriveWithScalar(e,t){const r=this.curve.decodePoint(e),i=this.curve.decodeClamped(t),n=r.mulBlind(i,s);if(n.isInfinity())throw new Error("Invalid point.");return n.encode()}}}).call(this,r(2).Buffer)},function(e,t,r){"use strict";(function(t){
/*!
 * bn.js - big numbers for bcrypto
 * Copyright (c) 2018-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/bn.js:
 *   Copyright (c) 2015, Fedor Indutny (MIT License).
 *   https://github.com/indutny/bn.js
 *
 * Parts of this software are based on golang/go:
 *   Copyright (c) 2009, The Go Authors. All rights reserved.
 *   https://github.com/golang/go
 *
 * Parts of this software are based on openssl/openssl:
 *   Copyright (c) 1998-2018, The OpenSSL Project (Apache License v2.0).
 *   Copyright (c) 1995-1998, Eric A. Young, Tim J. Hudson. All rights reserved.
 *   https://github.com/openssl/openssl
 *
 * Parts of this software are based on libgmp:
 *   Copyright (c) 1991-1997, 1999-2014, Free Software Foundation, Inc.
 *   https://gmplib.org/
 *
 * Parts of this software are based on v8/v8:
 *   Copyright (c) 2017, The V8 Project Authors (BSD-Style License).
 *   https://github.com/v8/v8
 *
 * Resources:
 *   https://github.com/indutny/bn.js/blob/master/lib/bn.js
 *   https://github.com/indutny/miller-rabin/blob/master/lib/mr.js
 *   https://github.com/golang/go/blob/master/src/math/big/int.go
 *   https://github.com/golang/go/blob/master/src/math/big/nat.go
 *   https://github.com/golang/go/blob/master/src/math/big/prime.go
 *   https://github.com/openssl/openssl/tree/master/crypto/bn
 *   https://github.com/openssl/openssl/blob/master/crypto/bn/bn_kron.c
 *   https://github.com/gnutls/nettle/blob/master/mini-gmp.c
 *   https://github.com/v8/v8/blob/master/src/objects/bigint.cc
 */
const{custom:i}=r(109),n=["","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"],a=[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],o=[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],s={p192:null,p224:null,p521:null,k256:null,p251:null,p25519:null,p448:null},f=0,c=1,d=2,u=3,h=4,l=7,b="function"==typeof BigInt;class p{constructor(e,t,r){this.words=[0],this.length=1,this.negative=0,this.red=null,this.from(e,t,r)}_iadd(e,t){let r=0,i=0;for(e.length<t.length&&([e,t]=[t,e]),e!==this&&this._alloc(e.length);i<t.length;i++){const n=(0|e.words[i])+(0|t.words[i])+r;this.words[i]=67108863&n,r=n>>>26}for(;0!==r&&i<e.length;i++){const t=(0|e.words[i])+r;this.words[i]=67108863&t,r=t>>>26}if(this.length=e.length,0!==r)this._alloc(this.length+1),this.words[this.length++]=r;else if(e!==this)for(;i<e.length;i++)this.words[i]=e.words[i];return this}_iaddn(e){if(this.words[0]+=e,this.words[0]<67108864)return this;let t=0;for(this._alloc(this.length+1),this.words[this.length]=0;t<this.length&&this.words[t]>=67108864;t++)this.words[t]-=67108864,this.words[t+1]+=1;return this.length=Math.max(this.length,t+1),this}iadd(e){if(j(p.isBN(e),"num","bignum"),this.negative===e.negative)this._iadd(this,e);else{const t=this.ucmp(e);if(0===t)return this.words[0]=0,this.length=1,this.negative=0,this;t<0?(this._isub(e,this),this.negative^=1):this._isub(this,e)}return this}iaddn(e){j(D(e),"num","smi");const t=e<0|0;return t&&(e=-e),this.negative===t?this._iaddn(e):1===this.length&&this.words[0]<e?(this.words[0]=e-this.words[0],this.negative^=1):this._isubn(e),this}add(e){return j(p.isBN(e),"num","bignum"),e.length>this.length?e.clone().iadd(this):this.clone().iadd(e)}addn(e){return this.clone().iaddn(e)}_isub(e,t){let r=0,i=0;for(R(e.length>=t.length),e!==this&&this._alloc(e.length);i<t.length;i++){const n=(0|e.words[i])-(0|t.words[i])+r;r=n>>26,this.words[i]=67108863&n}for(;0!==r&&i<e.length;i++){const t=(0|e.words[i])+r;r=t>>26,this.words[i]=67108863&t}if(R(0===r),e!==this)for(;i<e.length;i++)this.words[i]=e.words[i];return this.length=Math.max(this.length,i),this._strip()}_isubn(e){if(this.words[0]-=e,this.words[0]>=0)return this._normalize();R(1!==this.length),this._alloc(this.length+1);for(let 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n=r.negative,a=i.negative;r.negative=0,i.negative=0;let o=null,s=null;return r.ucmp(i)<0?(t&c&&(o=new p(0)),t&d&&(s=r.clone())):1===i.length?(t&c&&(o=r.quon(i.words[0])),t&d&&(s=r.remn(i.words[0]))):[o,s]=r._wordDiv(i,t),r.negative=n,i.negative=a,t&c&&(o.negative=r.negative^i.negative,o._normalize()),t&d&&(s.negative=r.negative,s._normalize()),t&h&&(t&c&&(R(0!=(t&d)),0!==s.negative&&(0!==i.negative?o.iaddn(1):o.isubn(1))),t&d&&0!==s.negative&&(0!==i.negative?s.isub(i):s.iadd(i))),[o,s]}_wordDiv(e,t){let r,i=this.clone(),n=e,a=null;const o=0|n.words[n.length-1],s=26-U(o);0!==s?(n=n.clone(),i.iushln(s),n.iushln(s),r=0|n.words[n.length-1]):r=o;const f=i.length-n.length;if(R(f>=0),t&c){a=new p(0),a.length=f+1,a.words=new Array(a.length);for(let e=0;e<a.length;e++)a.words[e]=0}const u=i.clone();u._ishlnsubmul(n,1,f),0===u.negative&&(a&&(a.words[f]=1),i=u);for(let e=f-1;e>=0;e--){const t=(67108864*i.words[n.length+e]+i.words[n.length+e-1])/r|0;let 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this.rem(e)._move(this)}iremn(e){let t=this.remrn(e);return t<0&&(t=-t),this.words[0]=t,this.length=1,this._normalize()}rem(e){return this._div(e,d)[1]}remn(e){return this.clone().iremn(e)}remrn(e){j(D(e),"num","smi"),T(0!==e),e<0&&(e=-e);const t=(1<<26)%e;let r=0;for(let i=this.length-1;i>=0;i--)r=(t*r+(0|this.words[i]))%e;return 0!==this.negative?0|-r:r}divmod(e){return this._div(e,u|h)}idiv(e){return this.div(e)._move(this)}idivn(e){if(0===this.negative)return this.iquon(e);const t=this.remrn(e);return this.iquon(e),t<0&&(e<0?this.iaddn(1):this.isubn(1)),this}div(e){return this._div(e,u|h)[0]}divn(e){return this.clone().idivn(e)}imod(e){return this.ucmp(e)<0?(0!==this.negative&&(this._isub(e,this),this.negative=0),this):this.mod(e)._move(this)}imodn(e){return this.words[0]=this.modrn(e),this.length=1,this.negative=0,this}mod(e){return this._div(e,d|h)[1]}modn(e){return this.clone().imodn(e)}modrn(e){j(D(e),"num","smi");let t=this.remrn(e);return 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i=0;return(e=e.replace(/\s+/g,"")).length>0&&45===e.charCodeAt(0)&&(i=1),16===t?this._fromHex(e,i):this._fromBase(e,t,i),this.negative=i,this._normalize(),"le"===r&&this.reverse(),this}_fromHex(e,t){this.length=Math.max(2,Math.ceil((e.length-t)/6)),this.words=new Array(this.length);for(let e=0;e<this.length;e++)this.words[e]=0;let r=0,i=e.length-6,n=0;for(;i>=t;i-=6){const t=K(e,i,i+6);this.words[n]|=t<<r&67108863,this.words[n+1]|=t>>>26-r&4194303,r+=24,r>=26&&(r-=26,n+=1)}if(i+6!==t){const a=K(e,t,i+6);this.words[n]|=a<<r&67108863,this.words[n+1]|=a>>>26-r&4194303}return this._strip()}_fromBase(e,t,r){this.words[0]=0,this.length=1,this.negative=0;let i=0,n=1;for(;n<=67108863;n*=t)i+=1;i-=1,n=n/t|0;const a=e.length-r,o=a%i,s=Math.min(a,a-o)+r;let f=r;for(;f<s;f+=i){const r=J(e,f,f+i,t);this.imuln(n),this._iaddn(r)}if(0!==o){const r=Math.pow(t,o),i=J(e,f,e.length,t);this.imuln(r),this._iaddn(i)}return this}fromJSON(e){if(p.isBN(e))return e.red?e.fromRed():e.clone();if(Array.isArray(e)){for(const t of e)j("string"==typeof t,"chunk","string");e=e.join("")}return this.fromString(e,16)}fromBN(e){return this.inject(e)}fromArray(e,t){return j(Array.isArray(e),"data","array"),this.fromArrayLike(e,t)}fromBuffer(e,r){return j(t.isBuffer(e),"data","buffer"),this.fromArrayLike(e,r)}fromArrayLike(e,t){if(null==t&&(t="be"),j(e&&e.length>>>0===e.length,"data","array-like"),j("be"===t||"le"===t,"endian","endianness"),0===e.length)return this.words[0]=0,this.length=1,this.negative=0,this;this.length=Math.max(2,Math.ceil(e.length/3)),this.words=new Array(this.length),this.negative=0;for(let e=0;e<this.length;e++)this.words[e]=0;const r=e.length%3;let i=0,n=0,a=0;if("be"===t){for(let t=e.length-1;t>=2;t-=3){const r=e[t]|e[t-1]<<8|e[t-2]<<16;this.words[n]|=r<<i&67108863,this.words[n+1]=r>>>26-i&67108863,i+=24,i>=26&&(i-=26,n+=1)}switch(r){case 2:a=e[1]|e[0]<<8;break;case 1:a=e[0]}}else{const t=e.length-r;for(let r=0;r<t;r+=3){const t=e[r]|e[r+1]<<8|e[r+2]<<16;this.words[n]|=t<<i&67108863,this.words[n+1]=t>>>26-i&67108863,i+=24,i>=26&&(i-=26,n+=1)}switch(r){case 2:a=e[t]|e[t+1]<<8;break;case 1:a=e[t]}}return r>0&&(this.words[n]|=a<<i&67108863,this.words[n+1]=a>>>26-i&67108863),this._strip()}decode(e,t){return this.fromBuffer(e,t)}from(e,t,r){if(null==e)return this;if("le"!==t&&"be"!==t||([t,r]=[r,t]),"number"==typeof e)return this.fromNumber(e,r);if("bigint"==typeof e)return this.fromBigInt(e,r);if("string"==typeof e)return this.fromString(e,t,r);if("object"==typeof e){if(p.isBN(e))return this.fromBN(e,r);if(e.length>>>0===e.length)return this.fromArrayLike(e,r)}if("boolean"==typeof e)return this.fromBool(e);throw new TypeError("Non-numeric object passed to BN.")}static min(...e){let t=null;for(const r of e)j(p.isBN(r),"num","bignum"),(!t||r.cmp(t)<0)&&(t=r);return t||new p(0)}static max(...e){let t=null;for(const r of e)j(p.isBN(r),"num","bignum"),(!t||r.cmp(t)>0)&&(t=r);return t||new p(0)}static cmp(e,t){return j(p.isBN(e),"a","bignum"),e.cmp(t)}static ucmp(e,t){return j(p.isBN(e),"a","bignum"),e.ucmp(t)}static red(e){return new z(e)}static barrett(e){return new A(e)}static mont(e){return new I(e)}static _prime(e){if(s[e])return s[e];let t;if("p192"===e)t=new w;else if("p224"===e)t=new _;else if("p521"===e)t=new M;else if("k256"===e)t=new S;else if("p251"===e)t=new k;else if("p25519"===e)t=new E;else{if("p448"!==e)throw new Error(`Unknown prime: "${e}".`);t=new x}return s[e]=t,t}static prime(e){return p._prime(e).p.clone()}static pow(e,t){return 2===e?p.shift(1,t):(new p).fromNumber(e).pown(t)}static shift(e,t){return 1===e?new p(0).usetn(t,1):(new p).fromNumber(e).ishln(t)}static mask(e){return p.shift(1,e).isubn(1)}static randomBits(e,r){if(j(null!=e,"rng","rng"),j(r>>>0===r,"bits","uint32"),"object"==typeof e){j("function"==typeof e.randomBytes,"rng","rng");const i=r+7>>>3,n=8*i,a=e.randomBytes(i);if(j(t.isBuffer(a),"bytes","buffer"),a.length!==i)throw new RangeError("Invalid number of bytes returned from RNG.");const o=p.fromBuffer(a);return n>r&&o.iushrn(n-r),o}j("function"==typeof e,"rng","rng");const i=e(r);if(j(p.isBN(i),"num","bignum"),B(0===i.negative,"RNG"),O(!i.red,"RNG"),i.bitLength()>r)throw new RangeError("Invalid number of bits returned from RNG.");return i}static random(e,t,r){if(t=p.cast(t,16),r=p.cast(r,16),t.cmp(r)>0)throw new RangeError("Minimum cannot be greater than maximum.");const i=r.sub(t).iabs(),n=i.bitLength();if(0===n)return t.clone();for(;;){const r=p.randomBits(e,n);if(!(r.cmp(i)>=0))return r.iadd(t),r}}static of(e,t){return(new p).of(e,t)}static fromNumber(e,t){return(new p).fromNumber(e,t)}static fromDouble(e,t){return(new p).fromDouble(e,t)}static fromBigInt(e,t){return(new p).fromBigInt(e,t)}static fromBool(e){return(new p).fromBool(e)}static fromString(e,t,r){return(new p).fromString(e,t,r)}static fromJSON(e){return(new p).fromJSON(e)}static fromBN(e){return(new p).fromBN(e)}static fromArray(e,t){return(new p).fromArray(e,t)}static fromBuffer(e,t){return(new p).fromBuffer(e,t)}static fromArrayLike(e,t){return(new p).fromArrayLike(e,t)}static decode(e,t){return(new p).decode(e,t)}static from(e,t,r){return(new p).from(e,t,r)}static cast(e,t,r){return p.isBN(e)?e:new p(e,t,r)}static isBN(e){return e instanceof p}}p.BN=p,p.wordSize=26,p.native=0;class m{constructor(e,t){this.name=e,this.p=new p(t,16),this.n=this.p.bitLength(),this.k=p.shift(1,this.n).isub(this.p),this.lo=this.p.clone(),this.one=this.p.clone()}ireduce(e){const t=0!==e.negative;let r=e.bitLength();for(R(r<=2*this.n),e.negative=0;r>this.n;)this.split(e,this.lo),this.imulK(e),e._iadd(e,this.lo),r=e.bitLength();const i=r<this.n?-1:e.ucmp(this.p);return 0===i?(e.words[0]=0,e.length=1):i>0&&e._isub(e,this.p),t&&!e.isZero()&&e._isub(this.p,e),e}split(e,t){e._split(this.n,t)}imulK(e){return e.imul(this.k)}pm2(e){throw new Error("Not implemented.")}fermat(e){return this.pm2(e)}}class g extends m{constructor(e,t){super(e,t)}pm3d4(e){throw new Error("Not implemented.")}pp1d4(e){throw new Error("Not implemented.")}sqrt(e){const{red:t}=e,r=this.pp1d4(e);if(!t.sqr(r).eq(e))throw new P(r);return r}divsqrt(e,t){const{red:r}=e,i=r.sqr(e),n=r.mul(i,e),a=r.mul(n,i),o=r.mul(r.sqr(t),t),s=this.pm3d4(r.mul(a,o)),f=r.mul(r.mul(n,t),s);if(r.mul(t,r.sqr(f)).eq(e))return f;throw new P(f)}}class v extends m{constructor(e,t,r){super(e,t),this.sm1=new p(r,16)}pm5d8(e){throw new Error("Not implemented.")}pp3d8(e){throw new Error("Not implemented.")}sqrt(e){const{red:t}=e,r=this.sm1._forceRed(t),i=this.pp3d8(e);if(t.sqr(i).eq(e))return i;const n=t.mul(i,r);if(t.sqr(n).eq(e))return n;throw new P(i)}divsqrt(e,t){const{red:r}=e,i=this.sm1._forceRed(r),n=r.mul(r.sqr(t),t),a=r.mul(r.sqr(n),t),o=this.pm5d8(r.mul(e,a)),s=r.mul(r.mul(e,n),o),f=r.mul(t,r.sqr(s));if(f.eq(e))return s;const c=r.ineg(f);if(c.eq(e))return r.mul(s,i);if(c.eq(r.mul(e,i)))throw new P(r.mul(s,i));throw new P(s)}}class y extends m{constructor(e,t,r){super(e,t),this.g=new p(r,16),this.z=this.p.subn(1).zeroBits()}powS(e){throw new Error("Not implemented.")}powE(e){throw new Error("Not implemented.")}sqrt(e){const{red:t}=e;switch(t.jacobi(e)){case-1:throw new P(e);case 0:return e.clone()}let r=this.g._forceRed(t),i=this.powE(e),n=this.powS(e),a=this.z;for(;;){let e=n,o=0;for(;0!==e.cmpn(1)&&o<a;)e=t.sqr(e),o+=1;if(0===o)break;R(o<a),e=t.sqrn(r,a-o-1),r=t.sqr(e),i=t.mul(i,e),n=t.mul(n,r),a=o}return i}divsqrt(e,t){const{red:r}=e;if(t.isZero())throw new P(t);return this.sqrt(r.div(e,t))}}class w extends g{constructor(){super("p192","ffffffff ffffffff ffffffff fffffffeffffffff ffffffff")}imulK(e){const t=this.one.inject(e);return e.iushln(64)._iadd(e,t)}core(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=t.sqrnmul(r,1,e),n=t.sqrnmul(i,3,i),a=t.sqrnmul(n,6,n),o=t.sqrnmul(a,12,a),s=t.sqrnmul(o,6,n),f=t.sqrnmul(s,1,e),c=t.sqrnmul(f,31,f),d=t.sqrnmul(c,62,c),u=t.sqrnmul(d,3,i),h=t.sqrn(u,1);return t.sqrnmul(h,62,c)}pm3d4(e){return this.core(e)}pm2(e){const{red:t}=e,r=this.core(e),i=t.sqrn(r,1);return t.sqrnmul(i,1,e)}pp1d4(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=t.sqrnmul(r,2,r),n=t.sqrnmul(i,4,i),a=t.sqrnmul(n,8,n),o=t.sqrnmul(a,16,a),s=t.sqrnmul(o,32,o),f=t.sqrnmul(s,64,s);return t.sqrn(f,62)}}class _ extends y{constructor(){super("p224","ffffffff ffffffff ffffffff ffffffff00000000 00000000 00000001","6a0fec67 8598a792 0c55b2d4 0b2d6ffbbea3d8ce f3fb3632 dc691b74")}imulK(e){const t=this.one.inject(e);return e.iushln(96)._isub(e,t)}powS(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=t.sqrnmul(r,2,r),n=t.sqrnmul(i,4,i),a=t.sqrnmul(n,8,n),o=t.sqrnmul(a,16,a),s=t.sqrnmul(o,32,o);return t.sqrnmul(s,64,s)}powE(e){const{red:t}=e;return t.sqrn(e,127)}pm2(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=t.sqrnmul(r,1,e),n=t.sqrnmul(i,3,i),a=t.sqrnmul(n,6,n),o=t.sqrnmul(a,12,a),s=t.sqrnmul(o,24,o),f=t.sqrnmul(s,48,s),c=t.sqrnmul(f,24,o),d=t.sqrnmul(c,6,n),u=t.sqrnmul(d,1,e),h=t.sqrn(u,1);return t.sqrnmul(h,96,f)}}class M extends g{constructor(){super("p521","000001ff ffffffff ffffffff ffffffffffffffff ffffffff ffffffff ffffffffffffffff ffffffff ffffffff ffffffffffffffff ffffffff ffffffff ffffffffffffffff")}imulK(e){return e}core(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=t.sqrnmul(r,1,e),n=t.sqrnmul(i,3,i),a=t.sqrnmul(n,1,e),o=t.sqrnmul(a,1,e),s=t.sqrnmul(o,8,o),f=t.sqrnmul(s,16,s),c=t.sqrnmul(f,32,f),d=t.sqrnmul(c,64,c),u=t.sqrnmul(d,128,d),h=t.sqrnmul(u,256,u);return t.sqrnmul(h,7,a)}pm3d4(e){return this.core(e)}pm2(e){const{red:t}=e,r=this.core(e),i=t.sqrn(r,1);return t.sqrnmul(i,1,e)}pp1d4(e){const{red:t}=e;return t.sqrn(e,519)}}class S extends g{constructor(){super("k256","ffffffff ffffffff ffffffff ffffffffffffffff ffffffff fffffffe fffffc2f")}split(e,t){const r=Math.min(e.length,9);t._alloc(r+1);for(let i=0;i<r;i++)t.words[i]=e.words[i];if(t.length=r,e.length<=9)return t._strip(),e.words[0]=0,void(e.length=1);let i=e.words[9],n=10;for(t.words[t.length++]=4194303&i,t._strip();n<e.length;n++){const t=0|e.words[n];e.words[n-10]=(4194303&t)<<4|i>>>22,i=t}i>>>=22,e.words[n-10]=i,0===i&&e.length>10?e.length-=10:e.length-=9,e._strip()}imulK(e){e._expand(e.length+2);let t=0;for(let r=0;r<e.length;r++){const i=e.words[r];t+=977*i,e.words[r]=67108863&t,t=64*i+Math.floor(t/67108864)}return 0===e.words[e.length-1]&&(e.length-=1,0===e.words[e.length-1]&&(e.length-=1)),e}core(e,t){const{red:r}=e,i=r.sqrnmul(t,1,e),n=r.sqrnmul(i,3,i),a=r.sqrnmul(n,3,i),o=r.sqrnmul(a,2,t),s=r.sqrnmul(o,11,o),f=r.sqrnmul(s,22,s),c=r.sqrnmul(f,44,f),d=r.sqrnmul(c,88,c),u=r.sqrnmul(d,44,f),h=r.sqrnmul(u,3,i),l=r.sqrn(h,1),b=r.sqrnmul(l,22,s);return r.sqrn(b,4)}pm3d4(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrnmul(i,1,e),a=t.sqrn(n,1);return t.sqrnmul(a,2,r)}pm2(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrnmul(i,1,e),a=t.sqrn(n,1),o=t.sqrnmul(a,2,r),s=t.sqrn(o,1);return t.sqrnmul(s,1,e)}pp1d4(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrnmul(i,2,r);return t.sqrn(n,2)}}class k extends g{constructor(){super("p251","07ffffff ffffffff ffffffff ffffffffffffffff ffffffff ffffffff fffffff7")}imulK(e){if(e.isZero())return e;let t=0;for(let r=0;r<e.length;r++){const i=9*e.words[r]+t;t=i>>>26,e.words[r]=67108863&i}return 0!