Beginner problems with references to arrays in python 3.1.1

Question

As part of the last assignment in a beginner python programing class, I have been assigned a traveling sales man problem. I settled on a recursive function to find each permutation and the sum of the distances between the destinations, however, I am have a lot of problems with references. Arrays in different instances of the Permute and Main functions of TSP seem to be pointing to the same reference.

from math import sqrt
    class TSP:
        def __init__(self):
            self.CartisianCoordinates = [['A',[1,1]], ['B',[2,2]], ['C',[2,1]], ['D',[1,2]], ['E',[3,3]]]
            self.Array = []
            self.Max = 0
            self.StoredList = ['',0]
        def Distance(self, i1, i2):
            x1 = self.CartisianCoordinates[i1][1][0]
            y1 = self.CartisianCoordinates[i1][1][1]
            x2 = self.CartisianCoordinates[i2][1][0]
            y2 = self.CartisianCoordinates[i2][1][1]
            return sqrt(pow((x2 - x1), 2) + pow((y2 - y1), 2))

    def Evaluate(self):
        temparray = []
        Data = []
        for i in range(len(self.CartisianCoordinates)):
            Data.append([])
        for i1 in range(len(self.CartisianCoordinates)):
            for i2 in range(len(self.CartisianCoordinates)):
                if i1 != i2:
                    temparray.append(self.Distance(i1, i2))
                else:
                    temparray.append('X')
            Data[i1] = temparray
            temparray = []
        self.Array = Data
        self.Max = len(Data)
    def Permute(self,varray,index,vcarry,mcarry): #Problem Class
        array = varray[:]
        carry = vcarry[:]
        for i in range(self.Max):
            print ('ARRAY:', array)
            print (index,i,carry,array[index][i])
            if array[index][i] != 'X':
                carry[0] += self.CartisianCoordinates[i][0]
                carry[1] += array[index][i]
                if len(carry) != self.Max:
                    temparray = array[:]
                    for j in range(self.Max):temparray[j][i] = 'X'
                    index = i
                    mcarry += self.Permute(temparray,index,carry,mcarry)
                else:
                    return mcarry
        print ('pass',mcarry)
        return mcarry
    def Main(self):
        out = []
        self.Evaluate()
        for i in range(self.Max):
            array = self.Array[:] #array appears to maintain the same reference after each copy, resulting in an incorrect array being passed to Permute after the first iteration.
            print (self.Array[:])
            for j in range(self.Max):array[j][i] = 'X'
            print('I:', i, array)
            out.append(self.Permute(array,i,[str(self.CartisianCoordinates[i][0]),0],[]))
        return out


SalesPerson = TSP()
print(SalesPerson.Main())

It would be greatly appreciated if you could provide me with help in solving the reference problems I am having. Thank you.

Answer 1

Slicing a list (by using [:] as you do) does not create a deep copy -- it creates a shallow copy. That means that if the list contains references to other lists, the copy will contain the same references -- not references to new lists. Put another way, only the list itself is copied, not its elements or its elements' elements.

What you want here is a deep copy. Instead of

array = self.Array[:]

try

array = copy.deepcopy(self.Array)

for which you'll need import copy.