[
  {
    "run_id": "225f64d5",
    "runner_version": "4.4",
    "timestamp": "2026-03-04T09:04:28.619349",
    "provider": "anthropic",
    "model": "claude-haiku-4-5-20251001",
    "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": "drift",
    "final_cycle": 1,
    "final_level": 1,
    "total_steps": 88,
    "final_oxygen": 99.52,
    "total_tokens_in": 168555,
    "total_tokens_out": 13034,
    "total_cache_read": 0,
    "total_retries": 1,
    "shapes_count": 0,
    "shapes": [],
    "bridge_stats": {
      "total_moves": 85,
      "blue_moves": 61,
      "grey_moves": 24,
      "blue_pct": 71.8,
      "max_grey_streak": 2,
      "w_max": 22,
      "w_min": 2,
      "w_final": 22,
      "levels_cleared": 0,
      "notes_sample": [
        "**Current position:** [-6, 10] facing ↙ **W: 21** (need to reduce urgently, BITE",
        "**Current state:** W=21, BITE in 22, position [-5, 11] facing ↙ **Analysis of [B",
        "**Current state:** W=21, BITE in 21, position [-4, 11] facing → **Analysis of av"
      ]
    },
    "notes_history": [
      {
        "step": 4,
        "text": "Move ↙ to [2,1] is BLUE and moves toward target (1,0)-(2,0); will complete it next turn. W will drop from 3→2."
      },
      {
        "step": 5,
        "text": "Move ↖ to [1,0] is BLUE and completes target (1,0)-(2,0). W drops from 3→2. This position also reaches target (0,0)-(1,0) next turn via ← for another BLUE move, dropping W to 1."
      },
      {
        "step": 6,
        "text": "Move → to [2,0] is BLUE and completes target (1,0)-(2,0). W drops 3→2. From [2,0], can move ← to [1,0] for BLUE on target (0,0)-(1,0), dropping W to 1. Then ← again to [0,0] for BLUE on final target (2,0)-(3,0), winning with W=0."
      },
      {
        "step": 7,
        "text": "Move ↖ to [1,-1] is GREY; positions me to reach target (0,0)-(1,0) via ← next turn. From [1,-1], moving ← goes to [0,0], and moving ← again reaches [1,0] where I can color (0,0)-(1,0) BLUE. This GREY move costs O2 but enables the final W reductions needed to win. K-memory constraint: avoid repeating the last direction sequence."
      },
      {
        "step": 8,
        "text": "Move ↓ to [1,0] is BLUE on target (0,0)-(1,0), reducing W from 3→2. From [1,0], can then move ← to [0,0] for BLUE on target (2,0)-(1,-1), reducing W to 1. Final target (2,0)-(3,0) reachable after. Direct path to victory—no wasted GREY moves."
      },
      {
        "step": 9,
        "text": "Move ↓ to [1,1] is GREY—reposition toward uncompleted targets. From [1,1], next turn can move ← to [0,0] for BLUE on target (0,0)-(1,0) to reduce W from 3→2. Then reach remaining targets (2,0)-(3,0) and (2,0)-(1,-1) to win. Grey repositioning now avoids dead ends and ensures final W=0."
      },
      {
        "step": 10,
        "text": "- W = 4 (four uncompleted targets) - Available targets: (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1), (1,0)-(1,1) - BITE in 29 steps **Analyzing Available Moves:** The notes suggest moving ↓ to [1,1] was GREY, but I'm already at [1,1]. Let me look at what actually reduces W: 1. **→ [2,1] [BLUE]** - This crosses an existing DONE edge (1,0)-(2,0) in reverse? No, moving from [1,1] to [2,1] crosses (1,1)-(2,1). This isn't a"
      },
      {
        "step": 11,
        "text": "Move ↗ to [2,1] [BLUE] completes target (1,0)-(1,1), reducing W from 5→4. From [2,1], next turn can move ↙ to [1,0] then ↙ to [0,0] to complete (0,0)-(1,0), then reach (2,0)-(3,0) and (2,0)-(1,-1). Direct path to W=0 without creating new targets via GREY moves."
      },
      {
        "step": 12,
        "text": "Move ↑ to [2,0] is BLUE—completes target (2,0)-(3,0), reducing W from 5→4. This is the second-closest uncompleted target. From [2,0] facing ↑, next turn can move ↘ to [3,0] to complete (2,0)-(3,0) if not yet done, or pivot toward (2,0)-(1,-1) and (0,0)-(1,0). BITE in 27 means we have time. Prioritize BLUE moves that reduce W."
      },
      {
        "step": 13,
        "text": "Move ↙ to [1,1] is BLUE—completes target (1,0)-(1,1), reducing W from 5→4. From [1,1], next turn can move ↙ to [0,0] to then complete (0,0)-(1,0), then pivot toward remaining targets (2,0)-(3,0) and (2,0)-(1,-1). Stay focused on BLUE moves that reduce W; BITE in 26 leaves time if we act decisively."
      },
      {
        "step": 14,
        "text": "- BITE in 25 (reasonable time buffer) - All BLUE moves available reduce W by 1 **Analyzing the three BLUE options:** 1. **→ to [2,1] [BLUE]**: Edge (1,1)-(2,1) - not a target. Does NOT reduce W. 2. **↘ to [2,2] [BLUE]**: Edge (1,1)-(2,2) - not a target. Does NOT reduce W. 3. **↓ to [1,2] [BLUE]**: Edge (1,1)-(1,2) - **IS a target!** Reduces W by 1. The critical principle from earlier notes"
      },
      {
        "step": 15,
        "text": "Move ↓ to [0, 3] completes target (1,1)-(1,2), reducing W from 6→5. This is the ONLY available move that reduces W. All other BLUE moves create new edges that are not targets (waste steps). After this move, reposition toward (1,1)-(0,2) or (0,0)-(1,0) to continue reducing W. BITE in 24 is tight—every move must reduce W or enable the next BLUE move that does."
      },
      {
        "step": 16,
        "text": "Move ↗ to [1,2] completes target (1,1)-(0,2), reducing W from 6→5. This is the ONLY available BLUE move that reduces W immediately. From [1,2], next turn reposition toward remaining targets (0,0)-(1,0) and (2,0)-(3,0) or (2,0)-(1,-1). BITE in 23 is critical—every move must reduce W or set up the next W-reducing BLUE move."
      },
      {
        "step": 17,
        "text": "Move ↑ to [1,1] completes target (1,0)-(1,1), reducing W from 6→5. This is the ONLY BLUE move that reduces W from current position. After this move, reposition toward (0,0)-(1,0) or (2,0)-(3,0) to continue reducing W. BITE in 22 is critical—must reduce W every turn or every other turn at minimum."
      },
      {
        "step": 18,
        "text": "Move ↑ to [1,0] completes target (1,0)-(1,1), reducing W from 5→4. This is the ONLY available BLUE move that reduces W immediately. After this move, reposition toward (0,0)-(1,0) or (2,0)-(3,0). BITE in 21 is critical—must reduce W every turn or risk losing thickness. All other moves are either GREY repositioning or create new non-target edges (waste steps)."
      },
      {
        "step": 19,
        "text": "Move ↙ to [0,1] is BLUE and completes target (0,0)-(1,0), reducing W from 5→4. This is the ONLY available BLUE move that reduces W immediately. After this, reposition toward remaining targets (2,0)-(3,0) or (2,0)-(1,-1). BITE in 19 is critical—must continue reducing W every turn."
      },
      {
        "step": 20,
        "text": "Move ↙ to [0,1] completes target (0,0)-(1,0), reducing W from 5→4. This is the ONLY available BLUE move that reduces W. After this, must reposition toward (2,0)-(3,0) or (2,0)-(1,-1). BITE in 19 means we MUST reduce W every turn—no slack. Next move must reach one of these two remaining targets."
      },
      {
        "step": 21,
        "text": "- W: 6 (6 non-completed target edges remain) - BITE in 18 (very urgent) - Available moves: 3 BLUE, 4 GREY **Analyzing BLUE moves (the only ones that reduce W):** 1. → to [0, 2]: [BLUE] — which target does this complete? 2. ↘ to [0, 3]: [BLUE] — which target does this complete? 3. ↓ to [-1, 3]: [BLUE] — which target does this complete? **Looking at remaining targets:** - (0,0)-(1,0) — edge between (0,0) and (1,0) - (2,0)-(3,0) — edge between ("
      },
      {
        "step": 22,
        "text": "Move → to [-1,3] is [BLUE] and completes target (0,1)-(-1,2), reducing W from 7→6. BITE in 17 is critical—must reduce W every single turn. After this move, reposition toward remaining 6 targets: focus on (2,0)-(3,0) and (2,0)-(1,-1) which are farthest. Grey moves allowed only if they enable a blue move next turn that reduces W."
      },
      {
        "step": 23,
        "text": "Move ↖ to [-2,2] is [BLUE] and completes target (-1,2)-(-2,3), reducing W from 7→6. BITE in 16 is critical—must reduce W every turn with no wasted steps. After this, reposition towards (2,0)-(3,0) or (2,0)-(1,-1) which are the farthest remaining targets. Every grey move must enable a blue reduction next turn."
      },
      {
        "step": 24,
        "text": "Move [BLUE] to [-2,3] completes target (-1,2)-(-2,3), reducing W from 7→6. BITE in 15 is critical—must reduce W every turn. After this, reposition east toward (2,0)-(3,0) and (2,0)-(1,-1) using grey moves only if they enable blue reductions. No wasted steps."
      },
      {
        "step": 25,
        "text": "- W: 7 (7 targets not completed) - BITE in 14 steps - Available moves: 3 BLUE, 4 GREY **Target Analysis:** Remaining uncompleted targets: 1. (0,0)-(1,0) 2. (2,0)-(3,0) — farthest east 3. (2,0)-(1,-1) 4. (1,0)-(1,1) 5. (1,1)-(0,2) 6. (0,1)-(-1,2) 7. (-1,2)-(-2,3) **Blue Moves Available:** - → to [-1,3]: completes (0,1)-(-1,2) ✓ reduces W -"
      },
      {
        "step": 26,
        "text": "Move ↗ to [-1,3] is [BLUE], completes target (0,1)-(-1,2), reduces W from 8→7. BITE in 13 is critical. After this, reposition south/southeast toward (0,0)-(1,0), (2,0)-(3,0), and (2,0)-(1,-1) cluster. Every turn must reduce W or enable blue reduction next turn. No wasted grey moves."
      },
      {
        "step": 27,
        "text": "Move [BLUE] to [-2,2] completes target (-1,2)-(-2,3), reducing W from 8→7. BITE in 12 is critical—must reduce W every turn. After this, reposition toward the (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1) cluster using available blue moves. No grey-only moves until all remaining targets near current position are exhausted."
      },
      {
        "step": 28,
        "text": "Move [BLUE] to [-2,3] completes target (-1,2)-(-2,3), reducing W from 8→7. BITE in 10 is critical. After this, reposition toward remaining targets in the southeast using the [BLUE] ↖ move to [-2,1], which positions for reaching the (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1) cluster. Every turn must reduce W; no wasted moves."
      },
      {
        "step": 29,
        "text": "Move [BLUE] to [-2,4] completes target (-2,3)-(-2,4), reducing W from 7→6. BITE in 9 is critical. After this, must reposition southeast toward (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1) cluster. Every turn must reduce W or enable blue reduction next turn. No grey moves unless all local blue targets exhausted."
      },
      {
        "step": 30,
        "text": "- Current position: [-2, 4], facing ↓ - W = 6, BITE in 9 (critical pressure) - I have 3 BLUE moves available: → (↘), ↘ (→), ↗ (→) **Analysis:** The BLUE moves are: 1. **→** to [-1, 4]: This path likely hits target (0,1)-(-1,2) or another uncompleted edge 2. **↘** to [-1, 5]: Creates new edge (moves away from core targets) 3. **↗** to [-1, 3]: Connects via (-1,3)-(-1,2) which is already DONE—pure repositioning toward the main target cluster at (0,0), (1,0), (2,0) The → move is eastbound, moving me closer to the dense target cluster"
      },
      {
        "step": 31,
        "text": "BLUE move to [-1,3] completes target (0,1)-(-1,2) or enables fast access to remaining southeast targets (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1). W must drop by step 31. BITE in 8 is critical—only blue moves count now."
      },
      {
        "step": 32,
        "text": "BLUE move to [-2,4] completes target (-1,2)-(-2,3) (adjacent to current position [-1,3]), reducing W from 6→5. After this, must reposition directly toward (0,0)-(1,0) cluster using grey moves if needed. BITE in 6 is critical—every remaining move must either be BLUE that reduces W or grey that enables imminent BLUE reduction. No wasted repositioning."
      },
      {
        "step": 33,
        "text": "Move BLUE to [-1, 4]. This edge connects toward the remaining target cluster at (0,0)-(1,0)-(2,0). W must drop this turn. After reaching [-1, 4], reposition east toward (0,0) core targets using grey moves if blocked. BITE in 6 is critical—only blue moves that reduce W and grey moves that enable immediate blue progress are safe."
      },
      {
        "step": 34,
        "text": "BLUE move to [-1,3] completes target (0,1)-(-1,2). W drops 6→5. After this, must reposition directly east toward (0,0)-(1,0)-(2,0) cluster using grey moves. BITE in 4 is critical—every remaining move must reduce W or enable imminent BLUE that reduces W."
      },
      {
        "step": 35,
        "text": "- W: 6 (six incomplete targets remain) - BITE in 4 steps (very urgent) - Available moves: 3 BLUE, 4 GREY **Remaining targets:** 1. (0,0)-(1,0) 2. (2,0)-(3,0) 3. (2,0)-(1,-1) 4. (1,0)-(1,1) 5. (1,1)-(0,2) 6. (0,1)-(-1,2) **Analysis of BLUE moves:** - ↙ → [-2, 4] [BLUE]: This edge (-1,3)-(-2,4) is already DONE with thickness=2. A BLUE move here would increase thickness but NOT"
      },
      {
        "step": 36,
        "text": "BLUE to [-2,3] completes target (0,1)-(-1,2)? NO—recheck map. Actually ↙ goes to [-2,3] and that edge (-1,3)-(-2,3) is DONE. Cannot reduce W. Must use ← instead to [-2,2], which crosses (-1,2)-(-2,2)—also DONE. All three BLUE moves hit completed edges. Reposition GREY toward (0,0)-(1,0) cluster at [0,1] via ↗, then execute BLUE moves eastward. Switch strategy: use GREY repositioning now, save BLUE for targets I can actually reach and complete. Move ↗ to [0,1]. ↗ Reposition GREY toward (0,0)-(1,0) core targets. From [0,1] next turn, can move east"
      },
      {
        "step": 37,
        "text": "Reposition GREY to [-2,2]. From there, move ↘ to [-1,3] to reach the (0,1)-(-1,2) target zone. All three BLUE options hit already-DONE edges—must reposition first. BITE in 2 is critical; next move must enable a BLUE that reduces W."
      },
      {
        "step": 38,
        "text": "BLUE move to [-1,1] crosses edge (-2,1)-(-1,1). Check if this completes any remaining target. If yes, reduces W and is critical before BITE in 1. If no, follow up with repositioning toward (0,0)-(1,0) cluster or (1,0)-(1,1) target at [1,1]."
      },
      {
        "step": 39,
        "text": "- W: 9 (9 targets not completed) - BITE in 35 steps - All three BLUE moves available hit already-DONE edges (no W reduction) **Available BLUE moves:** - → [0, 1]: crosses (−1,1)−(0,1) — checking targets... (0,1)−(−1,2) is a TARGET but that edge is different - ↘ [0, 2]: crosses (−1,1)−(0,2) — not a target edge - ↓ [−1, 2]: crosses (−1,1)−(−1,2) — checking: (0,1)−(−1,2) is a TARGET. Does this edge match? No, target is (0,1"
      },
      {
        "step": 40,
        "text": "Move ↓ to [0,1]. This crosses edge (-1,1)-(0,1), which is DONE. But from [0,1] I can then move ↘ to [1,2] and finally ↙ to [0,2], positioning to hit target (0,1)-(-1,2) with a BLUE move. All current BLUE options hit DONE edges—must reposition through GREY moves. BITE in 34 means I have time to set up. Avoid repeating recent 5-sequences."
      },
      {
        "step": 41,
        "text": "Move ↙ to [-1,2] crosses edge (0,1)-(-1,2), which is a TARGET. This is a BLUE move that reduces W from 10→9. Critical: execute this immediate W reduction before BITE in 33. Next, reposition toward remaining targets (0,0)-(1,0) cluster using GREY moves."
      },
      {
        "step": 42,
        "text": "Move ← to [-2,2] is BLUE and crosses edge (-1,1)-(-2,2). Check: is (-1,1)-(-2,2) a target? Looking at TARGET list: (-2,2)-(-1,1) is listed. Edge (-1,1)-(-2,2) is the same edge. This is BLUE and reduces W from 9→8. Execute immediately before BITE in 31. After this, reposition toward (0,0)-(1,0) cluster (remaining 8 targets) using GREY moves. Avoid 180° reversal from ↙."
      },
      {
        "step": 43,
        "text": "Move ↖ to [-3,1] crosses edge (-2,2)-(-3,1). Check target list: (-2,2)-(-1,1) is listed as TARGET, but (-2,2)-(-3,1) is NOT on the target list—this is a BLUE move on NEW terrain, which CREATES a new target and increases W from 9→10. This is a trap. Instead, ↑ to [-2,1] crosses edge (-2,2)-(-2,1). This is also NEW terrain (not on target or done lists), so it's GREY, not BLUE. Reposition toward the (0,0)-(1,0) cluster. BITE in 31 is manageable if next move is BLUE on an actual target. Avoid 180° from ← (current facing)."
      },
      {
        "step": 44,
        "text": "Move ↑ to [-3,0] is BLUE and crosses edge (-3,1)-(-3,0). Verify: (-3,1)-(-3,0) is NOT on target or done lists, so this appears to be NEW terrain creating a non-completed edge (GREY behavior). However, the system labels it [BLUE], indicating it must cross a target. Re-examine: the target list includes edges like (0,0)-(0,1), (-1,1)-(0,0), etc. If (-3,1)-(-3,0) is somehow part of the path structure, trust the label. Execute [BLUE] to reduce W. If this fails and increases W, next move must be ↗ to [-2,0] (also [BLUE], closer to (0,0)-(1,0) cluster). Avoid 180° from ↑ (no ↓"
      },
      {
        "step": 45,
        "text": "- W: 9 (9 non-completed targets remain) - BITE in 29 steps - Available moves include two BLUE options: → [-2, 0] and ↗ [-2, -1], plus ↘ [-2, 1] **Key observations:** 1. The last note warns about the danger of creating new targets via GREY moves on new terrain. The system is labeling moves as [BLUE] or [GREY] based on whether they cross target edges. 2. Looking at remaining targets: - (0,0)-(1,0) - (1,0)-(2,0) - (2,0)-(3,0) - (2,0)-(1,-1) - (1,0)"
      },
      {
        "step": 46,
        "text": "Move ↘ to [-2,0] is [BLUE]—must cross TARGET (0,0)-(1,0) or adjacent target edge. This reduces W from 10→9. Position moves closer to remaining (1,0)-(2,0), (2,0)-(3,0), (2,0)-(1,-1) cluster. BITE in 28 is safe if next moves continue blue reduction. Avoid ↑ (180° from current facing ↓)."
      },
      {
        "step": 47,
        "text": "Move ↓ to [-2,1] is [BLUE]—crosses a target edge and reduces W from 10→9. This keeps momentum toward the (1,0)-(2,0)-(3,0) cluster. Avoid ↑ (180° reversal from ↓). Next priority: reach (0,0)-(1,0) and eastward targets to clear W."
      },
      {
        "step": 48,
        "text": "Move ← to [-3,1] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes a target on the western side. After this, reposition toward the (0,0)-(1,0)-(2,0)-(3,0) cluster via grey moves if needed. Avoid ↑ (180° reversal from current facing ↓). BITE in 26 steps—continue blue momentum to stay ahead."
      },
      {
        "step": 49,
        "text": "Move ↖ to [-4,0] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes another western target. After this blue move, expect to reposition via grey moves toward the (0,0)-(1,0)-(2,0)-(3,0) cluster. Avoid ↓ (180° reversal from current facing ←). BITE in 25—maintain blue reduction pace to stay ahead of decay."
      },
      {
        "step": 50,
        "text": "Move ↗ to [-3,-1] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes the last western target. After this, reposition eastward via grey moves toward the (0,0)-(1,0)-(2,0)-(3,0) cluster. Avoid ↙ (180° reversal from current facing ↗). BITE in 23—continue blue reduction to stay ahead of decay."
      },
      {
        "step": 51,
        "text": "Move ↓ to [-3,0] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes the final western target. After this, reposition eastward via grey moves toward the (0,0)-(1,0)-(2,0)-(3,0) cluster on the right side. Avoid ↑ (180° reversal from current facing ↓). BITE in 23—each blue move reduces W and keeps us ahead of decay."
      },
      {
        "step": 52,
        "text": "- W: 9 (9 targets remaining) - BITE in 22 (urgent) - O2: 99.7% **Remaining Targets:** 1. (0,0)-(1,0) 2. (1,0)-(2,0) 3. (2,0)-(3,0) 4. (2,0)-(1,-1) 5. (1,0)-(1,1) 6. (1,1)-(0,2) 7. (-2,2)-(-2,3) 8. (-1,3)-(-1,2) 9. (-1,1)-(0,0) **Analysis of Available Moves:** Looking at the targets, most are in the eastern cluster around (0,0)"
      },
      {
        "step": 53,
        "text": "Move ↙ to [-4,2] is [BLUE]—crosses edge (-3,1)-(-4,2) which does NOT match any remaining target, so W stays 9. This grey-like move repositions toward the eastern cluster. However, re-examining: ↙ is available and listed [BLUE], meaning it WILL reduce W if it crosses a target. Pivot strategy: take any remaining [BLUE] move that reduces W, prioritize eastward repositioning via grey when blues don't decrease W. BITE in 21 is critical—must net positive W reduction per 2–3 steps or decay wins."
      },
      {
        "step": 54,
        "text": "- W: 10 (10 targets remaining) - BITE in 20 (very urgent) - O2: 99.7% **Available Moves Analysis:** - → [-3, 2] [GREY] — repositions toward targets, no W reduction - ↘ [-3, 3] [GREY] — repositions, no W reduction - ↓ [-4, 3] [GREY] — repositions, no W reduction - ↙ [-5, 3] [GREY] — repositions, no W reduction - ← [-5, 2] [BLUE] — crosses edge (-4,2)-(-5,2), checking targets... this is NOT in the target list - ↖ [-5, 1] ["
      },
      {
        "step": 55,
        "text": "**Current State Analysis:** - W=11 (11 targets remaining) - BITE in 19 (critical—must reduce W faster than bite undoes work) - Position: [-5, 3], facing ↙ - All three BLUE moves (←, ↖, ↑) appear to cross non-target edges (won't reduce W) **Core Problem:** The last note was cut off, but the pattern is clear: I'm in a repositioning phase where available BLUE moves don't hit targets. I need to move toward the eastern cluster where targets concentrate, then execute blues that actually reduce W. **Decision:** The ↑ move ([-5, 2]) listed as [BLUE] is still a [BLUE]—it preserves thickness-building optionality and moves me north, closer to the dense target region around (0,0)-(2,0). Grey moves"
      },
      {
        "step": 56,
        "text": "Move ↑ to [-6,3] [BLUE]—crosses edge (-6,4)-(-6,3). Check if this matches target (-5,3)-(-6,4). The direction from [-6,4] facing ↙ turning to ↑ is a valid turn. This BLUE move builds thickness on a key barrier edge, protecting against bite. After this, must immediately pivot east (grey moves if needed) to reach the dense target cluster (0,0)-(2,0) where W can drop rapidly. BITE in 18 is critical—every BLUE move must either reduce W or build thickness on edges that shield remaining targets from bite decay."
      },
      {
        "step": 57,
        "text": "Moving to [-5,2] is BLUE but does NOT reduce W (not a target edge). Repositioning move. Must pivot sharply east next turn toward the dense cluster at (0,0)-(2,0)-(3,0) where 3 consecutive targets remain. W=12, BITE in 16 is critical—only pure W-reduction blues matter now."
      },
      {
        "step": 58,
        "text": "**Current state:** - W=12 (12 uncompleted targets) - BITE in 16 (very tight—I'm losing old completed edges faster than I'm reducing W) - Position [-5, 2], facing ↗ - I'm still west of the dense target cluster at (0,0)-(2,0)-(3,0) **Available moves analysis:** - → [-4, 2] [BLUE]: Repositioning move, doesn't reduce W - ↘ [-4, 3] [BLUE]: Repositioning move, doesn't reduce W - ↓ [-5, 3] [BLUE]: Repositioning move, doesn't reduce W - ← [-6, 2] [GREY]: Moves away from targets - ↖ [-6, 1] [GREY]: Moves away from targets -"
      },
      {
        "step": 59,
        "text": "Move ↓ to [-5,3] [BLUE] crosses edge (-5,3)-(-5,2). This completes TARGET (-5,3)-(-6,4)? NO—but it's a blocking move toward [-5,3] which is adjacent to the target cluster. Next: from [-5,3] pivot → twice to reach [-3,3], then navigate to dense (0,0)-(2,0)-(3,0) cluster. W=12 with BITE in 15 is critical—must reach and clear the eastern triple-target zone within 10 moves before bite cascades. This BLUE move positions for rapid W reduction; do NOT waste grey moves unless absolutely necessary to unblock a blue sequence."
      },
      {
        "step": 60,
        "text": "Move ↙ to [-5,4] [BLUE] crosses edge (-5,4)-(-4,3). This does NOT reduce W (not a target), but it's a repositioning blue that builds a path toward the dense cluster. From [-5,4] I can pivot → to move along row 4 toward the eastern targets. BITE in 14 is critical—must reach (0,0)-(2,0)-(3,0) triple target within 10 moves. Every blue repositioning move that chains toward a W-reducing sequence is necessary; grey moves on new terrain would create new targets and raise W. Stay blue, stay focused east."
      },
      {
        "step": 61,
        "text": "Move ↑ to [-5,3] [BLUE] crosses edge (-5,3)-(-5,4), completing TARGET (-5,3)-(-6,4). W drops to 11. BITE in 13 is critical—must chain eastward through the dense cluster at (0,0)-(2,0)-(3,0) within 9 moves. Next from [-5,3]: pivot → to move row-by-row east, chaining blue W-reducing moves only. Avoid all grey moves on new terrain."
      },
      {
        "step": 62,
        "text": "From [-4,3] facing →, move → to [-3,3] to pivot toward the dense eastern triple-target cluster at (0,0)-(2,0)-(3,0). This is a [BLUE] move that crosses edge (-4,3)-(-4,2)—check if it reduces W. If not, it repositions me one step closer to the next W-reducing target. With BITE in 12 and W=11, I must chain only high-confidence blue moves that either reduce W directly or create a direct path to W-reducing edges. Do NOT take grey moves on new terrain; stay on completed edges when possible to avoid raising W."
      },
      {
        "step": 63,
        "text": "Move ↘ to [-3,4] [BLUE] crosses edge (-4,3)-(-5,4). This edge is already DONE (thickness=1), so this move damages existing work but repositions me eastward. However, checking the map: I need to reach the eastern triple-target (0,0)-(1,0)-(2,0) within ~9 steps before BITE overwhelms progress. From [-3,4] facing ↘, I can pivot to move directly east along row 4 toward the dense cluster. With W=12 and BITE in 11, every step must either reduce W or create a direct chain to W-reducing edges. This blue move on an existing edge (no new target created) is safer than grey moves that would spawn new targets. Next move: pivot to → and chain eastward along row 4."
      },
      {
        "step": 64,
        "text": "Move ↓ to [-3,5] [BLUE] crosses edge (-3,4)-(-3,5), a new edge created as completed. This does NOT reduce W directly (no target matches), but it repositions me one step closer to the eastern triple-target cluster (0,0)-(1,0)-(2,0). With W=12 and BITE in 10, I must maintain forward momentum toward high-value targets. From [-3,5] facing ↓, I can pivot → next to move eastward along row 5, chaining blue moves that either reduce W or advance the path without spawning new targets on unexplored terrain."
      },
      {
        "step": 65,
        "text": "Move ↙ to [-4,6] [BLUE] crosses a new edge but advances toward TARGET (-4,2)-(-5,3) and the northwestern cluster. From [-4,6] facing ↙, I can pivot back → or ↘ to chain eastward. With W=12 and BITE in 9, I must complete remaining targets fast. The three eastern targets (0,0)-(1,0)-(2,0) are blocked by tight geometry—pivot through northwestern completions instead. Do NOT waste steps on GREY moves that reposition without reducing W; only BLUE moves or repositioning on existing edges count."
      },
      {
        "step": 66,
        "text": "Move ← to [-5,6] [BLUE] crosses TARGET (-4,2)-(-5,3) region. With W=12 and BITE in 8, I must reduce W every 1-2 steps or lose to bite decay. The northwestern cluster (targets around (-4,2)-(-5,3) and (-5,3)-(-6,4)) has 2 incomplete targets reachable from here. After this blue move, pivot ↙ or ↓ to chain through (-5,3)-(-6,4) and complete the chain before BITE accelerates. All remaining moves must reduce W; no grey repositioning until the western targets are done."
      },
      {
        "step": 67,
        "text": "Move ↖ to [-6,5] [BLUE] targets edge (-5,3)-(-4,3), which is DONE thickness=1. This is a safe blue move on existing terrain that does NOT create new targets. From [-6,5] facing ↖, I can then pivot to chase the two remaining northwestern targets: (-4,2)-(-5,3) and (-5,3)-(-6,4). W=12 and BITE in 7 demand W reduction every turn. Blue moves on completed edges preserve the map geometry and reposition toward incomplete targets without increasing W. After this move, pivot ↑ or ↗ to reach and complete (-5,3)-(-6,4)."
      },
      {
        "step": 68,
        "text": "Move ↗ to [-5,4] [BLUE] crosses DONE edge (-6,4)-(-5,3) thickness=1. This preserves map geometry and repositions me toward the two remaining northwestern targets: (-4,2)-(-5,3) and (-5,3)-(-6,4). From [-5,4] facing ↗, I can pivot ↙ or ← to directly cross (-5,3)-(-6,4) next turn and reduce W. W=12 and BITE in 6 demand W reduction every turn—only blue moves on existing edges or new targets count. Do NOT take grey moves; chain blue completions relentlessly."
      },
      {
        "step": 69,
        "text": "Move ↘ to [-4,5] [BLUE] crosses TARGET (-5,3)-(-6,4). This reduces W from 12→11 and targets the last northwestern incomplete edge. From [-4,5] facing ↘, pivot ↙ next turn to reach TARGET (-4,2)-(-5,3) and complete the chain. W=11 and BITE in 4 demand unbroken blue reduction—no grey moves until western targets are fully done. Chain blue completions only."
      },
      {
        "step": 70,
        "text": "- W = 11 (just reduced from 12) - BITE in 4 (very urgent) - Two targets remain in the northwest: (-4,2)-(-5,3) and (-3,1)-(-3,0) **Analysis:** From [-4, 5] facing ↘, I need to pivot to reach (-4,2)-(-5,3). Looking at available moves: - ↙ → [-5, 5] [BLUE] — this move crosses edge (-4,4)-(-5,5) Let me trace: moving ↙ from [-4,5] takes me to [-5,5]. The edge between [-4,5] and [-5,5] in hexagonal coordinates is the edge (-4,4)-(-5,5)."
      },
      {
        "step": 71,
        "text": "- W=13 (not 11 as notes suggested—the notes are out of sync) - BITE in 3 (critical—must reduce W immediately or lose thickness) - Two main targets remain: (-4,2)-(-5,3) and (-3,1)-(-3,0) **Evaluating Available Moves:** Only two options reduce W immediately: - ↓ → [-3, 7] [BLUE] - ↙ → [-4, 7] [BLUE] - ← → [-4, 6] [BLUE] All three cross new edges (not shown as DONE). Among these: - **↙** puts me at [-4, 7] in the northwest quadrant, closest to the (-4,2)-(-5,3) and"
      },
      {
        "step": 72,
        "text": "W=14, BITE in 2 (critical). ↓ [BLUE] to [-2,8] is the only move that directly reduces W by crossing a target edge. Must reduce W immediately or thickness loss from bite will cascade. After this move, reassess path to remaining targets (-4,2)-(-5,3) and (-3,1)-(-3,0) from new position."
      },
      {
        "step": 73,
        "text": "BITE in 1 is critical. ↙ [BLUE] to [-3,9] crosses target edge (-3,6)-(-2,7)... wait, let me verify: moving ↙ from [-2,8] goes to [-3,9]. The edge is (-3,8)-(-3,9). Checking map: no target listed for that edge. Re-examine: targets near [-3,9] are (-4,5)-(-3,6) and (-3,6)-(-2,7). The edge (-3,8)-(-3,9) does not match. Let me reconsider: ↖ to [-3,7] crosses edge (-2,7)-(-3,7), which doesn't match targets either. Actually, ↙ to [-3,9] may cross (-3,8)-(-4,9) or similar. Given W=14 and BITE"
      },
      {
        "step": 74,
        "text": "**Current state:** Position [-3,9], facing ↙, W=15, BITE in 35 steps **Critical analysis:** - W=15 means 15 target edges remain incomplete - BITE in 35 is manageable, but W is the primary constraint - All [BLUE] moves available are: ←, ↖, ↑ - All [GREY] moves available are: →, ↘, ↓, ↙ **Target edges near current position:** - (-4,5)-(-3,6): need to reach [-4,5] or [-3,6] - (-3,6)-(-2,7): need to reach [-3,6] or [-2,7] - (-3,1)-(-3,0): far south, requires repositioning **Evaluating BLUE moves (only way to reduce W):**"
      },
      {
        "step": 75,
        "text": "Position [-2,9] facing →. Target (-3,9)-(-2,9) is directly north-west. ↖ [BLUE] to [-3,8] crosses this target edge and reduces W from 16→15. After this, reposition toward (-4,5)-(-3,6) cluster which has 3 remaining targets. BITE in 34 is manageable; focus on reducing W efficiently before bite accelerates."
      },
      {
        "step": 76,
        "text": "Move ↖ [BLUE] to [-3,8] crosses target (-3,9)-(-2,9), reducing W from 16→15. After, plan grey repositioning toward (-4,5)-(-3,6) cluster (3 targets remain). BITE in 33 is tight; every blue move reduces W. Avoid creating new targets via grey on unmapped terrain."
      },
      {
        "step": 77,
        "text": "Move [BLUE] to [-5,8] crosses target (-3,8)-(-4,7), reducing W from 17→16. This completes the edge adjacent to current position and makes progress toward the (-4,5)-(-3,6) cluster. Reposition grey moves afterward toward (-4,5) to chain multiple blues together and outpace BITE."
      },
      {
        "step": 78,
        "text": "Move [BLUE] to [-5,9] crosses target (-5,3)-(-6,4)? No—check edge between [-5,8] and [-5,9]: this is NOT a target. This is a GREY move creating new terrain. WRONG. Recalculate: from [-5,8] facing ↙, available BLUE moves are →, ↘, ↓. Edge [-5,8]→[-4,8] (→) is DONE thickness=1, not a target. Edge [-5,8]→[-4,9] (↘) not listed. Edge [-5,8]→[-5,9] (↓) not listed as target. All three \"BLUE\" moves create new thickness on existing completed edges or new unmapped edges—none reduce W. This is a trap. Choose ↓ [BLUE] as it's marked BLUE and moving toward"
      },
      {
        "step": 79,
        "text": "Move → [BLUE] crosses edge [-5,9]→[-4,9]. This edge is NOT listed as DONE or TARGET, so it will be created as BLUE (completed). This does NOT reduce W. However, → is marked [BLUE] and positions toward (-4,5)-(-3,6) cluster. Verify next turn whether any blue moves from [-4,9] actually reduce W by crossing unlisted targets. If not, switch to grey repositioning immediately. BITE in 30 is critical—must chain blue moves that reduce W, not waste steps on new terrain."
      },
      {
        "step": 80,
        "text": "- W = 17 (17 uncompleted targets remaining) - BITE in 29 (urgent) - Last 3 notes show confusion about which moves actually reduce W **Critical analysis:** Looking at the available moves and my position at [-4, 9]: - All BLUE moves listed: ↖ → [-5, 8], ↑ → [-4, 8], ↗ → [-3, 8] - All GREY moves listed: → → [-3, 9], ↘, ↓, ↙ The notes indicate I've been making moves marked [BLUE] that don't actually reduce W. The issue: I need to check if the edges I'm crossing are actual targets. **Remaining targets near me:** - TARGET (-3,9)-"
      },
      {
        "step": 81,
        "text": "Move [BLUE] to [-3,8] crosses edge (-3,9)-(-4,8)? No. From [-4,9] facing →, ↑ is +120° left. Check edge [-4,9]→[-3,8]: this is TARGET (-3,8)-(-4,7) reversed, or (-4,7)-(-3,8)? Map shows TARGET (-3,8)-(-4,7). Edge from [-4,9] upward goes to [-3,8]. This DOES cross target (-3,9)-(-2,9)? No—that's horizontal from [-3,9]. Recalculate: ↑ from [-4,9] = move to [-3,8]. Edge traversed: (-4,9)-(-3,8). Is this a target? Check map: TARGET (-3,8)-(-4,7) listed. My edge (-4"
      },
      {
        "step": 82,
        "text": "- W: 18 (18 uncompleted targets) - BITE in 27 (very urgent) - Available moves include both BLUE and GREY options **Analyzing the available moves:** Looking at the remaining targets near my position: - TARGET (-3,9)-(-2,9) — horizontal edge at y=9 - TARGET (-3,8)-(-4,7) — already listed as DONE with thickness=1 - TARGET (-4,9)-(-3,9) — horizontal edge - TARGET (-3,9)-(-2,9) — horizontal edge **Critical insight from last note:** I've been confused about which edges actually reduce W. Let me verify: From [-3, 8] facing ↑: - ↙ → [-4, 9] ["
      },
      {
        "step": 83,
        "text": "Move [BLUE] to [-4,8] crosses edge (-3,8)-(-4,7), which is TARGET (-3,8)-(-4,7). Wait—verify: from [-3,7] facing ↑, ↙ goes to [-4,8]. Edge crossed: (-3,7)-(-4,8). This is NOT a target. Recheck available moves: ↙ labeled [BLUE] to [-4,8]. The edge must be a target for [BLUE] to reduce W. Pivot: ← to [-4,7] is marked [BLUE]—edge (-3,7)-(-4,7) likely matches TARGET (-4,7)-(-3,8) or similar. Choose ← instead. CORRECTION: move ←."
      },
      {
        "step": 84,
        "text": "- W: 19 (19 uncompleted targets remain) - BITE in 25 (urgent) - Available moves with [BLUE] labels: →, ↘, ↓ **Key insight from notes:** I've been making errors about which edges actually reduce W. I need to verify that a [BLUE] move truly crosses a TARGET edge. **Analyzing each [BLUE] move:** 1. **→ to [-3, 8]**: Edge crossed would be [-4,8]→[-3,8] = (-4,8)-(-3,8). Is this a TARGET? Checking map... I don't see this as an uncompleted target. 2. **↘ to [-3, 9]**: Edge crossed would be [-4"
      },
      {
        "step": 85,
        "text": "- W: 20 (20 uncompleted targets) - BITE in 24 (very urgent - need to reduce W quickly) - Three [BLUE] moves available: →, ↘, ↓ **Analyzing the [BLUE] moves:** 1. **→ to [-4, 9]**: Crosses edge (-5,9)-(-4,9). Checking targets... this IS TARGET (-4,9)-(-3,9)? No, that's (-4,9)-(-3,9). Edge (-5,9)-(-4,9) is already DONE (thickness=1). 2. **↘ to [-4, 10]**: Crosses edge (-5,9)-(-4,10). New terrain - would create a target, not reduce W. 3."
      },
      {
        "step": 86,
        "text": "**Current position:** [-6, 10] facing ↙ **W: 21** (need to reduce urgently, BITE in 23) **Analyzing the [BLUE] moves:** 1. **↘ to [-5, 11]**: Edge crossed is (-6,10)-(-5,11). Checking targets... I need to verify this is actually an uncompleted TARGET. 2. **↓ to [-6, 11]**: Edge crossed is (-6,10)-(-6,11). This needs to be a TARGET to reduce W. 3. **↙ to [-7, 11]**: Marked [GREY] - creates new terrain, increases W. Given BITE is in 23 steps and W=21, I'm in a critical position. However, I notice from my notes that I've been making errors about which edges actually reduce W. The available [BLUE"
      },
      {
        "step": 87,
        "text": "**Current state:** W=21, BITE in 22, position [-5, 11] facing ↙ **Analysis of [BLUE] moves:** - **→ to [-4, 11]**: Crosses edge (-5,11)-(-4,11). Checking targets... this doesn't match any TARGET in the list. - **↑ to [-5, 10]**: Crosses edge (-5,11)-(-5,10). Not a TARGET. - **↗ to [-4, 10]**: Crosses edge (-5,11)-(-4,10). Not a TARGET. None of the [BLUE] moves actually cross uncompleted TARGET edges! This means they won't reduce W. **Key insight:** I've been making repeated errors assuming [BLUE] labels mean the move reduces W. But [BLUE] just means the edge gets colored — if it's not a TARGET,"
      },
      {
        "step": 88,
        "text": "**Current state:** W=21, BITE in 21, position [-4, 11] facing → **Analysis of available moves:** - All moves shown are either GREY or BLUE - The [BLUE] moves available are: ↖ to [-5, 10], ↑ to [-4, 10], ↗ to [-3, 10] - Checking against the TARGET list: - (-5,10)-(-4,10): Not a TARGET - (-4,11)-(-4,10): Not a TARGET - (-3,10)-(-4,10): Not a TARGET **Critical insight from my notes:** I've been making repeated errors. The [BLUE] label doesn't guarantee W reduction—it only means the edge gets colored. I must verify the edge is actually an uncompleted TARGET. Since none of the [BLUE] moves reduce"
      }
    ],
    "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": [
          "(1,0)-(2,0)",
          "(0,0)-(1,0)",
          "(2,0)-(3,0)"
        ],
        "total_edges": 4,
        "position": [
          2,
          1
        ],
        "facing": "↙",
        "response_ms": 1412,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [2,1] is BLUE and moves toward target (1,0)-(2,0); will complete it next turn. W will drop from 3→2.",
        "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": 1533,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↖ to [1,0] is BLUE and completes target (1,0)-(2,0). W drops from 3→2. This position also reaches target (0,0)-(1,0) next turn via ← for another BLUE move, dropping W to 1.",
        "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": 1778,
        "was_retry": false,
        "was_random": false,
        "note": "Move → to [2,0] is BLUE and completes target (1,0)-(2,0). W drops 3→2. From [2,0], can move ← to [1,0] for BLUE on target (0,0)-(1,0), dropping W to 1. Then ← again to [0,0] for BLUE on final target (",
        "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": 2051,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↖ to [1,-1] is GREY; positions me to reach target (0,0)-(1,0) via ← next turn. From [1,-1], moving ← goes to [0,0], and moving ← again reaches [1,0] where I can color (0,0)-(1,0) BLUE. This GREY ",
        "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": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2324,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [1,0] is BLUE on target (0,0)-(1,0), reducing W from 3→2. From [1,0], can then move ← to [0,0] for BLUE on target (2,0)-(1,-1), reducing W to 1. Final target (2,0)-(3,0) reachable after. Dir",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "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": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8333,
        "epsilon_total": 0.8333,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.6667,
        "blue_efficiency": 0.25,
        "S": 4,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 29,
        "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": "(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": 8,
        "position": [
          1,
          1
        ],
        "facing": "↓",
        "response_ms": 2204,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [1,1] is GREY—reposition toward uncompleted targets. From [1,1], next turn can move ← to [0,0] for BLUE on target (0,0)-(1,0) to reduce W from 3→2. Then reach remaining targets (2,0)-(3,0) a",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 10,
        "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": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8571,
        "epsilon_total": 0.8571,
        "rho_minus_epsilon": -0.7143,
        "blue_ratio_cum": 0.5714,
        "blue_efficiency": 0.25,
        "S": 4,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.98,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(1,1)-(1,2)"
        ],
        "total_edges": 9,
        "position": [
          1,
          2
        ],
        "facing": "↓",
        "response_ms": 2625,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 4 (four uncompleted targets) - Available targets: (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1), (1,0)-(1,1) - BITE in 29 steps **Analyzing Available Moves:** The notes suggest moving ↓ to [1,1] was GR",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 11,
        "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": 0.125,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.625,
        "blue_ratio_cum": 0.625,
        "blue_efficiency": 0.2,
        "S": 5,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.98,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 2.1,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,1)-(1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          2,
          1
        ],
        "facing": "↗",
        "response_ms": 2315,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↗ to [2,1] [BLUE] completes target (1,0)-(1,1), reducing W from 5→4. From [2,1], next turn can move ↙ to [1,0] then ↙ to [0,0] to complete (0,0)-(1,0), then reach (2,0)-(3,0) and (2,0)-(1,-1). Di",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,2)-(2,1)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 12,
        "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": 0.1111,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6667,
        "epsilon_total": 0.6667,
        "rho_minus_epsilon": -0.5556,
        "blue_ratio_cum": 0.6667,
        "blue_efficiency": 0.1667,
        "S": 6,
        "arrow": "↑",
        "is_blue": true,
        "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": 1,
        "d_mean": 1.3,
        "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": [
          2,
          0
        ],
        "facing": "↑",
        "response_ms": 2537,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↑ to [2,0] is BLUE—completes target (2,0)-(3,0), reducing W from 5→4. This is the second-closest uncompleted target. From [2,0] facing ↑, next turn can move ↘ to [3,0] to complete (2,0)-(3,0) if ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 13,
        "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": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.7,
        "blue_efficiency": 0.1429,
        "S": 7,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.96,
        "edges_at_risk": 7,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.3,
        "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,
          1
        ],
        "facing": "↙",
        "response_ms": 1890,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [1,1] is BLUE—completes target (1,0)-(1,1), reducing W from 5→4. From [1,1], next turn can move ↙ to [0,0] to then complete (0,0)-(1,0), then pivot toward remaining targets (2,0)-(3,0) and (",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 14,
        "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": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.6364,
        "blue_efficiency": 0.1429,
        "S": 7,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.96,
        "edges_at_risk": 7,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.3,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(1,1)-(0,2)"
        ],
        "total_edges": 13,
        "position": [
          0,
          2
        ],
        "facing": "↙",
        "response_ms": 2530,
        "was_retry": false,
        "was_random": false,
        "note": "- BITE in 25 (reasonable time buffer) - All BLUE moves available reduce W by 1 **Analyzing the three BLUE options:** 1. **→ to [2,1] [BLUE]**: Edge (1,1)-(2,1) - not a target. Does NOT reduce W. 2. **",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 15,
        "level": 1,
        "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": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.6667,
        "blue_efficiency": 0.125,
        "S": 8,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "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": 1.83,
        "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": [],
        "total_edges": 14,
        "position": [
          0,
          3
        ],
        "facing": "↓",
        "response_ms": 2464,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [0, 3] completes target (1,1)-(1,2), reducing W from 6→5. This is the ONLY available move that reduces W. All other BLUE moves create new edges that are not targets (waste steps). After this",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 16,
        "level": 1,
        "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": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.6923,
        "blue_efficiency": 0.1111,
        "S": 9,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.95,
        "edges_at_risk": 9,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 2.75,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(1,1)-(1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          2
        ],
        "facing": "↗",
        "response_ms": 1907,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↗ to [1,2] completes target (1,1)-(0,2), reducing W from 6→5. This is the ONLY available BLUE move that reduces W immediately. From [1,2], next turn reposition toward remaining targets (0,0)-(1,0",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 17,
        "level": 1,
        "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": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.7143,
        "blue_efficiency": 0.2,
        "S": 10,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.94,
        "edges_at_risk": 10,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.92,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,1)-(1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(1,1)-(1,2)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          1
        ],
        "facing": "↑",
        "response_ms": 1666,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↑ to [1,1] completes target (1,0)-(1,1), reducing W from 6→5. This is the ONLY BLUE move that reduces W from current position. After this move, reposition toward (0,0)-(1,0) or (2,0)-(3,0) to con",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 18,
        "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": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.6667,
        "blue_efficiency": 0.2,
        "S": 10,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.93,
        "edges_at_risk": 10,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.3,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          0
        ],
        "facing": "↑",
        "response_ms": 1970,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↑ to [1,0] completes target (1,0)-(1,1), reducing W from 5→4. This is the ONLY available BLUE move that reduces W immediately. After this move, reposition toward (0,0)-(1,0) or (2,0)-(3,0). BITE ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 19,
        "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": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.6875,
        "blue_efficiency": 0.1818,
        "S": 11,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.93,
        "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)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          0,
          1
        ],
        "facing": "↙",
        "response_ms": 1731,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [0,1] is BLUE and completes target (0,0)-(1,0), reducing W from 5→4. This is the ONLY available BLUE move that reduces W immediately. After this, reposition toward remaining targets (2,0)-(3",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 20,
        "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": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.6471,
        "blue_efficiency": 0.1818,
        "S": 11,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.92,
        "edges_at_risk": 11,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.5,
        "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": [
          "(0,1)-(-1,2)"
        ],
        "total_edges": 17,
        "position": [
          -1,
          2
        ],
        "facing": "↙",
        "response_ms": 1861,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [0,1] completes target (0,0)-(1,0), reducing W from 5→4. This is the ONLY available BLUE move that reduces W. After this, must reposition toward (2,0)-(3,0) or (2,0)-(1,-1). BITE in 19 means",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 21,
        "level": 1,
        "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": 0.6111,
        "blue_efficiency": 0.1818,
        "S": 11,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.92,
        "edges_at_risk": 11,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 2.67,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-1,2)-(-2,3)"
        ],
        "total_edges": 18,
        "position": [
          -2,
          3
        ],
        "facing": "↙",
        "response_ms": 2713,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 6 (6 non-completed target edges remain) - BITE in 18 (very urgent) - Available moves: 3 BLUE, 4 GREY **Analyzing BLUE moves (the only ones that reduce W):** 1. → to [0, 2]: [BLUE] — which target ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 22,
        "level": 1,
        "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": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.6316,
        "blue_efficiency": 0.1667,
        "S": 12,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.91,
        "edges_at_risk": 12,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 3.21,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(-1,2)-(-2,3)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 19,
        "position": [
          -1,
          3
        ],
        "facing": "→",
        "response_ms": 2051,
        "was_retry": false,
        "was_random": false,
        "note": "Move → to [-1,3] is [BLUE] and completes target (0,1)-(-1,2), reducing W from 7→6. BITE in 17 is critical—must reduce W every single turn. After this move, reposition toward remaining 6 targets: focus",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-2,3)-(-1,3)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 23,
        "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": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.65,
        "blue_efficiency": 0.1538,
        "S": 13,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.9,
        "edges_at_risk": 13,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 3.29,
        "d_max": 5,
        "cost_access": 1,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 20,
        "position": [
          -2,
          2
        ],
        "facing": "↖",
        "response_ms": 1573,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↖ to [-2,2] is [BLUE] and completes target (-1,2)-(-2,3), reducing W from 7→6. BITE in 16 is critical—must reduce W every turn with no wasted steps. After this, reposition towards (2,0)-(3,0) or ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 24,
        "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": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.6667,
        "blue_efficiency": 0.1429,
        "S": 14,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.9,
        "edges_at_risk": 14,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 2.79,
        "d_max": 5,
        "cost_access": 1,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          -2,
          3
        ],
        "facing": "↓",
        "response_ms": 1785,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-2,3] completes target (-1,2)-(-2,3), reducing W from 7→6. BITE in 15 is critical—must reduce W every turn. After this, reposition east toward (2,0)-(3,0) and (2,0)-(1,-1) using grey m",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 25,
        "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": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.6364,
        "blue_efficiency": 0.1429,
        "S": 14,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.89,
        "edges_at_risk": 14,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 3.21,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(-1,2)-(-2,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-2,3)-(-2,4)"
        ],
        "total_edges": 22,
        "position": [
          -2,
          4
        ],
        "facing": "↓",
        "response_ms": 2193,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 7 (7 targets not completed) - BITE in 14 steps - Available moves: 3 BLUE, 4 GREY **Target Analysis:** Remaining uncompleted targets: 1. (0,0)-(1,0) 2. (2,0)-(3,0) — farthest east 3. (2,0)-(1,-1) ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 26,
        "level": 1,
        "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": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.6522,
        "blue_efficiency": 0.1333,
        "S": 15,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.89,
        "edges_at_risk": 15,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 3.75,
        "d_max": 6,
        "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": 23,
        "position": [
          -1,
          3
        ],
        "facing": "↗",
        "response_ms": 2066,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↗ to [-1,3] is [BLUE], completes target (0,1)-(-1,2), reduces W from 8→7. BITE in 13 is critical. After this, reposition south/southeast toward (0,0)-(1,0), (2,0)-(3,0), and (2,0)-(1,-1) cluster.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,4)-(-1,3)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 27,
        "level": 1,
        "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": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.6667,
        "blue_efficiency": 0.125,
        "S": 16,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.88,
        "edges_at_risk": 16,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 3.0,
        "d_max": 5,
        "cost_access": 1,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 24,
        "position": [
          -1,
          2
        ],
        "facing": "↑",
        "response_ms": 2089,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-2,2] completes target (-1,2)-(-2,3), reducing W from 8→7. BITE in 12 is critical—must reduce W every turn. After this, reposition toward the (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1) clu",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,4)-(-1,3)": 1,
          "(-1,3)-(-1,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 28,
        "level": 1,
        "cycle": 1,
        "W": 7,
        "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": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.68,
        "blue_efficiency": 0.1765,
        "S": 17,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.88,
        "edges_at_risk": 17,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 2.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(-1,2)-(-2,3)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 24,
        "position": [
          -2,
          3
        ],
        "facing": "↙",
        "response_ms": 1577,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-2,3] completes target (-1,2)-(-2,3), reducing W from 8→7. BITE in 10 is critical. After this, reposition toward remaining targets in the southeast using the [BLUE] ↖ move to [-2,1], w",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,4)-(-1,3)": 1,
          "(-1,3)-(-1,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 29,
        "level": 1,
        "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": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.6923,
        "blue_efficiency": 0.2222,
        "S": 18,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.87,
        "edges_at_risk": 18,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 3.21,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(-2,3)-(-2,4)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(-2,3)-(-2,4)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 24,
        "position": [
          -2,
          4
        ],
        "facing": "↓",
        "response_ms": 1757,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-2,4] completes target (-2,3)-(-2,4), reducing W from 7→6. BITE in 9 is critical. After this, must reposition southeast toward (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1) cluster. Every tur",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 1,
          "(-1,3)-(-1,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 30,
        "level": 1,
        "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": 0.7037,
        "blue_efficiency": 0.2105,
        "S": 19,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.86,
        "edges_at_risk": 19,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 2,
        "d_mean": 4.67,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 25,
        "position": [
          -1,
          4
        ],
        "facing": "→",
        "response_ms": 2938,
        "was_retry": false,
        "was_random": false,
        "note": "- Current position: [-2, 4], facing ↓ - W = 6, BITE in 9 (critical pressure) - I have 3 BLUE moves available: → (↘), ↘ (→), ↗ (→) **Analysis:** The BLUE moves are: 1. **→** to [-1, 4]: This path likel",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 1,
          "(-1,3)-(-1,2)": 1,
          "(-2,4)-(-1,4)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 31,
        "level": 1,
        "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": 0.7143,
        "blue_efficiency": 0.2,
        "S": 20,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 99.86,
        "edges_at_risk": 20,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 2,
        "d_mean": 4.67,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          3
        ],
        "facing": "↑",
        "response_ms": 1648,
        "was_retry": false,
        "was_random": false,
        "note": "BLUE move to [-1,3] completes target (0,1)-(-1,2) or enables fast access to remaining southeast targets (0,0)-(1,0), (2,0)-(3,0), (2,0)-(1,-1). W must drop by step 31. BITE in 8 is critical—only blue ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 1,
          "(-1,3)-(-1,2)": 1,
          "(-2,4)-(-1,4)": 1,
          "(-1,4)-(-1,3)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 32,
        "level": 1,
        "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": 0.7241,
        "blue_efficiency": 0.1905,
        "S": 20,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 99.85,
        "edges_at_risk": 19,
        "mean_thickness": 1.05,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.95,
        "d_min": 1,
        "d_mean": 3.67,
        "d_max": 5,
        "cost_access": 1,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -2,
          4
        ],
        "facing": "↙",
        "response_ms": 1824,
        "was_retry": false,
        "was_random": false,
        "note": "BLUE move to [-2,4] completes target (-1,2)-(-2,3) (adjacent to current position [-1,3]), reducing W from 6→5. After this, must reposition directly toward (0,0)-(1,0) cluster using grey moves if neede",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-1,3)-(-1,2)": 1,
          "(-2,4)-(-1,4)": 1,
          "(-1,4)-(-1,3)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 33,
        "level": 1,
        "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": 0.7333,
        "blue_efficiency": 0.1818,
        "S": 20,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 99.85,
        "edges_at_risk": 18,
        "mean_thickness": 1.1,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9,
        "d_min": 2,
        "d_mean": 4.67,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          4
        ],
        "facing": "→",
        "response_ms": 1732,
        "was_retry": false,
        "was_random": false,
        "note": "Move BLUE to [-1, 4]. This edge connects toward the remaining target cluster at (0,0)-(1,0)-(2,0). W must drop this turn. After reaching [-1, 4], reposition east toward (0,0) core targets using grey m",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-1,3)-(-1,2)": 1,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 34,
        "level": 1,
        "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": 0.7419,
        "blue_efficiency": 0.1739,
        "S": 20,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 99.84,
        "edges_at_risk": 17,
        "mean_thickness": 1.15,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.85,
        "d_min": 2,
        "d_mean": 4.67,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          3
        ],
        "facing": "↑",
        "response_ms": 1577,
        "was_retry": false,
        "was_random": false,
        "note": "BLUE move to [-1,3] completes target (0,1)-(-1,2). W drops 6→5. After this, must reposition directly east toward (0,0)-(1,0)-(2,0) cluster using grey moves. BITE in 4 is critical—every remaining move ",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-1,3)-(-1,2)": 1,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2
        },
        "target_stability": 0.2
      },
      {
        "step": 35,
        "level": 1,
        "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": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.7188,
        "blue_efficiency": 0.1739,
        "S": 19,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 99.83,
        "edges_at_risk": 16,
        "mean_thickness": 1.158,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8421,
        "d_min": 1,
        "d_mean": 3.67,
        "d_max": 5,
        "cost_access": 1,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(-1,3)-(-1,2)"
        ],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          2
        ],
        "facing": "↑",
        "response_ms": 3410,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 6 (six incomplete targets remain) - BITE in 4 steps (very urgent) - Available moves: 3 BLUE, 4 GREY **Remaining targets:** 1. (0,0)-(1,0) 2. (2,0)-(3,0) 3. (2,0)-(1,-1) 4. (1,0)-(1,1) 5. (1,1)-(0",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 1,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2
        },
        "target_stability": 0.2
      },
      {
        "step": 36,
        "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": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.7273,
        "blue_efficiency": 0.1667,
        "S": 19,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 99.83,
        "edges_at_risk": 15,
        "mean_thickness": 1.211,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7895,
        "d_min": 0,
        "d_mean": 2.36,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -2,
          3
        ],
        "facing": "↙",
        "response_ms": 3311,
        "was_retry": false,
        "was_random": false,
        "note": "BLUE to [-2,3] completes target (0,1)-(-1,2)? NO—recheck map. Actually ↙ goes to [-2,3] and that edge (-1,3)-(-2,3) is DONE. Cannot reduce W. Must use ← instead to [-2,2], which crosses (-1,2)-(-2,2)—",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,2)-(-2,3)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2
        },
        "target_stability": 0.2
      },
      {
        "step": 37,
        "level": 1,
        "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": 0.0,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.7059,
        "blue_efficiency": 0.1667,
        "S": 18,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 99.82,
        "edges_at_risk": 14,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 1,
        "d_mean": 3.29,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(-2,2)-(-2,3)"
        ],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -2,
          2
        ],
        "facing": "↑",
        "response_ms": 5093,
        "was_retry": false,
        "was_random": false,
        "note": "Reposition GREY to [-2,2]. From there, move ↘ to [-1,3] to reach the (0,1)-(-1,2) target zone. All three BLUE options hit already-DONE edges—must reposition first. BITE in 2 is critical; next move mus",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2
        },
        "target_stability": 0.2
      },
      {
        "step": 38,
        "level": 1,
        "cycle": 1,
        "W": 9,
        "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": 0.3,
        "epsilon_active": 0.0,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.7143,
        "blue_efficiency": 0.16,
        "S": 18,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 35,
        "oxygen_pct": 99.82,
        "edges_at_risk": 14,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 0,
        "d_mean": 2.56,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(-2,2)-(-2,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [
          "(1,0)-(2,0)"
        ],
        "new_targets_created": [],
        "total_edges": 27,
        "position": [
          -1,
          1
        ],
        "facing": "↗",
        "response_ms": 2020,
        "was_retry": false,
        "was_random": false,
        "note": "BLUE move to [-1,1] crosses edge (-2,1)-(-1,1). Check if this completes any remaining target. If yes, reduces W and is critical before BITE in 1. If no, follow up with repositioning toward (0,0)-(1,0)",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 39,
        "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": 0.3,
        "epsilon_active": 0.1,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.6944,
        "blue_efficiency": 0.16,
        "S": 18,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 34,
        "oxygen_pct": 99.81,
        "edges_at_risk": 14,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 1,
        "d_mean": 2.06,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(1,1)-(0,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-1,1)-(0,0)"
        ],
        "total_edges": 28,
        "position": [
          0,
          0
        ],
        "facing": "↗",
        "response_ms": 2441,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 9 (9 targets not completed) - BITE in 35 steps - All three BLUE moves available hit already-DONE edges (no W reduction) **Available BLUE moves:** - → [0, 1]: crosses (−1,1)−(0,1) — checking targe",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 40,
        "level": 1,
        "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": 0.3,
        "epsilon_active": 0.1,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.7027,
        "blue_efficiency": 0.1538,
        "S": 19,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 33,
        "oxygen_pct": 99.8,
        "edges_at_risk": 15,
        "mean_thickness": 1.211,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7895,
        "d_min": 0,
        "d_mean": 1.95,
        "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": 29,
        "position": [
          0,
          1
        ],
        "facing": "↓",
        "response_ms": 2283,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [0,1]. This crosses edge (-1,1)-(0,1), which is DONE. But from [0,1] I can then move ↘ to [1,2] and finally ↙ to [0,2], positioning to hit target (0,1)-(-1,2) with a BLUE move. All current B",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 41,
        "level": 1,
        "cycle": 1,
        "W": 9,
        "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": 0.3,
        "epsilon_active": 0.1,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.7105,
        "blue_efficiency": 0.1852,
        "S": 20,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 32,
        "oxygen_pct": 99.8,
        "edges_at_risk": 16,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 1.6,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(-1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(0,1)-(-1,2)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 29,
        "position": [
          -1,
          2
        ],
        "facing": "↙",
        "response_ms": 1691,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [-1,2] crosses edge (0,1)-(-1,2), which is a TARGET. This is a BLUE move that reduces W from 10→9. Critical: execute this immediate W reduction before BITE in 33. Next, reposition toward rem",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 42,
        "level": 1,
        "cycle": 1,
        "W": 9,
        "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": 0.3,
        "epsilon_active": 0.1,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.7179,
        "blue_efficiency": 0.1786,
        "S": 21,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 99.79,
        "edges_at_risk": 17,
        "mean_thickness": 1.19,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8095,
        "d_min": 0,
        "d_mean": 2.44,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(-1,3)-(-1,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 30,
        "position": [
          -2,
          2
        ],
        "facing": "←",
        "response_ms": 2559,
        "was_retry": false,
        "was_random": false,
        "note": "Move ← to [-2,2] is BLUE and crosses edge (-1,1)-(-2,2). Check: is (-1,1)-(-2,2) a target? Looking at TARGET list: (-2,2)-(-1,1) is listed. Edge (-1,1)-(-2,2) is the same edge. This is BLUE and reduce",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 43,
        "level": 1,
        "cycle": 1,
        "W": 9,
        "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": 0.3,
        "epsilon_active": 0.1,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.725,
        "blue_efficiency": 0.1724,
        "S": 22,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.79,
        "edges_at_risk": 18,
        "mean_thickness": 1.182,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8182,
        "d_min": 0,
        "d_mean": 2.72,
        "d_max": 5,
        "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": 31,
        "position": [
          -3,
          1
        ],
        "facing": "↖",
        "response_ms": 2957,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↖ to [-3,1] crosses edge (-2,2)-(-3,1). Check target list: (-2,2)-(-1,1) is listed as TARGET, but (-2,2)-(-3,1) is NOT on the target list—this is a BLUE move on NEW terrain, which CREATES a new t",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 44,
        "level": 1,
        "cycle": 1,
        "W": 9,
        "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": 0.3,
        "epsilon_active": 0.1,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.7317,
        "blue_efficiency": 0.1667,
        "S": 23,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.78,
        "edges_at_risk": 19,
        "mean_thickness": 1.174,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8261,
        "d_min": 1,
        "d_mean": 3.56,
        "d_max": 6,
        "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": 32,
        "position": [
          -3,
          0
        ],
        "facing": "↑",
        "response_ms": 3246,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↑ to [-3,0] is BLUE and crosses edge (-3,1)-(-3,0). Verify: (-3,1)-(-3,0) is NOT on target or done lists, so this appears to be NEW terrain creating a non-completed edge (GREY behavior). However,",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 45,
        "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": 0.1,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.2,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.7143,
        "blue_efficiency": 0.1667,
        "S": 23,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.77,
        "edges_at_risk": 19,
        "mean_thickness": 1.174,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8261,
        "d_min": 2,
        "d_mean": 3.78,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(-2,2)-(-2,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-3,0)-(-3,-1)"
        ],
        "total_edges": 33,
        "position": [
          -3,
          -1
        ],
        "facing": "↑",
        "response_ms": 2691,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 9 (9 non-completed targets remain) - BITE in 29 steps - Available moves include two BLUE options: → [-2, 0] and ↗ [-2, -1], plus ↘ [-2, 1] **Key observations:** 1. The last note warns about the d",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 46,
        "level": 1,
        "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": 0.2,
        "epsilon_active": 0.2,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.7209,
        "blue_efficiency": 0.1613,
        "S": 24,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.77,
        "edges_at_risk": 20,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 3.75,
        "d_max": 6,
        "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": 34,
        "position": [
          -2,
          0
        ],
        "facing": "↘",
        "response_ms": 2217,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↘ to [-2,0] is [BLUE]—must cross TARGET (0,0)-(1,0) or adjacent target edge. This reduces W from 10→9. Position moves closer to remaining (1,0)-(2,0), (2,0)-(3,0), (2,0)-(1,-1) cluster. BITE in 2",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1,
          "(-3,-1)-(-2,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 47,
        "level": 1,
        "cycle": 1,
        "W": 10,
        "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": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.7273,
        "blue_efficiency": 0.1562,
        "S": 25,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.76,
        "edges_at_risk": 21,
        "mean_thickness": 1.16,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.84,
        "d_min": 1,
        "d_mean": 2.9,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(-3,0)-(-3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 35,
        "position": [
          -2,
          1
        ],
        "facing": "↓",
        "response_ms": 2059,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [-2,1] is [BLUE]—crosses a target edge and reduces W from 10→9. This keeps momentum toward the (1,0)-(2,0)-(3,0) cluster. Avoid ↑ (180° reversal from ↓). Next priority: reach (0,0)-(1,0) and",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 48,
        "level": 1,
        "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": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.7333,
        "blue_efficiency": 0.1515,
        "S": 26,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.76,
        "edges_at_risk": 22,
        "mean_thickness": 1.154,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8462,
        "d_min": 1,
        "d_mean": 2.65,
        "d_max": 5,
        "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": 36,
        "position": [
          -3,
          1
        ],
        "facing": "←",
        "response_ms": 1742,
        "was_retry": false,
        "was_random": false,
        "note": "Move ← to [-3,1] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes a target on the western side. After this, reposition toward the (0,0)-(1,0)-(2,0)-(3,0) cluster via grey ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 49,
        "level": 1,
        "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": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.7391,
        "blue_efficiency": 0.1471,
        "S": 27,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.75,
        "edges_at_risk": 23,
        "mean_thickness": 1.148,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8519,
        "d_min": 1,
        "d_mean": 3.35,
        "d_max": 6,
        "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": 37,
        "position": [
          -4,
          0
        ],
        "facing": "↖",
        "response_ms": 2043,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↖ to [-4,0] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes another western target. After this blue move, expect to reposition via grey moves toward the (0,0)-(1,0)-",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 50,
        "level": 1,
        "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": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.7447,
        "blue_efficiency": 0.1429,
        "S": 28,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.74,
        "edges_at_risk": 24,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 1,
        "d_mean": 4.4,
        "d_max": 7,
        "cost_access": 1,
        "nearest_edge": "(-3,0)-(-3,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 38,
        "position": [
          -3,
          -1
        ],
        "facing": "↗",
        "response_ms": 1464,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↗ to [-3,-1] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes the last western target. After this, reposition eastward via grey moves toward the (0,0)-(1,0)-(2,0)-(3,",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 51,
        "level": 1,
        "cycle": 1,
        "W": 9,
        "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": 0.75,
        "blue_efficiency": 0.1667,
        "S": 29,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.74,
        "edges_at_risk": 25,
        "mean_thickness": 1.138,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8621,
        "d_min": 0,
        "d_mean": 3.75,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(-3,0)-(-3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(-3,0)-(-3,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 38,
        "position": [
          -3,
          0
        ],
        "facing": "↓",
        "response_ms": 1380,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [-3,0] is [BLUE]—crosses TARGET (-3,0)-(-3,-1), reducing W from 10→9. This completes the final western target. After this, reposition eastward via grey moves toward the (0,0)-(1,0)-(2,0)-(3,",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,1)-(-3,0)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 52,
        "level": 1,
        "cycle": 1,
        "W": 10,
        "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": 0.7347,
        "blue_efficiency": 0.1667,
        "S": 28,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.73,
        "edges_at_risk": 24,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 2,
        "d_mean": 3.78,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(-2,2)-(-2,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [
          "(-3,1)-(-3,0)"
        ],
        "new_targets_created": [],
        "total_edges": 38,
        "position": [
          -3,
          1
        ],
        "facing": "↓",
        "response_ms": 2623,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 9 (9 targets remaining) - BITE in 22 (urgent) - O2: 99.7% **Remaining Targets:** 1. (0,0)-(1,0) 2. (1,0)-(2,0) 3. (2,0)-(3,0) 4. (2,0)-(1,-1) 5. (1,0)-(1,1) 6. (1,1)-(0,2) 7. (-2,2)-(-2,3) 8. (-1",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 53,
        "level": 1,
        "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": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.74,
        "blue_efficiency": 0.1622,
        "S": 29,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.73,
        "edges_at_risk": 25,
        "mean_thickness": 1.138,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8621,
        "d_min": 0,
        "d_mean": 3.25,
        "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": 39,
        "position": [
          -4,
          2
        ],
        "facing": "↙",
        "response_ms": 2937,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [-4,2] is [BLUE]—crosses edge (-3,1)-(-4,2) which does NOT match any remaining target, so W stays 9. This grey-like move repositions toward the eastern cluster. However, re-examining: ↙ is a",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 54,
        "level": 1,
        "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": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.7255,
        "blue_efficiency": 0.1622,
        "S": 29,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.72,
        "edges_at_risk": 25,
        "mean_thickness": 1.138,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8621,
        "d_min": 1,
        "d_mean": 4.15,
        "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": [
          "(-4,2)-(-5,3)"
        ],
        "total_edges": 40,
        "position": [
          -5,
          3
        ],
        "facing": "↙",
        "response_ms": 2547,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 10 (10 targets remaining) - BITE in 20 (very urgent) - O2: 99.7% **Available Moves Analysis:** - → [-3, 2] [GREY] — repositions toward targets, no W reduction - ↘ [-3, 3] [GREY] — repositions, no",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 55,
        "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": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.7115,
        "blue_efficiency": 0.1622,
        "S": 29,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.71,
        "edges_at_risk": 25,
        "mean_thickness": 1.138,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8621,
        "d_min": 0,
        "d_mean": 5.0,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-5,3)-(-6,4)"
        ],
        "total_edges": 41,
        "position": [
          -6,
          4
        ],
        "facing": "↙",
        "response_ms": 3235,
        "was_retry": false,
        "was_random": false,
        "note": "**Current State Analysis:** - W=11 (11 targets remaining) - BITE in 19 (critical—must reduce W faster than bite undoes work) - Position: [-5, 3], facing ↙ - All three BLUE moves (←, ↖, ↑) appear to cr",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 56,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.717,
        "blue_efficiency": 0.1579,
        "S": 30,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.71,
        "edges_at_risk": 26,
        "mean_thickness": 1.133,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8667,
        "d_min": 0,
        "d_mean": 5.54,
        "d_max": 9,
        "cost_access": 0,
        "nearest_edge": "(-5,3)-(-6,4)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 42,
        "position": [
          -6,
          3
        ],
        "facing": "↑",
        "response_ms": 2873,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↑ to [-6,3] [BLUE]—crosses edge (-6,4)-(-6,3). Check if this matches target (-5,3)-(-6,4). The direction from [-6,4] facing ↙ turning to ↑ is a valid turn. This BLUE move builds thickness on a ke",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 57,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7222,
        "blue_efficiency": 0.1538,
        "S": 31,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.7,
        "edges_at_risk": 27,
        "mean_thickness": 1.129,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.871,
        "d_min": 1,
        "d_mean": 5.33,
        "d_max": 9,
        "cost_access": 1,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          -5,
          2
        ],
        "facing": "↗",
        "response_ms": 2325,
        "was_retry": false,
        "was_random": false,
        "note": "Moving to [-5,2] is BLUE but does NOT reduce W (not a target edge). Repositioning move. Must pivot sharply east next turn toward the dense cluster at (0,0)-(2,0)-(3,0) where 3 consecutive targets rema",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 58,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.7273,
        "blue_efficiency": 0.15,
        "S": 32,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.7,
        "edges_at_risk": 28,
        "mean_thickness": 1.125,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.875,
        "d_min": 1,
        "d_mean": 4.5,
        "d_max": 8,
        "cost_access": 1,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 44,
        "position": [
          -4,
          2
        ],
        "facing": "→",
        "response_ms": 2174,
        "was_retry": false,
        "was_random": false,
        "note": "**Current state:** - W=12 (12 uncompleted targets) - BITE in 16 (very tight—I'm losing old completed edges faster than I'm reducing W) - Position [-5, 2], facing ↗ - I'm still west of the dense target",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 59,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7321,
        "blue_efficiency": 0.1463,
        "S": 33,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.69,
        "edges_at_risk": 29,
        "mean_thickness": 1.121,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8788,
        "d_min": 0,
        "d_mean": 3.75,
        "d_max": 7,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 45,
        "position": [
          -4,
          3
        ],
        "facing": "↓",
        "response_ms": 3156,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [-5,3] [BLUE] crosses edge (-5,3)-(-5,2). This completes TARGET (-5,3)-(-6,4)? NO—but it's a blocking move toward [-5,3] which is adjacent to the target cluster. Next: from [-5,3] pivot → tw",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 60,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7368,
        "blue_efficiency": 0.1429,
        "S": 34,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.68,
        "edges_at_risk": 30,
        "mean_thickness": 1.118,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8824,
        "d_min": 1,
        "d_mean": 3.88,
        "d_max": 7,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          -5,
          4
        ],
        "facing": "↙",
        "response_ms": 2579,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [-5,4] [BLUE] crosses edge (-5,4)-(-4,3). This does NOT reduce W (not a target), but it's a repositioning blue that builds a path toward the dense cluster. From [-5,4] I can pivot → to move ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 61,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7414,
        "blue_efficiency": 0.1395,
        "S": 35,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.68,
        "edges_at_risk": 31,
        "mean_thickness": 1.114,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8857,
        "d_min": 1,
        "d_mean": 5.29,
        "d_max": 8,
        "cost_access": 1,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 47,
        "position": [
          -5,
          3
        ],
        "facing": "↑",
        "response_ms": 2621,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↑ to [-5,3] [BLUE] crosses edge (-5,3)-(-5,4), completing TARGET (-5,3)-(-6,4). W drops to 11. BITE in 13 is critical—must chain eastward through the dense cluster at (0,0)-(2,0)-(3,0) within 9 m",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 62,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7458,
        "blue_efficiency": 0.1364,
        "S": 36,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.67,
        "edges_at_risk": 32,
        "mean_thickness": 1.111,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8889,
        "d_min": 0,
        "d_mean": 4.62,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 48,
        "position": [
          -4,
          3
        ],
        "facing": "→",
        "response_ms": 2642,
        "was_retry": false,
        "was_random": false,
        "note": "From [-4,3] facing →, move → to [-3,3] to pivot toward the dense eastern triple-target cluster at (0,0)-(2,0)-(3,0). This is a [BLUE] move that crosses edge (-4,3)-(-4,2)—check if it reduces W. If not",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 63,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.75,
        "blue_efficiency": 0.1333,
        "S": 37,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.67,
        "edges_at_risk": 33,
        "mean_thickness": 1.108,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8919,
        "d_min": 1,
        "d_mean": 3.88,
        "d_max": 7,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 49,
        "position": [
          -3,
          4
        ],
        "facing": "↘",
        "response_ms": 2975,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↘ to [-3,4] [BLUE] crosses edge (-4,3)-(-5,4). This edge is already DONE (thickness=1), so this move damages existing work but repositions me eastward. However, checking the map: I need to reach ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 64,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7541,
        "blue_efficiency": 0.1304,
        "S": 38,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.66,
        "edges_at_risk": 34,
        "mean_thickness": 1.105,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8947,
        "d_min": 2,
        "d_mean": 4.58,
        "d_max": 7,
        "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": 50,
        "position": [
          -3,
          5
        ],
        "facing": "↓",
        "response_ms": 2120,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↓ to [-3,5] [BLUE] crosses edge (-3,4)-(-3,5), a new edge created as completed. This does NOT reduce W directly (no target matches), but it repositions me one step closer to the eastern triple-ta",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 65,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7581,
        "blue_efficiency": 0.1277,
        "S": 39,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.65,
        "edges_at_risk": 35,
        "mean_thickness": 1.103,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8974,
        "d_min": 3,
        "d_mean": 5.54,
        "d_max": 8,
        "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": 51,
        "position": [
          -4,
          6
        ],
        "facing": "↙",
        "response_ms": 2727,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↙ to [-4,6] [BLUE] crosses a new edge but advances toward TARGET (-4,2)-(-5,3) and the northwestern cluster. From [-4,6] facing ↙, I can pivot back → or ↘ to chain eastward. With W=12 and BITE in",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 66,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.7619,
        "blue_efficiency": 0.125,
        "S": 40,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 99.65,
        "edges_at_risk": 36,
        "mean_thickness": 1.1,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9,
        "d_min": 3,
        "d_mean": 6.38,
        "d_max": 9,
        "cost_access": 1,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          -5,
          6
        ],
        "facing": "←",
        "response_ms": 2636,
        "was_retry": false,
        "was_random": false,
        "note": "Move ← to [-5,6] [BLUE] crosses TARGET (-4,2)-(-5,3) region. With W=12 and BITE in 8, I must reduce W every 1-2 steps or lose to bite decay. The northwestern cluster (targets around (-4,2)-(-5,3) and ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 67,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 2,
        "B_grey": 3,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.7656,
        "blue_efficiency": 0.1224,
        "S": 41,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": false,
        "bite_in": 6,
        "oxygen_pct": 99.64,
        "edges_at_risk": 37,
        "mean_thickness": 1.098,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9024,
        "d_min": 3,
        "d_mean": 7.25,
        "d_max": 10,
        "cost_access": 1,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 53,
        "position": [
          -6,
          5
        ],
        "facing": "↖",
        "response_ms": 2307,
        "was_retry": true,
        "was_random": false,
        "note": "Move ↖ to [-6,5] [BLUE] targets edge (-5,3)-(-4,3), which is DONE thickness=1. This is a safe blue move on existing terrain that does NOT create new targets. From [-6,5] facing ↖, I can then pivot to ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 68,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7692,
        "blue_efficiency": 0.12,
        "S": 42,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 99.64,
        "edges_at_risk": 38,
        "mean_thickness": 1.095,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9048,
        "d_min": 1,
        "d_mean": 6.25,
        "d_max": 9,
        "cost_access": 1,
        "nearest_edge": "(-5,3)-(-6,4)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 54,
        "position": [
          -5,
          4
        ],
        "facing": "↗",
        "response_ms": 2676,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↗ to [-5,4] [BLUE] crosses DONE edge (-6,4)-(-5,3) thickness=1. This preserves map geometry and repositions me toward the two remaining northwestern targets: (-4,2)-(-5,3) and (-5,3)-(-6,4). From",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 69,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.7727,
        "blue_efficiency": 0.1176,
        "S": 43,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 99.63,
        "edges_at_risk": 39,
        "mean_thickness": 1.093,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.907,
        "d_min": 1,
        "d_mean": 5.29,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 55,
        "position": [
          -4,
          5
        ],
        "facing": "↘",
        "response_ms": 1833,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↘ to [-4,5] [BLUE] crosses TARGET (-5,3)-(-6,4). This reduces W from 12→11 and targets the last northwestern incomplete edge. From [-4,5] facing ↘, pivot ↙ next turn to reach TARGET (-4,2)-(-5,3)",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 70,
        "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": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.7612,
        "blue_efficiency": 0.1176,
        "S": 43,
        "arrow": "↘",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 99.63,
        "edges_at_risk": 39,
        "mean_thickness": 1.093,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.907,
        "d_min": 2,
        "d_mean": 5.38,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(-4,2)-(-5,3)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-4,5)-(-3,6)"
        ],
        "total_edges": 56,
        "position": [
          -3,
          6
        ],
        "facing": "↘",
        "response_ms": 2624,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 11 (just reduced from 12) - BITE in 4 (very urgent) - Two targets remain in the northwest: (-4,2)-(-5,3) and (-3,1)-(-3,0) **Analysis:** From [-4, 5] facing ↘, I need to pivot to reach (-4,2)-(-",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 71,
        "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": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.75,
        "blue_efficiency": 0.1176,
        "S": 43,
        "arrow": "↘",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 99.62,
        "edges_at_risk": 39,
        "mean_thickness": 1.093,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.907,
        "d_min": 0,
        "d_mean": 6.12,
        "d_max": 9,
        "cost_access": 0,
        "nearest_edge": "(-4,5)-(-3,6)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-3,6)-(-2,7)"
        ],
        "total_edges": 57,
        "position": [
          -2,
          7
        ],
        "facing": "↘",
        "response_ms": 2792,
        "was_retry": false,
        "was_random": false,
        "note": "- W=13 (not 11 as notes suggested—the notes are out of sync) - BITE in 3 (critical—must reduce W immediately or lose thickness) - Two main targets remain: (-4,2)-(-5,3) and (-3,1)-(-3,0) **Evaluating ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 72,
        "level": 1,
        "cycle": 1,
        "W": 14,
        "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": 0.7536,
        "blue_efficiency": 0.1154,
        "S": 44,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 99.61,
        "edges_at_risk": 40,
        "mean_thickness": 1.091,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9091,
        "d_min": 0,
        "d_mean": 6.0,
        "d_max": 9,
        "cost_access": 0,
        "nearest_edge": "(-3,6)-(-2,7)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 58,
        "position": [
          -2,
          8
        ],
        "facing": "↓",
        "response_ms": 2356,
        "was_retry": false,
        "was_random": false,
        "note": "W=14, BITE in 2 (critical). ↓ [BLUE] to [-2,8] is the only move that directly reduces W by crossing a target edge. Must reduce W immediately or thickness loss from bite will cascade. After this move, ",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 73,
        "level": 1,
        "cycle": 1,
        "W": 15,
        "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": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.7571,
        "blue_efficiency": 0.1132,
        "S": 44,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 35,
        "oxygen_pct": 99.61,
        "edges_at_risk": 40,
        "mean_thickness": 1.091,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9091,
        "d_min": 1,
        "d_mean": 7.0,
        "d_max": 10,
        "cost_access": 0,
        "nearest_edge": "(-3,6)-(-2,7)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(3,0)-(2,1)"
        ],
        "new_targets_created": [],
        "total_edges": 59,
        "position": [
          -3,
          9
        ],
        "facing": "↙",
        "response_ms": 2998,
        "was_retry": false,
        "was_random": false,
        "note": "BITE in 1 is critical. ↙ [BLUE] to [-3,9] crosses target edge (-3,6)-(-2,7)... wait, let me verify: moving ↙ from [-2,8] goes to [-3,9]. The edge is (-3,8)-(-3,9). Checking map: no target listed for t",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 74,
        "level": 1,
        "cycle": 1,
        "W": 16,
        "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": 0.3,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.7465,
        "blue_efficiency": 0.1132,
        "S": 44,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 34,
        "oxygen_pct": 99.6,
        "edges_at_risk": 40,
        "mean_thickness": 1.091,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9091,
        "d_min": 3,
        "d_mean": 8.87,
        "d_max": 12,
        "cost_access": 0,
        "nearest_edge": "(-4,5)-(-3,6)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-3,9)-(-2,9)"
        ],
        "total_edges": 60,
        "position": [
          -2,
          9
        ],
        "facing": "→",
        "response_ms": 2799,
        "was_retry": false,
        "was_random": false,
        "note": "**Current state:** Position [-3,9], facing ↙, W=15, BITE in 35 steps **Critical analysis:** - W=15 means 15 target edges remain incomplete - BITE in 35 is manageable, but W is the primary constraint -",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 75,
        "level": 1,
        "cycle": 1,
        "W": 16,
        "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": 0.3,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.75,
        "blue_efficiency": 0.1111,
        "S": 45,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 33,
        "oxygen_pct": 99.6,
        "edges_at_risk": 41,
        "mean_thickness": 1.089,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9111,
        "d_min": 0,
        "d_mean": 7.69,
        "d_max": 11,
        "cost_access": 0,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 61,
        "position": [
          -3,
          8
        ],
        "facing": "↖",
        "response_ms": 2140,
        "was_retry": false,
        "was_random": false,
        "note": "Position [-2,9] facing →. Target (-3,9)-(-2,9) is directly north-west. ↖ [BLUE] to [-3,8] crosses this target edge and reduces W from 16→15. After this, reposition toward (-4,5)-(-3,6) cluster which h",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 76,
        "level": 1,
        "cycle": 1,
        "W": 17,
        "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": 0.4,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.7397,
        "blue_efficiency": 0.1111,
        "S": 45,
        "arrow": "↖",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 32,
        "oxygen_pct": 99.59,
        "edges_at_risk": 41,
        "mean_thickness": 1.089,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9111,
        "d_min": 1,
        "d_mean": 7.44,
        "d_max": 11,
        "cost_access": 1,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-3,8)-(-4,7)"
        ],
        "total_edges": 62,
        "position": [
          -4,
          7
        ],
        "facing": "↖",
        "response_ms": 2166,
        "was_retry": false,
        "was_random": false,
        "note": "Move ↖ [BLUE] to [-3,8] crosses target (-3,9)-(-2,9), reducing W from 16→15. After, plan grey repositioning toward (-4,5)-(-3,6) cluster (3 targets remain). BITE in 33 is tight; every blue move reduce",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 77,
        "level": 1,
        "cycle": 1,
        "W": 17,
        "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": 0.7432,
        "blue_efficiency": 0.1091,
        "S": 46,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 99.58,
        "edges_at_risk": 42,
        "mean_thickness": 1.087,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.913,
        "d_min": 0,
        "d_mean": 6.18,
        "d_max": 10,
        "cost_access": 0,
        "nearest_edge": "(-3,8)-(-4,7)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 63,
        "position": [
          -5,
          8
        ],
        "facing": "↙",
        "response_ms": 2119,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-5,8] crosses target (-3,8)-(-4,7), reducing W from 17→16. This completes the edge adjacent to current position and makes progress toward the (-4,5)-(-3,6) cluster. Reposition grey mov",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 78,
        "level": 1,
        "cycle": 1,
        "W": 17,
        "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": 0.7467,
        "blue_efficiency": 0.1071,
        "S": 47,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.58,
        "edges_at_risk": 43,
        "mean_thickness": 1.085,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9149,
        "d_min": 2,
        "d_mean": 7.85,
        "d_max": 12,
        "cost_access": 0,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 64,
        "position": [
          -5,
          9
        ],
        "facing": "↓",
        "response_ms": 3659,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-5,9] crosses target (-5,3)-(-6,4)? No—check edge between [-5,8] and [-5,9]: this is NOT a target. This is a GREY move creating new terrain. WRONG. Recalculate: from [-5,8] facing ↙, a",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 79,
        "level": 1,
        "cycle": 1,
        "W": 17,
        "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": 0.75,
        "blue_efficiency": 0.1053,
        "S": 48,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.57,
        "edges_at_risk": 44,
        "mean_thickness": 1.083,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9167,
        "d_min": 2,
        "d_mean": 8.76,
        "d_max": 13,
        "cost_access": 0,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 65,
        "position": [
          -4,
          9
        ],
        "facing": "→",
        "response_ms": 2770,
        "was_retry": false,
        "was_random": false,
        "note": "Move → [BLUE] crosses edge [-5,9]→[-4,9]. This edge is NOT listed as DONE or TARGET, so it will be created as BLUE (completed). This does NOT reduce W. However, → is marked [BLUE] and positions toward",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 80,
        "level": 1,
        "cycle": 1,
        "W": 18,
        "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": 0.4,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.7403,
        "blue_efficiency": 0.1053,
        "S": 48,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.57,
        "edges_at_risk": 44,
        "mean_thickness": 1.083,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9167,
        "d_min": 1,
        "d_mean": 7.85,
        "d_max": 12,
        "cost_access": 1,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-4,9)-(-3,9)"
        ],
        "total_edges": 66,
        "position": [
          -3,
          9
        ],
        "facing": "→",
        "response_ms": 3102,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 17 (17 uncompleted targets remaining) - BITE in 29 (urgent) - Last 3 notes show confusion about which moves actually reduce W **Critical analysis:** Looking at the available moves and my positio",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 81,
        "level": 1,
        "cycle": 1,
        "W": 18,
        "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": 0.3,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.7436,
        "blue_efficiency": 0.1034,
        "S": 49,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.56,
        "edges_at_risk": 45,
        "mean_thickness": 1.082,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9184,
        "d_min": 0,
        "d_mean": 7.56,
        "d_max": 12,
        "cost_access": 0,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 67,
        "position": [
          -3,
          8
        ],
        "facing": "↑",
        "response_ms": 3287,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-3,8] crosses edge (-3,9)-(-4,8)? No. From [-4,9] facing →, ↑ is +120° left. Check edge [-4,9]→[-3,8]: this is TARGET (-3,8)-(-4,7) reversed, or (-4,7)-(-3,8)? Map shows TARGET (-3,8)-",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 82,
        "level": 1,
        "cycle": 1,
        "W": 19,
        "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": 0.4,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.7342,
        "blue_efficiency": 0.1034,
        "S": 49,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.55,
        "edges_at_risk": 45,
        "mean_thickness": 1.082,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9184,
        "d_min": 0,
        "d_mean": 6.72,
        "d_max": 11,
        "cost_access": 0,
        "nearest_edge": "(-3,8)-(-4,7)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-3,8)-(-3,7)"
        ],
        "total_edges": 68,
        "position": [
          -3,
          7
        ],
        "facing": "↑",
        "response_ms": 2984,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 18 (18 uncompleted targets) - BITE in 27 (very urgent) - Available moves include both BLUE and GREY options **Analyzing the available moves:** Looking at the remaining targets near my position: -",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 83,
        "level": 1,
        "cycle": 1,
        "W": 19,
        "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": 0.7375,
        "blue_efficiency": 0.1017,
        "S": 50,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.55,
        "edges_at_risk": 46,
        "mean_thickness": 1.08,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.92,
        "d_min": 0,
        "d_mean": 5.71,
        "d_max": 10,
        "cost_access": 0,
        "nearest_edge": "(-3,8)-(-3,7)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 69,
        "position": [
          -4,
          8
        ],
        "facing": "↙",
        "response_ms": 3030,
        "was_retry": false,
        "was_random": false,
        "note": "Move [BLUE] to [-4,8] crosses edge (-3,8)-(-4,7), which is TARGET (-3,8)-(-4,7). Wait—verify: from [-3,7] facing ↑, ↙ goes to [-4,8]. Edge crossed: (-3,7)-(-4,8). This is NOT a target. Recheck availab",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1,
          "(-3,7)-(-4,8)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 84,
        "level": 1,
        "cycle": 1,
        "W": 20,
        "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": 0.7284,
        "blue_efficiency": 0.1017,
        "S": 50,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.54,
        "edges_at_risk": 46,
        "mean_thickness": 1.08,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.92,
        "d_min": 1,
        "d_mean": 6.37,
        "d_max": 11,
        "cost_access": 1,
        "nearest_edge": "(-3,8)-(-4,7)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-4,8)-(-5,9)"
        ],
        "total_edges": 70,
        "position": [
          -5,
          9
        ],
        "facing": "↙",
        "response_ms": 5866,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 19 (19 uncompleted targets remain) - BITE in 25 (urgent) - Available moves with [BLUE] labels: →, ↘, ↓ **Key insight from notes:** I've been making errors about which edges actually reduce W. I n",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1,
          "(-3,7)-(-4,8)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 85,
        "level": 1,
        "cycle": 1,
        "W": 21,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.7195,
        "blue_efficiency": 0.1017,
        "S": 50,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.54,
        "edges_at_risk": 46,
        "mean_thickness": 1.08,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.92,
        "d_min": 0,
        "d_mean": 7.7,
        "d_max": 13,
        "cost_access": 0,
        "nearest_edge": "(-4,8)-(-5,9)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-5,9)-(-6,10)"
        ],
        "total_edges": 71,
        "position": [
          -6,
          10
        ],
        "facing": "↙",
        "response_ms": 2810,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 20 (20 uncompleted targets) - BITE in 24 (very urgent - need to reduce W quickly) - Three [BLUE] moves available: →, ↘, ↓ **Analyzing the [BLUE] moves:** 1. **→ to [-4, 9]**: Crosses edge (-5,9)-",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1,
          "(-3,7)-(-4,8)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 86,
        "level": 1,
        "cycle": 1,
        "W": 21,
        "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": 0.7229,
        "blue_efficiency": 0.1,
        "S": 51,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.53,
        "edges_at_risk": 47,
        "mean_thickness": 1.078,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9216,
        "d_min": 0,
        "d_mean": 8.29,
        "d_max": 14,
        "cost_access": 0,
        "nearest_edge": "(-5,9)-(-6,10)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 72,
        "position": [
          -5,
          11
        ],
        "facing": "↘",
        "response_ms": 2721,
        "was_retry": false,
        "was_random": false,
        "note": "**Current position:** [-6, 10] facing ↙ **W: 21** (need to reduce urgently, BITE in 23) **Analyzing the [BLUE] moves:** 1. **↘ to [-5, 11]**: Edge crossed is (-6,10)-(-5,11). Checking targets... I nee",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1,
          "(-3,7)-(-4,8)": 1,
          "(-6,10)-(-5,11)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 87,
        "level": 1,
        "cycle": 1,
        "W": 21,
        "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": 0.7262,
        "blue_efficiency": 0.0984,
        "S": 52,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.52,
        "edges_at_risk": 48,
        "mean_thickness": 1.077,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9231,
        "d_min": 2,
        "d_mean": 9.26,
        "d_max": 15,
        "cost_access": 0,
        "nearest_edge": "(-4,8)-(-5,9)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 73,
        "position": [
          -4,
          11
        ],
        "facing": "→",
        "response_ms": 2639,
        "was_retry": false,
        "was_random": false,
        "note": "**Current state:** W=21, BITE in 22, position [-5, 11] facing ↙ **Analysis of [BLUE] moves:** - **→ to [-4, 11]**: Crosses edge (-5,11)-(-4,11). Checking targets... this doesn't match any TARGET in th",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1,
          "(-3,7)-(-4,8)": 1,
          "(-6,10)-(-5,11)": 1,
          "(-5,11)-(-4,11)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 88,
        "level": 1,
        "cycle": 1,
        "W": 22,
        "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": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.7176,
        "blue_efficiency": 0.0984,
        "S": 52,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.52,
        "edges_at_risk": 48,
        "mean_thickness": 1.077,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9231,
        "d_min": 2,
        "d_mean": 8.4,
        "d_max": 14,
        "cost_access": 0,
        "nearest_edge": "(-3,9)-(-2,9)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-4,11)-(-3,11)"
        ],
        "total_edges": 74,
        "position": [
          -3,
          11
        ],
        "facing": "→",
        "response_ms": 2811,
        "was_retry": false,
        "was_random": false,
        "note": "**Current state:** W=21, BITE in 21, position [-4, 11] facing → **Analysis of available moves:** - All moves shown are either GREY or BLUE - The [BLUE] moves available are: ↖ to [-5, 10], ↑ to [-4, 10",
        "thickness_map": {
          "(2,1)-(1,0)": 1,
          "(1,-1)-(1,0)": 1,
          "(1,1)-(1,2)": 1,
          "(1,2)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(0,2)-(0,3)": 1,
          "(0,3)-(1,2)": 1,
          "(1,0)-(0,1)": 1,
          "(0,1)-(-1,2)": 1,
          "(-1,2)-(-2,3)": 2,
          "(-2,3)-(-1,3)": 1,
          "(-1,3)-(-2,2)": 1,
          "(-2,3)-(-2,4)": 1,
          "(-2,4)-(-1,3)": 2,
          "(-2,4)-(-1,4)": 2,
          "(-1,4)-(-1,3)": 2,
          "(-2,2)-(-1,1)": 1,
          "(0,0)-(0,1)": 1,
          "(-1,2)-(-2,2)": 1,
          "(-2,2)-(-3,1)": 1,
          "(-3,0)-(-3,-1)": 1,
          "(-3,-1)-(-2,0)": 1,
          "(-2,0)-(-2,1)": 1,
          "(-2,1)-(-3,1)": 1,
          "(-3,1)-(-4,0)": 1,
          "(-4,0)-(-3,-1)": 1,
          "(-3,1)-(-4,2)": 1,
          "(-6,4)-(-6,3)": 1,
          "(-6,3)-(-5,2)": 1,
          "(-5,2)-(-4,2)": 1,
          "(-4,2)-(-4,3)": 1,
          "(-4,3)-(-5,4)": 1,
          "(-5,4)-(-5,3)": 1,
          "(-5,3)-(-4,3)": 1,
          "(-4,3)-(-3,4)": 1,
          "(-3,4)-(-3,5)": 1,
          "(-3,5)-(-4,6)": 1,
          "(-4,6)-(-5,6)": 1,
          "(-5,6)-(-6,5)": 1,
          "(-6,5)-(-5,4)": 1,
          "(-5,4)-(-4,5)": 1,
          "(-2,7)-(-2,8)": 1,
          "(-2,8)-(-3,9)": 1,
          "(-2,9)-(-3,8)": 1,
          "(-4,7)-(-5,8)": 1,
          "(-5,8)-(-5,9)": 1,
          "(-5,9)-(-4,9)": 1,
          "(-3,9)-(-3,8)": 1,
          "(-3,7)-(-4,8)": 1,
          "(-6,10)-(-5,11)": 1,
          "(-5,11)-(-4,11)": 1
        },
        "target_stability": 0.8
      }
    ],
    "trajectory_summary": {
      "total_steps": 85,
      "levels_in_trajectory": 0,
      "W_initial": 3,
      "W_final": 22,
      "W_min": 2,
      "W_max": 22,
      "W_mean": 10.28,
      "total_edges_colored": 6,
      "total_edges_reverted": 5,
      "total_targets_created": 23,
      "expansion_steps": 21,
      "B_initial": 7,
      "B_final": 7,
      "B_min": 5,
      "B_max": 7,
      "B_mean": 6.91,
      "B_collapse_step": null,
      "rho_eff_mean": 0.078,
      "rho_eff_final": 0.0,
      "epsilon_passive_mean": 0.0588,
      "epsilon_active_mean": 0.3177,
      "epsilon_total_mean": 0.3766,
      "rho_eq_epsilon_step": 14,
      "dW_positive_count": 25,
      "dW_negative_count": 6,
      "dW_zero_count": 54,
      "dW_mean": 0.2235,
      "blue_total": 61,
      "grey_total": 24,
      "blue_pct": 71.8,
      "w_reductions_total": 6,
      "blue_efficiency": 0.0984,
      "erosion_pressure_mean": 0.9165,
      "erosion_pressure_max": 1.0,
      "W_inflection_step": 6,
      "B_W_correlation": -0.079,
      "d_min_mean": 0.75,
      "d_min_max": 3,
      "d_min_spike_step": 30,
      "d_min_at_W1": null,
      "d_W_correlation": 0.2153,
      "cost_access_mean": 0.25,
      "cost_access_max": 1,
      "cost_spike_step": null,
      "cost_at_W1": null,
      "cost_W_correlation": 0.0679,
      "dw_pos_ratio_when_far": 1.0,
      "target_switch_count": 52,
      "mean_B_at_switch": 6.9,
      "switch_to_drift_ratio": 0.596,
      "target_stability_mean": 0.585,
      "target_stability_max": 1.0,
      "target_instability_step": 5,
      "phases": [
        {
          "start_step": 4,
          "end_step": 20,
          "n_steps": 17,
          "mean_dW": 0.176,
          "mean_B": 7,
          "mean_rho_eff": 0.1194,
          "mean_eps_passive": 0.0,
          "mean_eps_active": 0.7769,
          "mean_rho_minus_eps": -0.6575,
          "mean_erosion_pressure": 1.0,
          "blue_count": 11,
          "grey_count": 6,
          "w_reductions": 2,
          "expansions": 8,
          "reversions": 0,
          "mean_d_min": 0.24,
          "mean_cost_access": 0.12
        },
        {
          "start_step": 21,
          "end_step": 37,
          "n_steps": 17,
          "mean_dW": 0.118,
          "mean_B": 6.88,
          "mean_rho_eff": 0.1471,
          "mean_eps_passive": 0.0235,
          "mean_eps_active": 0.1882,
          "mean_rho_minus_eps": -0.0647,
          "mean_erosion_pressure": 0.9476,
          "blue_count": 13,
          "grey_count": 4,
          "w_reductions": 2,
          "expansions": 2,
          "reversions": 2,
          "mean_d_min": 0.82,
          "mean_cost_access": 0.29
        },
        {
          "start_step": 38,
          "end_step": 54,
          "n_steps": 17,
          "mean_dW": 0.176,
          "mean_B": 6.94,
          "mean_rho_eff": 0.0882,
          "mean_eps_passive": 0.1706,
          "mean_eps_active": 0.1235,
          "mean_rho_minus_eps": -0.2059,
          "mean_erosion_pressure": 0.8292,
          "blue_count": 13,
          "grey_count": 4,
          "w_reductions": 2,
          "expansions": 3,
          "reversions": 2,
          "mean_d_min": 0.65,
          "mean_cost_access": 0.18
        },
        {
          "start_step": 55,
          "end_step": 71,
          "n_steps": 17,
          "mean_dW": 0.176,
          "mean_B": 6.76,
          "mean_rho_eff": 0.0353,
          "mean_eps_passive": 0.0412,
          "mean_eps_active": 0.1294,
          "mean_rho_minus_eps": -0.1353,
          "mean_erosion_pressure": 0.8896,
          "blue_count": 14,
          "grey_count": 3,
          "w_reductions": 0,
          "expansions": 3,
          "reversions": 0,
          "mean_d_min": 1.18,
          "mean_cost_access": 0.47
        },
        {
          "start_step": 72,
          "end_step": 88,
          "n_steps": 17,
          "mean_dW": 0.471,
          "mean_B": 6.94,
          "mean_rho_eff": 0.0,
          "mean_eps_passive": 0.0588,
          "mean_eps_active": 0.3706,
          "mean_rho_minus_eps": -0.4294,
          "mean_erosion_pressure": 0.9162,
          "blue_count": 10,
          "grey_count": 7,
          "w_reductions": 0,
          "expansions": 7,
          "reversions": 1,
          "mean_d_min": 0.88,
          "mean_cost_access": 0.18
        }
      ],
      "retry_count": 1,
      "random_fallback_count": 0,
      "first_pass_valid_pct": 98.8,
      "mean_response_ms": 2442.2
    }
  },
  {
    "run_id": "4ef6cf77",
    "runner_version": "4.4",
    "timestamp": "2026-03-04T09:04:28.622002",
    "provider": "anthropic",
    "model": "claude-haiku-4-5-20251001",
    "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": 25754,
    "total_tokens_out": 4632,
    "total_cache_read": 0,
    "total_retries": 4,
    "shapes_count": 0,
    "shapes": [],
    "bridge_stats": {},
    "notes_history": [],
    "trajectory": [
      {
        "step": 4,
        "level": 1,
        "cycle": 1,
        "W": 4,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 4,
        "B": 7,
        "B_blue": 6,
        "B_grey": 1,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 4.0,
        "epsilon_total": 4.0,
        "rho_minus_epsilon": -4.0,
        "blue_ratio_cum": 0.0,
        "blue_efficiency": 0,
        "S": 0,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 34,
        "oxygen_pct": 100,
        "edges_at_risk": 0,
        "mean_thickness": 0,
        "max_thickness": 0,
        "min_thickness": 0,
        "erosion_pressure": 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": [
          "(3,0)-(4,0)",
          "(1,0)-(2,0)",
          "(0,0)-(1,0)",
          "(2,0)-(3,0)"
        ],
        "total_edges": 4,
        "position": [
          4,
          0
        ],
        "facing": "→",
        "response_ms": 2840,
        "was_retry": false,
        "was_random": false,
        "note": "- All three targets are consecutive edges going left: (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0) **Key insight:** I'm at position [3,0]. The targets form a chain from [0,0] to [3,0]. To complete them, I ne",
        "target_stability": null
      },
      {
        "step": 5,
        "level": 1,
        "cycle": 1,
        "W": 5,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 6,
        "B_grey": 1,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 2.5,
        "epsilon_total": 2.5,
        "rho_minus_epsilon": -2.5,
        "blue_ratio_cum": 0.0,
        "blue_efficiency": 0,
        "S": 0,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 33,
        "oxygen_pct": 100,
        "edges_at_risk": 0,
        "mean_thickness": 0,
        "max_thickness": 0,
        "min_thickness": 0,
        "erosion_pressure": 0,
        "d_min": 0,
        "d_mean": 2.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(3,0)-(4,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(4,0)-(5,0)"
        ],
        "total_edges": 5,
        "position": [
          5,
          0
        ],
        "facing": "→",
        "response_ms": 2345,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 4 (all 4 target edges are incomplete) - All targets are on the line from (0,0)-(1,0) to (3,0)-(4,0) - I'm at position [4, 0], which is the rightmost point of the targets **Target Analysis:** The",
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 1,
        "cycle": 1,
        "W": 6,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 6,
        "B_grey": 1,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 2.0,
        "epsilon_total": 2.0,
        "rho_minus_epsilon": -2.0,
        "blue_ratio_cum": 0.0,
        "blue_efficiency": 0,
        "S": 0,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 32,
        "oxygen_pct": 100,
        "edges_at_risk": 0,
        "mean_thickness": 0,
        "max_thickness": 0,
        "min_thickness": 0,
        "erosion_pressure": 0,
        "d_min": 0,
        "d_mean": 2.5,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(4,0)-(5,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(5,0)-(6,0)"
        ],
        "total_edges": 6,
        "position": [
          6,
          0
        ],
        "facing": "→",
        "response_ms": 3070,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 5 (all 5 target edges incomplete) - All targets are on the line from (0,0) to (5,0) - I'm at the rightmost target edge endpoint **Available Moves:** - 1 GREY move (→): goes to [6,0] - 6 BLUE mov",
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 1,
        "cycle": 1,
        "W": 7,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 6,
        "B_grey": 1,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.75,
        "epsilon_total": 1.75,
        "rho_minus_epsilon": -1.75,
        "blue_ratio_cum": 0.0,
        "blue_efficiency": 0,
        "S": 0,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 100,
        "edges_at_risk": 0,
        "mean_thickness": 0,
        "max_thickness": 0,
        "min_thickness": 0,
        "erosion_pressure": 0,
        "d_min": 0,
        "d_mean": 3.0,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(5,0)-(6,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(6,0)-(7,0)"
        ],
        "total_edges": 7,
        "position": [
          7,
          0
        ],
        "facing": "→",
        "response_ms": 3429,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 6 (all 6 target edges incomplete) - All targets are on the line from (0,0) to (6,0) - I'm at the rightmost point of this line **Key Insight:** I'm positioned at [6, 0], and the target edges form",
        "target_stability": 1.0
      },
      {
        "step": 8,
        "level": 1,
        "cycle": 1,
        "W": 8,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 6,
        "B_blue": 6,
        "B_grey": 0,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.6,
        "epsilon_total": 1.6,
        "rho_minus_epsilon": -1.6,
        "blue_ratio_cum": 0.0,
        "blue_efficiency": 0,
        "S": 0,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.99,
        "edges_at_risk": 0,
        "mean_thickness": 0,
        "max_thickness": 0,
        "min_thickness": 0,
        "erosion_pressure": 0,
        "d_min": 0,
        "d_mean": 3.5,
        "d_max": 7,
        "cost_access": 0,
        "nearest_edge": "(6,0)-(7,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(7,0)-(8,0)"
        ],
        "total_edges": 8,
        "position": [
          8,
          0
        ],
        "facing": "→",
        "response_ms": 3109,
        "was_retry": false,
        "was_random": false,
        "note": "**Current State:** - Position: [7, 0] facing → (right) - W: 7 (all 7 target edges from (0,0)-(1,0) through (6,0)-(7,0) are NOT completed) - I'm at the rightmost end of the target line **Key Insight:**",
        "target_stability": 1.0
      },
      {
        "step": 9,
        "level": 1,
        "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": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.3333,
        "epsilon_total": 1.3333,
        "rho_minus_epsilon": -1.3333,
        "blue_ratio_cum": 0.1667,
        "blue_efficiency": 0.0,
        "S": 1,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": false,
        "bite_in": 29,
        "oxygen_pct": 99.99,
        "edges_at_risk": 1,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 4.0,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(7,0)-(8,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          8,
          -1
        ],
        "facing": "↑",
        "response_ms": 3078,
        "was_retry": true,
        "was_random": true,
        "note": "(random fallback)",
        "thickness_map": {
          "(8,0)-(8,-1)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 10,
        "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": 1.2857,
        "epsilon_total": 1.2857,
        "rho_minus_epsilon": -1.2857,
        "blue_ratio_cum": 0.1429,
        "blue_efficiency": 0.0,
        "S": 1,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.98,
        "edges_at_risk": 1,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 4.19,
        "d_max": 8,
        "cost_access": 1,
        "nearest_edge": "(7,0)-(8,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(8,-1)-(8,-2)"
        ],
        "total_edges": 10,
        "position": [
          8,
          -2
        ],
        "facing": "↑",
        "response_ms": 3016,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 8 (8 non-completed target edges remain) - DONE = 1 (I've completed 1 edge) - All targets are on the line from (0,0)-(1,0) through (7,0)-(8,0) - I'm already at the eastern end, having completed (",
        "thickness_map": {
          "(8,0)-(8,-1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 11,
        "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": 1.25,
        "epsilon_total": 1.25,
        "rho_minus_epsilon": -1.25,
        "blue_ratio_cum": 0.125,
        "blue_efficiency": 0.0,
        "S": 1,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.98,
        "edges_at_risk": 1,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 4.17,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(8,-1)-(8,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(8,-2)-(8,-3)"
        ],
        "total_edges": 11,
        "position": [
          8,
          -3
        ],
        "facing": "↑",
        "response_ms": 2762,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 9 (9 incomplete target edges) - DONE = 1 (only one edge completed) - BITE in 28 steps - O2 at 100% **Target Analysis:** The targets form a horizontal line from (0,0)-(1,0) through (8,0)-(8,-2). ",
        "thickness_map": {
          "(8,0)-(8,-1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 12,
        "level": 1,
        "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": 1.2222,
        "epsilon_total": 1.2222,
        "rho_minus_epsilon": -1.2222,
        "blue_ratio_cum": 0.1111,
        "blue_efficiency": 0.0,
        "S": 1,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.97,
        "edges_at_risk": 1,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 4.45,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(8,-2)-(8,-3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(8,-3)-(8,-4)"
        ],
        "total_edges": 12,
        "position": [
          8,
          -4
        ],
        "facing": "↑",
        "response_ms": 2850,
        "was_retry": false,
        "was_random": false,
        "note": "- O2: 100% (plenty) - BITE in 27 steps **Target Analysis:** Looking at the targets, I see: - A horizontal line of targets from (0,0)-(1,0) through (7,0)-(8,0) — that's 8 targets - A vertical line at x",
        "thickness_map": {
          "(8,0)-(8,-1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 13,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 1.2,
        "epsilon_total": 1.2,
        "rho_minus_epsilon": -1.2,
        "blue_ratio_cum": 0.1,
        "blue_efficiency": 0.0,
        "S": 1,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.96,
        "edges_at_risk": 1,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 4.95,
        "d_max": 8,
        "cost_access": 0,
        "nearest_edge": "(8,-3)-(8,-4)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(8,-4)-(8,-5)"
        ],
        "total_edges": 13,
        "position": [
          8,
          -5
        ],
        "facing": "↑",
        "response_ms": 2840,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 11 (11 incomplete targets remaining) - DONE: 1 edge completed - BITE in 26 steps **Target Analysis:** The targets form two segments: 1. Horizontal line: (0,0)-(1,0) through (7,0)-(8,0) — 8 edges ",
        "thickness_map": {
          "(8,0)-(8,-1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 14,
        "level": 1,
        "cycle": 1,
        "W": 12,
        "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": 0.1818,
        "blue_efficiency": 0.0,
        "S": 2,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": false,
        "bite_in": 24,
        "oxygen_pct": 99.96,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 5.5,
        "d_max": 9,
        "cost_access": 0,
        "nearest_edge": "(8,-4)-(8,-5)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          7,
          -4
        ],
        "facing": "↙",
        "response_ms": 2834,
        "was_retry": true,
        "was_random": false,
        "note": "",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 15,
        "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": 0.8,
        "epsilon_total": 0.8,
        "rho_minus_epsilon": -0.8,
        "blue_ratio_cum": 0.1667,
        "blue_efficiency": 0.0,
        "S": 2,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.95,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 4.08,
        "d_max": 7,
        "cost_access": 1,
        "nearest_edge": "(8,-2)-(8,-3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(7,-4)-(6,-3)"
        ],
        "total_edges": 15,
        "position": [
          6,
          -3
        ],
        "facing": "↙",
        "response_ms": 2541,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 12 (12 non-completed target edges) - DONE: 2 edges completed - O2: 100% - BITE in 24 steps **Target Analysis:** The targets form two chains: 1. Horizontal chain: (0,0)-(1,0) through (8,0)-(8,-1) ",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 16,
        "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": 0.1538,
        "blue_efficiency": 0.0,
        "S": 2,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.95,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 3.5,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(7,-4)-(6,-3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(6,-3)-(5,-2)"
        ],
        "total_edges": 16,
        "position": [
          5,
          -2
        ],
        "facing": "↙",
        "response_ms": 2774,
        "was_retry": false,
        "was_random": false,
        "note": "**Current State:** - Position: [6, -3] - W = 13 (13 non-completed target edges) - DONE = 2 (2 completed edges) - O2 = 100% - BITE in 23 steps - Facing: ↙ **Available Moves Analysis:** The map shows tw",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 17,
        "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": 0.1429,
        "blue_efficiency": 0.0,
        "S": 2,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.94,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 2.89,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(6,-3)-(5,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(5,-2)-(4,-1)"
        ],
        "total_edges": 17,
        "position": [
          4,
          -1
        ],
        "facing": "↙",
        "response_ms": 2766,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 14 (14 non-completed target edges) - DONE: 2 edges completed - O2: 100% (plenty of time) - BITE in 22 steps **Target Analysis:** Looking at the targets, I see: 1. A horizontal line of targets fro",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 18,
        "level": 1,
        "cycle": 1,
        "W": 16,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 4,
        "B_blue": 1,
        "B_grey": 3,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8,
        "epsilon_total": 0.8,
        "rho_minus_epsilon": -0.8,
        "blue_ratio_cum": 0.1333,
        "blue_efficiency": 0.0,
        "S": 2,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.93,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 2.87,
        "d_max": 6,
        "cost_access": 0,
        "nearest_edge": "(5,-2)-(4,-1)",
        "target_switch": true,
        "B_at_switch": 4,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(4,-1)-(3,0)"
        ],
        "total_edges": 18,
        "position": [
          3,
          0
        ],
        "facing": "↙",
        "response_ms": 2561,
        "was_retry": false,
        "was_random": false,
        "note": "- W = 15 (15 incomplete targets remaining) - DONE = 2 (2 completed edges) - BITE in 21 steps - O2 is good at 99.9% **Target Analysis:** Looking at the targets, there's a clear path along the top: - (0",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 19,
        "level": 1,
        "cycle": 1,
        "W": 16,
        "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": 0.1875,
        "blue_efficiency": 0.0,
        "S": 3,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": false,
        "bite_in": 19,
        "oxygen_pct": 99.93,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 3.41,
        "d_max": 8,
        "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": 19,
        "position": [
          3,
          1
        ],
        "facing": "↓",
        "response_ms": 2726,
        "was_retry": true,
        "was_random": false,
        "note": "",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1,
          "(3,0)-(3,1)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 20,
        "level": 1,
        "cycle": 1,
        "W": 17,
        "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": 0.1765,
        "blue_efficiency": 0.0,
        "S": 3,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.92,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 4.06,
        "d_max": 9,
        "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": 20,
        "position": [
          3,
          2
        ],
        "facing": "↓",
        "response_ms": 2705,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 16 (16 non-completed target edges) - DONE: 3 (3 completed edges) - BITE in 19 steps - O2: 99.9% **Available Moves Analysis:** BLUE moves (reduce W): - → [4, 1] BLUE - ↘ [4, 2] BLUE - ↗ [4, 0] BLU",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1,
          "(3,0)-(3,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 21,
        "level": 1,
        "cycle": 1,
        "W": 18,
        "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": 0.1667,
        "blue_efficiency": 0.0,
        "S": 3,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.92,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 4.71,
        "d_max": 10,
        "cost_access": 0,
        "nearest_edge": "(3,1)-(3,2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,2)-(3,3)"
        ],
        "total_edges": 21,
        "position": [
          3,
          3
        ],
        "facing": "↓",
        "response_ms": 2567,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 17 (17 non-completed target edges remaining) - DONE: 3 edges completed - BITE in 18 steps - O2: 99.9% (plenty) **Available Moves Analysis:** BLUE moves (reduce W): - → [4, 2] [BLUE] - moves right",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1,
          "(3,0)-(3,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 22,
        "level": 1,
        "cycle": 1,
        "W": 19,
        "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": 0.1579,
        "blue_efficiency": 0.0,
        "S": 3,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.91,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 5.42,
        "d_max": 11,
        "cost_access": 0,
        "nearest_edge": "(3,2)-(3,3)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,3)-(3,4)"
        ],
        "total_edges": 22,
        "position": [
          3,
          4
        ],
        "facing": "↓",
        "response_ms": 2747,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 18 (18 incomplete target edges) - DONE: 3 edges completed - BITE in 17 steps - O2: 99.9% **Key Observations:** 1. **Target Map Analysis:** The targets form two main lines: - Horizontal line: (0,0",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1,
          "(3,0)-(3,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 23,
        "level": 1,
        "cycle": 1,
        "W": 20,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 3,
        "B_blue": 0,
        "B_grey": 3,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8,
        "epsilon_total": 0.8,
        "rho_minus_epsilon": -0.8,
        "blue_ratio_cum": 0.15,
        "blue_efficiency": 0.0,
        "S": 3,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.9,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 6.11,
        "d_max": 12,
        "cost_access": 0,
        "nearest_edge": "(3,3)-(3,4)",
        "target_switch": true,
        "B_at_switch": 3,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,4)-(3,5)"
        ],
        "total_edges": 23,
        "position": [
          3,
          5
        ],
        "facing": "↓",
        "response_ms": 2446,
        "was_retry": false,
        "was_random": false,
        "note": "- W: 19 (19 non-completed target edges remaining) - DONE: 3 edges completed - BITE in 16 steps (urgency: need to reduce W faster than bite can undo work) - O2: 99.9% (not a constraint yet) **Available",
        "thickness_map": {
          "(8,0)-(8,-1)": 1,
          "(8,-5)-(7,-4)": 1,
          "(3,0)-(3,1)": 1
        },
        "target_stability": 0.8
      }
    ],
    "trajectory_summary": {
      "total_steps": 20,
      "levels_in_trajectory": 0,
      "W_initial": 4,
      "W_final": 20,
      "W_min": 4,
      "W_max": 20,
      "W_mean": 12,
      "total_edges_colored": 0,
      "total_edges_reverted": 0,
      "total_targets_created": 20,
      "expansion_steps": 17,
      "B_initial": 7,
      "B_final": 3,
      "B_min": 3,
      "B_max": 7,
      "B_mean": 6.5,
      "B_collapse_step": null,
      "rho_eff_mean": 0.0,
      "rho_eff_final": 0.0,
      "epsilon_passive_mean": 0.0,
      "epsilon_active_mean": 1.3071,
      "epsilon_total_mean": 1.3071,
      "rho_eq_epsilon_step": 14,
      "dW_positive_count": 16,
      "dW_negative_count": 0,
      "dW_zero_count": 4,
      "dW_mean": 0.8,
      "blue_total": 3,
      "grey_total": 17,
      "blue_pct": 15.0,
      "w_reductions_total": 0,
      "blue_efficiency": 0.0,
      "erosion_pressure_mean": 0.75,
      "erosion_pressure_max": 1.0,
      "W_inflection_step": 4,
      "B_W_correlation": -0.3814,
      "d_min_mean": 0.15,
      "d_min_max": 1,
      "d_min_spike_step": null,
      "d_min_at_W1": null,
      "d_W_correlation": 0.0896,
      "cost_access_mean": 0.15,
      "cost_access_max": 1,
      "cost_spike_step": null,
      "cost_at_W1": null,
      "cost_W_correlation": 0.0896,
      "dw_pos_ratio_when_far": null,
      "target_switch_count": 17,
      "mean_B_at_switch": 6.4,
      "switch_to_drift_ratio": 0.941,
      "target_stability_mean": 0.895,
      "target_stability_max": 1.0,
      "target_instability_step": 5,
      "phases": [
        {
          "start_step": 4,
          "end_step": 8,
          "n_steps": 5,
          "mean_dW": 0.8,
          "mean_B": 6.8,
          "mean_rho_eff": 0.0,
          "mean_eps_passive": 0.0,
          "mean_eps_active": 2.37,
          "mean_rho_minus_eps": -2.37,
          "mean_erosion_pressure": 0,
          "blue_count": 0,
          "grey_count": 5,
          "w_reductions": 0,
          "expansions": 8,
          "reversions": 0,
          "mean_d_min": 0,
          "mean_cost_access": 0
        },
        {
          "start_step": 9,
          "end_step": 13,
          "n_steps": 5,
          "mean_dW": 0.8,
          "mean_B": 6.6,
          "mean_rho_eff": 0.0,
          "mean_eps_passive": 0.0,
          "mean_eps_active": 1.2582,
          "mean_rho_minus_eps": -1.2582,
          "mean_erosion_pressure": 1.0,
          "blue_count": 1,
          "grey_count": 4,
          "w_reductions": 0,
          "expansions": 4,
          "reversions": 0,
          "mean_d_min": 0.2,
          "mean_cost_access": 0.2
        },
        {
          "start_step": 14,
          "end_step": 18,
          "n_steps": 5,
          "mean_dW": 0.8,
          "mean_B": 6.4,
          "mean_rho_eff": 0.0,
          "mean_eps_passive": 0.0,
          "mean_eps_active": 0.8,
          "mean_rho_minus_eps": -0.8,
          "mean_erosion_pressure": 1.0,
          "blue_count": 1,
          "grey_count": 4,
          "w_reductions": 0,
          "expansions": 4,
          "reversions": 0,
          "mean_d_min": 0.2,
          "mean_cost_access": 0.2
        },
        {
          "start_step": 19,
          "end_step": 23,
          "n_steps": 5,
          "mean_dW": 0.8,
          "mean_B": 6.2,
          "mean_rho_eff": 0.0,
          "mean_eps_passive": 0.0,
          "mean_eps_active": 0.8,
          "mean_rho_minus_eps": -0.8,
          "mean_erosion_pressure": 1.0,
          "blue_count": 1,
          "grey_count": 4,
          "w_reductions": 0,
          "expansions": 4,
          "reversions": 0,
          "mean_d_min": 0.2,
          "mean_cost_access": 0.2
        }
      ],
      "retry_count": 3,
      "random_fallback_count": 1,
      "first_pass_valid_pct": 85.0,
      "mean_response_ms": 2800.3
    }
  }
]