Aussie Burger

Directions

1. 1
   Prepare grill for direct-heat cooking over medium-hot charcoal (medium heat for gas); see
2. 2
   .
3. 3
   Combine ketchup, mayonnaise, and chile paste.
4. 4
   Mix beef with 1 teaspoon salt and 1/2 teaspoon pepper, then form into 4 (4 1/4-inch-diameter) patties.
5. 5
   Lightly toast rolls on grill.
6. 6
   Pat pineapple dry and brush with 1/2 tablespoon oil.
7. 7
   Oil grill rack, then grill pineapple and burgers, covered only if using a gas grill, turning once, until pineapple is tender and caramelized and burgers are medium-rare, about 4 minutes total.
8. 8
   Heat remaining 1/2 tablespoon oil in a large nonstick skillet over medium-high heat until hot, then fry eggs.
9. 9
   Spread chile mayonnaise on rolls, then assemble burgers with pineapple, beets, eggs, lettuce, and tomato.