The Matrix

ihumaunkabir Criterion 2022 Round 15
Limits 1s, 512 MB

In the metaphysical world of the Matrix, different people make their chessboards with their own specifications. Sometimes they play multidimensional chess being in multiple positions. For now, let's think that they can choose N x N chessboards and have fun playing chess. While they are having fun, we want to know that if we choose any rectangle from the chessboard, what is the probability that the chosen rectangle is not a square.

Input

The first line of input consists of a single integer T (1T1000)( 1 \leq T \leq 1000 ), next T lines contain an integer N (1N1000)( 1 \leq N \leq 1000 ), the dimension of the chessboard.

Output

Print the probability of choosing a rectangle that is not a square. Errors less than 10410^{-4} will be ignored.

Sample

InputOutput
1
8
0.842593

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Statistics

94% Solution Ratio
tanvirtareqEarliest, 7M ago
S_SubrataFastest, 0.0s
tanvirtareqLightest, 131 kB
anonyo.akandShortest, 123B
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