Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 28°C. We apply continuously 175°C heat to the field 8x4
What is the temperature (rounded to whole numbers) in the field 4x5 after 50 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
| 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 8 | 9 | 9 | 10 | 9 | 8 | 7 | 4 |
| 7 | 11 | 14 | 15 | 16 | 17 | 16 | 17 | 18 | 11 |
| 8 | 14 | 18 | 20 | 21 | 21 | 25 | 35 | 45 | 28 |
| 9 | 15 | 20 | 22 | 23 | 27 | 40 | 72 | 112 | 59 |
| 9 | 16 | 21 | 23 | 26 | 33 | 57 | 120 | 286 | 102 |
| 10 | 17 | 21 | 24 | 26 | 33 | 50 | 84 | 122 | 65 |
| 9 | 16 | 21 | 24 | 26 | 30 | 40 | 54 | 61 | 36 |
| 8 | 15 | 19 | 21 | 23 | 26 | 30 | 35 | 33 | 20 |
| 6 | 11 | 14 | 16 | 17 | 19 | 20 | 21 | 19 | 11 |
| 3 | 6 | 7 | 8 | 9 | 10 | 10 | 10 | 8 | 5 |
Temperature in field 4x5 after 50 iterations:
