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 "simurgh.h"
#include <bits/stdc++.h>
using namespace std;
class UnionFind {
public:
vector<int> par;
void init(int sz) {
par.resize(sz, -1);
}
int root(int pos) {
if (par[pos] == -1) return pos;
par[pos] = root(par[pos]);
return par[pos];
}
void unite(int u, int v) {
u = root(u);
v = root(v); if (u == v) return;
par[u] = v;
}
bool same(int u, int v) {
if (root(u) == root(v)) return true;
return false;
}
};
// Input, Output
int N, M;
int A[1 << 18], B[1 << 18];
int Answer[1 << 18];
// Spanning Tree
vector<int> X[1 << 18];
vector<int> R;
int BASE = 0;
int col[1 << 18];
bool istree[1 << 18];
void dfs(int pos, int par, int x) {
col[pos] = x;
for (int i : X[pos]) {
if (i == par) continue;
dfs(i, pos, x);
}
}
void solve(int pos) {
dfs(A[pos], B[pos], 1);
dfs(B[pos], A[pos], 2);
vector<int> vec1;
vector<int> vec2;
int idx = -1;
for (int i = 0; i < M; i++) {
if (istree[i] == true) continue;
if (Answer[i] != -1) { idx = i; continue; }
vec1.push_back(i);
vector<int> r;
for (int j : R) { if (j != pos) r.push_back(j); }
r.push_back(i);
vec2.push_back(count_common_roads(r));
}
if (idx != -1) {
vector<int> r;
for (int j : R) { if (j != pos) r.push_back(j); }
r.push_back(idx);
int val = count_common_roads(r);
Answer[pos] = Answer[idx] + (BASE - val);
}
else {
Answer[pos] = 1;
for (int j = 0; j < (int)vec2.size(); j++) {
if (BASE < vec2[j]) Answer[pos] = 0;
if (BASE > vec2[j]) Answer[pos] = 1;
}
}
for (int i = 0; i < (int)vec1.size(); i++) {
Answer[vec1[i]] = Answer[pos] + (vec2[i] - BASE);
}
}
vector<int> find_roads(int n, vector<int> u, vector<int> v) {
// Step #1. Input
N = n;
M = u.size();
for (int i = 0; i < M; i++) A[i] = u[i];
for (int i = 0; i < M; i++) B[i] = v[i];
// Step #2. Get Spanning Tree
UnionFind UF; UF.init(N + 2);
for (int i = 0; i < M; i++) {
if (UF.same(A[i], B[i]) == true) continue;
UF.unite(A[i], B[i]);
X[A[i]].push_back(B[i]);
X[B[i]].push_back(A[i]);
istree[i] = true;
}
for (int i = 0; i < M; i++) {
if (istree[i] == true) R.push_back(i);
}
BASE = count_common_roads(R);
// Step #3. Get Color
for (int i = 0; i < M; i++) Answer[i] = -1;
for (int i = 0; i < M; i++) {
if (istree[i] == false) continue;
solve(i);
}
// Step #4. Get Answer
vector<int> FinalAns;
for (int i = 0; i < M; i++) {
if (Answer[i] == 1) FinalAns.push_back(i);
}
return FinalAns;
}
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