from heapq import heappush, heappop INF = 10**18 def dijkstra(N, G, s): dist = [INF] * N parents = [-1]*N que = [(0, s)] dist[s] = 0 while que: c, v = heappop(que) if dist[v] < c: continue for t, cost in G[v]: if dist[v] + cost < dist[t]: dist[t] = dist[v] + cost parents[t] = v heappush(que, (dist[t], t)) return dist, parents N, M = map(int, input().split()) G = [set() for _ in range(N)] vs = list() X = [] for _ in range(M): a, b, c, d = map(int, input().split()) a-=1;b-=1 G[a].add((b, c)) G[b].add((a, c)) X.append((a, b, c, d)) dd, par = dijkstra(N, G, 0) ans = dd[N-1] #c = N-1 #R = [N-1] #while 1: # mn = 10**18 # rr = -1 # for u, co in G[c]: # if dd[u]+co < mn: # mn = co+dd[u] # rr = u # R.append(rr) # c = rr # if rr == 0: # break c = N-1 R = [N-1] while c!=0: c = par[c] R.append(c) G2 = [set() for _ in range(N)] vs = set() for u, v in zip(R, R[1:]): vs.add((u, v)) vs.add((v, u)) for a, b, c, d in X: if (a, b) in vs: co = d else: co = c G2[a].add((b, co)) G2[b].add((a, co)) dd, _ = dijkstra(N, G2, N-1) ans += dd[0] print(ans)