This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// vaziat meshki-ghermeze !
#include <bits/stdc++.h>
#define pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'
using namespace std;
typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<int, int> pii;
const ll Mod = 1000000007LL;
const int N = 4e5 + 10;
const ll Inf = 2242545357980376863LL;
const ll Log = 30;
int to[N], c[N], p[N], m = 2;
vector<int> G[N];
ll dis[3][N]; // 0 -> Null, 1 -> fixed
ll sm[N], cost[N];
int nl[N], cn[N];
map<int, int> mp[N];
map<int, vector<int>> g[N];
int main(){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n, _m;
cin >> n >> _m;
int u, v;
for(int i = 0; i < _m; i++){
cin >> u >> v >> c[m] >> p[m];
c[m + 1] = c[m]; p[m + 1] = p[m];
to[m] = v; to[m + 1] = u;
G[u].pb(m);
G[v].pb(m + 1);
g[u][c[m]].pb(m);
g[v][c[m]].pb(m + 1);
m += 2;
}
to[0] = 1;
to[1] = -1;
c[0] = c[1] = _m + 2;
for(int i = 1; i <= n; i++){
for(auto e : G[i]){
sm[c[e]] += p[e];
}
for(auto e : G[i]){
cost[e] = sm[c[e]] - p[e];
}
for(auto e : G[i]){
sm[c[e]] -= p[e];
}
}
memset(dis, 31, sizeof dis);
dis[0][0] = 0;
set< pair<ll, pii> > st;
st.insert({0, {0, 0}});
ll ans = Inf;
// memset(la, -1, sizeof la);
while(!st.empty()){
pii fr = st.begin() -> S;
st.erase(st.begin());
ll d = dis[fr.F][fr.S];
int ed = fr.S;
u = to[fr.S];
if(fr.F == 0){
// mp[u][c[ed]] ++;
// if(mp[u][c[ed]] > N) continue;
// mp[u][c[ed]] ++;
// } else {
// }
nl[u] ++;
if(nl[u] > 2) continue;
} else if (fr.F == 1){
cn[u] ++;
if(cn[u] > 2) continue;
// cn[u] ++;
// if(cn[u] > 2) continue;
// if(la[u] == c[ed]) continue;
// la[u] = c[ed];
// cn[u] ++;
// if(cn[u] > 2) continue;
} else {
mp[u][c[ed]] ++;
if(mp[u][c[ed]] > 2)
continue;
}
// cerr << "## " << d << ' ' << ed << ' ' << u << '\n';
for(auto nx : (fr.F == 2 ? g[u][c[ed]] : G[u] ) ){
if((nx ^ 1) == ed) continue;
// cerr << "! " << ' ' << nx << '\n';
for(int ch = 0; ch < 3; ch ++){
if(fr.F == 2 && ch != 1)
continue;
if(fr.F == 2 && c[ed] != c[nx])
continue;
ll cst = cost[nx];
if(ch == 0) cst = p[nx];
// if(ch == 1 && c[ed] == c[nx] && fr.F == 0)
// cst -= p[ed];
if(ch == 2)
cst = 0;
// cerr << "^ " << dis[c]
if(dis[ch][nx] > d + cst){
// st.erase({dis[ch][nx], {ch, nx}});
dis[ch][nx] = d + cst;
st.insert({dis[ch][nx], {ch, nx}});
}
}
}
if(u == n && fr.F != 2)
ans = min(ans, d);
}
cout << (ans == Inf ? -1 : ans) << '\n';
return 0;
}
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