[ { "run_id": "784674fe", "runner_version": "4.4", "timestamp": "2026-03-04T18:31:02.484430", "provider": "anthropic_opus", "model": "claude-opus-4-6", "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": "trapped", "final_cycle": 1, "final_level": 6, "total_steps": 7, "final_oxygen": 99.41, "total_tokens_in": 215869, "total_tokens_out": 27544, "total_cache_read": 0, "total_retries": 0, "shapes_count": 5, "shapes": [ { "c": 1, "l": 1, "step": 16 }, { "c": 1, "l": 2, "step": 16 }, { "c": 1, "l": 3, "step": 35 }, { "c": 1, "l": 4, "step": 41 }, { "c": 1, "l": 5, "step": 26 } ], "bridge_stats": { "total_moves": 123, "blue_moves": 97, "grey_moves": 26, "blue_pct": 78.9, "max_grey_streak": 3, "w_max": 4, "w_min": 0, "w_final": 2, "levels_cleared": 5, "notes_sample": [ "I'm at [2,1] moving ↑ to [2,0]. This is BLUE and crosses edge (2,0)-(2,1)... wai", "I'm at [2,0] facing ↑. Moving → to [3,0] is BLUE and crosses edge (2,0)-(3,0) wh", "I'm at [3,0] facing →. Moving ↙ to [2,1] crosses edge (3,0)-(2,1) which is alrea" ] }, "notes_history": [ { "step": 3, "text": "LEVEL 5 COMPLETE! Well done. NEW LEVEL 6 starting. The map is completely new — all previous targets and positions are GONE. Read the new map carefully. Your only goal: W=0." }, { "step": 4, "text": "Target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). I'm at [3,0] and moved ↙ to [2,1], which should be BLUE. I need to get back to the line of targets. From [2,1], I need to reach edges along y=0 row: (0,0)-(1,0) and (1,0)-(2,0). Try to move ↑ or ↖ to get back toward target edges. W should be reduced if I crossed a target edge. Check W next step." }, { "step": 5, "text": "I'm at [2,1] moving ↑ to [2,0]. This is BLUE and crosses edge (2,0)-(2,1)... wait, that's not a target. Let me reconsider. The target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). Moving ↑ from [2,1] goes to [2,0] which crosses edge (2,1)-(2,0) = (2,0)-(2,1) which is already DONE. Actually ↑ is marked BLUE so it must be a target. The target (2,0)-(3,0) might map differently. After this move I'll be at [2,0]. From [2,0] I need to reach (1,0)-(2,0) by going ← to [1,0], and then (0,0)-(1,0) by going ← to [0,0]. Priority: chain ←/↙/↖ moves along the target edges to complete all 3. W should" }, { "step": 6, "text": "I'm at [2,0] facing ↑. Moving → to [3,0] is BLUE and crosses edge (2,0)-(3,0) which is a TARGET. This should reduce W from 3 to 2. After this I'll be at [3,0] facing →. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). From [3,0] I need to get back left. I cannot reverse (no ← since facing →). I should go ↙ to [2,1] or ↖ to [2,-1] to reposition, then navigate toward [2,0]-[1,0]-[0,0] path. Key: reach edge (1,0)-(2,0) by traversing between those nodes, then (0,0)-(1,0). Avoid creating new grey edges when possible - use existing edges. From [3,0], try ↙ toward [2,1] (existing edge, but DONE so grey would damage it). Better: go ↖ to [2,-1] then ←" }, { "step": 7, "text": "I'm at [3,0] facing →. Moving ↙ to [2,1] crosses edge (3,0)-(2,1) which is already DONE thickness=1. This is marked BLUE so it adds thickness to 2, good for bite protection. But wait - I need to check: BLUE means it reduces W, so maybe it's a target? No, map says DONE. Let me reconsider - the move is marked BLUE so it must reduce W somehow. After this I'll be at [2,1] facing ↙. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). From [2,1] I need to go ↑ or ↖ to reach [2,0] or [1,0]. From [2,1] facing ↙, I can't go ↗ (reversal). I can go ↖ to [1,1] or ↑ to [2,0] or ← to [1,1]. Going ↑ to [2,0] crosses existing DONE 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": 5796, "was_retry": false, "was_random": false, "note": "Target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). I'm at [3,0] and moved ↙ to [2,1]. I need to reach edge (2,0)-(3,0) which means traversing between nodes 2,0 and 3,0. Next I need to navigate ba", "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": [ 2, 0 ], "facing": "↑", "response_ms": 6223, "was_retry": false, "was_random": false, "note": "I'm at [2,1] and moved ↑ to [2,0]. This BLUE move completes edge (2,0)-(2,1) — wait, that's already done. Let me reconsider: moving ↑ from [2,1] goes to [2,0], crossing edge (2,0)-(2,1) which is alrea", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 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": "(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": 6476, "was_retry": false, "was_random": false, "note": "I'm at [2,0] and moved → to [3,0], completing target edge (2,0)-(3,0). W should drop to 2. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). I'm now at [3,0] facing →. Next I need to get back to [2,0] t", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "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": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 100, "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": 6459, "was_retry": false, "was_random": false, "note": "I'm at [3,0] and moved ↙ to [2,1], crossing edge (3,0)-(2,1) which is already DONE (adds thickness). Now at [2,1] facing ↙. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). I need to get to [2,0] then ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "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": 3, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.99, "edges_at_risk": 1, "mean_thickness": 1.667, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.3333, "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": 5, "position": [ 2, 0 ], "facing": "↑", "response_ms": 5712, "was_retry": false, "was_random": false, "note": "I'm at [2,1] and moved ↑ to [2,0], crossing DONE edge (2,1)-(2,0) which adds thickness (now thickness=2). Now at [2,0] facing ↑. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). From [2,0], I need to m", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2 }, "target_stability": 0.6 }, { "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": 0.8333, "blue_efficiency": 0.2, "S": 3, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.99, "edges_at_risk": 1, "mean_thickness": 1.667, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.3333, "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": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "←", "response_ms": 7070, "was_retry": false, "was_random": false, "note": "I'm at [2,0] and moved ← to [1,0], but it was GREY (didn't complete target (1,0)-(2,0)). This is confusing — the edge (1,0)-(2,0) should have been colored. Now at [1,0] facing ←. W may still be 2. Rem", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2 }, "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": 0.7143, "blue_efficiency": 0.2, "S": 3, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.98, "edges_at_risk": 1, "mean_thickness": 1.667, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.3333, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 0, 0 ], "facing": "←", "response_ms": 7143, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ← and moved ← to [0,0]. Looking at available moves: ← to [0,0] is GREY, meaning it won't complete target (0,0)-(1,0). But ↘ to [2,1] is BLUE, ↓ to [1,1] is BLUE, ↙ to [0,1] is BLUE", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2 }, "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": 0.625, "blue_efficiency": 0.2, "S": 3, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.98, "edges_at_risk": 1, "mean_thickness": 1.667, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.3333, "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": [ "(0,0)-(1,-1)" ], "total_edges": 6, "position": [ 1, -1 ], "facing": "↗", "response_ms": 7212, "was_retry": false, "was_random": false, "note": "I'm at [0,0] and moved ↗ to [1,-1]. This is GREY so creates new non-completed edge (W increases to 3). BUT wait — I need to reconsider. The targets are (0,0)-(1,0) and (1,0)-(2,0). I'm at [0,0] facing", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2 }, "target_stability": 0.4 }, { "step": 12, "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": 0.1111, "epsilon_passive": 0.0, "epsilon_active": 0.4444, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.6667, "blue_efficiency": 0.1667, "S": 4, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.97, "edges_at_risk": 2, "mean_thickness": 1.5, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.83, "d_max": 1, "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": 7, "position": [ 1, 0 ], "facing": "↓", "response_ms": 7551, "was_retry": false, "was_random": false, "note": "I'm at [1,-1] facing ↗, moved ↓ to [1,0] which is BLUE — this should complete target edge (1,-1)-(1,0) which corresponds to TARGET (0,0)-(1,-1). Wait, let me check: the target is (0,0)-(1,-1) and I'm ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 13, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.7, "blue_efficiency": 0.2857, "S": 5, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.96, "edges_at_risk": 3, "mean_thickness": 1.4, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 0, "d_mean": 0.67, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 0, 0 ], "facing": "←", "response_ms": 6876, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ↓. Moving ← to [0,0] is BLUE — this completes target edge (0,0)-(1,0), reducing W from 3 to 2. Remaining targets: (1,0)-(2,0) and (0,0)-(1,-1). From [0,0] facing ←, I need to reach", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 1, "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": 0.7273, "blue_efficiency": 0.375, "S": 6, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.96, "edges_at_risk": 4, "mean_thickness": 1.333, "max_thickness": 2, "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,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(0,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, -1 ], "facing": "↗", "response_ms": 6179, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ←, moving ↗ to [1,-1]. This is BLUE and should complete target edge (0,0)-(1,-1), reducing W from 2 to 1. Remaining target after this: (1,0)-(2,0). From [1,-1] facing ↗, I cannot g", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 15, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.75, "blue_efficiency": 0.3333, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.95, "edges_at_risk": 5, "mean_thickness": 1.286, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "↘", "response_ms": 6724, "was_retry": false, "was_random": false, "note": "I'm at [1,-1] facing ↗, moving ↘ to [2,0]. This is BLUE and should complete the last remaining target edge (1,0)-(2,0)... wait, edge from [1,-1] to [2,0] might be a different edge. Actually on hex gri", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(1,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 1, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7692, "blue_efficiency": 0.4, "S": 8, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.95, "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": "(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": 5592, "was_retry": false, "was_random": false, "note": "I'm at [2,0] facing ↘, moving ← to [1,0]. This is BLUE and traverses edge (1,0)-(2,0), which is the last remaining TARGET. This should reduce W from 1 to 0 and win the game. The edge (1,0)-(2,0) is li", "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, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(1,-1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "event": "LEVEL_COMPLETE", "completed_level": 1, "new_level": 2, "cumulative_blue_at_transition": 10, "cumulative_total_at_transition": 13, "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": 0.7857, "blue_efficiency": 0.3636, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 99.95, "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": 5939, "was_retry": false, "was_random": false, "note": "Target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). I'm at [3,0] and moved ↙ to [2,1], which should be BLUE. I need to reach and complete all 3 target edges. From [2,1], I need to navigate back to", "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": 0.8, "blue_efficiency": 0.3333, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.95, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 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": 6516, "was_retry": false, "was_random": false, "note": "I'm at [2,1] moving ↑ to [2,0]. This is BLUE and completes target edge (2,0)-(2,1)... wait, no. Target is (2,0)-(3,0). Let me reconsider. Actually ↑ from [2,1] goes to [2,0] which is BLUE - this shoul", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 2, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.8125, "blue_efficiency": 0.3846, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.95, "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": 7141, "was_retry": false, "was_random": false, "note": "I'm at [2,0] moving → to [3,0], which is BLUE and completes target edge (2,0)-(3,0). W should drop to 2. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). From [3,0] I need to get back to traverse those", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.8235, "blue_efficiency": 0.3571, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.95, "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": 6710, "was_retry": false, "was_random": false, "note": "I'm at [3,0] facing →, moving ↙ to [2,1]. This is BLUE and adds thickness to edge (3,0)-(2,1) which is already DONE (now thickness=2). This doesn't reduce W but protects that edge from bite. Remaining", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "step": 8, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.8333, "blue_efficiency": 0.3333, "S": 4, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.94, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 1 ], "facing": "←", "response_ms": 5986, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing ↙, moving ← to [1,1]. This is BLUE and reduces W (new edge completed). From [1,1] I need to reach edges (0,0)-(1,0) and (1,0)-(2,0). Target (1,0)-(2,0) means I need to traverse fro", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.8421, "blue_efficiency": 0.3125, "S": 5, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.93, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "↑", "response_ms": 6586, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ←, moving ↑ to [1,0]. This is BLUE and completes target edge (1,0)-(1,1)... wait, the targets are (0,0)-(1,0) and (1,0)-(2,0). Edge (1,1)-(1,0) is not a target, so this BLUE move c", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 2, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2857, "epsilon_passive": 0.0, "epsilon_active": 0.4286, "epsilon_total": 0.4286, "rho_minus_epsilon": -0.1429, "blue_ratio_cum": 0.85, "blue_efficiency": 0.3529, "S": 6, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.93, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, 0 ], "facing": "→", "response_ms": 8985, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ↑, moving → to [2,0]. This is BLUE and completes target edge (1,0)-(2,0), reducing W from 2 to 1. Remaining target: (0,0)-(1,0). I need to traverse from [0,0] to [1,0] or [1,0] to ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 11, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.375, "epsilon_total": 0.375, "rho_minus_epsilon": -0.125, "blue_ratio_cum": 0.8571, "blue_efficiency": 0.3333, "S": 7, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.92, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 1 ], "facing": "↙", "response_ms": 6969, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing ↙. Only target left: (0,0)-(1,0), W=1. I need to reach [0,0] or [1,0] to traverse that edge. From [2,1] facing ↙, I can't go ↗. I should go ← to [1,1] (BLUE, already completed 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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 12, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.3333, "epsilon_total": 0.3333, "rho_minus_epsilon": -0.1111, "blue_ratio_cum": 0.8636, "blue_efficiency": 0.3158, "S": 8, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.92, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 0, 1 ], "facing": "←", "response_ms": 6577, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ←, moving ← to [0,1]. This is BLUE (new edge created completed, but doesn't reduce W since target is (0,0)-(1,0)). Actually W stays at 1. From [0,1] facing ←, I can't go →. I need ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,1)": 1 }, "target_stability": 0.2 }, { "step": 13, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "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": 0.8696, "blue_efficiency": 0.3, "S": 9, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.91, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "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": 10, "position": [ 0, 0 ], "facing": "↑", "response_ms": 6648, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ↑ after moving from [0,1]. The only remaining target is edge (0,0)-(1,0), W=1. From [0,0] I need to move to [1,0] to traverse and complete that target edge. From [0,0] facing ↑, I ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 14, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.875, "blue_efficiency": 0.2857, "S": 10, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.9, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, -1 ], "facing": "↗", "response_ms": 7286, "was_retry": false, "was_random": false, "note": "I moved ↗ from [0,0] to [1,-1] which is NOT toward [1,0]. Wait - let me reconsider. Available moves show ↗ → [1,-1] [BLUE] and ↘ → [1,1] [BLUE]. The target is (0,0)-(1,0). On this hex grid, [1,0] corr", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1 }, "target_stability": 0.2 }, { "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.88, "blue_efficiency": 0.2727, "S": 11, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.9, "edges_at_risk": 10, "mean_thickness": 1.091, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9091, "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": 12, "position": [ 1, 0 ], "facing": "↓", "response_ms": 6331, "was_retry": false, "was_random": false, "note": "I'm at [1,-1] facing ↗, moving ↓ to [1,0]. This is BLUE and traverses edge (1,-1)-(1,0). But the target is (0,0)-(1,0), not (1,-1)-(1,0). So this doesn't complete the target. From [1,0] I need to reac", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 16, "level": 2, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.8846, "blue_efficiency": 0.3043, "S": 12, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.89, "edges_at_risk": 11, "mean_thickness": 1.083, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9167, "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": 12, "position": [ 0, 0 ], "facing": "←", "response_ms": 4315, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ↓. Moving ← to [0,0] is BLUE and traverses edge (0,0)-(1,0) which is the TARGET. This should complete it, reducing W from 1 to 0 and winning the game. If not won, the target was (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, "(2,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(1,1)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 16, "event": "LEVEL_COMPLETE", "completed_level": 2, "new_level": 3, "cumulative_blue_at_transition": 23, "cumulative_total_at_transition": 26, "cumulative_w_reductions": 7 }, { "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": 0.8889, "blue_efficiency": 0.2917, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.89, "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": 8074, "was_retry": false, "was_random": false, "note": "I'm at [3,0] and need to complete targets (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). Moving ↙ to [2,1] is BLUE but creates a NEW edge (3,0)-(2,1), not a target edge. WAIT - the targets are along the horiz", "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": 0.8929, "blue_efficiency": 0.28, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.89, "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": 6696, "was_retry": false, "was_random": false, "note": "I'm at [2,1] moving ↑ to [2,0] which is BLUE and completes target edge (2,0)-(2,1)... WAIT, that's not a target. The targets are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). Let me reconsider: ↑ goes to [2,", "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": 0.8966, "blue_efficiency": 0.3077, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.89, "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": 6830, "was_retry": false, "was_random": false, "note": "I'm at [2,0] facing ↑. Moving → to [3,0] is BLUE and completes target edge (2,0)-(3,0). W should drop to 2. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). From [3,0] I need to get back to [2,0] then ", "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": 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": 0.9, "blue_efficiency": 0.2963, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.89, "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": 5997, "was_retry": false, "was_random": false, "note": "I'm at [2,1] now, facing ↙ from [3,0]. Edge (3,0)-(2,1) already DONE so this BLUE move adds thickness. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). From [2,1] I need to reach [2,0] then go ↖ to [1,", "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": 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": 0.871, "blue_efficiency": 0.2963, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.89, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,1)-(1,2)" ], "total_edges": 6, "position": [ 1, 2 ], "facing": "↙", "response_ms": 22012, "was_retry": false, "was_random": false, "note": "I'm at [1,2] now, facing ↙. I need to reach [1,0] and [0,0] to complete targets (1,0)-(2,0) and (0,0)-(1,0). All available moves from [2,1] were GREY - no path to [2,0] was available (↑ not listed). G", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 9, "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": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.6667, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.875, "blue_efficiency": 0.2857, "S": 4, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.88, "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)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 1 ], "facing": "↑", "response_ms": 8895, "was_retry": false, "was_random": false, "note": "I'm at [1,1] now, facing ↑ from [1,2]. This BLUE move created edge (1,2)-(1,1) but that wasn't a target - W stays at 3 or this edge is new completed (not a target so W unchanged but no new target eith", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 10, "level": 3, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.7143, "epsilon_total": 0.7143, "rho_minus_epsilon": -0.5714, "blue_ratio_cum": 0.8485, "blue_efficiency": 0.2857, "S": 4, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.88, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.33, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,1)-(1,0)" ], "total_edges": 8, "position": [ 1, 0 ], "facing": "↑", "response_ms": 8311, "was_retry": false, "was_random": false, "note": "I'm at [1,0] now, facing ↑ from [1,1]. This was GREY so edge (1,1)-(1,0) is new non-completed, W likely now 4. Targets: (0,0)-(1,0), (1,0)-(2,0), (2,1)-(1,2), and new (1,1)-(1,0). From [1,0] facing ↑,", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 11, "level": 3, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.625, "epsilon_total": 0.625, "rho_minus_epsilon": -0.375, "blue_ratio_cum": 0.8529, "blue_efficiency": 0.3103, "S": 5, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.87, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "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": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "→", "response_ms": 6633, "was_retry": false, "was_random": false, "note": "I'm at [2,0] now, facing → from [1,0]. This BLUE move completed target (1,0)-(2,0), W should be 3. Remaining targets: (0,0)-(1,0), (2,1)-(1,2), (1,1)-(1,0). From [2,0] I need to get to [2,1] to then r", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 12, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.5556, "epsilon_total": 0.5556, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.8571, "blue_efficiency": 0.3, "S": 6, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.86, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 1, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 1 ], "facing": "↙", "response_ms": 5809, "was_retry": false, "was_random": false, "note": "I'm at [2,1] now, facing ↙ from [2,0]. This BLUE move on edge (2,0)-(2,1) adds thickness (was 1, now 2) but doesn't reduce W since it was already DONE. W still 3. Targets: (0,0)-(1,0), (2,1)-(1,2), (1", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 13, "level": 3, "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": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.5, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.8333, "blue_efficiency": 0.3, "S": 5, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.86, "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": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [ "(1,2)-(1,1)" ], "new_targets_created": [], "total_edges": 9, "position": [ 1, 2 ], "facing": "↓", "response_ms": 7796, "was_retry": false, "was_random": false, "note": "I'm at [1,2] now, facing ↓ from [1,1]. Wait - I'm at [1,1] facing ↙. Available moves show ↓→[1,2] as GREY, but target (2,1)-(1,2) needs me at [2,1] or [1,2]. I went ↓ to [1,2], crossing edge (1,1)-(1,", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 3, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.8378, "blue_efficiency": 0.3226, "S": 6, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.85, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.38, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,1)-(1,2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 1 ], "facing": "↗", "response_ms": 7903, "was_retry": false, "was_random": false, "note": "I'm at [2,1] now, facing ↗ from [1,2]. This BLUE move crosses edge (1,2)-(2,1) which is TARGET, so W drops from 4 to 3. Remaining targets: (0,0)-(1,0), (1,2)-(1,1), (1,1)-(1,0). From [2,1] facing ↗, I", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 15, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.8421, "blue_efficiency": 0.3125, "S": 7, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.85, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 1, "d_mean": 1.33, "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": 10, "position": [ 1, 1 ], "facing": "←", "response_ms": 6752, "was_retry": false, "was_random": false, "note": "I'm at [1,1] now, facing ← from [2,1]. This BLUE move crosses edge (2,1)-(1,1) but wait - edge (2,0)-(1,1) is DONE thickness=1, and (2,1)-(1,1) is not listed as DONE. The move says BLUE so it must be ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.8205, "blue_efficiency": 0.3125, "S": 7, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.84, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 0 ], "facing": "↑", "response_ms": 7838, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ←. Going ↑ to [1,0] is GREY (not BLUE), so it won't complete target (1,1)-(1,0). Wait - checking: ↑→[1,0] is GREY. But target (1,1)-(1,0) exists! GREY means this edge already exist", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 17, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.8, "blue_efficiency": 0.3125, "S": 7, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.83, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "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": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 0, 0 ], "facing": "←", "response_ms": 7953, "was_retry": false, "was_random": false, "note": "I'm at [1,0] now, facing ← from [1,0]... wait, I moved ← from [1,1] to [0,0]. Actually position [1,0] facing ↑, moving ← goes to [0,0]. This is GREY, creating edge (1,0)-(0,0) which IS target (0,0)-(1", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.8 }, { "step": 18, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.8049, "blue_efficiency": 0.303, "S": 8, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.83, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "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, 1 ], "facing": "↘", "response_ms": 6868, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ←, moving ↘ to [1,1] which is BLUE. This should complete edge (0,0)-(1,1) but that's not a target - wait, it might be creating a new completed edge. But BLUE reduces W, so maybe it", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 19, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7857, "blue_efficiency": 0.303, "S": 8, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.82, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 2 ], "facing": "↓", "response_ms": 7796, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↘, moving ↓ to [1,2]. This is GREY (not BLUE), which is bad - it doesn't complete target (1,2)-(1,1). But wait - ↑→[1,0] is BLUE and would traverse edge (1,1)-(1,0) which IS a targ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7907, "blue_efficiency": 0.2941, "S": 9, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.82, "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": "(1,2)-(1,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 1 ], "facing": "↖", "response_ms": 6539, "was_retry": false, "was_random": false, "note": "I'm at [1,2] facing ↓, moving ↖ to [0,1]. This is BLUE - but what edge does it complete? Edge (1,2)-(0,1) is not a target, so this might just create a new completed edge (not reducing W). Wait, checki", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,2)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7955, "blue_efficiency": 0.2857, "S": 10, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.81, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 1 ], "facing": "→", "response_ms": 7073, "was_retry": false, "was_random": false, "note": "I'm at [0,1] facing ↖, moving → to [1,1] which is BLUE. Edge (0,1)-(1,1) - wait, that's not a target. But → is BLUE so it must complete something or add thickness. Actually (0,0)-(1,1) is already DONE", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 22, "level": 3, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7778, "blue_efficiency": 0.2857, "S": 10, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.8, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 0 ], "facing": "↑", "response_ms": 6791, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ↑ after completing target (1,1)-(1,0), W should be 2 now. Remaining targets: (0,0)-(1,0) and (1,2)-(1,1). From [1,0] facing ↑, can't go ↓ (180°). Need to reach [0,0] to traverse ed", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 23, "level": 3, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7826, "blue_efficiency": 0.3056, "S": 11, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.8, "edges_at_risk": 10, "mean_thickness": 1.091, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9091, "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": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 0, 0 ], "facing": "←", "response_ms": 5981, "was_retry": false, "was_random": false, "note": "I'm at [0,0] after moving ← from [1,0], which is BLUE and completes target (0,0)-(1,0)! W should now be 2 (targets remaining: (1,2)-(1,1) and (1,1)-(1,0) - wait, (1,1)-(1,0) was completed step 21). So", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 24, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7872, "blue_efficiency": 0.2973, "S": 11, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.79, "edges_at_risk": 9, "mean_thickness": 1.182, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8182, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 1 ], "facing": "↘", "response_ms": 6534, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↘. W=2, targets are (1,2)-(1,1) and (1,1)-(1,0). The BLUE move ↘ to [1,1] added thickness to (0,0)-(1,1) but didn't reduce W. Now from [1,1] facing ↘, can't go ↖ (180°). Need to go", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 2, "(1,2)-(0,1)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 25, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7708, "blue_efficiency": 0.2973, "S": 11, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.79, "edges_at_risk": 9, "mean_thickness": 1.182, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8182, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,2)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 2 ], "facing": "↓", "response_ms": 7659, "was_retry": false, "was_random": false, "note": "I moved ↓ from [1,1] to [1,2]. This is GREY (not BLUE), so it doesn't complete target (1,2)-(1,1). The edge (1,1)-(1,2) direction matters - target is (1,2)-(1,1) meaning I need to traverse FROM [1,2] ", "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, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 2, "(1,2)-(0,1)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 26, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7755, "blue_efficiency": 0.2895, "S": 11, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.78, "edges_at_risk": 8, "mean_thickness": 1.273, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(1,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 0, 1 ], "facing": "↖", "response_ms": 6157, "was_retry": false, "was_random": false, "note": "I moved ↖ from [1,2] to [0,1]. This is BLUE, traversing edge (1,2)-(0,1) which is already DONE, so it adds thickness but doesn't reduce W. W still=2. Targets: (1,2)-(1,1) and (1,1)-(1,0). From [0,1] f", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 2, "(1,2)-(0,1)": 2, "(0,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 27, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.78, "blue_efficiency": 0.2821, "S": 12, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.77, "edges_at_risk": 9, "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": "(1,2)-(1,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 0 ], "facing": "↑", "response_ms": 6349, "was_retry": false, "was_random": false, "note": "I moved ↑ from [0,1] to [0,0]. This is BLUE, traversing edge (0,1)-(0,0) which is new - but doesn't complete a target, so W may increase. BAD. Targets: (1,2)-(1,1) and (1,1)-(1,0). Wait - actually ↗ t", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 2, "(1,2)-(0,1)": 2, "(0,1)-(1,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 28, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7843, "blue_efficiency": 0.275, "S": 12, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.77, "edges_at_risk": 9, "mean_thickness": 1.333, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 1 ], "facing": "↘", "response_ms": 6126, "was_retry": false, "was_random": false, "note": "I moved ↘ from [0,0] to [1,1]. This is BLUE, traversing edge (0,0)-(1,1) which is already DONE (adds thickness, doesn't reduce W). W still=2. Targets: (1,2)-(1,1) and (1,1)-(1,0). Now at [1,1] facing ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 2, "(0,1)-(1,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 29, "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7885, "blue_efficiency": 0.2927, "S": 13, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.76, "edges_at_risk": 10, "mean_thickness": 1.308, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,2)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,2)-(1,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 2 ], "facing": "↓", "response_ms": 6122, "was_retry": false, "was_random": false, "note": "I moved ↓ from [1,1] to [1,2]. This is BLUE, traversing edge (1,1)-(1,2) which is target (1,2)-(1,1). This should reduce W to 1! Remaining target: (1,1)-(1,0). I need to get back to [1,1] then go ↑ to", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 2, "(0,1)-(1,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 30, "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7925, "blue_efficiency": 0.2857, "S": 13, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.76, "edges_at_risk": 10, "mean_thickness": 1.385, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7692, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 1 ], "facing": "↖", "response_ms": 5347, "was_retry": false, "was_random": false, "note": "I moved ↖ from [1,2] to [0,1]. This is BLUE, traversing edge (1,2)-(0,1) which is already DONE (adds thickness, doesn't reduce W). W still=1. Remaining target: (1,1)-(1,0). Now at [0,1] facing ↖. Can'", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 3, "(0,1)-(1,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 31, "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": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7963, "blue_efficiency": 0.2791, "S": 13, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.75, "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": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 1 ], "facing": "→", "response_ms": 5092, "was_retry": false, "was_random": false, "note": "I moved → from [0,1] to [1,1]. This is BLUE, traversing edge (0,1)-(1,1) which is already DONE (adds thickness, doesn't reduce W). W still=1. Remaining target: (1,1)-(1,0). Now at [1,1] facing →. Can'", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 3, "(0,1)-(1,1)": 2, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 32, "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7818, "blue_efficiency": 0.2791, "S": 13, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.74, "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": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 0 ], "facing": "↑", "response_ms": 3904, "was_retry": false, "was_random": false, "note": "I moved ↑ from [1,1] to [1,0]. This should be BLUE, traversing edge (1,1)-(1,0) which is the last TARGET. This should reduce W from 1 to 0, completing the game! If somehow W>0 after this, check map fo", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 3, "(0,1)-(1,1)": 2, "(0,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 33, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7857, "blue_efficiency": 0.2727, "S": 14, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.74, "edges_at_risk": 10, "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": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 1 ], "facing": "↙", "response_ms": 6014, "was_retry": false, "was_random": false, "note": "I moved ↙ from [1,0] to [0,1]. This is BLUE, traversing edge (1,0)-(0,1) which is already DONE (adds thickness). W=1 still. The TARGET is (1,1)-(1,0). I'm at [0,1] facing ↙. Can't go ↗ (180°). I need ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 3, "(0,1)-(1,1)": 2, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 34, "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": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7895, "blue_efficiency": 0.2667, "S": 14, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.73, "edges_at_risk": 10, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,1)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 1 ], "facing": "→", "response_ms": 5254, "was_retry": false, "was_random": false, "note": "I moved → from [0,1] to [1,1]. This is BLUE, traversing edge (0,1)-(1,1) which is already DONE (adds thickness, doesn't reduce W). W still=1. Remaining target: (1,1)-(1,0). Now at [1,1] facing →. Can'", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 3, "(0,1)-(1,1)": 3, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.2 }, { "step": 35, "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7931, "blue_efficiency": 0.2826, "S": 15, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.73, "edges_at_risk": 11, "mean_thickness": 1.467, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.7333, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(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": 15, "position": [ 1, 0 ], "facing": "↑", "response_ms": 4234, "was_retry": false, "was_random": false, "note": "I moved ↑ from [1,1] to [1,0]. This should be BLUE, traversing edge (1,1)-(1,0) which is the TARGET. This should reduce W from 1 to 0, completing the game! If W is still >0 after this, bite may have u", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 1, "(2,1)-(1,1)": 1, "(0,0)-(1,1)": 3, "(1,2)-(0,1)": 3, "(0,1)-(1,1)": 3, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.2 }, { "step": 35, "event": "LEVEL_COMPLETE", "completed_level": 3, "new_level": 4, "cumulative_blue_at_transition": 46, "cumulative_total_at_transition": 58, "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": 0.7966, "blue_efficiency": 0.2766, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "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": 6811, "was_retry": false, "was_random": false, "note": "Target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). I'm at [3,0] and moved ↙ to [2,1], which is BLUE but likely creates edge (3,0)-(2,1), not a target edge. I need to traverse the target edges alo", "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": 0.8, "blue_efficiency": 0.2708, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "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": 6221, "was_retry": false, "was_random": false, "note": "I'm at [2,1] moving ↑ to [2,0] which is BLUE - this completes target edge (2,0)-(2,1)... wait, no. The target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). Moving ↑ from [2,1] to [2,0] crosses edge", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 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": 0.8033, "blue_efficiency": 0.2857, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "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": 6790, "was_retry": false, "was_random": false, "note": "I'm at [2,0], moving → to [3,0] which is BLUE - this completes target edge (2,0)-(3,0), reducing W from 3 to 2. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). I need to get back to [2,0] then go ← to", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 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": 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": 0.8065, "blue_efficiency": 0.28, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "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": 6059, "was_retry": false, "was_random": false, "note": "I'm at [3,0] facing →, moving ↙ to [2,1] which is BLUE - this crosses edge (3,0)-(2,1) which is already DONE, so this adds thickness to it (thickness=2 now) but doesn't reduce W. W stays at 2. Remaini", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "step": 8, "level": 4, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.6, "blue_ratio_cum": 0.7937, "blue_efficiency": 0.28, "S": 3, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.72, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,1)-(2,2)" ], "total_edges": 6, "position": [ 2, 2 ], "facing": "↓", "response_ms": 6454, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing ↙. All moves are GREY and create new edges. Going ↓ to [2,2] is least harmful. From [2,2] I need to navigate left and up to reach [1,0] or [0,0]. The goal is to reach [1,0] so I ca", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 4, "cycle": 1, "W": 4, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.8333, "epsilon_total": 0.8333, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 0.7812, "blue_efficiency": 0.28, "S": 3, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.71, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 1.67, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,2)-(1,1)" ], "total_edges": 7, "position": [ 1, 1 ], "facing": "↖", "response_ms": 6592, "was_retry": false, "was_random": false, "note": "I'm at [2,2] facing ↓, moving ↖ to [1,1]. This is GREY and creates new edge (2,2)-(1,1), increasing W to 4. But wait - target (2,1)-(2,2) exists! Let me re-check... Actually the target (2,1)-(2,2) is ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 10, "level": 4, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.7143, "epsilon_total": 0.7143, "rho_minus_epsilon": -0.5714, "blue_ratio_cum": 0.7846, "blue_efficiency": 0.2745, "S": 4, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.71, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 1.12, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,2)-(1,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 0 ], "facing": "↑", "response_ms": 5986, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↖, moving ↑ to [1,0]. This is BLUE and completes target edge (1,1)-(1,0)... wait, that's not a listed target. Let me check: targets are (0,0)-(1,0), (1,0)-(2,0), (2,1)-(2,2), (2,2)", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 11, "level": 4, "cycle": 1, "W": 3, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.625, "epsilon_total": 0.625, "rho_minus_epsilon": -0.375, "blue_ratio_cum": 0.7879, "blue_efficiency": 0.2885, "S": 5, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.7, "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": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "→", "response_ms": 6052, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ↑, moving → to [2,0]. This is BLUE and completes target (1,0)-(2,0), reducing W from 4 to 3. Remaining targets: (0,0)-(1,0), (2,1)-(2,2), (2,2)-(1,1). From [2,0] I need to go ↘ to ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 12, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.5556, "epsilon_total": 0.5556, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.791, "blue_efficiency": 0.283, "S": 5, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.7, "edges_at_risk": 3, "mean_thickness": 1.4, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 1 ], "facing": "↓", "response_ms": 6232, "was_retry": false, "was_random": false, "note": "I'm at [2,0] facing →, moving ↓ to [2,1]. This is BLUE - edge (2,0)-(2,1) already exists with thickness=1, so this adds thickness=2 (not a target, doesn't reduce W but protects edge). Wait, BLUE means", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 13, "level": 4, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7794, "blue_efficiency": 0.283, "S": 5, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.69, "edges_at_risk": 3, "mean_thickness": 1.4, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 2 ], "facing": "↓", "response_ms": 8224, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing ↓, moving ↓ to [2,2]. This should be GREY (not BLUE as listed targets show (2,1)-(2,2) IS a target - but the move shows GREY). Wait, checking available moves: ↓ to [2,2] is [GREY].", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 14, "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": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7826, "blue_efficiency": 0.2963, "S": 6, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.68, "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": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,2)-(1,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 1 ], "facing": "↖", "response_ms": 6094, "was_retry": false, "was_random": false, "note": "I'm at [2,2] facing ↓, moving ↖ to [1,1]. This is BLUE and completes target (2,2)-(1,1), reducing W from 3 to 2. Remaining targets after this: (0,0)-(1,0) and (2,1)-(2,2). From [1,1] I need to go ↑ to", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "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": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7857, "blue_efficiency": 0.2909, "S": 6, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.68, "edges_at_risk": 3, "mean_thickness": 1.5, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5, "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": 8, "position": [ 1, 0 ], "facing": "↑", "response_ms": 5137, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↖, moving ↑ to [1,0]. This is BLUE and adds thickness to DONE edge (1,1)-(1,0). W stays at 2. Targets remain: (0,0)-(1,0) and (2,1)-(2,2). From [1,0] I need to go ← to [0,0] to com", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 2 }, "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7746, "blue_efficiency": 0.2909, "S": 6, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.67, "edges_at_risk": 3, "mean_thickness": 1.5, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 0, 0 ], "facing": "←", "response_ms": 6784, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ←, just completed target (0,0)-(1,0) with BLUE move, W should drop to 1. Remaining target: (2,1)-(2,2). From [0,0] I need to navigate back east. Plan: go → to [1,0] (GREY, existing", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 2 }, "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": 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": 0.7778, "blue_efficiency": 0.2857, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.67, "edges_at_risk": 4, "mean_thickness": 1.429, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5714, "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": 9, "position": [ 1, 1 ], "facing": "↘", "response_ms": 6838, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ←, moving ↘ to [1,1]. This is BLUE and creates a new edge (0,0)-(1,1) - wait, but (1,1)-(1,0) is already DONE. The edge (0,0)-(1,1) is new, so BLUE creates it completed, but it's n", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 2, "(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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7808, "blue_efficiency": 0.2807, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.66, "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": 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, 1 ], "facing": "→", "response_ms": 6340, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↘, moving → to [2,1]. This is BLUE and crosses edge (1,1)-(2,1) - but wait, that's not a target edge. The targets are (0,0)-(1,0) and (2,1)-(2,2). Actually looking at map, (0,0)-(1", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7703, "blue_efficiency": 0.2807, "S": 8, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.65, "edges_at_risk": 5, "mean_thickness": 1.375, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 2, 2 ], "facing": "↓", "response_ms": 7636, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing →, moving ↓ to [2,2]. This should be BLUE and complete target (2,1)-(2,2), reducing W by 1. But wait - ↓ is listed as GREY, not BLUE! That means (2,1)-(2,2) is being traversed as G", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 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": 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": 0.7733, "blue_efficiency": 0.2759, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.65, "edges_at_risk": 4, "mean_thickness": 1.5, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 1 ], "facing": "↖", "response_ms": 6044, "was_retry": false, "was_random": false, "note": "I'm at [2,2] facing ↓, moving ↖ to [1,1]. This is BLUE and crosses edge (2,2)-(1,1) which is already DONE thickness=1, so it adds thickness=2 (good for bite protection). From [1,1] I need to reach tar", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 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": 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": 0.7763, "blue_efficiency": 0.2712, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.64, "edges_at_risk": 3, "mean_thickness": 1.625, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.375, "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": 10, "position": [ 2, 1 ], "facing": "→", "response_ms": 6427, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↖, moving → to [2,1]. This is BLUE and crosses edge (1,1)-(2,1) which is already DONE, adding thickness (now 2). From [2,1] I need to complete target (2,1)-(2,2). I should go ↓ or ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 22, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7792, "blue_efficiency": 0.2833, "S": 9, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.64, "edges_at_risk": 4, "mean_thickness": 1.556, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.4444, "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": 10, "position": [ 2, 2 ], "facing": "↓", "response_ms": 6422, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing →, moving ↓ to [2,2]. This is BLUE and should complete target (2,1)-(2,2), reducing W from 2 to 1! Last time from [2,1] facing ↓ the move was GREY, but now facing → the ↓ move is B", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 2, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 23, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 2, "B_blue": 0, "B_grey": 2, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7821, "blue_efficiency": 0.2787, "S": 9, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.63, "edges_at_risk": 4, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4444, "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": 2, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 1 ], "facing": "↖", "response_ms": 6287, "was_retry": false, "was_random": false, "note": "I'm at [2,2] facing ↓, moving ↖ to [1,1]. This is BLUE and crosses edge (2,2)-(1,1) which is already DONE thickness=2, adding to thickness=3. W stays at 1. Only target remaining: (0,0)-(1,0). From [1,", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 24, "level": 4, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7722, "blue_efficiency": 0.2787, "S": 9, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.63, "edges_at_risk": 4, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4444, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,1)-(1,2)" ], "total_edges": 11, "position": [ 1, 2 ], "facing": "↓", "response_ms": 7574, "was_retry": false, "was_random": false, "note": "I'm at [1,1] facing ↖, only moves available are ↓ to [1,2] (GREY) and ↙ to [0,2] (GREY). Neither helps directly - both create new edges increasing W. Going ↓ to [1,2] is better since it keeps me close", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 25, "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": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.775, "blue_efficiency": 0.2742, "S": 10, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.62, "edges_at_risk": 5, "mean_thickness": 1.6, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,1)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 1 ], "facing": "↗", "response_ms": 6956, "was_retry": false, "was_random": false, "note": "I'm at [1,2] facing ↖ (last step was from [1,1] to [1,2] which was GREY, W went from 1 to 2 since it created target (1,1)-(1,2)). Wait - I'm AT [1,2] facing ↓ per the prompt. Available moves show ↗ to", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "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": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7778, "blue_efficiency": 0.2698, "S": 10, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.61, "edges_at_risk": 5, "mean_thickness": 1.7, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 1 ], "facing": "←", "response_ms": 7561, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing ↗, moving ← to [1,1] which is BLUE. Edge (2,1)-(1,1) is already DONE thickness=2, so this adds thickness=3 but doesn't reduce W. W stays at 2. Targets: (0,0)-(1,0) and (1,1)-(1,2).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,2)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 27, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7805, "blue_efficiency": 0.2812, "S": 11, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.61, "edges_at_risk": 6, "mean_thickness": 1.636, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,1)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,1)-(1,2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 2 ], "facing": "↓", "response_ms": 6490, "was_retry": false, "was_random": false, "note": "I'm at [1,2] after completing target (1,1)-(1,2) as BLUE, W should now be 1. Remaining target: (0,0)-(1,0). From [1,2] facing ↓, I need to reach either [0,0] or [1,0] to traverse that edge. Best path:", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 28, "level": 4, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7711, "blue_efficiency": 0.2812, "S": 11, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.6, "edges_at_risk": 6, "mean_thickness": 1.636, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5455, "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": [ "(1,2)-(0,1)" ], "total_edges": 13, "position": [ 0, 1 ], "facing": "↖", "response_ms": 6890, "was_retry": false, "was_random": false, "note": "I'm at [0,1] after moving ↖ from [1,2] (GREY, likely created new edge (1,2)-(0,1) increasing W to 2). Remaining original target: (0,0)-(1,0). From [0,1] facing ↖, I need to reach [0,0] or [1,0]. Go ↑ ", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 1, "(1,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 29, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7738, "blue_efficiency": 0.2769, "S": 12, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.6, "edges_at_risk": 7, "mean_thickness": 1.583, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(0,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 0 ], "facing": "↑", "response_ms": 6128, "was_retry": false, "was_random": false, "note": "I'm at [0,0] after moving ↑ from [0,1] (BLUE, this completes target (0,0)-(1,0)? No - edge (0,1)-(0,0) is not a target). W still 2. Targets: (0,0)-(1,0) and (1,2)-(0,1). From [0,0] facing ↑, I need to", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "step": 30, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7765, "blue_efficiency": 0.2879, "S": 13, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.59, "edges_at_risk": 8, "mean_thickness": 1.538, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 0 ], "facing": "→", "response_ms": 6166, "was_retry": false, "was_random": false, "note": "I'm at [1,0] after moving → from [0,0] (BLUE, completing target (0,0)-(1,0), W should drop to 1). Remaining target: (1,2)-(0,1). I need to traverse edge from [1,2] to [0,1] or [0,1] to [1,2]. From [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)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(0,1)-(0,0)": 1 }, "target_stability": 0.6 }, { "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": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7791, "blue_efficiency": 0.2836, "S": 14, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.58, "edges_at_risk": 9, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(1,2)-(0,1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 0, 1 ], "facing": "↙", "response_ms": 6933, "was_retry": false, "was_random": false, "note": "I'm at [0,1] after moving ↙ from [1,0] (BLUE, but edge (1,0)-(0,1) is not the target - this adds thickness or is new). W still 1. Target: (1,2)-(0,1). From [0,1] I need to get to [1,2] to traverse edg", "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)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 32, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7701, "blue_efficiency": 0.2836, "S": 14, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.58, "edges_at_risk": 9, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 2 ], "facing": "↘", "response_ms": 6952, "was_retry": false, "was_random": false, "note": "I'm at [1,2] after moving ↘ from [0,1]. This is a GREY move creating new edge (0,1)-(1,2) - BUT WAIT, edge (1,2)-(0,1) is the TARGET! Check: moving from [0,1] to [1,2] traverses edge (0,1)-(1,2) which", "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)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 1, "(1,2)-(2,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 33, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7727, "blue_efficiency": 0.2794, "S": 14, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.57, "edges_at_risk": 8, "mean_thickness": 1.571, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 1, 1 ], "facing": "↑", "response_ms": 7025, "was_retry": false, "was_random": false, "note": "I'm at [1,1] after moving ↑ from [1,2] (BLUE, edge (1,2)-(1,1) already done, adds thickness). W still 1. Target: (1,2)-(0,1). I need to get from [1,1] to [0,1] then traverse [0,1] to [1,2] as BLUE. Fr", "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)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 2, "(1,2)-(2,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 34, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7753, "blue_efficiency": 0.2754, "S": 15, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.57, "edges_at_risk": 9, "mean_thickness": 1.533, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 1, "nearest_edge": "(1,2)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 0, 1 ], "facing": "←", "response_ms": 6976, "was_retry": false, "was_random": false, "note": "I'm at [0,1] after moving ← from [1,1] (BLUE, edge (1,1)-(0,1) - wait, check if this is a new edge or existing). Target: (1,2)-(0,1), W=1. From [0,1] I need to traverse to [1,2] via BLUE. Last time ↘ ", "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)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 2, "(1,2)-(2,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 35, "level": 4, "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": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7778, "blue_efficiency": 0.2714, "S": 15, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.56, "edges_at_risk": 9, "mean_thickness": 1.533, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,2)-(0,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,2)-(0,1)" ], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 16, "position": [ 1, 2 ], "facing": "↘", "response_ms": 6707, "was_retry": false, "was_random": false, "note": "I'm at [1,2] after moving ↘ from [0,1] - this is BLUE and should complete target edge (1,2)-(0,1)! W should drop to 0. If not, check W next turn. BITE fires this turn on oldest edge (0,0)-(1,0) thickn", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 2, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1 }, "target_stability": 0.2 }, { "step": 36, "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": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7802, "blue_efficiency": 0.2676, "S": 15, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.55, "edges_at_risk": 9, "mean_thickness": 1.6, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6, "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": 16, "position": [ 1, 1 ], "facing": "↑", "response_ms": 7160, "was_retry": false, "was_random": false, "note": "I'm at [1,2] facing ↘. W=1, target is (0,0)-(1,0). I need to traverse edge (0,0)-(1,0) as BLUE. Moving ↑ to [1,1] is BLUE (adds thickness to existing edge (1,2)-(1,1), doesn't reduce W but repositions", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 3, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 37, "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": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7826, "blue_efficiency": 0.2639, "S": 15, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.55, "edges_at_risk": 8, "mean_thickness": 1.667, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5333, "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": 16, "position": [ 0, 0 ], "facing": "↖", "response_ms": 6410, "was_retry": false, "was_random": false, "note": "I'm at [0,0] after moving ↖ from [1,1]. W=1, target is (0,0)-(1,0). I need to traverse edge (0,0)-(1,0) as BLUE. From [0,0] facing ↖, I need to move to [1,0] which is direction ↗. Check if ↗ is availa", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 3, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 38, "level": 4, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7742, "blue_efficiency": 0.2639, "S": 15, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.54, "edges_at_risk": 8, "mean_thickness": 1.667, "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": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,-1)" ], "total_edges": 17, "position": [ 1, -1 ], "facing": "↗", "response_ms": 7573, "was_retry": false, "was_random": false, "note": "Moving ↗ from [0,0] to [1,0] should complete target edge (0,0)-(1,0) as BLUE, reducing W from 1 to 0. BUT ↗ is listed as [GREY] not [BLUE]! This means the edge (0,0)-(1,0) already exists as TARGET but", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 3, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 39, "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": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7766, "blue_efficiency": 0.2603, "S": 16, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.54, "edges_at_risk": 9, "mean_thickness": 1.625, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5625, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, 0 ], "facing": "↓", "response_ms": 6614, "was_retry": false, "was_random": false, "note": "I'm at [1,-1] facing ↗. W=2, targets are (0,0)-(1,0) and (0,0)-(1,-1). Moving ↓ to [1,0] is BLUE - this traverses edge (1,-1)-(1,0) which is a new edge created as BLUE (adds to DONE but doesn't comple", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 3, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 40, "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": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7789, "blue_efficiency": 0.2703, "S": 17, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.53, "edges_at_risk": 10, "mean_thickness": 1.588, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5882, "d_min": 0, "d_mean": 0.75, "d_max": 1, "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": 18, "position": [ 0, 0 ], "facing": "←", "response_ms": 6591, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ↓. Moving ← to [0,0] is BLUE - this traverses edge (1,0)-(0,0) which is TARGET (0,0)-(1,0), completing it and reducing W from 2 to 1. From [0,0] facing ←, I cannot reverse (→ block", "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)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 3, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 41, "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": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7812, "blue_efficiency": 0.28, "S": 18, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.52, "edges_at_risk": 11, "mean_thickness": 1.556, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6111, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(0,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, -1 ], "facing": "↗", "response_ms": 4978, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ←. Moving ↗ to [1,-1] is BLUE and traverses edge (0,0)-(1,-1) which is the last TARGET. This should complete it, reducing W from 1 to 0. VICTORY! If somehow W≠0 after this, check m", "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)-(2,2)": 1, "(2,2)-(1,1)": 3, "(1,1)-(1,0)": 2, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 3, "(1,1)-(1,2)": 3, "(1,2)-(2,1)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(1,1)-(0,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 41, "event": "LEVEL_COMPLETE", "completed_level": 4, "new_level": 5, "cumulative_blue_at_transition": 75, "cumulative_total_at_transition": 96, "cumulative_w_reductions": 21 }, { "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": 0.7835, "blue_efficiency": 0.2763, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.52, "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": 7723, "was_retry": false, "was_random": false, "note": "I'm at [3,0]. Targets are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0) — these are the three edges along the top row. Moving ↙ to [2,1] is BLUE but creates a NEW edge (3,0)-(2,1), NOT a target edge. This inc", "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": 0.7857, "blue_efficiency": 0.2727, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.52, "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": 6882, "was_retry": false, "was_random": false, "note": "I'm at [2,1] moving ↑ to [2,0]. This is BLUE and completes target edge (2,0)-(2,1)... wait, no. The target is (2,0)-(3,0). Let me check: ↑ from [2,1] goes to [2,0], crossing edge (2,1)-(2,0) which is ", "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": 0.7879, "blue_efficiency": 0.2821, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.52, "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": 7295, "was_retry": false, "was_random": false, "note": "I'm at [2,0] facing ↑. Moving → to [3,0] is BLUE and crosses edge (2,0)-(3,0) which IS a target! This reduces W from 3 to 2. Remaining targets: (0,0)-(1,0) and (1,0)-(2,0). Now at [3,0] facing →, I ca", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 1, "B_blue": 0, "B_grey": 1, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.79, "blue_efficiency": 0.2785, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.52, "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": 8062, "was_retry": false, "was_random": false, "note": "I'm at [3,0] facing →. Moving ↙ to [2,1] is BLUE and crosses edge (3,0)-(2,1) which is already DONE (thickness=1), so this adds thickness to +2 but does NOT reduce W. This is wasteful. BUT looking at ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "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": 0.7822, "blue_efficiency": 0.2785, "S": 3, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.52, "edges_at_risk": 2, "mean_thickness": 1.333, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(2,1)-(3,2)" ], "total_edges": 6, "position": [ 3, 2 ], "facing": "↘", "response_ms": 7459, "was_retry": false, "was_random": false, "note": "I'm at [2,1] facing ↙, only move is ↘ to [3,2] which is GREY on a new edge (increases W to 3). This is bad but forced. From [3,2] I need to navigate back toward targets (0,0)-(1,0) and (1,0)-(2,0). Fr", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "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": 0.7843, "blue_efficiency": 0.275, "S": 4, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.51, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 0, "d_mean": 2.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,1)-(3,2)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 3, 1 ], "facing": "↑", "response_ms": 7597, "was_retry": false, "was_random": false, "note": "I'm at [3,2] facing ↘. Moving ↑ to [3,1] is BLUE - this creates a new edge (3,2)-(3,1) as completed, but wait, (2,1)-(3,2) is a TARGET! Actually that target was just created by my grey move. Let me re", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(3,2)-(3,1)": 1 }, "target_stability": 0.6 }, { "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": 0.7864, "blue_efficiency": 0.2716, "S": 5, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.51, "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": 1, "nearest_edge": "(2,1)-(3,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "↖", "response_ms": 7165, "was_retry": false, "was_random": false, "note": "I'm at [3,1] facing ↑. Moving ↖ to [2,0] is BLUE - this crosses edge (3,1)-(2,0) or (2,0)-(3,1). Wait, that's not a target. But ↖ is labeled BLUE so it reduces W somehow. Actually let me reconsider: t", "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": 0.6 }, { "step": 11, "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": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.25, "blue_ratio_cum": 0.7885, "blue_efficiency": 0.2805, "S": 6, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.5, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.33, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 0 ], "facing": "←", "response_ms": 6394, "was_retry": false, "was_random": false, "note": "I'm at [2,0] facing ↖. Moving ← to [1,0] is BLUE - this completes target edge (1,0)-(2,0), reducing W to 2. From [1,0] facing ←, I need to go ← to [0,0] to complete target (0,0)-(1,0), reducing W to 1", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(3,2)-(3,1)": 1, "(3,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "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": 0.781, "blue_efficiency": 0.2805, "S": 6, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.49, "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": 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": [ 0, 0 ], "facing": "←", "response_ms": 9146, "was_retry": false, "was_random": false, "note": "I'm at [1,0] facing ←. Moving ← to [0,0] is GREY (not BLUE), which means edge (0,0)-(1,0) is a TARGET but this move doesn't complete it - it crosses it as grey, which is bad! Wait, the target IS (0,0)", "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": 0.6 }, { "step": 13, "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": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.783, "blue_efficiency": 0.2771, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.49, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.75, "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": 9, "position": [ 1, 1 ], "facing": "↘", "response_ms": 7066, "was_retry": false, "was_random": false, "note": "I'm at [0,0] facing ↘ after moving from [1,0]. Wait - I was at [0,0] facing ← and moved ↘ to [1,1]. This is BLUE, completing edge (0,0)-(1,1) - but that's NOT a target, so this creates a new completed", "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, "(0,0)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 14, "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": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.785, "blue_efficiency": 0.2738, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.48, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 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, 1 ], "facing": "→", "response_ms": 6022, "was_retry": false, "was_random": false, "note": "I'm at [1,1] moving → to [2,1] as BLUE. This crosses edge (1,1)-(2,1). Check targets: (0,0)-(1,0) and (2,1)-(3,2). This edge is NOT a target, so W stays at 2 but I'm now at [2,1]. From [2,1] I need to", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1 }, "target_stability": 0.6 }, { "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": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7778, "blue_efficiency": 0.2738, "S": 8, "arrow": "↘", "is_blue": false, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.48, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 1.25, "d_max": 2, "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": 10, "position": [ 3, 2 ], "facing": "↘", "response_ms": 7537, "was_retry": false, "was_random": false, "note": "I'm at [2,1] moving ↘ to [3,2]. This is GREY, not BLUE - it crosses edge (2,1)-(3,2) which IS a target but as GREY it won't complete it! This is terrible. But all other moves don't complete targets ei", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 16, "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": 0.7798, "blue_efficiency": 0.2706, "S": 9, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.47, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "d_min": 0, "d_mean": 2.25, "d_max": 4, "cost_access": 0, "nearest_edge": "(2,1)-(3,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 2 ], "facing": "←", "response_ms": 6637, "was_retry": false, "was_random": false, "note": "I'm at [3,2] facing ↘. Targets: (0,0)-(1,0) and (2,1)-(3,2). Going ← to [2,2] is BLUE - this creates a new completed edge (3,2)-(2,2), not a target, but doesn't hurt W. From [2,2] I need to reach [2,1", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 1 }, "target_stability": 0.4 }, { "step": 17, "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": 0.7818, "blue_efficiency": 0.2674, "S": 10, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.46, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 1, "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": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 2, 1 ], "facing": "↑", "response_ms": 7460, "was_retry": false, "was_random": false, "note": "I'm at [2,2] going ↑ to [2,1] as BLUE. This crosses edge (2,2)-(2,1) which adds thickness to existing done edge (2,1)-(2,2) - wait, the done edge is (3,2)-(2,2) not (2,2)-(2,1). So this creates a NEW ", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 18, "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": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7838, "blue_efficiency": 0.2759, "S": 11, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.46, "edges_at_risk": 10, "mean_thickness": 1.091, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9091, "d_min": 0, "d_mean": 1.25, "d_max": 2, "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": 12, "position": [ 3, 2 ], "facing": "↘", "response_ms": 6674, "was_retry": false, "was_random": false, "note": "Going to [3,2] via BLUE crossing target edge (2,1)-(3,2) - this should reduce W from 2 to 1! Then need to reach target (0,0)-(1,0). From [3,2] I need to navigate toward (0,0)-(1,0). Path: from [3,2] g", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 19, "level": 5, "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": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7857, "blue_efficiency": 0.2727, "S": 11, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.45, "edges_at_risk": 9, "mean_thickness": 1.182, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8182, "d_min": 3, "d_mean": 3.5, "d_max": 4, "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": 12, "position": [ 2, 2 ], "facing": "←", "response_ms": 7503, "was_retry": false, "was_random": false, "note": "At [2,2] facing ←. W=1, target is (0,0)-(1,0). Path: from [2,2] go ↑ to [2,1] (existing DONE edge, GREY damages thickness but stays on known terrain), then ↑ to [2,0] (existing), then ← to [1,0] (exis", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 20, "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": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7876, "blue_efficiency": 0.2697, "S": 12, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.45, "edges_at_risk": 10, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 1 ], "facing": "↖", "response_ms": 7813, "was_retry": false, "was_random": false, "note": "At [1,1] facing ↖. W=1, target is (0,0)-(1,0). This BLUE move crossed edge (2,2)-(1,1) which is already DONE, so adds thickness (good but doesn't reduce W). From [1,1] I need to reach edge (0,0)-(1,0)", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,2)": 1, "(3,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 21, "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": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7895, "blue_efficiency": 0.2667, "S": 13, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.44, "edges_at_risk": 11, "mean_thickness": 1.154, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8462, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 1, 0 ], "facing": "↑", "response_ms": 6568, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↑. W=1, target is (0,0)-(1,0). Edge (1,1)-(1,0) is existing DONE, so this BLUE move adds thickness (doesn't reduce W but no harm). From [1,0] I need to cross edge (1,0)-(0,0) which is ", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 22, "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": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7826, "blue_efficiency": 0.2667, "S": 13, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.43, "edges_at_risk": 11, "mean_thickness": 1.154, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8462, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 14, "position": [ 0, 0 ], "facing": "←", "response_ms": 7180, "was_retry": false, "was_random": false, "note": "At [0,0] facing ←. W=1, target is (0,0)-(1,0). I went ← from [1,0] to [0,0] crossing edge (1,0)-(0,0) which IS the target edge (0,0)-(1,0). If this was GREY instead of BLUE, W may have increased. Chec", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 23, "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": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7759, "blue_efficiency": 0.2667, "S": 13, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.43, "edges_at_risk": 11, "mean_thickness": 1.154, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8462, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(0,0)-(1,-1)" ], "total_edges": 15, "position": [ 1, -1 ], "facing": "↗", "response_ms": 7998, "was_retry": false, "was_random": false, "note": "At [0,0] facing ←, I went ↗ to [1,-1] which crosses edge (0,0)-(1,-1) - this is a NEW edge and BLUE creates it completed, but it's NOT the target. Wait - ↗ goes to [1,-1], not [1,0]. The target is (0,", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,2)": 1, "(3,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 24, "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": 0.7778, "blue_efficiency": 0.2637, "S": 14, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.42, "edges_at_risk": 12, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 0.75, "d_max": 1, "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": 16, "position": [ 1, 0 ], "facing": "↓", "response_ms": 7092, "was_retry": false, "was_random": false, "note": "At [1,-1] facing ↗, moved ↓ to [1,0]. This crosses edge (1,-1)-(1,0) which is BLUE - creates new completed edge but doesn't help W. Now at [1,0]. W=2, targets are (0,0)-(1,0) and (0,0)-(1,-1). From [1", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,2)": 1, "(3,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 25, "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": 0.7797, "blue_efficiency": 0.2717, "S": 15, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.42, "edges_at_risk": 13, "mean_thickness": 1.133, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8667, "d_min": 0, "d_mean": 0.75, "d_max": 1, "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": 16, "position": [ 0, 0 ], "facing": "←", "response_ms": 10678, "was_retry": false, "was_random": false, "note": "At [1,0] facing ↓, moved ← to [0,0] crossing edge (1,0)-(0,0) = target (0,0)-(1,0) as BLUE! W should drop to 1. Remaining target: (0,0)-(1,-1). From [0,0] facing ←, I need to cross edge (0,0)-(1,-1). ", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,2)": 1, "(3,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 26, "level": 5, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 0, "B_blue": 0, "B_grey": 0, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7815, "blue_efficiency": 0.2796, "S": 16, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.41, "edges_at_risk": 14, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,-1)", "target_switch": true, "B_at_switch": 0, "newly_colored": [ "(0,0)-(1,-1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 1, -1 ], "facing": "↗", "response_ms": 4538, "was_retry": false, "was_random": false, "note": "At [0,0] facing ←, moved ↗ to [1,-1] crossing edge (0,0)-(1,-1) which is the LAST TARGET. ↗ is BLUE, so this should complete it and bring W to 0. VICTORY! If somehow W≠0 next turn, check map for any n", "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, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(3,2)-(2,2)": 2, "(2,2)-(2,1)": 1, "(2,2)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 26, "event": "LEVEL_COMPLETE", "completed_level": 5, "new_level": 6, "cumulative_blue_at_transition": 93, "cumulative_total_at_transition": 119, "cumulative_w_reductions": 26 }, { "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": 0.7833, "blue_efficiency": 0.2766, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.41, "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": 5690, "was_retry": false, "was_random": false, "note": "Target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). I'm at [3,0] and moved ↙ to [2,1], which should be BLUE. I need to get back to the line of targets. From [2,1], I need to reach edges along y=0 ", "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": 0.7851, "blue_efficiency": 0.2737, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.41, "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": 7739, "was_retry": false, "was_random": false, "note": "I'm at [2,1] moving ↑ to [2,0]. This is BLUE and crosses edge (2,0)-(2,1)... wait, that's not a target. Let me reconsider. The target edges are (0,0)-(1,0), (1,0)-(2,0), (2,0)-(3,0). Moving ↑ from [2,", "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": 0.7869, "blue_efficiency": 0.2812, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.41, "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": 8331, "was_retry": false, "was_random": false, "note": "I'm at [2,0] facing ↑. Moving → to [3,0] is BLUE and crosses edge (2,0)-(3,0) which is a TARGET. This should reduce W from 3 to 2. After this I'll be at [3,0] facing →. Remaining targets: (0,0)-(1,0) ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 0, "B_blue": 0, "B_grey": 0, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.7886, "blue_efficiency": 0.2784, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.41, "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": 7482, "was_retry": false, "was_random": false, "note": "I'm at [3,0] facing →. Moving ↙ to [2,1] crosses edge (3,0)-(2,1) which is already DONE thickness=1. This is marked BLUE so it adds thickness to 2, good for bite protection. But wait - I need to check", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 } ], "trajectory_summary": { "total_steps": 123, "levels_in_trajectory": 5, "W_initial": 3, "W_final": 2, "W_min": 0, "W_max": 4, "W_mean": 2, "total_edges_colored": 28, "total_edges_reverted": 2, "total_targets_created": 28, "expansion_steps": 16, "B_initial": 7, "B_final": 0, "B_min": 0, "B_max": 7, "B_mean": 6.65, "B_collapse_step": null, "rho_eff_mean": 0.1774, "rho_eff_final": 0.25, "epsilon_passive_mean": 0.0138, "epsilon_active_mean": 0.4844, "epsilon_total_mean": 0.4982, "rho_eq_epsilon_step": 4, "dW_positive_count": 11, "dW_negative_count": 27, "dW_zero_count": 85, "dW_mean": -0.1301, "blue_total": 97, "grey_total": 26, "blue_pct": 78.9, "w_reductions_total": 27, "blue_efficiency": 0.2784, "erosion_pressure_mean": 0.749, "erosion_pressure_max": 1.0, "W_inflection_step": null, "B_W_correlation": 0.1615, "d_min_mean": 0.46, "d_min_max": 3, "d_min_spike_step": 23, "d_min_at_W1": 0, "d_W_correlation": -0.0741, "cost_access_mean": 0.12, "cost_access_max": 1, "cost_spike_step": null, "cost_at_W1": 0, "cost_W_correlation": -0.0273, "dw_pos_ratio_when_far": 1.0, "target_switch_count": 67, "mean_B_at_switch": 6.7, "switch_to_drift_ratio": 0.299, "target_stability_mean": 0.541, "target_stability_max": 1.0, "target_instability_step": 5, "phases": [ { "start_step": 4, "end_step": 14, "n_steps": 24, "mean_dW": -0.208, "mean_B": 6.83, "mean_rho_eff": 0.189, "mean_eps_passive": 0.0, "mean_eps_active": 0.7587, "mean_rho_minus_eps": -0.5697, "mean_erosion_pressure": 0.7417, "blue_count": 21, "grey_count": 3, "w_reductions": 6, "expansions": 7, "reversions": 0, "mean_d_min": 0.46, "mean_cost_access": 0.08 }, { "start_step": 15, "end_step": 25, "n_steps": 24, "mean_dW": -0.083, "mean_B": 6.88, "mean_rho_eff": 0.1819, "mean_eps_passive": 0.0417, "mean_eps_active": 0.463, "mean_rho_minus_eps": -0.3228, "mean_erosion_pressure": 0.8534, 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(0,0)-(1,0) 2. (1,0)-(2,0) 3. 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"facing": "↓", "response_ms": 2448, "was_retry": false, "was_random": false, "note": "", "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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 2, "(2,1)-(1,1)": 1, "(1,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 2, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 39, "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": 0.3, "epsilon_passive": 0.3, "epsilon_active": 0.1, "epsilon_total": 0.4, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7647, "blue_efficiency": 0.3538, "S": 18, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.59, "edges_at_risk": 14, "mean_thickness": 1.222, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7778, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,2)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 0, 1 ], "facing": "←", "response_ms": 6371, "was_retry": false, "was_random": false, "note": "- TARGET (2,2)-(1,2): I need to traverse the edge between (2,2) and (1,2) - TARGET (0,1)-(0,0): I need to traverse the edge between (0,1) and (0,0) I'm at [1,1]. Let me think about how to reach these ", "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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 2, "(2,1)-(1,1)": 1, "(1,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 2, "(0,1)-(1,1)": 2 }, "target_stability": 0.6 }, { "step": 40, "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": 0.4, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7674, "blue_efficiency": 0.3636, "S": 19, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.58, "edges_at_risk": 15, "mean_thickness": 1.211, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7895, "d_min": 0, "d_mean": 1.25, "d_max": 2, "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": 20, "position": [ 0, 0 ], "facing": "↑", "response_ms": 2798, "was_retry": false, "was_random": false, "note": "", "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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 2, "(2,1)-(1,1)": 1, "(1,2)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 2, "(0,1)-(1,1)": 2 }, "target_stability": 0.8 }, { "step": 41, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.4, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7701, "blue_efficiency": 0.3582, "S": 19, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.58, "edges_at_risk": 14, "mean_thickness": 1.263, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7368, "d_min": 3, "d_mean": 3.0, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,2)-(1,2)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 1 ], "facing": "↘", "response_ms": 7631, "was_retry": false, "was_random": false, "note": "- W=1, meaning there's exactly one target edge left: (2,2)-(1,2) - I'm at position [0,0] facing ↑ - I need to reach either (2,2) or (1,2) to traverse that edge Let me trace a path. I'm at (0,0). The t", "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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 2, "(2,1)-(1,1)": 1, "(1,2)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 2, "(0,1)-(1,1)": 2 }, "target_stability": 0.8 }, { "step": 42, "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": 0.4, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7727, "blue_efficiency": 0.3529, "S": 19, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.57, "edges_at_risk": 13, "mean_thickness": 1.316, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,2)-(1,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 2 ], "facing": "↓", "response_ms": 2499, "was_retry": false, "was_random": false, "note": "", "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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 2, "(2,1)-(1,1)": 1, "(1,2)-(1,1)": 2, "(1,1)-(0,0)": 2, "(1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 2, "(0,1)-(1,1)": 2 }, "target_stability": 0.6 }, { "step": 43, "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": 0.4, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.764, "blue_efficiency": 0.3529, "S": 19, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.57, "edges_at_risk": 13, "mean_thickness": 1.316, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.6842, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,2)-(1,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 2, 2 ], "facing": "→", "response_ms": 8114, "was_retry": false, "was_random": false, "note": "The target edge is between (2,2) and (1,2). I'm at (1,2), so I need to move to (2,2) to traverse that edge. Looking at available moves: - → → [2, 2] [GREY] - This goes to (2,2), which would traverse t", "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)-(1,1)": 1, "(1,1)-(1,0)": 1, "(2,0)-(1,1)": 2, "(2,1)-(1,1)": 1, "(1,2)-(1,1)": 2, "(1,1)-(0,0)": 2, "(1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,0)-(1,-1)": 1, "(1,-1)-(2,0)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 2, "(0,1)-(1,1)": 2 }, "target_stability": 0.4 }, { "step": 44, "level": 4, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.0, "blue_ratio_cum": 0.7556, "blue_efficiency": 0.3529, "S": 19, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.56, "edges_at_risk": 13, "mean_thickness": 1.316, "max_thickness": 2, "min_thickness": 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0, "nearest_edge": "(1,-1)-(2,-2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 18, "position": [ 2, -3 ], "facing": "←", "response_ms": 3042, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 1 }, "target_stability": 0.4 }, { "step": 35, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.744, "blue_efficiency": 0.3441, "S": 14, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.38, "edges_at_risk": 8, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 1, "d_mean": 3.75, "d_max": 5, "cost_access": 0, "nearest_edge": "(1,-1)-(2,-2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 2, -2 ], "facing": "↓", "response_ms": 2565, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2 }, "target_stability": 0.4 }, { "step": 36, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7381, "blue_efficiency": 0.3441, "S": 14, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.37, "edges_at_risk": 8, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 0, "d_mean": 2.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,-1)-(2,-2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, -1 ], "facing": "↙", "response_ms": 7797, "was_retry": false, "was_random": false, "note": "1. TARGET (0,0)-(1,0) 2. TARGET (2,1)-(3,1) 3. TARGET (0,0)-(1,1) 4. TARGET (1,-1)-(2,-2) — this is the edge between (1,-1) and (2,-2), and I'm currently at (2,-2) Target 4 is directly adjacent to me!", "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)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2 }, "target_stability": 0.2 }, { "step": 37, "level": 5, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.1, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7323, "blue_efficiency": 0.3441, "S": 13, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.36, "edges_at_risk": 7, "mean_thickness": 1.538, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(1,-1)-(2,-2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,-1)" ], "new_targets_created": [], "total_edges": 18, "position": [ 0, 0 ], "facing": "↙", "response_ms": 2493, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2 }, "target_stability": 0.2 }, { "step": 38, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7266, "blue_efficiency": 0.3441, "S": 13, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.36, "edges_at_risk": 7, "mean_thickness": 1.538, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 1.3, "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": 18, "position": [ 1, 0 ], "facing": "→", "response_ms": 8475, "was_retry": false, "was_random": false, "note": "- (0,0)-(1,0) — that's moving → to [1,0] - (0,0)-(1,-1) — that's moving ↑ to [0,-1]... wait, let me check hex coordinates. - (0,0)-(1,1) — that's moving ↘ to [1,1]... but that's GREY Let me reconsider", "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)": 3, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2 }, "target_stability": 0.4 }, { "step": 39, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7287, "blue_efficiency": 0.3404, "S": 14, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.35, "edges_at_risk": 8, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 0, "d_mean": 1.2, "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": 19, "position": [ 0, -1 ], "facing": "↖", "response_ms": 6550, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1 }, "target_stability": 0.4 }, { "step": 40, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7308, "blue_efficiency": 0.3368, "S": 15, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.35, "edges_at_risk": 9, "mean_thickness": 1.467, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.6, "d_min": 1, "d_mean": 1.9, "d_max": 4, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 0, 0 ], "facing": "↓", "response_ms": 2639, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(1,-1)-(1,0)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 41, "level": 5, "cycle": 1, "W": 4, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7328, "blue_efficiency": 0.3438, "S": 16, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.34, "edges_at_risk": 10, "mean_thickness": 1.438, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.3, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 1, 1 ], "facing": "↘", "response_ms": 2644, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 42, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7348, "blue_efficiency": 0.3402, "S": 16, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.33, "edges_at_risk": 10, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 1, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 20, "position": [ 2, 1 ], "facing": "→", "response_ms": 6540, "was_retry": false, "was_random": false, "note": "**W=4 targets remaining:** 1. (0,0)-(1,0) 2. (2,1)-(3,1) 3. (0,0)-(1,-1) 4. (1,-1)-(2,-2) I'm at [1,1] facing ↘. Let me analyze the BLUE moves: - **→ to [2,1]**: Edge (1,1)-(2,1) is already DONE (thic", "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)": 3, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.2 }, { "step": 43, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.2, "epsilon_active": 0.0, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7293, "blue_efficiency": 0.3402, "S": 16, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.33, "edges_at_risk": 10, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.62, "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": 20, "position": [ 3, 1 ], "facing": "→", "response_ms": 2501, "was_retry": false, "was_random": false, "note": "", "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)": 3, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 44, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7313, "blue_efficiency": 0.3367, 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true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.23, "edges_at_risk": 15, "mean_thickness": 1.458, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 1, "d_mean": 2.33, "d_max": 3, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 0 ], "facing": "↖", "response_ms": 2548, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.8 }, { "step": 60, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7267, "blue_efficiency": 0.3303, "S": 24, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.23, "edges_at_risk": 15, "mean_thickness": 1.458, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 0, 0 ], "facing": "←", "response_ms": 8351, "was_retry": false, "was_random": false, "note": "1. TARGET (0,0)-(1,0) — I'm at (1,0), so moving to (0,0) would complete this. That's the ← direction to [0,0], but it's marked [GREY]. Wait, let me check... The edge (0,0)-(1,0) is a TARGET (not compl", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 61, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 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": 0.7285, "blue_efficiency": 0.3273, "S": 24, "arrow": "↘", "is_blue": true, "first_pass_valid": false, "bite_in": 4, "oxygen_pct": 99.22, "edges_at_risk": 14, "mean_thickness": 1.5, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5833, "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": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 27, "position": [ 1, 1 ], "facing": "↘", "response_ms": 6453, "was_retry": true, "was_random": false, "note": "1. **TARGET (0,0)-(1,0)** - I'm at (0,0), need to reach (1,0). That's the ↗ direction... but ↗ goes to (1,-1), not (1,0). Wait, let me check: from (0,0), which direction goes to (1,0)? Looking at the ", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 3, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 62, "level": 5, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.7303, "blue_efficiency": 0.3243, "S": 24, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.21, "edges_at_risk": 14, "mean_thickness": 1.542, 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false, "was_random": false, "note": "1. TARGET (0,0)-(1,0) - edge between (0,0) and (1,0) 2. TARGET (1,-1)-(2,-2) - edge between (1,-1) and (2,-2) 3. TARGET (-1,0)-(0,-1) - edge between (-1,0) and (0,-1) I'm at [-1, 1]. I need to reach a", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 1, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 67, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7325, "blue_efficiency": 0.3217, "S": 25, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.18, "edges_at_risk": 13, "mean_thickness": 1.6, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.52, "d_min": 0, "d_mean": 1.5, "d_max": 4, "cost_access": 0, "nearest_edge": "(-1,0)-(0,-1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 0, 0 ], "facing": "→", "response_ms": 6889, "was_retry": false, "was_random": false, "note": "1. TARGET (-1,0)-(0,-1) - I'm at (-1,0), need to reach (0,-1) 2. TARGET (-1,1)-(-1,0) - connects to my current position 3. TARGET (0,0)-(1,0) 4. TARGET (1,-1)-(2,-2) I'm at [-1, 0]. Let me check the a", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 68, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7278, "blue_efficiency": 0.3217, "S": 25, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.18, "edges_at_risk": 13, "mean_thickness": 1.6, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.52, "d_min": 0, "d_mean": 1.25, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 29, "position": [ 1, 0 ], "facing": "→", "response_ms": 6469, "was_retry": false, "was_random": false, "note": "1. **(0,0)-(1,0)** — I'm at (0,0), need to reach (1,0) which is direction →, but that's GREY (already exists, would damage thickness) 2. **(1,-1)-(2,-2)** — far away 3. **(-1,0)-(0,-1)** — need to con", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 69, "level": 5, "cycle": 1, "W": 4, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.1, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7296, "blue_efficiency": 0.319, "S": 26, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.17, "edges_at_risk": 14, "mean_thickness": 1.577, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 1.62, "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": 30, "position": [ 0, 1 ], "facing": "↙", "response_ms": 7977, "was_retry": false, "was_random": false, "note": "1. (0,0)-(1,0) - I'm at (1,0), need to reach (0,0) 2. (1,-1)-(2,-2) - need to traverse this edge 3. (-1,0)-(0,-1) - need to traverse this edge 4. (-1,1)-(-1,0) - need to traverse this edge I'm at [1,0", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.6 }, { "step": 70, "level": 5, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.2, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.725, "blue_efficiency": 0.319, "S": 26, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.17, "edges_at_risk": 14, "mean_thickness": 1.577, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 1, "d_mean": 1.62, "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": [ "(0,1)-(1,1)" ], "total_edges": 31, "position": [ 1, 1 ], "facing": "→", "response_ms": 6442, "was_retry": false, "was_random": false, "note": "1. TARGET (0,0)-(1,0) - I need to traverse edge between (0,0) and (1,0) 2. TARGET (1,-1)-(2,-2) - edge between (1,-1) and (2,-2) 3. TARGET (-1,0)-(0,-1) - edge between (-1,0) and (0,-1) 4. TARGET (-1,", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 71, "level": 5, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.3, "blue_ratio_cum": 0.7205, "blue_efficiency": 0.319, "S": 26, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.16, "edges_at_risk": 14, 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"(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1 }, "target_stability": 0.8 }, { "step": 77, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7246, "blue_efficiency": 0.3223, "S": 31, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.13, "edges_at_risk": 19, "mean_thickness": 1.484, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6129, "d_min": 1, "d_mean": 2.7, "d_max": 5, "cost_access": 1, "nearest_edge": "(0,2)-(1,3)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 36, "position": [ 0, 1 ], "facing": "↖", "response_ms": 2483, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1 }, "target_stability": 0.8 }, { "step": 78, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7262, "blue_efficiency": 0.3197, "S": 32, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.12, "edges_at_risk": 20, "mean_thickness": 1.469, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 1, "d_mean": 1.7, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ -1, 1 ], "facing": "←", "response_ms": 3012, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.8 }, { "step": 79, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7219, "blue_efficiency": 0.3197, "S": 32, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.11, "edges_at_risk": 20, "mean_thickness": 1.469, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 2.1, "d_max": 5, "cost_access": 0, "nearest_edge": "(-1,1)-(-1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ -1, 0 ], "facing": "↑", "response_ms": 8346, "was_retry": false, "was_random": false, "note": "**TARGET (-1,1)-(-1,0)** is directly adjacent to me! Moving ↑ goes to [-1, 0], but that's marked [GREY], which means the edge (-1,1)-(-1,0) is already completed... wait, no - it's listed as a TARGET, ", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 2, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 80, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7235, "blue_efficiency": 0.3171, "S": 32, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.11, "edges_at_risk": 20, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.8, "d_max": 4, "cost_access": 0, "nearest_edge": "(-1,0)-(0,-1)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 0, 0 ], "facing": "→", "response_ms": 6120, "was_retry": false, "was_random": false, "note": "1. TARGET (0,0)-(1,0) 2. TARGET (1,-1)-(2,-2) 3. TARGET (-1,0)-(0,-1) 4. TARGET (-1,1)-(-1,0) 5. TARGET (0,2)-(1,3) I'm at [-1, 0] facing ↑. Let me check the BLUE moves: - **→ → [0, 0]**: This crosses", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.8 }, { "step": 81, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7193, "blue_efficiency": 0.3171, "S": 32, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.1, "edges_at_risk": 20, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.625, "d_min": 0, "d_mean": 1.6, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 1, 0 ], "facing": "→", "response_ms": 8681, "was_retry": false, "was_random": false, "note": "1. **(0,0)-(1,0)** — I'm at (0,0), moving → goes to (1,0). But → is [GREY], meaning this edge is already done or something else. Wait, it's listed as TARGET. Let me re-check... → to [1,0] is [GREY] — ", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.8 }, { "step": 82, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.7151, "blue_efficiency": 0.3171, "S": 32, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.1, "edges_at_risk": 21, "mean_thickness": 1.469, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6562, "d_min": 0, "d_mean": 1.8, "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": 37, "position": [ 2, 0 ], "facing": "→", "response_ms": 7406, "was_retry": false, "was_random": false, "note": "1. **(0,0)-(1,0)** — I'm at (1,0). I need to move to (0,0) via this edge. That would be ↙ direction... but ↙ from (1,0) goes to (0,1), not (0,0). Let me think about hex coordinates. From (1,0): - → go", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 1, "(3,1)-(2,0)": 3, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 2, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 83, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7168, "blue_efficiency": 0.3145, "S": 32, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.09, "edges_at_risk": 21, "mean_thickness": 1.5, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.6562, "d_min": 1, "d_mean": 2.4, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 3, 1 ], "facing": "↘", "response_ms": 6247, "was_retry": false, "was_random": false, "note": "**Targets:** 1. (0,0)-(1,0) - need to traverse this edge 2. (1,-1)-(2,-2) - need to traverse this edge 3. (-1,0)-(0,-1) - need to traverse this edge 4. (-1,1)-(-1,0) - need to traverse this edge 5. 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(0,0)-(1,0) - I'm at [1,0], so going to [0,0] would cross this edge 2. (1,-1)-(2,-2) 3. (-1,0)-(0,-1) 4. (-1,1)-(-1,0) 5. (0,2)-(1,3) Target (0,0)-(1,0) is the closest - I'm at [1,0] and need to cr", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.2 }, { "step": 87, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7175, "blue_efficiency": 0.3071, "S": 32, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.07, "edges_at_risk": 19, "mean_thickness": 1.594, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5938, "d_min": 0, "d_mean": 1.6, "d_max": 4, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ -1, 1 ], "facing": "↙", "response_ms": 6561, "was_retry": false, "was_random": false, "note": "1. **(0,0)-(1,0)** - I'm at (0,0), need to reach (1,0) - that's the ↗ direction, but it's GREY 2. **(1,-1)-(2,-2)** - need to be at (1,-1) or (2,-2) 3. **(-1,0)-(0,-1)** - need to be at (-1,0) or (0,-", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 2, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.2 }, { "step": 88, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7135, "blue_efficiency": 0.3071, "S": 32, "arrow": "↑", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.06, "edges_at_risk": 19, "mean_thickness": 1.594, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5938, "d_min": 0, "d_mean": 2.1, "d_max": 5, "cost_access": 0, "nearest_edge": "(-1,1)-(-1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ -1, 0 ], "facing": "↑", "response_ms": 2959, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 3, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 2, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.4 }, { "step": 89, "level": 5, "cycle": 1, "W": 5, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 3, "B_grey": 3, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7151, "blue_efficiency": 0.3047, "S": 32, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.05, "edges_at_risk": 19, "mean_thickness": 1.625, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5938, "d_min": 0, "d_mean": 1.8, "d_max": 4, "cost_access": 0, "nearest_edge": "(-1,0)-(0,-1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 37, "position": [ 0, 0 ], "facing": "→", "response_ms": 5584, "was_retry": false, "was_random": false, "note": "1. TARGET (0,0)-(1,0) - need to traverse edge between (0,0) and (1,0) 2. TARGET (1,-1)-(2,-2) - need to traverse edge between (1,-1) and (2,-2) 3. 