I'm currently transcribing Blinx mine of precious memories for piano and I'm having alot of trouble with some of the rhythms in this song.　
Here's the song: 　http://www.youtube.com/watch?v=RIwpPz59_2s　　

I'm having alot of trouble even playing the song as slow speed With the fast syncopated jungle sounding run at 0:16 - 0:20

I know it has to be something like the left and right parts are taking turns but it's complicated and I really hope someone can help me with the rhythm on this.

Sounds like this to me:
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If I were writing for piano, I would write it like so:

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Just from a rough listen, I think that second set of ascending notes are upbeats in regards to the 16th note subdivision. So I would guess it's what Clarinetist has in the third bar, except with all the notes shifted to the right by a 16th note. I'm not sure about this at all.

The best way of knowing for sure is to get the piece in mp3 form and slow down the speed + subdivide manually.

I think Gotank is right, heh- not quite sure, but I'm fairly certain.