#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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