import heapq import sys input = sys.stdin.buffer.readline def dijkstra(start: int, graph: list) -> list: """dijkstra法: 始点startから各頂点への最短距離を求める 計算量: O((E+V)logV) """ INF = 10 ** 18 n = len(graph) dist = [INF] * n dist[start] = 0 q = [(0, start)] # q = [(startからの距離, 現在地)] while q: d, v = heapq.heappop(q) if dist[v] < d: continue for nxt_v, cost in graph[v]: if dist[v] + cost < dist[nxt_v]: dist[nxt_v] = dist[v] + cost heapq.heappush(q, (dist[nxt_v], nxt_v)) return dist n, m = map(int, input().split()) edges = [list(map(int, input().split())) for _ in range(m)] ans = 0 graph = [[] for i in range(n)] for u, v, cost, _ in edges: u -= 1 v -= 1 graph[u].append((v, cost)) graph[v].append((u, cost)) start = n - 1 dist = dijkstra(start, graph) ans += dist[0] path = [0] v = 0 while v != n - 1: for prv_v, cost in graph[v]: if dist[prv_v] + cost == dist[v]: path.append(prv_v) v = prv_v break mapping = set([]) for u, v in zip(path, path[1:]): mapping.add((u, v)) mapping.add((v, u)) graph = [[] for i in range(n)] for u, v, c, d in edges: u -= 1 v -= 1 if (u, v) in mapping: graph[u].append((v, d)) graph[v].append((u, d)) else: graph[u].append((v, c)) graph[v].append((u, c)) start = 0 dist = dijkstra(start, graph) ans += dist[-1] print(ans)