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pythonprogram/Knapsack_problem.py at master · RitikPyCode/pythonprogram · GitHub
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Knapsack_problem.py
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Knapsack_problem.py
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# 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
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