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3418：Quadratic Functions

题目描述

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{fi(x)}.

输入解释

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{fi(x)}. Before the query, there is at least a curve in the plane.

All numbers in the input file are integers, whose absolute values are no more than 106.

输出解释

For each computation query, print a line consisting of one integer which denotes the global minimum value. Assume the absolute values of the answers are no more than 2 × 109.

输入样例 
2
I 1 2 1
Q 1
输出样例 
4
该题目是Virtual Judge题目，来自 北京大学POJ
题目来源 POJ Monthly--2007.10.06, Amber(hupo001)@POJ
源链接： POJ-3418
最后修改于 2020-10-29T07:01:04+00:00 由爬虫自动更新
共提交 0 次
通过率 --%
时间上限 内存上限
3000 65536