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Comparing version 1.6.51 to 1.6.52

4

BigInteger.js

@@ -1322,3 +1322,3 @@ var bigInt = (function (undefined) {

if (radix === undefined) radix = 10;
if (radix !== 10) return toBaseString(this, radix, alphabet);
if (radix !== 10 || alphabet) return toBaseString(this, radix, alphabet);
var v = this.value, l = v.length, str = String(v[--l]), zeros = "0000000", digit;

@@ -1335,3 +1335,3 @@ while (--l >= 0) {

if (radix === undefined) radix = 10;
if (radix != 10) return toBaseString(this, radix, alphabet);
if (radix != 10 || alphabet) return toBaseString(this, radix, alphabet);
return String(this.value);

@@ -1338,0 +1338,0 @@ };

@@ -1,1 +0,1 @@

var bigInt=function(t){"use strict";var e=1e7,r=9007199254740992,o=f(r),n="0123456789abcdefghijklmnopqrstuvwxyz",i="function"==typeof BigInt;function u(t,e,r,o){return void 0===t?u[0]:void 0!==e&&(10!=+e||r)?_(t,e,r,o):K(t)}function p(t,e){this.value=t,this.sign=e,this.isSmall=!1}function a(t){this.value=t,this.sign=t<0,this.isSmall=!0}function s(t){this.value=t}function l(t){return-r<t&&t<r}function f(t){return t<1e7?[t]:t<1e14?[t%1e7,Math.floor(t/1e7)]:[t%1e7,Math.floor(t/1e7)%1e7,Math.floor(t/1e14)]}function v(t){h(t);var r=t.length;if(r<4&&A(t,o)<0)switch(r){case 0:return 0;case 1:return t[0];case 2:return t[0]+t[1]*e;default:return t[0]+(t[1]+t[2]*e)*e}return t}function h(t){for(var e=t.length;0===t[--e];);t.length=e+1}function y(t){for(var e=new Array(t),r=-1;++r<t;)e[r]=0;return e}function g(t){return t>0?Math.floor(t):Math.ceil(t)}function c(t,r){var o,n,i=t.length,u=r.length,p=new Array(i),a=0,s=e;for(n=0;n<u;n++)a=(o=t[n]+r[n]+a)>=s?1:0,p[n]=o-a*s;for(;n<i;)a=(o=t[n]+a)===s?1:0,p[n++]=o-a*s;return a>0&&p.push(a),p}function m(t,e){return t.length>=e.length?c(t,e):c(e,t)}function d(t,r){var o,n,i=t.length,u=new Array(i),p=e;for(n=0;n<i;n++)o=t[n]-p+r,r=Math.floor(o/p),u[n]=o-r*p,r+=1;for(;r>0;)u[n++]=r%p,r=Math.floor(r/p);return u}function b(t,r){var o,n,i=t.length,u=r.length,p=new Array(i),a=0,s=e;for(o=0;o<u;o++)(n=t[o]-a-r[o])<0?(n+=s,a=1):a=0,p[o]=n;for(o=u;o<i;o++){if(!((n=t[o]-a)<0)){p[o++]=n;break}n+=s,p[o]=n}for(;o<i;o++)p[o]=t[o];return h(p),p}function w(t,r,o){var n,i,u=t.length,s=new Array(u),l=-r,f=e;for(n=0;n<u;n++)i=t[n]+l,l=Math.floor(i/f),i%=f,s[n]=i<0?i+f:i;return"number"==typeof(s=v(s))?(o&&(s=-s),new a(s)):new p(s,o)}function S(t,r){var o,n,i,u,p=t.length,a=r.length,s=y(p+a),l=e;for(i=0;i<p;++i){u=t[i];for(var f=0;f<a;++f)o=u*r[f]+s[i+f],n=Math.floor(o/l),s[i+f]=o-n*l,s[i+f+1]+=n}return h(s),s}function I(t,r){var o,n,i=t.length,u=new Array(i),p=e,a=0;for(n=0;n<i;n++)o=t[n]*r+a,a=Math.floor(o/p),u[n]=o-a*p;for(;a>0;)u[n++]=a%p,a=Math.floor(a/p);return u}function q(t,e){for(var r=[];e-- >0;)r.push(0);return r.concat(t)}function M(t,e){var r=Math.max(t.length,e.length);if(r<=30)return S(t,e);r=Math.ceil(r/2);var o=t.slice(r),n=t.slice(0,r),i=e.slice(r),u=e.slice(0,r),p=M(n,u),a=M(o,i),s=M(m(n,o),m(u,i)),l=m(m(p,q(b(b(s,p),a),r)),q(a,2*r));return h(l),l}function N(t,r,o){return new p(t<e?I(r,t):S(r,f(t)),o)}function E(t){var r,o,n,i,u=t.length,p=y(u+u),a=e;for(n=0;n<u;n++){o=0-(i=t[n])*i;for(var s=n;s<u;s++)r=i*t[s]*2+p[n+s]+o,o=Math.floor(r/a),p[n+s]=r-o*a;p[n+u]=o}return h(p),p}function O(t,e){var r,o,n,i,u=t.length,p=y(u);for(n=0,r=u-1;r>=0;--r)n=(i=1e7*n+t[r])-(o=g(i/e))*e,p[r]=0|o;return[p,0|n]}function B(t,r){var o,n=K(r);if(i)return[new s(t.value/n.value),new s(t.value%n.value)];var l,c=t.value,m=n.value;if(0===m)throw new Error("Cannot divide by zero");if(t.isSmall)return n.isSmall?[new a(g(c/m)),new a(c%m)]:[u[0],t];if(n.isSmall){if(1===m)return[t,u[0]];if(-1==m)return[t.negate(),u[0]];var d=Math.abs(m);if(d<e){l=v((o=O(c,d))[0]);var w=o[1];return t.sign&&(w=-w),"number"==typeof l?(t.sign!==n.sign&&(l=-l),[new a(l),new a(w)]):[new p(l,t.sign!==n.sign),new a(w)]}m=f(d)}var S=A(c,m);if(-1===S)return[u[0],t];if(0===S)return[u[t.sign===n.sign?1:-1],u[0]];o=c.length+m.length<=200?function(t,r){var o,n,i,u,p,a,s,l=t.length,f=r.length,h=e,g=y(r.length),c=r[f-1],m=Math.ceil(h/(2*c)),d=I(t,m),b=I(r,m);for(d.length<=l&&d.push(0),b.push(0),c=b[f-1],n=l-f;n>=0;n--){for(o=h-1,d[n+f]!==c&&(o=Math.floor((d[n+f]*h+d[n+f-1])/c)),i=0,u=0,a=b.length,p=0;p<a;p++)i+=o*b[p],s=Math.floor(i/h),u+=d[n+p]-(i-s*h),i=s,u<0?(d[n+p]=u+h,u=-1):(d[n+p]=u,u=0);for(;0!==u;){for(o-=1,i=0,p=0;p<a;p++)(i+=d[n+p]-h+b[p])<0?(d[n+p]=i+h,i=0):(d[n+p]=i,i=1);u+=i}g[n]=o}return d=O(d,m)[0],[v(g),v(d)]}(c,m):function(t,r){for(var o,n,i,u,p,a=t.length,s=r.length,l=[],f=[],y=e;a;)if(f.unshift(t[--a]),h(f),A(f,r)<0)l.push(0);else{i=f[(n=f.length)-1]*y+f[n-2],u=r[s-1]*y+r[s-2],n>s&&(i=(i+1)*y),o=Math.ceil(i/u);do{if(A(p=I(r,o),f)<=0)break;o--}while(o);l.push(o),f=b(f,p)}return l.reverse(),[v(l),v(f)]}(c,m),l=o[0];var q=t.sign!==n.sign,M=o[1],N=t.sign;return"number"==typeof l?(q&&(l=-l),l=new a(l)):l=new p(l,q),"number"==typeof M?(N&&(M=-M),M=new a(M)):M=new p(M,N),[l,M]}function A(t,e){if(t.length!==e.length)return t.length>e.length?1:-1;for(var r=t.length-1;r>=0;r--)if(t[r]!==e[r])return t[r]>e[r]?1:-1;return 0}function P(t){var e=t.abs();return!e.isUnit()&&(!!(e.equals(2)||e.equals(3)||e.equals(5))||!(e.isEven()||e.isDivisibleBy(3)||e.isDivisibleBy(5))&&(!!e.lesser(49)||void 0))}function Z(t,e){for(var r,o,n,i=t.prev(),u=i,p=0;u.isEven();)u=u.divide(2),p++;t:for(o=0;o<e.length;o++)if(!t.lesser(e[o])&&!(n=bigInt(e[o]).modPow(u,t)).isUnit()&&!n.equals(i)){for(r=p-1;0!=r;r--){if((n=n.square().mod(t)).isUnit())return!1;if(n.equals(i))continue t}return!1}return!0}p.prototype=Object.create(u.prototype),a.prototype=Object.create(u.prototype),s.prototype=Object.create(u.prototype),p.prototype.add=function(t){var e=K(t);if(this.sign!==e.sign)return this.subtract(e.negate());var r=this.value,o=e.value;return e.isSmall?new p(d(r,Math.abs(o)),this.sign):new p(m(r,o),this.sign)},p.prototype.plus=p.prototype.add,a.prototype.add=function(t){var e=K(t),r=this.value;if(r<0!==e.sign)return this.subtract(e.negate());var o=e.value;if(e.isSmall){if(l(r+o))return new a(r+o);o=f(Math.abs(o))}return new p(d(o,Math.abs(r)),r<0)},a.prototype.plus=a.prototype.add,s.prototype.add=function(t){return new s(this.value+K(t).value)},s.prototype.plus=s.prototype.add,p.prototype.subtract=function(t){var e=K(t);if(this.sign!==e.sign)return this.add(e.negate());var r=this.value,o=e.value;return e.isSmall?w(r,Math.abs(o),this.sign):function(t,e,r){var o;return A(t,e)>=0?o=b(t,e):(o=b(e,t),r=!r),"number"==typeof(o=v(o))?(r&&(o=-o),new a(o)):new p(o,r)}(r,o,this.sign)},p.prototype.minus=p.prototype.subtract,a.prototype.subtract=function(t){var e=K(t),r=this.value;if(r<0!