Beginner Exercise 81 / Solution

White kills  

The clamp at kills.

Shortage of liberties  

Although onwards attempt to capture the White stone in a connect-and-die...

Shortage of liberties  

... Black finds himself unable to play the final atari at the circled point - it is a self-atari due to shortage of liberties.

Black descends  

If descends or plays at a, then connects out and Black is left with only one eye.

White doesn't kill  

is a mistake, because retreats and makes an eye at a. Note that at b is met by at leading to similar shape as the solution diagrams (though Black has some chances to escape via c).

White doesn't kill  

To further demonstrate why Black lives, should attempts to crawl in, then is an atari on . This requires White to connect at , allowing to make his second eye and thus saving the Black group.