This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#define FIXED_FLOAT(x) std::fixed <<std::setprecision(20) << (x)
#define all(v) (v).begin(), (v).end()
using namespace std;
#define forn(i,n) for (int i = 0; i < (n); ++i)
#define rforn(i, n) for(int i = (n) - 1;i >= 0;--i)
#define sz(x) (int)x.size()
#define ff first
#define se second
#define mp make_pair
using ll = long long;
int mod = (ll)1e9 + 7;
const int INF = 1e9 + 1;
const int N = 205;
const double eps = 1e-7;
template <class T> using V = vector<T>;
template <class T> using VV = V<V<T>>;
template<class T, size_t SZ> using AR = array<T, SZ>;
template<class T> using PR = pair<T, T>;
template <typename XPAX>
bool ckma(XPAX &x, XPAX y) {
return (x < y ? x = y, 1 : 0);
}
template <typename XPAX>
bool ckmi(XPAX &x, XPAX y) {
return (x > y ? x = y, 1 : 0);
}
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ','; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? "," : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "[" << #x << "] = ["; _print(x)
const int MX = 5e5 + 10;
const ll inf = 1e17;
int A[MX], B[MX], C[MX], D[MX];
int n, m;
vector<int> g[N][2];
void dij(int fr, int tr, int tp, vector<ll>& d, vector<bool> &vis) {
d.resize(n + 1, inf);
vis.resize(m + 1, false);
vector<bool> seen(n + 1, false);
vector<int> par(n + 1, -1);
d[fr] = 0;
while(1) {
int v = n;
forn(i, n) if(!seen[i]&& d[i]<d[v])v = i;
if(v == n)break;
seen[v] = true;
for(int i : g[v][tp]) {
int y = A[i] ^ B[i] ^ v;
if(d[v]+C[i] < d[y]) {
d[y] = d[v]+C[i];
par[y] = i;
}
}
}
if(tp)return;
int y = tr;
while(par[y] != -1) {
vis[par[y]] = true;
y = A[par[y]];
}
}
ll without(int fr, int tr, int cant) {
vector<ll> d(n + 1, inf);
vector<bool> vis(n + 1, false);
d[fr] = 0;
while(1) {
int v = n;
forn(i, n) if(!vis[i]&&d[i]<d[v])v = i;
if(v == n)break;
vis[v] = true;
for(int i : g[v][0]) if(i != cant) {
int y = A[i] ^ B[i] ^ v;
if(d[v]+C[i] < d[y]) {
d[y] = d[v]+C[i];
}
}
if(B[cant] == v) {
ckmi(d[A[cant]], d[v]+C[cant]);
}
}
return d[tr];
}
void solve() {
cin >> n >> m;
for(int i = 0;i < m;++i) {
cin >> A[i] >> B[i] >> C[i] >> D[i];
--A[i];
--B[i];
g[A[i]][0].push_back(i);
g[B[i]][1].push_back(i);
}
vector<bool> vis1, vis2, tmp;
vector<ll> d1, d2, d3, d4;
dij(0, n - 1,0, d1, vis1);
dij(n - 1, 0, 0, d2, vis2);
dij(0, n - 1, 1, d3, tmp);
dij(n - 1, 0,1, d4, tmp);
ll res = inf;
for(int i = 0;i < m;++i) {
ll cost = D[i];
if(vis1[i])cost += without(0, n - 1, i);
else cost += min(d1[n - 1], d1[B[i]]+C[i]+d4[A[i]]);
if(vis2[i]) cost += without(n - 1, 0, i);
else cost += min(d2[0], d2[B[i]]+C[i]+d3[A[i]]);
//debug(i, cost);
ckmi(res, cost);
}
cout << (res == inf ? -1 : res) << '\n';
}
void test_case() {
int t;
cin >> t;
forn(p, t) {
//cout << "Case #" << p + 1 << ": ";
solve();
}
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
solve();
}
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