Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 136°C heat to the field 5x4
What is the temperature (rounded to whole numbers) in the field 5x5 after 139 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 6 | 7 | 7 | 7 | 7 | 5 | 2 |
| 5 | 8 | 10 | 11 | 14 | 17 | 17 | 14 | 10 | 5 |
| 6 | 10 | 13 | 17 | 28 | 40 | 34 | 25 | 16 | 8 |
| 6 | 11 | 16 | 29 | 56 | 94 | 65 | 40 | 23 | 11 |
| 7 | 12 | 20 | 41 | 94 | 231 | 103 | 53 | 28 | 13 |
| 7 | 13 | 20 | 36 | 66 | 104 | 73 | 46 | 27 | 13 |
| 7 | 12 | 18 | 28 | 43 | 55 | 48 | 35 | 23 | 11 |
| 6 | 11 | 15 | 21 | 28 | 33 | 31 | 25 | 17 | 9 |
| 5 | 8 | 11 | 14 | 17 | 20 | 19 | 16 | 11 | 6 |
| 2 | 4 | 6 | 7 | 8 | 9 | 9 | 8 | 5 | 3 |
Temperature in field 5x5 after 139 iterations:
