This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0324"
#include <iostream>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>
static const int MOD = 1000000007;
using ll = long long;
using uint = unsigned;
using ull = unsigned long long;
using namespace std;
template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
template <typename T>
struct edge {
int to; T cost, cost2;
edge(int to, T cost, T cost2) : to(to), cost(cost), cost2(cost2) {}
};
#include "../util/makev.cpp"
int main() {
int n, m;
cin >> n >> m;
vector<vector<edge<int>>> G(n);
vector<int> deg(n), topo, ord(n);
for (int i = 0; i < m; ++i) {
int a, b, c, d;
cin >> a >> b >> c >> d;
a--; b--;
deg[b]++;
G[a].emplace_back(b, c, d);
}
{
queue<int> Q;
Q.emplace(0);
ord[0] = 0;
int cur = 1;
while(!Q.empty()){
int i = Q.front(); Q.pop();
topo.emplace_back(i);
for (auto &&e : G[i]) {
deg[e.to]--;
if(!deg[e.to]) {
Q.emplace(e.to);
ord[e.to] = cur++;
}
}
}
}
auto dp = make_v(n, n, INF<int>);
dp[0][0] = 0;
for (auto &&a : topo) {
for (auto &&b : topo) {
if(a == b) {
for (auto &&i : G[a]) {
for (auto &&j : G[a]) {
if (i.to == j.to) {
chmin(dp[i.to][i.to], dp[a][b] + i.cost + i.cost2);
} else {
chmin(dp[i.to][j.to], dp[a][b] + i.cost + j.cost);
}
}
}
}else if(ord[a] < ord[b]){
for (auto &&i : G[a]) {
chmin(dp[i.to][b], dp[a][b] + i.cost);
}
}else {
for (auto &&i : G[b]) {
chmin(dp[a][i.to], dp[a][b] + i.cost);
}
}
}
}
cout << dp.back().back() << "\n";
return 0;
}
#line 1 "test/aoj0335.test.cpp"
#define PROBLEM "http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=0324"
#include <iostream>
#include <algorithm>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <numeric>
#include <bitset>
#include <cmath>
static const int MOD = 1000000007;
using ll = long long;
using uint = unsigned;
using ull = unsigned long long;
using namespace std;
template<class T> constexpr T INF = ::numeric_limits<T>::max()/32*15+208;
template <typename T>
struct edge {
int to; T cost, cost2;
edge(int to, T cost, T cost2) : to(to), cost(cost), cost2(cost2) {}
};
#line 1 "util/makev.cpp"
template <class T, class U>
vector<T> make_v(U size, const T& init){ return vector<T>(static_cast<size_t>(size), init); }
template<class... Ts, class U>
auto make_v(U size, Ts... rest) { return vector<decltype(make_v(rest...))>(static_cast<size_t>(size), make_v(rest...)); }
template<class T> void chmin(T &a, const T &b){ a = (a < b ? a : b); }
template<class T> void chmax(T &a, const T &b){ a = (a > b ? a : b); }
/**
* @brief make_v, chmin, chmax
* @docs _md/makev.md
*/
#line 27 "test/aoj0335.test.cpp"
int main() {
int n, m;
cin >> n >> m;
vector<vector<edge<int>>> G(n);
vector<int> deg(n), topo, ord(n);
for (int i = 0; i < m; ++i) {
int a, b, c, d;
cin >> a >> b >> c >> d;
a--; b--;
deg[b]++;
G[a].emplace_back(b, c, d);
}
{
queue<int> Q;
Q.emplace(0);
ord[0] = 0;
int cur = 1;
while(!Q.empty()){
int i = Q.front(); Q.pop();
topo.emplace_back(i);
for (auto &&e : G[i]) {
deg[e.to]--;
if(!deg[e.to]) {
Q.emplace(e.to);
ord[e.to] = cur++;
}
}
}
}
auto dp = make_v(n, n, INF<int>);
dp[0][0] = 0;
for (auto &&a : topo) {
for (auto &&b : topo) {
if(a == b) {
for (auto &&i : G[a]) {
for (auto &&j : G[a]) {
if (i.to == j.to) {
chmin(dp[i.to][i.to], dp[a][b] + i.cost + i.cost2);
} else {
chmin(dp[i.to][j.to], dp[a][b] + i.cost + j.cost);
}
}
}
}else if(ord[a] < ord[b]){
for (auto &&i : G[a]) {
chmin(dp[i.to][b], dp[a][b] + i.cost);
}
}else {
for (auto &&i : G[b]) {
chmin(dp[a][i.to], dp[a][b] + i.cost);
}
}
}
}
cout << dp.back().back() << "\n";
return 0;
}