提交记录 16886


用户 题目 状态 得分 用时 内存 语言 代码长度
Saisyc 1002i. 【模板题】多项式乘法 Accepted 100 38.033 ms 10416 KB C++ 3.25 KB
提交时间 评测时间
2021-10-26 16:55:23 2021-10-26 16:55:26
#include <cstdio>
#include <cctype>
#include <algorithm>
#include <cmath>

namespace fastIO {
    const int SZ = 1 << 25;
    char ibuf[SZ], *p0 = ibuf, *p1 = ibuf;
    inline char getchar(void) { return p0 == p1 && (p1 = (p0 = ibuf) + fread(ibuf, 1, SZ, stdin), p0 == p1) ? EOF : *p0++; }
    char char_read; void read(auto &val) {
		val = 0; do char_read = getchar(); while(!isdigit(char_read));
		do val = val * 10 + char_read - '0'; while(isdigit(char_read = getchar()));
    }
    char obuf[SZ], *p = obuf;
    inline void putchar(char char_write) { *p++ = char_write; }
    void write(auto val) { if(val >= 10) write(val / 10); putchar(val % 10 + '0'); }
    inline void write(auto a[], int sz) { for(int i = 0; i < sz; ++i) write(a[i]), putchar(' '); putchar('\n'); }
    void output(void) { fwrite(obuf, p - obuf, 1, stdout);}
};

const int N = 1 << 21;
const int p = (13 << 23) - 1;

int pow_modp(int a, int b) { int x = 1; for(; b; a = (long long)a * a % p, b >>= 1) if(b & 1) x = (long long)x * a % p; return x; }
struct CMPLX {
	int real, imag;
	CMPLX operator + (const CMPLX z) const { return { real + z.real < 0 ? real + z.real + p : real + z.real - p, imag + z.imag < 0 ? imag + z.imag + p : imag + z.imag - p }; }
	CMPLX operator - (const CMPLX z) const { return { real - z.real < 0 ? real - z.real + p : real - z.real - p, imag - z.imag < 0 ? imag - z.imag + p : imag - z.imag - p }; }
	CMPLX operator * (const CMPLX z) const { return { ((long long)real * z.real - (long long)imag * z.imag) % p, ((long long)real * z.imag + (long long)imag * z.real) % p }; }
	void operator *= (const CMPLX z) {
		auto t = ((long long)real * z.real - (long long)imag * z.imag) % p;
		imag = ((long long)real * z.imag + (long long)imag * z.real) % p; real = t;
		return;
	}
};
CMPLX pow_modp(CMPLX a, int b) { CMPLX x = {1, 0}; for(; b; a = a * a, b >>= 1) if(b & 1) x = x * a; return x; }
#define w(n) pow_modp({20747, +2402}, (p + 1) / n)
#define v(n) pow_modp({20747, -2402}, (p + 1) / n)

CMPLX fft_sup[N];
void fft(auto a[], int n, CMPLX w) {
	auto fft_a = fft_sup; for(int i = 1; i < n; i <<= 1, w *= w, std :: swap(a, fft_a)) {
		auto _w = (CMPLX){1, 0}; for(auto k0 = fft_a, j0 = a, j1 = a + (n >> 1); k0 != fft_a + n; k0 += i, _w *= w)
			for(auto k1 = k0 + i, _k0 = k1; k0 != _k0; ++j0, ++j1, ++k0, ++k1)
				*k0 = *j0 + *j1,
				k1->real = ((long long)(j0->real - j1->real) * _w.real - (long long)(j0->imag - j1->imag) * _w.imag) % p,
				k1->imag = ((long long)(j0->real - j1->real) * _w.imag + (long long)(j0->imag - j1->imag) * _w.real) % p;
	}
	if(fft_a != fft_sup) std :: copy(a, a + n, fft_a);
}
void poly_mul(auto a[], auto b[], int n) {
	fft(a, n, w(n)), fft(b, n, w(n)); for(int i = 0; i < n; ++i) a[i] = a[i] * b[i]; fft(a, n, v(n));
	int inv_n = pow_modp(n, p - 2); for(int i = 0; i < n; ++i) a[i].real = (long long)a[i].real * inv_n % p;
}

int n, n_a, n_b;
CMPLX a[N], b[N];
int ans[N];

int main(void) {
	fastIO :: read(n_a), fastIO :: read(n_b); ++n_a, ++n_b; for(n = 1; n < n_a + n_b; n <<= 1);
	for(int i = 0, t; i < n_a; ++i) fastIO :: read(t), a[i].real = t;
	for(int i = 0, t; i < n_b; ++i) fastIO :: read(t), b[i].real = t;
	poly_mul(a, b, n); n = n_a + n_b - 1;
	for(int i = 0; i < n; ++i) ans[i] = a[i].real < 0 ? a[i].real + p : a[i].real;
	fastIO :: write(ans, n), fastIO :: output();
	return 0;
}

CompilationN/AN/ACompile OKScore: N/A

Subtask #1 Testcase #18.47 us36 KBAcceptedScore: 0

Subtask #1 Testcase #237.742 ms10 MB + 12 KBAcceptedScore: 100

Subtask #1 Testcase #316.918 ms4 MB + 156 KBAcceptedScore: 0

Subtask #1 Testcase #416.968 ms4 MB + 136 KBAcceptedScore: 0

Subtask #1 Testcase #58.84 us36 KBAcceptedScore: 0

Subtask #1 Testcase #68.96 us36 KBAcceptedScore: 0

Subtask #1 Testcase #78.28 us36 KBAcceptedScore: 0

Subtask #1 Testcase #836.893 ms9 MB + 300 KBAcceptedScore: 0

Subtask #1 Testcase #936.936 ms9 MB + 300 KBAcceptedScore: 0

Subtask #1 Testcase #1036.045 ms8 MB + 588 KBAcceptedScore: 0

Subtask #1 Testcase #1138.033 ms10 MB + 176 KBAcceptedScore: 0

Subtask #1 Testcase #1234.766 ms7 MB + 956 KBAcceptedScore: 0

Subtask #1 Testcase #139.05 us36 KBAcceptedScore: 0


Judge Duck Online | 评测鸭在线
Server Time: 2026-03-18 11:51:52 | Loaded in 1 ms | Server Status
个人娱乐项目,仅供学习交流使用 | 捐赠