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Programming101
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Leetcode Construct Binary Tree from Inorder and Postorder Traversal problem solution

YASH PAL, 31 July 2024

In this Leetcode Construct Binary Tree from Inorder and Postorder Traversal problem solution we have Given two integer arrays in order and postorder where inorder is the inorder traversal of a binary tree and postorder is the postorder traversal of the same tree, construct and return the binary tree.

Leetcode Construct Binary Tree from Inorder and Postorder Traversal problem solution

Problem solution in Python.

class Solution:
    def buildTree(self, inorder: List[int], postorder: List[int]) -> TreeNode:
        in_map = {}
        
        for i in range(len(inorder)):
            in_map[inorder[i]] = i
        
        def func(inorder, postorder, start, end, in_map):
            if start >= end:
                if inorder == [] or start > end:
                    return None
                
                if self.pindex >=0:
                    node = postorder[self.pindex]
                    self.pindex -= 1
                    
                return TreeNode(inorder[start])
            else:
                if self.pindex >=0:
                    node = postorder[self.pindex]
                    self.pindex -= 1            
            
            root = TreeNode(node)
            idx = in_map[node]

            root.right = func(inorder,  postorder, idx + 1, end, in_map)
            root.left = func(inorder, postorder,start, idx - 1, in_map)
            
            return root
        
        self.pindex = len(postorder) - 1
        return func(inorder, postorder, 0, len(inorder) - 1, in_map)

Problem solution in Java.

class Solution {
    public TreeNode buildTree(int[] inorder, int[] postorder) {
        return helper(inorder,0,inorder.length-1,postorder,0,postorder.length-1);
    }
    public TreeNode helper(int []inorder,int si,int ei,int[] postorder,int ps,int pe){
        if(si>ei)
            return null;
        TreeNode root=new TreeNode(postorder[pe]);
        int idx=si;
        while(idx<inorder.length && inorder[idx]!=postorder[pe])
            idx++;
        int count=idx-si;
        root.left=helper(inorder,si,idx-1,postorder,ps,ps+count-1);
        root.right=helper(inorder,idx+1,ei,postorder,ps+count,pe-1);
        return root;
        
    }
}

Problem solution in C++.

class Solution {
public:
    TreeNode* buildTree(vector<int>& in, vector<int>& post) {
        unordered_map<int, int> pos;
        int n = post.size();
        for (int i = 0; i < n; i++) {
            pos[in[i]] = i;
        }
        TreeNode* root = NULL;
        for (int i = n - 1; i >= 0; i--) {
            int num = post[i], p = pos[num];
            //cout << num << ":" << p << endl;
            TreeNode* tr = new TreeNode(num);
            if (i == n - 1) {
                root = tr;
                continue;
            }
            TreeNode* node = root, *prev = NULL;
            while (node) {
                prev = node;
                if (pos[node->val] > p) node = node->left;
                else  node = node->right;
            }
            node = tr;
            if (pos[prev->val] > p) prev->left = tr;
            else    prev->right = tr;
        }
        return root;
    }
};

Problem solution in C.

struct TreeNode* buildTree(int* inorder, int inlen, int* postorder, int postlen){
    if(inlen == 0) return NULL;
    struct TreeNode* curr = malloc(sizeof(struct TreeNode));
    curr->val = postorder[postlen-1];

    int mid = 0;
    while(inorder[mid]!=curr->val) ++mid;
	
    curr->left = buildTree(&inorder[0], mid, &postorder[0], mid);
    curr->right = buildTree(&inorder[mid+1], inlen-mid-1, &postorder[mid], inlen-mid-1);
    return curr;
}

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