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P2906 [USACO08OPEN]Cow Neighborhoods G
https://www.luogu.com.cn/record/77072894
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Luogu/P2906/P2906.cpp
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Luogu/P2906/P2906.cpp
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#include <iostream>
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#include <algorithm>
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#include <set>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5;
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int n, c, fa[N], cnt[N], ans, max;
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std::pair<int, int> points[N];
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std::set<std::pair<int, int>> set;
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int find(int x) {
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return fa[x] == x ? x : fa[x] = find(fa[x]);
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}
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inline void merge(int x, int y) {
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fa[find(x)] = find(y);
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> c;
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for (int i = 1, x, y; i <= n; i++) {
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cin >> x >> y;
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points[i] = std::make_pair(x + y, x - y);
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fa[i] = i;
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}
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std::sort(points + 1, points + 1 + n);
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set.insert(std::make_pair(points[1].second, 1));
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for (int i = 2, l = 1; i <= n; i++) {
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while (points[i].first - points[l].first > c) {
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set.erase(std::make_pair(points[l].second, l));
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l++;
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}
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auto it = set.lower_bound(std::make_pair(points[i].second, 0));
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if (it != set.end() && it->first - points[i].second <= c) merge(i, it->second);
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if (it != set.begin() && points[i].second - (--it)->first <= c) merge(i, it->second);
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set.insert(std::make_pair(points[i].second, i));
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}
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for (int i = 1; i <= n; i++) {
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if (find(i) == i) ans++;
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max = std::max(max, ++cnt[find(i)]);
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}
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cout << ans << ' ' << max << endl;
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return 0;
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}
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