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 endl "\n"
#define ll long long int
#define pb push_back
#define mp make_pair
#define fi first
#define se second
const long long MOD = 1e9+7;
const long long INF = 1e18;
int nx[4] = {0, 0, -1, 1};
int ny[4] = {1, -1, 0, 0};
void build(vector<vector<int>> b);
struct dsu
{
vector<int> len;
vector<int> link;
void init(int n)
{
len.assign(n, 1);
link.assign(n, 0);
for(int i = 0; i<n; i++)
{
link[i] = i;
}
}
int search(int x)
{
if(x!=link[x])
link[x] = search(link[x]);
return link[x];
}
bool check(int a, int b)
{
return search(a)==search(b);
}
void join(int a, int b)
{
a = search(a);
b = search(b);
if(a!=b)
{
if(len[a]<len[b])
swap(a, b);
len[a]+=len[b];
link[b] = a;
}
}
};
int construct(vector<vector<int>> p)
{
int n = int(p[0].size());
vector<vector<int>> b(n, vector<int>(n, 0));
dsu d;
d.init(n);
bool flag = false;
for(int i = 0; i<n; i++)
{
for(int j = i+1; j<n; j++)
{
if(p[i][j]==1)
d.join(i, j);
if(p[i][j]==2)
{
d.join(i, j);
flag = true;
}
}
}
vector<vector<int>> groups(n);
for(int i = 0; i<n; i++)
{
int parent = d.search(i);
groups[parent].pb(i);
}
/*for(int i = 0; i<n; i++)
{
cout << i << ": ";
for(auto elt: groups[i])
cout << elt << ' ';
cout << endl;
}*/
if(!flag)
{
for(int i = 0; i<n; i++)
{
if(groups[i].empty())
continue;
int len = int(groups[i].size());
for(int j = 0; j<len-1; j++)
{
int A = groups[i][j];
int B = groups[i][j+1];
b[A][B] = 1;
b[B][A] = 1;
}
}
}
else
{
vector<int> visited(n, 0);
for(int i = 0; i<n; i++)
{
if(groups[i].empty())
continue;
int len = int(groups[i].size());
for(int j = 0; j<len-1; j++)
{
int A = groups[i][j];
int B = groups[i][j+1];
b[A][B] = 1;
b[B][A] = 1;
visited[A]++;
visited[B]++;
}
int A = groups[i][len-1];
int B = groups[i][0];
b[A][B] = 1;
b[B][A] = 1;
visited[A]++;
visited[B]++;
for(int i = 0; i<n; i++)
{
if(visited[i]>2)
return 0;
}
}
}
for(int i = 0; i<n; i++)
{
for(int j = i+1; j<n; j++)
{
if(p[i][j]==0&&d.check(i, j))
return 0;
if(!d.check(i, j)&&p[i][j]!=0)
return 0;
}
}
build(b);
return 1;
}
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