Build tree type list by recursively checking paren

问题:

I have One class that has a list of itself so it can be represented in a tree structure.

I am pulling a flat list of these classes and want to unflatten it.

public class Group
{
     public int ID {get;set;}

     public int? ParentID {get;set;}

     public List<Group> Children {get;set;}

}

I want to be able to do the following

List<Group> flatList = GetFlatList() //I CAN ALREADY DO THIS
List<Group> tree = BuildTree(flatList);

The ParentID related to the ID property on its parent group if that wasnt obvious.

EDIT

There is some confusion as to why I am returning a list and not a single object.

I am building a UI element that has a list of items, each of why has a child. So the initial list DOES NOT have a root node. It seems all of the solutions so far do not work.

What this means is I essentially need a list of tree type structures using Group class.

回答1:

I have no idea why you want your BuildTree method return List<Group> - tree needs to have root node, so you should expect it to return single Group element, not a list.

I would create an extension method on IEnumerable<Group>:

public static class GroupEnumerable
{
    public static IList<Group> BuildTree(this IEnumerable<Group> source)
    {
        var groups = source.GroupBy(i => i.ParentID);

        var roots = groups.FirstOrDefault(g => g.Key.HasValue == false).ToList();

        if (roots.Count > 0)
        {
            var dict = groups.Where(g => g.Key.HasValue).ToDictionary(g => g.Key.Value, g => g.ToList());
            for (int i = 0; i < roots.Count; i++)
                AddChildren(roots[i], dict);
        }

        return roots;
    }

    private static void AddChildren(Group node, IDictionary<int, List<Group>> source)
    {
        if (source.ContainsKey(node.ID))
        {
            node.Children = source[node.ID];
            for (int i = 0; i < node.Children.Count; i++)
                AddChildren(node.Children[i], source);
        }
        else
        {
            node.Children = new List<Group>();
        }
    }
}

Usage

var flatList = new List<Group>() {
    new Group() { ID = 1, ParentID = null },    // root node
    new Group() { ID = 2, ParentID = 1 },
    new Group() { ID = 3, ParentID = 1 },
    new Group() { ID = 4, ParentID = 3 },
    new Group() { ID = 5, ParentID = 4 },
    new Group() { ID = 6, ParentID = 4 }
};


var tree = flatList.BuildTree();

回答2:

Here's how you can do this in one line:

static void BuildTree(List<Group> items)
{
    items.ForEach(i => i.Children = items.Where(ch => ch.ParentID == i.ID).ToList());
}

You can just call it like this:

BuildTree(flatList);

If at the end you want to get the nodes whose parent is null (i.e. the top-level nodes), you can simply do this:

static List<Group> BuildTree(List<Group> items)
{
    items.ForEach(i => i.Children = items.Where(ch => ch.ParentID == i.ID).ToList());
    return items.Where(i => i.ParentID == null).ToList();
}

And if you want to make it an extension method, you can just add this in the method signature:

static List<Group> BuildTree(this List<Group> items)

Then you can call it like this:

var roots = flatList.BuildTree();

回答3:

I tried solutions suggested and figured out that they give us about O(n^2) complexity.

In my case (I have about 50k items to be built into tree) it was completely unacceptable.

I came to the following solution (assuming that each item has only one parent and all parents exist in the list) with complexity O(n*log(n)) [n times getById, getById has O(log(n)) complexity]:

static List<Item> BuildTreeAndReturnRootNodes(List<Item> flatItems)
{
    var byIdLookup = flatItems.ToLookup(i => i.Id);
    foreach (var item in flatItems)
    {
        if (item.ParentId != null)
        {
            var parent = byIdLookup[item.ParentId.Value].First();
            parent.Children.Add(item);
        }
    }
    return flatItems.Where(i => i.ParentId == null).ToList();
}

Full code snippet:

class Program
{
    static void Main(string[] args)
    {
        var flatItems = new List<Item>()
        {
            new Item(1),
            new Item(2),
            new Item(3, 1),
            new Item(4, 2),
            new Item(5, 4),
            new Item(6, 3),
            new Item(7, 5),
            new Item(8, 2),
            new Item(9, 3),
            new Item(10, 9),
        };
        var treeNodes = BuildTreeAndReturnRootNodes(flatItems);
        foreach (var n in treeNodes)
        {
            Console.WriteLine(n.Id + " number of children: " + n.Children.Count);
        }
    }
    // Here is the method
    static List<Item> BuildTreeAndReturnRootNodes(List<Item> flatItems)
    {
        var byIdLookup = flatItems.ToLookup(i => i.Id);
        foreach (var item in flatItems)
        {
            if (item.ParentId != null)
            {
                var parent = byIdLookup[item.ParentId.Value].First();
                parent.Children.Add(item);
            }
        }
        return flatItems.Where(i => i.ParentId == null).ToList();
    }
    class Item
    {
        public readonly int Id;
        public readonly int? ParentId;

        public Item(int id, int? parent = null)
        {
            Id = id;
            ParentId = parent;
        }
        public readonly List<Item> Children = new List<Item>();
    }
}