B"Tree is a connected undirected graph that has no cycles. Edge cactus is a connected undirected graph without loops and parallel edges, such that each edge belongs to at most one cycle. Vasya has an edge cactus, each edge of this graph has some color. Vasya would like to remove the minimal number of edges in such way that his cactus turned to a tree. Vasya wants to make it in such a way that there were edges of as many different colors in the resulting tree, as possible. Help him to find how many different colors can the resulting tree have. The first line contains two integers: n, m (2 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x8910 xe2 x80 x89000) -- the number of vertices and the number of edges in Vasya's graph, respectively. The following m lines contain three integers each: u, v, c (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89u, xe2 x80 x89v xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n, u xe2 x80 x89 xe2 x89 xa0 xe2 x80 x89v, 1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89c xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89m) -- the numbers of vertices connected by the corresponding edge, and its color. It is guaranteed that the described graph is indeed an edge cactus. Output one integer: the maximal number of different colors that the resulting tree can have. "...