Submission #1049976

# Submission time Handle Problem Language Result Execution time Memory
1049976 2024-08-09T06:31:53 Z mychecksedad Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
112 ms 26196 KB
#include "supertrees.h"
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
#define pb push_back
#define vi vector<int>
 

struct Dsu{
	vector<int> p, s;
	Dsu(int n){
		p.resize(n+1);
		s.resize(n+1,1);
		for(int i = 1; i <= n; ++i ) p[i]=i;
	}
	int find(int v){
		if(p[v] == v)return v;
		return p[v]=find(p[v]);
	}
	void merge(int a, int b){
		a = find(a);
		b = find(b);
		if(a != b){
			if(s[a]>s[b]) swap(a,b);
			p[a] = b;
			s[b] += s[a];
		}
	}
};
vector<vector<int>> P;
bool solve(vector<int> v, vector<vector<int>> &ans){
	if(v.size() <= 1) return 1;
	for(int u: v){
		for(int x: v){
			if(P[u][x] == 0 || P[u][x] == 3){
				return 0;
			}
		}
	}
	vector<int> cycle;
	vector<vector<int>> onepiece;
	vector<bool> used(v.size());
	for(int i = 0; i < v.size(); ++i){
		bool fulltwo = 1;
		if(used[i]) continue;
		for(int j = i + 1; j < v.size(); ++j){
			if(P[v[i]][v[j]] == 1){
				if(used[j]){
					return 0;
				}
				fulltwo = 0;
				onepiece.pb(vector<int>{v[i], v[j]});
				used[i] = used[j] = 1;
				for(int k = 0; k < v.size(); ++k){	
					if(!used[k]){
						int co = 0;
						for(int c: onepiece.back()){
							if(P[c][v[k]] == 1){
								++co;
							}
						}
						if(co != 0 && co != onepiece.back().size()){
							return 0;
						}
						if(co == onepiece.back().size()){
							onepiece.back().pb(v[k]);
							used[k] = 1;
						}
					}
				}
				break;
			}
		}
		if(fulltwo) cycle.pb(v[i]);
		// else assert(false);
	}


	for(auto x: onepiece){
		for(int j = 0; j + 1 < x.size(); ++j){
			ans[x[j]][x[j + 1]] = ans[x[j + 1]][x[j]] = 1;
		}
		cycle.pb(x[0]);
	}
	if(cycle.size() == 1) return 1;
	if(cycle.size() == 2) return 0;
	for(int i = 0; i < cycle.size(); ++i){
		ans[cycle[i]][cycle[(i + 1) % cycle.size()]] = ans[cycle[(i + 1) % cycle.size()]][cycle[i]] = 1;
	}

	return 1;
}

int construct(std::vector<std::vector<int>> p) {
	int n = p.size();
	P = p;
	vector<vector<int>> answer(n, vector<int>(n));

	Dsu d(n);

	for(int i = 0; i < n; ++i){
		for(int j = 1; j < n; ++j){
			if(p[i][j] > 0) d.merge(i, j);
		}
	}

	vector<vector<int>> C(n);
	for(int i = 0; i < n; ++i){
		C[d.find(i)].pb(i);
	}
	for(auto v: C){
		bool ok = solve(v, answer);
		if(!ok) return 0;
	}


	build(answer);
	return 1;
}

Compilation message

supertrees.cpp: In function 'bool solve(std::vector<int>, std::vector<std::vector<int> >&)':
supertrees.cpp:43:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   43 |  for(int i = 0; i < v.size(); ++i){
      |                 ~~^~~~~~~~~~
supertrees.cpp:46:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   46 |   for(int j = i + 1; j < v.size(); ++j){
      |                      ~~^~~~~~~~~~
supertrees.cpp:54:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |     for(int k = 0; k < v.size(); ++k){
      |                    ~~^~~~~~~~~~
supertrees.cpp:62:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |       if(co != 0 && co != onepiece.back().size()){
      |                     ~~~^~~~~~~~~~~~~~~~~~~~~~~~~
supertrees.cpp:65:13: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |       if(co == onepiece.back().size()){
      |          ~~~^~~~~~~~~~~~~~~~~~~~~~~~~
supertrees.cpp:80:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |   for(int j = 0; j + 1 < x.size(); ++j){
      |                  ~~~~~~^~~~~~~~~~
supertrees.cpp:87:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   87 |  for(int i = 0; i < cycle.size(); ++i){
      |                 ~~^~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 1 ms 348 KB Output is correct
6 Correct 4 ms 1372 KB Output is correct
7 Correct 97 ms 26044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 1 ms 348 KB Output is correct
6 Correct 4 ms 1372 KB Output is correct
7 Correct 97 ms 26044 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 4 ms 1432 KB Output is correct
13 Correct 93 ms 26124 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 54 ms 16136 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 24 ms 6864 KB Output is correct
21 Correct 96 ms 25948 KB Output is correct
22 Correct 100 ms 25940 KB Output is correct
23 Correct 101 ms 25940 KB Output is correct
24 Correct 100 ms 26196 KB Output is correct
25 Correct 42 ms 16044 KB Output is correct
26 Correct 41 ms 16148 KB Output is correct
27 Correct 100 ms 26124 KB Output is correct
28 Correct 112 ms 26128 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 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 344 KB Output is correct
8 Correct 4 ms 1452 KB Output is correct
9 Correct 111 ms 26144 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 4 ms 1448 KB Output is correct
13 Correct 97 ms 26132 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 860 KB Output is correct
17 Correct 59 ms 16208 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 24 ms 6748 KB Output is correct
22 Correct 97 ms 25940 KB Output is correct
23 Correct 94 ms 25936 KB Output is correct
24 Correct 107 ms 25948 KB Output is correct
25 Correct 41 ms 16152 KB Output is correct
26 Correct 43 ms 16208 KB Output is correct
27 Correct 97 ms 26140 KB Output is correct
28 Correct 101 ms 26136 KB Output is correct
29 Correct 41 ms 16136 KB Output is correct
# 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 0 ms 348 KB Output is correct
4 Correct 25 ms 6748 KB Output is correct
5 Correct 95 ms 25940 KB Output is correct
6 Correct 95 ms 25936 KB Output is correct
7 Correct 100 ms 26116 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 24 ms 6744 KB Output is correct
10 Correct 97 ms 25940 KB Output is correct
11 Correct 106 ms 25940 KB Output is correct
12 Correct 108 ms 26196 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 25 ms 6748 KB Output is correct
17 Correct 97 ms 25936 KB Output is correct
18 Correct 101 ms 25940 KB Output is correct
19 Correct 96 ms 25936 KB Output is correct
20 Correct 96 ms 26192 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 1 ms 348 KB Output is correct
6 Correct 4 ms 1372 KB Output is correct
7 Correct 97 ms 26044 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 4 ms 1432 KB Output is correct
13 Correct 93 ms 26124 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 54 ms 16136 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 24 ms 6864 KB Output is correct
21 Correct 96 ms 25948 KB Output is correct
22 Correct 100 ms 25940 KB Output is correct
23 Correct 101 ms 25940 KB Output is correct
24 Correct 100 ms 26196 KB Output is correct
25 Correct 42 ms 16044 KB Output is correct
26 Correct 41 ms 16148 KB Output is correct
27 Correct 100 ms 26124 KB Output is correct
28 Correct 112 ms 26128 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 600 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 344 KB Output is correct
