Write the VHDL code for this Design a $5-$digit password door lock using Nexys board.

Implement a door lock logic with the following functionalities:

$-$ The password is a $5-$digit binary number.

$-$ The design can operate in $3$ different modes: SET, VERIFY and FREEZE.

$-$ In SET mode, user can set a password for the lock

$-$ In VERIFY mode, will put the current inputted password into a check. If the inputted password is identical to the saved one set earlier, a LED will blink with $5$ Hz frequency, otherwise a LED will blink with $1$ Hz frequency. The user has $3$ trials to check the password, the number of trials will be reset if the password is correct. When it reaches $0,$ the circuit will enter a FREEZE state. The number of trials will also be shown on $7$ segments.

$-$ In the FREEZE state, show "FREE$7"$ on $7$ segments.

$-$ If the password is not correct, show "LOC" on $7$ segments.

$-$ If the password is correct, show "ULOC" on $7$ segments.

$-$ Hard reset signal can be generated by one switch. When the circuit is in the FREEZE state, only this switch will work, and it will reset the whole circuit.