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How to permute 4 operation between fixed numbers position..

Posted 9 years ago

Hi all, is there any way to permute all four operation Plus, Minus, Times, Exp between numbers that has fixed position..I created list by hand but it takes time.. please see attachment..

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POSTED BY: Okkes Dulgerci
2 Replies
Posted 9 years ago

Awesome!! Thanks a lot..

POSTED BY: Okkes Dulgerci

how about using string operations:

In[54]:= nums = {"4", "5", "1", "18"}

Out[54]= {"4", "5", "1", "18"}

In[55]:= ops = Permutations[{"+", "-", "*", "^"}, {3}]

Out[55]= {{"+", "-", "*"}, {"+", "-", "^"}, {"+", "*", "-"}, {"+", 
  "*", "^"}, {"+", "^", "-"}, {"+", "^", "*"}, {"-", "+", "*"}, {"-", 
  "+", "^"}, {"-", "*", "+"}, {"-", "*", "^"}, {"-", "^", "+"}, {"-", 
  "^", "*"}, {"*", "+", "-"}, {"*", "+", "^"}, {"*", "-", "+"}, {"*", 
  "-", "^"}, {"*", "^", "+"}, {"*", "^", "-"}, {"^", "+", "-"}, {"^", 
  "+", "*"}, {"^", "-", "+"}, {"^", "-", "*"}, {"^", "*", "+"}, {"^", 
  "*", "-"}}

In[56]:= d = First[Dimensions[%]]

Out[56]= 24

In[57]:= Table[StringJoin[Riffle[nums, ops[[i, All]]]], {i, d}]

Out[57]= {"4+5-1*18", "4+5-1^18", "4+5*1-18", "4+5*1^18", "4+5^1-18", \
"4+5^1*18", "4-5+1*18", "4-5+1^18", "4-5*1+18", "4-5*1^18", \
"4-5^1+18", "4-5^1*18", "4*5+1-18", "4*5+1^18", "4*5-1+18", \
"4*5-1^18", "4*5^1+18", "4*5^1-18", "4^5+1-18", "4^5+1*18", \
"4^5-1+18", "4^5-1*18", "4^5*1+18", "4^5*1-18"}

In[59]:= list = ToExpression[%]

Out[59]= {-9, 8, -9, 9, -9, 94, 17, 0, 17, -1, 17, -86, 3, 21, 37, \
19, 38, 2, 1007, 1042, 1041, 1006, 1042, 1006}
POSTED BY: Kay Herbert
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