#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for (llint x = (s); (x) <= (t); (x)++) #define per(x, s, t) for (llint x = (s); (x) >= (t); (x)--) #define reps(x, s) for (llint x = 0; (x) < (llint)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define sz(x) ((ll)(x).size()) #define ceil(x, y) (((x) + (y)-1) / (y)) #define all(x) (x).begin(), (x).end() #define outl(...) dump_func(__VA_ARGS__) #define outf(x) cout << fixed << setprecision(16) << (x) << endl #define inf 1e18 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; struct edge { ll to, cost; edge() {} edge(ll a, ll b) { to = a, cost = b; } }; const ll dx[] = {1, 0, -1, 0}, dy[] = {0, -1, 0, 1}; // const ll mod = 1000000007; const ll mod = 998244353; struct mint { ll x = 0; mint(ll y = 0) { x = y; if (x < 0 || x >= mod) x = (x % mod + mod) % mod; } mint(const mint& ope) { x = ope.x; } mint operator-() { return mint(-x); } mint operator+(const mint& ope) { return mint(x) += ope; } mint operator-(const mint& ope) { return mint(x) -= ope; } mint operator*(const mint& ope) { return mint(x) *= ope; } mint operator/(const mint& ope) { return mint(x) /= ope; } mint& operator+=(const mint& ope) { x += ope.x; if (x >= mod) x -= mod; return *this; } mint& operator-=(const mint& ope) { x += mod - ope.x; if (x >= mod) x -= mod; return *this; } mint& operator*=(const mint& ope) { x *= ope.x, x %= mod; return *this; } mint& operator/=(const mint& ope) { ll n = mod - 2; mint mul = ope; while (n) { if (n & 1) *this *= mul; mul *= mul; n >>= 1; } return *this; } mint inverse() { return mint(1) / *this; } bool operator==(const mint& ope) { return x == ope.x; } bool operator!=(const mint& ope) { return x != ope.x; } }; mint modpow(mint a, ll n) { if (n == 0) return mint(1); if (n % 2) return a * modpow(a, n - 1); else return modpow(a * a, n / 2); } istream& operator>>(istream& is, mint& ope) { ll t; is >> t, ope.x = t; return is; } ostream& operator<<(ostream& os, mint& ope) { return os << ope.x; } ostream& operator<<(ostream& os, const mint& ope) { return os << ope.x; } vector fact, fact_inv; void make_fact(int n) { fact.resize(n + 1), fact_inv.resize(n + 1); fact[0] = mint(1); rep(i, 1, n) fact[i] = fact[i - 1] * mint(i); fact_inv[n] = fact[n].inverse(); per(i, n - 1, 0) fact_inv[i] = fact_inv[i + 1] * mint(i + 1); } mint comb(ll n, ll k) { if (n < 0 || k < 0 || n < k) return mint(0); return fact[n] * fact_inv[k] * fact_inv[n - k]; } mint perm(ll n, ll k) { return comb(n, k) * fact[k]; } vector prime; void make_prime(int n) { prime.resize(n + 1); rep(i, 2, n) { if (prime[i]) continue; for (int j = i; j <= n; j += i) prime[j] = i; } } bool exceed(ll x, ll y, ll m) { return x >= m / y + 1; } void mark() { cout << "*" << endl; } void yes() { cout << "YES" << endl; } void no() { cout << "NO" << endl; } ll sgn(ll x) { if (x > 0) return 1; if (x < 0) return -1; return 0; } ll gcd(ll a, ll b) { if (b == 0) return a; return gcd(b, a % b); } ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } ll digitnum(ll x, ll b = 10) { ll ret = 0; for (; x; x /= b) ret++; return ret; } ll digitsum(ll x, ll b = 10) { ll ret = 0; for (; x; x /= b) ret += x % b; return ret; } string lltos(ll x) { string ret; for (; x; x /= 10) ret += x % 10 + '0'; reverse(ret.begin(), ret.end()); return