This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
IN THE NAME OF GOD
*/
#include <bits/stdc++.h>
// #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// #pragma GCC optimize("O3")
// #pragma GCC optimize("unroll-loops")
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
typedef long double ld;
#define F first
#define S second
#define Mp make_pair
#define pb push_back
#define pf push_front
#define size(x) ((ll)x.size())
#define all(x) (x).begin(),(x).end()
#define kill(x) cout << x << '\n', exit(0);
#define fuck(x) cout << "(" << #x << " , " << x << ")" << endl
#define endl '\n'
const int N = 3e5+23, lg = 18;
ll Mod = 1e9+7; //998244353;
inline ll MOD(ll a, ll mod=Mod) {a%=mod; (a<0)&&(a+=mod); return a;}
inline ll poww(ll a, ll b, ll mod=Mod) {
ll ans = 1;
a=MOD(a, mod);
while (b) {
if (b & 1) ans = MOD(ans*a, mod);
b >>= 1;
a = MOD(a*a, mod);
}
return ans;
}
ll n, m, vis[N], d[N];
vector<vector<ll>> adj[N];
int main () {
ios_base::sync_with_stdio(false), cin.tie(0);
cin>>n>>m;
for(ll v,u,c,p,i=1; i<=m; i++) {
cin>>v>>u>>c>>p;
adj[v].pb({u, c, p});
adj[u].pb({v, c, p});
}
priority_queue<pll, vector<pll>, greater<pll>> pq;
pq.push({0, 1});
while(size(pq) > 0) {
pll v = pq.top(); pq.pop();
if(vis[v.S] == 1) continue;
vis[v.S]=1, d[v.S] = v.F;
map<int,ll> mp, mp2;
for(auto it : adj[v.S]) {
mp[it[1]] += it[2];
if(vis[it[0]] == 1) {
if(mp2.find(it[1]) == mp2.end()) mp2[it[1]]=d[it[0]];
else mp2[it[1]]=min(mp2[it[1]], d[it[0]]);
}
}
for(auto it : adj[v.S]) {
if(vis[it[0]]==0) {
pq.push({v.F+min(it[2],mp[it[1]]-it[2]), it[0]});
if(mp2.find(it[1]) != mp2.end()) {
pq.push({mp2[it[1]]+mp[it[1]]-it[2], it[0]});
}
}
}
}
cout<<(vis[n]==0 ? -1 : d[n])<<endl;
return 0;
}
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