0/1 Knapsack Problem Using Dynamic Programming || Design and Analysis of Algorithms || DAA

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We are having ‘n’ objects and a knapsack or a bag in which the object ‘i’ has weight ‘wi’ is to be placed. And the knapsack has capacity ‘M’.
The profit pixi can be earned, if an object ‘i’ has to be placed into the knapsack.
The objective of the knapsack problem is to fill the knapsack with maximum profitable objects and the sum of the weights of the object is lessthan or equal to the capacity of the knapsack. That is
Maximize ∑2_(𝑖=0)^𝑛▒"pixi"
Purging rule (or) Dominance rule
If Si+1 contains (pj, wj) and (pk, wk) two pairs such that (pj ≤ pk ) and (wj ≥ wk)
then (pj, wj) pair can be eliminated. This purging rule is also called "dominance rule”.
In purging rule basically the dominated tuples get purged that is remove the pair with less profit and more weight.
The formula for solving the problem is
Si+1 = Si U S1i

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[@adarinikhil1262]

Sir what if profits are not in order of purging rule

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Nice explanation sir thank you

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Tq for giving useful information

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@@SudhakarAtchala already subscribed your channel 3 years ago and shared with friends as well carry on the good work 😉😄 but plz also tell that how to represent these types of questions in exam question paper in your videos thanks a lot once again 🙂

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Tq for teaching knapsack problem

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Happy Teachers Day sir...😊

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In this video so useful for me

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Thank you

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HAPPY TEACHER'S DAY SIR

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Very good explanation sir!! Thank you

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happy teacher's day sir

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[@vanireddypunyala7880]

for example p1>=p2 what operation we perform sir

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No need to remove the dominant pair.
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You want to do video on reliability design problem

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Happy Teacher's Day...

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Sir your explanatiom is excellent but video length is so much 😢 please try to say fast

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For the same problem can you Please explain tabular method

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