desikar prabandham phdf
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7/21/2019 Desikar Prabandham PhDF
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℄
This document ∗ has been prepared by
Sunder Kidambi
with the blessings of
℄
His Holiness srımad an . d . avan of srıra ngam
∗ This was typeset using skt, L ATEX, Itrans, and the iitmtam font. Our sincere thanks to Smt. VasundaraRamarajan for proofreading the entire document.
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1 ℄ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 ℄ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
4 ℄ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
6 ℄ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53
7 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61
8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63
9 ℄ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65
10 ℄ ℄ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67
11 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71
12 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
13 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 77
14 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79
15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81
16 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85
17 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89
18 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93
19 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9920 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107
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‡ ℄
⋆ ℄
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⋆ ℄ (1)
⋆
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⋆ ℄ ℄ ℄
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(3)
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⋆ (5)
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⋆ (6)
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℄
⋆ ℄ ℄ ℄
⋆
⋆
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(7)
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(9)
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⋆ (10)
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⋆
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℄ ℄ (11)
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℄
⋆ ℄
⋆
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⋆
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(12)
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(17)
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⋆ ⋆
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⋆
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⋆ ℄ (18)
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℄
℄
⋆ ℄
⋆
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⋆
℄ ℄
⋆
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⋆
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℄ (19)
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⋆ (22)
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⋆
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⋆
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⋆
⋆
⋆
(23)
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℄
℄
⋆ ℄
⋆
℄
⋆ ℄
⋆
℄
⋆ ℄
⋆
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⋆
(24)
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⋆
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⋆
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⋆ ℄ ℄ (26)
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⋆
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℄
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⋆ ℄ ℄ ℄ ℄ (28)
℄ ℄
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⋆
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(29)
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⋆ ⋆
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⋆
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⋆ ℄
⋆
℄
⋆ ℄ ℄ (30)
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℄
℄ ℄
⋆ ℄
⋆
℄
⋆
⋆
⋆
℄
(31)
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⋆
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(33)
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⋆
⋆ ⋆
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⋆
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⋆ ⋆
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℄
⋆ ⋆
℄
⋆
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⋆ ℄ ℄
⋆
℄ ℄ (36)
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℄
⋆ ℄ ℄ ℄
⋆
℄ ℄
⋆ ℄
⋆
⋆ ℄ ℄ ℄
⋆ ℄ ℄
(37)
℄
⋆ ⋆
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⋆
℄
⋆ ℄ ℄ (38)
‡ ℄
⋆ ⋆
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℄
⋆
⋆
℄
⋆ (39)
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‡ ℄
⋆
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(2)
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⋆
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℄ ℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ (3)
⋆
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℄
⋆ ⋆
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⋆
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℄ ℄ ℄
⋆ ℄
⋆
℄
⋆
(10)
℄ ℄ ℄
⋆ ℄ ℄
⋆
℄ ℄ ℄
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⋆ ⋆
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⋆ (12)
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⋆ ⋆
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⋆ ⋆
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⋆ ℄
⋆
℄ ℄
⋆ (16)
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⋆ ℄ ℄
⋆
⋆ ℄ ℄ ℄
⋆
⋆ ℄
⋆
⋆ ℄ ℄
(17)
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⋆ (18)
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⋆ (20)
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(22) ⋆ ⋆
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⋆ ℄
⋆
⋆ ⋆
⋆ ℄ ℄ (23)
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℄ ℄ ℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
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℄
⋆
(24)
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‡ ℄ ℄
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⋆ (27)
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⋆
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⋆ (28)
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(29)
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⋆ ℄ (30)
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℄ ℄ ℄ ℄
⋆ ℄ ℄
⋆
℄ ℄
⋆ ℄ ℄
⋆
℄ ℄ ℄
⋆
⋆
℄ ℄
⋆ ℄ ℄
(31)
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℄
⋆ ℄ (32)
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(36) ⋆
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⋆
℄
⋆ ⋆
⋆ ⋆
℄
⋆ ℄ (37)
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℄ ℄
⋆ ℄
⋆
℄
⋆ ℄
⋆
⋆ ⋆
⋆ ℄ ℄
(38)
℄ ℄
⋆ ℄
⋆
℄ ℄
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⋆
℄ ℄
⋆ ℄
⋆
℄ ℄ ℄
⋆ ℄ (39)
‡ ℄ ℄
⋆
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⋆ (40)
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‡ ⋆
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⋆
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⋆
℄
⋆
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℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄
(42)
‡ ℄
⋆
℄ ℄
⋆
℄ ℄
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⋆
℄ ℄
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℄
⋆
⋆
℄ (43)
‡
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⋆ (44)
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⋆
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⋆
⋆
⋆
⋆
⋆
℄ (45)
⋆
℄ ℄
⋆
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⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄
⋆
℄ ℄ (46)
⋆
℄ ℄ ℄
⋆
⋆
℄
⋆
⋆
℄ ℄ ℄ ℄
⋆ ℄ ℄ ℄
⋆
℄ ℄ (47)
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⋆
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⋆ ℄
℄ ℄ ℄ (49)
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‡ ⋆ ⋆
℄
⋆
⋆
⋆ ℄
⋆
⋆
(50)
‡ ℄
⋆
℄ ℄
⋆
℄ ℄
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⋆
℄
⋆
℄ ℄ ℄
⋆
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⋆
(51)
℄
⋆
℄ ℄
⋆
℄
⋆
℄ ℄
⋆
⋆
⋆
℄ ℄
⋆
℄ ℄ ℄ (52)
℄ ℄
⋆ ℄ ℄
⋆
℄
⋆
⋆
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℄
⋆ ⋆
⋆ ℄ (53)
⋆
⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
⋆ ℄ (54)
‡ ⋆ ⋆
℄ ℄
⋆
⋆
⋆ ℄ ℄
⋆
⋆ (55)
‡ ⋆ ⋆
℄
⋆ ℄
⋆
℄
⋆ ⋆
℄
⋆ (56)
℄
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℄
℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡ ℄
⋆ ℄ ℄
⋆
℄ ℄ ℄
⋆ ℄ ℄
⋆
℄ ℄ ℄
⋆
⋆
⋆ ℄ (1)
⋆ ℄
℄ ℄ ℄
⋆
℄ ℄
⋆
℄
⋆
⋆
℄ ℄
⋆
℄ ℄
⋆
℄ ℄ (2)
℄ ℄ ℄ ℄
⋆ ℄ ℄
⋆
℄
⋆ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆ ℄
⋆
℄ ℄ ℄ ℄ ⋆ ℄ (3)
℄
⋆
⋆
℄
⋆ ⋆
℄
⋆ ℄ ℄ ℄ ℄ ℄
⋆
℄
⋆ ℄ ℄ ℄ (4)
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℄
℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
⋆
(5)
℄
⋆
℄
⋆
⋆
℄
⋆
℄ ℄
⋆
℄
⋆
⋆
℄ (6)
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ ℄ ℄ (7)
℄ ℄
⋆
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
⋆ ℄
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℄
℄
⋆
℄ ℄ ℄ ℄ (8)
℄ ℄ ℄ ℄ ℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆ ℄
℄ ℄ (9)
⋆
℄ ℄
⋆
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄
⋆
℄ ℄
(10) ℄
⋆ ℄
⋆
℄
⋆ ℄
⋆
⋆ ⋆
⋆ (11)
⋆
℄
⋆
⋆ ℄
⋆
⋆
℄
⋆
℄
⋆
℄ ℄ (12)
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℄
℄
⋆
℄ ℄
⋆
⋆
℄
⋆
℄
⋆
℄ ℄ ℄ ℄
⋆
℄
⋆
(13)
⋆ ⋆
℄
⋆ ℄
⋆
⋆ ℄ ℄
⋆
⋆ ℄ ℄ (14)
⋆ ℄ ℄
⋆
℄
⋆ ⋆
℄ ℄
⋆
⋆
⋆ ℄ (15)
℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
(16)
℄ ℄
⋆ ⋆
℄ ℄ ℄
⋆ ℄ ℄
⋆
℄ ℄
⋆ ℄ ℄ ℄
⋆
℄ ℄
⋆ ℄
℄ (17)
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℄
℄
⋆
⋆
⋆ ℄
⋆
⋆ ℄ ℄
⋆
℄
⋆ ℄
(18)
℄ ℄
⋆
℄ ℄
⋆
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
(19)
⋆
⋆
⋆ ℄
⋆
℄
⋆ ⋆
⋆ ℄ (20)
℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆ ℄ ℄
℄ ℄ ℄ ℄
⋆
℄ (21)
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
℄
⋆ ℄ (22)
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℄
℄
⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄
(23)
℄
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
⋆ ℄ (24)
℄ ℄
⋆
℄ ℄
⋆
⋆
⋆
℄
⋆
℄
⋆
℄
⋆
℄ (25)
℄ ℄ ℄
⋆
⋆
℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ ℄ ℄
℄
⋆ (26)
‡ ℄ ℄ ℄ ℄
⋆
℄
⋆
⋆
℄
⋆
℄ ℄ ℄
⋆
⋆
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℄
⋆
℄ (27)
‡ ℄
⋆
℄ ℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄ (28)
℄ ℄ ℄ ℄ ℄
⋆ ℄ ℄
℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
(29)℄
⋆
℄
⋆
℄
⋆
⋆
⋆
℄
⋆
℄
⋆
(30)
‡ ℄ ℄ ℄ ℄
℄
℄ ℄ ℄ ℄ ℄
℄ ℄ ℄
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℄
℄ ℄ ℄ ℄
℄ ℄ ℄ ℄
℄ ℄ ℄ ℄
℄ ℄ ℄
(31)
⋆ ℄ ℄ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ⋆
℄
⋆ ℄ ℄ ℄ (32)
‡ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ (33)
℄
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄ ℄ ℄
⋆ ⋆
⋆ ℄ (34)
℄ ℄
⋆
⋆
℄
⋆
℄ ℄
⋆
℄
⋆
⋆
℄
⋆
℄ ℄ (35)
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℄
‡ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
⋆
⋆
℄ ℄
⋆
⋆
℄ ℄ (36)
‡ ℄ ℄ ℄
⋆
℄
⋆
⋆
℄ ℄ ℄
⋆
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ (37)
℄
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℄
℄ ℄
℄ ℄ ℄ ℄
℄
℄
℄ ℄ ℄
℄
℄ ℄
℄ ℄ ℄
℄ ℄ ℄
℄
‡ ⋆ ⋆ ℄ ℄
℄ ℄
⋆ ℄
⋆
⋆ ℄
⋆
⋆ ℄ ℄ (1)
℄ ℄
⋆ ℄ ℄
⋆
⋆ ℄
⋆
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℄
⋆ ⋆
⋆ ℄ ℄ (2)
℄ ℄
⋆
⋆
⋆
℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
(3)
℄
⋆ ℄
⋆
⋆ ℄
⋆
⋆ ℄ ℄
⋆
⋆ (4)
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
(5)
⋆ ℄ ℄
⋆
⋆ ℄
⋆
⋆ ⋆
⋆ (6)
℄
⋆
⋆
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℄
⋆
℄ ℄ ℄
⋆
℄
⋆
⋆
⋆
℄ (7)
⋆
⋆
℄
⋆ ℄ ℄ ℄
⋆
⋆ ℄ ℄
⋆
℄
⋆ ℄ (8)
℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄
(9) ⋆
⋆
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄ ℄ ℄
⋆ (10)
℄ ℄ ℄
⋆
⋆
℄
⋆
℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
⋆
℄ ℄
⋆
(11)
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℄
℄
⋆
⋆
⋆ ℄ ℄
⋆
⋆ ℄ ℄
⋆
⋆
(12)
℄ ℄
⋆
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄ ℄ (13)
⋆ ⋆
℄
⋆
⋆
⋆ ℄ ℄
⋆
⋆ ℄ (14)
℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
⋆
℄ (15)
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄
⋆ (16)
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℄
℄
⋆
⋆
℄ ℄ ℄ ℄
⋆
℄
⋆
⋆
⋆
⋆
(17)
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄
⋆ ⋆
⋆ ℄ (18)
℄
⋆
⋆
⋆
⋆
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ ℄ (19)
‡ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄
⋆
⋆
℄
⋆
⋆
(20)
‡ ℄ ℄
⋆
℄ ℄
⋆
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℄
⋆
⋆
℄
⋆
℄
⋆
℄
⋆
℄ ℄ ℄ (21)
℄
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℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡
⋆
⋆
⋆ ⋆
⋆ ⋆
℄ ℄
⋆ ℄ (1)
⋆
⋆
⋆
℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
⋆
℄ (2)
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⋆ ⋆
℄ ℄
⋆ ⋆
℄
⋆
⋆
⋆ ℄ ℄
(3)
℄
⋆ ℄
⋆
℄
⋆ ℄ ℄ ℄
⋆
℄
⋆
⋆
⋆ ℄ ℄ (4)
℄ ℄
⋆ ℄ ℄
⋆
⋆ ⋆
⋆ ⋆
⋆ ℄ ℄ (5)
⋆ ⋆
⋆ ℄ ℄
⋆
⋆ ℄ ℄
⋆
℄ ℄
⋆ (6)
℄
⋆
⋆
℄
⋆ ⋆
⋆ ℄
⋆
⋆ ℄ (7)
⋆ ℄ ℄
⋆
⋆ ℄ ℄
⋆
⋆
⋆
℄
⋆ ℄
(8) ⋆
℄ ℄
⋆
⋆ ℄ ℄
⋆
℄
⋆
⋆
⋆ ℄ (9)
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⋆ ℄ ℄ ℄
⋆
℄
⋆ ⋆
⋆ ℄ ℄
⋆
⋆
(10)
⋆
℄
⋆
℄
⋆
⋆
℄ ℄ ℄ ℄ ℄
⋆
⋆
℄ ℄
⋆
(11)
℄
⋆ ⋆
℄
⋆ ⋆
⋆ ℄
⋆
⋆ ℄ (12)
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
⋆
℄ (13)
℄
⋆ ℄
⋆
⋆ ⋆
℄ ℄
⋆ ℄ ℄
⋆
℄
⋆ ℄ (14)
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℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
(15)
℄
⋆ ⋆
⋆ ℄ ℄
⋆
℄ ℄
⋆ ℄
⋆
⋆ ℄ ℄ ℄ (16)
⋆
℄
⋆
⋆
℄
⋆
⋆ ℄
℄ ℄
⋆
℄
⋆
℄ ℄ (17)
℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
⋆
℄
⋆
℄
⋆
(18)
℄
⋆
℄ ℄ ℄
⋆
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℄ ℄
⋆
℄ ℄
⋆
⋆
℄
⋆
℄
⋆
℄ ℄ (19)
℄ ℄
⋆ ⋆
℄ ℄
⋆
⋆
⋆ ℄ ℄ ℄
⋆
⋆ ℄ (20)
℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄
(21)
⋆ ℄ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄
⋆ ℄
⋆
℄
⋆ ℄ (22)
℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
(23)
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℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆
⋆
℄
⋆
(24)
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄ (25)
℄ ℄
⋆ ⋆
℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
⋆ (26)
℄ ℄ ℄ ℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ (27)
⋆ ⋆
℄
⋆ ℄ ℄
⋆
℄
⋆ ⋆
⋆ (28)
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⋆
⋆
⋆
⋆
℄
⋆
⋆
⋆
℄ (29)
℄
⋆ ℄
⋆
℄
⋆ ⋆
℄
⋆ ℄
⋆
℄
⋆ (30)
℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
℄
⋆
⋆
℄
⋆
℄ ℄ (31)
⋆ ⋆
⋆ ⋆
⋆ ⋆
℄ ℄ ℄
⋆ (32)
℄
⋆
℄ ℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
⋆
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℄ ℄
⋆
(33)
℄
⋆ ℄
⋆
℄
⋆ ⋆
⋆ ℄
⋆
℄
⋆ (34)
℄
⋆
℄
⋆
℄ ℄
⋆
⋆
℄ ℄
⋆
℄
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ (35)
℄
⋆
⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
⋆ (36)
℄ ℄ ℄ ℄ ℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄
⋆
⋆
(37)
℄
⋆ ⋆
⋆ ⋆
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℄
⋆ ℄
⋆
℄
⋆ (38)
℄ ℄
⋆
⋆
℄ ℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄ (39)
℄
⋆ ℄
⋆
℄
⋆ ⋆
℄ ℄
⋆ ℄
⋆
⋆ (40)
℄ ℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
⋆
⋆
℄ ℄
⋆
℄ ℄ (41)
℄ ℄
⋆
⋆
℄
⋆
℄
⋆
℄
⋆
⋆
⋆
℄ ℄ (42)
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℄
⋆ ℄
⋆
℄ ℄
⋆ ⋆
⋆ ℄ ℄
⋆
⋆
(43)
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄
⋆
(44)
℄
⋆ ℄ ℄
⋆
℄
⋆ ⋆
℄
⋆ ℄
⋆
℄
⋆ (45)
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄ ℄
⋆
⋆
℄
⋆
(46)
℄
⋆
℄ ℄
⋆
⋆
⋆
⋆
℄
⋆
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℄
⋆
(47)
⋆ ℄ ℄
⋆
⋆ ℄ ℄
⋆
℄
⋆ ℄
⋆
⋆ ℄ (48)
⋆
⋆
℄
⋆
⋆
⋆
℄ ℄
⋆
℄
⋆
℄ ℄ ℄ (49)
℄ ℄ ℄
⋆ ⋆
℄ ℄
⋆ ℄ ℄
⋆
℄
⋆ ⋆
℄ ℄ ℄
⋆ (50)
℄
⋆ ℄
⋆
℄ ℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ (51)
⋆
℄ ℄ ℄
⋆
℄
⋆
⋆
⋆
⋆
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⋆
℄ (52)
‡ ℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆ ℄ ℄ ℄ ℄
⋆
(53)
‡
⋆
⋆
⋆
⋆
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄
⋆
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
⋆
⋆
℄ ℄ ℄ ℄
⋆
℄ (54)
℄
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℄
℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡ ⋆
⋆
℄
⋆
℄
⋆ ℄ ℄
⋆
℄ (1)
⋆
⋆
℄
⋆
℄
⋆
℄
⋆
℄ ℄
⋆
℄
⋆
℄ (2)
℄ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄
⋆
⋆
⋆ ⋆ ℄ ℄ (3)
℄ ℄
⋆ ⋆
℄
⋆ ⋆
℄ ℄
⋆ ℄
⋆
℄
⋆ ℄ (4)
7/21/2019 Desikar Prabandham PhDF
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℄
⋆ ⋆
℄
⋆ ℄
⋆
℄
⋆ ℄
⋆
⋆ ℄ ℄ ℄
(5)
⋆ ℄ ℄ ℄
⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄ ℄ ℄
⋆
⋆ ℄ ℄ ℄ ℄ ℄ (6)
℄
⋆
⋆
℄ ℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
℄
⋆
℄ ℄ (7)
⋆ ⋆
℄
⋆ ℄
⋆
℄
⋆ ℄ ℄ ℄
⋆
℄
⋆ ℄ (8)
℄
⋆ ⋆
℄
℄
⋆ ℄
⋆
⋆ ℄
⋆
℄
⋆ (9)
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℄
℄ ℄
⋆
⋆
⋆
℄ ℄ ℄
⋆
⋆
℄
⋆
℄ ℄
⋆ ℄
℄ (10)
⋆
⋆
℄ ℄
⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄ ℄
⋆
℄
⋆
℄ ℄ ℄ ℄ ℄ ℄ ℄ (11)
℄ ℄ ℄ ℄
℄ ℄
⋆
℄ ℄ ℄ ℄ ℄
℄
⋆
℄ ℄
⋆
℄
⋆
℄ ℄
℄ ⋆
⋆
℄ ℄ ℄ ℄ ℄ ℄
℄
⋆
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℄
℄
℄ (12)
℄
⋆
⋆
℄ ℄
⋆ ℄
⋆ ℄ ℄
⋆
℄ ℄ (13)
℄ ℄ ℄
⋆ ℄ ℄
⋆
⋆ ℄
⋆
⋆ ℄
⋆
⋆ ℄ ℄ (14)
⋆ ℄ ℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄
⋆ ℄
⋆
℄
⋆ ℄ (15)
⋆
⋆
℄ ℄ ℄
⋆
℄
⋆
⋆
⋆
⋆
℄ (16)
⋆
℄ ℄
⋆
℄
⋆
⋆
⋆
℄
⋆
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℄
⋆
(17)
‡ ⋆
℄
⋆
⋆
⋆
⋆
℄ ℄
⋆
⋆
℄
⋆
℄ ℄ ℄
⋆
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⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄
⋆
℄
⋆
℄
⋆
℄ (18)
℄ ℄
℄ ℄
⋆
℄
℄
⋆
℄
⋆
℄ ⋆
℄
⋆
℄
⋆
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℄
℄
⋆
℄
⋆
℄
℄ ℄
⋆
℄
℄
⋆
℄
⋆
℄
⋆
℄ ℄
℄
⋆
℄ ℄
⋆
℄
⋆
(19)
⋆
℄ ℄
⋆
℄ ℄ ℄
⋆
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⋆
℄ ℄
⋆
℄
⋆
℄
⋆ ℄ ℄
℄ ℄ ℄ ℄ (20)
℄
⋆
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℄
⋆
℄
⋆
⋆
℄
⋆
℄
℄ ℄
⋆
℄
℄
⋆
℄
℄ (21)
⋆
℄
⋆
⋆
⋆
℄ ℄ ℄
⋆
⋆
℄
⋆
℄ (22)
⋆
⋆
℄ ℄ ℄
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⋆
℄ ℄ ℄
⋆ ℄ ℄
⋆
℄ ℄ ℄ ⋆ ℄ ℄ ℄ (23)
℄
⋆ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆ ℄ ℄
⋆
℄ ℄
⋆ ℄ ℄ ℄ ℄ (24)
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℄
℄ ℄
⋆ ℄
⋆
℄
⋆
⋆
℄
⋆ ℄ ℄ ℄
⋆
⋆ ℄
(25)
℄ ℄
⋆ ⋆
⋆
⋆
⋆
⋆
℄ ℄
⋆ ℄ ℄ (26)
‡ ℄
⋆
⋆
⋆
℄ ℄
⋆
℄ ℄
⋆
℄ ℄
⋆
⋆
℄ (27)
‡ ℄ ℄
⋆
℄
⋆
℄
⋆
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⋆
⋆
℄
⋆
℄ ℄ ℄
⋆
℄ ℄ ℄ (28)
‡ ⋆ ℄
⋆
⋆
℄ ℄
⋆ ℄ ℄
⋆
℄ (29)
℄
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℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡ ⋆ ℄
⋆
℄
⋆
⋆
⋆ ℄
⋆
⋆ ℄ ℄ (1)
℄ ℄ ℄
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℄ ℄
⋆
⋆
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℄
⋆
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℄
⋆ ℄ (3)
℄ ℄ ℄
⋆
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⋆
℄
⋆ ℄ (4)
⋆ ℄
⋆
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄
⋆ ℄ (5)
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⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
℄ ℄
⋆ ⋆
⋆ ℄ ℄
(6)
℄ ℄ ℄
⋆
⋆
℄ ℄
⋆ ℄
⋆
℄
⋆ ⋆
⋆ ℄ (7)
⋆ ℄
⋆
⋆ ⋆
⋆ ⋆
⋆ ℄ (8)
℄
⋆
⋆
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℄
⋆ ℄ ℄ (9)
‡ ⋆ ⋆
⋆ ⋆
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⋆
⋆ ℄ ℄ ℄ (10)
‡℄
⋆ ℄
⋆
℄
⋆ ⋆
℄ ℄
⋆ ⋆
⋆
(11)
℄
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℄ ℄
℄ ℄ ℄ ℄
℄
℄
℄
⋆ ⋆
⋆ ⋆
⋆ ℄
⋆
℄
⋆ ℄ (1)
℄
⋆ ⋆
℄
⋆ ℄ ℄
⋆
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⋆
⋆ ℄ (2)
℄ ℄
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℄
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⋆
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℄
⋆ (3)
℄
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⋆
℄
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℄ ℄
⋆
⋆
℄
⋆ ℄ (4)
⋆ ⋆
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⋆
⋆
⋆
⋆ ℄ (5)
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℄
⋆ ℄
⋆
⋆ ℄ ℄
⋆
⋆ ℄
⋆
⋆ ℄
(6)
℄
⋆ ℄
⋆
⋆ ℄
⋆
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⋆ (7)
⋆ ℄ ℄
⋆
℄
⋆ ℄ ℄ ℄
⋆
℄
⋆ ⋆
℄ ℄
⋆ (8)
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⋆
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⋆
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⋆ ℄ (9)
℄
⋆ ℄ ℄
⋆
℄
⋆
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℄
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⋆ (10)
℄
⋆ ⋆
⋆ ℄
⋆
℄ ℄ ℄
⋆
⋆
℄
⋆ ℄ ℄
(11)
℄
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℄
℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡
⋆ ℄
⋆
⋆ ℄
⋆
⋆
⋆
⋆ (1)
℄
⋆ ⋆
℄
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℄
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℄
⋆ (2)
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℄ ℄
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℄ ℄
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⋆
℄ ℄
⋆ ⋆
⋆ (4)
℄
⋆ ℄ ℄
⋆
⋆ ⋆
℄ ℄
⋆ ⋆
⋆ (5)
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℄
℄
⋆ ℄
⋆
℄ ℄ ℄
⋆ ℄ ℄
⋆
℄
⋆ ⋆
℄
⋆ ℄
(6)
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⋆
⋆ (7)
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℄ ℄
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℄
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⋆ (8)
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⋆ ℄
⋆
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⋆
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‡
⋆ ℄
⋆
℄
⋆ ⋆
⋆
⋆
⋆ (10)
℄
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℄ ℄
℄ ℄
℄ ℄ ℄ ℄
℄
℄
℄ ℄ ℄
℄ ℄ ℄ ℄ ℄ ℄
℄ ℄ ℄ ℄
℄ ℄ ℄ ℄ ℄
℄
℄
℄ ℄ ℄ ℄
℄
℄ ℄
℄ ℄ ℄ ℄
‡
℄ ℄ ℄ ℄ ℄
℄
℄
℄ ℄
℄ (1)
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℄ ℄
℄
℄ ℄ ℄
℄
℄ (2)
℄
℄
℄ ℄
℄ ℄ ℄
℄ ℄ ℄
℄ ℄ ℄ ℄ ℄
℄ ℄ (3)
℄
℄
℄ ℄
(4)
℄
℄
℄
℄
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℄ ℄
℄
℄ (5)
℄
℄
℄
(6)
℄
℄
℄ ℄
℄ ℄
℄
(7)℄ ℄
℄ ℄
℄ ℄ ℄ ℄
℄ ℄
℄ ℄
(8)
℄ ℄
℄ ℄
℄ ℄
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℄ ℄
(9)
‡
℄ ℄
℄
℄
(10)
‡
℄
℄
℄
℄
℄ ℄
℄ ℄ (11)
℄
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℄ ℄
℄ ℄ ℄ ℄
℄
℄
℄ ℄ ℄ ℄
⋆
℄ ℄
⋆
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℄ ℄
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‡ ℄ ℄
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℄ ℄
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⋆
⋆ ℄ ℄ (1)
℄
⋆
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⋆ ℄ ℄
⋆
⋆ ⋆
℄
⋆ ℄
⋆
⋆ (3)
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℄ ℄
⋆
⋆
℄
⋆ ℄
⋆
⋆ ℄ ℄
⋆
℄
⋆ ℄ ℄
(4)
℄
⋆ ℄
⋆
⋆ ℄ ℄
⋆
⋆ ⋆
⋆ ℄ (5)
℄ ℄ ℄
⋆ ℄ ℄
⋆
⋆ ℄
⋆
℄
⋆ ⋆
⋆ ℄ (6)
℄ ℄
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⋆
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⋆
⋆ ℄ ℄ ℄ (7)
℄ ℄ ℄ ℄
⋆ ℄
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⋆
⋆ ⋆
⋆ ℄ ℄ ℄ (8)
℄
⋆ ℄
⋆
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⋆
⋆ ⋆
⋆ ℄ ℄
(9)
℄ ℄
⋆ ℄
⋆
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⋆ ⋆
℄
⋆ ℄
⋆
℄ ℄ ℄
⋆ ℄ ℄ (10)
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⋆ ℄ ℄ ℄ ℄ ℄ ℄
⋆
℄ ℄
⋆ ⋆
℄
⋆ ℄
⋆
℄
⋆ ℄
(11)
‡ ℄ ℄ ℄
⋆
⋆
℄
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⋆
℄ ℄
⋆ ℄
⋆
⋆ ℄ (12)
‡ ⋆
⋆
⋆ ℄ ℄
⋆
℄
⋆ ℄ ℄
⋆
⋆ (13)
℄
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℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡ ℄
⋆ ℄
⋆
⋆ ℄ ℄
⋆
℄
⋆ ℄
⋆
℄
⋆ ℄ (1)
℄ ℄
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⋆
℄
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℄
⋆ ⋆
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℄
⋆ ℄ ℄ (3)
℄ ℄
⋆
⋆
℄ ℄
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℄ ℄ ℄
⋆ ℄ ℄ ℄ ℄
⋆
℄
⋆ ℄ ℄ (4)
℄
⋆ ℄ ℄ ℄
⋆
℄ ℄
⋆ ℄
⋆
℄ ℄
⋆
⋆
℄ ℄
⋆ ℄ (5)
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℄ ℄
⋆ ℄ ℄
⋆
℄
⋆ ⋆
℄ ℄ ℄
⋆
⋆
℄
⋆ ℄
(6)
⋆ ℄ ℄
⋆
⋆
⋆
℄
⋆
⋆
⋆ (7)
℄ ℄
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⋆
℄ ℄
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℄ ℄ ℄
⋆ ℄ ℄ ℄ ℄
⋆
℄
⋆ ℄ ℄ (8)
‡ ⋆ ⋆
⋆ ℄
⋆
℄
⋆ ℄ ℄
⋆
⋆ (9)
‡ ⋆ ⋆
⋆ ℄
⋆
℄
⋆ ℄
⋆
⋆ (10)
℄
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℄ ℄
℄ ℄ ℄ ℄
℄
℄
‡ ℄ ℄
⋆ ℄
⋆
℄ ℄
⋆
⋆
℄ ℄ ℄
⋆ ⋆
℄
⋆ ℄ (1)
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℄
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℄
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℄ ℄
⋆ ℄ ℄ (3)
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℄
⋆ ℄ ℄ (4)
℄ ℄
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⋆ ℄ ℄
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℄
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⋆ ⋆
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⋆
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℄ ℄
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⋆
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⋆ (16)
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℄
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℄
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℄
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(10)
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℄ (13)
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℄
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℄
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℄
℄ ℄
(21)
℄
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