2018-10-19 13:21:40 +00:00
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from bisect import bisect
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2020-07-06 07:44:19 +00:00
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from itertools import accumulate
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2018-10-19 13:21:40 +00:00
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2019-10-05 05:14:13 +00:00
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2022-10-12 22:54:20 +00:00
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def frac_knapsack(vl, wt, w, n):
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2019-10-18 06:13:20 +00:00
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"""
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2022-10-12 22:54:20 +00:00
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>>> frac_knapsack([60, 100, 120], [10, 20, 30], 50, 3)
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2019-10-18 06:13:20 +00:00
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240.0
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"""
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2018-10-19 13:21:40 +00:00
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2022-10-15 17:29:42 +00:00
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r = sorted(zip(vl, wt), key=lambda x: x[0] / x[1], reverse=True)
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2019-10-05 05:14:13 +00:00
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vl, wt = [i[0] for i in r], [i[1] for i in r]
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acc = list(accumulate(wt))
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2022-10-12 22:54:20 +00:00
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k = bisect(acc, w)
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2019-10-05 05:14:13 +00:00
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return (
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0
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if k == 0
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2022-10-12 22:54:20 +00:00
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else sum(vl[:k]) + (w - acc[k - 1]) * (vl[k]) / (wt[k])
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2019-10-05 05:14:13 +00:00
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if k != n
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else sum(vl[:k])
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)
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2019-10-22 17:13:48 +00:00
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2019-10-18 06:13:20 +00:00
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if __name__ == "__main__":
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import doctest
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2018-10-19 13:21:40 +00:00
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2019-10-18 06:13:20 +00:00
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doctest.testmod()
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