显示具有父子编号的分层多维数组

我有一个父子关系的多维数组。

我想把它显示为一个数值列表，以适当的顺序代表它们的父值。

Array
(
    [0] => Array
        (
            [name] => Category 1
            [id] => 6
            [children] => Array
                (
                    [0] => Array
                        (
                            [name] => Category 2
                            [id] => 7
                            [children] => Array
                                (
                                    [0] => Array
                                        (
                                            [name] => cricket1
                                            [id] => 19
                                            [children] => Array
                                                (
                                                    [0] => Array
                                                        (
                                                            [name] => cricket2
                                                            [id] => 21
                                                            [children] => 
                                                        )
                                                )
                                        )
                                )
                        )
                    [1] => Array
                        (
                            [name] => another category
                            [id] => 15
                            [children] => Array
                                (
                                    [0] => Array
                                        (
                                            [name] => new 1
                                            [id] => 18
                                            [children] => 
                                        )
                                )
                        )
                )
        )
    [1] => Array
        (
            [name] => Category 3
            [id] => 8
            [children] => Array
                (
                    [0] => Array
                        (
                            [name] => new category
                            [id] => 11
                            [children] => 
                        )
                )
        )
    [2] => Array
        (
            [name] => Sazzad
            [id] => 9
            [children] => Array
                (
                    [0] => Array
                        (
                            [name] => Mahmud
                            [id] => 10
                            [children] => 
                        )
                )
        )
)

我想显示这个数组如下所示:

<>之前1. 类别11.1第二类1.1.1 cricket11.1.1.1 cricket21.2另一类1.2.1 new 12. 3级2.1新类别3.Sazzad3.1马哈茂德之前如何使用PHP实现这个编号系统?

提前感谢。

function makeOneLevelArray($in, &$out, $prefixLevel = '') {
    $level = 1;
    foreach ($in as $v) {
        $out[] = $prefixLevel . $level . ' ' . $v['name'];
        if (!empty($v['children'])) {
            makeOneLevelArray($v['children'], $out, $prefixLevel . $level . '.');
        }
        $level++;
    }
}
$outputArray = array();
makeOneLevelArray($inputArray, $outputArray);
print_r($outputArray);