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 186°C heat to the field 4x9
What is the temperature (rounded to whole numbers) in the field 3x3 after 76 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 | 8 | 10 | 11 | 12 | 12 | 12 | 11 | 8 | 4 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 5 | 9 | 12 | 13 | 14 | 15 | 14 | 13 | 10 | 5 |
| 5 | 9 | 12 | 14 | 15 | 16 | 15 | 14 | 10 | 5 |
| 5 | 9 | 12 | 16 | 22 | 21 | 19 | 15 | 11 | 5 |
| 5 | 8 | 15 | 29 | 44 | 37 | 26 | 18 | 11 | 5 |
| 4 | 9 | 24 | 56 | 102 | 64 | 36 | 20 | 11 | 5 |
| 3 | 9 | 28 | 83 | 253 | 88 | 34 | 15 | 7 | 3 |
Temperature in field 3x3 after 76 iterations:
