oj.uz

Submission #464575

# Submission time Handle Problem Language Result Execution time Memory
464575 2021-08-13T12:58:36 Z Return_0 Sumtree (INOI20_sumtree) C++17
100 / 100
 651 ms 70516 KB 
#pragma GCC optimize("Ofast,unroll-loops")
// #pragma comment(linker, "/stack:200000000")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,fma,tune=native")

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

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

#ifdef SINA
#define dbg(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1> void __f(const char* name, Arg1&& arg1) { cout << name << " : " << arg1 << std::endl; }
template <typename Arg1, typename... Args> void __f (const char* names, Arg1&& arg1, Args&&... args) {
	const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...); }
#define dbg2(x, j, n) cout<< #x << " : "; output((j), (n), x, 1); cout.flush();
#else
#define dbg(...) 0
#define dbg2(x, j, n) 0
#endif
#define SZ(x) ((ll)((x).size()))
#define File(s, t) freopen(s ".txt", "r", stdin); freopen(t ".txt", "w", stdout);
#define input(j, n, a) for (int _i = (j); _i < (n)+(j); _i++) cin>> a[_i];
#define output(j, n, a, t) for (int _i = (j); _i < (n)+(j); _i++) cout<< a[_i] << (((t) && _i != (n)+(j)-1)? ' ' : '\n');
#define kill(x) return cout<< (x) << endl, 0
#define cl const ll
#define fr first
#define sc second
#define lc (v << 1)
#define rc (lc | 1)
#define mid ((l + r) >> 1)
#define All(x) (x).begin(), (x).end()

const ll inf = sizeof(ll) == 4 ? (1e9 + 10) : (3e18), mod = 1e9 + 7, MOD = 998244353;

template <class A,class B> ostream& operator << (ostream& out,const pair<A,B>&a){return out<<'('<<a.first<<", "<<a.second<<')';}
template <class A> ostream& operator << (ostream& out, const vector<A> &a) {
	out<< '['; for (int i = -1; ++i < int(a.size());) out<< a[i] << (i + 1 < int(a.size()) ? ", " : ""); return out<<']'; }
template <class T, typename _t = less <T> > using Tree = tree <T, null_type, _t, rb_tree_tag, tree_order_statistics_node_update>;

cl N = 5e5 + 7;

inline ll bpow (ll x, ll n) { ll t = 1; for (; n; n >>= 1, x = x * x % mod) if (n & 1) t = t * x % mod; return t; }
inline ll Inv (cl &x) { return bpow(x, mod - 2); }

ll f [N], inv [N], ans;
ll tin [N], tout [N], rtin [N], c [N], sz [N], n, r, q, zero, T;
vector <ll> adj [N];

void DFS (cl &v = 1, cl &pr = 0) {
	rtin[tin[v] = ++T] = v;
	for (auto &u : adj[v]) if (u != pr) DFS(u, v);
	tout[v] = T;
}

struct segtree {
	ll l, r, mx;
	segtree *lt, *rt;
	inline segtree (cl &L = 1, cl &R = N - 2) : l(L), r(R), mx(0) {}

	void build () {
		if (l == r) return;
		lt = new segtree (l, mid);
		rt = new segtree (mid + 1, r);
		lt->build(); rt->build();
	}

	void upd (cl &pos, cl &x) {
		if (l == r) { mx = x; return; }
		if (pos <= lt->r) lt->upd(pos, x);
		else rt->upd(pos, x);
		mx = max(lt->mx, rt->mx);
	}

	ll ask (cl &qr, cl &x) {
		if (qr < l || mx < x) return 0;
		if (l == r) return l;
		if (r <= qr) {
			if (rt->mx >= x) return rt->ask(qr, x);
			return lt->ask(qr, x);
		}
		ll p = rt->ask(qr, x);
		if (!p) p = lt->ask(qr, x);
		return p;
	}
} seg;

