This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//
// ~oisín~ C++ Template
//
#include <bits/stdc++.h>
#include "supertrees.h"
#define MX_N 1001
#define mp make_pair
#define mod7 1000000007
#define modpi 314159
#define PI 3.141592653589793238
#define pb push_back
#define FastIO ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define All(a) a.begin(),a.end()
#define fi first
#define se second
#define ll long long int
#define ull unsigned long long int
int kx[8] = {+2, +2, -2, -2, +1, +1, -1, -1};
int ky[8] = {+1, -1, +1, -1, +2, -2, +2, -2};
int d9x[9] = {+1, +1, +1, +0, +0, +0, -1, -1, -1};
int d9y[9] = {+1, +0, -1, +1, +0, -1, +1, +0, -1};
int dx4[4] = {+0, +0, +1, -1};
int dy4[4] = {+1, -1, +0, +0};
ll gcd(ull a, ull b){
return (a==0)?b:gcd(b%a,a);
}
ll lcm(ull a, ull b){
return a*(b/gcd(a,b));
}
const long long INF = 1e18;
using namespace std;
int n;
struct link{
link* par;
int id;
int m_id;
};
link* find_set(link* at){
if(at == at->par){
return at;
}else{
return at->par = find_set(at->par);
}
}
void union_set(link* A, link* B){
link* a = find_set(A);
link* b = find_set(B);
if(a == b){
return;
}
a->par = b;
return;
}
vector<int> adj[MX_N];
vector<int> familes[MX_N];
link* G[MX_N];
int construct(vector<vector<int> > p){
n = p.size();
auto res = p;
for(auto& v : res){
for(int& x : v){
x = 0;
}
}
for(int i=0;i<n;++i){
G[i] = new link;
G[i]->id = i;
G[i]->par = G[i];
}
for(int i=0;i<n;++i){
for(int j=i+1;j<n;++j){
if(p[i][j] == 1 || p[i][j] == 2){
adj[i].pb(j);
adj[j].pb(i);
union_set(G[i], G[j]);
}
}
}
for(int i=0;i<n;++i){
for(int j=i+1;j<n;++j){
if(p[i][j] == 0){
if(find_set(G[i]) == find_set(G[j])){
return 0;
}
}
}
}
for(int i=0;i<n;++i){
G[i]->m_id = familes[find_set(G[i])->id].size();
familes[find_set(G[i])->id].pb(i);
}
for(int i=0;i<n;++i){
G[i]->par = G[i];
}
for(int f=0;f<n;++f){
if(familes[f].size() <= 1){
continue;
}
vector<int>& group = familes[f];
int m = group.size();
for(int i=0;i<m;++i){
for(int to : adj[group[i]]){
if(p[group[i]][to] == 1){
union_set(G[group[i]], G[to]);
}
}
}
vector<int> lots[m];
for(int i=0;i<m;++i){
lots[find_set(G[group[i]])->m_id].pb(group[i]);
}
vector<int> circle;
vector<vector<int> > chains;
for(int i=0;i<m;++i){
if(lots[i].size() == 0){
continue;
}else if(lots[i].size() == 1){
circle.pb(lots[i][0]);
}else{
chains.pb(lots[i]);
}
}
for(auto& chain : chains){
for(int i=1;i<(int)chain.size();++i){
res[chain[i]][chain[i-1]] = 1;
res[chain[i-1]][chain[i]] = 1;
}
}
for(int i=1;i<(int)chains.size();++i){
res[chains[i][0]][chains[i-1][0]] = 1;
res[chains[i-1][0]][chains[i][0]] = 1;
}
for(int i=1;i<(int)circle.size();++i){
res[circle[i]][circle[i-1]] = 1;
res[circle[i-1]][circle[i]] = 1;
}
if(circle.size() == 0){
continue;
}else if(chains.size() == 0){
if(circle.size() == 2){
return 0;
}
res[circle[0]][circle[circle.size()-1]] = 1;
res[circle[circle.size()-1]][circle[0]] = 1;
}else{
res[circle[0]][chains[0][0]] = 1;
res[chains[0][0]][circle[0]] = 1;
res[circle[circle.size()-1]][chains[chains.size()-1][0]] = 1;
res[chains[chains.size()-1][0]][circle[circle.size()-1]] = 1;
}
}
build(res);
return 1;
}
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