QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#32226 | #1810. Generate the Sequences | KuriyamaMirai | AC ✓ | 38ms | 3800kb | C++14 | 858b | 2022-05-18 08:18:12 | 2022-05-18 08:18:14 |
Judging History
answer
//appleblue17
#include<bits/stdc++.h>
using namespace std;
const int N=3300,mod=998244353;
int ksm(int f,int x){
int tot=1;
while(x){
if(x & 1ll) tot=1ll*tot*f%mod;
f=1ll*f*f%mod;
x>>=1ll;
}
return tot;
}
int mul[N],inv[N];
void init(int lim){
mul[0]=inv[0]=1;
for(int i=1;i<=lim;i++) mul[i]=1ll*mul[i-1]*i%mod;
inv[lim]=ksm(mul[lim],mod-2);
for(int i=lim-1;i>=1;i--) inv[i]=1ll*inv[i+1]*(i+1)%mod;
}
int C(int m,int n){
if(m<0 || n<0 || m<n) return 0;
return 1ll*mul[m]*inv[n]%mod*inv[m-n]%mod;
}
int n,m;
long long c[N],dp[N];
int main(){
init(N-5);
cin>>n>>m;
c[0]=1;
for(int i=1;i<=n;i++) c[i]=c[i-1]*(m-i-1)%mod;
dp[n]=1;
for(int i=n;i>=1;i--){
dp[i-1]=(dp[i-1]+dp[i])%mod;
for(int j=0;j<i;j++){
dp[i-j-1]=(dp[i-j-1]+dp[i]*C(i-1,j)%mod*c[j]%mod)%mod;
}
}
cout<<dp[0];
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 3ms
memory: 3628kb
input:
2 3
output:
5
result:
ok answer is '5'
Test #2:
score: 0
Accepted
time: 3ms
memory: 3496kb
input:
1024 52689658
output:
654836147
result:
ok answer is '654836147'
Test #3:
score: 0
Accepted
time: 2ms
memory: 3748kb
input:
1 2
output:
2
result:
ok answer is '2'
Test #4:
score: 0
Accepted
time: 4ms
memory: 3752kb
input:
1 3
output:
2
result:
ok answer is '2'
Test #5:
score: 0
Accepted
time: 3ms
memory: 3548kb
input:
1 100000000
output:
2
result:
ok answer is '2'
Test #6:
score: 0
Accepted
time: 2ms
memory: 3480kb
input:
2 2
output:
4
result:
ok answer is '4'
Test #7:
score: 0
Accepted
time: 0ms
memory: 3600kb
input:
2 4
output:
6
result:
ok answer is '6'
Test #8:
score: 0
Accepted
time: 1ms
memory: 3696kb
input:
2 5
output:
7
result:
ok answer is '7'
Test #9:
score: 0
Accepted
time: 3ms
memory: 3616kb
input:
2 100000000
output:
100000002
result:
ok answer is '100000002'
Test #10:
score: 0
Accepted
time: 1ms
memory: 3548kb
input:
3 2
output:
8
result:
ok answer is '8'
Test #11:
score: 0
Accepted
time: 2ms
memory: 3612kb
input:
3 3
output:
14
result:
ok answer is '14'
Test #12:
score: 0
Accepted
time: 3ms
memory: 3620kb
input:
3 4
output:
22
result:
ok answer is '22'
Test #13:
score: 0
Accepted
time: 2ms
memory: 3620kb
input:
3 5
output:
32
result:
ok answer is '32'
Test #14:
score: 0
Accepted
time: 3ms
memory: 3600kb
input:
3 100000000
output:
446563791
result:
ok answer is '446563791'
Test #15:
score: 0
Accepted
time: 38ms
memory: 3800kb
input:
3000 2
output:
21292722
result:
ok answer is '21292722'
Test #16:
score: 0
Accepted
time: 38ms
memory: 3756kb
input:
3000 3
output:
172222927
result:
ok answer is '172222927'
Test #17:
score: 0
Accepted
time: 38ms
memory: 3724kb
input:
3000 100000000
output:
736503947
result:
ok answer is '736503947'
Test #18:
score: 0
Accepted
time: 24ms
memory: 3660kb
input:
2522 61077387
output:
857454425
result:
ok answer is '857454425'
Test #19:
score: 0
Accepted
time: 1ms
memory: 3692kb
input:
426 7215704
output:
799491736
result:
ok answer is '799491736'
Test #20:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
772 72289915
output:
848141383
result:
ok answer is '848141383'
Test #21:
score: 0
Accepted
time: 11ms
memory: 3612kb
input:
1447 83321470
output:
160422285
result:
ok answer is '160422285'
Test #22:
score: 0
Accepted
time: 23ms
memory: 3636kb
input:
2497 64405193
output:
355300540
result:
ok answer is '355300540'
Test #23:
score: 0
Accepted
time: 5ms
memory: 3492kb
input:
775 9385367
output:
470172346
result:
ok answer is '470172346'
Test #24:
score: 0
Accepted
time: 7ms
memory: 3616kb
input:
982 72596758
output:
7144187
result:
ok answer is '7144187'
Test #25:
score: 0
Accepted
time: 3ms
memory: 3756kb
input:
417 26177178
output:
776374896
result:
ok answer is '776374896'
Test #26:
score: 0
Accepted
time: 17ms
memory: 3508kb
input:
1932 19858856
output:
285834553
result:
ok answer is '285834553'
Test #27:
score: 0
Accepted
time: 32ms
memory: 3588kb
input:
2728 23009122
output:
433516287
result:
ok answer is '433516287'
Test #28:
score: 0
Accepted
time: 16ms
memory: 3628kb
input:
1857 22578508
output:
243488639
result:
ok answer is '243488639'
Test #29:
score: 0
Accepted
time: 36ms
memory: 3640kb
input:
2918 69623276
output:
546299707
result:
ok answer is '546299707'
Test #30:
score: 0
Accepted
time: 14ms
memory: 3624kb
input:
1679 21332149
output:
217000656
result:
ok answer is '217000656'
Test #31:
score: 0
Accepted
time: 4ms
memory: 3572kb
input:
1340 6251797
output:
267221018
result:
ok answer is '267221018'
Test #32:
score: 0
Accepted
time: 5ms
memory: 3636kb
input:
868 64770398
output:
652067665
result:
ok answer is '652067665'