==t&&(e._alloc(e.length+1),e.words[e.length++]=t),e}core(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=t.sqrnmul(r,1,e),n=t.sqrnmul(i,3,i),a=t.sqrnmul(n,6,n),o=t.sqrnmul(a,12,a),s=t.sqrnmul(o,24,o),f=t.sqrnmul(s,48,s),c=t.sqrnmul(f,96,f),d=t.sqrnmul(c,48,s),u=t.sqrnmul(d,6,n);return t.sqrnmul(u,1,e)}pm3d4(e){const{red:t}=e,r=this.core(e),i=t.sqrn(r,1);return t.sqrnmul(i,1,e)}pm2(e){const{red:t}=e,r=this.core(e),i=t.sqrn(r,1),n=t.sqrnmul(i,1,e),a=t.sqrn(n,1);return t.sqrnmul(a,1,e)}pp1d4(e){const{red:t}=e,r=this.core(e),i=t.sqrnmul(r,1,e);return t.sqrn(i,1)}}class E extends v{constructor(){super("p25519","7fffffff ffffffff ffffffff ffffffffffffffff ffffffff ffffffff ffffffed","2b832480 4fc1df0b 2b4d0099 3dfbd7a72f431806 ad2fe478 c4ee1b27 4a0ea0b0")}imulK(e){let t=0;for(let r=0;r<e.length;r++){const i=19*e.words[r]+t;t=i>>>26,e.words[r]=67108863&i}return 0!==t&&(e._alloc(e.length+1),e.words[e.length++]=t),e}core(e,t){const{red:r}=e,i=r.sqrnmul(t,2,t),n=r.sqrnmul(i,1,e),a=r.sqrnmul(n,5,n),o=r.sqrnmul(a,10,a),s=r.sqrnmul(o,20,o),f=r.sqrnmul(s,10,a),c=r.sqrnmul(f,50,f),d=r.sqrnmul(c,100,c);return r.sqrnmul(d,50,f)}pm5d8(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrn(i,1);return t.sqrnmul(n,1,e)}pm2(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrn(i,1),a=t.sqrnmul(n,1,e),o=t.sqrn(a,1);return t.sqrnmul(o,2,r)}pp3d8(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrnmul(i,1,e);return t.sqrn(n,1)}}class x extends g{constructor(){super("p448","ffffffff ffffffff ffffffff ffffffffffffffff ffffffff fffffffe ffffffffffffffff ffffffff ffffffff ffffffffffffffff ffffffff")}imulK(e){const t=this.one.inject(e);return e.iushln(224)._iadd(e,t)}core(e,t){const{red:r}=e,i=r.sqrnmul(t,1,e),n=r.sqrnmul(i,3,i),a=r.sqrnmul(n,3,i),o=r.sqrnmul(a,2,t),s=r.sqrnmul(o,11,o),f=r.sqrnmul(s,22,s),c=r.sqrnmul(f,44,f),d=r.sqrnmul(c,88,c),u=r.sqrnmul(d,44,f);return r.sqrnmul(u,2,t)}pm3d4(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrnmul(i,1,e),a=t.sqrn(n,1);return t.sqrnmul(a,222,i)}pm2(e){const{red:t}=e,r=this.pm3d4(e),i=t.sqrn(r,1);return t.sqrnmul(i,1,e)}pp1d4(e){const{red:t}=e,r=t.sqrnmul(e,1,e),i=this.core(e,r),n=t.sqrnmul(i,2,r);return t.sqrn(n,222)}}class z{constructor(e){let t=null;"string"==typeof e&&(t=p._prime(e),e=t.p),j(p.isBN(e),"m","bignum"),O(!e.red,"reduction"),B(e.sign()>0,"reduction"),this.m=e,this.prime=t,this.mb=null,this.sm1=null}_verify1(e){B(0===e.negative,"red"),N(null!=e.red,"red")}_verify2(e,t){B(0==(e.negative|t.negative),"red"),N(null!=e.red&&e.red===t.red,"red")}get mont(){return!1}precompute(){if(null===this.sm1&&5===this.m.andln(7))if(this.prime)this.sm1=this.prime.sm1.clone()._forceRed(this);else{const e=new p(2).toRed(this),t=this.m.subn(1).iushrn(2);this.sm1=this.pow(e,t)}return this}convertTo(e){const t=e.mod(this.m);return t.red=this,t}convertFrom(e){const t=e.clone();return t.red=null,t}intTo(e){return e}intFrom(e){return e}imod(e){return this.prime?this.prime.ireduce(e)._forceRed(this):e.imod(this.m)._forceRed(this)}iadd(e,t){return this._verify2(e,t),e._iadd(e,t),e.ucmp(this.m)>=0&&e._isub(e,this.m),e}add(e,t){return e.length<t.length?this.iadd(t.clone(),e):this.iadd(e.clone(),t)}iaddn(e,t){return this._verify1(e),t<0?this.isubn(e,-t):(1===this.m.length&&(t%=this.m.words[0]),e._iaddn(t),e.ucmp(this.m)>=0&&e._isub(e,this.m),e)}addn(e,t){return this.iaddn(e.clone(),t)}isub(e,t){this._verify2(e,t);const r=e.ucmp(t);return 0===r?(e.words[0]=0,e.length=1,e):(r<0?(e._isub(t,e),e._isub(this.m,e)):e._isub(e,t),e)}sub(e,t){return this.isub(e.clone(),t)}isubn(e,t){return this._verify1(e),t<0?this.iaddn(e,-t):(1===this.m.length&&(t%=this.m.words[0]),1===e.length&&e.words[0]<t?(e.words[0]=t-e.words[0],e._isub(this.m,e)):e._isubn(t),e)}subn(e,t){return this.isubn(e.clone(),t)}imul(e,t){return this._verify2(e,t),this.imod(e.imul(t))}mul(e,t){return this._verify2(e,t),this.imod(e.mul(t))}imuln(e,t){if(this._verify1(e),e.isZero())return e;if(0===t)return e.words[0]=0,e.length=1,e;const r=t<0;if(r&&(t=-t),1===this.m.length&&(t%=this.m.words[0]),e.imuln(t),t<=16)for(;e.ucmp(this.m)>=0;)e._isub(e,this.m);else this.imod(e);return r&&this.ineg(e),e}muln(e,t){return this.imuln(e.clone(),t)}idiv(e,t){return this.div(e,t)._move(e)}div(e,t){return this.mul(e,this.invert(t))}idivn(e,t){return this.divn(e,t)._move(e)}divn(e,t){return this.div(e,this.convertTo(new p(t)))}ipow(e,t){return this.pow(e,t)._move(e)}pow(e,t){return this._verify1(e),t.isNeg()&&(e=this.invert(e)),1===t.length?this.pown(e,t.words[0]):b&&!this.prime?this.powInt(e,t):this.powNum(e,t)}powNum(e,t){const r=new p(1).toRed(this),i=new Array(8),n=this.sqr(e);i[0]=e;for(let e=1;e<8;e++)i[e]=this.mul(i[e-1],n);let a=t.bitLength(),o=r;for(;a>=4;){let e=4,n=t.bits(a-e,e);if(n<8)o=this.sqr(o),a-=1;else{for(;0==(1&n);)e-=1,n>>=1;o===r?o=i[n>>1].clone():(o=this.sqrn(o,e),o=this.mul(o,i[n>>1])),a-=e}}if(a>0){const r=t.bits(0,a);for(;a--;)o=this.sqr(o),r>>a&1&&(o=this.mul(o,e))}return o}powInt(e,t){null===this.mb&&(this.mb=this.m.toBigInt());const r=function(e,t,r){const i=BigInt(1),n=new Array(8),a=e*e%r;n[0]=e;for(let e=1;e<8;e++)n[e]=n[e-1]*a%r;let o=t.bitLength(),s=i;for(;o>=4;){let e=4,a=t.bits(o-e,e);if(a<8)s=s*s%r,o-=1;else{for(;0==(1&a);)e-=1,a>>=1;s===i?s=n[a>>1]:(s=Z(s,e,r),s=s*n[a>>1]%r),o-=e}}if(o>0){const i=t.bits(0,o);for(;o--;)s=s*s%r,i>>o&1&&(s=s*e%r)}return s}(this.intFrom(e.toBigInt()),t,this.mb),i=this.intTo(r);return p.fromBigInt(i)._forceRed(this)}sqrn(e,t){for(;t--;)e=this.sqr(e);return e}sqrnmul(e,t,r){return this.mul(this.sqrn(e,t),r)}ipown(e,t){return this.pown(e,t)._move(e)}pown(e,t){if(this._verify1(e),t<0&&(e=this.invert(e),t=-t),0===t)return new p(1).toRed(this);if(1===t)return e.clone();let r=e;for(let i=U(t)-2;i>=0;i--)r=this.sqr(r),t>>i&1&&(r=this.mul(r,e));return r}isqr(e){return this.imul(e,e)}sqr(e){return this.mul(e,e)}isqrt(e){return this.sqrt(e)._move(e)}sqrt(e){return this._verify1(e),this.prime?this.prime.sqrt(e):3===this.m.andln(3)?this.sqrt3mod4(e):5===this.m.andln(7)?null!=this.sm1?this.sqrt5mod8sm1(e):this.sqrt5mod8(e):this.sqrt0(e)}sqrt3mod4(e){const t=this.m.addn(1).iushrn(2),r=this.pow(e,t);if(!this.sqr(r).eq(e))throw new P(r);return r}sqrt5mod8(e){const t=new p(1).toRed(this),r=this.m.ushrn(3),i=this.add(e,e),n=this.pow(i,r),a=this.mul(i,this.sqr(n)),o=this.mul(this.mul(n,e),this.isub(a,t));if(!this.sqr(o).eq(e))throw new P(o);return o}sqrt5mod8sm1(e){const t=this.m.addn(3).iushrn(3),r=this.pow(e,t);if(this.sqr(r).eq(e))return r;const i=this.mul(r,this.sm1);if(this.sqr(i).eq(e))return i;throw new P(r)}sqrt0(e){if(0===this.m.cmpn(1)||!this.m.isOdd())throw new Error("Invalid prime.");switch(this.jacobi(e)){case-1:throw new P(e);case 0:return e.clone()}const t=new p(1).toRed(this),r=this.m.subn(1),i=r._makeOdd(),n=new p(2).toRed(this);for(;-1!==this.jacobi(n);)this.iadd(n,t);let a=this.pow(n,r),o=this.pow(e,r),s=this.pow(e,r.iaddn(1).iushrn(1)),f=i;for(;;){let e=o,r=0;for(;!e.eq(t)&&r<f;)e=this.sqr(e),r+=1;if(0===r)break;R(r<f),e=this.sqrn(a,f-r-1),a=this.sqr(e),s=this.mul(s,e),o=this.mul(o,a),f=r}return s}idivsqrt(e,t){return this.divsqrt(e,t)._move(e)}divsqrt(e,t){if(this._verify2(e,t),e.isZero()&&t.isZero())throw new P(t);if(this.prime)return this.prime.divsqrt(e,t);if(3===this.m.andln(3))return this.divsqrt3mod4(e,t);if(null!=this.sm1&&5===this.m.andln(7))return this.divsqrt5mod8(e,t);if(t.isZero())throw new P(t);return this.sqrt(this.div(e,t))}divsqrt3mod4(e,t){const r=this.m.subn(3).iushrn(2),i=this.sqr(e),n=this.mul(i,e),a=this.mul(n,i),o=this.mul(this.sqr(t),t),s=this.pow(this.mul(a,o),r),f=this.mul(this.mul(n,t),s);if(this.mul(t,this.sqr(f)).eq(e))return f;throw new P(f)}divsqrt5mod8(e,t){const r=this.m.subn(5).iushrn(3),i=this.mul(this.sqr(t),t),n=this.mul(this.sqr(i),t),a=this.pow(this.mul(e,n),r),o=this.mul(this.mul(e,i),a),s=this.mul(t,this.sqr(o));if(s.eq(e))return o;const f=this.ineg(s);if(f.eq(e))return this.mul(o,this.sm1);if(f.eq(this.mul(e,this.sm1)))throw new P(this.mul(o,this.sm1));throw new P(o)}isSquare(e){return this.m.isOdd()?this.jacobi(e)>=0:this.kronecker(e)>=0}ishl(e,t){return this._verify1(e),this.imod(e.iushl(t))}shl(e,t){return this.ishl(e.clone(),t)}ishln(e,t){if(this._verify1(e),e.iushln(t),t<=4)for(;e.ucmp(this.m)>=0;)e._isub(e,this.m);else this.imod(e);return e}shln(e,t){return this.ishln(e.clone(),t)}ineg(e){return this._verify1(e),e.isZero()||e._isub(this.m,e),e}neg(e){return this.ineg(e.clone())}eq(e,t){return this._verify2(e,t),0===e.ucmp(t)}eqn(e,t){if(this._verify1(e),1===this.m.length)return(t%=this.m.words[0])<0&&(t+=this.m.words[0]),0===e.ucmpn(t);if(t<0){this.m._isubn(-t);const r=e.ucmp(this.m);return this.m._iaddn(-t),0===r}return 0===e.ucmpn(t)}isHigh(e){return!this.isLow(e)}isLow(e){return this._verify1(e),e.ucmp(this.m.ushrn(1))<=0}isOdd(e){return this._verify1(e),e.isOdd()}isEven(e){return this._verify1(e),e.isEven()}legendre(e){if(this._verify1(e),this.m.isEven())throw new Error("legendre: `num` must be odd.");const t=this.m.subn(1).iushrn(1),r=this.pow(e,t);if(r.isZero())return 0;const i=new p(1).toRed(this);if(r.eq(i))return 1;if(r.eq(this.ineg(i)))return-1;throw new Error("Invalid prime.")