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bt=(a+(e=e+Math.imul(m,rt)|0)|0)+((8191&(n=(n=n+Math.imul(m,et)|0)+Math.imul(f,rt)|0))<<13)|0;a=((h=h+Math.imul(f,et)|0)+(n>>>13)|0)+(bt>>>26)|0,bt&=67108863,e=Math.imul(R,F),n=(n=Math.imul(R,J))+Math.imul(q,F)|0,h=Math.imul(q,J),e=e+Math.imul(x,D)|0,n=(n=n+Math.imul(x,H)|0)+Math.imul(B,D)|0,h=h+Math.imul(B,H)|0,e=e+Math.imul(k,X)|0,n=(n=n+Math.imul(k,G)|0)+Math.imul(A,X)|0,h=h+Math.imul(A,G)|0,e=e+Math.imul(y,V)|0,n=(n=n+Math.imul(y,W)|0)+Math.imul(b,V)|0,h=h+Math.imul(b,W)|0,e=e+Math.imul(c,$)|0,n=(n=n+Math.imul(c,tt)|0)+Math.imul(g,$)|0,h=h+Math.imul(g,tt)|0,e=e+Math.imul(p,rt)|0,n=(n=n+Math.imul(p,et)|0)+Math.imul(M,rt)|0,h=h+Math.imul(M,et)|0;var _t=(a+(e=e+Math.imul(m,ht)|0)|0)+((8191&(n=(n=n+Math.imul(m,ot)|0)+Math.imul(f,ht)|0))<<13)|0;a=((h=h+Math.imul(f,ot)|0)+(n>>>13)|0)+(_t>>>26)|0,_t&=67108863,e=Math.imul(N,F),n=(n=Math.imul(N,J))+Math.imul(P,F)|0,h=Math.imul(P,J),e=e+Math.imul(R,D)|0,n=(n=n+Math.imul(R,H)|0)+Math.imul(q,D)|0,h=h+Math.imul(q,H)|0,e=e+Math.imul(x,X)|0,n=(n=n+Math.imul(x,G)|0)+Math.imul(B,X)|0,h=h+Math.imul(B,G)|0,e=e+Math.imul(k,V)|0,n=(n=n+Math.imul(k,W)|0)+Math.imul(A,V)|0,h=h+Math.imul(A,W)|0,e=e+Math.imul(y,$)|0,n=(n=n+Math.imul(y,tt)|0)+Math.imul(b,$)|0,h=h+Math.imul(b,tt)|0,e=e+Math.imul(c,rt)|0,n=(n=n+Math.imul(c,et)|0)+Math.imul(g,rt)|0,h=h+Math.imul(g,et)|0,e=e+Math.imul(p,ht)|0,n=(n=n+Math.imul(p,ot)|0)+Math.imul(M,ht)|0,h=h+Math.imul(M,ot)|0;var kt=(a+(e=e+Math.imul(m,ut)|0)|0)+((8191&(n=(n=n+Math.imul(m,at)|0)+Math.imul(f,ut)|0))<<13)|0;a=((h=h+Math.imul(f,at)|0)+(n>>>13)|0)+(kt>>>26)|0,kt&=67108863,e=Math.imul(I,F),n=(n=Math.imul(I,J))+Math.imul(K,F)|0,h=Math.imul(K,J),e=e+Math.imul(N,D)|0,n=(n=n+Math.imul(N,H)|0)+Math.imul(P,D)|0,h=h+Math.imul(P,H)|0,e=e+Math.imul(R,X)|0,n=(n=n+Math.imul(R,G)|0)+Math.imul(q,X)|0,h=h+Math.imul(q,G)|0,e=e+Math.imul(x,V)|0,n=(n=n+Math.imul(x,W)|0)+Math.imul(B,V)|0,h=h+Math.imul(B,W)|0,e=e+Math.imul(k,$)|0,n=(n=n+Math.imul(k,tt)|0)+Math.imul(A,$)|0,h=h+Math.imul(A,tt)|0,e=e+Math.imul(y,rt)|0,n=(n=n+Math.imul(y,et)|0)+Math.imul(b,rt)|0,h=h+Math.imul(b,et)|0,e=e+Math.imul(c,ht)|0,n=(n=n+Math.imul(c,ot)|0)+Math.imul(g,ht)|0,h=h+Math.imul(g,ot)|0,e=e+Math.imul(p,ut)|0,n=(n=n+Math.imul(p,at)|0)+Math.imul(M,ut)|0,h=h+Math.imul(M,at)|0;var At=(a+(e=e+Math.imul(m,mt)|0)|0)+((8191&(n=(n=n+Math.imul(m,ft)|0)+Math.imul(f,mt)|0))<<13)|0;a=((h=h+Math.imul(f,ft)|0)+(n>>>13)|0)+(At>>>26)|0,At&=67108863,e=Math.imul(E,F),n=(n=Math.imul(E,J))+Math.imul(O,F)|0,h=Math.imul(O,J),e=e+Math.imul(I,D)|0,n=(n=n+Math.imul(I,H)|0)+Math.imul(K,D)|0,h=h+Math.imul(K,H)|0,e=e+Math.imul(N,X)|0,n=(n=n+Math.imul(N,G)|0)+Math.imul(P,X)|0,h=h+Math.imul(P,G)|0,e=e+Math.imul(R,V)|0,n=(n=n+Math.imul(R,W)|0)+Math.imul(q,V)|0,h=h+Math.imul(q,W)|0,e=e+Math.imul(x,$)|0,n=(n=n+Math.imul(x,tt)|0)+Math.imul(B,$)|0,h=h+Math.imul(B,tt)|0,e=e+Math.imul(k,rt)|0,n=(n=n+Math.imul(k,et)|0)+Math.imul(A,rt)|0,h=h+Math.imul(A,et)|0,e=e+Math.imul(y,ht)|0,n=(n=n+Math.imul(y,ot)|0)+Math.imul(b,ht)|0,h=h+Math.imul(b,ot)|0,e=e+Math.imul(c,ut)|0,n=(n=n+Math.imul(c,at)|0)+Math.imul(g,ut)|0,h=h+Math.imul(g,at)|0,e=e+Math.imul(p,mt)|0,n=(n=n+Math.imul(p,ft)|0)+Math.imul(M,mt)|0,h=h+Math.imul(M,ft)|0;var St=(a+(e=e+Math.imul(m,pt)|0)|0)+((8191&(n=(n=n+Math.imul(m,Mt)|0)+Math.imul(f,pt)|0))<<13)|0;a=((h=h+Math.imul(f,Mt)|0)+(n>>>13)|0)+(St>>>26)|0,St&=67108863,e=Math.imul(E,D),n=(n=Math.imul(E,H))+Math.imul(O,D)|0,h=Math.imul(O,H),e=e+Math.imul(I,X)|0,n=(n=n+Math.imul(I,G)|0)+Math.imul(K,X)|0,h=h+Math.imul(K,G)|0,e=e+Math.imul(N,V)|0,n=(n=n+Math.imul(N,W)|0)+Math.imul(P,V)|0,h=h+Math.imul(P,W)|0,e=e+Math.imul(R,$)|0,n=(n=n+Math.imul(R,tt)|0)+Math.imul(q,$)|0,h=h+Math.imul(q,tt)|0,e=e+Math.imul(x,rt)|0,n=(n=n+Math.imul(x,et)|0)+Math.imul(B,rt)|0,h=h+Math.imul(B,et)|0,e=e+Math.imul(k,ht)|0,n=(n=n+Math.imul(k,ot)|0)+Math.imul(A,ht)|0,h=h+Math.imul(A,ot)|0,e=e+Math.imul(y,ut)|0,n=(n=n+Math.imul(y,at)|0)+Math.imul(b,ut)|0,h=h+Math.imul(b,at)|0,e=e+Math.imul(c,mt)|0,n=(n=n+Math.imul(c,ft)|0)+Math.imul(g,mt)|0,h=h+Math.imul(g,ft)|0;var xt=(a+(e=e+Math.imul(p,pt)|0)|0)+((8191&(n=(n=n+Math.imul(p,Mt)|0)+Math.imul(M,pt)|0))<<13)|0;a=((h=h+Math.imul(M,Mt)|0)+(n>>>13)|0)+(xt>>>26)|0,xt&=67108863,e=Math.imul(E,X),n=(n=Math.imul(E,G))+Math.imul(O,X)|0,h=Math.imul(O,G),e=e+Math.imul(I,V)|0,n=(n=n+Math.imul(I,W)|0)+Math.imul(K,V)|0,h=h+Math.imul(K,W)|0,e=e+Math.imul(N,$)|0,n=(n=n+Math.imul(N,tt)|0)+Math.imul(P,$)|0,h=h+Math.imul(P,tt)|0,e=e+Math.imul(R,rt)|0,n=(n=n+Math.imul(R,et)|0)+Math.imul(q,rt)|0,h=h+Math.imul(q,et)|0,e=e+Math.imul(x,ht)|0,n=(n=n+Math.imul(x,ot)|0)+Math.imul(B,ht)|0,h=h+Math.imul(B,ot)|0,e=e+Math.imul(k,ut)|0,n=(n=n+Math.imul(k,at)|0)+Math.imul(A,ut)|0,h=h+Math.imul(A,at)|0,e=e+Math.imul(y,mt)|0,n=(n=n+Math.imul(y,ft)|0)+Math.imul(b,mt)|0,h=h+Math.imul(b,ft)|0;var Bt=(a+(e=e+Math.imul(c,pt)|0)|0)+((8191&(n=(n=n+Math.imul(c,Mt)|0)+Math.imul(g,pt)|0))<<13)|0;a=((h=h+Math.imul(g,Mt)|0)+(n>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,e=Math.imul(E,V),n=(n=Math.imul(E,W))+Math.imul(O,V)|0,h=Math.imul(O,W),e=e+Math.imul(I,$)|0,n=(n=n+Math.imul(I,tt)|0)+Math.imul(K,$)|0,h=h+Math.imul(K,tt)|0,e=e+Math.imul(N,rt)|0,n=(n=n+Math.imul(N,et)|0)+Math.imul(P,rt)|0,h=h+Math.imul(P,et)|0,e=e+Math.imul(R,ht)|0,n=(n=n+Math.imul(R,ot)|0)+Math.imul(q,ht)|0,h=h+Math.imul(q,ot)|0,e=e+Math.imul(x,ut)|0,n=(n=n+Math.imul(x,at)|0)+Math.imul(B,ut)|0,h=h+Math.imul(B,at)|0,e=e+Math.imul(k,mt)|0,n=(n=n+Math.imul(k,ft)|0)+Math.imul(A,mt)|0,h=h+Math.imul(A,ft)|0;var Zt=(a+(e=e+Math.imul(y,pt)|0)|0)+((8191&(n=(n=n+Math.imul(y,Mt)|0)+Math.imul(b,pt)|0))<<13)|0;a=((h=h+Math.imul(b,Mt)|0)+(n>>>13)|0)+(Zt>>>26)|0,Zt&=67108863,e=Math.imul(E,$),n=(n=Math.imul(E,tt))+Math.imul(O,$)|0,h=Math.imul(O,tt),e=e+Math.imul(I,rt)|0,n=(n=n+Math.imul(I,et)|0)+Math.imul(K,rt)|0,h=h+Math.imul(K,et)|0,e=e+Math.imul(N,ht)|0,n=(n=n+Math.imul(N,ot)|0)+Math.imul(P,ht)|0,h=h+Math.imul(P,ot)|0,e=e+Math.imul(R,ut)|0,n=(n=n+Math.imul(R,at)|0)+Math.imul(q,ut)|0,h=h+Math.imul(q,at)|0,e=e+Math.imul(x,mt)|0,n=(n=n+Math.imul(x,ft)|0)+Math.imul(B,mt)|0,h=h+Math.imul(B,ft)|0;var Rt=(a+(e=e+Math.imul(k,pt)|0)|0)+((8191&(n=(n=n+Math.imul(k,Mt)|0)+Math.imul(A,pt)|0))<<13)|0;a=((h=h+Math.imul(A,Mt)|0)+(n>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,e=Math.imul(E,rt),n=(n=Math.imul(E,et))+Math.imul(O,rt)|0,h=Math.imul(O,et),e=e+Math.imul(I,ht)|0,n=(n=n+Math.imul(I,ot)|0)+Math.imul(K,ht)|0,h=h+Math.imul(K,ot)|0,e=e+Math.imul(N,ut)|0,n=(n=n+Math.imul(N,at)|0)+Math.imul(P,ut)|0,h=h+Math.imul(P,at)|0,e=e+Math.imul(R,mt)|0,n=(n=n+Math.imul(R,ft)|0)+Math.imul(q,mt)|0,h=h+Math.imul(q,ft)|0;var qt=(a+(e=e+Math.imul(x,pt)|0)|0)+((8191&(n=(n=n+Math.imul(x,Mt)|0)+Math.imul(B,pt)|0))<<13)|0;a=((h=h+Math.imul(B,Mt)|0)+(n>>>13)|0)+(qt>>>26)|0,qt&=67108863,e=Math.imul(E,ht),n=(n=Math.imul(E,ot))+Math.imul(O,ht)|0,h=Math.imul(O,ot),e=e+Math.imul(I,ut)|0,n=(n=n+Math.imul(I,at)|0)+Math.imul(K,ut)|0,h=h+Math.imul(K,at)|0,e=e+Math.imul(N,mt)|0,n=(n=n+Math.imul(N,ft)|0)+Math.imul(P,mt)|0,h=h+Math.imul(P,ft)|0;var Lt=(a+(e=e+Math.imul(R,pt)|0)|0)+((8191&(n=(n=n+Math.imul(R,Mt)|0)+Math.imul(q,pt)|0))<<13)|0;a=((h=h+Math.imul(q,Mt)|0)+(n>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,e=Math.imul(E,ut),n=(n=Math.imul(E,at))+Math.imul(O,ut)|0,h=Math.imul(O,at),e=e+Math.imul(I,mt)|0,n=(n=n+Math.imul(I,ft)|0)+Math.imul(K,mt)|0,h=h+Math.imul(K,ft)|0;var Nt=(a+(e=e+Math.imul(N,pt)|0)|0)+((8191&(n=(n=n+Math.imul(N,Mt)|0)+Math.imul(P,pt)|0))<<13)|0;a=((h=h+Math.imul(P,Mt)|0)+(n>>>13)|0)+(Nt>>>26)|0,Nt&=67108863,e=Math.imul(E,mt),n=(n=Math.imul(E,ft))+Math.imul(O,mt)|0,h=Math.imul(O,ft);var Pt=(a+(e=e+Math.imul(I,pt)|0)|0)+((8191&(n=(n=n+Math.imul(I,Mt)|0)+Math.imul(K,pt)|0))<<13)|0;a=((h=h+Math.imul(K,Mt)|0)+(n>>>13)|0)+(Pt>>>26)|0,Pt&=67108863;var Tt=(a+(e=Math.imul(E,pt))|0)+((8191&(n=(n=Math.imul(E,Mt))+Math.imul(O,pt)|0))<<13)|0;return a=((h=Math.imul(O,Mt))+(n>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,u[0]=vt,u[1]=ct,u[2]=gt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=kt,u[8]=At,u[9]=St,u[10]=xt,u[11]=Bt,u[12]=Zt,u[13]=Rt,u[14]=qt,u[15]=Lt,u[16]=Nt,u[17]=Pt,u[18]=Tt,0!==a&&(u[19]=a,r.length++),r};function p(t,i,r){return(new M).mulp(t,i,r)}function M(t,i){this.x=t,this.y=i}Math.imul||(d=f),h.prototype.mulTo=function(t,i){var r=this.length+t.length;return 10===this.length&&10===t.length?d(this,t,i):r<63?f(this,t,i):r<1024?function(t,i,r){r.negative=i.negative^t.negative,r.length=t.length+i.length;for(var e=0,n=0,h=0;h<r.length-1;h++){var o=n;n=0;for(var s=67108863&e,u=Math.min(h,i.length-1),a=Math.max(0,h-t.length+1);a<=u;a++){var l=h-a,m=(0|t.words[l])*(0|i.words[a]),f=67108863&m;s=67108863&(f=f+s|0),n+=(o=(o=o+(m/67108864|0)|0)+(f>>>26)|0)>>>26,o&=67108863}r.words[h]=s,e=o,o=n}return 0!==e?r.words[h]=e:r.length--,r.strip()}(this,t,i):p(this,t,i)},M.prototype.makeRBT=function(t){for(var i=new Array(t),r=h.prototype._countBits(t)-1,e=0;e<t;e++)i[e]=this.revBin(e,r,t);return i},M.prototype.revBin=function(t,i,r){if(0===t||t===r-1)return t;for(var e=0,n=0;n<i;n++)e|=(1&t)<<i-n-1,t>>=1;return e},M.prototype.permute=function(t,i,r,e,n,h){for(var o=0;o<h;o++)e[o]=i[t[o]],n[o]=r[t[o]]},M.prototype.transform=function(t,i,r,e,n,h){this.permute(h,t,i,r,e,n);for(var o=1;o<n;o<<=1)for(var s=o<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),l=0;l<n;l+=s)for(var m=u,f=a,d=0;d<o;d++){var p=r[l+d],M=e[l+d],v=r[l+d+o],c=e[l+d+o],g=m*v-f*c;c=m*c+f*v,v=g,r[l+d]=p+v,e[l+d]=M+c,r[l+d+o]=p-v,e[l+d+o]=M-c,d!==s&&(g=u*m-a*f,f=u*f+a*m,m=g)}},M.prototype.guessLen13b=function(t,i){var r=1|Math.max(i,t),e=1&r,n=0;for(r=r/2|0;r;r>>>=1)n++;return 1<<n+1+e},M.prototype.conjugate=function(t,i,r){if(!(r<=1))for(var e=0;e<r/2;e++){var n=t[e];t[e]=t[r-e-1],t[r-e-1]=n,n=i[e],i[e]=-i[r-e-1],i[r-e-1]=-n}},M.prototype.normalize13b=function(t,i){for(var r=0,e=0;e<i/2;e++){var n=8192*Math.round(t[2*e+1]/i)+Math.round(t[2*e]/i)+r;t[e]=67108863&n,r=n<67108864?0:n/67108864|0}return t},M.prototype.convert13b=function(t,i,r,n){for(var h=0,o=0;o<i;o++)h+=0|t[o],r[2*o]=8191&h,h>>>=13,r[2*o+1]=8191&h,h>>>=13;for(o=2*i;o<n;++o)r[o]=0;e(0===h),e(0==(-8192&h))},M.prototype.stub=function(t){for(var i=new Array(t),r=0;r<t;r++)i[r]=0;return i},M.prototype.mulp=function(t,i,r){var e=2*this.guessLen13b(t.length,i.length),n=this.makeRBT(e),h=this.stub(e),o=new Array(e),s=new Array(e),u=new Array(e),a=new Array(e),l=new Array(e),m=new Array(e),f=r.words;f.length=e,this.convert13b(t.words,t.length,o,e),this.convert13b(i.words,i.length,a,e),this.transform(o,h,s,u,e,n),this.transform(a,h,l,m,e,n);for(var d=0;d<e;d++){var p=s[d]*l[d]-u[d]*m[d];u[d]=s[d]*m[d]+u[d]*l[d],s[d]=p}return this.conjugate(s,u,e),this.transform(s,u,f,h,e,n),this.conjugate(f,h,e),this.normalize13b(f,e),r.negative=t.negative^i.negative,r.length=t.length+i.length,r.strip()},h.prototype.mul=function(t){var i=new h(null);return i.words=new Array(this.length+t.length),this.mulTo(t,i)},h.prototype.mulf=function(t){var i=new h(null);return i.words=new Array(this.length+t.length),p(this,t,i)},h.prototype.imul=function(t){return this.clone().mulTo(t,this)},h.prototype.imuln=function(t){e("number"==typeof t),e(t<67108864);for(var i=0,r=0;r<this.length;r++){var n=(0|this.words[r])*t,h=(67108863&n)+(67108863&i);i>>=26,i+=n/67108864|0,i+=h>>>26,this.words[r]=67108863&h}return 0!==i&&(this.words[r]=i,this.length++),this},h.prototype.muln=function(t){return this.clone().imuln(t)},h.prototype.sqr=function(){return this.mul(this)},h.prototype.isqr=function(){return this.imul(this.clone())},h.prototype.pow=function(t){var i=function(t){for(var i=new Array(t.bitLength()),r=0;r<i.length;r++){var e=r/26|0,n=r%26;i[r]=(t.words[e]&1<<n)>>>n}return i}(t);if(0===i.length)return new h(1);for(var r=this,e=0;e<i.length&&0===i[e];e++,r=r.sqr());if(++e<i.length)for(var n=r.sqr();e<i.length;e++,n=n.sqr())0!==i[e]&&(r=r.mul(n));return r},h.prototype.iushln=function(t){e("number"==typeof t&&t>=0);var i,r=t%26,n=(t-r)/26,h=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(i=0;i<this.length;i++){var s=this.words[i]&h,u=(0|this.words[i])-s<<r;this.words[i]=u|o,o=s>>>26-r}o&&(this.words[i]=o,this.length++)}if(0!==n){for(i=this.length-1;i>=0;i--)this.words[i+n]=this.words[i];for(i=0;i<n;i++)this.words[i]=0;this.length+=n}return this.strip()},h.prototype.ishln=function(t){return e(0===this.negative),this.iushln(t)},h.prototype.iushrn=function(t,i,r){var n;e("number"==typeof t&&t>=0),n=i?(i-i%26)/26:0;var h=t%26,o=Math.min((t-h)/26,this.length),s=67108863^67108863>>>h<<h,u=r;if(n-=o,n=Math.max(0,n),u){for(var a=0;a<o;a++)u.words[a]=this.words[a];u.length=o}if(0===o);else if(this.length>o)for(this.length-=o,a=0;a<this.length;a++)this.words[a]=this.words[a+o];else this.words[0]=0,this.length=1;var l=0;for(a=this.length-1;a>=0&&(0!==l||a>=n);a--){var m=0|this.words[a];this.words[a]=l<<26-h|m>>>h,l=m&s}return u&&0!==l&&(u.words[u.length++]=l),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},h.prototype.ishrn=function(t,i,r){return e(0===this.negative),this.iushrn(t,i,r)},h.prototype.shln=function(t){return this.clone().ishln(t)},h.prototype.ushln=function(t){return this.clone().iushln(t)},h.prototype.shrn=function(t){return this.clone().ishrn(t)},h.prototype.ushrn=function(t){return this.clone().iushrn(t)},h.prototype.testn=function(t){e("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26,n=1<<i;return!(this.length<=r)&&!!(this.words[r]&n)},h.prototype.imaskn=function(t){e("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26;if(e(0===this.negative,"imaskn works only with positive numbers"),this.length<=r)return this;if(0!==i&&r++,this.length=Math.min(r,this.length),0!==i){var n=67108863^67108863>>>i<<i;this.words[this.length-1]&=n}return this.strip()},h.prototype.maskn=function(t){return this.clone().imaskn(t)},h.prototype.iaddn=function(t){return e("number"==typeof t),e(t<67108864),t<0?this.isubn(-t):0!==this.negative?1===this.length&&(0|this.words[0])<t?(this.words[0]=t-(0|this.words[0]),this.negative=0,this):(this.negative=0,this.isubn(t),this.negative=1,this):this._iaddn(t)},h.prototype._iaddn=function(t){this.words[0]+=t;for(var i=0;i<this.length&&this.words[i]>=67108864;i++)this.words[i]-=67108864,i===this.length-1?this.words[i+1]=1:this.words[i+1]++;return this.length=Math.max(this.length,i+1),this},h.prototype.isubn=function(t){if(e("number"==typeof t),e(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var i=0;i<this.length&&this.words[i]<0;i++)this.words[i]+=67108864,this.words[i+1]-=1;return this.strip()},h.prototype.addn=function(t){return this.clone().iaddn(t)},h.prototype.subn=function(t){return this.clone().isubn(t)},h.prototype.iabs=function(){return this.negative=0,this},h.prototype.abs=function(){return this.clone().iabs()},h.prototype._ishlnsubmul=function(t,i,r){var n,h,o=t.length+r;this._expand(o);var s=0;for(n=0;n<t.length;n++){h=(0|this.words[n+r])+s;var u=(0|t.words[n])*i;s=((h-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&h}for(;n<this.length-r;n++)s=(h=(0|this.words[n+r])+s)>>26,this.words[n+r]=67108863&h;if(0===s)return this.strip();for(e(-1===s),s=0,n=0;n<this.length;n++)s=(h=-(0|this.words[n])+s)>>26,this.words[n]=67108863&h;return this.negative=1,this.strip()},h.prototype._wordDiv=function(t,i){var r=(this.length,t.length),e=this.clone(),n=t,o=0|n.words[n.length-1];0!