How to make Selecting a physical section using select with displaying the selected section, if the component is in the page template, like a standard menu?

Question

1C-Bitrix

Hello!
Tell me if there is such an opportunity to organize a menu, that is, navigation through physical partitions using select, with the condition that the selected partition is remembered after a reboot.
I did this from the menu, it works, but does not remember, I tried to play with SELECTED on the example of vertical multilevel, but nothing comes out due to the lack of such knowledge and practice. There, as far as I understand, SELECTED is assigned a css style, it stands out, but I didn’t think of it to be saved in the select, but this is most likely in the wrong direction.
I can’t make a cycle, albeit using examples, but I don’t understand something yet.
Why I chose the Menu for this - because you can organize different menus, and you get convenient navigation and it seems that the standard component has not suffered much. Here's how to remember the selected position, I can not understand, help.

Answer 1

to start, let's make an html example that will be in the menu template

<select id="cd-dropdown" class="cd-select" onchange="top.location=this.value">
        <option value="http://site.ru/papka/silka.html">Выбери меня</option>
        <option value="http://site.ru/papka/silka1.html">Выбери меня 1</option>
        <option value="http://site.ru/papka/silka2.html">Выбери меня 2</option>
      </select>

Here we organize the transition through the pages.
Next, we take the Bitrix API
, which will allow us to get the page on which we are, after that we check in the template
If $silka == "links from the menu (variable)" then insert the selected value into the option tag,
which will give us the selected element
logic, I painted everything for you, it remains only to assemble the menu component template

Answer 2

Here the usual menu component will do. You just need to copy the template into your namespace and replace the list with select there.