高精度

发布时间 2023-11-09 17:21:49作者: 夏一锐
#include<bits/stdc++.h>
#define N 20005
#define M 40005
#define ll long long
#define a hz.w
#define b kz.w
#define c kzkz.w
#define d kzzf.w
#define hp hz.p
#define kp kz.p
#define cp kzkz.p
#define dp kzzf.p
#define P 998244353
#define inv(x) ksm(x,P-2)
#define zero(x) (x.w[0]==1 && x.w[1]==0)
using namespace std;
char orz[N];
int rev[M],G[2][25],e[M],f[M],ksm(int x,int y);
void NTT(int*g,int t,int s);
struct BigNumber{
	int w[N];bool p=1;
	void set0(){w[0]=1,w[1]=0,p=1;}
	void set1(){w[0]=1,w[1]=1,p=1;}
	void read(){
		scanf("%s",orz);
		w[0]=strlen(orz);
		if(orz[0]=='-'){
			p=0;w[0]--;
			for(int i=1;i<=w[0];i++)w[w[0]-i+1]=orz[i]-'0';
		}
		else{
			p=1;
			for(int i=0;i<w[0];i++)w[w[0]-i]=orz[i]-'0';
		}
	}
}s,t;
BigNumber kz,kzkz,kzzf;
void write(BigNumber kz){
	if(!kz.p)putchar('-');
	for(int i=b[0];i>=1;i--)putchar(b[i]+'0');
	putchar('\n');
}
bool operator>(BigNumber hz,BigNumber kz);
bool operator<(BigNumber hz,BigNumber kz){
	if(hp!=kp)return kp;
	if(!hp){
		hp=kp=1;
		return hz>kz;
	}
	if(a[0]!=b[0])return a[0]<b[0];
	for(int i=a[0];i>=1;i--)
		if(a[i]!=b[i])
			return a[i]<b[i];
	return 0;
}
bool operator>=(BigNumber hz,BigNumber kz);
bool operator<=(BigNumber hz,BigNumber kz){
	if(hp!=kp)return kp;
	if(!hp){
		hp=kp=1;
		return hz>=kz;
	}
	if(a[0]!=b[0])return a[0]<b[0];
	for(int i=a[0];i>=1;i--)
		if(a[i]!=b[i])
			return a[i]<b[i];
	return 1;
}
bool operator>(BigNumber hz,BigNumber kz){
	if(hp!=kp)return hp;
	if(!hp){
		hp=kp=1;
		return hz<kz;
	}
	if(a[0]!=b[0])return a[0]>b[0];
	for(int i=a[0];i>=1;i--)
		if(a[i]!=b[i])
			return a[i]>b[i];
	return 0;
}
bool operator>=(BigNumber hz,BigNumber kz){
	if(hp!=kp)return hp;
	if(!hp){
		hp=kp=1;
		return hz<=kz;
	}
	if(a[0]!=b[0])return a[0]>b[0];
	for(int i=a[0];i>=1;i--)
		if(a[i]!=b[i])
			return a[i]>b[i];
	return 1;
}
bool operator==(BigNumber hz,BigNumber kz){
	if(hp!=kp)return 0;
	if(a[0]!=b[0])return 0;
	for(int i=a[0];i>=1;i--)
		if(a[i]!=b[i])
			return 0;
	return 1;
}
bool operator!=(BigNumber hz,BigNumber kz){
	if(hp!=kp)return 1;
	if(a[0]!=b[0])return 1;
	for(int i=a[0];i>=1;i--)
		if(a[i]!=b[i])
			return 1;
	return 0;
}
BigNumber operator-(BigNumber hz,BigNumber kz);
BigNumber operator+(BigNumber hz,BigNumber kz){
	if(zero(hz))return kz;
	if(zero(kz))return hz;
	if(hp!=kp){
		if(!kp)return kp=!kp,hz-kz;
		return hp=!hp,kz-hz;
	}
	int ws=max(a[0],b[0]),jw=0;
	for(int i=1;i<=ws;i++){
		if(a[0]<i)a[i]=0;
		if(b[0]<i)b[i]=0;
		b[i]=b[i]+a[i]+jw;
		jw=b[i]/10;
		b[i]%=10;
	}
	while(jw){
		ws++;
		b[ws]=jw%10;
		jw/=10;
	}
	b[0]=ws;
	if(zero(kz))kp=1;
	return kz;
}
BigNumber operator-(BigNumber hz,BigNumber kz){
	if(zero(kz))return hz;
	if(zero(hz)){
		kp=!kp;
		return kz;
	}
	if(!hp&&kp){
		kp=!kp;
		return hz+kz;
	}
	if(hp&&!kp){
		kp=!kp;
		return hz+kz;
	}
	if(!hp&&!kp){
		hp=!hp,kp=!kp;
		swap(hz,kz);
	}
	bool gk=1;
	if(hz<kz){
		gk=0;
		swap(hz,kz);
	}
	int ws=max(a[0],b[0]);
	for(int i=1;i<=ws;i++){
		if(i>b[0])b[i]=a[i];
		else b[i]=a[i]-b[i];
		if(b[i]<0){
			b[i]+=10;
			a[i+1]--;
		}
	}
	while(!b[ws]&&ws>1)ws--;
	b[0]=ws;
	if(!gk)kp=!kp;
	if(zero(kz))kp=1;
	return kz;
}
BigNumber operator*(BigNumber hz,BigNumber kz){
	if(zero(hz)||zero(kz)){
		hz.set0();
		return hz;
	}
	hp=!(hp^kp);
	int la=a[0],lb=b[0],s=1,l=0;
	while(s<la+lb)s<<=1,l++;
	rev[0]=0;
	for (int i=1;i<s;i++)
		rev[i]=(rev[i>>1]>>1)|((i&1)<<(l-1));
	e[0]=f[0]=0;
	for(int i=1;i<=la;i++)e[i-1]=a[i];
	for(int i=1;i<=lb;i++)f[i-1]=b[i];
	for(int i=la;i<s;i++)e[i]=0;
	for(int i=lb;i<s;i++)f[i]=0;
	NTT(e,0,s),NTT(f,0,s);
	for (int i=0;i<s;i++)e[i]=(ll)e[i]*f[i]%P;
	NTT(e,1,s);
	int invs=inv(s);
	for(int i=s;i>=1;i--)e[i]=(ll)e[i-1]*invs%P;
	e[0]=0;
	for(int i=1;i<=la+lb;i++){
		e[i+1]+=e[i]/10;
		e[i]%=10;
	}
	a[0]=la+lb;
	while(!e[a[0]]&&a[0]>1)a[0]--;
	for(int i=1;i<=a[0];i++)a[i]=e[i];
	return hz;
}
BigNumber operator/(BigNumber hz,BigNumber kz){
	if(zero(hz)){
		kzkz.set0();
		return kzkz;
	}
	if(hp!=kp)cp=0;
	else cp=1;
	hp=kp=1;
	for(int i=0;i<=a[0];i++)c[i]=d[i]=0;
	d[0]=1;
	for(int i=a[0];i>=1;i--){
		if(d[0]!=1||d[1]){
			for(int i=d[0];i>=1;i--)d[i+1]=d[i];
			d[1]=a[i];d[0]++;
		}
		else d[1]=a[i];
		while(kzzf>=kz)kzzf=kzzf-kz,c[i]++;
	}
	c[0]=a[0];
	while(!c[c[0]]&&c[0]>1)c[0]--;
	if(zero(kzkz))cp=1;
	return kzkz;
}
BigNumber operator%(BigNumber hz,BigNumber kz){
	if(zero(hz)){
		kzzf.set0();
		return kzzf;
	}
	bool gk;
	gk=hp,hp=kp=1;
	for(int i=0;i<=a[0];i++)d[i]=0;
	d[0]=1;
	for (int i=a[0];i>=1;i--){
		if(d[0]!=1||d[1]){
			for(int i=d[0];i>=1;i--)d[i+1]=d[i];
			d[1]=a[i],d[0]++;
		}
		else d[1]=a[i];
		while(kzzf>=kz)kzzf=kzzf-kz;
	}
	dp=gk;
	if(zero(kzzf))dp=1;
	return kzzf;
}
void operator+=(BigNumber&kz,BigNumber hz){kz=kz+hz;}
void operator-=(BigNumber&kz,BigNumber hz){kz=kz-hz;}
void operator*=(BigNumber&kz,BigNumber hz){kz=kz*hz;}
void operator/=(BigNumber&kz,BigNumber hz){kz=kz/hz;}
void operator%=(BigNumber&kz,BigNumber hz){kz=kz%hz;}
BigNumber Number_Turn_BigNumber(ll x){
	if(x==0){
		kz.set0(),kp=1;
		return kz;
	}
	if(x<0){
		kp=0;
		x=-x;
	}else kp=1;
	b[0]=0;
	while(x){
		b[++b[0]]=x%10;
		x/=10;
	}
	return kz;
}
ll BigNumber_Turn_Number(BigNumber kz){
	ll y=0;
	for(int i=b[0];i>=1;i--)y=y*10+b[i];
	if(!kp)y=-y;
	return y;
}
void NTT(int*q,int t,int s){
	for(int i=0;i<s;i++)if(i<rev[i])swap(q[i],q[rev[i]]);
	for(int mid=1,o=1;mid<s;mid<<=1,o++)
		for(int j=0;j<s;j+=(mid<<1)){
			int g=1;
			for(int k=0;k<mid;k++,g=(ll)g*G[t][o]%P){
				int x=q[j+k],y=(ll)g*q[j+k+mid]%P;
				q[j+k]=(x+y)%P;
				q[j+k+mid]=(x-y+P)%P;
			}
		}
}
int ksm(int x,int y){
	int ans=1;
	while(y){
		if(y&1)ans=(ll)ans*x%P;
		x=(ll)x*x%P,y>>=1;
	}
	return ans;
}
void Pre(){
	G[0][23]=ksm(3,(P-1)/(1<<23));
	G[1][23]=inv(G[0][23]);
	for(int i=22;i>=1;i--){
		G[0][i]=(ll)G[0][i+1]*G[0][i+1]%P;
		G[1][i]=(ll)G[1][i+1]*G[1][i+1]%P;
	}
}
#undef a
#undef b
#undef c
#undef d
#undef hp
#undef kp
#undef cp
#undef dp
int main(){
	Pre();
	s.read(),t.read();
	write(s+t);
	write(s-t);
	write(s*t);
	write(s/t);
	write(s%t);
	return 0;
}