import heapq class Graph: def __init__(self,V,edges=None,graph=None,directed=False,weighted=False,inf=float("inf")): self.V=V self.directed=directed self.weighted=weighted self.inf=inf if graph!=None: self.graph=graph """ self.edges=[] for i in range(self.V): if self.weighted: for j,d in self.graph[i]: if self.directed or not self.directed and i<=j: self.edges.append((i,j,d)) else: for j in self.graph[i]: if self.directed or not self.directed and i<=j: self.edges.append((i,j)) """ else: self.edges=edges self.graph=[[] for i in range(self.V)] if weighted: for i,j,d in self.edges: self.graph[i].append((j,d)) if not self.directed: self.graph[j].append((i,d)) else: for i,j in self.edges: self.graph[i].append(j) if not self.directed: self.graph[j].append(i) def Dijkstra(self,s,route_restoration=False): dist=[self.inf]*self.V dist[s]=0 queue=[(0,s)] if route_restoration: parents=[None]*self.V while queue: dx,x=heapq.heappop(queue) if dist[x]dx+dy: dist[y]=dx+dy if route_restoration: parents[y]=x heapq.heappush(queue,(dist[y],y)) if route_restoration: return dist,parents else: return dist def Bellman_Ford(self,s,route_restoration=False): dist=[self.inf]*self.V dist[s]=0 if route_restoration: parents=[None]*self.V for _ in range(self.V-1): for i,j,d in self.edges: if dist[j]>dist[i]+d: dist[j]=dist[i]+d if route_restoration: parents[j]=i if not self.directed and dist[i]>dist[j]+d: dist[i]=dist[j]+d if route_restoration: parents[i]=j negative_cycle=[] for i,j,d in self.edges: if dist[j]>dist[i]+d: negative_cycle.append(j) if not self.directed and dist[i]>dist[j]+d: negative_cycle.append(i) if negative_cycle: is_negative_cycle=[False]*self.V for i in negative_cycle: if is_negative_cycle[i]: continue else: queue=deque([i]) is_negative_cycle[i]=True while queue: x=queue.popleft() for y,d in self.graph[x]: if not is_negative_cycle[y]: queue.append(y) is_negative_cycle[y]=True if route_restoration: parents[y]=x for i in range(self.V): if is_negative_cycle[i]: dist[i]=-self.inf if route_restoration: return dist,parents else: return dist N,M,Q=map(int,input().split()) edges=[] for m in range(M): u,v,w=map(int,input().split()) u-=1;v-=1 w=-w edges.append((u,v,w)) inf=1<<60 G=Graph(N,edges=edges,directed=True,weighted=True,inf=inf) dist=G.Bellman_Ford(0) E=[] for u,v,w in edges: w+=dist[u]-dist[v] E.append((u,v,w)) use=[1]*M for j in map(int,input().split()): j-=1 use[j]^=1 edges=[] for m in range(M): if use[m]: edges.append(E[m]) G=Graph(N,edges=edges,directed=True,weighted=True,inf=inf) ans=G.Dijkstra(0)[N-1] if ans==inf: ans="NaN" else: ans+=dist[N-1]-dist[0] ans=-ans print(ans)