Maximum XOR With an Element From Array
<p>You are given an array <code>nums</code> consisting of non-negative integers. You are also given a <code>queries</code> array, where <code>queries[i] = [x<sub>i</sub>, m<sub>i</sub>]</code>.</p>

<p>The answer to the <code>i<sup>th</sup></code> query is the maximum bitwise <code>XOR</code> value of <code>x<sub>i</sub></code> and any element of <code>nums</code> that does not exceed <code>m<sub>i</sub></code>. In other words, the answer is <code>max(nums[j] XOR x<sub>i</sub>)</code> for all <code>j</code> such that <code>nums[j] &lt;= m<sub>i</sub></code>. If all elements in <code>nums</code> are larger than <code>m<sub>i</sub></code>, then the answer is <code>-1</code>.</p>

<p>Return <em>an integer array </em><code>answer</code><em> where </em><code>answer.length == queries.length</code><em> and </em><code>answer[i]</code><em> is the answer to the </em><code>i<sup>th</sup></code><em> query.</em></p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> nums = [0,1,2,3,4], queries = [[3,1],[1,3],[5,6]]
<strong>Output:</strong> [3,3,7]
<strong>Explanation:</strong>
1) 0 and 1 are the only two integers not greater than 1. 0 XOR 3 = 3 and 1 XOR 3 = 2. The larger of the two is 3.
2) 1 XOR 2 = 3.
3) 5 XOR 2 = 7.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> nums = [5,2,4,6,6,3], queries = [[12,4],[8,1],[6,3]]
<strong>Output:</strong> [15,-1,5]
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= nums.length, queries.length &lt;= 10<sup>5</sup></code></li>
	<li><code>queries[i].length == 2</code></li>
	<li><code>0 &lt;= nums[j], x<sub>i</sub>, m<sub>i</sub> &lt;= 10<sup>9</sup></code></li>
</ul>
Bit Manipulation; Trie; Array
type Trie struct {
	children [2]*Trie
}

func NewTrie() *Trie {
	return &Trie{}
}

func (t *Trie) insert(x int) {
	node := t
	for i := 30; i >= 0; i-- {
		v := x >> i & 1
		if node.children[v] == nil {
			node.children[v] = NewTrie()
		}
		node = node.children[v]
	}
}

func (t *Trie) search(x int) int {
	node := t
	ans := 0
	for i := 30; i >= 0; i-- {
		v := x >> i & 1
		if node.children[v^1] != nil {
			ans |= 1 << i
			node = node.children[v^1]
		} else if node.children[v] != nil {
			node = node.children[v]
		} else {
			return -1
		}
	}
	return ans
}

func maximizeXor(nums []int, queries [][]int) []int {
	sort.Ints(nums)
	n := len(queries)
	idx := make([]int, n)
	for i := 0; i < n; i++ {
		idx[i] = i
	}
	sort.Slice(idx, func(i, j int) bool {
		return queries[idx[i]][1] < queries[idx[j]][1]
	})
	ans := make([]int, n)
	trie := NewTrie()
	j := 0
	for _, i := range idx {
		x, m := queries[i][0], queries[i][1]
		for j < len(nums) && nums[j] <= m {
			trie.insert(nums[j])
			j++
		}
		ans[i] = trie.search(x)
	}
	return ans
}