MECÂNICA DOS SÓLIDOS
A hélice de uma embarcação foi feita com aço A-36, ela é movimentada por um eixo que tem o comprimento L = 6 m (medida da hélice até o mancal de encosto). O eixo é vazado e tem um diâmetro externo de 50 cm e espessura de 15 cm, determine a contração axial do eixo quando a hélice exercer uma força F igual a 80 kN sobre o eixo. Dado: E = 120 GPa.
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)
0,0415 mm
0,0912 mm
0,5327 mm
0,0327 mm
0,0242 mm
A hélice de uma embarcação foi feita com aço A-36, ela é movimentada por um eixo que tem o comprimento L = 4 m (medida da hélice até o mancal de encosto). O eixo é vazado e tem um diâmetro externo de 50 cm e espessura de 15 cm, determine a contração axial do eixo quando a hélice exercer uma força F igual a 75 kN sobre o eixo. Dado: E = 110 GPa.
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)
0,045 mm
0,004 mm
0,087 mm
0,092 mm
0,016 mm
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,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)
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
No pátio de uma transportadora, uma luminária de 250 N é sustentada por três hastes de aço interligadas no ponto A. Quais são aproximadamente os valores das forças atuantes nas hastes AC e AD, respectivamente. Dados: θ = 35º e considere os diâmetros das hastes demonstrados no desenho.
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)
FAC = 142 N; FAD = 301 N.
FAC = 515 N; FAD = 113 N.
FAC = 183 N; FAD = 224 N.
FAC = 301 N; FAD = 105 N.
FAC = 415 N; FAD = 302 N.
Uma barra mecânica é construida de aço A-36 (E = 15 GPa) conforme mostra a figura abaixo. A área de seção transversal dos trechos, AB e BD são, respectivamente 6 cm² e 8 cm². Determinar o deslocamento de B em relação a C.
![](data:image/png;base64,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)
0,266 mm
0,457 mm
0,987 mm
0,024 mm
1,35 mm
Com base no diagrama de tensão-deformação da figura abaixo determine o módulo de elasticidade E para o aço.
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)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
0,0415 mm
0,0912 mm
0,5327 mm
0,0327 mm
0,0242 mm
A hélice de uma embarcação foi feita com aço A-36, ela é movimentada por um eixo que tem o comprimento L = 4 m (medida da hélice até o mancal de encosto). O eixo é vazado e tem um diâmetro externo de 50 cm e espessura de 15 cm, determine a contração axial do eixo quando a hélice exercer uma força F igual a 75 kN sobre o eixo. Dado: E = 110 GPa.
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)
0,045 mm
0,004 mm
0,087 mm
0,092 mm
0,016 mm
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,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)
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
No pátio de uma transportadora, uma luminária de 250 N é sustentada por três hastes de aço interligadas no ponto A. Quais são aproximadamente os valores das forças atuantes nas hastes AC e AD, respectivamente. Dados: θ = 35º e considere os diâmetros das hastes demonstrados no desenho.
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)
FAC = 142 N; FAD = 301 N.
FAC = 515 N; FAD = 113 N.
FAC = 183 N; FAD = 224 N.
FAC = 301 N; FAD = 105 N.
FAC = 415 N; FAD = 302 N.
Uma barra mecânica é construida de aço A-36 (E = 15 GPa) conforme mostra a figura abaixo. A área de seção transversal dos trechos, AB e BD são, respectivamente 6 cm² e 8 cm². Determinar o deslocamento de B em relação a C.
![](data:image/png;base64,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)
0,266 mm
0,457 mm
0,987 mm
0,024 mm
1,35 mm
Com base no diagrama de tensão-deformação da figura abaixo determine o módulo de elasticidade E para o aço.
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)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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q9gKgDq0uLACldYQFW8ATwZT+2cUzEoZh9D3AFoyy/ay4KCSyxjgQZfPDn7VNw9Yu6cbgxE4bvxcS23DjACpBiEJgoYMqSB2VJjYIhMAIG8tlrIcAYgMYphvgMsDK0gzu1uB4vF4OQTYdM5QcPHQ179u63de6NyT+E7LJwe/b3o4ePwskTJ8Kf/em/C6NGjXrq42DfNCULvEoW8LLDMxs4qmxR9k6dOhWGDx8ePho8OOzZvUddTemWejksWrAwfPLxx6GiouKp8hPBNcptgCqEKBKl2HkA5npTrBcZkLlZqUirBdLe4mUJKyW2FSkAXIGMucbKEnAFbB1rWForOidRWk8tsWuPQgLQHU86IlJ9Dq5ucG4GcM0L0RjmpkBRQBh1kjpjoTww3j0e1B+e376O5srfqJFYh7kCzNQ4rdJvEaJJru3gyvW+eBS7wULnz5w9F6ZMnRW2lu8ww/J3v0eWhVP2b74OUDfIMzlx/ITw+m/8Zhj0wYdWq/rfC8+RficLvEoWcNaJpnr69Onws7feCt//3pvhwvnz7cpatQB23959BliF9ollCU32sZXrY2KXgOWt28obojILyMUYV0mLSANKpF8nnRTd1TTXC5V55gpWAKIQM9b9N/iRnfk7eEIoF6TNu8E6uNJS5drIGOAZ95id+gVcndJH1nov79Un6XVjE8yVhNht+QKoVWj2A6oYhZnfPDxLwBXmSu3kXj7Ya0yyTfAvyW5jqBfXfPAwAiyjHGzaVBrmL1gio1aGw0ePqEnR3O6FFxrMjcd2f44bOv+mDRvDzOkzwpv//nvhH974rhnd9/Fj0jJZ4FW0gJUDlRe00OHDhoU//sM/CmWlZfnyQzlihmzBBjsqc2z78ksY6z2xzaqwdv2msHzFSjmeLuu4GCkQe3fGPNDN0nKjxIhjvEk4UWO4AWMFN2Cvhw4ftUgBJAAYLaFZ/A28cUcX607WWnROjxSArOXBVV34uf/C++4XcIXpuSTADXKj1AbXrscBxKglYk3RYg/GA2MUwJWHpnbhoQFUZuQCDIRWwt9csyXpLYm0qcluCkip2WwAQ72gew/u2TWXLFkeVpSskXexRTXYaWXOqbGmixsrvtT2NRIFhO3sQ8118ODBMGXS5FAlgIa1fvPr/59VGOyTFbpfxYKVnvnVtoCVE8qBysqePXvCN/7kG+Gtn75lIZKUH2afvKyxdAdzdhv7ElpZUXHJQLFk1dpwVIDorBUtFCLFEC2w1iuSGy5VVUkeiCO8giPgBcvDR46ZQ5x1yBrYAbh6Kxl84W+Qt2r8OGqZwlxJPQhekTgb7CIcCwd59jn8eXoVXN0wfjH/ne1R4eCK0XA+AYxQcZgrXjqYKIBJEwApAArPEiM54GIctrEP+7Z1QlBS7cZ6GSTmY/TahpcBKJKnccrUGWHKtFlmYFKSEYFwWtdArwUY/Z5ZMmV/U0lcqqgIQ4cODdu2lofKS5fCYIHrb/+L37JhItgXo/sxboe0TBZ42S3g37wvH0prXbZ0Wfjd3/laGDtmrJWLbNnw/Vg6sLL07XT8ASsqqy4LCE+GA4cOhTnzF4Rt23cIXGOr9JZSAlJubeSBJqUNrLuq1iwz2mtkrmAEM6x1/4FDhiHgCNsgaCwdVAFYiFuNYmVrcrKASQI3NDaXYvENXMWas6Gd2ffaZ+DqRsKgBq732sa6sY4DcmbBMN2hBbhmHVk8NICKBxBjYAhAFUPwG0mAWod1B2aSbBMzyyBjZhTVbDBWWDPAiKNr+oxZYcjw0WHT5q3h0qVqq71WrV5rhiecAwMWfgT8BngbxYznyMP57ju/CMuWLA0L5s0PP/7hj8Kv/9qv5fWk7LFZw6f1ZIGX2QJe3llSBgiTmjljRvj93/29MHPmTItpLSQv7GsTi9wqjBcyxEgj5y9cVLk8HPYdOBg2bdkSJk+dGrZIXvBoozsCV7qn4m8hyX6NOhFA1JyUgQ+QM3CEGabqs29zOcClRyRH2CskjxwDYAYAjiPcHFoiafTS8iGk/Ll5jl4FVzNU7h83MgZlhjkCXMwwypsC1tYb0csPYwVEAUxnsRgI4wCmACs1DwZBK/EoAo9h43ebQeLYWhiDa1l+gZwjjd9lW7eFQYM+CQsXLQvbd+zRuWO4xkGdHyfXrt27zZhuNJbcP4bdsG59GDpkSKiqrAp1GtjsSnV1WKja9J//5uuhvLzcat0ErtmvIK2/ahbwcg+ZWbtmTfhXv/8vVWaGtkXsqCxRRogioDxmywvlDBYK4O3dd0ARPQe0PCS2ujPMm78oTJ02UzhwxLAE/IBAkb2K3pmw1iqVR8AR3AAsHVBda4Ww8TeWrrlyLbADkkYrmJl1ZEo0V3RjAJYx/sAtZIGYwKVthGmemanPwJWLcVE3NuwRYwJSllNAN9x8LXYzA1Sh5DwkD+XSAOAJyDqjdY2E/fgbRmAdAZrjSI7L6LDN5GKU8V0r4Xpc25r1VZUKCxkRJk6aElavWacXt10a6qF87bZaLHb3nn0mWfi90+kBnfW9d98Nx44dyz8Xz7Rj2/bw27/1f4d5c+bmg6F59jQlC7yqFvByc/bM2fD9N98Mf/Ptvw5Hjxw1/ZQySeeBs2fVW0plyQGWskmrc/uO3WHzltJwWlE9x06cDjt37Q3r5MyaPn224mNLBHYtBsy0fm28PflOCMOClDk5AxdcQ4W5AqTIf3R9BbTBETRYlvwNAuegCvYwA9INaqleF3DTwkbC5N7vera9XCpTxziWvQqufiH/qPhNbYThYK7MDq5org1NCv6XcarFPDEODBYDAagYiFoGEOXBYbbURC4LIEjzm/0BWAwCwMaYVyIHGPqlVUB+064LEPq9XL1aZxEDI0d9HhYtXh42btpica+c56IMvWbturClrCw2AyRn7NmzO7z5ve+HH0kC4MPgPEgdDElD0wfN9b1338vrrv78aZks8KpYIFv2fR12unPHjvCP3/2H8KMf/DAslZS2fv36UFJSEjZs2KByX23MFfbKKAKHBIDMxKseUwx5qVqZJavXhLlzF4SVK9cIEyqspxSyAeCKDwX8oDcVQ2Q7BkC2HEecxZ4+c97i2wFTgLW0rNxaseiwAPDFiioDVHCI8xhQC1sAcOLxIWtO0h7kutRnWTfP3Gfg6gZ2IALczMun3lkYhhlwxTA4ljAIDNVrEIATkIXel2/bYeDnmitLah325Rh+O4O18AmdG9311k1CskTlCccCXJ9EhxVGuSp9ZujQ4WH4iDFhztyFYe26TSY/UGMdVA23omS1GZ0K4Zz6JpeWllpPLIbulR3to+AZDklo5294RukpkqZkgVfRAl7es8/ONi9rq1atCjNnzgwr1DOLViBNej+G7FbHj58Qa91pWiv6KRLd4qXL5XyeEZbIMUZUDwmY2Be2C9DRO6tZ5fyqGKa3XiFYrFOOwRCAk6Y/IAp7RSIAXLeUbjWA5fdRXfvsuUjiwBKOxY9D9BEx897z08HVusB2EI7Vq+BaaFg3LkYhgYqN0iijWOYq66Z6Iz/aKzUGYMmDoYnAWL2WQXOhCQ+tZxszf2c/9FiMRVP+gJr3x44dtxdFkD/JHRC9eRmAazb4F+GcJsay5SXhgw8/NoDdvmOXhWhQ223cVCYGu9F6gdhz6EPxjwFwzXo227bzhzQlC7x6FvAykH1y39bZEuDFMVSl2NVVa1aH/QJdwBEwXLxkRRj7+UT5RpYILGtyrV+FVApcwRFIE2wSxxchU/UNzblwzYvChgtWjnGGHTwENuw3slQi9rtpc6kB7L79B+VfATOOGIacPHU6T+bAIlrKsYdWi12H3mAOrtwDeOZkzZ+5V8E1a0QuyO8n6nJKkmxuBpDjJokdIxFtkzoQEC2AQaHisE9Ak9oGoGVJN1V0EkCQJbURgIpsAKju2LnbmvUrSlaphlseZs2eazNdXBndgFg4QjdgoHj5uJfsfdaqOfGzn78TPv50mLSdzQGjw5i3CWinzpyjrntnrfZ9RLKGR5H5ujHt+fSBIHvA0PmdpmSBV9ECXqYKn93LSLYJTVnx35Sd8xcuhA2bNhkgUr63lm8P06bPll9kqoVhsf8XXyArxpBKcASHdYxzbbUoAQB0/oJFIkkLwtx5C4UB8wyYkfzAiGXLV0rLLVf5PmQYs3lLWVi/YYtpuhaOKUC+IMxBDoD5wlyJQmgScMOy0VuRNLk27Bk8e/TkcbvH7VNw5coYNwuuRudV40C3r9Y2CmhvGrBSWwCyGBfmyAMCtrGG2auaZ5UZKXoR9xvFRxqIekllHmzxMO7avV/GXGVCuA2Pq1wGMFdLcab7+fJxGwsF6AnPevvdX4V1kga4XoWAe9/+w+HzCZPD2rXreQrNbcHPPFeakgWSBdos0Bm4tu3Rfs33h4UeOnJEZXWDWp1qlapM41QePXqswHGxgIzuprET0sNMHle899cVf1pZfSVProgEYkZGdAkA3wzOsT1KsMS28m07Tc8t374jbNhYKkzZY6SN1jC4A6nDr1Mp7Lmq1m+9Es7gJEeCcOaKLNDn4Ormc8Pxm3UYIz2luDnQH/baIscQfXipIaDgzKzj5YOVon1gDIxFzYPBtpbvFK0vV22zxxgt248cO5rXVdBPqHkuXKy0XlizZs61mgdjMDTugy8ic41MM3ZhQ3SH5X6o8KzNin1Ferionlf7FVv32ZDhYYYcVhFcEyv195uWyQIvagFwAfaKD4PY1aWKBABY94vcLF22Igz66OMwTWXPM9tF380Xhh+wSKRFckFTdqeqUxAgSSsYWdF0VIElZZmWb5mY8Fyx2vETJoUhw4aHdeq6TgTCqtXr7W9Hj+eiBwBYtZzPnr9g4Io/p06YRN4COiZZtICYK61gC8fqS+bqBndw9SX0+S5dUEWnAVgMQ8IWQi8AVY9zZR1gZabpD0vdsHGzmOheA1mAddu2vaahuOFgmoAtQMs2ah1qq7XrNobZc+Yp+06VhW6YLKCmPcCOAw1WTPwaKRAB8eEjRglQj0jv0QiRZ06HHbt2ho8+HhKmSVBPzNXfbFomC/SMBfLgKpK1WTroosVLrRcWYIgE+MmnQ4zc4AeB0RKZA3N1DMGZfEPMFXCdPmNO2K7yf1aJYcCDtes2KA/BqrBg4RKdd5nN4ydOCb96/8Pw1ls/N/BesrQklKxca+wV3RXmSksY9gr+ANK0pCF8gOt1RR65NBCxRJn2+gNc3fwYMNY4OYeWWCs3SDIEPHBN0jQAViQBGCeAh95JU58HxdCr16wXeO6TQVaaUwv2CpsFcAFV1hGpcXoBsOiw1FwbN5Wa0Q/ISwhTpaYhKxZewfETJobJU2YY+BLOQVNh6LCRxpYBdTyL6zdsCoMGfxpmzZqT12j9udIyWSBZ4MUs4OAKHmxX2Z01a56VYRzTK1etCe/98v3wd995wyQ79NJNmzabtAc5YwZcic7BiY3WSvnnWJxWkyZPV3keLTAdHD78cHAYM2ZsGDlydHg/B64zZ862TkSEYS5WrhEAHLzBQV6pljMMGL2V7FoNWjYiC+RCsWh555lrgZ+lVzXXQnNjQDz0NL0Z5hqjYExulNgxmOsVxZwCqji0KqR3eEIF2CQAiqHpqjpu/GSB4QLTVwij2LFzl0Bxu6j9WgnVZTbDcjEwtRnNBETtVavWCcw1/k1OGti2Y3v4y7/8C2OqP33rbaslp0ydaZ5JAB5P5bbtu1TrLQ1v/ezdsFrH8xzMaUoWSBboGQt4mQIb6HUF2SHz1Zay8jBz1lwx16Fh5KgxYfSYcYrm+UhxsRsN1BxcATmc0WABkUTgBQC7YOHiMGbsBCNG3//Bj8Jf/dVfhz/7s78I3xFQf//NH4Y/+IM/Cu9/MMhkQ6KBNm/ZKkIWBy4Ee8AgWtCwVmYiBkhj2pHmCllD2vCpz8HVWKMM6CM1UuMArMz03b1SI8bKnGOt0PPIXs8JKA+YB5841OEjxljAP2nH1q3faMC7cfMmixBAAti0uczYKsbiuAMHj8roG8zQgO9tvHySJsiE9YWCVyQAACAASURBVP3v/yBgeKIL3vrZ2+Gnb70jlnzQjAowE4b1+bhJ4d333ldtdjKBq389aZks8IIWcFDlNKwDTqdOnVZ5mximTJ8TxoybYNooZXf+gsXhJz/5WXjnF7+02HOA2Lz1d++ZQ5yWKiQIOfDI0RMiYmvDDEX4jJ8wJcyeO1/leLPI1Rqx4rlh7NjxYZKiD+j6PmnyVDs3rVOIFC3jQ4ePGbGi5Yrfx+NmGayQsbToPAR2eQ8tHFpfqDX8ZX+CK7IA/XEBNmobZkIbqA1aFSpFjyooOOCKEwvNw2NcAcnNCp+AWXqgP0yW2opaCifX3n0HDUwBRMIuCK/YsXOvGYuuc9SCI0aOlXC9zUI2apSWDIb73X/492ZkRO6fv/PLcFbJdbkHGC8xdtScM2fNVsjHzQSuL1ig0uHJAm4BB1dfAq6X5ECePGWanFifiamOl4Nqhpjnx+E7f/dG+EMxze+9+QNzMJNYqVYtXSKKKOvkG6C80ruqtGy7yuu8MGHiVDsHnYBo5sNodyp6aJ1wAacZrV/mhYuWml+GzgplW3fo/IcNfzgGWdI1VwNXyQ9gFtgFuOfzC0hz9efg+fqeuQKuSAIKuYi1zl1zaDHmzbVrjH/DSASRgiMkA66wV2ojZiQBjIY+gu4Ka8UQ6KSI1wAxTixAlThVWCzgiR4LC0VLWbN2Q/j0syHh408+C4M/+sTiWv/yW98O3/n7fzCP4bDhY+zce4inlWYDGL/9zntix3tytWv7eDb/UNIyWSBZoPsWcEACWHFQ7dy5K3ygpvpnQ4ZJG/1c5fIfwzf/9M/D3/7td9XC/HH4hcIkidzBLzJs+GiLf8UBRtm+Wldvjm8kQDod0OKcPmO2wLbc8AMSBhaQs4A8zgArbBeWyz6MDnv02CmTBsASd6h7RwLA1UKxcuAKwPYLuLrRMLevo0sQBkXWcMAVzYSuqSRXIQ8r3jhqCbQOQJJaCacUeisPj+ePmNW58xaZCE3zv3zbLmOngPDJ07GmQWuFcSJ+A7BlW7eH3RoQjX3QUsq2AtJzrEZECvj5278Qe/2eid/Udm9+/0fW1W6UmifEvA4fMTLUa8gIPgDmNCULJAs8jwW+1EGa+V8ygM/IhfhfTpw4oYic6WrOz5IzalV4551fhm//9XcMYAFWwBQwXLJ0hTXliQAoLdtm7BIgxOkNNuCTgfVSlpEB8Z0QbQRBImUhxyxeUmIkDaI2bz5d3jeKzMVur8gBzPhdcLLjAwJg6QLLQIXEw3O/Dq4W55rpkIRlepW5uuG4EOuAEsH7JDowh1IuFAtwJVoA1oq+Aai6HEBtBBjCSpEAEKgRrDEuxlmydKVqIZr9MWzi8FH1DRaAYpRNMiqpBKmhAFoiDaD9GPmCohAwmGfYuiRAB7jRXn/wwx+HP/nGn4ZvfPPfhR/ohb7/wWAD9+zz8ExpShZIFuieBWIZEjnJgCtObpxRa9euFVMdIcfzHMl+81T+vhn+7df/JLylHpNviPhQNkd/Pl4xqostegegRBsFI2CkNP1hqaNGjxMZGqsW5xhr7tOsx2+Do2zHrl3qQLDfmCr7AsTM4EppWbmBs0UJCA9Ywl4he+AEeEEKRHqT4oRnUMR7d2LaVFKZ0ikpixG9Cq7tzE4tJXClA4EL0RYtIFHYBhEUc7UaQj2x6lQ7IA1QE8FckQMIp0JbLVm52moZemjhzCLAmNoKdouRMYgBtI49eeZsWCNABWCh/7Nmz9f+q8yxBZPdpxCrIydOWq22Qy8KvfXrX/+GNUHwSH7ta78X/vZvvhN2qRlxW0Y0w7V7qPQjWSBZoDsWcPBhif8F9nfhYoVIz3aL1CGo/8c/+amcyj8P/0HLUWNGyd/xSXjju/9o8h3MldAqb84TOkXsKr9hqUOHjZLcN9SkPBxgYAe+E1rCkC7K/ZZSZddSTCutWuJbIV8bNm6xEM4tpeWSD48ZuQNLIHaQPcgarWrL6Sr/EJ2eCCGNmqs6JAnX8rkFVHFQefQ6uOauk6+pQHfYKzdlYVj0rLBQLDFXyQLkYCWrDRQc9gqdRxIAXGGcePQIKgZYMQh6KgakhoHdYkAMeV4vjJRk1FrrRPcnKmh4nDSYCVrycoij44VMl4Nr2vRZ0mcmhfd+9YFCNf4mfPObf25Os1+8+0ulDvylxcWSUCLJAd0pRmnfZIGOLQCwIgPgZ9ktUlNaVi7n0QU1t5vlbNqrvB5DpJVOENu8aBLihYvnRagWmH/k3fd+FYYoex0gO3zEGIv+IdRq2PBRioX9UBE9H1gYFwB6/oK6rYp1epw8+EAMK52P8MkgA9D6XbZ8ta3zN3INkMAFvPGu9zjWYa6AK8yVMbqIbmLUA7rrornes2iBXChWDvT6FlyfxK6v6BOAK3oFAEsPrdh9TWkH9QDElVWppgAwmfHwUYOwBFxpvsNgkQaQCvgbtRNADIOlYwCZyBkZMuYkqFHttCpMmTJVL2FkrNn0YkaN/jwMlfNqyNCR6n01NPxU2uvf/O3fhW/JufXhoMGhROf+4MNBevHnTRsGXPkw0pQskCzQPQs4Y4Wk0HIllwjNesIfIVEwwlPyl5RI8ps9b4F8KLsNvGKZe2IhT/v2H5CWipNqQhiuJv/gjz+VY3p4GKU8zGPGjlN5HmMdCM6drxCGNFnQP+AKOIIRdAYimgBpEM0VcEVvXbKEDkkbxGijLABBA5DRXGGttKBpDYNL5HPFoWVpBwWutL7BMjCNnClPlJjKp14HVy7khmWJ3urMFcYK+hPWwEwnAmoHxr6ChvNQPBygCntFV4G1AqgsmT3GlX0AV/bHmICt9QXWuQjtatTLJAELIRsrxHonTJwURo8dG4aPGhs++uhTMdcJVjvOnTdPPUS2a3SC4erR8YE8lH8fPlWGrK3q+cVH4c/iBkzLZIFkgWdZINK4WG40lpaYHiwVjz1y3sWKS+GSSBCdgOj9CHAy3D09JZEN1F4UYAFacYRVA2Yx3KPHjpujqkwgSa/LyioNTCotlNFf6VGFPsrsOOLkjK6txLLSYQByhjRAXgFmIgZwfsFawRJkAVrBjiVgkznedZ0IrnF0E2L26fEZwZXnjVOfgiu1FjeB+Hv/7r3IWun6KoNgGDRXmCaSADUF4EqtRi3GTNdWwBTmitYKi409sI7Yi6K28VoGg3AeDF2v8Ak8fIC5RylcuEi2LQnW0mWPHDlsWdAdOAF6QPbtd94xAJ82bXb4RDoOwE1NGuWBNiO6MdMyWSBZoL0FYpli3LxHCrq/LjZ4wnpRAnD4VUh6vVU66PgJkyXdTZZ/Y7eFY3GcTw7McRsRBrEMUg4fSeuk+ynlmoEDyQ8CCMYWa+w+jzMLHMEnQ8vWh4pZtXqdhV4Smom8iKMc4gboc4yTO8o9eML9IgsArA6utL5tXD7hmg1UqHvyqU/AlYthGAdXah9PuMBYNNwoGgaSAIAIlXcGCjVHa6WDAA4t8gbAPjEGIjg1IDTeZ46jtmE2EVrM1XUS77bmQvRD6T4OlvEFRi0IcF21eo2SwuzUC7st1rzftJ3Zc+Zbz4wnT2KN6kZMy2SBZIH2FvDyBBACgI0iODs0ssBaDZkECaLZfkphTwAbeVoJhTonOc/KlrCi7fi2da4A5MJoLepI8fIkv49JW2JWLHpOMcQLYFh1udpIGngCHoARkDFvBa/fsFlgGiOP8OFA1sAW9gGI0VzBEM7FOcCmBunEEEEbQ0u5oemhVQiufu99C65CdesmJnAF8dErzJklcAX4nMZfVm2Gpx+DAJbQdJgrgnRpGWJ01F2h8AAuWgq1DcZDo+UYZmoeo/JqYpgILcPfvhlHbbQYNTVRTCvRyzeQ1Ut1DybXmCUwhUFjYJoMv3p/kJxj6/L78rLTlCyQLNDeAg4uLB+orNOLCmcRrU4iA5D/aHYvVrN8jOS45ctLJAveMEYKGDMz5c9TsM6oIZwXYLt9JzdytBgriVsA1wYNFVV7tVYATmekRuHIZbse+AEhY4akxYij1XJqLTfGynZwBjzBSQ7Acp/gCBjgzNVImlrBt9BbkQSQOpEFRNby96xn71twxdi6CWYLw8KZJeYKwFIbAK5XJAvUqJcFoEaNAT13MRrwhMFiFF5UzOkaDQW7xRjQf2pGjkdzZfQBxPKmliZLL0gtx7UBd4Z94V6y8WkYB09mrcbUmjJ9phmd47mHUdJnhw4dJsBuyBvRvoL0T7LAq2YBlRMVgqee2sEFskJi+jPnzlkKQcbDulQl/VKDECIJkBZwkrq4kruV4apjUz/GiUZ+Gk/t5/MlW2kBo2/Sl//e/VzUkVqbnIe5Ud78unoNSlhTa8BKPmdwAaBkhAK6t9I9ds3a9SYxekuYVjCgyn60mCnzsFdjrKoQcGjZOFp01cdfJOyKskD7fK5+r30LrtQ4Mogly84xV5cFAFdqBmZA1fVX6DiG4cGpWTAESwwDa2XG0eWxrtQyrr26UdBdEchhq8zu4UOe4F7y8Wl6cW4YaqMjR49JDhivF3TJmgMw5aHDRkgIX2rOLUCY/dOULPDKWYDvPvPtUwq87ND6w49y8NChsHL1arU8j6g8KwJIjquy8vLwuToCjBkzVuXriIAyMtUvv3zMGTJztKifM/7KbdN+5E6ljFqOkttKuK9crsh5zDBYslfVXm0wkgVBo0ULaNIFnjCtmBx7rYV0uhwAu4a1AqyAKq1fSFqFWtBgiYNrXhbIjcfnKQfBESa/534B10eqdQhfAOQY9waAJbwBUOUhAFRYJ1Qczz9eO49zha1iBJxbpWXl5t1DpAZgqXUwCsbEIMzZ+DQMTyZzq23EWukZwr0wZ0GSdat59dK2lm8zIEdeQKpgPJ5RSn3GGOuI9OyXpmSBV80CDiD+3MAijBKgqRFjpCUJGWEkVUZ0Jps/UTrkTl68eIkcyWekm95XuQNco67q5/qqJdcyaUBEzQYnhDApjahrrzi1yDEAnkC2mAFKcAKMIK9AjA5YY61gCBskDTyBxBF5BI54KCjHci4PxUIWwEd0S9iF7yg/+queIzv1GbhyUYwIuqOXGLCqic6IjTi0iHuLNUOMcwUYeSia+tQmLNFMAFGcWS4LOGvl74AwrJVjmQHnyF41sJjYK9exMbSIS9NH8Ehj8cA+AVnuzSd/2dTAtcqaNXvOXMtszkvjBX362VClKhukZ7jVyYfBudrO5+dNy2SBl8UCXkbyS33v5A0htIoE1aT6JLk0uid9+eeptxSjCcyZM890UT+uO/bwYyhZkJqHX2ho7RxJI06+SRFB9Y31FnrpxIxWL2QLsARYAU8cWmiuRB3BWqkEPCIJ4sbfIXUcA544WXPNlcgj70TA9XlubwFnn6dvwFXWcMO4XgLi00QnzpUbhWqTWwCAxTDQcR4OKu81DsbBELBWll7jALCukWAMjgOY0XCJcW1oBFxjzliYsjFXXZ9mhcWm6UVxf9mJ33guucfVq9eYRxNHG2BNerKPFMBM7Rz3a89eVQ/rv/bbsudO68kCA90CXp5ZQkIoUwArIMWgoJfkRKqsuiK/yM4weep09XicHmgFur8CcORYJj9XRzbJ/s3XWXpPz3zUkYVhMXq0YlGFI5R9MMBBEnyg1QtwwkxhqsTJ479xzRVMKS2L7BWiBo4ArDBfWsBIlVQWHtYJNgCu5Em5j+9GeJFFkT4HVzOM2CLMkRdyS7oFDi1CNQjFIj6NmYfBONQ8PKQbxw0Ec6XWgc263orRoPIALMcC0jTnG5sUXNwaQZzr3ZNBcGYhiBeOe9P2gmmqxHg67m3NGgKMS81BRt/jiZOmmR5L0hl/6X5sAle3RFoOLAsADVl4ePbd893T6sNDf+jQYRsZ+bjIECTpgrqeMirIqDGfhwmTp4STJ0/KT/HAGKeXl8JlR1fzffxv/HZJgBAovPW0gmkBM7gh8iKECpZJ69W1Vkiah2BBzsAOOhD46AOALazVGSwtYXDEQ7A4H1jSIC0XIsjYe1wXcKf7K1FH5hj3G9Wyb8A1c0GMgyPJEF+hFHcUStGqWofahtwCPAQPhGEAR5aAKyALiOLMgs4T7Os6CUALi3TNlX1hvgA0NRg1Tsu1OJQMOgmg7lrJQzm0Op4iuHK/fEB0gSVFIQZHf0GaoCvt4iXLTMdtq4m794F2fO20NVmgty3Q0XfKtq63uCjHl6uvmFQH+ztx8pR6VzZoJIGzJg0wJAvZraqqqvIEhPJk+M1C6/ZbV/V1XxZivG9niZQHmAGulGP8KBA0gJWhr2ldUu6dvToDhXyVlpUbU4WlorvS7ZUc0Wx3fw44AxiDI2AQ53Es8U4ExMrDXLm+OemFEYW+mz4FVzcQAcAAHABLrw30VktCK10UWaBS4EVeAIAVWk8IFsBJzUOAL8DGzG8MQU3EEmPAWKH0XuNgHMC1uZmRDhix8aYZhGvDnmnSZCe/R9/mLxMP5IKFi5TkZabF6WHsGRqqm3RoDBUDuDLHL6frH6hfJy2TBfrWAl/qcu2/0/jtx+Y664WTlw2WtPoqJAN41A4ge1XAiiQwfcYs9fMfGzYqsVKDkjBljys8p//O7sP6M8FVjmQADYAlNzROLcDumnwq9Qryp+Xr/hvKKbhAWJX7bQBRpER6ZC1cpNwCirclVwlsFvJGa5j9kQMgUsycxzRXRR3REwySZrJADlwtNCzn4Lb714P1Gbi68QAzajzANTq1xCjVrCAjTmMOXK/U1BmwAq4YBs2VB8ax5YI0hoC5OuBiMPblGMAVrQSDYGjAlZFlMYbrJJE53+vUmZV96YAmQLz/QEwccUT30yQjl2/fEUaMGatkEQvDfbFwuUt12NMfpZ8rLZMFitkCXkafWuqb9m2UX5zClyorBUSQmn1iivhIqk1fJX6VzHPbVDYo3046/HieP7veVXtkj0F281AswJVgfso1/hRyC9B8p9wDhrBYcAGCBo6AIeCGy4qAKqMY0EMLJxd4wn7ICYArOAJh4zwANiQQ+QEb8Hx3cj20cGgxP5R9uFemPgVXA1bVOM5czSA5hxYicYPYJQbhITAOrNUdWzBTaD3ND4wAcwVgqYEccGmy+zEYg3MxY+xrrYRhtQ0tY93WBJgAfWScnb9mf7EA7D7JD4zpA3CT0nDZihKLfd2//0AuXrZNqO/8jOkvyQLFYQH/tgvvxrfbUmD2RP4HJLQmaY4MXw3Do+lMZxuy0C1dvjIM0fDVczQQ4HmFXXkMeEdly89deM1n/c4eA7jCFPOyQI6oQdiuC08o717uwREwBLAENJnRVd2JBajCYGn9ormCJTBcQJXjwBHKuq3rXDi0kB9cc+WahGKRz9Wc4zlg5Vn6FFwxOM0JQMqEYFFqQiiIGyPI2GsHDOLOLB7SQyhYlpbF7q8eSkFNhN5KHCwGZH9qHACaGb2EJUzTe1Q4e+XlEEYB6BvnlGF4iYWTv1juv1rNHwZPYyTJRt3zsRMn5NyaEj765BMl+W4bBsaPKTxX+p0sUEwWeNZ36n8DIIlJJXYUMrNy1WqVtbPyzDdb8xmvO9n/yexPxis/jmVvTA6ueOmtC6wYpIV0irXCXHFoUe69Sc8SbAAjAE5wBHJGusOFi5aY/4bnYjt44rIARA1MAo9MFpDEYQMUirmCW+bQuhvjXD1aIPu8fQqugNhDxGiBK81yZoDOogWklVyRPophqHnQStFNWcJIeWhqStdKoPPLV6wyik+NA+2H/lPDYAyvuRxcSTlIs8GkCOkzvBSAntqG+as+CP4eP7IHluKMAQ7p2tciRsyLGvzRR2F5yQrTgtjPz+fGLvzt29MyWaBYLeDfPOX07Fl1Y5UTaJvkt8vqwnr5SnRkTVMrDn0VJntLgfx+DMvemji3hWKp/OKpN81VZRsc8Xh5MMAd42ACZI2II3AEDCGSAac4DJbnAkNoHYMj4AzSIiQN/EBWBJOYiRbgOs5czaGl1m+Mc23fau11cMUQbmgzypPHBq6uuQKuBrCqcXgIWCbAiGEwCLUOD+paCC8R1kptyUCF0HkMRq1DrVRZVZMXoAFmzsV5r12XQXLgahEDAlfkCQNXAb7fo30QfBfMBZM/C44xnFtr16+zSAdqxblqDg1V9ECNknQbEy74uPzYglOmn8kCRWcB/1YfP1Z+ALFCRgTAs76ljI4BtZqvKk1gubTVyTY0EtmukNf8OF/25INlz0koFmBmDi2xV7AEsCNmnnyrlHnA1Zv0sE5mSBrs1Z3iRB25zIhUQAsY2cB9Nk7uOBYsYfgpjxZA5yXNoYMrskCfRwu4UXxpRsnIAg6yNwR+niwbgPWaB4NQkwCe27bvVi1TrloST18MocAoDqyAMYbAKICyywz0znKjYAyuaQ4tvRiY9FM4qg1+v+0+kNx2mGmdmkjoS+jA9GHeqTyU5CGYOWu22HeTsVzO4VOH5/M/pmWyQBFYwL9Rlo8ePbYys3ffQbUOGV31nLG44ydOWw5UnFY4gi4qy1X2OB7Df/fkI2XPafqvWpsWMYA04C1gNdWRBQjrdEkQUAQXYK9gCczUI4wgaVkG63or4FohxzgSI1gCe72s89RoibxouQUE5ISAEWdrYWFi0WAb9+ZTnzFXjAMocSMYxUHu9m11gZVRSPQQe1M1q+aJvSyqLtfkPXfUNmSyWbtuk8Im1ua72LGdGQB2g6D71CjlmLNWzgu40hMMYOXazHd1L1lJwFA2h4fZl+nGYunbeaHbtm238beoyRl2mwTeP/zRTwT+20zQ74jBZs+V1pMFisUC/l2zpEVHEmuIC+wO7ZEmMeFJACrDIy1RfDcZ57LH9eaz+HW4hvfyNBzJgSsM+7pCsRg4kPJO2WeGZBHnShMf2ZBWroMrz0fLl8gBQspKyxic8Ii1gAFiwBVghqRxzigRaFhtXQembARNRJH7YDailiFUvQ6ubnAwy4widAfhPWKAZAvEjUWnVtQ2qC2iYWoMNHlgUoUx/g1ZxDduKrNua4RUQOWpcWiau4xQebnKmi91Mm7rdTUVrINCHL77jl5CNIoAtgBcsy/Q77tw6fvg3KqsrFLTSOOil5ZbjYksMWnyNM1TrHni2mvhOdLvZIFiswDfNd8r5IOxrHBaoUMCKNUCWtZnzZ5rUsD6DRvz+QH66hv3cofdHFyNMaoiMOaqch1zlAhcJQNy3+AImMAMUKK5Ol6AGWivgCvSAJUIkiOyAPs5uLoPByYMyJKbtkUOeNdc8R85uPZrDy1/gTiS8PSZcwlwlUBM5hwMghwAlWeJVophqDFdiGaJYahtqHk8RAtjALDUVJzHZ84Ba6VGI3PO3dt38uyVl2