Spider and Fly

Spider and Fly

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?


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 X1, Y1, and spider X2, Y2, Z2.

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


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

Time limit 1 second
Memory limit 64 MiB
Input example #1
1 1 1
1 1 1 1 0
Output example #1