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/*
Fraction.js v5.0.0 10/1/2024
https://raw.org/article/rational-numbers-in-javascript/
Copyright (c) 2024, Robert Eisele (https://raw.org/)
Licensed under the MIT license.
*/
const Fraction = require('fraction.js');
// Based on http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fractions/egyptian.html
function egyptian(a, b) {
var res = [];
do {
var t = Math.ceil(b / a);
var x = new Fraction(a, b).sub(1, t);
res.push(t);
a = Number(x.n);
b = Number(x.d);
} while (a !== 0n);
return res;
}
console.log("1 / " + egyptian(521, 1050).join(" + 1 / "));