This is why I don't like the move to make the DSi as a redesign rather than a better new generation a couple years later. A redesign is not supposed to harm cross-compatibility for the games designed in the generation in any way, that means all games designed for any of the 3 DS systems should work perfectly fine with the other DS systems.
I don't think the DSi fits in either category of redesign or new generation, it's somewhere in-between. Technically it may be a redesign, but practically it isn't.
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