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 186°C heat to the field 2x7
What is the temperature (rounded to whole numbers) in the field 9x3 after 101 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 | 7 | 8 | 7 | 7 | 5 | 3 |
| 3 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 3 | 9 | 15 | 15 | 13 | 12 | 10 | 9 | 6 | 3 |
| 8 | 24 | 41 | 35 | 24 | 17 | 13 | 10 | 7 | 4 |
| 20 | 60 | 112 | 74 | 43 | 25 | 16 | 11 | 7 | 4 |
| 34 | 109 | 297 | 123 | 58 | 30 | 18 | 11 | 7 | 3 |
| 26 | 68 | 119 | 79 | 45 | 25 | 15 | 9 | 6 | 3 |
| 13 | 30 | 45 | 36 | 23 | 14 | 9 | 5 | 3 | 1 |
Temperature in field 9x3 after 101 iterations:
