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Equal subset sum partition

Here given code implementation process.

/*
   C program for
   Equal subset sum partition
*/
#include <stdio.h>

#include <stdbool.h>
 // Display array elements
void printArray(int arr[], int n)
{
	for (int i = 0; i < n; ++i)
	{
		printf("  %d", arr[i]);
	}
	printf("\n");
}
bool partition(int arr[], int n, int sum)
{
	// Define auxiliary space which is calculate result
	bool auxiliary[n + 1][sum + 1];
	// Set default value
	for (int i = 0; i <= n; ++i)
	{
		// Set the value of first column of auxiliary is true
		auxiliary[i][0] = true;
		// Set default value of other columns
		for (int j = 1; j <= sum; ++j)
		{
			auxiliary[i][j] = false;
		}
	}
	// Outer loop
	for (int i = 1; i <= n; ++i)
	{
		// Inner loop
		for (int j = 1; j <= sum; ++j)
		{
			if (arr[i - 1] <= j)
			{
				// When i-1 element value is less than j
				// Then resultant is based on evalue of auxiliary[i-1][j] or 
				// auxiliary[i - 1][j - arr[i - 1]]
				auxiliary[i][j] = auxiliary[i - 1][j] || 
                  				auxiliary[i - 1][j - arr[i - 1]];
			}
			else
			{
				auxiliary[i][j] = auxiliary[i - 1][j];
			}
		}
	}
	// Return calculated result
	return auxiliary[n][sum];
}
void isEqualSumPartition(int arr[], int n)
{
	int sum = 0;
	// Calculate the sum of all array elements
	for (int i = 0; i < n; ++i)
	{
		sum += arr[i];
	}
	if ((sum % 2) != 0 || partition(arr, n, sum / 2) == false)
	{
		// When sum is not dividing into two equal parts
		// And its subset sum is not equal into two part
		printf("  No\n");
	}
	else
	{
		printf("  Yes\n");
	}
}
int main()
{
	int arr1[] = {
		1 , 8 , 7 , 1 , 2 , 4 , 3
	};
	int arr2[] = {
		9 , 7 , 2 , 6
	};
	// Case A
	// Get the number of elements arr1
	int n = sizeof(arr1) / sizeof(arr1[0]);
	printArray(arr1, n);
	// [8+4+1] == [7+1+3+2]
	isEqualSumPartition(arr1, n);
	// Case B
	// Get the number of elements in arr2
	n = sizeof(arr2) / sizeof(arr2[0]);
	printArray(arr2, n);
	isEqualSumPartition(arr2, n);
	return 0;
}

Output

  1  8  7  1  2  4  3
  Yes
  9  7  2  6
  No
/*
    Java program
    Equal subset sum partition
*/
public class EqualSubset
{
    // Display array elements
    public void printArray(int[] arr, int n)
    {
        for (int i = 0; i < n; ++i)
        {
            System.out.print(" " + arr[i] );
        }
        System.out.print("\n");
    }
    public boolean partition(int[] arr, int n, int sum)
    {
        // Define auxiliary space which is calculate result
        boolean[][] auxiliary = new boolean[n + 1][sum + 1];
        // Set default value
        for (int i = 0; i <= n; ++i)
        {
            // Set the value of first column of auxiliary is true
            auxiliary[i][0] = true;
            // Set default value of other columns
            for (int j = 1; j <= sum; ++j)
            {
                auxiliary[i][j] = false;
            }
        }
        // Outer loop
        for (int i = 1; i <= n; ++i)
        {
            // Inner loop
            for (int j = 1; j <= sum; ++j)
            {
                if (arr[i - 1] <= j)
                {
                    // When i-1 element value is less than j
                    // Then resultant is based on evalue of auxiliary[i-1][j] or 
                    // auxiliary[i - 1][j - arr[i - 1]]
                    auxiliary[i][j] = auxiliary[i - 1][j] || 
                                auxiliary[i - 1][j - arr[i - 1]];
                }
                else
                {
                    auxiliary[i][j] = auxiliary[i - 1][j];
                }
            }
        }
        // Return calculated result
        return auxiliary[n][sum];
    }
    public void isEqualSumPartition(int[] arr, int n)
    {
        int sum = 0;
        // Calculate the sum of all array elements
        for (int i = 0; i < n; ++i)
        {
            sum += arr[i];
        }
        if ((sum % 2) != 0 || partition(arr, n, sum / 2) == false)
        {
            // When sum is not dividing into two equal parts
            // And its subset sum is not equal into two part
            System.out.print(" No\n");
        }
        else
        {
            System.out.print(" Yes\n");
        }
    }
    public static void main(String[] args)
    {
        EqualSubset task = new EqualSubset();

