#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; } using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } mint dp[4005][4005][2]; int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; string s; cin >> s; int n = s.size(); if(n%2 == 1){ cout << 0 << endl; return 0; } dp[0][0][0] = 1; for(int i = 0; i < n; i++){ for(int j = 0; j <= i; j++){ for(int k = 0; k < 2; k++){ for(int l = k; l < 2; l++){ if(s[i] == '.'){ if(l == 0){ // 開く dp[i+1][j+1][l] += dp[i][j][k]*2; // 閉じる if(j-1 >= 0) dp[i+1][j-1][l] += dp[i][j][k]; }else{ if(l != k){ if(j-1 >= 0) dp[i+1][j-1][l] += dp[i][j][k]; continue; } // 開く dp[i+1][j+1][l] += dp[i][j][k]; // 閉じる if(j-1 >= 0) dp[i+1][j-1][l] += dp[i][j][k]*2; } }else{ if(k != l) { if(s[i] == '?'){ if(j-1 >= 0) dp[i+1][j-1][l] += dp[i][j][k]; } continue; } int dj = [&](){ if(s[i] == '(') return 1; if(s[i] == ')') return -1; if(l == 0) return 1; return -1; }(); if(j+dj >= 0) dp[i+1][j+dj][l] += dp[i][j][k]; } } } } } cout << dp[n][0][0]+dp[n][0][1] << endl; }