#include <bits/stdc++.h>
// cut here
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
int ceil_pow2(int n) {
int x = 0;
while ((1U << x) < (unsigned int)(n)) x++;
return x;
}
int bsf(unsigned int n) {
#ifdef _MSC_VER
unsigned long index;
_BitScanForward(&index, n);
return index;
#else
return __builtin_ctz(n);
#endif
}
} // namespace internal
} // namespace atcoder
namespace atcoder {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
public:
segtree() : segtree(0) {}
segtree(int n) : segtree(std::vector<S>(n, e())) {}
segtree(const std::vector<S>& v) : _n(int(v.size())) {
log = internal::ceil_pow2(_n);
size = 1 << log;
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
update(i);
}
}
void set(int p, S x) {
assert(0 <= p && p < _n);
p += size;
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
}
S get(int p) {
assert(0 <= p && p < _n);
return d[p + size];
}
S prod(int l, int r) {
assert(0 <= l && l <= r && r <= _n);
S sml = e(), smr = e();
l += size;
r += size;
while (l < r) {
if (l & 1) sml = op(sml, d[l++]);
if (r & 1) smr = op(d[--r], smr);
l >>= 1;
r >>= 1;
}
return op(sml, smr);
}
S all_prod() { return d[1]; }
template <bool (*f)(S)> int max_right(int l) {
return max_right(l, [](S x) { return f(x); });
}
template <class F> int max_right(int l, F f) {
assert(0 <= l && l <= _n);
assert(f(e()));
if (l == _n) return _n;
l += size;
S sm = e();
do {
while (l % 2 == 0) l >>= 1;
if (!f(op(sm, d[l]))) {
while (l < size) {
l = (2 * l);
if (f(op(sm, d[l]))) {
sm = op(sm, d[l]);
l++;
}
}
return l - size;
}
sm = op(sm, d[l]);
l++;
} while ((l & -l) != l);
return _n;
}
template <bool (*f)(S)> int min_left(int r) {
return min_left(r, [](S x) { return f(x); });
}
template <class F> int min_left(int r, F f) {
assert(0 <= r && r <= _n);
assert(f(e()));
if (r == 0) return 0;
r += size;
S sm = e();
do {
r--;
while (r > 1 && (r % 2)) r >>= 1;
if (!f(op(d[r], sm))) {
while (r < size) {
r = (2 * r + 1);
if (f(op(d[r], sm))) {
sm = op(d[r], sm);
r--;
}
}
return r + 1 - size;
}
sm = op(d[r], sm);
} while ((r & -r) != r);
return 0;
}
private:
int _n, size, log;
std::vector<S> d;
void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); }
};
} // namespace atcoder
// cut here
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3RhsN1z ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
// e
const int inf=1e9;
pii op(pii l,pii r){return l.fi>r.fi?l:r;}
pii e(){return {-inf,-1};}
signed main(){
_3RhsN1z;
int n,q;
cin>>n>>q;
using Fp=pair<pii,pii>;
vec(Fp) a;
rep(i,n){
pii s,t;
cin>>s.fi>>s.se>>t.fi>>t.se;
a.pb(Fp(s,t));
}
vec(Fp) qry;
rep(_,q){
int x,y,k;
cin>>x>>y>>k;
qry.pb(Fp(pii(x,y),pii(k,_)));
}
#define uniq(tmp) sort(tmp.begin(),tmp.end()),tmp.erase(unique(tmp.begin(),tmp.end()),tmp.end())
int m;
{
vi tmp;
rep(i,n){
tmp.pb(a[i].fi.fi);
tmp.pb(a[i].fi.fi+1);
tmp.pb(a[i].se.fi);
