Hebi-Ichigo Instructions

Rules: The challenge is insert the numbers 1 to 5, subject to the following rules:

1. Numbers form a sequential chain of five from 1 (head) to 5 (tail) connected horizontally and/or vertically to form a snake with no branches.
2. Snakes cannot touch other snakes horizontally or vertically, diagonally is allowed.
3. A snake's line of sight is from the head opposite the 2 to the first black cell or the edge of the grid. Snakes cannot see other snakes.
4. The numbers in the black cell shows the value of the nearest number in the direction of the arrow. This number must appear before any other black cells. A 0 shows there is no snake in the direction of the arrow until the next black cell or the edge of the grid.