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Ee=(c+(r=r+Math.imul(f,ue)|0)|0)+((8191&(i=(i=i+Math.imul(f,ce)|0)+Math.imul(h,ue)|0))<<13)|0;c=((o=o+Math.imul(h,ce)|0)+(i>>>13)|0)+(Ee>>>26)|0,Ee&=67108863,r=Math.imul(P,F),i=(i=Math.imul(P,$))+Math.imul(q,F)|0,o=Math.imul(q,$),r=r+Math.imul(I,W)|0,i=(i=i+Math.imul(I,Q)|0)+Math.imul(O,W)|0,o=o+Math.imul(O,Q)|0,r=r+Math.imul(N,V)|0,i=(i=i+Math.imul(N,K)|0)+Math.imul(M,V)|0,o=o+Math.imul(M,K)|0,r=r+Math.imul(C,Y)|0,i=(i=i+Math.imul(C,G)|0)+Math.imul(A,Y)|0,o=o+Math.imul(A,G)|0,r=r+Math.imul(E,Z)|0,i=(i=i+Math.imul(E,ee)|0)+Math.imul(k,Z)|0,o=o+Math.imul(k,ee)|0,r=r+Math.imul(_,ne)|0,i=(i=i+Math.imul(_,re)|0)+Math.imul(w,ne)|0,o=o+Math.imul(w,re)|0,r=r+Math.imul(y,oe)|0,i=(i=i+Math.imul(y,ae)|0)+Math.imul(b,oe)|0,o=o+Math.imul(b,ae)|0,r=r+Math.imul(p,ue)|0,i=(i=i+Math.imul(p,ce)|0)+Math.imul(m,ue)|0,o=o+Math.imul(m,ce)|0;var ke=(c+(r=r+Math.imul(f,fe)|0)|0)+((8191&(i=(i=i+Math.imul(f,he)|0)+Math.imul(h,fe)|0))<<13)|0;c=((o=o+Math.imul(h,he)|0)+(i>>>13)|0)+(ke>>>26)|0,ke&=67108863,r=Math.imul(L,F),i=(i=Math.imul(L,$))+Math.imul(D,F)|0,o=Math.imul(D,$),r=r+Math.imul(P,W)|0,i=(i=i+Math.imul(P,Q)|0)+Math.imul(q,W)|0,o=o+Math.imul(q,Q)|0,r=r+Math.imul(I,V)|0,i=(i=i+Math.imul(I,K)|0)+Math.imul(O,V)|0,o=o+Math.imul(O,K)|0,r=r+Math.imul(N,Y)|0,i=(i=i+Math.imul(N,G)|0)+Math.imul(M,Y)|0,o=o+Math.imul(M,G)|0,r=r+Math.imul(C,Z)|0,i=(i=i+Math.imul(C,ee)|0)+Math.imul(A,Z)|0,o=o+Math.imul(A,ee)|0,r=r+Math.imul(E,ne)|0,i=(i=i+Math.imul(E,re)|0)+Math.imul(k,ne)|0,o=o+Math.imul(k,re)|0,r=r+Math.imul(_,oe)|0,i=(i=i+Math.imul(_,ae)|0)+Math.imul(w,oe)|0,o=o+Math.imul(w,ae)|0,r=r+Math.imul(y,ue)|0,i=(i=i+Math.imul(y,ce)|0)+Math.imul(b,ue)|0,o=o+Math.imul(b,ce)|0,r=r+Math.imul(p,fe)|0,i=(i=i+Math.imul(p,he)|0)+Math.imul(m,fe)|0,o=o+Math.imul(m,he)|0;var Se=(c+(r=r+Math.imul(f,pe)|0)|0)+((8191&(i=(i=i+Math.imul(f,me)|0)+Math.imul(h,pe)|0))<<13)|0;c=((o=o+Math.imul(h,me)|0)+(i>>>13)|0)+(Se>>>26)|0,Se&=67108863,r=Math.imul(L,W),i=(i=Math.imul(L,Q))+Math.imul(D,W)|0,o=Math.imul(D,Q),r=r+Math.imul(P,V)|0,i=(i=i+Math.imul(P,K)|0)+Math.imul(q,V)|0,o=o+Math.imul(q,K)|0,r=r+Math.imul(I,Y)|0,i=(i=i+Math.imul(I,G)|0)+Math.imul(O,Y)|0,o=o+Math.imul(O,G)|0,r=r+Math.imul(N,Z)|0,i=(i=i+Math.imul(N,ee)|0)+Math.imul(M,Z)|0,o=o+Math.imul(M,ee)|0,r=r+Math