oj.uz

Submission #977822

# Submission time Handle Problem Language Result Execution time Memory
977822 2024-05-08T11:27:43 Z SmuggingSpun Connecting Supertrees (IOI20_supertrees) C++14
100 / 100
 202 ms 23640 KB 
#include "supertrees.h"
#include<bits/stdc++.h>
using namespace std;
int construct(vector<vector<int>>p){
	int n = p.size();
	bool is_sub1 = true, is_sub2 = true, is_sub3 = true;
	for(int i = 0; i < n; i++){
		for(int j = 0; j < n; j++){
			if(p[i][j] != 1){
				is_sub1 = false;
			}
			if(p[i][j] > 1){
				is_sub2 = false;
			}
			if(p[i][j] != 0 && p[i][j] != 2){
				is_sub3 = false;
			}
		}
	}
	if(is_sub1){
		p = vector<vector<int>>(n, vector<int>(n, 0));
		for(int i = 1; i < n; i++){
			p[i][i - 1] = p[i - 1][i] = 1;
		}
		build(p);
		return 1;
	}
	if(is_sub2){
		vector<int>par(n);
		iota(par.begin(), par.end(), 0);
		function<int(int)>find_set;
		find_set = [&] (int n){
			return n == par[n] ? n : par[n] = find_set(par[n]);	
		};
		function<void(int, int)>merge = [&] (int a, int b){
			par[find_set(a)] = find_set(b);
		};
		vector<bool>vis(n, false);
		vector<vector<int>>edge(n);
		for(int i = 0; i < n; i++){
			if(vis[i]){
				for(int j = 0; j < n; j++){
					if(i != j && int(find_set(i) == find_set(j)) != p[i][j]){
						return 0;
					}
				}
				continue;
			}
			for(int j = 0; j < n; j++){
				if(i != j && p[i][j] == 0 && find_set(i) == find_set(j)){
					return 0;
				}
				if(p[i][j] == 1){
					merge(i, j);
					vis[j] = true;
				}
			}
		}
		for(int i = 0; i < n; i++){
			edge[find_set(i)].emplace_back(i);
		}
		p = vector<vector<int>>(n, vector<int>(n, 0));
		for(int i = 0; i < n; i++){
			for(int j = 1; j < edge[i].size(); j++){
				p[edge[i][j]][edge[i][j - 1]] = p[edge[i][j - 1]][edge[i][j]] = 1;
			}
		}
		build(p);
		return 1;
	}
	if(is_sub3){
		vector<int>par(n);
		iota(par.begin(), par.end(), 0);
		function<int(int)>find_set;
		find_set = [&] (int n){
			return n == par[n] ? n : par[n] = find_set(par[n]);	
		};
		function<void(int, int)>merge = [&] (int a, int b){
			par[find_set(a)] = find_set(b);
		};
		vector<bool>vis(n, false);
		vector<vector<int>>edge(n);
		for(int i = 0; i < n; i++){
			if(vis[i]){
				for(int j = 0; j < n; j++){
					if(i != j && (find_set(i) == find_set(j)) != (p[i][j] == 2)){
						return 0;
					}
				}
				continue;
			}
			for(int j = 0; j < n; j++){
				if(i != j && p[i][j] == 0 && find_set(i) == find_set(j)){
					return 0;
				}
				if(p[i][j] == 2){
					merge(i, j);
					vis[j] = true;
				}
			}
		}
		for(int i = 0; i < n; i++){
			edge[find_set(i)].emplace_back(i);
		}
		p = vector<vector<int>>(n, vector<int>(n, 0));
		for(int i = 0; i < n; i++){
			if(edge[i].size() == 2){
				return 0;
			}
			if(edge[i].size() > 2){
				edge[i].emplace_back(edge[i][0]);
				for(int j = 1; j < edge[i].size(); j++){
					p[edge[i][j]][edge[i][j - 1]] = p[edge[i][j - 1]][edge[i][j]] = 1;
				}
			}
		}
		build(p);
		return 1;
	}
	vector<bool>vis(n, false);
	vector<vector<int>>ans(n, vector<int>(n, 0));
	for(int i = 0; i < n; i++){
		if(!vis[i]){
			vector<int>vertex;
			for(int j = i; j < n; j++){
				if(p[i][j] > 0){
					vertex.emplace_back(j);
					vis[j] = true;
				}
			}
			vector<vector<int>>part;
			for(int& u : vertex){
				for(int& v : vertex){
					if(p[u][v] == 0){
						return 0;
					}
				}
				if(vis[u]){
					part.emplace_back(vector<int>());
					for(int& v : vertex){
						if(vis[v] && p[u][v] == 1){
							part.back().emplace_back(v);
							vis[v] = false;
						}
					}
				}
			}
			if(part.size() == 2){
				return 0;
			}
			for(int i = 0; i < part.size(); i++){
				for(int j = i + 1; j < part.size(); j++){
					assert(part[i][0] != part[j][0]);
				}
			}
			for(auto& x : part){
				for(auto& y : part){
					for(int& i : x){
						for(int& j : y){
							if((x[0] != y[0]) != (p[i][j] == 2)){
								return 0;
							}
						}
					}
				}
				for(int i = 1; i < x.size(); i++){
					ans[x[i]][x[i - 1]] = ans[x[i - 1]][x[i]] = 1;
				}
			}
			for(int i = 0; i < part.size(); i++){
				int u = part[i][0], v = part[(i + 1) % part.size()][0];
				if(u != v){
					ans[u][v] = ans[v][u] = 1;
				}
			}
			for(int& i : vertex){
				for(int j = 0; j < n; j++){
					if(vis[j] && p[i][j] > 0){
						return 0;
					}
				}
			}
			for(int& i : vertex){
				vis[i] = true;
			}
		}
	}
	build(ans);
	return 1;
}

Compilation message

supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:64:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   64 |    for(int j = 1; j < edge[i].size(); j++){
      |                   ~~^~~~~~~~~~~~~~~~
supertrees.cpp:112:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |     for(int j = 1; j < edge[i].size(); j++){
      |                    ~~^~~~~~~~~~~~~~~~
supertrees.cpp:151:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  151 |    for(int i = 0; i < part.size(); i++){
      |                   ~~^~~~~~~~~~~~~
supertrees.cpp:152:26: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  152 |     for(int j = i + 1; j < part.size(); j++){
      |                        ~~^~~~~~~~~~~~~
supertrees.cpp:166:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  166 |     for(int i = 1; i < x.size(); i++){
      |                    ~~^~~~~~~~~~
supertrees.cpp:170:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  170 |    for(int i = 0; i < part.size(); i++){
      |                   ~~^~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1116 KB Output is correct
7 Correct 146 ms 18044 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1116 KB Output is correct
7 Correct 146 ms 18044 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 6 ms 1116 KB Output is correct
13 Correct 158 ms 18260 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 70 ms 8212 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 41 ms 4752 KB Output is correct
21 Correct 200 ms 18060 KB Output is correct
22 Correct 164 ms 18336 KB Output is correct
23 Correct 173 ms 18252 KB Output is correct
24 Correct 159 ms 18260 KB Output is correct
25 Correct 74 ms 8200 KB Output is correct
26 Correct 71 ms 8528 KB Output is correct
27 Correct 173 ms 18244 KB Output is correct
28 Correct 160 ms 18256 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 7 ms 1116 KB Output is correct
9 Correct 158 ms 18288 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 7 ms 1116 KB Output is correct
13 Correct 150 ms 22068 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 73 ms 12060 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 38 ms 6236 KB Output is correct
22 Correct 161 ms 23636 KB Output is correct
23 Correct 155 ms 23440 KB Output is correct
24 Correct 160 ms 23452 KB Output is correct
25 Correct 71 ms 13348 KB Output is correct
26 Correct 69 ms 13392 KB Output is correct
27 Correct 157 ms 23308 KB Output is correct
28 Correct 190 ms 23408 KB Output is correct
29 Correct 69 ms 13360 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 45 ms 4752 KB Output is correct
5 Correct 202 ms 18260 KB Output is correct
6 Correct 164 ms 18444 KB Output is correct
7 Correct 196 ms 18228 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 46 ms 6144 KB Output is correct
10 Correct 155 ms 23380 KB Output is correct
11 Correct 156 ms 23440 KB Output is correct
12 Correct 160 ms 23640 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 416 KB Output is correct
16 Correct 39 ms 6236 KB Output is correct
17 Correct 161 ms 23488 KB Output is correct
18 Correct 157 ms 23368 KB Output is correct
19 Correct 156 ms 23308 KB Output is correct
20 Correct 157 ms 23632 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1116 KB Output is correct
7 Correct 146 ms 18044 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 6 ms 1116 KB Output is correct
13 Correct 158 ms 18260 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 70 ms 8212 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 41 ms 4752 KB Output is correct
21 Correct 200 ms 18060 KB Output is correct
22 Correct 164 ms 18336 KB Output is correct
23 Correct 173 ms 18252 KB Output is correct
24 Correct 159 ms 18260 KB Output is correct
25 Correct 74 ms 8200 KB Output is correct
26 Correct 71 ms 8528 KB Output is correct
27 Correct 173 ms 18244 KB Output is correct
28 Correct 160 ms 18256 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 7 ms 1116 KB Output is correct
37 Correct 158 ms 18288 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 7 ms 1116 KB Output is correct
41 Correct 150 ms 22068 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 73 ms 12060 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 0 ms 344 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 38 ms 6236 KB Output is correct
50 Correct 161 ms 23636 KB Output is correct
51 Correct 155 ms 23440 KB Output is correct
52 Correct 160 ms 23452 KB Output is correct
53 Correct 71 ms 13348 KB Output is correct
54 Correct 69 ms 13392 KB Output is correct
55 Correct 157 ms 23308 KB Output is correct
56 Correct 190 ms 23408 KB Output is correct
57 Correct 69 ms 13360 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 3 ms 928 KB Output is correct
61 Correct 76 ms 13396 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 40 ms 6228 KB Output is correct
66 Correct 70 ms 13308 KB Output is correct
67 Correct 71 ms 13556 KB Output is correct
68 Correct 78 ms 13704 KB Output is correct
69 Correct 83 ms 13392 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 600 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1116 KB Output is correct
7 Correct 146 ms 18044 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 6 ms 1116 KB Output is correct
13 Correct 158 ms 18260 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 600 KB Output is correct
17 Correct 70 ms 8212 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 41 ms 4752 KB Output is correct
21 Correct 200 ms 18060 KB Output is correct
22 Correct 164 ms 18336 KB Output is correct
23 Correct 173 ms 18252 KB Output is correct
24 Correct 159 ms 18260 KB Output is correct
25 Correct 74 ms 8200 KB Output is correct
26 Correct 71 ms 8528 KB Output is correct
27 Correct 173 ms 18244 KB Output is correct
28 Correct 160 ms 18256 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 7 ms 1116 KB Output is correct
37 Correct 158 ms 18288 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 7 ms 1116 KB Output is correct
41 Correct 150 ms 22068 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 73 ms 12060 KB Output is correct
46 Correct 1 ms 344 KB Output is correct
47 Correct 0 ms 344 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 38 ms 6236 KB Output is correct
50 Correct 161 ms 23636 KB Output is correct
51 Correct 155 ms 23440 KB Output is correct
52 Correct 160 ms 23452 KB Output is correct
53 Correct 71 ms 13348 KB Output is correct
54 Correct 69 ms 13392 KB Output is correct
55 Correct 157 ms 23308 KB Output is correct
56 Correct 190 ms 23408 KB Output is correct
57 Correct 69 ms 13360 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 45 ms 4752 KB Output is correct
62 Correct 202 ms 18260 KB Output is correct
63 Correct 164 ms 18444 KB Output is correct
64 Correct 196 ms 18228 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 46 ms 6144 KB Output is correct
67 Correct 155 ms 23380 KB Output is correct
68 Correct 156 ms 23440 KB Output is correct
69 Correct 160 ms 23640 KB Output is correct
70 Correct 0 ms 344 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 0 ms 416 KB Output is correct
73 Correct 39 ms 6236 KB Output is correct
74 Correct 161 ms 23488 KB Output is correct
75 Correct 157 ms 23368 KB Output is correct
76 Correct 156 ms 23308 KB Output is correct
77 Correct 157 ms 23632 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 3 ms 928 KB Output is correct
81 Correct 76 ms 13396 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 40 ms 6228 KB Output is correct
86 Correct 70 ms 13308 KB Output is correct
87 Correct 71 ms 13556 KB Output is correct
88 Correct 78 ms 13704 KB Output is correct
89 Correct 83 ms 13392 KB Output is correct
90 Correct 1 ms 436 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 3 ms 860 KB Output is correct
93 Correct 69 ms 13400 KB Output is correct
94 Correct 1 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 17 ms 3676 KB Output is correct
98 Correct 73 ms 13424 KB Output is correct
99 Correct 70 ms 13392 KB Output is correct
100 Correct 68 ms 13396 KB Output is correct
101 Correct 69 ms 13348 KB Output is correct
102 Correct 67 ms 13396 KB Output is correct
103 Correct 68 ms 13572 KB Output is correct
104 Correct 84 ms 13392 KB Output is correct
105 Correct 72 ms 13392 KB Output is correct