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yt=(a+(e=e+Math.imul(f,V)|0)|0)+((8191&(n=(n=n+Math.imul(f,tt)|0)+Math.imul(m,V)|0))<<13)|0;a=((o=o+Math.imul(m,tt)|0)+(n>>>13)|0)+(yt>>>26)|0,yt&=67108863,e=Math.imul(S,T),n=(n=Math.imul(S,z))+Math.imul(B,T)|0,o=Math.imul(B,z),e=e+Math.imul(A,W)|0,n=(n=n+Math.imul(A,F)|0)+Math.imul(x,W)|0,o=o+Math.imul(x,F)|0,e=e+Math.imul(y,H)|0,n=(n=n+Math.imul(y,G)|0)+Math.imul(b,H)|0,o=o+Math.imul(b,G)|0,e=e+Math.imul(g,X)|0,n=(n=n+Math.imul(g,Y)|0)+Math.imul(M,X)|0,o=o+Math.imul(M,Y)|0,e=e+Math.imul(c,V)|0,n=(n=n+Math.imul(c,tt)|0)+Math.imul(p,V)|0,o=o+Math.imul(p,tt)|0;var bt=(a+(e=e+Math.imul(f,rt)|0)|0)+((8191&(n=(n=n+Math.imul(f,et)|0)+Math.imul(m,rt)|0))<<13)|0;a=((o=o+Math.imul(m,et)|0)+(n>>>13)|0)+(bt>>>26)|0,bt&=67108863,e=Math.imul(N,T),n=(n=Math.imul(N,z))+Math.imul(R,T)|0,o=Math.imul(R,z),e=e+Math.imul(S,W)|0,n=(n=n+Math.imul(S,F)|0)+Math.imul(B,W)|0,o=o+Math.imul(B,F)|0,e=e+Math.imul(A,H)|0,n=(n=n+Math.imul(A,G)|0)+Math.imul(x,H)|0,o=o+Math.imul(x,G)|0,e=e+Math.imul(y,X)|0,n=(n=n+Math.imul(y,Y)|0)+Math.imul(b,X)|0,o=o+Math.imul(b,Y)|0,e=e+Math.imul(g,V)|0,n=(n=n+Math.imul(g,tt)|0)+Math.imul(M,V)|0,o=o+Math.imul(M,tt)|0,e=e+Math.imul(c,rt)|0,n=(n=n+Math.imul(c,et)|0)+Math.imul(p,rt)|0,o=o+Math.imul(p,et)|0;var _t=(a+(e=e+Math.imul(f,ot)|0)|0)+((8191&(n=(n=n+Math.imul(f,st)|0)+Math.imul(m,ot)|0))<<13)|0;a=((o=o+Math.imul(m,st)|0)+(n>>>13)|0)+(_t>>>26)|0,_t&=67108863,e=Math.imul(E,T),n=(n=Math.imul(E,z))+Math.imul(C,T)|0,o=Math.imul(C,z),e=e+Math.imul(N,W)|0,n=(n=n+Math.imul(N,F)|0)+Math.imul(R,W)|0,o=o+Math.imul(R,F)|0,e=e+Math.imul(S,H)|0,n=(n=n+Math.imul(S,G)|0)+Math.imul(B,H)|0,o=o+Math.imul(B,G)|0,e=e+Math.imul(A,X)|0,n=(n=n+Math.imul(A,Y)|0)+Math.imul(x,X)|0,o=o+Math.imul(x,Y)|0,e=e+Math.imul(y,V)|0,n=(n=n+Math.imul(y,tt)|0)+Math.imul(b,V)|0,o=o+Math.imul(b,tt)|0,e=e+Math.imul(g,rt)|0,n=(n=n+Math.imul(g,et)|0)+Math.imul(M,rt)|0,o=o+Math.imul(M,et)|0,e=e+Math.imul(c,ot)|0,n=(n=n+Math.imul(c,st)|0)+Math.imul(p,ot)|0,o=o+Math.imul(p,st)|0;var At=(a+(e=e+Math.imul(f,ut)|0)|0)+((8191&(n=(n=n+Math.imul(f,at)|0)+Math.imul(m,ut)|0))<<13)|0;a=((o=o+Math.imul(m,at)|0)+(n>>>13)|0)+(At>>>26)|0,At&=67108863,e=Math.imul($,T),n=(n=Math.imul($,z))+Math.imul(j,T)|0,o=Math.imul(j,z),e=e+Math.imul(E,W)|0,n=(n=n+Math.imul(E,F)|0)+Math.imul(C,W)|0,o=o+Math.imul(C,F)|0,e=e+Math.imul(N,H)|0,n=(n=n+Math.imul(N,G)|0)+Math.imul(R,H)|0,o=o+Math.imul(R,G)|0,e=e+Math.imul(S,X)|0,n=(n=n+Math.imul(S,Y)|0)+Math.imul(B,X)|0,o=o+Math.imul(B,Y)|0,e=e+Math.imul(A,V)|0,n=(n=n+Math.imul(A,tt)|0)+Math.imul(x,V)|0,o=o+Math.imul(x,tt)|0,e=e+Math.imul(y,rt)|0,n=(n=n+Math.imul(y,et)|0)+Math.imul(b,rt)|0,o=o+Math.imul(b,et)|0,e=e+Math.imul(g,ot)|0,n=(n=n+Math.imul(g,st)|0)+Math.imul(M,ot)|0,o=o+Math.imul(M,st)|0,e=e+Math.imul(c,ut)|0,n=(n=n+Math.imul(c,at)|0)+Math.imul(p,ut)|0,o=o+Math.imul(p,at)|0;var xt=(a+(e=e+Math.imul(f,ft)|0)|0)+((8191&(n=(n=n+Math.imul(f,mt)|0)+Math.imul(m,ft)|0))<<13)|0;a=((o=o+Math.imul(m,mt)|0)+(n>>>13)|0)+(xt>>>26)|0,xt&=67108863,e=Math.imul(U,T),n=(n=Math.imul(U,z))+Math.imul(I,T)|0,o=Math.imul(I,z),e=e+Math.imul($,W)|0,n=(n=n+Math.imul($,F)|0)+Math.imul(j,W)|0,o=o+Math.imul(j,F)|0,e=e+Math.imul(E,H)|0,n=(n=n+Math.imul(E,G)|0)+Math.imul(C,H)|0,o=o+Math.imul(C,G)|0,e=e+Math.imul(N,X)|0,n=(n=n+Math.imul(N,Y)|0)+Math.imul(R,X)|0,o=o+Math.imul(R,Y)|0,e=e+Math.imul(S,V)|0,n=(n=n+Math.imul(S,tt)|0)+Math.imul(B,V)|0,o=o+Math.imul(B,tt)|0,e=e+Math.imul(A,rt)|0,n=(n=n+Math.imul(A,et)|0)+Math.imul(x,rt)|0,o=o+Math.imul(x,et)|0,e=e+Math.imul(y,ot)|0,n=(n=n+Math.imul(y,st)|0)+Math.imul(b,ot)|0,o=o+Math.imul(b,st)|0,e=e+Math.imul(g,ut)|0,n=(n=n+Math.imul(g,at)|0)+Math.imul(M,ut)|0,o=o+Math.imul(M,at)|0,e=e+Math.imul(c,ft)|0,n=(n=n+Math.imul(c,mt)|0)+Math.imul(p,ft)|0,o=o+Math.imul(p,mt)|0;var kt=(a+(e=e+Math.imul(f,ct)|0)|0)+((8191&(n=(n=n+Math.imul(f,pt)|0)+Math.imul(m,ct)|0))<<13)|0;a=((o=o+Math.imul(m,pt)|0)+(n>>>13)|0)+(kt>>>26)|0,kt&=67108863,e=Math.imul(U,W),n=(n=Math.imul(U,F))+Math.imul(I,W)|0,o=Math.imul(I,F),e=e+Math.imul($,H)|0,n=(n=n+Math.imul($,G)|0)+Math.imul(j,H)|0,o=o+Math.imul(j,G)|0,e=e+Math.imul(E,X)|0,n=(n=n+Math.imul(E,Y)|0)+Math.imul(C,X)|0,o=o+Math.imul(C,Y)|0,e=e+Math.imul(N,V)|0,n=(n=n+Math.imul(N,tt)|0)+Math.imul(R,V)|0,o=o+Math.imul(R,tt)|0,e=e+Math.imul(S,rt)|0,n=(n=n+Math.imul(S,et)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,et)|0,e=e+Math.imul(A,ot)|0,n=(n=n+Math.imul(A,st)|0)+Math.imul(x,ot)|0,o=o+Math.imul(x,st)|0,e=e+Math.imul(y,ut)|0,n=(n=n+Math.imul(y,at)|0)+Math.imul(b,ut)|0,o=o+Math.imul(b,at)|0,e=e+Math.imul(g,ft)|0,n=(n=n+Math.imul(g,mt)|0)+Math.imul(M,ft)|0,o=o+Math.imul(M,mt)|0;var St=(a+(e=e+Math.imul(c,ct)|0)|0)+((8191&(n=(n=n+Math.imul(c,pt)|0)+Math.imul(p,ct)|0))<<13)|0;a=((o=o+Math.imul(p,pt)|0)+(n>>>13)|0)+(St>>>26)|0,St&=67108863,e=Math.imul(U,H),n=(n=Math.imul(U,G))+Math.imul(I,H)|0,o=Math.imul(I,G),e=e+Math.imul($,X)|0,n=(n=n+Math.imul($,Y)|0)+Math.imul(j,X)|0,o=o+Math.imul(j,Y)|0,e=e+Math.imul(E,V)|0,n=(n=n+Math.imul(E,tt)|0)+Math.imul(C,V)|0,o=o+Math.imul(C,tt)|0,e=e+Math.imul(N,rt)|0,n=(n=n+Math.imul(N,et)|0)+Math.imul(R,rt)|0,o=o+Math.imul(R,et)|0,e=e+Math.imul(S,ot)|0,n=(n=n+Math.imul(S,st)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,st)|0,e=e+Math.imul(A,ut)|0,n=(n=n+Math.imul(A,at)|0)+Math.imul(x,ut)|0,o=o+Math.imul(x,at)|0,e=e+Math.imul(y,ft)|0,n=(n=n+Math.imul(y,mt)|0)+Math.imul(b,ft)|0,o=o+Math.imul(b,mt)|0;var Bt=(a+(e=e+Math.imul(g,ct)|0)|0)+((8191&(n=(n=n+Math.imul(g,pt)|0)+Math.imul(M,ct)|0))<<13)|0;a=((o=o+Math.imul(M,pt)|0)+(n>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,e=Math.imul(U,X),n=(n=Math.imul(U,Y))+Math.imul(I,X)|0,o=Math.imul(I,Y),e=e+Math.imul($,V)|0,n=(n=n+Math.imul($,tt)|0)+Math.imul(j,V)|0,o=o+Math.imul(j,tt)|0,e=e+Math.imul(E,rt)|0,n=(n=n+Math.imul(E,et)|0)+Math.imul(C,rt)|0,o=o+Math.imul(C,et)|0,e=e+Math.imul(N,ot)|0,n=(n=n+Math.imul(N,st)|0)+Math.imul(R,ot)|0,o=o+Math.imul(R,st)|0,e=e+Math.imul(S,ut)|0,n=(n=n+Math.imul(S,at)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,at)|0,e=e+Math.imul(A,ft)|0,n=(n=n+Math.imul(A,mt)|0)+Math.imul(x,ft)|0,o=o+Math.imul(x,mt)|0;var