Whether you adopted a puppy or an adult dog, make sure that you train them, so there are no issues in the future. The most IMPORTANT thing you need to teach your pup is to let you know when they need to go outside to relieve themselves! I've had several dogs in my life and it doesn't matter if they are already adults, you still can train them! This is especially important if you live in a building!
First thing you need to do, is to buy a door bell. One of those that you can tie to a door knob, like some small stores use... Tie the bell to a sturdy string and hang it low enough for them to reach it with their paw! Then, all you have to do, is walk the puppy to the door and lift one of their front paws to ring the bell for going outside. Do this every time your puppy needs to go outside. After a few days, your pup will automatically do it and surprise you! In fact, sometimes they will hit it so hard to train you and boss you around... It's good to teach them a way of letting you know, when they need to go!