This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*input
5
00000000000
0000000000000
0000000.0000000
000..0000.0000000
00.0.00000.00000000
00.0000000000000000
00000000000000000
0000000.0000000
0000000000000
00000000000
*/
#pragma GCC optimize ("O3")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
struct grupe
{
int x, y, z;
bool reikia = false;
};
vector<grupe>xx;
vector<char>col;
bitset<150>x;
bitset<150>prad;
int timer = 0;
vector<int>jj[150];
bitset<390>xxxxx;
unordered_map<bitset<150>, bitset<390>>M;
unordered_set<bitset<150>>buvau[150];
int n;
void ieskom(int i)
{
if (buvau[i].count(x) || i > timer / 2)
return;
buvau[i].insert(x);
M[x] = xxxxx;
if (x[i] == false)
return ieskom(i + 1);
for (int j : jj[i])
{
if (x[xx[j].x] && x[xx[j].y] && x[xx[j].z])
{
x[xx[j].x] = false;
x[xx[j].y] = false;
x[xx[j].z] = false;
xxxxx[j] = true;
ieskom(i + 1);
xxxxx[j] = false;
x[xx[j].x] = true;
x[xx[j].y] = true;
x[xx[j].z] = true;
}
}
}
bool ieskom1(int i)
{
if (buvau[i].count(x))
return false;
buvau[i].insert(x);
M[x] = xxxxx;
bitset<150>y = (~x)&prad;
if (M.count(y))
{
auto xxx = M[y];
for (int i = 0; i < (int)xx.size(); i++)
if (xxx[i])
xx[i].reikia = true;
return true;
}
if (i < timer / 2)
return false;
if (x[i] == false)
return ieskom1(i - 1);
for (int j : jj[i])
{
if (x[xx[j].x] && x[xx[j].y] && x[xx[j].z])
{
x[xx[j].x] = false;
x[xx[j].y] = false;
x[xx[j].z] = false;
xx[j].reikia = true;
if (ieskom1(i - 1))
return true;
xx[j].reikia = false;
x[xx[j].x] = true;
x[xx[j].y] = true;
x[xx[j].z] = true;
}
}
return false;
}
int main()
{
ios_base::sync_with_stdio(false);
cin >> n;
string s[2 * n];
for (int i = 0; i < 2 * n; i++)
cin >> s[i];
int kiek = 0;
vector<int>id[2 * n];
for (int i = 0; i < 2 * n; i++)
for (char c : s[i])
{
id[i].push_back(timer++);
col.push_back(c);
if (c == '0')
kiek++;
}
vector<int>adj[timer];
for (int i = 0; i < 2 * n; i++)
{
for (int t = 0; t + 1 < (int)id[i].size(); t++)
{
int x = id[i][t];
int y = id[i][t + 1];
adj[x].push_back(y);
adj[y].push_back(x);
}
}
for (int i = 0; i <= n - 2; i++)
{
for (int t = 0; t < (int)id[i].size(); t += 2)
{
int x = id[i][t];
int y = id[i + 1][t + 1];
adj[x].push_back(y);
adj[y].push_back(x);
}
}
for (int t = 0; t < (int)id[n - 1].size(); t += 2)
{
int x = id[n - 1][t];
int y = id[n][t];
adj[x].push_back(y);
adj[y].push_back(x);
}
for (int i = n + 1; i < 2 * n; i++)
{
for (int t = 0; t < (int)id[i].size(); t += 2)
{
int x = id[i][t];
int y = id[i - 1][t + 1];
adj[x].push_back(y);
adj[y].push_back(x);
}
}
for (int i = 0; i < timer; i++)
{
for (int j : adj[i])
{
for (int k : adj[i])
{
if (j < k)
{
grupe a;
a.x = i;
a.y = j;
a.z = k;
xx.push_back(a);
}
}
}
}
for (int i = 0; i < (int)xx.size(); i++)
{
jj[xx[i].x].push_back(i);
jj[xx[i].y].push_back(i);
jj[xx[i].z].push_back(i);
}
for (int i = 0; i < 2 * n; i++)
{
for (int t = 0; t < (int)id[i].size(); t++)
{
if (s[i][t] == '0')
x[id[i][t]] = true;
}
}
prad = x;
ieskom(0);
if (ieskom1(timer - 1))
{
for (grupe a : xx)
{
if (a.reikia == false)
continue;
set<int>aplink;
for (int i : {a.x, a.y, a.z})
for (int j : adj[i])
aplink.insert(j);
for (int i : {a.x, a.y, a.z})
aplink.erase(i);
set<char>cols;
for (int i : aplink)
cols.insert(col[i]);
for (char x = '1'; x <= '6'; x++)
if (cols.count(x) == 0)
{
col[a.x] = x;
col[a.y] = x;
col[a.z] = x;
}
}
for (int i = 0; i < 2 * n; i++)
{
for (int t = 0; t < (int)id[i].size(); t++)
{
cout << col[id[i][t]];
}
cout << '\n';
}
}
else
cout << "nemoguce\n";
}
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