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s=0;s<100;++s){if(i=(e*Math.exp(-n)+n*n)/(n+1),Math.abs(i-n)<t*Math.abs(i))return i;n=i}throw Error(`Iteration failed to converge: ${e.toString()}`)};function ii(e,t=1e-10){let n,i,s,l;if(!Number.isFinite(e.mag)||e===a.dZero)return e;if(e===a.dOne)return p(di);a.abs(e),n=a.ln(e);for(let o=0;o<100;++o){if(i=a.exp(-n),s=n.sub(e.mul(i)),l=n.sub(s.div(n.add(1).sub(n.add(2).mul(s).div(a.mul(2,n).add(2))))),a.abs(l.sub(n)).lt(a.abs(l).mul(t)))return l;n=l}throw Error(`Iteration failed to converge: ${e.toString()}`)}const N=class{constructor(e){this.sign=Number.NaN,this.mag=Number.NaN,this.layer=Number.NaN,e instanceof N||e!=null&&typeof e=="object"&&"sign"in e&&"mag"in e&&"layer"in e?this.fromDecimal(e):typeof e=="number"?this.fromNumber(e):typeof e=="string"?this.fromString(e):(this.sign=0,this.layer=0,this.mag=0)}get m(){if(this.sign===0)return 0;if(this.layer===0){const e=Math.floor(Math.log10(this.mag));let t;return this.mag===5e-324?t=5:t=this.mag/qs(e),this.sign*t}else if(this.layer===1){const e=this.mag-Math.floor(this.mag);return this.sign*Math.pow(10,e)}else return this.sign}set m(e){this.layer<=2?this.fromMantissaExponent(e,this.e):(this.sign=Math.sign(e),this.sign===0&&(this.layer,this.exponent))}get e(){return this.sign===0?0:this.layer===0?Math.floor(Math.log10(this.mag)):this.layer===1?Math.floor(this.mag):this.layer===2?Math.floor(Math.sign(this.mag)*Math.pow(10,Math.abs(this.mag))):this.mag*Number.POSITIVE_INFINITY}set e(e){this.fromMantissaExponent(this.m,e)}get s(){return this.sign}set s(e){e===0?(this.sign=0,this.layer=0,this.mag=0):this.sign=e}get mantissa(){return this.m}set mantissa(e){this.m=e}get exponent(){return this.e}set exponent(e){this.e=e}static fromComponents(e,t,n){return new N().fromComponents(e,t,n)}static fromComponents_noNormalize(e,t,n){return new N().fromComponents_noNormalize(e,t,n)}static fromMantissaExponent(e,t){return new N().fromMantissaExponent(e,t)}static fromMantissaExponent_noNormalize(e,t){return new N().fromMantissaExponent_noNormalize(e,t)}static fromDecimal(e){return new N().fromDecimal(e)}static fromNumber(e){return new N().fromNumber(e)}static fromString(e){return new N().fromString(e)}static fromValue(e){return new N().fromValue(e)}static fromValue_noAlloc(e){return e instanceof N?e:new N(e)}static abs(e){return p(e).abs()}static neg(e){return p(e).neg()}static negate(e){return p(e).neg()}static negated(e){return p(e).neg()}static sign(e){return p(e).sign}static sgn(e){return p(e).sign}static round(e){return p(e).round()}static floor(e){return p(e).floor()}static ceil(e){return p(e).ceil()}static trunc(e){return p(e).trunc()}static add(e,t){return p(e).add(t)}static plus(e,t){return p(e).add(t)}static sub(e,t){return p(e).sub(t)}static subtract(e,t){return p(e).sub(t)}static minus(e,t){return p(e).sub(t)}static mul(e,t){return p(e).mul(t)}static multiply(e,t){return p(e).mul(t)}static times(e,t){return p(e).mul(t)}static div(e,t){return p(e).div(t)}static divide(e,t){return p(e).div(t)}static recip(e){return p(e).recip()}static reciprocal(e){return p(e).recip()}static reciprocate(e){return p(e).reciprocate()}static cmp(e,t){return p(e).cmp(t)}static cmpabs(e,t){return p(e).cmpabs(t)}static compare(e,t){return p(e).cmp(t)}static isNaN(e){return e=p(e),isNaN(e.sign)||isNaN(e.layer)||isNaN(e.mag)}static isFinite(e){return e=p(e),isFinite(e.sign)&&isFinite(e.layer)&&isFinite(e.mag)}static eq(e,t){return p(e).eq(t)}static equals(e,t){return p(e).eq(t)}static neq(e,t){return p(e).neq(t)}static notEquals(e,t){return p(e).notEquals(t)}static lt(e,t){return p(e).lt(t)}static lte(e,t){return p(e).lte(t)}static gt(e,t){return p(e).gt(t)}static gte(e,t){return p(e).gte(t)}static max(e,t){return p(e).max(t)}static min(e,t){return p(e).min(t)}static minabs(e,t){return p(e).minabs(t)}static maxabs(e,t){return p(e).maxabs(t)}static clamp(e,t,n){return p(e).clamp(t,n)}static clampMin(e,t){return p(e).clampMin(t)}static clampMax(e,t){return p(e).clampMax(t)}static cmp_tolerance(e,t,n){return p(e).cmp_tolerance(t,n)}static compare_tolerance(e,t,n){return p(e).cmp_tolerance(t,n)}static eq_tolerance(e,t,n){return p(e).eq_tolerance(t,n)}static equals_tolerance(e,t,n){return p(e).eq_tolerance(t,n)}static neq_tolerance(e,t,n){return p(e).neq_tolerance(t,n)}static notEquals_tolerance(e,t,n){return p(e).notEquals_tolerance(t,n)}static lt_tolerance(e,t,n){return p(e).lt_tolerance(t,n)}static lte_tolerance(e,t,n){return p(e).lte_tolerance(t,n)}static gt_tolerance(e,t,n){return p(e).gt_tolerance(t,n)}static gte_tolerance(e,t,n){return p(e).gte_tolerance(t,n)}static pLog10(e){return p(e).pLog10()}static absLog10(e){return p(e).absLog10()}static log10(e){return p(e).log10()}static log(e,t){return p(e).log(t)}static log2(e){return p(e).log2()}static ln(e){return p(e).ln()}static logarithm(e,t){return p(e).logarithm(t)}static pow(e,t){return p(e).pow(t)}static pow10(e){return p(e).pow10()}static root(e,t){return p(e).root(t)}static factorial(e,t){return p(e).factorial()}static gamma(e,t){return p(e).gamma()}static lngamma(e,t){return p(e).lngamma()}static exp(e){return p(e).exp()}static sqr(e){return p(e).sqr()}static sqrt(e){return p(e).sqrt()}static cube(e){return p(e).cube()}static cbrt(e){return p(e).cbrt()}static tetrate(e,t=2,n=H(1,0,1)){return p(e).tetrate(t,n)}static iteratedexp(e,t=2,n=H(1,0,1)){return p(e).iteratedexp(t,n)}static iteratedlog(e,t=10,n=1){return p(e).iteratedlog(t,n)}static layeradd10(e,t){return p(e).layeradd10(t)}static layeradd(e,t,n=10){return p(e).layeradd(t,n)}static slog(e,t=10){return p(e).slog(t)}static lambertw(e){return p(e).lambertw()}static ssqrt(e){return p(e).ssqrt()}static pentate(e,t=2,n=H(1,0,1)){return p(e).pentate(t,n)}static affordGeometricSeries(e,t,n,i){return this.affordGeometricSeries_core(p(e),p(t),p(n),i)}static sumGeometricSeries(e,t,n,i){return this.sumGeometricSeries_core(e,p(t),p(n),i)}static affordArithmeticSeries(e,t,n,i){return 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sumArithmeticSeries_core(e,t,n,i){const s=t.add(i.mul(n));return e.div(2).mul(s.mul(2).plus(e.sub(1).mul(n)))}static efficiencyOfPurchase_core(e,t,n){return e.div(t).add(e.div(n))}normalize(){if(this.sign===0||this.mag===0&&this.layer===0)return this.sign=0,this.mag=0,this.layer=0,this;if(this.layer===0&&this.mag<0&&(this.mag=-this.mag,this.sign=-this.sign),this.layer===0&&this.mag<Ds)return this.layer+=1,this.mag=Math.log10(this.mag),this;let e=Math.abs(this.mag),t=Math.sign(this.mag);if(e>=Fs)return this.layer+=1,this.mag=t*Math.log10(e),this;for(;e<Bs&&this.layer>0;)this.layer-=1,this.layer===0?this.mag=Math.pow(10,this.mag):(this.mag=t*Math.pow(10,e),e=Math.abs(this.mag),t=Math.sign(this.mag));return this.layer===0&&(this.mag<0?(this.mag=-this.mag,this.sign=-this.sign):this.mag===0&&(this.sign=0)),this}fromComponents(e,t,n){return this.sign=e,this.layer=t,this.mag=n,this.normalize(),this}fromComponents_noNormalize(e,t,n){return 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s=this.toNumber();if(s<=1.444667861009766&&s>=.06598803584531254){if(s>1.444667861009099)return new N(Math.E);const l=N.ln(this).neg();return l.lambertw().div(l)}else return s>1.444667861009766?new N(Number.POSITIVE_INFINITY):N.dNaN}if(this.eq(N.dZero)){let s=Math.abs((e+1)%2);return s>1&&(s=2-s),new N(s)}if(e<0)return N.iteratedlog(t,this,-e);t=p(t);const n=e;e=Math.trunc(e);const i=n-e;if(this.gt(N.dZero)&&this.lte(1.444667861009766)){e=Math.min(1e4,e);for(let s=0;s<e;++s){const l=t;if(t=this.pow(t),l.eq(t))return t}if(i!=0){const s=this.pow(t);return t.mul(1-i).add(s.mul(i))}return t}i!==0&&(t.eq(N.dOne)?this.gt(10)?t=this.pow(i):(t=p(N.tetrate_critical(this.toNumber(),i)),this.lt(2)&&(t=t.sub(1).mul(this.minus(1)).plus(1))):this.eq(10)?t=t.layeradd10(i):t=t.layeradd(i,this));for(let s=0;s<e;++s){if(t=this.pow(t),!isFinite(t.layer)||!isFinite(t.mag))return t.normalize();if(t.layer-this.layer>3)return H(t.sign,t.layer+(e-s-1),t.mag);if(s>1e4)return t}return t}iteratedexp(e=2,t=H(1,0,1)){return this.tetrate(e,t)}iteratedlog(e=10,t=1){if(t<0)return N.tetrate(e,-t,this);e=p(e);let n=p(this);const i=t;t=Math.trunc(t);const s=i-t;if(n.layer-e.layer>3){const l=Math.min(t,n.layer-e.layer-3);t-=l,n.layer-=l}for(let l=0;l<t;++l){if(n=n.log(e),!isFinite(n.layer)||!isFinite(n.mag))return n.normalize();if(l>1e4)return n}return s>0&&s<1&&(e.eq(10)?n=n.layeradd10(-s):n=n.layeradd(-s,e)),n}slog(e=10){if(e=p(e),e.lte(N.dZero)||e.eq(N.dOne))return N.dNaN;if(e.lt(N.dOne))return this.eq(N.dOne)?N.dZero:this.eq(N.dZero)?N.dNegOne:N.dNaN;if(this.mag<0||this.eq(N.dZero))return N.dNegOne;let t=0,n=p(this);if(n.layer-e.layer>3){const i=n.layer-e.layer-3;t+=i,n.layer-=i}for(let i=0;i<100;++i)if(n.lt(N.dZero))n=N.pow(e,n),t-=1;else{if(n.lte(N.dOne))return p(t+N.slog_critical(e.toNumber(),n.toNumber()));t+=1,n=N.log(n,e)}return p(t)}static slog_critical(e,t){return e>10?t-1:N.critical_section(e,t,Ls)}static tetrate_critical(e,t){return 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