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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#88115#5357. 芒果冰加了空气Walking_Dead5 89ms71068kbC++142.0kb2023-03-15 10:52:242023-03-15 10:52:33

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-03-15 10:52:33]
  • 评测
  • 测评结果:5
  • 用时:89ms
  • 内存:71068kb
  • [2023-03-15 10:52:24]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define mod 1000000009
#define MAXN 5005

template <typename T> inline void read (T &t){t = 0;char c = getchar();int f = 1;while (c < '0' || c > '9'){if (c == '-') f = -f;c = getchar();}while (c >= '0' && c <= '9'){t = (t << 3) + (t << 1) + c - '0';c = getchar();} t *= f;}
template <typename T,typename ... Args> inline void read (T &t,Args&... args){read (t);read (args...);}
template <typename T> inline void write (T x){if (x < 0){x = -x;putchar ('-');}if (x > 9) write (x / 10);putchar (x % 10 + '0');}
template <typename T> inline void chkmax (T &a,T b){a = max (a,b);}
template <typename T> inline void chkmin (T &a,T b){a = min (a,b);}

vector <int> g[MAXN];
int n,siz[MAXN],tmp[MAXN],fac[MAXN],ifac[MAXN],f[MAXN][MAXN];
int mul (int a,int b){return 1ll * a * b % mod;}
int dec (int a,int b){return a >= b ? a - b : a + mod - b;}
int add (int a,int b){return a + b >= mod ? a + b - mod : a + b;}
int qkpow (int a,int b){
	int res = 1;for (;b;b >>= 1,a = mul (a,a)) if (b & 1) res = mul (res,a);
	return res;
}
void Add (int &a,int b){a = add (a,b);}
void Sub (int &a,int b){a = dec (a,b);}
int binom (int a,int b){return a >= b ? mul (fac[a],mul (ifac[b],ifac[a - b])) : 0;}

void dfs (int u,int fa){
	siz[u] = 1,f[u][1] = 1;
	for (int v : g[u]) if (v ^ fa){
		dfs (v,u),memset (tmp,0,sizeof (tmp));
		for (int i = siz[v] - 1;~i;-- i) Add (f[v][i],f[v][i + 1]);
		for (int i = 1;i <= siz[u];++ i)
			for (int j = 0;j <= siz[v];++ j)
				Add (tmp[i + j],mul (binom (i + j - 1,i - 1),mul (f[u][i],f[v][j])));
		siz[u] += siz[v];
		for (int i = 1;i <= siz[u];++ i) f[u][i] = tmp[i];
	}
}

signed main(){
	read (n);
	fac[0] = 1;for (int i = 1;i <= n;++ i) fac[i] = mul (fac[i - 1],i);
	ifac[n] = qkpow (fac[n],mod - 2);for (int i = n;i;-- i) ifac[i - 1] = mul (ifac[i],i);
	for (int i = 2,u,v;i <= n;++ i) read (u,v),g[u].push_back (v),g[v].push_back (u);
	dfs (1,0);int ans = 0;for (int i = 1;i <= n;++ i) Add (ans,f[1][i]);
	write (ans),putchar ('\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: 2ms
memory: 3680kb

input:

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

output:

310862

result:

ok single line: '310862'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3572kb

input:

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

output:

64804

result:

ok single line: '64804'

Test #3:

score: 0
Accepted
time: 2ms
memory: 3564kb

input:

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

output:

258182

result:

ok single line: '258182'

Test #4:

score: 0
Accepted
time: 2ms
memory: 3692kb

input:

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

output:

16796

result:

ok single line: '16796'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3548kb

input:

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

output:

78384

result:

ok single line: '78384'

Test #6:

score: 0
Accepted
time: 2ms
memory: 3704kb

input:

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

output:

38896

result:

ok single line: '38896'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3468kb

input:

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

output:

609656

result:

ok single line: '609656'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3548kb

input:

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

output:

64804

result:

ok single line: '64804'

Test #9:

score: 0
Accepted
time: 3ms
memory: 3572kb

input:

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

output:

118638

result:

ok single line: '118638'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3412kb

input:

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

output:

22438

result:

ok single line: '22438'

Test #11:

score: 0
Accepted
time: 1ms
memory: 3700kb

input:

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

output:

16796

result:

ok single line: '16796'

Test #12:

score: 0
Accepted
time: 0ms
memory: 3712kb

input:

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

output:

82316

result:

ok single line: '82316'

Test #13:

score: 0
Accepted
time: 0ms
memory: 3692kb

input:

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

output:

13700

result:

ok single line: '13700'

Test #14:

score: 0
Accepted
time: 2ms
memory: 3696kb

input:

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

output:

3996

result:

ok single line: '3996'

Test #15:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

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

output:

3490

result:

ok single line: '3490'

Test #16:

score: 0
Accepted
time: 2ms
memory: 3620kb

input:

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

output:

1430

result:

ok single line: '1430'

Test #17:

score: 0
Accepted
time: 2ms
memory: 3676kb

input:

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

output:

1430

result:

ok single line: '1430'

Test #18:

score: 0
Accepted
time: 2ms
memory: 3460kb

input:

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

output:

3232

result:

ok single line: '3232'

Test #19:

score: 0
Accepted
time: 2ms
memory: 3456kb

input:

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

output:

8970

result:

ok single line: '8970'

Test #20:

score: 0
Accepted
time: 2ms
memory: 3508kb

input:

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

output:

3996

result:

ok single line: '3996'

Test #21:

score: 0
Accepted
time: 2ms
memory: 3692kb

input:

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

output:

3332

result:

ok single line: '3332'

Test #22:

score: 0
Accepted
time: 2ms
memory: 3524kb

input:

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

output:

1870

result:

ok single line: '1870'

Test #23:

score: 0
Accepted
time: 2ms
memory: 3680kb

input:

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

output:

2416

result:

ok single line: '2416'

Test #24:

score: 0
Accepted
time: 2ms
memory: 3404kb

input:

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

output:

2802

result:

ok single line: '2802'

Test #25:

score: 0
Accepted
time: 2ms
memory: 3516kb

input:

3
1 2
2 3

output:

5

result:

ok single line: '5'

Test #26:

score: 0
Accepted
time: 2ms
memory: 3576kb

input:

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

output:

78904

result:

ok single line: '78904'

Subtask #2:

score: 0
Wrong Answer

Test #27:

score: 0
Wrong Answer
time: 89ms
memory: 71068kb

input:

5000
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
20 21
21 22
22 23
23 24
24 25
25 26
26 27
27 28
28 29
29 30
30 31
31 32
32 33
33 34
34 35
35 36
36 37
37 38
38 39
39 40
40 41
41 42
42 43
43 44
44 45
45 46
46 47
47 48
48 49
49 50
50 51
51 52
52 53
...

output:

494088057

result:

wrong answer 1st lines differ - expected: '138172849', found: '494088057'

Subtask #3:

score: 0
Wrong Answer

Dependency #1:

100%
Accepted

Test #37:

score: 0
Wrong Answer
time: 2ms
memory: 3576kb

input:

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

output:

85350962

result:

wrong answer 1st lines differ - expected: '85351498', found: '85350962'

Subtask #4:

score: 0
Skipped

Dependency #3:

0%

Subtask #5:

score: 0
Skipped

Dependency #4:

0%

Subtask #6:

score: 0
Skipped

Dependency #5:

0%