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 "werewolf.h"
using namespace std;
#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#define ll long long
#define chmax(x, y) x = max(x, y)
#define chmin(x, y) x = min(x, y)
#define pii pair<int, int>
using namespace std;
const int N = 1<<19, INF = 1e9, LG = 20;
class reachability {
public:
int sz;
int dsu[N], par[N];
vector<int> adj[N];
reachability(){}
reachability(int n) {
sz = n;
for (int i = 1; i <= n; i++)
dsu[i] = par[i] = i;
}
int root(int x) {
return x == dsu[x] ? x : dsu[x] = root(dsu[x]);
}
bool connect(int u, int v) {
u = root(u), v = root(v);
if (u == v) return false;
sz++;
dsu[u] = dsu[v] = dsu[sz] = sz;
par[u] = par[v] = par[sz] = sz;
adj[sz].push_back(u);
adj[sz].push_back(v);
return true;
}
int jmp[N][LG];
int dt[N], ft[N];
int _time;
int block[N];
// Maintain minimum/maximum in every subtree
int mn[N], mx[N];
void dfsTree() {
fill(mx, mx+sz+1, -INF);
fill(mn, mn+sz+1, +INF);
_time = 1;
dfs(sz);
}
void dfs(int node) {
dt[node] = _time++;
if (adj[node].size() == 0)
mn[node] = mx[node] = node;
for (int ch : adj[node]) {
dfs(ch);
chmin(mn[node], mn[ch]);
chmax(mx[node], mx[ch]);
}
ft[node] = _time-1;
}
void buildSt() {
for (int i = 1; i <= sz; i++)
jmp[i][0] = par[i];
for (int j = 1; j < LG; j++) {
for (int i = 1; i <= sz; i++) {
jmp[i][j] = jmp[jmp[i][j-1]][j-1];
}
}
}
void cutLastEdge() {
block[sz] = 1;
sz--;
}
int findCompLeqMx(int u, int lim) {
for (int i = LG-1; i >= 0; i--) {
if (mx[jmp[u][i]] <= lim) {
u = jmp[u][i];
}
}
return u;
}
int findCompGeqMn(int u, int lim) {
for (int i = LG-1; i >= 0; i--) {
if (mn[jmp[u][i]] >= lim) {
u = jmp[u][i];
}
}
return u;
}
int findComp(int u) {
for (int i = LG-1; i >= 0; i--) {
if (!block[jmp[u][i]]) {
u = jmp[u][i];
}
}
return u;
}
};
int tree[4*N];
void update(int idx, int l=0, int r=N-1, int node=1) {
if (l == r) {
tree[node]++;
return;
}
const int mid = (l+r)/2;
if (idx <= mid)
update(idx, l, mid, node*2);
else
update(idx, mid+1, r, node*2+1);
tree[node] = tree[node*2] + tree[node*2+1];
}
ll query(int ql, int qr, int l=0, int r=N-1, int node=1) {
if (ql <= l && r <= qr) return tree[node];
if (l > qr || r < ql) return 0;
const int mid = (l+r)/2;
return query(ql, qr, l, mid, node*2) + query(ql, qr, mid+1, r, node*2+1);
}
vector<int> adj[N];
vector<int> check_validity(int N, vector<int> X, vector<int> Y, vector<int> S, vector<int> E, vector<int> L, vector<int> R)
{
const int M = X.size(), Q = S.size();
for (int i = 0; i < M; i++)
X[i]++, Y[i]++;
for (int i = 0; i < Q; i++)
S[i]++, E[i]++, L[i]++, R[i]++;
for (int i = 0; i < M; i++)
adj[X[i]].push_back(Y[i]),
adj[Y[i]].push_back(X[i]);
reachability human(N), werewolf(N);
for (int i = 1; i <= N; i++)
for (int ch : adj[i])
if (ch <= i)
werewolf.connect(i, ch);
for (int i = N; i >= 1; i--)
for (int ch : adj[i])
if (ch >= i)
human.connect(i, ch);
human.dfsTree();human.buildSt();
werewolf.dfsTree();werewolf.buildSt();
// [type, yl, yr, idx]
const int MX = 1e6;
vector<array<int, 4>> evts[MX];
for (int i = 1; i <= N; i++)
evts[human.dt[i]].push_back({0, werewolf.dt[i], 0, 0});
for (int i = 0; i < Q; i++) {
int u = human.findCompGeqMn(S[i], L[i]); // [L...N]
int v = werewolf.findCompLeqMx(E[i], R[i]); // [1...R]
evts[human.dt[u]-1].push_back({-1, werewolf.dt[v], werewolf.ft[v], i});
evts[human.ft[u]].push_back({1, werewolf.dt[v], werewolf.ft[v], i});
}
vector<int> sol(Q);
for (int i = 0; i < MX; i++) {
for (auto [type,a,b,idx] : evts[i]) {
if (type == 0) {
update(a);
} else {
//cerr << i << ' ' << a << ' ' << b << endl;
sol[idx] += type * query(a, b);
}
}
}
for (int i = 0; i < Q; i++)
sol[i] = !!sol[i];
return sol;
}
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