From 1879798c2c2b75b0124f91fad6213cd5b51dd330 Mon Sep 17 00:00:00 2001
From: Michael Mclaughlin <M8ch88l@gmail.com>
Date: Sun, 14 Feb 2016 21:18:36 +0000
Subject: [PATCH] v5.0.4

---
 index.html | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/index.html b/index.html
index 2ee8f2d..e5df863 100644
--- a/index.html
+++ b/index.html
@@ -2688,9 +2688,9 @@ z = x.multiply(y)                 // 4.1400000</pre>
     </p>
   </div>
 
-  <script>/* decimal.js v5.0.2 https://github.com/MikeMcl/decimal.js/LICENCE */
-!function(n){"use strict";function e(n){var e,i,t,r=n.length-1,s="",o=n[0];if(r>0){for(s+=o,e=1;r>e;e++)t=n[e]+"",i=Un-t.length,i&&(s+=l(i)),s+=t;o=n[e],t=o+"",i=Un-t.length,i&&(s+=l(i))}else if(0===o)return"0";for(;o%10===0;)o/=10;return s+o}function i(n,e,i){if(n!==~~n||e>n||n>i)throw Error(On+n)}function t(n,e,i,t){var r,s,o,u;for(s=n[0];s>=10;s/=10)--e;return--e<0?(e+=Un,r=0):(r=Math.ceil((e+1)/Un),e%=Un),s=Dn(10,Un-e),u=n[r]%s|0,null==t?3>e?(0==e?u=u/100|0:1==e&&(u=u/10|0),o=4>i&&99999==u||i>3&&49999==u||5e4==u||0==u):o=(4>i&&u+1==s||i>3&&u+1==s/2)&&(n[r+1]/s/100|0)==Dn(10,e-2)-1||(u==s/2||0==u)&&0==(n[r+1]/s/100|0):4>e?(0==e?u=u/1e3|0:1==e?u=u/100|0:2==e&&(u=u/10|0),o=(t||4>i)&&9999==u||!t&&i>3&&4999==u):o=((t||4>i)&&u+1==s||!t&&i>3&&u+1==s/2)&&(n[r+1]/s/1e3|0)==Dn(10,e-3)-1,o}function r(n,e,i){for(var t,r,s=[0],o=0,u=n.length;u>o;){for(r=s.length;r--;)s[r]*=e;for(s[0]+=Nn.indexOf(n.charAt(o++)),t=0;t<s.length;t++)s[t]>i-1&&(void 0===s[t+1]&&(s[t+1]=0),s[t+1]+=s[t]/i|0,s[t]%=i)}return s.reverse()}function s(n,e){var i,t,r=e.d.length;32>r?(i=Math.ceil(r/3),t=Math.pow(4,-i).toString()):(i=16,t="2.3283064365386962890625e-10"),n.precision+=i,e=E(n,1,e.times(t),new n(wn));for(var s=i;s--;){var o=e.times(e);e=o.times(o).minus(o).times(8).plus(wn)}return n.precision-=i,e}function o(n,e,i,t){var r,s,o,u,c,f,h,a,l,d=n.constructor;n:if(null!=e){if(a=n.d,!a)return n;for(r=1,u=a[0];u>=10;u/=10)r++;if(s=e-r,0>s)s+=Un,o=e,h=a[l=0],c=h/Dn(10,r-o-1)%10|0;else if(l=Math.ceil((s+1)/Un),u=a.length,l>=u){if(!t)break n;for(;u++<=l;)a.push(0);h=c=0,r=1,s%=Un,o=s-Un+1}else{for(h=u=a[l],r=1;u>=10;u/=10)r++;s%=Un,o=s-Un+r,c=0>o?0:Fn(h/Dn(10,r-o-1)%10)}if(t=t||0>e||void 0!==a[l+1]||(0>o?h:h%Dn(10,r-o-1)),f=4>i?(c||t)&&(0==i||i==(n.s<0?3:2)):c>5||5==c&&(4==i||t||6==i&&(s>0?o>0?h/Dn(10,r-o):0:a[l-1])%10&1||i==(n.s<0?8:7)),1>e||!a[0])return a.length=0,f?(e-=n.e+1,a[0]=Dn(10,(Un-e%Un)%Un),n.e=-e||0):a[0]=n.e=0,n;if(0==s?(a.length=l,u=1,l--):(a.length=l+1,u=Dn(10,Un-s),a[l]=o>0?(h/Dn(10,r-o)%Dn(10,o)|0)*u:0),f)for(;;){if(0==l){for(s=1,o=a[0];o>=10;o/=10)s++;for(o=a[0]+=u,u=1;o>=10;o/=10)u++;s!=u&&(n.e++,a[0]==Ln&&(a[0]=1));break}if(a[l]+=u,a[l]!=Ln)break;a[l--]=0,u=1}for(s=a.length;0===a[--s];)a.pop()}return yn&&(n.e>d.maxE?(n.d=null,n.e=NaN):n.e<d.minE&&(n.e=0,n.d=[0])),n}function u(n,i,t){if(!n.isFinite())return v(n);var r,s=n.e,o=e(n.d),u=o.length;return i?(t&&(r=t-u)>0?o=o.charAt(0)+"."+o.slice(1)+l(r):u>1&&(o=o.charAt(0)+"."+o.slice(1)),o=o+(n.e<0?"e":"e+")+n.e):0>s?(o="0."+l(-s-1)+o,t&&(r=t-u)>0&&(o+=l(r))):s>=u?(o+=l(s+1-u),t&&(r=t-s-1)>0&&(o=o+"."+l(r))):((r=s+1)<u&&(o=o.slice(0,r)+"."+o.slice(r)),t&&(r=t-u)>0&&(s+1===u&&(o+="."),o+=l(r))),o}function c(n,e){for(var i=1,t=n[0];t>=10;t/=10)i++;return i+e*Un-1}function f(n,e,i){if(e>kn)throw yn=!0,i&&(n.precision=i),Error(qn);return o(new n(xn),e,1,!0)}function h(n,e,i){if(e>Tn)throw Error(qn);return o(new n(bn),e,i,!0)}function a(n){var e=n.length-1,i=e*Un+1;if(e=n[e]){for(;e%10==0;e/=10)i--;for(e=n[0];e>=10;e/=10)i++}return i}function l(n){for(var e="";n--;)e+="0";return e}function d(n,e,i,t){var r,s=new n(wn),o=Math.ceil(t/Un+4);for(yn=!1;;){if(i%2&&(s=s.times(e),A(s.d,o)&&(r=!0)),i=Fn(i/2),0===i){i=s.d.length-1,r&&0===s.d[i]&&++s.d[i];break}e=e.times(e),A(e.d,o)}return yn=!0,s}function g(n){return 1&n.d[n.d.length-1]}function p(n,e,i){for(var t,r=new n(e[0]),s=0;++s<e.length;){if(t=new n(e[s]),!t.s){r=t;break}r[i](t)&&(r=t)}return r}function w(n,i){var r,s,u,c,f,h,a,l=0,d=0,g=0,p=n.constructor,w=p.rounding,m=p.precision;if(!n.d||!n.d[0]||n.e>17)return new p(n.d?n.d[0]?n.s<0?0:1/0:wn:n.s?n.s<0?0:n:NaN);for(null==i?(yn=!1,a=m):a=i,h=new p(.03125);n.e>-2;)n=n.times(h),g+=5;for(s=Math.log(Dn(2,g))/Math.LN10*2+5|0,a+=s,r=c=f=new p(wn),p.precision=a;;){if(c=o(c.times(n),a,1),r=r.times(++d),h=f.plus(In(c,r,a,1)),e(h.d).slice(0,a)===e(f.d).slice(0,a)){for(u=g;u--;)f=o(f.times(f),a,1);if(null!=i)return p.precision=m,f;if(!(3>l&&t(f.d,a-s,w,l)))return o(f,p.precision=m,w,yn=!0);p.precision=a+=10,r=c=h=new p(wn),d=0,l++}f=h}}function m(n,i){var r,s,u,c,h,a,l,d,g,p,w,v=1,N=10,x=n,b=x.d,E=x.constructor,M=E.rounding,y=E.precision;if(x.s<0||!b||!b[0]||!x.e&&1==b[0]&&1==b.length)return new E(b&&!b[0]?-1/0:1!=x.s?NaN:b?0:x);if(null==i?(yn=!1,g=y):g=i,E.precision=g+=N,r=e(b),s=r.charAt(0),!(Math.abs(c=x.e)<15e14))return d=f(E,g+2,y).times(c+""),x=m(new E(s+"."+r.slice(1)),g-N).plus(d),E.precision=y,null==i?o(x,y,M,yn=!0):x;for(;7>s&&1!=s||1==s&&r.charAt(1)>3;)x=x.times(n),r=e(x.d),s=r.charAt(0),v++;for(c=x.e,s>1?(x=new E("0."+r),c++):x=new E(s+"."+r.slice(1)),p=x,l=h=x=In(x.minus(wn),x.plus(wn),g,1),w=o(x.times(x),g,1),u=3;;){if(h=o(h.times(w),g,1),d=l.plus(In(h,new E(u),g,1)),e(d.d).slice(0,g)===e(l.d).slice(0,g)){if(l=l.times(2),0!==c&&(l=l.plus(f(E,g+2,y).times(c+""))),l=In(l,new E(v),g,1),null!=i)return E.precision=y,l;if(!t(l.d,g-N,M,a))return o(l,E.precision=y,M,yn=!0);E.precision=g+=N,d=h=x=In(p.minus(wn),p.plus(wn),g,1),w=o(x.times(x),g,1),u=a=1}l=d,u+=2}}function v(n){return String(n.s*n.s/0)}function N(n,e){var i,t,r;for((i=e.indexOf("."))>-1&&(e=e.replace(".","")),(t=e.search(/e/i))>0?(0>i&&(i=t),i+=+e.slice(t+1),e=e.substring(0,t)):0>i&&(i=e.length),t=0;48===e.charCodeAt(t);t++);for(r=e.length;48===e.charCodeAt(r-1);--r);if(e=e.slice(t,r)){if(r-=t,n.e=i=i-t-1,n.d=[],t=(i+1)%Un,0>i&&(t+=Un),r>t){for(t&&n.d.push(+e.slice(0,t)),r-=Un;r>t;)n.d.push(+e.slice(t,t+=Un));e=e.slice(t),t=Un-e.length}else t-=r;for(;t--;)e+="0";n.d.push(+e),yn&&(n.e>n.constructor.maxE?(n.d=null,n.e=NaN):n.e<n.constructor.minE&&(n.e=0,n.d=[0]))}else n.e=0,n.d=[0];return n}function x(n,e){var i,t,s,o,u,f,h,a,l;if("Infinity"===e||"NaN"===e)return+e||(n.s=NaN),n.e=NaN,n.d=null,n;if(Pn.test(e))i=16,e=e.toLowerCase();else if(Zn.test(e))i=2;else{if(!Rn.test(e))throw Error(On+e);i=8}for(o=e.search(/p/i),o>0?(h=+e.slice(o+1),e=e.substring(2,o)):e=e.slice(2),o=e.indexOf("."),u=o>=0,t=n.constructor,u&&(e=e.replace(".",""),f=e.length,o=f-o,s=d(t,new t(i),o,2*o)),a=r(e,i,Ln),l=a.length-1,o=l;0===a[o];--o)a.pop();return 0>o?new t(0*n.s):(n.e=c(a,l),n.d=a,yn=!1,u&&(n=In(n,s,4*f)),h&&(n=n.times(Math.abs(h)<54?Math.pow(2,h):En.pow(2,h))),yn=!0,n)}function b(n,e){var i,t=e.d.length;if(3>t)return E(n,2,e,e);i=1.4*Math.sqrt(t),i=i>16?16:0|i,e=e.times(Math.pow(5,-i)),e=E(n,2,e,e);for(var r,s=new n(5),o=new n(16),u=new n(20);i--;)r=e.times(e),e=e.times(s.plus(r.times(o.times(r).minus(u))));return e}function E(n,e,i,t,r){var s,o,u,c,f=1,h=n.precision,a=Math.ceil(h/Un);for(yn=!1,c=i.times(i),u=new n(t);;){if(o=In(u.times(c),new n(e++*e++),h,1),u=r?t.plus(o):t.minus(o),t=In(o.times(c),new n(e++*e++),h,1),o=u.plus(t),void 0!==o.d[a]){for(s=a;o.d[s]===u.d[s]&&s--;);if(-1==s)break}s=u,u=t,t=o,o=s,f++}return yn=!0,o.d.length=a+1,o}function M(n,e){var i,t=e.s<0,r=h(n,n.precision,1),s=r.times(pn);if(e=e.abs(),e.lte(s))return gn=t?4:1,e;if(i=e.divToInt(r),i.isZero())gn=t?3:2;else{if(e=e.minus(i.times(r)),e.lte(s))return gn=g(i)?t?2:3:t?4:1,e;gn=g(i)?t?1:4:t?3:2}return e.minus(r).abs()}function y(n,e,t,s){var o,c,f,h,a,l,d,g,p,w=n.constructor,m=void 0!==t;if(m?(i(t,1,vn),void 0===s?s=w.rounding:i(s,0,8)):(t=w.precision,s=w.rounding),n.isFinite()){for(d=u(n),f=d.indexOf("."),m?(o=2,16==e?t=4*t-3:8==e&&(t=3*t-2)):o=e,f>=0&&(d=d.replace(".",""),p=new w(wn),p.e=d.length-f,p.d=r(u(p),10,o),p.e=p.d.length),g=r(d,10,o),c=a=g.length;0==g[--a];)g.pop();if(g[0]){if(0>f?c--:(n=new w(n),n.d=g,n.e=c,n=In(n,p,t,s,0,o),g=n.d,c=n.e,l=ln),f=g[t],h=o/2,l=l||void 0!