Which of the following statements about long short$-$term memory $($LSTM$)$ are true?

$$ A$.$ The update phase of LSTM is to update the memory information.

B$.$ The output phase of LSTM is to determine which will be considered as the output of current state.

C$.$ The forget phase of LSTM is to selectively forget the input transferred from the previous node.

D$.$ The selective memory phase of LSTM is to selectively memorize the input