이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include "icc.h"
#include <bits/stdc++.h>
using namespace std;
mt19937 rnd(chrono::high_resolution_clock::now().time_since_epoch().count());
vector<vector<int>> components;
int Query(vector<int> A, vector<int> B) {
if (A.empty() || B.empty()) return 0;
return query(A.size(), B.size(), A.data(), B.data());
}
int QueryComponent(vector<int> A, vector<int> B) {
vector<int> P, Q;
for (auto i : A) {
for (auto j : components[i]) {
P.emplace_back(j);
}
}
for (auto i : B) {
for (auto j : components[i]) {
Q.emplace_back(j);
}
}
return Query(P, Q);
}
void Answer(int A, int B) {
return setRoad(A, B);
}
int Split(int L, int R, vector<int> &A, vector<int> &B, int depth, bool Check) {
if (depth == 0) {
int mid = (L + R) / 2;
for (int i = L; i <= mid; i++) A.emplace_back(i);
for (int i = mid + 1; i <= R; i++) B.emplace_back(i);
return max(mid - L + 1, R - mid);
}
int mid = (L + R) / 2;
if (Check) {
return max(Split(L, mid, A, B, depth - 1, Check), Split(mid + 1, R, A, B, depth - 1, Check));
} else {
vector<int> tA, tB;
Split(L, mid, tA, tB, depth - 1, true);
if (QueryComponent(tA, tB)) {
return Split(L, mid, A, B, depth - 1, Check);
} else {
return Split(mid + 1, R, A, B, depth - 1, Check);
}
}
}
pair<int, int> BinarySearch(vector<int> A, vector<int> B, bool onComponent) {
pair<int, int> res = {-1, -1};
{
int lo = 0, hi = A.size() - 1;
while (lo < hi) {
int mid = (lo + hi) / 2;
vector<int> halfA;
for (int i = 0; i <= mid; i++) {
halfA.emplace_back(A[i]);
}
int res = (onComponent ? QueryComponent(halfA, B) : Query(halfA, B));
if (res) {
hi = mid;
} else {
lo = mid + 1;
}
}
res.first = A[lo];
}
{
int lo = 0, hi = B.size() - 1;
while (lo < hi) {
int mid = (lo + hi) / 2;
vector<int> halfB;
for (int i = 0; i <= mid; i++) {
halfB.emplace_back(B[i]);
}
int res = (onComponent ? QueryComponent(halfB, A) : Query(halfB, A));
if (res) {
hi = mid;
} else {
lo = mid + 1;
}
}
res.second = B[lo];
}
return res;
}
void MergeComponent(int C1, int C2) {
vector<int> Merged;
for (auto i : components[C1]) Merged.emplace_back(i);
for (auto i : components[C2]) Merged.emplace_back(i);
components[C1].clear();
components[C2].clear();
sort(begin(components), end(components), [&](const vector<int> &a, const vector<int> &b) {
return a.size() > b.size();
});
while (components.back().empty()) components.pop_back();
components.emplace_back(Merged);
}
void run(int N) {
for (int i = 1; i <= N; i++) {
components.emplace_back(vector<int>{i});
}
for (int i = 1; i < N; i++) {
shuffle(begin(components), end(components), rnd);
vector<int> A, B; // find two components that are connected by new edge
for (int depth = 0; ; depth++) {
int sz = Split(0, components.size() - 1, A, B, depth, true);
if (sz == 1) break;
int res = QueryComponent(A, B);
A.clear(), B.clear();
if (res) {
Split(0, components.size() - 1, A, B, depth, false);
break;
}
}
// Binary Search to find edge's endpoint
auto TwoComp = BinarySearch(A, B, true);
auto Edge = BinarySearch(components[TwoComp.first], components[TwoComp.second], false);
Answer(Edge.first, Edge.second);
MergeComponent(TwoComp.first, TwoComp.second);
}
}
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