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 126°C heat to the field 0x3
What is the temperature (rounded to whole numbers) in the field 9x3 after 50 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)
| 8 | 11 | 11 | 11 | 11 | 11 | 10 | 9 | 7 | 4 |
| 23 | 26 | 24 | 21 | 20 | 19 | 18 | 16 | 12 | 6 |
| 62 | 51 | 38 | 31 | 27 | 25 | 23 | 20 | 15 | 8 |
| 178 | 83 | 50 | 37 | 31 | 28 | 26 | 23 | 17 | 9 |
| 66 | 57 | 45 | 37 | 32 | 30 | 28 | 25 | 18 | 10 |
| 30 | 38 | 36 | 34 | 32 | 30 | 29 | 25 | 19 | 10 |
| 18 | 27 | 30 | 30 | 30 | 29 | 28 | 25 | 18 | 9 |
| 12 | 20 | 24 | 25 | 26 | 26 | 25 | 22 | 16 | 8 |
| 8 | 14 | 17 | 18 | 19 | 19 | 19 | 16 | 11 | 6 |
| 4 | 7 | 9 | 10 | 10 | 10 | 10 | 8 | 6 | 3 |
Temperature in field 9x3 after 50 iterations:
