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Printing Shortest Common Supersequence

Here given code implementation process.

/*
    Java program for
    Printing Shortest Common Supersequence
*/
public class Supersequence
{
	// Returns minimum of given values
	public int minValue(int x, int y)
	{
		if (x < y)
		{
			return x;
		}
		return y;
	}
	// Find length of shortest common Supersequence 
	public void findSCS(String a, String b)
	{
		int n = a.length();
		int m = b.length();
		String result = "";
		// Auxiliary space
		int[][] dp = new int[n + 1][m + 1];
		// Outer loop, executing this from 0 to n (length of a)
		for (int i = 0; i <= n; ++i)
		{
			// Inner loop, executing this from 0 to m (length of b)
			for (int j = 0; j <= m; ++j)
			{
				if (i == 0)
				{
					// When i is zero
					dp[i][j] = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp[i][j] = i;
				}
				else if (a.charAt(i - 1) == b.charAt(j - 1))
				{
					//  When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp[i][j] = minValue(dp[i][j - 1], dp[i - 1][j]) + 1;
				}
			}
		}
		// Display given strings
		System.out.println(" Given string a : " + a);
		System.out.println(" Given string b : " + b);
		int min = dp[n][m];
		int s = n;
		int e = m;
		while (s > 0 && e > 0)
		{
			if (a.charAt(s - 1) == b.charAt(e - 1))
			{
				// When both string character at position are same from end
				result = a.charAt(s - 1) + result;
				s--;
				e--;
			}
			else if (dp[s - 1][e] > dp[s][e - 1])
			{
				result = b.charAt(e - 1) + result;
				e--;
			}
			else
			{
				result = a.charAt(s - 1) + result;
				s--;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = a.charAt(s - 1) + result;
			s--;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = b.charAt(e - 1) + result;
			e--;
		}
		// Display calculated result
		System.out.println(" Length : " + dp[n][m]);
		System.out.println(" Result : " + result);
	}
	public static void main(String[] args)
	{
		Supersequence task = new Supersequence();
		// Test A
		// String a : abc
		// String b : fab
		// [fabc] Supersequence 
		// Result = 4
		task.findSCS("abc", "fab");
		// Test B
		// String a : project
		// String b : objects
		// [probjects]  
		// Result : 9
		task.findSCS("project", "objects");
		// Test C
		// String a : match
		// String b : attack
		// [mattachk,matatchk,mattackh] etc
		// Result : 8 (length of Supersequence)
		task.findSCS("match", "attack");
		// Test D
		// String a : abc
		// String b : abc
		// [abc] etc
		// Result : 3 
		task.findSCS("abc", "abc");
	}
}

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
// Include header file
#include <iostream>
#include <string>

using namespace std;
/*
    C++ program for
    Printing Shortest Common Supersequence
*/
class Supersequence
{
	public:
		// Returns minimum of given values
		int minValue(int x, int y)
		{
			if (x < y)
			{
				return x;
			}
			return y;
		}
	// Find length of shortest common Supersequence 
	void findSCS(string a, string b)
	{
		int n = a.length();
		int m = b.length();
		string result = "";
		// Auxiliary space
		int dp[n + 1][m + 1];
		// Outer loop, executing this from 0 to n (length of a)
		for (int i = 0; i <= n; ++i)
		{
			// Inner loop, executing this from 0 to m (length of b)
			for (int j = 0; j <= m; ++j)
			{
				if (i == 0)
				{
					// When i is zero
					dp[i][j] = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp[i][j] = i;
				}
				else if (a[i - 1] == b[j - 1])
				{
					//  When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp[i][j] = this->minValue(dp[i][j - 1], 
                                              dp[i - 1][j]) + 1;
				}
			}
		}
		// Display given strings
		cout << " Given string a : " << a << endl;
		cout << " Given string b : " << b << endl;
		int min = dp[n][m];
		int s = n;
		int e = m;
		while (s > 0 && e > 0)
		{
			if (a[s - 1] == b[e - 1])
			{
				// When both string character at position are same from end
				result = (a[s - 1])  +  result;
				s--;
				e--;
			}
			else if (dp[s - 1][e] > dp[s][e - 1])
			{
				result = (b[e - 1])  +  result;
				e--;
			}
			else
			{
				result = (a[s - 1])  +  result;
				s--;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = (a[s - 1])  +  result;
			s--;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = (b[e - 1])  +  result;
			e--;
		}
		// Display calculated result
		cout << " Length : " << dp[n][m] << endl;
		cout << " Result : " << result << endl;
	}
};
int main()
{
	Supersequence *task = new Supersequence();
	// Test A
	// String a : abc
	// String b : fab
	// [fabc] Supersequence 
	// Result = 4
	task->findSCS("abc", "fab");
	// Test B
	// String a : project
	// String b : objects
	// [probjects]  
	// Result : 9
	task->findSCS("project", "objects");
	// Test C
	// String a : match
	// String b : attack
	// [mattachk,matatchk,mattackh] etc
	// Result : 8 (length of Supersequence)
	task->findSCS("match", "attack");
	// Test D
	// String a : abc
	// String b : abc
	// [abc] etc
	// Result : 3 
	task->findSCS("abc", "abc");
	return 0;
}

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
// Include namespace system
using System;
/*
    Csharp program for
    Printing Shortest Common Supersequence
*/
public class Supersequence
{
	// Returns minimum of given values
	public int minValue(int x, int y)
	{
		if (x < y)
		{
			return x;
		}
		return y;
	}
	// Find length of shortest common Supersequence 
	public void findSCS(String a, String b)
	{
		int n = a.Length;
		int m = b.Length;
		String result = "";
		// Auxiliary space
		int[,] dp = new int[n + 1,m + 1];
		// Outer loop, executing this from 0 to n (length of a)
		for (int i = 0; i <= n; ++i)
		{
			// Inner loop, executing this from 0 to m (length of b)
			for (int j = 0; j <= m; ++j)
			{
				if (i == 0)
				{
					// When i is zero
					dp[i,j] = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp[i,j] = i;
				}
				else if (a[i - 1] == b[j - 1])
				{
					//  When character of i-1 and j-1 position are same
					dp[i,j] = dp[i - 1,j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp[i,j] = this.minValue(dp[i,j - 1], dp[i - 1,j]) + 1;
				}
			}
		}
		// Display given strings
		Console.WriteLine(" Given string a : " + a);
		Console.WriteLine(" Given string b : " + b);
		int min = dp[n,m];
		int s = n;
		int e = m;
		while (s > 0 && e > 0)
		{
			if (a[s - 1] == b[e - 1])
			{
				// When both string character at position are same from end
				result = a[s - 1] + result;
				s--;
				e--;
			}
			else if (dp[s - 1,e] > dp[s,e - 1])
			{
				result = b[e - 1] + result;
				e--;
			}
			else
			{
				result = a[s - 1] + result;
				s--;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = a[s - 1] + result;
			s--;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = b[e - 1] + result;
			e--;
		}
		// Display calculated result
		Console.WriteLine(" Length : " + min);
		Console.WriteLine(" Result : " + result);
	}
	public static void Main(String[] args)
	{
		Supersequence task = new Supersequence();
		// Test A
		// String a : abc
		// String b : fab
		// [fabc] Supersequence 
		// Result = 4
		task.findSCS("abc", "fab");
		// Test B
		// String a : project
		// String b : objects
		// [probjects]  
		// Result : 9
		task.findSCS("project", "objects");
		// Test C
		// String a : match
		// String b : attack
		// [mattachk,matatchk,mattackh] etc
		// Result : 8 (length of Supersequence)
		task.findSCS("match", "attack");
		// Test D
		// String a : abc
		// String b : abc
		// [abc] etc
		// Result : 3 
		task.findSCS("abc", "abc");
	}
}

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
package main
import "fmt"
/*
    Go program for
    Printing Shortest Common Supersequence
*/

