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Submission #1051390

# Submission time Handle Problem Language Result Execution time Memory
1051390 2024-08-10T05:48:42 Z pcc Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 114 ms 26200 KB 
#include "supertrees.h"
#include <vector>
#include <bits/stdc++.h>
using namespace std;

const int mxn = 1010;

struct DSU{
	int dsu[mxn],sz[mxn];
	DSU(){
		iota(dsu,dsu+mxn,0);
		fill(sz,sz+mxn,1);
	}
	int root(int k){
		return k == dsu[k]?k:dsu[k] = root(dsu[k]);
	}
	void onion(int a,int b){
		a = root(a),b = root(b);
		if(a == b)return;
		if(sz[a]<sz[b])swap(a,b);
		dsu[b] = a;
		sz[a] += sz[b];
	}
};

/*
std::vector<std::vector<int>> answer(n,vector<int>(n,0));
build(answer);
return 1;
*/

DSU chain,cyc;
int N;
vector<vector<int>> ans;
vector<vector<int>> tar;
vector<int> v[mxn];
int head[mxn];

void add_edge(int a,int b){
	assert(a != b);
	ans[a][b] = ans[b][a] = 1;
}

bool check(){
	cerr<<"CHECK!"<<endl;
	for(int i = 0;i<N;i++){
		for(int j = 0;j<N;j++){
			if(i == j)continue;
			if(tar[i][j] == 0){
				if(chain.root(i) == chain.root(j))return false;
				int a = head[chain.root(i)],b = head[chain.root(j)];
				if(cyc.root(a) == cyc.root(b))return false;
			}
			else if(tar[i][j] == 1){
				if(chain.root(i) != chain.root(j))return false;
			}
			else{
				if(chain.root(i) == chain.root(j))return false;
				int a = head[chain.root(i)],b = head[chain.root(j)];
				if(cyc.root(a) != cyc.root(b))return false;
			}
		}
	}
	return true;
}


bitset<mxn> done;

bool CYCLE(){
	for(int i = 0;i<N;i++){
		if(done[i]||head[i] == -1)continue;
		cerr<<"CYC: "<<i<<endl;
		int now = head[i];
		vector<int> v;
		v.push_back(now);
		bool has = false;
		for(int j = 0;j<N;j++){
			if(tar[now][j] == 2){
				if(done[j])return false;
				has = true;
				v.push_back(head[chain.root(j)]);
			}
		}
		if(!has)continue;
		sort(v.begin(),v.end());
		v.erase(unique(v.begin(),v.end()),v.end());
		if(v.size()<=2)return false;
		cerr<<now<<"::";for(auto &j:v)cerr<<j<<' ';cerr<<endl;
		for(int i = 1;i<v.size();i++){
			add_edge(v[i-1],v[i]);
			cyc.onion(v[i-1],v[i]);
		}
		add_edge(v[0],v.back());
		for(auto &i:v)done[chain.root(i)] = true;
	}
	return true;
}

int construct(std::vector<std::vector<int>> vvv) {
	memset(head,-1,sizeof(head));
	tar = vvv;
	N = tar.size();
	for(int i = 0;i<N;i++){
		for(int j = 0;j<N;j++){
			if(tar[i][j] == 1)chain.onion(i,j);
		}
	}
	ans = vector<vector<int>>(N,vector<int>(N,0));
	for(int i = 0;i<N;i++){
		v[chain.root(i)].push_back(i);
	}
	for(int i = 0;i<N;i++){
		for(int j = 1;j<v[i].size();j++){
			add_edge(v[i][j-1],v[i][j]);
		}
		if(!v[i].empty())head[i] = v[i][0];
	}

	if(!CYCLE())return 0;

	if(!check())return 0;
	build(ans);
	return 1;
}

Compilation message

supertrees.cpp: In function 'bool CYCLE()':
supertrees.cpp:90:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   90 |   for(int i = 1;i<v.size();i++){
      |                 ~^~~~~~~~~
supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:114:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  114 |   for(int j = 1;j<v[i].size();j++){
      |                 ~^~~~~~~~~~~~

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 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 4 ms 1372 KB Output is correct
7 Correct 103 ms 25968 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 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 4 ms 1372 KB Output is correct
7 Correct 103 ms 25968 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 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 104 ms 26180 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 1116 KB Output is correct
17 Correct 53 ms 16184 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 25 ms 6852 KB Output is correct
21 Correct 100 ms 26196 KB Output is correct
22 Correct 107 ms 26172 KB Output is correct
23 Correct 110 ms 26164 KB Output is correct
24 Correct 100 ms 26192 KB Output is correct
25 Correct 43 ms 16212 KB Output is correct
26 Correct 44 ms 16208 KB Output is correct
27 Correct 110 ms 26192 KB Output is correct
28 Correct 100 ms 26192 KB Output is correct

Subtask #3
19.0 / 19.0

# 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 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 5 ms 1372 KB Output is correct
9 Correct 101 ms 26196 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 1372 KB Output is correct
13 Correct 114 ms 26180 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 2 ms 1116 KB Output is correct
17 Correct 48 ms 16196 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 344 KB Output is correct
21 Correct 26 ms 6784 KB Output is correct
22 Correct 100 ms 26200 KB Output is correct
23 Correct 101 ms 26196 KB Output is correct
24 Correct 108 ms 26192 KB Output is correct
25 Correct 44 ms 16192 KB Output is correct
26 Correct 45 ms 16212 KB Output is correct
27 Correct 101 ms 26112 KB Output is correct
28 Correct 107 ms 25984 KB Output is correct
29 Correct 44 ms 16192 KB Output is correct

Subtask #4
35.0 / 35.0

# 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 0 ms 348 KB Output is correct
4 Correct 25 ms 6748 KB Output is correct
5 Correct 104 ms 26148 KB Output is correct
6 Correct 106 ms 26180 KB Output is correct
7 Correct 106 ms 26172 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 27 ms 6836 KB Output is correct
10 Correct 104 ms 26016 KB Output is correct
11 Correct 101 ms 26176 KB Output is correct
12 Correct 114 ms 26080 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 26 ms 6748 KB Output is correct
17 Correct 101 ms 26176 KB Output is correct
18 Correct 103 ms 26176 KB Output is correct
19 Correct 104 ms 26196 KB Output is correct
20 Correct 101 ms 26144 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 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 4 ms 1372 KB Output is correct
7 Correct 103 ms 25968 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 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 104 ms 26180 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 1116 KB Output is correct
17 Correct 53 ms 16184 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 25 ms 6852 KB Output is correct
21 Correct 100 ms 26196 KB Output is correct
22 Correct 107 ms 26172 KB Output is correct
23 Correct 110 ms 26164 KB Output is correct
24 Correct 100 ms 26192 KB Output is correct
25 Correct 43 ms 16212 KB Output is correct
26 Correct 44 ms 16208 KB Output is correct
27 Correct 110 ms 26192 KB Output is correct
28 Correct 100 ms 26192 KB Output is correct
29 Correct 0 ms 348 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 5 ms 1372 KB Output is correct
37 Correct 101 ms 26196 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 1372 KB Output is correct
41 Correct 114 ms 26180 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 2 ms 1116 KB Output is correct
45 Correct 48 ms 16196 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 26 ms 6784 KB Output is correct
50 Correct 100 ms 26200 KB Output is correct
51 Correct 101 ms 26196 KB Output is correct
52 Correct 108 ms 26192 KB Output is correct
53 Correct 44 ms 16192 KB Output is correct
54 Correct 45 ms 16212 KB Output is correct
55 Correct 101 ms 26112 KB Output is correct
56 Correct 107 ms 25984 KB Output is correct
57 Correct 44 ms 16192 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 4 ms 1116 KB Output is correct
61 Correct 57 ms 16144 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 26 ms 6768 KB Output is correct
66 Correct 45 ms 16216 KB Output is correct
67 Correct 45 ms 16208 KB Output is correct
68 Correct 43 ms 16212 KB Output is correct
69 Correct 45 ms 16212 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 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 4 ms 1372 KB Output is correct
7 Correct 103 ms 25968 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 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 104 ms 26180 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 1116 KB Output is correct
17 Correct 53 ms 16184 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 25 ms 6852 KB Output is correct
21 Correct 100 ms 26196 KB Output is correct
22 Correct 107 ms 26172 KB Output is correct
23 Correct 110 ms 26164 KB Output is correct
24 Correct 100 ms 26192 KB Output is correct
25 Correct 43 ms 16212 KB Output is correct
26 Correct 44 ms 16208 KB Output is correct
27 Correct 110 ms 26192 KB Output is correct
28 Correct 100 ms 26192 KB Output is correct
29 Correct 0 ms 348 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 5 ms 1372 KB Output is correct
37 Correct 101 ms 26196 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 1372 KB Output is correct
41 Correct 114 ms 26180 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 2 ms 1116 KB Output is correct
45 Correct 48 ms 16196 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 344 KB Output is correct
49 Correct 26 ms 6784 KB Output is correct
50 Correct 100 ms 26200 KB Output is correct
51 Correct 101 ms 26196 KB Output is correct
52 Correct 108 ms 26192 KB Output is correct
53 Correct 44 ms 16192 KB Output is correct
54 Correct 45 ms 16212 KB Output is correct
55 Correct 101 ms 26112 KB Output is correct
56 Correct 107 ms 25984 KB Output is correct
57 Correct 44 ms 16192 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 104 ms 26148 KB Output is correct
63 Correct 106 ms 26180 KB Output is correct
64 Correct 106 ms 26172 KB Output is correct
65 Correct 0 ms 344 KB Output is correct
66 Correct 27 ms 6836 KB Output is correct
67 Correct 104 ms 26016 KB Output is correct
68 Correct 101 ms 26176 KB Output is correct
69 Correct 114 ms 26080 KB Output is correct
70 Correct 0 ms 344 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 26 ms 6748 KB Output is correct
74 Correct 101 ms 26176 KB Output is correct
75 Correct 103 ms 26176 KB Output is correct
76 Correct 104 ms 26196 KB Output is correct
77 Correct 101 ms 26144 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 348 KB Output is correct
80 Correct 4 ms 1116 KB Output is correct
81 Correct 57 ms 16144 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 26 ms 6768 KB Output is correct
86 Correct 45 ms 16216 KB Output is correct
87 Correct 45 ms 16208 KB Output is correct
88 Correct 43 ms 16212 KB Output is correct
89 Correct 45 ms 16212 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 1116 KB Output is correct
93 Correct 47 ms 16192 KB Output is correct
94 Correct 0 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 12 ms 4444 KB Output is correct
98 Correct 46 ms 16200 KB Output is correct
99 Correct 45 ms 16188 KB Output is correct
100 Correct 44 ms 16212 KB Output is correct
101 Correct 47 ms 16208 KB Output is correct
102 Correct 48 ms 16212 KB Output is correct
103 Correct 44 ms 16208 KB Output is correct
104 Correct 60 ms 16180 KB Output is correct
105 Correct 57 ms 16200 KB Output is correct