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Problems

Spider and Fly

Spider and Fly

Time limit 1 second
Memory limit 64 MiB

In an empty rectangular room in the sizes A х B х C (the length, width, height) has fallen to the floor the fallen asleep fly. The spider who was on one of walls, or on a room’s floor, has started to move to it on the shortest way.

On what distance it thus will move?

Input data

In the first line it is set the sizes of a room A, B, C. In the second line - co-ordinates of a fly on the floor X[1], Y[1], and spider X[2], Y[2], Z[2].

All input date - the integers which are not exceeding 500.

Output data

One line – the distance on which the spider will move, calculated to within 2 signs after a decimal point.

Examples

Input example #1
1 1 1
1 1 1 1 0
Output example #1
0.00