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Create knapsack.py#25

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28 changes: 28 additions & 0 deletionsDynamic Programming/knapsack.py
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Original file line numberDiff line numberDiff line change
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# Returns the maximum value that can be put in a knapsack of
# capacity W
def knapSack(W , wt , val , n):

# Base Case
if n == 0 or W == 0:
return 0

# If weight of the nth item is more than Knapsack of capacity
# W, then this item cannot be included in the optimal solution
if (wt[n-1] > W):
return knapSack(W , wt , val , n-1)

# return the maximum of two cases:
# (1) nth item included
# (2) not included
else:
return max(val[n-1] + knapSack(W-wt[n-1] , wt , val , n-1),
knapSack(W , wt , val , n-1))


# To test above function
val = [60, 100, 120]
wt = [10, 20, 30]
W = 50
n = len(val)
print(knapSack(W , wt , val , n))
# output 220

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