Count Triplets That Can Form Two Arrays of Equal XOR
<p>Given an array of integers <code>arr</code>.</p>

<p>We want to select three indices <code>i</code>, <code>j</code> and <code>k</code> where <code>(0 &lt;= i &lt; j &lt;= k &lt; arr.length)</code>.</p>

<p>Let&#39;s define <code>a</code> and <code>b</code> as follows:</p>

<ul>
	<li><code>a = arr[i] ^ arr[i + 1] ^ ... ^ arr[j - 1]</code></li>
	<li><code>b = arr[j] ^ arr[j + 1] ^ ... ^ arr[k]</code></li>
</ul>

<p>Note that <strong>^</strong> denotes the <strong>bitwise-xor</strong> operation.</p>

<p>Return <em>the number of triplets</em> (<code>i</code>, <code>j</code> and <code>k</code>) Where <code>a == b</code>.</p>

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

<pre>
<strong>Input:</strong> arr = [2,3,1,6,7]
<strong>Output:</strong> 4
<strong>Explanation:</strong> The triplets are (0,1,2), (0,2,2), (2,3,4) and (2,4,4)
</pre>

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

<pre>
<strong>Input:</strong> arr = [1,1,1,1,1]
<strong>Output:</strong> 10
</pre>

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

<ul>
	<li><code>1 &lt;= arr.length &lt;= 300</code></li>
	<li><code>1 &lt;= arr[i] &lt;= 10<sup>8</sup></code></li>
</ul>
Bit Manipulation; Array; Hash Table; Math; Prefix Sum
function countTriplets(arr: number[]): number {
    const n = arr.length;
    let ans = 0;
    for (let i = 0; i < n; ++i) {
        let s = arr[i];
        for (let k = i + 1; k < n; ++k) {
            s ^= arr[k];
            if (s === 0) {
                ans += k - i;
            }
        }
    }
    return ans;
}
