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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).

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Language : java
Find the length of the non repeated numbers in an array.
Input : 1,2,2,3,4,5,6,2,3

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

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I read this question here in careercup and saw no comments on it. So, I am answering it.
given a string find the sum of number of unique substring characters.
means if string is ACAX. the sub strings are A,C,A,X,AC,CA,AX,ACA,CAX,ACAX. in ACA, A occurs more than once so, its count is not considered, but C occurs once so its count is 1. Similarly in ACAX, A's count=0,C's count=1,X's count=1. In such a manner find sum of all counts for all substrings. The worst case time complexityis O(n). IF same substring occurs more than once then find its sum for that many times.

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You are given an array of length N that contains only integer.

A number in this array is called a special number if it is divisible by at least one other number in the array.

Write a program to print the count of special number of array.

Input format :

First Line - N

Second line - N space separated integer.

Output format :

print the count of special number in the array.

constraints

1<= N <= pow(10,5)

Note - divisible with same number will not considered.

Example -

input

N=3

Array= 5 3 10

output

1

Description - 10 is divided by 5,

5 and 3 are not divided by any number

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You are given an array of strings. For example, ["AB", "BC", "FOO", "ZA", "BAZ"]
- Output strings where you can get from one to the other using any ROT transformation.

ROT_1(AB) = BC
ROT_1(BC) = CD
ROT_25(AB) = ZA
AB,BC you can go from one to the other using ROT_1
Input: list of strings
Output: strings where you can get from one to the other using any ROT transformation.
Example:
Input : ["AB", "BC", "FOO", "ZA", "BAZ"]
Output: [ [ab, bc] , [ab, za] ]
AB,BC because you can go from one to the other using ROT_1
AB,ZA because you can go from one to the other using ROT_25
Do not return FOO, BAZ you can’t get from one to the other.

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.

How do you go about the phone interview for troubleshooting a problem, say "my computer has become slow 3 times from the last week.". Can someone please give the detailed explanation of how to go about this question. Also, "my internet is not working". How to go about these 2 troubleshooting problems in the phone interview?

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Q: Find number of Islands.
XXXOO
OOOXX
XXOOX
Return 3 islands.
1 1 1OO
OOO2 2
3 3OO 2


Followup: If the board is too big to fit in memory, how to get the number?

.

Given two sets of intervals such as {[1, 2], [4, 8]} and {[2, 5]}. Find their union {[1, 8]} for the two intervals.

Design a dictionary which words are grouped by the same characters. For example, dog and god are in the same group. And how to make it scalable to handle a huge number of words?

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Find the median of a very big array of integer. Only iterator of array is given

Given an array of elements print even and odd numbers out of it using 2 threads . even_thread and odd_thread.
int arr[] = {3,1 ,2, 5, 6, 7, 8, 10, 9};

Need to design and develop java program for assigning rankings to “Premier League” players. To start with all the players would have zero points. After every game, points would be updated for players based on the performance. Design data structure and algorithm to print the player rankings after every game.



Sample input and outputs:

Input to program would be of the format “player Id, points from the game”. Example :

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Interleave list of lists in Java
Example:
input = [[1,2,3], [9, 0], [5], [-4,-5,-2,-3,-1]];
output = [1,9,5,-4,2,0,-5,3,-2,-3,-1]

Input unsorted integer array represents a list of coins,
find the minimum amount of money that cannot be formed by these coins, each coin can only be used once
     E.g. {1,1} -> 3, {1,2,4} -> 8

We have an array if 0's and 1's like

00010000010001001

Assume that all 1's are a person and if a new person comes and if we want to add to the array in such a way that the gap between individuals are maximum as possible.

if we add a new person, then the new array should be

000100100010001001

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