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>
using namespace std;
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m;
cin >> n >> m;
vector<int> a(n), b(n), c(n), d(n);
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i] >> c[i] >> d[i];
}
vector<int> x(m), y(m), k(m);
for (int i = 0; i < m; i++) {
cin >> x[i] >> y[i] >> k[i];
}
vector<int> xs;
for (int i = 0; i < n; i++) {
xs.push_back(b[i]);
xs.push_back(d[i]);
}
for (int i = 0; i < m; i++) {
xs.push_back(y[i]);
}
sort(xs.begin(), xs.end());
xs.erase(unique(xs.begin(), xs.end()), xs.end());
for (int i = 0; i < n; i++) {
b[i] = (int) (lower_bound(xs.begin(), xs.end(), b[i]) - xs.begin());
d[i] = (int) (lower_bound(xs.begin(), xs.end(), d[i]) - xs.begin());
}
for (int i = 0; i < m; i++) {
y[i] = (int) (lower_bound(xs.begin(), xs.end(), y[i]) - xs.begin());
}
vector<array<int, 3>> ev;
for (int i = 0; i < n; i++) {
ev.push_back({a[i], i, 0});
ev.push_back({c[i] + 1, ~i, 1});
}
for (int i = 0; i < m; i++) {
ev.push_back({x[i], n + i, 2});
}
sort(ev.begin(), ev.end());
vector<vector<int>> g(n);
vector<set<int>> col(n);
int lst;
vector<vector<int>> stk(24 * n);
function<void(int, int, int, int, int, int)> Insert = [&](int id, int l, int r, int ll, int rr, int v) {
if (ll <= l && r <= rr) {
stk[id].push_back(v);
return;
}
int mid = (l + r) >> 1;
if (rr <= mid) {
Insert(id * 2, l, mid, ll, rr, v);
} else if (ll > mid) {
Insert(id * 2 + 1, mid + 1, r, ll, rr, v);
} else {
Insert(id * 2, l, mid, ll, rr, v);
Insert(id * 2 + 1, mid + 1, r, ll, rr, v);
}
};
function<void(int, int, int, int, int)> Pop = [&](int id, int l, int r, int ll, int rr) {
if (ll <= l && r <= rr) {
stk[id].pop_back();
return;
}
int mid = (l + r) >> 1;
if (rr <= mid) {
Pop(id * 2, l, mid, ll, rr);
} else if (ll > mid) {
Pop(id * 2 + 1, mid + 1, r, ll, rr);
} else {
Pop(id * 2, l, mid, ll, rr);
Pop(id * 2 + 1, mid + 1, r, ll, rr);
}
};
function<void(int, int, int, int)> Query = [&](int id, int l, int r, int p) {
if (!stk[id].empty()) {
lst = stk[id].back();
}
if (l == r) {
return;
}
int mid = (l + r) >> 1;
if (p <= mid) {
Query(id * 2, l, mid, p);
} else {
Query(id * 2 + 1, mid + 1, r, p);
}
};
for (auto& p : ev) {
int i = p[1];
if (p[2] == 0) {
lst = -1;
Query(1, 0, 3 * n - 1, b[i]);
Insert(1, 0, 3 * n - 1, b[i], d[i], i);
if (lst != -1) {
g[lst].push_back(i);
}
}
if (p[2] == 1) {
i = ~i;
Pop(1, 0, 3 * n - 1, b[i], d[i]);
}
if (p[2] == 2) {
i -= n;
lst = -1;
Query(1, 0, 3 * n - 1, y[i]);
if (lst != -1) {
col[lst].insert(k[i]);
}
}
}
vector<bool> root(n, true);
for (int i = 0; i < n; i++) {
for (int j : g[i]) {
root[j] = false;
}
}
vector<int> res(n);
vector<int> where(n);
function<void(int)> Dfs = [&](int v) {
where[v] = v;
for (int u : g[v]) {
Dfs(u);
if (col[where[v]].size() < col[where[u]].size()) {
swap(where[v], where[u]);
}
for (int c : col[where[u]]) {
col[where[v]].insert(c);
}
col[where[u]].clear();
}
res[v] = (int) col[where[v]].size();
};
for (int i = 0; i < n; i++) {
if (root[i]) {
Dfs(i);
}
}
for (int i = 0; i < n; i++) {
cout << res[i] << '\n';
}
return 0;
}
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