Blue-Eyed Island: A bunch of people are living on an island, when a visitor comes with a strange order: all blue-eyed people must leave the island as soon as possible. There will be a flight out at 8:00pm every evening. Each person can see everyone else's eye color, but they do not know their own (nor is anyone allowed to tell them). Additionally, they do not know how many people have blue eyes, although they do know that at least one person does. How many days will it take the blue-eyed people to leave?

Artificial Intelligence

Suppose you always eat a particular brand of cookies out of the standard-sized package it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. you decide when you purchase the next package, you'll eat 5 at a time but still, there's always one cookie left over. Since it really isn't helpful to always have a leftover cookie you decide to eat 7 at a time and there are no cookies leftover, but you do notice that in your last grab of 7 cookies, you're one cookie short

The National Bank of Erehwon handles money and maintains bank accounts on behalf of clients. A client is a person who does business with the bank. A client may have any number of accounts, and an account may belong to multiple clients (e.g., spouses, business partners). The client record is used for identification and contact data. For each account, the bank maintains the current balance on hand. Clients are identified by a five digit number starting with 10001. Accounts are identified by a seven digit number starting with 1000001. When an account is first opened, its balance is set to zero. During the course of day-to-day business, Erehwon Bank applies transactions to accounts, including deposits, withdrawals, bill payments, and debit purchases or returns. For each transaction, the date and time, amount, and account are recorded, along with reference data applicable to that type of transaction: Deposits and withdrawals require the branch number to be recorded.…