Find duplicate rows in a binary matrix

Here given code implementation process.

/*
  C++ program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
#include<iostream>
#define R 8
#define C 7
using namespace std;
class Node
{
	public:
		//Indicates end of string
		bool end;
	Node **children;
	Node()
	{
		this->end = false;
		this->children = new Node*[2];
	}
};
class TrieTree
{
	public: Node *root;
	TrieTree()
	{
		this->root = new Node();
	}
	bool insert(int row[], int cols)
	{
		//This variable are used to task find the index location of character
		int index = 0;
		//get the root node
		Node *head = this->root;
		bool status = true;
		for (int level = 0; level < cols; level++)
		{
			//Get the index
			index = row[level];
			if (head->children[index] == NULL)
			{
				//When need to add new Node
				head->children[index] = new Node();
				//when modified trie tree
				status = false;
			}
			head = head->children[index];
		}
		if (head != NULL)
		{
			//indicates end of string
			head->end = true;
		}
		return status;
	}
	void display(int matrix[R][C], int rows, int cols)
	{
		for (int i = 0; i < rows; ++i)
		{
			cout << " Row [" << i << "] : ";
			for (int j = 0; j < cols; ++j)
			{
				cout << " " << matrix[i][j];
			}
			cout << "\n";
		}
		cout << "\n";
	}
};
int main()
{
	//Make object
	TrieTree obj =  TrieTree();
	int matrix[R][C] = {
		{
			1,
			0,
			1,
			1,
			0,
			1,
			1
		},
		{
			0,
			0,
			0,
			1,
			0,
			1,
			1
		},
		{
			1,
			0,
			1,
			1,
			0,
			1,
			1
		},
		{
			0,
			0,
			0,
			0,
			0,
			0,
			0
		},
		{
			1,
			0,
			1,
			1,
			0,
			1,
			1
		},
		{
			0,
			0,
			0,
			0,
			0,
			0,
			0
		},
		{
			1,
			0,
			0,
			1,
			0,
			1,
			1
		},
		{
			0,
			0,
			0,
			1,
			0,
			1,
			1
		},
		
	};
	bool status = false;
	obj.display(matrix, R, C);
	for (int i = 0; i < R; i++)
	{
		//pass row matrix[i]
		status = obj.insert(matrix[i], C);
		if (status == true)
		{
			cout << " Row "<<i<<" are Duplicate\n";
		}
	}
	return 0;
}

Output

 Row [0] :  1 0 1 1 0 1 1
 Row [1] :  0 0 0 1 0 1 1
 Row [2] :  1 0 1 1 0 1 1
 Row [3] :  0 0 0 0 0 0 0
 Row [4] :  1 0 1 1 0 1 1
 Row [5] :  0 0 0 0 0 0 0
 Row [6] :  1 0 0 1 0 1 1
 Row [7] :  0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
/*
  C# program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
using System;
public class Node
{
	//Indicates end of string
	public Boolean end;
	public Node[] children;
	public
	Node()
	{
		end = false;
		children = new Node[2];
	}
}
public class TrieTree
{
	public Node root;
	public TrieTree()
	{
		root = new Node();
	}
	public Boolean insert(int [,]matrix,int row, int cols)
	{
		//This variable are used to task find the index location of character
		int index = 0;
		//get the root node
		Node head = root;
		Boolean status = true;
		for (int level = 0; level < cols; level++)
		{
			//Get the index
			index = matrix[row,level];
			if (head.children[index] == null)
			{
				//When need to add new Node
				head.children[index] = new Node();
				//when modified trie tree
				status = false;
			}
			head = head.children[index];
		}
		if (head != null)
		{
			//indicates end of string
			head.end = true;
		}
		return status;
	}
	public void display(int[,] matrix, int rows, int cols)
	{
		for (int i = 0; i < rows; i++)
		{
			Console.Write(" Row [" + i + "] : ");
			for (int j = 0; j < cols; j++)
			{
				Console.Write(" " + matrix[i,j]);
			}
			Console.Write("\n");
		}
		Console.Write("\n");
	}
	public static void Main(String[] args)
	{
		//Make object
		TrieTree obj = new TrieTree();
		int [,] matrix =     {
        {1,0,1,1,0,1,1},
        {0,0,0,1,0,1,1},
        {1,0,1,1,0,1,1},
        {0,0,0,0,0,0,0},
        {1,0,1,1,0,1,1},
        {0,0,0,0,0,0,0},
        {1,0,0,1,0,1,1},
        {0,0,0,1,0,1,1}
    };
			
		Boolean status = false;
		//Get the size of matrix
		int rows = matrix.GetLength(0);
		int cols = matrix.GetLength(1);
		obj.display(matrix, rows, cols);
		for (int i = 0; i < rows; i++)
		{
			//pass row matrix[i]
			status = obj.insert(matrix,i, cols);
			if (status == true)
			{
				Console.Write(" Row " + i + " are Duplicate\n");
			}
		}
	}
}

Output

 Row [0] :  1 0 1 1 0 1 1
 Row [1] :  0 0 0 1 0 1 1
 Row [2] :  1 0 1 1 0 1 1
 Row [3] :  0 0 0 0 0 0 0
 Row [4] :  1 0 1 1 0 1 1
 Row [5] :  0 0 0 0 0 0 0
 Row [6] :  1 0 0 1 0 1 1
 Row [7] :  0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
/*
  Java program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
class Node
{
  //Indicates end of string
  public boolean end;
  public Node[] children;
  public Node()
  {
    end = false;
    children = new Node[2];
  }
}
public class TrieTree
{
  public Node root;
  public TrieTree()
  {
    root = new Node();
  }
  public boolean insert(int []row,int cols)
  {

    //This variable are used to task find the index location of character
    int index = 0;
    //get the root node
    Node head = root;
    boolean status = true;
    for (int level = 0; level < cols; level++)
    {
      //Get the index
      index = row[level];
      if (head.children[index] == null)
      {
        //When need to add new Node
        head.children[index] = new Node();
        //when modified trie tree
        status = false;
      }
      head = head.children[index];
    }
    if (head != null)
    {
      //indicates end of string
      head.end = true;
    }
    return status;
  }
  public void display(int[][] matrix,int rows,int cols)
  {

    for (int i = 0; i < rows; ++i)
    {
      System.out.print(" Row  [" + i + "] : ");
      for (int j = 0; j < cols; ++j)
      {
        System.out.print("  " + matrix[i][j]);
      }
      System.out.print("\n");
    }
    System.out.print("\n");
  }
  public static void main(String[] args)
  {
    //Make object
    TrieTree obj = new TrieTree();
    int matrix[][] =
    {
        {1,0,1,1,0,1,1},
        {0,0,0,1,0,1,1},
        {1,0,1,1,0,1,1},
        {0,0,0,0,0,0,0},
        {1,0,1,1,0,1,1},
        {0,0,0,0,0,0,0},
        {1,0,0,1,0,1,1},
        {0,0,0,1,0,1,1},
    };
    boolean status = false;
    //Get the size of matrix
    
    int rows = matrix.length;
    int cols = matrix[0].length;
    obj.display(matrix,rows,cols);
    
    for (int i = 0; i < rows; i++)
    {
      //pass row matrix[i]
      status = obj.insert(matrix[i],cols);
      if (status == true)
      {
        System.out.print(" Row "+i+" are Duplicate\n");
      }
    }
  }
}

Output

 Row [0] :  1 0 1 1 0 1 1
 Row [1] :  0 0 0 1 0 1 1
 Row [2] :  1 0 1 1 0 1 1
 Row [3] :  0 0 0 0 0 0 0
 Row [4] :  1 0 1 1 0 1 1
 Row [5] :  0 0 0 0 0 0 0
 Row [6] :  1 0 0 1 0 1 1
 Row [7] :  0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
<?php
/*
  Php program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
class Node
{
	//Indicates end of string
	public $end;
	public $children;

	function __construct()
	{
		$this->end = false;
		$this->children = array_fill(0, 2, null);
	}
}
class TrieTree
{
	public $root;

	function __construct()
	{
		$this->root = new Node();
	}
	public 	function insert( & $row, $cols)
	{
		//This variable are used to task find the index location of character
		$index = 0;
		//get the root node
		$head = $this->root;
		$status = true;
		for ($level = 0; $level < $cols; $level++)
		{
			//Get the index
			$index = $row[$level];
			if ($head->children[$index] == null)
			{
				//When need to add new Node
				$head->children[$index] = new Node();
				//when modified trie tree
				$status = false;
			}
			$head = $head->children[$index];
		}
		if ($head != null)
		{
			//indicates end of string
			$head->end = true;
		}
		return $status;
	}
	public 	function display( & $matrix, $rows, $cols)
	{
		for ($i = 0; $i < $rows; ++$i)
		{
			echo(" Row [". $i ."] : ");
			for ($j = 0; $j < $cols; ++$j)
			{
				echo(" ". $matrix[$i][$j]);
			}
			echo("\n");
		}
		echo("\n");
	}
}

function main()
{
	//Make object
	$obj = new TrieTree();
	$matrix = array(array(1, 0, 1, 1, 0, 1, 1), 
                    array(0, 0, 0, 1, 0, 1, 1), 
                    array(1, 0, 1, 1, 0, 1, 1), 
                    array(0, 0, 0, 0, 0, 0, 0), 
                    array(1, 0, 1, 1, 0, 1, 1), 
                    array(0, 0, 0, 0, 0, 0, 0),
                    array(1, 0, 0, 1, 0, 1, 1), 
                    array(0, 0, 0, 1, 0, 1, 1));
	$status = false;
	//Get the size of matrix
	$rows = count($matrix);
	$cols = count($matrix[0]);
	$obj->display($matrix, $rows, $cols);
	for ($i = 0; $i < $rows; $i++)
	{
		//pass row matrix[i]
		$status = $obj->insert($matrix[$i], $cols);
		if ($status == true)
		{
			echo(" Row ". $i ." are Duplicate\n");
		}
	}
}
main();

Output

 Row [0] :  1 0 1 1 0 1 1
 Row [1] :  0 0 0 1 0 1 1
 Row [2] :  1 0 1 1 0 1 1
 Row [3] :  0 0 0 0 0 0 0
 Row [4] :  1 0 1 1 0 1 1
 Row [5] :  0 0 0 0 0 0 0
 Row [6] :  1 0 0 1 0 1 1
 Row [7] :  0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
/*
  Node Js program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
class Node
{
	//Indicates end of string
	constructor()
	{
		this.end = false;
		this.children = Array(2).fill(null);
	}
}
class TrieTree
{
	constructor()
	{
		this.root = new Node();
	}
	insert(row, cols)
	{
		//This variable are used to task find the index location of character
		var index = 0;
		//get the root node
		var head = this.root;
		var status = true;
		for (var level = 0; level < cols; level++)
		{
			//Get the index
			index = row[level];
			if (head.children[index] == null)
			{
				//When need to add new Node
				head.children[index] = new Node();
				//when modified trie tree
				status = false;
			}
			head = head.children[index];
		}
		if (head != null)
		{
			//indicates end of string
			head.end = true;
		}
		return status;
	}
	display(matrix, rows, cols)
	{
		for (var i = 0; i < rows; ++i)
		{
			process.stdout.write(" Row [" + i + "] : ");
			for (var j = 0; j < cols; ++j)
			{
				process.stdout.write(" " + matrix[i][j]);
			}
			process.stdout.write("\n");
		}
		process.stdout.write("\n");
	}
}

function main(args)
{
	//Make object
	var obj = new TrieTree();
	var matrix = [
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 0, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1]
	];
	var status = false;
	//Get the size of matrix
	var rows = matrix.length;
	var cols = matrix[0].length;
	obj.display(matrix, rows, cols);
	for (var i = 0; i < rows; i++)
	{
		//pass row matrix[i]
		status = obj.insert(matrix[i], cols);
		if (status == true)
		{
			process.stdout.write(" Row " + i + " are Duplicate\n");
		}
	}
}
main();

Output

 Row [0] :  1 0 1 1 0 1 1
 Row [1] :  0 0 0 1 0 1 1
 Row [2] :  1 0 1 1 0 1 1
 Row [3] :  0 0 0 0 0 0 0
 Row [4] :  1 0 1 1 0 1 1
 Row [5] :  0 0 0 0 0 0 0
 Row [6] :  1 0 0 1 0 1 1
 Row [7] :  0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
# 
#   Python 3 program
#   Find duplicate rows in a binary matrix
#   Using Trie Tree

class Node :
	# Indicates end of string
	
	def __init__(self) :
		self.end = False
		self.children = [None] * 2
	

class TrieTree :
	
	def __init__(self) :
		self.root = Node()
	
	def insert(self, row, cols) :
		# This variable are used to task find the index location of character
		index = 0
		# get the root node
		head = self.root
		status = True
		level = 0
		while (level < cols) :
			# Get the index
			index = row[level]
			if (head.children[index] == None) :
				# When need to add new Node
				head.children[index] = Node()
				# when modified trie tree
				status = False
			
			head = head.children[index]
			level += 1
		
		if (head != None) :
			# indicates end of string
			head.end = True
		
		return status
	
	def display(self, matrix, rows, cols) :
		i = 0
		while (i < rows) :
			print(" Row [", i ,"] : ", end = "")
			j = 0
			while (j < cols) :
				print(" ", matrix[i][j], end = "")
				j += 1
			
			print("\n", end = "")
			i += 1
		
		print("\n", end = "")
	

def main() :
	# Make object
	obj = TrieTree()
	matrix = [
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 0, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1]
	]
	status = False
	# Get the size of matrix
	rows = len(matrix)
	cols = len(matrix[0])
	obj.display(matrix, rows, cols)
	i = 0
	while (i < rows) :
		# pass row matrix[i]
		status = obj.insert(matrix[i], cols)
		if (status == True) :
			print(" Row ", i ," are Duplicate\n", end = "")
		
		i += 1
	


if __name__ == "__main__": main()

Output

 Row [ 0 ] :   1  0  1  1  0  1  1
 Row [ 1 ] :   0  0  0  1  0  1  1
 Row [ 2 ] :   1  0  1  1  0  1  1
 Row [ 3 ] :   0  0  0  0  0  0  0
 Row [ 4 ] :   1  0  1  1  0  1  1
 Row [ 5 ] :   0  0  0  0  0  0  0
 Row [ 6 ] :   1  0  0  1  0  1  1
 Row [ 7 ] :   0  0  0  1  0  1  1

 Row  2  are Duplicate
 Row  4  are Duplicate
 Row  5  are Duplicate
 Row  7  are Duplicate
#   Ruby program
#   Find duplicate rows in a binary matrix
#   Using Trie Tree

class Node
    # Define the accessor and reader of class Node
    attr_reader :last,  :children
    attr_accessor :last,  :children

	# Indicates end of string
	
	def initialize()
	
		@last = false
		@children = Array.new(2) {nil}
	end
end
class TrieTree
    # Define the accessor and reader of class TrieTree
    attr_reader :root
    attr_accessor :root

	
	def initialize()
	
		@root = Node.new()
	end
	def insert(row, cols)
	
		# This variable are used to task find the index location of character
		index = 0
		# get the root node
		head = @root
		status = true
		level = 0
		while (level < cols)
		
			# Get the index
			index = row[level]
			if (head.children[index] == nil)
			
				# When need to add new Node
				head.children[index] = Node.new()
				# when modified trie tree
				status = false
			end
			head = head.children[index]
			level += 1
		end
		if (head != nil)
		
			# indicates end of string
			head.last = true
		end
		return status
	end
	def display(matrix, rows, cols)
	
		i = 0
		while (i < rows)
		
			print(" Row [", i ,"]  :")
			j = 0
			while (j < cols)
			
				print(" ", matrix[i][j])
				j += 1
			end
			print("\n")
			i += 1
		end
		print("\n")
	end
end
def main()

	# Make object
	obj = TrieTree.new()
	matrix = [
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 0, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1]
	]
	status = false
	# Get the size of matrix
	rows = matrix.length
	cols = matrix[0].length
	obj.display(matrix, rows, cols)
	i = 0
	while (i < rows)
	
		# pass row matrix[i]
		status = obj.insert(matrix[i], cols)
		if (status == true)
		
			print(" Row ", i ," are Duplicate\n")
		end
		i += 1
	end
end
main()

Output

 Row [0]  : 1 0 1 1 0 1 1
 Row [1]  : 0 0 0 1 0 1 1
 Row [2]  : 1 0 1 1 0 1 1
 Row [3]  : 0 0 0 0 0 0 0
 Row [4]  : 1 0 1 1 0 1 1
 Row [5]  : 0 0 0 0 0 0 0
 Row [6]  : 1 0 0 1 0 1 1
 Row [7]  : 0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
/*
  Scala program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
class Node(var last: Boolean,
	var children: Array[Node])
{
	//Indicates end of string
	def this()
	{
		this(false,Array.fill[Node](2)(null));
	}
}
class TrieTree(var root: Node)
{
	def this()
	{
		this(new Node());
	}
	def insert(row: Array[Int], cols: Int): Boolean = {
		//This variable are used to task find the index location of character
		var index: Int = 0;
		//get the root node
		var head: Node = root;
		var status: Boolean = true;
		var level: Int = 0;
		while (level < cols)
		{
			//Get the index
			index = row(level);
			if (head.children(index) == null)
			{
				//When need to add new Node
				head.children(index) = new Node();
				//when modified trie tree
				status = false;
			}
			head = head.children(index);
			level += 1;
		}
		if (head != null)
		{
			//indicates end of string
			head.last = true;
		}
		return status;
	}
	def display(matrix: Array[Array[Int]], rows: Int, cols: Int): Unit = {
		var i: Int = 0;
		while (i < rows)
		{
			print(" Row [" + i + "] : ");
			var j: Int = 0;
			while (j < cols)
			{
				print(" " + matrix(i)(j));
				j += 1;
			}
			print("\n");
			i += 1;
		}
		print("\n");
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		//Make object
		var obj: TrieTree = new TrieTree();
		var matrix: Array[Array[Int]] = Array(
          Array(1, 0, 1, 1, 0, 1, 1), 
          Array(0, 0, 0, 1, 0, 1, 1), 
          Array(1, 0, 1, 1, 0, 1, 1), 
          Array(0, 0, 0, 0, 0, 0, 0), 
          Array(1, 0, 1, 1, 0, 1, 1), 
          Array(0, 0, 0, 0, 0, 0, 0), 
          Array(1, 0, 0, 1, 0, 1, 1), 
          Array(0, 0, 0, 1, 0, 1, 1));
		var status: Boolean = false;
		//Get the size of matrix
		var rows: Int = matrix.length;
		var cols: Int = matrix(0).length;
		obj.display(matrix, rows, cols);
		var i: Int = 0;
		while (i < rows)
		{
			//pass row matrix[i]
			status = obj.insert(matrix(i), cols);
			if (status == true)
			{
				print(" Row " + i + " are Duplicate\n");
			}
			i += 1;
		}
	}
}

Output

 Row [0] :  1 0 1 1 0 1 1
 Row [1] :  0 0 0 1 0 1 1
 Row [2] :  1 0 1 1 0 1 1
 Row [3] :  0 0 0 0 0 0 0
 Row [4] :  1 0 1 1 0 1 1
 Row [5] :  0 0 0 0 0 0 0
 Row [6] :  1 0 0 1 0 1 1
 Row [7] :  0 0 0 1 0 1 1

 Row 2 are Duplicate
 Row 4 are Duplicate
 Row 5 are Duplicate
 Row 7 are Duplicate
/*
  Swift program
  Find duplicate rows in a binary matrix
  Using Trie Tree
*/
class Node
{
	//Indicates end of string
	var last: Bool;
	var children: [Node?]=[Node]();
	init()
	{
		self.last = false;
		  var i = 0;
        while (i<2) {
          self.children.append(nil);
          i+=1;
        }
	}
}
class TrieTree
{
	var root: Node? ;
	init()
	{
		self.root = Node();
	}
	func insert(_ row: [Int], _ cols: Int) -> Bool
	{
		//This variable are used to task find the index location of character
		var index: Int = 0;
		//get the root node
		var head: Node? = self.root;
		var status: Bool = true;
		var level: Int = 0;
		while (level < cols)
		{
			//Get the index
			index = row[level];
			if (head!.children[index] == nil)
			{
				//When need to add new Node
				head!.children[index] = Node();
				//when modified trie tree
				status = false;
			}
			head = head!.children[index];
			level += 1;
		}
		if (head != nil)
		{
			//indicates end of string
			head!.last = true;
		}
		return status;
	}
	func display(_ matrix: [
		[Int]
	], _ rows: Int, _ cols: Int)
	{
		var i: Int = 0;
		while (i < rows)
		{
			print(" Row [", i ,"] : ", terminator: "");
			var j: Int = 0;
			while (j < cols)
			{
				print(" ", matrix[i][j], terminator: "");
				j += 1;
			}
			print("\n", terminator: "");
			i += 1;
		}
		print("\n", terminator: "");
	}
}
func main()
{
	//Make object
	let obj: TrieTree = TrieTree();
    var matrix : [[Int]] = [
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 1, 1, 0, 1, 1],
		[0, 0, 0, 0, 0, 0, 0],
		[1, 0, 0, 1, 0, 1, 1],
		[0, 0, 0, 1, 0, 1, 1]
	];
	var status: Bool = false;
	//Get the size of matrix
	let rows: Int = matrix.count;
	let cols: Int = matrix[0].count;
	obj.display(matrix, rows, cols);
	var i: Int = 0;
	while (i < rows)
	{
		//pass row matrix[i]
		status = obj.insert(matrix[i], cols);
		if (status == true)
		{
			print(" Row ", i ," are Duplicate\n", terminator: "");
		}
		i += 1;
	}
}
main();

Output

 Row [ 0 ] :   1  0  1  1  0  1  1
 Row [ 1 ] :   0  0  0  1  0  1  1
 Row [ 2 ] :   1  0  1  1  0  1  1
 Row [ 3 ] :   0  0  0  0  0  0  0
 Row [ 4 ] :   1  0  1  1  0  1  1
 Row [ 5 ] :   0  0  0  0  0  0  0
 Row [ 6 ] :   1  0  0  1  0  1  1
 Row [ 7 ] :   0  0  0  1  0  1  1

 Row  2  are Duplicate
 Row  4  are Duplicate
 Row  5  are Duplicate
 Row  7  are Duplicate


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