// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
*/
const int MOD = 1e9 + 7;
const int N = 8e4 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
template<typename T>
struct segtree {
// https://codeforces.com/blog/entry/18051
/*=======================================================*/
struct data {
set<pii> st;
};
data neutral = {};
data merge(data &left, data &right) {
return data();
}
void create(int i, T v) {
}
void modify(int i, T v) {
}
/*=======================================================*/
int n;
vector<data> tr;
segtree() {
}
segtree(int siz) {
init(siz);
}
void init(int siz) {
n = siz;
tr.assign(2 * n, neutral);
}
void build(vector<T> &a, int siz) {
rep(i, siz) create(i + n, a[i]);
rev(i, n - 1, 1) tr[i] = merge(tr[i << 1], tr[i << 1 | 1]);
}
void pupd(int i, T v) {
pii p = {v[1], v[2]};
for (i += n; i; i >>= 1) {
if (v[0] == 1) {
tr[i].st.insert(p);
}
else {
tr[i].st.erase(p);
}
}
}
pii query(int l, int r, int mn) {
pii best = {inf1, inf1};
pii key = {mn, -1};
for (l += n, r += n; l <= r; l >>= 1, r >>= 1) {
if (l & 1) {
auto &st = tr[l++].st;
auto it = st.lower_bound(key);
if (it != st.end()) {
amin(best, *it);
}
}
if (!(r & 1)) {
auto &st = tr[r--].st;
auto it = st.lower_bound(key);
if (it != st.end()) {
amin(best, *it);
}
}
}
return best;
}
};
vector<int> adj[N];
vector<int> subsiz(N);
void dfs1(int u, int p) {
subsiz[u] = 1;
trav(v, adj[u]) {
if (v == p) conts;
dfs1(v, u);
subsiz[u] += subsiz[v];
}
}
vector<int> ans(N);
set<int> here[N];
set<int> st[N];
void dfs2(int u, int p) {
int mx = -1, largest = -1;
trav(v, adj[u]) {
if (v == p) conts;
if (subsiz[v] > mx) {
mx = subsiz[v];
largest = v;
}
}
if (largest != -1) {
dfs2(largest, u);
swap(st[u], st[largest]);
}
trav(v, adj[u]) {
if (v == p or v == largest) conts;
dfs2(v, u);
trav(x, st[v]) {
st[u].insert(x);
}
st[v].clear();
}
trav(x, here[u]) {
st[u].insert(x);
}
ans[u] = sz(st[u]);
}
void solve(int test_case)
{
int n, m; cin >> n >> m;
vector<array<int, 4>> a(n);
vector<array<int, 3>> b(m);
rep(i, n) rep(j, 4) cin >> a[i][j];
rep(i, m) rep(j, 3) cin >> b[i][j];
vector<pair<ll, int>> process_order;
rep(i, n) {
ll area = (ll) (a[i][2] - a[i][0]) * (a[i][3] - a[i][1]);
process_order.pb({area, i});
}
sort(all(process_order));
vector<pii> points;
rep(i, n) points.pb({a[i][0], a[i][1]});
rep(i, m) points.pb({b[i][0], b[i][1]});
sort(all(points));
points.resize(unique(all(points)) - points.begin());
int siz = sz(points);
segtree<array<int, 3>> st(siz + 5);
vector<int> par(n, -1);
for (auto [area, i] : process_order) {
auto [x1, y1, x2, y2] = a[i];
pii p = {x1, -1};
int l = lower_bound(all(points), p) - points.begin();
p = {x2 + 1, -1};
int r = upper_bound(all(points), p) - points.begin() - 1;
while (true) {
auto [mny, j] = st.query(l, r, y1);
if (mny > y2) break;
adj[i].pb(j);
par[j] = i;
p = {a[j][0], a[j][1]};
int ind = lower_bound(all(points), p) - points.begin();
st.pupd(ind, {2, a[j][1], j});
}
p = {x1, y1};
int ind = lower_bound(all(points), p) - points.begin();
st.pupd(ind, {1, a[i][1], i});
}
st = segtree<array<int, 3>>(siz + 5);
rep(j, m) {
auto [x, y, c] = b[j];
pii p = {x, y};
int ind = lower_bound(all(points), p) - points.begin();
st.pupd(ind, {1, y, j});
}
for (auto [area, i] : process_order) {
auto [x1, y1, x2, y2] = a[i];
pii p = {x1, -1};
int l = lower_bound(all(points), p) - points.begin();
p = {x2 + 1, -1};
int r = upper_bound(all(points), p) - points.begin() - 1;
while (true) {
auto [mny, j] = st.query(l, r, y1);
if (mny > y2) break;
int c = b[j][2];
here[i].insert(c);
p = {b[j][0], b[j][1]};
int ind = lower_bound(all(points), p) - points.begin();
st.pupd(ind, {2, b[j][1], j});
}
}
rep(i, n) {
if (par[i] == -1) {
dfs1(i, -1);
dfs2(i, -1);
}
}
rep(i, n) cout << ans[i] << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
505 ms |
45216 KB |
Output is correct |
| 2 |
Correct |
496 ms |
44868 KB |
Output is correct |
| 3 |
Correct |
5 ms |
10352 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
461 ms |
43668 KB |
Output is correct |
| 2 |
Correct |
526 ms |
42648 KB |
Output is correct |
| 3 |
Correct |
5 ms |
10332 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
883 ms |
69136 KB |
Output is correct |
| 2 |
Correct |
1038 ms |
68588 KB |
Output is correct |
| 3 |
Correct |
6 ms |
10324 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1695 ms |
106556 KB |
Output is correct |
| 2 |
Execution timed out |
2071 ms |
100312 KB |
Time limit exceeded |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1717 ms |
104564 KB |
Output is correct |
| 2 |
Correct |
1807 ms |
110192 KB |
Output is correct |
| 3 |
Correct |
8 ms |
10580 KB |
Output is correct |
