Display Trinomial triangle

Here given code implementation process.

//C Program 
//Display Trinomial triangle
#include <stdio.h>

#include <stdlib.h>

int sum_result(int result[], int row, int col, int size)
{
	int ans = 0;
	//Check boundary condition
	if (row >= 0 && row < size && col >= 0 && col < (size * 2))
	{
		if (col - 1 >= 0)
		{
			//When fill result column is greater than zero
			ans += result[(row) * (size * 2) + (col - 1)];
		}
		//get the result of just above element of resultant matrix
		ans += result[(row) * (size * 2) + (col)];
		if (col + 1 < (size * 2))
		{
			ans += result[(row) * (size * 2) + (col + 1)];
		}
	}
	return ans;
}
//Display result of trinomial triangle
void show(int result[], int size)
{
	for (int i = 0; i < size; ++i)
	{
		for (int j = 0; j < size * 2; ++j)
		{
			if (result[(i * (size * 2)) + j] != 0)
			{
				printf("%d\t", result[(i * (size * 2)) + j]);
			}
			else if (j != 0)
			{
				printf("\t");
			}
		}
		printf("\n");
	}
}
//Set default value of resultant array
void set_default(int result[], int size)
{
	for (int i = 0; i < size; ++i)
	{
		result[i] = 0;
	}
}
void trinomial_triangle(int size)
{
	printf("\n ROW  SIZE : %d\n", size);
	// Number of spaces are required to store trinomial triangle element
	int capacity = size * (size * 2);
	// Used to store result of trinomial triangle
	int result[capacity];
	int col = (size * 2) / 2;
	int counter = 1;
	set_default(result, capacity);
	//Set the first row element
	result[col] = 1;
	for (int i = 1; i < size; ++i)
	{
		//This is indicate number of valid operation in i-th row
		counter = counter + 2;
		col = col - 1;
		for (int j = 0; j < counter && j + col < size * 2; ++j)
		{
			//Store the result of top three closest element
			result[(i * (size * 2)) + col + j] = sum_result(result, i - 1, col + j, size);
		}
	}
	show(result, size);
}
int main()
{
	//Test Cases
	trinomial_triangle(5);
	trinomial_triangle(7);
	return 0;
}

Output

 ROW  SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW  SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
// Java Program
// Display Trinomial Triangle
class MyPattern
{
	public int sum_result(int[] result, int row, int col, int size)
	{
		int ans = 0;
		//Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size * 2))
		{
			if (col - 1 >= 0)
			{
				//When fill result column is greater than zero
				ans += result[(row) * (size * 2) + (col - 1)];
			}
			//get the result of just above element of resultant matrix
			ans += result[(row) * (size * 2) + (col)];
			if (col + 1 < (size * 2))
			{
				ans += result[(row) * (size * 2) + (col + 1)];
			}
		}
		return ans;
	}
	//Display result of trinomial triangle
	public void show(int[] result, int size)
	{
		for (int i = 0; i < size; ++i)
		{
			for (int j = 0; j < size * 2; ++j)
			{
				if (result[(i * (size * 2)) + j] != 0)
				{
					System.out.print("" + result[(i * (size * 2)) + j] + "\t");
				}
				else if (j != 0)
				{
					System.out.print("\t");
				}
			}
			System.out.print("\n");
		}
	}
	//Set default value of resultant array
	public void set_default(int[] result, int size)
	{
		for (int i = 0; i < size; ++i)
		{
			result[i] = 0;
		}
	}
	public void trinomial_triangle(int size)
	{
		System.out.print("\n ROW SIZE : " + size + "\n");
		// Number of spaces are required to store trinomial triangle element
		int capacity = size * (size * 2);
		// Used to store result of trinomial triangle
		int[] result = new int[capacity];
		int col = (size * 2) / 2;
		int counter = 1;
		set_default(result, capacity);
		//Set the first row element
		result[col] = 1;
		for (int i = 1; i < size; ++i)
		{
			//This is indicate number of valid operation in i-th row
			counter = counter + 2;
			col = col - 1;
			for (int j = 0; j < counter && j + col < size * 2; ++j)
			{
				//Store the result of top three closest element
				result[(i * (size * 2)) + col + j] = sum_result(result, i - 1, col + j, size);
			}
		}
		show(result, size);
	}
	public static void main(String[] args)
	{
		MyPattern obj = new MyPattern();
		//Test Cases
		obj.trinomial_triangle(5);
		obj.trinomial_triangle(7);
	}
}

Output

 ROW SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
// C++ Program
// Display Trinomial Triangle
#include<iostream>

using namespace std;
class MyPattern
{
	public: int sum_result(int result[], int row, int col, int size)
	{
		int ans = 0;
		//Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size *2))
		{
			if (col - 1 >= 0)
			{
				//When fill result column is greater than zero
				ans += result[(row) *(size *2) + (col - 1)];
			}
			//get the result of just above element of resultant matrix
			ans += result[(row) *(size *2) + (col)];
			if (col + 1 < (size *2))
			{
				ans += result[(row) *(size *2) + (col + 1)];
			}
		}
		return ans;
	}
	//Display result of trinomial triangle
	void show(int result[], int size)
	{
		for (int i = 0; i < size; ++i)
		{
			for (int j = 0; j < size *2; ++j)
			{
				if (result[(i *(size *2)) + j] != 0)
				{
					cout << "" << result[(i *(size *2)) + j] << "\t";
				}
				else if (j != 0)
				{
					cout << "\t";
				}
			}
			cout << "\n";
		}
	}
	//Set default value of resultant array
	void set_default(int result[], int size)
	{
		for (int i = 0; i < size; ++i)
		{
			result[i] = 0;
		}
	}
	void trinomial_triangle(int size)
	{
		cout << "\n ROW SIZE : " << size << "\n";
		// Number of spaces are required to store trinomial triangle element
		int capacity = size *(size *2);
		int *result = new int[capacity];
		int col = (size *2) / 2;
		int counter = 1;
		this->set_default(result, capacity);
		//Set the first row element
		result[col] = 1;
		for (int i = 1; i < size; ++i)
		{
			//This is indicate number of valid operation in i-th row
			counter = counter + 2;
			col = col - 1;
			for (int j = 0; j < counter && j + col < size *2; ++j)
			{
				//Store the result of top three closest element
				result[(i *(size *2)) + col + j] = this->sum_result(result, i - 1, col + j, size);
			}
		}
		this->show(result, size);
	}
};
int main()
{
	MyPattern obj =  MyPattern();
	//Test Cases
	obj.trinomial_triangle(5);
	obj.trinomial_triangle(7);
	return 0;
}

Output

 ROW SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
// C# Program
// Display Trinomial Triangle
using System;
class MyPattern
{
	public int sum_result(int[] result, int row, int col, int size)
	{
		int ans = 0;
		//Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size * 2))
		{
			if (col - 1 >= 0)
			{
				//When fill result column is greater than zero
				ans += result[(row) * (size * 2) + (col - 1)];
			}
			//get the result of just above element of resultant matrix
			ans += result[(row) * (size * 2) + (col)];
			if (col + 1 < (size * 2))
			{
				ans += result[(row) * (size * 2) + (col + 1)];
			}
		}
		return ans;
	}
	//Display result of trinomial triangle
	public void show(int[] result, int size)
	{
		for (int i = 0; i < size; i++)
		{
			for (int j = 0; j < size * 2; j++)
			{
				if (result[(i * (size * 2)) + j] != 0)
				{
					Console.Write("" + result[(i * (size * 2)) + j] + "\t");
				}
				else if (j != 0)
				{
					Console.Write("\t");
				}
			}
			Console.Write("\n");
		}
	}
	//Set default value of resultant array
	public void set_default(int[] result, int size)
	{
		for (int i = 0; i < size; i++)
		{
			result[i] = 0;
		}
	}
	public void trinomial_triangle(int size)
	{
		Console.Write("\n ROW SIZE : " + size + "\n");
		// Number of spaces are required to store trinomial triangle element
		int capacity = size * (size * 2);
		int[] result = new int[capacity];
		int col = (size * 2) / 2;
		int counter = 1;
		set_default(result, capacity);
		//Set the first row element
		result[col] = 1;
		for (int i = 1; i < size; i++)
		{
			//This is indicate number of valid operation in i-th row
			counter = counter + 2;
			col = col - 1;
			for (int j = 0; j < counter && j + col < size * 2; j++)
			{
				//Store the result of top three closest element
				result[(i * (size * 2)) + col + j] = sum_result(result, i - 1, col + j, size);
			}
		}
		show(result, size);
	}
	public static void Main(String[] args)
	{
		MyPattern obj = new MyPattern();
		//Test Cases
		obj.trinomial_triangle(5);
		obj.trinomial_triangle(7);
	}
}

Output

 ROW SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
<?php
// Php Program
// Display Trinomial Triangle
class MyPattern
{
	public 	function sum_result( & $result, $row, $col, $size)
	{
		$ans = 0;
		//Check boundary condition
		if ($row >= 0 && $row < $size && $col >= 0 && $col < ($size *2))
		{
			if ($col - 1 >= 0)
			{
				//When fill result column is greater than zero
				$ans += $result[($row) *($size *2) + ($col - 1)];
			}
			//get the result of just above element of resultant matrix
			$ans += $result[($row) *($size *2) + ($col)];
			if ($col + 1 < ($size *2))
			{
				$ans += $result[($row) *($size *2) + ($col + 1)];
			}
		}
		return $ans;
	}
	//Display result of trinomial triangle
	public 	function show( & $result, $size)
	{
		for ($i = 0; $i < $size; ++$i)
		{
			for ($j = 0; $j < $size *2; ++$j)
			{
				if ($result[($i *($size *2)) + $j] != 0)
				{
					echo("". $result[($i *($size *2)) + $j] ."\t");
				}
				else if ($j != 0)
				{
					echo("\t");
				}
			}
			echo("\n");
		}
	}
	//Set default value of resultant array
	public 	function set_default( & $result, $size)
	{
		for ($i = 0; $i < $size; ++$i)
		{
			$result[$i] = 0;
		}
	}
	public 	function trinomial_triangle($size)
	{
		echo("\n ROW SIZE : ". $size ."\n");
		// Number of spaces are required to store trinomial triangle element
		$capacity = $size *($size *2);
		// Used to store result of trinomial triangle
		$result = array_fill(0, $capacity, 0);
		$col = intval(($size *2) / 2);
		$counter = 1;
		$this->set_default($result, $capacity);
		//Set the first row element
		$result[$col] = 1;
		for ($i = 1; $i < $size; ++$i)
		{
			//This is indicate number of valid operation in i-th row
			$counter = $counter + 2;
			$col = $col - 1;
			for ($j = 0; $j < $counter && $j + $col < $size *2; ++$j)
			{
				//Store the result of top three closest element
				$result[($i *($size *2)) + $col + $j] = $this->sum_result($result, $i - 1, $col + $j, $size);
			}
		}
		$this->show($result, $size);
	}
}

function main()
{
	$obj = new MyPattern();
	//Test Cases
	$obj->trinomial_triangle(5);
	$obj->trinomial_triangle(7);
}
main();

Output

 ROW SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
// Node Js Program
// Display Trinomial Triangle
class MyPattern
{
	sum_result(result, row, col, size)
	{
		var ans = 0;
		//Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size *2))
		{
			if (col - 1 >= 0)
			{
				//When fill result column is greater than zero
				ans += result[(row) *(size *2) + (col - 1)];
			}
			//get the result of just above element of resultant matrix
			ans += result[(row) *(size *2) + (col)];
			if (col + 1 < (size *2))
			{
				ans += result[(row) *(size *2) + (col + 1)];
			}
		}
		return ans;
	}
	//Display result of trinomial triangle
	show(result, size)
	{
		for (var i = 0; i < size; ++i)
		{
			for (var j = 0; j < size *2; ++j)
			{
				if (result[(i *(size *2)) + j] != 0)
				{
					process.stdout.write("" + result[(i *(size *2)) + j] + "\t");
				}
				else if (j != 0)
				{
					process.stdout.write("\t");
				}
			}
			process.stdout.write("\n");
		}
	}
	//Set default value of resultant array
	set_default(result, size)
	{
		for (var i = 0; i < size; ++i)
		{
			result[i] = 0;
		}
	}
	trinomial_triangle(size)
	{
		process.stdout.write("\n ROW SIZE : " + size + "\n");
		// Number of spaces are required to store trinomial triangle element
		var capacity = size *(size *2);
		// Used to store result of trinomial triangle
		var result = Array(capacity).fill(0);
		var col = parseInt((size *2) / 2);
		var counter = 1;
		this.set_default(result, capacity);
		//Set the first row element
		result[col] = 1;
		for (var i = 1; i < size; ++i)
		{
			//This is indicate number of valid operation in i-th row
			counter = counter + 2;
			col = col - 1;
			for (var j = 0; j < counter && j + col < size *2; ++j)
			{
				//Store the result of top three closest element
				result[(i *(size *2)) + col + j] = this.sum_result(result, i - 1, col + j, size);
			}
		}
		this.show(result, size);
	}
}

