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Submission #999053

# Submission time Handle Problem Language Result Execution time Memory
999053 2024-06-15T05:46:25 Z vjudge1 Sumtree (INOI20_sumtree) C++17
30 / 100
 3000 ms 72276 KB 
#include <bits/stdc++.h>

using namespace std;

#define int long long

const int MXN = 1e6 + 5;
const int mod = 1e9 + 7;

int n, r;
vector<int> adj[MXN];
int f[MXN], tag[MXN], sum[MXN], x[MXN], delsz[MXN], sz[MXN], del[MXN];

int pw(int a, int b, int c)
{
	a %= c;
	int res = 1;
	while (b)
	{
		if (b & 1) res = (res * a) % mod;
		a = (a * a) % mod;
		b >>= 1;
	}
	return res;
}

int nck(int n, int k)
{
	if (min(n, k) < 0 || k > n) return 0;
	return (f[n] * pw((f[n - k] * f[k]) % mod, mod - 2, mod)) % mod;
}

void dfs(int a, int p)
{
	sz[a] = 1, delsz[a] = 0;
	sum[a] = 0;
	for (int &v : adj[a])
	{
		if (v == p) continue;
		dfs(v, a);
		sum[a] += sum[v];
		sz[a] += sz[v];
		delsz[a] += delsz[v];
 	}
	x[a] = sum[a];
	if (tag[a] != -1) 
	{
		sum[a] = tag[a];
		del[a] = delsz[a];
		delsz[a] = sz[a];
	}
}

int calc()
{
	int res = 1;
	for (int i = 1; i <= n; i++)
	{
		if (tag[i] == -1) continue;
		if (x[i] > tag[i]) return 0;
		res = (res * nck(sz[i] - del[i] - 1 + tag[i] - x[i], tag[i] - x[i])) % mod;
	}
	return res;
}

signed main()
{
	ios::sync_with_stdio(0);
	cin.tie(0);
	f[0] = 1;
	for (int i = 1; i < MXN; i++) 
	{
		f[i] = (f[i - 1] * i) % mod;
		tag[i] = -1;
	}
	cin >> n >> r;
	tag[1] = r;
	for (int i = 1; i < n; i++)
	{
		int u, v;
		cin >> u >> v;
		adj[u].push_back(v);
		adj[v].push_back(u);
	}
	int q;
	cin >> q;
	dfs(1, 1);
	cout << calc() << '\n';
	while (q--)
	{
		int t;
		cin >> t;
		if (t == 1)
		{
			int u, v;
			cin >> u >> v;
			tag[u] = v;
		}
		else
		{
			int u;
			cin >> u;
			tag[u] = -1;
		}
		dfs(1, 1);
		cout << calc() << '\n';
	}
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 70992 KB Output is correct
2 Correct 72 ms 70884 KB Output is correct
3 Correct 77 ms 70992 KB Output is correct
4 Correct 78 ms 70992 KB Output is correct
5 Correct 65 ms 66124 KB Output is correct
6 Correct 12 ms 50012 KB Output is correct
7 Correct 12 ms 49756 KB Output is correct
8 Correct 12 ms 49756 KB Output is correct
9 Correct 67 ms 63360 KB Output is correct
10 Correct 72 ms 63316 KB Output is correct
11 Correct 68 ms 63312 KB Output is correct
12 Correct 62 ms 63060 KB Output is correct
13 Correct 70 ms 70148 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 49756 KB Output is correct
2 Correct 11 ms 49756 KB Output is correct
3 Correct 11 ms 49756 KB Output is correct
4 Correct 12 ms 49616 KB Output is correct
5 Correct 29 ms 49876 KB Output is correct
6 Correct 214 ms 49756 KB Output is correct
7 Correct 170 ms 49756 KB Output is correct
8 Correct 168 ms 49944 KB Output is correct
9 Correct 296 ms 50032 KB Output is correct
10 Correct 318 ms 50008 KB Output is correct
11 Correct 303 ms 50008 KB Output is correct
12 Correct 22 ms 50008 KB Output is correct
13 Correct 303 ms 50008 KB Output is correct
14 Correct 303 ms 50008 KB Output is correct
15 Correct 322 ms 50480 KB Output is correct
16 Correct 296 ms 50012 KB Output is correct
17 Correct 297 ms 50012 KB Output is correct
18 Correct 220 ms 49984 KB Output is correct
19 Correct 288 ms 50028 KB Output is correct
20 Correct 46 ms 49752 KB Output is correct
21 Correct 47 ms 49756 KB Output is correct
22 Correct 13 ms 49756 KB Output is correct

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3065 ms 72276 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3026 ms 65536 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 70992 KB Output is correct
2 Correct 72 ms 70884 KB Output is correct
3 Correct 77 ms 70992 KB Output is correct
4 Correct 78 ms 70992 KB Output is correct
5 Correct 65 ms 66124 KB Output is correct
6 Correct 12 ms 50012 KB Output is correct
7 Correct 12 ms 49756 KB Output is correct
8 Correct 12 ms 49756 KB Output is correct
9 Correct 67 ms 63360 KB Output is correct
10 Correct 72 ms 63316 KB Output is correct
11 Correct 68 ms 63312 KB Output is correct
12 Correct 62 ms 63060 KB Output is correct
13 Correct 70 ms 70148 KB Output is correct
14 Correct 11 ms 49756 KB Output is correct
15 Correct 11 ms 49756 KB Output is correct
16 Correct 11 ms 49756 KB Output is correct
17 Correct 12 ms 49616 KB Output is correct
18 Correct 29 ms 49876 KB Output is correct
19 Correct 214 ms 49756 KB Output is correct
20 Correct 170 ms 49756 KB Output is correct
21 Correct 168 ms 49944 KB Output is correct
22 Correct 296 ms 50032 KB Output is correct
23 Correct 318 ms 50008 KB Output is correct
24 Correct 303 ms 50008 KB Output is correct
25 Correct 22 ms 50008 KB Output is correct
26 Correct 303 ms 50008 KB Output is correct
27 Correct 303 ms 50008 KB Output is correct
28 Correct 322 ms 50480 KB Output is correct
29 Correct 296 ms 50012 KB Output is correct
30 Correct 297 ms 50012 KB Output is correct
31 Correct 220 ms 49984 KB Output is correct
32 Correct 288 ms 50028 KB Output is correct
33 Correct 46 ms 49752 KB Output is correct
34 Correct 47 ms 49756 KB Output is correct
35 Correct 13 ms 49756 KB Output is correct
36 Execution timed out 3065 ms 72276 KB Time limit exceeded
37 Halted 0 ms 0 KB -