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* * * PMPG/05-* DRENAGEM URBANA Prefeitura de Praia Grande Aula 5 – Macro-Drenagem – Hidrologia de Bacias Complexas Praia Grande, 25 de agosto de 2003 Prof. Dr. José Rodolfo Scarati Martins * * * PMPG/05-* Programa * * * PMPG/05-* Aula de hoje… Restos a pagar…. Reg Variado e linha d’água O que é uma bacia complexa permeabilidade x ocupação Hidrograma Unitário Soil Conservation Amortecimento de cheias em reservatórios * * * PMPG/05-* Escoamento em Regime Variado Influência das Marés * * * PMPG/05-* Cálculo da Linha d’água * * * PMPG/05-* Modelo Numérico Fórmula de Recorrência * * * PMPG/05-* Modelo Simplificado * * * PMPG/05-* Hidrologia de Bacias Complexas influência da variabilidade espacial da chuva variação das condições de retenção e infiltração variação das condições de escoamento superficial direto amortecimento natural/artificial em depressões ou reservatórios amortecimento nos elementos de drenagem naturais/artificiais * * * PMPG/05-* Rio Pirajussara * * * PMPG/05-* Discretização da Bacia * * * PMPG/05-* Variabilidade espacial * * * PMPG/05-* Variabilidade Temporal Equação IDF * * * PMPG/05-* Distribuição Temporal Distribuição de Huff Blocos Alternados * * * PMPG/05-* Desagregação temporal * * * PMPG/05-* Escoamento Superficial Direto Área de contribuição Área Impermeável Área conectada Capacidade de Infiltração * * * PMPG/05-* Área Impermeável Campana, 1992 * * * PMPG/05-* Estimativa da área impermeável fotografias de satélite fotos aéreas escala 1:5.000 dados fundiários municipais * * * PMPG/05-* Tempo de Concentração * * * PMPG/05-* Tempo de Concentração Doodge * * * PMPG/05-* Infiltração Soil Cons Service para P > 0.2 S Q -> escoamento superficial direto em mm CN é uma função do tipo de solo, cobertura vegetal, e estado de umidade * * * PMPG/05-* Condições do Solo Condição I - Solos SECOS: As chuvas nos últimos dias não ultrapassam 1 mm; Condição II - Situação muito freqüente em épocas chuvosas. As chuvas nos últimos 5 dias totalizam entre 1 e 40 mm; Condição III - Solo UMIDO (próximo da saturação): as chuvas nos últimos dias foram superiores a 40 mm e as condições meteorológicas foram desfavoráveis a altas taxas de evaporação. * * * PMPG/05-* Grupos de Solo Grupo A - Solos arenosos com baixo teor de argila total inferior a 8%. Não há rocha nem camadas argilosas e nem mesmo densificadas até a profundidade de 1 m. O teor de húmus é muito baixo, não atingindo 1%; Grupo B - Solos arenosos menos profundos que os do grupo A e com maior teor de argila total, porém ainda inferior a 15%. No caso de terras roxas, este limite pode subir a 20%, graças a maior porosidade. Os dois teores de húmus podem subir respectivamente a 1.2 e 1.5%. Não pode haver pedras e nem camadas argilosas até 1m, mas é quase sempre presente camada mais densificada do que a camada superficial; Grupo C - Solos barrentos com teor total de argila de 20 a 30%, mas sem camadas argilosas impermeáveis ou contendo pedras até a profundidade de 1.2m. No caso de terras roxas estes dois limites máximos podem ser 40% e 1m. Nota-se, a cerca de 60 cm de profundidade, camada mais densificada que no grupo B, mas ainda longe das condições de impermeabilidade; Grupo D - Solos argilosos (30-40% de argila total) e ainda com camada densificada a uns 50 cm de profundidade ou solos arenosos como B mas com camada argilosa quase impermeável ou horizonte de seixos rolados; Grupo E - Solos barrentos como C mas com camada argilosa impermeável ou com pedras ou sem tal camada mas o teor de argila superando 40%. No caso de terras roxas esse teor pode subir a 60% (no caso D 45%). * * * PMPG/05-* Tabelas práticas (cond II) * * * PMPG/05-* Conversão ( de cond II para …) * * * PMPG/05-* Críticas a fórmula proposta pelo SCS é empírica e teoricamente inconsistente se for transformada em fórmula de infiltração, a fórmula do SCS foi determinada para chuvas diárias. A sua aplicação para intervalos de tempo menores que um dia é uma extrapolação que não encontra respaldo em estudos experimentais ou teóricos. E possível demonstrar que a fórmula dá melhores resultados quando a precipitação não apresenta grandes variações temporais. o SCS não apresenta informações que fundamentem sua afirmação de que a perda inicial (Ai) é aproximadamente igual 0.2 * S. * * * PMPG/05-* Geração de Hidrogramas Sintéticos hidrograma adimensional do SCS é um hidrograma unitário sintético, onde a vazão (Q) é expressa como fração da vazão de pico (Qp) e o tempo (t) como fração do tempo de ascensão do hidrograma unitário (tp). Dadas a vazão de pico e o tempo de resposta (Lag-Time) para a duração da chuva excedente, o hidrograma unitário pode ser estimado a partir do hidrograma-adimensional sintético para uma dada bacia. * * * PMPG/05-* Hidrograma Adimensional SCS * * * PMPG/05-* Tempo de Pico e Recessão A partir da observação de um grande número de hidrogramas unitários, o Soil Conservation Service sugere que o tempo de recessão seja aproximadamente 1.67*tp. a área sob o hidrograma unitário deve ser igual ao volume de escoamento superficial direto de 1 cm Um estudo de hidrogramas unitários de muitas bacias rurais grandes e pequenas indicou que o tempo de resposta (Lag-Time) é aproximadamente igual a 60% de tc * * * PMPG/05-* Cálculo do Hidrograma SCS Gráfico 1.3982201554 0.0699110078 0.0039262022 2.149623502 0.1074811751 0.0161788318 3.7458491325 0.1872924566 0.0470514583 7.8257668391 0.391288342 0.1156941737 24.9994032085 2.0789304286 0.331512459 28.3482293785 8.8934766322 1.1381042192 8.5832580924 3.8309790151 2.5847933368 3.9915794134 1.9239964463 4.8910311285 2.2765490413 1.1347732417 7.8646319591 1.6815212369 0.8549419728 10.984222576 0 0 12.7643701017 0 0 13.4620857022 0 0 12.9216604685 0 0 11.7836480545 0 0 10.3043008198 0 0 8.7747409112 0 0 7.2198429259 0 0 5.7584330937 0 0 4.6346167076 0 0 3.7929675039 0 0 3.0889959007 0 0 2.5057465237 0 0 2.0553747568 0 0 1.6606869261 0 0 1.3076785426 0 0 1.0611055915 0 0 0.8628117772 0 0 0.6906671698 0 0 0.5556094821 0 0 0.4508726351 0 0 0.3581743181 0 0 0.2819075902 0 0 0.2277391805 0 0 0.1829497362 0 0 0.1426132662 0 0 0.1052584165 0 0 0.0699758456 0 0 0.0375319438 0 0 0.0174843535 0 0 0.0077673543 0 0 0.0028420337 0 0 0.0005334838 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Precipitação Chuva Excedente Vazão Precipitaçã (mm) Tempo (horas) Vazão (m³/s) SCS q/qp t/tp 1 0 0 2 0.12 0.25 3 0.45 0.5 4 0.9 0.75 5 1 1 6 0.62 1.5 7 0.28 2 8 0.15 2.5 9 0.07 3 Qmax 13.4620857022 area 2.5 0.1 60 10 0.035 3.5 f 0.2 1 60 11 0.016 4 Somatorio Probabilidade de Huf fd 0.05 14.1 60 12 0 5 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 5 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 7.9 8 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 10.9 11 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 12 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13 13.1 13.2 13.3 13.4 13.5 13.6 13.7 13.8 13.9 14 14.1 cn 60 60.00 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 SCS 169.3333333333 33.8666666667 Tr 10 Centroide 0 0.07 0.11 0.19 0.39 2.08 8.89 3.83 1.92 1.13 0.85 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 Duração do Bloco de Chuva Prob Acumul Prob Chuva I (mm) Chuva na Área (mm) Ordem Precipitação Acumulada Precipit (mm) Dur= 1 bloco tu Qu Q acumul Bloco t Q 1 bloco Hi X P(x) CN Inst SCS inst Instante Ponto Chuva Chu Imp Chu dir h tot h acumul Exced p Exced Acum Exced tot Exced Ac Infiltr Area 2.5 0 0.00 0.00 0.00 0 0 0.00 0 0 0 0.1 0.0164 0.016 1.40 1.40 1 1.40 1.40 60.0 169.333 0.1 1 1.40 0.26 0.07 1.66 1.66 0.00 0.00 0.07 0.07 1.33 Atchuva 0.1 1 0.17 0.09 0.09 1 0.1 0.06 0.06 0.0039262022 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.00 0.0204081633 0.002867041 0.2 0.0417 0.025 2.15 2.15 2 3.55 2.15 60.0 169.333 0.2 2 2.15 0.40 0.11 2.55 4.21 0.00 0.00 0.11 0.18 2.04 tc 1 2 0.33 0.35 0.44 2 0.2 0.15 0.15 0.010142689 0.0060361428 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.02 0.0408163265 0.005973002 0.3 0.0858 0.044 3.75 3.75 3 5.90 3.75 60.0 169.333 0.3 3 3.75 0.70 0.19 4.45 8.66 0.00 0.00 0.19 0.36 3.56 tp 0.6666666667 3 0.50 0.70 1.15 3 0.3 0.30 0.30 0.020939745 0.0155933689 0.0105183444 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.05 0.0612244898 0.0093178832 0.4 0.1779 0.092 7.83 7.83 4 11.57 7.83 60.0 169.333 0.4 4 7.83 1.47 0.39 9.29 17.95 0.00 0.00 0.39 0.76 7.43 tmp=AThi 0.1666666667 4 0.6666666667 0.78 1.9266 4 0.4 0.49 0.49 0.0343542692 0.0321927616 0.0271723896 0.0219747533 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.12 0.0816326531 0.0129016844 0.5 0.4720 0.294 25.00 25.00 5 32.83 25.00 60.0 169.333 0.5 5 25.00 4.69 1.25 29.69 47.64 0.83 0.83 2.08 2.83 22.92 Tb= 3.333 5 1 0.4836 2.4102 5 0.5 0.70 0.70 0.0490775275 0.0528162494 0.0560978366 0.0567681127 0.1167527329 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.33 0.1020408163 0.0168438657 0.6 0.8055 0.334 28.35 28.35 6 53.35 28.35 60.0 169.333 0.6 6 28.35 5.32 1.42 33.66 81.30 7.48 8.31 8.89 11.73 19.45 Tlb 3.2663333333 6 1.3333333333 0.2184 2.6286 6 0.6 0.75 0.75 0.0523493626 0.0754517849 0.0920355132 0.1171986842 0.3016112266 0.4994576477 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.14 0.1224489796 0.0211444272 0.7 0.9065 0.101 8.58 8.58 7 36.93 8.58 60.0 169.333 0.7 7 8.58 1.61 0.43 10.19 91.50 3.40 11.71 3.83 15.56 4.75 Nlb 32.6633333333 7 1.6666666667 0.117 2.7456 7 0.7 0.75 0.75 0.0524584238 0.0804819039 0.1314793046 0.1922790912 0.622681242 1.2902655898 0.2151477815 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.58 0.1428571429 0.0258033688 0.8 0.9534 0.047 3.99 3.99 8 12.57 3.99 60.0 169.333 0.8 8 3.99 0.75 0.20 4.74 96.24 1.72 13.43 1.92 17.48 2.07 Qpico 0.78 8 2 0.0546 2.8002 8 0.8 0.66 0.66 0.046241937 0.0806495745 0.1402445915 0.2746844161 1.0215864126 2.6637741209 0.5557984355 0.1080516404 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.89 0.1632653061 0.0309401505 0.9 0.9802 0.027 2.28 2.28 9 6.27 2.28 60.0 169.333 0.9 9 2.28 0.43 0.11 2.70 98.94 1.02 14.45 1.13 18.62 1.14 9 2.3333333333 0.0273 2.8275 9 0.9 0.57 0.57 0.0400254502 0.0710923485 0.1405367678 0.2929967105 1.4594091609 4.3702544171 1.1474548346 0.2791334044 0.0637288653 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7.86 0.1836734694 0.0366742325 1 1.0000 0.020 1.68 1.68 10 3.96 1.68 60.0 169.333 1 10 1.68 0.32 0.08 2.00 100.94 0.77 15.22 0.85 19.47 0.83 10 2.6666666667 0.01248 2.83998 10 1 0.48 0.48 0.0338089634 0.0615351224 0.1238827225 0.2936071203 1.5567031049 6.2432205958 1.882543088 0.5762754156 0.1646329019 0.0480135412 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10.98 0.2040816327 0.0430056146 1.1 1.0000 0.000 0.00 0.00 11 1.68 0.00 60.0 169.333 1.1 11 0.00 0.00 0.00 0.00 100.94 0.00 15.22 0.00 19.47 0.00 11 3.3333333333 0 2.83998 11 1.1 0.40 0.40 0.0282468436 0.0519778963 0.1072286773 0.2588137609 1.5599462364 6.6594353022 2.6893472686 0.9454518537 0.3398872813 0.1240349814 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12.76 0.2244897959 0.0501732171 1.2 1.0000 0.000 0.00 0.00 12 0.00 0.00 60.0 169.333 1.2 12 0.00 0.00 0.00 0.00 100.94 0.00 15.22 0.00 19.47 0.00 12 200 0 2.83998 12 1.2 0.32 0.32 0.0226847238 0.043426694 0.090574632 0.2240204015 1.3750877427 6.6733091258 2.8686370865 1.3506455053 0.5576275709 0.2560722197 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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