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#include <iostream>
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#include <iostream>
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#include <stack>
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#include <ranges>
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#include <ranges>
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#include <stack>
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using std::cin, std::cout, std::string, std::stack;
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using std::cin, std::cout, std::string, std::stack;
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using ull = unsigned long long;
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using ull = unsigned long long;
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constexpr auto range = std::ranges::views::iota;
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constexpr auto range = std::ranges::views::iota;
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constexpr size_t MAX_N {(size_t)3e5+5}, MOD {998244353};
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constexpr size_t MAX_N{(size_t)3e5 + 5}, MOD{998244353};
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string s;
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string s;
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ull stk[MAX_N], pre[MAX_N], g[MAX_N], ans;
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ull stk[MAX_N], left_num[MAX_N], g[MAX_N], ans;
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size_t tot;
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size_t stk_size;
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int main(){
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int main() {
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cin>>s;
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cin >> s;
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for(const size_t i:range((size_t)0,s.size())){
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for (const size_t i : range((size_t)0, s.size())) {
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if(s[i]=='('){
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if (s[i] == '(') {
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stk[tot++] = i;
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stk[stk_size++] = i + 1;
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}else{
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} else if (stk_size > 0) {
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pre[i] = stk[tot--];
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left_num[i] = stk[--stk_size];
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g[i] = ( g[pre[i]-1] + pre[i] ) % MOD;
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g[i] = (g[left_num[i] - 2] + left_num[i]) % MOD;
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ans = ( ans + g[i] * s.size()-i) % MOD;
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ans = (ans + g[i] * (s.size() - i)) % MOD;
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}
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}
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}
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cout<<ans<<'\n';
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}
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cout << ans << '\n';
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}
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}
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