ABC is a plane lamina of the shape of an equilateral triangle. D , E are mid points of AB,AC and G is the centroid of the lamina . Moment of inertia of the lamina about an axis passing through G and perpendicular to the plane ABC is `I_0` If part ADE is removed, the moment of inertia of a remaining part about the same axis is `(NI_0)/16` where N is an integer . Value of N is

Answer

11