Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 32°C. We apply continuously 116°C heat to the field 1x4
What is the temperature (rounded to whole numbers) in the field 5x5 after 111 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
| 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 | 32 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 8 | 10 | 11 | 11 | 11 | 11 | 10 | 7 | 4 |
| 9 | 17 | 20 | 21 | 20 | 20 | 19 | 17 | 13 | 7 |
| 19 | 36 | 36 | 32 | 29 | 27 | 25 | 22 | 16 | 8 |
| 40 | 81 | 63 | 46 | 37 | 32 | 29 | 25 | 19 | 10 |
| 68 | 197 | 95 | 58 | 42 | 35 | 31 | 27 | 20 | 10 |
| 45 | 88 | 70 | 52 | 42 | 36 | 32 | 28 | 21 | 11 |
| 27 | 48 | 48 | 43 | 38 | 34 | 31 | 27 | 20 | 10 |
| 17 | 29 | 33 | 33 | 31 | 30 | 28 | 24 | 17 | 9 |
| 10 | 18 | 22 | 23 | 23 | 22 | 20 | 17 | 12 | 6 |
| 5 | 9 | 11 | 12 | 12 | 11 | 11 | 9 | 6 | 3 |
Temperature in field 5x5 after 111 iterations:
