Hi guys, im trying to find the manhwa about princess and her dad (king)

The story is about the king being very mean (golden hair, blue eyes) and the princess try to be cute so that she won't be killed by the king. The princess also have 2 friends: the mysterious black-hair magician and the white-hair boy from some noble family.

Then, {{{ Spoiler }}}
The king is injured and he didn't wake up (not sure later on he can wake up or not) so the princess need to take care of the nation

*I'm not sure I mixed the plot with some other stories or not but I clearly remember that during the beginning of the story is about te princess need to be good since she is afraid that the king(her dad) will kill her