#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include using namespace std; using namespace atcoder; #define overload4(_1, _2, _3, _4, name, ...) name #define rep1(n) for(int i = 0; i < (int)(n); ++i) #define rep2(i, n) for(int i = 0; i < (int)(n); ++i) #define rep3(i, a, b) for(int i = (a); i < (int)(b); ++i) #define rep4(i, a, b, c) for(int i = (a); i < (int)(b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; --i) #define ALL(a) a.begin(), a.end() #define Sort(a) sort(a.begin(), a.end()) #define RSort(a) sort(a.rbegin(), a.rend()) typedef long long int ll; typedef unsigned long long ul; typedef long double ld; typedef vector vi; typedef vector vll; typedef vector vc; typedef vector vst; typedef vector vd; typedef vector vld; typedef pair P; template long long sum(const T& a){ return accumulate(a.begin(), a.end(), 0LL); } template auto min(const T& a){ return *min_element(a.begin(), a.end()); } template auto max(const T& a){ return *max_element(a.begin(), a.end()); } const long long MINF = 0x7fffffffffff; const long long INF = 0x1fffffffffffffff; const long long MOD = 998244353; const long double EPS = 1e-9; const long double PI = acos(-1); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const pair &p){ os << "(" << p.first << ", " << p.second << ")"; return os; } template istream &operator>>(istream &is, vector &v){ for(T &in : v) is >> in; return is; } template ostream &operator<<(ostream &os, const vector &v){ for(int i = 0; i < (int) v.size(); ++i){ os << v[i] << (i + 1 != (int) v.size() ? " " : ""); } return os; } template ostream &operator<<(ostream &os, const map &mp){ for(auto &[key, val] : mp){ os << key << ":" << val << " "; } return os; } template ostream &operator<<(ostream &os, const set &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, const multiset &st){ auto itr = st.begin(); for(int i = 0; i < (int)st.size(); ++i){ os << *itr << (i + 1 != (int)st.size() ? " " : ""); itr++; } return os; } template ostream &operator<<(ostream &os, queue q){ while(q.size()){ os << q.front() << " "; q.pop(); } return os; } template ostream &operator<<(ostream &os, deque q){ while(q.size()){ os << q.front() << " "; q.pop_front(); } return os; } template ostream &operator<<(ostream &os, stack st){ while(st.size()){ os << st.top() << " "; st.pop(); } return os; } template ostream &operator<<(ostream &os, priority_queue pq){ while(pq.size()){ os << pq.top() << " "; pq.pop(); } return os; } template inline T vin(T& vec, U n) { vec.resize(n); for(int i = 0; i < (int) n; ++i) cin >> vec[i]; return vec; } template inline void vout(T vec, string s = "\n"){ for(auto x : vec) cout << x << s; } template void in(T&... a){ (cin >> ... >> a); } void out(){ cout << '\n'; } template void out(const T& a, const Ts&... b){ cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; } template void inGraph(vector>& G, U n, U m, bool directed = false){ G.resize(n); for(int i = 0; i < m; ++i){ int a, b; cin >> a >> b; a--, b--; G[a].push_back(b); if(!directed) G[b].push_back(a); } } template vector dijkstra(const vector>> &G, T x){ const long long INF = 0x1fffffffffffffff; vector cost((int) G.size(), INF); using P = pair; priority_queue, greater<>> q; cost[x] = 0; q.emplace(0, x); while(q.size()){ auto [c, at] = q.top(); q.pop(); if(c > cost[at]) continue; for(auto& [to, t] : G[at]){ if(cost[to] > c + t){ cost[to] = c + t; q.emplace(cost[to], to); } } } return cost; } ll n, m, k, T; vll a, b, c, d; void input(){ in(n, m, k, T); a.resize(k), b.resize(k), c.resize(k), d.resize(k); rep(i, k) in(a[i], b[i], c[i], d[i]); } ll id(ll t, ll i, ll j){ t += (n + m - 2); return t * (n * m) + i * (m) + j; } vll dx = {0, 1}; vll dy = {1, 0}; void solve(){ if(T >= n + m - 2){ out(0); return; } rep(i, k) a[i]--, b[i]--; vector>> G(n * m * (n + m - 2) * 2); rep(t, -(n + m - 2), n + m - 2){ rep(i, n) rep(j, m){ rep(dir, 2){ ll x = i + dx[dir], y = j + dy[dir]; if(0 <= x && x < n && 0 <= y && y < m && t < n + m - 3){ G[id(t, i, j)].push_back({id(t + 1, x, y), 0}); G[id(t, x, y)].push_back({id(t + 1, i, j), 0}); } } } rep(i, k){ ll prev = max(-(n + m - 2), t - c[i] + 1); G[id(t, a[i], b[i])].push_back({id(prev, a[i], b[i]), d[i]}); } } vll cost = dijkstra(G, id(0, 0, 0)); ll ans = INF; rep(t, -(n + m - 2), n + m - 2){ rep(i, n) rep(j, m){ ll need = (n - i - 1) + (m - j - 1); if(need + t <= T){ chmin(ans, cost[id(t, i, j)]); } } } if(ans == INF){ out(-1); }else{ out(ans); } } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); cout << fixed << setprecision(20); input(); solve(); }