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Evaluate the value of

\[\max \left(x^{2}+(1-y)^{2}\right),\]

where the maximisation above is over $x$ and $y$ such that $0 \leq x \leq y \leq 1$.

  1. $0$
  2. $2$
  3. $1 / 2$
  4. $1 / 4$
  5. $1$

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