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답안 #828471

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
828471 2023-08-17T10:07:53 Z khshg Two Currencies (JOI23_currencies) C++14
100 / 100
 829 ms 31200 KB 
#include<bits/stdc++.h>
using namespace std;
#define pb push_back

int N, M, Q;
vector<vector<int>> adj;
vector<int> par, sz, anc, flat, pos;
vector<pair<int, int>> e, ch;
vector<int> S, T, X;
vector<long long> Y;

void dfs_sz(int s) {
	sz[s] = 1;
	if(adj[s][0] == par[s] && (int)adj[s].size() >= 2) swap(adj[s][0], adj[s][1]);
	for(auto& u : adj[s]) {
		if(u == par[s]) continue;
		par[u] = s;
		dfs_sz(u);
		sz[s] += sz[u];
		if(sz[adj[s][0]] < sz[u]) swap(adj[s][0], u);
	}
}

void build_hld(int s, int r) {
	pos[s] = (int)flat.size();
	flat.pb(s);
	anc[s] = r;
	for(auto& u : adj[s]) {
		if(u == par[s]) continue;
		build_hld(u, (u == adj[s][0] ? r : u));
	}
}

int LCA(int a, int b) {
	if(pos[a] > pos[b]) swap(a, b);
	if(anc[a] == anc[b]) return a;
	return LCA(a, par[anc[b]]);
}

vector<long long> bit;
void update(int ind, long long val) {
	++ind;
	while(ind <= N) {
		bit[ind] += val;
		ind += ind & -ind;
	}
}
long long pref_sum(int ind) {
	++ind;
	long long sum = 0;
	while(ind > 0) {
		sum += bit[ind];
		ind -= ind & -ind;
	}
	return sum;
}
long long Query(int l, int r) {
	return pref_sum(r) - pref_sum(l - 1);
}

long long hld_path(int u, int v) {
	if(anc[u] == anc[v]) return Query(pos[v], pos[u]);
	return Query(pos[anc[u]], pos[u]) + hld_path(par[anc[u]], v);
}

int32_t main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> N >> M >> Q;
	adj.resize(N);
	e.resize(N - 1);
	for(int i = 0; i + 1 < N; ++i) {
		int u, v; cin >> u >> v; --u; --v;
		e[i] = {u, v};
		adj[u].pb(v);
		adj[v].pb(u);
	}
	{ // hld
		par.resize(N);
		sz.resize(N);
		par[0] = -1;
		dfs_sz(0);
		anc.resize(N);
		pos.resize(N);
		build_hld(0, -1);
	}
	for(int i = 0; i + 1 < N; ++i) {
		if(par[e[i].second] == e[i].first) swap(e[i].first, e[i].second);
	}
	for(int i = 0; i < M; ++i) {
		int x, y; cin >> x >> y;
		ch.pb({y, e[x - 1].first});
	}
	sort(begin(ch), end(ch));
	S.resize(Q);
	T.resize(Q);
	X.resize(Q);
	Y.resize(Q);
	for(int i = 0; i < Q; ++i) {
		cin >> S[i] >> T[i] >> X[i] >> Y[i];
		--S[i]; --T[i];
	}
	vector<int> TL(Q, 0), TR(Q, M);
	while(true) {
		bool any = false;
		vector<vector<int>> Pos(M + 1);
		for(int i = 0; i < Q; ++i) {
			if(TL[i] == TR[i]) continue;
			any = true;
			int TM = (TL[i] + TR[i] + 1) / 2;
			Pos[TM].pb(i);
		}
		if(!any) break;
		bit = vector<long long>(N + 1, 0LL);
		for(int i = 0; i < M; ++i) {
			update(pos[ch[i].second], ch[i].first);
			for(auto& u : Pos[i + 1]) {
				int L = LCA(S[u], T[u]);
				long long sum = hld_path(S[u], L) + hld_path(T[u], L) - 2 * hld_path(L, L);
				if(sum <= Y[u]) {
					TL[u] = i + 1;
				} else {
					TR[u] = i;
				}
			}
		}
	}
	vector<int> ans(Q);
	bit = vector<long long>(N + 1, 0LL);
	vector<vector<int>> Pos(M + 1);
	for(int i = 0; i < Q; ++i) {
		Pos[TL[i]].pb(i);
	}
	for(int i = M; i >= 0; --i) {
		if(i < M) update(pos[ch[i].second], 1);
		for(int& u : Pos[i]) {
			if(i == M) {
				ans[u] = X[u];
				continue;
			}
			int L = LCA(S[u], T[u]);
			long long sum = hld_path(S[u], L) + hld_path(T[u], L) - 2 * hld_path(L, L);
			ans[u] = max(-1LL, X[u] - sum);
		}
	}
	for(auto& u : ans) {
		cout << u << '\n';
	}
	return 0;
}

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 5 ms 596 KB Output is correct
6 Correct 6 ms 716 KB Output is correct
7 Correct 5 ms 596 KB Output is correct
8 Correct 7 ms 724 KB Output is correct
9 Correct 7 ms 724 KB Output is correct
10 Correct 7 ms 764 KB Output is correct
11 Correct 7 ms 788 KB Output is correct
12 Correct 7 ms 712 KB Output is correct
13 Correct 5 ms 844 KB Output is correct
14 Correct 5 ms 852 KB Output is correct
15 Correct 5 ms 724 KB Output is correct
16 Correct 5 ms 804 KB Output is correct
17 Correct 6 ms 716 KB Output is correct
18 Correct 5 ms 816 KB Output is correct
19 Correct 4 ms 724 KB Output is correct
20 Correct 4 ms 724 KB Output is correct
21 Correct 4 ms 756 KB Output is correct
22 Correct 4 ms 724 KB Output is correct
23 Correct 6 ms 724 KB Output is correct
24 Correct 6 ms 724 KB Output is correct
25 Correct 6 ms 724 KB Output is correct
26 Correct 3 ms 724 KB Output is correct
27 Correct 4 ms 760 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 4 ms 724 KB Output is correct
30 Correct 7 ms 760 KB Output is correct
31 Correct 7 ms 676 KB Output is correct
32 Correct 7 ms 796 KB Output is correct
33 Correct 5 ms 852 KB Output is correct
34 Correct 5 ms 852 KB Output is correct
35 Correct 5 ms 852 KB Output is correct

Subtask #2
28.0 / 28.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 7 ms 724 KB Output is correct
3 Correct 7 ms 724 KB Output is correct
4 Correct 7 ms 720 KB Output is correct
5 Correct 515 ms 20696 KB Output is correct
6 Correct 703 ms 18796 KB Output is correct
7 Correct 663 ms 19668 KB Output is correct
8 Correct 490 ms 17968 KB Output is correct
9 Correct 471 ms 17948 KB Output is correct
10 Correct 776 ms 23624 KB Output is correct
11 Correct 824 ms 23504 KB Output is correct
12 Correct 787 ms 23928 KB Output is correct
13 Correct 794 ms 23632 KB Output is correct
14 Correct 792 ms 23664 KB Output is correct
15 Correct 376 ms 30252 KB Output is correct
16 Correct 369 ms 30944 KB Output is correct
17 Correct 349 ms 30320 KB Output is correct
18 Correct 629 ms 24404 KB Output is correct
19 Correct 611 ms 24232 KB Output is correct
20 Correct 587 ms 24076 KB Output is correct
21 Correct 321 ms 23716 KB Output is correct
22 Correct 355 ms 23892 KB Output is correct
23 Correct 319 ms 22856 KB Output is correct
24 Correct 324 ms 23576 KB Output is correct
25 Correct 609 ms 23448 KB Output is correct
26 Correct 638 ms 24216 KB Output is correct
27 Correct 629 ms 24300 KB Output is correct
28 Correct 293 ms 22460 KB Output is correct
29 Correct 334 ms 22952 KB Output is correct
30 Correct 416 ms 22476 KB Output is correct
31 Correct 394 ms 22948 KB Output is correct

Subtask #3
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 5 ms 884 KB Output is correct
3 Correct 4 ms 852 KB Output is correct
4 Correct 5 ms 920 KB Output is correct
5 Correct 229 ms 25688 KB Output is correct
6 Correct 213 ms 24524 KB Output is correct
7 Correct 290 ms 22356 KB Output is correct
8 Correct 352 ms 31200 KB Output is correct
9 Correct 356 ms 30612 KB Output is correct
10 Correct 358 ms 30992 KB Output is correct
11 Correct 306 ms 30264 KB Output is correct
12 Correct 319 ms 30672 KB Output is correct
13 Correct 311 ms 30776 KB Output is correct
14 Correct 247 ms 29940 KB Output is correct
15 Correct 229 ms 30864 KB Output is correct
16 Correct 271 ms 30252 KB Output is correct
17 Correct 265 ms 30892 KB Output is correct

