solution.py

'''
PiWorks interview question solution (-v python3)
Nevzat Seferoglu
nevzatseferoglu@gmail.com
Gebze Technical University
'''

import sys

# returned path pocket
class ReturnValue:
    def __init__(self, total, state, depth):
        self.total = total
        self.state = state
        self.depth = depth

# return whether given input is a prime number
def isPrime(num):
    if num < 2:
        return False

    for i in range(2, (num//2+1)):
        if num % i == 0:
            return False
    return True

# traverse the possible path recursively
def traversePyramid(inList, index, depth):

    curValue = ReturnValue(0, False, 0)
    size = len(inList)

    if index >= size:
        return curValue
    
    if isPrime(inList[index]):
        curValue.state = True
        curValue.depth = depth
        return curValue

    left = traversePyramid(inList, index + depth, depth + 1)
    left.total += inList[index]

    right = traversePyramid(inList, index + depth + 1, depth + 1)
    right.total += inList[index]

    if not left.state and right.state:
        return left
    elif not right.state and left.state:
        return right
    elif left.depth > right.depth:
        return left
    elif left.depth < right.depth:
        return right
    else:
        return left if left.total > right.total else right

# behave input as a pyramid
def find(inList):
    maxPath = traversePyramid(inList, 0, 1)
    return maxPath.total
    
        
def script(inputfile):
    with open(inputfile, 'r') as f:
        return find([int(x) for x in f.read().split()])
    
# takes inputfile file as a command line argument
if __name__ == '__main__':
    
    if len(sys.argv) != 2:
        print(f"Usage: python {sys.argv[0]} inputfile\n\
inputfile: contains orthogonal triangle")
        sys.exit(-1)
    print(f"{script(sys.argv[1])}")