Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 121°C heat to the field 4x6
What is the temperature (rounded to whole numbers) in the field 9x4 after 38 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 6 | 7 | 7 | 7 | 6 | 5 | 2 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 10 | 8 | 4 |
| 6 | 10 | 13 | 14 | 15 | 16 | 15 | 14 | 10 | 5 |
| 6 | 11 | 14 | 18 | 22 | 22 | 20 | 17 | 12 | 6 |
| 7 | 12 | 18 | 28 | 40 | 35 | 28 | 21 | 15 | 7 |
| 7 | 14 | 27 | 52 | 86 | 61 | 40 | 27 | 17 | 8 |
| 7 | 16 | 37 | 85 | 207 | 94 | 51 | 31 | 18 | 9 |
| 7 | 15 | 30 | 58 | 92 | 65 | 42 | 27 | 17 | 8 |
| 5 | 11 | 20 | 33 | 44 | 38 | 28 | 20 | 12 | 6 |
| 3 | 6 | 10 | 15 | 19 | 18 | 14 | 10 | 6 | 3 |
Temperature in field 9x4 after 38 iterations:
