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Knapsack 0-1 Python binary & rosettacode & WE

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Knapsack 0-1 Python binary & rosettacode & WE

Classic Knapsack problem is solved in many ways

My newest program synthesizes all ciphers from 0 & 1
adding an extra register and 0 remain on left in cipher

Number of comparisons decreases from N! to 2^N
for example N=10 & N!=3628800 >> 2^N=1024

Random values origin are automatically assigned
quantity and quality and integral of value is obtained
and in general: integral of quantity and quality

Expand|Select|Wrap|Line Numbers
  1. n=5; N=n+1; G=5; a=2**N # KNAPSACK 0-1 DANILIN  
  2. L=[];C=[];e=[];j=[];q=[];s=[] # rextester.com/BCKP19591
  3. d=[];L=[1]*n;C=[1]*n;e=[1]*a    
  4. j=[1]*n;q=[0]*a;s=[0]*a;d=[0]*a
  5.  
  6. from random import randint
  7. for i in range(0,n):
  8.     L[i]=randint(1,3)
  9.     C[i]=10+randint(1,9)
  10.     print(i+1,L[i],C[i])
  11. print()
  12.  
  13. for h in range(a-1,(a-1)//2,-1):
  14.     b=str(bin(h))
  15.     e[h]=b[3:len(b)]
  16.  
  17.     for k in range (n):
  18.         j[k]=int(e[h][k])
  19.         q[h]=q[h]+L[k]*j[k]*C[k]
  20.         d[h]=d[h]+L[k]*j[k]
  21.  
  22.     if d[h]<= G:
  23.         print(e[h], G, d[h], q[h])
  24. print()   
  25.  
  26. max=0; m=1 
  27. for i in range(a):
  28.     if d[i]<=G and q[i]>max:
  29.         max=q[i]; m=i   
  30. print (d[m], q[m], e[m])
Main thing is very brief and clear to even all

Results is reduced manually:

Expand|Select|Wrap|Line Numbers
  1.    # Mass Cost
  2.     1 2 12
  3.     2 3 17
  4.     3 1 14
  5.     4 3 17
  6.     5 1 13
  7.     Chifer Mass Cost 
  8.     11000 5 5 75
  9.     01001 5 4 64
  10.     00111 5 5 78 !!!
  11.     00110 5 4 65
  12.     00101 5 2 27
  13.     Mass MAX Chifer
  14.     5 78 00111
Nov 25 '22 #1
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