You're part of a team developing an algorithm to tag uploaded pet photos as either "cat" or "dog" automatically. For simplicity, assume all pet photos are cat or dog. Currently, your algorithm estimates the probability that the photo is a dog, ; your job is to translate this probability to either a "cat" or "dog" label. From consumer research, you know that dog owners really hate when their photos are incorrectly labeled "cat," but cat owners only care a little when their cat photos are incorrectly labeled "dog," so you take the loss function to have , , . When , you should label the photo ___; when , you should label it ___