[
  {
    "run_id": "aff76808",
    "runner_version": "4.4",
    "timestamp": "2026-03-04T23:04:04.774589",
    "provider": "openai_flagship",
    "model": "gpt-5.2",
    "condition": "ON",
    "experiment": "v4.4_bridge_paired",
    "bridge_enabled": true,
    "bridge_prompt": "You will see your last 3 NOTES at each step. These persist across turns and are the only information carried forward. Write one constraint your next move must obey.",
    "max_tokens_base": 200,
    "token_budget_controlled": true,
    "termination_reason": "interrupted",
    "final_cycle": 1,
    "final_level": 10,
    "total_steps": 152,
    "final_oxygen": 97.97,
    "total_tokens_in": 494989,
    "total_tokens_out": 17305,
    "total_cache_read": 0,
    "total_retries": 0,
    "shapes_count": 9,
    "shapes": [
      {
        "c": 1,
        "l": 1,
        "step": 31
      },
      {
        "c": 1,
        "l": 2,
        "step": 29
      },
      {
        "c": 1,
        "l": 3,
        "step": 14
      },
      {
        "c": 1,
        "l": 4,
        "step": 32
      },
      {
        "c": 1,
        "l": 5,
        "step": 37
      },
      {
        "c": 1,
        "l": 6,
        "step": 46
      },
      {
        "c": 1,
        "l": 7,
        "step": 16
      },
      {
        "c": 1,
        "l": 8,
        "step": 26
      },
      {
        "c": 1,
        "l": 9,
        "step": 29
      }
    ],
    "bridge_stats": {
      "total_moves": 382,
      "blue_moves": 337,
      "grey_moves": 45,
      "blue_pct": 88.2,
      "max_grey_streak": 2,
      "w_max": 4,
      "w_min": 0,
      "w_final": 2,
      "levels_cleared": 9,
      "notes_sample": [
        "Next move must be ↙ [BLUE] to complete TARGET (2,0)-(3,-1) by crossing (3,-2)-(4",
        "Next move must be → [BLUE] from (3,-1) to complete TARGET (2,0)-(3,-1); avoid an",
        "Next move must be ↖ [BLUE] to complete TARGET (3,-2)-(4,-2); avoid any [GREY] th"
      ]
    },
    "notes_history": [
      {
        "step": 3,
        "text": "LEVEL 9 COMPLETE! Well done. NEW LEVEL 10 starting. The map is completely new — all previous targets and positions are GONE. Read the new map carefully. Your only goal: W=0."
      },
      {
        "step": 4,
        "text": "Prioritize BLUE moves that directly cover remaining target edges along y=0; avoid GREY unless it sets up an immediate target completion."
      },
      {
        "step": 5,
        "text": "Next move must be BLUE and finish one of the remaining y=0 target edges without creating any new GREY edge."
      },
      {
        "step": 6,
        "text": "Stay on the y=0 chain; prioritize BLUE crossings that complete remaining TARGET edges (minimize GREY/new edges)."
      },
      {
        "step": 7,
        "text": "Next move must be BLUE to complete a remaining TARGET edge on y=0 (prefer (2,0)-(3,0)); avoid GREY/new edges."
      },
      {
        "step": 8,
        "text": "From [2,-2], route toward y=0 and complete TARGET (2,0)-(3,0) with BLUE ASAP; avoid GREY moves that create new edges."
      },
      {
        "step": 9,
        "text": "Continue BLUE-only path toward y=0; next objective is to reach and complete TARGET (2,0)-(3,0) without any GREY/new-edge moves."
      },
      {
        "step": 10,
        "text": "After this, navigate to (2,0) and complete TARGET (2,0)-(3,0) with a BLUE move ASAP; avoid GREY moves that create new edges."
      },
      {
        "step": 11,
        "text": "Next, take BLUE moves only until TARGET (2,0)-(3,0) is completed (aim to stand at (2,0) then go → in BLUE)."
      },
      {
        "step": 12,
        "text": "From (1,0), take BLUE → next to complete TARGET (2,0)-(3,0); avoid any GREY move that would create a new edge."
      },
      {
        "step": 13,
        "text": "Stay on existing edges; next move must reduce W by completing a listed TARGET (aim to reach (2,0) then BLUE → to (3,0))."
      },
      {
        "step": 14,
        "text": "Next move must be BLUE and directly complete a listed TARGET; do not take any GREY move that creates a new edge."
      },
      {
        "step": 15,
        "text": "Next move should be BLUE again to complete one of the remaining TARGET edges adjacent to your new position (prioritize finishing the last few targets, no GREY onto new edges)."
      },
      {
        "step": 16,
        "text": "Next move must head toward the remaining TARGETs near y=0 (route to (1,0) then toward (2,0)) while avoiding GREY moves that create new edges."
      },
      {
        "step": 17,
        "text": "Next move must be BLUE and complete the TARGET (0,0)-(1,0); then route via existing DONE edges toward the remaining TARGETs at y=0 without taking GREY moves that create new edges."
      },
      {
        "step": 18,
        "text": "Next move must go to (2,0) via existing edges, then take a BLUE move that completes one of the two remaining TARGET edges from (2,0) (no GREY that creates new edges)."
      },
      {
        "step": 19,
        "text": "From (2,0), take a BLUE move to complete one remaining TARGET edge (either (2,0)-(3,0) or (2,0)-(3,-1)); avoid GREY moves that create new edges."
      },
      {
        "step": 20,
        "text": "From (1,-1), take a BLUE move that completes the remaining TARGET edge from (2,0) to either (3,0) or (3,-1); do not use GREY moves that create new edges."
      },
      {
        "step": 21,
        "text": "Next, go from (1,0) to (2,0) via BLUE, then take BLUE from (2,0) to complete one TARGET edge (prefer (2,0)-(3,0) or (2,0)-(3,-1)); avoid GREY that creates new edges."
      },
      {
        "step": 22,
        "text": "From (2,0), immediately take a BLUE move to complete a remaining TARGET edge (prefer (2,0)-(3,0) or (2,0)-(3,-1)); avoid GREY moves that create new edges."
      },
      {
        "step": 23,
        "text": "Next step, complete another TARGET from (3,-1) without taking a GREY move onto a new edge (avoid creating new targets)."
      },
      {
        "step": 24,
        "text": "Use BLUE moves that directly complete a remaining TARGET edge; avoid any GREY move that would create a new edge/target."
      },
      {
        "step": 25,
        "text": "Next step, from (3,0) take a BLUE move to complete the remaining TARGET edge (2,0)-(1,1) without using GREY on any new edge."
      },
      {
        "step": 26,
        "text": "Next step from (2,0), take a BLUE move that completes the remaining TARGET edge (2,0)-(1,1), avoiding any GREY move onto a new edge."
      },
      {
        "step": 27,
        "text": "From (1,-1), immediately take a GREY move onto an EXISTING edge to reach (1,0) or (2,0), avoiding creation of any new edge/target while setting up the final TARGET (2,0)-(3,0)."
      },
      {
        "step": 28,
        "text": "Prioritize reaching (2,0) next, then take BLUE to complete TARGET (2,0)-(3,0); avoid GREY moves that create any new edge."
      },
      {
        "step": 29,
        "text": "After reaching (2,0), take ↘ BLUE to complete the remaining TARGET edge (2,0)-(3,0); avoid any GREY move that would create a new edge/target."
      },
      {
        "step": 30,
        "text": "From (1,0), take → BLUE next to complete TARGET (0,0)-(1,0); avoid GREY moves that create new edges/targets."
      },
      {
        "step": 31,
        "text": "Next go to (0,0) then take a BLUE move to complete TARGET (0,0)-(1,0); avoid any GREY that creates a new edge/target."
      },
      {
        "step": 32,
        "text": "Move to (0,0) using an existing edge only (no new-edge GREY); then take → BLUE to complete TARGET (0,0)-(1,0)."
      },
      {
        "step": 33,
        "text": "After reaching (1,0), go back to (0,0) via existing edge only, then take → BLUE to finish TARGET (0,0)-(1,0)."
      },
      {
        "step": 34,
        "text": "From (0,-1) go ↑ [BLUE] to complete TARGET (0,-1)-(0,0); avoid GREY on any new edge (no W+1)."
      },
      {
        "step": 35,
        "text": "Next, take a BLUE move that directly completes one of the remaining TARGET edges (avoid any GREY that would create a new edge/W+1)."
      },
      {
        "step": 36,
        "text": "Use GREY moves only along existing edges toward (0,-1)-(0,0) so the next BLUE can complete a remaining TARGET; do not step onto any new edge that would raise W."
      },
      {
        "step": 37,
        "text": "Prioritize BLUE moves that complete an explicit TARGET edge; avoid any GREY move that would create a new edge (no W+1)."
      },
      {
        "step": 38,
        "text": "Next move must be BLUE only if it completes a listed TARGET edge; otherwise use GREY strictly on existing edges (no new-edge creation/W+1)."
      },
      {
        "step": 39,
        "text": "Next move must be BLUE only if it completes a listed TARGET edge; otherwise use GREY strictly on existing edges (no new-edge creation/W+1)."
      },
      {
        "step": 40,
        "text": "Next move must aim to finish the remaining TARGET at (-1,0)-(-1,-1) without creating any new GREY edges (stay on existing edges only)."
      },
      {
        "step": 41,
        "text": "Continue toward finishing TARGET (-1,0)-(-1,-1) by moving only along existing edges; avoid any GREY move that would create a new edge (no W+1)."
      },
      {
        "step": 42,
        "text": "Next, continue toward the remaining TARGET at (2,0)-(1,1) and/or (2,0)-(3,0) using only existing edges (no GREY that creates a new edge); take BLUE only if it completes a listed TARGET."
      },
      {
        "step": 43,
        "text": "After this, head along existing edges toward node (2,0) to complete TARGET (2,0)-(3,0) and/or (2,0)-(1,1); avoid any GREY move that creates a new edge."
      },
      {
        "step": 44,
        "text": "Next move must be BLUE only if it completes TARGET (-1,0)-(-1,-1); otherwise follow existing edges toward node (2,0) without creating any new GREY edge."
      },
      {
        "step": 45,
        "text": "Then route along existing edges toward node (2,0); only take BLUE when it completes a remaining TARGET ((2,0)-(3,0) or (2,0)-(1,1)); avoid GREY that would create a new edge."
      },
      {
        "step": 46,
        "text": "Next, go ↘ to (-1,-1) to complete TARGET (-1,0)-(-1,-1); otherwise avoid GREY moves that would create new edges."
      },
      {
        "step": 47,
        "text": "Next move must be BLUE only if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1); otherwise traverse only along existing DONE edges toward node (2,0) and do not create any new GREY edge."
      },
      {
        "step": 48,
        "text": "From (0,0) take only moves that follow existing DONE edges toward (2,0); only take a BLUE move when it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1)."
      },
      {
        "step": 49,
        "text": "Continue along existing DONE edges toward (2,0); take a BLUE move only if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1)."
      },
      {
        "step": 50,
        "text": "Keep moving along existing DONE edges toward node (2,0); only take a BLUE move if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1); avoid creating any new GREY edge."
      },
      {
        "step": 51,
        "text": "Stay on existing DONE edges; route to (2,0) and take the first BLUE that completes one of the two TARGET edges—do not create any new GREY edge."
      },
      {
        "step": 52,
        "text": "From (0,0), keep routing on existing DONE edges toward (2,0); next BLUE must complete a remaining TARGET, and avoid any GREY move that would create a new edge."
      },
      {
        "step": 53,
        "text": "Now at (-1,1); continue only along existing DONE edges toward (2,0), and take a BLUE move only if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1)."
      },
      {
        "step": 54,
        "text": "Stay on existing DONE edges only; continue routing toward (2,0) so the next BLUE taken completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1) (no new GREY edges)."
      },
      {
        "step": 55,
        "text": "Continue along existing DONE edges toward (2,0); avoid GREY moves that create new edges, and only take BLUE if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1)."
      },
      {
        "step": 56,
        "text": "Next step go toward (2,0) via existing DONE edges; take BLUE only if it completes a listed TARGET edge (no GREY that creates new edges)."
      },
      {
        "step": 57,
        "text": "Next move must be BLUE that completes TARGET (0,0)-(1,0) (route via existing DONE edges only; no GREY onto new edges)."
      },
      {
        "step": 58,
        "text": "Next move must be BLUE that completes TARGET (0,1)-(1,0) or TARGET (2,0)-(1,1); avoid GREY moves that create new edges."
      },
      {
        "step": 59,
        "text": "Next move must complete a remaining TARGET edge (prefer around (2,0)) using only existing edges; avoid any GREY move that would create a new edge."
      },
      {
        "step": 60,
        "text": "Next move must be BLUE to complete TARGET (2,0)-(3,0) immediately (avoid GREY that creates new edges)."
      },
      {
        "step": 61,
        "text": "Next move must be BLUE from (1,-1) to (1,0) to then BLUE-complete the remaining TARGET (0,1)-(1,0) without using any GREY that creates new edges."
      },
      {
        "step": 62,
        "text": "Next move must be BLUE (no GREY) from (1,0) to (0,1) to complete TARGET (0,1)-(1,0) and bring W to 0."
      },
      {
        "step": 63,
        "text": "Next move must be BLUE from (2,0) to (3,0) to complete TARGET (2,0)-(3,0) and bring W to 0."
      },
      {
        "step": 64,
        "text": "Next move must be BLUE from (2,-1) to (1,0) (diagonal up-left) to complete TARGET (0,1)-(1,0) without creating any new GREY edges."
      },
      {
        "step": 65,
        "text": "Next move must be BLUE from (1,-1) to (0,1) via (1,0) without taking any GREY onto new edges (finish remaining TARGET fast)."
      },
      {
        "step": 66,
        "text": "Next move must be BLUE to (1,0), then immediately take BLUE onto remaining TARGET edge (0,1)-(1,0) without any GREY moves that create new edges."
      },
      {
        "step": 67,
        "text": "Next move must be BLUE from (2,1) to (2,0) (↗) to complete TARGET (2,0)-(3,0) with no GREY moves onto new edges."
      },
      {
        "step": 68,
        "text": "From (2,0), take ↗ [BLUE] to (3,0) to complete TARGET (2,0)-(3,0); then route via existing edges only (no GREY onto new edges) to finish TARGET (0,1)-(1,0)."
      },
      {
        "step": 69,
        "text": "Continue via existing edges only; next objective is to reach (1,0) and complete TARGET (0,1)-(1,0) with a BLUE move, avoiding any GREY move that would create a new edge."
      },
      {
        "step": 70,
        "text": "Stay on existing edges only (no GREY that creates new targets); aim to reach (1,0) then take a BLUE move to complete TARGET (0,1)-(1,0)."
      },
      {
        "step": 71,
        "text": "Next turn, complete TARGET (2,0)-(3,0) with a [BLUE] move, then continue only along existing edges (no GREY onto new edges) to reach (1,0) for the final target."
      },
      {
        "step": 72,
        "text": "From (2,-1), go BLUE ↗ to (3,0) to complete TARGET (2,0)-(3,0); avoid any GREY move onto a new edge (only traverse existing edges afterward toward (1,0))."
      },
      {
        "step": 73,
        "text": "After this move, stay strictly on existing edges (no GREY that creates new targets) and route toward (1,0) to set up the BLUE completion of TARGET (0,1)-(1,0)."
      },
      {
        "step": 74,
        "text": "Next, keep moving only along existing DONE edges (prefer BLUE on remaining TARGET when available); do not take any GREY move that would create a new edge."
      },
      {
        "step": 75,
        "text": "Continue staying on existing edges only; head toward (1,0) to set up completing TARGET (0,1)-(1,0) next."
      },
      {
        "step": 76,
        "text": "Next move must complete TARGET (0,1)-(1,0) via a BLUE crossing from (1,0) to (0,1); avoid any GREY that creates a new edge."
      },
      {
        "step": 77,
        "text": "From (1,-1), go BLUE ↖ to (0,1) to complete TARGET (0,1)-(1,0); avoid any GREY move that would create a new edge."
      },
      {
        "step": 78,
        "text": "Next, prioritize completing TARGET (2,0)-(3,0) with a BLUE move while staying on existing edges only (no GREY that creates new edges)."
      },
      {
        "step": 79,
        "text": "From (1,0), take BLUE → to (2,0) (stay on existing edge); next step aim to complete TARGET (2,0)-(3,0) with BLUE → without using GREY onto new terrain."
      },
      {
        "step": 80,
        "text": "Next move must be BLUE → from (2,-1) to (3,0) to complete TARGET (2,0)-(3,0) without any GREY onto new terrain."
      },
      {
        "step": 81,
        "text": "Next, go to (1,0) via existing completed edges (no GREY onto new terrain), then take the BLUE edge that completes TARGET (0,1)-(1,0)."
      },
      {
        "step": 82,
        "text": "From (1,-1) go BLUE ↗ to (1,0) (stay on existing edges); then take the BLUE move that completes TARGET (0,1)-(1,0) without any GREY onto new terrain."
      },
      {
        "step": 83,
        "text": "Next move must be BLUE from (2,-2) to (1,0) to complete TARGET (0,1)-(1,0) (no GREY onto new terrain)."
      },
      {
        "step": 84,
        "text": "Continue toward (1,0) strictly via existing DONE edges; avoid any GREY move that would create new edges, and set up to BLUE-complete TARGET (0,1)-(1,0)."
      },
      {
        "step": 85,
        "text": "Next, go BLUE to [1,0] (via [0,-1]→[1,0]) to set up and then BLUE-complete TARGET (0,1)-(1,0) without any GREY onto new terrain."
      },
      {
        "step": 86,
        "text": "From [1,-1], BLUE to [1,0] next, then immediately BLUE [1,0]→[0,1] to complete TARGET (0,1)-(1,0); avoid GREY that creates any new edge."
      },
      {
        "step": 87,
        "text": "Go next to [0,1] via existing DONE edge [0,-2]→[0,-1] (no new edges), then BLUE [0,1]→[1,0] to finish TARGET (0,1)-(1,0)."
      },
      {
        "step": 88,
        "text": "Next go BLUE to [0,1] (via [0,-1]→[0,0]→[0,1] on existing DONE), then BLUE [0,1]→[1,0] to complete TARGET (0,1)-(1,0); avoid GREY onto any new edge."
      },
      {
        "step": 89,
        "text": "Next step must continue toward (0,1)-(1,0) completion without taking any GREY move that creates a new edge (stay on existing edges only)."
      },
      {
        "step": 90,
        "text": "Next move must keep heading to node (0,1) so we can BLUE (0,1)→(1,0) to clear TARGET (0,1)-(1,0), and must not create any new edges with GREY."
      },
      {
        "step": 91,
        "text": "Stay on existing DONE edges only; proceed to (0,1) then take BLUE (0,1)→(1,0) to complete TARGET (0,1)-(1,0) (no GREY that creates new edges)."
      },
      {
        "step": 92,
        "text": "Stay on existing DONE edges only; get to (0,1) next, then take BLUE (0,1)→(1,0) to clear TARGET (0,1)-(1,0); avoid any GREY that would create a new edge."
      },
      {
        "step": 93,
        "text": "From (0,1) take BLUE to (1,0) next to complete TARGET (0,1)-(1,0); avoid any GREY that would create a new edge."
      },
      {
        "step": 94,
        "text": "After reaching (0,0), take BLUE (0,0)→(1,-1) to clear the remaining TARGET; avoid GREY moves that create new edges."
      },
      {
        "step": 95,
        "text": "Next move must be BLUE (0,0)→(1,-1) to complete the remaining TARGET; avoid any GREY that would create a new edge (keep W dropping to 0)."
      },
      {
        "step": 96,
        "text": "Next move must be BLUE from (1,-1) to (2,0) to position for finishing the last TARGET (2,0)-(3,0); avoid GREY onto new edges."
      },
      {
        "step": 97,
        "text": "From (2,0), take BLUE → to (3,0) to complete TARGET (2,0)-(3,0) and finish; avoid any GREY that would create new edges."
      },
      {
        "step": 98,
        "text": "Go BLUE to (1,-1) next to complete the remaining TARGET (1,-1)-(0,0); avoid any GREY move onto a non-existing edge (don’t create new targets)."
      },
      {
        "step": 99,
        "text": "Next move must be BLUE from (1,-1) to (0,0) to complete TARGET (1,-1)-(0,0) and reach W=0 (no GREY)."
      },
      {
        "step": 100,
        "text": "After reaching (0,0), take BLUE moves only to finish the last TARGET (2,0)-(3,0); avoid GREY entirely to prevent creating new targets or damaging thickness."
      },
      {
        "step": 101,
        "text": "Continue BLUE-only path toward TARGET (2,0)-(3,0); do not use any GREY moves."
      },
      {
        "step": 102,
        "text": "Stay BLUE-only; next head toward (2,0) then complete TARGET (2,0)-(3,0) without any GREY moves."
      },
      {
        "step": 103,
        "text": "Stay BLUE-only; from (1,-1) take BLUE toward (2,0) next, then BLUE across TARGET (2,0)-(3,0)."
      },
      {
        "step": 104,
        "text": "Next move must be BLUE from (0,0) to (1,-1) to complete TARGET (1,-1)-(0,0); avoid all GREY moves."
      },
      {
        "step": 105,
        "text": "Next take BLUE ↓ to reach (2,0), then BLUE → across TARGET (2,0)-(3,0); no GREY moves."
      },
      {
        "step": 106,
        "text": "Next move must be BLUE → from (2,0) to (3,0) to complete the final TARGET; avoid all GREY moves."
      },
      {
        "step": 107,
        "text": "Next move must be BLUE ↘ to (1,1) to set up final BLUE → across TARGET (2,0)-(3,0) without using any GREY moves."
      },
      {
        "step": 108,
        "text": "After this forced GREY, take only BLUE moves to reach (2,0) and complete TARGET (2,0)-(3,0) ASAP; avoid creating any new edges."
      },
      {
        "step": 109,
        "text": "Next 2 moves must be BLUE (no GREY) to route toward (2,0) and then finish the remaining TARGET edge (2,0)-(3,0) ASAP without creating any new edges."
      },
      {
        "step": 110,
        "text": "Next move must be BLUE again (no GREY); route toward (2,0) to complete TARGET (2,0)-(3,0) ASAP without creating any new edges."
      },
      {
        "step": 111,
        "text": "Next move must be BLUE again (no GREY); then take the fastest all-BLUE route to the remaining TARGET edge (2,0)-(3,0) without creating any new edges."
      },
      {
        "step": 112,
        "text": "Next move must be BLUE again; continue all-BLUE path toward node (2,0) to finish TARGET (2,0)-(3,0) ASAP, avoiding any GREY moves/new edges."
      },
      {
        "step": 113,
        "text": "Keep moving only on existing DONE edges toward node (2,0); no GREY moves and do not step onto any unseen edge—finish TARGET (2,0)-(3,0) as soon as reachable."
      },
      {
        "step": 114,
        "text": "Use GREY only on already-existing DONE edges (to avoid creating new targets) and route toward node (2,0) to finish TARGET (2,0)-(3,0) ASAP."
      },
      {
        "step": 115,
        "text": "Continue on existing DONE edges only (no new-edge GREY); head toward node (2,0) to complete TARGET (2,0)-(3,0) ASAP."
      },
      {
        "step": 116,
        "text": "Next step must stay on existing DONE edges only (no GREY onto unseen/new edges); route to node (2,0) to finish TARGET (2,0)-(3,0) ASAP."
      },
      {
        "step": 117,
        "text": "Next move: from (2,0) take BLUE across TARGET edge (2,0)-(3,0) to finish W=0 (avoid GREY onto any new/unseen edge)."
      },
      {
        "step": 118,
        "text": "Reach back to (2,0) next and take BLUE across TARGET (2,0)-(3,0); avoid GREY onto any new/unseen edge."
      },
      {
        "step": 119,
        "text": "Next move must be ↘ [BLUE] from (0,-1) to (1,0) to stay on existing edges and head back toward (2,0) to finish remaining TARGETs (no GREY onto any new/unseen edge)."
      },
      {
        "step": 120,
        "text": "Stay on existing edges only (no GREY onto any new/unseen edge); head toward (2,0) to take BLUE across remaining TARGET(s) ASAP."
      },
      {
        "step": 121,
        "text": "From (2,0) next, take BLUE across TARGET (2,0)-(3,0) and then BLUE across TARGET (2,0)-(1,1); avoid GREY onto any new/unseen edge."
      },
      {
        "step": 122,
        "text": "Next take ↙ [BLUE] from (1,0) to (1,1) to set up ↘ [BLUE] across TARGET (2,0)-(1,1); avoid GREY onto any new/unseen edge."
      },
      {
        "step": 123,
        "text": "Go to (1,-1) via existing edge, then route back to (2,0) to take BLUE across remaining TARGET(s); avoid GREY onto any new/unseen edge."
      },
      {
        "step": 124,
        "text": "Next, use BLUE to complete TARGET (2,0)-(3,0); avoid GREY on any edge not already on the map."
      },
      {
        "step": 125,
        "text": "After this grey reposition, immediately take BLUE to complete remaining TARGET(s); do not GREY onto any edge not already on the map."
      },
      {
        "step": 126,
        "text": "Next move must be BLUE across TARGET (2,0)-(1,1) (from (2,-1) go ↑ to (2,0), then ↙ BLUE); avoid all GREY unless it stays on already-mapped edges."
      },
      {
        "step": 127,
        "text": "Next take ↙ BLUE from (2,0) to complete TARGET (2,0)-(1,1); avoid any GREY that would create new edges."
      },
      {
        "step": 128,
        "text": "Next move must be ↙ [BLUE] to complete TARGET (2,0)-(1,1); avoid any GREY that would create new edges."
      },
      {
        "step": 129,
        "text": "Go to (2,0) then take ↙ [BLUE] to complete TARGET (2,0)-(1,1); avoid any [GREY] that would create new edges."
      },
      {
        "step": 130,
        "text": "Move next from (3,-2) to (2,0) via existing DONE edges (no new GREY edge creation), then take ↙ [BLUE] to complete TARGET (2,0)-(1,1)."
      },
      {
        "step": 131,
        "text": "From (2,-2) go ↗ [BLUE] to (3,-1) to complete TARGET (3,-1)-(3,-2) next; avoid GREY moves that create new edges."
      },
      {
        "step": 132,
        "text": "Next go ↓ [BLUE] to (3,-2) to finish TARGET (3,-1)-(3,-2); avoid any [GREY] that creates a new edge."
      },
      {
        "step": 133,
        "text": "Next, route to (2,0) using only existing DONE edges (prefer GREY over DONE edges only), then take the [BLUE] move that completes TARGET (2,0)-(1,1); avoid creating any new GREY edges."
      },
      {
        "step": 134,
        "text": "Next go ← [BLUE] to (1,0) to complete TARGET (0,0)-(1,0); avoid any [GREY] that creates a new edge."
      },
      {
        "step": 135,
        "text": "Next aim to reach (2,0) via existing edges, then take the [BLUE] move that completes TARGET (2,0)-(1,1); do not use any [GREY] move that would create a new edge."
      },
      {
        "step": 136,
        "text": "Next move must be [BLUE] that reduces W (complete a remaining TARGET); avoid any [GREY] that would create a new edge."
      },
      {
        "step": 137,
        "text": "Use only moves along existing edges until positioned to take the next [BLUE] that completes a TARGET (either (0,0)-(1,0) or (2,0)-(1,1)); no [GREY] that creates a new edge."
      },
      {
        "step": 138,
        "text": "From [3,-1], route along existing DONE edges toward (2,0) so the next [BLUE] can complete TARGET (2,0)-(1,1); avoid any [GREY] that would create a new edge."
      },
      {
        "step": 139,
        "text": "Stay on existing edges toward (2,0) then take the next [BLUE] to complete TARGET (2,0)-(1,1); avoid any [GREY] that would create a new edge."
      },
      {
        "step": 140,
        "text": "Next move must be a [BLUE] that completes a TARGET (prefer (2,0)-(1,1)); do not take any [GREY] that creates a new edge."
      },
      {
        "step": 141,
        "text": "Next move must be [BLUE] to complete TARGET (0,0)-(1,0); avoid any [GREY] that creates a new edge."
      },
      {
        "step": 142,
        "text": "Next head toward node (2,0) along existing DONE edges only, then take [BLUE] to complete TARGET (2,0)-(1,1); avoid [GREY] that creates any new edge."
      },
      {
        "step": 143,
        "text": "Stay on existing edges only; next, take a [BLUE] that completes a remaining TARGET (aim (2,0)-(1,1)) as soon as reachable."
      },
      {
        "step": 144,
        "text": "Next move must be [BLUE] again to finish TARGET (2,0)-(3,-1); avoid any [GREY] that would create a new edge."
      },
      {
        "step": 145,
        "text": "Keep moving on existing DONE edges only; next prioritize reaching node (2,0) then take [BLUE] to complete TARGET (2,0)-(3,-1) (do not take any [GREY] that creates new edges)."
      },
      {
        "step": 146,
        "text": "Continue along existing edges only; next aim to reach (2,0) then take the [BLUE] move that completes TARGET (2,0)-(3,-1) without any [GREY] onto new terrain."
      },
      {
        "step": 147,
        "text": "Next, from (2,0) take → [BLUE] to complete TARGET (2,0)-(3,-1); avoid any [GREY] onto new terrain."
      },
      {
        "step": 148,
        "text": "From (3,-1) take ↘ [BLUE] next to complete TARGET (2,0)-(3,-1); avoid [GREY] that creates any new edge."
      },
      {
        "step": 149,
        "text": "Next move must be ↑ [BLUE] to complete TARGET (3,-2)-(4,-2); avoid any [GREY] that would create a new edge."
      },
      {
        "step": 150,
        "text": "Next move must be ↙ [BLUE] to complete TARGET (2,0)-(3,-1) by crossing (3,-2)-(4,-2) next; avoid any [GREY] that creates a new edge."
      },
      {
        "step": 151,
        "text": "Next move must be → [BLUE] from (3,-1) to complete TARGET (2,0)-(3,-1); avoid any [GREY] that would create a new edge."
      },
      {
        "step": 152,
        "text": "Next move must be ↖ [BLUE] to complete TARGET (3,-2)-(4,-2); avoid any [GREY] that creates a new edge."
      }
    ],
    "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": 1744,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing target chain near y=0; avoid GREY unless it immediately enables a BLUE that reduces W next step.",
        "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": 1752,
        "was_retry": false,
        "was_random": false,
        "note": "Next step, take a BLUE move that completes one of the y=0 targets (avoid creating new GREY edges).",
        "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": 1842,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along y=0 with BLUE moves only (no GREY/new edges) until the remaining TARGET chain is completed (drive W→0).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1
        },
        "target_stability": 0.667
      },
      {
        "step": 7,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 1.0,
        "blue_efficiency": 0.25,
        "S": 4,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 100,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          3,
          1
        ],
        "facing": "↘",
        "response_ms": 2113,
        "was_retry": false,
        "was_random": false,
        "note": "From [3,1], use BLUE next to complete the (2,0)-(3,0) target (avoid GREY/new edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1
        },
        "target_stability": 0.5
      },
      {
        "step": 8,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 1.0,
        "blue_efficiency": 0.2,
        "S": 5,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.99,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          2,
          1
        ],
        "facing": "←",
        "response_ms": 1846,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete the remaining y=0 target edge ((0,0)-(1,0)) without creating any new GREY edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 9,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.3333,
        "blue_ratio_cum": 1.0,
        "blue_efficiency": 0.1667,
        "S": 5,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.99,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          1,
          0
        ],
        "facing": "↖",
        "response_ms": 2261,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only; next aim is to finish the last TARGET by taking BLUE along (1,0)-(0,0) (avoid GREY/new edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 10,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.2857,
        "blue_ratio_cum": 1.0,
        "blue_efficiency": 0.1429,
        "S": 6,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.98,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE onto (1,0) and then finish TARGET (1,0)-(0,0) without using any GREY that creates new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "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": 0.125,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.375,
        "blue_ratio_cum": 0.875,
        "blue_efficiency": 0.1429,
        "S": 6,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.98,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(1,-1)-(0,0)"
        ],
        "total_edges": 9,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2058,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete TARGET (0,0)-(1,0); avoid GREY moves that would create any new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "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": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4444,
        "epsilon_total": 0.4444,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.8889,
        "blue_efficiency": 0.25,
        "S": 7,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.97,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 0,
        "d_mean": 1.17,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 1955,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go BLUE from (1,0) to (1,-1) to complete TARGET (1,-1)-(0,0); avoid any GREY that would create new edges/targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 13,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.2222,
        "S": 7,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.96,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2058,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to (1,-1), then prioritize completing the remaining TARGET (2,0)-(3,0) using only existing edges (no GREY that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 14,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9091,
        "blue_efficiency": 0.2,
        "S": 8,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.96,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          0,
          -1
        ],
        "facing": "←",
        "response_ms": 2264,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (0,-1), route via existing DONE edges to (2,0) and complete TARGET (2,0)-(3,0) with BLUE; avoid GREY that would create any new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 15,
        "level": 1,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9167,
        "blue_efficiency": 0.1818,
        "S": 9,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.95,
        "edges_at_risk": 7,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 2056,
        "was_retry": false,
        "was_random": false,
        "note": "Route along existing DONE edges toward (2,0); avoid GREY onto any new edge/hex (no new targets).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,-1)": 1,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 16,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9231,
        "blue_efficiency": 0.25,
        "S": 10,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.95,
        "edges_at_risk": 8,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(1,-1)-(0,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 1763,
        "was_retry": false,
        "was_random": false,
        "note": "Continue only on existing DONE edges toward (2,0); avoid any GREY that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 1,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 17,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9286,
        "blue_efficiency": 0.2308,
        "S": 10,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.94,
        "edges_at_risk": 7,
        "mean_thickness": 1.3,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          0,
          -1
        ],
        "facing": "←",
        "response_ms": 2365,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only; reach (2,0) next and finish TARGET (2,0)-(3,0) with a BLUE move (avoid any GREY that would create a new edge/target).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 18,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9333,
        "blue_efficiency": 0.2143,
        "S": 10,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.93,
        "edges_at_risk": 6,
        "mean_thickness": 1.4,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 2093,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must keep traveling only on existing DONE edges toward (2,0), avoiding any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 19,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9375,
        "blue_efficiency": 0.2,
        "S": 10,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.93,
        "edges_at_risk": 5,
        "mean_thickness": 1.5,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2138,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (2,0), immediately take BLUE → to complete TARGET (2,0)-(3,0); do not take any GREY move onto a new edge (no new targets).",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 20,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9412,
        "blue_efficiency": 0.1875,
        "S": 11,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.92,
        "edges_at_risk": 6,
        "mean_thickness": 1.455,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.5455,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 1852,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), go ↘ BLUE to reach (3,0) and finish the only remaining TARGET; avoid any GREY onto a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 21,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9444,
        "blue_efficiency": 0.1765,
        "S": 12,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.92,
        "edges_at_risk": 7,
        "mean_thickness": 1.417,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.5833,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          -1
        ],
        "facing": "←",
        "response_ms": 2366,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges and go to (1,-1) as a staging step, then route to (2,0) to take BLUE → and complete TARGET (2,0)-(3,0); avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 22,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9474,
        "blue_efficiency": 0.1667,
        "S": 12,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.91,
        "edges_at_risk": 7,
        "mean_thickness": 1.5,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5833,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2467,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go ↘ BLUE to reach (2,0) so you can immediately take BLUE → to complete TARGET (2,0)-(3,0); avoid GREY moves that would create any new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 2,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 23,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.95,
        "blue_efficiency": 0.1579,
        "S": 12,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.9,
        "edges_at_risk": 7,
        "mean_thickness": 1.583,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5833,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          2,
          1
        ],
        "facing": "↘",
        "response_ms": 2467,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,1) take BLUE ↗ next to reach (2,0), then BLUE → to complete TARGET (2,0)-(3,0); avoid GREY that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 24,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9524,
        "blue_efficiency": 0.15,
        "S": 13,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.9,
        "edges_at_risk": 8,
        "mean_thickness": 1.538,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6154,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          2,
          0
        ],
        "facing": "↑",
        "response_ms": 2370,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → from (2,0) to (3,0) to complete the last TARGET; avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 25,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9545,
        "blue_efficiency": 0.1429,
        "S": 13,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.89,
        "edges_at_risk": 7,
        "mean_thickness": 1.615,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5385,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2058,
        "was_retry": false,
        "was_random": false,
        "note": "Do NOT take any GREY move (would create a new target and increase W); stay on existing edges only until W is back to 0.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 26,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9565,
        "blue_efficiency": 0.1364,
        "S": 14,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.89,
        "edges_at_risk": 8,
        "mean_thickness": 1.571,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5714,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          1
        ],
        "facing": "↓",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "Take the BLUE move that crosses the remaining TARGET edge next turn if adjacent; otherwise only use BLUE moves that reduce W (no GREY creating new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 1,
          "(1,0)-(1,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 27,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9583,
        "blue_efficiency": 0.1304,
        "S": 15,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.88,
        "edges_at_risk": 9,
        "mean_thickness": 1.533,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          0
        ],
        "facing": "↗",
        "response_ms": 1841,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), take BLUE → to (3,0) next to complete the last TARGET; avoid all GREY moves until W=0.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 1,
          "(1,0)-(1,1)": 1,
          "(1,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 28,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.92,
        "blue_efficiency": 0.1304,
        "S": 15,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.88,
        "edges_at_risk": 9,
        "mean_thickness": 1.533,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2366,
        "was_retry": false,
        "was_random": false,
        "note": "Take BLUE across the remaining TARGET edge next; avoid any GREY move that would create new edges until W=0.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,1)": 1,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 1,
          "(1,0)-(1,1)": 1,
          "(1,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 29,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9231,
        "blue_efficiency": 0.125,
        "S": 15,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.87,
        "edges_at_risk": 8,
        "mean_thickness": 1.6,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5333,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          1
        ],
        "facing": "↙",
        "response_ms": 2362,
        "was_retry": false,
        "was_random": false,
        "note": "Keep using only BLUE moves that reduce W; avoid any GREY move that would create new uncompleted edges until W=0.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,1)": 2,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 1,
          "(1,0)-(1,1)": 1,
          "(1,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 30,
        "level": 1,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9259,
        "blue_efficiency": 0.12,
        "S": 15,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.86,
        "edges_at_risk": 7,
        "mean_thickness": 1.667,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.4667,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          0
        ],
        "facing": "↑",
        "response_ms": 2182,
        "was_retry": false,
        "was_random": false,
        "note": "Go to (2,0) and take the BLUE move → to (3,0) next to complete the final TARGET; avoid all GREY moves until W=0.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,1)": 2,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 2,
          "(1,0)-(1,1)": 1,
          "(1,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 31,
        "level": 1,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9286,
        "blue_efficiency": 0.1538,
        "S": 16,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 99.86,
        "edges_at_risk": 8,
        "mean_thickness": 1.625,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2264,
        "was_retry": false,
        "was_random": false,
        "note": "Until W=0, only take BLUE moves that complete a remaining TARGET edge; avoid any GREY move that could create new uncompleted edges or damage thickness.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(1,0)": 3,
          "(2,0)-(3,1)": 1,
          "(3,1)-(2,1)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(0,0)": 1,
          "(1,-1)-(0,-1)": 2,
          "(0,-1)-(0,0)": 2,
          "(1,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(2,1)-(2,0)": 2,
          "(1,0)-(1,1)": 1,
          "(1,1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 31,
        "event": "LEVEL_COMPLETE",
        "completed_level": 1,
        "new_level": 2,
        "cumulative_blue_at_transition": 26,
        "cumulative_total_at_transition": 28,
        "cumulative_w_reductions": 4
      },
      {
        "step": 4,
        "level": 2,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.931,
        "blue_efficiency": 0.1481,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 33,
        "oxygen_pct": 99.86,
        "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": 2163,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing target line and keep moving west with BLUE to finish remaining horizontal targets (no GREY unless forced).",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 2,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.9333,
        "blue_efficiency": 0.1429,
        "S": 2,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 32,
        "oxygen_pct": 99.86,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 1955,
        "was_retry": false,
        "was_random": false,
        "note": "Continue west along the target chain with BLUE moves only (avoid GREY/new edges) until W=0.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.9355,
        "blue_efficiency": 0.1724,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 99.86,
        "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": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2192,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving along the horizontal target chain with BLUE moves only; avoid GREY/new edges unless no BLUE is available.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9375,
        "blue_efficiency": 0.1667,
        "S": 4,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.86,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 2576,
        "was_retry": false,
        "was_random": false,
        "note": "Keep using BLUE moves that directly complete a remaining TARGET edge; avoid GREY that would create new targets (raise W).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1
        },
        "target_stability": 0.75
      },
      {
        "step": 8,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.9394,
        "blue_efficiency": 0.1613,
        "S": 5,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.85,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2063,
        "was_retry": false,
        "was_random": false,
        "note": "Prioritize BLUE moves that complete a listed TARGET edge; avoid GREY moves that would create new non-completed edges unless no such BLUE move exists.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.1667,
        "blue_ratio_cum": 0.9412,
        "blue_efficiency": 0.1875,
        "S": 6,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.85,
        "edges_at_risk": 6,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2158,
        "was_retry": false,
        "was_random": false,
        "note": "Chain the next move to finish the remaining TARGET edge at (2,0)-(3,0) with BLUE ASAP; avoid GREY that would create new targets (increase W).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 10,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2857,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.1429,
        "blue_ratio_cum": 0.9429,
        "blue_efficiency": 0.1818,
        "S": 6,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.84,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2042,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must be BLUE directly across the remaining TARGET edge (2,0)-(3,0) to drop W to 0; avoid any GREY that would create new targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.25,
        "blue_ratio_cum": 0.9167,
        "blue_efficiency": 0.1818,
        "S": 6,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.83,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(2,-1)-(2,0)"
        ],
        "total_edges": 8,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2025,
        "was_retry": false,
        "was_random": false,
        "note": "Use this GREY only to reposition onto (2,0); next move must be BLUE across TARGET (2,0)-(3,0) to reduce W to 0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4444,
        "epsilon_total": 0.4444,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.9189,
        "blue_efficiency": 0.1765,
        "S": 6,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.83,
        "edges_at_risk": 4,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2627,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE across one of the remaining TARGET edges from (1,0), preferably returning to (2,0) via → then immediately take → to complete (2,0)-(3,0); avoid GREY onto new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 13,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.9211,
        "blue_efficiency": 0.1714,
        "S": 6,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.82,
        "edges_at_risk": 4,
        "mean_thickness": 1.5,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 1959,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE ↑ from (2,-1) to (2,0) to complete TARGET (2,-1)-(2,0) and reduce W; avoid GREY that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 14,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9231,
        "blue_efficiency": 0.1944,
        "S": 7,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.82,
        "edges_at_risk": 5,
        "mean_thickness": 1.429,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(2,-1)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2407,
        "was_retry": false,
        "was_random": false,
        "note": "After completing (2,-1)-(2,0), immediately take a BLUE move to finish the last TARGET (2,0)-(3,0); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.925,
        "blue_efficiency": 0.1892,
        "S": 7,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.81,
        "edges_at_risk": 5,
        "mean_thickness": 1.571,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2469,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → from (1,0) to (2,0), then BLUE → to complete the final TARGET (2,0)-(3,0); avoid any GREY that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 16,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9268,
        "blue_efficiency": 0.1842,
        "S": 7,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.8,
        "edges_at_risk": 5,
        "mean_thickness": 1.714,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2153,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), take BLUE ↑ to (2,0) next, then BLUE → to complete TARGET (2,0)-(3,0); avoid GREY creating new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 17,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9286,
        "blue_efficiency": 0.1795,
        "S": 7,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.8,
        "edges_at_risk": 4,
        "mean_thickness": 1.857,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5714,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 1833,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE ↘ from (2,0) to (3,0) to complete TARGET (2,0)-(3,0) and reach W=0; avoid any GREY move.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 18,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9302,
        "blue_efficiency": 0.175,
        "S": 8,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.79,
        "edges_at_risk": 5,
        "mean_thickness": 1.75,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          1
        ],
        "facing": "↙",
        "response_ms": 2161,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only; next move must go ↗ from (1,1) back to (2,0) to avoid creating any new GREY edge and set up finishing the last TARGET (2,0)-(3,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 19,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9318,
        "blue_efficiency": 0.1707,
        "S": 9,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.79,
        "edges_at_risk": 6,
        "mean_thickness": 1.667,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          1,
          0
        ],
        "facing": "↑",
        "response_ms": 1593,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → from (1,0) to (2,0), then BLUE → to (3,0) to complete TARGET (2,0)-(3,0); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 20,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9333,
        "blue_efficiency": 0.1667,
        "S": 9,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.78,
        "edges_at_risk": 6,
        "mean_thickness": 1.778,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 1859,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → again from (2,0) to (3,0) to complete TARGET (2,0)-(3,0) and bring W to 0; avoid any GREY move.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 21,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9348,
        "blue_efficiency": 0.1628,
        "S": 10,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.77,
        "edges_at_risk": 7,
        "mean_thickness": 1.7,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          3,
          1
        ],
        "facing": "↘",
        "response_ms": 2056,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → to (3,0) to complete the final TARGET; avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 22,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9149,
        "blue_efficiency": 0.1628,
        "S": 10,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.77,
        "edges_at_risk": 7,
        "mean_thickness": 1.7,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,1)-(3,0)"
        ],
        "total_edges": 12,
        "position": [
          3,
          0
        ],
        "facing": "↑",
        "response_ms": 2383,
        "was_retry": false,
        "was_random": false,
        "note": "Go GREY ↑ to reach (3,0) without creating any new edge; next step must be BLUE ← across TARGET (3,0)-(2,0) to finish W=0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 23,
        "level": 2,
        "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": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8958,
        "blue_efficiency": 0.1628,
        "S": 10,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.76,
        "edges_at_risk": 7,
        "mean_thickness": 1.7,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,0)-(3,-1)"
        ],
        "total_edges": 13,
        "position": [
          3,
          -1
        ],
        "facing": "↑",
        "response_ms": 1959,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE ← to (2,0) to complete TARGET (3,0)-(2,0) and bring W to 0; avoid any GREY move.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 24,
        "level": 2,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.898,
        "blue_efficiency": 0.1591,
        "S": 11,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.76,
        "edges_at_risk": 8,
        "mean_thickness": 1.636,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7273,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "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": 14,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 1973,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (2,0) to (3,0) or (3,1) to finish remaining TARGET(s); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 25,
        "level": 2,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.1778,
        "S": 12,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.75,
        "edges_at_risk": 9,
        "mean_thickness": 1.583,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2158,
        "was_retry": false,
        "was_random": false,
        "note": "Take BLUE moves that cross one of the listed TARGET edges from the current node; do not take any GREY move.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 26,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.902,
        "blue_efficiency": 0.1957,
        "S": 13,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.74,
        "edges_at_risk": 10,
        "mean_thickness": 1.538,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7692,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(3,1)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(3,0)-(3,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          3,
          -1
        ],
        "facing": "↑",
        "response_ms": 2000,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE crossing the remaining TARGET (3,0)-(3,-1) from (3,-1) back to (3,0) to bring W to 0; avoid any GREY move.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 27,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9038,
        "blue_efficiency": 0.1915,
        "S": 13,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.74,
        "edges_at_risk": 9,
        "mean_thickness": 1.615,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(3,1)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 2187,
        "was_retry": false,
        "was_random": false,
        "note": "From new position (2,0), only take BLUE moves along existing edges (no GREY/new edges) to stay at W=0 and avoid creating fresh targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2
        },
        "target_stability": 0.6
      },
      {
        "step": 28,
        "level": 2,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9057,
        "blue_efficiency": 0.1875,
        "S": 13,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.73,
        "edges_at_risk": 8,
        "mean_thickness": 1.692,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6154,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(3,1)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          3,
          1
        ],
        "facing": "↘",
        "response_ms": 1936,
        "was_retry": false,
        "was_random": false,
        "note": "Take the BLUE move to (3,1) to complete the only remaining TARGET edge (3,1)-(3,0), aiming to make W=0; avoid GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 2,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2
        },
        "target_stability": 0.6
      },
      {
        "step": 29,
        "level": 2,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9074,
        "blue_efficiency": 0.2041,
        "S": 14,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.73,
        "edges_at_risk": 9,
        "mean_thickness": 1.643,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6429,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(3,1)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(3,1)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          3,
          0
        ],
        "facing": "↑",
        "response_ms": 2048,
        "was_retry": false,
        "was_random": false,
        "note": "Do not take any GREY moves next step; if W becomes 0, only use BLUE moves along already-existing edges to avoid creating new targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(1,0)": 1,
          "(2,0)-(3,1)": 2,
          "(3,1)-(3,0)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 29,
        "event": "LEVEL_COMPLETE",
        "completed_level": 2,
        "new_level": 3,
        "cumulative_blue_at_transition": 49,
        "cumulative_total_at_transition": 54,
        "cumulative_w_reductions": 10
      },
      {
        "step": 4,
        "level": 3,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.9091,
        "blue_efficiency": 0.2,
        "S": 1,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 32,
        "oxygen_pct": 99.73,
        "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": 2264,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing target line (x-axis) and prioritize BLUE moves that directly complete one of the three listed target edges; avoid creating new GREY edges unless forced.",
        "thickness_map": {
          "(3,0)-(2,1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 3,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.9107,
        "blue_efficiency": 0.1961,
        "S": 2,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 99.73,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.17,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "↑",
        "response_ms": 2060,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on the x-axis target chain; next move should be BLUE if it completes a remaining target edge, otherwise reposition along existing edges without creating new GREY edges.",
        "thickness_map": {
          "(3,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 3,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.9123,
        "blue_efficiency": 0.2115,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.73,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 0.83,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2672,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along the x-axis; take BLUE moves that complete the remaining target edges (2,0)-(3,0) then proceed toward (1,0)-(2,0) and (0,0)-(1,0) without creating new GREY edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 3,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9138,
        "blue_efficiency": 0.2075,
        "S": 3,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.73,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          1
        ],
        "facing": "↙",
        "response_ms": 2286,
        "was_retry": false,
        "was_random": false,
        "note": "Next, continue west toward the remaining x-axis TARGET edges; prefer BLUE moves that complete a listed TARGET, and avoid GREY moves that create new edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.75
      },
      {
        "step": 8,
        "level": 3,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.9153,
        "blue_efficiency": 0.2037,
        "S": 4,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.72,
        "edges_at_risk": 3,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          1,
          0
        ],
        "facing": "↖",
        "response_ms": 2275,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must complete one of the remaining TARGET edges on the x-axis (work toward (1,0)-(2,0) then (0,0)-(1,0)) while avoiding GREY moves that create new edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 1,
          "(2,1)-(1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "level": 3,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.1667,
        "blue_ratio_cum": 0.9167,
        "blue_efficiency": 0.2182,
        "S": 5,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.71,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 1960,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing x-axis edges; next step after this should go WEST to complete TARGET (1,0)-(2,0) and avoid GREY moves onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 1,
          "(2,1)-(1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 10,
        "level": 3,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2857,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.1429,
        "blue_ratio_cum": 0.918,
        "blue_efficiency": 0.2143,
        "S": 5,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.71,
        "edges_at_risk": 3,
        "mean_thickness": 1.4,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          2,
          1
        ],
        "facing": "↓",
        "response_ms": 1849,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,1), go ↙ to (1,0) next to finish the remaining TARGET (0,0)-(1,0); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 2,
          "(2,1)-(1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 3,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.375,
        "epsilon_total": 0.375,
        "rho_minus_epsilon": -0.125,
        "blue_ratio_cum": 0.9194,
        "blue_efficiency": 0.2105,
        "S": 6,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.7,
        "edges_at_risk": 4,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          1,
          2
        ],
        "facing": "↙",
        "response_ms": 1854,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE across the remaining TARGET edge (0,0)-(1,0) to drive W→0; avoid any GREY move onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 2,
          "(2,1)-(1,0)": 1,
          "(2,1)-(1,2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "level": 3,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3333,
        "epsilon_total": 0.3333,
        "rho_minus_epsilon": -0.1111,
        "blue_ratio_cum": 0.9206,
        "blue_efficiency": 0.2069,
        "S": 7,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.7,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          0,
          1
        ],
        "facing": "↖",
        "response_ms": 2160,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must finish the last TARGET by going ← from (0,1) to (0,0); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 2,
          "(2,1)-(1,0)": 1,
          "(2,1)-(1,2)": 1,
          "(1,2)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 13,
        "level": 3,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9219,
        "blue_efficiency": 0.2034,
        "S": 8,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.69,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          0,
          0
        ],
        "facing": "↑",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "Take the BLUE move to (0,0) to complete the last TARGET edge (0,0)-(0,1) and win (W→0); do not take any GREY move that would create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 2,
          "(2,1)-(1,0)": 1,
          "(2,1)-(1,2)": 1,
          "(1,2)-(0,1)": 1,
          "(0,1)-(0,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 14,
        "level": 3,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.3,
        "blue_ratio_cum": 0.9231,
        "blue_efficiency": 0.2167,
        "S": 9,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.68,
        "edges_at_risk": 7,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2061,
        "was_retry": false,
        "was_random": false,
        "note": "Take the BLUE move from (0,0) to (1,0) to complete TARGET (0,0)-(1,0) and make W→0; avoid any GREY move that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,1)": 2,
          "(2,1)-(2,0)": 2,
          "(2,1)-(1,0)": 1,
          "(2,1)-(1,2)": 1,
          "(1,2)-(0,1)": 1,
          "(0,1)-(0,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 14,
        "event": "LEVEL_COMPLETE",
        "completed_level": 3,
        "new_level": 4,
        "cumulative_blue_at_transition": 60,
        "cumulative_total_at_transition": 65,
        "cumulative_w_reductions": 13
      },
      {
        "step": 4,
        "level": 4,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.9242,
        "blue_efficiency": 0.2131,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 99.68,
        "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": 2058,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing/target corridor (x=0..3,y=0) and prioritize blue moves that directly complete a listed target edge.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 4,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.9254,
        "blue_efficiency": 0.2097,
        "S": 2,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.68,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2990,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must stay on/adjacent to the target corridor (y=0) and prioritize a BLUE that completes one of the three listed TARGET edges (avoid creating new GREY edges).",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.9265,
        "blue_efficiency": 0.2222,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.68,
        "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": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2260,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along the y=0 corridor; keep choosing BLUE moves that complete the remaining TARGET edges on (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0) without creating new GREY edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9275,
        "blue_efficiency": 0.2188,
        "S": 4,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.68,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 2006,
        "was_retry": false,
        "was_random": false,
        "note": "Next, complete TARGET (2,0)-(3,0) by moving → as BLUE if available; otherwise take a BLUE that completes a listed TARGET without using GREY on new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1
        },
        "target_stability": 0.75
      },
      {
        "step": 8,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.9286,
        "blue_efficiency": 0.2154,
        "S": 5,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.68,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2260,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take BLUE → next to complete TARGET (2,0)-(3,0) (stay on existing edges; avoid GREY creating new targets).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.3333,
        "blue_ratio_cum": 0.9296,
        "blue_efficiency": 0.2121,
        "S": 5,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.67,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2120,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), immediately take BLUE → to complete TARGET (2,0)-(3,0); avoid GREY moves that would create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 10,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.2857,
        "blue_ratio_cum": 0.9306,
        "blue_efficiency": 0.209,
        "S": 6,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.67,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          3,
          -1
        ],
        "facing": "↗",
        "response_ms": 2265,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go to (3,0) and complete TARGET (2,0)-(3,0) with a BLUE move if available; avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.125,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.375,
        "epsilon_total": 0.375,
        "rho_minus_epsilon": -0.25,
        "blue_ratio_cum": 0.9315,
        "blue_efficiency": 0.2059,
        "S": 7,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.66,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          2,
          -1
        ],
        "facing": "←",
        "response_ms": 1949,
        "was_retry": false,
        "was_random": false,
        "note": "Prefer BLUE moves that directly complete a remaining TARGET; avoid GREY moves that create new edges/targets unless no BLUE path to a TARGET exists.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1111,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3333,
        "epsilon_total": 0.3333,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.9324,
        "blue_efficiency": 0.2029,
        "S": 7,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.65,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2260,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete the remaining TARGET (0,0)-(1,0); avoid GREY moves that create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 13,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.92,
        "blue_efficiency": 0.2029,
        "S": 7,
        "arrow": "←",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.65,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "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": 9,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 1927,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,0), take a BLUE move to (1,0) next to complete TARGET (0,0)-(1,0); avoid GREY moves that would create any new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 14,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9211,
        "blue_efficiency": 0.2,
        "S": 8,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.64,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2157,
        "was_retry": false,
        "was_random": false,
        "note": "Next, complete the other remaining TARGET (2,0)-(3,0) with BLUE moves only; avoid GREY moves that create any new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9221,
        "blue_efficiency": 0.1972,
        "S": 8,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.64,
        "edges_at_risk": 5,
        "mean_thickness": 1.375,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 2277,
        "was_retry": false,
        "was_random": false,
        "note": "Continue with BLUE-only path toward completing TARGET (2,0)-(3,0); next step aim to be on (2,0) so we can BLUE to (3,0) without any GREY/new-edge creation.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 16,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9231,
        "blue_efficiency": 0.1944,
        "S": 8,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.63,
        "edges_at_risk": 5,
        "mean_thickness": 1.5,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2163,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take BLUE → to (2,0) next, then BLUE → to (3,0) to complete TARGET (2,0)-(3,0); avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 17,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9241,
        "blue_efficiency": 0.1918,
        "S": 8,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.63,
        "edges_at_risk": 5,
        "mean_thickness": 1.625,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "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": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2041,
        "was_retry": false,
        "was_random": false,
        "note": "Stay BLUE-only and use existing edges to reach (2,0), then BLUE across TARGET (2,0)-(3,0) next; no GREY moves that create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 18,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.925,
        "blue_efficiency": 0.1892,
        "S": 9,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.62,
        "edges_at_risk": 6,
        "mean_thickness": 1.556,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2267,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE across TARGET (2,0)-(3,0) (from (2,0) go →) to reduce W; avoid GREY that creates any new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 19,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9259,
        "blue_efficiency": 0.1867,
        "S": 9,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.61,
        "edges_at_risk": 6,
        "mean_thickness": 1.667,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2263,
        "was_retry": false,
        "was_random": false,
        "note": "Next, move BLUE → from (1,0) to (2,0) to set up BLUE → to (3,0) and complete TARGET (2,0)-(3,0); avoid any GREY that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 20,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9268,
        "blue_efficiency": 0.1842,
        "S": 9,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.61,
        "edges_at_risk": 6,
        "mean_thickness": 1.778,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "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": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2022,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE toward completing TARGET (2,0)-(3,0) (go → from (2,0) if available); avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 21,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9277,
        "blue_efficiency": 0.1818,
        "S": 9,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.6,
        "edges_at_risk": 5,
        "mean_thickness": 1.889,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5556,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 2160,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must directly reduce W by completing a remaining TARGET (aim to reach and cross TARGET (2,0)-(3,0) next); avoid GREY moves that create any new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 22,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9286,
        "blue_efficiency": 0.1795,
        "S": 10,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.6,
        "edges_at_risk": 6,
        "mean_thickness": 1.8,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          3,
          0
        ],
        "facing": "↓",
        "response_ms": 2872,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE again to complete the remaining TARGET edge (0,0)-(1,0); avoid GREY moves that would create any new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 23,
        "level": 4,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9294,
        "blue_efficiency": 0.1899,
        "S": 11,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.59,
        "edges_at_risk": 7,
        "mean_thickness": 1.727,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6364,
        "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": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          2,
          0
        ],
        "facing": "←",
        "response_ms": 2399,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete TARGET (0,0)-(1,0) by moving ← from (1,0) to (0,0) if available; avoid GREY moves that create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 24,
        "level": 4,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9302,
        "blue_efficiency": 0.1875,
        "S": 11,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.58,
        "edges_at_risk": 7,
        "mean_thickness": 1.818,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6364,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 2448,
        "was_retry": false,
        "was_random": false,
        "note": "Go next to (1,0) then cross (1,0)→(0,0) with a BLUE move to finish TARGET (0,0)-(1,0); avoid GREY on new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 25,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9195,
        "blue_efficiency": 0.1875,
        "S": 10,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.58,
        "edges_at_risk": 6,
        "mean_thickness": 1.9,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(1,-1)-(1,0)"
        ],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2020,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take the BLUE move ← to (0,0) to complete TARGET (0,0)-(1,0); avoid GREY onto any new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 4,
          "(2,0)-(1,-1)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 26,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9205,
        "blue_efficiency": 0.1852,
        "S": 10,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.57,
        "edges_at_risk": 6,
        "mean_thickness": 2,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2237,
        "was_retry": false,
        "was_random": false,
        "note": "Next, get into position to complete remaining TARGET edges with BLUE moves; avoid GREY moves that would create any new edge/target (only use GREY if it stays on existing edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 5,
          "(2,0)-(1,-1)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 27,
        "level": 4,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9213,
        "blue_efficiency": 0.1829,
        "S": 11,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.57,
        "edges_at_risk": 7,
        "mean_thickness": 1.909,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.6364,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,-1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          -1
        ],
        "facing": "←",
        "response_ms": 2001,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must set up a BLUE crossing of TARGET (1,-1)-(1,0) without using any GREY move that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 5,
          "(2,0)-(1,-1)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 28,
        "level": 4,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9222,
        "blue_efficiency": 0.1928,
        "S": 12,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 99.56,
        "edges_at_risk": 8,
        "mean_thickness": 1.833,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(1,-1)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 1969,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must complete TARGET (1,-1)-(1,0) via this BLUE crossing; afterward, avoid GREY moves that create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 5,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 29,
        "level": 4,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9231,
        "blue_efficiency": 0.1905,
        "S": 12,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 99.55,
        "edges_at_risk": 8,
        "mean_thickness": 1.917,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2156,
        "was_retry": false,
        "was_random": false,
        "note": "If W becomes 0, avoid any GREY move onto new terrain (would create a new target); only traverse existing completed edges to prevent W rising.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 6,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 30,
        "level": 4,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9239,
        "blue_efficiency": 0.1882,
        "S": 12,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 99.55,
        "edges_at_risk": 7,
        "mean_thickness": 2,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5833,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          -1
        ],
        "facing": "←",
        "response_ms": 2366,
        "was_retry": false,
        "was_random": false,
        "note": "Aim to finish the remaining TARGET (0,0)-(1,0) next, using only moves along existing edges (no GREY onto new terrain).",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 6,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1,
          "(2,-1)-(1,-1)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 31,
        "level": 4,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9247,
        "blue_efficiency": 0.186,
        "S": 12,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 99.54,
        "edges_at_risk": 6,
        "mean_thickness": 2.083,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "Next step: keep W=0 by avoiding any GREY move onto new terrain; only traverse existing completed edges (prefer higher-thickness) to minimize BITE risk.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 6,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1,
          "(2,-1)-(1,-1)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 32,
        "level": 4,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9255,
        "blue_efficiency": 0.1954,
        "S": 13,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 99.54,
        "edges_at_risk": 7,
        "mean_thickness": 2,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5385,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2262,
        "was_retry": false,
        "was_random": false,
        "note": "After completing the last TARGET, do NOT take any GREY move that would create a new edge; only move along existing edges (prefer higher-thickness) to keep W=0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 6,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 2,
          "(0,0)-(1,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(3,0)": 1,
          "(2,-1)-(1,-1)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 32,
        "event": "LEVEL_COMPLETE",
        "completed_level": 4,
        "new_level": 5,
        "cumulative_blue_at_transition": 87,
        "cumulative_total_at_transition": 94,
        "cumulative_w_reductions": 17
      },
      {
        "step": 4,
        "level": 5,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.9263,
        "blue_efficiency": 0.1932,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.54,
        "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": 2308,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving along the target chain at y=0 (aim next to cross (2,0)-(3,0) blue) without using any GREY move that creates new edges.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 5,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.9271,
        "blue_efficiency": 0.191,
        "S": 2,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.54,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2872,
        "was_retry": false,
        "was_random": false,
        "note": "Next step, stay on the y=0 target chain and take a BLUE that completes one of the remaining TARGET edges (avoid GREY unless it reuses an existing edge).",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.9278,
        "blue_efficiency": 0.2,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.54,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 0.83,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 1784,
        "was_retry": false,
        "was_random": false,
        "note": "Keep progressing along the y=0 target chain using BLUE moves only (no GREY moves that would create new edges), aiming to finish remaining TARGET edges quickly.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.667
      },
      {
        "step": 7,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9286,
        "blue_efficiency": 0.1978,
        "S": 3,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.54,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 1953,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges and prioritize BLUE moves that complete one of the two remaining TARGET edges on y=0 next (avoid GREY that creates new edges).",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.5
      },
      {
        "step": 8,
        "level": 5,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8,
        "epsilon_total": 0.8,
        "rho_minus_epsilon": -0.6,
        "blue_ratio_cum": 0.9192,
        "blue_efficiency": 0.1978,
        "S": 3,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.53,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(2,-1)-(2,-2)"
        ],
        "total_edges": 6,
        "position": [
          2,
          -2
        ],
        "facing": "↑",
        "response_ms": 1964,
        "was_retry": false,
        "was_random": false,
        "note": "Use this GREY only to reposition onto the existing y=0 chain so the very next move can be a BLUE completing a remaining TARGET edge (no exploring new edges).",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 9,
        "level": 5,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6667,
        "epsilon_total": 0.6667,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.92,
        "blue_efficiency": 0.1957,
        "S": 4,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.52,
        "edges_at_risk": 3,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(2,-2)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          3,
          -1
        ],
        "facing": "↘",
        "response_ms": 2363,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE on a remaining TARGET edge (preferably advance onto/along the y=0 chain); avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 10,
        "level": 5,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5714,
        "epsilon_total": 0.5714,
        "rho_minus_epsilon": -0.4286,
        "blue_ratio_cum": 0.9208,
        "blue_efficiency": 0.1935,
        "S": 5,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.52,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 1,
        "d_mean": 1.83,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 2577,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), take BLUE next to complete a remaining TARGET on y=0 (either (1,0)-(2,0) or (0,0)-(1,0)); avoid GREY that creates new edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.25,
        "blue_ratio_cum": 0.9216,
        "blue_efficiency": 0.2021,
        "S": 6,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.51,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.17,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2172,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must be BLUE again to finish the other remaining TARGET on the y=0 chain (head to (0,0)-(1,0) if possible); do not take any GREY onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4444,
        "epsilon_total": 0.4444,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.9223,
        "blue_efficiency": 0.2,
        "S": 7,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.51,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 1982,
        "was_retry": false,
        "was_random": false,
        "note": "Continue BLUE toward the last y=0 target edge (0,0)-(1,0); avoid any GREY that would create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 13,
        "level": 5,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.9135,
        "blue_efficiency": 0.2,
        "S": 7,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.5,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(0,-1)-(0,0)"
        ],
        "total_edges": 10,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 2269,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete TARGET (0,0)-(1,0) (go to (0,0) via a BLUE edge next step); avoid GREY onto any new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 14,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9143,
        "blue_efficiency": 0.2083,
        "S": 8,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.49,
        "edges_at_risk": 7,
        "mean_thickness": 1.125,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.875,
        "d_min": 0,
        "d_mean": 1.17,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2129,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must immediately finish TARGET (0,0)-(1,0) with a BLUE move; avoid any GREY move that would create a new edge (increase W).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9151,
        "blue_efficiency": 0.2062,
        "S": 8,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.49,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(0,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 2316,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to finish remaining TARGET (2,-1)-(2,-2) by reaching (2,-1) without any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2
        },
        "target_stability": 0.6
      },
      {
        "step": 16,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9159,
        "blue_efficiency": 0.2143,
        "S": 9,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.48,
        "edges_at_risk": 7,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,-1)-(0,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 2071,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE onto TARGET (0,-1)-(0,0) to reduce W; then route along existing DONE edges toward (2,-1) without creating any new GREY edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 17,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9074,
        "blue_efficiency": 0.2143,
        "S": 9,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.48,
        "edges_at_risk": 7,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(2,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(0,0)-(-1,1)"
        ],
        "total_edges": 11,
        "position": [
          -1,
          1
        ],
        "facing": "↙",
        "response_ms": 2678,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must reach (2,-1) strictly via existing edges only (no new-edge GREY); take BLUE across TARGET (2,-1)-(2,-2) as soon as available to make W→0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 18,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9083,
        "blue_efficiency": 0.2121,
        "S": 10,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.47,
        "edges_at_risk": 8,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 2.75,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(-1,1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          -1,
          0
        ],
        "facing": "↑",
        "response_ms": 1986,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must continue toward (2,-1) using only existing edges (avoid any GREY that would create a new edge); prioritize reaching (2,-1) to take BLUE across TARGET (2,-1)-(2,-2) ASAP.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,1)-(-1,0)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 19,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9091,
        "blue_efficiency": 0.21,
        "S": 11,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.46,
        "edges_at_risk": 9,
        "mean_thickness": 1.182,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8182,
        "d_min": 1,
        "d_mean": 2.25,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(-1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          0,
          0
        ],
        "facing": "→",
        "response_ms": 2299,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only (no GREY that creates a new edge); continue routing toward (2,-1) and take BLUE across TARGET (2,-1)-(2,-2) the moment it becomes available.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 20,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9099,
        "blue_efficiency": 0.2079,
        "S": 12,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.46,
        "edges_at_risk": 10,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(-1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          0,
          1
        ],
        "facing": "↓",
        "response_ms": 2102,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing edges only; route toward (2,-1) without any new-edge GREY, aiming to get the BLUE across TARGET (2,-1)-(2,-2) as soon as it appears.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 1,
          "(0,0)-(0,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 21,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9107,
        "blue_efficiency": 0.2059,
        "S": 13,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.45,
        "edges_at_risk": 11,
        "mean_thickness": 1.154,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8462,
        "d_min": 1,
        "d_mean": 2.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(-1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          -1,
          0
        ],
        "facing": "↖",
        "response_ms": 2158,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only (avoid any GREY that would create a new edge); keep routing toward (2,-1) to take the BLUE across TARGET (2,-1)-(2,-2) as soon as it’s available.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 22,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9115,
        "blue_efficiency": 0.2039,
        "S": 13,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.45,
        "edges_at_risk": 10,
        "mean_thickness": 1.231,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7692,
        "d_min": 1,
        "d_mean": 2.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(-1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          0,
          0
        ],
        "facing": "→",
        "response_ms": 2361,
        "was_retry": false,
        "was_random": false,
        "note": "Go to (0,0) via existing edges only; next prioritize completing TARGET (0,0)-(-1,1) with a BLUE move (no GREY that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 23,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9123,
        "blue_efficiency": 0.2115,
        "S": 14,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.44,
        "edges_at_risk": 11,
        "mean_thickness": 1.214,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7857,
        "d_min": 0,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(-1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(-1,1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          -1,
          1
        ],
        "facing": "↙",
        "response_ms": 2318,
        "was_retry": false,
        "was_random": false,
        "note": "Next go to (2,-1) via existing edges only; avoid any GREY that would create a new edge, and set up the BLUE to complete TARGET (2,-1)-(2,-2).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 24,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.913,
        "blue_efficiency": 0.2095,
        "S": 14,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.43,
        "edges_at_risk": 10,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 4,
        "d_mean": 4.5,
        "d_max": 5,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(2,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          -1,
          0
        ],
        "facing": "↑",
        "response_ms": 2235,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing completed edges only (no GREY onto new terrain); keep routing along the built chain toward (2,-1) to set up the BLUE completion of TARGET (2,-1)-(2,-2).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 25,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9138,
        "blue_efficiency": 0.2075,
        "S": 15,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.43,
        "edges_at_risk": 11,
        "mean_thickness": 1.267,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7333,
        "d_min": 3,
        "d_mean": 3.5,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(2,-2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          0,
          -1
        ],
        "facing": "↗",
        "response_ms": 2520,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,-1), take only BLUE moves along existing edges to reach (2,-1), then complete TARGET (2,-1)-(2,-2) ASAP; no GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 26,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.906,
        "blue_efficiency": 0.2075,
        "S": 15,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.42,
        "edges_at_risk": 11,
        "mean_thickness": 1.267,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7333,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(2,-2)",
        "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": 2260,
        "was_retry": false,
        "was_random": false,
        "note": "Reach (2,-2) using only existing edges (avoid GREY onto new terrain), then take the BLUE move to complete TARGET (2,-1)-(2,-2) immediately.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 27,
        "level": 5,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9068,
        "blue_efficiency": 0.2056,
        "S": 16,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 99.42,
        "edges_at_risk": 12,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 1,
        "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": 18,
        "position": [
          2,
          -2
        ],
        "facing": "→",
        "response_ms": 1957,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (2,-2), take the BLUE ↘ to (2,-1) to complete TARGET (2,-1)-(2,-2) immediately; avoid any GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 28,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9076,
        "blue_efficiency": 0.213,
        "S": 17,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 99.41,
        "edges_at_risk": 13,
        "mean_thickness": 1.235,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7647,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(2,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(2,-1)-(2,-2)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 18,
        "position": [
          2,
          -1
        ],
        "facing": "↓",
        "response_ms": 1954,
        "was_retry": false,
        "was_random": false,
        "note": "Next, prioritize completing the remaining TARGET (0,-1)-(1,-2) using only BLUE moves on existing edges; avoid GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 29,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9083,
        "blue_efficiency": 0.211,
        "S": 18,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 99.41,
        "edges_at_risk": 14,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "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": 19,
        "position": [
          1,
          -2
        ],
        "facing": "↖",
        "response_ms": 1957,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,-2), take the BLUE move that completes TARGET (0,-1)-(1,-2) ASAP; avoid any GREY move onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 1,
          "(2,-1)-(1,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 30,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9091,
        "blue_efficiency": 0.2091,
        "S": 18,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 99.4,
        "edges_at_risk": 13,
        "mean_thickness": 1.278,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7222,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "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": 19,
        "position": [
          2,
          -2
        ],
        "facing": "→",
        "response_ms": 2262,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must finish W=0 by taking the immediate BLUE edge if available; otherwise only GREY along existing edges (no new edge creation).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 1,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 31,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9098,
        "blue_efficiency": 0.2072,
        "S": 18,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 99.39,
        "edges_at_risk": 12,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "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": 19,
        "position": [
          2,
          -1
        ],
        "facing": "↓",
        "response_ms": 1946,
        "was_retry": false,
        "was_random": false,
        "note": "Follow the shortest path to TARGET (0,-1)-(1,-2) using only BLUE on existing edges; if forced GREY, only traverse already-existing edges (avoid creating new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 32,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9106,
        "blue_efficiency": 0.2054,
        "S": 19,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 99.39,
        "edges_at_risk": 13,
        "mean_thickness": 1.316,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "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": 20,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2367,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (1,0), head toward (0,-1) then finish TARGET (0,-1)-(1,-2) using only existing edges; avoid GREY onto any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 33,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9113,
        "blue_efficiency": 0.2035,
        "S": 19,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 99.38,
        "edges_at_risk": 13,
        "mean_thickness": 1.368,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "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": 20,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 1857,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must complete the remaining TARGET edge (0,-1)-(1,-2) with a BLUE crossing; avoid any GREY move that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 34,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 1,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.912,
        "blue_efficiency": 0.2018,
        "S": 19,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 31,
        "oxygen_pct": 99.38,
        "edges_at_risk": 13,
        "mean_thickness": 1.368,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(1,-2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,-1)-(1,-2)"
        ],
        "reverted_to_white": [
          "(0,0)-(1,0)"
        ],
        "new_targets_created": [],
        "total_edges": 20,
        "position": [
          1,
          -2
        ],
        "facing": "↗",
        "response_ms": 2335,
        "was_retry": false,
        "was_random": false,
        "note": "If W becomes 0, avoid GREY moves that create new edges; prioritize staying on existing edges to prevent W from rising again.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(0,-1)-(1,-2)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 35,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9127,
        "blue_efficiency": 0.2,
        "S": 19,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.37,
        "edges_at_risk": 12,
        "mean_thickness": 1.421,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6316,
        "d_min": 2,
        "d_mean": 2.0,
        "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": 20,
        "position": [
          2,
          -1
        ],
        "facing": "↘",
        "response_ms": 1916,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must take me toward (0,0)-(1,0) and finish it with a BLUE crossing without any GREY that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(0,-1)-(1,-2)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 2,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 36,
        "level": 5,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9134,
        "blue_efficiency": 0.1983,
        "S": 19,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.36,
        "edges_at_risk": 11,
        "mean_thickness": 1.474,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5789,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 20,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2112,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be a BLUE crossing of the remaining TARGET edge (0,0)-(1,0) to make W=0; avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(0,-1)-(1,-2)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 2,
          "(2,-1)-(1,0)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 37,
        "level": 5,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9141,
        "blue_efficiency": 0.2051,
        "S": 20,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.36,
        "edges_at_risk": 12,
        "mean_thickness": 1.45,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 20,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2195,
        "was_retry": false,
        "was_random": false,
        "note": "After completing W=0, avoid GREY moves; stay on existing DONE edges and use BLUE only if it immediately reduces W (repairs bite).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(2,-2)": 2,
          "(2,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,0)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(0,-1)-(1,-2)": 1,
          "(1,-2)-(2,-2)": 2,
          "(2,-1)-(1,-2)": 2,
          "(2,-1)-(1,0)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 37,
        "event": "LEVEL_COMPLETE",
        "completed_level": 5,
        "new_level": 6,
        "cumulative_blue_at_transition": 117,
        "cumulative_total_at_transition": 128,
        "cumulative_w_reductions": 24
      },
      {
        "step": 4,
        "level": 6,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.9147,
        "blue_efficiency": 0.2034,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.36,
        "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": 2205,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing target line (y=0) next; take BLUE along (2,0)-(3,0) without creating new GREY edges.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 6,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.9154,
        "blue_efficiency": 0.2017,
        "S": 2,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.36,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2208,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (2,0), continue BLUE along the y=0 target chain toward (3,0) (avoid GREY creating new edges).",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.916,
        "blue_efficiency": 0.2083,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.36,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 0.83,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2059,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving BLUE along the y=0 target chain; avoid any GREY move that would create new edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.667
      },
      {
        "step": 7,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 3,
        "B_blue": 0,
        "B_grey": 3,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9167,
        "blue_efficiency": 0.2066,
        "S": 3,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.36,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 2013,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), take BLUE ↓ back to (2,0) to color TARGET (1,0)-(2,0) next; avoid GREY on new edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.5
      },
      {
        "step": 8,
        "level": 6,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8,
        "epsilon_total": 0.8,
        "rho_minus_epsilon": -0.6,
        "blue_ratio_cum": 0.9098,
        "blue_efficiency": 0.2066,
        "S": 3,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.35,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(2,-1)-(3,-1)"
        ],
        "total_edges": 6,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 1800,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go ↖ to reach (2,0) then start BLUEing the remaining y=0 TARGET edges; avoid GREY that creates new edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 9,
        "level": 6,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6667,
        "epsilon_total": 0.6667,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9104,
        "blue_efficiency": 0.2049,
        "S": 4,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.35,
        "edges_at_risk": 3,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 1955,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only; prioritize BLUE moves that immediately reduce W (work toward the remaining y=0 TARGET chain).",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 10,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2857,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5714,
        "epsilon_total": 0.5714,
        "rho_minus_epsilon": -0.2857,
        "blue_ratio_cum": 0.9111,
        "blue_efficiency": 0.2114,
        "S": 5,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.34,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE that completes one of the remaining TARGET edges on y=0 (head toward (0,0)-(1,0) next) while staying on existing edges (no new GREY).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.25,
        "blue_ratio_cum": 0.9118,
        "blue_efficiency": 0.2097,
        "S": 6,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.33,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 2187,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing edges toward TARGET (0,0)-(1,0); avoid GREY/new-edge creation and avoid GREY over DONE edges (would reduce thickness).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 12,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4444,
        "epsilon_total": 0.4444,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.9124,
        "blue_efficiency": 0.208,
        "S": 7,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.33,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          -1
        ],
        "facing": "→",
        "response_ms": 1851,
        "was_retry": false,
        "was_random": false,
        "note": "From [1,-1], take BLUE moves along existing edges to reach and complete TARGET (0,0)-(1,0) next; avoid GREY moves (no new edges / no damaging DONE thickness).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 13,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.913,
        "blue_efficiency": 0.2063,
        "S": 8,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.32,
        "edges_at_risk": 7,
        "mean_thickness": 1.125,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.875,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2199,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete the TARGET edge (0,0)-(1,0) (from [0,0] go → to [1,0]); avoid any GREY moves to prevent new targets or damaging DONE thickness.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 14,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9137,
        "blue_efficiency": 0.2047,
        "S": 9,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.32,
        "edges_at_risk": 8,
        "mean_thickness": 1.111,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8889,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          -1,
          0
        ],
        "facing": "←",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges and route toward remaining TARGET (2,-1)-(3,-1) using BLUE whenever possible; avoid GREY moves (they create new targets / damage thickness).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9143,
        "blue_efficiency": 0.2031,
        "S": 10,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.31,
        "edges_at_risk": 9,
        "mean_thickness": 1.1,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9,
        "d_min": 1,
        "d_mean": 2.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          0,
          -1
        ],
        "facing": "↗",
        "response_ms": 1954,
        "was_retry": false,
        "was_random": false,
        "note": "Continue BLUE along existing edges toward (2,-1)-(3,-1); avoid GREY moves and set up to reach [2,-1] then complete the target edge to [3,-1].",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 16,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9149,
        "blue_efficiency": 0.2016,
        "S": 11,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.3,
        "edges_at_risk": 10,
        "mean_thickness": 1.091,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9091,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 2101,
        "was_retry": false,
        "was_random": false,
        "note": "Keep using BLUE along existing edges to reach [2,-1] then finish TARGET (2,-1)-(3,-1); avoid GREY moves that create new targets or damage thickness.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 1,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 17,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9155,
        "blue_efficiency": 0.2,
        "S": 11,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.3,
        "edges_at_risk": 9,
        "mean_thickness": 1.182,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8182,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          -1,
          0
        ],
        "facing": "←",
        "response_ms": 1979,
        "was_retry": false,
        "was_random": false,
        "note": "After moving to [-1,0], take ↘ then ↗ through existing DONE edges toward [2,-1] to complete TARGET (2,-1)-(3,-1) with BLUE, avoiding GREY on new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 1,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 18,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9161,
        "blue_efficiency": 0.1985,
        "S": 11,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.29,
        "edges_at_risk": 8,
        "mean_thickness": 1.273,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7273,
        "d_min": 1,
        "d_mean": 2.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          0,
          -1
        ],
        "facing": "↗",
        "response_ms": 2149,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing DONE edges only (no GREY creating new targets); route via (0,-1)→(0,0)→(1,0) toward (2,-1) to finish TARGET (2,-1)-(3,-1) ASAP.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 19,
        "level": 6,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9097,
        "blue_efficiency": 0.1985,
        "S": 11,
        "arrow": "←",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.29,
        "edges_at_risk": 8,
        "mean_thickness": 1.273,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7273,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(0,-1)-(-1,-1)"
        ],
        "total_edges": 14,
        "position": [
          -1,
          -1
        ],
        "facing": "←",
        "response_ms": 2363,
        "was_retry": false,
        "was_random": false,
        "note": "Next, continue only on existing DONE edges toward (0,0) then (1,0) to set up finishing TARGET (0,0)-(1,0) or route onward to (2,-1); avoid any move that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 20,
        "level": 6,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9103,
        "blue_efficiency": 0.197,
        "S": 12,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.28,
        "edges_at_risk": 9,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.83,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          0,
          0
        ],
        "facing": "↘",
        "response_ms": 1954,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving only along existing edges (no GREY onto new terrain); prioritize completing TARGET (0,0)-(1,0) next, then continue toward (2,-1)-(3,-1).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 21,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.911,
        "blue_efficiency": 0.203,
        "S": 13,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99.27,
        "edges_at_risk": 10,
        "mean_thickness": 1.231,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7692,
        "d_min": 0,
        "d_mean": 1.33,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2027,
        "was_retry": false,
        "was_random": false,
        "note": "Complete TARGET (0,0)-(1,0) now; next step continue along existing edges only (avoid GREY that would create new targets) toward remaining targets near (2,-1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 22,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 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": 0.9116,
        "blue_efficiency": 0.2015,
        "S": 14,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 99.27,
        "edges_at_risk": 11,
        "mean_thickness": 1.214,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7857,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(3,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2262,
        "was_retry": false,
        "was_random": false,
        "note": "Next step, take a BLUE move that completes the remaining TARGET (2,-1)-(3,-1); avoid GREY moves that would create any new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 23,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9054,
        "blue_efficiency": 0.2015,
        "S": 14,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 99.26,
        "edges_at_risk": 11,
        "mean_thickness": 1.214,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7857,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 2045,
        "was_retry": false,
        "was_random": false,
        "note": "Finish the other remaining TARGET next: route along existing edges only to reach (0,-1)-(-1,-1) and take the BLUE move to complete it (no GREY onto new terrain).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 24,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.906,
        "blue_efficiency": 0.2,
        "S": 15,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 99.26,
        "edges_at_risk": 12,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 2.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 17,
        "position": [
          3,
          0
        ],
        "facing": "↓",
        "response_ms": 2355,
        "was_retry": false,
        "was_random": false,
        "note": "After completing TARGET (2,-1)-(3,-1), navigate only along existing edges toward TARGET (0,-1)-(-1,-1); avoid any GREY move that creates a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 25,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9067,
        "blue_efficiency": 0.1985,
        "S": 15,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 99.25,
        "edges_at_risk": 12,
        "mean_thickness": 1.267,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 1,
        "d_mean": 2.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 17,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 2006,
        "was_retry": false,
        "was_random": false,
        "note": "Next, move along existing completed edges only (prefer BLUE) to reach (0,-1)-(-1,-1); avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 26,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9073,
        "blue_efficiency": 0.2044,
        "S": 16,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 99.24,
        "edges_at_risk": 13,
        "mean_thickness": 1.25,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.8125,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,-1)-(3,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 17,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 1708,
        "was_retry": false,
        "was_random": false,
        "note": "After this, traverse only along existing edges toward TARGET (0,-1)-(-1,-1); avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 27,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9079,
        "blue_efficiency": 0.2029,
        "S": 16,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 99.24,
        "edges_at_risk": 12,
        "mean_thickness": 1.312,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 3,
        "d_mean": 3.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 17,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 1940,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving along existing completed edges toward (0,-1) to finish TARGET (0,-1)-(-1,-1); avoid GREY on new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 28,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9085,
        "blue_efficiency": 0.2014,
        "S": 16,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 99.23,
        "edges_at_risk": 11,
        "mean_thickness": 1.375,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6875,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 17,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2089,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing edges toward (0,-1), then take the BLUE crossing to complete TARGET (0,-1)-(-1,-1); avoid GREY moves that would create any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 29,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9091,
        "blue_efficiency": 0.2,
        "S": 16,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 99.23,
        "edges_at_risk": 10,
        "mean_thickness": 1.438,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 17,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 1958,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,-1), take the BLUE move to (-1,-1) to complete TARGET (0,-1)-(-1,-1); avoid all GREY moves that would create new edges/targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 30,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9097,
        "blue_efficiency": 0.1986,
        "S": 17,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 99.22,
        "edges_at_risk": 11,
        "mean_thickness": 1.412,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6471,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 18,
        "position": [
          0,
          -2
        ],
        "facing": "↑",
        "response_ms": 1868,
        "was_retry": false,
        "was_random": false,
        "note": "Use a BLUE move that reduces W to 0; do not take any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 31,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9038,
        "blue_efficiency": 0.1986,
        "S": 17,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 99.21,
        "edges_at_risk": 11,
        "mean_thickness": 1.412,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6471,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(0,-2)-(-1,-1)"
        ],
        "total_edges": 19,
        "position": [
          -1,
          -1
        ],
        "facing": "↙",
        "response_ms": 2264,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (0,-1) to (-1,-1) to finish the last TARGET and bring W to 0 (avoid creating any new GREY edge).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 32,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9045,
        "blue_efficiency": 0.2042,
        "S": 18,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 99.21,
        "edges_at_risk": 12,
        "mean_thickness": 1.389,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,-1)-(-1,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 19,
        "position": [
          0,
          -1
        ],
        "facing": "→",
        "response_ms": 2195,
        "was_retry": false,
        "was_random": false,
        "note": "Take BLUE moves that directly complete one of the two remaining TARGET edges from (-1,-1) (to (0,-1) or to (0,-2)); avoid GREY moves that create new edges/targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 33,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9051,
        "blue_efficiency": 0.2028,
        "S": 18,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 30,
        "oxygen_pct": 99.2,
        "edges_at_risk": 12,
        "mean_thickness": 1.389,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,-2)-(-1,-1)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [
          "(0,0)-(1,0)"
        ],
        "new_targets_created": [],
        "total_edges": 20,
        "position": [
          -1,
          -2
        ],
        "facing": "↖",
        "response_ms": 1866,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE onto the remaining TARGET edge (0,-2)-(-1,-1) to make W=0; avoid any GREY move that creates a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-1)-(-1,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 34,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9057,
        "blue_efficiency": 0.2014,
        "S": 19,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 29,
        "oxygen_pct": 99.2,
        "edges_at_risk": 13,
        "mean_thickness": 1.368,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(0,-2)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          -1,
          -1
        ],
        "facing": "↓",
        "response_ms": 2280,
        "was_retry": false,
        "was_random": false,
        "note": "Take BLUE to [-1,-1] to complete TARGET (0,-2)-(-1,-1) (reduce W); avoid any GREY move that would create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 35,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9062,
        "blue_efficiency": 0.2069,
        "S": 20,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.19,
        "edges_at_risk": 14,
        "mean_thickness": 1.35,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,-2)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,-2)-(-1,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          0,
          -2
        ],
        "facing": "↗",
        "response_ms": 1915,
        "was_retry": false,
        "was_random": false,
        "note": "Next, complete the last TARGET edge (0,0)-(1,0) via existing DONE edges only (avoid GREY/new-edge creation).",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 36,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9006,
        "blue_efficiency": 0.2069,
        "S": 19,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.18,
        "edges_at_risk": 13,
        "mean_thickness": 1.368,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [
          "(0,-1)-(0,-2)"
        ],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          0,
          -1
        ],
        "facing": "↓",
        "response_ms": 2258,
        "was_retry": false,
        "was_random": false,
        "note": "Move along existing DONE edges only; reach (0,0) then take the BLUE move across TARGET (0,0)-(1,0) to make W=0 (avoid GREY that creates new edges/targets).",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 37,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9012,
        "blue_efficiency": 0.2055,
        "S": 19,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.18,
        "edges_at_risk": 13,
        "mean_thickness": 1.421,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(0,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          -1,
          0
        ],
        "facing": "↙",
        "response_ms": 2368,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ↘ from [-1,0] to [0,0] (GREY along existing DONE), then take the BLUE edge (0,0)-(1,0) to finish W=0; avoid any GREY that would create a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 2,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 38,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8957,
        "blue_efficiency": 0.2055,
        "S": 19,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.17,
        "edges_at_risk": 14,
        "mean_thickness": 1.368,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7368,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          0,
          0
        ],
        "facing": "→",
        "response_ms": 1839,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from [0,0] to [1,0] to complete TARGET (0,0)-(1,0); avoid GREY/new-edge creation.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 1,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 39,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8963,
        "blue_efficiency": 0.2041,
        "S": 19,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.17,
        "edges_at_risk": 13,
        "mean_thickness": 1.421,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6842,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2363,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must go ↑ from (1,-1) to (1,-2) [GREY] only if that edge already exists; then go to (0,-1) and take BLUE along TARGET (0,-1)-(0,-2) to finish W=0 without creating any new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 2,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 40,
        "level": 6,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.897,
        "blue_efficiency": 0.2027,
        "S": 20,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.16,
        "edges_at_risk": 14,
        "mean_thickness": 1.4,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 22,
        "position": [
          0,
          -2
        ],
        "facing": "↖",
        "response_ms": 2362,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from [0,-2] to [0,-1] to complete TARGET (0,-1)-(0,-2) and finish W=0; avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 2,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 41,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.0,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8976,
        "blue_efficiency": 0.2081,
        "S": 21,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.16,
        "edges_at_risk": 15,
        "mean_thickness": 1.381,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(0,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(0,-1)-(0,-2)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 22,
        "position": [
          0,
          -1
        ],
        "facing": "↓",
        "response_ms": 1955,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from [0,-1] to [0,0] to complete TARGET (0,0)-(1,0) next; avoid GREY/new-edge creation.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 2,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 42,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.0,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8982,
        "blue_efficiency": 0.2067,
        "S": 21,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.15,
        "edges_at_risk": 15,
        "mean_thickness": 1.429,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 22,
        "position": [
          1,
          0
        ],
        "facing": "↘",
        "response_ms": 2160,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from [1,0] to [0,0] to complete the TARGET (0,0)-(1,0) and bring W to 0; avoid any GREY move that could create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 2,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 43,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8929,
        "blue_efficiency": 0.2067,
        "S": 21,
        "arrow": "←",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.14,
        "edges_at_risk": 15,
        "mean_thickness": 1.429,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 22,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2033,
        "was_retry": false,
        "was_random": false,
        "note": "Must take the immediate BLUE that completes the last TARGET edge (0,0)-(1,0) to reach W=0; avoid any GREY/new-edge creation.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 2,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 44,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8935,
        "blue_efficiency": 0.2053,
        "S": 21,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.14,
        "edges_at_risk": 15,
        "mean_thickness": 1.476,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 22,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2153,
        "was_retry": false,
        "was_random": false,
        "note": "Win condition: keep W=0 next step—avoid any GREY move that would create new edges; if forced to move, prefer BLUE on already-existing edges to add thickness.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 3,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 45,
        "level": 6,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8941,
        "blue_efficiency": 0.2039,
        "S": 22,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.13,
        "edges_at_risk": 16,
        "mean_thickness": 1.455,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7273,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 23,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 1957,
        "was_retry": false,
        "was_random": false,
        "note": "Take BLUE only on already-existing edges; avoid GREY (would create/damage and raise W).",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 3,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 46,
        "level": 6,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8947,
        "blue_efficiency": 0.2092,
        "S": 23,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.13,
        "edges_at_risk": 17,
        "mean_thickness": 1.435,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7391,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 23,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2005,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing completed edges with BLUE if possible; avoid GREY/new-edge creation until W reaches 0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-1)": 1,
          "(3,-1)-(2,0)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,0)": 3,
          "(0,0)-(-1,0)": 1,
          "(-1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,-1)": 1,
          "(-1,-1)-(0,0)": 1,
          "(1,0)-(2,-1)": 1,
          "(3,-1)-(3,0)": 1,
          "(0,-1)-(0,-2)": 1,
          "(0,-2)-(-1,-1)": 1,
          "(0,-1)-(-1,-2)": 1,
          "(-1,-2)-(-1,-1)": 1,
          "(1,-1)-(0,-2)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 46,
        "event": "LEVEL_COMPLETE",
        "completed_level": 6,
        "new_level": 7,
        "cumulative_blue_at_transition": 153,
        "cumulative_total_at_transition": 171,
        "cumulative_w_reductions": 32
      },
      {
        "step": 4,
        "level": 7,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.8953,
        "blue_efficiency": 0.2078,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 28,
        "oxygen_pct": 99.13,
        "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": 2162,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must stay on the existing row y=0 to complete remaining target edges (avoid creating new grey edges).",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 7,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.896,
        "blue_efficiency": 0.2065,
        "S": 2,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.13,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2087,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be a [BLUE] that crosses one of the remaining TARGET edges on y=0 (do not take any [GREY] move that creates new edges).",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 7,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.8966,
        "blue_efficiency": 0.2115,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.13,
        "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": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2735,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on y=0 and keep moving → with [BLUE] to finish the remaining TARGET edges on the (x,0)-(x+1,0) row; avoid all [GREY] moves.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 7,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.8971,
        "blue_efficiency": 0.2102,
        "S": 4,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.13,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          2,
          -1
        ],
        "facing": "↑",
        "response_ms": 2467,
        "was_retry": false,
        "was_random": false,
        "note": "Prioritize [BLUE] moves that immediately complete a remaining TARGET edge on y=0; avoid creating any new [GREY] edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(2,-1)": 1
        },
        "target_stability": 0.75
      },
      {
        "step": 8,
        "level": 7,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.8977,
        "blue_efficiency": 0.2089,
        "S": 5,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.12,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          1,
          -1
        ],
        "facing": "←",
        "response_ms": 1856,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must immediately complete TARGET (2,0)-(3,0) with a [BLUE] move; avoid any [GREY] move that creates new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "level": 7,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.3333,
        "blue_ratio_cum": 0.8983,
        "blue_efficiency": 0.2075,
        "S": 6,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.11,
        "edges_at_risk": 6,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 2263,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must complete the remaining TARGET (0,0)-(1,0) with a [BLUE] move (reach (1,0) then go ↙); avoid all [GREY] moves.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 10,
        "level": 7,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2857,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.1429,
        "blue_ratio_cum": 0.8989,
        "blue_efficiency": 0.2125,
        "S": 7,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.11,
        "edges_at_risk": 7,
        "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": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2367,
        "was_retry": false,
        "was_random": false,
        "note": "Next step go ← [GREY] to (2,0)->(1,0) using an EXISTING done edge (do not create any new edge), then go ↙ [BLUE] to complete TARGET (0,0)-(1,0).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 7,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.375,
        "epsilon_total": 0.375,
        "rho_minus_epsilon": -0.125,
        "blue_ratio_cum": 0.8994,
        "blue_efficiency": 0.2112,
        "S": 7,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.1,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 2569,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must go ↙ [BLUE] from (2,-1) to (1,0) (use only existing edges; avoid creating any new edge with [GREY]).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "level": 7,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3333,
        "epsilon_total": 0.3333,
        "rho_minus_epsilon": -0.1111,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.2099,
        "S": 7,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.1,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2456,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), go ↙ [BLUE] next to complete TARGET (0,0)-(1,0); avoid any [GREY] move that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 13,
        "level": 7,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.895,
        "blue_efficiency": 0.2099,
        "S": 7,
        "arrow": "←",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.09,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2044,
        "was_retry": false,
        "was_random": false,
        "note": "Next move go ↙ [BLUE] from (0,0) to complete the TARGET edge (0,0)-(1,0) and finish W=0.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 14,
        "level": 7,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8956,
        "blue_efficiency": 0.2086,
        "S": 8,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.08,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2572,
        "was_retry": false,
        "was_random": false,
        "note": "Do not use any [GREY] move that creates a new edge; next step must directly reduce W to 0 by crossing the remaining TARGET edge (0,0)-(1,0) with a [BLUE] move.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 7,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8962,
        "blue_efficiency": 0.2073,
        "S": 9,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.08,
        "edges_at_risk": 7,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2161,
        "was_retry": false,
        "was_random": false,
        "note": "Take a [BLUE] move that immediately completes the last TARGET edge to make W=0; do not take any [GREY] move that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 16,
        "level": 7,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8967,
        "blue_efficiency": 0.2121,
        "S": 10,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.07,
        "edges_at_risk": 8,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2671,
        "was_retry": false,
        "was_random": false,
        "note": "Must immediately finish by taking a [BLUE] move that completes the remaining TARGET edge (0,0)-(1,0), avoiding any [GREY] move that would create a new non-completed edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(2,-1)": 1,
          "(2,-1)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 16,
        "event": "LEVEL_COMPLETE",
        "completed_level": 7,
        "new_level": 8,
        "cumulative_blue_at_transition": 165,
        "cumulative_total_at_transition": 184,
        "cumulative_w_reductions": 35
      },
      {
        "step": 4,
        "level": 8,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.8973,
        "blue_efficiency": 0.2108,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 27,
        "oxygen_pct": 99.07,
        "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": 2299,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing target-line (y=0) next; take only BLUE moves that immediately complete a listed target edge.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 8,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.8978,
        "blue_efficiency": 0.2096,
        "S": 2,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 99.07,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2279,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along the (y=0) target chain with BLUE moves only; avoid GREY that creates new edges/targets.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 8,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.8984,
        "blue_efficiency": 0.2143,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 99.07,
        "edges_at_risk": 3,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 0.83,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2025,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving along y=0 using BLUE moves that complete the remaining TARGET edges; avoid GREY moves that would create new non-completed edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.667
      },
      {
        "step": 7,
        "level": 8,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 2,
        "B_blue": 0,
        "B_grey": 2,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.8989,
        "blue_efficiency": 0.213,
        "S": 3,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 99.07,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 2369,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), take ↑ (BLUE) to (2,0) next to set up completing the remaining y=0 TARGET edges without creating any new GREY edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.5
      },
      {
        "step": 8,
        "level": 8,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.8,
        "epsilon_total": 0.8,
        "rho_minus_epsilon": -0.6,
        "blue_ratio_cum": 0.8942,
        "blue_efficiency": 0.213,
        "S": 3,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 99.07,
        "edges_at_risk": 2,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(2,-1)-(3,-2)"
        ],
        "total_edges": 6,
        "position": [
          3,
          -2
        ],
        "facing": "↗",
        "response_ms": 1920,
        "was_retry": false,
        "was_random": false,
        "note": "Next, prioritize reaching (2,0) and then complete the two remaining y=0 TARGET edges with BLUE moves; avoid creating any new GREY edges.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 9,
        "level": 8,
        "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": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6667,
        "epsilon_total": 0.6667,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.8947,
        "blue_efficiency": 0.2118,
        "S": 4,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 99.06,
        "edges_at_risk": 3,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          3,
          -1
        ],
        "facing": "↓",
        "response_ms": 2261,
        "was_retry": false,
        "was_random": false,
        "note": "After this BLUE, head toward the remaining TARGETs at y=0 using only existing edges—avoid any GREY move that would create a new non-completed edge.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-2)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 10,
        "level": 8,
        "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": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5714,
        "epsilon_total": 0.5714,
        "rho_minus_epsilon": -0.4286,
        "blue_ratio_cum": 0.8953,
        "blue_efficiency": 0.2105,
        "S": 5,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 99.05,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 2365,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE onto an existing TARGET edge on y=0 (aim to chain the remaining (0,0)-(1,0) and (1,0)-(2,0)) and avoid any GREY that creates a new edge.",
        "thickness_map": {
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 8,
        "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": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.25,
        "blue_ratio_cum": 0.8958,
        "blue_efficiency": 0.2151,
        "S": 6,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 99.05,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.17,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2292,
        "was_retry": false,
        "was_random": false,
        "note": "Next aim to BLUE along y=0 to finish both remaining TARGETs there (prefer moving to (0,0) after reaching (1,0)); avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 12,
        "level": 8,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2222,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4444,
        "epsilon_total": 0.4444,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.8964,
        "blue_efficiency": 0.2139,
        "S": 7,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 99.04,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2465,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (1,-1), take BLUE ↗ to (2,-1) to approach and finish the remaining TARGET at (2,-1)-(3,-2) without using GREY on new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 13,
        "level": 8,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.8969,
        "blue_efficiency": 0.2126,
        "S": 8,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 99.04,
        "edges_at_risk": 7,
        "mean_thickness": 1.125,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.875,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          2,
          -2
        ],
        "facing": "↗",
        "response_ms": 2101,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), prioritize a BLUE move that completes TARGET (2,-1)-(3,-2); avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 14,
        "level": 8,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8974,
        "blue_efficiency": 0.2114,
        "S": 9,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 99.03,
        "edges_at_risk": 8,
        "mean_thickness": 1.111,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8889,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(3,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          3,
          -2
        ],
        "facing": "→",
        "response_ms": 2152,
        "was_retry": false,
        "was_random": false,
        "note": "Take BLUE → to complete TARGET (2,-1)-(3,-2); next head toward (0,0)-(1,0) without GREY on new edges (prefer staying on existing edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 15,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.898,
        "blue_efficiency": 0.2159,
        "S": 10,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 99.02,
        "edges_at_risk": 9,
        "mean_thickness": 1.1,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9,
        "d_min": 0,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(3,-2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,-1)-(3,-2)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          2,
          -1
        ],
        "facing": "↙",
        "response_ms": 1847,
        "was_retry": false,
        "was_random": false,
        "note": "Next, head toward (0,0)-(1,0) using only existing edges if possible; avoid GREY that would create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 16,
        "level": 8,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8934,
        "blue_efficiency": 0.2159,
        "S": 10,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 99.02,
        "edges_at_risk": 9,
        "mean_thickness": 1.1,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(2,-1)-(1,0)"
        ],
        "total_edges": 12,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 1959,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving along existing edges toward node (1,0) so the next BLUE can complete TARGET (0,0)-(1,0); avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 17,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8939,
        "blue_efficiency": 0.2203,
        "S": 11,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 99.01,
        "edges_at_risk": 10,
        "mean_thickness": 1.091,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9091,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2163,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete TARGET (0,0)-(1,0) by crossing (0,0)-(1,0); avoid any GREY that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 18,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8945,
        "blue_efficiency": 0.2191,
        "S": 12,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 99.01,
        "edges_at_risk": 11,
        "mean_thickness": 1.083,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.9167,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2664,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,-1), go to (1,0) next via an existing edge, then BLUE-cross (1,0)-(2,-1) to finish the last TARGET; avoid GREY on new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 19,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.895,
        "blue_efficiency": 0.2179,
        "S": 12,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 99,
        "edges_at_risk": 10,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2198,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0) immediately BLUE-cross the remaining TARGET edge (1,0)-(2,-1); do not take any GREY move that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 20,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8955,
        "blue_efficiency": 0.2167,
        "S": 13,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.99,
        "edges_at_risk": 11,
        "mean_thickness": 1.154,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8462,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 1915,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must go directly to (2,-1) via the TARGET edge and avoid any GREY move that creates a new edge (finish W→0 immediately).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 21,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.896,
        "blue_efficiency": 0.2155,
        "S": 14,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.99,
        "edges_at_risk": 12,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          -1
        ],
        "facing": "→",
        "response_ms": 2096,
        "was_retry": false,
        "was_random": false,
        "note": "Next step: from (1,-1) take ↗ [BLUE] to (2,-1) to avoid creating any new GREY edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 2,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 22,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8966,
        "blue_efficiency": 0.2143,
        "S": 14,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.98,
        "edges_at_risk": 12,
        "mean_thickness": 1.214,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2155,
        "was_retry": false,
        "was_random": false,
        "note": "Take the BLUE move that completes the last TARGET edge (2,-1)-(1,0), driving W to 0; avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 23,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8971,
        "blue_efficiency": 0.2131,
        "S": 14,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.98,
        "edges_at_risk": 11,
        "mean_thickness": 1.286,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7857,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2168,
        "was_retry": false,
        "was_random": false,
        "note": "Move onto/along the remaining TARGET edge next; prioritize BLUE moves that reduce W to 0 and avoid GREY moves that would create any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 24,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8976,
        "blue_efficiency": 0.212,
        "S": 14,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.97,
        "edges_at_risk": 10,
        "mean_thickness": 1.357,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2267,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ↑ [BLUE] from (1,-1) to (1,0) to complete the last TARGET edge (2,-1)-(1,0) and avoid any GREY that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 2,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 25,
        "level": 8,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8981,
        "blue_efficiency": 0.2108,
        "S": 15,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.96,
        "edges_at_risk": 11,
        "mean_thickness": 1.333,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7333,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 1,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          -1
        ],
        "facing": "→",
        "response_ms": 2059,
        "was_retry": false,
        "was_random": false,
        "note": "Take the BLUE move that completes the remaining TARGET edge and brings W to 0; avoid any GREY move (especially onto new terrain) that would create new edges/targets.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(0,0)-(1,-1)": 2,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(2,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 26,
        "level": 8,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8986,
        "blue_efficiency": 0.2151,
        "S": 16,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.96,
        "edges_at_risk": 12,
        "mean_thickness": 1.312,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,-1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,-1)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2468,
        "was_retry": false,
        "was_random": false,
        "note": "If W becomes 0, avoid GREY moves (don’t create new edges); if forced to move, prefer BLUE over already-completed edges to add thickness and resist BITE.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(2,-1)-(3,-2)": 1,
          "(3,-2)-(3,-1)": 1,
          "(3,-1)-(2,0)": 1,
          "(1,0)-(1,-1)": 3,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(3,-2)": 1,
          "(2,-1)-(1,0)": 1,
          "(0,0)-(1,-1)": 2,
          "(1,0)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(2,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 26,
        "event": "LEVEL_COMPLETE",
        "completed_level": 8,
        "new_level": 9,
        "cumulative_blue_at_transition": 186,
        "cumulative_total_at_transition": 207,
        "cumulative_w_reductions": 40
      },
      {
        "step": 4,
        "level": 9,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.899,
        "blue_efficiency": 0.2139,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 98.96,
        "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": 2667,
        "was_retry": false,
        "was_random": false,
        "note": "Prioritize BLUE moves that directly complete one of the three horizontal target edges (0-1, 1-2, 2-3) without creating new GREY edges.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 9,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.8995,
        "blue_efficiency": 0.2128,
        "S": 2,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.96,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 2160,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE onto an existing horizontal target edge (preferably (1,0)-(2,0) or (0,0)-(1,0)); avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.2169,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.96,
        "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": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2775,
        "was_retry": false,
        "was_random": false,
        "note": "Next, take BLUE moves along the remaining horizontal targets in order (2,0)-(3,0) then (1,0)-(2,0) (avoid GREY/new-edge moves).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.9005,
        "blue_efficiency": 0.2158,
        "S": 4,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.96,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          3,
          -1
        ],
        "facing": "↗",
        "response_ms": 2072,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE that completes a listed TARGET edge (aim for (0,0)-(1,0)); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1
        },
        "target_stability": 0.75
      },
      {
        "step": 8,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.9009,
        "blue_efficiency": 0.2147,
        "S": 5,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.95,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          2,
          -1
        ],
        "facing": "←",
        "response_ms": 2462,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must stay on existing edges (no GREY onto new terrain); prioritize BLUE that completes the remaining TARGET (2,0)-(3,0) next.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.3333,
        "blue_ratio_cum": 0.9014,
        "blue_efficiency": 0.2135,
        "S": 5,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.95,
        "edges_at_risk": 4,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          3,
          0
        ],
        "facing": "↘",
        "response_ms": 2169,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching [3,0], take BLUE ↙ to complete TARGET (2,0)-(3,0); avoid GREY onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 10,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.2857,
        "blue_ratio_cum": 0.9019,
        "blue_efficiency": 0.2124,
        "S": 6,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.94,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          4,
          0
        ],
        "facing": "→",
        "response_ms": 1854,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE that completes the listed TARGET (2,0)-(3,0); avoid any GREY move onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(3,0)-(4,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.125,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.375,
        "epsilon_total": 0.375,
        "rho_minus_epsilon": -0.25,
        "blue_ratio_cum": 0.9023,
        "blue_efficiency": 0.2113,
        "S": 7,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.93,
        "edges_at_risk": 6,
        "mean_thickness": 1.143,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8571,
        "d_min": 1,
        "d_mean": 2.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          3,
          -1
        ],
        "facing": "↖",
        "response_ms": 2099,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must be BLUE ↙ from [3,-1] to [2,0] to complete TARGET (2,0)-(3,0), staying on existing edges (no GREY onto new terrain).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-1)": 1,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 12,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.1111,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3333,
        "epsilon_total": 0.3333,
        "rho_minus_epsilon": -0.2222,
        "blue_ratio_cum": 0.9028,
        "blue_efficiency": 0.2103,
        "S": 7,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.93,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 2365,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go to (1,0) then take BLUE ← to complete remaining TARGET (0,0)-(1,0); avoid GREY onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 2,
          "(3,-1)-(2,-1)": 1,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 13,
        "level": 9,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.3,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9032,
        "blue_efficiency": 0.2143,
        "S": 8,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.92,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2235,
        "was_retry": false,
        "was_random": false,
        "note": "Go to (1,0) next via existing DONE edges, then take BLUE ← to complete TARGET (0,0)-(1,0); avoid GREY onto new terrain.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 2,
          "(3,-1)-(2,-1)": 1,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 14,
        "level": 9,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 3,
        "B_blue": 0,
        "B_grey": 3,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.9037,
        "blue_efficiency": 0.2132,
        "S": 8,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.92,
        "edges_at_risk": 6,
        "mean_thickness": 1.375,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 3,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 2055,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing DONE edges toward (1,0); avoid any GREY moves that create new edges, then take BLUE to complete TARGET (0,0)-(1,0).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 2,
          "(3,-1)-(2,-1)": 1,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8995,
        "blue_efficiency": 0.2132,
        "S": 7,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.91,
        "edges_at_risk": 5,
        "mean_thickness": 1.429,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(3,-1)-(2,-1)"
        ],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 2097,
        "was_retry": false,
        "was_random": false,
        "note": "Reach (1,0) via existing DONE edges only; avoid creating any new GREY edges, then take BLUE ← to finish TARGET (0,0)-(1,0).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 2,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 16,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.2121,
        "S": 7,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.91,
        "edges_at_risk": 5,
        "mean_thickness": 1.571,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 1866,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing DONE edges; next aim for (1,0) to take BLUE ← and complete TARGET (0,0)-(1,0).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 17,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9005,
        "blue_efficiency": 0.2111,
        "S": 7,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98.9,
        "edges_at_risk": 4,
        "mean_thickness": 1.714,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5714,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 1558,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take BLUE ← next to complete TARGET (0,0)-(1,0); avoid GREY moves onto new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 18,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9009,
        "blue_efficiency": 0.21,
        "S": 8,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 98.89,
        "edges_at_risk": 5,
        "mean_thickness": 1.625,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2236,
        "was_retry": false,
        "was_random": false,
        "note": "Next go ↗ (BLUE) to head toward (3,-1)-(2,-1) without taking any GREY move that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 19,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9013,
        "blue_efficiency": 0.209,
        "S": 9,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.89,
        "edges_at_risk": 6,
        "mean_thickness": 1.556,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          2,
          -2
        ],
        "facing": "↗",
        "response_ms": 2265,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges; prioritize BLUE moves that reduce W (aim to reach and complete TARGET (3,-1)-(2,-1) next) and avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 20,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9018,
        "blue_efficiency": 0.2079,
        "S": 10,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.88,
        "edges_at_risk": 7,
        "mean_thickness": 1.5,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7,
        "d_min": 1,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          2,
          -1
        ],
        "facing": "↓",
        "response_ms": 1936,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), take BLUE ↘ next to complete TARGET (3,-1)-(2,-1); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 21,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9022,
        "blue_efficiency": 0.2069,
        "S": 10,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.88,
        "edges_at_risk": 6,
        "mean_thickness": 1.6,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 1676,
        "was_retry": false,
        "was_random": false,
        "note": "Next move should complete TARGET (0,0)-(1,0) via a BLUE edge; avoid GREY moves that would create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 22,
        "level": 9,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9027,
        "blue_efficiency": 0.2108,
        "S": 11,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.87,
        "edges_at_risk": 7,
        "mean_thickness": 1.545,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6364,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2264,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must target the remaining edge near (3,-1)-(2,-1) using only existing edges (avoid GREY into new terrain).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 23,
        "level": 9,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9031,
        "blue_efficiency": 0.2098,
        "S": 12,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.86,
        "edges_at_risk": 8,
        "mean_thickness": 1.5,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2568,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be a BLUE crossing of TARGET (3,-1)-(2,-1) (finish W→0); avoid any GREY move that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 24,
        "level": 9,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9035,
        "blue_efficiency": 0.2087,
        "S": 13,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.86,
        "edges_at_risk": 9,
        "mean_thickness": 1.462,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 2066,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (2,0), take BLUE moves only along existing edges to cross TARGET (3,-1)-(2,-1) and finish W→0 (avoid GREY into new terrain).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 25,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8996,
        "blue_efficiency": 0.2087,
        "S": 13,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.85,
        "edges_at_risk": 9,
        "mean_thickness": 1.462,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 1,
        "d_mean": 1.0,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(2,0)-(2,-1)"
        ],
        "total_edges": 15,
        "position": [
          2,
          -1
        ],
        "facing": "↑",
        "response_ms": 2328,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), take ↗ as GREY (existing edge to 3,-1), then take ← as BLUE to cross TARGET (3,-1)-(2,-1) and finish W→0; do not use GREY into any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 26,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8957,
        "blue_efficiency": 0.2087,
        "S": 13,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 98.85,
        "edges_at_risk": 9,
        "mean_thickness": 1.462,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 2050,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ← as BLUE to cross TARGET (3,-1)-(2,-1) (make W→0); no GREY moves into new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 3,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 27,
        "level": 9,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8961,
        "blue_efficiency": 0.2077,
        "S": 13,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 98.84,
        "edges_at_risk": 9,
        "mean_thickness": 1.538,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 2237,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), take ↓ as BLUE to cross TARGET (2,0)-(2,-1); avoid any GREY that creates new edges (keep W dropping to 0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 4,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 28,
        "level": 9,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8966,
        "blue_efficiency": 0.2115,
        "S": 14,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 98.83,
        "edges_at_risk": 10,
        "mean_thickness": 1.5,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(2,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(2,0)-(2,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          2,
          -1
        ],
        "facing": "↑",
        "response_ms": 1644,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ← as BLUE from (2,-1) to complete TARGET (3,-1)-(2,-1) and make W→0; avoid any GREY that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 4,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1,
          "(2,0)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 29,
        "level": 9,
        "cycle": 1,
        "W": 0,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.3,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.897,
        "blue_efficiency": 0.2153,
        "S": 15,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 98.83,
        "edges_at_risk": 11,
        "mean_thickness": 1.467,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.7333,
        "d_min": 0,
        "d_mean": 0.5,
        "d_max": 1,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(2,-1)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [
          "(3,-1)-(2,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 1678,
        "was_retry": false,
        "was_random": false,
        "note": "If W hits 0, prioritize BLUE moves that add thickness to the oldest/thinnest DONE edges to survive the imminent BITE (avoid GREY unless forced).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 4,
          "(3,-1)-(2,-1)": 1,
          "(3,0)-(4,0)": 1,
          "(4,0)-(3,-1)": 1,
          "(1,0)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(0,0)-(1,-1)": 1,
          "(1,-1)-(2,0)": 1,
          "(2,0)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 29,
        "event": "LEVEL_COMPLETE",
        "completed_level": 9,
        "new_level": 10,
        "cumulative_blue_at_transition": 209,
        "cumulative_total_at_transition": 233,
        "cumulative_w_reductions": 45
      },
      {
        "step": 4,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 3,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 3.0,
        "epsilon_total": 3.0,
        "rho_minus_epsilon": -3.0,
        "blue_ratio_cum": 0.8974,
        "blue_efficiency": 0.2143,
        "S": 1,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.83,
        "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": 1639,
        "was_retry": false,
        "was_random": false,
        "note": "Prioritize BLUE moves that directly cover remaining target edges along y=0; avoid GREY unless it sets up an immediate target completion.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1
        },
        "target_stability": null
      },
      {
        "step": 5,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.5,
        "epsilon_total": 1.5,
        "rho_minus_epsilon": -1.5,
        "blue_ratio_cum": 0.8979,
        "blue_efficiency": 0.2133,
        "S": 2,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.83,
        "edges_at_risk": 2,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.67,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(1,0)-(2,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          1,
          0
        ],
        "facing": "↙",
        "response_ms": 1728,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE and finish one of the remaining y=0 target edges without creating any new GREY edge.",
        "thickness_map": {
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 6,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.3333,
        "epsilon_passive": 0.0,
        "epsilon_active": 1.0,
        "epsilon_total": 1.0,
        "rho_minus_epsilon": -0.6667,
        "blue_ratio_cum": 0.8983,
        "blue_efficiency": 0.217,
        "S": 3,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.83,
        "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": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(1,0)-(2,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 5,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 1843,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on the y=0 chain; prioritize BLUE crossings that complete remaining TARGET edges (minimize GREY/new edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1
        },
        "target_stability": 1.0
      },
      {
        "step": 7,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 2,
        "B_grey": 3,
        "rho_eff": 0.25,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.75,
        "epsilon_total": 0.75,
        "rho_minus_epsilon": -0.5,
        "blue_ratio_cum": 0.8987,
        "blue_efficiency": 0.216,
        "S": 4,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.83,
        "edges_at_risk": 4,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 6,
        "position": [
          3,
          -1
        ],
        "facing": "↗",
        "response_ms": 2027,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete a remaining TARGET edge on y=0 (prefer (2,0)-(3,0)); avoid GREY/new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1
        },
        "target_stability": 0.75
      },
      {
        "step": 8,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.6,
        "epsilon_total": 0.6,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.8992,
        "blue_efficiency": 0.215,
        "S": 5,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.82,
        "edges_at_risk": 5,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 7,
        "position": [
          2,
          -2
        ],
        "facing": "↖",
        "response_ms": 1675,
        "was_retry": false,
        "was_random": false,
        "note": "From [2,-2], route toward y=0 and complete TARGET (2,0)-(3,0) with BLUE ASAP; avoid GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 9,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1667,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.5,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.3333,
        "blue_ratio_cum": 0.8996,
        "blue_efficiency": 0.214,
        "S": 6,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.82,
        "edges_at_risk": 6,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 2,
        "d_mean": 2.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 8,
        "position": [
          2,
          -1
        ],
        "facing": "↓",
        "response_ms": 1750,
        "was_retry": false,
        "was_random": false,
        "note": "Continue BLUE-only path toward y=0; next objective is to reach and complete TARGET (2,0)-(3,0) without any GREY/new-edge moves.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 10,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1429,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.4286,
        "epsilon_total": 0.4286,
        "rho_minus_epsilon": -0.2857,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.213,
        "S": 7,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.81,
        "edges_at_risk": 7,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 1441,
        "was_retry": false,
        "was_random": false,
        "note": "After this, navigate to (2,0) and complete TARGET (2,0)-(3,0) with a BLUE move ASAP; avoid GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 11,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.125,
        "epsilon_passive": 0.125,
        "epsilon_active": 0.375,
        "epsilon_total": 0.5,
        "rho_minus_epsilon": -0.375,
        "blue_ratio_cum": 0.8963,
        "blue_efficiency": 0.213,
        "S": 6,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.8,
        "edges_at_risk": 6,
        "mean_thickness": 1,
        "max_thickness": 1,
        "min_thickness": 1,
        "erosion_pressure": 1.0,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(2,0)-(3,-1)"
        ],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 1880,
        "was_retry": false,
        "was_random": false,
        "note": "Next, take BLUE moves only until TARGET (2,0)-(3,0) is completed (aim to stand at (2,0) then go → in BLUE).",
        "thickness_map": {
          "(1,0)-(2,0)": 1,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 12,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1111,
        "epsilon_passive": 0.1111,
        "epsilon_active": 0.3333,
        "epsilon_total": 0.4444,
        "rho_minus_epsilon": -0.3333,
        "blue_ratio_cum": 0.8967,
        "blue_efficiency": 0.212,
        "S": 6,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.8,
        "edges_at_risk": 5,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 0,
        "d_mean": 0.83,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 1646,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take BLUE → next to complete TARGET (2,0)-(3,0); avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 13,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.3,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.8971,
        "blue_efficiency": 0.211,
        "S": 6,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.79,
        "edges_at_risk": 4,
        "mean_thickness": 1.333,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 0,
        "d_mean": 1.17,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 9,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 2489,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges; next move must reduce W by completing a listed TARGET (aim to reach (2,0) then BLUE → to (3,0)).",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 14,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8975,
        "blue_efficiency": 0.21,
        "S": 7,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.79,
        "edges_at_risk": 5,
        "mean_thickness": 1.286,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7143,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 10,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 1546,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE and directly complete a listed TARGET; do not take any GREY move that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 15,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.898,
        "blue_efficiency": 0.2091,
        "S": 8,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.78,
        "edges_at_risk": 6,
        "mean_thickness": 1.25,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.75,
        "d_min": 0,
        "d_mean": 0.83,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 11,
        "position": [
          1,
          1
        ],
        "facing": "↙",
        "response_ms": 1958,
        "was_retry": false,
        "was_random": false,
        "note": "Next move should be BLUE again to complete one of the remaining TARGET edges adjacent to your new position (prioritize finishing the last few targets, no GREY onto new edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(2,0)-(1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 16,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8984,
        "blue_efficiency": 0.2081,
        "S": 9,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98.77,
        "edges_at_risk": 7,
        "mean_thickness": 1.222,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.7778,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          0,
          0
        ],
        "facing": "↖",
        "response_ms": 1853,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must head toward the remaining TARGETs near y=0 (route to (1,0) then toward (2,0)) while avoiding GREY moves that create new edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 17,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8988,
        "blue_efficiency": 0.2117,
        "S": 10,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 98.77,
        "edges_at_risk": 8,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 0,
        "d_mean": 1.83,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 12,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 1789,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE and complete the TARGET (0,0)-(1,0); then route via existing DONE edges toward the remaining TARGETs at y=0 without taking GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 18,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8992,
        "blue_efficiency": 0.2108,
        "S": 11,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.76,
        "edges_at_risk": 9,
        "mean_thickness": 1.182,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8182,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          1,
          1
        ],
        "facing": "↓",
        "response_ms": 1687,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must go to (2,0) via existing edges, then take a BLUE move that completes one of the two remaining TARGET edges from (2,0) (no GREY that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 19,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.0,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8956,
        "blue_efficiency": 0.2108,
        "S": 10,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.76,
        "edges_at_risk": 8,
        "mean_thickness": 1.2,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8,
        "d_min": 2,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(2,0)-(1,1)"
        ],
        "new_targets_created": [],
        "total_edges": 13,
        "position": [
          2,
          0
        ],
        "facing": "↗",
        "response_ms": 1975,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), take a BLUE move to complete one remaining TARGET edge (either (2,0)-(3,0) or (2,0)-(3,-1)); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 20,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.0,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.896,
        "blue_efficiency": 0.2098,
        "S": 11,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.75,
        "edges_at_risk": 9,
        "mean_thickness": 1.182,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8182,
        "d_min": 0,
        "d_mean": 0.67,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 14,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 1791,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,-1), take a BLUE move that completes the remaining TARGET edge from (2,0) to either (3,0) or (3,-1); do not use GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 21,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8964,
        "blue_efficiency": 0.2089,
        "S": 12,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.74,
        "edges_at_risk": 10,
        "mean_thickness": 1.167,
        "max_thickness": 2,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 1714,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go from (1,0) to (2,0) via BLUE, then take BLUE from (2,0) to complete one TARGET edge (prefer (2,0)-(3,0) or (2,0)-(3,-1)); avoid GREY that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 2,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 22,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8968,
        "blue_efficiency": 0.208,
        "S": 12,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.74,
        "edges_at_risk": 10,
        "mean_thickness": 1.25,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.8333,
        "d_min": 1,
        "d_mean": 1.33,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2179,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), immediately take a BLUE move to complete a remaining TARGET edge (prefer (2,0)-(3,0) or (2,0)-(3,-1)); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 23,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8972,
        "blue_efficiency": 0.2115,
        "S": 13,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.73,
        "edges_at_risk": 11,
        "mean_thickness": 1.231,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.8462,
        "d_min": 0,
        "d_mean": 0.67,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          3,
          -1
        ],
        "facing": "↗",
        "response_ms": 1807,
        "was_retry": false,
        "was_random": false,
        "note": "Next step, complete another TARGET from (3,-1) without taking a GREY move onto a new edge (avoid creating new targets).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 1,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 24,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8976,
        "blue_efficiency": 0.2105,
        "S": 13,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.73,
        "edges_at_risk": 10,
        "mean_thickness": 1.308,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.7692,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          2,
          -1
        ],
        "facing": "←",
        "response_ms": 1650,
        "was_retry": false,
        "was_random": false,
        "note": "Use BLUE moves that directly complete a remaining TARGET edge; avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 1,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 25,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.898,
        "blue_efficiency": 0.2096,
        "S": 13,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 98.72,
        "edges_at_risk": 9,
        "mean_thickness": 1.385,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          3,
          0
        ],
        "facing": "↘",
        "response_ms": 2076,
        "was_retry": false,
        "was_random": false,
        "note": "Next step, from (3,0) take a BLUE move to complete the remaining TARGET edge (2,0)-(1,1) without using GREY on any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 26,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8945,
        "blue_efficiency": 0.2096,
        "S": 13,
        "arrow": "←",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 98.71,
        "edges_at_risk": 9,
        "mean_thickness": 1.385,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6923,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          2,
          0
        ],
        "facing": "←",
        "response_ms": 1647,
        "was_retry": false,
        "was_random": false,
        "note": "Next step from (2,0), take a BLUE move that completes the remaining TARGET edge (2,0)-(1,1), avoiding any GREY move onto a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 1,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 27,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8949,
        "blue_efficiency": 0.2087,
        "S": 13,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 98.71,
        "edges_at_risk": 8,
        "mean_thickness": 1.462,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6154,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 15,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 2361,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,-1), immediately take a GREY move onto an EXISTING edge to reach (1,0) or (2,0), avoiding creation of any new edge/target while setting up the final TARGET (2,0)-(3,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 28,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8953,
        "blue_efficiency": 0.2078,
        "S": 14,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 98.7,
        "edges_at_risk": 9,
        "mean_thickness": 1.429,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.6429,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          -1
        ],
        "facing": "→",
        "response_ms": 1585,
        "was_retry": false,
        "was_random": false,
        "note": "Prioritize reaching (2,0) next, then take BLUE to complete TARGET (2,0)-(3,0); avoid GREY moves that create any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 1,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 29,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8958,
        "blue_efficiency": 0.2069,
        "S": 13,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 98.7,
        "edges_at_risk": 7,
        "mean_thickness": 1.538,
        "max_thickness": 3,
        "min_thickness": 1,
        "erosion_pressure": 0.5385,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(0,0)-(1,0)"
        ],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 2155,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (2,0), take ↘ BLUE to complete the remaining TARGET edge (2,0)-(3,0); avoid any GREY move that would create a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 3,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 30,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8962,
        "blue_efficiency": 0.206,
        "S": 13,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.69,
        "edges_at_risk": 7,
        "mean_thickness": 1.615,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5385,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 16,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 1576,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take → BLUE next to complete TARGET (0,0)-(1,0); avoid GREY moves that create new edges/targets.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 31,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8966,
        "blue_efficiency": 0.2051,
        "S": 14,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.69,
        "edges_at_risk": 8,
        "mean_thickness": 1.571,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5714,
        "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": 17,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 1784,
        "was_retry": false,
        "was_random": false,
        "note": "Next go to (0,0) then take a BLUE move to complete TARGET (0,0)-(1,0); avoid any GREY that creates a new edge/target.",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 32,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8931,
        "blue_efficiency": 0.2051,
        "S": 14,
        "arrow": "↓",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.68,
        "edges_at_risk": 8,
        "mean_thickness": 1.571,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5714,
        "d_min": 1,
        "d_mean": 2.17,
        "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)-(0,0)"
        ],
        "total_edges": 18,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 1547,
        "was_retry": false,
        "was_random": false,
        "note": "Move to (0,0) using an existing edge only (no new-edge GREY); then take → BLUE to complete TARGET (0,0)-(1,0).",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 33,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8935,
        "blue_efficiency": 0.2085,
        "S": 15,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.67,
        "edges_at_risk": 9,
        "mean_thickness": 1.533,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 0,
        "d_mean": 1.38,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 18,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 1888,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (1,0), go back to (0,0) via existing edge only, then take → BLUE to finish TARGET (0,0)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 34,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8939,
        "blue_efficiency": 0.2076,
        "S": 15,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.67,
        "edges_at_risk": 8,
        "mean_thickness": 1.6,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5333,
        "d_min": 1,
        "d_mean": 1.33,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 18,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 1649,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,-1) go ↑ [BLUE] to complete TARGET (0,-1)-(0,0); avoid GREY on any new edge (no W+1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2
        },
        "target_stability": 0.4
      },
      {
        "step": 35,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8943,
        "blue_efficiency": 0.2068,
        "S": 16,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.66,
        "edges_at_risk": 9,
        "mean_thickness": 1.562,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5625,
        "d_min": 0,
        "d_mean": 1.83,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 4,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 19,
        "position": [
          -1,
          0
        ],
        "facing": "↙",
        "response_ms": 1744,
        "was_retry": false,
        "was_random": false,
        "note": "Next, take a BLUE move that directly completes one of the remaining TARGET edges (avoid any GREY that would create a new edge/W+1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(-1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 36,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.891,
        "blue_efficiency": 0.2068,
        "S": 16,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.66,
        "edges_at_risk": 9,
        "mean_thickness": 1.562,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5625,
        "d_min": 1,
        "d_mean": 2.5,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(0,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(-1,0)-(-1,-1)"
        ],
        "total_edges": 20,
        "position": [
          -1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2249,
        "was_retry": false,
        "was_random": false,
        "note": "Use GREY moves only along existing edges toward (0,-1)-(0,0) so the next BLUE can complete a remaining TARGET; do not step onto any new edge that would raise W.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(-1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 37,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.8914,
        "blue_efficiency": 0.2059,
        "S": 17,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.65,
        "edges_at_risk": 10,
        "mean_thickness": 1.529,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5882,
        "d_min": 0,
        "d_mean": 2.0,
        "d_max": 4,
        "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": 21,
        "position": [
          0,
          -1
        ],
        "facing": "→",
        "response_ms": 2147,
        "was_retry": false,
        "was_random": false,
        "note": "Prioritize BLUE moves that complete an explicit TARGET edge; avoid any GREY move that would create a new edge (no W+1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(-1,0)": 1,
          "(-1,-1)-(0,-1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 38,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8918,
        "blue_efficiency": 0.2092,
        "S": 18,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.64,
        "edges_at_risk": 11,
        "mean_thickness": 1.5,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6111,
        "d_min": 0,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(0,-1)-(0,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 21,
        "position": [
          0,
          0
        ],
        "facing": "↓",
        "response_ms": 2135,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE only if it completes a listed TARGET edge; otherwise use GREY strictly on existing edges (no new-edge creation/W+1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 1,
          "(-1,-1)-(0,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 39,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8922,
        "blue_efficiency": 0.2083,
        "S": 19,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.64,
        "edges_at_risk": 12,
        "mean_thickness": 1.474,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6316,
        "d_min": 1,
        "d_mean": 1.83,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 22,
        "position": [
          -1,
          -1
        ],
        "facing": "↖",
        "response_ms": 1752,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE only if it completes a listed TARGET edge; otherwise use GREY strictly on existing edges (no new-edge creation/W+1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 1,
          "(-1,-1)-(0,-1)": 1,
          "(0,0)-(-1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 40,
        "level": 10,
        "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": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8926,
        "blue_efficiency": 0.2075,
        "S": 20,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.63,
        "edges_at_risk": 13,
        "mean_thickness": 1.45,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.65,
        "d_min": 0,
        "d_mean": 2.33,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 23,
        "position": [
          0,
          -2
        ],
        "facing": "↗",
        "response_ms": 1932,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must aim to finish the remaining TARGET at (-1,0)-(-1,-1) without creating any new GREY edges (stay on existing edges only).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 1,
          "(-1,-1)-(0,-1)": 1,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 41,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.2,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.893,
        "blue_efficiency": 0.2066,
        "S": 21,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.63,
        "edges_at_risk": 14,
        "mean_thickness": 1.429,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6667,
        "d_min": 2,
        "d_mean": 3.17,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 24,
        "position": [
          0,
          -1
        ],
        "facing": "↓",
        "response_ms": 2033,
        "was_retry": false,
        "was_random": false,
        "note": "Continue toward finishing TARGET (-1,0)-(-1,-1) by moving only along existing edges; avoid any GREY move that would create a new edge (no W+1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 1,
          "(-1,-1)-(0,-1)": 1,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 42,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8934,
        "blue_efficiency": 0.2058,
        "S": 21,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98.62,
        "edges_at_risk": 13,
        "mean_thickness": 1.476,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.619,
        "d_min": 1,
        "d_mean": 2.17,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 24,
        "position": [
          -1,
          0
        ],
        "facing": "↙",
        "response_ms": 1900,
        "was_retry": false,
        "was_random": false,
        "note": "Next, continue toward the remaining TARGET at (2,0)-(1,1) and/or (2,0)-(3,0) using only existing edges (no GREY that creates a new edge); take BLUE only if it completes a listed TARGET.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 2,
          "(-1,-1)-(0,-1)": 1,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 43,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8938,
        "blue_efficiency": 0.2049,
        "S": 22,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 98.61,
        "edges_at_risk": 14,
        "mean_thickness": 1.455,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6364,
        "d_min": 0,
        "d_mean": 2.17,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 25,
        "position": [
          -2,
          0
        ],
        "facing": "←",
        "response_ms": 1841,
        "was_retry": false,
        "was_random": false,
        "note": "After this, head along existing edges toward node (2,0) to complete TARGET (2,0)-(3,0) and/or (2,0)-(1,1); avoid any GREY move that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 2,
          "(-1,-1)-(0,-1)": 1,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 44,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8942,
        "blue_efficiency": 0.2041,
        "S": 23,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.61,
        "edges_at_risk": 15,
        "mean_thickness": 1.435,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6522,
        "d_min": 1,
        "d_mean": 3.0,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2467,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE only if it completes TARGET (-1,0)-(-1,-1); otherwise follow existing edges toward node (2,0) without creating any new GREY edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 2,
          "(-1,-1)-(0,-1)": 1,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 45,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8945,
        "blue_efficiency": 0.2033,
        "S": 23,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.6,
        "edges_at_risk": 14,
        "mean_thickness": 1.478,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6087,
        "d_min": 0,
        "d_mean": 2.33,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          0,
          -1
        ],
        "facing": "→",
        "response_ms": 2261,
        "was_retry": false,
        "was_random": false,
        "note": "Then route along existing edges toward node (2,0); only take BLUE when it completes a remaining TARGET ((2,0)-(3,0) or (2,0)-(1,1)); avoid GREY that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 2,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 46,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8949,
        "blue_efficiency": 0.2024,
        "S": 23,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.6,
        "edges_at_risk": 14,
        "mean_thickness": 1.522,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6087,
        "d_min": 1,
        "d_mean": 2.17,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          0
        ],
        "facing": "↙",
        "response_ms": 2751,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go ↘ to (-1,-1) to complete TARGET (-1,0)-(-1,-1); otherwise avoid GREY moves that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 47,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8953,
        "blue_efficiency": 0.2056,
        "S": 24,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.59,
        "edges_at_risk": 15,
        "mean_thickness": 1.5,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.625,
        "d_min": 0,
        "d_mean": 2.17,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(-1,0)-(-1,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(-1,0)-(-1,-1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          -1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2727,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE only if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1); otherwise traverse only along existing DONE edges toward node (2,0) and do not create any new GREY edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 48,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8957,
        "blue_efficiency": 0.2048,
        "S": 24,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.58,
        "edges_at_risk": 14,
        "mean_thickness": 1.542,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5833,
        "d_min": 3,
        "d_mean": 3.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 26,
        "position": [
          0,
          0
        ],
        "facing": "↘",
        "response_ms": 2465,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,0) take only moves that follow existing DONE edges toward (2,0); only take a BLUE move when it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 49,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 2,
        "B_grey": 3,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8961,
        "blue_efficiency": 0.204,
        "S": 25,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.58,
        "edges_at_risk": 15,
        "mean_thickness": 1.52,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6,
        "d_min": 2,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 27,
        "position": [
          0,
          1
        ],
        "facing": "↓",
        "response_ms": 2162,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing DONE edges toward (2,0); take a BLUE move only if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 50,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8964,
        "blue_efficiency": 0.2032,
        "S": 26,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.57,
        "edges_at_risk": 16,
        "mean_thickness": 1.5,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6154,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 28,
        "position": [
          -1,
          1
        ],
        "facing": "←",
        "response_ms": 2341,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving along existing DONE edges toward node (2,0); only take a BLUE move if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1); avoid creating any new GREY edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 51,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8968,
        "blue_efficiency": 0.2024,
        "S": 27,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 98.57,
        "edges_at_risk": 17,
        "mean_thickness": 1.481,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6296,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 29,
        "position": [
          -1,
          0
        ],
        "facing": "↑",
        "response_ms": 2668,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing DONE edges; route to (2,0) and take the first BLUE that completes one of the two TARGET edges—do not create any new GREY edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 52,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8972,
        "blue_efficiency": 0.2016,
        "S": 28,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 98.56,
        "edges_at_risk": 18,
        "mean_thickness": 1.464,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6429,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 30,
        "position": [
          0,
          0
        ],
        "facing": "→",
        "response_ms": 2516,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,0), keep routing on existing DONE edges toward (2,0); next BLUE must complete a remaining TARGET, and avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 53,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8975,
        "blue_efficiency": 0.2008,
        "S": 29,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 98.55,
        "edges_at_risk": 19,
        "mean_thickness": 1.448,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6552,
        "d_min": 2,
        "d_mean": 2.25,
        "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": 31,
        "position": [
          -1,
          1
        ],
        "facing": "↙",
        "response_ms": 2372,
        "was_retry": false,
        "was_random": false,
        "note": "Now at (-1,1); continue only along existing DONE edges toward (2,0), and take a BLUE move only if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 1,
          "(-1,0)-(0,0)": 1,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 54,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8979,
        "blue_efficiency": 0.2,
        "S": 29,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 98.55,
        "edges_at_risk": 18,
        "mean_thickness": 1.483,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.6207,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 31,
        "position": [
          -1,
          0
        ],
        "facing": "↑",
        "response_ms": 2147,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing DONE edges only; continue routing toward (2,0) so the next BLUE taken completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1) (no new GREY edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 1,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 55,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8982,
        "blue_efficiency": 0.1992,
        "S": 28,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 98.54,
        "edges_at_risk": 16,
        "mean_thickness": 1.536,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5714,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(0,0)-(1,0)"
        ],
        "new_targets_created": [],
        "total_edges": 31,
        "position": [
          0,
          0
        ],
        "facing": "→",
        "response_ms": 1962,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing DONE edges toward (2,0); avoid GREY moves that create new edges, and only take BLUE if it completes TARGET (2,0)-(3,0) or TARGET (2,0)-(1,1).",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 1,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 56,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8986,
        "blue_efficiency": 0.1984,
        "S": 28,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.54,
        "edges_at_risk": 15,
        "mean_thickness": 1.571,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5357,
        "d_min": 0,
        "d_mean": 1.67,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 31,
        "position": [
          0,
          1
        ],
        "facing": "↓",
        "response_ms": 3189,
        "was_retry": false,
        "was_random": false,
        "note": "Next step go toward (2,0) via existing DONE edges; take BLUE only if it completes a listed TARGET edge (no GREY that creates new edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 57,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.8955,
        "blue_efficiency": 0.1984,
        "S": 28,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.53,
        "edges_at_risk": 15,
        "mean_thickness": 1.571,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5357,
        "d_min": 1,
        "d_mean": 1.67,
        "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)-(1,0)"
        ],
        "total_edges": 32,
        "position": [
          1,
          0
        ],
        "facing": "↗",
        "response_ms": 2053,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE that completes TARGET (0,0)-(1,0) (route via existing DONE edges only; no GREY onto new edges).",
        "thickness_map": {
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 58,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8958,
        "blue_efficiency": 0.2016,
        "S": 29,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.52,
        "edges_at_risk": 16,
