QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#432060 | #1810. Generate the Sequences | grass8cow# | AC ✓ | 29ms | 3988kb | C++17 | 845b | 2024-06-06 17:17:26 | 2024-06-06 17:17:28 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
int n,m,f[3010],jx[3010];
const int mod=998244353,N=3e3;
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 jc[N+10],ij[N+10];
int C(int a,int b){
if(a<b||a<0||b<0)return 0;
return 1ll*jc[a]*ij[b]%mod*ij[a-b]%mod;
}
int hv[N+10];
int main(){
jc[0]=1;
for(int i=1;i<=N;i++)jc[i]=1ll*i*jc[i-1]%mod;
ij[N]=qpow(jc[N],mod-2);
for(int i=N;i;i--)ij[i-1]=1ll*i*ij[i]%mod;
scanf("%d%d",&n,&m);
hv[0]=1;
for(int i=1;i<=N;i++)hv[i]=1ll*hv[i-1]*(m-1-i)%mod;
f[0]=1;
for(int i=1;i<=n;i++){
f[i]=f[i-1];
for(int j=0;j<=i-1;j++)
(f[i]+=1ll*C(i-1,j)*f[i-1-j]%mod*hv[j]%mod)%=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: 1ms
memory: 3936kb
input:
2 3
output:
5
result:
ok answer is '5'
Test #2:
score: 0
Accepted
time: 4ms
memory: 3988kb
input:
1024 52689658
output:
654836147
result:
ok answer is '654836147'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3928kb
input:
1 2
output:
2
result:
ok answer is '2'
Test #4:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
1 3
output:
2
result:
ok answer is '2'
Test #5:
score: 0
Accepted
time: 0ms
memory: 3876kb
input:
1 100000000
output:
2
result:
ok answer is '2'
Test #6:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
2 2
output:
4
result:
ok answer is '4'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
2 4
output:
6
result:
ok answer is '6'
Test #8:
score: 0
Accepted
time: 0ms
memory: 3940kb
input:
2 5
output:
7
result:
ok answer is '7'
Test #9:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
2 100000000
output:
100000002
result:
ok answer is '100000002'
Test #10:
score: 0
Accepted
time: 0ms
memory: 3872kb
input:
3 2
output:
8
result:
ok answer is '8'
Test #11:
score: 0
Accepted
time: 0ms
memory: 3920kb
input:
3 3
output:
14
result:
ok answer is '14'
Test #12:
score: 0
Accepted
time: 0ms
memory: 3916kb
input:
3 4
output:
22
result:
ok answer is '22'
Test #13:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
3 5
output:
32
result:
ok answer is '32'
Test #14:
score: 0
Accepted
time: 0ms
memory: 3832kb
input:
3 100000000
output:
446563791
result:
ok answer is '446563791'
Test #15:
score: 0
Accepted
time: 29ms
memory: 3944kb
input:
3000 2
output:
21292722
result:
ok answer is '21292722'
Test #16:
score: 0
Accepted
time: 28ms
memory: 3892kb
input:
3000 3
output:
172222927
result:
ok answer is '172222927'
Test #17:
score: 0
Accepted
time: 28ms
memory: 3860kb
input:
3000 100000000
output:
736503947
result:
ok answer is '736503947'
Test #18:
score: 0
Accepted
time: 20ms
memory: 3924kb
input:
2522 61077387
output:
857454425
result:
ok answer is '857454425'
Test #19:
score: 0
Accepted
time: 2ms
memory: 3876kb
input:
426 7215704
output:
799491736
result:
ok answer is '799491736'
Test #20:
score: 0
Accepted
time: 2ms
memory: 3920kb
input:
772 72289915
output:
848141383
result:
ok answer is '848141383'
Test #21:
score: 0
Accepted
time: 7ms
memory: 3856kb
input:
1447 83321470
output:
160422285
result:
ok answer is '160422285'
Test #22:
score: 0
Accepted
time: 19ms
memory: 3856kb
input:
2497 64405193
output:
355300540
result:
ok answer is '355300540'
Test #23:
score: 0
Accepted
time: 2ms
memory: 3796kb
input:
775 9385367
output:
470172346
result:
ok answer is '470172346'
Test #24:
score: 0
Accepted
time: 3ms
memory: 3988kb
input:
982 72596758
output:
7144187
result:
ok answer is '7144187'
Test #25:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
417 26177178
output:
776374896
result:
ok answer is '776374896'
Test #26:
score: 0
Accepted
time: 12ms
memory: 3932kb
input:
1932 19858856
output:
285834553
result:
ok answer is '285834553'
Test #27:
score: 0
Accepted
time: 23ms
memory: 3944kb
input:
2728 23009122
output:
433516287
result:
ok answer is '433516287'
Test #28:
score: 0
Accepted
time: 11ms
memory: 3880kb
input:
1857 22578508
output:
243488639
result:
ok answer is '243488639'
Test #29:
score: 0
Accepted
time: 26ms
memory: 3884kb
input:
2918 69623276
output:
546299707
result:
ok answer is '546299707'
Test #30:
score: 0
Accepted
time: 9ms
memory: 3844kb
input:
1679 21332149
output:
217000656
result:
ok answer is '217000656'
Test #31:
score: 0
Accepted
time: 6ms
memory: 3928kb
input:
1340 6251797
output:
267221018
result:
ok answer is '267221018'
Test #32:
score: 0
Accepted
time: 3ms
memory: 3984kb
input:
868 64770398
output:
652067665
result:
ok answer is '652067665'