CareerCup

Given a room with thief on left side of the room with finite number of sensors. He has to reach on right side missing the sensors. Each sensor is placed at any random point in the room and has its coverage in the radius r. Find out if the thief can reach to the right side without touching the range of any sensor.

Given an infinite chessboard, find minimum no. of steps for a knight to reach from the origin to (x, y).
Extension A list of forbidden coordinates are introduced where knight can’t reach. Handle this in your code. Make sure the infinite loop is handled since the board is infinite.

Given a matrix of people(denoted by small alphabets) and bikes(denoted by capital alphabets), find the nearest bike for a given person.
How will you change your solution if you have to find bikes for a set of people? (assuming multiple bikes can be at the same distance from 1 person)

Given an array of n integers, find the lexicographically smallest subsequence of length k.

Given a list of player names and their scores – {Carl, 70; Alex, 55; Isla, 40}, design a data structure that can support following modules in optimal time-
i) updateEntry(string name)
ii) getEntryFromRank(int rank)

Given an input stream of boolean values, design a data structure that can support following modules in optimal time-
i) setTrue(index)
ii) setFalse(index)
iii) setAllTrue()
iv) setAllFalse()
v) getIndex(index)

Given two strings, A and B, of equal length, find whether it is possible to cut both strings at a common point such that the first part of A and the second part of B form a palindrome.

Extension1. How would you change your solution if the strings could be cut at any point (not just a common point)?
Extension2. Multiple cuts in the strings (substrings to form a palindrome)? Form a palindrome using a substring from both strings. What is its time complexity?

Given a stream of integers, a value k and a value w, consider the integers in the window w and chop off greater k and smaller k elements from the window w. From the remaining elements, compute the average.

Implement the version control map system which takes the snapshot of the versions of data. Implement the following functions:

put(key, value) -> puts the value again the key in the latest version of the map

get(key) -> get the value of the key for the latest version of the data

snapshot() -> take a snapshot and increment the version

getValVersion(version id, key) -> return value of the key of the particular version

Given various subsequences of an array, print the overall array:

Example: [1, 3, 5], [1, 3, 9], [9, 5]

Array : [1, 3, 9, 5]

A graph has N vertices numbered from 1 to N. We have two lists. One list M consisted of edges between vertices. The other list K consists of restricted paths. We have to add edges one by one from M and check whether the addition of the particular edge leads to a path between the restricted edges given in K. If it creates a path, we have to discard the edge.

Example: N = 4; K = {(1, 4)}; M = {(1, 2), (2, 3), (3, 4)}. Here, addition of edge (3, 4) will create a path between 1 and 4. Hence we discard edge (3, 4)

You are given 2 strings which are exactly same but 1 string has an extra character. Find that character.

You are given an array of million numbers and provided a range of index (say left, right). For multiple queries, each with input left and right indexes, output the maximum in that range.

Given (x, y) coordinates, create a function such that each coordinate is uniquely mapped to an integer. Also make sure that given an integer, you should be able to find (x, y) coordinates. So F(x, y) = z and also that inverse F(z) = (x, y).

We have to paint n boards of length {A1, A2…An}. There are k painters available and each takes 1 unit time to paint 1 unit of board. The problem is to find the minimum time to get
this job done under the constraints that any painter will only paint continuous sections of boards, say board {2, 3, 4} or only board {1} or nothing but not board {2, 4, 5}.

Input : k = 2, A = {10, 10, 10, 10}
Output : 20.
Here we can divide the boards into 2
equal sized partitions, so each painter
gets 20 units of board and the total
time taken is 20.

Input : k = 2, A = {10, 20, 30, 40}
Output : 60.
Here we can divide first 3 boards for
one painter and the last board for
second painter.

Steps to get out of complete binary tree



You are given two integers A and B. A describes the number of nodes in complete binary tree.
You are B steps away from your destination in the worst case.

Initially, you can be at:

The root node of the tree and can only move bottom of the tree.

Any leaf node of the tree and can only move up the tree.

Find and return an array of integers C of size 2
where

C[0]: The number of nodes which are at B steps from the root, i.e. the number of nodes such that,
starting at that root, you have to take
B steps downwards to reach the node.

C[1]: The number of nodes such that the maximum distance from the node to any leaf in the subtree of the node is B.

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Given two numbers m and n. Find all numbers between these two numbers such that difference between adjacent digit is 1
For ex m =0 n =22
O/p - 0,1,2,3,4,5,6,7,8,9,10,12,21

Find 'k' largest element in stream of integers.

Constraints -
1) k can vary for every query
2) Stream can not be stored

Get the sum of all prime numbers up to N. primeSum(N).
Follow-up: If primeSum(N) is frequently called, how to optimize it.

N number of balloons are kept at different heights. You are asked to find out number of arrows to burst them. When an arrow hits the balloon it goes one level down.
Assume that the balloons are having same size.

for example given the balloons heights as array(Array will be given in decreasing order of size) :
5 4 3 3 2 2 1 1 1
minimum number of arrows to shoot them is: 3

explanation:
using first arrow shoot: 5 4 3 2 1
using second arrow shoot: 3 2 1
using third arrow shoot: 1

Example 2:
5 4 2 1

minimum number of arrows to shoot them is: 2
using first arrow shoot: 5 4
using second arrow shoot: 2 1

Expecting the solution to be in O(1) space complexity.

In a garden, there are several apples trees planted in a grid format. Each point (i,j) in the grid has |i| + |j| apples.

Allie can buy a square plot centred at (0,0). Find the minimum perimeter of the plot (1 unit having length = 1) such that she can collect at
least X apples. All plants on the perimeter of the plot are also included.

Sample:

Input = 1 Output = 8
input = 11 Output = 8
Input = 13 Output = 16

y

You are required to collect N numbers from a bag. Initially, the bag is empty. Whenever you put a number X in the bag, then the owner of the bag asks the question.

The questions are as follows:

. What is the greatest integer that is smaller than X and present inside the bag?

. What is the smallest number that is greater than X and present inside the bag?

If you answer both the questions correctly, then you can put X inside the bag. Your task is to answers the questions that are asked by the owner of the bag. If no such numbers exist in the bag print -1.



Example:
5 (Number of elements in the bag)
1
4
2
3
7


output:
-1 -1
1 -1
1 4
2 4
4 -1

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Given an array of integers A. calculate the sum of A[i] %A[j] for all possible i,j pair. return sum%(10^9+7) as an output solve this problem on o(n).

input :-
A=[1,2,3]
Output:-
5
Explanation:-
(1%1)+(1%2)+(1%3)+(2%1)+(2%2)+(2%3)+(3%1)+(3%2)+(3%3)

Select a random point uniformly within a rectangle, (The side of rectangle is parallel to the x/ y grid).

Follow-up: Given multiple non-overlapped rectangles on the 2D grid, uniformly select a random point from the rectangles.

Code an algorithm for a game consisting of two players. The input is a positive integer x. Each round, a player deducts a perfect square from the number. The player can choose any perfect square as long as it is less than or equal to the current number and greater than 0. The current player wins if the number becomes 0 after his deduction.

Print an unbalanced binary tree in level order with new lines after each level.