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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#410817#6323. Range NEQgrass8cow#AC ✓709ms36104kbC++171.5kb2024-05-14 15:21:222024-05-14 15:21:22

Judging History

This is the latest submission verdict.

  • [2024-05-14 15:21:22]
  • Judged
  • Verdict: AC
  • Time: 709ms
  • Memory: 36104kb
  • [2024-05-14 15:21:22]
  • Submitted

answer

#include<bits/stdc++.h>
using namespace std;
const int mod=998244353,G=3,GI=(mod+1)/3;
#define vi vector<int>
#define pb push_back
int qpow(int a,int b){
	int c=1;for(;b;b>>=1){
		if(b&1)c=1ll*a*c%mod;
		a=1ll*a*a%mod;
	}
	return c;
}
int L,lb[1<<22];
void init(int n){
	L=1;while(L<=n)L<<=1;
	for(int i=0;i<L;i++)lb[i]=(lb[i>>1]>>1)|((i&1)?(L>>1):0);
}
void NTT(vi &a,int fl){
	for(int i=0;i<L;i++)if(i>lb[i])swap(a[i],a[lb[i]]);
	for(int o=1;o<L;o<<=1){
		int Wn=qpow(fl?G:GI,(mod-1)/(o<<1));
		for(int i=0;i<L;i+=(o<<1))for(int j=0,w=1;j<o;j++,w=1ll*w*Wn%mod){
			int x=a[i+j],y=1ll*w*a[i+j+o]%mod;
			a[i+j]=(x+y)%mod,a[i+j+o]=(x-y)%mod;
		}
	}
	if(!fl){
		int I=qpow(L,mod-2);
		for(int i=0;i<L;i++)a[i]=1ll*a[i]*I%mod;
	}
}
vi mul(vi a,vi b){
	int n=(int)a.size()+(int)b.size()-1;init(n);
	a.resize(L),b.resize(L),NTT(a,1),NTT(b,1);
	for(int i=0;i<L;i++)a[i]=1ll*a[i]*b[i]%mod;
	NTT(a,0);a.resize(n);
	return a;
}
int n,m,jc[1010000],ij[1001000];
int C(int a,int b){return 1ll*jc[a]*ij[b]%mod*ij[a-b]%mod;}
int main(){
    scanf("%d%d",&n,&m);
    jc[0]=1;
    for(int i=1;i<=n*m;i++)jc[i]=1ll*i*jc[i-1]%mod;
    ij[n*m]=qpow(jc[n*m],mod-2);
    for(int i=n*m;i;i--)ij[i-1]=1ll*i*ij[i]%mod;
    vector<int>f,g;
    g={1};
    for(int i=0;i<=m;i++)f.pb((((m-i)&1)?-1ll:1ll)*C(m,i)*ij[i]%mod);
    for(int z=n;z;z>>=1){
        if(z&1)g=mul(g,f);
        f=mul(f,f);
    }
    int ans=0;
    for(int i=0;i<=n*m;i++)(ans+=1ll*jc[i]*g[i]%mod)%=mod;
    ans=1ll*ans*qpow(jc[m],n)%mod;
    return printf("%d",(ans+mod)%mod),0;
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 7788kb

input:

2 2

output:

4

result:

ok 1 number(s): "4"

Test #2:

score: 0
Accepted
time: 1ms
memory: 7900kb

input:

5 1

output:

44

result:

ok 1 number(s): "44"

Test #3:

score: 0
Accepted
time: 8ms
memory: 8020kb

input:

167 91

output:

284830080

result:

ok 1 number(s): "284830080"

Test #4:

score: 0
Accepted
time: 1ms
memory: 8064kb

input:

2 1

output:

1

result:

ok 1 number(s): "1"

Test #5:

score: 0
Accepted
time: 1ms
memory: 7824kb

input:

2 3

output:

36

result:

ok 1 number(s): "36"

Test #6:

score: 0
Accepted
time: 1ms
memory: 8044kb

input:

2 4

output:

576

result:

ok 1 number(s): "576"

Test #7:

score: 0
Accepted
time: 0ms
memory: 7808kb

input:

3 1

output:

2

result:

ok 1 number(s): "2"

Test #8:

score: 0
Accepted
time: 1ms
memory: 7904kb

input:

3 2

output:

80

result:

ok 1 number(s): "80"

Test #9:

score: 0
Accepted
time: 0ms
memory: 7824kb

input:

3 3

output:

12096

result:

ok 1 number(s): "12096"

Test #10:

score: 0
Accepted
time: 1ms
memory: 7804kb

input:

3 4

output:

4783104

result:

ok 1 number(s): "4783104"

Test #11:

score: 0
Accepted
time: 0ms
memory: 8040kb

input:

4 1

output:

9

result:

ok 1 number(s): "9"

Test #12:

score: 0
Accepted
time: 1ms
memory: 8064kb

input:

4 2

output:

4752

result:

ok 1 number(s): "4752"

Test #13:

score: 0
Accepted
time: 1ms
memory: 7816kb

input:

4 3

output:

17927568

result:

ok 1 number(s): "17927568"

Test #14:

score: 0
Accepted
time: 0ms
memory: 7852kb

input:

4 4

output:

776703752

result:

ok 1 number(s): "776703752"

Test #15:

score: 0
Accepted
time: 1ms
memory: 7836kb

input:

5 2

output:

440192

result:

ok 1 number(s): "440192"

Test #16:

score: 0
Accepted
time: 0ms
memory: 8044kb

input:

5 3

output:

189125068

result:

ok 1 number(s): "189125068"

Test #17:

score: 0
Accepted
time: 1ms
memory: 7828kb

input:

5 4

output:

975434093

result:

ok 1 number(s): "975434093"

Test #18:

score: 0
Accepted
time: 699ms
memory: 35876kb

input:

1000 1000

output:

720037464

result:

ok 1 number(s): "720037464"

Test #19:

score: 0
Accepted
time: 3ms
memory: 7900kb

input:

72 42

output:

638177567

result:

ok 1 number(s): "638177567"

Test #20:

score: 0
Accepted
time: 2ms
memory: 7836kb

input:

15 19

output:

663050288

result:

ok 1 number(s): "663050288"

Test #21:

score: 0
Accepted
time: 6ms
memory: 7976kb

input:

68 89

output:

94365047

result:

ok 1 number(s): "94365047"

Test #22:

score: 0
Accepted
time: 4ms
memory: 7992kb

input:

92 37

output:

652605307

result:

ok 1 number(s): "652605307"

Test #23:

score: 0
Accepted
time: 4ms
memory: 7972kb

input:

61 87

output:

498277867

result:

ok 1 number(s): "498277867"

Test #24:

score: 0
Accepted
time: 0ms
memory: 7968kb

input:

81 40

output:

133095344

result:

ok 1 number(s): "133095344"

Test #25:

score: 0
Accepted
time: 2ms
memory: 7836kb

input:

7 91

output:

524164813

result:

ok 1 number(s): "524164813"

Test #26:

score: 0
Accepted
time: 1ms
memory: 7812kb

input:

31 18

output:

361233485

result:

ok 1 number(s): "361233485"

Test #27:

score: 0
Accepted
time: 0ms
memory: 7956kb

input:

74 54

output:

500686087

result:

ok 1 number(s): "500686087"

Test #28:

score: 0
Accepted
time: 0ms
memory: 7740kb

input:

32 2

output:

586504335

result:

ok 1 number(s): "586504335"

Test #29:

score: 0
Accepted
time: 464ms
memory: 32376kb

input:

656 718

output:

346764298

result:

ok 1 number(s): "346764298"

Test #30:

score: 0
Accepted
time: 151ms
memory: 16672kb

input:

254 689

output:

358078813

result:

ok 1 number(s): "358078813"

Test #31:

score: 0
Accepted
time: 491ms
memory: 32512kb

input:

713 674

output:

914437613

result:

ok 1 number(s): "914437613"

Test #32:

score: 0
Accepted
time: 100ms
memory: 11544kb

input:

136 698

output:

56687290

result:

ok 1 number(s): "56687290"

Test #33:

score: 0
Accepted
time: 133ms
memory: 14304kb

input:

369 401

output:

312325811

result:

ok 1 number(s): "312325811"

Test #34:

score: 0
Accepted
time: 46ms
memory: 13544kb

input:

280 204

output:

280012063

result:

ok 1 number(s): "280012063"

Test #35:

score: 0
Accepted
time: 145ms
memory: 18072kb

input:

904 225

output:

162909174

result:

ok 1 number(s): "162909174"

Test #36:

score: 0
Accepted
time: 656ms
memory: 34416kb

input:

855 928

output:

39885159

result:

ok 1 number(s): "39885159"

Test #37:

score: 0
Accepted
time: 151ms
memory: 12304kb

input:

503 365

output:

745115888

result:

ok 1 number(s): "745115888"

Test #38:

score: 0
Accepted
time: 582ms
memory: 34576kb

input:

646 996

output:

610925577

result:

ok 1 number(s): "610925577"

Test #39:

score: 0
Accepted
time: 685ms
memory: 34588kb

input:

990 918

output:

203469632

result:

ok 1 number(s): "203469632"

Test #40:

score: 0
Accepted
time: 678ms
memory: 34904kb

input:

961 949

output:

169566857

result:

ok 1 number(s): "169566857"

Test #41:

score: 0
Accepted
time: 680ms
memory: 35928kb

input:

946 932

output:

352423195

result:

ok 1 number(s): "352423195"

Test #42:

score: 0
Accepted
time: 672ms
memory: 35712kb

input:

903 981

output:

196309824

result:

ok 1 number(s): "196309824"

Test #43:

score: 0
Accepted
time: 671ms
memory: 35656kb

input:

916 988

output:

487208972

result:

ok 1 number(s): "487208972"

Test #44:

score: 0
Accepted
time: 701ms
memory: 35468kb

input:

982 982

output:

387421488

result:

ok 1 number(s): "387421488"

Test #45:

score: 0
Accepted
time: 674ms
memory: 35952kb

input:

955 911

output:

955637031

result:

ok 1 number(s): "955637031"

Test #46:

score: 0
Accepted
time: 659ms
memory: 36104kb

input:

906 999

output:

798469943

result:

ok 1 number(s): "798469943"

Test #47:

score: 0
Accepted
time: 709ms
memory: 35424kb

input:

982 975

output:

193506289

result:

ok 1 number(s): "193506289"

Test #48:

score: 0
Accepted
time: 663ms
memory: 35772kb

input:

921 991

output:

431202149

result:

ok 1 number(s): "431202149"