import sys from collections import deque def main(): N, M = map(int, sys.stdin.readline().split()) adj = [[] for _ in range(N)] edges = [[] for _ in range(N)] for _ in range(M): A, B, C = map(int, sys.stdin.readline().split()) if B != 0: # Ignore edges pointing to group 0 adj[A].append(B) edges[B].append((A, C)) # Calculate in_degree for each node (number of incoming edges excluding those to 0) in_degree = [0] * N for b in range(N): in_degree[b] = len(edges[b]) # Perform topological sort queue = deque() order = [] for i in range(N): if in_degree[i] == 0: queue.append(i) while queue: u = queue.popleft() order.append(u) for v in adj[u]: in_degree[v] -= 1 if in_degree[v] == 0: queue.append(v) # Initialize probabilities P = [0.0] * N P[0] = 1.0 # Group 0 starts the topic # Compute probabilities in topological order for u in order: if u == 0: continue # already set to 1.0 product = 1.0 for (A, C) in edges[u]: product *= (1.0 - P[A] * (C / 100.0)) P[u] = 1.0 - product print("{0:.10f}".format(P[N-1])) if __name__ == "__main__": main()