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t;for(var r,o,n=p[1];t.isEven()&&e.isEven();)r=R(D(t),D(e)),t=t.divide(r),e=e.divide(r),n=n.multiply(r);for(;t.isEven();)t=t.divide(D(t));do{for(;e.isEven();)e=e.divide(D(e));t.greater(e)&&(o=e,e=t,t=o),e=e.subtract(t)}while(!e.isZero());return n.isUnit()?t:t.multiply(n)}a.prototype.bitLength=function(){var t=this;return t.compareTo(bigInt(0))<0&&(t=t.negate().subtract(bigInt(1))),0===t.compareTo(bigInt(0))?bigInt(0):bigInt(function t(e,r){if(r.compareTo(e)<=0){var o=t(e,r.square(r)),n=o.p,i=o.e,u=n.multiply(r);return u.compareTo(e)<=0?{p:u,e:2*i+1}:{p:n,e:2*i}}return{p:bigInt(1),e:0}}(t,bigInt(2)).e).add(bigInt(1))},l.prototype.bitLength=s.prototype.bitLength=a.prototype.bitLength;var _=function(t,e,r,o){r=r||i,t=String(t),o||(t=t.toLowerCase(),r=r.toLowerCase());var n,u=t.length,p=Math.abs(e),a={};for(n=0;n<r.length;n++)a[r[n]]=n;for(n=0;n<u;n++){if("-"!==(f=t[n])&&(f in a&&a[f]>=p)){if("1"===f&&1===p)continue;throw new Error(f+" is not a valid digit in base "+e+".")}}e=K(e);var s=[],l="-"===t[0];for(n=l?1:0;n<t.length;n++){var f;if((f=t[n])in a)s.push(K(a[f]));else{if("<"!==f)throw new Error(f+" is not a valid character");var v=n;do{n++}while(">"!==t[n]&&n<t.length);s.push(K(t.slice(v+1,n)))}}return $(s,e,l)};function $(t,e,r){var o,n=p[0],i=p[1];for(o=t.length-1;o>=0;o--)n=n.add(t[o].times(i)),i=i.times(e);return r?n.negate():n}function F(t,e){if((e=bigInt(e)).isZero()){if(t.isZero())return{value:[0],isNegative:!1};throw new Error("Cannot convert nonzero numbers to base 0.")}if(e.equals(-1)){if(t.isZero())return{value:[0],isNegative:!1};if(t.isNegative())return{value:[].concat.apply([],Array.apply(null,Array(-t.toJSNumber())).map(Array.prototype.valueOf,[1,0])),isNegative:!1};var r=Array.apply(null,Array(t.toJSNumber()-1)).map(Array.prototype.valueOf,[0,1]);return r.unshift([1]),{value:[].concat.apply([],r),isNegative:!1}}var o=!1;if(t.isNegative()&&e.isPositive()&&(o=!0,t=t.abs()),e.isUnit())return 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p=n[0],v=p.indexOf(".");if(v>=0&&(i-=p.length-v-1,p=p.slice(0,v)+p.slice(v+1)),i<0)throw new Error("Cannot include negative exponent part for integers");t=p+=new Array(i+1).join("0")}if(!/^([0-9][0-9]*)$/.test(t))throw new Error("Invalid integer: "+t);if(u)return new l(BigInt(o?"-"+t:t));for(var h=[],g=t.length,m=r,d=g-m;g>0;)h.push(+t.slice(d,g)),(d-=m)<0&&(d=0),g-=m;return y(h),new a(h,o)}function K(t){return"number"==typeof t?function(t){if(u)return new l(BigInt(t));if(f(t)){if(t!==c(t))throw new Error(t+" is not an integer.");return new s(t)}return H(t.toString())}(t):"string"==typeof t?H(t):"bigint"==typeof t?new l(t):t}a.prototype.toArray=function(t){return F(this,t)},s.prototype.toArray=function(t){return F(this,t)},l.prototype.toArray=function(t){return F(this,t)},a.prototype.toString=function(t,e){if(void 0===t&&(t=10),10!==t)return G(this,t,e);for(var r,o=this.value,n=o.length,i=String(o[--n]);--n>=0;)r=String(o[n]),i+="0000000".slice(r.length)+r;return(this.sign?"-":"")+i},s.prototype.toString=function(t,e){return void 0===t&&(t=10),10!=t?G(this,t,e):String(this.value)},l.prototype.toString=s.prototype.toString,l.prototype.toJSON=a.prototype.toJSON=s.prototype.toJSON=function(){return this.toString()},a.prototype.valueOf=function(){return parseInt(this.toString(),10)},a.prototype.toJSNumber=a.prototype.valueOf,s.prototype.valueOf=function(){return this.value},s.prototype.toJSNumber=s.prototype.valueOf,l.prototype.valueOf=l.prototype.toJSNumber=function(){return parseInt(this.toString(),10)};for(var Q=0;Q<1e3;Q++)p[Q]=K(Q),Q>0&&(p[-Q]=K(-Q));return p.one=p[1],p.zero=p[0],p.minusOne=p[-1],p.max=z,p.min=R,p.gcd=k,p.lcm=function(t,e){return t=K(t).abs(),e=K(e).abs(),t.divide(k(t,e)).multiply(e)},p.isInstance=function(t){return t instanceof a||t instanceof s||t instanceof l},p.randBetween=function(t,r,o){t=K(t),r=K(r);var 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