Given a directed acyclic graph, with n
vertices numbered from 0
to n-1
, and an array edges
where edges[i] = [fromi, toi]
represents a directed edge from node fromi
to node toi
.
Find the smallest set of vertices from which all nodes in the graph are reachable. It’s guaranteed that a unique solution exists.
Notice that you can return the vertices in any order.
Example
Input: n = 6, edges = [[0,1],[0,2],[2,5],[3,4],[4,2]]
Output: [0,3]
Explanation: It's not possible to reach all the nodes from a single vertex. From 0 we can reach [0,1,2,5]. From 3 we can reach [3,4,2,5]. So we output [0,3].
Solution
/**
* @param {number} n
* @param {number[][]} edges
* @return {number[]}
*/
var findSmallestSetOfVertices = function (n, edges) {
//Declare result array and set
let result = [];
let set = new Set();
//FOR the length of edges
for (let i = 0; i < edges.length; i++) {
//Add the second value of each edge to the set
set.add(edges[i][1]);
}
//FOR the length of n
for (let i = 0; i < n; i++) {
//IF the set does not have i
if (!set.has(i)) {
//Push i to the result array
result.push(i);
}
}
return result;
};