{
  "key": "probe-1",
  "status": "completed_negative_result",
  "recommendation": "Reject for Track A: the frozen information-seeking rule loses edge versus both references.",
  "idea": "One-step lookahead distilled to a depth-three action tree. After an ambiguous first trade, perturb only the quote on the side separating the arb-price and retail-price hypotheses. Preserve thr09 belief, threshold, phase and rival update algorithms. Optimize modeled next-callback edge plus a positive weight on expected binary-hypothesis posterior entropy reduction.",
  "settings": {
    "base": "lattice+qm, thr=0.9; unmodified thrpol:ThrLattice",
    "online_policy": "probe:Probe",
    "ambiguity_eligibility": "first own callback of step, 0.1 < posterior arb probability < 0.9, abs(arb_log_price-retail_log_price)>3 bps; no classifier threshold changes",
    "quote_target": "geometric midpoint of the arb and retail price means; ask if arb price is higher, bid otherwise; clamp fee to [0,0.1] and move selected fee at most 0.0006 (6 fee bps); leave other fee unchanged",
    "minimum_change_fee_bps": 0.1,
    "action_choice": "probe if positive predicted utility at leaf, otherwise exact base outgoing fees",
    "weights_Y_per_nat": [
      0,
      0.02,
      0.08,
      0.32
    ],
    "weight_zero_role": "edge-only ablation; excluded from selection of a positive-information-weight policy",
    "selected_weight_Y_per_nat": 0.02,
    "selection": "highest tuning edge among the three positive-information-weight settings; all lost versus base",
    "frozen_rule": [
      0,
      0.49369811088346865,
      [
        0,
        0.4108230305410986,
        [
          6,
          -6.0,
          [
            0.0005096138296702546
          ],
          [
            0.00012946267300764687
          ]
        ],
        [
          1,
          30.21728671469326,
          [
            5.988213226273029e-05
          ],
          [
            0.00032371399701050274
          ]
        ]
      ],
      [
        0,
        0.6962021226278738,
        [
          5,
          46.72814500120581,
          [
            -0.0002688374403159473
          ],
          [
            0.00018493962378519655
          ]
        ],
        [
          5,
          51.09614911793736,
          [
            -0.0005752544404678692
          ],
          [
            -0.00019194773683542485
          ]
        ]
      ]
    ],
    "features": [
      "arb_probability",
      "hypothesis_separation_bps",
      "retail_sd_bps",
      "signed_own_displacement_from_retail_bps",
      "signed_rival_displacement_from_retail_bps",
      "selected_base_fee_bps",
      "selected_fee_change_bps_rounded8"
    ],
    "tree_fit": "depth 3, candidate split quantiles 0.2/0.4/0.6/0.8, minimum child 50 states, minimum parent 120 states; least squares to edge_delta+weight*information_delta",
    "freeze": "selected rule and policy frozen before confirmation; same hashes checked after holdout",
    "frozen_source_sha256": {
      "probe.py": "866695279b56425a4c000b2a84140ff4982378c15a18885e1e4754b8a1ad1eb8",
      "observed.py": "20e6e058a23e4ae5cfc3205da558155bedcd449baf60f102d3a3ecb5b4abbad4",
      "frozen_rule.py": "2b19d5d24a7d2b47563c021fd8b944d4f3738681d190fbf89564051e3ef1cc34"
    }
  },
  "offline_model": {
    "snapshot_seeds": [
      62000,
      62127
    ],
    "snapshots": 3072,
    "max_reservoir_per_seed": 24,
    "snapshot_contents": "only afterSwap-derived posterior arb probability, arb and retail price hypotheses, retail variance, own reserves, estimated rival spot and base fees; no hidden training labels used",
    "rollouts_per_hypothesis_action": 64,
    "hypotheses": 2,
    "actions": 2,
    "horizon": "current-step remaining retail plus up to three subsequent steps; stop at next own callback, censor otherwise",
    "run_parameter_approximations": {
      "sigma": 0.000945,
      "retail_lambda": 0.8,
      "mean_size_Y": 20,
      "log_size_sd": 1.2,
      "current_retail_residual_lambda_if_arb": 0.8,
      "current_retail_residual_lambda_if_retail": 0.45
    },
    "retail_price_distribution": "normal approximation to conditional cut-lattice moments",
    "rival": "base estimated rival spot clipped to each hypothesis fair-price band",
    "transition": "exact replica router and constant-product arb/retail formulas at sampled model state; fixed common random numbers",
    "observable_bins": {
      "elapsed_step": [
        0,
        1,
        2,
        3,
        "4=censored"
      ],
      "trade_direction": "pool buys or sells X",
      "absolute_spot_move_thresholds_bps": [
        2,
        5,
        10,
        20,
        40,
        80
      ]
    },
    "information_objective": "mutual information between arb-vs-retail hypothesis and modeled next observable callback bin, equal to expected binary posterior entropy reduction under this model",
    "modeled_mean_probe_edge_delta_all_snapshots": -0.00030718926389080887,
    "modeled_mean_probe_information_delta_nats_all_snapshots": 0.015969732236078008,
    "selected_training_snapshots": 1524,
    "modeled_mean_edge_delta_when_selected": -3.081884575319926e-05,
    "modeled_mean_information_delta_nats_when_selected": 0.019208167841608455,
    "limitations": [
      "Monte Carlo histogram mutual information has no finite-sample bias correction.",
      "Retail-price and rival hypotheses, residual retail intensity and fixed run parameters are approximations.",
      "Next-callback objective ignores continuation value and varies the stopping time.",
      "Modeled information is information available in callback bins; the unchanged base lattice does not explicitly assimilate every bin likelihood. Thus it can overvalue information the online belief does not use.",
      "Model estimates are not measured live entropy gains."
    ]
  },
  "tuning": {
    "seed_range": [
      62000,
      62127
    ],
    "settings": [
      {
        "weight": 0,
        "role": "edge-only ablation",
        "paired_vs_base": {
          "n": 128,
          "mean_diff": -0.19239109040389568,
          "se": 0.02560175515413458,
          "sum": -24.626059571698647,
          "sumsq": 15.392827490851396,
          "worst5": [
            [
              62004,
              -0.9592438386360413
            ],
            [
              62071,
              -0.9505360610778553
            ],
            [
              62081,
              -0.8275379895276842
            ],
            [
              62074,
              -0.7340174180936856
            ],
            [
              62006,
              -0.6668235838631631
            ]
          ]
        },
        "candidate": {
          "n": 128,
          "mean_edge": 518.7945368467697,
          "first_trades": 896422,
          "misread": 264944,
          "first_trade_misread_rate": 0.29555722639560383,
          "callbacks": 1390386,
          "sum_squared_log_price_error_bps2": 242782302.3444849,
          "callback_rms_log_price_error_bps": 13.214198297578474
        },
        "base": {
          "n": 128,
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          "first_trades": 895051,
          "misread": 262675,
          "first_trade_misread_rate": 0.29347489696117873,
          "callbacks": 1387408,
          "sum_squared_log_price_error_bps2": 245155391.8794986,
          "callback_rms_log_price_error_bps": 13.292866021566669
        }
      },
      {
        "weight": 0.02,
        "role": "candidate",
        "paired_vs_base": {
          "n": 128,
          "mean_diff": -0.7306902575764291,
          "se": 0.0359852898433545,
          "sum": -93.52835296978293,
          "sumsq": 89.39081860174181,
          "worst5": [
            [
              62029,
              -1.681669513301074
            ],
            [
              62006,
              -1.623077576150763
            ],
            [
              62020,
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            ],
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              62091,
              -1.5466286689773483
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            [
              62079,
              -1.476019286083158
            ]
          ]
        },
        "candidate": {
          "n": 128,
          "mean_edge": 518.2562376795972,
          "first_trades": 899998,
          "misread": 269779,
          "first_trade_misread_rate": 0.2997551105669124,
          "callbacks": 1397633,
          "sum_squared_log_price_error_bps2": 235466382.53274924,
          "callback_rms_log_price_error_bps": 12.979796474674496
        },
        "base": {
          "n": 128,
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          "first_trades": 895051,
          "misread": 262675,
          "first_trade_misread_rate": 0.29347489696117873,
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          "sum_squared_log_price_error_bps2": 245155391.8794986,
          "callback_rms_log_price_error_bps": 13.292866021566669
        }
      },
      {
        "weight": 0.08,
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        "paired_vs_base": {
          "n": 128,
          "mean_diff": -1.2780804404385067,
          "se": 0.04783911449230255,
          "sum": -163.59429637612885,
          "sumsq": 246.28984107625683,
          "worst5": [
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              62038,
              -2.711308011343476
            ],
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              62091,
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              62008,
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            ]
          ]
        },
        "candidate": {
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          "misread": 273393,
          "first_trade_misread_rate": 0.3011234593737265,
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          "sum_squared_log_price_error_bps2": 224644526.07118568,
          "callback_rms_log_price_error_bps": 12.59916525305869
        },
        "base": {
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          "first_trades": 895051,
          "misread": 262675,
          "first_trade_misread_rate": 0.29347489696117873,
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          "sum_squared_log_price_error_bps2": 245155391.8794986,
          "callback_rms_log_price_error_bps": 13.292866021566669
        }
      },
      {
        "weight": 0.32,
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        "paired_vs_base": {
          "n": 128,
          "mean_diff": -1.3548430121390593,
          "se": 0.04953815973648514,
          "sum": -173.4199055537996,
          "sumsq": 274.84944701976116,
          "worst5": [
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              62047,
              -2.5994888540132024
            ],
            [
              62091,
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              62038,
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            ],
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              62119,
              -2.456428548587269
            ],
            [
              62006,
              -2.393752929491143
            ]
          ]
        },
        "candidate": {
          "n": 128,
          "mean_edge": 517.6320849250345,
          "first_trades": 908790,
          "misread": 273114,
          "first_trade_misread_rate": 0.3005248737332057,
          "callbacks": 1416856,
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          "callback_rms_log_price_error_bps": 12.577641629450715
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        "base": {
          "n": 128,
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          "first_trades": 895051,
          "misread": 262675,
          "first_trade_misread_rate": 0.29347489696117873,
          "callbacks": 1387408,
          "sum_squared_log_price_error_bps2": 245155391.8794986,
          "callback_rms_log_price_error_bps": 13.292866021566669
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      }
    ]
  },
  "confirmation": {
    "seed_range": [
      62128,
      62255
    ],
    "paired_vs_base": {
      "n": 128,
      "mean_diff": -0.7510708948609599,
      "se": 0.03929571209718197,
      "sum": -96.13707454220287,
      "sumsq": 97.30750959856242,
      "worst5": [
        [
          62148,
          -1.791056242211198
        ],
        [
          62229,
          -1.7779343408352588
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        [
          62237,
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        ],
        [
          62167,
          -1.694527252628859
        ],
        [
          62198,
          -1.6295493320262722
        ]
      ]
    },
    "candidate": {
      "n": 128,
      "mean_edge": 534.6220171306078,
      "first_trades": 912720,
      "misread": 267229,
      "first_trade_misread_rate": 0.2927831098255763,
      "callbacks": 1435257,
      "sum_squared_log_price_error_bps2": 239936031.65078622,
      "callback_rms_log_price_error_bps": 12.929534788304522
    },
    "base": {
      "n": 128,
      "mean_edge": 535.3730880254687,
      "first_trades": 907698,
      "misread": 260070,
      "first_trade_misread_rate": 0.28651599981491643,
      "callbacks": 1424868,
      "sum_squared_log_price_error_bps2": 250292746.83837867,
      "callback_rms_log_price_error_bps": 13.253690224251036
    }
  },
  "holdout_seed_range": [
    10000,
    12047
  ],
  "holdout_vs_base": {
    "paired": {
      "n": 2048,
      "mean_diff": -0.672512678470367,
      "se": 0.0103199128622903,
      "sum": -1377.3059655073116,
      "sumsq": 1372.7335095167473,
      "worst5": [
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        ],
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          11429,
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        ],
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          10481,
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          11609,
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        ],
        [
          10363,
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      ]
    },
    "candidate": {
      "n": 2048,
      "mean_edge": 533.4713036155015,
      "first_trades": 14548417,
      "misread": 4290455,
      "first_trade_misread_rate": 0.29490871756013043,
      "callbacks": 22796950,
      "sum_squared_log_price_error_bps2": 3825622279.35132,
      "callback_rms_log_price_error_bps": 12.954261827837131
    },
    "base": {
      "n": 2048,
      "mean_edge": 534.1438162939719,
      "first_trades": 14472181,
      "misread": 4180058,
      "first_trade_misread_rate": 0.28883400504733875,
      "callbacks": 22636622,
      "sum_squared_log_price_error_bps2": 3990446776.5684752,
      "callback_rms_log_price_error_bps": 13.277152756808208
    }
  },
  "holdout_vs_lattice_qm": {
    "paired": {
      "n": 2048,
      "mean_diff": -0.34962075865987585,
      "se": 0.013631609270466019,
      "sum": -716.0233137354257,
      "sumsq": 1029.3448575845216,
      "worst5": [
        [
          10578,
          -2.706151539885468
        ],
        [
          11651,
          -2.701160724287547
        ],
        [
          11645,
          -2.279772619992741
        ],
        [
          10534,
          -2.2618109862272604
        ],
        [
          10955,
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      ]
    },
    "candidate": {
      "n": 2048,
      "mean_edge": 533.4713036155015,
      "first_trades": 14548417,
      "misread": 4290455,
      "first_trade_misread_rate": 0.29490871756013043,
      "callbacks": 22796950,
      "sum_squared_log_price_error_bps2": 3825622279.35132,
      "callback_rms_log_price_error_bps": 12.954261827837131
    },
    "lattice_qm": {
      "n": 2048,
      "mean_edge": 533.8209243741613,
      "first_trades": 14315685,
      "misread": 2322695,
      "first_trade_misread_rate": 0.162248261260289,
      "callbacks": 22263118,
      "sum_squared_log_price_error_bps2": 4143769057.6884427,
      "callback_rms_log_price_error_bps": 13.64283973652866
    }
  },
  "holdout_protocol": {
    "candidate_runs_per_seed": 1,
    "base_runs_per_seed": 1,
    "holdout_tuning": false,
    "chunks_per_arm": 4,
    "seeds_per_chunk": 512,
    "engine_runs": 0,
    "imputed_seeds": 0,
    "harness": "unmodified run.py/Blind; comparisons checked with pair.py; summarize_probe.py adds sum and sumsq using the same sample-SE definition"
  },
  "checks": {
    "disabled_probing_row_equivalence": {
      "seed_range": [
        62000,
        62127
      ],
      "n": 128,
      "callbacks": 1387408,
      "all_run_rows_exactly_equal": true
    },
    "disabled_probing_callback_equivalence": {
      "seeds": [
        62000,
        62127
      ],
      "callbacks": 1387408,
      "max_fee_difference_bps": 0.0,
      "state_equal": true,
      "fresh_policy_per_seed": true
    },
    "blindness_and_fee_safety": {
      "seeds": [
        62000,
        62007
      ],
      "callbacks": 86666,
      "probes": 12643,
      "min_fee": 0.0,
      "max_fee": 0.06943677932705505,
      "hidden_fields_mutated": [
        "sigma",
        "lambda",
        "size",
        "arb",
        "p",
        "s2",
        "j"
      ],
      "identical_fees_and_belief": true,
      "finite_in_bounds": true
    },
    "blind_online_signature": "on_trade(is_buy, amount_x, amount_y, timestamp, reserve_x, reserve_y); needs_flag=false and oraclearb forbidden",
    "fast_helpers": "none; all scoring uses standard-library replica2.py and run.py, so no fast-helper parity substitution",
    "reference_fetch": {
      "files": 26,
      "sha256_mismatches": 0
    },
    "base_artifact_tar_declared_sha256": "f6504da3b5013be52bd556059e8744e8799f715e2334dbc9e772e057ce8c9287",
    "base_artifact_tar_declared_hash_matches": false,
    "base_artifact_hash_note": "The supplied artifact declares a different code_sha256 from SHA256 of its decoded uncompressed tar. We used its downloaded thrpol.py unchanged, checked its file hash, and measured that exact source; our result code_sha256 is computed from our actual uncompressed tar.",
    "base_artifact_tar_computed_sha256": "11ced75444a1fbf5a5bcead5bc957c7ba7a97d813ba8b1d9f2318c5cc94ff223",
    "unmodified_base_thrpol_sha256": "663965707d4f20f81ab0ade8ed510742a330605fd9e889d426db1d920abc8958",
    "code_python_parse": true
  },
  "gas_estimate": {
    "measured": false,
    "gas": null,
    "added_persistent_slots": 0,
    "transient_hypothesis_scalars": 4,
    "decision_tree_depth": 3,
    "incremental_operations": {
      "retail_moment_extraction": "two loops over lattice support, at most 242 cell iterations and approximately 1500 elementary arithmetic operations per first callback",
      "eligible_quote_decision": "one exp, two logs, one sqrt, one rounding, bounded arithmetic/guards, at most three tree comparisons"
    },
    "naive_lattice_persistent_slots_about": 135,
    "deployment_limitations": "No Solidity port or measured EVM gas. A naive 121-cell lattice plus roughly 14 scalar state words already exceeds the 32-slot limit; additional temporary hypothesis variables need no cross-callback persistence. Frozen tree can be embedded as constants. No claim of 245000-gas compliance."
  },
  "findings": "The probe lowers callback price RMS but worsens thr09 first-trade misreading and loses total edge. It does not meet the +0.3 promotion bar. More frequent informative callbacks alone do not justify this perturbation.",
  "source_context": {
    "solved_reference": "https://raw.githubusercontent.com/gtmcknight/amm-sim/e65314f88de945f6d055bfc2aab01c482ab6570e/research/solved/README.md",
    "base_artifact": "https://api.imd.fun/artifacts/22819a1542e36a609ec3d02a160b4b7aaf345d26d7184ef6517abc35b85cfbfc",
    "numeric_evidence": "local deterministic replica measurements; sufficient statistics included, raw traces excluded"
  },
  "code_manifest": [
    "REPRODUCE.md",
    "check_probe.py",
    "equivalence.py",
    "evalpol.py",
    "frozen_rule.py",
    "latt.py",
    "observed.py",
    "pair.py",
    "par.py",
    "probe.py",
    "real.py",
    "replica2.py",
    "run.py",
    "summarize_probe.py",
    "thrpol.py",
    "train_probe.py"
  ],
  "code_format": "base64(zlib(uncompressed USTAR tar)); standard-library source and reproduction notes only; reference tables, calibration data and score rows are supplied by the pinned solved fixture and deliberately not bundled",
  "code_sha256": "4d216d728993741aafd84d2defc66723ef9ca6b8eb81ee4ba19830f373b9824a",
  "code_zb64": 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0VXNUfTnDU2SIjJbhFJkmNOEykxML3o5O88YspHYIPv6Uf7mb0VrDtxZlMp4aTplZBfHwiCLExjFlsoyTE8MtZSA4fuxTrhtAu+6iEg+lSpmCeUqrgwHQP0mIuXJzTRD82J/HN9SIYf7Yn4U3eUqBUMa1QOgd/ecS2ZxpiP1SpGJN0jTLk5/ZxnOFZEyP/nJWzM7lHX26o0blND1Wq0LHNWV6YnS6InNlHCjtab5sCLcylxgILV0bDqwSAlO1WaqNFgo10a1imco8MVpy3XVFFeq1Ju9To5y1LucSH+jrsfpKcxFJrnGUL/Bjba7wMO7WIFYBT/W5a8k6diY0pYGnXhLLbrxTL66ldz0s4dHtciEtQc/7jvJSQ5wN1YnnQmRLSTQKLSPsGVM84/O7Qv6ISf2MzkT9dzfUWdOhrxOLOktp6LJMpyT5cYqPsgRn2FNKfeOSxRlqiPae17T3/N72nu9p7/lD7U3QQafdoQIsXw02S7Nl+vR6h4x0kj+zgEWfsHjH41qa1JNhXfEhNVYuPqTirZryihQN7f0yb4NOhcPV1jboiGvQGdfIbIOekJBQuSWxHLS6dQk4FhWDM4+n5pYWz4b+XwqAzopcrp4tdevyYI0ZHUZAMhTgE3J5VhEVc0SKa91D7gviIzmEYG2qDWLJfA+zeLYxmmD6CSRg0y04CXUcxV4lqBELk0G7uKy221AWeei1c/bAfGtx7R79X0BK9bX9JXEbYxOZk34Td9XY3OhRaBXIF5zIZfJaJamHifo08Wk7LLEs1IDsMcGTBrSG43hu7/SZ5Uy20DbxlCAcF+wes2pmsLZph9ZK9cMu5jQXuOEqrEJUIY7ptHfNA3HwTy1Zt3VTgu5DIvZLLjrkotRmfsAeKn4OZ+zUVCIqbMCoeUykaQGSQyf5MbahiD+nvAUikTepBc2mI6KRqHWNWjmr3HH5W6d9rgO1sFEF1aa+NXQRBah9VUgBvABVYH/9ZLruOzftlJjazGzaTQAJDQftsyvmD4aCklnEp6RtxPt1dbopilKTOI40uxWZEk4lhIswzUyBc6XkBva4IivCIWSXyWVu27KgFjMRHHRVjsQjgcJgWSZtmkM0Iv5qTk32m7dhNMbc+/DR6tMryzluwEsnO/UwAx5GAlndnVuEDFwtjh1t/GMyRIB337S1dmpQ00J87kHPnJP4SsMIuzxPqNJ+ekN0urJ6i+lT2i9ZrjRpflCHEeic8SGIScLHrlAt+YCmTMfqtk8nH5UykEh0ZSIIl0g5VdnWMuGMEjrIohLOZcIwHJ/46S1YI/nlgr64k48n4u1SvBmG+UFDXCvrcPHUau7iSBMMihNqk05V3zzDv2+bVrdRe+YExjF9eRH2JQYdsHs0Ifq3N3iVdKuC1RurtkaFVtx6UtduuxfpR+ph95gRQ419IMYFz1oPdpmZSHIl+bI6veFdjueATLNoxzuV+wOtjIeWz6lYPvyHqFtUWUKPmMY1e0ZZQnrfnBakGAccvn4TRxyav/JJXNLdqB19t/a9I/XgqDw00Q0/Y406SBAK0UNXnd0xeNWxo1q/ei3EDcaHt/0vpl/cQKCtxnWv/KesXf4vuf/rXFw6O/d/5+cH+d9nkv99vdcIim/9ZkKtry1JuwcbEOO/WRU18jO+9Xvzw7cQXfX5kH92fXpxfeU4naur07OLq4tzW32gJPe0c9o5p6frqwtKp/9bFxAL9Nku4bxzfeGcXrnXF5cd9/zs4kZ9cNzrswv34vIUpqFU6eUNPjmgHW3XuXSvaAqdXVyfuqj0vH19deU6p6574VIJ9zpodc7zqk7d00vn9Pr6ElpmHffy7IbrYggvri/cjutwwavL0ytUZhtnF21qwTk7Bxyd8ytqtt/iutwL6uPl2Vnn1Dm/Prs8LeC9IixQZaeXV+fONU1mboPqOqdzA/Xx7NpxLq9PL08v8rrOL8+py1TX2cXl1cW1e5N/ca4dqpzyXp2en7lnV1TZzc1vda0Bhd3fVfj/4Pp3O86pU5X/uxedw/r/rPf/z/1twFZ9vlT+lqrcsEf155r2uFTzazSeC4NQj+/X/WE4h2LAAkJamAAG8zk9TIy7cExb+DcviCeDLgpVv4jXrIgcRFkStA3jJQxHSurZRIPWuI4Qxp+QqDcYphY0so3bIImCeQ93FsjMWaKYN0uh4A8jHWnJKsC4mwVJkOuV38WrOZE1fx2I/OMef2ITAZHSiCeqdhhlGYtww+ZklPwF1fCFYS5zWx8/E7chcW5fMGRrBGLQhLbWF4JD5UJhxJaxKBDFLQADDXjC69yyG8JMjHAw3BKXdEvYncXxmBD0Ks5mwJiwK0U//TvIBNKYYBM2qktxmBNIg7Wan8zZcHcxDKerGDYHgK3d+Du0OImVEAr6LWGpNDZMsLg4iVnKaBnGYaMgIdCjbNuiBhNls9xuKFkFJdxSewoVd7B09icEz/d3/hIX2amB8wHPILbqIHQIOxuL5s/uXZEkRvr9DLii7m2w9QhHdrvdNvoL2qXkfU3QnrbVPO1WLXE++61L7QVLnujPxbUMryaZ+oaehbwCwpLQNv7s2sabb76zjW+/GvyN//2eau/w09c/fPtto0ELyTPc9jmxpDpH+SXPdLnYzHk8tRqvkNNxnQrvKXLSDDhuOedsudB4hcMgZWfx9fd/+bMQ4nY612fnUiIglpxJLLFtzEby5MJn8HBKR7nZqGf8TZ4PWLg0CsK5edbuQFQqOWfIp/qFvIxO+hDa3ULKK0QGVnFcEseDFmHgbxDhySuHTAof7kpCjf6aqsgKecMdbZx/azT++vKNbfwVQEnYqV+EyhdWfpMk9WekvKgYCtm7+nsk6Aax/mNxFilKtmvzVxQrR7oADrqxHUsfHEqV9JeIDY/pq065gtfMabU7OJm8eiFvfl73X3VuhFiynBu6JhjdjswIpRN+l+0pKwyhKGiYbC6Thmup4fml0aJfbrUVy2sDIAcaG6s0kErGeauvlVT6dU9ed/gbrJECmhaNi9VTFx6RSTOvZTi2Bt8xcuhSu1KXG/oBUZOA5S2Uq3IqB+1lOKDqXvfDm+rFAL5AwhnQyugqE5eglOsdloroQr0KkAAFdwR//VtN41wH5EI48N7ufCIgOgDhnfGEOtpF1yH7PvYYNqrz5Zv+7c3ufKB8vdJ4z+PyeM/CfNxGK3VpJ+69NAiJYt4GtOmxmTPv5Ly50jA+MeZ0FKU/NGpm3fbVk+tRbLu3wTITFchTRRIIy7EwpY0MhLluuozUM5GTLM4qd0m/bLQJoxhqvjVqd/aM6gajOsKdAob2FST7RJ8gF/+GFtjGoa8bDNg3L8r6YIxoFoLgcpCysOhjQ2ttyDjHJ/r3CaoQn5zyrIHodEit+RCIVWqnshPMBQZb9KGEj3oxTVEStEAWPPKkllhJBEgYPq4sBElT6VM+XTBucr5QslUSl6IKsWDoYJbfsX7tz7VbZ32Aw2gtr05O8jbEBawUzEqqkMtof/24P2X87XReoYUgqkMff37ClMDdi/z9A6AuGuNcm1N0MazNyV0OG3sK1iK1FgmeXNDV0SypRoyDSF0RbzSUEfuKubihuShWoJiQhFht+wn1LX4yj+PEpHIQZ/MpgKpolfuBqd8xePyeMofB97819/UyyZR7WVi+0FOp2nVevlrQJ2lset9OtBDj99vRlYVaO4BUUA2rV7uminVSLBGBY7sEx8I48ZCzZ6x/EwjXuxAW9zOFHYxstfY2DyRxwVTQpoz4y//kiIcBKQ5xckKNouCuvJvweU03+06lPyTJ2RD/SGcEvFNR4lvDiA4uVG1rGEbQLLf0rSLFvaTJOcuztHbEf2Ou4VH7iFhFwHU6K+7x71su7xqP2/7La2JPIYJaLyiWS1F4ch/fgL0XqK3lHiULV+mMztGlM8viK74y26Gzd+XDQZFLFj5WKiCYWEtpslQmUjmgm97jWOEyT1TmfzWKyE5bVHu2cfe700Uer1COVUHzjqFpkw9yGXjNiAtTNawiurDlEp9rmiumR5mgymYn9zfIA3R/o8UYymOD0v/+ZCUHGENWz1mxGsK4mBCUxKoOhdUBFn2mRiujg15B2YSiPX2v2UuF8MdDedqpHB17Mqm7a2AwingvKX2QRx6lYIFs6ZIHlRVGRGNDKz//VHOelHP6lXun+FbXddRJ2qAgaRi6cSZW3WnHqjmCcOXqALd7P8WtCBsKxf21cWyQBwarjmWCsmd82zWGCawMKh/x4Z4250s5MgU6alDGHAXPGMFMa5kfwFoB3g7kXxrSr904ZDEYe/lYhCkLxixs2JAPZ5CsBEqEqQSJ8NUEl0m12AUJE/2isV6GlbP5ft5xLlEh0AVuTdayy3suMf/j9jTIzCbrrjBDUTs6yLuHFWbeY0Eb/Fq1qvip+utkBaDEONWMg5JIPeaGjiDMMiXc4DkWoJpnHVaMkg87VUONBAY5pVGVq6Jmxn2pLv6HNOdHs65xn3B1l/3nY65iFvrdG8gqQMMkZatjCnYq+Sk/rhZLo2Y4CU7K+BNhRQ5VMoubLOazFKbyPoOijm2cO655P4UYECiDIJD1aPQMVJrTd6+X+SzAyKciamQYEl5E1SSaGGJFOTUnHKxeAbdQYWAbVaNDS0NNaj5vwqR9R9MtP+HAmU4+VfHGU/X6+rp2si75uMCFiLD9pB0xaydkdbnVHNJEpU+U2h6qvqcuJno/WZ9w2PtSXRF0xe69DDE6cobiaiBIQurKMaCgMWebAhaPyNuD+6jJg2CVOd/az4/mefODsVzdy9Dad7rFKEFMIil7fhbYNwrFviMZLpHR3mkj36dVC7s770IC/gDJ+tLgdQ4MC2zf+dvCRc5dGI3jO76pqe4WIESiXo3xe0qUi88/1R6LnIo5eiRsy0Dtd5CHyyqqcAj6586Ib6P8R8af3W6R5qm0xs5kz/M8RZ6TmnIn1XLiM5sq7rBIcv8UA7NzLhJ78u7CgB894GB3K99tXVbFRZ7koJaAxrdeBcwdTqh+iWqQ/NndZRb2QvL0V0CSc4jHOj8p9Guxbzv5+CKTplh7n0I5l6xI+PPlIh4q5h7ggMESK3h51yspDWs7rqWQspA6wT2hMGxW2FR3tpNT0462hYK1JDLx7WpZKATLK7h2+j6R2v9rWUHlmgTVyPFh/d7R3F8sJyZNHlt78609WtUPKpEWhua5TmlZpbShK73FaTuI1mESR2ILewUPgFDjg+ZnE9x82tmTlX0FIisrizYlK8MqYstgxDdEQhPXn7fXfhL6LMnKdVe7Nxr7XtXabFS0TXG3Sv9LW1izKaUuTW7F1lXvUtzISKU7oRRXVCa001AX5DGmABMt4JA+ae7Vf8SxbZXOhEXVwez2j/HTXHH/i/R/OpcXl+dV/T/n7PKg//OZ9H9eQHUlVz6hLeREMq4Q33RL4ttJOIe2STxRqho2tESET3TbCDZw2ikEvBWNGiPXqGnAxx+xuspRKPYuvm+8mwURa70W/DK+6cpFxBCiDSgS+8LDceGUEU8wzhUaJOyAE3d4wpVhyXc97lZWURavoPmiObIXlpNmB1rSjtDdYW+TMLBssUNIWV559J8T9ygcBiMKgvB0X6PVsteD7RP2lvvUeBLR/1CxFCove1zKnusKLdhE6xVOmL0FGtQWV9JzgArErh7KPt2TXFfiO0kllM+RUp2awsQfTr4njj/bZfXS8SD3O8j9DnK/g9zvP1ru9xMs3u8RvH2Z37xbtIzWNAgpdFezOPPntrjqZVfSemgZ1hXdDeFSOzkTmpzJ4yanRsfNJY2eki2JOqyDVPMg1fy3kmoq6j1LeM6cWwcZ50HGeZBxHmScnyTj/A3O/zI0yb/Q/qvjOqenO/Zf5wf/r59L/vOapgDHV0lhsBNPlMBCBHlMpb83yiNik+Thi3YlHSrOzZM8hBILMPo2bHZgyZylN0+NJ3mAw5qvjdeQPqfS39sHDm7iR+weEovFhgfVNDv/KEK+cMgh4jultzWO8mayzvo6hXc4YfhFDywgDzZhmnVr3MtZ7VpjIbYi+h0MhFZRrTtbtiNX7kMI3kE8YeG78g8iZPzSZ4RuHI9MmgeMbmPHoUStr7V+E1U24RGE/tY5lJD0hh3qPXij4tus9Z5DXlylWPZuqivN4pVbgJQwEIxNGOr7lvFfmIvmUJ7/lJcB4TniCZwaoR4aTurwJEAMwmzmRzyH9Tkq/RmM2d+Zr/tNaBlD7dWGCVLFaL9RY+G/Uf5LN+zYRPaAJ2TRg7HV757fNGouUpr5qiCerw94djwFWLXl8vWCcsOHypX8sopl1OwaH5oR/at7iGnmC6vZFcHxTOrvGb6kQZ6EJcdpYt1Rer8P1zn8cW0bp5aAhh4ZIM528/HgePUP8iOy+3tv/w/t/45ztmP/3TnEf/ms/l8zP72ls+MoiVMODjwK0jRIe8RmzucGBzfLYo7sK7/JndUXXpWIsHFEJ0hM2zK4Hi41mKHIZkWpEZGNzDClS6OugTBUW+PF6x96Boysopjrs8qu5OWWyJ6xJrDbBaxylxNwS68y4sO9F/cMG27jO00LYpgO/4tso+VqwOCZnOTkW08kDi4IjkXUU7TBSTsOL/sT+i52Er7T57zSdjXRDo+8+S8IAaHECxt3S/f01H9N+5xdViGNhfuRrcEgib68dHvJf8I4+sVQyexos11CtXQmBic5nkTLJIxoYmy7JUjpxBKn7EuK39iT7GEX+Hen/79r5K9H0f/Ts/PzKv0/Oz34//lc9J+D6XA4Sxyl9FDz/lxE/ULQYT3AMNwHitszdeuNSMjsnwJhBhFsUobcXqUi4jGu2DlWiIg5rsWiLCJeV++3lZ8G2gGYYipVFUUqK5fScpdA6OaZumeGk0whLZH7xXvbtxN77c0amsyvDbuY9/R/+xpdg2DUbyUiIMQT4zS32stviFNve7LpwVuvZ/rHiXUiBFrR0I58j9qTbj2/FMFGaOu88xPWWShCVrZk7FsOaA9m2k+2PQjOFzGdJtJww9FWEFdSQeo/TTRNMDpEBRnHtOi0bewNbcd22q30JBe3EnR6AAuCDLknfosjQHOZiX8sXkR1Wm4xrp4Z+S3C3ZESfpXFdfuAKIFwkupADAUQQx2I4YNADFuTYQGElF2Lr9aTtlMzQOE08hyJNSFzbDkNdaeBqK6tdLtYBFkSjlSwcOJ2iP9QfmgmK/b4AiU3zAkRqyQPj4mafvb6NJu0uWIXUr+1SAAYR7rsUeVUXaxmcPMcBg1OCX6JAVucvETn7SvpGkP2/2ebp6DS2hABYSrLZK97CxE4RtPHWGbeOBwRD4XwMvSP7oxS3Fy0r0t2ZshTvVPDlRrRBOrA/4VvupfAvdnkyIIqngBxJsMQ0QOFE39cummeCNMVUSPTKnxraAFulOaml7eMaN5aYaYbmou73PHKD9++rAiRERTcrJWT5P7seRxQ1Cr1VsX4sR1LZClpkoh7PBURbU9kHKEno4ez6erC5onvKTQU4W92yzSqtyqZpMoAyOBYbPKWtGpdXtAsRqnHVFTl5mg9Sihuc9ZSUw9VJ2elt9SCEOXgVVytg72NrKe0pCMv6rs3qP/nftTv3Nw8oQTnRmA46p+WDKyR4WmnRlWHIJESdo+B6GnDcew5dfF0xBLaFblTj/4H7v/SNdO/0v+b45xf7sr/D/7fPhf/972I/CKp8TgJ17TTfffq2/+GMkfFpxdxb/DpRXyibfgLHJdT4UiLsLhYwlec0PWAf6+vWVm0a/zZXxHj6EeKZ4wRe5rdyUivY0LtnbYmbKwtAwb+0BTt5h+MKQu/CRx2yvr/XKlL2uN/09wFXK5qGq8S8KKraCT0NXMNUEgxVkmNnlCrXlu1K/RTk1zrSHfNZoB/i9vGM1xNPhV0UOi3mJo7ONYchd+21XQm1GJBlCNse7LLhgrATpUoOCXsY0M6Y6tA3G68gVpqF5xQPF9lsplx4I9bSTC6jcGEm9Qm1HVFvEgRtQ/XJLIvDB4NH/urQ5R4w58S955Kh3bshEoFMic4ZdwVGWRHXHoqTQ+VDddCj3cO15Y3Tc3UEGeQuwTe2RPg8U4pESuft3QYuaUxjXsIIj5jXSP4BSRESVjtQluXKgQ67FwLJY+4y1lWUTPV/Ora4gtDi+/j0J9GNH7hKIU+MjaMussu5dROc1bXr3qr0/3U0Z4aRt00nmQefLK9X8hn+9/TcV3dDZXyrm+L0IuNP7t5JIQ37Vdfw3ecqzmPE55G3nzzHae5F/VBlnBMMn01wbHoaHTEYixcOrLSOM9a9lA5ZRoFMmQ1CnXlkmc1p+24UDy0CUDn8oLbofpahI65WCzsnIRXuqxaowBw2DMVLqsoOWt8/3f39V+E573OxYV75V6eXZziCtFtfNPh7p2fN6STPh0Ml/27wZ3UJSKJFOnsA0ncQbIDuC9BERfBGHSSYZqsCE7E5U4IHeMwpekzCnAoV+LQWWhurJzlqnrW2+B/KKEw5FzidbmE9MCH4ZOABcnERNQIp33mnLnO6Tkc2J52rs8dSwVyYLqEe6J1xX0YO3thHSCA/4qzWKxFS2tT0jGlLFn4CjOhsiSueHkbyP29qAg/Jc1V5SVIaufBLRmhGv/MwlxNjwZ8UTjW4egE+rmsJ6KbUFn2hXNCOYS3LpOj/MikhtLzBM6GGEA8+LlM+KfcOVRjR6GYpiqR3VwlVVHsLks6cnJOpyMidCW9LNm9n2wGD9EI4HYtFj0jtAkfPLSQzqXJmm0sWaGMQWMPkiokcsJ6kIhosmRNpJ/EdaZw0b+AS6UxNPk4ldBOietiLtBiPDK48BAPogK4n0eRHAUo9kT4whE1KJQX3ciHNbcjKHwlmoqWfKq7RVVux9liRbkG+viwraO9WwuzwJ/+rrzGi4x9xHoVzuzxJK5VuYY9p7k9GmRSmW7HvWOv0JXrVN0zKt0l5aqmalqgaWRxZVUFIqWDxBpEoLunlaJLVXKH6IK4Mh3kTZnZIgam5LRlx4CCu1yuiLV82QbmTtr0VKk3UQQY9rD5T71eV7XaL3lPpp0eVVbMhSqhznGdPeAN3jOGuCkRg1eVRFiCyhabO0sluwbL5+aCM2BmQjOAQq0PRjsrK4PtiXf2W+l8KWCkzlkl1lfKHnwL0P6uoPq7flj+e35erzv+1oXx0cJ/MEFl6qGjOR2nNAGgn+DohgjYkf/eb36P4HW3pXktTvu3IHB04v8eFNblIaeqn3rG9/1b9k3UpSwl3cIs42gzY8pPeUQ0NJVZpZU8r2WKSGXZbmwySnsq3CTyV10NPuP51OyMmiLsWMqev2Q0JNrUTGAFxLKZNgstVkEYOFNz1NREmTLGGiHjWZNKUe03Nt6eq7d/34Br6SHi2u8ecQ1Lejg33w6t2jVJH2qioyHxnvBossxufDSt3J4AaSBNBM4zXmGyaJahrEjlYviSZaUgbvT1eW2Z5/Vl/tCB2OpsGP8jHJLxPlqRR2CLxw7K14VpLt5oVOLlFPYCyoDgsfaMjmvR0UXjD3A+gjyI9o9MiIF2VNzZAybOpDtfBraCpuZA06itw3jwJzkheYLF6bJiqAGEFTeAMF17RBCBz2owuXNcKhuh7lro6oaBFeM/cZLSzlOfZL94v+3iL7BFfMAUEccVWtrr7BFz4hNMFgs7M8gdhInZfptGlk3A9hPCutyGh4UALQ4xPffvZEyeO2bYeblB53XpIx62ipaRS8HMXDBXYy0YdHTrnEVWEz8r3znpCFJnQZK4bLXTkWY7nF+91husJS7b63SkwU5eYp+1jDS8EcsLKyNBpPJxV3Xa4KtDEfGgblGOg3nm6wsmcRk6S20a91NFNUBP4buXoy5Te3RmyIjsfYIl3Q4U91DXVgnWE4Z1BwoOVFcPBXYIbHjcZj04X7EkC8M0puXCGYkJ8kci+RP6hYrGqmidFelX0k3oV9J29V47WSGR+gZwocaqkexX0jIWMjaLxVQu8/9fYa9vu9ajjKyL1iCX/O3tcH+xDW7VwvTXWqje70WtqB1CaK6YCQvsSWssWs/zr08lw1WXZxffC1cAcKR2rmPNBJNSF9nupp0X0Yi3K6OKVoqbRK4paZFpeax6s3zdYnFBh9p1jUVhne1fbQXKxvNx7vh32+eNpsIciHUNcQdVDT8sgiUQXgiYu5K8RXfPhY0i9X9YC8z7YT3YZx7sM/9o9pk4TuY+3ThAan5ZshPXqvXU6JtIFUGDbtRNyG4M7GUwwhkJ9XU19T6UpHPNLZ+xYBEGi7oQKuFms6vpREEoXgo9zGb0WbBApbfrWkMytcoo1+7MvuV2Qb08zqE37NVExSUA+rc32t0la4rjKpJr4W3yli3MII0Xym8svMLH+ljeypNeXTTuP5gjwFofgLjF6Df1G+Tmr/ELOIVGxsEr4OEH/S9x6f+v8//nXJw7l1X/f51T96D/9bnsv1dJ0HrNii25tg0xnMMgCqD/O6RT9/bEXyxao5k/nwdEKIz/czG8uHadyZVh0jvRg3bC4bQXCzw0iAUI6bA+DVYJfxB6SOKRJR30SATmLgnpBBsVko40XiXwMkjUDkFCoBtfGCOk7cabV38mFjgJ/EXK4eeCpCj7hgbSEMCIyJi5YtQoRhxw1vYYCk9/bIOQBlmvoaQITBnDQNmdS5t3I6VtI7d3f6ZU5DiwpZ9flMoLVGHLJi88oyJ+N2y4zJIWmWWzElmhDWU3lkQjEbdT6kCvQ4TD4evICazzhTLWMldhOuXAjVy31HUyUlfCwYJE2hbhdccfcRhnKZzl3hCYUWYJnadcDWMYjnHlZ0OugIeSBZ5QPaIdYhwvGo2/5hfKR0p/pfG3Z//4mi+inMarr9VFtJASc9C3nzFQQSA5IsU4Kbv2PByUClyGR3HRxhVz6lODnwU3oLRRaDdic2ZbjoxtRAMWBXuOCC2PAO8Q0dvG+5G/1KX1I6gsiD613/Af0+kMqNBABKNHtdJCncAfSNWJUdJeReEELouca1zvuvl9J3WqnKHTvtCuQ1lxsZqBmrq6cvkcCZp3lStXENzapYICwEYjdlHVZCrNvne6UkCf1H/Uwu0k4QQModQbEpXLv0JrZDWYRyXZlYJHKDadC/GL+FdYiSwEMopLGXqXJuolRYaNYxtbRyXZ+Xzib4SXrVv/LefvxbC3xdU8IM5RpEAs59c5+Ar/HgCOwNXuU3EH7oh3vnDgQLa0elasvvnf6oSuLVC5zoQilHAOQKwcrgOJZPgZbo3lPG3iQzp4R+wRH4JzvhUNErHQ2oWcV8qHT/gKIb8VSNace+1oQKerxUCoheDB175MC2W9V1+LvHQA0uX9OUOaFXcwckHpIZHgSCsfWjF9jvN5s0zazF0KFQhMf0tTkUJQoHxzsEvkge+7TFA0SECA4nEAMiaoVQbnsNDqLVYFurPFSXpTuohNWSRdPqVEGyAEx72/4uQ9xWRdgln38WGDu9hos+MfawO52e5xh8vgago3ghuX5ZZ1Lt+iJK/c3/TodUuvaJ8+0GuQDZCA5Bb1o2dk/MrJJzRYu/L6JMYtsg/NviUuV7e1XuaQqxbu0qIiGGy03cOUb3EI70mjLNxhQX25ms26wOMRJtQJoVFi0aSPLWrA2oX+HmTmSDoWHZu6O5jaxmKgW/iwDyvbmNEM1NRhZRuzoJVlmL8BgpgsEOE60QN6AmfO7tyb5qtOM4mR+ad7kFKZruXZ6uzO1geQvDtrnb2zVhsU51Ez16nO3NoqHzF5HzWBS7uGNkaOGqOeoJ7FG1HHYzocUyZBz/kFKg/+3gaq20uuEcCkWqgCZFIVgGGxWfRGXIitKBIL1Kk3gv4z1/LLK7MehvSeja1Y0c7uitZm5/CRs7NCBGpogGPVzoMHZmg+6xQp2EMJnD2U4JHU4FMpwi+dcdtYm3EMy2S4F6B7Z52YDpgn2/jXTrpH1/Xr55zY7QXnUogpha7rezCldCAUDKlVUQt8T6PBPGRlF2cxNgof1ZcG6/IuKXgX6lZUE8qTb9K5BqnjzyK3LDCZ07V37xIJpTg+QG0SVxBsTcm6iqjoKX/rqlrxUioMLYwSuHzA2bmNE5fc+R03vabGP8SF/n/vDMXU37epMKl31AJlOj8FW7ZF7EbfzT+4Yv+mD9CQwxnBx3bmu7X+mamKY1b/rmFLVmjNxEdzi22cawUyLN4dQArG4k76f+UKlIyrE2NPZfIkuHI4erDUuEQJkfhUFOf0lbM7T1fcS2Rp0fc6KrRyhWPjs32EaCs4jmPkVDzJJqdEtPo3cc43Jpt9JGYT309ViLGgCb1CLZSVSENvl/2oBd95DPigoysx/nvAd34l+JgZK0eDPmBah5gKfJBRz4Ie1gzFPeQ1p5zchV+xV2+IzK2cEqmTX3S6+S555G79mOp+PenMb950rZdgTiejf+yGcd+o6X5Ss7lMh/s2eKZNOaXY8kzBBrUBpRjmlGKbU4qNohRDUIrhHkox3E8p1gWl2OSUIttYOcuwQyeyTS2VWGtUYq1TCcovkp6iKKetaygEqxhkiOm7rqUP64foQ35mWbu/5MxSYkEeog/cBFhmMBSPog9r5zHggz6sxaj/AkbrMeBjPnALCvp76cM2/kX0gRv4dZzV2tnhhn4RiXh8bb+eQkgxDyFgQsMnZT1483WZKrvvgLjICxwhbfECV8ngPQyCDebVAwNLyWsvAfT+2vPxFzj2GNF2YxdOT4JwomSu4god4HsSnuqnXc0YCI28QnDn5cI7T5PgKeOxr8NNMN5rLTaxpH4EDgCTfVY7JSuXibre36f7fU+JPDIOC+z/Dj3M/G6f31hFb2k6xwuhOwW9QXpt4bUIJ/L2zQ8vdQmifpWQ20+1lS5ATbcXqtsscH2o2yyYtzVDsU9ReBdu7eFU6V6Nd02pn/WNhVqlMupYaPJATX9/qUwGlELHiaYhUlWr0DH/Il4sAw33f43iu4cuStrGMxob1p3tGjQSQTJaZSW9WVav3BorMWWH9DXCmMDEE9VjVOcx9kkaVFlPvMrwptfCqqKoRZb2h7iD4klApe8dVagdU7nFLPQgQ+1WjAzxmZ9W8u9CKO8Xxf4dZkLCKjhC2YmlzmAghiLtKE/Ls7/3pbJoZcYQrmwWXSV+aZasoKNQzoogRVqFQynzqswuUSE1lAxLxbUKW7UVStyJKfsetC+1tan+/g/oIUZ4YPhX+n91XOf8rOr/xXEP/l8/m/8XXJCzK1e+3WYHCyxAYV/wUiGAL8Fpxc/iO/ZWmqmgfWX3MDMoHPnGKI6IkIyyescZwr38E9He031h8PpSO86AH42GocCDnmgyCUZZ6RDEygO6G5vcFKJwECKuvFnNljcCE8Ic9kRW4sf4+qpiByFcfRBJz33ZyEiIhXsP6dhjx5mHrn0u4/5VkkTNlRCLWs33VbmIx6t50H3BO6L4bXFhSLwD4XyVyQzA9zCQPglCuNegNINLmcLM3mKMNe63cOK9xIKq4q7GAGO36p1M+ggabPKnre4u6IHmpDMhlFaP2z2tt5XBkycNqeI53CpOZ5nxj/YDzbyFYE85ccmdEyNlsAjHbemEMkGC9wSYe2oJbT20pCYp9EbYMeCzaCv0S3gJsSrKPKYVQ7MeVvLwgmSA3QijLJaOdXt54ARoQqaMSamYwkbvC9T7aK/KZafK3Cy8/opQXFzAYmWWkg8+waAg2k+oInU93rOOXZgpSVjipPC00yg87bSNv0CJlCMWpcY/F/80zHmkvANUHA7pTojgNFC4gFmyk/2eUEYVmPgnXx3/E1hr/FPoH/8TRIyDQ0BHh8cgFJ1KZ7hbphY1Xy/w8oPQf3Az0H6U8x1bao3Ow+Fv6YeHdZkIW3lYzoW//KXOeWwRtMA2Xjz79i/PG42vXn797Idv3w5ef/dtveZtU5/vzeLUxZ6Zcvb6R+WWSWha5QQ/JUxmwXQr9IqIsM5YeYvOvTmbKzUedD31Gs43jKIgqfK7nMhqtfRXapFHykJWuc6IaAi1Vw7cQOyt+ire69jiquKIteNxpgBCqJpYv4JjpnmkNaB6VrSg3ycrrRH+QENU+LrI9Ua6UkFcQLdLf2sA2XGEkSu/YUsvq/5/Uu3WfbDzcBVg79opyAHdMVXA5QjcelQrFEs9r9GC3JAzootdbU6UalxoyjiqpgVVwqphOvwL/bqnDG7A5gi6od7SqpogFMYuAQu66HOgTcUSTCV1dcyqhX8b5KpCcn/uKt0wSbGhyi45oWZ+qlM0wHxr2Zp1TbmU0P7W5qCiMFrATBX5BYyP5rRHwmIXS7hctQo4v1M5PlQrZ96nFEm4pn7iX9i8YDRPCwFejWWDrDMfWkWf2+JpIPggxHllgVpqVdoSiL+Lk1tTOXdRA8Ba8pL/BZGUJgJC0vZW+RJSX+iMu2uykYdq0dzrDt/Zcg/2age8ZCDDVNikMsKhARdjISQlFXhlKxVWirSNu5IVACw+RHifLs6sIvANTZsiBE5TSAVFonxGMtYYp+GB861lnrX4Ll/p781HfQExkBxbqC3iZpu8wL07udJttecihR6BY3qEpDTipygNas09qMYaMw+pD6psHO4bPE/bDGVwA++qElCiX1NDP+zCcQYXuCmqs6qBKDt2KdAO588dNfM0RnwFzDUVzELvjowjZCZc7ZCrpVJ5LCdIhMF10n41HNNJjbEvIjdh1x7MfBXMGiiZ+QMYaZiye9N5PCRulTKp1Yv8O/6ARCUf8oq1mbI3qBQzGsL5AGW+pcGnzCAK3zxrftQ7iMbFeLElCfvUlqYk3dzYBgjkpJ5yWyb7i4jSq4WZwIQoB0XYoZwYkWYyNWl+4Kq77lX6ker8EH00WHfS+IAazS/w/IXVvWqfTj4qDUv5SbzlH8Hoyi/0SMmXosw6z7+mxAtYvBh+nujnic2GiBdreMV45K7M53MzxzP6Qtkq/WKWCnc6xQBVIlMlWmSrma+H8ipVdVNaT3xf0DRkqLQPi+4x94rq/UA7P56bCki2IwIYchtXFfY7N92SjxsxNDJXdYCE3ofMQqt7J4NOPiZdHUZJKggyLv2FfP+iZg5Mum33f0vQlfZGqa6lkSxS6m9hAyjqTIO66t5b3bZDaBku0+YnG5cpGsISDqJrtpybmnmZzcZiely0SsopUvK3M0FHlBFfT9+RNLLWqBr25RWcd7Uhe6zpXm6RR60RudfaRFkYk6sjTQrHGGzFJ7anehO/smJabuzXLWwDf3W9VbtVxLopqq8xKNSC6RSu6ssQNfYa2xWGdrUbkG5jJ6YC/8kt7dROwnXlAdwQv41rESgXiuNUH8K5ERnMz5iIps2HzrV0/QKbcPhNRoA2OplJnK3FRnULxzc0I+C/HmNOtOgjtnXEAhShAD8CaqK/NFehqd4shZdjmq2gedj+D+KaD1TRx+bB+O/f8Ue0b+EnuGz9/SIBPRT/9eyyav/nnJ+eHeT/n8v+T5i8pavJBGKASEQiDYUDbL665uOG5habI6XQwWqFfESsNJkZC8lYXkY7ThHLlENpKP6OyIGnhzEFNeLvnxbEVItgWhUYlBgqaq67G4JkvGKBWibs+ypm6lREY6K8ZGfjZw/MjDfTt5XXvjT1JPPut4lDJ8L6X0P5YPXGXl8PQdrSA5Bqh8T0phd5YH7lpcQCyhT0chLtKHZEHmFaxfD0FjYdmso8jbluLayjI1cE6OSYpdaJGbUcqs2q0cZYqcZs+pO+55f10VovboswoB6CgK5V5E8Buej5z+HSHNtpanEYVJxIgCpt7uTHa9/jXdFvrzEqjKNo4u1jIH36OvLqeUffqsENcOhbAkGsAiPLVk8xvnUis3KbQsKVetFkF0HqvCprkq/lyvRaBjLHALLRe0ud1DWn7EsJmBFGZJC+X8HN12AeTwcsGR+wZHxArKmrqq9iZn+1A+KC66ryqozxTp0n0QgOwTXe1/N2ogF7vOz1KMC9YSWNeN0erZmdxfJQMFtt4dlaUN2uPss+pN1KhN30o7XvwkmLsFutZLhTyUc7ZKs0z/2fEOM2myW4+vpdVQAe2P8vTztu9f7/4vQQ//1z7f8v4HXyLginM/jp19xfg1J0+bancjkdT9TFtW2sIhGLbGyr01Om7ohqI6o0wh2H3kqVIBBW8/CCGSQhIvHRN7Cl/jCcwyXiMuQ2Ao6ll60Q44Tmb5DOhAPvxDAlWMYqDVKYWVjtxtsi+ouQQ0LctYqyeDWa4SpRBCfEZePMhxJxBwIRxyrCheDes8UaA7I8d3ASz6ELhhzs+1xFQtyr7yBWWvftLJEy732KD9X7fpT0YDJSscm/52oQaFCi95KE3Ta+eSGyQLSfXzTOQtv4s2vDJx6H0pABNfJLwAJos1Sd5rz/17jNrXEs+h/hSbfMc97WufC6xyXuacey9nibA0e4SnVPQKVWxDUUfBCIzq4yFZqj1g8ZbsHi264xpDlzu+NG8LZ7X5u/t8faArwat6py2Y9DBENaxONgDh6OKh/NWBNSONe7g1qMppMLeEGh4ECjFrtLGgTRL8Q6DmtcX+7zPilQIdAVRKmqZdfj5mNc5D7sJpeZVvixLfwuixgtZr0G+i9wq/uQX91P9Jdbcoc7pDk/mnX5gJjHU9kN3VX+vYZyieru6373pkcLdxBidg/CwiUcUoS3e0reqeQnlVFbGvc6E5VDlcziJlNR63dwLfqr3IvWOWf9tS5GxaVGMi6mquYO9Lp2ssKDqCcKEWH7iX0OBq3Tzp7JW11u9T6F4bRUKZKj6nvqYqL3k/UJLm4RMHaDWLBdoRcsPI/KGVqwKsfCZ+kypolpIKqRcg9yHzV5ECye0Plkrv1cuXusm97CBtZ43Q9vYDpbuFDda4MvXcZKyg61sChLgr2jUOw7AWEkzEzlILXaRtkpraJvCCXLzFrjXrep9xCwL1mlTDhfYdzf+ZoD7Ts6sBGrtuNNXQYSluYTcocZYdGcwbvRNy+q/ZfGCb1Pgu2P5IL14GT14GT1j+Zk9XCH86vkPwmkdr/f3c9j7D9O3U7V/+OFe5D/fC75z3eTCS51ZTy0mMPFc4xXBCxMZ3GW4hJXHJ8SSD1WIkXEVafD/zKbtSCHgc54ELQbr2KhPM7qN4gPjJdkFSlt8kLhFgo9kCuzUYaKHWwEkfJjmENQ0suOU1wu2cVVk3CtYXNc1F3t6qpqtqaKzSyC6DERd1n9d/JdSjqkWjZWSC4vmftRrQ42h0WtE8vY8C9cq98N5QVvL4jSYyJhPRhlwq2f9JoYTb1dt37Hl5eXVo8Q6fVvepQQyZDzQorzwl+CkTUrHdSECDWh6Yd7wtKzohZNmXgEexpqqlGxY64NWj+sD1ivc0Gz7XJ3Y19+Skx6nZNd7jsMBFE1/rumLun1+W5KtWbVNGcvlzf7+GdWXgtS64l71qW/O4qLjz99sD6IR4PN7mNyDZJovwU5YpHJdvvvbnDjUhdRTMSzZ4GQ94FVb3Y1apolKWTTsplT77avxdWt1DSF+01IOIWGqppifE2LZE0nybJjq+ygm2AUE5ydkppA8sa1t669lDiGOr5NPKecd18aLzm8tjJKk/GtT2BvBo2XrEXLdLziHEWIa2H/M/XoUHrZ0NztNAqLL89pTfxeol19bY6m/tHWOtFS3KPp0Vaz3V95OLJ32jaEcgypmRyZW/d4esRmBC0qbk794+RoqhuRrtm2vbXqRVvXo9zro2kv2rjem/ZfTyhJ58VXTzz24yDRBfxQTpty2aWopNHW2x6vCGKqSNZTZZeiDRXLS5urlrlpRRvraGlr/iezDcN2suxNh0DJsISS7dF0eLTRUbIFSpQ7gxI6sg0jYwNkZBurtQEqhjoq1l62ARKo5xuJhK1EgnTo+EgEUJc36PyQKpDlG/s7vm1F29aKui38kfPs44AbPPvkvCuU7bcnmycaCZmKiUJNFkhAk+b0SJdk4Ri1ebKpEEsFXS/beiZBQdNj2oPPsDDz1Gi0Ko7xpEO8MHva6ZY6ZLZEuj58ZTIyFSNYhfVoerKsQPp0L6T+hiDdYPRySBmB/uZo+YlwCnxrAwN88yDyGNBKHtHxGTTS9pOFzfutrUxlZoIAuznpBV3rvbd9O7HX3mzPjnjtXLmXp8fv5IWylx/CfT76JwvPk9Kx5FgPenYEeiu9mNqOHNcvjTfMpYTCT3PBJSmLNZtDsizBRxSuS+db4WBAWKMJc7YiBJygTKnLK2d5BALFq2d5wo+pa1m9jVuZa5TakyulWCiMru5A4MdbisFJlx7N31zPZqy5dT3TbZBwEVI5fx4VyGq1z49kQPejI/dYPdbhSPOiSWtt4MmFJUk6exzAP5XMNLRbG3do3u5CbOyc1udzNcGGq9FtkJnjjAtDlTY/vW6p35uTdGkd4cApvnduNNd0r+MwTdnfObQWYKsmdoyuiLuOi0rpi4PlWLS/jFktVrCp4XiFGFz8XVwvSbfmRUhVf+G1r+QdE99kFpOtfVZ4fyMGrbfK9/caX3irp2Uvyl2wLb3VUX2Zym1RVOP5jgtWHd8V4eotDLfTdmmobTjC69FOWWrrScV3nRg+McY8iA/u5b/PmDIs9tZjeHQ6Y57ZHbtj2Z22oDRFE7igVPz0wp96EAaOoaYCvRdKeKqpPpmufW47Hdvt2Gcd+6pTZmSoMmiroHf2UNpw4bzELJ9o4D1IFgFM//UgiWQWPYwmMT9EqXdxVmjEicMGtSpcBzHtLIZyRryp1//w0f7wEXV5nXZpAoB8iut8roLW53vLNh3bab2vXhiyx0RtvqQ1F4pDO/D2Uefd6wACrU85bvrDGy9/YTnvkAbh2DmJUgL52BMAHgX0Xhg1hLVdeVQvhjYPU9GkVG2uiUkWbrz3R5yxo0FmomKR7BTJNaUJ9qP1UT4t1ydUoaZ4jqFVDD+d1sQQq4RFWJo2fUyJloM5YXNBarolHiiFSyJFPHRubsTMwiHbHPuZL0fZ5hO4p7zEbLdef0zFjiWKx31XaDCNWYWPyt30Fiue49utUH7bbnNzFFGXdwqixWqIlN964rj5tt5frMSiG9LGxxf5Peife0rhcFXWOFRVs+Z5MdMutYFZ52qTY6yP2wq0Zeo2SXyOfmS2Xbt9Zrcv7PZVZZBHq8xbp30sSOQ+QjfWqWXd9OaEmXLl3GXR6hOPCt4Qx3tPnqfIUqVf2LHRxtyy+eBnWU/OO124wAijqqwYrja8zs7s9RNWrTPndlIzY7fpfSNKZWlAxXimcjxTq8dNHXv1eqDbdPfsjfxPMJSs+WJieJVhGCaD/B7wsrG6PPomJ9q3NqHFBuz58UorvDNxBkUBDxlLK0J84ik+L83vY8cSyUk1+eYBVUQ6GUL9s9BE7EEBWdNCVFCLjF5Tils0K1boLXp9YZEHExnWWIYRn8xqi1l94SLqxIXruFeWVWhMokQxawrzDtRq55YWbGjRE2qPzVzw1bRzSzjF5GuQ8iajwYnp6jFg/MWuqEzrNkXUVgEJU5N6SLgiCQYvxxowMC5VKO5runfnyXD0hVmT1cs8jbLp0GV7QBPzoGnf2QICOzvYmBx+h9/hd/gdfoff4Xf4HX6H3+F3+B1+h9/hd/gdfoff4Xf4HX6H3+F3+B1+h9/hd/gdfoff4Xf4HX6H3+F3+B1+/xm//w/k4f7w"
}