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bt=(a+(n=n+Math.imul(m,rt)|0)|0)+((8191&(h=(h=h+Math.imul(m,nt)|0)+Math.imul(f,rt)|0))<<13)|0;a=((e=e+Math.imul(f,nt)|0)+(h>>>13)|0)+(bt>>>26)|0,bt&=67108863,n=Math.imul(R,P),h=(h=Math.imul(R,F))+Math.imul(q,P)|0,e=Math.imul(q,F),n=n+Math.imul(S,H)|0,h=(h=h+Math.imul(S,J)|0)+Math.imul(Z,H)|0,e=e+Math.imul(Z,J)|0,n=n+Math.imul(k,G)|0,h=(h=h+Math.imul(k,Q)|0)+Math.imul(A,G)|0,e=e+Math.imul(A,Q)|0,n=n+Math.imul(y,W)|0,h=(h=h+Math.imul(y,X)|0)+Math.imul(b,W)|0,e=e+Math.imul(b,X)|0,n=n+Math.imul(g,$)|0,h=(h=h+Math.imul(g,tt)|0)+Math.imul(c,$)|0,e=e+Math.imul(c,tt)|0,n=n+Math.imul(p,rt)|0,h=(h=h+Math.imul(p,nt)|0)+Math.imul(M,rt)|0,e=e+Math.imul(M,nt)|0;var _t=(a+(n=n+Math.imul(m,et)|0)|0)+((8191&(h=(h=h+Math.imul(m,ot)|0)+Math.imul(f,et)|0))<<13)|0;a=((e=e+Math.imul(f,ot)|0)+(h>>>13)|0)+(_t>>>26)|0,_t&=67108863,n=Math.imul(L,P),h=(h=Math.imul(L,F))+Math.imul(I,P)|0,e=Math.imul(I,F),n=n+Math.imul(R,H)|0,h=(h=h+Math.imul(R,J)|0)+Math.imul(q,H)|0,e=e+Math.imul(q,J)|0,n=n+Math.imul(S,G)|0,h=(h=h+Math.imul(S,Q)|0)+Math.imul(Z,G)|0,e=e+Math.imul(Z,Q)|0,n=n+Math.imul(k,W)|0,h=(h=h+Math.imul(k,X)|0)+Math.imul(A,W)|0,e=e+Math.imul(A,X)|0,n=n+Math.imul(y,$)|0,h=(h=h+Math.imul(y,tt)|0)+Math.imul(b,$)|0,e=e+Math.imul(b,tt)|0,n=n+Math.imul(g,rt)|0,h=(h=h+Math.imul(g,nt)|0)+Math.imul(c,rt)|0,e=e+Math.imul(c,nt)|0,n=n+Math.imul(p,et)|0,h=(h=h+Math.imul(p,ot)|0)+Math.imul(M,et)|0,e=e+Math.imul(M,ot)|0;var kt=(a+(n=n+Math.imul(m,ut)|0)|0)+((8191&(h=(h=h+Math.imul(m,at)|0)+Math.imul(f,ut)|0))<<13)|0;a=((e=e+Math.imul(f,at)|0)+(h>>>13)|0)+(kt>>>26)|0,kt&=67108863,n=Math.imul(T,P),h=(h=Math.imul(T,F))+Math.imul(E,P)|0,e=Math.imul(E,F),n=n+Math.imul(L,H)|0,h=(h=h+Math.imul(L,J)|0)+Math.imul(I,H)|0,e=e+Math.imul(I,J)|0,n=n+Math.imul(R,G)|0,h=(h=h+Math.imul(R,Q)|0)+Math.imul(q,G)|0,e=e+Math.imul(q,Q)|0,n=n+Math.imul(S,W)|0,h=(h=h+Math.imul(S,X)|0)+Math.imul(Z,W)|0,e=e+Math.imul(Z,X)|0,n=n+Math.imul(k,$)|0,h=(h=h+Math.imul(k,tt)|0)+Math.imul(A,$)|0,e=e+Math.imul(A,tt)|0,n=n+Math.imul(y,rt)|0,h=(h=h+Math.imul(y,nt)|0)+Math.imul(b,rt)|0,e=e+Math.imul(b,nt)|0,n=n+Math.imul(g,et)|0,h=(h=h+Math.imul(g,ot)|0)+Math.imul(c,et)|0,e=e+Math.imul(c,ot)|0,n=n+Math.imul(p,ut)|0,h=(h=h+Math.imul(p,at)|0)+Math.imul(M,ut)|0,e=e+Math.imul(M,at)|0;var At=(a+(n=n+Math.imul(m,mt)|0)|0)+((8191&(h=(h=h+Math.imul(m,ft)|0)+Math.imul(f,mt)|0))<<13)|0;a=((e=e+Math.imul(f,ft)|0)+(h>>>13)|0)+(At>>>26)|0,At&=67108863,n=Math.imul(j,P),h=(h=Math.imul(j,F))+Math.imul(C,P)|0,e=Math.imul(C,F),n=n+Math.imul(T,H)|0,h=(h=h+Math.imul(T,J)|0)+Math.imul(E,H)|0,e=e+Math.imul(E,J)|0,n=n+Math.imul(L,G)|0,h=(h=h+Math.imul(L,Q)|0)+Math.imul(I,G)|0,e=e+Math.imul(I,Q)|0,n=n+Math.imul(R,W)|0,h=(h=h+Math.imul(R,X)|0)+Math.imul(q,W)|0,e=e+Math.imul(q,X)|0,n=n+Math.imul(S,$)|0,h=(h=h+Math.imul(S,tt)|0)+Math.imul(Z,$)|0,e=e+Math.imul(Z,tt)|0,n=n+Math.imul(k,rt)|0,h=(h=h+Math.imul(k,nt)|0)+Math.imul(A,rt)|0,e=e+Math.imul(A,nt)|0,n=n+Math.imul(y,et)|0,h=(h=h+Math.imul(y,ot)|0)+Math.imul(b,et)|0,e=e+Math.imul(b,ot)|0,n=n+Math.imul(g,ut)|0,h=(h=h+Math.imul(g,at)|0)+Math.imul(c,ut)|0,e=e+Math.imul(c,at)|0,n=n+Math.imul(p,mt)|0,h=(h=h+Math.imul(p,ft)|0)+Math.imul(M,mt)|0,e=e+Math.imul(M,ft)|0;var xt=(a+(n=n+Math.imul(m,pt)|0)|0)+((8191&(h=(h=h+Math.imul(m,Mt)|0)+Math.imul(f,pt)|0))<<13)|0;a=((e=e+Math.imul(f,Mt)|0)+(h>>>13)|0)+(xt>>>26)|0,xt&=67108863,n=Math.imul(j,H),h=(h=Math.imul(j,J))+Math.imul(C,H)|0,e=Math.imul(C,J),n=n+Math.imul(T,G)|0,h=(h=h+Math.imul(T,Q)|0)+Math.imul(E,G)|0,e=e+Math.imul(E,Q)|0,n=n+Math.imul(L,W)|0,h=(h=h+Math.imul(L,X)|0)+Math.imul(I,W)|0,e=e+Math.imul(I,X)|0,n=n+Math.imul(R,$)|0,h=(h=h+Math.imul(R,tt)|0)+Math.imul(q,$)|0,e=e+Math.imul(q,tt)|0,n=n+Math.imul(S,rt)|0,h=(h=h+Math.imul(S,nt)|0)+Math.imul(Z,rt)|0,e=e+Math.imul(Z,nt)|0,n=n+Math.imul(k,et)|0,h=(h=h+Math.imul(k,ot)|0)+Math.imul(A,et)|0,e=e+Math.imul(A,ot)|0,n=n+Math.imul(y,ut)|0,h=(h=h+Math.imul(y,at)|0)+Math.imul(b,ut)|0,e=e+Math.imul(b,at)|0,n=n+Math.imul(g,mt)|0,h=(h=h+Math.imul(g,ft)|0)+Math.imul(c,mt)|0,e=e+Math.imul(c,ft)|0;var St=(a+(n=n+Math.imul(p,pt)|0)|0)+((8191&(h=(h=h+Math.imul(p,Mt)|0)+Math.imul(M,pt)|0))<<13)|0;a=((e=e+Math.imul(M,Mt)|0)+(h>>>13)|0)+(St>>>26)|0,St&=67108863,n=Math.imul(j,G),h=(h=Math.imul(j,Q))+Math.imul(C,G)|0,e=Math.imul(C,Q),n=n+Math.imul(T,W)|0,h=(h=h+Math.imul(T,X)|0)+Math.imul(E,W)|0,e=e+Math.imul(E,X)|0,n=n+Math.imul(L,$)|0,h=(h=h+Math.imul(L,tt)|0)+Math.imul(I,$)|0,e=e+Math.imul(I,tt)|0,n=n+Math.imul(R,rt)|0,h=(h=h+Math.imul(R,nt)|0)+Math.imul(q,rt)|0,e=e+Math.imul(q,nt)|0,n=n+Math.imul(S,et)|0,h=(h=h+Math.imul(S,ot)|0)+Math.imul(Z,et)|0,e=e+Math.imul(Z,ot)|0,n=n+Math.imul(k,ut)|0,h=(h=h+Math.imul(k,at)|0)+Math.imul(A,ut)|0,e=e+Math.imul(A,at)|0,n=n+Math.imul(y,mt)|0,h=(h=h+Math.imul(y,ft)|0)+Math.imul(b,mt)|0,e=e+Math.imul(b,ft)|0;var Zt=(a+(n=n+Math.imul(g,pt)|0)|0)+((8191&(h=(h=h+Math.imul(g,Mt)|0)+Math.imul(c,pt)|0))<<13)|0;a=((e=e+Math.imul(c,Mt)|0)+(h>>>13)|0)+(Zt>>>26)|0,Zt&=67108863,n=Math.imul(j,W),h=(h=Math.imul(j,X))+Math.imul(C,W)|0,e=Math.imul(C,X),n=n+Math.imul(T,$)|0,h=(h=h+Math.imul(T,tt)|0)+Math.imul(E,$)|0,e=e+Math.imul(E,tt)|0,n=n+Math.imul(L,rt)|0,h=(h=h+Math.imul(L,nt)|0)+Math.imul(I,rt)|0,e=e+Math.imul(I,nt)|0,n=n+Math.imul(R,et)|0,h=(h=h+Math.imul(R,ot)|0)+Math.imul(q,et)|0,e=e+Math.imul(q,ot)|0,n=n+Math.imul(S,ut)|0,h=(h=h+Math.imul(S,at)|0)+Math.imul(Z,ut)|0,e=e+Math.imul(Z,at)|0,n=n+Math.imul(k,mt)|0,h=(h=h+Math.imul(k,ft)|0)+Math.imul(A,mt)|0,e=e+Math.imul(A,ft)|0;var Bt=(a+(n=n+Math.imul(y,pt)|0)|0)+((8191&(h=(h=h+Math.imul(y,Mt)|0)+Math.imul(b,pt)|0))<<13)|0;a=((e=e+Math.imul(b,Mt)|0)+(h>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,n=Math.imul(j,$),h=(h=Math.imul(j,tt))+Math.imul(C,$)|0,e=Math.imul(C,tt),n=n+Math.imul(T,rt)|0,h=(h=h+Math.imul(T,nt)|0)+Math.imul(E,rt)|0,e=e+Math.imul(E,nt)|0,n=n+Math.imul(L,et)|0,h=(h=h+Math.imul(L,ot)|0)+Math.imul(I,et)|0,e=e+Math.imul(I,ot)|0,n=n+Math.imul(R,ut)|0,h=(h=h+Math.imul(R,at)|0)+Math.imul(q,ut)|0,e=e+Math.imul(q,at)|0,n=n+Math.imul(S,mt)|0,h=(h=h+Math.imul(S,ft)|0)+Math.imul(Z,mt)|0,e=e+Math.imul(Z,ft)|0;var Rt=(a+(n=n+Math.imul(k,pt)|0)|0)+((8191&(h=(h=h+Math.imul(k,Mt)|0)+Math.imul(A,pt)|0))<<13)|0;a=((e=e+Math.imul(A,Mt)|0)+(h>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,n=Math.imul(j,rt),h=(h=Math.imul(j,nt))+Math.imul(C,rt)|0,e=Math.imul(C,nt),n=n+Math.imul(T,et)|0,h=(h=h+Math.imul(T,ot)|0)+Math.imul(E,et)|0,e=e+Math.imul(E,ot)|0,n=n+Math.imul(L,ut)|0,h=(h=h+Math.imul(L,at)|0)+Math.imul(I,ut)|0,e=e+Math.imul(I,at)|0,n=n+Math.imul(R,mt)|0,h=(h=h+Math.imul(R,ft)|0)+Math.imul(q,mt)|0,e=e+Math.imul(q,ft)|0;var qt=(a+(n=n+Math.imul(S,pt)|0)|0)+((8191&(h=(h=h+Math.imul(S,Mt)|0)+Math.imul(Z,pt)|0))<<13)|0;a=((e=e+Math.imul(Z,Mt)|0)+(h>>>13)|0)+(qt>>>26)|0,qt&=67108863,n=Math.imul(j,et),h=(h=Math.imul(j,ot))+Math.imul(C,et)|0,e=Math.imul(C,ot),n=n+Math.imul(T,ut)|0,h=(h=h+Math.imul(T,at)|0)+Math.imul(E,ut)|0,e=e+Math.imul(E,at)|0,n=n+Math.imul(L,mt)|0,h=(h=h+Math.imul(L,ft)|0)+Math.imul(I,mt)|0,e=e+Math.imul(I,ft)|0;var Nt=(a+(n=n+Math.imul(R,pt)|0)|0)+((8191&(h=(h=h+Math.imul(R,Mt)|0)+Math.imul(q,pt)|0))<<13)|0;a=((e=e+Math.imul(q,Mt)|0)+(h>>>13)|0)+(Nt>>>26)|0,Nt&=67108863,n=Math.imul(j,ut),h=(h=Math.imul(j,at))+Math.imul(C,ut)|0,e=Math.imul(C,at),n=n+Math.imul(T,mt)|0,h=(h=h+Math.imul(T,ft)|0)+Math.imul(E,mt)|0,e=e+Math.imul(E,ft)|0;var Lt=(a+(n=n+Math.imul(L,pt)|0)|0)+((8191&(h=(h=h+Math.imul(L,Mt)|0)+Math.imul(I,pt)|0))<<13)|0;a=((e=e+Math.imul(I,Mt)|0)+(h>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,n=Math.imul(j,mt),h=(h=Math.imul(j,ft))+Math.imul(C,mt)|0,e=Math.imul(C,ft);var It=(a+(n=n+Math.imul(T,pt)|0)|0)+((8191&(h=(h=h+Math.imul(T,Mt)|0)+Math.imul(E,pt)|0))<<13)|0;a=((e=e+Math.imul(E,Mt)|0)+(h>>>13)|0)+(It>>>26)|0,It&=67108863;var zt=(a+(n=Math.imul(j,pt))|0)+((8191&(h=(h=Math.imul(j,Mt))+Math.imul(C,pt)|0))<<13)|0;return a=((e=Math.imul(C,Mt))+(h>>>13)|0)+(zt>>>26)|0,zt&=67108863,u[0]=vt,u[1]=gt,u[2]=ct,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]=Zt,u[12]=Bt,u[13]=Rt,u[14]=qt,u[15]=Nt,u[16]=Lt,u[17]=It,u[18]=zt,0!==a&&(u[19]=a,r.length++),r};function M(t,i,r){return(new v).mulp(t,i,r)}function v(t,i){this.x=t,this.y=i}Math.imul||(p=d),e.prototype.mulTo=function(t,i){var r,n=this.length+t.length;return r=10===this.length&&10===t.length?p(this,t,i):n<63?d(this,t,i):n<1024?function(t,i,r){r.negative=i.negative^t.negative,r.length=t.length+i.length;for(var n=0,h=0,e=0;e<r.length-1;e++){var o=h;h=0;for(var s=67108863&n,u=Math.min(e,i.length-1),a=Math.max(0,e-t.length+1);a<=u;a++){var l=e-a,m=(0|t.words[l])*(0|i.words[a]),f=67108863&m;s=67108863&(f=f+s|0),h+=(o=(o=o+(m/67108864|0)|0)+(f>>>26)|0)>>>26,o&=67108863}r.words[e]=s,n=o,o=h}return 0!==n?r.words[e]=n:r.length--,r.strip()}(this,t,i):M(this,t,i),r},v.prototype.makeRBT=function(t){for(var i=new Array(t),r=e.prototype._countBits(t)-1,n=0;n<t;n++)i[n]=this.revBin(n,r,t);return i},v.prototype.revBin=function(t,i,r){if(0===t||t===r-1)return t;for(var n=0,h=0;h<i;h++)n|=(1&t)<<i-h-1,t>>=1;return n},v.prototype.permute=function(t,i,r,n,h,e){for(var o=0;o<e;o++)n[o]=i[t[o]],h[o]=r[t[o]]},v.prototype.transform=function(t,i,r,n,h,e){this.permute(e,t,i,r,n,h);for(var o=1;o<h;o<<=1)for(var s=o<<1,u=Math.cos(2*Math.PI/s),a=Math.sin(2*Math.PI/s),l=0;l<h;l+=s)for(var m=u,f=a,d=0;d<o;d++){var p=r[l+d],M=n[l+d],v=r[l+d+o],g=n[l+d+o],c=m*v-f*g;g=m*g+f*v,v=c,r[l+d]=p+v,n[l+d]=M+g,r[l+d+o]=p-v,n[l+d+o]=M-g,d!==s&&(c=u*m-a*f,f=u*f+a*m,m=c)}},v.prototype.guessLen13b=function(t,i){var r=1|Math.max(i,t),n=1&r,h=0;for(r=r/2|0;r;r>>>=1)h++;return 1<<h+1+n},v.prototype.conjugate=function(t,i,r){if(!(r<=1))for(var n=0;n<r/2;n++){var h=t[n];t[n]=t[r-n-1],t[r-n-1]=h,h=i[n],i[n]=-i[r-n-1],i[r-n-1]=-h}},v.prototype.normalize13b=function(t,i){for(var r=0,n=0;n<i/2;n++){var h=8192*Math.round(t[2*n+1]/i)+Math.round(t[2*n]/i)+r;t[n]=67108863&h,r=h<67108864?0:h/67108864|0}return t},v.prototype.convert13b=function(t,i,r,h){for(var e=0,o=0;o<i;o++)e+=0|t[o],r[2*o]=8191&e,e>>>=13,r[2*o+1]=8191&e,e>>>=13;for(o=2*i;o<h;++o)r[o]=0;n(0===e),n(!(-8192&e))},v.prototype.stub=function(t){for(var i=new Array(t),r=0;r<t;r++)i[r]=0;return i},v.prototype.mulp=function(t,i,r){var n=2*this.guessLen13b(t.length,i.length),h=this.makeRBT(n),e=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,e,s,u,n,h),this.transform(a,e,l,m,n,h);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,e,n,h),this.conjugate(f,e,n),this.normalize13b(f,n),r.negative=t.negative^i.negative,r.length=t.length+i.length,r.strip()},e.prototype.mul=function(t){var i=new e(null);return i.words=new Array(this.length+t.length),this.mulTo(t,i)},e.prototype.mulf=function(t){var i=new e(null);return i.words=new Array(this.length+t.length),M(this,t,i)},e.prototype.imul=function(t){return this.clone().mulTo(t,this)},e.prototype.imuln=function(t){n("number"==typeof t),n(t<67108864);for(var i=0,r=0;r<this.length;r++){var h=(0|this.words[r])*t,e=(67108863&h)+(67108863&i);i>>=26,i+=h/67108864|0,i+=e>>>26,this.words[r]=67108863&e}return 0!==i&&(this.words[r]=i,this.length++),this},e.prototype.muln=function(t){return this.clone().imuln(t)},e.prototype.sqr=function(){return this.mul(this)},e.prototype.isqr=function(){return this.imul(this.clone())},e.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,h=r%26;i[r]=(t.words[n]&1<<h)>>>h}return i}(t);if(0===i.length)return new e(1);for(var r=this,n=0;n<i.length&&0===i[n];n++,r=r.sqr());if(++n<i.length)for(var h=r.sqr();n<i.length;n++,h=h.sqr())0!==i[n]&&(r=r.mul(h));return r},e.prototype.iushln=function(t){n("number"==typeof t&&t>=0);var i,r=t%26,h=(t-r)/26,e=67108863>>>26-r<<26-r;if(0!==r){var o=0;for(i=0;i<this.length;i++){var s=this.words[i]&e,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!==h){for(i=this.length-1;i>=0;i--)this.words[i+h]=this.words[i];for(i=0;i<h;i++)this.words[i]=0;this.length+=h}return this.strip()},e.prototype.ishln=function(t){return n(0===this.negative),this.iushln(t)},e.prototype.iushrn=function(t,i,r){var h;n("number"==typeof t&&t>=0),h=i?(i-i%26)/26:0;var e=t%26,o=Math.min((t-e)/26,this.length),s=67108863^67108863>>>e<<e,u=r;if(h-=o,h=Math.max(0,h),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>=h);a--){var m=0|this.words[a];this.words[a]=l<<26-e|m>>>e,l=m&s}return u&&0!==l&&(u.words[u.length++]=l),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},e.prototype.ishrn=function(t,i,r){return n(0===this.negative),this.iushrn(t,i,r)},e.prototype.shln=function(t){return this.clone().ishln(t)},e.prototype.ushln=function(t){return this.clone().iushln(t)},e.prototype.shrn=function(t){return this.clone().ishrn(t)},e.prototype.ushrn=function(t){return this.clone().iushrn(t)},e.prototype.testn=function(t){n("number"==typeof t&&t>=0);var i=t%26,r=(t-i)/26,h=1<<i;return!(this.length<=r)&&!!(this.words[r]&h)},e.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 h=67108863^67108863>>>i<<i;this.words[this.length-1]&=h}return this.strip()},e.prototype.maskn=function(t){return this.clone().imaskn(t)},e.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)},e.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},e.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()},e.prototype.addn=function(t){return this.clone().iaddn(t)},e.prototype.subn=function(t){return this.clone().isubn(t)},e.prototype.iabs=function(){return this.negative=0,this},e.prototype.abs=function(){return this.clone().iabs()},e.prototype._ishlnsubmul=function(t,i,r){var h,e,o=t.length+r;this._expand(o);var s=0;for(h=0;h<t.length;h++){e=(0|this.words[h+r])+s;var u=(0|t.words[h])*i;s=((e-=67108863&u)>>26)-(u/67108864|0),this.words[h+r]=67108863&e}for(;h<this.length-r;h++)s=(e=(0|this.words[h+r])+s)>>26,this.words[h+r]=67108863&e;if(0===s)return this.strip();for(n(-1===s),s=0,h=0;h<this.length;h++)s=(e=-(0|this.words[h])+s)>>26,this.words[h]=67108863&e;return this.negative=1,this.strip()},e.prototype._wordDiv=function(t,i){var r=(this.length,t.length),n=this.clone(),h=t,o=0|h.words[h.length-1];0!==(r=26-this._countBits(o))&&(h=h.ushln(r),n.iushln(r),o=0|h.words[h.length-1]);var s,u=n.length-h.length;if("mod"!==i){(s=new e(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(h,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[h.length+m])+(0|n.words[h.length+m-1]);for(f=Math.min(f/o|0,67108863),n._ishlnsubmul(h,f,m);0!==n.negative;)f--,n.negative=0,n._ishlnsubmul(h,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}},e.prototype.divmod=function(t,i,r){return n(!t.isZero()),this.isZero()?{div:new e(0),mod:new e(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,i),"mod"!==i&&(h=s.div.neg()),"div"!==i&&(o=s.mod.neg(),r&&0!==o.negative&&o.iadd(t)),{div:h,mod:o}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(h=s.div.neg()),{div:h,mod:s.mod}):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 e(0),mod:this}:1===t.length?"div"===i?{div:this.divn(t.words[0]),mod:null}:"mod"===i?{div:null,mod:new e(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new e(this.modn(t.words[0]))}:this._wordDiv(t,i);var h,o,s},e.prototype.div=function(t){return this.divmod(t,"div",!1).div},e.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},e.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},e.