AtariGoProblem1/Solution

A daring invasion  

White starts with a daring 3-2 point invasion. Black must play because if White plays there she has a large enough eye in the corner. has to move outside and not into the corner because then Black plays and kills. Black now has 3 ways to resist

First resistance

Black plays a  

is the weakest resistance. It protects the corner but leaves the side wide open. White jumps and plays hane-tsugi in sente and lives with .

Second resistance

Black plays b  

protects the side but leaves to much cutting points. After the are miai and White will capture some stones.

Third resistance

Black plays c  

offers the strongest resistance. White forces with - and then plays . Note that Black can never play at so White can play there whenever she wants.

Black plays c  

Therefore Black has to play in an attempt to kill White's group. But after it's clear that was an overplay.