// Returns minimum of given values
func minValue(x, y int) int {
	if x < y {
		return x
	}
	return y
}
// Find length of shortest common Supersequence 
func findSCS(a, b string) {
	var n int = len(a)
	var m int = len(b)
	var result string = ""
	// Auxiliary space
	var dp = make([][] int, n + 1)
	for i := 0; i < n + 1; i++ {
		dp[i] = make([] int, m + 1)
	}
	// Outer loop, executing this from 0 to n (length of a)
	for i := 0 ; i <= n ; i++ {
		// Inner loop, executing this from 0 to m (length of b)
		for j := 0 ; j <= m ; j++ {
			if i == 0 {
				// When i is zero
				dp[i][j] = j
			} else if j == 0 {
				// When j is zero
				dp[i][j] = i
			} else if a[i - 1] == b[j - 1] {
				//  When character of i-1 and j-1 position are same
				dp[i][j] = dp[i - 1][j - 1] + 1
			} else {
				//  When character of i-1 and j-1 position are not same
				dp[i][j] = minValue(dp[i][j - 1], dp[i - 1][j]) + 1
			}
		}
	}
	// Display given strings
	fmt.Println(" Given string a : ", a)
	fmt.Println(" Given string b : ", b)
	var min int = dp[n][m]
	var s int = n
	var e int = m
	for (s > 0 && e > 0) {
		if a[s - 1] == b[e - 1] {
			// When both string character at position are same from end
			result = string(a[s - 1]) + result
			s--
			e--
		} else if dp[s - 1][e] > dp[s][e - 1] {
			result = string(b[e - 1]) + result
			e--
		} else {
			result = string(a[s - 1]) + result
			s--
		}
	}
	// Collect remaining character of first string
	for (s > 0) {
		result = string(a[s - 1]) + result
		s--
	}
	// Collect remaining character of second string 
	for (e > 0) {
		result = string(b[e - 1]) + result
		e--
	}
	// Display calculated result
	fmt.Println(" Length : ", min)
	fmt.Println(" Result : ", result)
}
func main() {

	// Test A
	// String a : abc
	// String b : fab
	// [fabc] Supersequence 
	// Result = 4
	findSCS("abc", "fab")
	// Test B
	// String a : project
	// String b : objects
	// [probjects]  
	// Result : 9
	findSCS("project", "objects")
	// Test C
	// String a : match
	// String b : attack
	// [mattachk,matatchk,mattackh] etc
	// Result : 8 (length of Supersequence)
	findSCS("match", "attack")
	// Test D
	// String a : abc
	// String b : abc
	// [abc] etc
	// Result : 3 
	findSCS("abc", "abc")
}

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
<?php
/*
    Php program for
    Printing Shortest Common Supersequence
*/
class Supersequence
{
	// Returns minimum of given values
	public	function minValue($x, $y)
	{
		if ($x < $y)
		{
			return $x;
		}
		return $y;
	}
	// Find length of shortest common Supersequence 
	public	function findSCS($a, $b)
	{
		$n = strlen($a);
		$m = strlen($b);
		$result = "";
		// Auxiliary space
		$dp = array_fill(0, $n + 1, array_fill(0, $m + 1, 0));
		// Outer loop, executing this from 0 to n (length of a)
		for ($i = 0; $i <= $n; ++$i)
		{
			// Inner loop, executing this from 0 to m (length of b)
			for ($j = 0; $j <= $m; ++$j)
			{
				if ($i == 0)
				{
					// When i is zero
					$dp[$i][$j] = $j;
				}
				else if ($j == 0)
				{
					// When j is zero
					$dp[$i][$j] = $i;
				}
				else if ($a[$i - 1] == $b[$j - 1])
				{
					//  When character of i-1 and j-1 position are same
					$dp[$i][$j] = $dp[$i - 1][$j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					$dp[$i][$j] = $this->minValue(
                      $dp[$i][$j - 1], $dp[$i - 1][$j]) + 1;
				}
			}
		}
		// Display given strings
		echo(" Given string a : ".$a.
			"\n");
		echo(" Given string b : ".$b.
			"\n");
		$min = $dp[$n][$m];
		$s = $n;
		$e = $m;
		while ($s > 0 && $e > 0)
		{
			if ($a[$s - 1] == $b[$e - 1])
			{
				// When both string character at position are same from end
				$result = strval($a[$s - 1]).$result;
				$s--;
				$e--;
			}
			else if ($dp[$s - 1][$e] > $dp[$s][$e - 1])
			{
				$result = strval($b[$e - 1]).$result;
				$e--;
			}
			else
			{
				$result = strval($a[$s - 1]).$result;
				$s--;
			}
		}
		// Collect remaining character of first string
		while ($s > 0)
		{
			$result = strval($a[$s - 1]).$result;
			$s--;
		}
		// Collect remaining character of second string 
		while ($e > 0)
		{
			$result = strval($b[$e - 1]).$result;
			$e--;
		}
		// Display calculated result
		echo(" Length : ".$min."\n");
		echo(" Result : ".$result."\n");
	}
}

function main()
{
	$task = new Supersequence();
	// Test A
	// String a : abc
	// String b : fab
	// [fabc] Supersequence 
	// Result = 4
	$task->findSCS("abc", "fab");
	// Test B
	// String a : project
	// String b : objects
	// [probjects]  
	// Result : 9
	$task->findSCS("project", "objects");
	// Test C
	// String a : match
	// String b : attack
	// [mattachk,matatchk,mattackh] etc
	// Result : 8 (length of Supersequence)
	$task->findSCS("match", "attack");
	// Test D
	// String a : abc
	// String b : abc
	// [abc] etc
	// Result : 3 
	$task->findSCS("abc", "abc");
}
main();

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
/*
    Node JS program for
    Printing Shortest Common Supersequence
*/
class Supersequence
{
	// Returns minimum of given values
	minValue(x, y)
	{
		if (x < y)
		{
			return x;
		}
		return y;
	}
	// Find length of shortest common Supersequence 
	findSCS(a, b)
	{
		var n = a.length;
		var m = b.length;
		var result = "";
		// Auxiliary space
		var dp = Array(n + 1).fill(0).map(() => new Array(m + 1).fill(0));
		// Outer loop, executing this from 0 to n (length of a)
		for (var i = 0; i <= n; ++i)
		{
			// Inner loop, executing this from 0 to m (length of b)
			for (var j = 0; j <= m; ++j)
			{
				if (i == 0)
				{
					// When i is zero
					dp[i][j] = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp[i][j] = i;
				}
				else if (a.charAt(i - 1) == b.charAt(j - 1))
				{
					//  When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp[i][j] = this.minValue(dp[i][j - 1], dp[i - 1][j]) + 1;
				}
			}
		}
		// Display given strings
		console.log(" Given string a : " + a);
		console.log(" Given string b : " + b);
		var min = dp[n][m];
		var s = n;
		var e = m;
		while (s > 0 && e > 0)
		{
			if (a.charAt(s - 1) == b.charAt(e - 1))
			{
				// When both string character at position are same from end
				result = a.charAt(s - 1) + result;
				s--;
				e--;
			}
			else if (dp[s - 1][e] > dp[s][e - 1])
			{
				result = b.charAt(e - 1) + result;
				e--;
			}
			else
			{
				result = a.charAt(s - 1) + result;
				s--;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = a.charAt(s - 1) + result;
			s--;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = b.charAt(e - 1) + result;
			e--;
		}
		// Display calculated result
		console.log(" Length : " + min);
		console.log(" Result : " + result);
	}
}

function main()
{
	var task = new Supersequence();
	// Test A
	// String a : abc
	// String b : fab
	// [fabc] Supersequence 
	// Result = 4
	task.findSCS("abc", "fab");
	// Test B
	// String a : project
	// String b : objects
	// [probjects]  
	// Result : 9
	task.findSCS("project", "objects");
	// Test C
	// String a : match
	// String b : attack
	// [mattachk,matatchk,mattackh] etc
	// Result : 8 (length of Supersequence)
	task.findSCS("match", "attack");
	// Test D
	// String a : abc
	// String b : abc
	// [abc] etc
	// Result : 3 
	task.findSCS("abc", "abc");
}
main();

