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>
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define ar array
using namespace std;
typedef long long ll;
typedef pair<int, int> ii;
const int maxn = 3005, inf = 1e9;
int a[maxn][maxn];
vector<int> adj[maxn];
int N, col[maxn], lab[maxn];
bool vis[maxn];
int depth[maxn], cnt[maxn];
vector<ar<int, 2>> node;
int finds(int u)
{
if(lab[u] < 0) return u;
return lab[u] = finds(lab[u]);
}
void add(int x, int y)
{
if(finds(x) == finds(y)) return;
adj[x].eb(y); adj[y].eb(x);
x = finds(x); y = finds(y);
if(lab[y] < lab[x]) swap(x, y);
lab[x] += lab[y]; lab[y] = x;
}
void dfs(int u, int p = -1)
{
for(int v : adj[u]) if(v != p){
depth[v] = depth[u] + 1;
dfs(v, u);
}
}
void trav(int u, int num, int r)
{
vis[u] = true;
if(u != r){
if(col[u] == 0) return;
cnt[col[u]]++;
if(cnt[col[u]] == 1){
++num;
}
if(a[r][u] == num && col[r] == 0){
col[r] = col[u];
}
}
for(int v : adj[u]) if(!vis[v]){
trav(v, num, r);
}
cnt[col[u]]--;
}
signed main(void)
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifdef LOCAL
freopen("A.INP", "r", stdin);
freopen("A.OUT", "w", stdout);
#endif // LOCAL
cin >> N >> N;
for(int i = 1; i <= N; ++i){
for(int j = 1; j <= N; ++j){
cin >> a[i][j];
}
}
fill(lab + 1, lab + 1 + N, -1);
for(int i = 1; i <= N; ++i){
for(int j = 1; j <= N; ++j){
if(a[i][j] == 1)
add(i, j);
}
}
for(int i = 1; i <= N; ++i){
for(int j = 1; j <= N; ++j){
if(a[i][j] == 2)
add(i, j);
}
}
dfs(1);
for(int i = 1; i <= N; ++i)
node.pb({depth[i], i});
sort(node.begin(), node.end());
int co = 0;
for(auto & all : node){
memset(vis, 0, sizeof vis);
memset(cnt, 0, sizeof cnt);
trav(all[1], 0, all[1]);
if(col[all[1]] == 0)
col[all[1]] = ++co;
}
for(int i = 1; i <= N; ++i)
cout << col[i] << " \n"[i == N];
for(int i = 1; i <= N; ++i){
for(int j : adj[i]){
if(i < j)
cout << i << ' ' << j << '\n';
}
}
}
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