{"credit":"qt1 policy, Gaussian filter and qm tables: Taylor (gtmcknight), https://github.com/gtmcknight/amm-sim, commit 4812a6382311624e1506aca131ca35c378f930d9.","status":"complete; test only; no new Solidity and no submission","patch":{"base_repository":"https://github.com/benedictbrady/amm-challenge","base_commit":"6b6921f8d463314aa7c96234e1be25a25245f704","file_in_code":"scratch/engine.patch","sha256":"02c962c449f30516aa25908f559ab49c6505c4df765732ecf51ba80e5f93c2f3","files":["amm_sim_rs/src/amm/cfmm.rs","amm_sim_rs/src/simulation/engine.rs"],"description":"Submission pool alone has a seed and arb/router phase tag. Each successful execute_* appends one CSV row before update_fees, preserving the fee in force and all f64 execution arithmetic.","csv_columns":["seed","step","is_buy","amount_x","amount_y","reserve_x","reserve_y","bid_fee","ask_fee","is_arb","path","before_x","before_y","amount_x_bits","amount_y_bits","before_x_bits","before_y_bits","reserve_x_bits","reserve_y_bits","ask_fee_bits"],"csv_encoding":"Headerless CSV. Wads are decimal i128; bit columns are decimal u64 f64::to_bits values. is_buy and is_arb are 0/1. Reserves without before_ are post-trade TradeInfo reserves."},"seeds":[9950016,9950017,9950018,9950019,9950020,9950021,9950022,9950023],"trade_counts":{"total":91299,"sell":45469,"buy":45830,"first_of_step":57418,"by_side_path_first":{"buy/arbitrageur/execute_buy_x/first":15805,"buy/router/execute_buy_x/first":13002,"buy/router/execute_buy_x/later":17023,"sell/arbitrageur/execute_sell_x/first":15726,"sell/router/execute_buy_x_with_y/first":12885,"sell/router/execute_buy_x_with_y/later":16858},"per_seed":{"9950016":{"buy/arbitrageur/execute_buy_x/first":2083,"buy/router/execute_buy_x/first":1644,"buy/router/execute_buy_x/later":2479,"sell/arbitrageur/execute_sell_x/first":1917,"sell/router/execute_buy_x_with_y/first":1787,"sell/router/execute_buy_x_with_y/later":2484},"9950017":{"buy/arbitrageur/execute_buy_x/first":1998,"buy/router/execute_buy_x/first":1697,"buy/router/execute_buy_x/later":2634,"sell/arbitrageur/execute_sell_x/first":2186,"sell/router/execute_buy_x_with_y/first":1702,"sell/router/execute_buy_x_with_y/later":2456},"9950018":{"buy/arbitrageur/execute_buy_x/first":2016,"buy/router/execute_buy_x/first":1594,"buy/router/execute_buy_x/later":1939,"sell/arbitrageur/execute_sell_x/first":1755,"sell/router/execute_buy_x_with_y/first":1601,"sell/router/execute_buy_x_with_y/later":1866},"9950019":{"buy/arbitrageur/execute_buy_x/first":2089,"buy/router/execute_buy_x/first":1782,"buy/router/execute_buy_x/later":2443,"sell/arbitrageur/execute_sell_x/first":1960,"sell/router/execute_buy_x_with_y/first":1680,"sell/router/execute_buy_x_with_y/later":2406},"9950020":{"buy/arbitrageur/execute_buy_x/first":1974,"buy/router/execute_buy_x/first":1450,"buy/router/execute_buy_x/later":1582,"sell/arbitrageur/execute_sell_x/first":1843,"sell/router/execute_buy_x_with_y/first":1385,"sell/router/execute_buy_x_with_y/later":1711},"9950021":{"buy/arbitrageur/execute_buy_x/first":1873,"buy/router/execute_buy_x/first":1621,"buy/router/execute_buy_x/later":2142,"sell/arbitrageur/execute_sell_x/first":2149,"sell/router/execute_buy_x_with_y/first":1624,"sell/router/execute_buy_x_with_y/later":2140},"9950022":{"buy/arbitrageur/execute_buy_x/first":1930,"buy/router/execute_buy_x/first":1702,"buy/router/execute_buy_x/later":2102,"sell/arbitrageur/execute_sell_x/first":1943,"sell/router/execute_buy_x_with_y/first":1661,"sell/router/execute_buy_x_with_y/later":2102},"9950023":{"buy/arbitrageur/execute_buy_x/first":1842,"buy/router/execute_buy_x/first":1512,"buy/router/execute_buy_x/later":1702,"sell/arbitrageur/execute_sell_x/first":1973,"sell/router/execute_buy_x_with_y/first":1445,"sell/router/execute_buy_x_with_y/later":1693}}},"matrix":{"all":{"arbitrageur":{"arb_only":3681,"retail_only":0,"both":12045,"neither":0},"router":{"arb_only":0,"retail_only":29712,"both":31,"neither":0}},"first_of_step":{"arbitrageur":{"arb_only":3681,"retail_only":0,"both":12045,"neither":0},"router":{"arb_only":0,"retail_only":12876,"both":9,"neither":0}}},"matrix_definitions":{"rows":"Ground truth: arbitrageur uses execute_sell_x; router uses execute_buy_x_with_y. Sell side only (isBuy=false).","columns":"arb_only: only execute_sell_x can produce all four observed wads; retail_only: only execute_buy_x_with_y; both: each can; neither: neither can.","first_of_step":"First submission-pool callback at a distinct timestamp within each seed, including step zero; not first callback globally or first retail callback."},"port_matches_engine":{"all_wads_match":true,"all_bits_match":true,"checked_trades":91299,"wad_mismatches":0,"bit_mismatches":0,"examples":[],"bit_examples":[],"by_executed_path":{"execute_sell_x":{"checked":15726,"wad_mismatches":0,"bit_mismatches":0},"execute_buy_x_with_y":{"checked":29743,"wad_mismatches":0,"bit_mismatches":0},"execute_buy_x":{"checked":45830,"wad_mismatches":0,"bit_mismatches":0}},"checked_values":"amountX, amountY, reserveX, reserveY against actual logged path and pre-trade f64 bits; fee conversion bits also checked."},"buy_side":{"tell":false,"reason":"Arbitrageur and router both call execute_buy_x with X input; the observable compatibility predicate is identical.","identical_path_compatible_by_truth":{"router":30025,"arbitrageur":15805},"matrix_all":{"arbitrageur":{"arb_only":0,"retail_only":0,"both":15805,"neither":0},"router":{"arb_only":0,"retail_only":0,"both":30025,"neither":0}},"matrix_first_of_step":{"arbitrageur":{"arb_only":0,"retail_only":0,"both":15805,"neither":0},"router":{"arb_only":0,"retail_only":0,"both":13002,"neither":0}},"scope":"No tell from this pair of CFMM execution hypotheses. Upstream amount-generation fingerprints are not tested."},"finding":{"sell_first_exclusive":16557,"sell_first_ambiguous":12054,"sell_first_total":28611,"exclusive_fraction":0.5786935094893573,"ambiguous_truth":{"arbitrageur":12045,"router":9},"interpretation":"The exact path test uniquely identifies 16,557 of 28,611 first sell-side trades with zero wrong exclusive labels in this sample. The other 12,054 permit both paths; they are predominantly arbitrageur trades here. No policy or fee change, generalization claim, or score gain is measured."