結果

問題 No.2097 AND^k
ユーザー heno239heno239
提出日時 2022-10-08 19:31:50
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 648 ms / 5,000 ms
コード長 8,686 bytes
コンパイル時間 2,809 ms
コンパイル使用メモリ 175,224 KB
実行使用メモリ 17,024 KB
最終ジャッジ日時 2024-06-22 22:11:20
合計ジャッジ時間 10,779 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
このコードへのチャレンジ
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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 19 ms
11,776 KB
testcase_01 AC 18 ms
11,844 KB
testcase_02 AC 19 ms
11,776 KB
testcase_03 AC 19 ms
11,904 KB
testcase_04 AC 20 ms
11,852 KB
testcase_05 AC 18 ms
11,776 KB
testcase_06 AC 19 ms
11,848 KB
testcase_07 AC 20 ms
11,848 KB
testcase_08 AC 222 ms
14,420 KB
testcase_09 AC 125 ms
12,988 KB
testcase_10 AC 230 ms
14,320 KB
testcase_11 AC 116 ms
12,940 KB
testcase_12 AC 109 ms
12,924 KB
testcase_13 AC 489 ms
16,764 KB
testcase_14 AC 479 ms
16,896 KB
testcase_15 AC 548 ms
17,020 KB
testcase_16 AC 416 ms
16,896 KB
testcase_17 AC 536 ms
16,896 KB
testcase_18 AC 461 ms
16,896 KB
testcase_19 AC 447 ms
17,024 KB
testcase_20 AC 415 ms
16,896 KB
testcase_21 AC 419 ms
16,896 KB
testcase_22 AC 462 ms
17,024 KB
testcase_23 AC 442 ms
16,896 KB
testcase_24 AC 19 ms
11,720 KB
testcase_25 AC 648 ms
16,768 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	//if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
//mod should be <2^31
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= (int)mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += (int)mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
using ld = long double;
//typedef long double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-10;
const ld pi = acosl(-1.0);
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 2000005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;
mP operator+(mP a, mP b) {
	return { a.first + b.first,a.second + b.second };
}
mP operator+=(mP& a, mP b) {
	a = a + b; return a;
}
mP operator-(mP a, mP b) {
	return { a.first - b.first,a.second - b.second };
}
mP operator-=(mP& a, mP b) {
	a = a - b; return a;
}
LP operator+(LP a, LP b) {
	return { a.first + b.first,a.second + b.second };
}
LP operator+=(LP& a, LP b) {
	a = a + b; return a;
}
LP operator-(LP a, LP b) {
	return { a.first - b.first,a.second - b.second };
}
LP operator-=(LP& a, LP b) {
	a = a - b; return a;
}

mt19937 mt(time(0));

const string drul = "DRUL";
string senw = "SENW";
//DRUL,or SENW
//int dx[4] = { 1,0,-1,0 };
//int dy[4] = { 0,1,0,-1 };
//-----------------------------------------

int get_premitive_root() {
	int primitive_root = 0;
	if (!primitive_root) {
		primitive_root = [&]() {
			set<int> fac;
			int v = mod - 1;
			for (ll i = 2; i * i <= v; i++) while (v % i == 0) fac.insert(i), v /= i;
			if (v > 1) fac.insert(v);
			for (int g = 1; g < mod; g++) {
				bool ok = true;
				for (auto i : fac) if (mod_pow(g, (mod - 1) / i) == 1) { ok = false; break; }
				if (ok) return g;
			}
			return -1;
		}();
	}
	return primitive_root;
}
const int proot = get_premitive_root();

typedef vector <modint> poly;
void dft(poly& f, bool inverse = false) {
	int n = f.size(); if (n == 1)return;

	static poly w{ 1 }, iw{ 1 };
	for (int m = w.size(); m < n / 2; m *= 2) {
		modint dw = mod_pow(proot, (mod - 1) / (4 * m)), dwinv = (modint)1 / dw;
		w.resize(m * 2); iw.resize(m * 2);
		for (int i = 0; i < m; i++)w[m + i] = w[i] * dw, iw[m + i] = iw[i] * dwinv;
	}
	if (!inverse) {
		for (int m = n; m >>= 1;) {
			for (int s = 0, k = 0; s < n; s += 2 * m, k++) {
				for (int i = s; i < s + m; i++) {
					modint x = f[i], y = f[i + m] * w[k];
					f[i] = x + y, f[i + m] = x - y;
				}
			}
		}
	}
	else {
		for (int m = 1; m < n; m *= 2) {
			for (int s = 0, k = 0; s < n; s += 2 * m, k++) {
				for (int i = s; i < s + m; i++) {
					modint x = f[i], y = f[i + m];
					f[i] = x + y, f[i + m] = (x - y) * iw[k];
				}
			}
		}
		modint n_inv = (modint)1 / (modint)n;
		for (modint& v : f)v *= n_inv;
	}
}
poly multiply(poly g, poly h) {
	int n = 1;
	int pi = 0, qi = 0;
	rep(i, g.size())if (g[i])pi = i;
	rep(i, h.size())if (h[i])qi = i;
	int sz = pi + qi + 2;
	while (n < sz)n *= 2;
	g.resize(n); h.resize(n);
	dft(g); dft(h);
	rep(i, n) {
		g[i] *= h[i];
	}
	dft(g, true);
	return g;
}

//i<=j
poly ordered_multiply(poly p, poly q, bool eq) {
	poly res;
	function<void(int, int)> dfs = [&](int l, int r) {
		if (l + 1 == r)return;
		int m = (l + r) / 2;
		dfs(l, m);
		dfs(m, r);
		poly pl, pr;
		Rep(j, l, m)if (j < p.size())pl.push_back(p[j]);
		Rep(j, m, r)pr.push_back(q[j]);
		poly pp = multiply(pl, pr);
		rep(j, pp.size())addv(res, l + m + j, pp[j]);
	};
	dfs(0, q.size());
	if (eq) {
		rep(j, q.size())if (j < p.size())addv(res, 2 * j, p[j] * q[j]);
	}
	return res;
}
poly calc(int n) {
	poly p1, p2;
	rep(i, n) {
		modint val = 1;
		val *= mod_pow(i + 1, n);
		val *= factinv[i + 1];
		p1.push_back(val);
	}
	rep(i, n) {
		modint val = factinv[i];
		if (i % 2)val *= -1;
		p2.push_back(val);
	}
	poly p = multiply(p1, p2);
	poly ans;
	if (n != 0)ans.push_back(0);
	else ans.push_back(1);
	rep(i, n)ans.push_back(p[i]);
	return ans;
}
void solve() {
	int n, m, l; cin >> n >> m >> l;
	vector<int> vs;
	int cop = m;
	while (cop > 1) {
		if (cop % 2) {
			cop--; vs.push_back(1);
		}
		else {
			cop /= 2;
			vs.push_back(2);
		}
	}
	reverse(all(vs));
	poly p(l + 1);
	p[0] = mod_pow(2, n);
	rep1(i, l) {
		p[i] = factinv[i];
	}
	rep(i, vs.size()) {
		if (vs[i] == 1) {
			modint c = mod_pow(2, cop);
			modint pro = 1;
			poly ad(l + 1);
			ad[0] = mod_pow(2, n);
			rep1(i, l) {
				pro *= c;
				ad[i] = pro * factinv[i];
			}
			p = multiply(p, ad);
			if (p.size() > l+1)p.resize(l+1);
			cop++;
		}
		else {
			poly ad(l + 1);
			modint c = mod_pow(2, cop);
			modint pro = 1;
			rep(i, p.size()) {
				ad[i] = p[i] * pro;
				pro *= c;
			}
			p = multiply(p, ad);
			if (p.size() > l + 1)p.resize(l + 1);
			cop *= 2;
		}
	}
	vector<modint> ans;
	rep1(i, l) {
		if (i < p.size()) {
			ans.push_back(p[i]*fact[i]);
		}
		else {
			ans.push_back(0);
		}
	}
	rep(i, l)cout << ans[i] << "\n";
}


signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	init_f();
	//init();
	//expr();
	//while(true)
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
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