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Submission #469880

# Submission time Handle Problem Language Result Execution time Memory
469880 2021-09-02T08:27:56 Z MohammadParsaElahimanesh Sumtree (INOI20_sumtree) C++14
10 / 100
 3000 ms 87612 KB 
/// In the name of Allah

#include <bits/stdc++.h>

using namespace std;

#define Fast ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define RFOR(i,a) for(int i = a-1; i >= 0; i--)
#define FOR(i,a) for(int i = 0; i < a; i++)
#define se second
#define fi first
#define sz(x) (int)x.size()
#define upp upper_bound
#define low lower_bound
#define pub push_back
#define all(x) x.begin(),x.end()
#define mp make_pair

typedef double ld;
typedef long long ll;
typedef pair<ll,ll> pll;
typedef pair<int,int> pii;

const ll mod = 1'000'000'007;
const int N = 200'000 + 5;
const int Z = 500'000 + 5;
ll F[Z], _F[Z], ans;
int n, r, q, H[N], S[N], dad[N], st[N], en[N], R[N], B[N], tag[N], timer = 1, p = 0, cnt = 0;
set<int> X[N];
vector<int> G[N];

inline ll Pow(ll a, int b)
{
	ll res = 1LL;
	while(b)
	{
		if(b&1)res = res*a%mod;
		b >>= 1;
		a = a*a%mod;
	}
	return res;
}

inline ll inv(int x){return Pow(x,mod-2);}

inline ll C(int x, int y)
{
	if(x > y || x < 0)return 0;
	return F[y]*_F[x]%mod*_F[y-x]%mod;
}

struct fen
{
	int G[N];
	fen(){memset(G,0,sizeof(G));}
	inline void inc(int p, int x)
	{
		while(p < N)
		{
			G[p] += x;
			p += p&-p;
		}
	}
	inline int get(int p)
	{
		int s = 0;
		while(p)
		{
			s += G[p];
			p -= p&-p;
		}
		return s;
	}
}tags, Free;


int dfs_s(int v, int d, int h)
{
	st[v] = timer++;
	H[v] = h;
	dad[v] = d;
	S[v] = 1;
	for(auto u: G[v])if(u != d)S[v] += dfs_s(u,v,h+1);
	en[v] = timer;
	return S[v];
}

void dfs_hld(int v, int top, int nam)
{
	R[v] = nam;
	B[v] = top;
	pii MAX = mp(-1,-2);
	for(auto u: G[v])if(u != dad[v])MAX = max(MAX,mp(S[u],u));
	for(auto u: G[v])if(u != dad[v])
	{
		if(MAX.se == u)dfs_hld(u,top,nam);
		else dfs_hld(u,u,p++);
	}
}

inline int first_up(int v)
{
	auto top = X[R[v]].low(H[v]);
	if(top == X[R[v]].begin())
	{
		v = dad[B[v]];
		return first_up(v);
	}
	else
	{
		top--;
		return *top;
	}
}

inline void upd(int v, int tg, int fs)
{
	int nfs = S[v]-Free.get(en[v]-1)+Free.get(st[v]);
	int ntg = tag[v]-tags.get(en[v]-1)+tags.get(st[v]);
	
	if(C(ntg,nfs+ntg-1) == 0)cnt++;
	else ans = ans*C(ntg,nfs+ntg-1)%mod;
	
	nfs += fs;
	ntg += tg;
	
	if(C(ntg,nfs+ntg-1) == 0)cnt--;
	else ans = ans*inv(C(ntg,nfs+ntg-1))%mod;
}

int main()
{
	Fast
	
	F[0] = 1;
	for(ll i = 1; i < Z; i++)F[i] = i*F[i-1]%mod;
	FOR(i,Z)_F[i] = inv(F[i]);
	
	cin >> n >> r;
	
	int u, v, x, t;
	FOR(i,n-1)
	{
		cin >> u >> v;
		u--; v--;
		G[u].pub(v); G[v].pub(u);
	}
	dfs_s(0,0,0);
	dfs_hld(0,0,p++);
	tag[0] = r;
	X[R[0]].insert(0);
	tags.inc(st[0],r);
	Free.inc(st[0],n);
	ans = C(r,n+r-1);
	cout << ans << '\n';
	
	cin >> q;
	
	FOR(i,q)
	{
		cin >> t;
		if(t == 1)
		{
			cin >> v >> x;
			v--;
			tag[v] = x;
			u = first_up(v);
			
			int fs = S[v]-Free.get(en[v]-1)+Free.get(st[v]);
			int tg = x-tags.get(en[v]-1)+tags.get(st[v]);
			Free.inc(st[v],fs);
			tags.inc(st[v],tg);
			
			if(C(tg,fs+tg-1) == 0)cnt++;
			else ans = (ans*C(tg,fs+tg-1))%mod;
			upd(u,tg,fs);
			X[R[v]].insert(H[v]);
		}
		else
		{
			cin >> v;
			v--;
			return 0;
		}
		
		cout << (cnt?0:ans) << '\n';
	}
	
	return 0;
}

// thank god

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 242 ms 43328 KB Output is correct
2 Correct 265 ms 43300 KB Output is correct
3 Correct 282 ms 43296 KB Output is correct
4 Correct 258 ms 43332 KB Output is correct
5 Correct 229 ms 39360 KB Output is correct
6 Correct 93 ms 24116 KB Output is correct
7 Correct 93 ms 23924 KB Output is correct
8 Correct 92 ms 24020 KB Output is correct
9 Correct 295 ms 35672 KB Output is correct
10 Correct 259 ms 35652 KB Output is correct
11 Correct 248 ms 35692 KB Output is correct
12 Correct 251 ms 35136 KB Output is correct
13 Correct 235 ms 42172 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3091 ms 23736 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Runtime error 325 ms 87612 KB Execution killed with signal 11
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3056 ms 35652 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 242 ms 43328 KB Output is correct
2 Correct 265 ms 43300 KB Output is correct
3 Correct 282 ms 43296 KB Output is correct
4 Correct 258 ms 43332 KB Output is correct
5 Correct 229 ms 39360 KB Output is correct
6 Correct 93 ms 24116 KB Output is correct
7 Correct 93 ms 23924 KB Output is correct
8 Correct 92 ms 24020 KB Output is correct
9 Correct 295 ms 35672 KB Output is correct
10 Correct 259 ms 35652 KB Output is correct
11 Correct 248 ms 35692 KB Output is correct
12 Correct 251 ms 35136 KB Output is correct
13 Correct 235 ms 42172 KB Output is correct
14 Execution timed out 3091 ms 23736 KB Time limit exceeded
15 Halted 0 ms 0 KB -