HMMT 1999 V10

Find the minimum possible value of the largest of $x y, 1-x-y+x y$ , and $x+y-2 x y$ if $0 \leq x \leq y \leq 1$ .

Dataset text NuminaMath olympiads. Quoted with source.

Show the answer

\frac{4}{9}

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.