oj.uz

Submission #838589

# Submission time Handle Problem Language Result Execution time Memory
838589 2023-08-27T12:28:30 Z 42kangaroo Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 866 ms 83984 KB 
//
// Created by 42kangaroo on 26/08/2023.
//
#include "bits/stdc++.h"

using namespace std;

#define int long long

using g_t = vector<vector<int>>;

struct FenTr {
	vector<int> a;

	void inc(int k, int v) {
		for (int i = k + 1; i < a.size(); i += i & (-i)) {
			a[i] += v;
		}
	}

	int get(int k) {
		int res = 0;
		for (int i = k + 1; i > 0; i -= i & (-i)) {
			res += a[i];
		}
		return res;
	}
};

void dfs(int n, int p, int &t, int d, g_t &gr, vector<int> &pre, vector<int> &po, vector<int> &pa, vector<int> &de) {
	pre[n] = t++;
	pa[n] = p;
	de[n] = d;
	for (auto e: gr[n]) {
		if (e == p) continue;
		dfs(e, n, t, d + 1, gr, pre, po, pa, de);
	}
	po[n] = t++;
}

g_t binJT(vector<int> &pa) {
	g_t binT(20, vector<int>(pa.size()));
	binT[0] = pa;
	for (int i = 1; i < 20; ++i) {
		for (int j = 0; j < pa.size(); ++j) {
			binT[i][j] = binT[i - 1][binT[i - 1][j]];
		}
	}
	return binT;
}

int up(int a, int k, g_t& binT) {
	for (int i = 0; k; k >>= 1, i++) {
		if (k & 1) a = binT[i][a];
	}
	return a;
}

int lca(int a, int b, g_t &binT, vector<int> &de) {
	if (de[a] < de[b]) swap(a, b);
	int k = de[a] - de[b];
	a = up(a, k, binT);
	if (a == b) return a;
	for (int i = 19; i >= 0; --i) {
		if (binT[i][a] != binT[i][b]) {
			a = binT[i][a];
			b = binT[i][b];
		}
	}
	return binT[0][a];
}

int findFirst(int a, FenTr &tr, vector<int> &pr, g_t &binT) {
	int num = tr.get(pr[a]);
	for (int i = 19; i >= 0; --i) {
		if (tr.get(pr[binT[i][a]]) == num) a = binT[i][a];
	}
	return a;
}

signed main() {
	ios_base::sync_with_stdio(false);
	cin.tie(nullptr);
	int n;
	cin >> n;
	vector<int> h(n);
	g_t gr(n);
	int ro = 0;
	for (int i = 0; i < n; ++i) {
		cin >> h[i];
		if (h[i] == n) ro = i;
	}
	for (int i = 0; i < n - 1; ++i) {
		int a, b;
		cin >> a >> b;
		gr[--a].push_back(--b);
		gr[b].push_back(a);
	}
	vector<int> pre(n), po(n), pa(n), de(n);
	int t = 0;
	dfs(ro, ro, t, 0, gr, pre, po, pa, de);
	g_t binT = binJT(pa);
	FenTr tr{vector<int>(2 * n + 2, 0)};
	vector<int> o(n);
	std::iota(o.begin(), o.end(),0);
	std::sort(o.begin(), o.end(), [&](int l, int r) {return h[l] > h[r];});
	vector<int> dom(n, -1);
	vector<int> fiDe(n, -1);
	fiDe[ro] = 0;
	for (int i = 1; i < n; ++i) {
		int v = o[i];
		int fi = findFirst(v, tr, pre, binT);
		int und = up(v, de[v] - de[fi] - 1, binT);
		if (dom[und] != -1) {
			fi = dom[und];
		}
		fiDe[v] = fiDe[fi] + de[v] + de[fi] - 2*de[lca(v, fi, binT, de)];
		dom[und] = v;
		tr.inc(pre[v], 1);
		tr.inc(po[v], -1);
	}
	cout << *max_element(fiDe.begin(), fiDe.end());
}

