import sys input = sys.stdin.readline enum = enumerate inf = 1001001001002002002 MOD = 998244353 #10**9 + 7 import collections import random from bisect import bisect_right as bs_r from itertools import permutations import heapq def linput(ty=int, cvt=list): return cvt(map(ty,input().split())) def vinput(rep=1, ty=int, cvt=list): return cvt(ty(input().rstrip()) for _ in range(rep)) def gcd(a: int, b: int): while b: a, b = b, a%b return a def lcm(a: int, b: int): return a * b // gcd(a, b) def dist(x1,y1,x2,y2): return abs(x1-x2)+abs(y1-y2) vD = [chr(ord("a")+i) for i in range(26)] def bye(res): sT = "No Yes".split() print(sT[res]) #exit(0) def csum(v): vr = [0,] s = 0 for a in v: s = (s+a) vr.append(s) return vr def dijkstra(start, n, c_list): _vC = [inf,]*(n+1) _vC[start] = 0 _vR = [0,]*(n+1) #set({}) _vQ = [(0,start),] heapq.heapify(_vQ) while _vQ: _ci,_i = heapq.heappop(_vQ) if _vC[_i] < _ci: continue for _cj,_j,_m in c_list[_i]: if _vC[_j] > _vC[_i] + _cj: _vC[_j] = _vC[_i] + _cj #_vM |= {_m,} _vR[_j] = _i heapq.heappush(_vQ, (_vC[_j],_j)) return _vC, _vR def main(): N,M = linput() mT = [linput(int,tuple) for _ in range(M)] res = 0 # 1st graph mG = [[] for _ in range(N+1)] for m, (u,v,c,d) in enum(mT): mG[u].append( (c,v,m) ) mG[v].append( (c,u,m) ) # dijkstra 1 vC, vR = dijkstra(1, N, mG) #print(vC, vR)### res += vC[N] # find a path vM = set({}) vQ = [N,] while vQ: v = vQ.pop() u = vR[v] for c,gv,m in mG[u]: if gv==v: vQ.append(u) vM |= {m,} break # 2nd graph mG = [[] for _ in range(N+1)] for m, (u,v,c,d) in enum(mT): cost = d if m in vM else c mG[u].append( (cost,v,m) ) mG[v].append( (cost,u,m) ) # dijkstra 2 vC, vR = dijkstra(N, N, mG) #print(vC)### res += vC[1] print(res) if __name__ == "__main__": main()