#include "island.h"
#include "bits/stdc++.h"
using namespace std;
template<typename T>
using vec = vector<T>;
struct DSU {
public:
DSU() : _n(0) {}
explicit DSU(int n) : _n(n), parent_or_size(n, -1) {}
int unite(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
int x = leader(a), y = leader(b);
if (x == y) return x;
if (-parent_or_size[x] < -parent_or_size[y]) std::swap(x, y);
parent_or_size[x] += parent_or_size[y];
parent_or_size[y] = x;
return x;
}
bool one(int a, int b) {
assert(0 <= a && a < _n);
assert(0 <= b && b < _n);
return leader(a) == leader(b);
}
int leader(int a) {
assert(0 <= a && a < _n);
if (parent_or_size[a] < 0) return a;
return parent_or_size[a] = leader(parent_or_size[a]);
}
int size(int a) {
assert(0 <= a && a < _n);
return -parent_or_size[leader(a)];
}
std::vector<std::vector<int>> groups() {
std::vector<int> leader_buf(_n), group_size(_n);
for (int i = 0; i < _n; i++) {
leader_buf[i] = leader(i);
group_size[leader_buf[i]]++;
}
std::vector<std::vector<int>> result(_n);
for (int i = 0; i < _n; i++) {
result[i].reserve(group_size[i]);
}
for (int i = 0; i < _n; i++) {
result[leader_buf[i]].push_back(i);
}
result.erase(
std::remove_if(result.begin(), result.end(),
[&](const std::vector<int> &v) { return v.empty(); }),
result.end());
return result;
}
private:
int _n;
// root node: -1 * component size
// otherwise: parent
std::vector<int> parent_or_size;
};
void solve(int N, int L) {
map<pair<int, int>, int> mp;
auto ask = [&](int a, int b) {
if (mp.contains({a, b})) return mp[{a, b}];
return mp[{a, b}] = query(a, b);
};
vec<vec<int>> g(N + 1);
DSU dsu(N + 1);
for (int i = 1; i <= N; i++) {
int k = 1;
for (auto u: g[i]) {
if (u < i) k++;
}
while (k < N) {
int v = ask(i, k);
if (dsu.one(i, v)) break;
if (v < i) break;
if (k > 1) {
int cnt = 1;
for (auto u: g[v]) {
if (u < i) cnt++;
}
if (ask(v, cnt) != i) break;
}
g[v].push_back(i);
dsu.unite(i, v);
g[i].push_back(v);
answer(i, v);
k++;
}
}
}
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