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POAdjust Range Search of BinaryTree to get the Outer Elements
 

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  1. POAdjust Range Search of BinaryTree to get the Outer Elements
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    <p>I have a RedBlack [Balanced, sorted] Binary Tree and I am searching it to find all the values within the range [lower, upper]. </p> <pre><code>public IEnumerable&lt;TData&gt; Range( BinaryTree&lt;TData&gt; root, IComparer&lt;TData&gt; comparer, TData lower, TData upper) { var stack = new Stack&lt;State&gt;(16); BinaryTree&lt;TData&gt; here = root; do { if (here == null) { if (stack.Count == 0) break; State popped = stack.Pop(); yield return popped.Data; here = popped.Next; continue; } if (comparer.Compare(here.Data, lower) &lt; 0) { here = here.Right; } else if (comparer.Compare(here.Data, upper) &gt; 0) { here = here.Left; } else { stack.Push(new State {Next = here.Right, Data = here.Data}); here = here.Left; } } while (true); } </code></pre> <p>So with this code, if I were to have a tree built with the values</p> <pre><code> [0, 1, 4, 5, 6, 9], </code></pre> <p>and search for all elements within the range </p> <pre><code> [3, 8] </code></pre> <p>I would get the following results: </p> <pre><code> [4, 5, 6]. </code></pre> <p>My question is how can I do about adjusting this algorithm in order to get the outer elements of the search? like this: </p> <pre><code> [1, 4, 5, 6, 9] </code></pre> <p>i.e. the value 3 lies between 1 and 4 in the tree, so I want to return 1, similarly the value 8 lies between 6 and 9 and I would want the value 9 to be includes in the result. </p> <p>One catch is I don't want to restart the search from root</p> <p>Currently implemented using NGenerics</p> <p>[Edit] </p> <p>Willing to accept a general algorithmic answer. </p>
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    1. USMeirion Hughes
    1. USMeirion Hughes
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    1. COIs it a balanced (sorted) tree? That makes a huge difference.
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      1. POAdjust Range Search of BinaryTree to get the Outer Elements
      1. USMatthew Watson
    2. COYes sorry, RedBlackTree
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      1. USMeirion Hughes
 

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