ret; } ll stoll(string& s) { ll ret = 0; for (auto c : s) ret *= 10, ret += c - '0'; return ret; } template void uniq(T& vec) { sort(vec.begin(), vec.end()); vec.erase(unique(vec.begin(), vec.end()), vec.end()); } template pair& operator+=(pair& s, const pair& t) { s.first += t.first, s.second += t.second; return s; } template pair& operator-=(pair& s, const pair& t) { s.first -= t.first, s.second -= t.second; return s; } template pair operator+(const pair& s, const pair& t) { return pair(s.first + t.first, s.second + t.second); } template pair operator-(const pair& s, const pair& t) { return pair(s.first - t.first, s.second - t.second); } template ostream& operator<<(ostream& os, vector& vec) { for (int i = 0; i < vec.size(); i++) os << vec[i] << (i + 1 == vec.size() ? "" : " "); return os; } template ostream& operator<<(ostream& os, deque& deq) { for (int i = 0; i < deq.size(); i++) os << deq[i] << (i + 1 == deq.size() ? "" : " "); return os; } template ostream& operator<<(ostream& os, pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator<<(ostream& os, const pair& pair_var) { os << "(" << pair_var.first << ", " << pair_var.second << ")"; return os; } template ostream& operator<<(ostream& os, map& map_var) { for (typename map::iterator itr = map_var.begin(); itr != map_var.end(); itr++) { os << "(" << itr->first << ", " << itr->second << ")"; itr++; if (itr != map_var.end()) os << ","; itr--; } return os; } template ostream& operator<<(ostream& os, set& set_var) { for (typename set::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if (itr != set_var.end()) os << " "; itr--; } return os; } template ostream& operator<<(ostream& os, multiset& set_var) { for (typename multiset::iterator itr = set_var.begin(); itr != set_var.end(); itr++) { os << *itr; ++itr; if (itr != set_var.end()) os << " "; itr--; } return os; } template void outa(T a[], ll s, ll t) { for (ll i = s; i <= t; i++) { cout << a[i]; if (i < t) cout << " "; } cout << endl; } void dump_func() { cout << endl; } template void dump_func(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(Tail) > 0) cout << " "; dump_func(std::move(tail)...); } struct Node { string s; ll l, r; Node() { s = "", l = r = -1; } }; string s; ll k; vector vec; ll parse(ll& p) { vec.push_back(Node()); ll v = sz(vec) - 1; if (s[p] == '0' || s[p] == '1' || s[p] == '2' || s[p] == '?') { vec[v].s = s[p]; p++; return v; } if (s[p] == 'm') { p++; if (s[p] == 'a') vec[v].s = "max"; if (s[p] == 'e') vec[v].s = "mex"; if (s[p] == '?') vec[v].s = "m?x"; p += 3; vec[v].l = parse(p); p++; vec[v].r = parse(p); p++; return v; } assert(0); } ll mex(ll a, ll b) { if (min(a, b) >= 1) return 0; if ((a + b) % 2) return 2; else return 1; } mint dp[200005][3]; void dfs(int v) { if (sz(vec[v].s) == 1) { rep(i, 0, 2) if (vec[v].s[0] == '?' || vec[v].s[0] == '0' + i) dp[v][i] = 1; return; } ll l = vec[v].l, r = vec[v].r; assert(l != -1 && r != -1); dfs(l), dfs(r); if (vec[v].s != "mex") { rep(i, 0, 2) rep(j, 0, 2) dp[v][max(i, j)] += dp[l][i] * dp[r][j]; } if (vec[v].s != "max") { rep(i, 0, 2) rep(j, 0, 2) dp[v][mex(i, j)] += dp[l][i] * dp[r][j]; } } int main(void) { ios::sync_with_stdio(0); cin.tie(0); cin >> s >> k; ll p = 0; parse(p); dfs(0); outl(dp[0][k]); return 0; }