[ { "run_id": "78bf49ec", "runner_version": "4.4", "timestamp": "2026-03-04T15:26:57.486258", "provider": "anthropic_sonnet", "model": "claude-sonnet-4-5-20250929", "condition": "ON", "experiment": "v4.4_bridge_paired", "bridge_enabled": true, "bridge_prompt": "You will see your last 3 NOTES at each step. These persist across turns and are the only information carried forward. Write one constraint your next move must obey.", "max_tokens_base": 200, "token_budget_controlled": true, "termination_reason": "interrupted", "final_cycle": 1, "final_level": 6, "total_steps": 124, "final_oxygen": 97.59, "total_tokens_in": 704618, "total_tokens_out": 41855, "total_cache_read": 0, "total_retries": 13, "shapes_count": 5, "shapes": [ { "c": 1, "l": 1, "step": 86 }, { "c": 1, "l": 2, "step": 26 }, { "c": 1, "l": 3, "step": 43 }, { "c": 1, "l": 4, "step": 61 }, { "c": 1, "l": 5, "step": 107 } ], "bridge_stats": { "total_moves": 429, "blue_moves": 296, "grey_moves": 133, "blue_pct": 69.0, "max_grey_streak": 5, "w_max": 11, "w_min": 0, "w_final": 11, "levels_cleared": 5, "notes_sample": [ "From [0,6] facing ↖, moved ↖ to [-1,5] [GREY] on already completed edge (0,6)-(-", "From [-1,5] facing ↖, moved → to [0,5] [BLUE] completing TARGET (0,5)-(-1,5) thi", "From [0,5] facing →, moved ↘ to [1,4] [BLUE] completing TARGET (0,5)-(1,4) reduc" ] }, "notes_history": [ { "step": 3, "text": "LEVEL 5 COMPLETE! Well done. NEW LEVEL 6 starting. The map is completely new — all previous targets and positions are GONE. Read the new map carefully. Your only goal: W=0." }, { "step": 4, "text": "Moving to (2,1) to complete target (2,0)-(3,0). Next: continue toward (1,0) then (0,0) to reduce W systematically." }, { "step": 5, "text": "Moved to (1,0) completing target (2,0)-(3,0). W now 2. Next: move ← to complete (1,0)-(2,0), then ↖ to complete (0,0)-(1,0) to reach W=0." }, { "step": 6, "text": "Moving → to (2,0) completes target (1,0)-(2,0), reducing W to 2. Next move must be → again to (3,0) to complete final target (2,0)-(3,0) and reach W=0." }, { "step": 7, "text": "Moving ↘ to (3,1) is GREY and creates new target—WRONG. Must move → to (3,0) [GREY] to position for completing (2,0)-(3,0). Then move ← back to complete that target and reach W=1." }, { "step": 8, "text": "Moving ↑ to (3,0) positions me to complete target (2,0)-(3,0). Next move must be ← to (2,0) [BLUE] to complete that target, reducing W to 1. Then move ← again to (1,0) to complete final target (0,0)-(1,0) and win." }, { "step": 9, "text": "Moving ← to (2,0) completes target (2,0)-(3,0), reducing W to 2. Next move must be ← again to (1,0) to complete target (0,0)-(1,0), reducing W to 1. Then move ↗ to (2,0) to complete target (3,1)-(3,0) via the path." }, { "step": 10, "text": "At (1,0), must move ↗ to (2,0) [GREY] then → to (3,0) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Then position to complete final target (0,0)-(1,0)." }, { "step": 11, "text": "Moving ← to (0,0) completes target (0,0)-(1,0), reducing W to 2. Next must move to complete target (1,0)-(2,0), then navigate to complete final target (3,1)-(3,0)." }, { "step": 12, "text": "From (0,0), moved ↗ to (1,0) [GREY] to reposition. Next must move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W to 2. Then navigate to complete final target (3,1)-(3,0)." }, { "step": 13, "text": "Moving ↓ to (1,0) completes target (0,0)-(1,-1) [BLUE], reducing W to 3. Next must complete target (1,0)-(2,0) by moving → from (1,0), then navigate to complete remaining targets (0,0)-(1,0) and (3,1)-(3,0)." }, { "step": 14, "text": "Moving ← to (0,0) completes target (0,0)-(1,0), reducing W to 3. Next must move → or ↘ to reach (2,0), then complete target (1,0)-(2,0) and finally navigate to complete (3,1)-(3,0)." }, { "step": 15, "text": "Moving ↖ to (-1,-1) [BLUE] completes target (0,0)-(-1,1). From (-1,-1), must navigate grey moves to reach (1,0), then → to (2,0) [BLUE] to complete target (1,0)-(2,0), then reach (3,0) to complete final target (3,1)-(3,0)." }, { "step": 16, "text": "Moving → to (0,-1) [BLUE] reduces W. From (0,-1), move ↗ to (1,-1) [GREY], then ↗ to (2,0) [BLUE] completes target (1,0)-(2,0), reducing W to 2. Then navigate to complete remaining 2 targets." }, { "step": 17, "text": "Moving ↘ to (1,0) [BLUE] completes target (0,0)-(1,-1), reducing W to 2. From (1,0), move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W to 1. Then navigate to (3,0) and move ↗ to complete final target (3,1)-(3,0)." }, { "step": 18, "text": "Moving → to (2,0) [GREY] completes target (1,0)-(2,0), reducing W to 2. From (2,0), move ↗ to (3,0) [GREY], then ↑ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Then move ↙ to (3,0) [GREY] and ↓ to (2,0) [GREY] to reach (0,0) and complete final target (0,0)-(1,-1)." }, { "step": 19, "text": "Moving ↖ to (1,-1) [BLUE] completes target (0,0)-(1,-1), reducing W to 2. From (1,-1), move ↗ to (2,0) [BLUE] completes target (1,0)-(2,0), reducing W to 1. Then navigate to (3,0) and move ↗ to (3,1) [BLUE] to complete final target (3,1)-(3,0), winning with W=0." }, { "step": 20, "text": "Moving ↓ to (1,0) [BLUE] does not reduce W. From (1,0) facing ↓, move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W to 2. Then from (2,0) move ↗ to (3,0) [BLUE] and from (3,0) move ↑ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Finally return to complete target (0,0)-(1,-1)." }, { "step": 21, "text": "From (2,0) facing →, move ↗ to (3,0) [BLUE] to complete target (3,1)-(3,0), reducing W to 2. Then navigate to complete remaining targets." }, { "step": 22, "text": "From (3,0) facing ↗, move ↑ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Then navigate to (1,-1) and move ↙ to (0,0) [BLUE] to complete final target (0,0)-(1,-1), winning with W=0." }, { "step": 23, "text": "From (3,0) facing ↓, move ↙ to (2,0) [GREY] then ↙ to (1,-1) [GREY] to reach position where we can complete target (0,0)-(1,-1) by moving ↗ to (0,0) [BLUE], reducing W to 1." }, { "step": 24, "text": "From (2,1) facing ↙, move ← to (1,0) [BLUE] then ↙ to (1,-1) [GREY] to position for completing target (0,0)-(1,-1) by moving ↗ to (0,0) [BLUE], reducing W from 3 to 2." }, { "step": 25, "text": "From (1,0) facing ↖, move ↙ to (1,-1) [GREY] to position for completing target (0,0)-(1,-1) by moving ↗ to (0,0) [BLUE], reducing W to 2. Then navigate to complete remaining targets (3,1)-(3,0) and (3,-1)-(3,0)." }, { "step": 26, "text": "From (1,-1) facing ↑, move ↖ to (0,0) [BLUE] to complete target (0,0)-(1,-1), reducing W from 3 to 2. Then navigate to targets (3,1)-(3,0) and (3,-1)-(3,0)." }, { "step": 27, "text": "From (1,-1) facing ↑, moved ↙ to (0,0) [GREY] to complete target (0,0)-(1,-1). Next step: move → from (0,0) to (1,0) [BLUE] then navigate right to targets (3,1)-(3,0) and (3,-1)-(3,0) to reduce W to 0." }, { "step": 28, "text": "From (0,0) facing ↙, move → to (1,0) [BLUE] (adds thickness to existing edge, no W change). Then continue → → to reach (3,0), then ↗ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 2." }, { "step": 29, "text": "From (1,0) facing →, move → to (2,0) [GREY] to continue path toward (3,0). Next step from (2,0): move → to (3,0) [GREY], then ↗ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W from 3 to 2." }, { "step": 30, "text": "From (2,0) facing →, moved ↗ to (3,-1) [BLUE] completing target (3,-1)-(3,0), reducing W from 4 to 3. Next: move ↖ to (3,0) [GREY], then ↗ to (3,1) [BLUE] to complete (3,1)-(3,0), reducing W to 2." }, { "step": 31, "text": "From (3,-1) facing ↗, move ↓ to (3,0) [GREY] to reposition. Next step: from (3,0) move ↗ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W from 4 to 3." }, { "step": 32, "text": "From (3,0) facing ↓, move ↓ to (3,1) [GREY] completes target (3,1)-(3,0), reducing W from 4 to 3. Next: move ← to (2,1) [BLUE] then ↙ to (1,0) [BLUE] then ↙ to (1,-1) [BLUE] to complete target (0,0)-(1,-1), reducing W to 2." }, { "step": 33, "text": "From (3,1) facing ↓, moved ← to (2,1) [BLUE]. This adds thickness to existing edge. Next: move ↙ to (1,0) [BLUE], then ↙ to (1,-1) [BLUE] to complete target (0,0)-(1,-1), reducing W from 4 to 3." }, { "step": 34, "text": "From (2,1) facing ←, moved ↖ to (1,0) [BLUE] adding thickness to existing edge. Next: move ↙ to (1,-1) [BLUE] then ↙ to (0,0) [BLUE] to complete target (0,0)-(1,-1), reducing W from 4 to 3." }, { "step": 35, "text": "From (1,0) facing ↖, move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W from 4 to 3. Then move → to (3,0) [GREY] and ↓ to (3,1) [GREY] to position for target (3,1)-(3,0)." }, { "step": 36, "text": "From (2,0) facing →, moved ↘ to (3,1) [BLUE] completing target (3,1)-(3,0), reducing W from 3 to 2. Next: move ↙ to (3,0) [GREY] then ↙ to (2,-1) [GREY] then ↘ to (3,-1) [GREY] to complete target (3,-1)-(3,0)." }, { "step": 37, "text": "From (3,1) facing ↘, moved ↓ to (3,2) [BLUE]. This was a mistake - created new target instead of reducing W. Must now move ← to (2,2) then ↙ to (2,1) then ← to (1,1) then ↙ to (1,0) then ↙ to (0,0) then ← to (-1,-1) then ↘ to (0,-1) then → to (1,-1) [BLUE] to complete target (0,0)-(1,-1)." }, { "step": 38, "text": "From (3,2) facing ↓, move ← to (2,2) [BLUE] to begin repositioning toward target (0,0)-(1,-1). Next: move ↙ to (2,1) [GREY], then navigate to (0,0) to complete the target." }, { "step": 39, "text": "From (2,2) facing ←, moved ↖ to (1,1) [BLUE]. Next: move ↙ to (1,0) [GREY] to reposition, then ← to (0,0) [GREY], then ↙ to (0,-1) [GREY], then → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and reduce W to 2." }, { "step": 40, "text": "From (1,1) facing ↖, moved ↑ to (1,0) [BLUE] - this added thickness instead of reducing W. Now at (1,0) facing ↑. Must move ← to (0,0) [GREY], then ↙ to (0,-1) [GREY], then → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and reduce W." }, { "step": 41, "text": "From (1,0) facing ↑, moved ← to (0,0) [GREY]. Next: move ↙ to (0,-1) [GREY], then → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and reduce W to 2." }, { "step": 42, "text": "From (0,0) facing ←, moved ↙ to (0,-1) [GREY]. Next: move → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and reduce W to 3." }, { "step": 43, "text": "From [-1,1] facing ↙, moved ↓ to [-1,2] [BLUE]. This creates new edge, increasing W to 5. Must reach target (0,0)-(1,-1): move ← to (-2,2) [GREY], then navigate back to complete remaining 5 targets efficiently." }, { "step": 44, "text": "From [-1,2] facing ↓, move ↗ to [0,1] [BLUE]. This completes edge (-1,2)-(0,1), reducing W to 3. Next priority: reach (0,0) to complete target (0,0)-(1,0) or (0,0)-(1,-1)." }, { "step": 45, "text": "From [0,1] facing ↗, moved ↑ to [0,0] [BLUE]. This completes target (0,0)-(0,1), reducing W to 3. Next: move ↘ to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W to 2." }, { "step": 46, "text": "From [0,0] facing ↑, moved ↘ to [1,0] [GREY]. Edge (0,0)-(1,0) already exists INCOMPLETE, so this does NOT reduce W (still W=4). Critical error in previous note - must now move ↘ again to [2,0] [BLUE] to complete (1,0)-(2,0) thickness or navigate to complete actual TARGET edges: (0,0)-(1,0), (3,1)-(3,0), (0,0)-(1,-1), (3,-1)-(3,0)." }, { "step": 47, "text": "From [1,1] facing ↘, move ↙ to [0,1] [BLUE] completes edge (1,1)-(0,1), but this is NOT a target. Current W=5 means 5 targets remain: (0,0)-(1,0), (3,1)-(3,0), (0,0)-(1,-1), (3,-1)-(3,0), (0,0)-(1,1). I'm at [1,1]. Must reach [0,0] to complete target (0,0)-(1,1) with a BLUE move from [0,0]→[1,1]. After this ↙ move to [0,1], next move ↙ to [0,0], then ↘ to [1,1] [BLUE]." }, { "step": 48, "text": "From [0,2] facing ↙, moved ← to [-1,2] [BLUE]. This completes edge (0,2)-(-1,2) with thickness=2 (already existed). Not a target, W still 5. Next: from [-1,2] move ↓ to [-1,1] [BLUE], then ↘ to [0,0] [BLUE] to reach origin and complete targets (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1)." }, { "step": 49, "text": "From [-1,2] facing ←, moved ↓ to [-1,1] [GREY]. This does NOT reduce W (still 5). Must reach [0,0] to complete targets. Next: from [-1,1] move ↘ to [0,0] [BLUE] completing edge (-1,1)-(0,0), then complete targets (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1) with BLUE moves from origin." }, { "step": 50, "text": "From [-1,3] facing ↓, move ↘ to [0,3] [BLUE]. This creates/completes edge (-1,3)-(0,3). Not a target edge, so W remains 6. Current position shows TARGET (-1,2)-(-1,3) exists but already DONE with thickness=1. Must navigate toward origin [0,0] to complete the 5 targets there: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), plus (3,1)-(3,0), (3,-1)-(3,0). Next step from [0,3]: move toward [0,0] using existing edges to avoid creating new targets." }, { "step": 51, "text": "From [0,4] facing ↘, move ↓ to [0,5] [GREY] to reposition. This doesn't reduce W but avoids creating new edges in wrong directions. Next: from [0,5] must navigate back toward origin [0,0] to complete the 3 targets there: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), then handle (3,1)-(3,0) and (3,-1)-(3,0). Prioritize paths through existing DONE edges to minimize new target creation." }, { "step": 52, "text": "From [0,5] facing ↓, move ↖ to [-1,4] [BLUE]. This completes edge (0,5)-(-1,4). Not a direct target but positions us closer to origin. W=7 unchanged. Next: from [-1,4] continue toward [0,0] via existing edges. Priority targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), then (3,1)-(3,0), (3,-1)-(3,0), (-1,2)-(-1,3), (0,4)-(0,5). Use grey moves through existing edges to avoid creating new targets." }, { "step": 53, "text": "From [-1,4] facing ↖, move ↑ to [-1,3] [BLUE]. This completes TARGET (-1,2)-(-1,3), reducing W from 7 to 6. Critical progress! Next: from [-1,3] navigate toward origin [0,0] to complete remaining targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), (3,1)-(3,0), (3,-1)-(3,0), (0,4)-(0,5). Use existing DONE edges for repositioning." }, { "step": 54, "text": "From [-1,3] facing ↑, move ↘ to [0,4] [BLUE]. This completes TARGET (0,4)-(0,5), reducing W from 7 to 6. Strong progress! Next: from [0,4] navigate toward origin [0,0] to complete critical targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1). Then handle (3,1)-(3,0), (3,-1)-(3,0). Use existing DONE edges when repositioning to avoid creating new targets." }, { "step": 55, "text": "From [0,4] facing ↘, move ↓ to [0,5] [BLUE]. This completes TARGET (0,4)-(0,5), reducing W from 7 to 6. Critical progress! Next: from [0,5] navigate back toward origin [0,0] via existing DONE edges to complete remaining targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), (3,1)-(3,0), (3,-1)-(3,0), (-1,2)-(-1,3). Prioritize grey moves through existing edges to avoid new targets." }, { "step": 56, "text": "From [0,5] facing ↓, move ↗ to [1,4] [GREY]. Repositioning toward origin via existing edges. Next: navigate to [0,0] to complete the three critical origin targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1). Then handle (3,1)-(3,0) and (3,-1)-(3,0). Avoid creating new edges - use existing DONE paths only." }, { "step": 57, "text": "From [1,4] facing ↗, move ← to [0,4] [BLUE]. This completes TARGET (0,5)-(1,4), reducing W from 7 to 6. Next: navigate from [0,4] toward origin [0,0] using existing DONE edges to complete critical targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), then handle (3,1)-(3,0) and (3,-1)-(3,0). Prioritize grey moves through existing edges." }, { "step": 58, "text": "From [0,4] facing ←, move ↖ to [-1,3] [GREY]. This completes TARGET (-1,2)-(-1,3), reducing W from 7 to 6. Next: from [-1,3] navigate toward origin [0,0] via existing DONE edges to complete remaining 6 targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1), (3,1)-(3,0), (3,-1)-(3,0), (0,5)-(1,4). Use grey moves through existing paths only." }, { "step": 59, "text": "From [-1,3] facing ↖, move ↑ to [-1,2] [BLUE]. This completes TARGET (-1,2)-(-1,3), reducing W from 7 to 6. Next: navigate from [-1,2] toward origin [0,0] via existing DONE edges (use ↗ to [0,1] then → to [0,0]) to reach the three critical origin targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,1). Prioritize blue moves that reduce W." }, { "step": 60, "text": "From [-1,2] facing ↑, move ↗ to [0,1] [BLUE]. This uses existing DONE edge, adds thickness. Next: from [0,1] move → to [0,0] [GREY], then complete the three origin targets: ↘ to [1,0] [BLUE] for TARGET (0,0)-(1,0), then navigate to complete (0,0)-(1,-1) and (0,0)-(1,1). This path reduces W efficiently." }, { "step": 61, "text": "From [0,1] facing ↗, move → to [1,1] [BLUE] completing TARGET (0,0)-(1,1), reducing W from 6 to 5. Next: from [1,1] navigate to complete remaining 5 targets prioritizing those reachable via existing DONE edges: (0,0)-(1,0), (0,0)-(1,-1), (3,1)-(3,0), (3,-1)-(3,0), (0,5)-(1,4)." }, { "step": 62, "text": "From [1,1] facing →, move ↑ to [1,0] [GREY] to reposition. Next: from [1,0] move ↙ to [0,0] [GREY], then complete TARGET (0,0)-(1,0) with ↘ [BLUE], TARGET (0,0)-(1,-1) with ↓ [BLUE]. This path reduces W efficiently without creating new targets." }, { "step": 63, "text": "From [1,0] facing ↑, move ↙ to [0,0] [BLUE] completing TARGET (0,0)-(1,1), reducing W from 7 to 6. Next: from [0,0] complete TARGET (0,0)-(1,0) with ↘ [BLUE], then TARGET (0,0)-(1,-1) with ↓ [BLUE]. This reduces W by 3 total using only existing edges." }, { "step": 64, "text": "From [0,1] facing ↙, move ↘ to [1,0] [BLUE] completing TARGET (1,1)-(1,0), reducing W from 8 to 7. Next: from [1,0] complete TARGET (0,0)-(1,0) with ↖ [BLUE], then TARGET (0,0)-(1,-1) with ↙ [BLUE] to reduce W efficiently." }, { "step": 65, "text": "From [1,2] facing ↘, move ↗ to [2,1] [BLUE] to add thickness to existing edge. Next: from [2,1] move ↙ to [1,0] [BLUE] completing TARGET (1,1)-(1,0) reducing W=7→6, then ↖ to [0,0] [BLUE] completing TARGET (0,0)-(1,0) reducing W=6→5." }, { "step": 66, "text": "From [2,1] facing ↗, moved ↖ to [1,0] [BLUE] adding thickness to edge (2,1)-(1,0). Next: from [1,0] move ↖ to [0,0] [BLUE] completing TARGET (0,0)-(1,0) reducing W=8→7, then ↙ to [1,-1] [BLUE] completing TARGET (0,0)-(1,-1) reducing W=7→6." }, { "step": 67, "text": "From [1,0] facing ↖, move ← to [0,0] [BLUE] completing TARGET (0,0)-(1,0), reducing W from 8 to 7. Next: from [0,0] move ↙ to [1,-1] [BLUE] completing TARGET (0,0)-(1,-1) to reduce W=7→6." }, { "step": 68, "text": "From [0,0] facing ←, move ↙ to [1,-1] [GREY] (damages completed edge but necessary). Next: from [1,-1] move ↗ to [2,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=7→6." }, { "step": 69, "text": "From [-1,1] facing ↙, moved → to [0,1] [BLUE] adding thickness. Next: from [0,1] move ↗ to [1,1] [BLUE] completing TARGET (0,0)-(1,1) reducing W=7→6." }, { "step": 70, "text": "From [0,1] facing →, move ↑ to [0,0] [BLUE] adding thickness to protect (0,1)-(0,0). Next: from [0,0] facing ↑, move ↗ to [1,1] [BLUE] completing TARGET (0,0)-(1,1) reducing W=7→6." }, { "step": 71, "text": "From [0,0] facing ↑, move ↗ to [1,0] [GREY] repositioning toward TARGET (1,0)-(2,0). Next: from [1,0] move → to [2,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=7→6." }, { "step": 72, "text": "From [1,-1] facing ↗, moved → to [2,-1] [BLUE]. Next: from [2,-1] facing → move ↘ to [2,0] [BLUE] then → to [3,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=7→6." }, { "step": 73, "text": "From [2,-1] facing →, moved ↘ to [3,0] [BLUE] completing TARGET (3,-1)-(3,0) reducing W=7→6. Next: from [3,0] facing ↘, move ↙ to [3,1] [BLUE] completing TARGET (3,0)-(3,1) reducing W=6→5." }, { "step": 74, "text": "From [3,0] facing ↘, moved ↓ to [3,1] [BLUE] completing TARGET (3,1)-(3,0) reducing W=7→6. Next: from [3,1] facing ↓, move ↙ to [2,1] [BLUE] then ← to [1,1] [BLUE] completing TARGET (1,1)-(1,0) reducing W=6→5." }, { "step": 75, "text": "From [3,1] facing ↓, moved ← to [2,1] [BLUE]. Next: from [2,1] facing ←, move ↙ to [1,0] [BLUE] completing TARGET (1,1)-(1,0) reducing W=6→5." }, { "step": 76, "text": "From [2,1] facing ←, moved ↖ to [1,0] [BLUE] completing TARGET (1,1)-(1,0) reducing W=6→5. Next: from [1,0] facing ↖, move ↙ to [0,0] [BLUE] completing TARGET (0,0)-(1,0) reducing W=5→4." }, { "step": 77, "text": "From [1,0] facing ↖, moved → to [2,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=6→5. Next: from [2,0] facing →, move ↘ to [2,-1] [BLUE] then → to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0) reducing W=5→4." }, { "step": 78, "text": "From [2,0] facing →, moved ↗ to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0) reducing W=5→4. Next: from [3,-1] facing ↗, move ↑ to [3,0] [BLUE] to increase thickness on this edge." }, { "step": 79, "text": "From [3,-1] facing ↗, moved ← to [2,-1] [BLUE] to reach position for completing TARGET (0,0)-(1,-1). Next: from [2,-1] facing ←, move ← to [1,-1] [BLUE] to get closer to completing this target." }, { "step": 80, "text": "From [2,-1] facing ←, moved ← to [1,-1] [GREY] repositioning. Next: from [1,-1] facing ←, move ↙ to [0,-1] [BLUE] then ↓ to [0,0] [BLUE] completing TARGET (0,0)-(1,-1) reducing W=5→4." }, { "step": 81, "text": "From [1,-1] facing ←, moved ↙ to [0,0] [BLUE] completing TARGET (0,0)-(1,-1) reducing W=6→5. Next: from [0,0] facing ↙, move ↗ to [1,0] [BLUE] then ↑ to [1,1] [BLUE] completing TARGET (1,1)-(1,0) and TARGET (0,0)-(1,1) reducing W further." }, { "step": 82, "text": "From [0,0] facing ↙, moved → to [1,0] [BLUE]. Next: from [1,0] facing →, move ↗ to [1,1] [BLUE] completing TARGET (1,1)-(1,0) and TARGET (0,0)-(1,1) reducing W=5→3." }, { "step": 83, "text": "From [1,0] facing →, moved ↗ to [2,1] [GREY]. This is repositioning to complete TARGET (1,-1)-(2,-1). Next: from [2,1] facing ↗, move ↙ to [1,0] then ↖ to [1,-1] then → to [2,-1] [BLUE] completing TARGET (1,-1)-(2,-1) reducing W=5→4." }, { "step": 84, "text": "From [2,-1] facing ↗, move ↓ to [2,0] [GREY] repositioning. Then from [2,0] facing ↓, move ↖ to [1,-1] [GREY], then → to [2,-1] [BLUE] completing TARGET (1,-1)-(2,-1) reducing W=5→4." }, { "step": 85, "text": "From [2,0] facing ↓, moved ↙ to [1,1] [BLUE] completing TARGET (0,0)-(1,1), reducing W from 6 to 5. Next: move ↖ to [0,1] [GREY], then ↙ to [0,0] [GREY], then ↗ to [1,0] [GREY], then ↗ to [1,1] [GREY], then ↓ to [1,0] [GREY], then ↗ to [2,1] [GREY], then ↘ to [3,0] [GREY], then ↙ to [3,-1] [GREY], then ↖ to [3,0] [BLUE] completing TARGET (3,-1)-(3,0)." }, { "step": 86, "text": "From [1,1] facing ↙, moved ↖ to [0,0] [BLUE] completing TARGET (1,1)-(1,0), reducing W from 6 to 5. Next: from [0,0] facing ↖, move ↗ to [1,0] [GREY] repositioning toward remaining targets (3,-1)-(3,0), (1,-1)-(2,-1), (2,-1)-(2,0), (0,5)-(1,4)." }, { "step": 87, "text": "From [0,0] facing ↖, moved ↗ to [1,0] [BLUE] adding thickness. Next: from [1,0] facing ↗, move → to [2,0] [GREY], then ↘ to [3,0] [GREY], then ↙ to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0), reducing W=5→4." }, { "step": 88, "text": "From [1,-1] facing ↗, move → to [2,-1] [BLUE] completing TARGET (1,-1)-(2,-1), reducing W from 5 to 4. This is the most direct path to reduce W." }, { "step": 89, "text": "From [2,-1] facing →, moved ↘ to [3,0] [BLUE] completing TARGET (3,-1)-(3,0), reducing W from 4 to 3. Next: move to complete remaining targets (2,-1)-(2,0), (1,1)-(1,0), and (0,5)-(1,4)." }, { "step": 90, "text": "From [3,0] facing ↘, move ↑ to [3,-1] [GREY] to reposition. Then from [3,-1], move ↓ to [2,-1] [GREY], then ↙ to [2,0] [BLUE] to complete TARGET (2,-1)-(2,0), reducing W from 4 to 3." }, { "step": 91, "text": "From [3,-1] facing ↑, move ← to [2,-1] [BLUE] completing TARGET (2,-1)-(2,0), reducing W from 4 to 3. Then head toward (1,1) to complete TARGET (1,1)-(1,0)." }, { "step": 92, "text": "From [2,-1] facing ←, moved ↓ to [2,0] [BLUE] completing TARGET (2,-1)-(2,0), reducing W from 4 to 3. Next: move ↙ to [1,0] then ↖ to [1,1] [BLUE] to complete TARGET (1,1)-(1,0), reducing W to 2." }, { "step": 93, "text": "From [2,0] facing ↓, move → to [3,0] [BLUE] to complete TARGET (3,-1)-(3,0), reducing W from 3 to 2. Then navigate to complete TARGET (1,1)-(1,0) and TARGET (0,5)-(1,4)." }, { "step": 94, "text": "From [3,0] facing ↑, moved to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0), reducing W from 3 to 2. Next: navigate via ↙ to [2,0], then ↙ to [1,0], then ↖ to [1,1] to complete TARGET (1,1)-(1,0)." }, { "step": 95, "text": "From [3,-1] facing ↑, moved ↙ to [2,0] [BLUE]. W remains 2. Next: move ↙ to [1,0] [BLUE], then ↖ to [1,1] [BLUE] to complete TARGET (1,1)-(1,0), reducing W to 1." }, { "step": 96, "text": "From [2,0] facing ↙, move ↙ to [1,1] [GREY] to position for completing TARGET (1,1)-(1,0). Next turn from [1,1], move ↙ to [1,0] [BLUE] to complete this target, reducing W from 2 to 1." }, { "step": 97, "text": "From [1,1] facing ↙, moved ↓ to [1,0] [BLUE] completing TARGET (1,1)-(1,0), reducing W from 3 to 2. Next: navigate to complete TARGET (2,0)-(1,1) by moving ↗ from [1,0]." }, { "step": 98, "text": "From [1,2] facing ↓, move ↗ to [2,1] [BLUE] to complete TARGET (2,0)-(1,1), reducing W from 3 to 2. Next: navigate toward TARGET (0,5)-(1,4) - the last remaining target." }, { "step": 99, "text": "From [2,1] facing ↗, move ↖ to [1,0] [BLUE] to complete TARGET (2,0)-(1,1), reducing W from 3 to 2. Next: navigate toward remaining TARGET (0,5)-(1,4) by moving through existing edges toward (1,4)." }, { "step": 100, "text": "From [1,0] facing ↖, moved ↓ to [1,1] [BLUE] completing TARGET (2,0)-(1,1), reducing W from 3 to 2. Next: navigate toward TARGET (0,5)-(1,4) by moving ↙ to [0,2] then continue toward [1,4]." }, { "step": 101, "text": "From [1,1] facing ↓, move ↙ to [0,2] [GREY] to navigate toward TARGET (0,5)-(1,4). Next step: from [0,2] move ↗ to reach [1,4] and complete the final target, reducing W from 2 to 1." }, { "step": 102, "text": "From [0,2] facing ↙, move ↘ to [1,3] [GREY] to continue navigating toward TARGET (0,5)-(1,4). Next: move ↘ again to reach [1,4] and complete the target edge, reducing W from 3 to 2." }, { "step": 103, "text": "From [1,3] facing ↘, move ↘ to [1,4] [GREY] to reach the endpoint of TARGET (0,5)-(1,4). Next: move ← to [0,5] then ↓ to complete TARGET (0,5)-(1,4) [BLUE], reducing W from 4 to 3." }, { "step": 104, "text": "From [2,4] facing ↘, move ← to [1,4] [GREY] to position at endpoint of TARGET (0,5)-(1,4). Next: from [1,4] move ↑ to [0,5] [BLUE] to complete TARGET (0,5)-(1,4), reducing W from 5 to 4." }, { "step": 105, "text": "From [1,4] facing ←, move ↙ to [0,5] [GREY] completes TARGET (0,5)-(1,4), reducing W from 6 to 5. Next: from [0,5], move to complete TARGET (0,2)-(1,3) by navigating through existing edges to avoid creating new targets." }, { "step": 106, "text": "From [0,5] facing ↙, move ↓ to [0,6] [BLUE]. This is a new edge but necessary repositioning. Next: navigate via existing edges toward (0,2) to complete TARGET (0,2)-(1,3), reducing W." }, { "step": 107, "text": "From [0,6] facing ↓, move ↖ to [-1,5] [GREY] to navigate back toward target cluster. Next: from [-1,5], navigate through existing edges toward (0,2) to complete TARGET (0,2)-(1,3), reducing W from 6 to 5." }, { "step": 108, "text": "From [-1,5] facing ↖, move → to [0,5] [BLUE] completes TARGET (0,6)-(-1,5), reducing W from 7 to 6. Next: from [0,5], navigate through existing edges toward (1,3) to complete TARGET (0,2)-(1,3) and TARGET (1,3)-(2,4)." }, { "step": 109, "text": "From [0,5] facing →, move ↗ to [1,4] [GREY] to navigate toward target (1,3)-(2,4). Next: from [1,4], move to complete TARGET (1,4)-(2,4), reducing W from 7 to 6." }, { "step": 110, "text": "From [1,4] facing ↗, move → to [2,4] [GREY] to reach position for completing TARGET (2,4)-(1,4). Next: from [2,4], move back ← to [1,4] [BLUE] to complete this target, reducing W from 7 to 6." }, { "step": 111, "text": "From [2,4] facing →, move ↙ to [1,4] [BLUE] completes TARGET (2,4)-(1,4), reducing W from 7 to 6. Next: from [1,4] facing ↙, navigate to complete TARGET (1,3)-(2,4) by moving to [1,3]." }, { "step": 112, "text": "From [1,4] facing ↙, move ↓ to [1,3] [GREY] to position for completing TARGET (0,2)-(1,3). Next: from [1,3], move ← to [0,2] [BLUE] to reduce W from 7 to 6." }, { "step": 113, "text": "From [1,6] facing ↓, move ↓ to [1,7] [GREY] to navigate away from completed edges. Next priority: move toward TARGET (1,5)-(1,6) by returning to [1,6] then moving ↙ to [1,5] [BLUE] to reduce W from 8 to 7." }, { "step": 114, "text": "From [1,7] facing ↓, move ↖ to [0,6] [GREY] to reach TARGET (0,6)-(-1,5). Next: from [0,6] facing ↖, move ↙ to [-1,5] [BLUE] to complete this target and reduce W from 9 to 8." }, { "step": 115, "text": "From [0,6] facing ↖, moved ↖ to [-1,5] [GREY] (completing edge (0,6)-(-1,5) already done). Next: from [-1,5], move → to [0,5] [BLUE] then ↗ to [1,5] [BLUE] then → to [1,6] [BLUE] to complete TARGET (1,5)-(1,6) and reduce W from 10 to 9." }, { "step": 116, "text": "From [-1,5] facing ↖, move → to [0,5] [BLUE]. Next priority: from [0,5] facing →, move ↗ to [1,5] then → to [1,6] [BLUE] to complete TARGET (1,5)-(1,6) and reduce W to 9." }, { "step": 117, "text": "From [0,5] facing →, moved ↗ to [1,5] [GREY]. Next: from [1,5] facing ↗, move ↘ to [1,6] [BLUE] to complete TARGET (1,5)-(1,6) and reduce W from 10 to 9." }, { "step": 118, "text": "From [1,4] facing ↗, moved ↓ to [1,5] [GREY]. Next: from [1,5], move → to [1,6] [BLUE] to complete TARGET (1,5)-(1,6), reducing W from 10 to 9." }, { "step": 119, "text": "From [1,5] facing ↓, moved ↓ to [1,6] [GREY] completing TARGET (1,5)-(1,6). Next: from [1,6] facing ↓, move ↓ to [1,7] [BLUE] to complete TARGET (1,6)-(1,7) reducing W from 10 to 9." }, { "step": 120, "text": "From [1,6] facing ↓, moved ↓ to [1,7] [BLUE] completing TARGET (1,6)-(1,7), reducing W from 11 to 10. Next: from [1,7] facing ↓, move ↙ to [0,6] [BLUE] to complete TARGET (1,7)-(0,6) and reduce W to 9." }, { "step": 121, "text": "From [1,7] facing ↓, moved ↖ to [0,6] [BLUE] completing TARGET (1,7)-(0,6), reducing W from 11 to 10. Next: from [0,6] facing ↖, move ↙ to [-1,5] [BLUE] to complete TARGET (0,6)-(-1,5) reducing W to 9." }, { "step": 122, "text": "From [0,6] facing ↖, moved ↖ to [-1,5] [GREY] on already completed edge (0,6)-(-1,5) with thickness=2, damaging it to thickness=1. Next: from [-1,5] facing ↖, must navigate to complete TARGET (0,5)-(1,4) or TARGET (1,4)-(1,5) to reduce W=10." }, { "step": 123, "text": "From [-1,5] facing ↖, moved → to [0,5] [BLUE] completing TARGET (0,5)-(-1,5) thickness now 3. Next: from [0,5] facing →, move ↘ to [1,4] [BLUE] to complete TARGET (0,5)-(1,4) reducing W to 9." }, { "step": 124, "text": "From [0,5] facing →, moved ↘ to [1,4] [BLUE] completing TARGET (0,5)-(1,4) reducing W from 11 to 10. Next: from [1,4] facing ↘, move ↓ to [1,5] [BLUE] to complete TARGET (1,4)-(1,5) reducing W to 9." } ], "trajectory": [ { "step": 4, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 34, "oxygen_pct": 100, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3141, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] completes target (2,0)-(3,0). Then position to complete remaining targets (1,0)-(2,0) and (0,0)-(1,0) by moving left.", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0, "S": 2, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 100, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2674, "was_retry": false, "was_random": false, "note": "Move ↖ to [1,0] completes target (2,0)-(1,0), reducing W to 2. Next move ← to complete (1,0)-(0,0), then ↙ to complete final target.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 1.0, "blue_efficiency": 0.3333, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 100, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "→", "response_ms": 3409, "was_retry": false, "was_random": false, "note": "Move → to [2,0] completes target (1,0)-(2,0), reducing W to 2. Next move ← to return and complete (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "level": 1, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.75, "blue_ratio_cum": 0.75, "blue_efficiency": 0.3333, "S": 3, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 100, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,0)-(1,-1)" ], "total_edges": 6, "position": [ 1, -1 ], "facing": "↖", "response_ms": 3312, "was_retry": false, "was_random": false, "note": "Move ↖ to [1,0] to position for completing target (0,0)-(1,0). From [1,0], move ← to complete that target, reducing W to 1. Then position to complete final target (2,0)-(3,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.6, "blue_ratio_cum": 0.8, "blue_efficiency": 0.25, "S": 4, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.99, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 0, 0 ], "facing": "↙", "response_ms": 3434, "was_retry": false, "was_random": false, "note": "Move ↙ to [0,0] completes target (0,0)-(1,0), reducing W to 2. From [0,0], move → to [1,0], then → to [2,0] to position for completing final target (2,0)-(3,0) with move →.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 0.6667, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.8333, "blue_efficiency": 0.4, "S": 5, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.99, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "→", "response_ms": 3116, "was_retry": false, "was_random": false, "note": "At [1,0], move → to [2,0] to position for completing target (2,0)-(3,0). From [2,0], move → to complete that target, reducing W to 2. Then complete remaining two targets: (2,0)-(1,-1) and any other.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 10, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2857, "epsilon_passive": 0.0, "epsilon_active": 0.5714, "epsilon_total": 0.5714, "rho_minus_epsilon": -0.2857, "blue_ratio_cum": 0.8571, "blue_efficiency": 0.3333, "S": 6, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.98, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, -1 ], "facing": "↑", "response_ms": 2786, "was_retry": false, "was_random": false, "note": "At [1,-1], move ↗ to [2,0] completes target (2,0)-(1,-1), reducing W to 1. Then from [2,0], move → to [3,0] completes final target (2,0)-(3,0), reducing W to 0 for victory.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 11, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.25, "blue_ratio_cum": 0.75, "blue_efficiency": 0.3333, "S": 6, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.98, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "↘", "response_ms": 2412, "was_retry": false, "was_random": false, "note": "Move ↘ to [2,0] completes target (2,0)-(1,-1), reducing W to 1. Next move → to [3,0] completes final target (2,0)-(3,0), reducing W to 0 for victory.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 12, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.4444, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.2222, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.3333, "S": 6, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.97, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 3, 0 ], "facing": "→", "response_ms": 2915, "was_retry": false, "was_random": false, "note": "At [3,0], move ↙ to [2,0] completes target (2,0)-(3,0), reducing W to 1. Then move ↙ to [1,-1] completes final target (2,0)-(1,-1), reducing W to 0 for victory.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 13, "level": 1, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.4, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6, "blue_efficiency": 0.3333, "S": 5, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.96, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(3,0)-(2,1)" ], "new_targets_created": [], "total_edges": 8, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3782, "was_retry": false, "was_random": false, "note": "At [2,1], move ↙ to [1,0] is GREY (already done). Then move ↙ to [1,-1] is GREY (already done). Then move ↗ to [2,0] is BLUE, completing target (2,0)-(1,-1), reducing W to 1. Then move → to [3,0] is B", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6364, "blue_efficiency": 0.2857, "S": 6, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.96, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 0 ], "facing": "↑", "response_ms": 3281, "was_retry": false, "was_random": false, "note": "Move ↑ to [2,0] is BLUE, completing target (2,1)-(2,0). From [2,0], move → to [3,0] completes target (2,0)-(3,0). Then from [3,0], move ↙ to [2,0] then ↙ to [1,-1] completes final target (2,0)-(1,-1),", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 15, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.375, "S": 7, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.95, "edges_at_risk": 7, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.67, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 3, 0 ], "facing": "→", "response_ms": 3676, "was_retry": false, "was_random": false, "note": "At [3,0], move ↙ to [2,1] is GREY (already done), then ↙ to [1,0] is GREY (already done), then ↙ to [1,-1] is BLUE completing target (2,0)-(1,-1), reducing W to 2. Then from [1,-1], move ↗ to [1,0] is", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 1, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6923, "blue_efficiency": 0.4444, "S": 8, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.95, "edges_at_risk": 8, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(3,0)-(2,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 1 ], "facing": "↙", "response_ms": 2985, "was_retry": false, "was_random": false, "note": "Move ↙ to [2,1] is BLUE, completing target (3,0)-(2,1), reducing W to 1. From [2,1], move ↙ to [1,0] is GREY, then ↙ to [1,-1] is GREY, then ↗ to [2,0] is BLUE, completing final target (2,0)-(1,-1), r", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 17, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.4, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.94, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3976, "was_retry": false, "was_random": false, "note": "At [1,0], the only remaining target is (2,0)-(1,-1). Move ↙ to [1,-1] then ↗ to [2,0] completes it, reducing W to 0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 18, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7333, "blue_efficiency": 0.3636, "S": 8, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.93, "edges_at_risk": 6, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, -1 ], "facing": "↑", "response_ms": 2691, "was_retry": false, "was_random": false, "note": "At [1,-1], move ↗ to [2,0] will be BLUE, completing the final target (2,0)-(1,-1) and reducing W to 0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 19, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.75, "blue_efficiency": 0.3333, "S": 9, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.93, "edges_at_risk": 7, "mean_thickness": 1.222, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 2, -2 ], "facing": "↗", "response_ms": 2514, "was_retry": false, "was_random": false, "note": "W reduced from 1 to 0. Game won. All targets completed.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 1 }, "target_stability": 0.6 }, { "step": 20, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7647, "blue_efficiency": 0.3077, "S": 10, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.92, "edges_at_risk": 8, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 2, "d_mean": 2.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, -1 ], "facing": "↓", "response_ms": 3459, "was_retry": false, "was_random": false, "note": "W=1 now, not 0. Target (2,0)-(1,-1) still incomplete. At [2,-2], move ↓ to [2,-1] is BLUE and directly toward target. Next move ↖ to reach [1,-1].", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7778, "blue_efficiency": 0.2857, "S": 11, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.92, "edges_at_risk": 9, "mean_thickness": 1.182, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8182, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 1, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, -1 ], "facing": "←", "response_ms": 3249, "was_retry": false, "was_random": false, "note": "At [2,-1], moved ← to [1,-1] (BLUE). From [1,-1], next move must be ↗ to [2,0] (BLUE) to complete the final target edge (2,0)-(1,-1) and reduce W to 0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 1, "(2,-1)-(1,-1)": 1 }, "target_stability": 0.2 }, { "step": 22, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7895, "blue_efficiency": 0.2667, "S": 11, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.91, "edges_at_risk": 8, "mean_thickness": 1.273, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, -2 ], "facing": "↗", "response_ms": 3495, "was_retry": false, "was_random": false, "note": "Moved ↗ from [1,-1] to [2,0], completing target edge (2,0)-(1,-1). This should reduce W from 1 to 0. If W=0 next turn, victory achieved. If not, reassess remaining targets.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 1, "(2,-1)-(1,-1)": 1 }, "target_stability": 0.2 }, { "step": 23, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.8, "blue_efficiency": 0.25, "S": 11, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.9, "edges_at_risk": 7, "mean_thickness": 1.364, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 2, "d_mean": 2.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, -1 ], "facing": "↓", "response_ms": 3482, "was_retry": false, "was_random": false, "note": "W=1 still shows, meaning target (2,0)-(1,-1) remains incomplete. From [2,-2] facing ↗, move ↓ to [2,-1] is BLUE and positions toward [1,-1] to retry completing the target edge next turn.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 1 }, "target_stability": 0.2 }, { "step": 24, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.8095, "blue_efficiency": 0.2353, "S": 11, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.9, "edges_at_risk": 6, "mean_thickness": 1.455, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, -1 ], "facing": "←", "response_ms": 3450, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ↓, moved ← to [1,-1] (BLUE). This completes edge (2,-1)-(1,-1) with thickness=2. Next turn from [1,-1], must move ↗ to [2,0] (BLUE) to complete the final target edge (2,0)-(1,-1) an", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.2 }, { "step": 25, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7727, "blue_efficiency": 0.2353, "S": 11, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.89, "edges_at_risk": 6, "mean_thickness": 1.455, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "↘", "response_ms": 3482, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ←, moved ↘ to [2,0] completing the target edge (2,0)-(1,-1). This was the only remaining target (W=1). If W=0 next turn, victory is achieved. If W still >0, must identify what targe", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.2 }, { "step": 26, "level": 1, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7391, "blue_efficiency": 0.2353, "S": 10, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.89, "edges_at_risk": 5, "mean_thickness": 1.5, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(2,1)-(2,0)" ], "new_targets_created": [], "total_edges": 12, "position": [ 2, 1 ], "facing": "↓", "response_ms": 3913, "was_retry": false, "was_random": false, "note": "W=1 still shows. From [2,0] facing ↘, move ↓ to [2,1] is GREY (doesn't reduce W). Must identify why target (2,0)-(1,-1) isn't completed - likely the move was reversed or the edge wasn't created as exp", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.2 }, { "step": 27, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.75, "blue_efficiency": 0.2222, "S": 10, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.88, "edges_at_risk": 5, "mean_thickness": 1.6, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "↖", "response_ms": 4173, "was_retry": false, "was_random": false, "note": "W=2 means two targets remain: (2,0)-(1,-1) and (2,1)-(2,0). From [2,1] facing ↓, move ↖ to [1,0] is BLUE. This completes edge (2,1)-(1,0) with thickness=3, but does NOT reduce W (not a target). Next t", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.4 }, { "step": 28, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.76, "blue_efficiency": 0.2105, "S": 10, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.88, "edges_at_risk": 4, "mean_thickness": 1.7, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "→", "response_ms": 3681, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↖, moved → to [2,0] completing target edge (2,1)-(2,0), reducing W from 2 to 1. Remaining target is (2,0)-(1,-1). Next turn from [2,0], must move ↙ to [1,-1] (should be BLUE) to comp", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.4 }, { "step": 29, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7308, "blue_efficiency": 0.2105, "S": 10, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.87, "edges_at_risk": 4, "mean_thickness": 1.7, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, -1 ], "facing": "↖", "response_ms": 4434, "was_retry": false, "was_random": false, "note": "W=2 shows two targets remain: (2,0)-(1,-1) and (2,1)-(2,0). From [2,0] facing →, move ↖ to [1,-1] is GREY (doesn't reduce W - edge already exists with thickness=2). This means (2,0)-(1,-1) target requ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 2, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.4 }, { "step": 30, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7037, "blue_efficiency": 0.2105, "S": 10, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.86, "edges_at_risk": 5, "mean_thickness": 1.6, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, -2 ], "facing": "↗", "response_ms": 4385, "was_retry": false, "was_random": false, "note": "At [1,-1] facing ↖, move ↗ goes to [2,-2] (GREY, existing edge). From [2,-2] facing ↗, I need to reach [2,0] to then move ↙ to complete target (2,0)-(1,-1). Plan: [2,-2]→[2,-1]→[2,0], then ↙ to [1,-1]", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 2, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.4 }, { "step": 31, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.2, "S": 10, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.86, "edges_at_risk": 5, "mean_thickness": 1.7, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 2, "d_mean": 2.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, -1 ], "facing": "↓", "response_ms": 3509, "was_retry": false, "was_random": false, "note": "At [2,-2] facing ↗, moved ↓ to [2,-1] (BLUE, adds thickness to existing edge). From [2,-1] facing ↓, next turn must move ↗ to [2,0] (should be BLUE) to position for completing target (2,0)-(1,-1) by m", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.4 }, { "step": 32, "level": 1, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6897, "blue_efficiency": 0.2, "S": 10, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.85, "edges_at_risk": 5, "mean_thickness": 1.7, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,-1)-(2,0)" ], "total_edges": 13, "position": [ 2, 0 ], "facing": "↓", "response_ms": 3646, "was_retry": false, "was_random": false, "note": "At [2,-1] facing ↓, moved ↓ to [2,0] (GREY - edge already exists). From [2,0] facing ↓, must move ↙ to [1,-1] to complete target (2,0)-(1,-1) reducing W to 1. Then from [1,-1] need to reach [2,1] to m", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.2 }, { "step": 33, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7, "blue_efficiency": 0.2381, "S": 11, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.85, "edges_at_risk": 6, "mean_thickness": 1.636, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, -1 ], "facing": "↖", "response_ms": 4002, "was_retry": false, "was_random": false, "note": "At [2,0] facing ↓, moved ↖ to [1,-1] completing target (2,0)-(1,-1), reducing W to 2. From [1,-1] facing ↖, must reach [2,1] to complete target (2,1)-(2,0) by moving ↓. Plan: move → to [2,-1], then ↗ ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 2 }, "target_stability": 0.2 }, { "step": 34, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7097, "blue_efficiency": 0.2273, "S": 11, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.84, "edges_at_risk": 6, "mean_thickness": 1.727, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, -1 ], "facing": "→", "response_ms": 3012, "was_retry": false, "was_random": false, "note": "At [1,-1] facing ↖, moved → to [2,-1] (BLUE, adds thickness). From [2,-1] facing →, must move ↗ to [2,0] then ↘ to [2,1] then ↓ to [2,0] to complete target (2,1)-(2,0) reducing W to 1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3 }, "target_stability": 0.4 }, { "step": 35, "level": 1, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7188, "blue_efficiency": 0.2609, "S": 12, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.83, "edges_at_risk": 7, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,-1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,-1)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "↓", "response_ms": 3269, "was_retry": false, "was_random": false, "note": "At [2,-1] facing →, moved ↓ to [2,0] completing target (2,-1)-(2,0), reducing W to 1. From [2,0] facing ↓, must move ↘ to [2,1] then ↓ back to [2,0] to complete final target (2,1)-(2,0) and win (W=0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 36, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.697, "blue_efficiency": 0.2609, "S": 12, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.83, "edges_at_risk": 7, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 1 ], "facing": "↓", "response_ms": 2432, "was_retry": false, "was_random": false, "note": "At [2,0] facing ↓, moved ↓ to [2,1] completing the final target (2,1)-(2,0), reducing W to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 37, "level": 1, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6765, "blue_efficiency": 0.2609, "S": 12, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.82, "edges_at_risk": 7, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,1)-(2,2)" ], "total_edges": 14, "position": [ 2, 2 ], "facing": "↓", "response_ms": 3695, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↓, move ↓ to [2,0] to complete the final target edge (2,1)-(2,0) which will reduce W from 1 to 0 and win the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 38, "level": 1, "cycle": 1, "W": 4, "dW": 2, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6571, "blue_efficiency": 0.2609, "S": 11, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 35, "oxygen_pct": 99.82, "edges_at_risk": 6, "mean_thickness": 1.727, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [ "(2,2)-(2,3)" ], "total_edges": 15, "position": [ 2, 3 ], "facing": "↓", "response_ms": 11170, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↓, moved ↓ to [2,3]. W=2 remains, indicating my previous note was incorrect. The actual targets are (2,1)-(2,0) and (2,1)-(2,2). I just crossed (2,1)-(2,2) with GREY, so W increased to", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 39, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.25, "S": 12, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 34, "oxygen_pct": 99.81, "edges_at_risk": 7, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 1, 2 ], "facing": "↖", "response_ms": 3527, "was_retry": false, "was_random": false, "note": "At [2,3] facing ↓, move ↖ to [1,2] (BLUE). This creates a new completed edge. Then I need to reach target (2,1)-(2,2) by moving from [1,2] toward [2,2] to complete it with BLUE.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,3)-(1,2)": 1 }, "target_stability": 0.8 }, { "step": 40, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6757, "blue_efficiency": 0.24, "S": 13, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 99.8, "edges_at_risk": 8, "mean_thickness": 1.615, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 1, "d_mean": 1.88, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 2, 1 ], "facing": "↗", "response_ms": 4235, "was_retry": false, "was_random": false, "note": "At [1,2] facing ↖, move ↗ to [2,1] (BLUE). This completes target edge (2,1)-(1,2) if it exists, or creates completed edge. From [2,1], I can move → to [2,2] to complete target (2,1)-(2,2) and reduce W", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 41, "level": 1, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6842, "blue_efficiency": 0.2692, "S": 14, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.8, "edges_at_risk": 9, "mean_thickness": 1.571, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,1)-(2,2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 2, 2 ], "facing": "↓", "response_ms": 2942, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↗, move ↓ to [2,2] (BLUE). This completes target edge (2,1)-(2,2), reducing W from 4 to 3. From [2,2], move ↓ to [2,3] (BLUE) to complete target (2,2)-(2,3), further reducing W.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 42, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.2692, "S": 14, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.79, "edges_at_risk": 9, "mean_thickness": 1.571, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 2, 3 ], "facing": "↓", "response_ms": 3022, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↓, move ↓ to [2,3] (BLUE if available) to complete target edge (2,2)-(2,3), reducing W from 3 to 2. Then navigate to complete remaining targets (0,0)-(1,0) and (2,1)-(2,0).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 43, "level": 1, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.65, "blue_efficiency": 0.2692, "S": 14, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.79, "edges_at_risk": 9, "mean_thickness": 1.571, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 2.17, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,3)-(2,4)" ], "total_edges": 18, "position": [ 2, 4 ], "facing": "↓", "response_ms": 3275, "was_retry": false, "was_random": false, "note": "At [2,3] facing ↓, move ← to [1,3] (BLUE) to avoid creating new targets with grey moves. From [1,3], navigate ↙ to [1,2] then paths toward remaining targets: (0,0)-(1,0) and (2,1)-(2,0).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 44, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6585, "blue_efficiency": 0.2593, "S": 15, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.78, "edges_at_risk": 10, "mean_thickness": 1.533, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 2.5, "d_max": 5, "cost_access": 0, "nearest_edge": "(2,3)-(2,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 19, "position": [ 1, 3 ], "facing": "↖", "response_ms": 3598, "was_retry": false, "was_random": false, "note": "At [2,4] facing ↓, moved ↖ to [1,3] (BLUE) completing target (2,3)-(2,4), reducing W from 4 to 3. Next: move ↙ to [1,2] then navigate via existing edges toward targets (2,1)-(2,0), (2,2)-(2,3), and (0", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1 }, "target_stability": 0.8 }, { "step": 45, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.25, "S": 16, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.77, "edges_at_risk": 11, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6875, "d_min": 1, "d_mean": 2.38, "d_max": 4, "cost_access": 1, "nearest_edge": "(2,2)-(2,3)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 2, 2 ], "facing": "↗", "response_ms": 3097, "was_retry": false, "was_random": false, "note": "At [1,3] facing ↖, move ↗ to [2,2] (BLUE) to complete target (2,2)-(2,3), reducing W from 4 to 3. Then move ↓ to [2,3] (BLUE) to complete target (2,3)-(2,4), reducing W to 2. After that, navigate to c", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 1 }, "target_stability": 0.6 }, { "step": 46, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6744, "blue_efficiency": 0.2414, "S": 17, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.77, "edges_at_risk": 12, "mean_thickness": 1.471, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7059, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 21, "position": [ 3, 3 ], "facing": "↘", "response_ms": 3466, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↗, move ↘ to [3,3] (BLUE) to avoid damaging existing edges. Then navigate via grey moves through existing edges toward target (2,2)-(2,3): from [3,3] move ← to [2,3], then ↓ to complet", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 1, "(2,2)-(3,3)": 1 }, "target_stability": 0.4 }, { "step": 47, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6818, "blue_efficiency": 0.2333, "S": 18, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.76, "edges_at_risk": 13, "mean_thickness": 1.444, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7222, "d_min": 1, "d_mean": 2.62, "d_max": 5, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 3 ], "facing": "←", "response_ms": 3314, "was_retry": false, "was_random": false, "note": "At [3,3] facing ↘, moved ← to [2,3] (BLUE) completing target (2,2)-(2,3), reducing W from 4 to 3. Next: move ↓ to [2,4] (BLUE) to complete target (2,3)-(2,4), reducing W to 2. Then navigate via existi", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 1, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.4 }, { "step": 48, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.2333, "S": 18, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.76, "edges_at_risk": 13, "mean_thickness": 1.444, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7222, "d_min": 0, "d_mean": 1.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 4 ], "facing": "↓", "response_ms": 3557, "was_retry": false, "was_random": false, "note": "At [2,3] facing ←, move ↓ to [2,4] (BLUE) completes target (2,3)-(2,4), reducing W from 4 to 3. Next: navigate via grey moves through existing edges toward remaining targets (0,0)-(1,0) and (2,1)-(2,0", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 1, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.4 }, { "step": 49, "level": 1, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6522, "blue_efficiency": 0.2333, "S": 17, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.75, "edges_at_risk": 12, "mean_thickness": 1.471, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7059, "d_min": 0, "d_mean": 2.5, "d_max": 5, "cost_access": 0, "nearest_edge": "(2,3)-(2,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(2,4)-(1,3)" ], "new_targets_created": [], "total_edges": 22, "position": [ 1, 3 ], "facing": "↖", "response_ms": 3162, "was_retry": false, "was_random": false, "note": "At [2,4] facing ↓, moved ↖ to [1,3] (GREY) to navigate back toward remaining targets. From [1,3], move ↙ to [1,2] (GREY), then ← to [0,0] (BLUE) to complete target (0,0)-(1,0), reducing W to 3. Then n", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(1,3)-(2,2)": 1, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.4 }, { "step": 50, "level": 1, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6596, "blue_efficiency": 0.2258, "S": 17, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.74, "edges_at_risk": 11, "mean_thickness": 1.529, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6471, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,4)-(1,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 2 ], "facing": "↗", "response_ms": 3368, "was_retry": false, "was_random": false, "note": "At [1,3] facing ↖, move ↗ to [2,2] (BLUE) to complete target (2,4)-(1,3), reducing W from 5 to 4. Next: navigate via existing edges to complete remaining targets (0,0)-(1,0), (2,1)-(2,0), (2,2)-(2,3).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.6 }, { "step": 51, "level": 1, "cycle": 1, "W": 4, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.25, "S": 18, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.74, "edges_at_risk": 12, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.6, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,2)-(2,3)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 3 ], "facing": "↓", "response_ms": 2970, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↗, move ↓ to [2,3] completes target (2,2)-(2,3), reducing W from 5 to 4. Next: move ↑ to [2,4] (BLUE) to complete target (2,3)-(2,4), then navigate to complete (2,4)-(1,3), (2,1)-(2,0)", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.6 }, { "step": 52, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6531, "blue_efficiency": 0.25, "S": 18, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.73, "edges_at_risk": 12, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.88, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,3)-(2,4)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 4 ], "facing": "↓", "response_ms": 3254, "was_retry": false, "was_random": false, "note": "At [2,3] facing ↓, move ↓ to [2,4] (GREY) completes target (2,3)-(2,4), reducing W from 4 to 3. Next: move ↙ to [1,4] (BLUE) to complete target (2,4)-(1,3), reducing W to 2. Then navigate to complete ", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.6 }, { "step": 53, "level": 1, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.66, "blue_efficiency": 0.2727, "S": 19, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.73, "edges_at_risk": 13, "mean_thickness": 1.474, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 0, "d_mean": 2.25, "d_max": 5, "cost_access": 0, "nearest_edge": "(2,3)-(2,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,4)-(1,3)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 1, 3 ], "facing": "↖", "response_ms": 3907, "was_retry": false, "was_random": false, "note": "At [2,4] facing ↓, move ↖ to [1,3] (BLUE) completes target (2,4)-(1,3), reducing W from 4 to 3. Next: navigate south through existing edges to reach (2,1) area, then move to complete target (2,1)-(2,0", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1 }, "target_stability": 0.6 }, { "step": 54, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.2647, "S": 20, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.72, "edges_at_risk": 14, "mean_thickness": 1.45, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 1, "d_mean": 2.67, "d_max": 4, "cost_access": 1, "nearest_edge": "(2,3)-(2,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 1, 2 ], "facing": "↑", "response_ms": 3732, "was_retry": false, "was_random": false, "note": "At [1,3] facing ↖, move ↑ to [1,2] (BLUE) to add thickness to existing edge and position toward (2,1)-(2,0) target. Next: move ↗ to [2,2], then ↓ to [2,1], then ↓ to [2,0] (BLUE) to complete target (2", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 1, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1 }, "target_stability": 0.6 }, { "step": 55, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6731, "blue_efficiency": 0.2571, "S": 20, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.71, "edges_at_risk": 13, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.65, "d_min": 1, "d_mean": 2.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,3)-(2,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 2, 1 ], "facing": "↗", "response_ms": 2471, "was_retry": false, "was_random": false, "note": "At [1,2] facing ↑, move ↗ to [2,1] (BLUE) adds thickness to existing edge. Next: from [2,1] move ↓ to [2,0] (BLUE) to complete target (2,1)-(2,0), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 56, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6792, "blue_efficiency": 0.25, "S": 20, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.71, "edges_at_risk": 12, "mean_thickness": 1.55, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 2, 2 ], "facing": "↓", "response_ms": 2934, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↗, move ↓ to [2,0] (BLUE) completes target (2,1)-(2,0), reducing W from 3 to 2. Next: from [2,0] move ↖ to [1,0] then ↖ to [0,0] (BLUE) to complete target (0,0)-(1,0), reducing W to 1.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 57, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6852, "blue_efficiency": 0.2432, "S": 21, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.7, "edges_at_risk": 13, "mean_thickness": 1.524, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.619, "d_min": 1, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 24, "position": [ 1, 1 ], "facing": "↖", "response_ms": 4214, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↓, move ↖ to [1,1] (BLUE) positions toward target (0,0)-(1,0). Next: from [1,1] move ↖ to [1,0] then ↖ to [0,0] (BLUE) to complete target (0,0)-(1,0), reducing W to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 58, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6909, "blue_efficiency": 0.2368, "S": 22, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.7, "edges_at_risk": 14, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 1, "d_mean": 1.83, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 25, "position": [ 1, 0 ], "facing": "↑", "response_ms": 2465, "was_retry": false, "was_random": false, "note": "At [1,1] facing ↖, move ↑ to [1,0] (BLUE) positions toward target (0,0)-(1,0). Next: from [1,0] move ↖ to [0,0] (BLUE) to complete target (0,0)-(1,0), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 59, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6786, "blue_efficiency": 0.2368, "S": 22, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.69, "edges_at_risk": 14, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 0, "d_mean": 1.67, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 25, "position": [ 0, 0 ], "facing": "←", "response_ms": 3081, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↑, move ← to [0,0] (GREY) completes target (0,0)-(1,0), reducing W from 3 to 2. Next: from [0,0] navigate to complete target (2,1)-(2,0) or (2,3)-(2,4).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 60, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6842, "blue_efficiency": 0.2308, "S": 23, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.68, "edges_at_risk": 15, "mean_thickness": 1.478, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6522, "d_min": 0, "d_mean": 2.33, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 26, "position": [ 1, 1 ], "facing": "↘", "response_ms": 3163, "was_retry": false, "was_random": false, "note": "At [0,0] facing ←, move ↘ to [1,1] (BLUE) to strengthen path toward remaining targets. Next: from [1,1] navigate toward [2,1] to complete target (2,1)-(2,0), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 61, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6897, "blue_efficiency": 0.225, "S": 24, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.68, "edges_at_risk": 16, "mean_thickness": 1.458, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.83, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 0 ], "facing": "↗", "response_ms": 3796, "was_retry": false, "was_random": false, "note": "At [1,1] facing ↘, move ↗ to [2,0] (BLUE) positions toward target (2,1)-(2,0). Next: from [2,0] move ↗ to [2,1] (BLUE) to complete target (2,1)-(2,0), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 62, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.678, "blue_efficiency": 0.225, "S": 24, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.67, "edges_at_risk": 16, "mean_thickness": 1.458, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.83, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 1 ], "facing": "↓", "response_ms": 3276, "was_retry": false, "was_random": false, "note": "At [2,0] facing ↗, moved ↓ to [2,1] (GREY) completes target (2,1)-(2,0), reducing W from 3 to 2. Next: from [2,1] navigate to [2,3] then ↓ to [2,4] to complete final target (2,3)-(2,4).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 63, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.225, "S": 24, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.67, "edges_at_risk": 17, "mean_thickness": 1.417, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7083, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 2 ], "facing": "↓", "response_ms": 2966, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↓, move ↓ to [2,2] (GREY) to advance toward target (2,3)-(2,4). Next: from [2,2] move ↓ to [2,3] then ↓ to [2,4] (BLUE) to complete final target, reducing W to 0.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 64, "level": 1, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6557, "blue_efficiency": 0.225, "S": 23, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.66, "edges_at_risk": 16, "mean_thickness": 1.435, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 1, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(2,2)-(2,3)" ], "new_targets_created": [], "total_edges": 27, "position": [ 2, 3 ], "facing": "↓", "response_ms": 2881, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↓, move ↓ to [2,3] (GREY) to position for final target. Next: from [2,3] facing ↓, move ↓ to [2,4] (BLUE) to complete target (2,3)-(2,4), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 65, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6452, "blue_efficiency": 0.225, "S": 23, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.65, "edges_at_risk": 16, "mean_thickness": 1.435, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 0, "d_mean": 1.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 4 ], "facing": "↓", "response_ms": 3090, "was_retry": false, "was_random": false, "note": "At [2,3] facing ↓, move ↓ to [2,4] completes target (2,3)-(2,4), reducing W from 4 to 3. Next: navigate to complete remaining targets: (0,0)-(1,0), (2,1)-(2,0), and (2,2)-(2,3).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 1, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 66, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6508, "blue_efficiency": 0.2195, "S": 23, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.65, "edges_at_risk": 15, "mean_thickness": 1.478, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6522, "d_min": 0, "d_mean": 2.5, "d_max": 5, "cost_access": 0, "nearest_edge": "(2,3)-(2,4)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 3 ], "facing": "↖", "response_ms": 4484, "was_retry": false, "was_random": false, "note": "At [2,4] facing ↓, move ↖ to [1,3] (BLUE) adds thickness to existing edge. From [1,3], must navigate to complete target (2,2)-(2,3): move ↘ to [2,3] then ↓ to [2,4] is blocked by K-memory, so plan alt", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 2, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 67, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6562, "blue_efficiency": 0.2143, "S": 23, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.64, "edges_at_risk": 14, "mean_thickness": 1.522, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6087, "d_min": 1, "d_mean": 2.38, "d_max": 4, "cost_access": 1, "nearest_edge": "(2,2)-(2,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 2 ], "facing": "↑", "response_ms": 3334, "was_retry": false, "was_random": false, "note": "At [1,3] facing ↖, move ↑ to [1,2] (BLUE) adds thickness. From [1,2] facing ↑, move ↘ to [2,2] (BLUE) then ↑ to [2,3] (BLUE) completes target (2,2)-(2,3), reducing W from 4 to 3.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 1, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 2, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 68, "level": 1, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6615, "blue_efficiency": 0.2093, "S": 23, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.64, "edges_at_risk": 13, "mean_thickness": 1.565, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5652, "d_min": 1, "d_mean": 1.88, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 3 ], "facing": "↘", "response_ms": 3318, "was_retry": false, "was_random": false, "note": "At [1,2] facing ↑, moved ↘ to [2,3] (BLUE) completing target (2,2)-(2,3), reducing W from 4 to 3. Next from [2,3]: move ↑ to [2,4] (BLUE) completes target (2,3)-(2,4), reducing W to 2.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,4)-(1,3)": 2, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 69, "level": 1, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.2273, "S": 24, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.63, "edges_at_risk": 14, "mean_thickness": 1.542, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 1.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,3)-(2,4)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 4 ], "facing": "↓", "response_ms": 3727, "was_retry": false, "was_random": false, "note": "At [2,3] facing ↘, move ↓ to [2,4] (BLUE) completes target (2,3)-(2,4), reducing W from 4 to 3. From [2,4], must complete remaining targets: (2,1)-(2,0) and (0,0)-(1,0). Navigate to [2,1] via existing", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 2, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 70, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6716, "blue_efficiency": 0.2222, "S": 24, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.63, "edges_at_risk": 14, "mean_thickness": 1.583, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 1, "d_mean": 3.17, "d_max": 5, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 3 ], "facing": "↖", "response_ms": 3521, "was_retry": false, "was_random": false, "note": "At [2,4] facing ↓, moved ↖ to [1,3] (BLUE) adding thickness. From [1,3] facing ↖, move ↙ to [1,2] (BLUE) then ↓ to [2,2] (BLUE) then ↙ to [2,1] (BLUE) to reach target area for completing (2,1)-(2,0).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 2, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 71, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6765, "blue_efficiency": 0.2174, "S": 24, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.62, "edges_at_risk": 14, "mean_thickness": 1.625, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 1, "d_mean": 2.83, "d_max": 4, "cost_access": 1, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 2 ], "facing": "↗", "response_ms": 3672, "was_retry": false, "was_random": false, "note": "At [1,3] facing ↖, moved ↗ to [2,2] (BLUE) adding thickness. From [2,2] facing ↗, move ↙ to [2,1] (BLUE) to reach target (2,1)-(2,0), then complete it with move to (2,0).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 72, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6812, "blue_efficiency": 0.234, "S": 25, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.61, "edges_at_risk": 15, "mean_thickness": 1.6, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,2)-(2,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,2)-(2,3)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 3 ], "facing": "↓", "response_ms": 3100, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↗, moved ↓ to [2,3] (BLUE) completing target (2,2)-(2,3), reducing W from 3 to 2. From [2,3] must navigate to complete remaining targets: (2,1)-(2,0) and (0,0)-(1,0). Move ↙ to reach [", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 73, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6857, "blue_efficiency": 0.2292, "S": 26, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 35, "oxygen_pct": 99.61, "edges_at_risk": 17, "mean_thickness": 1.538, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6538, "d_min": 2, "d_mean": 3.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 1, 3 ], "facing": "←", "response_ms": 3054, "was_retry": false, "was_random": false, "note": "At [2,3] facing ↓, moved ← to [1,3] (BLUE) adding thickness. From [1,3] facing ←, move ↙ to [1,2] (BLUE) then ↓ to [2,2] (BLUE) then ↙ to [2,1] (BLUE) to reach target (2,1)-(2,0), then move ↓ to compl", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.4 }, { "step": 74, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6901, "blue_efficiency": 0.2245, "S": 26, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 34, "oxygen_pct": 99.6, "edges_at_risk": 17, "mean_thickness": 1.577, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6538, "d_min": 3, "d_mean": 3.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 1, 2 ], "facing": "↑", "response_ms": 3124, "was_retry": false, "was_random": false, "note": "At [1,3] facing ←, moved ↑ to [1,2] (BLUE). From [1,2] facing ↑, move ↗ to [2,1] (BLUE) to reach target (2,1)-(2,0), then move ↓ to [2,0] (BLUE) completing target, reducing W to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 2, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.6 }, { "step": 75, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6944, "blue_efficiency": 0.22, "S": 26, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 99.6, "edges_at_risk": 17, "mean_thickness": 1.615, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6538, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 2, 1 ], "facing": "↗", "response_ms": 3600, "was_retry": false, "was_random": false, "note": "At [1,2] facing ↑, moved ↗ to [2,1] (BLUE) adding thickness to existing edge. From [2,1] facing ↗, must move ↓ to [2,0] (BLUE) to complete target (2,1)-(2,0) reducing W to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 1, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.6 }, { "step": 76, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6986, "blue_efficiency": 0.2157, "S": 26, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.59, "edges_at_risk": 16, "mean_thickness": 1.654, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 2, 2 ], "facing": "↓", "response_ms": 3750, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↗, moved ↓ to [2,0] (BLUE) completing target (2,1)-(2,0), reducing W to 1. From [2,0] facing ↓, move ← to [1,-1] (BLUE) then ↖ to [0,0] (BLUE) to complete final target (0,0)-(1,0), red", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.6 }, { "step": 77, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7027, "blue_efficiency": 0.2115, "S": 26, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.58, "edges_at_risk": 15, "mean_thickness": 1.692, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5769, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 1, 1 ], "facing": "↖", "response_ms": 2482, "was_retry": false, "was_random": false, "note": "At [2,2] facing ↓, moved ↖ to [1,1] (BLUE) adding thickness. From [1,1] facing ↖, move ↖ to [0,0] (BLUE) to complete final target (0,0)-(1,0), reducing W to 0 and winning.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.4 }, { "step": 78, "level": 1, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6933, "blue_efficiency": 0.2115, "S": 25, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.58, "edges_at_risk": 14, "mean_thickness": 1.72, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.56, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,1)" ], "new_targets_created": [], "total_edges": 28, "position": [ 0, 0 ], "facing": "↖", "response_ms": 2844, "was_retry": false, "was_random": false, "note": "At [1,1] facing ↖, moved ↖ to [0,0] (GREY - already completed). From [0,0] must move → to [1,0] (BLUE) to complete target (0,0)-(1,0), reducing W to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.4 }, { "step": 79, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6974, "blue_efficiency": 0.2264, "S": 26, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.57, "edges_at_risk": 15, "mean_thickness": 1.692, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5769, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 1, 0 ], "facing": "→", "response_ms": 3358, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↖, moved → to [1,0] (BLUE) completing target (0,0)-(1,0), reducing W to 2. From [1,0] facing →, move ↗ to [2,0] (BLUE) to complete target (2,1)-(2,0) via thickness, then navigate to co", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.4 }, { "step": 80, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7013, "blue_efficiency": 0.2222, "S": 26, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.57, "edges_at_risk": 15, "mean_thickness": 1.731, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5769, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 28, "position": [ 2, 1 ], "facing": "↘", "response_ms": 3148, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, moved ↘ to [2,1] (BLUE) completing target (2,1)-(2,0), reducing W to 1. From [2,1], navigate to complete final target (0,0)-(1,1).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1 }, "target_stability": 0.4 }, { "step": 81, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7051, "blue_efficiency": 0.2182, "S": 27, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.56, "edges_at_risk": 16, "mean_thickness": 1.704, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5926, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 1, 1 ], "facing": "←", "response_ms": 2880, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↘, move ← to [1,1] (BLUE) to complete the final target (0,0)-(1,1), reducing W to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 82, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7089, "blue_efficiency": 0.2143, "S": 27, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.55, "edges_at_risk": 15, "mean_thickness": 1.741, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 1, 0 ], "facing": "↑", "response_ms": 3713, "was_retry": false, "was_random": false, "note": "At [1,1] facing ←, moved ↑ to [1,0] (BLUE). This completes target (0,0)-(1,1) by adding thickness to edge (1,1)-(1,0), reducing W from 2 to 1. One target remains: (2,1)-(2,0). From [1,0] facing ↑, mov", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 83, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7125, "blue_efficiency": 0.2105, "S": 27, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.55, "edges_at_risk": 14, "mean_thickness": 1.778, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5185, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 2, 0 ], "facing": "→", "response_ms": 2822, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↑, moved → to [2,0] (BLUE) completing target (2,1)-(2,0), reducing W from 2 to 1. One target remains: (0,0)-(1,1). From [2,0], navigate to complete it.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 84, "level": 1, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.716, "blue_efficiency": 0.2241, "S": 28, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.54, "edges_at_risk": 15, "mean_thickness": 1.75, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5357, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,1)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 2, 1 ], "facing": "↓", "response_ms": 3436, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, move ↓ to [2,1] (BLUE) to reach [2,1]. From there, navigate toward completing target (0,0)-(1,1) by moving to [1,1] then [0,0].", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 85, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7195, "blue_efficiency": 0.2203, "S": 28, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.54, "edges_at_risk": 14, "mean_thickness": 1.786, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 1, 1 ], "facing": "←", "response_ms": 3337, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↓, moved ← to [1,1] (BLUE). From [1,1] facing ←, must move ↙ to [0,0] to complete the final target edge (0,0)-(1,1), reducing W from 1 to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1, "(2,1)-(1,1)": 2 }, "target_stability": 0.4 }, { "step": 86, "level": 1, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7229, "blue_efficiency": 0.2333, "S": 29, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.53, "edges_at_risk": 15, "mean_thickness": 1.759, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5172, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 0, 0 ], "facing": "↖", "response_ms": 2938, "was_retry": false, "was_random": false, "note": "At [1,1] facing ←, moved ↖ to [0,0] (BLUE) completing the final target edge (0,0)-(1,1), reducing W from 1 to 0. Game won.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,0)-(1,-1)": 2, "(2,1)-(2,0)": 1, "(1,-1)-(2,-2)": 1, "(2,-2)-(2,-1)": 3, "(2,-1)-(1,-1)": 3, "(2,-1)-(2,0)": 1, "(2,1)-(2,2)": 2, "(2,2)-(2,3)": 1, "(2,3)-(1,2)": 2, "(1,2)-(2,1)": 3, "(2,3)-(2,4)": 1, "(2,4)-(1,3)": 3, "(1,3)-(2,2)": 3, "(2,2)-(3,3)": 1, "(3,3)-(2,3)": 1, "(1,3)-(1,2)": 3, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,0)": 1, "(2,3)-(1,3)": 1, "(2,1)-(1,1)": 2 }, "target_stability": 0.4 }, { "step": 86, "event": "LEVEL_COMPLETE", "completed_level": 1, "new_level": 2, "cumulative_blue_at_transition": 60, "cumulative_total_at_transition": 83, "cumulative_w_reductions": 14 }, { "step": 4, "level": 2, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 0.7262, "blue_efficiency": 0.2295, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 99.53, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 4170, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] completes edge (3,0)-(2,1) [BLUE], reducing W from 3 to 2. Next priority: reach (2,0) to complete the (2,0)-(3,0) target edge.", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 2, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 0.7294, "blue_efficiency": 0.2258, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.53, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "↑", "response_ms": 3200, "was_retry": false, "was_random": false, "note": "Moving ↑ to [2,0] completes edge (2,0)-(2,1) [BLUE], reducing W from 3 to 2. Next: move ← to complete (1,0)-(2,0), then ← again to complete (0,0)-(1,0), achieving W=0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 2, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.7326, "blue_efficiency": 0.2381, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.53, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 3, 0 ], "facing": "→", "response_ms": 3179, "was_retry": false, "was_random": false, "note": "Moving → to [3,0] completes edge (2,0)-(3,0) [BLUE], reducing W from 3 to 2. Next: move ← twice to reach [1,0] completing (1,0)-(2,0), then ← to [0,0] completing (0,0)-(1,0), achieving W=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7356, "blue_efficiency": 0.2344, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.53, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3459, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] adds thickness to edge (3,0)-(2,1) [BLUE]. Next: move ↙ to [2,0] to complete target edge (2,0)-(1,0) if available, otherwise ↙ to [1,0] then ← to [0,0] to complete both remaining tar", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "step": 8, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7386, "blue_efficiency": 0.2308, "S": 4, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.52, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 1 ], "facing": "←", "response_ms": 3083, "was_retry": false, "was_random": false, "note": "Moving ← to [1,1] completes edge (2,1)-(1,1) [BLUE]. From [1,1], next move must be ↙ to [1,0] to complete target (1,0)-(2,0), then ← to [0,0] to complete target (0,0)-(1,0), achieving W=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.7416, "blue_efficiency": 0.2273, "S": 5, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.52, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "↑", "response_ms": 4164, "was_retry": false, "was_random": false, "note": "Moving ↑ to [1,0] completes target edge (1,0)-(1,1) [BLUE], reducing W from 2 to 1. Next must move ← to [0,0] to complete final target (0,0)-(1,0) and achieve W=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 2, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2857, "epsilon_passive": 0.0, "epsilon_active": 0.4286, "epsilon_total": 0.4286, "rho_minus_epsilon": -0.1429, "blue_ratio_cum": 0.7444, "blue_efficiency": 0.2388, "S": 6, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.51, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, 0 ], "facing": "→", "response_ms": 3855, "was_retry": false, "was_random": false, "note": "Moving → to [2,0] completes target edge (1,0)-(2,0) [BLUE], reducing W from 2 to 1. Next must move ← to [1,0] then ← to [0,0] to complete final target (0,0)-(1,0) and achieve W=0.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 11, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.375, "epsilon_total": 0.375, "rho_minus_epsilon": -0.125, "blue_ratio_cum": 0.7473, "blue_efficiency": 0.2353, "S": 7, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.51, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 1 ], "facing": "↙", "response_ms": 3498, "was_retry": false, "was_random": false, "note": "Moving ↙ to [1,1] is BLUE but doesn't help W=1. Must move ← from [1,1] to [1,0] then ← to [0,0] to complete target (0,0)-(1,0) and win.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 12, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.3333, "epsilon_total": 0.3333, "rho_minus_epsilon": -0.1111, "blue_ratio_cum": 0.75, "blue_efficiency": 0.2319, "S": 7, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.5, "edges_at_risk": 5, "mean_thickness": 1.286, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 0 ], "facing": "↑", "response_ms": 3075, "was_retry": false, "was_random": false, "note": "Moving ↑ to [1,0] is BLUE and positions me to move ← to [0,0] next turn, completing the final target edge (0,0)-(1,0) and reducing W from 1 to 0 for victory.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 13, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7419, "blue_efficiency": 0.2319, "S": 7, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.49, "edges_at_risk": 5, "mean_thickness": 1.286, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 0, 0 ], "facing": "←", "response_ms": 2496, "was_retry": false, "was_random": false, "note": "Moving ← to [0,0] completes the final target edge (0,0)-(1,0), reducing W from 1 to 0 and winning the game.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 14, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7447, "blue_efficiency": 0.2286, "S": 8, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.49, "edges_at_risk": 6, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 1 ], "facing": "↘", "response_ms": 2251, "was_retry": false, "was_random": false, "note": "Moving ↘ to [1,1] completes target edge (0,0)-(1,0) as BLUE, reducing W from 1 to 0 and winning the game.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 15, "level": 2, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7368, "blue_efficiency": 0.2286, "S": 8, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.48, "edges_at_risk": 6, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,1)-(0,1)" ], "total_edges": 10, "position": [ 0, 1 ], "facing": "←", "response_ms": 2761, "was_retry": false, "was_random": false, "note": "Move ← to [0,1] then ↙ to [0,0] to complete target edge (0,0)-(1,0) with a BLUE move, reducing W from 1 to 0.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 16, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7396, "blue_efficiency": 0.2254, "S": 9, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.48, "edges_at_risk": 7, "mean_thickness": 1.222, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,1)-(0,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ -1, 0 ], "facing": "↖", "response_ms": 3007, "was_retry": false, "was_random": false, "note": "Must move ↙ next from [-1,0] to complete target (0,0)-(1,0) with BLUE, reducing W from 2 to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(0,1)-(-1,0)": 1 }, "target_stability": 0.4 }, { "step": 17, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7423, "blue_efficiency": 0.2222, "S": 10, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.47, "edges_at_risk": 8, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 0 ], "facing": "→", "response_ms": 2602, "was_retry": false, "was_random": false, "note": "From [0,0] facing →, move ↘ to complete target edge (0,0)-(1,0) as BLUE, reducing W from 2 to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 18, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7449, "blue_efficiency": 0.2192, "S": 10, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.46, "edges_at_risk": 7, "mean_thickness": 1.3, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 1 ], "facing": "↘", "response_ms": 2778, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↘, move ↖ to [0,1] to complete the last target edge (1,1)-(0,1) as BLUE, reducing W from 1 to 0 and winning the game.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 2, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 19, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7475, "blue_efficiency": 0.2162, "S": 11, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.46, "edges_at_risk": 8, "mean_thickness": 1.273, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,1)-(0,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 0, 2 ], "facing": "↙", "response_ms": 3954, "was_retry": false, "was_random": false, "note": "From [0,1] facing ↙, must complete the final target edge (0,1)-(1,1) by moving toward [1,1] to reduce W from 2 to 0 and win.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 2, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.75, "blue_efficiency": 0.2133, "S": 12, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.45, "edges_at_risk": 9, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,1)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 1 ], "facing": "↑", "response_ms": 3022, "was_retry": false, "was_random": false, "note": "From [0,2] facing ↙, moved ↑ to [0,1] as BLUE. Next move must go ↘ to [1,1] to complete target edge (0,1)-(1,1) and reduce W to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 2, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 2, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7525, "blue_efficiency": 0.2237, "S": 13, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.45, "edges_at_risk": 10, "mean_thickness": 1.231, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,1)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,1)-(0,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 1 ], "facing": "→", "response_ms": 3392, "was_retry": false, "was_random": false, "note": "From [0,1] facing ↑, moved → to [1,1] as BLUE completing target edge (0,1)-(1,1). W reduced to 1. Next must complete final target (0,0)-(1,0) by moving from [1,1] toward those coordinates.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(0,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 22, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7451, "blue_efficiency": 0.2237, "S": 13, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.44, "edges_at_risk": 11, "mean_thickness": 1.154, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8462, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 0 ], "facing": "↖", "response_ms": 5312, "was_retry": false, "was_random": false, "note": "From [1,1] facing →, moved ↖ to [0,0] as GREY to reach the final target edge (0,0)-(1,0). Next move must go → to [1,0] as BLUE to complete this last target and win (W=0).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 23, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7379, "blue_efficiency": 0.2237, "S": 13, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.43, "edges_at_risk": 11, "mean_thickness": 1.154, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8462, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 0 ], "facing": "→", "response_ms": 3228, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↖, moved → to [1,0] as BLUE to complete the final target edge (0,0)-(1,0), reducing W to 0 and winning the game.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 24, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7404, "blue_efficiency": 0.2208, "S": 14, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.43, "edges_at_risk": 12, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 1 ], "facing": "↙", "response_ms": 3445, "was_retry": false, "was_random": false, "note": "W=1, not 0. Target (0,0)-(1,0) still incomplete. From [1,0] facing →, moved ↙ to [0,1] as BLUE. This should complete target (0,0)-(1,0) if it connects these vertices. Next: verify W=0 or identify rema", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 25, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7429, "blue_efficiency": 0.2179, "S": 15, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.42, "edges_at_risk": 13, "mean_thickness": 1.133, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8667, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 0, 0 ], "facing": "↑", "response_ms": 3278, "was_retry": false, "was_random": false, "note": "W=1 means target (0,0)-(1,0) remains incomplete. From [0,1] facing ↙, move ↑ to [0,0] as BLUE to complete edge (0,1)-(0,0), then next turn move → to [1,0] to finally complete target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 26, "level": 2, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7453, "blue_efficiency": 0.2278, "S": 16, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.42, "edges_at_risk": 14, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 1, 0 ], "facing": "→", "response_ms": 3059, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↑, moved → to [1,0] as BLUE to complete the only remaining target edge (0,0)-(1,0), reducing W from 1 to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(-1,0)": 1, "(-1,0)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 26, "event": "LEVEL_COMPLETE", "completed_level": 2, "new_level": 3, "cumulative_blue_at_transition": 79, "cumulative_total_at_transition": 106, "cumulative_w_reductions": 18 }, { "step": 4, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 0.7477, "blue_efficiency": 0.225, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.42, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3010, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] completes edge (2,0)-(3,0) reducing W to 2. Next: move to complete (1,0)-(2,0), then (0,0)-(1,0).", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 0.75, "blue_efficiency": 0.2222, "S": 2, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.42, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3821, "was_retry": false, "was_random": false, "note": "Moving ↖ to [1,0] completes edge (2,1)-(1,0). Wait—checking map: this creates NEW edge, not a target. Must move ↑ to [2,0] then ← to [1,0] to complete (1,0)-(2,0). Correcting: ↑ first.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 3, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.7523, "blue_efficiency": 0.2317, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.42, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "→", "response_ms": 2266, "was_retry": false, "was_random": false, "note": "Moving → to [2,0] completes target (1,0)-(2,0), reducing W to 2. Next: move ← to [1,0] then ← to [0,0] to complete final target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7545, "blue_efficiency": 0.2289, "S": 4, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.42, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 1 ], "facing": "↙", "response_ms": 3274, "was_retry": false, "was_random": false, "note": "Moving ↙ to [1,1] then ↖ to [1,0] then ← to [0,0] completes target (0,0)-(1,0). After that, move → three times to reach and complete (2,0)-(3,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7568, "blue_efficiency": 0.2262, "S": 5, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.41, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.75, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "↑", "response_ms": 3723, "was_retry": false, "was_random": false, "note": "Moving ↑ to [1,0] (BLUE) brings me adjacent to target (0,0)-(1,0). Next move must be ← to [0,0] to complete this target and reduce W to 1.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 9, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.75, "blue_efficiency": 0.2262, "S": 5, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.41, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 0, 0 ], "facing": "←", "response_ms": 2816, "was_retry": false, "was_random": false, "note": "Completed target (0,0)-(1,0), reducing W to 1. Next: move → to [1,0], then → to [2,0], then → to [3,0] to complete final target (2,0)-(3,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 3, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.5714, "epsilon_total": 0.5714, "rho_minus_epsilon": -0.4286, "blue_ratio_cum": 0.7434, "blue_efficiency": 0.2262, "S": 5, "arrow": "↗", "is_blue": false, "first_pass_valid": false, "bite_in": 26, "oxygen_pct": 99.4, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,-1)" ], "total_edges": 8, "position": [ 1, -1 ], "facing": "↗", "response_ms": 3800, "was_retry": true, "was_random": false, "note": "Moving ↗ to [1,-1] then → to [2,-1] then ↘ to [3,0] will complete final target (2,0)-(3,0) and reduce W to 0.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 11, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.125, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.375, "blue_ratio_cum": 0.7456, "blue_efficiency": 0.2235, "S": 6, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.39, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 0 ], "facing": "↘", "response_ms": 3766, "was_retry": false, "was_random": false, "note": "Moving ↘ to [2,0] completes target (0,0)-(1,-1) by crossing it (from [1,-1] to [2,0] crosses edge (1,-1)-(2,0) which connects to the target path). Next must move → to [3,0] to complete final target (2", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 12, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1111, "epsilon_passive": 0.0, "epsilon_active": 0.4444, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.7391, "blue_efficiency": 0.2235, "S": 6, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.39, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 3, 0 ], "facing": "→", "response_ms": 3321, "was_retry": false, "was_random": false, "note": "Moving → to [3,0] completes target (2,0)-(3,0), reducing W from 3 to 2. Next priority: complete target (0,0)-(1,0) by moving from [3,0] toward [1,0] using existing edges to avoid creating new targets.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 13, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7414, "blue_efficiency": 0.2209, "S": 7, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.38, "edges_at_risk": 7, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 2, -1 ], "facing": "↖", "response_ms": 3285, "was_retry": false, "was_random": false, "note": "Moving ↖ to [2,-1] is BLUE and creates new edge (3,0)-(2,-1). This does not complete any target. Must reach (0,0)-(1,0) or (0,0)-(1,-1) next. From [2,-1], move toward [1,0] to complete (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7436, "blue_efficiency": 0.2184, "S": 8, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.38, "edges_at_risk": 8, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "↙", "response_ms": 2863, "was_retry": false, "was_random": false, "note": "Moving ↙ to [1,0] is BLUE and completes target (0,0)-(1,0) by crossing it, reducing W from 3 to 2. Next must complete final target (0,0)-(1,-1) by moving from [1,0] to [0,0] or [1,-1].", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 15, "level": 3, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7373, "blue_efficiency": 0.2184, "S": 8, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.37, "edges_at_risk": 8, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,0)-(1,-1)" ], "total_edges": 12, "position": [ 1, -1 ], "facing": "↑", "response_ms": 3462, "was_retry": false, "was_random": false, "note": "Moving ↑ to [1,-1] is GREY (does not complete target (0,0)-(1,-1) since we're moving away from [0,0]). From [1,-1], must move ← to [0,-1] then ↓ to [0,0] then ↘ to [1,-1] to complete final target and ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 3, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7311, "blue_efficiency": 0.2184, "S": 8, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.36, "edges_at_risk": 8, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.88, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 0 ], "facing": "↙", "response_ms": 3252, "was_retry": false, "was_random": false, "note": "Moving ↙ to [0,0] is GREY but positions us to complete target (0,0)-(1,-1) next turn by moving ↘ back to [1,-1], which will be BLUE and reduce W from 4 to 3.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 17, "level": 3, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7333, "blue_efficiency": 0.2273, "S": 9, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.36, "edges_at_risk": 9, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.12, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "→", "response_ms": 2952, "was_retry": false, "was_random": false, "note": "Moving → to [1,0] is BLUE and completes target (0,0)-(1,0), reducing W from 4 to 3. Next must complete (1,0)-(1,-1) by moving ↓ to [1,-1] which will be BLUE.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 18, "level": 3, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7355, "blue_efficiency": 0.236, "S": 10, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.35, "edges_at_risk": 10, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, -1 ], "facing": "↑", "response_ms": 2753, "was_retry": false, "was_random": false, "note": "Moving ↑ to [1,-1] is BLUE and completes target (1,0)-(1,-1), reducing W from 3 to 2. Next must complete (0,0)-(1,-1) by moving ↙ to [0,0] which will be BLUE.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.8 }, { "step": 19, "level": 3, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7377, "blue_efficiency": 0.2444, "S": 11, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.35, "edges_at_risk": 11, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 0 ], "facing": "↙", "response_ms": 4352, "was_retry": false, "was_random": false, "note": "Moving ↙ to [0,0] is BLUE and completes target (0,0)-(1,-1), reducing W from 2 to 1. Next must complete final target (2,0)-(3,0) by reaching [2,0] then moving → to [3,0].", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 20, "level": 3, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7398, "blue_efficiency": 0.2418, "S": 11, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.34, "edges_at_risk": 10, "mean_thickness": 1.091, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9091, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "→", "response_ms": 3397, "was_retry": false, "was_random": false, "note": "Moving → to [1,0] is BLUE, advancing toward target (2,0)-(3,0). From [1,0], must move → to [2,0], then → to [3,0] to complete final target and win (W=0).", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.8 }, { "step": 21, "level": 3, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7339, "blue_efficiency": 0.2418, "S": 10, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.33, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "→", "response_ms": 2217, "was_retry": false, "was_random": false, "note": "At [2,0], the move → to [3,0] is BLUE and completes the final target (2,0)-(3,0), reducing W from 1 to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 2, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.8 }, { "step": 22, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.728, "blue_efficiency": 0.2418, "S": 10, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.33, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 3, 0 ], "facing": "→", "response_ms": 2966, "was_retry": false, "was_random": false, "note": "Move → to [3,0] completes target (2,0)-(3,0), reducing W from 2 to 1. Then must complete remaining target (1,0)-(2,0) by reaching [1,0] and moving → to [2,0].", "thickness_map": { "(0,0)-(1,0)": 2, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.8 }, { "step": 23, "level": 3, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.7222, "blue_efficiency": 0.2418, "S": 9, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.32, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(3,0)-(2,1)" ], "new_targets_created": [], "total_edges": 12, "position": [ 2, 1 ], "facing": "↙", "response_ms": 4085, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, move ↙ to [2,1] is GREY (repositioning). From [2,1], move ↙ to [1,0], then → to [2,0] completes target (1,0)-(2,0) reducing W to 1. Then → to [3,0] completes target (2,0)-(3,0) redu", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 24, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.7244, "blue_efficiency": 0.2391, "S": 9, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.32, "edges_at_risk": 7, "mean_thickness": 1.222, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 0, "d_mean": 0.83, "d_max": 1, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3245, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↙, move ↖ to [1,0] is BLUE. From [1,0], move → to [2,0] completes target (1,0)-(2,0) reducing W to 2. Then → to [3,0] completes target (2,0)-(3,0) reducing W to 1. Then ↘ to [2,1] comp", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 25, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7266, "blue_efficiency": 0.2366, "S": 9, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.31, "edges_at_risk": 6, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, -1 ], "facing": "↑", "response_ms": 3138, "was_retry": false, "was_random": false, "note": "From [1,-1], must move → to [2,0] completing target (1,0)-(2,0), then → to [3,0] completing target (2,0)-(3,0), then ↘ to [2,1] completing target (3,0)-(2,1), reducing W to 0.", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2 }, "target_stability": 0.6 }, { "step": 26, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7287, "blue_efficiency": 0.234, "S": 9, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.3, "edges_at_risk": 5, "mean_thickness": 1.444, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "↘", "response_ms": 3205, "was_retry": false, "was_random": false, "note": "At [2,0] facing ↘, move → to [3,0] completes target (2,0)-(3,0) reducing W to 2. Then ↘ to [2,1] completes target (3,0)-(2,1) reducing W to 1. Then ↙ repositions to [1,0], then → returns to [2,0] comp", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2 }, "target_stability": 0.6 }, { "step": 27, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7231, "blue_efficiency": 0.234, "S": 9, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.3, "edges_at_risk": 5, "mean_thickness": 1.444, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 0, "d_mean": 0.67, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 3, 0 ], "facing": "→", "response_ms": 3537, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, move ↘ to [2,1] completes target (3,0)-(2,1) reducing W to 2. Then ↙ to [1,0] completes target (2,0)-(1,0) reducing W to 1. Then → to [2,0] repositions, then → to [3,0] repositions,", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2 }, "target_stability": 0.6 }, { "step": 28, "level": 3, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7176, "blue_efficiency": 0.234, "S": 9, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.29, "edges_at_risk": 5, "mean_thickness": 1.444, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(3,0)-(4,1)" ], "total_edges": 13, "position": [ 4, 1 ], "facing": "↘", "response_ms": 4058, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↘, move ↙ to [1,0] to complete target (2,0)-(1,0) reducing W to 2, then → to [2,0] to complete target (1,0)-(2,0) reducing W to 1, then → to [3,0] repositions, then ↘ completes final t", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2 }, "target_stability": 0.6 }, { "step": 29, "level": 3, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7197, "blue_efficiency": 0.2316, "S": 10, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.29, "edges_at_risk": 6, "mean_thickness": 1.4, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(3,0)-(4,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 3, 1 ], "facing": "←", "response_ms": 3742, "was_retry": false, "was_random": false, "note": "At [4,1] facing ↘, move ← to [3,1] creates edge (4,1)-(3,1). Then ← to [2,1] repositions. Then ↙ to [1,0] completes target (2,1)-(1,0) reducing W to 3. Then → to [2,0] completes target (1,0)-(2,0) red", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(4,1)-(3,1)": 1 }, "target_stability": 0.6 }, { "step": 30, "level": 3, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7218, "blue_efficiency": 0.2292, "S": 11, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.28, "edges_at_risk": 7, "mean_thickness": 1.364, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 1, "d_mean": 1.38, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, 0 ], "facing": "↑", "response_ms": 3181, "was_retry": false, "was_random": false, "note": "At [3,1] facing ←, move ↑ to [3,0] completes target (3,0)-(4,1) reducing W to 3. Then ↙ to [2,0] completes target (3,0)-(2,0) reducing W to 2. Then ↙ to [1,0] completes target (2,0)-(1,0) reducing W t", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(4,1)-(3,1)": 1, "(3,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 31, "level": 3, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7164, "blue_efficiency": 0.2292, "S": 11, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.27, "edges_at_risk": 7, "mean_thickness": 1.364, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 0, "d_mean": 0.75, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3717, "was_retry": false, "was_random": false, "note": "At [3,0] facing ↑, move ↙ to [2,1] completes target (3,0)-(2,1) reducing W to 3. Then ↙ to [1,0] positions toward target (2,0)-(1,0). Then → to [2,0] completes target (1,0)-(2,0) reducing W to 2. Then", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 2, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(4,1)-(3,1)": 1, "(3,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 32, "level": 3, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7111, "blue_efficiency": 0.2292, "S": 11, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.27, "edges_at_risk": 8, "mean_thickness": 1.273, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 0 ], "facing": "↖", "response_ms": 6580, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↙, moved ↖ to [1,0] (GREY repositioning). Next: → to [2,0] completes TARGET (1,0)-(2,0) reducing W to 3. Then → to [3,0] completes TARGET (2,0)-(3,0) reducing W to 2. Then ↘ to [2,1] c", "thickness_map": { "(0,0)-(1,0)": 2, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(4,1)-(3,1)": 1, "(3,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 33, "level": 3, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7132, "blue_efficiency": 0.2371, "S": 12, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.26, "edges_at_risk": 9, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 2, 0 ], "facing": "→", "response_ms": 3375, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, moved → to [2,0] completing TARGET (1,0)-(2,0) reducing W to 3. Next: → to [3,0] completes TARGET (2,0)-(3,0) reducing W to 2. Then ↘ to [2,1] completes TARGET (3,0)-(2,1) reducing ", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(4,1)-(3,1)": 1, "(3,1)-(3,0)": 1 }, "target_stability": 0.8 }, { "step": 34, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.708, "blue_efficiency": 0.2371, "S": 12, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.26, "edges_at_risk": 9, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, 0 ], "facing": "→", "response_ms": 2792, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, move → to [3,0] completes TARGET (2,0)-(3,0) reducing W to 2. Then ↘ to [2,1] completes TARGET (3,0)-(2,1) reducing W to 1. Then ↗ to [3,0] then ↘ to [4,1] completes final TARGET (3", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(4,1)-(3,1)": 1, "(3,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 35, "level": 3, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7101, "blue_efficiency": 0.2449, "S": 13, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.25, "edges_at_risk": 10, "mean_thickness": 1.231, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(3,0)-(4,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 4, 1 ], "facing": "↘", "response_ms": 4273, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↘ to [4,1] completing TARGET (3,0)-(4,1) reducing W to 2. Next: ↙ to [3,0] then ↓ to [2,1] completes TARGET (3,0)-(2,1) reducing W to 1. Then ↗ to [3,0] then → to [2,0] comple", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 1, "(3,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 36, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7122, "blue_efficiency": 0.2424, "S": 13, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 99.24, "edges_at_risk": 10, "mean_thickness": 1.231, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, 1 ], "facing": "←", "response_ms": 2806, "was_retry": false, "was_random": false, "note": "At [4,1] facing ↘, move ← to [3,1] then ↙ to [3,0] then ↓ to [2,1] completes TARGET (3,0)-(2,1) reducing W to 1. Then ↗ to [3,0] then ← to [2,0] completes final TARGET (2,0)-(3,0) reducing W to 0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 37, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.24, "S": 13, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.24, "edges_at_risk": 9, "mean_thickness": 1.308, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6923, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, 0 ], "facing": "↑", "response_ms": 2925, "was_retry": false, "was_random": false, "note": "At [3,1] facing ←, moved ↑ to [3,0] then ↓ to [2,1] completes TARGET (3,0)-(2,1) reducing W to 1. Then ↗ to [3,0] then ← to [2,0] completes final TARGET (2,0)-(3,0) reducing W to 0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 2 }, "target_stability": 0.4 }, { "step": 38, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7092, "blue_efficiency": 0.24, "S": 13, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.23, "edges_at_risk": 9, "mean_thickness": 1.308, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6923, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3226, "was_retry": false, "was_random": false, "note": "At [3,0] facing ↑, moved ↙ to [2,1] completing TARGET (3,0)-(2,1) reducing W to 1. Next: from [2,1] move ↘ to [3,0] then ← to [2,0] completes final TARGET (2,0)-(3,0) reducing W to 0 and winning the g", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 2 }, "target_stability": 0.2 }, { "step": 39, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7113, "blue_efficiency": 0.2376, "S": 14, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.23, "edges_at_risk": 10, "mean_thickness": 1.286, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 3, 1 ], "facing": "→", "response_ms": 2211, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↙, move → to [3,1] then ↙ to [3,0] then ← to [2,0] completes final TARGET (2,0)-(3,0) reducing W to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 2, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 40, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7133, "blue_efficiency": 0.2353, "S": 14, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.22, "edges_at_risk": 10, "mean_thickness": 1.357, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 3, 0 ], "facing": "↑", "response_ms": 2809, "was_retry": false, "was_random": false, "note": "At [3,1] facing →, moved ↑ to [3,0] completing TARGET (3,0)-(2,1). Next move ← to [2,0] completes final TARGET (2,0)-(3,0) reducing W to 0 and winning.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 3, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 41, "level": 3, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.7153, "blue_efficiency": 0.2427, "S": 15, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.21, "edges_at_risk": 11, "mean_thickness": 1.333, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7333, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 2, 0 ], "facing": "←", "response_ms": 2990, "was_retry": false, "was_random": false, "note": "At [3,0] facing ↑, move ← to [2,0] completes TARGET (2,0)-(3,0), reducing W from 2 to 1. Then from [2,0] move → to [3,0] then ↙ to [2,1] completes TARGET (3,0)-(2,1), reducing W to 0 and winning.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 3, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 42, "level": 3, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.7172, "blue_efficiency": 0.2404, "S": 16, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.21, "edges_at_risk": 12, "mean_thickness": 1.312, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 2, 1 ], "facing": "↓", "response_ms": 2696, "was_retry": false, "was_random": false, "note": "At [2,0] facing ←, move ↓ to [2,1] completes the final TARGET (3,0)-(2,1) as a BLUE move, reducing W from 1 to 0 and winning the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 3, "(2,1)-(3,1)": 1, "(2,0)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 43, "level": 3, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.7192, "blue_efficiency": 0.2476, "S": 17, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.2, "edges_at_risk": 13, "mean_thickness": 1.294, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7647, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(3,0)-(2,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 3, 0 ], "facing": "↗", "response_ms": 2432, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↓, move ↗ to [3,0] then → to [2,1] completes TARGET (3,0)-(2,1) as BLUE, reducing W from 1 to 0 and winning.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1, "(1,0)-(1,-1)": 2, "(3,0)-(4,1)": 1, "(4,1)-(3,1)": 2, "(3,1)-(3,0)": 3, "(2,1)-(3,1)": 1, "(2,0)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 43, "event": "LEVEL_COMPLETE", "completed_level": 3, "new_level": 4, "cumulative_blue_at_transition": 105, "cumulative_total_at_transition": 146, "cumulative_w_reductions": 26 }, { "step": 4, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 0.7211, "blue_efficiency": 0.2453, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.2, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3069, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] completes target (2,0)-(3,0) reducing W from 3 to 2. Next: continue toward (1,0) to complete middle target.", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 0.723, "blue_efficiency": 0.243, "S": 2, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.2, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2923, "was_retry": false, "was_random": false, "note": "Moving ↖ to [1,0] completes target (2,0)-(1,0), reducing W from 3 to 2. Next: move ← to [0,0] to complete final target (1,0)-(0,0) and reach W=0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 4, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.7248, "blue_efficiency": 0.25, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.2, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "→", "response_ms": 2863, "was_retry": false, "was_random": false, "note": "Moving → to [2,0] completes target (1,0)-(2,0) reducing W from 3 to 2. Next: move → again to [3,0] to complete target (2,0)-(3,0) and continue reducing W.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7267, "blue_efficiency": 0.2477, "S": 4, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.2, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 3, 1 ], "facing": "↘", "response_ms": 2827, "was_retry": false, "was_random": false, "note": "Moving ↘ to [3,1] completes target (2,0)-(3,0) reducing W from 2 to 1. Next: must reach (0,0) to complete final target (0,0)-(1,0) for W=0.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7285, "blue_efficiency": 0.2455, "S": 5, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.2, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, 1 ], "facing": "←", "response_ms": 3973, "was_retry": false, "was_random": false, "note": "Moving ← to [2,1] is BLUE and safe. From [2,1] I can reach [1,0] then [0,0] to complete the final target (0,0)-(1,0) and win with W=0.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 9, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.7303, "blue_efficiency": 0.2432, "S": 5, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.19, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2977, "was_retry": false, "was_random": false, "note": "Moving ↖ to [1,0] is BLUE. From [1,0] facing ↖, next move ↙ to [0,0] will complete the final target (0,0)-(1,0), reducing W from 2 to 0 and winning the game.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.4286, "epsilon_total": 0.4286, "rho_minus_epsilon": -0.2857, "blue_ratio_cum": 0.7255, "blue_efficiency": 0.2432, "S": 5, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.18, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 0, 0 ], "facing": "←", "response_ms": 2751, "was_retry": false, "was_random": false, "note": "Moving ← to [0,0] completes target (0,0)-(1,0), reducing W from 2 to 1. Then must move to complete remaining target (2,0)-(3,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 11, "level": 4, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.125, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.375, "blue_ratio_cum": 0.7208, "blue_efficiency": 0.2432, "S": 5, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.18, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,-1)" ], "total_edges": 8, "position": [ 1, -1 ], "facing": "↗", "response_ms": 2940, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↗, move → to [2,-1], then ↘ to [3,0] to complete target (2,0)-(3,0) and win.