#include<bits/stdc++.h>
using namespace std;
#define MAXN 200010
struct Node{
int size, time_created, lazy;
int c[2];
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
void propagate_xor(int node, int curr_bit){
if(get_bit(nodes[node].lazy, curr_bit)){
swap(nodes[node].c[0], nodes[node].c[1]);
}
for(int i = 0; i < 2; ++i){
if(nodes[node].c[i] != -1){
nodes[nodes[node].c[i]].lazy ^= nodes[node].lazy;
}
}
nodes[node].lazy = 0;
}
void xor_all(int x){
nodes[0].lazy ^= x;
}
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;
propagate_xor(curr_node, curr_bit);
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
propagate_xor(curr_node, curr_bit);
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);
}
}
};
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];
int 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;
}
map<int, vector<pair<int,int>>> queries; // time, val
map<int, int> ans;
PersMaxXORTrie solve(int x){
int heavy_child = -1;
int max_size = -1;
// cout << 1 << " " << x << " " << d<< endl;
for (auto k : v[x]){
if (sz[k] > max_size){
max_size = sz[k];
heavy_child = k;
}
}
// cout << 2 << " " << x << endl;
PersMaxXORTrie heavy_trie;
for (auto k : v[x]){
if(k == heavy_child) heavy_trie = solve(k);
else solve(k);
}
if(heavy_child != -1){
heavy_trie.xor_all(w[heavy_child]);
for (auto k : v[x]){
if (k != heavy_child){
for(int it = beg[k]; it < en[k]; ++it){
heavy_trie.add(xor_until[ver[it]] ^ xor_until[x], time_added[ver[it]]);
}
}
}
}
// cout << 4 << endl;
heavy_trie.add(0, time_added[x]);
// cout << ">>" << endl;
for(auto [t, a] : queries[x]){
ans[t] = a ^ heavy_trie.query_max(a, t);
}
// cout << "<<" << endl;
heavy_trie.add(w[x], time_added[x]);
return heavy_trie;
}
int main(){
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] ^ xor_until[subtree];
queries[subtree].push_back({i, val});
}
q.clear();
solve(1);
for(auto [_, val] : ans) cout << val << "\n";
}
Compilation message
klasika.cpp: In constructor 'Node::Node(int, int)':
klasika.cpp:10:57: warning: list-initializer for non-class type must not be parenthesized
10 | size(_size), time_created(time), lazy(0), c({-1, -1}){}
| ^
klasika.cpp: In function 'int preprocess_dfs(int, int)':
klasika.cpp:105:1: warning: no return statement in function returning non-void [-Wreturn-type]
105 | }
| ^
klasika.cpp: In function 'PersMaxXORTrie solve(int)':
klasika.cpp:145:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
145 | for(auto [t, a] : queries[x]){
| ^
klasika.cpp: In function 'int main()':
klasika.cpp:178:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
178 | for(auto [i, ab] : q){
| ^
klasika.cpp:179:10: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
179 | auto [start, subtree] = ab;
| ^
klasika.cpp:187:12: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
187 | for(auto [_, val] : ans) cout << val << "\n";
| ^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
9 ms |
10116 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
9 ms |
10116 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
141 ms |
19644 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
9 ms |
10116 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
