#include #include #include #include #include using namespace std; const int N = 10; const int LIM = 10000; using tiii = tuple; vector G{ "@.....#.#.", "#.#.#.#...", ".#.#..#.#.", ".....#..#.", "#.#.#..##.", "...#.#.#..", ".#.#.#..#.", "..#...#.#.", "#...#....#", "..#..#.#..", }; vector>> pos(80); map dp, op; map pr; map best; void init() { map, int> dist; dist[{0, 0}] = 0; queue> q; q.push({0, 0}); while (!q.empty()) { auto [r, c] = q.front(); q.pop(); for (auto [r2, c2] : {pair{r - 1, c}, {r + 1, c}, {r, c - 1}, {r, c + 1}}) { if (0 <= r2 && r2 < N && 0 <= c2 && c2 < N && G[r2][c2] == '.' && !dist.count({r2, c2})) { dist[{r2, c2}] = dist[{r, c}] + 1; pos[dist[{r2, c2}]].emplace_back(r2, c2); q.push({r2, c2}); } } } vector sz; for (auto l : pos) { sz.push_back(l.size()); } vector> elts(62); dp[{0, 0, 1}] = 1; elts[1].emplace_back(0, 0, 1); for (int d = 0; d < 60; d++) { if (d > 1 && sz[d] == 0) { break; } while (!elts[d].empty()) { auto tt = elts[d].back(); auto [u, v, state] = tt; elts[d].pop_back(); if (0 <= u && u <= LIM && 0 <= v && v <= LIM) { if (!best.count(u)) { best[u] = tt; } } else { continue; } tiii t0 = tiii{u, v, state ^ 1}, t1, t2; if (!dp.count(t0)) { dp[t0] = d + 1; op[t0] = 0; pr[t0] = tt; elts[d + 1].push_back(t0); } if (sz[d] >= 1) { if (state % 2) { t1 = tiii{v, v, state ^ 1}; } else { t1 = tiii{u, u + v, state ^ 1}; } if (!dp.count(t1)) { dp[t1] = d + 1; op[t1] = 1; pr[t1] = tt; elts[d + 1].push_back(t1); } } if (sz[d] >= 2) { if (state % 2) { t2 = tiii{u - 1, v, state ^ 1}; } else { t2 = tiii{u + 1, v, state ^ 1}; } if (!dp.count(t2)) { dp[t2] = d + 1; op[t2] = 2; pr[t2] = tt; elts[d + 1].push_back(t2); } } } } } void solve() { int K; cin >> K; vector rev; for (auto state = best[K]; state != tiii{0, 0, 1}; state = pr[state]) { rev.push_back(op[state]); } rev.push_back(0); reverse(rev.begin(), rev.end()); vector out = G; for (int i = 0; i < (int)rev.size(); i++) { for (int x = 0; x < rev[i]; x++) { auto [r, c] = pos[i][x]; out[r][c] = '*'; } } cout << N << " " << N << endl; for (int i = 0; i < N; i++) { cout << out[i] << endl; } } int main() { init(); int T; cin >> T; for (int t = 1; t <= T; t++) { cout << "Case #" << t << ": "; solve(); } return 0; }