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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#414344#6333. Festivals in JOI Kingdom 2Rafi22#51 3ms10408kbC++141.7kb2024-05-18 21:40:012024-05-18 21:40:02

Judging History

你现在查看的是最新测评结果

  • [2024-05-18 21:40:02]
  • 评测
  • 测评结果:51
  • 用时:3ms
  • 内存:10408kb
  • [2024-05-18 21:40:01]
  • 提交

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=3007;

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][N][3];

void add(int i,int j,int c,int x)
{
	DP[i][j][c]+=x;
	if(DP[i][j][c]>=mod) DP[i][j][c]-=mod;
}

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    int n;
    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 i=0;i<=2*n;i++)
    {
		for(int j=0;j<=min(n,i);j++)
		{
			/*if(DP[i][j][0]>0) cout<<i<<" "<<j<<" "<<0<<" "<<DP[i][j][0]<<endl;
			if(DP[i][j][1]>0) cout<<i<<" "<<j<<" "<<1<<" "<<DP[i][j][1]<<endl;
			if(DP[i][j][2]>0) cout<<i<<" "<<j<<" "<<2<<" "<<DP[i][j][2]<<endl;*/
			if(j>0) add(i+j,0,2,DP[i][j][0]*npok(2*n-i-1,j-1)%mod);
			if(j>1) add(i+j-1,1,1,DP[i][j][0]*npok(2*n-i-1,j-2)%mod*(j-1)%mod);
			add(i+1,j+1,0,DP[i][j][0]);
			
			add(i+1,j-1,2,DP[i][j][1]);
			add(i+1,j+1,1,DP[i][j][1]);
			
			add(i+1,j+1,0,DP[i][j][2]);
		}
	}
    cout<<(tot-DP[2*n][0][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: 3720kb

input:

1 194903119

output:

0

result:

ok 1 number(s): "0"

Test #2:

score: 0
Accepted
time: 1ms
memory: 3732kb

input:

2 933234047

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

3 277793111

output:

2

result:

ok 1 number(s): "2"

Test #4:

score: 0
Accepted
time: 0ms
memory: 3680kb

input:

4 355321177

output:

28

result:

ok 1 number(s): "28"

Test #5:

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

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: 1ms
memory: 3812kb

input:

8 361605653

output:

1236922

result:

ok 1 number(s): "1236922"

Test #7:

score: 0
Accepted
time: 1ms
memory: 5724kb

input:

8 995512643

output:

1236922

result:

ok 1 number(s): "1236922"

Test #8:

score: 0
Accepted
time: 0ms
memory: 3720kb

input:

8 101102801

output:

1236922

result:

ok 1 number(s): "1236922"

Test #9:

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

input:

6 458322727

output:

4894

result:

ok 1 number(s): "4894"

Test #10:

score: 0
Accepted
time: 0ms
memory: 3668kb

input:

7 721691819

output:

73884

result:

ok 1 number(s): "73884"

Test #11:

score: 0
Accepted
time: 1ms
memory: 3704kb

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: 0ms
memory: 3984kb

input:

30 779092367

output:

686412377

result:

ok 1 number(s): "686412377"

Test #13:

score: 0
Accepted
time: 0ms
memory: 4092kb

input:

29 963995171

output:

128570082

result:

ok 1 number(s): "128570082"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3760kb

input:

18 666092701

output:

185922458

result:

ok 1 number(s): "185922458"

Test #15:

score: 0
Accepted
time: 1ms
memory: 3816kb

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: 3ms
memory: 10408kb

input:

300 463478027

output:

89265245

result:

ok 1 number(s): "89265245"

Test #17:

score: 0
Accepted
time: 0ms
memory: 10404kb

input:

296 567610679

output:

406342763

result:

ok 1 number(s): "406342763"

Test #18:

score: 0
Accepted
time: 0ms
memory: 10356kb

input:

297 609090359

output:

128986577

result:

ok 1 number(s): "128986577"

Test #19:

score: 0
Accepted
time: 1ms
memory: 4220kb

input:

48 759569383

output:

635573072

result:

ok 1 number(s): "635573072"

Test #20:

score: 0
Accepted
time: 0ms
memory: 5260kb

input:

99 298873033

output:

285340078

result:

ok 1 number(s): "285340078"

Subtask #5:

score: 0
Runtime Error

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Test #21:

score: 0
Runtime Error

input:

3000 752129633

output:


result:


Subtask #6:

score: 0
Skipped

Dependency #1:

100%
Accepted

Dependency #2:

100%
Accepted

Dependency #3:

100%
Accepted

Dependency #4:

100%
Accepted

Dependency #5:

0%