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// p becomes (-2,8) ¯ü¸;ϳ·a¹}»°ºœ±

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// p becomes (-3,10)

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// p becomes (2,11)

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// p becomes (4,3)

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// p becomes (-1,4)

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// p becomes (-1,4)

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// p becomes (0,2)

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// p becomes (1,3)

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// // // //

identity matrix first translate (10,-20) then rotate 25 degrees finally scale it

<‰%2% -/.%"-@EIJ%"%0O0@0IJ#%YN-H$AGÜ @E-  IJ@E&OY %@0. AB-,õ double a = pi/180 * 25; double sina = sin(a); double cosa = cos(a); QWMatrix m1(0, 0, 0, 0, 10, -20); QWMatrix m2( cosa, sina, -sina, cosa, 0, 0 ); QWMatrix m3(1.2, 0, 0, 0.7, 0, 0); QWMatrix m; m = m3 * m2 * m1;

// convert 25 to radians

// translation matrix // rotation matrix // scaling matrix // combine all transformations

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r ڃvdwx’,h} hktseiEh}{oˆ * . )  rڃvdwx’,h}‘•se{|vdwxnpˆ * . * i0h}tHsei0hk{|‘•se{bÔªÕ r ڃvdwx’,h}‘•se{|vdwxnpf2“zhkˆ * . ,  i0h}‚ƒwxuE…†np h}z0np}g ÔÖÕ rX0Ÿm ãxv"wkzˆ + , * i0h}‚ƒwxuE…†np‘•se{.v"wx•n ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * ) ×  i0h}‚ƒwxuE…†ªn äXznpmov"Ÿm å•wknpm†se}l ÔÖÕ rX0Ÿm ãxv"wkzˆ + , * i0h}‚ƒwxuE…†ªn ä?qh}{|…ow2“‘•se{|v"wk•n ÔªÕ r Ø ,‘•se{|vdwxnpˆ * ) ×  i0h}jl0ƒh ÚÖäXXwklEi0…ohkb{ ÔªÕ r ڃvdwx’,h ÚÖäåˆ * . .  i0h}z0np}g ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * ) ×  r ڃvdwx’,h}ˆ * , 0  rXkwxmolEnp h„q]motHh}€ch}np{|motHy„ˆ * 0 0 rX0Ÿm ãxv"wkzˆ + , * i0h}y„tH{|moznpmoseVl ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . /  i0h}y„np{|sHƒ“ ß4…o…†se“t ÙBsel0nph ãx•n ÔÖÕ r Ùse…ose{†ˆ 0 Û  i0h}npwxtH}g ÔÖÕ r Ø K Ùse…†se{.v"wxzˆ × ×  r ڃtse l Ý0h}npˆ * + /  r ڃvdwx’,h}ˆ * , 0  rX0motHnpu{.hkˆ + + + rX0Ÿm ãxv"wkzˆ + , * i0h„q]motHh ÔÖÕ r Ø K ÙselEnph ãxnpˆ * ) ,  rXkwxmolEnph}{oˆ * Û 0 i0h„q]motHh ڃy„0Ÿm ãxv"wktz ÔªÕ r Ø K ÙselEnph ãxnpˆ * ) ,  i0h„q]fŠ“]zh ÔªÕ rXkwxmolEnp h„q]motHh}ˆ * 0 + i0mo{|h}tHªn Ü h}lEi0hk{.m†l0’ ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * )  i0moy„wx‹e…oh}Vi ÔÖÕ rXkwx…ohknpnph}ˆ + * + i0moy„tHsel0lEh}tHªn Ü h}y„Ÿm å•h ÔÖÕ rX€csHqmohkˆ * / i0moy„tHsel0lEh}tHªn Ý0npwxnpuEy ÔÖÕ rX€csHqmohkˆ * / i0moy„tHsel0lEh}tHªn ç ziEwknph ÔÖÕ rX€csHqmohkˆ * / . i0sePt è wxvdh ÔÖÕ rX0{|molEnph}{oˆ + . × i0sel0ƒh Ùu{|{.hkl0•n ÔÖÕ r Ø K ÙselEnph ãxnpˆ * ) ,  i0senpy„xh}{|€ch}nphk…{ é\ÔªÕ r ڃvdwx’,h}ˆ * , Û  i0senpy„xh}{|€ch}nphk…{ ê€ÔÖÕ r ڃvdwx’,h}ˆ * , Û  i0seu‹e…oh à u‚ƒ‚$hk<{ ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * )  r Ø ¸ ámoiE’,h}npˆ * * Û  i0{|wŠg‡ ÔÖÕ r Ùwxl•q]wky ڃnph}v"ˆ - )  r Ùwxl•q]wky„xse… “’,selEwkŸ… ڃnphkvdˆ . /  r Ùwxl•q]wky ÝEz{|monph}ˆ / .  r Ùwxl•q]wky„fxh ãxnpˆ / ×  i0{|wŠ\‡ ßX{.3t ÔÖÕ

rXxwkmolEnph}{oˆ * Û 0 i0{|w2‡€ßX{|h}wDÔÖÕ r Ùwxl•q]wky„ˆ + Û  i0{|w2n‡ à wx“t â,’,{|seuElEi}ÔÖÕ r Ùwxl•q]wky„ˆ + ×  i0{|w2n‡ ÙBg0se{|}i ÔÖÕ rXxwkmolEnph}{oˆ * Û 0 ˆ * Û Û i0{|w2n‡ ÙBsel0nph}lEnpy ÔÖÕ r Ùwxl•q]wk:y æåmohŠ‡/ˆ 0 +  i0{|w2n‡ ÙBsel•qƒh ãkxse… “]’xseVl ÔÖÕ rXxwkmolEnph}{oˆ * Û Û i0{|w2n‡ ÙBuE‹emoPt à h å•m†h}<{ ÔÖÕ rXxwkmolEnph}{oˆ * Û Û i0{|w2n‡ Þ…o…omoz0y„h ÔÖÕ rXxwkmolEnph}{oˆ * Û Û i0{|w2‡Y‘•se{|h}’,{|seul0}i ÔªÕ r Ùwxl•q]wky„ˆ + ×  i0{|w2n‡ ڃv"wk’,h ÔªÕ rXxwkmolEnph}{oˆ * Û Û ˆ * Û × i0{|w2‡Y,molEh ÔÖÕ rXxwkmolEnph}{oˆ * Û × i0{|w2‡Y,molEh Ý0hk’,vdhkl0npy ÔÖÕ rXxwkmolEnph}{oˆ * Û × i0{|w2‡YEmotnpu{|h ÔÖÕ rXxwkmolEnph}{oˆ * Û × ˆ * × ) i0{|w2‡YEmoh ÔÖÕ rXxwkmolEnph}{oˆ * × ) i0{|w2‡YEŸm ãkv"wxtz ÔÖÕ rXxwkmolEnph}{oˆ * × ) ˆ * × * i0{|w2‡Yxsemol0•n ÔªÕ rXxwkmolEnph}{oˆ * × * i0{|w2‡Yxsemol0npy ÔªÕ rXxwkmolEnph}{oˆ * × * i0{|w2‡Yxse… “’,seVl ÔÖÕ rXxwkmolEnph}{oˆ * × * i0{|w2‡Yxse… “…†mol0h ÔÖÕ rXxwkmolEnph}{oˆ * × * i0{|w2n‡ Ü hkt•n ÔÖÕ rXxwkmolEnph}{oˆ * × + i0{|w2n‡ Ü seul0 i Ü h}tH•n ÔÖÕ rXxwkmolEnph}{oˆ * × + i0{|w2n‡ ÝEg0wxzh ÔÖÕ r Ùwxl•q]wky Þ…o…om†zy„h}ˆ , .  r Ùwxl•q]wky„xse… “]’xselEˆ . ,  r Ùwxl•q]wky„xse… “]’xselEwk…… Ú$nphkvdˆ . /  r Ùwxl•q]wky Ü hktnpwxl0’,…ohkˆ . ×  i0{|w2‡Yfxh ãx•n ÔÖÕ rXxwkmolEnph}{oˆ * × + ˆ * × , i0{|w2‡Yf]mo…ohki0EŸm ãkv"wxtz ÔÖÕ rXxwkmolEnph}{oˆ * × , ˆ * × i0{|w2€‡ áamol0‘•setHuy Ü h}tH•n ÔÖÕ rXxwkmolEnph}{oˆ * × i ãDÔÖÕ r á̀cwknp{|Ÿm ãxˆ + × + } i•%“ ÔÖÕ r á̀cwknp{|Ÿm ãxˆ + × + } h}lEwk‹e…ohk}i ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - )  h}lE}i ÔÖÕ r ڃvdwx’,h ÙBsel0y„uvdhk{oˆ * - 0  rXxwkmolEnph}{oˆ * × ÞElEi0mowxl

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r Ú$v"wx’xhkˆ * , +  hkl0iEksemolEn•ÔÖÕ r Ùwxl•qwxy„,mol0hkˆ - /  hkl0nphk…{ ßX…o…osePt ÙselEnphãxn•ÔÖÕ r Ùse…ose{oˆ 0 Û  hkl0np{“ ÙBse…ose<{ ÔÖÕ r Ø K Ùse…ose{|v"wkz0ˆ × ×  hkl0np{“ Ü?’,"‹ ÔÖÕ r Ø K Ùse…ose{|v"wkz0ˆ × ×  hkse<{ ÔÖÕ r Ü h}’,mosel0ˆ + Û )  hk{|wky„ƒh Ü h}tH•n ÔÖÕ rXkwxmol0nphk{oˆ * × . hƒãkz0wklEi0h}iEfk"s ÔªÕ r Ý0Ÿm å•hkˆ + Û .  j…oƒh è wxvdh ÔÖÕ r Ú$v"wx’xƒh ÚÖäåˆ * . /  j…oJ… ÔªÕ r Ú$v"wx’xhkˆ * , Û  rX0Ÿm ãxvdwxzˆ + , * j…oŸ… Ü hkt•n ÔªÕ rXkwxmol0nphk{oˆ * × . jl0Vi ÔÖÕ r Ø K Ùse…ose{|v"wkz0ˆ * ) )  rX0Ÿm ãxvdwxz ÙBwktHg0hkˆ + - ) jl0 i è hkwk{|hky„•n ÔÖÕ r Ø K Ùse…ose{|v"wkz0ˆ * ) )  jl0m†y„g0h}Vi ÔÖÕ rX€csHqmohkˆ * / . ë uy„} g ÔÖÕ rXkwxmol0nphk{oˆ * × . ˆ * × / ‚ƒselE•n ÔÖÕ r Ùwxl•qwxy„fxh ãxnpˆ / ×  rXkwxmol0nphk{oˆ * × / ‚ƒselEªn Ú$lE‚ƒ"s ÔÖÕ rXkwxmol0nphk{oˆ * × / ‚ƒselEnp€ch}np{|motHy ÔÖÕ rXkwxmol0nphk{oˆ * × / ‚ƒse{|h}’,{|seul0}i ÔªÕ r Ùse…osei{ Ø {|seuzˆ Û Û  ‚ƒse{|v"wk•n ÔÖÕ r Ø K ÙselEnph ãxnpˆ * ) ,  r Ø ª áamoiE’xhknpˆ * * Û  r Ú$v"wx’xhk hktseiEh}{oˆ * . )  r Ú$v"wx’xƒh ÚÖäåˆ * . /  ‚ƒse{|v"wkªn è+wkv"h ÔªÕ r Ú$v"wx’xhk hktseiEh}{oˆ * . )  r Ú$v"wx’xhk‘•se{|vdwxnpfŠ“]zh}ˆ * . ,  ‘•se{|v"wkªn äXz0npmosel r Ø ,ˆ × /  ‚ƒ{|wxvdh ÔÖÕ r Ùwxl•qwxy Ý0z0{.m†nph}ˆ / .  ‘e{|wxvd©h ß4lEmov"wknpmoselEfŠ“]zh r Ùwxl•qwxy Ý0z0{.m†nph}ˆ /  ‚ƒ{|wxvdƒh Ùseul0•n ÔÖÕ r Ùwxl•qwxy Ý0z0{.m†nph}ˆ / .  ‚ƒ{|wxvdhk sel0h ÔÖÕ r Ú$v"wx’xƒh ÙselEy„uEv"h}{oˆ * - Û  ‚ƒ{|wxvdƒh Ú$v"wx’xh ÔÖÕ rX€csHqmohkˆ * / . ‚ƒ{|wxvdƒh è uvd‹ehk<{ ÔÖÕ rX€csHqmohkˆ * / .

‚${|wxvdhk0mŸãxv"wkztÔªÕ rX€csHqmohkˆ * / . ‚${|sev"kwx’,h ÔÖÕ rX0{|molEnph}{oˆ + . × ‚$u…o…oxwx’xh ÔÖÕ rX0{|molEnph}{oˆ + . × ’xwxv"vdDw ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . /  ’xhknpXy$q ÔÖÕ r Ùse…ose{†ˆ 0 ×  ’xhkn æ]wx…omo i Ü h}tH•n ÔÖÕ rX€csHqmohkˆ * / . ’x…† {|wŠg‡ ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * * ×  ’x…… Ú$lEmo•n ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * * ×  ’x{|wx‹e‘e{|wkv"h à u‚ƒ‚$hk<{ ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * * ×  ’x{|wxP‹ ám†i0’,h}•n ÔÖÕ rX0Ÿm ãxv"wkzˆ + , + ’x{|wxP‹ ám†l0i0sHg‡ ÔÖÕ rX0Ÿm ãxv"wkzˆ + , + ’x{|hkh}}l ÔªÕ r Ùse…ose{†ˆ 0 ×  g0wxl0i0…†h ÔÖÕ r Ùu{|y„se{oˆ × ,  rXkwxmolEnp h„q]motHh}ˆ * 0 + rXkwxmolEnph}{oˆ * × / r Ü h}’,moselEˆ + Û )  g0wx:y ß4…oz0g0Fw à uE‚ƒ‚ƒh}<{ ÔÖÕ r ڃvdwx’,h}ˆ * , Û  g0wxy Ù…omoz0zmol0’ ÔÖÕ rXkwxmolEnph}{oˆ * × / g0wxy äXzh} l Ø  ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * )  g0wxy äXzh} l Ø K ä?qhk{.…†wŠ“]y ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * )  g0wxy ä?qh}{|…ow2“ ÔªÕ r Ø ,‘•se{|vdwxnpˆ * * )  g0wx:y æ6m†h„\‡ é ‘•se{.2v ÔÖÕ rXkwxmolEnph}{oˆ * × / g0wx:y áJse{|…o
g0senªÝEzsen•ÔÖÕ r Ùu{|y„se{oˆ ×  g0y$%q ÔÖÕ r Ùse…†se{oˆ 0 ×  motHse l Ý0…m 啍h ÔÖÕ r ڃtse l Ý0hknpˆ * + /  mov"wk’,h ÔªÕ r Ùwxl•q]wky„EŸm ãxvdwxzWßX{.{|w2“Hˆ . )  r Ùwxl•q]wky ÝEz{|monph}ˆ / /  r ڃvdwx’,h} h}tHsei0h}{†ˆ * . )  r ڃvdwx’,h ÚÖäåˆ * . 0  mov"wk’,h ßXi•q]wklEthk}i ÔÖÕ r Ùwxl•q]wky ÝEz{|monph}ˆ / /  mov"wk’,h}‘•se{|v"wk•n ÔªÕ r ڃvdwx’,h}ˆ * , Û  r ڃvdwx’,h ÚÖäåˆ * . 0  rX0…m ãkv"wkz0ˆ + , , mol0wxtHnpm qh ÔÖÕ rXxwk…ohknpnph}ˆ + * + mol0m†npmowk…†Ÿm 啍h ÔÖÕ r Ùse…†se{oˆ Û )  r Ùu{|y„se{oˆ ×  rXxwkmolEnph}{oˆ * × 0 mol0m†npmowk…†Ÿm å•h}Vi ÔÖÕ r Ø K ÙBsel0nph ãxnpˆ * ) ,  mol0m†npmowk…†Ÿm å•h Ø D ÔªÕ r Ø ¸ ám†i0’,h}npˆ * * ×  mol0m†npmowk…†Ÿm å•h ä?q]h}{|…ow2“ Ø  ÔÖÕ r Ø ¸ ám†i0’,h}npˆ * * ×  mol0z0uEnp‘•se{|v"wknp,moy„•n ÔÖÕ r ڃvdwx’,h}ˆ * , Û  mol0z0uEnp‘•se{|v"wknpy ÔÖÕ r ڃvdwx’,h}ˆ * , ×  r ڃvdwx’,h} h}tHsei0h}{†ˆ * . )  r ڃvdwx’,h ÚÖäåˆ * . 0  mol0y„hk{|•n ÔÖÕ rX0…m ãkv"wk z ÙwxtgEh}ˆ + - ) ˆ + - * mol0nphk{|y„h}tH•n ÔÖÕ r Ü h}tHnpˆ + 0 )  r Ü h}’,moselEˆ + Û )  mol0nphk{|y„h}tHnpy ÔÖÕ r Ü h}tHnpˆ + 0 )  mol•q]h}{|y„h áDse{|…oiE€cwknp{|Ÿm ãDÔÖÕ r Ùwxl•q]wk:y æåmohŠ‡/ˆ 0 ,  mol•q]h}{|•n ÔÖÕ r á̀cwknp{|Ÿm ãxˆ + × + } mol•q]h}{|np0…m ãkhk…oy ÔÖÕ r ڃvdwx’,h}ˆ * , ×  mose hŠqmotHh ÔªÕ r ڃvdwx’,h ÚÖäåˆ * . 0  mo:y ßXtnpm q]h ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - )  rXxwkmolEnph}{oˆ * × 0 moy Ùsez•“ äX©‚ ÔÖÕ rXxwk…ohknpnph}ˆ + * + moy Þvdzn %“ ÔÖÕ r Ø K ÙBse…ose{|vdwxzˆ * ) )  r Ü h}tHnpˆ + 0 )  r Ü h}’,moselEˆ + Û )  r Ý0…m å•h}ˆ + Û .  moy Þl0wx‹e…oh}Vi ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - ) 

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m†yÞ ãxnp hŠqÔÖÕ rXkwxmol0np h„q]mothkˆ * 0 + m†y Ø h}lEh}{|wxnph}i}ÔªÕ r Ú$tHse l ÝEh}npˆ * + /  m†y Ø {|wŠ“]y„twx…oh ÔÖÕ r Ú$v"wx’xhkˆ * , ×  m†y Ú$iEh}lEnpmon “ ÔÖÕ r áa€cwxnp{|Ÿm ãxˆ + × , } m†y Ú$l:qhk{.npm†‹e…oh ÔÖÕ r áa€cwxnp{|Ÿm ãxˆ + × , } m†y è u…oJ… ÔÖÕ r Ú$tHse l ÝEh}npˆ * + /  r Ú$v"wx’xhkˆ * , ×  rX€csHqmohkˆ * / . rX0motHnpuE{|hkˆ + + + rX0Ÿm ãxvdwxzˆ + , , rXksemolEnpˆ + - , r Ü h}tHnpˆ + 0 )  r Ü h}’,mosel0ˆ + Û *  r Ý0Ÿm å•hkˆ + Û /  m†y„r à monpvdwxtz ÔÖÕ rX0Ÿm ãxvdwxzˆ + , , m†y Ý0h}…†h}tHnph}}i ÔªÕ r Ùwxl•qwxy ڃnph}v"ˆ - )  m†y Ý0g0wx{|mol0’ ÔÖÕ r Ø K ÙselEnph ãxnpˆ * )  r Ø ª áamoiE’xhknpˆ * * ×  m†:y æ]wx…omoVi ÔÖÕ r Ùwxl•qwxy„0…m ãkv"wkbz ß4{|{|wŠ“Óˆ . *  r Ùse…ose{oˆ Û )  r Ø K ÙselEnph ãxnpˆ * )  r Ø ª áamoiE’xhknpˆ * * ×  r Ü h}tHnpˆ + 0 )  r Ý0Ÿm å•hkˆ + Û /  m†:y æ6m†y„mo‹e…oh ÔªÕ r Ùwxl•qwxy ڃnph}v"ˆ - )  ì sem† l Ý0n “]…oh ÔªÕ rXkhkl0ˆ + * 0 ì uv"zfkwx‹e…oh ÔÖÕ r Ú$v"wx’xhkˆ * , ×  …†h}w2qh ßX…o…osePt ÙselEnph ãx•n ÔÖÕ r Ùse…ose{oˆ Û )  …†h}‚ƒ•n ÔÖÕ r Ü h}tHnpˆ + 0 *  …†h}‚ƒªn ÞEiE’,h ÔÖÕ r Ùwxl•qwxy Ý0z0{.m†nph}ˆ / /  …†mo’,g0•n ÔÖÕ r Ùse…ose{oˆ Û )  r Ùse…osei{ Ø {|seuzˆ Û Û  …†mol0hkfk"s ÔÖÕ rXkwxmol0nphk{oˆ * × 0 …†mo l âÔÖÕ r Ùse…osei{ Ø {|seuzˆ Û ×  …†mo l â“æåmoy„monphk}i ÔÖÕ r Ùse…osei{ Ø {|seuzˆ Û ×  …†sewkVi ÔÖÕ r Ú$v"wx’xhkˆ * , ×  rX0motHnpuE{|hkˆ + + + rX0Ÿm ãxvdwxzˆ + , , ˆ + , …†sewkiE‘e{.sev" wxnpDw ÔÖÕ r Ú$v"wx’xhkˆ * - )  v

rX0mŸãxv"wkzˆ + , …ose’,motwx…o zm é\ÔÖÕ rXkwxmolEnp h„q]motHh}€ch}np{|motHy„ˆ * 0 0 …ose’,motwx…o zm ê€ÔÖÕ rXkwxmolEnp h„q]motHh}€ch}np{|motHy„ˆ * 0 0 * * ÔÖÕ }á * + ÔÖÕ }á + * ÔÖÕ }á + + ÔÖÕ }á Fâ ß 3ÔÖÕ

r ̀cwknp{|mŸãxˆ + × , r ̀cwknp{|Ÿm ãxˆ + × , v r ̀cwknp{|Ÿm ãxˆ + × , v r ̀cwknp{|Ÿm ãxˆ + × , vdw ,h X{.t rXksem†l0n ßX{.{|w2“Hˆ + . ) vdwFâ,h Ùu{|{|h}l0•n ÔªÕ r Ø K ÙselEnph ãxnpˆ * )  r Ø ¸ ámoiE’,h}npˆ * * ×  vdFw â,h Þ…o…omozy„h ÔÖÕ rXksem†l0n ßX{.{|w2“Hˆ + . * vdFw â,h ä?qhk{|…owŠ“ Ùu{|{.hkl0•n ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * + )  vdwxl0gEwknpnpwxl0,h}lE’,np}g ÔÖÕ rXksem†l0npˆ + - , vdwxtz ÔÖÕ r á̀cwknp{|Ÿm ãxˆ + × , ˆ + × } vdwxz Ü h}tH•n ÔÖÕ r á̀cwknp{|Ÿm ãxˆ + × } vdwx{|’xm†l0y ÔÖÕ rX0{|molEnph}{oˆ + . × vdwxy âÔÖÕ r Ùu{|y„se{oˆ ×  rX0Ÿm ãxv"wkzˆ + , . vdFw ãƒÙBse…ose{|y ÔÖÕ r Ùse…ose{†ˆ Û )  vdFw ãkxwx’xh ÔÖÕ rX0{|molEnph}{oˆ + / ) vdhknp{.m†Kt ÔÖÕ rXkwxmolEnp h„q]motHh}ˆ * 0 + rX0motHnpu{.hkˆ + + , rX0Ÿm ãxv"wkzˆ + , . vdmoVi ÔÖÕ r Ùse…osei{ Ø {.seuzˆ Û ×  vdmoiE…omo’,g0•n ÔªÕ r Ùse…osei{ Ø {.seuzˆ Û ×  vdmolEkwx’,h ÔÖÕ rX0{|molEnph}{oˆ + / ) vdmo{|{|se<{ ÔÖÕ r ڃvdwx’,h}ˆ * - )  €csei0h r ڃtse l Ý0h}npˆ * + .  vdsHq]h ÔÖÕ r Ùwxl•q]wky ڃnph}v"ˆ - )  r Ùwxl•q]wky ÝEz{|monph}ˆ / /  vdsHq]h à senpnpsev"xhk‚ƒ•n ÔÖÕ r Ü h}tHnpˆ + 0 *  vdsHq]h à senpnpse v ÜBmo’,gE•n ÔÖÕ r Ü h}tHnpˆ + 0 *  vdsHq]h àx“ ÔªÕ r Ùwxl•q]wky ڃnph}v"ˆ - )  r Ü h}tHnpˆ + 0 *  vdsHq]h Ùhkl0nphkb{ ÔªÕ v

r Ü h}tHnpˆ + 0 *  vdsHq]h}fxs"ÔÖÕ rXxwkmolEnph}{oˆ * × 0 vdsHq]h}fxsez,h}‚ƒn•ÔÖÕ r Ü h}tHnpˆ + 0 *  vdsHq]h}fxsez Ü?mo’,g0•n ÔÖÕ r Ü h}tHnpˆ + 0 *  l0wxvdh ÔÖÕ r Ùse…†se{oˆ Û )  l0hŠ‡Yxwk’,h ÔÖÕ rX0{|molEnph}{oˆ + / ) l0se{|v"wkJ… ÔªÕ rXxwk…ohknpnph}ˆ + * + l0se{|v"wk…o…m 啍h ÔÖÕ r Ü h}tHnpˆ + 0 +  l0u>v à m†np0…owxl0hky ÔÖÕ r Ùse…†se{oˆ Û *  l0u>v àx“]nph}y ÔÖÕ r ڃvdwx’,h}ˆ * - )  l0u>v ÙBse…ose{|y ÔÖÕ r ڃvdwx’,h}ˆ * - )  rXxwkmolEnp hŠqmotHh}€chknp{.m†ty„ˆ * 0 0 l0u>v ÙBsezmohky ÔÖÕ rX0{|molEnph}{oˆ + / ) se‚ƒ‚$y„hk•n ÔÖÕ r ڃvdwx’,h}ˆ * - )  se‚ƒ‚$y„hkn é\ÔÖÕ r Ùwxl•q]wky„EŸm ãxvdwxzˆ - Û  se‚ƒ‚$y„hkn ê€ÔÖÕ r Ùwxl•q]wky„EŸm ãxvdwxzˆ - Û  se l ÙBwkl:qwxy ÔÖÕ r Ùwxl•q]wky„ˆ + ×  sezh}{|wxnpse{ ÔÖÕ r Ùwxl•qwxy„0…m ãkv"wkbz ß4{|{|wŠ“Óˆ . *  í ÔªÕ r à {.uy„g0ˆ * ×  r Ùse…ose{oˆ Û *  r Ùse…osei{ Ø {|seuzˆ Û ×  r Ú$v"wx’xhkˆ * - *  rXkwx…oh}npnphkˆ + * + rXkhkl0ˆ + * 0 r Ü h}’,mosel0ˆ + Û *  r áa€cwxnp{|Ÿm ãxˆ + × } sezh}{|wxnpsei{ îÔÖÕ r á̀cwknp{|Ÿm ãxˆ + × - ˆ + × . } sezh}{|wxnpsei{ î í ÔªÕ rXxsemol0npˆ + - r Ý0…m å•h}ˆ + Û /  r á̀cwknp{|Ÿm ãxˆ + × . } sezh}{|wxnpse<{ ï(ÔÖÕ r Ü h}’,moselEˆ + Û *  sezh}{|wxnpse<{ ï í ÔªÕ rXxsemol0npˆ + - r Ü h}’,moselEˆ + Û *  r Ý0…m å•h}ˆ + Û /  sezh}{|wxnpsei{ ðÔªÕ r Ü h}’,moselEˆ + Û *  sezh}{|wxnpsei{ ð í ÔÖÕ rXxsemol0npˆ + - r Ü h}’,moselEˆ + Û + 

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r Ý0Ÿm å•hkˆ + Û /  sez0h}{|wknpse{ í ÔÖÕ rXksemolEnpˆ + - - ˆ + - . r Ý0Ÿm å•hkˆ + Û /  sez0h}{|wknpse{ í ÔÖÕ r à monpvdwxzˆ * /  r à {.uy„g0ˆ * ×  r Ùse…ose{oˆ Û *  r Ùse…osei{ Ø {|seuzˆ Û ×  r Ùu{.y„se{†ˆ ×  r Ø K Ùse…ose{|v"wkz0ˆ * ) )  r Ú$tHse l ÝEh}npˆ * + /  r Ú$v"wx’xhkˆ * - *  rX€csHqmohkˆ * / . rXkwx…oh}npnphkˆ + * + rXkhkl0ˆ + * Û rX0motHnpuE{|hkˆ + + , rX0Ÿm ãxvdwxzˆ + , . rXksemolEn ß4{|{|w2“Hˆ + . * r Ü h}’,mosel0ˆ + Û +  sez0h}{|wknpse{ í>í ÔÖÕ r à {.uy„g0ˆ * ×  r Ùse…ose{oˆ Û *  r Ùse…osei{ Ø {|seuzˆ Û ×  r Ú$v"wx’xhkˆ * - *  rXkwx…oh}npnphkˆ + * + rXkhkl0ˆ + * Û r Ü h}’,mosel0ˆ + Û +  r áa€cwxnp{|Ÿm ãxˆ + × . } sez0h}{|wknpsei{ ñ4ÔÖÕ r Ü h}tHnpˆ + 0 +  r Ü h}’,mosel0ˆ + Û *  sez0h}{|wknpsei{ ñ í ÔÖÕ r Ü h}tHnpˆ + 0 +  r Ü h}’,mosel0ˆ + Û *  sez0h}{|wknpse { ò=ÔÖÕ r Ü h}’,mosel0ˆ + Û +  sez0h}{|wknpse { ò í ÔÖÕ r Ü h}’,mosel0ˆ + Û +  äXz0npmovd…m å•wknpmosel rX0Ÿm ãxvdwxzˆ + + 0 sez0npmovd…m å•wknpmoseVl ÔÖÕ rX0Ÿm ãxvdwxzˆ + , . äX{|mohkl0npwxnpmosel rX0{|mol0nphk{oˆ + . / se{|mohkl0npwxnpmose}l ÔªÕ rX0{|mol0nphk{oˆ + / ) seunpzunp‘emo…oƒh è wxvdh ÔÖÕ rX0{|mol0nphk{oˆ + / ) seunpzunp‘•se{|vdwxnp,moy„•n ÔÖÕ r Ú$v"wx’xhkˆ * - *  seunpzunp‘•se{|vdwxnpy ÔÖÕ r Ú$v"wx’xhkˆ * - *  r Ú$v"wx’xƒh ÚÖäåˆ * . 0  seunpzunpfkse‘em†…oh ÔÖÕ rX0{|mol0nphk{oˆ + / ) sHq]h}{|…ow2“ ÙBsel0nph ãx•n ÔÖÕ r Ø ª áamoiE’xhknpˆ * + )  sHq]h}{|…ow2“f,{|wklEy„zwx{.hkl0ªn ÙBse…ose{<ÔÖÕ r Ø K ÙselEnph ãxnpˆ * )  z0wkPt âKÚ$v"wx’xh ÔÖÕ rX  è]ØCڃvdwx’,h}xwkPt â,h}{oˆ * / Û

kwx’,häX{|i0hk{ rX0{|molEnph}{oˆ + . 0 zwk’,ƒh äX{.iEh}<{ ÔÖÕ rX0{|molEnph}{oˆ + / * kwx’,h Ý0…m å•h rX0{|molEnph}{oˆ + . 0 zwk’,ƒh Ý0Ÿm å•h ÔÖÕ rX0{|molEnph}{oˆ + / * zwkm†l0ªn Þ}qh}lE•n ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * + )  zwkm†l0ªn Ø  ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * + )  zwkm†l0npmolE•’ ßXtHnpm qh ÔÖÕ rXkwxmolEnp h„q]motHh}ˆ * 0 + zwkm†l0ªn ä?qhk{|…owŠ“ Ø  ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * + )  kwxzh}i{ ÝEseuE{|tHh rX0{|molEnph}{oˆ + . Û zwkz0h}i{ Ý0seu{|th ÔÖÕ rX0{|molEnph}{oˆ + / * zwk{|wxvdhknph}{|y ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . 0  zwkuy„h ÔªÕ rX€csHqmohkˆ * / . zwkuy„h}Vi ÔÖÕ rX€csHqmohkˆ * / / zh}Vl ÔÖÕ r Ùwxl•q]wky„xse… “’,selEwk…ŸÚƒnphkvdˆ . /  rXkwxmolEnph}{oˆ * × 0 zŸm ãxh}J… ÔÖÕ r Ùse…ose{†ˆ Û *  r ڃvdwx’,h}ˆ * - *  zŸm ãxh}Ÿ… ڃl0iEh ãDÔÖÕ r ڃvdwx’,h}ˆ * - +  zŸm ãxvdwxtz ÔÖÕ r à {|uEy„gEˆ * ×  r ڃtse l Ý0h}npˆ * + 0  z…owxl0h ÔªÕ r Ø ,‘•se{|vdwxnpˆ * * )  z…ow2“ ÔÖÕ rX0motHnpu{.hkˆ + + , zsemol0•n ÔªÕ rXksem†l0n ßX{.{|w2“Hˆ + . * zsemol0npy ÔªÕ r Ùwxl•q]wky„xse… “’,selEˆ . ,  zsey ÔÖÕ r Ùu{|y„se{oˆ ×  rXkwxmolEnph}{oˆ * × 0 0{|mol0nphk{|€csei0h rX0{|molEnph}{oˆ + . Û z{|mol0nphkS{ è+wxvdh ÔÖÕ rX0{|molEnph}{oˆ + / * z{|mol0nphkS{ ÝEh}…ohktnpm†se l äXznpmoseVl ÔÖÕ rX0{|molEnph}{oˆ + / * z{|mol0npE{.se’,{|wxv ÔÖÕ rX0{|molEnph}{oˆ + / * zuEy„gE wxnpw ÔªÕ rX€csHqmohkˆ * / / zuEy„ g Ý0zwxtHh ÔÖÕ rX€csHqmohkˆ * / / zuEnpxsemolEnpy ÔÖÕ rXksem†l0n ßX{.{|w2“Hˆ + . * ˆ + . +

’,… …ohkwk{iÙBse…ose{<ÔÖÕ r Ø ¸ ám†i0’,h}npˆ * + )  ó ’,Ÿ… Ùse…ose<{ ÔÖÕ r Ø ¸ ám†i0’,h}npˆ * + )  “ ÔÖÕ ó uEwx…omon % r ڃvdwx’,h ÚÖäåˆ * . 0  {|wky„nphkS{ äX}z ÔÖÕ rXxwkmolEnph}{oˆ * × Û {ià senpnpsev ÔÖÕ r Ü h}tHnpˆ + 0 +  {|h}wx}i ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . Û  {|h}wx i Ùse…†…omoy„moselE€cwky â,y ÔÖÕ r Ùwxl•q]wky„EŸm ãxvdwxWz ßX{.{|w2“Hˆ . *  {|h}wxi00…m ãkv"wkz0y ÔÖÕ r Ùwxl•q]wky„EŸm ãxvdwxWz ßX{.{|w2“Hˆ . *  {|h}tH•n ÔÖÕ r Ùwxl•q]wky„ˆ + ×  r Ùwxl•q]wky Ü hktnpwxl0’,…ohkˆ . ×  r ڃvdwx’,h}ˆ * - +  rX0…m ãkv"wkz0ˆ + , . r Ü h}tHnpˆ + 0 ,  {|h}tHnpy ÔÖÕ r Ü h}’,moselEˆ + Û +  {|h}}i ÔªÕ r Ùse…†se{oˆ Û *  {|h}i0m†{.hkt•n ÔªÕ rXxwkmolEnph}{oˆ * × Û Ü h}’,moselEfŠ“]zh r Ü h}’,moselEˆ + 0 Û  {|h}’,moy„nph}{| h}tHsei0h}{|‘Ówxtnpse{“ ÔªÕ r ڃvdwx’,h} h}tHsei0h}{†ˆ * . )  {|h}l0iEh}{|0…m ãkv"wk}z ÔÖÕ r Ø ¸ ám†i0’,h}npˆ * + *  {|h ó uh}y„nph}iE‘•se{|vdwx•n ÔÖÕ r Ø K ÙBsel0nph ãxnpˆ * )  {|h}y„h}•n ÔªÕ r Ø K ÙBsel0nph ãxnpˆ * )  r ڃtse l Ý0hknpˆ * + 0  r ڃvdwx’,h}ˆ * - +  r á̀cwknp{|Ÿm ãxˆ + × . } {|h}y„h}n é ‘•se{|2v ÔÖÕ rXxwkmolEnph}{oˆ * × Û {|h}y„Ÿm å•h ÔÖÕ r Ùwxl•q]wky„ˆ + ×  rX0…m ãkv"wkz0ˆ + , . ˆ + , / {|h}y„Ÿm å•hk}i ÔÖÕ r Ùwxl•q]wky„ˆ , )  {|h}y„Ÿm 啃h Þ:q]h}l0•n ÔªÕ r Ø ¸ ám†i0’,h}npˆ * + *  {|h}y„Ÿm 啃h Ø  ÔÖÕ r Ø ¸ ám†i0’,h}npˆ * + *  {|h}y„Ÿm 啃h ä?qh}{|…ow2“ Ø  ÔÖÕ r Ø ¸ ám†i0’,h}npˆ * + *  {|h}y„se…ounpmose}l ÔªÕ rX0{|molEnph}{oˆ + / * {|h}y„npwx{.•n ÔªÕ rX€csHqm†h}ˆ * / / {|h}y„npse{|h ÔÖÕ rXxwkmolEnph}{oˆ * × Û {|h}y„npse{|h áDse{|…oi0€cwxnp{|Ÿm ãDÔÖÕ rXxwkmolEnph}{oˆ * × Û ó ŸÙ

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{|hknpuElEhÔÖÕ r Ùwxl•qwxy„ˆ , )  {|’,"‹ ÔÖÕ r Ùse…ose{oˆ Û *  {|’,‹eDw ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * )  {|gEh}mo’,g0•n ÔªÕ r Ý0Ÿm å•hkˆ + Û 0  {|mo’,gE•n ÔÖÕ r Ü h}tHnpˆ + 0 ,  {|mo’,gEªn ÞEiE’xh ÔÖÕ r Ùwxl•qwxy Ý0z0{.m†nph}ˆ / /  {|,h}‚ƒ•n ÔÖÕ r Ü h}tHnpˆ + 0 +  {|senpwxnph ÔÖÕ rXkwxmol0nphk{oˆ * × Û r áa€cwxnp{|Ÿm ãxˆ + × . } {iÜ?mo’,g0•n ÔÖÕ r Ü h}tHnpˆ + 0 +  {|fxsetz ÔÖÕ r Ü h}tHnpˆ + 0 ,  {|npnpJm ÔªÕ r Ùwxl•qwxy Þ…o…omozy„hkˆ , .  r Ùwxl•qwxy ڃnph}v"ˆ - *  r Ùwxl•qwxy„,mol0hkˆ - /  r Ùwxl•qwxy„xse… “’,sel0ˆ . ,  r Ùwxl•qwxy„xse… “’,sel0wxŸ… ڃnph}v"ˆ . /  r Ùwxl•qwxy Ü h}tHnpwxl0’,…oh}ˆ . ×  r Ùwxl•qwxy Ý0z0…omol0hkˆ / +  r Ùwxl•qwxy Ý0z0{.m†nph}ˆ / 0  r Ùwxl•qwxy„fxh ãxnpˆ / ×  Ü?npnpm æ wk…†uEhky r Ùwxl•qwxy ڃnph}v"ˆ , Û  {|ul0lEmol0’ ÔÖÕ rX€csHqmohkˆ * / / {‡cmoi0npVg ÔÖÕ r Ý0Ÿm å•hkˆ + Û 0  {iãDÔÖÕ rXksemolEnpˆ + - . {%“ ÔÖÕ rXksemolEnpˆ + - . y„w2qh ÔÖÕ r Ú$v"wx’xhkˆ * - +  rXkwxmol0nphk{oˆ * × Û rX0motHnpuE{|hkˆ + + , rX0Ÿm ãxvdwxzˆ + , / y„w2q©h áDse{.…†i0€cwxnp{.…m ãÔÖÕ rXkwxmol0nphk{oˆ * × × y„tHwx…oh ÔÖÕ r Ú$v"wx’xhkˆ * - +  rXkwxmol0nphk{oˆ * × × r áa€cwxnp{|Ÿm ãxˆ + × . } y„tHwx…oh}Xhkmo’,g0•n ÔÖÕ r Ú$v"wx’xhkˆ * - +  ÝEtwx…ohk€csei0h r Ú$v"wx’xhkˆ * , +  y„tHwx…oh áamoi0npVg ÔÖÕ r Ú$v"wx’xhkˆ * - ,  y„tHwxl0,mol0h ÔÖÕ r Ú$v"wx’xhkˆ * - ,  y„hk…oh}tHnph}Vi ÔÖÕ r Ùwxl•qwxy ڃnph}v"ˆ - * 

y„h}…o‚ƒ€cwxyâDÔªÕ rX0Ÿm ãxv"wkzˆ + , / y„h}{|mowxŸ… è uv"‹eh}{<ÔÖÕ rXkwx…ohknpnph}ˆ + * + rX0Ÿm ãxv"wkzˆ + , / y„h}n ßXttHuE2v ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * )  y„h}n ßXtnpm q]h ÔÖÕ r Ùwxl•q]wky ڃnph}v"ˆ - *  rXkwx…ohknpnph}ˆ + * , y„h}n ßXi•qwxl0tHh}xh}{|moseVi ÔÖÕ r Ùwxl•q]wky„ˆ , )  y„h}n ßX…oŸ… ÙgEwklE’,h}}i ÔªÕ r Ùwxl•q]wky„ˆ , )  y„h}n ßX…ozg0Dw ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * *  y„h}n ßX…ozg0Fw à u‚$‚ƒhkb{ ÔªÕ r ڃvdwx’,h}ˆ * - ,  y„h}n ßXl0’,…oh}y ÔªÕ r Ùwxl•q]wky Þ…o…omoz0y„h}ˆ , .  y„h}n ßXl0mov"wknphk}i ÔÖÕ r Ùwxl•q]wky ڃnph}v"ˆ - *  y„h}n ßXuEnp3s à u‚ƒ‚$hki{ ݕ‡cwktz ÔªÕ r Ø ¸ ámoiE’,h}npˆ * + *  y„h}ªn à wx“t â,’,{|seuElE i Ùse…†seb{ ÔªÕ r Ùwxl•q]wky„ˆ , )  rX€csHqmohkˆ * / / rXkwxmolEnph}{oˆ * × × y„h}ªn à wx“t â,’,{|seuElEi0€csei0h ÔÖÕ rXkwxmolEnph}{oˆ * × × y„h}ªn à wx“t â,’,{|seuElEi00…m ãkv"wk}z ÔÖÕ r Ùwxl•q]wky„ˆ , )  y„h}ªn à senpnpse2v ÔÖÕ r Ü h}tHnpˆ + 0 ,  y„h}ªn à {|uEy„Vg ÔÖÕ r Ùwxl•q]wky„xse… “’,selEwkŸ… ڃnphkvdˆ . /  r Ùse…osei{ Ø {.seuzˆ Û ×  rXkwxmolEnph}{oˆ * × × ˆ + ) ) rXkwx…ohknpnph}ˆ + * , y„h}ªn à {|uEy„ g äX{|mo’,mo}l ÔÖÕ rXkwxmolEnph}{oˆ + ) ) y„h}ªn à u‚$‚ƒhkb{ ÔªÕ r à uE‚ƒ‚ƒh}{†ˆ + +  y„h}ªn ÙwxtHg0h},mov"mo•n ÔÖÕ rX0Ÿm ãxv"wkz ÙBwktHg0hkˆ + - * y„h}ªn Ùwxl•q]wky ÔªÕ r Ùwxl•q]wky ڃnph}v"ˆ - *  r Ùwxl•q]wk:y æåmohŠ‡Xˆ 0 ,  y„h}ªn Ùwxz ÝEn “…oh ÔÖÕ rXkhkl0ˆ + * Û y„h}ªn ÙgEwklE’,h}}i ÔªÕ r Ùwxl•q]wky„ˆ , )  y„h}ªn Ù…†mozzmolE’ ÔÖÕ rXkwxmolEnph}{oˆ + ) ) y„h}ªn Ù…†moz Ü h}tH•n ÔÖÕ rXkwxmolEnph}{oˆ + ) ) y„h}ªn Ù…†moz Ü h}’,moseVl ÔÖÕ rXkwxmolEnph}{oˆ + ) ) y„h}ªn Ùse…†seb{ ÔªÕ r à {|uEy„gEˆ * ×  r Ùwxl•q]wky„fxh ãxnpˆ 0 )  r Ùse…osei{ Ø {.seuzˆ × )  r ڃvdwx’,h}ˆ * - , 

Xr xwk…ohknpnph}ˆ + * , rXxh}l0ˆ + * Û y„h}nªÙBse…ose{|vdwxztÔÖÕ r Ø ¸ ám†i0’,h}npˆ * + *  y„h}nªÙBse…ose{|€csei0h ÔªÕ rX0{|molEnph}{oˆ + / + y„h}ªn ÙBsel0np{|se…oxsemol0npy ÔÖÕ r Ùwxl•q]wky ÝEz…omolEh}ˆ / +  y„h}ªn ÙBsese{.iEy ÔÖÕ r Ü h}tHnpˆ + 0 ,  y„h}ªn ÙB{.hkwknpse<{ ÔÖÕ rX0{|molEnph}{oˆ + / + y„h}np wknpDw ÔÖÕ rX0m†tnpu{|h}ˆ + + , y„h}np h}‚ƒwku…onp‘•se{|v"wk•n ÔÖÕ r Ø ,‘•se{|v"wknpˆ * * *  y„h}np h}‚ƒwku…oªn äXznpm†vdŸm å•wxnpmoseVl ÔÖÕ rX0…m ãkv"wkz0ˆ + , / y„h}np h}‚ƒwku…oªn ä?q]h}{|…ow2“‘•se{|vdwxn•ÔÖÕ r Ø ,‘•se{|v"wknpˆ * * *  y„h}np h}znpVg ÔÖÕ r Ø ,‘•se{|v"wknpˆ * * +  y„h}np h}y„tH{.m†znpmose}l ÔªÕ r ڃvdwx’,h ÚÖäåˆ * . Û  y„h}np mo{|h}tHªn Ü h}l0iEh}{|molED’ ÔªÕ r Ø ,‘•se{|v"wknpˆ * * +  y„h}np moy„wk‹e…†h}}i ÔªÕ rXxwk…ohknpnph}ˆ + * , y„h}np se“t è+wkv"h ÔªÕ rX0{|molEnph}{oˆ + / + y„h}np senpy„khk{.€chknph}Ò{ é\ÔÖÕ r ڃvdwx’,h}ˆ * - ,  y„h}np senpy„khk{.€chknph}Ò{ ê€ÔÖÕ r ڃvdwx’,h}ˆ * -  y„h}np seuE‹e…oƒh à uE‚ƒ‚ƒh}<{ ÔÖÕ r Ø ,‘•se{|v"wknpˆ * * +  y„h}np seuE‹e…oƒh à uE‚ƒ‚ƒh}{|molE’ ÔÖÕ r Ùwxl•q]wky„ˆ , *  y„h}ªn Þl0wx‹e…oh}Vi ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - +  y„h}ªn Þl0np{|mohky ÔÖÕ r Ø K ÙBse…ose{|vdwxzˆ * ) )  y„h}ªn Þl0np{“ ÔªÕ r Ø K ÙBse…ose{|vdwxzˆ * ) )  y„h}np‘emo…†h è+wkv"h ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . Û  y„h}np‘•selE•n ÔÖÕ r Ùwxl•q]wky„fxh ãxnpˆ 0 )  rXxwkmolEnph}{oˆ + ) * y„h}np‘•se{|v"wk•n ÔÖÕ r Ø K ÙBsel0nph ãxnpˆ * )  r ڃvdwx’,h ÚÖäåˆ * . Û  y„h}np‘e{|wxvdh ÔÖÕ r Ùwxl•q]wky ÝEz{|monph}ˆ / 0  y„h}np‘e{|wxvd©h ß4lEmovdwxnpmoseVl ÔÖÕ r Ùwxl•q]wky ÝEz{|monph}ˆ / 0  y„h}np‘e{|wxvdhkkhk{.m†se}i ÔÖÕ r ڃvdwx’,h ÙBsel0y„uvdhk{oˆ * - Û  y„h}np‘e{|sev"fk"s ÔÖÕ rX0{|molEnph}{oˆ + / + y„h}np‘eu…o…oxwk’,h ÔÖÕ rX0{|molEnph}{oˆ + / + y„h}ªn Ø wkv"vdDw ÔÖÕ

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r Ú$v"wx’xhƒÚÖäåˆ * . Û  y„hknpXh}mo’,gEn•ÔÖÕ r Ü h}tHnpˆ + 0 ,  r Ý0Ÿm å•hkˆ + Û 0  y„hknpXy$q ÔÖÕ r Ùse…ose{oˆ Û +  y„hkªn ڃtse l Ý0Ÿm å•h ÔÖÕ r Ú$tHse l ÝEh}npˆ * + 0  y„hkªn ڃvdwx’,h ÔÖÕ r Ùwxl•qwxy„0…m ãkv"wkzbß4{|{|wŠ“Óˆ . *  r Ú$v"wx’xƒh ÚÖäåˆ * . ×  y„hkªn ڃl0wxtnpm q]h ÔÖÕ rXkwx…oh}npnphkˆ + * , y„hkªn ڃl0monpmowx…oŸm å•hk}i ÔÖÕ r Ø K ÙselEnph ãxnpˆ * ) .  y„hkªn ÚÖäX h„q]motHh ÔÖÕ r Ú$v"wx’xƒh ÚÖäåˆ * . ×  y„hkªn ôsem† l Ý0n “]…oh ÔªÕ rXkhkl0ˆ + * Û y„hknp,h}‚ƒ•n ÔÖÕ r Ü h}tHnpˆ + 0 ,  y„hknp,sesezmol0’ ÔÖÕ r Ú$v"wx’xƒh ÙselEy„uEv"h}{oˆ * - Û  y„hknp€cwky âÔÖÕ rX0Ÿm ãxvdwxzˆ + , / y„hknp€cwknp{|Ÿm ãDÔÖÕ r áa€cwxnp{|Ÿm ãxˆ + × / } y„hknp€cmol0€cFw ãDÔÖÕ rX0{|mol0nphk{oˆ + / + y„hkªn è wxv"h} i ÙBse…ose<{ ÔÖÕ r Ùse…ose{oˆ Û +  y„hkªn è se{|v"wkS… ÔÖÕ rXkwx…oh}npnphkˆ + * , y„hkªn è u v Ùse…ose{|y ÔÖÕ r Ú$v"wx’xhkˆ * -  y„hkªn è u v Ùsezmohky ÔÖÕ rX0{|mol0nphk{oˆ + / , y„hkªn äX‚ƒ‚$y„hk•n ÔÖÕ r Ùwxl•qwxy„0…m ãkv"wkz0ˆ - Û  r Ú$v"wx’xhkˆ * -  y„hkªn äXznpmov"Ÿm å•wxnpmose}l ÔÖÕ rX0Ÿm ãxvdwxzˆ + , 0 y„hkªn äXznpmoseVl ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * +  y„hkªn äX{|moh}lEnpwknpmoseVl ÔÖÕ rX0{|mol0nphk{oˆ + / , y„hkªn äXuEnpz0uEnp‘emo…†h è+wkv"h ÔÖÕ rX0{|mol0nphk{oˆ + / , y„hkªn äXuEnpz0uEnpfxse‘emo…oh ÔÖÕ rX0{|mol0nphk{oˆ + / , y„hkªn ä?qhk{.…†wŠ%“ ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * +  y„hknpkwx’,h äX{|i0hk<{ ÔÖÕ rX0{|mol0nphk{oˆ + / , y„hknpkwx’,h ÝEŸm 啍h ÔÖÕ rX0{|mol0nphk{oˆ + / , y„hknpkwxzhkS{ ÝEseuE{|tHh ÔÖÕ rX0{|mol0nphk{oˆ + / y„hknpkwx{|wkv"h}nphk{|y ÔÖÕ r Ú$v"wx’xƒh ÚÖäåˆ * . ×  y„hknpkhk}l ÔÖÕ r Ùwxl•qwxy„xse… “’,sel0wxŸ… ڃnph}v"ˆ . /  rXkwxmol0nphk{oˆ + ) *

y„h}np0m…ãkhk…JÔÖÕ r ڃvdwx’,h}ˆ * -  y„h}np0…m ãkhk… ß4…†mo’,l0v"h}l0n•ÔªÕ rX  è]ØCڃv"wk’,h}xwxt“â,h}{†ˆ * / × y„h}np0…m ãkv"wk}z ÔÖÕ r à {|uEy„gEˆ * ×  r ڃtse l Ý0h}npˆ * + 0 ˆ * + Û  y„h}np0…†wklEh ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * +  y„h}npxsemol0•n ÔÖÕ rXksem†l0n ßX{.{|w2“Hˆ + . + y„h}npxsemol0npy ÔÖÕ r Ùwxl•q]wky„,molEh}ˆ - /  r Ùwxl•q]wky„xse… “’,selEˆ . ,  rXksem†l0n ßX{.{|w2“Hˆ + . + y„h}npxsey ÔÖÕ r Ùu{|y„se{oˆ ×  y„h}np0{|molEnph}i{ è+wkv"h ÔÖÕ rX0{|molEnph}{oˆ + / y„h}np0{|molEnph}i{ Ý0hk…oh}tHnpmose l äXznpmose}l ÔªÕ rX0{|molEnph}{oˆ + / y„h}np0{|molEnp0{|se’,{|wk2v ÔÖÕ rX0{|molEnph}{oˆ + / y„h}nprXuwk…om†n “ ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . ×  y„h}ªn Ü?wky„nphkS{ äX}z ÔÖÕ rXkwxmolEnph}{oˆ + ) * y„h}ªn Ü h}tH•n ÔÖÕ r Ü h}tHnpˆ + 0  y„h}ªn Ü h}y„se…†uEnpmoseVl ÔÖÕ rX0{|molEnph}{oˆ + / y„h}ªn Ü?’x"‹ ÔªÕ r Ùse…ose{†ˆ Û +  y„h}ªn Ü?’x‹eDw ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * ,  y„h}ªn Ü?mo’,g0•n ÔÖÕ r Ü h}tHnpˆ + 0  y„h}ªn Ý0hk…oh}tHnph}Vi ÔÖÕ r Ùwxl•q]wky ڃnph}v"ˆ - +  y„h}ªn Ý0h ó uEhkl0tHh ÔÖÕ r Ùwxl•q]wky ÝEz{|monph}ˆ / 0  y„h}ªn Ý0gEwkz0h ÔÖÕ r Ùu{|y„se{oˆ ×  y„h}ªn Ý0…m 啍h ÔÖÕ r Ùwxl•q]wky Þ…o…omoz0y„h}ˆ , .  r Ùwxl•q]wky Ü hktnpwxl0’,…ohkˆ . ×  r ڃvdwx’,h ÙselEy„uEv"h}{†ˆ * - Û  r Ü h}tHnpˆ + 0  y„h}ªn Ý0z0h}h}Vi ÔÖÕ rX€csHqmohkˆ * / / y„h}ªn Ý0npwxnpuy ÔÖÕ r ڃvdwx’,h ÚÖäåˆ * . ×  y„h}ªn Ý0nphkl0tHmoJ… ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * ,  y„h}ªn Ý0nphk{|h}"s ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * ,  y„h}ªn Ý0n “]…oh ÔªÕ r à {|uEy„gEˆ * ×  rXkhkl0ˆ + * Û y„h}npfxwkP‹ ßX{|{.w2“ ÔªÕ rXkwxmolEnph}{oˆ + ) * y„h}npfxwk3‹ ÝEnpsezy ÔÖÕ rXkwxmolEnph}{oˆ + ) +

y„h}npfxhãxn•ÔÖÕ r Ùwxl•q]wky„fxhãxnpˆ 0 )  r ڃvdwx’,h}ˆ * -  y„h}npfxh ãxnp‘e…owx’xy ÔªÕ r Ùwxl•q]wky„fxh ãxnpˆ 0 )  y„h}npf]mo…oh ÔÖÕ r Ùwxl•q]wky„ˆ , *  y„h}npf]mo…ohky ÔÖÕ r Ùwxl•q]wky„ˆ , *  y„h}npfxsetz ÔÖÕ r Ü h}tHnpˆ + 0  y„h}ªn ç l0tHg0wxl0’,h}Vi ÔÖÕ r Ùwxl•q]wky„ˆ , *  y„h}nputz ÔÖÕ rX0{|molEnph}{oˆ + / y„h}ªn ç zi0wxnph}xh}{|moseVi ÔÖÕ r Ùwxl•q]wky„ˆ , *  y„h}n æ h}…osetHmon %“ ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - +  y„h}n æåmohŠ‡Yzse{|•n ÔÖÕ rXxwkmolEnph}{oˆ + ) + y„h}n æåmohŠ€‡ é ‘•se{|2v ÔÖÕ rXxwkmolEnph}{oˆ + ) + y„h}n æåmoy„mo‹e…†h ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - +  y„h}n áamoi0npVg ÔÖÕ rXxh}l0ˆ + * × r Ü h}tHnpˆ + 0  r Ý0…m å•h}ˆ + Û 0  y„h}n áamol0iEmol0’ ÔÖÕ r Ùwxl•q]wky„xse… “]’xselEwk……Ú$nphkvdˆ . /  y„h}n áamol0iEsH_‡ ÔªÕ rXxwkmolEnph}{oˆ + ) + y„h}n áamol0iEsHn‡ ÙB{|h}wxnph}}i ÔªÕ r Ø K ÙBsel0nph ãxnpˆ * ) .  y„h}n áDse{|…oi0€cwxnp{|Ÿm ãDÔÖÕ r Ùwxl•q]wk:y æåmohŠ‡/ˆ 0 ,  rXxwkmolEnph}{oˆ + ) , y„h}n áDse{|…obi é ‘•se{|2v ÔÖÕ rXxwkmolEnph}{oˆ + ) , y„h}n é\ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - +  rXxsemol0npˆ + - . r Ü h}tHnpˆ + 0  y„h}n éDæ h}…osetHmon %“ ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - +  y„h}n ê€ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - +  rXxsemol0npˆ + - . r Ü h}tHnpˆ + 0  y„h}n êæ h}…osetHmon “ ÔªÕ r Ùwxl•q]wky ڃnphkvdˆ - +  y„h}ªn õ%ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - ,  y„g0wxi0sHg‡ ÔÖÕ r Ùse…†seS{ Ø {|seuEzˆ × )  y„g0wxzh ÔªÕ r Ùu{|y„se{oˆ × .  y„g0hkwk<{ ÔÖÕ rXxwkmolEnph}{oˆ + ) , r á̀cwknp{|Ÿm ãxˆ + × / } y„g0sHg‡ ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - , 

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Em •h rÚ$tHsel ÝEh}npˆ * + . y„…m å•hÔÖÕ r Ùwxl•qwxy„ˆ , *  r Ùwxl•qwxy Ü h}tHnpwxl0’,…oh}ˆ / )  r Ø K Ùse…ose{|v"wkz0ˆ * ) )  r Ú$v"wx’xhkˆ * -  rX0motHnpuE{|hkˆ + + , rX0Ÿm ãxvdwxzˆ + , 0 r Ü h}tHnpˆ + 0 .  y„v"sesenp g ÝEtwx…oh ÔÖÕ r Ú$v"wx’xhkˆ * - - ˆ * - .  ÝEzh}t r Ùse…ose{oˆ 0 /  y„z0h}h}Vi ÔÖÕ rX€csHqmohkˆ * / / y„npwx{|npksem†l0•n ÔÖÕ r Ùwxl•qwxy„,mol0hkˆ - /  ÝEnpwknph r Ú$tHse l ÝEh}npˆ * + .  ÝEnpwknpuy rX€csHqmohkˆ * / + y„npwxnpuy ÔÖÕ r Ú$v"wx’xƒh ÚÖäåˆ * . ×  y„nphkl0tHmoJ… ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * ,  y„nphktz ÔÖÕ rX€csHqmohkˆ * / 0 y„nphkzy ÔÖÕ rX€csHqmohkˆ * / 0 y„nphk{|h}"s ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * ,  y„n “]…oh ÔªÕ r à {.uy„g0ˆ + )  rXkhkl0ˆ + * × y„u‹enp{|wktH•n ÔÖÕ r Ü h}’,mosel0ˆ + Û +  y$‡cwxz à uE‚ƒ‚ƒh}{|y ÔÖÕ r Ø K ÙselEnph ãxnpˆ * ) .  r Ø ª áamoiE’xhknpˆ * + +  y$‡cwxz ÜtØqàCÔÖÕ r Ú$v"wx’xhkˆ * - .  y$“]y„nph} v à moªn äX{|i0hkb{ ÔªÕ r Ú$v"wx’xhkˆ * - .  y$“]y„nph} v àx“npƒh äX{.iEh}<{ ÔÖÕ r Ú$v"wx’xhkˆ * - .  npwxP‹ ßX{.{|w2“ ÔÖÕ rXkwxmol0nphk{oˆ + ) npwx3‹ Ý0npsez0y ÔÖÕ rXkwxmol0nphk{oˆ + ) nphky„ªn äXznpmoseVl ÔÖÕ r Ø ,‘•se{|vdwxnpˆ * * ,  npƒh ãk•n ÔªÕ r Ùwxl•qwxy„fxh ãxnpˆ 0 )  r Ùse…osei{ Ø {|seuzˆ × )  r Ú$v"wx’xhkˆ * - .  fxh ãxnp m†{.hktnpm†sel rXkwxmol0nphk{oˆ * Û , npƒh ãknp‘e…†wk’,y ÔÖÕ r Ùwxl•qwxy„fxh ãxnpˆ 0 )  npƒh ãkªn ö hŠ“y ÔÖÕ r Ú$v"wx’xhkˆ * - .  Ý Ÿå

nphãxnpxwxl0’,uwk’,hkyÔÖÕ r ڃvdwx’,h}ˆ * - .  nph ãxnpxm†y„•n ÔÖÕ r ڃvdwx’,h}ˆ * - /  npmo…oh ÔªÕ r Ùwxl•q]wky„ˆ , +  npmo…oh}Xhkmo’,g0•n ÔÖÕ r Ùwxl•q]wky„ˆ , +  npmo…oh}y„Xse{|Ÿm å•selEnpwk…†… “ ÔÖÕ r Ùwxl•q]wky„ˆ , +  npmo…oh}:y æ h}{|npmotHwx…o… “ ÔªÕ r Ùwxl•q]wky„ˆ , +  npmo…oh áamoiEnp}g ÔÖÕ r Ùwxl•q]wky„ˆ , +  npsetz ÔÖÕ r Ü h}tHnpˆ + 0 .  npsekwx’,h ÔÖÕ rX0{|molEnph}{oˆ + / . npsez ÞEiE’,h ÔÖÕ r Ùwxl•q]wky ÝEz{|monph}ˆ / 0  npsez,h}‚ƒ•n ÔÖÕ r Ü h}tHnpˆ + 0 .  npsez ÜBm†’xgE•n ÔÖÕ r Ü h}tHnpˆ + 0 .  np{.wxl0y„…†wknph ÔÖÕ rXkwxmolEnph}{oˆ + ) rXksem†l0n ßX{.{|w2“Hˆ + . , r Ü h}’,moselEˆ + Û ,  r á̀cwknp{|Ÿm ãxˆ + × / } np{.wxl0y„z0sey„h ÔÖÕ r Ý0Ÿm å•hkˆ + Û 0  np{.uh}€cwxnp{|Ÿm ãDÔÖÕ rX0Ÿm ãxv"wkzˆ + , 0 uElEmonph ÔÖÕ r Ü h}tHnpˆ + 0 .  r Ü h}’,moselEˆ + Û ,  uElEzwkuy„h ÔªÕ rX€csHqmohkˆ * / 0 uElE{.hk’,moy„nph}{| hktseiEh}{|‘ÓwktHnpse{“ÔÖÕ r ڃvdwx’,h} hktseiEh}{oˆ * . )  uEziEwknph ÔÖÕ r Ùwxl•q]wky„ˆ , +  r Ùwxl•q]wky ڃnph}v"ˆ - ,  uEziEwknpƒh Ø  ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * + +  uEziEwknpƒh ä?qhk{.…†wŠ“ Ø  ÔÖÕ r Ø ¸ ámoiE’,h}npˆ * + +  qwx…omo}i ÔªÕ r ڃvdwx’,h}ˆ * - /  qwx…omo i ÙBg0u l âÔÖÕ r Ùwxl•q]wky„ˆ , +  qmohŠ‡Yzse{|•n ÔÖÕ rXkwxmolEnph}{oˆ + ) qmoy„mo‹e…†h ÔÖÕ r Ùwxl•q]wky ڃnph}v"ˆ - ,  ‡YmoiEnp}g ÔÖÕ r Ùwxl•q]wky„ˆ , +  r Ùwxl•q]wky Þ…o…omoz0y„h}ˆ , .  r Ùwxl•q]wky Ü hktnpwxl0’,…ohkˆ / )  r Ùwxl•q]wky ÝEz{|monph}ˆ / 0 

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rÙwxl•q]wkyڃnphkvdˆ - , rXxsemol0npˆ + - / rÜ h}tHnpˆ + 0 / “æ h}…osetHmon %“ ÔÖÕ r Ùwxl•q]wky ڃnphkvdˆ - ,  å ÔÖÕ

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