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Find all subsequences whose product is less than k in array

Here given code implementation process.

// C Program
// Find all subsequences whose product is less than k in array
#include <stdio.h>

void subSequences(int arr[], 
  int result[], 
    int start, 
      int count, 
        int product, 
          int n, 
            int k)
{
	if (product <= k)
	{
		for (int i = 0; i < count; ++i)
		{
			printf(" %d", result[i]);
		}
		printf("\n");
	}
	if (count >= n)
	{
		return;
	}
	else
	{
		for (int i = start + 1; i <= n; ++i)
		{
			// Collect elements 
			result[count] = i;
			subSequences(arr, result, i, 
                         count + 1, product *i, n, k);
		}
	}
}
// Handles the request to find resultant subsequences
void findProductSequence(int arr[], int n, int k)
{
	// Auxiliary array which is collect result
	int result[n];
	subSequences(arr, result, 0, 0, 1, n, k);
}
int main()
{
	int arr[] = {
		1 , 2 , 3 , 4
	};
	int n = sizeof(arr) / sizeof(arr[0]);
	// Product
	int k = 6;
	// Test
	//  
	findProductSequence(arr, n, k);
	return 0;
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
// Java program for
// Find all subsequences whose product is less than k in array
public class Combination
{
	public void subSequences(int[] arr, 
    int[] result, 
    int start, 
    int count, 
    int product, 
    int n, 
    int k)
	{
		if (product <= k)
		{
			for (int i = 0; i < count; ++i)
			{
				System.out.print(" " + result[i]);
			}
			System.out.print("\n");
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			for (int i = start + 1; i <= n; ++i)
			{
				// Collect elements 
				result[count] = i;
				subSequences(arr, result, i, 
                             count + 1, 
                             product * i, 
                             n, k);
			}
		}
	}
	// Handles the request to find resultant subsequences
	public void findProductSequence(int[] arr, int n, int k)
	{
		// Auxiliary array which is collect result
		int[] result = new int[n];
		subSequences(arr, result, 0, 0, 1, n, k);
	}
	public static void main(String[] args)
	{
		Combination task = new Combination();
		int[] arr = {
			1 , 2 , 3 , 4
		};
		int n = arr.length;
		// Product
		int k = 6;
		// Test 
		task.findProductSequence(arr, n, k);
	}
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
// Include header file
#include <iostream>

using namespace std;
// C++ program for
// Find all subsequences whose product is less than k in array
class Combination
{
	public: void subSequences(
      	int arr[], 
      int result[], 
        int start, 
          int count, 
            int product, 
              int n, 
                int k)
	{
		if (product <= k)
		{
			for (int i = 0; i < count; ++i)
			{
				cout << " " << result[i];
			}
			cout << "\n";
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			for (int i = start + 1; i <= n; ++i)
			{
				// Collect elements 
				result[count] = i;
				this->subSequences(arr, result, 
                                   i, count + 1, 
                                   product *i, 
                                   n, k);
			}
		}
	}
	// Handles the request to find resultant subsequences
	void findProductSequence(int arr[], int n, int k)
	{
		// Auxiliary array which is collect result
		int result[n];
		this->subSequences(arr, result, 0, 0, 1, n, k);
	}
};
int main()
{
	Combination *task = new Combination();
	int arr[] = {
		1 , 2 , 3 , 4
	};
	int n = sizeof(arr) / sizeof(arr[0]);
	// Product
	int k = 6;
	// Test 
	task->findProductSequence(arr, n, k);
	return 0;
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
// Include namespace system
using System;
// Csharp program for
// Find all subsequences whose product is less than k in array
public class Combination
{
	public void subSequences(
    int[] arr, 
    int[] result, 
    int start, 
    int count, 
    int product, 
    int n, 
    int k)
	{
		if (product <= k)
		{
			for (int i = 0; i < count; ++i)
			{
				Console.Write(" " + result[i]);
			}
			Console.Write("\n");
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			for (int i = start + 1; i <= n; ++i)
			{
				// Collect elements 
				result[count] = i;
				this.subSequences(arr, result, 
                                  i, count + 1, 
                                  product * i, 
                                  n, 
                                  k);
			}
		}
	}
	// Handles the request to find resultant subsequences
	public void findProductSequence(int[] arr, int n, int k)
	{
		// Auxiliary array which is collect result
		int[] result = new int[n];
		this.subSequences(arr, result, 0, 0, 1, n, k);
	}
	public static void Main(String[] args)
	{
		Combination task = new Combination();
		int[] arr = {
			1 , 2 , 3 , 4
		};
		int n = arr.Length;
		// Product
		int k = 6;
		// Test 
		task.findProductSequence(arr, n, k);
	}
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
package main
import "fmt"
// Go program for
// Find all subsequences whose product is less than k in array
type Combination struct {}
func getCombination() * Combination {
	var me *Combination = &Combination {}
	return me
}
func(this Combination) subSequences(arr[] int, 
	result[] int, 
	start int, 
	count int, 
	product int, 
	n int, 
	k int) {
	if product <= k {
		for i := 0 ; i < count ; i++ {
			fmt.Print(" ", result[i])
		}
		fmt.Print("\n")
	}
	if count >= n {
		return
	} else {
		for i := start + 1 ; i <= n ; i++ {
			// Collect elements 
			result[count] = i
			this.subSequences(arr, result, 
				i, count + 1, 
				product * i, n, k)
		}
	}
}
// Handles the request to find resultant subsequences
func(this Combination) findProductSequence(arr[] int, 
	n int, k int) {
	// Auxiliary array which is collect result
	var result = make([] int, n)
	this.subSequences(arr, result, 0, 0, 1, n, k)
}
func main() {
	var task * Combination = getCombination()
	var arr = [] int {
		1,
		2,
		3,
		4,
	}
	var n int = len(arr)
	// Product
	var k int = 6
	// Test 
	task.findProductSequence(arr, n, k)
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
<?php
// Php program for
// Find all subsequences whose product is less than k in array
class Combination
{
	public	function subSequences($arr, 
                                   $result, 
                                   $start, 
                                   $count, 
                                   $product, 
                                   $n, 
                                   $k)
	{
		if ($product <= $k)
		{
			for ($i = 0; $i < $count; ++$i)
			{
				echo(" ".$result[$i]);
			}
			echo("\n");
		}
		if ($count >= $n)
		{
			return;
		}
		else
		{
			for ($i = $start + 1; $i <= $n; ++$i)
			{
				// Collect elements 
				$result[$count] = $i;
				$this->subSequences($arr, 
                                    $result, 
                                    $i, 
                                    $count + 1, 
                                    $product * $i,
                                    $n, 
                                    $k);
			}
		}
	}
	// Handles the request to find resultant subsequences
	public	function findProductSequence($arr, $n, $k)
	{
		// Auxiliary array which is collect result
		$result = array_fill(0, $n, 0);
		$this->subSequences($arr, $result, 0, 0, 1, $n, $k);
	}
}

function main()
{
	$task = new Combination();
	$arr = array(1, 2, 3, 4);
	$n = count($arr);
	// Product
	$k = 6;
	// Test 
	$task->findProductSequence($arr, $n, $k);
}
main();

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
// Node JS program for
// Find all subsequences whose product is less than k in array
class Combination
{
	subSequences(arr, result, start, count, product, n, k)
	{
		if (product <= k)
		{
			for (var i = 0; i < count; ++i)
			{
				process.stdout.write(" " + result[i]);
			}
			process.stdout.write("\n");
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			for (var i = start + 1; i <= n; ++i)
			{
				// Collect elements 
				result[count] = i;
				this.subSequences(arr, result, i, 
                                  count + 1, 
                                  product * i, 
                                  n, k);
			}
		}
	}
	// Handles the request to find resultant subsequences
	findProductSequence(arr, n, k)
	{
		// Auxiliary array which is collect result
		var result = Array(n).fill(0);
		this.subSequences(arr, result, 0, 0, 1, n, k);
	}
}

function main()
{
	var task = new Combination();
	var arr = [1, 2, 3, 4];
	var n = arr.length;
	// Product
	var k = 6;
	// Test 
	task.findProductSequence(arr, n, k);
}
main();

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
#  Python 3 program for
#  Find all subsequences whose product is less than k in array
class Combination :
	def subSequences(self, arr, result, start, 
                     count, product, n, k) :
		if (product <= k) :
			i = 0
			while (i < count) :
				print(" ", result[i], end = "")
				i += 1
			
			print(end = "\n")
		
		if (count >= n) :
			return
		else :
			i = start + 1
			while (i <= n) :
				#  Collect elements 
				result[count] = i
				self.subSequences(arr, result, i, 
                                  count + 1, 
                                  product * i, n, k)
				i += 1
			
		
	
	#  Handles the request to find resultant subsequences
	def findProductSequence(self, arr, n, k) :
		#  Auxiliary list which is collect result
		result = [0] * (n)
		self.subSequences(arr, result, 0, 0, 1, n, k)
	

def main() :
	task = Combination()
	arr = [1, 2, 3, 4]
	n = len(arr)
	#  Product
	k = 6
	#  Test 
	task.findProductSequence(arr, n, k)

if __name__ == "__main__": main()

