#include <iostream>
#include <vector>
using namespace std;
namespace {
struct Graph {
  int n;
  vector<vector<bool>> connected;
  Graph(int n_): n{n_}, connected(n, vector<bool>(n))
  {
  }
  int min_vertex_cover() const
  {
    int res = n;
    for (int S = 0; S < (1 << n); ++S) {
      for (int u = 0; u < n; ++u) {
        if (S & (1 << u)) continue;
        for (int v = u + 1; v < n; ++v) {
          if (!connected[u][v]) continue;
          if (S & (1 << v)) continue;
          goto bad;
        }
      }
      res = min(res, __builtin_popcount(S));
bad:;
    }
    return res;
  }
};
template <typename F>
void generate(int n, F&& f)
{
  Graph g(n);
  generate(g, 0, 1, f);
}
template <typename F>
void generate(Graph& g, int u, int v, F&& f)
{
  if (v >= g.n) {
    ++u;
    v = u+1;
  }
  if (u >= g.n - 1) {
    f(const_cast<Graph const&>(g));
    return;
  }
  g.connected[u][v] = g.connected[v][u] = true;
  generate(g, u, v+1, f);
  g.connected[u][v] = g.connected[v][u] = false;
  generate(g, u, v+1, f);
}
int solve(int n, int k)
{
  if (k == 0 || k == n-1) return 1;
  if (k == 1) return n*(n+1)/2 % 2;
  static vector<vector<int>> memo;
  if (memo.size() <= n) memo.resize(n + 1);
  if (memo[n].empty()) {
    auto& v = memo[n];
    v.resize(n);
    generate(n, [&](Graph const& g) { ++v[g.min_vertex_cover()]; });
  }
  return memo[n][k] % 2;
}
}
int main()
{
  iostream::sync_with_stdio(false);
  cin.tie(nullptr);
  int q;
  cin >> q;
  while (q > 0) {
    --q;
    int n, k;
    cin >> n >> k;
    cout << solve(n, k) << '\n';
  }
  return 0;
}
        | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 | #include <iostream> #include <vector> using namespace std; namespace { struct Graph { int n; vector<vector<bool>> connected; Graph(int n_): n{n_}, connected(n, vector<bool>(n)) { } int min_vertex_cover() const { int res = n; for (int S = 0; S < (1 << n); ++S) { for (int u = 0; u < n; ++u) { if (S & (1 << u)) continue; for (int v = u + 1; v < n; ++v) { if (!connected[u][v]) continue; if (S & (1 << v)) continue; goto bad; } } res = min(res, __builtin_popcount(S)); bad:; } return res; } }; template <typename F> void generate(int n, F&& f) { Graph g(n); generate(g, 0, 1, f); } template <typename F> void generate(Graph& g, int u, int v, F&& f) { if (v >= g.n) { ++u; v = u+1; } if (u >= g.n - 1) { f(const_cast<Graph const&>(g)); return; } g.connected[u][v] = g.connected[v][u] = true; generate(g, u, v+1, f); g.connected[u][v] = g.connected[v][u] = false; generate(g, u, v+1, f); } int solve(int n, int k) { if (k == 0 || k == n-1) return 1; if (k == 1) return n*(n+1)/2 % 2; static vector<vector<int>> memo; if (memo.size() <= n) memo.resize(n + 1); if (memo[n].empty()) { auto& v = memo[n]; v.resize(n); generate(n, [&](Graph const& g) { ++v[g.min_vertex_cover()]; }); } return memo[n][k] % 2; } } int main() { iostream::sync_with_stdio(false); cin.tie(nullptr); int q; cin >> q; while (q > 0) { --q; int n, k; cin >> n >> k; cout << solve(n, k) << '\n'; } return 0; } | 
 
            
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