結果
| 問題 | No.2995 The Ruler Sequence Concatenation |
| ユーザー |
 ecottea
|
| 提出日時 | 2024-12-20 04:59:54 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 63,907 bytes |
| コンパイル時間 | 6,363 ms |
| コンパイル使用メモリ | 348,804 KB |
| 実行使用メモリ | 6,820 KB |
| 最終ジャッジ日時 | 2024-12-20 05:00:06 |
| 合計ジャッジ時間 | 7,016 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge1 |
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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 | AC | 2 ms
6,816 KB |
| testcase_01 | AC | 2 ms
6,820 KB |
| testcase_02 | AC | 2 ms
6,816 KB |
| testcase_03 | AC | 2 ms
6,820 KB |
| testcase_04 | AC | 18 ms
6,816 KB |
| testcase_05 | AC | 38 ms
6,820 KB |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | WA | - |
| testcase_09 | WA | - |
| testcase_10 | WA | - |
ソースコード
#ifndef HIDDEN_IN_VS // 折りたたみ用
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
using namespace std;
using ll = long long; using ull = unsigned long long; // -2^63 ～ 2^63 = 9e18（int は -2^31 ～ 2^31 = 2e9）
using pii = pair<int, int>; using pll = pair<ll, ll>; using pil = pair<int, ll>; using pli = pair<ll, int>;
using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; using vvvvi = vector<vvvi>;
using vl = vector<ll>; using vvl = vector<vl>; using vvvl = vector<vvl>; using vvvvl = vector<vvvl>;
int INF = 1001001001; ll INFL = 4004004003094073385LL; // (int)INFL = INF, (int)(-INFL) = -INF;
// 入出力高速化
struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp;
// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((int)(x).size())
#define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), (x)))
#define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), (x)))
#define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");}
#define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順
#define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i)
#define repe(v, a) for(const auto& v : (a))
// 汎用関数の定義
template <class T> inline ll powi(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; }
#endif // 折りたたみ用
#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#ifdef _MSC_VER
#include "localACL.hpp"
#endif
using mint = modint998244353;
namespace atcoder {
inline istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; }
inline ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; }
}
using vm = vector<mint>; using vvm = vector<vm>; using vvvm = vector<vvm>; using vvvvm = vector<vvvm>; using pim = pair<int, mint>;
#endif
#ifdef _MSC_VER
#include "local.hpp"
#else
inline int popcount(int n) { return __builtin_popcount(n); }
inline int popcount(ll n) { return __builtin_popcountll(n); }
inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : 32; }
inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : 64; }
inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; }
inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; }
#define dump(...)
#define dumpel(...)
#define dump_list(v)
#define dump_mat(v)
#define input_from_file(f)
#define output_to_file(f)
#define Assert(b)
#endif
mint bostan_mori(vm f, vm g, ll N) {
if (sz(f) == 0) return 0;
while (N > 0) {
vm f2, g2 = g;
rep(i, sz(g2)) if (i & 1) g2[i] *= -1;
f2 = convolution(f, g2);
g2 = convolution(g2, g);
f.clear(); g.clear();
if (N & 1) rep(i, min<ll>(sz(f2) / 2, N / 2 + 1)) f.push_back(f2[2 * i + 1]);
else rep(i, min<ll>((sz(f2) + 1) / 2, N / 2 + 1)) f.push_back(f2[2 * i]);
rep(i, min<ll>((sz(g2) + 1) / 2, N / 2 + 1)) g.push_back(g2[2 * i]);
N /= 2;
}
return f[0] / g[0];
}
mint linearly_recurrent_sequence(const vm& a, const vm& c, ll N) {
int n = sz(c);
if (n == 0) return 0;
vm Dnm(n + 1);
Dnm[0] = 1;
repi(i, 1, n) Dnm[i] = -c[i - 1];
vm Num = convolution(Dnm, a);
Num.resize(n);
return bostan_mori(Num, Dnm, N);
}
vm berlekamp_massey(const vm& a) {
vm S(a), C{ 1 }, B{ 1 };
int N = sz(a), m = 1; mint b = 1;
rep(n, N) {
mint d = 0;
rep(i, sz(C)) d += C[i] * S[n - i];
if (d == 0) {
m++;
}
else if (2 * (sz(C) - 1) <= n) {
vm T(C);
mint coef = d * b.inv();
C.resize(max(sz(C), sz(B) + m));
rep(j, sz(B)) C[j + m] -= coef * B[j];
B = T;
b = d;
m = 1;
}
else {
mint coef = d * b.inv();
C.resize(max(sz(C), sz(B) + m));
rep(j, sz(B)) C[j + m] -= coef * B[j];
m++;
}
}
C.erase(C.begin());
rep(i, sz(C)) C[i] *= -1;
return C;
}
constexpr ll MOD = mint::mod();
template <class T>
T ceil_mod(T x, T m, T k) {
Assert(m > 0);
return x + ((k - x) % m + m) % m;
}
vector<tuple<ll, int, int>> ume = { 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constexpr int W = 10000000;
mint solve(ll N) {
vl p10(18 + 1);
repi(i, 0, 18) p10[i] = powi(10, i);
int i = ubpos(ume, make_tuple(N / W, INF, INF)) - 1;
auto [N0, r_, pow10_] = ume[i];
N0 *= W;
if (N - N0 <= 2 * W) {
mint r = r_;
mint pow10 = pow10_;
for (ll n = N0 + 1; n <= N; n++) {
string s = to_string(n);
int l = sz(s);
ll p = p10[l];
r = r * (pow10 * p + 1) + n * pow10;
pow10 = pow10 * pow10 * p;
}
return r;
}
else {
string s = to_string(N);
int l = sz(s);
ll N00 = ceil_mod<ll>(p10[l - 1] + W, MOD, N);
vm a;
rep(k, 4) {
ll N2 = N00 + MOD * k;
int i = ubpos(ume, make_tuple(N2, INF, INF)) - 1;
auto [N0, r_, pow10_] = ume[i];
N0 *= W;
dump(N0, N2);
mint r = r_;
mint pow10 = pow10_;
for (ll n = N0 + 1; n <= N2; n++) {
string s = to_string(n);
int l = sz(s);
ll p = p10[l];
r = r * (pow10 * p + 1) + n * pow10;
pow10 = pow10 * pow10 * p;
}
a.push_back(r);
}
auto c = berlekamp_massey(a);
a.resize(sz(c));
dump("a:", a); dump("c:", c);
ll D = N - N00;
ll Q = D / MOD;
mint res = linearly_recurrent_sequence(a, c, Q);
return res;
}
return 0;
}
int main() {
ll n;
cin >> n;
cout << solve(n) << endl;
}