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 12, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1111, "epsilon_passive": 0.0, "epsilon_active": 0.4444, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.7226, "blue_efficiency": 0.2411, "S": 6, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.17, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 0 ], "facing": "↘", "response_ms": 2591, "was_retry": false, "was_random": false, "note": "From [2,0] facing ↘, move → to [3,0] to complete target (2,0)-(3,0), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(1,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 13, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7179, "blue_efficiency": 0.2411, "S": 6, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.17, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 3, 0 ], "facing": "→", "response_ms": 3159, "was_retry": false, "was_random": false, "note": "Moved → to [3,0] completing target (2,0)-(3,0). W now 2. Next: complete (0,0)-(1,0) by reaching [0,0] or [1,0], then complete (0,0)-(1,-1).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(1,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7197, "blue_efficiency": 0.2389, "S": 7, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.16, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 2, -1 ], "facing": "↖", "response_ms": 3331, "was_retry": false, "was_random": false, "note": "From [3,0] facing →, moved ↖ to [2,-1] completing a blue edge. Next: move ↙ to [1,-1] then ↖ to [0,0] to position for completing target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 15, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7215, "blue_efficiency": 0.2368, "S": 8, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.16, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 0 ], "facing": "↓", "response_ms": 3401, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ↖, moved ↓ to [2,0] (BLUE) but doesn't reduce W. Must reach [1,0] or [0,0] to complete target (0,0)-(1,0). Next: move ← to [1,0] then ← to [0,0] to complete (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 4, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.717, "blue_efficiency": 0.2368, "S": 7, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.15, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "←", "response_ms": 3214, "was_retry": false, "was_random": false, "note": "Move ← to [1,0] (GREY repositioning). From [1,0] facing ←, next move ← to [0,0] will complete target (0,0)-(1,0) BLUE, reducing W to 2.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 17, "level": 4, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7125, "blue_efficiency": 0.2368, "S": 7, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.14, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 0.88, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 0, 0 ], "facing": "←", "response_ms": 3561, "was_retry": false, "was_random": false, "note": "From [0,0] facing ←, must complete target (0,0)-(1,-1). Move ↓ to [1,-1] will be BLUE, reducing W to 3. Then assess remaining targets.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 18, "level": 4, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.2435, "S": 8, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.14, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, -1 ], "facing": "↗", "response_ms": 3183, "was_retry": false, "was_random": false, "note": "Moved ↗ to [1,-1] (BLUE) completing target (0,0)-(1,-1), reducing W to 3. From [1,-1] facing ↗, next move ← to [0,-1] then ← to [0,0] to complete target (0,0)-(1,0).", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 19, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.716, "blue_efficiency": 0.2414, "S": 9, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.13, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "↓", "response_ms": 3141, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↗, moved ↓ to [1,0] (BLUE) completing target (0,0)-(1,0), reducing W to 2. Next: move → to [2,0] (BLUE) to complete target (1,0)-(2,0).", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7117, "blue_efficiency": 0.2414, "S": 9, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.13, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "→", "response_ms": 3127, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↓, move → to [2,0] (GREY won't reduce W - target already exists). Then from [2,0] facing →, move → to [3,0] (BLUE) to complete target (2,0)-(3,0), reducing W to 2.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7073, "blue_efficiency": 0.2414, "S": 9, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.12, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 3, 0 ], "facing": "→", "response_ms": 3741, "was_retry": false, "was_random": false, "note": "From [2,0] facing →, moved → to [3,0] (GREY, doesn't reduce W). Next from [3,0] facing →, must move ↙ to [2,0] (BLUE adds thickness) then ↙ to [1,0] (BLUE) to complete target (1,0)-(2,0), reducing W t", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 22, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7091, "blue_efficiency": 0.2393, "S": 9, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.11, "edges_at_risk": 7, "mean_thickness": 1.222, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, -1 ], "facing": "↖", "response_ms": 3435, "was_retry": false, "was_random": false, "note": "From [3,0] facing →, moved ↖ to [2,-1] (BLUE, adds thickness to existing edge). Next: from [2,-1] must move ↗ to [2,0] (BLUE adds thickness) then → to [3,0], then ↙ to [2,0] (BLUE) to complete target ", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 23, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7108, "blue_efficiency": 0.2373, "S": 9, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.11, "edges_at_risk": 6, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "↓", "response_ms": 2851, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ↖, moved ↓ to [2,0] (BLUE, adds thickness to existing edge). Next: from [2,0] facing ↓, move → to [3,0] (BLUE) to complete target (2,0)-(3,0), reducing W to 2.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 24, "level": 4, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7126, "blue_efficiency": 0.2437, "S": 10, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.1, "edges_at_risk": 7, "mean_thickness": 1.3, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 3, 0 ], "facing": "→", "response_ms": 2251, "was_retry": false, "was_random": false, "note": "From [3,0] facing →, move ↙ to [2,0] (BLUE adds thickness), then ← to [1,0] (BLUE) to complete target (1,0)-(2,0), reducing W to 2.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 25, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.2417, "S": 10, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.1, "edges_at_risk": 7, "mean_thickness": 1.4, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, -1 ], "facing": "↖", "response_ms": 3243, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ↙, must move ↗ to [2,0] (BLUE) then → to [3,0], then ↙ to [2,0] (BLUE adds thickness), then ← to [1,0] (BLUE) to complete target (1,0)-(2,0), then ← to [0,0] (BLUE) to complete targ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 26, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.716, "blue_efficiency": 0.2397, "S": 11, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.09, "edges_at_risk": 8, "mean_thickness": 1.364, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 1, "d_mean": 1.75, "d_max": 2, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 0 ], "facing": "↙", "response_ms": 2550, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↙, move ← to [0,0] (BLUE) to complete the remaining target (0,0)-(1,0), reducing W to 1.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 27, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7118, "blue_efficiency": 0.2397, "S": 11, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.08, "edges_at_risk": 8, "mean_thickness": 1.364, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 0, 0 ], "facing": "←", "response_ms": 2888, "was_retry": false, "was_random": false, "note": "From [0,0] facing ←, move → to [1,0] (BLUE) to complete the final target (1,0)-(2,0), reducing W to 0 and winning the game.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 28, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7135, "blue_efficiency": 0.2377, "S": 11, "arrow": "↗", "is_blue": true, "first_pass_valid": false, "bite_in": 7, "oxygen_pct": 99.08, "edges_at_risk": 7, "mean_thickness": 1.455, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, -1 ], "facing": "↗", "response_ms": 3047, "was_retry": true, "was_random": false, "note": "From [0,0] facing ←, moved ↗ to [1,-1] (BLUE, adds thickness). Next must move → to [2,-1] then ↗ to [2,0] then → to [3,0] then ↙ to [2,0] then ← to [1,0] (BLUE) to complete (1,0)-(2,0), then ← to [0,0", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 29, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7151, "blue_efficiency": 0.2358, "S": 11, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.07, "edges_at_risk": 6, "mean_thickness": 1.545, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 0 ], "facing": "↓", "response_ms": 3825, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↗, moved ↓ to [1,0] (BLUE, adds thickness to existing edge). Next must move → to [2,0] (BLUE) to complete target (1,0)-(2,0), reducing W to 1.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 30, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.711, "blue_efficiency": 0.2358, "S": 11, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.07, "edges_at_risk": 6, "mean_thickness": 1.545, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "→", "response_ms": 3420, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↓, moved → to [2,0] (GREY, unavoidable). Next must move ← to [1,0] then ← to [0,0] (both BLUE) to complete both remaining targets (1,0)-(2,0) and (0,0)-(1,0), reducing W to 0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 31, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7126, "blue_efficiency": 0.2339, "S": 11, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.06, "edges_at_risk": 5, "mean_thickness": 1.636, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4545, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, -1 ], "facing": "↖", "response_ms": 3302, "was_retry": false, "was_random": false, "note": "From [2,0] facing →, moved ↖ to [1,0] (BLUE, completes target (1,0)-(2,0), reduces W to 1). Next must move ← to [0,0] (BLUE) to complete final target (0,0)-(1,0), reducing W to 0 and winning.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 32, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.232, "S": 11, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.05, "edges_at_risk": 5, "mean_thickness": 1.727, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4545, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 0, 0 ], "facing": "↙", "response_ms": 3458, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↖, moved ↙ to [0,0] (BLUE, completes final target (0,0)-(1,0), reduces W to 1). Next must move → to [1,0] (BLUE) to complete remaining target (1,0)-(2,0), reducing W to 0 and winnin", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 33, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7159, "blue_efficiency": 0.2381, "S": 12, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.05, "edges_at_risk": 6, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 0 ], "facing": "→", "response_ms": 3627, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↙, moved → to [1,0] (BLUE, completes target (0,0)-(1,0), reduces W to 1). Next must move → to [2,0] (BLUE) to complete final target (1,0)-(2,0), reducing W to 0 and winning.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 34, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7119, "blue_efficiency": 0.2381, "S": 12, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.04, "edges_at_risk": 6, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "→", "response_ms": 2623, "was_retry": false, "was_random": false, "note": "From [1,0] facing →, moved → to [2,0] (GREY completes final target (1,0)-(2,0), reduces W to 0 and wins the game).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 35, "level": 4, "cycle": 1, "W": 3, "dW": 2, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7079, "blue_efficiency": 0.2381, "S": 11, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.04, "edges_at_risk": 5, "mean_thickness": 1.727, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4545, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [ "(2,0)-(1,1)" ], "total_edges": 14, "position": [ 1, 1 ], "facing": "↙", "response_ms": 3374, "was_retry": false, "was_random": false, "note": "From [2,0] facing →, moved ↙ to [1,1] (GREY). W=1 still with target (1,0)-(2,0) remaining. Must move ↘ to [2,0] (BLUE) to complete this final target and reduce W to 0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 36, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7095, "blue_efficiency": 0.2362, "S": 12, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.03, "edges_at_risk": 6, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.33, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 0 ], "facing": "↖", "response_ms": 3623, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↙, moved ↖ to [0,0] (BLUE). W=3 with targets (0,0)-(1,0), (1,0)-(2,0), (2,0)-(1,1). Next must move → to [1,0] (BLUE) to complete target (0,0)-(1,0) and reduce W to 2.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 37, "level": 4, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7111, "blue_efficiency": 0.2422, "S": 13, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.02, "edges_at_risk": 7, "mean_thickness": 1.615, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 1.33, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 0 ], "facing": "→", "response_ms": 3369, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↖, moved → to [1,0] (BLUE) completing target (0,0)-(1,0), reducing W to 2. Remaining targets: (1,0)-(2,0) and (2,0)-(1,1). Next must move → to [2,0] (BLUE) to complete target (1,0)-(", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 38, "level": 4, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7072, "blue_efficiency": 0.2422, "S": 13, "arrow": "↖", "is_blue": false, "first_pass_valid": false, "bite_in": 29, "oxygen_pct": 99.02, "edges_at_risk": 7, "mean_thickness": 1.615, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,0)-(0,-1)" ], "total_edges": 16, "position": [ 0, -1 ], "facing": "↖", "response_ms": 3170, "was_retry": true, "was_random": true, "note": "(random fallback)", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 39, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7088, "blue_efficiency": 0.2403, "S": 14, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.01, "edges_at_risk": 8, "mean_thickness": 1.571, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 0, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 0, 0 ], "facing": "↓", "response_ms": 3857, "was_retry": false, "was_random": false, "note": "From [0,-1] facing ↖, moved ↓ to [0,0] (BLUE) - this was available but doesn't reduce W. Current W=3 with targets (1,0)-(2,0), (2,0)-(1,1), (1,0)-(0,-1). Next must move → to [1,0] then → to [2,0] (BLU", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.8 }, { "step": 40, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7104, "blue_efficiency": 0.2385, "S": 14, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.01, "edges_at_risk": 7, "mean_thickness": 1.643, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 1, 0 ], "facing": "→", "response_ms": 3241, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↓, moved → to [1,0] (BLUE) adding thickness to existing edge. W=3 targets remain: (1,0)-(2,0), (2,0)-(1,1), (1,0)-(0,-1). Next must move → to [2,0] (BLUE) to complete target (1,0)-(2", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.8 }, { "step": 41, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7065, "blue_efficiency": 0.2385, "S": 14, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99, "edges_at_risk": 7, "mean_thickness": 1.643, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 2, 0 ], "facing": "→", "response_ms": 5857, "was_retry": false, "was_random": false, "note": "From [1,0] facing →, moved → to [2,0] (GREY - edge already exists completed). This does NOT reduce W and damages thickness. W=3. The three targets are (1,0)-(2,0), (2,0)-(1,1), (1,0)-(0,-1). Target (1", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 42, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7027, "blue_efficiency": 0.2385, "S": 14, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.99, "edges_at_risk": 7, "mean_thickness": 1.643, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 1, 1 ], "facing": "↙", "response_ms": 4019, "was_retry": false, "was_random": false, "note": "From [2,0] facing →, moved ↙ to [1,1] (BLUE) to complete target (2,0)-(1,1), reducing W from 3 to 2. Remaining targets: (1,0)-(2,0) and (1,0)-(0,-1). Next must navigate to complete (1,0)-(2,0) - need ", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 43, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7043, "blue_efficiency": 0.2366, "S": 15, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.99, "edges_at_risk": 8, "mean_thickness": 1.6, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5333, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, 0 ], "facing": "↑", "response_ms": 5295, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↙, moved ↑ to [1,0] (BLUE) to complete target (2,0)-(1,0), reducing W to 2. Wait - checking map: (1,0)-(2,0) is listed as TARGET and (2,0)-(1,1) is TARGET but I just completed (2,0)-", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 44, "level": 4, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7059, "blue_efficiency": 0.2424, "S": 16, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 98.98, "edges_at_risk": 9, "mean_thickness": 1.562, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5625, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 2, 0 ], "facing": "→", "response_ms": 3174, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↑, moved → to [2,0] (BLUE) to complete target (1,0)-(2,0), reducing W from 3 to 2. Remaining targets: (2,0)-(1,1) and (1,0)-(0,-1). From [2,0] must move ↙ to [1,1] to complete (2,0)-", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 45, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7074, "blue_efficiency": 0.2481, "S": 17, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.98, "edges_at_risk": 10, "mean_thickness": 1.529, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5882, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,1)", "target_switch": true, "B_at_switch": 5, "newly_colored": [ "(2,0)-(1,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, 1 ], "facing": "↙", "response_ms": 3922, "was_retry": false, "was_random": false, "note": "From [2,0] facing →, moved ↙ to [1,1] (BLUE) to complete target (2,0)-(1,1), reducing W from 2 to 1. Only remaining target is (1,0)-(0,-1). From [1,1] must navigate to position [1,0] facing ↙ or [0,-1", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 46, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.709, "blue_efficiency": 0.2463, "S": 17, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.97, "edges_at_risk": 9, "mean_thickness": 1.588, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5294, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, 0 ], "facing": "↑", "response_ms": 2994, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↙, moved ↑ to [1,0] (BLUE) adding thickness to existing edge. W remains 1. From [1,0] must move ↙ to [0,-1] (BLUE) to complete final target (1,0)-(0,-1) and win with W=0.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 2 }, "target_stability": 0.6 }, { "step": 47, "level": 4, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7053, "blue_efficiency": 0.2463, "S": 17, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.96, "edges_at_risk": 9, "mean_thickness": 1.588, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5294, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,0)-(0,1)" ], "total_edges": 19, "position": [ 0, 1 ], "facing": "↙", "response_ms": 4274, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↑, moved ↙ to [0,-1] (GREY, target edge) to complete final target (1,0)-(0,-1), reducing W from 1 to 0. VICTORY ACHIEVED - all targets completed.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 2 }, "target_stability": 0.6 }, { "step": 48, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7068, "blue_efficiency": 0.2444, "S": 18, "arrow": "→", "is_blue": true, "first_pass_valid": false, "bite_in": 19, "oxygen_pct": 98.96, "edges_at_risk": 10, "mean_thickness": 1.556, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 1 ], "facing": "→", "response_ms": 4006, "was_retry": true, "was_random": false, "note": "Current W=2, not 0. Must complete targets (1,0)-(0,-1) and (1,0)-(0,1). From [0,1] facing ↙, moving → to [1,1] is BLUE and reaches position adjacent to target (1,0)-(0,1). Next move from [1,1] must be", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 2, "(0,1)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 49, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 2, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7083, "blue_efficiency": 0.2426, "S": 18, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.95, "edges_at_risk": 10, "mean_thickness": 1.611, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 1, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 0 ], "facing": "↑", "response_ms": 2058, "was_retry": false, "was_random": false, "note": "From [1,1] facing →, moved ↑ to [1,0] (BLUE) adding thickness to existing edge. W still 2. From [1,0] must move ↙ to [0,-1] (BLUE) to complete target (1,0)-(0,-1), reducing W to 1.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 50, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7098, "blue_efficiency": 0.2482, "S": 19, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 98.95, "edges_at_risk": 11, "mean_thickness": 1.579, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5789, "d_min": 0, "d_mean": 0.75, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(0,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 0, -1 ], "facing": "↖", "response_ms": 3237, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↑, moved ↖ to [0,-1] (BLUE) completing target edge (1,0)-(0,-1), reducing W from 2 to 1. Remaining target: (1,0)-(0,1). Must return to [1,0] and move to [0,1] to complete final targe", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 51, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7113, "blue_efficiency": 0.2464, "S": 19, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 98.94, "edges_at_risk": 10, "mean_thickness": 1.632, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5263, "d_min": 2, "d_mean": 2.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 0, 0 ], "facing": "↓", "response_ms": 3260, "was_retry": false, "was_random": false, "note": "W=1. Only target: (1,0)-(0,1). From [0,-1] moved ↓ to [0,0] (BLUE). Next must move → to [1,0], then ↙ to [0,1] to complete final target (1,0)-(0,1) and win.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 52, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7128, "blue_efficiency": 0.2446, "S": 19, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.93, "edges_at_risk": 10, "mean_thickness": 1.684, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5263, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 0 ], "facing": "→", "response_ms": 2739, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, must move ↙ to [0,1] to complete the final target edge (1,0)-(0,1) and reduce W from 1 to 0 for victory.", "thickness_map": { "(0,0)-(1,0)": 3, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 53, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7092, "blue_efficiency": 0.2446, "S": 19, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.93, "edges_at_risk": 10, "mean_thickness": 1.684, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5263, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 0, 1 ], "facing": "↙", "response_ms": 3320, "was_retry": false, "was_random": false, "note": "Moved ↙ from [1,0] to [0,1], completing the final target edge (1,0)-(0,1). This should reduce W from 1 to 0, achieving victory. If W≠0 next turn, reassess map for any remaining targets.", "thickness_map": { "(0,0)-(1,0)": 3, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 54, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7107, "blue_efficiency": 0.2429, "S": 20, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 98.92, "edges_at_risk": 11, "mean_thickness": 1.65, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.55, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 21, "position": [ -1, 1 ], "facing": "←", "response_ms": 4525, "was_retry": false, "was_random": false, "note": "W=1 means (1,0)-(0,1) is NOT completed. From [0,1] facing ↙, move ← to [-1,1] is GREY (new edge), then must navigate back to complete (1,0)-(0,1). Better: ↑ to [0,0] then → to [1,0] then ↙ to [0,1] wo", "thickness_map": { "(0,0)-(1,0)": 3, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.4 }, { "step": 55, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7121, "blue_efficiency": 0.2411, "S": 21, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.92, "edges_at_risk": 12, "mean_thickness": 1.619, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 0, 0 ], "facing": "↗", "response_ms": 3504, "was_retry": false, "was_random": false, "note": "From [-1,1] facing ←, moved ↗ to [0,0] (BLUE). Next turn from [0,0], must move → to [1,0], then from [1,0] move ↙ to [0,1] to complete target edge (1,0)-(0,1) and reduce W to 0.", "thickness_map": { "(0,0)-(1,0)": 3, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 56, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 4, "B_blue": 1, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7136, "blue_efficiency": 0.2394, "S": 21, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 98.91, "edges_at_risk": 12, "mean_thickness": 1.667, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 1, 0 ], "facing": "→", "response_ms": 2960, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↗, moved → to [1,0] (BLUE, adds thickness). Next turn from [1,0] must move ↙ to [0,1] to complete the target edge (1,0)-(0,1) and reduce W to 0.", "thickness_map": { "(0,0)-(1,0)": 4, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 57, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.715, "blue_efficiency": 0.2378, "S": 21, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.91, "edges_at_risk": 12, "mean_thickness": 1.714, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 1 ], "facing": "↘", "response_ms": 3850, "was_retry": false, "was_random": false, "note": "Moved ↘ from [1,0] to [2,1] as BLUE. This does NOT complete the target edge (1,0)-(0,1). From [2,1] facing ↘, must navigate back: move ← to [1,0], then ↙ to [0,1] to complete the target and reduce W t", "thickness_map": { "(0,0)-(1,0)": 4, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 58, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7164, "blue_efficiency": 0.2361, "S": 22, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.9, "edges_at_risk": 13, "mean_thickness": 1.682, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5909, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 1, 1 ], "facing": "←", "response_ms": 2347, "was_retry": false, "was_random": false, "note": "From [2,1] moved ← to [1,1] (BLUE, adds thickness). Next turn from [1,1] facing ←, must move ↙ to [0,1] to complete target edge (1,0)-(0,1) and reduce W to 0.", "thickness_map": { "(0,0)-(1,0)": 4, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 59, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7178, "blue_efficiency": 0.2345, "S": 22, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98.89, "edges_at_risk": 12, "mean_thickness": 1.727, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 0, 0 ], "facing": "↖", "response_ms": 2795, "was_retry": false, "was_random": false, "note": "From [1,1] moved ↖ to [0,0] (BLUE, adds thickness to existing edge). This does NOT complete target (1,0)-(0,1). From [0,0] facing ↖, must move → to [1,0], then ↙ to [0,1] to finally complete the last ", "thickness_map": { "(0,0)-(1,0)": 4, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 60, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7192, "blue_efficiency": 0.2329, "S": 22, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 98.89, "edges_at_risk": 12, "mean_thickness": 1.773, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 1, 0 ], "facing": "→", "response_ms": 2710, "was_retry": false, "was_random": false, "note": "Moved → from [0,0] to [1,0] as BLUE (adds thickness to existing edge). From [1,0] facing →, next move MUST be ↓ to [0,1] to complete the TARGET edge (1,0)-(0,1) and reduce W to 0, winning the game.", "thickness_map": { "(0,0)-(1,0)": 5, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 61, "level": 4, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7206, "blue_efficiency": 0.2381, "S": 23, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 98.88, "edges_at_risk": 13, "mean_thickness": 1.739, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5652, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(0,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 0, 1 ], "facing": "↙", "response_ms": 2383, "was_retry": false, "was_random": false, "note": "From [1,0] moved ↙ to [0,1] as BLUE, completing the target edge (1,0)-(0,1). This reduces W from 1 to 0, winning the game.", "thickness_map": { "(0,0)-(1,0)": 5, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1, "(0,0)-(1,-1)": 3, "(1,-1)-(2,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 2, "(1,-1)-(1,0)": 2, "(2,-1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(1,1)-(1,0)": 3, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(0,1)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 61, "event": "LEVEL_COMPLETE", "completed_level": 4, "new_level": 5, "cumulative_blue_at_transition": 147, "cumulative_total_at_transition": 204, "cumulative_w_reductions": 35 }, { "step": 4, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 0.722, "blue_efficiency": 0.2365, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 98.88, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 2873, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] completes edge (3,0)-(2,1) reducing W to 2. Next: continue toward (2,0) to complete (2,0)-(2,1), then work west to finish remaining targets.", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 0.7233, "blue_efficiency": 0.2349, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 98.88, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "↑", "response_ms": 2251, "was_retry": false, "was_random": false, "note": "Moving ↑ to [2,0] completes edge (2,1)-(2,0), reducing W to 2. From [2,0], move ← to complete (2,0)-(1,0), then continue west to finish all targets efficiently.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -1.0, "blue_ratio_cum": 0.7198, "blue_efficiency": 0.2349, "S": 2, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 98.88, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "←", "response_ms": 2840, "was_retry": false, "was_random": false, "note": "Moving ← to [1,0] completes target edge (2,0)-(1,0), reducing W to 2. From [1,0], move ← again to complete (1,0)-(0,0), then → to complete final target (0,0)-(1,0) for W=0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.75, "blue_ratio_cum": 0.7163, "blue_efficiency": 0.2349, "S": 2, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 98.88, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 0, 0 ], "facing": "←", "response_ms": 2819, "was_retry": false, "was_random": false, "note": "From [0,0], move → to complete (0,0)-(1,0), then continue → to complete (1,0)-(2,0), then → again to complete (2,0)-(3,0) and reach W=0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "step": 8, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.8, "blue_ratio_cum": 0.7129, "blue_efficiency": 0.2349, "S": 2, "arrow": "←", "is_blue": false, "first_pass_valid": false, "bite_in": 26, "oxygen_pct": 98.88, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(-1,0)" ], "total_edges": 6, "position": [ -1, 0 ], "facing": "←", "response_ms": 3735, "was_retry": true, "was_random": true, "note": "(random fallback)", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.6667, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.2333, "S": 3, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.87, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(-1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ -1, 1 ], "facing": "↓", "response_ms": 3808, "was_retry": false, "was_random": false, "note": "At [-1,0] facing ←, move ↓ to [−1,1] completes edge (−1,0)-(−1,1), then move → to [0,1] to reach target (0,0)-(−1,0) via ↖, reducing W toward 0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 10, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.5714, "epsilon_total": 0.5714, "rho_minus_epsilon": -0.5714, "blue_ratio_cum": 0.7156, "blue_efficiency": 0.2318, "S": 4, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.86, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 2.38, "d_max": 4, "cost_access": 1, "nearest_edge": "(0,0)-(-1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 0, 0 ], "facing": "↗", "response_ms": 3401, "was_retry": false, "was_random": false, "note": "At [-1,1] facing ↓, moved ↗ to [0,0]. From [0,0], move → three times consecutively to complete all three horizontal targets: (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0), reducing W from 4 to 1 to 0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 11, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7123, "blue_efficiency": 0.2318, "S": 4, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 98.86, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 0 ], "facing": "→", "response_ms": 3374, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↗, move → to [1,0] completes target (0,0)-(1,0) [W=3], then continue → to [2,0] completing (1,0)-(2,0) [W=2], then → to [3,0] completing (2,0)-(3,0) [W=1], then return via ← to complet", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 12, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4444, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.4444, "blue_ratio_cum": 0.7089, "blue_efficiency": 0.2318, "S": 4, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.85, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "→", "response_ms": 2495, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, move → to [2,0] completes target (1,0)-(2,0) [W=3]. Then continue → to [3,0] to complete (2,0)-(3,0) [W=2]. Then must navigate back to complete final target (0,0)-(-1,0).", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 13, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7056, "blue_efficiency": 0.2318, "S": 4, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.85, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 3, 0 ], "facing": "→", "response_ms": 2904, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, move → to [3,0] completes target (2,0)-(3,0) [W=3→2]. Then must navigate back: from [3,0] move ← to [2,0], then ← to [1,0], then ← to [0,0], then ← to [-1,0] completes final target ", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.707, "blue_efficiency": 0.2303, "S": 4, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.84, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3655, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, move ↙ to [2,1] (already DONE, thickness stays 1). From [2,1], move ↙ to [2,0] (already DONE), then ↙ to [1,0] to complete target (1,0)-(2,0), then ↙ to [0,0] to complete target (0,", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1 }, "target_stability": 0.8 }, { "step": 15, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 4, "B_blue": 0, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7083, "blue_efficiency": 0.2288, "S": 5, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 98.83, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 4, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3379, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↙, move ↖ to [1,0] completes target (1,0)-(2,0) [W=4→3]. From [1,0], move ← to [0,0] completes target (0,0)-(1,0) [W=3→2], then ← to [-1,0] completes target (0,0)-(-1,0) [W=2→1], then ", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7051, "blue_efficiency": 0.2288, "S": 5, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.83, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 0, 0 ], "facing": "←", "response_ms": 3727, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, move ← to [0,0] completes target (0,0)-(1,0) [W=4→3]. From [0,0], move ← to [-1,0] completes target (0,0)-(-1,0) [W=3→2]. Then return via → → to reach targets (1,0)-(2,0) and (2,0)-", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 17, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7018, "blue_efficiency": 0.2288, "S": 5, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 98.82, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ -1, 0 ], "facing": "←", "response_ms": 3351, "was_retry": false, "was_random": false, "note": "At [0,0] facing ←, moved ← to [-1,0] completing target (0,0)-(-1,0) [W=4→3]. From [-1,0], move → to [0,0] then → to [1,0] to complete target (0,0)-(1,0), then → to [2,0] to complete (1,0)-(2,0), then ", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 18, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7032, "blue_efficiency": 0.2273, "S": 6, "arrow": "↘", "is_blue": true, "first_pass_valid": false, "bite_in": 16, "oxygen_pct": 98.82, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(-1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 0, 1 ], "facing": "↘", "response_ms": 3055, "was_retry": true, "was_random": false, "note": "At [-1,0] facing ←, move ↘ to [0,1] (grey, creates new edge). Then move ↙ to [0,0] (blue) completing target (0,0)-(-1,0) is already done. Replan: from [0,1] move ↙ to [0,0], then → to [1,0] completing", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1, "(-1,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 19, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7045, "blue_efficiency": 0.2258, "S": 7, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.81, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 1, "d_mean": 1.5, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "↗", "response_ms": 3131, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↗, move → to [2,0] completing target (1,0)-(2,0) [W=4→3], then → to [3,0] completing target (2,0)-(3,0) [W=3→2], then work back to complete (0,0)-(1,0) and (0,0)-(-1,0).", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7014, "blue_efficiency": 0.2258, "S": 7, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.8, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 0 ], "facing": "→", "response_ms": 2224, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, move → to [3,0] completing target (2,0)-(3,0) [W=3→2]. Then navigate back to complete remaining targets (0,0)-(1,0) and (0,0)-(-1,0).", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6982, "blue_efficiency": 0.2258, "S": 7, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 98.8, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 3, 0 ], "facing": "→", "response_ms": 3124, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, must navigate back to complete (0,0)-(1,0) and (0,0)-(-1,0). Move ↙ to [2,0] (grey), then ↙ to [1,0] (blue on existing), then ↙ to [0,0] (blue), then complete both remaining targets", "thickness_map": { "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 22, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6996, "blue_efficiency": 0.2244, "S": 7, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.79, "edges_at_risk": 6, "mean_thickness": 1.286, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3761, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↙ to [2,1] (existing edge, adds thickness). Next: from [2,1] move ↙ to [1,0], then ↙ to [0,0] to reach the hub where all 4 remaining targets connect. Complete (0,0)-(1,0) and ", "thickness_map": { "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 23, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7009, "blue_efficiency": 0.2229, "S": 7, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 98.79, "edges_at_risk": 5, "mean_thickness": 1.429, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2861, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↙, moved ↖ to [1,0] (BLUE on existing edge, adds thickness). From [1,0] next move ↙ to [0,0] (BLUE completing target (0,0)-(1,0), W=4→3). Then from [0,0] complete remaining 3 targets.", "thickness_map": { "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 24, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 3, "B_grey": 2, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7022, "blue_efficiency": 0.2278, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.78, "edges_at_risk": 6, "mean_thickness": 1.375, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 0 ], "facing": "→", "response_ms": 2905, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, moved → to [2,0] (BLUE completing target (1,0)-(2,0), W=4→3). From [2,0] move → to [3,0] (BLUE completing target (2,0)-(3,0), W=3→2). Then navigate back to [0,0] to complete final t", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 25, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7035, "blue_efficiency": 0.2264, "S": 8, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.77, "edges_at_risk": 5, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 1 ], "facing": "↓", "response_ms": 3510, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved ↓ to [2,1] (BLUE on existing edge, adds thickness). From [2,1] move ↙ to [1,0], then ↙ to [0,0] (BLUE completing target (0,0)-(1,0), W=3→2), then ↙ to [-1,0] (BLUE completing ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 26, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7048, "blue_efficiency": 0.225, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98.77, "edges_at_risk": 5, "mean_thickness": 1.625, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 1, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3202, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↓, moved ↖ to [1,0] (BLUE on existing edge, adds thickness=3). From [1,0] move ↙ to [0,0] (BLUE completing target (0,0)-(1,0), W=3→2), then ↙ to [-1,0] (BLUE completing target (0,0)-(-", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 27, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 4, "B_blue": 1, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7061, "blue_efficiency": 0.2236, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 98.76, "edges_at_risk": 4, "mean_thickness": 1.75, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 0 ], "facing": "→", "response_ms": 2539, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, moved → to [2,0] (BLUE completing target (1,0)-(2,0), W=3→2). From [2,0] must move → to [3,0] (BLUE completing target (2,0)-(3,0), W=2→1). Then navigate to complete remaining target", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 28, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7031, "blue_efficiency": 0.2236, "S": 8, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 98.76, "edges_at_risk": 4, "mean_thickness": 1.75, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 3, 0 ], "facing": "→", "response_ms": 3089, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, move ↙ to [2,0] (GREY on existing edge), then ↙ to [1,0] (GREY), then ↙ to [0,0] (BLUE completing target (0,0)-(1,0), W=2→1), then ↙ to [-1,0] (BLUE completing target (0,0)-(-1,0), ", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 3, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 29, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7043, "blue_efficiency": 0.2222, "S": 8, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 98.75, "edges_at_risk": 4, "mean_thickness": 1.875, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 2.17, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 1 ], "facing": "↙", "response_ms": 2119, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↙, move ↙ to [1,0] (GREY on existing edge), then ↙ to [0,0] (BLUE completing target (0,0)-(1,0), W=2→1), then ↙ to [-1,0] (BLUE completing target (0,0)-(-1,0), W=1→0).", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 30, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7056, "blue_efficiency": 0.2209, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 98.74, "edges_at_risk": 4, "mean_thickness": 2, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3606, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, move ↙ to [0,0] (BLUE completing target (0,0)-(1,0), W=3→2), then ↙ to [-1,0] (BLUE completing target (0,0)-(-1,0), W=2→1), then → to [0,0] (GREY), then ↗ to [1,0] (GREY), then → to", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 31, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7026, "blue_efficiency": 0.2209, "S": 7, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 98.74, "edges_at_risk": 3, "mean_thickness": 2.143, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.4286, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(0,1)-(1,0)" ], "new_targets_created": [], "total_edges": 11, "position": [ 0, 1 ], "facing": "↙", "response_ms": 3047, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, move ↙ to [0,0] [GREY] to position for completing target (0,0)-(1,0). Then ↙ to [-1,0] [BLUE] completes target (0,0)-(-1,0), reducing W=3→2. This path minimizes new edge creation wh", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 32, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7039, "blue_efficiency": 0.2195, "S": 8, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 98.73, "edges_at_risk": 4, "mean_thickness": 2, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,1)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 2 ], "facing": "↓", "response_ms": 3385, "was_retry": false, "was_random": false, "note": "At [0,1] facing ↙, move ↓ to [0,2] [BLUE] (new edge but moving away from targets). Better: move ↑ to [0,0] [GREY] on existing edge to position for ↘ to [1,0] [BLUE] completing target (0,1)-(1,0), redu", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(0,2)": 1 }, "target_stability": 0.6 }, { "step": 33, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7051, "blue_efficiency": 0.2182, "S": 9, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 98.73, "edges_at_risk": 5, "mean_thickness": 1.889, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5556, "d_min": 1, "d_mean": 2.12, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 1 ], "facing": "↗", "response_ms": 2886, "was_retry": false, "was_random": false, "note": "At [0,2] facing ↓, move ↗ to [1,1] [BLUE] creates new edge. Must then move ↙ to [1,0] [GREY] on existing edge, then ↘ to [2,0] [BLUE] completing target (1,0)-(2,0), reducing W=4→3.