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Find longest length subsequence of given sum

Here given code implementation process.

// C program 
// Find longest length subsequence of given sum

#include <stdio.h>
#include <stdlib.h>

struct MyStack
{
    int element;
    
    struct MyStack *next;
};

//Add node at top of stack
void push(struct MyStack**top,int data)
{
    //Make a new node
    struct MyStack *new_node = (struct MyStack * ) malloc(sizeof(struct MyStack));

    if (new_node != NULL)
    {
        //Set node values
        new_node->element = data;
        new_node->next    = *top;

        *top = new_node;
    }
    else
    {
        printf("Memory Overflow\n");
    }
}
// Remove top element
void pop(struct MyStack**top)
{
   if(*top != NULL)
   {
        struct MyStack*temp = *top;

        *top = temp->next;

        free(temp);

        temp = NULL;
   }
}
// Print collection elements
void display(int collection[],int size)
{

    for (int i = 0; i < size; ++i)
    {
        printf(" %d ",collection[i]);
    }
    printf("\n");
}

//Check whether the stack contains more elements than the previous result
int is_new_result(struct MyStack*top,int length)
{

    struct MyStack*temp = top;

    int counter = 0;

    //Count the stack element until it's less than previous result
    while(temp != NULL && counter <= length )
    {
        counter++;

        temp = temp->next;
    }

    if(counter > length)
    {
        // When we get new result
        return 1;
    }
    else
    {
        return 0;
    }

}

//Find Longest subsequence of given sum
void sum_subsequence(int collection[],struct MyStack**top,int output[], int *capacity,int location,int sum,int k)
{

    if(location==-1)
    {
        return;
    }
    else
    {
        
        sum_subsequence(collection,top,output,capacity,location-1,sum,k);

        //Add element into stack
        push(top,collection[location]);
        
        if(sum == k + collection[location])
        {
            // When subsequence sum is equal to given sum
            if(*top != NULL)
            {
                if(is_new_result(*top,*capacity) == 1)
                {
                    // Get new solution

                    int length = 0;

                    struct MyStack *temp = *top;
                    
                    // Collects new solution
                    while(temp != NULL)
                    {
                        output[length] = temp->element;

                        temp = temp->next;

                        length++;
                    }

                    // Update new length
                    *capacity = length;
                }
            }
            
           
        }
        sum_subsequence(collection,top,output,capacity,location-1,sum,k + collection[location]);
        //Remove a top element
        pop(top);
        
    }
}

// Handles the request to find longest length sum
void subsequences(int collection[],int size,int sum)
{
   
    if(size <= 0 )
    {
      
        return;
    }

    struct MyStack*top = NULL;

    int output[size];

    int capacity = 0;
  
    printf("\n Given collection \n");
    
    display(collection,size);

    sum_subsequence(collection,&top,output,&capacity,size-1,sum,0);

    if(capacity > 0)
    {
        printf("\n Longest subsequences of sum %d are \n",sum);

        display(output,capacity);
    }
    else
    {
         printf("\n Subsequences of sum %d are not exist \n",sum);
    }

    
}

int main()
{
   
    int arr[] = { 5, 7 , 2, 3, 4 , 9, 1, -4,10};

    //Get the size
    int size = sizeof(arr)/sizeof(arr[0]);

    int sum = 10;

    
    // [ 5  2  3  4  -4 ]
    // or
    // [ 7  2  4  1  -4 ] 
    subsequences(arr,size,sum);


