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 67°C heat to the field 8x0
What is the temperature (rounded to whole numbers) in the field 4x8 after 74 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 | 12 | 19 | 37 | 95 | 30 |
| 7 | 12 | 15 | 17 | 18 | 20 | 25 | 35 | 46 | 23 |
| 9 | 15 | 19 | 21 | 23 | 24 | 27 | 30 | 30 | 17 |
| 10 | 17 | 21 | 24 | 25 | 27 | 28 | 28 | 23 | 13 |
| 10 | 17 | 22 | 25 | 27 | 28 | 28 | 26 | 21 | 11 |
| 10 | 18 | 23 | 26 | 27 | 28 | 28 | 26 | 20 | 11 |
| 10 | 17 | 22 | 25 | 27 | 28 | 27 | 25 | 19 | 10 |
| 9 | 16 | 20 | 23 | 24 | 25 | 24 | 22 | 16 | 8 |
| 7 | 12 | 15 | 17 | 18 | 19 | 18 | 16 | 11 | 6 |
| 4 | 6 | 8 | 9 | 10 | 10 | 9 | 8 | 6 | 3 |
Temperature in field 4x8 after 74 iterations:
