oj.uz

Submission #283119

# Submission time Handle Problem Language Result Execution time Memory
283119 2020-08-25T10:10:45 Z Berted Long Mansion (JOI17_long_mansion) C++14
100 / 100
 722 ms 39140 KB 
#include <iostream>
#include <set>
#include <queue>
#include <algorithm>
#include <vector>
#define pii pair<int, int>
#define fst first
#define snd second
#define vi vector<int>
using namespace std;

/*
	Idea :
	We can transform this problem into a graph traversal problem
	Node is defined as (L, R) which is the range currently accessible
	The edges have a special property, which can be exploited, 
	such that we can maintain a data structure where we can query the rightmost cell reachable from a node.
	Once we determine the rightmost reachable cell, we can determine the leftmost reachable cell. 
*/

int n, q;
int val[500001], goL[500001], goR[500001];
vi pos[500001];
int L[500001], R[500001];
set<pii> s1, s2;
priority_queue<pii> pq;

inline void ins(int x)
{
	pii lel = {x, x};
	if (s1.size() && prev(s1.end()) -> snd + 1 == x) {lel.fst = prev(s1.end()) -> fst; s1.erase(prev(s1.end()));}
	//cout << "insert " << lel.fst << " " << lel.snd << "\n";
	s1.insert(lel);
}

inline void del(int x)
{
	auto it = s1.upper_bound({x + 1, -1});
	if (it != s1.begin())
	{
		pii lel = *prev(it); s1.erase(prev(it));
		if (lel.fst < x) 
		{
			//cout << "insert " << lel.fst << " " << x - 1 << "\n";
			s1.insert({lel.fst, x - 1});
		}
		if (x < lel.snd) 
		{
			//cout << "insert " << x + 1 << " " << lel.snd << "\n";
			s1.insert({x + 1, lel.snd});
		}
	}
}

int main()
{
	ios :: sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> n;
	for (int i = 0; i < n - 1; i++) {cin >> val[i];}
	for (int i = 0; i < n; i++)
	{
		int x; cin >> x;
		for (int j = 0; j < x; j++)
		{
			int k; cin >> k; pos[k].push_back(i);
		}
	}
	for (int i = 0; i < n - 1; i++)
	{
		auto it = upper_bound(pos[val[i]].begin(), pos[val[i]].end(), i);
		if (it != pos[val[i]].begin()) {goR[i] = *prev(it);}
		else {goR[i] = -1;}
		if (it != pos[val[i]].end()) {goL[i] = *it;}
		else {goL[i] = n;}
		if (goL[i] < n) {pq.push({goL[i], i}); ins(i);}
		//cout << "Bridge " << i << " " << goL[i] << " " << goR[i] << "\n";
	}
	s2.insert({0, n - 1}); R[n - 1] = n - 1;
	for (int i = n - 2; i >= 0; i--)
	{
		while (pq.size() && pq.top().fst > i)
		{
			del(pq.top().snd); pq.pop();
		}
		auto it = s1.upper_bound({goR[i] + 1, -1});
		int np = goR[i] + 1;
		if (it != s1.begin()) 
		{
			if (prev(it) -> fst <= goR[i] && goR[i] <= prev(it) -> snd) np = prev(it) -> snd + 2;
		}
		while (s2.size() && prev(s2.end()) -> fst >= np) {s2.erase(prev(s2.end()));}
		//cout << np << " " << i << "\n";
		if (np <= i) s2.insert({np, i});
		R[i] = prev(s2.end()) -> snd;
		//cout << i << " " << R[i] << "\n";
	}
	vector<pii> s;
	for (int i = 0; i < n; i++)
	{
		L[i] = i;
		auto it = upper_bound(s.begin(), s.end(), make_pair(R[i], n), greater<pii>());
		if (it != s.end()) 
		{
			if (it == s.begin()) {L[i] = 0;}
			else {L[i] = prev(it) -> snd + 1;}
		}
		if (i + 1 < n)
		{
			while (s.size() && s.back().fst <= goL[i]) {s.pop_back();}
			s.push_back({goL[i], i});
		}
		//cout << i << " " << L[i] << " " << R[i] << "\n";
	}
	cin >> q;
	while (q--)
	{
		int S, T; cin >> S >> T; S--; T--;
		if (L[S] <= T && T <= R[S]) cout << "YES\n";
		else cout << "NO\n";
	}
	return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12288 KB Output is correct
2 Correct 15 ms 12416 KB Output is correct
3 Correct 13 ms 12416 KB Output is correct
4 Correct 13 ms 12288 KB Output is correct
5 Correct 11 ms 12288 KB Output is correct
6 Correct 11 ms 12288 KB Output is correct
7 Correct 11 ms 12288 KB Output is correct

Subtask #2
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12288 KB Output is correct
2 Correct 15 ms 12416 KB Output is correct
3 Correct 13 ms 12416 KB Output is correct
4 Correct 13 ms 12288 KB Output is correct
5 Correct 11 ms 12288 KB Output is correct
6 Correct 11 ms 12288 KB Output is correct
7 Correct 11 ms 12288 KB Output is correct
8 Correct 113 ms 15864 KB Output is correct
9 Correct 120 ms 15736 KB Output is correct
10 Correct 115 ms 15964 KB Output is correct
11 Correct 125 ms 16248 KB Output is correct
12 Correct 110 ms 15992 KB Output is correct
13 Correct 112 ms 16100 KB Output is correct
14 Correct 114 ms 15992 KB Output is correct
15 Correct 118 ms 16120 KB Output is correct
16 Correct 110 ms 16248 KB Output is correct
17 Correct 113 ms 16060 KB Output is correct
18 Correct 111 ms 15996 KB Output is correct
19 Correct 122 ms 16156 KB Output is correct
20 Correct 118 ms 16236 KB Output is correct
21 Correct 118 ms 16248 KB Output is correct
22 Correct 118 ms 16128 KB Output is correct
23 Correct 111 ms 15864 KB Output is correct
24 Correct 112 ms 15924 KB Output is correct
25 Correct 116 ms 15864 KB Output is correct
26 Correct 126 ms 15864 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 224 ms 20244 KB Output is correct
2 Correct 224 ms 19948 KB Output is correct
3 Correct 217 ms 19928 KB Output is correct
4 Correct 220 ms 20048 KB Output is correct
5 Correct 217 ms 19968 KB Output is correct
6 Correct 203 ms 19176 KB Output is correct
7 Correct 187 ms 19472 KB Output is correct
8 Correct 178 ms 20140 KB Output is correct
9 Correct 188 ms 20204 KB Output is correct
10 Correct 189 ms 20144 KB Output is correct
11 Correct 187 ms 20204 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12288 KB Output is correct
2 Correct 15 ms 12416 KB Output is correct
3 Correct 13 ms 12416 KB Output is correct
4 Correct 13 ms 12288 KB Output is correct
5 Correct 11 ms 12288 KB Output is correct
6 Correct 11 ms 12288 KB Output is correct
7 Correct 11 ms 12288 KB Output is correct
8 Correct 113 ms 15864 KB Output is correct
9 Correct 120 ms 15736 KB Output is correct
10 Correct 115 ms 15964 KB Output is correct
11 Correct 125 ms 16248 KB Output is correct
12 Correct 110 ms 15992 KB Output is correct
13 Correct 112 ms 16100 KB Output is correct
14 Correct 114 ms 15992 KB Output is correct
15 Correct 118 ms 16120 KB Output is correct
16 Correct 110 ms 16248 KB Output is correct
17 Correct 113 ms 16060 KB Output is correct
18 Correct 111 ms 15996 KB Output is correct
19 Correct 122 ms 16156 KB Output is correct
20 Correct 118 ms 16236 KB Output is correct
21 Correct 118 ms 16248 KB Output is correct
22 Correct 118 ms 16128 KB Output is correct
23 Correct 111 ms 15864 KB Output is correct
24 Correct 112 ms 15924 KB Output is correct
25 Correct 116 ms 15864 KB Output is correct
26 Correct 126 ms 15864 KB Output is correct
27 Correct 224 ms 20244 KB Output is correct
28 Correct 224 ms 19948 KB Output is correct
29 Correct 217 ms 19928 KB Output is correct
30 Correct 220 ms 20048 KB Output is correct
31 Correct 217 ms 19968 KB Output is correct
32 Correct 203 ms 19176 KB Output is correct
33 Correct 187 ms 19472 KB Output is correct
34 Correct 178 ms 20140 KB Output is correct
35 Correct 188 ms 20204 KB Output is correct
36 Correct 189 ms 20144 KB Output is correct
37 Correct 187 ms 20204 KB Output is correct
38 Correct 722 ms 29728 KB Output is correct
39 Correct 698 ms 32352 KB Output is correct
40 Correct 514 ms 27012 KB Output is correct
41 Correct 485 ms 31568 KB Output is correct
42 Correct 264 ms 20580 KB Output is correct
43 Correct 233 ms 20236 KB Output is correct
44 Correct 408 ms 24932 KB Output is correct
45 Correct 371 ms 25064 KB Output is correct
46 Correct 416 ms 25344 KB Output is correct
47 Correct 223 ms 20692 KB Output is correct
48 Correct 201 ms 20328 KB Output is correct
49 Correct 315 ms 24436 KB Output is correct
50 Correct 333 ms 24932 KB Output is correct
51 Correct 341 ms 25736 KB Output is correct
52 Correct 269 ms 27380 KB Output is correct
53 Correct 341 ms 33732 KB Output is correct
54 Correct 392 ms 39140 KB Output is correct
55 Correct 322 ms 32740 KB Output is correct