#include #include using namespace std; using namespace atcoder; constexpr long long INF_LL = 2000000000000000000LL; constexpr int INF = 100000000; constexpr long long MOD = 998244353; #define all(x) x.begin(), x.end() #define REP(i, a, b) for(int i = a; i < b; i++) #define rep(i, n) REP(i, 0, n) typedef long long ll; typedef pair P; typedef vector vi; typedef vector vvi; typedef vector

vp; typedef vector vl; int dx[4] = {0, -1, 0, 1}; int dy[4] = {1, 0, -1, 0}; int sign[2] = {1, -1}; template bool chmax(T &a, T b) { if(a < b) { a = b; return 1; } return 0; } template bool chmin(T &a, T b) { if(a > b) { a = b; return 1; } return 0; } ll modpow(ll a, ll b, ll m) { if(b == 0) return 1; ll t = modpow(a, b / 2, m); if(b & 1) { return (t * t % m) * a % m; } else { return t * t % m; } } struct edge { int to; ll cost; edge(int t, ll c) { to = t, cost = c; } }; typedef vector> graph; using mint = modint998244353; // constexpr int MAX_COM = 100001; // mint fac[MAX_COM], ifac[MAX_COM]; // void initfac() { // fac[0] = ifac[0] = 1; // REP(i, 1, MAX_COM) fac[i] = i * fac[i - 1]; // REP(i, 1, MAX_COM) ifac[i] = 1 / fac[i]; // } // mint nCr(int n, int r){ // if(r < 0 || n < r) return 0; // return fac[n] * ifac[n - r] * ifac[r]; // } // typedef int S; // S op(S x, S y){ return max(x, y); } // S e(){ return 0; } // typedef int F; // S mapping(F f, S x){ return f + x; } // F composition(F f, F g){ return f + g; } // F id(){ return 0; } typedef vector vm; vm ma(vm &a, vm &b){ vm res(3, 0); rep(i, 3) rep(j, 3){ res[max(i, j)] += a[i] * b[j]; } return res; } vm me(vm &a, vm &b){ vm res(3, 0); rep(i, 3) rep(j, 3){ int k = 0; while(i == k || j == k) k++; res[k] += a[i] * b[j]; } return res; } vm mq(vm &a, vm &b){ vm res(3, 0), x = ma(a, b), y = me(a, b); rep(i, 3) res[i] = (x[i] + y[i]) / 2; return res; } void solve(){ string s; int k; cin >> s >> k; reverse(all(s)); stack st; char tmp = '-'; mint cnt = 1; for(char c : s){ if(c == '?'){ if(tmp == 'x'){ cnt *= 2; vm x = st.top(); st.pop(); vm y = st.top(); st.pop(); st.push(mq(x, y)); }else{ cnt *= 3; st.push({(mint)1/3, (mint)1/3, (mint)1/3}); } }else if(c == '0'){ st.push({1, 0, 0}); }else if(c == '1'){ st.push({0, 1, 0}); }else if(c == '2'){ st.push({0, 0, 1}); }else if(c == 'a'){ vm x = st.top(); st.pop(); vm y = st.top(); st.pop(); st.push(ma(x, y)); }else if(c == 'e'){ vm x = st.top(); st.pop(); vm y = st.top(); st.pop(); st.push(me(x, y)); } tmp = c; } cout << (st.top()[k] * cnt).val() << endl; } int main(){ cin.tie(0); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(16); // initfac(); int t; t = 1; // cin >> t; while (t--) { solve(); } }