結果
| 問題 | No.1100 Boxes |
| ユーザー |
 noimi
|
| 提出日時 | 2020-06-26 22:16:33 |
| 言語 | C++17 (gcc 13.2.0 + boost 1.83.0) |
| 結果 |
AC
|
| 実行時間 | 49 ms / 2,000 ms |
| コード長 | 21,008 bytes |
| コンパイル時間 | 3,453 ms |
| コンパイル使用メモリ | 237,692 KB |
| 実行使用メモリ | 7,628 KB |
| 最終ジャッジ日時 | 2023-09-18 05:28:20 |
| 合計ジャッジ時間 | 5,571 ms |
|
ジャッジサーバーID （参考情報） |
judge11 / judge13 |
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 | 1 ms
4,380 KB |
| testcase_01 | AC | 2 ms
4,376 KB |
| testcase_02 | AC | 2 ms
4,380 KB |
| testcase_03 | AC | 2 ms
4,380 KB |
| testcase_04 | AC | 1 ms
4,380 KB |
| testcase_05 | AC | 1 ms
4,380 KB |
| testcase_06 | AC | 2 ms
4,376 KB |
| testcase_07 | AC | 1 ms
4,380 KB |
| testcase_08 | AC | 1 ms
4,376 KB |
| testcase_09 | AC | 2 ms
4,376 KB |
| testcase_10 | AC | 1 ms
4,376 KB |
| testcase_11 | AC | 2 ms
4,380 KB |
| testcase_12 | AC | 2 ms
4,380 KB |
| testcase_13 | AC | 2 ms
4,376 KB |
| testcase_14 | AC | 2 ms
4,380 KB |
| testcase_15 | AC | 2 ms
4,376 KB |
| testcase_16 | AC | 1 ms
4,380 KB |
| testcase_17 | AC | 2 ms
4,376 KB |
| testcase_18 | AC | 2 ms
4,376 KB |
| testcase_19 | AC | 3 ms
4,380 KB |
| testcase_20 | AC | 6 ms
4,380 KB |
| testcase_21 | AC | 19 ms
4,964 KB |
| testcase_22 | AC | 40 ms
6,864 KB |
| testcase_23 | AC | 20 ms
5,104 KB |
| testcase_24 | AC | 21 ms
5,160 KB |
| testcase_25 | AC | 25 ms
5,300 KB |
| testcase_26 | AC | 46 ms
7,376 KB |
| testcase_27 | AC | 41 ms
6,716 KB |
| testcase_28 | AC | 11 ms
4,380 KB |
| testcase_29 | AC | 43 ms
7,064 KB |
| testcase_30 | AC | 39 ms
6,552 KB |
| testcase_31 | AC | 14 ms
4,824 KB |
| testcase_32 | AC | 28 ms
5,440 KB |
| testcase_33 | AC | 49 ms
7,464 KB |
| testcase_34 | AC | 49 ms
7,432 KB |
| testcase_35 | AC | 2 ms
4,376 KB |
| testcase_36 | AC | 40 ms
7,628 KB |
| testcase_37 | AC | 1 ms
4,380 KB |
| testcase_38 | AC | 23 ms
5,236 KB |
| testcase_39 | AC | 47 ms
7,220 KB |
ソースコード
#pragma region Macros
#pragma GCC optimize("O3")
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define rep2(i, a, b) for(ll i = a; i <= b; ++i)
#define rep(i, n) for(ll i = 0; i < n; ++i)
#define rep3(i, a, b) for(ll i = a; i >= b; --i)
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pb push_back
#define eb emplace_back
#define vi vector<int>
#define vll vector<ll>
#define vpi vector<pii>
#define vpll vector<pll>
#define overload2(_1, _2, name, ...) name
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size) \
vector<type> name(size); \
IN(name)
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w) \
vector<vector<type>> name(h, vector<type>(w)); \
IN(name)
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define fi first
#define se second
#define all(c) begin(c), end(c)
#define ios ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
using namespace std;
template <class T> using pq = priority_queue<T>;
template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
#define Size(c) (int)(c).size()
#define INT(...) \
int __VA_ARGS__; \
IN(__VA_ARGS__)
#define LL(...) \
ll __VA_ARGS__; \
IN(__VA_ARGS__)
#define ULL(...) \
ull __VA_ARGS__; \
IN(__VA_ARGS__)
#define STR(...) \
string __VA_ARGS__; \
IN(__VA_ARGS__)
#define CHR(...) \
char __VA_ARGS__; \
IN(__VA_ARGS__)
#define DBL(...) \
double __VA_ARGS__; \
IN(__VA_ARGS__)
#define LD(...) \
ld __VA_ARGS__; \
IN(__VA_ARGS__)
int scan() { return getchar(); }
template <class T> void scan(T a) { cin >> a; }
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(long double &a) { cin >> a; }
