Isomorphic Nested lists help

[compscihelp]

Hi, I need to create a function using recursion to find out if two lists have the same shape. For example, if nest1 = [4, [ [3,6], [] ,7] ,[8] ]
nest2 = [ [ [3] ] , 7 , [ [5 , [9 , 2] , [ [ [ [ [4] ] , 2 ] ] ] ] ] ]
nest3 = [ 5, [ [3,9], [] ,7] ,[2]

then

isomorphic ( nest1 , nest2 ) should yield False
isomorphic ( nest1 , nest3 ) should yield True
isomorphic ( nest2 , nest3 ) should yield False

How would you set this up?

Thanks!

[Gribouillis]

Compute isomorphic(nestA, nestB) by hand without a computer and note carefully every single step of your reasonning. This will give you pseudo code. Then write the pseudo code, then implement.

[TrustyTony]

My implementation is cute two two branch ifs and this is the trace of running the function with trace decorator two of you examples as input.

|   isomorphic ([4, [[3, 6], [], 7], [8]], [[[3]], 7, [[5, [9, 2], [[[[[4]], 2]]]]]])
|      isomorphic (4, [[3]]) = False
|       = False
|    False


|   isomorphic ([4, [[3, 6], [], 7], [8]], [5, [[3, 9], [], 7], [2]])
|      isomorphic (4, 5) = True
|      
|      isomorphic ([[[3, 6], [], 7], [8]], [[[3, 9], [], 7], [2]])
|         isomorphic ([[3, 6], [], 7], [[3, 9], [], 7])
|            isomorphic ([3, 6], [3, 9])
|               isomorphic (3, 3) = True
|               
|               isomorphic ([6], [9])
|                  isomorphic (6, 9) = True
|                  
|                  isomorphic ([], []) = True
|                   = True
|                = True
|            
|            isomorphic ([[], 7], [[], 7]) = True
|             = True
|         
|         isomorphic ([[8]], [[2]])
|            isomorphic ([8], [2])
|               isomorphic (8, 2) = True
|               
|               isomorphic ([], []) = True
|                = True
|            
|            isomorphic ([], []) = True
|             = True
|          = True
|       = True
|    True

[compscihelp]

thanks, I think I finally got it!