#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } template class Cumsum{ public: Cumsum(vector v): v(v){ n = v.size(); v_cumsum = vector(n+1, T(0)); for(int i = 0; i < n; i++) v_cumsum[i+1] = v_cumsum[i]+v[i]; } /** * v[l] + ... + v[r-1] */ T sum(int l, int r){ if(r <= l) return T(0); if(r > n) r = n; if(l < 0) l = 0; return v_cumsum[r]-v_cumsum[l]; } private: int n; vector v; vector v_cumsum; }; using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } void test(int n){ } mint dp[1505][6005][2]; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n; cin >> n; string s; cin >> s; for(int i = 0; i < n; i++){ if(s[i] == '1') continue; dp[i][n-1][0] = 1; if(s[i] == '0') break; } for(int i = 1; i < n; i++){ for(int j = 0; j < 4*n; j++){ if(s[i] != '0'){ dp[i][j][1] += dp[i-1][j][0]+dp[i-1][j][1]; } if(s[i] != '1'){ // 一つ前が1 dp[i][j+1][0] += dp[i-1][j][1]; // 一つ前が0 dp[i][j-1][0] += dp[i-1][j][0]; } } } mint ans = 0; for(int j = n; j < 4*n; j+=2){ ans += dp[n-1][j][0]+dp[n-1][j][1]; } bool ok = true; for(int i = 0; i < n; i++){ if(s[i] == '0') ok = false; } if(ok) ans += 1; cout << ans << endl; }