CareerCup

Given a map represented as a 2d array with only 0’s and 1’s. An island is a group of connected 1’s. Find out how many distinct islands(can be rotated).
eg:
1 1 0 0
1 0 0 0
0 0 0 1
0 0 1 1

return 2.

Given a wall, which is made up of two types of bricks (Porus / opaque ). Porus bricks allow water pass through them. Opaque won't. Find whether water reaches to ground, if there is any rainfall.
Water can flow from top to bottom, diagonally, horizontally as well. Only flowing from bottom to top is not possible.

Given an infinitely large array and every element has tags associated with them, and there are about 10,000 tags (say) then sort the given array to get all tag-0’s first, tag-1’s next and so on in O(n).

water capacity in a histogram
what is the capacity if an array value becomes 0 - which will make the water to flow off the histogram

Reverse a linked list

Find Duplicate number from a huge amount of data which cannot fit in the memory.

Find kth-largest number from a huge amount of data which cannot fit in the memory.

Given a random MxN matrix and a positive integer, recursively Your program should then find a continuous path thought the matrix starting at position 0,0 that will sum to n. Your program shouldomly move left (col -1), right(col +1), up (row -1) and down (row+1)and can only use a position once in the sum. if there is a such path in the matrix, create the path in a separate matrix with the same size, and replacing the indices used with 1 and the rest 0.

Yahoo Sunnyvale onsite
A string s3 consists of multiple repetitions of s1.
Given s1 and another string s2, find if s2 is a substring of s3.
s3 = s1 + s1 + … + s1 = n * s1, where n is a positive integer 0.
For example
s1 = “aabc”, s2 = “caa” => true
s1 = “aabc”, s2 = “cab” => false
s1 = “aabc”, s2 = “caabcaa” => true

A city represented by a rectangular matrix is divided into plot of lands, and the cost of each plot is known. Find the largest rectangular area of land we can buy, within a budget B.

4 6 7
3 5 2
2 4 5

B = 16

Amazon phone interview
A queue of people are waiting to buy ice cream from you.
Each person buys one ice cream, which sells for $5.
Each customer is holding a bill of $5, $10 or $20.
Your initial balance is 0.
Find whether you will be able to make change for every customer in the queue. You must serve customers in the order they come in.

For example
5, 5, 5, 10, 20 -> true,
5, 5, 10 -> true,
10, 10 -> false

Congrats on aonecode member A.P. for signing the offer with FB! Thanks for sharing the experience with us.
phone:
postorder tree traversal recursive -> iterative
add two binary number


on-site:
1 ring buffer
2 merge intervals
3 Leetcode alien dictionary
4.sort list of words

Airbnb: Design webbrowser back button

Your web browser supports will support three actions: back, forward and open. The init webpage is “about:blank”.
Given a sequence of commands. Return the result page.

You have been given a generator string ab from which any number of strings can be generated recursively by inserting ‘ab’ at any location. You have been given an input string to check if that given string is valid or not.(i.e. generated by given with given string.)

eg.
Input: aabbab
Output: valid
Input: abbaab
Output: Invalid

I could not come up with a algorithm less than O(N*N)

Search for a sorted integer in an integer array that has been rotated multiple times.

Print the bottom view of a Binary Tree.
ex-

1        

        2       3

    4       5       7

        8       9       10

result is 4, 8, 5, 9, 7, 10

Given an alphabet where we do not know the order of the letters also do not know the number of letters.

We are give an input list of tuples where each entry in the list gives an ordering between the 2 letters

Determine the alphabet order.

Ex-
<A, B>
<C, D>
<C, E>
<D, E>
<A, C>
<B, C>
Order is A, B, C, D, E

AWS phone interview
Find the left view of binary tree
1
/ \
2 3
/\ \
4 5 6
/ /
7 8
/
9
return [1, 2, 4, 7, 9]

April Google Interview 1/4
A = a+b-c-a-b-c-a-b (Tree)
B = b+a+c+a+b-c+b (Tree)
is A equal to B

April Google Interview 4/4
Build HTML Reverser
Given
<A>(hello)(<P>ab</P>)(<S>hi</S>)</A>
Return
<A>(<S>ih</S>)(<P>ba</P>)(olleh)</A>

April Google Interview 3/4
Maze
N,M array
Level 1 0,0 to N-1,M-1 => Path exsits?
Level 2 if path exists then print path
Level 3 if path exists then print min cost path
Level 4 O(nm log mn) using Priority Queue.

April Google Interview 2/4
Count Number Given Array
Level1 Unsorted Array [1, 3, 2, 1, 2 ,3 , 4, 10]
Find occurrence of 1
Level 2 Sorted Array
Find occurrence of 1

Write a function that receives string with decimal number (i.e. all characters are decimal digits) and prints the sum of all possible substring-numbers, example:
sum(“123”) = 123 + 12 + 23 + 1 + 2 + 3 = 167

Given N number of Strings, generate all combination of these String's characters, these Strings must be N long, and must contain only one number of char from each string.

example: "abc", "def", "ghi" --> adg, adh, adi, aeg ... cfg

Assume courses labeled by their index in an array. Given a list of pairs where the first element represents a prerequisite course required for the second course, derive an ordered list of courses.

For a given set of non-negative integers get the number of subsets that add up to a target value k.

Write a function to compute n^k. (don't forget negative exponents)

Imagine a horizontal corridor bounded by y = y1 and y = y2 lines on a 2D-plane. There are N sensors with centers (x, y) each of which operates in a range (r) on the plane . So, they cover some circular areas on the plane. See the figure below.

o            |
_____o___o__|____________ y = y1
		o	|OOO
__________oo|_____O______ y = y2
	O		|  O
_ _ _ _ _ _ | _ _ _ _ _ _
			|
	o O		|		o O
		O	|
			|
O			|
			|

The question is whether a path exist from x=-inf to x=+inf via corridor without being detected any radar.

Constraints:
1. You are free to move any direction only if you stay in the corridor.
2. You are free to go through corridor borders.
3. N sensors are given as list of (x, y, r) like [(1, 3, 2), (-1, -3, 4)]. x and y are signed integers. r is a unsigned integer.
4. y1 and y2 are integers.

My solution:
1. Create an intersection graph of N sensors by comparing them each other via Euclidean distance

(x1 - x2)^2 + (y1 - y2)^2 <= (r1 + r2)^2

2. If there is a path between y=y1 and y=y2 through intersected sensors, there do not exist any path from x=-inf to x=+inf. Otherwise, there do exist a path. So, I used BFS to search such a path.

Worst Case Complexity:
1. O(n^2)
2. O(V + E) = O(n + intersection_count)

Total: O(n^2)

My Best Case Optimization for Intersection Graph:
1. For each sensor, create two events for start and end of circles vertically. y = (y1 - r) and y = (y1 + r)
2. For each sensor, register those two events into an array.
3. Use a line sweep algorithm over 2, which is O(nlogn + intersection_count) and intersection_count may be n^2 at worst case.

I wonder if I should have had a better solution with the worst case < O(n^2).

You are given the length and time of occurrence of packet and Queues which process packets. Total processing time for a packet is equal to the length of packet plus the waiting time in queue. For eg lets say we have only one queue for now, and A packet of length 5 comes at t = 1, and another packet of length 4 comes at t = 3. Total processing time for first packet is 5( no waiting time as queue is empty at t = 1) and at t = 3, 2 units of first packet is processed and 3 units remaining so, for second packet 3 units will be waiting time in queue plus 4 units for its length. Total processing time for 2nd packet is 7 units. If there are multiple queues you can add new packet in any of the other queues. Given the time and length of all incoming packets, we need to find the minimum no. of queues required such that total processing time of each packet is less than 10 units. Maximum possible no. of queues are 5. If you require more than 5 queues print -1.


Test Cases Format: First Line contains the number N, the total no. of packets and N following line contains two numbers ti, li where li is length of packet coming at time = ti units.

Test case1:
2
2 7
5 8

Test Case 2:
3
1 3
2 3
3 5

Test Case 3:
3
1 5
2 4
3 8

Output:

Case1: 2
Case2: 1
Case3: 2

Consider the following time table of incoming packets:

time	packets-length
1	    8
2	    5
3	    2
4	    6

If you put the packet in queue with minimum time then this will lead to 3 queues:

t = 1:
q1: 8

t = 2:
q1: 7
q2: 5

t = 3:
q1: 6
q2: 4, 2

t = 4:
q1: 5
q2: 3, 2
q3: 6

But its output should be 2 queues:
1) 8 in queue 1
2) 5 in queue 2
3) 2 in queue 1
4) 6 in queue 2

Given a bar chart which the heights of bars are notated as an array of positive integers. Rectangles can be formed in areas covered by one or more bars. Find the largest rectangle.