Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 76°C heat to the field 5x6
What is the temperature (rounded to whole numbers) in the field 4x1 after 44 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 9 | 10 | 10 | 10 | 10 | 9 | 7 | 4 |
| 7 | 12 | 15 | 17 | 17 | 18 | 17 | 16 | 12 | 6 |
| 9 | 15 | 19 | 21 | 22 | 23 | 23 | 20 | 15 | 8 |
| 10 | 17 | 21 | 24 | 26 | 29 | 28 | 25 | 18 | 9 |
| 10 | 17 | 22 | 27 | 34 | 41 | 38 | 30 | 21 | 11 |
| 10 | 18 | 24 | 33 | 50 | 71 | 54 | 39 | 25 | 12 |
| 10 | 18 | 25 | 39 | 70 | 146 | 75 | 45 | 27 | 13 |
| 9 | 16 | 23 | 33 | 51 | 72 | 55 | 38 | 24 | 11 |
| 7 | 12 | 17 | 23 | 32 | 39 | 34 | 26 | 17 | 8 |
| 4 | 6 | 9 | 12 | 15 | 18 | 16 | 13 | 9 | 4 |
Temperature in field 4x1 after 44 iterations:
