WordPress - display first (sticky or not) post and then the rest of all posts (sticky or not).

display-one-sticky.php

        if ( is_home() && !is_paged() ) :
          $args = array (
            // display the first sticky post, if none return the last post published
            'posts_per_page'      => 1,
            'post__in'            => get_option( 'sticky_posts' ),
            'ignore_sticky_posts' => 1,
          );
          $query = new WP_Query( $args );

          while ($query->have_posts()) : $query->the_post();
            $do_not_duplicate = $post->ID;
            echo '<br />';
            echo the_title();
            echo '<br />';
          endwhile;

          wp_reset_query();

          echo '<br />';
          echo '<br />';

          $args = array (
              // display the rest of the posts, except for the post shown above (sticky or first)
              'posts_per_page' => 9,
              'ignore_sticky_posts' => 1,
              'post__not_in' => array($do_not_duplicate)
          );
          $query = new WP_Query( $args );

          if( $query->have_posts() ) :
            while ($query->have_posts()) : $query->the_post();
              if( $post->ID == $do_not_duplicate ) continue;
              echo the_title();
              echo '<br />';
            endwhile;
          endif;
        endif;