you & mdash; A brave adventurer, and during your wanderings, you found a mysterious chest in the dungeon of an ancient castle. The chest is locked on a magic cryptographic lock that requires the entry of three secret numbers. The legend drawn on the wall says that the lock will open if & nbsp; at least one & nbsp; out of two conditions:
rn
Three numbers introduced into the lock form & nbsp; strictly increasing & nbsp; sequence (that is, each next number larger than the previous one). 14pt; "> all three & nbsp; the numbers are & nbsp; simple . li> rn recall that a simple number & mdash; This natural number is more than 1, which is divided without a trace by only 1 and itself (for example, 2, 3, 5, 7, 11).
rn your task & mdash; Write a program that will help you quickly check the combinations of numbers. The program should be determined by three intended integers whether the castle will open.
Input format
Three integers (Integer), each is introduced from the new line. These are secret numbers for the castle.
Output format
Line (String) with the result: "The lock is open" or "Castle locked".
Hint
There will be no clue here, decide for yourself!