/* Problem URL: https://codeforces.com/contest/2091/problem/F */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; void pre() { } #define TEST 1 void solve() { int n, m, d; cin >> n >> m >> d; int prev = d; d *= d; V a(n); cin >> a; const ll mod = 998244353; vvl dp(n, vl(m + 1)); dp[n - 1][0] = 1; int now = n - 1; auto dis = [&](ll x1, ll y1, ll x2, ll y2) { ll x = x1 - x2; ll y = y1 - y2; return x*x + y*y; }; while (true) { nrep(i, 1, m + 1) { dp[now][i] = (dp[now][i] + dp[now][i - 1]) % mod; } dp[now][0] = 0; nrep(i, 1, m + 1) { if (a[now][i - 1] == '#') { dp[now][i] = 0; } } nrep(i, 1, m + 1) { dp[now][i] = (dp[now][i] + dp[now][i - 1]) % mod; } if (now == 0) { break; } nrep(i, 1, m + 1) { if (a[now][i - 1] == '#') { continue; } ll sum = ((dp[now][min(i + prev, m)] - dp[now][max(i - prev - 1, 0)]) % mod + mod) % mod; int cur = now - 1; int act = i - prev; while (dis(cur, act, now, i) > d) { act++; } int other = (i << 1) - act; dp[cur][max(act, 0)] += sum; dp[cur][max(act, 0)] %= mod; if (other < m) { dp[cur][other + 1] -= sum; dp[cur][other + 1] += mod * (dp[cur][other + 1] < 0); } cur--; } now--; } ll ans = 0; nrep(i, 1, m + 1) { if (a[0][i - 1] == '#') { continue; } ans = ((ans + dp[0][min(i + prev, m)] - dp[0][max(i - prev - 1, 0)]) % mod + mod) % mod; } cout << ans << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }