#include using namespace std; const int MAXP = 105; const int MAXN = 5005; int n, p, m; unordered_set banned; vector> propagate; int dp[2][1024 + 10]; inline int char_to_bit(char c) { return c == '.' ? 0 : 1; } void input() { scanf("%d%d%d", &n, &p, &m); for (int i = 0; i < p; i++) { char s[5]; int value = 0, d = 1; for (int k = 0; k < 3; k++) { scanf("%s", s); value += (char_to_bit(s[0]) + char_to_bit(s[1]) * 2 + char_to_bit(s[2]) * 4) * d; d *= 8; } banned.insert(value); } } pair> get_pieces_values(int db, int sb) { int tab[5][3]; for (int i = 0; i < 5; i++) { tab[i][0] = (db >> (i*2)) & 1; tab[i][1] = (db >> (i*2 + 1)) & 1; tab[i][2] = (sb >> i) & 1; } int res[3]; for (int k = 0; k < 3; ++k) { int value = 0, d = 1; for (int i = k; i < k + 3; ++i) { value += (tab[i][0] + tab[i][1] * 2 + tab[i][2] * 4) * d; d *= 8; } res[k] = value; } return {res[0], {res[1], res[2]}}; } int combine(int db, int sb) { int res = (db >> 1) & 0x155; for (int i = 0; i < 5; i++) { res |= ((sb >> i) & 1) << (2*i + 1); } return res; } void preproces() { const int db = (1<<10); // double bar const int sb = (1<<5); // single bar for (int db_mask = 0; db_mask < db; ++db_mask) { for (int sb_mask = 0; sb_mask < sb; ++sb_mask) { auto pieces = get_pieces_values(db_mask, sb_mask); if (banned.count(pieces.first) || banned.count(pieces.second.first) || banned.count(pieces.second.second)) continue; int db2_mask = combine(db_mask, sb_mask); propagate.push_back({db_mask, db2_mask}); } } } int compute_dp() { int K = 1; for (int i = 0; i < 1024; i++) { dp[0][i] = 1; } for (int i = 2; i < n; i++) { for (auto pp: propagate) { int p1 = pp.first, p2 = pp.second; dp[K][p2] += dp[K^1][p1]; dp[K][p2] %= m; } K ^= 1; for (int j = 0; j < 1024; ++j) { dp[K][j] = 0; } } K ^= 1; int result = 0; for (int i = 0; i < 1024; i++) { result += dp[K][i]; result %= m; } return result; } int main() { input(); preproces(); printf("%d\n", compute_dp()); }