2024-06-29 Daily Challenge
Today I have done leetcode's June LeetCoding Challenge with cpp
.
June LeetCoding Challenge 29
Description
All Ancestors of a Node in a Directed Acyclic Graph
You are given a positive integer n
representing the number of nodes of a Directed Acyclic Graph (DAG). The nodes are numbered from 0
to n - 1
(inclusive).
You are also given a 2D integer array edges
, where edges[i] = [fromi, toi]
denotes that there is a unidirectional edge from fromi
to toi
in the graph.
Return a list answer
, where answer[i]
is the list of ancestors of the ith
node, sorted in ascending order.
A node u
is an ancestor of another node v
if u
can reach v
via a set of edges.
Example 1:
Input: n = 8, edgeList = [[0,3],[0,4],[1,3],[2,4],[2,7],[3,5],[3,6],[3,7],[4,6]] Output: [[],[],[],[0,1],[0,2],[0,1,3],[0,1,2,3,4],[0,1,2,3]] Explanation: The above diagram represents the input graph. - Nodes 0, 1, and 2 do not have any ancestors. - Node 3 has two ancestors 0 and 1. - Node 4 has two ancestors 0 and 2. - Node 5 has three ancestors 0, 1, and 3. - Node 6 has five ancestors 0, 1, 2, 3, and 4. - Node 7 has four ancestors 0, 1, 2, and 3.
Example 2:
Input: n = 5, edgeList = [[0,1],[0,2],[0,3],[0,4],[1,2],[1,3],[1,4],[2,3],[2,4],[3,4]] Output: [[],[0],[0,1],[0,1,2],[0,1,2,3]] Explanation: The above diagram represents the input graph. - Node 0 does not have any ancestor. - Node 1 has one ancestor 0. - Node 2 has two ancestors 0 and 1. - Node 3 has three ancestors 0, 1, and 2. - Node 4 has four ancestors 0, 1, 2, and 3.
Constraints:
1 <= n <= 1000
0 <= edges.length <= min(2000, n * (n - 1) / 2)
edges[i].length == 2
0 <= fromi, toi <= n - 1
fromi != toi
- There are no duplicate edges.
- The graph is directed and acyclic.
Solution
class Solution {
void dfs(
int parent,
int node,
vector<bool> &visit,
const vector<vector<int>> &graph,
vector<vector<int>> &answer
) {
visit[node] = true;
for(auto next : graph[node]) {
if(visit[next]) continue;
answer[next].push_back(parent);
dfs(parent, next, visit, graph, answer);
}
}
public:
vector<vector<int>> getAncestors(int n, vector<vector<int>>& edges) {
vector<vector<int>> graph(n);
vector<vector<int>> answer(n);
for(auto & edge : edges) {
graph[edge[0]].push_back(edge[1]);
}
for(int i = 0; i < n; ++i) {
vector<bool> visit(n);
dfs(i, i, visit, graph, answer);
}
for(auto &result : answer) {
sort(result.begin(), result.end());
result.resize(unique(result.begin(), result.end()) - result.begin());
}
return answer;
}
};