Bob accidentally leaks out a hint about the secret key (of length k bits) he is using for the secure communication with Alice. The hint is, as follows: The key has a single bit value 1 somewhere among the key bits and the rest of the bit values are zeros. Or, alternatively, the key has a single bit value 0 somewhere among the key bits and the rest of bit values are 1s. Show if the system (which includes the cipher) is still secure or not according to our exponentially-large-effort (versus k) based security definition.