var bigInt=function(e){"use strict";function o(e,t){return typeof e=="undefined"?o[0]:typeof t!="undefined"?+t===10?Y(e):$(e,t):Y(e)}function u(e,t){this.value=e,this.sign=t,this.isSmall=!1}function a(e){this.value=e,this.sign=e<0,this.isSmall=!0}function f(e){return-r0?Math.floor(e):Math.ceil(e)}function v(e,n){var r=e.length,i=n.length,s=new Array(r),o=0,u=t,a,f;for(f=0;f=u?1:0,s[f]=a-o*u;while(f0&&s.push(o),s}function m(e,t){return e.length>=t.length?v(e,t):v(t,e)}function g(e,n){var r=e.length,i=new Array(r),s=t,o,u;for(u=0;u0)i[u++]=n%s,n=Math.floor(n/s);return i}function y(e,n){var r=e.length,i=n.length,s=new Array(r),o=0,u=t,a,f;for(a=0;a=0?r=y(e,t):(r=y(t,e),n=!n),r=c(r),typeof r=="number"?(n&&(r=-r),new a(r)):new u(r,n)}function w(e,n,r){var i=e.length,s=new Array(i),o=-n,f=t,l,h;for(l=0;l0)i[a++]=o%s,o=Math.floor(o/s);return i}function x(e,t){var n=[];while(t-->0)n.push(0);return n.concat(e)}function T(e,t){var n=Math.max(e.length,t.length);if(n<=30)return E(e,t);n=Math.ceil(n/2);var r=e.slice(n),i=e.slice(0,n),s=t.slice(n),o=t.slice(0,n),u=T(i,o),a=T(r,s),f=T(m(i,r),m(o,s)),l=m(m(u,x(y(y(f,u),a),n)),x(a,2*n));return h(l),l}function N(e,t){return-0.012*e-.012*t+15e-6*e*t>0}function C(e,n,r){return e=0;d--){h=s-1,f[d+i]!==u&&(h=Math.floor((f[d+i]*s+f[d+i-1])/u)),v=0,m=0,y=l.length;for(g=0;gi&&(l=(l+1)*u),a=Math.ceil(l/h);do{p=S(n,a);if(_(p,o)<=0)break;a--}while(a);s.push(a),o=y(o,p)}return s.reverse(),[c(s),c(o)]}function O(e,n){var r=e.length,i=p(r),s=t,o,u,a,f;a=0;for(o=r-1;o>=0;--o)f=a*s+e[o],u=d(f/n),a=f-u*n,i[o]=u|0;return[i,a|0]}function M(e,n){var r,i=Y(n),s=e.value,f=i.value,h;if(f===0)throw new Error("Cannot divide by zero");if(e.isSmall)return i.isSmall?[new a(d(s/f)),new a(s%f)]:[o[0],e];if(i.isSmall){if(f===1)return[e,o[0]];if(f==-1)return[e.negate(),o[0]];var p=Math.abs(f);if(pt.length?1:-1;for(var n=e.length-1;n>=0;n--)if(e[n]!==t[n])return e[n]>t[n]?1:-1;return 0}function D(e){var t=e.abs();if(t.isUnit())return!1;if(t.equals(2)||t.equals(3)||t.equals(5))return!0;if(t.isEven()||t.isDivisibleBy(3)||t.isDivisibleBy(5))return!1;if(t.lesser(25))return!0}function j(e){return(typeof e=="number"||typeof e=="string")&&+Math.abs(e)<=t||e instanceof u&&e.value.length<=1}function F(e,t,n){t=Y(t);var r=e.isNegative(),i=t.isNegative(),s=r?e.not():e,o=i?t.not():t,u=[],a=[],f=!1,l=!1;while(!f||!l)s.isZero()?(f=!0,u.push(r?1:0)):r?u.push(s.isEven()?1:0):u.push(s.isEven()?0:1),o.isZero()?(l=!0,a.push(i?1:0)):i?a.push(o.isEven()?1:0):a.push(o.isEven()?0:1),s=s.over(2),o=o.over(2);var c=[];for(var h=0;h=0;h--){var p=l?s.value[h]:t,v=d(Math.random()*p);f.unshift(v),v"}function K(e,t){t=bigInt(t);if(t.isZero()){if(e.isZero())return"0";throw new Error("Cannot convert nonzero numbers to base 0.")}if(t.equals(-1))return e.isZero()?"0":e.isNegative()?(new Array(1-e)).join("10"):"1"+(new Array(+e)).join("01");var n="";e.isNegative()&&t.isPositive()&&(n="-",e=e.abs());if(t.equals(1))return e.isZero()?"0":n+(new Array(+e+1)).join(1);var r=[],i=e,s;while(i.isNegative()||i.compareAbs(t)>=0){s=i.divmod(t),i=s.quotient;var o=s.remainder;o.isNegative()&&(o=t.minus(o).abs(),i=i.next()),r.push(J(o))}return r.push(J(i)),n+r.reverse().join("")}function Q(e){if(f(+e)){var t=+e;if(t===d(t))return new a(t);throw"Invalid integer: "+e}var r=e[0]==="-";r&&(e=e.slice(1));var i=e.split(/e/i);if(i.length>2)throw new Error("Invalid integer: "+i.join("e"));if(i.length===2){var s=i[1];s[0]==="+"&&(s=s.slice(1)),s=+s;if(s!==d(s)||!f(s))throw new Error("Invalid integer: "+s+" is not a valid exponent.");var o=i[0],l=o.indexOf(".");l>=0&&(s-=o.length-l-1,o=o.slice(0,l)+o.slice(l+1));if(s<0)throw new Error("Cannot include negative exponent part for integers");o+=(new Array(s+1)).join("0"),e=o}var c=/^([0-9][0-9]*)$/.test(e);if(!c)throw new Error("Invalid integer: "+e);var p=[],v=e.length,m=n,g=v-m;while(v>0)p.push(+e.slice(g,v)),g-=m,g<0&&(g=0),v-=m;return h(p),new u(p,r)}function G(e){if(f(e)){if(e!==d(e))throw new Error(e+" is not an integer.");return new a(e)}return Q(e.toString())}function Y(e){return typeof e=="number"?G(e):typeof e=="string"?Q(e):e}var t=1e7,n=7,r=9007199254740992,i=l(r),s=Math.log(r);u.prototype=Object.create(o.prototype),a.prototype=Object.create(o.prototype),u.prototype.add=function(e){var t,n=Y(e);if(this.sign!==n.sign)return this.subtract(n.negate());var r=this.value,i=n.value;return n.isSmall?new u(g(r,Math.abs(i)),this.sign):new u(m(r,i),this.sign)},u.prototype.plus=u.prototype.add,a.prototype.add=function(e){var t=Y(e),n=this.value;if(n<0!==t.sign)return this.subtract(t.negate());var r=t.value;if(t.isSmall){if(f(n+r))return new a(n+r);r=l(Math.abs(r))}return new u(g(r,Math.abs(n)),n<0)},a.prototype.plus=a.prototype.add,u.prototype.subtract=function(e){var t=Y(e);if(this.sign!==t.sign)return this.add(t.negate());var n=this.value,r=t.value;return t.isSmall?w(n,Math.abs(r),this.sign):b(n,r,this.sign)},u.prototype.minus=u.prototype.subtract,a.prototype.subtract=function(e){var t=Y(e),n=this.value;if(n<0!==t.sign)return this.add(t.negate());var r=t.value;return t.isSmall?new a(n-r):w(r,Math.abs(n),n>=0)},a.prototype.minus=a.prototype.subtract,u.prototype.negate=function(){return new u(this.value,!this.sign)},a.prototype.negate=function(){var e=this.sign,t=new a(-this.value);return t.sign=!e,t},u.prototype.abs=function(){return new u(this.value,!1)},a.prototype.abs=function(){return new a(Math.abs(this.value))},u.prototype.multiply=function(e){var n,r=Y(e),i=this.value,s=r.value,a=this.sign!==r.sign,f;if(r.isSmall){if(s===0)return o[0];if(s===1)return this;if(s===-1)return this.negate();f=Math.abs(s);if(fr?1:-1):-1},u.prototype.compare=function(e){if(e===Infinity)return-1;if(e===-Infinity)return 1;var t=Y(e),n=this.value,r=t.value;return this.sign!==t.sign?t.sign?1:-1:t.isSmall?this.sign?-1:1:_(n,r)*(this.sign?-1:1)},u.prototype.compareTo=u.prototype.compare,a.prototype.compare=function(e){if(e===Infinity)return-1;if(e===-Infinity)return 1;var t=Y(e),n=this.value,r=t.value;return t.isSmall?n==r?0:n>r?1:-1:n<0!==t.sign?n<0?-1:1:n<0?1:-1},a.prototype.compareTo=a.prototype.compare,u.prototype.equals=function(e){return this.compare(e)===0},a.prototype.eq=a.prototype.equals=u.prototype.eq=u.prototype.equals,u.prototype.notEquals=function(e){return this.compare(e)!==0},a.prototype.neq=a.prototype.notEquals=u.prototype.neq=u.prototype.notEquals,u.prototype.greater=function(e){return this.compare(e)>0},a.prototype.gt=a.prototype.greater=u.prototype.gt=u.prototype.greater,u.prototype.lesser=function(e){return this.compare(e)<0},a.prototype.lt=a.prototype.lesser=u.prototype.lt=u.prototype.lesser,u.prototype.greaterOrEquals=function(e){return this.compare(e)>=0},a.prototype.geq=a.prototype.greaterOrEquals=u.prototype.geq=u.prototype.greaterOrEquals,u.prototype.lesserOrEquals=function(e){return this.compare(e)<=0},a.prototype.leq=a.prototype.lesserOrEquals=u.prototype.leq=u.prototype.lesserOrEquals,u.prototype.isEven=function(){return(this.value[0]&1)===0},a.prototype.isEven=function(){return(this.value&1)===0},u.prototype.isOdd=function(){return(this.value[0]&1)===1},a.prototype.isOdd=function(){return(this.value&1)===1},u.prototype.isPositive=function(){return!this.sign},a.prototype.isPositive=function(){return this.value>0},u.prototype.isNegative=function(){return this.sign},a.prototype.isNegative=function(){return this.value<0},u.prototype.isUnit=function(){return!1},a.prototype.isUnit=function(){return Math.abs(this.value)===1},u.prototype.isZero=function(){return!1},a.prototype.isZero=function(){return this.value===0},u.prototype.isDivisibleBy=function(e){var t=Y(e),n=t.value;return n===0?!1:n===1?!0:n===2?this.isEven():this.mod(t).equals(o[0])},a.prototype.isDivisibleBy=u.prototype.isDivisibleBy,u.prototype.isPrime=function(){var t=D(this);if(t!==e)return t;var n=this.abs(),r=n.prev(),i=[2,3,5,7,11,13,17,19],s=r,u,a,f,l;while(s.isEven())s=s.divide(2);for(f=0;f-r?new a(e-1):new u(i,!0)};var P=[1];while(P[P.length-1]<=t)P.push(2*P[P.length-1]);var H=P.length,B=P[H-1];u.prototype.shiftLeft=function(e){if(!j(e))throw new Error(String(e)+" is too large for shifting.");e=+e;if(e<0)return this.shiftRight(-e);var t=this;while(e>=H)t=t.multiply(B),e-=H-1;return t.multiply(P[e])},a.prototype.shiftLeft=u.prototype.shiftLeft,u.prototype.shiftRight=function(e){var t;if(!j(e))throw new Error(String(e)+" is too large for shifting.");e=+e;if(e<0)return this.shiftLeft(-e);var n=this;while(e>=H){if(n.isZero())return n;t=M(n,B),n=t[1].isNegative()?t[0].prev():t[0],e-=H-1}return t=M(n,P[e]),t[1].isNegative()?t[0].prev():t[0]},a.prototype.shiftRight=u.prototype.shiftRight,u.prototype.not=function(){return this.negate().prev()},a.prototype.not=u.prototype.not,u.prototype.and=function(e){return F(this,e,function(e,t){return e&t})},a.prototype.and=u.prototype.and,u.prototype.or=function(e){return F(this,e,function(e,t){return e|t})},a.prototype.or=u.prototype.or,u.prototype.xor=function(e){return F(this,e,function(e,t){return e^t})},a.prototype.xor=u.prototype.xor;var I=1<<30,q=(t&-t)*(t&-t)|I,$=function(e,t){var n=o[0],r=o[1],i=e.length;if(2<=t&&t<=36&&i<=s/Math.log(t))return new a(parseInt(e,t));t=Y(t);var u=[],f,l=e[0]==="-";for(f=l?1:0;f");u.push(Y(e.slice(p+1,f)))}}u.reverse();for(f=0;f=0)o=String(n[r]),i+=s.slice(o.length)+o;var u=this.sign?"-":"";return u+i},a.prototype.toString=function(t){return t===e&&(t=10),t!=10?K(this,t):String(this.value)},u.prototype.valueOf=function(){return+this.toString()},u.prototype.toJSNumber=u.prototype.valueOf,a.prototype.valueOf=function(){return this.value},a.prototype.toJSNumber=a.prototype.valueOf;for(var Z=0;Z<1e3;Z++)o[Z]=new a(Z),Z>0&&(o[-Z]=new a(-Z));return o.one=o[1],o.zero=o[0],o.minusOne=o[-1],o.max=U,o.min=z,o.gcd=W,o.lcm=X,o.isInstance=function(e){return e instanceof u||e instanceof a},o.randBetween=V,o}();typeof module!="undefined"&&module.hasOwnProperty("exports")&&(module.exports=bigInt);