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;
typedef long long int64;
const int maxn = 2e5 + 2;
const int lg = 20;
vector <int> ad [maxn];
vector <int> reach [2][maxn];
int dsu [maxn];
int bit [maxn * 2 + 200];
int up [2][maxn][lg];
int in [2][maxn];
int val [2][maxn];
int sz [2][maxn];
int ps = 2;
int dad (int x) {
return dsu[x] = (x == dsu[x] ? x: dad(dsu[x]));
}
void dfs (int t, int u) {
in[t][u] = ++ps, sz[t][u] = 1;
for (int i = 1; i < lg; i++){
up[t][u][i] = up[t][up[t][u][i-1]][i-1];
}
for (int v: reach[t][u]) {
up[t][v][0] = u;
dfs(t, v);
sz[t][u]+=sz[t][v];
}
}
void add (int x, int y) {
for (; x < maxn * 2 + 20; x+=x & -x) bit[x]+=y;
}
int query (int x) {
int rs = 0;
for (; x; x-=x & -x) rs+=bit[x];
return rs;
}
struct event {
int type; // 1 -> start, 2 -> point, 3 -> end
int x; // OX
int l; // OY
int r; // OY
int idx;
inline bool operator < (const event& oth) const {
if (x == oth.x) return type < oth.type;
return x < oth.x;
}
};
vector<int> check_validity(int N, vector<int> X, vector<int> Y,
vector<int> S, vector<int> E,
vector<int> L, vector<int> R) {
int M = X.size(), Q = L.size();
vector <int> rs (Q);
for (int i = 0; i < M; i++){
ad[X[i]].push_back(Y[i]);
ad[Y[i]].push_back(X[i]);
}
iota (dsu, dsu + maxn, 0);
for (int i = 0; i < N; i++){
for (int j: ad[i]) {
if (j > i) continue;
if (dad(j) != i) {
reach[0][i].push_back(dad(j));
dsu[dad(j)] = i;
}
}
}
iota (dsu, dsu + maxn, 0);
for (int i = N - 1; i >= 0; i--) {
for (int j: ad[i]) {
if (j < i) continue;
if (dad(j) != i) {
reach[1][i].push_back(dad(j));
dsu[dad(j)] = i;
}
}
}
up[0][N-1][0] = N-1;
up[1][0][0] = 0;
dfs(0, N - 1);
ps = 2;
dfs(1, 0);
for (int i = 0; i < Q; i++){
for (int j = lg - 1; j >= 0; j--){
if (up[1][S[i]][j] >= L[i]) S[i] = up[1][S[i]][j];
if (up[0][E[i]][j] <= R[i]) E[i] = up[0][E[i]][j];
}
}
vector <event> ev;
for (int i = 0; i < N; i++){
ev.push_back({2, in[1][i], in[0][i], in[0][i], i});
}
for (int i = 0; i < Q; i++){
ev.push_back({1, in[1][S[i]], in[0][E[i]], in[0][E[i]] + sz[0][E[i]] - 1, i});
ev.push_back({3, in[1][S[i]] + sz[1][S[i]] - 1, in[0][E[i]], in[0][E[i]] + sz[0][E[i]] - 1, i});
}
sort(ev.begin(), ev.end());
for (auto& [t, x, l, r, id]: ev) {
if (t == 1) {
rs[id] -= query(r) - query(l - 1);
}
else if (t == 2) {
add(l, 1);
}
else {
rs[id] += query(r) - query(l - 1);
}
}
for (int i = 0; i < Q; i++){
rs[i] = !!rs[i];
}
return rs;
}
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