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this},o.prototype._strip=function(){while(this.length>1&&0===this.words[this.length-1])this.length--;return this._normSign()},o.prototype._normSign=function(){return 1===this.length&&0===this.words[0]&&(this.negative=0),this},"undefined"!==typeof Symbol&&"function"===typeof Symbol.for)try{o.prototype[Symbol.for("nodejs.util.inspect.custom")]=h}catch(R){o.prototype.inspect=h}else o.prototype.inspect=h;function h(){return(this.red?"<BN-R: ":"<BN: ")+this.toString(16)+">"}var l=["","0","00","000","0000","00000","000000","0000000","00000000","000000000","0000000000","00000000000","000000000000","0000000000000","00000000000000","000000000000000","0000000000000000","00000000000000000","000000000000000000","0000000000000000000","00000000000000000000","000000000000000000000","0000000000000000000000","00000000000000000000000","000000000000000000000000","0000000000000000000000000"],d=[0,0,25,16,12,11,10,9,8,8,7,7,7,7,6,6,6,6,6,6,6,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5],p=[0,0,33554432,43046721,16777216,48828125,60466176,40353607,16777216,43046721,1e7,19487171,35831808,62748517,7529536,11390625,16777216,24137569,34012224,47045881,64e6,4084101,5153632,6436343,7962624,9765625,11881376,14348907,17210368,20511149,243e5,28629151,33554432,39135393,45435424,52521875,60466176];o.prototype.toString=function(t,e){var r;if(t=t||10,e=0|e||1,16===t||"hex"===t){r="";for(var i=0,o=0,u=0;u<this.length;u++){var a=this.words[u],s=(16777215&(a<<i|o)).toString(16);o=a>>>24-i&16777215,i+=2,i>=26&&(i-=26,u--),r=0!==o||u!==this.length-1?l[6-s.length]+s+r:s+r}0!==o&&(r=o.toString(16)+r);while(r.length%e!==0)r="0"+r;return 0!==this.negative&&(r="-"+r),r}if(t===(0|t)&&t>=2&&t<=36){var f=d[t],c=p[t];r="";var h=this.clone();h.negative=0;while(!h.isZero()){var b=h.modrn(c).toString(t);h=h.idivn(c),r=h.isZero()?b+r:l[f-b.length]+b+r}this.isZero()&&(r="0"+r);while(r.length%e!==0)r="0"+r;return 0!==this.negative&&(r="-"+r),r}n(!1,"Base should be between 2 and 36")},o.prototype.toNumber=function(){var t=this.words[0];return 2===this.length?t+=67108864*this.words[1]:3===this.length&&1===this.words[2]?t+=4503599627370496+67108864*this.words[1]:this.length>2&&n(!1,"Number can only safely store up to 53 bits"),0!==this.negative?-t:t},o.prototype.toJSON=function(){return this.toString(16,2)},u&&(o.prototype.toBuffer=function(t,e){return this.toArrayLike(u,t,e)}),o.prototype.toArray=function(t,e){return this.toArrayLike(Array,t,e)};var b=function(t,e){return t.allocUnsafe?t.allocUnsafe(e):new t(e)};function g(t){for(var e=new Array(t.bitLength()),r=0;r<e.length;r++){var n=r/26|0,i=r%26;e[r]=t.words[n]>>>i&1}return e}function m(t,e,r){r.negative=e.negative^t.negative;var n=t.length+e.length|0;r.length=n,n=n-1|0;var i=0|t.words[0],o=0|e.words[0],u=i*o,a=67108863&u,s=u/67108864|0;r.words[0]=a;for(var f=1;f<n;f++){for(var c=s>>>26,h=67108863&s,l=Math.min(f,e.length-1),d=Math.max(0,f-t.length+1);d<=l;d++){var p=f-d|0;i=0|t.words[p],o=0|e.words[d],u=i*o+h,c+=u/67108864|0,h=67108863&u}r.words[f]=0|h,s=0|c}return 0!==s?r.words[f]=0|s:r.length--,r._strip()}o.prototype.toArrayLike=function(t,e,r){this._strip();var i=this.byteLength(),o=r||Math.max(1,i);n(i<=o,"byte array longer than desired length"),n(o>0,"Requested array length <= 0");var u=b(t,o),a="le"===e?"LE":"BE";return this["_toArrayLike"+a](u,i),u},o.prototype._toArrayLikeLE=function(t,e){for(var r=0,n=0,i=0,o=0;i<this.length;i++){var u=this.words[i]<<o|n;t[r++]=255&u,r<t.length&&(t[r++]=u>>8&255),r<t.length&&(t[r++]=u>>16&255),6===o?(r<t.length&&(t[r++]=u>>24&255),n=0,o=0):(n=u>>>24,o+=2)}if(r<t.length){t[r++]=n;while(r<t.length)t[r++]=0}},o.prototype._toArrayLikeBE=function(t,e){for(var r=t.length-1,n=0,i=0,o=0;i<this.length;i++){var u=this.words[i]<<o|n;t[r--]=255&u,r>=0&&(t[r--]=u>>8&255),r>=0&&(t[r--]=u>>16&255),6===o?(r>=0&&(t[r--]=u>>24&255),n=0,o=0):(n=u>>>24,o+=2)}if(r>=0){t[r--]=n;while(r>=0)t[r--]=0}},Math.clz32?o.prototype._countBits=function(t){return 32-Math.clz32(t)}:o.prototype._countBits=function(t){var e=t,r=0;return e>=4096&&(r+=13,e>>>=13),e>=64&&(r+=7,e>>>=7),e>=8&&(r+=4,e>>>=4),e>=2&&(r+=2,e>>>=2),r+e},o.prototype._zeroBits=function(t){if(0===t)return 26;var e=t,r=0;return 0===(8191&e)&&(r+=13,e>>>=13),0===(127&e)&&(r+=7,e>>>=7),0===(15&e)&&(r+=4,e>>>=4),0===(3&e)&&(r+=2,e>>>=2),0===(1&e)&&r++,r},o.prototype.bitLength=function(){var t=this.words[this.length-1],e=this._countBits(t);return 26*(this.length-1)+e},o.prototype.zeroBits=function(){if(this.isZero())return 0;for(var t=0,e=0;e<this.length;e++){var r=this._zeroBits(this.words[e]);if(t+=r,26!==r)break}return t},o.prototype.byteLength=function(){return Math.ceil(this.bitLength()/8)},o.prototype.toTwos=function(t){return 0!==this.negative?this.abs().inotn(t).iaddn(1):this.clone()},o.prototype.fromTwos=function(t){return this.testn(t-1)?this.notn(t).iaddn(1).ineg():this.clone()},o.prototype.isNeg=function(){return 0!==this.negative},o.prototype.neg=function(){return this.clone().ineg()},o.prototype.ineg=function(){return this.isZero()||(this.negative^=1),this},o.prototype.iuor=function(t){while(this.length<t.length)this.words[this.length++]=0;for(var e=0;e<t.length;e++)this.words[e]=this.words[e]|t.words[e];return this._strip()},o.prototype.ior=function(t){return n(0===(this.negative|t.negative)),this.iuor(t)},o.prototype.or=function(t){return this.length>t.length?this.clone().ior(t):t.clone().ior(this)},o.prototype.uor=function(t){return this.length>t.length?this.clone().iuor(t):t.clone().iuor(this)},o.prototype.iuand=function(t){var e;e=this.length>t.length?t:this;for(var r=0;r<e.length;r++)this.words[r]=this.words[r]&t.words[r];return this.length=e.length,this._strip()},o.prototype.iand=function(t){return n(0===(this.negative|t.negative)),this.iuand(t)},o.prototype.and=function(t){return this.length>t.length?this.clone().iand(t):t.clone().iand(this)},o.prototype.uand=function(t){return this.length>t.length?this.clone().iuand(t):t.clone().iuand(this)},o.prototype.iuxor=function(t){var e,r;this.length>t.length?(e=this,r=t):(e=t,r=this);for(var n=0;n<r.length;n++)this.words[n]=e.words[n]^r.words[n];if(this!==e)for(;n<e.length;n++)this.words[n]=e.words[n];return this.length=e.length,this._strip()},o.prototype.ixor=function(t){return n(0===(this.negative|t.negative)),this.iuxor(t)},o.prototype.xor=function(t){return this.length>t.length?this.clone().ixor(t):t.clone().ixor(this)},o.prototype.uxor=function(t){return this.length>t.length?this.clone().iuxor(t):t.clone().iuxor(this)},o.prototype.inotn=function(t){n("number"===typeof t&&t>=0);var e=0|Math.ceil(t/26),r=t%26;this._expand(e),r>0&&e--;for(var i=0;i<e;i++)this.words[i]=67108863&~this.words[i];return r>0&&(this.words[i]=~this.words[i]&67108863>>26-r),this._strip()},o.prototype.notn=function(t){return this.clone().inotn(t)},o.prototype.setn=function(t,e){n("number"===typeof t&&t>=0);var r=t/26|0,i=t%26;return this._expand(r+1),this.words[r]=e?this.words[r]|1<<i:this.words[r]&~(1<<i),this._strip()},o.prototype.iadd=function(t){var e,r,n;if(0!==this.negative&&0===t.negative)return this.negative=0,e=this.isub(t),this.negative^=1,this._normSign();if(0===this.negative&&0!==t.negative)return t.negative=0,e=this.isub(t),t.negative=1,e._normSign();this.length>t.length?(r=this,n=t):(r=t,n=this);for(var i=0,o=0;o<n.length;o++)e=(0|r.words[o])+(0|n.words[o])+i,this.words[o]=67108863&e,i=e>>>26;for(;0!==i&&o<r.length;o++)e=(0|r.words[o])+i,this.words[o]=67108863&e,i=e>>>26;if(this.length=r.length,0!==i)this.words[this.length]=i,this.length++;else if(r!==this)for(;o<r.length;o++)this.words[o]=r.words[o];return this},o.prototype.add=function(t){var e;return 0!==t.negative&&0===this.negative?(t.negative=0,e=this.sub(t),t.negative^=1,e):0===t.negative&&0!==this.negative?(this.negative=0,e=t.sub(this),this.negative=1,e):this.length>t.length?this.clone().iadd(t):t.clone().iadd(this)},o.prototype.isub=function(t){if(0!==t.negative){t.negative=0;var e=this.iadd(t);return t.negative=1,e._normSign()}if(0!==this.negative)return this.negative=0,this.iadd(t),this.negative=1,this._normSign();var r,n,i=this.cmp(t);if(0===i)return this.negative=0,this.length=1,this.words[0]=0,this;i>0?(r=this,n=t):(r=t,n=this);for(var o=0,u=0;u<n.length;u++)e=(0|r.words[u])-(0|n.words[u])+o,o=e>>26,this.words[u]=67108863&e;for(;0!==o&&u<r.length;u++)e=(0|r.words[u])+o,o=e>>26,this.words[u]=67108863&e;if(0===o&&u<r.length&&r!==this)for(;u<r.length;u++)this.words[u]=r.words[u];return this.length=Math.max(this.length,u),r!==this&&(this.negative=1),this._strip()},o.prototype.sub=function(t){return this.clone().isub(t)};var y=function(t,e,r){var n,i,o,u=t.words,a=e.words,s=r.words,f=0,c=0|u[0],h=8191&c,l=c>>>13,d=0|u[1],p=8191&d,b=d>>>13,g=0|u[2],m=8191&g,y=g>>>13,v=0|u[3],w=8191&v,_=v>>>13,M=0|u[4],S=8191&M,A=M>>>13,E=0|u[5],k=8191&E,x=E>>>13,O=0|u[6],I=8191&O,R=O>>>13,j=0|u[7],B=8191&j,P=j>>>13,T=0|u[8],z=8191&T,N=T>>>13,L=0|u[9],C=8191&L,q=L>>>13,U=0|a[0],D=8191&U,F=U>>>13,K=0|a[1],H=8191&K,W=K>>>13,V=0|a[2],$=8191&V,G=V>>>13,Z=0|a[3],Y=8191&Z,J=Z>>>13,X=0|a[4],Q=8191&X,tt=X>>>13,et=0|a[5],rt=8191&et,nt=et>>>13,it=0|a[6],ot=8191&it,ut=it>>>13,at=0|a[7],st=8191&at,ft=at>>>13,ct=0|a[8],ht=8191&ct,lt=ct>>>13,dt=0|a[9],pt=8191&dt,bt=dt>>>13;r.negative=t.negative^e.negative,r.length=19,n=Math.imul(h,D),i=Math.imul(h,F),i=i+Math.imul(l,D)|0,o=Math.imul(l,F);var gt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(gt>>>26)|0,gt&=67108863,n=Math.imul(p,D),i=Math.imul(p,F),i=i+Math.imul(b,D)|0,o=Math.imul(b,F),n=n+Math.imul(h,H)|0,i=i+Math.imul(h,W)|0,i=i+Math.imul(l,H)|0,o=o+Math.imul(l,W)|0;var mt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(mt>>>26)|0,mt&=67108863,n=Math.imul(m,D),i=Math.imul(m,F),i=i+Math.imul(y,D)|0,o=Math.imul(y,F),n=n+Math.imul(p,H)|0,i=i+Math.imul(p,W)|0,i=i+Math.imul(b,H)|0,o=o+Math.imul(b,W)|0,n=n+Math.imul(h,$)|0,i=i+Math.imul(h,G)|0,i=i+Math.imul(l,$)|0,o=o+Math.imul(l,G)|0;var yt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(yt>>>26)|0,yt&=67108863,n=Math.imul(w,D),i=Math.imul(w,F),i=i+Math.imul(_,D)|0,o=Math.imul(_,F),n=n+Math.imul(m,H)|0,i=i+Math.imul(m,W)|0,i=i+Math.imul(y,H)|0,o=o+Math.imul(y,W)|0,n=n+Math.imul(p,$)|0,i=i+Math.imul(p,G)|0,i=i+Math.imul(b,$)|0,o=o+Math.imul(b,G)|0,n=n+Math.imul(h,Y)|0,i=i+Math.imul(h,J)|0,i=i+Math.imul(l,Y)|0,o=o+Math.imul(l,J)|0;var 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wt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(k,D),i=Math.imul(k,F),i=i+Math.imul(x,D)|0,o=Math.imul(x,F),n=n+Math.imul(S,H)|0,i=i+Math.imul(S,W)|0,i=i+Math.imul(A,H)|0,o=o+Math.imul(A,W)|0,n=n+Math.imul(w,$)|0,i=i+Math.imul(w,G)|0,i=i+Math.imul(_,$)|0,o=o+Math.imul(_,G)|0,n=n+Math.imul(m,Y)|0,i=i+Math.imul(m,J)|0,i=i+Math.imul(y,Y)|0,o=o+Math.imul(y,J)|0,n=n+Math.imul(p,Q)|0,i=i+Math.imul(p,tt)|0,i=i+Math.imul(b,Q)|0,o=o+Math.imul(b,tt)|0,n=n+Math.imul(h,rt)|0,i=i+Math.imul(h,nt)|0,i=i+Math.imul(l,rt)|0,o=o+Math.imul(l,nt)|0;var _t=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(I,D),i=Math.imul(I,F),i=i+Math.imul(R,D)|0,o=Math.imul(R,F),n=n+Math.imul(k,H)|0,i=i+Math.imul(k,W)|0,i=i+Math.imul(x,H)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,$)|0,i=i+Math.imul(S,G)|0,i=i+Math.imul(A,$)|0,o=o+Math.imul(A,G)|0,n=n+Math.imul(w,Y)|0,i=i+Math.imul(w,J)|0,i=i+Math.imul(_,Y)|0,o=o+Math.imul(_,J)|0,n=n+Math.imul(m,Q)|0,i=i+Math.imul(m,tt)|0,i=i+Math.imul(y,Q)|0,o=o+Math.imul(y,tt)|0,n=n+Math.imul(p,rt)|0,i=i+Math.imul(p,nt)|0,i=i+Math.imul(b,rt)|0,o=o+Math.imul(b,nt)|0,n=n+Math.imul(h,ot)|0,i=i+Math.imul(h,ut)|0,i=i+Math.imul(l,ot)|0,o=o+Math.imul(l,ut)|0;var Mt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(B,D),i=Math.imul(B,F),i=i+Math.imul(P,D)|0,o=Math.imul(P,F),n=n+Math.imul(I,H)|0,i=i+Math.imul(I,W)|0,i=i+Math.imul(R,H)|0,o=o+Math.imul(R,W)|0,n=n+Math.imul(k,$)|0,i=i+Math.imul(k,G)|0,i=i+Math.imul(x,$)|0,o=o+Math.imul(x,G)|0,n=n+Math.imul(S,Y)|0,i=i+Math.imul(S,J)|0,i=i+Math.imul(A,Y)|0,o=o+Math.imul(A,J)|0,n=n+Math.imul(w,Q)|0,i=i+Math.imul(w,tt)|0,i=i+Math.imul(_,Q)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(m,rt)|0,i=i+Math.imul(m,nt)|0,i=i+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0,n=n+Math.imul(p,ot)|0,i=i+Math.imul(p,ut)|0,i=i+Math.imul(b,ot)|0,o=o+Math.imul(b,ut)|0,n=n+Math.imul(h,st)|0,i=i+Math.imul(h,ft)|0,i=i+Math.imul(l,st)|0,o=o+Math.imul(l,ft)|0;var St=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(z,D),i=Math.imul(z,F),i=i+Math.imul(N,D)|0,o=Math.imul(N,F),n=n+Math.imul(B,H)|0,i=i+Math.imul(B,W)|0,i=i+Math.imul(P,H)|0,o=o+Math.imul(P,W)|0,n=n+Math.imul(I,$)|0,i=i+Math.imul(I,G)|0,i=i+Math.imul(R,$)|0,o=o+Math.imul(R,G)|0,n=n+Math.imul(k,Y)|0,i=i+Math.imul(k,J)|0,i=i+Math.imul(x,Y)|0,o=o+Math.imul(x,J)|0,n=n+Math.imul(S,Q)|0,i=i+Math.imul(S,tt)|0,i=i+Math.imul(A,Q)|0,o=o+Math.imul(A,tt)|0,n=n+Math.imul(w,rt)|0,i=i+Math.imul(w,nt)|0,i=i+Math.imul(_,rt)|0,o=o+Math.imul(_,nt)|0,n=n+Math.imul(m,ot)|0,i=i+Math.imul(m,ut)|0,i=i+Math.imul(y,ot)|0,o=o+Math.imul(y,ut)|0,n=n+Math.imul(p,st)|0,i=i+Math.imul(p,ft)|0,i=i+Math.imul(b,st)|0,o=o+Math.imul(b,ft)|0,n=n+Math.imul(h,ht)|0,i=i+Math.imul(h,lt)|0,i=i+Math.imul(l,ht)|0,o=o+Math.imul(l,lt)|0;var At=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,D),i=Math.imul(C,F),i=i+Math.imul(q,D)|0,o=Math.imul(q,F),n=n+Math.imul(z,H)|0,i=i+Math.imul(z,W)|0,i=i+Math.imul(N,H)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(B,$)|0,i=i+Math.imul(B,G)|0,i=i+Math.imul(P,$)|0,o=o+Math.imul(P,G)|0,n=n+Math.imul(I,Y)|0,i=i+Math.imul(I,J)|0,i=i+Math.imul(R,Y)|0,o=o+Math.imul(R,J)|0,n=n+Math.imul(k,Q)|0,i=i+Math.imul(k,tt)|0,i=i+Math.imul(x,Q)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=i+Math.imul(S,nt)|0,i=i+Math.imul(A,rt)|0,o=o+Math.imul(A,nt)|0,n=n+Math.imul(w,ot)|0,i=i+Math.imul(w,ut)|0,i=i+Math.imul(_,ot)|0,o=o+Math.imul(_,ut)|0,n=n+Math.imul(m,st)|0,i=i+Math.imul(m,ft)|0,i=i+Math.imul(y,st)|0,o=o+Math.imul(y,ft)|0,n=n+Math.imul(p,ht)|0,i=i+Math.imul(p,lt)|0,i=i+Math.imul(b,ht)|0,o=o+Math.imul(b,lt)|0,n=n+Math.imul(h,pt)|0,i=i+Math.imul(h,bt)|0,i=i+Math.imul(l,pt)|0,o=o+Math.imul(l,bt)|0;var Et=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,H),i=Math.imul(C,W),i=i+Math.imul(q,H)|0,o=Math.imul(q,W),n=n+Math.imul(z,$)|0,i=i+Math.imul(z,G)|0,i=i+Math.imul(N,$)|0,o=o+Math.imul(N,G)|0,n=n+Math.imul(B,Y)|0,i=i+Math.imul(B,J)|0,i=i+Math.imul(P,Y)|0,o=o+Math.imul(P,J)|0,n=n+Math.imul(I,Q)|0,i=i+Math.imul(I,tt)|0,i=i+Math.imul(R,Q)|0,o=o+Math.imul(R,tt)|0,n=n+Math.imul(k,rt)|0,i=i+Math.imul(k,nt)|0,i=i+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=i+Math.imul(S,ut)|0,i=i+Math.imul(A,ot)|0,o=o+Math.imul(A,ut)|0,n=n+Math.imul(w,st)|0,i=i+Math.imul(w,ft)|0,i=i+Math.imul(_,st)|0,o=o+Math.imul(_,ft)|0,n=n+Math.imul(m,ht)|0,i=i+Math.imul(m,lt)|0,i=i+Math.imul(y,ht)|0,o=o+Math.imul(y,lt)|0,n=n+Math.imul(p,pt)|0,i=i+Math.imul(p,bt)|0,i=i+Math.imul(b,pt)|0,o=o+Math.imul(b,bt)|0;var kt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,$),i=Math.imul(C,G),i=i+Math.imul(q,$)|0,o=Math.imul(q,G),n=n+Math.imul(z,Y)|0,i=i+Math.imul(z,J)|0,i=i+Math.imul(N,Y)|0,o=o+Math.imul(N,J)|0,n=n+Math.imul(B,Q)|0,i=i+Math.imul(B,tt)|0,i=i+Math.imul(P,Q)|0,o=o+Math.imul(P,tt)|0,n=n+Math.imul(I,rt)|0,i=i+Math.imul(I,nt)|0,i=i+Math.imul(R,rt)|0,o=o+Math.imul(R,nt)|0,n=n+Math.imul(k,ot)|0,i=i+Math.imul(k,ut)|0,i=i+Math.imul(x,ot)|0,o=o+Math.imul(x,ut)|0,n=n+Math.imul(S,st)|0,i=i+Math.imul(S,ft)|0,i=i+Math.imul(A,st)|0,o=o+Math.imul(A,ft)|0,n=n+Math.imul(w,ht)|0,i=i+Math.imul(w,lt)|0,i=i+Math.imul(_,ht)|0,o=o+Math.imul(_,lt)|0,n=n+Math.imul(m,pt)|0,i=i+Math.imul(m,bt)|0,i=i+Math.imul(y,pt)|0,o=o+Math.imul(y,bt)|0;var xt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=Math.imul(C,J),i=i+Math.imul(q,Y)|0,o=Math.imul(q,J),n=n+Math.imul(z,Q)|0,i=i+Math.imul(z,tt)|0,i=i+Math.imul(N,Q)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(B,rt)|0,i=i+Math.imul(B,nt)|0,i=i+Math.imul(P,rt)|0,o=o+Math.imul(P,nt)|0,n=n+Math.imul(I,ot)|0,i=i+Math.imul(I,ut)|0,i=i+Math.imul(R,ot)|0,o=o+Math.imul(R,ut)|0,n=n+Math.imul(k,st)|0,i=i+Math.imul(k,ft)|0,i=i+Math.imul(x,st)|0,o=o+Math.imul(x,ft)|0,n=n+Math.imul(S,ht)|0,i=i+Math.imul(S,lt)|0,i=i+Math.imul(A,ht)|0,o=o+Math.imul(A,lt)|0,n=n+Math.imul(w,pt)|0,i=i+Math.imul(w,bt)|0,i=i+Math.imul(_,pt)|0,o=o+Math.imul(_,bt)|0;var Ot=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,Q),i=Math.imul(C,tt),i=i+Math.imul(q,Q)|0,o=Math.imul(q,tt),n=n+Math.imul(z,rt)|0,i=i+Math.imul(z,nt)|0,i=i+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(B,ot)|0,i=i+Math.imul(B,ut)|0,i=i+Math.imul(P,ot)|0,o=o+Math.imul(P,ut)|0,n=n+Math.imul(I,st)|0,i=i+Math.imul(I,ft)|0,i=i+Math.imul(R,st)|0,o=o+Math.imul(R,ft)|0,n=n+Math.imul(k,ht)|0,i=i+Math.imul(k,lt)|0,i=i+Math.imul(x,ht)|0,o=o+Math.imul(x,lt)|0,n=n+Math.imul(S,pt)|0,i=i+Math.imul(S,bt)|0,i=i+Math.imul(A,pt)|0,o=o+Math.imul(A,bt)|0;var It=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(It>>>26)|0,It&=67108863,n=Math.imul(C,rt),i=Math.imul(C,nt),i=i+Math.imul(q,rt)|0,o=Math.imul(q,nt),n=n+Math.imul(z,ot)|0,i=i+Math.imul(z,ut)|0,i=i+Math.imul(N,ot)|0,o=o+Math.imul(N,ut)|0,n=n+Math.imul(B,st)|0,i=i+Math.imul(B,ft)|0,i=i+Math.imul(P,st)|0,o=o+Math.imul(P,ft)|0,n=n+Math.imul(I,ht)|0,i=i+Math.imul(I,lt)|0,i=i+Math.imul(R,ht)|0,o=o+Math.imul(R,lt)|0,n=n+Math.imul(k,pt)|0,i=i+Math.imul(k,bt)|0,i=i+Math.imul(x,pt)|0,o=o+Math.imul(x,bt)|0;var Rt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ot),i=Math.imul(C,ut),i=i+Math.imul(q,ot)|0,o=Math.imul(q,ut),n=n+Math.imul(z,st)|0,i=i+Math.imul(z,ft)|0,i=i+Math.imul(N,st)|0,o=o+Math.imul(N,ft)|0,n=n+Math.imul(B,ht)|0,i=i+Math.imul(B,lt)|0,i=i+Math.imul(P,ht)|0,o=o+Math.imul(P,lt)|0,n=n+Math.imul(I,pt)|0,i=i+Math.imul(I,bt)|0,i=i+Math.imul(R,pt)|0,o=o+Math.imul(R,bt)|0;var jt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,st),i=Math.imul(C,ft),i=i+Math.imul(q,st)|0,o=Math.imul(q,ft),n=n+Math.imul(z,ht)|0,i=i+Math.imul(z,lt)|0,i=i+Math.imul(N,ht)|0,o=o+Math.imul(N,lt)|0,n=n+Math.imul(B,pt)|0,i=i+Math.imul(B,bt)|0,i=i+Math.imul(P,pt)|0,o=o+Math.imul(P,bt)|0;var Bt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,n=Math.imul(C,ht),i=Math.imul(C,lt),i=i+Math.imul(q,ht)|0,o=Math.imul(q,lt),n=n+Math.imul(z,pt)|0,i=i+Math.imul(z,bt)|0,i=i+Math.imul(N,pt)|0,o=o+Math.imul(N,bt)|0;var Pt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,pt),i=Math.imul(C,bt),i=i+Math.imul(q,pt)|0,o=Math.imul(q,bt);var Tt=(f+n|0)+((8191&i)<<13)|0;return f=(o+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,s[0]=gt,s[1]=mt,s[2]=yt,s[3]=vt,s[4]=wt,s[5]=_t,s[6]=Mt,s[7]=St,s[8]=At,s[9]=Et,s[10]=kt,s[11]=xt,s[12]=Ot,s[13]=It,s[14]=Rt,s[15]=jt,s[16]=Bt,s[17]=Pt,s[18]=Tt,0!==f&&(s[19]=f,r.length++),r};function v(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var u=i;i=0;for(var a=67108863&n,s=Math.min(o,e.length-1),f=Math.max(0,o-t.length+1);f<=s;f++){var c=o-f,h=0|t.words[c],l=0|e.words[f],d=h*l,p=67108863&d;u=u+(d/67108864|0)|0,p=p+a|0,a=67108863&p,u=u+(p>>>26)|0,i+=u>>>26,u&=67108863}r.words[o]=a,n=u,u=i}return 0!==n?r.words[o]=n:r.length--,r._strip()}function w(t,e,r){return v(t,e,r)}function _(t,e){this.x=t,this.y=e}Math.imul||(y=m),o.prototype.mulTo=function(t,e){var r,n=this.length+t.length;return r=10===this.length&&10===t.length?y(this,t,e):n<63?m(this,t,e):n<1024?v(this,t,e):w(this,t,e),r},_.prototype.makeRBT=function(t){for(var e=new Array(t),r=o.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},_.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},_.prototype.permute=function(t,e,r,n,i,o){for(var u=0;u<o;u++)n[u]=e[t[u]],i[u]=r[t[u]]},_.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var u=1;u<i;u<<=1)for(var a=u<<1,s=Math.cos(2*Math.PI/a),f=Math.sin(2*Math.PI/a),c=0;c<i;c+=a)for(var h=s,l=f,d=0;d<u;d++){var p=r[c+d],b=n[c+d],g=r[c+d+u],m=n[c+d+u],y=h*g-l*m;m=h*m+l*g,g=y,r[c+d]=p+g,n[c+d]=b+m,r[c+d+u]=p-g,n[c+d+u]=b-m,d!==a&&(y=s*h-f*l,l=s*l+f*h,h=y)}},_.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},_.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},_.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},_.prototype.convert13b=function(t,e,r,i){for(var o=0,u=0;u<e;u++)o+=0|t[u],r[2*u]=8191&o,o>>>=13,r[2*u+1]=8191&o,o>>>=13;for(u=2*e;u<i;++u)r[u]=0;n(0===o),n(0===(-8192&o))},_.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},_.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),u=new Array(n),a=new Array(n),s=new Array(n),f=new Array(n),c=new Array(n),h=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,u,n),this.convert13b(e.words,e.length,f,n),this.transform(u,o,a,s,n,i),this.transform(f,o,c,h,n,i);for(var d=0;d<n;d++){var p=a[d]*c[d]-s[d]*h[d];s[d]=a[d]*h[d]+s[d]*c[d],a[d]=p}return this.conjugate(a,s,n),this.transform(a,s,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r._strip()},o.prototype.mul=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},o.prototype.mulf=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),w(this,t,e)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){var e=t<0;e&&(t=-t),n("number"===typeof t),n(t<67108864);for(var r=0,i=0;i<this.length;i++){var o=(0|this.words[i])*t,u=(67108863&o)+(67108863&r);r>>=26,r+=o/67108864|0,r+=u>>>26,this.words[i]=67108863&u}return 0!==r&&(this.words[i]=r,this.length++),e?this.ineg():this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var e=g(t);if(0===e.length)return new o(1);for(var r=this,n=0;n<e.length;n++,r=r.sqr())if(0!==e[n])break;if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},o.prototype.iushln=function(t){n("number"===typeof t&&t>=0);var e,r=t%26,i=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var u=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,s=(0|this.words[e])-a<<r;this.words[e]=s|u,u=a>>>26-r}u&&(this.words[e]=u,this.length++)}if(0!==i){for(e=this.length-1;e>=0;e--)this.words[e+i]=this.words[e];for(e=0;e<i;e++)this.words[e]=0;this.length+=i}return this._strip()},o.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},o.prototype.iushrn=function(t,e,r){var i;n("number"===typeof t&&t>=0),i=e?(e-e%26)/26:0;var o=t%26,u=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,s=r;if(i-=u,i=Math.max(0,i),s){for(var f=0;f<u;f++)s.words[f]=this.words[f];s.length=u}if(0===u);else if(this.length>u)for(this.length-=u,f=0;f<this.length;f++)this.words[f]=this.words[f+u];else this.words[0]=0,this.length=1;var c=0;for(f=this.length-1;f>=0&&(0!==c||f>=i);f--){var h=0|this.words[f];this.words[f]=c<<26-o|h>>>o,c=h&a}return s&&0!==c&&(s.words[s.length++]=c),0===this.length&&(this.words[0]=0,this.length=1),this._strip()},o.prototype.ishrn=function(t,e,r){return n(0===this.negative),this.iushrn(t,e,r)},o.prototype.shln=function(t){return this.clone().ishln(t)},o.prototype.ushln=function(t){return this.clone().iushln(t)},o.prototype.shrn=function(t){return this.clone().ishrn(t)},o.prototype.ushrn=function(t){return this.clone().iushrn(t)},o.prototype.testn=function(t){n("number"===typeof t&&t>=0);var e=t%26,r=(t-e)/26,i=1<<e;if(this.length<=r)return!1;var o=this.words[r];return!!(o&i)},o.prototype.imaskn=function(t){n("number"===typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(n(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var i=67108863^67108863>>>e<<e;this.words[this.length-1]&=i}return this._strip()},o.prototype.maskn=function(t){return this.clone().imaskn(t)},o.prototype.iaddn=function(t){return n("number"===typeof t),n(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<=t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},o.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},o.prototype.isubn=function(t){if(n("number"===typeof t),n(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this._strip()},o.prototype.addn=function(t){return this.clone().iaddn(t)},o.prototype.subn=function(t){return this.clone().isubn(t)},o.prototype.iabs=function(){return this.negative=0,this},o.prototype.abs=function(){return this.clone().iabs()},o.prototype._ishlnsubmul=function(t,e,r){var i,o,u=t.length+r;this._expand(u);var a=0;for(i=0;i<t.length;i++){o=(0|this.words[i+r])+a;var s=(0|t.words[i])*e;o-=67108863&s,a=(o>>26)-(s/67108864|0),this.words[i+r]=67108863&o}for(;i<this.length-r;i++)o=(0|this.words[i+r])+a,a=o>>26,this.words[i+r]=67108863&o;if(0===a)return this._strip();for(n(-1===a),a=0,i=0;i<this.length;i++)o=-(0|this.words[i])+a,a=o>>26,this.words[i]=67108863&o;return this.negative=1,this._strip()},o.prototype._wordDiv=function(t,e){var r=this.length-t.length,n=this.clone(),i=t,u=0|i.words[i.length-1],a=this._countBits(u);r=26-a,0!==r&&(i=i.ushln(r),n.iushln(r),u=0|i.words[i.length-1]);var s,f=n.length-i.length;if("mod"!==e){s=new o(null),s.length=f+1,s.words=new Array(s.length);for(var c=0;c<s.length;c++)s.words[c]=0}var h=n.clone()._ishlnsubmul(i,1,f);0===h.negative&&(n=h,s&&(s.words[f]=1));for(var l=f-1;l>=0;l--){var d=67108864*(0|n.words[i.length+l])+(0|n.words[i.length+l-1]);d=Math.min(d/u|0,67108863),n._ishlnsubmul(i,d,l);while(0!==n.negative)d--,n.negative=0,n._ishlnsubmul(i,1,l),n.isZero()||(n.negative^=1);s&&(s.words[l]=d)}return s&&s._strip(),n._strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:s||null,mod:n}},o.prototype.divmod=function(t,e,r){return n(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(i=a.div.neg()),"div"!==e&&(u=a.mod.neg(),r&&0!==u.negative&&u.iadd(t)),{div:i,mod:u}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(i=a.div.neg()),{div:i,mod:a.mod}):0!==(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(u=a.mod.neg(),r&&0!==u.negative&&u.isub(t)),{div:a.div,mod:u}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new o(this.modrn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modrn(t.words[0]))}:this._wordDiv(t,e);var i,u,a},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},o.prototype.modrn=function(t){var e=t<0;e&&(t=-t),n(t<=67108863);for(var r=(1<<26)%t,i=0,o=this.length-1;o>=0;o--)i=(r*i+(0|this.words[o]))%t;return e?-i:i},o.prototype.modn=function(t){return this.modrn(t)},o.prototype.idivn=function(t){var e=t<0;e&&(t=-t),n(t<=67108863);for(var r=0,i=this.length-1;i>=0;i--){var o=(0|this.words[i])+67108864*r;this.words[i]=o/t|0,r=o%t}return this._strip(),e?this.ineg():this},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){n(0===t.negative),n(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();var i=new o(1),u=new o(0),a=new o(0),s=new o(1),f=0;while(e.isEven()&&r.isEven())e.iushrn(1),r.iushrn(1),++f;var c=r.clone(),h=e.clone();while(!e.isZero()){for(var l=0,d=1;0===(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0){e.iushrn(l);while(l-- >0)(i.isOdd()||u.isOdd())&&(i.iadd(c),u.isub(h)),i.iushrn(1),u.iushrn(1)}for(var p=0,b=1;0===(r.words[0]&b)&&p<26;++p,b<<=1);if(p>0){r.iushrn(p);while(p-- >0)(a.isOdd()||s.isOdd())&&(a.iadd(c),s.isub(h)),a.iushrn(1),s.iushrn(1)}e.cmp(r)>=0?(e.isub(r),i.isub(a),u.isub(s)):(r.isub(e),a.isub(i),s.isub(u))}return{a:a,b:s,gcd:r.iushln(f)}},o.prototype._invmp=function(t){n(0===t.negative),n(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();var i,u=new o(1),a=new o(0),s=r.clone();while(e.cmpn(1)>0&&r.cmpn(1)>0){for(var f=0,c=1;0===(e.words[0]&c)&&f<26;++f,c<<=1);if(f>0){e.iushrn(f);while(f-- >0)u.isOdd()&&u.iadd(s),u.iushrn(1)}for(var h=0,l=1;0===(r.words[0]&l)&&h<26;++h,l<<=1);if(h>0){r.iushrn(h);while(h-- >0)a.isOdd()&&a.iadd(s),a.iushrn(1)}e.cmp(r)>=0?(e.isub(r),u.isub(a)):(r.isub(e),a.isub(u))}return i=0===e.cmpn(1)?u:a,i.cmpn(0)<0&&i.iadd(t),i},o.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);do{while(e.isEven())e.iushrn(1);while(r.isEven())r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}while(1);return r.iushln(n)},o.prototype.invm=function(t){return this.egcd(t).a.umod(t)},o.prototype.isEven=function(){return 0===(1&this.words[0])},o.prototype.isOdd=function(){return 1===(1&this.words[0])},o.prototype.andln=function(t){return this.words[0]&t},o.prototype.bincn=function(t){n("number"===typeof t);var e=t%26,r=(t-e)/26,i=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=i,this;for(var o=i,u=r;0!==o&&u<this.length;u++){var a=0|this.words[u];a+=o,o=a>>>26,a&=67108863,this.words[u]=a}return 0!==o&&(this.words[u]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this._strip(),this.length>1)e=1;else{r&&(t=-t),n(t<=67108863,"Number is too big");var i=0|this.words[0];e=i===t?0:i<t?-1:1}return 0!==this.negative?0|-e:e},o.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},o.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},o.prototype.gtn=function(t){return 1===this.cmpn(t)},o.prototype.gt=function(t){return 1===this.cmp(t)},o.prototype.gten=function(t){return this.cmpn(t)>=0},o.prototype.gte=function(t){return this.cmp(t)>=0},o.prototype.ltn=function(t){return-1===this.cmpn(t)},o.prototype.lt=function(t){return-1===this.cmp(t)},o.prototype.lten=function(t){return this.cmpn(t)<=0},o.prototype.lte=function(t){return this.cmp(t)<=0},o.prototype.eqn=function(t){return 0===this.cmpn(t)},o.prototype.eq=function(t){return 0===this.cmp(t)},o.red=function(t){return new O(t)},o.prototype.toRed=function(t){return n(!this.red,"Already a number in reduction context"),n(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},o.prototype.fromRed=function(){return n(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},o.prototype._forceRed=function(t){return this.red=t,this},o.prototype.forceRed=function(t){return n(!this.red,"Already a number in reduction context"),this._forceRed(t)},o.prototype.redAdd=function(t){return n(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},o.prototype.redIAdd=function(t){return n(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},o.prototype.redSub=function(t){return n(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},o.prototype.redISub=function(t){return n(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},o.prototype.redShl=function(t){return n(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},o.prototype.redMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},o.prototype.redIMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},o.prototype.redSqr=function(){return n(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},o.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},o.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},o.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},o.prototype.redNeg=function(){return n(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},o.prototype.redPow=function(t){return n(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var M={k256:null,p224:null,p192:null,p25519:null};function S(t,e){this.name=t,this.p=new o(e,16),this.n=this.p.bitLength(),this.k=new o(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function A(){S.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function E(){S.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function k(){S.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function x(){S.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function O(t){if("string"===typeof t){var e=o._prime(t);this.m=e.p,this.prime=e}else n(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function I(t){O.call(this,t),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new o(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}S.prototype._tmp=function(){var t=new o(null);return t.words=new Array(Math.ceil(this.n/13)),t},S.prototype.ireduce=function(t){var e,r=t;do{this.split(r,this.tmp),r=this.imulK(r),r=r.iadd(this.tmp),e=r.bitLength()}while(e>this.n);var n=e<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},S.prototype.split=function(t,e){t.iushrn(this.n,0,e)},S.prototype.imulK=function(t){return t.imul(this.k)},i(A,S),A.prototype.split=function(t,e){for(var r=4194303,n=Math.min(t.length,9),i=0;i<n;i++)e.words[i]=t.words[i];if(e.length=n,t.length<=9)return t.words[0]=0,void(t.length=1);var o=t.words[9];for(e.words[e.length++]=o&r,i=10;i<t.length;i++){var u=0|t.words[i];t.words[i-10]=(u&r)<<4|o>>>22,o=u}o>>>=22,t.words[i-10]=o,0===o&&t.length>10?t.length-=10:t.length-=9},A.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,r=0;r<t.length;r++){var n=0|t.words[r];e+=977*n,t.words[r]=67108863&e,e=64*n+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},i(E,S),i(k,S),i(x,S),x.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},o._prime=function(t){if(M[t])return M[t];var e;if("k256"===t)e=new A;else if("p224"===t)e=new E;else if("p192"===t)e=new k;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new x}return M[t]=e,e},O.prototype._verify1=function(t){n(0===t.negative,"red works only with positives"),n(t.red,"red works only with red numbers")},O.prototype._verify2=function(t,e){n(0===(t.negative|e.negative),"red works only with positives"),n(t.red&&t.red===e.red,"red works only with red numbers")},O.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):(c(t,t.umod(this.m)._forceRed(this)),t)},O.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},O.prototype.add=function(t,e){this._verify2(t,e);var r=t.add(e);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},O.prototype.iadd=function(t,e){this._verify2(t,e);var r=t.iadd(e);return r.cmp(this.m)>=0&&r.isub(this.m),r},O.prototype.sub=function(t,e){this._verify2(t,e);var r=t.sub(e);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},O.prototype.isub=function(t,e){this._verify2(t,e);var r=t.isub(e);return r.cmpn(0)<0&&r.iadd(this.m),r},O.prototype.shl=function(t,e){return this._verify1(t),this.imod(t.ushln(e))},O.prototype.imul=function(t,e){return this._verify2(t,e),this.imod(t.imul(e))},O.prototype.mul=function(t,e){return this._verify2(t,e),this.imod(t.mul(e))},O.prototype.isqr=function(t){return this.imul(t,t.clone())},O.prototype.sqr=function(t){return this.mul(t,t)},O.prototype.sqrt=function(t){if(t.isZero())return t.clone();var e=this.m.andln(3);if(n(e%2===1),3===e){var r=this.m.add(new o(1)).iushrn(2);return this.pow(t,r)}var i=this.m.subn(1),u=0;while(!i.isZero()&&0===i.andln(1))u++,i.iushrn(1);n(!i.isZero());var a=new o(1).toRed(this),s=a.redNeg(),f=this.m.subn(1).iushrn(1),c=this.m.bitLength();c=new o(2*c*c).toRed(this);while(0!==this.pow(c,f).cmp(s))c.redIAdd(s);var h=this.pow(c,i),l=this.pow(t,i.addn(1).iushrn(1)),d=this.pow(t,i),p=u;while(0!==d.cmp(a)){for(var b=d,g=0;0!==b.cmp(a);g++)b=b.redSqr();n(g<p);var m=this.pow(h,new o(1).iushln(p-g-1));l=l.redMul(m),h=m.redSqr(),d=d.redMul(h),p=g}return l},O.prototype.invm=function(t){var e=t._invmp(this.m);return 0!==e.negative?(e.negative=0,this.imod(e).redNeg()):this.imod(e)},O.prototype.pow=function(t,e){if(e.isZero())return new o(1).toRed(this);if(0===e.cmpn(1))return t.clone();var r=4,n=new Array(1<<r);n[0]=new o(1).toRed(this),n[1]=t;for(var i=2;i<n.length;i++)n[i]=this.mul(n[i-1],t);var u=n[0],a=0,s=0,f=e.bitLength()%26;for(0===f&&(f=26),i=e.length-1;i>=0;i--){for(var c=e.words[i],h=f-1;h>=0;h--){var 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n=r(1979),i=r(2068),o=r(96),u=r(7971);function a(t){o.call(this,"mont",t),this.a=new n(t.a,16).toRed(this.red),this.b=new n(t.b,16).toRed(this.red),this.i4=new n(4).toRed(this.red).redInvm(),this.two=new n(2).toRed(this.red),this.a24=this.i4.redMul(this.a.redAdd(this.two))}function s(t,e,r){o.BasePoint.call(this,t,"projective"),null===e&&null===r?(this.x=this.curve.one,this.z=this.curve.zero):(this.x=new n(e,16),this.z=new n(r,16),this.x.red||(this.x=this.x.toRed(this.curve.red)),this.z.red||(this.z=this.z.toRed(this.curve.red)))}i(a,o),t.exports=a,a.prototype.validate=function(t){var e=t.normalize().x,r=e.redSqr(),n=r.redMul(e).redAdd(r.redMul(this.a)).redAdd(e),i=n.redSqrt();return 0===i.redSqr().cmp(n)},i(s,o.BasePoint),a.prototype.decodePoint=function(t,e){return this.point(u.toArray(t,e),1)},a.prototype.point=function(t,e){return new s(this,t,e)},a.prototype.pointFromJSON=function(t){return s.fromJSON(this,t)},s.prototype.precompute=function(){},s.prototype._encode=function(){return this.getX().toArray("be",this.curve.p.byteLength())},s.fromJSON=function(t,e){return new s(t,e[0],e[1]||t.one)},s.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)+">"},s.prototype.isInfinity=function(){return 0===this.z.cmpn(0)},s.prototype.dbl=function(){var t=this.x.redAdd(this.z),e=t.redSqr(),r=this.x.redSub(this.z),n=r.redSqr(),i=e.redSub(n),o=e.redMul(n),u=i.redMul(n.redAdd(this.curve.a24.redMul(i)));return this.curve.point(o,u)},s.prototype.add=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.diffAdd=function(t,e){var r=this.x.redAdd(this.z),n=this.x.redSub(this.z),i=t.x.redAdd(t.z),o=t.x.redSub(t.z),u=o.redMul(r),a=i.redMul(n),s=e.z.redMul(u.redAdd(a).redSqr()),f=e.x.redMul(u.redISub(a).redSqr());return this.curve.point(s,f)},s.prototype.mul=function(t){for(var e=t.clone(),r=this,n=this.curve.point(null,null),i=this,o=[];0!==e.cmpn(0);e.iushrn(1))o.push(e.andln(1));for(var u=o.length-1;u>=0;u--)0===o[u]?(r=r.diffAdd(n,i),n=n.dbl()):(n=r.diffAdd(n,i),r=r.dbl());return n},s.prototype.mulAdd=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.jumlAdd=function(){throw new Error("Not supported on Montgomery curve")},s.prototype.eq=function(t){return 0===this.getX().cmp(t.getX())},s.prototype.normalize=function(){return this.x=this.x.redMul(this.z.redInvm()),this.z=this.curve.one,this},s.prototype.getX=function(){return this.normalize(),this.x.fromRed()}},7855:function(t,e,r){"use strict";var n=r(7971),i=r(1979),o=r(2068),u=r(96),a=n.assert;function s(t){u.call(this,"short",t),this.a=new i(t.a,16).toRed(this.red),this.b=new i(t.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(t),this._endoWnafT1=new Array(4),this._endoWnafT2=new Array(4)}function f(t,e,r,n){u.BasePoint.call(this,t,"affine"),null===e&&null===r?(this.x=null,this.y=null,this.inf=!0):(this.x=new i(e,16),this.y=new i(r,16),n&&(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 c(t,e,r,n){u.BasePoint.call(this,t,"jacobian"),null===e&&null===r&&null===n?(this.x=this.curve.one,this.y=this.curve.one,this.z=new i(0)):(this.x=new i(e,16),this.y=new i(r,16),this.z=new i(n,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}o(s,u),t.exports=s,s.prototype._getEndomorphism=function(t){if(this.zeroA&&this.g&&this.n&&1===this.p.modn(3)){var e,r,n;if(t.beta)e=new i(t.beta,16).toRed(this.red);else{var o=this._getEndoRoots(this.p);e=o[0].cmp(o[1])<0?o[0]:o[1],e=e.toRed(this.red)}if(t.lambda)r=new i(t.lambda,16);else{var u=this._getEndoRoots(this.n);0===this.g.mul(u[0]).x.cmp(this.g.x.redMul(e))?r=u[0]:(r=u[1],a(0===this.g.mul(r).x.cmp(this.g.x.redMul(e))))}return n=t.basis?t.basis.map((function(t){return{a:new i(t.a,16),b:new i(t.b,16)}})):this._getEndoBasis(r),{beta:e,lambda:r,basis:n}}},s.prototype._getEndoRoots=function(t){var e=t===this.p?this.red:i.mont(t),r=new i(2).toRed(e).redInvm(),n=r.redNeg(),o=new i(3).toRed(e).redNeg().redSqrt().redMul(r),u=n.redAdd(o).fromRed(),a=n.redSub(o).fromRed();return[u,a]},s.prototype._getEndoBasis=function(t){var e,r,n,o,u,a,s,f,c,h=this.n.ushrn(Math.floor(this.n.bitLength()/2)),l=t,d=this.n.clone(),p=new i(1),b=new i(0),g=new i(0),m=new i(1),y=0;while(0!==l.cmpn(0)){var v=d.div(l);f=d.sub(v.mul(l)),c=g.sub(v.mul(p));var w=m.sub(v.mul(b));if(!n&&f.cmp(h)<0)e=s.neg(),r=p,n=f.neg(),o=c;else if(n&&2===++y)break;s=f,d=l,l=f,g=p,p=c,m=b,b=w}u=f.neg(),a=c;var _=n.sqr().add(o.sqr()),M=u.sqr().add(a.sqr());return M.cmp(_)>=0&&(u=e,a=r),n.negative&&(n=n.neg(),o=o.neg()),u.negative&&(u=u.neg(),a=a.neg()),[{a:n,b:o},{a:u,b:a}]},s.prototype._endoSplit=function(t){var e=this.endo.basis,r=e[0],n=e[1],i=n.b.mul(t).divRound(this.n),o=r.b.neg().mul(t).divRound(this.n),u=i.mul(r.a),a=o.mul(n.a),s=i.mul(r.b),f=o.mul(n.b),c=t.sub(u).sub(a),h=s.add(f).neg();return{k1:c,k2:h}},s.prototype.pointFromX=function(t,e){t=new i(t,16),t.red||(t=t.toRed(this.red));var r=t.redSqr().redMul(t).redIAdd(t.redMul(this.a)).redIAdd(this.b),n=r.redSqrt();if(0!==n.redSqr().redSub(r).cmp(this.zero))throw new Error("invalid point");var o=n.fromRed().isOdd();return(e&&!o||!e&&o)&&(n=n.redNeg()),this.point(t,n)},s.prototype.validate=function(t){if(t.inf)return!0;var e=t.x,r=t.y,n=this.a.redMul(e),i=e.redSqr().redMul(e).redIAdd(n).redIAdd(this.b);return 0===r.redSqr().redISub(i).cmpn(0)},s.prototype._endoWnafMulAdd=function(t,e,r){for(var n=this._endoWnafT1,i=this._endoWnafT2,o=0;o<t.length;o++){var u=this._endoSplit(e[o]),a=t[o],s=a._getBeta();u.k1.negative&&(u.k1.ineg(),a=a.neg(!0)),u.k2.negative&&(u.k2.ineg(),s=s.neg(!0)),n[2*o]=a,n[2*o+1]=s,i[2*o]=u.k1,i[2*o+1]=u.k2}for(var f=this._wnafMulAdd(1,n,i,2*o,r),c=0;c<2*o;c++)n[c]=null,i[c]=null;return f},o(f,u.BasePoint),s.prototype.point=function(t,e,r){return new f(this,t,e,r)},s.prototype.pointFromJSON=function(t,e){return f.fromJSON(this,t,e)},f.prototype._getBeta=function(){if(this.curve.endo){var t=this.precomputed;if(t&&t.beta)return t.beta;var e=this.curve.point(this.x.redMul(this.curve.endo.beta),this.y);if(t){var r=this.curve,n=function(t){return r.point(t.x.redMul(r.endo.beta),t.y)};t.beta=e,e.precomputed={beta:null,naf:t.naf&&{wnd:t.naf.wnd,points:t.naf.points.map(n)},doubles:t.doubles&&{step:t.doubles.step,points:t.doubles.points.map(n)}}}return e}},f.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]},f.fromJSON=function(t,e,r){"string"===typeof e&&(e=JSON.parse(e));var n=t.point(e[0],e[1],r);if(!e[2])return n;function i(e){return t.point(e[0],e[1],r)}var o=e[2];return n.precomputed={beta:null,doubles:o.doubles&&{step:o.doubles.step,points:[n].concat(o.doubles.points.map(i))},naf:o.naf&&{wnd:o.naf.wnd,points:[n].concat(o.naf.points.map(i))}},n},f.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)+">"},f.prototype.isInfinity=function(){return this.inf},f.prototype.add=function(t){if(this.inf)return t;if(t.inf)return this;if(this.eq(t))return this.dbl();if(this.neg().eq(t))return this.curve.point(null,null);if(0===this.x.cmp(t.x))return this.curve.point(null,null);var e=this.y.redSub(t.y);0!==e.cmpn(0)&&(e=e.redMul(this.x.redSub(t.x).redInvm()));var r=e.redSqr().redISub(this.x).redISub(t.x),n=e.redMul(this.x.redSub(r)).redISub(this.y);return this.curve.point(r,n)},f.prototype.dbl=function(){if(this.inf)return this;var t=this.y.redAdd(this.y);if(0===t.cmpn(0))return this.curve.point(null,null);var e=this.curve.a,r=this.x.redSqr(),n=t.redInvm(),i=r.redAdd(r).redIAdd(r).redIAdd(e).redMul(n),o=i.redSqr().redISub(this.x.redAdd(this.x)),u=i.redMul(this.x.redSub(o)).redISub(this.y);return this.curve.point(o,u)},f.prototype.getX=function(){return this.x.fromRed()},f.prototype.getY=function(){return this.y.fromRed()},f.prototype.mul=function(t){return t=new i(t,16),this.isInfinity()?this:this._hasDoubles(t)?this.curve._fixedNafMul(this,t):this.curve.endo?this.curve._endoWnafMulAdd([this],[t]):this.curve._wnafMul(this,t)},f.prototype.mulAdd=function(t,e,r){var n=[this,e],i=[t,r];return this.curve.endo?this.curve._endoWnafMulAdd(n,i):this.curve._wnafMulAdd(1,n,i,2)},f.prototype.jmulAdd=function(t,e,r){var n=[this,e],i=[t,r];return this.curve.endo?this.curve._endoWnafMulAdd(n,i,!0):this.curve._wnafMulAdd(1,n,i,2,!0)},f.prototype.eq=function(t){return this===t||this.inf===t.inf&&(this.inf||0===this.x.cmp(t.x)&&0===this.y.cmp(t.y))},f.prototype.neg=function(t){if(this.inf)return this;var e=this.curve.point(this.x,this.y.redNeg());if(t&&this.precomputed){var r=this.precomputed,n=function(t){return t.neg()};e.precomputed={naf:r.naf&&{wnd:r.naf.wnd,points:r.naf.points.map(n)},doubles:r.doubles&&{step:r.doubles.step,points:r.doubles.points.map(n)}}}return e},f.prototype.toJ=function(){if(this.inf)return this.curve.jpoint(null,null,null);var t=this.curve.jpoint(this.x,this.y,this.curve.one);return t},o(c,u.BasePoint),s.prototype.jpoint=function(t,e,r){return new c(this,t,e,r)},c.prototype.toP=function(){if(this.isInfinity())return this.curve.point(null,null);var t=this.z.redInvm(),e=t.redSqr(),r=this.x.redMul(e),n=this.y.redMul(e).redMul(t);return this.curve.point(r,n)},c.prototype.neg=function(){return this.curve.jpoint(this.x,this.y.redNeg(),this.z)},c.prototype.add=function(t){if(this.isInfinity())return t;if(t.isInfinity())return this;var e=t.z.redSqr(),r=this.z.redSqr(),n=this.x.redMul(e),i=t.x.redMul(r),o=this.y.redMul(e.redMul(t.z)),u=t.y.redMul(r.redMul(this.z)),a=n.redSub(i),s=o.redSub(u);if(0===a.cmpn(0))return 0!==s.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var f=a.redSqr(),c=f.redMul(a),h=n.redMul(f),l=s.redSqr().redIAdd(c).redISub(h).redISub(h),d=s.redMul(h.redISub(l)).redISub(o.redMul(c)),p=this.z.redMul(t.z).redMul(a);return this.curve.jpoint(l,d,p)},c.prototype.mixedAdd=function(t){if(this.isInfinity())return t.toJ();if(t.isInfinity())return this;var e=this.z.redSqr(),r=this.x,n=t.x.redMul(e),i=this.y,o=t.y.redMul(e).redMul(this.z),u=r.redSub(n),a=i.redSub(o);if(0===u.cmpn(0))return 0!==a.cmpn(0)?this.curve.jpoint(null,null,null):this.dbl();var s=u.redSqr(),f=s.redMul(u),c=r.redMul(s),h=a.redSqr().redIAdd(f).redISub(c).redISub(c),l=a.redMul(c.redISub(h)).redISub(i.redMul(f)),d=this.z.redMul(u);return this.curve.jpoint(h,l,d)},c.prototype.dblp=function(t){if(0===t)return this;if(this.isInfinity())return this;if(!t)return this.dbl();var e;if(this.curve.zeroA||this.curve.threeA){var r=this;for(e=0;e<t;e++)r=r.dbl();return r}var n=this.curve.a,i=this.curve.tinv,o=this.x,u=this.y,a=this.z,s=a.redSqr().redSqr(),f=u.redAdd(u);for(e=0;e<t;e++){var c=o.redSqr(),h=f.redSqr(),l=h.redSqr(),d=c.redAdd(c).redIAdd(c).redIAdd(n.redMul(s)),p=o.redMul(h),b=d.redSqr().redISub(p.redAdd(p)),g=p.redISub(b),m=d.redMul(g);m=m.redIAdd(m).redISub(l);var y=f.redMul(a);e+1<t&&(s=s.redMul(l)),o=b,a=y,f=m}return this.curve.jpoint(o,f.redMul(i),a)},c.prototype.dbl=function(){return this.isInfinity()?this:this.curve.zeroA?this._zeroDbl():this.curve.threeA?this._threeDbl():this._dbl()},c.prototype._zeroDbl=function(){var t,e,r;if(this.zOne){var n=this.x.redSqr(),i=this.y.redSqr(),o=i.redSqr(),u=this.x.redAdd(i).redSqr().redISub(n).redISub(o);u=u.redIAdd(u);var a=n.redAdd(n).redIAdd(n),s=a.redSqr().redISub(u).redISub(u),f=o.redIAdd(o);f=f.redIAdd(f),f=f.redIAdd(f),t=s,e=a.redMul(u.redISub(s)).redISub(f),r=this.y.redAdd(this.y)}else{var c=this.x.redSqr(),h=this.y.redSqr(),l=h.redSqr(),d=this.x.redAdd(h).redSqr().redISub(c).redISub(l);d=d.redIAdd(d);var p=c.redAdd(c).redIAdd(c),b=p.redSqr(),g=l.redIAdd(l);g=g.redIAdd(g),g=g.redIAdd(g),t=b.redISub(d).redISub(d),e=p.redMul(d.redISub(t)).redISub(g),r=this.y.redMul(this.z),r=r.redIAdd(r)}return this.curve.jpoint(t,e,r)},c.prototype._threeDbl=function(){var t,e,r;if(this.zOne){var n=this.x.redSqr(),i=this.y.redSqr(),o=i.redSqr(),u=this.x.redAdd(i).redSqr().redISub(n).redISub(o);u=u.redIAdd(u);var a=n.redAdd(n).redIAdd(n).redIAdd(this.curve.a),s=a.redSqr().redISub(u).redISub(u);t=s;var f=o.redIAdd(o);f=f.redIAdd(f),f=f.redIAdd(f),e=a.redMul(u.redISub(s)).redISub(f),r=this.y.redAdd(this.y)}else{var c=this.z.redSqr(),h=this.y.redSqr(),l=this.x.redMul(h),d=this.x.redSub(c).redMul(this.x.redAdd(c));d=d.redAdd(d).redIAdd(d);var p=l.redIAdd(l);p=p.redIAdd(p);var b=p.redAdd(p);t=d.redSqr().redISub(b),r=this.y.redAdd(this.z).redSqr().redISub(h).redISub(c);var g=h.redSqr();g=g.redIAdd(g),g=g.redIAdd(g),g=g.redIAdd(g),e=d.redMul(p.redISub(t)).redISub(g)}return this.curve.jpoint(t,e,r)},c.prototype._dbl=function(){var t=this.curve.a,e=this.x,r=this.y,n=this.z,i=n.redSqr().redSqr(),o=e.redSqr(),u=r.redSqr(),a=o.redAdd(o).redIAdd(o).redIAdd(t.redMul(i)),s=e.redAdd(e);s=s.redIAdd(s);var f=s.redMul(u),c=a.redSqr().redISub(f.redAdd(f)),h=f.redISub(c),l=u.redSqr();l=l.redIAdd(l),l=l.redIAdd(l),l=l.redIAdd(l);var d=a.redMul(h).redISub(l),p=r.redAdd(r).redMul(n);return this.curve.jpoint(c,d,p)},c.prototype.trpl=function(){if(!this.curve.zeroA)return this.dbl().add(this);var t=this.x.redSqr(),e=this.y.redSqr(),r=this.z.redSqr(),n=e.redSqr(),i=t.redAdd(t).redIAdd(t),o=i.redSqr(),u=this.x.redAdd(e).redSqr().redISub(t).redISub(n);u=u.redIAdd(u),u=u.redAdd(u).redIAdd(u),u=u.redISub(o);var a=u.redSqr(),s=n.redIAdd(n);s=s.redIAdd(s),s=s.redIAdd(s),s=s.redIAdd(s);var f=i.redIAdd(u).redSqr().redISub(o).redISub(a).redISub(s),c=e.redMul(f);c=c.redIAdd(c),c=c.redIAdd(c);var h=this.x.redMul(a).redISub(c);h=h.redIAdd(h),h=h.redIAdd(h);var l=this.y.redMul(f.redMul(s.redISub(f)).redISub(u.redMul(a)));l=l.redIAdd(l),l=l.redIAdd(l),l=l.redIAdd(l);var d=this.z.redAdd(u).redSqr().redISub(r).redISub(a);return this.curve.jpoint(h,l,d)},c.prototype.mul=function(t,e){return t=new i(t,e),this.curve._wnafMul(this,t)},c.prototype.eq=function(t){if("affine"===t.type)return this.eq(t.toJ());if(this===t)return!0;var e=this.z.redSqr(),r=t.z.redSqr();if(0!==this.x.redMul(r).redISub(t.x.redMul(e)).cmpn(0))return!1;var n=e.redMul(this.z),i=r.redMul(t.z);return 0===this.y.redMul(i).redISub(t.y.redMul(n)).cmpn(0)},c.prototype.eqXToP=function(t){var e=this.z.redSqr(),r=t.toRed(this.curve.red).redMul(e);if(0===this.x.cmp(r))return!0;for(var n=t.clone(),i=this.curve.redN.redMul(e);;){if(n.iadd(this.curve.n),n.cmp(this.curve.p)>=0)return!1;if(r.redIAdd(i),0===this.x.cmp(r))return!0}},c.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)+">"},c.prototype.isInfinity=function(){return 0===this.z.cmpn(0)}},8387:function(t,e,r){"use strict";var n,i=e,o=r(807),u=r(1955),a=r(7971),s=a.assert;function f(t){"short"===t.type?this.curve=new u.short(t):"edwards"===t.type?this.curve=new u.edwards(t):this.curve=new u.mont(t),this.g=this.curve.g,this.n=this.curve.n,this.hash=t.hash,s(this.g.validate(),"Invalid curve"),s(this.g.mul(this.n).isInfinity(),"Invalid curve, G*N != O")}function c(t,e){Object.defineProperty(i,t,{configurable:!0,enumerable:!0,get:function(){var r=new f(e);return Object.defineProperty(i,t,{configurable:!0,enumerable:!0,value:r}),r}})}i.PresetCurve=f,c("p192",{type:"short",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",hash:o.sha256,gRed:!1,g:["188da80e b03090f6 7cbf20eb 43a18800 f4ff0afd 82ff1012","07192b95 ffc8da78 631011ed 6b24cdd5 73f977a1 1e794811"]}),c("p224",{type:"short",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",hash:o.sha256,gRed:!1,g:["b70e0cbd 6bb4bf7f 321390b9 4a03c1d3 56c21122 343280d6 115c1d21","bd376388 b5f723fb 4c22dfe6 cd4375a0 5a074764 44d58199 85007e34"]}),c("p256",{type:"short",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",hash:o.sha256,gRed:!1,g:["6b17d1f2 e12c4247 f8bce6e5 63a440f2 77037d81 2deb33a0 f4a13945 d898c296","4fe342e2 fe1a7f9b 8ee7eb4a 7c0f9e16 2bce3357 6b315ece cbb64068 37bf51f5"]}),c("p384",{type:"short",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",hash:o.sha384,gRed:!1,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"]}),c("p521",{type:"short",prime:null,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",hash:o.sha512,gRed:!1,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"]}),c("curve25519",{type:"mont",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"76d06",b:"1",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:o.sha256,gRed:!1,g:["9"]}),c("ed25519",{type:"edwards",prime:"p25519",p:"7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed",a:"-1",c:"1",d:"52036cee2b6ffe73 8cc740797779e898 00700a4d4141d8ab 75eb4dca135978a3",n:"1000000000000000 0000000000000000 14def9dea2f79cd6 5812631a5cf5d3ed",hash:o.sha256,gRed:!1,g:["216936d3cd6e53fec0a4e231fdd6dc5c692cc7609525a7b2c9562d608f25d51a","6666666666666666666666666666666666666666666666666666666666666658"]});try{n=r(3489)}catch(h){n=void 0}c("secp256k1",{type:"short",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",hash:o.sha256,beta:"7ae96a2b657c07106e64479eac3434e99cf0497512f58995c1396c28719501ee",lambda:"5363ad4cc05c30e0a5261c028812645a122e22ea20816678df02967c1b23bd72",basis:[{a:"3086d221a7d46bcde86c90e49284eb15",b:"-e4437ed6010e88286f547fa90abfe4c3"},{a:"114ca50f7a8e2f3f657c1108d9d44cfd8",b:"3086d221a7d46bcde86c90e49284eb15"}],gRed:!1,g:["79be667ef9dcbbac55a06295ce870b07029bfcdb2dce28d959f2815b16f81798","483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8",n]})},755:function(t,e,r){"use strict";var n=r(1979),i=r(5312),o=r(7971),u=r(8387),a=r(2675),s=o.assert,f=r(2023),c=r(5684);function h(t){if(!(this instanceof h))return new h(t);"string"===typeof t&&(s(Object.prototype.hasOwnProperty.call(u,t),"Unknown curve "+t),t=u[t]),t instanceof u.PresetCurve&&(t={curve:t}),this.curve=t.curve.curve,this.n=this.curve.n,this.nh=this.n.ushrn(1),this.g=this.curve.g,this.g=t.curve.g,this.g.precompute(t.curve.n.bitLength()+1),this.hash=t.hash||t.curve.hash}t.exports=h,h.prototype.keyPair=function(t){return new f(this,t)},h.prototype.keyFromPrivate=function(t,e){return f.fromPrivate(this,t,e)},h.prototype.keyFromPublic=function(t,e){return f.fromPublic(this,t,e)},h.prototype.genKeyPair=function(t){t||(t={});for(var e=new i({hash:this.hash,pers:t.pers,persEnc:t.persEnc||"utf8",entropy:t.entropy||a(this.hash.hmacStrength),entropyEnc:t.entropy&&t.entropyEnc||"utf8",nonce:this.n.toArray()}),r=this.n.byteLength(),o=this.n.sub(new n(2));;){var u=new n(e.generate(r));if(!(u.cmp(o)>0))return u.iaddn(1),this.keyFromPrivate(u)}},h.prototype._truncateToN=function(t,e){var r=8*t.byteLength()-this.n.bitLength();return r>0&&(t=t.ushrn(r)),!e&&t.cmp(this.n)>=0?t.sub(this.n):t},h.prototype.sign=function(t,e,r,o){"object"===typeof r&&(o=r,r=null),o||(o={}),e=this.keyFromPrivate(e,r),t=this._truncateToN(new n(t,16));for(var u=this.n.byteLength(),a=e.getPrivate().toArray("be",u),s=t.toArray("be",u),f=new i({hash:this.hash,entropy:a,nonce:s,pers:o.pers,persEnc:o.persEnc||"utf8"}),h=this.n.sub(new n(1)),l=0;;l++){var d=o.k?o.k(l):new n(f.generate(this.n.byteLength()));if(d=this._truncateToN(d,!0),!(d.cmpn(1)<=0||d.cmp(h)>=0)){var p=this.g.mul(d);if(!p.isInfinity()){var b=p.getX(),g=b.umod(this.n);if(0!==g.cmpn(0)){var m=d.invm(this.n).mul(g.mul(e.getPrivate()).iadd(t));if(m=m.umod(this.n),0!==m.cmpn(0)){var y=(p.getY().isOdd()?1:0)|(0!==b.cmp(g)?2:0);return o.canonical&&m.cmp(this.nh)>0&&(m=this.n.sub(m),y^=1),new c({r:g,s:m,recoveryParam:y})}}}}}},h.prototype.verify=function(t,e,r,i){t=this._truncateToN(new n(t,16)),r=this.keyFromPublic(r,i),e=new c(e,"hex");var o=e.r,u=e.s;if(o.cmpn(1)<0||o.cmp(this.n)>=0)return!1;if(u.cmpn(1)<0||u.cmp(this.n)>=0)return!1;var a,s=u.invm(this.n),f=s.mul(t).umod(this.n),h=s.mul(o).umod(this.n);return this.curve._maxwellTrick?(a=this.g.jmulAdd(f,r.getPublic(),h),!a.isInfinity()&&a.eqXToP(o)):(a=this.g.mulAdd(f,r.getPublic(),h),!a.isInfinity()&&0===a.getX().umod(this.n).cmp(o))},h.prototype.recoverPubKey=function(t,e,r,i){s((3&r)===r,"The recovery param is more than two bits"),e=new c(e,i);var o=this.n,u=new n(t),a=e.r,f=e.s,h=1&r,l=r>>1;if(a.cmp(this.curve.p.umod(this.curve.n))>=0&&l)throw new Error("Unable to find sencond key candinate");a=l?this.curve.pointFromX(a.add(this.curve.n),h):this.curve.pointFromX(a,h);var d=e.r.invm(o),p=o.sub(u).mul(d).umod(o),b=f.mul(d).umod(o);return this.g.mulAdd(p,a,b)},h.prototype.getKeyRecoveryParam=function(t,e,r,n){if(e=new c(e,n),null!==e.recoveryParam)return e.recoveryParam;for(var i=0;i<4;i++){var o;try{o=this.recoverPubKey(t,e,i)}catch(t){continue}if(o.eq(r))return i}throw new Error("Unable to find valid recovery factor")}},2023:function(t,e,r){"use strict";var n=r(1979),i=r(7971),o=i.assert;function u(t,e){this.ec=t,this.priv=null,this.pub=null,e.priv&&this._importPrivate(e.priv,e.privEnc),e.pub&&this._importPublic(e.pub,e.pubEnc)}t.exports=u,u.fromPublic=function(t,e,r){return e instanceof u?e:new u(t,{pub:e,pubEnc:r})},u.fromPrivate=function(t,e,r){return e instanceof u?e:new u(t,{priv:e,privEnc:r})},u.prototype.validate=function(){var t=this.getPublic();return t.isInfinity()?{result:!1,reason:"Invalid public key"}:t.validate()?t.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"}},u.prototype.getPublic=function(t,e){return"string"===typeof t&&(e=t,t=null),this.pub||(this.pub=this.ec.g.mul(this.priv)),e?this.pub.encode(e,t):this.pub},u.prototype.getPrivate=function(t){return"hex"===t?this.priv.toString(16,2):this.priv},u.prototype._importPrivate=function(t,e){this.priv=new n(t,e||16),this.priv=this.priv.umod(this.ec.curve.n)},u.prototype._importPublic=function(t,e){if(t.x||t.y)return"mont"===this.ec.curve.type?o(t.x,"Need x coordinate"):"short"!==this.ec.curve.type&&"edwards"!==this.ec.curve.type||o(t.x&&t.y,"Need both x and y coordinate"),void(this.pub=this.ec.curve.point(t.x,t.y));this.pub=this.ec.curve.decodePoint(t,e)},u.prototype.derive=function(t){return t.validate()||o(t.validate(),"public point not validated"),t.mul(this.priv).getX()},u.prototype.sign=function(t,e,r){return this.ec.sign(t,this,e,r)},u.prototype.verify=function(t,e){return this.ec.verify(t,e,this)},u.prototype.inspect=function(){return"<Key priv: "+(this.priv&&this.priv.toString(16,2))+" pub: "+(this.pub&&this.pub.inspect())+" >"}},5684:function(t,e,r){"use strict";r(7658);var n=r(1979),i=r(7971),o=i.assert;function u(t,e){if(t instanceof u)return t;this._importDER(t,e)||(o(t.r&&t.s,"Signature without r or s"),this.r=new n(t.r,16),this.s=new n(t.s,16),void 0===t.recoveryParam?this.recoveryParam=null:this.recoveryParam=t.recoveryParam)}function a(){this.place=0}function s(t,e){var r=t[e.place++];if(!(128&r))return r;var n=15&r;if(0===n||n>4)return!1;for(var i=0,o=0,u=e.place;o<n;o++,u++)i<<=8,i|=t[u],i>>>=0;return!(i<=127)&&(e.place=u,i)}function f(t){var e=0,r=t.length-1;while(!t[e]&&!(128&t[e+1])&&e<r)e++;return 0===e?t:t.slice(e)}function c(t,e){if(e<128)t.push(e);else{var r=1+(Math.log(e)/Math.LN2>>>3);t.push(128|r);while(--r)t.push(e>>>(r<<3)&255);t.push(e)}}t.exports=u,u.prototype._importDER=function(t,e){t=i.toArray(t,e);var r=new a;if(48!==t[r.place++])return!1;var o=s(t,r);if(!1===o)return!1;if(o+r.place!==t.length)return!1;if(2!==t[r.place++])return!1;var u=s(t,r);if(!1===u)return!1;var f=t.slice(r.place,u+r.place);if(r.place+=u,2!==t[r.place++])return!1;var c=s(t,r);if(!1===c)return!1;if(t.length!==c+r.place)return!1;var h=t.slice(r.place,c+r.place);if(0===f[0]){if(!(128&f[1]))return!1;f=f.slice(1)}if(0===h[0]){if(!(128&h[1]))return!1;h=h.slice(1)}return this.r=new n(f),this.s=new n(h),this.recoveryParam=null,!0},u.prototype.toDER=function(t){var e=this.r.toArray(),r=this.s.toArray();128&e[0]&&(e=[0].concat(e)),128&r[0]&&(r=[0].concat(r)),e=f(e),r=f(r);while(!r[0]&&!(128&r[1]))r=r.slice(1);var n=[2];c(n,e.length),n=n.concat(e),n.push(2),c(n,r.length);var o=n.concat(r),u=[48];return c(u,o.length),u=u.concat(o),i.encode(u,t)}},735:function(t,e,r){"use strict";var n=r(807),i=r(8387),o=r(7971),u=o.assert,a=o.parseBytes,s=r(371),f=r(6226);function c(t){if(u("ed25519"===t,"only tested with ed25519 so far"),!(this instanceof c))return new c(t);t=i[t].curve,this.curve=t,this.g=t.g,this.g.precompute(t.n.bitLength()+1),this.pointClass=t.point().constructor,this.encodingLength=Math.ceil(t.n.bitLength()/8),this.hash=n.sha512}t.exports=c,c.prototype.sign=function(t,e){t=a(t);var r=this.keyFromSecret(e),n=this.hashInt(r.messagePrefix(),t),i=this.g.mul(n),o=this.encodePoint(i),u=this.hashInt(o,r.pubBytes(),t).mul(r.priv()),s=n.add(u).umod(this.curve.n);return this.makeSignature({R:i,S:s,Rencoded:o})},c.prototype.verify=function(t,e,r){t=a(t),e=this.makeSignature(e);var n=this.keyFromPublic(r),i=this.hashInt(e.Rencoded(),n.pubBytes(),t),o=this.g.mul(e.S()),u=e.R().add(n.pub().mul(i));return u.eq(o)},c.prototype.hashInt=function(){for(var t=this.hash(),e=0;e<arguments.length;e++)t.update(arguments[e]);return o.intFromLE(t.digest()).umod(this.curve.n)},c.prototype.keyFromPublic=function(t){return s.fromPublic(this,t)},c.prototype.keyFromSecret=function(t){return s.fromSecret(this,t)},c.prototype.makeSignature=function(t){return t instanceof f?t:new f(this,t)},c.prototype.encodePoint=function(t){var e=t.getY().toArray("le",this.encodingLength);return e[this.encodingLength-1]|=t.getX().isOdd()?128:0,e},c.prototype.decodePoint=function(t){t=o.parseBytes(t);var e=t.length-1,r=t.slice(0,e).concat(-129&t[e]),n=0!==(128&t[e]),i=o.intFromLE(r);return this.curve.pointFromY(i,n)},c.prototype.encodeInt=function(t){return t.toArray("le",this.encodingLength)},c.prototype.decodeInt=function(t){return o.intFromLE(t)},c.prototype.isPoint=function(t){return t instanceof this.pointClass}},371:function(t,e,r){"use strict";var n=r(7971),i=n.assert,o=n.parseBytes,u=n.cachedProperty;function a(t,e){this.eddsa=t,this._secret=o(e.secret),t.isPoint(e.pub)?this._pub=e.pub:this._pubBytes=o(e.pub)}a.fromPublic=function(t,e){return e instanceof a?e:new a(t,{pub:e})},a.fromSecret=function(t,e){return e instanceof a?e:new a(t,{secret:e})},a.prototype.secret=function(){return this._secret},u(a,"pubBytes",(function(){return this.eddsa.encodePoint(this.pub())})),u(a,"pub",(function(){return this._pubBytes?this.eddsa.decodePoint(this._pubBytes):this.eddsa.g.mul(this.priv())})),u(a,"privBytes",(function(){var t=this.eddsa,e=this.hash(),r=t.encodingLength-1,n=e.slice(0,t.encodingLength);return n[0]&=248,n[r]&=127,n[r]|=64,n})),u(a,"priv",(function(){return this.eddsa.decodeInt(this.privBytes())})),u(a,"hash",(function(){return this.eddsa.hash().update(this.secret()).digest()})),u(a,"messagePrefix",(function(){return this.hash().slice(this.eddsa.encodingLength)})),a.prototype.sign=function(t){return i(this._secret,"KeyPair can only verify"),this.eddsa.sign(t,this)},a.prototype.verify=function(t,e){return this.eddsa.verify(t,e,this)},a.prototype.getSecret=function(t){return i(this._secret,"KeyPair is public only"),n.encode(this.secret(),t)},a.prototype.getPublic=function(t){return n.encode(this.pubBytes(),t)},t.exports=a},6226:function(t,e,r){"use strict";var n=r(1979),i=r(7971),o=i.assert,u=i.cachedProperty,a=i.parseBytes;function s(t,e){this.eddsa=t,"object"!==typeof e&&(e=a(e)),Array.isArray(e)&&(e={R:e.slice(0,t.encodingLength),S:e.slice(t.encodingLength)}),o(e.R&&e.S,"Signature without R or S"),t.isPoint(e.R)&&(this._R=e.R),e.S instanceof n&&(this._S=e.S),this._Rencoded=Array.isArray(e.R)?e.R:e.Rencoded,this._Sencoded=Array.isArray(e.S)?e.S:e.Sencoded}u(s,"S",(function(){return this.eddsa.decodeInt(this.Sencoded())})),u(s,"R",(function(){return this.eddsa.decodePoint(this.Rencoded())})),u(s,"Rencoded",(function(){return this.eddsa.encodePoint(this.R())})),u(s,"Sencoded",(function(){return this.eddsa.encodeInt(this.S())})),s.prototype.toBytes=function(){return this.Rencoded().concat(this.Sencoded())},s.prototype.toHex=function(){return 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wt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(wt>>>26)|0,wt&=67108863,n=Math.imul(k,D),i=Math.imul(k,F),i=i+Math.imul(x,D)|0,o=Math.imul(x,F),n=n+Math.imul(S,H)|0,i=i+Math.imul(S,W)|0,i=i+Math.imul(A,H)|0,o=o+Math.imul(A,W)|0,n=n+Math.imul(w,$)|0,i=i+Math.imul(w,G)|0,i=i+Math.imul(_,$)|0,o=o+Math.imul(_,G)|0,n=n+Math.imul(m,Y)|0,i=i+Math.imul(m,J)|0,i=i+Math.imul(y,Y)|0,o=o+Math.imul(y,J)|0,n=n+Math.imul(p,Q)|0,i=i+Math.imul(p,tt)|0,i=i+Math.imul(b,Q)|0,o=o+Math.imul(b,tt)|0,n=n+Math.imul(h,rt)|0,i=i+Math.imul(h,nt)|0,i=i+Math.imul(l,rt)|0,o=o+Math.imul(l,nt)|0;var _t=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(I,D),i=Math.imul(I,F),i=i+Math.imul(R,D)|0,o=Math.imul(R,F),n=n+Math.imul(k,H)|0,i=i+Math.imul(k,W)|0,i=i+Math.imul(x,H)|0,o=o+Math.imul(x,W)|0,n=n+Math.imul(S,$)|0,i=i+Math.imul(S,G)|0,i=i+Math.imul(A,$)|0,o=o+Math.imul(A,G)|0,n=n+Math.imul(w,Y)|0,i=i+Math.imul(w,J)|0,i=i+Math.imul(_,Y)|0,o=o+Math.imul(_,J)|0,n=n+Math.imul(m,Q)|0,i=i+Math.imul(m,tt)|0,i=i+Math.imul(y,Q)|0,o=o+Math.imul(y,tt)|0,n=n+Math.imul(p,rt)|0,i=i+Math.imul(p,nt)|0,i=i+Math.imul(b,rt)|0,o=o+Math.imul(b,nt)|0,n=n+Math.imul(h,ot)|0,i=i+Math.imul(h,ut)|0,i=i+Math.imul(l,ot)|0,o=o+Math.imul(l,ut)|0;var Mt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,n=Math.imul(B,D),i=Math.imul(B,F),i=i+Math.imul(P,D)|0,o=Math.imul(P,F),n=n+Math.imul(I,H)|0,i=i+Math.imul(I,W)|0,i=i+Math.imul(R,H)|0,o=o+Math.imul(R,W)|0,n=n+Math.imul(k,$)|0,i=i+Math.imul(k,G)|0,i=i+Math.imul(x,$)|0,o=o+Math.imul(x,G)|0,n=n+Math.imul(S,Y)|0,i=i+Math.imul(S,J)|0,i=i+Math.imul(A,Y)|0,o=o+Math.imul(A,J)|0,n=n+Math.imul(w,Q)|0,i=i+Math.imul(w,tt)|0,i=i+Math.imul(_,Q)|0,o=o+Math.imul(_,tt)|0,n=n+Math.imul(m,rt)|0,i=i+Math.imul(m,nt)|0,i=i+Math.imul(y,rt)|0,o=o+Math.imul(y,nt)|0,n=n+Math.imul(p,ot)|0,i=i+Math.imul(p,ut)|0,i=i+Math.imul(b,ot)|0,o=o+Math.imul(b,ut)|0,n=n+Math.imul(h,st)|0,i=i+Math.imul(h,ft)|0,i=i+Math.imul(l,st)|0,o=o+Math.imul(l,ft)|0;var St=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(z,D),i=Math.imul(z,F),i=i+Math.imul(N,D)|0,o=Math.imul(N,F),n=n+Math.imul(B,H)|0,i=i+Math.imul(B,W)|0,i=i+Math.imul(P,H)|0,o=o+Math.imul(P,W)|0,n=n+Math.imul(I,$)|0,i=i+Math.imul(I,G)|0,i=i+Math.imul(R,$)|0,o=o+Math.imul(R,G)|0,n=n+Math.imul(k,Y)|0,i=i+Math.imul(k,J)|0,i=i+Math.imul(x,Y)|0,o=o+Math.imul(x,J)|0,n=n+Math.imul(S,Q)|0,i=i+Math.imul(S,tt)|0,i=i+Math.imul(A,Q)|0,o=o+Math.imul(A,tt)|0,n=n+Math.imul(w,rt)|0,i=i+Math.imul(w,nt)|0,i=i+Math.imul(_,rt)|0,o=o+Math.imul(_,nt)|0,n=n+Math.imul(m,ot)|0,i=i+Math.imul(m,ut)|0,i=i+Math.imul(y,ot)|0,o=o+Math.imul(y,ut)|0,n=n+Math.imul(p,st)|0,i=i+Math.imul(p,ft)|0,i=i+Math.imul(b,st)|0,o=o+Math.imul(b,ft)|0,n=n+Math.imul(h,ht)|0,i=i+Math.imul(h,lt)|0,i=i+Math.imul(l,ht)|0,o=o+Math.imul(l,lt)|0;var At=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(C,D),i=Math.imul(C,F),i=i+Math.imul(q,D)|0,o=Math.imul(q,F),n=n+Math.imul(z,H)|0,i=i+Math.imul(z,W)|0,i=i+Math.imul(N,H)|0,o=o+Math.imul(N,W)|0,n=n+Math.imul(B,$)|0,i=i+Math.imul(B,G)|0,i=i+Math.imul(P,$)|0,o=o+Math.imul(P,G)|0,n=n+Math.imul(I,Y)|0,i=i+Math.imul(I,J)|0,i=i+Math.imul(R,Y)|0,o=o+Math.imul(R,J)|0,n=n+Math.imul(k,Q)|0,i=i+Math.imul(k,tt)|0,i=i+Math.imul(x,Q)|0,o=o+Math.imul(x,tt)|0,n=n+Math.imul(S,rt)|0,i=i+Math.imul(S,nt)|0,i=i+Math.imul(A,rt)|0,o=o+Math.imul(A,nt)|0,n=n+Math.imul(w,ot)|0,i=i+Math.imul(w,ut)|0,i=i+Math.imul(_,ot)|0,o=o+Math.imul(_,ut)|0,n=n+Math.imul(m,st)|0,i=i+Math.imul(m,ft)|0,i=i+Math.imul(y,st)|0,o=o+Math.imul(y,ft)|0,n=n+Math.imul(p,ht)|0,i=i+Math.imul(p,lt)|0,i=i+Math.imul(b,ht)|0,o=o+Math.imul(b,lt)|0,n=n+Math.imul(h,pt)|0,i=i+Math.imul(h,bt)|0,i=i+Math.imul(l,pt)|0,o=o+Math.imul(l,bt)|0;var Et=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(C,H),i=Math.imul(C,W),i=i+Math.imul(q,H)|0,o=Math.imul(q,W),n=n+Math.imul(z,$)|0,i=i+Math.imul(z,G)|0,i=i+Math.imul(N,$)|0,o=o+Math.imul(N,G)|0,n=n+Math.imul(B,Y)|0,i=i+Math.imul(B,J)|0,i=i+Math.imul(P,Y)|0,o=o+Math.imul(P,J)|0,n=n+Math.imul(I,Q)|0,i=i+Math.imul(I,tt)|0,i=i+Math.imul(R,Q)|0,o=o+Math.imul(R,tt)|0,n=n+Math.imul(k,rt)|0,i=i+Math.imul(k,nt)|0,i=i+Math.imul(x,rt)|0,o=o+Math.imul(x,nt)|0,n=n+Math.imul(S,ot)|0,i=i+Math.imul(S,ut)|0,i=i+Math.imul(A,ot)|0,o=o+Math.imul(A,ut)|0,n=n+Math.imul(w,st)|0,i=i+Math.imul(w,ft)|0,i=i+Math.imul(_,st)|0,o=o+Math.imul(_,ft)|0,n=n+Math.imul(m,ht)|0,i=i+Math.imul(m,lt)|0,i=i+Math.imul(y,ht)|0,o=o+Math.imul(y,lt)|0,n=n+Math.imul(p,pt)|0,i=i+Math.imul(p,bt)|0,i=i+Math.imul(b,pt)|0,o=o+Math.imul(b,bt)|0;var kt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(C,$),i=Math.imul(C,G),i=i+Math.imul(q,$)|0,o=Math.imul(q,G),n=n+Math.imul(z,Y)|0,i=i+Math.imul(z,J)|0,i=i+Math.imul(N,Y)|0,o=o+Math.imul(N,J)|0,n=n+Math.imul(B,Q)|0,i=i+Math.imul(B,tt)|0,i=i+Math.imul(P,Q)|0,o=o+Math.imul(P,tt)|0,n=n+Math.imul(I,rt)|0,i=i+Math.imul(I,nt)|0,i=i+Math.imul(R,rt)|0,o=o+Math.imul(R,nt)|0,n=n+Math.imul(k,ot)|0,i=i+Math.imul(k,ut)|0,i=i+Math.imul(x,ot)|0,o=o+Math.imul(x,ut)|0,n=n+Math.imul(S,st)|0,i=i+Math.imul(S,ft)|0,i=i+Math.imul(A,st)|0,o=o+Math.imul(A,ft)|0,n=n+Math.imul(w,ht)|0,i=i+Math.imul(w,lt)|0,i=i+Math.imul(_,ht)|0,o=o+Math.imul(_,lt)|0,n=n+Math.imul(m,pt)|0,i=i+Math.imul(m,bt)|0,i=i+Math.imul(y,pt)|0,o=o+Math.imul(y,bt)|0;var xt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(C,Y),i=Math.imul(C,J),i=i+Math.imul(q,Y)|0,o=Math.imul(q,J),n=n+Math.imul(z,Q)|0,i=i+Math.imul(z,tt)|0,i=i+Math.imul(N,Q)|0,o=o+Math.imul(N,tt)|0,n=n+Math.imul(B,rt)|0,i=i+Math.imul(B,nt)|0,i=i+Math.imul(P,rt)|0,o=o+Math.imul(P,nt)|0,n=n+Math.imul(I,ot)|0,i=i+Math.imul(I,ut)|0,i=i+Math.imul(R,ot)|0,o=o+Math.imul(R,ut)|0,n=n+Math.imul(k,st)|0,i=i+Math.imul(k,ft)|0,i=i+Math.imul(x,st)|0,o=o+Math.imul(x,ft)|0,n=n+Math.imul(S,ht)|0,i=i+Math.imul(S,lt)|0,i=i+Math.imul(A,ht)|0,o=o+Math.imul(A,lt)|0,n=n+Math.imul(w,pt)|0,i=i+Math.imul(w,bt)|0,i=i+Math.imul(_,pt)|0,o=o+Math.imul(_,bt)|0;var Ot=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,n=Math.imul(C,Q),i=Math.imul(C,tt),i=i+Math.imul(q,Q)|0,o=Math.imul(q,tt),n=n+Math.imul(z,rt)|0,i=i+Math.imul(z,nt)|0,i=i+Math.imul(N,rt)|0,o=o+Math.imul(N,nt)|0,n=n+Math.imul(B,ot)|0,i=i+Math.imul(B,ut)|0,i=i+Math.imul(P,ot)|0,o=o+Math.imul(P,ut)|0,n=n+Math.imul(I,st)|0,i=i+Math.imul(I,ft)|0,i=i+Math.imul(R,st)|0,o=o+Math.imul(R,ft)|0,n=n+Math.imul(k,ht)|0,i=i+Math.imul(k,lt)|0,i=i+Math.imul(x,ht)|0,o=o+Math.imul(x,lt)|0,n=n+Math.imul(S,pt)|0,i=i+Math.imul(S,bt)|0,i=i+Math.imul(A,pt)|0,o=o+Math.imul(A,bt)|0;var It=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(It>>>26)|0,It&=67108863,n=Math.imul(C,rt),i=Math.imul(C,nt),i=i+Math.imul(q,rt)|0,o=Math.imul(q,nt),n=n+Math.imul(z,ot)|0,i=i+Math.imul(z,ut)|0,i=i+Math.imul(N,ot)|0,o=o+Math.imul(N,ut)|0,n=n+Math.imul(B,st)|0,i=i+Math.imul(B,ft)|0,i=i+Math.imul(P,st)|0,o=o+Math.imul(P,ft)|0,n=n+Math.imul(I,ht)|0,i=i+Math.imul(I,lt)|0,i=i+Math.imul(R,ht)|0,o=o+Math.imul(R,lt)|0,n=n+Math.imul(k,pt)|0,i=i+Math.imul(k,bt)|0,i=i+Math.imul(x,pt)|0,o=o+Math.imul(x,bt)|0;var Rt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(C,ot),i=Math.imul(C,ut),i=i+Math.imul(q,ot)|0,o=Math.imul(q,ut),n=n+Math.imul(z,st)|0,i=i+Math.imul(z,ft)|0,i=i+Math.imul(N,st)|0,o=o+Math.imul(N,ft)|0,n=n+Math.imul(B,ht)|0,i=i+Math.imul(B,lt)|0,i=i+Math.imul(P,ht)|0,o=o+Math.imul(P,lt)|0,n=n+Math.imul(I,pt)|0,i=i+Math.imul(I,bt)|0,i=i+Math.imul(R,pt)|0,o=o+Math.imul(R,bt)|0;var jt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(jt>>>26)|0,jt&=67108863,n=Math.imul(C,st),i=Math.imul(C,ft),i=i+Math.imul(q,st)|0,o=Math.imul(q,ft),n=n+Math.imul(z,ht)|0,i=i+Math.imul(z,lt)|0,i=i+Math.imul(N,ht)|0,o=o+Math.imul(N,lt)|0,n=n+Math.imul(B,pt)|0,i=i+Math.imul(B,bt)|0,i=i+Math.imul(P,pt)|0,o=o+Math.imul(P,bt)|0;var Bt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,n=Math.imul(C,ht),i=Math.imul(C,lt),i=i+Math.imul(q,ht)|0,o=Math.imul(q,lt),n=n+Math.imul(z,pt)|0,i=i+Math.imul(z,bt)|0,i=i+Math.imul(N,pt)|0,o=o+Math.imul(N,bt)|0;var Pt=(f+n|0)+((8191&i)<<13)|0;f=(o+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,n=Math.imul(C,pt),i=Math.imul(C,bt),i=i+Math.imul(q,pt)|0,o=Math.imul(q,bt);var Tt=(f+n|0)+((8191&i)<<13)|0;return f=(o+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,s[0]=gt,s[1]=mt,s[2]=yt,s[3]=vt,s[4]=wt,s[5]=_t,s[6]=Mt,s[7]=St,s[8]=At,s[9]=Et,s[10]=kt,s[11]=xt,s[12]=Ot,s[13]=It,s[14]=Rt,s[15]=jt,s[16]=Bt,s[17]=Pt,s[18]=Tt,0!==f&&(s[19]=f,r.length++),r};function g(t,e,r){r.negative=e.negative^t.negative,r.length=t.length+e.length;for(var n=0,i=0,o=0;o<r.length-1;o++){var u=i;i=0;for(var a=67108863&n,s=Math.min(o,e.length-1),f=Math.max(0,o-t.length+1);f<=s;f++){var c=o-f,h=0|t.words[c],l=0|e.words[f],d=h*l,p=67108863&d;u=u+(d/67108864|0)|0,p=p+a|0,a=67108863&p,u=u+(p>>>26)|0,i+=u>>>26,u&=67108863}r.words[o]=a,n=u,u=i}return 0!==n?r.words[o]=n:r.length--,r.strip()}function m(t,e,r){var n=new y;return n.mulp(t,e,r)}function y(t,e){this.x=t,this.y=e}Math.imul||(b=p),o.prototype.mulTo=function(t,e){var r,n=this.length+t.length;return r=10===this.length&&10===t.length?b(this,t,e):n<63?p(this,t,e):n<1024?g(this,t,e):m(this,t,e),r},y.prototype.makeRBT=function(t){for(var e=new Array(t),r=o.prototype._countBits(t)-1,n=0;n<t;n++)e[n]=this.revBin(n,r,t);return e},y.prototype.revBin=function(t,e,r){if(0===t||t===r-1)return t;for(var n=0,i=0;i<e;i++)n|=(1&t)<<e-i-1,t>>=1;return n},y.prototype.permute=function(t,e,r,n,i,o){for(var u=0;u<o;u++)n[u]=e[t[u]],i[u]=r[t[u]]},y.prototype.transform=function(t,e,r,n,i,o){this.permute(o,t,e,r,n,i);for(var u=1;u<i;u<<=1)for(var a=u<<1,s=Math.cos(2*Math.PI/a),f=Math.sin(2*Math.PI/a),c=0;c<i;c+=a)for(var h=s,l=f,d=0;d<u;d++){var p=r[c+d],b=n[c+d],g=r[c+d+u],m=n[c+d+u],y=h*g-l*m;m=h*m+l*g,g=y,r[c+d]=p+g,n[c+d]=b+m,r[c+d+u]=p-g,n[c+d+u]=b-m,d!==a&&(y=s*h-f*l,l=s*l+f*h,h=y)}},y.prototype.guessLen13b=function(t,e){var r=1|Math.max(e,t),n=1&r,i=0;for(r=r/2|0;r;r>>>=1)i++;return 1<<i+1+n},y.prototype.conjugate=function(t,e,r){if(!(r<=1))for(var n=0;n<r/2;n++){var i=t[n];t[n]=t[r-n-1],t[r-n-1]=i,i=e[n],e[n]=-e[r-n-1],e[r-n-1]=-i}},y.prototype.normalize13b=function(t,e){for(var r=0,n=0;n<e/2;n++){var i=8192*Math.round(t[2*n+1]/e)+Math.round(t[2*n]/e)+r;t[n]=67108863&i,r=i<67108864?0:i/67108864|0}return t},y.prototype.convert13b=function(t,e,r,i){for(var o=0,u=0;u<e;u++)o+=0|t[u],r[2*u]=8191&o,o>>>=13,r[2*u+1]=8191&o,o>>>=13;for(u=2*e;u<i;++u)r[u]=0;n(0===o),n(0===(-8192&o))},y.prototype.stub=function(t){for(var e=new Array(t),r=0;r<t;r++)e[r]=0;return e},y.prototype.mulp=function(t,e,r){var n=2*this.guessLen13b(t.length,e.length),i=this.makeRBT(n),o=this.stub(n),u=new Array(n),a=new Array(n),s=new Array(n),f=new Array(n),c=new Array(n),h=new Array(n),l=r.words;l.length=n,this.convert13b(t.words,t.length,u,n),this.convert13b(e.words,e.length,f,n),this.transform(u,o,a,s,n,i),this.transform(f,o,c,h,n,i);for(var d=0;d<n;d++){var p=a[d]*c[d]-s[d]*h[d];s[d]=a[d]*h[d]+s[d]*c[d],a[d]=p}return this.conjugate(a,s,n),this.transform(a,s,l,o,n,i),this.conjugate(l,o,n),this.normalize13b(l,n),r.negative=t.negative^e.negative,r.length=t.length+e.length,r.strip()},o.prototype.mul=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),this.mulTo(t,e)},o.prototype.mulf=function(t){var e=new o(null);return e.words=new Array(this.length+t.length),m(this,t,e)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){n("number"===typeof t),n(t<67108864);for(var e=0,r=0;r<this.length;r++){var i=(0|this.words[r])*t,o=(67108863&i)+(67108863&e);e>>=26,e+=i/67108864|0,e+=o>>>26,this.words[r]=67108863&o}return 0!==e&&(this.words[r]=e,this.length++),this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var e=d(t);if(0===e.length)return new o(1);for(var r=this,n=0;n<e.length;n++,r=r.sqr())if(0!==e[n])break;if(++n<e.length)for(var i=r.sqr();n<e.length;n++,i=i.sqr())0!==e[n]&&(r=r.mul(i));return r},o.prototype.iushln=function(t){n("number"===typeof t&&t>=0);var e,r=t%26,i=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var u=0;for(e=0;e<this.length;e++){var a=this.words[e]&o,s=(0|this.words[e])-a<<r;this.words[e]=s|u,u=a>>>26-r}u&&(this.words[e]=u,this.length++)}if(0!==i){for(e=this.length-1;e>=0;e--)this.words[e+i]=this.words[e];for(e=0;e<i;e++)this.words[e]=0;this.length+=i}return this.strip()},o.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},o.prototype.iushrn=function(t,e,r){var i;n("number"===typeof t&&t>=0),i=e?(e-e%26)/26:0;var o=t%26,u=Math.min((t-o)/26,this.length),a=67108863^67108863>>>o<<o,s=r;if(i-=u,i=Math.max(0,i),s){for(var f=0;f<u;f++)s.words[f]=this.words[f];s.length=u}if(0===u);else if(this.length>u)for(this.length-=u,f=0;f<this.length;f++)this.words[f]=this.words[f+u];else this.words[0]=0,this.length=1;var c=0;for(f=this.length-1;f>=0&&(0!==c||f>=i);f--){var h=0|this.words[f];this.words[f]=c<<26-o|h>>>o,c=h&a}return s&&0!==c&&(s.words[s.length++]=c),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},o.prototype.ishrn=function(t,e,r){return n(0===this.negative),this.iushrn(t,e,r)},o.prototype.shln=function(t){return this.clone().ishln(t)},o.prototype.ushln=function(t){return this.clone().iushln(t)},o.prototype.shrn=function(t){return this.clone().ishrn(t)},o.prototype.ushrn=function(t){return this.clone().iushrn(t)},o.prototype.testn=function(t){n("number"===typeof t&&t>=0);var e=t%26,r=(t-e)/26,i=1<<e;if(this.length<=r)return!1;var o=this.words[r];return!!(o&i)},o.prototype.imaskn=function(t){n("number"===typeof t&&t>=0);var e=t%26,r=(t-e)/26;if(n(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==e&&r++,this.length=Math.min(r,this.length),0!==e){var i=67108863^67108863>>>e<<e;this.words[this.length-1]&=i}return this.strip()},o.prototype.maskn=function(t){return this.clone().imaskn(t)},o.prototype.iaddn=function(t){return n("number"===typeof t),n(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},o.prototype._iaddn=function(t){this.words[0]+=t;for(var e=0;e<this.length&&this.words[e]>=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},o.prototype.isubn=function(t){if(n("number"===typeof t),n(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e<this.length&&this.words[e]<0;e++)this.words[e]+=67108864,this.words[e+1]-=1;return this.strip()},o.prototype.addn=function(t){return this.clone().iaddn(t)},o.prototype.subn=function(t){return this.clone().isubn(t)},o.prototype.iabs=function(){return this.negative=0,this},o.prototype.abs=function(){return this.clone().iabs()},o.prototype._ishlnsubmul=function(t,e,r){var i,o,u=t.length+r;this._expand(u);var a=0;for(i=0;i<t.length;i++){o=(0|this.words[i+r])+a;var s=(0|t.words[i])*e;o-=67108863&s,a=(o>>26)-(s/67108864|0),this.words[i+r]=67108863&o}for(;i<this.length-r;i++)o=(0|this.words[i+r])+a,a=o>>26,this.words[i+r]=67108863&o;if(0===a)return this.strip();for(n(-1===a),a=0,i=0;i<this.length;i++)o=-(0|this.words[i])+a,a=o>>26,this.words[i]=67108863&o;return this.negative=1,this.strip()},o.prototype._wordDiv=function(t,e){var r=this.length-t.length,n=this.clone(),i=t,u=0|i.words[i.length-1],a=this._countBits(u);r=26-a,0!==r&&(i=i.ushln(r),n.iushln(r),u=0|i.words[i.length-1]);var s,f=n.length-i.length;if("mod"!==e){s=new o(null),s.length=f+1,s.words=new Array(s.length);for(var c=0;c<s.length;c++)s.words[c]=0}var h=n.clone()._ishlnsubmul(i,1,f);0===h.negative&&(n=h,s&&(s.words[f]=1));for(var l=f-1;l>=0;l--){var d=67108864*(0|n.words[i.length+l])+(0|n.words[i.length+l-1]);d=Math.min(d/u|0,67108863),n._ishlnsubmul(i,d,l);while(0!==n.negative)d--,n.negative=0,n._ishlnsubmul(i,1,l),n.isZero()||(n.negative^=1);s&&(s.words[l]=d)}return s&&s.strip(),n.strip(),"div"!==e&&0!==r&&n.iushrn(r),{div:s||null,mod:n}},o.prototype.divmod=function(t,e,r){return n(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(a=this.neg().divmod(t,e),"mod"!==e&&(i=a.div.neg()),"div"!==e&&(u=a.mod.neg(),r&&0!==u.negative&&u.iadd(t)),{div:i,mod:u}):0===this.negative&&0!==t.negative?(a=this.divmod(t.neg(),e),"mod"!==e&&(i=a.div.neg()),{div:i,mod:a.mod}):0!==(this.negative&t.negative)?(a=this.neg().divmod(t.neg(),e),"div"!==e&&(u=a.mod.neg(),r&&0!==u.negative&&u.isub(t)),{div:a.div,mod:u}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new o(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modn(t.words[0]))}:this._wordDiv(t,e);var i,u,a},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var r=0!==e.div.negative?e.mod.isub(t):e.mod,n=t.ushrn(1),i=t.andln(1),o=r.cmp(n);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},o.prototype.modn=function(t){n(t<=67108863);for(var e=(1<<26)%t,r=0,i=this.length-1;i>=0;i--)r=(e*r+(0|this.words[i]))%t;return r},o.prototype.idivn=function(t){n(t<=67108863);for(var e=0,r=this.length-1;r>=0;r--){var i=(0|this.words[r])+67108864*e;this.words[r]=i/t|0,e=i%t}return this.strip()},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){n(0===t.negative),n(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();var i=new o(1),u=new o(0),a=new o(0),s=new o(1),f=0;while(e.isEven()&&r.isEven())e.iushrn(1),r.iushrn(1),++f;var c=r.clone(),h=e.clone();while(!e.isZero()){for(var l=0,d=1;0===(e.words[0]&d)&&l<26;++l,d<<=1);if(l>0){e.iushrn(l);while(l-- >0)(i.isOdd()||u.isOdd())&&(i.iadd(c),u.isub(h)),i.iushrn(1),u.iushrn(1)}for(var p=0,b=1;0===(r.words[0]&b)&&p<26;++p,b<<=1);if(p>0){r.iushrn(p);while(p-- >0)(a.isOdd()||s.isOdd())&&(a.iadd(c),s.isub(h)),a.iushrn(1),s.iushrn(1)}e.cmp(r)>=0?(e.isub(r),i.isub(a),u.isub(s)):(r.isub(e),a.isub(i),s.isub(u))}return{a:a,b:s,gcd:r.iushln(f)}},o.prototype._invmp=function(t){n(0===t.negative),n(!t.isZero());var e=this,r=t.clone();e=0!==e.negative?e.umod(t):e.clone();var i,u=new o(1),a=new o(0),s=r.clone();while(e.cmpn(1)>0&&r.cmpn(1)>0){for(var f=0,c=1;0===(e.words[0]&c)&&f<26;++f,c<<=1);if(f>0){e.iushrn(f);while(f-- >0)u.isOdd()&&u.iadd(s),u.iushrn(1)}for(var h=0,l=1;0===(r.words[0]&l)&&h<26;++h,l<<=1);if(h>0){r.iushrn(h);while(h-- >0)a.isOdd()&&a.iadd(s),a.iushrn(1)}e.cmp(r)>=0?(e.isub(r),u.isub(a)):(r.isub(e),a.isub(u))}return i=0===e.cmpn(1)?u:a,i.cmpn(0)<0&&i.iadd(t),i},o.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var e=this.clone(),r=t.clone();e.negative=0,r.negative=0;for(var n=0;e.isEven()&&r.isEven();n++)e.iushrn(1),r.iushrn(1);do{while(e.isEven())e.iushrn(1);while(r.isEven())r.iushrn(1);var i=e.cmp(r);if(i<0){var o=e;e=r,r=o}else if(0===i||0===r.cmpn(1))break;e.isub(r)}while(1);return r.iushln(n)},o.prototype.invm=function(t){return this.egcd(t).a.umod(t)},o.prototype.isEven=function(){return 0===(1&this.words[0])},o.prototype.isOdd=function(){return 1===(1&this.words[0])},o.prototype.andln=function(t){return this.words[0]&t},o.prototype.bincn=function(t){n("number"===typeof t);var e=t%26,r=(t-e)/26,i=1<<e;if(this.length<=r)return this._expand(r+1),this.words[r]|=i,this;for(var o=i,u=r;0!==o&&u<this.length;u++){var a=0|this.words[u];a+=o,o=a>>>26,a&=67108863,this.words[u]=a}return 0!==o&&(this.words[u]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.prototype.cmpn=function(t){var e,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)e=1;else{r&&(t=-t),n(t<=67108863,"Number is too big");var i=0|this.words[0];e=i===t?0:i<t?-1:1}return 0!==this.negative?0|-e:e},o.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var e=this.ucmp(t);return 0!==this.negative?0|-e:e},o.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var e=0,r=this.length-1;r>=0;r--){var n=0|this.words[r],i=0|t.words[r];if(n!==i){n<i?e=-1:n>i&&(e=1);break}}return e},o.prototype.gtn=function(t){return 1===this.cmpn(t)},o.prototype.gt=function(t){return 1===this.cmp(t)},o.prototype.gten=function(t){return this.cmpn(t)>=0},o.prototype.gte=function(t){return this.cmp(t)>=0},o.prototype.ltn=function(t){return-1===this.cmpn(t)},o.prototype.lt=function(t){return-1===this.cmp(t)},o.prototype.lten=function(t){return this.cmpn(t)<=0},o.prototype.lte=function(t){return this.cmp(t)<=0},o.prototype.eqn=function(t){return 0===this.cmpn(t)},o.prototype.eq=function(t){return 0===this.cmp(t)},o.red=function(t){return new E(t)},o.prototype.toRed=function(t){return n(!this.red,"Already a number in reduction context"),n(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},o.prototype.fromRed=function(){return n(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},o.prototype._forceRed=function(t){return this.red=t,this},o.prototype.forceRed=function(t){return n(!this.red,"Already a number in reduction context"),this._forceRed(t)},o.prototype.redAdd=function(t){return n(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},o.prototype.redIAdd=function(t){return n(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},o.prototype.redSub=function(t){return n(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},o.prototype.redISub=function(t){return n(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},o.prototype.redShl=function(t){return n(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},o.prototype.redMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},o.prototype.redIMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},o.prototype.redSqr=function(){return n(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},o.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},o.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},o.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},o.prototype.redNeg=function(){return n(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},o.prototype.redPow=function(t){return n(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var v={k256:null,p224:null,p192:null,p25519:null};function w(t,e){this.name=t,this.p=new o(e,16),this.n=this.p.bitLength(),this.k=new o(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function _(){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 A(){w.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function E(t){if("string"===typeof t){var e=o._prime(t);this.m=e.p,this.prime=e}else n(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function k(t){E.call(this,t),this.shift=this.m.bitLength(),this.shift%26!==0&&(this.shift+=26-this.shift%26),this.r=new o(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}w.prototype._tmp=function(){var t=new o(null);return t.words=new Array(Math.ceil(this.n/13)),t},w.prototype.ireduce=function(t){var e,r=t;do{this.split(r,this.tmp),r=this.imulK(r),r=r.iadd(this.tmp),e=r.bitLength()}while(e>this.n);var n=e<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):void 0!==r.strip?r.strip():r._strip(),r},w.prototype.split=function(t,e){t.iushrn(this.n,0,e)},w.prototype.imulK=function(t){return t.imul(this.k)},i(_,w),_.prototype.split=function(t,e){for(var r=4194303,n=Math.min(t.length,9),i=0;i<n;i++)e.words[i]=t.words[i];if(e.length=n,t.length<=9)return t.words[0]=0,void(t.length=1);var o=t.words[9];for(e.words[e.length++]=o&r,i=10;i<t.length;i++){var u=0|t.words[i];t.words[i-10]=(u&r)<<4|o>>>22,o=u}o>>>=22,t.words[i-10]=o,0===o&&t.length>10?t.length-=10:t.length-=9},_.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var e=0,r=0;r<t.length;r++){var n=0|t.words[r];e+=977*n,t.words[r]=67108863&e,e=64*n+(e/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},i(M,w),i(S,w),i(A,w),A.prototype.imulK=function(t){for(var e=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+e,i=67108863&n;n>>>=26,t.words[r]=i,e=n}return 0!==e&&(t.words[t.length++]=e),t},o._prime=function(t){if(v[t])return v[t];var e;if("k256"===t)e=new _;else if("p224"===t)e=new M;else if("p192"===t)e=new S;else{if("p25519"!==t)throw new Error("Unknown prime "+t);e=new A}return v[t]=e,e},E.prototype._verify1=function(t){n(0===t.negative,"red works only with positives"),n(t.red,"red works only with red numbers")},E.prototype._verify2=function(t,e){n(0===(t.negative|e.negative),"red works only with positives"),n(t.red&&t.red===e.red,"red works only with red numbers")},E.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},E.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},E.prototype.add=function(t,e){this._verify2(t,e);var r=t.add(e);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},E.prototype.iadd=function(t,e){this._verify2(t,e);var r=t.iadd(e);return r.cmp(this.m)>=0&&r.isub(this.m),r},E.prototype.sub=function(t,e){this._verify2(t,e);var r=t.sub(e);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},E.prototype.isub=function(t,e){this._verify2(t,e);var r=t.isub(e);return r.cmpn(0)<0&&r.iadd(this.m),r},E.prototype.shl=function(t,e){return this._verify1(t),this.imod(t.ushln(e))},E.prototype.imul=function(t,e){return this._verify2(t,e),this.imod(t.imul(e))},E.prototype.mul=function(t,e){return this._verify2(t,e),this.imod(t.mul(e))},E.prototype.isqr=function(t){return this.imul(t,t.clone())},E.prototype.sqr=function(t){return this.mul(t,t)},E.prototype.sqrt=function(t){if(t.isZero())return t.clone();var e=this.m.andln(3);if(n(e%2===1),3===e){var r=this.m.add(new o(1)).iushrn(2);return this.pow(t,r)}var i=this.m.subn(1),u=0;while(!i.isZero()&&0===i.andln(1))u++,i.iushrn(1);n(!i.isZero());var a=new o(1).toRed(this),s=a.redNeg(),f=this.m.subn(1).iushrn(1),c=this.m.bitLength();c=new 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