#include #include #include #include using namespace std; const int MOD = 1000000007; // ????? long long power(long long base, long long exp) { long long res = 1; base %= MOD; while (exp > 0) { if (exp % 2 == 1) res = (res * base) % MOD; base = (base * base) % MOD; exp /= 2; } return res; } long long modInverse(long long n) { return power(n, MOD - 2); } const int MAX = 200005; long long fact[MAX]; long long invFact[MAX]; // ???????? void precompute() { fact[0] = 1; invFact[0] = 1; for (int i = 1; i < MAX; i++) { fact[i] = (fact[i - 1] * i) % MOD; } invFact[MAX - 1] = modInverse(fact[MAX - 1]); for (int i = MAX - 2; i >= 1; i--) { invFact[i] = (invFact[i + 1] * (i + 1)) % MOD; } } // ??????????? l ?????: (l+1)^(l-1) / l! long long f(long long l) { if (l == 0) return 1; return power(l + 1, l - 1) * invFact[l] % MOD; } // ?? [w^n] F(w)^m ??????? long long get_c(long long m, long long n) { if (m == 0) return (n == 0) ? 1 : 0; if (n == 0) return 1; long long p = power((n + m) % MOD, n - 1); long long ans = m % MOD * p % MOD; ans = ans * invFact[n] % MOD; return ans; } int main() { // ??IO?? ios_base::sync_with_stdio(false); cin.tie(NULL); precompute(); long long N, M; if (!(cin >> N >> M)) return 0; string S; cin >> S; int c = 0; for (char ch : S) { if (ch == '-') c++; } int V = N - M; long long ans = 0; bool has_o = false; for (char ch : S) { if (ch == 'o') { has_o = true; break; } } // ?? 1: S ??????? 'o' if (has_o) { int first_o = -1, last_o = -1; for (int i = 0; i < M; ++i) { if (S[i] == 'o') { if (first_o == -1) first_o = i; last_o = i; } } int a = first_o; int b = M - 1 - last_o; long long Win = 1; int current_dash = 0; for (int i = first_o + 1; i <= last_o; ++i) { if (S[i] == '-') { current_dash++; } else { Win = Win * f(current_dash) % MOD; current_dash = 0; } } vector Pa(a, 0); for (int i = 0; i < a; ++i) Pa[i] = f(i); vector Pb(b, 0); for (int i = 0; i < b; ++i) Pb[i] = f(i); int degR = max(a, b) - 1; vector R(degR + 1, 0); for (int i = 0; i < a; ++i) R[i] = (R[i] + Pa[i]) % MOD; for (int i = 0; i < b; ++i) R[i] = (R[i] + Pb[i]) % MOD; int degQ = -1; vector Q; if (a > 0 && b > 0) { degQ = a + b - 2; Q.assign(degQ + 1, 0); for (int i = 0; i < a; ++i) { for (int j = 0; j < b; ++j) { Q[i + j] = (Q[i + j] + Pa[i] * Pb[j]) % MOD; } } } for (int k = 0; k <= V; ++k) { long long Wk = 0; if (k == V) { Wk = f(a + V + b) * Win % MOD; } else { long long T1 = get_c(V - k + 1, k + a + b); long long T2 = 0; for (int i = 0; i <= degR; ++i) { T2 = (T2 + R[i] * get_c(V - k, k + a + b - i)) % MOD; } long long T3 = 0; if (degQ >= 0) { for (int j = 0; j <= degQ; ++j) { T3 = (T3 + Q[j] * get_c(V - k - 1, k + a + b - j)) % MOD; } } long long ck = (T1 - T2 + T3) % MOD; if (ck < 0) ck += MOD; Wk = ck * Win % MOD; } long long K = c + k; long long term = Wk * fact[K] % MOD; term = term * power(N, N - K) % MOD; ans = (ans + term) % MOD; } } else { // ?? 2: S ???? '-'???????????? for (int k = 0; k < V; ++k) { long long term1_p1 = M * power(M + 1, k + M - 1) % MOD * invFact[k + M - 1] % MOD; long long term1_p2 = (M - 1) * power(M + 1, k + M) % MOD * invFact[k + M] % MOD; long long term1 = (term1_p1 - term1_p2 + MOD) % MOD; long long term2 = 0; for (int n = 0; n < M; ++n) { long long pn = (n - M + 1 + MOD) % MOD * f(n) % MOD; long long v1 = power(M - n, k + M - n) * invFact[k + M - n] % MOD; long long v2 = 0; if (k + M - n - 1 >= 0) { v2 = power(M - n, k + M - n - 1) * invFact[k + M - n - 1] % MOD; } long long val = pn * (v1 - v2 + MOD) % MOD; term2 = (term2 + val) % MOD; } long long ck = (term1 - term2 + MOD) % MOD; long long K = M + k; long long ways = ck * fact[K] % MOD; ways = ways * power(N, N - K) % MOD; ans = (ans + ways) % MOD; } } ans = ans * (N - M + 1) % MOD; cout << ans << "\n"; return 0; }