# https://yukicoder.me/problems/no/3482 from collections import deque MAX_INT = 10 ** 18 class UnionFind: """ UnionFindの基本的な処理を実装したクラス """ def __init__(self, size): self.root = [i for i in range(size)] self.size = [1] * size def get_root(self, v): if v == self.root[v]: return v else: old_root = self.root[v] new_root = self.get_root(old_root) self.root[v] = new_root return new_root def merge(self, u, v): root_u = self.get_root(u) root_v = self.get_root(v) if root_u == root_v: return False if self.size[root_u] >= self.size[root_v]: self.size[root_u] += self.size[root_v] self.root[root_v] = root_u self.root[v] = root_u else: self.size[root_v] += self.size[root_u] self.root[root_u] = root_v self.root[u] = root_v return True def bfs(N, next_nodes): queue = deque() queue.append(0) dists = [MAX_INT] * N dists[0] = 0 while len(queue) > 0: v = queue.popleft() for w in next_nodes[v]: if dists[w] == MAX_INT: dists[w] = dists[v] + 1 queue.append(w) return dists[N- 1] def solve_bfs_same(N, edges, uf): r = uf.get_root(0) next_nodes = [[] for _ in range(N)] for a, b, c in edges: if c == 1 and r == uf.get_root(a): next_nodes[a].append(b) next_nodes[b].append(a) return bfs(N, next_nodes) def solve_bfs_diff(N, edges, uf, r1, r2): r1 = uf.get_root(0) r2 = uf.get_root(N - 1) next_nodes = [[] for _ in range(N)] for a, b, c in edges: ra = uf.get_root(a) rb =uf.get_root(b) if c == 1 and (r1 == ra or r2 == ra): next_nodes[a].append(b) next_nodes[b].append(a) elif c == 2 and ((ra, rb) == (r1, r2) or (a, b) == (r2, r1)): next_nodes[a].append(b) next_nodes[b].append(a) return bfs(N, next_nodes) def solve(N, M, edges): uf = UnionFind(N) # C=1のタイプのものだけつかってUnionFind for a, b, c in edges: if c == 1: uf.merge(a, b) # 同じ連結成分にいればSameが証明できる最小値はBFSで解く if uf.get_root(0) == uf.get_root(N - 1): answer = ["Same", solve_bfs_same(N, edges, uf)] return answer # C=2のタイプを使って「隣接する」連結成分にいるかを確認 r1 = uf.get_root(0) r2 = uf.get_root(N - 1) for a, b, c in edges: ra = uf.get_root(a) rb =uf.get_root(b) if (ra, rb) == (r1, r2) or (a, b) == (r2, r1): answer = ["Different", solve_bfs_diff(N, edges, uf, r1, r2)] return answer # いればBFSで解く return ["Unknown"] def main(): T = int(input()) answers = [] for _ in range(T): N, M = map(int, input().split()) edges = [] for _ in range(M): a, b, c = map(int, input().split()) edges.append((a - 1, b - 1, c)) ans =solve(N, M, edges) answers.append(ans) for ans in answers: for a in ans: print(a) if __name__ == "__main__": main()