Changing column value according to a comparison rule

Question

I have this DataFrame:

classification       text      apple  banana  peach   grape
["apple","grape"]    anytext    NaN     NaN    NaN     NaN

How can I check if the column name is in the classification column, to get this:

classification        text      apple  banana  peach   grape
["apple","grape"]    anytext      1      0       0       1

Data:

{'classification': [['apple', 'grape']],
 'text': ['anytext'],
 'apple': [nan],
 'banana': [nan],
 'peach': [nan],
 'grape': [nan]}