// #define LOCAL #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; template ostream& operator <<(ostream& out, const pair& a) { out << "(" << a.first << "," << a.second << ")"; return out; } template ostream& operator <<(ostream& out, const array& a) { out << "["; bool first = true; for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]"; return out; } template ostream& operator <<(ostream& out, const vector& a) { out << "["; bool first = true; for (auto v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "]"; return out; } template ostream& operator <<(ostream& out, const set& a) { out << "{"; bool first = true; for (auto& v : a) { out << (first ? "" : ", "); out << v; first = 0;} out << "}"; return out; } template ostream& operator <<(ostream& out, const map& a) { out << "{"; bool first = true; for (auto& p : a) { out << (first ? "" : ", "); out << p.first << ":" << p.second; first = 0;} out << "}"; return out; } #ifdef LOCAL #define trace(...) __f(#__VA_ARGS__, __VA_ARGS__) #else #define trace(...) 42 #endif template void __f(const char* name, Arg1&& arg1){ cerr << name << ": " << arg1 << endl; } template void __f(const char* names, Arg1&& arg1, Args&&... args){ const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << ": " << arg1 << " |"; __f(comma + 1, args...); } template auto vect(const T& v, int n) { return vector(n, v); } template auto vect(const T& v, int n, D... m) { return vector(n, vect(v, m...)); } typedef long long int64; typedef pair ii; #define SZ(x) (int)((x).size()) template static constexpr T inf = numeric_limits::max() / 2; const int MOD = 1e9 + 7; // const int MOD = 998244353; mt19937 mrand(random_device{}()); int rnd(int x) { return mrand() % x; } // mt19937_64 mrand(random_device{}()); // int64 rnd(int64 x) { return mrand() % x; } template void out(const vector& a) { for (int i = 0; i < SZ(a); ++i) cout << a[i] << " \n"[i + 1 == SZ(a)]; } template bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; } template bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; } template void dedup(vector& v) { sort(v.begin(), v.end()); v.erase(unique(v.begin(), v.end()), v.end()); } void add(int& x, int y) { x += y; if (x >= MOD) x -= MOD; } struct fast_ios { fast_ios() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); }; } fast_ios_; map A = {{'a', 0}, {'e', 1}, {'?', 2}}; struct Node { int op, t; Node* ch[2]; }; const int N = 2e5 + 10; Node pool[N], *last; Node* new_node(int op, int t) { Node* ret = last++; ret->ch[0] = ret->ch[1] = nullptr; ret->op = op; ret->t = t; return ret; } Node* parse(const string& s, int& k) { trace(s, k); if (s[k] != 'm') { if (s[k] >= '0' && s[k] <= '9') { return new_node(-1, s[k++] - '0'); } ++k; return new_node(-1, -1); } Node* ret = new_node(A[s[k + 1]], -1); k += 4; ret->ch[0] = parse(s, k); ++k; ret->ch[1] = parse(s, k); ++k; return ret; } array, 3> mex {}; map, int> cache; int solve(Node* p, int target) { // trace(p->op, p->t, target); auto it = cache.find(make_pair(p, target)); if (it != cache.end()) return it->second; int ret = 0; if (p->op == 0 || p->op == 2) { for (int x = 0; x <= 2; ++x) { for (int y = 0; y <= 2; ++y) { if (max(x, y) == target) { add(ret, 1LL * solve(p->ch[0], x) * solve(p->ch[1], y) % MOD); // trace(p->op, x, y, "max", ret); } } } } if (p->op == 1 || p->op == 2) { for (int x = 0; x <= 2; ++x) { for (int y = 0; y <= 2; ++y) { if (mex[x][y] == target) { add(ret, 1LL * solve(p->ch[0], x) * solve(p->ch[1], y) % MOD); // trace(p->op, x, y, "mex", ret); } } } } if (p->op < 0) { if (p->t < 0 || p->t == target) add(ret, 1); } // trace(p->t, p->op, ret); return cache[make_pair(p, target)] = ret; } void debug(Node* p, int dep = 0) { if (!p) return; for (int i = 0; i < dep ; ++i) cout << " "; cout << p->op << " " << p->t << '\n'; debug(p->ch[0], dep + 1); debug(p->ch[1], dep + 1); } int main() { string s; cin >> s; trace(s, SZ(s)); int target = 0; cin >> target; last = pool; int k = 0; Node* rt = parse(s, k); // debug(rt); for (int x = 0; x <= 2; ++x) { for (int y = 0; y <= 2; ++y) { for (int z = 0; z <= 2; ++z) { if (z != x && z != y) { mex[x][y] = z; break; } } } } int ret = solve(rt, target); cout << ret << '\n'; return 0; }