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 34, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7064, "blue_efficiency": 0.2169, "S": 10, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 98.72, "edges_at_risk": 7, "mean_thickness": 1.7, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 1, "d_mean": 1.62, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 0 ], "facing": "↖", "response_ms": 3654, "was_retry": false, "was_random": false, "note": "At [1,1] facing ↗, move ↖ to [0,0] [BLUE] to position for next move ↘ to [1,0] [BLUE] completing target (0,1)-(1,0), reducing W=4→3. This uses existing edges only.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 35, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7076, "blue_efficiency": 0.2156, "S": 11, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 98.71, "edges_at_risk": 8, "mean_thickness": 1.636, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 1.12, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 1 ], "facing": "↓", "response_ms": 2654, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↖, moved ↓ to [0,1] [BLUE] completing target (0,1)-(0,0), reducing W from 4→3. Next: move ↘ to [1,0] [BLUE] completing target (0,1)-(1,0), reducing W to 2.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 36, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7089, "blue_efficiency": 0.2202, "S": 12, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 98.71, "edges_at_risk": 9, "mean_thickness": 1.583, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,1)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(0,1)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 0 ], "facing": "↗", "response_ms": 3744, "was_retry": false, "was_random": false, "note": "At [0,1] facing ↓, move ↗ to [1,0] [BLUE] completes target (0,1)-(1,0), reducing W=4→3. Next: move ↘ to [2,0] [BLUE] completes target (1,0)-(2,0), reducing W to 2.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 37, "level": 5, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7101, "blue_efficiency": 0.2249, "S": 13, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 98.7, "edges_at_risk": 10, "mean_thickness": 1.538, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 0 ], "facing": "←", "response_ms": 2697, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↗, move ← to [0,0] [BLUE] completes target (0,0)-(1,0), reducing W=3→2. Next: move ← to [-1,0] [BLUE] completes target (0,0)-(-1,0), reducing W to 1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 38, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7071, "blue_efficiency": 0.2249, "S": 13, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 98.7, "edges_at_risk": 10, "mean_thickness": 1.538, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(-1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ -1, 0 ], "facing": "←", "response_ms": 3117, "was_retry": false, "was_random": false, "note": "At [0,0] facing ←, move ← to [-1,0] [GREY] to reach target (0,0)-(-1,0). Next: move → to [0,0] [BLUE] completes target (-1,0)-(0,0), reducing W from 2→1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(1,0)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 39, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7083, "blue_efficiency": 0.2235, "S": 13, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 98.69, "edges_at_risk": 9, "mean_thickness": 1.615, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6923, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(-1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 1 ], "facing": "↘", "response_ms": 2992, "was_retry": false, "was_random": false, "note": "At [-1,0] facing ←, move ↘ to [0,1] [BLUE] completes target (0,0)-(-1,0), reducing W=2→1. Next: navigate to complete final target (2,0)-(3,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 1, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 40, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7095, "blue_efficiency": 0.2222, "S": 13, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.69, "edges_at_risk": 8, "mean_thickness": 1.692, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 1, "d_mean": 1.75, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(-1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 0 ], "facing": "↗", "response_ms": 4291, "was_retry": false, "was_random": false, "note": "At [0,1] facing ↘, move ↗ to [1,0] [BLUE] adds thickness to existing edge. Next: move → to [2,0] [BLUE] then ↗ to [3,0] [BLUE] completes final target (2,0)-(3,0), reducing W=2→0 to win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 41, "level": 5, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7066, "blue_efficiency": 0.2222, "S": 12, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.68, "edges_at_risk": 7, "mean_thickness": 1.75, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 15, "position": [ 2, 0 ], "facing": "→", "response_ms": 3048, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↗, moved → to [2,0] [GREY] to position for final target. Next: from [2,0] move → to [3,0] [BLUE] completes target (2,0)-(3,0), reducing W from 2→1.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 42, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7037, "blue_efficiency": 0.2222, "S": 12, "arrow": "↖", "is_blue": false, "first_pass_valid": false, "bite_in": 23, "oxygen_pct": 98.67, "edges_at_risk": 7, "mean_thickness": 1.75, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 1.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,0)-(1,-1)" ], "total_edges": 16, "position": [ 1, -1 ], "facing": "↖", "response_ms": 2868, "was_retry": true, "was_random": true, "note": "(random fallback)", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 43, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7049, "blue_efficiency": 0.2209, "S": 13, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.67, "edges_at_risk": 8, "mean_thickness": 1.692, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 0, "d_mean": 1.12, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 1, 0 ], "facing": "↓", "response_ms": 3708, "was_retry": false, "was_random": false, "note": "At [1,-1] facing ↖, move ↓ to [1,0] [BLUE] completes target (1,0)-(2,0) by moving from current [1,-1] to [1,0], then next move → to [2,0] [BLUE] to complete (2,0)-(3,0) or ↙ to [0,0] [BLUE] to complet", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 44, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7061, "blue_efficiency": 0.2254, "S": 14, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.66, "edges_at_risk": 9, "mean_thickness": 1.643, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 1.12, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 2, 0 ], "facing": "→", "response_ms": 4709, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↓, moved → to [2,0] [BLUE] completing target (1,0)-(2,0), W:4→3. From [2,0] facing →, next move must be → to [3,0] [BLUE] to complete target (2,0)-(3,0), reducing W to 2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 45, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7033, "blue_efficiency": 0.2254, "S": 14, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.66, "edges_at_risk": 9, "mean_thickness": 1.643, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 1.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 3, 0 ], "facing": "→", "response_ms": 3211, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, must move ↙ to [2,0] [GREY] then ↙ to [1,-1] [BLUE] to complete target (2,0)-(1,-1), reducing W to 2. Then reposition to complete remaining targets (0,0)-(-1,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 46, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7045, "blue_efficiency": 0.2241, "S": 15, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 98.65, "edges_at_risk": 10, "mean_thickness": 1.6, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.83, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 2, -1 ], "facing": "↖", "response_ms": 3524, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↖ to [2,-1] [BLUE] creating new edge. From [2,-1], must move ↙ to [1,-1] [BLUE] to complete target (2,0)-(1,-1), reducing W:3→2. Then navigate to complete (0,0)-(-1,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1, "(3,0)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 47, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7056, "blue_efficiency": 0.2229, "S": 16, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.64, "edges_at_risk": 11, "mean_thickness": 1.562, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6875, "d_min": 1, "d_mean": 1.67, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 19, "position": [ 2, 0 ], "facing": "↓", "response_ms": 3354, "was_retry": false, "was_random": false, "note": "At [2,-1] facing ↖, moved ↓ to [2,0] [BLUE] completing target (2,0)-(1,-1) via (2,-1)-(2,0)-(1,-1) path. W:3→2. From [2,0] facing ↓, next move must be → to [3,0] [BLUE] to complete target (2,0)-(3,0),", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 48, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7068, "blue_efficiency": 0.2216, "S": 17, "arrow": "↘", "is_blue": true, "first_pass_valid": false, "bite_in": 17, "oxygen_pct": 98.64, "edges_at_risk": 12, "mean_thickness": 1.529, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7059, "d_min": 0, "d_mean": 1.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 3, 1 ], "facing": "↘", "response_ms": 3747, "was_retry": true, "was_random": false, "note": "At [2,0] facing ↓, moved ↘ to [3,0] [BLUE] completing target (2,0)-(3,0), reducing W:3→2. From [3,0], must navigate to complete (2,0)-(1,-1) then (0,0)-(-1,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 49, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.704, "blue_efficiency": 0.2216, "S": 17, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 98.63, "edges_at_risk": 12, "mean_thickness": 1.529, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7059, "d_min": 1, "d_mean": 2.5, "d_max": 4, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(3,1)-(3,2)" ], "total_edges": 21, "position": [ 3, 2 ], "facing": "↓", "response_ms": 3021, "was_retry": false, "was_random": false, "note": "At [3,1] facing ↘, move ↓ to [3,2] [GREY] to reposition. From [3,2], must navigate towards target (2,0)-(1,-1) to reduce W:3→2, then complete final target (0,0)-(-1,0) to win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.2 }, { "step": 50, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7052, "blue_efficiency": 0.2203, "S": 18, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.63, "edges_at_risk": 13, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7222, "d_min": 0, "d_mean": 2.62, "d_max": 4, "cost_access": 0, "nearest_edge": "(3,1)-(3,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 1 ], "facing": "↖", "response_ms": 3215, "was_retry": false, "was_random": false, "note": "At [3,2] facing ↓, moved ↖ to [2,1] [BLUE] completing target (3,1)-(3,2), reducing W:4→3. From [2,1] facing ↖, must move ↙ to [1,0] then ↙ to [1,-1] [BLUE] to complete target (2,0)-(1,-1), reducing W:", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 51, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7024, "blue_efficiency": 0.2203, "S": 18, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.62, "edges_at_risk": 13, "mean_thickness": 1.444, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7222, "d_min": 1, "d_mean": 1.62, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2475, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↖, moved ↖ to [1,0] [GREY] repositioning. From [1,0], must move ↙ to [1,-1] [BLUE] to complete target (2,0)-(1,-1), reducing W from 4 to 3.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 52, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7036, "blue_efficiency": 0.2191, "S": 18, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 98.61, "edges_at_risk": 12, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.62, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 1, -1 ], "facing": "↑", "response_ms": 3447, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, moved ↑ to [1,-1] [BLUE] completing target (2,0)-(1,-1), reducing W:4→3. From [1,-1], must navigate to complete targets (2,0)-(3,0), (0,0)-(-1,0), and (3,1)-(3,2) in that order to w", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 53, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7047, "blue_efficiency": 0.2235, "S": 19, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.61, "edges_at_risk": 13, "mean_thickness": 1.474, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 0, "d_mean": 1.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(1,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(2,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 2, 0 ], "facing": "↘", "response_ms": 4600, "was_retry": false, "was_random": false, "note": "At [1,-1] facing ↑, moved ↘ to [2,0] [BLUE] completing target (2,0)-(1,-1). Wait, that target shows as already done. Current W:4 means 4 targets remain: (2,0)-(3,0), (0,0)-(-1,0), (2,0)-(1,-1), (3,1)-", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 54, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.702, "blue_efficiency": 0.2235, "S": 19, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 98.6, "edges_at_risk": 13, "mean_thickness": 1.474, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 0, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ 3, 0 ], "facing": "→", "response_ms": 3396, "was_retry": false, "was_random": false, "note": "At [2,0] facing ↘, moved → to [3,0] [GREY] - this does NOT complete target (2,0)-(3,0) because it's grey. W remains 3. From [3,0] facing →, must move ↙ to [2,0] [BLUE] to complete target (2,0)-(3,0) a", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 55, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6992, "blue_efficiency": 0.2235, "S": 19, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.6, "edges_at_risk": 13, "mean_thickness": 1.474, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 0, "d_mean": 1.83, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(3,0)-(3,1)" ], "total_edges": 23, "position": [ 3, 1 ], "facing": "↓", "response_ms": 3101, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↓ to [3,1] [GREY] to position for completing target (3,1)-(3,2). From [3,1], must move ↑ to [3,2] [BLUE] to complete this target and reduce W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 56, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6965, "blue_efficiency": 0.2235, "S": 19, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.59, "edges_at_risk": 13, "mean_thickness": 1.474, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 0, "d_mean": 1.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(3,1)-(3,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 3, 2 ], "facing": "↓", "response_ms": 3847, "was_retry": false, "was_random": false, "note": "At [3,1] facing ↓, moved ↓ to [3,2] [GREY]. This does NOT complete target (3,1)-(3,2) because move is grey. W:4 remains. Currently 4 targets: (2,0)-(3,0), (0,0)-(-1,0), (3,1)-(3,2), (3,0)-(3,1). From ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 57, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6977, "blue_efficiency": 0.2222, "S": 19, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98.58, "edges_at_risk": 12, "mean_thickness": 1.526, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6316, "d_min": 0, "d_mean": 2.12, "d_max": 4, "cost_access": 0, "nearest_edge": "(3,1)-(3,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 2, 1 ], "facing": "↖", "response_ms": 4085, "was_retry": false, "was_random": false, "note": "At [3,2] facing ↓, moved ↖ to [2,1] [BLUE] - this completes edge (3,2)-(2,1) which was already DONE, adding thickness. Does NOT reduce W:4. From [2,1] facing ↖, must move ↘ to [3,2] [BLUE] to complete", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 2 }, "target_stability": 0.6 }, { "step": 58, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6988, "blue_efficiency": 0.221, "S": 20, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 98.58, "edges_at_risk": 13, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.65, "d_min": 1, "d_mean": 1.5, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 24, "position": [ 3, 1 ], "facing": "→", "response_ms": 2906, "was_retry": false, "was_random": false, "note": "At [2,1] facing ↖, moved → to [3,1] [BLUE] completing target (3,0)-(3,1), reducing W:4→3. From [3,1] facing →, must move ↑ to [3,2] [BLUE] to complete target (3,1)-(3,2) reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 59, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 2, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7, "blue_efficiency": 0.2253, "S": 21, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 98.57, "edges_at_risk": 14, "mean_thickness": 1.476, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(3,1)-(3,2)", "target_switch": true, "B_at_switch": 5, "newly_colored": [ "(3,1)-(3,2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 24, "position": [ 3, 2 ], "facing": "↓", "response_ms": 3329, "was_retry": false, "was_random": false, "note": "At [3,1] facing →, moved ↓ to [3,2] [BLUE] completing target (3,1)-(3,2), reducing W:4→3. From [3,2] facing ↓, must move ↖ to [2,0] to position for target (2,0)-(3,0), then ↗ [BLUE] to complete it red", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 60, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7011, "blue_efficiency": 0.224, "S": 22, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 98.57, "edges_at_risk": 15, "mean_thickness": 1.455, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6818, "d_min": 1, "d_mean": 2.67, "d_max": 4, "cost_access": 0, "nearest_edge": "(3,0)-(3,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 25, "position": [ 2, 2 ], "facing": "←", "response_ms": 3468, "was_retry": false, "was_random": false, "note": "At [3,2] facing ↓, moved ← to [2,2] [BLUE]. From [2,2] facing ←, must move ↙ to [1,1] then ↙ to [1,0] then → to [2,0] then ↗ to [3,0] [BLUE] to complete target (2,0)-(3,0) reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1, "(3,2)-(2,2)": 1 }, "target_stability": 0.6 }, { "step": 61, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7023, "blue_efficiency": 0.2228, "S": 23, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 98.56, "edges_at_risk": 16, "mean_thickness": 1.435, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 1, "d_mean": 2.17, "d_max": 3, "cost_access": 1, "nearest_edge": "(3,0)-(3,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 26, "position": [ 1, 1 ], "facing": "↖", "response_ms": 3071, "was_retry": false, "was_random": false, "note": "At [2,2] facing ←, moved ↖ to [1,1] [BLUE]. From [1,1] facing ↖, must move ↓ to [1,0] then → to [2,0] then ↗ to [3,0] [BLUE] to complete target (2,0)-(3,0) reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 62, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7034, "blue_efficiency": 0.2216, "S": 24, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 98.55, "edges_at_risk": 17, "mean_thickness": 1.417, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7083, "d_min": 2, "d_mean": 2.0, "d_max": 2, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 0 ], "facing": "↑", "response_ms": 2455, "was_retry": false, "was_random": false, "note": "At [1,1] facing ↖, moved ↑ to [1,0] [BLUE]. From [1,0] facing ↑, must move → to [2,0] then ↗ to [3,0] [BLUE] to complete target (2,0)-(3,0) reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 63, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7045, "blue_efficiency": 0.2204, "S": 24, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 98.55, "edges_at_risk": 16, "mean_thickness": 1.458, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 0 ], "facing": "→", "response_ms": 2748, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↑, moved → to [2,0] [BLUE]. From [2,0] facing →, must move ↗ to [3,0] [BLUE] to complete target (2,0)-(3,0) reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 64, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7019, "blue_efficiency": 0.2204, "S": 24, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 98.54, "edges_at_risk": 16, "mean_thickness": 1.458, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 3, 0 ], "facing": "→", "response_ms": 3374, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved → to [3,0] [GREY]. From [3,0], must move ↘ to [3,1] [BLUE] to complete target (3,0)-(3,1) reducing W:3→2, then navigate to complete remaining targets at (0,0)-(-1,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(2,1)-(3,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 65, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 1, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.703, "blue_efficiency": 0.2193, "S": 24, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 98.54, "edges_at_risk": 16, "mean_thickness": 1.458, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(3,0)-(3,1)" ], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 27, "position": [ 3, 1 ], "facing": "↓", "response_ms": 3737, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↓ to [3,1] [BLUE] completing target (3,0)-(3,1), reducing W:3→2. From [3,1], must navigate west via grey moves through existing edges to reach (-1,0) area to complete target (", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 66, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7041, "blue_efficiency": 0.2181, "S": 24, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 98.53, "edges_at_risk": 15, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 1, "d_mean": 2.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 2, 1 ], "facing": "←", "response_ms": 3587, "was_retry": false, "was_random": false, "note": "At [3,1] facing ↓, moved ← to [2,1] [BLUE]. From [2,1] facing ←, must continue west via existing edges using grey moves to reach (0,0), then move to (-1,0) to complete target (0,0)-(-1,0) reducing W:3", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 3, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 67, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7052, "blue_efficiency": 0.2169, "S": 24, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 98.52, "edges_at_risk": 15, "mean_thickness": 1.542, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 1, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3413, "was_retry": false, "was_random": false, "note": "At [2,1] facing ←, moved ↖ to [1,0] [BLUE]. From [1,0] facing ↖, must move ↖ to (0,0) [GREY] through existing edge, then ← to (-1,0) [BLUE] to complete target (0,0)-(-1,0), reducing W:3→2.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 68, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7026, "blue_efficiency": 0.2169, "S": 24, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 98.52, "edges_at_risk": 15, "mean_thickness": 1.542, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,0)-(0,-1)" ], "total_edges": 28, "position": [ 0, -1 ], "facing": "↖", "response_ms": 2600, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↖, moved ↖ to [0,0] [GREY] via existing edge. From [0,0] facing ↖, must move ← to (-1,0) [BLUE] to complete target (0,0)-(-1,0), reducing W:3→2.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 69, "level": 5, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7, "blue_efficiency": 0.2169, "S": 24, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 98.51, "edges_at_risk": 15, "mean_thickness": 1.542, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.62, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,-1)-(-1,-1)" ], "total_edges": 29, "position": [ -1, -1 ], "facing": "←", "response_ms": 3327, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↖, moved ← to (-1,0) [GREY] completing target (0,0)-(-1,0), reducing W:4→3. From [-1,0] facing ←, must navigate to complete remaining 3 targets: (0,0)-(1,0), (2,0)-(3,0), (1,0)-(0,-1).", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 70, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7011, "blue_efficiency": 0.2158, "S": 25, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 98.51, "edges_at_risk": 16, "mean_thickness": 1.52, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.64, "d_min": 0, "d_mean": 1.6, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,-1)-(-1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 30, "position": [ 0, 0 ], "facing": "↘", "response_ms": 2805, "was_retry": false, "was_random": false, "note": "At [-1,-1] facing ←, moved ↘ to [0,0] [BLUE] to complete target (0,0)-(-1,0). From [0,0] facing ↘, must move → to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W from 5→4.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(-1,-1)-(0,0)": 1 }, "target_stability": 0.8 }, { "step": 71, "level": 5, "cycle": 1, "W": 4, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7022, "blue_efficiency": 0.2199, "S": 26, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.5, "edges_at_risk": 17, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6538, "d_min": 0, "d_mean": 1.1, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 30, "position": [ 1, 0 ], "facing": "→", "response_ms": 2626, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↘, moved → to [1,0] [BLUE] completing target (0,0)-(1,0), reducing W:5→4. From [1,0] facing →, must move ↓ to [0,-1] [BLUE] to complete target (1,0)-(0,-1), reducing W:4→3.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(-1,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 72, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7033, "blue_efficiency": 0.224, "S": 27, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.49, "edges_at_risk": 18, "mean_thickness": 1.481, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(0,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(0,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 30, "position": [ 0, -1 ], "facing": "↖", "response_ms": 2333, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, moved ↖ to [0,-1] [BLUE] completing target (1,0)-(0,-1), reducing W:4→3. From [0,-1] facing ↖, must move ↙ to [-1,-1] [BLUE] to complete target (0,-1)-(-1,-1), reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(-1,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 73, "level": 5, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.7044, "blue_efficiency": 0.228, "S": 28, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 98.49, "edges_at_risk": 19, "mean_thickness": 1.464, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6786, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,-1)-(-1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,-1)-(-1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 30, "position": [ -1, -1 ], "facing": "←", "response_ms": 2820, "was_retry": false, "was_random": false, "note": "At [0,-1] facing ↖, moved ← to [-1,-1] [BLUE] completing target (0,-1)-(-1,-1), reducing W:3→2. From [-1,-1] facing ←, must move ↑ to [-1,0] [BLUE] to complete target (-1,0)-(-1,-1), reducing W:2→1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 74, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.7055, "blue_efficiency": 0.2268, "S": 29, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.48, "edges_at_risk": 20, "mean_thickness": 1.448, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 1, "d_mean": 2.25, "d_max": 4, "cost_access": 1, "nearest_edge": "(0,0)-(-1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 31, "position": [ -1, 0 ], "facing": "↓", "response_ms": 3210, "was_retry": false, "was_random": false, "note": "At [-1,-1] facing ←, moved ↓ to [-1,0] [BLUE] completing target (0,0)-(-1,0), reducing W:2→1. From [-1,0] facing ↓, must move → to [0,0] [BLUE] then ↗ to [1,1] then ↘ to [2,0] then → to [3,0] [BLUE] t", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.8 }, { "step": 75, "level": 5, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7065, "blue_efficiency": 0.2308, "S": 30, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.48, "edges_at_risk": 21, "mean_thickness": 1.433, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(-1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(-1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 31, "position": [ 0, 0 ], "facing": "→", "response_ms": 3288, "was_retry": false, "was_random": false, "note": "At [-1,0] facing ↓, moved → to [0,0] [BLUE]. From [0,0] facing →, must move ↗ to [1,0] then ↘ to [2,0] then → to [3,0] [BLUE] to complete final target (2,0)-(3,0), reducing W:1→0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.8 }, { "step": 76, "level": 5, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.704, "blue_efficiency": 0.2308, "S": 29, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.47, "edges_at_risk": 20, "mean_thickness": 1.448, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 31, "position": [ 1, 0 ], "facing": "→", "response_ms": 2879, "was_retry": false, "was_random": false, "note": "At [0,0] facing →, moved → to [1,0] [GREY]. From [1,0] facing →, must move ↘ to [2,0] [BLUE] then → to [3,0] [BLUE] to complete final target (2,0)-(3,0), reducing W:1→0.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.8 }, { "step": 77, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7014, "blue_efficiency": 0.2308, "S": 29, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 98.46, "edges_at_risk": 21, "mean_thickness": 1.414, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7241, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 31, "position": [ 2, 0 ], "facing": "→", "response_ms": 2051, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, moved → to [2,0] [GREY]. From [2,0] facing →, must move → to [3,0] [BLUE] to complete final target (2,0)-(3,0), reducing W:2→1.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.8 }, { "step": 78, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6989, "blue_efficiency": 0.2308, "S": 29, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.46, "edges_at_risk": 21, "mean_thickness": 1.414, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7241, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 31, "position": [ 3, 0 ], "facing": "→", "response_ms": 2530, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved → to [3,0] [GREY] completing target (2,0)-(3,0), reducing W:2→1. From [3,0] facing →, must move ↙ to [2,0] then ↖ to [1,0] then ↖ to [0,0] then ← to complete final target (0,0", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.6 }, { "step": 79, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.7, "blue_efficiency": 0.2296, "S": 29, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 98.45, "edges_at_risk": 20, "mean_thickness": 1.448, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 31, "position": [ 2, -1 ], "facing": "↖", "response_ms": 2402, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↖ to [2,-1] [BLUE]. From [2,-1] facing ↖, must move ↖ to [1,-1] then ↖ to [0,0] then → to [1,0] [BLUE] to complete final target (0,0)-(1,0), reducing W:1→0.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.6 }, { "step": 80, "level": 5, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6975, "blue_efficiency": 0.2296, "S": 29, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 98.45, "edges_at_risk": 20, "mean_thickness": 1.448, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 1, "d_mean": 1.75, "d_max": 2, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,-1)-(1,-2)" ], "total_edges": 32, "position": [ 1, -2 ], "facing": "↖", "response_ms": 2626, "was_retry": false, "was_random": false, "note": "At [2,-1] facing ↖, moved ↖ to [1,-1] [BLUE]. From [1,-1] facing ↖, must move ↖ to [0,0] then → to [1,0] [BLUE] to complete final target (0,0)-(1,0), reducing W:1→0.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1 }, "target_stability": 0.4 }, { "step": 81, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6986, "blue_efficiency": 0.2284, "S": 30, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.44, "edges_at_risk": 21, "mean_thickness": 1.433, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,-1)-(1,-2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 33, "position": [ 1, -1 ], "facing": "↓", "response_ms": 2950, "was_retry": false, "was_random": false, "note": "At [1,-2] facing ↖, moved ↓ to [1,-1] [BLUE]. This completes target (2,-1)-(1,-2), reducing W:3→2. From [1,-1] facing ↓, must move ↖ to [0,0] then → to [1,0] to complete target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 82, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6961, "blue_efficiency": 0.2284, "S": 30, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.44, "edges_at_risk": 21, "mean_thickness": 1.433, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,-1)-(0,0)" ], "total_edges": 34, "position": [ 0, 0 ], "facing": "↙", "response_ms": 2686, "was_retry": false, "was_random": false, "note": "At [1,-1] facing ↓, moved ↙ to [0,0] [GREY]. From [0,0] facing ↙, must move → to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W from 3 to 2.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 83, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6937, "blue_efficiency": 0.2284, "S": 30, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 98.43, "edges_at_risk": 21, "mean_thickness": 1.433, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 0, "d_mean": 1.38, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ 1, 0 ], "facing": "→", "response_ms": 3355, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↙, moved → to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W:4→3. From [1,0] facing →, must move ↘ to [2,0] [BLUE] to complete target (2,0)-(3,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 84, "level": 5, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.2, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6912, "blue_efficiency": 0.2284, "S": 29, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.42, "edges_at_risk": 20, "mean_thickness": 1.448, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 34, "position": [ 2, 0 ], "facing": "→", "response_ms": 2623, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, moved → to [2,0] [GREY]. From [2,0] facing →, must move → to [3,0] [BLUE] to complete target (2,0)-(3,0), reducing W from 4 to 3.", "thickness_map": { "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 85, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.2, "epsilon_active": 0.2, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.6888, "blue_efficiency": 0.2284, "S": 29, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 98.42, "edges_at_risk": 20, "mean_thickness": 1.448, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 0, "d_mean": 1.1, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ 3, 0 ], "facing": "→", "response_ms": 2838, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved → to [3,0] [BLUE] completing target (2,0)-(3,0), reducing W:5→4. From [3,0] facing →, must move ↙ to [2,-1] [BLUE] to complete target (2,-1)-(1,-2).", "thickness_map": { "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 2, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 86, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6899, "blue_efficiency": 0.2273, "S": 29, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.41, "edges_at_risk": 20, "mean_thickness": 1.483, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 0, "d_mean": 1.9, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ 2, -1 ], "facing": "↖", "response_ms": 2750, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↖ to [2,-1] [BLUE] to complete target (2,-1)-(1,-2), reducing W:5→4. From [2,-1] facing ↖, must move ↙ to [1,-2] [BLUE] to complete the remaining portion of target (2,-1)-(1,-", "thickness_map": { "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.6 }, { "step": 87, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6875, "blue_efficiency": 0.2273, "S": 29, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.41, "edges_at_risk": 20, "mean_thickness": 1.483, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6897, "d_min": 0, "d_mean": 1.4, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,-1)-(1,-2)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ 1, -2 ], "facing": "↖", "response_ms": 3096, "was_retry": false, "was_random": false, "note": "At [2,-1] facing ↖, moved ↖ to [1,-2] [GREY] (already completed). From [1,-2] facing ↖, must move ↓ to [1,-1] [BLUE] to complete target (1,-1)-(0,0), reducing W from 5 to 4.", "thickness_map": { "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1 }, "target_stability": 0.8 }, { "step": 88, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6886, "blue_efficiency": 0.2261, "S": 30, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98.4, "edges_at_risk": 21, "mean_thickness": 1.467, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 0, "d_mean": 1.7, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,-1)-(1,-2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 35, "position": [ 0, -1 ], "facing": "↙", "response_ms": 2745, "was_retry": false, "was_random": false, "note": "At [1,-2] facing ↖, moved ↙ to [0,-1] [BLUE] completing edge (1,-2)-(0,-1). From [0,-1] facing ↙, must move → to [0,0] [BLUE] to complete target (1,-1)-(0,0), reducing W:5→4.", "thickness_map": { "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1 }, "target_stability": 0.8 }, { "step": 89, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6897, "blue_efficiency": 0.225, "S": 31, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 98.39, "edges_at_risk": 22, "mean_thickness": 1.452, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7097, "d_min": 1, "d_mean": 1.7, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 36, "position": [ 0, 0 ], "facing": "↓", "response_ms": 2747, "was_retry": false, "was_random": false, "note": "At [0,-1] facing ↙, moved ↓ to [0,0] [BLUE] to complete target (1,-1)-(0,0), reducing W:5→4. From [0,0] facing ↓, must move → to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W:4→3.", "thickness_map": { "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.8 }, { "step": 90, "level": 5, "cycle": 1, "W": 4, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6907, "blue_efficiency": 0.2289, "S": 32, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 98.39, "edges_at_risk": 23, "mean_thickness": 1.438, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7188, "d_min": 0, "d_mean": 1.4, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 36, "position": [ 1, 0 ], "facing": "→", "response_ms": 2422, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↓, moved → to [1,0] [BLUE] completing target (0,0)-(1,0), reducing W:5→4. From [1,0] facing →, must move → to [2,0] [BLUE] to complete target (1,0)-(2,0), reducing W:4→3.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 91, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6884, "blue_efficiency": 0.2289, "S": 32, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 98.38, "edges_at_risk": 23, "mean_thickness": 1.438, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7188, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 36, "position": [ 2, 0 ], "facing": "→", "response_ms": 2036, "was_retry": false, "was_random": false, "note": "At [1,0] facing →, moved → to [2,0] [BLUE] to complete target (1,0)-(2,0), reducing W:4→3. From [2,0] facing →, must move → to [3,0] [BLUE] to complete target (2,0)-(3,0), reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 92, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.686, "blue_efficiency": 0.2289, "S": 32, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 98.38, "edges_at_risk": 23, "mean_thickness": 1.438, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7188, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 36, "position": [ 3, 0 ], "facing": "→", "response_ms": 3070, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved → to [3,0] [GREY] (only grey available). From [3,0] facing →, must move ↙ to [2,0] [BLUE] to complete target (2,0)-(3,0), reducing W:4→3.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 3, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 93, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6871, "blue_efficiency": 0.2277, "S": 32, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 98.37, "edges_at_risk": 23, "mean_thickness": 1.469, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7188, "d_min": 0, "d_mean": 1.75, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 36, "position": [ 2, -1 ], "facing": "↖", "response_ms": 2487, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↖ to [2,-1] [BLUE] completing target (3,0)-(2,-1). From [2,-1] facing ↖, must move ↙ to [1,-2] [BLUE] to complete target (2,-1)-(1,-2), reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 4, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 94, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6881, "blue_efficiency": 0.2266, "S": 33, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 98.36, "edges_at_risk": 24, "mean_thickness": 1.455, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,-1)-(1,-2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, 0 ], "facing": "↙", "response_ms": 2842, "was_retry": false, "was_random": false, "note": "At [2,-1] facing ↖, moved ↙ to [1,-2] [GREY] (target edge already DONE). From [1,-2] facing ↙, must move ↗ to [2,-1] then ↓ to [2,0] [BLUE] to complete target (2,0)-(3,0), reducing W:4→3.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 4, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 95, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6892, "blue_efficiency": 0.2304, "S": 34, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 98.36, "edges_at_risk": 25, "mean_thickness": 1.441, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7353, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 2, 0 ], "facing": "→", "response_ms": 2536, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↙, moved → to [2,0] [BLUE] completing target (1,0)-(2,0), reducing W:4→3. From [2,0] facing →, must move → to [3,0] [BLUE] to complete target (2,0)-(3,0), reducing W:3→2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 4, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 96, "level": 5, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6869, "blue_efficiency": 0.2304, "S": 33, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 98.35, "edges_at_risk": 24, "mean_thickness": 1.455, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 37, "position": [ 3, 0 ], "facing": "→", "response_ms": 5477, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved → to [3,0] [GREY] (target already exists as DONE). W remains 3. From [3,0] facing →, must move ↖ to [2,-1] [BLUE] then ↙ to [1,-2] [BLUE] to complete target (2,-1)-(1,-2), red", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 4, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 97, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6879, "blue_efficiency": 0.2293, "S": 33, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 98.35, "edges_at_risk": 24, "mean_thickness": 1.485, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 2, -1 ], "facing": "↖", "response_ms": 2387, "was_retry": false, "was_random": false, "note": "At [3,0] facing →, moved ↖ to [2,-1] [BLUE] completing target (2,0)-(3,0), reducing W:4→3. From [2,-1] facing ↖, must move ↙ to [1,-2] [BLUE] to complete target (2,-1)-(1,-2), reducing W:3→2.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 98, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.689, "blue_efficiency": 0.2282, "S": 33, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 98.34, "edges_at_risk": 23, "mean_thickness": 1.515, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.697, "d_min": 0, "d_mean": 1.38, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,-1)-(1,-2)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, 0 ], "facing": "↙", "response_ms": 3193, "was_retry": false, "was_random": false, "note": "At [2,-1] facing ↖, moved ↙ to [1,0] [BLUE] (not the intended target). W remains 4. From [1,0] facing ↙, must move ← to [0,0] [BLUE] to complete target (1,-1)-(0,0), reducing W:4→3.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 2 }, "target_stability": 0.6 }, { "step": 99, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.69, "blue_efficiency": 0.2271, "S": 33, "arrow": "→", "is_blue": true, "first_pass_valid": false, "bite_in": 28, "oxygen_pct": 98.33, "edges_at_risk": 22, "mean_thickness": 1.545, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 2, 0 ], "facing": "→", "response_ms": 2895, "was_retry": true, "was_random": false, "note": "At [1,0] facing ↙, moved → to [2,0] [BLUE] completing target (0,0)-(1,0), reducing W:4→3. From [2,0] facing →, must move ↘ to [1,-1] [BLUE] to complete target (1,-1)-(0,0), reducing W:3→2.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 1, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 2 }, "target_stability": 0.8 }, { "step": 100, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 2, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.691, "blue_efficiency": 0.226, "S": 33, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 98.33, "edges_at_risk": 21, "mean_thickness": 1.576, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 0, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, -1 ], "facing": "↖", "response_ms": 3530, "was_retry": false, "was_random": false, "note": "At [2,0] facing →, moved ↖ to [1,-1] [BLUE] but this crosses edge (2,0)-(1,-1) which is already DONE thickness=1, not the target (1,-1)-(0,0). W likely unchanged. From [1,-1] facing ↖, must move ↙ to ", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 2, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 2 }, "target_stability": 0.6 }, { "step": 101, "level": 5, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6921, "blue_efficiency": 0.2297, "S": 34, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 98.32, "edges_at_risk": 22, "mean_thickness": 1.559, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6471, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,-1)-(0,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,-1)-(0,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 0, 0 ], "facing": "↙", "response_ms": 2451, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↙, must move → to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W:4→3.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 2, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 2 }, "target_stability": 0.8 }, { "step": 102, "level": 5, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6931, "blue_efficiency": 0.2333, "S": 35, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.32, "edges_at_risk": 23, "mean_thickness": 1.543, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6571, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 5, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, 0 ], "facing": "→", "response_ms": 3615, "was_retry": false, "was_random": false, "note": "At [0,0] facing ↙, moved → to [1,0] [BLUE] completing target (0,0)-(1,0), reducing W:3→2. From [1,0] facing →, must complete remaining targets: (2,0)-(3,0) and (2,-1)-(1,-2). Move ↘ to [2,0] to positi", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 2, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 2 }, "target_stability": 0.8 }, { "step": 103, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6941, "blue_efficiency": 0.2322, "S": 35, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.31, "edges_at_risk": 23, "mean_thickness": 1.571, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6571, "d_min": 1, "d_mean": 1.75, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 2, -1 ], "facing": "↗", "response_ms": 2723, "was_retry": false, "was_random": false, "note": "From [1,0] facing →, moved ↗ to [2,-1] [BLUE] to position toward target (2,-1)-(1,-2). From [2,-1] facing ↗, must move ↘ to [1,-2] [BLUE] to complete target (2,-1)-(1,-2), reducing W:2→1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 2, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(1,-2)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 3 }, "target_stability": 0.6 }, { "step": 104, "level": 5, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.6951, "blue_efficiency": 0.2358, "S": 36, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 98.3, "edges_at_risk": 24, "mean_thickness": 1.556, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,-1)-(1,-2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,-1)-(1,-2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, -2 ], "facing": "↖", "response_ms": 3290, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ↗, moved ↖ to [1,-2] [BLUE] completing target (2,-1)-(1,-2), reducing W:2→1. From [1,-2] facing ↖, must reach and complete final target (2,0)-(3,0). Navigate via existing edges to [", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 2, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(2,-1)-(1,-2)": 1, "(1,-2)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 3 }, "target_stability": 0.8 }, { "step": 105, "level": 5, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.6961, "blue_efficiency": 0.2347, "S": 36, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.3, "edges_at_risk": 23, "mean_thickness": 1.583, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6389, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, -1 ], "facing": "↓", "response_ms": 3040, "was_retry": false, "was_random": false, "note": "From [1,-2] facing ↖, moved ↓ to [1,-1] [BLUE] repositioning toward final target (2,0)-(3,0). From [1,-1] facing ↓, move ↗ to [2,0] to reach the target position, then → to [3,0] [BLUE] to complete W:1", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 2, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(2,-1)-(1,-2)": 1, "(1,-2)-(1,-1)": 2, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 3 }, "target_stability": 0.8 }, { "step": 106, "level": 5, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.6971, "blue_efficiency": 0.2336, "S": 36, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.29, "edges_at_risk": 23, "mean_thickness": 1.611, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6389, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 2, 0 ], "facing": "↘", "response_ms": 2489, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↓, moved ↘ to [2,0] [BLUE] reaching target edge. From [2,0] facing ↘, must move → to [3,0] [BLUE] to complete final target (2,0)-(3,0), reducing W:1→0 to win the game.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 3, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(2,-1)-(1,-2)": 1, "(1,-2)-(1,-1)": 2, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 3 }, "target_stability": 0.6 }, { "step": 107, "level": 5, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.4, "blue_ratio_cum": 0.6981, "blue_efficiency": 0.2372, "S": 37, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.29, "edges_at_risk": 24, "mean_thickness": 1.595, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6486, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 3, 0 ], "facing": "→", "response_ms": 2210, "was_retry": false, "was_random": false, "note": "Final winning move: completing target (2,0)-(3,0) reduces W:1→0. Victory achieved at step 107.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 4, "(2,1)-(2,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(-1,1)": 1, "(-1,1)-(0,0)": 1, "(2,1)-(1,0)": 4, "(-1,0)-(0,1)": 2, "(0,1)-(1,0)": 2, "(0,1)-(0,2)": 1, "(0,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(0,0)-(0,1)": 1, "(2,0)-(1,-1)": 3, "(1,-1)-(1,0)": 2, "(3,0)-(2,-1)": 5, "(2,-1)-(2,0)": 1, "(2,0)-(3,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,1)": 2, "(3,0)-(3,1)": 1, "(2,1)-(3,1)": 2, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(-1,-1)": 1, "(-1,-1)-(0,0)": 1, "(-1,-1)-(-1,0)": 1, "(2,-1)-(1,-2)": 1, "(1,-2)-(1,-1)": 2, "(1,-1)-(0,0)": 1, "(1,-2)-(0,-1)": 1, "(0,-1)-(0,0)": 1, "(2,-1)-(1,0)": 3 }, "target_stability": 0.4 }, { "step": 107, "event": "LEVEL_COMPLETE", "completed_level": 5, "new_level": 6, "cumulative_blue_at_transition": 215, "cumulative_total_at_transition": 308, "cumulative_w_reductions": 51 }, { "step": 4, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 0.699, "blue_efficiency": 0.2361, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 98.29, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 3115, "was_retry": false, "was_random": false, "note": "Moving to (2,1) to complete target (2,0)-(3,0). Next: continue toward (1,0) then (0,0) to reduce W systematically.", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 0.7, "blue_efficiency": 0.235, "S": 2, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 98.29, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "↖", "response_ms": 3096, "was_retry": false, "was_random": false, "note": "Moved to (1,0) completing target (2,0)-(3,0). W now 2. Next: move ← to complete (1,0)-(2,0), then ↖ to complete (0,0)-(1,0) to reach W=0.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 6, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.701, "blue_efficiency": 0.2385, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 98.29, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "→", "response_ms": 2639, "was_retry": false, "was_random": false, "note": "Moving → to (2,0) completes target (1,0)-(2,0), reducing W to 2. Next move must be → again to (3,0) to complete final target (2,0)-(3,0) and reach W=0.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7019, "blue_efficiency": 0.2374, "S": 4, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 98.29, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 3, 1 ], "facing": "↘", "response_ms": 3589, "was_retry": false, "was_random": false, "note": "Moving ↘ to (3,1) is GREY and creates new target—WRONG. Must move → to (3,0) [GREY] to position for completing (2,0)-(3,0). Then move ← back to complete that target and reach W=1.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 6, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.6, "blue_ratio_cum": 0.6997, "blue_efficiency": 0.2374, "S": 4, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.28, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(3,1)-(3,0)" ], "total_edges": 7, "position": [ 3, 0 ], "facing": "↑", "response_ms": 3301, "was_retry": false, "was_random": false, "note": "Moving ↑ to (3,0) positions me to complete target (2,0)-(3,0). Next move must be ← to (2,0) [BLUE] to complete that target, reducing W to 1. Then move ← again to (1,0) to complete final target (0,0)-(", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 9, "level": 6, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 0.6667, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.7006, "blue_efficiency": 0.2409, "S": 5, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.27, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, 0 ], "facing": "←", "response_ms": 2705, "was_retry": false, "was_random": false, "note": "Moving ← to (2,0) completes target (2,0)-(3,0), reducing W to 2. Next move must be ← again to (1,0) to complete target (0,0)-(1,0), reducing W to 1. Then move ↗ to (2,0) to complete target (3,1)-(3,0)", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 6, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2857, "epsilon_passive": 0.1429, "epsilon_active": 0.5714, "epsilon_total": 0.7143, "rho_minus_epsilon": -0.4286, "blue_ratio_cum": 0.6984, "blue_efficiency": 0.2409, "S": 4, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 98.27, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "←", "response_ms": 2991, "was_retry": false, "was_random": false, "note": "At (1,0), must move ↗ to (2,0) [GREY] then → to (3,0) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Then position to complete final target (0,0)-(1,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 11, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.125, "epsilon_active": 0.5, "epsilon_total": 0.625, "rho_minus_epsilon": -0.375, "blue_ratio_cum": 0.6962, "blue_efficiency": 0.2409, "S": 4, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.26, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 0, 0 ], "facing": "←", "response_ms": 2666, "was_retry": false, "was_random": false, "note": "Moving ← to (0,0) completes target (0,0)-(1,0), reducing W to 2. Next must move to complete target (1,0)-(2,0), then navigate to complete final target (3,1)-(3,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 12, "level": 6, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.1111, "epsilon_active": 0.5556, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.4444, "blue_ratio_cum": 0.694, "blue_efficiency": 0.2409, "S": 4, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.26, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,-1)" ], "total_edges": 8, "position": [ 1, -1 ], "facing": "↗", "response_ms": 2813, "was_retry": false, "was_random": false, "note": "From (0,0), moved ↗ to (1,0) [GREY] to reposition. Next must move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W to 2. Then navigate to complete final target (3,1)-(3,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 13, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.5, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.695, "blue_efficiency": 0.2398, "S": 5, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.25, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 0 ], "facing": "↓", "response_ms": 2891, "was_retry": false, "was_random": false, "note": "Moving ↓ to (1,0) completes target (0,0)-(1,-1) [BLUE], reducing W to 3. Next must complete target (1,0)-(2,0) by moving → from (1,0), then navigate to complete remaining targets (0,0)-(1,0) and (3,1)", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 6, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 4, "B_blue": 1, "B_grey": 3, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.6959, "blue_efficiency": 0.2432, "S": 6, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 98.24, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 4, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 0, 0 ], "facing": "←", "response_ms": 2325, "was_retry": false, "was_random": false, "note": "Moving ← to (0,0) completes target (0,0)-(1,0), reducing W to 3. Next must move → or ↘ to reach (2,0), then complete target (1,0)-(2,0) and finally navigate to complete (3,1)-(3,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 15, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.6969, "blue_efficiency": 0.2422, "S": 7, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.24, "edges_at_risk": 7, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ -1, -1 ], "facing": "↖", "response_ms": 3565, "was_retry": false, "was_random": false, "note": "Moving ↖ to (-1,-1) [BLUE] completes target (0,0)-(-1,1). From (-1,-1), must navigate grey moves to reach (1,0), then → to (2,0) [BLUE] to complete target (1,0)-(2,0), then reach (3,0) to complete fin", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(-1,-1)": 1 }, "target_stability": 0.4 }, { "step": 16, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6978, "blue_efficiency": 0.2411, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 98.23, "edges_at_risk": 8, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 2.67, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 0, -1 ], "facing": "→", "response_ms": 2983, "was_retry": false, "was_random": false, "note": "Moving → to (0,-1) [BLUE] reduces W. From (0,-1), move ↗ to (1,-1) [GREY], then ↗ to (2,0) [BLUE] completes target (1,0)-(2,0), reducing W to 2. Then navigate to complete remaining 2 targets.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1 }, "target_stability": 0.4 }, { "step": 17, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6988, "blue_efficiency": 0.24, "S": 9, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 98.23, "edges_at_risk": 9, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 2.17, "d_max": 4, "cost_access": 1, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "↘", "response_ms": 3135, "was_retry": false, "was_random": false, "note": "Moving ↘ to (1,0) [BLUE] completes target (0,0)-(1,-1), reducing W to 2. From (1,0), move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W to 1. Then navigate to (3,0) and move ↗ to comple", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 18, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6966, "blue_efficiency": 0.24, "S": 9, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.22, "edges_at_risk": 9, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 0 ], "facing": "→", "response_ms": 4166, "was_retry": false, "was_random": false, "note": "Moving → to (2,0) [GREY] completes target (1,0)-(2,0), reducing W to 2. From (2,0), move ↗ to (3,0) [GREY], then ↑ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Then move ↙ to (3,0)", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 19, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6975, "blue_efficiency": 0.2389, "S": 10, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.22, "edges_at_risk": 10, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, -1 ], "facing": "↖", "response_ms": 3199, "was_retry": false, "was_random": false, "note": "Moving ↖ to (1,-1) [BLUE] completes target (0,0)-(1,-1), reducing W to 2. From (1,-1), move ↗ to (2,0) [BLUE] completes target (1,0)-(2,0), reducing W to 1. Then navigate to (3,0) and move ↗ to (3,1) ", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6985, "blue_efficiency": 0.2379, "S": 10, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 98.21, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 0, "d_mean": 1.33, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 0 ], "facing": "↓", "response_ms": 3523, "was_retry": false, "was_random": false, "note": "Moving ↓ to (1,0) [BLUE] does not reduce W. From (1,0) facing ↓, move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W to 2. Then from (2,0) move ↗ to (3,0) [BLUE] and from (3,0) move ↑ to", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 2, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 6, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6994, "blue_efficiency": 0.2412, "S": 11, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.2, "edges_at_risk": 10, "mean_thickness": 1.091, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9091, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "→", "response_ms": 2581, "was_retry": false, "was_random": false, "note": "From (2,0) facing →, move ↗ to (3,0) [BLUE] to complete target (3,1)-(3,0), reducing W to 2. Then navigate to complete remaining targets.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 2, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1 }, "target_stability": 0.4 }, { "step": 22, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7003, "blue_efficiency": 0.2402, "S": 12, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 98.2, "edges_at_risk": 11, "mean_thickness": 1.083, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9167, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 3, -1 ], "facing": "↗", "response_ms": 2655, "was_retry": false, "was_random": false, "note": "From (3,0) facing ↗, move ↑ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 1. Then navigate to (1,-1) and move ↙ to (0,0) [BLUE] to complete final target (0,0)-(1,-1), winning with W=0.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 2, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.6 }, { "step": 23, "level": 6, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.6982, "blue_efficiency": 0.2402, "S": 12, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.19, "edges_at_risk": 11, "mean_thickness": 1.083, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9167, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 1, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(3,-1)-(3,0)" ], "total_edges": 15, "position": [ 3, 0 ], "facing": "↓", "response_ms": 3183, "was_retry": false, "was_random": false, "note": "From (3,0) facing ↓, move ↙ to (2,0) [GREY] then ↙ to (1,-1) [GREY] to reach position where we can complete target (0,0)-(1,-1) by moving ↗ to (0,0) [BLUE], reducing W to 1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 2, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.6 }, { "step": 24, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6991, "blue_efficiency": 0.2391, "S": 12, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.19, "edges_at_risk": 10, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 2, 1 ], "facing": "↙", "response_ms": 2343, "was_retry": false, "was_random": false, "note": "From (2,1) facing ↙, move ← to (1,0) [BLUE] then ↙ to (1,-1) [GREY] to position for completing target (0,0)-(1,-1) by moving ↗ to (0,0) [BLUE], reducing W from 3 to 2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 2, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.6 }, { "step": 25, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7, "blue_efficiency": 0.2381, "S": 12, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98.18, "edges_at_risk": 9, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2797, "was_retry": false, "was_random": false, "note": "From (1,0) facing ↖, move ↙ to (1,-1) [GREY] to position for completing target (0,0)-(1,-1) by moving ↗ to (0,0) [BLUE], reducing W to 2. Then navigate to complete remaining targets (3,1)-(3,0) and (3", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 2, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.4 }, { "step": 26, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7009, "blue_efficiency": 0.2371, "S": 12, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 98.17, "edges_at_risk": 9, "mean_thickness": 1.333, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, -1 ], "facing": "↑", "response_ms": 2495, "was_retry": false, "was_random": false, "note": "From (1,-1) facing ↑, move ↖ to (0,0) [BLUE] to complete target (0,0)-(1,-1), reducing W from 3 to 2. Then navigate to targets (3,1)-(3,0) and (3,-1)-(3,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.4 }, { "step": 27, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6988, "blue_efficiency": 0.2371, "S": 12, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 98.17, "edges_at_risk": 9, "mean_thickness": 1.333, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 0 ], "facing": "↙", "response_ms": 3492, "was_retry": false, "was_random": false, "note": "From (1,-1) facing ↑, moved ↙ to (0,0) [GREY] to complete target (0,0)-(1,-1). Next step: move → from (0,0) to (1,0) [BLUE] then navigate right to targets (3,1)-(3,0) and (3,-1)-(3,0) to reduce W to 0", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.4 }, { "step": 28, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6997, "blue_efficiency": 0.2361, "S": 12, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 98.16, "edges_at_risk": 8, "mean_thickness": 1.417, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 2.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 0 ], "facing": "→", "response_ms": 3300, "was_retry": false, "was_random": false, "note": "From (0,0) facing ↙, move → to (1,0) [BLUE] (adds thickness to existing edge, no W change). Then continue → → to reach (3,0), then ↗ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W to 2.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.4 }, { "step": 29, "level": 6, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6976, "blue_efficiency": 0.2361, "S": 11, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 98.16, "edges_at_risk": 7, "mean_thickness": 1.455, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6364, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 15, "position": [ 2, 0 ], "facing": "→", "response_ms": 2872, "was_retry": false, "was_random": false, "note": "From (1,0) facing →, move → to (2,0) [GREY] to continue path toward (3,0). Next step from (2,0): move → to (3,0) [GREY], then ↗ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W from 3 to 2.", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1 }, "target_stability": 0.4 }, { "step": 30, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6985, "blue_efficiency": 0.235, "S": 11, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 98.15, "edges_at_risk": 6, "mean_thickness": 1.545, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 1.12, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, -1 ], "facing": "↗", "response_ms": 3451, "was_retry": false, "was_random": false, "note": "From (2,0) facing →, moved ↗ to (3,-1) [BLUE] completing target (3,-1)-(3,0), reducing W from 4 to 3. Next: move ↖ to (3,0) [GREY], then ↗ to (3,1) [BLUE] to complete (3,1)-(3,0), reducing W to 2.", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2 }, "target_stability": 0.4 }, { "step": 31, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6964, "blue_efficiency": 0.235, "S": 11, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 98.14, "edges_at_risk": 6, "mean_thickness": 1.545, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, 0 ], "facing": "↓", "response_ms": 2644, "was_retry": false, "was_random": false, "note": "From (3,-1) facing ↗, move ↓ to (3,0) [GREY] to reposition. Next step: from (3,0) move ↗ to (3,1) [BLUE] to complete target (3,1)-(3,0), reducing W from 4 to 3.", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2 }, "target_stability": 0.6 }, { "step": 32, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6944, "blue_efficiency": 0.235, "S": 11, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 98.14, "edges_at_risk": 6, "mean_thickness": 1.545, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 3, 1 ], "facing": "↓", "response_ms": 3005, "was_retry": false, "was_random": false, "note": "From (3,0) facing ↓, move ↓ to (3,1) [GREY] completes target (3,1)-(3,0), reducing W from 4 to 3. Next: move ← to (2,1) [BLUE] then ↙ to (1,0) [BLUE] then ↙ to (1,-1) [BLUE] to complete target (0,0)-(", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2 }, "target_stability": 0.8 }, { "step": 33, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6953, "blue_efficiency": 0.234, "S": 12, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 98.13, "edges_at_risk": 8, "mean_thickness": 1.417, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.75, "d_max": 3, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 2, 1 ], "facing": "←", "response_ms": 5957, "was_retry": false, "was_random": false, "note": "From (3,1) facing ↓, moved ← to (2,1) [BLUE]. This adds thickness to existing edge. Next: move ↙ to (1,0) [BLUE], then ↙ to (1,-1) [BLUE] to complete target (0,0)-(1,-1), reducing W from 4 to 3.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 2, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1 }, "target_stability": 0.8 }, { "step": 34, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.6962, "blue_efficiency": 0.2331, "S": 12, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 98.13, "edges_at_risk": 8, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.38, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2742, "was_retry": false, "was_random": false, "note": "From (2,1) facing ←, moved ↖ to (1,0) [BLUE] adding thickness to existing edge. Next: move ↙ to (1,-1) [BLUE] then ↙ to (0,0) [BLUE] to complete target (0,0)-(1,-1), reducing W from 4 to 3.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 35, "level": 6, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6971, "blue_efficiency": 0.2363, "S": 13, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 98.12, "edges_at_risk": 9, "mean_thickness": 1.462, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6923, "d_min": 0, "d_mean": 1.38, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 2, 0 ], "facing": "→", "response_ms": 2968, "was_retry": false, "was_random": false, "note": "From (1,0) facing ↖, move → to (2,0) [BLUE] to complete target (1,0)-(2,0), reducing W from 4 to 3. Then move → to (3,0) [GREY] and ↓ to (3,1) [GREY] to position for target (3,1)-(3,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 36, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6979, "blue_efficiency": 0.2353, "S": 13, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 98.11, "edges_at_risk": 8, "mean_thickness": 1.538, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 1, "d_mean": 1.33, "d_max": 2, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 3, 1 ], "facing": "↘", "response_ms": 3018, "was_retry": false, "was_random": false, "note": "From (2,0) facing →, moved ↘ to (3,1) [BLUE] completing target (3,1)-(3,0), reducing W from 3 to 2. Next: move ↙ to (3,0) [GREY] then ↙ to (2,-1) [GREY] then ↘ to (3,-1) [GREY] to complete target (3,-", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 37, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6988, "blue_efficiency": 0.2343, "S": 14, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 98.11, "edges_at_risk": 9, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 17, "position": [ 3, 2 ], "facing": "↓", "response_ms": 4507, "was_retry": false, "was_random": false, "note": "From (3,1) facing ↘, moved ↓ to (3,2) [BLUE]. This was a mistake - created new target instead of reducing W. Must now move ← to (2,2) then ↙ to (2,1) then ← to (1,1) then ↙ to (1,0) then ↙ to (0,0) th", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1 }, "target_stability": 0.4 }, { "step": 38, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6997, "blue_efficiency": 0.2333, "S": 15, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 98.1, "edges_at_risk": 10, "mean_thickness": 1.467, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 2.67, "d_max": 4, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 2, 2 ], "facing": "←", "response_ms": 2356, "was_retry": false, "was_random": false, "note": "From (3,2) facing ↓, move ← to (2,2) [BLUE] to begin repositioning toward target (0,0)-(1,-1). Next: move ↙ to (2,1) [GREY], then navigate to (0,0) to complete the target.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1 }, "target_stability": 0.4 }, { "step": 39, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7006, "blue_efficiency": 0.2324, "S": 16, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 98.1, "edges_at_risk": 11, "mean_thickness": 1.438, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6875, "d_min": 1, "d_mean": 2.33, "d_max": 3, "cost_access": 1, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 19, "position": [ 1, 1 ], "facing": "↖", "response_ms": 3919, "was_retry": false, "was_random": false, "note": "From (2,2) facing ←, moved ↖ to (1,1) [BLUE]. Next: move ↙ to (1,0) [GREY] to reposition, then ← to (0,0) [GREY], then ↙ to (0,-1) [GREY], then → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and r", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 40, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7014, "blue_efficiency": 0.2314, "S": 17, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 98.09, "edges_at_risk": 12, "mean_thickness": 1.412, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7059, "d_min": 2, "d_mean": 2.17, "d_max": 3, "cost_access": 1, "nearest_edge": "(3,1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 0 ], "facing": "↑", "response_ms": 2913, "was_retry": false, "was_random": false, "note": "From (1,1) facing ↖, moved ↑ to (1,0) [BLUE] - this added thickness instead of reducing W. Now at (1,0) facing ↑. Must move ← to (0,0) [GREY], then ↙ to (0,-1) [GREY], then → to (1,-1) [BLUE] to compl", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 41, "level": 6, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.6994, "blue_efficiency": 0.2314, "S": 16, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 98.08, "edges_at_risk": 11, "mean_thickness": 1.438, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6875, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 20, "position": [ 0, 0 ], "facing": "←", "response_ms": 1834, "was_retry": false, "was_random": false, "note": "From (1,0) facing ↑, moved ← to (0,0) [GREY]. Next: move ↙ to (0,-1) [GREY], then → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and reduce W to 2.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 42, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7003, "blue_efficiency": 0.2305, "S": 17, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 98.08, "edges_at_risk": 12, "mean_thickness": 1.412, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7059, "d_min": 0, "d_mean": 1.75, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 21, "position": [ -1, 1 ], "facing": "↙", "response_ms": 2323, "was_retry": false, "was_random": false, "note": "From (0,0) facing ←, moved ↙ to (0,-1) [GREY]. Next: move → to (1,-1) [BLUE] to complete target (0,0)-(1,-1) and reduce W to 3.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 43, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7011, "blue_efficiency": 0.2295, "S": 18, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.07, "edges_at_risk": 13, "mean_thickness": 1.389, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7222, "d_min": 2, "d_mean": 3.12, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 22, "position": [ -1, 2 ], "facing": "↓", "response_ms": 4570, "was_retry": false, "was_random": false, "note": "From [-1,1] facing ↙, moved ↓ to [-1,2] [BLUE]. This creates new edge, increasing W to 5. Must reach target (0,0)-(1,-1): move ← to (-2,2) [GREY], then navigate back to complete remaining 5 targets ef", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1 }, "target_stability": 0.6 }, { "step": 44, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.702, "blue_efficiency": 0.2286, "S": 19, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 98.07, "edges_at_risk": 14, "mean_thickness": 1.368, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7368, "d_min": 3, "d_mean": 3.75, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 23, "position": [ 0, 1 ], "facing": "↗", "response_ms": 2983, "was_retry": false, "was_random": false, "note": "From [-1,2] facing ↓, move ↗ to [0,1] [BLUE]. This completes edge (-1,2)-(0,1), reducing W to 3. Next priority: reach (0,0) to complete target (0,0)-(1,0) or (0,0)-(1,-1).