        int[] arr1 =  {
            1 , 8 , 7 , 1 , 2 , 4 , 3
        };
        int[] arr2 =  {
            9 , 7 , 2 , 6
        };
        // Case A
        // Get the number of elements arr1
        int n = arr1.length;
        task.printArray(arr1, n);
        // [8+4+1] == [7+1+3+2]
        task.isEqualSumPartition(arr1, n);
        // Case B
        // Get the number of elements in arr2
        n = arr2.length;
        task.printArray(arr2, n);
        task.isEqualSumPartition(arr2, n);
    }
}

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
// Include header file
#include <iostream>
using namespace std;
/*
    C++ program
    Equal subset sum partition
*/
class EqualSubset
{
	public:
		// Display array elements
		void printArray(int arr[], int n)
		{
			for (int i = 0; i < n; ++i)
			{
				cout << " " << arr[i];
			}
			cout << "\n";
		}
	bool partition(int arr[], int n, int sum)
	{
		// Define auxiliary space which is calculate result
		bool auxiliary[n + 1][sum + 1];
		// Set default value
		for (int i = 0; i <= n; ++i)
		{
			// Set the value of first column of auxiliary is true
			auxiliary[i][0] = true;
			// Set default value of other columns
			for (int j = 1; j <= sum; ++j)
			{
				auxiliary[i][j] = false;
			}
		}
		// Outer loop
		for (int i = 1; i <= n; ++i)
		{
			// Inner loop
			for (int j = 1; j <= sum; ++j)
			{
				if (arr[i - 1] <= j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1][j] or 
					// auxiliary[i - 1][j - arr[i - 1]]
					auxiliary[i][j] = auxiliary[i - 1][j] || 
                      auxiliary[i - 1][j - arr[i - 1]];
				}
				else
				{
					auxiliary[i][j] = auxiliary[i - 1][j];
				}
			}
		}
		// Return calculated result
		return auxiliary[n][sum];
	}
	void isEqualSumPartition(int arr[], int n)
	{
		int sum = 0;
		// Calculate the sum of all array elements
		for (int i = 0; i < n; ++i)
		{
			sum += arr[i];
		}
		if ((sum % 2) != 0 || this->partition(arr, n, sum / 2) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			cout << " No\n";
		}
		else
		{
			cout << " Yes\n";
		}
	}
};
int main()
{
	EqualSubset *task = new EqualSubset();
	int arr1[] = {
		1 , 8 , 7 , 1 , 2 , 4 , 3
	};
	int arr2[] = {
		9 , 7 , 2 , 6
	};
	// Case A
	// Get the number of elements arr1
	int n = sizeof(arr1) / sizeof(arr1[0]);
	task->printArray(arr1, n);
	// [8+4+1] == [7+1+3+2]
	task->isEqualSumPartition(arr1, n);
	// Case B
	// Get the number of elements in arr2
	n = sizeof(arr2) / sizeof(arr2[0]);
	task->printArray(arr2, n);
	task->isEqualSumPartition(arr2, n);
	return 0;
}

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
// Include namespace system
using System;
/*
    Csharp program
    Equal subset sum partition
*/
public class EqualSubset
{
	// Display array elements
	public void printArray(int[] arr, int n)
	{
		for (int i = 0; i < n; ++i)
		{
			Console.Write(" " + arr[i]);
		}
		Console.Write("\n");
	}
	public Boolean partition(int[] arr, int n, int sum)
	{
		// Define auxiliary space which is calculate result
		Boolean[,] auxiliary = new Boolean[n + 1,sum + 1];
		// Set default value
		for (int i = 0; i <= n; ++i)
		{
			// Set the value of first column of auxiliary is true
			auxiliary[i,0] = true;
			// Set default value of other columns
			for (int j = 1; j <= sum; ++j)
			{
				auxiliary[i,j] = false;
			}
		}
		// Outer loop
		for (int i = 1; i <= n; ++i)
		{
			// Inner loop
			for (int j = 1; j <= sum; ++j)
			{
				if (arr[i - 1] <= j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1,j] or 
					// auxiliary[i - 1,j - arr[i - 1]]
					auxiliary[i,j] = auxiliary[i - 1,j] || 
                      auxiliary[i - 1,j - arr[i - 1]];
				}
				else
				{
					auxiliary[i,j] = auxiliary[i - 1,j];
				}
			}
		}
		// Return calculated result
		return auxiliary[n,sum];
	}
	public void isEqualSumPartition(int[] arr, int n)
	{
		int sum = 0;
		// Calculate the sum of all array elements
		for (int i = 0; i < n; ++i)
		{
			sum += arr[i];
		}
		if ((sum % 2) != 0 || this.partition(arr, n, sum / 2) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			Console.Write(" No\n");
		}
		else
		{
			Console.Write(" Yes\n");
		}
	}
	public static void Main(String[] args)
	{
		EqualSubset task = new EqualSubset();
		int[] arr1 = {
			1 , 8 , 7 , 1 , 2 , 4 , 3
		};
		int[] arr2 = {
			9 , 7 , 2 , 6
		};
		// Case A
		// Get the number of elements arr1
		int n = arr1.Length;
		task.printArray(arr1, n);
		// [8+4+1] == [7+1+3+2]
		task.isEqualSumPartition(arr1, n);
		// Case B
		// Get the number of elements in arr2
		n = arr2.Length;
		task.printArray(arr2, n);
		task.isEqualSumPartition(arr2, n);
	}
}

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
package main
import "fmt"
/*
    Go program
    Equal subset sum partition
*/
// Display array elements
func printArray(arr[] int, n int) {
	for i := 0 ; i < n ; i++ {
		fmt.Print(" ", arr[i])
	}
	fmt.Print("\n")
}
func partition(arr[] int, n int, sum int) bool {
	// Define auxiliary space which is calculate result
	var auxiliary =  make([][]bool,n+1);
	// Set default value
	for i := 0 ; i <= n ; i++ {
		auxiliary[i] = make([]bool,sum+1)
		// Set the value of first column of auxiliary is true
		auxiliary[i][0] = true
	}
	// Outer loop
	for i := 1 ; i <= n ; i++ {
		// Inner loop
		for j := 1 ; j <= sum ; j++ {
			if arr[i - 1] <= j {
				// When i-1 element value is less than j
				// Then resultant is based on evalue of auxiliary[i-1][j] or 
				// auxiliary[i - 1][j - arr[i - 1]]
				auxiliary[i][j] = auxiliary[i - 1][j] || auxiliary[i - 1][j - arr[i - 1]]
			} else {
				auxiliary[i][j] = auxiliary[i - 1][j]
			}
		}
	}
	// Return calculated result
	return auxiliary[n][sum]
}
func isEqualSumPartition(arr[] int, n int) {
	var sum int = 0
	// Calculate the sum of all array elements
	for i := 0 ; i < n ; i++ {
		sum += arr[i]
	}
	if (sum % 2) != 0 || partition(arr, n, sum / 2) == false {
		// When sum is not dividing into two equal parts
		// And its subset sum is not equal into two part
		fmt.Print(" No\n")
	} else {
		fmt.Print(" Yes\n")
	}
}
func main() {
	
	var arr1 = [] int {
		1,
		8,
		7,
		1,
		2,
		4,
		3,
	}
	var arr2 = [] int {
		9,
		7,
		2,
		6,
	}
	// Case A
	// Get the number of elements arr1
	var n int = len(arr1)
	printArray(arr1, n)
	// [8+4+1] == [7+1+3+2]
	isEqualSumPartition(arr1, n)
	// Case B
	// Get the number of elements in arr2
	n = len(arr2)
	printArray(arr2, n)
	isEqualSumPartition(arr2, n)
}

