Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 161°C heat to the field 2x6
What is the temperature (rounded to whole numbers) in the field 5x7 after 112 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 4 | 6 | 7 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 10 | 11 | 12 | 12 | 11 | 10 | 8 | 4 |
| 5 | 11 | 17 | 18 | 17 | 15 | 14 | 12 | 9 | 5 |
| 9 | 24 | 40 | 35 | 27 | 20 | 17 | 13 | 10 | 5 |
| 20 | 56 | 102 | 69 | 43 | 28 | 20 | 15 | 10 | 5 |
| 32 | 99 | 263 | 113 | 57 | 33 | 22 | 16 | 11 | 5 |
| 25 | 64 | 110 | 76 | 47 | 30 | 21 | 15 | 10 | 5 |
| 15 | 34 | 50 | 43 | 31 | 22 | 15 | 11 | 7 | 3 |
| 7 | 15 | 21 | 19 | 15 | 11 | 8 | 6 | 4 | 2 |
Temperature in field 5x7 after 112 iterations:
