---------------------------------------

        If the probability of a bad guy getting the next block is, 0.29



in order to guarantee prob. of success less than, 1/10, you have to mint, 8,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 2.718444548,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 18,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 3.224279674,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint, 29,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 3.455015737,

    steps in phase II



    If the probability of a bad guy getting the next block is, 0.3233333333



in order to guarantee prob. of success less than, 1/10, you have to mint, 11,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 3.665618113,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 26,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 4.370015661,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint, 41,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 4.659697219,

    steps in phase II



    If the probability of a bad guy getting the next block is, 0.3566666667



in order to guarantee prob. of success less than, 1/10, you have to mint, 17,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 5.352667709,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 39,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 6.313530007,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint, 64,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 6.760023364,

    steps in phase II



    If the probability of a bad guy getting the next block is, 0.3900000000



in order to guarantee prob. of success less than, 1/10, you have to mint, 28,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 8.600489301,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 68,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 10.22487847,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint, 110,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 10.90819891,

    steps in phase II



    If the probability of a bad guy getting the next block is, 0.4233333333



in order to guarantee prob. of success less than, 1/10, you have to mint, 58,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 16.82751027,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 140,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 19.92448196,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint, 228,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 21.25876195,

    steps in phase II



    If the probability of a bad guy getting the next block is, 0.4566666666



in order to guarantee prob. of success less than, 1/10, you have to mint, 180,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 49.65400707,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 441,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 58.86627672,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint, 719,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 62.77541842,

    steps in phase II



    If the probability of a bad guy getting the next block is, 0.4900000000



in order to guarantee prob. of success less than, 1/10, you have to mint, 3382,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 876.2790806,

    steps in phase II



in order to guarantee prob. of success less than, 1/100, you have to mint, 8287,

    good coins

and if the dishonest attacker succeeds, he should expect to take, 1038.047830,

    steps in phase II



in order to guarantee prob. of success less than, 1/1000, you have to mint,

    13473, good coins

and if the dishonest attacker succeeds, he should expect to take, 1106.400346,

    steps in phase II





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