You are in a room, with 6 people. 2 of them are liars. The room has a code pad. The people say:
People | What they say |
---|---|
Keith | The first and last digit are the same number and are not used anywhere else in the code. The numbers in question are prime numbers. |
Sabrina | The code does not include any eights or nines. |
Cassiopeia | The last four numbers follow the fourth row of Pascal's triangle. |
Andrea | There are no odd numbers in the latter half of the code. |
Zach | The three digits after the first digit follow the Fibonacci sequence after 1. |
Bernard | The five digits of the code before the ninth digit each decreases by 1. |
They also say an extra line of dialogue which say:
People | What they say |
---|---|
Keith | Don't trust Cassiopeia. |
Sabrina | You can trust Keith. |
Cassiopeia | Don't listen to Keith or Sabrina. |
Andrea | Don't trust Sabrina, and even Bernard. |
Zach | Don't trust Andrea. |
Bernard | Trust Zach, but not Andrea. |
Who is lying, and what is the code?