==(r=26-this._countBits(o))&&(n=n.ushln(r),e.iushln(r),o=0|n.words[n.length-1]);var s,u=e.length-n.length;if("mod"!==i){(s=new h(null)).length=u+1,s.words=new Array(s.length);for(var a=0;a<s.length;a++)s.words[a]=0}var l=e.clone()._ishlnsubmul(n,1,u);0===l.negative&&(e=l,s&&(s.words[u]=1));for(var m=u-1;m>=0;m--){var f=67108864*(0|e.words[n.length+m])+(0|e.words[n.length+m-1]);for(f=Math.min(f/o|0,67108863),e._ishlnsubmul(n,f,m);0!==e.negative;)f--,e.negative=0,e._ishlnsubmul(n,1,m),e.isZero()||(e.negative^=1);s&&(s.words[m]=f)}return s&&s.strip(),e.strip(),"div"!==i&&0!==r&&e.iushrn(r),{div:s||null,mod:e}},h.prototype.divmod=function(t,i,r){return e(!t.isZero()),this.isZero()?{div:new h(0),mod:new h(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,i),"mod"!==i&&(n=s.div.neg()),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:n,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(n=s.div.neg()),{div:n,mod:s.mod}):0!=(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),i),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.isub(t)),{div:s.div,mod:o}):t.length>this.length||this.cmp(t)<0?{div:new h(0),mod:this}:1===t.length?"div"===i?{div:this.divn(t.words[0]),mod:null}:"mod"===i?{div:null,mod:new h(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new h(this.modn(t.words[0]))}:this._wordDiv(t,i);var n,o,s},h.prototype.div=function(t){return this.divmod(t,"div",!1).div},h.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},h.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},h.prototype.divRound=function(t){var i=this.divmod(t);if(i.mod.isZero())return i.div;var r=0!==i.div.negative?i.mod.isub(t):i.mod,e=t.ushrn(1),n=t.andln(1),h=r.cmp(e);return h<0||1===n&&0===h?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},h.prototype.modn=function(t){e(t<=67108863);for(var i=(1<<26)%t,r=0,n=this.length-1;n>=0;n--)r=(i*r+(0|this.words[n]))%t;return r},h.prototype.idivn=function(t){e(t<=67108863);for(var i=0,r=this.length-1;r>=0;r--){var n=(0|this.words[r])+67108864*i;this.words[r]=n/t|0,i=n%t}return this.strip()},h.prototype.divn=function(t){return this.clone().idivn(t)},h.prototype.egcd=function(t){e(0===t.negative),e(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var n=new h(1),o=new h(0),s=new h(0),u=new h(1),a=0;i.isEven()&&r.isEven();)i.iushrn(1),r.iushrn(1),++a;for(var l=r.clone(),m=i.clone();!i.isZero();){for(var f=0,d=1;0==(i.words[0]&d)&&f<26;++f,d<<=1);if(f>0)for(i.iushrn(f);f-- >0;)(n.isOdd()||o.isOdd())&&(n.iadd(l),o.isub(m)),n.iushrn(1),o.iushrn(1);for(var p=0,M=1;0==(r.words[0]&M)&&p<26;++p,M<<=1);if(p>0)for(r.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(l),u.isub(m)),s.iushrn(1),u.iushrn(1);i.cmp(r)>=0?(i.isub(r),n.isub(s),o.isub(u)):(r.isub(i),s.isub(n),u.isub(o))}return{a:s,b:u,gcd:r.iushln(a)}},h.prototype._invmp=function(t){e(0===t.negative),e(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var n,o=new h(1),s=new h(0),u=r.clone();i.cmpn(1)>0&&r.cmpn(1)>0;){for(var a=0,l=1;0==(i.words[0]&l)&&a<26;++a,l<<=1);if(a>0)for(i.iushrn(a);a-- >0;)o.isOdd()&&o.iadd(u),o.iushrn(1);for(var m=0,f=1;0==(r.words[0]&f)&&m<26;++m,f<<=1);if(m>0)for(r.iushrn(m);m-- >0;)s.isOdd()&&s.iadd(u),s.iushrn(1);i.cmp(r)>=0?(i.isub(r),o.isub(s)):(r.isub(i),s.isub(o))}return(n=0===i.cmpn(1)?o:s).cmpn(0)<0&&n.iadd(t),n},h.prototype.gcd=function(t){if(this.isZero())return t.abs();if(t.isZero())return this.abs();var i=this.clone(),r=t.clone();i.negative=0,r.negative=0;for(var e=0;i.isEven()&&r.isEven();e++)i.iushrn(1),r.iushrn(1);for(;;){for(;i.isEven();)i.iushrn(1);for(;r.isEven();)r.iushrn(1);var n=i.cmp(r);if(n<0){var h=i;i=r,r=h}else if(0===n||0===r.cmpn(1))break;i.isub(r)}return r.iushln(e)},h.prototype.invm=function(t){return this.egcd(t).a.umod(t)},h.prototype.isEven=function(){return 0==(1&this.words[0])},h.prototype.isOdd=function(){return 1==(1&this.words[0])},h.prototype.andln=function(t){return this.words[0]&t},h.prototype.bincn=function(t){e("number"==typeof t);var i=t%26,r=(t-i)/26,n=1<<i;if(this.length<=r)return this._expand(r+1),this.words[r]|=n,this;for(var h=n,o=r;0!==h&&o<this.length;o++){var s=0|this.words[o];h=(s+=h)>>>26,s&=67108863,this.words[o]=s}return 0!==h&&(this.words[o]=h,this.length++),this},h.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},h.prototype.cmpn=function(t){var i,r=t<0;if(0!==this.negative&&!r)return-1;if(0===this.negative&&r)return 1;if(this.strip(),this.length>1)i=1;else{r&&(t=-t),e(t<=67108863,"Number is too big");var n=0|this.words[0];i=n===t?0:n<t?-1:1}return 0!==this.negative?0|-i:i},h.prototype.cmp=function(t){if(0!==this.negative&&0===t.negative)return-1;if(0===this.negative&&0!==t.negative)return 1;var i=this.ucmp(t);return 0!==this.negative?0|-i:i},h.prototype.ucmp=function(t){if(this.length>t.length)return 1;if(this.length<t.length)return-1;for(var i=0,r=this.length-1;r>=0;r--){var e=0|this.words[r],n=0|t.words[r];if(e!==n){e<n?i=-1:e>n&&(i=1);break}}return i},h.prototype.gtn=function(t){return 1===this.cmpn(t)},h.prototype.gt=function(t){return 1===this.cmp(t)},h.prototype.gten=function(t){return this.cmpn(t)>=0},h.prototype.gte=function(t){return this.cmp(t)>=0},h.prototype.ltn=function(t){return-1===this.cmpn(t)},h.prototype.lt=function(t){return-1===this.cmp(t)},h.prototype.lten=function(t){return this.cmpn(t)<=0},h.prototype.lte=function(t){return this.cmp(t)<=0},h.prototype.eqn=function(t){return 0===this.cmpn(t)},h.prototype.eq=function(t){return 0===this.cmp(t)},h.red=function(t){return new _(t)},h.prototype.toRed=function(t){return e(!this.red,"Already a number in reduction context"),e(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},h.prototype.fromRed=function(){return e(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},h.prototype._forceRed=function(t){return this.red=t,this},h.prototype.forceRed=function(t){return e(!this.red,"Already a number in reduction context"),this._forceRed(t)},h.prototype.redAdd=function(t){return e(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},h.prototype.redIAdd=function(t){return e(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},h.prototype.redSub=function(t){return e(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},h.prototype.redISub=function(t){return e(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},h.prototype.redShl=function(t){return e(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},h.prototype.redMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},h.prototype.redIMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},h.prototype.redSqr=function(){return e(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},h.prototype.redISqr=function(){return e(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},h.prototype.redSqrt=function(){return e(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},h.prototype.redInvm=function(){return e(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},h.prototype.redNeg=function(){return e(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},h.prototype.redPow=function(t){return e(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 c(t,i){this.name=t,this.p=new h(i,16),this.n=this.p.bitLength(),this.k=new h(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function g(){c.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function w(){c.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function y(){c.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function b(){c.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function _(t){if("string"==typeof t){var i=h._prime(t);this.m=i.p,this.prime=i}else e(t.gtn(1),"modulus must be greater than 1"),this.m=t,this.prime=null}function k(t){_.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new h(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)}c.prototype._tmp=function(){var t=new h(null);return t.words=new Array(Math.ceil(this.n/13)),t},c.prototype.ireduce=function(t){var i,r=t;do{this.split(r,this.tmp),i=(r=(r=this.imulK(r)).iadd(this.tmp)).bitLength()}while(i>this.n);var e=i<this.n?-1:r.ucmp(this.p);return 0===e?(r.words[0]=0,r.length=1):e>0?r.isub(this.p):r.strip(),r},c.prototype.split=function(t,i){t.iushrn(this.n,0,i)},c.prototype.imulK=function(t){return t.imul(this.k)},n(g,c),g.prototype.split=function(t,i){for(var r=4194303,e=Math.min(t.length,9),n=0;n<e;n++)i.words[n]=t.words[n];if(i.length=e,t.length<=9)return t.words[0]=0,void(t.length=1);var h=t.words[9];for(i.words[i.length++]=h&r,n=10;n<t.length;n++){var o=0|t.words[n];t.words[n-10]=(o&r)<<4|h>>>22,h=o}h>>>=22,t.words[n-10]=h,0===h&&t.length>10?t.length-=10:t.length-=9},g.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var i=0,r=0;r<t.length;r++){var e=0|t.words[r];i+=977*e,t.words[r]=67108863&i,i=64*e+(i/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},n(w,c),n(y,c),n(b,c),b.prototype.imulK=function(t){for(var i=0,r=0;r<t.length;r++){var e=19*(0|t.words[r])+i,n=67108863&e;e>>>=26,t.words[r]=n,i=e}return 0!==i&&(t.words[t.length++]=i),t},h._prime=function(t){if(v[t])return v[t];var i;if("k256"===t)i=new g;else if("p224"===t)i=new w;else if("p192"===t)i=new y;else{if("p25519"!==t)throw new Error("Unknown prime "+t);i=new b}return v[t]=i,i},_.prototype._verify1=function(t){e(0===t.negative,"red works only with positives"),e(t.red,"red works only with red numbers")},_.prototype._verify2=function(t,i){e(0==(t.negative|i.negative),"red works only with positives"),e(t.red&&t.red===i.red,"red works only with red numbers")},_.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},_.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},_.prototype.add=function(t,i){this._verify2(t,i);var r=t.add(i);return r.cmp(this.m)>=0&&r.isub(this.m),r._forceRed(this)},_.prototype.iadd=function(t,i){this._verify2(t,i);var r=t.iadd(i);return r.cmp(this.m)>=0&&r.isub(this.m),r},_.prototype.sub=function(t,i){this._verify2(t,i);var r=t.sub(i);return r.cmpn(0)<0&&r.iadd(this.m),r._forceRed(this)},_.prototype.isub=function(t,i){this._verify2(t,i);var r=t.isub(i);return r.cmpn(0)<0&&r.iadd(this.m),r},_.prototype.shl=function(t,i){return this._verify1(t),this.imod(t.ushln(i))},_.prototype.imul=function(t,i){return this._verify2(t,i),this.imod(t.imul(i))},_.prototype.mul=function(t,i){return this._verify2(t,i),this.imod(t.mul(i))},_.prototype.isqr=function(t){return this.imul(t,t.clone())},_.prototype.sqr=function(t){return this.mul(t,t)},_.prototype.sqrt=function(t){if(t.isZero())return t.clone();var i=this.m.andln(3);if(e(i%2==1),3===i){var r=this.m.add(new h(1)).iushrn(2);return this.pow(t,r)}for(var n=this.m.subn(1),o=0;!n.isZero()&&0===n.andln(1);)o++,n.iushrn(1);e(!n.isZero());var s=new h(1).toRed(this),u=s.redNeg(),a=this.m.subn(1).iushrn(1),l=this.m.bitLength();for(l=new h(2*l*l).toRed(this);0!==this.pow(l,a).cmp(u);)l.redIAdd(u);for(var m=this.pow(l,n),f=this.pow(t,n.addn(1).iushrn(1)),d=this.pow(t,n),p=o;0!==d.cmp(s);){for(var M=d,v=0;0!==M.cmp(s);v++)M=M.redSqr();e(v<p);var c=this.pow(m,new h(1).iushln(p-v-1));f=f.redMul(c),m=c.redSqr(),d=d.redMul(m),p=v}return f},_.prototype.invm=function(t){var i=t._invmp(this.m);return 0!==i.negative?(i.negative=0,this.imod(i).redNeg()):this.imod(i)},_.prototype.pow=function(t,i){if(i.isZero())return new h(1).toRed(this);if(0===i.cmpn(1))return t.clone();var r=new Array(16);r[0]=new h(1).toRed(this),r[1]=t;for(var e=2;e<r.length;e++)r[e]=this.mul(r[e-1],t);var n=r[0],o=0,s=0,u=i.bitLength()%26;for(0===u&&(u=26),e=i.length-1;e>=0;e--){for(var a=i.words[e],l=u-1;l>=0;l--){var m=a>>l&1;n!==r[0]&&(n=this.sqr(n)),0!==m||0!==o?(o<<=1,o|=m,(4===++s||0===e&&0===l)&&(n=this.mul(n,r[o]),s=0,o=0)):s=0}u=26}return n},_.prototype.convertTo=function(t){var i=t.umod(this.m);return i===t?i.clone():i},_.prototype.convertFrom=function(t){var i=t.clone();return i.red=null,i},h.mont=function(t){return new k(t)},n(k,_),k.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},k.prototype.convertFrom=function(t){var i=this.imod(t.mul(this.rinv));return i.red=null,i},k.prototype.imul=function(t,i){if(t.isZero()||i.isZero())return t.words[0]=0,t.length=1,t;var r=t.imul(i),e=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(e).iushrn(this.shift),h=n;return n.cmp(this.m)>=0?h=n.isub(this.m):n.cmpn(0)<0&&(h=n.iadd(this.m)),h._forceRed(this)},k.prototype.mul=function(t,i){if(t.isZero()||i.isZero())return new h(0)._forceRed(this);var r=t.mul(i),e=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),n=r.isub(e).iushrn(this.shift),o=n;return n.cmp(this.m)>=0?o=n.isub(this.m):n.cmpn(0)<0&&(o=n.iadd(this.m)),o._forceRed(this)},k.prototype.invm=function(t){return this.imod(t._invmp(this.m).mul(this.r2))._forceRed(this)}}(t,this)}).call(this,r("62e4")(t))},e1d3:function(t,i,r){(function(i){var e=r("3337"),n=r("37e6");t.exports=function(t){return new o(t)};var h={secp256k1:{name:"secp256k1",byteLength:32},secp224r1:{name:"p224",byteLength:28},prime256v1:{name:"p256",byteLength:32},prime192v1:{name:"p192",byteLength:24},ed25519:{name:"ed25519",byteLength:32},secp384r1:{name:"p384",byteLength:48},secp521r1:{name:"p521",byteLength:66}};function o(t){this.curveType=h[t],this.curveType||(this.curveType={name:t}),this.curve=new e.ec(this.curveType.name),this.keys=void 0}function s(t,r,e){Array.isArray(t)||(t=t.toArray());var n=new i(t);if(e&&n.length<e){var h=new i(e-n.length);h.fill(0),n=i.concat([h,n])}return r?n.toString(r):n}h.p224=h.secp224r1,h.p256=h.secp256r1=h.prime256v1,h.p192=h.secp192r1=h.prime192v1,h.p384=h.secp384r1,h.p521=h.secp521r1,o.prototype.generateKeys=function(t,i){return this.keys=this.curve.genKeyPair(),this.getPublicKey(t,i)},o.prototype.computeSecret=function(t,r,e){return r=r||"utf8",i.isBuffer(t)||(t=new i(t,r)),s(this.curve.keyFromPublic(t).getPublic().mul(this.keys.getPrivate()).getX(),e,this.curveType.byteLength)},o.prototype.getPublicKey=function(t,i){var r=this.keys.getPublic("compressed"===i,!0);return"hybrid"===i&&(r[r.length-1]%2?r[0]=7:r[0]=6),s(r,t)},o.prototype.getPrivateKey=function(t){return s(this.keys.getPrivate(),t)},o.prototype.setPublicKey=function(t,r){return r=r||"utf8",i.isBuffer(t)||(t=new i(t,r)),this.keys._importPublic(t),this},o.prototype.setPrivateKey=function(t,r){r=r||"utf8",i.isBuffer(t)||(t=new i(t,r));var e=new n(t);return e=e.toString(16),this.keys=this.curve.genKeyPair(),this.keys._importPrivate(e),this}}).call(this,r("b639").Buffer)}}]);
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