Lt=(a+(e=e+Math.imul(y,ct)|0)|0)+((8191&(n=(n=n+Math.imul(y,pt)|0)+Math.imul(b,ct)|0))<<13)|0;a=((o=o+Math.imul(b,pt)|0)+(n>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,e=Math.imul(U,V),n=(n=Math.imul(U,tt))+Math.imul(I,V)|0,o=Math.imul(I,tt),e=e+Math.imul($,rt)|0,n=(n=n+Math.imul($,et)|0)+Math.imul(j,rt)|0,o=o+Math.imul(j,et)|0,e=e+Math.imul(E,ot)|0,n=(n=n+Math.imul(E,st)|0)+Math.imul(C,ot)|0,o=o+Math.imul(C,st)|0,e=e+Math.imul(N,ut)|0,n=(n=n+Math.imul(N,at)|0)+Math.imul(R,ut)|0,o=o+Math.imul(R,at)|0,e=e+Math.imul(S,ft)|0,n=(n=n+Math.imul(S,mt)|0)+Math.imul(B,ft)|0,o=o+Math.imul(B,mt)|0;var Nt=(a+(e=e+Math.imul(A,ct)|0)|0)+((8191&(n=(n=n+Math.imul(A,pt)|0)+Math.imul(x,ct)|0))<<13)|0;a=((o=o+Math.imul(x,pt)|0)+(n>>>13)|0)+(Nt>>>26)|0,Nt&=67108863,e=Math.imul(U,rt),n=(n=Math.imul(U,et))+Math.imul(I,rt)|0,o=Math.imul(I,et),e=e+Math.imul($,ot)|0,n=(n=n+Math.imul($,st)|0)+Math.imul(j,ot)|0,o=o+Math.imul(j,st)|0,e=e+Math.imul(E,ut)|0,n=(n=n+Math.imul(E,at)|0)+Math.imul(C,ut)|0,o=o+Math.imul(C,at)|0,e=e+Math.imul(N,ft)|0,n=(n=n+Math.imul(N,mt)|0)+Math.imul(R,ft)|0,o=o+Math.imul(R,mt)|0;var Rt=(a+(e=e+Math.imul(S,ct)|0)|0)+((8191&(n=(n=n+Math.imul(S,pt)|0)+Math.imul(B,ct)|0))<<13)|0;a=((o=o+Math.imul(B,pt)|0)+(n>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,e=Math.imul(U,ot),n=(n=Math.imul(U,st))+Math.imul(I,ot)|0,o=Math.imul(I,st),e=e+Math.imul($,ut)|0,n=(n=n+Math.imul($,at)|0)+Math.imul(j,ut)|0,o=o+Math.imul(j,at)|0,e=e+Math.imul(E,ft)|0,n=(n=n+Math.imul(E,mt)|0)+Math.imul(C,ft)|0,o=o+Math.imul(C,mt)|0;var qt=(a+(e=e+Math.imul(N,ct)|0)|0)+((8191&(n=(n=n+Math.imul(N,pt)|0)+Math.imul(R,ct)|0))<<13)|0;a=((o=o+Math.imul(R,pt)|0)+(n>>>13)|0)+(qt>>>26)|0,qt&=67108863,e=Math.imul(U,ut),n=(n=Math.imul(U,at))+Math.imul(I,ut)|0,o=Math.imul(I,at),e=e+Math.imul($,ft)|0,n=(n=n+Math.imul($,mt)|0)+Math.imul(j,ft)|0,o=o+Math.imul(j,mt)|0;var Et=(a+(e=e+Math.imul(E,ct)|0)|0)+((8191&(n=(n=n+Math.imul(E,pt)|0)+Math.imul(C,ct)|0))<<13)|0;a=((o=o+Math.imul(C,pt)|0)+(n>>>13)|0)+(Et>>>26)|0,Et&=67108863,e=Math.imul(U,ft),n=(n=Math.imul(U,mt))+Math.imul(I,ft)|0,o=Math.imul(I,mt);var Ct=(a+(e=e+Math.imul($,ct)|0)|0)+((8191&(n=(n=n+Math.imul($,pt)|0)+Math.imul(j,ct)|0))<<13)|0;a=((o=o+Math.imul(j,pt)|0)+(n>>>13)|0)+(Ct>>>26)|0,Ct&=67108863;var Zt=(a+(e=Math.imul(U,ct))|0)+((8191&(n=(n=Math.imul(U,pt))+Math.imul(I,ct)|0))<<13)|0;return a=((o=Math.imul(I,pt))+(n>>>13)|0)+(Zt>>>26)|0,Zt&=67108863,u[0]=vt,u[1]=gt,u[2]=Mt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=At,u[8]=xt,u[9]=kt,u[10]=St,u[11]=Bt,u[12]=Lt,u[13]=Nt,u[14]=Rt,u[15]=qt,u[16]=Et,u[17]=Ct,u[18]=Zt,0!==a&&(u[19]=a,r.length++),r};function g(t,i,r){r.negative=i.negative^t.negative,r.length=t.length+i.length;for(var e=0,n=0,o=0;o<r.length-1;o++){var s=n;n=0;for(var h=67108863&e,u=Math.min(o,i.length-1),a=Math.max(0,o-t.length+1);a<=u;a++){var l=o-a,f=(0|t.words[l])*(0|i.words[a]),m=67108863&f;h=67108863&(m=m+h|0),n+=(s=(s=s+(f/67108864|0)|0)+(m>>>26)|0)>>>26,s&=67108863}r.words[o]=h,e=s,s=n}return 0!==e?r.words[o]=e:r.length--,r._strip()}function M(t,i,r){return g(t,i,r)}function w(t,i){this.x=t,this.y=i}Math.imul||(v=p),o.prototype.mulTo=function(t,i){var r=this.length+t.length;return 10===this.length&&10===t.length?v(this,t,i):r<63?p(this,t,i):r<1024?g(this,t,i):M(this,t,i)},w.prototype.makeRBT=function(t){for(var i=new Array(t),r=o.prototype._countBits(t)-1,e=0;e<t;e++)i[e]=this.revBin(e,r,t);return i},w.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},w.prototype.permute=function(t,i,r,e,n,o){for(var s=0;s<o;s++)e[s]=i[t[s]],n[s]=r[t[s]]},w.prototype.transform=function(t,i,r,e,n,o){this.permute(o,t,i,r,e,n);for(var s=1;s<n;s<<=1)for(var h=s<<1,u=Math.cos(2*Math.PI/h),a=Math.sin(2*Math.PI/h),l=0;l<n;l+=h)for(var f=u,m=a,d=0;d<s;d++){var c=r[l+d],p=e[l+d],v=r[l+d+s],g=e[l+d+s],M=f*v-m*g;g=f*g+m*v,v=M,r[l+d]=c+v,e[l+d]=p+g,r[l+d+s]=c-v,e[l+d+s]=p-g,d!==h&&(M=u*f-a*m,m=u*m+a*f,f=M)}},w.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},w.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}},w.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},w.prototype.convert13b=function(t,i,r,n){for(var o=0,s=0;s<i;s++)o+=0|t[s],r[2*s]=8191&o,o>>>=13,r[2*s+1]=8191&o,o>>>=13;for(s=2*i;s<n;++s)r[s]=0;e(0===o),e(!(-8192&o))},w.prototype.stub=function(t){for(var i=new Array(t),r=0;r<t;r++)i[r]=0;return i},w.prototype.mulp=function(t,i,r){var e=2*this.guessLen13b(t.length,i.length),n=this.makeRBT(e),o=this.stub(e),s=new Array(e),h=new Array(e),u=new Array(e),a=new Array(e),l=new Array(e),f=new Array(e),m=r.words;m.length=e,this.convert13b(t.words,t.length,s,e),this.convert13b(i.words,i.length,a,e),this.transform(s,o,h,u,e,n),this.transform(a,o,l,f,e,n);for(var d=0;d<e;d++){var c=h[d]*l[d]-u[d]*f[d];u[d]=h[d]*f[d]+u[d]*l[d],h[d]=c}return this.conjugate(h,u,e),this.transform(h,u,m,o,e,n),this.conjugate(m,o,e),this.normalize13b(m,e),r.negative=t.negative^i.negative,r.length=t.length+i.length,r._strip()},o.prototype.mul=function(t){var i=new o(null);return i.words=new Array(this.length+t.length),this.mulTo(t,i)},o.prototype.mulf=function(t){var i=new o(null);return i.words=new Array(this.length+t.length),M(this,t,i)},o.prototype.imul=function(t){return this.clone().mulTo(t,this)},o.prototype.imuln=function(t){var i=t<0;i&&(t=-t),e("number"==typeof t),e(t<67108864);for(var r=0,n=0;n<this.length;n++){var o=(0|this.words[n])*t,s=(67108863&o)+(67108863&r);r>>=26,r+=o/67108864|0,r+=s>>>26,this.words[n]=67108863&s}return 0!==r&&(this.words[n]=r,this.length++),this.length=0===t?1:this.length,i?this.ineg():this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var 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]>>>n&1}return i}(t);if(0===i.length)return new o(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},o.prototype.iushln=function(t){e("number"==typeof t&&t>=0);var i,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var s=0;for(i=0;i<this.length;i++){var h=this.words[i]&o,u=(0|this.words[i])-h<<r;this.words[i]=u|s,s=h>>>26-r}s&&(this.words[i]=s,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()},o.prototype.ishln=function(t){return e(0===this.negative),this.iushln(t)},o.prototype.iushrn=function(t,i,r){var n;e("number"==typeof t&&t>=0),n=i?(i-i%26)/26:0;var o=t%26,s=Math.min((t-o)/26,this.length),h=67108863^67108863>>>o<<o,u=r;if(n-=s,n=Math.max(0,n),u){for(var a=0;a<s;a++)u.words[a]=this.words[a];u.length=s}if(0===s);else if(this.length>s)for(this.length-=s,a=0;a<this.length;a++)this.words[a]=this.words[a+s];else this.words[0]=0,this.length=1;var l=0;for(a=this.length-1;a>=0&&(0!==l||a>=n);a--){var f=0|this.words[a];this.words[a]=l<<26-o|f>>>o,l=f&h}return u&&0!==l&&(u.words[u.length++]=l),0===this.length&&(this.words[0]=0,this.length=1),this._strip()},o.prototype.ishrn=function(t,i,r){return e(0===this.negative),this.iushrn(t,i,r)},o.prototype.shln=function(t){return this.clone().ishln(t)},o.prototype.ushln=function(t){return this.clone().iushln(t)},o.prototype.shrn=function(t){return this.clone().ishrn(t)},o.prototype.ushrn=function(t){return this.clone().iushrn(t)},o.prototype.testn=function(t){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))},o.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()},o.prototype.maskn=function(t){return this.clone().imaskn(t)},o.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)},o.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},o.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()},o.prototype.addn=function(t){return this.clone().iaddn(t)},o.prototype.subn=function(t){return this.clone().isubn(t)},o.prototype.iabs=function(){return this.negative=0,this},o.prototype.abs=function(){return this.clone().iabs()},o.prototype._ishlnsubmul=function(t,i,r){var n,o,s=t.length+r;this._expand(s);var h=0;for(n=0;n<t.length;n++){o=(0|this.words[n+r])+h;var u=(0|t.words[n])*i;h=((o-=67108863&u)>>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n<this.length-r;n++)h=(o=(0|this.words[n+r])+h)>>26,this.words[n+r]=67108863&o;if(0===h)return this._strip();for(e(-1===h),h=0,n=0;n<this.length;n++)h=(o=-(0|this.words[n])+h)>>26,this.words[n]=67108863&o;return this.negative=1,this._strip()},o.prototype._wordDiv=function(t,i){var r=(this.length,t.length),e=this.clone(),n=t,s=0|n.words[n.length-1];0!=(r=26-this._countBits(s))&&(n=n.ushln(r),e.iushln(r),s=0|n.words[n.length-1]);var h,u=e.length-n.length;if("mod"!==i){(h=new o(null)).length=u+1,h.words=new Array(h.length);for(var a=0;a<h.length;a++)h.words[a]=0}var l=e.clone()._ishlnsubmul(n,1,u);0===l.negative&&(e=l,h&&(h.words[u]=1));for(var f=u-1;f>=0;f--){var m=67108864*(0|e.words[n.length+f])+(0|e.words[n.length+f-1]);for(m=Math.min(m/s|0,67108863),e._ishlnsubmul(n,m,f);0!==e.negative;)m--,e.negative=0,e._ishlnsubmul(n,1,f),e.isZero()||(e.negative^=1);h&&(h.words[f]=m)}return h&&h._strip(),e._strip(),"div"!==i&&0!==r&&e.iushrn(r),{div:h||null,mod:e}},o.prototype.divmod=function(t,i,r){return e(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(h=this.neg().divmod(t,i),"mod"!==i&&(n=h.div.neg()),"div"!==i&&(s=h.mod.neg(),r&&0!==s.negative&&s.iadd(t)),{div:n,mod:s}):0===this.negative&&0!==t.negative?(h=this.divmod(t.neg(),i),"mod"!==i&&(n=h.div.neg()),{div:n,mod:h.mod}):0!==(this.negative&t.negative)?(h=this.neg().divmod(t.neg(),i),"div"!==i&&(s=h.mod.neg(),r&&0!==s.negative&&s.isub(t)),{div:h.div,mod:s}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===i?{div:this.divn(t.words[0]),mod:null}:"mod"===i?{div:null,mod:new o(this.modrn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modrn(t.words[0]))}:this._wordDiv(t,i);var n,s,h},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var 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),o=r.cmp(e);return o<0||1===n&&0===o?i.div:0!==i.div.negative?i.div.isubn(1):i.div.iaddn(1)},o.prototype.modrn=function(t){var i=t<0;i&&(t=-t),e(t<=67108863);for(var r=(1<<26)%t,n=0,o=this.length-1;o>=0;o--)n=(r*n+(0|this.words[o]))%t;return i?-n:n},o.prototype.modn=function(t){return this.modrn(t)},o.prototype.idivn=function(t){var i=t<0;i&&(t=-t),e(t<=67108863);for(var r=0,n=this.length-1;n>=0;n--){var o=(0|this.words[n])+67108864*r;this.words[n]=o/t|0,r=o%t}return this._strip(),i?this.ineg():this},o.prototype.divn=function(t){return this.clone().idivn(t)},o.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 o(1),s=new o(0),h=new o(0),u=new o(1),a=0;i.isEven()&&r.isEven();)i.iushrn(1),r.iushrn(1),++a;for(var l=r.clone(),f=i.clone();!i.isZero();){for(var m=0,d=1;0===(i.words[0]&d)&&m<26;++m,d<<=1);if(m>0)for(i.iushrn(m);m-- >0;)(n.isOdd()||s.isOdd())&&(n.iadd(l),s.isub(f)),n.iushrn(1),s.iushrn(1);for(var c=0,p=1;0===(r.words[0]&p)&&c<26;++c,p<<=1);if(c>0)for(r.iushrn(c);c-- >0;)(h.isOdd()||u.isOdd())&&(h.iadd(l),u.isub(f)),h.iushrn(1),u.iushrn(1);i.cmp(r)>=0?(i.isub(r),n.isub(h),s.isub(u)):(r.isub(i),h.isub(n),u.isub(s))}return{a:h,b:u,gcd:r.iushln(a)}},o.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,s=new o(1),h=new o(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;)s.isOdd()&&s.iadd(u),s.iushrn(1);for(var f=0,m=1;0===(r.words[0]&m)&&f<26;++f,m<<=1);if(f>0)for(r.iushrn(f);f-- >0;)h.isOdd()&&h.iadd(u),h.iushrn(1);i.cmp(r)>=0?(i.isub(r),s.isub(h)):(r.isub(i),h.isub(s))}return(n=0===i.cmpn(1)?s:h).cmpn(0)<0&&n.iadd(t),n},o.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 o=i;i=r,r=o}else if(0===n||0===r.cmpn(1))break;i.isub(r)}return r.iushln(e)},o.prototype.invm=function(t){return this.egcd(t).a.umod(t)},o.prototype.isEven=function(){return!(1&this.words[0])},o.prototype.isOdd=function(){return!(1&~this.words[0])},o.prototype.andln=function(t){return this.words[0]&t},o.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 o=n,s=r;0!==o&&s<this.length;s++){var h=0|this.words[s];o=(h+=o)>>>26,h&=67108863,this.words[s]=h}return 0!==o&&(this.words[s]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.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},o.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},o.