#include #include #include using namespace atcoder; using mint = modint998244353; using namespace std; #define rep(i,n) for (int i = 0; i < (n); ++i) #define Inf32 1000000001 #define Inf64 3000000000000000 struct combi{ deque kaijou; deque kaijou_; combi(int n){ kaijou.push_back(1); for(int i=1;i<=n;i++){ kaijou.push_back(kaijou[i-1]*i); } mint b=kaijou[n].inv(); kaijou_.push_front(b); for(int i=1;i<=n;i++){ int k=n+1-i; kaijou_.push_front(kaijou_[0]*k); } } mint combination(int n,int r){ if(r>n)return 0; mint a = kaijou[n]*kaijou_[r]; a *= kaijou_[n-r]; return a; } mint junretsu(int a,int b){ mint x = kaijou_[a]*kaijou_[b]; x *= kaijou[a+b]; return x; } mint catalan(int n){ return combination(2*n,n)/(n+1); } }; int main(){ combi C(500000); string s; cin>>s; int n = s.size(); if(s.size()%2==1){ cout<<0<(2,0)); dp[0][0] = 1; dp[0][1] = 1; rep(i,n){ vector ndp(n+1,vector(2,0)); rep(j,n+1){ rep(k,2){ if(dp[j][k]==0)continue; rep(l,3){ if(l==0){ if(s[i]!='('&&s[i]!='.')continue; ndp[j+1][k] += dp[j][k]; } if(l==1){ if(s[i]!=')'&&s[i]!='.')continue; if(j==0)continue; ndp[j-1][k] += dp[j][k]; } if(l==2){ if(s[i]!='?'&&s[i]!='.')continue; if(k==0){ ndp[j+1][k] += dp[j][k]; ndp[j+1][1] += dp[j][k]; } else{ if(j==0)continue; ndp[j-1][k] += dp[j][k]; } } } } } swap(dp,ndp); } cout<