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knapsack-fractional.py
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knapsack-fractional.py
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class ItemValue:
"""Item Value DataClass"""
def __init__(self, wt, val, ind):
self.wt = wt
self.val = val
self.ind = ind
self.cost = val // wt
def __lt__(self, other):
return self.cost < other.cost
# Greedy Approach
class FractionalKnapSack:
"""Time Complexity O(n log n)"""
@staticmethod
def getMaxValue(wt, val, capacity):
"""function to get maximum value """
iVal = []
for i in range(len(wt)):
iVal.append(ItemValue(wt[i], val[i], i))
# sorting items by value
iVal.sort(reverse=True)
totalValue = 0
for i in iVal:
curWt = int(i.wt)
curVal = int(i.val)
if capacity - curWt >= 0:
capacity -= curWt
totalValue += curVal
else:
fraction = capacity / curWt
totalValue += curVal * fraction
capacity = int(capacity - (curWt * fraction))
break
return totalValue
# Driver Code
if __name__ == "__main__":
wt = [10, 40, 20, 30]
val = [60, 40, 100, 120]
capacity = 50
# Function call
maxValue = FractionalKnapSack.getMaxValue(wt, val, capacity)
print("Maximum value in Knapsack =", maxValue)
# This code is contributed by vibhu4agarwal