==e.sign)return this.add(e.negate());var o=e.value;return e.isSmall?new a(r-o):w(o,Math.abs(r),r>=0)},a.prototype.minus=a.prototype.subtract,s.prototype.subtract=function(t){return new s(this.value-K(t).value)},s.prototype.minus=s.prototype.subtract,p.prototype.negate=function(){return new p(this.value,!this.sign)},a.prototype.negate=function(){var t=this.sign,e=new a(-this.value);return e.sign=!t,e},s.prototype.negate=function(){return new s(-this.value)},p.prototype.abs=function(){return new p(this.value,!1)},a.prototype.abs=function(){return new a(Math.abs(this.value))},s.prototype.abs=function(){return new s(this.value>=0?this.value:-this.value)},p.prototype.multiply=function(t){var r,o,n,i=K(t),a=this.value,s=i.value,l=this.sign!==i.sign;if(i.isSmall){if(0===s)return u[0];if(1===s)return this;if(-1===s)return this.negate();if((r=Math.abs(s))<e)return new p(I(a,r),l);s=f(r)}return o=a.length,n=s.length,new p(-.012*o-.012*n+15e-6*o*n>0?M(a,s):S(a,s),l)},p.prototype.times=p.prototype.multiply,a.prototype._multiplyBySmall=function(t){return l(t.value*this.value)?new a(t.value*this.value):N(Math.abs(t.value),f(Math.abs(this.value)),this.sign!==t.sign)},p.prototype._multiplyBySmall=function(t){return 0===t.value?u[0]:1===t.value?this:-1===t.value?this.negate():N(Math.abs(t.value),this.value,this.sign!==t.sign)},a.prototype.multiply=function(t){return K(t)._multiplyBySmall(this)},a.prototype.times=a.prototype.multiply,s.prototype.multiply=function(t){return new s(this.value*K(t).value)},s.prototype.times=s.prototype.multiply,p.prototype.square=function(){return new p(E(this.value),!1)},a.prototype.square=function(){var t=this.value*this.value;return l(t)?new a(t):new p(E(f(Math.abs(this.value))),!1)},s.prototype.square=function(t){return new s(this.value*this.value)},p.prototype.divmod=function(t){var e=B(this,t);return{quotient:e[0],remainder:e[1]}},s.prototype.divmod=a.prototype.divmod=p.prototype.divmod,p.prototype.divide=function(t){return B(this,t)[0]},s.prototype.over=s.prototype.divide=function(t){return new s(this.value/K(t).value)},a.prototype.over=a.prototype.divide=p.prototype.over=p.prototype.divide,p.prototype.mod=function(t){return B(this,t)[1]},s.prototype.mod=s.prototype.remainder=function(t){return new s(this.value%K(t).value)},a.prototype.remainder=a.prototype.mod=p.prototype.remainder=p.prototype.mod,p.prototype.pow=function(t){var e,r,o,n=K(t),i=this.value,p=n.value;if(0===p)return u[1];if(0===i)return u[0];if(1===i)return u[1];if(-1===i)return n.isEven()?u[1]:u[-1];if(n.sign)return u[0];if(!n.isSmall)throw new Error("The exponent "+n.toString()+" is too large.");if(this.isSmall&&l(e=Math.pow(i,p)))return new a(g(e));for(r=this,o=u[1];!0&p&&(o=o.times(r),--p),0!==p;)p/=2,r=r.square();return o},a.prototype.pow=p.prototype.pow,s.prototype.pow=function(t){var e=K(t),r=this.value,o=e.value,n=BigInt(0),i=BigInt(1),p=BigInt(2);if(o===n)return u[1];if(r===n)return u[0];if(r===i)return u[1];if(r===BigInt(-1))return e.isEven()?u[1]:u[-1];if(e.isNegative())return new s(n);for(var a=this,l=u[1];(o&i)===i&&(l=l.times(a),--o),o!==n;)o/=p,a=a.square();return l},p.prototype.modPow=function(t,e){if(t=K(t),(e=K(e)).isZero())throw new Error("Cannot take modPow with modulus 0");var r=u[1],o=this.mod(e);for(t.isNegative()&&(t=t.multiply(u[-1]),o=o.modInv(e));t.isPositive();){if(o.isZero())return u[0];t.isOdd()&&(r=r.multiply(o).mod(e)),t=t.divide(2),o=o.square().mod(e)}return r},s.prototype.modPow=a.prototype.modPow=p.prototype.modPow,p.prototype.compareAbs=function(t){var e=K(t),r=this.value,o=e.value;return e.isSmall?1:A(r,o)},a.prototype.compareAbs=function(t){var e=K(t),r=Math.abs(this.value),o=e.value;return e.isSmall?r===(o=Math.abs(o))?0:r>o?1:-1:-1},s.prototype.compareAbs=function(t){var e=this.value,r=K(t).value;return(e=e>=0?e:-e)===(r=r>=0?r:-r)?0:e>r?1:-1},p.prototype.compare=function(t){if(t===1/0)return-1;if(t===-1/0)return 1;var e=K(t),r=this.value,o=e.value;return this.sign!==e.sign?e.sign?1:-1:e.isSmall?this.sign?-1:1:A(r,o)*(this.sign?-1:1)},p.prototype.compareTo=p.prototype.compare,a.prototype.compare=function(t){if(t===1/0)return-1;if(t===-1/0)return 1;var e=K(t),r=this.value,o=e.value;return e.isSmall?r==o?0:r>o?1:-1:r<0!==e.sign?r<0?-1:1:r<0?1:-1},a.prototype.compareTo=a.prototype.compare,s.prototype.compare=function(t){if(t===1/0)return-1;if(t===-1/0)return 1;var e=this.value,r=K(t).value;return e===r?0:e>r?1:-1},s.prototype.compareTo=s.prototype.compare,p.prototype.equals=function(t){return 0===this.compare(t)},s.prototype.eq=s.prototype.equals=a.prototype.eq=a.prototype.equals=p.prototype.eq=p.prototype.equals,p.prototype.notEquals=function(t){return 0!==this.compare(t)},s.prototype.neq=s.prototype.notEquals=a.prototype.neq=a.prototype.notEquals=p.prototype.neq=p.prototype.notEquals,p.prototype.greater=function(t){return this.compare(t)>0},s.prototype.gt=s.prototype.greater=a.prototype.gt=a.prototype.greater=p.prototype.gt=p.prototype.greater,p.prototype.lesser=function(t){return this.compare(t)<0},s.prototype.lt=s.prototype.lesser=a.prototype.lt=a.prototype.lesser=p.prototype.lt=p.prototype.lesser,p.prototype.greaterOrEquals=function(t){return this.compare(t)>=0},s.prototype.geq=s.prototype.greaterOrEquals=a.prototype.geq=a.prototype.greaterOrEquals=p.prototype.geq=p.prototype.greaterOrEquals,p.prototype.lesserOrEquals=function(t){return this.compare(t)<=0},s.prototype.leq=s.prototype.lesserOrEquals=a.prototype.leq=a.prototype.lesserOrEquals=p.prototype.leq=p.prototype.lesserOrEquals,p.prototype.isEven=function(){return 0==(1&this.value[0])},a.prototype.isEven=function(){return 0==(1&this.value)},s.prototype.isEven=function(){return(this.value&BigInt(1))===BigInt(0)},p.prototype.isOdd=function(){return 1==(1&this.value[0])},a.prototype.isOdd=function(){return 1==(1&this.value)},s.prototype.isOdd=function(){return(this.value&BigInt(1))===BigInt(1)},p.prototype.isPositive=function(){return!this.sign},a.prototype.isPositive=function(){return this.value>0},s.prototype.isPositive=a.prototype.isPositive,p.prototype.isNegative=function(){return this.sign},a.prototype.isNegative=function(){return this.value<0},s.prototype.isNegative=a.prototype.isNegative,p.prototype.isUnit=function(){return!1},a.prototype.isUnit=function(){return 1===Math.abs(this.value)},s.prototype.isUnit=function(){return this.abs().value===BigInt(1)},p.prototype.isZero=function(){return!1},a.prototype.isZero=function(){return 0===this.value},s.prototype.isZero=function(){return this.value===BigInt(0)},p.prototype.isDivisibleBy=function(t){var e=K(t);return!e.isZero()&&(!!e.isUnit()||(0===e.compareAbs(2)?this.isEven():this.mod(e).isZero()))},s.prototype.isDivisibleBy=a.prototype.isDivisibleBy=p.prototype.isDivisibleBy,p.prototype.isPrime=function(e){var r=P(this);if(r!==t)return r;var o=this.abs(),n=o.bitLength();if(n<=64)return Z(o,[2,3,5,7,11,13,17,19,23,29,31,37]);for(var i=Math.log(2)*n.toJSNumber(),u=Math.ceil(!0===e?2*Math.pow(i,2):i),p=[],a=0;a<u;a++)p.push(bigInt(a+2));return Z(o,p)},s.prototype.isPrime=a.prototype.isPrime=p.prototype.isPrime,p.prototype.isProbablePrime=function(e,r){var o=P(this);if(o!==t)return o;for(var n=this.abs(),i=e===t?5:e,u=[],p=0;p<i;p++)u.push(bigInt.randBetween(2,n.minus(2),r));return Z(n,u)},s.prototype.isProbablePrime=a.prototype.isProbablePrime=p.prototype.isProbablePrime,p.prototype.modInv=function(t){for(var e,r,o,n=bigInt.zero,i=bigInt.one,u=K(t),p=this.abs();!p.isZero();)e=u.divide(p),r=n,o=u,n=i,u=p,i=r.subtract(e.multiply(i)),p=o.subtract(e.multiply(p));if(!u.isUnit())throw new Error(this.toString()+" and "+t.toString()+" are not co-prime");return-1===n.compare(0)&&(n=n.add(t)),this.isNegative()?n.negate():n},s.prototype.modInv=a.prototype.modInv=p.prototype.modInv,p.prototype.next=function(){var t=this.value;return this.sign?w(t,1,this.sign):new p(d(t,1),this.sign)},a.prototype.next=function(){var t=this.value;return t+1<r?new a(t+1):new p(o,!1)},s.prototype.next=function(){return new s(this.value+BigInt(1))},p.prototype.prev=function(){var t=this.value;return this.sign?new p(d(t,1),!0):w(t,1,this.sign)},a.prototype.prev=function(){var t=this.value;return t-1>-r?new a(t-1):new p(o,!0)},s.prototype.prev=function(){return new s(this.value-BigInt(1))};for(var x=[1];2*x[x.length-1]<=e;)x.push(2*x[x.length-1]);var J=x.length,L=x[J-1];function U(t){return Math.abs(t)<=e}function T(t,e,r){e=K(e);for(var o=t.isNegative(),n=e.isNegative(),i=o?t.not():t,u=n?e.not():e,p=0,a=0,s=null,l=null,f=[];!i.isZero()||!u.isZero();)p=(s=B(i,L))[1].toJSNumber(),o&&(p=L-1-p),a=(l=B(u,L))[1].toJSNumber(),n&&(a=L-1-a),i=s[0],u=l[0],f.push(r(p,a));for(var v=0!==r(o?1:0,n?1:0)?bigInt(-1):bigInt(0),h=f.length-1;h>=0;h-=1)v=v.multiply(L).add(bigInt(f[h]));return v}p.prototype.shiftLeft=function(t){var e=K(t).toJSNumber();if(!U(e))throw new Error(String(e)+" is too large for shifting.");if(e<0)return this.shiftRight(-e);var r=this;if(r.isZero())return r;for(;e>=J;)r=r.multiply(L),e-=J-1;return r.multiply(x[e])},s.prototype.shiftLeft=a.prototype.shiftLeft=p.prototype.shiftLeft,p.prototype.shiftRight=function(t){var e,r=K(t).toJSNumber();if(!U(r))throw new Error(String(r)+" is too large for shifting.");if(r<0)return this.shiftLeft(-r);for(var o=this;r>=J;){if(o.isZero()||o.isNegative()&&o.isUnit())return o;o=(e=B(o,L))[1].isNegative()?e[0].prev():e[0],r-=J-1}return(e=B(o,x[r]))[1].isNegative()?e[0].prev():e[0]},s.prototype.shiftRight=a.prototype.shiftRight=p.prototype.shiftRight,p.prototype.not=function(){return this.negate().prev()},s.prototype.not=a.prototype.not=p.prototype.not,p.prototype.and=function(t){return T(this,t,(function(t,e){return t&e}))},s.prototype.and=a.prototype.and=p.prototype.and,p.prototype.or=function(t){return T(this,t,(function(t,e){return t|e}))},s.prototype.or=a.prototype.or=p.prototype.or,p.prototype.xor=function(t){return T(this,t,(function(t,e){return t^e}))},s.prototype.xor=a.prototype.xor=p.prototype.xor;var j=1<<30;function C(t){var r=t.value,o="number"==typeof r?r|j:"bigint"==typeof r?r|BigInt(j):r[0]+r[1]*e|1073758208;return o&-o}function D(t,e){if(e.compareTo(t)<=0){var r=D(t,e.square(e)),o=r.p,n=r.e,i=o.multiply(e);return i.compareTo(t)<=0?{p:i,e:2*n+1}:{p:o,e:2*n}}return{p:bigInt(1),e:0}}function z(t,e){return t=K(t),e=K(e),t.greater(e)?t:e}function R(t,e){return t=K(t),e=K(e),t.lesser(e)?t:e}function k(t,e){if(t=K(t).abs(),e=K(e).abs(),t.equals(e))return t;if(t.isZero())return e;if(e.isZero())return t;for(var r,o,n=u[1];t.isEven()&&e.isEven();)r=R(C(t),C(e)),t=t.divide(r),e=e.divide(r),n=n.multiply(r);for(;t.isEven();)t=t.divide(C(t));do{for(;e.isEven();)e=e.divide(C(e));t.greater(e)&&(o=e,e=t,t=o),e=e.subtract(t)}while(!e.isZero());return n.isUnit()?t:t.multiply(n)}p.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(D(t,bigInt(2)).e).add(bigInt(1))},s.prototype.bitLength=a.prototype.bitLength=p.prototype.bitLength;var _=function(t,e,r,o){r=r||n,t=String(t),o||(t=t.toLowerCase(),r=r.toLowerCase());var i,u=t.length,p=Math.abs(e),a={};for(i=0;i<r.length;i++)a[r[i]]=i;for(i=0;i<u;i++){if("-"!==(f=t[i])&&(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(i=l?1:0;i<t.length;i++){var f;if((f=t[i])in a)s.push(K(a[f]));else{if("<"!==f)throw new Error(f+" is not a valid character");var v=i;do{i++}while(">"!==t[i]&&i<t.length);s.push(K(t.slice(v+1,i)))}}return $(s,e,l)};function $(t,e,r){var o,n=u[0],i=u[1];for(o=t.length-1;o>=0;o--)n=n.add(t[o].times(i)),i=i.times(e);return r?n.negate():n}function F(t,e){if((e=bigInt(e)).isZero()){if(t.isZero())return{value:[0],isNegative:!1};throw new Error("Cannot convert nonzero numbers to base 0.")}if(e.equals(-1)){if(t.isZero())return{value:[0],isNegative:!1};if(t.isNegative())return{value:[].concat.apply([],Array.apply(null,Array(-t.toJSNumber())).map(Array.prototype.valueOf,[1,0])),isNegative:!1};var r=Array.apply(null,Array(t.toJSNumber()-1)).map(Array.prototype.valueOf,[0,1]);return r.unshift([1]),{value:[].concat.apply([],r),isNegative:!1}}var o=!1;if(t.isNegative()&&e.isPositive()&&(o=!0,t=t.abs()),e.isUnit())return t.isZero()?{value:[0],isNegative:!1}:{value:Array.apply(null,Array(t.toJSNumber())).map(Number.prototype.valueOf,1),isNegative:o};for(var n,i=[],u=t;u.isNegative()||u.compareAbs(e)>=0;){n=u.divmod(e),u=n.quotient;var p=n.remainder;p.isNegative()&&(p=e.minus(p).abs(),u=u.next()),i.push(p.toJSNumber())}return i.push(u.toJSNumber()),{value:i.reverse(),isNegative:o}}function G(t,e,r){var o=F(t,e);return(o.isNegative?"-":"")+o.value.map((function(t){return function(t,e){return t<(e=e||n).length?e[t]:"<"+t+">"}(t,r)})).join("")}function H(t){if(l(+t)){var e=+t;if(e===g(e))return i?new s(BigInt(e)):new a(e);throw new Error("Invalid integer: "+t)}var r="-"===t[0];r&&(t=t.slice(1));var o=t.split(/e/i);if(o.length>2)throw new Error("Invalid integer: "+o.join("e"));if(2===o.length){var n=o[1];if("+"===n[0]&&(n=n.slice(1)),(n=+n)!==g(n)||!l(n))throw new Error("Invalid integer: "+n+" is not a valid exponent.");var u=o[0],f=u.indexOf(".");if(f>=0&&(n-=u.length-f-1,u=u.slice(0,f)+u.slice(f+1)),n<0)throw new Error("Cannot include negative exponent part for integers");t=u+=new Array(n+1).join("0")}if(!/^([0-9][0-9]*)$/.test(t))throw new Error("Invalid integer: "+t);if(i)return new s(BigInt(r?"-"+t:t));for(var v=[],y=t.length,c=y-7;y>0;)v.push(+t.slice(c,y)),(c-=7)<0&&(c=0),y-=7;return h(v),new p(v,r)}function K(t){return"number"==typeof t?function(t){if(i)return new s(BigInt(t));if(l(t)){if(t!==g(t))throw new Error(t+" is not an integer.");return new a(t)}return H(t.toString())}(t):"string"==typeof t?H(t):"bigint"==typeof t?new s(t):t}p.prototype.toArray=function(t){return F(this,t)},a.prototype.toArray=function(t){return F(this,t)},s.prototype.toArray=function(t){return F(this,t)},p.prototype.toString=function(e,r){if(e===t&&(e=10),10!==e)return G(this,e,r);for(var o,n=this.value,i=n.length,u=String(n[--i]);--i>=0;)o=String(n[i]),u+="0000000".slice(o.length)+o;return(this.sign?"-":"")+u},a.prototype.toString=function(e,r){return e===t&&(e=10),10!=e?G(this,e,r):String(this.value)},s.prototype.toString=a.prototype.toString,s.prototype.toJSON=p.prototype.toJSON=a.prototype.toJSON=function(){return this.toString()},p.prototype.valueOf=function(){return parseInt(this.toString(),10)},p.prototype.toJSNumber=p.prototype.valueOf,a.prototype.valueOf=function(){return this.value},a.prototype.toJSNumber=a.prototype.valueOf,s.prototype.valueOf=s.prototype.toJSNumber=function(){return parseInt(this.toString(),10)};for(var Q=0;Q<1e3;Q++)u[Q]=K(Q),Q>0&&(u[-Q]=K(-Q));return u.one=u[1],u.zero=u[0],u.minusOne=u[-1],u.max=z,u.min=R,u.gcd=k,u.lcm=function(t,e){return t=K(t).abs(),e=K(e).abs(),t.divide(k(t,e)).multiply(e)},u.isInstance=function(t){return t instanceof p||t instanceof a||t instanceof s},u.randBetween=function(t,r,o){t=K(t),r=K(r);var n=o||Math.random,i=R(t,r),p=z(t,r).subtract(i).add(1);if(p.isSmall)return i.add(Math.floor(n()*p));for(var a=F(p,e).value,s=[],l=!0,f=0;f<a.length;f++){var v=l?a[f]+(f+1<a.length?a[f+1]/e:0):e,h=g(n()*v);s.push(h),h<a[f]&&(l=!1)}return i.add(u.fromArray(s,e,!1))},u.fromArray=function(t,e,r){return $(t.map(K),K(e||10),r)},u}();"undefined"!=typeof module&&module.hasOwnProperty("exports")&&(module.exports=bigInt),"function"==typeof define&&define.amd&&define((function(){return bigInt}));
var bigInt=function(undefined){"use strict";var BASE=1e7,LOG_BASE=7,MAX_INT=9007199254740992,MAX_INT_ARR=smallToArray(MAX_INT),DEFAULT_ALPHABET="0123456789abcdefghijklmnopqrstuvwxyz";var supportsNativeBigInt=typeof BigInt==="function";function Integer(v,radix,alphabet,caseSensitive){if(typeof v==="undefined")return Integer[0];if(typeof radix!=="undefined")return+radix===10&&!alphabet?parseValue(v):parseBase(v,radix,alphabet,caseSensitive);return parseValue(v)}function BigInteger(value,sign){this.value=value;this.sign=sign;this.isSmall=false}BigInteger.prototype=Object.create(Integer.prototype);function SmallInteger(value){this.value=value;this.sign=value<0;this.isSmall=true}SmallInteger.prototype=Object.create(Integer.prototype);function NativeBigInt(value){this.value=value}NativeBigInt.prototype=Object.create(Integer.prototype);function isPrecise(n){return-MAX_INT<n&&n<MAX_INT}function smallToArray(n){if(n<1e7)return[n];if(n<1e14)return[n%1e7,Math.floor(n/1e7)];return[n%1e7,Math.floor(n/1e7)%1e7,Math.floor(n/1e14)]}function arrayToSmall(arr){trim(arr);var length=arr.length;if(length<4&&compareAbs(arr,MAX_INT_ARR)<0){switch(length){case 0:return 0;case 1:return arr[0];case 2:return arr[0]+arr[1]*BASE;default:return arr[0]+(arr[1]+arr[2]*BASE)*BASE}}return arr}function trim(v){var i=v.length;while(v[--i]===0);v.length=i+1}function createArray(length){var x=new Array(length);var i=-1;while(++i<length){x[i]=0}return x}function truncate(n){if(n>0)return Math.floor(n);return Math.ceil(n)}function add(a,b){var l_a=a.length,l_b=b.length,r=new Array(l_a),carry=0,base=BASE,sum,i;for(i=0;i<l_b;i++){sum=a[i]+b[i]+carry;carry=sum>=base?1:0;r[i]=sum-carry*base}while(i<l_a){sum=a[i]+carry;carry=sum===base?1:0;r[i++]=sum-carry*base}if(carry>0)r.push(carry);return r}function addAny(a,b){if(a.length>=b.length)return add(a,b);return add(b,a)}function addSmall(a,carry){var l=a.length,r=new Array(l),base=BASE,sum,i;for(i=0;i<l;i++){sum=a[i]-base+carry;carry=Math.floor(sum/base);r[i]=sum-carry*base;carry+=1}while(carry>0){r[i++]=carry%base;carry=Math.floor(carry/base)}return r}BigInteger.prototype.add=function(v){var n=parseValue(v);if(this.sign!==n.sign){return this.subtract(n.negate())}var a=this.value,b=n.value;if(n.isSmall){return new BigInteger(addSmall(a,Math.abs(b)),this.sign)}return new BigInteger(addAny(a,b),this.sign)};BigInteger.prototype.plus=BigInteger.prototype.add;SmallInteger.prototype.add=function(v){var n=parseValue(v);var a=this.value;if(a<0!==n.sign){return this.subtract(n.negate())}var b=n.value;if(n.isSmall){if(isPrecise(a+b))return new SmallInteger(a+b);b=smallToArray(Math.abs(b))}return new BigInteger(addSmall(b,Math.abs(a)),a<0)};SmallInteger.prototype.plus=SmallInteger.prototype.add;NativeBigInt.prototype.add=function(v){return new NativeBigInt(this.value+parseValue(v).value)};NativeBigInt.prototype.plus=NativeBigInt.prototype.add;function subtract(a,b){var a_l=a.length,b_l=b.length,r=new Array(a_l),borrow=0,base=BASE,i,difference;for(i=0;i<b_l;i++){difference=a[i]-borrow-b[i];if(difference<0){difference+=base;borrow=1}else borrow=0;r[i]=difference}for(i=b_l;i<a_l;i++){difference=a[i]-borrow;if(difference<0)difference+=base;else{r[i++]=difference;break}r[i]=difference}for(;i<a_l;i++){r[i]=a[i]}trim(r);return r}function subtractAny(a,b,sign){var value;if(compareAbs(a,b)>=0){value=subtract(a,b)}else{value=subtract(b,a);sign=!sign}value=arrayToSmall(value);if(typeof value==="number"){if(sign)value=-value;return new SmallInteger(value)}return new BigInteger(value,sign)}function subtractSmall(a,b,sign){var l=a.length,r=new Array(l),carry=-b,base=BASE,i,difference;for(i=0;i<l;i++){difference=a[i]+carry;carry=Math.floor(difference/base);difference%=base;r[i]=difference<0?difference+base:difference}r=arrayToSmall(r);if(typeof r==="number"){if(sign)r=-r;return new SmallInteger(r)}return new BigInteger(r,sign)}BigInteger.prototype.subtract=function(v){var n=parseValue(v);if(this.sign!==n.sign){return this.add(n.negate())}var a=this.value,b=n.value;if(n.isSmall)return subtractSmall(a,Math.abs(b),this.sign);return subtractAny(a,b,this.sign)};BigInteger.prototype.minus=BigInteger.prototype.subtract;SmallInteger.prototype.subtract=function(v){var n=parseValue(v);var a=this.value;if(a<0!==n.sign){return this.add(n.negate())}var b=n.value;if(n.isSmall){return new SmallInteger(a-b)}return subtractSmall(b,Math.abs(a),a>=0)};SmallInteger.prototype.minus=SmallInteger.prototype.subtract;NativeBigInt.prototype.subtract=function(v){return new NativeBigInt(this.value-parseValue(v).value)};NativeBigInt.prototype.minus=NativeBigInt.prototype.subtract;BigInteger.prototype.negate=function(){return new BigInteger(this.value,!this.sign)};SmallInteger.prototype.negate=function(){var sign=this.sign;var small=new SmallInteger(-this.value);small.sign=!sign;return small};NativeBigInt.prototype.negate=function(){return new NativeBigInt(-this.value)};BigInteger.prototype.abs=function(){return new BigInteger(this.value,false)};SmallInteger.prototype.abs=function(){return new SmallInteger(Math.abs(this.value))};NativeBigInt.prototype.abs=function(){return new NativeBigInt(this.value>=0?this.value:-this.value)};function multiplyLong(a,b){var a_l=a.length,b_l=b.length,l=a_l+b_l,r=createArray(l),base=BASE,product,carry,i,a_i,b_j;for(i=0;i<a_l;++i){a_i=a[i];for(var j=0;j<b_l;++j){b_j=b[j];product=a_i*b_j+r[i+j];carry=Math.floor(product/base);r[i+j]=product-carry*base;r[i+j+1]+=carry}}trim(r);return r}function multiplySmall(a,b){var l=a.length,r=new Array(l),base=BASE,carry=0,product,i;for(i=0;i<l;i++){product=a[i]*b+carry;carry=Math.floor(product/base);r[i]=product-carry*base}while(carry>0){r[i++]=carry%base;carry=Math.floor(carry/base)}return r}function shiftLeft(x,n){var r=[];while(n-- >0)r.push(0);return r.concat(x)}function multiplyKaratsuba(x,y){var n=Math.max(x.length,y.length);if(n<=30)return multiplyLong(x,y);n=Math.ceil(n/2);var b=x.slice(n),a=x.slice(0,n),d=y.slice(n),c=y.slice(0,n);var ac=multiplyKaratsuba(a,c),bd=multiplyKaratsuba(b,d),abcd=multiplyKaratsuba(addAny(a,b),addAny(c,d));var product=addAny(addAny(ac,shiftLeft(subtract(subtract(abcd,ac),bd),n)),shiftLeft(bd,2*n));trim(product);return product}function useKaratsuba(l1,l2){return-.012*l1-.012*l2+15e-6*l1*l2>0}BigInteger.prototype.multiply=function(v){var n=parseValue(v),a=this.value,b=n.value,sign=this.sign!==n.sign,abs;if(n.isSmall){if(b===0)return Integer[0];if(b===1)return this;if(b===-1)return this.negate();abs=Math.abs(b);if(abs<BASE){return new BigInteger(multiplySmall(a,abs),sign)}b=smallToArray(abs)}if(useKaratsuba(a.length,b.length))return new BigInteger(multiplyKaratsuba(a,b),sign);return new BigInteger(multiplyLong(a,b),sign)};BigInteger.prototype.times=BigInteger.prototype.multiply;function multiplySmallAndArray(a,b,sign){if(a<BASE){return new BigInteger(multiplySmall(b,a),sign)}return new BigInteger(multiplyLong(b,smallToArray(a)),sign)}SmallInteger.prototype._multiplyBySmall=function(a){if(isPrecise(a.value*this.value)){return new SmallInteger(a.value*this.value)}return multiplySmallAndArray(Math.abs(a.value),smallToArray(Math.abs(this.value)),this.sign!==a.sign)};BigInteger.prototype._multiplyBySmall=function(a){if(a.value===0)return Integer[0];if(a.value===1)return this;if(a.value===-1)return this.negate();return multiplySmallAndArray(Math.abs(a.value),this.value,this.sign!==a.sign)};SmallInteger.prototype.multiply=function(v){return parseValue(v)._multiplyBySmall(this)};SmallInteger.prototype.times=SmallInteger.prototype.multiply;NativeBigInt.prototype.multiply=function(v){return new NativeBigInt(this.value*parseValue(v).value)};NativeBigInt.prototype.times=NativeBigInt.prototype.multiply;function square(a){var l=a.length,r=createArray(l+l),base=BASE,product,carry,i,a_i,a_j;for(i=0;i<l;i++){a_i=a[i];carry=0-a_i*a_i;for(var j=i;j<l;j++){a_j=a[j];product=2*(a_i*a_j)+r[i+j]+carry;carry=Math.floor(product/base);r[i+j]=product-carry*base}r[i+l]=carry}trim(r);return r}BigInteger.prototype.square=function(){return new BigInteger(square(this.value),false)};SmallInteger.prototype.square=function(){var value=this.value*this.value;if(isPrecise(value))return new SmallInteger(value);return new BigInteger(square(smallToArray(Math.abs(this.value))),false)};NativeBigInt.prototype.square=function(v){return new NativeBigInt(this.value*this.value)};function divMod1(a,b){var a_l=a.length,b_l=b.length,base=BASE,result=createArray(b.length),divisorMostSignificantDigit=b[b_l-1],lambda=Math.ceil(base/(2*divisorMostSignificantDigit)),remainder=multiplySmall(a,lambda),divisor=multiplySmall(b,lambda),quotientDigit,shift,carry,borrow,i,l,q;if(remainder.length<=a_l)remainder.push(0);divisor.push(0);divisorMostSignificantDigit=divisor[b_l-1];for(shift=a_l-b_l;shift>=0;shift--){quotientDigit=base-1;if(remainder[shift+b_l]!==divisorMostSignificantDigit){quotientDigit=Math.floor((remainder[shift+b_l]*base+remainder[shift+b_l-1])/divisorMostSignificantDigit)}carry=0;borrow=0;l=divisor.length;for(i=0;i<l;i++){carry+=quotientDigit*divisor[i];q=Math.floor(carry/base);borrow+=remainder[shift+i]-(carry-q*base);carry=q;if(borrow<0){remainder[shift+i]=borrow+base;borrow=-1}else{remainder[shift+i]=borrow;borrow=0}}while(borrow!==0){quotientDigit-=1;carry=0;for(i=0;i<l;i++){carry+=remainder[shift+i]-base+divisor[i];if(carry<0){remainder[shift+i]=carry+base;carry=0}else{remainder[shift+i]=carry;carry=1}}borrow+=carry}result[shift]=quotientDigit}remainder=divModSmall(remainder,lambda)[0];return[arrayToSmall(result),arrayToSmall(remainder)]}function divMod2(a,b){var a_l=a.length,b_l=b.length,result=[],part=[],base=BASE,guess,xlen,highx,highy,check;while(a_l){part.unshift(a[--a_l]);trim(part);if(compareAbs(part,b)<0){result.push(0);continue}xlen=part.length;highx=part[xlen-1]*base+part[xlen-2];highy=b[b_l-1]*base+b[b_l-2];if(xlen>b_l){highx=(highx+1)*base}guess=Math.ceil(highx/highy);do{check=multiplySmall(b,guess);if(compareAbs(check,part)<=0)break;guess--}while(guess);result.push(guess);part=subtract(part,check)}result.reverse();return[arrayToSmall(result),arrayToSmall(part)]}function divModSmall(value,lambda){var length=value.length,quotient=createArray(length),base=BASE,i,q,remainder,divisor;remainder=0;for(i=length-1;i>=0;--i){divisor=remainder*base+value[i];q=truncate(divisor/lambda);remainder=divisor-q*lambda;quotient[i]=q|0}return[quotient,remainder|0]}function divModAny(self,v){var value,n=parseValue(v);if(supportsNativeBigInt){return[new NativeBigInt(self.value/n.value),new NativeBigInt(self.value%n.value)]}var a=self.value,b=n.value;var quotient;if(b===0)throw new Error("Cannot divide by zero");if(self.isSmall){if(n.isSmall){return[new SmallInteger(truncate(a/b)),new SmallInteger(a%b)]}return[Integer[0],self]}if(n.isSmall){if(b===1)return[self,Integer[0]];if(b==-1)return[self.negate(),Integer[0]];var abs=Math.abs(b);if(abs<BASE){value=divModSmall(a,abs);quotient=arrayToSmall(value[0]);var remainder=value[1];if(self.sign)remainder=-remainder;if(typeof quotient==="number"){if(self.sign!==n.sign)quotient=-quotient;return[new SmallInteger(quotient),new SmallInteger(remainder)]}return[new BigInteger(quotient,self.sign!==n.sign),new SmallInteger(remainder)]}b=smallToArray(abs)}var comparison=compareAbs(a,b);if(comparison===-1)return[Integer[0],self];if(comparison===0)return[Integer[self.sign===n.sign?1:-1],Integer[0]];if(a.length+b.length<=200)value=divMod1(a,b);else value=divMod2(a,b);quotient=value[0];var qSign=self.sign!==n.sign,mod=value[1],mSign=self.sign;if(typeof quotient==="number"){if(qSign)quotient=-quotient;quotient=new SmallInteger(quotient)}else quotient=new BigInteger(quotient,qSign);if(typeof mod==="number"){if(mSign)mod=-mod;mod=new SmallInteger(mod)}else mod=new BigInteger(mod,mSign);return[quotient,mod]}BigInteger.prototype.divmod=function(v){var result=divModAny(this,v);return{quotient:result[0],remainder:result[1]}};NativeBigInt.prototype.divmod=SmallInteger.prototype.divmod=BigInteger.prototype.divmod;BigInteger.prototype.divide=function(v){return divModAny(this,v)[0]};NativeBigInt.prototype.over=NativeBigInt.prototype.divide=function(v){return new NativeBigInt(this.value/parseValue(v).value)};SmallInteger.prototype.over=SmallInteger.prototype.divide=BigInteger.prototype.over=BigInteger.prototype.divide;BigInteger.prototype.mod=function(v){return divModAny(this,v)[1]};NativeBigInt.prototype.mod=NativeBigInt.prototype.remainder=function(v){return new NativeBigInt(this.value%parseValue(v).value)};SmallInteger.prototype.remainder=SmallInteger.prototype.mod=BigInteger.prototype.remainder=BigInteger.prototype.mod;BigInteger.prototype.pow=function(v){var n=parseValue(v),a=this.value,b=n.value,value,x,y;if(b===0)return Integer[1];if(a===0)return Integer[0];if(a===1)return Integer[1];if(a===-1)return n.isEven()?Integer[1]:Integer[-1];if(n.sign){return Integer[0]}if(!n.isSmall)throw new Error("The exponent "+n.toString()+" is too large.");if(this.isSmall){if(isPrecise(value=Math.pow(a,b)))return new SmallInteger(truncate(value))}x=this;y=Integer[1];while(true){if(b&1===1){y=y.times(x);--b}if(b===0)break;b/=2;x=x.square()}return y};SmallInteger.prototype.pow=BigInteger.prototype.pow;NativeBigInt.prototype.pow=function(v){var n=parseValue(v);var a=this.value,b=n.value;var _0=BigInt(0),_1=BigInt(1),_2=BigInt(2);if(b===_0)return Integer[1];if(a===_0)return Integer[0];if(a===_1)return Integer[1];if(a===BigInt(-1))return n.isEven()?Integer[1]:Integer[-1];if(n.isNegative())return new NativeBigInt(_0);var x=this;var y=Integer[1];while(true){if((b&_1)===_1){y=y.times(x);--b}if(b===_0)break;b/=_2;x=x.square()}return y};BigInteger.prototype.modPow=function(exp,mod){exp=parseValue(exp);mod=parseValue(mod);if(mod.isZero())throw new Error("Cannot take modPow with modulus 0");var r=Integer[1],base=this.mod(mod);if(exp.isNegative()){exp=exp.multiply(Integer[-1]);base=base.modInv(mod)}while(exp.isPositive()){if(base.isZero())return Integer[0];if(exp.isOdd())r=r.multiply(base).mod(mod);exp=exp.divide(2);base=base.square().mod(mod)}return r};NativeBigInt.prototype.modPow=SmallInteger.prototype.modPow=BigInteger.prototype.modPow;function compareAbs(a,b){if(a.length!==b.length){return a.length>b.length?1:-1}for(var i=a.length-1;i>=0;i--){if(a[i]!==b[i])return a[i]>b[i]?1:-1}return 0}BigInteger.prototype.compareAbs=function(v){var n=parseValue(v),a=this.value,b=n.value;if(n.isSmall)return 1;return compareAbs(a,b)};SmallInteger.prototype.compareAbs=function(v){var n=parseValue(v),a=Math.abs(this.value),b=n.value;if(n.isSmall){b=Math.abs(b);return a===b?0:a>b?1:-1}return-1};NativeBigInt.prototype.compareAbs=function(v){var a=this.value;var b=parseValue(v).value;a=a>=0?a:-a;b=b>=0?b:-b;return a===b?0:a>b?1:-1};BigInteger.prototype.compare=function(v){if(v===Infinity){return-1}if(v===-Infinity){return 1}var n=parseValue(v),a=this.value,b=n.value;if(this.sign!==n.sign){return n.sign?1:-1}if(n.isSmall){return this.sign?-1:1}return compareAbs(a,b)*(this.sign?-1:1)};BigInteger.prototype.compareTo=BigInteger.prototype.compare;SmallInteger.prototype.compare=function(v){if(v===Infinity){return-1}if(v===-Infinity){return 1}var n=parseValue(v),a=this.value,b=n.value;if(n.isSmall){return a==b?0:a>b?1:-1}if(a<0!==n.sign){return a<0?-1:1}return a<0?1:-1};SmallInteger.prototype.compareTo=SmallInteger.prototype.compare;NativeBigInt.prototype.compare=function(v){if(v===Infinity){return-1}if(v===-Infinity){return 1}var a=this.value;var b=parseValue(v).value;return a===b?0:a>b?1:-1};NativeBigInt.prototype.compareTo=NativeBigInt.prototype.compare;BigInteger.prototype.equals=function(v){return this.compare(v)===0};NativeBigInt.prototype.eq=NativeBigInt.prototype.equals=SmallInteger.prototype.eq=SmallInteger.prototype.equals=BigInteger.prototype.eq=BigInteger.prototype.equals;BigInteger.prototype.notEquals=function(v){return this.compare(v)!==0};NativeBigInt.prototype.neq=NativeBigInt.prototype.notEquals=SmallInteger.prototype.neq=SmallInteger.prototype.notEquals=BigInteger.prototype.neq=BigInteger.prototype.notEquals;BigInteger.prototype.greater=function(v){return this.compare(v)>0};NativeBigInt.prototype.gt=NativeBigInt.prototype.greater=SmallInteger.prototype.gt=SmallInteger.prototype.greater=BigInteger.prototype.gt=BigInteger.prototype.greater;BigInteger.prototype.lesser=function(v){return this.compare(v)<0};NativeBigInt.prototype.lt=NativeBigInt.prototype.lesser=SmallInteger.prototype.lt=SmallInteger.prototype.lesser=BigInteger.prototype.lt=BigInteger.prototype.lesser;BigInteger.prototype.greaterOrEquals=function(v){return this.compare(v)>=0};NativeBigInt.prototype.geq=NativeBigInt.prototype.greaterOrEquals=SmallInteger.prototype.geq=SmallInteger.prototype.greaterOrEquals=BigInteger.prototype.geq=BigInteger.prototype.greaterOrEquals;BigInteger.prototype.lesserOrEquals=function(v){return this.compare(v)<=0};NativeBigInt.prototype.leq=NativeBigInt.prototype.lesserOrEquals=SmallInteger.prototype.leq=SmallInteger.prototype.lesserOrEquals=BigInteger.prototype.leq=BigInteger.prototype.lesserOrEquals;BigInteger.prototype.isEven=function(){return(this.value[0]&1)===0};SmallInteger.prototype.isEven=function(){return(this.value&1)===0};NativeBigInt.prototype.isEven=function(){return(this.value&BigInt(1))===BigInt(0)};BigInteger.prototype.isOdd=function(){return(this.value[0]&1)===1};SmallInteger.prototype.isOdd=function(){return(this.value&1)===1};NativeBigInt.prototype.isOdd=function(){return(this.value&BigInt(1))===BigInt(1)};BigInteger.prototype.isPositive=function(){return!this.sign};SmallInteger.prototype.isPositive=function(){return this.value>0};NativeBigInt.prototype.isPositive=SmallInteger.prototype.isPositive;BigInteger.prototype.isNegative=function(){return this.sign};SmallInteger.prototype.isNegative=function(){return this.value<0};NativeBigInt.prototype.isNegative=SmallInteger.prototype.isNegative;BigInteger.prototype.isUnit=function(){return false};SmallInteger.prototype.isUnit=function(){return Math.abs(this.value)===1};NativeBigInt.prototype.isUnit=function(){return this.abs().value===BigInt(1)};BigInteger.prototype.isZero=function(){return false};SmallInteger.prototype.isZero=function(){return this.value===0};NativeBigInt.prototype.isZero=function(){return this.value===BigInt(0)};BigInteger.prototype.isDivisibleBy=function(v){var n=parseValue(v);if(n.isZero())return false;if(n.isUnit())return true;if(n.compareAbs(2)===0)return this.isEven();return this.mod(n).isZero()};NativeBigInt.prototype.isDivisibleBy=SmallInteger.prototype.isDivisibleBy=BigInteger.prototype.isDivisibleBy;function isBasicPrime(v){var n=v.abs();if(n.isUnit())return false;if(n.equals(2)||n.equals(3)||n.equals(5))return true;if(n.isEven()||n.isDivisibleBy(3)||n.isDivisibleBy(5))return false;if(n.lesser(49))return true}function millerRabinTest(n,a){var nPrev=n.prev(),b=nPrev,r=0,d,t,i,x;while(b.isEven())b=b.divide(2),r++;next:for(i=0;i<a.length;i++){if(n.lesser(a[i]))continue;x=bigInt(a[i]).modPow(b,n);if(x.isUnit()||x.equals(nPrev))continue;for(d=r-1;d!