#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } void dijkstra(vvpll &graph, ll v, vl &dist) { priority_queue> pque; pque.push(pll(0, v)); dist[v] = 0; while (pque.size()) { pll p = pque.top(); pque.pop(); if (dist[p.second] != p.first) { continue; } for (auto x : graph[p.second]) { if (dist[x.first] > dist[p.second] + x.second) { dist[x.first] = dist[p.second] + x.second; pque.push(pll(dist[x.first], x.first)); } } } } int main() { ll N; cin >> N; vector> H(N, vector(N)); for (ll i = 0; i < N; i++) { for (ll j = 0; j < N; j++) { cin >> H[i][j]; } } vector S(N); for (ll i = 0; i < N; i++) { cin >> S[i]; } vector> A(N - 1, vector(N)); for (ll i = 0; i < N - 1; i++) { for (ll j = 0; j < N; j++) { cin >> A[i][j]; } } vector> B(N, vector(N - 1)); for (ll i = 0; i < N; i++) { for (ll j = 0; j < N - 1; j++) { cin >> B[i][j]; } } ll Q; cin >> Q; vector R(Q); vector C(Q); vector E(Q); for (ll i = 0; i < Q; i++) { cin >> R[i] >> C[i] >> E[i]; R[i]--; C[i]--; } vector> graph1(N * N + 1, vector(0)); // 順辺のグラフ vector> graph2(N * N + 1, vector(0)); // 逆辺のグラフ for (ll i = 0; i < N - 1; i++) { for (ll j = 0; j < N; j++) { ll s = H[i][j] + H[i + 1][j]; if ((i + j) % 2 == 1) { graph1[i * N + j].push_back( pll((i + 1) * N + j, A[i][j] * abs(s) - s)); graph2[(i + 1) * N + j].push_back( pll(i * N + j, A[i][j] * abs(s) - s)); graph1[(i + 1) * N + j].push_back( pll(i * N + j, A[i][j] * abs(s) + s)); graph2[i * N + j].push_back( pll((i + 1) * N + j, A[i][j] * abs(s) + s)); } else { graph2[i * N + j].push_back( pll((i + 1) * N + j, A[i][j] * abs(s) - s)); graph1[(i + 1) * N + j].push_back( pll(i * N + j, A[i][j] * abs(s) - s)); graph2[(i + 1) * N + j].push_back( pll(i * N + j, A[i][j] * abs(s) + s)); graph1[i * N + j].push_back( pll((i + 1) * N + j, A[i][j] * abs(s) + s)); } } } for (ll i = 0; i < N; i++) { for (ll j = 0; j < N - 1; j++) { ll s = H[i][j] + H[i][j + 1]; if ((i + j) % 2 == 1) { graph1[i * N + j].push_back( pll(i * N + j + 1, B[i][j] * abs(s) - s)); graph2[i * N + j + 1].push_back( pll(i * N + j, B[i][j] * abs(s) - s)); graph1[i * N + j + 1].push_back( pll(i * N + j, B[i][j] * abs(s) + s)); graph2[i * N + j].push_back( pll(i * N + j + 1, B[i][j] * abs(s) + s)); } else { graph2[i * N + j].push_back( pll(i * N + j + 1, B[i][j] * abs(s) - s)); graph1[i * N + j + 1].push_back( pll(i * N + j, B[i][j] * abs(s) - s)); graph2[i * N + j + 1].push_back( pll(i * N + j, B[i][j] * abs(s) + s)); graph1[i * N + j].push_back( pll(i * N + j + 1, B[i][j] * abs(s) + s)); } } } for (ll i = 0; i < N; i++) { for (ll j = 0; j < N; j++) { if (S[i][j] == '-') { if ((i + j) % 2 == 0) { graph1[N * N].push_back(pll(i * N + j, 0)); graph2[i * N + j].push_back(pll(N * N, 0)); } else { graph2[N * N].push_back(pll(i * N + j, 0)); graph1[i * N + j].push_back(pll(N * N, 0)); } } else if (S[i][j] == '+') { if ((i + j) % 2 == 1) { graph1[N * N].push_back(pll(i * N + j, 0)); graph2[i * N + j].push_back(pll(N * N, 0)); } else { graph2[N * N].push_back(pll(i * N + j, 0)); graph1[i * N + j].push_back(pll(N * N, 0)); } } else if (S[i][j] == '=') { graph1[i * N + j].push_back(pll(N * N, 0)); graph1[N * N].push_back(pll(i * N + j, 0)); graph2[i * N + j].push_back(pll(N * N, 0)); graph2[N * N].push_back(pll(i * N + j, 0)); } } } ll INF = 4000000000000000002; vector dist1(N * N + 1, INF); vector dist2(N * N + 1, INF); dist1[N * N] = 0; dist2[N * N] = 0; dijkstra(graph1, N * N, dist1); dijkstra(graph2, N * N, dist2); for (ll i = 0; i < Q; i++) { if ((R[i] + C[i]) % 2 == 0) { if (H[R[i]][C[i]] + dist1[R[i] * N + C[i]] >= E[i]) { cout << "Yes" << endl; } else { cout << "No" << endl; } } else { if (H[R[i]][C[i]] + dist2[R[i] * N + C[i]] >= E[i]) { cout << "Yes" << endl; } else { cout << "No" << endl; } } } }