Compilation message

Main.cpp: In member function 'void FenTr::inc(long long int, long long int)':
Main.cpp:16:25: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   16 |   for (int i = k + 1; i < a.size(); i += i & (-i)) {
      |                       ~~^~~~~~~~~~
Main.cpp: In function 'g_t binJT(std::vector<long long int>&)':
Main.cpp:45:21: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   45 |   for (int j = 0; j < pa.size(); ++j) {
      |                   ~~^~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 2304 KB Output is correct
19 Correct 4 ms 2260 KB Output is correct
20 Correct 4 ms 2260 KB Output is correct
21 Correct 5 ms 2132 KB Output is correct
22 Correct 5 ms 2004 KB Output is correct
23 Correct 5 ms 2004 KB Output is correct
24 Correct 7 ms 2004 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 2304 KB Output is correct
19 Correct 4 ms 2260 KB Output is correct
20 Correct 4 ms 2260 KB Output is correct
21 Correct 5 ms 2132 KB Output is correct
22 Correct 5 ms 2004 KB Output is correct
23 Correct 5 ms 2004 KB Output is correct
24 Correct 7 ms 2004 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 5 ms 2132 KB Output is correct
27 Correct 6 ms 2132 KB Output is correct
28 Correct 5 ms 2132 KB Output is correct
29 Correct 5 ms 2132 KB Output is correct
30 Correct 5 ms 1748 KB Output is correct
31 Correct 5 ms 1748 KB Output is correct
32 Correct 5 ms 1748 KB Output is correct
33 Correct 5 ms 1800 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 2304 KB Output is correct
19 Correct 4 ms 2260 KB Output is correct
20 Correct 4 ms 2260 KB Output is correct
21 Correct 5 ms 2132 KB Output is correct
22 Correct 5 ms 2004 KB Output is correct
23 Correct 5 ms 2004 KB Output is correct
24 Correct 7 ms 2004 KB Output is correct
25 Correct 231 ms 80132 KB Output is correct
26 Correct 258 ms 83984 KB Output is correct
27 Correct 245 ms 83984 KB Output is correct
28 Correct 835 ms 78496 KB Output is correct
29 Correct 793 ms 81508 KB Output is correct
30 Correct 747 ms 80620 KB Output is correct
31 Correct 818 ms 81788 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 654 ms 59844 KB Output is correct
4 Correct 699 ms 59848 KB Output is correct
5 Correct 681 ms 59952 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 4 ms 2304 KB Output is correct
19 Correct 4 ms 2260 KB Output is correct
20 Correct 4 ms 2260 KB Output is correct
21 Correct 5 ms 2132 KB Output is correct
22 Correct 5 ms 2004 KB Output is correct
23 Correct 5 ms 2004 KB Output is correct
24 Correct 7 ms 2004 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 5 ms 2132 KB Output is correct
27 Correct 6 ms 2132 KB Output is correct
28 Correct 5 ms 2132 KB Output is correct
29 Correct 5 ms 2132 KB Output is correct
30 Correct 5 ms 1748 KB Output is correct
31 Correct 5 ms 1748 KB Output is correct
32 Correct 5 ms 1748 KB Output is correct
33 Correct 5 ms 1800 KB Output is correct
34 Correct 231 ms 80132 KB Output is correct
35 Correct 258 ms 83984 KB Output is correct
36 Correct 245 ms 83984 KB Output is correct
37 Correct 835 ms 78496 KB Output is correct
38 Correct 793 ms 81508 KB Output is correct
39 Correct 747 ms 80620 KB Output is correct
40 Correct 818 ms 81788 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 654 ms 59844 KB Output is correct
44 Correct 699 ms 59848 KB Output is correct
45 Correct 681 ms 59952 KB Output is correct
46 Correct 696 ms 77876 KB Output is correct
47 Correct 643 ms 77872 KB Output is correct
48 Correct 748 ms 80084 KB Output is correct
49 Correct 696 ms 77888 KB Output is correct
50 Correct 866 ms 63148 KB Output is correct
51 Correct 841 ms 63124 KB Output is correct
52 Correct 839 ms 63136 KB Output is correct
53 Correct 841 ms 63128 KB Output is correct