QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#40497#1423. BinCrysflyAC ✓1955ms35496kbC++114.6kb2022-07-22 11:45:412022-07-22 11:45:42

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2022-07-22 11:45:42]
  • 评测
  • 测评结果:AC
  • 用时:1955ms
  • 内存:35496kb
  • [2022-07-22 11:45:41]
  • 提交

answer

#include<bits/stdc++.h>
#define For(i,a,b) for(register int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(register int i=(a);i>=(b);--i)
//#define int long long
using namespace std;
inline int read()
{
    char c=getchar();int x=0;bool f=0;
    for(;!isdigit(c);c=getchar())f^=!(c^45);
    for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
    if(f)x=-x;return x;
}

#define mod 998244353
struct modint{
	int x;
	modint(int o=0){x=o;}
	modint &operator = (int o){return x=o,*this;}
	modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
	modint &operator -=(modint o){return x=x-o.x<0?x-o.x+mod:x-o.x,*this;}
	modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
	modint &operator ^=(int b){
		modint a=*this,c=1;
		for(;b;b>>=1,a*=a)if(b&1)c*=a;
		return x=c.x,*this;
	}
	modint &operator /=(modint o){return *this *=o^=mod-2;}
	friend modint operator +(modint a,modint b){return a+=b;}
	friend modint operator -(modint a,modint b){return a-=b;}
	friend modint operator *(modint a,modint b){return a*=b;}
	friend modint operator /(modint a,modint b){return a/=b;}
	friend modint operator ^(modint a,int b){return a^=b;}
	friend bool operator ==(modint a,int b){return a.x==b;}
	friend bool operator !=(modint a,int b){return a.x!=b;}
	bool operator ! () {return !x;}
	modint operator - () {return x?mod-x:0;}
	bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}

vector<modint> fac,ifac,iv;
inline void initC(int n)
{
	if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
	int m=iv.size(); ++n;
	if(m>=n)return;
	iv.resize(n),fac.resize(n),ifac.resize(n);
	For(i,m,n-1){
		iv[i]=iv[mod%i]*(mod-mod/i);
		fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
	}
}
inline modint C(int n,int m){
	if(m<0||n<m)return 0;
	return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}

#define poly vector<modint>
const modint G=3,Ginv=modint(1)/3;
inline poly one(){poly a;a.push_back(1);return a;}
vector<int>rev;
vector<modint>rts;
inline int ext(int n){
	int k=0;
	while((1<<k)<n)++k;return k; 
}
inline void init(int k){
	int n=1<<k;
	if(rev.size()==n)return;
	rev.resize(n);
	For(i,0,n-1)rev[i]=(rev[i>>1]>>1)|((i&1)<<(k-1));
	if(rts.size()>=n)return;
	int lst=max(1,(int)rts.size()); rts.resize(n);
	for(int mid=lst;mid<n;mid<<=1){
		modint wn=G^((mod-1)/(mid<<1));
		rts[mid]=1;
		For(i,1,mid-1)rts[i+mid]=rts[i+mid-1]*wn;
	}
}
void ntt(poly&a,int k,int typ)
{
	int n=1<<k;
	if(typ<0) reverse(a.begin()+1,a.end());
	For(i,0,n-1)if(i<rev[i])swap(a[i],a[rev[i]]); 
	for(int mid=1;mid<n;mid<<=1)
		for(int r=mid<<1,j=0;j<n;j+=r)
			for(int k=0;k<mid;++k){
				modint x=a[j+k],y=rts[mid+k]*a[j+k+mid];
				a[j+k]=x+y,a[j+k+mid]=x-y;
			}
	if(typ<0){
		modint inv=modint(1)/n;
		For(i,0,n-1)a[i]*=inv;
	}
}
 
poly operator +(poly a,poly b){
	int n=max(a.size(),b.size());a.resize(n),b.resize(n);
	For(i,0,n-1)a[i]+=b[i];return a;
}
poly operator -(poly a,poly b){
	int n=max(a.size(),b.size());a.resize(n),b.resize(n);
	For(i,0,n-1)a[i]-=b[i];return a;
}
poly operator *(poly a,modint b){
	int n=a.size();
	For(i,0,n-1)a[i]*=b;return a;
} 
poly operator *(poly a,poly b)
{
	if((int)a.size()<=64 && (int)b.size()<=64){
		poly c(a.size()+b.size()-1,0);
		for(int i=0;i<a.size();++i)
			for(int j=0;j<b.size();++j)
				c[i+j]+=a[i]*b[j];
		return c; 
	}
	int n=(int)a.size()+(int)b.size()-1,k=ext(n);
	a.resize(1<<k),b.resize(1<<k),init(k);
	ntt(a,k,1),ntt(b,k,1);
	For(i,0,(1<<k)-1)a[i]*=b[i];
	ntt(a,k,-1),a.resize(n);return a;
}

#define fi first
#define se second
#define mkp make_pair
#define pb push_back
typedef pair<int,int>pii;
typedef vector<int>vi;

