#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } mint dp0[2001][2001]; mint dp1[2001][2001]; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); string s; cin >> s; if (0 != s.size() % 2) { cout << 0 << endl; return 0; } int n = s.size() / 2; //vector dp0(n + 1, vector(n + 1));//[ //vector dp1(n + 1, vector(n + 1));//] dp0[0][0] = 1; rep(i, s.size()) { if (('(' == s[i]) || ('.' == s[i])) { rep(j, n) { if ((i - j > n) || (i - j < 0) || ((j + 1) < (i - j)))continue; dp0[j + 1][i - j] += dp0[j][i - j]; dp1[j + 1][i - j] += dp1[j][i - j]; } } if ((')' == s[i]) || ('.' == s[i])) { rep(j, n) { if ((i - j > n) || (i - j < 0) || ((i - j) < (j + 1)))continue; dp0[i - j][j + 1] += dp0[i - j][j]; dp1[i - j][j + 1] += dp1[i - j][j]; } } if (('?' == s[i]) || ('.' == s[i])) { rep(j, n) {//[ if ((i - j > n) || (i - j < 0) || ((j + 1) < (i - j)))continue; dp0[j + 1][i - j] += dp0[j][i - j]; } rep(j, n) {//] if ((i - j > n) || (i - j < 0) || ((i - j) < (j + 1)))continue; dp1[i - j][j + 1] += dp0[i - j][j]; dp1[i - j][j + 1] += dp1[i - j][j]; } } } mint ans = dp0[n][n] + dp1[n][n]; cout << ans.val() << endl; return 0; }