提交记录 8587


用户 题目 状态 得分 用时 内存 语言 代码长度
Smokey_Days 1002i. 【模板题】多项式乘法 Accepted 100 76.315 ms 100908 KB C++ 1.38 KB
提交时间 评测时间
2019-02-26 21:18:15 2020-08-01 01:22:13
#include<iostream>
#include<cstdio>
#include<cmath>
#define PI 3.141592653589793238462

struct Complex{
	double r;
	double i;
	Complex(double ri=0.0,double ii=0.0):r(ri),i(ii){}
	inline Complex operator+(const Complex &B)const{
		return (Complex){r+B.r,i+B.i}; 
	}
	inline Complex operator-(const Complex &B)const{
		return (Complex){r-B.r,i-B.i};
	}
	inline Complex operator*(const Complex &B)const{
		return (Complex){r*B.r-i*B.i,r*B.i+i*B.r};
	}
}a[1<<21|1],b[1<<21|1],s[1<<21|1];
int r[1<<21|1];
inline void FFT(Complex *A,int N,int typ){
	//ButterflyTransform
	for(int i=0;i<N;++i){
		(r[i]>i)?std::swap(A[i],A[r[i]]),0:0;
	}
	Complex bs,nw,x,y;
	for(int i=2,mid;i<=N;i<<=1){
		bs=Complex(cos(2.0*PI/i),typ*sin(2.0*PI/i));
		mid=i>>1;
		for(int j=0;j<N;j+=i){
			nw=Complex(1.0,0.0);
			for(int k=0;k<mid;++k,nw=nw*bs){
				x=A[j+k],y=(A[mid+j+k]*nw);
				A[j+k]=x+y;
				A[mid+j+k]=x-y;
			}
		}
	}
}
int n,m,cnt=1,byt=0;;
void init(){
	scanf("%d%d",&n,&m);
	for(int i=0;i<=n;++i){
		scanf("%lf",&a[i].r);
	}
	for(int i=0;i<=m;++i){
		scanf("%lf",&b[i].r);
	}
	while(cnt<=n+m){
		cnt<<=1;
		++byt;
	}
	for(int i=0;i<cnt;++i){
		r[i]=(r[i>>1]>>1)|((i&1)<<(byt-1));
	}
	FFT(a,cnt,1);
	FFT(b,cnt,1);
	for(int i=0;i<cnt;++i){
		a[i]=a[i]*b[i];
	}
	FFT(a,cnt,-1);
	//注意这里typ应该是-1 
	for(int i=0;i<=n+m;++i){
		printf("%d ",(int)(a[i].r/cnt+0.5));
		//注意输出应该强转格式。 
	}
	puts("");
}

int main(){
	init();
	return 0; 
}

CompilationN/AN/ACompile OKScore: N/A

Subtask #1 Testcase #110.759 ms96 MB + 48 KBAcceptedScore: 0

Subtask #1 Testcase #276.219 ms98 MB + 476 KBAcceptedScore: 100

Subtask #1 Testcase #341.118 ms96 MB + 840 KBAcceptedScore: 0

Subtask #1 Testcase #440.534 ms96 MB + 828 KBAcceptedScore: 0

Subtask #1 Testcase #511.157 ms96 MB + 48 KBAcceptedScore: 0

Subtask #1 Testcase #611.329 ms96 MB + 48 KBAcceptedScore: 0

Subtask #1 Testcase #711.325 ms96 MB + 48 KBAcceptedScore: 0

Subtask #1 Testcase #869.868 ms98 MB + 208 KBAcceptedScore: 0

Subtask #1 Testcase #969.704 ms98 MB + 208 KBAcceptedScore: 0

Subtask #1 Testcase #1063.627 ms97 MB + 964 KBAcceptedScore: 0

Subtask #1 Testcase #1176.315 ms98 MB + 556 KBAcceptedScore: 0

Subtask #1 Testcase #1276.166 ms97 MB + 436 KBAcceptedScore: 0

Subtask #1 Testcase #1310.758 ms96 MB + 48 KBAcceptedScore: 0


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