tmp.pb(a[i].se.fi+1);
tmp.pb(a[i].fi.se);
tmp.pb(a[i].fi.se+1);
tmp.pb(a[i].se.se);
tmp.pb(a[i].se.se+1);
}
rep(i,q){
tmp.pb(qry[i].fi.fi);
tmp.pb(qry[i].fi.fi+1);
tmp.pb(qry[i].fi.se);
tmp.pb(qry[i].fi.se+1);
}
uniq(tmp);
rep(i,n){
pii s=a[i].fi,t=a[i].se;
s.fi=(int)(lower_bound(tmp.begin(),tmp.end(),s.fi)-tmp.begin());
s.se=(int)(lower_bound(tmp.begin(),tmp.end(),s.se)-tmp.begin());
t.fi=(int)(lower_bound(tmp.begin(),tmp.end(),t.fi)-tmp.begin());
t.se=(int)(lower_bound(tmp.begin(),tmp.end(),t.se)-tmp.begin());
a[i].fi=s;
a[i].se=t;
}
rep(i,q){
pii s=qry[i].fi;
s.fi=(int)(lower_bound(tmp.begin(),tmp.end(),s.fi)-tmp.begin());
s.se=(int)(lower_bound(tmp.begin(),tmp.end(),s.se)-tmp.begin());
qry[i].fi=s;
}
m=sz(tmp);
}
vec(vec(pii)) adqry(m);
rep(i,n){
pii s,t;
s=a[i].fi,t=a[i].se;
adqry[s.fi].pb({1,i});
if(t.fi+1<m){
adqry[t.fi+1].pb({0,i});
}
}
rep(i,q){
pii s=qry[i].fi;
adqry[s.fi].pb({2,i});
}
atcoder::segtree<pii,op,e> seg(m);
vec(vi) adj(n),qs(n);
vi deg(n);
rep(i,m){
sort(adqry[i].begin(),adqry[i].end());
for(auto [t,id]:adqry[i]){
if(t==1){
int sy=a[id].fi.se;
int ty=a[id].se.se;
int _l=0,_r=sy;
int _c=-1;
while(_l<=_r){
int _m=(_l+_r)/2;
if(seg.prod(_m,sy+1).fi>=ty){
_c=_m,_l=_m+1;
}else{
_r=_m-1;
}
}
if(_c!=-1){
int u=seg.get(_c).se;
adj[u].pb(id);
deg[id]+=1;
}
seg.set(sy,{ty,id});
}else if(t==0){
int sy=a[id].fi.se;
seg.set(sy,{-inf,-1});
}else{
int sy=qry[id].fi.se;
int _l=0,_r=sy;
int _c=-1;
while(_l<=_r){
int _m=(_l+_r)/2;
if(seg.prod(_m,sy+1).fi>=sy){
_c=_m,_l=_m+1;
}else{
_r=_m-1;
}
}
if(_c!=-1){
int u=seg.get(_c).se;
qs[u].pb(qry[id].se.fi);
}
}
}
}
vi rts;
rep(v,n){
if(deg[v]==0){
rts.pb(v);
}
}
vi ctr(n);
vec(set<int>) rbts(n);
vi pns(n);
auto dfs=[&](auto self,int v,int par)->void{
ctr[v]=v;
for(auto k:qs[v]){
rbts[v].insert(k);
}
int opt=v;
for(auto u:adj[v]){
self(self,u,v);
int up=ctr[u];
if(sz(rbts[up])>sz(rbts[opt])){
opt=up;
}
}
for(auto u:adj[v]){
int up=ctr[u];
if(up!=opt){
for(auto x:rbts[up]){
rbts[opt].insert(x);
}
}
}
ctr[v]=opt;
for(auto k:qs[v]){
rbts[opt].insert(k);
}
pns[v]=sz(rbts[opt]);
};
for(auto rt:rts){
dfs(dfs,rt,-1);
}
rep(v,n){
cout<<pns[v]<<"\n";
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
191 ms |
23192 KB |
Output is correct |
| 2 |
Correct |
204 ms |
19088 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
252 ms |
27936 KB |
Output is correct |
| 2 |
Correct |
225 ms |
26300 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
419 ms |
50812 KB |
Output is correct |
| 2 |
Correct |
456 ms |
35960 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
713 ms |
70736 KB |
Output is correct |
| 2 |
Correct |
707 ms |
62984 KB |
Output is correct |
| 3 |
Correct |
0 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
684 ms |
68456 KB |
Output is correct |
| 2 |
Correct |
750 ms |
59136 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
