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Display leibniz harmonic Triangle

Here given code implementation process.

//C Program 
//Display leibniz harmonic Triangle
#include <stdio.h>

//Display result of leibniz harmonic triangle
void show(int *result, int size)
{
	int i = 0, j = 0;
	for (i = 1; i <= size; ++i)
	{
		for (j = i; j < size; ++j)
		{
			printf("\t");
		}
		for (j = 1; j <= i; ++j)
		{
			if (i == 1 && j == 1)
			{
				printf("%d", 1);
			}
			else
			{
				//in 2d array result[i-1][j-1]*i
				printf("1/%d\t\t", *((result + (i - 1) *(size + 1) + (j - 1))) *i);
			}
		}
		printf("\n");
	}
}
void harmonic_triangle(int size)
{
	printf("\n ROW  SIZE : %d\n", size);
	//Create a 2d array, which is store the result
	int result[size + 1][size + 1];
	int i = 0, j = 0;
	for (i = 0; i <= size; ++i)
	{
		for (j = 0; j <= i; ++j)
		{
			if (j == i || j == 0)
			{
				//Simple base case when need to set 1
				result[i][j] = 1;
			}
			else
			{
				result[i][j] = result[i - 1][j - 1] + result[i - 1][j];
			}
		}
	}
	show((int *) result, size);
}
int main()
{
	//Test Cases
	harmonic_triangle(5);
	harmonic_triangle(7);
	return 0;
}

Output

 ROW  SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW  SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
/*
  Java Program
  Display leibniz harmonic Triangle
*/
class MyPattern
{
	//Display result of leibniz harmonic triangle
	public void show(int[][] result, int size)
	{
		int i = 0, j = 0;
		for (i = 1; i <= size; ++i)
		{
			for (j = i; j < size; ++j)
			{
				System.out.print("\t");
			}
			for (j = 1; j <= i; ++j)
			{
				if (i == 1 && j == 1)
				{
					System.out.print("1");
				}
				else
				{
					System.out.print("1/" + result[i - 1][j - 1] * i + "\t\t");
				}
			}
			System.out.print("\n");
		}
	}
	public void harmonic_triangle(int size)
	{
		System.out.print("\n ROW SIZE : " + size + "\n");
		//Create a 2d array, which is store the result
		int result[][] = new int[size + 1][size + 1];
		int i = 0, j = 0;
		for (i = 0; i <= size; ++i)
		{
			for (j = 0; j <= i; ++j)
			{
				if (j == i || j == 0)
				{
					//Simple base case when need to set 1
					result[i][j] = 1;
				}
				else
				{
					result[i][j] = result[i - 1][j - 1] + result[i - 1][j];
				}
			}
		}
		show(result, size);
	}
	public static void main(String[] args)
	{
		MyPattern obj = new MyPattern();
		//Test Cases
		obj.harmonic_triangle(5);
		obj.harmonic_triangle(7);
	}
}

Output

 ROW SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
/*
  C++ Program
  Display leibniz harmonic Triangle
*/
#include<iostream>

using namespace std;
class MyPattern
{
	public:
		//Display result of leibniz harmonic triangle
		void show(int *result, int size)
		{
			int i = 0, j = 0;
			for (i = 1; i <= size; ++i)
			{
				for (j = i; j < size; ++j)
				{
					cout << "\t";
				}
				for (j = 1; j <= i; ++j)
				{
					if (i == 1 && j == 1)
					{
						cout << "1";
					}
					else
					{
						cout << "1/" << *((result + (i - 1) *(size + 1) + (j - 1))) *i << "\t\t";
					}
				}
				cout << "\n";
			}
		}
	void harmonic_triangle(int size)
	{
		cout << "\n ROW SIZE : " << size << "\n";
		//Create a 2d array, which is store the result
		int result[size + 1][size + 1];
		int i = 0, j = 0;
		for (i = 0; i <= size; ++i)
		{
			for (j = 0; j <= i; ++j)
			{
				if (j == i || j == 0)
				{
					//Simple base case when need to set 1
					result[i][j] = 1;
				}
				else
				{
					result[i][j] = result[i - 1][j - 1] + result[i - 1][j];
				}
			}
		}
		this->show((int*)result, size);
	}
};
int main()
{
	MyPattern obj =  MyPattern();
	//Test Cases
	obj.harmonic_triangle(5);
	obj.harmonic_triangle(7);
	return 0;
}

Output

 ROW SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
/*
  C# Program
  Display leibniz harmonic Triangle
*/
using System;
class MyPattern
{
	//Display result of leibniz harmonic triangle
	public void show(int[,] result, int size)
	{
		int i = 0, j = 0;
		for (i = 1; i <= size; i++)
		{
			for (j = i; j < size; j++)
			{
				Console.Write("\t");
			}
			for (j = 1; j <= i; j++)
			{
				if (i == 1 && j == 1)
				{
					Console.Write("1");
				}
				else
				{
					Console.Write("1/" + result[i - 1,j - 1] * i + "\t\t");
				}
			}
			Console.Write("\n");
		}
	}
	public void harmonic_triangle(int size)
	{
		Console.Write("\n ROW SIZE : " + size + "\n");
		int[,] result = new int[size + 1,size + 1];
		int i = 0, j = 0;
		for (i = 0; i <= size; i++)
		{
			for (j = 0; j <= i; j++)
			{
				if (j == i || j == 0)
				{
					//Simple base case when need to set 1
					result[i,j] = 1;
				}
				else
				{
					result[i,j] = result[i - 1,j - 1] + result[i - 1,j];
				}
			}
		}
		show(result, size);
	}
	public static void Main(String[] args)
	{
		MyPattern obj = new MyPattern();
		//Test Cases
		obj.harmonic_triangle(5);
		obj.harmonic_triangle(7);
	}
}

Output

 ROW SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
<?php
/*
  Php Program
  Display leibniz harmonic Triangle
*/
class MyPattern
{
	//Display result of leibniz harmonic triangle
	public	function show( $result, $size)
	{
		$i = 0;
		$j = 0;
		for ($i = 1; $i <= $size; ++$i)
		{
			for ($j = $i; $j < $size; ++$j)
			{
				echo("\t");
			}
			for ($j = 1; $j <= $i; ++$j)
			{
				if ($i == 1 && $j == 1)
				{
					echo("1");
				}
				else
				{
					echo("1/". $result[$i - 1][$j - 1] * $i ."\t\t");
				}
			}
			echo("\n");
		}
	}
	public	function harmonic_triangle($size)
	{
		echo("\n ROW SIZE : ". $size ."\n");
		//Create a 2d array, which is store the result
		$result = array_fill(0, $size + 1,  array_fill(0, $size + 1, 0));
		$i = 0;
		$j = 0;
		for ($i = 0; $i <= $size; ++$i)
		{
			for ($j = 0; $j <= $i; ++$j)
			{
				if ($j == $i || $j == 0)
				{
					//Simple base case when need to set 1
					$result[$i][$j] = 1;
				}
				else
				{
					$result[$i][$j] = $result[$i - 1][$j - 1] + $result[$i - 1][$j];
				}
			}
		}
		$this->show($result, $size);
	}
}

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

Output

 ROW SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
/*
  Node Js Program
  Display leibniz harmonic Triangle
*/
class MyPattern
{
	//Display result of leibniz harmonic triangle
	show(result, size)
	{
		var i = 0;
		var j = 0;
		for (i = 1; i <= size; ++i)
		{
			for (j = i; j < size; ++j)
			{
				process.stdout.write("\t");
			}
			for (j = 1; j <= i; ++j)
			{
				if (i == 1 && j == 1)
				{
					process.stdout.write("1");
				}
				else
				{
					process.stdout.write("1/" + result[i - 1][j - 1] * i + "\t\t");
				}
			}
			process.stdout.write("\n");
		}
	}
	harmonic_triangle(size)
	{
		process.stdout.write("\n ROW SIZE : " + size + "\n");
		//Create a 2d array, which is store the result
		var result = Array(size + 1).fill(0).map(() => new Array(size + 1).fill(0));
		var i = 0;
		var j = 0;
		for (i = 0; i <= size; ++i)
		{
			for (j = 0; j <= i; ++j)
			{
				if (j == i || j == 0)
				{
					//Simple base case when need to set 1
					result[i][j] = 1;
				}
				else
				{
					result[i][j] = result[i - 1][j - 1] + result[i - 1][j];
				}
			}
		}
		this.show(result, size);
	}
}

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

Output

 ROW SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
#   Python 3 Program
#   Display leibniz harmonic Triangle

class MyPattern :
	# Display result of leibniz harmonic triangle
	def show(self, result, size) :
		i = 1
		j = 1
		while (i <= size) :
			j = i
			while (j < size) :
				print("\t", end = "")
				j += 1
			
			j = 1
			while (j <= i) :
				if (i == 1 and j == 1) :
					print("1", end = "")
				else :
					print("1/", result[i - 1][j - 1] * i ,"\t\t", end = "")
				
				j += 1
			
			print("\n", end = "")
			i += 1
		
	
	def harmonic_triangle(self, size) :
		print("\n ROW SIZE : ", size ,"\n", end = "")
		result = [[0 for _ in range(size+1)] for _ in range(size+1)]
		i = 0
		j = 0
		while (i <= size) :
			j = 0
			while (j <= i) :
				if (j == i or j == 0) :
					# Simple base case when need to set 1
					result[i][j] = 1
				else :
					result[i][j] = result[i - 1][j - 1] + result[i - 1][j]
				
				j += 1
			
			i += 1
		
		self.show(result, size)
	

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


if __name__ == "__main__": main()

Output

 ROW SIZE :  5
				1
			1/ 2 		1/ 2
		1/ 3 		1/ 6 		1/ 3
	1/ 4 		1/ 12 		1/ 12 		1/ 4
1/ 5 		1/ 20 		1/ 30 		1/ 20 		1/ 5

 ROW SIZE :  7
						1
					1/ 2 		1/ 2
				1/ 3 		1/ 6 		1/ 3
			1/ 4 		1/ 12 		1/ 12 		1/ 4
		1/ 5 		1/ 20 		1/ 30 		1/ 20 		1/ 5
	1/ 6 		1/ 30 		1/ 60 		1/ 60 		1/ 30 		1/ 6
1/ 7 		1/ 42 		1/ 105 		1/ 140 		1/ 105 		1/ 42 		1/ 7
#   Ruby Program
#   Display leibniz harmonic Triangle

class MyPattern

	# Display result of leibniz harmonic triangle
	def show(result, size)
	
		i = 1
		j = 1
		while (i <= size)
		
			j = i
			while (j < size)
			
				print("\t")
				j += 1
			end
			j = 1
			while (j <= i)
			
				if (i == 1 && j == 1)
				
					print("1")
				else
				
					print("1/", result[i - 1][j - 1] * i ,"\t\t")
				end
				j += 1
			end
			print("\n")
			i += 1
		end
	end
	def harmonic_triangle(size)
	
		print("\n ROW SIZE : ", size ,"\n")
		result = Array.new(size + 1) {Array.new(size + 1) }
		i = 0
		j = 0
		while (i <= size)
		
			j = 0
			while (j <= i)
			
				if (j == i || j == 0)
				
					# Simple base case when need to set 1
					result[i][j] = 1
				else
				
					result[i][j] = result[i - 1][j - 1] + result[i - 1][j]
				end
				j += 1
			end
			i += 1
		end
		self.show(result, size)
	end
end
def main()

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

Output

 ROW SIZE : 5
				1
			1/2		1/2		
		1/3		1/6		1/3		
	1/4		1/12		1/12		1/4		
1/5		1/20		1/30		1/20		1/5		

 ROW SIZE : 7
						1
					1/2		1/2		
				1/3		1/6		1/3		
			1/4		1/12		1/12		1/4		
		1/5		1/20		1/30		1/20		1/5		
	1/6		1/30		1/60		1/60		1/30		1/6		
1/7		1/42		1/105		1/140		1/105		1/42		1/7		

/*
  Scala Program
  Display leibniz harmonic Triangle
*/
class MyPattern
{
	//Display result of leibniz harmonic triangle
	def show(result: Array[Array[Int]], size: Int): Unit = {
		var i: Int = 1;
		var j: Int = 1;
		while (i <= size)
		{
			j = i;
			while (j < size)
			{
				print("\t");
				j += 1;
			}
			j = 1;
			while (j <= i)
			{
				if (i == 1 && j == 1)
				{
					print("1");
				}
				else
				{
					print("1/" + result(i - 1)(j - 1) * i + "\t\t");
				}
				j += 1;
			}
			print("\n");
			i += 1;
		}
	}
	def harmonic_triangle(size: Int): Unit = {
		print("\n ROW SIZE : " + size + "\n");
		var result: Array[Array[Int]] = Array.fill[Int](size + 1,size+1)(0);
		var i: Int = 0;
		var j: Int = 0;
		while (i <= size)
		{
			j = 0;
			while (j <= i)
			{
				if (j == i || j == 0)
				{
					//Simple base case when need to set 1
					result(i)(j) = 1;
				}
				else
				{
					result(i)(j) = result(i - 1)(j - 1) + result(i - 1)(j);
				}
				j += 1;
			}
			i += 1;
		}
		show(result, size);
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var obj: MyPattern = new MyPattern();
		//Test Cases
		obj.harmonic_triangle(5);
		obj.harmonic_triangle(7);
	}
}

Output

 ROW SIZE : 5
				1
			1/2		1/2
		1/3		1/6		1/3
	1/4		1/12		1/12		1/4
1/5		1/20		1/30		1/20		1/5

 ROW SIZE : 7
						1
					1/2		1/2
				1/3		1/6		1/3
			1/4		1/12		1/12		1/4
		1/5		1/20		1/30		1/20		1/5
	1/6		1/30		1/60		1/60		1/30		1/6
1/7		1/42		1/105		1/140		1/105		1/42		1/7
/*
  Swift Program
  Display leibniz harmonic Triangle
*/
class MyPattern
{
	//Display result of leibniz harmonic triangle
	func show(_ result: [
		[Int]
	], _ size: Int)
	{
		var i: Int = 1;
		var j: Int = 1;
		while (i <= size)
		{
			j = i;
			while (j < size)
			{
				print("\t", terminator: "");
				j += 1;
			}
			j = 1;
			while (j <= i)
			{
				if (i == 1 && j == 1)
				{
					print("1", terminator: "");
				}
				else
				{
					print("1/", result[i - 1][j - 1] * i , terminator: "\t\t");
				}
				j += 1;
			}
			print("\n", terminator: "");
			i += 1;
		}
	}
	func harmonic_triangle(_ size: Int)
	{
		print("\n ROW SIZE : ", size ,"\n", terminator: "");
		var result: [
			[Int]
		] = Array(repeating: Array(repeating: 0, count: size + 1), count: size + 1);
		var i: Int = 0;
		var j: Int = 0;
		while (i <= size)
		{
			j = 0;
			while (j <= i)
			{
				if (j == i || j == 0)
				{
					//Simple base case when need to set 1
					result[i][j] = 1;
				}
				else
				{
					result[i][j] = result[i - 1][j - 1] + result[i - 1][j];
				}
				j += 1;
			}
			i += 1;
		}
		self.show(result, size);
	}
}
func main()
{
	let obj: MyPattern = MyPattern();
	//Test Cases
	obj.harmonic_triangle(5);
	obj.harmonic_triangle(7);
}
main();

Output

 ROW SIZE :  5
				1
			1/ 2		1/ 2
		1/ 3		1/ 6		1/ 3
	1/ 4		1/ 12		1/ 12		1/ 4
1/ 5		1/ 20		1/ 30		1/ 20		1/ 5

 ROW SIZE :  7
						1
					1/ 2		1/ 2
				1/ 3		1/ 6		1/ 3
			1/ 4		1/ 12		1/ 12		1/ 4
		1/ 5		1/ 20		1/ 30		1/ 20		1/ 5
	1/ 6		1/ 30		1/ 60		1/ 60		1/ 30		1/ 6
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Last updated on by Kalkicode




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