Spider and Fly

In an empty rectangular room in the sizes $A\times B\times C$ (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

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

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

Examples