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 m_p make_pair
#define all(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define fi first
#define se second
typedef long long ll;
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
mt19937 rnf(2106);
const int N = 102;
int n;
char b[N][N];
char a[N][N];
bool c[N][N];
map<vector<pair<int, int> >, int> mp;
int qry(vector<pair<int, int> >& v)
{
sort(all(v));
if (mp.find(v) != mp.end())
return mp[v];
cout << '?' << endl;
for (int i = 1; i <= n; ++i)
{
for (int j = 1; j <= n; ++j)
{
if (binary_search(all(v), m_p(i, j)))
cout << '1';
else
cout << '0';
}
cout << endl;
}
int ans = 0;
/*memset(c, false, sizeof c);
for (int i = 1; i <= n; ++i)
{
for (int j = 1; j <= n; ++j)
{
if (binary_search(all(v), m_p(i, j)))
{
if (b[i][j] == 'H')
{
for (int j = 1; j <= n; ++j)
c[i][j] = true;
}
else
{
for (int i = 1; i <= n; ++i)
c[i][j] = true;
}
}
}
}
for (int i = 1; i <= n; ++i)
for (int j = 1; j <= n; ++j)
ans += c[i][j];*/
//cin >> ans;
return mp[v] = ans;
}
void solv()
{
cin >> n;
//for (int i = 1; i <= n; ++i)
// cin >> (b[i] + 1);
for (int i = 1; i <= n; ++i)
for (int j = 1; j <= n; ++j)
a[i][j] = '0';
for (int i = 1; i <= n; ++i)
{
int l = 2, r = n;
int u = n + 1;
while (l <= r)
{
int m = (l + r) / 2;
vector<pair<int, int> > v;
for (int j = 1; j <= m; ++j)
v.push_back(m_p(i, j));
if (qry(v) != m * n)
{
u = m;
r = m - 1;
}
else
l = m + 1;
}
if (u == n + 1)
{
cout << '!' << endl;
for (int ii = 1; ii <= n; ++ii)
{
if (ii != i)
{
for (int j = 1; j <= n; ++j)
cout << '0';
}
else
{
for (int j = 1; j <= n; ++j)
cout << '1';
}
cout << endl;
}
return;
}
else
{
if (u >= 3)
{
a[i][u] = '1';
}
else
{
vector<pair<int, int> > v;
for (int j = 1; j <= 2; ++j)
v.push_back(m_p(i, j));
if (qry(v) == n)
{
a[i][1] = '1';
}
else
{
vector<pair<int, int> > v;
for (int j = 1; j <= 3; ++j)
v.push_back(m_p(i, j));
if (qry(v) == 2 * n - 1)
{
a[i][3] = '1';
}
else
{
vector<pair<int, int> > v;
v.push_back(m_p(i, 1));
v.push_back(m_p(i, 3));
if (qry(v) == n * 2)
a[i][2] = '1';
else
a[i][1] = '1';
}
}
}
}
}
cout << '!' << endl;
for (int i = 1; i <= n; ++i)
{
for (int j = 1; j <= n; ++j)
{
cout << a[i][j];
}
cout << endl;
}
}
int main()
{
#ifdef SOMETHING
freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
#endif // SOMETHING
ios_base::sync_with_stdio(false), cin.tie(0);
int tt = 1;
//cin >> tt;
while (tt--)
{
solv();
}
return 0;
}
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