#include using namespace std; #define rep(i,n) for(int i = 0; i < int(n); i++) #define per(i,n) for(int i = (n) - 1; 0 <= i; i--) #define rep2(i,l,r) for(int i = (l); i < int(r); i++) #define per2(i,l,r) for(int i = (r) - 1; int(l) <= i; i--) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } using ll = long long; using pii = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } // const ll MOD = 1'000'000'007; const ll MOD = 998'244'353; /////////////////////////////////////////////////////////////// template using minheap = priority_queue, greater>; template using maxheap = priority_queue; template int lb(const vector &v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector &v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector &v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } struct modint { long long num; const static long long p = 998244353; constexpr static long long pow(long long n, long long k) {//n^k(mod p) n %= p; long long ret = 1; while(k) { if(k&1) ret = ret * n % p; n = n * n % p; k >>= 1; } return ret; } // a*A + b*B = 1 constexpr static void euclid(long long &a, long long &b) { // a>=b A*b+B*(a-a/b*b)=1 if (a == 1) { a = 1; } else { long long A = b, B = a % b; euclid(A, B); b = (A - (p + a / b) % p * B % p + p) % p; a = B; } } constexpr static long long rev(const long long n) {// n*x-p*y=1 //long long q = p; //euclid(p, n, p); //return n % q; return pow(n,p-2); } constexpr modint() : num(0) {} constexpr modint(long long x) : num(x%p < 0 ? x%p+p : x%p) {} constexpr modint inv() const {return rev(num);} modint operator-() const {return modint(p-num);} modint& operator+=(const modint &other){ num = (num + other.num) % p; return *this; } modint& operator-=(const modint &other){ num = (num - other.num + p) % p; return *this; } modint& operator*=(const modint &other){ num = (num * other.num) % p; if(num < 0) num += p; return *this; } modint& operator/=(const modint &other){ (*this) *= other.inv(); return *this; } modint& operator+=(const long long &other){ num = (num + other) % p; return *this; } modint& operator-=(const long long &other){ num = (num - other + p) % p; return *this; } modint& operator*=(const long long &other){ num = (num * (other % p)) % p; return *this; } modint& operator/=(const long long &other){ (*this) *= rev(other); return *this; } modint& operator++(){return *this += 1;} modint& operator--(){return *this -= 1;} modint& operator=(const long long &other){return (*this) = modint(other);} modint operator+(const modint &other) const{return modint(*this) += other;} modint operator-(const modint &other) const{return modint(*this) -= other;} modint operator*(const modint &other) const{return modint(*this) *= other;} modint operator/(const modint &other) const{return modint(*this) /= other;} modint operator+(const long long &other) const{return modint(*this) += other;} modint operator-(const long long &other) const{return modint(*this) -= other;} modint operator*(const long long &other) const{return modint(*this) *= other;} modint operator/(const long long &other) const{return modint(*this) /= other;} bool operator==(const modint &other) const{return num == other.num;} }; std::istream& operator>>(std::istream &is, modint x) { is >> x.num; return is; } std::ostream& operator<<(std::ostream &os, const modint &x){ os << x.num; return os; } int main() { int n; cin >> n; string s; cin >> s; vector> dp1(n+1, vector(n*3+3)); vector> dp2(n+1, vector(n*3+3)); dp2[0][n*2+2] += 1; rep(i,n) { if(s[i] != '0') { rep(j,n*3+3) { dp2[i+1][j] += dp2[i][j]; if(j > 1) dp2[i+1][j-2] += dp1[i][j]; } } if(s[i] != '1') { rep(j,n*3+2) { dp1[i+1][j+1] += dp1[i][j] + dp2[i][j]; } } } modint ans = dp1.back()[n*2+2]; for(int i = 0; i <= n*2; i+=2) { ans += dp1.back()[i] + dp2.back()[i]; } if(s.find('0') == string::npos) ans += 1; cout << ans << endl; }