}jacobi(e){return this._verify1(e),e.jacobi(this.m)}kronecker(e){return this._verify1(e),e.kronecker(this.m)}iinvert(e){return this.invert(e)._move(e)}invert(e){return this._verify1(e),e.invert(this.m)._forceRed(this)}ifermat(e){return this.fermat(e)._move(e)}fermat(e){if(this._verify1(e),e.isZero()||0===this.m.cmpn(1))throw new RangeError("Not invertible.");return this.prime?this.prime.fermat(e):this.pow(e,this.m.subn(2))}invertAll(e){j(Array.isArray(e),"elems","array");for(const t of e)j(p.isBN(t),"elem","bignum"),this._verify1(t);if(0===this.m.cmpn(1)||this.m.isEven())throw new RangeError("Not invertible.");const t=e.length,r=new Array(t);if(0===t)return r;let i=new p(1).toRed(this);for(let n=0;n<t;n++)e[n].isZero()?r[n]=e[n].clone():(r[n]=i,i=this.mul(i,e[n]));i=this.invert(i);for(let n=t-1;n>=0;n--)e[n].isZero()||(r[n]=this.mul(i,r[n]),i=this.mul(i,e[n]));return r}[i](){return this.prime?`<Red: ${this.prime.name}>`:`<Red: ${this.m.toString(10)}>`}}class A extends z{constructor(e){super(e),this.prime=null,this.n=this.m.bitLength(),this.n%26!=0&&(this.n+=26-this.n%26),this.k=2*this.n,this.w=this.k/26,this.b=p.shift(1,this.k).div(this.m)}convertTo(e){return e.length>this.w?super.convertTo(e):this.imod(e.clone())}_shift(e){let t=0,r=this.w;for(;r<e.length;)e.words[t++]=e.words[r++];0===t&&(e.words[t++]=0),e.length=t}imod(e){const t=e.negative;R(e.length<=this.w),e.negative=0;const r=e.mul(this.b);return this._shift(r),e._isub(e,r.mul(this.m)),e.ucmp(this.m)>=0&&e._isub(e,this.m),t&&!e.isZero()&&e._isub(this.m,e),e.red=this,e}}class I extends z{constructor(e){super(e),this.prime=null,this.n=26*this.m.length,this.r=p.shift(1,this.n),this.r2=p.shift(1,2*this.n).imod(this.m),this.ri=this.r.invert(this.m),this.mi=this.r.mul(this.ri).isubn(1).div(this.m),this.rib=null}get mont(){return!0}convertTo(e){return e.isNeg()||e.ucmp(this.m)>=0?this.imod(e.ushln(this.n)):this.mul(e,this.r2)}convertFrom(e){const t=this.mul(e,new p(1));return t.red=null,t}intTo(e){return(e<<BigInt(this.n))%this.mb}intFrom(e){return null===this.rib&&(this.rib=this.ri.toBigInt()),e*this.rib%this.mb}iaddn(e,t){return this.iadd(e,this.convertTo(new p(t)))}isubn(e,t){return this.isub(e,this.convertTo(new p(t)))}imul(e,t){return this.mul(e,t)._move(e)}mul(e,t){if(e.isZero()||t.isZero())return new p(0)._forceRed(this);const r=e.mul(t),i=r.umaskn(this.n).mul(this.mi).iumaskn(this.n),n=r.iadd(i.mul(this.m)).iushrn(this.n);return n.ucmp(this.m)>=0&&n._isub(n,this.m),n._forceRed(this)}imuln(e,t){if(this._verify1(e),e.isZero())return e;if(0===t)return e.words[0]=0,e.length=1,e;const r=t<0;r&&(t=-t),1===this.m.length&&(t%=this.m.words[0]);const i=U(t);if(i>5)this.imul(e,this.convertTo(new p(t)));else if(0==(t&t-1))for(let t=0;t<i-1;t++)this.iadd(e,e);else{const r=e.clone();for(let n=i-2;n>=0;n--)this.iadd(e,e),t>>n&1&&this.iadd(e,r)}return r&&this.ineg(e),e}eqn(e,t){return this._verify1(e),0===t?e.isZero():0===e.ucmp(this.convertTo(new p(t)))}isLow(e){return this._verify1(e),this.convertFrom(e).ucmp(this.m.ushrn(1))<=0}isOdd(e){return this._verify1(e),this.convertFrom(e).isOdd()}isEven(e){return this._verify1(e),this.convertFrom(e).isEven()}invert(e){return this._verify1(e),this.imod(e.invert(this.m).mul(this.r2))}}function q(e,t,r){const i=new e(t);return e.captureStackTrace&&e.captureStackTrace(i,r),i}function R(e,t){if(!e){throw q(Error,t||"Assertion failed.",R)}}function j(e,t,r){if(!e){throw q(TypeError,`"${t}" must be a(n) ${r}.`,j)}}function B(e,t){if(!e){throw q(RangeError,`"${t}" only works with positive numbers.`,B)}}function N(e,t){if(!e){throw q(TypeError,`"${t}" only works with red numbers.`,N)}}function O(e,t){if(!e){throw q(TypeError,`"${t}" only works with normal numbers.`,O)}}function T(e){if(!e){throw q(RangeError,"Cannot divide by zero.",T)}}class P extends Error{constructor(e){super(),this.name="SquareRootError",this.message="X is not a square mod P.",this.result=e.fromRed(),Error.captureStackTrace&&Error.captureStackTrace(this,P)}}function L(e){return Number.isSafeInteger(e)}function D(e){return L(e)&&e>=-67108863&&e<=67108863}function C(e){if(null==e)return 10;if("number"==typeof e)return e;switch(e){case"bin":return 2;case"oct":return 8;case"dec":return 10;case"hex":return 16}return 0}function U(e){if(Math.clz32)return 32-Math.clz32(e);let t=e,r=0;return t>=4096&&(r+=13,t>>>=13),t>=64&&(r+=7,t>>>=7),t>=8&&(r+=4,t>>>=4),t>=2&&(r+=2,t>>>=2),r+t}function F(e){if(0===e)return 26;let t=e,r=0;return 0==(8191&t)&&(r+=13,t>>>=13),0==(127&t)&&(r+=7,t>>>=7),0==(15&t)&&(r+=4,t>>>=4),0==(3&t)&&(r+=2,t>>>=2),0==(1&t)&&(r+=1),r}function K(e,t,r){const i=Math.min(e.length,r);let n=0,a=0;for(let r=t;r<i;r++){const t=e.charCodeAt(r)-48;let i;n<<=4,i=t>=49&&t<=54?t-49+10:t>=17&&t<=22?t-17+10:t,n|=i,a|=i}if(-16&a)throw new Error("Invalid string.");return n}function J(e,t,r,i){const n=Math.min(e.length,r);let a=0;for(let r=t;r<n;r++){const t=e.charCodeAt(r)-48;let n;if(a*=i,n=t>=49?t-49+10:t>=17?t-17+10:t,t<0||t>207||n>=i)throw new Error("Invalid string.");a+=n}return a}function Z(e,t,r){for(let i=0;i<t;i++)e=e*e%r;return e}function H(e,t,r){const i=e.length+t.length;r.negative=e.negative^t.negative,r._alloc(i),r.length=i;const n=e.words[0]*t.words[0],a=67108863&n;let o=n/67108864|0,s=1;for(r.words[0]=a;s<r.length-1;s++){let i=o>>>26,n=67108863&o;const a=Math.max(0,s-e.length+1),f=Math.min(s,t.length-1);for(let r=a;r<=f;r++){const a=s-r,o=e.words[a]*t.words[r]+n;i+=o/67108864|0,n=67108863&o}r.words[s]=0|n,o=0|i}return 0!==o?r.words[s]=0|o:r.length-=1,r._strip()}function W(e,t,r){const i=e.length+t.length;r.negative=e.negative^t.negative,r._alloc(i),r.length=i;let n=0,a=0,o=0;for(;o<r.length-1;o++){let i=a;a=0;let s=67108863&n;const f=Math.max(0,o-e.length+1),c=Math.min(o,t.length-1);for(let r=f;r<=c;r++){const n=o-r,f=e.words[n]*t.words[r];let c=67108863&f;i=i+(f/67108864|0)|0,c=c+s|0,s=67108863&c,i=i+(c>>>26)|0,a+=i>>>26,i&=67108863}r.words[o]=s,n=i,i=a}return 0!==n?r.words[o]=n:r.length-=1,r._strip()}function X(e,t,r){const i=e.words,n=t.words,a=r.words,o=0|i[0],s=8191&o,f=o>>>13,c=0|i[1],d=8191&c,u=c>>>13,h=0|i[2],l=8191&h,b=h>>>13,p=0|i[3],m=8191&p,g=p>>>13,v=0|i[4],y=8191&v,w=v>>>13,_=0|i[5],M=8191&_,S=_>>>13,k=0|i[6],E=8191&k,x=k>>>13,z=0|i[7],A=8191&z,I=z>>>13,q=0|i[8],R=8191&q,j=q>>>13,B=0|i[9],N=8191&B,O=B>>>13,T=0|n[0],P=8191&T,L=T>>>13,D=0|n[1],C=8191&D,U=D>>>13,F=0|n[2],K=8191&F,J=F>>>13,Z=0|n[3],H=8191&Z,W=Z>>>13,X=0|n[4],Y=8191&X,V=X>>>13,G=0|n[5],$=8191&G,Q=G>>>13,ee=0|n[6],te=8191&ee,re=ee>>>13,ie=0|n[7],ne=8191&ie,ae=ie>>>13,oe=0|n[8],se=8191&oe,fe=oe>>>13,ce=0|n[9],de=8191&ce,ue=ce>>>13;let he,le,be,pe=0;r.negative=e.negative^t.negative,r._alloc(20),r.length=19,he=Math.imul(s,P),le=Math.imul(s,L),le=le+Math.imul(f,P)|0,be=Math.imul(f,L);let me=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(me>>>26)|0,me&=67108863,he=Math.imul(d,P),le=Math.imul(d,L),le=le+Math.imul(u,P)|0,be=Math.imul(u,L),he=he+Math.imul(s,C)|0,le=le+Math.imul(s,U)|0,le=le+Math.imul(f,C)|0,be=be+Math.imul(f,U)|0;let ge=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(ge>>>26)|0,ge&=67108863,he=Math.imul(l,P),le=Math.imul(l,L),le=le+Math.imul(b,P)|0,be=Math.imul(b,L),he=he+Math.imul(d,C)|0,le=le+Math.imul(d,U)|0,le=le+Math.imul(u,C)|0,be=be+Math.imul(u,U)|0,he=he+Math.imul(s,K)|0,le=le+Math.imul(s,J)|0,le=le+Math.imul(f,K)|0,be=be+Math.imul(f,J)|0;let ve=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(ve>>>26)|0,ve&=67108863,he=Math.imul(m,P),le=Math.imul(m,L),le=le+Math.imul(g,P)|0,be=Math.imul(g,L),he=he+Math.imul(l,C)|0,le=le+Math.imul(l,U)|0,le=le+Math.imul(b,C)|0,be=be+Math.imul(b,U)|0,he=he+Math.imul(d,K)|0,le=le+Math.imul(d,J)|0,le=le+Math.imul(u,K)|0,be=be+Math.imul(u,J)|0,he=he+Math.imul(s,H)|0,le=le+Math.imul(s,W)|0,le=le+Math.imul(f,H)|0,be=be+Math.imul(f,W)|0;let ye=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(ye>>>26)|0,ye&=67108863,he=Math.imul(y,P),le=Math.imul(y,L),le=le+Math.imul(w,P)|0,be=Math.imul(w,L),he=he+Math.imul(m,C)|0,le=le+Math.imul(m,U)|0,le=le+Math.imul(g,C)|0,be=be+Math.imul(g,U)|0,he=he+Math.imul(l,K)|0,le=le+Math.imul(l,J)|0,le=le+Math.imul(b,K)|0,be=be+Math.imul(b,J)|0,he=he+Math.imul(d,H)|0,le=le+Math.imul(d,W)|0,le=le+Math.imul(u,H)|0,be=be+Math.imul(u,W)|0,he=he+Math.imul(s,Y)|0,le=le+Math.imul(s,V)|0,le=le+Math.imul(f,Y)|0,be=be+Math.imul(f,V)|0;let we=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(we>>>26)|0,we&=67108863,he=Math.imul(M,P),le=Math.imul(M,L),le=le+Math.imul(S,P)|0,be=Math.imul(S,L),he=he+Math.imul(y,C)|0,le=le+Math.imul(y,U)|0,le=le+Math.imul(w,C)|0,be=be+Math.imul(w,U)|0,he=he+Math.imul(m,K)|0,le=le+Math.imul(m,J)|0,le=le+Math.imul(g,K)|0,be=be+Math.imul(g,J)|0,he=he+Math.imul(l,H)|0,le=le+Math.imul(l,W)|0,le=le+Math.imul(b,H)|0,be=be+Math.imul(b,W)|0,he=he+Math.imul(d,Y)|0,le=le+Math.imul(d,V)|0,le=le+Math.imul(u,Y)|0,be=be+Math.imul(u,V)|0,he=he+Math.imul(s,$)|0,le=le+Math.imul(s,Q)|0,le=le+Math.imul(f,$)|0,be=be+Math.imul(f,Q)|0;let _e=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(_e>>>26)|0,_e&=67108863,he=Math.imul(E,P),le=Math.imul(E,L),le=le+Math.imul(x,P)|0,be=Math.imul(x,L),he=he+Math.imul(M,C)|0,le=le+Math.imul(M,U)|0,le=le+Math.imul(S,C)|0,be=be+Math.imul(S,U)|0,he=he+Math.imul(y,K)|0,le=le+Math.imul(y,J)|0,le=le+Math.imul(w,K)|0,be=be+Math.imul(w,J)|0,he=he+Math.imul(m,H)|0,le=le+Math.imul(m,W)|0,le=le+Math.imul(g,H)|0,be=be+Math.imul(g,W)|0,he=he+Math.imul(l,Y)|0,le=le+Math.imul(l,V)|0,le=le+Math.imul(b,Y)|0,be=be+Math.imul(b,V)|0,he=he+Math.imul(d,$)|0,le=le+Math.imul(d,Q)|0,le=le+Math.imul(u,$)|0,be=be+Math.imul(u,Q)|0,he=he+Math.imul(s,te)|0,le=le+Math.imul(s,re)|0,le=le+Math.imul(f,te)|0,be=be+Math.imul(f,re)|0;let Me=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Me>>>26)|0,Me&=67108863,he=Math.imul(A,P),le=Math.imul(A,L),le=le+Math.imul(I,P)|0,be=Math.imul(I,L),he=he+Math.imul(E,C)|0,le=le+Math.imul(E,U)|0,le=le+Math.imul(x,C)|0,be=be+Math.imul(x,U)|0,he=he+Math.imul(M,K)|0,le=le+Math.imul(M,J)|0,le=le+Math.imul(S,K)|0,be=be+Math.imul(S,J)|0,he=he+Math.imul(y,H)|0,le=le+Math.imul(y,W)|0,le=le+Math.imul(w,H)|0,be=be+Math.imul(w,W)|0,he=he+Math.imul(m,Y)|0,le=le+Math.imul(m,V)|0,le=le+Math.imul(g,Y)|0,be=be+Math.imul(g,V)|0,he=he+Math.imul(l,$)|0,le=le+Math.imul(l,Q)|0,le=le+Math.imul(b,$)|0,be=be+Math.imul(b,Q)|0,he=he+Math.imul(d,te)|0,le=le+Math.imul(d,re)|0,le=le+Math.imul(u,te)|0,be=be+Math.imul(u,re)|0,he=he+Math.imul(s,ne)|0,le=le+Math.imul(s,ae)|0,le=le+Math.imul(f,ne)|0,be=be+Math.imul(f,ae)|0;let Se=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Se>>>26)|0,Se&=67108863,he=Math.imul(R,P),le=Math.imul(R,L),le=le+Math.imul(j,P)|0,be=Math.imul(j,L),he=he+Math.imul(A,C)|0,le=le+Math.imul(A,U)|0,le=le+Math.imul(I,C)|0,be=be+Math.imul(I,U)|0,he=he+Math.imul(E,K)|0,le=le+Math.imul(E,J)|0,le=le+Math.imul(x,K)|0,be=be+Math.imul(x,J)|0,he=he+Math.imul(M,H)|0,le=le+Math.imul(M,W)|0,le=le+Math.imul(S,H)|0,be=be+Math.imul(S,W)|0,he=he+Math.imul(y,Y)|0,le=le+Math.imul(y,V)|0,le=le+Math.imul(w,Y)|0,be=be+Math.imul(w,V)|0,he=he+Math.imul(m,$)|0,le=le+Math.imul(m,Q)|0,le=le+Math.imul(g,$)|0,be=be+Math.imul(g,Q)|0,he=he+Math.imul(l,te)|0,le=le+Math.imul(l,re)|0,le=le+Math.imul(b,te)|0,be=be+Math.imul(b,re)|0,he=he+Math.imul(d,ne)|0,le=le+Math.imul(d,ae)|0,le=le+Math.imul(u,ne)|0,be=be+Math.imul(u,ae)|0,he=he+Math.imul(s,se)|0,le=le+Math.imul(s,fe)|0,le=le+Math.imul(f,se)|0,be=be+Math.imul(f,fe)|0;let ke=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(ke>>>26)|0,ke&=67108863,he=Math.imul(N,P),le=Math.imul(N,L),le=le+Math.imul(O,P)|0,be=Math.imul(O,L),he=he+Math.imul(R,C)|0,le=le+Math.imul(R,U)|0,le=le+Math.imul(j,C)|0,be=be+Math.imul(j,U)|0,he=he+Math.imul(A,K)|0,le=le+Math.imul(A,J)|0,le=le+Math.imul(I,K)|0,be=be+Math.imul(I,J)|0,he=he+Math.imul(E,H)|0,le=le+Math.imul(E,W)|0,le=le+Math.imul(x,H)|0,be=be+Math.imul(x,W)|0,he=he+Math.imul(M,Y)|0,le=le+Math.imul(M,V)|0,le=le+Math.imul(S,Y)|0,be=be+Math.imul(S,V)|0,he=he+Math.imul(y,$)|0,le=le+Math.imul(y,Q)|0,le=le+Math.imul(w,$)|0,be=be+Math.imul(w,Q)|0,he=he+Math.imul(m,te)|0,le=le+Math.imul(m,re)|0,le=le+Math.imul(g,te)|0,be=be+Math.imul(g,re)|0,he=he+Math.imul(l,ne)|0,le=le+Math.imul(l,ae)|0,le=le+Math.imul(b,ne)|0,be=be+Math.imul(b,ae)|0,he=he+Math.imul(d,se)|0,le=le+Math.imul(d,fe)|0,le=le+Math.imul(u,se)|0,be=be+Math.imul(u,fe)|0,he=he+Math.imul(s,de)|0,le=le+Math.imul(s,ue)|0,le=le+Math.imul(f,de)|0,be=be+Math.imul(f,ue)|0;let Ee=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,he=Math.imul(N,C),le=Math.imul(N,U),le=le+Math.imul(O,C)|0,be=Math.imul(O,U),he=he+Math.imul(R,K)|0,le=le+Math.imul(R,J)|0,le=le+Math.imul(j,K)|0,be=be+Math.imul(j,J)|0,he=he+Math.imul(A,H)|0,le=le+Math.imul(A,W)|0,le=le+Math.imul(I,H)|0,be=be+Math.imul(I,W)|0,he=he+Math.imul(E,Y)|0,le=le+Math.imul(E,V)|0,le=le+Math.imul(x,Y)|0,be=be+Math.imul(x,V)|0,he=he+Math.imul(M,$)|0,le=le+Math.imul(M,Q)|0,le=le+Math.imul(S,$)|0,be=be+Math.imul(S,Q)|0,he=he+Math.imul(y,te)|0,le=le+Math.imul(y,re)|0,le=le+Math.imul(w,te)|0,be=be+Math.imul(w,re)|0,he=he+Math.imul(m,ne)|0,le=le+Math.imul(m,ae)|0,le=le+Math.imul(g,ne)|0,be=be+Math.imul(g,ae)|0,he=he+Math.imul(l,se)|0,le=le+Math.imul(l,fe)|0,le=le+Math.imul(b,se)|0,be=be+Math.imul(b,fe)|0,he=he+Math.imul(d,de)|0,le=le+Math.imul(d,ue)|0,le=le+Math.imul(u,de)|0,be=be+Math.imul(u,ue)|0;let xe=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(xe>>>26)|0,xe&=67108863,he=Math.imul(N,K),le=Math.imul(N,J),le=le+Math.imul(O,K)|0,be=Math.imul(O,J),he=he+Math.imul(R,H)|0,le=le+Math.imul(R,W)|0,le=le+Math.imul(j,H)|0,be=be+Math.imul(j,W)|0,he=he+Math.imul(A,Y)|0,le=le+Math.imul(A,V)|0,le=le+Math.imul(I,Y)|0,be=be+Math.imul(I,V)|0,he=he+Math.imul(E,$)|0,le=le+Math.imul(E,Q)|0,le=le+Math.imul(x,$)|0,be=be+Math.imul(x,Q)|0,he=he+Math.imul(M,te)|0,le=le+Math.imul(M,re)|0,le=le+Math.imul(S,te)|0,be=be+Math.imul(S,re)|0,he=he+Math.imul(y,ne)|0,le=le+Math.imul(y,ae)|0,le=le+Math.imul(w,ne)|0,be=be+Math.imul(w,ae)|0,he=he+Math.imul(m,se)|0,le=le+Math.imul(m,fe)|0,le=le+Math.imul(g,se)|0,be=be+Math.imul(g,fe)|0,he=he+Math.imul(l,de)|0,le=le+Math.imul(l,ue)|0,le=le+Math.imul(b,de)|0,be=be+Math.imul(b,ue)|0;let ze=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(ze>>>26)|0,ze&=67108863,he=Math.imul(N,H),le=Math.imul(N,W),le=le+Math.imul(O,H)|0,be=Math.imul(O,W),he=he+Math.imul(R,Y)|0,le=le+Math.imul(R,V)|0,le=le+Math.imul(j,Y)|0,be=be+Math.imul(j,V)|0,he=he+Math.imul(A,$)|0,le=le+Math.imul(A,Q)|0,le=le+Math.imul(I,$)|0,be=be+Math.imul(I,Q)|0,he=he+Math.imul(E,te)|0,le=le+Math.imul(E,re)|0,le=le+Math.imul(x,te)|0,be=be+Math.imul(x,re)|0,he=he+Math.imul(M,ne)|0,le=le+Math.imul(M,ae)|0,le=le+Math.imul(S,ne)|0,be=be+Math.imul(S,ae)|0,he=he+Math.imul(y,se)|0,le=le+Math.imul(y,fe)|0,le=le+Math.imul(w,se)|0,be=be+Math.imul(w,fe)|0,he=he+Math.imul(m,de)|0,le=le+Math.imul(m,ue)|0,le=le+Math.imul(g,de)|0,be=be+Math.imul(g,ue)|0;let Ae=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,he=Math.imul(N,Y),le=Math.imul(N,V),le=le+Math.imul(O,Y)|0,be=Math.imul(O,V),he=he+Math.imul(R,$)|0,le=le+Math.imul(R,Q)|0,le=le+Math.imul(j,$)|0,be=be+Math.imul(j,Q)|0,he=he+Math.imul(A,te)|0,le=le+Math.imul(A,re)|0,le=le+Math.imul(I,te)|0,be=be+Math.imul(I,re)|0,he=he+Math.imul(E,ne)|0,le=le+Math.imul(E,ae)|0,le=le+Math.imul(x,ne)|0,be=be+Math.imul(x,ae)|0,he=he+Math.imul(M,se)|0,le=le+Math.imul(M,fe)|0,le=le+Math.imul(S,se)|0,be=be+Math.imul(S,fe)|0,he=he+Math.imul(y,de)|0,le=le+Math.imul(y,ue)|0,le=le+Math.imul(w,de)|0,be=be+Math.imul(w,ue)|0;let Ie=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,he=Math.imul(N,$),le=Math.imul(N,Q),le=le+Math.imul(O,$)|0,be=Math.imul(O,Q),he=he+Math.imul(R,te)|0,le=le+Math.imul(R,re)|0,le=le+Math.imul(j,te)|0,be=be+Math.imul(j,re)|0,he=he+Math.imul(A,ne)|0,le=le+Math.imul(A,ae)|0,le=le+Math.imul(I,ne)|0,be=be+Math.imul(I,ae)|0,he=he+Math.imul(E,se)|0,le=le+Math.imul(E,fe)|0,le=le+Math.imul(x,se)|0,be=be+Math.imul(x,fe)|0,he=he+Math.imul(M,de)|0,le=le+Math.imul(M,ue)|0,le=le+Math.imul(S,de)|0,be=be+Math.imul(S,ue)|0;let qe=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(qe>>>26)|0,qe&=67108863,he=Math.imul(N,te),le=Math.imul(N,re),le=le+Math.imul(O,te)|0,be=Math.imul(O,re),he=he+Math.imul(R,ne)|0,le=le+Math.imul(R,ae)|0,le=le+Math.imul(j,ne)|0,be=be+Math.imul(j,ae)|0,he=he+Math.imul(A,se)|0,le=le+Math.imul(A,fe)|0,le=le+Math.imul(I,se)|0,be=be+Math.imul(I,fe)|0,he=he+Math.imul(E,de)|0,le=le+Math.imul(E,ue)|0,le=le+Math.imul(x,de)|0,be=be+Math.imul(x,ue)|0;let Re=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Re>>>26)|0,Re&=67108863,he=Math.imul(N,ne),le=Math.imul(N,ae),le=le+Math.imul(O,ne)|0,be=Math.imul(O,ae),he=he+Math.imul(R,se)|0,le=le+Math.imul(R,fe)|0,le=le+Math.imul(j,se)|0,be=be+Math.imul(j,fe)|0,he=he+Math.imul(A,de)|0,le=le+Math.imul(A,ue)|0,le=le+Math.imul(I,de)|0,be=be+Math.imul(I,ue)|0;let je=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(je>>>26)|0,je&=67108863,he=Math.imul(N,se),le=Math.imul(N,fe),le=le+Math.imul(O,se)|0,be=Math.imul(O,fe),he=he+Math.imul(R,de)|0,le=le+Math.imul(R,ue)|0,le=le+Math.imul(j,de)|0,be=be+Math.imul(j,ue)|0;let Be=(pe+he|0)+((8191&le)<<13)|0;pe=(be+(le>>>13)|0)+(Be>>>26)|0,Be&=67108863,he=Math.imul(N,de),le=Math.imul(N,ue),le=le+Math.imul(O,de)|0,be=Math.imul(O,ue);let Ne=(pe+he|0)+((8191&le)<<13)|0;return pe=(be+(le>>>13)|0)+(Ne>>>26)|0,Ne&=67108863,a[0]=me,a[1]=ge,a[2]=ve,a[3]=ye,a[4]=we,a[5]=_e,a[6]=Me,a[7]=Se,a[8]=ke,a[9]=Ee,a[10]=xe,a[11]=ze,a[12]=Ae,a[13]=Ie,a[14]=qe,a[15]=Re,a[16]=je,a[17]=Be,a[18]=Ne,0!==pe&&(a[19]=pe,r.length+=1),r}Math.imul||(X=H),p.Red=z,e.exports=p}).call(this,r(2).Buffer)},function(e,t,r){"use strict";
/*!
 * chacha20.js - chacha20 for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(223)},function(e,t,r){"use strict";(function(t){
/*!
 * chacha20.js - chacha20 for bcrypto
 * Copyright (c) 2016-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Resources
 *   https://en.wikipedia.org/wiki/Chacha20
 *   https://tools.ietf.org/html/rfc7539#section-2
 *   https://cr.yp.to/chacha.html
 */
const i=r(8),n=0===new Int8Array(new Int16Array([1]).buffer)[0];class a{constructor(){this.state=new Uint32Array(16),this.stream=new Uint32Array(16),this.bytes=new Uint8Array(this.stream.buffer),this.pos=-1,n&&(this.bytes=t.alloc(64))}init(e,r,n){if(null==n&&(n=0),i(t.isBuffer(e)),i(t.isBuffer(r)),i(Number.isSafeInteger(n)),16!==e.length&&32!==e.length)throw new RangeError("Invalid key size.");if(r.length>=24&&(e=a.derive(e,r.slice(0,16)),r=r.slice(16)),this.state[0]=1634760805,this.state[1]=e.length<32?824206446:857760878,this.state[2]=e.length<32?2036477238:2036477234,this.state[3]=1797285236,this.state[4]=f(e,0),this.state[5]=f(e,4),this.state[6]=f(e,8),this.state[7]=f(e,12),this.state[8]=f(e,16%e.length),this.state[9]=f(e,20%e.length),this.state[10]=f(e,24%e.length),this.state[11]=f(e,28%e.length),this.state[12]=n>>>0,8===r.length)this.state[13]=n/4294967296>>>0,this.state[14]=f(r,0),this.state[15]=f(r,4);else if(12===r.length)this.state[13]=f(r,0),this.state[14]=f(r,4),this.state[15]=f(r,8);else{if(16!==r.length)throw new RangeError("Invalid nonce size.");this.state[12]=f(r,0),this.state[13]=f(r,4),this.state[14]=f(r,8),this.state[15]=f(r,12)}return this.pos=0,this}encrypt(e){if(i(t.isBuffer(e)),-1===this.pos)throw new Error("Context is not initialized.");for(let t=0;t<e.length;t++)0==(63&this.pos)&&(this._block(),this.pos=0),e[t]^=this.bytes[this.pos++];return e}_block(){for(let e=0;e<16;e++)this.stream[e]=this.state[e];for(let e=0;e<10;e++)o(this.stream,0,4,8,12),o(this.stream,1,5,9,13),o(this.stream,2,6,10,14),o(this.stream,3,7,11,15),o(this.stream,0,5,10,15),o(this.stream,1,6,11,12),o(this.stream,2,7,8,13),o(this.stream,3,4,9,14);for(let e=0;e<16;e++)this.stream[e]+=this.state[e];if(n)for(let e=0;e<16;e++)c(this.bytes,this.stream[e],4*e);this.state[12]+=1,0===this.state[12]&&(this.state[13]+=1)}destroy(){for(let e=0;e<16;e++)this.state[e]=0,this.stream[e]=0;if(n)for(let e=0;e<64;e++)this.bytes[e]=0;return this.pos=-1,this}static derive(e,r){if(i(t.isBuffer(e)),i(t.isBuffer(r)),16!==e.length&&32!==e.length)throw new RangeError("Invalid key size.");if(16!==r.length)throw new RangeError("Invalid nonce size.");const n=new Uint32Array(16);n[0]=1634760805,n[1]=e.length<32?824206446:857760878,n[2]=e.length<32?2036477238:2036477234,n[3]=1797285236,n[4]=f(e,0),n[5]=f(e,4),n[6]=f(e,8),n[7]=f(e,12),n[8]=f(e,16%e.length),n[9]=f(e,20%e.length),n[10]=f(e,24%e.length),n[11]=f(e,28%e.length),n[12]=f(r,0),n[13]=f(r,4),n[14]=f(r,8),n[15]=f(r,12);for(let e=0;e<10;e++)o(n,0,4,8,12),o(n,1,5,9,13),o(n,2,6,10,14),o(n,3,7,11,15),o(n,0,5,10,15),o(n,1,6,11,12),o(n,2,7,8,13),o(n,3,4,9,14);const a=t.alloc(32);return c(a,n[0],0),c(a,n[1],4),c(a,n[2],8),c(a,n[3],12),c(a,n[12],16),c(a,n[13],20),c(a,n[14],24),c(a,n[15],28),a}}function o(e,t,r,i,n){e[t]+=e[r],e[n]=s(e[n]^e[t],16),e[i]+=e[n],e[r]=s(e[r]^e[i],12),e[t]+=e[r],e[n]=s(e[n]^e[t],8),e[i]+=e[n],e[r]=s(e[r]^e[i],7)}function s(e,t){return e<<t|e>>>32-t}function f(e,t){return e[t++]+256*e[t++]+65536*e[t++]+16777216*e[t]}function c(e,t,r){return e[r++]=t,t>>>=8,e[r++]=t,t>>>=8,e[r++]=t,t>>>=8,e[r++]=t,r}a.native=0,e.exports=a}).call(this,r(2).Buffer)},function(e,t,r){"use strict";(function(t){
/*!
 * sha256.js - SHA256 implementation for bcrypto
 * Copyright (c) 2016-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/hash.js:
 *   Copyright (c) 2014, Fedor Indutny (MIT License).
 *   https://github.com/indutny/hash.js
 *
 * Resources:
 *   https://en.wikipedia.org/wiki/SHA-2
 *   https://tools.ietf.org/html/rfc4634
 *   https://github.com/indutny/hash.js/blob/master/lib/hash/sha/256.js
 */
const i=r(8),n=r(111),a=t.alloc(8,0),o=t.alloc(64,0);o[0]=128;const s=new Uint32Array([1116352408,1899447441,3049323471,3921009573,961987163,1508970993,2453635748,2870763221,3624381080,310598401,607225278,1426881987,1925078388,2162078206,2614888103,3248222580,3835390401,4022224774,264347078,604807628,770255983,1249150122,1555081692,1996064986,2554220882,2821834349,2952996808,3210313671,3336571891,3584528711,113926993,338241895,666307205,773529912,1294757372,1396182291,1695183700,1986661051,2177026350,2456956037,2730485921,2820302411,3259730800,3345764771,3516065817,3600352804,4094571909,275423344,430227734,506948616,659060556,883997877,958139571,1322822218,1537002063,1747873779,1955562222,2024104815,2227730452,2361852424,2428436474,2756734187,3204031479,3329325298]);class f{constructor(){this.state=new Uint32Array(8),this.msg=new Uint32Array(64),this.block=t.alloc(64),this.size=-1}init(){return this.state[0]=1779033703,this.state[1]=3144134277,this.state[2]=1013904242,this.state[3]=2773480762,this.state[4]=1359893119,this.state[5]=2600822924,this.state[6]=528734635,this.state[7]=1541459225,this.size=0,this}update(e){return i(t.isBuffer(e)),this._update(e,e.length),this}final(){return this._final(t.alloc(32))}_update(e,t){i(-1!==this.size,"Context is not initialized.");let r=63&this.size,n=0;if(this.size+=t,r>0){let i=64-r;if(i>t&&(i=t),e.copy(this.block,r,n,n+i),r+=i,t-=i,n+=i,r<64)return;this._transform(this.block,0)}for(;t>=64;)this._transform(e,n),n+=64,t-=64;t>0&&e.copy(this.block,0,n,n+t)}_final(e){i(-1!==this.size,"Context is not initialized.");const t=63&this.size,r=8*this.size;b(a,r*(1/4294967296)>>>0,0),b(a,r>>>0,4),this._update(o,1+(119-t&63)),this._update(a,8);for(let t=0;t<8;t++)b(e,this.state[t],4*t),this.state[t]=0;for(let e=0;e<64;e++)this.msg[e]=0;for(let e=0;e<64;e++)this.block[e]=0;return this.size=-1,e}_transform(e,t){const r=this.msg;let i=this.state[0],n=this.state[1],a=this.state[2],o=this.state[3],f=this.state[4],b=this.state[5],p=this.state[6],m=this.state[7],g=0;for(;g<16;g++)r[g]=(y=t+4*g,16777216*(v=e)[y++]+65536*v[y++]+256*v[y++]+v[y]);for(var v,y,w;g<64;g++)r[g]=(((w=r[g-2])>>>17|w<<15)^(w>>>19|w<<13)^w>>>10)+r[g-7]+u(r[g-15])+r[g-16];for(g=0;g<64;g++){const e=m+d(f)+h(f,b,p)+s[g]+r[g],t=c(i)+l(i,n,a);m=p,p=b,b=f,f=o+e>>>0,o=a,a=n,n=i,i=e+t>>>0}this.state[0]+=i,this.state[1]+=n,this.state[2]+=a,this.state[3]+=o,this.state[4]+=f,this.state[5]+=b,this.state[6]+=p,this.state[7]+=m}static hash(){return new f}static hmac(){return new n(f,64)}static digest(e){return f.ctx.init().update(e).final()}static root(e,r){return i(t.isBuffer(e)&&32===e.length),i(t.isBuffer(r)&&32===r.length),f.ctx.init().update(e).update(r).final()}static multi(e,t,r){const{ctx:i}=f;return i.init(),i.update(e),i.update(t),r&&i.update(r),i.final()}static mac(e,t){return f.hmac().init(t).update(e).final()}}function c(e){return(e>>>2|e<<30)^(e>>>13|e<<19)^(e>>>22|e<<10)}function d(e){return(e>>>6|e<<26)^(e>>>11|e<<21)^(e>>>25|e<<7)}function u(e){return(e>>>7|e<<25)^(e>>>18|e<<14)^e>>>3}function h(e,t,r){return r^e&(t^r)}function l(e,t,r){return e&t|r&(e|t)}function b(e,t,r){return e[r++]=t>>>24,e[r++]=t>>>16,e[r++]=t>>>8,e[r++]=t,r}f.native=0,f.id="SHA256",f.size=32,f.bits=256,f.blockSize=64,f.zero=t.alloc(32,0),f.ctx=new f,e.exports=f}).call(this,r(2).Buffer)},function(e,t,r){"use strict";(function(e,i){
/*!
 * random.js - random number generator for bcrypto
 * Copyright (c) 2014-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Resources:
 *   https://wiki.openssl.org/index.php/Random_Numbers
 *   https://csrc.nist.gov/projects/random-bit-generation/
 *   http://www.pcg-random.org/posts/bounded-rands.html
 *   https://developer.mozilla.org/en-US/docs/Web/API/Crypto/getRandomValues
 */
const n=r(8),a=e.crypto||e.msCrypto,o=a&&"function"==typeof a.getRandomValues,s=o?a.getRandomValues.bind(a):null,f=new Uint32Array(16);let c=0;function d(){return 0==(15&c)&&(u(f),c=0),f[c++]}function u(e){if(!o)throw new Error("Entropy source not available.");return s(e)}function h(e,t,r){if(n(i.isBuffer(e)),n(e.buffer instanceof ArrayBuffer),n(e.byteOffset>>>0===e.byteOffset),n(e.byteLength>>>0===e.byteLength),n(t>>>0===t),n(r>>>0===r),n(t+r<=e.byteLength),r>2**31-1)throw new RangeError('The value "size" is out of range.');const a=e.byteOffset+t,o=new Uint8Array(e.buffer,a,r);if(o.length>65536)for(let e=0;e<o.length;e+=65536){let t=e+65536;t>o.length&&(t=o.length),u(o.subarray(e,t))}else o.length>0&&u(o)}t.native=0,t.randomBytes=function(e){n(e>>>0===e);const t=i.alloc(e);return h(t,0,e),t},t.randomFill=function(e,t,r){return n(i.isBuffer(e)),null==t&&(t=0),n(t>>>0===t),null==r&&(r=e.length-t),n(r>>>0===r),n(t+r<=e.length),h(e,t,r),e},t.randomInt=d,t.randomRange=function(e,t){n(e>>>0===e),n(t>>>0===t),n(t>=e);const r=t-e;if(0===r)return e;const i=-r>>>0;let a,o;do{a=d(),o=a%r}while(a-o>i);return o+e}}).call(this,r(5),r(2).Buffer)},function(e,t,r){"use strict";
/*!
 * sha512.js - sha512 for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(227)},function(e,t,r){"use strict";(function(t){
/*!
 * sha512.js - SHA512 implementation for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/hash.js:
 *   Copyright (c) 2014, Fedor Indutny (MIT License).
 *   https://github.com/indutny/hash.js
 *
 * Resources:
 *   https://en.wikipedia.org/wiki/SHA-2
 *   https://tools.ietf.org/html/rfc4634
 *   https://github.com/indutny/hash.js/blob/master/lib/hash/sha/512.js
 */
const i=r(8),n=r(111),a=t.alloc(16,0),o=t.alloc(128,0);o[0]=128;const s=new Uint32Array([1116352408,3609767458,1899447441,602891725,3049323471,3964484399,3921009573,2173295548,961987163,4081628472,1508970993,3053834265,2453635748,2937671579,2870763221,3664609560,3624381080,2734883394,310598401,1164996542,607225278,1323610764,1426881987,3590304994,1925078388,4068182383,2162078206,991336113,2614888103,633803317,3248222580,3479774868,3835390401,2666613458,4022224774,944711139,264347078,2341262773,604807628,2007800933,770255983,1495990901,1249150122,1856431235,1555081692,3175218132,1996064986,2198950837,2554220882,3999719339,2821834349,766784016,2952996808,2566594879,3210313671,3203337956,3336571891,1034457026,3584528711,2466948901,113926993,3758326383,338241895,168717936,666307205,1188179964,773529912,1546045734,1294757372,1522805485,1396182291,2643833823,1695183700,2343527390,1986661051,1014477480,2177026350,1206759142,2456956037,344077627,2730485921,1290863460,2820302411,3158454273,3259730800,3505952657,3345764771,106217008,3516065817,3606008344,3600352804,1432725776,4094571909,1467031594,275423344,851169720,430227734,3100823752,506948616,1363258195,659060556,3750685593,883997877,3785050280,958139571,3318307427,1322822218,3812723403,1537002063,2003034995,1747873779,3602036899,1955562222,1575990012,2024104815,1125592928,2227730452,2716904306,2361852424,442776044,2428436474,593698344,2756734187,3733110249,3204031479,2999351573,3329325298,3815920427,3391569614,3928383900,3515267271,566280711,3940187606,3454069534,4118630271,4000239992,116418474,1914138554,174292421,2731055270,289380356,3203993006,460393269,320620315,685471733,587496836,852142971,1086792851,1017036298,365543100,1126000580,2618297676,1288033470,3409855158,1501505948,4234509866,1607167915,987167468,1816402316,1246189591]);class f{constructor(){this.state=new Uint32Array(16),this.msg=new Uint32Array(160),this.block=t.alloc(128),this.size=-1}init(){return this.state[0]=1779033703,this.state[1]=4089235720,this.state[2]=3144134277,this.state[3]=2227873595,this.state[4]=1013904242,this.state[5]=4271175723,this.state[6]=2773480762,this.state[7]=1595750129,this.state[8]=1359893119,this.state[9]=2917565137,this.state[10]=2600822924,this.state[11]=725511199,this.state[12]=528734635,this.state[13]=4215389547,this.state[14]=1541459225,this.state[15]=327033209,this.size=0,this}update(e){return i(t.isBuffer(e)),this._update(e,e.length),this}final(){return this._final(t.alloc(64))}_update(e,t){i(-1!==this.size,"Context is not initialized.");let r=127&this.size,n=0;if(this.size+=t,r>0){let i=128-r;if(i>t&&(i=t),e.copy(this.block,r,n,n+i),r+=i,t-=i,n+=i,r<128)return;this._transform(this.block,0)}for(;t>=128;)this._transform(e,n),n+=128,t-=128;t>0&&e.copy(this.block,0,n,n+t)}_final(e){i(-1!==this.size,"Context is not initialized.");const t=127&this.size,r=8*this.size;j(a,r*(1/4294967296)>>>0,8),j(a,r>>>0,12),this._update(o,1+(239-t&127)),this._update(a,16);for(let t=0;t<16;t++)j(e,this.state[t],4*t),this.state[t]=0;for(let e=0;e<160;e++)this.msg[e]=0;for(let e=0;e<128;e++)this.block[e]=0;return this.size=-1,e}_prepare(e,t){const r=this.msg;let i=0;for(;i<32;i++)r[i]=(a=t+4*i,16777216*(n=e)[a++]+65536*n[a++]+256*n[a++]+n[a]);for(var n,a;i<160;i+=2){const e=q(r[i-4],r[i-3]),t=R(r[i-4],r[i-3]),n=r[i-14],a=r[i-13],o=A(r[i-30],r[i-29]),s=I(r[i-30],r[i-29]),f=r[i-32],c=r[i-31];r[i+0]=h(e,t,n,a,o,s,f,c),r[i+1]=l(e,t,n,a,o,s,f,c)}}_transform(e,t){const r=this.msg;this._prepare(e,t);let i=this.state[0],n=this.state[1],a=this.state[2],o=this.state[3],f=this.state[4],h=this.state[5],l=this.state[6],m=this.state[7],g=this.state[8],v=this.state[9],y=this.state[10],A=this.state[11],I=this.state[12],q=this.state[13],R=this.state[14],j=this.state[15];for(let e=0;e<r.length;e+=2){let t=R,c=j,B=x(g,v),N=z(g,v);const O=w(g,v,y,A,I,q),T=_(g,v,y,A,I,q),P=s[e+0],L=s[e+1],D=r[e+0],C=r[e+1],U=b(t,c,B,N,O,T,P,L,D,C),F=p(t,c,B,N,O,T,P,L,D,C);t=k(i,n),c=E(i,n),B=M(i,n,a,o,f,h),N=S(i,n,a,o,f,h);const K=d(t,c,B,N),J=u(t,c,B,N);R=I,j=q,I=y,q=A,y=g,A=v,g=d(l,m,U,F),v=u(m,m,U,F),l=f,m=h,f=a,h=o,a=i,o=n,i=d(U,F,K,J),n=u(U,F,K,J)}c(this.state,0,i,n),c(this.state,2,a,o),c(this.state,4,f,h),c(this.state,6,l,m),c(this.state,8,g,v),c(this.state,10,y,A),c(this.state,12,I,q),c(this.state,14,R,j)}static hash(){return new f}static hmac(){return new n(f,128)}static digest(e){return f.ctx.init().update(e).final()}static root(e,r){return i(t.isBuffer(e)&&64===e.length),i(t.isBuffer(r)&&64===r.length),f.ctx.init().update(e).update(r).final()}static multi(e,t,r){const{ctx:i}=f;return i.init(),i.update(e),i.update(t),r&&i.update(r),i.final()}static mac(e,t){return f.hmac().init(t).update(e).final()}}function c(e,t,r,i){const n=e[t+0],a=i+e[t+1]>>>0,o=(a<i)+r+n;e[t+0]=o>>>0,e[t+1]=a}function 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z(e,t){return(g(e,t,14)^g(e,t,18)^g(t,e,9))>>>0}function A(e,t){return(m(e,t,1)^m(e,t,8)^v(e,0,7))>>>0}function I(e,t){return(g(e,t,1)^g(e,t,8)^y(e,t,7))>>>0}function q(e,t){return(m(e,t,19)^m(t,e,29)^v(e,0,6))>>>0}function R(e,t){return(g(e,t,19)^g(t,e,29)^y(e,t,6))>>>0}function j(e,t,r){return e[r++]=t>>>24,e[r++]=t>>>16,e[r++]=t>>>8,e[r++]=t,r}f.native=0,f.id="SHA512",f.size=64,f.bits=512,f.blockSize=128,f.zero=t.alloc(64,0),f.ctx=new 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strict";
/*!
 * secp256k1.js - secp256k1 for bcrypto
 * Copyright (c) 2014-2015, Fedor Indutny (MIT License)
 * Copyright (c) 2014-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(230)},function(e,t,r){"use strict";
/*!
 * secp256k1.js - secp256k1 for bcrypto
 * Copyright (c) 2014-2015, Fedor Indutny (MIT License)
 * Copyright (c) 2014-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */const i=r(231),n=r(110),a=r(241);e.exports=new i("SECP256K1",n,n,a)},function(e,t,r){"use strict";(function(t){
/*!
 * ecdsa.js - ECDSA for bcrypto
 * Copyright (c) 2018-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/elliptic:
 *   Copyright (c) 2014, Fedor Indutny (MIT License).
 *   https://github.com/indutny/elliptic
 *
 * References:
 *
 *   [SEC1] SEC 1: Elliptic Curve Cryptography, Version 2.0
 *     Certicom Research
 *     http://www.secg.org/sec1-v2.pdf
 *
 *   [FIPS186] Suite B Implementer's Guide to FIPS 186-3 (ECDSA)
 *     https://tinyurl.com/fips186-guide
 *
 *   [GECC] Guide to Elliptic Curve Cryptography
 *     D. Hankerson, A. Menezes, and S. Vanstone
 *     https://tinyurl.com/guide-to-ecc
 *
 *   [RFC6979] Deterministic Usage of the Digital Signature
 *             Algorithm (DSA) and Elliptic Curve Digital
 *             Signature Algorithm (ECDSA)
 *     T. Pornin
 *     https://tools.ietf.org/html/rfc6979
 */
const i=r(8),n=r(21),a=r(113),o=r(232),s=r(238),f=r(239),c=r(112);e.exports=class{constructor(e,t,r,n){i("string"==typeof e),i(t),i(r),this.id=e,this.type="ecdsa",this.hash=t,this.xof=r,this.native=0,this._pre=n||null,this._curve=null,this._schnorr=null}get curve(){return this._curve||(this._curve=c.curve(this.id,this._pre),this._curve.precompute(a),this._pre=null),this._curve}get schnorr(){return this._schnorr||(this._schnorr=new s(this.curve,this.xof)),this._schnorr}get size(){return this.curve.fieldSize}get bits(){return this.curve.fieldBits}privateKeyGenerate(){const e=this.curve.randomScalar(a);return this.curve.encodeScalar(e)}privateKeyVerify(e){let r;i(t.isBuffer(e));try{r=this.curve.decodeScalar(e)}catch(e){return!1}return!r.isZero()&&r.cmp(this.curve.n)<0}privateKeyExport(e){const r=this.publicKeyCreate(e,!1),{x:i,y:n}=this.publicKeyExport(r);return{d:t.from(e),x:i,y:n}}privateKeyImport(e){i(e&&"object"==typeof e);const t=n.decode(e.d,this.curve.endian);if(t.isZero()||t.cmp(this.curve.n)>=0)throw new Error("Invalid private key.");return this.curve.encodeScalar(t)}privateKeyTweakAdd(e,t){const r=this.curve.decodeScalar(t);if(r.cmp(this.curve.n)>=0)throw new Error("Invalid scalar.");const i=this.curve.decodeScalar(e);if(i.isZero()||i.cmp(this.curve.n)>=0)throw new Error("Invalid private key.");const n=i.add(r).imod(this.curve.n);if(n.isZero())throw new Error("Invalid private key.");return this.curve.encodeScalar(n)}privateKeyTweakMul(e,t){const r=this.curve.decodeScalar(t);if(r.isZero()||r.cmp(this.curve.n)>=0)throw new Error("Invalid scalar.");const i=this.curve.decodeScalar(e);if(i.isZero()||i.cmp(this.curve.n)>=0)throw new Error("Invalid private key.");const n=i.mul(r).imod(this.curve.n);if(n.isZero())throw new Error("Invalid private key.");return this.curve.encodeScalar(n)}privateKeyNegate(e){const t=this.curve.decodeScalar(e);if(t.isZero()||t.cmp(this.curve.n)>=0)throw new Error("Invalid private key.");const r=t.neg().imod(this.curve.n);return this.curve.encodeScalar(r)}privateKeyInvert(e){const t=this.curve.decodeScalar(e);if(t.isZero()||t.cmp(this.curve.n)>=0)throw new Error("Invalid private key.");const r=t.invert(this.curve.n);return this.curve.encodeScalar(r)}publicKeyCreate(e,t){const r=this.curve.decodeScalar(e);if(r.isZero()||r.cmp(this.curve.n)>=0)throw new Error("Invalid private key.");return this.curve.g.mulBlind(r).encode(t)}publicKeyConvert(e,t){return this.curve.decodePoint(e).encode(t)}publicKeyFromUniform(e,t){const r=this.curve.decodeUniform(e);return this.curve.pointFromUniform(r).encode(t)}publicKeyToUniform(e,t=a.randomInt()){const r=this.curve.decodePoint(e),i=this.curve.pointToUniform(r,t);return this.curve.encodeUniform(i,t>>>8)}publicKeyFromHash(e,t){return this.curve.pointFromHash(e).encode(t)}publicKeyToHash(e){const t=this.curve.decodePoint(e);return 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/*!
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/*!
 * schnorr-legacy.js - bip-schnorr for bcrypto
 * Copyright (c) 2019-2020, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on sipa/bip-schnorr:
 *   Copyright (c) 2018-2019, Pieter Wuille (2-clause BSD License).
 *   https://github.com/sipa/bips/blob/d194620/bip-schnorr/reference.py
 *
 * Parts of this software are based on ElementsProject/secp256k1-zkp:
 *   Copyright (c) 2013, Pieter Wuille.
