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dd� Zdd� Zdd � Zd d � Zd d � Zd!d"� ZG d#d$� d$�ZejG d%d&� d&e��ZejG d'd(� d(e��ZG d)d*� d*�ZG d+d,� d,ee�ZG d-d.� d.e�ZG d/d0� d0ee�ZG d1d2� d2�Z e e_ G d3d4� d4�Z G d5d6� d6e e�Z G d7d8� d8e �Z G d9d:� d:e e�Z!G d;d<� d<�Z"e"e _ dS )>z�A fast, lightweight IPv4/IPv6 manipulation library in Python.
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rF Y nX td| ��dS )a� Take an IP string/int and return an object of the correct type.
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IPv6 addresses may be supplied; integers less than 2**32 will
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address
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ValueError��addressr
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ip_address s
�r Tc C s\ z t | |�W S ttfk
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rJ Y nX td| ��dS )a� Take an IP string/int and return an object of the correct type.
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be considered to be IPv4 by default.
Returns:
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address. Or if the network has host bits set.
z0%r does not appear to be an IPv4 or IPv6 networkN)� IPv4Networkr r � IPv6Networkr )r �strictr
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r �
ip_network9 s �r c C sX z
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rF Y nX td| ��dS )ag Take an IP string/int and return an object of the correct type.
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address: A string or integer, the IP address. Either IPv4 or
IPv6 addresses may be supplied; integers less than 2**32 will
be considered to be IPv4 by default.
Returns:
An IPv4Interface or IPv6Interface object.
Raises:
ValueError: if the string passed isn't either a v4 or a v6
address.
Notes:
The IPv?Interface classes describe an Address on a particular
Network, so they're basically a combination of both the Address
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IPv4Interfacer r �
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r
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�r c C s0 z| � dd�W S tk
r* td��Y nX dS )a` Represent an address as 4 packed bytes in network (big-endian) order.
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� �bigz&Address negative or too large for IPv4N��to_bytes�
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r
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r! c C s* t | ��d�}t|�dkr&td| ��|S )zAHelper to split the netmask and raise AddressValueError if needed�/� z Only one '/' permitted in %r)�str�split�lenr )r �addrr
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r
r �_find_address_range� s
r2 c C s$ | dkr |S t || | d @ �� �S )z�Count the number of zero bits on the right hand side.
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bit_length)Znumber�bitsr
r
r �_count_righthand_zero_bits� s r6 c c s� t | t�rt |t�s td��| j|jkr8td| |f ��| |krHtd��| jdkrXt}n| jdkrht}ntd��| j}| j}|j}||kr�t t
||�|| d � � d �}|||| f�}|V |d|> 7 }|d |j kr�q�q�dS ) a� Summarize a network range given the first and last IP addresses.
Example:
>>> list(summarize_address_range(IPv4Address('192.0.2.0'),
... IPv4Address('192.0.2.130')))
... #doctest: +NORMALIZE_WHITESPACE
[IPv4Network('192.0.2.0/25'), IPv4Network('192.0.2.128/31'),
IPv4Network('192.0.2.130/32')]
Args:
first: the first IPv4Address or IPv6Address in the range.
last: the last IPv4Address or IPv6Address in the range.
Returns:
An iterator of the summarized IPv(4|6) network objects.
Raise:
TypeError:
If the first and last objects are not IP addresses.
If the first and last objects are not the same version.
ValueError:
If the last object is not greater than the first.
If the version of the first address is not 4 or 6.
z1first and last must be IP addresses, not networks�%%s and %s are not of the same versionz*last IP address must be greater than firstr � zunknown IP versionr) N)
�
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r
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� �
� r@ c c s� t | �}i }|rV|�� }|�� }|�|�}|dkr<|||< q ||kr ||= |�|� q d}t|�� �D ]$}|dk r�|j|jkr�qf|V |}qfdS )au Loops through the addresses, collapsing concurrent netblocks.
Example:
ip1 = IPv4Network('192.0.2.0/26')
ip2 = IPv4Network('192.0.2.64/26')
ip3 = IPv4Network('192.0.2.128/26')
ip4 = IPv4Network('192.0.2.192/26')
_collapse_addresses_internal([ip1, ip2, ip3, ip4]) ->
[IPv4Network('192.0.2.0/24')]
This shouldn't be called directly; it is called via
collapse_addresses([]).
Args:
addresses: A list of IPv4Network's or IPv6Network's
Returns:
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passed.
N)�list�pop�supernet�get�append�sorted�values�broadcast_address)r- Zto_merge�subnetsr? rC Zexistingr0 r
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rJ c C s0 g }g }g }| D ]�}t |t�rR|rF|d j|jkrFtd||d f ��|�|� q|j|jkr�|r�|d j|jkr�td||d f ��z|�|j� W q� tk
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t||�� �qt|| �S )a� Collapse a list of IP objects.
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collapse_addresses([IPv4Network('192.0.2.0/25'),
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[IPv4Network('192.0.2.0/24')]
Args:
addresses: An iterator of IPv4Network or IPv6Network objects.
Returns:
An iterator of the collapsed IPv(4|6)Network objects.
Raises:
TypeError: If passed a list of mixed version objects.
���r7 )r9 r: �_versionr; rE �
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� � � rR c C s( t | t�r| �� S t | t�r$| �� S tS )a2 Return a key suitable for sorting between networks and addresses.
Address and Network objects are not sortable by default; they're
fundamentally different so the expression
IPv4Address('192.0.2.0') <= IPv4Network('192.0.2.0/24')
doesn't make any sense. There are some times however, where you may wish
to have ipaddress sort these for you anyway. If you need to do this, you
can use this function as the key= argument to sorted().
Args:
obj: either a Network or Address object.
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appropriate key.
)r9 � _BaseNetwork�_get_networks_keyr: �_get_address_key�NotImplemented)�objr
r
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rX c @ s� e Zd ZdZdZedd� �Zedd� �Zedd� �Zed d
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c C s | � � S )z:Return the longhand version of the IP address as a string.)� _explode_shorthand_ip_string��selfr
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r �exploded� s z_IPAddressBase.explodedc C s t | �S )z;Return the shorthand version of the IP address as a string.�r$ r[ r
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compressed� s z_IPAddressBase.compressedc C s | � � S )aI The name of the reverse DNS pointer for the IP address, e.g.:
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'1.0.0.127.in-addr.arpa'
>>> ipaddress.ip_address("2001:db8::1").reverse_pointer
'1.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.0.8.b.d.0.1.0.0.2.ip6.arpa'
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r
r �reverse_pointer� s z _IPAddressBase.reverse_pointerc C s dt | �f }t|��d S )Nz %200s has no version specified��type�NotImplementedError�r\ �msgr
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�z!_IPAddressBase._check_int_addressc C s. t |�}||kr*d}t||||| jf ��d S )Nz6%r (len %d != %d) is not permitted as an IPv%d address)r& r rL )r\ r Z expected_lenZ address_lenrf r
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r �_check_packed_address� s �z$_IPAddressBase._check_packed_addressc C s | j | j |? A S )z�Turn the prefix length into a bitwise netmask
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r
r �_ip_int_from_prefix� s z"_IPAddressBase._ip_int_from_prefixc C s\ t || j�}| j| }||? }d|> d }||krX| jd }|�|d�}d}t|| ��|S )a Return prefix length from the bitwise netmask.
Args:
ip_int: An integer, the netmask in expanded bitwise format
Returns:
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r) � r z&Netmask pattern %r mixes zeroes & ones)r6 r= r r ) ri �ip_intZtrailing_zeroesrj Z leading_onesZall_onesZbyteslenZdetailsrf r
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z"_IPAddressBase._prefix_from_ip_intc C s d| }t |�d �d S )Nz%r is not a valid netmask)r )ri Z netmask_strrf r
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r �_report_invalid_netmask� s z&_IPAddressBase._report_invalid_netmaskc C sl |� � r|�� s| �|� z t|�}W n tk
rD | �|� Y nX d| kr\| jkshn | �|� |S )a Return prefix length from a numeric string
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r )�isascii�isdigitro �intr r= )ri Z
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r, | �|� Y nX z | �|�W S tk
rN Y nX || jN }z | �|�W S tk
r� | �|� Y nX dS )a Turn a netmask/hostmask string into a prefix length
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ip_str: The netmask/hostmask to be converted
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N)�_ip_int_from_stringr ro rn r r> )ri �ip_strrm r
r
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z%_IPAddressBase._prefix_from_ip_stringc C sH t |ttf�r|| jfS t |t�s*t|�}t|�dkr:|S |d | jfS )z�Helper function to parse address of Network/Interface.
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(addr, prefix) tuple.
r) r )r9 �bytesrr r= �tupler( r& )ri r r
r
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z!_IPAddressBase._split_addr_prefixc C s | j t| �ffS �N)� __class__r$ r[ r
r
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__reduce__/ s z_IPAddressBase.__reduce__N)r r r r � __slots__�propertyr] r_ ra r< rg rh � classmethodrk rn ro rs rv ry r| r
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rY c @ sd e Zd ZdZdZdd� Zdd� Zdd� Zd d
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r
c C s | j S rz �r, r[ r
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r �__int__> s z_BaseAddress.__int__c C s8 z| j |j ko| j|jkW S tk
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r
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�z_BaseAddress.__eq__c C sF t |t�stS | j|jkr*td| |f ��| j|jkrB| j|jk S dS �Nr7 F)r9 r: rV rL r; r, r� r
r
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� z_BaseAddress.__lt__c C s t |t�stS | �t| �| �S rz �r9 rr rV r{ r� r
r
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z_BaseAddress.__add__c C s t |t�stS | �t| �| �S rz r� r� r
r
r �__sub__Y s
z_BaseAddress.__sub__c C s d| j jt| �f S �Nz%s(%r)�r{ r r$ r[ r
r
r �__repr__^ s z_BaseAddress.__repr__c C s t | �| j��S rz )r$ �_string_from_ip_intr, r[ r
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r �__str__a s z_BaseAddress.__str__c C s t tt| j���S rz )�hash�hexrr r, r[ r
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r rU g s z _BaseAddress._get_address_keyc C s | j | jffS rz )r{ r, r[ r
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r r| j s z_BaseAddress.__reduce__N)r r r r r} r� r� r� r� r� r� r� r� rU r| r
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dd� Z dd� Z dd� Z
ejdd� �Zejdd� �Zedd� �Zed d � �Zed d � �Zed d!� �Zed"d#� �Zed$d%� �Zd&d'� Zd(d)� Zd*d+� ZdFd.d/�Z dGd0d1�Z ed2d3� �Z e d4d5� �Z d6d7� Z!d8d9� Z"ed:d;� �Z#ed<d=� �Z$ed>d?� �Z%ed@dA� �Z&edBdC� �Z'edDdE� �Z(d-S )HrS z}A generic IP network object.
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c C s d| j jt| �f S r� r� r[ r
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r r� v s z_BaseNetwork.__repr__c C s d| j | jf S �N�%s/%d)rO rj r[ r
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r r� y s z_BaseNetwork.__str__c c s8 t | j�}t | j�}t|d |�D ]}| �|�V q"dS )z�Generate Iterator over usable hosts in a network.
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r) N�rr rO rH �range�_address_class�r\ �network� broadcast�xr
r
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z_BaseNetwork.hostsc c s8 t | j�}t | j�}t||d �D ]}| �|�V q"d S �Nr) r� r� r
r
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z_BaseNetwork.__iter__c C sl t | j�}t | j�}|dkr>|| |kr0td��| �|| �S |d7 }|| |k rZtd��| �|| �S d S )Nr zaddress out of ranger) )rr rO rH �
IndexErrorr� )r\ �nr� r� r
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z_BaseNetwork.__getitem__c C s^ t |t�stS | j|jkr*td| |f ��| j|jkrB| j|jk S | j|jkrZ| j|jk S dS r� )r9 rS rV rL r; rO �netmaskr� r
r
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r
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z_BaseNetwork.__contains__c C s( | j |kp&| j|kp&|j | kp&|j| kS )z*Tell if self is partly contained in other.)rO rH r� r
r
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�z_BaseNetwork.overlapsc C s | � t| j�t| j�B �S rz )r� rr rO �hostmaskr[ r
r
r rH � s �z _BaseNetwork.broadcast_addressc C s | � t| j�| jA �S rz )r� rr r� r> r[ r
r
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r
r �with_prefixlen� s z_BaseNetwork.with_prefixlenc C s d| j | jf S �N�%s/%s)rO r� r[ r
r
r � with_netmask� s z_BaseNetwork.with_netmaskc C s d| j | jf S r� )rO r� r[ r
r
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with_hostmask� s z_BaseNetwork.with_hostmaskc C s t | j�t | j� d S )z&Number of hosts in the current subnet.r) )rr rH rO r[ r
r
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num_addresses� s z_BaseNetwork.num_addressesc C s dt | �f }t|��d S )Nz%%200s has no associated address classrb re r
r
r r� � s z_BaseNetwork._address_classc C s | j S rz )rM r[ r
r
r rj � s z_BaseNetwork.prefixlenc c s | j |j ks td| |f ��t|t�s2td| ��|�| �sLtd|| f ��|| krXdS |�d|j|jf �}| � � \}}||kr�||kr�|�|�r�|V |� � \}}qz|�|�r�|V |� � \}}qzt
d|||f ��qz||kr�|V n"||kr�|V nt
d|||f ��dS )a� Remove an address from a larger block.
For example:
addr1 = ip_network('192.0.2.0/28')
addr2 = ip_network('192.0.2.1/32')
list(addr1.address_exclude(addr2)) =
[IPv4Network('192.0.2.0/32'), IPv4Network('192.0.2.2/31'),
IPv4Network('192.0.2.4/30'), IPv4Network('192.0.2.8/29')]
or IPv6:
addr1 = ip_network('2001:db8::1/32')
addr2 = ip_network('2001:db8::1/128')
list(addr1.address_exclude(addr2)) =
[ip_network('2001:db8::1/128'),
ip_network('2001:db8::2/127'),
ip_network('2001:db8::4/126'),
ip_network('2001:db8::8/125'),
...
ip_network('2001:db8:8000::/33')]
Args:
other: An IPv4Network or IPv6Network object of the same type.
Returns:
An iterator of the IPv(4|6)Network objects which is self
minus other.
Raises:
TypeError: If self and other are of differing address
versions, or if other is not a network object.
ValueError: If other is not completely contained by self.
r7 z%s is not a network objectz%s not contained in %sNr� z3Error performing exclusion: s1: %s s2: %s other: %s) rL r; r9 rS � subnet_ofr r{ rO rj rI �AssertionError)r\ r� �s1�s2r
r
r �address_exclude� s@ $ �
�
��z _BaseNetwork.address_excludec C s` | j |j kr td| |f ��| j|jk r,dS | j|jkr<dS | j|jk rLdS | j|jkr\dS dS )a� Compare two IP objects.
This is only concerned about the comparison of the integer
representation of the network addresses. This means that the
host bits aren't considered at all in this method. If you want
to compare host bits, you can easily enough do a
'HostA._ip < HostB._ip'
Args:
other: An IP object.
Returns:
If the IP versions of self and other are the same, returns:
-1 if self < other:
eg: IPv4Network('192.0.2.0/25') < IPv4Network('192.0.2.128/25')
IPv6Network('2001:db8::1000/124') <
IPv6Network('2001:db8::2000/124')
0 if self == other
eg: IPv4Network('192.0.2.0/24') == IPv4Network('192.0.2.0/24')
IPv6Network('2001:db8::1000/124') ==
IPv6Network('2001:db8::1000/124')
1 if self > other
eg: IPv4Network('192.0.2.128/25') > IPv4Network('192.0.2.0/25')
IPv6Network('2001:db8::2000/124') >
IPv6Network('2001:db8::1000/124')
Raises:
TypeError if the IP versions are different.
z"%s and %s are not of the same typerK r) r )rL r; rO r� r� r
r
r �compare_networks6 s ! � z _BaseNetwork.compare_networksc C s | j | j| jfS )z�Network-only key function.
Returns an object that identifies this address' network and
netmask. This function is a suitable "key" argument for sorted()
and list.sort().
)rL rO r� r[ r
r
r rT f s z _BaseNetwork._get_networks_keyr) Nc c s� | j | jkr| V dS |dk rJ|| j k r0td��|dkr@td��|| j }|dk rZtd��| j | }|| jkr~td|| f ��t| j�}t| j�d }t| j�d |? }t|||�D ]}| �||f�}|V q�dS )a� The subnets which join to make the current subnet.
In the case that self contains only one IP
(self._prefixlen == 32 for IPv4 or self._prefixlen == 128
for IPv6), yield an iterator with just ourself.
Args:
prefixlen_diff: An integer, the amount the prefix length
should be increased by. This should not be set if
new_prefix is also set.
new_prefix: The desired new prefix length. This must be a
larger number (smaller prefix) than the existing prefix.
This should not be set if prefixlen_diff is also set.
Returns:
An iterator of IPv(4|6) objects.
Raises:
ValueError: The prefixlen_diff is too small or too large.
OR
prefixlen_diff and new_prefix are both set or new_prefix
is a smaller number than the current prefix (smaller
number means a larger network)
Nznew prefix must be longerr) �(cannot set prefixlen_diff and new_prefixr z prefix length diff must be > 0z0prefix length diff %d is invalid for netblock %s) rM r= r rr rO rH r� r� r{ ) r\ �prefixlen_diff�
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z_BaseNetwork.subnetsc C s� | j dkr| S |dk rB|| j kr(td��|dkr8td��| j | }| j| }|dk rftd| j|f ��| �t| j�t| j�|> @ |f�S )a� The supernet containing the current network.
Args:
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the network should be decreased by. For example, given a
/24 network and a prefixlen_diff of 3, a supernet with a
/21 netmask is returned.
Returns:
An IPv4 network object.
Raises:
ValueError: If self.prefixlen - prefixlen_diff < 0. I.e., you have
a negative prefix length.
OR
If prefixlen_diff and new_prefix are both set or new_prefix is a
larger number than the current prefix (larger number means a
smaller network)
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���z_BaseNetwork.supernetc C s | j jo| jjS �z�Test if the address is reserved for multicast use.
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r r� � s �z_BaseNetwork.is_reservedc C s | j jo| jjS �z�Test if the address is reserved for link-local.
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)rO �
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r r� � s �z_BaseNetwork.is_link_localc C s | j jo| jjS )z�Test if this address is allocated for private networks.
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)rO �
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r r� s �z_BaseNetwork.is_privatec C s | j S )z�Test if this address is allocated for public networks.
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)rO � is_loopbackrH r[ r
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r
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rh | �|�}Y nX t| � |��}||f| j |< | j | S �a Make a (netmask, prefix_len) tuple from the given argument.
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�Address cannot be empty�.r zExpected 4 octets in %rr �%s in %rN)r r% r& rr �
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zEmpty octet not permittedz#Only decimal digits permitted in %r� z$At most 3 characters permitted in %r�0r z%Leading zeros are not permitted in %r�
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or, more generally
IPv4Address(int(IPv4Address('192.0.2.1'))) ==
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Nr r r" �Unexpected '/' in %r�
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)r� �_unspecified_addressr[ r
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)r� �_loopback_networkr[ r
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�r� �_linklocal_networkr[ r
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dS ) r ae This class represents and manipulates 32-bit IPv4 network + addresses..
Attributes: [examples for IPv4Network('192.0.2.0/27')]
.network_address: IPv4Address('192.0.2.0')
.hostmask: IPv4Address('0.0.0.31')
.broadcast_address: IPv4Address('192.0.2.32')
.netmask: IPv4Address('255.255.255.224')
.prefixlen: 27
Tc s� | � |�\� }t� �| _| �|�\| _| _t| j�}|t| j�@ |krl|rXtd| ��nt|t| j�@ �| _| j| jd kr�| j | _
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dS )a Instantiate a new IPv4 network object.
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'192.0.2.0/24'
'192.0.2.0/255.255.255.0'
'192.0.2.0/0.0.0.255'
are all functionally the same in IPv4. Similarly,
'192.0.2.1'
'192.0.2.1/255.255.255.255'
'192.0.2.1/32'
are also functionally equivalent. That is to say, failing to
provide a subnetmask will create an object with a mask of /32.
If the mask (portion after the / in the argument) is given in
dotted quad form, it is treated as a netmask if it starts with a
non-zero field (e.g. /255.0.0.0 == /8) and as a hostmask if it
starts with a zero field (e.g. 0.255.255.255 == /8), with the
single exception of an all-zero mask which is treated as a
netmask == /0. If no mask is given, a default of /32 is used.
Additionally, an integer can be passed, so
IPv4Network('192.0.2.1') == IPv4Network(3221225985)
or, more generally
IPv4Interface(int(IPv4Interface('192.0.2.1'))) ==
IPv4Interface('192.0.2.1')
Raises:
AddressValueError: If ipaddress isn't a valid IPv4 address.
NetmaskValueError: If the netmask isn't valid for
an IPv4 address.
ValueError: If strict is True and a network address is not
supplied.
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172.16.0.0/12z 192.0.0.0/29z192.0.0.170/31z 192.0.2.0/24z192.168.0.0/16z
198.18.0.0/15z198.51.100.0/24z203.0.113.0/24z 240.0.0.0/4z255.255.255.255/32z0.0.0.0N) r r r r r� r� r� r� r� r� r
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r� �:r� z At least %d parts expected in %rr� rK r� N�%xr � r) z!At most %d colons permitted in %rz At most one '::' permitted in %rr z0Leading ':' only permitted as part of '::' in %rz1Trailing ':' only permitted as part of '::' in %rz/Expected at most %d other parts with '::' in %rz,Exactly %d parts expected without '::' in %r) r r% r& r
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hextets: A list of strings, the hextets to compress.
Returns:
A list of strings.
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z$_BaseV6._explode_shorthand_ip_stringc C s& | j ddd� �dd�}d�|�d S )z�Return the reverse DNS pointer name for the IPv6 address.
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NrK r r r� z .ip6.arpa)r] �replacer� )r\ Z
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or, more generally
IPv6Address(int(IPv6Address('2001:db8::'))) ==
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r r� Q s zIPv6Address.is_link_localc C s | | j jkS �a` Test if the address is reserved for site-local.
Note that the site-local address space has been deprecated by RFC 3879.
Use is_private to test if this address is in the space of unique local
addresses as defined by RFC 4193.
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A boolean, True if the address is reserved per RFC 3513 2.5.6.
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r r� � s zIPv6Address.is_loopbackc C s | j d? dkrdS t| j d@ �S )z�Return the IPv4 mapped address.
Returns:
If the IPv6 address is a v4 mapped address, return the
IPv4 mapped address. Return None otherwise.
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Tuple of the (server, client) IPs or None if the address
doesn't appear to be a teredo address (doesn't start with
2001::/32)
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�zIPv6Address.teredoc C s$ | j d? dkrdS t| j d? d@ �S )z�Return the IPv4 6to4 embedded address.
Returns:
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address doesn't appear to contain a 6to4 embedded address.
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dd�Zdd� Zedd� �Z d S ) r av This class represents and manipulates 128-bit IPv6 networks.
Attributes: [examples for IPv6('2001:db8::1000/124')]
.network_address: IPv6Address('2001:db8::1000')
.hostmask: IPv6Address('::f')
.broadcast_address: IPv6Address('2001:db8::100f')
.netmask: IPv6Address('ffff:ffff:ffff:ffff:ffff:ffff:ffff:fff0')
.prefixlen: 124
Tc s� | � |�\� }t� �| _| �|�\| _| _t| j�}|t| j�@ |krl|rXtd| ��nt|t| j�@ �| _| j| jd kr�| j | _
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dS )a� Instantiate a new IPv6 Network object.
Args:
address: A string or integer representing the IPv6 network or the
IP and prefix/netmask.
'2001:db8::/128'
'2001:db8:0000:0000:0000:0000:0000:0000/128'
'2001:db8::'
are all functionally the same in IPv6. That is to say,
failing to provide a subnetmask will create an object with
a mask of /128.
Additionally, an integer can be passed, so
IPv6Network('2001:db8::') ==
IPv6Network(42540766411282592856903984951653826560)
or, more generally
IPv6Network(int(IPv6Network('2001:db8::'))) ==
IPv6Network('2001:db8::')
strict: A boolean. If true, ensure that we have been passed
A true network address, eg, 2001:db8::1000/124 and not an
IP address on a network, eg, 2001:db8::1/124.
Raises:
AddressValueError: If address isn't a valid IPv6 address.
NetmaskValueError: If the netmask isn't valid for
an IPv6 address.
ValueError: If strict was True and a network address was not
supplied.
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zIPv6Network.__init__c c s< t | j�}t | j�}t|d |d �D ]}| �|�V q&dS )z�Generate Iterator over usable hosts in a network.
This is like __iter__ except it doesn't return the
Subnet-Router anycast address.
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2001:db8::/32z 2001:10::/28zfc00::/7z::/8z100::/8z200::/7z400::/6z800::/5z1000::/4z4000::/3z6000::/3z8000::/3zA000::/3zC000::/3zE000::/4zF000::/5zF800::/6zFE00::/9z fec0::/10N) r r r r r� r� r� r# r% r
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