This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int N = 50, MOD = 1e9+7;
const ll INF = 1e18+10;
void solve() {
int n; cin >> n;
vector<int> row_ord(n), col_ord(n);
iota(row_ord.begin(), row_ord.end(), 0);
iota(col_ord.begin(), col_ord.end(), 0);
random_shuffle(row_ord.begin(), row_ord.end());
random_shuffle(col_ord.begin(), col_ord.end());
auto pr = [&](vector<pair<int, int>> v) {
vector<string> g(n, string(n, '0'));
for (auto [i, j] : v) g[i][j] = '1';
for (auto& r : g) cout << r << '\n';
cout.flush();
};
int si = row_ord[0], sj = col_ord[0];
bool h_top = true;
auto get_type = [&](int i, int j, bool b) { // b is true if I know the type of si sj already
if (b) {
cout << "?\n";
pr({make_pair(i, j), make_pair(si, sj)});
int cnt; cin >> cnt;
return bool(h_top ^ (cnt % 2));
}
// query all of first row
// if n^2: return
// otherwise: there must be at least one H
// count V (n + v * (n - 1))
auto cnt_v = [&](int ci, int cj) {
vector<pair<int, int>> v;
for (int k = 0; k < n; k++) if (k != cj)
v.emplace_back(ci, k);
cout << "?\n";
pr(v);
int cnt; cin >> cnt;
if (cnt == n * sz(v)) // all V
return sz(v);
int cur_v = (cnt - n) / (n - 1);
assert(n + cur_v * (n - 1) == cnt);
return cur_v;
};
return !bool(cnt_v(si, -1) - cnt_v(si, sj));
};
h_top = get_type(si, sj, false);
int p1 = 0, p2 = 0;
vector<pair<int, int>> hs, vs;
if (h_top) p1++, hs.emplace_back(si, sj);
else p2++, vs.emplace_back(si, sj);
while (sz(hs) < n && sz(vs) < n) {
if (get_type(row_ord[p1], col_ord[p2], true)) {
hs.emplace_back(row_ord[p1++], col_ord[p2]);
} else {
vs.emplace_back(row_ord[p1], col_ord[p2++]);
}
}
if (sz(hs) < sz(vs)) swap(vs, hs); // print hs
cout << "!\n";
pr(hs);
}
int main() {
ios::sync_with_stdio(false); cin.tie(0);
int T = 1;
// cin >> T;
while (T--) solve();
}
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