CareerCup

A thief trying to escape from a jail has to cross ‘N’ walls each with varying heights. He climbs ‘X’ feet every time. But, due to the slippery nature of those walls, every times he slips back by ‘Y’ feet. Now the input is given as (N, {H1, H2, H3,….Hn}, X, Y}. Calculate the total number of jumps required to cross all walls and escape from the jail.

transactions = [
{"payee": "BoA", "amount": 132, "payer": "Chase"},
{"payee": "BoA", "amount": 827, "payer": "Chase"},
{"payee": "Well Fargo", "amount": 751, "payer": "BoA"},
{"payee": "BoA", "amount": 585, "payer": "Chase"},
{"payee": "Chase", "amount": 877, "payer": "Well Fargo"},
{"payee": "Well Fargo", "amount": 157, "payer": "Chase"},
{"payee": "Well Fargo", "amount": 904, "payer": "Chase"},
{"payee": "Chase", "amount": 976, "payer": "BoA"},
{"payee": "Chase", "amount": 548, "payer": "Well Fargo"},
{"payee": "BoA", "amount": 872, "payer": "Well Fargo"},


There are multiple transactions from payee to payer. Consolidate all these transactions to minimum number of possible transactions.
HINT: Consolidate transitive transactions along with similar transactions

Design a space shooter program .
Note: The game includes spaceship , bullets and asteroids. Spaceship rotates in 180 degree generating bullets. The position of the bullets gets updated after certain time period every time . No Need to write the code for collision detection
Basic code in expected . Not the entire working code.

Given a list/array of "Assign" trees with integers, operators and variables, return the result of the requested "Result" tree expression.

Example:

"Assign"
  /  \
"x"  "+"
    /   \ 
   2     3

"Assign"
  /  \
"y"  "-"
    /   \ 
  5000  30

"Assign"
  /  \
"z"  "*"
    /   \ 
  50     x

"Return"
  \
  "-"
  /  \    
 z   "*"
     / \
    1   y

The array of integers in given . The array indicates nothing but the heights of the cylinders. The robotic arm has two ends-> left and right.
The left end points to the left end of the cylinder array and right end searched for the cylinder with least height.
ex:
array = {4,5,6,7,1,2}
left end => index 0
right end =>index 0->n giving index 4 with min height
Now the entire block is rotated by 180 degree.
now the array = { 1, 7, 6, 5, 4, 2}
now the left end moves forward.
and right end will search from left index onwards till the end of the array
so left index = 1
right index => 1-> n giving index 5 as min. height
again do the block rotate .
Write the code for this particular algorithm.
However, there is one condition
1. If there are duplicates in the array then the final order of those duplicates should remain the same.
ex. If the cylinder with height 4 is appearing at index 3 and 5 in the initial array then the cylinder at index 3 should always appear before the one at index 5 in the final array.

The array of integers in given . The array indicates nothing but the heights of the cylinders. The robotic arm has two ends-> left and right.
The left end points to the left end of the cylinder array and right end searched for the cylinder with least height.
ex:
array = {4,5,6,7,1,2}
left end => index 0
right end =>index 0->n giving index 4 with min height
Now the entire block is rotated by 180 degree.
now the array = { 1, 7, 6, 5, 4, 2}
now the left end moves forward.
and right end will search from left index onwards till the end of the array
so left index = 1
right index => 1-> n giving index 5 as min. height
again do the block rotate .
Write the code for this particular algorithm.
However, there is one condition
1. If there are duplicates in the array then the final order of those duplicates should remain the same.
ex. If the cylinder with height 4 is appearing at index 3 and 5 in the initial array then the cylinder at index 3 should always appear before the one at index 5 in the final array.

Generate a random number with UNIFORM DISTRIBUTION between [0,n) where n is given and excluded list is given. The randomly generated number should belong to the range [0, n) but should be excluded from the given excluded list. For example, n = 10 and excluded list ={2,3,0} then the random number should be from {1,4,5,6,7,8,9} such that any number from the list {1,4,5,6,7,8,9} has UNIFORM probablility of occuring

Perform left and right shift on string

Find max sum of sub array.

Implement stack using a queue.

Merge the overlapping intervals.

Reverse the words in string eg. 'The Sky is Blue'. then print 'Blue is Sky The'.

Find max sum of subarray

java program to interchage continous vowels in a string
ex:vowels
becomes vewols
continuous becomes cintonouuus

Consider an implementation of Strings consisting of an array where the first element of the array indicates the length of the String and the next elements represent the value of the ASCII characters in the String. Implement String concatenation and discuss shortcomings of this operation under this implementation of Strings.

Suppose that there exists a service to fetch Facebook posts through an interface defined by you, design the Facebook wall feed.

Given an array of ints and a value X, find wether there are 3 elements in the array such that their sum is X (return true/false).

Given two vectors that might be sparse, calculate their Dot product. You can assume any data structure to represent the vectors.

Given a matrix of characters where '_' represents an empty space, 'T' is a tree and 'H' is a house and a coordinate of that matrix, find the sum of the minimum distances from that coordinate to each house when considering that you can move through empty spaces and houses but not through trees.

Reverse a linked list.

Given two tree nodes and the root of a tree, find the distance between both nodes in the tree.

Given a String that contains parenthesis, remove the least amount of parenthesis from it such that it becomes balanced.