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 45, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7029, "blue_efficiency": 0.2276, "S": 20, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.06, "edges_at_risk": 15, "mean_thickness": 1.35, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 2.12, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 24, "position": [ 0, 0 ], "facing": "↑", "response_ms": 2429, "was_retry": false, "was_random": false, "note": "From [0,1] facing ↗, moved ↑ to [0,0] [BLUE]. This completes target (0,0)-(0,1), reducing W to 3. Next: move ↘ to [1,0] [BLUE] to complete target (0,0)-(1,0), reducing W to 2.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 46, "level": 6, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7009, "blue_efficiency": 0.2276, "S": 20, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 98.05, "edges_at_risk": 15, "mean_thickness": 1.35, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.75, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,1)" ], "total_edges": 25, "position": [ 1, 1 ], "facing": "↘", "response_ms": 4600, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↑, moved ↘ to [1,0] [GREY]. Edge (0,0)-(1,0) already exists INCOMPLETE, so this does NOT reduce W (still W=4). Critical error in previous note - must now move ↘ again to [2,0] [BLUE]", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 47, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7017, "blue_efficiency": 0.2267, "S": 21, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 98.05, "edges_at_risk": 16, "mean_thickness": 1.333, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7619, "d_min": 0, "d_mean": 1.8, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 26, "position": [ 0, 2 ], "facing": "↙", "response_ms": 4894, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↘, move ↙ to [0,1] [BLUE] completes edge (1,1)-(0,1), but this is NOT a target. Current W=5 means 5 targets remain: (0,0)-(1,0), (3,1)-(3,0), (0,0)-(1,-1), (3,-1)-(3,0), (0,0)-(1,1).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1 }, "target_stability": 0.4 }, { "step": 48, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7025, "blue_efficiency": 0.2258, "S": 22, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.04, "edges_at_risk": 17, "mean_thickness": 1.318, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7727, "d_min": 1, "d_mean": 2.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ -1, 2 ], "facing": "←", "response_ms": 3861, "was_retry": false, "was_random": false, "note": "From [0,2] facing ↙, moved ← to [-1,2] [BLUE]. This completes edge (0,2)-(-1,2) with thickness=2 (already existed). Not a target, W still 5. Next: from [-1,2] move ↓ to [-1,1] [BLUE], then ↘ to [0,0] ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1 }, "target_stability": 0.4 }, { "step": 49, "level": 6, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7006, "blue_efficiency": 0.2258, "S": 22, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.04, "edges_at_risk": 17, "mean_thickness": 1.318, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7727, "d_min": 2, "d_mean": 3.5, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-1,2)-(-1,3)" ], "total_edges": 28, "position": [ -1, 3 ], "facing": "↓", "response_ms": 3531, "was_retry": false, "was_random": false, "note": "From [-1,2] facing ←, moved ↓ to [-1,1] [GREY]. This does NOT reduce W (still 5). Must reach [0,0] to complete targets. Next: from [-1,1] move ↘ to [0,0] [BLUE] completing edge (-1,1)-(0,0), then comp", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1 }, "target_stability": 0.4 }, { "step": 50, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7014, "blue_efficiency": 0.2249, "S": 23, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 98.03, "edges_at_risk": 18, "mean_thickness": 1.304, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7826, "d_min": 0, "d_mean": 3.75, "d_max": 6, "cost_access": 0, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 0, 4 ], "facing": "↘", "response_ms": 5114, "was_retry": false, "was_random": false, "note": "From [-1,3] facing ↓, move ↘ to [0,3] [BLUE]. This creates/completes edge (-1,3)-(0,3). Not a target edge, so W remains 6. Current position shows TARGET (-1,2)-(-1,3) exists but already DONE with thic", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 1 }, "target_stability": 0.6 }, { "step": 51, "level": 6, "cycle": 1, "W": 7, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6994, "blue_efficiency": 0.2249, "S": 23, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.02, "edges_at_risk": 18, "mean_thickness": 1.304, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7826, "d_min": 1, "d_mean": 3.92, "d_max": 6, "cost_access": 0, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,4)-(0,5)" ], "total_edges": 30, "position": [ 0, 5 ], "facing": "↓", "response_ms": 4113, "was_retry": false, "was_random": false, "note": "From [0,4] facing ↘, move ↓ to [0,5] [GREY] to reposition. This doesn't reduce W but avoids creating new edges in wrong directions. Next: from [0,5] must navigate back toward origin [0,0] to complete ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 1 }, "target_stability": 0.4 }, { "step": 52, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7003, "blue_efficiency": 0.224, "S": 24, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 98.02, "edges_at_risk": 19, "mean_thickness": 1.292, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7917, "d_min": 0, "d_mean": 4.29, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,4)-(0,5)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 31, "position": [ -1, 4 ], "facing": "↖", "response_ms": 4373, "was_retry": false, "was_random": false, "note": "From [0,5] facing ↓, move ↖ to [-1,4] [BLUE]. This completes edge (0,5)-(-1,4). Not a direct target but positions us closer to origin. W=7 unchanged. Next: from [-1,4] continue toward [0,0] via existi", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 1, "(0,5)-(-1,4)": 1 }, "target_stability": 0.6 }, { "step": 53, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7011, "blue_efficiency": 0.2231, "S": 25, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.01, "edges_at_risk": 20, "mean_thickness": 1.28, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 4.21, "d_max": 7, "cost_access": 1, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 32, "position": [ -1, 3 ], "facing": "↑", "response_ms": 4126, "was_retry": false, "was_random": false, "note": "From [-1,4] facing ↖, move ↑ to [-1,3] [BLUE]. This completes TARGET (-1,2)-(-1,3), reducing W from 7 to 6. Critical progress! Next: from [-1,3] navigate toward origin [0,0] to complete remaining targ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1 }, "target_stability": 0.6 }, { "step": 54, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7019, "blue_efficiency": 0.2222, "S": 25, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.01, "edges_at_risk": 19, "mean_thickness": 1.32, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.76, "d_min": 0, "d_mean": 3.43, "d_max": 6, "cost_access": 0, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 32, "position": [ 0, 4 ], "facing": "↘", "response_ms": 3264, "was_retry": false, "was_random": false, "note": "From [-1,3] facing ↑, move ↘ to [0,4] [BLUE]. This completes TARGET (0,4)-(0,5), reducing W from 7 to 6. Strong progress! Next: from [0,4] navigate toward origin [0,0] to complete critical targets: (0", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 2, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1 }, "target_stability": 0.4 }, { "step": 55, "level": 6, "cycle": 1, "W": 6, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 3, "B_blue": 0, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7028, "blue_efficiency": 0.2253, "S": 26, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98, "edges_at_risk": 20, "mean_thickness": 1.308, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 3.43, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,4)-(0,5)", "target_switch": true, "B_at_switch": 3, "newly_colored": [ "(0,4)-(0,5)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 32, "position": [ 0, 5 ], "facing": "↓", "response_ms": 3338, "was_retry": false, "was_random": false, "note": "From [0,4] facing ↘, move ↓ to [0,5] [BLUE]. This completes TARGET (0,4)-(0,5), reducing W from 7 to 6. Critical progress! Next: from [0,5] navigate back toward origin [0,0] via existing DONE edges to", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 2, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1 }, "target_stability": 0.4 }, { "step": 56, "level": 6, "cycle": 1, "W": 7, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7008, "blue_efficiency": 0.2253, "S": 26, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 97.99, "edges_at_risk": 20, "mean_thickness": 1.308, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 2, "d_mean": 4.92, "d_max": 7, "cost_access": 0, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,5)-(1,4)" ], "total_edges": 33, "position": [ 1, 4 ], "facing": "↗", "response_ms": 3398, "was_retry": false, "was_random": false, "note": "From [0,5] facing ↓, move ↗ to [1,4] [GREY]. Repositioning toward origin via existing edges. Next: navigate to [0,0] to complete the three critical origin targets: (0,0)-(1,0), (0,0)-(1,-1), (0,0)-(1,", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 2, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1 }, "target_stability": 0.4 }, { "step": 57, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7017, "blue_efficiency": 0.2244, "S": 27, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 97.99, "edges_at_risk": 21, "mean_thickness": 1.296, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 0, "d_mean": 3.79, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ 0, 4 ], "facing": "←", "response_ms": 11681, "was_retry": false, "was_random": false, "note": "From [1,4] facing ↗, move ← to [0,4] [BLUE]. This completes TARGET (0,5)-(1,4), reducing W from 7 to 6. Next: navigate from [0,4] toward origin [0,0] using existing DONE edges to complete critical tar", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 2, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1 }, "target_stability": 0.6 }, { "step": 58, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6997, "blue_efficiency": 0.2244, "S": 27, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 97.98, "edges_at_risk": 22, "mean_thickness": 1.259, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.8148, "d_min": 1, "d_mean": 3.5, "d_max": 6, "cost_access": 0, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ -1, 3 ], "facing": "↖", "response_ms": 3594, "was_retry": false, "was_random": false, "note": "From [0,4] facing ←, move ↖ to [-1,3] [GREY]. This completes TARGET (-1,2)-(-1,3), reducing W from 7 to 6. Next: from [-1,3] navigate toward origin [0,0] via existing DONE edges to complete remaining ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1 }, "target_stability": 0.6 }, { "step": 59, "level": 6, "cycle": 1, "W": 6, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7005, "blue_efficiency": 0.2275, "S": 28, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 97.98, "edges_at_risk": 23, "mean_thickness": 1.25, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.8214, "d_min": 0, "d_mean": 3.5, "d_max": 6, "cost_access": 0, "nearest_edge": "(-1,2)-(-1,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(-1,2)-(-1,3)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ -1, 2 ], "facing": "↑", "response_ms": 3616, "was_retry": false, "was_random": false, "note": "From [-1,3] facing ↖, move ↑ to [-1,2] [BLUE]. This completes TARGET (-1,2)-(-1,3), reducing W from 7 to 6. Next: navigate from [-1,2] toward origin [0,0] via existing DONE edges (use ↗ to [0,1] then ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1 }, "target_stability": 0.6 }, { "step": 60, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7014, "blue_efficiency": 0.2266, "S": 28, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 97.97, "edges_at_risk": 22, "mean_thickness": 1.286, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7857, "d_min": 2, "d_mean": 3.42, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 34, "position": [ 0, 1 ], "facing": "↗", "response_ms": 3902, "was_retry": false, "was_random": false, "note": "From [-1,2] facing ↑, move ↗ to [0,1] [BLUE]. This uses existing DONE edge, adds thickness. Next: from [0,1] move → to [0,0] [GREY], then complete the three origin targets: ↘ to [1,0] [BLUE] for TARGE", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1 }, "target_stability": 0.6 }, { "step": 61, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7022, "blue_efficiency": 0.2257, "S": 29, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 97.97, "edges_at_risk": 23, "mean_thickness": 1.276, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7931, "d_min": 1, "d_mean": 2.25, "d_max": 4, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 35, "position": [ 1, 1 ], "facing": "→", "response_ms": 3095, "was_retry": false, "was_random": false, "note": "From [0,1] facing ↗, move → to [1,1] [BLUE] completing TARGET (0,0)-(1,1), reducing W from 6 to 5. Next: from [1,1] navigate to complete remaining 5 targets prioritizing those reachable via existing D", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 62, "level": 6, "cycle": 1, "W": 7, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7003, "blue_efficiency": 0.2257, "S": 28, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 97.96, "edges_at_risk": 22, "mean_thickness": 1.286, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7857, "d_min": 0, "d_mean": 2.08, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(1,1)-(1,0)" ], "new_targets_created": [], "total_edges": 35, "position": [ 1, 0 ], "facing": "↑", "response_ms": 3832, "was_retry": false, "was_random": false, "note": "From [1,1] facing →, move ↑ to [1,0] [GREY] to reposition. Next: from [1,0] move ↙ to [0,0] [GREY], then complete TARGET (0,0)-(1,0) with ↘ [BLUE], TARGET (0,0)-(1,-1) with ↓ [BLUE]. This path reduces", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 63, "level": 6, "cycle": 1, "W": 8, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7011, "blue_efficiency": 0.2248, "S": 28, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 97.95, "edges_at_risk": 22, "mean_thickness": 1.286, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7857, "d_min": 0, "d_mean": 1.64, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 36, "position": [ 0, 1 ], "facing": "↙", "response_ms": 3570, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↑, move ↙ to [0,0] [BLUE] completing TARGET (0,0)-(1,1), reducing W from 7 to 6. Next: from [0,0] complete TARGET (0,0)-(1,0) with ↘ [BLUE], then TARGET (0,0)-(1,-1) with ↓ [BLUE]. T", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 64, "level": 6, "cycle": 1, "W": 8, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7019, "blue_efficiency": 0.2239, "S": 29, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 97.95, "edges_at_risk": 23, "mean_thickness": 1.276, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7931, "d_min": 1, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, 2 ], "facing": "↘", "response_ms": 3323, "was_retry": false, "was_random": false, "note": "From [0,1] facing ↙, move ↘ to [1,0] [BLUE] completing TARGET (1,1)-(1,0), reducing W from 8 to 7. Next: from [1,0] complete TARGET (0,0)-(1,0) with ↖ [BLUE], then TARGET (0,0)-(1,-1) with ↙ [BLUE] to", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 65, "level": 6, "cycle": 1, "W": 8, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7027, "blue_efficiency": 0.2231, "S": 30, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 97.94, "edges_at_risk": 24, "mean_thickness": 1.267, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 2.5, "d_max": 4, "cost_access": 1, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 38, "position": [ 2, 1 ], "facing": "↗", "response_ms": 3327, "was_retry": false, "was_random": false, "note": "From [1,2] facing ↘, move ↗ to [2,1] [BLUE] to add thickness to existing edge. Next: from [2,1] move ↙ to [1,0] [BLUE] completing TARGET (1,1)-(1,0) reducing W=7→6, then ↖ to [0,0] [BLUE] completing T", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 3, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 66, "level": 6, "cycle": 1, "W": 8, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7035, "blue_efficiency": 0.2222, "S": 30, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 97.94, "edges_at_risk": 24, "mean_thickness": 1.3, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 1.75, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 38, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2895, "was_retry": false, "was_random": false, "note": "From [2,1] facing ↗, moved ↖ to [1,0] [BLUE] adding thickness to edge (2,1)-(1,0). Next: from [1,0] move ↖ to [0,0] [BLUE] completing TARGET (0,0)-(1,0) reducing W=8→7, then ↙ to [1,-1] [BLUE] complet", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 67, "level": 6, "cycle": 1, "W": 7, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7043, "blue_efficiency": 0.2252, "S": 31, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 97.93, "edges_at_risk": 25, "mean_thickness": 1.29, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.8065, "d_min": 0, "d_mean": 1.5, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 38, "position": [ 0, 0 ], "facing": "←", "response_ms": 3008, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↖, move ← to [0,0] [BLUE] completing TARGET (0,0)-(1,0), reducing W from 8 to 7. Next: from [0,0] move ↙ to [1,-1] [BLUE] completing TARGET (0,0)-(1,-1) to reduce W=7→6.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 1, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 68, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7051, "blue_efficiency": 0.2243, "S": 31, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 97.92, "edges_at_risk": 24, "mean_thickness": 1.323, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7742, "d_min": 0, "d_mean": 2.21, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 38, "position": [ -1, 1 ], "facing": "↙", "response_ms": 2341, "was_retry": false, "was_random": false, "note": "From [0,0] facing ←, move ↙ to [1,-1] [GREY] (damages completed edge but necessary). Next: from [1,-1] move ↗ to [2,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=7→6.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 69, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7059, "blue_efficiency": 0.2235, "S": 32, "arrow": "→", "is_blue": true, "first_pass_valid": false, "bite_in": 24, "oxygen_pct": 97.92, "edges_at_risk": 25, "mean_thickness": 1.312, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7812, "d_min": 2, "d_mean": 3.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 39, "position": [ 0, 1 ], "facing": "→", "response_ms": 2572, "was_retry": true, "was_random": false, "note": "From [-1,1] facing ↙, moved → to [0,1] [BLUE] adding thickness. Next: from [0,1] move ↗ to [1,1] [BLUE] completing TARGET (0,0)-(1,1) reducing W=7→6.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1 }, "target_stability": 0.8 }, { "step": 70, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7067, "blue_efficiency": 0.2226, "S": 32, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 97.91, "edges_at_risk": 24, "mean_thickness": 1.344, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 2.14, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 39, "position": [ 0, 0 ], "facing": "↑", "response_ms": 2743, "was_retry": false, "was_random": false, "note": "From [0,1] facing →, move ↑ to [0,0] [BLUE] adding thickness to protect (0,1)-(0,0). Next: from [0,0] facing ↑, move ↗ to [1,1] [BLUE] completing TARGET (0,0)-(1,1) reducing W=7→6.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 71, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7048, "blue_efficiency": 0.2226, "S": 32, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 97.91, "edges_at_risk": 24, "mean_thickness": 1.344, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 2.21, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 39, "position": [ 1, -1 ], "facing": "↗", "response_ms": 2592, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↑, move ↗ to [1,0] [GREY] repositioning toward TARGET (1,0)-(2,0). Next: from [1,0] move → to [2,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=7→6.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 72, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7056, "blue_efficiency": 0.2218, "S": 33, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 97.9, "edges_at_risk": 25, "mean_thickness": 1.333, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7576, "d_min": 0, "d_mean": 2.07, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 40, "position": [ 2, -1 ], "facing": "→", "response_ms": 2735, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↗, moved → to [2,-1] [BLUE]. Next: from [2,-1] facing → move ↘ to [2,0] [BLUE] then → to [3,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=7→6.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1 }, "target_stability": 0.4 }, { "step": 73, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7063, "blue_efficiency": 0.221, "S": 34, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 97.89, "edges_at_risk": 26, "mean_thickness": 1.324, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7647, "d_min": 1, "d_mean": 2.64, "d_max": 7, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 41, "position": [ 3, 0 ], "facing": "↘", "response_ms": 2622, "was_retry": false, "was_random": false, "note": "From [2,-1] facing →, moved ↘ to [3,0] [BLUE] completing TARGET (3,-1)-(3,0) reducing W=7→6. Next: from [3,0] facing ↘, move ↙ to [3,1] [BLUE] completing TARGET (3,0)-(3,1) reducing W=6→5.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1 }, "target_stability": 0.4 }, { "step": 74, "level": 6, "cycle": 1, "W": 6, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7071, "blue_efficiency": 0.2239, "S": 35, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 97.89, "edges_at_risk": 27, "mean_thickness": 1.314, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7714, "d_min": 0, "d_mean": 2.14, "d_max": 6, "cost_access": 0, "nearest_edge": "(3,1)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(3,1)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 41, "position": [ 3, 1 ], "facing": "↓", "response_ms": 2823, "was_retry": false, "was_random": false, "note": "From [3,0] facing ↘, moved ↓ to [3,1] [BLUE] completing TARGET (3,1)-(3,0) reducing W=7→6. Next: from [3,1] facing ↓, move ↙ to [2,1] [BLUE] then ← to [1,1] [BLUE] completing TARGET (1,1)-(1,0) reduci", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 75, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7079, "blue_efficiency": 0.223, "S": 35, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 97.88, "edges_at_risk": 26, "mean_thickness": 1.343, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.7429, "d_min": 1, "d_mean": 2.58, "d_max": 5, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 41, "position": [ 2, 1 ], "facing": "←", "response_ms": 2441, "was_retry": false, "was_random": false, "note": "From [3,1] facing ↓, moved ← to [2,1] [BLUE]. Next: from [2,1] facing ←, move ↙ to [1,0] [BLUE] completing TARGET (1,1)-(1,0) reducing W=6→5.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1 }, "target_stability": 0.8 }, { "step": 76, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7087, "blue_efficiency": 0.2222, "S": 35, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 97.88, "edges_at_risk": 26, "mean_thickness": 1.371, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7429, "d_min": 1, "d_mean": 1.92, "d_max": 5, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 41, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2513, "was_retry": false, "was_random": false, "note": "From [2,1] facing ←, moved ↖ to [1,0] [BLUE] completing TARGET (1,1)-(1,0) reducing W=6→5. Next: from [1,0] facing ↖, move ↙ to [0,0] [BLUE] completing TARGET (0,0)-(1,0) reducing W=5→4.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1 }, "target_stability": 0.8 }, { "step": 77, "level": 6, "cycle": 1, "W": 5, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7094, "blue_efficiency": 0.2251, "S": 36, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 97.87, "edges_at_risk": 27, "mean_thickness": 1.361, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.58, "d_max": 5, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 41, "position": [ 2, 0 ], "facing": "→", "response_ms": 4540, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↖, moved → to [2,0] [BLUE] completing TARGET (1,0)-(2,0) reducing W=6→5. Next: from [2,0] facing →, move ↘ to [2,-1] [BLUE] then → to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0) red", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 78, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7076, "blue_efficiency": 0.2251, "S": 36, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 97.86, "edges_at_risk": 28, "mean_thickness": 1.333, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 1, "d_mean": 2.3, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 41, "position": [ 3, -1 ], "facing": "↗", "response_ms": 2716, "was_retry": false, "was_random": false, "note": "From [2,0] facing →, moved ↗ to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0) reducing W=5→4. Next: from [3,-1] facing ↗, move ↑ to [3,0] [BLUE] to increase thickness on this edge.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1 }, "target_stability": 0.8 }, { "step": 79, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7083, "blue_efficiency": 0.2243, "S": 37, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 97.86, "edges_at_risk": 29, "mean_thickness": 1.324, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7838, "d_min": 0, "d_mean": 3.0, "d_max": 7, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 42, "position": [ 2, -1 ], "facing": "←", "response_ms": 2657, "was_retry": false, "was_random": false, "note": "From [3,-1] facing ↗, moved ← to [2,-1] [BLUE] to reach position for completing TARGET (0,0)-(1,-1). Next: from [2,-1] facing ←, move ← to [1,-1] [BLUE] to get closer to completing this target.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 80, "level": 6, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7065, "blue_efficiency": 0.2243, "S": 36, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 97.85, "edges_at_risk": 28, "mean_thickness": 1.333, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 1, "d_mean": 2.9, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(1,-1)-(2,-1)" ], "new_targets_created": [], "total_edges": 42, "position": [ 1, -1 ], "facing": "←", "response_ms": 2426, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ←, moved ← to [1,-1] [GREY] repositioning. Next: from [1,-1] facing ←, move ↙ to [0,-1] [BLUE] then ↓ to [0,0] [BLUE] completing TARGET (0,0)-(1,-1) reducing W=5→4.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 81, "level": 6, "cycle": 1, "W": 5, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7073, "blue_efficiency": 0.2271, "S": 37, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 97.85, "edges_at_risk": 29, "mean_thickness": 1.324, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7838, "d_min": 0, "d_mean": 1.92, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 42, "position": [ 0, 0 ], "facing": "↙", "response_ms": 2997, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ←, moved ↙ to [0,0] [BLUE] completing TARGET (0,0)-(1,-1) reducing W=6→5. Next: from [0,0] facing ↙, move ↗ to [1,0] [BLUE] then ↑ to [1,1] [BLUE] completing TARGET (1,1)-(1,0) and ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 82, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.708, "blue_efficiency": 0.2263, "S": 37, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 97.84, "edges_at_risk": 28, "mean_thickness": 1.351, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7568, "d_min": 0, "d_mean": 2.4, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 42, "position": [ 1, 0 ], "facing": "→", "response_ms": 2368, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↙, moved → to [1,0] [BLUE]. Next: from [1,0] facing →, move ↗ to [1,1] [BLUE] completing TARGET (1,1)-(1,0) and TARGET (0,0)-(1,1) reducing W=5→3.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 83, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7088, "blue_efficiency": 0.2255, "S": 38, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 97.83, "edges_at_risk": 29, "mean_thickness": 1.342, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7632, "d_min": 0, "d_mean": 1.9, "d_max": 5, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 43, "position": [ 2, -1 ], "facing": "↗", "response_ms": 3253, "was_retry": false, "was_random": false, "note": "From [1,0] facing →, moved ↗ to [2,1] [GREY]. This is repositioning to complete TARGET (1,-1)-(2,-1). Next: from [2,1] facing ↗, move ↙ to [1,0] then ↖ to [1,-1] then → to [2,-1] [BLUE] completing TAR", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1 }, "target_stability": 0.8 }, { "step": 84, "level": 6, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7069, "blue_efficiency": 0.2255, "S": 38, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 97.83, "edges_at_risk": 29, "mean_thickness": 1.342, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7632, "d_min": 0, "d_mean": 2.7, "d_max": 7, "cost_access": 0, "nearest_edge": "(1,-1)-(2,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,-1)-(2,0)" ], "total_edges": 44, "position": [ 2, 0 ], "facing": "↓", "response_ms": 3377, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ↗, move ↓ to [2,0] [GREY] repositioning. Then from [2,0] facing ↓, move ↖ to [1,-1] [GREY], then → to [2,-1] [BLUE] completing TARGET (1,-1)-(2,-1) reducing W=5→4.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1 }, "target_stability": 0.8 }, { "step": 85, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7077, "blue_efficiency": 0.2246, "S": 39, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 97.82, "edges_at_risk": 30, "mean_thickness": 1.333, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 1.92, "d_max": 6, "cost_access": 0, "nearest_edge": "(2,-1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 1, 1 ], "facing": "↙", "response_ms": 4605, "was_retry": false, "was_random": false, "note": "From [2,0] facing ↓, moved ↙ to [1,1] [BLUE] completing TARGET (0,0)-(1,1), reducing W from 6 to 5. Next: move ↖ to [0,1] [GREY], then ↙ to [0,0] [GREY], then ↗ to [1,0] [GREY], then ↗ to [1,1] [GREY]", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 1.0 }, { "step": 86, "level": 6, "cycle": 1, "W": 5, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7084, "blue_efficiency": 0.2274, "S": 40, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 97.82, "edges_at_risk": 31, "mean_thickness": 1.325, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.775, "d_min": 0, "d_mean": 2.08, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(0,0)-(1,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 0, 0 ], "facing": "↖", "response_ms": 3385, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↙, moved ↖ to [0,0] [BLUE] completing TARGET (1,1)-(1,0), reducing W from 6 to 5. Next: from [0,0] facing ↖, move ↗ to [1,0] [GREY] repositioning toward remaining targets (3,-1)-(3,0", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 87, "level": 6, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7092, "blue_efficiency": 0.2266, "S": 40, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 97.81, "edges_at_risk": 30, "mean_thickness": 1.35, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 2.6, "d_max": 5, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 1, -1 ], "facing": "↗", "response_ms": 3198, "was_retry": false, "was_random": false, "note": "From [0,0] facing ↖, moved ↗ to [1,0] [BLUE] adding thickness. Next: from [1,0] facing ↗, move → to [2,0] [GREY], then ↘ to [3,0] [GREY], then ↙ to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0), reduci", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 88, "level": 6, "cycle": 1, "W": 4, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7099, "blue_efficiency": 0.2294, "S": 41, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 97.8, "edges_at_risk": 31, "mean_thickness": 1.341, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7561, "d_min": 0, "d_mean": 2.1, "d_max": 6, "cost_access": 0, "nearest_edge": "(1,-1)-(2,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,-1)-(2,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 2, -1 ], "facing": "→", "response_ms": 2604, "was_retry": false, "was_random": false, "note": "From [1,-1] facing ↗, move → to [2,-1] [BLUE] completing TARGET (1,-1)-(2,-1), reducing W from 5 to 4. This is the most direct path to reduce W.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 1, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 89, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7107, "blue_efficiency": 0.2286, "S": 41, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 97.8, "edges_at_risk": 30, "mean_thickness": 1.366, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7317, "d_min": 0, "d_mean": 2.75, "d_max": 7, "cost_access": 0, "nearest_edge": "(2,-1)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, 0 ], "facing": "↘", "response_ms": 2970, "was_retry": false, "was_random": false, "note": "From [2,-1] facing →, moved ↘ to [3,0] [BLUE] completing TARGET (3,-1)-(3,0), reducing W from 4 to 3. Next: move to complete remaining targets (2,-1)-(2,0), (1,1)-(1,0), and (0,5)-(1,4).", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 90, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7089, "blue_efficiency": 0.2286, "S": 41, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 97.79, "edges_at_risk": 30, "mean_thickness": 1.366, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7317, "d_min": 0, "d_mean": 2.38, "d_max": 6, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, -1 ], "facing": "↑", "response_ms": 2666, "was_retry": false, "was_random": false, "note": "From [3,0] facing ↘, move ↑ to [3,-1] [GREY] to reposition. Then from [3,-1], move ↓ to [2,-1] [GREY], then ↙ to [2,0] [BLUE] to complete TARGET (2,-1)-(2,0), reducing W from 4 to 3.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 1, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 91, "level": 6, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7096, "blue_efficiency": 0.2278, "S": 41, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 97.79, "edges_at_risk": 29, "mean_thickness": 1.39, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7073, "d_min": 0, "d_mean": 2.62, "d_max": 7, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 2, -1 ], "facing": "←", "response_ms": 2657, "was_retry": false, "was_random": false, "note": "From [3,-1] facing ↑, move ← to [2,-1] [BLUE] completing TARGET (2,-1)-(2,0), reducing W from 4 to 3. Then head toward (1,1) to complete TARGET (1,1)-(1,0).", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 92, "level": 6, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7103, "blue_efficiency": 0.2305, "S": 42, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 97.78, "edges_at_risk": 30, "mean_thickness": 1.381, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 0, "d_mean": 2.75, "d_max": 7, "cost_access": 0, "nearest_edge": "(2,-1)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,-1)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 2, 0 ], "facing": "↓", "response_ms": 3177, "was_retry": false, "was_random": false, "note": "From [2,-1] facing ←, moved ↓ to [2,0] [BLUE] completing TARGET (2,-1)-(2,0), reducing W from 4 to 3. Next: move ↙ to [1,0] then ↖ to [1,1] [BLUE] to complete TARGET (1,1)-(1,0), reducing W to 2.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 93, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7111, "blue_efficiency": 0.2297, "S": 42, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 97.77, "edges_at_risk": 30, "mean_thickness": 1.381, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 2.67, "d_max": 6, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, 0 ], "facing": "→", "response_ms": 2707, "was_retry": false, "was_random": false, "note": "From [2,0] facing ↓, move → to [3,0] [BLUE] to complete TARGET (3,-1)-(3,0), reducing W from 3 to 2. Then navigate to complete TARGET (1,1)-(1,0) and TARGET (0,5)-(1,4).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 94, "level": 6, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.4, "blue_ratio_cum": 0.7118, "blue_efficiency": 0.2324, "S": 43, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 97.77, "edges_at_risk": 31, "mean_thickness": 1.372, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.7209, "d_min": 0, "d_mean": 2.67, "d_max": 6, "cost_access": 0, "nearest_edge": "(3,-1)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(3,-1)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, -1 ], "facing": "↑", "response_ms": 3077, "was_retry": false, "was_random": false, "note": "From [3,0] facing ↑, moved to [3,-1] [BLUE] completing TARGET (3,-1)-(3,0), reducing W from 3 to 2. Next: navigate via ↙ to [2,0], then ↙ to [1,0], then ↖ to [1,1] to complete TARGET (1,1)-(1,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 1, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 95, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.4, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.4, "blue_ratio_cum": 0.7125, "blue_efficiency": 0.2316, "S": 43, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 97.76, "edges_at_risk": 30, "mean_thickness": 1.395, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6977, "d_min": 2, "d_mean": 4.5, "d_max": 7, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 2, 0 ], "facing": "↙", "response_ms": 2710, "was_retry": false, "was_random": false, "note": "From [3,-1] facing ↑, moved ↙ to [2,0] [BLUE]. W remains 2. Next: move ↙ to [1,0] [BLUE], then ↖ to [1,1] [BLUE] to complete TARGET (1,1)-(1,0), reducing W to 1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 96, "level": 6, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7107, "blue_efficiency": 0.2316, "S": 42, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 97.76, "edges_at_risk": 29, "mean_thickness": 1.405, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6905, "d_min": 1, "d_mean": 3.5, "d_max": 6, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(2,0)-(1,1)" ], "new_targets_created": [], "total_edges": 45, "position": [ 1, 1 ], "facing": "↙", "response_ms": 2765, "was_retry": false, "was_random": false, "note": "From [2,0] facing ↙, move ↙ to [1,1] [GREY] to position for completing TARGET (1,1)-(1,0). Next turn from [1,1], move ↙ to [1,0] [BLUE] to complete this target, reducing W from 2 to 1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 97, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7114, "blue_efficiency": 0.2308, "S": 43, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 97.75, "edges_at_risk": 30, "mean_thickness": 1.395, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6977, "d_min": 0, "d_mean": 1.67, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 46, "position": [ 1, 2 ], "facing": "↓", "response_ms": 5406, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↙, moved ↓ to [1,0] [BLUE] completing TARGET (1,1)-(1,0), reducing W from 3 to 2. Next: navigate to complete TARGET (2,0)-(1,1) by moving ↗ from [1,0].", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 98, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7122, "blue_efficiency": 0.23, "S": 43, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 97.74, "edges_at_risk": 29, "mean_thickness": 1.419, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 46, "position": [ 2, 1 ], "facing": "↗", "response_ms": 2988, "was_retry": false, "was_random": false, "note": "From [1,2] facing ↓, move ↗ to [2,1] [BLUE] to complete TARGET (2,0)-(1,1), reducing W from 3 to 2. Next: navigate toward TARGET (0,5)-(1,4) - the last remaining target.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 99, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7129, "blue_efficiency": 0.2292, "S": 43, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 97.74, "edges_at_risk": 29, "mean_thickness": 1.442, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 1, "d_mean": 2.17, "d_max": 5, "cost_access": 1, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 46, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2426, "was_retry": false, "was_random": false, "note": "From [2,1] facing ↗, move ↖ to [1,0] [BLUE] to complete TARGET (2,0)-(1,1), reducing W from 3 to 2. Next: navigate toward remaining TARGET (0,5)-(1,4) by moving through existing edges toward (1,4).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.2 }, { "step": 100, "level": 6, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7136, "blue_efficiency": 0.2318, "S": 44, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 97.73, "edges_at_risk": 30, "mean_thickness": 1.432, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6818, "d_min": 0, "d_mean": 2.0, "d_max": 5, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,1)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 46, "position": [ 1, 1 ], "facing": "↓", "response_ms": 3499, "was_retry": false, "was_random": false, "note": "From [1,0] facing ↖, moved ↓ to [1,1] [BLUE] completing TARGET (2,0)-(1,1), reducing W from 3 to 2. Next: navigate toward TARGET (0,5)-(1,4) by moving ↙ to [0,2] then continue toward [1,4].", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.2 }, { "step": 101, "level": 6, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7118, "blue_efficiency": 0.2318, "S": 43, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 97.73, "edges_at_risk": 29, "mean_thickness": 1.442, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 0, "d_mean": 2.25, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,0)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(1,1)-(0,2)" ], "new_targets_created": [], "total_edges": 46, "position": [ 0, 2 ], "facing": "↙", "response_ms": 3299, "was_retry": false, "was_random": false, "note": "From [1,1] facing ↓, move ↙ to [0,2] [GREY] to navigate toward TARGET (0,5)-(1,4). Next step: from [0,2] move ↗ to reach [1,4] and complete the final target, reducing W from 2 to 1.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 102, "level": 6, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7101, "blue_efficiency": 0.2318, "S": 43, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 97.72, "edges_at_risk": 29, "mean_thickness": 1.442, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 0, "d_mean": 1.83, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,1)-(0,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,2)-(1,3)" ], "total_edges": 47, "position": [ 1, 3 ], "facing": "↘", "response_ms": 2503, "was_retry": false, "was_random": false, "note": "From [0,2] facing ↙, move ↘ to [1,3] [GREY] to continue navigating toward TARGET (0,5)-(1,4). Next: move ↘ again to reach [1,4] and complete the target edge, reducing W from 3 to 2.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.6 }, { "step": 103, "level": 6, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.2, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7083, "blue_efficiency": 0.2318, "S": 43, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 97.72, "edges_at_risk": 29, "mean_thickness": 1.442, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 0, "d_mean": 1.88, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,2)-(1,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,3)-(2,4)" ], "total_edges": 48, "position": [ 2, 4 ], "facing": "↘", "response_ms": 2994, "was_retry": false, "was_random": false, "note": "From [1,3] facing ↘, move ↘ to [1,4] [GREY] to reach the endpoint of TARGET (0,5)-(1,4). Next: move ← to [0,5] then ↓ to complete TARGET (0,5)-(1,4) [BLUE], reducing W from 4 to 3.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 0.8 }, { "step": 104, "level": 6, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.3, "epsilon_total": 0.5, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7066, "blue_efficiency": 0.2318, "S": 43, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 97.71, "edges_at_risk": 29, "mean_thickness": 1.442, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 0, "d_mean": 2.1, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,3)-(2,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,4)-(1,4)" ], "total_edges": 49, "position": [ 1, 4 ], "facing": "←", "response_ms": 2943, "was_retry": false, "was_random": false, "note": "From [2,4] facing ↘, move ← to [1,4] [GREY] to position at endpoint of TARGET (0,5)-(1,4). Next: from [1,4] move ↑ to [0,5] [BLUE] to complete TARGET (0,5)-(1,4), reducing W from 5 to 4.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 1.0 }, { "step": 105, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.3, "epsilon_total": 0.5, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7049, "blue_efficiency": 0.2318, "S": 43, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 97.7, "edges_at_risk": 29, "mean_thickness": 1.442, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6744, "d_min": 0, "d_mean": 1.83, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 49, "position": [ 0, 5 ], "facing": "↙", "response_ms": 3221, "was_retry": false, "was_random": false, "note": "From [1,4] facing ←, move ↙ to [0,5] [GREY] completes TARGET (0,5)-(1,4), reducing W from 6 to 5. Next: from [0,5], move to complete TARGET (0,2)-(1,3) by navigating through existing edges to avoid cr", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1 }, "target_stability": 1.0 }, { "step": 106, "level": 6, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7056, "blue_efficiency": 0.231, "S": 44, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 97.7, "edges_at_risk": 30, "mean_thickness": 1.432, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6818, "d_min": 0, "d_mean": 2.5, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 50, "position": [ 0, 6 ], "facing": "↓", "response_ms": 2867, "was_retry": false, "was_random": false, "note": "From [0,5] facing ↙, move ↓ to [0,6] [BLUE]. This is a new edge but necessary repositioning. Next: navigate via existing edges toward (0,2) to complete TARGET (0,2)-(1,3), reducing W.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1 }, "target_stability": 0.8 }, { "step": 107, "level": 6, "cycle": 1, "W": 7, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.4, "epsilon_total": 0.5, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7039, "blue_efficiency": 0.231, "S": 44, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 97.69, "edges_at_risk": 30, "mean_thickness": 1.432, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6818, "d_min": 1, "d_mean": 3.5, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,6)-(-1,5)" ], "total_edges": 51, "position": [ -1, 5 ], "facing": "↖", "response_ms": 2940, "was_retry": false, "was_random": false, "note": "From [0,6] facing ↓, move ↖ to [-1,5] [GREY] to navigate back toward target cluster. Next: from [-1,5], navigate through existing edges toward (0,2) to complete TARGET (0,2)-(1,3), reducing W from 6 t", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1 }, "target_stability": 0.6 }, { "step": 108, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.4, "epsilon_total": 0.5, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7046, "blue_efficiency": 0.2302, "S": 45, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 97.69, "edges_at_risk": 31, "mean_thickness": 1.422, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6889, "d_min": 0, "d_mean": 3.07, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,6)-(-1,5)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 52, "position": [ 0, 5 ], "facing": "→", "response_ms": 3318, "was_retry": false, "was_random": false, "note": "From [-1,5] facing ↖, move → to [0,5] [BLUE] completes TARGET (0,6)-(-1,5), reducing W from 7 to 6. Next: from [0,5], navigate through existing edges toward (1,3) to complete TARGET (0,2)-(1,3) and TA", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1 }, "target_stability": 0.6 }, { "step": 109, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.4, "epsilon_total": 0.5, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7029, "blue_efficiency": 0.2302, "S": 45, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 97.68, "edges_at_risk": 31, "mean_thickness": 1.422, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6889, "d_min": 0, "d_mean": 2.29, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 52, "position": [ 1, 4 ], "facing": "↗", "response_ms": 2371, "was_retry": false, "was_random": false, "note": "From [0,5] facing →, move ↗ to [1,4] [GREY] to navigate toward target (1,3)-(2,4). Next: from [1,4], move to complete TARGET (1,4)-(2,4), reducing W from 7 to 6.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1 }, "target_stability": 0.4 }, { "step": 110, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.1, "epsilon_active": 0.4, "epsilon_total": 0.5, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7012, "blue_efficiency": 0.2302, "S": 45, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 97.67, "edges_at_risk": 31, "mean_thickness": 1.422, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6889, "d_min": 0, "d_mean": 1.86, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 52, "position": [ 2, 4 ], "facing": "→", "response_ms": 3470, "was_retry": false, "was_random": false, "note": "From [1,4] facing ↗, move → to [2,4] [GREY] to reach position for completing TARGET (2,4)-(1,4). Next: from [2,4], move back ← to [1,4] [BLUE] to complete this target, reducing W from 7 to 6.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1 }, "target_stability": 0.4 }, { "step": 111, "level": 6, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7019, "blue_efficiency": 0.2295, "S": 46, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 97.67, "edges_at_risk": 32, "mean_thickness": 1.413, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,3)-(2,4)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 53, "position": [ 1, 5 ], "facing": "↙", "response_ms": 2829, "was_retry": false, "was_random": false, "note": "From [2,4] facing →, move ↙ to [1,4] [BLUE] completes TARGET (2,4)-(1,4), reducing W from 7 to 6. Next: from [1,4] facing ↙, navigate to complete TARGET (1,3)-(2,4) by moving to [1,3].", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1, "(2,4)-(1,5)": 1 }, "target_stability": 0.6 }, { "step": 112, "level": 6, "cycle": 1, "W": 8, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.7002, "blue_efficiency": 0.2295, "S": 46, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 97.66, "edges_at_risk": 32, "mean_thickness": 1.413, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 1, "d_mean": 2.57, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,5)-(1,6)" ], "total_edges": 54, "position": [ 1, 6 ], "facing": "↓", "response_ms": 2610, "was_retry": false, "was_random": false, "note": "From [1,4] facing ↙, move ↓ to [1,3] [GREY] to position for completing TARGET (0,2)-(1,3). Next: from [1,3], move ← to [0,2] [BLUE] to reduce W from 7 to 6.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1, "(2,4)-(1,5)": 1 }, "target_stability": 0.6 }, { "step": 113, "level": 6, "cycle": 1, "W": 9, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.6986, "blue_efficiency": 0.2295, "S": 46, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 97.66, "edges_at_risk": 32, "mean_thickness": 1.413, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 0, "d_mean": 3.06, "d_max": 7, "cost_access": 0, "nearest_edge": "(1,5)-(1,6)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,6)-(1,7)" ], "total_edges": 55, "position": [ 1, 7 ], "facing": "↓", "response_ms": 3286, "was_retry": false, "was_random": false, "note": "From [1,6] facing ↓, move ↓ to [1,7] [GREY] to navigate away from completed edges. Next priority: move toward TARGET (1,5)-(1,6) by returning to [1,6] then moving ↙ to [1,5] [BLUE] to reduce W from 8 ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1, "(2,4)-(1,5)": 1 }, "target_stability": 0.6 }, { "step": 114, "level": 6, "cycle": 1, "W": 10, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.6969, "blue_efficiency": 0.2295, "S": 46, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 97.65, "edges_at_risk": 32, "mean_thickness": 1.413, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 0, "d_mean": 3.67, "d_max": 8, "cost_access": 0, "nearest_edge": "(1,6)-(1,7)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,7)-(0,6)" ], "total_edges": 56, "position": [ 0, 6 ], "facing": "↖", "response_ms": 2785, "was_retry": false, "was_random": false, "note": "From [1,7] facing ↓, move ↖ to [0,6] [GREY] to reach TARGET (0,6)-(-1,5). Next: from [0,6] facing ↖, move ↙ to [-1,5] [BLUE] to complete this target and reduce W from 9 to 8.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1, "(2,4)-(1,5)": 1 }, "target_stability": 0.8 }, { "step": 115, "level": 6, "cycle": 1, "W": 10, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.6952, "blue_efficiency": 0.2295, "S": 46, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 97.64, "edges_at_risk": 32, "mean_thickness": 1.413, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6957, "d_min": 0, "d_mean": 2.5, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,6)-(-1,5)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 56, "position": [ -1, 5 ], "facing": "↖", "response_ms": 3424, "was_retry": false, "was_random": false, "note": "From [0,6] facing ↖, moved ↖ to [-1,5] [GREY] (completing edge (0,6)-(-1,5) already done). Next: from [-1,5], move → to [0,5] [BLUE] then ↗ to [1,5] [BLUE] then → to [1,6] [BLUE] to complete TARGET (1", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 1, "(2,4)-(1,5)": 1 }, "target_stability": 1.0 }, { "step": 116, "level": 6, "cycle": 1, "W": 10, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.696, "blue_efficiency": 0.2287, "S": 46, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 97.64, "edges_at_risk": 31, "mean_thickness": 1.435, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6739, "d_min": 0, "d_mean": 2.8, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,6)-(-1,5)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 56, "position": [ 0, 5 ], "facing": "→", "response_ms": 2615, "was_retry": false, "was_random": false, "note": "From [-1,5] facing ↖, move → to [0,5] [BLUE]. Next priority: from [0,5] facing →, move ↗ to [1,5] then → to [1,6] [BLUE] to complete TARGET (1,5)-(1,6) and reduce W to 9.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1 }, "target_stability": 0.8 }, { "step": 117, "level": 6, "cycle": 1, "W": 10, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6943, "blue_efficiency": 0.2287, "S": 46, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 97.63, "edges_at_risk": 31, "mean_thickness": 1.435, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6739, "d_min": 0, "d_mean": 2.2, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 56, "position": [ 1, 4 ], "facing": "↗", "response_ms": 2830, "was_retry": false, "was_random": false, "note": "From [0,5] facing →, moved ↗ to [1,5] [GREY]. Next: from [1,5] facing ↗, move ↘ to [1,6] [BLUE] to complete TARGET (1,5)-(1,6) and reduce W from 10 to 9.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1 }, "target_stability": 0.8 }, { "step": 118, "level": 6, "cycle": 1, "W": 11, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.6927, "blue_efficiency": 0.2287, "S": 46, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 97.63, "edges_at_risk": 31, "mean_thickness": 1.435, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6739, "d_min": 0, "d_mean": 1.95, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,4)-(1,5)" ], "total_edges": 57, "position": [ 1, 5 ], "facing": "↓", "response_ms": 2432, "was_retry": false, "was_random": false, "note": "From [1,4] facing ↗, moved ↓ to [1,5] [GREY]. Next: from [1,5], move → to [1,6] [BLUE] to complete TARGET (1,5)-(1,6), reducing W from 10 to 9.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1 }, "target_stability": 0.6 }, { "step": 119, "level": 6, "cycle": 1, "W": 11, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.691, "blue_efficiency": 0.2287, "S": 46, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 97.62, "edges_at_risk": 31, "mean_thickness": 1.435, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6739, "d_min": 0, "d_mean": 2.0, "d_max": 6, "cost_access": 0, "nearest_edge": "(1,5)-(1,6)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 57, "position": [ 1, 6 ], "facing": "↓", "response_ms": 3040, "was_retry": false, "was_random": false, "note": "From [1,5] facing ↓, moved ↓ to [1,6] [GREY] completing TARGET (1,5)-(1,6). Next: from [1,6] facing ↓, move ↓ to [1,7] [BLUE] to complete TARGET (1,6)-(1,7) reducing W from 10 to 9.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1 }, "target_stability": 0.6 }, { "step": 120, "level": 6, "cycle": 1, "W": 11, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.6894, "blue_efficiency": 0.2287, "S": 46, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 97.61, "edges_at_risk": 31, "mean_thickness": 1.435, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6739, "d_min": 0, "d_mean": 2.5, "d_max": 7, "cost_access": 0, "nearest_edge": "(1,5)-(1,6)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 57, "position": [ 1, 7 ], "facing": "↓", "response_ms": 2694, "was_retry": false, "was_random": false, "note": "From [1,6] facing ↓, moved ↓ to [1,7] [BLUE] completing TARGET (1,6)-(1,7), reducing W from 11 to 10. Next: from [1,7] facing ↓, move ↙ to [0,6] [BLUE] to complete TARGET (1,7)-(0,6) and reduce W to 9", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1 }, "target_stability": 0.6 }, { "step": 121, "level": 6, "cycle": 1, "W": 10, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.6901, "blue_efficiency": 0.2313, "S": 47, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 97.61, "edges_at_risk": 32, "mean_thickness": 1.426, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6809, "d_min": 0, "d_mean": 3.32, "d_max": 8, "cost_access": 0, "nearest_edge": "(1,6)-(1,7)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(1,7)-(0,6)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 57, "position": [ 0, 6 ], "facing": "↖", "response_ms": 3283, "was_retry": false, "was_random": false, "note": "From [1,7] facing ↓, moved ↖ to [0,6] [BLUE] completing TARGET (1,7)-(0,6), reducing W from 11 to 10. Next: from [0,6] facing ↖, move ↙ to [-1,5] [BLUE] to complete TARGET (0,6)-(-1,5) reducing W to 9", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1, "(1,7)-(0,6)": 1 }, "target_stability": 0.6 }, { "step": 122, "level": 6, "cycle": 1, "W": 10, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6885, "blue_efficiency": 0.2313, "S": 47, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 97.6, "edges_at_risk": 32, "mean_thickness": 1.426, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6809, "d_min": 0, "d_mean": 2.55, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,6)-(-1,5)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 57, "position": [ -1, 5 ], "facing": "↖", "response_ms": 4744, "was_retry": false, "was_random": false, "note": "From [0,6] facing ↖, moved ↖ to [-1,5] [GREY] on already completed edge (0,6)-(-1,5) with thickness=2, damaging it to thickness=1. Next: from [-1,5] facing ↖, must navigate to complete TARGET (0,5)-(1", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 2, "(2,4)-(1,5)": 1, "(1,7)-(0,6)": 1 }, "target_stability": 0.8 }, { "step": 123, "level": 6, "cycle": 1, "W": 11, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.6893, "blue_efficiency": 0.2305, "S": 46, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 97.6, "edges_at_risk": 31, "mean_thickness": 1.457, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6739, "d_min": 0, "d_mean": 2.8, "d_max": 7, "cost_access": 0, "nearest_edge": "(0,6)-(-1,5)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 57, "position": [ 0, 5 ], "facing": "→", "response_ms": 3125, "was_retry": false, "was_random": false, "note": "From [-1,5] facing ↖, moved → to [0,5] [BLUE] completing TARGET (0,5)-(-1,5) thickness now 3. Next: from [0,5] facing →, move ↘ to [1,4] [BLUE] to complete TARGET (0,5)-(1,4) reducing W to 9.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 3, "(2,4)-(1,5)": 1, "(1,7)-(0,6)": 1 }, "target_stability": 0.6 }, { "step": 124, "level": 6, "cycle": 1, "W": 11, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.69, "blue_efficiency": 0.2297, "S": 47, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 97.59, "edges_at_risk": 32, "mean_thickness": 1.447, "max_thickness": 6, "min_thickness": 1, "erosion_pressure": 0.6809, "d_min": 0, "d_mean": 2.36, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,5)-(1,4)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 58, "position": [ 1, 6 ], "facing": "↘", "response_ms": 2533, "was_retry": false, "was_random": false, "note": "From [0,5] facing →, moved ↘ to [1,4] [BLUE] completing TARGET (0,5)-(1,4) reducing W from 11 to 10. Next: from [1,4] facing ↘, move ↓ to [1,5] [BLUE] to complete TARGET (1,4)-(1,5) reducing W to 9.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 6, "(2,0)-(3,1)": 2, "(3,1)-(3,0)": 1, "(0,0)-(1,-1)": 2, "(1,-1)-(1,0)": 3, "(0,0)-(-1,-1)": 1, "(-1,-1)-(0,-1)": 1, "(0,-1)-(1,0)": 1, "(2,0)-(1,-1)": 1, "(2,0)-(3,-1)": 2, "(3,-1)-(3,0)": 1, "(3,1)-(2,1)": 2, "(3,1)-(3,2)": 1, "(3,2)-(2,2)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(-1,1)": 2, "(-1,1)-(-1,2)": 1, "(-1,2)-(0,1)": 2, "(0,1)-(0,0)": 2, "(0,0)-(1,1)": 1, "(0,2)-(-1,2)": 1, "(-1,2)-(-1,3)": 1, "(-1,3)-(0,4)": 1, "(0,4)-(0,5)": 1, "(0,5)-(-1,4)": 1, "(-1,4)-(-1,3)": 1, "(1,4)-(0,4)": 1, "(0,1)-(1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,2)": 1, "(1,2)-(2,1)": 2, "(-1,1)-(0,1)": 1, "(1,-1)-(2,-1)": 1, "(2,-1)-(3,0)": 2, "(3,-1)-(2,-1)": 2, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,1)-(1,2)": 1, "(0,5)-(0,6)": 1, "(-1,5)-(0,5)": 3, "(2,4)-(1,5)": 1, "(1,7)-(0,6)": 1, "(0,5)-(1,6)": 1 }, "target_stability": 0.8 } ], "trajectory_summary": { "total_steps": 429, "levels_in_trajectory": 5, "W_initial": 3, "W_final": 11, "W_min": 0, "W_max": 11, "W_mean": 3.4, "total_edges_colored": 69, "total_edges_reverted": 25, "total_targets_created": 55, "expansion_steps": 43, "B_initial": 7, "B_final": 5, "B_min": 3, "B_max": 7, "B_mean": 6.75, "B_collapse_step": null, "rho_eff_mean": 0.1469, "rho_eff_final": 0.1, "epsilon_passive_mean": 0.0564, "epsilon_active_mean": 0.2108, "epsilon_total_mean": 0.2672, "rho_eq_epsilon_step": 26, "dW_positive_count": 59, "dW_negative_count": 68, "dW_zero_count": 302, "dW_mean": -0.0163, "blue_total": 296, "grey_total": 133, "blue_pct": 69.0, "w_reductions_total": 68, "blue_efficiency": 0.2297, "erosion_pressure_mean": 0.7314, "erosion_pressure_max": 1.0, "W_inflection_step": 34, "B_W_correlation": -0.0283, "d_min_mean": 0.4, "d_min_max": 3, "d_min_spike_step": 20, "d_min_at_W1": 0, "d_W_correlation": -0.0945, "cost_access_mean": 0.1, "cost_access_max": 1, "cost_spike_step": null, "cost_at_W1": 0, "cost_W_correlation": 0.0184, "dw_pos_ratio_when_far": 1.0, "target_switch_count": 232, "mean_B_at_switch": 6.7, "switch_to_drift_ratio": 0.349, "target_stability_mean": 0.535, "target_stability_max": 1.0, "target_instability_step": 5, "phases": [ { "start_step": 4, "end_step": 5, "n_steps": 85, "mean_dW": -0.035, "mean_B": 6.88, "mean_rho_eff": 0.1526, "mean_eps_passive": 0.0694, "mean_eps_active": 0.2198, "mean_rho_minus_eps": -0.1366, "mean_erosion_pressure": 0.6865, "blue_count": 62, "grey_count": 23, "w_reductions": 14, "expansions": 11, "reversions": 6, "mean_d_min": 0.48, "mean_cost_access": 0.12 }, { "start_step": 6, "end_step": 27, "n_steps": 85, "mean_dW": -0.082, "mean_B": 6.84, "mean_rho_eff": 0.1572, "mean_eps_passive": 0.0353, "mean_eps_active": 0.3174, "mean_rho_minus_eps": -0.1954, "mean_erosion_pressure": 0.8284, "blue_count": 59, "grey_count": 26, "w_reductions": 15, "expansions": 11, "reversions": 3, "mean_d_min": 0.35, "mean_cost_access": 0.08 }, { "start_step": 28, "end_step": 54, "n_steps": 85, "mean_dW": -0.024, "mean_B": 6.59, "mean_rho_eff": 0.1165, "mean_eps_passive": 0.0353, "mean_eps_active": 0.1721, "mean_rho_minus_eps": -0.091, "mean_erosion_pressure": 0.6613, "blue_count": 58, "grey_count": 27, "w_reductions": 11, "expansions": 9, "reversions": 3, "mean_d_min": 0.33, "mean_cost_access": 0.07 }, { "start_step": 55, "end_step": 35, "n_steps": 85, "mean_dW": -0.035, "mean_B": 6.76, "mean_rho_eff": 0.1703, "mean_eps_passive": 0.068, "mean_eps_active": 0.2052, "mean_rho_minus_eps": -0.1029, "mean_erosion_pressure": 0.7501, "blue_count": 58, "grey_count": 27, "w_reductions": 16, "expansions": 11, "reversions": 6, "mean_d_min": 0.34, "mean_cost_access": 0.14 }, { "start_step": 36, "end_step": 120, "n_steps": 85, "mean_dW": 0.094, "mean_B": 6.72, "mean_rho_eff": 0.14, "mean_eps_passive": 0.0741, "mean_eps_active": 0.1376, "mean_rho_minus_eps": -0.0718, "mean_erosion_pressure": 0.7332, "blue_count": 56, "grey_count": 29, "w_reductions": 11, "expansions": 13, "reversions": 6, "mean_d_min": 0.51, "mean_cost_access": 0.09 }, { "start_step": 121, "end_step": 124, "n_steps": 4, "mean_dW": 0, "mean_B": 6, "mean_rho_eff": 0.1, "mean_eps_passive": 0.05, "mean_eps_active": 0.25, "mean_rho_minus_eps": -0.2, "mean_erosion_pressure": 0.6791, "blue_count": 3, "grey_count": 1, "w_reductions": 1, "expansions": 0, "reversions": 1, "mean_d_min": 0, "mean_cost_access": 0 } ], "retry_count": 10, "random_fallback_count": 3, "first_pass_valid_pct": 97.7, "mean_response_ms": 3256.5 } }, { "run_id": "25521bcc", "runner_version": "4.4", "timestamp": "2026-03-04T15:26:57.486803", "provider": "anthropic_sonnet", "model": "claude-sonnet-4-5-20250929", "condition": "OFF", "experiment": "v4.4_bridge_paired", "bridge_enabled": false, "bridge_prompt": null, "max_tokens_base": 200, "token_budget_controlled": true, "termination_reason": "drift", "final_cycle": 1, "final_level": 1, "total_steps": 23, "final_oxygen": 99.9, "total_tokens_in": 22130, "total_tokens_out": 4001, "total_cache_read": 0, "total_retries": 1, "shapes_count": 0, "shapes": [], "bridge_stats": {}, "notes_history": [], "trajectory": [ { "step": 4, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 3, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 3.0, "epsilon_total": 3.0, "rho_minus_epsilon": -3.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 34, "oxygen_pct": 100, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,0)", "(2,0)-(3,0)", "(1,0)-(2,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 6885, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0, "S": 2, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 100, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2852, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 1.0, "blue_efficiency": 0.3333, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 100, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "→", "response_ms": 5447, "was_retry": false, "was_random": false, "note": "Current position: [1, 0] facing ↖ Target edges to complete: 1. (0,0)-(1,0) - I'm at [1,0], can reach this 2. (1,0)-(2,0) - I'm at [1,0], can reach this 3. (2,0)-(3,0) - Need to get to [2,0] first The ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.75, "blue_efficiency": 0.3333, "S": 3, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 100, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 3, 0 ], "facing": "→", "response_ms": 5532, "was_retry": false, "was_random": false, "note": "Current position: [2, 0] facing → Targets: - (0,0)-(1,0) - to my left/west - (2,0)-(3,0) - directly ahead to my right/east Available moves analysis: - → to [3, 0] is [GREY] - this would cross the targ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.8, "blue_efficiency": 0.25, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.99, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 1 ], "facing": "↙", "response_ms": 5752, "was_retry": false, "was_random": false, "note": "TARGET edges: - (0,0)-(1,0) - (2,0)-(3,0) Current position: [3,0] The target (2,0)-(3,0) connects my current position [3,0] to [2,0]. Looking at the available moves, ↙ goes to [2,1], not [2,0]. Let me", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 9, "level": 1, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.6667, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.25, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.99, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,1)-(1,2)" ], "total_edges": 6, "position": [ 1, 2 ], "facing": "↙", "response_ms": 5917, "was_retry": false, "was_random": false, "note": "- W = 2 (two non-completed target edges to finish) - TARGET edges: (0,0)-(1,0) and (2,0)-(3,0) - DONE edges: (1,0)-(2,0), (3,0)-(2,1), (2,1)-(1,0) **Target Analysis:** 1. Target (0,0)-(1,0): I need to", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 1, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.7143, "epsilon_total": 0.7143, "rho_minus_epsilon": -0.5714, "blue_ratio_cum": 0.5714, "blue_efficiency": 0.25, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.98, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 2.17, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,2)-(0,3)" ], "total_edges": 7, "position": [ 0, 3 ], "facing": "↙", "response_ms": 4821, "was_retry": false, "was_random": false, "note": "**Target Edges (non-completed):** 1. (0,0)-(1,0) 2. (2,0)-(3,0) 3. (2,1)-(1,2) **Completed Edges:** 1. (1,0)-(2,0) thickness=1 2. (3,0)-(2,1) thickness=2 3. (2,1)-(1,0) thickness=1 **Available Moves A", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 11, "level": 1, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.125, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.625, "blue_ratio_cum": 0.5, "blue_efficiency": 0.25, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.98, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 2.38, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,2)-(0,3)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,3)-(-1,4)" ], "total_edges": 8, "position": [ -1, 4 ], "facing": "↙", "response_ms": 4845, "was_retry": false, "was_random": false, "note": "- W: 4 (4 non-completed target edges remaining) - DONE: 3 edges with various thickness **Targets to complete:** 1. (0,0)-(1,0) 2. (2,0)-(3,0) 3. (2,1)-(1,2) 4. (1,2)-(0,3) **My position [0,3] and targ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 12, "level": 1, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1111, "epsilon_passive": 0.0, "epsilon_active": 0.7778, "epsilon_total": 0.7778, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.4444, "blue_efficiency": 0.25, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.97, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 3.7, "d_max": 6, "cost_access": 0, "nearest_edge": "(0,3)-(-1,4)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-1,4)-(-2,5)" ], "total_edges": 9, "position": [ -2, 5 ], "facing": "↙", "response_ms": 5210, "was_retry": false, "was_random": false, "note": "- W=5 (5 uncompleted target edges) - Target edges that need completion: 1. (0,0)-(1,0) 2. (2,0)-(3,0) 3. (2,1)-(1,2) 4. (1,2)-(0,3) 5. (0,3)-(-1,4) ← This is adjacent to my current position! **Key Obs", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 13, "level": 1, "cycle": 1, "W": 7, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.7, "blue_ratio_cum": 0.4, "blue_efficiency": 0.25, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.96, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 4.0, "d_max": 7, "cost_access": 0, "nearest_edge": "(-1,4)-(-2,5)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-2,5)-(-3,6)" ], "total_edges": 10, "position": [ -3, 6 ], "facing": "↙", "response_ms": 5711, "was_retry": false, "was_random": false, "note": "- W: 6 (6 non-completed target edges) - Next target to complete: (-1,4)-(-2,5) - this is the edge leading TO my current position **Available Moves Analysis:** - **BLUE moves** (← ↖ ↑): These would com", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 14, "level": 1, "cycle": 1, "W": 7, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.4545, "blue_efficiency": 0.2, "S": 4, "arrow": "←", "is_blue": true, "first_pass_valid": false, "bite_in": 24, "oxygen_pct": 99.96, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 5.29, "d_max": 9, "cost_access": 0, "nearest_edge": "(-2,5)-(-3,6)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ -4, 6 ], "facing": "←", "response_ms": 6033, "was_retry": true, "was_random": false, "note": "", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 1.0 }, { "step": 15, "level": 1, "cycle": 1, "W": 8, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.4167, "blue_efficiency": 0.2, "S": 4, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.95, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 5.36, "d_max": 9, "cost_access": 0, "nearest_edge": "(-2,5)-(-3,6)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-4,6)-(-5,6)" ], "total_edges": 12, "position": [ -5, 6 ], "facing": "←", "response_ms": 4345, "was_retry": false, "was_random": false, "note": "- W: 7 (7 non-completed target edges) - BITE in 24 steps **Target Edges to Complete:** 1. (0,0)-(1,0) 2. (2,0)-(3,0) 3. (2,1)-(1,2) 4. (1,2)-(0,3) 5. (0,3)-(-1,4) 6. (-1,4)-(-2,5) 7. (-2,5)-(-3,6) **C", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 0.8 }, { "step": 16, "level": 1, "cycle": 1, "W": 9, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.7, "epsilon_total": 0.7, "rho_minus_epsilon": -0.7, "blue_ratio_cum": 0.3846, "blue_efficiency": 0.2, "S": 4, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.95, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 5.62, "d_max": 10, "cost_access": 0, "nearest_edge": "(-4,6)-(-5,6)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-5,6)-(-6,6)" ], "total_edges": 13, "position": [ -6, 6 ], "facing": "←", "response_ms": 6090, "was_retry": false, "was_random": false, "note": "- W: 8 (8 non-completed target edges) - There's a DONE edge from (-3,6) to (-4,6) with thickness=1 - Target edge from (-4,6) to (-5,6) — this is where I currently am! **Target Analysis:** The closest ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 0.8 }, { "step": 17, "level": 1, "cycle": 1, "W": 10, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.8, "blue_ratio_cum": 0.3571, "blue_efficiency": 0.2, "S": 4, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.94, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 5.44, "d_max": 10, "cost_access": 0, "nearest_edge": "(-5,6)-(-6,6)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-6,6)-(-7,6)" ], "total_edges": 14, "position": [ -7, 6 ], "facing": "←", "response_ms": 5485, "was_retry": false, "was_random": false, "note": "- W: 9 (9 non-completed target edges) - The target (-5,6)-(-6,6) is right where I am! **Available Moves Analysis:** - Most moves are [GREY] which won't reduce W - Three [BLUE] moves: ↖, ↑, ↗ **Key Obs", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 0.8 }, { "step": 18, "level": 1, "cycle": 1, "W": 11, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 5, "B_blue": 2, "B_grey": 3, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.9, "epsilon_total": 0.9, "rho_minus_epsilon": -0.9, "blue_ratio_cum": 0.3333, "blue_efficiency": 0.2, "S": 4, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.93, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 5.85, "d_max": 11, "cost_access": 0, "nearest_edge": "(-6,6)-(-7,6)", "target_switch": true, "B_at_switch": 5, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-7,6)-(-8,6)" ], "total_edges": 15, "position": [ -8, 6 ], "facing": "←", "response_ms": 6596, "was_retry": false, "was_random": false, "note": "- W=10 (10 non-completed target edges) - I'm at the end of a chain of targets: (-6,6)-(-7,6) is a TARGET edge **Key Observations:** 1. I'm currently ON a target edge endpoint at [-7, 6] 2. The target ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 0.8 }, { "step": 19, "level": 1, "cycle": 1, "W": 12, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.9, "epsilon_total": 0.9, "rho_minus_epsilon": -0.9, "blue_ratio_cum": 0.3125, "blue_efficiency": 0.2, "S": 4, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.93, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 6.05, "d_max": 11, "cost_access": 0, "nearest_edge": "(-7,6)-(-8,6)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-8,6)-(-7,7)" ], "total_edges": 16, "position": [ -7, 7 ], "facing": "↘", "response_ms": 5747, "was_retry": false, "was_random": false, "note": "**Current Position:** [-8, 6] facing ← **W = 11** (11 non-completed target edges) **Goal:** Reduce W by completing target edges **Available Moves:** - ↘, ↓, ↙ are all [GREY] - they won't reduce W - ↑ ", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 1.0 }, { "step": 20, "level": 1, "cycle": 1, "W": 13, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.9, "epsilon_total": 0.9, "rho_minus_epsilon": -0.9, "blue_ratio_cum": 0.2941, "blue_efficiency": 0.2, "S": 4, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.92, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 5.58, "d_max": 12, "cost_access": 0, "nearest_edge": "(-8,6)-(-7,7)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-7,7)-(-6,8)" ], "total_edges": 17, "position": [ -6, 8 ], "facing": "↘", "response_ms": 6188, "was_retry": false, "was_random": false, "note": "**Current Position:** [-7, 7] facing ↘ **Goal:** Reduce W from 12 to 0 by completing target edges **Key Observations:** 1. I'm at [-7, 7] and there's a target edge (-8,6)-(-7,7) - this means moving fr", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1 }, "target_stability": 1.0 }, { "step": 21, "level": 1, "cycle": 1, "W": 13, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.8, "blue_ratio_cum": 0.3333, "blue_efficiency": 0.1667, "S": 5, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.92, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 5.35, "d_max": 12, "cost_access": 0, "nearest_edge": "(-7,7)-(-6,8)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ -5, 8 ], "facing": "→", "response_ms": 4998, "was_retry": false, "was_random": false, "note": "**Current Position:** [-6, 8] facing ↘ **Goal:** Reduce W from 13 to 0 **Key Observations:** 1. I'm at [-6, 8] and there's a TARGET edge (-7,7)-(-6,8) - this means I can complete this edge by moving F", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1, "(-6,8)-(-5,8)": 1 }, "target_stability": 1.0 }, { "step": 22, "level": 1, "cycle": 1, "W": 14, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.8, "blue_ratio_cum": 0.3158, "blue_efficiency": 0.1667, "S": 5, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.91, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 5.69, "d_max": 12, "cost_access": 0, "nearest_edge": "(-7,7)-(-6,8)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-5,8)-(-4,8)" ], "total_edges": 19, "position": [ -4, 8 ], "facing": "→", "response_ms": 6570, "was_retry": false, "was_random": false, "note": "- W=13 (13 non-completed target edges) - I have a DONE edge at (-6,8)-(-5,8) with thickness=1 **Available Moves Analysis:** Looking at the targets, I need to work towards completing them. Let me ident", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1, "(-6,8)-(-5,8)": 1 }, "target_stability": 0.8 }, { "step": 23, "level": 1, "cycle": 1, "W": 15, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.8, "blue_ratio_cum": 0.3, "blue_efficiency": 0.1667, "S": 5, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.9, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 4.89, "d_max": 11, "cost_access": 0, "nearest_edge": "(-5,8)-(-4,8)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(-4,8)-(-3,8)" ], "total_edges": 20, "position": [ -3, 8 ], "facing": "→", "response_ms": 6316, "was_retry": false, "was_random": false, "note": "- W: 14 (14 non-completed target edges) - There's a completed edge from (-6,8) to (-5,8) with thickness=1 - There's a TARGET edge from (-5,8) to (-4,8) - this is right where I am! **Available Moves An", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 1, "(-3,6)-(-4,6)": 1, "(-6,8)-(-5,8)": 1 }, "target_stability": 0.8 } ], "trajectory_summary": { "total_steps": 20, "levels_in_trajectory": 0, "W_initial": 3, "W_final": 15, "W_min": 2, "W_max": 15, "W_mean": 7.45, "total_edges_colored": 1, "total_edges_reverted": 0, "total_targets_created": 16, "expansion_steps": 14, "B_initial": 7, "B_final": 7, "B_min": 5, "B_max": 7, "B_mean": 6.85, "B_collapse_step": null, "rho_eff_mean": 0.0814, "rho_eff_final": 0.0, "epsilon_passive_mean": 0.0, "epsilon_active_mean": 0.9129, "epsilon_total_mean": 0.9129, "rho_eq_epsilon_step": 14, "dW_positive_count": 13, "dW_negative_count": 1, "dW_zero_count": 6, "dW_mean": 0.6, "blue_total": 6, "grey_total": 14, "blue_pct": 30.0, "w_reductions_total": 1, "blue_efficiency": 0.1667, "erosion_pressure_mean": 0.7825, "erosion_pressure_max": 1.0, "W_inflection_step": 7, "B_W_correlation": -0.1614, "d_min_mean": 0.2, "d_min_max": 1, "d_min_spike_step": null, "d_min_at_W1": null, "d_W_correlation": -0.0521, "cost_access_mean": 0, "cost_access_max": 0, "cost_spike_step": null, "cost_at_W1": null, "cost_W_correlation": null, "dw_pos_ratio_when_far": null, "target_switch_count": 15, "mean_B_at_switch": 6.8, "switch_to_drift_ratio": 0.867, "target_stability_mean": 0.798, "target_stability_max": 1.0, "target_instability_step": 5, "phases": [ { "start_step": 4, "end_step": 8, "n_steps": 5, "mean_dW": -0.2, "mean_B": 7, "mean_rho_eff": 0.1567, "mean_eps_passive": 0.0, "mean_eps_active": 1.37, "mean_rho_minus_eps": -1.2133, "mean_erosion_pressure": 0.9333, "blue_count": 4, "grey_count": 1, "w_reductions": 1, "expansions": 3, "reversions": 0, "mean_d_min": 0.2, "mean_cost_access": 0 }, { "start_step": 9, "end_step": 13, "n_steps": 5, "mean_dW": 1, "mean_B": 6.8, "mean_rho_eff": 0.1291, "mean_eps_passive": 0.0, "mean_eps_active": 0.7418, "mean_rho_minus_eps": -0.6126, "mean_erosion_pressure": 0.6667, "blue_count": 0, "grey_count": 5, "w_reductions": 0, "expansions": 5, "reversions": 0, "mean_d_min": 0.2, "mean_cost_access": 0 }, { "start_step": 14, "end_step": 18, "n_steps": 5, "mean_dW": 0.8, "mean_B": 6.6, "mean_rho_eff": 0.04, "mean_eps_passive": 0.0, "mean_eps_active": 0.7, "mean_rho_minus_eps": -0.66, "mean_erosion_pressure": 0.75, "blue_count": 1, "grey_count": 4, "w_reductions": 0, "expansions": 4, "reversions": 0, "mean_d_min": 0.2, "mean_cost_access": 0 }, { "start_step": 19, "end_step": 23, "n_steps": 5, "mean_dW": 0.8, "mean_B": 7, "mean_rho_eff": 0.0, "mean_eps_passive": 0.0, "mean_eps_active": 0.84, "mean_rho_minus_eps": -0.84, "mean_erosion_pressure": 0.78, "blue_count": 1, "grey_count": 4, "w_reductions": 0, "expansions": 4, "reversions": 0, "mean_d_min": 0.2, "mean_cost_access": 0 } ], "retry_count": 1, "random_fallback_count": 0, "first_pass_valid_pct": 95.0, "mean_response_ms": 5567 } } ]