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},o.prototype.gtn=function(t){return 1===this.cmpn(t)},o.prototype.gt=function(t){return 1===this.cmp(t)},o.prototype.gten=function(t){return this.cmpn(t)>=0},o.prototype.gte=function(t){return this.cmp(t)>=0},o.prototype.ltn=function(t){return-1===this.cmpn(t)},o.prototype.lt=function(t){return-1===this.cmp(t)},o.prototype.lten=function(t){return this.cmpn(t)<=0},o.prototype.lte=function(t){return this.cmp(t)<=0},o.prototype.eqn=function(t){return 0===this.cmpn(t)},o.prototype.eq=function(t){return 0===this.cmp(t)},o.red=function(t){return new S(t)},o.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)},o.prototype.fromRed=function(){return e(this.red,"fromRed works only with numbers in reduction context"),this.red.convertFrom(this)},o.prototype._forceRed=function(t){return this.red=t,this},o.prototype.forceRed=function(t){return e(!this.red,"Already a number in reduction context"),this._forceRed(t)},o.prototype.redAdd=function(t){return e(this.red,"redAdd works only with red numbers"),this.red.add(this,t)},o.prototype.redIAdd=function(t){return e(this.red,"redIAdd works only with red numbers"),this.red.iadd(this,t)},o.prototype.redSub=function(t){return e(this.red,"redSub works only with red numbers"),this.red.sub(this,t)},o.prototype.redISub=function(t){return e(this.red,"redISub works only with red numbers"),this.red.isub(this,t)},o.prototype.redShl=function(t){return e(this.red,"redShl works only with red numbers"),this.red.shl(this,t)},o.prototype.redMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.mul(this,t)},o.prototype.redIMul=function(t){return e(this.red,"redMul works only with red numbers"),this.red._verify2(this,t),this.red.imul(this,t)},o.prototype.redSqr=function(){return e(this.red,"redSqr works only with red numbers"),this.red._verify1(this),this.red.sqr(this)},o.prototype.redISqr=function(){return e(this.red,"redISqr works only with red numbers"),this.red._verify1(this),this.red.isqr(this)},o.prototype.redSqrt=function(){return e(this.red,"redSqrt works only with red numbers"),this.red._verify1(this),this.red.sqrt(this)},o.prototype.redInvm=function(){return e(this.red,"redInvm works only with red numbers"),this.red._verify1(this),this.red.invm(this)},o.prototype.redNeg=function(){return e(this.red,"redNeg works only with red numbers"),this.red._verify1(this),this.red.neg(this)},o.prototype.redPow=function(t){return e(this.red&&!t.red,"redPow(normalNum)"),this.red._verify1(this),this.red.pow(this,t)};var y={k256:null,p224:null,p192:null,p25519:null};function b(t,i){this.name=t,this.p=new o(i,16),this.n=this.p.bitLength(),this.k=new o(1).iushln(this.n).isub(this.p),this.tmp=this._tmp()}function _(){b.call(this,"k256","ffffffff ffffffff ffffffff ffffffff ffffffff ffffffff fffffffe fffffc2f")}function A(){b.call(this,"p224","ffffffff ffffffff ffffffff ffffffff 00000000 00000000 00000001")}function x(){b.call(this,"p192","ffffffff ffffffff ffffffff fffffffe ffffffff ffffffff")}function k(){b.call(this,"25519","7fffffffffffffff ffffffffffffffff ffffffffffffffff ffffffffffffffed")}function S(t){if("string"==typeof t){var i=o._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 B(t){S.call(this,t),this.shift=this.m.bitLength(),this.shift%26!