CF1199B.Water Lily
普及/提高-
通过率:0%
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题目描述
While sailing on a boat, Inessa noticed a beautiful water lily flower above the lake's surface. She came closer and it turned out that the lily was exactly H centimeters above the water surface. Inessa grabbed the flower and sailed the distance of L centimeters. Exactly at this point the flower touched the water surface.
Suppose that the lily grows at some point A on the lake bottom, and its stem is always a straight segment with one endpoint at point A . Also suppose that initially the flower was exactly above the point A , i.e. its stem was vertical. Can you determine the depth of the lake at point A ?
输入格式
The only line contains two integers H and L ( 1≤H<L≤106 ).
输出格式
Print a single number — the depth of the lake at point A . The absolute or relative error should not exceed 10−6 .
Formally, let your answer be A , and the jury's answer be B . Your answer is accepted if and only if max(1,∣B∣)∣A−B∣≤10−6 .
输入输出样例
输入#1
1 2
输出#1
1.5000000000000
输入#2
3 5
输出#2
2.6666666666667