QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#414367 | #6333. Festivals in JOI Kingdom 2 | Rafi22# | 100 ✓ | 4750ms | 5168kb | C++14 | 1.5kb | 2024-05-18 22:03:48 | 2024-05-18 22:03:49 |
Judging History
answer
#include <bits/stdc++.h>
#define int long long
#define ll long long
#define ld long double
#define endl '\n'
#define st first
#define nd second
#define pb push_back
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
using namespace std;
int inf=1000000007;
ll infl=1000000000000000007;
int mod=998244353;
const int N=20007;
int fac[2*N];
int inv[2*N];
int pot(int x,int p) {int res=1;for(;p;p>>=1) {if(p&1) res=res*x%mod; x=x*x%mod;} return res;}
int npok(int n,int k)
{
if(min(k,n)<0||k>n) return 0;
return fac[n]*inv[n-k]%mod;
}
int DP[2][N][3];
int n;
void add(int i,int j,int c,int x)
{
if(i>n||j>n) return;
DP[j%2][i][c]+=x;
if(DP[j%2][i][c]>=mod) DP[j%2][i][c]-=mod;
}
signed main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin>>n>>mod;
fac[0]=1;
for(int i=1;i<=2*n;i++) fac[i]=fac[i-1]*i%mod;
inv[2*n]=pot(fac[2*n],mod-2);
for(int i=2*n-1;i>=0;i--) inv[i]=inv[i+1]*(i+1)%mod;
int tot=fac[2*n]*inv[n]%mod;
for(int i=1;i<=n;i++) tot=tot*pot(2,mod-2)%mod;
DP[0][0][2]=1;
for(int j=0;j<=n;j++)
{
int J=j%2;
memset(DP[1-J],0,sizeof DP[1-J]);
for(int i=0;i<=j;i++)
{
if(j-i>0) add(j,j,2,DP[J][i][0]*npok(2*n-i-j-1,j-i-1)%mod);
if(j-i>1) add(j-1,j,1,DP[J][i][0]*npok(2*n-i-j-1,j-i-2)%mod*(j-i-1)%mod);
add(i,j+1,0,DP[J][i][0]);
add(i+1,j,2,DP[J][i][1]);
add(i,j+1,1,DP[J][i][1]);
add(i,j+1,0,DP[J][i][2]);
}
}
cout<<(tot-DP[n%2][n][2]+mod)%mod;
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 5
Accepted
Test #1:
score: 5
Accepted
time: 1ms
memory: 4512kb
input:
1 194903119
output:
0
result:
ok 1 number(s): "0"
Test #2:
score: 0
Accepted
time: 0ms
memory: 4580kb
input:
2 933234047
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 0ms
memory: 4552kb
input:
3 277793111
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 1ms
memory: 4512kb
input:
4 355321177
output:
28
result:
ok 1 number(s): "28"
Test #5:
score: 0
Accepted
time: 1ms
memory: 4532kb
input:
5 306636893
output:
358
result:
ok 1 number(s): "358"
Subtask #2:
score: 5
Accepted
Dependency #1:
100%
Accepted
Test #6:
score: 5
Accepted
time: 0ms
memory: 4560kb
input:
8 361605653
output:
1236922
result:
ok 1 number(s): "1236922"
Test #7:
score: 0
Accepted
time: 0ms
memory: 4616kb
input:
8 995512643
output:
1236922
result:
ok 1 number(s): "1236922"
Test #8:
score: 0
Accepted
time: 1ms
memory: 4496kb
input:
8 101102801
output:
1236922
result:
ok 1 number(s): "1236922"
Test #9:
score: 0
Accepted
time: 1ms
memory: 4484kb
input:
6 458322727
output:
4894
result:
ok 1 number(s): "4894"
Test #10:
score: 0
Accepted
time: 1ms
memory: 4576kb
input:
7 721691819
output:
73884
result:
ok 1 number(s): "73884"
Test #11:
score: 0
Accepted
time: 1ms
memory: 4564kb
input:
7 370629137
output:
73884
result:
ok 1 number(s): "73884"
Subtask #3:
score: 27
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Test #12:
score: 27
Accepted
time: 1ms
memory: 4512kb
input:
30 779092367
output:
686412377
result:
ok 1 number(s): "686412377"
Test #13:
score: 0
Accepted
time: 1ms
memory: 4488kb
input:
29 963995171
output:
128570082
result:
ok 1 number(s): "128570082"
Test #14:
score: 0
Accepted
time: 1ms
memory: 4512kb
input:
18 666092701
output:
185922458
result:
ok 1 number(s): "185922458"
Test #15:
score: 0
Accepted
time: 0ms
memory: 4640kb
input:
14 671243719
output:
623913899
result:
ok 1 number(s): "623913899"
Subtask #4:
score: 14
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #16:
score: 14
Accepted
time: 4ms
memory: 4648kb
input:
300 463478027
output:
89265245
result:
ok 1 number(s): "89265245"
Test #17:
score: 0
Accepted
time: 4ms
memory: 4492kb
input:
296 567610679
output:
406342763
result:
ok 1 number(s): "406342763"
Test #18:
score: 0
Accepted
time: 4ms
memory: 4560kb
input:
297 609090359
output:
128986577
result:
ok 1 number(s): "128986577"
Test #19:
score: 0
Accepted
time: 1ms
memory: 4492kb
input:
48 759569383
output:
635573072
result:
ok 1 number(s): "635573072"
Test #20:
score: 0
Accepted
time: 2ms
memory: 4648kb
input:
99 298873033
output:
285340078
result:
ok 1 number(s): "285340078"
Subtask #5:
score: 36
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Test #21:
score: 36
Accepted
time: 122ms
memory: 4668kb
input:
3000 752129633
output:
33058561
result:
ok 1 number(s): "33058561"
Test #22:
score: 0
Accepted
time: 127ms
memory: 4668kb
input:
2993 491173567
output:
343277625
result:
ok 1 number(s): "343277625"
Test #23:
score: 0
Accepted
time: 124ms
memory: 4668kb
input:
2993 783095563
output:
776085006
result:
ok 1 number(s): "776085006"
Test #24:
score: 0
Accepted
time: 4ms
memory: 4504kb
input:
327 399783431
output:
163535283
result:
ok 1 number(s): "163535283"
Test #25:
score: 0
Accepted
time: 28ms
memory: 4524kb
input:
1233 857060207
output:
422139845
result:
ok 1 number(s): "422139845"
Test #26:
score: 0
Accepted
time: 23ms
memory: 4588kb
input:
1114 600227447
output:
598509129
result:
ok 1 number(s): "598509129"
Subtask #6:
score: 13
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Dependency #4:
100%
Accepted
Dependency #5:
100%
Accepted
Test #27:
score: 13
Accepted
time: 4735ms
memory: 5132kb
input:
20000 221054167
output:
39809956
result:
ok 1 number(s): "39809956"
Test #28:
score: 0
Accepted
time: 4730ms
memory: 5132kb
input:
19997 823974001
output:
267537750
result:
ok 1 number(s): "267537750"
Test #29:
score: 0
Accepted
time: 4750ms
memory: 5168kb
input:
19991 501689843
output:
16527909
result:
ok 1 number(s): "16527909"
Test #30:
score: 0
Accepted
time: 2471ms
memory: 4996kb
input:
14344 925452091
output:
212324779
result:
ok 1 number(s): "212324779"
Test #31:
score: 0
Accepted
time: 472ms
memory: 4684kb
input:
6098 507350869
output:
310480789
result:
ok 1 number(s): "310480789"
Test #32:
score: 0
Accepted
time: 396ms
memory: 4748kb
input:
5564 406069759
output:
105694337
result:
ok 1 number(s): "105694337"
Extra Test:
score: 0
Extra Test Passed