Five neighbours each painted their front door a different colour. Their names are Sophie, Lily, Tara, Will, and Olivia. The colours are yellow, orange, red, blue, and purple.

1. Neither Lily nor Olivia painted their door blue.
2. Neither Lily nor Olivia painted their door orange.
3. Neither Tara nor Olivia painted their door purple.
4. Neither Sophie nor Lily painted their door orange.
5. Will painted their door yellow.