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 173°C heat to the field 6x5
What is the temperature (rounded to whole numbers) in the field 8x8 after 47 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 | 12 | 14 | 15 | 15 | 15 | 14 | 10 | 5 |
| 7 | 12 | 16 | 18 | 19 | 22 | 26 | 23 | 17 | 9 |
| 8 | 14 | 18 | 20 | 25 | 38 | 52 | 43 | 28 | 14 |
| 8 | 15 | 19 | 24 | 39 | 73 | 120 | 81 | 46 | 21 |
| 8 | 15 | 20 | 28 | 54 | 121 | 293 | 129 | 62 | 26 |
| 8 | 15 | 19 | 28 | 47 | 84 | 131 | 90 | 52 | 24 |
| 8 | 13 | 17 | 23 | 34 | 52 | 67 | 55 | 37 | 18 |
| 6 | 10 | 13 | 17 | 22 | 30 | 36 | 32 | 22 | 11 |
| 3 | 5 | 7 | 9 | 11 | 14 | 16 | 14 | 11 | 5 |
Temperature in field 8x8 after 47 iterations:
