[ { "run_id": "35988f37", "runner_version": "4.4", "timestamp": "2026-03-04T23:51:15.213707", "provider": "google_pro", "model": "gemini-3.1-pro-preview", "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": false, "termination_reason": "error", "final_cycle": 1, "final_level": 7, "total_steps": 3, "final_oxygen": 99.41, "total_tokens_in": 145971, "total_tokens_out": 6245, "total_cache_read": 0, "total_retries": 0, "shapes_count": 6, "shapes": [ { "c": 1, "l": 1, "step": 35 }, { "c": 1, "l": 2, "step": 17 }, { "c": 1, "l": 3, "step": 15 }, { "c": 1, "l": 4, "step": 17 }, { "c": 1, "l": 5, "step": 18 }, { "c": 1, "l": 6, "step": 39 } ], "bridge_stats": { "total_moves": 123, "blue_moves": 113, "grey_moves": 10, "blue_pct": 91.9, "max_grey_streak": 3, "w_max": 3, "w_min": 0, "w_final": 0, "levels_cleared": 6, "notes_sample": [ "LEVEL 6 COMPLETE! Well done. NEW LEVEL 7 starting. The map is completely new — a" ] }, "notes_history": [ { "step": 3, "text": "LEVEL 6 COMPLETE! Well done. NEW LEVEL 7 starting. The map is completely new — all previous targets and positions are GONE. Read the new map carefully. Your only goal: W=0." } ], "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": 11379, "was_retry": false, "was_random": false, "note": "Moved ↙ towards [2,1] to bypass reversal constraint. Next move ↑ or ↖ to get back to x-axis behind targets.", "thickness_map": { "(3,0)-(2,1)": 1 }, "target_stability": null }, { "step": 5, "level": 1, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 1.5, "epsilon_total": 1.5, "rho_minus_epsilon": -1.5, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0, "S": 2, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 100, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 0 ], "facing": "↖", "response_ms": 16891, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0]. Next move ← to [0,0] to complete target, then will need to route back for the remaining targets on x-axis.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 1.0 }, { "step": 6, "level": 1, "cycle": 1, "W": 2, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3333, "epsilon_passive": 0.0, "epsilon_active": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -0.6667, "blue_ratio_cum": 1.0, "blue_efficiency": 0.3333, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 100, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(1,0)-(2,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 2, 0 ], "facing": "→", "response_ms": 9835, "was_retry": false, "was_random": false, "note": "Moved → to [2,0] to complete a target edge and reduce W. Next step: move → again to [3,0] to complete the next target on the axis. Then I will need to path back to (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 1.0, "blue_efficiency": 0.25, "S": 4, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 100, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 2, 1 ], "facing": "↓", "response_ms": 20743, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,1] using a BLUE move to avoid W increase, positioning to move ↖ to [1,0] along the existing DONE edge, to eventually reach the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 1, "(2,0)-(2,1)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 1.0, "blue_efficiency": 0.2, "S": 4, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.99, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 0 ], "facing": "↖", "response_ms": 7172, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0] (BLUE) to traverse a DONE edge (adding thickness) and position exactly at one end of the TARGET (0,0)-(1,0). Next step: move to [0,0] to complete this target.", "thickness_map": { "(1,0)-(2,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 9, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 1.0, "blue_efficiency": 0.1667, "S": 4, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.99, "edges_at_risk": 2, "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": 6, "position": [ 2, 0 ], "facing": "→", "response_ms": 9474, "was_retry": false, "was_random": false, "note": "Moved → to [2,0] (BLUE) to add thickness to the existing DONE edge and position myself to target (2,0)-(3,0) on the next turn. The move ← to [0,0] was GREY and wouldn't complete the target.", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.4286, "epsilon_total": 0.4286, "rho_minus_epsilon": -0.2857, "blue_ratio_cum": 1.0, "blue_efficiency": 0.1429, "S": 4, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.98, "edges_at_risk": 1, "mean_thickness": 1.75, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.25, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 2, 1 ], "facing": "↓", "response_ms": 9534, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,1] (BLUE) along an existing DONE edge to add thickness and avoid creating a new target. Next step: navigate towards [3,0] to attempt completing the TARGET (2,0)-(3,0) from the opposite d", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 2, "(2,0)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 11, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.125, "epsilon_passive": 0.0, "epsilon_active": 0.375, "epsilon_total": 0.375, "rho_minus_epsilon": -0.25, "blue_ratio_cum": 1.0, "blue_efficiency": 0.125, "S": 4, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.98, "edges_at_risk": 1, "mean_thickness": 2, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.25, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 0 ], "facing": "↖", "response_ms": 6871, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0] (BLUE) to add thickness to DONE edge (2,1)-(1,0) and reach [1,0], positioning me perfectly to complete TARGET (0,0)-(1,0) on the next turn. Avoided ↗ to [3,0] because it's GREY and wo", "thickness_map": { "(1,0)-(2,0)": 2, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 12, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1111, "epsilon_passive": 0.0, "epsilon_active": 0.3333, "epsilon_total": 0.3333, "rho_minus_epsilon": -0.2222, "blue_ratio_cum": 1.0, "blue_efficiency": 0.1111, "S": 4, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.97, "edges_at_risk": 1, "mean_thickness": 2.25, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.25, "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": 6, "position": [ 2, 0 ], "facing": "→", "response_ms": 12197, "was_retry": false, "was_random": false, "note": "Moved → to [2,0] (BLUE) to increase thickness on (1,0)-(2,0) and position myself at [2,0] to attempt completing TARGET (2,0)-(3,0) on the next turn. Avoided ← to [0,0] as it was GREY and wouldn't comp", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 13, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 1.0, "blue_efficiency": 0.1, "S": 5, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.96, "edges_at_risk": 2, "mean_thickness": 2, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 3, 1 ], "facing": "↘", "response_ms": 11805, "was_retry": false, "was_random": false, "note": "Moved ↘ to [3,1] (BLUE) to create a new completed edge without increasing W, positioning to reach [3,0] next turn to hopefully complete TARGET (2,0)-(3,0) from the opposite side. Avoiding → to [3,0] a", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 14, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0909, "S": 6, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.96, "edges_at_risk": 3, "mean_thickness": 1.833, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 1 ], "facing": "←", "response_ms": 9344, "was_retry": false, "was_random": false, "note": "Move to [2,1] (BLUE) to approach targets via existing completed edges, avoiding GREY moves that would increase W. Next step: navigate toward [2,0] or [1,0] to reach the remaining targets.", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 3, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 15, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0833, "S": 6, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.95, "edges_at_risk": 3, "mean_thickness": 2, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "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": 8, "position": [ 1, 0 ], "facing": "↖", "response_ms": 9745, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0] (BLUE) to build thickness on existing edge and position adjacent to TARGET (0,0)-(1,0). Next step: move ← or ↙ toward (0,0) to complete the target edge and reduce W.", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 16, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0769, "S": 6, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.95, "edges_at_risk": 3, "mean_thickness": 2.167, "max_thickness": 4, "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": [ 2, 0 ], "facing": "→", "response_ms": 9672, "was_retry": false, "was_random": false, "note": "Moved → to [2,0] (BLUE) to build thickness and approach TARGET (2,0)-(3,0). From [2,0], try to find a BLUE move to [3,0] to complete the target, or navigate back to complete (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 1, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 17, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0714, "S": 6, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.94, "edges_at_risk": 2, "mean_thickness": 2.333, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.3333, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 3, 1 ], "facing": "↘", "response_ms": 9737, "was_retry": false, "was_random": false, "note": "Moved ↘ to [3,1] (BLUE) to build thickness on (2,0)-(3,1) and try to reach [3,0] to complete the target (2,0)-(3,0) with a BLUE move.", "thickness_map": { "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 18, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0667, "S": 7, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.93, "edges_at_risk": 3, "mean_thickness": 2.143, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.4286, "d_min": 1, "d_mean": 2.0, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 2 ], "facing": "↙", "response_ms": 17497, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,2] (BLUE) to head leftward toward x=1 and x=0 targets without creating a new non-completed edge. Next, try to move ↑ or ↖ to reach [2,1], [1,0], or [2,0] to approach the remaining TARGET", "thickness_map": { "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1 }, "target_stability": 0.4 }, { "step": 19, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0625, "S": 8, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.93, "edges_at_risk": 4, "mean_thickness": 2, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 2, "d_mean": 2.25, "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": 10, "position": [ 2, 1 ], "facing": "↑", "response_ms": 7588, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,1] (BLUE) to reach the center of the remaining targets. Next step, move ↖ to [1,0] or ↗/↑ to [2,0] to approach the final targets (0,0)-(1,0) and (2,0)-(3,0).", "thickness_map": { "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 1, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 1.0, "blue_efficiency": 0.0588, "S": 8, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.92, "edges_at_risk": 3, "mean_thickness": 2.125, "max_thickness": 4, "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": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 3, 0 ], "facing": "↗", "response_ms": 8553, "was_retry": false, "was_random": false, "note": "Moved ↗ to [3,0] (BLUE) to reach one end of the target (2,0)-(3,0). Next step, move ← to [2,0] to complete that target with a BLUE move.", "thickness_map": { "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9444, "blue_efficiency": 0.0588, "S": 8, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.92, "edges_at_risk": 3, "mean_thickness": 2.125, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.375, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 2, 0 ], "facing": "←", "response_ms": 13425, "was_retry": false, "was_random": false, "note": "Moved ← to [2,0] (GREY) because it travels along the uncompleted target edge without creating new edges, keeping W flat. From [2,0], try to reach [1,0] to color the (0,0)-(1,0) target, or find a way t", "thickness_map": { "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 22, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.8947, "blue_efficiency": 0.0588, "S": 8, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.91, "edges_at_risk": 3, "mean_thickness": 2, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.375, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 0 ], "facing": "←", "response_ms": 9113, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0] (GREY) to navigate towards the target edge (0,0)-(1,0). Next step, move ← to [0,0] to complete the target with a BLUE move.", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 23, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.85, "blue_efficiency": 0.0588, "S": 8, "arrow": "←", "is_blue": false, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.9, "edges_at_risk": 3, "mean_thickness": 2, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.375, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 0, 0 ], "facing": "←", "response_ms": 9357, "was_retry": false, "was_random": false, "note": "Moved ← to [0,0] (GREY) traversing the target edge (0,0)-(1,0) without coloring it. Next step, move → back to [1,0] to color the edge with a BLUE move if possible, completing the target.", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 24, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.8571, "blue_efficiency": 0.0556, "S": 9, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.9, "edges_at_risk": 4, "mean_thickness": 1.889, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.4444, "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": 11698, "was_retry": false, "was_random": false, "note": "Moved ↘ to [1,1] (BLUE) to avoid reversing, while keeping W flat. Next step, move ↑ to [1,0], then ← to [0,0] to color the (0,0)-(1,0) target.", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 25, "level": 1, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.8636, "blue_efficiency": 0.0526, "S": 10, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.89, "edges_at_risk": 5, "mean_thickness": 1.8, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.75, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 0 ], "facing": "↑", "response_ms": 9099, "was_retry": false, "was_random": false, "note": "Moved ↑ to [1,0] (BLUE). Next step, move ← to [0,0] to complete the (0,0)-(1,0) target with a BLUE move.", "thickness_map": { "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 26, "level": 1, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.8696, "blue_efficiency": 0.1, "S": 11, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.89, "edges_at_risk": 6, "mean_thickness": 1.727, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5455, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 0 ], "facing": "←", "response_ms": 6606, "was_retry": false, "was_random": false, "note": "Moved ← to [0,0], completing the (0,0)-(1,0) target. Next remaining target is (2,0)-(3,0). Next step, move ↘ to [1,0], then navigate towards [2,0] to color the final target.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 27, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.875, "blue_efficiency": 0.0952, "S": 11, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.88, "edges_at_risk": 5, "mean_thickness": 1.818, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.4545, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 1 ], "facing": "↘", "response_ms": 8766, "was_retry": false, "was_random": false, "note": "Moved ↘ to [1,1]. Next, move ↗ to [2,0] then → to [3,0] to color the final target (2,0)-(3,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 28, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.88, "blue_efficiency": 0.0909, "S": 12, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.88, "edges_at_risk": 6, "mean_thickness": 1.75, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 2, "d_mean": 2.0, "d_max": 2, "cost_access": 1, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "↗", "response_ms": 7901, "was_retry": false, "was_random": false, "note": "Moved ↗ to [2,0]. Next step, move → to [3,0] to complete the final target (2,0)-(3,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 3, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 29, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.8846, "blue_efficiency": 0.087, "S": 12, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.87, "edges_at_risk": 6, "mean_thickness": 1.833, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 1, 0 ], "facing": "←", "response_ms": 20400, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0]. Next, navigate via ↘ to [2,1] then ↗ to [3,0] to approach the final target (2,0)-(3,0) from the right, avoiding a 180-degree turn, then color it with ←.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 4, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 30, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.8889, "blue_efficiency": 0.0833, "S": 12, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.86, "edges_at_risk": 6, "mean_thickness": 1.917, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 1 ], "facing": "↘", "response_ms": 7319, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1]. Next move ↑ to [2,0], then → to [3,0] to win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(2,1)": 2, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 31, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.8929, "blue_efficiency": 0.08, "S": 12, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.86, "edges_at_risk": 6, "mean_thickness": 2, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "↑", "response_ms": 8747, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next step, move to [3,0] to complete the final target (2,0)-(3,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(2,1)": 3, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 32, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.8621, "blue_efficiency": 0.08, "S": 12, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.85, "edges_at_risk": 6, "mean_thickness": 2, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 3, 0 ], "facing": "→", "response_ms": 12034, "was_retry": false, "was_random": false, "note": "Moved → to [3,0]. Next step, move ← to [2,0] as BLUE to complete the final target (2,0)-(3,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 2, "(2,1)-(1,0)": 5, "(2,0)-(2,1)": 3, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 33, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.8667, "blue_efficiency": 0.0769, "S": 12, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.85, "edges_at_risk": 6, "mean_thickness": 2.083, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 1 ], "facing": "↙", "response_ms": 6961, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1]. Next move ↑ to [2,0], then → to [3,0] to complete the final target (2,0)-(3,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 3, "(2,1)-(1,0)": 5, "(2,0)-(2,1)": 3, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 34, "level": 1, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.871, "blue_efficiency": 0.0741, "S": 12, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.84, "edges_at_risk": 6, "mean_thickness": 2.167, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 2, 0 ], "facing": "↑", "response_ms": 4160, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next step, move → to [3,0] to complete the final target (2,0)-(3,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(3,0)-(2,1)": 3, "(2,1)-(1,0)": 5, "(2,0)-(2,1)": 4, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 35, "level": 1, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.875, "blue_efficiency": 0.1071, "S": 13, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.83, "edges_at_risk": 7, "mean_thickness": 2.077, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5385, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 3, 0 ], "facing": "→", "response_ms": 4368, "was_retry": false, "was_random": false, "note": "Completed the final target to win!", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 4, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 3, "(2,1)-(1,0)": 5, "(2,0)-(2,1)": 4, "(2,0)-(3,1)": 2, "(3,1)-(2,1)": 1, "(3,1)-(2,2)": 1, "(2,2)-(2,1)": 1, "(0,0)-(1,1)": 2, "(1,1)-(1,0)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 35, "event": "LEVEL_COMPLETE", "completed_level": 1, "new_level": 2, "cumulative_blue_at_transition": 28, "cumulative_total_at_transition": 32, "cumulative_w_reductions": 3 }, { "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": 0.8788, "blue_efficiency": 0.1034, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 33, "oxygen_pct": 99.83, "edges_at_risk": 1, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(2,0)-(3,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [ "(1,0)-(2,0)", "(0,0)-(1,0)", "(2,0)-(3,0)" ], "total_edges": 4, "position": [ 2, 1 ], "facing": "↙", "response_ms": 7615, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1]. Next, move ↖ to [2,0] to start completing the target edges (2,0)-(3,0), (1,0)-(2,0), (0,0)-(1,0).", "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": 0.8824, "blue_efficiency": 0.1, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.83, "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": 13116, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next, figure out the most efficient path to cover (2,0)-(3,0), (1,0)-(2,0), and (0,0)-(1,0) without unnecessary GREY moves.", "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": 0.8857, "blue_efficiency": 0.129, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.83, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.83, "d_max": 2, "cost_access": 0, "nearest_edge": "(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": 10055, "was_retry": false, "was_random": false, "note": "Moved → to [3,0] to complete the target (2,0)-(3,0). Next, navigate towards [1,0] and [0,0] to complete the remaining targets (1,0)-(2,0) and (0,0)-(1,0). Try to find blue paths if possible.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 2, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.8889, "blue_efficiency": 0.125, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.83, "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": 8230, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1]. Next, move ↖ to [2,0], then proceed ← towards [1,0] to complete the remaining target edges (1,0)-(2,0) and (0,0)-(1,0).", "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": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.8919, "blue_efficiency": 0.1212, "S": 4, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.83, "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": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 0 ], "facing": "↖", "response_ms": 8914, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0]. Next, target the remaining edges (0,0)-(1,0) and (1,0)-(2,0) by moving ← or →.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 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": 0.8947, "blue_efficiency": 0.1176, "S": 5, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.82, "edges_at_risk": 4, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, -1 ], "facing": "↗", "response_ms": 10011, "was_retry": false, "was_random": false, "note": "Moved ↗ to [2,-1] to create a blue path toward completing the targets (1,0)-(2,0) and (0,0)-(1,0) from the other side, since direct moves were GREY.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1 }, "target_stability": 0.4 }, { "step": 10, "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": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.4286, "epsilon_total": 0.4286, "rho_minus_epsilon": -0.2857, "blue_ratio_cum": 0.8974, "blue_efficiency": 0.1143, "S": 6, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.82, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 1, "d_mean": 1.75, "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": 8, "position": [ 2, 0 ], "facing": "↓", "response_ms": 10504, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,0]. Next, move ← to [1,0] to complete the target (1,0)-(2,0), which will reduce W. Then proceed to (0,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 11, "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": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.375, "epsilon_total": 0.375, "rho_minus_epsilon": -0.125, "blue_ratio_cum": 0.9, "blue_efficiency": 0.1389, "S": 7, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.81, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(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": 6242, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0] to complete the target (1,0)-(2,0). Next, move ← to [0,0] to complete the final target (0,0)-(1,0) and win the game.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 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": 0.9024, "blue_efficiency": 0.1351, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.8, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 0, -1 ], "facing": "↖", "response_ms": 8129, "was_retry": false, "was_random": false, "note": "Moved ↖ to [0,-1] because ← to [0,0] is GREY. Will navigate from [0,-1] to [0,0] and then → to [1,0] to color the target edge (0,0)-(1,0) BLUE.", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,0)-(0,-1)": 1 }, "target_stability": 0.4 }, { "step": 13, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.9048, "blue_efficiency": 0.1316, "S": 9, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.8, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "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": [ 1, -1 ], "facing": "→", "response_ms": 17659, "was_retry": false, "was_random": false, "note": "Moved → to [1,-1] (BLUE) to loop around without creating non-completed edges (which GREY moves do). Next, move towards [0,0] or [1,0] to traverse the final target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(1,-1)": 1 }, "target_stability": 0.4 }, { "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": 0.907, "blue_efficiency": 0.1282, "S": 10, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.79, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "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": 11, "position": [ 0, 0 ], "facing": "↙", "response_ms": 10607, "was_retry": false, "was_random": false, "note": "Move to [0,0], then traverse to [1,0] to complete the final target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(1,-1)": 1, "(1,-1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 15, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.9091, "blue_efficiency": 0.125, "S": 11, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.79, "edges_at_risk": 10, "mean_thickness": 1.091, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9091, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, -1 ], "facing": "↑", "response_ms": 12368, "was_retry": false, "was_random": false, "note": "Moved ↑ to [0,-1] to reposition and approach the target (0,0)-(1,0) from a different angle, hoping for a BLUE move across 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)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,0)-(0,-1)": 1, "(0,-1)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(0,0)-(0,-1)": 1 }, "target_stability": 0.4 }, { "step": 16, "level": 2, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9111, "blue_efficiency": 0.122, "S": 11, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.78, "edges_at_risk": 9, "mean_thickness": 1.182, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8182, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(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": 9826, "was_retry": false, "was_random": false, "note": "Moved ↘ to [1,0]. Next, move ← to [0,0] to complete the final target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,0)-(0,-1)": 2, "(0,-1)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(0,0)-(0,-1)": 1 }, "target_stability": 0.2 }, { "step": 17, "level": 2, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.913, "blue_efficiency": 0.1429, "S": 12, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.77, "edges_at_risk": 10, "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": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 0, 0 ], "facing": "←", "response_ms": 5194, "was_retry": false, "was_random": false, "note": "Move ← to [0,0] completes the final target (0,0)-(1,0). Victory!", "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)-(1,0)": 1, "(1,0)-(2,-1)": 1, "(2,-1)-(2,0)": 1, "(1,0)-(0,-1)": 2, "(0,-1)-(1,-1)": 1, "(1,-1)-(0,0)": 1, "(0,0)-(0,-1)": 1 }, "target_stability": 0.2 }, { "step": 17, "event": "LEVEL_COMPLETE", "completed_level": 2, "new_level": 3, "cumulative_blue_at_transition": 42, "cumulative_total_at_transition": 46, "cumulative_w_reductions": 6 }, { "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": 0.9149, "blue_efficiency": 0.1395, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 32, "oxygen_pct": 99.77, "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": 12858, "was_retry": false, "was_random": false, "note": "Moving ↙ to [2,1] to loop back towards [0,0], so I can sweep the targets (0,0) -> (1,0) -> (2,0) -> (3,0) left to right.", "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": 0.9167, "blue_efficiency": 0.1364, "S": 2, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 31, "oxygen_pct": 99.77, "edges_at_risk": 2, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 5, "position": [ 1, 1 ], "facing": "←", "response_ms": 13715, "was_retry": false, "was_random": false, "note": "Moved ← to [1,1] to maneuver to [0,0]. Next step, move ↖ to [0,0] so we can sweep the target line → to [1,0], [2,0], [3,0] without reversing direction. NO REVERSAL prevents completing a line from the ", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 1.0 }, { "step": 6, "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": 1.0, "epsilon_total": 1.0, "rho_minus_epsilon": -1.0, "blue_ratio_cum": 0.9184, "blue_efficiency": 0.1333, "S": 3, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.77, "edges_at_risk": 3, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.67, "d_max": 2, "cost_access": 1, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 0, 0 ], "facing": "↖", "response_ms": 8555, "was_retry": false, "was_random": false, "note": "Moved ↖ to [0,0]. Next, move → to [1,0] to complete the first target in the sequence, continuing rightwards to [2,0] and [3,0]. Keep sweeping right.", "thickness_map": { "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.667 }, { "step": 7, "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": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.92, "blue_efficiency": 0.1522, "S": 4, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.77, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 0 ], "facing": "→", "response_ms": 3555, "was_retry": false, "was_random": false, "note": "Moved → to [1,0]. Next step is to move → to [2,0] to complete the second target, and then continue → to [3,0] to finish all targets. Keep sweeping right.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.5 }, { "step": 8, "level": 3, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.6, "epsilon_total": 0.6, "rho_minus_epsilon": -0.4, "blue_ratio_cum": 0.9216, "blue_efficiency": 0.1489, "S": 5, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.77, "edges_at_risk": 5, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, 1 ], "facing": "↘", "response_ms": 28741, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1] to maneuver around the grey target edge. Next, move ↑ to [2,0] to reach the target sequence, then we can sweep to [3,0] or back to [1,0] as BLUE.", "thickness_map": { "(0,0)-(1,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 3, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.1667, "epsilon_active": 0.5, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.9038, "blue_efficiency": 0.1489, "S": 4, "arrow": "↗", "is_blue": false, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.76, "edges_at_risk": 4, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(3,0)-(2,1)" ], "new_targets_created": [], "total_edges": 7, "position": [ 3, 0 ], "facing": "↗", "response_ms": 17134, "was_retry": false, "was_random": false, "note": "Moved ↗ to [3,0] to position at the end of the target line. Next, move ← to [2,0] and then ← to [1,0] to sweep both targets in one pass without 180 reversal.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 10, "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": 0.2857, "epsilon_passive": 0.1429, "epsilon_active": 0.4286, "epsilon_total": 0.5714, "rho_minus_epsilon": -0.2857, "blue_ratio_cum": 0.9057, "blue_efficiency": 0.1667, "S": 5, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.76, "edges_at_risk": 5, "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": "(2,0)-(3,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,0)-(3,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 2, 0 ], "facing": "←", "response_ms": 5340, "was_retry": false, "was_random": false, "note": "Moved ← to [2,0] to complete target (2,0)-(3,0). Next, move ← to [1,0] to complete target (1,0)-(2,0), and then find a way to reach target (3,0)-(2,1).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 11, "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": 0.25, "epsilon_passive": 0.125, "epsilon_active": 0.375, "epsilon_total": 0.5, "rho_minus_epsilon": -0.25, "blue_ratio_cum": 0.9074, "blue_efficiency": 0.1633, "S": 6, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.75, "edges_at_risk": 6, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 1 ], "facing": "↓", "response_ms": 14054, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,1] (BLUE) to position next to target (3,0)-(2,1). Next, move to [3,0] to complete that target, then path towards [1,0] to complete the final target (1,0)-(2,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(2,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 12, "level": 3, "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": 0.3333, "epsilon_passive": 0.1111, "epsilon_active": 0.3333, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.1111, "blue_ratio_cum": 0.9091, "blue_efficiency": 0.18, "S": 7, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.74, "edges_at_risk": 7, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.75, "d_max": 1, "cost_access": 0, "nearest_edge": "(3,0)-(2,1)", "target_switch": true, "B_at_switch": 6, "newly_colored": [ "(3,0)-(2,1)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 3, 0 ], "facing": "↗", "response_ms": 8121, "was_retry": false, "was_random": false, "note": "Moved ↗ to [3,0] to complete target (3,0)-(2,1). Next, move ← to [2,0] to approach the final target (1,0)-(2,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(2,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 13, "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": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.3, "epsilon_total": 0.4, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.9107, "blue_efficiency": 0.1765, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.74, "edges_at_risk": 8, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, -1 ], "facing": "↖", "response_ms": 8986, "was_retry": false, "was_random": false, "note": "Moved ↖ to [2,-1]. Next, move ↙ to [1,0] or ↓ to [2,0] to reach the final target (1,0)-(2,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(2,0)-(2,1)": 1, "(3,0)-(2,-1)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 3, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.9123, "blue_efficiency": 0.1731, "S": 9, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.73, "edges_at_risk": 9, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 0 ], "facing": "↙", "response_ms": 5303, "was_retry": false, "was_random": false, "note": "Moved ↙ to [1,0]. Next, move → to [2,0] to complete the final target (1,0)-(2,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(2,0)-(2,1)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.6 }, { "step": 15, "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": 0.4, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.9138, "blue_efficiency": 0.1887, "S": 10, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.73, "edges_at_risk": 10, "mean_thickness": 1, "max_thickness": 1, "min_thickness": 1, "erosion_pressure": 1.0, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(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": 10, "position": [ 2, 0 ], "facing": "→", "response_ms": 4134, "was_retry": false, "was_random": false, "note": "Moving → to [2,0] to complete the final target (1,0)-(2,0) and win the level.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(2,0)-(2,1)": 1, "(3,0)-(2,-1)": 1, "(2,-1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 15, "event": "LEVEL_COMPLETE", "completed_level": 3, "new_level": 4, "cumulative_blue_at_transition": 53, "cumulative_total_at_transition": 58, "cumulative_w_reductions": 10 }, { "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": 0.9153, "blue_efficiency": 0.1852, "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": 8418, "was_retry": false, "was_random": false, "note": "Path to targets: Loop around to reach x=0,1,2 since ← is not allowed. Moved ↙ to [2,1]. Next, move ↖ or ← to continue looping left towards the targets.", "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": 0.9167, "blue_efficiency": 0.1818, "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": 8583, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0] to reach the line of targets on y=0. From [2,0], plan to move ← to [1,0] and then ← to [0,0] to complete the remaining targets.", "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": 0.918, "blue_efficiency": 0.1964, "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": 7525, "was_retry": false, "was_random": false, "note": "Moved → to [3,0] to complete the target (2,0)-(3,0). Next, find a path to reach the remaining targets at (0,0)-(1,0) and (1,0)-(2,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 1, "(2,1)-(2,0)": 1 }, "target_stability": 1.0 }, { "step": 7, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.9194, "blue_efficiency": 0.193, "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": 13192, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1] to double back using existing edges. Next, move ↑ to [2,0] to be able to move ← and complete the remaining targets at (1,0)-(2,0) and (0,0)-(1,0).", "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": 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": 0.9206, "blue_efficiency": 0.1897, "S": 4, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.72, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "d_min": 1, "d_mean": 1.25, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 6, "position": [ 1, 1 ], "facing": "←", "response_ms": 10778, "was_retry": false, "was_random": false, "note": "Moved ← to [1,1] using a BLUE move to avoid increasing W. Next, move towards [1,0] or [0,0] to complete the remaining targets at (1,0)-(2,0) and (0,0)-(1,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 4, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.3333, "blue_ratio_cum": 0.9219, "blue_efficiency": 0.1864, "S": 5, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.71, "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": [ 0, 0 ], "facing": "↖", "response_ms": 8302, "was_retry": false, "was_random": false, "note": "Moved ↖ to [0,0] to set up a straight path → to [1,0] and → to [2,0], which will complete the two remaining targets in sequence without needing to reverse.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 10, "level": 4, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2857, "epsilon_passive": 0.0, "epsilon_active": 0.4286, "epsilon_total": 0.4286, "rho_minus_epsilon": -0.1429, "blue_ratio_cum": 0.9231, "blue_efficiency": 0.2, "S": 6, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.71, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 7, "position": [ 1, 0 ], "facing": "→", "response_ms": 5408, "was_retry": false, "was_random": false, "note": "Moved → to [1,0] to complete the first target. Next step: move → again to [2,0] to complete the final target and win!", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1 }, "target_stability": 0.4 }, { "step": 11, "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": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.375, "epsilon_total": 0.375, "rho_minus_epsilon": -0.125, "blue_ratio_cum": 0.9242, "blue_efficiency": 0.1967, "S": 7, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.7, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 1 ], "facing": "↓", "response_ms": 16704, "was_retry": false, "was_random": false, "note": "Moved ↓ to [1,1] using a BLUE move since → to [2,0] was GREY. Next, move to [2,0] (e.g., via ↗) and attempt to complete the remaining target (1,0)-(2,0) by moving ←.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 1, "(1,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 12, "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": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.3333, "epsilon_total": 0.3333, "rho_minus_epsilon": -0.1111, "blue_ratio_cum": 0.9254, "blue_efficiency": 0.1935, "S": 7, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.7, "edges_at_risk": 5, "mean_thickness": 1.286, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 0, 0 ], "facing": "↖", "response_ms": 12739, "was_retry": false, "was_random": false, "note": "Moved ↖ to [0,0] via BLUE move to add thickness and avoid creating new grey targets. Next, move → to [1,0], then → to [2,0] to complete the final target (1,0)-(2,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 13, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.3, "epsilon_total": 0.3, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.9265, "blue_efficiency": 0.1905, "S": 7, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.69, "edges_at_risk": 4, "mean_thickness": 1.429, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 1, 0 ], "facing": "→", "response_ms": 4965, "was_retry": false, "was_random": false, "note": "Moved → to [1,0]. Next step is to move → to [2,0] to complete the target (1,0)-(2,0) and win.", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 14, "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": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.913, "blue_efficiency": 0.1905, "S": 7, "arrow": "→", "is_blue": false, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.68, "edges_at_risk": 4, "mean_thickness": 1.429, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "→", "response_ms": 12702, "was_retry": false, "was_random": false, "note": "Moved → [GREY] to [2,0] crossing the target edge without completing it. Next, loop through existing DONE edges (e.g., [2,1], [1,1], [1,0]) to approach (1,0)-(2,0) again and try to complete it with a B", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 15, "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": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.9143, "blue_efficiency": 0.1875, "S": 7, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.68, "edges_at_risk": 3, "mean_thickness": 1.571, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.4286, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 1 ], "facing": "↓", "response_ms": 8952, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,1] via BLUE move to add thickness. Next, move towards [1,1] and then [1,0] to approach the final target (1,0)-(2,0) again and complete it.", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 16, "level": 4, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9155, "blue_efficiency": 0.1846, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.67, "edges_at_risk": 4, "mean_thickness": 1.5, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 0 ], "facing": "↖", "response_ms": 8370, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0] via BLUE move. Next step is to move → to [2,0] to complete the final target (1,0)-(2,0) and win!", "thickness_map": { "(0,0)-(1,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(1,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 17, "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": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.9167, "blue_efficiency": 0.197, "S": 9, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.67, "edges_at_risk": 5, "mean_thickness": 1.444, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5556, "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": 9, "position": [ 2, 0 ], "facing": "→", "response_ms": 3639, "was_retry": false, "was_random": false, "note": "Moved → to [2,0] to complete the final target (1,0)-(2,0). W should now be 0.", "thickness_map": { "(0,0)-(1,0)": 2, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(1,1)": 1, "(1,1)-(0,0)": 2, "(1,0)-(1,1)": 1, "(2,1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 17, "event": "LEVEL_COMPLETE", "completed_level": 4, "new_level": 5, "cumulative_blue_at_transition": 66, "cumulative_total_at_transition": 72, "cumulative_w_reductions": 13 }, { "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": 0.9178, "blue_efficiency": 0.194, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.67, "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": 6897, "was_retry": false, "was_random": false, "note": "Move ↙ to [2,1], then plan to move ↖ to [2,0], then → to [3,0] to complete the target (2,0)-(3,0). Minimize grey moves. Keep heading back to [2,0].", "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": 0.9189, "blue_efficiency": 0.1912, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.67, "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": 7157, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next, target ← to [1,0] or → to [3,0] to complete the remaining target edges. Keep tracking W and minimizing new edges.", "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": 0.92, "blue_efficiency": 0.2029, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.67, "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": 6808, "was_retry": false, "was_random": false, "note": "Moved → to [3,0] to complete the (2,0)-(3,0) target. Next, navigate back toward [1,0] to complete the remaining targets (1,0)-(2,0) and (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": 5, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 4, "B_blue": 0, "B_grey": 4, "rho_eff": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.75, "epsilon_total": 0.75, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.9211, "blue_efficiency": 0.2, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.67, "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": 6950, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1] to increase thickness on (3,0)-(2,1) and navigate back toward [2,0] and the remaining targets at [1,0] and [0,0].", "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": 0.9091, "blue_efficiency": 0.2, "S": 3, "arrow": "↙", "is_blue": false, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.66, "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": 11282, "was_retry": false, "was_random": false, "note": "Moved ↙ to [1,2] to loop back toward x=1. Next, move ↑ or ↖ toward [1,0] to reach the remaining targets (1,0)-(2,0) and (0,0)-(1,0).", "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": 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": 0.9103, "blue_efficiency": 0.1972, "S": 4, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.65, "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": [ 0, 1 ], "facing": "↖", "response_ms": 8767, "was_retry": false, "was_random": false, "note": "Moved ↖ to [0,1] to safely approach [0,0] and [1,0] without increasing W. Next, move towards targets at y=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(0,1)": 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": 0.9114, "blue_efficiency": 0.1944, "S": 5, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.65, "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": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 0, 0 ], "facing": "↑", "response_ms": 8992, "was_retry": false, "was_random": false, "note": "Moved ↑ to [0,0] to set up a path through the remaining targets (0,0)-(1,0) and (1,0)-(2,0) on the y=0 line. Next step should be moving towards [1,0].", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 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": 0.9125, "blue_efficiency": 0.2055, "S": 6, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.64, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(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": 8, "position": [ 1, 0 ], "facing": "→", "response_ms": 5367, "was_retry": false, "was_random": false, "note": "Moved → to [1,0] to complete the target (0,0)-(1,0). Next, move → to [2,0] to complete the adjacent target (1,0)-(2,0).", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 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": 0.9136, "blue_efficiency": 0.2027, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.64, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 1 ], "facing": "↘", "response_ms": 13638, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1] to set up a direct path to the target (2,1)-(1,2). Next step: move ↙ to [1,2] to complete this target.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 13, "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": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.1, "blue_ratio_cum": 0.9146, "blue_efficiency": 0.2133, "S": 8, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.63, "edges_at_risk": 7, "mean_thickness": 1.125, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.875, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(1,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [ "(2,1)-(1,2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 2 ], "facing": "↙", "response_ms": 4601, "was_retry": false, "was_random": false, "note": "Moved ↙ to [1,2] to complete the target (2,1)-(1,2). The last remaining target is (1,0)-(2,0). Next, navigate towards [1,0] or [2,0] to complete it.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 5, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.9157, "blue_efficiency": 0.2105, "S": 9, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.63, "edges_at_risk": 8, "mean_thickness": 1.111, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8889, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 1 ], "facing": "↑", "response_ms": 19120, "was_retry": false, "was_random": false, "note": "Moved ↑ to [1,1] as a shortcut towards the final target. Next, move ↑ to [1,0], then → to [2,0] to complete the target (1,0)-(2,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.6 }, { "step": 15, "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": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.2, "blue_ratio_cum": 0.9167, "blue_efficiency": 0.2078, "S": 10, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.62, "edges_at_risk": 9, "mean_thickness": 1.1, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.9, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 1, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 0 ], "facing": "↗", "response_ms": 14009, "was_retry": false, "was_random": false, "note": "Moved ↗ to [2,0] (BLUE) to reach an endpoint of the final target without increasing W. Next step: move to [1,0] to complete the target (1,0)-(2,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,1)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(1,2)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 16, "level": 5, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9176, "blue_efficiency": 0.2051, "S": 10, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.61, "edges_at_risk": 8, "mean_thickness": 1.2, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 2, 1 ], "facing": "↓", "response_ms": 32893, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,1] to maneuver around the blocked 180-turn. Next, move ↖ to [1,0] (following the existing edge), then complete the final target (1,0)-(2,0) to win.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 1, "(1,2)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 17, "level": 5, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9186, "blue_efficiency": 0.2025, "S": 10, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.61, "edges_at_risk": 7, "mean_thickness": 1.3, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 1, 0 ], "facing": "↖", "response_ms": 4515, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0] over an existing edge. Next step: move to [2,0] to complete the final target (1,0)-(2,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 2, "(1,2)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.4 }, { "step": 18, "level": 5, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.3, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.3, "blue_ratio_cum": 0.9195, "blue_efficiency": 0.2125, "S": 11, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.6, "edges_at_risk": 8, "mean_thickness": 1.273, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7273, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(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": 11, "position": [ 2, 0 ], "facing": "→", "response_ms": 3631, "was_retry": false, "was_random": false, "note": "Moved → to [2,0] to complete the final target (1,0)-(2,0) and win.", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,1)-(1,2)": 1, "(1,2)-(0,1)": 1, "(0,1)-(0,0)": 1, "(1,0)-(2,1)": 2, "(1,2)-(1,1)": 1, "(1,1)-(2,0)": 1 }, "target_stability": 0.2 }, { "step": 18, "event": "LEVEL_COMPLETE", "completed_level": 5, "new_level": 6, "cumulative_blue_at_transition": 80, "cumulative_total_at_transition": 87, "cumulative_w_reductions": 17 }, { "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": 0.9205, "blue_efficiency": 0.2099, "S": 1, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.6, "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": 12794, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1] to turn around and approach [2,0]-[3,0] or [1,0]-[2,0]. Next move: ↑ to [2,0], then ← to hit targets.", "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": 0.9213, "blue_efficiency": 0.2073, "S": 2, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.6, "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": 8885, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next move should be → to [3,0] or ← to [1,0] to complete the targets on y=0.", "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": 0.9222, "blue_efficiency": 0.2169, "S": 3, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.6, "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": 6179, "was_retry": false, "was_random": false, "note": "Moved → to [3,0] completing target (2,0)-(3,0). Next, maneuver back towards [1,0] to complete the remaining targets (1,0)-(2,0) and (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": 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": 0.9231, "blue_efficiency": 0.2143, "S": 3, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.6, "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": 30643, "was_retry": false, "was_random": false, "note": "Moved ↙ to [2,1]. Next move MUST be ↑ to [2,0], then ← to [1,0] and ← to [0,0] to complete the remaining targets on y=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.75 }, { "step": 8, "level": 6, "cycle": 1, "W": 3, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 1, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.8, "epsilon_total": 0.8, "rho_minus_epsilon": -0.6, "blue_ratio_cum": 0.913, "blue_efficiency": 0.2143, "S": 3, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.6, "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": 8253, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,2]. Next move should route towards [1,0] (e.g., via ↖ then ↑) to reach the remaining targets on y=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 9, "level": 6, "cycle": 1, "W": 3, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1667, "epsilon_passive": 0.0, "epsilon_active": 0.6667, "epsilon_total": 0.6667, "rho_minus_epsilon": -0.5, "blue_ratio_cum": 0.914, "blue_efficiency": 0.2118, "S": 4, "arrow": "↗", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.59, "edges_at_risk": 3, "mean_thickness": 1.25, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.75, "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": [], "total_edges": 7, "position": [ 3, 1 ], "facing": "↗", "response_ms": 13436, "was_retry": false, "was_random": false, "note": "Moved ↗ to [3,1] (BLUE) to avoid creating non-completed edges. Next, move ↖ to [2,0] then ← to [1,0] to complete the remaining targets on y=0.", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,2)-(3,1)": 1 }, "target_stability": 0.6 }, { "step": 10, "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": 0.1429, "epsilon_passive": 0.0, "epsilon_active": 0.5714, "epsilon_total": 0.5714, "rho_minus_epsilon": -0.4286, "blue_ratio_cum": 0.9149, "blue_efficiency": 0.2093, "S": 5, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 23, "oxygen_pct": 99.58, "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)-(2,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 8, "position": [ 2, 0 ], "facing": "↖", "response_ms": 11453, "was_retry": false, "was_random": false, "note": "Moved ↖ to [2,0]. Next move MUST be ← to [1,0] to complete the target (1,0)-(2,0), followed by ← to [0,0] to complete (0,0)-(1,0).", "thickness_map": { "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 11, "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": 0.25, "epsilon_passive": 0.0, "epsilon_active": 0.5, "epsilon_total": 0.5, "rho_minus_epsilon": -0.25, "blue_ratio_cum": 0.9158, "blue_efficiency": 0.2184, "S": 6, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 22, "oxygen_pct": 99.58, "edges_at_risk": 5, "mean_thickness": 1.167, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8333, "d_min": 0, "d_mean": 1.17, "d_max": 2, "cost_access": 0, "nearest_edge": "(1,0)-(2,0)", "target_switch": 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": 5120, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0]. Next move MUST be ← to [0,0] to complete the target (0,0)-(1,0), then navigate towards (2,1)-(2,2).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1 }, "target_stability": 0.6 }, { "step": 12, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2222, "epsilon_passive": 0.0, "epsilon_active": 0.4444, "epsilon_total": 0.4444, "rho_minus_epsilon": -0.2222, "blue_ratio_cum": 0.9167, "blue_efficiency": 0.2159, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 21, "oxygen_pct": 99.57, "edges_at_risk": 6, "mean_thickness": 1.143, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.8571, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 1 ], "facing": "↘", "response_ms": 11430, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1]. Next move should be towards [2,2] to complete the target (2,1)-(2,2), after which we must navigate back to complete (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, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 13, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.4, "epsilon_total": 0.4, "rho_minus_epsilon": -0.2, "blue_ratio_cum": 0.9175, "blue_efficiency": 0.2135, "S": 7, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 20, "oxygen_pct": 99.57, "edges_at_risk": 5, "mean_thickness": 1.286, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.7143, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 0 ], "facing": "↑", "response_ms": 9048, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next move should be towards [1,0] to reach and complete the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 1, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 14, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9184, "blue_efficiency": 0.2111, "S": 7, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 19, "oxygen_pct": 99.56, "edges_at_risk": 4, "mean_thickness": 1.429, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 0 ], "facing": "←", "response_ms": 5828, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0]. Next move MUST be ← to [0,0] to complete the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 1 }, "target_stability": 0.6 }, { "step": 15, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9192, "blue_efficiency": 0.2088, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 18, "oxygen_pct": 99.55, "edges_at_risk": 3, "mean_thickness": 1.571, "max_thickness": 2, "min_thickness": 1, "erosion_pressure": 0.4286, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 1 ], "facing": "↘", "response_ms": 9766, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1] to reinforce (1,0)-(2,1) and position for ↓ to [2,2] to complete the target (2,1)-(2,2). W is 2, need to complete targets.", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 2, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 2 }, "target_stability": 0.6 }, { "step": 16, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.92, "blue_efficiency": 0.2065, "S": 7, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 17, "oxygen_pct": 99.55, "edges_at_risk": 3, "mean_thickness": 1.714, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4286, "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": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 0 ], "facing": "↑", "response_ms": 8369, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0]. Next move should be ← to [1,0] to reach the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 2, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 17, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.1, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9208, "blue_efficiency": 0.2043, "S": 7, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 16, "oxygen_pct": 99.54, "edges_at_risk": 3, "mean_thickness": 1.857, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4286, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 1, 0 ], "facing": "←", "response_ms": 6177, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0]. Next move MUST be ← to [0,0] to complete the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 3, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 2 }, "target_stability": 0.4 }, { "step": 18, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 5, "B_blue": 1, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9216, "blue_efficiency": 0.2021, "S": 7, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 15, "oxygen_pct": 99.54, "edges_at_risk": 3, "mean_thickness": 2, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.4286, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 9, "position": [ 2, 1 ], "facing": "↘", "response_ms": 9865, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1]. Next move MUST be ↓ to [2,2] to complete the target (2,1)-(2,2).", "thickness_map": { "(1,0)-(2,0)": 3, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 3 }, "target_stability": 0.4 }, { "step": 19, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9223, "blue_efficiency": 0.2, "S": 8, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 14, "oxygen_pct": 99.53, "edges_at_risk": 4, "mean_thickness": 1.875, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 3, 1 ], "facing": "→", "response_ms": 19426, "was_retry": false, "was_random": false, "note": "Moved → to [3,1]. Next move should be ↙ to [2,2] to reach the target (2,1)-(2,2) from the bottom, so we can complete it by moving ↑ to [2,1].", "thickness_map": { "(1,0)-(2,0)": 3, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 1, "(1,0)-(2,1)": 3, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 20, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9231, "blue_efficiency": 0.1979, "S": 8, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 13, "oxygen_pct": 99.52, "edges_at_risk": 3, "mean_thickness": 2, "max_thickness": 3, "min_thickness": 1, "erosion_pressure": 0.375, "d_min": 1, "d_mean": 1.75, "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": [ 2, 0 ], "facing": "↖", "response_ms": 9700, "was_retry": false, "was_random": false, "note": "Moved ↖ to [2,0] (BLUE) to avoid damaging existing edges and build thickness. Next step: move ← to [1,0] to head toward the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 3, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 3, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 21, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9238, "blue_efficiency": 0.1959, "S": 8, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 12, "oxygen_pct": 99.52, "edges_at_risk": 3, "mean_thickness": 2.125, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.375, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 7, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 0 ], "facing": "←", "response_ms": 6754, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0] to build thickness on (1,0)-(2,0) and position for the target. Next step: move ← to [0,0] to complete the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 4, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 3, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 22, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 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": 0.9245, "blue_efficiency": 0.1939, "S": 8, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 11, "oxygen_pct": 99.51, "edges_at_risk": 3, "mean_thickness": 2.25, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.375, "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": 10, "position": [ 2, 1 ], "facing": "↘", "response_ms": 21589, "was_retry": false, "was_random": false, "note": "Moved ↘ to [2,1] to build thickness on existing edge and position to complete target (2,1)-(2,2) with a ↓ move next step.", "thickness_map": { "(1,0)-(2,0)": 4, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 3, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 23, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9252, "blue_efficiency": 0.1919, "S": 8, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 10, "oxygen_pct": 99.51, "edges_at_risk": 3, "mean_thickness": 2.375, "max_thickness": 4, "min_thickness": 1, "erosion_pressure": 0.375, "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, 0 ], "facing": "↑", "response_ms": 8194, "was_retry": false, "was_random": false, "note": "Moved ↑ to [2,0] to build thickness on (2,1)-(2,0) and position closer to the target (0,0)-(1,0). Next step: move ← to [1,0].", "thickness_map": { "(1,0)-(2,0)": 4, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 24, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9259, "blue_efficiency": 0.19, "S": 8, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 9, "oxygen_pct": 99.5, "edges_at_risk": 3, "mean_thickness": 2.5, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.375, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": true, "B_at_switch": 6, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 10, "position": [ 1, 0 ], "facing": "←", "response_ms": 4834, "was_retry": false, "was_random": false, "note": "Moved ← to [1,0] to build thickness on (1,0)-(2,0). Next step: move ← to [0,0] to complete the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1 }, "target_stability": 0.4 }, { "step": 25, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9266, "blue_efficiency": 0.1881, "S": 9, "arrow": "↙", "is_blue": true, "first_pass_valid": true, "bite_in": 8, "oxygen_pct": 99.49, "edges_at_risk": 4, "mean_thickness": 2.333, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.4444, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 11, "position": [ 0, 1 ], "facing": "↙", "response_ms": 16875, "was_retry": false, "was_random": false, "note": "Moved ↙ to [0,1] (BLUE) to safely position for reaching [0,0]. Next step: navigate to [0,0] so we can color the target (0,0)-(1,0) by moving → into it.", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1 }, "target_stability": 0.4 }, { "step": 26, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9273, "blue_efficiency": 0.1863, "S": 10, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 7, "oxygen_pct": 99.49, "edges_at_risk": 5, "mean_thickness": 2.2, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5, "d_min": 1, "d_mean": 1.5, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 12, "position": [ 1, 1 ], "facing": "→", "response_ms": 22875, "was_retry": false, "was_random": false, "note": "Moved → to [1,1] (BLUE) to approach the target (0,0)-(1,0) via [1,0], and also closer to [2,1]. Next: ↑ to [1,0] then ← to [0,0] to complete the target.", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 27, "level": 6, "cycle": 1, "W": 2, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.0, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9279, "blue_efficiency": 0.1845, "S": 11, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 6, "oxygen_pct": 99.48, "edges_at_risk": 6, "mean_thickness": 2.091, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5455, "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": 13, "position": [ 1, 0 ], "facing": "↑", "response_ms": 6657, "was_retry": false, "was_random": false, "note": "Moved ↑ to [1,0]. Next: move ← to [0,0] to complete the target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.4 }, { "step": 28, "level": 6, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9286, "blue_efficiency": 0.1923, "S": 12, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 5, "oxygen_pct": 99.48, "edges_at_risk": 7, "mean_thickness": 2, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5833, "d_min": 0, "d_mean": 1.0, "d_max": 2, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 13, "position": [ 0, 0 ], "facing": "←", "response_ms": 6570, "was_retry": false, "was_random": false, "note": "Moved ← to [0,0] to complete the target (0,0)-(1,0). Next step: navigate towards [2,1] to reach the final target (2,1)-(2,2).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1 }, "target_stability": 0.2 }, { "step": 29, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9292, "blue_efficiency": 0.1905, "S": 13, "arrow": "↘", "is_blue": true, "first_pass_valid": true, "bite_in": 4, "oxygen_pct": 99.47, "edges_at_risk": 8, "mean_thickness": 1.923, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6154, "d_min": 2, "d_mean": 2.5, "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": [], "total_edges": 14, "position": [ 1, 1 ], "facing": "↘", "response_ms": 10430, "was_retry": false, "was_random": false, "note": "Moved ↘ to [1,1]. Next: navigate from [1,1] towards [2,1] (via [1,0] or directly) to reach the final target (2,1)-(2,2).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 30, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9298, "blue_efficiency": 0.1887, "S": 14, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 3, "oxygen_pct": 99.46, "edges_at_risk": 9, "mean_thickness": 1.857, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 1, "nearest_edge": "(2,1)-(2,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 15, "position": [ 2, 1 ], "facing": "→", "response_ms": 8765, "was_retry": false, "was_random": false, "note": "Moved → to [2,1]. Next: move ↓ to [2,2] to complete the final target (2,1)-(2,2).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 31, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9217, "blue_efficiency": 0.1887, "S": 14, "arrow": "↓", "is_blue": false, "first_pass_valid": true, "bite_in": 2, "oxygen_pct": 99.46, "edges_at_risk": 9, "mean_thickness": 1.857, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6429, "d_min": 0, "d_mean": 0.5, "d_max": 1, "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": 15, "position": [ 2, 2 ], "facing": "↓", "response_ms": 8322, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,2]. Next: move ↑ to [2,1] as BLUE to complete the target (2,1)-(2,2).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1 }, "target_stability": 0.4 }, { "step": 32, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.0, "epsilon_active": 0.0, "epsilon_total": 0.0, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9224, "blue_efficiency": 0.1869, "S": 15, "arrow": "↖", "is_blue": true, "first_pass_valid": true, "bite_in": 1, "oxygen_pct": 99.45, "edges_at_risk": 10, "mean_thickness": 1.8, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 0.5, "d_max": 1, "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": 16, "position": [ 1, 1 ], "facing": "↖", "response_ms": 8780, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,1]. Next: move → to [2,1], then ↓ to [2,2] to complete the target (2,1)-(2,2).", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 1, "(2,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 33, "level": 6, "cycle": 1, "W": 2, "dW": 1, "w_reduced": false, "dW_colored": 0, "dW_reverted": 1, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.9231, "blue_efficiency": 0.1852, "S": 14, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 30, "oxygen_pct": 99.45, "edges_at_risk": 8, "mean_thickness": 1.929, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.5714, "d_min": 1, "d_mean": 1.0, "d_max": 1, "cost_access": 0, "nearest_edge": "(2,1)-(2,2)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [ "(0,0)-(1,0)" ], "new_targets_created": [], "total_edges": 16, "position": [ 2, 1 ], "facing": "→", "response_ms": 7336, "was_retry": false, "was_random": false, "note": "Moved → to [2,1]. Next: move to [2,2] to complete the final target (2,1)-(2,2).", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2, "(2,2)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 34, "level": 6, "cycle": 1, "W": 1, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 6, "B_blue": 2, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9237, "blue_efficiency": 0.1927, "S": 15, "arrow": "↓", "is_blue": true, "first_pass_valid": true, "bite_in": 29, "oxygen_pct": 99.44, "edges_at_risk": 9, "mean_thickness": 1.867, "max_thickness": 5, "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": false, "B_at_switch": null, "newly_colored": [ "(2,1)-(2,2)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 16, "position": [ 2, 2 ], "facing": "↓", "response_ms": 6817, "was_retry": false, "was_random": false, "note": "Moved ↓ to [2,2]. Completed target (2,1)-(2,2). Next, navigate to (0,0)-(1,0) to complete the final target!", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,1)-(2,2)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2, "(2,2)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 35, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9244, "blue_efficiency": 0.1909, "S": 16, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 28, "oxygen_pct": 99.43, "edges_at_risk": 10, "mean_thickness": 1.812, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.625, "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": 17, "position": [ 1, 2 ], "facing": "←", "response_ms": 6119, "was_retry": false, "was_random": false, "note": "Move ← to [1,2], then navigate to [1,1] and towards (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,1)-(2,2)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2, "(2,2)-(1,1)": 1, "(2,2)-(1,2)": 1 }, "target_stability": 0.4 }, { "step": 36, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.925, "blue_efficiency": 0.1892, "S": 17, "arrow": "↑", "is_blue": true, "first_pass_valid": true, "bite_in": 27, "oxygen_pct": 99.43, "edges_at_risk": 11, "mean_thickness": 1.765, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6471, "d_min": 2, "d_mean": 2.5, "d_max": 3, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 1, 1 ], "facing": "↑", "response_ms": 7678, "was_retry": false, "was_random": false, "note": "Moved ↑ to [1,1]. Next: move ↖ to [0,0] or ↑ to [1,0], then complete the final target (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,1)-(2,2)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 2, "(2,2)-(1,1)": 1, "(2,2)-(1,2)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 37, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9256, "blue_efficiency": 0.1875, "S": 17, "arrow": "→", "is_blue": true, "first_pass_valid": true, "bite_in": 26, "oxygen_pct": 99.42, "edges_at_risk": 11, "mean_thickness": 1.824, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6471, "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": 18, "position": [ 2, 1 ], "facing": "→", "response_ms": 14366, "was_retry": false, "was_random": false, "note": "Moved → to [2,1] to avoid damaging thickness=1 edges with a GREY move. Next, move ↖ to [1,0] and then complete the final target at (0,0)-(1,0).", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,1)-(2,2)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 4, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,2)-(1,1)": 1, "(2,2)-(1,2)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 38, "level": 6, "cycle": 1, "W": 1, "dW": 0, "w_reduced": false, "dW_colored": 0, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.1, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.0, "blue_ratio_cum": 0.918, "blue_efficiency": 0.1875, "S": 17, "arrow": "↖", "is_blue": false, "first_pass_valid": true, "bite_in": 25, "oxygen_pct": 99.42, "edges_at_risk": 11, "mean_thickness": 1.765, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6471, "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": 18, "position": [ 1, 0 ], "facing": "↖", "response_ms": 6053, "was_retry": false, "was_random": false, "note": "Moved ↖ to [1,0] using a GREY move on a thick edge. Next step: move to [0,0] to complete the final target (0,0)-(1,0) and win!", "thickness_map": { "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,1)-(2,2)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 3, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,2)-(1,1)": 1, "(2,2)-(1,2)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.4 }, { "step": 39, "level": 6, "cycle": 1, "W": 0, "dW": -1, "w_reduced": true, "dW_colored": 1, "dW_reverted": 0, "dW_expansion": 0, "B": 7, "B_blue": 3, "B_grey": 4, "rho_eff": 0.2, "epsilon_passive": 0.1, "epsilon_active": 0.0, "epsilon_total": 0.1, "rho_minus_epsilon": 0.1, "blue_ratio_cum": 0.9187, "blue_efficiency": 0.1947, "S": 18, "arrow": "←", "is_blue": true, "first_pass_valid": true, "bite_in": 24, "oxygen_pct": 99.41, "edges_at_risk": 12, "mean_thickness": 1.722, "max_thickness": 5, "min_thickness": 1, "erosion_pressure": 0.6667, "d_min": 0, "d_mean": 0.5, "d_max": 1, "cost_access": 0, "nearest_edge": "(0,0)-(1,0)", "target_switch": false, "B_at_switch": null, "newly_colored": [ "(0,0)-(1,0)" ], "reverted_to_white": [], "new_targets_created": [], "total_edges": 18, "position": [ 0, 0 ], "facing": "←", "response_ms": 21111, "was_retry": false, "was_random": false, "note": "Moved ← to [0,0] to complete the final target (0,0)-(1,0) and win!", "thickness_map": { "(0,0)-(1,0)": 1, "(1,0)-(2,0)": 5, "(2,0)-(3,0)": 1, "(3,0)-(2,1)": 2, "(2,1)-(2,0)": 4, "(2,1)-(2,2)": 1, "(2,2)-(3,1)": 1, "(3,1)-(2,0)": 2, "(1,0)-(2,1)": 3, "(2,1)-(3,1)": 1, "(1,0)-(0,1)": 1, "(0,1)-(1,1)": 1, "(1,1)-(1,0)": 1, "(0,0)-(1,1)": 1, "(1,1)-(2,1)": 3, "(2,2)-(1,1)": 1, "(2,2)-(1,2)": 1, "(1,2)-(1,1)": 1 }, "target_stability": 0.2 }, { "step": 39, "event": "LEVEL_COMPLETE", "completed_level": 6, "new_level": 7, "cumulative_blue_at_transition": 113, "cumulative_total_at_transition": 123, "cumulative_w_reductions": 22 } ], "trajectory_summary": { "total_steps": 123, 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