We investigate the behavior of largely undocumented encrypted text hacking and breaking program. We only know from scarce manuals that the valid input length of the mentioned program can vary between 5 and 100 bits and the program likely reviews various possible bit combinations. As a result of numerous experiments, we have noticed that the longer the input is, the longer is the working time of the program. Additionally we’ve determined that for same length input on the same computer, the running time will be always the same. In other words – the working time depends only on the length of the input and not on the input content.As a result of some series, we have firmly fixed six different runtimes (with 0.01 sec precision):- for 10-bit input, the runtime is 7.86 seconds;- for 15-bit input, the runtime is 7.97 seconds;- for 17-bit input, the runtime is 8.29 seconds;- for 20-bit input, the runtime is 11.30 seconds;- for 25-bit input, the runtime is 1 minute and 58.05 seconds;- for 30-bit input, the runtime is 58 minutes and 53.94 seconds.TaskPlease find program runtimes for 40-bit and for 50-bit inputs. Please find a formula describing the actual working time for arbitrary-length inputs.
Find a formula describing the actual working time for arbitrary-length inputs.
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