Problem with animals

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Paul lined up his animals in a farm. In front of a $pig$ is a $dog$ and a $sheep$ . Behind a $cat$ is a $pig$ , $dog$ , and $sheep$ . In front of a $sheep$ is a $cat$ , a $pig$ , and a $dog$ .

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• Question 1: If there are as few animals as possible, what animal is directly in front of a cat?
• Question 2: If Paul has as few animals as possible, how many of each animal does he have?

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$Pig$ = 1

$Cat$ = 2

$Sheep$ = 3

$Dog$ = 4

$None$ = 5

$Indeterminate$ = 0

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Your answer to question 1 should be the assigned value of the animal that is directly in front of a $cat$ . The answer is none if you think no animal is in front of a cat. If you think that there are multiple cats, and each one has a different animal in front of it, then just answer indeterminate.

Your answer to question 2 should be the sum of values of all the animals that Paul owns. That is, if your answer is $300$ pigs, $17$ dogs, $30$ cats, and $12$ sheep, then your answer should be $(300 \times 1)+ (30 \times 2) + (12 \times 3) + (17 \times 4) = 464$ .

If your answer to question 1 is $x$ , and your answer to question 2 is $y$ , input your answer as $x \times y$ .

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This problem is an adaptation.