/* Problem URL: https://codeforces.com/contest/903/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 0 void solve() { int n; cin >> n; ll a1, a2, a3, a4; cin >> a1 >> a2 >> a3 >> a4; V a(4); cin >> a; vvi c(4, vi(n)); rep(i, 4) { rep(j, n) { c[i][j] += a[i][j] == '*'; if (i > 0) { c[i][j] += c[i - 1][j]; } if (j > 0) { c[i][j] += c[i][j - 1]; } if (i > 0 && j > 0) { c[i][j] -= c[i - 1][j - 1]; } } } auto get = [&](int x1, int y1, int x2, int y2) { int sum = c[y2][x2]; if (x1 > 0) { sum -= c[y2][x1 - 1]; } if (y1 > 0) { sum -= c[y1 - 1][x2]; } if (x1 > 0 && y1 > 0) { sum += c[y1 - 1][x1 - 1]; } return sum; }; auto case1 = [&](int i) { int sum1 = get(i, 0, i, 0) > 0; int sum2 = get(i, 1, i, 1) > 0; int sum3 = get(i, 2, i, 2) > 0; int sum4 = get(i, 3, i, 3) > 0; return a1 * (sum1 + sum2 + sum3 + sum4); }; auto case2 = [&](int i) { int sum1 = get(i, 0, i + 1, 1) > 0; int sum2 = get(i, 2, i + 1, 3) > 0; return a2 * (sum1 + sum2); }; auto case3 = [&](int i) { int sum1 = get(i, 0, i + 1, 1) > 0; int sum2 = get(i, 2, i, 2) > 0; int sum3 = get(i + 1, 2, i + 1, 2) > 0; int sum4 = get(i, 3, i, 3) > 0; int sum5 = get(i + 1, 3, i + 1, 3) > 0; return a2 * sum1 + a1 * (sum2 + sum3 + sum4 + sum5); }; auto case4 = [&](int i) { int sum1 = get(i, 2, i + 1, 3) > 0; int sum2 = get(i, 0, i, 0) > 0; int sum3 = get(i + 1, 0, i + 1, 0) > 0; int sum4 = get(i, 1, i, 1) > 0; int sum5 = get(i + 1, 1, i + 1, 1) > 0; return a2 * sum1 + a1 * (sum2 + sum3 + sum4 + sum5); }; auto case5 = [&](int i) { int sum1 = get(i, 0, i + 2, 2) > 0; int sum2 = get(i, 3, i, 3) > 0; int sum3 = get(i + 1, 3, i + 1, 3) > 0; int sum4 = get(i + 2, 3, i + 2, 3) > 0; return a3 * sum1 + a1 * (sum2 + sum3 + sum4); }; auto case6 = [&](int i) { int sum1 = get(i, 1, i + 2, 3) > 0; int sum2 = get(i, 0, i, 0) > 0; int sum3 = get(i + 1, 0, i + 1, 0) > 0; int sum4 = get(i + 2, 0, i + 2, 0) > 0; return a3 * sum1 + a1 * (sum2 + sum3 + sum4); }; auto case7 = [&](int i) { int sum1 = get(i, 0, i + 2, 2) > 0; int sum2 = get(i, 3, i + 1, 3) > 0; int sum3 = get(i + 2, 3, i + 2, 3) > 0; return sum1 * a3 + sum2 * a2 + sum3 * min(a1, a2); }; auto case8 = [&](int i) { int sum1 = get(i, 0, i + 2, 2) > 0; int sum2 = get(i + 1, 3, i + 2, 3) > 0; int sum3 = get(i, 3, i, 3) > 0; return sum1 * a3 + sum2 * a2 + sum3 * min(a1, a2); }; auto case9 = [&](int i) { int sum1 = get(i, 1, i + 2, 3) > 0; int sum2 = get(i, 0, i + 1, 0) > 0; int sum3 = get(i + 2, 0, i + 2, 0) > 0; return sum1 * a3 + sum2 * a2 + sum3 * min(a1, a2); }; auto case10 = [&](int i) { int sum1 = get(i, 1, i + 2, 3) > 0; int sum2 = get(i + 1, 0, i + 2, 0) > 0; int sum3 = get(i, 0, i, 0) > 0; return sum1 * a3 + sum2 * a2 + sum3 * min(a1, a2); }; auto case11 = [&](int i) { int sum1 = get(i, 0, i + 2, 2) > 0; int sum2 = get(i, 3, i + 2, 3) > 0; return a3 * (sum1 + sum2); }; auto case12 = [&](int i) { return a4 * (get(i, 0, i + 3, 3) > 0); }; vl dp(n + 1, OO); dp[0] = 0; nrep(i, 1, n + 1) { rmin(dp[i], dp[i - 1] + case1(i - 1)); if (i >= 2) { rmin(dp[i], dp[i - 2] + case2(i - 2)); rmin(dp[i], dp[i - 2] + case3(i - 2)); rmin(dp[i], dp[i - 2] + case4(i - 2)); } if (i >= 3) { rmin(dp[i], dp[i - 3] + case5(i - 3)); rmin(dp[i], dp[i - 3] + case6(i - 3)); rmin(dp[i], dp[i - 3] + case7(i - 3)); rmin(dp[i], dp[i - 3] + case8(i - 3)); rmin(dp[i], dp[i - 3] + case9(i - 3)); rmin(dp[i], dp[i - 3] + case10(i - 3)); } if (i >= 4) { rmin(dp[i], dp[i - 4] + case11(i - 4)); } } cout << dp[n] << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }