Last Updated : 26 Feb, 2023
Problem - Givens Two number N and K, our task is to subtract a number K from N until number(N) is greater than zero, once the N becomes negative or zero then we start adding K until that number become the original number(N).
Note : Not allow to use any loop.
Examples :
Input : N = 15 K = 5 Output : 15 10 5 0 1 5 10 15 Input : N = 20 K = 6 Output : 20 14 8 2 -4 2 8 14 20
Explanation - We can do it using recursion idea is that we call the function again and again until N is greater than zero (in every function call we subtract N by K). Once the number becomes negative or zero we start adding K in every function call until the number becomes the original number. Here we use a single function for both addition and subtraction but to switch between addition or subtraction function we used a Boolean flag.
// C++ program to Print Number
// series without using loop
#include <iostream>
using namespace std;
// function print series
// using recursion
void PrintNumber(int N, int Original, int K, bool flag)
{
// print the number
cout << N << " ";
// change flag if number
// become negative
if (N <= 0)
flag = !flag;
// base condition for
// second_case (Adding K)
if (N == Original && !flag)
return;
// if flag is true
// we subtract value until
// number is greater than zero
if (flag == true) {
PrintNumber(N - K, Original, K, flag);
return;
}
// second case (Addition )
if (!flag) {
PrintNumber(N + K, Original, K, flag);
return;
}
}
// driver program
int main()
{
int N = 20, K = 6;
PrintNumber(N, N, K, true);
return 0;
}
Java
// Java program to Print Number
// series without using loop
import java.io.*;
import java.util.*;
class GFG
{
public static void PrintNumber(int N, int Original, int K, boolean flag)
{
// print the number
System.out.print(N + " ");
// change flag if number
// become negative
if (N <= 0)
flag = !flag;
// base condition for
// second_case (Adding K)
if (N == Original && !flag)
return;
// if flag is true
// we subtract value until
// number is greater than zero
if (flag == true)
{
PrintNumber(N - K, Original, K, flag);
return;
}
// second case (Addition )
if (!flag)
{
PrintNumber(N + K, Original, K, flag);
return;
}
}
public static void main (String[] args)
{
int N = 20, K = 6;
PrintNumber(N, N, K, true);
}
}
// This code is contributed by Mohit Gupta_OMG
Python3
# Python program to Print Number
# series without using loop
def PrintNumber(N, Original, K, flag):
#print the number
print(N, end = " ")
# change flag if number
# become negative
if (N <= 0):
if(flag==0):
flag = 1
else:
flag = 0
# base condition for
# second_case (Adding K)
if (N == Original and (not(flag))):
return
# if flag is true
# we subtract value until
# number is greater than zero
if (flag == True):
PrintNumber(N - K, Original, K, flag)
return
# second case (Addition )
if (not(flag)):
PrintNumber(N + K, Original, K, flag);
return
N = 20
K = 6
PrintNumber(N, N, K, True)
# This code is contributed by Mohit Gupta_OMG
C#
// C# program to Print Number
// series without using loop
using System;
public class GFG {
// function print series
// using recursion
static void PrintNumber(int N,
int Original, int K, bool flag)
{
// print the number
Console.Write(N + " ");
// change flag if number
// become negative
if (N <= 0)
flag = !flag;
// base condition for
// second_case (Adding K)
if (N == Original && !flag)
return;
// if flag is true
// we subtract value until
// number is greater than zero
if (flag == true)
{
PrintNumber(N - K, Original, K,
flag);
return;
}
// second case (Addition )
if (!flag)
{
PrintNumber(N + K, Original, K,
flag);
return;
}
}
// driver program
static public void Main ()
{
int N = 20, K = 6;
PrintNumber(N, N, K, true);
}
}
// This code is contributed by vt_m.
PHP
<?php
// PHP program to Print Number
// series without using loop
// function print series
// using recursion
function PrintNumber($N, $Original,
$K, $flag)
{
// print the number
echo($N . " ");
// change flag if number
// become negative
if ($N <= 0)
$flag = !$flag;
// base condition for
// second_case (Adding K)
if ($N == $Original && !$flag)
return;
// if flag is true
// we subtract value until
// number is greater than zero
if ($flag == true) {
PrintNumber($N - $K, $Original,
$K, $flag);
return;
}
// second case (Addition )
if (!$flag) {
PrintNumber($N + $K, $Original,
$K, $flag);
return;
}
}
// Driver Code
$N = 20; $K = 6;
PrintNumber($N, $N, $K, true);
// This code is contributed by Ajit.
?>
JavaScript
<script>
// Javascript program to Print Number
// series without using loop
// function print series
// using recursion
function PrintNumber(N, Original,
K, flag)
{
// print the number
document.write(N + " ");
// change flag if number
// become negative
if (N <= 0)
flag = !flag;
// base condition for
// second_case (Adding K)
if (N == Original && !flag)
return;
// if flag is true
// we subtract value until
// number is greater than zero
if (flag == true) {
PrintNumber(N - K, Original,
K, flag);
return;
}
// second case (Addition )
if (!flag) {
PrintNumber(N + K, Original,
K, flag);
return;
}
}
// Driver Code
let N = 20, K = 6;
PrintNumber(N, N, K, true);
// This code is contributed by _saurabh_jaiswal
</script>
20 14 8 2 -4 2 8 14 20
Time complexity: O(N/K)
Auxiliary space: O(N/K)
The extra space is used in recursion call stack.
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