=0;d--){x=x.square().mod(n);if(x.isUnit())return false;if(x.equals(nPrev))continue next}return false}return true}BigInteger.prototype.isPrime=function(strict){var isPrime=isBasicPrime(this);if(isPrime!==undefined)return isPrime;var n=this.abs();var bits=n.bitLength();if(bits<=64)return millerRabinTest(n,[2,3,5,7,11,13,17,19,23,29,31,37]);var logN=Math.log(2)*bits.toJSNumber();var t=Math.ceil(strict===true?2*Math.pow(logN,2):logN);for(var a=[],i=0;i<t;i++){a.push(bigInt(i+2))}return millerRabinTest(n,a)};NativeBigInt.prototype.isPrime=SmallInteger.prototype.isPrime=BigInteger.prototype.isPrime;BigInteger.prototype.isProbablePrime=function(iterations,rng){var isPrime=isBasicPrime(this);if(isPrime!==undefined)return isPrime;var n=this.abs();var t=iterations===undefined?5:iterations;for(var a=[],i=0;i<t;i++){a.push(bigInt.randBetween(2,n.minus(2),rng))}return millerRabinTest(n,a)};NativeBigInt.prototype.isProbablePrime=SmallInteger.prototype.isProbablePrime=BigInteger.prototype.isProbablePrime;BigInteger.prototype.modInv=function(n){var t=bigInt.zero,newT=bigInt.one,r=parseValue(n),newR=this.abs(),q,lastT,lastR;while(!newR.isZero()){q=r.divide(newR);lastT=t;lastR=r;t=newT;r=newR;newT=lastT.subtract(q.multiply(newT));newR=lastR.subtract(q.multiply(newR))}if(!r.isUnit())throw new Error(this.toString()+" and "+n.toString()+" are not co-prime");if(t.compare(0)===-1){t=t.add(n)}if(this.isNegative()){return t.negate()}return t};NativeBigInt.prototype.modInv=SmallInteger.prototype.modInv=BigInteger.prototype.modInv;BigInteger.prototype.next=function(){var value=this.value;if(this.sign){return subtractSmall(value,1,this.sign)}return new BigInteger(addSmall(value,1),this.sign)};SmallInteger.prototype.next=function(){var value=this.value;if(value+1<MAX_INT)return new SmallInteger(value+1);return new BigInteger(MAX_INT_ARR,false)};NativeBigInt.prototype.next=function(){return new NativeBigInt(this.value+BigInt(1))};BigInteger.prototype.prev=function(){var value=this.value;if(this.sign){return new BigInteger(addSmall(value,1),true)}return subtractSmall(value,1,this.sign)};SmallInteger.prototype.prev=function(){var value=this.value;if(value-1>-MAX_INT)return new SmallInteger(value-1);return new BigInteger(MAX_INT_ARR,true)};NativeBigInt.prototype.prev=function(){return new NativeBigInt(this.value-BigInt(1))};var powersOfTwo=[1];while(2*powersOfTwo[powersOfTwo.length-1]<=BASE)powersOfTwo.push(2*powersOfTwo[powersOfTwo.length-1]);var powers2Length=powersOfTwo.length,highestPower2=powersOfTwo[powers2Length-1];function shift_isSmall(n){return Math.abs(n)<=BASE}BigInteger.prototype.shiftLeft=function(v){var n=parseValue(v).toJSNumber();if(!shift_isSmall(n)){throw new Error(String(n)+" is too large for shifting.")}if(n<0)return this.shiftRight(-n);var result=this;if(result.isZero())return result;while(n>=powers2Length){result=result.multiply(highestPower2);n-=powers2Length-1}return result.multiply(powersOfTwo[n])};NativeBigInt.prototype.shiftLeft=SmallInteger.prototype.shiftLeft=BigInteger.prototype.shiftLeft;BigInteger.prototype.shiftRight=function(v){var remQuo;var n=parseValue(v).toJSNumber();if(!shift_isSmall(n)){throw new Error(String(n)+" is too large for shifting.")}if(n<0)return this.shiftLeft(-n);var result=this;while(n>=powers2Length){if(result.isZero()||result.isNegative()&&result.isUnit())return result;remQuo=divModAny(result,highestPower2);result=remQuo[1].isNegative()?remQuo[0].prev():remQuo[0];n-=powers2Length-1}remQuo=divModAny(result,powersOfTwo[n]);return remQuo[1].isNegative()?remQuo[0].prev():remQuo[0]};NativeBigInt.prototype.shiftRight=SmallInteger.prototype.shiftRight=BigInteger.prototype.shiftRight;function bitwise(x,y,fn){y=parseValue(y);var xSign=x.isNegative(),ySign=y.isNegative();var xRem=xSign?x.not():x,yRem=ySign?y.not():y;var xDigit=0,yDigit=0;var xDivMod=null,yDivMod=null;var result=[];while(!xRem.isZero()||!yRem.isZero()){xDivMod=divModAny(xRem,highestPower2);xDigit=xDivMod[1].toJSNumber();if(xSign){xDigit=highestPower2-1-xDigit}yDivMod=divModAny(yRem,highestPower2);yDigit=yDivMod[1].toJSNumber();if(ySign){yDigit=highestPower2-1-yDigit}xRem=xDivMod[0];yRem=yDivMod[0];result.push(fn(xDigit,yDigit))}var sum=fn(xSign?1:0,ySign?1:0)!==0?bigInt(-1):bigInt(0);for(var i=result.length-1;i>=0;i-=1){sum=sum.multiply(highestPower2).add(bigInt(result[i]))}return sum}BigInteger.prototype.not=function(){return this.negate().prev()};NativeBigInt.prototype.not=SmallInteger.prototype.not=BigInteger.prototype.not;BigInteger.prototype.and=function(n){return bitwise(this,n,function(a,b){return a&b})};NativeBigInt.prototype.and=SmallInteger.prototype.and=BigInteger.prototype.and;BigInteger.prototype.or=function(n){return bitwise(this,n,function(a,b){return a|b})};NativeBigInt.prototype.or=SmallInteger.prototype.or=BigInteger.prototype.or;BigInteger.prototype.xor=function(n){return bitwise(this,n,function(a,b){return a^b})};NativeBigInt.prototype.xor=SmallInteger.prototype.xor=BigInteger.prototype.xor;var LOBMASK_I=1<<30,LOBMASK_BI=(BASE&-BASE)*(BASE&-BASE)|LOBMASK_I;function roughLOB(n){var v=n.value,x=typeof v==="number"?v|LOBMASK_I:typeof v==="bigint"?v|BigInt(LOBMASK_I):v[0]+v[1]*BASE|LOBMASK_BI;return x&-x}function integerLogarithm(value,base){if(base.compareTo(value)<=0){var tmp=integerLogarithm(value,base.square(base));var p=tmp.p;var e=tmp.e;var t=p.multiply(base);return t.compareTo(value)<=0?{p:t,e:e*2+1}:{p:p,e:e*2}}return{p:bigInt(1),e:0}}BigInteger.prototype.bitLength=function(){var n=this;if(n.compareTo(bigInt(0))<0){n=n.negate().subtract(bigInt(1))}if(n.compareTo(bigInt(0))===0){return bigInt(0)}return bigInt(integerLogarithm(n,bigInt(2)).e).add(bigInt(1))};NativeBigInt.prototype.bitLength=SmallInteger.prototype.bitLength=BigInteger.prototype.bitLength;function max(a,b){a=parseValue(a);b=parseValue(b);return a.greater(b)?a:b}function min(a,b){a=parseValue(a);b=parseValue(b);return a.lesser(b)?a:b}function gcd(a,b){a=parseValue(a).abs();b=parseValue(b).abs();if(a.equals(b))return a;if(a.isZero())return b;if(b.isZero())return a;var c=Integer[1],d,t;while(a.isEven()&&b.isEven()){d=min(roughLOB(a),roughLOB(b));a=a.divide(d);b=b.divide(d);c=c.multiply(d)}while(a.isEven()){a=a.divide(roughLOB(a))}do{while(b.isEven()){b=b.divide(roughLOB(b))}if(a.greater(b)){t=b;b=a;a=t}b=b.subtract(a)}while(!b.isZero());return c.isUnit()?a:a.multiply(c)}function lcm(a,b){a=parseValue(a).abs();b=parseValue(b).abs();return a.divide(gcd(a,b)).multiply(b)}function randBetween(a,b,rng){a=parseValue(a);b=parseValue(b);var usedRNG=rng||Math.random;var low=min(a,b),high=max(a,b);var range=high.subtract(low).add(1);if(range.isSmall)return low.add(Math.floor(usedRNG()*range));var digits=toBase(range,BASE).value;var result=[],restricted=true;for(var i=0;i<digits.length;i++){var top=restricted?digits[i]+(i+1<digits.length?digits[i+1]/BASE:0):BASE;var digit=truncate(usedRNG()*top);result.push(digit);if(digit<digits[i])restricted=false}return low.add(Integer.fromArray(result,BASE,false))}var parseBase=function(text,base,alphabet,caseSensitive){alphabet=alphabet||DEFAULT_ALPHABET;text=String(text);if(!caseSensitive){text=text.toLowerCase();alphabet=alphabet.toLowerCase()}var length=text.length;var i;var absBase=Math.abs(base);var alphabetValues={};for(i=0;i<alphabet.length;i++){alphabetValues[alphabet[i]]=i}for(i=0;i<length;i++){var c=text[i];if(c==="-")continue;if(c in alphabetValues){if(alphabetValues[c]>=absBase){if(c==="1"&&absBase===1)continue;throw new Error(c+" is not a valid digit in base "+base+".")