void scan(char a[]) { scanf("%s", a); }
void scan(string &a) { cin >> a; }
template <class T> void scan(vector<T> &);
template <class T, size_t size> void scan(array<T, size> &);
template <class T, class L> void scan(pair<T, L> &);
template <class T, size_t size> void scan(T (&)[size]);
template <class T> void scan(vector<T> &a) {
for(auto &i : a) scan(i);
}
template <class T> void scan(deque<T> &a) {
for(auto &i : a) scan(i);
}
template <class T, size_t size> void scan(array<T, size> &a) {
for(auto &i : a) scan(i);
}
template <class T, class L> void scan(pair<T, L> &p) {
scan(p.first);
scan(p.second);
}
template <class T, size_t size> void scan(T (&a)[size]) {
for(auto &i : a) scan(i);
}
template <class T> void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail> void IN(Head &head, Tail &... tail) {
scan(head);
IN(tail...);
}
string stin() {
string s;
cin >> s;
return s;
}
template <class T, class S> inline bool chmax(T &a, S b) {
if(a < b) {
a = b;
return 1;
}
return 0;
}
template <class T, class S> inline bool chmin(T &a, S b) {
if(a > b) {
a = b;
return 1;
}
return 0;
}
vi iota(int n) {
vi a(n);
iota(all(a), 0);
return a;
}
template <class T> void UNIQUE(vector<T> &x) {
sort(all(x));
x.erase(unique(all(x)), x.end());
}
int in() {
int x;
cin >> x;
return x;
}
ll lin() {
unsigned long long x;
cin >> x;
return x;
}
void print() { putchar(' '); }
void print(bool a) { cout << a; }
void print(int a) { cout << a; }
void print(long long a) { cout << a; }
void print(char a) { cout << a; }
void print(string &a) { cout << a; }
void print(double a) { cout << a; }
template <class T> void print(const vector<T> &);
template <class T, size_t size> void print(const array<T, size> &);
template <class T, class L> void print(const pair<T, L> &p);
template <class T, size_t size> void print(const T (&)[size]);
template <class T> void print(const vector<T> &a) {
if(a.empty()) return;
print(a[0]);
for(auto i = a.begin(); ++i != a.end();) {
cout << " ";
print(*i);
}
cout << endl;
}
template <class T> void print(const deque<T> &a) {
if(a.empty()) return;
print(a[0]);
for(auto i = a.begin(); ++i != a.end();) {
cout << " ";
print(*i);
}
}
template <class T, size_t size> void print(const array<T, size> &a) {
print(a[0]);
for(auto i = a.begin(); ++i != a.end();) {
cout << " ";
print(*i);
}
}
template <class T, class L> void print(const pair<T, L> &p) {
cout << '(';
print(p.first);
cout << ",";
print(p.second);
cout << ')';
}
template <class T> void print(set<T> &x) {
for(auto e : x) print(e), cout << " ";
cout << endl;
}
template <class T> void print(multiset<T> &x) {
for(auto e : x) print(e), cout << " ";
cout << endl;
}
template <class T, size_t size> void print(const T (&a)[size]) {
print(a[0]);
for(auto i = a; ++i != end(a);) {
cout << " ";
print(*i);
}
}
template <class T> void print(const T &a) { cout << a; }
int out() {
putchar('\n');
return 0;
}
template <class T> int out(const T &t) {
print(t);
putchar('\n');
return 0;
}
template <class Head, class... Tail> int out(const Head &head, const Tail &... tail) {
print(head);
putchar(' ');
out(tail...);
return 0;
}
ll gcd(ll a, ll b) {
while(b) {
ll c = b;
b = a % b;
a = c;
}
return a;
}
ll lcm(ll a, ll b) {
if(!a || !b) return 0;
return a * b / gcd(a, b);
}
vector<pll> factor(ll x) {
vector<pll> ans;
for(ll i = 2; i * i <= x; i++)
if(x % i == 0) {
ans.push_back({i, 1});
while((x /= i) % i == 0) ans.back().second++;
}
if(x != 1) ans.push_back({x, 1});
return ans;
}
vector<int> divisor(int x) {
vector<int> ans;
for(int i = 1; i * i <= x; i++)
if(x % i == 0) {
ans.pb(i);
if(i * i != x) ans.pb(x / i);
}
return ans;
}
template <typename T> void zip(vector<T> &x) {
vector<T> y = x;
sort(all(y));
for(int i = 0; i < x.size(); ++i) { x[i] = lb(y, x[i]); }
}
int popcount(ll x) { return __builtin_popcountll(x); }
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int rnd(int n) { return uniform_int_distribution<int>(0, n - 1)(rng); }
template <typename T> void shuffle(vector<T> &v) {
rep3(i, v.size() - 1, 1) { swap(v[i], v[rnd(i)]); }
}
#define endl '\n'
vector<string> YES{"NO", "YES"};
vector<string> Yes{"No", "Yes"};
vector<string> yes{"no", "yes"};
#ifdef _LOCAL
#undef endl
#define debug(x) \
cout << #x << ": "; \
print(x); \
cout << endl;
void err() {}
template <class T> void err(const T &t) {
print(t);
cout << " ";
}
template <class Head, class... Tail> void err(const Head &head, const Tail &... tail) {
print(head);
putchar(' ');
out(tail...);
}
#else
#define debug(x)
template <class... T> void err(const T &...) {}
#endif
template <typename T> struct edge {
int from, to;
T cost;
int id;
edge(int to, T cost) : from(-1), to(to), cost(cost) {}
edge(int from, int to, T cost) : from(from), to(to), cost(cost) {}
// edge(int from,int to,T cost,int id):from(from),to(to),cost(cost),id(id){}
edge &operator=(const int &x) {
to = x;
return *this;
}
operator int() const { return to; }
};
template <typename T> using Edges = vector<edge<T>>;
template <typename T> using WeightedTree = vector<Edges<T>>;
template <typename T> using Edges = vector<edge<T>>;
template <typename T> using WeightedGraph = vector<Edges<T>>;
template <typename T> using Matrix = vector<vector<T>>;
using Graph = vector<vector<int>>;
using tree = vector<vector<int>>;
tree getTree(int n, int offset = 1) {
tree res(n);
for(int i = 0; i < n - 1; i++) {
int a, b;
cin >> a >> b;
a -= offset, b -= offset;
res[a].emplace_back(b);
res[b].emplace_back(a);
}
return res;
}
template <typename T> WeightedTree<T> getWeightedTree(int n, int offset = 1) {
WeightedTree<T> res(n);
for(int i = 0; i < n - 1; i++) {
int a, b;
cin >> a >> b;
a -= offset, b -= offset;
T c;
cin >> c;
res[a].emplace_back(b, c);
res[b].emplace_back(a, c);
}
return res;
}
Graph getGraph(int n, int m, int offset = 1) {
Graph res(n);
for(int i = 0; i < m; ++i) {
int a, b;
cin >> a >> b;
a -= offset, b -= offset;
res[a].emplace_back(b);
res[b].emplace_back(a);
}
return res;
}
template <typename T> WeightedGraph<T> getWeightedGraph(int n, int m, int offset = 1) {
WeightedGraph<T> res(n);
for(int i = 0; i < m; ++i) {
int a, b;
cin >> a >> b;
T c;
cin >> c;
res[a].emplace_back(b, c);
res[b].emplace_back(a, c);
}
}
struct Setup_io {
Setup_io() {
ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cout << fixed << setprecision(15);
}
} setup_io;
#pragma endregion
// _________コーディングはここから！！___________
// namespace modular {
// constexpr ll MOD = 998244353;
// const int MAXN = 1100000;
// template <ll Modulus> class modint {
// using u64 = ll;
// public:
// u64 a;
// constexpr modint(const u64 x = 0) noexcept : a(((x % Modulus) + Modulus) % Modulus) {}
// constexpr u64 &value() noexcept { return a; }
// constexpr const u64 &value() const noexcept { return a; }
// constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; }
// constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; }
// constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; }
// template <typename T> constexpr modint operator^(T rhs) const noexcept { return modint(*this) ^= rhs; }
// constexpr modint &operator+=(const modint rhs) noexcept {
// a += rhs.a;
// if(a >= Modulus) { a -= Modulus; }
// return *this;
// }
// constexpr modint &operator-=(const modint rhs) noexcept {
// if(a < rhs.a) { a += Modulus; }
// a -= rhs.a;
// return *this;
// }
// constexpr modint &operator*=(const modint rhs) noexcept {
// a = a * rhs.a % Modulus;
// return *this;
// }
// constexpr bool operator==(const modint rhs) const noexcept { return a == rhs.a; }
// template <typename T> constexpr modint &operator^=(T n) noexcept {
// modint<Modulus> res = 1;
// modint<Modulus> x = a;
// while(n) {
// if(n & 1) res *= x;
// x *= x;
// n >>= 1;
// }
// a = res.a;
// return *this;
// }
// };
// #define mint modint<MOD>
// #define vmint vector<mint>
// vmint Inv{0, 1}, Prd{1, 1}, Invprd{1, 1};
// mint inv(int n) {
// if(Inv.size() > n)
// return Inv[n];
// else {
// for(int i = Inv.size(); i <= n; ++i) Inv.emplace_back(Inv[MOD % i] * (-MOD / i));
// return Inv[n];
// }
// }
// mint prd(int n) {
// if(Prd.size() > n)
// return Prd[n];
// else
// for(int i = Prd.size(); i <= n; ++i) Prd.emplace_back(Prd[i - 1] * i);
// return Prd[n];
// }
// mint invprd(int n) {
// if(Invprd.size() > n)
// return Invprd[n];
// else
// for(int i = Invprd.size(); i <= n; ++i) Invprd.emplace_back(Invprd[i - 1] * inv(i));
// return Invprd[n];
// }
// mint modpow(ll a, ll n) {
// mint x = a;
// return x ^= n;
// }
// template <ll T> modint<T> operator/(modint<T> l, modint<T> r) {
// if(r.a < MAXN) return l * inv(r.a);
// return l * (r ^ (MOD - 2));
// }
// template <typename T, ll S> modint<S> operator/(T l, modint<S> r) { return modint<S>(l) / r; }
// template <ll T> modint<T> operator/=(modint<T> &l, modint<T> r) { return l = l / r; }
// mint C(int a, int b) {
// if(a < 0 || b < 0) return 0;
// if(a < b) return 0;
// return prd(a) * invprd(b) * invprd(a - b);
// }
// mint P(int a, int b) {
// if(a < 0 || b < 0) return 0;
// if(a < b) return 0;
// return prd(a) * invprd(a - b);
// }
// ostream &operator<<(ostream &os, mint a) {
// os << a.a;
// return os;
// }
// template <typename T> ostream &operator<<(ostream &os, vector<T> &a) {
// for(auto &e : a) os << e << " ";
// os << endl;
// return os;
// }
// istream &operator>>(istream &is, mint &a) {
// ll x;
// is >> x;
// a = x;
// return is;
// }
// } // namespace modular
// Stirling number from https://judge.yosupo.jp/submission/4988
char readchar() {
static char buf[1 << 15], *ptr = buf, *end = buf;
if(ptr == end) ptr = buf, end = buf + fread(buf, 1, 1 << 15, stdin);
return *ptr++;
}
void writechar(char c = 0) {
static char buf[1 << 15], *ptr = buf;
if(ptr == end(buf) or c == 0) fwrite(buf, 1, ptr - buf, stdout), ptr = buf;
*ptr++ = c;
}
template <class Z> Z getint() {
char c = readchar();
bool neg = c == '-';
Z res = neg ? 0 : c - '0';
while(isdigit(c = readchar())) res = res * 10 + (c - '0');
return neg ? -res : res;
}
template <class Z> void putint(Z a, char c = '\n') {
if(a < 0) writechar('-'), a = -a;
int d[40], i = 0;
do
d[i++] = a % 10;
while(a /= 10);
while(i--) writechar('0' + d[i]);
writechar(c);
}
string getstring() {
string res;
for(char c; (c = readchar()) != '\n';) res += c;
return res;
}
void putstring(string s) {
for(char c : s) writechar(c);
writechar('\n');
}
template <class T, class Op = multiplies<T>> T power(T a, long long n, Op op = multiplies<T>(), T e = {1}) {
assert(n >= 0);
while(n) {
if(n & 1) e = op(e, a);
if(n >>= 1) a = op(a, a);
}
return e;
}
template <unsigned M> struct modular {
using m = modular;
unsigned v;
modular(long long x = 0) : v((x %= M) < 0 ? x + M : x) {}
m operator-() const { return m() -= *this; }
m &operator+=(m b) {
if((v += b.v) >= M) v -= M;
return *this;
}
m &operator-=(m b) {
if(v < b.v) v += M;
v -= b.v;
return *this;
}
m &operator*=(m b) {
v = (uint64_t)v * b.v % M;
return *this;
}
m &operator/=(m b) { return *this *= power(b, M - 2); }
friend m operator+(m a, m b) { return a += b; }
friend m operator-(m a, m b) { return a -= b; }
friend m operator*(m a, m b) { return a *= b; }
friend m operator/(m a, m b) { return a /= b; }
friend bool operator==(m a, m b) { return a.v == b.v; }
friend string to_string(m a) { return to_string(a.v); }
};
template <unsigned M> void ntt(vector<modular<M>> &a, bool inverse) {
static vector<modular<M>> dw(30), idw(30);
if(dw[0] == 0) {
modular<M> root = 2;
while(power(root, (M - 1) / 2) == 1) root += 1;
for(int i = 0; i < 30; ++i) dw[i] = -power(root, (M - 1) >> (i + 2)), idw[i] = 1 / dw[i];
}
int n = a.size();
assert((n & (n - 1)) == 0);
if(not inverse) {
for(int m = n; m >>= 1;) {
modular<M> w = 1;
for(int s = 0, k = 0; s < n; s += 2 * m) {
for(int i = s, j = s + m; i < s + m; ++i, ++j) {
auto x = a[i], y = a[j] * w;
if(x.v >= M) x.v -= M;
a[i].v = x.v + y.v, a[j].v = x.v + (M - y.v);
}
w *= dw[__builtin_ctz(++k)];
}
}
} else {
for(int m = 1; m < n; m *= 2) {
modular<M> w = 1;
for(int s = 0, k = 0; s < n; s += 2 * m) {
for(int i = s, j = s + m; i < s + m; ++i, ++j) {
auto x = a[i], y = a[j];
a[i] = x + y, a[j].v = x.v + (M - y.v), a[j] *= w;
}
w *= idw[__builtin_ctz(++k)];
}
}
}
auto c = 1 / modular<M>(inverse ? n : 1);
for(auto &&e : a) e *= c;
}
template <unsigned M> vector<modular<M>> operator*(vector<modular<M>> a, vector<modular<M>> b) {
if(a.empty() or b.empty()) return {};
int n = a.size(), m = b.size(), sz = 1 << __lg(2 * (n + m - 1) - 1);
if(min(n, m) < 30) {
vector<long long> res(n + m - 1);
for(int i = 0; i < n; ++i)
for(int j = 0; j < m; ++j) res[i + j] += (a[i] * b[j]).v;
return {begin(res), end(res)};
}
bool eq = a == b;
a.resize(sz), ntt(a, false);
if(eq)
b = a;
else
b.resize(sz), ntt(b, false);
for(int i = 0; i < sz; ++i) a[i] *= b[i];
ntt(a, true), a.resize(n + m - 1);
return a;
}
constexpr long long mod = 998244353;
using mint = modular<mod>;
vector<mint> fact, inv_fact, minv;
void prepare(int n) {
fact.resize(n + 1), inv_fact.resize(n + 1), minv.resize(n + 1);
for(int i = 0; i <= n; ++i) fact[i] = i ? i * fact[i - 1] : 1;
inv_fact[n] = power(fact[n], mod - 2);
for(int i = n; i; --i) inv_fact[i - 1] = i * inv_fact[i];
for(int i = 1; i <= n; ++i) minv[i] = inv_fact[i] * fact[i - 1];
}
mint binom(int n, int k) {
if(k < 0 or k > n) return 0;
return fact[n] * inv_fact[k] * inv_fact[n - k];
}
template <> mint &mint::operator/=(mint r) { return *this *= r.v < minv.size() ? minv[r.v] : power(r, mod - 2); }
int main() {
int n = getint<int>();
int k = getint<int>();
prepare(k + 1);
vector<mint> a(k + 1), b(k + 1);
for(int i = 0; i <= k; ++i) {
a[i] = power(-1, i) * power(mint(i), n) * inv_fact[i];
b[i] = inv_fact[i];
}
auto c = a * b;
mint ans;
for(int i = 1; i <= k; ++i) {
c[i] *= power(-1, i);
if((k - i) & 1) {
ans += binom(k, i) * c[i].v * fact[i];
}
// putint(c[i].v, " \n"[i == n]);
}
putint(ans.v, '\n');
writechar();
}