.imul(C,ne)|0,i=(i=i+Math.imul(C,re)|0)+Math.imul(A,ne)|0,o=o+Math.imul(A,re)|0,r=r+Math.imul(E,oe)|0,i=(i=i+Math.imul(E,ae)|0)+Math.imul(k,oe)|0,o=o+Math.imul(k,ae)|0,r=r+Math.imul(_,ue)|0,i=(i=i+Math.imul(_,ce)|0)+Math.imul(w,ue)|0,o=o+Math.imul(w,ce)|0,r=r+Math.imul(y,fe)|0,i=(i=i+Math.imul(y,he)|0)+Math.imul(b,fe)|0,o=o+Math.imul(b,he)|0;var Ce=(c+(r=r+Math.imul(p,pe)|0)|0)+((8191&(i=(i=i+Math.imul(p,me)|0)+Math.imul(m,pe)|0))<<13)|0;c=((o=o+Math.imul(m,me)|0)+(i>>>13)|0)+(Ce>>>26)|0,Ce&=67108863,r=Math.imul(L,V),i=(i=Math.imul(L,K))+Math.imul(D,V)|0,o=Math.imul(D,K),r=r+Math.imul(P,Y)|0,i=(i=i+Math.imul(P,G)|0)+Math.imul(q,Y)|0,o=o+Math.imul(q,G)|0,r=r+Math.imul(I,Z)|0,i=(i=i+Math.imul(I,ee)|0)+Math.imul(O,Z)|0,o=o+Math.imul(O,ee)|0,r=r+Math.imul(N,ne)|0,i=(i=i+Math.imul(N,re)|0)+Math.imul(M,ne)|0,o=o+Math.imul(M,re)|0,r=r+Math.imul(C,oe)|0,i=(i=i+Math.imul(C,ae)|0)+Math.imul(A,oe)|0,o=o+Math.imul(A,ae)|0,r=r+Math.imul(E,ue)|0,i=(i=i+Math.imul(E,ce)|0)+Math.imul(k,ue)|0,o=o+Math.imul(k,ce)|0,r=r+Math.imul(_,fe)|0,i=(i=i+Math.imul(_,he)|0)+Math.imul(w,fe)|0,o=o+Math.imul(w,he)|0;var Ae=(c+(r=r+Math.imul(y,pe)|0)|0)+((8191&(i=(i=i+Math.imul(y,me)|0)+Math.imul(b,pe)|0))<<13)|0;c=((o=o+Math.imul(b,me)|0)+(i>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,r=Math.imul(L,Y),i=(i=Math.imul(L,G))+Math.imul(D,Y)|0,o=Math.imul(D,G),r=r+Math.imul(P,Z)|0,i=(i=i+Math.imul(P,ee)|0)+Math.imul(q,Z)|0,o=o+Math.imul(q,ee)|0,r=r+Math.imul(I,ne)|0,i=(i=i+Math.imul(I,re)|0)+Math.imul(O,ne)|0,o=o+Math.imul(O,re)|0,r=r+Math.imul(N,oe)|0,i=(i=i+Math.imul(N,ae)|0)+Math.imul(M,oe)|0,o=o+Math.imul(M,ae)|0,r=r+Math.imul(C,ue)|0,i=(i=i+Math.imul(C,ce)|0)+Math.imul(A,ue)|0,o=o+Math.imul(A,ce)|0,r=r+Math.imul(E,fe)|0,i=(i=i+Math.imul(E,he)|0)+Math.imul(k,fe)|0,o=o+Math.imul(k,he)|0;var Te=(c+(r=r+Math.imul(_,pe)|0)|0)+((8191&(i=(i=i+Math.imul(_,me)|0)+Math.imul(w,pe)|0))<<13)|0;c=((o=o+Math.imul(w,me)|0)+(i>>>13)|0)+(Te>>>26)|0,Te&=67108863,r=Math.imul(L,Z),i=(i=Math.imul(L,ee))+Math.imul(D,Z)|0,o=Math.imul(D,ee),r=r+Math.imul(P,ne)|0,i=(i=i+Math.imul(P,re)|0)+Math.imul(q,ne)|0,o=o+Math.imul(q,re)|0,r=r+Math.imul(I,oe)|0,i=(i=i+Math.imul(I,ae)|0)+Math.imul(O,oe)|0,o=o+Math.imul(O,ae)|0,r=r+Math.imul(N,ue)|0,i=(i=i+Math.imul(N,ce)|0)+Math.imul(M,ue)|0,o=o+Math.imul(M,ce)|0,r=r+Math.imul(C,fe)|0,i=(i=i+Math.imul(C,he)|0)+Math.imul(A,fe)|0,o=o+Math.imul(A,he)|0;var