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Print indices in non-decreasing order of quotients of array elements on division by X
  • Last Updated : 04 Feb, 2021

Given an array arr[] consisting of N integers and an integer X, the task is to perform integer division on the array elements by X and print the indices of the array in non-decreasing order of their quotients obtained.

Examples:

Input: N = 3, X = 3, order[] = {2, 7, 4}
Output: 1 3 2
Explanation:
After dividing the array elements by 3, the array modifies to {0, 2, 1}. Therefore, required order of output is 1 3 2.

Input: N = 5, X = 6, order[] = {9, 10, 4, 7, 2}
Output: 3 5 1 2 4
Explanation:
After dividing the array elements by 6, the array elements modify to 1 1 0 1 0. Therefore, the required sequence is 3 5 1 2 4.

Approach: Follow the steps below to solve the problem: 
 



  • Traverse the array
  • Initialize a vector of pairs.
  • For each array element, store the value of the quotient obtained after division by X as the first element of the pair in the vector and the second element as the position of the integer in the required order.
  • After the traversal, sort the vector and then finally print all the second elements of the pairs.
     

Below is the implementation of the above approach:

C++

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// C++ program for the above approach
#include <bits/stdc++.h>
using namespace std;
 
// Function to print the order of array
// elements generating non-decreasing
// quotient after division by X
void printOrder(int order[], int N, int X)
{
 
    // Stores the quotient and the order
    vector<pair<int, int> > vect;
 
    // Traverse the array
    for (int i = 0; i < N; i++) {
 
        if (order[i] % X == 0) {
 
            vect.push_back({ order[i] / X,
                             i + 1 });
        }
        else {
 
            vect.push_back({ order[i] / X + 1,
                             i + 1 });
        }
    }
 
    // Sort the vector
    sort(vect.begin(), vect.end());
 
    // Print the order
    for (int i = 0; i < N; i++) {
        cout << vect[i].second << " ";
    }
 
    cout << endl;
}
 
// Driver Code
int main()
{
 
    int N = 3, X = 3;
    int order[] = { 2, 7, 4 };
    printOrder(order, N, X);
 
    return 0;
}

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Java

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/*package whatever //do not write package name here */
 
import java.io.*;
import java.util.*;
class GFG {
 
    // Function to print the order of array
    // elements generating non-decreasing
    // quotient after division by X
    static void printOrder(int order[], int N, int X)
    {
 
        // Stores the quotient and the order
        ArrayList<int[]> vect = new ArrayList<>();
 
        // Traverse the array
        for (int i = 0; i < N; i++) {
 
            if (order[i] % X == 0) {
 
                vect.add(new int[] { order[i] / X, i + 1 });
            }
            else {
 
                vect.add(
                    new int[] { order[i] / X + 1, i + 1 });
            }
        }
 
        // Sort the vector
        Collections.sort(vect, (a, b) -> a[0] - b[0]);
 
        // Print the order
        for (int i = 0; i < N; i++) {
            System.out.print(vect.get(i)[1] + " ");
        }
 
        System.out.println();
    }
 
    // Driver Code
    public static void main(String args[])
    {
 
        int N = 3, X = 3;
        int order[] = { 2, 7, 4 };
        printOrder(order, N, X);
    }
}
// This code is contributed by hemanth gadarla

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Python3

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# Python3 program for the above approach
 
# Function to prthe order of array
# elements generating non-decreasing
# quotient after division by X
def printOrder(order, N, X):
 
    # Stores the quotient and the order
    vect = []
 
    # Traverse the array
    for i in range(N):
 
        if (order[i] % X == 0):
            vect.append([order[i] // X, i + 1])
        else:
            vect.append([order[i] // X + 1,i + 1])
 
    # Sort the vector
    vect = sorted(vect)
 
    # Prthe order
    for i in range(N):
        print(vect[i][1], end = " ")
 
        # Driver Code
if __name__ == '__main__':
 
    N, X = 3, 3
    order = [2, 7, 4]
    printOrder(order, N, X)
 
# This code is contributed by mohit kumar 29

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C#

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// C# program to implement
// the above approach
using System;
using System.Collections.Generic;
 
class GFG
{
 
// Function to print the order of array
// elements generating non-decreasing
// quotient after division by X
static void printOrder(int[] order, int N, int X)
{
 
    // Stores the quotient and the order
    List<Tuple<int,
               int>> vect = new List<Tuple<int,
                                          int>>();
 
    // Traverse the array
    for (int i = 0; i < N; i++)
    {
 
        if (order[i] % X == 0)
        {
            vect.Add(new Tuple<int,int>((order[i] / X), i + 1));
        }
        else
        {
            vect.Add(new Tuple<int,int>((order[i] / X + 1), i + 1));
        }
    }
 
    // Sort the vector
    vect.Sort();
 
    // Print the order
    for (int i = 0; i < N; i++)
    {
        Console.Write(vect[i].Item2 + " ");
    }
 
    Console.WriteLine();
}
 
// Driver Code
public static void Main()
{
    int N = 3, X = 3;
    int[] order = { 2, 7, 4 };
    printOrder(order, N, X);
}
}
 
// This code is contributed by code_hunt.

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Output: 

1 3 2

 

Time Complexity: O(N)
Auxiliary Space: O(N)
 

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