Package g1301_1400.s1319_number_of_operations_to_make_network_connected

Class Solution

  • public class Solution
extends Object
    1319 - Number of Operations to Make Network Connected.

    Medium

    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.

    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.

    • Constructor Detail

      • Solution

        public Solution()

    • Method Detail

      • makeConnected

        public int makeConnected​(int totalNumberOfComputers,
                         int[][] connections)