Place the romaine in a large salad bowl. Arrange some egg slices around edge of bowl; place remaining eggs over romaine. Top with tomatoes. In a large bowl, combine the corn, beans and onions; spoon over tomatoes. In another large bowl, drizzle lime juice over avocados; gently toss to coat. Sprinkle avocados over tomatoes; spreading to sides of bowl. , In a small bowl, whisk the mayonnaise, lime juice, cumin and chili powder. Stir in cilantro. Pour dressing over salad. Garnish with olives, cherry tomatoes and cheese if desired.