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Maximum XOR With an Element From Array.cpp
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struct Trie {
Trie *z;
Trie *o;
Trie() {
z = NULL;
o = NULL;
}
};
class Solution {
public:
Trie* insert(Trie* node, int k, int num) {
if(node == NULL) {
node = new Trie();
}
if(k < 0) return node;
if(((num >> k) & 1) == 1) {
node -> o = insert(node->o, k - 1, num);
}
else {
node -> z = insert(node->z, k - 1, num);
}
return node;
}
int getmax(Trie* node, int k, int num) {
if(k < 0) return 0;
int res = 0;
bool bit = ((num >> k) & 1);
if(bit == 1) {
if(node->z) {
res = pow(2, k) + getmax(node->z, k - 1, num);
}
else {
res = getmax(node->o, k - 1, num);
}
}
else {
if(node->o) {
res = pow(2, k) + getmax(node->o, k - 1, num);
}
else {
res = getmax(node->z, k - 1, num);
}
}
return res;
}
vector<int> maximizeXor(vector<int>& nums, vector<vector<int>>& queries) {
int n = nums.size();
int m = queries.size();
vector<int> ans(m, -1);
vector<pair<pair<int, int>, int> > q;
for(int i = 0; i < m; i++) {
q.push_back({{queries[i][0], queries[i][1]}, i});
}
sort(q.begin(), q.end(), [](pair<pair<int, int>, int> a, pair<pair<int, int>, int> b) {
return a.first.second < b.first.second;
});
sort(nums.begin(), nums.end());
int j = 0;
Trie *root = new Trie();
for(int i = 0; i < m; i++) {
pair<pair<int, int>, int> p = q[i];
int num = p.first.first;
int lim = p.first.second;
int idx = p.second;
while(j < n && nums[j] <= lim) {
root = insert(root, 31, nums[j]);
j++;
}
if(j > 0) {
ans[idx] = getmax(root, 31, num);
}
}
return ans;
}
};