oj.uz

Submission #789284

# Submission time Handle Problem Language Result Execution time Memory
789284 2023-07-21T08:52:32 Z MISM06 Sumtree (INOI20_sumtree) C++17
10 / 100
 726 ms 85416 KB 
//0 1 1 0 1
//0 1 0 0 1
//1 0 0 1 1
//0 1 1 0 1
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")
// #pragma GCC target("avx2")

using namespace std;

#define F 			first
#define S 			second
#define pb 			push_back
#define sze			size()
#define	all(x)		x.begin() , x.end()
#define wall__		cout << "--------------------------------------\n";
#define kids		int mid = (tl + tr) >> 1, cl = v << 1, cr = v << 1 | 1
#define file_io		freopen("input.cpp", "r", stdin); freopen("output.cpp", "w", stdout);

typedef long long ll;
typedef long double dl;
typedef pair < int , int > pii;
typedef pair < int , ll > pil;
typedef pair < ll , int > pli;
typedef pair < ll , ll > pll;
typedef pair < int , pii > piii;
typedef pair < ll, pll > plll;


const ll N = 5e5 + 10, M = 6e5 + 10;
const ll mod = 1e9 + 7;
const ll inf = 2e16;
const ll INF = 1e9 + 10;
const ll lg = 32;

ll fac[M], inv[M];
inline void add (ll &x, ll y) {
	x += y; if (x >= mod) x -= mod;
	if (x < 0) x += mod;
}
inline ll Sum (ll x, ll y) {
	x += y; if (x >= mod) x -= mod;
	if (x < 0) x += mod;
	return x;
}
inline ll mul (ll x, ll y) {
	x *= y; x %= mod; if (x < 0) x+= mod;
	return x;
}
inline ll pw (ll x, ll y) {
	ll res = 1;
	while(y) {
		if (y & 1) res = mul(res, x);
		x = mul(x, x);
		y >>= 1;
	}
	return res;
}
inline ll choose (ll x, ll y) {
	if (x < y || y < 0) return 0;
	return mul(fac[x], mul(inv[y], inv[x - y]));
}

ll n, chp[N], par[N], hv[N], h[N], sub[N], ANS;
ll a[N], st[N], en[N], timer = 0, ct[N], rs[N], c0;
set < pii > s[N];
vector < int > g[N];

struct fen {
	ll bit[N];
	fen () {
		fill(bit, bit + N, 0);
	}
	inline ll read (int idx) {
		ll res = 0;
		for (; idx > 0; idx -= (idx & -idx)) res += bit[idx];
		return res;
	}
	inline void upd (int idx, ll val) {
		for (; idx <= n; idx += (idx & -idx)) 
			bit[idx] += val;
	}
	inline ll range (int l, int r) {
		return read(r) - read(l - 1);
	}
} f1, f2;
void dfs0 (int v, int p) {
	par[v] = p;
	h[v] = h[p] + 1;
	st[v] = ++timer;
	sub[v] = 1;
	for (auto u : g[v]) {
		if (u == p) continue;
		dfs0(u, v);
		sub[v] += sub[u];
		if (sub[u] > sub[hv[v]]) hv[v] = u;
	}
	en[v] = timer;
}
void dfs (int v, int p) {
	for (auto u : g[v]) {
		if (u == p) continue;
		if (hv[v] == u) chp[u] = chp[v];
		else chp[u] = u;
		dfs(u, v);
	}
}
void out () {
	if (c0 > 0) cout << 0 << '\n';
	else cout << ANS << '\n';
}
int find_par (int v) {
	int p = chp[v];
	while (s[p].lower_bound({h[v], 0}) == s[p].begin() || s[p].sze == 0) {
		p = chp[par[p]];
	}
	auto it = s[p].lower_bound(make_pair(h[v], 0));
	--it;
	pii x = *it;
	return x.S;
}
void solve () {

	cin >> n >> a[1];
	for (int i = 1; i < n; i++) {
		int v, u; cin >> v >> u;
		g[v].pb(u); g[u].pb(v);
	}
	chp[1] = 1;
	dfs0(1, 0);
	dfs(1, 0);
	ct[1] = n; f1.upd(st[1], n); f2.upd(st[1], a[1]);
	fill(rs, rs + N, -1);
	rs[1] = choose(a[1] + ct[1] - 1, ct[1] - 1);
	ANS = rs[1];
	s[chp[1]].insert({h[1], 1});
	out();
	int q; cin >> q;
	while (q--) {
		int t; cin >> t;
		if (t == 1) {
			int v, x; cin >> v >> x;
			ct[v] = sub[v] - f1.range(st[v], en[v]);
			f1.upd(st[v], ct[v]);
			a[v] = x - f2.range(st[v], en[v]);
			f2.upd(st[v], a[v]);
			rs[v] = choose(a[v] + ct[v] - 1, ct[v] - 1);
			if (rs[v] == 0) ++c0;
			else ANS = mul(ANS, rs[v]);
			s[chp[v]].insert({h[v], v});
			// cout << v << " : " << ct[v] << " , " << a[v] << " = " << rs[v] << '\n';
			int p = find_par(v);
			ct[p] -= ct[v];
			f1.upd(st[p], -ct[v]);
			a[p] -= a[v];
			f2.upd(st[p], -a[v]);
			if (rs[p] == 0) --c0;
			else ANS = mul(ANS, pw(rs[p], mod - 2));
			rs[p] = choose(a[p] + ct[p] - 1, ct[p] - 1);
			// cout << p << " : " << ct[p] << " , " << a[p] << " = " << rs[p] << '\n';
			if (rs[p] == 0) ++c0;
			else ANS = mul(ANS, rs[p]);
			out();
		} else {
			int v; cin >> v;
			f1.upd(st[v], -ct[v]);
			f2.upd(st[v], -a[v]);
			if (rs[v] == 0) --c0;
			else ANS = mul(ANS, pw(rs[v], mod - 2));
			s[chp[v]].erase({h[v], v});
			
			int p = find_par(v);
			ct[p] += ct[v];
			f1.upd(st[p], ct[v]);
			a[p] += a[v];
			f2.upd(st[p], a[v]);
			if (rs[p] == 0) --c0;
			else ANS = mul(ANS, pw(rs[p], mod - 2));
			rs[p] = choose(a[p] + ct[p] - 1, ct[p] - 1);
			if (rs[p] == 0) ++c0;
			else ANS = mul(ANS, rs[p]);
			out();
		}
	}


}


int main() {
	// ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	fac[0] = 1;
	for (int i = 1; i < M; i++) fac[i] = mul(fac[i - 1], i);
	inv[M - 1] = pw(fac[M - 1], mod - 2);
	for (int i = M - 2; i >= 0; --i) inv[i] = mul(inv[i + 1], i + 1);
	int t = 1;
	// cin >> t;
	while (t--) {solve();}
    return 0;
}
/*
10 10
1 2
2 4
2 5
5 7
5 8
1 3
3 6
6 9
6 10
13
1 2 10
1 5 10
1 7 10
1 8 0
2 2
1 2 0
2 7
2 2
1 7 0
2 7
1 7 3
2 8
2 5


92378
1001
66
1
1
1
0
0
11
1
11
1
8
6435
*/
/*
10 10
1 2
2 4
2 5
5 7
5 8
1 3
3 6
6 9
6 10
1
1 7 3
*/
//shrek is love;

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 81884 KB Output is correct
2 Correct 184 ms 81860 KB Output is correct
3 Correct 191 ms 81860 KB Output is correct
4 Correct 183 ms 81844 KB Output is correct
5 Correct 199 ms 78048 KB Output is correct
6 Correct 31 ms 57160 KB Output is correct
7 Correct 27 ms 56920 KB Output is correct
8 Correct 27 ms 57052 KB Output is correct
9 Correct 198 ms 74196 KB Output is correct
10 Correct 178 ms 74140 KB Output is correct
11 Correct 174 ms 74212 KB Output is correct
12 Correct 162 ms 73336 KB Output is correct
13 Correct 152 ms 80112 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 56648 KB Output is correct
2 Incorrect 29 ms 56652 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 211 ms 84620 KB Output is correct
2 Incorrect 245 ms 85416 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 726 ms 77976 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 167 ms 81884 KB Output is correct
2 Correct 184 ms 81860 KB Output is correct
3 Correct 191 ms 81860 KB Output is correct
4 Correct 183 ms 81844 KB Output is correct
5 Correct 199 ms 78048 KB Output is correct
6 Correct 31 ms 57160 KB Output is correct
7 Correct 27 ms 56920 KB Output is correct
8 Correct 27 ms 57052 KB Output is correct
9 Correct 198 ms 74196 KB Output is correct
10 Correct 178 ms 74140 KB Output is correct
11 Correct 174 ms 74212 KB Output is correct
12 Correct 162 ms 73336 KB Output is correct
13 Correct 152 ms 80112 KB Output is correct
14 Correct 29 ms 56648 KB Output is correct
15 Incorrect 29 ms 56652 KB Output isn't correct
16 Halted 0 ms 0 KB -