How would you store very large numbers that can't be store in a regular Integer or BigInteger, and make calculations

Design an application for people to find a place near them where they can join a team to play their favorite sport. Exp. Soccer teams open to join that are scheduled to play at a certain time and place. The application would search for the available teams to join within certain area playing within some given time period,

You have N toffee packets, each containing different number of toffees. The number of toffees contained in the ith packet is denoted by ci. You need to put these toffee packets in M boxes such that each box contains at least one toffee packet, and the maximum number of toffees in a box is minimum.
You can only choose consecutive toffee packets to put in a box.

Input
The first line of the input contains an integer T denoting the number of test cases. The first line of each test case contains two space separated integers N, M denoting the number of toffee packets and the number of boxes respectively. The second line of each test case contains N space separated integers c1, c2, ..., cN where ci denotes the number of the toffees in the ith toffee packet.

Output
For each test case, output a single line containing the maximum number of toffees in a box. Also, output -1 if such an assignment of toffee packets to boxes is not possible.

Constraints
1 ≤ T ≤ 20
1 ≤ N,K ≤ 100000
1 ≤ ci ≤ 1000

Example
Input:
1
4 2
10 3 5 7

Output:
13

Explanation
Below are the possible assignments of toffee packets to boxes.

10 [3 5 7]
10 3 [5 7]
10 3 5 [7]
For minimizing the maximum number of toffees in a box, we choose the second assignment, and hence the output should be 13

Amr bought a new video game "Guess Your Way Out!". The goal of the game is to find an exit from the maze that looks like a perfect binary tree of height h. The player is initially standing at the root of the tree and the exit from the tree is located at some leaf node.

Let's index all the leaf nodes from the left to the right from 1 to 2^h. The exit is located at some node n where 1 ≤ n ≤ 2^h, the player doesn't know where the exit is so he has to guess his way out!

Amr follows simple algorithm to choose the path. Let's consider infinite command string "LRLRLRLRL..." (consisting of alternating characters 'L' and 'R'). Amr sequentially executes the characters of the string using following rules:
Character 'L' means "go to the left child of the current node";
Character 'R' means "go to the right child of the current node";
If the destination node is already visited, Amr skips current command, otherwise he moves to the destination node;
If Amr skipped two consecutive commands, he goes back to the parent of the current node
before executing next command;
If he reached a leaf node that is not the exit, he returns to the parent of the current
node;
If he reaches an exit, the game is finished.
Now Amr wonders, if he follows this algorithm, how many nodes he is going to visit before reaching the exit?

Input
First Line contains T the number of test cases
The next T lines contains 2 integers h, n

Output
Output T lines each containing an integer representing the number of nodes (excluding the exit node) Amr is going to visit before reaching the exit by following this algorithm.

Constraints
1 ≤ T ≤ 10
1 ≤ h ≤ 50
1 ≤ n ≤ 2^h

Example
Input:
1
2 2

Output:
2

Explanation
Example case 1. Amr would visit first root node then root->left node and then go to the root->left->right node which is the exit. hence 2 nodes visited before reaching the exit

You are walking down the escalator to catch a subway train. The escalator itself moves at a speed of Ve meters per minute. You can walk down the escalator at a relative speed of Vy meters per minute. The length of the escalator is L meters. Trains arrive T minutes apart. Let t be the time between your arrival to the station if you stand still on the escalator and the arrival of the last train before your arrival. Assume that t is a random variable uniformly distributed between 0 and T. Return the probability of catching an earlier train if you choose to walk down the escalator instead of standing still on it.

Input :
The first line of the input contains an integer Tc denoting the number of test cases. Each test case contains the following 4 lines
Ve - velocity of escalator
Vy - your relative velocity with the escalator
L - length of escalator
T - Time Period of Trains
Output
For each test case, output a single line containing the expected probability having an absolute or relative error less than 10^-6.

Constraints
0 ≤ Tc ≤ 5 * 10 ^ 7
1 ≤ Ve ≤ 1000
1 ≤ Vy ≤ 1000
1 ≤ L ≤ 10 ^ 5
1 ≤ T ≤ 10 ^ 6

Example
Input:
2
10
10
20
2
10
10
100
4

Output:
0.5
1.0

Explanation
Example case 1. If you stand still, it'll take you 20/10 = 2 minutes to reach the bottom of the escalator. If you choose to walk, it'll make you 20/(10+10) = 1 minute. In the second case you save 1 minute and in 50% of the cases it'll allow you to catch an earlier train.
Example Case 2. Here, if you choose to walk instead of stand still, you will save 5 minutes and you will certainly be guaranteed to catch an earlier train.

Find out if the given string forms a valid lottery number.

- A valid lottery number contains 7 unique digits between 1 and 59.

e.g.

4938532894754 (yes) -> 49 38 53 28 9 47 54

1634616512 (yes) -> 1 6 34 6 16 51 2

1122334 (no)

There are three row of houses. There are N houses in each row. Each house can be painted with three colors: red, blue and green. The cost of painting each house with a certain color is different. You have to paint all the houses with following constaints

No two adjacent houses in a row have the same color.
Houses in a column have three different colors
You have to paint the houses with minimum cost. How would you do it?

Note: The cost of painting house 1 red is different from that of painting house 2 red in any row. Each combination of house and color has its own cost.

Write a function that takes an array of positive and negative integers and a number. This function should return true if the array contains a contiguous sub array that sums up to the number (2nd input).
He wanted an O(n) algorithm.