In the analisis they explain a solution for the Small case, and point out it 
cannot work for the Large one. When I calculate the probabilities of getting WA 
using 30 checks for each position, and assuming 1000000 testcases (cant be more 
than this right?) I get less than 1 / 1000. But I still get WA. I calculate an 
upper bound on the probability of failure as 1 - (1 - 1 / (2 ** 30)) ** 
number_test_cases. Is there anything wrong?

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