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:
| country | area km square | population | population density per km square | hdi (2011) | capital |
| china (prc) | 9640011 | 1339724852 | 138 | 0.699 | beijing |
| hong kong (prc) | 1104 | 7061200 | 6390 | 0.898 | hong kong |
| japan | 377930 | 127950000 | 337 | 0.901 | tokyo |
| macau (prc) | 30 | 556800 | 18662 | no data | macau |
| mongolia | 1564100 | 2809600 | 2 | 0.653 | ulaanbaatar |
| north korea | 120538 | 24346000 | 198 | no data | pyongyang |
| south korea | 100210 | 48988833 | 500 | 0.897 | seoul |
Title:
east asia
Statement:
the country with the capital of ulaanbaatar has the lowest population density per km square
Answer:
supported