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xe=(f+(r=r+Math.imul(l,le)|0)|0)+((8191&(i=(i=i+Math.imul(l,de)|0)+Math.imul(d,le)|0))<<13)|0;f=((o=o+Math.imul(d,de)|0)+(i>>>13)|0)+(xe>>>26)|0,xe&=67108863,r=Math.imul(U,F),i=(i=Math.imul(U,q))+Math.imul(L,F)|0,o=Math.imul(L,q),r=r+Math.imul(B,K)|0,i=(i=i+Math.imul(B,H)|0)+Math.imul(N,K)|0,o=o+Math.imul(N,H)|0,r=r+Math.imul(I,$)|0,i=(i=i+Math.imul(I,Y)|0)+Math.imul(j,$)|0,o=o+Math.imul(j,Y)|0,r=r+Math.imul(A,G)|0,i=(i=i+Math.imul(A,J)|0)+Math.imul(O,G)|0,o=o+Math.imul(O,J)|0,r=r+Math.imul(T,Q)|0,i=(i=i+Math.imul(T,ee)|0)+Math.imul(M,Q)|0,o=o+Math.imul(M,ee)|0,r=r+Math.imul(S,ne)|0,i=(i=i+Math.imul(S,re)|0)+Math.imul(x,ne)|0,o=o+Math.imul(x,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,se)|0,i=(i=i+Math.imul(y,fe)|0)+Math.imul(m,se)|0,o=o+Math.imul(m,fe)|0,r=r+Math.imul(p,le)|0,i=(i=i+Math.imul(p,de)|0)+Math.imul(b,le)|0,o=o+Math.imul(b,de)|0;var ke=(f+(r=r+Math.imul(l,pe)|0)|0)+((8191&(i=(i=i+Math.imul(l,be)|0)+Math.imul(d,pe)|0))<<13)|0;f=((o=o+Math.imul(d,be)|0)+(i>>>13)|0)+(ke>>>26)|0,ke&=67108863,r=Math.imul(U,K),i=(i=Math.imul(U,H))+Math.imul(L,K)|0,o=Math.imul(L,H),r=r+Math.imul(B,$)|0,i=(i=i+Math.imul(B,Y)|0)+Math.imul(N,$)|0,o=o+Math.imul(N,Y)|0,r=r+Math.imul(I,G)|0,i=(i=i+Math.imul(I,J)|0)+Math.imul(j,G)|0,o=o+Math.imul(j,J)|0,r=r+Math.imul(A,Q)|0,i=(i=i+Math.imul(A,ee)|0)+Math.imul(O,Q)|0,o=o+Math.imul(O,ee)|0,r=r+Math.imul(T,ne)|0,i=(i=i+Math.imul(T,re)|0)+Math.imul(M,ne)|0,o=o+Math.imul(M,re)|0,r=r+Math.imul(S,oe)|0,i=(i=i+Math.imul(S,ae)|0)+Math.imul(x,oe)|0,o=o+Math.imul(x,ae)|0,r=r+Math.imul(_,se)|0,i=(i=i+Math.imul(_,fe)|0)+Math.imul(w,se)|0,o=o+Math.imul(w,fe)|0,r=r+Math.imul(y,le)|0,i=(i=i+Math.imul(y,de)|0)+Math.imul(m,le)|0,o=o+Math.imul(m,de)|0;var Te=(f+(r=r+Math.imul(p,pe)|0)|0)+((8191&(i=(i=i+Math.imul(p,be)|0)+Math.imul(b,pe)|0))<<13)|0;f=((o=o+Math.imul(b,be)|0)+(i>>>13)|0)+(Te>>>26)|0,Te&=67108863,r=Math.imul(U,$),i=(i=Math.imul(U,Y))+Math.imul(L,$)|0,o=Math.imul(L,Y),r=r+Math.imul(B,G)|0,i=(i=i+Math.imul(B,J)|0)+Math.imul(N,G)|0,o=o+Math.imul(N,J)|0,r=r+Math.imul(I,Q)|0,i=(i=i+Math.imul(I,ee)|0)+Math.imul(j,Q)|0,o=o+Math.imul(j,ee)|0,r=r+Math.imul(A,ne)|0,i=(i=i+Math.imul(A,re)|0)+Math.imul(O,ne)|0,o=o+Math.imul(O,re)|0,r=r+Math.imul(T,oe)|0,i=(i=i+Math.imul(T,ae)|0)+Math.imul(M,oe)|0,o=o+Math.imul(M,ae)|0,r=r+Math.imul(S,se)|0,i=(i=i+Math.imul(S,fe)|0)+Math.imul(x,se)|0,o=o+Math.imul(x,fe)|0,r=r+Math.imul(_,le)|0,i=(i=i+Math.imul(_,de)|0)+Math.imul(w,le)|0,o=o+Math.imul(w,de)|0;var Me=(f+(r=r+Math.imul(y,pe)|0)|0)+((8191&(i=(i=i+Math.imul(y,be)|0)+Math.imul(m,pe)|0))<<13)|0;f=((o=o+Math.imul(m,be)|0)+(i>>>13)|0)+(Me>>>26)|0,Me&=67108863,r=Math.imul(U,G),i=(i=Math.imul(U,J))+Math.imul(L,G)|0,o=Math.imul(L,J),r=r+Math.imul(B,Q)|0,i=(i=i+Math.imul(B,ee)|0)+Math.imul(N,Q)|0,o=o+Math.imul(N,ee)|0,r=r+Math.imul(I,ne)|0,i=(i=i+Math.imul(I,re)|0)+Math.imul(j,ne)|0,o=o+Math.imul(j,re)|0,r=r+Math.imul(A,oe)|0,i=(i=i+Math.imul(A,ae)|0)+Math.imul(O,oe)|0,o=o+Math.imul(O,ae)|0,r=r+Math.imul(T,se)|0,i=(i=i+Math.imul(T,fe)|0)+Math.imul(M,se)|0,o=o+Math.imul(M,fe)|0,r=r+Math.imul(S,le)|0,i=(i=i+Math.imul(S,de)|0)+Math.imul(x,le)|0,o=o+Math.imul(x,de)|0;var Ce=(f+(r=r+Math.imul(_,pe)|0)|0)+((8191&(i=(i=i+Math.imul(_,be)|0)+Math.imul(w,pe)|0))<<13)|0;f=((o=o+Math.imul(w,be)|0)+(i>>>13)|0)+(Ce>>>26)|0,Ce&=67108863,r=Math.imul(U,Q),i=(i=Math.imul(U,ee))+Math.imul(L,Q)|0,o=Math.imul(L,ee),r=r+Math.imul(B,ne)|0,i=(i=i+Math.imul(B,re)|0)+Math.imul(N,ne)|0,o=o+Math.imul(N,re)|0,r=r+Math.imul(I,oe)|0,i=(i=i+Math.imul(I,ae)|0)+Math.imul(j,oe)|0,o=o+Math.imul(j,ae)|0,r=r+Math.imul(A,se)|0,i=(i=i+Math.imul(A,fe)|0)+Math.imul(O,se)|0,o=o+Math.imul(O,fe)|0,r=r+Math.imul(T,le)|0,i=(i=i+Math.imul(T,de)|0)+Math.imul(M,le)|0,o=o+Math.imul(M,de)|0;var Ae=(f+(r=r+Math.imul(S,pe)|0)|0)+((8191&(i=(i=i+Math.imul(S,be)|0)+Math.imul(x,pe)|0))<<13)|0;f=((o=o+Math.imul(x,be)|0)+(i>>>13)|0)+(Ae>>>26)|0,Ae&=67108863,r=Math.imul(U,ne),i=(i=Math.imul(U,re))+Math.imul(L,ne)|0,o=Math.imul(L,re),r=r+Math.imul(B,oe)|0,i=(i=i+Math.imul(B,ae)|0)+Math.imul(N,oe)|0,o=o+Math.imul(N,ae)|0,r=r+Math.imul(I,se)|0,i=(i=i+Math.imul(I,fe)|0)+Math.imul(j,se)|0,o=o+Math.imul(j,fe)|0,r=r+Math.imul(A,le)|0,i=(i=i+Math.imul(A,de)|0)+Math.imul(O,le)|0,o=o+Math.imul(O,de)|0;var Oe=(f+(r=r+Math.imul(T,pe)|0)|0)+((8191&(i=(i=i+Math.imul(T,be)|0)+Math.imul(M,pe)|0))<<13)|0;f=((o=o+Math.imul(M,be)|0)+(i>>>13)|0)+(Oe>>>26)|0,Oe&=67108863,r=Math.imul(U,oe),i=(i=Math.imul(U,ae))+Math.imul(L,oe)|0,o=Math.imul(L,ae),r=r+Math.imul(B,se)|0,i=(i=i+Math.imul(B,fe)|0)+Math.imul(N,se)|0,o=o+Math.imul(N,fe)|0,r=r+Math.imul(I,le)|0,i=(i=i+Math.imul(I,de)|0)+Math.imul(j,le)|0,o=o+Math.imul(j,de)|0;var Pe=(f+(r=r+Math.imul(A,pe)|0)|0)+((8191&(i=(i=i+Math.imul(A,be)|0)+Math.imul(O,pe)|0))<<13)|0;f=((o=o+Math.imul(O,be)|0)+(i>>>13)|0)+(Pe>>>26)|0,Pe&=67108863,r=Math.imul(U,se),i=(i=Math.imul(U,fe))+Math.imul(L,se)|0,o=Math.imul(L,fe),r=r+Math.imul(B,le)|0,i=(i=i+Math.imul(B,de)|0)+Math.imul(N,le)|0,o=o+Math.imul(N,de)|0;var Ie=(f+(r=r+Math.imul(I,pe)|0)|0)+((8191&(i=(i=i+Math.imul(I,be)|0)+Math.imul(j,pe)|0))<<13)|0;f=((o=o+Math.imul(j,be)|0)+(i>>>13)|0)+(Ie>>>26)|0,Ie&=67108863,r=Math.imul(U,le),i=(i=Math.imul(U,de))+Math.imul(L,le)|0,o=Math.imul(L,de);var je=(f+(r=r+Math.imul(B,pe)|0)|0)+((8191&(i=(i=i+Math.imul(B,be)|0)+Math.imul(N,pe)|0))<<13)|0;f=((o=o+Math.imul(N,be)|0)+(i>>>13)|0)+(je>>>26)|0,je&=67108863;var Re=(f+(r=Math.imul(U,pe))|0)+((8191&(i=(i=Math.imul(U,be))+Math.imul(L,pe)|0))<<13)|0;return f=((o=Math.imul(L,be))+(i>>>13)|0)+(Re>>>26)|0,Re&=67108863,s[0]=ve,s[1]=ye,s[2]=me,s[3]=ge,s[4]=_e,s[5]=we,s[6]=Ee,s[7]=Se,s[8]=xe,s[9]=ke,s[10]=Te,s[11]=Me,s[12]=Ce,s[13]=Ae,s[14]=Oe,s[15]=Pe,s[16]=Ie,s[17]=je,s[18]=Re,0!==f&&(s[19]=f,n.length++),n};function p(e,t,n){return(new b).mulp(e,t,n)}function b(e,t){this.x=e,this.y=t}Math.imul||(h=d),o.prototype.mulTo=function(e,t){var n=this.length+e.length;return 10===this.length&&10===e.length?h(this,e,t):n<63?d(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]=u,r=a,a=i}return 0!==r?n.words[o]=r:n.length--,n.strip()}(this,e,t):p(this,e,t)},b.prototype.makeRBT=function(e){for(var t=new Array(e),n=o.prototype._countBits(e)-1,r=0;r>=1;return r},b.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),u=67108863^67108863>>>o<a)for(this.length-=a,f=0;f=0&&(0!==c||f>=i);f--){var l=0|this.words[f];this.words[f]=c<<26-o|l>>>o,c=l&u}return s&&0!==c&&(s.words[s.length++]=c),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)-(s/67108864|0),this.words[i+n]=67108863&o}for(;i>26,this.words[i+n]=67108863&o;if(0===u)return this.strip();for(r(-1===u),u=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 u,s=r.length-i.length;if("mod"!==t){(u=new o(null)).length=s+1,u.words=new Array(u.length);for(var f=0;f=0;l--){var d=67108864*(0|r.words[i.length+l])+(0|r.words[i.length+l-1]);for(d=Math.min(d/a|0,67108863),r._ishlnsubmul(i,d,l);0!==r.negative;)d--,r.negative=0,r._ishlnsubmul(i,1,l),r.isZero()||(r.negative^=1);u&&(u.words[l]=d)}return u&&u.strip(),r.strip(),"div"!==t&&0!==n&&r.iushrn(n),{div:u||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?(u=this.neg().divmod(e,t),"mod"!==t&&(i=u.div.neg()),"div"!==t&&(a=u.mod.neg(),n&&0!==a.negative&&a.iadd(e)),{div:i,mod:a}):0===this.negative&&0!==e.negative?(u=this.divmod(e.neg(),t),"mod"!==t&&(i=u.div.neg()),{div:i,mod:u.mod}):0!==(this.negative&e.negative)?(u=this.neg().divmod(e.neg(),t),"div"!==t&&(a=u.mod.neg(),n&&0!==a.negative&&a.isub(e)),{div:u.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,u},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),u=new o(0),s=new o(1),f=0;t.isEven()&&n.isEven();)t.iushrn(1),n.iushrn(1),++f;for(var c=n.clone(),l=t.clone();!t.isZero();){for(var d=0,h=1;0===(t.words[0]&h)&&d<26;++d,h<<=1);if(d>0)for(t.iushrn(d);d-- >0;)(i.isOdd()||a.isOdd())&&(i.iadd(c),a.isub(l)),i.iushrn(1),a.iushrn(1);for(var p=0,b=1;0===(n.words[0]&b)&&p<26;++p,b<<=1);if(p>0)for(n.iushrn(p);p-- >0;)(u.isOdd()||s.isOdd())&&(u.iadd(c),s.isub(l)),u.iushrn(1),s.iushrn(1);t.cmp(n)>=0?(t.isub(n),i.isub(u),a.isub(s)):(n.isub(t),u.isub(i),s.isub(a))}return{a:u,b:s,gcd:n.iushln(f)}},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),u=new o(0),s=n.clone();t.cmpn(1)>0&&n.cmpn(1)>0;){for(var f=0,c=1;0===(t.words[0]&c)&&f<26;++f,c<<=1);if(f>0)for(t.iushrn(f);f-- >0;)a.isOdd()&&a.iadd(s),a.iushrn(1);for(var l=0,d=1;0===(n.words[0]&d)&&l<26;++l,d<<=1);if(l>0)for(n.iushrn(l);l-- >0;)u.isOdd()&&u.iadd(s),u.iushrn(1);t.cmp(n)>=0?(t.isub(n),a.isub(u)):(n.isub(t),u.isub(a))}return(i=0===t.cmpn(1)?a:u).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,u&=67108863,this.words[a]=u}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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