How can I efficiently find the closest leaf in a Java Binary Search Tree?

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apiwowar
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Im having trouble with a method that finds the height of the closest leaf. What i have just counts all of the leafs. would i have to separate the recursive calls into two conditional statements to check each one independently? any help or suggestions would be appreciated

this is my method

Code:
//find the distance to the closest leaf 
public int closeLeaf() 
{ 
    int distance;
    return distance = closeLeaf(root);
}

private int closeLeaf(StringNode n)
{
    int dist = 0;

    if(n == null)
    {
        dist = 0;//empty tree
    }
    else if(n.getLeft()== null && n.getRight()== null)
    {
        dist++;
    }

    else
    {

        dist =closeLeaf(n.getLeft()) + closeLeaf(n.getRight());



    }
    return dist;

}
 
on Phys.org
A breadth first search would hit the nodes top down. You could check if its a leaf as you go top down. Stop it once detected. Never coded a breadth first to help much further than that.