CF189B.Counting Rhombi

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题目描述

You have two positive integers ww and hh . Your task is to count the number of rhombi which have the following properties:

  • Have positive area.
  • With vertices at integer points.
  • All vertices of the rhombi are located inside or on the border of the rectangle with vertices at points (0,0)(0,0) , (w,0)(w,0) , (w,h)(w,h) , (0,h)(0,h) . In other words, for all vertices (xi,yi)(x_{i},y_{i}) of the rhombus the following conditions should fulfill: 0<=xi<=w0<=x_{i}<=w and 0<=yi<=h0<=y_{i}<=h .
  • Its diagonals are parallel to the axis.

Count the number of such rhombi.

Let us remind you that a rhombus is a quadrilateral whose four sides all have the same length.

输入格式

The first line contains two integers ww and hh (1<=w,h<=4000)(1<=w,h<=4000) — the rectangle's sizes.

输出格式

Print a single number — the number of sought rhombi.

Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use cin, cout streams or the %I64d specifier.

输入输出样例

  • 输入#1

    2 2
    

    输出#1

    1
    
  • 输入#2

    1 2
    

    输出#2

    0
    

说明/提示

In the first example there exists only one such rhombus. Its vertices are located at points (1,0)(1,0) , (2,1)(2,1) , (1,2)(1,2) , (0,1)(0,1) .

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