from heapq import heapify, heappop, heappush N,M = map(int,input().split()); INF = float("inf") Graph = [[] for _ in range(N)] INPUT = [] for i in range(M): s,g,x,y = map(int,input().split()); INPUT.append((s,g,x,y)) s-=1;g-=1 Graph[s].append((x,g)) Graph[g].append((x,s)) def dijkstra_heap2(s,G): #S:start, V: node, E: Edge, G: Graph V = len(G) d = [INF for _ in range(V)] d[s] = 0 prev = [0]*V prev[s] = -1 PQ = [] heappush(PQ,(0,s)) while PQ: c,v = heappop(PQ) if d[v] < c: continue d[v] = c for cost,u in G[v]: if d[u] <= cost + d[v]: continue d[u] = cost + d[v] prev[u] = v heappush(PQ,(d[u], u)) return d ,prev D,PREV = dijkstra_heap2(0,Graph) #print(D) ans = D[N-1] #print(PREV) now = N-1 Used = set() while now != 0: mae = now now = PREV[mae] Used.add((mae,now)) Graph.clear() New_Graph = [[] for _ in range(N)] for P in INPUT: a,b,x,y = P a-=1;b-=1 if (a,b) in Used or (b,a) in Used: New_Graph[a].append((y,b)) New_Graph[b].append((y,a)) else: New_Graph[a].append((x,b)) New_Graph[b].append((x,a)) #print(New_Graph) RD, RPREV = dijkstra_heap2(N-1,New_Graph) #print(RD) ans += RD[0] print(ans)