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<bits/stdc++.h>
using namespace std;
#define fast ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define in insert
#define all(x) x.begin(),x.end()
#define pb push_back
#define eb emplace_back
#define ff first
#define ss second
#define int long long
typedef long long ll;
typedef vector<int> vi;
typedef set<int> si;
typedef multiset<int> msi;
typedef pair<int, int> pii;
typedef vector<pii> vpii;
template<typename T, typename U>
ostream & operator << (ostream &out, const pair<T, U> &c) {
out << c.first << ' ' << c.second;
return out;
}
template<typename T>
ostream & operator << (ostream &out, vector<T> &v) {
const int sz = v.size();
for (int i = 0; i < sz; i++) {
if (i) out << ' ';
out << v[i];
}
return out;
}
template<typename T>
istream & operator >> (istream &in, vector<T> &v) {
for (T &x : v) in >> x;
return in;
}
template<typename T>
void mxx(T &a, T b){if(b > a) a = b;}
template<typename T>
void mnn(T &a, T b){if(b < a) a = b;}
const int mxn = 1e5 + 10, inf = 1e18 + 10;
int dp[mxn];
map<int, int> mn[mxn], sum[mxn];
map<int, vector<pair<int, int>>> adj[mxn];
vector<array<int, 3>> g[mxn];
void go() {
int n, m;
cin >> n >> m;
for(int i = 1; i <= m; i++) {
int a, b, c, p;
cin >> a >> b >> c >> p;
g[a].pb({b, c, p});
g[b].pb({a, c, p});
adj[a][c].pb({b, p});
adj[b][c].pb({a, p});
sum[a][c] += p;
sum[b][c] += p;
}
for(int i = 1; i <= n; i++) {
dp[i] = inf;
}
dp[1] = 0;
priority_queue<array<int, 3>, vector<array<int, 3>>, greater<array<int, 3>>> q;
q.push({0, 1, 0});
while(q.size()) {
auto tmp = q.top();
int my = tmp[0];
int to = tmp[1];
int tp = tmp[2];
q.pop();
if(tp) {
if(my != mn[to][tp]) continue;
for(auto it : adj[to][tp]) {
int x = it.ff;
int p = it.ss;
int kk = sum[to][tp];
if(my + kk - p < dp[x]) {
dp[x] = my + kk - p;
q.push({dp[x], x, 0});
}
}
continue;
}
if(my != dp[to]) continue;
for(auto it : g[to]) {
int x = it[0];
int c = it[1];
int p = it[2];
int kk = sum[to][c];
if(my + kk - p < dp[x]) {
dp[x] = my + kk - p;
q.push({dp[x], x, 0});
}
if(my + p < dp[x]) {
dp[x] = my + p;
q.push({dp[x], x, 0});
}
if(!mn[x].count(c) || mn[x][c] > my) {
mn[x][c] = my;
q.push({my, x, c});
}
}
}
if(dp[n] == inf) dp[n] = -1;
cout << dp[n] << '\n';
}
signed main() {
fast;
int t = 1;
// cin >> t;
while(t--) {
go();
}
return 0;
}
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