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
<?php
/*
    Php program
    Equal subset sum partition
*/
class EqualSubset
{
	// Display array elements
	public	function printArray($arr, $n)
	{
		for ($i = 0; $i < $n; ++$i)
		{
			echo(" ".$arr[$i]);
		}
		echo("\n");
	}
	public	function partition($arr, $n, $sum)
	{
		// Define auxiliary space which is calculate result
		$auxiliary = array_fill(0, $n + 1, array_fill(0,$sum + 1, false));
		// Set default value
		for ($i = 0; $i <= $n; ++$i)
		{
			// Set the value of first column of auxiliary is true
			$auxiliary[$i][0] = true;
		}
		// Outer loop
		for ($i = 1; $i <= $n; ++$i)
		{
			// Inner loop
			for ($j = 1; $j <= $sum; ++$j)
			{
				if ($arr[$i - 1] <= $j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1][j] or 
					// auxiliary[i - 1][j - arr[i - 1]]
					$auxiliary[$i][$j] = $auxiliary[$i - 1][$j] || $auxiliary[$i - 1][$j - $arr[$i - 1]];
				}
				else
				{
					$auxiliary[$i][$j] = $auxiliary[$i - 1][$j];
				}
			}
		}
		// Return calculated result
		return $auxiliary[$n][$sum];
	}
	public	function isEqualSumPartition($arr, $n)
	{
		$sum = 0;
		// Calculate the sum of all array elements
		for ($i = 0; $i < $n; ++$i)
		{
			$sum += $arr[$i];
		}
		if (($sum % 2) != 0 || $this->partition($arr, $n, (int)($sum / 2)) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			echo(" No\n");
		}
		else
		{
			echo(" Yes\n");
		}
	}
}

function main()
{
	$task = new EqualSubset();
	$arr1 = array(1, 8, 7, 1, 2, 4, 3);
	$arr2 = array(9, 7, 2, 6);
	// Case A
	// Get the number of elements arr1
	$n = count($arr1);
	$task->printArray($arr1, $n);
	// [8+4+1] == [7+1+3+2]
	$task->isEqualSumPartition($arr1, $n);
	// Case B
	// Get the number of elements in arr2
	$n = count($arr2);
	$task->printArray($arr2, $n);
	$task->isEqualSumPartition($arr2, $n);
}
main();

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
/*
    Node JS program
    Equal subset sum partition
*/
class EqualSubset
{
	// Display array elements
	printArray(arr, n)
	{
		for (var i = 0; i < n; ++i)
		{
			process.stdout.write(" " + arr[i]);
		}
		process.stdout.write("\n");
	}
	partition(arr, n, sum)
	{
		// Define auxiliary space which is calculate result
		var auxiliary = Array(n + 1).fill(false).map(() => 
                                    new Array(sum + 1).fill(false));
		// Set default value
		for (var i = 0; i <= n; ++i)
		{
			// Set the value of first column of auxiliary is true
			auxiliary[i][0] = true;
		}
		// Outer loop
		for (var i = 1; i <= n; ++i)
		{
			// Inner loop
			for (var j = 1; j <= sum; ++j)
			{
				if (arr[i - 1] <= j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1][j] or 
					// auxiliary[i - 1][j - arr[i - 1]]
					auxiliary[i][j] = auxiliary[i - 1][j] || 
                      auxiliary[i - 1][j - arr[i - 1]];
				}
				else
				{
					auxiliary[i][j] = auxiliary[i - 1][j];
				}
			}
		}
		// Return calculated result
		return auxiliary[n][sum];
	}
	isEqualSumPartition(arr, n)
	{
		var sum = 0;
		// Calculate the sum of all array elements
		for (var i = 0; i < n; ++i)
		{
			sum += arr[i];
		}
		if ((sum % 2) != 0 || this.partition(arr, n, parseInt(sum / 2)) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			process.stdout.write(" No\n");
		}
		else
		{
			process.stdout.write(" Yes\n");
		}
	}
}

function main()
{
	var task = new EqualSubset();
	var arr1 = [1, 8, 7, 1, 2, 4, 3];
	var arr2 = [9, 7, 2, 6];
	// Case A
	// Get the number of elements arr1
	var n = arr1.length;
	task.printArray(arr1, n);
	// [8+4+1] == [7+1+3+2]
	task.isEqualSumPartition(arr1, n);
	// Case B
	// Get the number of elements in arr2
	n = arr2.length;
	task.printArray(arr2, n);
	task.isEqualSumPartition(arr2, n);
}
main();

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
#    Python 3 program
#    Equal subset sum partition
class EqualSubset :
    #  Display list elements
    def printArray(self, arr, n) :
        i = 0
        while (i < n) :
            print(" ", arr[i], end = "")
            i += 1
        
        print(end = "\n")
    
    def partition(self, arr, n, sum) :
        #  Define auxiliary space which is calculate result
        auxiliary = [[False] * (sum + 1) for _ in range(n + 1) ]
        i = 0
        #  Set default value
        while (i <= n) :
            #  Set the value of first column of auxiliary is true
            auxiliary[i][0] = True
            i += 1
        
        i = 1
        #  Outer loop
        while (i <= n) :
            j = 1
            #  Inner loop
            while (j <= sum) :
                if (arr[i - 1] <= j) :
                    #  When i-1 element value is less than j
                    #  Then resultant is based on evalue of auxiliary[i-1][j] or 
                    #  auxiliary[i - 1][j - arr[i - 1]]
                    auxiliary[i][j] = auxiliary[i - 1][j] or auxiliary[i - 1][j - arr[i - 1]]
                else :
                    auxiliary[i][j] = auxiliary[i - 1][j]
                
                j += 1
            
            i += 1
        
        #  Return calculated result
        return auxiliary[n][sum]
    
    def isEqualSumPartition(self, arr, n) :
        sum = 0
        i = 0
        #  Calculate the sum of all list elements
        while (i < n) :
            sum += arr[i]
            i += 1
        
        if ((sum % 2) != 0 or 
            self.partition(arr, n, int(sum / 2)) == False) :
            #  When sum is not dividing into two equal parts
            #  And its subset sum is not equal into two part
            print(" No")
        else :
            print(" Yes")
        
    

def main() :
    task = EqualSubset()
    arr1 = [1, 8, 7, 1, 2, 4, 3]
    arr2 = [9, 7, 2, 6]
    #  Case A
    #  Get the number of elements arr1
    n = len(arr1)
    task.printArray(arr1, n)
    #  [8+4+1] == [7+1+3+2]
    task.isEqualSumPartition(arr1, n)
    #  Case B
    #  Get the number of elements in arr2
    n = len(arr2)
    task.printArray(arr2, n)
    task.isEqualSumPartition(arr2, n)

if __name__ == "__main__": main()

Output

  1  8  7  1  2  4  3
 Yes
  9  7  2  6
 No
#    Ruby program
#    Equal subset sum partition
class EqualSubset 
	#  Display array elements
	def printArray(arr, n) 
		i = 0
		while (i < n) 
			print(" ", arr[i])
			i += 1
		end

		print("\n")
	end

	def partition(arr, n, sum) 
		#  Define auxiliary space which is calculate result
		auxiliary = Array.new(n + 1) {Array.new(sum + 1) {false}}
		i = 0
		#  Set default value
		while (i <= n) 
			#  Set the value of first column of auxiliary is true
			auxiliary[i][0] = true
			i += 1
		end

		i = 1
		#  Outer loop
		while (i <= n) 
			j = 1
			#  Inner loop
			while (j <= sum) 
				if (arr[i - 1] <= j) 
					#  When i-1 element value is less than j
					#  Then resultant is based on evalue of auxiliary[i-1][j] or 
					#  auxiliary[i - 1][j - arr[i - 1]]
					auxiliary[i][j] = auxiliary[i - 1][j] || 
                      auxiliary[i - 1][j - arr[i - 1]]
				else
 
					auxiliary[i][j] = auxiliary[i - 1][j]
				end

				j += 1
			end

			i += 1
		end

		#  Return calculated result
		return auxiliary[n][sum]
	end

	def isEqualSumPartition(arr, n) 
		sum = 0
		i = 0
		#  Calculate the sum of all array elements
		while (i < n) 
			sum += arr[i]
			i += 1
		end

		if ((sum % 2) != 0 || self.partition(arr, n, sum / 2) == false) 
			#  When sum is not dividing into two equal parts
			#  And its subset sum is not equal into two part
			print(" No\n")
		else
 
			print(" Yes\n")
		end

	end

end

def main() 
	task = EqualSubset.new()
	arr1 = [1, 8, 7, 1, 2, 4, 3]
	arr2 = [9, 7, 2, 6]
	#  Case A
	#  Get the number of elements arr1
	n = arr1.length
	task.printArray(arr1, n)
	#  [8+4+1] == [7+1+3+2]
	task.isEqualSumPartition(arr1, n)
	#  Case B
	#  Get the number of elements in arr2
	n = arr2.length
	task.printArray(arr2, n)
	task.isEqualSumPartition(arr2, n)
end

main()

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No

/*
    Scala program
    Equal subset sum partition
*/
class EqualSubset()
{
	// Display array elements
	def printArray(arr: Array[Int], n: Int): Unit = {
		var i: Int = 0;
		while (i < n)
		{
			print(" " + arr(i));
			i += 1;
		}
		print("\n");
	}
	def partition(arr: Array[Int], n: Int, sum: Int): Boolean = {
		// Define auxiliary space which is calculate result
		var auxiliary: Array[Array[Boolean]] = 
          Array.fill[Boolean](n + 1, sum + 1)(false);
		var i: Int = 0;
		// Set default value
		while (i <= n)
		{
			// Set the value of first column of auxiliary is true
			auxiliary(i)(0) = true;
			i += 1;
		}
		i = 1;
		// Outer loop
		while (i <= n)
		{
			var j = 1;
			// Inner loop
			while (j <= sum)
			{
				if (arr(i - 1) <= j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1][j] or 
					// auxiliary[i - 1][j - arr[i - 1]]
					auxiliary(i)(j) = auxiliary(i - 1)(j) || 
                      auxiliary(i - 1)(j - arr(i - 1));
				}
				else
				{
					auxiliary(i)(j) = auxiliary(i - 1)(j);
				}
				j += 1;
			}
			i += 1;
		}
		// Return calculated result
		return auxiliary(n)(sum);
	}
	def isEqualSumPartition(arr: Array[Int], n: Int): Unit = {
		var sum: Int = 0;
		var i: Int = 0;
		// Calculate the sum of all array elements
		while (i < n)
		{
			sum += arr(i);
			i += 1;
		}
		if ((sum % 2) != 0 || partition(arr, n, sum / 2) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			print(" No\n");
		}
		else
		{
			print(" Yes\n");
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: EqualSubset = new EqualSubset();
		var arr1: Array[Int] = Array(1, 8, 7, 1, 2, 4, 3);
		var arr2: Array[Int] = Array(9, 7, 2, 6);
		// Case A
		// Get the number of elements arr1
		var n: Int = arr1.length;
		task.printArray(arr1, n);
		// [8+4+1] == [7+1+3+2]
		task.isEqualSumPartition(arr1, n);
		// Case B
		// Get the number of elements in arr2
		n = arr2.length;
		task.printArray(arr2, n);
		task.isEqualSumPartition(arr2, n);
	}
}

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
import Foundation;
/*
    Swift 4 program
    Equal subset sum partition
*/
class EqualSubset
{
	// Display array elements
	func printArray(_ arr: [Int], _ n: Int)
	{
		var i: Int = 0;
		while (i < n)
		{
			print(" ", arr[i], terminator: "");
			i += 1;
		}
		print(terminator: "\n");
	}
	func partition(_ arr: [Int], _ n: Int, _ sum: Int) -> Bool
	{
		// Define auxiliary space which is calculate result
		var auxiliary: [
			[Bool]
		] = Array(repeating: Array(repeating: false, count: sum + 1), 
          							count: n + 1);
		var i: Int = 0;
		// Set default value
		while (i <= n)
		{
			// Set the value of first column of auxiliary is true
			auxiliary[i][0] = true;
			i += 1;
		}
		i = 1;
		// Outer loop
		while (i <= n)
		{
			var j: Int = 1;
			// Inner loop
			while (j <= sum)
			{
				if (arr[i - 1] <= j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1][j] or 
					// auxiliary[i - 1][j - arr[i - 1]]
					auxiliary[i][j] = auxiliary[i - 1][j] || 
                      auxiliary[i - 1][j - arr[i - 1]];
				}
				else
				{
					auxiliary[i][j] = auxiliary[i - 1][j];
				}
				j += 1;
			}
			i += 1;
		}
		// Return calculated result
		return auxiliary[n][sum];
	}
	func isEqualSumPartition(_ arr: [Int], _ n: Int)
	{
		var sum: Int = 0;
		var i: Int = 0;
		// Calculate the sum of all array elements
		while (i < n)
		{
			sum += arr[i];
			i += 1;
		}
		if ((sum % 2)  != 0 || self.partition(arr, n, sum / 2) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			print(" No");
		}
		else
		{
			print(" Yes");
		}
	}
}
func main()
{
	let task: EqualSubset = EqualSubset();
	let arr1: [Int] = [1, 8, 7, 1, 2, 4, 3];
	let arr2: [Int] = [9, 7, 2, 6];
	// Case A
	// Get the number of elements arr1
	var n: Int = arr1.count;
	task.printArray(arr1, n);
	// [8+4+1] == [7+1+3+2]
	task.isEqualSumPartition(arr1, n);
	// Case B
	// Get the number of elements in arr2
	n = arr2.count;
	task.printArray(arr2, n);
	task.isEqualSumPartition(arr2, n);
}
main();

Output

  1  8  7  1  2  4  3
 Yes
  9  7  2  6
 No
/*
    Kotlin program
    Equal subset sum partition
*/
class EqualSubset
{
	// Display array elements
	fun printArray(arr: Array < Int > , n: Int): Unit
	{
		var i: Int = 0;
		while (i < n)
		{
			print(" " + arr[i]);
			i += 1;
		}
		print("\n");
	}
	fun partition(arr: Array < Int > , n: Int, sum: Int): Boolean
	{
		// Define auxiliary space which is calculate result
		val auxiliary: Array < Array < Boolean >> = Array(n + 1)
		{
			Array(sum + 1)
			{
				false
			}
		};
		var i: Int = 0;
		// Set default value
		while (i <= n)
		{
			// Set the value of first column of auxiliary is true
			auxiliary[i][0] = true;
			i += 1;
		}
		i = 1;
		// Outer loop
		while (i <= n)
		{
			var j: Int = 1;
			// Inner loop
			while (j <= sum)
			{
				if (arr[i - 1] <= j)
				{
					// When i-1 element value is less than j
					// Then resultant is based on evalue of auxiliary[i-1][j] or 
					// auxiliary[i - 1][j - arr[i - 1]]
					auxiliary[i][j] = auxiliary[i - 1][j] || 
                      auxiliary[i - 1][j - arr[i - 1]];
				}
				else
				{
					auxiliary[i][j] = auxiliary[i - 1][j];
				}
				j += 1;
			}
			i += 1;
		}
		// Return calculated result
		return auxiliary[n][sum];
	}
	fun isEqualSumPartition(arr: Array < Int > , n: Int): Unit
	{
		var sum: Int = 0;
		var i: Int = 0;
		// Calculate the sum of all array elements
		while (i < n)
		{
			sum += arr[i];
			i += 1;
		}
		if ((sum % 2) != 0 || this.partition(arr, n, sum / 2) == false)
		{
			// When sum is not dividing into two equal parts
			// And its subset sum is not equal into two part
			print(" No\n");
		}
		else
		{
			print(" Yes\n");
		}
	}
}
fun main(args: Array < String > ): Unit
{
	val task: EqualSubset = EqualSubset();
	val arr1: Array < Int > = arrayOf(1, 8, 7, 1, 2, 4, 3);
	val arr2: Array < Int > = arrayOf(9, 7, 2, 6);
	// Case A
	// Get the number of elements arr1
	var n: Int = arr1.count();
	task.printArray(arr1, n);
	// [8+4+1] == [7+1+3+2]
	task.isEqualSumPartition(arr1, n);
	// Case B
	// Get the number of elements in arr2
	n = arr2.count();
	task.printArray(arr2, n);
	task.isEqualSumPartition(arr2, n);
}

Output

 1 8 7 1 2 4 3
 Yes
 9 7 2 6
 No
Last updated on by Kalkicode




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