#include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; class range {private: struct I{int x;int operator*(){return x;}bool operator!=(I& lhs){return x ostream& operator<<(ostream& os, const pair& p){ return os << "{" << p.first << ", " << p.second << "}"; } template ostream& operator<<(ostream& os, const vector& obj) { os << "{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const set& obj) { os << "set{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } template ostream& operator<<(ostream& os, const map& obj) { os << "map{"; for (const auto& e : obj) os << e << ", "; return os << "}"; } #ifdef ONLINE_JUDGE #define dump(expr) ; #else #define dump(expr) { cerr << "\033[33m#L" << __LINE__ << ": " << expr << "\033[39m" << endl; } #endif const ll mod = 998244353; struct mint { ll x; mint(ll x_ = 0) : x((x_ % mod + mod) % mod) {} mint operator-() const { return mint(-x); } mint &operator+=(const mint &a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint &operator-=(const mint &a) { if ((x += mod - a.x) >= mod) x -= mod; return *this; } mint &operator*=(const mint &a) { (x *= a.x) %= mod; return *this; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint pow(ll t) const { if (!t) return 1; mint a = pow(t >> 1); a *= a; if (t & 1) a *= *this; return a; } mint inv() const { return pow(mod - 2); } mint &operator/=(const mint &a) { return (*this) *= a.inv(); } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend ostream &operator<<(ostream &os, const mint &m) { os << m.x; return os; } friend istream &operator>>(istream &is, mint &m) { is >> m.x; return is; } }; int mex(int i, int j) { vector c(3); c[i] = 1; c[j] = 1; for (int k = 0; k <= 2; ++k) if (!c[k]) return k; assert(0); } struct Node { Node *lhs, *rhs; char op; vector ps; Node() : lhs(nullptr), rhs(nullptr), op(0), ps(3, 0) {} void calc() { if (!op) return; lhs->calc(); rhs->calc(); for (char p : {'a', 'e'}) if (op == '?' || op == p) { for (int i : range(3)) for (int j : range(3)) { int k = (p == 'a') ? max(i, j) : mex(i, j); ps[k] += lhs->ps[i] * rhs->ps[j]; } } } }; struct Parser { string s; int idx = 0; Node* expr() { dump(idx); int n = (int)s.size(); if (idx >= n) return nullptr; Node* ret = new Node(); if (isdigit(s[idx])) { ret->ps[s[idx++] - '0'] = 1; return ret; } if (s[idx] == '?') { ret->ps = vector(3, 1); idx++; return ret; } assert(s[idx++] == 'm'); ret->op = s[idx++]; assert(s[idx++] == 'x'); assert(s[idx++] == '('); ret->lhs = expr(); assert(s[idx++] == ','); ret->rhs = expr(); assert(s[idx++] == ')'); return ret; } }; ll solve() { Parser parser; int k; cin >> parser.s >> k; Node* par = parser.expr(); par->calc(); return par->ps[k].x; } int main() { cout << fixed << setprecision(12); cout << solve() << endl; }