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xt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(xt>>>26)|0,xt&=67108863,r=Math.imul(j,F),i=Math.imul(j,q),i=i+Math.imul(I,F)|0,o=Math.imul(I,q),r=r+Math.imul(L,V)|0,i=i+Math.imul(L,G)|0,i=i+Math.imul(P,V)|0,o=o+Math.imul(P,G)|0,r=r+Math.imul(C,K)|0,i=i+Math.imul(C,W)|0,i=i+Math.imul(T,K)|0,o=o+Math.imul(T,W)|0,r=r+Math.imul(k,X)|0,i=i+Math.imul(k,Z)|0,i=i+Math.imul(O,X)|0,o=o+Math.imul(O,Z)|0,r=r+Math.imul(x,Q)|0,i=i+Math.imul(x,tt)|0,i=i+Math.imul(M,Q)|0,o=o+Math.imul(M,tt)|0,r=r+Math.imul(_,nt)|0,i=i+Math.imul(_,rt)|0,i=i+Math.imul(w,nt)|0,o=o+Math.imul(w,rt)|0,r=r+Math.imul(m,ot)|0,i=i+Math.imul(m,at)|0,i=i+Math.imul(g,ot)|0,o=o+Math.imul(g,at)|0,r=r+Math.imul(p,ct)|0,i=i+Math.imul(p,ut)|0,i=i+Math.imul(v,ct)|0,o=o+Math.imul(v,ut)|0,r=r+Math.imul(l,lt)|0,i=i+Math.imul(l,ht)|0,i=i+Math.imul(h,lt)|0,o=o+Math.imul(h,ht)|0;var Mt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Mt>>>26)|0,Mt&=67108863,r=Math.imul(N,F),i=Math.imul(N,q),i=i+Math.imul($,F)|0,o=Math.imul($,q),r=r+Math.imul(j,V)|0,i=i+Math.imul(j,G)|0,i=i+Math.imul(I,V)|0,o=o+Math.imul(I,G)|0,r=r+Math.imul(L,K)|0,i=i+Math.imul(L,W)|0,i=i+Math.imul(P,K)|0,o=o+Math.imul(P,W)|0,r=r+Math.imul(C,X)|0,i=i+Math.imul(C,Z)|0,i=i+Math.imul(T,X)|0,o=o+Math.imul(T,Z)|0,r=r+Math.imul(k,Q)|0,i=i+Math.imul(k,tt)|0,i=i+Math.imul(O,Q)|0,o=o+Math.imul(O,tt)|0,r=r+Math.imul(x,nt)|0,i=i+Math.imul(x,rt)|0,i=i+Math.imul(M,nt)|0,o=o+Math.imul(M,rt)|0,r=r+Math.imul(_,ot)|0,i=i+Math.imul(_,at)|0,i=i+Math.imul(w,ot)|0,o=o+Math.imul(w,at)|0,r=r+Math.imul(m,ct)|0,i=i+Math.imul(m,ut)|0,i=i+Math.imul(g,ct)|0,o=o+Math.imul(g,ut)|0,r=r+Math.imul(p,lt)|0,i=i+Math.imul(p,ht)|0,i=i+Math.imul(v,lt)|0,o=o+Math.imul(v,ht)|0,r=r+Math.imul(l,pt)|0,i=i+Math.imul(l,vt)|0,i=i+Math.imul(h,pt)|0,o=o+Math.imul(h,vt)|0;var St=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(St>>>26)|0,St&=67108863,r=Math.imul(N,V),i=Math.imul(N,G),i=i+Math.imul($,V)|0,o=Math.imul($,G),r=r+Math.imul(j,K)|0,i=i+Math.imul(j,W)|0,i=i+Math.imul(I,K)|0,o=o+Math.imul(I,W)|0,r=r+Math.imul(L,X)|0,i=i+Math.imul(L,Z)|0,i=i+Math.imul(P,X)|0,o=o+Math.imul(P,Z)|0,r=r+Math.imul(C,Q)|0,i=i+Math.imul(C,tt)|0,i=i+Math.imul(T,Q)|0,o=o+Math.imul(T,tt)|0,r=r+Math.imul(k,nt)|0,i=i+Math.imul(k,rt)|0,i=i+Math.imul(O,nt)|0,o=o+Math.imul(O,rt)|0,r=r+Math.imul(x,ot)|0,i=i+Math.imul(x,at)|0,i=i+Math.imul(M,ot)|0,o=o+Math.imul(M,at)|0,r=r+Math.imul(_,ct)|0,i=i+Math.imul(_,ut)|0,i=i+Math.imul(w,ct)|0,o=o+Math.imul(w,ut)|0,r=r+Math.imul(m,lt)|0,i=i+Math.imul(m,ht)|0,i=i+Math.imul(g,lt)|0,o=o+Math.imul(g,ht)|0,r=r+Math.imul(p,pt)|0,i=i+Math.imul(p,vt)|0,i=i+Math.imul(v,pt)|0,o=o+Math.imul(v,vt)|0;var kt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(kt>>>26)|0,kt&=67108863,r=Math.imul(N,K),i=Math.imul(N,W),i=i+Math.imul($,K)|0,o=Math.imul($,W),r=r+Math.imul(j,X)|0,i=i+Math.imul(j,Z)|0,i=i+Math.imul(I,X)|0,o=o+Math.imul(I,Z)|0,r=r+Math.imul(L,Q)|0,i=i+Math.imul(L,tt)|0,i=i+Math.imul(P,Q)|0,o=o+Math.imul(P,tt)|0,r=r+Math.imul(C,nt)|0,i=i+Math.imul(C,rt)|0,i=i+Math.imul(T,nt)|0,o=o+Math.imul(T,rt)|0,r=r+Math.imul(k,ot)|0,i=i+Math.imul(k,at)|0,i=i+Math.imul(O,ot)|0,o=o+Math.imul(O,at)|0,r=r+Math.imul(x,ct)|0,i=i+Math.imul(x,ut)|0,i=i+Math.imul(M,ct)|0,o=o+Math.imul(M,ut)|0,r=r+Math.imul(_,lt)|0,i=i+Math.imul(_,ht)|0,i=i+Math.imul(w,lt)|0,o=o+Math.imul(w,ht)|0,r=r+Math.imul(m,pt)|0,i=i+Math.imul(m,vt)|0,i=i+Math.imul(g,pt)|0,o=o+Math.imul(g,vt)|0;var Ot=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,r=Math.imul(N,X),i=Math.imul(N,Z),i=i+Math.imul($,X)|0,o=Math.imul($,Z),r=r+Math.imul(j,Q)|0,i=i+Math.imul(j,tt)|0,i=i+Math.imul(I,Q)|0,o=o+Math.imul(I,tt)|0,r=r+Math.imul(L,nt)|0,i=i+Math.imul(L,rt)|0,i=i+Math.imul(P,nt)|0,o=o+Math.imul(P,rt)|0,r=r+Math.imul(C,ot)|0,i=i+Math.imul(C,at)|0,i=i+Math.imul(T,ot)|0,o=o+Math.imul(T,at)|0,r=r+Math.imul(k,ct)|0,i=i+Math.imul(k,ut)|0,i=i+Math.imul(O,ct)|0,o=o+Math.imul(O,ut)|0,r=r+Math.imul(x,lt)|0,i=i+Math.imul(x,ht)|0,i=i+Math.imul(M,lt)|0,o=o+Math.imul(M,ht)|0,r=r+Math.imul(_,pt)|0,i=i+Math.imul(_,vt)|0,i=i+Math.imul(w,pt)|0,o=o+Math.imul(w,vt)|0;var At=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(At>>>26)|0,At&=67108863,r=Math.imul(N,Q),i=Math.imul(N,tt),i=i+Math.imul($,Q)|0,o=Math.imul($,tt),r=r+Math.imul(j,nt)|0,i=i+Math.imul(j,rt)|0,i=i+Math.imul(I,nt)|0,o=o+Math.imul(I,rt)|0,r=r+Math.imul(L,ot)|0,i=i+Math.imul(L,at)|0,i=i+Math.imul(P,ot)|0,o=o+Math.imul(P,at)|0,r=r+Math.imul(C,ct)|0,i=i+Math.imul(C,ut)|0,i=i+Math.imul(T,ct)|0,o=o+Math.imul(T,ut)|0,r=r+Math.imul(k,lt)|0,i=i+Math.imul(k,ht)|0,i=i+Math.imul(O,lt)|0,o=o+Math.imul(O,ht)|0,r=r+Math.imul(x,pt)|0,i=i+Math.imul(x,vt)|0,i=i+Math.imul(M,pt)|0,o=o+Math.imul(M,vt)|0;var Ct=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Ct>>>26)|0,Ct&=67108863,r=Math.imul(N,nt),i=Math.imul(N,rt),i=i+Math.imul($,nt)|0,o=Math.imul($,rt),r=r+Math.imul(j,ot)|0,i=i+Math.imul(j,at)|0,i=i+Math.imul(I,ot)|0,o=o+Math.imul(I,at)|0,r=r+Math.imul(L,ct)|0,i=i+Math.imul(L,ut)|0,i=i+Math.imul(P,ct)|0,o=o+Math.imul(P,ut)|0,r=r+Math.imul(C,lt)|0,i=i+Math.imul(C,ht)|0,i=i+Math.imul(T,lt)|0,o=o+Math.imul(T,ht)|0,r=r+Math.imul(k,pt)|0,i=i+Math.imul(k,vt)|0,i=i+Math.imul(O,pt)|0,o=o+Math.imul(O,vt)|0;var Tt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Tt>>>26)|0,Tt&=67108863,r=Math.imul(N,ot),i=Math.imul(N,at),i=i+Math.imul($,ot)|0,o=Math.imul($,at),r=r+Math.imul(j,ct)|0,i=i+Math.imul(j,ut)|0,i=i+Math.imul(I,ct)|0,o=o+Math.imul(I,ut)|0,r=r+Math.imul(L,lt)|0,i=i+Math.imul(L,ht)|0,i=i+Math.imul(P,lt)|0,o=o+Math.imul(P,ht)|0,r=r+Math.imul(C,pt)|0,i=i+Math.imul(C,vt)|0,i=i+Math.imul(T,pt)|0,o=o+Math.imul(T,vt)|0;var Rt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,r=Math.imul(N,ct),i=Math.imul(N,ut),i=i+Math.imul($,ct)|0,o=Math.imul($,ut),r=r+Math.imul(j,lt)|0,i=i+Math.imul(j,ht)|0,i=i+Math.imul(I,lt)|0,o=o+Math.imul(I,ht)|0,r=r+Math.imul(L,pt)|0,i=i+Math.imul(L,vt)|0,i=i+Math.imul(P,pt)|0,o=o+Math.imul(P,vt)|0;var Lt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,r=Math.imul(N,lt),i=Math.imul(N,ht),i=i+Math.imul($,lt)|0,o=Math.imul($,ht),r=r+Math.imul(j,pt)|0,i=i+Math.imul(j,vt)|0,i=i+Math.imul(I,pt)|0,o=o+Math.imul(I,vt)|0;var Pt=(u+r|0)+((8191&i)<<13)|0;u=(o+(i>>>13)|0)+(Pt>>>26)|0,Pt&=67108863,r=Math.imul(N,pt),i=Math.imul(N,vt),i=i+Math.imul($,pt)|0,o=Math.imul($,vt);var Dt=(u+r|0)+((8191&i)<<13)|0;return u=(o+(i>>>13)|0)+(Dt>>>26)|0,Dt&=67108863,c[0]=bt,c[1]=mt,c[2]=gt,c[3]=yt,c[4]=_t,c[5]=wt,c[6]=Et,c[7]=xt,c[8]=Mt,c[9]=St,c[10]=kt,c[11]=Ot,c[12]=At,c[13]=Ct,c[14]=Tt,c[15]=Rt,c[16]=Lt,c[17]=Pt,c[18]=Dt,0!==u&&(c[19]=u,n.length++),n};function b(t,e,n){n.negative=e.negative^t.negative,n.length=t.length+e.length;for(var r=0,i=0,o=0;o>>26)|0,i+=a>>>26,a&=67108863}n.words[o]=s,r=a,a=i}return 0!==r?n.words[o]=r:n.length--,n.strip()}function m(t,e,n){var r=new g;return r.mulp(t,e,n)}function g(t,e){this.x=t,this.y=e}Math.imul||(v=p),o.prototype.mulTo=function(t,e){var n,r=this.length+t.length;return n=10===this.length&&10===t.length?v(this,t,e):r<63?p(this,t,e):r<1024?b(this,t,e):m(this,t,e),n},g.prototype.makeRBT=function(t){for(var e=new Array(t),n=o.prototype._countBits(t)-1,r=0;r>=1;return r},g.prototype.permute=function(t,e,n,r,i,o){for(var a=0;a>>=1)i++;return 1<>>=13,n[2*a+1]=8191&o,o>>>=13;for(a=2*e;a>=26,e+=i/67108864|0,e+=o>>>26,this.words[n]=67108863&o}return 0!==e&&(this.words[n]=e,this.length++),this},o.prototype.muln=function(t){return this.clone().imuln(t)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(t){var e=d(t);if(0===e.length)return new o(1);for(var n=this,r=0;r=0);var e,n=t%26,i=(t-n)/26,o=67108863>>>26-n<<26-n;if(0!==n){var a=0;for(e=0;e>>26-n}a&&(this.words[e]=a,this.length++)}if(0!==i){for(e=this.length-1;e>=0;e--)this.words[e+i]=this.words[e];for(e=0;e=0),i=e?(e-e%26)/26:0;var o=t%26,a=Math.min((t-o)/26,this.length),s=67108863^67108863>>>o<a)for(this.length-=a,u=0;u=0&&(0!==f||u>=i);u--){var l=0|this.words[u];this.words[u]=f<<26-o|l>>>o,f=l&s}return c&&0!==f&&(c.words[c.length++]=f),0===this.length&&(this.words[0]=0,this.length=1),this.strip()},o.prototype.ishrn=function(t,e,n){return r(0===this.negative),this.iushrn(t,e,n)},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){r("number"===typeof t&&t>=0);var e=t%26,n=(t-e)/26,i=1<=0);var e=t%26,n=(t-e)/26;if(r(0===this.negative,"imaskn works only with positive numbers"),this.length<=n)return this;if(0!==e&&n++,this.length=Math.min(n,this.length),0!==e){var i=67108863^67108863>>>e<=67108864;e++)this.words[e]-=67108864,e===this.length-1?this.words[e+1]=1:this.words[e+1]++;return this.length=Math.max(this.length,e+1),this},o.prototype.isubn=function(t){if(r("number"===typeof t),r(t<67108864),t<0)return this.iaddn(-t);if(0!