Output

  1
  1  2
  1  2  3
  1  3
  1  4
  2
  2  3
  3
  4
#  Ruby program for
#  Find all subsequences whose product is less than k in array
class Combination 
	def subSequences(arr, result, start, 
                     count, product, n, k) 
		if (product <= k) 
			i = 0
			while (i < count) 
				print(" ", result[i])
				i += 1
			end

			print("\n")
		end

		if (count >= n) 
			return
		else
 
			i = start + 1
			while (i <= n) 
				#  Collect elements 
				result[count] = i
				self.subSequences(arr, result, 
                                  i, count + 1, 
                                  product * i, n, k)
				i += 1
			end

		end

	end

	#  Handles the request to find resultant subsequences
	def findProductSequence(arr, n, k) 
		#  Auxiliary array which is collect result
		result = Array.new(n) {0}
		self.subSequences(arr, result, 0, 0, 1, n, k)
	end

end

def main() 
	task = Combination.new()
	arr = [1, 2, 3, 4]
	n = arr.length
	#  Product
	k = 6
	#  Test 
	task.findProductSequence(arr, n, k)
end

main()

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4

// Scala program for
// Find all subsequences whose product is less than k in array
class Combination()
{
	def subSequences(arr: Array[Int], 
      result: Array[Int], 
        start: Int, 
          count: Int, 
            product: Int, 
              n: Int, 
                k: Int): Unit = {
		if (product <= k)
		{
			var i: Int = 0;
			while (i < count)
			{
				print(" " + result(i));
				i += 1;
			}
			print("\n");
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			var i: Int = start + 1;
			while (i <= n)
			{
				// Collect elements 
				result(count) = i;
				subSequences(arr, result, i, 
                             count + 1, 
                             product * i, n, k);
				i += 1;
			}
		}
	}
	// Handles the request to find resultant subsequences
	def findProductSequence(arr: Array[Int], 
      			n: Int, k: Int): Unit = {
		// Auxiliary array which is collect result
		var result: Array[Int] = Array.fill[Int](n)(0);
		subSequences(arr, result, 0, 0, 1, n, k);
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Combination = new Combination();
		var arr: Array[Int] = Array(1, 2, 3, 4);
		var n: Int = arr.length;
		// Product
		var k: Int = 6;
		// Test 
		task.findProductSequence(arr, n, k);
	}
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
import Foundation;
// Swift 4 program for
// Find all subsequences whose product is less than k in array
class Combination
{
	func subSequences(_ arr: [Int], 
  	  _ result: inout[Int], _ start: Int, 
  	  _ count: Int, _ product: Int, 
      _ n: Int, _ k: Int)
	{
		if (product <= k)
		{
			var i: Int = 0;
			while (i < count)
			{
				print(" ", result[i], terminator: "");
				i += 1;
			}
			print(terminator: "\n");
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			var i: Int = start + 1;
			while (i <= n)
			{
				// Collect elements 
				result[count] = i;
				self.subSequences(arr, &result, 
                                  i, count + 1, 
                                  product * i, 
                                  n, k);
				i += 1;
			}
		}
	}
	// Handles the request to find resultant subsequences
	func findProductSequence(_ arr: [Int], _ n: Int, _ k: Int)
	{
		// Auxiliary array which is collect result
		var result: [Int] = Array(repeating: 0, count: n);
		self.subSequences(arr, &result, 0, 0, 1, n, k);
	}
}
func main()
{
	let task: Combination = Combination();
	let arr: [Int] = [1, 2, 3, 4];
	let n: Int = arr.count;
	// Product
	let k: Int = 6;
	// Test 
	task.findProductSequence(arr, n, k);
}
main();

Output

  1
  1  2
  1  2  3
  1  3
  1  4
  2
  2  3
  3
  4
// Kotlin program for
// Find all subsequences whose product is less than k in array
class Combination
{
	fun subSequences(arr: Array < Int > , 
                      result: Array < Int > , 
                      start: Int, count: Int, 
                      product: Int, 
                      n: Int, 
                      k: Int): Unit
	{
		if (product <= k)
		{
			var i: Int = 0;
			while (i < count)
			{
				print(" " + result[i]);
				i += 1;
			}
			print("\n");
		}
		if (count >= n)
		{
			return;
		}
		else
		{
			var i: Int = start + 1;
			while (i <= n)
			{
				// Collect elements 
				result[count] = i;
				this.subSequences(arr, 
                                  result, i, 
                                  count + 1, 
                                  product * i,
                                  n, 
                                  k);
				i += 1;
			}
		}
	}
	// Handles the request to find resultant subsequences
	fun findProductSequence(arr: Array < Int > , 
                            n: Int, k: Int): Unit
	{
		// Auxiliary array which is collect result
		var result: Array < Int > = Array(n)
		{
			0
		};
		this.subSequences(arr, result, 0, 0, 1, n, k);
	}
}
fun main(args: Array < String > ): Unit
{
	val task: Combination = Combination();
	val arr: Array < Int > = arrayOf(1, 2, 3, 4);
	val n: Int = arr.count();
	// Product
	val k: Int = 6;
	// Test 
	task.findProductSequence(arr, n, k);
}

Output

 1
 1 2
 1 2 3
 1 3
 1 4
 2
 2 3
 3
 4
Last updated on by Kalkicode




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