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http://i.imgur.com/VXz4ewN.png
It is not obvious at all, but that square has to be an X. Why? Because if you did fit that 3|1 in there, it would still have to be a X. And if you fit it the other way without the 3, it will still be an X.
http://i.imgur.com/DDlsChT.png
Pretty sure my solver is more accurate than the one you are using. It checks every possible move. It is possible I made a mistake with the algorithm, but I really don't think so.
Edit:
Yeah still getting stuck, even though I enjoy a hard puzzle.
https://cdn.discordapp.com/attachments/212616853531394048/240858411783290881/Capture.PNG
http://i.imgur.com/gC0tQap.png
Same situation as the Squirtle puzzle.
https://cdn.discordapp.com/attachments/212616853531394048/242471430179127296/Capture.PNG
Sadly so, a few of these xx-x numbered seeming Pokemon things I am hitting a wall. /sigh