Piet Hein's puzzles

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These are a few puzzles designed by Piet Hein. Their respective solutions can be found on Solutions to Piet Hein's puzzles.

Puzzles

Puzzle 1

Blue to play and win.

abcdefghijk1234567891011

Puzzle 2

Blue to play and win.

abc123

Puzzle 3

Blue to play and win.

abcdef123456

Puzzle 4

Blue to play and win.

abcd1234

Puzzle 5

Blue to play and win.

abcd1234

Puzzle 6

On the board of size 3 there are precisely two opening moves such that, with optimal play from both players, the board will be completely filled before the game is over. Which are the two opening moves?

Puzzle 7

Blue to play and win.

abcde12345

See also