XML : dynamically push multidimensional array in php from xml

I want to create a multidimensional array based on an xml file. the file only includes menu,menu->link and menu->submenu,menu->submenu->link. I want an multidimensional array to be looked like this.

  array()    0=>menu1      0=>submenu1      1=>sublink1    1=>link1    2=>menu2      0=>submenu1      1=>sublink1    2=>submenu2      3=>sublink2  3=>link2    ....    ....      

the xml code is given here:

  <page>     <title>Examination Remuneration</title>        <menu title ="Home" link="http://">        <submenu title="About" link="#">        </submenu>      </menu>        <menu title ="Data Entry" link="http://">        <submenu title="Form 1" link="#">        </submenu>        <submenu title="Form 2" link="#">        </submenu>      </menu>    </page>      

what i have tried:

  <?php      $main = simplexml_load_file("MENUU.xml");      $allmenu = array();      foreach ($main->menu as $menu) {        array_push($allmenu,$menu["title"]);      foreach($menu->submenu as $submenu){             //dont know what to do here :(      }      array_push($allmenu,$menu["link"]);    }    var_dump($allmenu);  ?>      

The problem is I cannot find how to push multi dimension and another problem is I dont know how many submenu a menu can have. Any kind of help is appreciated and TIA.