Construct Binary Tree from Preorder and Inorder Traversal
https://www.geeksforgeeks.org/construct-tree-from-given-inorder-and-preorder-traversal/
Preorder: [1, 2, 4, 5, 3, 6]
Inorder: [4, 2, 5, 1, 6, 3]
1
/ \
2 3
/ \ /
4 5 6
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {
return buildTreeUtil(begin(preorder), end(preorder), begin(inorder), end(inorder));
}
template<typename T>
TreeNode* buildTreeUtil(T pre_first, T pre_last,
T in_first, T in_last) {
if (pre_first == pre_last) return nullptr;
if (in_first == in_last) return nullptr;
auto root = new TreeNode(*pre_first);
auto inRootPos = find(in_first, in_last, *pre_first);
auto leftSize = distance(in_first, inRootPos);
cout << leftSize << endl;
root->left = buildTreeUtil(next(pre_first), next(pre_first,
leftSize + 1), in_first, next(in_first, leftSize));
root->right = buildTreeUtil(next(pre_first, leftSize + 1), pre_last,
next(inRootPos), in_last);
return root;
};
};
class Solution {
public:
TreeNode* buildTree(vector<int>& preorder, vector<int>& inorder) {
vector<int>::iterator pbegin, pend, ibegin, iend;
pbegin = preorder.begin();
pend = preorder.end();
ibegin = inorder.begin();
iend = inorder.end();
return buildTreeUtil(pbegin, pend, ibegin, iend);
}
TreeNode* buildTreeUtil(vector<int>::iterator pre_first, vector<int>::iterator pre_last, vector<int>::iterator in_first, vector<int>::iterator in_last) {
if (pre_first == pre_last) return nullptr;
if (in_first == in_last) return nullptr;
auto root = new TreeNode(*pre_first);
auto inRootPos = find(in_first, in_last, *pre_first);
auto leftSize = distance(in_first, inRootPos);
cout << leftSize << endl;
root->left = buildTreeUtil(next(pre_first), next(pre_first,
leftSize + 1), in_first, next(in_first, leftSize));
root->right = buildTreeUtil(next(pre_first, leftSize + 1), pre_last,
next(inRootPos), in_last);
return root;
};
};
/* program to construct tree using inorder and preorder traversals */
#include<stdio.h>
#include<stdlib.h>
/* A binary tree node has data, pointer to left child
and a pointer to right child */
struct node
{
char data;
struct node* left;
struct node* right;
};
/* Prototypes for utility functions */
int search(char arr[], int strt, int end, char value);
struct node* newNode(char data);
/* Recursive function to construct binary of size len from
Inorder traversal in[] and Preorder traversal pre[]. Initial values
of inStrt and inEnd should be 0 and len -1. The function doesn't
do any error checking for cases where inorder and preorder
do not form a tree */
struct node* buildTree(char in[], char pre[], int inStrt, int inEnd)
{
static int preIndex = 0;
if(inStrt > inEnd)
return NULL;
/* Pick current node from Preorder traversal using preIndex
and increment preIndex */
struct node *tNode = newNode(pre[preIndex++]);
/* If this node has no children then return */
if(inStrt == inEnd)
return tNode;
/* Else find the index of this node in Inorder traversal */
int inIndex = search(in, inStrt, inEnd, tNode->data);
/* Using index in Inorder traversal, construct left and
right subtress */
tNode->left = buildTree(in, pre, inStrt, inIndex-1);
tNode->right = buildTree(in, pre, inIndex+1, inEnd);
return tNode;
}
/* UTILITY FUNCTIONS */
/* Function to find index of value in arr[start...end]
The function assumes that value is present in in[] */
int search(char arr[], int strt, int end, char value)
{
int i;
for(i = strt; i <= end; i++)
{
if(arr[i] == value)
return i;
}
}
/* Helper function that allocates a new node with the
given data and NULL left and right pointers. */
struct node* newNode(char data)
{
struct node* node = (struct node*)malloc(sizeof(struct node));
node->data = data;
node->left = NULL;
node->right = NULL;
return(node);
}
/* This funtcion is here just to test buildTree() */
void printInorder(struct node* node)
{
if (node == NULL)
return;
/* first recur on left child */
printInorder(node->left);
/* then print the data of node */
printf("%c ", node->data);
/* now recur on right child */
printInorder(node->right);
}
/* Driver program to test above functions */
int main()
{
char in[] = {'D', 'B', 'E', 'A', 'F', 'C'};
char pre[] = {'A', 'B', 'D', 'E', 'C', 'F'};
int len = sizeof(in)/sizeof(in[0]);
struct node *root = buildTree(in, pre, 0, len - 1);
/* Let us test the built tree by printing Insorder traversal */
printf("Inorder traversal of the constructed tree is \n");
printInorder(root);
getchar();
}