You are to process a sequence of M queries of two types:

• Add a quadratic function f(x) = ax² + bx + c into the plane.
• Compute the global minimum value of all the quadratic functions at x: min{f_i(x)}.

The first line consists of one integer: M (number of queries). (2 ≤ M ≤ 10⁶)
The next M lines contain queries. Each query can be either addition or computation.

• I a b c : add a quadratic function into the plane. You can assume the coefficient of the linear term is the double of the quadratic term's.
• Q x : compute the global minimum value of all the quadratic functions at x: min{f_i(x)}. Before the query, there is at least a curve in the plane.