Knapsack Problem Section 7.6. A 8 lbs $7 0.86 B 6 lbs $6 1.00 C 4 lbs $5 1.25 D 2 lbs $3 1.50 E 1 lb $2 2.00 10 lbs capacity A 8 lbs $7 0.86 B 6 lbs $6.

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Presentation transcript:

Knapsack Problem Section 7.6

A 8 lbs $ B 6 lbs $ C 4 lbs $ D 2 lbs $ E 1 lb $ lbs capacity A 8 lbs $ B 6 lbs $ C 4 lbs $ D 2 lbs $ E 1 lb $ A 8 lbs $ B 6 lbs $ C 4 lbs $ D 2 lbs $ E 1 lb $ By Price By Value or Min Weight =$10

A 8 lbs $ B 6 lbs $ C 4 lbs $ D 2 lbs $ E 1 lb $ lbs capacity E D E D E C E B E D E C E D E D E C E B E D E A E D E D E C E *  (2 N )

A 8 lbs $ B 6 lbs $ C 4 lbs $ D 2 lbs $ E 1 lb $ lbs capacity E D E D E C E B E D E C E D E D E C E B E D E A E D E D E C E * O(2 N )

A 8 lbs $ B 6 lbs $ C 4 lbs $ D 2 lbs $ E 1 lb $ lbs capacity BC D E D E C E B E D E A E D E D E C E * O(N K ) on average

LCS Problem Longest Common Subsequence Section 8.4

E L A I N E S U Z I E A C B A C A B C B A C A B C A A A LCS = ACABC (LENGTH 5) LCS = BACABC (LENGTH 6)

a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a a3a

a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a a3a

a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a a3a

a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a a3a

a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a a3a

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