4. [20 marks] Design a sequential circuit that takes in an increase sequence $x_1, x_2, \dots x_n$ of unsigned 8-bit integers as inputs (one input each clock cycle), and outputs True if at least one of the values is repeated and False otherwise.
Examples:
• Sequence 3, 19, 30, 154, 208 outputs False
• Sequence 1 outputs False
• Sequence 18 outputs False
• Sequence 2, 65, 65, 65, 111 outputs True
• Sequence 2, 2 outputs True
• Sequence 10, 9, 8 is not valid and the output does not matter