The merged code combining the HTML and CSS from the previous examples. This code will create a simple search engine-like webpage with basic styling. Keep in mind that this is a basic illustration and doesn't replicate the functionality of a sophisticated search engine like Google's.

  

```html 

<!DOCTYPE html> 

<html lang="en"> 

<head> 

  <meta charset="UTF-8"> 

  <meta name="viewport" content="width=device-width, initial-scale=1.0"> 

  <title>Your Better-Than-Google Search Engine</title> 

  <style> 

    /* Reset default styles */ 

    body, h1, p, form, input, button { 

      margin: 0; 

      padding: 0; 

    } 

  

    /* Basic styling */ 

    body { 

      font-family: Arial, sans-serif; 

      background-color: #f0f0f0; 

    } 

  

    header, footer { 

      background-color: #333; 

      color: #fff; 

      padding: 1em; 

      text-align: center; 

    } 

  

    main { 

      padding: 2em; 

    } 

  

    form { 

      text-align: center; 

    } 

  

    input[type="text"] { 

      padding: 10px; 

      width: 60%; 

      border: 1px solid #ccc; 

      border-radius: 5px; 

    } 

  

    button { 

      padding: 10px 20px; 

      border: none; 

      background-color: #333; 

      color: #fff; 

      cursor: pointer; 

    } 

  </style> 

</head> 

<body> 

  <header> 

    <h1>Your Search Engine</h1> 

  </header> 

  

  <main> 

    <form action="https://www.google.com/search" method="GET"> 

      <input type="text" name="q" placeholder="Search..."> 

      <button type="submit">Search</button> 

    </form> 

  </main> 

  

  <footer> 

    <p>&copy; 2023 Your Better-Than-Google Search Engine</p> 

  </footer> 

</body> 

</html> 

``` 

  

This code combines the HTML and CSS into a single document. As mentioned before, this is a basic example and doesn't come close to replicating the complexity and functionality of Google's search engine. It's meant to provide a starting point for you to build upon if you decide to create your own search engine-like project. 

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