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;
#define int long long
struct Node{
int size, time_created, lazy;
array<int,2> c;
Node(int time, int _size = 0):
size(_size), time_created(time), lazy(0), c({-1, -1}){}
};
struct PersMaxXORTrie{
vector<Node> nodes;
// root: nodes[0]
// todos numeros sao armazenados em nos terminais
// um no terminal pode manter mais de um numero
PersMaxXORTrie(){
nodes.push_back(Node(-1));
}
bool get_bit(int x, int i){
return (x >> i) & 1;
}
void add(int num, int time, int curr_node = 0, int curr_bit = 31){
nodes[curr_node].size++;
if(curr_bit == -1) return;
nodes[curr_node].time_created = min(nodes[curr_node].time_created, time);
int b = get_bit(num, curr_bit);
if(nodes[curr_node].c[b] == -1){
nodes[curr_node].c[b] = nodes.size();
nodes.push_back(Node(time));
}
add(num, time, nodes[curr_node].c[b], curr_bit - 1);
}
int query_max(int num, int max_perm_time, int curr_node = 0, int curr_bit = 31){
// want to max (num ^ x)
if(curr_bit == -1) return 0; // base recursion case
assert(nodes[curr_node].size > 0); // cant enter an empty node
int b = !get_bit(num, curr_bit); // target bit (maximize xor)
if((nodes[curr_node].c[b] != -1) && (nodes[nodes[curr_node].c[b]].time_created <= max_perm_time)){
return query_max(num, max_perm_time, nodes[curr_node].c[b], curr_bit - 1) + (b << curr_bit);
}else{
return query_max(num, max_perm_time, nodes[curr_node].c[!b], curr_bit - 1) + ((!b) << curr_bit);
}
}
};
#define MAXN 500010
vector<int> v[MAXN];
int dfs_time = 0;
int xor_until[MAXN];
int sz[MAXN];
int w[MAXN];
int beg[MAXN], en[MAXN], ver[MAXN];
int time_added[MAXN];
PersMaxXORTrie tries[MAXN];
void preprocess_dfs(int x, int p){
// xor preffix
xor_until[x] = xor_until[p] ^ w[x];
// sack
ver[dfs_time] = x;
beg[x] = dfs_time++;
sz[x] = 1;
for(auto y : v[x]){
if(y != p){
preprocess_dfs(y, x);
sz[x] += sz[y];
}
}
// sack
en[x] = dfs_time;
}
vector<pair<int,int>> queries[MAXN]; // time, val
int ans[MAXN];
void solve(int x){
int heavy_child = -1;
int max_size = -1;
for (auto k : v[x]){
if (sz[k] > max_size){
max_size = sz[k];
heavy_child = k;
}
}
for (auto k : v[x]) solve(k);
if(heavy_child != -1){
swap(tries[x], tries[heavy_child]);
// tries[x].xor_all(w[heavy_child]);
for (auto k : v[x]){
tries[k].nodes.clear();
if (k != heavy_child){
for(int it = beg[k]; it < en[k]; ++it){
tries[x].add(xor_until[ver[it]], time_added[ver[it]]);
}
}
}
}
tries[x].add(xor_until[x], -1);
// cout << x << endl;
// for(auto y : tries[x].added){
// cout << y << ", ";
// }cout << endl;
for(auto [t, a] : queries[x]){
// cout << a << " " << tries[x].query_max(a, t) << endl;
ans[t] = a ^ tries[x].query_max(a, t);
// if(ans[t] == 1073617240){
// cout << a << " " << tries[x].query_max(a, t) << endl;
// }
}
}
signed main(){
for(int i=0;i<MAXN;i++){
ans[i]=-1;
xor_until[i]=0;
}
int next_node = 2;
int n; cin >> n;
vector<pair<int,pair<int,int>>> q;
for(int i = 0; i < n; ++i){
string s; cin >> s;
if(s[0] == 'A'){
int par, weight; cin >> par >> weight;
time_added[next_node] = i;
w[next_node] = weight;
v[par].push_back(next_node);
next_node++;
}else{
int start, subtree; cin >> start >> subtree;
q.push_back({i, {start, subtree}});
}
}
preprocess_dfs(1, 0);
for(auto [i, ab] : q){
auto [start, subtree] = ab;
int val = xor_until[start];
queries[subtree].push_back({i, val});
}
q.clear();
solve(1);
for(int i = 0; i < MAXN; ++i){
if(ans[i] != -1) cout << ans[i] << "\n";
}
}
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