Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 168°C heat to the field 4x6
What is the temperature (rounded to whole numbers) in the field 5x4 after 135 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 3 | 6 | 7 | 11 | 15 | 15 | 13 | 10 | 7 | 3 |
| 3 | 6 | 11 | 24 | 39 | 33 | 23 | 15 | 9 | 5 |
| 3 | 9 | 24 | 58 | 104 | 68 | 40 | 23 | 13 | 6 |
| 4 | 13 | 38 | 103 | 272 | 114 | 54 | 28 | 15 | 7 |
| 4 | 12 | 30 | 67 | 113 | 76 | 45 | 25 | 14 | 6 |
| 3 | 8 | 19 | 36 | 51 | 42 | 29 | 18 | 10 | 5 |
| 2 | 4 | 9 | 16 | 21 | 19 | 14 | 9 | 5 | 3 |
Temperature in field 5x4 after 135 iterations:
