Unfortunately (or fortunately?) this can pretty much be claimed to be impossible. Even just generating one specific kilobyte of data using uniform randomness yi

Unfortunately (or fortunately?) this can pretty much be claimed to be impossible. Even just generating one specific kilobyte of data using uniform randomness yields a probability of 1/2^8192 (Python tells me that 2^8192 > 10^2000, which is far bigger than the estimated number of atoms in the universe, which is somewhere around 10^80).