=0&&(this.shift+=26-this.shift%26),this.r=new o(1).iushln(this.shift),this.r2=this.imod(this.r.sqr()),this.rinv=this.r._invmp(this.m),this.minv=this.rinv.mul(this.r).isubn(1).div(this.m),this.minv=this.minv.umod(this.r),this.minv=this.r.sub(this.minv)}b.prototype._tmp=function(){var t=new o(null);return t.words=new Array(Math.ceil(this.n/13)),t},b.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):void 0!==r.strip?r.strip():r._strip(),r},b.prototype.split=function(t,i){t.iushrn(this.n,0,i)},b.prototype.imulK=function(t){return t.imul(this.k)},n(_,b),_.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 o=t.words[9];for(i.words[i.length++]=o&r,n=10;n<t.length;n++){var s=0|t.words[n];t.words[n-10]=(s&r)<<4|o>>>22,o=s}o>>>=22,t.words[n-10]=o,0===o&&t.length>10?t.length-=10:t.length-=9},_.prototype.imulK=function(t){t.words[t.length]=0,t.words[t.length+1]=0,t.length+=2;for(var 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(A,b),n(x,b),n(k,b),k.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},o._prime=function(t){if(y[t])return y[t];var i;if("k256"===t)i=new _;else if("p224"===t)i=new A;else if("p192"===t)i=new x;else{if("p25519"!==t)throw new Error("Unknown prime "+t);i=new k}return y[t]=i,i},S.prototype._verify1=function(t){e(0===t.negative,"red works only with positives"),e(t.red,"red works only with red numbers")},S.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")},S.prototype.imod=function(t){return this.prime?this.prime.ireduce(t)._forceRed(this):(l(t,t.umod(this.m)._forceRed(this)),t)},S.prototype.neg=function(t){return t.isZero()?t.clone():this.m.sub(t)._forceRed(this)},S.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)},S.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},S.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)},S.prototype.isub=function(t,i){this._verify2(t,i);var r=t.isub(i);return r.cmpn(0)<0&&r.iadd(this.m),r},S.prototype.shl=function(t,i){return this._verify1(t),this.imod(t.ushln(i))},S.prototype.imul=function(t,i){return this._verify2(t,i),this.imod(t.imul(i))},S.prototype.mul=function(t,i){return this._verify2(t,i),this.imod(t.mul(i))},S.prototype.isqr=function(t){return this.imul(t,t.clone())},S.prototype.sqr=function(t){return this.mul(t,t)},S.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 o(1)).iushrn(2);return this.pow(t,r)}for(var n=this.m.subn(1),s=0;!n.isZero()&&0===n.andln(1);)s++,n.iushrn(1);e(!n.isZero());var h=new o(1).toRed(this),u=h.redNeg(),a=this.m.subn(1).iushrn(1),l=this.m.bitLength();for(l=new o(2*l*l).toRed(this);0!==this.pow(l,a).cmp(u);)l.redIAdd(u);for(var f=this.pow(l,n),m=this.pow(t,n.addn(1).iushrn(1)),d=this.pow(t,n),c=s;0!==d.cmp(h);){for(var p=d,v=0;0!==p.cmp(h);v++)p=p.redSqr();e(v<c);var g=this.pow(f,new o(1).iushln(c-v-1));m=m.redMul(g),f=g.redSqr(),d=d.redMul(f),c=v}return m},S.prototype.invm=function(t){var i=t._invmp(this.m);return 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