# Problem with animals

Number Theory Level pending

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 $$dog$$.

• 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?

$$Pig$$ = 1

$$Cat$$ = 2

$$Sheep$$ = 3

$$Dog$$ = 4

$$None$$ = 5

$$Indeterminate$$ = 0

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 $$x \times y$$.