def get_graph():
f=open('kargerMinCut.txt')
G={}for line in f:
ints =[int(x)for x in line.split()]
G[ints[0]]=ints[1:len(ints)]return G
def get_edge(G):
E=[]for i in range(1,201):for v in G[i]:if v>i:
E.append([i,v])print id(E)return E
def karger(E):import random
count=200while1:if count ==2:break
edge = random.randint(0,len(E)-1)
v0=E[edge][0]
v1=E[edge][1]
E.pop(edge)if v0 != v1:
count -=1
i=0while1:if i == len(E):breakif E[i][0]== v1:
E[i][0]= v0
if E[i][1]== v1:
E[i][1]= v0
if E[i][0]== E[i][1]:
E.pop(i)
i-=1
i+=1
mincut=len(E)return mincut
if __name__=="__main__":import copy
G = get_graph()
results=[]
E0 = get_edge(G)print E0[1:10]## this result is not equal to print2for k in range(1,5):
E0_copy=list(E0)## I guess here E0_coypy is a deep copy of E0
results.append(karger(E0_copy))#print "the result is %d" %min(results)print E0[1:10]## this is print2
So After I got E0 from 'get_edge', I make a copy of E0 by calling 'E0_copy = list(E0)'. Here I guess E0_copy is a deep copy of E0, and I pass E0_copy into 'karger(E)'. But in the main function.
Why does the result of 'print E0[1:10]' before the for loop is not the same with that after the for loop?
Below is my code:
def get_graph():
f=open('kargerMinCut.txt')
G={}
for line in f:
ints = [int(x) for x in line.split()]
G[ints[0]]=ints[1:len(ints)]
return G
def get_edge(G):
E=[]
for i in range(1,201):
for v in G[i]:
if v>i:
E.append([i,v])
print id(E)
return E
def karger(E):
import random
count=200
while 1:
if count == 2:
break
edge = random.randint(0,len(E)-1)
v0=E[edge][0]
v1=E[edge][1]
E.pop(edge)
if v0 != v1:
count -= 1
i=0
while 1:
if i == len(E):
break
if E[i][0] == v1:
E[i][0] = v0
if E[i][1] == v1:
E[i][1] = v0
if E[i][0] == E[i][1]:
E.pop(i)
i-=1
i+=1
mincut=len(E)
return mincut
if __name__=="__main__":
import copy
G = get_graph()
results=[]
E0 = get_edge(G)
print E0[1:10] ## this result is not equal to print2
for k in range(1,5):
E0_copy=list(E0) ## I guess here E0_coypy is a deep copy of E0
results.append(karger(E0_copy))
#print "the result is %d" %min(results)
print E0[1:10] ## this is print2
deepcopy(x, memo=None, _nil=[])Deep copy operation on arbitrary Python objects.
请参阅以下代码段-
>>> a =[[1,2,3],[4,5,6]]>>> b = list(a)>>> a
[[1,2,3],[4,5,6]]>>> b
[[1,2,3],[4,5,6]]>>> a[0][1]=10>>> a
[[1,10,3],[4,5,6]]>>> b # b changes too -> Not a deepcopy.[[1,10,3],[4,5,6]]
现在看deepcopy操作
>>>import copy
>>> b = copy.deepcopy(a)>>> a
[[1,10,3],[4,5,6]]>>> b
[[1,10,3],[4,5,6]]>>> a[0][1]=9>>> a
[[1,9,3],[4,5,6]]>>> b # b doesn't change -> Deep Copy[[1,10,3],[4,5,6]]
a =[1,2]
b =[a,a]# there's only 1 object a
c = deepcopy(b)# check the result
c[0]is a # return False, a new object a' is created
c[0]is c[1]# return True, c is [a',a'] not [a',a'']
I believe a lot of programmers have run into one or two interview problems where they are asked to deep copy a linked list, however this problem is harder than it sounds!
in python, there is a module called “copy” with two useful functions
import copy
copy.copy()
copy.deepcopy()
copy() is a shallow copy function, if the given argument is a compound data structure, for instance a list, then python will create another object of the same type (in this case, a new list) but for everything inside old list, only their reference is copied
# think of it like
newList = [elem for elem in oldlist]
Intuitively, we could assume that deepcopy() would follow the same paradigm, and the only difference is that for each elem we will recursively call deepcopy, (just like the answer of mbcoder)
but this is wrong!
deepcopy() actually preserve the graphical structure of the original compound data:
a = [1,2]
b = [a,a] # there's only 1 object a
c = deepcopy(b)
# check the result
c[0] is a # return False, a new object a' is created
c[0] is c[1] # return True, c is [a',a'] not [a',a'']
this is the tricky part, during the process of deepcopy() a hashtable(dictionary in python) is used to map:
“old_object ref onto new_object ref”, this prevent unnecessary duplicates and thus preserve the structure of the copied compound data
a =[0,1,2,3,4,5,6,7,8,9,10]
b = a[:]#deep copying the list a and assigning it to bprint id(a)20983280print id(b)12967208
a[2]=20print a
[0,1,20,3,4,5,6,7,8,9,10]print b
[0,1,2,3,4,5,6,7,8,9,10]
If your list elements are immutable objects then you can use this, otherwise you have to use deepcopy from copy module.
you can also use shortest way for deep copy a list like this.
a = [0,1,2,3,4,5,6,7,8,9,10]
b = a[:] #deep copying the list a and assigning it to b
print id(a)
20983280
print id(b)
12967208
a[2] = 20
print a
[0, 1, 20, 3, 4, 5, 6, 7, 8, 9,10]
print b
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9,10]
Can somebody explain what exactly makes a difference between the copies? Is it something related to mutable & immutable objects? If so, can you please explain it to me?
Normal assignment operations will simply point the new variable towards the existing object. The docs explain the difference between shallow and deep copies:
The difference between shallow and deep copying is only relevant for
compound objects (objects that contain other objects, like lists or
class instances):
A shallow copy constructs a new compound object and then (to the extent possible) inserts references into it to the objects found in the original.
A deep copy constructs a new compound object and then, recursively, inserts copies into it of the objects found in the
original.
Here’s a little demonstration:
import copy
a = [1, 2, 3]
b = [4, 5, 6]
c = [a, b]
Using normal assignment operatings to copy:
d = c
print id(c) == id(d) # True - d is the same object as c
print id(c[0]) == id(d[0]) # True - d[0] is the same object as c[0]
Using a shallow copy:
d = copy.copy(c)
print id(c) == id(d) # False - d is now a new object
print id(c[0]) == id(d[0]) # True - d[0] is the same object as c[0]
Using a deep copy:
d = copy.deepcopy(c)
print id(c) == id(d) # False - d is now a new object
print id(c[0]) == id(d[0]) # False - d[0] is now a new object
For immutable objects, there is no need for copying because the data will never change, so Python uses the same data; ids are always the same. For mutable objects, since they can potentially change, [shallow] copy creates a new object.
Deep copy is related to nested structures. If you have list of lists, then deepcopy copies the nested lists also, so it is a recursive copy. With just copy, you have a new outer list, but inner lists are references.
Assignment does not copy. It simply sets the reference to the old data. So you need copy to create a new list with the same contents.
>>>import copy
>>> i =[1,2,3]>>> j = copy.copy(i)>>> hex(id(i)), hex(id(j))>>>('0x102b9b7c8','0x102971cc8')#Both addresses are different>>> i.append(4)>>> j
>>>[1,2,3]#Updation of original list didn't affected copied variable
嵌套列表示例使用copy:
>>>import copy
>>> i =[1,2,3,[4,5]]>>> j = copy.copy(i)>>> hex(id(i)), hex(id(j))>>>('0x102b9b7c8','0x102971cc8')#Both addresses are still different>>> hex(id(i[3])), hex(id(j[3]))>>>('0x10296f908','0x10296f908')#Nested lists have same address>>> i[3].append(6)>>> j
>>>[1,2,3,[4,5,6]]#Updation of original nested list updated the copy as well
平面清单示例使用deepcopy:
>>>import copy
>>> i =[1,2,3]>>> j = copy.deepcopy(i)>>> hex(id(i)), hex(id(j))>>>('0x102b9b7c8','0x102971cc8')#Both addresses are different>>> i.append(4)>>> j
>>>[1,2,3]#Updation of original list didn't affected copied variable
嵌套列表示例使用deepcopy:
>>>import copy
>>> i =[1,2,3,[4,5]]>>> j = copy.deepcopy(i)>>> hex(id(i)), hex(id(j))>>>('0x102b9b7c8','0x102971cc8')#Both addresses are still different>>> hex(id(i[3])), hex(id(j[3]))>>>('0x10296f908','0x102b9b7c8')#Nested lists have different addresses>>> i[3].append(6)>>> j
>>>[1,2,3,[4,5]]#Updation of original nested list didn't affected the copied variable
For immutable objects, creating a copy don’t make much sense since they are not going to change. For mutable objects assignment,copy and deepcopy behaves differently. Lets talk about each of them with examples.
An assignment operation simply assigns the reference of source to destination e.g:
>>> i = [1,2,3]
>>> j=i
>>> hex(id(i)), hex(id(j))
>>> ('0x10296f908', '0x10296f908') #Both addresses are identical
Now i and j technically refers to same list. Both i and j have same memory address. Any updation to either
of them will be reflected to the other. e.g:
>>> i.append(4)
>>> j
>>> [1,2,3,4] #Destination is updated
>>> j.append(5)
>>> i
>>> [1,2,3,4,5] #Source is updated
On the other hand copy and deepcopy creates a new copy of variable. So now changes to original variable will not be reflected
to the copy variable and vice versa. However copy(shallow copy), don’t creates a copy of nested objects, instead it just
copies the reference of nested objects. Deepcopy copies all the nested objects recursively.
Some examples to demonstrate behaviour of copy and deepcopy:
Flat list example using copy:
>>> import copy
>>> i = [1,2,3]
>>> j = copy.copy(i)
>>> hex(id(i)), hex(id(j))
>>> ('0x102b9b7c8', '0x102971cc8') #Both addresses are different
>>> i.append(4)
>>> j
>>> [1,2,3] #Updation of original list didn't affected copied variable
Nested list example using copy:
>>> import copy
>>> i = [1,2,3,[4,5]]
>>> j = copy.copy(i)
>>> hex(id(i)), hex(id(j))
>>> ('0x102b9b7c8', '0x102971cc8') #Both addresses are still different
>>> hex(id(i[3])), hex(id(j[3]))
>>> ('0x10296f908', '0x10296f908') #Nested lists have same address
>>> i[3].append(6)
>>> j
>>> [1,2,3,[4,5,6]] #Updation of original nested list updated the copy as well
Flat list example using deepcopy:
>>> import copy
>>> i = [1,2,3]
>>> j = copy.deepcopy(i)
>>> hex(id(i)), hex(id(j))
>>> ('0x102b9b7c8', '0x102971cc8') #Both addresses are different
>>> i.append(4)
>>> j
>>> [1,2,3] #Updation of original list didn't affected copied variable
Nested list example using deepcopy:
>>> import copy
>>> i = [1,2,3,[4,5]]
>>> j = copy.deepcopy(i)
>>> hex(id(i)), hex(id(j))
>>> ('0x102b9b7c8', '0x102971cc8') #Both addresses are still different
>>> hex(id(i[3])), hex(id(j[3]))
>>> ('0x10296f908', '0x102b9b7c8') #Nested lists have different addresses
>>> i[3].append(6)
>>> j
>>> [1,2,3,[4,5]] #Updation of original nested list didn't affected the copied variable
回答 3
让我们在一个图形示例中查看如何执行以下代码:
import copy
classFoo(object):def __init__(self):pass
a =[Foo(),Foo()]
shallow = copy.copy(a)
deep = copy.deepcopy(a)
a, b, c, d, a1, b1, c1 and d1 are references to objects in memory, which are uniquely identified by their ids.
An assignment operation takes a reference to the object in memory and assigns that reference to a new name. c=[1,2,3,4] is an assignment that creates a new list object containing those four integers, and assigns the reference to that object to c. c1=c is an assignment that takes the same reference to the same object and assigns that to c1. Since the list is mutable, anything that happens to that list will be visible regardless of whether you access it through c or c1, because they both reference the same object.
c1=copy.copy(c) is a “shallow copy” that creates a new list and assigns the reference to the new list to c1. c still points to the original list. So, if you modify the list at c1, the list that c refers to will not change.
The concept of copying is irrelevant to immutable objects like integers and strings. Since you can’t modify those objects, there is never a need to have two copies of the same value in memory at different locations. So integers and strings, and some other objects to which the concept of copying does not apply, are simply reassigned. This is why your examples with a and b result in identical ids.
c1=copy.deepcopy(c) is a “deep copy”, but it functions the same as a shallow copy in this example. Deep copies differ from shallow copies in that shallow copies will make a new copy of the object itself, but any references inside that object will not themselves be copied. In your example, your list has only integers inside it (which are immutable), and as previously discussed there is no need to copy those. So the “deep” part of the deep copy does not apply. However, consider this more complex list:
e = [[1, 2],[4, 5, 6],[7, 8, 9]]
This is a list that contains other lists (you could also describe it as a two-dimensional array).
If you run a “shallow copy” on e, copying it to e1, you will find that the id of the list changes, but each copy of the list contains references to the same three lists — the lists with integers inside. That means that if you were to do e[0].append(3), then e would be [[1, 2, 3],[4, 5, 6],[7, 8, 9]]. But e1 would also be [[1, 2, 3],[4, 5, 6],[7, 8, 9]]. On the other hand, if you subsequently did e.append([10, 11, 12]), e would be [[1, 2, 3],[4, 5, 6],[7, 8, 9],[10, 11, 12]]. But e1 would still be [[1, 2, 3],[4, 5, 6],[7, 8, 9]]. That’s because the outer lists are separate objects that initially each contain three references to three inner lists. If you modify the inner lists, you can see those changes no matter if you are viewing them through one copy or the other. But if you modify one of the outer lists as above, then e contains three references to the original three lists plus one more reference to a new list. And e1 still only contains the original three references.
A ‘deep copy’ would not only duplicate the outer list, but it would also go inside the lists and duplicate the inner lists, so that the two resulting objects do not contain any of the same references (as far as mutable objects are concerned). If the inner lists had further lists (or other objects such as dictionaries) inside of them, they too would be duplicated. That’s the ‘deep’ part of the ‘deep copy’.
import copy
list1 =[['a','b','c'],['d','e',' f ']]# assigning a list
list2 = copy.copy(list1)# shallow copy is done using copy function of copy module
list1.append (['g','h','i'])# appending another list to list1print list1
list1 =[['a','b','c'],['d','e',' f '],['g','h','i']]
list2 =[['a','b','c'],['d','e',' f ']]
注意,list2仍然不受影响,但是如果我们对子对象进行更改,例如:
list1[0][0]='x’
那么list1和list2都将得到更改:
list1 =[['x','b','c'],['d','e',' f '],['g','h','i']]
list2 =[['x','b','c'],['d','e',' f ']]
import copy
list1 =[['a','b','c'],['d','e',' f ']]# assigning a list
list2 = deepcopy.copy(list1)# deep copy is done using deepcopy function of copy module
list1.append (['g','h','i'])# appending another list to list1print list1
list1 =[['a','b','c'],['d','e',' f '],['g','h','i']]
list2 =[['a','b','c'],['d','e',' f ']]
注意,list2仍然不受影响,但是如果我们对子对象进行更改,例如:
list1[0][0]='x’
那么list2也不受影响,因为所有子对象和父对象都指向不同的内存位置:
list1 =[['x','b','c'],['d','e',' f '],['g','h','i']]
list2 =[['a','b','c'],['d','e',' f ']]
In python, when we assign objects like list, tuples, dict, etc to another object usually with a ‘ = ‘ sign, python creates copy’s by reference. That is, let’s say we have a list of list like this :
then if we print list2 in python terminal we’ll get this :
list2 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] ]
Both list1 & list2 are pointing to same memory location, any change to any one them will result in changes visible in both objects, i.e both objects are pointing to same memory location.
If we change list1 like this :
Now coming to Shallow copy, when two objects are copied via shallow copy, the child object of both parent object refers to same memory location but any further new changes in any of the copied object will be independent to each other.
Let’s understand this with a small example. Suppose we have this small code snippet :
import copy
list1 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] ] # assigning a list
list2 = copy.copy(list1) # shallow copy is done using copy function of copy module
list1.append ( [ 'g', 'h', 'i'] ) # appending another list to list1
print list1
list1 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] , [ 'g', 'h', 'i'] ]
list2 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] ]
notice, list2 remains unaffected, but if we make changes to child objects like :
Now, Deep copy helps in creating completely isolated objects out of each other. If two objects are copied via Deep Copy then both parent & it’s child will be pointing to different memory location.
Example :
import copy
list1 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] ] # assigning a list
list2 = deepcopy.copy(list1) # deep copy is done using deepcopy function of copy module
list1.append ( [ 'g', 'h', 'i'] ) # appending another list to list1
print list1
list1 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] , [ 'g', 'h', 'i'] ]
list2 = [ [ 'a', 'b', 'c'] , [ 'd', 'e', ' f '] ]
notice, list2 remains unaffected, but if we make changes to child objects like :
list1[0][0] = 'x’
then also list2 will be unaffected as all the child objects and parent object points to different memory location :
Below code demonstrates the difference between assignment, shallow copy using the copy method, shallow copy using the (slice) [:] and the deepcopy. Below example uses nested lists there by making the differences more evident.
The GIST to take is this:
Dealing with shallow lists (no sub_lists, just single elements) using “normal assignment” rises a “side effect” when you create a shallow list and then you create a copy of this list using “normal assignment”. This “side effect” is when you change any element of the copy list created, because it will automatically change the same elements of the original list. That is when copy comes in handy, as it won’t change the original list elements when changing the copy elements.
On the other hand, copy does have a “side effect” as well, when you have a list that has lists in it (sub_lists), and deepcopy solves it. For instance if you create a big list that has nested lists in it (sub_lists), and you create a copy of this big list (the original list). The “side effect” would arise when you modify the sub_lists of the copy list which would automatically modify the sub_lists of the big list. Sometimes (in some projects) you want to keep the big list (your original list) as it is without modification, and all you want is to make a copy of its elements (sub_lists). For that, your solution is to use deepcopy which will take care of this “side effect” and makes a copy without modifying the original content.
The different behaviors of copy and deep copy operations concerns only compound objects (ie: objects that contain other objects such as lists).
Here are the differences illustrated in this simple code example:
First
let’s check how copy (shallow) behaves, by creating an original list and a copy of this list:
Not sure if it mentioned above or not, but it’s very importable to undestand that .copy() create reference to original object. If you change copied object – you change the original object.
.deepcopy() creates new object and does real copying of original object to new one. Changing new deepcopied object doesn’t affect original object.
And yes, .deepcopy() copies original object recursively, while .copy() create a reference object to first-level data of original object.
So the copying/referencing difference between .copy() and .deepcopy() is significant.
Deep copy is related to nested structures. If you have list of lists, then deepcopy copies the nested lists also, so it is a recursive copy. With just copy, you have a new outer list, but inner lists are references. Assignment does not copy.
For Ex
[[0, 1, 2, 3, 3], 4, 5]
[[0, 1, 2, 3, 3], 4, 5, 3]
Copy method copy content of outer list to new list but inner list is still same for both list so if you make changes in inner list of any lists it will affects both list.
But if you use Deep copy then it will create new instance for inner list too.
>>lst=[1,2,3,4,5]>>a=lst
>>b=lst[:]>>> b
[1,2,3,4,5]>>> a
[1,2,3,4,5]>>> lst is b
False>>> lst is a
True>>> id(lst)46263192>>> id(a)46263192------>See here id of a and id of lst is same so its called deep copy and even boolean answer is true
>>> id(b)46263512------>See here id of b and id of lst isnot same so its called shallow copy and even boolean answer is false although output looks same.
>>lst=[1,2,3,4,5]
>>a=lst
>>b=lst[:]
>>> b
[1, 2, 3, 4, 5]
>>> a
[1, 2, 3, 4, 5]
>>> lst is b
False
>>> lst is a
True
>>> id(lst)
46263192
>>> id(a)
46263192 ------> See here id of a and id of lst is same so its called deep copy and even boolean answer is true
>>> id(b)
46263512 ------> See here id of b and id of lst is not same so its called shallow copy and even boolean answer is false although output looks same.