==g[t+1],l=4>s?(void 0!==f||l)&&(0===s||s===(n.s<0?3:2)):f>h||f===h&&(4===s||l||6===s&&1&g[t-1]||s===(n.s<0?8:7)),g.length=t,l)for(;++g[--t]>o-1;)g[t]=0,t||(++c,g.unshift(1));for(a=g.length;!g[a-1];--a);for(f=0,d="";a>f;f++)d+=Nn.charAt(g[f]);if(m){if(a>1)if(16==e||8==e){for(f=16==e?4:3,--a;a%f;a++)d+="0";for(g=r(d,o,e),a=g.length;!g[a-1];--a);for(f=1,d="1.";a>f;f++)d+=Nn.charAt(g[f])}else d=d.charAt(0)+"."+d.slice(1);d=d+(0>c?"p":"p+")+c}else if(0>c){for(;++c;)d="0"+d;d="0."+d}else if(++c>a)for(c-=a;c--;)d+="0";else a>c&&(d=d.slice(0,c)+"."+d.slice(c))}else d=m?"0p+0":"0";d=(16==e?"0x":2==e?"0b":8==e?"0o":"")+d}else d=v(n);return n.s<0?"-"+d:d}function A(n,e){return n.length>e?(n.length=e,!0):void 0}function O(n){return new this(n).abs()}function q(n){return new this(n).acos()}function F(n){return new this(n).acosh()}function D(n,e){return new this(n).plus(e)}function Z(n){return new this(n).asin()}function P(n){return new this(n).asinh()}function R(n){return new this(n).atan()}function S(n){return new this(n).atanh()}function L(n,e){n=new this(n),e=new this(e);var i,t=this.precision,r=this.rounding,s=t+4;return n.s&&e.s?n.d||e.d?!e.d||n.isZero()?(i=e.s<0?h(this,t,r):new this(0),i.s=n.s):!n.d||e.isZero()?(i=h(this,s,1).times(pn),i.s=n.s):e.s<0?(this.precision=s,this.rounding=1,i=this.atan(In(n,e,s,1)),e=h(this,s,1),this.precision=t,this.rounding=r,i=n.s<0?i.minus(e):i.plus(e)):i=this.atan(In(n,e,s,1)):(i=h(this,s,1).times(e.s>0?.25:.75),i.s=n.s):i=new this(NaN),i}function U(n){return new this(n).cbrt()}function _(n){return o(n=new this(n),n.e+1,2)}function k(n){if(!n||"object"!=typeof n)throw Error(An+"Object expected");var e,i,t,r=["precision",1,vn,"rounding",0,8,"toExpNeg",-mn,0,"toExpPos",0,mn,"maxE",0,mn,"minE",-mn,0,"modulo",0,9];for(e=0;e<r.length;e+=3)if(void 0!==(t=n[i=r[e]])){if(!(Fn(t)===t&&t>=r[e+1]&&t<=r[e+2]))throw Error(On+i+": "+t);this[i]=t}if(n.hasOwnProperty(i="crypto"))if(void 0===(t=n[i]))this[i]=t;else{if(t!==!0&&t!==!1&&0!==t&&1!==t)throw Error(On+i+": "+t);this[i]=!(!t||!Mn||!Mn.getRandomValues&&!Mn.randomBytes)}return this}function T(n){return new this(n).cos()}function C(n){return new this(n).cosh()}function I(n){function e(n){var i,t,r,s=this;if(!(s instanceof e))return new e(n);if(s.constructor=e,n instanceof e)return s.s=n.s,s.e=n.e,void(s.d=(n=n.d)?n.slice():n);if(r=typeof n,"number"===r){if(0===n)return s.s=0>1/n?-1:1,s.e=0,void(s.d=[0]);if(0>n?(n=-n,s.s=-1):s.s=1,n===~~n&&1e7>n){for(i=0,t=n;t>=10;t/=10)i++;return s.e=i,void(s.d=[n])}return 0*n!==0?(n||(s.s=NaN),s.e=NaN,void(s.d=null)):N(s,n.toString())}if("string"!==r)throw Error(On+n);return 45===n.charCodeAt(0)?(n=n.slice(1),s.s=-1):s.s=1,Sn.test(n)?N(s,n):x(s,n)}return e.prototype=Cn,e.ROUND_UP=0,e.ROUND_DOWN=1,e.ROUND_CEIL=2,e.ROUND_FLOOR=3,e.ROUND_HALF_UP=4,e.ROUND_HALF_DOWN=5,e.ROUND_HALF_EVEN=6,e.ROUND_HALF_CEIL=7,e.ROUND_HALF_FLOOR=8,e.EUCLID=9,e.config=k,e.clone=I,e.abs=O,e.acos=q,e.acosh=F,e.add=D,e.asin=Z,e.asinh=P,e.atan=R,e.atanh=S,e.atan2=L,e.cbrt=U,e.ceil=_,e.cos=T,e.cosh=C,e.div=H,e.exp=B,e.floor=V,e.fromJSON=j,e.hypot=$,e.ln=J,e.log=W,e.log10=G,e.log2=z,e.max=K,e.min=Q,e.mod=X,e.mul=Y,e.pow=nn,e.random=en,e.round=tn,e.sign=rn,e.sin=sn,e.sinh=on,e.sqrt=un,e.sub=cn,e.tan=fn,e.tanh=hn,e.trunc=an,void 0===n&&(n=this,n={precision:n.precision,rounding:n.rounding,modulo:n.modulo,toExpNeg:n.toExpNeg,toExpPos:n.toExpPos,minE:n.minE,maxE:n.maxE,crypto:n.crypto}),e.config(n),e}function H(n,e){return new this(n).div(e)}function B(n){return new this(n).exp()}function V(n){return o(n=new this(n),n.e+1,3)}function j(n){var e,i,t,s;if("string"!=typeof n||!n)throw Error(On+n);if(t=n.length,s=Nn.indexOf(n.charAt(0)),1===t)return new this(s>81?[-1/0,1/0,NaN][s-82]:s>40?-(s-41):s);if(64&s)i=16&s,e=i?(7&s)-3:(15&s)-7,t=1;else{if(2===t)return s=88*s+Nn.indexOf(n.charAt(1)),new this(s>=2816?-(s-2816)-41:s+41);if(i=32&s,!(31&s))return n=r(n.slice(1),88,10).join(""),new this(i?"-"+n:n);e=15&s,t=e+1,e=1===e?Nn.indexOf(n.charAt(1)):2===e?88*Nn.indexOf(n.charAt(1))+Nn.indexOf(n.charAt(2)):+r(n.slice(1,t),88,10).join(""),16&s&&(e=-e)}return n=r(n.slice(t),88,10).join(""),e=e-n.length+1,n=n+"e"+e,new this(i?"-"+n:n)}function $(){var n,e,i=new this(0);for(yn=!1,n=0;n<arguments.length;)if(e=new this(arguments[n++]),e.d)i.d&&(i=i.plus(e.times(e)));else{if(e.s)return yn=!0,new this(1/0);i=e}return yn=!0,i.sqrt()}function J(n){return new this(n).ln()}function W(n,e){return new this(n).log(e)}function z(n){return new this(n).log(2)}function G(n){return new this(n).log(10)}function K(){return p(this,arguments,"lt")}function Q(){return p(this,arguments,"gt")}function X(n,e){return new this(n).mod(e)}function Y(n,e){return new this(n).mul(e)}function nn(n,e){return new this(n).pow(e)}function en(n){var e,t,r,s,o=0,u=new this(wn),c=[];if(void 0===n?n=this.precision:i(n,1,vn),r=Math.ceil(n/Un),this.crypto===!1)for(;r>o;)c[o++]=1e7*Math.random()|0;else if(Mn&&Mn.getRandomValues)for(e=Mn.getRandomValues(new Uint32Array(r));r>o;)s=e[o],s>=429e7?e[o]=Mn.getRandomValues(new Uint32Array(1))[0]:c[o++]=s%1e7;else if(Mn&&Mn.randomBytes){for(e=Mn.randomBytes(r*=4);r>o;)s=e[o]+(e[o+1]<<8)+(e[o+2]<<16)+((127&e[o+3])<<24),s>=214e7?Mn.randomBytes(4).copy(e,o):(c.push(s%1e7),o+=4);o=r/4}else{if(this.crypto)throw Error(An+"crypto unavailable");for(;r>o;)c[o++]=1e7*Math.random()|0}for(r=c[--o],n%=Un,r&&n&&(s=Dn(10,Un-n),c[o]=(r/s|0)*s);0===c[o];o--)c.pop();if(0>o)t=0,c=[0];else{for(t=-1;0===c[0];t-=Un)c.shift();for(r=1,s=c[0];s>=10;s/=10)r++;Un>r&&(t-=Un-r)}return u.e=t,u.d=c,u}function tn(n){return o(n=new this(n),n.e+1,this.rounding)}function rn(n){return n=new this(n),n.d?n.d[0]?n.s:0*n.s:n.s||NaN}function sn(n){return new this(n).sin()}function on(n){return new this(n).sinh()}function un(n){return new this(n).sqrt()}function cn(n,e){return new this(n).sub(e)}function fn(n){return new this(n).tan()}function hn(n){return new this(n).tanh()}function an(n){return o(n=new this(n),n.e+1,1)}var ln,dn,gn,pn,wn,mn=9e15,vn=1e9,Nn="0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ!#$%()*+,-./:;=?@[]^_`{|}~",xn="2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058",bn="3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789",En={precision:20,rounding:4,modulo:1,toExpNeg:-7,toExpPos:21,minE:-mn,maxE:mn,crypto:void 0},Mn="undefined"!=typeof crypto?crypto:null,yn=!0,An="[DecimalError] ",On=An+"Invalid argument: ",qn=An+"Precision limit exceeded",Fn=Math.floor,Dn=Math.pow,Zn=/^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i,Pn=/^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i,Rn=/^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i,Sn=/^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,Ln=1e7,Un=7,_n=9007199254740991,kn=xn.length-1,Tn=bn.length-1,Cn={};Cn.absoluteValue=Cn.abs=function(){var n=new this.constructor(this);return n.s<0&&(n.s=1),o(n)},Cn.ceil=function(){return o(new this.constructor(this),this.e+1,2)},Cn.comparedTo=Cn.cmp=function(n){var e,i,t,r,s=this,o=s.d,u=(n=new s.constructor(n)).d,c=s.s,f=n.s;if(!o||!u)return c&&f?c!==f?c:o===u?0:!o^0>c?1:-1:NaN;if(!o[0]||!u[0])return o[0]?c:u[0]?-f:0;if(c!==f)return c;if(s.e!==n.e)return s.e>n.e^0>c?1:-1;for(t=o.length,r=u.length,e=0,i=r>t?t:r;i>e;++e)if(o[e]!==u[e])return o[e]>u[e]^0>c?1:-1;return t===r?0:t>r^0>c?1:-1},Cn.cosine=Cn.cos=function(){var n,e,i=this,t=i.constructor;return i.d?i.d[0]?(n=t.precision,e=t.rounding,t.precision=n+Math.max(i.e,i.sd())+Un,t.rounding=1,i=s(t,M(t,i)),t.precision=n,t.rounding=e,o(2==gn||3==gn?i.neg():i,n,e,!0)):new t(wn):new t(NaN)},Cn.cubeRoot=Cn.cbrt=function(){var n,i,t,r,s,u,c,f,h,a,l=this,d=l.constructor;if(!l.isFinite()||l.isZero())return new d(l);for(yn=!1,u=l.s*Math.pow(l.s*l,1/3),u&&Math.abs(u)!=1/0?r=new d(u.toString()):(t=e(l.d),n=l.e,(u=(n-t.length+1)%3)&&(t+=1==u||-2==u?"0":"00"),u=Math.pow(t,1/3),n=Fn((n+1)/3)-(n%3==(0>n?-1:2)),u==1/0?t="5e"+n:(t=u.toExponential(),t=t.slice(0,t.indexOf("e")+1)+n),r=new d(t),r.s=l.s),c=(n=d.precision)+3;;)if(f=r,h=f.times(f).times(f),a=h.plus(l),r=In(a.plus(l).times(f),a.plus(h),c+2,1),e(f.d).slice(0,c)===(t=e(r.d)).slice(0,c)){if(t=t.slice(c-3,c+1),"9999"!=t&&(s||"4999"!=t)){(!+t||!+t.slice(1)&&"5"==t.charAt(0))&&(o(r,n+1,1),i=!r.times(r).times(r).eq(l));break}if(!s&&(o(f,n+1,0),f.times(f).times(f).eq(l))){r=f;break}c+=4,s=1}return yn=!0,o(r,n,d.rounding,i)},Cn.decimalPlaces=Cn.dp=function(){var n,e=this.d,i=NaN;if(e){if(n=e.length-1,i=(n-Fn(this.e/Un))*Un,n=e[n])for(;n%10==0;n/=10)i--;0>i&&(i=0)}return i},Cn.dividedBy=Cn.div=function(n){return In(this,new this.constructor(n))},Cn.dividedToIntegerBy=Cn.divToInt=function(n){var e=this,i=e.constructor;return o(In(e,new i(n),0,1,1),i.precision,i.rounding)},Cn.equals=Cn.eq=function(n){return 0===this.cmp(n)},Cn.floor=function(){return o(new this.constructor(this),this.e+1,3)},Cn.greaterThan=Cn.gt=function(n){return this.cmp(n)>0},Cn.greaterThanOrEqualTo=Cn.gte=function(n){var e=this.cmp(n);return 1==e||0===e},Cn.hyperbolicCosine=Cn.cosh=function(){var n,e,i,t,r,s=this,u=s.constructor,c=new u(wn);if(!s.isFinite())return new u(s.s?1/0:NaN);if(s.isZero())return c;i=u.precision,t=u.rounding,u.precision=i+Math.max(s.e,s.sd())+4,u.rounding=1,r=s.d.length,32>r?(n=Math.ceil(r/3),e=Math.pow(4,-n).toString()):(n=16,e="2.3283064365386962890625e-10"),s=E(u,1,s.times(e),new u(wn),!0);for(var f,h=n,a=new u(8);h--;)f=s.times(s),s=c.minus(f.times(a.minus(f.times(a))));return o(s,u.precision=i,u.rounding=t,!0)},Cn.hyperbolicSine=Cn.sinh=function(){var n,e,i,t,r=this,s=r.constructor;if(!r.isFinite()||r.isZero())return new s(r);if(e=s.precision,i=s.rounding,s.precision=e+Math.max(r.e,r.sd())+4,s.rounding=1,t=r.d.length,3>t)r=E(s,2,r,r,!0);else{n=1.4*Math.sqrt(t),n=n>16?16:0|n,r=r.times(Math.pow(5,-n)),r=E(s,2,r,r,!0);for(var u,c=new s(5),f=new s(16),h=new s(20);n--;)u=r.times(r),r=r.times(c.plus(u.times(f.times(u).plus(h))))}return s.precision=e,s.rounding=i,o(r,e,i,!0)},Cn.hyperbolicTangent=Cn.tanh=function(){var n,e,i=this,t=i.constructor;return i.isFinite()?i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+7,t.rounding=1,In(i.sinh(),i.cosh(),t.precision=n,t.rounding=e)):new t(i.s)},Cn.inverseCosine=Cn.acos=function(){var n,e=this,i=e.constructor,t=e.abs().cmp(wn),r=i.precision,s=i.rounding;return-1!==t?0===t?e.isNeg()?h(i,r,s):new i(0):new i(NaN):e.isZero()?h(i,r+4,s).times(pn):(i.precision=r+6,i.rounding=1,e=e.asin(),n=h(i,r+4,s).times(pn),i.precision=r,i.rounding=s,n.minus(e))},Cn.inverseHyperbolicCosine=Cn.acosh=function(){var n,e,i=this,t=i.constructor;return i.lte(wn)?new t(i.eq(wn)?0:NaN):i.isFinite()?(n=t.precision,e=t.rounding,t.precision=n+Math.max(Math.abs(i.e),i.sd())+4,t.rounding=1,yn=!1,i=i.times(i).minus(wn).sqrt().plus(i),yn=!0,t.precision=n,t.rounding=e,i.ln()):new t(i)},Cn.inverseHyperbolicSine=Cn.asinh=function(){var n,e,i=this,t=i.constructor;return!i.isFinite()||i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+2*Math.max(Math.abs(i.e),i.sd())+6,t.rounding=1,yn=!1,i=i.times(i).plus(wn).sqrt().plus(i),yn=!0,t.precision=n,t.rounding=e,i.ln())},Cn.inverseHyperbolicTangent=Cn.atanh=function(){var n,e,i,t,r=this,s=r.constructor;return r.isFinite()?r.e>=0?new s(r.abs().eq(wn)?r.s/0:r.isZero()?r:NaN):(n=s.precision,e=s.rounding,t=r.sd(),Math.max(t,n)<2*-r.e-1?o(new s(r),n,e,!0):(s.precision=i=t-r.e,r=In(r.plus(wn),wn.minus(r),i+n,1),s.precision=n+4,s.rounding=1,r=r.ln(),s.precision=n,s.rounding=e,r.times(pn))):new s(NaN)},Cn.inverseSine=Cn.asin=function(){var n,e,i,t,r=this,s=r.constructor;return r.isZero()?new s(r):(e=r.abs().cmp(wn),i=s.precision,t=s.rounding,-1!==e?0===e?(n=h(s,i+4,t).times(pn),n.s=r.s,n):new s(NaN):(s.precision=i+6,s.rounding=1,r=r.div(wn.plus(s.sqrt(wn.minus(r.times(r))))).atan(),s.precision=i,s.rounding=t,r.times(2)))},Cn.inverseTangent=Cn.atan=function(){var n,e,i,t,r,s,u,c,f,a=this,l=a.constructor,d=l.precision,g=l.rounding;if(a.isFinite()){if(a.isZero())return new l(a);if(a.abs().eq(wn)&&Tn>=d+4)return u=h(l,d+4,g).times(.25),u.s=a.s,u}else{if(!a.s)return new l(NaN);if(Tn>=d+4)return u=h(l,d+4,g).times(pn),u.s=a.s,u}for(l.precision=c=d+10,l.rounding=1,i=Math.min(28,c/Un+2|0),n=i;n;--n)a=a.div(a.times(a).plus(wn).sqrt().plus(wn));for(yn=!1,e=Math.ceil(c/Un),t=1,f=a.times(a),u=new l(a),r=a;-1!==n;)if(r=r.times(f),s=u.minus(r.div(t+=2)),r=r.times(f),u=s.plus(r.div(t+=2)),void 0!==u.d[e])for(n=e;u.d[n]===s.d[n]&&n--;);return i&&(u=u.times(2<<i-1)),yn=!0,o(u,l.precision=d,l.rounding=g,!0)},Cn.isFinite=function(){return!!this.d},Cn.isInteger=Cn.isInt=function(){return!!this.d&&Fn(this.e/Un)>this.d.length-2},Cn.isNaN=function(){return!this.s},Cn.isNegative=Cn.isNeg=function(){return this.s<0},Cn.isPositive=Cn.isPos=function(){return this.s>0},Cn.isZero=function(){return!!this.d&&0===this.d[0]},Cn.lessThan=Cn.lt=function(n){return this.cmp(n)<0},Cn.lessThanOrEqualTo=Cn.lte=function(n){return this.cmp(n)<1},Cn.logarithm=Cn.log=function(n){var i,r,s,u,c,h,a,l,d=this,g=d.constructor,p=g.precision,w=g.rounding,v=5;if(null==n)n=new g(10),i=!0;else{if(n=new g(n),r=n.d,n.s<0||!r||!r[0]||n.eq(wn))return new g(NaN);i=n.eq(10)}if(r=d.d,d.s<0||!r||!r[0]||d.eq(wn))return new g(r&&!r[0]?-1/0:1!=d.s?NaN:r?0:1/0);if(i)if(r.length>1)c=!0;else{for(u=r[0];u%10===0;)u/=10;c=1!==u}if(yn=!1,a=p+v,h=m(d,a),s=i?f(g,a+10):m(n,a),l=In(h,s,a,1),t(l.d,u=p,w))do if(a+=10,h=m(d,a),s=i?f(g,a+10):m(n,a),l=In(h,s,a,1),!c){+e(l.d).slice(u+1,u+15)+1==1e14&&(l=o(l,p+1,0));break}while(t(l.d,u+=10,w));return yn=!0,o(l,p,w)},Cn.minus=Cn.sub=function(n){var e,i,t,r,s,u,f,h,a,l,d,g,p=this,w=p.constructor;if(n=new w(n),!p.d||!n.d)return p.s&&n.s?p.d?n.s=-n.s:n=new w(n.d||p.s!==n.s?p:NaN):n=new w(NaN),n;if(p.s!=n.s)return n.s=-n.s,p.plus(n);if(a=p.d,g=n.d,f=w.precision,h=w.rounding,!a[0]||!g[0]){if(g[0])n.s=-n.s;else{if(!a[0])return new w(3===h?-0:0);n=new w(p)}return yn?o(n,f,h):n}if(i=Fn(n.e/Un),l=Fn(p.e/Un),a=a.slice(),s=l-i){for(d=0>s,d?(e=a,s=-s,u=g.length):(e=g,i=l,u=a.length),t=Math.max(Math.ceil(f/Un),u)+2,s>t&&(s=t,e.length=1),e.reverse(),t=s;t--;)e.push(0);e.reverse()}else{for(t=a.length,u=g.length,d=u>t,d&&(u=t),t=0;u>t;t++)if(a[t]!=g[t]){d=a[t]<g[t];break}s=0}for(d&&(e=a,a=g,g=e,n.s=-n.s),u=a.length,t=g.length-u;t>0;--t)a[u++]=0;for(t=g.length;t>s;){if(a[--t]<g[t]){for(r=t;r&&0===a[--r];)a[r]=Ln-1;--a[r],a[t]+=Ln}a[t]-=g[t]}for(;0===a[--u];)a.pop();for(;0===a[0];a.shift())--i;return a[0]?(n.d=a,n.e=c(a,i),yn?o(n,f,h):n):new w(3===h?-0:0)},Cn.modulo=Cn.mod=function(n){var e,i=this,t=i.constructor;return n=new t(n),!i.d||!n.s||n.d&&!n.d[0]?new t(NaN):!n.d||i.d&&!i.d[0]?o(new t(i),t.precision,t.rounding):(yn=!1,9==t.modulo?(e=In(i,n.abs(),0,3,1),e.s*=n.s):e=In(i,n,0,t.modulo,1),e=e.times(n),yn=!0,i.minus(e))},Cn.naturalExponential=Cn.exp=function(){return w(this)},Cn.naturalLogarithm=Cn.ln=function(){return m(this)},Cn.negated=Cn.neg=function(){var n=new this.constructor(this);return n.s=-n.s,o(n)},Cn.plus=Cn.add=function(n){var e,i,t,r,s,u,f,h,a,l,d=this,g=d.constructor;if(n=new g(n),!d.d||!n.d)return d.s&&n.s?d.d||(n=new g(n.d||d.s===n.s?d:NaN)):n=new g(NaN),n;if(d.s!=n.s)return n.s=-n.s,d.minus(n);if(a=d.d,l=n.d,f=g.precision,h=g.rounding,!a[0]||!l[0])return l[0]||(n=new g(d)),yn?o(n,f,h):n;if(s=Fn(d.e/Un),t=Fn(n.e/Un),a=a.slice(),r=s-t){for(0>r?(i=a,r=-r,u=l.length):(i=l,t=s,u=a.length),s=Math.ceil(f/Un),u=s>u?s+1:u+1,r>u&&(r=u,i.length=1),i.reverse();r--;)i.push(0);i.reverse()}for(u=a.length,r=l.length,0>u-r&&(r=u,i=l,l=a,a=i),e=0;r;)e=(a[--r]=a[r]+l[r]+e)/Ln|0,a[r]%=Ln;for(e&&(a.unshift(e),++t),u=a.length;0==a[--u];)a.pop();return n.d=a,n.e=c(a,t),yn?o(n,f,h):n},Cn.precision=Cn.sd=function(n){var e,i=this;if(void 0!==n&&n!==!!n&&1!==n&&0!==n)throw Error(On+n);return i.d?(e=a(i.d),n&&i.e+1>e&&(e=i.e+1)):e=NaN,e},Cn.round=function(){var n=this,e=n.constructor;return o(new e(n),n.e+1,e.rounding)},Cn.sine=Cn.sin=function(){var n,e,i=this,t=i.constructor;return i.isFinite()?i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+Math.max(i.e,i.sd())+Un,t.rounding=1,i=b(t,M(t,i)),t.precision=n,t.rounding=e,o(gn>2?i.neg():i,n,e,!0)):new t(NaN)},Cn.squareRoot=Cn.sqrt=function(){var n,i,t,r,s,u,c=this,f=c.d,h=c.e,a=c.s,l=c.constructor;if(1!==a||!f||!f[0])return new l(!a||0>a&&(!f||f[0])?NaN:f?c:1/0);for(yn=!1,a=Math.sqrt(+c),0==a||a==1/0?(i=e(f),(i.length+h)%2==0&&(i+="0"),a=Math.sqrt(i),h=Fn((h+1)/2)-(0>h||h%2),a==1/0?i="1e"+h:(i=a.toExponential(),i=i.slice(0,i.indexOf("e")+1)+h),r=new l(i)):r=new l(a.toString()),t=(h=l.precision)+3;;)if(u=r,r=u.plus(In(c,u,t+2,1)).times(pn),e(u.d).slice(0,t)===(i=e(r.d)).slice(0,t)){if(i=i.slice(t-3,t+1),"9999"!=i&&(s||"4999"!=i)){(!+i||!+i.slice(1)&&"5"==i.charAt(0))&&(o(r,h+1,1),n=!r.times(r).eq(c));break}if(!s&&(o(u,h+1,0),u.times(u).eq(c))){r=u;break}t+=4,s=1}return yn=!0,o(r,h,l.rounding,n)},Cn.tangent=Cn.tan=function(){var n,e,i=this,t=i.constructor;return i.isFinite()?i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+10,t.rounding=1,i=i.sin(),i.s=1,i=In(i,wn.minus(i.times(i)).sqrt(),n+10,0),t.precision=n,t.rounding=e,o(2==gn||4==gn?i.neg():i,n,e,!0)):new t(NaN)},Cn.times=Cn.mul=function(n){var e,i,t,r,s,u,f,h,a,l=this,d=l.constructor,g=l.d,p=(n=new d(n)).d;if(n.s*=l.s,!(g&&g[0]&&p&&p[0]))return new d(!n.s||g&&!g[0]&&!p||p&&!p[0]&&!g?NaN:g&&p?0*n.s:n.s/0);for(i=Fn(l.e/Un)+Fn(n.e/Un),h=g.length,a=p.length,a>h&&(s=g,g=p,p=s,u=h,h=a,a=u),s=[],u=h+a,t=u;t--;)s.push(0);for(t=a;--t>=0;){for(e=0,r=h+t;r>t;)f=s[r]+p[t]*g[r-t-1]+e,s[r--]=f%Ln|0,e=f/Ln|0;s[r]=(s[r]+e)%Ln|0}for(;!s[--u];)s.pop();for(e?++i:s.shift(),t=s.length;!s[--t];)s.pop();return n.d=s,n.e=c(s,i),yn?o(n,d.precision,d.rounding):n},Cn.toBinary=function(n,e){return y(this,2,n,e)},Cn.toDecimalPlaces=Cn.toDP=function(n,e){var t=this,r=t.constructor;return t=new r(t),void 0===n?t:(i(n,0,vn),void 0===e?e=r.rounding:i(e,0,8),o(t,n+t.e+1,e))},Cn.toExponential=function(n,e){var t,r=this,s=r.constructor;return void 0===n?t=u(r,!0):(i(n,0,vn),void 0===e?e=s.rounding:i(e,0,8),r=o(new s(r),n+1,e),t=u(r,!0,n+1)),r.isNeg()&&!r.isZero()?"-"+t:t},Cn.toFixed=function(n,e){var t,r,s=this,c=s.constructor;return void 0===n?t=u(s):(i(n,0,vn),void 0===e?e=c.rounding:i(e,0,8),r=o(new c(s),n+s.e+1,e),t=u(r,!1,n+r.e+1)),s.isNeg()&&!s.isZero()?"-"+t:t},Cn.toFraction=function(n){var i,t,r,s,o,u,c,f,h,l,d,g,p=this,w=p.d,m=p.constructor;if(!w)return new m(p);if(h=t=new m(wn),r=f=new m(0),i=new m(r),o=i.e=a(w)-p.e-1,u=o%Un,i.d[0]=Dn(10,0>u?Un+u:u),null==n)n=o>0?i:h;else{if(c=new m(n),!c.isInt()||c.lt(h))throw Error(On+c);n=c.gt(i)?o>0?i:h:c}for(yn=!1,c=new m(e(w)),l=m.precision,m.precision=o=w.length*Un*2;d=In(c,i,0,1,1),s=t.plus(d.times(r)),1!=s.cmp(n);)t=r,r=s,s=h,h=f.plus(d.times(s)),f=s,s=i,i=c.minus(d.times(s)),c=s;return s=In(n.minus(t),r,0,1,1),f=f.plus(s.times(h)),t=t.plus(s.times(r)),f.s=h.s=p.s,g=In(h,r,o,1).minus(p).abs().cmp(In(f,t,o,1).minus(p).abs())<1?[h,r]:[f,t],m.precision=l,yn=!0,g},Cn.toHexadecimal=Cn.toHex=function(n,e){return y(this,16,n,e)},Cn.toJSON=function(){var n,i,t,s,o,u,c,f,h=this,a=h.s<0;if(!h.d)return Nn.charAt(h.s?a?82:83:84);if(i=h.e,1===h.d.length&&4>i&&i>=0&&(u=h.d[0],2857>u))return 41>u?Nn.charAt(a?u+41:u):(u-=41,a&&(u+=2816),s=u/88|0,Nn.charAt(s)+Nn.charAt(u-88*s));if(f=e(h.d),c="",!a&&8>=i&&i>=-7)s=64+i+7;else if(a&&4>=i&&i>=-3)s=80+i+3;else if(f.length===i+1)s=32*a;else if(s=32*a+16*(0>i),i=Math.abs(i),88>i)s+=1,c=Nn.charAt(i);else if(7744>i)s+=2,u=i/88|0,c=Nn.charAt(u)+Nn.charAt(i-88*u);else for(n=r(String(i),10,88),o=n.length,s+=o,t=0;o>t;t++)c+=Nn.charAt(n[t]);for(c=Nn.charAt(s)+c,n=r(f,10,88),o=n.length,t=0;o>t;t++)c+=Nn.charAt(n[t]);return c},Cn.toNearest=function(n,e){var t=this,r=t.constructor;if(t=new r(t),null==n){if(!t.d)return t;n=new r(wn),e=r.rounding}else{if(n=new r(n),void 0!==e&&i(e,0,8),!t.d)return n.s?t:n;if(!n.d)return n.s&&(n.s=t.s),n}return n.d[0]?(yn=!1,4>e&&(e=[4,5,7,8][e]),t=In(t,n,0,e,1).times(n),yn=!0,o(t)):(n.s=t.s,t=n),t},Cn.toNumber=function(){return+this},Cn.toOctal=function(n,e){return y(this,8,n,e)},Cn.toPower=Cn.pow=function(n){var i,r,s,u,c,f,h,a=this,l=a.constructor,g=+(n=new l(n));if(!(a.d&&n.d&&a.d[0]&&n.d[0]))return new l(Dn(+a,g));if(a=new l(a),a.eq(wn))return a;if(s=l.precision,c=l.rounding,n.eq(wn))return o(a,s,c);if(i=Fn(n.e/Un),r=n.d.length-1,h=i>=r,f=a.s,h){if((r=0>g?-g:g)<=_n)return u=d(l,a,r,s),n.s<0?new l(wn).div(u):o(u,s,c)}else if(0>f)return new l(NaN);return f=0>f&&1&n.d[Math.max(i,r)]?-1:1,r=Dn(+a,g),i=0!=r&&isFinite(r)?new l(r+"").e:Fn(g*(Math.log("0."+e(a.d))/Math.LN10+a.e+1)),i>l.maxE+1||i<l.minE-1?new l(i>0?f/0:0):(yn=!1,l.rounding=a.s=1,r=Math.min(12,(i+"").length),u=w(n.times(m(a,s+r)),s),u=o(u,s+5,1),t(u.d,s,c)&&(i=s+10,u=o(w(n.times(m(a,i+r)),i),i+5,1),+e(u.d).slice(s+1,s+15)+1==1e14&&(u=o(u,s+1,0))),u.s=f,yn=!0,l.rounding=c,o(u,s,c))},Cn.toPrecision=function(n,e){var t,r=this,s=r.constructor;return void 0===n?t=u(r,r.e<=s.toExpNeg||r.e>=s.toExpPos):(i(n,1,vn),void 0===e?e=s.rounding:i(e,0,8),r=o(new s(r),n,e),t=u(r,n<=r.e||r.e<=s.toExpNeg,n)),r.isNeg()&&!r.isZero()?"-"+t:t},Cn.toSignificantDigits=Cn.toSD=function(n,e){var t=this,r=t.constructor;return void 0===n?(n=r.precision,e=r.rounding):(i(n,1,vn),void 0===e?e=r.rounding:i(e,0,8)),o(new r(t),n,e)},Cn.toString=function(){var n=this,e=n.constructor,i=u(n,n.e<=e.toExpNeg||n.e>=e.toExpPos);return n.isNeg()&&!n.isZero()?"-"+i:i},Cn.truncated=Cn.trunc=function(){return o(new this.constructor(this),this.e+1,1)},Cn.valueOf=function(){var n=this,e=n.constructor,i=u(n,n.e<=e.toExpNeg||n.e>=e.toExpPos);return n.isNeg()?"-"+i:i};var In=function(){function n(n,e,i){var t,r=0,s=n.length;for(n=n.slice();s--;)t=n[s]*e+r,n[s]=t%i|0,r=t/i|0;return r&&n.unshift(r),n}function e(n,e,i,t){var r,s;if(i!=t)s=i>t?1:-1;else for(r=s=0;i>r;r++)if(n[r]!=e[r]){s=n[r]>e[r]?1:-1;break}return s}function i(n,e,i,t){for(var r=0;i--;)n[i]-=r,r=n[i]<e[i]?1:0,n[i]=r*t+n[i]-e[i];for(;!n[0]&&n.length>1;)n.shift()}return function(t,r,s,u,c,f){var h,a,l,d,g,p,w,m,v,N,x,b,E,M,y,A,O,q,F,D,Z=t.constructor,P=t.s==r.s?1:-1,R=t.d,S=r.d;if(!(R&&R[0]&&S&&S[0]))return new Z(t.s&&r.s&&(R?!S||R[0]!=S[0]:S)?R&&0==R[0]||!S?0*P:P/0:NaN);for(f?(g=1,a=t.e-r.e):(f=Ln,g=Un,a=Fn(t.e/g)-Fn(r.e/g)),F=S.length,O=R.length,v=new Z(P),N=v.d=[],l=0;S[l]==(R[l]||0);l++);if(S[l]>(R[l]||0)&&a--,null==s?(M=s=Z.precision,u=Z.rounding):M=c?s+(t.e-r.e)+1:s,0>M)N.push(1),p=!0;else{if(M=M/g+2|0,l=0,1==F){for(d=0,S=S[0],M++;(O>l||d)&&M--;l++)y=d*f+(R[l]||0),N[l]=y/S|0,d=y%S|0;p=d||O>l}else{for(d=f/(S[0]+1)|0,d>1&&(S=n(S,d,f),R=n(R,d,f),F=S.length,O=R.length),A=F,x=R.slice(0,F),b=x.length;F>b;)x[b++]=0;D=S.slice(),D.unshift(0),q=S[0],S[1]>=f/2&&++q;do d=0,h=e(S,x,F,b),0>h?(E=x[0],F!=b&&(E=E*f+(x[1]||0)),d=E/q|0,d>1?(d>=f&&(d=f-1),w=n(S,d,f),m=w.length,b=x.length,h=e(w,x,m,b),1==h&&(d--,i(w,m>F?D:S,m,f))):(0==d&&(h=d=1),
-w=S.slice()),m=w.length,b>m&&w.unshift(0),i(x,w,b,f),-1==h&&(b=x.length,h=e(S,x,F,b),1>h&&(d++,i(x,b>F?D:S,b,f))),b=x.length):0===h&&(d++,x=[0]),N[l++]=d,h&&x[0]?x[b++]=R[A]||0:(x=[R[A]],b=1);while((A++<O||void 0!==x[0])&&M--);p=void 0!==x[0]}N[0]||N.shift()}if(1==g)v.e=a,ln=p;else{for(l=1,d=N[0];d>=10;d/=10)l++;v.e=l+a*g-1,o(v,c?s+v.e+1:s,u,p)}return v}}();if(En=I(En),pn=new En(.5),wn=new En(1),xn=new En(xn),bn=new En(bn),"function"==typeof define&&define.amd)define(function(){return En});else if("undefined"!=typeof module&&module.exports){if(module.exports=En,!Mn)try{Mn=require("crypto")}catch(Hn){}}else n||(n="undefined"!=typeof self&&self&&self.self==self?self:Function("return this")()),dn=n.Decimal,En.noConflict=function(){return n.Decimal=dn,En},n.Decimal=En}(this);
+  <script>/* decimal.js v5.0.4 https://github.com/MikeMcl/decimal.js/LICENCE */
+!function(n){"use strict";function e(n){var e,i,t,r=n.length-1,s="",o=n[0];if(r>0){for(s+=o,e=1;r>e;e++)t=n[e]+"",i=Un-t.length,i&&(s+=l(i)),s+=t;o=n[e],t=o+"",i=Un-t.length,i&&(s+=l(i))}else if(0===o)return"0";for(;o%10===0;)o/=10;return s+o}function i(n,e,i){if(n!==~~n||e>n||n>i)throw Error(On+n)}function t(n,e,i,t){var r,s,o,u;for(s=n[0];s>=10;s/=10)--e;return--e<0?(e+=Un,r=0):(r=Math.ceil((e+1)/Un),e%=Un),s=Dn(10,Un-e),u=n[r]%s|0,null==t?3>e?(0==e?u=u/100|0:1==e&&(u=u/10|0),o=4>i&&99999==u||i>3&&49999==u||5e4==u||0==u):o=(4>i&&u+1==s||i>3&&u+1==s/2)&&(n[r+1]/s/100|0)==Dn(10,e-2)-1||(u==s/2||0==u)&&0==(n[r+1]/s/100|0):4>e?(0==e?u=u/1e3|0:1==e?u=u/100|0:2==e&&(u=u/10|0),o=(t||4>i)&&9999==u||!t&&i>3&&4999==u):o=((t||4>i)&&u+1==s||!t&&i>3&&u+1==s/2)&&(n[r+1]/s/1e3|0)==Dn(10,e-3)-1,o}function r(n,e,i){for(var t,r,s=[0],o=0,u=n.length;u>o;){for(r=s.length;r--;)s[r]*=e;for(s[0]+=Nn.indexOf(n.charAt(o++)),t=0;t<s.length;t++)s[t]>i-1&&(void 0===s[t+1]&&(s[t+1]=0),s[t+1]+=s[t]/i|0,s[t]%=i)}return s.reverse()}function s(n,e){var i,t,r=e.d.length;32>r?(i=Math.ceil(r/3),t=Math.pow(4,-i).toString()):(i=16,t="2.3283064365386962890625e-10"),n.precision+=i,e=E(n,1,e.times(t),new n(wn));for(var s=i;s--;){var o=e.times(e);e=o.times(o).minus(o).times(8).plus(wn)}return n.precision-=i,e}function o(n,e,i,t){var r,s,o,u,c,f,h,a,l,d=n.constructor;n:if(null!=e){if(a=n.d,!a)return n;for(r=1,u=a[0];u>=10;u/=10)r++;if(s=e-r,0>s)s+=Un,o=e,h=a[l=0],c=h/Dn(10,r-o-1)%10|0;else if(l=Math.ceil((s+1)/Un),u=a.length,l>=u){if(!t)break n;for(;u++<=l;)a.push(0);h=c=0,r=1,s%=Un,o=s-Un+1}else{for(h=u=a[l],r=1;u>=10;u/=10)r++;s%=Un,o=s-Un+r,c=0>o?0:Fn(h/Dn(10,r-o-1)%10)}if(t=t||0>e||void 0!==a[l+1]||(0>o?h:h%Dn(10,r-o-1)),f=4>i?(c||t)&&(0==i||i==(n.s<0?3:2)):c>5||5==c&&(4==i||t||6==i&&(s>0?o>0?h/Dn(10,r-o):0:a[l-1])%10&1||i==(n.s<0?8:7)),1>e||!a[0])return a.length=0,f?(e-=n.e+1,a[0]=Dn(10,(Un-e%Un)%Un),n.e=-e||0):a[0]=n.e=0,n;if(0==s?(a.length=l,u=1,l--):(a.length=l+1,u=Dn(10,Un-s),a[l]=o>0?(h/Dn(10,r-o)%Dn(10,o)|0)*u:0),f)for(;;){if(0==l){for(s=1,o=a[0];o>=10;o/=10)s++;for(o=a[0]+=u,u=1;o>=10;o/=10)u++;s!=u&&(n.e++,a[0]==Ln&&(a[0]=1));break}if(a[l]+=u,a[l]!=Ln)break;a[l--]=0,u=1}for(s=a.length;0===a[--s];)a.pop()}return yn&&(n.e>d.maxE?(n.d=null,n.e=NaN):n.e<d.minE&&(n.e=0,n.d=[0])),n}function u(n,i,t){if(!n.isFinite())return v(n);var r,s=n.e,o=e(n.d),u=o.length;return i?(t&&(r=t-u)>0?o=o.charAt(0)+"."+o.slice(1)+l(r):u>1&&(o=o.charAt(0)+"."+o.slice(1)),o=o+(n.e<0?"e":"e+")+n.e):0>s?(o="0."+l(-s-1)+o,t&&(r=t-u)>0&&(o+=l(r))):s>=u?(o+=l(s+1-u),t&&(r=t-s-1)>0&&(o=o+"."+l(r))):((r=s+1)<u&&(o=o.slice(0,r)+"."+o.slice(r)),t&&(r=t-u)>0&&(s+1===u&&(o+="."),o+=l(r))),o}function c(n,e){for(var i=1,t=n[0];t>=10;t/=10)i++;return i+e*Un-1}function f(n,e,i){if(e>kn)throw yn=!0,i&&(n.precision=i),Error(qn);return o(new n(xn),e,1,!0)}function h(n,e,i){if(e>Tn)throw Error(qn);return o(new n(bn),e,i,!0)}function a(n){var e=n.length-1,i=e*Un+1;if(e=n[e]){for(;e%10==0;e/=10)i--;for(e=n[0];e>=10;e/=10)i++}return i}function l(n){for(var e="";n--;)e+="0";return e}function d(n,e,i,t){var r,s=new n(wn),o=Math.ceil(t/Un+4);for(yn=!1;;){if(i%2&&(s=s.times(e),A(s.d,o)&&(r=!0)),i=Fn(i/2),0===i){i=s.d.length-1,r&&0===s.d[i]&&++s.d[i];break}e=e.times(e),A(e.d,o)}return yn=!0,s}function g(n){return 1&n.d[n.d.length-1]}function p(n,e,i){for(var t,r=new n(e[0]),s=0;++s<e.length;){if(t=new n(e[s]),!t.s){r=t;break}r[i](t)&&(r=t)}return r}function w(n,i){var r,s,u,c,f,h,a,l=0,d=0,g=0,p=n.constructor,w=p.rounding,m=p.precision;if(!n.d||!n.d[0]||n.e>17)return new p(n.d?n.d[0]?n.s<0?0:1/0:wn:n.s?n.s<0?0:n:NaN);for(null==i?(yn=!1,a=m):a=i,h=new p(.03125);n.e>-2;)n=n.times(h),g+=5;for(s=Math.log(Dn(2,g))/Math.LN10*2+5|0,a+=s,r=c=f=new p(wn),p.precision=a;;){if(c=o(c.times(n),a,1),r=r.times(++d),h=f.plus(In(c,r,a,1)),e(h.d).slice(0,a)===e(f.d).slice(0,a)){for(u=g;u--;)f=o(f.times(f),a,1);if(null!=i)return p.precision=m,f;if(!(3>l&&t(f.d,a-s,w,l)))return o(f,p.precision=m,w,yn=!0);p.precision=a+=10,r=c=h=new p(wn),d=0,l++}f=h}}function m(n,i){var r,s,u,c,h,a,l,d,g,p,w,v=1,N=10,x=n,b=x.d,E=x.constructor,M=E.rounding,y=E.precision;if(x.s<0||!b||!b[0]||!x.e&&1==b[0]&&1==b.length)return new E(b&&!b[0]?-1/0:1!=x.s?NaN:b?0:x);if(null==i?(yn=!1,g=y):g=i,E.precision=g+=N,r=e(b),s=r.charAt(0),!(Math.abs(c=x.e)<15e14))return d=f(E,g+2,y).times(c+""),x=m(new E(s+"."+r.slice(1)),g-N).plus(d),E.precision=y,null==i?o(x,y,M,yn=!0):x;for(;7>s&&1!=s||1==s&&r.charAt(1)>3;)x=x.times(n),r=e(x.d),s=r.charAt(0),v++;for(c=x.e,s>1?(x=new E("0."+r),c++):x=new E(s+"."+r.slice(1)),p=x,l=h=x=In(x.minus(wn),x.plus(wn),g,1),w=o(x.times(x),g,1),u=3;;){if(h=o(h.times(w),g,1),d=l.plus(In(h,new E(u),g,1)),e(d.d).slice(0,g)===e(l.d).slice(0,g)){if(l=l.times(2),0!==c&&(l=l.plus(f(E,g+2,y).times(c+""))),l=In(l,new E(v),g,1),null!=i)return E.precision=y,l;if(!t(l.d,g-N,M,a))return o(l,E.precision=y,M,yn=!0);E.precision=g+=N,d=h=x=In(p.minus(wn),p.plus(wn),g,1),w=o(x.times(x),g,1),u=a=1}l=d,u+=2}}function v(n){return String(n.s*n.s/0)}function N(n,e){var i,t,r;for((i=e.indexOf("."))>-1&&(e=e.replace(".","")),(t=e.search(/e/i))>0?(0>i&&(i=t),i+=+e.slice(t+1),e=e.substring(0,t)):0>i&&(i=e.length),t=0;48===e.charCodeAt(t);t++);for(r=e.length;48===e.charCodeAt(r-1);--r);if(e=e.slice(t,r)){if(r-=t,n.e=i=i-t-1,n.d=[],t=(i+1)%Un,0>i&&(t+=Un),r>t){for(t&&n.d.push(+e.slice(0,t)),r-=Un;r>t;)n.d.push(+e.slice(t,t+=Un));e=e.slice(t),t=Un-e.length}else t-=r;for(;t--;)e+="0";n.d.push(+e),yn&&(n.e>n.constructor.maxE?(n.d=null,n.e=NaN):n.e<n.constructor.minE&&(n.e=0,n.d=[0]))}else n.e=0,n.d=[0];return n}function x(n,e){var i,t,s,o,u,f,h,a,l;if("Infinity"===e||"NaN"===e)return+e||(n.s=NaN),n.e=NaN,n.d=null,n;if(Pn.test(e))i=16,e=e.toLowerCase();else if(Zn.test(e))i=2;else{if(!Rn.test(e))throw Error(On+e);i=8}for(o=e.search(/p/i),o>0?(h=+e.slice(o+1),e=e.substring(2,o)):e=e.slice(2),o=e.indexOf("."),u=o>=0,t=n.constructor,u&&(e=e.replace(".",""),f=e.length,o=f-o,s=d(t,new t(i),o,2*o)),a=r(e,i,Ln),l=a.length-1,o=l;0===a[o];--o)a.pop();return 0>o?new t(0*n.s):(n.e=c(a,l),n.d=a,yn=!1,u&&(n=In(n,s,4*f)),h&&(n=n.times(Math.abs(h)<54?Math.pow(2,h):En.pow(2,h))),yn=!0,n)}function b(n,e){var i,t=e.d.length;if(3>t)return E(n,2,e,e);i=1.4*Math.sqrt(t),i=i>16?16:0|i,e=e.times(Math.pow(5,-i)),e=E(n,2,e,e);for(var r,s=new n(5),o=new n(16),u=new n(20);i--;)r=e.times(e),e=e.times(s.plus(r.times(o.times(r).minus(u))));return e}function E(n,e,i,t,r){var s,o,u,c,f=1,h=n.precision,a=Math.ceil(h/Un);for(yn=!1,c=i.times(i),u=new n(t);;){if(o=In(u.times(c),new n(e++*e++),h,1),u=r?t.plus(o):t.minus(o),t=In(o.times(c),new n(e++*e++),h,1),o=u.plus(t),void 0!==o.d[a]){for(s=a;o.d[s]===u.d[s]&&s--;);if(-1==s)break}s=u,u=t,t=o,o=s,f++}return yn=!0,o.d.length=a+1,o}function M(n,e){var i,t=e.s<0,r=h(n,n.precision,1),s=r.times(pn);if(e=e.abs(),e.lte(s))return gn=t?4:1,e;if(i=e.divToInt(r),i.isZero())gn=t?3:2;else{if(e=e.minus(i.times(r)),e.lte(s))return gn=g(i)?t?2:3:t?4:1,e;gn=g(i)?t?1:4:t?3:2}return e.minus(r).abs()}function y(n,e,t,s){var o,c,f,h,a,l,d,g,p,w=n.constructor,m=void 0!==t;if(m?(i(t,1,vn),void 0===s?s=w.rounding:i(s,0,8)):(t=w.precision,s=w.rounding),n.isFinite()){for(d=u(n),f=d.indexOf("."),m?(o=2,16==e?t=4*t-3:8==e&&(t=3*t-2)):o=e,f>=0&&(d=d.replace(".",""),p=new w(wn),p.e=d.length-f,p.d=r(u(p),10,o),p.e=p.d.length),g=r(d,10,o),c=a=g.length;0==g[--a];)g.pop();if(g[0]){if(0>f?c--:(n=new w(n),n.d=g,n.e=c,n=In(n,p,t,s,0,o),g=n.d,c=n.e,l=ln),f=g[t],h=o/2,l=l||void 0!==g[t+1],l=4>s?(void 0!==f||l)&&(0===s||s===(n.s<0?3:2)):f>h||f===h&&(4===s||l||6===s&&1&g[t-1]||s===(n.s<0?8:7)),g.length=t,l)for(;++g[--t]>o-1;)g[t]=0,t||(++c,g.unshift(1));for(a=g.length;!g[a-1];--a);for(f=0,d="";a>f;f++)d+=Nn.charAt(g[f]);if(m){if(a>1)if(16==e||8==e){for(f=16==e?4:3,--a;a%f;a++)d+="0";for(g=r(d,o,e),a=g.length;!g[a-1];--a);for(f=1,d="1.";a>f;f++)d+=Nn.charAt(g[f])}else d=d.charAt(0)+"."+d.slice(1);d=d+(0>c?"p":"p+")+c}else if(0>c){for(;++c;)d="0"+d;d="0."+d}else if(++c>a)for(c-=a;c--;)d+="0";else a>c&&(d=d.slice(0,c)+"."+d.slice(c))}else d=m?"0p+0":"0";d=(16==e?"0x":2==e?"0b":8==e?"0o":"")+d}else d=v(n);return n.s<0?"-"+d:d}function A(n,e){return n.length>e?(n.length=e,!0):void 0}function O(n){return new this(n).abs()}function q(n){return new this(n).acos()}function F(n){return new this(n).acosh()}function D(n,e){return new this(n).plus(e)}function Z(n){return new this(n).asin()}function P(n){return new this(n).asinh()}function R(n){return new this(n).atan()}function S(n){return new this(n).atanh()}function L(n,e){n=new this(n),e=new this(e);var i,t=this.precision,r=this.rounding,s=t+4;return n.s&&e.s?n.d||e.d?!e.d||n.isZero()?(i=e.s<0?h(this,t,r):new this(0),i.s=n.s):!n.d||e.isZero()?(i=h(this,s,1).times(pn),i.s=n.s):e.s<0?(this.precision=s,this.rounding=1,i=this.atan(In(n,e,s,1)),e=h(this,s,1),this.precision=t,this.rounding=r,i=n.s<0?i.minus(e):i.plus(e)):i=this.atan(In(n,e,s,1)):(i=h(this,s,1).times(e.s>0?.25:.75),i.s=n.s):i=new this(NaN),i}function U(n){return new this(n).cbrt()}function _(n){return o(n=new this(n),n.e+1,2)}function k(n){if(!n||"object"!=typeof n)throw Error(An+"Object expected");var e,i,t,r=["precision",1,vn,"rounding",0,8,"toExpNeg",-mn,0,"toExpPos",0,mn,"maxE",0,mn,"minE",-mn,0,"modulo",0,9];for(e=0;e<r.length;e+=3)if(void 0!==(t=n[i=r[e]])){if(!(Fn(t)===t&&t>=r[e+1]&&t<=r[e+2]))throw Error(On+i+": "+t);this[i]=t}if(n.hasOwnProperty(i="crypto"))if(void 0===(t=n[i]))this[i]=t;else{if(t!==!0&&t!==!1&&0!==t&&1!==t)throw Error(On+i+": "+t);this[i]=!(!t||!Mn||!Mn.getRandomValues&&!Mn.randomBytes)}return this}function T(n){return new this(n).cos()}function C(n){return new this(n).cosh()}function I(n){function e(n){var i,t,r,s=this;if(!(s instanceof e))return new e(n);if(s.constructor=e,n instanceof e)return s.s=n.s,s.e=n.e,void(s.d=(n=n.d)?n.slice():n);if(r=typeof n,"number"===r){if(0===n)return s.s=0>1/n?-1:1,s.e=0,void(s.d=[0]);if(0>n?(n=-n,s.s=-1):s.s=1,n===~~n&&1e7>n){for(i=0,t=n;t>=10;t/=10)i++;return s.e=i,void(s.d=[n])}return 0*n!==0?(n||(s.s=NaN),s.e=NaN,void(s.d=null)):N(s,n.toString())}if("string"!==r)throw Error(On+n);return 45===n.charCodeAt(0)?(n=n.slice(1),s.s=-1):s.s=1,Sn.test(n)?N(s,n):x(s,n)}var i,t,r;if(e.prototype=Cn,e.ROUND_UP=0,e.ROUND_DOWN=1,e.ROUND_CEIL=2,e.ROUND_FLOOR=3,e.ROUND_HALF_UP=4,e.ROUND_HALF_DOWN=5,e.ROUND_HALF_EVEN=6,e.ROUND_HALF_CEIL=7,e.ROUND_HALF_FLOOR=8,e.EUCLID=9,e.config=k,e.clone=I,e.abs=O,e.acos=q,e.acosh=F,e.add=D,e.asin=Z,e.asinh=P,e.atan=R,e.atanh=S,e.atan2=L,e.cbrt=U,e.ceil=_,e.cos=T,e.cosh=C,e.div=H,e.exp=B,e.floor=V,e.fromJSON=j,e.hypot=$,e.ln=J,e.log=W,e.log10=G,e.log2=z,e.max=K,e.min=Q,e.mod=X,e.mul=Y,e.pow=nn,e.random=en,e.round=tn,e.sign=rn,e.sin=sn,e.sinh=on,e.sqrt=un,e.sub=cn,e.tan=fn,e.tanh=hn,e.trunc=an,void 0===n&&(n={}),n)for(r=["precision","rounding","toExpNeg","toExpPos","maxE","minE","modulo","crypto"],i=0;i<r.length;)n.hasOwnProperty(t=r[i++])||(n[t]=this[t]);return e.config(n),e}function H(n,e){return new this(n).div(e)}function B(n){return new this(n).exp()}function V(n){return o(n=new this(n),n.e+1,3)}function j(n){var e,i,t,s;if("string"!=typeof n||!n)throw Error(On+n);if(t=n.length,s=Nn.indexOf(n.charAt(0)),1===t)return new this(s>81?[-1/0,1/0,NaN][s-82]:s>40?-(s-41):s);if(64&s)i=16&s,e=i?(7&s)-3:(15&s)-7,t=1;else{if(2===t)return s=88*s+Nn.indexOf(n.charAt(1)),new this(s>=2816?-(s-2816)-41:s+41);if(i=32&s,!(31&s))return n=r(n.slice(1),88,10).join(""),new this(i?"-"+n:n);e=15&s,t=e+1,e=1===e?Nn.indexOf(n.charAt(1)):2===e?88*Nn.indexOf(n.charAt(1))+Nn.indexOf(n.charAt(2)):+r(n.slice(1,t),88,10).join(""),16&s&&(e=-e)}return n=r(n.slice(t),88,10).join(""),e=e-n.length+1,n=n+"e"+e,new this(i?"-"+n:n)}function $(){var n,e,i=new this(0);for(yn=!1,n=0;n<arguments.length;)if(e=new this(arguments[n++]),e.d)i.d&&(i=i.plus(e.times(e)));else{if(e.s)return yn=!0,new this(1/0);i=e}return yn=!0,i.sqrt()}function J(n){return new this(n).ln()}function W(n,e){return new this(n).log(e)}function z(n){return new this(n).log(2)}function G(n){return new this(n).log(10)}function K(){return p(this,arguments,"lt")}function Q(){return p(this,arguments,"gt")}function X(n,e){return new this(n).mod(e)}function Y(n,e){return new this(n).mul(e)}function nn(n,e){return new this(n).pow(e)}function en(n){var e,t,r,s,o=0,u=new this(wn),c=[];if(void 0===n?n=this.precision:i(n,1,vn),r=Math.ceil(n/Un),this.crypto===!1)for(;r>o;)c[o++]=1e7*Math.random()|0;else if(Mn&&Mn.getRandomValues)for(e=Mn.getRandomValues(new Uint32Array(r));r>o;)s=e[o],s>=429e7?e[o]=Mn.getRandomValues(new Uint32Array(1))[0]:c[o++]=s%1e7;else if(Mn&&Mn.randomBytes){for(e=Mn.randomBytes(r*=4);r>o;)s=e[o]+(e[o+1]<<8)+(e[o+2]<<16)+((127&e[o+3])<<24),s>=214e7?Mn.randomBytes(4).copy(e,o):(c.push(s%1e7),o+=4);o=r/4}else{if(this.crypto)throw Error(An+"crypto unavailable");for(;r>o;)c[o++]=1e7*Math.random()|0}for(r=c[--o],n%=Un,r&&n&&(s=Dn(10,Un-n),c[o]=(r/s|0)*s);0===c[o];o--)c.pop();if(0>o)t=0,c=[0];else{for(t=-1;0===c[0];t-=Un)c.shift();for(r=1,s=c[0];s>=10;s/=10)r++;Un>r&&(t-=Un-r)}return u.e=t,u.d=c,u}function tn(n){return o(n=new this(n),n.e+1,this.rounding)}function rn(n){return n=new this(n),n.d?n.d[0]?n.s:0*n.s:n.s||NaN}function sn(n){return new this(n).sin()}function on(n){return new this(n).sinh()}function un(n){return new this(n).sqrt()}function cn(n,e){return new this(n).sub(e)}function fn(n){return new this(n).tan()}function hn(n){return new this(n).tanh()}function an(n){return o(n=new this(n),n.e+1,1)}var ln,dn,gn,pn,wn,mn=9e15,vn=1e9,Nn="0123456789abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ!#$%()*+,-./:;=?@[]^_`{|}~",xn="2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221051017141748003688084012647080685567743216228355220114804663715659121373450747856947683463616792101806445070648000277502684916746550586856935673420670581136429224554405758925724208241314695689016758940256776311356919292033376587141660230105703089634572075440370847469940168269282808481184289314848524948644871927809676271275775397027668605952496716674183485704422507197965004714951050492214776567636938662976979522110718264549734772662425709429322582798502585509785265383207606726317164309505995087807523710333101197857547331541421808427543863591778117054309827482385045648019095610299291824318237525357709750539565187697510374970888692180205189339507238539205144634197265287286965110862571492198849978748873771345686209167058",bn="3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632789",En={precision:20,rounding:4,modulo:1,toExpNeg:-7,toExpPos:21,minE:-mn,maxE:mn,crypto:void 0},Mn="undefined"!=typeof crypto?crypto:null,yn=!0,An="[DecimalError] ",On=An+"Invalid argument: ",qn=An+"Precision limit exceeded",Fn=Math.floor,Dn=Math.pow,Zn=/^0b([01]+(\.[01]*)?|\.[01]+)(p[+-]?\d+)?$/i,Pn=/^0x([0-9a-f]+(\.[0-9a-f]*)?|\.[0-9a-f]+)(p[+-]?\d+)?$/i,Rn=/^0o([0-7]+(\.[0-7]*)?|\.[0-7]+)(p[+-]?\d+)?$/i,Sn=/^(\d+(\.\d*)?|\.\d+)(e[+-]?\d+)?$/i,Ln=1e7,Un=7,_n=9007199254740991,kn=xn.length-1,Tn=bn.length-1,Cn={};Cn.absoluteValue=Cn.abs=function(){var n=new this.constructor(this);return n.s<0&&(n.s=1),o(n)},Cn.ceil=function(){return o(new this.constructor(this),this.e+1,2)},Cn.comparedTo=Cn.cmp=function(n){var e,i,t,r,s=this,o=s.d,u=(n=new s.constructor(n)).d,c=s.s,f=n.s;if(!o||!u)return c&&f?c!==f?c:o===u?0:!o^0>c?1:-1:NaN;if(!o[0]||!u[0])return o[0]?c:u[0]?-f:0;if(c!==f)return c;if(s.e!==n.e)return s.e>n.e^0>c?1:-1;for(t=o.length,r=u.length,e=0,i=r>t?t:r;i>e;++e)if(o[e]!==u[e])return o[e]>u[e]^0>c?1:-1;return t===r?0:t>r^0>c?1:-1},Cn.cosine=Cn.cos=function(){var n,e,i=this,t=i.constructor;return i.d?i.d[0]?(n=t.precision,e=t.rounding,t.precision=n+Math.max(i.e,i.sd())+Un,t.rounding=1,i=s(t,M(t,i)),t.precision=n,t.rounding=e,o(2==gn||3==gn?i.neg():i,n,e,!0)):new t(wn):new t(NaN)},Cn.cubeRoot=Cn.cbrt=function(){var n,i,t,r,s,u,c,f,h,a,l=this,d=l.constructor;if(!l.isFinite()||l.isZero())return new d(l);for(yn=!1,u=l.s*Math.pow(l.s*l,1/3),u&&Math.abs(u)!=1/0?r=new d(u.toString()):(t=e(l.d),n=l.e,(u=(n-t.length+1)%3)&&(t+=1==u||-2==u?"0":"00"),u=Math.pow(t,1/3),n=Fn((n+1)/3)-(n%3==(0>n?-1:2)),u==1/0?t="5e"+n:(t=u.toExponential(),t=t.slice(0,t.indexOf("e")+1)+n),r=new d(t),r.s=l.s),c=(n=d.precision)+3;;)if(f=r,h=f.times(f).times(f),a=h.plus(l),r=In(a.plus(l).times(f),a.plus(h),c+2,1),e(f.d).slice(0,c)===(t=e(r.d)).slice(0,c)){if(t=t.slice(c-3,c+1),"9999"!=t&&(s||"4999"!=t)){(!+t||!+t.slice(1)&&"5"==t.charAt(0))&&(o(r,n+1,1),i=!r.times(r).times(r).eq(l));break}if(!s&&(o(f,n+1,0),f.times(f).times(f).eq(l))){r=f;break}c+=4,s=1}return yn=!0,o(r,n,d.rounding,i)},Cn.decimalPlaces=Cn.dp=function(){var n,e=this.d,i=NaN;if(e){if(n=e.length-1,i=(n-Fn(this.e/Un))*Un,n=e[n])for(;n%10==0;n/=10)i--;0>i&&(i=0)}return i},Cn.dividedBy=Cn.div=function(n){return In(this,new this.constructor(n))},Cn.dividedToIntegerBy=Cn.divToInt=function(n){var e=this,i=e.constructor;return o(In(e,new i(n),0,1,1),i.precision,i.rounding)},Cn.equals=Cn.eq=function(n){return 0===this.cmp(n)},Cn.floor=function(){return o(new this.constructor(this),this.e+1,3)},Cn.greaterThan=Cn.gt=function(n){return this.cmp(n)>0},Cn.greaterThanOrEqualTo=Cn.gte=function(n){var e=this.cmp(n);return 1==e||0===e},Cn.hyperbolicCosine=Cn.cosh=function(){var n,e,i,t,r,s=this,u=s.constructor,c=new u(wn);if(!s.isFinite())return new u(s.s?1/0:NaN);if(s.isZero())return c;i=u.precision,t=u.rounding,u.precision=i+Math.max(s.e,s.sd())+4,u.rounding=1,r=s.d.length,32>r?(n=Math.ceil(r/3),e=Math.pow(4,-n).toString()):(n=16,e="2.3283064365386962890625e-10"),s=E(u,1,s.times(e),new u(wn),!0);for(var f,h=n,a=new u(8);h--;)f=s.times(s),s=c.minus(f.times(a.minus(f.times(a))));return o(s,u.precision=i,u.rounding=t,!0)},Cn.hyperbolicSine=Cn.sinh=function(){var n,e,i,t,r=this,s=r.constructor;if(!r.isFinite()||r.isZero())return new s(r);if(e=s.precision,i=s.rounding,s.precision=e+Math.max(r.e,r.sd())+4,s.rounding=1,t=r.d.length,3>t)r=E(s,2,r,r,!0);else{n=1.4*Math.sqrt(t),n=n>16?16:0|n,r=r.times(Math.pow(5,-n)),r=E(s,2,r,r,!0);for(var u,c=new s(5),f=new s(16),h=new s(20);n--;)u=r.times(r),r=r.times(c.plus(u.times(f.times(u).plus(h))))}return s.precision=e,s.rounding=i,o(r,e,i,!0)},Cn.hyperbolicTangent=Cn.tanh=function(){var n,e,i=this,t=i.constructor;return i.isFinite()?i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+7,t.rounding=1,In(i.sinh(),i.cosh(),t.precision=n,t.rounding=e)):new t(i.s)},Cn.inverseCosine=Cn.acos=function(){var n,e=this,i=e.constructor,t=e.abs().cmp(wn),r=i.precision,s=i.rounding;return-1!==t?0===t?e.isNeg()?h(i,r,s):new i(0):new i(NaN):e.isZero()?h(i,r+4,s).times(pn):(i.precision=r+6,i.rounding=1,e=e.asin(),n=h(i,r+4,s).times(pn),i.precision=r,i.rounding=s,n.minus(e))},Cn.inverseHyperbolicCosine=Cn.acosh=function(){var n,e,i=this,t=i.constructor;return i.lte(wn)?new t(i.eq(wn)?0:NaN):i.isFinite()?(n=t.precision,e=t.rounding,t.precision=n+Math.max(Math.abs(i.e),i.sd())+4,t.rounding=1,yn=!1,i=i.times(i).minus(wn).sqrt().plus(i),yn=!0,t.precision=n,t.rounding=e,i.ln()):new t(i)},Cn.inverseHyperbolicSine=Cn.asinh=function(){var n,e,i=this,t=i.constructor;return!i.isFinite()||i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+2*Math.max(Math.abs(i.e),i.sd())+6,t.rounding=1,yn=!1,i=i.times(i).plus(wn).sqrt().plus(i),yn=!0,t.precision=n,t.rounding=e,i.ln())},Cn.inverseHyperbolicTangent=Cn.atanh=function(){var n,e,i,t,r=this,s=r.constructor;return r.isFinite()?r.e>=0?new s(r.abs().eq(wn)?r.s/0:r.isZero()?r:NaN):(n=s.precision,e=s.rounding,t=r.sd(),Math.max(t,n)<2*-r.e-1?o(new s(r),n,e,!0):(s.precision=i=t-r.e,r=In(r.plus(wn),wn.minus(r),i+n,1),s.precision=n+4,s.rounding=1,r=r.ln(),s.precision=n,s.rounding=e,r.times(pn))):new s(NaN)},Cn.inverseSine=Cn.asin=function(){var n,e,i,t,r=this,s=r.constructor;return r.isZero()?new s(r):(e=r.abs().cmp(wn),i=s.precision,t=s.rounding,-1!==e?0===e?(n=h(s,i+4,t).times(pn),n.s=r.s,n):new s(NaN):(s.precision=i+6,s.rounding=1,r=r.div(wn.plus(s.sqrt(wn.minus(r.times(r))))).atan(),s.precision=i,s.rounding=t,r.times(2)))},Cn.inverseTangent=Cn.atan=function(){var n,e,i,t,r,s,u,c,f,a=this,l=a.constructor,d=l.precision,g=l.rounding;if(a.isFinite()){if(a.isZero())return new l(a);if(a.abs().eq(wn)&&Tn>=d+4)return u=h(l,d+4,g).times(.25),u.s=a.s,u}else{if(!a.s)return new l(NaN);if(Tn>=d+4)return u=h(l,d+4,g).times(pn),u.s=a.s,u}for(l.precision=c=d+10,l.rounding=1,i=Math.min(28,c/Un+2|0),n=i;n;--n)a=a.div(a.times(a).plus(wn).sqrt().plus(wn));for(yn=!1,e=Math.ceil(c/Un),t=1,f=a.times(a),u=new l(a),r=a;-1!==n;)if(r=r.times(f),s=u.minus(r.div(t+=2)),r=r.times(f),u=s.plus(r.div(t+=2)),void 0!==u.d[e])for(n=e;u.d[n]===s.d[n]&&n--;);return i&&(u=u.times(2<<i-1)),yn=!0,o(u,l.precision=d,l.rounding=g,!0)},Cn.isFinite=function(){return!!this.d},Cn.isInteger=Cn.isInt=function(){return!!this.d&&Fn(this.e/Un)>this.d.length-2},Cn.isNaN=function(){return!this.s},Cn.isNegative=Cn.isNeg=function(){return this.s<0},Cn.isPositive=Cn.isPos=function(){return this.s>0},Cn.isZero=function(){return!!this.d&&0===this.d[0]},Cn.lessThan=Cn.lt=function(n){return this.cmp(n)<0},Cn.lessThanOrEqualTo=Cn.lte=function(n){return this.cmp(n)<1},Cn.logarithm=Cn.log=function(n){var i,r,s,u,c,h,a,l,d=this,g=d.constructor,p=g.precision,w=g.rounding,v=5;if(null==n)n=new g(10),i=!0;else{if(n=new g(n),r=n.d,n.s<0||!r||!r[0]||n.eq(wn))return new g(NaN);i=n.eq(10)}if(r=d.d,d.s<0||!r||!r[0]||d.eq(wn))return new g(r&&!r[0]?-1/0:1!=d.s?NaN:r?0:1/0);if(i)if(r.length>1)c=!0;else{for(u=r[0];u%10===0;)u/=10;c=1!==u}if(yn=!1,a=p+v,h=m(d,a),s=i?f(g,a+10):m(n,a),l=In(h,s,a,1),t(l.d,u=p,w))do if(a+=10,h=m(d,a),s=i?f(g,a+10):m(n,a),l=In(h,s,a,1),!c){+e(l.d).slice(u+1,u+15)+1==1e14&&(l=o(l,p+1,0));break}while(t(l.d,u+=10,w));return yn=!0,o(l,p,w)},Cn.minus=Cn.sub=function(n){var e,i,t,r,s,u,f,h,a,l,d,g,p=this,w=p.constructor;if(n=new w(n),!p.d||!n.d)return p.s&&n.s?p.d?n.s=-n.s:n=new w(n.d||p.s!==n.s?p:NaN):n=new w(NaN),n;if(p.s!=n.s)return n.s=-n.s,p.plus(n);if(a=p.d,g=n.d,f=w.precision,h=w.rounding,!a[0]||!g[0]){if(g[0])n.s=-n.s;else{if(!a[0])return new w(3===h?-0:0);n=new w(p)}return yn?o(n,f,h):n}if(i=Fn(n.e/Un),l=Fn(p.e/Un),a=a.slice(),s=l-i){for(d=0>s,d?(e=a,s=-s,u=g.length):(e=g,i=l,u=a.length),t=Math.max(Math.ceil(f/Un),u)+2,s>t&&(s=t,e.length=1),e.reverse(),t=s;t--;)e.push(0);e.reverse()}else{for(t=a.length,u=g.length,d=u>t,d&&(u=t),t=0;u>t;t++)if(a[t]!=g[t]){d=a[t]<g[t];break}s=0}for(d&&(e=a,a=g,g=e,n.s=-n.s),u=a.length,t=g.length-u;t>0;--t)a[u++]=0;for(t=g.length;t>s;){if(a[--t]<g[t]){for(r=t;r&&0===a[--r];)a[r]=Ln-1;--a[r],a[t]+=Ln}a[t]-=g[t]}for(;0===a[--u];)a.pop();for(;0===a[0];a.shift())--i;return a[0]?(n.d=a,n.e=c(a,i),yn?o(n,f,h):n):new w(3===h?-0:0)},Cn.modulo=Cn.mod=function(n){var e,i=this,t=i.constructor;return n=new t(n),!i.d||!n.s||n.d&&!n.d[0]?new t(NaN):!n.d||i.d&&!i.d[0]?o(new t(i),t.precision,t.rounding):(yn=!1,9==t.modulo?(e=In(i,n.abs(),0,3,1),e.s*=n.s):e=In(i,n,0,t.modulo,1),e=e.times(n),yn=!0,i.minus(e))},Cn.naturalExponential=Cn.exp=function(){return w(this)},Cn.naturalLogarithm=Cn.ln=function(){return m(this)},Cn.negated=Cn.neg=function(){var n=new this.constructor(this);return n.s=-n.s,o(n)},Cn.plus=Cn.add=function(n){var e,i,t,r,s,u,f,h,a,l,d=this,g=d.constructor;if(n=new g(n),!d.d||!n.d)return d.s&&n.s?d.d||(n=new g(n.d||d.s===n.s?d:NaN)):n=new g(NaN),n;if(d.s!=n.s)return n.s=-n.s,d.minus(n);if(a=d.d,l=n.d,f=g.precision,h=g.rounding,!a[0]||!l[0])return l[0]||(n=new g(d)),yn?o(n,f,h):n;if(s=Fn(d.e/Un),t=Fn(n.e/Un),a=a.slice(),r=s-t){for(0>r?(i=a,r=-r,u=l.length):(i=l,t=s,u=a.length),s=Math.ceil(f/Un),u=s>u?s+1:u+1,r>u&&(r=u,i.length=1),i.reverse();r--;)i.push(0);i.reverse()}for(u=a.length,r=l.length,0>u-r&&(r=u,i=l,l=a,a=i),e=0;r;)e=(a[--r]=a[r]+l[r]+e)/Ln|0,a[r]%=Ln;for(e&&(a.unshift(e),++t),u=a.length;0==a[--u];)a.pop();return n.d=a,n.e=c(a,t),yn?o(n,f,h):n},Cn.precision=Cn.sd=function(n){var e,i=this;if(void 0!==n&&n!