13 September 2013

Chessboard puzzle

Send a personal message on FB- not comments if you are sending an answer. All smart Alec comments can come in the comments section though đŸ™‚

Imagine a chessboard – with your usual 8 by 8 = 64 squares. Say the squares are one inch by one inch each. Now imagine rectangular blocks that are one inch by two inches each. So, any rectangular block can cover 2 adjacent squares on the chessboard.
You have to fill up the chessboard with the rectangular blocks without any rectangle spilling outside the board. They are allowed to overlap on each other though.

What is the minimum number of rectangular blocks required to fill up the whole chessboard? That is 32 of course.

Okay, now imagine that I tore off one of the corner squares on that chessboard. And I went ahead and tore off the corner square that is diagonally on the other end of the board. So, now I have a chessboard with two farthest corner squares missing.

Now, tell me how many minimum rectangular blocks are required to cover the whole board (that has only 62 squares now). You are allowed to overlap but cannot spill outside the board.

Even trickier – what is the minimum number of blocks required if you CANNOT overlap or spill outside either?

Category: Puzzles | 8 Comments on Chessboard puzzle
13 September 2013

Sleepless in Raleigh

Woke up at 4 am to catch a 6 am flight from Raleigh to Atlanta. Made it comfortably to the airport. Breezed thru TSA Pre. Sat in the plane. Got my coffee. All the passengers were boarded. And suddenly I got a notification from Delta on my iPhone that the flight has been delayed by 30 minutes.
The pilot came on to the PA and greeted us. I am like – does he even know that we are delayed? (I assumed ground control crew or weather issue).
Then he came on again and explained that a piece of equipment is not working. It is a third level backup though. But without it he is not allowed to fly in the dark or thru clouds!!!
So the mechanics are coming to see how quickly it can be fixed.
Except the mechanics are coming from Atlanta!!!!
And he canceled the flight!!!
As I was disembarking, Delta sent me another helpful message – the flight has been delayed by another 15 minutes!! Go figure.
Too sleepy to drive back to Atlanta, decided to take the next flight couple of hours later. Waiting in Skyclub now, tired and sleepy wondering what the the next adventure in the upcoming flight will be.

Category: Travelogs | 6 Comments on Sleepless in Raleigh