+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+
| S | > > v |                       |               |               |                 > > > > > > > > v |                           |                                   |         > > > > v | > > v |   |
+ v + ^ + v +---+---+---+   +   +---+   +---+---+   +   +---+---+   +   +---+---+---+ ^ +---+---+---+ v +   +   +---+---+---+---+---+   +   +   +---+---+---+---+---+---+   +---+ ^ +---+ v + ^ + v +   +
| v | ^ | > > > > > > v |   |   |       |       |       |       |                   | ^ < < |       | v |   |                   |       |   |   |                       |   |   | ^ |     > > ^ | v |   |
+ v + ^ +---+---+---+ v +   +---+   +---+   +   +---+---+   +   +---+---+---+---+---+---+ ^ +   +---+ v +   +---+---+---+---+   +   +---+   +---+   +---+---+---+---+   +   +   + ^ +---+---+---+ v +   +
| > > ^ |   | v < < | v |       |   |   |   |               |       | > > > > > > > > v | ^ | v < < < < |   |               |   |       |       |   |           |   |           | ^ < < | v < < < < |   |
+---+---+   + v + ^ + v +---+   +   +   +   +---+---+   +---+---+   + ^ +---+---+---+ v + ^ + v +---+---+   +   +---+---+---+   +---+   +---+   +   +---+   +   +   +---+---+---+---+ ^ + v +---+---+   +
|   | v < < < < | ^ | > > v |   |   |       |       |   |       |   | ^ < < < < < < | > > ^ | > > > > v |       | > > > > v |       |       |   |   |       |       | > > > > > > v | ^ | v |           |
+   + v +---+---+ ^ +---+ v +   +   +   +---+   +   +   +   +   +   +---+---+---+ ^ +---+---+---+---+ v +---+   + ^ +---+ v +   +   +---+   +   +   +   +---+---+   + ^ +---+---+ v + ^ + v +---+---+   +
|   | > > v |   | ^ < < < < |       |   |   |   |   |       |   |       | > > > > ^ |               | v |       | ^ |     v |   |           |   |   |   |       |   | ^ |   | v < < | ^ | > > > > v |   |
+   +---+ v +   +---+---+---+   +---+   +   +   +   +---+---+---+   +   + ^ +---+---+---+   +---+---+ v +   +---+ ^ +---+ v +   +---+---+---+   +   +   +   +   +---+ ^ +   + v +---+ ^ +---+---+ v +   +
|       | > > v |   |           |   |   |   |   |                   |   | ^ < < < < < < |           | v |   |   | ^ < < | v |       |           |   |       |       | ^ |     > > > > ^ |       | v |   |
+   +   +---+ v +   +   +---+---+   +   +   +   +---+---+---+---+---+   +---+---+---+ ^ +---+---+   + v +   +   +---+ ^ + v +---+---+   +---+---+   +---+---+---+   + ^ +---+---+---+---+---+   + v +   +
|   |       | v |   |   |       |       |   |       |   |           |   |   | > > > > ^ | v < < |     v |       | > > ^ | > > > > v |       |                       | ^ < < | v < < | v < < | v < < |   |
+---+   +   + v +   +   +   +   +   +---+   +---+   +   +   +   +---+   +   + ^ +---+---+ v + ^ +---+ v +---+   + ^ +---+---+---+ v +---+   +   +---+---+---+---+   +---+ ^ + v + ^ + v + ^ + v +---+   +
|       |   | v |       |   |               |       |   |   |           |   | ^ < < | v < < | ^ < < | > > v |   | ^ | v < < < < | > > v |       |   | > > v |           | ^ < < | ^ < < | ^ | > > > > v |
+   +---+   + v +   +---+   +---+---+---+---+   +---+   +   +---+---+---+   +---+ ^ + v +---+---+ ^ +---+ v +   + ^ + v +---+ ^ +---+ v +   +---+   + ^ + v +---+---+   +---+---+---+---+ ^ +---+---+ v +
| v < < |   | v |       |       |           |   |       |   |               |   | ^ | v | > > > > ^ | v < < |   | ^ | v |   | ^     | v |           | ^ | > > > > v |           | > > > > ^ |       | v |
+ v + ^ +---+ v +---+   +---+---+   +---+   +   +   +---+   +   +---+---+   +   + ^ + v + ^ +---+---+ v +---+---+ ^ + v +   + ^ +---+ v +---+---+   + ^ +---+---+ v +   +---+---+ ^ +---+---+   +---+ v +
| v | ^ < < < < |                   |   |   |   |               | > > v |       | ^ | v | ^ < < |     > > > > > > ^ | v |   | ^ < < | > > > > v |   | ^ |       | v |   | > > > > ^ |   | v < < < < < < |
+ v +---+---+---+---+---+---+---+---+   +   +   +---+---+---+---+ ^ + v +---+---+ ^ + v +---+ ^ +---+---+---+---+---+ v +   +---+ ^ +---+---+ v +   + ^ +   +---+ v +---+ ^ +---+---+   + v +---+---+---+
| > > v | > > > > > > v |   |               |   | > > > > > > v | ^ | > > > > v | ^ < < | > > ^ | v < < < < < < < < | > > v     | ^     |   | v |   | ^ | v < < < < | > > ^ |           | v |           |
+---+ v + ^ +---+---+ v +   +   +---+---+---+   + ^ +---+---+ v + ^ +---+---+ v +---+---+ ^ +---+ v +---+---+---+ ^ +---+ v +---+ ^ +   +   + v +---+ ^ + v +---+---+ ^ +---+---+   +   + v +   +---+   +
| v < < | ^ |       | v |       |               | ^ < < < < | v | ^ < < |     > > v | > > ^ | v < < |           | ^ |     v | > > ^ |       | > > > > ^ | v |         ^ |           |   | v |       |   |
+ v +---+ ^ +   +---+ v +   +---+   +   +---+---+---+   + ^ + v +---+ ^ +---+---+ v + ^ +---+ v +---+   +---+---+ ^ +---+ v + ^ +---+---+---+---+---+---+ v +---+   + ^ +   +---+---+---+ v +   +---+   +
| > > > > ^ |   | v < < |   |       |   | > > > > v |   | ^ | > > v | ^ < < | v < < | ^ < < < < |       |       | ^ < < | v | ^ < < < < < < | v < <     | > > v |   | ^ |   | v < < | v < < |   |       |
+---+---+---+   + v +---+   +   +---+---+ ^ +---+ v +---+ ^ +---+ v +   + ^ + v +---+   +---+---+   +---+   +   +---+ ^ + v +---+---+---+ ^ + v + ^ +---+---+ v +---+ ^ +   + v + ^ + v +---+---+   +   +
|           | v < < |   |   |       | > > ^ |   | > > v | ^ < < | v |   | ^ | > > v |           |           |       | ^ | v |           | ^ < < | ^ < < < < < < | > > ^ |   | v | ^ < < |           |   |
+   +---+---+ v +---+   +   +---+   + ^ +---+   +---+ v +---+ ^ + v +---+ ^ +---+ v +---+---+   +---+---+---+---+   + ^ + v +---+   +---+---+---+---+---+---+---+ ^ +---+   + v +---+---+   +---+---+---+
|   | v < < | v |                   | ^ |           | > > v | ^ | > > > > ^ |   | > > v |               |       |   | ^ | > > v |           |             > > v | ^ | v < < | v |       |               |
+   + v + ^ + v +---+---+   +---+---+ ^ +---+---+   +---+ v + ^ +---+---+---+   +---+ v +---+---+---+   +   +   +   + ^ +---+ v +---+---+   +   +---+---+ ^ + v + ^ + v + ^ + v +---+   +   +---+---+   +
|   | v | ^ | > > > > v |   | > > > > ^ |           |   | > > ^ |       | v < < < < | v | > > v |           |       | ^ |   | > > > > v |           | > > ^ | > > ^ | v | ^ < < |       |       |       |
+   + v + ^ +---+---+ v +---+ ^ +---+---+   +---+   +   +---+---+   +---+ v +---+ ^ + v + ^ + v +---+---+   +---+---+ ^ +   +---+---+ v +---+---+---+ ^ +---+---+---+ v +---+---+   +---+---+   +   +---+
|   | v | ^ < < < < < < | > > ^ |           |   |   |           | v < < | v | > > ^ | > > ^ | > > v |       | > > v | ^ |           | > > > > > > > > ^ | v < < < < | > > > > v |               |       |
+   + v +---+---+---+---+ ^ +---+   +---+---+   +   +---+   +   + v + ^ + v + ^ +---+---+---+---+ v +   +---+ ^ + v + ^ +   +   +---+---+---+---+---+---+ v +---+ ^ +---+---+ v +---+---+---+---+---+   +
| v < < |           |     ^ < < |           |   |       |   |   | v | ^ < < | ^ < <     | v < < < < |       | ^ | v | ^ |   |                   |   | v < < | > > ^         | > > v | > > > > > > v |   |
+ v +---+---+---+   +   +---+ ^ +---+---+   +   +---+   +   +---+ v +---+---+---+ ^ +---+ v +---+---+---+---+ ^ + v + ^ +---+---+---+---+   +   +   + v +---+ ^ +---+---+   +---+ v + ^ +---+---+ v +   +
| > > > > > > v |           | ^ |           |               | v < < |   |       | ^ < < < < | > > > > > > > > ^ | > > ^ |                   |       | v |   | ^ |       |       | > > ^ | v < < < < |   |
+---+---+---+ v +---+---+---+ ^ +   +---+---+---+---+---+   + v +---+   +   +   +---+---+---+ ^ +---+---+---+---+---+---+   +---+---+---+---+   +---+ v +   + ^ +   +   +   +---+---+---+ v +---+---+   +
|           | > > v | > > > > ^ |                       |   | > > v |       |         > > v | ^ < < < < < < |           | v < < < < < < < < |   | v < < |   | ^ |   |       | v < < < < < < |           |
+   +---+---+---+ v + ^ +---+---+   +---+---+---+---+   +---+---+ v +---+---+---+---+ ^ + v +---+---+---+ ^ +   +---+   + v +---+---+---+ ^ +---+ v +---+   + ^ +---+---+---+ v +---+---+---+   +---+   +
|               | > > ^ |           |               |           | > > > > v | > > > > ^ | > > > > > > v | ^ |       |   | v |           | ^ < < | v |       | ^ | v < < < < | v |               |       |
+   +---+   +   +---+---+   +---+---+   +   +---+---+---+   +   +---+---+ v + ^ +---+---+---+---+---+ v + ^ +---+---+   + v +   +---+   +---+ ^ + v +   +   + ^ + v +---+ ^ + v +   +---+   +---+   +---+
|   |   |   |   |       |               |   |               |       |   | v | ^ |           | v < < < < | ^ < < |       | v |       |   | > > ^ | v |   |   | ^ < < |   | ^ < < |   |       |   |       |
+   +   +   +---+   +   +---+   +---+---+---+   +   +---+---+---+   +   + v + ^ +---+   +   + v +---+---+---+ ^ +   +---+ v +   +   +---+ ^ +---+ v +---+   +---+---+   +---+---+---+   +---+   +---+   +
|       |           |           |               |   |       |   |   |   | > > ^ |       |   | > > v | > > > > ^ |   | v < < |   |       | ^ < < < < |                                   |           |   |
+---+   +---+---+---+---+---+---+   +---+---+---+---+   +   +   +   +   +---+---+   +---+   +---+ v + ^ +---+---+   + v +---+   +---+   +---+---+---+   +---+---+---+---+---+---+---+---+   +---+   +   +
|   |       |                   |               |       |   |           |               |       | v | ^ |           | v |       |   |               |       |       |       |               |       |   |
+   +---+   +---+   +   +---+---+---+   +---+   +   +---+   +---+---+   +   +---+---+   +---+---+ v + ^ +   +---+   + v +   +---+   +---+   +---+   +   +   +   +   +   +   +   +---+   +---+---+---+   +
|       |       |   |   |           |       |   |   |   |           |   |   |       |           | > > ^ |   |       | v |           |       |   |   |   |       |       |   |   |       |               |
+   +---+---+   +   +   +   +---+   +---+   +   +   +   +---+---+   +---+   +   +---+---+---+   +---+---+   +   +---+ v +---+---+---+   +---+   +   +---+   +---+---+---+   +   +   +---+   +---+---+---+
|               |   |   |   |   |       |   |   |       |       |   |       |               |               |       | v |               |               |               |   |   |   |       |           |
+   +---+---+---+   +---+   +   +---+   +   +   +   +---+   +   +   +   +---+---+   +---+   +---+   +---+---+---+   + v +   +---+---+---+   +---+---+   +---+   +---+---+   +---+   +   +---+   +---+   +
|   |               |       |       |   |   |       |       |       |           |       |       |       |       |   | v |           |       |       |   |       |       |       |       |           |   |
+   +---+---+---+   +   +---+   +---+   +---+---+---+   +---+---+   +---+---+   +---+   +---+   +---+   +   +   +---+ v +---+---+   +---+---+   +   +   +---+   +   +   +---+   +   +---+   +---+   +---+
|                   |   |                               |                   |   |           |       |       |       | v | > > v |               |   |       |   |   |       |   |   |           |       |
+---+---+---+---+   +   +---+---+---+---+---+---+---+---+---+---+---+---+   +   +---+---+---+---+   +---+---+---+   + v + ^ + v +---+---+   +---+   +---+   +   +   +---+   +   +   +---+---+---+---+   +
|               |   |   |       |           |                   |       |   |   |       |       |               |   | v | ^ | > > > > v |       |   |   |   |   |       |       |   |               |   |
+   +---+---+   +   +   +   +   +   +---+   +   +---+---+---+   +   +   +---+   +   +   +   +   +   +---+---+   +   + v + ^ +---+---+ v +---+---+   +   +   +---+---+   +---+---+   +   +---+---+   +   +
|           |       |       |           |                   |       |               |       |       |           |     > > ^ | E < < < <             |                   |               |               |
+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+---+