In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility

Question:

In a pure exchange economy with two goods, G and H, the two traders have Cobb-Douglas utility functions. Suppose that Tony’s utility function is U_t = G_tH_t and Margaret’s utility function is U_m = G_m(H_m)². Between them, they own 100 units of G and 50 units of H. Solve for their contract curve?