36 Correct 4 ms 1452 KB Output is correct
37 Correct 111 ms 26144 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 4 ms 1448 KB Output is correct
41 Correct 97 ms 26132 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 59 ms 16208 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 24 ms 6748 KB Output is correct
50 Correct 97 ms 25940 KB Output is correct
51 Correct 94 ms 25936 KB Output is correct
52 Correct 107 ms 25948 KB Output is correct
53 Correct 41 ms 16152 KB Output is correct
54 Correct 43 ms 16208 KB Output is correct
55 Correct 97 ms 26140 KB Output is correct
56 Correct 101 ms 26136 KB Output is correct
57 Correct 41 ms 16136 KB Output is correct
58 Correct 1 ms 344 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 2 ms 860 KB Output is correct
61 Correct 49 ms 16212 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 24 ms 6792 KB Output is correct
66 Correct 46 ms 16208 KB Output is correct
67 Correct 46 ms 16152 KB Output is correct
68 Correct 44 ms 16212 KB Output is correct
69 Correct 42 ms 16152 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 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 1 ms 348 KB Output is correct
6 Correct 4 ms 1372 KB Output is correct
7 Correct 97 ms 26044 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 4 ms 1432 KB Output is correct
13 Correct 93 ms 26124 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 54 ms 16136 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 24 ms 6864 KB Output is correct
21 Correct 96 ms 25948 KB Output is correct
22 Correct 100 ms 25940 KB Output is correct
23 Correct 101 ms 25940 KB Output is correct
24 Correct 100 ms 26196 KB Output is correct
25 Correct 42 ms 16044 KB Output is correct
26 Correct 41 ms 16148 KB Output is correct
27 Correct 100 ms 26124 KB Output is correct
28 Correct 112 ms 26128 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 600 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 344 KB Output is correct
36 Correct 4 ms 1452 KB Output is correct
37 Correct 111 ms 26144 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 4 ms 1448 KB Output is correct
41 Correct 97 ms 26132 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 2 ms 860 KB Output is correct
45 Correct 59 ms 16208 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 24 ms 6748 KB Output is correct
50 Correct 97 ms 25940 KB Output is correct
51 Correct 94 ms 25936 KB Output is correct
52 Correct 107 ms 25948 KB Output is correct
53 Correct 41 ms 16152 KB Output is correct
54 Correct 43 ms 16208 KB Output is correct
55 Correct 97 ms 26140 KB Output is correct
56 Correct 101 ms 26136 KB Output is correct
57 Correct 41 ms 16136 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 25 ms 6748 KB Output is correct
62 Correct 95 ms 25940 KB Output is correct
63 Correct 95 ms 25936 KB Output is correct
64 Correct 100 ms 26116 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 24 ms 6744 KB Output is correct
67 Correct 97 ms 25940 KB Output is correct
68 Correct 106 ms 25940 KB Output is correct
69 Correct 108 ms 26196 KB Output is correct
70 Correct 1 ms 348 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 25 ms 6748 KB Output is correct
74 Correct 97 ms 25936 KB Output is correct
75 Correct 101 ms 25940 KB Output is correct
76 Correct 96 ms 25936 KB Output is correct
77 Correct 96 ms 26192 KB Output is correct
78 Correct 1 ms 344 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 2 ms 860 KB Output is correct
81 Correct 49 ms 16212 KB Output is correct
82 Correct 0 ms 348 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 24 ms 6792 KB Output is correct
86 Correct 46 ms 16208 KB Output is correct
87 Correct 46 ms 16152 KB Output is correct
88 Correct 44 ms 16212 KB Output is correct
89 Correct 42 ms 16152 KB Output is correct
90 Correct 0 ms 344 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 2 ms 860 KB Output is correct
93 Correct 50 ms 16464 KB Output is correct
94 Correct 0 ms 344 KB Output is correct
95 Correct 0 ms 344 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 11 ms 4420 KB Output is correct
98 Correct 43 ms 16136 KB Output is correct
99 Correct 50 ms 16152 KB Output is correct
100 Correct 42 ms 16208 KB Output is correct
101 Correct 41 ms 16208 KB Output is correct
102 Correct 43 ms 16208 KB Output is correct
103 Correct 43 ms 16212 KB Output is correct
104 Correct 45 ms 16132 KB Output is correct
105 Correct 54 ms 16208 KB Output is correct