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A Fibonacci sequence is defined recursively by:

F0 = 0
F1 = 1
Fn = Fn − 1 + Fn − 2, for integer n > 1.

One way of generalizing the Fibonacci sequence is by starting with any pair of numbers and extending to negative values of n.

Given two terms of a generalized Fibonacci sequence Fp and Fq, their positions p and q respectively and a position r, find Fr.

Input Format
The first line of the input contains an integer t denoting the number of test cases.

Each test case contains three lines.

    First line of each test case contains two space separated integers p and Fp
    Second line contains two space separated integers q and Fq
    Third line contains an integer r

Output Format

For each test case, print Fr which is the term of the sequence at position r.

If Fr is not an integer, represent it as an irreducible fraction in the form a/b where b > 0.
Sample Input


0 1
6 13
10
3 65
6 315
-10
0 11
1 -6
2
9 36
15 646
-5
11 72
20 5473
6

Sample Output

89
4620
5
-1/4
13/2

Create a table EMP with the following structure.


Name Type

EMPNO NUMBER(6)

ENAME VARCHAR2(20)

JOB VARCHAR2(10)

MGR NUMBER(4)

DEPTNO NUMBER(3)

SAL NUMBER(7,2)

Implement an algorithm that takes in a string containing a parenthesized expression and prints it out with all sibling expressions at the same indent level, each on its own line.

Definitions:
A parenthesized expression consist of an opening parenthesis, one or more expressions separated by one or more spaces, and a closing parenthesis.
An expression is either a word or a parenthesized expression.

Reinstall AOL Desktop Gold to avoid hitches

Examples:
(((abc))) --> abc
(ab(c)) --> ab(c)
(abc09%(c)) --> abc09%(c)
ab(c) --> ab(c)
(ab)c --> (ab)c
abc(c)) → INVALID
(abc)(def) --> (abc)(def)
(abc)typ(def) --> (abc)typ(def)
((abc)(def)) --> (abc)(def)

You are in charge of designing a small, in-memory social network, with the basic functionality of adding friendship
between two people via an AddFriendship function, and a GetSuggestedFriends function for a particular user in the
network. The criteria is to pick someone with whom the given user has the most number of friends in common.

Start by discussing the most suitable data structure, and implement all the objects and functions.

Write all possible scenarios for youtube app on your TV

Program to find the frequency of each element in the array OR write a program to count the occurrence of each number in a given string

text = 'ABCDEFGHIJ'
output = '"A""

Asked in Google - 2020, Goldman Sachs - 2020

Given two Array.
A = [1,3,4,2,5,6] B = [3,4,6,5,7]
we have to remove 3,1,2,6 and Insert 6,7 to make A equal to B.

we can delete and insert any element at anywhere from first array and make that array same as second array. Output is Minimum Number of elements required to be insert in first array.

constraints:
1 <= First Array Size <= 10^5
1<= Second Array SIze <= 10^5
1 <= firstarray[i] <= 10^9
1 <= secondarray <= 10^9
second array consist of distinct element.

Note : it is same as edit distance but here our constraints are 10^5.

Implement binary addition of two strings.
For example "101101" and "111101" equal "1101010"
You cannot use any type conversion, operate only with strings.

I was asked during a virtual onsite to design a chat server. I was interviewing for a senior software engineer position. Here are some of the requirements:
- real time communication.
- offline handling
- multi-device supports.

Luckily, I was well prepared for system design interview questions. Thanks to system design interview - an insider's guide book on amazon and system design primer. Still waiting for the response. Wish me luck!

find target in chess board with given start position of knight

Bob and Alice have teamed up on a game show. They won the first
round, allowing them access to a maze with hidden gold. If Bob can
collect all the gold coins and deliver them to Alice's position, they can
split the gold. Bob can move North⇆South or East⇆West as long as he
stays in the maze and the cell is not blocked. The task is to determine
the shortest path Bob can follow to collect all gold coins and deliver
them to Alice. If it is not possible, return -1.

You will be given an n × m array where each of the values ∈ {0, 1, 2}
representing open, blocked and open with a gold coin. Alice's position is
given as (x,y) = (row, column). Bob starts at the top left in cell (0, 0).


For example, maze = [[0,2,1],[1,2,0],[1,0,0]] with Alice at (2,2) is
represented as follows:

0 2 1
1 2 0
1 0 0

minMoves has the following parameter(s):
maze[maze[0][0],...maze[n-1][m-1]]: a 2D array of integers
x: an integer denoting Alice's row coordinate
y: an integer denoting Alice's column coordinate

Constraints
1 ≤ n, m ≤ 100
0 ≤ the number of coins ≤ 10
1 ≤ x < n
1 ≤ y < m


The first line contains an integer n, the numbers of rows in maze.
The second line contains an integer m, the number of columns in
maze.
Each of the next n lines contains m space-separated integers
describing the cells of each row in maze.
The next line contains an integer x.
The next line contains an integer, y.


Sample Input 0
3
3
0 2 0
0 0 1
1 1 1
1
1

Sample Output 0
2
Explanation 0
The shortest path Bob can take is (0, 0) → (0, 1) → (1, 1).


Sample Input 1
3
3
0 1 0
1 0 1
0 2 2
1
1

Sample Output 1
-1
Explanation 1
It is not possible for Bob to reach Alice, so we return −1.


Sample Input 2

3
3
0 2 0
1 1 2
1 0 0
2
1
Sample Output 2
5
Explanation 2
The shortest path Bob can take is (0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (2, 1).

Design a system to efficiently find 10 top selling products on an online shopping site at a given time with a time window of say 20 minutes.

Say, every second 100 products buy count getting updated.

Which data structure && algorithm would be the best to design such kind of systems ?

Given a array of integers find the index which partitions the array to two with high numbers and low numbers. For example [5, -1, 3, 8,6] the index 3 will partition the array to [5,-1,3] and [8,6] all the numbers in the second partition are greater than first. The solution has to work in O(n).

Given an n-ary tree and some queries for the tree, in every query you’ll be given a node you are supposed to print preorder traversal of the subtree rooted at that node.

You have an array of numbers. You have to give the range in which each number is the maximum element. For Example, If array is 1, 5, 4, 3, 6 The output would be
1 [1, 1]
5 [1, 4]
4 [3, 4]
3 [4, 4]
6 [1, 5]

Given an array of billion of numbers. Billions of queries are generated with parameters as starting and an ending index. Both these indices lie within that array. Find the maximum number between these two indices in less than O(N)

Multiply two numbers without using * and only be using bitwise operations

Display nodes of a tree in level order using DFS

Implement a deque using stacks

Given the entire dictionary of English words, what data structure will you use to efficiently store and match the custom regex string like "D*sk", where * represents any single alphabet, and return the list of matched words?

Given a skewed tree, an insect is sitting at the root of the tree at t = 0min, every minute insect steps down in the tree, find the probability of the insect being at any node at t = infinity. Once I came up with a solution various other complexities has been added to the problem such as: What if the tree is binary tree (written code for this) What if three is n-ary What if it is now a directed acyclic graph Handle cases that there can be more than one entry point There can be more that one way to reach a node

Given a binary tree of numbers and a search number has given, find out first occurence of that number and smallest distance from root node. if you have given k search numbers find their occurence and nearest from root node in a single walk.

Given a string of numbers put commas so that it become readable like million trillion thousands. eg 1010503 ===> 1,010,503

Given an array of 0s and 1s. find maximum no of consecutive 1s. If you have given chance to flip a bit to 1 such that it maximises the consecutive 1s. find out that flipped bit and after flipping that bit maximum no of consecutive 1s. Above question but you have options to flip k bits.

Design a system which will keep track of product and its inventory count. The service will expose two api incrCnt(int prodId, int cnt) and decrCnt(int prodId, int cnt). Which db would you use ? How will you handle hot products ?

/**
Given a nested list of integers, return the sum of all integers in the list weighted by their depth.

Each element is either an integer, or a list -- whose elements may also be integers or other lists.

Example 1:

Input: [[1,1],2,[1,1]]. - 1 at depth 2, 1 at depth 2, 2 is at depth 1, 1 at depth2, 1 at depth 2

// [1] - at depth 1, [[1]] - at depth 2, [[[[1]]]] at depth 4

Output: 10
Explanation: Four 1's at depth 2, one 2 at depth 1.

1*2 + 1*2 + 2*1 + 1*2 + 1*2 = 10

Example 2:

Input: [1,[4,[6]]]
Output: 27
Explanation: One 1 at depth 1, one 4 at depth 2, and one 6 at depth 3; 1*1 + 4*2 + 6*3 = 27.

[[[1]]] - at depth 3
*/


/**
* // This is the interface that allows for creating nested lists.
* // You should not implement it, or speculate about its implementation
* public interface NestedInteger {
* // Constructor initializes an empty nested list.
* public NestedInteger();
*
* // Constructor initializes a single integer.
* public NestedInteger(int value);
*
* // @return true if this NestedInteger holds a single integer, rather than a nested list.
* public boolean isInteger();
*
* // @return the single integer that this NestedInteger holds, if it holds a single integer
* // Return null if this NestedInteger holds a nested list
* public Integer getInteger();
*
* // Set this NestedInteger to hold a single integer.
* public void setInteger(int value);
*
* // Set this NestedInteger to hold a nested list and adds a nested integer to it.
* public void add(NestedInteger ni);
*
* // @return the nested list that this NestedInteger holds, if it holds a nested list
* // Return null if this NestedInteger holds a single integer
* public List<NestedInteger> getList();
* }
*/
public int depthSum(List<NestedInteger> nestedList) {

}