your questions regarding the game rules (improving the interpretation).

Players already calculate movement points based on cells, right?

Diagonal movement costs 141, horizontal movement costs 100. There's a 50% penalty for moving on sand. This is common knowledge.

You used the term "minimum number of cells traversed," not "minimum number of moves," which is why I asked.

It's interpreted in favor of the player; the essence of the rule is to avoid abuse of "illegal scouting."

I understand the point, but I'm thinking in terms of legal nitpicking, which is inevitable in a contentious situation.

I looked at the picture again, and the most illegal path is actually the brown line, which has 3 sand cells. The left red line has 1 sand cell. The central and right red lines have no sand; they land on snow. The blue line has 1 or 2 sand cells (it's hard to tell with the naked eye; a coordinate grid and route arrows would be needed).