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 | years | gender | area | authority | decile | roll |
| frasertown school | 1 - 6 | coed | frasertown | state | 4 | 107 |
| kotemaori school | 1 - 8 | coed | kotemaori | state | 4 | 6 |
| mohaka school | 1 - 8 | coed | mohaka | state | 1 | 36 |
| nuhaka school | 1 - 8 | coed | nuhaka | state | 2 | 123 |
| ohuka school | 1 - 8 | coed | ohuka | state | 10 | 12 |
| putere school | 1 - 8 | coed | putere | state | 2 | 12 |
| ruakituri school | 1 - 8 | coed | ruakituri | state | 7 | 9 |
| st joseph 's school | 1 - 8 | coed | wairoa | state integrated | 3 | 122 |
| te kura o waikaremoana | 1 - 8 | coed | tuai | state | 2 | 27 |
| te mahia school | 1 - 8 | coed | mahia | state | 1 | 48 |
| tiaho primary school | 1 - 6 | coed | wairoa | state | 2 | 150 |
| tkkm o ngati kahungunu o te wairoa | 1 - 8 | coed | wairoa | state | 1 | 61 |
| wairoa college | 7 - 15 | coed | wairoa | state | 2 | 544 |
| wairoa primary school | 1 - 6 | coed | wairoa | state | 2 | 228 |
Title:
list of schools in the hawke 's bay region
Statement:
there are no schools that aren't coed and not under the authority of state integrated in the hawke 's bay region
Answer:
refuted