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| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 | 2x 2x 2x 2x 2x 2x 3957x 3957x 395x 395x 395x 395x 395x 3957x 3957x 3957x 3957x 3957x 3957x 3957x 3957x 3957x 3957x 3957x 583x 583x 583x 583x 395x 301x 392x 2x 2x 583x 583x 583x 583x 3957x 3957x 583x 282x 282x 3957x 3957x 3957x 3957x | /**
* @template T
* @param {Array<[T, T]>} edges
* @returns {Array<T>|undefined}
*/
export default function check_graph_for_cycles(edges) {
/** @type {Map<T, T[]>} */
const graph = edges.reduce((g, edge) => {
const [u, v] = edge;
if (!g.has(u)) g.set(u, []);
if (!g.has(v)) g.set(v, []);
g.get(u).push(v);
return g;
}, new Map());
const visited = new Set();
const on_stack = new Set();
/** @type {Array<Array<T>>} */
const cycles = [];
/**
* @param {T} v
*/
function visit(v) {
visited.add(v);
on_stack.add(v);
graph.get(v)?.forEach((w) => {
if (!visited.has(w)) {
visit(w);
} else if (on_stack.has(w)) {
cycles.push([...on_stack, w]);
}
});
on_stack.delete(v);
}
graph.forEach((_, v) => {
if (!visited.has(v)) {
visit(v);
}
});
return cycles[0];
}
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