This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _USE_MATH_DEFINES
#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define replr(i, a, b) for (int i = int(a); i <= int(b); ++i)
#define reprl(i, a, b) for (int i = int(a); i >= int(b); --i)
#define rep(i, n) for (int i = 0; i < int(n); ++i)
#define mkp(a, b) make_pair(a, b)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<PII> VPI;
typedef vector<VI> VVI;
typedef vector<VVI> VVVI;
typedef vector<VPI> VVPI;
typedef pair<ll, ll> PLL;
typedef vector<ll> VL;
typedef vector<PLL> VPL;
typedef vector<VL> VVL;
typedef vector<VVL> VVVL;
typedef vector<VPL> VVPL;
template<class T> T setmax(T& a, T b) {if (a < b) return a = b; return a;}
template<class T> T setmin(T& a, T b) {if (a < b) return a; return a = b;}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
template<class T>
using indset = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#include "mars.h"
void dfs(int i, int j, VVI& a, VVI& vis) {
int n = a.size();
vis[i][j] = true;
if (i && !vis[i-1][j] && a[i-1][j]) dfs(i-1, j, a, vis);
if (i+1<n && !vis[i+1][j] && a[i+1][j]) dfs(i+1, j, a, vis);
if (j && !vis[i][j-1] && a[i][j-1]) dfs(i, j-1, a, vis);
if (j+1<n && !vis[i][j+1] && a[i][j+1]) dfs(i, j+1, a, vis);
}
int compcnt(VVI& a) {
int n = a.size();
VVI vis(n, VI(n));
int ret = 0;
rep(i, n) rep(j, n) if (!vis[i][j] && a[i][j]) {
dfs(i, j, a, vis);
ret++;
}
return ret;
}
string tobin(int x) {
string ret;
while (x) {
ret.pb('0' + (x&1));
x >>= 1;
}
return ret;
}
string lracnel(string s) {
while (s.size() < 100) s.pb('0');
return s;
}
string answer(VVI& a) {
return lracnel(tobin(compcnt(a)));
}
void fillsq(VVI& table, string s, int i, int j, int n) {
int cur = 0;
replr(i1, i, i+n-1) replr(j1, j, j+n-1) {
table[i1][j1] = s[cur++]-'0';
}
}
string process(vector<vector<string>> a, int i, int j, int k, int n) {
if (n == 1) {
VVI table(3, VI(3));
rep(i, 3) rep(j, 3) table[i][j] = a[i][j][0]-'0';
return answer(table);
}
if (n == 2) {
if (k == 0) {
string ret;
rep(i, 3) rep(j, 3) ret.pb(a[i][j][0]);
return lracnel(ret);
} else {
VVI table(5, VI(5));
rep(i, 3) rep(j, 3) {
fillsq(table, a[i][j], i, j, 3);
}
return answer(table);
}
}
if (n == 3) {
if (k == 0) {
string ret;
rep(i, 3) rep(j, 3) ret.pb(a[i][j][0]);
return lracnel(ret);
} else if (k == 1) {
VVI table(5, VI(5));
rep(i, 3) rep(j, 3) {
fillsq(table, a[i][j], i, j, 3);
}
string ret;
rep(i, 5) rep(j, 5) ret.pb(table[i][j] + '0');
return lracnel(ret);
} else {
VVI table(7, VI(7));
rep(i, 3) rep(j, 3) {
fillsq(table, a[i][j], i, j, 5);
}
return answer(table);
}
}
if (n == 4) {
if (k == 0) {
string ret;
rep(i, 3) rep(j, 3) ret.pb(a[i][j][0]);
return lracnel(ret);
} else if (k == 1) {
VVI table(5, VI(5));
rep(i, 3) rep(j, 3) {
fillsq(table, a[i][j], i, j, 3);
}
string ret;
rep(i, 5) rep(j, 5) ret.pb(table[i][j] + '0');
return lracnel(ret);
} else if (k == 2) {
VVI table(7, VI(7));
rep(i, 3) rep(j, 3) {
fillsq(table, a[i][j], i, j, 5);
}
string ret;
rep(i, 7) rep(j, 7) ret.pb(table[i][j] + '0');
return lracnel(ret);
} else {
VVI table(9, VI(9));
rep(i, 3) rep(j, 3) {
fillsq(table, a[i][j], i, j, 7);
}
return answer(table);
}
}
return lracnel("");
}
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