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
#    Python 3 program for
#    Printing Shortest Common Supersequence
class Supersequence :
	#  Returns minimum of given values
	def minValue(self, x, y) :
		if (x < y) :
			return x
		
		return y
	
	#  Find length of shortest common Supersequence 
	def findSCS(self, a, b) :
		n = len(a)
		m = len(b)
		result = ""
		#  Auxiliary space
		dp = [[0] * (m + 1) for _ in range(n + 1) ]
		i = 0
		#  Outer loop, executing this from 0 to n (length of a)
		while (i <= n) :
			j = 0
			#  Inner loop, executing this from 0 to m (length of b)
			while (j <= m) :
				if (i == 0) :
					#  When i is zero
					dp[i][j] = j
				elif (j == 0) :
					#  When j is zero
					dp[i][j] = i
				elif (a[i - 1] == b[j - 1]) :
					#   When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1
				else :
					#   When character of i-1 and j-1 position are not same
					dp[i][j] = self.minValue(dp[i][j - 1], dp[i - 1][j]) + 1
				
				j += 1
			
			i += 1
		
		#  Display given strings
		print(" Given string a : ", a)
		print(" Given string b : ", b)
		min = dp[n][m]
		s = n
		e = m
		while (s > 0 and e > 0) :
			if (a[s - 1] == b[e - 1]) :
				#  When both string character at position are same from end
				result = str(a[s - 1]) + result
				s -= 1
				e -= 1
			elif (dp[s - 1][e] > dp[s][e - 1]) :
				result = str(b[e - 1]) + result
				e -= 1
			else :
				result = str(a[s - 1]) + result
				s -= 1
			
		
		#  Collect remaining character of first string
		while (s > 0) :
			result = str(a[s - 1]) + result
			s -= 1
		
		#  Collect remaining character of second string 
		while (e > 0) :
			result = str(b[e - 1]) + result
			e -= 1
		
		#  Display calculated result
		print(" Length : ", min)
		print(" Result : ", result)
	

def main() :
	task = Supersequence()
	#  Test A
	#  String a : abc
	#  String b : fab
	#  [fabc] Supersequence 
	#  Result = 4
	task.findSCS("abc", "fab")
	#  Test B
	#  String a : project
	#  String b : objects
	#  [probjects]  
	#  Result : 9
	task.findSCS("project", "objects")
	#  Test C
	#  String a : match
	#  String b : attack
	#  [mattachk,matatchk,mattackh] etc
	#  Result : 8 (length of Supersequence)
	task.findSCS("match", "attack")
	#  Test D
	#  String a : abc
	#  String b : abc
	#  [abc] etc
	#  Result : 3 
	task.findSCS("abc", "abc")

if __name__ == "__main__": main()

Output

 Given string a :  abc
 Given string b :  fab
 Length :  4
 Result :  fabc
 Given string a :  project
 Given string b :  objects
 Length :  9
 Result :  probjects
 Given string a :  match
 Given string b :  attack
 Length :  8
 Result :  mattackh
 Given string a :  abc
 Given string b :  abc
 Length :  3
 Result :  abc
#    Ruby program for
#    Printing Shortest Common Supersequence
class Supersequence 
	#  Returns minimum of given values
	def minValue(x, y) 
		if (x < y) 
			return x
		end

		return y
	end

	#  Find length of shortest common Supersequence 
	def findSCS(a, b) 
		n = a.length
		m = b.length
		result = ""
		#  Auxiliary space
		dp = Array.new(n + 1) {Array.new(m + 1) {0}}
		i = 0
		#  Outer loop, executing this from 0 to n (length of a)
		while (i <= n) 
			j = 0
			#  Inner loop, executing this from 0 to m (length of b)
			while (j <= m) 
				if (i == 0) 
					#  When i is zero
					dp[i][j] = j
				elsif (j == 0) 
					#  When j is zero
					dp[i][j] = i
				elsif (a[i - 1] == b[j - 1]) 
					#   When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1
				else
 
					#   When character of i-1 and j-1 position are not same
					dp[i][j] = self.minValue(dp[i][j - 1], dp[i - 1][j]) + 1
				end

				j += 1
			end

			i += 1
		end

		#  Display given strings
		print(" Given string a : ", a, "\n")
		print(" Given string b : ", b, "\n")
		min = dp[n][m]
		s = n
		e = m
		while (s > 0 && e > 0) 
			if (a[s - 1] == b[e - 1]) 
				#  When both string character at position are same from end
				result = a[s - 1].to_s + result
				s -= 1
				e -= 1
			elsif (dp[s - 1][e] > dp[s][e - 1]) 
				result = b[e - 1].to_s + result
				e -= 1
			else
 
				result = a[s - 1].to_s + result
				s -= 1
			end

		end

		#  Collect remaining character of first string
		while (s > 0) 
			result = a[s - 1].to_s + result
			s -= 1
		end

		#  Collect remaining character of second string 
		while (e > 0) 
			result = b[e - 1].to_s + result
			e -= 1
		end

		#  Display calculated result
		print(" Length : ", min, "\n")
		print(" Result : ", result, "\n")
	end

end

def main() 
	task = Supersequence.new()
	#  Test A
	#  String a : abc
	#  String b : fab
	#  [fabc] Supersequence 
	#  Result = 4
	task.findSCS("abc", "fab")
	#  Test B
	#  String a : project
	#  String b : objects
	#  [probjects]  
	#  Result : 9
	task.findSCS("project", "objects")
	#  Test C
	#  String a : match
	#  String b : attack
	#  [mattachk,matatchk,mattackh] etc
	#  Result : 8 (length of Supersequence)
	task.findSCS("match", "attack")
	#  Test D
	#  String a : abc
	#  String b : abc
	#  [abc] etc
	#  Result : 3 
	task.findSCS("abc", "abc")
end

main()

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc

import scala.collection.mutable._;
/*
    Scala program for
    Printing Shortest Common Supersequence
*/
class Supersequence()
{
	// Returns minimum of given values
	def minValue(x: Int, y: Int): Int = {
		if (x < y)
		{
			return x;
		}
		return y;
	}
	// Find length of shortest common Supersequence 
	def findSCS(a: String, b: String): Unit = {
		var n: Int = a.length();
		var m: Int = b.length();
		var result: String = "";
		// Auxiliary space
		var dp: Array[Array[Int]] = Array.fill[Int](n + 1, m + 1)(0);
		var i: Int = 0;
		// Outer loop, executing this from 0 to n (length of a)
		while (i <= n)
		{
			var j: Int = 0;
			// Inner loop, executing this from 0 to m (length of b)
			while (j <= m)
			{
				if (i == 0)
				{
					// When i is zero
					dp(i)(j) = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp(i)(j) = i;
				}
				else if (a.charAt(i - 1) == b.charAt(j - 1))
				{
					//  When character of i-1 and j-1 position are same
					dp(i)(j) = dp(i - 1)(j - 1) + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp(i)(j) = minValue(dp(i)(j - 1), dp(i - 1)(j)) + 1;
				}
				j += 1;
			}
			i += 1;
		}
		// Display given strings
		println(" Given string a : " + a);
		println(" Given string b : " + b);
		var min: Int = dp(n)(m);
		var s: Int = n;
		var e: Int = m;
		while (s > 0 && e > 0)
		{
			if (a.charAt(s - 1) == b.charAt(e - 1))
			{
				// When both string character at position are same from end
				result = a.charAt(s - 1).toString() + result;
				s -= 1;
				e -= 1;
			}
			else if (dp(s - 1)(e) > dp(s)(e - 1))
			{
				result = b.charAt(e - 1).toString() + result;
				e -= 1;
			}
			else
			{
				result = a.charAt(s - 1).toString() + result;
				s -= 1;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = a.charAt(s - 1).toString() + result;
			s -= 1;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = b.charAt(e - 1).toString() + result;
			e -= 1;
		}
		// Display calculated result
		println(" Length : " + min);
		println(" Result : " + result);
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Supersequence = new Supersequence();
		// Test A
		// String a : abc
		// String b : fab
		// [fabc] Supersequence 
		// Result = 4
		task.findSCS("abc", "fab");
		// Test B
		// String a : project
		// String b : objects
		// [probjects]  
		// Result : 9
		task.findSCS("project", "objects");
		// Test C
		// String a : match
		// String b : attack
		// [mattachk,matatchk,mattackh] etc
		// Result : 8 (length of Supersequence)
		task.findSCS("match", "attack");
		// Test D
		// String a : abc
		// String b : abc
		// [abc] etc
		// Result : 3 
		task.findSCS("abc", "abc");
	}
}

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
import Foundation;
/*
    Swift 4 program for
    Printing Shortest Common Supersequence
*/
class Supersequence
{
	// Returns minimum of given values
	func minValue(_ x: Int, _ y: Int) -> Int
	{
		if (x < y)
		{
			return x;
		}
		return y;
	}
	// Find length of shortest common Supersequence 
	func findSCS(_ a1: String, _ b1: String)
	{
      	let a = Array(a1);
      	let b = Array(b1);
		let n: Int = a.count;
		let m: Int = b.count;
		var result: String = "";
		// Auxiliary space
		var dp: [
			[Int]
		] = Array(
          repeating: Array(repeating: 0, count: m + 1), 
          count: n + 1);
		var i: Int = 0;
		// Outer loop, executing this from 0 to n (length of a)
		while (i <= n)
		{
			var j: Int = 0;
			// Inner loop, executing this from 0 to m (length of b)
			while (j <= m)
			{
				if (i == 0)
				{
					// When i is zero
					dp[i][j] = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp[i][j] = i;
				}
				else if (a[i - 1] == b[j - 1])
				{
					//  When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp[i][j] = self.minValue(dp[i][j - 1], dp[i - 1][j]) + 1;
				}
				j += 1;
			}
			i += 1;
		}
		// Display given strings
		print(" Given string a : ", a1);
		print(" Given string b : ", b1);
		let min: Int = dp[n][m];
		var s: Int = n;
		var e: Int = m;
		while (s > 0 && e > 0)
		{
			if (a[s - 1] == b[e - 1])
			{
				// When both string character at position are same from end
				result = String(a[s - 1]) + result;
				s -= 1;
				e -= 1;
			}
			else if (dp[s - 1][e] > dp[s][e - 1])
			{
				result = String(b[e - 1]) + result;
				e -= 1;
			}
			else
			{
				result = String(a[s - 1]) + result;
				s -= 1;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = String(a[s - 1]) + result;
			s -= 1;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = String(b[e - 1]) + result;
			e -= 1;
		}
		// Display calculated result
		print(" Length : ", min);
		print(" Result : ", result);
	}
}
func main()
{
	let task: Supersequence = Supersequence();
	// Test A
	// String a : abc
	// String b : fab
	// [fabc] Supersequence 
	// Result = 4
	task.findSCS("abc", "fab");
	// Test B
	// String a : project
	// String b : objects
	// [probjects]  
	// Result : 9
	task.findSCS("project", "objects");
	// Test C
	// String a : match
	// String b : attack
	// [mattachk,matatchk,mattackh] etc
	// Result : 8 (length of Supersequence)
	task.findSCS("match", "attack");
	// Test D
	// String a : abc
	// String b : abc
	// [abc] etc
	// Result : 3 
	task.findSCS("abc", "abc");
}
main();

Output

 Given string a :  abc
 Given string b :  fab
 Length :  4
 Result :  fabc
 Given string a :  project
 Given string b :  objects
 Length :  9
 Result :  probjects
 Given string a :  match
 Given string b :  attack
 Length :  8
 Result :  mattackh
 Given string a :  abc
 Given string b :  abc
 Length :  3
 Result :  abc
/*
    Kotlin program for
    Printing Shortest Common Supersequence
*/
class Supersequence
{
	// Returns minimum of given values
	fun minValue(x: Int, y: Int): Int
	{
		if (x < y)
		{
			return x;
		}
		return y;
	}
	// Find length of shortest common Supersequence 
	fun findSCS(a: String, b: String): Unit
	{
		val n: Int = a.length;
		val m: Int = b.length;
		var result: String = "";
		// Auxiliary space
		var dp: Array < Array < Int >> = Array(n + 1)
		{
			Array(m + 1)
			{
				0
			}
		};
		var i: Int = 0;
		// Outer loop, executing this from 0 to n (length of a)
		while (i <= n)
		{
			var j: Int = 0;
			// Inner loop, executing this from 0 to m (length of b)
			while (j <= m)
			{
				if (i == 0)
				{
					// When i is zero
					dp[i][j] = j;
				}
				else if (j == 0)
				{
					// When j is zero
					dp[i][j] = i;
				}
				else if (a.get(i - 1) == b.get(j - 1))
				{
					//  When character of i-1 and j-1 position are same
					dp[i][j] = dp[i - 1][j - 1] + 1;
				}
				else
				{
					//  When character of i-1 and j-1 position are not same
					dp[i][j] = this.minValue(dp[i][j - 1], dp[i - 1][j]) + 1;
				}
				j += 1;
			}
			i += 1;
		}
		// Display given strings
		println(" Given string a : " + a);
		println(" Given string b : " + b);
		val min: Int = dp[n][m];
		var s: Int = n;
		var e: Int = m;
		while (s > 0 && e > 0)
		{
			if (a.get(s - 1) == b.get(e - 1))
			{
				// When both string character at position are same from end
				result = a.get(s - 1).toString() + result;
				s -= 1;
				e -= 1;
			}
			else if (dp[s - 1][e] > dp[s][e - 1])
			{
				result = b.get(e - 1).toString() + result;
				e -= 1;
			}
			else
			{
				result = a.get(s - 1).toString() + result;
				s -= 1;
			}
		}
		// Collect remaining character of first string
		while (s > 0)
		{
			result = a.get(s - 1).toString() + result;
			s -= 1;
		}
		// Collect remaining character of second string 
		while (e > 0)
		{
			result = b.get(e - 1).toString() + result;
			e -= 1;
		}
		// Display calculated result
		println(" Length : " + min);
		println(" Result : " + result);
	}
}
fun main(args: Array < String > ): Unit
{
	val task: Supersequence = Supersequence();
	// Test A
	// String a : abc
	// String b : fab
	// [fabc] Supersequence 
	// Result = 4
	task.findSCS("abc", "fab");
	// Test B
	// String a : project
	// String b : objects
	// [probjects]  
	// Result : 9
	task.findSCS("project", "objects");
	// Test C
	// String a : match
	// String b : attack
	// [mattachk,matatchk,mattackh] etc
	// Result : 8 (length of Supersequence)
	task.findSCS("match", "attack");
	// Test D
	// String a : abc
	// String b : abc
	// [abc] etc
	// Result : 3 
	task.findSCS("abc", "abc");
}

Output

 Given string a : abc
 Given string b : fab
 Length : 4
 Result : fabc
 Given string a : project
 Given string b : objects
 Length : 9
 Result : probjects
 Given string a : match
 Given string b : attack
 Length : 8
 Result : mattackh
 Given string a : abc
 Given string b : abc
 Length : 3
 Result : abc
Last updated on by Kalkicode




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