text: 3 people like it.
  
  # Layout binary tree
  
  Solution to the layout binary tree problem from 99 OCaml problems
  
  ## Type definition
  
   ```1: 2: 3: 4: 5: 6: 7: ``` ``````type 'a binary_tree = | Empty | Node of 'a * 'a binary_tree * 'a binary_tree let example_tree = Node('a', Node('b', Node('d', Empty, Empty), Node('e', Empty, Empty)), Node('c', Empty, Node('f', Node('g', Empty, Empty), Empty))) ``````
  
  ## Counting leaves
  
   ```1: 2: 3: 4: 5: ``` ``````let rec count_leaves tree = match tree with | Empty -> 0 | Node(_,Empty,Empty) -> 1 | Node(_,a,b) -> (count_leaves a) + (count_leaves b) ``````
  
  ## Generating layout
  
   ``` 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: ``` ``````type 'a pos_binary_tree = | E (* represents the empty tree *) | N of 'a * int * int * 'a pos_binary_tree * 'a pos_binary_tree (*N(w,x,y,l,r) represents a (non-empty) binary tree with root w "positioned" at (x,y), and subtrees l and r *) let make_pos_binary_tree (tree:binary_tree<_>) = let rec layout t x depth = match t with | Empty -> (x,E) | Node(a,l,r) -> let x',lTree = layout l x (depth+1) let x'',rTree = layout r (x'+1) (depth+1) (x'',N(a,x',depth,lTree,rTree)) let finalX,finalTree = layout tree 1 1 finalTree ``````
  
  ## Example and rendering
  
   ``` 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: 16: 17: 18: ``` ``````let laidOutTree = make_pos_binary_tree example_tree let canvas = Array2D.init 50 50 (fun _ _ -> ' ') let rec draw tree = match tree with | E -> () | N(v,x,y,l,r) -> canvas.[y,x] <- v draw l draw r draw laidOutTree for y in 0..49 do for x in 0..49 do stdout.Write(canvas.[y,x]) stdout.WriteLine() ``````
  union case binary_tree.Empty: 'a binary_tree
  union case binary_tree.Node: 'a * 'a binary_tree * 'a binary_tree -> 'a binary_tree
  type 'a binary_tree =
  | Empty
  | Node of 'a * 'a binary_tree * 'a binary_tree
  
  Full name: Script.binary_tree<_>
  val example_tree : char binary_tree
  
  Full name: Script.example_tree
  val count_leaves : tree:'a binary_tree -> int
  
  Full name: Script.count_leaves
  val tree : 'a binary_tree
  val a : 'a binary_tree
  val b : 'a binary_tree
  type 'a pos_binary_tree =
  | E
  | N of 'a * int * int * 'a pos_binary_tree * 'a pos_binary_tree
  
  Full name: Script.pos_binary_tree<_>
  union case pos_binary_tree.E: 'a pos_binary_tree
  union case pos_binary_tree.N: 'a * int * int * 'a pos_binary_tree * 'a pos_binary_tree -> 'a pos_binary_tree
  Multiple items
  val int : value:'T -> int (requires member op_Explicit)
  
  Full name: Microsoft.FSharp.Core.Operators.int
  
  --------------------
  type int = int32
  
  Full name: Microsoft.FSharp.Core.int
  
  --------------------
  type int<'Measure> = int
  
  Full name: Microsoft.FSharp.Core.int<_>
  val make_pos_binary_tree : tree:'a binary_tree -> 'a pos_binary_tree
  
  Full name: Script.make_pos_binary_tree
  val layout : ('b binary_tree -> int -> int -> int * 'b pos_binary_tree)
  val t : 'b binary_tree
  val x : int
  val depth : int
  val a : 'b
  val l : 'b binary_tree
  val r : 'b binary_tree
  val x' : int
  val lTree : 'b pos_binary_tree
  val x'' : int
  val rTree : 'b pos_binary_tree
  val finalX : int
  val finalTree : 'a pos_binary_tree
  val laidOutTree : char pos_binary_tree
  
  Full name: Script.laidOutTree
  val canvas : char [,]
  
  Full name: Script.canvas
  module Array2D
  
  from Microsoft.FSharp.Collections
  val init : length1:int -> length2:int -> initializer:(int -> int -> 'T) -> 'T [,]
  
  Full name: Microsoft.FSharp.Collections.Array2D.init
  val draw : tree:char pos_binary_tree -> unit
  
  Full name: Script.draw
  val tree : char pos_binary_tree
  val v : char
  val y : int
  val l : char pos_binary_tree
  val r : char pos_binary_tree
  val y : int32
  val x : int32
  val stdout<'T> : System.IO.TextWriter
  
  Full name: Microsoft.FSharp.Core.Operators.stdout
explanation: The provided text is a code snippet written in OCaml, which defines a binary tree and provides functions to count the leaves of the tree and to generate a layout for the tree. The snippet also includes an example of how to create a layout for a sample binary tree and render it to a canvas.
  
  The text does not contain any explicit math questions or answers.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: 3 people like it.
  
  # Layout binary tree
  
  Solution to the layout binary tree problem from 99 OCaml problems
  
  ## Type definition
  
   ```1: 2: 3: 4: 5: 6: 7: ``` ``````type 'a binary_tree = | Empty | Node of 'a * 'a binary_tree * 'a binary_tree let example_tree = Node('a', Node('b', Node('d', Empty, Empty), Node('e', Empty, Empty)), Node('c', Empty, Node('f', Node('g', Empty, Empty), Empty))) ``````
  
  ## Counting leaves
  
   ```1: 2: 3: 4: 5: ``` ``````let rec count_leaves tree = match tree with | Empty -> 0 | Node(_,Empty,Empty) -> 1 | Node(_,a,b) -> (count_leaves a) + (count_leaves b) ``````
  
  ## Generating layout
  
   ``` 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: ``` ``````type 'a pos_binary_tree = | E (* represents the empty tree *) | N of 'a * int * int * 'a pos_binary_tree * 'a pos_binary_tree (*N(w,x,y,l,r) represents a (non-empty) binary tree with root w "positioned" at (x,y), and subtrees l and r *) let make_pos_binary_tree (tree:binary_tree<_>) = let rec layout t x depth = match t with | Empty -> (x,E) | Node(a,l,r) -> let x',lTree = layout l x (depth+1) let x'',rTree = layout r (x'+1) (depth+1) (x'',N(a,x',depth,lTree,rTree)) let finalX,finalTree = layout tree 1 1 finalTree ``````
  
  ## Example and rendering
  
   ``` 1: 2: 3: 4: 5: 6: 7: 8: 9: 10: 11: 12: 13: 14: 15: 16: 17: 18: ``` ``````let laidOutTree = make_pos_binary_tree example_tree let canvas = Array2D.init 50 50 (fun _ _ -> ' ') let rec draw tree = match tree with | E -> () | N(v,x,y,l,r) -> canvas.[y,x] <- v draw l draw r draw laidOutTree for y in 0..49 do for x in 0..49 do stdout.Write(canvas.[y,x]) stdout.WriteLine() ``````
  union case binary_tree.Empty: 'a binary_tree
  union case binary_tree.Node: 'a * 'a binary_tree * 'a binary_tree -> 'a binary_tree
  type 'a binary_tree =
  | Empty
  | Node of 'a * 'a binary_tree * 'a binary_tree
  
  Full name: Script.binary_tree<_>
  val example_tree : char binary_tree
  
  Full name: Script.example_tree
  val count_leaves : tree:'a binary_tree -> int
  
  Full name: Script.count_leaves
  val tree : 'a binary_tree
  val a : 'a binary_tree
  val b : 'a binary_tree
  type 'a pos_binary_tree =
  | E
  | N of 'a * int * int * 'a pos_binary_tree * 'a pos_binary_tree
  
  Full name: Script.pos_binary_tree<_>
  union case pos_binary_tree.E: 'a pos_binary_tree
  union case pos_binary_tree.N: 'a * int * int * 'a pos_binary_tree * 'a pos_binary_tree -> 'a pos_binary_tree
  Multiple items
  val int : value:'T -> int (requires member op_Explicit)
  
  Full name: Microsoft.FSharp.Core.Operators.int
  
  --------------------
  type int = int32
  
  Full name: Microsoft.FSharp.Core.int
  
  --------------------
  type int<'Measure> = int
  
  Full name: Microsoft.FSharp.Core.int<_>
  val make_pos_binary_tree : tree:'a binary_tree -> 'a pos_binary_tree
  
  Full name: Script.make_pos_binary_tree
  val layout : ('b binary_tree -> int -> int -> int * 'b pos_binary_tree)
  val t : 'b binary_tree
  val x : int
  val depth : int
  val a : 'b
  val l : 'b binary_tree
  val r : 'b binary_tree
  val x' : int
  val lTree : 'b pos_binary_tree
  val x'' : int
  val rTree : 'b pos_binary_tree
  val finalX : int
  val finalTree : 'a pos_binary_tree
  val laidOutTree : char pos_binary_tree
  
  Full name: Script.laidOutTree
  val canvas : char [,]
  
  Full name: Script.canvas
  module Array2D
  
  from Microsoft.FSharp.Collections
  val init : length1:int -> length2:int -> initializer:(int -> int -> 'T) -> 'T [,]
  
  Full name: Microsoft.FSharp.Collections.Array2D.init
  val draw : tree:char pos_binary_tree -> unit
  
  Full name: Script.draw
  val tree : char pos_binary_tree
  val v : char
  val y : int
  val l : char pos_binary_tree
  val r : char pos_binary_tree
  val y : int32
  val x : int32
  val stdout<'T> : System.IO.TextWriter
  
  Full name: Microsoft.FSharp.Core.Operators.stdout
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The provided text is a code snippet written in OCaml, which defines a binary tree and provides functions to count the leaves of the tree and to generate a layout for the tree. The snippet also includes an example of how to create a layout for a sample binary tree and render it to a canvas.
  
  The text does not contain any explicit math questions or answers.
  
  Label: no-question