Need help writing a Summation for this recurrence

I solved a recurrence to get the answer

T(n) = 1 + … + (n-4) + (n-2) + n

But I’m not sure how to finish off the problem with writing the summation and solving for the complexity.

Writing a linear program to model balanced bin packing

Say we want to write a (MI)LP to model the following problem:

Find a parking plan for a set of cars $$K=\{1, …, k\}$$ with lengths $$\lambda_i$$. Parking is organised in lanes $$P=\{1, …, p\}$$. The length of a lane is the sum of the cars parking there and may not exceed a specified constant $$L$$. The goal is to balance the lengths of the parking lanes as well as possible. More specifically, we want to minimise the difference of the length of a longest and shortest line.

To me, this seems quite akin to some variant of the Bin Packing problem. Usually, however, we want the number used bins to be minimised.

Here, I am quite confused on how I could come up with an objective function that expresses the balance between the lanes/bins. My main problem is that — as far as I understood it — the objective function has to be linear. Thus, I couldn’t use operations like max, min, absolute value etc.

Can someone help me out here with a hint?

Do best practices eliminate the need for a CSRF token when writing an API server?

I realize that OWASP recommends CSRF tokens but I rarely see them used with public standalone HTTP APIs. This would seem to indicate that they’re not always necessary.

To make this a little more concrete, I would envision the following scenario:

• The API server serves a limited number of frontends with an explicit CORS whitelist.

• HTTP method semantics are followed religiously (no writes in GET).

• All routes require authentication.

• All POST routes require a request body[1].

• All routes that take a request body require a JSON content-type header.

• Cookies are httpOnly but not sameSite.

Based on my understanding of SOP setting a JSON content-type header on requests should trigger a preflight request which would fail for untrusted origins. If all POST routes require a JSON content-type header, that should then mean they’ll always fail the preflight, leaving only GET requests.

So this would not mitigate CSRF attacks against GET routes but as these can’t be used for exfiltration (as SOP prevents the response from being read) and the GET routes should not cause any data modification, guarding these requests with CSRF tokens would not appear to make a practical difference.

Given how viciously some people defend CSRF tokens, I can’t shake the feeling I’m overlooking an obvious problem here. I realize redundant protections may be valuable in their own right, but what I’m trying to understand is whether in the scenario described the CSRF token would really be redundant or not.

[1]: I realise this might be a practical limitation of this approach as in some real-world APIs there are legitimate POST routes that don’t take a request body or there may be routes that need to take a content-type like form-data that won’t trigger a preflight.

Writing a non-deterministic Turing machine

I got an exercise in my college in which ive been asked to write a Non deterministic Turing Machine that accepts words of this form:

Ive manage to find some sort of solution but in a Deterministic way

Can Effect for SEO badly Writing Low Word Count Post

I know that word count isn’t a ranking factor.

Source: Is word count a large ranking factor for Google?

I am going to add a Question and Answer Section for my website.

Some questions like “Do meta keywords have any impact on ranking algorithms?”. The answer for this is very simple answer like “The fact is, neither Google nor Bing use meta keywords at all. And a link to the source.” There are lot of questions like above which can easily be answered within 100 words.

Having a lot of pages like above(50 – 200 words but answer the question perfectly) will bad impact for SEO?

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why I cannot, had trouble writing out superblocks

this hdd came out of an hp2000 with windows 8 pre installed. the notebook died and I always scavenge as many parts as possible. This time the drive is not cooperating, as I want to use it as a Linux drive 🙂

GParted 0.18.0 --enable-libparted-dmraid --enable-online-resize  Libparted 2.3 Create Primary Partition #1 (ext4, 298.09 GiB) on /dev/sda  00:16:42    ( ERROR )  create empty partition  00:00:00    ( SUCCESS )  path: /dev/sda1 start: 2048 end: 625141759 size: 625139712 (298.09 GiB) clear old file system signatures in /dev/sda1  00:00:04    ( SUCCESS )  write 68.00 KiB of zeros at byte offset 0  00:00:00    ( SUCCESS ) write 4.00 KiB of zeros at byte offset 67108864  00:00:00    ( SUCCESS ) write 4.00 KiB of zeros at byte offset 274877906944  00:00:00    ( SUCCESS ) write 4.00 KiB of zeros at byte offset 320071528448  00:00:00    ( SUCCESS ) flush operating system cache of /dev/sda  00:00:04    ( SUCCESS ) set partition type on /dev/sda1  00:00:00    ( SUCCESS )  new partition type: ext4 create new ext4 file system  00:16:38    ( ERROR )  mkfs.ext4 -L "" /dev/sda1  Filesystem label= OS type: Linux Block size=4096 (log=2) Fragment size=4096 (log=2) Stride=0 blocks, Stripe width=8191 blocks 19537920 inodes, 78142464 blocks 3907123 blocks (5.00%) reserved for the super user First data block=0 Maximum filesystem blocks=4294967296 2385 block groups 32768 blocks per group, 32768 fragments per group 8192 inodes per group Superblock backups stored on blocks: 32768, 98304, 163840, 229376, 294912, 819200, 884736, 1605632, 2654208, 4096000, 7962624, 11239424, 20480000, 23887872, 71663616  Allocating group tables: done Writing inode tables: done Creating journal (32768 blocks): done Writing superblocks and filesystem accounting information: 2/2385 mke2fs 1.42.9 (4-Feb-2014)  Warning, had trouble writing out superblocks. 

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