Submission #373239

# Submission time Handle Problem Language Result Execution time Memory
373239 2021-03-03T22:09:58 Z Matteo_Verz Connecting Supertrees (IOI20_supertrees) C++17
11 / 100
1000 ms 22252 KB
#include "supertrees.h"
#include <bits/stdc++.h>

using namespace std;

vector <vector <int>> answer;
vector <int> viz;
vector <int> countroot;
vector <int> roots;
bitset <1001> isroot;
bool ok = true;

void Solve_Component(int node, vector <vector <int>> p, int comp) {
  int n = p.size();
  vector <int> realnodes;

  for(int i = 0; i < n; i++)
    if(p[node][i] > 0 || i == node) {
      viz[i] = comp; // mark each node as part of the component
      realnodes.push_back(i); // we keep a vector with only the nodes in the component
    }

  for(int i : realnodes) isroot.set(i, false);

  for(int i : realnodes)
    if(viz[i] == comp) isroot[i] = true; // we consider each node as the "root"

  n = realnodes.size();
  roots.clear();
  for(int i = 0; i < realnodes.size(); i++) { // we go through each node
    if(isroot[realnodes[i]] == true) {
      roots.push_back(realnodes[i]);
      countroot[realnodes[i]]++;
      if(countroot[realnodes[i]] > 1) { // if the node is a root of more than 1 tree
        ok = false;
        return;
      }

      for(int j = i + 1; j < realnodes.size(); j++) {
        if(p[realnodes[i]][realnodes[j]] == 1) { // if there is only 1 path from i to j => i is parent of j
          answer[realnodes[i]][realnodes[j]] = answer[realnodes[j]][realnodes[i]] = 1;
          isroot[realnodes[j]] = false;
        }
      }
    }
  }

  if(roots.size() == 1) return; // it's fine, we only have a tree
  if(roots.size() == 2) { // we have a cycle of length 2 => impossible
    ok = false;
    return;
  }

  for(int i = 0; i < roots.size() - 1; i++)
    answer[roots[i]][roots[i + 1]] = answer[roots[i + 1]][roots[i]] = 1; // we connect the roots
  answer[roots[0]][roots.back()] = answer[roots.back()][roots[0]] = 1;
}

int construct(vector<vector<int>> p) {
  int n = p.size();

  answer.resize(n);
  for(int i = 0; i < n; i++) answer[i].resize(n);

  // last subtask, p[i][j] == 3
  for(int i = 0; i < n; i++) {
    for(int j = 0; j < n; j++)
      if(p[i][j] > 2) return 0;
  }

  viz.resize(n);
  countroot.resize(n);
  int cc(0);
  for(int i = 0; i < n; i++)
     if(viz[i] == 0)
       Solve_Component(i, p, ++cc); // solve for each component

  if(ok == false)
    return 0;

  build(answer);
  return 1;
}

Compilation message

supertrees.cpp: In function 'void Solve_Component(int, std::vector<std::vector<int> >, int)':
supertrees.cpp:30:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   30 |   for(int i = 0; i < realnodes.size(); i++) { // we go through each node
      |                  ~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:39:28: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   39 |       for(int j = i + 1; j < realnodes.size(); j++) {
      |                          ~~^~~~~~~~~~~~~~~~~~
supertrees.cpp:54:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   54 |   for(int i = 0; i < roots.size() - 1; i++)
      |                  ~~^~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 12 ms 1260 KB Output is correct
7 Correct 240 ms 22252 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 12 ms 1260 KB Output is correct
7 Correct 240 ms 22252 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 18 ms 1260 KB Output is correct
13 Execution timed out 1084 ms 16488 KB Time limit exceeded
14 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 14 ms 1260 KB Output is correct
9 Execution timed out 1083 ms 16464 KB Time limit exceeded
10 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 68 ms 5848 KB Output is correct
5 Correct 248 ms 22124 KB Output is correct
6 Execution timed out 1097 ms 21560 KB Time limit exceeded
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 12 ms 1260 KB Output is correct
7 Correct 240 ms 22252 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 18 ms 1260 KB Output is correct
13 Execution timed out 1084 ms 16488 KB Time limit exceeded
14 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 512 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 12 ms 1260 KB Output is correct
7 Correct 240 ms 22252 KB Output is correct
8 Correct 0 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 18 ms 1260 KB Output is correct
13 Execution timed out 1084 ms 16488 KB Time limit exceeded
14 Halted 0 ms 0 KB -