Computers encrypt digital information and allow people to collaborate across the globe. Computer science studies the theory behind mechanisms like these and the practical details needed to build them. See more
Sue is a coordinator for UPS, and she's planning out tomorrow's route. Her next assignment is a truck in New York City, which must make 99 deliveries while driving on the rectangular grid of the city's streets.
If the coordinates the driver must reach are found in this list (measured in block lengths), which of the following is the closest to the minimum distance the truck will need to travel (in blocks)?
How many combinations does Android 9 point unlock have?
Details and assumptions:
Each pattern must connect at least four dots.
The dots in the pattern must all be distinct.
If the line segment connecting any two consecutive dots in the pattern passes through any other dots, the other dots must have previously been in the pattern.
You have in your wallet $300, which you want to spend completely. You decide to spend all of it by buying food from a fancy restaurant with the following menu:
tofu scramble: $1 pancakes: $5 brunch combo: $20 saffron infused peach tea: $50 truffles: $100 caviar: $200
Let \(O\) be the number of different ways that you can spend exactly $300. What are the last 3 digits of \(O\)?
Several vaults were broken into last night! Police have strong evidence to believe that the culprit was the infamous Algorithmic Burglar - an efficient and swift robber.
7 different vaults were robbed. Police discovered that the vaults are missing the following amounts of metal: 1739 lbs, 72 lbs, 212 lbs, 55 lbs, 511 lbs, 1239 lbs, and 99 lbs.
Here are the weights and dollar values for the different bars in the vaults:
1 2 3 4 5 6 7 8 9 10 11 12
Before the robbery, each vault contained at least 2000 lbs of each metal. Assume the burglar stole whole bars, not fractions of a bar.
Let V be the greatest possible value in dollars of the stolen material. What are the last three digits of V?
Rows in my theater are made of some number of seats, densely packed from the aisle to the wall, thus having only one exit. As such, when someone needs to get up and out, everyone between that person and the aisle is also forced to get up and out - this can get very frustrating for customers in long rows! So, I've done some analysis, and here's what I've come up with:
I can fit 25 rows in my new theater. I want to make the rows as long as possible. How many seats long can I make all these rows, and still meet the customer satisfaction requirements I just outlined? All the rows must be the same size, of course.
Assume the theater is always full, don't worry about empty seats.
You should round down when computing 10% of customers. For a theater with 5 seats per row, 10% of customers = 12, not 13.