这个动态规划算法问题怎么解决啊?
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这个动态规划算法问题怎么解决啊?
Recall the greedy algorithm for Knapsack from the notes.
Show that, for every constant c < 2, there is an instance of Knapsack
for which the greedy algorithm produces a solution that is greater than
c times optimal. (Hint: recall the example given in class with capacity
19 with three items: u
1
with weight 11 and value 11.1, one with weight
10 and value 10, and one with weight 9 and value 9. In this case, the
optimal solution has value 19, whereas the greedy solution provides a
solution of value 11.1.)
Recall the greedy algorithm for Knapsack from the notes.
Show that, for every constant c < 2, there is an instance of Knapsack
for which the greedy algorithm produces a solution that is greater than
c times optimal. (Hint: recall the example given in class with capacity
19 with three items: u
1
with weight 11 and value 11.1, one with weight
10 and value 10, and one with weight 9 and value 9. In this case, the
optimal solution has value 19, whereas the greedy solution provides a
solution of value 11.1.)
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