#include #if __has_include() #include using namespace atcoder; #endif using namespace std; /* #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") */ #define ll long long #define rep(i, n) for (ll i = 0; i < n; ++i) #define rep_up(i, a, n) for (ll i = a; i < n; ++i) #define rep_down(i, a, n) for (ll i = a; i >= n; --i) #define P pair #define pb push_back #define bit_count(x) __builtin_popcountll(x) #define gcd(a,b) __gcd(a,b) #define lcm(a,b) a / gcd(a,b) * b #define endl "\n" #define all(v) v.begin(), v.end() #define fi first #define se second #define vvvvll vector< vector > > > #define vvvll vector< vector< vector > > #define vvll vector< vector > #define vll vector #define pqll priority_queue #define pqllg priority_queue, greater> template inline void vin(vector& v) { rep(i, v.size()) cin >> v.at(i); } template using V = vector; constexpr ll INF = (1ll << 60); //constexpr ll mod = 1000000007; constexpr ll mod = 998244353; constexpr double pi = 3.14159265358979323846; 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; } template void pt(T val) { cout << val << "\n"; } template void pt_vll(vector &v) { ll vs = v.size(); rep(i, vs) { cout << v[i]; if (i == vs - 1) cout << "\n"; else cout << " "; } } // O(N^3) TLE void solve(){ ll n, m, k, cnt = 0, sum = 0, ans = 0; cin>>n; assert(1<=n&&n<=2000); string s; cin>>s; assert(s.size()==n); rep(i,n){ assert(s[i]=='0'||s[i]=='1'||s[i]=='?'); } vvvll dp(2,vvll(n+1,vll(n+1))); // dp[l][j][k]:=i番目まで見て、j個の0を使い、0が連続する区間がk個、最後の文字がl dp[1][0][0]=1; rep(i,n){ vvvll dp2(2,vvll(n+1,vll(n+1))); rep(j,n){ rep(k,n){ if(s[i]!='1'){ dp2[0][j+1][k+1]+=dp[1][j][k]; dp2[0][j+1][k]+=dp[0][j][k]; dp2[0][j+1][k+1]%=mod; dp2[0][j+1][k]%=mod; } if(s[i]!='0'){ dp2[1][j][k]+=dp[1][j][k]; dp2[1][j][k]+=dp[0][j][k]; dp2[1][j][k]%=mod; } } } dp=dp2; } rep(i,n){ rep(j,n){ if(i%2==0&&i/2+1<=j){ ans+=dp[0][i][j]; ans+=dp[1][i][j]; ans%=mod; } } } ans+=dp[1][0][0]; ans%=mod; pt(ans); } int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); //cout << fixed << setprecision(16); //ll T; //cin>>T; //rep(ca,T) solve(); }