oj.uz

Submission #600184

# Submission time Handle Problem Language Result Execution time Memory
600184 2022-07-20T13:58:06 Z definitelynotmee Connecting Supertrees (IOI20_supertrees) C++17
21 / 100
 173 ms 22108 KB 
#include "supertrees.h"
#include<bits/stdc++.h>
#define ff first
#define ss second
#define all(x) x.begin(), x.end()
using namespace std;
using ll = long long;
using pii = pair<int,int>;
using pll = pair<ll,ll>;
template<typename T>
using matrix= vector<vector<T>>;

struct UnionFind{
	vector<int> pai;
	matrix<int> group;

	int n;
	UnionFind(int sz = 0){
		n = sz;
		pai = vector<int>(n);
		iota(all(pai),0);
		group = matrix<int>(n);
		for(int i = 0; i < n; i++)
			group[i].push_back(i);
	}
	int find(int id){
		if(pai[id] == id)
			return id;
		return pai[id] = find(pai[id]);
	}
	void onion(int a, int b){
		a = find(a);
		b = find(b);
		if(a == b)
			return;
		if(group[a].size() > group[b].size())
			swap(a,b);
		for(int i : group[a])
			group[b].push_back(i);
		group[a].clear();
		pai[a] = b;
	}
};

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

	UnionFind connected(n);

	for (int i = 0; i < n; i++) {
		for(int j = 0; j < n; j++){
			if(p[i][j])
				connected.onion(i,j);
		}
	}
	auto solveforgroup =[&](vector<int>& g){
		vector<int> incall(n);
		for(int i : g)
			incall[i] = 1;

		int line = 1;
		for(int i : g){
			for(int j : g){
				if(!p[i][j])
					return 0;
				line&=p[i][j];
			}
		}
		if(line){
			for(int i = 1; i < g.size(); i++){
				resp[g[i-1]][g[i]] = 1;
				resp[g[i]][g[i-1]] = 1;
			}
			return 1;
		}
		if(g.size() == 2){
			return 0;
		}
		vector<int> count1(n);

		for(int i : g){
			for(int j : g){
				count1[i]+=p[i][j] == 1;
			}
		}

		vector<int> cycle, incycle(n);

		for(int i : g){
			if(count1[i] == 1)
				cycle.push_back(i), incycle[i] = 1;
			for(int j : g){
				if(p[i][j] == 1 && count1[i] > count1[j]){
					cycle.push_back(i);
					incycle[i] = 1;
					break;
				}
			}
		}
		UnionFind lines(n);

		for(int i : g){
			if(incycle[i])
				continue;
			for(int j : g){
				if(p[i][j] == 1 && !incycle[j]){
					lines.onion(i,j);
				}
			}
		}

		for(vector<int> & line : lines.group){
			if(line.empty() || !incall[line[0]]){
				continue;
			}
			for(int i : line){
				for(int j : line){
					if(p[i][j]!=1)
						return 0;
				}
			}
			for(int j = 1; j < line.size(); j++){
				resp[line[j-1]][line[j]] = 1;
				resp[line[j]][line[j-1]] = 1;
			}
			int root= -1, rootct =0;
			for(int k : cycle){
				int allright = 1, someright= 0;
				for(int i : line){
					allright&=p[k][i];
					someright|=p[k][i]==1;
				}
				if(allright!=someright)
					return 0;
				if(allright){
					root = k;
					rootct++;
				}
			}
			if(rootct > 1)
				return 0;
			if(rootct == 1){
				resp[line[0]][root] = 1;
				resp[root][line[0]] = 1;
			}
			if(rootct == 0){
				cycle.push_back(line[0]);
				incycle[line[0]] = 1;
			}
		}
		for(int i : cycle){
			for(int j : cycle){
				if(i!=j && p[i][j]!=2)
					return 0;
			}
		}
		for(int i = 1; i < cycle.size(); i++){
			resp[cycle[i]][cycle[i-1]] = 1;
			resp[cycle[i-1]][cycle[i]] = 1;
		}

		resp[cycle[0]][cycle.back()] = 1;
		resp[cycle.back()][cycle[0]] = 1;
		return 1;
	};
	bool ok = 1;
	for(vector<int>& i : connected.group){
		if(i.size())
			ok&=solveforgroup(i);
	}
	if(!ok)
		return 0;
	build(resp);

	return 1;
}

Compilation message

supertrees.cpp: In lambda function:
supertrees.cpp:71:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   71 |    for(int i = 1; i < g.size(); i++){
      |                   ~~^~~~~~~~~~
supertrees.cpp:123:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  123 |    for(int j = 1; j < line.size(); j++){
      |                   ~~^~~~~~~~~~~~~
supertrees.cpp:158:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  158 |   for(int i = 1; i < cycle.size(); i++){
      |                  ~~^~~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 252 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 163 ms 22108 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 252 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 163 ms 22108 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 156 ms 21996 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 83 ms 12108 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 42 ms 5708 KB Output is correct
21 Correct 159 ms 22036 KB Output is correct
22 Correct 157 ms 22028 KB Output is correct
23 Correct 173 ms 22004 KB Output is correct
24 Correct 157 ms 22016 KB Output is correct
25 Correct 68 ms 12236 KB Output is correct
26 Correct 67 ms 12172 KB Output is correct
27 Correct 173 ms 22020 KB Output is correct
28 Correct 158 ms 22036 KB Output is correct

Subtask #3
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Incorrect 1 ms 308 KB b[0][0] is not 0
6 Halted 0 ms 0 KB -

Subtask #4
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Incorrect 0 ms 212 KB b[0][0] is not 0
3 Halted 0 ms 0 KB -

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 252 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 163 ms 22108 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 156 ms 21996 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 83 ms 12108 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 42 ms 5708 KB Output is correct
21 Correct 159 ms 22036 KB Output is correct
22 Correct 157 ms 22028 KB Output is correct
23 Correct 173 ms 22004 KB Output is correct
24 Correct 157 ms 22016 KB Output is correct
25 Correct 68 ms 12236 KB Output is correct
26 Correct 67 ms 12172 KB Output is correct
27 Correct 173 ms 22020 KB Output is correct
28 Correct 158 ms 22036 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Incorrect 1 ms 308 KB b[0][0] is not 0
34 Halted 0 ms 0 KB -

Subtask #6
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 252 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1108 KB Output is correct
7 Correct 163 ms 22108 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 156 ms 21996 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 724 KB Output is correct
17 Correct 83 ms 12108 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 42 ms 5708 KB Output is correct
21 Correct 159 ms 22036 KB Output is correct
22 Correct 157 ms 22028 KB Output is correct
23 Correct 173 ms 22004 KB Output is correct
24 Correct 157 ms 22016 KB Output is correct
25 Correct 68 ms 12236 KB Output is correct
26 Correct 67 ms 12172 KB Output is correct
27 Correct 173 ms 22020 KB Output is correct
28 Correct 158 ms 22036 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Incorrect 1 ms 308 KB b[0][0] is not 0
34 Halted 0 ms 0 KB -