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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#213543#2715. 8.4t4WZRYWZWY100547ms87636kbC++111.2kb2024-11-12 20:30:242024-11-12 23:30:59

answer

#include <cstdio>//https://qoj.ac/submission/312333
using namespace std;
int read(){
	char c=getchar();int x=0;
	while(c<48||c>57) c=getchar();
	do x=(x<<1)+(x<<3)+(c^48),c=getchar();
	while(c>=48&&c<=57);
	return x;
}
int n;
const int N=5003,P=1000000007;
typedef long long ll;
int hd[N],ver[N<<1],nxt[N<<1],tot;
void add(int u,int v){nxt[++tot]=hd[u];hd[u]=tot;ver[tot]=v;}
int f[N][N];
int sz[N],tmp[N];
void inc(int &x,int v){if((x+=v)>=P) x-=P;}
int C[N][N];
void dfs(int u,int fa){
	sz[u]=1;
	f[u][1]=1;
	for(int i=hd[u];i;i=nxt[i]){
		int v=ver[i];
		if(v==fa) continue;
		dfs(v,u);
		for(int t=sz[v];~t;--t) inc(f[v][t],f[v][t+1]);
		for(int t=1;t<=sz[u];++t) tmp[t]=f[u][t],f[u][t]=0;
		for(int a=1;a<=sz[u];++a)
			for(int b=0;b<=sz[v];++b)
				f[u][a+b]=(f[u][a+b]+(ll)tmp[a]*f[v][b]%P*C[a+b-1][b])%P;
		sz[u]+=sz[v];
	}
}
int main(){
	n=read();
	for(int i=1;i<n;++i){
		int u=read(),v=read();
		add(u,v);add(v,u);
	}
	for(int i=0;i<=n;++i){
		C[i][0]=1;
		for(int j=1;j<=i;++j){
			C[i][j]=C[i-1][j-1]+C[i-1][j];
			if(C[i][j]>=P) C[i][j]-=P;
		}
	}
	dfs(1,0);
	int res=0;
	for(int i=1;i<=n;++i) inc(res,f[1][i]);
	printf("%d\n",res);
	return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 0ms
memory: 572kb

input:

10
1 2
1 3
3 4
3 5
3 6
3 7
1 8
5 9
5 10

output:

227506

result:

ok found '227506.00000', expected '227506.00000', error '0.00000'

Test #2:

score: 10
Accepted
time: 0ms
memory: 572kb

input:

10
1 2
1 3
3 4
4 5
5 6
4 7
5 8
8 9
8 10

output:

70140

result:

ok found '70140.00000', expected '70140.00000', error '0.00000'

Test #3:

score: 10
Accepted
time: 0ms
memory: 1304kb

input:

100
1 2
1 3
1 4
3 5
5 6
4 7
7 8
8 9
8 10
3 11
7 12
1 13
5 14
8 15
10 16
7 17
1 18
6 19
10 20
15 21
7...

output:

875072841

result:

ok found '875072841.00000', expected '875072841.00000', error '0.00000'

Test #4:

score: 10
Accepted
time: 0ms
memory: 1308kb

input:

100
1 2
2 3
3 4
4 5
4 6
6 7
5 8
8 9
8 10
1 11
6 12
4 13
9 14
13 15
7 16
3 17
15 18
17 19
9 20
8 21
4...

output:

706867541

result:

ok found '706867541.00000', expected '706867541.00000', error '0.00000'

Test #5:

score: 10
Accepted
time: 0ms
memory: 1312kb

input:

100
1 2
2 3
3 4
2 5
2 6
5 7
2 8
4 9
7 10
5 11
11 12
6 13
8 14
13 15
5 16
11 17
16 18
11 19
7 20
19 2...

output:

515055734

result:

ok found '515055734.00000', expected '515055734.00000', error '0.00000'

Test #6:

score: 10
Accepted
time: 3ms
memory: 4996kb

input:

500
1 2
1 3
3 4
3 5
5 6
1 7
3 8
8 9
4 10
6 11
7 12
2 13
11 14
8 15
7 16
9 17
2 18
3 19
15 20
2 21
20...

output:

28964814

result:

ok found '28964814.00000', expected '28964814.00000', error '0.00000'

Test #7:

score: 10
Accepted
time: 3ms
memory: 4988kb

input:

500
1 2
1 3
1 4
2 5
5 6
5 7
4 8
8 9
1 10
4 11
8 12
6 13
13 14
13 15
12 16
1 17
10 18
13 19
1 20
1 21...

output:

900482908

result:

ok found '900482908.00000', expected '900482908.00000', error '0.00000'

Test #8:

score: 10
Accepted
time: 167ms
memory: 87636kb

input:

5000
1 2
1 3
1 4
3 5
3 6
5 7
4 8
4 9
1 10
5 11
6 12
10 13
12 14
14 15
12 16
8 17
14 18
9 19
8 20
20 ...

output:

255910011

result:

ok found '255910011.00000', expected '255910011.00000', error '0.00000'

Test #9:

score: 10
Accepted
time: 208ms
memory: 87636kb

input:

5000
1 2
1 3
1 4
2 5
1 6
5 7
2 8
5 9
4 10
9 11
10 12
8 13
7 14
13 15
12 16
5 17
9 18
8 19
3 20
4 21
...

output:

506490313

result:

ok found '506490313.00000', expected '506490313.00000', error '0.00000'

Test #10:

score: 10
Accepted
time: 166ms
memory: 87580kb

input:

5000
1 2
1 3
1 4
4 5
4 6
3 7
2 8
8 9
6 10
9 11
3 12
3 13
7 14
13 15
4 16
10 17
9 18
10 19
5 20
17 21...

output:

738067707

result:

ok found '738067707.00000', expected '738067707.00000', error '0.00000'