結果

問題 No.206 数の積集合を求めるクエリ
ユーザー anta
提出日時 2015-05-08 23:10:11
言語 C++11（廃止可能性あり）
(gcc 13.3.0)
結果
AC  
実行時間 86 ms / 7,000 ms
コード長 5,587 bytes
コンパイル時間 746 ms
コンパイル使用メモリ 84,364 KB
実行使用メモリ 5,504 KB
最終ジャッジ日時 2024-07-05 20:01:55
合計ジャッジ時間 3,169 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge4
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 28
権限があれば一括ダウンロードができます
コンパイルメッセージ
main.cpp: In function ‘int main()’:
main.cpp:174:14: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  174 |         scanf("%d%d%d", &L, &M, &N);
      |         ~~~~~^~~~~~~~~~~~~~~~~~~~~~
main.cpp:180:22: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  180 |                 scanf("%d", &a), -- a;
      |                 ~~~~~^~~~~~~~~~
main.cpp:185:22: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  185 |                 scanf("%d", &b), -- b;
      |                 ~~~~~^~~~~~~~~~
main.cpp:190:14: warning: ignoring return value of ‘int scanf(const char*, ...)’ declared with attribute ‘warn_unused_result’ [-Wunused-result]
  190 |         scanf("%d", &Q);
      |         ~~~~~^~~~~~~~~~

ソースコード

diff # 

#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <set>
#include <map>
#include <queue>
#include <iostream>
#include <sstream>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <cstring>
#include <cctype>
#include <cassert>
#include <limits>
#include <functional>
#define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i))
#define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i))
#define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i))
#if defined(_MSC_VER) || __cplusplus > 199711L
#define aut(r,v) auto r = (v)
#else
#define aut(r,v) __typeof(v) r = (v)
#endif
#define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it)
#define all(o) (o).begin(), (o).end()
#define pb(x) push_back(x)
#define mp(x,y) make_pair((x),(y))
#define mset(m,v) memset(m,v,sizeof(m))
#define INF 0x3f3f3f3f
#define INFL 0x3f3f3f3f3f3f3f3fLL
using namespace std;
typedef vector<int> vi; typedef pair<int,int> pii; typedef vector<pair<int,int> > vpii; typedef long long ll;
template<typename T, typename U> inline void amin(T &x, U y) { if(y < x) x = y; }
template<typename T, typename U> inline void amax(T &x, U y) { if(x < y) x = y; }

struct MontgomeryModInt {
	static const int Mod = 998244353;
	static const int W = 32;
	static const int R = (1ULL << W) % Mod;	//= 2^W
	static const int InvR = 232013824;		//= R^{-1} (mod Mod)
	static const int InvNegMod = 998244351;	//= (-Mod)^{-1} (mod R)
#if defined(_MSC_VER) || __cplusplus > 199711L
	static_assert(InvR < Mod && ((unsigned long long)R * InvR) % Mod == 1, "InvR = R^{-1} (mod Mod)");
	static_assert(((((1ULL << W) - Mod) * InvNegMod) & 0xffffffffU) == 1, "InvNegMod = (-Mod)^{-1} (mod R)");
#endif

	unsigned residue;	//residue = value * R % Mod

	MontgomeryModInt(): residue(0) { }
	MontgomeryModInt(signed sig): residue(multR(sig)) { }
	MontgomeryModInt(signed long long sig): residue(multR((signed)(sig % Mod))) { }

	static unsigned multR(signed sig) {
		signed sigt = (signed long long)sig * R % Mod;
		if(sigt < 0) sigt += Mod;
		return (unsigned)sigt;
	}

	int get() const { return (int)reduce(residue); }

	static unsigned reduce(unsigned T) {
		unsigned m = T * (unsigned)InvNegMod;
		unsigned t = (unsigned)((T + (unsigned long long)m * Mod) >> W);
		if(t >= Mod) t -= Mod;
		return t;
	}
	static unsigned reduce(unsigned long long T) {
		unsigned m = (unsigned)T * (unsigned)InvNegMod;
		unsigned t = (unsigned)((T + (unsigned long long)m * Mod) >> W);
		if(t >= Mod) t -= Mod;
		return t;
	}

	MontgomeryModInt &operator+=(MontgomeryModInt that) {
		if((residue += that.residue) >= Mod) residue -= Mod;
		return *this;
	}
	MontgomeryModInt &operator-=(MontgomeryModInt that) {
		if((residue += Mod - that.residue) >= Mod) residue -= Mod;
		return *this;
	}
	MontgomeryModInt &operator*=(MontgomeryModInt that) {
		residue = reduce((unsigned long long)residue * that.residue);
		return *this;
	}
	MontgomeryModInt &operator/=(MontgomeryModInt that) {
		return *this *= that.inverse();
	}

	MontgomeryModInt operator+(MontgomeryModInt that) const { return MontgomeryModInt(*this) += that; }
	MontgomeryModInt operator-(MontgomeryModInt that) const { return MontgomeryModInt(*this) -= that; }
	MontgomeryModInt operator*(MontgomeryModInt that) const {
		MontgomeryModInt res;
		res.residue = reduce((unsigned long long)residue * that.residue);
		return res;
	}
	MontgomeryModInt operator/(MontgomeryModInt that) const { return MontgomeryModInt(*this) /= that; }

	MontgomeryModInt inverse() const {
		//a^{-1} R = (a R)^{-1} * R^2
		static const int SquaredR = (unsigned long long)R * R % Mod;
		signed a = residue, b = Mod, u = 1, v = 0;
		while(b) {
			signed t = a / b;
			a -= t * b; std::swap(a, b);
			u -= t * v; std::swap(u, v);
		}
		if(u < 0) u += Mod;
		MontgomeryModInt res;
		res.residue = (unsigned long long)(unsigned)u * SquaredR % Mod;
		return res;
	}
};
typedef MontgomeryModInt fft_mint;
const int OmegaMax = 23;
fft_mint OmegaPrim = 31;
fft_mint Omega[OmegaMax+1];

void fft_init() {
	if(Omega[OmegaMax].get() != 0) return;
	fft_mint x = OmegaPrim;
	for(int i = OmegaMax; i >= 0; i --) {
		Omega[i] = x;
		x *= x;
	}
}
//aを破壊する
void fft_main(int logn, const bool inv, fft_mint a[]) {
	fft_init();
	int n = 1 << logn;
	fft_mint ww = Omega[logn];
	if(inv) ww = ww.inverse();
	for(int m = n, mi = 0; m >= 2; m >>= 1, mi ++) {
		int mh = m >> 1;
		fft_mint w = 1;
		rep(i, mh) {
			for(int j = i; j < n; j += m) {
				int k = j + mh;
				fft_mint x = a[j] - a[k];
				a[j] += a[k];
				a[k] = w * x;
			}
			w *= ww;
		}
		ww *= ww;
	}
	int i = 0;
	reu(j, 1, n-1) {
		for(int k = n >> 1; k > (i ^= k); k >>= 1) ;
		if(j < i) swap(a[i], a[j]);
	}
}

void fft(int logn, fft_mint a[]) { fft_main(logn, false, a); }
void inverse_fft(int logn, fft_mint a[]) {
	fft_main(logn, true, a);
	int n = 1 << logn;
	fft_mint invn = fft_mint(n).inverse();
	rep(i, n) a[i] *= invn;
}

//v, wを破壊し、vに結果を返す
//v, wのサイズは 2^logn, lognはceil(log_2(size(v) + size(w)))必要
void convolution(fft_mint v[], fft_mint w[], int logn) {
	fft(logn, v); fft(logn, w);
	rep(i, 1<<logn) v[i] *= w[i];
	inverse_fft(logn, v);
}

int main() {
	int L, M, N;
	scanf("%d%d%d", &L, &M, &N);
	int log2n = 0;
	while((1 << log2n) < (N + N)) ++ log2n;
	vector<fft_mint> v(1 << log2n), w(1 << log2n);
	rep(i, L) {
		int a;
		scanf("%d", &a), -- a;
		v[N-1-a] = 1;
	}
	rep(i, M) {
		int b;
		scanf("%d", &b), -- b;
		w[b] = 1;
	}
	convolution(&v[0], &w[0], log2n);
	int Q;
	scanf("%d", &Q);
	rep(i, Q) {
		int ans = v[N-1-i].get();
		printf("%d\n", ans);
	}
	return 0;
}
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