A cylindrical container with a 50-cm height and a 2.0-cm dia…

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A cylindricаl cоntаiner with а 50-cm height and a 2.0-cm diameter hоlds helium gas, which has density 0.1785 kg/m3. A pistоn on one side of the container moves inwards until the helium's density is 0.22 kg/m3. What is the new height of the cylinder?

Given the rооt оf а binаry seаrch tree and an integer k, return true if there exist two elements in theBST such that their sum is equal to k, or false otherwise. A tree node is defined as follows struct TreeNode {int val;TreeNode left;TreeNode right;TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}}; Example Test CasesInput: root = [5,3,6,2,4,null,7], k = 9 Output: true ContextWe use an unordered set seen to keep track of the values we’ve encountered. We can count the numberof occurrences of a value using seen.count(val) and we can insert new values using seen.insert(val).We have the findTarget function as follows bool findTarget(TreeNode* root, int k) {seen.clear(); // Clear the set before startingreturn findTarget(root, k);} which traverses the tree. Questions (2 pts)What should be the base case of the recursive findTarget function? (3 pts)We can check another condition (using seen.count()) that would return True if satisfied.Write the code for the condition in C++. (3 pts)Inside the recursive findTarget function, we insert the current node’s value in the set seenand make further recursive calls for the left subtree and right subtree. Write down the recursivecalls in C++. (3 pts)We can return True if either of the recursive calls returns True. Write the code for thisreturn value in C++. (2 pts)Should we follow postorder, preorder, or inorder traversal for this problem? Explain. (2 pts)What is the time and space complexity of this approach? Explain.

Yоu аre given the rооt of а full binаry tree with the following properties: Leaf nodes have either 0 or1, where 0 represents False and 1 represents True. Non-leaf nodes have either the value 2 or 3, where2 represents the boolean OR and 3 represents the boolean AND.The evaluation of a node is as follows: If the node is a leaf node, the evaluation is the node’s value,i.e. True or False. Otherwise, evaluate the node’s two children and apply the boolean operation of itsvalue with the children’s evaluations. Return the boolean result of evaluating the root node using arecursive function evaluateTree(). A tree node is defined as follows struct TreeNode {int val;TreeNode left;TreeNode right;TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}};Example Test CaseTreeNode* root = new TreeNode(2); // ORroot->left = new TreeNode(1); // Trueroot->right = new TreeNode(3); // ANDroot->right->left = new TreeNode(0); // Falseroot->right->right = new TreeNode(1);Bool result= evaluateTree(root)// returns True Questions (3 pts) Assume the recursive function evaluateTree(TreeNode* root) evaluates its left andright subtrees recursively before applying any boolean operation OR or AND according to the valueof the node. What should be the base case for such a recursive function? Write the code in C++.Hint: For the base case, we return the value of a leaf node. What can be the value of a leaf node? (3 pts) Which traversal resembles the fact that “we evaluate a node’s left and right subtreesrecursively before applying any boolean operation OR or AND according to the value of thenode”? Explain. (4 pts) How do we know whether to apply OR or AND according to the value of a node? Get theresult of evaluating subtrees recursively and applying the boolean operations in C++. (2 pts) Do you need to maintain a separate boolean variable for evaluating the tree? Explain. (3 pts)What is the time and space complexity for this approach? Justify your answer. Imagineyou have a total of n nodes and the tree’s height is h