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a=0;a<100;++a){if(i=(e*Math.exp(-l)+l*l)/(l+1),Math.abs(i-l)<t*Math.abs(i))return i;l=i}throw Error(`Iteration failed to converge: ${e.toString()}`)};function Gn(e,t=1e-10){let l,i,a,s;if(!Number.isFinite(e.mag)||e===n.dZero)return e;if(e===n.dOne)return v(ii);n.abs(e),l=n.ln(e);for(let u=0;u<100;++u){if(i=n.exp(-l),a=l.sub(e.mul(i)),s=l.sub(a.div(l.add(1).sub(l.add(2).mul(a).div(n.mul(2,l).add(2))))),n.abs(s.sub(l)).lt(n.abs(s).mul(t)))return s;l=s}throw Error(`Iteration failed to converge: ${e.toString()}`)}const N=class{constructor(e){this.sign=Number.NaN,this.mag=Number.NaN,this.layer=Number.NaN,e instanceof N||e!=null&&typeof e=="object"&&"sign"in e&&"mag"in e&&"layer"in e?this.fromDecimal(e):typeof e=="number"?this.fromNumber(e):typeof e=="string"?this.fromString(e):(this.sign=0,this.layer=0,this.mag=0)}get m(){if(this.sign===0)return 0;if(this.layer===0){const e=Math.floor(Math.log10(this.mag));let t;return this.mag===5e-324?t=5:t=this.mag/Ua(e),this.sign*t}else 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this.sign===-1?Math.abs(i.toNumber()%2)%2===1?a.neg():Math.abs(i.toNumber()%2)%2===0?a:N.dNaN:a}pow10(){if(!Number.isFinite(this.layer)||!Number.isFinite(this.mag))return N.dNaN;let e=this;if(e.layer===0){const t=Math.pow(10,e.sign*e.mag);if(Number.isFinite(t)&&Math.abs(t)>=.1)return ne(1,0,t);if(e.sign===0)return N.dOne;e=pe(e.sign,e.layer+1,Math.log10(e.mag))}return e.sign>0&&e.mag>=0?ne(e.sign,e.layer+1,e.mag):e.sign<0&&e.mag>=0?ne(-e.sign,e.layer+1,-e.mag):N.dOne}pow_base(e){return v(e).pow(this)}root(e){const t=v(e);return this.pow(t.recip())}factorial(){return this.mag<0?this.add(1).gamma():this.layer===0?this.add(1).gamma():this.layer===1?N.exp(N.mul(this,N.ln(this).sub(1))):N.exp(this)}gamma(){if(this.mag<0)return this.recip();if(this.layer===0){if(this.lt(pe(1,0,24)))return v($a(this.sign*this.mag));const e=this.mag-1;let t=.9189385332046727;t=t+(e+.5)*Math.log(e),t=t-e;const l=e*e;let i=e,a=12*i,s=1/a,u=t+s;if(u===t||(t=u,i=i*l,a=360*i,s=1/a,u=t-s,u===t))return 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a=this.toNumber();if(a<=1.444667861009766&&a>=.06598803584531254){if(a>1.444667861009099)return new N(Math.E);const s=N.ln(this).neg();return s.lambertw().div(s)}else return a>1.444667861009766?new N(Number.POSITIVE_INFINITY):N.dNaN}if(this.eq(N.dZero)){let a=Math.abs((e+1)%2);return a>1&&(a=2-a),new N(a)}if(e<0)return N.iteratedlog(t,this,-e);t=v(t);const l=e;e=Math.trunc(e);const i=l-e;if(this.gt(N.dZero)&&this.lte(1.444667861009766)){e=Math.min(1e4,e);for(let a=0;a<e;++a){const s=t;if(t=this.pow(t),s.eq(t))return t}if(i!=0){const a=this.pow(t);return t.mul(1-i).add(a.mul(i))}return t}i!==0&&(t.eq(N.dOne)?this.gt(10)?t=this.pow(i):(t=v(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 a=0;a<e;++a){if(t=this.pow(t),!isFinite(t.layer)||!isFinite(t.mag))return t.normalize();if(t.layer-this.layer>3)return pe(t.sign,t.layer+(e-a-1),t.mag);if(a>1e4)return t}return t}iteratedexp(e=2,t=pe(1,0,1)){return this.tetrate(e,t)}iteratedlog(e=10,t=1){if(t<0)return N.tetrate(e,-t,this);e=v(e);let l=v(this);const i=t;t=Math.trunc(t);const a=i-t;if(l.layer-e.layer>3){const s=Math.min(t,l.layer-e.layer-3);t-=s,l.layer-=s}for(let s=0;s<t;++s){if(l=l.log(e),!isFinite(l.layer)||!isFinite(l.mag))return l.normalize();if(s>1e4)return l}return a>0&&a<1&&(e.eq(10)?l=l.layeradd10(-a):l=l.layeradd(-a,e)),l}slog(e=10){if(e=v(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,l=v(this);if(l.layer-e.layer>3){const i=l.layer-e.layer-3;t+=i,l.layer-=i}for(let i=0;i<100;++i)if(l.lt(N.dZero))l=N.pow(e,l),t-=1;else{if(l.lte(N.dOne))return v(t+N.slog_critical(e.toNumber(),l.toNumber()));t+=1,l=N.log(l,e)}return v(t)}static slog_critical(e,t){return e>10?t-1:N.critical_section(e,t,Oa)}static tetrate_critical(e,t){return 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