With reference to the grounds for Proclamation of President’s Rule in a State, consider the following statements:

I. President’s Rule can be imposed if the President is satisfied that the government of the State cannot be carried on in accordance with the Constitution.

II. A report of the Governor is a constitutionally mandatory precondition for imposing President’s Rule.

III. President’s Rule can be imposed in a State due to failure to comply with directions of the Union under Article 365.

Which of the statements given above are correct?