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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 on theme: "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."— Presentation transcript:

1 Knapsack Problem Section 7.6

2 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 1.00 C 4 lbs $5 1.25 D 2 lbs $3 1.50 E 1 lb $2 2.00 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 By Price By Value or Min Weight =$10

3 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 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 )

4 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 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 )

5 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 BC D E D E C E B E D E A E D E D E C E * O(N K ) on average

6 LCS Problem Longest Common Subsequence Section 8.4

7 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)

8 a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a2 0123233 0123 0123 323 0 a3a3 00 00 23030 0300 00 0

9 a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a2 0123233 0123 0123 323 0 a3a3 00 00 23030 0300 00 0

10 a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a2 0123233 0123 0123 323 0 a3a3 00 00 23030 0300 00 0

11 a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a2 0123233 0123 0123 323 0 a3a3 00 00 23030 0300 00 0

12 a1a1 a2a2 a3a3 b1b1 b2b2 b3b3 a1a1 a2a2 0123233 0123 0123 323 0 a3a3 00 00 23030 0300 00 0


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