oj.uz

Submission #789200

# Submission time Handle Problem Language Result Execution time Memory
789200 2023-07-21T07:33:22 Z MISM06 Sumtree (INOI20_sumtree) C++14
10 / 100
 324 ms 58256 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 = 2e5 + 10, M = 5e5 + 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] + 1, 0}) == s[p].end()) {
		p = chp[par[p]];
	}
	pii x = *s[p].lower_bound(make_pair(-h[v] + 1, 0));
	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]);

			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]);
			s[chp[v]].insert({-h[v], v});
			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;
}
/*
*/
//shrek is love;

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 52044 KB Output is correct
2 Correct 113 ms 52152 KB Output is correct
3 Correct 142 ms 52140 KB Output is correct
4 Correct 150 ms 52044 KB Output is correct
5 Correct 95 ms 48196 KB Output is correct
6 Correct 19 ms 27440 KB Output is correct
7 Correct 16 ms 27220 KB Output is correct
8 Correct 17 ms 27220 KB Output is correct
9 Correct 161 ms 44528 KB Output is correct
10 Correct 120 ms 44472 KB Output is correct
11 Correct 124 ms 44500 KB Output is correct
12 Correct 138 ms 43600 KB Output is correct
13 Correct 155 ms 50428 KB Output is correct

Subtask #2
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 26964 KB Output is correct
2 Incorrect 16 ms 26888 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #3
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 171 ms 54900 KB Output is correct
2 Incorrect 187 ms 58256 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 324 ms 50056 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 52044 KB Output is correct
2 Correct 113 ms 52152 KB Output is correct
3 Correct 142 ms 52140 KB Output is correct
4 Correct 150 ms 52044 KB Output is correct
5 Correct 95 ms 48196 KB Output is correct
6 Correct 19 ms 27440 KB Output is correct
7 Correct 16 ms 27220 KB Output is correct
8 Correct 17 ms 27220 KB Output is correct
9 Correct 161 ms 44528 KB Output is correct
10 Correct 120 ms 44472 KB Output is correct
11 Correct 124 ms 44500 KB Output is correct
12 Correct 138 ms 43600 KB Output is correct
13 Correct 155 ms 50428 KB Output is correct
14 Correct 16 ms 26964 KB Output is correct
15 Incorrect 16 ms 26888 KB Output isn't correct
16 Halted 0 ms 0 KB -