Q:

C++ Program To Print A Pascal\'s Triangle

ghaidaib
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2022-05-16
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Logic :-
 In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. In the Western world, it is named after French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia (Iran), China, Germany, and Italy. Wikipedia
 
For printing Pascal Triangle we need to understood how to print pascal triangle the given gif shows how to print pascal triangle 
Pascal Triangle helps in Probability to find outcome 
Sum of the row in Pascal triangle is Power of 2
Pascal triangle Also help to Print Fibonacci Series 
If you really want to print Pascal Number just do one thing 
11^0=1                              (1)
11^1=1 1                          (11)
11^2=1 2 1                      (121)
11^3=1 3 3 1                  (1331)
11^4=1 4 6 4 1              (14641)
11^5=1 5 1 0 1 0 5 1    (15101051)

 

All Are Pascal Number 
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ghaidaib
2022-05-16
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#include<iostream>
using namespace std;
long int f(int);
int main()                                    
{                                                    
  long int j,n,x;
  
 while(1)
  {
 cout<<"\n\nEnter The Number of line : ";      
  cin>>n;                                        
 
  for(int i=0;i<n;i++)                        
  {                                                
  cout<<"\n";
 x=0;
    for(j=1;j<=2*n;j++)
     if(j>=n-i&&j<=n)
    {
     if((j-n+i+1)%2==0)
       cout<<"  ";
   else
      {
    cout<<f(i)/(f(i-x)*f(x));
    x++;
     if(j==n) 
      x--;
   }
     }
     else if(j<=n+i&&j>n)
     {
     if((n+i-j+1)%2==0)
       cout<<"  ";
      else
      {
      --x;
      cout<<f(i)/(f(i-x)*f(x));
   }
     }
     else
      cout<<"  ";
  }
  }
  return 0;
}

long int f(int x)
{
  long int i,a=1;

  for(i=1;i<=x;i++)
   a=a*i;
  return a;
}

 

Output:

Enter The Number of line : 5

        1          

      1  1        

    1  2  1      

  1  3  3  1    

1  4  6  4  1  

Enter The Number of line : 

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