Correct solutions were also received from Kristina Rogers, Veronica Stewart, Kristian Chelstrom.  Further correct solutions were submitted by Jacquie Staszak, Lou Cairoli, Ron Welch, Nancy Schwarzkopf, Sudipta Das.

Note that on the second jump, the chip in position 5 is removed.  There will never again be a chip in position 5 and all jumping (and eating) will take place with the chips on the edges.  A quick examination of cases shows there will always be at least two chips left on the board.

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