QOJ.ac
QOJ
| ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
|---|---|---|---|---|---|---|---|---|---|
| #24274 | #1810. Generate the Sequences | Wu_Ren | AC ✓ | 19ms | 3892kb | C++17 | 577b | 2022-03-29 07:46:20 | 2022-04-30 05:22:49 |
Judging History
answer
#include <bits/stdc++.h>
const int mod=998244353;
using namespace std;
int f[3010],n,m,g[3010],fac[3010],inv[3010];
int main(){
scanf("%d%d",&n,&m);
n++;
for(int i=fac[0]=inv[1]=1;i<=n;i++) fac[i]=1ll*i*fac[i-1]%mod;
for(int i=2;i<=n;i++) inv[i]=mod-1ll*(mod/i)*inv[mod%i]%mod;
g[0]=1,g[1]=m-2;
for(int i=2;i<=n;i++) g[i]=1ll*g[i-1]*inv[i]%mod*(m-i-1)%mod;
f[1]=inv[n];
for(int i=2;i<=n;i++){
f[i]=(f[i]+1ll*f[i-1]*inv[n-(i-1)])%mod;
for(int j=1;j<i;j++) f[i]=(f[i]+1ll*f[i-j]*g[j-1]%mod*inv[n-(i-j)])%mod;
}
printf("%d\n",1ll*f[n]*fac[n]%mod);
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3772kb
input:
2 3
output:
5
result:
ok answer is '5'
Test #2:
score: 0
Accepted
time: 5ms
memory: 3812kb
input:
1024 52689658
output:
654836147
result:
ok answer is '654836147'
Test #3:
score: 0
Accepted
time: 0ms
memory: 3744kb
input:
1 2
output:
2
result:
ok answer is '2'
Test #4:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
1 3
output:
2
result:
ok answer is '2'
Test #5:
score: 0
Accepted
time: 3ms
memory: 3652kb
input:
1 100000000
output:
2
result:
ok answer is '2'
Test #6:
score: 0
Accepted
time: 3ms
memory: 3792kb
input:
2 2
output:
4
result:
ok answer is '4'
Test #7:
score: 0
Accepted
time: 3ms
memory: 3788kb
input:
2 4
output:
6
result:
ok answer is '6'
Test #8:
score: 0
Accepted
time: 3ms
memory: 3860kb
input:
2 5
output:
7
result:
ok answer is '7'
Test #9:
score: 0
Accepted
time: 3ms
memory: 3656kb
input:
2 100000000
output:
100000002
result:
ok answer is '100000002'
Test #10:
score: 0
Accepted
time: 3ms
memory: 3788kb
input:
3 2
output:
8
result:
ok answer is '8'
Test #11:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
3 3
output:
14
result:
ok answer is '14'
Test #12:
score: 0
Accepted
time: 1ms
memory: 3744kb
input:
3 4
output:
22
result:
ok answer is '22'
Test #13:
score: 0
Accepted
time: 3ms
memory: 3788kb
input:
3 5
output:
32
result:
ok answer is '32'
Test #14:
score: 0
Accepted
time: 3ms
memory: 3860kb
input:
3 100000000
output:
446563791
result:
ok answer is '446563791'
Test #15:
score: 0
Accepted
time: 19ms
memory: 3752kb
input:
3000 2
output:
21292722
result:
ok answer is '21292722'
Test #16:
score: 0
Accepted
time: 15ms
memory: 3728kb
input:
3000 3
output:
172222927
result:
ok answer is '172222927'
Test #17:
score: 0
Accepted
time: 19ms
memory: 3892kb
input:
3000 100000000
output:
736503947
result:
ok answer is '736503947'
Test #18:
score: 0
Accepted
time: 15ms
memory: 3892kb
input:
2522 61077387
output:
857454425
result:
ok answer is '857454425'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
426 7215704
output:
799491736
result:
ok answer is '799491736'
Test #20:
score: 0
Accepted
time: 4ms
memory: 3804kb
input:
772 72289915
output:
848141383
result:
ok answer is '848141383'
Test #21:
score: 0
Accepted
time: 7ms
memory: 3888kb
input:
1447 83321470
output:
160422285
result:
ok answer is '160422285'
Test #22:
score: 0
Accepted
time: 14ms
memory: 3888kb
input:
2497 64405193
output:
355300540
result:
ok answer is '355300540'
Test #23:
score: 0
Accepted
time: 1ms
memory: 3868kb
input:
775 9385367
output:
470172346
result:
ok answer is '470172346'
Test #24:
score: 0
Accepted
time: 4ms
memory: 3876kb
input:
982 72596758
output:
7144187
result:
ok answer is '7144187'
Test #25:
score: 0
Accepted
time: 3ms
memory: 3872kb
input:
417 26177178
output:
776374896
result:
ok answer is '776374896'
Test #26:
score: 0
Accepted
time: 4ms
memory: 3888kb
input:
1932 19858856
output:
285834553
result:
ok answer is '285834553'
Test #27:
score: 0
Accepted
time: 16ms
memory: 3800kb
input:
2728 23009122
output:
433516287
result:
ok answer is '433516287'
Test #28:
score: 0
Accepted
time: 9ms
memory: 3820kb
input:
1857 22578508
output:
243488639
result:
ok answer is '243488639'
Test #29:
score: 0
Accepted
time: 15ms
memory: 3800kb
input:
2918 69623276
output:
546299707
result:
ok answer is '546299707'
Test #30:
score: 0
Accepted
time: 4ms
memory: 3884kb
input:
1679 21332149
output:
217000656
result:
ok answer is '217000656'
Test #31:
score: 0
Accepted
time: 7ms
memory: 3888kb
input:
1340 6251797
output:
267221018
result:
ok answer is '267221018'
Test #32:
score: 0
Accepted
time: 4ms
memory: 3816kb
input:
868 64770398
output:
652067665
result:
ok answer is '652067665'