Fizzbuzz with no if-statements and loops

fizzbuzz.py

def fizzbuzz(num):
    # i, 3, 5, 15, 7, 21, 35, 105, 11, 33, 77, 165, 231, 385, 1155
    outcomes = [str(num), "bun", "cheese", "buncheese", "cake", "buncake", "cheesecake", "buncheesecake", "fluff", "bunfluff", "cheesefluff", "buncheesefluff", "cakefluff", "buncakefluff", "cheesecakefluff", "buncheesecakefluff"]
    # 0b01 = 1 in binary; &1 = %2, to zero out all bits except for the right most to see if it's a non empty number
    divByBun = 1 - ( ( (num%3) | (num%3>>1) ) & (0b01) )
    divByCheese = (1 - ( ( (num%5) | (num%5>>1) | num%5>>2 ) & (0b01) ) ) * 2
    divByCake = (1- ( ( (num%7) | (num%7>>1) | num%7>>2 ) & (0b01) ) ) * 4
    divByFluff = (1- ( ( (num%11) | (num%11>>1) | num%11>>2 | num%11>>3 ) & (0b01) ) ) * 8
    i = divByBun ^ divByCheese ^ divByCake ^ divByFluff
    return outcomes[i]
    
# This will return "buncheesecakefluff"
print fizzbuzz(1155)

# Proof of concept (exception to the rules if used)!
# for i in range(1,1157):
#     print fizzbuzz(i)