struct fenwick {
	ll fen [N];
	fenwick () { memset(fen, 0, sizeof fen); }
	inline void add (ll i, cl &x) { for (; i < N; i += i & -i) fen[i] += x; }
	inline ll ask (ll l, ll r) {
		ll ret = 0;
		for (; r; r -= r & -r) ret += fen[r];
		for (l--; l; l -= l & -l) ret -= fen[l];
		return ret;
	}
} fen, fen2;

inline ll nCr (cl &n, cl &r) {
	if (n < r || r < 0) return 0;
	return f[n] * inv[r] % mod * inv[n - r] % mod;
}
inline void obd (cl &x) { if (!x) zero++; else (ans *= x) %= mod; } // mul
inline void OBD (cl &x) { if (!x) zero--; else (ans *= x) %= mod; } // div

int main ()
{
	cin.tie(0)->sync_with_stdio(false);

	f[0] = 1; for (ll i = 1; i < N; i++) f[i] = f[i - 1] * i % mod;
	inv[N - 1] = Inv(f[N - 1]); for (ll i = N; --i;) inv[i - 1] = inv[i] * i % mod;

	cin>> n >> r;
	for (ll v, u, i = 1; i < n; i++) {
		cin>> v >> u;
		adj[v].push_back(u); adj[u].push_back(v);
	}

	DFS();
	seg.r = n; seg.build();
	seg.upd(tin[1], tout[1]);
	c[1] = r; sz[1] = n;
	fen.add(tin[1], c[1]);
	fen2.add(tin[1], sz[1]);
	ans = nCr(c[1] + sz[1] - 1, sz[1] - 1);
	cout<< ans << '\n';

	cin>> q;
	for (ll tp, v; q--;) {
		cin>> tp >> v;
		if (tp == 1) {
			cin>> c[v];
			c[v] -= fen.ask(tin[v], tout[v]);
			ll par = rtin[seg.ask(tin[v], tout[v])];
			OBD(Inv(nCr(c[par] + sz[par] - 1, sz[par] - 1)));
			sz[v] = tout[v] - tin[v] + 1 - fen2.ask(tin[v], tout[v]);
			sz[par] -= sz[v];
			fen2.add(tin[par], -sz[v]);
			fen2.add(tin[v], sz[v]);
			c[par] -= c[v];
			fen.add(tin[par], -c[v]);
			fen.add(tin[v], c[v]);
			obd(nCr(c[par] + sz[par] - 1, sz[par] - 1));
			obd(nCr(c[v] + sz[v] - 1, sz[v] - 1));
			seg.upd(tin[v], tout[v]);
		} else {
			seg.upd(tin[v], 0);
			ll par = rtin[seg.ask(tin[v], tout[v])];
			OBD(Inv(nCr(c[par] + sz[par] - 1, sz[par] - 1)));
			OBD(Inv(nCr(c[v] + sz[v] - 1, sz[v] - 1)));
			sz[par] += sz[v];
			fen2.add(tin[par], sz[v]);
			fen2.add(tin[v], -sz[v]);
			c[par] += c[v];
			fen.add(tin[par], c[v]);
			fen.add(tin[v], -c[v]);
			obd(nCr(c[par] + sz[par] - 1, sz[par] - 1));
		}

		cout<< (zero ? 0LL : ans) << '\n';
	}

	cerr<< "\n" __TIMESTAMP__ " - Time elapsed: " << 1000 * clock() / CLOCKS_PER_SEC << "ms\n";

	return 0;
}
/*
3 2
1 2
2 3
2
1 2 1
2 2

*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 179 ms 61044 KB Output is correct
2 Correct 169 ms 61116 KB Output is correct
3 Correct 160 ms 61120 KB Output is correct
4 Correct 172 ms 61072 KB Output is correct
5 Correct 177 ms 58944 KB Output is correct
6 Correct 21 ms 28288 KB Output is correct
7 Correct 21 ms 28120 KB Output is correct
8 Correct 21 ms 28248 KB Output is correct
9 Correct 181 ms 59288 KB Output is correct
10 Correct 180 ms 59120 KB Output is correct
11 Correct 196 ms 59124 KB Output is correct
12 Correct 165 ms 57540 KB Output is correct
13 Correct 155 ms 57992 KB Output is correct

Subtask #2
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 27756 KB Output is correct
2 Correct 20 ms 27652 KB Output is correct
3 Correct 20 ms 27640 KB Output is correct
4 Correct 20 ms 27724 KB Output is correct
5 Correct 21 ms 27860 KB Output is correct
6 Correct 24 ms 28108 KB Output is correct
7 Correct 22 ms 28108 KB Output is correct
8 Correct 23 ms 28100 KB Output is correct
9 Correct 24 ms 28364 KB Output is correct
10 Correct 25 ms 28244 KB Output is correct
11 Correct 24 ms 28236 KB Output is correct
12 Correct 21 ms 28244 KB Output is correct
13 Correct 24 ms 28240 KB Output is correct
14 Correct 25 ms 28308 KB Output is correct
15 Correct 25 ms 28396 KB Output is correct
16 Correct 25 ms 28260 KB Output is correct
17 Correct 25 ms 28236 KB Output is correct
18 Correct 24 ms 27924 KB Output is correct
19 Correct 24 ms 28332 KB Output is correct
20 Correct 23 ms 28100 KB Output is correct
21 Correct 22 ms 28056 KB Output is correct
22 Correct 22 ms 27752 KB Output is correct

Subtask #3
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 182 ms 64052 KB Output is correct
2 Correct 220 ms 64312 KB Output is correct
3 Correct 205 ms 64336 KB Output is correct
4 Correct 281 ms 64656 KB Output is correct
5 Correct 406 ms 63072 KB Output is correct
6 Correct 22 ms 28364 KB Output is correct
7 Correct 22 ms 28292 KB Output is correct
8 Correct 22 ms 28316 KB Output is correct
9 Correct 437 ms 63408 KB Output is correct
10 Correct 339 ms 62880 KB Output is correct
11 Correct 356 ms 63276 KB Output is correct
12 Correct 375 ms 62508 KB Output is correct
13 Correct 325 ms 67332 KB Output is correct
14 Correct 343 ms 67456 KB Output is correct
15 Correct 330 ms 67412 KB Output is correct
16 Correct 333 ms 67340 KB Output is correct
17 Correct 356 ms 67456 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 573 ms 64224 KB Output is correct
2 Correct 548 ms 64092 KB Output is correct
3 Correct 545 ms 64292 KB Output is correct
4 Correct 580 ms 64324 KB Output is correct
5 Correct 615 ms 62368 KB Output is correct
6 Correct 552 ms 64356 KB Output is correct
7 Correct 405 ms 47288 KB Output is correct
8 Correct 417 ms 47172 KB Output is correct
9 Correct 581 ms 64328 KB Output is correct
10 Correct 513 ms 64260 KB Output is correct
11 Correct 525 ms 64284 KB Output is correct
12 Correct 421 ms 47276 KB Output is correct
13 Correct 304 ms 44172 KB Output is correct
14 Correct 325 ms 48056 KB Output is correct
15 Correct 378 ms 48396 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 179 ms 61044 KB Output is correct
2 Correct 169 ms 61116 KB Output is correct
3 Correct 160 ms 61120 KB Output is correct
4 Correct 172 ms 61072 KB Output is correct
5 Correct 177 ms 58944 KB Output is correct
6 Correct 21 ms 28288 KB Output is correct
7 Correct 21 ms 28120 KB Output is correct
8 Correct 21 ms 28248 KB Output is correct
9 Correct 181 ms 59288 KB Output is correct
10 Correct 180 ms 59120 KB Output is correct
11 Correct 196 ms 59124 KB Output is correct
12 Correct 165 ms 57540 KB Output is correct
13 Correct 155 ms 57992 KB Output is correct
14 Correct 19 ms 27756 KB Output is correct
15 Correct 20 ms 27652 KB Output is correct
16 Correct 20 ms 27640 KB Output is correct
17 Correct 20 ms 27724 KB Output is correct
18 Correct 21 ms 27860 KB Output is correct
19 Correct 24 ms 28108 KB Output is correct
20 Correct 22 ms 28108 KB Output is correct
21 Correct 23 ms 28100 KB Output is correct
22 Correct 24 ms 28364 KB Output is correct
23 Correct 25 ms 28244 KB Output is correct
24 Correct 24 ms 28236 KB Output is correct
25 Correct 21 ms 28244 KB Output is correct
26 Correct 24 ms 28240 KB Output is correct
27 Correct 25 ms 28308 KB Output is correct
28 Correct 25 ms 28396 KB Output is correct
29 Correct 25 ms 28260 KB Output is correct
30 Correct 25 ms 28236 KB Output is correct
31 Correct 24 ms 27924 KB Output is correct
32 Correct 24 ms 28332 KB Output is correct
33 Correct 23 ms 28100 KB Output is correct
34 Correct 22 ms 28056 KB Output is correct
35 Correct 22 ms 27752 KB Output is correct
36 Correct 182 ms 64052 KB Output is correct
37 Correct 220 ms 64312 KB Output is correct
38 Correct 205 ms 64336 KB Output is correct
39 Correct 281 ms 64656 KB Output is correct
40 Correct 406 ms 63072 KB Output is correct
41 Correct 22 ms 28364 KB Output is correct
42 Correct 22 ms 28292 KB Output is correct
43 Correct 22 ms 28316 KB Output is correct
44 Correct 437 ms 63408 KB Output is correct
45 Correct 339 ms 62880 KB Output is correct
46 Correct 356 ms 63276 KB Output is correct
47 Correct 375 ms 62508 KB Output is correct
48 Correct 325 ms 67332 KB Output is correct
49 Correct 343 ms 67456 KB Output is correct
50 Correct 330 ms 67412 KB Output is correct
51 Correct 333 ms 67340 KB Output is correct
52 Correct 356 ms 67456 KB Output is correct
53 Correct 573 ms 64224 KB Output is correct
54 Correct 548 ms 64092 KB Output is correct
55 Correct 545 ms 64292 KB Output is correct
56 Correct 580 ms 64324 KB Output is correct
57 Correct 615 ms 62368 KB Output is correct
58 Correct 552 ms 64356 KB Output is correct
59 Correct 405 ms 47288 KB Output is correct
60 Correct 417 ms 47172 KB Output is correct
61 Correct 581 ms 64328 KB Output is correct
62 Correct 513 ms 64260 KB Output is correct
63 Correct 525 ms 64284 KB Output is correct
64 Correct 421 ms 47276 KB Output is correct
65 Correct 304 ms 44172 KB Output is correct
66 Correct 325 ms 48056 KB Output is correct
67 Correct 378 ms 48396 KB Output is correct
68 Correct 20 ms 27752 KB Output is correct
69 Correct 23 ms 27648 KB Output is correct
70 Correct 515 ms 70424 KB Output is correct
71 Correct 534 ms 70320 KB Output is correct
72 Correct 545 ms 70516 KB Output is correct
73 Correct 532 ms 70464 KB Output is correct
74 Correct 643 ms 70264 KB Output is correct
75 Correct 545 ms 68984 KB Output is correct
76 Correct 514 ms 68284 KB Output is correct
77 Correct 626 ms 68088 KB Output is correct
78 Correct 651 ms 67044 KB Output is correct
79 Correct 553 ms 69380 KB Output is correct
80 Correct 616 ms 67364 KB Output is correct
81 Correct 612 ms 68704 KB Output is correct
82 Correct 417 ms 64484 KB Output is correct
83 Correct 401 ms 66872 KB Output is correct
84 Correct 390 ms 65964 KB Output is correct
85 Correct 371 ms 65792 KB Output is correct