CodeForces 1691E Number of Groups

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#include <cstdio>
#include <algorithm>
#include <vector>
#include <set>
using namespace std;
const int N = 1e5;
int t, n, c[N], l[N], r[N], order[N], p[N], sz[N], cnt;
struct Cmp{
bool operator() (const int x, const int y) const {
return r[x] != r[y] ? r[x] < r[y] : x < y;
}
};
int find(int x) {
if (p[x] != x) p[x] = find(p[x]);
return p[x];
}
void connect(int x, int y) {
int px = find(x), py = find(y);
if (px != py) {
if (sz[x] > sz[y]) swap(x, y);
p[px] = py;
sz[y] += sz[x];
--cnt;
}
}
int main() {
scanf("%d", &t);
while (t--) {
scanf("%d", &n);
cnt = n;
vector<set<int, Cmp>> open(2);
for (int i = 0; i < n; ++i) {
scanf("%d%d%d", &c[i], &l[i], &r[i]);
p[i] = order[i] = i, sz[i] = 1;
}
sort(order, order + n, [&](int x, int y) {
return l[x] != l[y] ? l[x] < l[y] :
(r[x] != r[y] ? r[x] < r[y] : x < y);
});
for (int i = 0; i < n; ++i) {
int o = order[i];
int lo = l[o], ro = r[o], co = c[o], xc = co ^ 1;
auto &cs = open[co], &xs = open[xc];
while (cs.size() && r[*cs.begin()] < lo) cs.erase(cs.begin());
while (xs.size() && r[*xs.begin()] < lo) xs.erase(xs.begin());
cs.insert(o);
while (xs.size()) {
auto it = xs.begin();
connect(o, *it);
if (xs.size() > 1) xs.erase(it);
else break;
}
}
printf("%d\n", cnt);
}
return 0;
}