Water World I

　　The well known PC game engineer Kevin Flynn designed a new game:Water World I.Player can enters the Virtual World and build the world through this game.
　　Jack is the Administrator of Virtual World.He is responsible for water conservation project.Now Kevin gives him an important mission:building a reservoir made with thousands of mountain.

　　The design chart of reservoir is very simple.every mountain's width is 1 unit and the hight is Hi numbered from left to right.The valley between two mountains can hold water.
　　After the project had been finished,the Virtual World War I broken out.The reservoir is affected by the war,it become tilt.Jack want to know how much water can it hold now.

　　The input consists of several test cases(about 100).
　　For each case,there are two number n,angle in first line.(0<n<=10000,0.0<=|angle|<=80.0).
　　when it tilt toward left,angle>0,otherwise,angle<=0.
　　Then follow one line there are n integers indicate that the i-th mountain's height is H_i.the mountain starts from left to right.(0<H_i<100000)

　　For each case print a real number,indicate the maximum of water it can hold. Your answer must be rounded to 2 digits after the decimal point.

3 0.0
2 3 1
7 -15.0
1 3 2 5 2 3 4

0.00
4.13

FZU

2012 Multi-University Training Contest 7