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Merge pull request #191 from AlgorithmWithGod/khj20006
[20250227] BOJ / P3 / Starting a Scenic Railroad Service / 권혁준
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```cpp
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#include <iostream>
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#include <vector>
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#include <algorithm>
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#include <set>
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#include <ext/pb_ds/assoc_container.hpp>
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#include <ext/pb_ds/tree_policy.hpp>
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using namespace std;
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using namespace __gnu_pbds;
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using ll = long long;
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int seg[262145][2]{};
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#define ordered_set tree<ll, null_type, less_equal<ll>, rb_tree_tag, tree_order_statistics_node_update>
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ordered_set os;
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void upt(int s, int e, int i, int n, int x) {
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if (s == e) {
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seg[n][x]++;
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return;
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}
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int m = (s + e) >> 1;
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if (i <= m) upt(s, m, i, n * 2, x);
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else upt(m + 1, e, i, n * 2 + 1, x);
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seg[n][x]++;
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}
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int find(int s, int e, int l, int r, int n, int x) {
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if (l > r || l > e || r < s) return 0;
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if (l <= s && e <= r) return seg[n][x];
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int m = (s + e) >> 1;
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return find(s, m, l, r, n * 2, x) + find(m + 1, e, l, r, n * 2 + 1, x);
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}
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int main() {
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cin.tie(0)->sync_with_stdio(0);
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int N;
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cin >> N;
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vector<vector<int>> in(100001), out(100001);
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int H[200001]{};
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vector<pair<int, int>> V;
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for (int i = 1, a, b; i <= N; i++) {
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cin >> a >> b;
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in[a].push_back(i);
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out[b].push_back(i);
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V.emplace_back(a, b);
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upt(1, 100000, a, 1, 0);
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upt(1, 100000, b, 1, 1);
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}
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int s1 = 0;
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sort(V.begin(), V.end(), [](auto a, auto b) -> bool {
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if (a.second == b.second) return a.first > b.first;
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return a.second < b.second;
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});
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for (int i=0;i<V.size();i++) {
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while(i<V.size()-1 && V[i].first == V[i+1].first){
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os.insert(V[i++].first);
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}
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int a = V[i].first, b = V[i].second;
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int res = find(1, 100000, a, b-1, 1, 0) + find(1, 100000, a+1, b, 1, 1) - 1;
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res -= (os.size() - os.order_of_key(a));
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os.insert(a);
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s1 = max(s1, res);
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}
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set<int> S = { 0 };
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int s2 = 0, mex = 0;
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for (int x = 1; x <= 100000; x++) {
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for (int i : out[x]) {
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S.erase(H[i]);
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mex = min(mex, H[i]);
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}
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for (int i : in[x]) {
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while (S.count(mex)) mex++;
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S.insert(H[i] = mex++);
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}
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s2 = max(s2, *S.rbegin());
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}
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cout << s1 << ' ' << s2;
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}
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```

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