        "mean_thickness": 1.552,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5517,
        "d_min": 0,
        "d_mean": 0.88,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          0,
          0
        ],
        "facing": "←",
        "response_ms": 2056,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE that completes TARGET (0,1)-(1,0) or TARGET (2,0)-(1,1); avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 1,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 59,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8962,
        "blue_efficiency": 0.2008,
        "S": 29,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.52,
        "edges_at_risk": 15,
        "mean_thickness": 1.586,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5172,
        "d_min": 1,
        "d_mean": 1.83,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          1,
          1
        ],
        "facing": "↘",
        "response_ms": 2099,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must complete a remaining TARGET edge (prefer around (2,0)) using only existing edges; avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 60,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8966,
        "blue_efficiency": 0.2038,
        "S": 30,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.51,
        "edges_at_risk": 16,
        "mean_thickness": 1.567,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5333,
        "d_min": 0,
        "d_mean": 1.33,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [
          "(2,0)-(1,1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          2,
          0
        ],
        "facing": "↗",
        "response_ms": 1930,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to complete TARGET (2,0)-(3,0) immediately (avoid GREY that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 2,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 61,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8969,
        "blue_efficiency": 0.2031,
        "S": 30,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.51,
        "edges_at_risk": 16,
        "mean_thickness": 1.6,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5333,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 2162,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (1,-1) to (1,0) to then BLUE-complete the remaining TARGET (0,1)-(1,0) without using any GREY that creates new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 1,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 62,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 2,
        "B_grey": 3,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8973,
        "blue_efficiency": 0.2023,
        "S": 30,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.5,
        "edges_at_risk": 15,
        "mean_thickness": 1.633,
        "max_thickness": 4,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2156,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE (no GREY) from (1,0) to (0,1) to complete TARGET (0,1)-(1,0) and bring W to 0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 4,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 2,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 63,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8976,
        "blue_efficiency": 0.2015,
        "S": 30,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.49,
        "edges_at_risk": 15,
        "mean_thickness": 1.667,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 1959,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (2,0) to (3,0) to complete TARGET (2,0)-(3,0) and bring W to 0.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 2,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 2,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 64,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.898,
        "blue_efficiency": 0.2008,
        "S": 30,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.49,
        "edges_at_risk": 15,
        "mean_thickness": 1.7,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          2,
          -1
        ],
        "facing": "↑",
        "response_ms": 1995,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (2,-1) to (1,0) (diagonal up-left) to complete TARGET (0,1)-(1,0) without creating any new GREY edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 2,
          "(1,-1)-(2,-1)": 1,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 65,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8983,
        "blue_efficiency": 0.2,
        "S": 30,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.48,
        "edges_at_risk": 14,
        "mean_thickness": 1.733,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.4667,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          1,
          -1
        ],
        "facing": "←",
        "response_ms": 1951,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (1,-1) to (0,1) via (1,0) without taking any GREY onto new edges (finish remaining TARGET fast).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 2,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 66,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8986,
        "blue_efficiency": 0.1992,
        "S": 30,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.48,
        "edges_at_risk": 14,
        "mean_thickness": 1.767,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.4667,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 32,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2610,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE to (1,0), then immediately take BLUE onto remaining TARGET edge (0,1)-(1,0) without any GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 3,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 67,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.899,
        "blue_efficiency": 0.1985,
        "S": 31,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.47,
        "edges_at_risk": 15,
        "mean_thickness": 1.742,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.4839,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 33,
        "position": [
          2,
          1
        ],
        "facing": "↘",
        "response_ms": 2247,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (2,1) to (2,0) (↗) to complete TARGET (2,0)-(3,0) with no GREY moves onto new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 3,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 68,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8993,
        "blue_efficiency": 0.1978,
        "S": 32,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98.46,
        "edges_at_risk": 16,
        "mean_thickness": 1.719,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 1,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 34,
        "position": [
          2,
          0
        ],
        "facing": "↑",
        "response_ms": 3045,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), take ↗ [BLUE] to (3,0) to complete TARGET (2,0)-(3,0); then route via existing edges only (no GREY onto new edges) to finish TARGET (0,1)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 3,
          "(1,-1)-(1,0)": 3,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 69,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8997,
        "blue_efficiency": 0.197,
        "S": 32,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 98.46,
        "edges_at_risk": 16,
        "mean_thickness": 1.75,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 34,
        "position": [
          1,
          -1
        ],
        "facing": "↖",
        "response_ms": 2090,
        "was_retry": false,
        "was_random": false,
        "note": "Continue via existing edges only; next objective is to reach (1,0) and complete TARGET (0,1)-(1,0) with a BLUE move, avoiding any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 3,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 70,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.1963,
        "S": 32,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.45,
        "edges_at_risk": 16,
        "mean_thickness": 1.781,
        "max_thickness": 5,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 34,
        "position": [
          1,
          0
        ],
        "facing": "↓",
        "response_ms": 2152,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only (no GREY that creates new targets); aim to reach (1,0) then take a BLUE move to complete TARGET (0,1)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 5,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 71,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 2,
        "B_grey": 3,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9003,
        "blue_efficiency": 0.1956,
        "S": 32,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.45,
        "edges_at_risk": 16,
        "mean_thickness": 1.812,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 34,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2261,
        "was_retry": false,
        "was_random": false,
        "note": "Next turn, complete TARGET (2,0)-(3,0) with a [BLUE] move, then continue only along existing edges (no GREY onto new edges) to reach (1,0) for the final target.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 3,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 72,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9007,
        "blue_efficiency": 0.1949,
        "S": 32,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.44,
        "edges_at_risk": 16,
        "mean_thickness": 1.844,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 34,
        "position": [
          2,
          -1
        ],
        "facing": "↑",
        "response_ms": 2669,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-1), go BLUE ↗ to (3,0) to complete TARGET (2,0)-(3,0); avoid any GREY move onto a new edge (only traverse existing edges afterward toward (1,0)).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 73,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.901,
        "blue_efficiency": 0.1941,
        "S": 33,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.44,
        "edges_at_risk": 17,
        "mean_thickness": 1.818,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5152,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 35,
        "position": [
          1,
          -2
        ],
        "facing": "↖",
        "response_ms": 2772,
        "was_retry": false,
        "was_random": false,
        "note": "After this move, stay strictly on existing edges (no GREY that creates new targets) and route toward (1,0) to set up the BLUE completion of TARGET (0,1)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 74,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9013,
        "blue_efficiency": 0.1934,
        "S": 34,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.43,
        "edges_at_risk": 18,
        "mean_thickness": 1.794,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5294,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 36,
        "position": [
          0,
          -2
        ],
        "facing": "←",
        "response_ms": 2182,
        "was_retry": false,
        "was_random": false,
        "note": "Next, keep moving only along existing DONE edges (prefer BLUE on remaining TARGET when available); do not take any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 1,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 75,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9016,
        "blue_efficiency": 0.1927,
        "S": 34,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.42,
        "edges_at_risk": 17,
        "mean_thickness": 1.824,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 3,
        "d_mean": 3.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 36,
        "position": [
          0,
          -1
        ],
        "facing": "↓",
        "response_ms": 2027,
        "was_retry": false,
        "was_random": false,
        "note": "Continue staying on existing edges only; head toward (1,0) to set up completing TARGET (0,1)-(1,0) next.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 2,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 76,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.902,
        "blue_efficiency": 0.192,
        "S": 34,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.42,
        "edges_at_risk": 17,
        "mean_thickness": 1.853,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 2,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 36,
        "position": [
          1,
          0
        ],
        "facing": "↘",
        "response_ms": 2262,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must complete TARGET (0,1)-(1,0) via a BLUE crossing from (1,0) to (0,1); avoid any GREY that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 4,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 77,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9023,
        "blue_efficiency": 0.1913,
        "S": 34,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 98.41,
        "edges_at_risk": 17,
        "mean_thickness": 1.882,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 36,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2191,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,-1), go BLUE ↖ to (0,1) to complete TARGET (0,1)-(1,0); avoid any GREY move that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 78,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 3,
        "B_grey": 3,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9026,
        "blue_efficiency": 0.1906,
        "S": 35,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 98.41,
        "edges_at_risk": 18,
        "mean_thickness": 1.857,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5143,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 37,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2362,
        "was_retry": false,
        "was_random": false,
        "note": "Next, prioritize completing TARGET (2,0)-(3,0) with a BLUE move while staying on existing edges only (no GREY that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 79,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9029,
        "blue_efficiency": 0.19,
        "S": 35,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 98.4,
        "edges_at_risk": 17,
        "mean_thickness": 1.886,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4857,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 37,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2774,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,0), take BLUE → to (2,0) (stay on existing edge); next step aim to complete TARGET (2,0)-(3,0) with BLUE → without using GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 2,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 80,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9032,
        "blue_efficiency": 0.1893,
        "S": 35,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 98.39,
        "edges_at_risk": 17,
        "mean_thickness": 1.914,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4857,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 37,
        "position": [
          2,
          -1
        ],
        "facing": "↗",
        "response_ms": 1952,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → from (2,-1) to (3,0) to complete TARGET (2,0)-(3,0) without any GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 1,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 81,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9035,
        "blue_efficiency": 0.1886,
        "S": 35,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 98.39,
        "edges_at_risk": 17,
        "mean_thickness": 1.914,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4857,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 37,
        "position": [
          1,
          -2
        ],
        "facing": "↖",
        "response_ms": 2056,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go to (1,0) via existing completed edges (no GREY onto new terrain), then take the BLUE edge that completes TARGET (0,1)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 82,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9038,
        "blue_efficiency": 0.1879,
        "S": 36,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.38,
        "edges_at_risk": 18,
        "mean_thickness": 1.889,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 38,
        "position": [
          1,
          -1
        ],
        "facing": "↓",
        "response_ms": 2468,
        "was_retry": false,
        "was_random": false,
        "note": "From (1,-1) go BLUE ↗ to (1,0) (stay on existing edges); then take the BLUE move that completes TARGET (0,1)-(1,0) without any GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 83,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9042,
        "blue_efficiency": 0.1873,
        "S": 37,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.38,
        "edges_at_risk": 19,
        "mean_thickness": 1.865,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5135,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 39,
        "position": [
          2,
          -2
        ],
        "facing": "↗",
        "response_ms": 2058,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (2,-2) to (1,0) to complete TARGET (0,1)-(1,0) (no GREY onto new terrain).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 84,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9045,
        "blue_efficiency": 0.1866,
        "S": 38,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.37,
        "edges_at_risk": 20,
        "mean_thickness": 1.842,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5263,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 40,
        "position": [
          1,
          -2
        ],
        "facing": "←",
        "response_ms": 1939,
        "was_retry": false,
        "was_random": false,
        "note": "Continue toward (1,0) strictly via existing DONE edges; avoid any GREY move that would create new edges, and set up to BLUE-complete TARGET (0,1)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 85,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9048,
        "blue_efficiency": 0.186,
        "S": 39,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.36,
        "edges_at_risk": 21,
        "mean_thickness": 1.821,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5385,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 41,
        "position": [
          0,
          -1
        ],
        "facing": "↙",
        "response_ms": 2360,
        "was_retry": false,
        "was_random": false,
        "note": "Next, go BLUE to [1,0] (via [0,-1]→[1,0]) to set up and then BLUE-complete TARGET (0,1)-(1,0) without any GREY onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 86,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9051,
        "blue_efficiency": 0.1853,
        "S": 40,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.36,
        "edges_at_risk": 22,
        "mean_thickness": 1.8,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.55,
        "d_min": 2,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 42,
        "position": [
          1,
          -1
        ],
        "facing": "→",
        "response_ms": 2189,
        "was_retry": false,
        "was_random": false,
        "note": "From [1,-1], BLUE to [1,0] next, then immediately BLUE [1,0]→[0,1] to complete TARGET (0,1)-(1,0); avoid GREY that creates any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 87,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9054,
        "blue_efficiency": 0.1847,
        "S": 41,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.35,
        "edges_at_risk": 23,
        "mean_thickness": 1.78,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.561,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          -2
        ],
        "facing": "↖",
        "response_ms": 2876,
        "was_retry": false,
        "was_random": false,
        "note": "Go next to [0,1] via existing DONE edge [0,-2]→[0,-1] (no new edges), then BLUE [0,1]→[1,0] to finish TARGET (0,1)-(1,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 2,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 88,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9057,
        "blue_efficiency": 0.184,
        "S": 41,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.35,
        "edges_at_risk": 23,
        "mean_thickness": 1.805,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.561,
        "d_min": 3,
        "d_mean": 3.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          -1
        ],
        "facing": "↓",
        "response_ms": 2981,
        "was_retry": false,
        "was_random": false,
        "note": "Next go BLUE to [0,1] (via [0,-1]→[0,0]→[0,1] on existing DONE), then BLUE [0,1]→[1,0] to complete TARGET (0,1)-(1,0); avoid GREY onto any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 1,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 89,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.906,
        "blue_efficiency": 0.1834,
        "S": 41,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.34,
        "edges_at_risk": 22,
        "mean_thickness": 1.829,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5366,
        "d_min": 2,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          -1
        ],
        "facing": "→",
        "response_ms": 2465,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must continue toward (0,1)-(1,0) completion without taking any GREY move that creates a new edge (stay on existing edges only).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 90,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9031,
        "blue_efficiency": 0.1834,
        "S": 40,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.33,
        "edges_at_risk": 21,
        "mean_thickness": 1.85,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.525,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(1,-1)-(0,0)"
        ],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2563,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must keep heading to node (0,1) so we can BLUE (0,1)→(1,0) to clear TARGET (0,1)-(1,0), and must not create any new edges with GREY.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 1,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 91,
        "level": 10,
        "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": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9034,
        "blue_efficiency": 0.1828,
        "S": 40,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.33,
        "edges_at_risk": 20,
        "mean_thickness": 1.875,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.33,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          -1
        ],
        "facing": "↑",
        "response_ms": 2148,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing DONE edges only; proceed to (0,1) then take BLUE (0,1)→(1,0) to complete TARGET (0,1)-(1,0) (no GREY that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 92,
        "level": 10,
        "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": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.9037,
        "blue_efficiency": 0.1821,
        "S": 40,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.32,
        "edges_at_risk": 20,
        "mean_thickness": 1.9,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 1.83,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          0
        ],
        "facing": "↘",
        "response_ms": 2099,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing DONE edges only; get to (0,1) next, then take BLUE (0,1)→(1,0) to clear TARGET (0,1)-(1,0); avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 93,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.904,
        "blue_efficiency": 0.1849,
        "S": 41,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.32,
        "edges_at_risk": 21,
        "mean_thickness": 1.878,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.5122,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(0,1)-(1,0)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [
          "(0,1)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          1
        ],
        "facing": "↙",
        "response_ms": 1852,
        "was_retry": false,
        "was_random": false,
        "note": "From (0,1) take BLUE to (1,0) next to complete TARGET (0,1)-(1,0); avoid any GREY that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 94,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9043,
        "blue_efficiency": 0.1843,
        "S": 41,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98.31,
        "edges_at_risk": 20,
        "mean_thickness": 1.902,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4878,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          -1,
          1
        ],
        "facing": "←",
        "response_ms": 2269,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (0,0), take BLUE (0,0)→(1,-1) to clear the remaining TARGET; avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 95,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9046,
        "blue_efficiency": 0.1837,
        "S": 41,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 98.3,
        "edges_at_risk": 19,
        "mean_thickness": 1.927,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          0
        ],
        "facing": "↗",
        "response_ms": 2066,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE (0,0)→(1,-1) to complete the remaining TARGET; avoid any GREY that would create a new edge (keep W dropping to 0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 96,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9018,
        "blue_efficiency": 0.1837,
        "S": 41,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.3,
        "edges_at_risk": 19,
        "mean_thickness": 1.927,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2263,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (1,-1) to (2,0) to position for finishing the last TARGET (2,0)-(3,0); avoid GREY onto new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 4,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 97,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9021,
        "blue_efficiency": 0.1831,
        "S": 41,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.29,
        "edges_at_risk": 19,
        "mean_thickness": 1.951,
        "max_thickness": 6,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 2776,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0), take BLUE → to (3,0) to complete TARGET (2,0)-(3,0) and finish; avoid any GREY that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 6,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 98,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9024,
        "blue_efficiency": 0.1824,
        "S": 41,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.29,
        "edges_at_risk": 19,
        "mean_thickness": 1.976,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2178,
        "was_retry": false,
        "was_random": false,
        "note": "Go BLUE to (1,-1) next to complete the remaining TARGET (1,-1)-(0,0); avoid any GREY move onto a non-existing edge (don’t create new targets).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 5,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 99,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9027,
        "blue_efficiency": 0.1818,
        "S": 41,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.28,
        "edges_at_risk": 19,
        "mean_thickness": 2,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2570,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (1,-1) to (0,0) to complete TARGET (1,-1)-(0,0) and reach W=0 (no GREY).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 6,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 100,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.1818,
        "S": 41,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.27,
        "edges_at_risk": 19,
        "mean_thickness": 2,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2367,
        "was_retry": false,
        "was_random": false,
        "note": "After reaching (0,0), take BLUE moves only to finish the last TARGET (2,0)-(3,0); avoid GREY entirely to prevent creating new targets or damaging thickness.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 6,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 2,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 101,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9003,
        "blue_efficiency": 0.1812,
        "S": 41,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.27,
        "edges_at_risk": 19,
        "mean_thickness": 2.024,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.4634,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          1
        ],
        "facing": "↓",
        "response_ms": 1839,
        "was_retry": false,
        "was_random": false,
        "note": "Continue BLUE-only path toward TARGET (2,0)-(3,0); do not use any GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 6,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 1,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 102,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9006,
        "blue_efficiency": 0.1806,
        "S": 41,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.26,
        "edges_at_risk": 18,
        "mean_thickness": 2.049,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.439,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          0
        ],
        "facing": "↗",
        "response_ms": 2926,
        "was_retry": false,
        "was_random": false,
        "note": "Stay BLUE-only; next head toward (2,0) then complete TARGET (2,0)-(3,0) without any GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 6,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 103,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.9009,
        "blue_efficiency": 0.18,
        "S": 41,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 98.26,
        "edges_at_risk": 18,
        "mean_thickness": 2.073,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.439,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2159,
        "was_retry": false,
        "was_random": false,
        "note": "Stay BLUE-only; from (1,-1) take BLUE toward (2,0) next, then BLUE across TARGET (2,0)-(3,0).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 7,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 104,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9012,
        "blue_efficiency": 0.1827,
        "S": 42,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 98.25,
        "edges_at_risk": 19,
        "mean_thickness": 2.048,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.4524,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(1,-1)-(0,0)",
        "target_switch": true,
        "B_at_switch": 6,
        "newly_colored": [
          "(1,-1)-(0,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2176,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE from (0,0) to (1,-1) to complete TARGET (1,-1)-(0,0); avoid all GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 7,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 105,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9015,
        "blue_efficiency": 0.1821,
        "S": 42,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 98.24,
        "edges_at_risk": 18,
        "mean_thickness": 2.071,
        "max_thickness": 7,
        "min_thickness": 1,
        "erosion_pressure": 0.4286,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2054,
        "was_retry": false,
        "was_random": false,
        "note": "Next take BLUE ↓ to reach (2,0), then BLUE → across TARGET (2,0)-(3,0); no GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 7,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 106,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9018,
        "blue_efficiency": 0.1815,
        "S": 42,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 98.24,
        "edges_at_risk": 18,
        "mean_thickness": 2.095,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4286,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 1855,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE → from (2,0) to (3,0) to complete the final TARGET; avoid all GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 2,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 1,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 107,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 1,
        "B_blue": 0,
        "B_grey": 1,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9021,
        "blue_efficiency": 0.1809,
        "S": 42,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 98.23,
        "edges_at_risk": 18,
        "mean_thickness": 2.095,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4286,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          0,
          0
        ],
        "facing": "↙",
        "response_ms": 2285,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE ↘ to (1,1) to set up final BLUE → across TARGET (2,0)-(3,0) without using any GREY moves.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 108,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8994,
        "blue_efficiency": 0.1809,
        "S": 42,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.23,
        "edges_at_risk": 19,
        "mean_thickness": 2.071,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4524,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 43,
        "position": [
          -1,
          1
        ],
        "facing": "↙",
        "response_ms": 2550,
        "was_retry": false,
        "was_random": false,
        "note": "After this forced GREY, take only BLUE moves to reach (2,0) and complete TARGET (2,0)-(3,0) ASAP; avoid creating any new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 109,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8997,
        "blue_efficiency": 0.1803,
        "S": 43,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.22,
        "edges_at_risk": 20,
        "mean_thickness": 2.047,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4651,
        "d_min": 3,
        "d_mean": 3.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 44,
        "position": [
          -1,
          2
        ],
        "facing": "↓",
        "response_ms": 1866,
        "was_retry": false,
        "was_random": false,
        "note": "Next 2 moves must be BLUE (no GREY) to route toward (2,0) and then finish the remaining TARGET edge (2,0)-(3,0) ASAP without creating any new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 110,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9,
        "blue_efficiency": 0.1797,
        "S": 44,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.22,
        "edges_at_risk": 21,
        "mean_thickness": 2.023,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 4,
        "d_mean": 4.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 45,
        "position": [
          0,
          1
        ],
        "facing": "↗",
        "response_ms": 2162,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE again (no GREY); route toward (2,0) to complete TARGET (2,0)-(3,0) ASAP without creating any new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 3,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 111,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9003,
        "blue_efficiency": 0.1792,
        "S": 44,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.21,
        "edges_at_risk": 21,
        "mean_thickness": 2.045,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 45,
        "position": [
          0,
          0
        ],
        "facing": "↑",
        "response_ms": 2611,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE again (no GREY); then take the fastest all-BLUE route to the remaining TARGET edge (2,0)-(3,0) without creating any new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 2,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 112,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9006,
        "blue_efficiency": 0.1786,
        "S": 44,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.2,
        "edges_at_risk": 21,
        "mean_thickness": 2.068,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 45,
        "position": [
          -1,
          0
        ],
        "facing": "←",
        "response_ms": 2141,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE again; continue all-BLUE path toward node (2,0) to finish TARGET (2,0)-(3,0) ASAP, avoiding any GREY moves/new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 113,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.9009,
        "blue_efficiency": 0.178,
        "S": 45,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.2,
        "edges_at_risk": 22,
        "mean_thickness": 2.044,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4889,
        "d_min": 3,
        "d_mean": 3.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          0,
          1
        ],
        "facing": "↘",
        "response_ms": 2673,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving only on existing DONE edges toward node (2,0); no GREY moves and do not step onto any unseen edge—finish TARGET (2,0)-(3,0) as soon as reachable.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 2,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 114,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8983,
        "blue_efficiency": 0.178,
        "S": 45,
        "arrow": "←",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.19,
        "edges_at_risk": 23,
        "mean_thickness": 2.022,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.5111,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          -1,
          1
        ],
        "facing": "←",
        "response_ms": 2874,
        "was_retry": false,
        "was_random": false,
        "note": "Use GREY only on already-existing DONE edges (to avoid creating new targets) and route toward node (2,0) to finish TARGET (2,0)-(3,0) ASAP.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 1,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 115,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8986,
        "blue_efficiency": 0.1774,
        "S": 45,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.19,
        "edges_at_risk": 22,
        "mean_thickness": 2.044,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4889,
        "d_min": 3,
        "d_mean": 3.5,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          0,
          0
        ],
        "facing": "↗",
        "response_ms": 2006,
        "was_retry": false,
        "was_random": false,
        "note": "Continue on existing DONE edges only (no new-edge GREY); head toward node (2,0) to complete TARGET (2,0)-(3,0) ASAP.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 2,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 116,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8988,
        "blue_efficiency": 0.1768,
        "S": 45,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.18,
        "edges_at_risk": 22,
        "mean_thickness": 2.067,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4889,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          1,
          1
        ],
        "facing": "↘",
        "response_ms": 2774,
        "was_retry": false,
        "was_random": false,
        "note": "Next step must stay on existing DONE edges only (no GREY onto unseen/new edges); route to node (2,0) to finish TARGET (2,0)-(3,0) ASAP.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 117,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8963,
        "blue_efficiency": 0.1768,
        "S": 44,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.17,
        "edges_at_risk": 21,
        "mean_thickness": 2.091,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 2,
        "d_mean": 2.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [
          "(2,0)-(1,1)"
        ],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          2,
          0
        ],
        "facing": "↗",
        "response_ms": 2423,
        "was_retry": false,
        "was_random": false,
        "note": "Next move: from (2,0) take BLUE across TARGET edge (2,0)-(3,0) to finish W=0 (avoid GREY onto any new/unseen edge).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 7,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 118,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8966,
        "blue_efficiency": 0.1763,
        "S": 44,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.17,
        "edges_at_risk": 21,
        "mean_thickness": 2.114,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 1935,
        "was_retry": false,
        "was_random": false,
        "note": "Reach back to (2,0) next and take BLUE across TARGET (2,0)-(3,0); avoid GREY onto any new/unseen edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 4,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 119,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.894,
        "blue_efficiency": 0.1763,
        "S": 44,
        "arrow": "↖",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.16,
        "edges_at_risk": 21,
        "mean_thickness": 2.091,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          0,
          -1
        ],
        "facing": "↖",
        "response_ms": 2468,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ↘ [BLUE] from (0,-1) to (1,0) to stay on existing edges and head back toward (2,0) to finish remaining TARGETs (no GREY onto any new/unseen edge).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 2,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 120,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8943,
        "blue_efficiency": 0.1757,
        "S": 44,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98.16,
        "edges_at_risk": 21,
        "mean_thickness": 2.114,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 2,
        "d_mean": 2.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          1,
          -1
        ],
        "facing": "→",
        "response_ms": 2054,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only (no GREY onto any new/unseen edge); head toward (2,0) to take BLUE across remaining TARGET(s) ASAP.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 5,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 121,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8946,
        "blue_efficiency": 0.1752,
        "S": 44,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 98.15,
        "edges_at_risk": 21,
        "mean_thickness": 2.136,
        "max_thickness": 8,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 2153,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,0) next, take BLUE across TARGET (2,0)-(3,0) and then BLUE across TARGET (2,0)-(1,1); avoid GREY onto any new/unseen edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 6,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 122,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8949,
        "blue_efficiency": 0.1746,
        "S": 44,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 98.14,
        "edges_at_risk": 21,
        "mean_thickness": 2.159,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          1,
          0
        ],
        "facing": "←",
        "response_ms": 2387,
        "was_retry": false,
        "was_random": false,
        "note": "Next take ↙ [BLUE] from (1,0) to (1,1) to set up ↘ [BLUE] across TARGET (2,0)-(1,1); avoid GREY onto any new/unseen edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 6,
          "(1,-1)-(1,0)": 8,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 123,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8952,
        "blue_efficiency": 0.1741,
        "S": 44,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 98.14,
        "edges_at_risk": 21,
        "mean_thickness": 2.182,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 1,
        "d_mean": 1.25,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          1,
          -1
        ],
        "facing": "↑",
        "response_ms": 2128,
        "was_retry": false,
        "was_random": false,
        "note": "Go to (1,-1) via existing edge, then route back to (2,0) to take BLUE across remaining TARGET(s); avoid GREY onto any new/unseen edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 6,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 124,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8955,
        "blue_efficiency": 0.1735,
        "S": 44,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 98.13,
        "edges_at_risk": 21,
        "mean_thickness": 2.205,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 2272,
        "was_retry": false,
        "was_random": false,
        "note": "Next, use BLUE to complete TARGET (2,0)-(3,0); avoid GREY on any edge not already on the map.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 125,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.893,
        "blue_efficiency": 0.1735,
        "S": 44,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 8,
        "oxygen_pct": 98.13,
        "edges_at_risk": 21,
        "mean_thickness": 2.205,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2057,
        "was_retry": false,
        "was_random": false,
        "note": "After this grey reposition, immediately take BLUE to complete remaining TARGET(s); do not GREY onto any edge not already on the map.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(3,0)-(2,-1)": 2,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 126,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8933,
        "blue_efficiency": 0.173,
        "S": 44,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 98.12,
        "edges_at_risk": 21,
        "mean_thickness": 2.227,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          2,
          -1
        ],
        "facing": "↖",
        "response_ms": 2674,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be BLUE across TARGET (2,0)-(1,1) (from (2,-1) go ↑ to (2,0), then ↙ BLUE); avoid all GREY unless it stays on already-mapped edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 4,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 127,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8936,
        "blue_efficiency": 0.1724,
        "S": 44,
        "arrow": "↓",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 6,
        "oxygen_pct": 98.11,
        "edges_at_risk": 21,
        "mean_thickness": 2.25,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4773,
        "d_min": 1,
        "d_mean": 1.75,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          2,
          0
        ],
        "facing": "↓",
        "response_ms": 1955,
        "was_retry": false,
        "was_random": false,
        "note": "Next take ↙ BLUE from (2,0) to complete TARGET (2,0)-(1,1); avoid any GREY that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 128,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 6,
        "B_blue": 2,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8939,
        "blue_efficiency": 0.175,
        "S": 45,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 5,
        "oxygen_pct": 98.11,
        "edges_at_risk": 22,
        "mean_thickness": 2.222,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4889,
        "d_min": 0,
        "d_mean": 0.75,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,0)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(3,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 46,
        "position": [
          3,
          0
        ],
        "facing": "→",
        "response_ms": 2055,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ↙ [BLUE] to complete TARGET (2,0)-(1,1); avoid any GREY that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 129,
        "level": 10,
        "cycle": 1,
        "W": 1,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 4,
        "B_blue": 0,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8942,
        "blue_efficiency": 0.1745,
        "S": 46,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 4,
        "oxygen_pct": 98.1,
        "edges_at_risk": 23,
        "mean_thickness": 2.196,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 1.5,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 4,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 47,
        "position": [
          3,
          -1
        ],
        "facing": "↑",
        "response_ms": 2465,
        "was_retry": false,
        "was_random": false,
        "note": "Go to (2,0) then take ↙ [BLUE] to complete TARGET (2,0)-(1,1); avoid any [GREY] that would create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 130,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 1,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8917,
        "blue_efficiency": 0.1745,
        "S": 46,
        "arrow": "↑",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 3,
        "oxygen_pct": 98.1,
        "edges_at_risk": 23,
        "mean_thickness": 2.196,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,-1)-(3,-2)"
        ],
        "total_edges": 48,
        "position": [
          3,
          -2
        ],
        "facing": "↑",
        "response_ms": 2490,
        "was_retry": false,
        "was_random": false,
        "note": "Move next from (3,-2) to (2,0) via existing DONE edges (no new GREY edge creation), then take ↙ [BLUE] to complete TARGET (2,0)-(1,1).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 131,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.892,
        "blue_efficiency": 0.1739,
        "S": 47,
        "arrow": "←",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 2,
        "oxygen_pct": 98.09,
        "edges_at_risk": 24,
        "mean_thickness": 2.17,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5106,
        "d_min": 0,
        "d_mean": 1.75,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(3,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 49,
        "position": [
          2,
          -2
        ],
        "facing": "←",
        "response_ms": 12206,
        "was_retry": false,
        "was_random": false,
        "note": "From (2,-2) go ↗ [BLUE] to (3,-1) to complete TARGET (3,-1)-(3,-2) next; avoid GREY moves that create new edges.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 1,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-2)-(2,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 132,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.1,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8923,
        "blue_efficiency": 0.1734,
        "S": 47,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 1,
        "oxygen_pct": 98.08,
        "edges_at_risk": 23,
        "mean_thickness": 2.191,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4894,
        "d_min": 1,
        "d_mean": 2.25,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(3,-2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 49,
        "position": [
          3,
          -1
        ],
        "facing": "↘",
        "response_ms": 1751,
        "was_retry": false,
        "was_random": false,
        "note": "Next go ↓ [BLUE] to (3,-2) to finish TARGET (3,-1)-(3,-2); avoid any [GREY] that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-2)-(2,-2)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 133,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 1,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8926,
        "blue_efficiency": 0.1728,
        "S": 47,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 26,
        "oxygen_pct": 98.08,
        "edges_at_risk": 23,
        "mean_thickness": 2.191,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4894,
        "d_min": 0,
        "d_mean": 1.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(3,-1)-(3,-2)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(3,-1)-(3,-2)"
        ],
        "reverted_to_white": [
          "(0,0)-(1,0)"
        ],
        "new_targets_created": [],
        "total_edges": 49,
        "position": [
          3,
          -2
        ],
        "facing": "↑",
        "response_ms": 1930,
        "was_retry": false,
        "was_random": false,
        "note": "Next, route to (2,0) using only existing DONE edges (prefer GREY over DONE edges only), then take the [BLUE] move that completes TARGET (2,0)-(1,1); avoid creating any new GREY edges.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 1,
          "(3,-2)-(2,-2)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 134,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 1,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8929,
        "blue_efficiency": 0.1723,
        "S": 48,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 25,
        "oxygen_pct": 98.07,
        "edges_at_risk": 24,
        "mean_thickness": 2.167,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 5,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 50,
        "position": [
          2,
          -1
        ],
        "facing": "↙",
        "response_ms": 2160,
        "was_retry": false,
        "was_random": false,
        "note": "Next go ← [BLUE] to (1,0) to complete TARGET (0,0)-(1,0); avoid any [GREY] that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 2,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 1,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 135,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 5,
        "B_blue": 2,
        "B_grey": 3,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8932,
        "blue_efficiency": 0.1718,
        "S": 48,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 24,
        "oxygen_pct": 98.07,
        "edges_at_risk": 24,
        "mean_thickness": 2.188,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 50,
        "position": [
          3,
          -1
        ],
        "facing": "→",
        "response_ms": 2361,
        "was_retry": false,
        "was_random": false,
        "note": "Next aim to reach (2,0) via existing edges, then take the [BLUE] move that completes TARGET (2,0)-(1,1); do not use any [GREY] move that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 1,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 136,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 3,
        "B_blue": 0,
        "B_grey": 3,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8934,
        "blue_efficiency": 0.1713,
        "S": 48,
        "arrow": "↑",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 23,
        "oxygen_pct": 98.06,
        "edges_at_risk": 23,
        "mean_thickness": 2.208,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4792,
        "d_min": 1,
        "d_mean": 2.25,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 50,
        "position": [
          3,
          -2
        ],
        "facing": "↑",
        "response_ms": 2153,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be [BLUE] that reduces W (complete a remaining TARGET); avoid any [GREY] that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 137,
        "level": 10,
        "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": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.891,
        "blue_efficiency": 0.1713,
        "S": 48,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 22,
        "oxygen_pct": 98.05,
        "edges_at_risk": 23,
        "mean_thickness": 2.208,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4792,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [
          "(3,-2)-(4,-2)"
        ],
        "total_edges": 51,
        "position": [
          4,
          -2
        ],
        "facing": "→",
        "response_ms": 2546,
        "was_retry": false,
        "was_random": false,
        "note": "Use only moves along existing edges until positioned to take the next [BLUE] that completes a TARGET (either (0,0)-(1,0) or (2,0)-(1,1)); no [GREY] that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 138,
        "level": 10,
        "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": 0.1,
        "epsilon_active": 0.2,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.8913,
        "blue_efficiency": 0.1707,
        "S": 49,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 21,
        "oxygen_pct": 98.05,
        "edges_at_risk": 24,
        "mean_thickness": 2.184,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4898,
        "d_min": 0,
        "d_mean": 2.83,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(3,-2)-(4,-2)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          3,
          -1
        ],
        "facing": "↙",
        "response_ms": 2465,
        "was_retry": false,
        "was_random": false,
        "note": "From [3,-1], route along existing DONE edges toward (2,0) so the next [BLUE] can complete TARGET (2,0)-(1,1); avoid any [GREY] that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 139,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 1,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 1,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.2,
        "epsilon_total": 0.4,
        "rho_minus_epsilon": -0.4,
        "blue_ratio_cum": 0.8889,
        "blue_efficiency": 0.1707,
        "S": 48,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 20,
        "oxygen_pct": 98.04,
        "edges_at_risk": 23,
        "mean_thickness": 2.208,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4792,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(1,1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [
          "(2,0)-(3,-1)"
        ],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          2,
          0
        ],
        "facing": "↙",
        "response_ms": 2464,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges toward (2,0) then take the next [BLUE] to complete TARGET (2,0)-(1,1); avoid any [GREY] that would create a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 140,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.8865,
        "blue_efficiency": 0.1707,
        "S": 48,
        "arrow": "↙",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 19,
        "oxygen_pct": 98.04,
        "edges_at_risk": 23,
        "mean_thickness": 2.208,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4792,
        "d_min": 0,
        "d_mean": 1.38,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          1,
          1
        ],
        "facing": "↙",
        "response_ms": 1985,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be a [BLUE] that completes a TARGET (prefer (2,0)-(1,1)); do not take any [GREY] that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 3,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 141,
        "level": 10,
        "cycle": 1,
        "W": 4,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.0,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.3,
        "blue_ratio_cum": 0.8868,
        "blue_efficiency": 0.1702,
        "S": 48,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 18,
        "oxygen_pct": 98.03,
        "edges_at_risk": 23,
        "mean_thickness": 2.229,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4792,
        "d_min": 0,
        "d_mean": 2.38,
        "d_max": 5,
        "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": 52,
        "position": [
          0,
          0
        ],
        "facing": "↖",
        "response_ms": 2089,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be [BLUE] to complete TARGET (0,0)-(1,0); avoid any [GREY] that creates a new edge.",
        "thickness_map": {
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 4,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 142,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.2,
        "epsilon_active": 0.1,
        "epsilon_total": 0.3,
        "rho_minus_epsilon": -0.2,
        "blue_ratio_cum": 0.8871,
        "blue_efficiency": 0.1727,
        "S": 49,
        "arrow": "→",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 17,
        "oxygen_pct": 98.02,
        "edges_at_risk": 24,
        "mean_thickness": 2.204,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4898,
        "d_min": 0,
        "d_mean": 2.12,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(0,0)-(1,0)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
          "(0,0)-(1,0)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          1,
          0
        ],
        "facing": "→",
        "response_ms": 2875,
        "was_retry": false,
        "was_random": false,
        "note": "Next head toward node (2,0) along existing DONE edges only, then take [BLUE] to complete TARGET (2,0)-(1,1); avoid [GREY] that creates any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 9,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 4,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.8
      },
      {
        "step": 143,
        "level": 10,
        "cycle": 1,
        "W": 3,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.1,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": -0.1,
        "blue_ratio_cum": 0.8847,
        "blue_efficiency": 0.1727,
        "S": 49,
        "arrow": "→",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 16,
        "oxygen_pct": 98.02,
        "edges_at_risk": 24,
        "mean_thickness": 2.184,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.4898,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          2,
          0
        ],
        "facing": "→",
        "response_ms": 2288,
        "was_retry": false,
        "was_random": false,
        "note": "Stay on existing edges only; next, take a [BLUE] that completes a remaining TARGET (aim (2,0)-(1,1)) as soon as reachable.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(1,1)-(0,0)": 4,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 144,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.885,
        "blue_efficiency": 0.1752,
        "S": 50,
        "arrow": "↙",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 15,
        "oxygen_pct": 98.01,
        "edges_at_risk": 25,
        "mean_thickness": 2.16,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.33,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [
          "(2,0)-(1,1)"
        ],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          1,
          1
        ],
        "facing": "↙",
        "response_ms": 2885,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be [BLUE] again to finish TARGET (2,0)-(3,-1); avoid any [GREY] that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 4,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 145,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8853,
        "blue_efficiency": 0.1747,
        "S": 50,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 14,
        "oxygen_pct": 98.01,
        "edges_at_risk": 25,
        "mean_thickness": 2.18,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 2,
        "d_mean": 3.5,
        "d_max": 5,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          0,
          0
        ],
        "facing": "↖",
        "response_ms": 2407,
        "was_retry": false,
        "was_random": false,
        "note": "Keep moving on existing DONE edges only; next prioritize reaching node (2,0) then take [BLUE] to complete TARGET (2,0)-(3,-1) (do not take any [GREY] that creates new edges).",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 5,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 2,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.6
      },
      {
        "step": 146,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.1,
        "epsilon_total": 0.2,
        "rho_minus_epsilon": 0.0,
        "blue_ratio_cum": 0.8856,
        "blue_efficiency": 0.1742,
        "S": 50,
        "arrow": "↗",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 13,
        "oxygen_pct": 98,
        "edges_at_risk": 25,
        "mean_thickness": 2.2,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 2,
        "d_mean": 3.0,
        "d_max": 4,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          1,
          -1
        ],
        "facing": "↗",
        "response_ms": 2089,
        "was_retry": false,
        "was_random": false,
        "note": "Continue along existing edges only; next aim to reach (2,0) then take the [BLUE] move that completes TARGET (2,0)-(3,-1) without any [GREY] onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 5,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 7,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 3,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.4
      },
      {
        "step": 147,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8859,
        "blue_efficiency": 0.1737,
        "S": 50,
        "arrow": "↘",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 12,
        "oxygen_pct": 97.99,
        "edges_at_risk": 25,
        "mean_thickness": 2.22,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 1,
        "d_mean": 2.0,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          2,
          0
        ],
        "facing": "↘",
        "response_ms": 1851,
        "was_retry": false,
        "was_random": false,
        "note": "Next, from (2,0) take → [BLUE] to complete TARGET (2,0)-(3,-1); avoid any [GREY] onto new terrain.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 5,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 8,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 3,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 148,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.1,
        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8836,
        "blue_efficiency": 0.1737,
        "S": 50,
        "arrow": "↗",
        "is_blue": false,
        "first_pass_valid": true,
        "bite_in": 11,
        "oxygen_pct": 97.99,
        "edges_at_risk": 25,
        "mean_thickness": 2.22,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.5,
        "d_max": 3,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
          3,
          -1
        ],
        "facing": "↗",
        "response_ms": 1582,
        "was_retry": false,
        "was_random": false,
        "note": "From (3,-1) take ↘ [BLUE] next to complete TARGET (2,0)-(3,-1); avoid [GREY] that creates any new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 2,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
          "(1,1)-(0,0)": 5,
          "(1,0)-(1,1)": 1,
          "(2,0)-(1,-1)": 8,
          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
          "(-1,0)-(-1,-1)": 1,
          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 3,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
        },
        "target_stability": 0.2
      },
      {
        "step": 149,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": 0,
        "w_reduced": false,
        "dW_colored": 0,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
        "epsilon_passive": 0.0,
        "epsilon_active": 0.0,
        "epsilon_total": 0.0,
        "rho_minus_epsilon": 0.2,
        "blue_ratio_cum": 0.8839,
        "blue_efficiency": 0.1731,
        "S": 50,
        "arrow": "↖",
        "is_blue": true,
        "first_pass_valid": true,
        "bite_in": 10,
        "oxygen_pct": 97.98,
        "edges_at_risk": 25,
        "mean_thickness": 2.24,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.0,
        "d_max": 2,
        "cost_access": 0,
        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": false,
        "B_at_switch": null,
        "newly_colored": [],
        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
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          -2
        ],
        "facing": "↖",
        "response_ms": 1774,
        "was_retry": false,
        "was_random": false,
        "note": "Next move must be ↑ [BLUE] to complete TARGET (3,-2)-(4,-2); avoid any [GREY] that would create a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
          "(2,0)-(3,0)": 1,
          "(3,0)-(2,-1)": 3,
          "(2,-1)-(1,0)": 3,
          "(3,-1)-(2,-2)": 3,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
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          "(1,0)-(1,1)": 1,
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          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
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          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
          "(2,1)-(2,0)": 1,
          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 3,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-2)": 1,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
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        "target_stability": 0.2
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      {
        "step": 150,
        "level": 10,
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        "dW_colored": 0,
        "dW_reverted": 1,
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        "B_grey": 4,
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        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8816,
        "blue_efficiency": 0.1731,
        "S": 49,
        "arrow": "→",
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        "first_pass_valid": true,
        "bite_in": 9,
        "oxygen_pct": 97.98,
        "edges_at_risk": 24,
        "mean_thickness": 2.265,
        "max_thickness": 9,
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          -2
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          "(3,-1)-(2,-2)": 3,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
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          "(1,0)-(1,1)": 1,
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          "(1,-1)-(1,0)": 9,
          "(1,-1)-(2,-1)": 2,
          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
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          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
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          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
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          "(2,-1)-(1,-2)": 2,
          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 3,
          "(1,-2)-(1,-1)": 1,
          "(1,-1)-(2,-2)": 1,
          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 2,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
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        "target_stability": 0.4
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        "level": 10,
        "cycle": 1,
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        "dW_colored": 0,
        "dW_reverted": 0,
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        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
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        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8819,
        "blue_efficiency": 0.1726,
        "S": 49,
        "arrow": "↓",
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        "oxygen_pct": 97.97,
        "edges_at_risk": 24,
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        "max_thickness": 9,
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        "position": [
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          "(3,-1)-(2,-2)": 3,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
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          "(1,0)-(0,-1)": 3,
          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
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          "(-1,-1)-(0,-1)": 2,
          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
          "(-2,0)-(-1,-1)": 1,
          "(0,0)-(0,1)": 4,
          "(0,1)-(-1,1)": 1,
          "(-1,1)-(-1,0)": 2,
          "(-1,0)-(0,0)": 3,
          "(0,0)-(-1,1)": 2,
          "(0,1)-(1,0)": 2,
          "(1,0)-(2,1)": 1,
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          "(1,-2)-(0,-2)": 1,
          "(1,-1)-(0,0)": 3,
          "(1,-2)-(1,-1)": 1,
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          "(2,-2)-(1,-2)": 1,
          "(1,-2)-(0,-1)": 1,
          "(0,-1)-(1,-1)": 3,
          "(1,-1)-(0,-2)": 1,
          "(-1,1)-(-1,2)": 1,
          "(-1,2)-(0,1)": 1,
          "(-1,0)-(0,1)": 1,
          "(3,0)-(3,-1)": 1,
          "(3,-1)-(3,-2)": 3,
          "(3,-2)-(2,-1)": 1,
          "(4,-2)-(3,-1)": 1
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        "target_stability": 0.6
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      {
        "step": 152,
        "level": 10,
        "cycle": 1,
        "W": 2,
        "dW": -1,
        "w_reduced": true,
        "dW_colored": 1,
        "dW_reverted": 0,
        "dW_expansion": 0,
        "B": 7,
        "B_blue": 3,
        "B_grey": 4,
        "rho_eff": 0.2,
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        "epsilon_active": 0.0,
        "epsilon_total": 0.1,
        "rho_minus_epsilon": 0.1,
        "blue_ratio_cum": 0.8822,
        "blue_efficiency": 0.1751,
        "S": 50,
        "arrow": "↙",
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        "first_pass_valid": true,
        "bite_in": 7,
        "oxygen_pct": 97.97,
        "edges_at_risk": 25,
        "mean_thickness": 2.26,
        "max_thickness": 9,
        "min_thickness": 1,
        "erosion_pressure": 0.5,
        "d_min": 0,
        "d_mean": 1.17,
        "d_max": 2,
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        "nearest_edge": "(2,0)-(3,-1)",
        "target_switch": true,
        "B_at_switch": 7,
        "newly_colored": [
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        "reverted_to_white": [],
        "new_targets_created": [],
        "total_edges": 52,
        "position": [
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        ],
        "facing": "↙",
        "response_ms": 1514,
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        "was_random": false,
        "note": "Next move must be ↖ [BLUE] to complete TARGET (3,-2)-(4,-2); avoid any [GREY] that creates a new edge.",
        "thickness_map": {
          "(0,0)-(1,0)": 1,
          "(1,0)-(2,0)": 8,
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          "(2,-1)-(1,0)": 3,
          "(2,0)-(3,-1)": 1,
          "(3,-1)-(2,-2)": 3,
          "(2,-2)-(2,-1)": 1,
          "(2,-1)-(3,-1)": 3,
          "(2,-1)-(2,0)": 5,
          "(2,0)-(1,1)": 1,
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          "(1,-1)-(2,-1)": 2,
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          "(0,-1)-(0,0)": 2,
          "(0,-1)-(-1,0)": 3,
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          "(0,0)-(-1,-1)": 2,
          "(-1,-1)-(0,-2)": 1,
          "(0,-2)-(0,-1)": 3,
          "(-1,0)-(-2,0)": 1,
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        "target_stability": 0.6
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    "trajectory_summary": {
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      "levels_in_trajectory": 9,
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      "W_final": 2,
      "W_min": 0,
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      "W_mean": 1.91,
      "total_edges_colored": 61,
      "total_edges_reverted": 14,
      "total_targets_created": 49,
      "expansion_steps": 29,
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      "rho_eff_mean": 0.1385,
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      "dW_positive_count": 31,
      "dW_negative_count": 59,
      "dW_zero_count": 292,
      "dW_mean": -0.0733,
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      "grey_total": 45,
      "blue_pct": 88.2,
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      "B_W_correlation": 0.0709,
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      "d_min_at_W1": 0,
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          "blue_count": 70,
          "grey_count": 6,
          "w_reductions": 14,
          "expansions": 16,
          "reversions": 0,
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          "mean_dW": -0.026,
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    "timestamp": "2026-03-04T23:04:04.781476",
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    "total_tokens_in": 221238,
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