This documentation is automatically generated by online-judge-tools/verification-helper
// #define PROBLEM "https://atcoder.jp/contests/abc439/tasks/abc439_g"
#define PROBLEM "https://onlinejudge.u-aizu.ac.jp/courses/lesson/2/ITP1/1/ITP1_1_A"
/*
* AtCoder Beginner Contest 439 G - Sugoroku 6
* https://atcoder.jp/contests/abc439/submissions/72425293
*/
#include "../../Src/FPS/PowerProjection.hpp"
#include "../../Src/FPS/RationalSum.hpp"
#include "../../Src/FPS/FPSNTTFriendly.hpp"
using namespace zawa;
#include "atcoder/modint"
using mint = atcoder::modint998244353;
using fps = FPSNTTFriendly<mint::mod()>;
#include <iostream>
using namespace std;
int main() {
#ifdef ATCODER
cin.tie(0);
cout.tie(0);
ios::sync_with_stdio(0);
int N, M, L;
cin >> N >> M >> L;
const mint inv = mint::raw(M).inv();
fps dice(N + 1);
for (int i = 0 ; i < M ; i++) {
int a;
cin >> a;
dice[a] = inv;
}
fps q{PowerProjection(N + 1, fps(N, 1), dice)};
fps p(N + 1);
for (int i = 0 ; i <= N ; i++)
p[i] = 1 - q[i];
for (int i = N ; i >= 1 ; i--)
p[i] -= p[i - 1];
vector<fps> num, den;
for (int j = 1 ; j <= N ; j++) {
if (q[j - 1] == mint{})
break;
num.push_back({p[j] * q[j - 1].pow(L - 1)});
den.push_back({1, -q[j] * q[j - 1].inv()});
}
auto [a, b] = RationalSum(num, den);
auto ans = a * b.inv(L);
for (int i = 0 ; i < L ; i++)
cout << ans[i].val() << '\n';
#else
std::cout << "Hello World\n";
#endif
}Traceback (most recent call last):
File "/opt/hostedtoolcache/Python/3.12.13/x64/lib/python3.12/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/3.12.13/x64/lib/python3.12/site-packages/onlinejudge_verify/languages/cplusplus.py", line 187, in bundle
bundler.update(path)
File "/opt/hostedtoolcache/Python/3.12.13/x64/lib/python3.12/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/3.12.13/x64/lib/python3.12/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/3.12.13/x64/lib/python3.12/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