Ne=(c+(r=r+Math.imul(E,pe)|0)|0)+((8191&(i=(i=i+Math.imul(E,me)|0)+Math.imul(k,pe)|0))<<13)|0;c=((o=o+Math.imul(k,me)|0)+(i>>>13)|0)+(Ne>>>26)|0,Ne&=67108863,r=Math.imul(L,ne),i=(i=Math.imul(L,re))+Math.imul(D,ne)|0,o=Math.imul(D,re),r=r+Math.imul(P,oe)|0,i=(i=i+Math.imul(P,ae)|0)+Math.imul(q,oe)|0,o=o+Math.imul(q,ae)|0,r=r+Math.imul(I,ue)|0,i=(i=i+Math.imul(I,ce)|0)+Math.imul(O,ue)|0,o=o+Math.imul(O,ce)|0,r=r+Math.imul(N,fe)|0,i=(i=i+Math.imul(N,he)|0)+Math.imul(M,fe)|0,o=o+Math.imul(M,he)|0;var Me=(c+(r=r+Math.imul(C,pe)|0)|0)+((8191&(i=(i=i+Math.imul(C,me)|0)+Math.imul(A,pe)|0))<<13)|0;c=((o=o+Math.imul(A,me)|0)+(i>>>13)|0)+(Me>>>26)|0,Me&=67108863,r=Math.imul(L,oe),i=(i=Math.imul(L,ae))+Math.imul(D,oe)|0,o=Math.imul(D,ae),r=r+Math.imul(P,ue)|0,i=(i=i+Math.imul(P,ce)|0)+Math.imul(q,ue)|0,o=o+Math.imul(q,ce)|0,r=r+Math.imul(I,fe)|0,i=(i=i+Math.imul(I,he)|0)+Math.imul(O,fe)|0,o=o+Math.imul(O,he)|0;var Re=(c+(r=r+Math.imul(N,pe)|0)|0)+((8191&(i=(i=i+Math.imul(N,me)|0)+Math.imul(M,pe)|0))<<13)|0;c=((o=o+Math.imul(M,me)|0)+(i>>>13)|0)+(Re>>>26)|0,Re&=67108863,r=Math.imul(L,ue),i=(i=Math.imul(L,ce))+Math.imul(D,ue)|0,o=Math.imul(D,ce),r=r+Math.imul(P,fe)|0,i=(i=i+Math.imul(P,he)|0)+Math.imul(q,fe)|0,o=o+Math.imul(q,he)|0;var Ie=(c+(r=r+Math.imul(I,pe)|0)|0)+((8191&(i=(i=i+Math.imul(I,me)|0)+Math.imul(O,pe)|0))<<13)|0;c=((o=o+Math.imul(O,me)|0)+(i>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,r=Math.imul(L,fe),i=(i=Math.imul(L,he))+Math.imul(D,fe)|0,o=Math.imul(D,he);var Oe=(c+(r=r+Math.imul(P,pe)|0)|0)+((8191&(i=(i=i+Math.imul(P,me)|0)+Math.imul(q,pe)|0))<<13)|0;c=((o=o+Math.imul(q,me)|0)+(i>>>13)|0)+(Oe>>>26)|0,Oe&=67108863;var je=(c+(r=Math.imul(L,pe))|0)+((8191&(i=(i=Math.imul(L,me))+Math.imul(D,pe)|0))<<13)|0;return c=((o=Math.imul(D,me))+(i>>>13)|0)+(je>>>26)|0,je&=67108863,u[0]=ge,u[1]=ye,u[2]=be,u[3]=ve,u[4]=_e,u[5]=we,u[6]=xe,u[7]=Ee,u[8]=ke,u[9]=Se,u[10]=Ce,u[11]=Ae,u[12]=Te,u[13]=Ne,u[14]=Me,u[15]=Re,u[16]=Ie,u[17]=Oe,u[18]=je,0!==c&&(u[19]=c,n.length++),n};function p(e,t,n){return(new m).mulp(e,t,n)}function m(e,t){this.x=e,this.y=t}Math.imul||(d=h),o.prototype.mulTo=function(e,t){var n=this.length+e.length;return 10===this.length&&10===e.length?d(this,e,t):n<63?h(this,e,t):n<1024?function(e,t,n){n.negative=t.negative^e.negative,n.length=e.length+t.length;for(var r=0,i=0,o=0;o>>26)|0)>>>26,a&=67108863}n.words[o]=s,r=a,a=i}return 0!==r?n.words[o]=r:n.length--,n.strip()}(this,e,t):p(this,e,t)},m.prototype.makeRBT=function(e){for(var t=new Array(e),n=o.prototype._countBits(e)-1,r=0;r>=1;return r},m.prototype.permute=function(e,t,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*t;a>=26,t+=i/67108864|0,t+=o>>>26,this.words[n]=67108863&o}return 0!==t&&(this.words[n]=t,this.length++),this},o.prototype.muln=function(e){return this.clone().imuln(e)},o.prototype.sqr=function(){return this.mul(this)},o.prototype.isqr=function(){return this.imul(this.clone())},o.prototype.pow=function(e){var t=function(e){for(var t=new Array(e.bitLength()),n=0;n>>i}return t}(e);if(0===t.length)return new o(1);for(var n=this,r=0;r=0);var t,n=e%26,i=(e-n)/26,o=67108863>>>26-n<<26-n;if(0!==n){var a=0;for(t=0;t>>26-n}a&&(this.words[t]=a,this.length++)}if(0!==i){for(t=this.length-1;t>=0;t--)this.words[t+i]=this.words[t];for(t=0;t=0),i=t?(t-t%26)/26:0;var o=e%26,a=Math.min((e-o)/26,this.length),s=67108863^67108863>>>o<a)for(this.length-=a,c=0;c=0&&(0!==l||c>=i);c--){var f=0|this.words[c];this.words[c]=l<<26-o|f>>>o,l=f&s}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(e,t,n){return r(0===this.negative),this.iushrn(e,t,n)},o.prototype.shln=function(e){return this.clone().ishln(e)},o.prototype.ushln=function(e){return this.clone().iushln(e)},o.prototype.shrn=function(e){return this.clone().ishrn(e)},o.prototype.ushrn=function(e){return this.clone().iushrn(e)},o.prototype.testn=function(e){r("number"==typeof e&&e>=0);var t=e%26,n=(e-t)/26,i=1<=0);var t=e%26,n=(e-t)/26;if(r(0===this.negative,"imaskn works only with positive numbers"),this.length<=n)return this;if(0!==t&&n++,this.length=Math.min(n,this.length),0!==t){var i=67108863^67108863>>>t<=67108864;t++)this.words[t]-=67108864,t===this.length-1?this.words[t+1]=1:this.words[t+1]++;return this.length=Math.max(this.length,t+1),this},o.prototype.isubn=function(e){if(r("number"==typeof e),r(e<67108864),e<0)return this.iaddn(-e);if(0!==this.negative)return this.negative=0,this.iaddn(e),this.negative=1,this;if(this.words[0]-=e,1===this.length&&this.words[0]<0)this.words[0]=-this.words[0],this.negative=1;else for(var t=0;t>26)-(u/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(e,t){var n=(this.length,e.length),r=this.clone(),i=e,a=0|i.words[i.length-1];0!