Subtask #4
32.0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 5 ms 596 KB Output is correct
6 Correct 6 ms 716 KB Output is correct
7 Correct 5 ms 596 KB Output is correct
8 Correct 7 ms 724 KB Output is correct
9 Correct 7 ms 724 KB Output is correct
10 Correct 7 ms 764 KB Output is correct
11 Correct 7 ms 788 KB Output is correct
12 Correct 7 ms 712 KB Output is correct
13 Correct 5 ms 844 KB Output is correct
14 Correct 5 ms 852 KB Output is correct
15 Correct 5 ms 724 KB Output is correct
16 Correct 5 ms 804 KB Output is correct
17 Correct 6 ms 716 KB Output is correct
18 Correct 5 ms 816 KB Output is correct
19 Correct 4 ms 724 KB Output is correct
20 Correct 4 ms 724 KB Output is correct
21 Correct 4 ms 756 KB Output is correct
22 Correct 4 ms 724 KB Output is correct
23 Correct 6 ms 724 KB Output is correct
24 Correct 6 ms 724 KB Output is correct
25 Correct 6 ms 724 KB Output is correct
26 Correct 3 ms 724 KB Output is correct
27 Correct 4 ms 760 KB Output is correct
28 Correct 4 ms 724 KB Output is correct
29 Correct 4 ms 724 KB Output is correct
30 Correct 7 ms 760 KB Output is correct
31 Correct 7 ms 676 KB Output is correct
32 Correct 7 ms 796 KB Output is correct
33 Correct 5 ms 852 KB Output is correct
34 Correct 5 ms 852 KB Output is correct
35 Correct 5 ms 852 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 7 ms 724 KB Output is correct
38 Correct 7 ms 724 KB Output is correct
39 Correct 7 ms 720 KB Output is correct
40 Correct 515 ms 20696 KB Output is correct
41 Correct 703 ms 18796 KB Output is correct
42 Correct 663 ms 19668 KB Output is correct
43 Correct 490 ms 17968 KB Output is correct
44 Correct 471 ms 17948 KB Output is correct
45 Correct 776 ms 23624 KB Output is correct
46 Correct 824 ms 23504 KB Output is correct
47 Correct 787 ms 23928 KB Output is correct
48 Correct 794 ms 23632 KB Output is correct
49 Correct 792 ms 23664 KB Output is correct
50 Correct 376 ms 30252 KB Output is correct
51 Correct 369 ms 30944 KB Output is correct
52 Correct 349 ms 30320 KB Output is correct
53 Correct 629 ms 24404 KB Output is correct
54 Correct 611 ms 24232 KB Output is correct
55 Correct 587 ms 24076 KB Output is correct
56 Correct 321 ms 23716 KB Output is correct
57 Correct 355 ms 23892 KB Output is correct
58 Correct 319 ms 22856 KB Output is correct
59 Correct 324 ms 23576 KB Output is correct
60 Correct 609 ms 23448 KB Output is correct
61 Correct 638 ms 24216 KB Output is correct
62 Correct 629 ms 24300 KB Output is correct
63 Correct 293 ms 22460 KB Output is correct
64 Correct 334 ms 22952 KB Output is correct
65 Correct 416 ms 22476 KB Output is correct
66 Correct 394 ms 22948 KB Output is correct
67 Correct 0 ms 212 KB Output is correct
68 Correct 5 ms 884 KB Output is correct
69 Correct 4 ms 852 KB Output is correct
70 Correct 5 ms 920 KB Output is correct
71 Correct 229 ms 25688 KB Output is correct
72 Correct 213 ms 24524 KB Output is correct
73 Correct 290 ms 22356 KB Output is correct
74 Correct 352 ms 31200 KB Output is correct
75 Correct 356 ms 30612 KB Output is correct
76 Correct 358 ms 30992 KB Output is correct
77 Correct 306 ms 30264 KB Output is correct
78 Correct 319 ms 30672 KB Output is correct
79 Correct 311 ms 30776 KB Output is correct
80 Correct 247 ms 29940 KB Output is correct
81 Correct 229 ms 30864 KB Output is correct
82 Correct 271 ms 30252 KB Output is correct
83 Correct 265 ms 30892 KB Output is correct
84 Correct 515 ms 19096 KB Output is correct
85 Correct 561 ms 16600 KB Output is correct
86 Correct 520 ms 14736 KB Output is correct
87 Correct 829 ms 23084 KB Output is correct
88 Correct 824 ms 23288 KB Output is correct
89 Correct 798 ms 23092 KB Output is correct
90 Correct 805 ms 23116 KB Output is correct
91 Correct 810 ms 23944 KB Output is correct
92 Correct 360 ms 28692 KB Output is correct
93 Correct 397 ms 30068 KB Output is correct
94 Correct 622 ms 24396 KB Output is correct
95 Correct 618 ms 24300 KB Output is correct
96 Correct 616 ms 24124 KB Output is correct
97 Correct 640 ms 24336 KB Output is correct
98 Correct 346 ms 23856 KB Output is correct
99 Correct 331 ms 23872 KB Output is correct
100 Correct 337 ms 22912 KB Output is correct
101 Correct 338 ms 23676 KB Output is correct
102 Correct 619 ms 23332 KB Output is correct
103 Correct 640 ms 24292 KB Output is correct
104 Correct 602 ms 23428 KB Output is correct
105 Correct 304 ms 22912 KB Output is correct
106 Correct 374 ms 23004 KB Output is correct
107 Correct 419 ms 23392 KB Output is correct
108 Correct 367 ms 22900 KB Output is correct