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),h=t.andln(1),e=r.cmp(n);return e<0||1===h&&0===e?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},e.prototype.modn=function(t){n(t<=67108863);for(var i=(1<<26)%t,r=0,h=this.length-1;h>=0;h--)r=(i*r+(0|this.words[h]))%t;return r},e.prototype.idivn=function(t){n(t<=67108863);for(var i=0,r=this.length-1;r>=0;r--){var h=(0|this.words[r])+67108864*i;this.words[r]=h/t|0,i=h%t}return this.strip()},e.prototype.divn=function(t){return this.clone().idivn(t)},e.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 h=new e(1),o=new e(0),s=new e(0),u=new e(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;!(i.words[0]&d)&&f<26;++f,d<<=1);if(f>0)for(i.iushrn(f);f-- >0;)(h.isOdd()||o.isOdd())&&(h.iadd(l),o.isub(m)),h.iushrn(1),o.iushrn(1);for(var p=0,M=1;!(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),h.isub(s),o.isub(u)):(r.isub(i),s.isub(h),u.isub(o))}return{a:s,b:u,gcd:r.iushln(a)}},e.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 h,o=new e(1),s=new e(0),u=r.clone();i.cmpn(1)>0&&r.cmpn(1)>0;){for(var a=0,l=1;!(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;!(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(h=0===i.cmpn(1)?o:s).cmpn(0)<0&&h.iadd(t),h},e.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 h=i.cmp(r);if(h<0){var e=i;i=r,r=e}else if(0===h||0===r.cmpn(1))break;i.isub(r)}return r.iushln(n)},e.prototype.invm=function(t){return this.egcd(t).a.umod(t)},e.prototype.isEven=function(){return!(1&this.words[0])},e.prototype.isOdd=function(){return!(1&~this.words[0])},e.prototype.andln=function(t){return this.words[0]&t},e.prototype.bincn=function(t){n("number"==typeof t);var i=t%26,r=(t-i)/26,h=1<<i;if(this.length<=r)return this._expand(r+1),this.words[r]|=h,this;for(var e=h,o=r;0!==e&&o<this.length;o++){var s=0|this.words[o];e=(s+=e)>>>26,s&=67108863,this.words[o]=s}return 0!==e&&(this.words[o]=e,this.length++),this},e.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},e.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 h=0|this.words[0];i=h===t?0:h<t?-1:1}return 0!==this.negative?0|-i:i},e.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},e.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],h=0|t.words[r];if(n!==h){n<h?i=-1:n>h&&(i=1);break}}return i},e.prototype.gtn=function(t){return 1===this.cmpn(t)},e.prototype.gt=function(t){return 1===this.cmp(t)},e.prototype.gten=function(t){return this.cmpn(t)>=0},e.prototype.gte=function(t){return this.cmp(t)>=0},e.prototype.ltn=function(t){return-1===this.cmpn(t)},e.prototype.lt=function(t){return-1===this.cmp(t)},e.prototype.lten=function(t){return this.cmpn(t)<=0},e.prototype.lte=function(t){return this.cmp(t)<=0},e.prototype.eqn=function(t){return 0===this.cmpn(t)},e.prototype.eq=function(t){return 0===this.cmp(t)},e.red=function(t){return new k(t)},e.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)},e.prototype.fromRed=function(){return n(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},e.prototype._forceRed=function(t){return this.red=t,this},e.prototype.forceRed=function(t){return n(!this.red,"Already a number in reduction context"),this._forceRed(t)},e.prototype.redAdd=function(t){return n(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},e.prototype.redIAdd=function(t){return n(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},e.prototype.redSub=function(t){return n(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},e.prototype.redISub=function(t){return n(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},e.prototype.redShl=function(t){return n(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},e.prototype.redMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},e.prototype.redIMul=function(t){return n(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},e.prototype.redSqr=function(){return n(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},e.prototype.redISqr=function(){return n(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},e.prototype.redSqrt=function(){return n(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},e.prototype.redInvm=function(){return n(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},e.prototype.redNeg=function(){return n(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},e.prototype.redPow=function(t){return n(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var g={k256:null,p224:null,p192:null,p25519:null};function c(t,i){this.name=t,this.p=new e(i,16),this.n=this.p.bitLength(),this.k=new e(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function w(){c.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function y(){c.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function b(){c.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function _(){c.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function k(t){if("string"==typeof t){var i=e._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 A(t){k.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new e(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 e(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 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):void 0!==r.strip?r.strip():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)},h(w,c),w.prototype.split=function(t,i){for(var r=4194303,n=Math.min(t.length,9),h=0;h<n;h++)i.words[h]=t.words[h];if(i.length=n,t.length<=9)return t.words[0]=0,void(t.length=1);var e=t.words[9];for(i.words[i.length++]=e&r,h=10;h<t.length;h++){var o=0|t.words[h];t.words[h-10]=(o&r)<<4|e>>>22,e=o}e>>>=22,t.words[h-10]=e,0===e&&t.length>10?t.length-=10:t.length-=9},w.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},h(y,c),h(b,c),h(_,c),_.prototype.imulK=function(t){for(var i=0,r=0;r<t.length;r++){var n=19*(0|t.words[r])+i,h=67108863&n;n>>>=26,t.words[r]=h,i=n}return 0!==i&&(t.words[t.length++]=i),t},e._prime=function(t){if(g[t])return g[t];var i;if("k256"===t)i=new w;else if("p224"===t)i=new y;else if("p192"===t)i=new b;else{if("p25519"!==t)throw new Error("Unknown prime "+t);i=new _}return g[t]=i,i},k.prototype._verify1=function(t){n(0===t.negative,"red works only with positives"),n(t.red,"red works only with red numbers")},k.prototype._verify2=function(t,i){n(!(t.negative|i.negative),"red works only with positives"),n(t.red&&t.red===i.red,"red works only with red numbers")},k.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):t.umod(this.m)._forceRed(this)},k.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},k.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)},k.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},k.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)},k.prototype.isub=function(t,i){this._verify2(t,i);var r=t.isub(i);return r.cmpn(0)<0&&r.iadd(this.m),r},k.prototype.shl=function(t,i){return this._verify1(t),this.imod(t.ushln(i))},k.prototype.imul=function(t,i){return this._verify2(t,i),this.imod(t.imul(i))},k.prototype.mul=function(t,i){return this._verify2(t,i),this.imod(t.mul(i))},k.prototype.isqr=function(t){return this.imul(t,t.clone())},k.prototype.sqr=function(t){return this.mul(t,t)},k.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 e(1)).iushrn(2);return this.pow(t,r)}for(var h=this.m.subn(1),o=0;!h.isZero()&&0===h.andln(1);)o++,h.iushrn(1);n(!h.isZero());var s=new e(1).toRed(this),u=s.redNeg(),a=this.m.subn(1).iushrn(1),l=this.m.bitLength();for(l=new e(2*l*l).toRed(this);0!==this.pow(l,a).cmp(u);)l.redIAdd(u);for(var m=this.pow(l,h),f=this.pow(t,h.addn(1).iushrn(1)),d=this.pow(t,h),p=o;0!==d.cmp(s);){for(var M=d,v=0;0!==M.cmp(s);v++)M=M.redSqr();n(v<p);var g=this.pow(m,new e(1).iushln(p-v-1));f=f.redMul(g),m=g.redSqr(),d=d.redMul(m),p=v}return f},k.prototype.invm=function(t){var i=t._invmp(this.m);return 0!==i.negative?(i.negative=0,this.imod(i).redNeg()):this.imod(i)},k.prototype.pow=function(t,i){if(i.isZero())return new e(1).toRed(this);if(0===i.cmpn(1))return t.clone();var r=new Array(16);r[0]=new e(1).toRed(this),r[1]=t;for(var n=2;n<r.length;n++)r[n]=this.mul(r[n-1],t);var h=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;h!==r[0]&&(h=this.sqr(h)),0!==m||0!==o?(o<<=1,o|=m,(4===++s||0===n&&0===l)&&(h=this.mul(h,r[o]),s=0,o=0)):s=0}u=26}return h},k.prototype.convertTo=function(t){var i=t.umod(this.m);return i===t?i.clone():i},k.prototype.convertFrom=function(t){var i=t.clone();return i.red=null,i},e.mont=function(t){return new A(t)},h(A,k),A.prototype.convertTo=function(t){return this.imod(t.ushln(this.shift))},A.prototype.convertFrom=function(t){var i=this.imod(t.mul(this.rinv));return i.red=null,i},A.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),h=r.isub(n).iushrn(this.shift),e=h;return h.cmp(this.m)>=0?e=h.isub(this.m):h.cmpn(0)<0&&(e=h.iadd(this.m)),e._forceRed(this)},A.prototype.mul=function(t,i){if(t.isZero()||i.isZero())return new e(0)._forceRed(this);var r=t.mul(i),n=r.maskn(this.shift).mul(this.minv).imaskn(this.shift).mul(this.m),h=r.isub(n).iushrn(this.shift),o=h;return h.cmp(this.m)>=0?o=h.isub(this.m):h.cmpn(0)<0&&(o=h.iadd(this.m)),o._forceRed(this)},A.prototype.invm=function(t){return this.imod(t._invmp(this.m).mul(this.r2))._forceRed(this)}}(t=r.nmd(t),this)}}]);