#include #define FOR(i, n, m) for(ll i = n; i < (int)m; i++) #define REP(i, n) FOR(i, 0, n) #define ALL(v) v.begin(), v.end() #define pb push_back using namespace std; using ll = std::int_fast64_t; using P = pair; constexpr ll inf = 1000000000; constexpr ll mod = 998244353; constexpr long double eps = 1e-15; template ostream& operator<<(ostream& os, pair p) { os << to_string(p.first) << " " << to_string(p.second); return os; } template ostream& operator<<(ostream& os, vector& v) { REP(i, v.size()) { if(i) os << " "; os << to_string(v[i]); } return os; } struct modint { ll n; public: modint(const ll n = 0) : n((n % mod + mod) % mod) {} static modint pow(modint a, int m) { modint r = 1; while(m > 0) { if(m & 1) { r *= a; } a = (a * a); m /= 2; } return r; } modint &operator++() { *this += 1; return *this; } modint &operator--() { *this -= 1; return *this; } modint operator++(int) { modint ret = *this; *this += 1; return ret; } modint operator--(int) { modint ret = *this; *this -= 1; return ret; } modint operator~() const { return (this -> pow(n, mod - 2)); } // inverse friend bool operator==(const modint& lhs, const modint& rhs) { return lhs.n == rhs.n; } friend bool operator<(const modint& lhs, const modint& rhs) { return lhs.n < rhs.n; } friend bool operator>(const modint& lhs, const modint& rhs) { return lhs.n > rhs.n; } friend modint &operator+=(modint& lhs, const modint& rhs) { lhs.n += rhs.n; if (lhs.n >= mod) lhs.n -= mod; return lhs; } friend modint &operator-=(modint& lhs, const modint& rhs) { lhs.n -= rhs.n; if (lhs.n < 0) lhs.n += mod; return lhs; } friend modint &operator*=(modint& lhs, const modint& rhs) { lhs.n = (lhs.n * rhs.n) % mod; return lhs; } friend modint &operator/=(modint& lhs, const modint& rhs) { lhs.n = (lhs.n * (~rhs).n) % mod; return lhs; } friend modint operator+(const modint& lhs, const modint& rhs) { return modint(lhs.n + rhs.n); } friend modint operator-(const modint& lhs, const modint& rhs) { return modint(lhs.n - rhs.n); } friend modint operator*(const modint& lhs, const modint& rhs) { return modint(lhs.n * rhs.n); } friend modint operator/(const modint& lhs, const modint& rhs) { return modint(lhs.n * (~rhs).n); } }; istream& operator>>(istream& is, modint m) { is >> m.n; return is; } ostream& operator<<(ostream& os, modint m) { os << m.n; return os; } #define MAX_N 3030303 long long extgcd(long long a, long long b, long long& x, long long& y) { long long d = a; if (b != 0) { d = extgcd(b, a % b, y, x); y -= (a / b) * x; } else { x = 1; y = 0; } return d; } long long mod_inverse(long long a, long long m) { long long x, y; if(extgcd(a, m, x, y) == 1) return (m + x % m) % m; else return -1; } vector fact(MAX_N+1, inf); long long mod_fact(long long n, long long& e) { if(fact[0] == inf) { fact[0]=1; if(MAX_N != 0) fact[1]=1; for(ll i = 2; i <= MAX_N; ++i) { fact[i] = (fact[i-1] * i) % mod; } } e = 0; if(n == 0) return 1; long long res = mod_fact(n / mod, e); e += n / mod; if((n / mod) % 2 != 0) return (res * (mod - fact[n % mod])) % mod; return (res * fact[n % mod]) % mod; } // return nCk long long mod_comb(long long n, long long k) { if(n < 0 || k < 0 || n < k) return 0; long long e1, e2, e3; long long a1 = mod_fact(n, e1), a2 = mod_fact(k, e2), a3 = mod_fact(n - k, e3); if(e1 > e2 + e3) return 0; return (a1 * mod_inverse((a2 * a3) % mod, mod)) % mod; } using mi = modint; template struct segment_tree { private: int n; const function op; const T ie; vector seq; public: segment_tree(int _n, function op, const T ie) : op(op), ie(ie) { n = 1; while(n < _n) n *= 2; seq.resize(2 * n - 1); for(int i = 0; i < 2 * n - 1; i++) seq[i] = ie; } void update(int k, const T e) { k += n - 1; seq[k] = e; while(k > 0) { k = (k - 1) / 2; seq[k] = op(seq[k * 2 + 1], seq[k * 2 + 2]); } } T get(int k) { k += n - 1; return seq[k]; } T query(int a, int b, int k = 0, int l = 0, int r = -1) { if(r == -1) r = n; if(r <= a || b <= l) return ie; if(a <= l && r <= b) return seq[k]; T vl = query(a, b, k * 2 + 1, l, (l + r) / 2); T vr = query(a, b, k * 2 + 2, (l + r) / 2, r); return op(vl, vr); } }; // segment_tree rsq(n, [] (ll a, ll b) { return a + b; }, 0) // segment_tree rMq(n, [] (ll a, ll b) { return max(a, b); }, -1e18) // segment_tree rmq(n, [] (ll a, ll b) { return min(a, b); }, 1e18) int n; void calc(int pos, vector& a, segment_tree& seg) { if(pos + 24 > n) return; if(pos < 0) return; int sum = 0; REP(i, 24) sum += a[pos + i]; seg.update(pos, sum); return; } vector>> ans1(121, vector>(250, vector(250, inf))); vector>> ans2(501, vector>(250, vector(250, -1))); int dx[] = {1, -1, 0, 0}, dy[] = {0, 0, 1, -1}; int h, w; int gx, gy; vector> a; int memo(int r, int x, int y) { if(x < 0 || x >= h || y < 0 || y >= w) return inf; if(ans2[r][x][y] != -1) return ans2[r][x][y]; if(x == gx && y == gy) return ans2[r][x][y] = a[gx][gy]; int ret = inf; if(x == gx) { if(r) ret = min({ret, memo(r - 1, x - 1, y), memo(r - 1, x + 1, y)}); } else if(x > gx) { ret = min(ret, memo(r, x - 1, y)); if(r) ret = min(ret, memo(r - 1, x + 1, y)); } else { ret = min(ret, memo(r, x + 1, y)); if(r) ret = min(ret, memo(r - 1, x - 1, y)); } if(y == gy) { if(r) ret = min({ret, memo(r - 1, x, y - 1), memo(r - 1, x, y + 1)}); } else if(y > gy) { ret = min(ret, memo(r, x, y - 1)); if(r) ret = min(ret, memo(r - 1, x, y + 1)); } else { ret = min(ret, memo(r, x, y + 1)); if(r) ret = min(ret, memo(r - 1, x, y - 1)); } return ans2[r][x][y] = ret + a[x][y]; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> h >> w; cin >> gx >> gy; gx--; gy--; a.assign(h, vector(w)); REP(i, h) REP(j, w) cin >> a[i][j]; FOR(i, 1, 121) { ans1[i][gx][gy] = a[gx][gy] + i * i; priority_queue>, vector>>, greater>>> q; q.push({a[gx][gy] + i * i, {gx, gy}}); while(!q.empty()) { int cost = q.top().first; pair pos = q.top().second; q.pop(); if(cost != ans1[i][pos.first][pos.second]) continue; REP(j, 4) { pair np = {pos.first + dx[j], pos.second + dy[j]}; if(np.first >= 0 && np.first < h && np.second >= 0 && np.second < w && ans1[i][np.first][np.second] > cost + a[np.first][np.second] + i * i) { ans1[i][np.first][np.second] = cost + a[np.first][np.second] + i * i; q.push({ans1[i][np.first][np.second], np}); } } } } REP(i, 501) REP(j, h) REP(k, w) { memo(i, j, k); } int q; cin >> q; REP(i, q) { int x, y; ll k; cin >> x >> y >> k; x--; y--; if(k <= 120) { cout << ans1[k][x][y] << "\n"; } else { ll c = abs(gx - x) + abs(gy - y) + 1; ll ans = inf * inf; REP(j, 501) { ans = min(ans, ans2[j][x][y] + (c + j) * k * k); } cout << ans << "\n"; } } return 0; }