# Intuition i.e. what my smooth brain needs

TL;DR – go read this Probability Theory primer by Michael Betancourt https://betanalpha.github.io/assets/case_studies/probability_theory.html

I spent the past month or so struggling with the measure theoretic foundations of probability theory. What the heck are sigma algebras? Nothing I read really landed with the dozen or so brain cells I have dedicated to mathematics. You may rightly ask what could possible work with such little mental capacity.

From the shockingly limited learning I’ve somehow accomplished to date, I’ve made a couple far-reaching and likely false generalizations that fit my world view:

1) Every key insight can be explained simply given the correct framework.

2) Any esoteric notation or concept has an underlying motivation that can be simply explained.

My hope is that I can find those simple explanations for everything I care to learn. Sir Dr. Betancourt’s excellent exposition checked those boxes for me. Whether or not that translates into a workable grasp of these concepts is left to be determined.

# Do I really need a domain name for every crappy idea that crosses my mind?

No but we all have our vices. After getting soundly trounced in a puzzlehunt, I took some of that frustrated energy and channeled it into https://autoideate.com. Right now it only highlights random portions of the input text. I had grand visions of automated rearrangements of words, pattern recognition, association building etc. Of course all of that fell by the wayside as life moved on.

Now my favorite personal use case is to fill the entire screen with “-” characters and watch the light show.

# Silly Security 2: Chroot Jail

I am not a security professional or expert. I’m an average guy just learning and trying stuff out.

Picking up from last post, we have a couple things setup.

1. Entry user “somebody” with limited capabilities (no file system write access, etc)
2. A user we want to user: “intendeduser”
3. Remote ssh is allowed for “somebody”, but only local ssh is enabled for “intendeduser”

### Least Privilege

Why give “somebody” more access than required? The user’s only purpose is to serve as a staging area for access to the intended user. As of now, “somebody” can scan through most of the file system and explore other users’ home directories.

What is the minimum set of capabilities “somebody” requires?

SSH.

### Chroot Jail

The plan is to force “somebody” into a modified jail environment using chroot. Chroot is an operation that changes the apparent root directory of a user.

My goal is to create a jail environment that allows nothing but SSH.

### Implementation

I followed the steps from: http://allanfeid.com/content/creating-chroot-jail-ssh-access

• Only copied over the bash and ssh binaries
• Bound /dev/tty and /dev/urandom to their jail equivalents

The final step was crucial. I struggled for almost an hour trying to debug ssh. The key was to copy over strace and use it to slowly determine and satisfy the missing dependencies.

I discovered several missing libraries through strace, but the most difficult step was diagnosing the need for /dev/tty.

When all else seemed to be working, ssh would exit with:
``` Could not create directory '/nonexistent/.ssh'. The authenticity of host 'localhost (127.0.0.1)' can't be established. ```

The program exited without prompting for a password. A smarter man would’ve known that /dev/tty is required for the prompt.

Don’t make the same mistakes I did.

In light of the Bash vulnerability or “ShellShock”, I decided to upgrade some of my servers to 14.04. I started with nextcode. I opened a terminal on my local machine, ssh’d in, and ran do-release-upgrade. Unfortunately, I forgot about class at 2:30pm.

The thing about Ubuntu release upgrades is they often prompt you for manual confirmation: “do you want to replace bla.conf? yN?”. I wanted to be able to respond to these requests while on campus. This would be trivial if I had originally ssh’d and opened a tmux session, which I didn’t.

No worries. I’ll suspend and background the upgrade process, open a new connection in tmux and let that shell take ownership of the process. Ez-Pz. So I do this, up to the final glorious step where the new shell would inherit the fragile process.

\$ reptyr 1234

Hmm… I’ll just install it.

\$ sudo apt-get install reptyr

\$ [EXPLOSION]

Oops, dpkg is in the process of a distro upgrade. Uhh wait if I just kill the process, I’m sure I’ll be able to rerun do-release-upgrade and pick up where I left off, right? (Young and naive Michael, so full of hope in this world).

\$ kill -9 ….

(No new releases found).

Rest in peace, looks like I’ve successfully completed a partial upgrade to 14.04. After running sudo dpkg -a configure, which seemed to finish the installation of 14.04 packages, nextcode is behaving quite strangely. Word on the street is a clean install might be scheduled.

# Page Tables

After ripping through the 6.828 lab that I so greatly feared (in 4 hours, too), I feel like I understand page tables. In fact, I could become a page table. I would be accepted into their ranks, translating linear addresses and handling permissions.

I think 6.828 is growing on me.

# Comparisons

Today we hosted a NextCode event: a head-to-head coding competition. Two people competed on the spot in the TFL, close to the TV wall where we could use the projector. We displayed each competitors code on monitors (mine and Kevin’s) for the audience to appreciate. Overall, it was great fun and attracted quite a crowd at times. However, the focus of this post is on the last round, where an impressive code and his friends joined the fray.

We picked an annoying problem (shortest path in a maze) and let them at it. It was clear that one coder had extensive IOI, USACO experience. He whipped out Dijkstra’s in a few minutes but got a WA. Kevin jumped in to race him and we had a proper fight. Both produced code like a fountain, but couldn’t get the elusive “pass”. As this was happening, one of the inexperienced friends wrote a one-liner which randomly guessed an answer in the range (1-20). The focus was still heavily on the two coding giants banging away on their keyboards.

Kevin transitioned to VIM and the suspense became tangible. The guest coder was still getting WA and after copy-pasting his elegant code, so did Kevin. Then suddenly, on his 60th submission the one-line hero got a “pass”. WHAT, everyone went crazy. The atmosphere loosened up; everyone was smiling and laughing again. More than anything, I think people were just happy the seriousness was gone.

The guest coder was clearly miffed. He began by blaming our test cases, then moved to interrogating Kevin. IOI, IMO, IPho? Did you do TopCoder? Oh, CodeChef? The classic “size-up”. I remember this feeling all too well from my freshman year. Young and insecure, we come into MIT constantly making comparisons. This kid was clearly brilliant, but desperately wanted to demonstrate it. Interview questions, math puzzles, coding challenges; we constantly look to prove ourselves in such small ways. When I say “we”, I really mean me. The “me” from freshman year and even the current “me”. Events like screwing up an ACM round or not getting a brain-teaser used to eat into my self-esteem.

I’m better now though. I lose and I let go. Not always, but far more often now. It’s just a matter of perspective (and ego reduction), but it requires constant and deliberate effort.