• Skip to primary navigation
  • Skip to content
  • Skip to primary sidebar
  • Skip to secondary sidebar

GoHired

Interview Questions asked in Google, Microsoft, Amazon

Join WeekEnd Online Batch from 4-April-2020 on How to Crack Coding Interview in Just 10 Weeks : Fees just 20,000 INR

  • Home
  • Best Java Books
  • Algorithm
  • Internship
  • Certificates
  • About Us
  • Contact Us
  • Privacy Policy
  • Array
  • Stack
  • Queue
  • LinkedList
  • DP
  • Strings
  • Tree
  • Mathametical
  • Puzzles
  • Graph

Possible sizes of bus to carry n groups of friends

December 14, 2014 by Dhaval Dave

There are n groups of friends, and each group is numbered from 1 to n. The ith group contains ai people. 
They live near a bus stop, and only a single bus operates on this route. An empty bus arrives at the bus stop and all the groups want to travel by the bus.

However, group of friends do not want to get separated. So they enter the bus only if the bus can carry the entire group.

Moreover, the groups do not want to change their relative positioning while travelling. In other words, group 3 cannot travel by bus, unless group 1 and group 2 have either (a) already traveled by the bus in the previous trip or (b) they are also sitting inside the bus at present.

 You are given that a bus of size x can carry x people simultaneously.

 Find the size x of the bus so that (1) the bus can transport all the groups and (2) every time when the bus starts from the bus station, there is no empty space in the bus (i.e. the total number of people present inside the bus is equal to x)?

 Input Format

The first line contains an integer n (1≤n≤105). The second line contains n space-separated integers a1,a2,…,an (1≤ai≤104).

 Output Format

 Print all possible sizes of the bus in an increasing order.

Sample Input

 8

1 2 1 1 1 2 1 3

Sample Output

 3 4 6 12

Sample Explanation

In the above example, a1 = 1, a2 = 2, a3 = 1, a4 = 1, a5 = 1, a6 = 2, a7 = 1, a8 = 3.

 If x = 1 : In the first trip, a1 go by the bus. There will be no second trip because the bus cannot accommodate group 2. Hence “x = 1” is not the required answer.

 If x = 2 : No bus trip is possible. That’s because a1 cannot go alone, as one seat will be left vacant in the bus. And, a1 & a2 cannot go together, because the bus is cannot accommodate both the groups simultaneously.

 If x = 3 : In the first trip, a1 & a2 go by the bus. In the second trip, a3, a4 & a5 go by the bus. In the third trip, a6 & a7 go by the bus. In the fourth trip, a8 go by the bus.

 If x = 4 : In the first trip, a1, a2 & a3 go by the bus. In the second trip, a4, a5 & a6go by the bus. In the third trip, a7 & a8 go by the bus.

Similarly you can figure out the output for x= 5, 6 & 7.

 
 Solution:

def find_possible_bus_sizes(numbers) sum_array = [] numbers.each { |num| sum_array << sum_array.last.to_i + num} max, total, out = numbers.max, sum_array.last, [] sum_array.each { |sum| out << sum if (sum>=max && total%sum==0) } out end find_possible_bus_sizes([3,4,6,7,2,1,3,4]) output :- [30] find_possible_bus_sizes([]) output :- [] find_possible_bus_sizes([1]) output :- [1] find_possible_bus_sizes([1,1,1,1]) output :- [1,2,4] find_possible_bus_sizes([1,2,1,1,1,2,1,3]) output :- [3,4,6,12] find_possible_bus_sizes([1,2,6,2,1,3]) output :- [15] find_possible_bus_sizes([1,2,1,1,1,2,1,4]) output :- [13] find_possible_bus_sizes([1,2,1,5,3]) output :- [12]

-Article by Praveen Sah

Similar Articles

Filed Under: Interview Questions, problem Tagged With: Mathematical

Reader Interactions

Primary Sidebar

Join WeekEnd Online/Offline Batch from 4-April-2020 on How to Crack Coding Interview in Just 10 Weeks : Fees just 20,000 INR

Join WeekEnd Online/Offline Batch from 4-April-2020

WhatsApp us

Secondary Sidebar

Custom Search

  • How I cracked AMAZON
  • LeetCode
  • Adobe
  • Amazon
  • Facebook
  • Microsoft
  • Hacker Earth
  • CSE Interview

Top Rated Questions

Python String and numbers

Password Predictor

Skiing on Mountains Matrix

Find loop in Singly linked list

‘N’ Story Building, with 1,2,3 steps how many ways can a person reach top of building.

N teams are participating. each team plays twice with all other teams. Some of them will go to the semi final. Find Minimum and Maximum number of matches that a team has to win to qualify for finals ?

Circular Linked List

Knight Tour Problem (Graph – Breadth First Search)

Printing each word reverse in string

Code Chef PRGIFT Solution

LeetCode: Container With Most Water

Printing intermediate Integers between one element & next element of array

Longest Increasing Subsequence

Practo Hiring Experience

System Design: Designing a LLD for Hotel Booking

Inorder and Preorder traversals of a Binary Tree given. Output the Postorder traversal of it.

Given array of 0’s and 1’s. All 0’s are coming first followed by 1’s. find the position of first 1

Regular Expression Matching

SAP Off Campus Hiring_ March 2015 Analytical Aptitude

Find shortest distances between every pair of vertices ( Dynamic Programming Floyd Warshall Algorithm)

Count Possible Decodings of a given Digit Sequence

Get K Max and Delete K Max in stream of incoming integers

Microsoft BING Interview Experience

VMWare SDEII Interview

Edit Distance ( Dynamic Programming )

The Magic HackerEarth Nirvana solutions Hiring Challenge

Python List

simple sql injection

Puzzle : 100 doors in a row Visit and Toggle the door. What state the door will be after nth pass ?

Count number of ways to reach a given score in a game

Copyright © 2025 · Genesis Framework · WordPress · Log in