This documentation is automatically generated by online-judge-tools/verification-helper
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/lesson/2/ITP1/1/ITP1_1_A"
// #define PROBLEM "https://atcoder.jp/contests/arc194/tasks/arc194_d"
#include "../../Src/Graph/Tree/SubtreesHash.hpp"
using namespace zawa;
#include "atcoder/modint"
using mint = atcoder::modint998244353;
#include <iostream>
#include <vector>
int N, SIZE = 1;
std::string S;
std::vector<int> g[5010];
mint F[5010], invF[5010];
mint solve() {
std::cin >> N >> S;
std::vector<int> stk;
stk.push_back(0);
for (char c : S) {
if (c == '(') {
g[stk.back()].push_back(SIZE);
stk.push_back(SIZE++);
}
else {
stk.pop_back();
}
}
F[0] = 1;
for (int i = 1 ; i <= SIZE ; i++) F[i] = F[i - 1] * mint::raw(i);
invF[SIZE] = F[SIZE].inv();
for (int i = SIZE ; i >= 1 ; i--) invF[i - 1] = invF[i] * mint::raw(i);
auto hash = SubtreesHasher{}(std::vector(g, g + SIZE));
auto dfs = [&](auto dfs, int v, int p) -> mint {
std::vector<int> ch;
ch.reserve(g[v].size());
mint res = 1;
for (int x : g[v]) if (x != p) {
res *= dfs(dfs, x, v);
ch.push_back(hash[x]);
}
std::sort(ch.begin(), ch.end());
res *= F[ch.size()];
for (int i = 0, j = 0 ; i < (int)ch.size() ; i = j) {
while (j < (int)ch.size() and ch[i] == ch[j]) j++;
res *= invF[j - i];
}
return res;
};
return dfs(dfs, 0, -1);
}
int main() {
#ifdef ATCODER
std::cin.tie(nullptr);
std::cout.tie(nullptr);
std::ios::sync_with_stdio(false);
std::cout << solve().val() << '\n';
#else
std::cout << "Hello World\n";
#endif
}
Traceback (most recent call last):
File "/opt/hostedtoolcache/Python/3.13.5/x64/lib/python3.13/site-packages/onlinejudge_verify/documentation/build.py", line 71, in _render_source_code_stat
bundled_code = language.bundle(stat.path, basedir=basedir, options={'include_paths': [basedir]}).decode()
~~~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/opt/hostedtoolcache/Python/3.13.5/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/cplusplus.py", line 187, in bundle
bundler.update(path)
~~~~~~~~~~~~~~^^^^^^
File "/opt/hostedtoolcache/Python/3.13.5/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 401, in update
self.update(self._resolve(pathlib.Path(included), included_from=path))
~~~~~~~~~~~~~^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/opt/hostedtoolcache/Python/3.13.5/x64/lib/python3.13/site-packages/onlinejudge_verify/languages/cplusplus_bundle.py", line 260, in _resolve
raise BundleErrorAt(path, -1, "no such header")
onlinejudge_verify.languages.cplusplus_bundle.BundleErrorAt: atcoder/modint: line -1: no such header