Trees
Preorder Traversal
Visit the root before each subtree, producing root-left-right order.
Algorithm
The canonical tree is 4(2(1,3),6(5,7)), so this Go DSA
implementation can be compared directly with the rest of the DSA track.
Basic Implementation
basic.go
package main
import (
"fmt"
"strings"
)
type Node struct { value int; left *Node; right *Node }
func render(node *Node) string {
if node == nil { return "_" }
if node.left == nil && node.right == nil { return fmt.Sprintf("%d", node.value) }
return fmt.Sprintf("%d(%s,%s)", node.value, render(node.left), render(node.right))
}
func sampleTree() *Node {
return &Node{4, &Node{2, &Node{1, nil, nil}, &Node{3, nil, nil}}, &Node{6, &Node{5, nil, nil}, &Node{7, nil, nil}}}
}
func listString(values []int) string {
parts := []string{}
for _, value := range values { parts = append(parts, fmt.Sprintf("%d", value)) }
return "[" + strings.Join(parts, ", ") + "]"
}
func preorder(node *Node, output *[]int) { if node == nil { return }; *output = append(*output, node.value); preorder(node.left, output); preorder(node.right, output) }
func main() { output := []int{}; preorder(sampleTree(), &output); fmt.Println(listString(output)) }
Complexity
- Time: O(n)
- Space: O(h) recursion stack
Implementation notes
- Go uses
type Node struct { value int; left *Node; right *Node }, and preorder receives*Nodepointers from the fixedsampleTree. preorder(node *Node, output *[]int)usesif node == nil { return }as the base case before readingnode.value.- The visit step mutates the caller's output slice through the pointer:
*output = append(*output, node.value). This matters becauseappendcan return a new slice header if the backing array grows. - The recursive call order is current node,
preorder(node.left, output), thenpreorder(node.right, output), so stack frames carry the current node pointer and the shared output-slice pointer. - The trace records the visit sequence and output states:
[4],[4, 2],[4, 2, 1],[4, 2, 1, 3],[4, 2, 1, 3, 6],[4, 2, 1, 3, 6, 5], and[4, 2, 1, 3, 6, 5, 7]. listStringformats the collectedintvalues withfmt.Sprintfandstrings.Join;fmt.Println(listString(output))prints[4, 2, 1, 3, 6, 5, 7].
preorder
Preorder records the current node before visiting left and right subtrees.