Submission #492913

#TimeUsernameProblemLanguageResultExecution timeMemory
492913MalheirosKlasika (COCI20_klasika)C++17
0 / 110
343 ms129908 KiB
#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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