pythonprogram/Knapsack_problem.py at master · par123745/pythonprogram

27 lines (23 loc) · 782 Bytes

# A Dynamic Programming based Python

# Program for 0-1 Knapsack problem

# Returns the maximum value that can

# be put in a knapsack of capacity W

def knapSack(W, wt, val, n):

K = [[0 for x in range(W + 1)] for x in range(n + 1)]

# Build table K[][] in bottom up manner

for i in range(n + 1):

for w in range(W + 1):

if i == 0 or w == 0:

K[i][w] = 0

elif wt[i-1] <= w:

K[i][w] = max(val[i-1] + K[i-1][w-wt[i-1]], K[i-1][w])

else:

K[i][w] = K[i-1][w]

return K[n][W]

# Driver program to test above function

val = [60, 100, 120]

wt = [10, 20, 30]

W = 50

n = len(val)

print(knapSack(W, wt, val, n))

# This code is contributed by Vanasetty Rohit

Provide feedback