javascript cartesian product
let f = (a, b) => [].concat(...a.map(a => b.map(b => [].concat(a, b))));
let cartesian = (a, b, ...c) => b ? cartesian(f(a, b), ...c) : a;
const cartesian =
(...a) => a.reduce((a, b) => a.flatMap(d => b.map(e => [d, e].flat())));
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