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>
#define fr(i, n, m) for(int i = (n); i < (m); i ++)
#define pb push_back
#define st first
#define nd second
#define pq priority_queue
#define all(x) begin(x), end(x)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
ll const inf = 1e9;
ll const mod = 1e9 + 7;
ld const eps = 1e-13;
int n, m, q;
vector<pii> g[100005];
vector<pii> intervals[100005];
int cnt[100005];
bool deleted[1000005];
int sub[100005];
int temp_size;
void dfs0(int u, int p){
sub[u] = 1;
for(auto e : g[u]){
if(!deleted[e.st] && e.st != p){
dfs0(e.st, u);
sub[u] += sub[e.st];
}
}
}
int dfs1(int u, int p){
for(auto e : g[u]){
if(!deleted[e.st] && e.st != p && sub[e.st] > temp_size / 2){
return dfs1(e.st, u);
}
}
return u;
}
int seg[1000006];
int zet[1000006];
void update(int k, int l, int r, int x, int y, int add, int z){
zet[k] += z;
if(r < x || y < l) return;
if(x <= l && r <= y){
zet[k] += add;
return;
}
int mid = (l + r) / 2;
update(k * 2, l, mid, x, y, add, zet[k]);
update(k * 2 + 1, mid + 1, r, x, y, add, zet[k]);
zet[k] = 0;
seg[k] = max(seg[k * 2] + zet[k * 2], seg[k * 2 + 1] + zet[k * 2 + 1]);
}
int findpos(int k, int l, int r, int val, bool dir){
if(l == r){
return l;
}
int mid = (l + r) / 2;
zet[k * 2] += zet[k];
zet[k * 2 + 1] += zet[k];
zet[k] = 0;
seg[k] = max(seg[k * 2] + zet[k * 2], seg[k * 2 + 1] + zet[k * 2 + 1]);
if(dir){
if(seg[k * 2 + 1] + zet[k * 2 + 1] == val){
return findpos(k * 2 + 1, mid + 1, r, val, dir);
}
else if(seg[k * 2] + zet[k * 2] == val){
return findpos(k * 2, l, mid, val, dir);
}
}
else{
if(seg[k * 2] + zet[k * 2] == val){
return findpos(k * 2, l, mid, val, dir);
}
else if(seg[k * 2 + 1] + zet[k * 2 + 1] == val){
return findpos(k * 2 + 1, mid + 1, r, val, dir);
}
}
return -1;
}
int l[100005], r[100005];
vector<int> V[100005];
void dfs2(int u, int p, int c){
for(auto e : g[u]){
if(deleted[e.st] || e.st == p) continue;
for(auto i : intervals[e.nd]){
update(1, 0, m, i.st, i.nd, + 1, 0);
}
l[e.st] = findpos(1, 0, m, c + 1, 0);
r[e.st] = findpos(1, 0, m, c + 1, 1);
dfs2(e.st, u, c + 1);
for(auto i : intervals[e.nd]){
update(1, 0, m, i.st, i.nd, - 1, 0);
}
}
}
void dfs3(int u, int p, int comp){
V[comp].pb(u);
for(auto e : g[u]){
if(deleted[e.st] || e.st == p) continue;
dfs3(e.st, u, comp);
}
}
int BIT[100005];
void sumupdate(int k, int add){
while(k < 100005){
BIT[k] += add;
k += k&-k;
}
}
int sumquery(int k){
int s = 0;
while(k > 0){
s += BIT[k];
k -= k&-k;
}
return s;
}
void decompose(int root){
dfs0(root, root);
temp_size = sub[root];
int centroid = dfs1(root, root);
dfs2(centroid, centroid, 0);
int c = 0;
for(auto u : g[centroid]){
if(deleted[u.st]) continue;
dfs3(u.st, centroid, c);
++c;
}
fr(i, 0, c){
for(auto u : V[i]){
if(l[u] == -1) continue;
cnt[centroid] ++;
cnt[u] ++;
sumupdate(l[u], 1);
}
}
fr(i, 0, c){
for(auto u : V[i]){
if(l[u] == -1) continue;
sumupdate(l[u], -1);
}
for(auto u : V[i]){
cnt[u] += sumquery(r[u]);
}
for(auto u : V[i]){
if(l[u] == -1) continue;
sumupdate(l[u], +1);
}
}
fr(i, 0, c){
for(auto u : V[i]){
if(l[u] == -1) continue;
sumupdate(l[u], -1);
}
V[i].clear();
}
deleted[centroid] = true;
for(auto u : g[centroid]){
if(!deleted[u.st]){
decompose(u.st);
}
}
}
void solve(){
cin >> n >> m >> q;
fr(i, 0, n - 1){
int u, v;
cin >> u >> v;
--u, --v;
g[u].pb({v, i});
g[v].pb({u, i});
}
int _last[n];
memset(_last, -1, sizeof(_last));
fr(i, 0, m){
int _ed;
cin >> _ed;
--_ed;
if(_last[_ed] == -1){
_last[_ed] = i;
}
else{
intervals[_ed].pb({_last[_ed] + 1, i + 1});
_last[_ed] = -1;
}
}
fr(i, 0, n - 1){
if(_last[i] != -1){
intervals[i].pb({_last[i] + 1, m});
}
}
decompose(0);
while(q --){
int _node;
cin >> _node;
--_node;
cout << cnt[_node] + 1<< endl;
}
}
int main()
{
solve();
return 0;
}
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