You are a volunteer at a dog rescue. Your job is to feed the dogs dinner, however the dogs you feed consist of dogs with food aggression and passive dogs. When you put all the doggie bowls in a line, you need to make sure that no two aggressive dogs are beside each other, or else they will fight over the food and cause a mess. Implement the routine: dogArrangements which takes in the number of aggressive and passive dogs nAggressive, and nPassive and returns the number of ways you can arrange their dog bowls in a line such that no dogs fight. Assume the dogs are distinguishable.

Use the following template:

# takes in nAggressive, nPassive $>=0$

# returns the number of possible arrangements of dogs

# Examples:

# $|$ Input $|$ Output $|$

# $|---------|----------|$

# $|0,0|1|$

# $|---------|----------|$

# $|1,1|2|$

# $|---------|----------|$

# $|0,2|0|$

# $|---------|----------|$

# $|2,2|12|$

# $|---------|----------|$

def dogArrangements$($ nPassive, nAggressive $)$:

return $0$

# Testing code provided in main$()$:

def main$()$:

testArgs $=[[0,0,1],[1,1,2],[0,2,0],[2,2,12]]$

for arg in testArgs:

passive, aggressive, answer $=$ arg

result $=$ dogArrangements$($passive$,$aggressive$)$

if result $!=$ answer:

print$($f$"$Failed dogArrangements test with args nPassive$=\{$passive$\}$ nAggressive$=\{$aggressive$\}.$

Expected: $\{$answer$\},$ Got: $\{$result$\}")$

else:

print$($f$"$Passed dogArrangements test with args nPassive$=\{$passive$\}$ nAggressive$=\{$aggressive$\}.")$

return $0$

if $\_\_$name$\_\_==\text{'}\_\_$main$\_\_\text{'}$:

main$()$

Your solutions should be implemented in python$3,$ so please ensure that you use this python version when testing your assignment before submission. You must submit your implementation of this routine inside a file named solution$6.$py$.$ Any change in name of the provided routines, or name of your submitted file will result in failure of the autograded tests. Furthermore, all code submitted should be inside routines. Do not leave any

code outside the routines.