#include #include #include #include #include #include #include #include #include #include #include #include #include #include constexpr int MAX_INT = 2147483647; constexpr int MIN_INT = -2147483648; #define rep(n, a, b) for (int (n) = (a); (n) < (b); (n)++) #define rrep(n, a, b) for (int (n) = (a); (n) >= (b); (n)--) #define llrep(n, a, b) for (long long (n) = (a); (n) < (b); (n)++) #define llrrep(n, a, b) for (long long (n) = (a); (n) >= (b); (n)--) #define itrAll(x) (x).begin(), (x).end() #define inputvec(v) for (auto& x : v) {std::cin >> x;} using namespace std; using uint = unsigned int; using ushort = unsigned short; using byte = unsigned char; using ll = long long; using ull = unsigned long long; using ldouble = long double; using ipair = pair; using llpair = pair; template void chmin(T& v1, T v2) { if (v1 > v2) v1 = v2; } template void chmax(T& v1, T v2) { if (v1 < v2) v1 = v2; } class union_find { private: vector parent; public: union_find(size_t N) { parent = vector(N); for (size_t i = 0; i < N; i++) { parent[i] = i; } } int get_root(size_t x) { if (parent[x] == x) { return x; } else { return (parent[x] = get_root(parent[x])); } } bool unite(size_t x, size_t y) { auto rx = get_root(x), ry = get_root(y); if (rx == ry) { return false; } else { parent[rx] = ry; return true; } } bool has_same_parent(size_t x, size_t y) { return get_root(x) == get_root(y); } }; int N, M, X; struct comparer { bool operator()(tuple& l, tuple& r) { return ((ll)X * get<1>(l) + get<2>(l)) > ((ll)X * get<1>(r) + get<2>(r)); } }; int main() { cin >> N >> M >> X; vector> conn(N, vector(N, { -1, -1 })); // { 移動にかかる時間, 通行料 } union_find uf(N); // 到達可能性の確認用 rep(_, 0, M) { int ui, vi, ci, ti; cin >> ui >> vi >> ci >> ti; ui--, vi--; ipair p = { ti,ci }; conn[ui][vi] = p; conn[vi][ui] = p; uf.unite(ui, vi); } if (!uf.has_same_parent(0, N - 1)) { // 到達不能 cout << -1 << endl; return 0; } priority_queue, vector>, comparer> Q; // { 位置, 経過時間, かかったお金 } Q.push({ 0,0,0 }); while (Q.size()) { auto current = Q.top(); Q.pop(); if (get<0>(current) == N - 1) { cout << (get<1>(current) + (int)ceil((double)get<2>(current) / X)) << endl; return 0; } rep(nxt, 0, N) { auto& tc = conn[get<0>(current)][nxt]; if (tc.first >= 0) { Q.push({ nxt, get<1>(current) + tc.first, get<2>(current) + tc.second }); } } } return 0; }