from collections import deque def main(): import sys input = sys.stdin.read data = input().split() idx = 0 n = int(data[idx]) idx += 1 m = int(data[idx]) idx += 1 in_edges = [[] for _ in range(n)] # in_edges[B] stores tuples of (A, C) edges = [[] for _ in range(n)] # edges[A] stores tuples of (B, C) indegree = [0] * n for _ in range(m): a = int(data[idx]) idx += 1 b = int(data[idx]) idx += 1 c = int(data[idx]) idx += 1 in_edges[b].append((a, c)) edges[a].append((b, c)) indegree[b] += 1 # Topological sort queue = deque() for i in range(n): if indegree[i] == 0: queue.append(i) order = [] while queue: u = queue.popleft() order.append(u) for (v, c) in edges[u]: indegree[v] -= 1 if indegree[v] == 0: queue.append(v) # Initialize probabilities prob = [0.0] * n prob[0] = 1.0 # Group 0 starts with probability 1.0 for b in order: if b == 0: continue # Skip group 0, as its probability is fixed product = 1.0 for (a, c) in in_edges[b]: if a == 0: p_a = 1.0 else: p_a = prob[a] product *= (1.0 - p_a * c / 100.0) prob[b] = 1.0 - product print("{0:.10f}".format(prob[n-1])) if __name__ == "__main__": main()