How to Solve Count Visited Nodes in a Directed Graph Leetcode Problem - Interview Coder Guide
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How to Solve Count Visited Nodes in a Directed Graph Problem

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Hard#3140
LeetCode Problem

Count Visited Nodes in a Directed Graph

There is a directed graph consisting of n nodes numbered from 0 to n - 1 and n directed edges. You are given a 0-indexed array edges where edges[i] indicates that there is an edge from node i to node ...

Dynamic ProgrammingGraphMemoization

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Problem Breakdown

Understanding the Count Visited Nodes in a Directed Graph Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

There is a directed graph consisting of n nodes numbered from 0 to n - 1 and n directed edges. You are given a 0-indexed array edges where edges[i] indicates that there is an edge from node i to node edges[i]. Consider the following process on the graph: You start from a node x and keep visiting other nodes through edges until you reach a node that you have already visited before on this same process. Return an array answer where answer[i] is the number of different nodes that you will visit if you perform the process starting from node i.

HardProblem #3140
LeetCode

Count Visited Nodes in a Directed Graph

Related Topics
Dynamic ProgrammingGraphMemoization
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Examples

Example 1
INPUT
edges = [1,2,0,0]
OUTPUT
[3,3,3,4]
EXPLANATION

We perform the process starting from each node in the following way: - Starting from node 0, we visit the nodes 0 -> 1 -> 2 -> 0. The number of different nodes we visit is 3. - Starting from node 1, we visit the nodes 1 -> 2 -> 0 -> 1. The number of different nodes we visit is 3. - Starting from node 2, we visit the nodes 2 -> 0 -> 1 -> 2. The number of different nodes we visit is 3. - Starting from node 3, we visit the nodes 3 -> 0 -> 1 -> 2 -> 0. The number of different nodes we visit is 4.

Example 2
INPUT
edges = [1,2,3,4,0]
OUTPUT
[5,5,5,5,5]
EXPLANATION

Starting from any node we can visit every node in the graph in the process.

Constraints

n == edges.length
2 <= n <= 105
0 <= edges[i] <= n - 1
edges[i] != i

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