Which of the following are the penalty terms for L$1$ and L$2$ regularization respectively?

I. Both L$1$ and L$2$ regularization has the same penalty term ie$.$ the absolute sum of coefficients

II$.$ The Square of the magnitude of the coefficients and the sum of the coefficients

III. The absolute sum of the coefficients and square of the magnitude of the coefficients

IV$.$ The absolute sum of the coefficients and square root of the magnitude of the coefficients