Two blocks A and B of masses 3m and m respectively are connected by a massless and inextensible string. The whole system is suspended by a massless spring as shown in figure. The magnitudes of acceleration of A and B immediately after the string is cut, are respectively

A

$$g, g$$

B

$$\frac{g}{3}, \frac{g}{3}$$

C

$$g, \frac{g}{3}$$

D

$$\frac{g}{3}, g$$