==(n=26-this._countBits(a))&&(i=i.ushln(n),r.iushln(n),a=0|i.words[i.length-1]);var s,u=r.length-i.length;if("mod"!==t){(s=new o(null)).length=u+1,s.words=new Array(s.length);for(var c=0;c=0;f--){var h=67108864*(0|r.words[i.length+f])+(0|r.words[i.length+f-1]);for(h=Math.min(h/a|0,67108863),r._ishlnsubmul(i,h,f);0!==r.negative;)h--,r.negative=0,r._ishlnsubmul(i,1,f),r.isZero()||(r.negative^=1);s&&(s.words[f]=h)}return s&&s.strip(),r.strip(),"div"!==t&&0!==n&&r.iushrn(n),{div:s||null,mod:r}},o.prototype.divmod=function(e,t,n){return r(!e.isZero()),this.isZero()?{div:new o(0),mod:new o(0)}:0!==this.negative&&0===e.negative?(s=this.neg().divmod(e,t),"mod"!==t&&(i=s.div.neg()),"div"!==t&&(a=s.mod.neg(),n&&0!==a.negative&&a.iadd(e)),{div:i,mod:a}):0===this.negative&&0!==e.negative?(s=this.divmod(e.neg(),t),"mod"!==t&&(i=s.div.neg()),{div:i,mod:s.mod}):0!=(this.negative&e.negative)?(s=this.neg().divmod(e.neg(),t),"div"!==t&&(a=s.mod.neg(),n&&0!==a.negative&&a.isub(e)),{div:s.div,mod:a}):e.length>this.length||this.cmp(e)<0?{div:new o(0),mod:this}:1===e.length?"div"===t?{div:this.divn(e.words[0]),mod:null}:"mod"===t?{div:null,mod:new o(this.modn(e.words[0]))}:{div:this.divn(e.words[0]),mod:new o(this.modn(e.words[0]))}:this._wordDiv(e,t);var i,a,s},o.prototype.div=function(e){return this.divmod(e,"div",!1).div},o.prototype.mod=function(e){return this.divmod(e,"mod",!1).mod},o.prototype.umod=function(e){return this.divmod(e,"mod",!0).mod},o.prototype.divRound=function(e){var t=this.divmod(e);if(t.mod.isZero())return t.div;var n=0!==t.div.negative?t.mod.isub(e):t.mod,r=e.ushrn(1),i=e.andln(1),o=n.cmp(r);return o<0||1===i&&0===o?t.div:0!==t.div.negative?t.div.isubn(1):t.div.iaddn(1)},o.prototype.modn=function(e){r(e<=67108863);for(var t=(1<<26)%e,n=0,i=this.length-1;i>=0;i--)n=(t*n+(0|this.words[i]))%e;return n},o.prototype.idivn=function(e){r(e<=67108863);for(var t=0,n=this.length-1;n>=0;n--){var i=(0|this.words[n])+67108864*t;this.words[n]=i/e|0,t=i%e}return this.strip()},o.prototype.divn=function(e){return this.clone().idivn(e)},o.prototype.egcd=function(e){r(0===e.negative),r(!e.isZero());var