結果
| 問題 | No.2944 Sigma Partition Problem |
| ユーザー |
 pitP
|
| 提出日時 | 2024-10-18 23:42:10 |
| 言語 | C++23(gcc13) (gcc 13.2.0 + boost 1.83.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 7,830 bytes |
| コンパイル時間 | 7,046 ms |
| コンパイル使用メモリ | 338,684 KB |
| 最終ジャッジ日時 | 2024-10-18 23:42:28 |
| 合計ジャッジ時間 | 11,014 ms |
|
ジャッジサーバーID （参考情報） |
judge5 / judge3 |
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テストケース
テストケース表示| 入力 | 結果 | 実行時間 実行使用メモリ |
|---|---|---|
| testcase_00 | TLE | - |
| testcase_01 | -- | - |
| testcase_02 | -- | - |
| testcase_03 | -- | - |
| testcase_04 | -- | - |
| testcase_05 | -- | - |
| testcase_06 | -- | - |
| testcase_07 | -- | - |
| testcase_08 | -- | - |
| testcase_09 | -- | - |
| testcase_10 | -- | - |
| testcase_11 | -- | - |
| testcase_12 | -- | - |
| testcase_13 | -- | - |
| testcase_14 | -- | - |
| testcase_15 | -- | - |
| testcase_16 | -- | - |
| testcase_17 | -- | - |
| testcase_18 | -- | - |
| testcase_19 | -- | - |
| testcase_20 | -- | - |
| testcase_21 | -- | - |
| testcase_22 | -- | - |
| testcase_23 | -- | - |
| testcase_24 | -- | - |
| testcase_25 | -- | - |
ソースコード
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); }
istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); }
istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; }
ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); }
typedef long long ll;
typedef vector<vector<int>> Graph;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define FOR(i,l,r) for (int i = l;i < (int)(r); i++)
#define rep(i,n) for (int i = 0;i < (int)(n); i++)
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define my_sort(x) sort(x.begin(), x.end())
#define my_max(x) *max_element(all(x))
#define my_min(x) *min_element(all(x))
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
const int INF = (1<<30) - 1;
const ll LINF = (1LL<<62) - 1;
const int MOD = 998244353;
const int MOD2 = 1e9+7;
const double PI = acos(-1);
vector<int> di = {1,0,-1,0};
vector<int> dj = {0,1,0,-1};
#ifdef LOCAL
# include <debug_print.hpp>
# define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
# define debug(...) (static_cast<void>(0))
#endif
//形式的冪級数
//https://qiita.com/gg_hatano/items/3591ddf267092c235a23
#define rep2(i, m, n) for (int i = (m); i < (n); ++i)
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
template<class T>
struct FormalPowerSeries : vector<T> {
using vector<T>::vector;
using vector<T>::operator=;
using F = FormalPowerSeries;
F operator-() const {
F res(*this);
for (auto &e : res) e = -e;
return res;
}
F &operator*=(const T &g) {
for (auto &e : *this) e *= g;
return *this;
}
F &operator/=(const T &g) {
assert(g != T(0));
*this *= g.inv();
return *this;
}
F &operator+=(const F &g) {
int n = (*this).size(), m = g.size();
rep(i, min(n, m)) (*this)[i] += g[i];
return *this;
}
F &operator-=(const F &g) {
int n = (*this).size(), m = g.size();
rep(i, min(n, m)) (*this)[i] -= g[i];
return *this;
}
F &operator<<=(const int d) {
int n = (*this).size();
(*this).insert((*this).begin(), d, 0);
(*this).resize(n);
return *this;
}
F &operator>>=(const int d) {
int n = (*this).size();
(*this).erase((*this).begin(), (*this).begin() + min(n, d));
(*this).resize(n);
return *this;
}
F inv(int d = -1) const {
int n = (*this).size();
assert(n != 0 && (*this)[0] != 0);
if (d == -1) d = n;
assert(d > 0);
F res{(*this)[0].inv()};
while (res.size() < d) {
int m = size(res);
F f(begin(*this), begin(*this) + min(n, 2*m));
F r(res);
f.resize(2*m), internal::butterfly(f);
r.resize(2*m), internal::butterfly(r);
rep(i, 2*m) f[i] *= r[i];
internal::butterfly_inv(f);
f.erase(f.begin(), f.begin() + m);
f.resize(2*m), internal::butterfly(f);
rep(i, 2*m) f[i] *= r[i];
internal::butterfly_inv(f);
T iz = T(2*m).inv(); iz *= -iz;
rep(i, m) f[i] *= iz;
res.insert(res.end(), f.begin(), f.begin() + m);
}
return {res.begin(), res.begin() + d};
}
// fast: FMT-friendly modulus only
F &operator*=(const F &g) {
int n = (*this).size();
*this = convolution(*this, g);
(*this).resize(n);
return *this;
}
F &operator/=(const F &g) {
int n = (*this).size();
*this = convolution(*this, g.inv(n));
(*this).resize(n);
return *this;
}
// // naive
// F &operator*=(const F &g) {
// int n = (*this).size(), m = g.size();
// drep(i, n) {
// (*this)[i] *= g[0];
// rep2(j, 1, min(i+1, m)) (*this)[i] += (*this)[i-j] * g[j];
// }
// return *this;
// }
// F &operator/=(const F &g) {
// assert(g[0] != T(0));
// T ig0 = g[0].inv();
// int n = (*this).size(), m = g.size();
// rep(i, n) {
// rep2(j, 1, min(i+1, m)) (*this)[i] -= (*this)[i-j] * g[j];
// (*this)[i] *= ig0;
// }
// return *this;
// }
// sparse
F &operator*=(vector<pair<int, T>> g) {
int n = (*this).size();
auto [d, c] = g.front();
if (d == 0) g.erase(g.begin());
else c = 0;
drep(i, n) {
(*this)[i] *= c;
for (auto &[j, b] : g) {
if (j > i) break;
(*this)[i] += (*this)[i-j] * b;
}
}
return *this;
}
F &operator/=(vector<pair<int, T>> g) {
int n = (*this).size();
auto [d, c] = g.front();
assert(d == 0 && c != T(0));
T ic = c.inv();
g.erase(g.begin());
rep(i, n) {
for (auto &[j, b] : g) {
if (j > i) break;
(*this)[i] -= (*this)[i-j] * b;
}
(*this)[i] *= ic;
}
return *this;
}
// multiply and divide (1 + cz^d)
void multiply(const int d, const T c) {
int n = (*this).size();
if (c == T(1)) drep(i, n-d) (*this)[i+d] += (*this)[i];
else if (c == T(-1)) drep(i, n-d) (*this)[i+d] -= (*this)[i];
else drep(i, n-d) (*this)[i+d] += (*this)[i] * c;
}
void divide(const int d, const T c) {
int n = (*this).size();
if (c == T(1)) rep(i, n-d) (*this)[i+d] -= (*this)[i];
else if (c == T(-1)) rep(i, n-d) (*this)[i+d] += (*this)[i];
else rep(i, n-d) (*this)[i+d] -= (*this)[i] * c;
}
T eval(const T &a) const {
T x(1), res(0);
for (auto e : *this) res += e * x, x *= a;
return res;
}
F operator*(const T &g) const { return F(*this) *= g; }
F operator/(const T &g) const { return F(*this) /= g; }
F operator+(const F &g) const { return F(*this) += g; }
F operator-(const F &g) const { return F(*this) -= g; }
F operator<<(const int d) const { return F(*this) <<= d; }
F operator>>(const int d) const { return F(*this) >>= d; }
F operator*(const F &g) const { return F(*this) *= g; }
F operator/(const F &g) const { return F(*this) /= g; }
F operator*(vector<pair<int, T>> g) const { return F(*this) *= g; }
F operator/(vector<pair<int, T>> g) const { return F(*this) /= g; }
};
using mint = modint998244353;
using fps = FormalPowerSeries<mint>;
using sfps = vector<pair<int, mint>>; // (次数，係数)
int main(){
cin.tie(0);
ios_base::sync_with_stdio(false);
int Q; cin >> Q;
const int M = 4040;
vector acc(M + 1, vector<mint>(M + 1)); // acc[N][K];
FOR(N, 1, M){
fps f(N + 1);
f[0] = 1;
FOR(j, 1, M){
int m = N / j;
sfps g10 = {{j, 1}, {(m + 1) * j, -1}};
sfps g11 = {{0, 1}, {j, -1}};
// fps h = f;
f *= g10;
f /= g11;
acc[N][j] = acc[N][j - 1] + f[N];
sfps g00 = {{0, 1}, {(m + 1) * j, -1}};
sfps g01 = {{0, 1}, {j, -1}};
f *= g00;
f /= g01;
}
}
while(Q--){
int flg, N, K; cin >> flg >> N >> K;
cout << acc[N][K] << endl;
}
}