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Et=(l+(e=e+Math.imul(f,dt)|0)|0)+((8191&(n=(n=n+Math.imul(f,pt)|0)+Math.imul(m,dt)|0))<<13)|0;l=((o=o+Math.imul(m,pt)|0)+(n>>>13)|0)+(Et>>>26)|0,Et&=67108863,e=Math.imul(P,G),n=(n=Math.imul(P,H))+Math.imul(D,G)|0,o=Math.imul(D,H),e=e+Math.imul(I,V)|0,n=(n=n+Math.imul(I,K)|0)+Math.imul(T,V)|0,o=o+Math.imul(T,K)|0,e=e+Math.imul(L,J)|0,n=(n=n+Math.imul(L,X)|0)+Math.imul(U,J)|0,o=o+Math.imul(U,X)|0,e=e+Math.imul(x,Q)|0,n=(n=n+Math.imul(x,tt)|0)+Math.imul(B,Q)|0,o=o+Math.imul(B,tt)|0,e=e+Math.imul(O,rt)|0,n=(n=n+Math.imul(O,et)|0)+Math.imul(S,rt)|0,o=o+Math.imul(S,et)|0,e=e+Math.imul(A,ot)|0,n=(n=n+Math.imul(A,ht)|0)+Math.imul(N,ot)|0,o=o+Math.imul(N,ht)|0,e=e+Math.imul(y,ut)|0,n=(n=n+Math.imul(y,lt)|0)+Math.imul(b,ut)|0,o=o+Math.imul(b,lt)|0,e=e+Math.imul(v,ft)|0,n=(n=n+Math.imul(v,mt)|0)+Math.imul(M,ft)|0,o=o+Math.imul(M,mt)|0;var Ot=(l+(e=e+Math.imul(d,dt)|0)|0)+((8191&(n=(n=n+Math.imul(d,pt)|0)+Math.imul(p,dt)|0))<<13)|0;l=((o=o+Math.imul(p,pt)|0)+(n>>>13)|0)+(Ot>>>26)|0,Ot&=67108863,e=Math.imul(P,V),n=(n=Math.imul(P,K))+Math.imul(D,V)|0,o=Math.imul(D,K),e=e+Math.imul(I,J)|0,n=(n=n+Math.imul(I,X)|0)+Math.imul(T,J)|0,o=o+Math.imul(T,X)|0,e=e+Math.imul(L,Q)|0,n=(n=n+Math.imul(L,tt)|0)+Math.imul(U,Q)|0,o=o+Math.imul(U,tt)|0,e=e+Math.imul(x,rt)|0,n=(n=n+Math.imul(x,et)|0)+Math.imul(B,rt)|0,o=o+Math.imul(B,et)|0,e=e+Math.imul(O,ot)|0,n=(n=n+Math.imul(O,ht)|0)+Math.imul(S,ot)|0,o=o+Math.imul(S,ht)|0,e=e+Math.imul(A,ut)|0,n=(n=n+Math.imul(A,lt)|0)+Math.imul(N,ut)|0,o=o+Math.imul(N,lt)|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 St=(l+(e=e+Math.imul(v,dt)|0)|0)+((8191&(n=(n=n+Math.imul(v,pt)|0)+Math.imul(M,dt)|0))<<13)|0;l=((o=o+Math.imul(M,pt)|0)+(n>>>13)|0)+(St>>>26)|0,St&=67108863,e=Math.imul(P,J),n=(n=Math.imul(P,X))+Math.imul(D,J)|0,o=Math.imul(D,X),e=e+Math.imul(I,Q)|0,n=(n=n+Math.imul(I,tt)|0)+Math.imul(T,Q)|0,o=o+Math.imul(T,tt)|0,e=e+Math.imul(L,rt)|0,n=(n=n+Math.imul(L,et)|0)+Math.imul(U,rt)|0,o=o+Math.imul(U,et)|0,e=e+Math.imul(x,ot)|0,n=(n=n+Math.imul(x,ht)|0)+Math.imul(B,ot)|0,o=o+Math.imul(B,ht)|0,e=e+Math.imul(O,ut)|0,n=(n=n+Math.imul(O,lt)|0)+Math.imul(S,ut)|0,o=o+Math.imul(S,lt)|0,e=e+Math.imul(A,ft)|0,n=(n=n+Math.imul(A,mt)|0)+Math.imul(N,ft)|0,o=o+Math.imul(N,mt)|0;var kt=(l+(e=e+Math.imul(y,dt)|0)|0)+((8191&(n=(n=n+Math.imul(y,pt)|0)+Math.imul(b,dt)|0))<<13)|0;l=((o=o+Math.imul(b,pt)|0)+(n>>>13)|0)+(kt>>>26)|0,kt&=67108863,e=Math.imul(P,Q),n=(n=Math.imul(P,tt))+Math.imul(D,Q)|0,o=Math.imul(D,tt),e=e+Math.imul(I,rt)|0,n=(n=n+Math.imul(I,et)|0)+Math.imul(T,rt)|0,o=o+Math.imul(T,et)|0,e=e+Math.imul(L,ot)|0,n=(n=n+Math.imul(L,ht)|0)+Math.imul(U,ot)|0,o=o+Math.imul(U,ht)|0,e=e+Math.imul(x,ut)|0,n=(n=n+Math.imul(x,lt)|0)+Math.imul(B,ut)|0,o=o+Math.imul(B,lt)|0,e=e+Math.imul(O,ft)|0,n=(n=n+Math.imul(O,mt)|0)+Math.imul(S,ft)|0,o=o+Math.imul(S,mt)|0;var xt=(l+(e=e+Math.imul(A,dt)|0)|0)+((8191&(n=(n=n+Math.imul(A,pt)|0)+Math.imul(N,dt)|0))<<13)|0;l=((o=o+Math.imul(N,pt)|0)+(n>>>13)|0)+(xt>>>26)|0,xt&=67108863,e=Math.imul(P,rt),n=(n=Math.imul(P,et))+Math.imul(D,rt)|0,o=Math.imul(D,et),e=e+Math.imul(I,ot)|0,n=(n=n+Math.imul(I,ht)|0)+Math.imul(T,ot)|0,o=o+Math.imul(T,ht)|0,e=e+Math.imul(L,ut)|0,n=(n=n+Math.imul(L,lt)|0)+Math.imul(U,ut)|0,o=o+Math.imul(U,lt)|0,e=e+Math.imul(x,ft)|0,n=(n=n+Math.imul(x,mt)|0)+Math.imul(B,ft)|0,o=o+Math.imul(B,mt)|0;var Bt=(l+(e=e+Math.imul(O,dt)|0)|0)+((8191&(n=(n=n+Math.imul(O,pt)|0)+Math.imul(S,dt)|0))<<13)|0;l=((o=o+Math.imul(S,pt)|0)+(n>>>13)|0)+(Bt>>>26)|0,Bt&=67108863,e=Math.imul(P,ot),n=(n=Math.imul(P,ht))+Math.imul(D,ot)|0,o=Math.imul(D,ht),e=e+Math.imul(I,ut)|0,n=(n=n+Math.imul(I,lt)|0)+Math.imul(T,ut)|0,o=o+Math.imul(T,lt)|0,e=e+Math.imul(L,ft)|0,n=(n=n+Math.imul(L,mt)|0)+Math.imul(U,ft)|0,o=o+Math.imul(U,mt)|0;var Rt=(l+(e=e+Math.imul(x,dt)|0)|0)+((8191&(n=(n=n+Math.imul(x,pt)|0)+Math.imul(B,dt)|0))<<13)|0;l=((o=o+Math.imul(B,pt)|0)+(n>>>13)|0)+(Rt>>>26)|0,Rt&=67108863,e=Math.imul(P,ut),n=(n=Math.imul(P,lt))+Math.imul(D,ut)|0,o=Math.imul(D,lt),e=e+Math.imul(I,ft)|0,n=(n=n+Math.imul(I,mt)|0)+Math.imul(T,ft)|0,o=o+Math.imul(T,mt)|0;var Lt=(l+(e=e+Math.imul(L,dt)|0)|0)+((8191&(n=(n=n+Math.imul(L,pt)|0)+Math.imul(U,dt)|0))<<13)|0;l=((o=o+Math.imul(U,pt)|0)+(n>>>13)|0)+(Lt>>>26)|0,Lt&=67108863,e=Math.imul(P,ft),n=(n=Math.imul(P,mt))+Math.imul(D,ft)|0,o=Math.imul(D,mt);var Ut=(l+(e=e+Math.imul(I,dt)|0)|0)+((8191&(n=(n=n+Math.imul(I,pt)|0)+Math.imul(T,dt)|0))<<13)|0;l=((o=o+Math.imul(T,pt)|0)+(n>>>13)|0)+(Ut>>>26)|0,Ut&=67108863;var Ct=(l+(e=Math.imul(P,dt))|0)+((8191&(n=(n=Math.imul(P,pt))+Math.imul(D,dt)|0))<<13)|0;return l=((o=Math.imul(D,pt))+(n>>>13)|0)+(Ct>>>26)|0,Ct&=67108863,u[0]=gt,u[1]=vt,u[2]=Mt,u[3]=wt,u[4]=yt,u[5]=bt,u[6]=_t,u[7]=At,u[8]=Nt,u[9]=Et,u[10]=Ot,u[11]=St,u[12]=kt,u[13]=xt,u[14]=Bt,u[15]=Rt,u[16]=Lt,u[17]=Ut,u[18]=Ct,0!==l&&(u[19]=l,r.length++),r};function v(t,i,r){r.negative=i.negative^t.negative,r.length=t.length+i.length;for(var e=0,n=0,o=0;o>>26)|0)>>>26,h&=67108863}r.words[o]=s,e=h,h=n}return 0!==e?r.words[o]=e:r.length--,r._strip()}function M(t,i,r){return v(t,i,r)}function w(t,i){this.x=t,this.y=i}Math.imul||(g=p),o.prototype.mulTo=function(t,i){var r=this.length+t.length;return 10===this.length&&10===t.length?g(this,t,i):r<63?p(this,t,i):r<1024?v(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>=1;return e},w.prototype.permute=function(t,i,r,e,n,o){for(var h=0;h>>=1)n++;return 1<>>=13,r[2*h+1]=8191&o,o>>>=13;for(h=2*i;h>=26,r+=o/67108864|0,r+=h>>>26,this.words[n]=67108863&h}return 0!==r&&(this.words[n]=r,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>>n&1}return i}(t);if(0===i.length)return new o(1);for(var r=this,e=0;e=0);var i,r=t%26,n=(t-r)/26,o=67108863>>>26-r<<26-r;if(0!==r){var h=0;for(i=0;i>>26-r}h&&(this.words[i]=h,this.length++)}if(0!==n){for(i=this.length-1;i>=0;i--)this.words[i+n]=this.words[i];for(i=0;i=0),n=i?(i-i%26)/26:0;var o=t%26,h=Math.min((t-o)/26,this.length),s=67108863^67108863>>>o<h)for(this.length-=h,l=0;l=0&&(0!==a||l>=n);l--){var f=0|this.words[l];this.words[l]=a<<26-o|f>>>o,a=f&s}return u&&0!==a&&(u.words[u.length++]=a),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<=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<=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>26)-(u/67108864|0),this.words[n+r]=67108863&o}for(;n>26,this.words[n+r]=67108863&o;if(0===s)return this._strip();for(e(-1===s),s=0,n=0;n>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,h=0|n.words[n.length-1];0!==(r=26-this._countBits(h))&&(n=n.ushln(r),e.iushln(r),h=0|n.words[n.length-1]);var s,u=e.length-n.length;if("mod"!==i){(s=new o(null)).length=u+1,s.words=new Array(s.length);for(var l=0;l=0;f--){var m=67108864*(0|e.words[n.length+f])+(0|e.words[n.length+f-1]);for(m=Math.min(m/h|0,67108863),e._ishlnsubmul(n,m,f);0!==e.negative;)m--,e.negative=0,e._ishlnsubmul(n,1,f),e.isZero()||(e.negative^=1);s&&(s.words[f]=m)}return s&&s._strip(),e._strip(),"div"!==i&&0!==r&&e.iushrn(r),{div:s||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?(s=this.neg().divmod(t,i),"mod"!==i&&(n=s.div.neg()),"div"!==i&&(h=s.mod.neg(),r&&0!==h.negative&&h.iadd(t)),{div:n,mod:h}):0===this.negative&&0!==t.negative?(s=this.divmod(t.neg(),i),"mod"!==i&&(n=s.div.neg()),{div:n,mod:s.mod}):this.negative&t.negative?(s=this.neg().divmod(t.neg(),i),"div"!==i&&(h=s.mod.neg(),r&&0!==h.negative&&h.isub(t)),{div:s.div,mod:h}):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,h,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 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),h=new o(0),s=new o(0),u=new o(1),l=0;i.isEven()&&r.isEven();)i.iushrn(1),r.iushrn(1),++l;for(var a=r.clone(),f=i.clone();!i.isZero();){for(var m=0,c=1;!(i.words[0]&c)&&m<26;++m,c<<=1);if(m>0)for(i.iushrn(m);m-- >0;)(n.isOdd()||h.isOdd())&&(n.iadd(a),h.isub(f)),n.iushrn(1),h.iushrn(1);for(var d=0,p=1;!(r.words[0]&p)&&d<26;++d,p<<=1);if(d>0)for(r.iushrn(d);d-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(a),u.isub(f)),s.iushrn(1),u.iushrn(1);i.cmp(r)>=0?(i.isub(r),n.isub(s),h.isub(u)):(r.isub(i),s.isub(n),u.isub(h))}return{a:s,b:u,gcd:r.iushln(l)}},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,h=new o(1),s=new o(0),u=r.clone();i.cmpn(1)>0&&r.cmpn(1)>0;){for(var l=0,a=1;!(i.words[0]&a)&&l<26;++l,a<<=1);if(l>0)for(i.iushrn(l);l-- >0;)h.isOdd()&&h.iadd(u),h.iushrn(1);for(var f=0,m=1;!(r.words[0]&m)&&f<26;++f,m<<=1);if(f>0)for(r.iushrn(f);f-- >0;)s.isOdd()&&s.iadd(u),s.iushrn(1);i.cmp(r)>=0?(i.isub(r),h.isub(s)):(r.isub(i),s.isub(h))}return(n=0===i.cmpn(1)?h:s).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<>>26,s&=67108863,this.words[h]=s}return 0!==o&&(this.words[h]=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:nt.length)return 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