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二分探索木のバランスを取ろうとしていますが、うまくいかない理由はわかっていますが、修正方法がわかりません。インサート方式でダイレクトにバランスをとります。バランス調整が必要な場所にスラッシュを付けました。このようにコードが機能せず、次の例外が発生します。

Exception in thread "main" java.lang.NullPointerException
at Baueme.Treee.insert(Treee.java:54)
at Baueme.Treee.insert(Treee.java:18)
at Baueme.TestTheTree.main(TestTheTree.java:12)

バランスをとらずに挿入すると、何も問題ありません。

public class Node {

public Node left, right, parent;
public int value;

public Node (Node parent, int i) {
    this.parent = parent;
    this.value = i;
}

public int height() {
    int l = 0;
    int r = 0;

    if (this.left  != null) {
        l = this.left.height() +1;
    }

    if (this.right  != null) {
        r = this.right.height() +1;
    }

    return Math.max(l,r);
}   
}
public class Tree {
Node root;

public Tree() {
    root = null;
}

public void insert (int value) {

    if (root == null) {
        root = new Node(null, value);
    }
    else {
        insert(root, value);
    }
}

private void insert (Node parent, int value) {

    if (parent.value >= value) {

        if (parent.left == null) {
            parent.left = new Node (parent, value);
        }
        else {
            insert(parent.left, value);

       /////////////////////////    
            if ( parent.left.height() - parent.right.height() == 2) {

                if (value - parent.left.value < 0) {
                    parent = rotateWithLeftChild(parent);
                }
                else {
                    parent = doubleRotateWithRightChild(parent);
                }
            }           
      /////////////////////////
        }
    }

    else {

        if (parent.right == null) {
            parent.right = new Node (parent, value);
        }
        else {
            insert(parent.right, value);
      /////////////////////////
            if ( parent.left.height() - parent.right.height() == -2) {

                if (value - parent.right.value > 0) {
                    parent = rotateWithRightChild(parent);
                }
                else {
                    parent = doubleRotateWithLeftChild(parent);
                }
            }
     /////////////////////////
    }
     }
     }
    public int quantity() {

if (root == null) {
    return 0;
}
else {
    return 1 + quantity(root.left) + quantity(root.right);          
}
 }
public int quantity (Node parent) {

if (parent == null) {
    return 0;
}
else {
    return 1 + quantity(parent.left) + quantity(parent.right);
}
}
public int height () {

int l = 0;
int r = 0;

if ( root.left != null) {
    l = height(root.left) + 1;
}

if (root.right != null) {
    r = height(root.right) +1;
}

return (Math.max(l,r));
}
private int height (Node parent) {

int l = 0;
int r = 0;

if ( parent.left != null) {
    l = height(parent.left) + 1;
}

if (parent.right != null)   {
    r = height(parent.right) +1;
}

return (Math.max(l,r));
}
public String toString () {

    if (root == null) {
        return "empty tree";
    }
    else {
        return toString(root.left) + " ; " + root.value + " ; " +  toString(root.right);
    }
}


private String toString (Node parent) {

    if (parent == null) {
        return "";
    }
    else {
        return toString(parent.left) + " ; " + parent.value
        + " ; " + toString(parent.right);
    }
}
private String toString (Node parent) {

if (parent == null) {
    return "";
}
else {
    return toString(parent.left) + " ; " + parent.value
    + " ; " +     toString(parent.right);
  }
 }
private Node rotateWithLeftChild (Node k2) {
Node k1 = k2.left;
k2.left = k1.right;
k1.right = k2;

return k1;
}
private Node rotateWithRightChild (Node k1) {
Node k2 = k1.right;
k1.right = k2.left;
k2.left = k1;

return k2;
}
private Node doubleRotateWithRightChild (Node k3) {
k3.left = rotateWithRightChild(k3.left);

return rotateWithLeftChild(k3);
}
private Node doubleRotateWithLeftChild (Node k1) {
k1.right = rotateWithLeftChild(k1.right);
return rotateWithRightChild(k1);
}

}
public class TestTheTree {
public static void main(String[] args) {


    Treee temp = new Treee();

    temp.insert(10);
    temp.insert(20);
    temp.insert(30);


    System.out.println(temp.toString());


  }
  }
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