==!!n&&1!==n&&0!==n)throw Error(On+n);return i.d?(e=a(i.d),n&&i.e+1>e&&(e=i.e+1)):e=NaN,e},Cn.round=function(){var n=this,e=n.constructor;return o(new e(n),n.e+1,e.rounding)},Cn.sine=Cn.sin=function(){var n,e,i=this,t=i.constructor;return i.isFinite()?i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+Math.max(i.e,i.sd())+Un,t.rounding=1,i=b(t,M(t,i)),t.precision=n,t.rounding=e,o(gn>2?i.neg():i,n,e,!0)):new t(NaN)},Cn.squareRoot=Cn.sqrt=function(){var n,i,t,r,s,u,c=this,f=c.d,h=c.e,a=c.s,l=c.constructor;if(1!==a||!f||!f[0])return new l(!a||0>a&&(!f||f[0])?NaN:f?c:1/0);for(yn=!1,a=Math.sqrt(+c),0==a||a==1/0?(i=e(f),(i.length+h)%2==0&&(i+="0"),a=Math.sqrt(i),h=Fn((h+1)/2)-(0>h||h%2),a==1/0?i="1e"+h:(i=a.toExponential(),i=i.slice(0,i.indexOf("e")+1)+h),r=new l(i)):r=new l(a.toString()),t=(h=l.precision)+3;;)if(u=r,r=u.plus(In(c,u,t+2,1)).times(pn),e(u.d).slice(0,t)===(i=e(r.d)).slice(0,t)){if(i=i.slice(t-3,t+1),"9999"!=i&&(s||"4999"!=i)){(!+i||!+i.slice(1)&&"5"==i.charAt(0))&&(o(r,h+1,1),n=!r.times(r).eq(c));break}if(!s&&(o(u,h+1,0),u.times(u).eq(c))){r=u;break}t+=4,s=1}return yn=!0,o(r,h,l.rounding,n)},Cn.tangent=Cn.tan=function(){var n,e,i=this,t=i.constructor;return i.isFinite()?i.isZero()?new t(i):(n=t.precision,e=t.rounding,t.precision=n+10,t.rounding=1,i=i.sin(),i.s=1,i=In(i,wn.minus(i.times(i)).sqrt(),n+10,0),t.precision=n,t.rounding=e,o(2==gn||4==gn?i.neg():i,n,e,!0)):new t(NaN)},Cn.times=Cn.mul=function(n){var e,i,t,r,s,u,f,h,a,l=this,d=l.constructor,g=l.d,p=(n=new d(n)).d;if(n.s*=l.s,!(g&&g[0]&&p&&p[0]))return new d(!n.s||g&&!g[0]&&!p||p&&!p[0]&&!g?NaN:g&&p?0*n.s:n.s/0);for(i=Fn(l.e/Un)+Fn(n.e/Un),h=g.length,a=p.length,a>h&&(s=g,g=p,p=s,u=h,h=a,a=u),s=[],u=h+a,t=u;t--;)s.push(0);for(t=a;--t>=0;){for(e=0,r=h+t;r>t;)f=s[r]+p[t]*g[r-t-1]+e,s[r--]=f%Ln|0,e=f/Ln|0;s[r]=(s[r]+e)%Ln|0}for(;!s[--u];)s.pop();for(e?++i:s.shift(),t=s.length;!s[--t];)s.pop();return n.d=s,n.e=c(s,i),yn?o(n,d.precision,d.rounding):n},Cn.toBinary=function(n,e){return y(this,2,n,e)},Cn.toDecimalPlaces=Cn.toDP=function(n,e){var t=this,r=t.constructor;return t=new r(t),void 0===n?t:(i(n,0,vn),void 0===e?e=r.rounding:i(e,0,8),o(t,n+t.e+1,e))},Cn.toExponential=function(n,e){var t,r=this,s=r.constructor;return void 0===n?t=u(r,!0):(i(n,0,vn),void 0===e?e=s.rounding:i(e,0,8),r=o(new s(r),n+1,e),t=u(r,!0,n+1)),r.isNeg()&&!r.isZero()?"-"+t:t},Cn.toFixed=function(n,e){var t,r,s=this,c=s.constructor;return void 0===n?t=u(s):(i(n,0,vn),void 0===e?e=c.rounding:i(e,0,8),r=o(new c(s),n+s.e+1,e),t=u(r,!1,n+r.e+1)),s.isNeg()&&!s.isZero()?"-"+t:t},Cn.toFraction=function(n){var i,t,r,s,o,u,c,f,h,l,d,g,p=this,w=p.d,m=p.constructor;if(!w)return new m(p);if(h=t=new m(wn),r=f=new m(0),i=new m(r),o=i.e=a(w)-p.e-1,u=o%Un,i.d[0]=Dn(10,0>u?Un+u:u),null==n)n=o>0?i:h;else{if(c=new m(n),!c.isInt()||c.lt(h))throw Error(On+c);n=c.gt(i)?o>0?i:h:c}for(yn=!1,c=new m(e(w)),l=m.precision,m.precision=o=w.length*Un*2;d=In(c,i,0,1,1),s=t.plus(d.times(r)),1!=s.cmp(n);)t=r,r=s,s=h,h=f.plus(d.times(s)),f=s,s=i,i=c.minus(d.times(s)),c=s;return s=In(n.minus(t),r,0,1,1),f=f.plus(s.times(h)),t=t.plus(s.times(r)),f.s=h.s=p.s,g=In(h,r,o,1).minus(p).abs().cmp(In(f,t,o,1).minus(p).abs())<1?[h,r]:[f,t],m.precision=l,yn=!0,g},Cn.toHexadecimal=Cn.toHex=function(n,e){return y(this,16,n,e)},Cn.toJSON=function(){var n,i,t,s,o,u,c,f,h=this,a=h.s<0;if(!h.d)return Nn.charAt(h.s?a?82:83:84);if(i=h.e,1===h.d.length&&4>i&&i>=0&&(u=h.d[0],2857>u))return 41>u?Nn.charAt(a?u+41:u):(u-=41,a&&(u+=2816),s=u/88|0,Nn.charAt(s)+Nn.charAt(u-88*s));if(f=e(h.d),c="",!a&&8>=i&&i>=-7)s=64+i+7;else if(a&&4>=i&&i>=-3)s=80+i+3;else if(f.length===i+1)s=32*a;else if(s=32*a+16*(0>i),i=Math.abs(i),88>i)s+=1,c=Nn.charAt(i);else if(7744>i)s+=2,u=i/88|0,c=Nn.charAt(u)+Nn.charAt(i-88*u);else for(n=r(String(i),10,88),o=n.length,s+=o,t=0;o>t;t++)c+=Nn.charAt(n[t]);for(c=Nn.charAt(s)+c,n=r(f,10,88),o=n.length,t=0;o>t;t++)c+=Nn.charAt(n[t]);return c},Cn.toNearest=function(n,e){var t=this,r=t.constructor;if(t=new r(t),null==n){if(!t.d)return t;n=new r(wn),e=r.rounding}else{if(n=new r(n),void 0!==e&&i(e,0,8),!t.d)return n.s?t:n;if(!n.d)return n.s&&(n.s=t.s),n}return n.d[0]?(yn=!1,4>e&&(e=[4,5,7,8][e]),t=In(t,n,0,e,1).times(n),yn=!0,o(t)):(n.s=t.s,t=n),t},Cn.toNumber=function(){return+this},Cn.toOctal=function(n,e){return y(this,8,n,e)},Cn.toPower=Cn.pow=function(n){var i,r,s,u,c,f,h,a=this,l=a.constructor,g=+(n=new l(n));if(!(a.d&&n.d&&a.d[0]&&n.d[0]))return new l(Dn(+a,g));if(a=new l(a),a.eq(wn))return a;if(s=l.precision,c=l.rounding,n.eq(wn))return o(a,s,c);if(i=Fn(n.e/Un),r=n.d.length-1,h=i>=r,f=a.s,h){if((r=0>g?-g:g)<=_n)return u=d(l,a,r,s),n.s<0?new l(wn).div(u):o(u,s,c)}else if(0>f)return new l(NaN);return f=0>f&&1&n.d[Math.max(i,r)]?-1:1,r=Dn(+a,g),i=0!=r&&isFinite(r)?new l(r+"").e:Fn(g*(Math.log("0."+e(a.d))/Math.LN10+a.e+1)),i>l.maxE+1||i<l.minE-1?new l(i>0?f/0:0):(yn=!1,l.rounding=a.s=1,r=Math.min(12,(i+"").length),u=w(n.times(m(a,s+r)),s),u=o(u,s+5,1),t(u.d,s,c)&&(i=s+10,u=o(w(n.times(m(a,i+r)),i),i+5,1),+e(u.d).slice(s+1,s+15)+1==1e14&&(u=o(u,s+1,0))),u.s=f,yn=!0,l.rounding=c,o(u,s,c))},Cn.toPrecision=function(n,e){var t,r=this,s=r.constructor;return void 0===n?t=u(r,r.e<=s.toExpNeg||r.e>=s.toExpPos):(i(n,1,vn),void 0===e?e=s.rounding:i(e,0,8),r=o(new s(r),n,e),t=u(r,n<=r.e||r.e<=s.toExpNeg,n)),r.isNeg()&&!r.isZero()?"-"+t:t},Cn.toSignificantDigits=Cn.toSD=function(n,e){var t=this,r=t.constructor;return void 0===n?(n=r.precision,e=r.rounding):(i(n,1,vn),void 0===e?e=r.rounding:i(e,0,8)),o(new r(t),n,e)},Cn.toString=function(){var n=this,e=n.constructor,i=u(n,n.e<=e.toExpNeg||n.e>=e.toExpPos);return n.isNeg()&&!n.isZero()?"-"+i:i},Cn.truncated=Cn.trunc=function(){return o(new this.constructor(this),this.e+1,1)},Cn.valueOf=function(){var n=this,e=n.constructor,i=u(n,n.e<=e.toExpNeg||n.e>=e.toExpPos);return n.isNeg()?"-"+i:i};var In=function(){function n(n,e,i){var t,r=0,s=n.length;for(n=n.slice();s--;)t=n[s]*e+r,n[s]=t%i|0,r=t/i|0;return r&&n.unshift(r),n}function e(n,e,i,t){var r,s;if(i!=t)s=i>t?1:-1;else for(r=s=0;i>r;r++)if(n[r]!=e[r]){s=n[r]>e[r]?1:-1;break}return s}function i(n,e,i,t){for(var r=0;i--;)n[i]-=r,r=n[i]<e[i]?1:0,n[i]=r*t+n[i]-e[i];for(;!n[0]&&n.length>1;)n.shift()}return function(t,r,s,u,c,f){var h,a,l,d,g,p,w,m,v,N,x,b,E,M,y,A,O,q,F,D,Z=t.constructor,P=t.s==r.s?1:-1,R=t.d,S=r.d;if(!(R&&R[0]&&S&&S[0]))return new Z(t.s&&r.s&&(R?!S||R[0]!=S[0]:S)?R&&0==R[0]||!S?0*P:P/0:NaN);for(f?(g=1,a=t.e-r.e):(f=Ln,g=Un,a=Fn(t.e/g)-Fn(r.e/g)),F=S.length,O=R.length,v=new Z(P),N=v.d=[],l=0;S[l]==(R[l]||0);l++);if(S[l]>(R[l]||0)&&a--,null==s?(M=s=Z.precision,u=Z.rounding):M=c?s+(t.e-r.e)+1:s,0>M)N.push(1),p=!0;else{if(M=M/g+2|0,l=0,1==F){for(d=0,S=S[0],M++;(O>l||d)&&M--;l++)y=d*f+(R[l]||0),N[l]=y/S|0,d=y%S|0;p=d||O>l}else{for(d=f/(S[0]+1)|0,d>1&&(S=n(S,d,f),R=n(R,d,f),F=S.length,O=R.length),A=F,x=R.slice(0,F),b=x.length;F>b;)x[b++]=0;D=S.slice(),D.unshift(0),q=S[0],S[1]>=f/2&&++q;do d=0,h=e(S,x,F,b),0>h?(E=x[0],F!=b&&(E=E*f+(x[1]||0)),d=E/q|0,d>1?(d>=f&&(d=f-1),w=n(S,d,f),m=w.length,b=x.length,h=e(w,x,m,b),1==h&&(d--,
+i(w,m>F?D:S,m,f))):(0==d&&(h=d=1),w=S.slice()),m=w.length,b>m&&w.unshift(0),i(x,w,b,f),-1==h&&(b=x.length,h=e(S,x,F,b),1>h&&(d++,i(x,b>F?D:S,b,f))),b=x.length):0===h&&(d++,x=[0]),N[l++]=d,h&&x[0]?x[b++]=R[A]||0:(x=[R[A]],b=1);while((A++<O||void 0!==x[0])&&M--);p=void 0!==x[0]}N[0]||N.shift()}if(1==g)v.e=a,ln=p;else{for(l=1,d=N[0];d>=10;d/=10)l++;v.e=l+a*g-1,o(v,c?s+v.e+1:s,u,p)}return v}}();if(En=I(En),pn=new En(.5),wn=new En(1),xn=new En(xn),bn=new En(bn),"function"==typeof define&&define.amd)define(function(){return En});else if("undefined"!=typeof module&&module.exports){if(module.exports=En,!Mn)try{Mn=require("crypto")}catch(Hn){}}else n||(n="undefined"!=typeof self&&self&&self.self==self?self:Function("return this")()),dn=n.Decimal,En.noConflict=function(){return n.Decimal=dn,En},n.Decimal=En}(this);
   </script>
 
 </body>