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#include <algorithm>
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#include <iostream>
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#include <string>
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using std::cin, std::cout, std::string, std::for_each_n;
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typedef unsigned long long ull;
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static const size_t MOD {998244353}, MAX_N {300000+5};
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static string s;
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static size_t left_dp[MAX_N], last_left[MAX_N], unused_left_num, ans;
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static ull stk[MAX_N];
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int main(){
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cin>>s;
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for(size_t i {0};i<s.size();i++){
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if(s[i]=='('){
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stk[unused_left_num++]=i;
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}else if(unused_left_num>0){
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last_left[i] = stk[--unused_left_num];
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cout<<(last_left[i]-1)<<"--\n";
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left_dp[i] = (left_dp[last_left[i]-1] + last_left[i]+1) % MOD;
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ans = (ans + left_dp[i] * (s.size() - i)) % MOD ;
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}
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}
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cout<<ans<<'\n';
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}
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