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01背包问题优化

2013-10-12 23:26 330 查看
01背包问题一维数组优化的关键在于在优化中保证状态转移方程成立,即每次计算时要保证能获取到需要的前一状态。这也是逆序的原因

#!/usr/bin/python  
m = int(raw_input("get m as the max bag size:"))  
n = int(raw_input("get n as the goods tots:"))  
      
print("bag max store: %d, goods tots: %d" % (m, n))  
table = [0]*(m+1)
      
p = [0]  
w = [0]  
      
for i in range(1, n+1):  
    weigth = int(raw_input("get weigth:"))  
    value =  int(raw_input("get val:"))  
    w.append(weigth)  
    p.append(value)  
      
print p  
print w  
#print table  
      
for row in range(1, n+1):  
    for col in range(m, 0, -1):  
        if(w[row] <=  col and table[col - w[row]]  + p[row] > table[col]):  
                table[col] = table[col - w[row]] + p[row]
print "max value can store:" + str(table[m])
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