This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<iostream>
#include<stdio.h>
#include<stdint.h>
#include<vector>
#include<algorithm>
#include<utility>
#include<set>
#include<map>
#include<queue>
#include<stack>
#include<deque>
#include<string>
#include<assert.h>
#include<math.h>
#include<chrono>
#include<random>
#include<bitset>
using namespace std;
const int64_t INF = (int64_t) 1e18 + 5;
const int64_t mINF = (int64_t) 1e6 + 5;
const int64_t MOD = (int64_t) 1e9 + 9;
const int nbit = 30;
const int ndig = 10;
const int nchar = 26;
const int p1 = 31;
const int p2 = 69420;
const int D = 4;
int dr[D] = {0, 1, 0, -1};
int dc[D] = {1, 0, -1, 0};
// 0 right // 1 down // 2 left // 3 up
struct Node
{
int u;
int c;
int64_t w;
Node(int u_, int c_, int64_t w_) : u(u_), c(c_), w(w_) {}
bool operator < (const Node& o) const
{
return w > o.w;
}
};
struct Edge
{
int v;
int c;
int w;
Edge(int v_, int c_, int w_) : v(v_), c(c_), w(w_) {}
};
struct Solution
{
int n;
int m;
vector<vector<Edge> > adj;
vector<map<int, int64_t> > mp;
vector<vector<int64_t> > dis;
Solution() {}
void solve()
{
cin >> n >> m;
mp.resize(n);
adj.resize(n);
for(int i = 0; i < m; i++)
{
int u; int v;
int c; int w;
cin >> u >> v >> c >> w;
u--; v--;
mp[u][c] += w; mp[v][c] += w;
adj[u].push_back(Edge(v, c, w));
adj[v].push_back(Edge(u, c, w));
}
dis.resize(n, vector<int64_t>(m + 1, INF));
Dijkstra();
if(dis[n - 1][0] == INF) cout << "-1\n";
else cout << dis[n - 1][0] << "\n";
}
void Dijkstra(int s = 0)
{
priority_queue<Node> pq;
pq.push(Node(s, 0, 0));
dis[s][0] = 0;
while(!pq.empty())
{
Node x = pq.top();
pq.pop();
int u = x.u;
int c = x.c;
int64_t w = x.w;
if(dis[u][c] != w) continue;
for(int i = 0; i < (int) adj[u].size(); i++)
{
Edge e = adj[u][i];
int v = e.v;
if(c != 0)
{
if(e.c == c && dis[v][0] > w + mp[u][e.c] - e.w)
{
dis[v][0] = w + mp[u][e.c] - e.w;
pq.push(Node(v, 0, w + mp[u][e.c] - e.w));
}
}
else
{
if(dis[v][e.c] > w)
{
dis[v][e.c] = w;
pq.push(Node(v, e.c, w));
}
int64_t min_ = min((int64_t) e.w, mp[u][e.c] - e.w);
if(dis[v][0] > w + min_)
{
dis[v][0] = w + min_;
pq.push(Node(v, 0, w + min_));
}
}
}
}
}
int modsub(int t1, int t2)
{
int64_t res = t1 - t2;
if(res < 0) res += MOD;
return res;
}
int modadd(int t1, int t2)
{
int64_t res = t1 + t2;
if(res >= MOD) res -= MOD;
return res;
}
int modmul(int t1, int t2)
{
int64_t res = 1LL * t1 * t2;
return (res % MOD);
}
bool BIT(int mask, int j)
{
return (mask & MASK(j));
}
int64_t MASK(int j)
{
return (1LL << j);
}
int64_t Abs(int64_t t1)
{
if(t1 < 0) return -t1;
return t1;
}
};
void __startup()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
}
int main()
{
__startup();
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
Solution().solve();
}
return 0;
}
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