Data Structures for Coding Interviews in Python/

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Solution: Nested Loop with Multiplication (Intermediate)

Solution: Nested Loop with Multiplication (Intermediate)

This review provides a detailed analysis of the different ways to solve the nested loop with multiplication in an advanced problem.

We'll cover the following...

Solution #

Python 3.5
n = 10  # can be anything, this is just an example
sum = 0
pie = 3.14
for var in range(1, n, 3):
    j = 1
    print(pie)
    while j < n:
        sum += 1
        j *= 3
print(sum)  # O(1)

  • Outer Loop: 1+4+7+10+⋯+n=n31+4+7+10+\cdots+n = \frac{n}{3}

  • Inner Loop: 1+3+9+27+⋯+n=log3n1+3+9+27+\cdots+n = log_3 n ...

Statement Number of Executions
n = 10 1
sum = 0 1
pie = 3.14 1
for var in range(1,n,3): n3\frac{n}{3}
j=1 n3\frac{n}{3}