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Yeah, it´s a good strategy because the later you submit your guess, the higher the chance of winning is but on the other hand, there is the risk of forgetting to submit the guess in time plus someone might have already submitted the same guess earlier so this is also something to consider ;)

Now it's up to each of us which method we adopt, but in order to keep the suspense as high as possible, it's better to participate from the beginning of the competition.