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i=0;i<100;++i){if(s=(e*Math.exp(-n)+n*n)/(n+1),Math.abs(s-n)<t*Math.abs(s))return s;n=s}throw Error(`Iteration failed to converge: ${e.toString()}`)};function $n(e,t=1e-10){let n,s,i,r;if(!Number.isFinite(e.mag)||e===d.dZero)return e;if(e===d.dOne)return h(Dn);d.abs(e),n=d.ln(e);for(let l=0;l<100;++l){if(s=d.exp(-n),i=n.sub(e.mul(s)),r=n.sub(i.div(n.add(1).sub(n.add(2).mul(i).div(d.mul(2,n).add(2))))),d.abs(r.sub(n)).lt(d.abs(r).mul(t)))return r;n=r}throw Error(`Iteration failed to converge: ${e.toString()}`)}const _=class{constructor(e){this.sign=Number.NaN,this.mag=Number.NaN,this.layer=Number.NaN,e instanceof _||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/ii(e),this.sign*t}else 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h(e).factorial()}static gamma(e,t){return h(e).gamma()}static lngamma(e,t){return h(e).lngamma()}static exp(e){return h(e).exp()}static sqr(e){return h(e).sqr()}static sqrt(e){return h(e).sqrt()}static cube(e){return h(e).cube()}static cbrt(e){return h(e).cbrt()}static tetrate(e,t=2,n=q(1,0,1)){return h(e).tetrate(t,n)}static iteratedexp(e,t=2,n=q(1,0,1)){return h(e).iteratedexp(t,n)}static iteratedlog(e,t=10,n=1){return h(e).iteratedlog(t,n)}static layeradd10(e,t){return h(e).layeradd10(t)}static layeradd(e,t,n=10){return h(e).layeradd(t,n)}static slog(e,t=10){return h(e).slog(t)}static lambertw(e){return h(e).lambertw()}static ssqrt(e){return h(e).ssqrt()}static pentate(e,t=2,n=q(1,0,1)){return h(e).pentate(t,n)}static affordGeometricSeries(e,t,n,s){return this.affordGeometricSeries_core(h(e),h(t),h(n),s)}static sumGeometricSeries(e,t,n,s){return this.sumGeometricSeries_core(e,h(t),h(n),s)}static affordArithmeticSeries(e,t,n,s){return 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i=this.toNumber();if(i<=1.444667861009766&&i>=.06598803584531254){if(i>1.444667861009099)return new _(Math.E);const r=_.ln(this).neg();return r.lambertw().div(r)}else return i>1.444667861009766?new _(Number.POSITIVE_INFINITY):_.dNaN}if(this.eq(_.dZero)){let i=Math.abs((e+1)%2);return i>1&&(i=2-i),new _(i)}if(e<0)return _.iteratedlog(t,this,-e);t=h(t);const n=e;e=Math.trunc(e);const s=n-e;if(this.gt(_.dZero)&&this.lte(1.444667861009766)){e=Math.min(1e4,e);for(let i=0;i<e;++i){const r=t;if(t=this.pow(t),r.eq(t))return t}if(s!=0){const i=this.pow(t);return t.mul(1-s).add(i.mul(s))}return t}s!==0&&(t.eq(_.dOne)?this.gt(10)?t=this.pow(s):(t=h(_.tetrate_critical(this.toNumber(),s)),this.lt(2)&&(t=t.sub(1).mul(this.minus(1)).plus(1))):this.eq(10)?t=t.layeradd10(s):t=t.layeradd(s,this));for(let i=0;i<e;++i){if(t=this.pow(t),!isFinite(t.layer)||!isFinite(t.mag))return t.normalize();if(t.layer-this.layer>3)return q(t.sign,t.layer+(e-i-1),t.mag);if(i>1e4)return t}return t}iteratedexp(e=2,t=q(1,0,1)){return this.tetrate(e,t)}iteratedlog(e=10,t=1){if(t<0)return _.tetrate(e,-t,this);e=h(e);let n=h(this);const s=t;t=Math.trunc(t);const i=s-t;if(n.layer-e.layer>3){const r=Math.min(t,n.layer-e.layer-3);t-=r,n.layer-=r}for(let r=0;r<t;++r){if(n=n.log(e),!isFinite(n.layer)||!isFinite(n.mag))return n.normalize();if(r>1e4)return n}return i>0&&i<1&&(e.eq(10)?n=n.layeradd10(-i):n=n.layeradd(-i,e)),n}slog(e=10){if(e=h(e),e.lte(_.dZero)||e.eq(_.dOne))return _.dNaN;if(e.lt(_.dOne))return this.eq(_.dOne)?_.dZero:this.eq(_.dZero)?_.dNegOne:_.dNaN;if(this.mag<0||this.eq(_.dZero))return _.dNegOne;let t=0,n=h(this);if(n.layer-e.layer>3){const s=n.layer-e.layer-3;t+=s,n.layer-=s}for(let s=0;s<100;++s)if(n.lt(_.dZero))n=_.pow(e,n),t-=1;else{if(n.lte(_.dOne))return h(t+_.slog_critical(e.toNumber(),n.toNumber()));t+=1,n=_.log(n,e)}return h(t)}static slog_critical(e,t){return e>10?t-1:_.critical_section(e,t,ai)}static tetrate_critical(e,t){return 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