結果
| 問題 |
No.3175 転移迷宮 (Easy)
|
| ユーザー |
 hos.lyric
|
| 提出日時 | 2025-06-06 21:38:59 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 3 ms / 3,000 ms |
| コード長 | 5,649 bytes |
| コンパイル時間 | 1,275 ms |
| コンパイル使用メモリ | 116,044 KB |
| 実行使用メモリ | 7,848 KB |
| 最終ジャッジ日時 | 2025-06-06 21:39:03 |
| 合計ジャッジ時間 | 3,214 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 44 |
コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:113:10: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
113 | scanf("%d%d", &N, &K);
| ~~~~~^~~~~~~~~~~~~~~~
ソースコード
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <chrono>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
static constexpr unsigned M = M_;
unsigned x;
constexpr ModInt() : x(0U) {}
constexpr ModInt(unsigned x_) : x(x_ % M) {}
constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////
constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;
// singular ==> return false;
// solution: a[j][n]
bool linearSystem(vector<vector<Mint>> &a) {
const int n = a.size();
for (int h = 0; h < n; ++h) {
for (int i = h; i < n; ++i) if (a[i][h]) {
swap(a[h], a[i]);
break;
}
if (!a[h][h]) return false;
const Mint s = a[h][h].inv();
for (int j = h + 1; j <= n; ++j) a[h][j] *= s;
for (int i = h + 1; i < n; ++i) {
for (int j = h + 1; j <= n; ++j) a[i][j] -= a[i][h] * a[h][j];
}
}
for (int i = n; --i >= 0; ) {
for (int j = i + 1; j < n; ++j) a[i][n] -= a[i][j] * a[j][n];
}
return true;
}
int N, K;
Mint f[220'010][22];
void add(int v, int u, Mint c) {
for (int k = 0; k <= K; ++k) f[v][k] += f[u][k] * c;
}
int main() {
for (int numCases; ~scanf("%d", &numCases); ) { for (int caseId = 1; caseId <= numCases; ++caseId) {
scanf("%d%d", &N, &K);
for (int u = 0; u < K + N + K; ++u) fill(f[u], f[u] + (K + 1), 0);
for (int k = 0; k < K; ++k) f[K + k][k] = 1;
for (int u = K; u < K + N; ++u) {
// u -> [u-K, u+K]
add(u + K, u, 2*K + 1);
f[u + K][K] -= (2*K + 1);
for (int d = -K; d < K; ++d) add(u + K, u + d, -1);
}
//for(int u=0;u<K+N+K;++u){cerr<<u<<": ";pv(f[u],f[u]+(K+1));}
vector<vector<Mint>> a(K, vector<Mint>(K + 1));
for (int i = 0; i < K; ++i) {
const int u = K + N + i;
for (int k = 0; k < K; ++k) a[i][k] = f[u][k];
a[i][K] = -f[u][K];
}
const bool status = linearSystem(a);
assert(status); // ?
vector<Mint> ans(K + N + K, 0);
for (int u = 0; u < K + N + K; ++u) {
for (int k = 0; k < K; ++k) ans[u] += f[u][k] * a[k][K];
ans[u] += f[u][K];
}
for (int u = K; u < K + N; ++u) {
if (u > K) printf(" ");
printf("%u", ans[u].x);
}
puts("");
}
#ifndef LOCAL
break;
#endif
}
return 0;
}