challenge.html

<p>
    Implement a GPU program that computes the dot product of two vectors containing 32-bit floating point numbers.
    The dot product is the sum of the products of the corresponding elements of two vectors.
</p>
<p>
    Mathematically, the dot product of two vectors \(A\) and \(B\) of length \(n\) is defined as:
    \[
    A \cdot B = \sum_{i=0}^{n-1} A_i \cdot B_i = A_0 \cdot B_0 + A_1 \cdot B_1 + \ldots + A_{n-1} \cdot B_{n-1}
    \]
</p>
<h2>Implementation Requirements</h2>
<ul>
    <li>Use only GPU native features (external libraries are not permitted)</li>
    <li>The <code>solve</code> function signature must remain unchanged</li>
    <li>The final result must be stored in the output variable</li>
</ul>
<h2>Example 1:</h2>
<pre>Input:  A = [1.0, 2.0, 3.0, 4.0]
               B = [5.0, 6.0, 7.0, 8.0]
       Output: result = 70.0  (1.0*5.0 + 2.0*6.0 + 3.0*7.0 + 4.0*8.0)</pre>
<h2>Example 2:</h2>
<pre>Input:  A = [0.5, 1.5, 2.5]
               B = [2.0, 3.0, 4.0]
       Output: result = 15.5  (0.5*2.0 + 1.5*3.0 + 2.5*4.0)</pre>
<h2>Constraints</h2>
<ul>
    <li><code>A</code> and <code>B</code> have identical lengths</li>
    <li>1 ≤ <code>N</code> ≤ 100,000,000</li>

  <li>Performance is measured with <code>N</code> = 4194304</li>
</ul>