Hierarchical Custom Post Type not Show Page Template list in Page Attributes

I create a custom hierarchical post type.

here is custom post type code:

// Register Custom Post Type
function landing_page() {

    $labels = array(
        'name'                => _x( 'Pages', 'Post Type General Name', 'download_saga' ),
        'singular_name'       => _x( 'Landing Page', 'Post Type Singular Name', 'download_saga' ),
        'menu_name'           => __( 'Landing Page', 'download_saga' ),
        'parent_item_colon'   => __( 'Parent Page:', 'download_saga' ),
        'all_items'           => __( 'All Pages', 'download_saga' ),
        'view_item'           => __( 'View Page', 'download_saga' ),
        'add_new_item'        => __( 'Add New Pages', 'download_saga' ),
        'add_new'             => __( 'New Landing Page', 'download_saga' ),
        'edit_item'           => __( 'Edit Page', 'download_saga' ),
        'update_item'         => __( 'Update Page', 'download_saga' ),
        'search_items'        => __( 'Search pages', 'download_saga' ),
        'not_found'           => __( 'No pages found', 'download_saga' ),
        'not_found_in_trash'  => __( 'No pages found in Trash', 'download_saga' ),
    );
    $rewrite = array(
        'slug'                => 'landingpage',
        'with_front'          => true,
        'pages'               => true,
        'feeds'               => true,
    );
    $args = array(
        'label'               => __( 'landingpage', 'download_saga' ),
        'description'         => __( 'Create Landing Page for Different Browser', 'download_saga' ),
        'labels'              => $labels,
        'supports'            => array( 'title', 'editor', 'page-attributes' ),
        'hierarchical'        => true,
        'public'              => true,
        'show_ui'             => true,
        'show_in_menu'        => true,
        'show_in_nav_menus'   => true,
        'show_in_admin_bar'   => true,
        'menu_position'       => 20,
        'menu_icon'           => 'http://www.downloadsaga.com/wp-content/themes/ProjectR/images/lpage.png',
        'can_export'          => true,
        'has_archive'         => false,
        'exclude_from_search' => true,
        'publicly_queryable'  => true,
        'query_var'           => 'landingpage',
        'rewrite'             => $rewrite,
        'capability_type'     => 'page',
    );
    register_post_type( 'landingpage', $args );

}

// Hook into the 'init' action
add_action( 'init', 'landing_page', 0 );

Here is show page attributes widget when I go editor page but its not show page template lists. So, I can’t select a page template for custom post page. I already create 3 page template and its works great with wordpress default page function.

Any idea what is the problem and how I solve it?

I tried it find wordpress codex, wordpress support pages, stackoverflow, ask.com .. but no where I got my correct answare 🙁

Help me please.

Here is screenshot of page current view