function main(args)
{
	var obj = new MyPattern();
	//Test Cases
	obj.trinomial_triangle(5);
	obj.trinomial_triangle(7);
}
main();

Output

 ROW SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
#  Python 3 Program
#  Display Trinomial Triangle
class MyPattern :
	def sum_result(self, result, row, col, size) :
		ans = 0
		# Check boundary condition
		if (row >= 0 and row < size and col >= 0 and col < (size * 2)) :
			if (col - 1 >= 0) :
				# When fill result column is greater than zero
				ans += result[(row) * (size * 2) + (col - 1)]
			
			# get the result of just above element of resultant matrix
			ans += result[(row) * (size * 2) + (col)]
			if (col + 1 < (size * 2)) :
				ans += result[(row) * (size * 2) + (col + 1)]
			
		
		return ans
	
	# Display result of trinomial triangle
	def show(self, result, size) :
		i = 0
		j = 0
		while (i < size) :
			j = 0
			while (j < size * 2) :
				if (result[(i * (size * 2)) + j] != 0) :
					print("", result[(i * (size * 2)) + j] ,"\t", end = "")
				elif (j != 0) :
					print("\t", end = "")
				
				j += 1
			
			print("\n", end = "")
			i += 1
		
	
	# Set default value of resultant array
	def set_default(self, result, size) :
		i = 0
		while (i < size) :
			result[i] = 0
			i += 1
		
	
	def trinomial_triangle(self, size) :
		print("\n ROW SIZE : ", size ,"\n", end = "")
		#  Number of spaces are required to store trinomial triangle element
		capacity = size * (size * 2)
		result = [0] * capacity
		col = int((size * 2) / 2)
		counter = 1
		self.set_default(result, capacity)
		# Set the first row element
		result[col] = 1
		i = 1
		while (i < size) :
			# This is indicate number of valid operation in i-th row
			counter = counter + 2
			col = col - 1
			j = 0
			while (j < counter and j + col < size * 2) :
				# Store the result of top three closest element
				result[(i * (size * 2)) + col + j] = self.sum_result(result, i - 1, col + j, size)
				j += 1
			
			i += 1
		
		self.show(result, size)
	

def main() :
	obj = MyPattern()
	# Test Cases
	obj.trinomial_triangle(5)
	obj.trinomial_triangle(7)


if __name__ == "__main__": main()

Output

 ROW SIZE :  5
				 1
			 1 	 1 	 1
		 1 	 2 	 3 	 2 	 1
	 1 	 3 	 6 	 7 	 6 	 3 	 1
 1 	 4 	 10 	 16 	 19 	 16 	 10 	 4 	 1

 ROW SIZE :  7
						 1
					 1 	 1 	 1
				 1 	 2 	 3 	 2 	 1
			 1 	 3 	 6 	 7 	 6 	 3 	 1
		 1 	 4 	 10 	 16 	 19 	 16 	 10 	 4 	 1
	 1 	 5 	 15 	 30 	 45 	 51 	 45 	 30 	 15 	 5 	 1
 1 	 6 	 21 	 50 	 90 	 126 	 141 	 126 	 90 	 50 	 21 	 6 	 1
#  Ruby Program
#  Display Trinomial Triangle
class MyPattern

	def sum_result(result, row, col, size)
	
		ans = 0
		# Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size * 2))
		
			if (col - 1 >= 0)
			
				# When fill result column is greater than zero
				ans += result[(row) * (size * 2) + (col - 1)]
			end
			# get the result of just above element of resultant matrix
			ans += result[(row) * (size * 2) + (col)]
			if (col + 1 < (size * 2))
			
				ans += result[(row) * (size * 2) + (col + 1)]
			end
		end
		return ans
	end
	# Display result of trinomial triangle
	def show(result, size)
	
		i = 0
		j = 0
		while (i < size)
		
			j = 0
			while (j < size * 2)
			
				if (result[(i * (size * 2)) + j] != 0)
				
					print("", result[(i * (size * 2)) + j] ,"\t")
				elsif (j != 0)
				
					print("\t")
				end
				j += 1
			end
			print("\n")
			i += 1
		end
	end
	# Set default value of resultant array
	def set_default(result, size)
	
		i = 0
		while (i < size)
		
			result[i] = 0
			i += 1
		end
	end
	def trinomial_triangle(size)
	
		print("\n ROW SIZE  :", size ,"\n")
		#  Number of spaces are required to store trinomial triangle element
		capacity = size * (size * 2)
		result = Array.new(capacity) {0}
		col = (size * 2) / 2
		counter = 1
		self.set_default(result, capacity)
		# Set the first row element
		result[col] = 1
		i = 1
		while (i < size)
		
			# This is indicate number of valid operation in i-th row
			counter = counter + 2
			col = col - 1
			j = 0
			while (j < counter && j + col < size * 2)
			
				# Store the result of top three closest element
				result[(i * (size * 2)) + col + j] = self.sum_result(result, i - 1, col + j, size)
				j += 1
			end
			i += 1
		end
		self.show(result, size)
	end
end
def main()

	obj = MyPattern.new()
	# Test Cases
	obj.trinomial_triangle(5)
	obj.trinomial_triangle(7)
end
main()

Output

 ROW SIZE  :5
				1					
			1	1	1				
		1	2	3	2	1			
	1	3	6	7	6	3	1		
1	4	10	16	19	16	10	4	1	

 ROW SIZE  :7
						1							
					1	1	1						
				1	2	3	2	1					
			1	3	6	7	6	3	1				
		1	4	10	16	19	16	10	4	1			
	1	5	15	30	45	51	45	30	15	5	1		
1	6	21	50	90	126	141	126	90	50	21	6	1	
// Scala Program
// Display Trinomial Triangle
class MyPattern
{
	def sum_result(result: Array[Int], row: Int, col: Int, size: Int): Int = {
		var ans: Int = 0;
		//Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size * 2))
		{
			if (col - 1 >= 0)
			{
				//When fill result column is greater than zero
				ans += result((row) * (size * 2) + (col - 1));
			}
			//get the result of just above element of resultant matrix
			ans += result((row) * (size * 2) + (col));
			if (col + 1 < (size * 2))
			{
				ans += result((row) * (size * 2) + (col + 1));
			}
		}
		return ans;
	}
	//Display result of trinomial triangle
	def show(result: Array[Int], size: Int): Unit = {
		var i: Int = 0;
		var j: Int = 0;
		while (i < size)
		{
			j = 0;
			while (j < size * 2)
			{
				if (result((i * (size * 2)) + j) != 0)
				{
					print("" + result((i * (size * 2)) + j) + "\t");
				}
				else if (j != 0)
				{
					print("\t");
				}
				j += 1;
			}
			print("\n");
			i += 1;
		}
	}
	//Set default value of resultant array
	def set_default(result: Array[Int], size: Int): Unit = {
		var i: Int = 0;
		while (i < size)
		{
			result(i) = 0;
			i += 1;
		}
	}
	def trinomial_triangle(size: Int): Unit = {
		print("\n ROW SIZE : " + size + "\n");
		// Number of spaces are required to store trinomial triangle element
		var capacity: Int = size * (size * 2);
		var result: Array[Int] = Array.fill[Int](capacity)(0);
		var col: Int = ((size * 2) / 2).toInt;
		var counter: Int = 1;
		set_default(result, capacity);
		//Set the first row element
		result(col) = 1;
		var i: Int = 1;
		while (i < size)
		{
			//This is indicate number of valid operation in i-th row
			counter = counter + 2;
			col = col - 1;
			var j: Int = 0;
			while (j < counter && j + col < size * 2)
			{
				//Store the result of top three closest element
				result((i * (size * 2)) + col + j) = sum_result(result, i - 1, col + j, size);
				j += 1;
			}
			i += 1;
		}
		show(result, size);
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var obj: MyPattern = new MyPattern();
		//Test Cases
		obj.trinomial_triangle(5);
		obj.trinomial_triangle(7);
	}
}

Output

 ROW SIZE : 5
				1
			1	1	1
		1	2	3	2	1
	1	3	6	7	6	3	1
1	4	10	16	19	16	10	4	1

 ROW SIZE : 7
						1
					1	1	1
				1	2	3	2	1
			1	3	6	7	6	3	1
		1	4	10	16	19	16	10	4	1
	1	5	15	30	45	51	45	30	15	5	1
1	6	21	50	90	126	141	126	90	50	21	6	1
// Swift Program
// Display Trinomial Triangle
class MyPattern
{
	func sum_result(_ result: [Int], _ row: Int, _ col: Int, _ size: Int) -> Int
	{
		var ans: Int = 0;
		//Check boundary condition
		if (row >= 0 && row < size && col >= 0 && col < (size * 2))
		{
			if (col - 1 >= 0)
			{
				//When fill result column is greater than zero
				ans += result[(row) * (size * 2) + (col - 1)];
			}
			//get the result of just above element of resultant matrix
			ans += result[(row) * (size * 2) + (col)];
			if (col + 1 < (size * 2))
			{
				ans += result[(row) * (size * 2) + (col + 1)];
			}
		}
		return ans;
	}
	//Display result of trinomial triangle
	func show(_ result: [Int], _ size: Int)
	{
		var i: Int = 0;
		var j: Int = 0;
		while (i < size)
		{
			j = 0;
			while (j < size * 2)
			{
				if (result[(i * (size * 2)) + j] != 0)
				{
					print("", result[(i * (size * 2)) + j] ,"\t", terminator: "");
				}
				else if (j != 0)
				{
					print("\t", terminator: "");
				}
				j += 1;
			}
			print("\n", terminator: "");
			i += 1;
		}
	}
	//Set default value of resultant array
	func set_default(_ result: inout[Int], _ size: Int)
	{
		var i: Int = 0;
		while (i < size)
		{
			result[i] = 0;
			i += 1;
		}
	}
	func trinomial_triangle(_ size: Int)
	{
		print("\n ROW SIZE : ", size ,"\n", terminator: "");
		// Number of spaces are required to store trinomial triangle element
		let capacity: Int = size * (size * 2);
		var result: [Int] = Array(repeating: 0, count: capacity);
		var col: Int = (size * 2) / 2;
		var counter: Int = 1;
		self.set_default(&result, capacity);
		//Set the first row element
		result[col] = 1;
		var i: Int = 1;
		while (i < size)
		{
			//This is indicate number of valid operation in i-th row
			counter = counter + 2;
			col = col - 1;
			var j: Int = 0;
			while (j < counter && j + col < size * 2)
			{
				//Store the result of top three closest element
				result[(i * (size * 2)) + col + j] = self.sum_result(result, i - 1, col + j, size);
				j += 1;
			}
			i += 1;
		}
		self.show(result, size);
	}
}
func main()
{
	let obj: MyPattern = MyPattern();
	//Test Cases
	obj.trinomial_triangle(5);
	obj.trinomial_triangle(7);
}
main();

Output

 ROW SIZE :  5
				 1
			 1 	 1 	 1
		 1 	 2 	 3 	 2 	 1
	 1 	 3 	 6 	 7 	 6 	 3 	 1
 1 	 4 	 10 	 16 	 19 	 16 	 10 	 4 	 1

 ROW SIZE :  7
						 1
					 1 	 1 	 1
				 1 	 2 	 3 	 2 	 1
			 1 	 3 	 6 	 7 	 6 	 3 	 1
		 1 	 4 	 10 	 16 	 19 	 16 	 10 	 4 	 1
	 1 	 5 	 15 	 30 	 45 	 51 	 45 	 30 	 15 	 5 	 1
 1 	 6 	 21 	 50 	 90 	 126 	 141 	 126 	 90 	 50 	 21 	 6 	 1


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