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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#146515#6323. Range NEQPhantomThreshold#AC ✓208ms65032kbC++202.0kb2023-08-22 16:08:532023-08-22 16:08:56

Judging History

你现在查看的是最新测评结果

  • [2023-08-22 16:08:56]
  • 评测
  • 测评结果:AC
  • 用时:208ms
  • 内存:65032kb
  • [2023-08-22 16:08:53]
  • 提交

answer

#include<bits/stdc++.h>
#define ll long long
#define int long long
using namespace std;

const int maxn = 1048576<<1;
const int mod = 998244353;
const int g   = 3;
inline void add(int &a,const int &b){ a+=b;if(a>=mod)a-=mod; }
inline void sub(int &a,const int &b){ a-=b;if(a<0)a+=mod; }

int pw(int x,int k)
{
	int re=1;
	for(;k;k>>=1,x=(ll)x*x%mod) if(k&1)
		re=(ll)re*x%mod;
	return re;
}
int inv(int x){ return pw(x,mod-2); }

int id[maxn],wi[maxn];
void DFT(int f[],const int N,const int sig)
{
	for(int i=1;i<N;i++) if(i<id[i]) swap(f[i],f[id[i]]);
	
	for(int m=2;m<=N;m<<=1)
	{
		int t=m>>1,tt=N/m;
		for(int i=0;i<t;i++)
		{
			int wn= sig==1?wi[i*tt]:wi[N-i*tt];
			for(int j=i;j<N;j+=m)
			{
				int tx= f[j],ty=(ll)f[j+t]*wn%mod;
				f[j]=(tx+ty)%mod;
				f[j+t]=(tx-ty+mod)%mod;
			}
		}
	}
	if(sig==-1)
	{
		int iN=inv(N);
		for(int i=0;i<N;i++) f[i]=(ll)f[i]*iN%mod;
	}
}

int fac[maxn],ifac[maxn];
void pre()
{
	fac[0]=1; for(int i=1;i<maxn;i++) fac[i]=(ll)fac[i-1]*i%mod;
	ifac[maxn-1]=inv(fac[maxn-1]);
	for(int i=maxn-2;i>=0;i--) ifac[i]=(ll)ifac[i+1]*(i+1)%mod;
}
int C(int i,int j)
{
	if(i<j||i<0||j<0) return 0;
	return (ll)fac[i]*ifac[j]%mod*ifac[i-j]%mod;
}

int f[maxn];
int n,m,nm;

signed main()
{
	ios_base::sync_with_stdio(false);
	//freopen("tmp.in","r",stdin);
	
	pre();
	
	cin>>n>>m; nm=n*m;
	for(int i=0;i<=m;i++)
	{
		int cc=(ll)fac[m]*ifac[m-i]%mod*(ll)C(m,i)%mod;
		if(i%2==0) add(f[i],cc);
		else sub(f[i],cc);
	}
	
	int N=1,ln=0;
	while(N<=nm) N<<=1,ln++;
	
	for(int i=1;i<N;i++) id[i]=id[i>>1]>>1|(i&1)<<(ln-1);
	wi[0]=1; wi[1]=pw(g,(mod-1)/N);
	for(int i=2;i<=N;i++) wi[i]=(ll)wi[i-1]*wi[1]%mod;
	DFT(f,N,1);
	
	for(int i=0;i<N;i++) f[i]=pw(f[i],n);
	DFT(f,N,-1);
	
	int ans=0;
	for(int i=0;i<=nm;i++)
	{
	//	if(i%2==0) cerr<<i<<" : "<<f[i]<<endl;
	//	else cerr<<i<<" : "<<(mod-f[i])%mod<<endl;
		add(ans,(ll)f[i]*fac[nm-i]%mod);
	}
	cout<<ans<<endl;
	
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 18ms
memory: 38508kb

input:

2 2

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 13ms
memory: 38484kb

input:

5 1

output:

44

result:

ok 1 number(s): "44"

Test #3:

score: 0
Accepted
time: 24ms
memory: 38700kb

input:

167 91

output:

284830080

result:

ok 1 number(s): "284830080"

Test #4:

score: 0
Accepted
time: 18ms
memory: 38552kb

input:

2 1

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 20ms
memory: 38504kb

input:

2 3

output:

36

result:

ok 1 number(s): "36"

Test #6:

score: 0
Accepted
time: 23ms
memory: 38492kb

input:

2 4

output:

576

result:

ok 1 number(s): "576"

Test #7:

score: 0
Accepted
time: 22ms
memory: 38488kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 11ms
memory: 38432kb

input:

3 2

output:

80

result:

ok 1 number(s): "80"

Test #9:

score: 0
Accepted
time: 9ms
memory: 38496kb

input:

3 3

output:

12096

result:

ok 1 number(s): "12096"

Test #10:

score: 0
Accepted
time: 19ms
memory: 38548kb

input:

3 4

output:

4783104

result:

ok 1 number(s): "4783104"

Test #11:

score: 0
Accepted
time: 19ms
memory: 38424kb

input:

4 1

output:

9

result:

ok 1 number(s): "9"

Test #12:

score: 0
Accepted
time: 19ms
memory: 38492kb

input:

4 2

output:

4752

result:

ok 1 number(s): "4752"

Test #13:

score: 0
Accepted
time: 23ms
memory: 38496kb

input:

4 3

output:

17927568

result:

ok 1 number(s): "17927568"

Test #14:

score: 0
Accepted
time: 23ms
memory: 38428kb

input:

4 4

output:

776703752

result:

ok 1 number(s): "776703752"

Test #15:

score: 0
Accepted
time: 11ms
memory: 38548kb

input:

5 2

output:

440192

result:

ok 1 number(s): "440192"

Test #16:

score: 0
Accepted
time: 9ms
memory: 38480kb

input:

5 3

output:

189125068

result:

ok 1 number(s): "189125068"

Test #17:

score: 0
Accepted
time: 23ms
memory: 38484kb

input:

5 4

output:

975434093

result:

ok 1 number(s): "975434093"

Test #18:

score: 0
Accepted
time: 205ms
memory: 64964kb

input:

1000 1000

output:

720037464

result:

ok 1 number(s): "720037464"

Test #19:

score: 0
Accepted
time: 23ms
memory: 38576kb

input:

72 42

output:

638177567

result:

ok 1 number(s): "638177567"

Test #20:

score: 0
Accepted
time: 19ms
memory: 38564kb

input:

15 19

output:

663050288

result:

ok 1 number(s): "663050288"

Test #21:

score: 0
Accepted
time: 24ms
memory: 38676kb

input:

68 89

output:

94365047

result:

ok 1 number(s): "94365047"

Test #22:

score: 0
Accepted
time: 23ms
memory: 38556kb

input:

92 37

output:

652605307

result:

ok 1 number(s): "652605307"

Test #23:

score: 0
Accepted
time: 14ms
memory: 38620kb

input:

61 87

output:

498277867

result:

ok 1 number(s): "498277867"

Test #24:

score: 0
Accepted
time: 19ms
memory: 38568kb

input:

81 40

output:

133095344

result:

ok 1 number(s): "133095344"

Test #25:

score: 0
Accepted
time: 11ms
memory: 38444kb

input:

7 91

output:

524164813

result:

ok 1 number(s): "524164813"

Test #26:

score: 0
Accepted
time: 16ms
memory: 38568kb

input:

31 18

output:

361233485

result:

ok 1 number(s): "361233485"

Test #27:

score: 0
Accepted
time: 6ms
memory: 38620kb

input:

74 54

output:

500686087

result:

ok 1 number(s): "500686087"

Test #28:

score: 0
Accepted
time: 13ms
memory: 38496kb

input:

32 2

output:

586504335

result:

ok 1 number(s): "586504335"

Test #29:

score: 0
Accepted
time: 104ms
memory: 51256kb

input:

656 718

output:

346764298

result:

ok 1 number(s): "346764298"

Test #30:

score: 0
Accepted
time: 55ms
memory: 45100kb

input:

254 689

output:

358078813

result:

ok 1 number(s): "358078813"

Test #31:

score: 0
Accepted
time: 101ms
memory: 51336kb

input:

713 674

output:

914437613

result:

ok 1 number(s): "914437613"

Test #32:

score: 0
Accepted
time: 34ms
memory: 44488kb

input:

136 698

output:

56687290

result:

ok 1 number(s): "56687290"

Test #33:

score: 0
Accepted
time: 51ms
memory: 45376kb

input:

369 401

output:

312325811

result:

ok 1 number(s): "312325811"

Test #34:

score: 0
Accepted
time: 30ms
memory: 39576kb

input:

280 204

output:

280012063

result:

ok 1 number(s): "280012063"

Test #35:

score: 0
Accepted
time: 60ms
memory: 44944kb

input:

904 225

output:

162909174

result:

ok 1 number(s): "162909174"

Test #36:

score: 0
Accepted
time: 202ms
memory: 64488kb

input:

855 928

output:

39885159

result:

ok 1 number(s): "39885159"

Test #37:

score: 0
Accepted
time: 60ms
memory: 44696kb

input:

503 365

output:

745115888

result:

ok 1 number(s): "745115888"

Test #38:

score: 0
Accepted
time: 189ms
memory: 63816kb

input:

646 996

output:

610925577

result:

ok 1 number(s): "610925577"

Test #39:

score: 0
Accepted
time: 198ms
memory: 63536kb

input:

990 918

output:

203469632

result:

ok 1 number(s): "203469632"

Test #40:

score: 0
Accepted
time: 193ms
memory: 63684kb

input:

961 949

output:

169566857

result:

ok 1 number(s): "169566857"

Test #41:

score: 0
Accepted
time: 183ms
memory: 64092kb

input:

946 932

output:

352423195

result:

ok 1 number(s): "352423195"

Test #42:

score: 0
Accepted
time: 198ms
memory: 65032kb

input:

903 981

output:

196309824

result:

ok 1 number(s): "196309824"

Test #43:

score: 0
Accepted
time: 202ms
memory: 63072kb

input:

916 988

output:

487208972

result:

ok 1 number(s): "487208972"

Test #44:

score: 0
Accepted
time: 205ms
memory: 63588kb

input:

982 982

output:

387421488

result:

ok 1 number(s): "387421488"

Test #45:

score: 0
Accepted
time: 205ms
memory: 63192kb

input:

955 911

output:

955637031

result:

ok 1 number(s): "955637031"

Test #46:

score: 0
Accepted
time: 198ms
memory: 63216kb

input:

906 999

output:

798469943

result:

ok 1 number(s): "798469943"

Test #47:

score: 0
Accepted
time: 208ms
memory: 63556kb

input:

982 975

output:

193506289

result:

ok 1 number(s): "193506289"

Test #48:

score: 0
Accepted
time: 192ms
memory: 63884kb

input:

921 991

output:

431202149

result:

ok 1 number(s): "431202149"