 *   https://github.com/ElementsProject/secp256k1-zkp
 *
 * Resources:
 *   https://github.com/sipa/bips/blob/d194620/bip-schnorr.mediawiki
 *   https://github.com/sipa/bips/blob/d194620/bip-schnorr/reference.py
 *   https://github.com/sipa/bips/blob/d194620/bip-schnorr/test-vectors.csv
 *   https://github.com/ElementsProject/secp256k1-zkp/tree/11af701/src/modules/schnorrsig
 *   https://github.com/bitcoincashorg/bitcoincash.org/blob/master/spec/2019-05-15-schnorr.md
 *
 * References:
 *
 *   [SCHNORR] Schnorr Signatures for secp256k1
 *     Pieter Wuille
 *     https://github.com/sipa/bips/blob/d194620/bip-schnorr.mediawiki
 *
 *   [CASH] Schnorr Signature specification
 *     Mark B. Lundeberg
 *     https://github.com/bitcoincashorg/bitcoincash.org/blob/master/spec/2019-05-15-schnorr.md
 */
const i=r(8),n=r(108),a=r(21);e.exports=class{constructor(e,t){this.curve=e,this.hash=t,this.rng=new n(this.curve,this.encode.bind(this))}check(){if(3!==this.curve.p.andln(3))throw new Error(`Schnorr is not supported for ${this.curve.id}.`)}encode(e){i(t.isBuffer(e));const{fieldSize:r}=this.curve;if(e.length===1+r)return e;if(e.length!==1+2*r)throw new Error("Invalid point.");const n=t.alloc(1+r);return n[0]=2|1&e[e.length-1],e.copy(n,1,1,1+r),n}hashInt(...e){const t=new this.hash;t.init();for(const r of e)t.update(r);let r=t.final(this.curve.scalarSize);r.length>this.curve.scalarSize&&(r=r.slice(0,this.curve.scalarSize));const i=a.decode(r,this.curve.endian);return i.iumaskn(this.curve.scalarBits),i.imod(this.curve.n)}hashNonce(e,t){return this.hashInt(e,t)}hashChallenge(e,t,r){return this.hashInt(e,this.encode(t),r)}sign(e,r){return i(t.isBuffer(e)),this.check(),this._sign(e,r)}_sign(e,r){const{n:i}=this.curve,n=this.curve.g,a=this.curve.decodeScalar(r);if(a.isZero()||a.cmp(i)>=0)throw new Error("Invalid private key.");const o=n.mulBlind(a),s=this.hashNonce(r,e);if(s.isZero())throw new Error("Signing failed (k' = 0).");const f=n.mulBlind(s);f.isSquare()||s.ineg().imod(i);const c=f.encodeX(),d=o.encode(),u=this.hashChallenge(c,d,e),h=s.add(u.mul(a)).imod(i);return t.concat([c,this.curve.encodeScalar(h)])}verify(e,r,n){if(i(t.isBuffer(e)),i(t.isBuffer(r)),i(t.isBuffer(n)),this.check(),r.length!==this.curve.fieldSize+this.curve.scalarSize)return!1;try{return this._verify(e,r,n)}catch(e){return!1}}_verify(e,t,r){const{p:i,n:n}=this.curve,a=this.curve.g,o=t.slice(0,this.curve.fieldSize),s=t.slice(this.curve.fieldSize),f=this.curve.decodeField(o),c=this.curve.decodeScalar(s),d=this.curve.decodePoint(r);if(f.cmp(i)>=0||c.cmp(n)>=0)return!1;const u=this.hashChallenge(o,r,e),h=a.jmulAdd(c,d,u.ineg().imod(n));return!!h.isSquare()&&!!h.eqX(f)}verifyBatch(e){i(Array.isArray(e)),this.check();for(const r of e){i(Array.isArray(r)&&3===r.length);const[e,n,a]=r;if(i(t.isBuffer(e)),i(t.isBuffer(n)),i(t.isBuffer(a)),n.length!==this.curve.fieldSize+this.curve.scalarSize)return!1}try{return this._verifyBatch(e)}catch(e){return!1}}_verifyBatch(e){const{n:t}=this.curve,r=this.curve.g,i=new Array(1+2*e.length),n=new Array(1+2*e.length),o=new a(0);this.rng.init(e),i[0]=r,n[0]=o;for(let r=0;r<e.length;r++){const[a,s,f]=e[r],c=s.slice(0,this.curve.fieldSize),d=s.slice(this.curve.fieldSize),u=this.curve.decodeSquare(c),h=this.curve.decodeScalar(d),l=this.curve.decodePoint(f);if(h.cmp(t)>=0)return!1;const b=this.hashChallenge(c,f,a),p=this.rng.generate(r),m=b.mul(p).imod(t);o.iadd(h.mul(p)).imod(t),i[1+2*r+0]=u,n[1+2*r+0]=p,i[1+2*r+1]=l,n[1+2*r+1]=m}return o.ineg().imod(t),this.curve.jmulAll(i,n).isInfinity()}}}).call(this,r(2).Buffer)},function(e,t,r){"use strict";
/*!
 * hmac-drbg.js - hmac-drbg for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(240)},function(e,t,r){"use strict";(function(t){
/*!
 * hmac-drbg.js - hmac-drbg implementation for bcrypto
 * Copyright (c) 2017-2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Parts of this software are based on indutny/hmac-drbg:
 *   Copyright Fedor Indutny, 2017.
 *   https://github.com/indutny/hmac-drbg
 *
 * Resources:
 *   https://tools.ietf.org/html/rfc6979
 *   https://csrc.nist.gov/publications/detail/sp/800-90a/archive/2012-01-23
 *   https://github.com/indutny/hmac-drbg/blob/master/lib/hmac-drbg.js
 */
const i=r(8),n=t.from([0]),a=t.from([1]);class o{constructor(e,r,n,a){i(e&&"string"==typeof e.id),this.hash=e,this.minEntropy="SHA1"===e.id?10:24,this.K=t.alloc(e.size),this.V=t.alloc(e.size),this.rounds=0,r&&this.init(r,n,a)}init(e,r,n){null==r&&(r=t.alloc(0)),null==n&&(n=t.alloc(0)),i(t.isBuffer(e)),i(t.isBuffer(r)),i(t.isBuffer(n));for(let e=0;e<this.V.length;e++)this.K[e]=0,this.V[e]=1;const a=t.concat([e,r,n]);if(a.length<this.minEntropy)throw new Error("Not enough entropy.");return this.update(a),this.rounds=1,this}reseed(e,r){if(null==r&&(r=t.alloc(0)),i(t.isBuffer(e)),i(t.isBuffer(r)),0===this.rounds)throw new Error("DRBG not initialized.");const n=t.concat([e,r]);if(n.length<this.minEntropy)throw new Error("Not enough entropy.");return this.update(n),this.rounds=1,this}generate(e,r){if(i(e>>>0===e),i(null==r||t.isBuffer(r)),0===this.rounds)throw new Error("DRBG not initialized.");if(this.rounds>281474976710656)throw new Error("Reseed is required.");r&&r.length>0&&this.update(r);const n=Math.ceil(e/this.hash.size),a=t.alloc(n*this.hash.size);for(let e=0;e<n;e++)this.V=this.mac(this.V),this.V.copy(a,e*this.hash.size);return this.update(r),this.rounds+=1,a.slice(0,e)}randomBytes(e){return this.generate(e)}mac(e){return this.hash.mac(e,this.K)}hmac(){return this.hash.hmac().init(this.K)}update(e){i(null==e||t.isBuffer(e));const r=this.hmac();if(r.update(this.V),r.update(n),e&&r.update(e),this.K=r.final(),this.V=this.mac(this.V),e&&e.length>0){const t=this.hmac();t.update(this.V),t.update(a),t.update(e),this.K=t.final(),this.V=this.mac(this.V)}return 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strict";
/*!
 * base16.js - base16 for bcrypto
 * Copyright (c) 2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 */e.exports=r(243)},function(e,t,r){"use strict";(function(e){
/*!
 * base16.js - base16 for javascript
 * Copyright (c) 2019, Christopher Jeffrey (MIT License).
 * https://github.com/bcoin-org/bcrypto
 *
 * Resources:
 *   https://tools.ietf.org/html/rfc4648
 */
const i=r(8),n=[-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,1,2,3,4,5,6,7,8,9,-1,-1,-1,-1,-1,-1,-1,10,11,12,13,14,15,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,10,11,12,13,14,15,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1];function a(t,r){i(e.isBuffer(t));let n=t.length,a=r<0?n-1:0,o="";for(;n--;)o+="0123456789abcdef"[t[a]>>4],o+="0123456789abcdef"[15&t[a]],a+=r;return o}function o(t,r){i("string"==typeof t);let a=t.length,o=r<0?a-2:0,s=0,f=0;if(1&a)throw new Error("Invalid hex string.");a>>>=1,r*=2;const c=e.alloc(a);for(;a--;){const e=t.charCodeAt(o+0),i=t.charCodeAt(o+1),a=n[127&e],d=n[127&i];f|=e|i|a|d,c[s++]=a<<4|d,o+=r}if(4294967168&f)throw new Error("Invalid hex string.");return c}function s(e){if(i("string"==typeof e),1&e.length)return!1;for(let t=0;t<e.length;t++){const 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e)throw new TypeError("Expected String");if(0===e.length)return i.alloc(0);var r=0;if(" "!==e[r]){for(var n=0,a=0;e[r]===f;)n++,r++;for(var o=(e.length-r)*c+1>>>0,d=new Uint8Array(o);e[r];){var u=t[e.charCodeAt(r)];if(255===u)return;for(var h=0,l=o-1;(0!==u||h<a)&&-1!==l;l--,h++)u+=s*d[l]>>>0,d[l]=u%256>>>0,u=u/256>>>0;if(0!==u)throw new Error("Non-zero carry");a=h,r++}if(" "!==e[r]){for(var b=o-a;b!==o&&0===d[b];)b++;var p=i.allocUnsafe(n+(o-b));p.fill(0,0,n);for(var m=n;b!==o;)p[m++]=d[b++];return p}}}return{encode:function(t){if((Array.isArray(t)||t instanceof Uint8Array)&&(t=i.from(t)),!i.isBuffer(t))throw new TypeError("Expected Buffer");if(0===t.length)return"";for(var r=0,n=0,a=0,o=t.length;a!==o&&0===t[a];)a++,r++;for(var c=(o-a)*d+1>>>0,u=new Uint8Array(c);a!==o;){for(var h=t[a],l=0,b=c-1;(0!==h||l<n)&&-1!==b;b--,l++)h+=256*u[b]>>>0,u[b]=h%s>>>0,h=h/s>>>0;if(0!==h)throw new Error("Non-zero carry");n=l,a++}for(var p=c-n;p!==c&&0===u[p];)p++;for(var m=f.repeat(r);p<c;++p)m+=e.charAt(u[p]);return m},decodeUnsafe:u,decode:function(e){var t=u(e);if(t)return t;throw new Error("Non-base"+s+" character")}}}},function(e,t,r){(function(t){const i=r(4),n=new(0,r(30).ec)("secp256k1"),a=r(261),o=t.alloc(32,0),s=t.from("fffffffffffffffffffffffffffffffebaaedce6af48a03bbfd25e8cd0364141","hex"),f=t.from("fffffffffffffffffffffffffffffffffffffffffffffffffffffffefffffc2f","hex"),c=n.curve.n,d=c.shrn(1),u=n.curve.g;function h(e){return t.isBuffer(e)&&32===e.length}function l(e){return!!h(e)&&e.compare(s)<0}function b(e){if(!t.isBuffer(e))return!1;if(e.length<33)return!1;const r=e[0],i=e.slice(1,33);if(0===i.compare(o))return!1;if(i.compare(f)>=0)return!1;if((2===r||3===r)&&33===e.length){try{w(e)}catch(e){return!1}return!0}const n=e.slice(33);return 0!==n.compare(o)&&(!(n.compare(f)>=0)&&(4===r&&65===e.length))}function p(e){return 4!==e[0]}function m(e){return!!h(e)&&(e.compare(o)>0&&e.compare(s)<0)}function g(e,t){return void 0===e&&void 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TypeError("Expected Point");if(!l(t))throw new TypeError("Expected Tweak");const i=g(r,e),n=w(e);if(0===t.compare(o))return _(n,i);const a=v(t),s=u.mul(a),f=n.add(s);return f.isInfinity()?null:_(f,i)},pointCompress:function(e,t){if(!b(e))throw new TypeError("Expected Point");const r=w(e);if(r.isInfinity())throw new TypeError("Expected Point");return _(r,g(t,e))},pointFromScalar:function(e,t){if(!m(e))throw new TypeError("Expected Private");const r=v(e),i=u.mul(r);return i.isInfinity()?null:_(i,g(t))},pointMultiply:function(e,t,r){if(!b(e))throw new TypeError("Expected Point");if(!l(t))throw new TypeError("Expected Tweak");const i=g(r,e),n=w(e),a=v(t),o=n.mul(a);return o.isInfinity()?null:_(o,i)},privateAdd:function(e,t){if(!m(e))throw new TypeError("Expected Private");if(!l(t))throw new TypeError("Expected Tweak");const r=v(e),i=v(t),n=y(r.add(i).umod(c));return m(n)?n:null},privateSub:function(e,t){if(!m(e))throw new TypeError("Expected Private");if(!l(t))throw new TypeError("Expected 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