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Submission #727348

# Submission time Handle Problem Language Result Execution time Memory
727348 2023-04-20T12:34:40 Z Arturgo Event Hopping (BOI22_events) C++14
100 / 100
 449 ms 59268 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;

const int INFINI = 1000 * 1000 * 1000;

map<int, int> idxs;
vector<pair<int, int>> arbre((1 << 20), {INFINI, -1});

void set_min(int pos, pair<int, int> val) {
	pos += (1 << 19);
	
	while(pos != 0) {
		arbre[pos] = min(arbre[pos], val);
		pos /= 2;
	}
}

pair<int, int> get_min(int deb, int fin) {
	deb += (1 << 19);
	fin += (1 << 19);
	
	pair<int, int> mini = {INFINI, -1};
	while(deb < fin) {
		if(deb % 2 == 1) {
			mini = min(mini, arbre[deb]);
			deb++;
		}
		if(fin % 2 == 1) {
			fin--;
			mini = min(mini, arbre[fin]);
		}
		deb /= 2;
		fin /= 2;
	}
	
	return mini;
}

signed main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL); cout.tie(NULL);
	
	int N, Q;
	cin >> N >> Q;
	
	vector<pair<int, int>> inters;
	
	for(int i = 0;i < N;i++) {
		int deb, fin;
		cin >> deb >> fin;
		
		idxs[deb] = idxs[fin] = -1;
		
		inters.push_back({deb, fin});
	}
	
	int iIdx = 0;
	for(auto it = idxs.begin();it != idxs.end();it++) {
		it->second = iIdx++;
	}
	
	int iInter = 0;
	for(pair<int, int>& inter : inters) {
		inter.first = idxs[inter.first];
		inter.second = idxs[inter.second];
		set_min(inter.second, {inter.first, iInter});
		iInter++;
	}
	
	vector<vector<int>> parents(
		30, 
		vector<int>(inters.size(), -1)
	);
	
	for(int iInter = 0;iInter < (int)inters.size();iInter++) {
		parents[0][iInter] = get_min(inters[iInter].first, inters[iInter].second + 1).second;
	}
	
	for(int lvl = 1;lvl < 30;lvl++) {
		for(int iInter = 0;iInter < (int)inters.size();iInter++) {
			parents[lvl][iInter] = parents[lvl - 1][parents[lvl - 1][iInter]];
		}
	}
	
	for(int iReq = 0;iReq < Q;iReq++) {
		int deb, fin;
		cin >> deb >> fin;
		deb--; fin--;
		
		if(inters[deb].second > inters[fin].second) {
			cout << "impossible\n";
			continue;
		}
		
		if(deb == fin) {
			cout << "0\n";
			continue;
		}
		
		if(inters[deb].second <= inters[fin].second && inters[deb].second >= inters[fin].first) {
			cout << "1\n";
			continue;
		}
		
		int cur = fin;
		int nbSteps = 0;
		for(int iHop = 29;iHop >= 0;iHop--) {
			if(inters[parents[iHop][cur]].first > inters[deb].second) {
				nbSteps += (1 << iHop);
				cur = parents[iHop][cur];
			}
		}
		
		if(inters[parents[0][cur]].first <= inters[deb].second) {
			cout << nbSteps + 2 << "\n";
		}
		else {
			cout << "impossible\n";
		}
	}
	
	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 16716 KB Output is correct
2 Correct 225 ms 49320 KB Output is correct
3 Correct 237 ms 49400 KB Output is correct
4 Correct 341 ms 49348 KB Output is correct
5 Correct 242 ms 50044 KB Output is correct
6 Correct 281 ms 50716 KB Output is correct
7 Correct 316 ms 50828 KB Output is correct
8 Correct 371 ms 56180 KB Output is correct
9 Correct 384 ms 56196 KB Output is correct
10 Correct 260 ms 49768 KB Output is correct
11 Correct 329 ms 52288 KB Output is correct
12 Correct 191 ms 52252 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 16716 KB Output is correct
2 Correct 7 ms 16724 KB Output is correct
3 Correct 8 ms 16980 KB Output is correct
4 Correct 12 ms 16996 KB Output is correct
5 Correct 10 ms 17028 KB Output is correct
6 Correct 15 ms 16984 KB Output is correct
7 Correct 14 ms 17140 KB Output is correct
8 Correct 11 ms 17108 KB Output is correct
9 Correct 9 ms 16980 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 16716 KB Output is correct
2 Correct 7 ms 16724 KB Output is correct
3 Correct 8 ms 16980 KB Output is correct
4 Correct 12 ms 16996 KB Output is correct
5 Correct 10 ms 17028 KB Output is correct
6 Correct 15 ms 16984 KB Output is correct
7 Correct 14 ms 17140 KB Output is correct
8 Correct 11 ms 17108 KB Output is correct
9 Correct 9 ms 16980 KB Output is correct
10 Correct 11 ms 16688 KB Output is correct
11 Correct 8 ms 16724 KB Output is correct
12 Correct 11 ms 17020 KB Output is correct
13 Correct 47 ms 17064 KB Output is correct
14 Correct 9 ms 17012 KB Output is correct
15 Correct 11 ms 16980 KB Output is correct
16 Correct 14 ms 17152 KB Output is correct
17 Correct 12 ms 17152 KB Output is correct
18 Correct 10 ms 16948 KB Output is correct
19 Correct 54 ms 19844 KB Output is correct
20 Correct 65 ms 19788 KB Output is correct
21 Correct 55 ms 20052 KB Output is correct
22 Correct 109 ms 20192 KB Output is correct
23 Correct 38 ms 20300 KB Output is correct
24 Correct 33 ms 20328 KB Output is correct
25 Correct 43 ms 19916 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 16716 KB Output is correct
2 Correct 7 ms 16724 KB Output is correct
3 Correct 8 ms 16980 KB Output is correct
4 Correct 12 ms 16996 KB Output is correct
5 Correct 10 ms 17028 KB Output is correct
6 Correct 15 ms 16984 KB Output is correct
7 Correct 14 ms 17140 KB Output is correct
8 Correct 11 ms 17108 KB Output is correct
9 Correct 9 ms 16980 KB Output is correct
10 Correct 12 ms 16772 KB Output is correct
11 Correct 11 ms 16752 KB Output is correct
12 Correct 10 ms 17020 KB Output is correct
13 Correct 9 ms 17024 KB Output is correct
14 Correct 9 ms 16984 KB Output is correct
15 Correct 9 ms 17072 KB Output is correct
16 Correct 8 ms 17108 KB Output is correct
17 Correct 10 ms 17048 KB Output is correct
18 Correct 10 ms 17016 KB Output is correct
19 Correct 266 ms 50784 KB Output is correct
20 Correct 191 ms 49908 KB Output is correct
21 Correct 253 ms 50620 KB Output is correct
22 Correct 221 ms 53020 KB Output is correct
23 Correct 320 ms 57036 KB Output is correct
24 Correct 275 ms 56960 KB Output is correct
25 Correct 46 ms 43736 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 335 ms 49416 KB Output is correct
2 Correct 286 ms 49524 KB Output is correct
3 Correct 279 ms 49368 KB Output is correct
4 Correct 399 ms 56176 KB Output is correct
5 Correct 258 ms 49708 KB Output is correct
6 Correct 352 ms 55856 KB Output is correct
7 Correct 401 ms 55736 KB Output is correct
8 Correct 333 ms 55880 KB Output is correct
9 Correct 270 ms 56960 KB Output is correct
10 Correct 392 ms 58464 KB Output is correct
11 Correct 386 ms 58372 KB Output is correct
12 Correct 428 ms 58556 KB Output is correct

Subtask #6
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 16716 KB Output is correct
2 Correct 225 ms 49320 KB Output is correct
3 Correct 237 ms 49400 KB Output is correct
4 Correct 341 ms 49348 KB Output is correct
5 Correct 242 ms 50044 KB Output is correct
6 Correct 281 ms 50716 KB Output is correct
7 Correct 316 ms 50828 KB Output is correct
8 Correct 371 ms 56180 KB Output is correct
9 Correct 384 ms 56196 KB Output is correct
10 Correct 260 ms 49768 KB Output is correct
11 Correct 329 ms 52288 KB Output is correct
12 Correct 191 ms 52252 KB Output is correct
13 Correct 9 ms 16716 KB Output is correct
14 Correct 7 ms 16724 KB Output is correct
15 Correct 8 ms 16980 KB Output is correct
16 Correct 12 ms 16996 KB Output is correct
17 Correct 10 ms 17028 KB Output is correct
18 Correct 15 ms 16984 KB Output is correct
19 Correct 14 ms 17140 KB Output is correct
20 Correct 11 ms 17108 KB Output is correct
21 Correct 9 ms 16980 KB Output is correct
22 Correct 11 ms 16688 KB Output is correct
23 Correct 8 ms 16724 KB Output is correct
24 Correct 11 ms 17020 KB Output is correct
25 Correct 47 ms 17064 KB Output is correct
26 Correct 9 ms 17012 KB Output is correct
27 Correct 11 ms 16980 KB Output is correct
28 Correct 14 ms 17152 KB Output is correct
29 Correct 12 ms 17152 KB Output is correct
30 Correct 10 ms 16948 KB Output is correct
31 Correct 54 ms 19844 KB Output is correct
32 Correct 65 ms 19788 KB Output is correct
33 Correct 55 ms 20052 KB Output is correct
34 Correct 109 ms 20192 KB Output is correct
35 Correct 38 ms 20300 KB Output is correct
36 Correct 33 ms 20328 KB Output is correct
37 Correct 43 ms 19916 KB Output is correct
38 Correct 12 ms 16772 KB Output is correct
39 Correct 11 ms 16752 KB Output is correct
40 Correct 10 ms 17020 KB Output is correct
41 Correct 9 ms 17024 KB Output is correct
42 Correct 9 ms 16984 KB Output is correct
43 Correct 9 ms 17072 KB Output is correct
44 Correct 8 ms 17108 KB Output is correct
45 Correct 10 ms 17048 KB Output is correct
46 Correct 10 ms 17016 KB Output is correct
47 Correct 266 ms 50784 KB Output is correct
48 Correct 191 ms 49908 KB Output is correct
49 Correct 253 ms 50620 KB Output is correct
50 Correct 221 ms 53020 KB Output is correct
51 Correct 320 ms 57036 KB Output is correct
52 Correct 275 ms 56960 KB Output is correct
53 Correct 46 ms 43736 KB Output is correct
54 Correct 335 ms 49416 KB Output is correct
55 Correct 286 ms 49524 KB Output is correct
56 Correct 279 ms 49368 KB Output is correct
57 Correct 399 ms 56176 KB Output is correct
58 Correct 258 ms 49708 KB Output is correct
59 Correct 352 ms 55856 KB Output is correct
60 Correct 401 ms 55736 KB Output is correct
61 Correct 333 ms 55880 KB Output is correct
62 Correct 270 ms 56960 KB Output is correct
63 Correct 392 ms 58464 KB Output is correct
64 Correct 386 ms 58372 KB Output is correct
65 Correct 428 ms 58556 KB Output is correct
66 Correct 9 ms 16724 KB Output is correct
67 Correct 330 ms 52464 KB Output is correct
68 Correct 303 ms 52504 KB Output is correct
69 Correct 308 ms 52448 KB Output is correct
70 Correct 286 ms 53172 KB Output is correct
71 Correct 288 ms 53792 KB Output is correct
72 Correct 306 ms 53948 KB Output is correct
73 Correct 362 ms 59200 KB Output is correct
74 Correct 354 ms 59268 KB Output is correct
75 Correct 276 ms 52936 KB Output is correct
76 Correct 374 ms 55420 KB Output is correct
77 Correct 130 ms 52272 KB Output is correct
78 Correct 12 ms 16648 KB Output is correct
79 Correct 23 ms 17024 KB Output is correct
80 Correct 11 ms 16980 KB Output is correct
81 Correct 8 ms 17012 KB Output is correct
82 Correct 9 ms 17020 KB Output is correct
83 Correct 11 ms 17236 KB Output is correct
84 Correct 12 ms 17156 KB Output is correct
85 Correct 10 ms 17016 KB Output is correct
86 Correct 68 ms 19932 KB Output is correct
87 Correct 50 ms 19860 KB Output is correct
88 Correct 50 ms 19996 KB Output is correct
89 Correct 58 ms 20200 KB Output is correct
90 Correct 43 ms 20244 KB Output is correct
91 Correct 36 ms 20360 KB Output is correct
92 Correct 45 ms 19916 KB Output is correct
93 Correct 172 ms 50776 KB Output is correct
94 Correct 248 ms 49968 KB Output is correct
95 Correct 198 ms 50620 KB Output is correct
96 Correct 353 ms 53016 KB Output is correct
97 Correct 299 ms 56964 KB Output is correct
98 Correct 313 ms 56960 KB Output is correct
99 Correct 67 ms 43752 KB Output is correct
100 Correct 449 ms 58848 KB Output is correct
101 Correct 380 ms 58852 KB Output is correct
102 Correct 352 ms 58984 KB Output is correct
103 Correct 377 ms 58476 KB Output is correct
104 Correct 424 ms 58368 KB Output is correct
105 Correct 376 ms 58560 KB Output is correct
106 Correct 260 ms 50308 KB Output is correct
107 Correct 271 ms 51924 KB Output is correct
108 Correct 360 ms 52552 KB Output is correct
109 Correct 259 ms 52668 KB Output is correct
110 Correct 363 ms 58796 KB Output is correct
111 Correct 345 ms 58772 KB Output is correct