2023-05-18 Daily Challenge

Today I have done leetcode's May LeetCoding Challenge with cpp.

May LeetCoding Challenge 18

Description

Minimum Number of Vertices to Reach All Nodes

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 1:

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].

Example 2:

Input: n = 5, edges = [[0,1],[2,1],[3,1],[1,4],[2,4]]
Output: [0,2,3]
Explanation: Notice that vertices 0, 3 and 2 are not reachable from any other node, so we must include them. Also any of these vertices can reach nodes 1 and 4.

 

Constraints:

  • 2 <= n <= 10^5
  • 1 <= edges.length <= min(10^5, n * (n - 1) / 2)
  • edges[i].length == 2
  • 0 <= fromi, toi < n
  • All pairs (fromi, toi) are distinct.

Solution

class Solution {
public:
  vector<int> findSmallestSetOfVertices(int n, vector<vector<int>>& edges) {
    vector<int> degree(n);
    for(const auto &edge : edges) {
      degree[edge[1]] += 1;
    }

    vector<int> answer;
    for(int i = 0; i < n; ++i) {
      if(!degree[i]) {
        answer.push_back(i);
      }
    }

    return answer;
  }
};

// Accepted
// 66/66 cases passed (275 ms)
// Your runtime beats 91.92 % of cpp submissions
// Your memory usage beats 89.58 % of cpp submissions (94.2 MB)