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Monday, February 18, 2019

Question Name:Monk and Modulo Based Sorting

#include <iostream>
#include <algorithm>
 
using namespace std;
 
int main() {
 int n,k;
 cin>>n>>k;
 
 int a[n];
 
 for(int i=0;i<n;i++)
 {
     cin>>a[i];
 }
 
 for(int i=0;i<n-1;i++)
 {
     for(int j=0;j<n-i-1;j++)
     {
         if(a[j] % k > a[j+1] % k)
         {
             swap(a[j],a[j+1]);
         }
     }
 }
 
 for(int i=0;i<n;i++)
 {
     cout<<a[i]<<" ";
 }
 
 
 
 
}
  • Problem Description
    Monk likes to experiment with algorithms. His one such experiment is using modulo in sorting.He describes an array modulo sorted as:

    Given an integer k, we need to sort the values in the array according to their modulo with k. That is, if there are two integers a and
    b, and a%k<b%k, then a would come before b in the sorted array. If a%k=b%k , then the integer which comes first in the given array remains first in the sorted array.

    Given an initial array, you need to print modulo sorted array.

    Input:
    The first line consists of two integers N and k, N being the number of elements in the array and k is the number with which we need to take the modulo.
    The next line consists of N space separated integers , denoting the elements of the array A.

    Output:
    Print the modulo sorted array of the given array.

    Constraints:

    1<=N<=10^4
    1<=k<=10^9
    1<=A[i]<=10^9
    1<=i<=N
  • Test Case 1
    Input (stdin)5 6
    12 18 17 65 46
    Expected Output12 18 46 17 65
  • Test Case 2
    Input (stdin)4 6
    4 6 2 8
    Expected Output6 2 8 4

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