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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#778434#6137. Sub-cycle Graph999#AC ✓171ms6224kbC++141020b2024-11-24 14:36:322024-11-24 14:36:32

Judging History

你现在查看的是最新测评结果

  • [2024-11-24 14:36:32]
  • 评测
  • 测评结果:AC
  • 用时:171ms
  • 内存:6224kb
  • [2024-11-24 14:36:32]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
#define M 200005
#define P 1000000007
#define ll long long
int a[M],fc[M],inv[M],pw[M];
int C(int n,int m){
	return 1ll*fc[n]*inv[m]%P*inv[n-m]%P;
}
void solve(){
	int n,m;
	scanf("%d%d",&n,&m);
	if(m>n)puts("0");
	else{
		int ans=0;
		if(m==0)puts("1");
		else if(m==n){
			if(n<=2)puts("0");
			printf("%d\n",1ll*fc[n-1]*pw[1]%P);
		}
		else{
			for(int i=2;i<=2*m&&i<=n;i+=2){
				int d2=(2*m-i)/2,d0=n-i-d2,tp=1;
				if(d0>=0){
					tp=1ll*tp*C(n,i)%P*C(n-i,d2)%P;
					tp=1ll*tp*C(i,i/2)%P*fc[i/2]%P*pw[i/2]%P;
					tp=1ll*tp*fc[d2]%P*C(d2+i/2-1,i/2-1)%P;
					ans=(ans+tp)%P;
				}
			}
			printf("%d\n",ans);
		}
	}
}
int main(){
	fc[0]=fc[1]=inv[0]=inv[1]=1;
	for(int i=2;i<M;++i)fc[i]=1ll*i*fc[i-1]%P;
	for(int i=2;i<M;++i)inv[i]=(P-1ll*P/i)*inv[P%i]%P;
	pw[0]=1;pw[1]=inv[2];
	for(int i=2;i<M;++i)pw[i]=1ll*pw[1]*pw[i-1]%P;
	for(int i=2;i<M;++i)inv[i]=1ll*inv[i-1]*inv[i]%P;
	int t;
	scanf("%d",&t);
	while(t--)solve();
}

Details

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Test #1:

score: 100
Accepted
time: 5ms
memory: 6224kb

input:

3
4 2
4 3
5 3

output:

15
12
90

result:

ok 3 number(s): "15 12 90"

Test #2:

score: 0
Accepted
time: 171ms
memory: 6208kb

input:

17446
3 0
3 1
3 2
3 3
4 0
4 1
4 2
4 3
4 4
5 0
5 1
5 2
5 3
5 4
5 5
6 0
6 1
6 2
6 3
6 4
6 5
6 6
7 0
7 1
7 2
7 3
7 4
7 5
7 6
7 7
8 0
8 1
8 2
8 3
8 4
8 5
8 6
8 7
8 8
9 0
9 1
9 2
9 3
9 4
9 5
9 6
9 7
9 8
9 9
10 0
10 1
10 2
10 3
10 4
10 5
10 6
10 7
10 8
10 9
10 10
11 0
11 1
11 2
11 3
11 4
11 5
11 6
11 7
11...

output:

1
3
3
1
1
6
15
12
3
1
10
45
90
60
12
1
15
105
375
630
360
60
1
21
210
1155
3465
5040
2520
360
1
28
378
2940
13545
35280
45360
20160
2520
1
36
630
6552
42525
170100
393120
453600
181440
20160
1
45
990
13230
114345
643545
2286900
4762800
4989600
1814400
181440
1
55
1485
24750
273735
2047815
10239075
3...

result:

ok 17446 numbers