oj.uz

Submission #523070

# Submission time Handle Problem Language Result Execution time Memory
523070 2022-02-06T22:19:20 Z Blondie Magic Tree (CEOI19_magictree) C++17
100 / 100
 553 ms 485024 KB 
#include <bits/stdc++.h>
using namespace std;

#define sz(x) ((int)(x.size()))
#define all(x) x.begin(), x.end()

template<typename T> void pr(T a){std::cerr<<a<<std::endl;}
template<typename T, typename... Args> void pr(T a, Args... args){std::cerr<<a<<' ',pr(args...);}

using ll = long long;

const char nl = '\n';
const int MX = 1e5 + 10;

struct Node {
	int ls, rs;
	ll mx, mn, lz;
	Node(ll hi = 0, ll lo = 0) : ls(0), rs(0), mx(hi), mn(lo), lz(0) {}
};

Node st[int(15e6)];
int _nxt;

void addChild(int v) {
	if(st[v].ls) return;
// cerr << v->mx << " " << v->mn << nl;
	Node tmp(st[v].mx - st[v].lz, st[v].mn - st[v].lz);
	st[v].ls = ++_nxt;
	st[_nxt] = tmp;
	st[v].rs = ++_nxt;
	st[_nxt] = tmp;
}

void prop(int v) {
	if(!st[v].ls) return;
	ll& L = st[v].lz;
	int _ls = st[v].ls;
	int _rs = st[v].rs;
	st[_ls].lz += L;
	st[_ls].mx += L;
	st[_ls].mn += L;

	st[_rs].lz += L;
	st[_rs].mx += L;
	st[_rs].mn += L;
	L = 0;
}

void pull(int v) {
	st[v].mx = max(st[st[v].ls].mx, st[st[v].rs].mx);
	st[v].mn = min(st[st[v].ls].mn, st[st[v].rs].mn);
}

void upd(int v, int b, int e, int l, int r, ll x) {
	if(l >= r) return;
	addChild(v);
	if(b == l && e == r) {
		st[v].mx += x;
		st[v].mn += x;
		st[v].lz += x;
		return;
	}
	prop(v);
	int m = (b + e) / 2;
	upd(st[v].ls, b, m, l, min(r, m), x);
	upd(st[v].rs, m, e, max(l, m), r, x);
	pull(v);
}

void upd2(int v, int b, int e, int l, int r, ll x) {
	if(l >= r || st[v].mn >= x) return;
	addChild(v);
	if(b == l && e == r && st[v].mx <= x) {
		st[v].ls = st[v].rs = 0;
		st[v].mx = x;
		st[v].mn = x;
		st[v].lz = 0;
		return;
	}
	prop(v);
	int m = (b + e) / 2;
	upd2(st[v].ls, b, m, l, min(r, m), x);
	upd2(st[v].rs, m, e, max(l, m), r, x);
	pull(v);
}

ll qry(int v, int b, int e, int l, int r) {
	if(l >= r) return 0;
	addChild(v);
	if(b == l && e == r) {
		return st[v].mx;
	}
	prop(v);
	int m = (b + e) / 2;
	return max(qry(st[v].ls, b, m, l, min(r, m)), qry(st[v].rs, m, e, max(l, m), r));
}

vector<pair<int,ll>> leaves;
void getLeaves(int v, int b, int e) {
	if(!v) return;
	if(e - b == 1 || !st[v].ls) {
		if(!sz(leaves) || st[v].mx > leaves.back().second) {
			leaves.push_back({b, st[v].mx});
		}
		return;
	}
	prop(v);
	int m = (b + e) / 2;
	getLeaves(st[v].ls, b, m);
	getLeaves(st[v].rs, m, e);
}

vector<int> adj[MX];
int tree[MX];
int val[MX], day[MX];
int n, m, k, sz[MX];

void dfsSz(int v) {
	sz[v] = 1;
	for(int u : adj[v]) {
		dfsSz(u);
		sz[v] += sz[u];
	}
}

void dfs(int v) {
	int big = -1;
	for(int u : adj[v]) {
		dfs(u);
		if(big == -1 || sz[big] < sz[u]) {
			big = u;
		}
	}
	if(big == -1) {
		tree[v] = ++_nxt;
	} else {
		tree[v] = tree[big];
	}
	//cerr << "doing: " << v+1 << nl;
	for(int u : adj[v]) {
		if(u != big) {
			leaves.clear();
			getLeaves(tree[u], 0, k);
			ll prv = 0;
			for(int i = 0; i < sz(leaves); i++) {
				int nxt = i + 1 == sz(leaves) ? k : leaves[i + 1].first;
				auto [pos, x] = leaves[i];
//				cerr << prv << " " << x << " -> " << pos << " " << nxt << nl;
				assert(prv <= x);
				upd(tree[v], 0, k, pos, nxt, x);
				prv = x;
			}
		}
	}
	if(day[v] != -1) {
		ll me = val[v] + qry(tree[v], 0, k, 0, day[v]+1);
		upd2(tree[v], 0, k, day[v], k, me);
//		cerr << v+1 << ": " << me << nl;
	}
}

void solve() {
	cin >> n >> m >> k;
	fill_n(day, n, -1);
	for(int i = 1; i < n; i++) {
		int p;
		cin >> p; --p;
		adj[p].push_back(i);
	}
	ll should = 0;
	for(int i = 0; i < m; i++) {
		int v;
		cin >> v; --v;
		cin >> day[v] >> val[v];
		--day[v];
		should += val[v];
	}
	dfsSz(0);
	dfs(0);
	cout << st[tree[0]].mx << nl;
//	assert(tree[0]->mx <= should);
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	
	int te = 1;
//	cin >> te;
	while(te--) {
		solve();
	}
}

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 472256 KB Output is correct
2 Correct 180 ms 472272 KB Output is correct
3 Correct 181 ms 472260 KB Output is correct
4 Correct 181 ms 472280 KB Output is correct
5 Correct 203 ms 472252 KB Output is correct
6 Correct 176 ms 472324 KB Output is correct
7 Correct 188 ms 472468 KB Output is correct
8 Correct 182 ms 472240 KB Output is correct
9 Correct 183 ms 472260 KB Output is correct

Subtask #2
3.0 / 3.0

# Verdict Execution time Memory Grader output
1 Correct 342 ms 476632 KB Output is correct
2 Correct 257 ms 480440 KB Output is correct
3 Correct 553 ms 475516 KB Output is correct
4 Correct 375 ms 474436 KB Output is correct
5 Correct 471 ms 475808 KB Output is correct

Subtask #3
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 179 ms 472460 KB Output is correct
2 Correct 180 ms 472484 KB Output is correct
3 Correct 195 ms 472416 KB Output is correct
4 Correct 265 ms 484900 KB Output is correct
5 Correct 273 ms 484904 KB Output is correct
6 Correct 291 ms 485024 KB Output is correct

Subtask #4
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 475608 KB Output is correct
2 Correct 266 ms 475524 KB Output is correct
3 Correct 226 ms 479648 KB Output is correct
4 Correct 221 ms 474444 KB Output is correct
5 Correct 242 ms 484932 KB Output is correct

Subtask #5
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 472256 KB Output is correct
2 Correct 180 ms 472272 KB Output is correct
3 Correct 181 ms 472260 KB Output is correct
4 Correct 181 ms 472280 KB Output is correct
5 Correct 203 ms 472252 KB Output is correct
6 Correct 176 ms 472324 KB Output is correct
7 Correct 188 ms 472468 KB Output is correct
8 Correct 182 ms 472240 KB Output is correct
9 Correct 183 ms 472260 KB Output is correct
10 Correct 260 ms 475564 KB Output is correct
11 Correct 252 ms 475588 KB Output is correct
12 Correct 227 ms 479712 KB Output is correct
13 Correct 249 ms 474456 KB Output is correct
14 Correct 225 ms 484856 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 200 ms 473064 KB Output is correct
2 Correct 220 ms 475540 KB Output is correct
3 Correct 221 ms 475616 KB Output is correct
4 Correct 205 ms 475528 KB Output is correct
5 Correct 193 ms 474524 KB Output is correct
6 Correct 198 ms 476824 KB Output is correct
7 Correct 203 ms 479556 KB Output is correct

Subtask #7
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 472256 KB Output is correct
2 Correct 180 ms 472272 KB Output is correct
3 Correct 181 ms 472260 KB Output is correct
4 Correct 181 ms 472280 KB Output is correct
5 Correct 203 ms 472252 KB Output is correct
6 Correct 176 ms 472324 KB Output is correct
7 Correct 188 ms 472468 KB Output is correct
8 Correct 182 ms 472240 KB Output is correct
9 Correct 183 ms 472260 KB Output is correct
10 Correct 179 ms 472460 KB Output is correct
11 Correct 180 ms 472484 KB Output is correct
12 Correct 195 ms 472416 KB Output is correct
13 Correct 265 ms 484900 KB Output is correct
14 Correct 273 ms 484904 KB Output is correct
15 Correct 291 ms 485024 KB Output is correct
16 Correct 260 ms 475564 KB Output is correct
17 Correct 252 ms 475588 KB Output is correct
18 Correct 227 ms 479712 KB Output is correct
19 Correct 249 ms 474456 KB Output is correct
20 Correct 225 ms 484856 KB Output is correct
21 Correct 222 ms 473216 KB Output is correct
22 Correct 297 ms 475616 KB Output is correct
23 Correct 373 ms 475772 KB Output is correct
24 Correct 466 ms 475940 KB Output is correct
25 Correct 377 ms 474532 KB Output is correct
26 Correct 391 ms 477552 KB Output is correct
27 Correct 307 ms 480032 KB Output is correct

Subtask #8
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 176 ms 472256 KB Output is correct
2 Correct 180 ms 472272 KB Output is correct
3 Correct 181 ms 472260 KB Output is correct
4 Correct 181 ms 472280 KB Output is correct
5 Correct 203 ms 472252 KB Output is correct
6 Correct 176 ms 472324 KB Output is correct
7 Correct 188 ms 472468 KB Output is correct
8 Correct 182 ms 472240 KB Output is correct
9 Correct 183 ms 472260 KB Output is correct
10 Correct 342 ms 476632 KB Output is correct
11 Correct 257 ms 480440 KB Output is correct
12 Correct 553 ms 475516 KB Output is correct
13 Correct 375 ms 474436 KB Output is correct
14 Correct 471 ms 475808 KB Output is correct
15 Correct 179 ms 472460 KB Output is correct
16 Correct 180 ms 472484 KB Output is correct
17 Correct 195 ms 472416 KB Output is correct
18 Correct 265 ms 484900 KB Output is correct
19 Correct 273 ms 484904 KB Output is correct
20 Correct 291 ms 485024 KB Output is correct
21 Correct 257 ms 475608 KB Output is correct
22 Correct 266 ms 475524 KB Output is correct
23 Correct 226 ms 479648 KB Output is correct
24 Correct 221 ms 474444 KB Output is correct
25 Correct 242 ms 484932 KB Output is correct
26 Correct 260 ms 475564 KB Output is correct
27 Correct 252 ms 475588 KB Output is correct
28 Correct 227 ms 479712 KB Output is correct
29 Correct 249 ms 474456 KB Output is correct
30 Correct 225 ms 484856 KB Output is correct
31 Correct 200 ms 473064 KB Output is correct
32 Correct 220 ms 475540 KB Output is correct
33 Correct 221 ms 475616 KB Output is correct
34 Correct 205 ms 475528 KB Output is correct
35 Correct 193 ms 474524 KB Output is correct
36 Correct 198 ms 476824 KB Output is correct
37 Correct 203 ms 479556 KB Output is correct
38 Correct 222 ms 473216 KB Output is correct
39 Correct 297 ms 475616 KB Output is correct
40 Correct 373 ms 475772 KB Output is correct
41 Correct 466 ms 475940 KB Output is correct
42 Correct 377 ms 474532 KB Output is correct
43 Correct 391 ms 477552 KB Output is correct
44 Correct 307 ms 480032 KB Output is correct
45 Correct 215 ms 473144 KB Output is correct
46 Correct 304 ms 475692 KB Output is correct
47 Correct 381 ms 475972 KB Output is correct
48 Correct 497 ms 475848 KB Output is correct
49 Correct 374 ms 474432 KB Output is correct
50 Correct 371 ms 477404 KB Output is correct
51 Correct 322 ms 479972 KB Output is correct