algorithms for packet forwarding

... MODELLING Technical University of Denmark DK-2800 Lyngby – Denmark J. No. ALO 1.2.1999 HBN/ms ALGORITHMS FOR LINEAR OPTIMIZATION An Introduction Hans Bruun Nielsen 2nd Edition IMM  ✁ ✂✄ ☎✆ ✂ ✝ ✞✟✠ ✟ ✡☛ ☞ ✟✠ ✌ ✟✍ ✟ ✌ ✍ ✎ ☞ ☞ ✟ ✡ ✏ ☛ ✍ ☞ ✞✟ ✠ ☞✑ ✒✟ ✡ ☞ ✠ ✎ ✡ ☞ ✞✟ ✓☛ ✑ ✍ ✠ ✟ ✔✕ ✕✖ ✗ ✘✙ ✚ ✛✜ ✛✢✣ ✚ ✛✤✥ ✣ ✥ ✦✧ ✣ ✚ ✣ ★ ✛ ✚ ✚ ✛ ✥ ✩ ✗✪ ☞ ☞ ✞✟ ✝ ✟ ✓ ✞ ✡ ✎ ✓ ✪ ✫✬ ✡ ✎✭ ✟✍ ✠ ✎ ☞✮ ☛ ✏✯ ✟ ✡✰ ✪ ✍ ✱✳✲ ✴☛ ✵ ✟ ✏ ✑ ✫ ✫✮✷✶ ☞ ✞✟ ✮ ✓ ✪ ✡ ✪ ✫ ✠ ☛ ✸ ✟ ✑ ✠ ✟ ✏ ✑ ✫ ☞ ☛ ☛ ☞ ✞✟✍ ✠ ✲ ✹✑ ✺ ✺✟✠ ☞ ✎☛ ✡ ✠ ✏ ☛ ✍ ✎✰ ✵ ✍ ☛ ✭ ✟ ✰ ✟ ✡ ☞ ✪ ✍ ✟ ✭ ✟✍ ✮ ✌ ✟ ✫ ✓☛ ✰ ✟ ✲ ✻ ✮ ✡ ✺ ✸ ✮✷✶ ✯ ✟ ✓✟ ✰ ✸ ✟✍ ✼✽ ✽ ✾ ✴ ✪ ✡ ✠ ✿ ✍ ✑ ✑ ✡ ❀ ✎✟ ✫ ✠ ✟ ✡ ✟ ✰ ✪ ✎ ✫❁ ❂❃❄ ❅❆❇ ❇ ❈ ❉❊❋ ❈ ❉● ✑ ✍ ✫❁ ❂❊ ❊❍ ■ ❏ ❏▲❑ ❑ ❑ ❈ ❆❇ ❇ ❈ ❉❊❋ ❈ ❉● ❏◆▼ ❂❃❄ ❖✪ ✰ ✺ ✍ ✪ ☞ ✟ ✏ ✑ ✫ ☞ ☛ ✵ ✍ ☛ ✏ ✟✠ ✠ ☛ ✍  ✲ ◗ ☛ ☛ ✠ ✏ ☛ ✍ ✵ ☛ ✎ ✡ ☞ ✎ ✡ ✺ ☛ ✑ ☞ ✠ ☛ ✰ ✟ ✟✍ ✍ ☛ ✍ ✠ ✶ ✌ ✞ ✎ ✓ ✞ ✞ ✪ ✭ ✟ ✸ ✟ ✟ ✡ ✓☛ ✍ ✍ ✟ ✓ ☞ ✟ ✒ ✎ ✡ ☞ ✞ ✎ ✠ ✭ ✟✍ ✠ ✎☛ ✡✷✲ ✻ ✮ ✡ ✺ ✸ ✮✷✶ ❘ ✟ ✸ ✍ ✑ ✪ ✍ ✮ ✼✽ ✽❙ ✲ ✴ ✪ ✡ ✠ ✿ ✍ ✑ ✑ ✡ ❀ ✎✟ ✫ ✠ ✟ ✡ ❚ ☛ ✍ ✟ ✟✍ ✍ ☛ ✍ ✠ ✞ ✪ ✭ ✟ ✸ ✟ ✟ ✡ ✏ ☛ ✑ ✡ ✒ ✪ ✡ ✒ ✓☛ ✍ ✍ ✟ ✓ ☞ ✟ ✒ ✎ ✡ ☞ ✞ ✎ ✠ ✠ ✟ ✓☛ ✡ ✒ ✟ ✒ ✎ ☞ ✎☛ ✡✷✲ ✻ ✮ ✡ ✺ ✸ ✮✷✶ ❯ ✪ ✡ ✑ ✪ ✍ ✮ ✼✽ ✽ ✽ ✲ ✴ ✪ ✡ ✠ ✿ ✍ ✑ ✑ ✡ ❀ ✎✟ ✫ ✠ ✟ ✡ ✛ ✼ ✔✕ ✖✝ ✎ ✖ ✞✠ ✒ ✟✗ ✘ ✟ ✒✙ ✚ ✎ ✝ ✑ ✡ ✏ ✿ ✮ ✸ ✫☛ ✓ ✱ ✟ ✫ ✎✰ ✎ ✡ ✪ ☞ ✎☛ ✡ ✌ ✟ ✠ ✟ ✟ ☞ ✞ ✪ ☞ ❅ ✰ ✑ ✠ ☞ ✠ ✪ ☞ ✎ ✠ ✏ ✮ ❙ ❙ ✵ ❅ ✞ ❙ ✩ ☛ ✎ ✓ ✲ ✓ ✾ ✸ ✏ ✝ ✞✟ ✪ ✠ ✠ ✑ ✰ ✵ ☞ ✎☛ ✡ ✍ ✪ ✡ ✱ ✎ ❙ ✏ ✞ ✖ ✎✰ ✵ ✫ ✎✟✠ ☞ ✞ ✪ ☞ ☞ ✞✟ ✖ ✗ ✖ ✰ ✪ ☞ ✍ ✎ ✷ ❙ ❙ ✵ ✎ ✠ ✡☛ ✡ ✓ ✠ ✎ ✡ ✺ ✑ ✫ ✪ ✍ ✶ ✎✳✲ ✟ ✲ ✎ ❙ ❙ ✵ ✏ ❀ ✛ ✟✷ ✎ ✠ ☞ ✠ ✶ ✪ ✡ ✒ ✌ ✟ ☛ ✡ ✒ ① ✡ ✩✕ ✞  ✂✁ ✩ ✢ ✌ ✞✟✍ ✟  ✂✁ ✞ ❯ ✒ ❙ ✵ ✎ ❙ ❙ ✵ ✏ ❀ ✛ ❙ ✎ ✓ ✲ ✓ ✾ ✓ ✏ ✎ ✠ ☞ ✞✟ ✠ ☛ ✓ ✪ ✫ ✫✟ ✒ ✙✱ ✤ ☞ ✵ ✭ ✚ ✛✤✥ ✜ ✣ ✚ ✱ ✛ ✲ ✌ ✎ ☞ ✞ ✍ ✟✠ ✵ ✟ ✓ ☞ ☞ ☛ ❙✲ ✮✰ ☛ ✡ ✺ ✪ ✫ ✫ ✭ ✟ ✓ ☞ ☛ ✍ ✠ ✝ ✎ ✡ ✞ ✎ ❙ ✏ ✶ ☞ ✞✟ ✭ ✟ ✓ ☞ ☛ ✍ ✩ ✕ ✞  ✂✁ ✩ ✎ ✠ ☞ ✞✟ ☛ ✡✟ ☞ ✞ ✪ ☞ ✰ ✎ ✡ ✎✰ ✎ ✳ ✟✠ ☞ ✞✟ ✒ ✎ ✠ ☞ ✪ ✡ ✓✟ ▼ ✩ ✒ ✝ ▼ ❂ ✲ ✝ ✞ ✎ ✠ ✎✰ ✵ ✫ ✎✟✠ ☞ ✞ ✪ ☞ ☞ ✞✟ ✪ ✡ ✺ ✫✟ ✸ ✟ ☞ ✌ ✟ ✟ ✡ ✩ ✪ ✡ ✒ ✩✕ ✎ ✠ ✎ ✡ ☞ ✞✟ ✍ ✪ ✡ ✺✟ ✪ ✥ ✢ ✄ ❂ ✬ ✶ ✠ ☛ ☞ ✞ ✪ ☞ ✩ ✵ ✩✕ ✟ ✥ ✲ ❖ ✡ ☞ ✞✟ ✡✟✷ ☞ ✠ ✟ ✓ ☞ ✎☛ ✡ ✌ ✟ ✪ ✍ ✟ ✺ ✎✭ ✟ ✡ ✪ ✺ ✍ ✪ ✒ ✎✟ ✡ ☞ ✜ ✴ ☛☞ ✑ ✪ ✡ ✒ ✓☛ ✡ ✠ ✎ ✒✟✍ ☞ ✞✟ ✵ ✍ ☛ ✸ ✫✟ ✰ ☛ ✏ ☛ ✡ ✒ ✎ ✡ ✺ ❂ ✠ ✑ ✓ ✞ ☞ ✞ ✪ ☞ ✜ ✵ ❂ ❃ ✥ ✪ ✡ ✒ ❙ ❂ ✞ ✸ ☛ ✎ ✓ ✲ ✓ ❙ ✏ ✝ ✞✟ ✭ ✟ ✓ ☞ ☛ ✍ ✎ ✡ ☞ ✞✟ ✡ ✑ ✫ ✫ ✠ ✵ ✪ ✓✟ ☛ ✏ ❙ ✌ ✞ ✎ ✓ ✞ ✎ ✠ ✓ ✫☛ ✠ ✟✠ ☞ ☞ ☛ ☞ ✞✟ ✠ ☞ ✟ ✟ ✵ ✟✠ ☞ ✒✟✠ ✓✟ ✡ ☞ ✒ ✎ ✍ ✟ ✓ ☞ ✎☛ ✡ ✒ ✜ ✎ ✠ ✏ ☛ ✑ ✡ ✒ ✸ ✮ ✵ ✍ ☛ ✤ ✟ ✓ ☞ ✎ ✡ ✺ ☞ ✞ ✎ ✠ ✭ ✟ ✓ ☞ ☛ ✍ ☛ ✡ ☞ ☛ ✞ ✎ ❙ ✏ ✶ ❂ ✞ ✒  ✂✁ ✜ ☛ ✎ ✓ ✲ ✓ ✽ ✏ ❘ ✍ ☛ ✰ ☞ ✞✟ ✪ ✸ ☛ ✭ ✟ ☛ ✸ ✠ ✟✍ ✭ ✪ ☞ ✎☛ ✡ ✌ ✟ ✠ ✟ ✟ ☞ ✞ ✪ ☞ ✜ ✵ ❂ ✞ ✒ ✜ ✵  ✂✁ ✜ ❄ ✥ ☛ ❖ ✏ ☞ ✞ ✎ ✠ ✎ ✠ ✠ ☞ ✍ ✎ ✓ ☞ ✫✮ ✡✟ ✺ ✪ ☞ ✎✭ ✟ ✶ ☞ ✞✟ ✡ ✎ ✓ ✲ ✓ ✽ ✏ ✎ ✠ ✪ ✠ ☛ ✫ ✑ ☞ ✎☛ ✡ ☞ ☛ ✎ ✓ ✲ ✓ ❙ ✏ ✲ ✵ ☞ ✞✟✍ ✌ ✎ ✠ ✟ ✶ ✜ ✎ ✠ ☛ ✍ ☞ ✞☛ ✺☛ ✡ ✪ ✫ ☞ ☛ ✞ ✎ ❙ ✏ ✶ ✌ ✞ ✎ ✓ ✞ ✰ ✟ ✪ ✡ ✠ ☞ ✞ ✪ ☞ ✎ ☞ ✸ ✟ ✫☛ ✡ ✺ ✠ ☞ ☛ ✠ ✎ ❙ ✏ ✪ ✡ ✒ ✓ ✪ ✡ ✸ ✟ ✟✷ ✵ ✍ ✟✠ ✠ ✟ ✒ ✪ ✠ ✜ ✞ ❙ ✵ ❅ ✲ ❀☛ ☞ ✟ ✶ ☞ ✞ ✪ ☞ ☞ ✞ ✎ ✠ ✒ ✎ ✠ ✓ ✑ ✠ ✠ ✎☛ ✡ ✓ ✪ ✡ ✸ ✟ ✠ ✟ ✟ ✡ ✪ ✠ ✪ ✡ ✪ ✫ ☞ ✟✍ ✡ ✪ ☞ ✎✭ ✟ ✵ ✍ ☛ ☛ ✏ ☛ ✏  ✪ ✠ ✟ ✜ ✎ ✡ ❘ ✪ ✍ ✱ ✪ ✠ ✶ ✻ ✟ ✰ ✰ ✪ ✶ ✵✷✲ ✓ ✽ ✲ ① ✡ ❉ ✘ ✚✛ ✳ ✚ ✕ ✣ ✚ ✤ ✽ ✖ ✼ ✛ ✜ ✴ ✾ ✥☎ ❀ ☎ ✆ ✴ ✪ ✖ ✗ ✚ ✕ ✛ ✤ ✧★✝ ✞✠✟ ✝ ✡☛ ★✩ ✧ ✝ ✝ ✫ ✤ ☛ ✞ ✥ ✫ ✦ ☞ ✤ ✚ ✘ ✚ ✕ ✛ ✘ ✼ ✛ ✸ ✢ ✛ ✚✛ ✸ ✶ ✖ ✜ ✛ ✢ ✗✾ ✗ ✚✛ ✶✘ ✙ ✛✦ ✵ ✣ ✚ ✖ ✘ ✜ ✗ ✣ ⑧ ✤ ✌ ✣ ✳ ✣ ✜ ✢ ✣✍ ✖ ✗ ✚ ✕ ✛ ✻ ✘ ✸ ✸ ✛ ✗ ✹ ✘ ✜ ✢ ✖ ✜ ✽ ✸ ✛ ✗ ✖ ✢✵ ✣ ✷ ✳ ✎ ✥ ☞ ✤ ✪ ✤ ✣✏ ✣ ⑧ ☞ ✤ ❀ ✔✕ ✛ ✶ ✣ ✚ ✸ ✖ ✚ ✖ ✜ ✥☎ ❀ ☎ ✆ ✣ ✪ ✖ ✗ ✣ ✗ ✘ ✻ ✣ ✷ ✷ ✛ ✢ ★ ☛ ✬ ✭ ✧ ✦ ✞ ✧ ✑ ✭ ★ ✞ ✩ ✥✒✓ ✣ ✜ ✢ ✥☎ ❀ ☎ ✆ ✴ ✪ ✖ ✗ ✚ ✕ ✛ ✦ ✫ ✩ ✭ ★ ✤ ✧ ✡☛ ★ ✞ ✥ ✫ ✦ ✝ ✳ ✗ ✛ ✛ ✫✔✕ ✳ ☛ ✛ ✻ ✚ ✖ ✘ ✜ ✦ ❀ ✩ ❀ ✩ ✬ ✘ ✸ ✫ ✩ ☎ ✳ ☛ ✛ ✻ ✚ ✖ ✘ ✜ ✖ ❀ ☎ ❀ ✔ ✬ ❀ ✗ ✶ ✘ ✸ ✛ ✣ ✻ ✻ ✵ ✸ ✣ ✚✛ ✗ ✘ ✷✵ ✚ ✖ ✘ ✜ ✻ ✣ ✜ ✴ ✛ ✙ ✘ ✵ ✜ ✢ ✴ ✾ ✫ ✩ ✞ ✘ ✫✬ ✫ ✦ ★ ✤ ✞ ✩ ★ ✦ ✝ ✙ ✫ ✩ ✭ ★ ✞ ✥ ✫ ✦ ✳ ✫✔✕ ✳ ☛ ✛ ✻ ✚ ✖ ✘ ✜ ✦ ❀ ✩ ❀ ✕ ✬ ✳ ✫ ✩ ☎ ✳ ☛ ✛ ✻ ✚ ✖ ✘ ✜ ✖ ❀ ✩ ✬ ❀ ✗ ✷ ✗ ✘ ✚ ✕ ✛ ✹ ✸ ✘ ✚ ✛ ✻ ✚ ✖ ✘ ✜ ✻ ✣ ✜ ✴ ✛ ✙ ✘ ✵ ✜ ✢ ✼ ✖ ✣ ✘ ✸ ✚ ✕ ✘ ✽ ✘ ✜ ✣ ✷ ✚ ✸ ✣ ✜ ✗ ✙ ✘ ✸ ✶ ✣ ✚ ✖ ✘ ✜ ✳ ✴✵ ✚ ✖ ✚ ✖ ✗ ✘ ✵ ✚ ✗ ✖ ✢ ✛ ✚ ✕ ✛ ✗✻ ✘ ✹ ✛ ✘ ✙ ✚ ✕✖ ✗ ✖ ✜ ✚ ✸ ✘ ✢✵ ✻ ✚ ✖ ✘ ✜ ✚ ✘ ✽ ✘ ✖ ✜ ✚ ✘ ✚ ✕✖ ✗ ❀ ✗ ❆ ✛ ❆ ✞ ✤ ✩ ✣ ✱ ✛ ✚ ✳ ✜ ✛ ✭ ✛ ✣ ✱ ✱ ✛ ✵ ✱ ★ ✯✥ ✭ ✚ ✛✤✥ ✛ ✓ ☞✍✌ ✜ ✌ ✢ ✑ ✣ ✗ ✓ ✚ ✙ ✚ ✔ ✚ ✑ ✤ ✗ ✓ ✓ ✚✝ ✓ ✏ ✕ ✛ ✑ ✙ ✚ ✑ ✛ ✂ ✟ ✓☛ ✡ ✠ ✎ ✒✟✍ ✪ ✡ ✻ ✵ ✵ ✍ ☛ ✸ ✫✟ ✰ ✎ ✡ ✠ ☞ ✪ ✡ ✒ ✪ ✍ ✒ ✏ ☛ ✍ ✰ ✌ ✎ ☞ ✞ ✒ ✭ ✪ ✍ ✎ ✪ ✸ ✫✟✠ ✎r ✏ ✰ ✎ ✡ ❞ ✎ ✵ ✩ ❁ ❙ ✩ ✞ ✏ ✢ ✩ ✟ ✸ ❡ ✪ ✡ ✒ ☞ ✞✟ ✪ ✠ ✠ ☛ ✓ ✎ ✪ ☞ ✟ ✒ ✵ ✍ ☛ ✸ ✫✟ ✰ ✎r   ✏ ✰ ✎ ✡ ❞ ❦  ✎ ✩ ✏ ❁ ❙ ✩ ✞ ✏ ✢ ✩ ✓ ✸ ❡ ✢ ✎ ✓ ✲ ✛✥ ✪ ✏ ✌ ✞✟✍ ✟ ❦✁  ✎ ✠ ☞ ✞✟ ✮ ✤ ✩ ✣ ✱ ✛ ✚ ✳ ✜ ✛ ✭ ✠ ✣ ✱ ✱ ✛ ✵ ✱ ✌ ✯✥ ✭ ✚ ✛✤✥ ✥ ✡ ❦✁  ✎ ✩ ✏ ✞ ✎ ✵ ✩ ✒ ✂ ✑ ✝ ❚ ❝ ✛ ✫☛ ✺ ☎ ❚ ✢ ✎ ✓ ✲ ✛✥ ✸ ✏ ✌ ✎ ☞ ✞ ☞ ✞✟ ✠ ✣ ✱ ✱ ✛ ✵ ✱ ✙ ✣ ✱ ✣ ✜ ✵ ✚✵ ✱ ✂ ✓ ✥ ✲ ✮ ✫ ✪ ✍ ✺✟ ✭ ✪ ✫ ✑ ✟ ☛ ✏ ✂ ✟ ✰ ✵ ✞ ✪ ✠ ✎✳ ✟✠ ☞ ✞✟ ✸ ✪ ✍ ✍ ✎✟✍ ☞ ✟✍ ✰ ✪ ✡ ✒ ✱ ✟ ✟ ✵ ✠ ✙ ☎ ❚ ✥ ✪ ✌ ✪ ✮ ✏ ✍ ☛ ✰ ✳ ✟✍ ☛ ✲ ✮ ✠ ✰ ✪ ✫ ✫✟✍ ✭ ✪ ✫ ✑ ✟ ☛ ✏ ✂ ✟ ✰ ✵ ✞ ✪ ✠ ✎✳ ✟✠ ☞ ✞✟ ☛ ✸ ✤ ✟ ✓ ☞ ✎✭ ✟ ✭ ✪ ✫ ✑ ✟ ✟ ✠ ✎ ✩ ✏ ✞ ✎ ✵ ✩ ✲ ❖ ✡ ☞✑ ✎ ☞ ✎✭ ✟ ✫✮✷✶ ✪ ✰ ✎ ✡ ✎✰ ✎✳ ✟✍ ✩ ✎ ✂ ✏ ☛ ✏ ✎r   ✏ ✠ ✞☛ ✑ ✫ ✒ ✓☛ ✡ ✭ ✟✍ ✺✟ ☞ ☛ ✪ ✡ ☛ ✵ ☞ ✎✰ ✪ ✫ ✠ ☛ ✫ ✑ ☞ ✎☛ ✡ ☛ ✏ ✎r ✏ ✎ ✏ ✂ ☛ ✥ ✲ ✝ ✞✟ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✒☛ ✰ ✪ ✎ ✡ ☛ ✏ ✎r   ✏ ✶ q   ✞ ✙ ✩ ✴ ☛☞ ✑ ✿ ❙ ✩ ✞ ✏ ✢ ✩ ✓ ✸ ✥ ✶ ✎ ✠ ✟ ✬ ✑ ✪ ✫ ☞ ☛ q ✌ ✶ ☞ ✞✟ ✛ ✥ ✚✵ ✱ ✛✤✱ ☛ ✏ ☞ ✞✟ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✒☛ ✰ ✪ ✎ ✡ ☛ ✏ ✎r ✏ ✲ ✂ ✟ ✪ ✠ ✠ ✑ ✰ ✟ ☞ ✞ ✪ ☞ ☞ ✞ ✎ ✠ ✠ ✟ ☞ ✎ ✠ ✡☛ ☞ ✟ ✰ ✵ ☞✮✷✶ ✪ ✡ ✒ ☞ ✞ ✪ ☞ ✌ ✟ ✱ ✡☛ ✌ ✪ ✵ ☛ ✎ ✡ ☞ ✩ ✴ q ✌ ✲ ✂ ✟ ✠ ✟ ✟ ✱ ✪ ✦ ✡✟ ✌ ✧ ✵ ☛ ✎ ✡ ☞ ✩ ❈ ❄ ❂ ✠ ☛ ☞ ✞ ✪ ☞ ❄ ✓ ✥ ✢ ✩ ❈ ❄ ❂ ✴ q ✌ ✪ ✡ ✒ ❦✁  ✎ ✩ ❈ ❄ ❂ ✏ ❃ ❦   ✎ ✩ ✏ ☛ ✎ ✓ ✲ ✛ ✼ ✏ ✝ ✞ ✎ ✠ ✰ ✟ ✪ ✡ ✠ ☞ ✞ ✪ ☞ ❂ ✠ ✞☛ ✑ ✫ ✒ ✸ ✟ ✪ ✦ ✵ ✶ ✭ ✵ ✥ ✚ ✦ ✛ ✱ ✵ ✭ ✚ ✛✤✥ ✶ ✠ ✪ ☞ ✎ ✠ ✏ ✮ ✎ ✡ ✺ ❂ ✵ ✷ ✐❳❥ ❦✁  ✎ ✩ ✏ ✹ ❃ ✥ ✢ ✎ ✓ ✲ ✛ ✓ ✪ ✏ ✌ ✞✟✍ ✟ ✐❳❥ ❦   ✎ ✠ ☞ ✞✟ ✺ ✍ ✪ ✒ ✎✟ ✡ ☞ ✇ ✡ ✐❳❥ ❦✁  ✎ ✩ ✏ ✞ ✎ ✒ ✂ ✩ ❀ ✛ ☛ ✎ ✓ ✲ ✛ ✓ ✸ ✏ ✝ ✞✟ ✴✟✠ ✠ ✎ ✪ ✡ ☛ ✏ ❦✁  ✎ ✩ ✏ ✎ ✠ ♥ ❦✁  ✎ ✩ ✏ ✞ ✂ ❱ ❀ ❂ ✢ ✎ ✓ ✲ ✛ ✛ ✏ ✥ ✡ ✔✕✖ ✗ ✢ ✛ ✔ ✜ ✖ ✚ ✖ ✘ ✜ ✖ ✗ ✛✦ ✵✖ ✼ ✣ ✷ ✛ ✜ ✚ ✛ ✖ ✚ ✕ ✚ ✕ ✛ ✢ ✛ ✔ ✜ ✖ ✚ ✖ ✘ ✜ ✥ ✔ ❀ ✖ ✪ ✙ ✘ ✸ ✥★ ✪ ✖ ✜ ✻ ✣ ✜ ✘ ✜ ✖ ✻ ✣ ✷ ✙ ✘ ✸ ✶ ❀ ❉ ✘ ✛ ✳ ✣ ✣ ✜ ✢ ✣ ✖ ✜✻ ✷✵ ✢ ✛ ✗ ✷ ✣ ✻ ✩ ✼ ✣ ✸ ✖ ✣ ✴ ✷ ✛ ✗ ✥ ✻ ✙ ❀ ✪ ✚ ✣ ✶ ✹ ✷ ✛ ☎ ❀ ✔ ✪ ✳ ✖ ✜ ✗ ✚✛ ✣ ✢ ✘ ✙ ✚ ✕ ✛ ✗✵ ✸ ✹ ✷✵ ✗ ✼ ✛ ✻ ✚ ✘ ✸ ✵ ✗ ✛ ✢ ✖ ✜ ✥ ✔ ❀ ✩ ✪ ❀ ✇ ✡ ✣ ❋❵ ✖ ✗ ✚ ✕ ✛ ✼ ✛ ✻ ✚ ✘ ✸ ✛ ✖ ✚ ✕ ✮ ✚ ✕ ✻ ✘ ✶ ✹ ✘ ✜ ✛ ✜ ✚ ❊ ❋❵ ✚ ❀ ✫ ✤ ✢ ✖ ✣ ✽ ✥ ✣ ✪ ✳ ✻ ✙ ❀ ✌ ✍✎✏ ✎✑ ✍✒ ❀ ✦ ✽ ✔✕ ✖ ✯✠✰ ✱ ✗ ✖✲ ★ ✖ ✞✕ ✝ ✏ ♥ ❚ ◗ ② ❚ ▲ ❖② ◗ ✖ ✫ ✇ ☞ ❪ ✐ ❜ ✌ ✈ ✗ ✫ ✇ ☞ ❢ ✐ ➑ ✌ ◆ ♣ ❙ ❖ ◆ ➎ ◗ ◆ ❙ ❚ ◗ ② ▲ ▼  ❖ ❙ ❖ ▲ ▼◆ ▲ ♦ ❨ ➑ ✉ ❪ ❬ ❞ ✙ ❖ ◆ ▼ ▲ ▼◆ ❖ ▼ s t ❲ ♣ ❘ ♣ ▼  ✆ ✔ ✫ ✕ ✚ ✇ ✎ ❢ ❤ ❢ ❢ ❥ ✑ ❋❵ ✎ ❢ ❪ ✑ ✇ ✎ ❪ ❢ ✑ ❡ ✆ ❧ ♥ ❚ ❖ ◆ ② ▲ ❘ ❘ ◗ ◆ ❯▲ ▼  ◆ ❙▲ ✆ ✫ ✇   ❥ ❪ ❢ ❥ ✄ ⑧ ✉ ♥ ❚ ◗ ❲ ♣◆ ❙ ❙ q ▲ ② ▲ ❳ ❯▲ ▼ ◗ ▼ ❙ ◆ ♣ ❘ ◗ ◆ ❲ ♣ ② ✕◆ ✈ ◆ ▲ ✆ ✫ ② ▲ ❘ ❘ ◗ ◆ ❯▲ ▼  ◆ ❙▲ ❙ ❚ ◗ ❯▲ ❖ ▼ ❙ ❨ ❥ ✐ ❪ ❬ ❖ ▼ r ❖s t ❘ ◗ ➑ ✉ ❪ ✉ ✠ ▲ q ✈ q ◗ ◆ ❙ ♣ ❘ ❙ ❙ ❚ ◗ ❖ ❙ ◗ ❘ ♣ ❙ ❖ ▲ ▼ ❞   ✇ ✎ ❪ ❥ ✑ ❤ ✎ ❢ ✏ ❪ ❤ ❪ ✏ ❜ ❥ ❢ ✑ ✎ ❢ ❢ ❤ ❢ ❥ ✑ ❋❵ ✎ ❜ ❥ ✑ ✇ ✎ ❪ ❥ ✑ ❤ ✎ ❤ ❪ ❜ ✑ ✇ ✎ ➑ ❤ ❜ ✑ ❧ ✙ ✇ ❪ ✈ ♣ ▼  ✟ ✇ ✎ ❢ ❤ ❢ ❢ ❥ ✑ ❋❵ ✎ ❥ ❢ ✑ ✇ ✎ ❢❢ ✑ ✐ ✁❵ ✇ ❪ ❢ ✇ ❪ ✐ ✁ ❝ ✇ ❢❢ ✇ ❢ ✐ ✆ ✇ ❢ ❧ ☎ ◗ ◆ ◗ ◗ ❙ ❚ ♣ ❙✝ ✇ ❪ ✈ ✖ ❵ ✇ ☞ ❪ ✐ ➑ ✌ ✈ ✗ ❵ ✇ ☞ ❢ ✐ ❜ ✌ ♣ ▼  ✭ ✇ ✎ ❪ ❢ ✑ ❤ ❢ ✎ ✎ ❢❢ ✑ ✇ ✎ ❢ ❥ ✑ ✐ ✆ ✔❵ ✕ ✚ ✇ ✎ ❢❢ ✑ ❧ ✠ ▲ q ♦ ▲ ❘ ❙ ❚ ◗ ▼ ◗ ➍ ❙ ❖ ❙ ◗ ❘ ♣ ❙ ❖ ▲ ▼ ❞   ✇ ✎ ❪ ❥ ✑ ❤ ✎ ❢ ✏ ❪ ❤ ❪ ✏ ❜ ❤ ❢ ❥ ✑ ✎ ❢ ❢ ❥ ❢ ✑ ❋❵ ✎ ❜ ❥ ✑ ✇ ✎ ❢ ✏ ❪ ❜ ✑ ❧ ✄▲ ❙ ❚ ② ▲ ❳ ❯▲ ▼ ◗ ▼ ❙ ◆ ▲ ♦   ♣ ❘ ◗ ❯▲ ◆ ❖ ❙ ❖ ④ ◗ ✈ ◆ ▲ ❙ ❚ ♣ ❙ ✆ ❵ ✇   ❥ ❢ ❥ ❢ ✄ ⑧ ❖ ◆ ▲ ❯ ❙ ❖ ❳ ♣ ❲ ✉ ♥ ❚ ❖ ◆ ② ▲ ❘ ❘ ◗ ◆ ❯▲ ▼  ◆ ❙▲ ❙ ❚ ◗ ❯▲ ❖ ▼ ❙ ❨ ❥ ✐ ❢ ❬ ❖ ▼ ❖ ▼ r ❖s t ❘ ◗ ➑ ✉ ❪ ✉ ❆❇ ❈❉ ❊ ❋● ✓ ■ ✍ ■ r ▲ ❘ ❙ ❚ ◗ ❯ ❘ ▲ ❱❲ ◗ ❳ ▲ ♦ ❙ ❚ ◗ ❯ ❘ ◗ ④ ❖ ▲ t◆ ◗ ➍ ♣ ❳ ❯❲ ◗ q ◗ ② ❚ ♣ ▼ s ◗ ❙ ❚ ◗ ▲ ❱✡ ◗ ② ❙ ❖ ④ ◗ ④ ◗ ② ❙▲ ❘ ❙▲ ⑤ ✇   ❢ ❪ ❥ ❥ ✄ ⑧ ✉ ♥ ❚ ◗ ▼ ❙ ❚ ◗ ❲ ♣◆ ❙ ◗ ➍ ❯ ❘ ◗ ◆ ◆ ❖ ▲ ▼ ♦ ▲ ❘   ❖ ◆ ② ❚ ♣ ▼ s ◗  ❙▲   ✇ ✎ ❢ ❥ ✑ ❤ ✎ ❢ ✏ ❪ ❤ ❪ ✏ ❜ ❤ ❢ ❥ ✑ ✎ ❢ ❢ ❥ ❢ ✑ ❋❵ ✎ ❪ ❥ ✑ ✇ ✎ ❥ ❜ ✑ ❧ ☎ ◗ ◆ ❙ ❖❲ ❲ ❚ ♣ ④ ◗   ❡ ✆ ◆ ▲ ❙ ❚ ♣ ❙ ✆❵ ❖ ◆ ▲ ❯ ❙ ❖ ❳ ♣ ❲ ✉ ✆ ▲ q ◗ ④ ◗ ❘ ✈ ❙ ❚ ◗ ♦ ♣ ② ❙ ❙ ❚ ♣ ❙ ✂ ❵ ✇ ❥ ◆ ❚ ▲ q ◆ ❙ ❚ ♣ ❙ ❖ ♦ q ◗ ❳ ▲ ④ ◗ ❖ ▼ ❙ ❚ ◗  ❖ ❘ ◗ ② ❙ ❖ ▲ ▼ s ❖ ④ ◗ ▼ ❱③ ✙ ✇ ❢ ✈ ✟ ✇ ✎ ❢ ❥ ❢ ❢ ✑ ❋❵ ✎ ❢ ✏ ❪ ❤ ❪ ✏ ❜ ✑ ✇ ✎ ❢ ✏ ❪ ❤ ✂ ✏   ✑ ✐ ✕ ❆ ✗ ❆ ✧ ✵ ✩✵ ✥ ✵ ✱ ✣ ✭ ✞ ✾ ✥ ❙ ❚ ◗ ▼ ❙ ❚ ◗ ▲ ❱✡ ◗ ② ❙ ❖ ④ ◗ ④ ♣ ❲ t ◗ ❖ ◆ t ▼ ② ❚ ♣ ▼ s ◗  ✉ ♥ ❚ ❖ ◆ ❖ ◆ ❖ ▼ ♣ s ❘ ◗ ◗ ❳ ◗ ▼ ❙ q ❖ ❙ ❚ ✎ ➍ ♣ ❳ ❯❲ ◗ ❢ ✉ ❪ ❞ ➌ ❙ ② ▲ ❘ ❘ ◗ ◆ ❯▲ ▼  ◆ ❙▲ ✆ ✇   ✟ ❢ ❤ ✄ ❝ ❥ ❢ ❛ ✷ ✄☎ ✄ ⑧ ✐ q ❚ ❖② ❚ ❖ ◆ ♦ ◗ ♣◆ ❖ ❱❲ ◗ ♦ ▲ ❘ ❥ ✒ ✟ ✒ ❪ ✈ ♣ ▼  ❙ ❚ ◗ ➎ ❘◆ ❙ ❙ q ▲ ◗ ❲ ◗ ❳ ◗ ▼ ❙ ◆ s ❖ ④ ◗ ❙ ❚ ◗ ❲ ❖ ▼ ◗ ◆ ◗ s ❳ ◗ ▼ ❙ ❱ ◗ ❙ q ◗ ◗ ▼ ❙ ❚ ◗ ❯▲ ❖ ▼ ❙ ◆ ❨ ❥ ✐ ❢ ❬ ♣ ▼  ❨ ❪ ✐ ❥ ❬ ❖ ▼ r ❖s t ❘ ◗ ➑ ✉ ❪ ✉ ✓ ❘ ▲ ❱❲ ◗ ❳ ❨✭ ❬ ♦ ❘ ▲ ❳ ✎ ➍ ♣ ❳ ❯❲ ◗ ❢ ✉ ❪ ❖ ◆ ▲ ❱ ❙ ♣ ❖ ▼ ◗  ❱③ ② ❚ ♣ ▼ s ❖ ▼ s ⑤ ❙▲ ❤ ⑤ ◆ ▲ ❙ ❚ ♣ ❙ ❙ ❚ ◗ ➎ ❘◆ ❙   ❖ ▼ ✎ ➍ ♣ ❳ ❯❲ ◗ ➑ ✉ ❢ ❖ ◆ ② ❚ ♣ ▼ s ◗  ❙▲   ✇   ❤ ➑ ❜ ✄ ⑧ ✉ ✠ ▲ q ✈ ✙ ✇ ❢ ✈ ♣ ▼  ✟ ✇ ✎ ❢ ❤ ❢ ❢ ❥ ✑ ❋❵ ✎ ❢ ✏ ❪ ❤ ❪ ✏ ❜ ✑ ✇ ✎ ❤ ❪ ✏ ❜ ❤ ✂ ✏   ✑ ❧ ♥ ❚ t◆ ✈ ✟ ✕ ✆ ✈ ❖ ▼  ❖② ♣ ❙ ❖ ▼ s ❨ ♣◆ ❖ ❙ ◆ ❚ ▲ t ❲  ❬ ❙ ❚ ♣ ❙ ❙ ❚ ◗ ❯ ❘ ▲ ❱❲ ◗ ❳ ❖ ◆ t ▼ ❱▲ t ▼ ◗  ✉ ✮ ✠ ✠ ✑ ✰ ✟ ✶ ☞ ✞ ✪ ☞ ✩ ☎ ✾ ✡ ✁ ✓ ✸ ✎ ✡ ✟ ✭ ✟✍ ✮ ✎ ☞ ✟✍ ✪ ☞ ✎☛ ✡ ✠ ☞ ✟ ✵✷✲ ✝ ✞✟ ✡ ✘ ✓ ✥ ✎ ✡ ✟ ✪ ✓ ✞ ✠ ☞ ✟ ✵ ✶ ✪ ✡ ✒ ☞ ✞✟ ☛ ✸ ✤ ✟ ✓ ☞ ✎✭ ✟ ✒✟ ✓ ✍ ✟ ✪ ✠ ✟✠ ✲ ✝ ✞ ✎ ✠ ✎✰ ✵ ✫ ✎✟✠ ☞ ✞ ✪ ☞ ✌ ✟ ✓ ✪ ✡ ✡☛ ☞ ✍ ✟ ☞✑ ✍ ✡ ☞ ☛ ✪ ✭ ✟✍ ☞ ✟✷ ✪ ✫ ✍ ✟ ✪ ✒✮ ☞ ✍ ✎✟ ✒ ✶ ✪ ✡ ✒ ✠ ✎ ✡ ✓✟ ☞ ✞✟ ✡ ✑ ✰ ✸ ✟✍ ☛ ✏ ✭ ✟✍ ☞ ✎ ✓✟✠ ✎ ✠ ☛ ✡ ✎ ☞ ✟ ✶ ☞ ✞✟ ✹ ✎✰ ✵ ✫✟✷ ✪ ✫ ✺☛ ✍ ✎ ☞ ✞✰ ✞ ✪ ✠ ☛ ✡ ✎ ☞ ✟ ☞ ✟✍ ✰ ✎ ✡ ✪ ☞ ✎☛ ✡✷✲ ❆❇ ● ✕✖ ✗✘ ● ✓ ■ ✌ ■ ♥ ❚ ◗ ❳ ♣ ❙ ❘ ❖ ➍ ✙ ✇ ✍ ✚ ✆ ❚ ♣◆ ♦ t ❲ ❲ ❘ ♣ ▼ ✕ ✉ ➐ ❚ ▲ q ✈ ❙ ❚ ♣ ❙ ♣ ❲ ◆ ▲ ✍ ✚ ✆✝ ✼ ▲ ❱ ❙ ♣ ❖ ▼ ◗  ❱③ ◆ q ♣ ❯ ❯ ❖ ▼ s ✖ ❨ ✝ ❬ ♣ ▼  ✗ ❨ ✙ ❬ ❚ ♣◆ ♦ t ❲ ❲ ❘ ♣ ▼ ✕ ✉ ✆ ❖ ▼ ❙ ❞ ✎ ➍ ❯❲ ▲ ❖ ❙ ✈ ❙ ❚ ♣ ❙✝ ❖ ◆ ② ❚ ▲ ◆ ◗ ▼ ◆ ▲ ❙ ❚ ♣ ❙ ❙ ❚ ◗ ✝ ❙ ❚ ② ▲ ❳ ❯▲ ▼ ◗ ▼ ❙ ❖ ▼ ✟ ✇ ✙ ❋❵ ✥ ✍ ★ ✠ ❖ ◆ ▼ ▲ ▼ ➏ ◗ ❘ ▲ ✉ ✝ ✞✟ ✓☛ ✰ ✵ ✑ ☞ ✪ ☞ ✎☛ ✡ ✪ ✫ ✌ ☛ ✍ ✱ ✎ ✠ ✒☛ ✰ ✎ ✡ ✪ ☞ ✟ ✒ ✸ ✮ ☞ ✞✟ ✠ ☛ ✫ ✑ ☞ ✎☛ ✡ ☛ ✏ ☞ ✞✟ ☞ ✌ ☛ ✠ ✮ ✠ ✓ ☞ ✟ ✰ ✠ ❤ ✵ ✜ ✞ ✎ ✁ ✪ ✡ ✒ ❤ ❂ ✞ ✂ ❲❩❨ ✑ ✎ ✡ ✟ ✪ ✓ ✞ ✎ ☞ ✟✍ ✪ ☞ ✎☛ ✡ ✠ ☞ ✟ ✵✷✲ ✝ ✞ ✎ ✠ ✎ ✠ ✒ ✎ ✠ ✓ ✑ ✠ ✠ ✟ ✒ ✎ ✡ ✹ ✟ ✓ ☞ ✎☛ ✡ ✜✲ ✢ ✲ ✿ ✟ ✏ ☛ ✍ ✟ ☞ ✞ ✪ ☞ ✶ ✞☛ ✌ ✓ ✟ ✭ ✟✍ ✶ ✌ ✟ ✫☛ ☛ ✱✪ ☞ ☞ ✞✟ ✠ ✟ ✫✟ ✓ ☞ ✎☛ ✡ ☛ ✏ ✎ ✡ ✓☛ ✰ ✎ ✡ ✺ ✪ ✡ ✒ ☛ ✑ ☞ ✺☛ ✎ ✡ ✺ ✸ ✪ ✠ ✎ ✠ ✭ ✪ ✍ ✎ ✪ ✸ ✫✟✠ ✪ ✡ ✒ ☞ ✞✟ ✓ ✞☛ ✎ ✓✟ ☛ ✏ ✠ ☞ ✪ ✍ ☞ ✎ ✡ ✺ ✵ ☛ ✎ ✡ ☞ ✲ ✗ ✌ ☞✍✌ ✝ ✝ ✣ ✝ ✛✝ ✓ ✗ ✑✞ ✮ ✭ ✟✍ ☞ ✟✷ ✎ ✠ ✠ ✪ ✎ ✒ ☞ ☛ ✸ ✟ ✦ ✵ ✩✵ ✥ ✵ ✱ ✣ ✚✵ ✎ ✏ ☛ ✡✟ ☛ ✍ ✰ ☛ ✍ ✟ ✓☛ ✰ ✵ ☛ ✡✟ ✡ ☞ ✠ ✎ ✡ ✩ ☎ ✾ ✡ ✁ ✎ ✠ ✳ ✟✍ ☛ ✲ ✝ ✞ ✎ ✠ ✞ ✪ ✵ ✵ ✟ ✡ ✠ ✎ ✏ ✰ ☛ ✍ ✟ ☞ ✞ ✪ ✡ ✒ ✒ ✖ ✞ ✮ ✵ ✟✍ ✵ ✫ ✪ ✡✟✠ ✰ ✟ ✟ ☞ ✪ ☞ ☞ ✞✟ ✭ ✟✍ ☞ ✟✷ ✶ ✪ ✠ ✎ ✫ ✫ ✑ ✠ ☞ ✍ ✪ ☞ ✟ ✒ ✸ ✟ ✫☛ ✌✷✲ ✛ ✾ ✍ ✡ ✞ ✖✎ ✠ ✝ ✎ ✧✝ ✠ ✡ ✞ ★ ✖ ✞✕ ✝ ✏✩ ❙ ✎ ✩ ❈ ❂ ❥ ✏ ✞ ✏ ✢ ❙ ✵ ✎ ❅ ❈ ❂✚✙ ✏ ❈ ❈ ❈ ❂ ✑ ✞ ✎ ✢ ✎ ✩ ❈ ❂ ❥ ✏ ❋ ✎ ❈ ❈ ❂ ✑ ✏ ✞ ✂ ✶ ☛ ✎ ✛ ✲ ✓ ✏ ✂ ✟ ✠ ✑ ✸ ☞ ✍ ✪ ✓ ☞ ❙ ✩ ✞ ✏ ✶ ❙ ✵ ❅ ❈ ❈ ✞ ✎ ✪ ✡ ✒ ✡✟ ✺ ✫✟ ✓ ☞ ☞ ✞✟ ✬ ✑ ✪ ✒ ✍ ✪ ☞ ✎ ✓ ☞ ✟✍ ✰ ❂ ❥ ❋ ❂ ✑ ✎ ✡ ☞ ✞✟ ✫ ✪ ✠ ☞ ✟ ✬ ✑ ✪ ☞ ✎☛ ✡✷✲ ✝ ✞ ✎ ✠ ✒✟ ☛ ✡✟✠ ☞ ✞✟ ❀✟ ✌ ☞ ☛ ✡ ✠ ☞ ✟ ✵ ❂ ✞ ✎ ❂ ❥ ✢ ❂ ✙ ✢ ❂ ✑ ✏ ❁ ❙ ❂ ❥ ✞ ✸ ✢ ❙ ✵ ❂ ✙ ❈ ❂ ✑ ✞ ✸ ✢   ❂ ❥ ❈ ❱ ❂ ✑ ✞ ✂ ✶ ✒ ✩❋ ❈ ☛ ✎ ✛ ✲ ✛ ✏ ✝ ✞ ✎ ✠ ✫ ✎ ✡✟ ✪ ✍ ✠ ✮ ✠ ☞ ✟ ✰ ✶ ✓ ✒ ❈ ✖ ✟ ✬ ✑ ✪ ☞ ✎☛ ✡ ✠ ✌ ✎ ☞ ✞ ✓ ✒ ❈ ✖ ✑ ✡ ✱ ✡☛ ✌ ✡ ✠ ✶ ✎ ✠ ✒ ✎ ✠ ✓ ✑ ✠ ✠ ✟ ✒ ✎ ✡ ✹ ✟ ✓ ☞ ✎☛ ✡ ✛ ✲ ✢ ✲ ✴✟✍ ✟ ✶ ✌ ✟ ☛ ✡ ✫✮ ✰ ✟ ✡ ☞ ✎☛ ✡ ☞ ✞ ✪ ☞ ☞ ✞✟ ✠ ✮ ✠ ☞ ✟ ✰ ✎ ✠ ✡☛ ✡ ✠ ✎ ✡ ✺ ✑ ✫ ✪ ✍ ✶ ✠ ☛ ☞ ✞ ✪ ☞ ❂ ✎ ✠ ✑ ✡ ✎✬ ✑ ✟ ✲ ✝ ✞✟ ❀✟ ✌ ☞ ☛ ✡ ✠ ☞ ✟ ✵ ✎ ✠ ✠ ✪ ✎ ✒ ☞ ☛ ✸ ✟ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✛ ✡ ✎ ✏ ✩ ❈ ❂ ❥ ✓ ✸ ✪ ✡ ✒ ❈ ❈ ❂ ✑ ✓ ✸ ✲ ❖ ✡ ☛ ✍ ✒✟✍ ☞ ☛ ✓ ✫ ✪ ✍ ✎ ✏ ✮ ☞ ✞ ✎ ✠ ✵ ✍ ☛ ✸ ✫✟ ✰ ✪ ✡ ✒ ✪ ✫ ✠ ☛ ☞ ☛ ✺✟ ☞ ✪ ✺☛ ☛ ✒ ✰ ✟ ✪ ✠ ✑ ✍ ✟ ☛ ✏ ✶ ✞☛ ✌ ✓ ✫☛ ✠ ✟ ✩✪ ✡ ✒ ✎ ❅ ✢ ❈ ✏ ✪ ✍ ✟ ☞ ☛ ☞ ✞✟ ✓✟ ✡ ☞ ✍ ✪ ✫ ✵ ✪ ☞ ✞ ✠ ☛ ✏ ✎r ✏ ✪ ✡ ✒ ✎✡ ✏ ✶ ✌ ✟ ✎ ✡ ☞ ✍ ☛ ✒ ✑ ✓✟ ✪ ✶ ✭ ✣ ✮ ✛ ✥ ✩ ☛ ✏ ☞ ✞✟ ✭ ✪ ✍ ✎ ✪ ✸ ✫✟✠ ✶ ✩ ✞ ❃ ✂ ✁✂ ✢ ❈ ✞ ❃ ✂ ✁ ❀ ✛ ✂ ✢ ❂ ❥ ✞ ❃ ✂ ✁ ✄ ❥✢ ❂ ✑ ✞ ❃ ✂ ✁ ❀ ✛ ✄ ✑ ✢ ❂✚✙ ✞ ❃ ✂ ✄ ✙ ✢ ✎ ✛ ✲ ✜ ✪ ✏ ✌ ✞✟✍ ✟ ✂ ✞ ☎ ✼ ✂ ✩❋ ❈ ✢ ✁ ✞ ✒ ✎ ✪ ✺ ✎ ◗ ✩❋ ❈ ❀ ✛ ✏ ☛ ✎ ✛ ✲ ✜ ✸ ✏ ✝ ✞✟ ✠ ✮ ✠ ☞ ✟ ✰ ✎ ✛ ✲ ✓ ✏ ✓ ✞ ✪ ✡ ✺✟✠ ☞ ☛ ❙ ✁ ✄ ❥ ✞ ✸ ✎ ❙ ✁ ✏ ✵ ✄ ✙ ❈ ✄ ✑ ✞ ✸ ✄ ❥ ❈ ✄ ✑ ✞ ✂ ❀ ✛ ✒ ✂ ☛ ✎ ✛ ✲ ✢ ✏ ❖ ✏ ✎ ✩ ✢ ❅ ✢ ❈ ✏ ✞ ✎ ✩ ✎ ✂ ✏ ✢ ❅ ✎ ✂ ✏ ✢ ❈ ✎ ✂ ✏ ✏ ✶ ☞ ✞✟ ✡ ✩❋ ❈ ✞ ✂ ✶ ✶ ✠ ☛ ☞ ✞ ✪ ☞ ✂ ✞ ✶ ✪ ✡ ✒ ✂ ❀ ✛ ✒ ✂ ✞ ✸ ✶ ✎✰ ✵ ✫✮ ✎ ✡ ✺ ✄ ❥ ✞ ✄ ✙ ✞ ✄ ✑ ✞ ✸ ✲ ✵ ☞ ✞✟✍ ✌ ✎ ✠ ✟ ✶ ✄ ❥ ✪ ✡ ✒ ✄ ✑ ✪ ✍ ✟ ✡☛ ✡✳ ✟✍ ☛ ✶ ✪ ✡ ✒ ☞ ✞✟ ☛ ✍ ✠ ☞ ☞ ✌ ☛ ✟ ✬ ✑ ✪ ☞ ✎☛ ✡ ✠ ✎ ✡ ✎ ✛ ✲ ✢ ✏▲✠ ✞☛ ✌ ☞ ✞ ✪ ☞ ✄ ❥ ✴ ✞ ✎ ❙ ✁ ✏ ✪ ✡ ✒ ✄ ✑ ✴ ✠ ✎ ❙ ✁ ✏ ✲ ❘ ✍ ☛ ✰ ☞ ✞✟ ✒ ✎ ✠ ✓ ✑ ✠ ✠ ✎☛ ✡ ✎ ✡ ✹ ✟ ✓ ☞ ✎☛ ✡ ✓ ✲ ✢ ✌ ✟ ✠ ✟ ✟ ☞ ✞ ✪ ☞ ✄ ❥ ✪ ✡ ✒ ✄ ✑ ✪ ✍ ✟ ☛ ✍ ☞ ✞☛ ✺☛ ✡ ✪ ✫ ✶ ✪ ✡ ✒ ✏ ✍ ☛ ✰ ☞ ✞✟ ✫ ✪ ✠ ☞ ✟ ✬ ✑ ✪ ☞ ✎☛ ✡ ✎ ✡ ✎ ✛ ✲ ✢ ✏ ✎ ☞ ✡☛ ✌ ✏ ☛ ✫ ✫☛ ✌ ✠ ☞ ✞ ✪ ☞ ✛ ✡ ☞ ☛ ✚ ✸ ✖ ✻ ✚ ✷✾ ✙ ✛ ✣ ✗ ✖ ✴ ✷ ✛ ✓ ✛ ✘ ✵ ✷ ✢ ✴ ✛ ✶ ✘ ✸ ✛ ✣ ✹ ✹ ✸ ✘ ✹ ✸ ✖ ✣ ✚✛ ❀ ❇ ❆ ✖ ❆ ❘ ✵ ✔ ✚ ✤✥ ❁ ✚✵ ✱ ✣ ✚ ✛✤✥ ❆ ❁ ✛❙ ▼ ✄ ❥ ▼ ❂❂ ❈ ▼ ✄ ✑ ▼ ❂❂ ✞ ▼ ✂ ❀ ✛ ✒ ✂ ▼ ❂❂ ☛ ✎ ✛ ✲ ✦ ✏ ✝ ✞ ✎ ✠ ✰ ☛ ☞ ✎✭ ✪ ☞ ✟✠ ☞ ✞✟ ✏ ☛ ✫ ✫☛ ✌ ✎ ✡ ✺ ✰ ✟ ✪ ✠ ✑ ✍ ✟ ✏ ☛ ✍ ☞ ✞✟ ✵ ✍ ☛ ✷ ✎✰ ✎ ☞✮ ☛ ✏ ✎ ✩ ✢ ❅ ✢ ❈ ✏ ☞ ☛ ✎ ✩ ✎ ✂ ✏ ✢ ❅ ✎ ✂ ✏ ✢ ❈ ✎ ✂ ✏ ✏ ✶ ❂ ✡ ✢ ✎ ✩ ✢ ❈✆ ✂ ✏✣ ✼ ✓ ▼ ✂ ❀ ✛ ✒ ✂ ▼ ❂ ✞ ✼ ✓ ▼ ☎ ✂ ✩ ❋ ❈ ✒ ☎ ✩❋ ❈ ✂ ▼ ❂ ☛ ✎ ✛ ✲ ✾ ✏ ✂ ✎ ☞ ✞☛ ✑ ☞ ✏ ✑ ✍ ☞ ✞✟✍ ✪ ✒☛ ✌ ✟ ✡☛ ✌ ✠ ✑ ✰ ✰ ✪ ✍ ✎✳ ✟ ✪ ✡ ✑ ✰ ✸ ✟✍ ☛ ✏ ✵ ✍ ☛ ✵ ✟✍ ☞ ✎✟✠ ☛ ✏ ☞ ✞✟ ❀✟ ✌ ☞ ☛ ✡ ✠ ☞ ✟ ✵✷✲ ✜ ✢ ☛ ✒ ☞ ☛✡ ✒✍✌ ☞✍✌ ✝ ✞✟ ❀✟ ✌ ☞ ☛ ✡ ✠ ☞ ✟ ✵ ✠ ✪ ☞ ✎ ✠ ☛✟✠ ✼ ✤ ✝ ✞✟ ✭ ✟ ✓ ☞ ☛ ✍ ✠ ❂ ❥ ✪ ✡ ✒ ❂ ✑ ✪ ✍ ✟ ☛ ✍ ☞ ✞☛ ✺☛ ✡ ✪ ✫ ✶ ❂ ✵ ❥ ❂ ✑ ✞ ✥ ✶ ✪ ✡ ✒ ✪ ✫ ✠ ☛ ✄ ✵ ❥ ✄ ✑ ✞ ✥ ✲ ✓ ✤ ✝ ✞✟ ✠ ☞ ✟ ✵ ✎ ✠ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✎ ✏ ✪ ✡ ✒ ☛ ✡ ✫✮ ✎ ✏ ✂ ✶ ❈ ❂ ❥ ❋ ❂ ✑ ✓ ✸ ✲ ✛ ✤ ✎ ✩ ❈ ❂ ❥ ✏ ✵ ✎ ❈ ❈ ❂ ✑ ✏ ✞ ✒ ✂ ✲ ✜ ✤ ✻ ✟ ☞ ✢ ✣ ✢ ✎ ✩ ✢ ❈✆ ✂ ✏ ✲ ✝ ✞✟ ✡ ▼ ❂ ❥ ❋ ❂ ✑ ▼❖ ❄ ✂ ✢ ❂ ✪ ✡ ✒ ▼ ❂ ❥ ❋ ❂ ✑ ▼ ❂ ❄ ❃ ✓ ✂ ✢ ❂ ☛ ✢ ✤ ❖ ✏ ✢ ✣ ✢ ✎ ✩ ✢ ❈✆ ✂ ✏ ❃ ✼ ✶ ☞ ✞✟ ✡ ☞ ✞✟ ✠ ☞ ✟ ✵ ✎ ✠ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✶ ✪ ✡ ✒ ✢ ✎ ✩ ❈ ❂ ❥ ✢ ❈ ❈ ❂ ✑ ✆ ✂ ✏ ❄ ✢ ❂ ◗ ✓ ✎ ✼ ✒ ✢ ✥ ✏ ☛ ✑ ☞✒ ✒ ✓✔ ✹ ✟ ✟ ✮ ✵ ✵ ✟ ✡ ✒ ✎ ✷ ✮✳✲ ✛ ✲ ✿ ✮ ✓☛ ✰ ✵ ✪ ✍ ✎ ✡ ✺ ✎ ✓ ✲ ✛ ✦ ✏ ✪ ✡ ✒ ✵ ☛ ✎ ✡ ☞ ✛ ✤ ✎ ✡ ☞ ✞✟ ☞ ✞✟ ☛ ✍ ✟ ✰ ✌ ✟ ✠ ✟ ✟ ☞ ✞ ✪ ☞ ✪ ✏ ☞ ✟✍ ✪ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✠ ☞ ✟ ✵ ☞ ✞✟ ✒ ✑ ✪ ✫ ✎ ☞✮ ✺ ✪ ✵ ♥ ✎ ✩ ❈ ❂ ❥ ✢ ❅ ❈ ❂✚✙ ✏ ✎ ✠ ✟ ✬ ✑ ✪ ✫ ☞ ☛ ♥ ✎ ✩ ✎ ✂ ✏ ✢ ❅ ✎ ✂ ✏ ✏ ✲ ❖ ☞ ✎ ✠ ✪ ✫ ✠ ☛ ✎✰ ✵ ☛ ✍ ☞ ✪ ✡ ☞ ☞ ☛ ✡☛ ☞ ✟ ☞ ✞ ✪ ☞ ❀✟ ✌ ☞ ☛ ✡ ✶ ✠ ✰ ✟ ☞ ✞☛ ✒ ✎ ✠ ✬ ✑ ✪ ✒ ✍ ✪ ☞ ✎ ✓ ✪ ✫ ✫✮ ✓☛ ✡ ✭ ✟✍ ✺✟ ✡ ☞ ✎ ✡ ☞ ✞✟ ✒☛ ✰ ✪ ✎ ✡ ✬ ✎ ✩ ✢ ❅ ✏ ✴ q ✗   ✿ ✢ ✎ ✩ ✢ ❈✆ ✂ ✏ ❄ ✝ ❃ ✥ ☛ ✢ ✞ ✥ ☛ ❙ ✜ ✥ ✽ ✯ ☛ ✎ ✛ ✲ ❙ ✏ ✴✟✍ ✟ ✶ ✵ ☛ ✎ ✡ ☞ ✢ ✤✠ ✞☛ ✌ ✠ ☞ ✞ ✪ ☞ ✢ ✎ ✩ ❈ ❂ ❥ ✢ ❈ ❈ ❂ ✑ ✆ ✂ ✏ ❄ ✢ ❂ ✲ ✂ ✞✟ ✡ ✠ ✑ ✓ ✞ ✪ ✺☛ ☛ ✒ ✪ ✵ ✵ ✍ ☛ ✷ ✎✰ ✪ ☞ ✎☛ ✡ ✞ ✪ ✠ ✸ ✟ ✟ ✡ ✏ ☛ ✑ ✡ ✒ ✶ ✎ ☞ ✎ ✠ ☞ ✎✰ ✟ ☞ ☛ ✍ ✟ ✒ ✑ ✓✟ ☞ ✞✟ ✸ ✪ ✍ ✍ ✎✟✍ ✵ ✪ ✍ ✪ ✰ ✟ ☞ ✟✍ ✎ ✡ ✮ ✫ ✺☛ ✍ ✎ ☞ ✞✰ ❁ ✙✠ ✶ ✵✷✲ ✛ ✦ ✲ ✝ ☛ ✠ ✟ ✟ ✶ ✞☛ ✌ ✰ ✑ ✓ ✞ ✂ ✓ ✪ ✡ ✸ ✟ ✍ ✟ ✒ ✑ ✓✟ ✒ ✶ ✌ ✟ ✡✟ ✟ ✒ ❂ ✡ ✔✕ ✛ ✙ ✣ ✻ ✚ ✘ ✸ ❵ ❝ ✖ ✗ ✖ ✜ ✚ ✸ ✘ ✢✵ ✻ ✛ ✢ ✙ ✘ ✸ ✻ ✘ ✜ ✼ ✛ ✜ ✖ ✛ ✜✻ ✛❀  ✁ ✂✄ ✂ ✂✄ ☎ ✆✝ ✞✟ ✞✠ ✝ ✡☞☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✌ ✼ ✲ ✍ ✡ ✞✎ ✝ ✏✑ ✒ ✞✠ ✝ ✡ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✾ ✓ ✲ ✔✕ ✖✝ ✎ ✖ ✞✠ ✒ ✟✗ ✘ ✟ ✒✙ ✚ ✎ ✝ ✑ ✡ ✏ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✼✛ ✓ ✲ ✼ ✲ ❘ ☛ ✍ ✰ ✑ ✫ ✪ ☞ ✎☛ ✡ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✼✛ ✓ ✲ ✓ ✲ ✯ ✑ ✪ ✫ ✎ ☞✮ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✼ ✾ ✓ ✲ ✛ ✲  ☛ ✰ ✵ ✫✟ ✰ ✟ ✡ ☞ ✪ ✍ ✎ ☞✮ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✓ ✼ ✓ ✲ ✜✲ ❘ ✑ ✡ ✒ ✪ ✰ ✟ ✡ ☞ ✪ ✫ ✝ ✞✟ ☛ ✍ ✟ ✰ ✠ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✓ ✜ ✓ ✲ ✢ ✲ ✣ ✍ ☛ ✤ ✟ ✓ ☞ ✎☛ ✡ ☛ ✡ ☞ ☛ ❀ ✑ ✫ ✫ ✹ ✵ ✪ ✓✟ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✛✥ ✓ ✲ ✦ ✲ ✻ ☛ ✺ ✪ ✍ ✎ ☞ ✞✰ ✎ ✓ ✿ ✪ ✍ ✍ ✎✟✍ ❘ ✑ ✡ ✓ ☞ ✎☛ ✡ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✛ ✓ ✓ ✲ ✾✲ ✝ ✞✟  ✟ ✡ ☞ ✍ ✪ ✫ ✣ ✪ ☞ ✞ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✛ ✜ ✛ ✲ ✍ ✡ ✞ ✖✎ ✠ ✝ ✎ ✧✝ ✠ ✡ ✞ ★ ✖ ✞✕ ✝ ✏✩ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✛ ✢ ✛ ✲ ✼ ✲ ❀✟ ✌ ☞ ☛ ✡ ❖ ☞ ✟✍ ✪ ☞ ✎☛ ✡✷✲ ❖ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✛ ✦ ✛ ✲ ✓ ✲ ❘ ✑ ✫ ✫ ❀✟ ✌ ☞ ☛ ✡ ✹ ☞ ✟ ✵ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✛ ✽ ✛ ✲ ✛ ✲ ❀✟ ✌ ☞ ☛ ✡ ❖ ☞ ✟✍ ✪ ☞ ✎☛ ✡✷✲ ❖ ❖ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✜ ✓ ✛ ✲ ✜✲ ❖ ✡ ✏ ✟ ✪ ✠ ✎ ✸ ✫✟ ✣ ✍ ✟ ✒ ✎ ✓ ☞ ☛ ✍ ✪  ☛ ✍ ✍ ✟ ✓ ☞ ☛ ✍ ❚ ✟ ☞ ✞☛ ✒ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✜ ✾ ✛ ✲ ✢ ✲ ✹ ☛ ✫✭ ✎ ✡ ✺ ☞ ✞✟ ❀✟ ✌ ☞ ☛ ✡ ✫✬ ✑ ✪ ☞ ✎☛ ✡ ✠ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✢ ✓ ✛ ✲ ✦ ✲ ✭ ✪ ✍ ✰ ✪ ✍ ✱ ✪ ✍ ✠ ✮ ✫ ✺☛ ✍ ✎ ☞ ✞✰ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✦ ✥ ✜✲ ✔✕ ✖ ✯✠✰ ✱ ✗ ✖✲ ★ ✖ ✞✕ ✝ ✏ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✦ ✢ ✜✲ ✼ ✲ ✝ ✞✟ ✮ ✫ ✺☛ ✍ ✎ ☞ ✞✰ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✦ ✦ ✜✲ ✓ ✲ ✯ ✟ ✺✟ ✡✟✍ ✪ ✓✮ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✾ ✥ ✜✲ ✛ ✲ ✣ ✍ ✎ ✓ ✎ ✡ ✺ ✪ ✡ ✒ ✣ ✎✭ ☛ ☞ ✎ ✡ ✺ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✾ ✓ ✜✲ ✜✲ ❖ ✡ ✎ ☞ ✎ ✪ ✫ ✎✳ ✪ ☞ ✎☛ ✡ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✾ ✛ ✴ ✤✥ ✚✵ ✥ ✚✶ ✜ ✜✲ ✢ ✲ ✿ ✪ ✠ ✎ ✠ ❘ ✪ ✓ ☞ ☛ ✍ ✎✳ ✪ ☞ ✎☛ ✡ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✾ ✾ ✜✲ ✦ ✲ ✯ ✑ ✪ ✫ ✹ ✎✰ ✵ ✫✟✷ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ❙ ✓ ✢ ✲ ✸✝ ✡ ✞✠ ✡ ✑ ✟ ✞✠ ✝ ✡ ★ ✖ ✞✕ ✝ ✏✩☞☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ❙ ✦ ✢ ✲ ✼ ✲ ❘ ☛ ✍ ✰ ✑ ✫ ✪ ☞ ✎☛ ✡ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ❙ ✦ ✢ ✲ ✓ ✲  ☛ ✰ ✵ ✑ ☞ ✟ ❚ ✪ ✷ ✎✰ ✎✳ ✟✍ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽ ✼ ✢ ✲ ✛ ✲ ✬ ✵ ✒ ✪ ☞ ✟ ✝ ✞ ✍ ✟✠ ✞☛ ✫ ✒ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽ ✜ ✢ ✲ ✜✲ ❖✰ ✵ ✫✟ ✰ ✟ ✡ ☞ ✪ ☞ ✎☛ ✡ ✮ ✠ ✵ ✟ ✓ ☞ ✠ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽ ✦ ✢ ✲ ✢ ✲ ✮ ✴✮ ✸ ✍ ✎ ✒ ❚ ✟ ☞ ✞☛ ✒ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✼ ✥ ✼ ✹ ✱ ✱ ✖ ✡ ✏ ✠ ✲ ✹✻✺ ✯ ✖ ✗ ✖ ✒ ✞ ✖ ✏ ✧✎ ✝ ✝ ✼ ✩ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽✾ ✿ ✹ ✱ ✱ ✖ ✡ ✏ ✠ ✲ ✘ ✺ ✹ ✡ ✩ ❀ ✖✎ ✩ ✞✝ ❁ ✲ ✖✎ ✒ ✠ ✩ ✖ ✩ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽ ✽ ✌ ❂ ✖ ✼ ✖✎ ✖ ✡ ✒ ✖ ✩ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽ ✽❃ ✍ ✡ ✏ ✖✲ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ☛ ✽❄ ✾ ✜ ✽ ✍ ✡ ✞ ✖✎ ✠ ✝ ✎ ✧✝ ✠ ✡ ✞ ★ ✖ ✞✕ ✝ ✏✩ ❀☛ ✌ ✶ ✌ ✟ ✓ ✪ ✡ ✠ ✑ ✰ ✰ ✪ ✍ ✎✳ ✟ ☞ ✞✟ ✪ ✫ ✺☛ ✍ ✎ ☞ ✞✰ ✪ ✠ ✏ ☛ ✫ ✫☛ ✌ ✠ ✶ ✚ ✮ ✩ ✤✱ ✛ ✚ ✳ ✜ ❁ ✙✠ ❇ ✩ ❁ ✞ ✩ ✜ ✆ ❅ ❁ ✞ ❅ ✜ ✆ ❈ ❁ ✞ ❈ ✜ ✆ ✂ ❁ ✞ ✩ ✵ ❈ ❅ ✒ ✆ ✖ ❁ ✞ ✥ ✡☛☞ ☛✌ ✍ ✑  ✎ ✛ ✲ ✼ ✾ ✓ ✏ ✁ ✡ ✎ ✛ ✲ ✼ ✾ ✒ ✏ ✎ ✠ ✠ ✪ ☞ ✎ ✠ ☛✟ ✒ ✍ ✂☛ ✏ ✯ ✞✝ ✱ ✑  ✎ ✛ ✲ ✼ ✾ ✪ ✏ ✌ ✏ ✄ ✎ ✛ ✲ ✼ ✾ ✸ ✏ ✪ ✍ ✟ ✠ ✪ ☞ ✎ ✠ ☛✟ ✒ ✍ ✂☛ ✏ ✯ ✞✝ ✱ ✖ ❁ ✞ ✖ ❈ ✼  ☛ ✰ ✵ ✑ ☞ ✟ ❂ ✟ ✸ ✮ ✎ ✛ ✲ ✼✛ ✏ ☞ ✩ ❁ ✞ ✩ ❈ ✙ ✎ ✩ ✢ ❂ ✟ ❥ ✢ ✼ ✏ ❂ ✟ ❥ ✆ ☞ ❈ ❁ ✞ ❈ ❈ ✙ ✎ ❈ ✢ ❂ ✟ ✑ ✢ ✼ ✏ ❂ ✟ ✑ ✆  ☛ ✰ ✵ ✑ ☞ ✟ ✂ ✸ ✮ ✎ ✛ ✲ ✼ ✢ ✏  ☛ ✰ ✵ ✑ ☞ ✟ ❂ ✍ ✸ ✮ ✎ ✛ ✲ ✼ ✦ ✏ ❂ ❁ ✞ ❂ ✟ ❈ ❂ ✍ ✆ ✘ ✠ ❁ ✞ ✙ ✎ ✩ ✢ ❂ ❥ ✢ ✚ ✏ ✆ ✘ ☛ ✞ ✙ ✎ ❈ ✢ ❂ ✑ ✢ ✚ ✏ ✩ ❁ ✞ ✩ ❈ ✘ ✠ ❂ ❥ ✆ ❅ ❁ ✞ ❅ ❈ ✘ ☛ ❂✚✙ ✆ ❈ ❁ ✞ ❈ ❈ ✘ ☛ ❂ ✑ ☛ ✏ ✄ ❖ ✡ ☞ ✞✟ ✟✷ ✪ ✰ ✵ ✫✟✠ ✌ ✟ ✑ ✠ ✟ ☞ ✞✟ ✎ ☞ ✟✍ ✪ ☞ ✎☛ ✡ ✵ ✪ ✍ ✪ ✰ ✟ ☞ ✟✍ ✠ t ✛ ✞ t ❂ ✞ t ① ✞ ✼ ✥ ❀ ☎ ✶ ✖✑✏✒ ✓ ✞ ✰ ✪ ✷ ✙ ✓ ✥ ✢ ✒ ✥ ✪ ✡ ✒ ✚ ✞ ✥ ☛ ✽ ✽ ✽ ✽ ✢ ✲ ❆❇ ❈❉ ❊ ❋● ✌ ■   ■ ☎ ◗ ❚ ♣ ④ ◗ t◆ ◗  ✟❲ s ▲ ❘ ❖ ❙ ❚ ❳ ✢✡ ☛✆ ▲ ▼ ❙ ❚ ◗ ❯ ❘ ▲ ❱❲ ◗ ❳ ♦ ❘ ▲ ❳ ✎ ➍ ♣ ❳ ❯❲ ◗ ❜ ✉ ❪ ✉ ☎ ❖ ❙ ❚ ❙ ❚ ◗ ❖ ▼ ♦ ◗ ♣◆ ❖ ❱❲ ◗ ◆ ❙ ♣ ❘ ❙ ❖ ▼ s ④ ◗ ② ❙▲ ❘ ✆ ✫ ✇ ✮ ✫ ✇ ✌ ✐ ☛ ✫ ✇ ✆ ❨ ❜ ✉ ❢ ✶ ❬ q ◗ s ◗ ❙ ❙ ❚ ◗ ❘ ◗ ◆ t ❲ ❙ ◆ ◆ ❚ ▲ q ▼ ❱ ◗ ❲ ▲ q ✉ 1...

... Performance of Algorithms We have discussed four very different-looking algorithms and the literature is full of many others, only some of which are surveyed in books such as [1]. Many of the algorithms ... and give detailed descriptions of two algorithms from each category. 26.3 Transform Methods The Radon transform has an inverse, R −1 , defined as follows. For a function p of  and θ,  R −1 p  (r, ... reconstruction algorithms imposes a need to evaluate the relative per- formance of these algorithms and to understand the relationship between their attributes (free pa- rameters) and their performance....

... several tabular algorithms for Tree Adjoining Grammar parsing, creating a continuum from simple pure bottom-up algorithms to complex pre- dictive algorithms and showing what transformations must ... development of parsing algorithms for TAG. An interesting project for the future will be to translate the algorithms presented here to sev- eral proposed automata models for TAG which have an ... have also shown how to trans- form one algorithm into the next using simple transformations.Other algorithms could also has been included in the continuum, but for reasons of space we have...

... finding all for a given is . Therefore, the total cost is . For all non-empty , we create a new state and for all we set . We create a transition , and for all such that , we set . For all such ... tech- nique for creating an exact representation of -gram lan- guage models by WFAs whose size is practical for offline use even in tasks with a vocabulary size of about 500,000 words and for . Class-based ... (ii) and . , for all . Then, . The history-less state has no incoming non- paths, therefore, by recursion, . We now define transition sets (originally empty) following this procedure: for all states...

... the best path Ÿ Forwarding packets toward their destination Chapter 1 Introduction to Routing and Packet Forwarding Routing Protocols and Concepts quangkien@gmail.com 37 Path Forwarding l Path ... entire IOS for that router. Ÿ Router model Ÿ IOS features l Example IPv6 or a routing protocol such as Intermediate System– to–Intermediate System (IS-IS). 34 Path Forwarding l Packet forwarding ... determines which path to use when forwarding a packet. l To determine the best path, the router searches its routing table for a network address that matches the packet s destination IP address. l...

... sensitive to which ResolveDifference procedure is used. For push, the exact formula is log2(n) + In(n) + 0(1) for large n [Pi]. It is comforting to know that even if mail fails to spread ... Hill Road Palo Alto, California 94304 EPIDEMIC ALGORITHMS FOR REPLICATED DATABASE MAINTENANCE 9 The function i(s) is zero when This is an implicit equation for s, but the dominant ... to be more effective for both XEROX PARC, CSL-89-1,· JANUARY 1989 EPIDEMIC ALGORITHMS FOR REPLICATED DATABASE MAINTENANCE 3 0.2 Related Work The algorithms in this paper...

... be informative for many documents. The intuition for also including the maximum relatedness is that for longer docu- ments that may cover many different subtopics, the maximum may be more informative ... but still enforces some degree of coherence among the disambiguations. 3 Related Work Wikipedia was first explored as an information source for named entity disambiguation and in- formation retrieval ... Wikifica- tion. We use GLOW as a test bed for evaluating local and global approaches for D2W. GLOW combines a powerful local model φ with an novel method for choosing an accurate disambiguation...

... input candidate: for is the ’th tag in the tagged sequence. for is the ’th word. for is if begins with a lower- case letter, otherwise. for is a transformation of , where the transformation is applied ... parameters For If Then Else Output: Parameter vectors for Figure 3: The perceptron training algorithm for ranking problems. Define: . Input: A set of candidates for , A sequence of parameter vectors for Initialization: ... tagger with the highest score for . 4 Ranking Algorithms 4.1 Notation This section introduces notation for the reranking task. The framework is derived by the transforma- tion from ranking problems...

... left-corner table. 6 Some Results The performance of the parsing algorithms discussed in the preceding sections (a bottom-up parser for UG (BU), a top-down parser for UG (of Shieber, 1985) (TD), a ... wholly on the syntactic information en- coded in the syntactic rules. For CUG, this is an akward situation, as most syntactic information which could be relevant for top-down prediction is ... derivation, but a bottom-up parser has to consider 11 possible analyses for the word junge, 6 for the phrase junge Frau, 4 for die and 2 for die junge Frau. This example shows that even irk a pure categorial...

... for computing 缸 loptimum order for processing the queries. 3.12 SCHEDULING TUTORS ￥ 'ou are responsible for scheduling tutors for the day at a tutoring com- 卢町 For 二 ach day , you have received a number of r 叩臼 ts for ... of support , exciteme 时/ and joy for all my life and especially during the process of writing this boo k. ADNAN AZIZ ad 丑臼 l@a工 gorithmsforinterviews.com AMIT PRAKASH amit@algorithmsforinterviews.com Problem Solving Techniques It 's not ... to the website for details. Ver 咀 on 1. 0.0 (September I, 2010) L 叩 ebsite:http://algorithmsforinterviews.com ISBN: 1453792996 EAN-13: 9781453792995 To my father! Ishrat Aziz! for giving me my l~ 作 long love of learning AdnanAziz To my parents! Manju Shree and Arun Prakash! the most loving parents I can imagine Amit...

... is Num_Employee Num_Task or Num_Task Num_Employee Partially compensated for by improved memory ac- cess speed and diversity. 2. Genetic algorithms 2.1. The concept of genetic algorithms Genetic algorithms mimic natural evolution, ... probabilities. Figure 4. One-point crossover operator for 2D array genome (from [Wall 1996]). Figure 5. Three types of mutation operators for array genome. GENETIC ALGORITHMS FOR PROJECT MANAGEMENT 139 Chang, C.K. ... 0.75 1 1 1 1 1 1 1 0.50.50.25 1 0 Figure 14. The loading history for employees having different loading limits. GENETIC ALGORITHMS FOR PROJECT MANAGEMENT 111 Figure 1. A simplified GA example. lection...

... N. (2001). Convolution Kernels for Nat- ural Language. In Proceedings of Neural Information Pro- cessing Systems (NIPS 14). Collins, M. (2002a). Ranking Algorithms for Named–Entity Extraction: ... dual parameters For For If Then If Then Output on test sentence : Output on test sentence : . Figure 1: a) The perceptron algorithm for ranking problems. b) The algorithm in dual form. this translates ... that and . As before, some simple algebra shows that where we define . Next, for any given state define to be the state to the right of in the structure . An analogous definition holds for . Then can...

... Netherlands E-maih vdlindenOkub.nl ABSTRACT We discuss algorithms for generation within the Lambek Theorem Proving Framework. Efficient algorithms for generation in this framework take a semantics-driven ... gorithm for the Theorem Prover. The latter pos- sibility enables processing of a bidirectional cal- culus. Therefore Lambek Theorem Proving is a natural candidate for a 'uniform' ... can be used for generation. The answer to this question will emerge throughout this paper. Lexical information As in any categorial grammar, linguistic information in LTP is for the larger...

... ideal performance will consist of ARR values equal to 1 for all values of recall. A high ARR value represents a good performance for retrieval rate, and a low ANMRR value indicates a good performance ... code. Search Algorithms for Engineering Optimization84 Contents Preface VII Section 1 Image Reconstruction 1 Chapter 1 Search Algorithm for Image Recognition Based on Learning Algorithm for Multivariate ... Comparisons of ARR performance with different iterations by our proposed integrated region-based relevance feedback approach. Search Algorithms for Engineering Optimization72 For better understanding...