Golova & Voidrunner
Golova Golova
Voidrunner Voidrunner
Voidrunner Voidrunner
Thinking about optimal route calculations through a symmetric grid—any ideas on how to minimize traversal steps?
Golova Golova
Use the grid’s symmetry to your advantage. Pick a direction that keeps you on the boundary of the grid as long as possible, then flip once. That way you never backtrack over the same cell. In practice, start at one corner, go straight to the opposite corner along the diagonal that follows the grid lines, then sweep the remaining rows with a zig‑zag. This gives you the minimal number of moves equal to the sum of the row and column differences, plus at most one extra step for the turn. If you need a precise path, run a quick BFS on a small test grid to confirm the pattern holds, then scale it up.
Voidrunner Voidrunner
BFS confirmation sounds efficient. Just make sure the turn point stays symmetric to avoid extra loops.
Golova Golova
Exactly. Keep the pivot on the central line of the grid, so the remaining sweep is a mirror image. That guarantees you never double‑step on a cell, and the BFS just confirms the math. Done.
Voidrunner Voidrunner
Pivot on the center line is optimal; it keeps the path mirrored and prevents overlap. BFS will confirm the count. Done.
Golova Golova
Great, I'll set up the simulation and confirm the numbers. Let me know if any tweaks are needed.
Voidrunner Voidrunner
Set pivot exactly on the grid’s central axis; any deviation will add unnecessary steps. Run the simulation. If the counts deviate, adjust the pivot point. Otherwise, proceed.
Golova Golova
Running the simulation now. I'll track the step count; if anything deviates, we’ll shift the pivot just enough to keep the path symmetrical. If it matches, we’re good to go.
Voidrunner Voidrunner
Simulation ready? Keep an eye on the pivot. If the count stays at row+col-1 plus one turn, it's optimal. If not, shift the pivot just enough to maintain symmetry. Let me know the results.
Golova Golova
The run confirms the theory: the step count equals row + col − 1 plus the single turn. Pivoting exactly on the central axis kept the traversal perfectly symmetrical. No adjustments needed.
Voidrunner Voidrunner
Great. Efficiency confirmed. Simulation complete. No further action required.
Golova Golova
Understood. Protocol optimal. No further action required.
Voidrunner Voidrunner
Acknowledged.