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But → is [GREY], so it won't complete this target edge. 2. **(1,-1)-(2,-2)** — need to traverse between those nodes. 3. **(-1,0)-(0,-1)** — n", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 94, "level": 5, "cycle": 1, "W": 5, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.712, "blue_efficiency": 0.3053, "S": 32, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.02, "edges_at_risk": 19, "mean_thickness": 1.688, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5938, "d_min": 0, "d_mean": 1.75, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(1,0)-(2,0)" ], "new_targets_created": [], "total_edges": 37, "position": [ 2, 0 ], "facing": "→", "response_ms": 6881, "was_retry": false, "was_random": false, "note": "1. **(0,0)-(1,0)** — I'm at (1,0). I need to move to (0,0) to complete this edge, but that direction isn't available. 2. **(1,-1)-(2,-2)** — Need to traverse this edge. 3. **(-1,0)-(0,-1)** — Need to ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1 }, "target_stability": 0.6 }, { "step": 95, "level": 5, "cycle": 1, "W": 6, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, 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"response_ms": 7021, "was_retry": false, "was_random": false, "note": "- W=5 with targets at (0,0)-(1,0), (1,0)-(2,0), (1,-1)-(2,-2), (-1,0)-(0,-1), (0,2)-(1,3) - I need to get closer to target edges Let me analyze the BLUE moves: - ↖ → [3,0]: This crosses edge (4,1)-(3,", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 1, "(4,1)-(3,0)": 1 }, "target_stability": 0.6 }, { "step": 105, "level": 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"edges_at_risk": 22, "mean_thickness": 1.649, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5946, "d_min": 1, "d_mean": 3.25, "d_max": 5, "cost_access": 1, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 43, "position": [ 3, 1 ], "facing": "↙", "response_ms": 2643, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 1, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 1 }, "target_stability": 0.6 }, { "step": 107, "level": 5, "cycle": 1, "W": 6, "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": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7157, "blue_efficiency": 0.2979, "S": 37, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 98.95, "edges_at_risk": 21, "mean_thickness": 1.676, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5676, "d_min": 1, "d_mean": 2.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 43, "position": [ 4, 1 ], "facing": "→", "response_ms": 6731, "was_retry": false, "was_random": false, "note": "1. TARGET (4,1)-(5,1) - I'm adjacent to (4,1). Moving → takes me to [4,1]. 2. TARGET (0,0)-(1,0) - far away 3. TARGET (1,0)-(2,0) - far away 4. TARGET (1,-1)-(2,-2) - far away 5. TARGET (-1,0)-(0,-1) ", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 2, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 1 }, "target_stability": 0.6 }, { "step": 108, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7172, "blue_efficiency": 0.2958, "S": 38, "arrow": "↗", "is_blue": true, "first_pass_valid": false, "bite_in": 19, "oxygen_pct": 98.94, "edges_at_risk": 22, "mean_thickness": 1.658, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5789, "d_min": 0, "d_mean": 3.08, "d_max": 5, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 44, "position": [ 5, 0 ], "facing": "↗", "response_ms": 6445, "was_retry": true, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 2, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 1, "(4,1)-(5,0)": 1 }, "target_stability": 0.4 }, { "step": 109, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.2, "epsilon_total": 0.2, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7186, "blue_efficiency": 0.2937, "S": 39, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 98.93, "edges_at_risk": 23, "mean_thickness": 1.641, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5897, "d_min": 1, "d_mean": 3.92, "d_max": 6, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 4, 0 ], "facing": "←", "response_ms": 2753, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 2, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 1, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 110, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.72, "blue_efficiency": 0.2917, "S": 39, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 98.93, "edges_at_risk": 22, "mean_thickness": 1.667, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5641, "d_min": 1, "d_mean": 3.25, "d_max": 5, "cost_access": 1, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, 1 ], "facing": "↙", "response_ms": 2463, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 2, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 2, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 111, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7214, "blue_efficiency": 0.2897, "S": 39, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 98.92, "edges_at_risk": 22, "mean_thickness": 1.692, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5641, "d_min": 1, "d_mean": 2.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 4, 1 ], "facing": "→", "response_ms": 7311, "was_retry": false, "was_random": false, "note": "Current position: [3, 1], facing ↙ Targets: 1. (0,0)-(1,0) - far away 2. (1,0)-(2,0) - far away 3. (1,-1)-(2,-2) - far away 4. (-1,0)-(0,-1) - far away 5. (0,2)-(1,3) - far away 6. (4,1)-(5,1) - nearb", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 3, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 2, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 112, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7178, "blue_efficiency": 0.2897, "S": 39, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 98.92, "edges_at_risk": 22, "mean_thickness": 1.692, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5641, "d_min": 0, "d_mean": 3.08, "d_max": 5, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 5, 1 ], "facing": "→", "response_ms": 7862, "was_retry": false, "was_random": false, "note": "**TARGET (4,1)-(5,1)** is right here! But → to [5,1] is GREY, not BLUE. That's strange. Let me check the other options: - ↖ to [3,0] is BLUE - edge (4,1)-(3,0) already exists as DONE with thickness=1,", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 3, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 1, "(4,0)-(3,1)": 2, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 113, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.7192, "blue_efficiency": 0.2877, "S": 39, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 98.91, "edges_at_risk": 21, "mean_thickness": 1.718, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 3.83, "d_max": 6, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 4, 0 ], "facing": "↖", "response_ms": 2634, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, 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21, "mean_thickness": 1.744, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 1, "d_mean": 3.25, "d_max": 5, "cost_access": 1, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, 1 ], "facing": "↙", "response_ms": 2773, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 3, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 115, "level": 5, "cycle": 1, "W": 6, "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": 0.722, "blue_efficiency": 0.2838, "S": 39, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 98.9, "edges_at_risk": 21, "mean_thickness": 1.769, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 1, "d_mean": 2.75, "d_max": 4, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 4, 1 ], "facing": "→", "response_ms": 7094, "was_retry": false, "was_random": false, "note": "**Targets:** 1. (0,0)-(1,0) 2. (1,0)-(2,0) 3. (1,-1)-(2,-2) 4. (-1,0)-(0,-1) 5. (0,2)-(1,3) 6. (4,1)-(5,1) I'm at [3,1] facing ↙. **Target 6: (4,1)-(5,1)** - This is nearby. I can see that (4,1) and (", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 4, "(4,1)-(3,0)": 1, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 116, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7233, "blue_efficiency": 0.2819, "S": 39, "arrow": "↖", "is_blue": true, "first_pass_valid": false, "bite_in": 11, "oxygen_pct": 98.89, "edges_at_risk": 20, "mean_thickness": 1.795, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5128, "d_min": 0, "d_mean": 3.08, "d_max": 5, "cost_access": 0, "nearest_edge": "(4,1)-(5,1)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 3, 0 ], "facing": "↖", "response_ms": 7808, "was_retry": true, "was_random": true, "note": "(random fallback)", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 4, "(4,1)-(3,0)": 2, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.2 }, { "step": 117, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7246, "blue_efficiency": 0.28, "S": 39, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 98.89, "edges_at_risk": 19, "mean_thickness": 1.821, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.4872, "d_min": 1, "d_mean": 2.5, "d_max": 4, "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": 45, "position": [ 2, 0 ], "facing": "←", "response_ms": 3563, "was_retry": false, "was_random": false, "note": "", "thickness_map": { "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 4, "(4,1)-(3,0)": 2, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.4 }, { "step": 118, "level": 5, "cycle": 1, "W": 6, "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": 0.7212, "blue_efficiency": 0.28, "S": 39, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 98.88, "edges_at_risk": 19, "mean_thickness": 1.821, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.4872, "d_min": 0, "d_mean": 2.0, "d_max": 4, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ 1, 0 ], "facing": "←", "response_ms": 6618, "was_retry": false, "was_random": false, "note": "1. (1,0)-(2,0) - adjacent to my position [2,0] 2. (0,0)-(1,0) - near me 3. (1,-1)-(2,-2) - south area 4. (-1,0)-(0,-1) - west area 5. (0,2)-(1,3) - north area 6. (4,1)-(5,1) - east area I'm at [2,0] f", "thickness_map": { "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 4, "(4,1)-(3,0)": 2, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.4 }, { "step": 119, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7177, "blue_efficiency": 0.28, "S": 39, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 98.88, "edges_at_risk": 19, "mean_thickness": 1.821, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.4872, "d_min": 0, "d_mean": 1.83, "d_max": 4, "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": 45, "position": [ 0, 0 ], "facing": "←", "response_ms": 6684, "was_retry": false, "was_random": false, "note": "1. (0,0)-(1,0) - I'm at (1,0), need to reach (0,0) 2. (1,0)-(2,0) - I'm at (1,0), need to reach (2,0) 3. (1,-1)-(2,-2) 4. (-1,0)-(0,-1) 5. (0,2)-(1,3) 6. (4,1)-(5,1) I'm at [1,0]. The target (0,0)-(1,", "thickness_map": { "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 5, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 4, "(4,1)-(3,0)": 2, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.6 }, { "step": 120, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.7143, "blue_efficiency": 0.28, "S": 39, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 98.87, "edges_at_risk": 19, "mean_thickness": 1.795, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.4872, "d_min": 0, "d_mean": 2.08, "d_max": 5, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 45, "position": [ -1, 0 ], "facing": "←", "response_ms": 5951, "was_retry": false, "was_random": false, "note": "**Targets:** 1. (0,0)-(1,0) - I'm at (0,0), need to reach (1,0) 2. (1,0)-(2,0) - adjacent to target 1 3. (1,-1)-(2,-2) 4. (-1,0)-(0,-1) 5. (0,2)-(1,3) 6. (4,1)-(5,1) I'm at (0,0) facing ←. **Target (-", "thickness_map": { "(2,0)-(3,0)": 2, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(3,1)": 2, "(3,1)-(2,0)": 4, "(0,0)-(1,-1)": 1, "(1,-1)-(1,0)": 1, "(0,0)-(1,1)": 2, "(1,1)-(2,1)": 4, "(2,0)-(1,1)": 2, "(2,-2)-(3,-3)": 1, "(3,-3)-(2,-3)": 2, "(2,-3)-(3,-2)": 1, "(3,-2)-(3,-3)": 1, "(2,-3)-(2,-2)": 2, "(1,0)-(0,-1)": 1, "(0,-1)-(0,0)": 2, "(0,0)-(-1,0)": 4, "(-1,0)-(0,1)": 1, "(0,1)-(0,0)": 1, "(0,-1)-(1,-1)": 2, "(1,-1)-(2,0)": 1, "(2,1)-(1,0)": 3, "(0,0)-(-1,1)": 3, "(-1,1)-(-1,0)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(0,2)": 1, "(0,2)-(0,1)": 1, "(1,3)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(-1,1)": 1, "(3,0)-(3,1)": 2, "(3,1)-(4,1)": 4, "(4,1)-(3,0)": 2, "(5,1)-(4,0)": 2, "(4,0)-(3,1)": 3, "(4,1)-(5,0)": 1, "(5,0)-(4,0)": 1 }, "target_stability": 0.6 }, { "step": 121, "level": 5, "cycle": 1, "W": 6, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 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"grey_count": 8, "w_reductions": 9, "expansions": 12, "reversions": 0, "mean_d_min": 0.5, "mean_cost_access": 0.12 }, { "start_step": 20, "end_step": 38, "n_steps": 42, "mean_dW": -0.095, "mean_B": 6.79, "mean_rho_eff": 0.242, "mean_eps_passive": 0.0619, "mean_eps_active": 0.3495, "mean_rho_minus_eps": -0.1694, "mean_erosion_pressure": 0.8555, "blue_count": 30, "grey_count": 12, "w_reductions": 14, "expansions": 9, "reversions": 4, "mean_d_min": 0.4, "mean_cost_access": 0.12 }, { "start_step": 39, "end_step": 36, "n_steps": 42, "mean_dW": -0.024, "mean_B": 6.71, "mean_rho_eff": 0.2145, "mean_eps_passive": 0.0405, "mean_eps_active": 0.3701, "mean_rho_minus_eps": -0.1961, "mean_erosion_pressure": 0.7273, "blue_count": 29, "grey_count": 13, "w_reductions": 9, "expansions": 10, "reversions": 1, "mean_d_min": 0.36, "mean_cost_access": 0.07 }, { "start_step": 37, "end_step": 78, "n_steps": 42, "mean_dW": 0.024, "mean_B": 6.74, "mean_rho_eff": 0.169, "mean_eps_passive": 0.0643, "mean_eps_active": 0.1238, "mean_rho_minus_eps": -0.019, "mean_erosion_pressure": 0.5864, "blue_count": 29, "grey_count": 13, "w_reductions": 7, "expansions": 6, "reversions": 2, "mean_d_min": 0.36, "mean_cost_access": 0.17 }, { "start_step": 79, "end_step": 120, "n_steps": 42, "mean_dW": 0.024, "mean_B": 6.6, "mean_rho_eff": 0.0929, "mean_eps_passive": 0.0476, "mean_eps_active": 0.069, "mean_rho_minus_eps": -0.0238, "mean_erosion_pressure": 0.5773, "blue_count": 28, "grey_count": 14, "w_reductions": 3, "expansions": 2, "reversions": 2, "mean_d_min": 0.45, "mean_cost_access": 0.07 }, { "start_step": 121, "end_step": 121, "n_steps": 1, "mean_dW": 0, "mean_B": 7, "mean_rho_eff": 0.0, "mean_eps_passive": 0.0, "mean_eps_active": 0.0, "mean_rho_minus_eps": 0.0, "mean_erosion_pressure": 0.4615, "blue_count": 1, "grey_count": 0, "w_reductions": 0, "expansions": 0, "reversions": 0, "mean_d_min": 0, "mean_cost_access": 0 } ], "retry_count": 7, "random_fallback_count": 2, "first_pass_valid_pct": 96.7, "mean_response_ms": 3673.1 } } ]