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 ar array
#define int long long
const int N = 1e5 + 5;
map<int, vector<ar<int, 2>>> edges[N];
map<int, int> ss[N], uu[N];
int d[N], used[N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
int n, m; cin>>n>>m;
for(int i=0;i<m;i++){
int a, b, c, p; cin>>a>>b>>c>>p;
edges[a][c].push_back({b, p});
edges[b][c].push_back({a, p});
ss[a][c] += p;
ss[b][c] += p;
}
priority_queue<ar<int, 3>, vector<ar<int, 3>>, greater<ar<int, 3>>> q;
q.push({0, 1, 0});
memset(d, 127, sizeof d);
while(!q.empty()){
int D = q.top()[0], u = q.top()[1], c = q.top()[2]; q.pop();
if(c < 0){
c = abs(c);
if(uu[u].count(c)) continue;
uu[u][c];
int& sum = ss[u][c];
for(auto x : edges[u][c]){
q.push({D + sum - x[1], x[0], 0});
}
} else if(!used[u]) {
used[u] = 1;
d[u] = D;
for(auto [c, v] : edges[u]){
int& sum = ss[u][c];
for(auto x : v){
q.push({D, x[0], -c});
q.push({D + min(sum - x[1], x[1]), x[0], 0});
}
}
}
}
if(d[n] > 1e18) cout<<-1<<"\n";
else cout<<d[n]<<"\n";
}
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