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 187°C heat to the field 7x5
What is the temperature (rounded to whole numbers) in the field 6x2 after 117 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 | 10 | 14 | 12 | 7 |
| 3 | 6 | 7 | 8 | 8 | 13 | 26 | 41 | 32 | 16 |
| 3 | 6 | 7 | 8 | 12 | 27 | 64 | 113 | 71 | 32 |
| 3 | 6 | 8 | 9 | 17 | 43 | 114 | 300 | 121 | 47 |
| 3 | 6 | 7 | 9 | 16 | 35 | 75 | 124 | 79 | 37 |
| 3 | 5 | 7 | 8 | 13 | 24 | 42 | 57 | 44 | 23 |
| 2 | 4 | 5 | 6 | 9 | 14 | 22 | 27 | 23 | 13 |
| 1 | 2 | 3 | 3 | 4 | 7 | 10 | 11 | 10 | 6 |
Temperature in field 6x2 after 117 iterations:
