[Geeks for Geeks] Maximum XOR subarray

Maximum XOR subarray

Given an array arr[] of size, N. Find the subarray with maximum XOR. A subarray is a contiguous part of the array.

  • Time : O(n)
  • Space : O(n)
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struct Trie {
Trie* next[2];
bool eof = false;
Trie() {
memset(next, 0, sizeof next);
}

void insert(int n, int mask = 17) {
if(mask == -1) eof = true;
else {
bool bit = n & (1<<mask);
if(!next[bit]) next[bit] = new Trie();
next[bit]->insert(n, mask - 1);
}
}

int query(int n, int mask = 17) {
if(mask == -1) return 0;
bool bit = n & (1<<mask);
if(next[!bit]) return (1<<mask) + next[!bit]->query(n, mask - 1);
if(next[bit]) return next[bit]->query(n, mask - 1);
return n & ((1<<(mask + 1)) - 1);
}
};
class Solution{
public:
int maxSubarrayXOR(int N, int arr[]){
Trie* t = new Trie();
int res = 0, XOR = 0;
t->insert(0);
for(int i = 0; i < N; i++) {
XOR ^= arr[i];
res = max(res, t->query(XOR));
t->insert(XOR);
}
return res;
}
};
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/05/21/PS/GeeksforGeeks/maximum-xor-subarray/
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