Tree traversal
You are encouraged to solve this task according to the task description, using any language you may know.
Implement a binary tree where each node carries an integer, and implement preoder, inorder, postorder and level-order traversal. Use those traversals to output the following tree:
1 / \ / \ / \ 2 3 / \ / 4 5 6 / / \ 7 8 9
The correct output should look like this:
preorder: 1 2 4 7 5 3 6 8 9 inorder: 7 4 2 5 1 8 6 9 3 postorder: 7 4 5 2 8 9 6 3 1 level-order: 1 2 3 4 5 6 7 8 9
C
<lang c>
- include <stdlib.h>
- include <stdio.h>
typedef struct node_s {
int value; struct node_s* left; struct node_s* right;
} *node;
node tree(int v, node l, node r) {
node n = malloc(sizeof(struct node_s)); n->value = v; n->left = l; n->right = r; return n;
}
void destroy_tree(node n) {
if (n->left) destroy_tree(n->left); if (n->right) destroy_tree(n->right); free(n);
}
void preorder(node n, void (*f)(int)) {
f(n->value); if (n->left) preorder(n->left, f); if (n->right) preorder(n->right, f);
}
void inorder(node n, void (*f)(int)) {
if (n->left) inorder(n->left, f); f(n->value); if (n->right) inorder(n->right, f);
}
void postorder(node n, void (*f)(int)) {
if (n->left) postorder(n->left, f); if (n->right) postorder(n->right, f); f(n->value);
}
/* helper queue for levelorder */ typedef struct qnode_s {
struct qnode_s* next; node value;
} *qnode;
typedef struct { qnode begin, end; } queue;
void enqueue(queue* q, node n) {
qnode node = malloc(sizeof(struct qnode_s)); node->value = n; node->next = 0; if (q->end) q->end->next = node; else q->begin = node; q->end = node;
}
node dequeue(queue* q) {
node tmp = q->begin->value; qnode second = q->begin->next; free(q->begin); q->begin = second; if (!q->begin) q->end = 0; return tmp;
}
int queue_empty(queue* q) {
return !q->begin;
}
void levelorder(node n, void(*f)(int)) {
queue nodequeue = {}; enqueue(&nodequeue, n); while (!queue_empty(&nodequeue)) { node next = dequeue(&nodequeue); f(next->value); if (next->left) enqueue(&nodequeue, next->left); if (next->right) enqueue(&nodequeue, next->right); }
}
void print(int n) {
printf("%d ", n);
}
int main() {
node n = tree(1, tree(2, tree(4, tree(7, 0, 0), 0), tree(5, 0, 0)), tree(3, tree(6, tree(8, 0, 0), tree(9, 0, 0)), 0));
printf("preorder: "); preorder(n, print); printf("\n");
printf("inorder: "); inorder(n, print); printf("\n");
printf("postorder: "); postorder(n, print); printf("\n");
printf("level-order: "); levelorder(n, print); printf("\n");
destroy_tree(n);
return 0;
} </lang>