#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifdef LOCAL # include "debug_print.hpp" # define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define debug(...) (static_cast(0)) #endif using namespace std; #define rep(i,n) for(int i=0; i<(n); i++) #define rrep(i,n) for(int i=(n)-1; i>=0; i--) #define FOR(i,a,b) for(int i=(a); i<(b); i++) #define RFOR(i,a,b) for(int i=(b-1); i>=(a); i--) #define ALL(v) v.begin(), v.end() #define RALL(v) v.rbegin(), v.rend() #define UNIQUE(v) v.erase( unique(v.begin(), v.end()), v.end() ); #define pb push_back using ll = long long; using D = double; using LD = long double; using P = pair; template using PQ = priority_queue>; template using minPQ = priority_queue, greater>; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u) { cout << t; if (sizeof...(u)) cout << sep; out(u...); } void outr() {} template void outr(const T &t, const U &...u) { cout << t; outr(u...); } template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % mod) { if (val < 0) val += mod; } constexpr int getmod() { return mod; } constexpr Fp operator - () const noexcept { return val ? mod - val : 0; } constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator += (const Fp& r) noexcept { val += r.val; if (val >= mod) val -= mod; return *this; } constexpr Fp& operator -= (const Fp& r) noexcept { val -= r.val; if (val < 0) val += mod; return *this; } constexpr Fp& operator *= (const Fp& r) noexcept { val = val * r.val % mod; return *this; } constexpr Fp& operator /= (const Fp& r) noexcept { long long a = r.val, b = mod, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % mod; if (val < 0) val += mod; return *this; } constexpr bool operator == (const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator != (const Fp& r) const noexcept { return this->val != r.val; } friend constexpr istream& operator >> (istream &is, const Fp& x) noexcept { int val; is >> val; x = Fp(val); return is; } friend constexpr ostream& operator << (ostream &os, const Fp& x) noexcept { return os << x.val; } friend constexpr Fp modpow(const Fp &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; //const int mod = 1e9+7; const int mod = 998244353; using mint = Fp; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; string s; in(n,s); mint dp[n+1][2*n+1][2][3]; rep(i,n+1)rep(j,2*n+1)rep(k,2)rep(l,3) dp[i][j][k][l] = 0; if(s[0] == '0' or s[0] == '?') dp[0][n][0][1] += 1; if(s[0] == '1' or s[0] == '?') dp[0][n][1][0] += 1; rep(i,n-1)rep(j,2*n+1){ if(s[i+1] == '0' or s[i+1] == '?'){ if(j+1 <= 2*n) dp[i+1][j+1][0][1] += dp[i][j][1][2]; if(j-1 >= 0) dp[i+1][j-1][0][1] += dp[i][j][0][2]; dp[i+1][j][0][1] += dp[i][j][1][0]; if(j+1 <= 2*n) dp[i+1][j+1][0][2] += dp[i][j][1][1]; if(j-1 >= 0) dp[i+1][j-1][0][2] += dp[i][j][0][1]; } if(s[i+1] == '1' or s[i+1] == '?'){ dp[i+1][j][1][0] += dp[i][j][1][0]; dp[i+1][j][1][1] += dp[i][j][0][1]; dp[i+1][j][1][1] += dp[i][j][1][1]; dp[i+1][j][1][2] += dp[i][j][0][2]; dp[i+1][j][1][2] += dp[i][j][1][2]; } } mint ans = 0; rep(i,2)rep(j,2)FOR(k,n,2*n+1){ ans += dp[n-1][k][i][2*j]; } out(ans); }