2018-10-02 21:24:06 +08:00
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''' mbinary
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#########################################################################
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# File : splitStripe.py
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# Author: mbinary
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# Mail: zhuheqin1@gmail.com
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2019-01-31 12:09:46 +08:00
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# Blog: https://mbinary.xyz
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2018-10-02 21:24:06 +08:00
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# Github: https://github.com/mbinary
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# Created Time: 2018-08-24 17:07
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# Description:
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#########################################################################
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'''
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2018-08-29 15:52:02 +08:00
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'''
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There is stripe which length is n,
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priceMap contains a map for different length of stripe and its price
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then find the maximum price to split the stripe in different shorter stripes
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( including the original length if possible)
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'''
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def count(n,prices):
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def best(cur):
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# note that copying the list or create a new list in the following new_stripes codes
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if cur in values: return values[cur],stripes[cur]
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maxPrice = 0
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new_stripes=[]
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for i,j in prices.items():
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if i<=cur:
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p, tmp = best(cur-i)
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if maxPrice<p+j:
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new_stripes = tmp+[i] # if the list is not copyed, create a new list, don't use append
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maxPrice =p+j
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values[cur] = maxPrice
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stripes[cur] = new_stripes
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return maxPrice,new_stripes
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values = {0:0}
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stripes = {0:[]}
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return best(n)
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if __name__=='__main__':
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li = [(1,1),(2,5),(3,8),(4,9),(5,10),(6,17),(7,17),(8,20),(9,24),(10,30)]
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prices = {i:j for i,j in li}
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n = 40
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d = {i:count(i,prices) for i in range(n+1)}
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for i in range(n+1):
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print(i,d[i])
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