I used same approach and it worked for large dataset.
At first glance I can see following differences:
long lastPow = Math.floor(lastPowDouble)
long dx = ((N-K) /lastPow) - 1
Ls = dx/2
Rs = dx - Ls

If this changes wont help I can post my solution.
In general I avoided using doubles and all my division where integral. For 
calculation of `lastPow` I used bitwise shift and comparison to 1.

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