Rock Music

From the 2001 Moscow Mathematical Olympiad:

Before you are three piles of stones. One contains 51 stones, one 49 stones, and one 5 stones. On each move you can either combine two piles into one or divide any pile with an even number of stones into two equal piles. Is it possible to end up with 105 piles, each containing a single stone?

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An Invitation

On Nov. 25, 1862, Abraham Lincoln sent this dispatch to Gen. Ambrose Burnside at Aquia Creek, Va.:

Can Inn Ale me withe 2 oar our Ann pas Ann me flesh ends NV Corn Inn out with U cud Inn heaven day nest Wed roe Moore Tom darkey hat Greek Why Hawk of abbott Inn B chewed I if.

What did it mean?

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Dictation

http://commons.wikimedia.org/wiki/File:Richard_Pigott_Vanity_Fair_9_March_1889.jpg

In 1887, Irish journalist Richard Pigott sold a series of letters to the Times of London. Purportedly written by Irish Parliamentary Party leader Charles Parnell, they seemed to show that Parnell had approved of a savage political assassination five years earlier. Parnell denounced the letters as a “villainous and bare-faced forgery.”

In the ensuing investigation, Parnell’s attorney asked Pigott to write a series of words and submit them to the court:

livelihood
likelihood
Richard Pigott
proselytism
Patrick Egan
P. Egan
hesitency

What was the point of this?

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Buoy Howdy

From Russian puzzle maven Boris Kordemsky:

Two diesel ships leave a pier at the same time. One travels upstream, the other downstream, each with the same motive power. As they depart, one drops a lifebuoy into the water. An hour later, both ships reverse course. Which will reach the buoy first?

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Square Dance

paint scheme puzzle

From the 2001 Moscow Mathematical Olympiad:

Two stones, one black and one white, are placed on a chessboard. A move consists of moving one stone up, down, left, or right. The two stones may not occupy the same square. Does a sequence of moves exist that will produce every possible arrangement of the stones, each occurring exactly once?

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