Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 187°C heat to the field 2x5
What is the temperature (rounded to whole numbers) in the field 8x8 after 113 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 6 | 10 | 13 | 15 | 15 | 15 | 15 | 13 | 10 | 5 |
| 7 | 15 | 23 | 25 | 23 | 21 | 20 | 17 | 13 | 7 |
| 12 | 32 | 51 | 46 | 36 | 29 | 25 | 21 | 15 | 8 |
| 25 | 69 | 124 | 87 | 56 | 39 | 30 | 23 | 17 | 8 |
| 40 | 119 | 311 | 138 | 73 | 46 | 33 | 25 | 17 | 9 |
| 32 | 79 | 135 | 96 | 63 | 43 | 32 | 25 | 17 | 9 |
| 21 | 46 | 67 | 59 | 46 | 35 | 28 | 22 | 15 | 7 |
| 12 | 25 | 35 | 34 | 30 | 25 | 20 | 16 | 11 | 5 |
| 6 | 11 | 15 | 16 | 15 | 13 | 10 | 8 | 6 | 3 |
Temperature in field 8x8 after 113 iterations:
