Practice
Resources
Contests
Online IDE
New
Free Mock
Scaler
Practice
Improve your coding skills with our resources
Contests
Compete in popular contests with top coders
Scaler
Explore Offerings by SCALER

Begin your success journey!

Sign Up using
Full name *
Email *
Password *

By creating an account, I acknowledge that I have read and agree to InterviewBit’s Terms and Privacy Policy .

Welcome back!

Log In using
Email *
Password *

Potions


Problem Description

You are given N potions arranged in a row in the form of an array A.
Each potion has one of 100 different colors (colors have numbers from 0 to 99).
You need to mix all these potions together.
At each step, you are going to take two potions that stand next to each other and mix them together,
and put the resulting mixture in their place.
When mixing two mixtures of colors X and Y, the resulting mixture will have the color (X + Y) mod 100.
Also, there will be some smoke in the process. The amount of smoke generated when mixing two mixtures of colors X and Y is X * Y.
Find out what is the minimum amount of smoke that you can get when mixing all the potions together.



Problem Constraints
1 <= N <= 100
0 <= Ai <= 99


Input Format
The first argument is the integer array A.


Output Format
Return a single integer denoting the minimum amount of smoke.


Example Input
Input 1:

A = [2, 3]

Input 2:

A = [2, 3, 4, 5]



Example Output
Output 1:

6

Output 2:

71



Example Explanation
Explanation 1:

There are only two potions given. Upon mixing them, we get 2 * 3 = 6 amounts of smoke.

Explanation 2:

Out of all the possible order of operations of mixing the given potions, the minimum amount of smoke you can get is 71.



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
Start solving Potions on Interview Code Editor
Hints
  • Hint 1
  • Solution Approach
  • Complete Solution
Asked In:

Discussion


Loading...
Click here to start solving coding interview questions
Free Mock Assessment
Fill up the details for personalised experience.
All fields are mandatory
Current Employer *
Enter company name *
Graduation Year *
Select an option *
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
Phone Number *
OTP will be sent to this number for verification
+1 *
+1
Change Number
Graduation Year *
Graduation Year *
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
*Enter the expected year of graduation if you're student
Current Employer *
Company Name *
Please verify your phone number
Edit
Resend OTP
By clicking on Start Test, I agree to be contacted by Scaler in the future.
Already have an account? Log in
Free Mock Assessment
Instructions from Interviewbit
Start Test