Added recursive&iterative preorder binary tree traversal (#3884)

Added recursive& iterative preorder binary tree traversal
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Albina Gimaletdinova 2023-02-17 14:34:44 +03:00 committed by GitHub
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package com.thealgorithms.datastructures.trees;
import java.util.ArrayList;
import java.util.Deque;
import java.util.LinkedList;
import java.util.List;
/**
* Given tree is traversed in a 'pre-order' way: ROOT -> LEFT -> RIGHT.
* Below are given the recursive and iterative implementations.
*
* Complexities:
* Recursive: O(n) - time, O(n) - space, where 'n' is the number of nodes in a tree.
*
* Iterative: O(n) - time, O(h) - space, where 'n' is the number of nodes in a tree
* and 'h' is the height of a binary tree.
* In the worst case 'h' can be O(n) if tree is completely unbalanced, for instance:
* 5
* \
* 6
* \
* 7
* \
* 8
*
* @author Albina Gimaletdinova on 17/02/2023
*/
public class PreOrderTraversal {
public static List<Integer> recursivePreOrder(BinaryTree.Node root) {
List<Integer> result = new ArrayList<>();
recursivePreOrder(root, result);
return result;
}
public static List<Integer> iterativePreOrder(BinaryTree.Node root) {
List<Integer> result = new ArrayList<>();
if (root == null) return result;
Deque<BinaryTree.Node> stack = new LinkedList<>();
stack.push(root);
while (!stack.isEmpty()) {
BinaryTree.Node node = stack.pop();
result.add(node.data);
if (node.right != null) stack.push(node.right);
if (node.left != null) stack.push(node.left);
}
return result;
}
private static void recursivePreOrder(BinaryTree.Node root, List<Integer> result) {
if (root == null) {
return;
}
result.add(root.data);
recursivePreOrder(root.left, result);
recursivePreOrder(root.right, result);
}
}

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package com.thealgorithms.datastructures.trees;
import org.junit.jupiter.api.Test;
import java.util.Collections;
import java.util.List;
import static org.junit.jupiter.api.Assertions.assertEquals;
/**
* @author Albina Gimaletdinova on 17/02/2023
*/
public class PreOrderTraversalTest {
@Test
public void testNullRoot() {
assertEquals(Collections.emptyList(), PreOrderTraversal.recursivePreOrder(null));
assertEquals(Collections.emptyList(), PreOrderTraversal.iterativePreOrder(null));
}
/*
1
/ \
2 3
/\ /\
4 5 6 7
*/
@Test
public void testRecursivePreOrder() {
final BinaryTree.Node root = TreeTestUtils.createTree(new Integer[]{1, 2, 3, 4, 5, 6, 7});
assertEquals(List.of(1, 2, 4, 5, 3, 6, 7), PreOrderTraversal.recursivePreOrder(root));
assertEquals(List.of(1, 2, 4, 5, 3, 6, 7), PreOrderTraversal.iterativePreOrder(root));
}
/*
5
\
6
\
7
\
8
*/
@Test
public void testRecursivePreOrderNonBalanced() {
final BinaryTree.Node root = TreeTestUtils.createTree(new Integer[]{5, null, 6, null, 7, null, 8});
assertEquals(List.of(5, 6, 7, 8), PreOrderTraversal.recursivePreOrder(root));
assertEquals(List.of(5, 6, 7, 8), PreOrderTraversal.iterativePreOrder(root));
}
}