Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 16°C. We apply continuously 187°C heat to the field 1x6
What is the temperature (rounded to whole numbers) in the field 7x9 after 87 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 5 | 9 | 11 | 12 | 12 | 12 | 12 | 11 | 8 | 4 |
| 8 | 16 | 18 | 17 | 16 | 15 | 14 | 12 | 9 | 5 |
| 21 | 42 | 38 | 29 | 22 | 18 | 16 | 14 | 10 | 5 |
| 53 | 112 | 77 | 47 | 30 | 22 | 18 | 15 | 11 | 5 |
| 98 | 297 | 127 | 63 | 37 | 25 | 19 | 15 | 10 | 5 |
| 59 | 120 | 84 | 52 | 33 | 23 | 17 | 13 | 9 | 5 |
| 29 | 53 | 46 | 34 | 24 | 17 | 13 | 10 | 7 | 3 |
| 12 | 21 | 21 | 16 | 12 | 9 | 7 | 5 | 4 | 2 |
Temperature in field 7x9 after 87 iterations:
