How to Solve Number of Operations to Make Network Connected Leetcode Problem - Interview Coder Guide
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How to Solve Number of Operations to Make Network Connected Problem

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Medium#1442
LeetCode Problem

Number of Operations to Make Network Connected

There are n computers numbered from 0 to n - 1 connected by ethernet cables connections forming a network where connections[i] = [ai, bi] represents a connection between computers ai and bi. Any compu...

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Problem Breakdown

Understanding the Number of Operations to Make Network Connected Problem

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

Problem Statement

There are n computers numbered from 0 to n - 1 connected by ethernet cables connections forming a network where connections[i] = [ai, bi] represents a connection between computers ai and bi. Any computer can reach any other computer directly or indirectly through the network. You are given an initial computer network connections. You can extract certain cables between two directly connected computers, and place them between any pair of disconnected computers to make them directly connected. Return the minimum number of times you need to do this in order to make all the computers connected. If it is not possible, return -1.

MediumProblem #1442
LeetCode

Number of Operations to Make Network Connected

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How Interview Coder Helps

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Examples

Example 1
INPUT
n = 4, connections = [[0,1],[0,2],[1,2]]
OUTPUT
1
EXPLANATION

Remove cable between computer 1 and 2 and place between computers 1 and 3.

Example 2
INPUT
n = 6, connections = [[0,1],[0,2],[0,3],[1,2],[1,3]]
OUTPUT
2
Example 3
INPUT
n = 6, connections = [[0,1],[0,2],[0,3],[1,2]]
OUTPUT
-1
EXPLANATION

There are not enough cables.

Constraints

1 <= n <= 105
1 <= connections.length <= min(n * (n - 1) / 2, 105)
connections[i].length == 2
0 <= ai, bi < n
ai != bi
There are no repeated connections.
No two computers are connected by more than one cable.

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