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>
#ifdef LOCAL
#include "template/debug.hpp"
#else
#define dbg(...) ;
#define timer(...) ;
#endif
#define nl '\n'
struct DSU {
std::vector<int> e;
int comp;
DSU(int n) : e(n, -1), comp(n) {}
int find(int u) {
return e[u] < 0 ? u : e[u] = find(e[u]);
}
bool merge(int u, int v) {
u = find(u), v = find(v);
if (u == v) return false;
comp--;
if (e[u] > e[v]) std::swap(u, v);
e[u] += e[v];
e[v] = u;
return true;
}
bool same(int u, int v) {
return find(u) == find(v);
}
int size(int u) {
return -e[find(u)];
}
};
signed main() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
int N;
std::cin >> N;
if (N <= 2) {
std::cout << -1 << nl;
return 0;
}
std::vector<std::pair<int, int>> pos(N);
int min_x = 1e9, min_y = 1e9;
int max_x = -1e9, max_y = -1e9;
for (int i = 0; i < N; i++) {
std::cin >> pos[i].first >> pos[i].second;
min_x = std::min(min_x, pos[i].first);
min_y = std::min(min_y, pos[i].second);
max_x = std::max(max_x, pos[i].first);
max_y = std::max(max_y, pos[i].second);
}
auto pos2 = pos;
for (int i = 0; i < N; i++) {
pos[i].first -= min_x;
pos[i].second -= min_y;
pos2[i].first -= max_x;
pos2[i].second -= max_y;
}
std::sort(pos.begin(), pos.end());
int same_x = 1;
int same_y = 1;
for (int i = 1; i < N; i++) {
same_x &= pos[i].first == pos[0].first;
same_y &= pos[i].second == pos[0].second;
}
if (same_x || same_y) {
std::cout << -1 << nl;
return 0;
}
DSU dsu(401 * 401);
auto id = [&](int x, int y) {
return x * 401 + y;
};
for (int x = 0; x < 401; x++) {
for (int y = 0; y < 401; y++) {
std::vector<int> inside;
for (int i = 0; i < N; i++) {
if (x + pos[i].first < 401 && y + pos[i].second < 401) {
inside.push_back(id(x + pos[i].first, y + pos[i].second));
}
}
for (int i = 1; i < (int) inside.size(); i++) {
dsu.merge(inside[0], inside[i]);
}
inside.clear();
for (int i = 0; i < N; i++) {
if (x + pos2[i].first >= 0 && y + pos2[i].second >= 0) {
inside.push_back(id(x + pos2[i].first, y + pos2[i].second));
}
}
for (int i = 1; i < (int) inside.size(); i++) {
dsu.merge(inside[0], inside[i]);
}
}
}
std::cout << dsu.comp << nl;
}
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