Level 29

You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 176°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 4x8 after 97 iterations according to the Gauss-Seidel iteration

Field in the beginning

5555555555
5555555555
5555555555
5555555555
5555555555
5555555555
5555555555
5555555555
5555555555
5555555555

Field after 4 iterations (rounded after 4th iteration)

1112222211
1223333321
1234444331
2344455432
234471211853
234821362919115
23621561046636188
23103510327911451239
13927641117239208
1251429423320115

Temperature in field 4x8 after 97 iterations: