X number of worms and one frog are in a well. Everyday the frog counts the number of worms and eats half of them if the count is even. If the count is odd, the worms reproduce to become thrice the count, plus one. This keeps on repeating, until the count of worms in the well is one. What is the least count of worms that should be present in the well at the start, so the worms live exactly 2 years?
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