XOR array 421. The maximum value of the two numbers
Given a non-empty array, the array elements a0, a1, a2, ..., an-1, where 0 ≤ ai <231.
Finding the maximum exclusive OR (XOR) operation results ai and aj, where 0 ≤ i, j <n.
You can solve this problem in O (n) time?
Example:
Input: [3, 10, 5, 25, 2, 8]
Output: 28
Explanation: The biggest result is ^ 25 = 28. The 5
PS:
prefix tree
class Solution {
class TrieNode {
TrieNode zero;
TrieNode one;
int val;
TrieNode() {
}
}
class Trie {
TrieNode root;
Trie() {
root = new TrieNode();
}
void insert(int num) {
TrieNode node = root;
for (int i = 31; i >= 0; i--) {
int bit = num & (1 << i);
if (bit == 0) {
if (node.zero == null) {
node.zero = new TrieNode();
}
node = node.zero;
} else {
if (node.one == null) {
node.one = new TrieNode();
}
node = node.one;
}
}
node.val = num;
}
int find(int num) {
TrieNode node = root;
for (int i = 31; i >= 0; i--) {
int bit = num & (1 << i);
if (bit == 0) {
node = node.one == null ? node.zero : node.one;
} else {
node = node.zero == null ? node.one : node.zero;
}
}
return node.val;
}
}
// 数组中两个数的最大异或值
public int findMaximumXOR(int[] nums) {
Trie trie = new Trie();
for (int num : nums) {
trie.insert(num);
}
int res = 0;
for (int num : nums) {
int other = trie.find(num);
res = Math.max(res, num ^ other);
}
return res;
}
}