Logic Masters Deutschland e.V.

This puzzle was made for ThePedallingPianist's Rank Up series. I hope you enjoy!

Rules
Fill the inner 5x5 grid with digits from 1-5 such that digits do not repeat in any row or column.

Full Rank: A value in an external cell represents the rank of the number formed by reading the digits in that row or column from that direction, where (1) is the lowest such row or column and (20) is the highest.

Entropy Lines: Each set of 3 adjacent digits on an peach entropy line must contain a low digit {1,2,3}, a middle digit {4,5,6}, and a high digit {7,8,9}. Cells on a line may only contain a single digit.

N.B. If two ranks are tied, the value in both external cells is the lower of the two ranks being shared. For example, if the lowest four ranks are "13425", "14523", "14523" and "21354", the values in the relevant external cells would be (1), (2), (2) and (4) respectively.

Play on SudokuPad!