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 TRACE(x) cerr << #x << " = " << x << endl
#define _ << " " <<
typedef long long ll;
typedef pair<int, int> point;
const int mod = 1e9 + 7;
int add(int x, int y) {x += y; if(x >= mod) return x - mod; return x;}
int sub(int x, int y) {x -= y; if(x < 0) return x + mod; return x;}
int mul(int x, int y) {return (ll) x * y % mod;}
const int MAXN = 3e3 + 5;
int subtask, n, dist[MAXN][MAXN], par[MAXN], color[MAXN];
vector <int> E[MAXN];
void load(){
ios_base::sync_with_stdio(false); cin.tie(0);
//freopen("case.txt", "r", stdin);
//freopen("provjera", "w", stdout);
cin >> subtask >> n;
for(int i = 0; i < n; ++i)
for(int j = 0; j < n; ++j)
cin >> dist[i][j];
}
int f(int x){
if(par[x] == x) return x;
return par[x] = f(par[x]);
}
void spoji(int x, int y){
if(f(x) == f(y)) return;
E[x].push_back(y); E[y].push_back(x);
par[f(y)] = f(x);
}
void create_tree(){
for(int i = 0; i < n; ++i)
par[i] = i;
vector <bool> done(n, false);
vector <vector<int>> two(n);
for(int i = 0; i < n; ++i){
vector<int> tmp;
for(int j = i + 1; j < n; ++j){
if(dist[i][j] == 1 && f(i) != f(j)){
spoji(i, j);
}
if(dist[i][j] == 2){
two[i].push_back(j);
two[j].push_back(i);
}
}
}
for(int i = 0; i < n; ++i)
for(int j = i + 1; j < n; ++j){
if(dist[i][j] != 2 || f(i) == f(j)) continue;
spoji(i, j);
// cout << i _ j;
for(int k = 0; k < (int)two[j].size(); ++k)
if(dist[i][ two[j][k] ] == 2){
spoji(i, two[j][k]);
// cout << " " << two[j][k];
}
// cout << " dvakomp\n";
}
}
bool bio[MAXN], sranje[MAXN];
int seen[MAXN];
void dfs(int x, int origin, int p = -1){
for(auto e : E[x]){
if(!bio[e] || e == p) continue;
if(dist[origin][x] == dist[origin][e])
seen[color[e]] ++;
if(dist[origin][x] != dist[origin][e])
sranje[color[e]] = true;
dfs(e, origin, x);
}
}
void color_tree(){
int cnt = 1;
queue<int> Q; Q.push(0);
bio[0] = true;
while(!Q.empty()){
int x = Q.front(); Q.pop();
//TRACE(x);
for(int i = 0; i < n; ++i)
seen[i] = 0;
for(int i = 0; i < cnt; ++i)
sranje[i] = false;
bio[x] = true;
dfs(x, x);
for(int i = 1; i < cnt; ++i){
//TRACE(sranje[i]); TRACE(seen[i]);
if(!sranje[i] && seen[i] > 0){
color[x] = i;
break;
}
}
if(color[x] == 0)
color[x] = cnt ++;
for(auto e : E[x]){
if(bio[e]) continue;
bio[e] = true;
Q.push(e);
}
}
//cout << cnt << "\n";
}
void print_tree(){
for(int i = 0; i < n; ++i)
cout << color[i] << " ";
cout << "\n";
for(int i = 0; i < n; ++i)
for(auto j : E[i])
if(i < j)
cout << i + 1 _ j + 1 << "\n";
}
int main(){
load();
create_tree();
color_tree();
print_tree();
}
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