Fundamentals/Min Cost To Add New Roads
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There are N cities numbered from 1 to N.
You are given connections, where each connections[i] = [city1, city2, cost] represents the cost to connect city1 and city2 together. (A connection is bidirectional: connecting city1 and city2 is the same as connecting city2 and city1.)
Return the minimum cost so that for every pair of cities, there exists a path of connections (possibly of length 1) that connects those two cities together. The cost is the sum of the connection costs used. If the task is impossible, return -1.
Examples
Example 1
InputN = 3, connections = [[1,2,5],[1,3,6],[2,3,1]]
Output: 6
Explanation: Choosing any 2 edges will connect all cities, so we choose the minimum 2.
Example 2:
Input: N = 4, connections = [[1,2,3],[3,4,4]]
Output: -1
Explanation:
There is no way to connect all cities even if all edges are used.
Constrains:
connections[i][0] != connections[i][1]