Java 打印由给定函数计算的每个级别上的特定节点

在一次采访中，我得到了一个功能：

f(n)= square(f(n-1)) - square(f(n-2)); for n>2
f(1) = 1;
f(2) = 2;
Here n is the level of an n-array tree. f(n)=1,2,3,5,16...

对于给定的每个级别n，我必须在每个级别打印fn节点。例如：

At level 1 print node number 1 (i.e. root) 
At level 2 print node number 2 (from left)
At level 3 print node number 3 (from left)
At level 4 print node number 5... and so on

如果任何级别n的节点编号nl小于fn，则必须从左侧打印节点编号nl%fn计数

我使用队列进行了一次基本的级别顺序遍历，但我被困在如何计算每个级别的节点数以及如何处理任意级别n的节点数小于fn的情况

建议继续解决问题剩余部分的方法。

添加了解决方案

我使用队列读取特定级别上的所有节点，在读取节点之前，检查给定的级别n是否等于当前级别，然后检查队列的大小是否大于fn，然后仅从队列中读取fn节点并将其标记为已删除，否则执行mod操作并删除节点nl%fn。

您需要执行级别顺序遍历

在下面的代码中，我假设有两种方法：

一个是getFnint-level，它接受一个int并返回fn值； 另一个是printnthin i，节点n接受一个int和节点，漂亮地打印出{n}是级别{i}所需的。 代码现在很容易实现。评论把它解释成一个故事

public void printNth throws IllegalArgumentException (Node root) {

    if (root == null) throw new IllegalArgumentException("Null root provided");

    //Beginning at level 1 - adding the root. Assumed that levels start from 1
    LinkedList<Node> parent = new LinkedList<>();
    parent.add(root)
    int level = 1;

    printNth(getFn(level), root);

    //Now beginning from the first set of parents, i.e. the root itself,
    //we dump all the children from left to right in another list.
    while (parent.size() > 0) { //Last level will have no children. Loop will break there.

        //Starting with a list to store the children
        LinkedList<Node> children = new LinkedList<>();

        //For each parent node add both children, left to right
        for (Node n: parent) {
            if (n.left != null) children.add(n.left);
            if (n.right != null) children.add(n.right);
        }

        //Now get the value of f(n) for this level
        level++;
        int f_n = getFn(level);

        //Now, if there are not sufficient elements in the list, print the list size
        //because children.size()%f(n) will be children.size() only!
        if (children.size() < f_n) System.out.println(children.size()); 
        else printNth(level, children.get(f_n - 1)); //f_n - 1 because index starts from 0

        //Finally, the children list of this level will serve as the new parent list 
        //for the level below.
        parent = children;
    }
}

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什么是n-数组树？@poorvankBhatia可以随时查询。