t=this,n=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var i=new o(1),a=new o(0),s=new o(0),u=new o(1),c=0;t.isEven()&&n.isEven();)t.iushrn(1),n.iushrn(1),++c;for(var l=n.clone(),f=t.clone();!t.isZero();){for(var h=0,d=1;0==(t.words[0]&d)&&h<26;++h,d<<=1);if(h>0)for(t.iushrn(h);h-- >0;)(i.isOdd()||a.isOdd())&&(i.iadd(l),a.isub(f)),i.iushrn(1),a.iushrn(1);for(var p=0,m=1;0==(n.words[0]&m)&&p<26;++p,m<<=1);if(p>0)for(n.iushrn(p);p-- >0;)(s.isOdd()||u.isOdd())&&(s.iadd(l),u.isub(f)),s.iushrn(1),u.iushrn(1);t.cmp(n)>=0?(t.isub(n),i.isub(s),a.isub(u)):(n.isub(t),s.isub(i),u.isub(a))}return{a:s,b:u,gcd:n.iushln(c)}},o.prototype._invmp=function(e){r(0===e.negative),r(!e.isZero());var t=this,n=e.clone();t=0!==t.negative?t.umod(e):t.clone();for(var i,a=new o(1),s=new o(0),u=n.clone();t.cmpn(1)>0&&n.cmpn(1)>0;){for(var c=0,l=1;0==(t.words[0]&l)&&c<26;++c,l<<=1);if(c>0)for(t.iushrn(c);c-- >0;)a.isOdd()&&a.iadd(u),a.iushrn(1);for(var f=0,h=1;0==(n.words[0]&h)&&f<26;++f,h<<=1);if(f>0)for(n.iushrn(f);f-- >0;)s.isOdd()&&s.iadd(u),s.iushrn(1);t.cmp(n)>=0?(t.isub(n),a.isub(s)):(n.isub(t),s.isub(a))}return(i=0===t.cmpn(1)?a:s).cmpn(0)<0&&i.iadd(e),i},o.prototype.gcd=function(e){if(this.isZero())return e.abs();if(e.isZero())return this.abs();var t=this.clone(),n=e.clone();t.negative=0,n.negative=0;for(var r=0;t.isEven()&&n.isEven();r++)t.iushrn(1),n.iushrn(1);for(;;){for(;t.isEven();)t.iushrn(1);for(;n.isEven();)n.iushrn(1);var i=t.cmp(n);if(i<0){var o=t;t=n,n=o}else if(0===i||0===n.cmpn(1))break;t.isub(n)}return n.iushln(r)},o.prototype.invm=function(e){return this.egcd(e).a.umod(e)},o.prototype.isEven=function(){return 0==(1&this.words[0])},o.prototype.isOdd=function(){return 1==(1&this.words[0])},o.prototype.andln=function(e){return this.words[0]&e},o.prototype.bincn=function(e){r("number"==typeof e);var t=e%26,n=(e-t)/26,i=1<>>26,s&=67108863,this.words[a]=s}return 0!==o&&(this.words[a]=o,this.length++),this},o.prototype.isZero=function(){return 1===this.length&&0===this.words[0]},o.prototype.cmpn=function(e){var t,n=e<0;if(0!==this.negative&&!n)return-1;if(0===this.negative&&n)return 1;if(this.strip(),this.length>1)t=1;else{n&&(e=-e),r(e<=67108863,"Number is too big");var i=0|this.words[0];t=i===e?0:ie.length)return 1;if(this.length=0;n--){var 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