A Prints Puzzle

One of the things I love about a beach is that, each day, twice a day, the sea washes the sands clean, removing much of the mess and erasing the tracks left during the previous hours. Often, these tracks are easily recognisable, such as....

....the two-clawed prints of those few, privileged local dogs whose owners bring them onto the sands for a good run-about. However, yesterday, on the short section of beach shown in the foreground of the first picture, we came across....

....these tiny tracks, each being less than an inch across. They are obviously not a dog's and the way they leap around or, in other places....

....seem to do some sort of dance, suggests a small and very agile creature.

In this close-up four claws and the faint outline of a pad are visible. There are plenty of helpful websites illustrating animal tracks, and we even have a very good and very comprehensive book, but I'm still not at all sure what the animal is. My guess, for what it's worth, is that it's a weasel.

As if the tiny tracks weren't enough, along the same section of beach, and overlapping the 'weasel', were these much larger tracks. Again, I'm left puzzled, my best guess....

....is that they are a large cat's, though the slightly elongated pad suggests otherwise, or maybe a small badger's.