Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 168°C heat to the field 2x5
What is the temperature (rounded to whole numbers) in the field 4x7 after 142 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 6 | 10 | 13 | 15 | 15 | 15 | 15 | 13 | 10 | 5 |
| 7 | 15 | 22 | 24 | 23 | 21 | 20 | 17 | 13 | 7 |
| 12 | 30 | 48 | 43 | 35 | 29 | 24 | 20 | 15 | 8 |
| 24 | 63 | 113 | 80 | 53 | 37 | 29 | 23 | 16 | 8 |
| 37 | 109 | 281 | 126 | 68 | 44 | 32 | 25 | 17 | 9 |
| 30 | 73 | 123 | 89 | 59 | 41 | 31 | 24 | 17 | 9 |
| 20 | 43 | 62 | 55 | 43 | 34 | 27 | 21 | 15 | 7 |
| 12 | 24 | 32 | 32 | 28 | 24 | 20 | 16 | 11 | 5 |
| 5 | 11 | 14 | 15 | 14 | 12 | 10 | 8 | 5 | 3 |
Temperature in field 4x7 after 142 iterations:
