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#include "testlib.h"
#include <bits/stdc++.h>
constexpr int MAXN = 600;
constexpr int MAXQ = 5000;
using namespace std;
struct DSU {
std::vector<int> f, siz;
DSU() {}
DSU(int n) {
init(n);
}
void init(int n) {
f.resize(n);
std::iota(f.begin(), f.end(), 0);
siz.assign(n, 1);
}
int find(int x) {
while (x != f[x]) {
x = f[x] = f[f[x]];
}
return x;
}
bool same(int x, int y) {
return find(x) == find(y);
}
bool merge(int x, int y) {
x = find(x), y = find(y);
if (x == y) {
return false;
}
f[y] = x;
siz[x] += siz[y];
return true;
}
int size(int x) {
return siz[find(x)];
}
};
int main(int argc, char ** argv){
registerInteraction(argc, argv);
int n = inf.readInt();
int m = inf.readInt();
vector<bitset<MAXN>> E(n);
DSU dsu(2 * n);
for (int i = 0; i < m; i++) {
int u = inf.readInt();
int v = inf.readInt();
--u; --v;
E[u].set(v);
E[v].set(u);
dsu.merge(n + u, v);
dsu.merge(u, n + v);
}
bool flag = true;
for (int i = 0; i < n; i++) {
flag &= !dsu.same(i, n + i);
}
cout << n << endl;
cout.flush();
for (int q = 1; q <= MAXQ + 1; ++q) {
string S = ouf.readToken();
if (S == "?") {
if (q > MAXQ) { cout << "-1\n"; quitf(_wa, "too many queries"); }
bitset<MAXN> F;
int k = ouf.readInt();
if (k < 1 || k > n) { cout << "-1\n"; quitf(_wa, "query %d: k=%d out of range", q, k); }
for (int j = 0; j < k; j++) {
int b = ouf.readInt();
if (b < 1 || b > n) { cout << "-1\n"; quitf(_wa, "query %d: v[%d]=%d out of range", q, j+1, k); }
if (F[b-1]) { cout << "-1\n"; quitf(_wa, "query %d: vertex %d appears twice", q, b); }
F.set(b-1);
}
int ans = 0;
for (int i = 0; i < n; i++) if (F[i]) ans += (E[i]&F).count();
cout << ans/2 << endl;
cout.flush();
} else if (S == "N" || S == "Y") {
if ((S == "Y") != flag) {
quitp(0., "Wrong guess 0. Ratio: 0.0000");
}
int r = ouf.readInt();
if (r < 0 || r > n) { cout << "-1\n"; quitf(_wa, "answer %d out of range", r); }
std::vector<int> v(r);
for (int i = 0; i < r; i++) {
v[i] = ouf.readInt();
if (v[i] < 1 || v[i] > n) { cout << "-1\n"; quitf(_wa, "a[%d]=%d out of range", i+1, v[i]); }
v[i]--;
}
if (S == "Y") {
std::array<std::vector<int>, 2> a;
for (int i = 0; i < n; i++) {
a[dsu.same(i, 0)].push_back(i);
}
std::sort(v.begin(), v.end());
if (std::find(a.begin(), a.end(), v) != a.end()) {
double ratio = 1. * (MAXQ - q) / MAXQ;
quitp(ratio, "Correct guess Y. Ratio: %.4f", ratio);
} else {
quitp(0., "Wrong guess 1. Ratio: 0.0000");
}
} else {
if (r % 2 == 0) {
quitp(0., "Wrong guess 2. Ratio: 0.0000");
}
for (int i = 0; i < r; i++) {
if (!E[v[i]][v[(i + 1) % r]]) {
quitp(0., "Wrong guess 3. Ratio: 0.0000");
}
}
double ratio = 1. * (MAXQ - q) / MAXQ;
quitp(ratio, "Correct guess N. Ratio: %.4f", ratio);
}
} else {
cout << "-1\n"; quitf(_wa, "invalid query");
}
}
}