}}}base=parseValue(base);var digits=[];var isNegative=text[0]==="-";for(i=isNegative?1:0;i<text.length;i++){var c=text[i];if(c in alphabetValues)digits.push(parseValue(alphabetValues[c]));else if(c==="<"){var start=i;do{i++}while(text[i]!==">"&&i<text.length);digits.push(parseValue(text.slice(start+1,i)))}else throw new Error(c+" is not a valid character")}return parseBaseFromArray(digits,base,isNegative)};function parseBaseFromArray(digits,base,isNegative){var val=Integer[0],pow=Integer[1],i;for(i=digits.length-1;i>=0;i--){val=val.add(digits[i].times(pow));pow=pow.times(base)}return isNegative?val.negate():val}function stringify(digit,alphabet){alphabet=alphabet||DEFAULT_ALPHABET;if(digit<alphabet.length){return alphabet[digit]}return"<"+digit+">"}function toBase(n,base){base=bigInt(base);if(base.isZero()){if(n.isZero())return{value:[0],isNegative:false};throw new Error("Cannot convert nonzero numbers to base 0.")}if(base.equals(-1)){if(n.isZero())return{value:[0],isNegative:false};if(n.isNegative())return{value:[].concat.apply([],Array.apply(null,Array(-n.toJSNumber())).map(Array.prototype.valueOf,[1,0])),isNegative:false};var arr=Array.apply(null,Array(n.toJSNumber()-1)).map(Array.prototype.valueOf,[0,1]);arr.unshift([1]);return{value:[].concat.apply([],arr),isNegative:false}}var neg=false;if(n.isNegative()&&base.isPositive()){neg=true;n=n.abs()}if(base.isUnit()){if(n.isZero())return{value:[0],isNegative:false};return{value:Array.apply(null,Array(n.toJSNumber())).map(Number.prototype.valueOf,1),isNegative:neg}}var out=[];var left=n,divmod;while(left.isNegative()||left.compareAbs(base)>=0){divmod=left.divmod(base);left=divmod.quotient;var digit=divmod.remainder;if(digit.isNegative()){digit=base.minus(digit).abs();left=left.next()}out.push(digit.toJSNumber())}out.push(left.toJSNumber());return{value:out.reverse(),isNegative:neg}}function toBaseString(n,base,alphabet){var arr=toBase(n,base);return(arr.isNegative?"-":"")+arr.value.map(function(x){return stringify(x,alphabet)}).join("")}BigInteger.prototype.toArray=function(radix){return toBase(this,radix)};SmallInteger.prototype.toArray=function(radix){return toBase(this,radix)};NativeBigInt.prototype.toArray=function(radix){return toBase(this,radix)};BigInteger.prototype.toString=function(radix,alphabet){if(radix===undefined)radix=10;if(radix!==10||alphabet)return toBaseString(this,radix,alphabet);var v=this.value,l=v.length,str=String(v[--l]),zeros="0000000",digit;while(--l>=0){digit=String(v[l]);str+=zeros.slice(digit.length)+digit}var sign=this.sign?"-":"";return sign+str};SmallInteger.prototype.toString=function(radix,alphabet){if(radix===undefined)radix=10;if(radix!=10||alphabet)return toBaseString(this,radix,alphabet);return String(this.value)};NativeBigInt.prototype.toString=SmallInteger.prototype.toString;NativeBigInt.prototype.toJSON=BigInteger.prototype.toJSON=SmallInteger.prototype.toJSON=function(){return this.toString()};BigInteger.prototype.valueOf=function(){return parseInt(this.toString(),10)};BigInteger.prototype.toJSNumber=BigInteger.prototype.valueOf;SmallInteger.prototype.valueOf=function(){return this.value};SmallInteger.prototype.toJSNumber=SmallInteger.prototype.valueOf;NativeBigInt.prototype.valueOf=NativeBigInt.prototype.toJSNumber=function(){return parseInt(this.toString(),10)};function parseStringValue(v){if(isPrecise(+v)){var x=+v;if(x===truncate(x))return supportsNativeBigInt?new NativeBigInt(BigInt(x)):new SmallInteger(x);throw new Error("Invalid integer: "+v)}var sign=v[0]==="-";if(sign)v=v.slice(1);var split=v.split(/e/i);if(split.length>2)throw new Error("Invalid integer: "+split.join("e"));if(split.length===2){var exp=split[1];if(exp[0]==="+")exp=exp.slice(1);exp=+exp;if(exp!==truncate(exp)||!isPrecise(exp))throw new Error("Invalid integer: "+exp+" is not a valid exponent.");var text=split[0];var decimalPlace=text.indexOf(".");if(decimalPlace>=0){exp-=text.length-decimalPlace-1;text=text.slice(0,decimalPlace)+text.slice(decimalPlace+1)}if(exp<0)throw new Error("Cannot include negative exponent part for integers");text+=new Array(exp+1).join("0");v=text}var isValid=/^([0-9][0-9]*)$/.test(v);if(!isValid)throw new Error("Invalid integer: "+v);if(supportsNativeBigInt){return new NativeBigInt(BigInt(sign?"-"+v:v))}var r=[],max=v.length,l=LOG_BASE,min=max-l;while(max>0){r.push(+v.slice(min,max));min-=l;if(min<0)min=0;max-=l}trim(r);return new BigInteger(r,sign)}function parseNumberValue(v){if(supportsNativeBigInt){return new NativeBigInt(BigInt(v))}if(isPrecise(v)){if(v!==truncate(v))throw new Error(v+" is not an integer.");return new SmallInteger(v)}return parseStringValue(v.toString())}function parseValue(v){if(typeof v==="number"){return parseNumberValue(v)}if(typeof v==="string"){return parseStringValue(v)}if(typeof v==="bigint"){return new NativeBigInt(v)}return v}for(var i=0;i<1e3;i++){Integer[i]=parseValue(i);if(i>0)Integer[-i]=parseValue(-i)}Integer.one=Integer[1];Integer.zero=Integer[0];Integer.minusOne=Integer[-1];Integer.max=max;Integer.min=min;Integer.gcd=gcd;Integer.lcm=lcm;Integer.isInstance=function(x){return x instanceof BigInteger||x instanceof SmallInteger||x instanceof NativeBigInt};Integer.randBetween=randBetween;Integer.fromArray=function(digits,base,isNegative){return parseBaseFromArray(digits.map(parseValue),parseValue(base||10),isNegative)};return Integer}();if(typeof module!=="undefined"&&module.hasOwnProperty("exports")){module.exports=bigInt}if(typeof define==="function"&&define.amd){define(function(){return bigInt})}
{
"name": "big-integer",
"version": "1.6.51",
"version": "1.6.52",
"author": "Peter Olson <peter.e.c.olson+npm@gmail.com>",

@@ -40,4 +40,4 @@ "description": "An arbitrary length integer library for Javascript",

"lodash": "^4.17.21",
"typescript": "^3.6.3",
"uglifyjs": "^2.4.10"
"typescript": "^5.3.2",
"uglify-js": "^3.17.4"
},

@@ -44,0 +44,0 @@ "license": "Unlicense",

@@ -17,5 +17,3 @@ {

],
"types": [
"node"
],
"types": [],
"forceConsistentCasingInFileNames": true

@@ -22,0 +20,0 @@ },

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