java: add solution for year 2016, day 19 #110
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This was both a fun and frustrating problem. I found both my first solution and my improved solution for part 1 quite quickly, but it took a very long time to find the improved solution for part 2. I was stuck in trying to find a solution for part 2 that was similar to the improved solution for part 1, but I did not manage to do it. It wasn't until I just tried a bunch of inputs and observed their outputs that I found a pattern that was eventually used in my improved solution.