Again a puzzle format I found made by Inaba Naoki. Its called Number Chain. And here is my example:
Fill in the grid so that every row and every column contains the digits 1 through 9. Numbers going along the connected cells must be in increasing or decreasing consecutive order from one end to the other. So for example 3 - 4 -5 or 6 - 5 - 4 is possible, but 3 - 5 - 4 or 2 - 4 - 9 is not possible.