Domino Stacking

You are given a set of 10 dominoes (0-1, 0-2, 0-3, 0-4, 1-2, 1-3, 1-4, 2-3, 2-4, and 3-4). Place these dominoes into the diagram below so that each digit is different from the horizontally adjacent digits (if any) and each digit is larger than the one below it (if any).