First version for presentation

css/style.css

-div {
-}
 table {
   table-layout: fixed;
   width: 300px;
@@ -10,7 +8,4 @@ table {
 }
 td {
   border: 1px solid grey;
-  /*color: red;
-  background-color: white;
-  text-align: center;*/
 }
\ No newline at end of file

index.php

@@ -19,7 +19,18 @@ require_once './data/sample.php';
 	    if (empty($data->err) == 0) {echo $data->err;} 
 	        else 
 	        {
+	    	 echo "<p>This is the input array:</p>";
+	    	 foreach ($tbl->data as $key => $value) 
+	    	    {
+	    	    	echo "[$key] = $value<br>";
+	    	    	foreach ($value as $a => $b) 
+	    	    	{
+	    	    	  echo "{$a} => $b<br>";
+	    	    	}
+	    	    }
 	    echo "<br>";
+		$tbl->html_table();
+		echo "<p>This is the output array:</p>";
 		foreach ($tbl->data as $key => $value) 
 	    	    {
 	    	    	echo "[$key] = $value<br>";
@@ -28,11 +39,16 @@ require_once './data/sample.php';
 	    	    	  echo "{$a} => $b<br>";
 	    	    	}
 	    	    }
-		$tbl->html_matrix()
-		?>
-		</table>
-	</div>
+	    echo "<p>This is the matrix:</p>";
+		foreach ($tbl->matrix as $key => $value) 
+	    	    {
+	    	    	echo "[$key] = $value<br>";
+	    	    	foreach ($value as $a => $b) 
+	    	    	{
+	    	    	  echo "{$a} => $b<br>";
+	    	    	}
+	    	    } ?>
 </div>
 </body>
 </html>
-<?php } ?>
+     <?php } ?>

lib/class.php

 <?php
 class Check 
 {
-	public $data;
+	public $data; // input array
 	public $sim; 
-	public $matrix;
-	public $alibaba;
-	public $err;
-    public $cnt;
-    public $max;
-    public $temp;
-    public $stoplist;
-    public $k;
+	public $matrix; // array of data keys for output 
+	public $err; // data validation errors
+    public $cnt; // number of rectangles
+    public $max; // the size of square
+    //public $temp; // temp data
 
-public function __construct($data) // output $cnt - значений квадратов в таблице, $max - сторона квадрат, $sim['keys'] $err -проверка на ошибки
+public function __construct($data)
 	{
 		// assign var $data value $input
 		$this->data = $data;
@@ -47,30 +44,30 @@ public function __construct($data) // output $cnt - значений квадр
 					$this->err = "Variable names in the array are not valid.";
 					break;
 				}
-				// убираем лишние пробелы
 				str_replace(" ", "", $this->data{$k}['cells']);
-               // извлекаем цифры в массив
 				$this->temp['temp_keys'] = explode(",", $this->data{$k}['cells']);
-				$this->sim['keys'][$k] = $this->temp['temp_keys']; //html table`s key
-				$this->temp['cnt'] = array_merge($this->temp['cnt'], $this->temp['temp_keys']); // складываем массивы, получаем все значение целлс входные
+				$this->sim['keys'][$k] = $this->temp['temp_keys'];
+				$this->temp['cnt'] = array_merge($this->temp['cnt'], $this->temp['temp_keys']);
 			}
-			ksort ($this->sim['keys']); //сортирует массив по ключам
-			unset($k);
-			$this->temp['count']['1'] = count($this->temp['cnt']); //считаем
+			ksort ($this->sim['keys']);
+			$this->temp['count']['1'] = count($this->temp['cnt']);
 			$this->temp['cnt'] = array_flip($this->temp['cnt']);
 			$this->temp['count']['2'] = count(array_flip($this->temp['cnt']));
-			if ($this->temp['count']['1'] !== $this->temp['count']['2']) {$this->err = "The numbers of the squares coincide in 'cells'. Please enter correct data";}
+			if ($this->temp['count']['1'] !== $this->temp['count']['2']) 
+				{
+					$this->err = "The numbers of the squares coincide in 'cells'. Please enter correct data";
+				}
 			 else 
 			 {
 			  sort($this->temp['cnt']);
 			  $this->max = end($this->temp['cnt']);
 			  $this->max = ceil(sqrt($this->max));
 			 }
-			unset($temp);
+			unset($temp, $k);
 		}
-
 	}
- public function html_matrix()
+
+ public function html_table()
 	{  
 		$this->street = 1;
 		$this->sim['k'] = [];
@@ -79,14 +76,13 @@ public function __construct($data) // output $cnt - значений квадр
 		for ($mm = 0; $mm < $this->cnt; ++$mm) 
 		{
 			$sch = count($this->sim['keys'][$mm]);
-			//print_r ($this->sim['keys'][$mm]);
 			for ($p = 0; $p < $sch; ++$p)
 			{
 				$this->sim['k'] = array($this->sim['keys'][$mm][$p] => $mm);
-				$this->sim['street'] = $this->sim['street'] + $this->sim['k']; // складываем массивы, получаем все значение целлс входные
+				$this->sim['street'] = $this->sim['street'] + $this->sim['k'];
 			}
 		}
-		// создаём матрицу
+		// create a matrix
 		for ($str = 1; $str <= $max; ++$str) 
 		{
 			for ($col=1; $col <= $max; ++$col) 
@@ -110,7 +106,8 @@ public function __construct($data) // output $cnt - значений квадр
 	 foreach ($this->data as $key => $value) 
 	 {
 	 	
-	 	$this->data[$key] =  $this->data[$key] + ['colspan' => 0, 
+	 	$this->data[$key] =  $this->data[$key] + [
+	 		                                      'colspan' => 0, 
 	 											  'rowspan' => 0, 
 	 											  'colspan_flag' => 0, 
 	 											  'rowspan_flag' => 0,
@@ -150,7 +147,7 @@ public function __construct($data) // output $cnt - значений квадр
 			        	}
 			   }		
 		}
-	
+	// displaying the table on the screen
      $this->t = "#";
      echo "<table>";
 	 	for ($str = 1; $str <= $max; ++$str)