//#define NDEBUG #pragma warning(disable : 4146) #include namespace n91 { using i32 = std::int32_t; using i64 = std::int64_t; using u32 = std::uint32_t; using u64 = std::uint64_t; using isize = std::ptrdiff_t; using usize = std::size_t; using f64 = double; #ifdef _MSC_VER using i128 = i64; using u128 = u64; #else using i128 = __int128_t; using u128 = __uint128_t; #endif struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T& value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T& a, const T& b) noexcept { return a < b ? b - a : a - b; } template void chmin(T& a, const T& b) noexcept { if (b < a) a = b; } template void chmax(T& a, const T& b) noexcept { if (a < b) a = b; } template class rec_lambda { F f; public: rec_lambda(F&& f_) : f(std::forward(f_)) {} template auto operator()(Args &&... args) const { return f(*this, std::forward(args)...); } }; template T scan() { T ret; std::cin >> ret; return ret; } constexpr char eoln = '\n'; i64 floor_div(const i64 n, const i64 d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } i64 ceil_div(const i64 n, const i64 d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } #ifdef N91_LOCAL #define OJ_LOCAL(a, b) b #else #define OJ_LOCAL(a, b) a #endif } // namespace n91 #include using mint = atcoder::modint998244353; namespace n91 { void main_() { const usize n = scan(); auto h = md_vec(n, n, i32()); for (auto& r : h) { for (auto& e : r) { std::cin >> e; } } auto x = md_vec(n, n, char()); for (auto& r : x) { for (auto& e : r) { std::cin >> e; } } auto a = md_vec(n - 1, n, i32()); for (auto& r : a) { for (auto& e : r) { std::cin >> e; } } auto b = md_vec(n, n - 1, i32()); for (auto& r : b) { for (auto& e : r) { std::cin >> e; } } for (const usize i : rep(0, n)) { for (const usize j : rep(0, n)) { if ((i ^ j) & 1) { h[i][j] *= -1; if (x[i][j] == '+' || x[i][j] == '-') { x[i][j] ^= '+' ^ '-'; } } } } std::vector>> g(n * n + 1); for (auto& e : g) e.reserve(5); for (const usize i : rep(0, n - 1)) { for (const usize j : rep(0, n)) { const i64 cost = difference(h[i][j], h[i + 1][j]) * a[i][j]; const i64 pot = h[i][j] - h[i + 1][j]; g[i * n + j].emplace_back((i + 1) * n + j, cost + pot); g[(i + 1) * n + j].emplace_back(i * n + j, cost - pot); } } for (const usize i : rep(0, n)) { for (const usize j : rep(0, n - 1)) { const i64 cost = difference(h[i][j], h[i][j + 1]) * b[i][j]; const i64 pot = h[i][j] - h[i][j + 1]; g[i * n + j].emplace_back(i * n + (j + 1), cost + pot); g[i * n + (j + 1)].emplace_back(i * n + j, cost - pot); } } for (const usize i : rep(0, n)) { for (const usize j : rep(0, n)) { if (x[i][j] == '+' || x[i][j] == '=') { g[i * n + j].emplace_back(n * n, 0); } if (x[i][j] == '-' || x[i][j] == '=') { g[n * n].emplace_back(i * n + j, 0); } } } const i128 inf = OJ_LOCAL(1e35, 1e18); const auto dijk = [&](const auto& g) -> std::vector { std::vector dist(n * n + 1, inf); struct node { i32 v; i128 c; bool operator<(const node& r) const { return c > r.c; } }; std::priority_queue pq; const auto push = [&](const i32 v, const i128 d) { if (dist[v] > d) { dist[v] = d; pq.push({ v, d }); } }; push(n * n, 0); while (!pq.empty()) { const auto [v, d] = pq.top(); pq.pop(); if (dist[v] < d) continue; for (const auto& [u, c] : g[v]) push(u, d + c); } return dist; }; const auto upper = dijk(g); const auto lower = [&] { decltype(g) rg(n * n + 1); for (auto& e : rg) e.reserve(5); for (const usize i : rep(0, n* n + 1)) { for (const auto& [j, c] : g[i]) { rg[j].emplace_back(i, c); } } return dijk(rg); }(); const usize q = scan(); for (const usize i : rep(0, q)) { const usize r = scan() - 1; const usize c = scan() - 1; const i64 e = scan(); bool ans; if ((r ^ c) & 1) { ans = (-h[r][c] + lower[r * n + c]) >= e; } else { ans = (h[r][c] + upper[r * n + c]) >= e; } std::cout << (ans ? "Yes" : "No") << eoln; } } } // namespace n91 int main() { //* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ std::cout << std::fixed << std::setprecision(20); n91::main_(); return 0; }