# Number of true sentences

You are given a sheet of paper with $$100$$ sentences, in the form of: There are exactly $$x$$ wrong sentences on this sheet.

There is exactly $$1$$ wrong sentence on this sheet.

There are exactly $$2$$ wrong sentences on this sheet.

...

There are exactly $$99$$ wrong sentences on this sheet.

There are exactly $$100$$ wrong sentences on this sheet.

Your task is find out which sentence says the truth (there can be only one).