Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 195°C heat to the field 7x4
What is the temperature (rounded to whole numbers) in the field 2x5 after 78 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 9 | 10 | 10 | 10 | 10 | 10 | 8 | 4 |
| 7 | 12 | 15 | 17 | 17 | 18 | 20 | 23 | 19 | 11 |
| 9 | 15 | 19 | 21 | 22 | 27 | 41 | 55 | 42 | 22 |
| 10 | 17 | 21 | 24 | 28 | 44 | 82 | 132 | 85 | 39 |
| 10 | 17 | 22 | 26 | 35 | 62 | 137 | 329 | 138 | 55 |
| 10 | 18 | 23 | 27 | 35 | 56 | 96 | 146 | 95 | 45 |
| 10 | 17 | 22 | 26 | 32 | 44 | 62 | 77 | 59 | 31 |
| 9 | 16 | 20 | 23 | 27 | 33 | 41 | 45 | 36 | 19 |
| 7 | 12 | 15 | 17 | 20 | 23 | 26 | 26 | 21 | 11 |
| 4 | 6 | 8 | 9 | 10 | 11 | 12 | 12 | 9 | 5 |
Temperature in field 2x5 after 78 iterations:
