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 196°C heat to the field 7x5
What is the temperature (rounded to whole numbers) in the field 2x4 after 76 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 | 6 | 5 | 3 |
| 3 | 5 | 6 | 7 | 7 | 8 | 11 | 15 | 12 | 7 |
| 3 | 6 | 7 | 8 | 8 | 13 | 27 | 43 | 33 | 17 |
| 3 | 6 | 7 | 8 | 12 | 28 | 66 | 118 | 74 | 34 |
| 3 | 6 | 8 | 9 | 17 | 45 | 120 | 314 | 127 | 49 |
| 3 | 6 | 7 | 9 | 16 | 37 | 78 | 130 | 83 | 38 |
| 3 | 5 | 7 | 8 | 13 | 24 | 44 | 60 | 46 | 24 |
| 2 | 4 | 5 | 6 | 9 | 14 | 23 | 28 | 24 | 13 |
| 1 | 2 | 3 | 3 | 4 | 7 | 10 | 12 | 10 | 6 |
Temperature in field 2x4 after 76 iterations:
