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Regd.No: Page No: Class: II IT II SEM DESIGN & ANAL YSIS OF ALGORITHMS PROGRAM-7 DATE: Matrix chain multiplication by using dynamic programming method. Suppose e ha!e a se"uence or chain #$% #&% '% #n o( n matrices to be multiplied ) That is% e ant to comput e the product #$#&'#n There are many possible ays *parenthesi+ations, to compute the product Example: consider the chain #$% #&% #-% # o( matrices ) /et us compute the product # $#&#-# There are 0 possible ays: ) *#$*#&*#-#,,, ) *#$**#&#-,#,, ) **#$#&,*#-#,, ) **#$*#&#-,,#, ) ***#$#&,#-,#, Example: Consider three matrices #$12$11% 3$1120% and C0201 There are & ays to parenthesi+e ) **#3,C, 4 5$120 6 C0201 6 #3 7 $16$116040%111 scalar multipl ications 6 5C 7 $160601 4&%011 scalar multipl ications 6 Total: 8%011 ) *#*3C,, 4 #$12$11 6 E$11201 6 3C 7 $11606014&0%111 scalar multiplications 6 #E 7 $16$1160 1 401%111 scalar mul ti pl icati ons 6 Total: 80%111 The structure o( an optimal solution /et us use the notation #i..9 (or the matrix that results (rom the product #i #i$ ' #9 #n optimal parenthesi+ation o( the product #$#&'# n splits the product beteen #; and # ;$ (or some inte ger ; here$ < ; = n. >irst compute matrices #$..; and #; $..n ? then multiply them to get the (inal matrix #$..n @IAN#NBS >DN5#TIN >R SCIENCE%TECN/AF #N5 RESE#RC

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finel catlog - PARADOX PUMPS · 2018. 9. 29. · Title: finel catlog.cdr Author: chilars Created Date: 9/25/2018 4:44:57 PM

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o Gr1 1.5 daa H530 1 106.4 daa o TD2 7.2 daa · 35 % BYA f_AVG2 o_KHP 0.7 daa BF1 1.8 daa 30 % BYA f_AVG1 f_G2 BF8 2.1 daa 30 % BYA o_FRI4 4.4 daa f_V7 o_NA 1.8 daa o_FRI5 46.3 daa

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Consequências Técnicas da Recomendação Agronômica...Engeo Pleno S 250 90,7 88,5 83,6 79,6 75,2 Tratamentos Dosagem (ml/g p.c.ha-1) 1 DAA 4 DAA 7 DAA 10 DAA 14 DAA Testemunha ---

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1 . GANGS B EHAND LI NG - Ringerike · f_GTD3 BKS13 1.353 daa %BYA=70% BKS15 2.047 daa %BYA=70% BKS17 1.042 daa %BYA=70% f_GF1 4.367 daa f_SVG15 f_BLK2 1.286 daa BKS29 0.536 daa %BYA=70%

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