Thinly julienne the carrot.
Mix the carrot with salt, vinegar, and olive oil to make carrot rape.
Beat the eggs, add a pinch of salt, and scramble them.
Grill the sliced ham in a pan and set aside.
On one slice of bread, layer the carrot rape, scrambled egg, and ham in order, then cover with another slice of bread.
Melt butter in a pan and toast both sides of the sandwich until golden brown.