Created
March 2, 2016 08:07
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Knapsack problem dynamic programming no repetition of items
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# Uses python3 | |
import sys | |
def knapSackNoRep(capacity, bars): | |
amount = len(bars) | |
value=[[0 for row in range(0, amount+1)] for col in range(0, capacity+1)] | |
for i in range(1, amount+1): | |
wi = bars[i-1] | |
vi = bars[i-1] | |
for w in range(1, capacity+1): | |
value[w][i] = value[w][i-1] | |
if wi <= w: | |
val = value[w-wi][i-1] + vi | |
if value[w][i] < val: | |
value[w][i] = val | |
return value[capacity][amount] | |
if __name__ == '__main__': | |
input = sys.stdin.read() | |
W, n, *w = list(map(int, input.split())) | |
print(knapSackNoRep(W, w)) |
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