优化MySQL查询以不使用filesort

Question

可以优化此查询以不使用filesort

CREATE TABLE `table` (
 `name` varchar(100) collate utf8_unicode_ci NOT NULL,
 `area` int(10) unsigned NOT NULL,
 `count` int(10) unsigned NOT NULL,
 KEY `index` (`name`,`count`,`area`)
) ENGINE=InnoDB DEFAULT CHARSET=utf8 COLLATE=utf8_unicode_ci

SELECT name, count, area
FROM table 
WHERE name LIKE 'input%' ORDER BY count DESC, area ASC

+----+-------------+-----------+-------+---------------+------+---------+------+------+------------------------------------------+
| id | select_type | table     | type  | possible_keys | key  | key_len | ref  | rows | Extra                                    |
+----+-------------+-----------+-------+---------------+------+---------+------+------+------------------------------------------+
|  1 | SIMPLE      | table     | range | index         | index| 302     | NULL | 6076 | Using where; Using index; Using filesort |
+----+-------------+-----------+-------+---------------+------+---------+------+------+------------------------------------------+

编辑：另外，我已经测试了两个ORDER BY都是ASC并且结果是相同的。