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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#213630#2715. 8.4t41811260623170761ms138556kbC++111.8kb2024-11-12 22:08:162024-11-12 23:59:01

answer

#include <bits/stdc++.h>
#define int long long
#define MOD 1000000007
using namespace std;
int read()
{
    int x = 0, f = 1;
    char ch = getchar();
    while (ch < '0' || ch > '9')
    {
        if (ch == '-')
            f = -1;
        ch = getchar();
    }
    while (ch >= '0' && ch <= '9')
    {
        x = (x << 1) + (x << 3) + (ch ^ 48);
        ch = getchar();
    }
    return x * f;
}
int n, u, v, dp[5001][5001], dpp[5001], C[5001][5001], sz[5001], pos, head[10001];
struct edge
{
    int u, v, next;
} e[10001];
void addedge(int u, int v)
{
    e[++pos] = {u, v, head[u]};
    head[u] = pos;
}
void dfs(int u, int fa)
{
    dp[u][1] = 1;
    sz[u] = 1;
    for (int i = head[u]; i; i = e[i].next)
    {
        int v = e[i].v;
        if (v == fa)
            continue;
        dfs(v, u);
        for (int j = 1; j <= sz[u]; j++)
        {
            if (dp[u][j])
            {
                for (int k = j; k <= j + sz[v]; k++)
                {
                    dpp[k] = (dpp[k] + ((dp[u][j] * dp[v][k - j] % MOD) * C[k - 1][j - 1] % MOD)) % MOD;
                }
            }
        }
        sz[u] += sz[v];
        for (int j = 1; j <= sz[u]; j++)
        {
            dp[u][j] = dpp[j];
            dpp[j] = 0;
        }
    }
    for (int j = sz[u]; j >= 0; j--)
    {
        dp[u][j] = (dp[u][j] + dp[u][j + 1]) % MOD;
    }
}
signed main()
{
    n = read();
    for (int i = 1; i < n; i++)
    {
        u = read();
        v = read();
        addedge(u, v);
        addedge(v, u);
    }
    C[0][0] = 1;
    for (int i = 1; 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]) % MOD;
        }
    }
    dfs(1, 0);
    printf("%lld\n", dp[1][0] % MOD);
}

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: 1248kb

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: 1252kb

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: 2020kb

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: 2020kb

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: 2024kb

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: 0ms
memory: 6220kb

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: 4ms
memory: 6200kb

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: 0
Wrong Answer
time: 216ms
memory: 138548kb

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:

96015670

result:

wrong answer 1st numbers differ - expected: '255910011.00000', found: '96015670.00000', error = '0.6...

Test #9:

score: 0
Wrong Answer
time: 226ms
memory: 138556kb

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:

608935665

result:

wrong answer 1st numbers differ - expected: '506490313.00000', found: '608935665.00000', error = '0....

Test #10:

score: 0
Wrong Answer
time: 315ms
memory: 138488kb

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:

34752823

result:

wrong answer 1st numbers differ - expected: '738067707.00000', found: '34752823.00000', error = '0.9...