Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 40°C. We apply continuously 191°C heat to the field 5x8
What is the temperature (rounded to whole numbers) in the field 8x5 after 80 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
| 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 | 40 |
Field after 4 iterations (rounded after 4th iteration)
| 6 | 9 | 12 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 9 | 16 | 20 | 22 | 23 | 24 | 23 | 21 | 16 | 8 |
| 12 | 20 | 25 | 28 | 30 | 30 | 30 | 27 | 20 | 11 |
| 13 | 22 | 28 | 32 | 34 | 34 | 34 | 30 | 23 | 12 |
| 13 | 23 | 30 | 34 | 36 | 37 | 37 | 33 | 25 | 13 |
| 14 | 24 | 30 | 34 | 39 | 45 | 44 | 38 | 28 | 14 |
| 13 | 23 | 30 | 38 | 54 | 71 | 63 | 48 | 32 | 16 |
| 12 | 21 | 30 | 49 | 88 | 140 | 99 | 62 | 37 | 17 |
| 9 | 16 | 28 | 56 | 129 | 319 | 139 | 69 | 35 | 15 |
| 5 | 9 | 17 | 34 | 68 | 114 | 73 | 41 | 21 | 9 |
Temperature in field 8x5 after 80 iterations:
