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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#352061#6333. Festivals in JOI Kingdom 2zyz07100 ✓3625ms7528kbC++171.5kb2024-03-12 20:10:582024-03-12 20:10:58

Judging History

你现在查看的是最新测评结果

  • [2024-03-12 20:10:58]
  • 评测
  • 测评结果:100
  • 用时:3625ms
  • 内存:7528kb
  • [2024-03-12 20:10:58]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define For(Ti,Ta,Tb) for(auto Ti=(Ta);Ti<=(Tb);++Ti)
#define Dec(Ti,Ta,Tb) for(auto Ti=(Ta);Ti>=(Tb);--Ti)
#define debug(...) fprintf(stderr,__VA_ARGS__)
#define range(Tx) begin(Tx),end(Tx)
using ll=long long;
using i128=__int128;
const int N=2e4+5;
int n,mod;
ll fac[N*2],inv[N*2],ifac[N*2];
void init_fac(){
	fac[0]=1;
	For(i,1,N*2-1) fac[i]=fac[i-1]*i%mod;
	inv[1]=1;
	For(i,2,N*2-1) inv[i]=(mod-mod/i)*inv[mod%i]%mod;
	ifac[0]=ifac[1]=1;
	For(i,2,N*2-1) ifac[i]=ifac[i-1]*inv[i]%mod;
}
void reduce(ll& x){
	x=(x>=mod?x-mod:x);
}
ll f[2][N][3];
i128 g[N*2][3];
// 0:没有劣势
// 1:没有劣势,有左端点
// 2:有劣势,有左端点
int main(){
	cin.tie(nullptr)->sync_with_stdio(false);
	cin>>n>>mod;
	init_fac();
	auto ff=[&](int n,int m){
		return n<m?0:fac[n]*ifac[n-m];
	};
	f[0][0][0]=1;
	For(i,0,n*2-1){
		memset(f[~i&1],0,sizeof(ll)*min(n,i+1)*3);
		For(k,0,min({n,i,n*2-i})){
			// 左括号
			reduce(f[~i&1][k+1][1]+=f[i&1][k][0]);
			reduce(f[~i&1][k+1][1]+=f[i&1][k][1]);
			reduce(f[~i&1][k+1][2]+=f[i&1][k][2]);
			// 右括号
			reduce(f[~i&1][k][0]+=f[i&1][k][2]);
			if(k){
				if(k>1){
					g[i+k-1][2]+=i128(k-1)*f[i&1][k][1]*ff(n*2-i-1,k-2);
				}
				g[i+k][0]+=i128(f[i&1][k][1])*ff(n*2-i-1,k-1);
			}
		}
		reduce(f[~i&1][0][0]+=g[i+1][0]%mod);
		reduce(f[~i&1][0][2]+=g[i+1][2]%mod);
	}
	ll all=1;
	for(int i=n*2-1;i>=1;i-=2){
		(all*=i)%=mod;
	}
	cout<<(all-f[0][0][0]+mod)%mod<<'\n';
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Subtask #1:

score: 5
Accepted

Test #1:

score: 5
Accepted
time: 0ms
memory: 4548kb

input:

1 194903119

output:

0

result:

ok 1 number(s): "0"

Test #2:

score: 0
Accepted
time: 0ms
memory: 4592kb

input:

2 933234047

output:

0

result:

ok 1 number(s): "0"

Test #3:

score: 0
Accepted
time: 2ms
memory: 4708kb

input:

3 277793111

output:

2

result:

ok 1 number(s): "2"

Test #4:

score: 0
Accepted
time: 2ms
memory: 4516kb

input:

4 355321177

output:

28

result:

ok 1 number(s): "28"

Test #5:

score: 0
Accepted
time: 1ms
memory: 4436kb

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: 2ms
memory: 4760kb

input:

8 361605653

output:

1236922

result:

ok 1 number(s): "1236922"

Test #7:

score: 0
Accepted
time: 0ms
memory: 4488kb

input:

8 995512643

output:

1236922

result:

ok 1 number(s): "1236922"

Test #8:

score: 0
Accepted
time: 1ms
memory: 4548kb

input:

8 101102801

output:

1236922

result:

ok 1 number(s): "1236922"

Test #9:

score: 0
Accepted
time: 2ms
memory: 4536kb

input:

6 458322727

output:

4894

result:

ok 1 number(s): "4894"

Test #10:

score: 0
Accepted
time: 1ms
memory: 4432kb

input:

7 721691819

output:

73884

result:

ok 1 number(s): "73884"

Test #11:

score: 0
Accepted
time: 1ms
memory: 4432kb

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: 2ms
memory: 4728kb

input:

30 779092367

output:

686412377

result:

ok 1 number(s): "686412377"

Test #13:

score: 0
Accepted
time: 1ms
memory: 4784kb

input:

29 963995171

output:

128570082

result:

ok 1 number(s): "128570082"

Test #14:

score: 0
Accepted
time: 0ms
memory: 4536kb

input:

18 666092701

output:

185922458

result:

ok 1 number(s): "185922458"

Test #15:

score: 0
Accepted
time: 2ms
memory: 4536kb

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: 2ms
memory: 4584kb

input:

300 463478027

output:

89265245

result:

ok 1 number(s): "89265245"

Test #17:

score: 0
Accepted
time: 0ms
memory: 4740kb

input:

296 567610679

output:

406342763

result:

ok 1 number(s): "406342763"

Test #18:

score: 0
Accepted
time: 2ms
memory: 4764kb

input:

297 609090359

output:

128986577

result:

ok 1 number(s): "128986577"

Test #19:

score: 0
Accepted
time: 2ms
memory: 4536kb

input:

48 759569383

output:

635573072

result:

ok 1 number(s): "635573072"

Test #20:

score: 0
Accepted
time: 2ms
memory: 4552kb

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: 82ms
memory: 5180kb

input:

3000 752129633

output:

33058561

result:

ok 1 number(s): "33058561"

Test #22:

score: 0
Accepted
time: 76ms
memory: 4968kb

input:

2993 491173567

output:

343277625

result:

ok 1 number(s): "343277625"

Test #23:

score: 0
Accepted
time: 79ms
memory: 4928kb

input:

2993 783095563

output:

776085006

result:

ok 1 number(s): "776085006"

Test #24:

score: 0
Accepted
time: 2ms
memory: 4480kb

input:

327 399783431

output:

163535283

result:

ok 1 number(s): "163535283"

Test #25:

score: 0
Accepted
time: 15ms
memory: 4724kb

input:

1233 857060207

output:

422139845

result:

ok 1 number(s): "422139845"

Test #26:

score: 0
Accepted
time: 12ms
memory: 4916kb

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: 3625ms
memory: 7528kb

input:

20000 221054167

output:

39809956

result:

ok 1 number(s): "39809956"

Test #28:

score: 0
Accepted
time: 3589ms
memory: 7376kb

input:

19997 823974001

output:

267537750

result:

ok 1 number(s): "267537750"

Test #29:

score: 0
Accepted
time: 3582ms
memory: 7376kb

input:

19991 501689843

output:

16527909

result:

ok 1 number(s): "16527909"

Test #30:

score: 0
Accepted
time: 1820ms
memory: 7408kb

input:

14344 925452091

output:

212324779

result:

ok 1 number(s): "212324779"

Test #31:

score: 0
Accepted
time: 325ms
memory: 7192kb

input:

6098 507350869

output:

310480789

result:

ok 1 number(s): "310480789"

Test #32:

score: 0
Accepted
time: 264ms
memory: 6708kb

input:

5564 406069759

output:

105694337

result:

ok 1 number(s): "105694337"

Extra Test:

score: 0
Extra Test Passed