==this.negative)return this.negative=0,this.iaddn(t),this.negative=1,this;if(this.words[0]-=t,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var e=0;e>26)-(c/67108864|0),this.words[i+n]=67108863&o}for(;i>26,this.words[i+n]=67108863&o;if(0===s)return this.strip();for(r(-1===s),s=0,i=0;i>26,this.words[i]=67108863&o;return this.negative=1,this.strip()},o.prototype._wordDiv=function(t,e){var n=this.length-t.length,r=this.clone(),i=t,a=0|i.words[i.length-1],s=this._countBits(a);n=26-s,0!==n&&(i=i.ushln(n),r.iushln(n),a=0|i.words[i.length-1]);var c,u=r.length-i.length;if("mod"!==e){c=new o(null),c.length=u+1,c.words=new Array(c.length);for(var f=0;f=0;h--){var d=67108864*(0|r.words[i.length+h])+(0|r.words[i.length+h-1]);d=Math.min(d/a|0,67108863),r._ishlnsubmul(i,d,h);while(0!==r.negative)d--,r.negative=0,r._ishlnsubmul(i,1,h),r.isZero()||(r.negative^=1);c&&(c.words[h]=d)}return c&&c.strip(),r.strip(),"div"!==e&&0!==n&&r.iushrn(n),{div:c||null,mod:r}},o.prototype.divmod=function(t,e,n){return r(!t.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===t.negative?(s=this.neg().divmod(t,e),"mod"!==e&&(i=s.div.neg()),"div"!==e&&(a=s.mod.neg(),n&&0!==a.negative&&a.iadd(t)),{div:i,mod:a}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),e),"mod"!==e&&(i=s.div.neg()),{div:i,mod:s.mod}):0!==(this.negative&t.negative)?(s=this.neg().divmod(t.neg(),e),"div"!==e&&(a=s.mod.neg(),n&&0!==a.negative&&a.isub(t)),{div:s.div,mod:a}):t.length>this.length||this.cmp(t)<0?{div:new o(0),mod:this}:1===t.length?"div"===e?{div:this.divn(t.words[0]),mod:null}:"mod"===e?{div:null,mod:new o(this.modn(t.words[0]))}:{div:this.divn(t.words[0]),mod:new o(this.modn(t.words[0]))}:this._wordDiv(t,e);var i,a,s},o.prototype.div=function(t){return this.divmod(t,"div",!1).div},o.prototype.mod=function(t){return this.divmod(t,"mod",!1).mod},o.prototype.umod=function(t){return this.divmod(t,"mod",!0).mod},o.prototype.divRound=function(t){var e=this.divmod(t);if(e.mod.isZero())return e.div;var n=0!==e.div.negative?e.mod.isub(t):e.mod,r=t.ushrn(1),i=t.andln(1),o=n.cmp(r);return o<0||1===i&&0===o?e.div:0!==e.div.negative?e.div.isubn(1):e.div.iaddn(1)},o.prototype.modn=function(t){r(t<=67108863);for(var e=(1<<26)%t,n=0,i=this.length-1;i>=0;i--)n=(e*n+(0|this.words[i]))%t;return n},o.prototype.idivn=function(t){r(t<=67108863);for(var e=0,n=this.length-1;n>=0;n--){var i=(0|this.words[n])+67108864*e;this.words[n]=i/t|0,e=i%t}return this.strip()},o.prototype.divn=function(t){return this.clone().idivn(t)},o.prototype.egcd=function(t){r(0===t.negative),r(!t.isZero());var e=this,n=t.clone();e=0!==e.negative?e.umod(t):e.clone();var i=new o(1),a=new o(0),s=new o(0),c=new o(1),u=0;while(e.isEven()&&n.isEven())e.iushrn(1),n.iushrn(1),++u;var f=n.clone(),l=e.clone();while(!e.isZero()){for(var h=0,d=1;0===(e.words[0]&d)&&h<26;++h,d<<=1);if(h>0){e.iushrn(h);while(h-- >0)(i.isOdd()||a.isOdd())&&(i.iadd(f),a.isub(l)),i.iushrn(1),a.iushrn(1)}for(var 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