CSES - Datatähti 2025 alku - Results
Submission details
Task:Kortit II
Sender:a256
Submission time:2024-10-31 18:49:14 +0200
Language:C++ (C++11)
Status:READY
Result:34
Feedback
groupverdictscore
#1ACCEPTED3
#2ACCEPTED5
#3ACCEPTED26
#40
#50
Test results
testverdicttimegroup
#1ACCEPTED0.45 s1, 2, 3, 4, 5details
#2ACCEPTED0.45 s2, 3, 4, 5details
#3ACCEPTED0.45 s3, 4, 5details
#40.45 s4, 5details
#50.45 s5details
#60.45 s5details

Code

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define N 201
#define M 1000000007

int t,n,a,b;
ll C[N][N],f[N][N],ncr[N][N],F[N];

int main(){
	cin.tie(0)->sync_with_stdio(0);

	F[0]=1;
	for(int i=1;i<N;++i) F[i]=i*F[i-1]%M;

	for(int i=0;i<N;++i){
		ncr[i][0]=1;
		for(int j=1;j<=i;++j) ncr[i][j]=(ncr[i-1][j-1]+ncr[i-1][j])%M;
	}

	C[0][0]=1;
	for(int n=2;n<N;++n){
		C[n][1]=1;
		for(int k=2;k<=n;++k) C[n][k]=(k*C[n-1][k]%M+(n-k)*C[n-1][k-1]%M)%M;
	}

	f[0][0]=1;
	for(int n=2;n<N;++n){
		f[n][1]=f[n][n-1]=1;
		for(int k=2;k<n-1;++k){
			ll S=C[n][k];
			for(int i=1;i<n;++i){
				ll s=0;
				for(int j=1;j<k;++j) s+=C[i][j]*f[n-i][k-j]%M;
				S+=ncr[n-1][i-1]*s%M;
				S%=M;
			}
			f[n][k]=S;
		}
	}

	cin>>t;
	while(t--){
		cin>>n>>a>>b;
		if(a+b>n){
			cout<<"0\n";
			continue;
		}
		ll r=f[a+b][a]*ncr[n][n-a-b]%M*F[n]%M;
		cout<<r<<'\n';
	}
}

Test details

Test 1

Group: 1, 2, 3, 4, 5

Verdict: ACCEPTED

input
54
4 4 0
3 1 3
3 2 2
4 0 4
...

correct output
0
0
0
0
0
...

user output
0
0
0
0
0
...

Test 2

Group: 2, 3, 4, 5

Verdict: ACCEPTED

input
284
6 1 0
5 0 2
7 1 5
7 7 5
...

correct output
0
0
35280
0
36720
...

user output
0
0
35280
0
36720
...

Test 3

Group: 3, 4, 5

Verdict: ACCEPTED

input
841
19 3 12
19 19 13
19 7 13
20 11 15
...

correct output
40291066
0
0
0
0
...

user output
40291066
0
0
0
0
...

Test 4

Group: 4, 5

Verdict:

input
1000
15 12 6
7 1 6
44 4 26
6 6 5
...

correct output
0
5040
494558320
0
340694548
...

user output
0
5040
494558320
0
340694548
...

Test 5

Group: 5

Verdict:

input
1000
892 638 599
966 429 655
1353 576 1140
1403 381 910
...

correct output
0
0
0
249098285
0
...

user output
(empty)

Test 6

Group: 5

Verdict:

input
1000
2000 1107 508
2000 1372 249
2000 588 65
2000 1739 78
...

correct output
750840601
678722180
744501884
159164549
868115056
...

user output
(empty)