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Merge pull request TheAlgorithms#61 from dhruvsaini/patch-3
Create knapsack.py
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dynamic_programming/knapsack.py

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"""
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Given weights and values of n items, put these items in a knapsack of capacity W to get the maximum total value in the knapsack.
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"""
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def knapsack(W, wt, val, n):
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dp = [[0 for i in range(W+1)]for j in range(n+1)]
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for i in range(1,n+1):
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for w in range(1,W+1):
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if(wt[i-1]<=w):
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dp[i][w] = max(val[i-1]+dp[i-1][w-wt[i-1]],dp[i-1][w])
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else:
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dp[i][w] = dp[i-1][w]
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return dp[n][w]

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