Two Sum in BST in DSA C - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is the main goal of the Two Sum problem in a Binary Search Tree (BST)?

To find if there exist two nodes in the BST such that their values add up to a given target sum.

intermediate

Why is BST property useful in solving the Two Sum problem efficiently?

Because BST nodes are sorted in order, we can use two pointers or in-order traversal to find pairs without checking all combinations.

intermediate

What traversal methods can be combined to solve Two Sum in BST?

In-order traversal (left to right) and reverse in-order traversal (right to left) can be combined to simulate two pointers.

beginner

What data structure can be used to store visited node values to check for complement values in Two Sum in BST?

A hash set can be used to store visited node values and check if the complement (target - current node value) exists.

intermediate

What is the time complexity of the Two Sum in BST solution using hash set?

O(n), where n is the number of nodes, because each node is visited once and hash set operations are O(1) on average.

What does the Two Sum problem in a BST ask you to find?

A Two nodes whose values add up to a target sum

B The maximum value in the BST

C The height of the BST

D The minimum value in the BST

The problem is to find two nodes whose values add up to the given target sum.

Which traversal order gives nodes in ascending order in a BST?

A Pre-order

B Level-order

C In-order

D Post-order

In-order traversal visits nodes in ascending order in a BST.

What data structure helps check if a complement value exists quickly during traversal?

A Queue

B Hash set

C Stack

D Linked list

A hash set allows O(1) average time checks for complement values.

What is the main advantage of using two pointers in Two Sum in BST?

A It finds pairs without checking all combinations

B It sorts the BST

C It reduces space complexity

D It balances the BST

Two pointers help find pairs efficiently without checking every pair.

What is the worst-case time complexity of Two Sum in BST using hash set?

A O(n^2)

B O(log n)

C O(n log n)

D O(n)

Each node is visited once, so time complexity is O(n).

Explain how you can use in-order and reverse in-order traversal together to solve the Two Sum problem in a BST.

Think of two pointers moving from start and end of a sorted list.

Describe a method to find if two nodes in a BST sum to a target using extra space.

Use a set to remember what values you have seen.

Practice

1. What is the main goal of the Two Sum in BST problem?

easy

A. Check if the BST is balanced.

B. Find the maximum value in the BST.

C. Find two nodes in the BST whose values add up to a given target sum.

D. Count the total number of nodes in the BST.

Solution

1. Step 1: Understand the problem requirement

   The problem asks to find two nodes in the BST such that their values add up to a target sum.

2. Step 2: Identify the correct goal

   Among the options, only finding two nodes with values summing to the target matches the problem.

3. Final Answer:

   Find two nodes in the BST whose values add up to a given target sum. -> Option C

4. Quick Check:

   Two Sum in BST = Find two nodes summing to target [OK]

Hint: Look for pairs adding to target in BST [OK]

Common Mistakes:

• Confusing with finding max/min value
• Thinking it's about counting nodes
• Assuming it's about tree balance

2. Which of the following is the correct way to declare a function in C that checks for two sum in a BST?

struct TreeNode {
    int val;
    struct TreeNode *left;
    struct TreeNode *right;
};

easy

A. void findTwoSum(struct TreeNode root, int target);

B. int findTwoSum(struct TreeNode* root, int* target);

C. int findTwoSum(struct TreeNode root, int target);

D. int findTwoSum(struct TreeNode* root, int target);

Solution

1. Step 1: Check function parameter types

   The BST root should be passed as a pointer to struct TreeNode, and target as int.

2. Step 2: Verify return type and parameters

   int findTwoSum(struct TreeNode* root, int target); correctly declares return type int, pointer to root, and int target.

3. Final Answer:

   int findTwoSum(struct TreeNode* root, int target); -> Option D

4. Quick Check:

   Function signature with pointer root and int target = int findTwoSum(struct TreeNode* root, int target); [OK]

Hint: Use pointer for tree root in function parameters [OK]

Common Mistakes:

• Passing struct by value instead of pointer
• Using void return type when int is needed
• Passing target as pointer unnecessarily

3. What will be the output of the following code snippet?

// BST nodes: 5, 3, 6, 2, 4, 7
// Target sum = 9

int main() {
    // Assume createBST() creates the BST with given nodes
    struct TreeNode* root = createBST();
    int target = 9;
    int result = findTwoSum(root, target);
    printf("%d\n", result);
    return 0;
}

// findTwoSum returns 1 if pair found, else 0

medium

A. 1

B. 0

C. Compilation error

D. Runtime error

Solution

1. Step 1: Identify pairs in BST that sum to target

   Pairs like (2,7) and (3,6) sum to 9 in the BST.

2. Step 2: Check if findTwoSum returns 1 when pair exists

   Since pairs exist, function returns 1 and prints it.

3. Final Answer:

   1 -> Option A

4. Quick Check:

   Pair found = 1 [OK]

Hint: Check if any two nodes sum to target [OK]

Common Mistakes:

• Assuming no pairs exist
• Confusing return values
• Ignoring BST structure

4. Identify the bug in the following code snippet for Two Sum in BST:

int findTwoSum(struct TreeNode* root, int target) {
    if (!root) return 0;
    int complement = target - root->val;
    if (searchBST(root, complement)) {
        return 1;
    }
    return findTwoSum(root->left, target) || findTwoSum(root->right, target);
}

// searchBST searches for a value in BST

medium

A. It uses wrong target value in recursion.

B. It may count the same node twice as complement.

C. It does not check if root is NULL.

D. It misses checking the left subtree.

Solution

1. Step 1: Analyze complement calculation and search

   The code searches for complement in the whole tree including current node.

2. Step 2: Identify issue with counting same node twice

   If complement equals root->val, it may count the same node twice incorrectly.

3. Final Answer:

   It may count the same node twice as complement. -> Option B

4. Quick Check:

   Same node counted twice bug = It may count the same node twice as complement. [OK]

Hint: Avoid counting current node as complement [OK]

Common Mistakes:

• Not excluding current node in search
• Ignoring NULL checks
• Wrong recursion parameters

5. Given a BST with nodes [10, 5, 15, 3, 7, 18] and target sum 22, which pair of nodes will the Two Sum in BST algorithm find first if it uses in-order traversal and a hash set to track visited values?

hard

A. (7, 15)

B. (5, 17)

C. (3, 19)

D. (10, 12)

Solution

1. Step 1: Perform in-order traversal and track visited nodes

   In-order traversal visits nodes in order: 3, 5, 7, 10, 15, 18.

2. Step 2: Check pairs summing to 22 using hash set

   Process nodes in order: visit 3 (add 3), 5 (add 5), 7 (add 7), 10 (add 10), 15 (complement 7 is in set), so first pair found is (7,15).

3. Final Answer:

   (7, 15) -> Option A

4. Quick Check:

   In-order + hash set finds (7,15) first [OK]

Hint: Use in-order + hash set to find pairs fast [OK]

Common Mistakes:

• Assuming pairs with non-existent nodes
• Ignoring traversal order
• Mixing node values incorrectly