Calorie restrictive, high carb diets have a very high rate of failure. Willpower is not enough.
Yes, you can suffer through it for a month or two or three.
Eventually you tire of being always hungry. Are you going to starve yourself for the rest of your life?
So what to do?
Low carb, high fat, moderate protein. Eat this way and you will lose weight, mantain muscle, and most importantly, not be hungry. It is sustainable.