I have a new userpic, courtesy of a TV series. It might be a wee bit too scary looking.

Last night I had a series of dreams that I couldn't quite piece together. At the very end I was trying to decorate a bowl of rice--I lined a small bowl with saran wrap, stuffed it with rice, and flipped it over on to a plate to make a cute little mound. Then I wanted to squirt a squiggle of Sriracha sauce on top and garnish it with a sprig of mint. But somehow it turned into a mound of custard. puffy_wuffy and brief_life were involved in this epicurean madness but I don't remember how.

Upon waking up this gave me the inspiration of making a half-white-rice, half-brown-rice mound. It seems like too much effort without a special occasion though.

So there I was in the kitchen with a saucepan on the stove, pondering whether to make spicy stir-fried eggplant, when my mother came in with a sandwich-like concoction comprised of cheese, white bread with its crust removed, and some intriguing filling. I took a large bite and fell instantly in love with it. Then I woke up and felt an intense craving for food.

It was 3am when I had this dream, and I so wish I could remember what was in that sandwich.

I had trouble sleeping last night, because my mind drifted off to a problem, which I record below. I make no guarantees with respect to coherence :)

Say that you have a set of tuples (p, u, v), where p is a point on the x-y plane, u and v are positive integers, and u > v. One of the tuples is the origin tuple, (p₀, u₀, v₀), and no two tuples share the same point.

A run is a nonrepeating sequence of n such tuples (p_i, u_i, v_i), starting with the origin tuple, where any sum u₀ + v₁ + v₂ ... + v_i is at least u_i+1.

Let's say the length of the run is the sum of all the distances between adjacent p_i and p_i+1 points in the sequence, and the size of the run is the sum u₀ + v₁ + v₂ ... + v_n.

( the actual problem, maybe )

Then my head went "BA-NA-NA" and I decided I should forget about this and go to bed. Maybe I'm mad.