Simple Harmonic Motion

As shown in the figure a block is resting on a frictionless floor and is attached to the free end of a spring. The right edge of the block in equilibrium is at a distance $d$ from the wall. When the spring is compressed by a distance $d / 2$ and released, the time-period of the motion is $T$. Similarly, when compressed by a distance $2 d$ and released, the time-period is $T_0$. Considering elastic collision between the block and the wall, what is the value of the quantity $T_0 / T$ ?