Reduce the number to zero | Mitsogo
Mitsogo Question:
This mitsogo question is asked in the mitsogo 2nd round interview. To reduce the number to zero by using certain conditions.
Conditions:
- Check whether the given number is prime or not.
- If the number is prime then decrement the number by 1.
- Otherwise, find the greatest prime number(GPN) which replaces the number.
- Then replace the number by GPN.
- Repeat the steps until the number became zero and count the number of steps taken.
- At last, we have the output to reduce the number to zero
Explanation:
- Let us consider input is 21
- The given number is not prime, then check the greatest prime number(GPN) which divides 21.
- And the GPN is 7, then replace 21 by 7 count is 1
- Now 7 is a prime number then decrement the number to 6 count is 2. Then 6 is not prime.
- The GPN which divides 6 is 3 then replace it count is 3.
- Now 3 is a prime number then decrement to 2 and 2 is also a prime then decrement 1 count 5
- At last, we get zero then print the count is 6
Program:
#include <stdio.h> int isprime(int n) //Check the number is prime or not { int i; for(i=n/2;i>1;i--) { if(n%i==0) { return 0; //return when the number not prime } } return 1; } int greatest_prime(int n) //Find the greatest prime number divide n { int i,j; for(i=n/2;i>1;i--) { if(n%i==0) { j=isprime(i); //check the divided number is prime or not } if(j==1) { return i; //return greatest prime number } } } void main() { int n,i,j=0; //j can count the number of steps taken to convert the number to zero printf("Enter the number:"); scanf("%d",&n); while(n>0) { i=isprime(n); if(i==1) //If the number is prime then decrement the number by 1 { n--; j++; } else //not prime number { i=greatest_prime(n); n=i; //simplify number by replacing greatest prime number j++; } i=0; } printf("%d",j); }
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Interview Process:
1.aptutude test,2.logical reasoning,3.coding+essay writing
4.technical interview, all these rounds are elimination rounds, followed by 3 hr rounds.
Interview overview:
- The aptitude round contains 60 questions with multiple choice.
- Each wrong question carries a negative mark as well.
- The logical round contains 2 problems which medium-difficult
- HR round contains questions like tell me about your project? what is your favorite subject etc,