class Graph:

    def __init__(self, vertex):
        self.V = vertex
        self.graph = []

    def add_edge(self, u, v, w):
        self.graph.append([u, v, w])


    def search(self, parent, i):
        if parent[i] == i:
            return i
        return self.search(parent, parent[i])

    def apply_union(self, parent, rank, x, y):
        xroot = self.search(parent, x)
        yroot = self.search(parent, y)
        if rank[xroot] < rank[yroot]:
            parent[xroot] = yroot
        elif rank[xroot] > rank[yroot]:
            parent[yroot] = xroot
        else:
            parent[yroot] = xroot
            rank[xroot] += 1


    def kruskal(self):
        result = []
        i, e = 0, 0
        self.graph = sorted(self.graph, key=lambda item: item[2])
        parent = []
        rank = []
        for node in range(self.V):
            parent.append(node)
            rank.append(0)
        while e < self.V - 1:
            u, v, w = self.graph[i]
            i = i + 1
            x = self.search(parent, u)
            y = self.search(parent, v)
            if x != y:
                e = e + 1
                result.append([u, v, w])
                self.apply_union(parent, rank, x, y)
        for u, v, weight in result:
            print("Edge:",u, v,end =" ")
            print("-",weight)


lista = [[0,4,5,0],
     [4,0,0,2],
     [5,0,0,6],
     [0,2,6,0]]

def matriz_grafo (l):
    g2 = Graph(len(l))
    for i in range(len(l)):
        for j in range(len(l)):
            if l[i][j]!= 0:
                g2.add_edge(i,j,l[i][j])
    g2.kruskal()


matriz_grafo(lista)