},"method":{"observables":"Previous callback reserve wads (or afterInitialize 100 X, 10000 Y), fee wad in force, and current TradeInfo. Asserted before-wads equal previous post-wads across every callback and silent step.","inversion":"For positive nonsaturated wad w, binary-search all nonnegative finite binary64 bit patterns for the first value with int(round_binary64(v*1e18))>=w, then enumerate the complete equality interval. Monotonicity and both adjacent endpoints certify exhaustiveness. This inverts rounded multiplication, not real-number division by 1e18.","hypotheses":"Cartesian product of all pre-reserve preimages and all input-amount preimages: amountX for execute_sell_x, amountY for execute_buy_x_with_y. Replay quote_* and execute_* separately in source order; accept only if amountX, amountY, postX and postY wads all match. Output preimages need not be explicitly looped because equality of their forward conversions is equivalent.","fee":"The fee is an exact returned integer wad; its source conversion is binary64(int_fee)/1e18, not an unknown fee-double preimage.","hidden_data":"True arb/router flag and hidden f64 bits are used only to label matrices, verify the port and verify preimage inclusion. path_match takes no flag or hidden bits.","reserve_updates":"Retain the engine distinction between amount*gamma in quote_* and amount-fee_amount in execute_*. Do not simplify round trips or rearrange operations.","preimage_histogram_six_wads_per_trade":{"1":414067,"2":132152,"3":506,"4":182,"5":336,"9":237,"10":57,"18":80,"19":58,"36":8,"37":58,"73":7,"74":21,"147":5,"148":8,"295":6,"590":4,"591":1,"9444":1},"sell_hypothesis_cartesian_sizes":{"arb/1":19435,"arb/10":90,"arb/1180":3,"arb/12":15,"arb/146":3,"arb/147":2,"arb/148":9,"arb/16":2,"arb/18":75,"arb/19":17,"arb/2":18737,"arb/20":17,"arb/294":1,"arb/295":1,"arb/296":2,"arb/3":115,"arb/36":30,"arb/37":15,"arb/38":11,"arb/4":5943,"arb/40":1,"arb/5":85,"arb/590":1,"arb/6":91,"arb/72":6,"arb/73":1,"arb/74":12,"arb/76":3,"arb/8":677,"arb/9":69,"retail/1":19989,"retail/10":2,"retail/18":1,"retail/2":18914,"retail/3":2,"retail/4":5931,"retail/6":1,"retail/8":629}},"validation":{"passed":true,"single_wad_mutation_rejections":100,"per_seed_trade_totals":{"9950016":12394,"9950017":12673,"9950018":10771,"9950019":12360,"9950020":9945,"9950021":11549,"9950022":11440,"9950023":10167},"total_trades":91299,"checks":["count reconciliation","trace digest","seed set","matrix totals","all logged bits belong to enumerated preimages","actual-path wad and bit replay","negative controls reject both hypotheses"],"enumeration_self_check_cases":861,"gate_P":{"matches_published_to_six_decimals":true,"command":"python3 -I research/solved/gates.py","stdout":"seed   perfect-info      gaussian+plain    gaussian+qm       lattice+qm\n10000  448.261189  443.455598  443.522608  443.663520\n10001  576.779199  571.463409  571.623551  571.977293\n10002  531.886497  525.168028  525.865859  526.411631\n","before_engine_patch":true},"gate_Q":"Not applicable: no policy selection or correction; prescribed engine measurement only.","gate_F":"Not applicable: no new or modified Solidity or Python fee policy.","sources":"All 12 quoted passages were downloaded again and checked for exact inclusion before packaging.","patch_whitespace":"git diff --check passed"},"measurement":{"run_batch_calls":1,"workers":1,"steps_per_seed":10000,"engine_seconds":37.55275623104535,"analysis_seconds":28.500749337952584,"under_one_hour":true,"per_command_timeout_seconds_max":470,"baseline":"VanillaStrategy, fixed 30 bps; each qt1 simulation alone against that baseline","config_method":"Unmodified MatchRunner._build_configs, with its module range(8) temporarily yielding exactly the prescribed seed indices, and canonical BASELINE_VARIANCE/build_base_config.","configs":[{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.001005603026110077,"gbm_dt":1.0,"retail_arrival_rate":0.9489636857544161,"retail_mean_size":19.52265733063981,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950016},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009147661768786867,"gbm_dt":1.0,"retail_arrival_rate":0.9775859702401877,"retail_mean_size":20.092575858369532,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950017},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009433736040831405,"gbm_dt":1.0,"retail_arrival_rate":0.7838869346794088,"retail_mean_size":19.702880679837563,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950018},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009138522702371801,"gbm_dt":1.0,"retail_arrival_rate":0.943584988134621,"retail_mean_size":20.15996745146165,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950019},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009554390910401846,"gbm_dt":1.0,"retail_arrival_rate":0.697628211983597,"retail_mean_size":20.42549853730071,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950020},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009012395984044296,"gbm_dt":1.0,"retail_arrival_rate":0.8666599852582259,"retail_mean_size":20.733408614543595,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950021},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009238895770528436,"gbm_dt":1.0,"retail_arrival_rate":0.8397884186889638,"retail_mean_size":19.02966863992501,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950022},{"n_steps":10000,"initial_price":100.0,"initial_x":100.0,"initial_y":10000.0,"gbm_mu":0.0,"gbm_sigma":0.0009127881309095674,"gbm_dt":1.0,"retail_arrival_rate":0.7238243334466432,"retail_mean_size":20.786065486656693,"retail_size_sigma":1.2,"retail_buy_prob":0.5,"seed":9950023}],"artifact_url":"https://api.imd.fun/artifacts/8a6e303b662e1a5ea9bb47f31acedd3988ef65b3ddb66d074517aa59ad41ca40","artifact_sha256":"8a6e303b662e1a5ea9bb47f31acedd3988ef65b3ddb66d074517aa59ad41ca40","artifact_bytes":62223,"artifact_note":"Response is Markdown; 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No configuration outside scratch checkout changed."},"examples":{"router/retail_only":{"csv":"9950016,1,0,80102094123461136,8022051855583251456,100071761906484543488,9992828955429844287488,1987507034621566,3705295024520414,0,execute_buy_x_with_y,100151864000607993856,9984836627643087454208,4590436384843101184,4620705631773202341,4636747977833644869,4666714836315231999,4636742341149875400,4666719230143899267,4570690251155677127","first_of_step":false},"arbitrageur/both":{"csv":"9950016,20,0,75207984356666208,7482725106403147776,100518284130425749504,9948438820368909598720,0,5993539531743184,1,execute_sell_x,100593492114782420992,9941000943271235551232,4590083727068348416,4620110817927616172,4636779054649432873,4666690737392892814,4636773762358021561,4666694826409070244,4573560102768540913","first_of_step":true},"arbitrageur/arb_only":{"csv":"9950016,31,0,31517980752639120,3138974524715040768,100501503131964456960,9950099937181430710272,5657877487330,6222169959521597,1,execute_sell_x,100533021112717099008,9946980493889707704320,4584703040759732224,4614250761049933477,4636774799380958371,4666694024685609756,4636772581500233792,4666695739617695475,4573823695705334108","first_of_step":true},"router/both":{"csv":"9950016,2914,0,132698026966153296,13150810080556808192,100385838898581127168,9961564409600520749056,5449329335308672,15315856080119,0,execute_buy_x_with_y,100518536925547282432,9948413800935879344128,4593948970568915968,4623592865977060376,4636773780146896797,4666694812654491476,4636764442353384335,4666702042278061029,4535141667972794553","first_of_step":false}},"source_sha256":[{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_sim_rs/src/amm/cfmm.rs","sha256":"bfaab0d22531d2d920d4fe108ae78ebde759e2b75e96ca4c8503f7979a92a80f"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_sim_rs/src/types/wad.rs","sha256":"23643ea8c3fb78b52ec194d821d9780412d863dd9b275d6e867e4f7fe1423c14"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_sim_rs/src/market/arbitrageur.rs","sha256":"f81bceb19ce315dfb457253f35e5dfc6cd78c587c54f06e873f0ef2e978f5503"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_sim_rs/src/market/router.rs","sha256":"3d726a0fff1f69e639a8345d722226888089fd33b4a825fd85ece6bbc565994d"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_sim_rs/src/simulation/engine.rs","sha256":"b505e05c1ab072855c708747421e382c31223fd65b7ae0402282bb07f6db2e56"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/match.py","sha256":"78915a1aa36341e61c29f333fb18b31a319f70ce3e8bc2f737ba8b003aea5c17"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/competition/config.py","sha256":"e4b13d9f271fe27e184157904e6e9f5079db7c49ec5c0e1a31b52daeea2c1f9c"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/amm_competition/evm/compiler.py","sha256":"52f6a4627a4aef298d3f3602ecc8dcdfa9c7e1b9c2d2145400af4898622307f4"},{"url":"https://raw.githubusercontent.com/benedictbrady/amm-challenge/6b6921f8d463314aa7c96234e1be25a25245f704/contracts/src/VanillaStrategy.sol","sha256":"62d40ccef0de99a385e332a36ddf9cbd1da73eda06bd7954492a9880cb91a572"},{"url":"https://raw.githubusercontent.com/gtmcknight/amm-sim/4812a6382311624e1506aca131ca35c378f930d9/research/solved/README.md","sha256":"02d2b51f17adbb5411a2a67f7a37255143ba381a73ff10abba557d7d23c0cef2"},{"url":"https://raw.githubusercontent.com/gtmcknight/amm-sim/4812a6382311624e1506aca131ca35c378f930d9/research/solved/gates.py","sha256":"603280c1f595ca163ffaf2ba1ebdc7945fdb08dabae67fc53c922d39e1cce604"},{"url":"https://api.imd.fun/artifacts/8a6e303b662e1a5ea9bb47f31acedd3988ef65b3ddb66d074517aa59ad41ca40","sha256":"8a6e303b662e1a5ea9bb47f31acedd3988ef65b3ddb66d074517aa59ad41ca40"}],"limitations":["Only eight prescribed seeds and unchanged qt1 measured. No performance improvement, policy scoring, Solidity implementation, gas estimate or submission is made.","A both result is a real ambiguity of the tested local observables; the truth label is not evidence that the other path is impossible.","Each callback independently allows all latent reserve doubles consistent with its prior reserve wads. No extra across-callback hidden-bit state filtering is imposed.","The finite enumerator explicitly accepts only positive, nonsaturated wads; all six amount/reserve wads per observed trade satisfied that domain. Zero or saturated observations would require separate handling.","Exact bit replay is verified for this pinned engine and build. Compiler changes, fast-math, or future engine arithmetic changes require a fresh check.","Raw CSV is disposable scratch and is not included under the 64,000-byte cap. Its digest, representative original rows, instrumentation and stdlib analysis/check code are included. An offline engine rebuild is not claimed; dependencies and original repository are not vendored."],"code":{"encoding":"base64(zlib(JSON UTF-8 object mapping relative paths to file contents))","sha256":"6b840c59af164826be05e8a5bf2dc7cec1a77b62f2e2a6c99db3d6b876ec09bc","sha256_applies_to":"decompressed UTF-8 bytes, before JSON 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CuyR2BJsXkLOA/07iJAYicP4NuzMbE0QA63lBDufNl7ugU3YASBTOkday5YIOQiMnjY2DopQk6j2GQFzDTEUU12zjXqvjR3XBlOcZe/0WqOyWop7wGoIrk2I2Cs+J/aEdqCjZUadKm4wCALHiSWe3NkrVpWcWD2TqINMcXfJKtTjnp+H/Et5XdMbWIdbM2LePjcVH0XImdcp2Cpg4im6FvONSafTBkWLnfkQmIywpNfXHy/j6Uu5bFgoqlaYWdlGCMD+meBkUGAvJNGAeycyUt3o3CpbsCJt2wiINYwqbXy/yfxPSKz93N0llN36uBEklgzQCsQ2iSD7nsNAfB+MOkKZ18zBEjKKDlUR83hL7KdBaeHXP0BTtb7Z98ukKW8GaJ6bsA2xrUCIDgcFAfqFDsAfOq1lxpycMF0sDIYYIPadQtqVosU5yieIJDwCr5+oXnfLqOlXJYfcOqpIARak6V1zjxadK3nUEYxXtFSr95QLwKXZUPqFMFUHX5VysgnyOitjPJ3k9lSfopyYPYmDI4+jVYBtMm7ItkhesbqTO091ESVydTQgTFikjiE9LC0pDYvs4f1HNwIncrpDr3d7trtoybGvEmiR6+RFgsAAGQ+VUSBTK4hFESE02jHqCVYKxJ9thE43lpLZrDi12wklgLgZsyo73KLdLcP7+nWh+umOlc7FAnOrDTLWDYWDGhLXUSfGNA9GG6nDOyBUNk1i7IHyX02Kj6PgS/urL5FCmEhKVQ9FB1WDKi6AI4msBop3EM3kELoNMB54cMbPFk3QAuGKlzUCOC70Zb4vlJYyls7vYzBvvZkPaCRSBh4ZCsNM2zllHOCtcCKOPfenQOOb8WUkEB1A9jf+0phKTfhU9bo7bJw8LaNkUoqLQPXuCQmNpukhZSM7720JDkVCRRj9IMs27iULjyEtpdiyB/KMsTWj5YyYcmFNCtlsADi6eVcS9SDB88FQGY7rM0hOTGShoOaKMcljmn2vu52s97Q+V2+3/nlGp9/fXgVuZTLg8EWcSnofnJjJ9VwwkYX8HMCbs2WG9bMI7g8yIPcp6EKUWoZEs3xo4u9BBvs9atbenuz/ri6vL44XPlSbi4V3/TImIx3JD0AsMYgER6tVwBXZ4vvPljAC8BUX4lzBq1ERKyQgy+/LY/C78j1KVLp49OhTOIHu8yhO7Cm0wNbExJ8vhm63CKmGutzSS53cO1YBS6/gzb65DkUQITSECYp+jk9b7QVm/QW96XVuqUwTs/DOA5CKSKwIzQBSNcxuLDLJTduHQsQN/R+j6H+HUROExvB3zj08dpqUphYi19oayDw3OF2Rq0mWq4UnS+IOMNHGt7hV40ijBbwN3KNWdlpi7pvYgvfMaz5xRxujYU3XiZTwNHAd8t5lz9pAEETgAZMUIlhG+I0E5DJaZmJQ/wtYIzdgSo2GpnFzDrUtroBsJ7QM2sX2puYuGQP7xEAHUcMFMLIDXHCRyBsCgkvaAROp8tMQp2Sq+QQOBKlao/jRl3KA4f76/yKJ+MhuMpCK84uNxsH1cxB8aCAlzW4B47RCGOhKgfvwNByK8mXwlJtSSZopkc6Th/aejOVwzi/+HFBnw4Oz5xeiy508wNnEUzM3ekBvq1VHDssMrGHLeZiYH/SSSSBFoxgEEVSC620mrtpr2rvxFbaD0vpLnMXbJvVxJWKVe0COxA9+VioANg5L6A4rpPvwcVs8ii2V6gurLP446cS4/bq5usTuOPV7VOOHT0m6v789ddXN1gLEs7b7RhTuUxQ8WVytLzJpetlc0sO+M8EX6NVDFRDrVr21nsETYT5gv8ZLj3FIpqBwNF4mjnj25VOrPr5Dsa+vvjtzTsml3ZnUqyjtiYarBsQITBS9RIMPJc3sGqCgmRwI2maolaj9GhACRCN8jie6N4fD6I+XazbU7LlRoiv1+uLN15637uJw3C1kLuLvkfW/LyEKGsjqHEU32wrovd9AA6WGmQHwWUHZRBfNAgELxTEGZp3dy+On17mrn+kixUC9PYkmRw5SFpONHAcPAQRLoMbGavHviFayuwTiCF4kDpBGxC0iWwZPSLKpzCURRC0aSbn76rLxy4XF4fXBue7L/WW64TT8HbbxjJ1wrCM5ECyNHrYAKZcYve1wuiiQ6gsESTMt+JTjc50KzQ6SIrRPPfYUncArzOZ7prhfwpquL28pov1ywUjaJql8kMd3Efv8CsAcvCnLMl6NRxfNGB6zggogYswXlaCVLZWEa1iQSjNbBKvWs359mLV5bzTdgLKuqUWFXPUq1kgInDGVKvNPrUMdOubAVMK0cNj1hLaiNJa88UEvKILlmZANV9b1BoYaDNFARc6Ax1sBnANbDbBSoHEQzFa+mZKQdQD3fBNBoKCwWrYkkBHQQVBDVMeKbTXlrOdgDZuKToLN+0olO7x/2TAG3sS9s4ULMdiLTISdI0J3NbAvmBrun05NkMDEX9uLf38y6+fplLGl9GyYYBHoGNDCCRPcwPSAPvzFLP1mjeAlTiwvUrD+pgHFCyG3