System Engineer Specialist

Given a rod of length ‘N’ units. The rod can be cut into different sizes and each size has a cost associated with it. Determine the maximum cost obtained by cutting the rod and selling its pieces.

Note:

1. The sizes will range from 1 to ‘N’ and will be integers.

2. The sum of the pieces cut should be equal to ‘N’.

3. Consider 1-based indexing.

You are given an integer ‘K’, and two numbers ‘A’ and ‘B’. You need to count the occurrences of the given digit ‘K’, in the range [A, B].

Note:

 You need to count occurrences at every place of the number. You also need to include the lower and higher limits of the given range

For example :

Given K = 3, A = 1, B = 15, then 3 occurs 2 times(3, 13) in the range [1, 15], so you need to print 2.

You have been given an array/list 'arr' consisting of 'n' elements.

Each element in the array is either 0, 1 or 2.

Sort this array/list in increasing order.

Do not make a new array/list. Make changes in the given array/list.

Example :

Input: 'arr' = [2, 2, 2, 2, 0, 0, 1, 0]

Output: Final 'arr' = [0, 0, 0, 1, 2, 2, 2, 2]

Explanation: The array is sorted in increasing order.

Ninja is a genius in mathematics. He got an interview call from MIT. During the interview, the professor asked Ninja a challenging question.

Given two integers 'N1' and 'N2', the professor asked Ninja to find the fraction when the first number i.e 'N1' is divided by the second number i.e 'N2'. If the fractional part is repeating, then the repeating part should be enclosed in parentheses.

For example, if 'N1' is 1 and 'N2' is 3 and when we divide 1 by 3 i.e 1/3, the answer is 0.333... Here 3 is repeated infinite times because the remainder never becomes zero in this problem. As we know the fractional part ( i.e 3 ) is repeating, so we have to enclose the repeating part in parentheses. Therefore, the answer is “0.(3)”.

Ninja is stuck in this problem. Can you help Ninja to crack this interview and get admission in MIT?

Given an undirected graph of V vertices and E edges. Your task is to find all the bridges in the given undirected graph. A bridge in any graph is defined as an edge which, when removed, makes the graph disconnected (or more precisely, increases the number of connected components in the graph).

For Example :

If the given graph is :

Then the edge between 0 and 4 is the bridge because if the edge between 0 and 4 is removed, then there will be no path left to reach from 0 to 4.and makes the graph disconnected, and increases the number of connected components.

Note :

There are no self-loops(an edge connecting the vertex to itself) in the given graph.

There are no parallel edges i.e no two vertices are directly connected by more than 1 edge.

You are given string S of length N, and an integer K. Your task is to find the length of the longest substring that contains at most K distinct characters.

Is your project based on 2-tier architecture or 3-tier?

• Explain the difference between Encapsulation and Abstraction with a real-life example
• What do you mean by Polymorphism? What are its different types?
• What is method overriding and method overloading? Given an example of each by writing code
• What is data encapsulation and data abstraction.? Given an example of each by writing code
• What are data structures? Explain it's different kinds

You are given a linked list of 'N' nodes where nodes can contain values 0, 1, and 2 only. Your task is to sort the linked list.

Bubble Sort is one of the sorting algorithms that works by repeatedly swapping the adjacent elements of the array if they are not in sorted order.

You are given an unsorted array consisting of N non-negative integers. Your task is to sort the array in non-decreasing order using the Bubble Sort algorithm.

For Example:

Bubble Sort implementation for the given array:  {6,2,8,4,10} is shown below :-

You are given an integer ‘N’, your task is to return the number of structurally unique BST's (binary search trees) which have exactly 'N' nodes of unique values from 1 to 'N'.

For example:

Given  ‘N’ = 2, The total number of BST’s is 2.

Note:

1. A binary search tree is a rooted binary tree whose internal nodes each store a key greater than all the keys in the node's left subtree and less than those in its right subtree.

2. A structurally unique binary search tree is a tree that has at least 1 node at a different position or with a different value compared to another binary search tree.

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• What is de-normalization?
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