{ "example_version": "balatro-example-v1", "id": "last-hand-target", "title": "Can a flush clear this blind with no draws left?", "tool": "compare_actions", "request": { "contract_version": "balatro-web-v1", "state": { "id": "worked-example", "hand": [ "AH", "KH", "QH", "JH", "9H", "9S", "4C", "2D" ], "deck": [], "hands_left": 1, "discards_left": 0, "chips_needed": 340, "jokers": [], "levels": {} } }, "response": { "analysis_mode": "exact_blind_survival", "analysis_objective": "Maximize mathematical single-blind action value under optimal continuation in the supported model.", "assumptions": [ "Uniform draws without replacement from the complete specified draw pile, with multiplicity.", "Optimal continuation under the same rules and transitions.", "No boss effects, consumables, shop, economy, scaling or future-blind objective." ], "build_target": "aarch64-apple-darwin", "complete": true, "computation_budget": { "score_calls": 1000000, "wall_time_ms": 15000 }, "contract_version": 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"model_action_value": 1, "q": 1, "score": 340 } ], "complete": true, "exact_ms": 0, "explanations": [ { "action": { "cards": [ "9H", "JH", "QH", "KH", "AH" ], "clears_now": true, "hand_type": "flush", "kind": "play", "model_action_value": 1, "q": 1, "score": 340 }, "branches": [ { "conditional_value": 1, "draw": [], "draw_probability": 1, "terminal": true, "terminal_reason": "target_cleared", "weighted_value": 1 } ], "complete": true, "continuation": "optimal_under_same_model", "draw_probability_sum": 1, "formula": "Q(s,a) = sum_draw P(draw|a) V(s_after_action_and_draw)", "model_action_value": 1, "replacement_count": 0, "residual": 0, "retained_cards": [ "2D", "4C", "9S" ], "score_calls": 0, "specified_pile_size": 0, "tolerance": 1e-10, "weighted_value": 1 } ], "mode": "exact_blind_survival", "n_actions": 218, "nodes": 1, "objective": "Maximize mathematical blind-clear action value under optimal continuation in the supported model", "optimal_action_count": 1, "optimal_actions": [ { "cards": [ "9H", "JH", "QH", "KH", "AH" ], "clears_now": true, "hand_type": "flush", "kind": "play", "model_action_value": 1, "q": 1, "score": 340 } ], "q": [ { "cards": [ "9H", "JH", "QH", "KH", "AH" ], "clears_now": true, "hand_type": "flush", "kind": "play", "model_action_value": 1, "q": 1, "score": 340 }, { "cards": [ "2D" ], "clears_now": false, "hand_type": "high_card", "kind": "play", "model_action_value": 0, "q": 0, "score": 7 }, { "cards": [ "4C" ], "clears_now": false, "hand_type": "high_card", "kind": "play", "model_action_value": 0, "q": 0, "score": 9 }, { "cards": [ "9H" ], "clears_now": false, "hand_type": "high_card", "kind": "play", "model_action_value": 0, "q": 0, "score": 14 }, { "cards": [ "9S" ], "clears_now": false, "hand_type": "high_card", "kind": "play", "model_action_value": 0, "q": 0, "score": 14 }, { "cards": [ "AH" ], "clears_now": false, "hand_type": "high_card", "kind": "play", "model_action_value": 0, "q": 0, "score": 16 }, { "cards": [ "JH" ], 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