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## Write a Program to print Pascal's triangle?

its about Write a Program to print Pascal's triangle

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Method ( O(n^2) time and O(1) extra space )
This method is based on method 1. We know that ith entry in a line number line is Binomial Coefficient C(line, i) and all lines start with value 1. The idea is to calculate C(line, i) using C(line, i-1). It can be calculated in O(1) time using the following.

# Python3 program for Pascal's Triangle

# A O(n^2) time and O(1) extra

# space method for Pascal's Triangle

# Pascal function

def printPascal(n):

for line in range(1, n + 1):

C = 1; # used to represent C(line, i)

for i in range(1, line + 1):

# The first value in a

# line is always 1

print(C, end = " ");

C = int(C * (line - i) / i);

print("");

# Driver code

n = 5;

printPascal(n);

```C(line, i)   = line! / ( (line-i)! * i! )
C(line, i-1) = line! / ( (line - i + 1)! * (i-1)! )
We can derive following expression from above two expressions.
C(line, i) = C(line, i-1) * (line - i + 1) / i

So C(line, i) can be calculated from C(line, i-1) in O(1) time```

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