iqAiZTqjl/Y3gGM72eC9N5JzmNdwJR/PgmtT9nmcgf6PjdHKTtwrWaVcgmguDX4twtaTAC7BF4n12xqybpYiwWplsGgzxkAZ1YBpkD6Uig9jOGogDkN6OUovfgKJeZka8qRYonwpNlpVSqYSKMuJCFmkDBOacydww583vnl9qd+vksmfSoYu7jf9bm9vK+rO7SBZSpzg+QUioV5BqBQ2HX0SavARioMcumyUe8LQ6bC1GKoiQcemQCQHtJ81cQznHV4QOUWMupcpXhCzNfzqM42UCKhEjqQQC8Zugt24SUl070ZEYjbsws52QaXlmcX9JnwnzOTjGmZ5SSAmCihYRd6Fht7b5JFfOwGwSKMbsjlws4h3mPNCPmIgo4JbJrsPS2eJg/PCzivb+EFb243clcDYZ/VeHUtFXs4+XhFfz9v1lfrqYu1sIwCWyJseHLQ45rBHcAtIwBQKtS0ZKtEYujAkOKUPngQsEhSUsH+e+/dca69ois61wYD57+ur+R45s2zotCf8SXXP2/PtVXHq6JagV3sGPx72UbY5YzCfw2DkDygQ666CN4Z2NhkudkMLwfQnBU9czPsY3WgqCVnM8wME71fyvlq/ahRD4/eGsz23+q9BGMiQf0t+JRJHZTBewbCbAV+0HYBZXAj6CsQ8oIdORjJOXjnorDtAKuzTmNfEO+1IMQpkJ0UPdeg9WGljeZFGtWm+aRx9EECKCN60FbgWOAuAuOfzQUzuL5lpz/TxXh1Vy/o4AIufEgfljlxQbDC1mlSBYBdxKKdhUOEmwcIMRYOPyQXKjDfqLEj6AeSmE3NJYZcaphxmljGx13zENmcsuSn177X0vXspObRMkmzAdoMyjeoR4eYDc0FIdSMaevCwDpbqIj/YL6VA2J7NoGPJ/c8FHR+/ySJU/DM4+ve6/AVYNT71hMF28SwrQFhPrUYTWIb9fBEhHKzQHEmNPajeGt4NNepAgrNHiTv9Tk4WE5diKUYiZrtjS1LrulpmCGfnHEWfipyUnbCuQ4B9QeOpeD01AOwzY7qamnhmxCA2x2GTrdNuEvHUkzw6ubvxLVeTSRX1IVqmrsLsfoMpUbgL/DUMbAahO9dmp4YwMoJIQ7MBewOogMmZEB/G5WsjPLq7n8c680lTd64+oW8mWe46sCpphigoLFW5/EvSj6QAVdtFABuWYJYC0UBdyFvM4hNCSbEGQXYW4/W2vePDynT9+009Pcn7fHkm7ybgCosHf4bLo5ScLDzYUrXQ71SOkx8UOqDgyUwvQJCoNkHrQw2pusBfPz2vLvbq5V24Tv/RTX8VTFBGjcfwdXfMSNROihcM53c8JHL6OC2fXioRS2QQGmlZ69tY8DzxrAWUEGvqvAXDX/aj5+xP6x8K58u7zp53Xd++GYRWLNUToomDBVGGMRi9VIFJsGgSDEACGvyeIJTFeOaOEipJwtuC49AQVOHpdXfWQYbOR/r2yvevfx8+3WyV1BeqFWQR4BrFWhfI4czI4XhiskAs1opYwRBQ4CQDIwIoLAXmNUIsedqSylt3jdu5CPLjUxlPCy1tXlokreplWoxMHDPmtugvQBctth0cpxB9Evx0TbsbatwnSnlFFqxHOad/VM8nHJlC90VItRzLL4AqjcHYob/K7GMxLFFcNdaKkllUxo1azQljq3xelPEIPvYyt/UfWR2yUvl4EQ4pwJMI94iBpeimY8MlmULF+OhebDSHFNLAo/lazfDDwD1avAyPE+/bcVPvXHe64ZqOD1PNFq76Kq2KilYrgUA6exBxE0BCLEePNzWnqqkEEDUwwBjK6w8dAag791w0t4B9OMxwxNyf/z3w/rPry/Wj3+x2p7j6aW2XTylBcLz45CDI+z1Ws+Q1k8tufBJeLftka5Bn55Oxp+329qhzue3unfPtFvkfiOuG7m8vti7y/yZLr7wanOyLtzL4t2qfRucrQOWc7kk7cxWNPWF9ARz2O4RvpP4kp2xrTvQGTUJeLmesgfKb8dzIvaVYHL/ZoWx3m6b0OU5y99vZSpGlYVqnxGEB1AJ+GrDun3PzgYwNHBZxCqq8HmAusRdaxMLrKVythJqbDVbSzNtsB5WJNfr/vnJAh4e396sLrany+X+XQ55jVsop6hngDaTSramkge5h2QAa2OxJrdhGpFlsvjfYqLYXDRVHDpDtZXElU8QzBslcP/yiU6HfiEeZEHdQXMZfKh4b4o3taTROSc9iWsR/lN61QtiX5yNLvvWulbHa4r5PLHf3OLDvk5F+mUyoQJQZxOp3XUovK/eM0w8eUOJjNZu+0bZRI9V+RAG9aIYtpUagWkyz9+ibb5e36wfi6gOHdkyJ/GGu1a1xtzBRxmYpUETqxY7NU8DIC15jmxG8Tlyrdkh5FdNf++paUnMG5K7XlxMJN2k+5Bw224u3tqH5V5g2tt5Cgos1X8NmBRYIJqdxwupd7KtIQB0VxhuLSkEsh5kZFf9qd3XJGdw+0DDpTZTbz0psJuveOXrVQM8lRCYd4k+SxDUDIbqHVSiVRMbBBKtsVpP3l0A4hHmEeHjd2ftWhhMHEdg1STP3Nv82cbd0dObVAHL137tk0VRdZnTCwB6ya6LI7ajwoqSG+TiMCN4LSOP0kIzYO9wDBKGByr2rQdDzrIrxy9lTj+n2++D9TLhd6lCgtGh1hwFy++muQpCKojj0Hg7mt6vw8mNwbnA6bGDjUAsAjdofKScTftNpSIn9mHY65T5fqQ2IGJX/NcbdruCmDdnwVi5G0Q5raspFcEfsS7pdV4GhRDbq09gCQgRMw1991ZzrmVBe80/v00GbrkE6hy1PjBUC+ZnXEMErHAU2u+k1dBq0SOaHnxNAjVy0Vk9xwoRDLg068PpMnhqTnyaDM6nC6qWUobeMoAOwe0BLShfhKE4p+mf4ME2emdIiyAQPrxWqmiXWgRUQAZw5cbOzfnHx8O450XZby02fts56GuiXE6nsh4T5V1ZnuWSnKca80jdI/LA53hNbnGaDtJayxTJ1pYHJQbHovJKqNkXpTWny3KmIeBvFPOusn6KnizUpQi+PBm2phiKmUykBlfl4ahDFUWBwUbW7h56WWUQ77V6Ry9lEiRrUvp9EvuPrfquvcAisZsreLoduXWoS8xJkg2pNEo2UgKd76UPbV3lAkw1GyJNqbLK32DObiaDcL8+4/tpSPMCth4A4DlJfb067xe7vJZDV+YW0hFTihWCG29WGwuOkfMYBGqgHQfB3Lq1AkKvlDUOl5tLjsD/PXm4+DhLeaTzliY2Pi0E2kRcHt612LVtck2ZHSNwc9Yafz3NZNeh8ZqGFbUhsTESqLXKxTjTZi5W+Gm/pzseXlysrm9gEP1283QQtgE6qvnRUWxXn65257iPD66/rF5Tifteiu/W341hM+odbOOilZbeNhhO41gS1ZCClmUOBHWwHV9joQzxgjw2rLMGezxvS0nO+XrDenz5APh/3x4agvVOpY/bpbyrAUbOtjubwK3hVnspTu8ybIHuBeODSwJn62FcGY5mDO3TJQbo2mo7PJm1nBcKdWBCfqGTvhYlafVFSW3kmn3ITkzPvGt0DahvoA6GwYBAg7UjjQHpzVrJqs3tOBxXgKei6Gdu8nlPmUnjGo/ZEJMM+tNmfft4dH79pW/La4cR0u1vOpg40OWXaURL9Z4qldlYIKJmYHsVpHw3yCaHHE2OrF3idh3zSkI4HxEOvNdCoLAx+pzyyda5X6Z1uhyOFGQtJw7SlXpGTA/g6XoXyg78PAYgmIpf+JJr92Sc60Uk+JG0AinkSh6U1cZ36GugIpo8u1qo3b4bAD+p+Qwf5HMvZLrtURMpwcWkuR6BByGHkoax0KIC+ViokFBUklLeo9mRTjn7iS7k6ub9ikoMUHAOHANCfpQyOJVMAMaIdGAXubiiFd7wcJAK0HAWEFbrKMSQEAjd7Cm1bDZTudV+qT32tVPLNtlMotVzIwK5Jk51lJS8FmXFFm2qlhtT8l0rEEGYgmvJy5D2+t3sXsr0LhVifj8HYU1wtYekcanLOabck9PSD3g8Zp+hvq0EILuk3R5TBxjRE7qa9e6lxZar1Xsr2AKQnptt3rFbzZE5QMtALl+LD6xtE/RmhNlZbasrBl6LrdVyNO4DEEIbMQLgCp6OzNrsIqZgy0zjt+d98fY6z7xh/s9ReSzVraZjgY0CIpkMGxqYWeg+W/jyZnMkxDKtYfIKPCr0XVtUgeHBdxljtXfX0vIYk2hsGd3opkXThqaM479dITEifwugYQLiRq0wRKIda3wF52U4cvitYgEym46MOiqL1+9p5kTwspJqIrwtVFbSE/xa7D3CzxmYt2hJm2l6baWVmwRS2hHgdHIUa7mJVSfYPMCB5mPOphaN1S/C94PFDm9Pl9H1ohVD0fVmuindkvrqwSAV8FKweJh4dtqFQdtQuQF2AQIOsN2jlRTizInqXjnt8alqu0Fqe4kdmizXP9J2q9Od1levm8LVT1MRPC/UU7SKdJAr9sMFeHlNv9Ua0BhDJwbWKUYzNBwIPw0uu5lhxkSPAFBct7Nbfz/+bkqTl1FkcKcwEK961OoxB7MFcewOwMxS6qRDk+qQqpOgJOC5JlwY/Ah2XjwN922rWerWKGfg79BbLM6V0ZrOlgk6d0Rnh0atqaZutdw4lSTaW24ESxkvSeDEg2dTGO+bq7yEFksd7UviqH1XQSrED++9cVzjrjd51/yN5Ib2P9F+YH2wqx5suZgGEA2X02ufX8oui++8T9za7IYKLTSCywEbVolg6LtSM9Gi6lZ3R3tAhmZ4igJaqQPTI+eAPUqRdIoVVyipnLKkG9p+eccldQ4Wzh/cT/mwDpzCXjQrFBKPnjVxQRtraZ1YzyCDPWsj3dJ8oAT0xKcsSRNp3nFJCNmGqoOJj9JIh2aJF4kcGqA7Z6850UEHjgTwfaBc7JOzWKwAIwEa9ZnuRPta9/2zZ3fbdn90sro6B8vT8WPnF6s9ZndB7bVI8OJg5sCLhoUOfENrEIS3tcDPAzGXWAisgHaNKDpCghcgxwjLbL3thndkD8LXkvbl5nH8pH8/LQM/3i/n4+7D33ha9EluHlIt3y1hWWvoWzfgPHl0ONzWoTQRylXBGV1OxDoejA0BSA+iAOkYIIsK+7E6ZejE6qRnhJG2q98gCr9QRlepAAojgkEg4LLeXqSQgnaxt85Il259kcBeUXWEk+zk9VZbq7U558HfIInNuYzVWdzva6/CuXa/QTxhoXMRvQKBlWjO9s6/dIQFaEK1w9dmQtOgkRNkVIBSdfo119GgKIjdJplav1k8aX/E6VvL2e96dryXCkEsjUoUQrAhUE4CX6fOBgEIDlo7P2WoDwMnpJYGgJskB2dTvLaWbmYW3dwfXk8QyoXye7SqZmjn3pE79m9EqxQyeCDPWBAxuZDJNKJvtGsALckDxXX4S51OfZxQPh3S/yZqeVe1/BLs5YXoNcCogydsNVVA1xaaLQn0wTFwkMsdkCLnlpyjogOvTCrwDXfzrbQNXminFnE+pLE+xY2+vv76uizux29P6MdSLZ4KgWVlo4krBJCetZ+Ih86HSGbACFxygLu2KWPRauZctIcDoFWphHA7S7Dn1rNU9uuuw/2QqEXmqQ71WRTqSBGBrjH21OjdN6BiqZ1jdJXZ5hSrhwX4QsfT+Ccmpn/jVi6l3MKxmqoVOhVa3kLQeREBqxxao1Ata+NO/NM541oDYEDUi0aHvI3aSqDZrdzBoHdrUO8NopKB2x0lD3jY0iLCdUB4Et+SoQJbjOxNN0A7mYsb4n0I2tsxwm/Pr2Rzubo5p7Z6v+HB4JFRSZlOFAA/0Qth6GZIYPlxFMAPq1PPdVJrAYqDgWHrYIyAKTrsvIT59fzyfughDzDKGAihImIHNBse6FtvVBAxoHI64d5I0AKaGqGPgzXEgN1E5939HNKjC7mkPun4FgoFPVQFiaZ2m0k7dHgdWtMyKHPzCPuWQYor4FHSYuXhsyDqVzZgGdTi8XzfwyvtGT/xsrvNRM77Mn5SvG29EmOBjTQtJhidEBw70AJgcoKSgkABHjcsWBlqDoGADHzRJIC5ibLHZ8c/5E9N1N5+P9Hr5/wzrb7cPvzub9v9V16sP+1BbZ1Uc8XgpC8vs07Jup7+0MONWKhPls6+y4AXejKm3c4FThwGk1gBpilxxFiiKbY6bagQADEB3AFNQtVmIuO1rrRzC7+8vjjXTMb+fulGjRK5bAwgBoiZjcnm4YfXliBDZ3GAZvDwLRfNKmZynXiQUlnNNh8zZZfXtFndfD3fdrqQh0WdsPxd0SS0cXN+c3t9MV1jvFAZFYJBJEQtTw0xoMARIRJI0G4oTk9RmWr02PIkbtdfTGesmxysJQlzrYF+x4v73Te/pImZHUt1WWlgWUa0DisCsgDKGMsOEI49WFapsepQll44eMO2CEsiRE7RqowBeHdcKo/zJh6aJd3js7MHbP2G3ljHxOL03GsZNwGfq/MEBpxC6lqRZlMANN+ZSHRQD99YdEidtxUYvupQPtAZzQ2AuGaaJO7nZkyIJu9lQh+WAZ/kXuGJ+9RxflmoOlGPfLBu7bAxpBUqHUAx6rA+Sdr7NcY6bMgDgd07D4ovBBejBX4l8HH8r1/hfgmvLnm/cPsQmi10BOhT0NwfnZwhQYLHWrnwsAWYePTUDJG3oQssaESL5Xrr1Y604A1/kWbG3Twh5u9/S97IY/XzZGr4MjinmcHOAXkXVxvzCF2nVGhSSKk6H6UkTpRJ23Jp1aRU2zyQuZjhegn5+PnHQ/bpty95qSOfYD0oPahDdCIW7BdAV6Rlbl170A0Qka454DVwHeDLoxWAEDhQO4y1Jf3mJa9p6pbYLnMjAMdnYw7aJBasJHWrzUg0uR10F9YudjgdRJxzMlkGdl2bx+poKE5gVjzLrf62mkr+cB/CQlhQwGb1xEKH7wlngxWZmMGkUgFAZEAG7hQQ9Ybz7HYdIskzN4H5Ojqeza7reHYdtHtwd/3/7NHNr9zOtWuDNpKawNrX680NNSAsullfPv3ti8f3N2mTkeKNzTn3vvkhIg8L3W1r/w9nuBkRqIntqdjdUDxVKm8HmLuWT1QCKgUbdtiL6Lro2ElTZnbhQY6vLfdhX95N74C5vbM+hgrymxK8hjYwKKI9Wseuvd1o1OBBkhaRZ7wS/D5UV6TrtZs5Xe9+R2z6qK9TmrGMqxlUtJQqG62U1+a1OWphqOy4SUoM/G5adsOTiaEN4HVJbDQgu+KY8muu5qX5Ha5roTNg7bONEEjdaUMjKoBP1vYRdRKgNiAT4+FJtaOFZhN3BkOFkQgoqQVhLfP7f7dHr2zmdroFlwcwWAYtAR6bys7GAN7VGkx6RJh1S80ikHgte8dTzcgxIeksSGxl4hC1kiOwpxNvAp7nFhw5sJgRzBd3N0bkADos4/tGAveyVeefOg2UYOWmtcQgZIHAJdhKpaiKouUF8AqEUJSzSzABMNNT70fuy8TmSqkOW/B/plfvU79AYenL+3WO6KAaXXotoKAekbjqWKHcwEd9D6o0EJjXDL6udZYAHB0QTLtnjVY5xePg8kgX0FeXfg7Vekd/6AGntHsd+FYglzyUx4CX6tSMWOEIjWg/IDg/WFmyOmaYaoHHHHq+L6feJU/WCEEd/N1qX5HLXfPMiYbPC9XTuWK9B3gremrDMJkkuYGOxtwjQmij3ormcVett0s1m9IcqBhZA70Zxy1ot5C7pp4fN7cXr+ctT/zBRDrKMpoB0gGi4UfMoJaVdYQ5GLbzo1nwzpik0zCmN50KsAOvWrfjuReDmNL9bKS8oF+/fpzGSMtND3WmZNX0SgMAQNueiC8m6QyOErx1NkfGsshG/FNs0xYJxUeTdIQYzWzr9nr1ahC4o9tTm2eXGnbAJXewKU5GE9GLad4m4loifL3VIT9GZ4XZXmHPcbhQTQAcHNUCOs9ev2Et03lRy3hoxC7Xd922EcmB3KOpHZFLU3+8G5aYdJfgrLkVgF0HAtYCwr8NxeRa7PxSrm5/Od/Qz9PYZbGbK+8opaoF/d6w3t2UnjkEHxrwWMqGqo27+8MA6g9or4lgOdXuoKLllUm2O44ycZu4zOFM1GP/ktgCHYcApeOAvdIeItAqnVKTh6Z691bBvigCpuollYmdrEWImc29vZTL/nlzePC41NjXrlmcw/YItu4G9KgL6Psw2IjGteuYRaiZNOMc++ZTBrJr1TaAbwvkUF5Zy3qMycGvdampPKUYm9rYDdtpxieuNcE7D0Ac7X6tM+JBDAJ0TBDEutAAd9SZbgA8dmaE9P5B/IzPu7p9z6S42Ni4oGMXxsgwHifAKEGgfhV4X6e5NVgXgE0ETZCsjcDg65vOVAIG9LOj4J8XPOsTfLnri2czxPG9buTTU/HG7tHN8583u+vSp16gL3p+zsvyaBe6sNA5fC9VM8+zmGF8E4LgTNGRzTXCERlbxBqr/cQcmGdMvvjGHthQh252WMesSCekdbokHqV/KIplYlD2oxSy3mQs08aUdNYza5eKZIL1UbOQYGO5WBDszECBzmUTW2BEKwhkVhRvWfdh9c6Ck0+Ag0B00m5kVwCdjLY6TQIZkkqwzkMVUnMgUKzH0CTY91E6nHx28CqzgfeZCkwcCy7UtltThKvm5/vsA3cfsaoRolj8f6cFCqlY4ApHABpcnbb/tDQGx6bK3n6nbbxzCxOrXojigr4ZA+5ayQr1qhUxmqIESJ8ClapB2lVQ/wKJGIhHut7hggRKMaG05ez4yR8eGvJC5/MFfD4wgeUiRHCnVEcv2isaIUFiwDYTe1PYBepdmya67IyxuWt9vgtvDBO/SToPr3w3ymeyFqeYpBNuRA8IfdCGgi57ACFHbMagGgGCAEcrVAhBQAuqtJeaXsTYU2/u7wjEqwL42K9vp+Zx5oUu3SpWH1pjyTrDCq7dN6X2WUSsFNErJ9HKsqxN5Fl/L6Uizom6fufbt9y+zkhg3f42MQLAfPBL4UUgJkqaw9Iz6cQrUEQdFu9HRDg3TWcjs09AjNlCEIh4nrSqt1RYEgLF8fU/4PhX1vt0XHgwHHepi6I6MoilYnqPCI/AoBWE4snmCgQcs059EquNGLzzpYNxer8rT2MEvxZnkyGfurW/WI5drkI1ZU0wwQaOkbznkrMFpq8puoJo5jXzSBMCU/GlZONh62IDuL+2AQ12tmpwKjvr5WjmvNC6cq2AViRYHudKVd205wB/TMGAuoDjRK0bVrcdAcmYsXfeWKMjU82gk9sLtNXN/k8vhzZ/fzDs5zHtcToT7fsjiW0vZqq/TEw5NYtp5o3fa2t8aCHpQI3SQAFstDb6XgWBo0gTjnm0gugACxuUta88oPLQapyenAe9PiEH7u3z1E+8f7zGpk627VuoE0LM3TBYQlBRtVDBlpjEGDLdZ2DoxFLbztMAVMNgB7hEYIAUYJPB84dy1xPtGt2HutCuU+GWI7Y6mgR0BHCUBHg56Lgo4l6SJmCDCwQ2HOF2fB2uAlLmpJQpmVNCxf2i9Jy4f/n46ZY2j+0abzvD2Fav28fB30/s9TKBhXqyGjDBg0orw8AKoneIIN0lbTytfUGiTtnaFbyWLh7GMbggkvrgZ1JDt5d7vR/6l9eTeQ5rhN+tpBXkwjvHo8IV2G5jLpxKBR/xtojJRrs9Wm1yFC1YpTZpjrvuGZrYx7HPlnzfd417t/HBo0ZgYZ+zDkXCeqKeFkabIpS/d42rCDR4SF7syNr91mTWyWBODMHoT+lTeUpzyaehL4c37QtNUiJpaQTjOVOoOhivWa3VMc64PHoAgKgtNqBiHWI/Ru/Y89zgIIaDs8unsua9xZ03Ve0rPni+/Wm+aEDaKVmMhx/zXrIEw3DALt06bcSpPZGgK8GDkFdqFuLLgJjVBulCAdEhw3UGH13yFCw42KxFPBPSu2mHbdqtsGu/noLVUOehA2JTImDriCgBkx5Am60XO2pA6IOLI6vTJCnNVKFM6sLcpr5MbDsgjkvVupnYi/ZpK0qFKzePBRvvYCuaxwiXN8TlHBAFdISsnsA3HysEYKKvVGbb8U7n5R168GWOgK2O/dU7HN/0TJcQ6TvMvacB2wca1wxt+L4UUqYCupiUYjTrE1nn8ly3xoksxNm9/Vk243IyC2ChyxNKXvvjC8iT3hYYAiIT0flhpepIPx0blUh4JFNKbDSi6zm1fDdCafYu6Pr6p10kLmnyMHeZBWkxvPgehN3YnduIdnD3TGC/A/xeJ0E1nfQHX16NjtDpmlytHVq0Jd9xRHJqafT1ZnW50skY59qoY/q2daGZ5M3rATUMEWgbEUnnGTvbwX/d0IOrTGQGnJYJQUTPdFroVts5YZfx6HjHkf32Y3s88Kl2SbHqw5HgrGhecp2X9C0u1jopN8qgHcBgKYQ0LAdbm2W9OzfJ5TIGWW3aSoUi61RT7ghUkXJJNhwv5oJZX3wUXr1h7W4Sni+UPFhhD1l61WrRKKkLSGxsMQQuIGKdEyIZl8aaRekrdAK6A9baqiUQGH59lumK5aSNvx8IfRCslur71Ur0xpiwaw8BlxC1yWzAkwoA7rWWL9hRNNcn6qQU70V27WibuAJ0ezxet9XN+e5++/Eo5fz5ycq4oE9PJaSfCf85s19S+jj19NhExPuGeNY8VXvtOlf8st5sP6/GzbPZhwCCVzf0y/4Zy1c9nHnsBaTTDcfqYm8G8UmjEa6n8/P8Qond3Nn4EGuVBO0DqQDmzvDPOmiXk/PVUKASRu5J+252/Be0H1r3g9LM2BLafKRN/6wjRH7e7F9Uv151ev117Scil1vo8nUo00gu2QSIXAA8SIq3lcliicHlCtxJriFywckDgmreP7Hoxb7YUk4d235f5XZYHrWXunEksfVYTQXkdN5uVxesN7dj9enZL8ZYPfv5+cRwuJGrkzzI4We828Y0G1rMGW5zDMQOBpePyVkdq1eMdb1JQWBtQ68NinGIwFWc9jkOQZMFjyedHwj4hjafBN9KfoFzvTpJJjvxvpsoqnYs7sMEch0BskXtv5+0BFjA37S9uTb5ro60Fhy0gG1uKRlY7+gl+XRSf+dpfXpNEEeHyC8lCy3XQxitABCe4LaAJVpNBTpAPoiNTg8UsrYATto1uDTPOlo+srYsCDMp1RNHv3srfHlm8M2nwlNv+W7C86kba8n4RlaigbRaaMpEYDJFC4e5Zm2ga6VFx8PCkBiYpIN39TaazFxCPnXBOybIKV/1rWL8++2qfzmXzWY9Md9jsYp87S2pGZNFB/+RNmIWK4iVKdug5aKcwWpykUahmxxajxR8DiOBEg2Zvc+7F8QhRF0oWcXCcwKF4XtTyJ50iHfXYZXDlhBB48DV2ihaTF6c1dxryyR9sOZuVGPsyWY0s4m7vm8v13zfJW+JrGUoM7hat7F0aa5o7bNFDIcJsGbw1YqdSjFz8WBtjYeuVhFryjE0M+a2b3IpabGetNiZXQ9Tjo6KtQkc2mm2ddaZnGz00nxU1wwYpoXNj9B1TlPM2g2fa5tfCvFqKrdyqcQIhnKN4ThUTZvXWarOI7gRKfq0AWBMdnMDI1Ms4nmEEgz7EXIOlU2dX8uUe11qJrYYvRxnMc0lGllxSs8JDgOcz8VcvGnN6UDArgqm5dau2yQRAVxLx/pJYfqumd6O35zdjyA43mXvr28VzVJXeq0KyL8SC61xAQtOBYiGQCzc8CloGnSQlIIFlmG4I0ScWGrJTrO620zyz3Nx1OkOkvX1fmzT4rBLTR9JsYMRazlYr1Z8QNAgQijZZYxBubWHC7GJTkK2Q/tJujGgJ5AJgjXNdPV5wXwfO4ie3WdHf1t/zT0xv98cDEndGkpeGw3qYGGnd3hwdJKzqRyA60hDlLfdwZYQignOMNhWm3XQsZnRNXtHpN9sPEfFsdzsRuMc2JDVU+HhklhEKOakjUsKkQUb8AX0FUze65SfNrrRRrbatdzFmcGY8+I40Xg+Thfhp6VasHYdsqzuxI1ErphUmz4DWfR6YVShG12PNahS1lzcsLtPiL0gWjrXZwZZPhnMKXWVM2tfyplmRBfAssQC+OaLYPu73+VydDvIVlHMyYW5ltQMgxYCE+jlskvArv60tftTrWC698JSqQ9Q7mIzuK8XW3W2sq+5xKQVPwWAPGorT2tsKdoX3UctO1Mj0Do08j29ihY+sn7Jd6ws0VEf8FjYz2bIlJzgzLTpHu2IGIgtDDgDCekICEmlJCxXNEtWm8F7+4br7xcDP17b2Ov+6f1cfaxd5wuUTiP53ZDJIiBPOreuYptDcIGAEwbQE+AgkFV3lTppMsfo2cubxtq8tvKnA9/36meaDAGaj6IjqVzJ1jtvrBPjRHtSjUK591yqqV6Bgc6Tt3qBAE7Jw/U+Tlr+aXH+6/rqHe8LtDl2swlKbUFYNOky+iAjaOfl5mIqWjSmybBeYgMcSEppOrgreVPhAU9pRfSwrJOaPe6/8kAKSzFTp3N9wDCNSQ5RnuHVwSGkxN3oXR4SvEtDmnYNgbvzBE6q7aZ91Faj9bgT0GOmbRO6PGf5+608tZ9+eKwX/q8mtGxk3KeoTswgXqiWRvuNjhYEmmBDdlWbL8toWRMCsWSBkgDd7ErvYAEhjx616USx7BEMZsZc3a/l/HHM1wkLPzpMfqHVVyedS4W/25W5OkAWra7Ra3OfEdGbNuxyI1K0YJIl6bVyE04j5c7D0zuMsdxdgk2aiF2oTb1TCNM0ZV64eoZ9IHRG343p2vBZbEMgYIA9k71VedligrEhGmfLcUdBn3Uy94a2q6cTzOd5onf3fVplckk3dPQW8DVh7b3DRMu/hZodconRA14AKCGoRD3F9YARzsQae9ZUBc3VH8ZrA4aYK2xKIaMOTdSC1t8stbfI5+G1h8c11i5U0KDD1Sr5DCOKzQEiRldSiokJ/7dRDpAaHAo3U3NN3rsc2Uk2Wsc33xluIz8d1maUxQ4ELUJlVYBLhW1oKeQWUkoDRuIT4mluO2fh4R40uowYYtUzf6x/ZGP9bHHVs5GIL1qvPM2nf9j2n+4K0zbXG9m79909xyMtrt27FZ/oGfq37et3cIef8kLSYTFJ5wA+bS2bIWxCpUDWDL09MT1Waz3l2jSdg4OAkOaS8IAjOHpuiOBx5iTrTkL3aUzbN5VqHEj3hTjictPREHIN/O9woeUIAAO03hy7DqjSyMEjlyBlxKHlngAxHajNwdLEpd79zNUk3W7gX87l6tPqSs4v1/jwx5ne/fzLr5+mFfKuH9aRm/QjIt6sruWS94aBX+NNvtiDxlJ3M0t0tO2NnLerEzfl6dPeTUd9Nm7A37cWCjiT0n89a02jsXgwzT44Iy4GICnABk4Cf5fzboR7Asqa6d1+cbH+ei6ra1f94xHj48OMj33+8FDWhyNWX6TuPC+SesXb3A/Tvu9LvDe48iSjGdpeqb7fHNtRmB0VUzjE1APFoIP3QGKlAsulLNa57o0L1oLcNmySF99GSiFURO7j0fhuMsJbpuo8qPx7dRBsbF1wzrHy1uoJSwKKY72MBs4PAxGLIA/EVx172oF4o47tFCpuIPiO32eYwuTU4rhQXmgDMasu+OGDTwjJOoq+WyMIFllYC9biQEB2EYCi1hJd1ryVxABe0ATps5Nct9MzW+fWfruaGq/u7EKAnQx8zaDaAlP3FXvaGMgK0ZG69lnyVgexVYQAE8VVLVkz2Henl7Qxzgziu/Msu628dymbL+dj7I4szcGzXan/i2dx4nXp6dkz+d4Pu35+1fb0MDz92bfU6B+fSzCV0vyYXnGf1TmbtvhitO/dk4ez/AdbeNAhfMs7Wni8Ke9PdHGrWWhvnHX47L0PEzWW6k2kg/24UPIZthThcoB6wRFhbT7bVvWsPGVqknuBmerw7A7NlEZEYmfT6+8NbmKarlvMe6ZmJYOoBFcivr7oOLLWTTSxWw/f2Ub1qTjXis5wLVkHRpApFCTaHByfsJ5DMq/LWQieCFxfougdUDTXkYFVbAjDV9cScUzkdZJ7G511Tqs6TB1q0loaJjtOry7n42O588Sw1oWOJ3iI9gDs4NghGYN/atVDaTGLrsdkjWSjeevEjsDRgWn3NKBuMcrx8+utXGIFat/2w+uHMvOLD0vNpB+9eXJOtC9+0bGZLEkkI66xAWu2VbB3IJyDaPRhu3NRqDpqSWqr7rXF707ayimLX00dSS2USydRctJhUNHVYKNnOBUgOJMZziQ25mJFgLmpcTfsrC2NtK0TcJ0OpaW5VPdniFg2m6v1VOrwi/6Cbx638KwxwMTh5lJ98GLI8Mkx+1Z1RiBMx7R+178ePqxzCK7XrPOLem5VO+SkCkoDiCTOjtes/yEN/72urnqHp8p1gAFLQuTBMiyQ/m5WgtRO3SXA95ZgBUl73ZrhgPCGzTqTQObqf7Qd18Mh7V6643R9wc/aHUKnVK1vX03r3uIf52PqoADbvlAKswf45e4RYGsbwP7x7nZLDaJpIkcGF8qlGTAFQMaMoGZaKl5vvRDojksJ+k7Xq6f+2XPLxje6pKni5qVSNkJnWy2ic80c8V+xnZm9NTbkDORviIKqTJRRqzUxch7JRjD0pMXfM7Tn8NxtPGsj8o0Ha8dEtGBSbYumFJdGDpRzp8oRbjKNYavOGo5Fr7mFhitkqy9hDM+7i584iEeS9xeRdDuVHekXSvqRmilCF3JyHsTZaHeHEfV8TSzwESKNdgXofTQwqpCqJrX2UA1wSOYZFklbsempHmqvUcCL2e33tOOuI8LBIcPpVGDvYO0g4X2prlN11z4GYLnqmUsSm7WNyBg6/r2HkFwqXdVMkgG+Bg/QrmyA2xVMvdiZc/FDivW4vFNC74sXv1v6DAdfMszNe02zJCzemegN2dyTXoQgxOoFM/5zwwfEst57TkYQsI2xM4WJr9d13YG5ibUuRTOGN5aGNc4nLGQEiz3O3Q9tLd8Tt54NdSmOIQ2XFJtFYZ3oUmA7qaVXYOk5mPv29QYp08t+gLSLDGzOQEpsnLYeLFU7hHSbsoBC6QjnsSvpAP0NZjfD3CXfmzbqVS4C8jJLFl+s/N3SZStAAABiizpi1OXBAIaFEA60/KsG+MeiXURH0AxQ66HUlYd2g66A3mD9xy/EHw5SZndwFycmNtDVhcbthBKroSHKF3xJqZRhS9br7QTcCJo8QLYQCICpJPTGrln4twZVF+zqjOK+PNW5e7LXL+w1OXycTo1ZThgJQYzAB0CsEfUp5GopNCsAU96Upi1kg3OBfahQiKhwwlcin0zV2pbyijDesvTp7mdLLl4Q+jlbbdASKbPe6tqhbV1gC4hWCd6td00dqt5qtVYdGSgyF3Eej2YW//slguwDp6leZwul/2ZQq16abTqBPpgcBgK6cVRKKqYHU/XMDABolJG1q4A049sIxcH9N06nTHF3T2e7DwM9zx4meN4/3k2ym8p+mJuFqYjpcvW30wT7M6Rz2LDBLXVFxUBB3AG0ey5GIDwbKyEmgr6Kg8khohJFbWEPgVbQWAkR+EGHWCRX05iFmyk8HrFvY3mq1d+sn8439i7xHoV+P012divuJvHdy/uexDwvCHl8es9lvp91iY9MQKk2WPWru7W7JJ4IiAvNT8lRG4DZqj3vsCk+wfNlg9igTStL8NV1HTCDgKlFX7kkN0r3Whqm3f/8iVXrR8YMvfXeTWfxvKNwNGcyG6xSk3RshEB86APxM3cOo2idf7QuB+C+FuIoQTxXKLW23wU8Dm+4bNybKfW6CN53+FLIFsDBJovIaLzFGrW6yrpR4RuNh5PUrlEFWNil3LvvwBp4kUk6SjrlVweHP1eW2aVfTN0uLEVx4LSIOVadaizDmaIIkNWXAQFbaSklRI1UvQcpBDqOiKQIEAnBI+rRwyz+XX262pnD4XKWypDOOYbqK/TTMZwtFc1SK1reE4D5APqGXjSMonsYgmD3VK1bDw0crrK8TZnfmC6/vaA2ec+wUKulnit203kL11apYflBG711EzmZEAxiVyxJ79G1ur1bTpyBoDsXAMgx2wrtbs7S4cHgQkNpcwLnBMFuWdvacjMFIXRodxG4dTKt6HBz48DHhHIXYWIDzmNsjIOMzK/ky+odD6gqsHiCsQGFagc+1zkCoWaqoYGNaLPr4uCAXGaruYiBsRNBqBO2Dgr6CmI4PKCaU8eHnqWHPtYtVIpldAQMh5QVkSPIkGvGMHaUuvgB+wNd7TpvuWtzzxGz0WYKYzf8pM5MMelHUqCedex46tb6hlufu8loH2kLoKMDEqaa4C/ky8hJAy2pLYUA7XCpZCc2GGm7YaK5R6cDN1nnwmjTtGZGK7Yb1SdtcjKr9c8y8w7LEBfyzq7Ftms+Ta3pXS4z6KiQ1qiRs5S8FiR2bR+O7bZsBbQNphwQdkKw80k+683eoWzf3OKjH49jnw25O5r1cWpy0MN57suglhaK0dZrOhDico+5+RJYNPUwOh/LaHDv2Q0dgwjeH20Hw4VX1L4NucEbIqq5WUX4Os1ETV1KA1Kw1TaXI7DFGOIC9LfQcB1aLb7RoJRbdFWIc3WUANi1rWNpQKD5myn6m1rBTQjlsdPKIgODgb4tBOPYksm1VqrJkY+IFT42HZOFvR066xTMxCCEOJ2prZ3GsPf1/zuhPJx5LNLzU48sGhSYcjPKnoM32vvAqBgC6WFGTmaw14nR3WjzdqKeLfAsMEB9H5nc0PX79TGPsfosem4FRtasKwkkJSCiuqg5kqC2teJhSa2wTsjSjkRATmSqNmmZL+Z92dRravriMlfdySLEw/wzYgEcvsvYWJtaKJVb1vG22u6hy7DDJErJ9Jq4JZsbaQV/m51s9XTrf3AktFR/Fm01nKVS6Oqqo3cyAEqbgFFl7RhIVEeuOgeEwjAuaJ45HKCWNMcc2nGAt8uipKeWWkdaVRxm8d8n+rwZ+dx8Xm2PtIwCQqgLzRclGtH72vRYlqDm0Qg46ZDmIog2AoUUeELWQqQA1ang49WEpn3sRzx+c/G4mJMqGV+++t3WH4aAk2q1puZxVLFmFCuJwRMSyEEZOcWiJ1MI8GCsYD4uIBa01HM0odvfdIJ9YjOxm88bhObr9XpCMGWpi1gDPUimeT2W6cAPepfhusIbm4LxnqqxXuFDSL0p0c/wlm2A7mcACpqr+78fbfXKoneHmodJUnEZotQZlLbp8MZomAfInyk2sQMahudzCIzMwAiedI6wdiFlEIAevA8DxNGHuQEH+Hzh5/Mzn1Knnpp7HzvwVUmcHzzYa5j5ihTPj7TAWOjoADYEW0o5VUJ47EU7B8UgWXugGGEdo+lGEYXSwzs96Gu5Z/Y2SrF2vl/Ws5UfNg9fqAttllRAC/W2jp0mhuZeslA0XROZYw0lhjYqeGL11jhA56CjPgynVITL/PzLfV14vtOz23r19fzhYPcQNi8jBtcr+wxBGEMhjhpD19oQPZIFmE6ckw7KEOCenMWPLq1ZDzrprJbWzTCJfer4yqIVX1zQVCfCpXL1m4Dva1ejOhALUkA0rIWNF2d97S2C+7XaDMFXxgi9LtnUBn3hipiaWp+/3317epdK4Sfpk6XtC+WOs+9we8BNFdhKz9JSGTo1Erhh6ADlpOxANUIPd0sD+PWaP28169TI7FngrlE64/On3L0e9Ph/2F5LP1/uzAeIfbioc4i6di1J5Lg463QCuS9d95VDCVRZ+04iIGRTks6DGRHqLqGemszw11eEcNct/sCnxQ+2Li0C5uATQA78WGGdi0Bw4YB7FQg6UNKcJNHBAZBRs51zk8YA00CL3sC6j9/iH7kLfbHpew/3UpbuoPPV+ueTpDed8bObNbi09BpRqp6K8Y5BFvWaKrMxwUpN1iUeLnir+dcm2RCTtkfpeVjXmEIOM10VT1z+12uZmDUOh7gUK4aXj+rmGoCzb1qvlPMQGLppNBriIdBTTaEBQoUOlimWfYFAfA/AUG62zezTbLNDuLJMLxNXQG9r3OVmGC1vBMtNUrVeApsWgQUdD/BfbfIUgjXWiM/YQj36LTXPsuHbyYnly7VdG2lX1N6jbyYMoJPku7FQxxwcAAtrr1wgdhh61wHQVW8WgXctEH2boXKvnfXuFzYfHt7Pq+/j2IGJgdDLZObQjuUCuHOLRRmMy4FhjpoLX6Cn3jWhFnapeTmHJiYE8JtiqOnwzdn9fn6S9W79eLDlWa8lutfx9GS7dyFrAoE2KYMBYqUN3qciRJdqGrfeSAeFej0LRpw7ZU1b+XSJVe1mVr8j+OhwNsAfCDxtmGpAx0ohwCr41tHhVAA2EjCYqVEBGKAIMDf03DYzqODFpyztl9VUj/OlyrJatx2OMVt87a7TLBxsr+m0MKMjpxEodDxaDwjDoNkeO2daKzDnGEA2XturqynV09WEhW4XgIit0Yl/HmwEYUEboA5YkOWUdYy4tgOEu2mj5wTIDP2ssDvgRJdkzK7mqaL30DcsFNkoe/C7PsDxXeRheulENvVoqbfqtUjGIk4Ep0elhbwI/hW5U2dPafb+/n4FH/tdK/r3CgpGS7qG91xzHD2RDgkBgh+u6FkpsUuNOTZrGjBJBMclNwhU3CEuWhNns02el3S912wyU0ndAZCVjgqER9P0oTRUnwwoadN6xhJt1cnIpYKrMQ0PBwgvkkDj7OtdrP86t+SLL7zaHJLupTovOh0kUeEMENDrrp4GdBuLzgFUjNXMuoF+ypAKfqKxPpXkrSniKUo43lR3r8bu+7cWqv1M29VkoYT9B/3V+RbvtP28vtGWPz+t5OelChuHFy1Eg0FmacayZHVCbHc9vGvVQU4lMgK4l9Hc8Nl0RIug6R3hTjRzK7yeHMkV7pa40++FGnNoMYSOX7MmSYxdsnOk5wx6DFG7zcMUL7DmXGl0p9N+YA69ewsrDyXPEIqbZyND53d4b7zohGn7hTIwjC2227DrG52b1lsa67H8oZkJQ7GZ4VLB1dVRZzBwr5MS9AaOPM/kKzzPUpkYOb6/4ue9Jp79ZvuZNsJvEd90c4klhZj0HJJAaHyFM9QGPTWl0bXbMLDGrjIhhBwN5d3wxl0rsOa57KoYZaaI6tkFxuEaz7e31zoM6u3SefrL95OS6wTWA4xsNEe8sQ5y0ALGVuBGtOI3eDck+dEguY7ICLXskjLBnVCcaWLZbi+v6WL9lpHte6UMv4PCPfzJ+8kS8RieCeCuZAc+mXoSOCg3Yi6pSjcq29JaB4cyCE5UkuSSpeYRrC9Vfp95go/zjydK6xcapMiZrULaNEbEOnUKNHhlChwDaHVjScBRvYeajBY0Jgl91+6+OpOpzYwA+Nv2WdOEl9Oe56SwH8cnkPNCwdhRbrupoiUni4BF2lnK7LqIgL6JZoxEA99eyYDn1EEDHsiTNEJkc7P186fenz+89Ein/6UGrMJhFE9WS7yAzRywJkCZ1FgsQChEQM5ZxWQ1Aa0Bo+xmaHoKCN1SEbtfXbpeiculPDVuevyFdpgc1OXlLy5WV19ePtvI9vbi4C2w/NXVp5NFu/dVDuS71L2TiV4cQBycR8ytcq/Rtuy0b0VJBkRMmm/QNNPIh6g9mZUfhKGd6PX87j2u6Cd25KCPW12qRf/wVtv1uQjGQzokSzogo/FO68wql17geSs4Qu/ctRNr0UsM5z2Apo/lPeVzp5jvRRUBlE10zknM8DbOcqLkBGSRqk2+9aKz4zg4N2oGexg66zkFyYYNhSGzfP6lWb1XM6OsregJMZN09jZAXPfsmDKNIlFzU6JQLmzJWoSdNv7f6r6Fu20jV/ivTNO9K6mSaL4fct2v2Wy6zTlN25uk3fbYvlySIm3eSJRKSrbVrP/7B2BmqCFFyY/EvVvvNiLniQEwGAAzA5pgxsexE3lo76exc6e0qWXHPchZS4/doIVPNHrf8qa6n7lB4nlJ5sa65/qBY9uO5ae64dFXZUDtSEGDs2E9zhwfFiATzAUwqPQDkegfNfouXcM1nkgMRqlhwbQO4iTGTzRneob3LSILP7djwIqCkcQ9D+SdHdh0RgWMJzOJrcA0sszKkk81dNqT2rWLn8Z9hZ7DAMOlw3hBX/JsHHjiRoEN7/o0sTBYdGobmZFEWeyaMX60Ooa5HJueF6X7Zb9yHfbgcFf7rWDHe6rT5ymeJrFT34s8jAiIcVWmLpA41X0QX8nUw0/PTnXLN8AqSUxY7ww/c0DJBB6w3IMb7teb3/+42ao7meXqWUKH5gIX1F4MlzeNfMeMjDSIMLhFGiTAyKY3jVI79jLXzAw8dQcLfbr/aCadAj5MOgz6kiyWm6547a71RBHXstTAO8m02QIWuB64pgE8i18LdHTdSUESW5CBH4Wd6l5q2lPDcHCLLjDT6f6FWI5lfL9oADvF/zAMgJobgZmT4NU+MJztqQdaGwaTBaXNtPXpFBcmR08MHSOrTT03SX09ST3QVyzcDPkjVJE6GlBbhj1VjB+Q2+LGMzpkwUo2Ajw+hMEg8BP06dS0Ax0WaMcwLMcFo9DyLSc1ME5K5voHDtaLkYT35wq1dHv4T+XBtvDuveMkcaxneCwMT0PQUVsKAp6kMNQg9sEuThzcufNi3fIi4A/LSdDh94eopzzewR8WYhBkoeuCjok3s6Z48zmxp6DM4JfBLZgkVmRFsWk6cRxPcS7B+oeGjRHbdpJkoOJgg89Gzy6ol9ni4tnkWQV8xBhbgvWRJivoN1sw+ruI1lWVR8VwOYvyopHy25wXYbNotcqTFBLOCkOHP8Zs29dMF0RxgM+WZjuOE/j8GVRqUD35M1iyjqnzagZjjudqnhfAgo3PhoZnw3TxDBaH4xj8OfA8mAC8mglJlqH5vmsHHjzjmSf8YrrPn33X8R1swnQ12wC93aDBL6NVchny8PvacgMoOKP/LcxxwuZpVK1LMlSP2W8rgyUlnq+asHfRZrYoWf9iNU/eF/nF5WowYgoNt+lH0Xw+rvK5xps9K7JyMWfQ6+UsjxnYwYtyxX6E17NCvGBYDsgbsTJFTisXixVQG4v0wxB3WsJwoC2jEoBiR6yH7SeX0WwGY0h7Z0VUrnKwHLFOH+sqRd/SxcGLjVYtZr2BhqfBQ4oC3R9APTprIXvXMNCD4/ZlawPtMr3hV6n7A3Zywnp+5KaWbsUumEIGSqAgxniPFphCKfBe4Ptp5jqxNZ3GyKSe7RgeLF9BhAfBI1vvKROiTLUqjcrksl/GvX/9618AXw543pydFX3ti/83gKTeiElYEDPa28Gpcb4Pat7wLswJ2Kw+6PsZcqSeGibYuRgUKrYsK51mnotH0bLAyMCqc6ae50S+r7tZTL7HKIkAZsIpIrPC2ZlcHrWQel3mq1RgVYCBVFziKEVNoFgIHBGW1VFVJsggR0k2n2tlhTiBgktOmlV6s0LKYFLv6Ih9epY8K3psyCreRQW9wuRO0n5vuY4ZiKc1cNGLb16/Zh8A+73ebvIZCQJMBiQkaYjSY8J+WOLhji/Xrv3VqF0ir8KojCcsXixmI2hysNO3kCXsbTrLoAfegPxDSTviwLTKNYqp0Hy/KNJRV7YEJYtmVbsE74fAywCp83R1uZgykHv9XnqTJmsk8XoT3iAoMqFKZ7NmChWh0DbhpjeYCFyAkExLXBvKXl8iJysYUkL0M4Sss7P+6f/A6M+HZ2eIhUGPV69GrBAzZh0XfdHaiGoYEvxZuhKDjNMMoxyALADwMsAyTJerNLwZscb7ZnCMzACpA96NmFcFThtD9LyCCUi0otWIU6oL+F6/N5BVFst2jaOjI+yHGhsywxRF49kieY9lTylrglXPBSzzxbpYIZt8aGF/gpMJM3FAm3CxXnUQpFFotVhFM6DGPipB4RtsZyR6haTbUz6y8yag9LvLtoTW9RKPpYZZCkLgr0CIKXAbMNLgGPrNmkU5maiMWnTUoN+I9T8ILNzCrD579oGDdHv2jAh3z84lVQjNE8LzOdCAj2hIqF8sJzBO0AUu0hLFTk/QjL1DcJhgJ2ib8W4mbHWZMtKX2GUKWXlFKVgCRPUa1qUNW1fpVON9A680RowQw1gn7K/vMOEVDZ33MmH9zLUBYa49kOSomom4jEJVkEkDVQTkGc2At4t52kchMMABb5FNOk5LYgCIwJPTySRfTCb/RBl+3CyADc7XKwa8ga1h0ayaTH4AhZLLO3gp0uv+QAOBDIjpg5yEFShaosbJX5oN4p+2gNw+xmziawkhpdKS6goIq6U3S9DBIBtLcelPAyCiN9qiRWdWfNYnzgX2uB099v9c6239IcaAShoe0gG2mS/xBeQnTB2QFGztd9RZaXLWaWUEeBltUzbblFog7SbJUl3gAC2TdYl6DfG5FudTfJCN7BaIqvdKgT1NquuCGBexWEf5f0bIAKDKhcCJfc6wmj6QAHRmG4O93QvuBlNhtQjjfFX1tyyvGUriblXZt1pTdniwYnNBUKs3l4a7G+nENNTCsQ+21RWOJobdy9K3/PEWFSeQQJ0qAiwj7CcSQShrKkZqdSV0MRZlsCqyiNGE0kDqCokGi9ODK8O8XQq1jjQyXCIPqHPwuJ7R8dYjYVX85+h1W3YDkNfxPK/QTNWE/bpNCTFFo6jSfVq0HllTWZpaFRVJfKII6uMDCqFYiEyNPS+BoUowvtclA1xCU6AdgBmf5StOyjRKLtnz169VyAUQ1al+3pzoJwyl83FL03xoT3fCbWnsTbqK8hmjM/AVmDPoQGEYzeQCFpcSZHc6vSfEpLN2gHzPTjpZusyLVb93lZZ5lgNZajsS64qxQ7Jq7pDZlVbHoBijWYC8CyXINKBKxP5sUcw22CMY23Kdi4potvl9195Ob7BDEBskdhl+/kfDyfC4WQDS48UMFFkYT0ITElf5iuBhdKJwsa5YAhpKHIH+I+Qdu46moGOTWAB9H+RoAuoXDqdWUKDlb/PpFNZklGuUN4vidIbYTknZYYCcFHpB2yGvvU4rRvb9VQTGLYcHqyYo5PPiAuEVLgLhCEA1oOUUqN+BdOUKbKiqTqFLf/JlrjoUuMlWv9JtKe6GSBazGQhk1F6kK+IFgpOWIzZNs2g9W01zrEqls3WRUJ+y7KxchwlMgPSQV+OseCPdF9JmRm745tXL7/7+Fg2THkmBapUumVQphOJQ6+CsXqbqpw0Taz4TCw4Tk4M4p6fOjB5fDqGyeNj2EHIKim74myzdeBN5zXZrqHhmDZpolcNFL72BVi1nOYn9189/CV8Zpo9jN9iXX4IN5A3YGM0szPrm1fev3r0M//bqHWJHv/GyNFP/EKNAGxI/tK7G0rIs09UaDEtObm1doIey3/tqSuYWpYmU/4aUeDAAuSIbo4ayOxr6752GsOms0RDMnm07Vyip2BfMwG9NFUIzv2JfnTCJg8kWn6JTmdOABCXTFflRvq55rj+Pbqr89/TEdNDVOOD9w7zO5yCv+9cSCD6pXhYgnlBysZc/v3zzKysWRZFeRPjZMZblBWojKHbQCmRv1tWqpcHhHYJ0cHJyTVIFm/1bXkTlhnG3FZe2wMXYBuBSGvkgSMAYKhge9yazCIRADjIi/Q0Mo3y1YXTOAxoX1tH3C5YuqxxWT7DyoWWQf2PAKAMrolzcwMBwqo6gN4D5Brr76bsfJQR89xXNL8Xa+iFGjoz4BJ/jsOIUhFBFn1sj6QNiC2pVGOyRih0z9O+juAEF6HJ9kdYYlSBKrBFKUH4WxQIFzhJsa6iDW/nJCiWs7AZQLdoHiGE0mkqXhrdBZ1+ya/ivyQMzsAgvc5wLI9aeIEPpnLi+zGcpFIXal7nCVfMcFYw+ZAwhY0DLesNQJIaVUwlKDwYIxKRl/C2gEWyq7g//QOKnrYIEJxQU/M9RdMJOpe8AnmcLFeKYfXmyMyokTAMumKzoiFHB4m1L+1ItuS0Ts2HtvREo5tVG6MeaL1ebmrowka+brh8cM+Acma0BC6SDrOJoalSI2Vc7I2lXxoF8JeuJyb1aL2cpn2HVQMoRmEyLPtlerLyB/zbSHKKlOYRGm/P7R1xwFhn3RIRfCKWFO3i+wIVceFhHOGKcFLDicuUNjGvO+prKkRmKrtkiWvVld6Dqb+XYBSgZEZG66BsaMCYIo76OD/AG+MkkGYDDONxIZyiAGOGV+fuuAER/ZV2XFjP0XLd9Wg0eFj2AXC1vWgy50yj+ofuqvAHBXG62iUV6HUIi5YxFk63cDeS+BzzwomomrtEnstC40S7Ax/N3BrwXPuGkoxax5hFH2bYA0kQM+qQuPealGz3LvPv3LceybXXbmUKrvYgiJME/wzY0ojfJxaJ9yd77Kd50T95JRA69QM4XbcTVZOyCsOaAmsZKJnlF5aDbDABw8/z747lBwhrcbO9Q7qID9X9/MjScvE0iCHHWTQihAGKjN3vwvEMYdWZxeG6UjK5JtZHI3khkbxlk043oHSQfRHAL/l3kdsIrkTrmQDSkuMTkhiNWIlRoZYDLcI6qv5DpUseunza1XAf1hrSWtJbwebFcrzALepd5p8b53bOFVuhtFV2swp+zb9azGXsBFm6KG9ho0E9Bqz0GVQVWcLTsxngBHXUfvAp7gUIbL0PgY5yurlNQ6S43ywVodGBQSs82FGouVbjs1HaaJjrp1xqqxMFgxNppGzWtHv5g0KA3nhelnaA7V8rGRBUVQVFEvQ35hRZLvgqDGtcnGvBSXO2QCOye1u/KddrghG/QNyEpj/5Bfle1L6H/nL28uYwwuB0oh6AVjOWOWJGC/R4vysvFYgrqJ2gUoGNPoQyMZgrYT7mtTW45Rh8SlrhP0PNQkqYFs0LXjRHG+6bFeMRMvi7r8oc/oIWsFenNirx9fBGHjIHgEXQ9kG9K31KX90LKBO9voqpaJ9yI4lkDVY5tR4Xkwihe/RjmkA89gobGfEMpfVEu1ksciGJ+92d5tVLKkFcBwVCbbhGHt3PaUL7yweBcKox5q73rEePO2ZS2OXl1Dbh3XvUHrbb5vg6qsgAXsQw2P1Jtr0Frs0PI1Cpd9WU3A5RhmMCb664QzWb99hhIE94iobO6IN9W/ZW6JqVL5pxHoL7J0dF2GJEcHSTafAHTY1HkSV80zU/eiJ0kydIiS+5PCueJTAceA2OILIAPVQKK5oR9IE/RpC754f0EdGwczHu+vRyVcUgesxH6F9CVV7/GIHDwF8gOkqfsDW47tpRUolJfdbPSkUktox8QW6ByBJsoN5thfpaX1SpcZCG6ZaCY2LqWTjMYTyuJCqrpaSm9uyoni2EP6srEMOElMNIu+hKkecGt1z1F0M8UxrQy1DZW3k4plGmM49q+oja9fUPXk/oSAgAgm3Z7TW8ivL8SlotrFRfkPOi/wT2B7UZeb8A3+WAVn+VFetLrDXBrKZs0518ZXZNgqa5ojwD6ynamnbDLoDEoTdMAn7kjrcUJABkCBsx1hTL/Pa2RuEiINZE7VDjfjbBMwX7Pl6KtEUIjad7cAhRUhuZPyW3XOx+JF+ST82aVvAolvhtsol3ArOf7sp+dUJPNeo3Cp1jwnHWXyxel0njdLpi3KDRI5MNKKp7pbY9gEk3RkSkYjVya6+HJdbl3PuiGtQaTiteOwbqB2jfYRpJcXFHu0BKMxd+fN0SCcFbixKxPJYwU96P6sum1h8i1ArRnpRBtjJH7J88BT535G5nfwpvULJuVGp7UHqlolE6sd36XpqY2cdPdb3YtcSzcv0on3HsMCUpj3AfbRrr0WJDXk6z8Zmlp7NMkU7MEUG1FSFXFlPF2aGTXrfE0FDJSxoDu+3Sxz/bqYqoslEv8Bz5DJ2Lq8ik6oXk0EsJgolLn9mGg8TVfhe0u/uXIU5i4Tmg60hvsLNzng44BC0n/qcZLahBIw5iD3d9KgRFrzZYBOtBqmbDNltCO9q/L8Nc5o9WW1UnexNWdLXfKBLXtrZy4J5YT0Llxv4rUmFrFQzxevz/vUEDE3GrIhRhK0vJWt9XBvqoycIor27b04FxR5WrFuiONrzeQLteelh+XFCIQQqo6pMoPSJfyQ+pIrWUwn+KGdw8FzR7B00OtolVNKr0hN1jbToU9LfXbbr99oHYfOOyUeS1x3ABsdz4kNBW4fjuqlTq+2HUyy2nW+4A4uj3imi78Yo9nz6j9Z+e3R3gyoc8VTBpPrSXwoWBUVlBMuwjeRlKXSAAVbreiUCYBhDyeIfkUf8TOec4vSBdAUa14Ivay+bbZTmCECnlKuKAx7avQsZlQa6jdI4r2DKQ+h3rPkZSHECKZ6d6tvU83ND/QViHfNNnspaBubd3wLDHRFDOHiCzSpZ2z24k0rE7JXjkX6D2Fvs/3IEthtEm3CN222TR+7tO6tFb3zM9yt4ZqQmhgBQsjqc8l1JD1aJ5AlyP2oYdmxIT1Rj3tfxc51/53bLRJPb4uqxDnMp1pZtdicUPwRqpvTKwOSAo1wzjvXBW4LPwdJxOK6npdICbB1gbsi64coyPnerDHjt0xAFG64DBAqmDnt709YqJg/8VoW5i2sLp0JTrsgkcmtOl6vqxAecBrQCnQETWIAtWHNFkU0wre2v4ANpbOAjyMm83W1eXJu+0BT8XXIa0D0iMxgXt/ggC/Mu6OGD2Ythx/tZ7PI1LVldOp3JYMuQwGaD70aOughnI2I5VnNhvxVWmCcqeDPej9kPrQizchim5aCjgrQTUy26sFjlasA9IrNDiojPTkYoEgV612tk1w/8OILzSyisy+vVV66NEExePccqaqmaT8kgBLK3Gbh3AF8gFdoBXPQ6QtVrWmjOoV5KOa0sgXiuVhXYv3S34gWD65wS+IAh2G87wS4EAisbvoFKcudrBTQPQ6uE+3QnxgVdnu6cQ5F00ruaJRzGwgE4U7EpszFGcictySVhjBxECJox5/IzFOKhFD4U4Hp1hjreAOkF+4v/6YzjtwMYLRF+uFL6eDD0s83Zigjx2MC4rKA28zrbdv8L26DGfP7TIaAtuuyjVp99sVtzHYWrUkBiZJsrgoo3m4uEKOy284iyD7ER1bbN/QTDu5v5fIvYRQuPlDlE8VwkbLsdwtyKudKdUScd3tKxRVV45GEXHCBQ9hbl2UYRJVVI27LxsVZtESxF14H0E3asojPLpJN62gUuvqVYf/S71n1riTNarP+ZLxQjXpaCDgSUPhXN+nolOKirgWknLEeKDSE3OAayaee61diy0BL2q0BfZZActFSKdWw5D8E2GIbuEwlHut3EncOL4IFDuKymeTZ59/Rs8VaM44E9hys7pcFGw8Z7/nF3iFk0UlO3v2l6/FTUu1gSS5VwNJ0tUApy03vqudY5TCbOck/2QXF+9xKrFxBrFcF8vNnQcNH3F0ULII5BGBZwuYvf1u9lEOXENN5ZB1V2Ulu7s+xhBDPw+OTIN/SRb1q1WpdE7HWnu8NI2w6T+er1fiPBa5mh/jM76Hv5j7f0nQoF8X4T7tce8uuaWihs4lAD3FKaO4dneMMJgqW/C/xL00sSqolivOIb036XbV1j1sPayD0U7qrpt1x0sqq6Bj4dO5Sq/LBUw5ZZd5YuIFqX79Tq+Goh5bbUg/Z89XjDaG6xPFfKtyBObBokjpPF9yiXqg3ION8KxcRaYpHX3mK4jWab5zbyXBCcCQXsmTFBC7DX/sifPB1tjrnR8wG2uqbN2iI46hx3Wwx568dzdb1uNcKbpVJtQJsmSdARK/Lzhb46fL+nzzUMqI06ZqfX4qNGvi4cAwg2DblqIApyW1oggLPmHILywtQbWL7Wp5vlNxN/sj1lN+WZV288QBI5wVp3JXb/+4yYrgFmDTbBgxw/FMly5q+r4zkD4XBcX4n4pgkk60MVt3JzT381MC7bxJDYKzA3FdGv35aVuhP39YTUXVP28wilL7ocpiazwumLeCeRR7DuaEsC1R8UDDLS8uZnQ8I5QcDOv5/4pFEq0cyddNlbi2q3jvIaGv6jLUgO23uiTjvL21UzpnR6srrkBA4dMeFQWJBqpiAho8QYaylPiXcQbskT2KZ/lTeuZkZwLCvWYNEobfz5oyceR+hmJ4tWBSp4UcSRa+gUB7/mNyptL56IKqMrp7sznQVX3mG8axKvEqA8c5N2m2Z3p656CU8qnHkfAR6uheVXSwq9LxfkCbIwcAek2Ra86eTeiO0ognHmYdLAxiUJTt5BYs8kGenhXOCKpmWoE9amZ4PMP1rFaGzzvyPKOVEYimXL2ZgV9smbAgsJ1WukEVDMcOWhkmz7DtdksW79twPUy/FWNVOZy6wlko8jh2MfVUNtXF0vXtV2hN4WwlWTK4ktTgcyX9YXytVjzI3krB+7IzP9UMEu+2wXIy6gm+AM9N8yxj4zFYAyw62h+kgsUHMs/o0xE3TDdT17UdTcPArF6UIUu6tn1WjMfjg62fFcPh8I4uvv6ajY2RxYbGyGZffw1VnuQWZcGOjj4D3b0AIxg45Ru8/oS3tl5H5ft0BT/vQbnv40lPOsM5EDVEvVcyxGnFfiry6jpasp+to5/tcbXazPgF+TloSzN2Tffm6cIZ3h8TphKeUsJxWv4Ill8rGPkwUqZE4KDraG+4pfeB+jxiP+H9tkZv9+gHuHkZITPONqKZPqpywJfFFT9GBfJrwWb5b2sKykLj7AgFMrw7FsjwQDAQIbOxf3nHkFzWIh1r4esEc0EAquVf/vx6e3sX9Q8c9DRN8ooEIuHRNRCPrs3xiPFnGzFMZCALvMIvm5pgwxKW0fYO2oRRCILajKD3ARt/tRuLBKMGyDuy8uIkvvNr0TzsZb9xm182MbwjnsnwYQFNuPe/lSZBaqdvo4SIuRYQE5q6NfJ2sacSgqv64ogmZ7jnUAxU/4r9wvqUXpK3Gt+RVL8OtCYFGuZC/68Yc4EHiZC2nUB/HYtgwtYC/YLZlJnxVQOVjwqL0iRmX5xv3p6XroNL8KsnHGwJa6N+6/B2OwSFeoT7mCPeNAJCvOl0IV7+USfK+6HL7Qo2HhR+pBVmhYKQNCjVCkpxOBJJE166/t0SZzR6k4/ech/JdpLPJN8JNiSfy16+43bwfx7j1RdG9rKegHwf7zXvwtyH+xyd8O/4/zncJwbR4D8+7qdgQJcjwA0ewYCC55YR8NyvqPSBppmirvbLIYEn/CMd7Lf5v2W/mzvk3k0ILQPgEto29908UPL5tF6bgfF/zXutcFC7kk+Q7Cn4zycBaIE1Zzr7sVBv+N9Ss8NPF7Fp+OQhm4YPjNk0vDNo0/CTR20afsqwTcOnjNs0fEzgpuETRm4aPkHopuFDYzcNP3HwpuFHRG8aPjp80/CTxG+6B0E+IoDTUIngNJS/yjp535hLogpInoYE3a6JW1mqiqFGEDgpUX543+8LHhvJmByDWrrUVhkBEKLh3FcENTZ4yC3SFexp13nRVUo6SlzfshPb0jTbmGZ+Yh92lHS31Okx6S76h7pOXmOk4C0cIiCQxhe/Wngre8OTybdRdfk6WgotwDdx/fNVs/Nt3dxLHl6orUtwhl4UWX6hYWCPnLTmttLwyHhWWw6/Zzyr5kIvlyOsHEcAKQ7ghFZ0vg61xiLLSDvc8hAfhhU8BCFAYENj/0gLHv8EumFZlJe4J5u0T60igJgZUiYd+IbfUJyN03BPqC8GNbx3YK0dcB4SWKtVG10G0BntL0GfuMNRohe8P9gZd1urwLOn4roC3nzeAqBJdQ7SQH+djxQUgKih1QQ1baGVGTanAlhHD6CCctCl8X4/RIp4XzuYvF+8rw4ii+J4Z4UO33JrRbsQXBLy/H470CTV5Y0KRztdx8FTYRr9yIp/5b8j9lfB79UerB43PNLtExjbnRAujdCBf/Zsf0SwjnDqu+JJONC5L1/dE5DnMtU3r/HmN94C9c3UG29G481svFnkjRdAXC/K94Ap2tEQSa2TWZhleZrjmJ7jmpah247lyH0NEnTqIGrGO3tW0Cau3BHS9dE2S0pGLgR4Aa2rwM2hzE3ddCP7Ip7DnMS83fQqv5hHIkuHqo6rWzpGiNd1z2uVnRK9jUYbgl+JzwECZFbeWmD7gWu5vuM5tm24xm4dYK6CzuVRqwHFn3c8y9JdK/A7ymPRLbyGZu4WQQMQpFbMQXCUAshbfL+Lb6/xk26jPx+N9AAEnoufBvI93/XdjyOS52EUfk83bZhMDYJ3EQmv7gemg3V8yw0cy3xSKnl/ZirZluVZrm7jRzJt3fkYKnm+5ftuYNmuF0B7/t1TCQiKkfK9wLdARllPSiX/Tz2XLB/EDqDL8gxfNz5O4FmObwe+bwChTOPuqWQ4QeDidxhs13CdJ6VR8GemkePYVgCk0lFG2e7H0MgNPNf0TcOAiQFi724a2aYDJHVgKsN6+KRrkqn/mWmk41kVJ/Bt3cZPgn0MjXzXdWFmwLx0fNN0gruJBDoDiEX8ShpMweBJZ5Jp/JmpZMI6Ejiepzumb1sfRyUr8HzfNkAFQT3vHmuSjp9H8kG3C/Bb0k9KJPNPvSSZHq4hMKcCB5aHj1IcgOAmKCKWbbuu3aWt7Uwl39Vdx4Y56LigcTwplSzluom0vsCUDMn1T9dm6MgttzH1KPPcLAK4PNNwPcvzE9sHPEeePk2mfuraseOnsekn02lgx2Zq2Y6bBPilQs+2naw2MrGHEkM8z9NGB16Q+FM3sXQnTdxplpigG+ux6SVZbDixm8RTx4uNLNaNyAQbJUgyPzEsI4mcxIN1KejsgE4Fc9S6urQRr6Iin82i7nFa+B1QPzIDJw6mQWI5XuoBOJYb6X4C1qaZ+RGgITAjEzpNgKpZqk9hbkVBmiW6U4MhLqN0W6Ita0ghUTq9SNUDiWLaLMp5NAPSl5hl66bmoi7qeSaoL7pvj9TCWzccFnYcMJUtA3gZjGWwBi1Z9FbpdVnM7urTdTTQALzANUzf8MzgQJegTmmBaYO408FQcoK6x71ioWV3PBQftqk5egCs4xkwaT33EGyBq4FF7INC4YEi4niPQ4cRmK5meGAZOCZgRbXVd/vEj0aDde1YoG7iP8ZDEeI/ECGW5Wggx2xX93RQnlz7EEYcF7+uC9akbgFTuXZwX4w0mxnDlNFgYQtAkwL71LKd0X4Axw6wiGnZJlhI+Ok5x34oSoI7UdKiu2mCZuMZDswD33OVBbCDnxA44CXQVmFygQrkPg4lOGd03fXBvg9Qqh/q0wQqeDrobiZYmrbzQHSY+gPRYfuWZhue4xsG9BlY/gHQLN3WfATLwW/murr5SHSMYXHTYP0ITPyUoREYBzkEkKYZJnCkD5Y0KLYP5ZCGBXgvDnEtmNFghVrAXWAU2gc5BCSOA7xhBC6AFhiPnTO2r8HogOI2ramHEGIHFppDHiiOQAOwWB+MEfPBTBJofmAbASj4IFUD9xCTWB5AZwWgXqJDVn/kMhM4Nn5YFAepG85hwWWAsNc8mFmGadr4pdsHzxrroXLVcDTXAkXORaHsBIegw8mP7mlQ0l3jkavM2LYNzfJAg7KwN6DAoR5BAluaZYOMc1EtAHNwByGqqqdetZK6j2G4oG05wTSJ7MSM7Cye2u7UAsXP8kxY6aag3MWJbhhTEz8PD524sQtGSJq6XmTjsfrmiXq8E6ruYSg3c38oxH65+CzKzn5rvPkEt3MP3shVvvzRed+WctZgWNCHV+b4VTiRT1cEzrYtbfeaRS1MwJv36SqnWOrKM9t+kyS5xG0fegjni+l6lt5dXezlylb+9vzty+9eff8y/Pn5m1fPv3/xcsTidT6b0n5qyMveo1EOjGjzNb68WRdFfR25XTW9mmv1hq2odZGuQqlao96Ndx/DqJiGUZwfaAbf8xnGkeXNvBXfOn0h0vdfe95es+y4FJje5BU//dH7BlTxS5W/6JM3EzZdMH6wH7fe+RVV2gHT8PNU+CBDuu6PUlJ/sZVD8IgPyj7hp1kFZvkOfBOpeMCLPwoAtCnRi251K6GcsLpWrRPc7R5tU9KyXCCrC3KPWAh9HKI/jr8khoKCCnv10fiVO8XViY99IMee7PAwnR84wRORQNIiFLuEJ8aIXUVlHhVJerIzFaDTz/EOCA+9UeYgZ6KZ+C7niF86pmjW+AEkLIKb5/xkRl5MKVBtxM8CxmVO32D4bQ0EwiDLdGSahIC2iPGGUV+dxHinGlkGv7MWzeNpxAoeha/iwXiAvj6PhESXFxg/a8dDMExkrFfax+SX6wFRWsgxItL7dJ0eH8MsT2fEqv2ecK7gjcCGM0VNuFFf6C44d43IJ3ItyJfpqvPuYK/D4aHE5619Gkra1m2hJEpHhbwoSR8NE19V3Q06HJOIOlFkLYUcoGQKCd2v+VOyH7AKZQi2HEj2Al7GINNiX7mjNxnpo54Mp6VGh1nq27zUrSaM/HMezwh3z4udoEU9vlWP8WM+cqNeEkNcrxY8hQF2+Gzo4ZZ5VyATkSKrCyTgRVYMiQsTN1qtyn4yYu+V6AEN/rrdhr8Ttc9lax0uo90wKLuk6Qh80tv1DR1oaZouZ4tNOg3v3SSJYhFd6EAzsuoeP9EuSJK9uvoXHEK4lgE5OS8hpVDnpAR6wrCcxYze4fd2H7PJpj9p4Jn6fm9H0I9Pecm3FW9G0RWrdLVeAvSgIcIjG6fr4zcnf/nxn38/EiWO5++necnGS/aXN0erOf3EgB34gfU2uYEJnVwu6Dg6aRLvXv/491fQBC/8y9//Eb54/uLbl+G3P7x+iak3CfvpZ5EmCq6vKO3HX999+8P34avv3757/t1328zlhr394bsXv4R/e/X98ze/hj8+f/ftieyevfnp7buffqybL9cVDIi9eP7mHz/UiUlUXizYz6/evPvp+Xfhy+9/5iPUrtLiivHm6ncc3ISPcSKr0svZ2V+w6Nkz9hWkQ0nA2rHG6mda+ud45ml8xdZX7KujaXp1VKxns3//+wNL1uWMjb+r3mZdUifCE6CzcXUJwz0q01mK8ZKOMApltTqaLq4LDBADeeMb3w1de7wu3heQOgZNcH0zvijWGshN7eL3f8MPG4+LxbiK5ukYisDaP775nY1fCPIdJ5KQ2NwX8I8g6NExMCOHUgWyghlAKNXK6t+g0I0raJ+NN/AvHZSbpfj5oRzMJ94vrMV5thnzQJ7QOKEYyvKQQmDrm4zQfAx5y3xJH23EK8pz/DgXfk0A+HbDlpsxUnd8c3Jiavgxo+WmBLX15ETXLM1r16WOQaIAaCkDPUHGL8KgRfLrg8grx/SvJqqF+Nbv6ZqvmTbMHoxtdPv/AeKljSU="}}