I am working with a pandas data frame that contains also nan values. I want to substitute the nans with interpolated values with df.interpolate, but only if the length of the sequence of nan values is =

print(df)
A   B   C
1   1   1
nan nan 2
nan nan 3
nan 4   nan
5   5   5

In such a case I want to apply a function on df that only the nan sequences with length N<=2 get filled, but the larger sequences get untouched, resulting in my desired output of

print(df)
A   B   C
1   1   1
nan 2   2
nan 3   3
nan 4   4
5   5   5

Note that I am aware of the option of limit=N inside df.interpolate, but it doesn't fulfil what I want, because it would fill any length of nan sequence, just limit the filling to a the first 3 nans resulting in the undesired output

print(df)
A   B   C
1   1   1
2   2   2
3   3   3
nan 4   4
5   5   5

So do you know of a function/ do you know how to construct a code that results in my desired output? Tnx