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  • Django and Reportlab Question

    - by Hellnar
    Hello, I have written this small Django view to return pdf. @login_required def code_view(request,myid): try: deal = Deal.objects.get(id=myid) except: raise Http404 header = deal.header code = deal.code response = HttpResponse(mimetype='application/pdf') response['Content-Disposition'] = 'attachment; filename=code.pdf' p = canvas.Canvas(response) p.drawString(10, 800, header) p.drawString(10, 700, code) p.showPage() p.save() return response And my questions: Utf-8 characters are not shown correctly within the pdf. How can I include an image ? How can I include a very basic html such as: . <ul> <li>List One</li> <li>List Two</li> <li>List Three</li> </ul>

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  • Apps not showing in Django admin site

    - by jack
    I have a Django project with about 10 apps in it. But the admin interface only shows Auth and Site models which are part of Django distribution. Yes, the admin interface is up and working but none of my self-written apps shows there. INSTALLED_APPS INSTALLED_APPS = ( 'django.contrib.auth', 'django.contrib.sites', 'django.contrib.contenttypes', 'django.contrib.humanize', 'django.contrib.sessions', 'django.contrib.admin', 'django.contrib.admindocs', 'project.app1', ... app1/admin.py from django.contrib import admin from project.app1.models import * admin.site.register(model1) admin.site.register(model2) admin.site.register(model3) What could be wrong in this case? Looks like everything is configured as what document says. Thank you in advance.

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  • Django Admin Page missing CSS

    - by super9
    I saw this question and recommendation from Django Projects here but still can't get this to work. My Django Admin pages are not displaying the CSS at all. This is my current configuration. settings.py ADMIN_MEDIA_PREFIX = '/media/admin/' httpd.conf <VirtualHost *:80> DocumentRoot /home/django/sgel ServerName ec2-***-**-***-***.ap-**********-1.compute.amazonaws.com ErrorLog /home/django/sgel/logs/apache_error.log CustomLog /home/django/sgel/logs/apache_access.log combined WSGIScriptAlias / /home/django/sgel/apache/django.wsgi <Directory /home/django/sgel/media> Order deny,allow Allow from all </Directory> <Directory /home/django/sgel/apache> Order deny,allow Allow from all </Directory> LogLevel warn Alias /media/ /home/django/sgel/media/ </VirtualHost> <VirtualHost *:80> ServerName sgel.com Redirect permanent / http://www.sgel.com/ </VirtualHost> In addition, I also ran the following to create (I think) the symbolic link ln -s /home/djangotest/sgel/media/admin/ /usr/lib/python2.6/site-packages/django/contrib/admin/media/ UPDATE In my httpd.conf file, User django Group django When I run ls -l in my /media directory drwxr-xr-x 2 root root 4096 Apr 4 11:03 admin -rw-r--r-- 1 root root 9 Apr 8 09:02 test.txt Should that root user be django instead? UPDATE 2 When I enter ls -la in my /media/admin folder total 12 drwxr-xr-x 2 root root 4096 Apr 13 03:33 . drwxr-xr-x 3 root root 4096 Apr 8 09:02 .. lrwxrwxrwx 1 root root 60 Apr 13 03:33 media -> /usr/lib/python2.6/site-packages/django/contrib/admin/media/ The thing is, when I navigate to /usr/lib/python2.6/site-packages/django/contrib/admin/media/, the folder was empty. So I copied the CSS, IMG and JS folders from my Django installation into /usr/lib/python2.6/site-packages/django/contrib/admin/media/ and it still didn't work

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  • (interactive) graph as in graph theory on a web page ?

    - by LB
    Hi, I have to integrate a graph with nodes and edges on a web page. Ideally, i would like to be able to interact with it (like moving the nodes around). Actually, i'm beginning by representing trees, so i would appreciate to be able to collapse subtrees. How can I do that ? I was considering google-visualization api but i wasn't able to find the kind of visualization i'm looking for (org chart doesn't allow to have multiple fathers, if i understood well) I've got no idea of the kind of technology so my tagging may not be really accurate :-). thanks

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  • Django: reverse lookup URL of feeds?

    - by Santa
    I am having trouble doing a reverse URL lookup for Django-generated feeds. I have the following setup in urls.py: feeds = { 'latest': LatestEntries, } urlpatterns = patterns('', # ... # enable feeds (RSS) url(r'^feeds/(?P<url>.*)/$', 'django.contrib.syndication.views.feed', {'feed_dict': feeds}, name='feeds_view'), ) I have tried using the following template tag: <a href="{% url feeds_view latest %}">RSS feeds</a> But the resulting link is not what want (http://my.domain.com/feeds//). It should be http://my.domain.com/feeds/latest/. For now, I am using a hack to generate the URL for the template: <a href="http://{{ request.META.HTTP_HOST }}/feeds/latest">RSS feeds</a> But, as you can see, it clearly is not DRY. Is there something I am missing?

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  • Edit nested dictionary with limited information

    - by user1082764
    How can i change the 'space' of 'albert' if i dont know if he is a donkey or a zebra? self.object_attr = {'donkey': { 'name': 'roger', 'zone': 'forrest', 'space': [0, 0]}{ 'name': 'albert', 'zone': 'forrest', 'space': [1, 1]} 'zebra': { 'name': 'roger', 'zone': 'forrest', 'space': [0, 0]}{ 'name': 'albert', 'zone': 'forrest', 'space': [1, 1]}} This can search for albert in the dictionary but how can i change his location? for i in self.object_attr for j in self.object_attr[x][name] if j == 'albert'

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  • Using scipy.interpolate.splrep function

    - by Koustav Ghosal
    I am trying to fit a cubic spline to a given set of points. My points are not ordered. I CANNOT sort or reorder the points, since I need that information. But since the function scipy.interpolate.splrep works only on non-duplicate and monotonically increasing points I have defined a function that maps the x-coordinates to a monotonically increasing space. My old points are: xpoints=[4913.0, 4912.0, 4914.0, 4913.0, 4913.0, 4913.0, 4914.0, 4915.0, 4918.0, 4921.0, 4925.0, 4932.0, 4938.0, 4945.0, 4950.0, 4954.0, 4955.0, 4957.0, 4956.0, 4953.0, 4949.0, 4943.0, 4933.0, 4921.0, 4911.0, 4898.0, 4886.0, 4874.0, 4865.0, 4858.0, 4853.0, 4849.0, 4848.0, 4849.0, 4851.0, 4858.0, 4864.0, 4869.0, 4877.0, 4884.0, 4893.0, 4903.0, 4913.0, 4923.0, 4935.0, 4947.0, 4959.0, 4970.0, 4981.0, 4991.0, 5000.0, 5005.0, 5010.0, 5015.0, 5019.0, 5020.0, 5021.0, 5023.0, 5025.0, 5027.0, 5027.0, 5028.0, 5028.0, 5030.0, 5031.0, 5033.0, 5035.0, 5037.0, 5040.0, 5043.0] ypoints=[10557.0, 10563.0, 10567.0, 10571.0, 10575.0, 10577.0, 10578.0, 10581.0, 10582.0, 10582.0, 10582.0, 10581.0, 10578.0, 10576.0, 10572.0, 10567.0, 10560.0, 10550.0, 10541.0, 10531.0, 10520.0, 10511.0, 10503.0, 10496.0, 10490.0, 10487.0, 10488.0, 10488.0, 10490.0, 10495.0, 10504.0, 10513.0, 10523.0, 10533.0, 10542.0, 10550.0, 10556.0, 10559.0, 10560.0, 10559.0, 10555.0, 10550.0, 10543.0, 10533.0, 10522.0, 10514.0, 10505.0, 10496.0, 10490.0, 10486.0, 10482.0, 10481.0, 10482.0, 10486.0, 10491.0, 10497.0, 10506.0, 10516.0, 10524.0, 10534.0, 10544.0, 10552.0, 10558.0, 10564.0, 10569.0, 10573.0, 10576.0, 10578.0, 10581.0, 10582.0] Plots: The code for the mapping function and interpolation is: xnew=[] ynew=ypoints for c3,i in enumerate(xpoints): if np.isfinite(np.log(i*pow(2,c3))): xnew.append(np.log(i*pow(2,c3))) else: if c==0: xnew.append(np.random.random_sample()) else: xnew.append(xnew[c3-1]+np.random.random_sample()) xnew=np.asarray(xnew) ynew=np.asarray(ynew) constant1=10.0 nknots=len(xnew)/constant1 idx_knots = (np.arange(1,len(xnew)-1,(len(xnew)-2)/np.double(nknots))).astype('int') knots = [xnew[i] for i in idx_knots] knots = np.asarray(knots) int_range=np.linspace(min(xnew),max(xnew),len(xnew)) tck = interpolate.splrep(xnew,ynew,k=3,task=-1,t=knots) y1= interpolate.splev(int_range,tck,der=0) The code is throwing an error at the function interpolate.splrep() for some set of points like the above one. The error is: File "/home/neeraj/Desktop/koustav/res/BOS5/fit_spline3.py", line 58, in save_spline_f tck = interpolate.splrep(xnew,ynew,k=3,task=-1,t=knots) File "/usr/lib/python2.7/dist-packages/scipy/interpolate/fitpack.py", line 465, in splrep raise _iermessier(_iermess[ier][0]) ValueError: Error on input data But for other set of points it works fine. For example for the following set of points. xpoints=[1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1629.0, 1630.0, 1630.0, 1630.0, 1631.0, 1631.0, 1631.0, 1631.0, 1630.0, 1629.0, 1629.0, 1629.0, 1628.0, 1627.0, 1627.0, 1625.0, 1624.0, 1624.0, 1623.0, 1620.0, 1618.0, 1617.0, 1616.0, 1615.0, 1614.0, 1614.0, 1612.0, 1612.0, 1612.0, 1611.0, 1610.0, 1609.0, 1608.0, 1607.0, 1607.0, 1603.0, 1602.0, 1602.0, 1601.0, 1601.0, 1600.0, 1599.0, 1598.0] ypoints=[10570.0, 10572.0, 10572.0, 10573.0, 10572.0, 10572.0, 10571.0, 10570.0, 10569.0, 10565.0, 10564.0, 10563.0, 10562.0, 10560.0, 10558.0, 10556.0, 10554.0, 10551.0, 10548.0, 10547.0, 10544.0, 10542.0, 10541.0, 10538.0, 10534.0, 10532.0, 10531.0, 10528.0, 10525.0, 10522.0, 10519.0, 10517.0, 10516.0, 10512.0, 10509.0, 10509.0, 10507.0, 10504.0, 10502.0, 10500.0, 10501.0, 10499.0, 10498.0, 10496.0, 10491.0, 10492.0, 10488.0, 10488.0, 10488.0, 10486.0, 10486.0, 10485.0, 10485.0, 10486.0, 10483.0, 10483.0, 10482.0, 10480.0] Plots: Can anybody suggest what's happening ?? Thanks in advance......

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  • Django MultiWidget Phone Number Field

    - by Birdman
    I want to create a field for phone number input that has 2 text fields (size 3, 3, and 4 respectively) with the common "(" ")" "-" delimiters. Below is my code for the field and the widget, I'm getting the following error when trying to iterate the fields in my form during initial rendering (it happens when the for loop gets to my phone number field): Caught an exception while rendering: 'NoneType' object is unsubscriptable class PhoneNumberWidget(forms.MultiWidget): def __init__(self,attrs=None): wigs = (forms.TextInput(attrs={'size':'3','maxlength':'3'}),\ forms.TextInput(attrs={'size':'3','maxlength':'3'}),\ forms.TextInput(attrs={'size':'4','maxlength':'4'})) super(PhoneNumberWidget, self).__init__(wigs, attrs) def decompress(self, value): return value or None def format_output(self, rendered_widgets): return '('+rendered_widgets[0]+')'+rendered_widgets[1]+'-'+rendered_widgets[2] class PhoneNumberField(forms.MultiValueField): widget = PhoneNumberWidget def __init__(self, *args, **kwargs): fields=(forms.CharField(max_length=3), forms.CharField(max_length=3), forms.CharField(max_length=4)) super(PhoneNumberField, self).__init__(fields, *args, **kwargs) def compress(self, data_list): if data_list[0] in fields.EMPTY_VALUES or data_list[1] in fields.EMPTY_VALUES or data_list[2] in fields.EMPTY_VALUES: raise fields.ValidateError(u'Enter valid phone number') return data_list[0]+data_list[1]+data_list[2] class AdvertiserSumbissionForm(ModelForm): business_phone_number = PhoneNumberField(required=True)

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  • Extending Django Flatpages to accept template tags

    - by Tristan
    I use django flatpages for a lot of content on our site, I'd like to extend it to accept django template tags in the content as well. I found this snippet but after much larking about I couldn't get it to work. Am I correct in assuming that you would need too "subclass" the django flatpages app to get this to work? Is this best way of doing it? I'm not quite sure how to structure it, as I don't really want to directly modify the django distribution.

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  • Using urllib2 with SOCKS proxy

    - by roddik
    Hello. Is it possible to fetch pages with urllib2 through a SOCKS proxy on a one socks server per opener basic? I've seen the solution using setdefaultproxy method, but I need to have different socks in different openers.

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  • Django models query

    - by Hulk
    Code: class criteria(models.Model): details = models.CharField(max_length = 512) Headerid = models.ForeignKey(Header) def __unicode__(self): return self.id() the details corresponds to a textarea in the UI and a validation is done for 512 characters but when this is saved. /home/project/django/django/core/handlers/base.py in get_response, line 109 Is this any thing related with schema or number of characters entered from UI

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  • Django User M2M relationship

    - by Antonio
    When trying to syncdb with the following models: class Contact(models.Model): user_from = models.ForeignKey(User,related_name='from_user') user_to = models.ForeignKey(User, related_name='to_user') class Meta: unique_together = (('user_from', 'user_to'),) User.add_to_class('following', models.ManyToManyField('self', through=Contact, related_name='followers', symmetrical=False)) I get the following error: Error: One or more models did not validate: auth.user: Accessor for m2m field 'following' clashes with related m2m field 'User.followers'. Add a related_name argument to the definition for 'following'. auth.user: Reverse query name for m2m field 'following' clashes with related m2m field 'User.followers'. Add a related_name argument to the definition for 'following'. auth.user: The model User has two manually-defined m2m relations through the model Contact, which is not permitted. Please consider using an extra field on your intermediary model instead. auth.user: Accessor for m2m field 'following' clashes with related m2m field 'User.followers'. Add a related_name argument to the definition for 'following'. auth.user: Reverse query name for m2m field 'following' clashes with related m2m field 'User.followers'. Add a related_name argument to the definition for 'following'.

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  • Urllib's urlopen breaking on some sites (e.g. StackApps api)

    - by Edan Maor
    I'm using urllib2's urlopen function to try and get a JSON result from the StackOverflow api. The code I'm using: >>> import urllib2 >>> conn = urllib2.urlopen("http://api.stackoverflow.com/0.8/users/") >>> conn.readline() The result I'm getting: '\x1f\x8b\x08\x00\x00\x00\x00\x00\x04\x00\xed\xbd\x07`\x1cI\x96%&/m\xca{\x7fJ\... I'm fairly new to urllib, but this doesn't seem like the result I should be getting. I've tried it in other places and I get what I expect (the same as visiting the address with a browser gives me: a JSON object). Using urlopen on other sites (e.g. "http://google.com") works fine, and gives me actual html. I've also tried using urllib and it gives the same result. I'm pretty stuck, not even knowing where to look to solve this problem. Any ideas?

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  • installing paramiko

    - by fixxxer
    This may sound like a repeated question on SF, but I could not find a clear answer to it, yet.So. I installed Paramiko 1.7 with "setup.py install" command and while running the demo.py program, I got this error: Traceback (most recent call last): File "C:\Documents and Settings\fixavier\Desktop\paramiko-1.7\demos\demo.py", line 33, in <module> import paramiko File "C:\Python26\lib\site-packages\paramiko\__init__.py", line 69, in <module> from transport import randpool, SecurityOptions, Transport File "C:\Python26\lib\site-packages\paramiko\transport.py", line 32, in <module> from paramiko import util File "C:\Python26\lib\site-packages\paramiko\util.py", line 31, in <module> from paramiko.common import * File "C:\Python26\lib\site-packages\paramiko\common.py", line 99, in <module> from Crypto.Util.randpool import PersistentRandomPool, RandomPool ImportError: No module named Crypto.Util.randpool I'm getting this error even after installing PyCrypto 2.1. On running test.py(which comes with the installation), I got the following error - Traceback (most recent call last): File "C:\Documents and Settings\fixavier\Desktop\pycrypto-2.0.1\pycrypto-2.0.1\test.py", line 18, in <module> from Crypto.Util import test File "C:\Documents and Settings\fixavier\Desktop\pycrypto-2.0.1\pycrypto-2.0.1\build/lib.win32-2.6\Crypto\Util\test.py", line 17, in <module> import testdata File "C:\Documents and Settings\fixavier\Desktop\pycrypto-2.0.1\pycrypto-2.0.1\test\testdata.py", line 450, in <module> from Crypto.Cipher import AES ImportError: cannot import name AES I don't have the confidence to go ahead and install AES after all this, for all I know I may get another ImportError! Please advice.Is it the way of installation thats problematic?

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  • How do I pass a lot of parameters to views in Django?

    - by Mark
    I'm very new to Django and I'm trying to build an application to present my data in tables and charts. Till now my learning process went very smooth, but now I'm a bit stuck. My pageview retrieves large amounts of data from a database and puts it in the context. The template then generates different html-tables. So far so good. Now I want to add different charts to the template. I manage to do this by defining <img src=".../> tags. The Matplotlib chart is generate in my chartview an returned via: response=HttpResponse(content_type='image/png') canvas.print_png(response) return response Now I have different questions: the data is retrieved twice from the database. Once in the pageview to render the tables, and again in the chartview for making the charts. What is the best way to pass the data, already in the context of the page to the chartview? I need a lot of charts, each with different datasets. I could make a chartview for each chart, but probably there is a better way. How do I pass the different dataset names to the chartview? Some charts have 20 datasets, so I don't think that passing these dataset parameters via the url (like: <imgm src="chart/dataset1/dataset2/.../dataset20/chart.png />) is the right way. Any advice?

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  • Django foreign key question

    - by Hulk
    All, i have the following model defined, class header(models.Model): title = models.CharField(max_length = 255) created_by = models.CharField(max_length = 255) def __unicode__(self): return self.id() class criteria(models.Model): details = models.CharField(max_length = 255) headerid = models.ForeignKey(header) def __unicode__(self): return self.id() class options(models.Model): opt_details = models.CharField(max_length = 255) headerid = models.ForeignKey(header) def __unicode__(self): return self.id() AND IN MY VIEWS I HAVE p= header(title=name,created_by=id) p.save() Now the data will be saved to header table .My question is that for this id generated in header table how will save the data to criteria and options table..Please let me know.. Thanks..

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  • LXML E builder for java?

    - by directedition
    There is one thing I really love about LXML, and that the E builder. I love that I can throw XML together like this: message = E.Person( E.Name( E.First("jack") E.Last("Ripper") ) E.PhoneNumber("555-555-5555") ) To make: <Person> <Name> <First>Jack</First> <Last>Ripper</Last> </Name> <PhoneNumber>555-555-5555</PhoneNumber> </Person> As opposed to the painstaking way DOM works. I am going to be moving a bunch of my software to Java soon and it is very very heavy on its usage of E. Does Java have anything near equivalent to that usage?

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  • How to parse the "<media:group>" using feedparser?

    - by Wayle.C
    The rss file is shown as below, i want to get the content in section media:group . I check the document of feedparser, but it seems not mention this. How to do it? Any help is appreciated. XYZ InfoX: Special hello http://www1.XYZInfoX.com/learninghello/home hello en Wed, 17 Mar 2010 08:50:06 GMT 2010-03-17T08:50:06Z en Voice of America http://www1.XYZInfoX.com/learninghello http://media.XYZInfoX.com/designimages/XYZRSSIcon.gif <item> <title>Who Were the Deadliest Gunmen of the Wild West?</title> <link>http://www1.XYZInfoX.com/learninghello/home/Deadliest-Gunmen-of-the-Wild-West-87826807.html</link> <description> The story of two of them: "Killin'" Jim Miller was an outlaw, "Texas" John Slaughter was a lawman | EXPLORATIONS </description> <pubDate>Wed, 17 Mar 2010 00:38:48 GMT</pubDate> <guid isPermaLink="false">87826807</guid> <dc:creator></dc:creator> <dc:date>2010-03-17T00:38:48Z</dc:date> *<media:group> <media:content url="http://media.XYZInfoX.com/images/archives_peace_comm_480_16mar_se.jpg" medium="image" isDefault="true" height="300" width="480" /> <media:content url="http://media.XYZInfoX.com/images/archives_peace_comm_230_16mar_se_edited-1.jpg" medium="image" isDefault="false" height="230" width="230" /> <media:content url="http://media.XYZInfoX.com/images/tex_trans_lawmans_230_16mar10_se.jpg" medium="image" isDefault="false" height="230" width="230" /> <media:content url="http://www.XYZInfoX.com/MediaAssets2/learninghello/dalet/se-exp-outlaws-part2-17mar2010.Mp3" type="audio/mpeg" medium="audio" isDefault="false" /> </media:group>* </item>

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  • Boto - How to delete a record set from route53 -Tried to delete resource record set but it was not found

    - by Tampa
    I am using the following to delete route53 records. I get no error messages. conn = Route53Connection(aws_access_key_id, aws_secret_access_key) changes = ResourceRecordSets(conn, zone_id) change = changes.add_change("DELETE",sub_domain, "A", 60,weight=weight,identifier=identifier) change.add_value(ip_old) changes.commit() all required fields are present and they match..weight, identifier, ttl=60 etc.\ e.g. test.com. A 111.111.111.111 60 1 id1 test.com. A 111.111.111.222 60 1 id2 I want to delete 111.111.111.222 and the record set. So, what is the proper way to delete a record set? For a record set, I will have multiple values that are distinguished by a unique identifier. When an ip address becomes in active I want to remove from route53. I am using a a poor mans load balancing. Here is the meta of the record want to delete. {'alias_dns_name': None, 'alias_hosted_zone_id': None, 'identifier': u'15754-1', 'name': u'hui.com.', 'resource_records': [u'103.4.xxx.xxx'], 'ttl': u'60', 'type': u'A', 'weight': u'1'} Traceback (most recent call last): File "/home/ubuntu/workspace/rtbopsConfig/classes/redis_ha.py", line 353, in <module> deleteRedisSubDomains(aws_access_key_id, aws_secret_access_key,platform=platform,sub_domain=sub_domain,redis_domain=redis_domain,zone_id=zone_id,ip_address=ip_address,weight=1,identifier=identifier) File "/home/ubuntu/workspace/rtbopsConfig/classes/redis_ha.py", line 341, in deleteRedisSubDomains changes.commit() File "/usr/local/lib/python2.7/dist-packages/boto-2.3.0-py2.7.egg/boto/route53/record.py", line 131, in commit return self.connection.change_rrsets(self.hosted_zone_id, self.to_xml()) File "/usr/local/lib/python2.7/dist-packages/boto-2.3.0-py2.7.egg/boto/route53/connection.py", line 291, in change_rrsets body) boto.route53.exception.DNSServerError: DNSServerError: 400 Bad Request <?xml version="1.0"?> <ErrorResponse xmlns="https://route53.amazonaws.com/doc/2011-05-05/"><Error><Type>Sender</Type><Code>InvalidChangeBatch</Code><Message>Tried to delete resource record set hui.com., type A, SetIdentifier 15754-1 but it was not found</Message></Error><RequestId>9972af89-cb69-11e1-803b-7bde5b9c457d</RequestId></ErrorResponse> Thanks

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  • django-admin - how to modify ModelAdmin to create multiple objects at once?

    - by skrobul
    let's assume that I have very basic model class Message(models.Model): msg = models.CharField(max_length=30) this model is registered with admin module: class MessageAdmin(admin.ModelAdmin): pass admin.site.register(Message, MessageAdmin) Currently when I go into the admin interface, after clicking "Add message" I have only one form where I can enter the msg. I would like to have multiple forms (formset perhaps) on the "Add page" so I can create multiple messages at once. It's really annoying having to click "Save and add another" every single time. Ideally I would like to achieve something like InlineModelAdmin but it turns out that you can use it only for the models that are related to the object which is edited. What would you recommend to use to resolve this problem?

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  • Diophantine Equation [closed]

    - by ANIL
    In mathematics, a Diophantine equation (named for Diophantus of Alexandria, a third century Greek mathematician) is a polynomial equation where the variables can only take on integer values. Although you may not realize it, you have seen Diophantine equations before: one of the most famous Diophantine equations is: X^n+Y^n=Z^n We are not certain that McDonald's knows about Diophantine equations (actually we doubt that they do), but they use them! McDonald's sells Chicken McNuggets in packages of 6, 9 or 20 McNuggets. Thus, it is possible, for example, to buy exactly 15 McNuggets (with one package of 6 and a second package of 9), but it is not possible to buy exactly 16 nuggets, since no non- negative integer combination of 6's, 9's and 20's adds up to 16. To determine if it is possible to buy exactly n McNuggets, one has to solve a Diophantine equation: find non-negative integer values of a, b, and c, such that 6a + 9b + 20c = n. Problem 1 Show that it is possible to buy exactly 50, 51, 52, 53, 54, and 55 McNuggets, by finding solutions to the Diophantine equation. You can solve this in your head, using paper and pencil, or writing a program. However you chose to solve this problem, list the combinations of 6, 9 and 20 packs of McNuggets you need to buy in order to get each of the exact amounts. Given that it is possible to buy sets of 50, 51, 52, 53, 54 or 55 McNuggets by combinations of 6, 9 and 20 packs, show that it is possible to buy 56, 57,..., 65 McNuggets. In other words, show how, given solutions for 50-55, one can derive solutions for 56-65. Problem 2 Write an iterative program that finds the largest number of McNuggets that cannot be bought in exact quantity. Your program should print the answer in the following format (where the correct number is provided in place of n): "Largest number of McNuggets that cannot be bought in exact quantity: n" Hints: Hypothesize possible instances of numbers of McNuggets that cannot be purchased exactly, starting with 1 For each possible instance, called n, a. Test if there exists non-negative integers a, b, and c, such that 6a+9b+20c = n. (This can be done by looking at all feasible combinations of a, b, and c) b. If not, n cannot be bought in exact quantity, save n When you have found six consecutive values of n that in fact pass the test of having an exact solution, the last answer that was saved (not the last value of n that had a solution) is the correct answer, since you know by the theorem that any amount larger can also be bought in exact quantity

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