RE: SteemRollers | Provably Fair SteemDice v.02 (Now we accept STEEM!)

On the very first roll in a day you can decide if you want that player to win or to lose, then choose a secret that produces the desired outcome:

1. Choose secret
2. Compute roll
3. If roll doesn't match desired outcome, go back to step 1
4. Publish resulting transaction

This can be extended to the first N rounds in a day. In the following, i denotes the current round number, r_j the roll of round j, t_j the txid of round j:

1. if i < N, choose desired roll outcome r_i and publish result
2. else if current round == N, choose desired roll outcome r_N
   2.a select secret
   2.b compute hashes of (t_j + secret) and compare to r_j, if mismatch go back to 2a
   2.c publish result
   2.d save secret as S
3. else /* i > N */ compute r_i from t_i + S and publish result

I was wrong with my original estimate of 2^n attempts because I overlooked that you publish r_i. In truth you need about 2^(16*N - 15) attempts.