#include using namespace std; using ll = long long; #define rep(i, n) for (int i=0; i<(int)(n); ++(i)) #define rep3(i, m, n) for (int i=(m); (i)<(int)(n); ++(i)) #define repr(i, n) for (int i=(int)(n)-1; (i)>=0; --(i)) #define rep3r(i, m, n) for (int i=(int)(n)-1; (i)>=(int)(m); --(i)) #define all(x) (x).begin(), (x).end() const ll mod = 998244353LL; 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 { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= 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 { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x; } ostream& operator<<(ostream& os, const mint& a) { return os << a.x; } inline int mex(int a, int b) { int res = 0; while (res==a || res==b) ++res; return res; } string s; map, pair> memo; pair calc(int id, int k) { if (memo.find({id,k}) != memo.end()) return memo[{id,k}]; pair res = { mint(0), id }; if (id >= (int)(s.length())) return (memo[{id,k}] = res); if (s[id] == 'm') { int nid1 = id + 4; pair rzero1 = { mint(0), id }, rzero2 = { mint(0), id }; rzero1 = calc(nid1, 0); int nid2 = rzero1.second + 2; rzero2 = calc(nid2, 0); res.second = rzero2.second + 1; if (s[id+1]=='a' || s[id+1]=='?') rep(i, 3) rep(j, 3) if (max(i, j) == k) res.first += calc(nid1, i).first * calc(nid2, j).first; if (s[id+1]=='e' || s[id+1]=='?') rep(i, 3) rep(j, 3) if (mex(i, j) == k) res.first += calc(nid1, i).first * calc(nid2, j).first; } else { if (s[id] == '?') res.first = 1; else if (s[id]-'0' == k) res.first = 1; else res.first = 0; } return (memo[{id,k}] = res); } int main() { int k; cin >> s >> k; cout << calc(0, k).first << endl; return 0; }