`{"id":"7192f2ca-1d72-4fb8-aa96-d2c740685780","name":"Burning Tree ","description":"1. Given a binary tree and target. \r\n2. Find the minimum time required to burn the complete binary tree if the target is set on fire. \r\n3. It is known that in 1 second all nodes connected to a given node get burned. That is, its left child, right child and parent.\r\n","inputFormat":"Input is managed for you.","outputFormat":"Output is managed for you. ","constraints":"1. The number of nodes in the tree is in the range [1, 10000].\r\n2. -1000 &lt;= Node.val &lt;= 1000\r\n3. All the values Node.val are unique.\r\n4. target is the value of one of the nodes in the tree.\r\n","sampleCode":{"cpp":{"code":"#include <iostream>\r\n#include <vector>\r\n#include <queue>\r\nusing namespace std;\r\n\r\nclass TreeNode\r\n{\r\npublic:\r\n int val = 0;\r\n TreeNode* left = nullptr;\r\n TreeNode* right = nullptr;\r\n\r\n TreeNode(int val)\r\n {\r\n this->val = val;\r\n }\r\n};\r\n\r\nint burningTree(TreeNode* root, int fireNode)\r\n{\r\n}\r\n\r\n// input_section=================================================\r\n\r\nTreeNode* createTree(vector<int>& arr, vector<int>& IDX)\r\n{\r\n\r\n if (IDX > arr.size() || arr[IDX] == -1)\r\n {\r\n IDX++;\r\n return nullptr;\r\n }\r\n\r\n TreeNode* node = new TreeNode(arr[IDX++]);\r\n node->left = createTree(arr, IDX);\r\n node->right = createTree(arr, IDX);\r\n\r\n return node;\r\n}\r\n\r\nvoid solve()\r\n{\r\n int n;\r\n cin >> n;\r\n vector<int> arr(n, 0);\r\n for (int i = 0; i < n; i++)\r\n {\r\n cin >> arr[i];\r\n }\r\n\r\n vector<int> IDX(1, 0);\r\n TreeNode* root = createTree(arr, IDX);\r\n\r\n int fireNode;\r\n cin >> fireNode;\r\n int ans = burningTree(root, fireNode);\r\n cout << ans << endl;\r\n}\r\n\r\nint main()\r\n{\r\n solve();\r\n return 0;\r\n}"},"java":{"code":"import java.util.*;\r\n\r\npublic class Main {\r\n public static Scanner scn = new Scanner(System.in);\r\n\r\n public static class TreeNode {\r\n int val = 0;\r\n TreeNode left = null;\r\n TreeNode right = null;\r\n\r\n TreeNode(int val) {\r\n this.val = val;\r\n }\r\n }\r\n\r\n public static int burningTree(TreeNode root, int fireNode) {\r\n\r\n }\r\n\r\n // input_section=================================================\r\n\r\n public static TreeNode createTree(int[] arr, int[] IDX) {\r\n if (IDX > arr.length || arr[IDX] == -1) {\r\n IDX++;\r\n return null;\r\n }\r\n TreeNode Treenode = new TreeNode(arr[IDX++]);\r\n Treenode.left = createTree(arr, IDX);\r\n Treenode.right = createTree(arr, IDX);\r\n\r\n return Treenode;\r\n }\r\n\r\n public static void solve() {\r\n int n = scn.nextInt();\r\n int[] arr = new int[n];\r\n for (int i = 0; i < n; i++)\r\n arr[i] = scn.nextInt();\r\n\r\n int[] IDX = new int;\r\n TreeNode root = createTree(arr, IDX);\r\n int fireNode = scn.nextInt();\r\n\r\n int ans = burningTree(root, fireNode);\r\n System.out.println(ans);\r\n\r\n }\r\n\r\n public static void main(String[] args) {\r\n solve();\r\n }\r\n}"},"python":{"code":""}},"points":10,"difficulty":"medium","sampleInput":"15\r\n4\r\n2\r\n1\r\n-1\r\n-1\r\n3\r\n-1\r\n-1\r\n6\r\n5\r\n-1\r\n-1\r\n7\r\n-1\r\n-1\r\n2","sampleOutput":"3\r\n","questionVideo":"","hints":[],"associated":[],"solutionSeen":false,"tags":[],"meta":{"path":[{"id":0,"name":"home"},{"id":"0c54b191-7b99-4f2c-acb3-e7f2ec748b2a","name":"Data Structures and Algorithms","slug":"data-structures-and-algorithms","type":0},{"id":"2e9df04c-be14-441c-9a18-8b5a8ca6596d","name":"Trees For Intermediate","slug":"trees-for-intermediate-9994","type":0},{"id":"cd8cd1eb-9a9f-45d0-aa4d-4ab51f2b2025","name":"Burning Tree ","slug":"burning-tree","type":1}],"next":{"id":"467a9ce2-8324-47bb-8537-e867a409b2ed","name":"Burning Tree","type":3,"slug":"burning-tree"},"prev":{"id":"e696b9fb-ffef-4dde-8731-45e8891a7d34","name":"Maximum Width Of Binary Tree","type":0,"slug":"maximum-width-of-binary-tree"}}}`

# Burning Tree

1. Given a binary tree and target. 2. Find the minimum time required to burn the complete binary tree if the target is set on fire. 3. It is known that in 1 second all nodes connected to a given node get burned. That is, its left child, right child and parent.

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# Burning Tree

medium

1. Given a binary tree and target. 2. Find the minimum time required to burn the complete binary tree if the target is set on fire. 3. It is known that in 1 second all nodes connected to a given node get burned. That is, its left child, right child and parent.

## Constraints

1. The number of nodes in the tree is in the range [1, 10000]. 2. -1000 <= Node.val <= 1000 3. All the values Node.val are unique. 4. target is the value of one of the nodes in the tree.

## Format

### Input

Input is managed for you.

### Output

Output is managed for you.

## Example

Sample Input

```.css-23h8hz{color:inherit;font-size:0.875rem;line-height:1.125rem;letter-spacing:0.016rem;font-weight:var(--chakra-fontWeights-normal);white-space:pre-wrap;}15 4 2 1 -1 -1 3 -1 -1 6 5 -1 -1 7 -1 -1 2```

### Sample Output

```.css-3oaykw{color:var(--chakra-colors-active-primary);font-size:0.875rem;line-height:1.125rem;letter-spacing:0.016rem;font-weight:var(--chakra-fontWeights-normal);white-space:pre-wrap;font-family:Monospace;}3 ```

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