Compass Circles

Fill the grid with the digits 1-5 and the letters N, E, S and W so that no digit or letter repeats in any row, column or 3x3 box.

A small white dot sits between two digits that are consecutive.

Each purple circle contains a letter, and has an invisible straight arrow attached to it (arrow lengths are to be determined.) The letter in the circle indicates the direction its arrow points towards. (N = North, E = East, S = South, W = West.)

The invisible shafts of the arrows may only contain digits, and each arrow shaft has the same total, to be deduced. Arrows may not share cells.