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Thursday, August 25, 2011

find at what time the maximum number of people will be in the party .

Found This Question on One of the Forum :D & posting here as thought it  seems to be something interesting :) There is a list containing the checkin and checkout time of every person in a party . The checkin time is in ascending order while the checkout is random .
Eg:
                       Check_in                Check_out
Person 1             8.00                          9.00
Person 2             8.15                          8.30
Person 3             8.30                          9.20

and so on ...Now , give an optimized solution to find at what time the maximum number of people will be in the party . 

Algorithm

It has the same Algorithm  That  We have been used to solve Bus-Station Problem :)

Time Compelxity O(nlogn)
Space Complexity O(1) 

3 comments:

  1. Hi Shashank,

    Can i have an Array(hashtable) where indexes for each 5 mins from 8pm to 10pm initializing with zeros

    And now scan all the three schedules and add 1 in the corresponding 5min index in the array now u have number of people in the corresponding 5 min.

    ReplyDelete
  2. I just solved it with a bit different approach.

    Now i am using a Linked List. Each node Corresponds to an event
    Event= Check In/CheckOut
    Value of each node = Number of participants in the party

    Sort all the events(Check In and Check Out)

    So lets start
    Event 1. Check In 8:00 Count = 1.

    Event 2. Check In 8:15 count = 2.

    Event 3. 8:30 Check Out + Checke In = 2

    Event 4. 9:00 Check Out = 1

    Event 5. 9:20 check out = 0.

    Now we have 5 nodes corresponding to all events Scan twice all the nodes we can get what was the max freq and at what interval

    ReplyDelete
  3. @anshul..You are very much right,i have also mentioned two similar problem with same algorithm , also give me some time to reply back for your other comments , keep it up :)

    Cheers !!!
    Shashank

    ReplyDelete

Hi thanks , we will get back to you shortly !!!