#define maxn 2000005
#define inf 0x3f3f3f3f

int n,k;
modint f[maxn],inv2=(mod+1)/2;

void solve(int l,int r)
{
	if(l==r)return;
	int mid=l+r>>1;
	solve(l,mid);
	if(l==1){
		poly a;
		a.resize(mid+1);
		For(i,1,mid)a[i]=f[i];
		a=a*a;
		For(i,1,mid)a[i*2]+=f[i]*f[i];
		For(i,mid+1,r)f[i]+=a[i]*inv2;
		For(i,1,mid)
			For(j,i+1,min(i+k,mid))
				if(i+j>mid && i+j<=r)
					f[i+j]+=f[i]*f[j];
	}else{
		poly a,b;
		a.resize(mid-l+1),b.resize(r-l+1);
		For(i,l,mid)a[i-l]=f[i];
		For(i,0,r-l)b[i]=f[i];
		a=a*b;
		For(i,mid+1,r)f[i]+=a[i-l];
		Rep(i,r-l,max(1,l-k))
			For(j,l,min(mid,i+k))
				if(i+j>mid && i+j<=r) 
					f[i+j]+=f[i]*f[j];
	}
	solve(mid+1,r);
}

signed main()
{
	n=read(),k=read();
	f[1]=1,solve(1,n);
	cout<<f[n].x;
	return 0;
}

/*
j<=i          f[i+j]+=f[i]*f[j]
i<j<=i+k      f[i+j]+=f[i]*f[j]

f[1]=1;
For(i,1,n){
	For(j,1,min(i-1,(i+k)/2))
		f[i]+=f[j]*f[i-j];
}
*/

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 11436kb

input:

2 0

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 5ms
memory: 11544kb

input:

3 0

output:

1

result:

ok 1 number(s): "1"

Test #3:

score: 0
Accepted
time: 2ms
memory: 11500kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #4:

score: 0
Accepted
time: 1ms
memory: 11364kb

input:

4 0

output:

2

result:

ok 1 number(s): "2"

Test #5:

score: 0
Accepted
time: 4ms
memory: 11368kb

input:

4 1

output:

3

result:

ok 1 number(s): "3"

Test #6:

score: 0
Accepted
time: 2ms
memory: 11388kb

input:

4 2

output:

5

result:

ok 1 number(s): "5"

Test #7:

score: 0
Accepted
time: 0ms
memory: 11504kb

input:

6 2

output:

23

result:

ok 1 number(s): "23"

Test #8:

score: 0
Accepted
time: 4ms
memory: 11436kb

input:

7 42

output:

132

result:

ok 1 number(s): "132"

Test #9:

score: 0
Accepted
time: 2ms
memory: 11440kb

input:

10 1

output:

400

result:

ok 1 number(s): "400"

Test #10:

score: 0
Accepted
time: 4ms
memory: 11508kb

input:

13 4

output:

42003

result:

ok 1 number(s): "42003"

Test #11:

score: 0
Accepted
time: 5ms
memory: 11376kb

input:

239 17

output:

385818773

result:

ok 1 number(s): "385818773"

Test #12:

score: 0
Accepted
time: 75ms
memory: 12352kb

input:

50216 58

output:

744498776

result:

ok 1 number(s): "744498776"

Test #13:

score: 0
Accepted
time: 1822ms
memory: 34064kb

input:

787788 78

output:

394429402

result:

ok 1 number(s): "394429402"

Test #14:

score: 0
Accepted
time: 2ms
memory: 11460kb

input:

5 92

output:

14

result:

ok 1 number(s): "14"

Test #15:

score: 0
Accepted
time: 2ms
memory: 11460kb

input:

88 79

output:

931161641

result:

ok 1 number(s): "931161641"

Test #16:

score: 0
Accepted
time: 0ms
memory: 11484kb

input:

749 77

output:

615055472

result:

ok 1 number(s): "615055472"

Test #17:

score: 0
Accepted
time: 2ms
memory: 11416kb

input:

2281 89

output:

282226588

result:

ok 1 number(s): "282226588"

Test #18:

score: 0
Accepted
time: 10ms
memory: 11688kb

input:

5765 35

output:

293680396

result:

ok 1 number(s): "293680396"

Test #19:

score: 0
Accepted
time: 36ms
memory: 12312kb

input:

43189 12

output:

805295564

result:

ok 1 number(s): "805295564"

Test #20:

score: 0
Accepted
time: 1754ms
memory: 34228kb

input:

806855 5

output:

593114139

result:

ok 1 number(s): "593114139"

Test #21:

score: 0
Accepted
time: 1873ms
memory: 35496kb

input:

994514 45

output:

678426421

result:

ok 1 number(s): "678426421"

Test #22:

score: 0
Accepted
time: 1883ms
memory: 35408kb

input:

999921 62

output:

752162081

result:

ok 1 number(s): "752162081"

Test #23:

score: 0
Accepted
time: 1918ms
memory: 35284kb

input:

995033 94

output:

130314865

result:

ok 1 number(s): "130314865"

Test #24:

score: 0
Accepted
time: 1874ms
memory: 34788kb

input:

901438 97

output:

809128292

result:

ok 1 number(s): "809128292"

Test #25:

score: 0
Accepted
time: 1810ms
memory: 35368kb

input:

993020 0

output:

926771801

result:

ok 1 number(s): "926771801"

Test #26:

score: 0
Accepted
time: 1955ms
memory: 35200kb

input:

1000000 100

output:

470305140

result:

ok 1 number(s): "470305140"