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n=Y[1],r,i;while(e.isEven()&&t.isEven())r=Math.min(q(e),q(t)),e=e.divide(r),t=t.divide(r),n=n.multiply(r);while(e.isEven())e=e.divide(q(e));do{while(t.isEven())t=t.divide(q(t));e.greater(t)&&(i=t,t=e,e=i),t=t.subtract(e)}while(!t.isZero());return n.isUnit()?e:e.multiply(n)}function W(e,t){return e=G(e).abs(),t=G(t).abs(),e.divide(z(e,t)).multiply(t)}function X(e,n){e=G(e),n=G(n);var r=U(e,n),i=R(e,n),s=i.subtract(r);if(s.isSmall)return r.add(Math.round(Math.random()*s));var a=s.value.length-1,f=[],c=!0;for(var h=a;h>=0;h--){var d=c?s.value[h]:t,v=p(Math.random()*d);f.unshift(v),v<d&&(c=!1)}return f=l(f),r.add(typeof f=="number"?new u(f):new o(f,!1))}function $(e){var t=e.value;return typeof t=="number"&&(t=[t]),t.length===1&&t[0]<=35?"0123456789abcdefghijklmnopqrstuvwxyz".charAt(t[0]):"<"+t+">"}function J(e,t){t=bigInt(t);if(t.isZero()){if(e.isZero())return"0";throw new Error("Cannot convert nonzero numbers to base 0.")}if(t.equals(-1))return e.isZero()?"0":e.isNegative()?(new Array(1-e)).join("10"):"1"+(new Array(+e)).join("01");var n="";e.isNegative()&&t.isPositive()&&(n="-",e=e.abs());if(t.equals(1))return e.isZero()?"0":n+(new Array(+e+1)).join(1);var r=[],i=e,s;while(i.isNegative()||i.compareAbs(t)>=0){s=i.divmod(t),i=s.quotient;var o=s.remainder;o.isNegative()&&(o=t.minus(o).abs(),i=i.next()),r.push($(o))}return r.push($(i)),n+r.reverse().join("")}function K(e){if(a(+e)){var t=+e;if(t===p(t))return new u(t);throw"Invalid integer: "+e}var r=e[0]==="-";r&&(e=e.slice(1));var i=e.split(/e/i);if(i.length>2)throw new Error("Invalid integer: "+f.join("e"));if(i.length===2){var s=i[1];s[0]==="+"&&(s=s.slice(1)),s=+s;if(s!==p(s)||!a(s))throw new Error("Invalid integer: "+s+" is not a valid exponent.");var f=i[0],l=f.indexOf(".");l>=0&&(s-=f.length-l-1,f=f.slice(0,l)+f.slice(l+1));if(s<0)throw new Error("Cannot include negative exponent part for integers");f+=(new Array(s+1)).join("0"),e=f}var h=/^([0-9][0-9]*)$/.test(e);if(!h)throw new Error("Invalid integer: 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t.isSmall?b(n,Math.abs(r),this.sign):y(n,r,this.sign)},o.prototype.minus=o.prototype.subtract,u.prototype.subtract=function(e){var t=G(e),n=this.value;if(n<0!==t.sign)return this.add(t.negate());var r=t.value;return t.isSmall?new u(n-r):b(r,Math.abs(n),n>=0)},u.prototype.minus=u.prototype.subtract,o.prototype.negate=function(){return new o(this.value,!this.sign)},u.prototype.negate=function(){var e=this.sign,t=new u(-this.value);return t.sign=!e,t},o.prototype.abs=function(){return new o(this.value,!1)},u.prototype.abs=function(){return new u(Math.abs(this.value))},o.prototype.multiply=function(e){var n,r=G(e),i=this.value,s=r.value,u=this.sign!==r.sign,a;if(r.isSmall){if(s===0)return Y[0];if(s===1)return this;if(s===-1)return this.negate();a=Math.abs(s);if(a<t)return new o(E(i,a),u);s=f(a)}return T(i.length,s.length)?new o(x(i,s),u):new o(w(i,s),u)},o.prototype.times=o.prototype.multiply,u.prototype._multiplyBySmall=function(e){return a(e.value*this.value)?new u(e.value*this.value):N(Math.abs(e.value),f(Math.abs(this.value)),this.sign!==e.sign)},o.prototype._multiplyBySmall=function(e){return e.value===0?Y[0]:e.value===1?this:e.value===-1?this.negate():N(Math.abs(e.value),this.value,this.sign!==e.sign)},u.prototype.multiply=function(e){return G(e)._multiplyBySmall(this)},u.prototype.times=u.prototype.multiply,o.prototype.square=function(){return new o(C(this.value),!1)},u.prototype.square=function(){var e=this.value*this.value;return a(e)?new u(e):new o(C(f(Math.abs(this.value))),!1)},o.prototype.divmod=function(e){var t=O(this,e);return{quotient:t[0],remainder:t[1]}},u.prototype.divmod=o.prototype.divmod,o.prototype.divide=function(e){return O(this,e)[0]},u.prototype.over=u.prototype.divide=o.prototype.over=o.prototype.divide,o.prototype.mod=function(e){return O(this,e)[1]},u.prototype.remainder=u.prototype.mod=o.prototype.remainder=o.prototype.mod,o.prototype.pow=function(e){var t=G(e),n=this.value,r=t.value,i,s,o;if(r===0)return Y[1];if(n===0)return Y[0];if(n===1)return Y[1];if(n===-1)return t.isEven()?Y[1]:Y[-1];if(t.sign)return Y[0];if(!t.isSmall)throw new Error("The exponent "+t.toString()+" is too large.");if(this.isSmall&&a(i=Math.pow(n,r)))return new u(p(i));s=this,o=Y[1];for(;;){r&!0&&(o=o.times(s),--r);if(r===0)break;r/=2,s=s.square()}return o},u.prototype.pow=o.prototype.pow,o.prototype.modPow=function(e,t){e=G(e),t=G(t);if(t.isZero())throw new Error("Cannot take modPow with modulus 0");var n=Y[1],r=this.mod(t);while(e.isPositive()){if(r.isZero())return Y[0];e.isOdd()&&(n=n.multiply(r).mod(t)),e=e.divide(2),r=r.square().mod(t)}return n},u.prototype.modPow=o.prototype.modPow,o.prototype.compareAbs=function(e){var t=G(e),n=this.value,r=t.value;return t.isSmall?1:M(n,r)},u.prototype.compareAbs=function(e){var t=G(e),n=Math.abs(this.value),r=t.value;return t.isSmall?(r=Math.abs(r),n===r?0:n>r?1:-1):-1},o.prototype.compare=function(e){if(e===Infinity)return-1;if(e===-Infinity)return 1;var t=G(e),n=this.value,r=t.value;return this.sign!==t.sign?t.sign?1:-1:t.isSmall?this.sign?-1:1:M(n,r)*(this.sign?-1:1)},o.prototype.compareTo=o.prototype.compare,u.prototype.compare=function(e){if(e===Infinity)return-1;if(e===-Infinity)return 1;var t=G(e),n=this.value,r=t.value;return t.isSmall?n==r?0:n>r?1:-1:n<0!==t.sign?n<0?-1:1:n<0?1:-1},u.prototype.compareTo=u.prototype.compare,o.prototype.equals=function(e){return this.compare(e)===0},u.prototype.eq=u.prototype.equals=o.prototype.eq=o.prototype.equals,o.prototype.notEquals=function(e){return this.compare(e)!==0},u.prototype.neq=u.prototype.notEquals=o.prototype.neq=o.prototype.notEquals,o.prototype.greater=function(e){return this.compare(e)>0},u.prototype.gt=u.prototype.greater=o.prototype.gt=o.prototype.greater,o.prototype.lesser=function(e){return this.compare(e)<0},u.prototype.lt=u.prototype.lesser=o.prototype.lt=o.prototype.lesser,o.prototype.greaterOrEquals=function(e){return this.compare(e)>=0},u.prototype.geq=u.prototype.greaterOrEquals=o.prototype.geq=o.prototype.greaterOrEquals,o.prototype.lesserOrEquals=function(e){return this.compare(e)<=0},u.prototype.leq=u.prototype.lesserOrEquals=o.prototype.leq=o.prototype.lesserOrEquals,o.prototype.isEven=function(){return(this.value[0]&1)===0},u.prototype.isEven=function(){return(this.value&1)===0},o.prototype.isOdd=function(){return(this.value[0]&1)===1},u.prototype.isOdd=function(){return(this.value&1)===1},o.prototype.isPositive=function(){return!this.sign},u.prototype.isPositive=function(){return this.value>0},o.prototype.isNegative=function(){return this.sign},u.prototype.isNegative=function(){return this.value<0},o.prototype.isUnit=function(){return!1},u.prototype.isUnit=function(){return Math.abs(this.value)===1},o.prototype.isZero=function(){return!1},u.prototype.isZero=function(){return this.value===0},o.prototype.isDivisibleBy=function(e){var t=G(e),n=t.value;return n===0?!1:n===1?!0:n===2?this.isEven():this.mod(t).equals(Y[0])},u.prototype.isDivisibleBy=o.prototype.isDivisibleBy,o.prototype.isPrime=function(){var t=_(this);if(t!==e)return t;var n=this.abs(),r=n.prev(),i=[2,3,5,7,11,13,17,19],s=r,o,u,a,f;while(s.isEven())s=s.divide(2);for(a=0;a<i.length;a++){f=bigInt(i[a]).modPow(s,n);if(f.equals(Y[1])||f.equals(r))continue;for(u=!0,o=s;u&&o.lesser(r);o=o.multiply(2))f=f.square().mod(n),f.equals(r)&&(u=!1);if(u)return!1}return!0},u.prototype.isPrime=o.prototype.isPrime,o.prototype.isProbablePrime=function(t){var n=_(this);if(n!==e)return n;var r=this.abs(),i=t===e?5:t;for(var s=0;s<i;s++){var o=bigInt.randBetween(2,r.minus(2));if(!o.modPow(r.prev(),r).isUnit())return!1}return!0},u.prototype.isProbablePrime=o.prototype.isProbablePrime,o.prototype.next=function(){var e=this.value;return this.sign?b(e,1,this.sign):new o(m(e,1),this.sign)},u.prototype.next=function(){var e=this.value;return e+1<r?new u(e+1):new o(i,!1)},o.prototype.prev=function(){var e=this.value;return this.sign?new o(m(e,1),!0):b(e,1,this.sign)},u.prototype.prev=function(){var e=this.value;return e-1>-r?new u(e-1):new o(i,!0)};var D=[1];while(D[D.length-1]<=t)D.push(2*D[D.length-1]);var P=D.length,H=D[P-1];o.prototype.shiftLeft=function(e){if(!B(e))throw new Error(String(e)+" is too large for shifting.");e=+e;if(e<0)return this.shiftRight(-e);var t=this;while(e>=P)t=t.multiply(H),e-=P-1;return t.multiply(D[e])},u.prototype.shiftLeft=o.prototype.shiftLeft,o.prototype.shiftRight=function(e){var t;if(!B(e))throw new Error(String(e)+" is too large for shifting.");e=+e;if(e<0)return this.shiftLeft(-e);var n=this;while(e>=P){if(n.isZero())return n;t=O(n,H),n=t[1].isNegative()?t[0].prev():t[0],e-=P-1}return t=O(n,D[e]),t[1].isNegative()?t[0].prev():t[0]},u.prototype.shiftRight=o.prototype.shiftRight,o.prototype.not=function(){return this.negate().prev()},u.prototype.not=o.prototype.not,o.prototype.and=function(e){return j(this,e,function(e,t){return e&t})},u.prototype.and=o.prototype.and,o.prototype.or=function(e){return j(this,e,function(e,t){return e|t})},u.prototype.or=o.prototype.or,o.prototype.xor=function(e){return j(this,e,function(e,t){return e^t})},u.prototype.xor=o.prototype.xor;var F=1<<30,I=(t&-t)*(t&-t)|F,V=function(e,t){var n=Y[0],r=Y[1],i=e.length;if(2<=t&&t<=36&&i<=s/Math.log(t))return new u(parseInt(e,t));t=G(t);var o=[],a,f=e[0]==="-";for(a=f?1:0;a<e.length;a++){var l=e[a].toLowerCase(),c=l.charCodeAt(0);if(48<=c&&c<=57)o.push(G(l));else if(97<=c&&c<=122)o.push(G(l.charCodeAt(0)-87));else{if(l!=="<")throw new Error(l+" is not a valid character");var h=a;do a++;while(e[a]!==">");o.push(G(e.slice(h+1,a)))}}o.reverse();for(a=0;a<o.length;a++)n=n.add(o[a].times(r)),r=r.times(t);return f?n.negate():n};o.prototype.toString=function(t){t===e&&(t=10);if(t!==10)return J(this,t);var n=this.value,r=n.length,i=String(n[--r]),s="0000000",o;while(--r>=0)o=String(n[r]),i+=s.slice(o.length)+o;var u=this.sign?"-":"";return u+i},u.prototype.toString=function(t){return t===e&&(t=10),t!=10?J(this,t):String(this.value)},o.prototype.valueOf=function(){return+this.toString()},o.prototype.toJSNumber=o.prototype.valueOf,u.prototype.valueOf=function(){return this.value},u.prototype.toJSNumber=u.prototype.valueOf;var Y=function(e,t){return typeof e=="undefined"?Y[0]:typeof t!="undefined"?+t===10?G(e):V(e,t):G(e)};for(var Z=0;Z<1e3;Z++)Y[Z]=new u(Z),Z>0&&(Y[-Z]=new u(-Z));return Y.one=Y[1],Y.zero=Y[0],Y.minusOne=Y[-1],Y.max=R,Y.min=U,Y.gcd=z,Y.lcm=W,Y.isInstance=function(e){return e instanceof o||e instanceof u},Y.randBetween=X,Y}();typeof module!="undefined"&&module.hasOwnProperty("exports")&&(module.exports=bigInt);