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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#14879#1810. Generate the SequencesrunningAC ✓54ms3820kbC++171.4kb2021-10-18 18:09:302022-05-17 01:10:17

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.
  • [2022-05-17 01:10:17]
  • 评测
  • 测评结果:AC
  • 用时:54ms
  • 内存:3820kb
  • [2021-10-18 18:09:30]
  • 提交

answer

#include <bits/stdc++.h>
#pragma GCC optimize(3)
//#define int long long
#define ri register
#define mk make_pair
#define fi first
#define se second
#define pb push_back
#define eb emplace_back
#define is insert
#define es erase
#define vi vector<int>
#define vpi vector<pair<int,int>>
using namespace std; const int N=3010, Mod=998244353;
inline int read()
{
    int s=0, w=1; ri char ch=getchar();
    while(ch<'0'||ch>'9') { if(ch=='-') w=-1; ch=getchar(); }
    while(ch>='0'&&ch<='9') s=(s<<3)+(s<<1)+(ch^48), ch=getchar();
    return s*w;
}
int n,m,f[N],fac[N+5],inv[N+5],iiv[N+5];
inline int ksc(int x,int p) { int res=1; for(;p;p>>=1, x=1ll*x*x%Mod) if(p&1) res=1ll*res*x%Mod; return res; }
inline int C(int x,int y) { if(x<y||x<0||y<0) return 0; return 1ll*fac[x]*inv[x-y]%Mod*inv[y]%Mod; }
signed main()
{
	fac[0]=1;
	for(ri int i=1;i<=N;i++) fac[i]=1ll*fac[i-1]*i%Mod;
	inv[N]=ksc(fac[N],Mod-2);
	for(ri int i=N;i;i--) inv[i-1]=1ll*inv[i]*i%Mod;
	iiv[1]=1;
	for(ri int i=2;i<=N;i++) iiv[i]=1ll*(Mod-Mod/i)*iiv[Mod%i]%Mod;
	n=read()+1, m=read();
	f[1]=1;
	for(ri int i=2;i<=n;i++)
	{
		f[i]=f[i-1];
		int fir=1,sec=1;
		for(ri int k=0;k<=min(i,m)-2;k++)
		{
			f[i]=(f[i]+1ll*f[i-k-1]*fir%Mod*sec%Mod*C(n-i+k,k)%Mod)%Mod;
			fir=1ll*fir*(m-2-k)%Mod*iiv[k+1]%Mod, sec=1ll*sec*(k+1)%Mod;
		}
	}
	printf("%d\n",f[n]);
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 3764kb

input:

2 3

output:

5

result:

ok answer is '5'

Test #2:

score: 0
Accepted
time: 11ms
memory: 3708kb

input:

1024 52689658

output:

654836147

result:

ok answer is '654836147'

Test #3:

score: 0
Accepted
time: 3ms
memory: 3756kb

input:

1 2

output:

2

result:

ok answer is '2'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3744kb

input:

1 3

output:

2

result:

ok answer is '2'

Test #5:

score: 0
Accepted
time: 1ms
memory: 3748kb

input:

1 100000000

output:

2

result:

ok answer is '2'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3684kb

input:

2 2

output:

4

result:

ok answer is '4'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3728kb

input:

2 4

output:

6

result:

ok answer is '6'

Test #8:

score: 0
Accepted
time: 2ms
memory: 3684kb

input:

2 5

output:

7

result:

ok answer is '7'

Test #9:

score: 0
Accepted
time: 3ms
memory: 3728kb

input:

2 100000000

output:

100000002

result:

ok answer is '100000002'

Test #10:

score: 0
Accepted
time: 2ms
memory: 3732kb

input:

3 2

output:

8

result:

ok answer is '8'

Test #11:

score: 0
Accepted
time: 2ms
memory: 3732kb

input:

3 3

output:

14

result:

ok answer is '14'

Test #12:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

3 4

output:

22

result:

ok answer is '22'

Test #13:

score: 0
Accepted
time: 3ms
memory: 3744kb

input:

3 5

output:

32

result:

ok answer is '32'

Test #14:

score: 0
Accepted
time: 0ms
memory: 3768kb

input:

3 100000000

output:

446563791

result:

ok answer is '446563791'

Test #15:

score: 0
Accepted
time: 3ms
memory: 3776kb

input:

3000 2

output:

21292722

result:

ok answer is '21292722'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3692kb

input:

3000 3

output:

172222927

result:

ok answer is '172222927'

Test #17:

score: 0
Accepted
time: 52ms
memory: 3624kb

input:

3000 100000000

output:

736503947

result:

ok answer is '736503947'

Test #18:

score: 0
Accepted
time: 37ms
memory: 3700kb

input:

2522 61077387

output:

857454425

result:

ok answer is '857454425'

Test #19:

score: 0
Accepted
time: 4ms
memory: 3660kb

input:

426 7215704

output:

799491736

result:

ok answer is '799491736'

Test #20:

score: 0
Accepted
time: 3ms
memory: 3780kb

input:

772 72289915

output:

848141383

result:

ok answer is '848141383'

Test #21:

score: 0
Accepted
time: 11ms
memory: 3776kb

input:

1447 83321470

output:

160422285

result:

ok answer is '160422285'

Test #22:

score: 0
Accepted
time: 40ms
memory: 3752kb

input:

2497 64405193

output:

355300540

result:

ok answer is '355300540'

Test #23:

score: 0
Accepted
time: 6ms
memory: 3732kb

input:

775 9385367

output:

470172346

result:

ok answer is '470172346'

Test #24:

score: 0
Accepted
time: 5ms
memory: 3772kb

input:

982 72596758

output:

7144187

result:

ok answer is '7144187'

Test #25:

score: 0
Accepted
time: 4ms
memory: 3820kb

input:

417 26177178

output:

776374896

result:

ok answer is '776374896'

Test #26:

score: 0
Accepted
time: 20ms
memory: 3752kb

input:

1932 19858856

output:

285834553

result:

ok answer is '285834553'

Test #27:

score: 0
Accepted
time: 46ms
memory: 3688kb

input:

2728 23009122

output:

433516287

result:

ok answer is '433516287'

Test #28:

score: 0
Accepted
time: 17ms
memory: 3708kb

input:

1857 22578508

output:

243488639

result:

ok answer is '243488639'

Test #29:

score: 0
Accepted
time: 54ms
memory: 3696kb

input:

2918 69623276

output:

546299707

result:

ok answer is '546299707'

Test #30:

score: 0
Accepted
time: 19ms
memory: 3752kb

input:

1679 21332149

output:

217000656

result:

ok answer is '217000656'

Test #31:

score: 0
Accepted
time: 13ms
memory: 3784kb

input:

1340 6251797

output:

267221018

result:

ok answer is '267221018'

Test #32:

score: 0
Accepted
time: 7ms
memory: 3620kb

input:

868 64770398

output:

652067665

result:

ok answer is '652067665'