Give you a statement and table with its title in Markdown format, please determine whether the statement is supported or refuted by, or is unrelated to the table. It'a binary classification problem, you should choose the answer between supported and refuted. Table cells in one row are seperated by '|', and different rows are seperated by '
'.

Table:
| name | title | start term | end term | house |
| maximilian i joseph of bavaria | elector of the palatinate king of bavaria | 1799 | 1825 | wittelsbach |
| ludwig i augustus | king of bavaria | 1825 | 1848 | wittelsbach |
| maximilian ii | king of bavaria | 1848 | 1864 | wittelsbach |
| ludwig ii | king of bavaria | 1864 | 1886 | wittelsbach |
| otto i | king of bavaria | 1886 | 1913 | wittelsbach |
| prince regent luitpold | prince regent of bavaria | 1886 | 1912 | wittelsbach |
| ludwig iii | prince regent of bavaria king of bavaria | 1913 | 1918 | wittelsbach |
| crown prince rupprecht | crown prince of bavaria | 1913 | 1955 | wittelsbach |
Title:
king of bavaria
Statement:
maximilian ii ruled later than ludwig i augustus but earlier than prince regent luitpold
Answer:
supported