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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#97711#6323. Range NEQWolamAC ✓189ms46252kbC++141.4kb2023-04-17 23:10:382023-04-17 23:10:39

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.
  • [2023-04-17 23:10:39]
  • 评测
  • 测评结果:AC
  • 用时:189ms
  • 内存:46252kb
  • [2023-04-17 23:10:38]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define int long long
const int M=998244353;
const int q=3;
const int qq=332748118;
int n,m,f[4000005],tr[4000005];
int qpow(int x,int y)
{
	int ans=1;
	while(y)
	{
		if(y&1)ans=ans*x%M;
		x=x*x%M;
		y>>=1;
	}
	return ans;
}
void ntt(int lim,int *f,int typ)
{
	for(int i=0;i<lim;i++)
		tr[i]=(tr[i>>1]>>1)|((i&1)?(lim>>1):0);
	for(int i=0;i<lim;i++)
		if(i<tr[i])swap(f[i],f[tr[i]]);
	for(int o=2,k=1;o<=lim;k<<=1,o<<=1)
	{
		int wn=qpow(typ?q:qq,(M-1)/o);
		for(int i=0;i<lim;i+=o)
		{
			int w=1;
			for(int j=0;j<k;j++)
			{
				int a=f[i+j],b=f[i+j+k];
				f[i+j]=(a+b*w)%M;
				f[i+j+k]=(a-b*w%M+M)%M;
				w=w*wn%M;
			}
		}
	}
	if(typ)return;
	int inv=qpow(lim,M-2);
	for(int i=0;i<lim;i++)
		f[i]=f[i]*inv%M;
}
int jc[4000005],inv[4000005],jcinv[4000005];
signed main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);cout.tie(0);
	cin>>n>>m;
	jc[0]=jcinv[0]=1;
	inv[1]=1;
	for(int i=2;i<=n*m;i++)
		inv[i]=(M-M/i)*inv[M%i]%M;
	for(int i=1;i<=m*n;i++)
		jc[i]=i*jc[i-1]%M,jcinv[i]=inv[i]*jcinv[i-1]%M;
	for(int i=0;i<=m;i++)
		f[i]=jc[m]*jc[m]%M*jcinv[m-i]%M*jcinv[m-i]%M*jcinv[i]%M;
	int lim=1;
	while(lim<n*m+1)lim<<=1;
	ntt(lim,f,1);
	for(int i=0;i<lim;i++)
		f[i]=qpow(f[i],n);
	ntt(lim,f,0);
	int ans=0;
	for(int i=0,t=1;i<=n*m;i++,t=t*(M-1)%M)
	{
		ans=(ans+t*f[i]%M*jc[n*m-i])%M;
	}
	cout<<ans;
}

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 11732kb

input:

2 2

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 4ms
memory: 11744kb

input:

5 1

output:

44

result:

ok 1 number(s): "44"

Test #3:

score: 0
Accepted
time: 4ms
memory: 11708kb

input:

167 91

output:

284830080

result:

ok 1 number(s): "284830080"

Test #4:

score: 0
Accepted
time: 4ms
memory: 11572kb

input:

2 1

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 4ms
memory: 11496kb

input:

2 3

output:

36

result:

ok 1 number(s): "36"

Test #6:

score: 0
Accepted
time: 2ms
memory: 13688kb

input:

2 4

output:

576

result:

ok 1 number(s): "576"

Test #7:

score: 0
Accepted
time: 2ms
memory: 11524kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 0ms
memory: 11532kb

input:

3 2

output:

80

result:

ok 1 number(s): "80"

Test #9:

score: 0
Accepted
time: 4ms
memory: 11572kb

input:

3 3

output:

12096

result:

ok 1 number(s): "12096"

Test #10:

score: 0
Accepted
time: 2ms
memory: 11536kb

input:

3 4

output:

4783104

result:

ok 1 number(s): "4783104"

Test #11:

score: 0
Accepted
time: 3ms
memory: 11692kb

input:

4 1

output:

9

result:

ok 1 number(s): "9"

Test #12:

score: 0
Accepted
time: 2ms
memory: 11696kb

input:

4 2

output:

4752

result:

ok 1 number(s): "4752"

Test #13:

score: 0
Accepted
time: 0ms
memory: 11556kb

input:

4 3

output:

17927568

result:

ok 1 number(s): "17927568"

Test #14:

score: 0
Accepted
time: 2ms
memory: 11596kb

input:

4 4

output:

776703752

result:

ok 1 number(s): "776703752"

Test #15:

score: 0
Accepted
time: 1ms
memory: 11496kb

input:

5 2

output:

440192

result:

ok 1 number(s): "440192"

Test #16:

score: 0
Accepted
time: 3ms
memory: 11584kb

input:

5 3

output:

189125068

result:

ok 1 number(s): "189125068"

Test #17:

score: 0
Accepted
time: 1ms
memory: 11496kb

input:

5 4

output:

975434093

result:

ok 1 number(s): "975434093"

Test #18:

score: 0
Accepted
time: 174ms
memory: 46032kb

input:

1000 1000

output:

720037464

result:

ok 1 number(s): "720037464"

Test #19:

score: 0
Accepted
time: 0ms
memory: 11612kb

input:

72 42

output:

638177567

result:

ok 1 number(s): "638177567"

Test #20:

score: 0
Accepted
time: 1ms
memory: 11588kb

input:

15 19

output:

663050288

result:

ok 1 number(s): "663050288"

Test #21:

score: 0
Accepted
time: 1ms
memory: 11624kb

input:

68 89

output:

94365047

result:

ok 1 number(s): "94365047"

Test #22:

score: 0
Accepted
time: 1ms
memory: 11604kb

input:

92 37

output:

652605307

result:

ok 1 number(s): "652605307"

Test #23:

score: 0
Accepted
time: 0ms
memory: 11532kb

input:

61 87

output:

498277867

result:

ok 1 number(s): "498277867"

Test #24:

score: 0
Accepted
time: 2ms
memory: 11544kb

input:

81 40

output:

133095344

result:

ok 1 number(s): "133095344"

Test #25:

score: 0
Accepted
time: 4ms
memory: 11500kb

input:

7 91

output:

524164813

result:

ok 1 number(s): "524164813"

Test #26:

score: 0
Accepted
time: 3ms
memory: 11540kb

input:

31 18

output:

361233485

result:

ok 1 number(s): "361233485"

Test #27:

score: 0
Accepted
time: 4ms
memory: 11544kb

input:

74 54

output:

500686087

result:

ok 1 number(s): "500686087"

Test #28:

score: 0
Accepted
time: 4ms
memory: 11532kb

input:

32 2

output:

586504335

result:

ok 1 number(s): "586504335"

Test #29:

score: 0
Accepted
time: 82ms
memory: 27664kb

input:

656 718

output:

346764298

result:

ok 1 number(s): "346764298"

Test #30:

score: 0
Accepted
time: 36ms
memory: 19108kb

input:

254 689

output:

358078813

result:

ok 1 number(s): "358078813"

Test #31:

score: 0
Accepted
time: 80ms
memory: 27176kb

input:

713 674

output:

914437613

result:

ok 1 number(s): "914437613"

Test #32:

score: 0
Accepted
time: 22ms
memory: 14528kb

input:

136 698

output:

56687290

result:

ok 1 number(s): "56687290"

Test #33:

score: 0
Accepted
time: 32ms
memory: 17812kb

input:

369 401

output:

312325811

result:

ok 1 number(s): "312325811"

Test #34:

score: 0
Accepted
time: 6ms
memory: 14060kb

input:

280 204

output:

280012063

result:

ok 1 number(s): "280012063"

Test #35:

score: 0
Accepted
time: 40ms
memory: 18948kb

input:

904 225

output:

162909174

result:

ok 1 number(s): "162909174"

Test #36:

score: 0
Accepted
time: 178ms
memory: 41588kb

input:

855 928

output:

39885159

result:

ok 1 number(s): "39885159"

Test #37:

score: 0
Accepted
time: 38ms
memory: 19780kb

input:

503 365

output:

745115888

result:

ok 1 number(s): "745115888"

Test #38:

score: 0
Accepted
time: 163ms
memory: 38352kb

input:

646 996

output:

610925577

result:

ok 1 number(s): "610925577"

Test #39:

score: 0
Accepted
time: 179ms
memory: 42984kb

input:

990 918

output:

203469632

result:

ok 1 number(s): "203469632"

Test #40:

score: 0
Accepted
time: 175ms
memory: 46252kb

input:

961 949

output:

169566857

result:

ok 1 number(s): "169566857"

Test #41:

score: 0
Accepted
time: 179ms
memory: 42780kb

input:

946 932

output:

352423195

result:

ok 1 number(s): "352423195"

Test #42:

score: 0
Accepted
time: 172ms
memory: 43984kb

input:

903 981

output:

196309824

result:

ok 1 number(s): "196309824"

Test #43:

score: 0
Accepted
time: 160ms
memory: 43484kb

input:

916 988

output:

487208972

result:

ok 1 number(s): "487208972"

Test #44:

score: 0
Accepted
time: 179ms
memory: 45320kb

input:

982 982

output:

387421488

result:

ok 1 number(s): "387421488"

Test #45:

score: 0
Accepted
time: 189ms
memory: 43672kb

input:

955 911

output:

955637031

result:

ok 1 number(s): "955637031"

Test #46:

score: 0
Accepted
time: 172ms
memory: 46040kb

input:

906 999

output:

798469943

result:

ok 1 number(s): "798469943"

Test #47:

score: 0
Accepted
time: 189ms
memory: 45136kb

input:

982 975

output:

193506289

result:

ok 1 number(s): "193506289"

Test #48:

score: 0
Accepted
time: 175ms
memory: 46056kb

input:

921 991

output:

431202149

result:

ok 1 number(s): "431202149"