{{0, 1, 0, 0, 0, 3, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 3, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 3, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 3, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 0, 3}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 0, 3}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 0, 3}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 3, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 3, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 2, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 3, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 2, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 2}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 1, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 2, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 2, 0, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 2, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 2, 0}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 2, 0}, {0, 0, 1, 0, 0, 0, 2}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 2, 0}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 2, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 2, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 2, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 0, 2}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 1, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 2, 0, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 2, 0, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 0, 2}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 2, 0, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 2, 0, 0}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 2, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 2, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 2, 0, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 2, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 2, 0}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 2, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 2, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 0, 2}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 1, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 0, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 0, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 0, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 2, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 1, 2, 0}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 1, 2, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 1, 0, 2}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 1, 0, 2}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 2, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 2, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 2, 1}, {0, 0, 2, 0, 1, 0, 0}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 2, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 0, 0, 1, 2}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 1, 0, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 1, 0}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 2, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 2, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 1, 0, 0, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 1, 0}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 1, 0, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 1, 0, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 1, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 1, 0, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 1, 0, 0, 1, 1}, {0, 0, 1, 0, 0, 1, 1}, {0, 0, 0, 2, 0, 0, 0}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 1, 0}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 0, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 0, 1}, {0, 0, 2, 1, 0, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 0, 1}, {0, 0, 2, 0, 0, 1, 0}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 0, 1, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 1, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 1, 0, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 1, 1, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 1, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 1, 0, 0}, {0, 0, 0, 0, 1, 0, 1}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}
{{0, 1, 0, 1, 0, 1, 1}, {0, 0, 2, 0, 0, 0, 1}, {0, 0, 0, 1, 0, 0, 1}, {0, 0, 0, 0, 2, 0, 0}, {0, 0, 0, 0, 0, 2, 0}, {0, 0, 0, 0, 0, 0, 1}, {0, 0, 0, 0, 0, 0, 0}}