Please help me to solve the questions described in the picture if possible.

EXERCISE 1 [20 points- 5 points each part] Let III be the square {(1331) E R2 : either |:r| = land 1 g y g 1, er lyl = 1 and 1 2 1 g :1: g I} and let I be the lled square {($130 6 R2 : |:I:| g 1, |y| E" 1}. (i) Calculate the Hausdorff distance between [:1 and I. Let .7: be the usual IFS, discussed in class cu 3 August, used to describe the attractor A illustrated in Figure 1. Label the maps as indicated. (ii) Show that .77 is contractive, and nd a contraction factor for it. (iii) Let S = {(5, .5)}. Calulate the Hausdorff distance between: (i) S and A; (ii) Uiinfd'fS) and A; (ii).7-'( UnPWSD and .HA). llllllllll p-n-"rgnlp-l-q-'g-g-Ilenllell llllll I 1 FIGURE 1. Image representing a Sierpinski Carpet / Menger Sponge, tegether with same date (at the centers of the white squares) . The enter vertieee. are leeated at (0,0),(1,U),(1,1) and (0,1). Ignere the different eherlee ef gray. The numbers are labels nf the maps, and nf the ienlnterl pnint eleee hy