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 138°C heat to the field 2x4
What is the temperature (rounded to whole numbers) in the field 8x3 after 135 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 | 14 | 14 | 13 | 12 | 9 | 5 |
| 9 | 18 | 25 | 27 | 27 | 26 | 24 | 21 | 16 | 8 |
| 15 | 33 | 50 | 48 | 41 | 36 | 32 | 28 | 21 | 11 |
| 25 | 62 | 106 | 80 | 58 | 46 | 39 | 33 | 24 | 12 |
| 36 | 100 | 245 | 120 | 73 | 53 | 43 | 35 | 26 | 13 |
| 31 | 72 | 116 | 90 | 66 | 52 | 44 | 36 | 26 | 14 |
| 23 | 48 | 67 | 64 | 55 | 48 | 42 | 35 | 26 | 13 |
| 17 | 32 | 43 | 45 | 43 | 40 | 36 | 31 | 22 | 11 |
| 11 | 21 | 27 | 30 | 30 | 29 | 27 | 22 | 16 | 8 |
| 6 | 10 | 13 | 15 | 15 | 15 | 14 | 11 | 8 | 4 |
Temperature in field 8x3 after 135 iterations:
