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bt=(a+(n=n+Math.imul(m,rt)|0)|0)+((8191&(e=(e=e+Math.imul(m,nt)|0)+Math.imul(f,rt)|0))<<13)|0;a=((h=h+Math.imul(f,nt)|0)+(e>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(Z,K),e=(e=Math.imul(Z,U))+Math.imul(q,K)|0,h=Math.imul(q,U),n=n+Math.imul(S,J)|0,e=(e=e+Math.imul(S,C)|0)+Math.imul(B,J)|0,h=h+Math.imul(B,C)|0,n=n+Math.imul(k,G)|0,e=(e=e+Math.imul(k,Q)|0)+Math.imul(A,G)|0,h=h+Math.imul(A,Q)|0,n=n+Math.imul(y,W)|0,e=(e=e+Math.imul(y,X)|0)+Math.imul(b,W)|0,h=h+Math.imul(b,X)|0,n=n+Math.imul(v,$)|0,e=(e=e+Math.imul(v,tt)|0)+Math.imul(g,$)|0,h=h+Math.imul(g,tt)|0,n=n+Math.imul(p,rt)|0,e=(e=e+Math.imul(p,nt)|0)+Math.imul(M,rt)|0,h=h+Math.imul(M,nt)|0;var _t=(a+(n=n+Math.imul(m,ht)|0)|0)+((8191&(e=(e=e+Math.imul(m,ot)|0)+Math.imul(f,ht)|0))<<13)|0;a=((h=h+Math.imul(f,ot)|0)+(e>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(L,K),e=(e=Math.imul(L,U))+Math.imul(N,K)|0,h=Math.imul(N,U),n=n+Math.imul(Z,J)|0,e=(e=e+Math.imul(Z,C)|0)+Math.imul(q,J)|0,h=h+Math.imul(q,C)|0,n=n+Math.imul(S,G)|0,e=(e=e+Math.imul(S,Q)|0)+Math.imul(B,G)|0,h=h+Math.imul(B,Q)|0,n=n+Math.imul(k,W)|0,e=(e=e+Math.imul(k,X)|0)+Math.imul(A,W)|0,h=h+Math.imul(A,X)|0,n=n+Math.imul(y,$)|0,e=(e=e+Math.imul(y,tt)|0)+Math.imul(b,$)|0,h=h+Math.imul(b,tt)|0,n=n+Math.imul(v,rt)|0,e=(e=e+Math.imul(v,nt)|0)+Math.imul(g,rt)|0,h=h+Math.imul(g,nt)|0,n=n+Math.imul(p,ht)|0,e=(e=e+Math.imul(p,ot)|0)+Math.imul(M,ht)|0,h=h+Math.imul(M,ot)|0;var kt=(a+(n=n+Math.imul(m,ut)|0)|0)+((8191&(e=(e=e+Math.imul(m,at)|0)+Math.imul(f,ut)|0))<<13)|0;a=((h=h+Math.imul(f,at)|0)+(e>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(z,K),e=(e=Math.imul(z,U))+Math.imul(T,K)|0,h=Math.imul(T,U),n=n+Math.imul(L,J)|0,e=(e=e+Math.imul(L,C)|0)+Math.imul(N,J)|0,h=h+Math.imul(N,C)|0,n=n+Math.imul(Z,G)|0,e=(e=e+Math.imul(Z,Q)|0)+Math.imul(q,G)|0,h=h+Math.imul(q,Q)|0,n=n+Math.imul(S,W)|0,e=(e=e+Math.imul(S,X)|0)+Math.imul(B,W)|0,h=h+Math.imul(B,X)|0,n=n+Math.imul(k,$)|0,e=(e=e+Math.imul(k,tt)|0)+Math.imul(A,$)|0,h=h+Math.imul(A,tt)|0,n=n+Math.imul(y,rt)|0,e=(e=e+Math.imul(y,nt)|0)+Math.imul(b,rt)|0,h=h+Math.imul(b,nt)|0,n=n+Math.imul(v,ht)|0,e=(e=e+Math.imul(v,ot)|0)+Math.imul(g,ht)|0,h=h+Math.imul(g,ot)|0,n=n+Math.imul(p,ut)|0,e=(e=e+Math.imul(p,at)|0)+Math.imul(M,ut)|0,h=h+Math.imul(M,at)|0;var At=(a+(n=n+Math.imul(m,mt)|0)|0)+((8191&(e=(e=e+Math.imul(m,ft)|0)+Math.imul(f,mt)|0))<<13)|0;a=((h=h+Math.imul(f,ft)|0)+(e>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(j,K),e=(e=Math.imul(j,U))+Math.imul(D,K)|0,h=Math.imul(D,U),n=n+Math.imul(z,J)|0,e=(e=e+Math.imul(z,C)|0)+Math.imul(T,J)|0,h=h+Math.imul(T,C)|0,n=n+Math.imul(L,G)|0,e=(e=e+Math.imul(L,Q)|0)+Math.imul(N,G)|0,h=h+Math.imul(N,Q)|0,n=n+Math.imul(Z,W)|0,e=(e=e+Math.imul(Z,X)|0)+Math.imul(q,W)|0,h=h+Math.imul(q,X)|0,n=n+Math.imul(S,$)|0,e=(e=e+Math.imul(S,tt)|0)+Math.imul(B,$)|0,h=h+Math.imul(B,tt)|0,n=n+Math.imul(k,rt)|0,e=(e=e+Math.imul(k,nt)|0)+Math.imul(A,rt)|0,h=h+Math.imul(A,nt)|0,n=n+Math.imul(y,ht)|0,e=(e=e+Math.imul(y,ot)|0)+Math.imul(b,ht)|0,h=h+Math.imul(b,ot)|0,n=n+Math.imul(v,ut)|0,e=(e=e+Math.imul(v,at)|0)+Math.imul(g,ut)|0,h=h+Math.imul(g,at)|0,n=n+Math.imul(p,mt)|0,e=(e=e+Math.imul(p,ft)|0)+Math.imul(M,mt)|0,h=h+Math.imul(M,ft)|0;var xt=(a+(n=n+Math.imul(m,pt)|0)|0)+((8191&(e=(e=e+Math.imul(m,Mt)|0)+Math.imul(f,pt)|0))<<13)|0;a=((h=h+Math.imul(f,Mt)|0)+(e>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(j,J),e=(e=Math.imul(j,C))+Math.imul(D,J)|0,h=Math.imul(D,C),n=n+Math.imul(z,G)|0,e=(e=e+Math.imul(z,Q)|0)+Math.imul(T,G)|0,h=h+Math.imul(T,Q)|0,n=n+Math.imul(L,W)|0,e=(e=e+Math.imul(L,X)|0)+Math.imul(N,W)|0,h=h+Math.imul(N,X)|0,n=n+Math.imul(Z,$)|0,e=(e=e+Math.imul(Z,tt)|0)+Math.imul(q,$)|0,h=h+Math.imul(q,tt)|0,n=n+Math.imul(S,rt)|0,e=(e=e+Math.imul(S,nt)|0)+Math.imul(B,rt)|0,h=h+Math.imul(B,nt)|0,n=n+Math.imul(k,ht)|0,e=(e=e+Math.imul(k,ot)|0)+Math.imul(A,ht)|0,h=h+Math.imul(A,ot)|0,n=n+Math.imul(y,ut)|0,e=(e=e+Math.imul(y,at)|0)+Math.imul(b,ut)|0,h=h+Math.imul(b,at)|0,n=n+Math.imul(v,mt)|0,e=(e=e+Math.imul(v,ft)|0)+Math.imul(g,mt)|0,h=h+Math.imul(g,ft)|0;var St=(a+(n=n+Math.imul(p,pt)|0)|0)+((8191&(e=(e=e+Math.imul(p,Mt)|0)+Math.imul(M,pt)|0))<<13)|0;a=((h=h+Math.imul(M,Mt)|0)+(e>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(j,G),e=(e=Math.imul(j,Q))+Math.imul(D,G)|0,h=Math.imul(D,Q),n=n+Math.imul(z,W)|0,e=(e=e+Math.imul(z,X)|0)+Math.imul(T,W)|0,h=h+Math.imul(T,X)|0,n=n+Math.imul(L,$)|0,e=(e=e+Math.imul(L,tt)|0)+Math.imul(N,$)|0,h=h+Math.imul(N,tt)|0,n=n+Math.imul(Z,rt)|0,e=(e=e+Math.imul(Z,nt)|0)+Math.imul(q,rt)|0,h=h+Math.imul(q,nt)|0,n=n+Math.imul(S,ht)|0,e=(e=e+Math.imul(S,ot)|0)+Math.imul(B,ht)|0,h=h+Math.imul(B,ot)|0,n=n+Math.imul(k,ut)|0,e=(e=e+Math.imul(k,at)|0)+Math.imul(A,ut)|0,h=h+Math.imul(A,at)|0,n=n+Math.imul(y,mt)|0,e=(e=e+Math.imul(y,ft)|0)+Math.imul(b,mt)|0,h=h+Math.imul(b,ft)|0;var Bt=(a+(n=n+Math.imul(v,pt)|0)|0)+((8191&(e=(e=e+Math.imul(v,Mt)|0)+Math.imul(g,pt)|0))<<13)|0;a=((h=h+Math.imul(g,Mt)|0)+(e>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,n=Math.imul(j,W),e=(e=Math.imul(j,X))+Math.imul(D,W)|0,h=Math.imul(D,X),n=n+Math.imul(z,$)|0,e=(e=e+Math.imul(z,tt)|0)+Math.imul(T,$)|0,h=h+Math.imul(T,tt)|0,n=n+Math.imul(L,rt)|0,e=(e=e+Math.imul(L,nt)|0)+Math.imul(N,rt)|0,h=h+Math.imul(N,nt)|0,n=n+Math.imul(Z,ht)|0,e=(e=e+Math.imul(Z,ot)|0)+Math.imul(q,ht)|0,h=h+Math.imul(q,ot)|0,n=n+Math.imul(S,ut)|0,e=(e=e+Math.imul(S,at)|0)+Math.imul(B,ut)|0,h=h+Math.imul(B,at)|0,n=n+Math.imul(k,mt)|0,e=(e=e+Math.imul(k,ft)|0)+Math.imul(A,mt)|0,h=h+Math.imul(A,ft)|0;var Rt=(a+(n=n+Math.imul(y,pt)|0)|0)+((8191&(e=(e=e+Math.imul(y,Mt)|0)+Math.imul(b,pt)|0))<<13)|0;a=((h=h+Math.imul(b,Mt)|0)+(e>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(j,$),e=(e=Math.imul(j,tt))+Math.imul(D,$)|0,h=Math.imul(D,tt),n=n+Math.imul(z,rt)|0,e=(e=e+Math.imul(z,nt)|0)+Math.imul(T,rt)|0,h=h+Math.imul(T,nt)|0,n=n+Math.imul(L,ht)|0,e=(e=e+Math.imul(L,ot)|0)+Math.imul(N,ht)|0,h=h+Math.imul(N,ot)|0,n=n+Math.imul(Z,ut)|0,e=(e=e+Math.imul(Z,at)|0)+Math.imul(q,ut)|0,h=h+Math.imul(q,at)|0,n=n+Math.imul(S,mt)|0,e=(e=e+Math.imul(S,ft)|0)+Math.imul(B,mt)|0,h=h+Math.imul(B,ft)|0;var Zt=(a+(n=n+Math.imul(k,pt)|0)|0)+((8191&(e=(e=e+Math.imul(k,Mt)|0)+Math.imul(A,pt)|0))<<13)|0;a=((h=h+Math.imul(A,Mt)|0)+(e>>>13)|0)+(Zt>>>26)|0,Zt&=67108863,n=Math.imul(j,rt),e=(e=Math.imul(j,nt))+Math.imul(D,rt)|0,h=Math.imul(D,nt),n=n+Math.imul(z,ht)|0,e=(e=e+Math.imul(z,ot)|0)+Math.imul(T,ht)|0,h=h+Math.imul(T,ot)|0,n=n+Math.imul(L,ut)|0,e=(e=e+Math.imul(L,at)|0)+Math.imul(N,ut)|0,h=h+Math.imul(N,at)|0,n=n+Math.imul(Z,mt)|0,e=(e=e+Math.imul(Z,ft)|0)+Math.imul(q,mt)|0,h=h+Math.imul(q,ft)|0;var qt=(a+(n=n+Math.imul(S,pt)|0)|0)+((8191&(e=(e=e+Math.imul(S,Mt)|0)+Math.imul(B,pt)|0))<<13)|0;a=((h=h+Math.imul(B,Mt)|0)+(e>>>13)|0)+(qt>>>26)|0,qt&=67108863,n=Math.imul(j,ht),e=(e=Math.imul(j,ot))+Math.imul(D,ht)|0,h=Math.imul(D,ot),n=n+Math.imul(z,ut)|0,e=(e=e+Math.imul(z,at)|0)+Math.imul(T,ut)|0,h=h+Math.imul(T,at)|0,n=n+Math.imul(L,mt)|0,e=(e=e+Math.imul(L,ft)|0)+Math.imul(N,mt)|0,h=h+Math.imul(N,ft)|0;var Et=(a+(n=n+Math.imul(Z,pt)|0)|0)+((8191&(e=(e=e+Math.imul(Z,Mt)|0)+Math.imul(q,pt)|0))<<13)|0;a=((h=h+Math.imul(q,Mt)|0)+(e>>>13)|0)+(Et>>>26)|0,Et&=67108863,n=Math.imul(j,ut),e=(e=Math.imul(j,at))+Math.imul(D,ut)|0,h=Math.imul(D,at),n=n+Math.imul(z,mt)|0,e=(e=e+Math.imul(z,ft)|0)+Math.imul(T,mt)|0,h=h+Math.imul(T,ft)|0;var Lt=(a+(n=n+Math.imul(L,pt)|0)|0)+((8191&(e=(e=e+Math.imul(L,Mt)|0)+Math.imul(N,pt)|0))<<13)|0;a=((h=h+Math.imul(N,Mt)|0)+(e>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,n=Math.imul(j,mt),e=(e=Math.imul(j,ft))+Math.imul(D,mt)|0,h=Math.imul(D,ft);var Nt=(a+(n=n+Math.imul(z,pt)|0)|0)+((8191&(e=(e=e+Math.imul(z,Mt)|0)+Math.imul(T,pt)|0))<<13)|0;a=((h=h+Math.imul(T,Mt)|0)+(e>>>13)|0)+(Nt>>>26)|0,Nt&=67108863;var It=(a+(n=Math.imul(j,pt))|0)+((8191&(e=(e=Math.imul(j,Mt))+Math.imul(D,pt)|0))<<13)|0;return a=((h=Math.imul(D,Mt))+(e>>>13)|0)+(It>>>26)|0,It&=67108863,u[0]=ct,u[1]=vt,u[2]=gt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=kt,u[8]=At,u[9]=xt,u[10]=St,u[11]=Bt,u[12]=Rt,u[13]=Zt,u[14]=qt,u[15]=Et,u[16]=Lt,u[17]=Nt,u[18]=It,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 n=0,e=0,h=0;h<r.length-1;h++){var o=e;e=0;for(var s=67108863&n,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),e+=(o=(o=o+(m/67108864|0)|0)+(f>>>26)|0)>>>26,o&=67108863}r.words[h]=s,n=o,o=e}return 0!==n?r.words[h]=n: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,n=0;n<t;n++)i[n]=this.revBin(n,r,t);return i},M.prototype.revBin=function(t,i,r){if(0===t||t===r-1)return t;for(var n=0,e=0;e<i;e++)n|=(1&t)<<i-e-1,t>>=1;return n},M.prototype.permute=function(t,i,r,n,e,h){for(var o=0;o<h;o++)n[o]=i[t[o]],e[o]=r[t[o]]},M.prototype.transform=function(t,i,r,n,e,h){this.permute(h,t,i,r,n,e);for(var o=1;o<e;o<<=1)for(var s=o<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),l=0;l<e;l+=s)for(var m=u,f=a,d=0;d<o;d++){var p=r[l+d],M=n[l+d],c=r[l+d+o],v=n[l+d+o],g=m*c-f*v;v=m*v+f*c,c=g,r[l+d]=p+c,n[l+d]=M+v,r[l+d+o]=p-c,n[l+d+o]=M-v,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),n=1&r,e=0;for(r=r/2|0;r;r>>>=1)e++;return 1<<e+1+n},M.prototype.conjugate=function(t,i,r){if(!(r<=1))for(var n=0;n<r/2;n++){var e=t[n];t[n]=t[r-n-1],t[r-n-1]=e,e=i[n],i[n]=-i[r-n-1],i[r-n-1]=-e}},M.prototype.normalize13b=function(t,i){for(var r=0,n=0;n<i/2;n++){var e=8192*Math.round(t[2*n+1]/i)+Math.round(t[2*n]/i)+r;t[n]=67108863&e,r=e<67108864?0:e/67108864|0}return t},M.prototype.convert13b=function(t,i,r,e){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<e;++o)r[o]=0;n(0===h),n(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 n=2*this.guessLen13b(t.length,i.length),e=this.makeRBT(n),h=this.stub(n),o=new Array(n),s=new Array(n),u=new Array(n),a=new Array(n),l=new Array(n),m=new Array(n),f=r.words;f.length=n,this.convert13b(t.words,t.length,o,n),this.convert13b(i.words,i.length,a,n),this.transform(o,h,s,u,n,e),this.transform(a,h,l,m,n,e);for(var d=0;d<n;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,n),this.transform(s,u,f,h,n,e),this.conjugate(f,h,n),this.normalize13b(f,n),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){n("number"==typeof t),n(t<67108864);for(var i=0,r=0;r<this.length;r++){var e=(0|this.words[r])*t,h=(67108863&e)+(67108863&i);i>>=26,i+=e/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 n=r/26|0,e=r%26;i[r]=(t.words[n]&1<<e)>>>e}return i}(t);if(0===i.length)return new h(1);for(var r=this,n=0;n<i.length&&0===i[n];n++,r=r.sqr());if(++n<i.length)for(var e=r.sqr();n<i.length;n++,e=e.sqr())0!==i[n]&&(r=r.mul(e));return r},h.prototype.iushln=function(t){n("number"==typeof t&&t>=0);var i,r=t%26,e=(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!==e){for(i=this.length-1;i>=0;i--)this.words[i+e]=this.words[i];for(i=0;i<e;i++)this.words[i]=0;this.length+=e}return this.strip()},h.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},h.prototype.iushrn=function(t,i,r){var e;n("number"==typeof t&&t>=0),e=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(e-=o,e=Math.max(0,e),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>=e);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 n(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){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26,e=1<<i;return!(this.length<=r)&&!!(this.words[r]&e)},h.prototype.imaskn=function(t){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26;if(n(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 e=67108863^67108863>>>i<<i;this.words[this.length-1]&=e}return this.strip()},h.prototype.maskn=function(t){return this.clone().imaskn(t)},h.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)},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(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 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 e,h,o=t.length+r;this._expand(o);var s=0;for(e=0;e<t.length;e++){h=(0|this.words[e+r])+s;var u=(0|t.words[e])*i;s=((h-=67108863&u)>>26)-(u/67108864|0),this.words[e+r]=67108863&h}for(;e<this.length-r;e++)s=(h=(0|this.words[e+r])+s)>>26,this.words[e+r]=67108863&h;if(0===s)return this.strip();for(n(-1===s),s=0,e=0;e<this.length;e++)s=(h=-(0|this.words[e])+s)>>26,this.words[e]=67108863&h;return this.negative=1,this.strip()},h.prototype._wordDiv=function(t,i){var r=(this.length,t.length),n=this.clone(),e=t,o=0|e.words[e.length-1];0!==(r=26-this._countBits(o))&&(e=e.ushln(r),n.iushln(r),o=0|e.words[e.length-1]);var s,u=n.length-e.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=n.clone()._ishlnsubmul(e,1,u);0===l.negative&&(n=l,s&&(s.words[u]=1));for(var m=u-1;m>=0;m--){var f=67108864*(0|n.words[e.length+m])+(0|n.words[e.length+m-1]);for(f=Math.min(f/o|0,67108863),n._ishlnsubmul(e,f,m);0!==n.negative;)f--,n.negative=0,n._ishlnsubmul(e,1,m),n.isZero()||(n.negative^=1);s&&(s.words[m]=f)}return s&&s.strip(),n.strip(),"div"!==i&&0!==r&&n.iushrn(r),{div:s||null,mod:n}},h.prototype.divmod=function(t,i,r){return n(!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&&(e=s.div.neg()),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:e,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(e=s.div.neg()),{div:e,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 e,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,n=t.ushrn(1),e=t.andln(1),h=r.cmp(n);return h<0||1===e&&0===h?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},h.prototype.modn=function(t){n(t<=67108863);for(var i=(1<<26)%t,r=0,e=this.length-1;e>=0;e--)r=(i*r+(0|this.words[e]))%t;return r},h.prototype.idivn=function(t){n(t<=67108863);for(var i=0,r=this.length-1;r>=0;r--){var e=(0|this.words[r])+67108864*i;this.words[r]=e/t|0,i=e%t}return this.strip()},h.prototype.divn=function(t){return this.clone().idivn(t)},h.prototype.egcd=function(t){n(0===t.negative),n(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var e=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;)(e.isOdd()||o.isOdd())&&(e.iadd(l),o.isub(m)),e.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),e.isub(s),o.isub(u)):(r.isub(i),s.isub(e),u.isub(o))}return{a:s,b:u,gcd:r.iushln(a)}},h.prototype._invmp=function(t){n(0===t.negative),n(!t.isZero());var i=this,r=t.clone();i=0!==i.negative?i.umod(t):i.clone();for(var e,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(e=0===i.cmpn(1)?o:s).cmpn(0)<0&&e.iadd(t),e},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 n=0;i.isEven()&&r.isEven();n++)i.iushrn(1),r.iushrn(1);for(;;){for(;i.isEven();)i.iushrn(1);for(;r.isEven();)r.iushrn(1);var e=i.cmp(r);if(e<0){var h=i;i=r,r=h}else if(0===e||0===r.cmpn(1))break;i.isub(r)}return r.iushln(n)},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){n("number"==typeof t);var i=t%26,r=(t-i)/26,e=1<<i;if(this.length<=r)return this._expand(r+1),this.words[r]|=e,this;for(var h=e,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),n(t<=67108863,"Number is too big");var e=0|this.words[0];i=e===t?0:e<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 n=0|this.words[r],e=0|t.words[r];if(n!==e){n<e?i=-1:n>e&&(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 n(!this.red,"Already a number in reduction context"),n(0===this.negative,"red works only with positives"),t.convertTo(this)._forceRed(t)},h.prototype.fromRed=function(){return n(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 n(!this.red,"Already a number in reduction context"),this._forceRed(t)},h.prototype.redAdd=function(t){return n(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},h.prototype.redIAdd=function(t){return n(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},h.prototype.redSub=function(t){return n(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},h.prototype.redISub=function(t){return n(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},h.prototype.redShl=function(t){return n(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},h.prototype.redMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},h.prototype.redIMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},h.prototype.redSqr=function(){return n(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},h.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},h.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},h.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},h.prototype.redNeg=function(){return n(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},h.prototype.redPow=function(t){return n(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var c={k256:null,p224:null,p192:null,p25519:null};function v(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(){v.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function w(){v.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function y(){v.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function b(){v.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 n(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)}v.prototype._tmp=function(){var t=new h(null);return t.words=new Array(Math.ceil(this.n/13)),t},v.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 n=i<this.n?-1:r.ucmp(this.p);return 0===n?(r.words[0]=0,r.length=1):n>0?r.isub(this.p):r.strip(),r},v.prototype.split=function(t,i){t.iushrn(this.n,0,i)},v.prototype.imulK=function(t){return t.imul(this.k)},e(g,v),g.prototype.split=function(t,i){for(var r=4194303,n=Math.min(t.length,9),e=0;e<n;e++)i.words[e]=t.words[e];if(i.length=n,t.length<=9)return t.words[0]=0,void(t.length=1);var h=t.words[9];for(i.words[i.length++]=h&r,e=10;e<t.length;e++){var o=0|t.words[e];t.words[e-10]=(o&r)<<4|h>>>22,h=o}h>>>=22,t.words[e-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 n=0|t.words[r];i+=977*n,t.words[r]=67108863&i,i=64*n+(i/67108864|0)}return 0===t.words[t.length-1]&&(t.length--,0===t.words[t.length-1]&&t.length--),t},e(w,v),e(y,v),e(b,v),b.prototype.imulK=function(t){for(var i=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+i,e=67108863&n;n>>>=26,t.words[r]=e,i=n}return 0!==i&&(t.words[t.length++]=i),t},h._prime=function(t){if(c[t])return c[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 c[t]=i,i},_.prototype._verify1=function(t){n(0===t.negative,"red works only with positives"),n(t.red,"red works only with red numbers")},_.prototype._verify2=function(t,i){n(0==(t.negative|i.negative),"red works only with positives"),n(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(n(i%2==1),3===i){var r=this.m.add(new h(1)).iushrn(2);return this.pow(t,r)}for(var e=this.m.subn(1),o=0;!e.isZero()&&0===e.andln(1);)o++,e.iushrn(1);n(!e.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,e),f=this.pow(t,e.addn(1).iushrn(1)),d=this.pow(t,e),p=o;0!==d.cmp(s);){for(var M=d,c=0;0!==M.cmp(s);c++)M=M.redSqr();n(c<p);var v=this.pow(m,new h(1).iushln(p-c-1));f=f.redMul(v),m=v.redSqr(),d=d.redMul(m),p=c}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 n=2;n<r.length;n++)r[n]=this.mul(r[n-1],t);var e=r[0],o=0,s=0,u=i.bitLength()%26;for(0===u&&(u=26),n=i.length-1;n>=0;n--){for(var a=i.words[n],l=u-1;l>=0;l--){var m=a>>l&1;e!==r[0]&&(e=this.sqr(e)),0!==m||0!==o?(o<<=1,o|=m,(4===++s||0===n&&0===l)&&(e=this.mul(e,r[o]),s=0,o=0)):s=0}u=26}return e},_.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)},e(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),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=r.isub(n).iushrn(this.shift),h=e;return e.cmp(this.m)>=0?h=e.isub(this.m):e.cmpn(0)<0&&(h=e.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),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),e=r.isub(n).iushrn(this.shift),o=e;return e.cmp(this.m)>=0?o=e.isub(this.m):e.cmpn(0)<0&&(o=e.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))},"0f2c":function(t,i,r){var n=r("2aee"),e=r("f460"),h=r("83d5"),o=r("0106"),s=r("a958"),u=r("98e6"),a=r("5291"),l=r("8707").Buffer;function m(t,i){var r=t.modulus.byteLength(),n=u("sha1").update(l.alloc(0)).digest(),o=n.length;if(0!==i[0])throw new Error("decryption error");var s=i.slice(1,o+1),a=i.slice(o+1),m=h(s,e(a,o)),f=h(a,e(m,r-o-1));if(function(t,i){t=l.from(t),i=l.from(i);var r=0,n=t.length;t.length!==i.length&&(r++,n=Math.min(t.length,i.length));var e=-1;for(;++e<n;)r+=t[e]^i[e];return r}(n,f.slice(0,o)))throw new Error("decryption error");for(var d=o;0===f[d];)d++;if(1!==f[d++])throw new Error("decryption error");return f.slice(d)}t.exports=function(t,i,r){var e;e=t.padding?t.padding:r?1:4;var h,u=n(t),f=u.modulus.byteLength();if(i.length>f||new o(i).cmp(u.modulus)>=0)throw new Error("decryption error");h=r?a(new o(i),u):s(i,u);var d=l.alloc(f-h.length);if(h=l.concat([d,h],f),4===e)return m(u,h);if(1===e)return function(t,i,r){for(var n=i.slice(0,2),e=2,h=0;0!==i[e++];)if(e>=i.length){h++;break}var o=i.slice(2,e-1);if(("0002"!==n.toString("hex")&&!r||"0001"!==n.toString("hex")&&r)&&h++,o.length<8&&h++,h)throw new Error("decryption error");return i.slice(e)}(0,h,r);if(3===e)return h;throw new Error("unknown padding")}},5291:function(t,i,r){var n=r("0106"),e=r("8707").Buffer;t.exports=function(t,i){return e.from(t.toRed(n.mont(i.modulus)).redPow(new n(i.publicExponent)).fromRed().toArray())}},6442:function(t,i,r){i.publicEncrypt=r("ad25"),i.privateDecrypt=r("0f2c"),i.privateEncrypt=function(t,r){return i.publicEncrypt(t,r,!0)},i.publicDecrypt=function(t,r){return i.privateDecrypt(t,r,!0)}},"83d5":function(t,i){t.exports=function(t,i){for(var r=t.length,n=-1;++n<r;)t[n]^=i[n];return t}},ad25:function(t,i,r){var n=r("2aee"),e=r("11dc"),h=r("98e6"),o=r("f460"),s=r("83d5"),u=r("0106"),a=r("5291"),l=r("a958"),m=r("8707").Buffer;function f(t,i){var r=t.modulus.byteLength(),n=i.length,a=h("sha1").update(m.alloc(0)).digest(),l=a.length,f=2*l;if(n>r-f-2)throw new Error("message too long");var d=m.alloc(r-n-f-2),p=r-l-1,M=e(l),c=s(m.concat([a,d,m.alloc(1,1),i],p),o(M,p)),v=s(M,o(c,l));return new u(m.concat([m.alloc(1),v,c],r))}function d(t){for(var i,r=m.allocUnsafe(t),n=0,h=e(2*t),o=0;n<t;)o===h.length&&(h=e(2*t),o=0),(i=h[o++])&&(r[n++]=i);return r}t.exports=function(t,i,r){var e;e=t.padding?t.padding:r?1:4;var h,o=n(t);if(4===e)h=f(o,i);else if(1===e)h=function(t,i,r){var n,e=i.length,h=t.modulus.byteLength();if(e>h-11)throw new Error("message too long");return n=r?m.alloc(h-e-3,255):d(h-e-3),new u(m.concat([m.from([0,r?1:2]),n,m.alloc(1),i],h))}(o,i,r);else{if(3!==e)throw new Error("unknown padding");if((h=new u(i)).cmp(o.modulus)>=0)throw new Error("data too long for modulus")}return r?l(h,o):a(h,o)}},f460:function(t,i,r){var n=r("98e6"),e=r("8707").Buffer;function h(t){var i=e.allocUnsafe(4);return i.writeUInt32BE(t,0),i}t.exports=function(t,i){for(var r,o=e.alloc(0),s=0;o.length<i;)r=h(s++),o=e.concat([o,n("sha1").update(t).update(r).digest()]);return o.slice(0,i)}}}]);
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