You are to write a program to find the minimum distance between two different points on the 3D-Cartesian plane ( ) and a given (reference) point. i.e. we have three points, one reference points () (x0,y0,z0) and two other points (x1,y1,z1) and (x2,y2,z2).

Note 1: you have to use the predefined pow function

Note2: you have to use predefined min and sqrt functions

Note3: the distance between two points (a, b,c) and (d,e,f) is calculated using the equation: (ad)^2+(be)^2+(cf)^2

Constraints

0 <= x0, x1, x2 <= 50

0 <= y0, y1, y2 <= 50

0 <= z0, z1, z2 <= 50

Input Format

The first line, Three integer numbers separated by spaces representing the location coordinates for the reference point

x0, y0,z0

The second line, six integer numbers separated by spaces represent the location coordinates (x, y, z) of the other two points x1, x2, y1, y2, z1, z2

Output Format

The minimum distance between the reference point and the other points.

(use float or double data type for the result without approximation)

Sample #1

Input

1 2 3 4 5 6 7 8 9

Output

7.07107

Sample #2

Input

10 11 12 15 18 19 20 22 30

Output

13.7477

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