    return 0;
}

Output

 Given collection
 5  7  2  3  4  9  1  -4  10

 Longest subsequences of sum 10 are
 5  2  3  4  -4
/* 
  Java program 
  Find longest length subsequence of given sum
*/
//Stack Node
class Node
{
	public int data;
	public Node next;
	public Node(int data)
	{
		this.data = data;
		this.next = null;
	}
}
//Define custom stack and its operation
class MyStack
{
	public Node top;
	public int length;
	public MyStack()
	{
		this.top = null;
		this.length = 0;
	}
	//Add a new element in stack
	public void push(int data)
	{
		//Make a new stack node
		Node new_node = new Node(data);
		if (new_node != null)
		{
			new_node.next = this.top;
			this.top = new_node;
			this.length++;
		}
		else
		{
			System.out.print("Memory overflow\n");
		}
	}
	//remove a top element in stack
	public void pop()
	{
		if (this.top != null)
		{
			this.top = this.top.next;
			this.length--;
		}
	}
	//check that whether stack is empty or not
	public boolean is_empty()
	{
		if (this.top != null)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	public int is_size()
	{
		return this.length;
	}
	//Used to get top element of stack
	public int peek()
	{
		if (this.top != null)
		{
			return this.top.data;
		}
		else
		{
			return 0;
		}
	}
}
class Subsequence
{
	public MyStack stack;
	public int result;
	public Subsequence()
	{
		stack = new MyStack();
		this.result = 0;
	}
	// Display given array elements
	public void display(int[] collection, int size)
	{
		for (int i = 0; i < size; ++i)
		{
			System.out.print(" " + collection[i] + " ");
		}
	}
	//Find Longest subsequence of given sum
	public void sum_subsequence(int[] collection, int[] output, int location, int sum, int k)
	{
		if (location == -1)
		{
			return;
		}
		else
		{
			sum_subsequence(collection, output, location - 1, sum, k);
			//Add element into stack
			this.stack.push(collection[location]);
			if (sum == k + collection[location])
			{
				// When subsequence sum is equal to given sum
				if (this.stack.is_empty() == false)
				{
					if (this.stack.length > this.result)
					{
						// Get new solution
						int length = 0;
						// Get top element of stack
						Node temp = this.stack.top;
						// Collects new solution
						while (temp != null)
						{
							output[length] = temp.data;
							//visit to next node
							temp = temp.next;
							length++;
						}
						// Update new length
						this.result = this.stack.length;
					}
				}
			}
			sum_subsequence(collection, output, location - 1, sum, k + collection[location]);
			//Remove a top element
			this.stack.pop();
		}
	}
	// Handles the request to find longest length sum
	public void subsequences(int[] collection, int size, int sum)
	{
		if (size <= 0)
		{
			return;
		}
		// Used to collect result
		int[] output = new int[size];
		this.result = 0;
		// Display given collection elements
		System.out.print("\n Given collection \n");
		display(collection, size);
		sum_subsequence(collection, output, size - 1, sum, 0);
		if (this.result > 0)
		{
			System.out.print("\n Longest subsequences of sum " + sum + " are \n");
			display(output, this.result);
		}
		else
		{
			System.out.print("\n Subsequences of sum " + sum + " are not exist \n");
		}
	}
	public static void main(String[] args)
	{
		Subsequence obj = new Subsequence();
		int[] collection = {
			5 , 7 , 2 , 3 , 4 , 9 , 1 , -4 , 10
		};
		//Get the size
		int size = collection.length;
		obj.subsequences(collection, size,10);
	}
}

Output

 Given collection
 5  7  2  3  4  9  1  -4  10
 Longest subsequences of sum 10 are
 5  2  3  4  -4
//Include header file
#include <iostream>
using namespace std;

/*
  C++ program 
  Find longest length subsequence of given sum
*/

//Stack Node
class Node
{
	public: 
    int data;
	Node *next;
	Node(int data)
	{
		this->data = data;
		this->next = NULL;
	}
};
//Define custom stack and its operation
class MyStack
{
	public: Node *top;
	int length;
	MyStack()
	{
		this->top = NULL;
		this->length = 0;
	}
	//Add a new element in stack
	void push(int data)
	{
		//Make a new stack node
		Node *new_node = new Node(data);
		if (new_node != NULL)
		{
			new_node->next = this->top;
			this->top = new_node;
			this->length++;
		}
		else
		{
			cout << "Memory overflow\n";
		}
	}
	//remove a top element in stack
	void pop()
	{
		if (this->top != NULL)
		{
			this->top = this->top->next;
			this->length--;
		}
	}
	//check that whether stack is empty or not
	bool is_empty()
	{
		if (this->top != NULL)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	int is_size()
	{
		return this->length;
	}
	//Used to get top element of stack
	int peek()
	{
		if (this->top != NULL)
		{
			return this->top->data;
		}
		else
		{
			return 0;
		}
	}
};
class Subsequence
{
	public: MyStack *stack;
	int result;
	Subsequence()
	{
		this->stack = new MyStack();
		this->result = 0;
	}
	// Display given array elements
	void display(int collection[], int size)
	{
		for (int i = 0; i < size; ++i)
		{
			cout << " " << collection[i] << " ";
		}
	}
	//Find Longest subsequence of given sum
	void sum_subsequence(int collection[], int output[], int location, int sum, int k)
	{
		if (location == -1)
		{
			return;
		}
		else
		{
			this->sum_subsequence(collection, output, location - 1, sum, k);
			//Add element into stack
			this->stack->push(collection[location]);
			if (sum == k + collection[location])
			{
				// When subsequence sum is equal to given sum
				if (this->stack->is_empty() == false)
				{
					if (this->stack->length > this->result)
					{
						// Get new solution
						int length = 0;
						// Get top element of stack
						Node *temp = this->stack->top;
						// Collects new solution
						while (temp != NULL)
						{
							output[length] = temp->data;
							//visit to next node
							temp = temp->next;
							length++;
						}
						// Update new length
						this->result = this->stack->length;
					}
				}
			}
			this->sum_subsequence(collection, output, location - 1, sum, k + collection[location]);
			//Remove a top element
			this->stack->pop();
		}
	}
	// Handles the request to find longest length sum
	void subsequences(int collection[], int size, int sum)
	{
		if (size <= 0)
		{
			return;
		}
		// Used to collect result
		int output[size];
		this->result = 0;
		// Display given collection elements
		cout << "\n Given collection \n";
		this->display(collection, size);
		this->sum_subsequence(collection, output, size - 1, sum, 0);
		if (this->result > 0)
		{
			cout << "\n Longest subsequences of sum " << sum << " are \n";
			this->display(output, this->result);
		}
		else
		{
			cout << "\n Subsequences of sum " << sum << " are not exist \n";
		}
	}
};
int main()
{
	Subsequence obj = Subsequence();
	int collection[] = {
		5 , 7 , 2 , 3 , 4 , 9 , 1 , -4 , 10
	};
	//Get the size
	int size = sizeof(collection) / sizeof(collection[0]);
	// [ 5  2  3  4  -4 ]
	// or
	// [ 7  2  4  1  -4 ] 
	obj.subsequences(collection, size, 10);
	return 0;
}

Output

 Given collection
 5  7  2  3  4  9  1  -4  10
 Longest subsequences of sum 10 are
 5  2  3  4  -4
//Include namespace system
using System;

/* 
  C# program 
  Find longest length subsequence of given sum
*/

//Stack Node
class Node
{
	public int data;
	public Node next;
	public Node(int data)
	{
		this.data = data;
		this.next = null;
	}
}
//Define custom stack and its operation
class MyStack
{
	public Node top;
	public int length;
	public MyStack()
	{
		this.top = null;
		this.length = 0;
	}
	//Add a new element in stack
	public void push(int data)
	{
		//Make a new stack node
		Node new_node = new Node(data);
		if (new_node != null)
		{
			new_node.next = this.top;
			this.top = new_node;
			this.length++;
		}
		else
		{
			Console.Write("Memory overflow\n");
		}
	}
	//remove a top element in stack
	public void pop()
	{
		if (this.top != null)
		{
			this.top = this.top.next;
			this.length--;
		}
	}
	//check that whether stack is empty or not
	public Boolean is_empty()
	{
		if (this.top != null)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	public int is_size()
	{
		return this.length;
	}
	//Used to get top element of stack
	public int peek()
	{
		if (this.top != null)
		{
			return this.top.data;
		}
		else
		{
			return 0;
		}
	}
}
class Subsequence
{
	public MyStack stack;
	public int result;
	public Subsequence()
	{
		stack = new MyStack();
		this.result = 0;
	}
	// Display given array elements
	public void display(int[] collection, int size)
	{
		for (int i = 0; i < size; ++i)
		{
			Console.Write(" " + collection[i] + " ");
		}
	}
	//Find Longest subsequence of given sum
	public void sum_subsequence(int[] collection, int[] output, int location, int sum, int k)
	{
		if (location == -1)
		{
			return;
		}
		else
		{
			sum_subsequence(collection, output, location - 1, sum, k);
			//Add element into stack
			this.stack.push(collection[location]);
			if (sum == k + collection[location])
			{
				// When subsequence sum is equal to given sum
				if (this.stack.is_empty() == false)
				{
					if (this.stack.length > this.result)
					{
						// Get new solution
						int length = 0;
						// Get top element of stack
						Node temp = this.stack.top;
						// Collects new solution
						while (temp != null)
						{
							output[length] = temp.data;
							//visit to next node
							temp = temp.next;
							length++;
						}
						// Update new length
						this.result = this.stack.length;
					}
				}
			}
			sum_subsequence(collection, output, location - 1, sum, k + collection[location]);
			//Remove a top element
			this.stack.pop();
		}
	}
	// Handles the request to find longest length sum
	public void subsequences(int[] collection, int size, int sum)
	{
		if (size <= 0)
		{
			return;
		}
		// Used to collect result
		int[] output = new int[size];
		this.result = 0;
		// Display given collection elements
		Console.Write("\n Given collection \n");
		display(collection, size);
		sum_subsequence(collection, output, size - 1, sum, 0);
		if (this.result > 0)
		{
			Console.Write("\n Longest subsequences of sum " + sum + " are \n");
			display(output, this.result);
		}
		else
		{
			Console.Write("\n Subsequences of sum " + sum + " are not exist \n");
		}
	}
	public static void Main(String[] args)
	{
		Subsequence obj = new Subsequence();
		int[] collection = {
			5 , 7 , 2 , 3 , 4 , 9 , 1 , -4 , 10
		};
		//Get the size
		int size = collection.Length;
		// [ 5  2  3  4  -4 ]
		// or
		// [ 7  2  4  1  -4 ] 
		obj.subsequences(collection, size, 10);
	}
}

Output

 Given collection
 5  7  2  3  4  9  1  -4  10
 Longest subsequences of sum 10 are
 5  2  3  4  -4
<?php
/* 
  Php program 
  Find longest length subsequence of given sum
*/

//Stack Node
class Node
{
	public $data;
	public $next;

	function __construct($data)
	{
		$this->data = $data;
		$this->next = null;
	}
}

//Define custom stack and its operation
class MyStack
{
	public $top;
	public $length;

	function __construct()
	{
		$this->top = null;
		$this->length = 0;
	}
	//Add a new element in stack
	public	function push($data)
	{
		//Make a new stack node
		$new_node = new Node($data);
		if ($new_node != null)
		{
			$new_node->next = $this->top;
			$this->top = $new_node;
			$this->length++;
		}
		else
		{
			echo "Memory overflow\n";
		}
	}
	//remove a top element in stack
	public	function pop()
	{
		if ($this->top != null)
		{
			$this->top = $this->top->next;
			$this->length--;
		}
	}
	//check that whether stack is empty or not
	public	function is_empty()
	{
		if ($this->top != null)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	public	function is_size()
	{
		return $this->length;
	}
	//Used to get top element of stack
	public	function peek()
	{
		if ($this->top != null)
		{
			return $this->top->data;
		}
		else
		{
			return 0;
		}
	}
}
class Subsequence
{
	public $stack;
	public $result;

	function __construct()
	{
		$this->stack = new MyStack();
		$this->result = 0;
	}
	// Display given array elements
	public	function display( & $collection, $size)
	{
		for ($i = 0; $i < $size; ++$i)
		{
			echo " ". $collection[$i] ." ";
		}
	}
	//Find Longest subsequence of given sum
	public	function sum_subsequence( & $collection, & $output, $location, $sum, $k)
	{
		if ($location == -1)
		{
			return;
		}
		else
		{
			$this->sum_subsequence($collection, $output, $location - 1, $sum, $k);
			//Add element into stack
			$this->stack->push($collection[$location]);
			if ($sum == $k + $collection[$location])
			{
				// When subsequence sum is equal to given sum
				if ($this->stack->is_empty() == false)
				{
					if ($this->stack->length > $this->result)
					{
						// Get new solution
						$length = 0;
						// Get top element of stack
						$temp = $this->stack->top;
						// Collects new solution
						while ($temp != null)
						{
							$output[$length] = $temp->data;
							//visit to next node
							$temp = $temp->next;
							$length++;
						}
						// Update new length
						$this->result = $this->stack->length;
					}
				}
			}
			$this->sum_subsequence($collection, $output, $location - 1, $sum, $k + $collection[$location]);
			//Remove a top element
			$this->stack->pop();
		}
	}
	// Handles the request to find longest length sum
	public	function subsequences( & $collection, $size, $sum)
	{
		if ($size <= 0)
		{
			return;
		}
		// Used to collect result
		$output = array_fill(0, $size, 0);
		$this->result = 0;
		// Display given collection elements
		echo "\n Given collection \n";
		$this->display($collection, $size);
		$this->sum_subsequence($collection, $output, $size - 1, $sum, 0);
		if ($this->result > 0)
		{
			echo "\n Longest subsequences of sum ". $sum ." are \n";
			$this->display($output, $this->result);
		}
		else
		{
			echo "\n Subsequences of sum ". $sum ." are not exist \n";
		}
	}
}

function main()
{
	$obj = new Subsequence();
	$collection = array(5, 7, 2, 3, 4, 9, 1, -4, 10);
	//Get the size
	$size = count($collection);
	// [ 5  2  3  4  -4 ]
	// or
	// [ 7  2  4  1  -4 ] 
	$obj->subsequences($collection, $size, 10);
}
main();

Output

 Given collection
 5  7  2  3  4  9  1  -4  10
 Longest subsequences of sum 10 are
 5  2  3  4  -4
/* 
  Node Js program 
  Find longest length subsequence of given sum
*/
//Stack Node
class Node
{
	constructor(data)
	{
		this.data = data;
		this.next = null;
	}
}
//Define custom stack and its operation
class MyStack
{
	constructor()
	{
		this.top = null;
		this.length = 0;
	}
	//Add a new element in stack
	push(data)
	{
		//Make a new stack node
		var new_node = new Node(data);
		if (new_node != null)
		{
			new_node.next = this.top;
			this.top = new_node;
			this.length++;
		}
		else
		{
			process.stdout.write("Memory overflow\n");
		}
	}
	//remove a top element in stack
	pop()
	{
		if (this.top != null)
		{
			this.top = this.top.next;
			this.length--;
		}
	}
	//check that whether stack is empty or not
	is_empty()
	{
		if (this.top != null)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	is_size()
	{
		return this.length;
	}
	//Used to get top element of stack
	peek()
	{
		if (this.top != null)
		{
			return this.top.data;
		}
		else
		{
			return 0;
		}
	}
}
class Subsequence
{
	constructor()
	{
		this.stack = new MyStack();
		this.result = 0;
	}
	// Display given array elements
	display(collection, size)
	{
		for (var i = 0; i < size; ++i)
		{
			process.stdout.write(" " + collection[i] + " ");
		}
	}
	//Find Longest subsequence of given sum
	sum_subsequence(collection, output, location, sum, k)
	{
		if (location == -1)
		{
			return;
		}
		else
		{
			this.sum_subsequence(collection, output, location - 1, sum, k);
			//Add element into stack
			this.stack.push(collection[location]);
			if (sum == k + collection[location])
			{
				// When subsequence sum is equal to given sum
				if (this.stack.is_empty() == false)
				{
					if (this.stack.length > this.result)
					{
						// Get new solution
						var length = 0;
						// Get top element of stack
						var temp = this.stack.top;
						// Collects new solution
						while (temp != null)
						{
							output[length] = temp.data;
							//visit to next node
							temp = temp.next;
							length++;
						}
						// Update new length
						this.result = this.stack.length;
					}
				}
			}
			this.sum_subsequence(collection, output, location - 1, sum, k + collection[location]);
			//Remove a top element
			this.stack.pop();
		}
	}
	// Handles the request to find longest length sum
	subsequences(collection, size, sum)
	{
		if (size <= 0)
		{
			return;
		}
		// Used to collect result
		var output = Array(size).fill(0);
		this.result = 0;
		// Display given collection elements
		process.stdout.write("\n Given collection \n");
		this.display(collection, size);
		this.sum_subsequence(collection, output, size - 1, sum, 0);
		if (this.result > 0)
		{
			process.stdout.write("\n Longest subsequences of sum " + sum + " are \n");
			this.display(output, this.result);
		}
		else
		{
			process.stdout.write("\n Subsequences of sum " + sum + " are not exist \n");
		}
	}
}

function main()
{
	var obj = new Subsequence();
	var collection = [5, 7, 2, 3, 4, 9, 1, -4, 10];
	//Get the size
	var size = collection.length;
	// [ 5  2  3  4  -4 ]
	// or
	// [ 7  2  4  1  -4 ] 
	obj.subsequences(collection, size, 10);
}
main();

Output

 Given collection
 5  7  2  3  4  9  1  -4  10
 Longest subsequences of sum 10 are
 5  2  3  4  -4
#   Python 3 program 
#   Find longest length subsequence of given sum

# Stack Node
class Node :
	
	def __init__(self, data) :
		self.data = data
		self.next = None
	

# Define custom stack and its operation
class MyStack :
	
	def __init__(self) :
		self.top = None
		self.length = 0
	
	# Add a new element in stack
	def push(self, data) :
		# Make a new stack node
		new_node = Node(data)
		if (new_node != None) :
			new_node.next = self.top
			self.top = new_node
			self.length += 1
		else :
			print("Memory overflow\n", end = "")
		
	
	# remove a top element in stack
	def pop(self) :
		if (self.top != None) :
			self.top = self.top.next
			self.length -= 1
		
	
	# check that whether stack is empty or not
	def is_empty(self) :
		if (self.top != None) :
			return False
		else :
			return True
		
	
	def is_size(self) :
		return self.length
	
	# Used to get top element of stack
	def peek(self) :
		if (self.top != None) :
			return self.top.data
		else :
			return 0
		
	

class Subsequence :
	
	def __init__(self) :
		self.stack = MyStack()
		self.result = 0
	
	#  Display given array elements
	def display(self, collection, size) :
		i = 0
		while (i < size) :
			print(" ", collection[i] ," ", end = "")
			i += 1
		
	
	# Find Longest subsequence of given sum
	def sum_subsequence(self, collection, output, location, sum, k) :
		if (location == -1) :
			return
		else :
			self.sum_subsequence(collection, output, location - 1, sum, k)
			# Add element into stack
			self.stack.push(collection[location])
			if (sum == k + collection[location]) :
				#  When subsequence sum is equal to given sum
				if (self.stack.is_empty() == False) :
					if (self.stack.length > self.result) :
						#  Get new solution
						length = 0
						#  Get top element of stack
						temp = self.stack.top
						#  Collects new solution
						while (temp != None) :
							output[length] = temp.data
							# visit to next node
							temp = temp.next
							length += 1
						
						#  Update new length
						self.result = self.stack.length
					
				
			
			self.sum_subsequence(collection, output, location - 1, sum, k + collection[location])
			# Remove a top element
			self.stack.pop()
		
	
	#  Handles the request to find longest length sum
	def subsequences(self, collection, size, sum) :
		if (size <= 0) :
			return
		
		#  Used to collect result
		output = [0] * (size)
		self.result = 0
		#  Display given collection elements
		print("\n Given collection \n", end = "")
		self.display(collection, size)
		self.sum_subsequence(collection, output, size - 1, sum, 0)
		if (self.result > 0) :
			print("\n Longest subsequences of sum ", sum ," are \n", end = "")
			self.display(output, self.result)
		else :
			print("\n Subsequences of sum ", sum ," are not exist \n", end = "")
		
	

def main() :
	obj = Subsequence()
	collection = [5, 7, 2, 3, 4, 9, 1, -4, 10]
	# Get the size
	size = len(collection)
	#  [ 5  2  3  4  -4 ]
	#  or
	#  [ 7  2  4  1  -4 ] 
	obj.subsequences(collection, size, 10)

if __name__ == "__main__": main()

Output

 Given collection
  5    7    2    3    4    9    1    -4    10
 Longest subsequences of sum  10  are
  5    2    3    4    -4
#   Ruby program 
#   Find longest length subsequence of given sum

# Stack Node
class Node  
	# Define the accessor and reader of class Node  
	attr_reader :data, :next
	attr_accessor :data, :next
 
	
	def initialize(data) 
		self.data = data
		self.next = nil
	end

end

# Define custom stack and its operation
class MyStack  
	# Define the accessor and reader of class MyStack  
	attr_reader :top, :length
	attr_accessor :top, :length
 
	
	def initialize() 
		self.top = nil
		self.length = 0
	end

	# Add a new element in stack
	def push(data) 
		# Make a new stack node
		new_node = Node.new(data)
		if (new_node != nil) 
			new_node.next = self.top
			self.top = new_node
			self.length += 1
		else 
			print("Memory overflow\n")
		end

	end

	# remove a top element in stack
	def pop() 
		if (self.top != nil) 
			self.top = self.top.next
			self.length -= 1
		end

	end

	# check that whether stack is empty or not
	def is_empty() 
		if (self.top != nil) 
			return false
		else 
			return true
		end

	end

	def is_size() 
		return self.length
	end

	# Used to get top element of stack
	def peek() 
		if (self.top != nil) 
			return self.top.data
		else 
			return 0
		end

	end

end

class Subsequence  
	# Define the accessor and reader of class Subsequence  
	attr_reader :stack, :result
	attr_accessor :stack, :result
 
	
	def initialize() 
		self.stack = MyStack.new()
		self.result = 0
	end

	#  Display given array elements
	def display(collection, size) 
		i = 0
		while (i < size) 
			print(" ", collection[i] ," ")
			i += 1
		end

	end

	# Find Longest subsequence of given sum
	def sum_subsequence(collection, output, location, sum, k) 
		if (location == -1) 
			return
		else 
			self.sum_subsequence(collection, output, location - 1, sum, k)
			# Add element into stack
			self.stack.push(collection[location])
			if (sum == k + collection[location]) 
				#  When subsequence sum is equal to given sum
				if (self.stack.is_empty() == false) 
					if (self.stack.length > self.result) 
						#  Get new solution
						length = 0
						#  Get top element of stack
						temp = self.stack.top
						#  Collects new solution
						while (temp != nil) 
							output[length] = temp.data
							# visit to next node
							temp = temp.next
							length += 1
						end

						#  Update new length
						self.result = self.stack.length
					end

				end

			end

			self.sum_subsequence(collection, output, location - 1, sum, k + collection[location])
			# Remove a top element
			self.stack.pop()
		end

	end

	#  Handles the request to find longest length sum
	def subsequences(collection, size, sum) 
		if (size <= 0) 
			return
		end

		#  Used to collect result
		output = Array.new(size) {0}
		self.result = 0
		#  Display given collection elements
		print("\n Given collection \n")
		self.display(collection, size)
		self.sum_subsequence(collection, output, size - 1, sum, 0)
		if (self.result > 0) 
			print("\n Longest subsequences of sum ", sum ," are \n")
			self.display(output, self.result)
		else 
			print("\n Subsequences of sum ", sum ," are not exist \n")
		end

	end

end

def main() 
	obj = Subsequence.new()
	collection = [5, 7, 2, 3, 4, 9, 1, -4, 10]
	# Get the size
	size = collection.length
	#  [ 5  2  3  4  -4 ]
	#  or
	#  [ 7  2  4  1  -4 ] 
	obj.subsequences(collection, size, 10)
end

main()

Output

 Given collection 
 5  7  2  3  4  9  1  -4  10 
 Longest subsequences of sum 10 are 
 5  2  3  4  -4 
/* 
  Scala program 
  Find longest length subsequence of given sum
*/

//Stack Node
class Node(var data: Int,
	var next: Node)
{
	def this(data: Int)
	{
		this(data, null);
	}
}

//Define custom stack and its operation
class MyStack(var top: Node,
	var length: Int)
{
	def this()
	{
		this(null, 0);
	}
	//Add a new element in stack
	def push(data: Int): Unit = {
		//Make a new stack node
		var new_node: Node = new Node(data);
		if (new_node != null)
		{
			new_node.next = this.top;
			this.top = new_node;
			this.length += 1;
		}
		else
		{
			print("Memory overflow\n");
		}
	}
	//remove a top element in stack
	def pop(): Unit = {
		if (this.top != null)
		{
			this.top = this.top.next;
			this.length -= 1;
		}
	}
	//check that whether stack is empty or not
	def is_empty(): Boolean = {
		if (this.top != null)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	def is_size(): Int = {
		return this.length;
	}
	//Used to get top element of stack
	def peek(): Int = {
		if (this.top != null)
		{
			return this.top.data;
		}
		else
		{
			return 0;
		}
	}
}
class Subsequence(var stack: MyStack,
	var result: Int)
{
	def this()
	{
		this(new MyStack(), 0);
	}
	// Display given array elements
	def display(collection: Array[Int], size: Int): Unit = {
		var i: Int = 0;
		while (i < size)
		{
			print(" " + collection(i) + " ");
			i += 1;
		}
	}
	//Find Longest subsequence of given sum
	def sum_subsequence(collection: Array[Int], output: Array[Int], location: Int, sum: Int, k: Int): Unit = {
		if (location == -1)
		{
			return;
		}
		else
		{
			sum_subsequence(collection, output, location - 1, sum, k);
			//Add element into stack
			this.stack.push(collection(location));
			if (sum == k + collection(location))
			{
				// When subsequence sum is equal to given sum
				if (this.stack.is_empty() == false)
				{
					if (this.stack.length > this.result)
					{
						// Get new solution
						var length: Int = 0;
						// Get top element of stack
						var temp: Node = this.stack.top;
						// Collects new solution
						while (temp != null)
						{
							output(length) = temp.data;
							//visit to next node
							temp = temp.next;
							length += 1;
						}
						// Update new length
						this.result = this.stack.length;
					}
				}
			}
			sum_subsequence(collection, output, location - 1, sum, k + collection(location));
			//Remove a top element
			this.stack.pop();
		}
	}
	// Handles the request to find longest length sum
	def subsequences(collection: Array[Int], size: Int, sum: Int): Unit = {
		if (size <= 0)
		{
			return;
		}
		// Used to collect result
		var output: Array[Int] = Array.fill[Int](size)(0);
		this.result = 0;
		// Display given collection elements
		print("\n Given collection \n");
		display(collection, size);
		sum_subsequence(collection, output, size - 1, sum, 0);
		if (this.result > 0)
		{
			print("\n Longest subsequences of sum " + sum + " are \n");
			display(output, this.result);
		}
		else
		{
			print("\n Subsequences of sum " + sum + " are not exist \n");
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var obj: Subsequence = new Subsequence();
		var collection: Array[Int] = Array(5, 7, 2, 3, 4, 9, 1, -4, 10);
		//Get the size
		var size: Int = collection.length;
		// [ 5  2  3  4  -4 ]
		// or
		// [ 7  2  4  1  -4 ] 
		obj.subsequences(collection, size, 10);
	}
}

Output

 Given collection
 5  7  2  3  4  9  1  -4  10
 Longest subsequences of sum 10 are
 5  2  3  4  -4
/* 
  Swift 4 program 
  Find longest length subsequence of given sum
*/
//Stack Node
class Node
{
	var data: Int;
	var next: Node? ;
	init(_ data: Int)
	{
		self.data = data;
		self.next = nil;
	}
}
//Define custom stack and its operation
class MyStack
{
	var top: Node? ;
	var length: Int;
	init()
	{
		self.top = nil;
		self.length = 0;
	}
	//Add a new element in stack
	func push(_ data: Int)
	{
		//Make a new stack node
		let new_node: Node? = Node(data);
		if (new_node != nil)
		{
			new_node!.next = self.top;
			self.top = new_node;
			self.length += 1;
		}
		else
		{
			print("Memory overflow\n", terminator: "");
		}
	}
	//remove a top element in stack
	func pop()
	{
		if (self.top != nil)
		{
			self.top = self.top!.next;
			self.length -= 1;
		}
	}
	//check that whether stack is empty or not
	func is_empty() -> Bool
	{
		if (self.top != nil)
		{
			return false;
		}
		else
		{
			return true;
		}
	}
	func is_size() -> Int
	{
		return self.length;
	}
	//Used to get top element of stack
	func peek() -> Int
	{
		if (self.top != nil)
		{
			return self.top!.data;
		}
		else
		{
			return 0;
		}
	}
}
class Subsequence
{
	var stack: MyStack ;
	var result: Int;
	init()
	{
		self.stack = MyStack();
		self.result = 0;
	}
	// Display given array elements
	func display(_ collection: [Int], _ size: Int)
	{
		var i: Int = 0;
		while (i < size)
		{
			print(" ", collection[i]," ", terminator: "");
			i += 1;
		}
	}
	//Find Longest subsequence of given sum
	func sum_subsequence(_ collection: [Int], _ output: inout[Int], _ location: Int, _ sum: Int, _ k: Int)
	{
		if (location == -1)
		{
			return;
		}
		else
		{
			self.sum_subsequence(collection, &output, location - 1, sum, k);
			//Add element into stack
			self.stack.push(collection[location]);
			if (sum == k + collection[location])
			{
				// When subsequence sum is equal to given sum
				if (self.stack.is_empty() == false)
				{
					if (self.stack.length > self.result)
					{
						// Get new solution
						var length: Int = 0;
						// Get top element of stack
						var temp: Node? = self.stack.top;
						// Collects new solution
						while (temp != nil)
						{
							output[length] = temp!.data;
							//visit to next node
							temp = temp!.next;
							length += 1;
						}
						// Update new length
						self.result = self.stack.length;
					}
				}
			}
			self.sum_subsequence(collection, &output, location - 1, sum, k + collection[location]);
			//Remove a top element
			self.stack.pop();
		}
	}
	// Handles the request to find longest length sum
	func subsequences(_ collection: [Int], _ size: Int, _ sum: Int)
	{
		if (size <= 0)
		{
			return;
		}
		// Used to collect result
		var output: [Int] = Array(repeating: 0, count: size);
		self.result = 0;
		// Display given collection elements
		print("\n Given collection \n", terminator: "");
		self.display(collection, size);
		self.sum_subsequence(collection, &output, size - 1, sum, 0);
		if (self.result > 0)
		{
			print("\n Longest subsequences of sum ", sum ," are \n", terminator: "");
			self.display(output, self.result);
		}
		else
		{
			print("\n Subsequences of sum ", sum ," are not exist \n", terminator: "");
		}
	}
}
func main()
{
	let obj: Subsequence = Subsequence();
	let collection: [Int] = [5, 7, 2, 3, 4, 9, 1, -4, 10];
	//Get the size
	let size: Int = collection.count;
	// [5  2  3  4  -4 ]// or
	// [7  2  4  1  -4 ]
    obj.subsequences(collection, size, 10);
}
main();

Output

 Given collection
  5    7    2    3    4    9    1    -4    10
 Longest subsequences of sum  10  are
  5    2    3    4    -4
Last updated on by Kalkicode




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