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Python Program for Maximum height when coins are arranged in a triangle


In this article, we will learn about the solution to the problem statement given below.

Problem statement − We are given N coins where we need to arrange them in form of a triangle, i.e. in the first row will have 1 coin, the second row will have 2 coins and so on, we need to display the maximum height that can be achieved by the help N coins.

Now let’s observe the solution in the implementation below −

Example

# squareroot
def squareRoot(n):
   # initial approximation
   x = n
   y = 1
   e = 0.000001 # allowed error
   while (x - y > e):
      x = (x + y) / 2
      y = n/x
   return x
# max height
def find(N):
   # calculating portion of the square root
   n = 1 + 8*N
   maxH = (-1 + squareRoot(n)) / 2
   return int(maxH)
# main
N = 17
print("Maximum height is :",find(N))

Output

Maximum height is : 5

Python Program for Maximum height when coins are arranged in a triangle

All the variables are declared in the local scope and their references are seen in the figure above.

Conclusion

In this article, we have learned about how we can make a Python Program for Maximum height when coins are arranged in a triangle.