P9gfVh+ctj2ZWJ/R4q8Qsvbfa8hWoeAeh1kivW2+iUjCDJS/fzxnNybp+7cpW0T7JA71nAv03ACs20K4MGHjx8uOCb7r37e9aZ27rARlkgLy+KqNHh5yrgKimA1iysFfbaJi/uNJYKqOLMAmAJ6yRW3pkrWMIMuJp2a7IAmNSYZ67gFy1goo6IFvCWqtu1z5grhuKi1HQgPXkYCcR15tqiJjsME8ZKLcGMVgq4ulZCzYIEgBEwDCCLbkKtilEAYcDVmS8Ae7la8kB9gzFjrnVLeR9Nc8UogGsm6PdZL7Pwb27AGzofyR+WKqyDaIcLFy5YeAeZsw5rbC5/5ng8wIom06bLFJ43/U4W6H0LxAo+fsPdGzSQWFf/9nv/Pju/Atqm+W+QBeScdqkP302TfB6Aa42YpmutSAKAK2QMxspMy5dIH3CF7TjNIW8w19M5WcCZK7jEyK84s8ERgBUcMeZKC1gtWWfxbp8+B1fQHaMArtwkMzFqLdIxAFeStzSKacI4AUlqD4xCk5vaBXCFsQKwgCo1D0ZBqIZFUksByB4pgH7LuUyEVq1GZAKGgVUCriZCC/CZ3Cidv9K2v/i+yAOnzpwOv3r/Q2tyMFwFL27Q4E/D3Pnzzfhu9Laj01qyQP9ZIH67zzdoIMcWw5SVBizeVeUZsCNigJFDjKAJEGlNOnsFNL0VXFpWbl1e5y9YZJ0IvAUMzuDQAlTBH5YOsLSAkS9dc3VwpSX+WGDvmOD26VVwLbwYvw1c1QShVwM3B9j5aATOXCvl8Yd18lCI6TwwRqGGAVRZArDUPACsaySAMADLcVEfQdQmK5ZkAQX+XlceA0CVmZouitBx/CwMUni/bqTOluwPcJLndUXJShsznRruYkWVjcszUkm1j588YfuwH1N3r9HZtdP2ZIHuWsC/PbK9vciggd29bm/sz7PgjI66K7GuueT75BiQc5zWKi1JQJYIImQBWsAwWMKxAFd6ZkHYXBoAYCFpLgcArpA1sIRyzegG9CQFSzwvtOFITl4sfM4+B1fvpQVzBeQMYMUkAVkYJozzspr2eCdp4gOWGMRDKABW5ABAFuOgvRKKhSyAcTAgtRVGxShXamLCXgdXH1rbemeJQfOCnn9Cq40JWxi7h55bW0rLjX3zAseNn2gOAHqytH3YUd99/mumI5MFum+B7Pf3QoMGdv/SvXMERO1JHOoFgANHaAW7c5xEMhUCRmeukDNIGgSMHliQMwAWPKHlC8Dym3X2AVQrpNe6Dwc8Yqio6+o0xIgm4BXXBcNwzvsQL9mH7VVwzV7I13nJNMWh8twcTXRulBuGYQKwtQJHmCs1h2slGAaDuOaKMZy5Aq6ALyzXjcLxGKS+gfF0YhgWDNlrHAR87oPA3xeZeB5YKc8C6I/VaJYn9CIZyAxd+P0PBlvz4/59vYDn1Hdf5P7Ssa+QBfQtqhZ/6oEdWPlO+f7PnHv+QQOfPvtTl+uTDTwT5YmKgl5agNxtz44lZkkTnmghWrHIhOACLVyAk4gB11txZtH6LS0rN9AFS4gYyLaAAWjmZvmAbhZIi5R7wNVbptmH7xNw9ZfLhVkH1EzvlGEwimmvAlgcWIRRMPMwUHEoOpQekIWZwggxBoyVJdswCDWTefXUBMCQgCtAXa8ZuYFMNkQlOLgShsV9dFTj4AZwoAAAIABJREFUZA3UlXWeCQ2ItIYTFYY1S0NZkKP2vBIGk5Zw2PBRiia4ZB9DRy+hK9dI+yQLfKUF9A1mwRUg9LIHEBFL/sKDBhYJulKOcCIh7SExEszPTDJ8dFHA1Vu/Li8CrgAnJMjDsMAQSBsgC3GDpKG5giHgCS1gzgOWcE5IoPtswC4cWoXDRPl76hdwRRowrUQ35rorN0xMKqDIAyEPQMmpdTxiAANA46llmJEGMAjg6joJBnHWCjg35HpnEYpFZwUMQk3n4AooMvlHaD+6+Y8a+gJXeS/FTk+dOROmTJthYF/f0Kz73KaRLsdbP2bE9gSu3TRu2r3LFij8hvmy+b4BgB4bNDAWly7fU2/saGRG4Ao5MnAVUSJigC6pOJssfan0USIGwBEDVxE02CgAC2YAri4vOo4QKcAMkUOnjbKiAFbgan4byQIQQVra4BasFduCZ9xT4dQn4Jq9aAQivXAMApXPyQIAD8yytrZejLXRHgZwpanPw0LleXBqGa9tMBDbofowV0AYnQSDAtCchxEImuU9xOg3NHNNxs7KO7MEikyFH2b2njtbzx5jL1zsAKOT3GLe/EW6n3gvq5Uk4sPBH4WNW7bE66RY185Mmra/gAX8e8wv9Z319qCBL3C7z30oz+f5BQxgVZ4BOpgrGEJKQMKmTGIUwLo0ADYArrR2AVSkAZbgCIALq0V+RI70VjBd22lRw4bpPABzBWCdvQKuj/sTXPMvW0ZhncB9wBWDcJMwShejGe+KwQQBRYzjWgkGYYa5YgiWMFlYKwZDLsCZBcBS62CUuvpY41xXLCp6600ZHvDDIIArNQ6M83knfy47nmdTbcpw2wx1MX7CZEkXmySw37KmBnGvI0eNspfDNb/88sW03ue953Tcy2sB/x5ZIgPwrffGoIH9acG2Z4zDa+OQJhQqMleSZceBSFsUwZNtAQOwLi+CH85WcWDBYCFsEDVkATAHIAZkOQdyQEMTRC22frPMFb2VUaS5r8KpT5hrm0Gi88c1VxuiQR8AN8swDdQO9BJB42jKdShwvQQQdSoPg8UoGIR1aht3fMF0OQZgNkeW6a3Xjbl6pACgzguxJvrTNim0UYe//ZniH2Ol8eWXj3XO+FGXlm21ES95SYw+C9COGDE6lJaW6UUQYZDAtUPDpo0FFuAD7fpHynfZ24MGFtxgn/7MlzuZhPLrzNX1VusCaywzMldasYAk5RBZAAJGtAAzQOrgytI7IkHWwBGOMZlRSZqu1tcZI6YTAWTQZQEc4yYLPHn6HfUJuLr13TDOXD2TOP10qXFIF8aIAWilxLrygDBRZ68ALGDKEhZLDYRBEKAxGjWTZ8UyjUQDHnI+zp03SE6EtiTZejkdVDh+u89c+rPEnQBXzhWHeOClcz2G5F69ep051I4fP6VkwnPClCkzpAXVad8IyM+8SPrjK2YBCmhhIeV311tXFPa+GjSwv1+O+TlyznGXGK0TgZzXhF4SOuURAw6wACr4AWYgJYIhSI3MYAkSIyAMsDKTDYuY2evyB1GmCfW6rdSldxnVxEgambBUljswRp+AqwMJSwufwMMnWSAvDehGqXEwCEDIUAo4pXg4gBWAxRgYBgNA3wFXls5anc5D492phVbC+SzRguskMghhYCYLqOkkSOzALN3fVPiMsOMjR47KmTXOmh30GuF+hwwZGSZIMoC1c0yakgXaLPA0kMbvioq748rYt7OkNVZR0XeDBrbdd9+uZZ85jqUVo46sBaxyTlQEZZ7BEQnrxHdDzOt5kTVIGJgBc0UOQFqEsIErbOfvLgtU0BlJx4MjSItk3WLmOoArjnHDkSeMZPJ0We5zcHUqb8Cai3VlkC+E6ChGN8k7F9OF0bSHidLkJxoAXRXRGWDFOC5Ew1ih8uzD/jBfkxYEaIDrdc1ou1B5ixbIgSt6TU+Ba/bz4uXznCSQmDxlirJkTZU0oJ4il6uVZHtp+OjjzyyqIPuRZI9P68kCboHsN9JuneKcA1wICyGGlyr7dtBAv8e+XvpzsyROHWkg2wXW/Tf0nKQFC1EjiQudk2CwzDBUd4zDXsEUCBoYApZA6NypRcw6OGKOLNk578yS3uokrd/ANWt8DIKnD3Cll1beqSXNFeZKFzOYKw8GSDqDhapD5zEKhsAw1DzUOBgEAMY46K0Aq8WmaYmG29qqFGGq0VwnQYQ2WcCa8m0faf4+qYSerojyf+7KCs/JNWASgGtpmdISKv/lflUKEydNs0EOuScKBkCcnfzjyW5L66+OBTp7/77dlvpAaRb356CB/fFG3AZcm3WPGoBFUr7xqzDiCESNsg/rdMcW+iug6doreAJJc1xxnZUWM/uBJYZDAmeAGsbqJA3cIurICJruox1e5PCjT5hr9iWYQQQo1DZ3ZBBuEjZJzWDhDgJCQilqJSLDQnlAjAE7ZcYQ0HhmmCwGAVjRT6D0NAGomVhiVM6LVoJhsuAKqPmL8mX+PnPGyf9+jhXOycd/9+49MexdYeSYsfbCqmtq5dzarBFjR4aysq1WOABX9o9vqAOwf47rp0MGrgWe+h4zj+J/45sppkEDM7fYq6v+/H4Rypg7tYyoiVniw0FmBEeIeYWggSUe8wqO0AKGjIEhYAnbHGey4FqviCNa0AC1MddcC9hCsMAQbsSLrt9U7nefgqsbhg8DcHOHFuBK/Ng1vHwSoaHhjNWDQfyBYaewVsAVg1DjwFoxkksCADGGAVwxKCEUMb411joGrrBlgTq9O7L3YzYSwLGtpybOhSeRUQqmT58Z5s6bby/73IVKRRLM1Iixn4aq6st2zcheuTYstufuoaeeJZ2nOCzAN8W3QpkppkED+8U6KiZWxoQlNM+RBmCuECkIFQ7yerWEvSVrreCqy6apgicQMvADWQAMgZxB1MAcJ2iMeMuwTcTNwoZhrgArLQZY87Pwol/A1T8QDIJ3M0oDMohYZos8/A0N6v4qWQBwZQYwMQaCM0ZwQRppgBAKQBeHFywWxsoxdKG9ltNcfUhtwBXDuEOLj9TvhY+D9WcZq7sfkJ+b52NImMEffWLPQU802OyoseM0yOJyS7rt9xLvob1M0N3rpv1fPgv4t1lMgwb2u5XhIJopOwauIk4mDQgAb8oB1aryjyMZcCRqAKAkkoJu6R4tAHuFsIErjiHgDTiCMwz/DyBNlIANbCoMoTxD0PLhnJ0Yok/B1e+BD4U+/dB5wI5aOBpFIVloJWKwUHpoPLorYAm4UrMApNQ4GAWQhcVC6T1siyW1DpIAQP1UX2DpJFGEbmOu3E9vTZybl09Nun7dxrBQDq0rNWLkus/FS1bY6JkMq+Fd6GIhSuDaW+9joJ03fg+x0i+2QQOLxZaUL/wbROCAJbBLyhsxqdcEjI2NTZarBOYKnlypIcdrZLCAKuCaBVZwx/el9UvnAaIEfNwschngM/qqxOF9Aq7+gfjL4DdgAvKbY0sGIeECBiHBCo4tNA5AlQdlCbACqsgBrAOqp89EwMVAACx/h9KbJCAvYbN6et3U0C423k2OteLMQoR2OC28N7/Hnlr6+ZFBGPRt8pTplt6s9foNe47RYz636AGYNvvyoaQpWQAL+LfDku+22AYN7Pe3pELsNsrLjLBXhUkBsPTIbM05yUkEBY4QMQCmwEzBCpcdkQMgZoRhub8GOQEHO+CKvIjmCngjZ0LQXBbgHjqa+hxc3RiACADL7LUNN39TCa3Jf0qyBEASMZnaBqqOBw+2CnvFKGfOxmxZ1DrMgC6GI2EK3WibWwj61TkViUAyXVgyw7pks4b7/XRknBfbhsHjzDV4Xl74emXzGiVArbhUaT23VpSssVELkDjYJ4Hri1n9ZTravxtadcU4aGC/2zoHrji1CMkC8AC+tpawRoS1qIFWa+LTos3HsApPwAuIGa1igJUlfhtmgJjWL1orybctXanKLx0HYK42rIvK9bPwo0/ANfsS/Gb8w6GrHhpGXishJEuslSBgwiioPazG0cPy0NQwgCuGytY8/C2Gb0Xq36hjW69LxxVgx6DftvRgPm5W9l6y99gz6wArLDTqulyL2rVBGg5DSzCUL6FZJ06e1fDcs8NodTZoVW+yBK49Y/0BeZZYF+cLLN8LAfFHRShWrlqnTigHrTxUyx9RtnV7GD9+shKyTwjFMmhgf9jcu5IzsgJYQn5X8gzcsXhUHFvqUICTXEAJjsBKwQ5nry4pgiUuKYIlEDk0WsD5hkK7bstJBmgjPdzXNXg3vK5nTf0CrgCIA1vUSmJIFgB7647CKIgckFEIAKb2gME6rccAbghkAGoiDITRYLjEyDY2S29Vc4Cmt4dPAODUOOi8MNfen9rANQuwD/ViTp8+bcNvoxvzkklLOGr0WBvOmNAtt03v32O6QjFZwN87SxhYtcCAUYS3lG6Tj+F4uHK1Nhw7dTosXIpWPyUs0fL8+Qtfqf0V0zP2/L3Ecqa2oTXTYa8eP3/ntsbUktTIuHZkxrua65xUfeWq4QUg6kyWJeDrWMMSSQBwpeV7m9avzmfMVRjyCAzLPEz23bHO1G/gyp1xE7BIsvRHx5YGLbwbA4CbcswVcIWRAkKAJzUKhgBMASdGd8VI/nfGuGlu0ZAM15pNJ6EpjiRAjYPGi07iOVwztunV1azhn+h5EdkXLVpsrKO2jizn9eq5tST8/O1fiKUcM7tQMxZOfp7C7en3QLMAhS9bNPnV1sQkgubCxYqwdNkKjW5clnfGHDh0WINeLgwffvRpmDN3vojDrVQRY0nhCAwWX4r3/DRpQGAIucIZRQsWgKWsXayoMszw1q+zWZbgiOclgZzFli9aa1uUAMNoPyxgrl42fckX2efgykVtMoNExxbAauAq5mrsVYBI8D+yAKMI8MAAKDWLO7ZgsCdOnjHdFT2WfQBhwJihdfEUUutwPgyN0WHJ1uxu/137HfXa0g3OkutTeMg7MGTocAsl4xl379mvIWImmmTA/Tq7z96Unye7La0PPAvE99jWevL3CtFgqPYzZ88ZqJaWltt3j3d7a/lOxUbPCNOmzQhbt5Zb7LQd9ySC8sCzQs/dsdvPe2u59gqmQK6QBUmkTfQQaUixJ0QNfw4MFVAFO1gnVIsRqHFi4VzPtnzb5YFWOf6qqd/AFYPA4mimAzbcOMag+U4gcIuBaxz/ioc2ZppbwlyjCM2IjnFIBoxWUxu7y6LZEpfm8a3IARica3Hd/pj8A+DarOP9PXDwoMkBZ9W0u6JOE2vXKS3hyDEC2r35oSP8uP667/6w1ct+zfw7zbNVsS59n+Sf2LFzT1i6tESV7/HQKMcsMZmrVq+XJj/exmc7efKUsbSYhQ2+C+t99Sa3YfbJcWzBXinrpr2KpBCbCvt0Bgs2QL6IfWUIKEDWwRVi1iApoIkRXtVyJozTe3aCTY4hgHhXjN6v4ErT1xIvyBgAoAXnSnOktrkujYM+wvmM4gqloKapEcBerIy0HokANuuMFeMQLIwBMQrHG3M1EZq4tOLIoeofBi95/IRJYcmyZUprVm+Mhebe8BGjQmVlpYGwM9gErtliNLDX/f17mkoq2kp902jvmzaXhlOKfGFY6FOnz0mHXx8+HzcpLFi0JFRWVeXDf+y7kBkSuLZ9C9gV4KOce+9Pyv9thWPeEsDi3Gq9Ti9Qem3JP6OeoGAGUoFrrCTZhrGyLxhisqLOQcejKAfkEmN3oUbrV3D1j8yaygAszFW1zd078vZJL+HhaN5b8gWBJsBKfsVLyi4FqMJmXQ6IxomxrZ4FCwZsgK3zIgsQ9lUMkz83heqw5IH3Pxhk/Ztv6Hm3bd8RPv7kM7GXFflRJdk/TQPNAg57cenvnKfwdb57/A0VFZfCytVrDFzxIcCm9kgmYnDLUaPHWWQAeYm/zEkAdjznsXPlVrRIU7RtNl80mGL6KyAr0tZ6gxwmMXY1dlYiNSGhm00mRZo+q1avg2qenAmfkBW923xXbN3v4MpN8rFw09BuTx1G6ANeOrx9DGkLeNYqEiDWNHXGVokgIFSLbSzZD2cRTYBbOhajAmDIAZy7GMDVC5Yv6aI7a/Zc5R1YoGZKY7hQUREWLV5moVnnz5+PIR+yT4LXrnzOxbQPbwxdjlnvj3eYmU1flUMKH8KWsq3K9HbAiMIl9Rwql746fcZshVpNNH3VNXjA2KcI2XbqiLL+h1d8iY2xUzs8UcvV5UYwBQBtlewIQ/VeXEgALh+4FACwWny8MMRyCTxSjLxa2/4ev8rU/Q6ufqPcNCCIPMDHZM16GYIlWcCbFJbl6cMAU6QAMoSjtTaoexthEwxtbUYSIDu4wljRYZAf3AOf/zC/yjo99Hd/Rk7n676krzhSxvQZs8Rcyq2iOHDwiEK1pin+dWao06gFRDdYtvNc4eyh20qnwQIXR4fXX3s9jL5YaI6LYfTrr4XXXsvNr48OT+1SeEi733xlEVh9s79zCj76Kqkz163fEA4fPSKtr0kVa2VYvmxVGDliTJg9e044d+6cEQKOywKrny8tO7cANoNMWfQALWL5ckwiEGDSc4vWLcQthmrFbvLuvLqtVrO1eHUMUUaWWlCslfM9UXn199j51eNf+g1cubzfpC9NjFYtEYOAc2EUFquqnAMM16KZMAmyZjHzgTI+VQMCdK4Wiqw1p7UKpC1KQKCd/Tj7E1yzL4Tn5r6oTMiIPlKxrsTsoi1v2LglvP3Oe9ajC7sg1rudsudI689pAQNVB8+nwXX9G/rbG+tzJ88Bbf53967p740lcZKXq6tDWXm5HFVrrVMMBIGOMctXrArjxk0Mc+bMCxcVipU9rntXTHtjO2OwOQcXiVawPTOJxX02EmctXUUUiMiZDABuiOThaGem/FkIp8oq5wQ/ujL1K7hyg9kPiOB+mu+xtok1DQ8c2et1S+gCiJJMAQmAECYcXk0I0PSkMMYah2C4n2sKmBwg42Sv0xXD9MU+fk8wagocWbLWrttgz0Q4ztRpM83hRWYe/1jiffV19dAX1uina3TIXNeHN8RY22Hp+jfEYt8IDrdduVuV78x3h75631LcrVy1xob8IWcxYUE7duzV0D9TwmefDQu7du3W9347/75572l6PgtYKZH9rFUskARX3HFuTX6xWIiNM1pyEgC+5ryixSu2yrH2DjLvsqt30+/gyo3mQUbg6voodNypOeIy4EnyBGa6jTIzbLUNm52pedj33r070lrVI0sfM8Zx1urX8WVXjdSb+/m98CLPX7goJ8Zsy5OA2M646sOGjxSL3awPIBv7in4XmWxv3tsrce6OwLWr2zoxkL9TX9KUxGN98tTpULJytVop263FBbBu2lKmkSmmhtGjPw/r1q03HwHH+TfbySXS5i5aAFvSnEczNWwh7FOtY5is44sthTeWkCUHwpAyd15xDuiqv88uXrofOxEU3CE3DnOFgnu2LMARkLUEuKLyMFiCrAFUek/EpCyR2QKq1EJW8+gYsrRD6Y3G69xmoNw1u2ukglvt8Z/cD/eJpFGyclWYOWu2ErtcCpeU2JdeOkOHjTCmA6AydDdTsT1Djxulr07YVSDtaL/MPWbfR1yn8nts7Idk6buVd3jt2g2SAc7IOdugBEQn9W5XWlwzzswLqlj9O2CZpp6xALZ0gmUMNufcBjytU4CAFrA1YNU2ABgMIuKAOb7LCK7dvaOiYK5+0/4gsLjYsSDGvzKA4W0BJn2GofCAEDM9sABVB1bAGOpvhqPm0Xk6Ale/XjEtefYnCrWpVWeCQYMGhY1iq+RYOHjoqNjrKHWVnWTPDLi6nVim6QUt0BFodnVb5tLZdxLXRRT0DTKM+qbNm8NiRYCcO19hUhaZmJatAFhHWxdoBq4sPD5z6rTaQxagtOAYRj8lnzTMFCC1pdYBU9NWtQ/7vmjpKkpwBRCZH+phvXZBB/EwLRedEaVhq5HWR2Cl5sFINAOywFrsQOSFi0pjzZo1YbIGNaSTBE3H1WvWh5Gjxqrn1h4DYH+uHvrmXu3TdASkUla7q7n6+/MlFT1pJXfs3K3BNHfakCzEr5KYeaYiAcap8wiZ0UicTrOV42BWPr/aL6X3n97fk5elbDSO/U23MODB1R/yqaUe7rE+uOiQyoVpIUjDTnNU3oRn/YahOlsFXN2z3vuvqGevgA0oaMS+4jEm6xGRA2T/mjFzjvqWTxcTqs+znJ69+it6tg7BNYTuRAv4t0tB5f0hXZ1Wt+zVa9ZZVityCzNkSJlyAtAjjwTp5Rr2J2VA65tvzt9PZ1fzv2eXne3bne39zlyzD9RuXU9BbWLBu6rRoe4OoN70N+9fTgaIvSfioGE9wum7Y8Ue2pfnh7lQgezff8B655DQheThuzSMOM4tcsGiQ3uN20OXfvVOY6DqoVi+zEYDdD3ONWrhMSEPMsBO5QfYsGGT5WElBeYF5QfYuGlLGD9xsg2pTuys+QP0vrPv0b//V+9l9O4Tf5VdO/p7R9v8Lp/1N9+HZb+Da/ZmWPcbR/VgHW2EDzA7m9cvJz5b5wA5etBK2N+mnhBM4pl6/d/88+refZ1nbRagkiWLmdCzmporGn9rsTm3zpw9a/YAiNPU/xYAXL9QJU8TnwiPNWs32hBEJAY5qlbH/AVLrMfd4iVL8p0S/F1n776jbdm/p/XuWeBF7PmsY5/1t+wdFi24CioFNhEweRifAF0YLboqIDTQJ39R/owseS7YKwmSJ02aZkP/NjY2WLasiZOmqHvsUuu+B7gWHj/Q7TEQ7x8fQEXFJY3wuyNsVXMfrZUcAdt27A5z5i00KcB7evG+WPf3PRCfd6Dcs5eN/rrfogPX/jJEsVzXPwgAlkJbWlpmhZNOBWTv2aTm5WfKA7tx06Z2wJoKa/+9wYMHD1k31v0HDsacoBqIcktpeRipNIE4rgBTHJX+bvmdppffAuktF+E7phACrjjqiHfFAbJ8+UrrOIEkMPbzcaa/NqgLsBfYInyMAX9Lbltb6mmyv4mNrJEMsHfvPnNcHdIoAXTHJon76tXrwhSN8jt79rw8S+VY3ilTAlczw0v/TwLXInzFXogpjISalZZttWBzBmeku+9m9eqxMbfU2wdpgP04Jk09bwF/F77E1jijLl68GFaUrBRDLVM2K40Uqq6s+w8cCLOVj3fI0BEGoN7859jsO+ocXGMIGH8vnF9/OrNMzz9sOmOPWiCBa4+as2dP5oWSnAkrSlZZKkKSfACy8xcsDmOVi4BCTvhPtvD27F282mdzULV3oYqMDisVFRWhTBXeenX0oBedZbjS6BHTZ8wMEydPMWBklF/eib8XPw/W7BxcO7I1gPt0YpmO9kzbissCCVyL6320uxsHV4asYJTPsWPHK89AqWUGO3L0hIHryJGjbOSFbCFud5L047kskAXD+B40zLUStxMiR++5I0ePKqm1Ro/QeyHZzgSFWZE2EuCE2fq78/P4kpvpDri2j7d9rkdJB/WTBRK49pPhu3pZCiVNf9jrggULwrBhI0OVBlGjt89ydaEcNPjjcEDNUS+8ttTJk0jQVQt3vF/WnuSpuHKlWvlX96n33DrFr55QLuE66avnNQzLGmng4w0wAc3saAEdn7kb4NpJB4fOzpu2F5cFErgW1/t46m68kJtzS83RqdOmhVXqHkte29hza7acJ9NsBAbfF2BN4PqUKbu1wWypXA+ExJ09d1YV2YqwXh0DyANQq44Ce/bu1TDX8xUqF2UAtnFMV1oQXWWuibV265UV3c4JXIvulTx9Qx7bS3Pz6PHj5jA5eeqsjVpA0Ppoaa90tcT55QCb4PVpO3a2pc1mspoA0kHyloZhOaMsVmvXrwvl27eH6hqN2abOHDuVc5XUkPS4AigLATWeo/MY7C6B63Pkj+3s+dL2/rFAAtf+sXu3r0qBRR6gKywe6QmTplpMZbWGu5mvkUE/GPRJOH6cYZc95Kfzwt3ti7/kB0QwjKDKOpUYTHSnkq5s3lJqw7DU1l2VvnouLF+5MoyR9g1AMsNs/fiumumrwTV2vU0RAl21aHHul8C1ON/LU3floElh3r5jl4aAeTfs239QPbVu2lhM48ZPVvfYpZbUhn3T1HULODiyJEdFtTTtNcq9unjJCktg3qgK7fjJE0oTWBJGKDsZ4Ej4VfY4X+/KVb8SXBNr7YoZi36fBK5F+oq8sLL0iXWaoDi3iHUlS9ZFpSWs0MB2K1et0/hLk5TS7lDeW93ROfxcr+qy0Cb+G7sy0uepU6fNtlvLt1vCFYZwZyBB0gTS9RhgZDDMp1LU6d1wrq5MzwbXGOuaWGtXLFnc+yRwLdL344U+u+RW+U1S7XplWxo9Zqx5q4mpPHP2fJgxY074+ONPrecQ+2VzDxTpY/b5bWXtGW0Z0wQSZnX46DGLHy7ftsvGaKuR5LJpc6nCrCKoAoo4FrPn8HfCtq5OzwbXrp4l7VfsFkjgWsRvKFuIvfCyNJalvANlCmT/SGB64sRJabGtYlzl4ZNPh8mrvcGGrnBHSxE/Yq/emtuv8CK+naV3Y92mhCtrlJT8+InT0lsbrKMGyazHT4hOK/Kzur7qduV4Jj9f4XU6+53AtTPLvFzbE7gOsPfpBZkC3qTm6ZSp0yzHa5NGwz0viWDu/MUatWCMQoYu573YPKIfN8Ae94Vut6Nn9m0sHzz4IlRWVqky2iiNdZ06apy3YVhOnT4b5s1fKDuOjjJAY1PefvH4F+tunMD1hV7rgDk4geuAeVXxRh0cAFe6vTK+Pdntd+7ap3yiV5X5fq+NJrp4yVKBbyEodL3pOsDM0qXbxXbYDbmEjGNnlWmM3lU4CC+rk0D1lctKxLI/MGAgAMjsNoxslQgMtNUErl0y+Cu+UwLXAfYBOLjGAv7YxrhfpSxMQ4aOlGf7UqhXZiZ+E02wadNmA2DXXtseFZAd6EDb9WfwPbEdFVJLS0vYt29fWLa8JOxQztWrdU1K51hnjqxx4ybkgdUBtjeWbe8irb2sFkjgOlDfrIACgH0Gfe1ZAAAgAElEQVT48JGcWefCh4M+EgvbGFrkmDl67IScMFPD9OmzbUQDRoyFebVNwE32d9tfBs7aVz1DhNS2yijqq8glOzRg4IqSFRbK1tDYIvtdtGiLqdNmGmslSXmW5WbPwXqakgW6YoEErl2xUpHu44UeRwvhQmitJ06dslChsq07whglawZI+DsA2zZ9FTC17TlQ16JtYvOdigXH1ekzZ22oHDoGXL58xTphHDp8XPrqojD4o08tVwND6rhdC5cD1RbpvvvHAglc+8fuPXZVAADwuHbtWpijnlsMYFgl4Dh/oVIpCpcr9nWiRiI9nQeMHrtwkZzIATB7O76NJZIIowDA7leuXmvdhK9cqbX8qzt37Q0zZ82z+NUSJWCpvVprrYGor3Y9bjV77bSeLOAWSODqlhigSweShxqw8ZTChX7x7i8tgfMN9Yvfu++Q5SGYO3eB5SHNggbHvQyTP3/2WXzbo1x34R07d1k8MHIJHQDOn6+wHlgM/jhR3YiPHj1unQKwDwz/ZbFN1iZpve8tkMC1723eo1d0IGHZ3NIssJisvAOTwpXaq8Zgl69YHcaNn6RY2BPG4rIA26M3UgQny9ri/v0H1kV1m+mrq8LhI8csTSPDsKwoWa0OGOON6SMVcFwEVmSEF4sEKAIzpFsoEgskcC2SF/Eit+GgQhO4rq5OiUXGmYOmrr4xHDt+WkmcZ1si56tKRuIg8iLXK8Zj3QYs7927bzIATX1GC6i6rGFYNILD3n0HBKgLlH91QtiwYbNGEGgLVev+MxUOyfJGWN/9k6QjXmILJHAdoC/XwSSGVEV9EOC8ffuOZcofMXKMgPWk2OyNUL5tZ3j/g0GhREPFkPHJ2esAffSnbtttQeVy69YtySNnLX6V/ADV0lerNcw1ccBTp80Kn0uDLi0te8GuwU9nrbo4+vXw2uujw8Wn7i5teFUtkMB1gL55B5RsULtvI/B9lIZ/YdgRNMYL6rk1Q+x15MixNuYW+znAsj4QJn+2ju6Vv1FpwNr37NFoAeq2eujwUT17i+mrJSsZLWCisdbDR47mEtsoFE2VUcfxvtjkWXaJrPWNLFVNmaw6ejWv9LYEri/B63fg8SVhR0cFIkOHDQ/7Dx1S87fZ2Ct5SJcsW2bOLe9YwDFFORXgmz+b36v/fiKNlFCzy1XVYf36jQqnWiVAvaieVdcUenVe+uoa01dnzpxjqQR53HgswOqzn9WXXJy/dT4VMlVGDUiZrDq316v4lwSuL9lbBzhgpYQfIQNMUJo8nDiEZ5WsXGtDdG/fvjMHMAUIVky2yN2ag2j21nwbaf9u3b4tlnrEhmAp37YjXKy4FGprazWQ4EGNFjBXgzhKBigrt1A1sokZWbWT+bOzfI7JxrfKDoGdNNfnsOJLfUgC1wH4eh1cfOmP4L8BV7p5kvR56LARYYUGMrzWeiOcOHk6DB8xxrZdv349w+D8DMWzzEOfAJTnYso+H8ybcLNjx0+E2XPmhW3bd4WWa9dtBAE6CUyeMl3SyFjpz1skA7SlCcyep3Pmapd7xj9PD3dtTPa1BLDPMNor96cErgPwlTvI+NIfwX8DruQdpQ/9tGnTwz989x/DMXXpRH9dv6E0jBw9TukKy3OhWcUZ12ng2gmwEmZ1RSMB7Ja+umlzmdIEntSIuDXh5KlzYdWqtXJaTVJ2sEXh5MlTuTSBALNbqQ2knxtcOxqVtaNtbZdMa6+gBRK4DsCX7iDa0a3zt3v37inj09mwZvXq8B9+8MPwf/7v/0eYptSE9QpHOnn6vMbgWqR42GnKolWr4PkY1/msc3Z0nb7Y5vdkS2vSP9EgjHfCuXNxSGsyWp27cDEwDMshVR4zxWBHjvo8LFtWYj2w2h2fRdcXvvlcGFbGo5WY6wsb9aU7QQLXAfhKHTT81v03UsCVK1fCiuXLw3f+7u/Cr/9f/yT85//pfxb+9BvfDJMmTzbtkXjPffsPGbubv2CxDW3ix7Mspil/XwLWx48ea7ywG5ZshWxWZWXlpiNXypG1XZmtZs1WN9YpU8NGjRxAV+COhmFp/2zGjdtv6tavFOfaLXO9gjsncB3oL10YAQihQd6Wc2e5ogH+t//lfw3/zX/xX4b/9r/6r8Pv/PZvh6XK7Tpt+vQwaPDHcvbUWU+lpWJ3I6RJEhPqIFZMpvB7YknmLxKqkKt27ryFShd40BKFM/Lt+k1brKIYP2GK5Wf9QgmwcVw9FiN/9gS4ftU+zz5D+muywLMskMD1WdYp0r8BOPkpA64kgC4tLQ3/5l//6/A//4//U/jtf/FbYfGixeGeQpUOKSQL5xZjQjVr1IKDh46GKUpJuGjxMjm7WtsAllNnTp+/TmYlD3yZbdnVLpwiu7ut58+pZ/N1tOO7kjgqKqsUSrbDkq6QDpDxw6gUVq5cHSZrkMZ5CxdLXz1tURIcy3FpShbobwskcO3vN/Ac18+ChwPRQ3nEq6qqFBmwQprjsvD33/n7MOTToQY0Dx89lFZ5N2zdui18+tnQcObMuXD1ar2a0GWKAR0XNmzc+NTAe5y3s8mv2dkeLwquPB/M84701SPHjoYFi5eapFFZdTlcra+3PAEzZ80Jn346JKzV8CzNHaQJ7Oze0/Zkgb6yQALXvrJ0D14HCcAnZ2otcurMmDFDWmSZecgvXboUTihMCe3x0eNHBp41NTVhgoaEIYl2XV2DnEEVFgs6QnlgL2p/P5eDp18ju/S/AYDZ2bdn933WeuH+/pul97Y6cOiw5ViFtTJSQFV1dShTBTFDHQKmz5ipyqJcERHSV3P3wvX8PM+6dvpbskBfWCCBa69bub3jo7NePPTwea0wTrJdoPrrYXSu4zpgwgSQsH73zt2wU9mfRqvLK72VHGCyS/bjbzuVfu+9997XWFEHrBcT8aGjlchkqZxEXzBstPRKP64j0/jfHNCyS/7W1cnPw/6+zrkIIcMpt3rNWgNWYnOvKX4VGYDeV2SzmqIYVsYO8+Oyy65eP+2XLNDbFkjg2psWzoFjJmKnw6vFMJ5CcI2gnD8203c9CyaEXR2Wnjpv7txwTuFXRAwY4OWAlwtaMz33m55by5Ytt1Csy4oNPS/2umRpiYaFmWKdDAA3P3/2Zn0b52+VRlurMK4axZpWVVUZGF6/cSN/Hfbt6hTPCwuODrlzZ8+HLVu2ClwZ5vqUjRZw/PipsFiJvz9XfoDl6hBBKJbfj1/Lf3f1umm/ZIHetkAC1160cFf6m+f7qBsQZ3r4FP5WQrs3Xovs1YEEEKWrJ0lafLQBtjmY2n56vuxvJIXLl6utG+w6xYmSdu/4idMaonu6WOHnchbVG3AR/5qd/JoRzA+HUSNGhrFjxoY1a9aE1YqnLVlRYjlj7frdBFfu6aayWR2Sk22pgL582y7F4NaZFEBGLxLQTJ48PdBtF2D3e+H+fJ1lmpIFiskCCVx77W1EMHz99Wz/87amvV0WNupp6grBtPB3AbjCIInn3CqNdab0x0JQy4OOLuSwwzYP2Vq7bn34+NPPxFwvhvqGJo0YuzZ89Mln5pU39qt9/RxuIn6jh+7buy/88R/8YfjBm2+KRZ4Le/fsDe/8/G39/n5oaGh46jg/Prv0c3M+8szu3rM/rF63KeyWXFF7tVGZvCrlxNpmjHqiYnT3KzaX+/Lj/Fz+myWT//a/p2WyQH9ZIIFrb1newPG1kG/W6zqx+Z8D2Ewz326hQzDNHJ/ZHyAl7Grnzp1h4oSJNsKrN+fzSNrBcwE8HAtIXZZzaNLUqRpeeoWFNqFt0sNp2vQZ0mLbkkg7WPkSMNyxfXv4+h//v2HB3Hl2Ffb/7JNPw9d+53fUzfZYBDhd51kT5yN7F+DOyADoqSdOnQ2NLa3qxno2LFi41PTVRYoUOHnqZL7y4LhnTX6fz9on/S1ZoC8skMC1t6xsYFnAVI19RsBs01mzzDau551eOYB+7TW2t50L9glDnDhxYigvL88DZmz/P5u9OfgQQXBKAxeOGj0m7DtwwHo7lW7dbsPErFu3zrJq+b7OirnuDfWSmq6eUH/0b/6fsG/3HgP2gwcOhp/8+CfhR+pqmwXmNtMCiJoFjJyT85HUG+10ndIElihelZyztVcbFGZ1PCxesswGVlyujg7EtPp9sExTssBAsUAC1157UwUOKbtOR9tyN/AUc+38xmB8BwSIo0ePtggAQC87ORhlt2XXHeAAwlmzZ0t/HW2B+tVXrhqwffLJkHBE+WABwQisMf8A16lVONfbb/0s/Kvf/5dhnWJM6RH2y3ffC4MGDQrHFeDfdu0coNqFAVXOofM9fiLd9HrYpZFXyQ1w8NAR01YrLlUpzGq79baaMBEZ4KBGFbht5+Me0pQsMNAskMC1F9+YhVe5pqrrRLaacVplr90NcIW1jh8/Xt1A9+XBpzuszsEVkN6zZ0/48U9+GjZv2WI9tQ4cPBAmKanL0mUrDNyy4Mr68ePHw59+85vGVJEl5ksa+PZffit88Kv3Q2NjYx6QjamKrTrYsuR6ly9fVjfWPQbisFT03vMXLonBbgrjJ0zWiAHjw44du3SeeGzWRGk9WWAgWSCBay+/rRi/6k3/ToCVe+gGuJLx6oP33w9tOVm7B0QOrjBRzrFm7Vqx4DFKqn1egfqXxSg3qbPBVLHLPQaIdEQgegBwhK3+3td+V+FSWwxICe2aJYfab/zTfxbW629+bh4pAmtkrPfu39PIAGdM40UKQGut0Qi1+w8cDvMXLLFBAxcrB0JFRUW7WF3Ok6ZkgYFogQSuA/CtAXBzFdeKUysyy+5pkRH02lglSbVHjhodlimcip5Q585dDHPnLAxDPhueH3MLICY/7NgxY8LX/+3XLQSMbdwDiWH+2a//07Bk8eIIriYBcH51Y5W2y6CB5FZdrvNvKd0ayGR1RUlXyMc6bfpMSQHjFc61xpKxRPmge88zAF9huuVXwAIJXAfgSx4rlnnixIlcsuvn1yMNZNX8BiDLyspthNg9e/cL5FoElMvDm2/+UE30HQbg9O46evRo+Jtv/7WFXCEBMB9WF1XCsP7qW9/SECsV1t0WwGeOMsAV01c3bFCYlcAU8EYGoJPAxElTLcvVATnEyOjVxnQTuA7AzzLdcoEFErgWGKQYfjqz9Hvx37H76s4wfNgwizcl/OpFJj/vExxVtTVhnMK6xo2fqKb6Qemfk8IPvv9DA1QY6rVrLcpCtTJ88xvfCL94+22BcVkgqmD69OnhM8XL7pV2y/mQDwDWhwrZulRZKRmgRPNKiwZgoMTjCvlartCrkaPGaZSEmTaigB2nY1i2Taxnf7vM0H5b2/5pLVmguCyQwLUI3oeDnN+K/84uASz00eVKhL1g4ULlAKDJ3T5KwI/vzpJr0PX04aP74fzFC2H02LHh3fd+Fd566+cainu0NeNvqGsr85EjR8LmzZtDucK/du/erR5T2+XVF9Ntbs6xTg+zum3xrhs2bg4bN22WlnvBGCtpDmfNXaCk1tO1fUuoqqpqd1z7+wZEYeVt8oXbo/1+6VeyQHFaIIFrEbyXzkDDt7N8LDCtlqd98ODBpn0CrmzPTr5/dlun6xyaO1zwpXM9NkfS8ZMnwvDhI8J3vvOGsdixSupyXNm1ODcMF0B/rHAqQqr4bRIA9+eMVekNL1y4EKbJyUUPK5JcX62rt7GuJk+eFsaOmxh2yFFGjlmO9XsufJZ4c+3BtdNnSX9IFihCCyRw7ceX4vjmAJO/FYGVb2MJoBF+tVwJV95Qnlaa4DBJ38ePK/zt2ztc+sVzf+RYwO7xY8DxfPjgw8Hhw0GDpYtOUX//5aFOOQceCTjp3RXnx+GRRgh4pOFXAH6ORba4VFllGa0+F4iSs6BaCV5I0D15ygxFBSy2ZCz37kVg7Qnm3eGzpY3JAkVggQSu/fgSHN+eAkXAVY4mC4ESaJEsZcP6DeGf/8Zvhl//J79mY2KdOnUqskn9vacmB1iut0OpCd/5xS/C1Gkz1NFgrkaN3agcsHWW9IXogkYlfCEKAN0XYKVbLGkAFy5aYklgfvKTtwyYFyxcEsaMHW+5C+oyva04Jk3JAi+zBRK49uPb7RRcdU/8DXCF3eHNnz9vXvhP/qP/OPwP/91/H/7iz//c0vzxt54GKQdYEmsPGz5c7PUjabyLLWPWQg0Zg4OK/v4lJf9/e/cCrtlY/g8cUZRzkXNJUVQ6KpUUOaRSqNTPqXKMnIlIwhA5DqUMhjAopRymGaFROWSYDpRDB0oUhX9X9c+//9X1f/7r88wss2bN++79vnv23rP3WvdzXe/1rne9zzrdz1rfdT/3/b3v+5p0880zCu7q/dkphcMq4krfq7/7vWyz3bso6T1hwpdyORaat3MtP44TLSTQZAkEuI6B0a1rruVv3wBUiZarrroqrfbiVdIrX7FuOu9rX88gtaBsgU6XXh7bFP+OIgLsoIMOSfvtd0A67LAj0klFWZUf3DQjXTblyqydXjj5kqQqgKiqCyd/I0dZCRA4swjLnVikL7xh+o2ZyiVNYAmqnY4Z60ICTZRAgOsYHNUS4HwDJVNu3vl3b/qu9Pa3vDX96JZb8nq2zwVt5bHK/ZTHxExA7N933/3TPvt8Jn3xixPS8RNOSpdefkWRi+DMAjzPLkJYv5MpW6rKSmKNu6oI4iVFSOyDRbRXCaj1Y5THiu+QQJMlEOC6EEcX+CDa0xI7fXjUrae5YgocWORLff8223Ts22n7wdYB7Srwlcu2u7tIqHL66WcWWujZ6ZBDDivA9bjCdvqVtM+n90sHHXxIOuDAg9LBRU6CUwswnTp1Ws5sdeppZ+Tw1r9latZsEwDNW9RVlVK1EEUehw4JjJoEAlxHTdTzH0hUEjL+tGnT0vSiAusNxaf8tpx/F44kZH2hpbvtumvapkj1p8/0YpuyT9mv+ruX5TuLaX/VtDBbaxUw8FShhU4tbKjT06+KSrFHHnl04qC6/MqrCs30tKy5TjjxS+noo48pggguyo6rffc7sKBunZv+d5FDQCDB/yu4swzHJWBXwdW6aCGBpksgwHUhjTCAYYucMmVKEal0Qa7cetHkyemiCwvvvO/KR1XXyRdcmCadN6kod3Je7mtdtc9QlqcWCVtozqCuBEEBBVgB6Fcz75qVbi9S/x133InplC+fkQ485LPpiCM/l/bee58ixeCEdEXBBDhv0gWZtnXqaWdl08ATRRrDDK601XnAdbagy+MsJLHHYUMCoyaBANdRE/W8BwIypU1yYX1noCtOay64zk608tAfHs5AeW9RcfX6IifA5MJx9dOZd6d99z8gffx/dspa7EWFI+u4wg677377F+A6IU2bflPBEriuqI5wew4wCBCdd7zjV/skEOC6kMa8BB/AWlKqOoHsQP916t/vuvI8Zn9znv2fwhTw6/Tt7343/bqoxPrtXILle1nLnlaYI7AAzj77nCJF4TlFievzC4bA94usVucWWu7PCgbBRUWqwknZAVfudyGJNw4bEljoEghwXUhDsNDBJ6urc80B5fkwE9xTBCh8q6itJcnKVVddXQQGfDM70coILRUMfluUZWEzvvfeewtu65XpoYceKpKxnJNUMfi//+lcnnshiToOGxJYKBIIcF0oYp8Lagvp8PMdtgRXDi7ZrK745rfSHXfOzMECwmBnzZqVy1+jaEmQ/fT/ejrdVyTtnjLl8vTDGT/K25xx5sQc4iq6zP6ihQTaLIEA1zaP/pxrL4GVSQF3Vh6Biy+5JPNWb7xpRhGldWLhuLqwMBfcl7Nd3VMkd5n1s5+l715zTa6/ddPNM3JiFlSt3xW1sMr9BcDGzdVmCQS4tnn0B7n2Rx99NB188MFpvfXWS1dfffV8vdHIXvGKV6T/KcJx7yuAN1pIICQwVwIBrnNlEUs1CQS41gQSP0MCfUggwLUPYbWta4Br20Y8rnc4JRDgOpzSbNi+AlwbNqBxOaMqgQDXURX3+DpYgOv4Gq8427ElgQDXsTUeY+psAlzH1HDEyYwzCQS4jrMBG83TDXAdTWnHsZomgQDXpo3oMF5PgOswCjN21ToJBLi2bsh7v+AA195lFT1DAnUJBLjWJRK/n5VAgOuzooiFkEDfEghw7Vtk7dkgwLU9Yx1XOvwSCHAdfpk2Zo8Bro0ZyriQhSCBANeFIPTxcsgA1/EyUnGeY1ECAa5jcVTGyDkFuI6RgYjTGJcSCHDtcdgkkf73v//dY+9mdAtwHXgcVeUdjvLmAx8l/h2vEghwHWTk/lLkNv1uUfLk2GOPTUcddVRR2mRSAjptaAGunUf5nnvuyYUiP/e5zxXFG49LN9xwQ+tevJ0lE2urEghwrUqjtvyHP/yhKFtyUnrNa16TllhiifSiF70oLbXUUunAAw9Mjz32WK13834GuM47prTUW2+9Ne27775p6aWXTiuvvHJafvnl05vf/Oaidti5uULDvFvErzZLIMC1y+grZXLiiSemtddeO6211lpp++23T3vssUcG2lVWWSUdeeSRjddgA1znvTl+VdQW++QnP5nvide//vUZZCUKX2211dLqq69elBq/IsrbzCuyVv8KcO0w/Cquyry/+eabp5e+9KXp9NNPn1036umn02WXXZY23XTTtNJKK6WvfvWrHbZuzqoA17lj+XQx9qecckp62ctelt7znveknxVlbv7xj3+kBx98MB1xxBHJC3frrbdOd911VwDsXLG1einAtcPw//a3v03vfe970zrrrJNtaqqdls0DdcIJJ6QNNtgglzfxkDW1VlSAaznqKU2ePDm9+tWvTptsskm6+OKLc/nw8l+Aussuu2TzwGc/+9lcCbf8L77bK4EA19rYq35KO1Ub6v3vf3+68847az1SeuCBB9Juu+2WbW6HHHJIUtiviS3AdfaoPvHEE+nTn/50Ng/RUmmx9XbjjTdmrZYZ6fbbb6//Hb9bKIEA19qgA84dd9wxrbvuuum0005LSkl3al/72teyrc1U8De/+U2nLuN+XYDr7CG87rrr0sYbb5y1ViDaqf35z39Ou+66a3rlK1+ZzjzzzPT3v/+9U7dY1yIJBLjWBvs73/lOBlYP02233Vb7d+7Pn//85+ljH/tYWn/99fPD1ETtNcA15ek/W+uaa66Zdt999/TMM8/MvQkqS3jQKHvssT7Tpk2r/BuLbZRAgGtl1J988snMEHjTm96UDjvssAG1D2CKprXsssumD37wgwkftmktwDVlh9WnPvWprLV+/etfHzBo4Pe//33aaaed0qqrrpqdX027H+J6+pNAgGtFXhwT2267bQKuvWge11xzTXrDG96QNttsszRr1qzKnpqx2HZwpY1+4xvfyM7NvffeO9vaBxpZL1wmgQ033DBzob2so7VXAgGulbH/wQ9+kJ1UwBWwDNYefvjhtNdee6V3vvOdacqUKfN4kAfbdjz833ZwxQzhsOSkYhroZhKojuX06dPz/WA2M5BZqbpNLDdTAgGuc8ZV9M0FF1yQPb6I4hwUg7V//etfmQNLexUG+be//W2wTcbV/20HV4Ek73vf+3J03kUXXdTT2KHtsbmut9566dvf/nZP20SnZkogwHXOuAJGuQO23HLLPLXrRLfpdAswDQiBxIttWkhs28H1vvvuy4Ekb3vb23oyE7k/mBK22WabtOiii6aJEyc2lqbX6VmIdfNKIMB1jjwk4zDF32GHHdL111+fRGn10m6++ebMf5R/4JFHHullk3HTp+3g+r3vfS9tscUWiUMLO6SXxnRw0EEH5YgtAQVMC9HaKYEA1znjfu2116btttsue3sBba9NkAFAfve7351+/OMf97rZuOjXdnDFDhDqLI9Er84p5qVLLrkkz2T22WefJPlPtHZKIMB1zrgLCnjta1+btddeHySbmjrSVJgFLr/88kbdRf2A6/3339+oaxc8cuihhyYJWuSW6KfdcccdOaBg5513jmitfgTXsL4BrnMG9PDDD0+LL754OuCAA/rKFfDHP/4xffGLX8yhsueff36jbGz9gKvItiY1nFWBJNJMXnjhhX1dmheuDGof/ehH+zIx9XWQ6DzmJRDgOmeI9t9//7TIIovkDEf9jBoN56yzzsrgeuqppyYMgqY0DrqDDz44e75lCas39mY5GKTdkx2qSc31SNQiSESuiX7aQw89lF/SmAZ4spxc0dongQDXOWP+mc98Jj9IJ598cl93gYxYzAEeJNov7mtTWpvBVe5WwQBrrLFGEhLdT3vqqafS5z//+fTWt741mxTaVh6oH1k1uW+A65zRlfVI7tah5GjlVZZBi/bbJA2uzeAqlSR7KxbI1KlT+8IATq0vfelLOS3l8ccfn9TaitY+CQS4zhlz4Y0yYamR1W/DdQWu7LVNypDVZnC9++67c2jzRhttlETu9dtkVJMh6wtf+EKAa7/Ca0j/ANc5A4k2I8wRa6DfFuDaPJurXBE0V9F3veSZqN4zTEVf/vKXc8a0Y4vClqG5VqXTnuUA1zljzea64oorJk6pftu3vvWtbHOVSYszoymtzZorrjNqnrIuUgn20wQOYJAoXMiGH+Daj/Sa0zfAdc5YquiKLQAg+2mSIp999tkZXBU07DVstp9jLKy+bQZX5p03vvGN6YUvfGH2+PczBuh5uM/CYOslYfrZT/Qd3xIIcJ0zfhMmTEgrrLBCDiLoh06l3pb69R4k9tomJc1uM7hK3KMuFqqZl2c/jTNMyKxk6uy1Tbon+pFD2/sGuM65A6688sqczUiy436ijUTjyIKEcI732aTWZnBVS01u1re//e2ZVtXrjMR2wFiylz333DMJRojWTgkEuM4Zd4CKjsXrf+mll/YcDICm8+IXvzi94x3vaBTHlVjaDK6u/4Ybbkjvete7cvKWGTNmWDVoEzAg7PU5z3lOzrIW9tZBRdbYDgGuc4YW0VuKuJe//OW5VlIvuVmZD/AZTR0B8+OPP96oG6Xt4CoYYKuttkqLLbZYksSllyZkWBIfzjlexlwAABsOSURBVNFec8D2st/oM/4kEOBaGbObbropA+Vb3vKWdMsttwyqvf7oRz9K22+/fZ4CSozclDBHVCKt7eDq5cnBuc4662QH1S9/+cvK3TL/olBoIMwRphIBk1G09kogwLUy9rQOCbM32GCDnHoQ5xVoolpVP1dddVW64oor0ic+8YmcKNuDZNsmtrbmFjCWHFEzZ87MuRNwXtH1jLvxr94Plt0n55xzTi5kKNkL5khTXrZNvK9H45oCXGtS/uY3v5m119VWWy0XHpQzQDrB6gczYOutt04veclLshlB4pameoTbDK5uDQApT8CSSy6ZXvWqV2VWiPGv3g+WrVNLbZVVVsn3Tb/c2NptGD8bIIEA19ogyhOw/vrr59DFfffdNz9YkiVXP0cccUTOI4Ak7iPzUVNb28HVuAplfe5zn5uZA+4D1Lvq/eC3e0LtNclePvzhD6cbb7yxqbdEXFePEghwrQlKBqTSZvaTn/wkay4K1VU/aDm4jHJ2ynzUb77P2iHH9M8A15RDWVdaaaW03377ZfOPCKzq/fDPf/4zF6ekrX7gAx9IH/rQh/oOmR3TN0Gc3JAkEOBaExvbmdLa+K4Dlejg9FF2GbiqGtvUFuA6G1xN92mnMl51a+pscXCywfebj6DbPmP9+JVAgGtt7EpwlQB6IAI4T7KQ2QDXZibLrt4WkrAAVwUHB3JS3XXXXVlrDXCtSq+9ywGutbHvFVxNBQNcm1uJoHpbBLhWpRHLvUogwLUmqQDXeQVSmgU6eb9/+MMfZmZFE8u8VKUQ4FqVRiz3KoEA15qkAlznCuQvf/nLszW0OpU6UUq8rKH1u9/9bu6GDVsKcG3YgI7S5QS41gTdJHAtI61ql9jzTxm/EOfXW2+9dN5552WPeLmxVIvI88BV9qc777yzsYEUAa7lqMd3PxIIcK1JazyD61//+td02223JVxdTVYnmfCVGvExxUd2lz9BzLyco/4/7rjjcpjncsstl3Pa8ngfc8wxub+sUNbvsMMO2aFT7otzhznAf7idcitgT0h8s/rqq2civd/274MzrB6V/5ScxhO1L8eRWPqUU07JVXTlPwXatGLhpGOhBbiOhVEYf+cQ4Fobs/EIrnKPAiMgJTvXUkstla9K2jvJnpWIRi9TsgTAqe1knd84vT7COwVPiEKSgb/sLxS4XKd/+dFfP//Z7nWve918+9envn/Htp39OIbtcEhpx/4TGef8bSuEVHy+l8bCbAGuC1P64/fYAa61sRtP4PrMM89kTZXWCKTQwiSd2XTTTfNVCccEVv4/99xz01e+8pX8sazKrVj46sf6sp+cpP7Tr1xX7WvZ/ur76rSu3K6+L7kbhJYCVuYFGjQzhJBjwOt6gLA+gyVNqQ3jsP4McB1WcbZmZwGutaEeL+AqSuiyyy7LibqVBH/+85+fI4iuu+66Z+t4mcovuuii6aSTTqpd5dj5ef3112eNFYgyAzz55JM5deO1116bTQn4pbRjoaW08wW1Iw/lygNchyK12CbAtXYPjAdwBaw0RtqdirW0vauvvnq+iDLTahma2FYHIr/XRDBqPwVicJTJz7DXXnvNd1x1rIyH/KhrrLFGtvt6eYx2C3AdbYk343gBrrVxHA/gKnOX6b/KpBxC9957b+0qZv+UPZ+5YJNNNslaX8dOC3GliCaZ/tlXpfHr1nBsOcoA7I477piZCd36jsT6ANeRkGrz9xngWhvjsQ6upsbCK02Vjz766AGdPZKLACPsAFosTXGsNLWmaK2cWWysf/rTnxJ6V7cmic6WW26ZS+pgPaiwOlotwHW0JN2s4wS41sZzLIMrVgBKEweQafQvfvGLec6ePRI3VYUETZIRyZ3lnqUhstGOlaYqqjyotOrzzz8/qTV18sknJ9P+e+65JwkvrjdlU2jitHbOsdGqTxXgWh+J+N2LBAJca1Iaq+AqGbe8sRtttFGmW9XDUf0vHFVJZ553U24NAHFosb1uu+226cEHHxwws1NNHCPy84knnsjpGpdeeul5ao8BWjxY1XS9FNiWq02dMy8I5hByAMKj0QJcR0PKzTtGgGttTMcquP7qV7/KAQB4p8CyWkDRFFv9L2VncEVRsapaKhCSi9S2tNi77767dtWj9/ORRx7JWjeGg6TSzBxlU+wRfYyTznly2gHUaqOZ77PPPll7RdEaKC1kdbsFWQ5wXRDptXfbANfa2I9FcGUrVfhOoTw21Pvuu2+es3744YdztBRO60c+8pFcEro0DejIXECrta0y4Lvttls2KYx2aRrBACK7AOvmm2+eOOa8GMrm/1//+teZ3aA09WabbZbzov73v/8tu+RyOq6FaYCDayBH2LMbLeBCgOsCCrClmwe41gZ+LILr/fffnzPcA5NJkybNQ6v6z3/+k22VAEtoq9BXoFl3+KBiSeBMW7QfYa1TpkxJth/pBtxvuOGGZz3+zvOSSy7p6sBS5WH33XfP5g1cXVp7tXnZCJ9dYYUVshZLGx7JFuA6ktJt7r4DXGtjO9bAldY2efLkPKWnydUjldCw2ChptYBX1JZW1fbKS7Ru6tSpadddd81hsVtssUWaOHFinpqPlHOICUIklnwCAh1M92msgx2Psw6LYNVVV80vj7r9VaIYBSLXXXfd7AQrr3EkvgNcR0Kqzd9ngGttjMcauAIRWadMo1GXqnQl9kbF8WihQlxNqXtpAPqEE07InnqgzNGlCN/tt9+eaIHVY/Syv2ofWqUy48ARqJZUMHkOJHKZUXBvyxdAdbv6sj4XFewAzithsDfffPM8XZ566qlsY0ZJY2oYydLmAa7ziD5+9CiBANeaoOQtFfkk49NDDz1U+3fuT44WkU8e/JEsUMjW+rznPS9P+etlZ2655Zas0UqOYtrdT2goTRB4uU4RUPZBC8Q2oM2iStE6ATYQf+yxxxJAA55oUpZRw4AxG7C+7LxeAPvvv3+OupIcBgPg4x//eJKrQH7YfhpzCAoZBgGeblV7da2AGueX5j6SttdTTz21pzIvZLDddtvlczIe0dotgQDX2vgDV+GYQEf4ZbcGZIArjcy0fSQaB8+hhx6a1lprrXTUUUfNYx81rZYkxX/A6/HHH+/7FNhh0aLYaXng2WJNw9lvOb7E9fPei+t3rRMmTEhnnHFGOv300zPYHX744WnvvffO4Kw/upfzsR/bSl0IwIHwYGaATiePpyv9IOeVFwBGRLV5wZHPiiuumG2w1f+Gcxk7o6yhNVCBwhJcAWyA63COwPjcV6PBFXhIBuLB9iAO9DENpVmh/0jLp0QymhCHT3U7/WhuM2fOzFxNfEuaDQ3O8ap9uy3bfjCwoZkBlk0LWpXIpO9///vZUVXeZj/96U+zg8jxgftg+yu36/bNAXbrrbdmLi0gR/AXPWVaLqUg0PXbtw8w9ZtZQR+pDTfeeOMMwmeddVZmJzzwwAMdbb/dzqHTepQztmHOK1pxXTu//PLLM/hiSdSDKjrtz/jRgLuNTblePx+zF7XSvDiYXrwoyv/KvsZdNJyXFGcd2aHC+V/fsl+3by9q19nJTt7pGmLd+JBAo8FVZiXAZOpIi1JPHmhylHT6eDCAlXyiNBV2TvbITn098IBl2WWXzWnxOGq67VtcvGOXZZc9pBxLAzUPIo84oj27ZV0zlcbPsYEvEBuu5mUCQGjtbLM89xJwX3PNNZnYj9xffkzF2UIFLOhrGi+MFdAMVwNOtGUzBCYL5aurjclC4hr8XqWvO0V2lf3RvuzLWNEuyyl8p/G1zrjpKyhjkUUWyWHE1ncbZ2PhpbPyyitnO7jtu+3bPhzfPYHBIRdvnWJXnnd8j08JNBpcxaO7wRdbbLH8cMiaX+Y9ZWMsEz9Xv4GrhNMeZrbX6n/VZdvT1PS1Taf9WcfE4MNT7gFdcsklMxe1W7KV8jaihZnu06JVFKhSpmhTpuMvKbzliPTV/8rtm/JNUwX0e+65Zx47s4S6hme2YWyNA9twt2ZKz0wh14Kx8MENZjc3RtXxLZeNof+ZR3yX6zt9u1/cNz6D7Y8jrjwHWvHxxx8/ok65bjKJ9SMngUaDK7EBMZqrh8/01ZTX9E0MO812JD/lMQAC546HifPFMQcj8HMAySFAW6sX/2MuALq051mzZo3c3TGG9kweL3jBC/IMoK4ZM98AP/KSenEguyiwBsYycdkfhxmnIbNLOV4jeU+YsdD4MSfYir1svThCax1DN9swnUrjwZU9zM1sesfrDqx6pSwNh4xpmaZ8a665ZvZ6m85Xo5I6HYNN0Hkus8wy2XFU7UNLVXvKf3vsscd8Wly1b5OWgZ9ZAtqZ5WpjV6fBs/uiZQ1mf+YoNBtg1sGQALZ1s0t1/8O97GXASUhrdl/eeOONw32I2N8YkEDjwZWMASwHg6mcKZgYfPxR9ryRakBQkhSEfbHyHDLoRIMd05TXw8YmRzOtJmihdYlWwmQAMqa4A2lpI3VtC2O/qF9SDbJBe6nUubiS2rCV02B70QLZapWVYU8FsGY0xmuwF9+CXDs7ulmHmZQXAZMDhkGTzToLIq/xvm0rwNUgAVgBAhxLNBbghWIzEN1qqIOLj4quJKKKp71MqzeQs6U8Fpsh2hP6kUTYVW6oh5PGxbbI5lrnvZb7aOo3DdPYcTzWbdaS0wi28NIRWmu8B2sYEhxcEtow23A+OUYv4zTYvuv/Oz9aNbstqhtnlpdoW16OdXm04XdrwNVg0krc0LTJ5ZdfPmssPM20iYeL5CcL2tCxUIOwAdhE2fSAoDpRgLGXRnviGOFxtl21sTUCEM4xIFt37FT7NnEZK2HnnXfODBByrk7/aX+AEXjJedvrS/Ppp5/OY+ali31B9scWpcCZHqqZx4YiTzMNbAu5Z91zOMAq3+Lm9kIbG8oxY5uxI4FWgWspdlqExMy4kW54ntuddtope2zRjNhkcQ8HazQcfU3dTfl32WWXPM0EjFgKnDB16tBA+6TFAHrT1K222mq+fKV4qLRhnmjOl7Y1LyhAxcyCSYEyVm0A6yUFg8J4lvlsq/8PtCzaTUgwu+4SSyyRQZajiemAk8wsYbB7wstOgUUcZGYKQRZmSBxXKFruDy8FL+FozZdAK8HVsNJiPQQy+qNUeWCR4k0raT5i7QGtMFAPntBOH8s+TAynnHJK7gvwsBHsw/YeyrrTpZdbiaZ0wAEHZM4ms0LVK+7BFiHFXEDzGQ5Nu5dzGmt9yN4LkbnFS7LaOA9xk4XLsrH3a8v0srz44ouzk8kLjMNp8cUXz3Zc3n1jgmki5WH9nhA9ZlvOSxm9aKhswKVZSD7dfgG/em2xPP4k0FpwLYfK1NJDKsmImHgp7mgbuIoeUlooG5kP8CyjkZgV2D5NJ30Aqn3QngbTcMpj17+BNx4u+189fBJJ3wPPAVNNhF3fR9N/mykwuwiHZQaomgbKfAkCR3jj+5k1VOVm/CSx8YLdrch9ywFlJsIB5QUsvLe8J9wP7hP3A9AH7mXQymGHHZbTOnoRDubIrB4/lpshgdaDazmM7GPsb7y3V155ZQZLZHPcSdxUnnu0GQ+Zhwln1TTPlJEGzJttH0NtprzAAv+SXVHG/bLRsuU8EIXEmQNo29pol8Jg8VOxJuraoJcbGXF8XXDBBQskJtN8U3hAi0InbaLIPS9VAO6e8CL22/1Q8qiZiZwHsF+Qe2KBTj42XugSCHDtMATATLy+GHHTdER9RH4fWq5pH412OJ1K5X5pzAr2Vb3IbIumpbRWpoE6DanDJTR6FVltWoSasmUy3VSbl5SXE7Djna/Ksdqv32XMAvZXJiDlaLzg3A9MEYDX8TjTcFgHCxDp99jRf3xKIMC1y7jRSGklyldXbXeWMQw4KIYz1SAzAEoQLaieKwDtCJ1LwhSx/G3Xhmiv7M64wwC0HgBgXGiRpuc0yOFoTAXyunI0iuiqUr0APHBlbwf80UICJBDg2uU+ENXFBCB5StWxZKonPR/bm+npcDSAzVliKsvBVqcA8TwzFwCLOr9zOI4/3vZhus6BxMZJLnfcccc8lyBAANB5Aap6MBzNbAHDhDkAY6F6T7CBA1eO0bqZYjiOHfsYnxIIcO0ybqMJruy8eJC0IgT4qvNDpimmCSYK1C623WgpJ2hh82QDNS2vTv/JD78YuAoVrjq9hiq7ANehSq692wW4dhn70QRXjiz2VKkF60laUL7QeoBrvVBfl1NvxWqAKW+scFd5GKoJbEoHILMOPuxw2EEDXFtxWw3rRQa4dhHnaIGr6SVqkagr8e3VxjGCDuQ/Tpqq7bfar63LorDIhWmAE7DamG+YdNDapPOrzgaq/XpdDnDtVVLRr5RAgGspidr3aIErQjpzAHtdNUmL0+HYwp/Fr2TnC3CtDVLxUx4GaftEQ9XDgZkLEPklo0azW5AGXLEEwua6IFJs17YBrl3G23RcIg/Z7WlBZSsdWrJrLahDy/RVHDsWAHpXNZwTI8D+hXLKVj9cXu/yOpryPWXKlBzwIZRZHH+1ySOBo8x0UM/TUO3Xy7KwVmOF60xLrgaKhEOrFwm2r0+Aa5cxV9YEWwC/VBG/sgFXNZWERqLkLEgTr84uKNqHs6raHEfIJOB1DnKWRptfAsrKYG+gsKFKVRPkkKE8r15Qou/qLIz599Z9jW3R8ti+LypSPVadZAGu3eXW5n8CXLuMPqqPtHCoUVX6E44lGx4nE2pO1UvdZVcdV7MBikUXNMDpUo+6UrfKdJbmJWIsiOkdxZg5v9IGSraC4C8RdrV5SbK7yuUrkm6oTSpI4ayiv9C7zDrKdumllz4bRFDXnss+8d0+CQS4dhlzybRNNYU8StJRNpqR6brYdg/bULUhWpUEMSK9OK2qpHTHUjZbUAFzgeigaN0lIABDNiyhyuqmVV9E4vrlGaC9SrTDdjqUJu+Dl53ZTPV+sC/RfHiuTAaOFy0kQAIBrl3uA0R0sesio9hfy8Zpwn5nOq+iwVDoUR5+8eri45kE5A2oNlqRbPvywUplGG1gCYj/59hiQjGrqJoGzCykcfQSo8HiDQ+lednJ98osUJ3J2BdnI0YH84SZTbSQAAkEuHa5DziUdisyInFcebCqDRfVfxwloqeqmlK1X7dlSVmE0GIIsAmyG5YNsNLElPT2ICuWF21wCRgHmanIrA6gTC6m82YCgLDqjBp8z7N7yCtg/16o1fEy45DvQcCCdINVW2yv+45+zZRAgOsA4+pBMt3jJa42DxROqnpOtJWq/a3ar9uyvAUya8lyVQ+XZNtj55V60MNaLfPSbX+xPuUgAuHBkqfUo9wAHicUShuAnTZtWl8iM4thWjAm6F3V8ca1FcQggxqAD7pcX6JtdOcA1y7DS3OdOHFiLtcilLKePR4FyIMqhn369Old9jL/alpVWVKEzbZuA0S5Mn2V8amN1Qbml1hva4CaFIPK69BS60UKMT6kiFQYEPtCNqteG5uqRDCci/UcsWyxEpiz6db/63X/0a+ZEghwHWBcaZUcWpsW6e147KskdWCL4E8Dpb32Uq6blsOJpcw2AJg5c+Y8R0d0R/dB82IWqAPEPJ3jx3wSEHThZce+yqNfHS+2Vy8r/6uTxblVnd7Pt7M5K5hoSrqc2UpVM2UOkiCdM02egypPudv+Yn17JBDgOsBYs80JIpAchIOpHuXDsYX+4+HCfaXF1L3+dm8/UgWq0yVNHuBEEarTuExXaV5Kg4gQq04/BzjN+GuOBGinHIA4r/I0cBpWG7A1G6FlqlPG+eUF12nMsEBEzHmxAmucY46sarpHmio2Bzqd6C0MkGghgVICAa6lJLp8y9WJIynssU7BAX7MAyhAAJbNT2ABjZNm6+OBRN3yAAJWmpPpax042fVMV9lh2XrbVja7i/j7Xo29gZ8sJFZugTrgibRijvHCNNU3M2Gj5aQ0XmhvuKrAktkHsGJ1dKqJJuEOE46KvHUGQd8nHhs0TgIBroMM6aOPPpoOPvjgXDeJGaAeKYV6w6MPWE03MQiAMcClgbLH4cRyhqB2KXBX91abak6aNClnxqIpCSCINjQJ0E69zOR6JfNOoCjQQEJtY6MumTETFGLMACrNVxVYDjBJdWjAdRYAE4/gD3l9acDRQgJ1CQS41iXS4TceKi80zqsHtw6wpoocUTQZ9lcP5WKLLZaWWWaZrPUIvRSNxZlVtQM6lN/KLdNoZXcSwlkH3w6nFKsGkACGBUI/6hRzTSetkklGwAEzgZmClI/GDPXOC852+LEPdwgK8ML1omVaoLXWk3UPcGrxV4skEODaw2Czv0nWYepvGshUUAdJu6HdmJbKH6okt8QhtFCOlroZoDwsrdfDDIjZ9UbLKeKFULUflufThG+OJiYcdlfOQTSqBx98sOOleZF5MerPeSXs2ZjRTDs198IxxxyTaXi0W3bZfnnOnfYb65ongQDXHscU/1S1AHZT3mPJOmgwQ21yC3BaMScst9xyWcMFxtGGXwJsq+zZQLPbS66Xo7LL4jxvuOGG2eyAcVB3cvayn+jTDgkEuPYxzjRQU3z2PBoskj+tp+40GWiXQJXDi3mBvY82LKUg9kAnbXigfcV/vUlA1Bbe8A477JBfihxX/TSldTBBmAqYDUTWyQfRD1e2n+NF32ZIIMC1z3Fkg+Pk4LRae+21s7NKSCVOLI9/J1oPc4HteKHZXtnpcF2BK1MAM0K0kZMA0wu2B42TFos+ZTovLNaMpJN5xJgJU+bMOumkk7JN3LYStygvEzkERm68mrLnANchjKQHy8OpggAzAbueB49tD9BOnTo1O0vY8bADhExygPBIo/agAQk+4ExhWgiNdQiD0Mcm5Ctg4IQTTsgMDvKXCwC7g7nAC4+NnINrxowZmf1x5pln5qxoZin6G2dOMi/COnOgj1OJri2SQIDrEAebE4MXmqOLJorGw1RAO8JVtYzWw6NMS/UwA1aADFRvvfXWecozD/E0YrM+JMA+CkAlYTEOxsWLUWYygQXYGuhbxsysxHrgKkkPJ2Y9IUwfh46uLZRAgOsCDjobKkeHKaZkzLRWgQUcXj6WPZjWyxHLC12teb+Ah4/NhyABPFfsAdFZQmJR4YyVEGdhs8YM/Q4Qs6kz99Sj6YZw2NikZRIIcG3ZgMflhgRCAqMjgQDX0ZFzHCUkEBJomQQCXFs24HG5IYGQwOhIIMB1dOQcRwkJhARaJoEA15YNeFxuSCAkMDoSCHAdHTnHUUICIYGWSSDAtWUDHpcbEggJjI4EAlxHR85xlJBASKBlEghwbdmAx+WGBEICoyOB/w9+qvMXnVIytAAAAABJRU5ErkJggg==)
0,045 mm
0,004 mm
0,087 mm
0,092 mm
0,016 mm
Um lustre de 80 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 10 e 8 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
![](data:image/png;base64,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)
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
No pátio de uma transportadora, uma luminária de 250 N é sustentada por três hastes de aço interligadas no ponto A. Quais são aproximadamente os valores das forças atuantes nas hastes AC e AD, respectivamente. Dados: θ = 35º e considere os diâmetros das hastes demonstrados no desenho.
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)
FAC = 142 N; FAD = 301 N.
FAC = 515 N; FAD = 113 N.
FAC = 183 N; FAD = 224 N.
FAC = 301 N; FAD = 105 N.
FAC = 415 N; FAD = 302 N.
Uma barra mecânica é construida de aço A-36 (E = 15 GPa) conforme mostra a figura abaixo. A área de seção transversal dos trechos, AB e BD são, respectivamente 6 cm² e 8 cm². Determinar o deslocamento de B em relação a C.
![](data:image/png;base64,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)
0,266 mm
0,457 mm
0,987 mm
0,024 mm
1,35 mm
Com base no diagrama de tensão-deformação da figura abaixo determine o módulo de elasticidade E para o aço.
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)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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ztbzVtWK8k31N15TJ/QyAVBJo33jiV4NWGVZ1JANWb7AyHbLHFFtK+ffuoPys605dBuPPOO8+H4YfO6QcffDB6na2ThMTAMKgHHnhA7r77bmnevLlsu+22fn2Qr7/+Wjp16uTzoYXiQgsb9Es2s5s4Jm7X8heySfa5godzeT7xxBPl5qv/KDfefKt7WUnY69PI9G9PPUXG/eUmYXIdNYVPP/lY7nDHvXfcLHvts68c0q+/9HVHpx06OYLaKGEKKHikvgubTBO0/obWCX+MknxPCRGxAIZAYgQ2cSbvXAkme6R///5+jgSV8LfeekvuvPNO2Wyzzby5iA7oXEtCYrjvvvtkr732EqZ/I9i9WDiKbe3oNVcCUDeTDG9cr640qJ8wS5kkkbNnh502THr2OEBmTJ8mB/Xuk5N0GmzSSvr1P1QefOC+mPgx9U1/7VV/XHHZH6Rr131l+Igzpa/7uDbZpPqha0pgqyvWJEUMqyvXm5LqOeIr1fcUA5xdGAJpIFA/CxU/1Ze4er569Wp57733/H8RMoAAvv32W1m6dKkwIunaa9fPnUgjyyk/UqMWfvfddz1TTZkyJdqnsPfee/umC8QwePDgmAS1gDGeKVysqFgry1ZWpvBEcQW9Y9x9cvklo2THXfeURjnaE/rgAQOrEEMYhbfemuFqGTP8rObu3Q+QPn37yUF9+sqWW28T/Qh5pmLNT+69iqx2xJJMi6HCEQiyqnJdSb8nXwj7MQTSRGCl01OZSHV68oUXXvDL+Xfp0kWee+45adiwoTfd33HHHX7CGmQxefJkb7nJJP1knq2WGNauXevHw3711Vd+NU2NjL4FZNasWeoVo2yinmmceGJYVThieOqfj8nT7shEPp3ziRx6SE9n88/OyKFwXngvKPFkNgqqcDWQF6dO8Qcf4x57d5WTTxsuvQ7pLxu7sdGVaxl+GpEK1xJIihicnRNZvcYRQwHfk8+E/RgCBUJguasY5UKefPJJHy1zI9jzhf4D5jCMHDnSdy6z1P9tt93m55HlIv1gnNUSw0svvSTMtps0aVIwvO8BP+CAA/zIJPofqmO/mIeSvKAmumJ1ZmycZFJxg3069zN57ZWX4t5LxXPB/Hky57/rO5FSeS6XYRnpMPttN+TYHZtvubUjhwGydMli32KoXLOebBKlv8aFQyrX/lTQ95Qon3bfEMgFAvyHvl+4QP4TqBRnK52Kigpf2UafMsMZUd3KgJ9tttlG5s6dm7fFK+MSAwofZuIgQ0FhSjaTML777ju/Fjn9DNmSVZVr5cfV62ul2YozlXgqXbnLXerVqy8NmzRzir1SljjbpduYVVZXVEqdJCa4aR8DLYZCvqdyf0dWvuJBYK0zs85641V54+Upsvj7RdKsRauowk43lxAMR1DmzJnjdSodzOz3gigxsPacruKqfb3BZ3NxHpcYGIXUqlUribfOOPucsnrfggUL5P3334/pgNYMhgut/oncla7FsHxV4Yhhh926ygm//WUoWKL8FuL+z+4jeerRCVKxer1JL9k8NGvZSg48ZJD0O2qIbLHN9v6xR+8dIx/MmuGIITlTUuWGzucK12Io5HtKtswWzhDIBIGvP58rd15zibR2Q8EHnz4y+r/5YPYMmfLU45lEXeXZmTNner899tjD9ysoKeDJENYPPvjAm3vPOOOMKs/mwqMKMXz44Ydy/vnny8NuZ6/qRFkLm9dxxx0XN1g65FDoFsOWO+4uHMUsn7z7tlTcd0dSWWzTfgvZreuB0mW/nn6hv4Zu6QtEa/trnIKnxVDh+g7quiZsIiEcUmEthkRQ2f0SRmDpdwtk4oQxsvzHH+W4Eb/zy9646nv0f4Oeyra8+eabPkpmN4dJgaUu6AO84oorZM8987NgZxViGDJkiB8/yyp/zLyjn0GFmXdsaamFYD8CwhxzzDE+SLwmkj6bjEsfw/ICmpKSyWOhw7zynOugCjVDg3lq3LS57NXrUOk1aIhs2nGr6C0+5bUhbCvXrV8tdfXqiuQ6n53JCaGPwd6Th8J+ygyBpd8vkHuvOl8GnDhCdt23py/d8tAopFWuYpQtYUVVdCojkhA2wVq5cqXvfKaV8Omnn/qJxYwCzed2ulWI4YknnoiWuXFoyGUTV+Ps06ePJwY6S7B9xdt7IV2CgImXO9u3SXwEVrv1kt574+UqN1tt1lG277Kv7LjH/rLtzntIg8brWwaJsPQtBmfqrHQtgTp1Ek/KC7YYEsVdJZPmYQgUOQJf/vddefq+W+XQU86TrXfavVpdlI0Wg+rIFi1aCMsMHXvssZ4M6GhmNBJHM7csPkto4wZbEfmAsQoxbLfddtWmSyE46JxmMgakwDlDKFXSMSHps6sdMRRyVJLmo1jdN579h6z4YYnPHh3Iv9qvj+y0bx/ZotOuUnfDTnLrWwa/vI+ayrKGFoNrfdB3kEzn85oNTWiGudp7qglZu1dqCCxfskj+NeEWOfb866VZqzY1ft/oqWxJy5Yt/WAeCIEhqhycc7DkEARRCKlCDMlkAvZKxGDpEAQmimyCnkxZSiXMz27J61lTn5SWm20uuxx4mPyqW19p2mITn/3Kda7avy71j3WtIwb3pG8xJDOPYc2GCgCEYu+pVL4cy2ciBNatXSP/uO1S2b3PMVKvcYuE33almxiaS0mkW3OZtsadFjHow+oqCYRdvZ+su9qZNFZssGMn+0xtCbe2YpUcNPT30mbz7aSuG3KKZIrVWtfiS2mCmxu6h/h5DPaePBb2U/oIzJg0Xjru1FU277J/Uv+pioCFJN3Soyv1CMZRDKRAfrJCDESkpMB5usL4eGY/m8RDoL40bredrKLfK43WQbwY16z72fdjr+9jSDwqiYlwiDcl2XuKB6n5lRgCC+e+I0sXzZcDfnOxrKykopS4NZDNzuea4CokSaRFDDVlOB4L1lT4mHsMmUysn2IesYtMEXDDVV3tv27dxMCzWJ8Xe0+Zgm7PFwECyxZ8JTOfGCc9Tv0Ds8nymqOgnoxXqa5Jx+Yjo2kRQ3UZi1fA6sLG89+2XWvZauv28W6ZXw4QWNCyqXzqOhlY6z2ZD1GXxOjQuoXsYu8pB2/EoswXAj85c9Bdd1wk/QefLl267pNSsk1WzJMXU3qi9AJnlRgyLX6d5Yuk7rJvMo3Gnk8SgToVP/qQa1znWzLDVde6cEidVUvtPXkk7KdUEfhy7kduYk+F7LbLLil/y3VWLMpascOV6eB1MpW1rGUkFFHGxBAsCHGHr0Pp1Xg59oY/JFVzrTESu5k0Aryrhm5I3Do3yqhOnZ8TPrfOd1aLTHrobnnyb/ckDG8BDIFiREB1FIr3suHHppXFbCptzU9aGcnRQ2kRQ7ggXIf90skvs/t0Aal0nrdnUkPg8ssvl5tvvkW27NghqZnPK1es8Ancc889Mnz48NQSs9CGQJEgwFI+EyZMkPHjxxdJjoovG2kRQ/EVw3KULgKRyM+ydOE3boJb4s631Rv24kg3LXvOECg0AkzIvfjii+W6664rdFZ8ZTobFepcFCRtYijWAuUCpHKNk1mWzGC/7OLzUyoiMzLDwix41otnzRfWd2F/cFaKZMc/wrP71KGHHhp+zK4NgbwiwDpv6K5u3brlNd1kEismnZo2MSRTUAtT3Aice+65wm5RqUpwOXaGsLIIGHt3sDQKCyoefPDBfotCSOK0007zy6bcdNNNqSZj4Q2BrCPwj3/8w69SmsxM/6wnXkIRpkUM8ZhNO2Nw9byEcKiVWWXdq0z6dJYvXy6DBg0SVuJlqXaUf/APx8Jgxx9/vCeKYqyh1cqXXosLzbBsWrO9evUqKhTQp/F0aiEzmXhJzTi5Cyt+vVY3ziPmVUIIsJ/0kiXrF+urKdu///3vPSnsv//+3mYbJAV9rmfPntK1a9e4mz5pGHMNgXwgwD712267bUzlJZ10aRkvWpS9Iavp5CHXz6RFDGRKSSDoch48cp15iz83CCx1W35ecskl1UZO7ebuu++WcePGSZcuXYR9Odi0vDr59a9/Lez8Z2IIFAoBvtk77rgjK/1c//vf/2Tw4ME5K4q2HtTNWUI1RJwWMSgZaLx6jUutUclB75tbWgjwQTJ6ozr57LPP5JxzzvFh7r333pjNnOI9Y0Nb46FifvlGYMCAAUILNlNJ9P/INH6eLyQpkH5afQyq+NUNkoH64ZqUJwJ//etf/V4c7N7HqKNEEs/ElOgZu28IZIrAv//9b5k9e7YfeUdc7G0wZswY/+1uvfXWftOxDh06ZJpMWT6fNjGEyYBrPXgBMB626kIzX1m+tQIX6tlnn/U56N27d9SkWOAsWfKGQBUEDjvsMPn+++9l6NCh/t6UKVP8EOqvvvpKhg0bJmeeeaY3L+n9KhHk2EMrz+rmOLmUok/LlEQKYWLQlkLQn3OT8kIAE9OcOXN8oTp16lRehbPSlB0CqoPat2/vR8exVSbzay699FK/t/LZZ58tCxcuLFi5i5EUACNtzc3Wc0oCuOGDVoP6FQx1SzjrCPAn0uW3O3bsmPX4LUJDIJsIPPPMMz667t27x0TbuXNnf73KzeZ/5513Yu7l+0Ir1flOt6b00jIlESGKn4MZr5iMlARw8UcwIwUP72k/JY0As6W1lkPlwMQQKFYEVq5cKZMnT/bZCxNDcDh2w4YN814EJQP9L5EBPdd7ec9UIMG0WwzEgZJQQlCiUGLQa3W10IG07bQEEWjbtq1wIPPmzUtYAioNJoZAIRCgJbBs2TKfNHNtVKjMPvTQQ/6SWfoMosi3oA/RlUoCQVfzUkidmRExoPTVpKSEwLWSAefBA3+T0kaAj7VPnz6+EKxSWZNMnTpVbr/99pqC2D1DIGcITJ8+3ce9ySabyG677eatF6zgzIz8SZMm+RFKjFxq3LhxzvJQXcSq9HGDBKHh9b5e59vN2BZAqwEGVpMRyj88EkkLictBLdJqkvl+1dlL78ILL/TrIz3yyCN+yYsePXr4j1tTwG47duxY3xfBUhkmhkAhEHjttdd8ssx25ptltjJkgc5iyPXAgQOj5pt85k/1IIQQJAX1x1X/fOYrmFbGxAARMOs1HhkEC8o5ZKB9EkoO4eeCmbPz4kSA9ZVeffVVv04STXGGBZ5wwgl+RdW3335bHnvsMbnyyivluOOOK84CWK7KHgEGSPAtIldddZX079/fn3/77bd+7s3RRx8tf/vb3/x362/k8UcVvyr/sJ7U+3nMUpWkMjIlaWyYi4L9DRRYzUnqBk1KnKs/LuFNSguBXXfdVaZNmyYXXHCBzJ8/X0aOHCkXXXSR/PDDD/Lcc8/55npplchyW04IsAQ8I+hY/n3fffeNFo2RdLQeGHY9atQov9959GaeToKEEDwPEkShdWLGLQbFUtfCYQVDJFhIzrWFQIE5hxDUj3OT0kNg8803l9GjR5dexi3HZY8Ay2ujX/r16yetWrWKKa/O1qf1AIHsvPPOMfdzeaFEgKvn2kLARfReLvORKO6sEQOFwqSECznwUjAbaaGVBLQ/Qq9xjRgSvSa7bwgYAqkg8Pe//90HZ9n3sHz99dfeC73Tpk2b8O2cXasuJF0OJYAwQah/zjKSRMRZIwZNS01KNNU4gn0K9CcASJAUjBgUOXMNAUMgGwiw+imz85s0aRIdQafxsmMhq6wiLIux2Wab6a2cu6rwE7mY2gstWc8BrKj9CRADrQclB4hBSSF4DlAmhoAhYAhkA4FXXnnFD4ZB6bMZlQr7KDBKjm1mDznkEL/roN7LtasthLAbJAltUZQlMQQB1k5miIGXEiYIJQf2Ama7SIaVmRgChoAhkA4CVEQxIU2YMMEvBU/r4NRTTxX6whYvXiy0JJjT8MADD/gtaLVfNJ20kn1GlT0EoPpQyaFYSYGyZb3FEAYs2IKACHh5kESw5bDNNtsIC7I1bdo0/LhdGwKGgCGQFAIo3hNPPNEf1T2APsqXBBU/ZBA8uKfXGo7rYmgtgE/OiSH4Engp9EFQeFoPwT4IQDExBAwBQyATBPKp+GvKpz/EhxIAABCrSURBVCr7IAEEiYDzYBgNh1sMkldi0AKHWxGQhIkhYAgYAqWMAHotrOyDCl/JQAlCrwlDZTkfpq1k8S0IMQQzpyQR9LNzQ8AQMARKDQFV8GFygADQc/EIQYkDUiBMsUjBiaFYgLB8GAKGgCGQCQIofmr+YWIIXis5KCFwDSngFpMYMRTT27C8GAKGQMkioMSAq2YlbSkoOXAveM5eEMVGCrwAI4aS/Qwt44aAIVBMCCgxKCkoAcRzCVuMLQXFsyiIgeGry5cv92OMNWPmGgKGgCFQSghAAJiS4hFD0E9JgbDFKkUxNorNM5jkZmIIGAKGQKkioC0GHZKP4sdPD66516hRI08gxVzO4qWsYkbN8mYIGAKGwAYE2Br0xRdflC233DKmxRBuJShR4F/sYsRQ7G/I8ldQBNhf4uGHH5Y333zTr7/DFpGnnXaatG7dukq+mNnPVpFPPPGEn9nPPsNsVhRcr0cfYuY/a/awWQxmVOIdPny4zf5XgErIZc+HPffc079zJQN11WyEmamUpLRyW0rIWl5LHoEZM2Z4E+emm27q953485//7M0CBx54oLz//vsx5YNAWI6BLSP/9Kc/yXXXXSf//e9/vcIP7429ZMkSv1YPRPDb3/7WL+aG4ujSpUt017GYyO2i6BHg/QVNSWxBgMkIt9RIwYPtajkFF/cHjLhdlgqeD8vAegS+++67iKsV12o4Vq5cGenQoUPE7VAXg4Or6Udcf1ikV69eEc5V3FamEfeHinz88cfqFXEz+iN9+/aNOIUfccu/RP3/8Ic/RJytOeK2noz6EVe3bt38/yAYNhrATooGAd6xqxzE5Mftcx5xi/bFvOeYACV2YS2Goq+LWAYLgcCXX34p8+bNqzJSDhPBFltsIe+9955f64u8saQL+1yzEGTnzp2j2aWmeMopp/jWxcsvv+z9WR+MsGyNivlBhXiHDh3qWwwzZ85Ub3NLBAFaBsU6JyEdCI0Y0kHNnil7BOgoRFm/8MILXvFrgV3FT7744gvZZZddvOkA/9mzZ8uHH34oAwYMqLKsAVtLIrfddpvvo3j11Vfls88+82HDJoaDDz7Ymx3GjBnjn7Gf0kEg/C5LJ+fxc1oyxMAfEtssrkn6CKxYscJ3kqUfwy9P/vjjj79clNkZS8HvtddeQk2fzV2o6SN0QjsTkN8FTJXBU0895b9L+gjCwn7DbB85depUqaioEA27++67h4P6PQToqH7uueeEvQSqEzqr2dO4f//+4sx+npiGDBki5Pnkk0+WpUuX+vz885//lO7du0v79u3l7LPP9svda5zO9CHPP/+87+N4+umnhXd57rnn+taQM+v6jnHCfvTRRzJ48GA/4ubII4/0pKZxlKMLdgwMqO1StKOS+CN+8sknQgcgHX104LGRDyNETNJH4KWXXvKKjg3QnU3bHyipeCNngqnwZ6Gmy0ga3sX06dP9Rut0spaj0GLA5HP44YfL7bffLuwTjPln1qxZgsLlXIUWA8KGMGGh1cHmMIsWLZJvvvlGmLODdOzYMRxUGjdu7EclEe7TTz+NSUMDo7gmTZokrp/Cbz7DNpV0eg4cONBvU0nLhDTZvaxt27ZyzjnnCKYp/Js1aybXX3+9Jw0I6sILL5Rvv/3Wk95rr70me+yxh2y11VZy1VVXeRMYhPj555/LoEGDvJnsmmuu8SY0ypDoe9H8lpoLLjfccINAjowU22+//bzLu6lNUlTEQI2K2tjjjz/uh/zx0Sp787HfdNNNQk3HJH0EqEEyguZf//qXP4iJP3mPHj0EU8YRRxzhR1Pgz/uAANgVC0JBSWjNmfs33nijuE5aTkteIALsxEGhBv7kk09Kz549vTJGaVx88cXCMNSgfPXVV/4ynvLgu9XllL///nuviAnMfsTxhDzQZzF//vy4xEALhF3JGBJLfshb7969fVRsfD9+/Hjfmnj33Xe9MucGNf5nnnnGj5hyneQ+PyeccIJvmdx3332eQCB48opATJiz6Ge59tprvT95Is0PPvjAk5vrfPdh+eE/WS4teSoCv/vd7wRcVMCc1tmxxx7r/yflUlYtXzy3aIhhwYIFwsdGC6E64cPX5nt1Ycw/MQKYIoICUaBkOC655BI/9h7FgikFU0J1gtmiXN4HteK77rqrSlGpjWMKQmGzNSSKEgK49NJLo2G18hL1qOaEcMmGRRHXJIp7u3btosGYVUurhdZJsPWCwqfVgqLHZER5EMqGEIeSAtfbbbcdjvzqV7+K+hMWkxTEQPxB4X9LR325CK2yoHD96KOP+gNCRw+VuxQNMfBxYodFEWGqwJbLQS1V5Z577pE+ffropblpIMBHTsdpZWWlfxrzQteuXaNNZprQjK7AVPGXv/zFmw54H4zC4X3MmTMnWjtEkbKpejmIKslgWSjzsGHDPGEw4uiKK66Qe++917vUIs8880yvON2wVt/5rJgG46B2yVpgCJPiMPFAMPHCEoawKP2gwsc/WQkq+PAzkI3mJXwveF1THIQL551+mHKpRS9btsy31NasWeMhgUT5f2B2xayECZGWH+++nKVoiAGQYWOml3PQEUbtClvrlClTZOLEid7WS1Mv0Ydbzi8s07Jhn8b2fMwxxwjmBGp71DSDmPLhI7wP7Yfgmj8/ZgbeBfZ33gsdkuUotKowH7CGF+Y3hL6Gk046yZvc+D75Fhm6CtGCBR3B8YS4MFXRr0BYiDZc6+Y5lDamOVokmLFKReKZ0Eol7+F8UvlkaQv6ZtwcFE8K/D+CEm5RBO+Vy3ndYi4INSdqaoyooDVBc65caiaFwh2TiZugIxMmTPAffio7R0EeKMLzzjtPXn/9dT+7t1DlyHW6mNKw89NJHxRqjdQWqX3TEY0cdthh3sXMEhZGFy1cuND3S0C0ulgkw1vDArFg1mNmdcuWLcO37ToPCLDcCe+V1iF9SWFSyEMWiiKJoiaGIEIoJZp1alsN3kt0TkcSHUfxhM5UOlEPOuggX0NkbRuUQjwCQhkQF2PTOahRTJ48OV60ReuH6Yjaa6bC+2CNmHIVNSUEO9u1rDosVb8ROu4ZzcNCauqnYRntQ0sAMuHb5bvBVk9FJxwWUx1mGipCJoVBABNhPLNiYXJTuFRLhhjShYihejQL4zX/qKFhI2c47LPPPuuV/FlnneXNK4888khMkpi1RowYIWPHjvXkwFhzzhmlwjC+RJ2FMZHZRdEjwBBeOnDDE9zIOOZNFAhmNoRaJcocxU5rTAUlf8stt3jb9FFHHeW9WT8HkmCiW3CgBeRBWEYZ6aQ4jSeeGyYVDaMd3OH7XIf9qusI13Dh/ggNr/c1TXPLEAH3kgsuuVoryX3IEWdLjzhzScQN6atSTtascTXfiOtQjbnniCTiWicRNxks6u9s6hFXk4i4DsmoHyeuA9avkeOGc8b4l/KFI8xav1YS789VKiKuwzjiKgsR1ynp18FxfQkRZ4OOuMlhMa/YDe3135qraERYN8e1OCJnnHFGxLWqIq4FWiWsU/4R1+cQcR3R/p4biu2/OWdiigkb74K8uDk9/rtzQ7ujQdyMbP+tOzUVcX1JUX837DviOrN9eNdS8f7OZBVxy3d4P7eQX3TdJ/Lu+k68P64jNx/emcMirqXj/UeNGhUNH02kFp3EWyup3IpfhwIVmu+YNEVnHjWubAodpIxyuvnmm30nEs33oOy4446+05UWQ9C8gv0cOy+Th2hBUHOidkinLKOkMKOoMHIF0wI1RsKXg1BOWkL0Q9R24f0yf4b+A0xndCCPHDnSf09hbGg1Uuun9Yk5YqeddvLftQ7/DIbnm2LJbb5RauLEi12bPpyahM7/+++/Pzozmu+WFgZp3XnnndF5PpitmN9AXwXzD7RFS3j6RGixaCua75kVZFnXiW84OFcIE9npp5/uW8XMa0EITz5ZHbY2CqvmOtL3GJZt+YuB6XLRYqCW5jpaI25+RKRp06ZVWgzUBmktUKsLC6skOlt8xJkTIu4PHHHD8XxYN7s0HDTCKpyE3X777ZOqRVEDI07E2a8j1M6pXQaFMK7js4q/hqElRA1VxS0VEnHj0/XSu04RRNzIl4gbERPjn8yFtRiSQcnC1FYEakOLoSz7GKiB0UpgFmh1Q+noNHYfdtzZpYzjZxw5LQlqzxqWYWxhISxLdWB3Xrx4cfi2vyY/3P/jH/8ojkC8HZoZxSxBQJyMfKEWQjhGXjGkkZoaoyJ06CgRMWKF9f4ZGUMfiDMd+OGTxEEN7oEHHvDpMXSS6fzEQW2VWc4mhoAhYAgki0BREAMdcvGa28kWIhgOZa+deIzXr04wESBMOIonNMFpftN017DxhhDSZNeZpBBJPKFpTqckTXrio9Ma89m4cePk1ltv9ROeaJZjomBm6oMPPiiMp2ZII8sfqJAPlqbgWeYjQA5D3VLNxEtZWfsGcwSjqiBFFkdjBAwLrJFusoK5IThzNtnnLJwhUBsQYBY8lcGylnJrDrp1fbwJCTMNgoklnimJjTbci4242nRcCNykJn+fzkZMSoR1O3PFDetstv6+W+Av7n31dDt8+XDORqxe3vzkSDHiPrZoR6TedC2GiFPSEddqUK/IQw895ONwfQBRP04cGXr/yy+/PMbfLYjm/d2ktBh/uzAEDAFDoDoEiqLFkC3mZfgpQ0fphEs0FjnRfc0THW3JhqX1UJMQFxIc/48frRaGPAb9CceEKMxLTLQKS9hEpksoaOtFwxMHUp2ZS8OZawgYAoaAIlCzJtNQJeKypDDr9yRjBtEw1a17zxh0hPVtdKSITnoKw6GjODRc+H4m147Rq6xNk0588SZqpROPPWMIGALlj0BZEQMtBWY4Y1fXg85e1p9hBqr6vfPOO77jl9cbrzaOP4tpsVwEBMJkJ0SH9/mLDT/0Q9BSoeZPh6+JIWAIGAKljkDmayMUEQLMhQgLNWU6ean5s2gcwjkLoLHuOh21YYFIWAac0T/McGV9IUxULFscFloczG2AFFxfRvi2XRsChoAhUHIIlBUxjB49usoLQHEzBJSWQ/g+m7GzZDAmIt1MhQhY/RLzEEtp0L/ABDbWUqKlgWlH+woIy2gjiIRJQ0F/7pkYAoaAIVCKCJSVKSnVF8DsXloBkIMKfQu0Dnr16iVHH32096ZTmRmhzFZ1o4Ji1pyBdFiPP5lZoDr7FHJR4Zx4uYcbFDqekWD4eHEQRp/V/g78kHhxrL9jv4aAIWAIVIOAUzplLU5R+nVi4q2V5JRmxO2FG3FLY0SYfe3G+kcuuOCCiFvqO+LMQ1VwcXv9+rVvWDfJbecYcSYqv2aNW3ajStigBzOpXSsk4vor/NBRt6Caj98p84ibPBdxk+S8v5uHEJk7d66fTc1aPKzX5F5bxC1JEHEE5u+5rTe9nyOuiFumwQ93Za0nrgnL+jeuZeOTd/Me/Ixv/Fn3xk2iS2p2djDvdm4IGAK1D4GiWCupGs7Kijc1bGYCs9x0eK9eEnCv3K95wj7T1LaZhcyuXfE2Oycsk85oNTAjmZYC67cn2lSFjuxp06ZFa++ky/BSOrXJm7YC8KefAtMV6zUFhbSY/OYW9ot6Y+ZifX/WmKIDXIWhrKway5o9wZFUzNLGP9GwWo3HXEPAEKidCJQ9MdTO12qlNgQMAUMgfQRqdR9D+rDZk4aAIWAIlC8CRgzl+26tZIaAIWAIpIWAEUNasNlDhoAhYAiULwL/B+DjEc13fe9qAAAAAElFTkSuQmCC)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
Tensão AB = 8,050 MPa; tensão BC = 7,860 MPa
Tensão AB = 7,795 MPa; tensão BC = 6,673 MPa
Tensão AB = 4,568 MPa; tensão BC = 8,754 MPa
Tensão AB = 9,638 MPa; tensão BC = 8,245 MPa
Tensão AB = 3,638 MPa; tensão BC = 6,245 MPa
No pátio de uma transportadora, uma luminária de 250 N é sustentada por três hastes de aço interligadas no ponto A. Quais são aproximadamente os valores das forças atuantes nas hastes AC e AD, respectivamente. Dados: θ = 35º e considere os diâmetros das hastes demonstrados no desenho.
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)
FAC = 142 N; FAD = 301 N.
FAC = 515 N; FAD = 113 N.
FAC = 183 N; FAD = 224 N.
FAC = 301 N; FAD = 105 N.
FAC = 415 N; FAD = 302 N.
Uma barra mecânica é construida de aço A-36 (E = 15 GPa) conforme mostra a figura abaixo. A área de seção transversal dos trechos, AB e BD são, respectivamente 6 cm² e 8 cm². Determinar o deslocamento de B em relação a C.
![](data:image/png;base64,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)
0,266 mm
0,457 mm
0,987 mm
0,024 mm
1,35 mm
Com base no diagrama de tensão-deformação da figura abaixo determine o módulo de elasticidade E para o aço.
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)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
FAC = 142 N; FAD = 301 N.
FAC = 515 N; FAD = 113 N.
FAC = 183 N; FAD = 224 N.
FAC = 301 N; FAD = 105 N.
FAC = 415 N; FAD = 302 N.
Uma barra mecânica é construida de aço A-36 (E = 15 GPa) conforme mostra a figura abaixo. A área de seção transversal dos trechos, AB e BD são, respectivamente 6 cm² e 8 cm². Determinar o deslocamento de B em relação a C.
![](data:image/png;base64,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)
0,266 mm
0,457 mm
0,987 mm
0,024 mm
1,35 mm
Com base no diagrama de tensão-deformação da figura abaixo determine o módulo de elasticidade E para o aço.
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)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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MNqwYlWOKY76oCebIlyUqFlnvUU0C9oUDrdY9ygGMFKXJyeGP6zje+kird/akNabKkJAsA5vJ6OCIg2N0RU03jgGWlsyvAs7M0kTrtgOoVLBSUqWoh2VaVOJFC29l9awLd7jiTWVX8VAk1PA4wA8DqgifR36qN7ShXkG6ZfBsfjueJ8ZEw++IFIF5LRz+OOQh0vDVAeJzk2vGvy/YOcTtv/7R0svO26ve8gu95IOtkFmIkOtFVqx6IGf5J9hjYPDSWurrdYQvLgg0b0juYFDv66KPTwsVLAOB2fp2pglpgAeZYvUx4tQN66mi7uzvZuLuLe7Y+BJQ9ombTpk0A7DiqAbY7JKnV69ancWa16uhzN21Yn9qRVkdQD6x7YE265ldXpX//+lcBa+xqYR/NylyQIIZ3dXWkfffbG8DlIRx5xzE1Ftf5/Kclyc7n2t/Dyr4nSbMhoaJTLaGTTZPjaZ+9F3NfYdg+mfZTimUkP47N1qEHLkptE0OAHmZcwxtSV9tA2Ly2A65jmzeldvaH9efZXtXJMYCUia0KixQmUSmMIOViWTCGmVetNpYGh1AdgIlOXlWxBasgpU6Mrk8dAP2iXpQKoxvSMUfsK64y0YaU2sDTSSTnsDQgv4G48JVqijJmXtnNb6BtgeweBjTzvTiPNqAt8juz3kIqVypU/QEQslEL+IUVAXpWZcRxXk8iQipFnvSSl6aVq1Yx8z8Sy2lLDNXrpXvQ43bFcL+EVcF4m3arqB5YWFDWDItTE9qws1XXqoQ7qa0sWDjiH/SpkwB4GdBEIAZoR1N/f3/6rVNfGWeGobZF/9uQZMlHCUAniQBdJWS1EgGw5r0BxDPLN5+eW+qC+VTb86isjxbVwbZA1qrym7P/m5nY+sM/ekO65vqbUg0ptAbYlthomz+xN4EmW67qssxOYqlL9TfOpFYvABoSJ5NVYCHfmQATEetIw/wTkEdGRoiL/QjUwbYhEzODVUeaLaMLHh1nVVhjyD+OuZYbvzi5FSoGJ9EA5wn8PP0pj09f+/LnUpfCK2ZfSsTa+LYmvloTX/Jyy7Uo8LBRQGCczQmw4FwY/bsv7HC1nn771a9JPQuWpLEaZlm9A6gPyqgCOlMPk1yd2L1WR0fSQH9PLKXtw2a2Dem3C/2rCxb019FZTj0oaLtB2wrScRuAOoGJVphkoWfdPDSYhpFgEW4jLk26qqWONIIJ1yiTYaPobr2aZ/W5Q0ObkXYn032r7kwbOLIGzI8duzpB9Sp+290HYfbizVbkPfYd/U3LtSiw51FgexLio6m0o5hshQPYqgDvqLtpM/M/jL50UsUsyLYJcBzD5rW9k2E7CtOwc2UpbQVbVSfHJlELaDVQRQr1jK9anIbgN2xjCcd62DTOxFdbe0/4ZcQf+xtUMAVzzwOXylYMw4cyEvOGzRtYcTaoWIwknSfQauhtXbdQ6GrVCYcOQWF2nruWTnaeM8CeXPwCaL0+2pzSokJub08nU1oMukGvm359feoeWIz1QHcqsy/BOIpRj4sRLrvR1TpEbwf0OrEM8HBFzbNcCltDx9rWyQKFzo7UUwEoUQ1UsFhQHVAHXDcNDQVYu/eBCx/GhoeYQBtPmzduxNIAm1jiGUNVUEXNMIGe1v0NRjHh8gjxWIyAFcKiPqwWyK9WB6J33W+oFVqupS5o8cAeToFHM9C6T2voQwGtvRb1pfO/dyHPLoF1Jy0AVJ2tE02gsZNNrvBS6lRn6g5bG9duTL37HBQbyWiiJRhX6uykhbTLFgaht53kvSqArp6BNIzUXGITmPoEOtq196ZDjzoClcBwgOrYGOEA8irWCS54MK0u7HLVB7uBzSHPenZqJ58ufLB3aAHsdMNqTXxN06J1t4dSQKnw0SLNFvkMAAWwwK3QvbrPgNsJVpBSFczHmWzqQOepblSpNA/lmdZyUguo+5fPfj598O8+lv747e9J7X2LU++CxbG3wdL+rrRkYU/qw65VuqxbvykNcnT4uo2DaYTlsOvWb0zr1qxKV1x0Xjr329/AxCtrFCuNK8oBJFX3NhhnUUN7gG6Irrzr7e1FQ4AVAxvICLRx73K1ee5a6oJ5zgDzofgC1qMFaM2nzqvwNsEsFJJQ6sRG1ndKo9rO9nbRdJEmEU3xlfW0nPuFDSzvCXj4wQeldfffn8HXJblMjrWjYqgAzNrbtrM4oeLuXF3ocNmdSzOxMjrdtvYR9jAYTfvtt0/q7mKjmcBY6Cey45SUQ/GqxGu+mFCbctLZpbTkU9+uGmu5lrqgxQPzhAKPJqBtrhJNsXQZermCXiVPM4gTDfxQfMkSpvsOlBjCL2X1lzqE0fFq6kYloJoBCAz/AdYBhEr4vmPhLBNbk+h4BUdNupYsXuy8VsMpT7uXV07Lv/rzSBslaF0Yj+XoFXSnsxVf5/efliQ7v+u/VfpHOAUao/QANYVJoc7jXlAccI+tgCDLs288X6sEsPpqn332UacAYI6lBbwIKEQCLmxohUXl0oBOLBQMr+mW74eYCFt26L4xkZbJg79IBgD3ykt/rlvIEXPNfUF88SQyZe7spj40nuffpQWy86/O522JH63SbFFhAlxgVxz5IiwCfqoMeK906hsXC3Agd1q699KQZIcGh3kLiArE+p1yhEXCzZIsFgjENcl3gof969Ily0JSFVxNIIDV6Bvh48ozAvCUC68hM/tqy7SmPM3DmxbIzsNKn89FfrQBrTavAmghKjaETZ4bkMZQv5Aa3Z8gDjVkCK/pV/fAQCw0yOEbtY4fnWqHtlgKNh2375V0R1hksGjBwgDZRjJ+mgJY78HneM65KHLjFz+YBgmEKsJ389u1QHZ+1/+8LP2jCWgLgBTMCimyudIKgHVQXgeMY3mt4ihOG9pBJFlVCvEm9LgAYKHPxZ9SrpvDmE5OizO8UBfswzlfIYwWKEp8gfVczUdOgZvZHMA/ndnt+pwt9B73rgWye1yVtgq0R1GgAZiWSZBrGp2HCsD9AbIqALgU3ARFfm7gsvfifdmmcCi+5/BNiOmLcKocCILyV0lYPe/g4KZ0wP77ZjBWNaEzqOiKnxxLlogLuFW3q2vAedy3/mQK7J5uZrYueFfXwIw0Zzzu6tSn4zfhbf2mfbXudjMFCml2Nye7c8nNZNpmPiImJU+FUqVRjRAKCA34AxsPPOTQNB4n1boDFxpbwhcWApZflwEaiOSj2oM4sZaNZfbaC0k2POTLln8LgPVt830TqxNX1uduGXI+Pu0GkLUSmn+ZzM38MvPe/rT4TX/Lb7aIK/NJRFj4m3rwhpfFe3NQ3G/vGuGb/mzP746+5WhIOXRUzTRo3BfDtyb6TJe8KG9TZmbcFg1lxustH2dmcsuvWz/trP+tY3jUvHlUAK28gYF/MC+U9VY0LaqpkCvlsWp1JDhJL+54sPeBj0kbN6zGdnYSe1dgNuLJpxzIXayYjb0I3Bi8zp61bZOjqQdLg1GODB8YYFNwUXsmQkTCxCULx0etHGZ6yoBv8JbbmoSPCJqoZyr+aZxS/Jstc3bI2uV5nbrXY+NFhPWb/xpXbuN51mtEYnD9NyL1Pjzv3DWHl9UKbpUZG7+wieE+hoMFk27raoFabldQ4BENtDFJBZqxb4E8rmuc6hL3smcZ8XMCW1hdxU1Z4pTYzHF7Y2GgOdXoIKfJslTWTV5KROQ2hW704qRaDXCtYPBaYkPvTt5VRzalXvY4cPlsicUKka5syj+PoglWjtRaf+ZKgd2gky2AY65Zyv6mesEGc+W3AXWNiIzX5+wzet3ii9ioAsvxEU4DFKwLucotXAPYtnENxnZQBXM36cMinkZeGtEW0W/zapgqjcBg5rIoU8558VRks3huvhLScmzDFZMi2/icX287+OzBdtb/7LG03v6mKACzqScV7NrQubqMVoC0mkrxzFEw7qLNvq7yiqDrogJPqF3M8TOr77k73bXittSxZiMg3JGWLujFwnYyDSzoJ442jq8ZjI1m1gDEk6z8qnIcTYlTDS6++OKQbk8++cWAMqcpkEYsjADZXYDQzHvmpdE0mkodoi7PD679N0X0qL/dDSALjXbQcItKar5uTdmisqy84t64qd5ZlD++ysYt+Oc+2DLQ0QehefZreC5gMfzntPDdiGfnrjJfc46Nx+fInx8j/1zDka8pUI0Uiw+t6y6kQCHNxshjF6bzYKM2X2V21ZJdBFgVsW5t2MluXC4+kJdcnAD68Y0DFVnOyrmInFrD/gas/lq9mr1e121mq8OUbuN7F3vKVjlypt2DGNEtuEVhtQ3zL6TaHvY+OP64p6YvfPFLIem+GJBVQg6Qd3KMAG1usYgbZ9OYDpbqznQtzt2SIrt8gxgZo9nNWgF68kNx9daxULzKIabDzYxRX2iYpjzknYimo2oCZL3utHto4WVOpezmWWEKN5WLvHv81ONWN2Eszttp8N3Ky3ZfTKeUvTXW/mwzzEz92hRZtxliz/kgjQu+e2SUKuvllWUnONxQEO1sd4/XPJSfZMnVJCoA9o5hq0N4BMBsKwOWAOx4fGNhASP8g494YjrxRS9Nz3jms9jEpZsls4vS0oW9qYezZRYOLEKSnUhrhzalEfaJfemznxj9PnvGkBZWCqM1NpPh4JoxdurihfSJTWkA/ezyteCzaX5RlNAV/vLTfPy7eyTZbVG2qBm/F/ehBOI5aitX2XTF6bF4ygHsWbMrKpWo8CJjhrzaBGgNjzu8FCmoLqiHNLvDINv2gPoh2KwoX+FzKl85tebP04BqyKKczVJuEUnr+pukgADyyAJapVe5mD1dkSLz6io35QZvEUs/9U//ki7+5XVs/NIHMIKK6F3LtVFUBhyiyM6utUpPGqV5lDt72F1rA1skTqS+jqVpBK9u4l1nksuhv7t5lcc4DhyRFixNH/37j6eb7lkZvNeJDe2Tjjkynf6Ot8VJDaojiv0UYpetYt3vb7Ii9rC4dks3Mw1/DeoFbvi2+SdYskGFABm40wAfQLfGECaWBMIQBTYV/uzrbRwhgTQA2nORjE14y/687viXe10Zu/GLvCglP9gfEgc5idwoZvBjkzh+6tgoF78qOjaZu4bk4W+yxkYdcfVeemU6ePdQnLFsGVMz7SOhiH5rfw8l1VbYh0oB5w/ki8JNoG8tM8z3d/4Pfoy4uSBNdPanca73jdTSF//tP9LXvnN+amNz7xrvu/oXpd6BhRG8o6sHCRd9KjtwjThZBmDGPghI8MarhKr0euGPfsIZ4v2c893P/gSV9KOfXAz4wqMwh03XjmiCybNCbWDkLb4JEs/6Z7dIsgWLWBFRS4JrFtC4Nm6iAvU5PZOqdyGpDaRsqPqjMgXQ8BcXtoDj6sSWgFrCeFrTFGEjGEI/c3WRQeIi4PRE2hYD/bnG1PDHbC53RfmjpL6gM/BffPF8ZXxMqWJ5Py3J8uWhJE/Mc3NFDufme0/29UiTZuWFUMNCdNUAnnagm1SRCtB2L1ySOhfuFTwzJtNzCkLiGJmFez+G88Ha0eGW0xFHHJk2rFuL9OsZC8aj9NoZYRREPb5bO1nVARoQSIOeBYtS3wAgu66cLr/0ovR/zvib1IWu95CDDkiv+YPfS51YINQFbA10W267FNgtICtzTNWFs/folKZeuEoFYAmpDYaK3hIgsrI5HYPjL4BXhyj44hKYrMAaQMuzu8KPcEb8KMsHFy9emD72Dx9P553/vTRMGvb2wYzbIYHAPNPFXNTUezn3wTmlkDaPV6ZByMQ2mEkmHCoU5JjHPTZ99CN/T6fgscvl1M3ZHVWGgFVtFZlMEIQ9jG58rJqPGDFszCzTiTSuc8mVxYh+rCiPKhAbh5MYRSPRA/GHNUXDX408xyTLXBLZw/w8ooDWvrhRJ0UbKvI3acNi8muyzBE01meF87vht6qtpaOH+kNlgL51//33TyvvuA2rAU41ILoy9R2LFHoBYdRtbijDGYtpeBzeNDmkjEWLlnCeGLqDhkXD/exNe8eKW9NVfd3pjW94XRpmf4MeNukGsgOUnTso1CdUmjoAACAASURBVAi83KYz77pmQWKbnveQD7sFZAVH+cRjKjwDntpvkC/3gm5MXGGX9dEs1AWA/urGW9LPfn5Z+uU1V6frr78+3Xn7XcE0XSjrxyeq7ABfRRfVwbBlGNPAahrZtBEtUznts99+6TEHH5L6MFfJEq9pk57gDsA0X92FCLUUznwIpjOvfnsoro1Z3DbsDskzgOkacucLatgkXv/rFen5J52cfvdVr0ivftXvpBe+8AVxZLM73p/0whPTJ878h9Tf08cMcmfYJ7ojvlKJ8ahD0xWNbXs5LPBzyo91ofiCm2q/bnUXzE9n59EmkZagPn+BtqBXAQrFs9dmgJjt+7b8Fu+3FaY53sKv/Jp3ynJSzrdwNTdqam1THukd7ck6VIqVx+VjhkDqXNvK9bT3vvvGRjFdWAnEkYpYEnR3YZkAP5qXCuhdxVLANuCe31WOBB+P0VY59fX1pwfWrEsXX3Jp6ue4mb7enlAtdLMvQs5HpofmZLqibPbZs7lZyzibxz3o3S4HWWk9CbCGbZ9dcYP4NXRAE9j2tdPjyjAbRyY5tricLrvy1+l9Hzgj3btyVdr7MQenvQ8+ND3+uS9Ny0/maAsqXyNpwUbcrDHM6aLXveX6a9MP/vObqYNetr29Oz1w/zqU/igQcuKN6iogZcsr2lG+63HL99PPjeAP5hKgznlIMLt5Hh0ZYkf7zpAC2rFj3EzHcMbffjh99P+dGfR54+v/iM05BtO6tWtTJwA7yMxuN42kg8ZhuZUUCoCda3aC3BaNxuRWdubDxxr3xjeBxB9Hi9Aq9BvHmzCscBjoMHW+OsGiAKECOGajxc6CxvbiKtKcTkfBIO/C5cJYKyisQ8ibKrQyAFyBP8p0mtaex9CoU6jw4+jENCHfYY3gCQjDw8Ppil9elvoW7RVndC3u7wQ0u9IAeloBccMwJ96ODqZ2pNl1GzeljYwMl+y1TxrC/Ouoo45KHzzj/6Sbb7g2XXD+ebQxO2XAXp4hLzrzHvm3jcdzXLwrboKeUw9+adC4+d2eeL/LQVZCBigGmEFChzj0vtX6BEdXsEvQ6ARHYHDw22Q5/d8z/iH90+e/lF72O69KT3zm89M4SvfJrj561RLDf4yuAWHb/Ti6JYxasn4Kk5V6uSsd87SnA0jldMtNN6fFS5cwavI0T0AcsFXHWvS0RSWaL50zsdt1IRls18d2PgL0NAbNtDwTyV2RJslTb99AWrvm/jgS5DnPOzHdcduKtHLVPXEKaW1oBGHEI5qZ08B0ZpKORSf46VQV6GzcOxqeRRmRSAq92RTAEl5JhbYSkpApqIJBacc7dNw0lDxzHGI+H+anK0Cg4JWZV6mysyC705QUAbdyWf3UJpgyTKygK6WVxT2SCAclItRQh5PyNuHHJwbjSJmhzRvTIPzFx7QKawR1tLYNeasKaNYReq766U/TRpbVlhgJenptmaujp1//+tdp7QMPBDC6OKEMuKuqK3irOYvK2aqi5M+io/J7Qc9mv/PhfgcI89BJoJI9gyxtGIBoa8zkCD4eP1zm5Mub77w/vf3096Yhnl972tt42R2zmuqWxkpdMAuVRTzqba24siYngCtznDDQEODUmW65+TZ673p6/nOfk3r7+9KEEpvSbAOktlWSurqM7bli+LU9P9v7pm6YPOtqqDm8VRpVqr311lvTj394YTrgoIM4LZQ805FU8VD3tFH9oz7p4blZRVDQ0vi2p5stAAFhBu7GggEUrfmT/pTJQ/kgF3FPRCNzb9EqqoKYFMGAvUYjtBFlFYqpzU9XAIN0KWj6UCixI1DeMg3HeNSZFYWU6tUaCY6lLj2GRpOqDvgc1onlsaoT1LNWeFelDQigHEKbli5dmt79Z6dTnVlF4Miok2PCXWbrEd/tHKwoyPYBwH/y1nfT+cIDpKQt7T2rVqVrrrs2PbD63ih6njhjzwJoAlEa5MiAK8D63XkUAV5XAG1Rth3RoBHhHnPZ5SBbgILrnuMewoeS3FktAOeSn12Vfuf3/jAtf/5J6YlPPC5VehamwXEqCnSYBAxcP90Og7VzVafppFQNKXjSNdrBWOiZAIU+Nhle3NOVzj3/AiRbgLivF3bDPz18CUARU7ac0Mp1WFS837flnMCSlfSyc1eNyAjVGKZPAmg1kFO98gjbybXD5E95xjOj41iHyqOnvz8NsgPSTTffmr7xH+emww7cPy07cO908P4cJYKTeQVWj3z2vqBtfNzmHzdyJgsMLcF46IYEQ2GlmcNCTxgdQVLpQr9dZubalUB1pG2Hodkp5+ZOYptJzJMPM8GhAI9dVfxY/u2EKfVVa+g8TStjF0BGFakiUBUX6gPP+XbESF2XUTGpppJPuuG3dWsfSJ/5x4/DP4wc6eSr8KTTIyVGiXFPt95NmHaY5Y47V6TjAOce9LblsXLaxFLbSy65JI2PDHIszaHwb0fw8dRICqCN9mXe+Fe8r6qKolOXTjNpl8sx3eiKduh73Wz+85dH399dDrKSxM7OmX5dAAUV6RnuGkW/9y//Mj3jhGenY598POqBzgDY5FBfqZXKaW8DnAUpGKeEf/WsHTBVlsgqqQvwFXgOPuSQdM+KO9ITn3J8OvElL0nj+HG401bqiCGREqtDI8PrikotGGLbIJuZOZiI8Dt7VQ8q0CoZdjAU18pA/djmDRvSV84+O93Hkcy//+rfTb++9bawRezo6k03XnN9+v/+6v+kDXfcysRDOV14wXfTcccdF8xb5Le45tJs+bcom29ldCVXJZqaNICmVSqkSuNbcdfd6bDDDmMyo6FaIX/dTNLZ+tw0pOUyBaSnjV7enel2BAbNdWHYIq6Z8RTftn6fTRTjO39UC+TJrYnIU4zEECpkzLxfBx2xPI4KoQ2QbSfvnYyGqiOb009+gP0soocjo0nLA8h2slBhcHAw5ke6MTHo4xTajWs2E47OnDYnn01wsOKdd9zNSGw0HXXEEdNZtGETT1Empdgx5lraBXh8KeAUo60d0Wk60j3vbreALPXQ5NCRkuowguiFl/w8rR8cTy8/8SVpE7qDCuCK2j5V6Z092thNiCuKYQCF4FTucOwLw6B3EgIEjnp1OKSwqy77OSYlfWkpRxlfd+MNaVS9FMAe7QKQ2crBQLO5Ld7KZICk2Te9nb0av6eAymBqk5Vi7XG8d3HFE5YvT9dcfWU68xMfT11swNHJRMSaDRvTQY97QjrxBSeBkOPprpuvTh/8yFnp37/2JbaiU92Se3lHA1OMOzNzptugeYWjnnNDp3lNsAM+QGokkzTMlUys/ezHV6RTXvystAjppuYQEvqWFZG4mlcbka5IIh5m/dNMOemdn+lOw3cjO7OG3ObLHSe6zaC/qQ8BIORDsAjAyacNNqLnQ2N20KzOdJLROiq+FdeZ/qaeG7QuaGXUYF2E55IpGpHITwBYSWmVLjzCwVdRbzlN8+r4q43OvZt2s3CgJ73lTa+HhyZC8jWsTauGUfmll16Kyq2envWMp7NirC194p//NS1ewIS0C2gYcXYtWJKOPfrIdBOjrbe89W2oH5hP4azwmPxytElaxnXvfWvSbVgBjTJic/+EKpNoz11+fLRdR6SWJEvnuUyyl1oF4ynKHMXTJzdRLttu8XGKUM038lnmsea3j6T7XQ6yVcFOoJFFJCp3VRAAjUD6yw98OL3s99+YNk7AiExw2SDbQWBHqlGBTsRQCyWafvTSDbBU0V8BAMuoDboY9rbDOIcffkiYOjmseQw6zjqRKDkGkyO+xhAJELGx+G6iyuYWAFtdRW+Aaa6WKUk3cirIwhjkXdCSh3fmSib4zzn3NIiYJDBd9F8O8++6++60ibXizzj+qaE/u+zyX0Qn0o3JDIsj02TP4pA4DnrK89J3vvb5dPX1N6Xjjn1s2NGa/zJSP9kx61s6Xvp9+rVgTGPihfIFkJs2UeZN0HBFrTt9/aa705XVX6e3nXxUOrwTehBb7LAfEVjoqDYkHUx9iKitkeA0yOPRFkFjDvAmoTITd0KCFgx1RhI6mwFRZWciDefqt6gj6WxGrePcwrjyn/hsxMXVSH71q2tTd7eWJKaTyzuO4lG6FioUvy/mWOv2RpkaycVFiauBRzlN3qrvzB8zvfJ9wx/5qiKhjSIIOJG6eu2G9IMfXZiuuOLKdMONN6V1m4YYNTEBhbol7LKllcVAONDmtHDyd+7wTE+KWNRcbjWuU8+N+5iUojPERxquOsFFDbqxC0HLqMuuufWOdNTzX5E6kT7bEDzAPXoDq6FCXddTL5loQ1nbVnKxgSNC9pV1ohiaYikLl6l7Z2SIbXaHgM1+tHbK1mUZMy8STBNtHSxM2Cc97wUnp8t/9rNUZhVYCbrX8ZMB0nxXYuT5H/91fvrIWZ9mVHk4m4KNphuuuTzdeOXPOGVhL+g3Fvm3jLUqghKqDdtauyM9exI6C216WfAYdaiKJMjAJUvuhsRtxfCZbvljpmm+f+T83eUgWwJgg6nzrJUtwv/pBxf+NPUMLEkLMBPZNMaQhkYxMZ57NI31bejBn1aAjYxABWMGKSG2+qMOKrgbiXVsdCiN0cP+8R+/IS0lTs1RulnB4tD8l7+8Ml1zzTXEYSPMRv0VOHWSYVMsErAdFOARdWN6vOJ9M1ztdLUBGHWYdBGrck5Y/ox04P4HIMVnYBhmCHbZFZdhC3xJesITHm8RI28ynp2QqpQya9JHsKk97JinpG/+93npKccsiyzYaclamQ7cTLfjWbOohYKmPB2oaCaYcOvqGQh/qwdraV33/ukn9wyl8nlXpD8/9alJ83IULDF6KNFIQ4KjoTvBYjIOmW2kbdA8J4tf8iz9AkAAf1fpTYyNMsLoasBFbi/mtwC3CMPzJAswygC+z7kDJG7qPpx14L2gi5vAOH4Me87jn/509PdPTLfddltcR0fRI5Mnh71r1qwJPfOC/oF02WWX5TxF6PxHSw+zW6RfEC+nyN/42Aggo8p/whEd8sYhpyNTeubzX5Se+tSnpsMOPyKd8srXpM5el59iEYJ+KmgAX5bY0cpOwzIJab5XCA51GcXxGXzhm+XNekzhVAlUidSwPrvRdkd7V6oyy++7LgL1sIvW6NC69Il/+jyhFWAw2AJI1RrgKdpOJw9OGEtLlhxE2MibaZC2fskdaYQyi3e2rqhh/GJ5Qtganda4el0AeOGSvdKTn/Gs9MOfXJye/7ynU4/QBiEoT5ARD37rSL1HHvsUVHZPTWVGYZs3YUpJWuMAbgfzDzUwYP2a9el/vO0dWA2xHJhOqLM0ihlZe/r0J/4x9WCCaXsLXS75LjnkbQhWQfhH6Z9dDrLSRVk0atU6lLlghG9/+9vpmGOOyRImB7f1qa9U6nBIjStTsZoTFDyvFBCSTnwNH/jhO6gkY65cuZK4utInP/GJNLBwMeFUuifMTtamk1/22+lv/vbvYls28CkkICVKV1uV6VFlOkGimOAyx4VEO5Xcg7kRZGHGO1fcns78h4+l+8jjwkWLAbnutHb9umhonXQE119zbYCEUpgzvubNMuncc+GgQw5L5553Qfq/f3l6vFdClDCR7YJA4VkC46CvDkr7EABLEw+9W0dPB5JyBuhN64fTKJLmGMx96eo705d/fkd6xzMOSWhl0ZkzovDKnyKeaMPmi5/6bvNATsLZ0IUjU7a+7SCQS7gT1HJ+9NvI4dQNMhPmRZrjlZGyTJE48WgyXk3Be2Oo0IhHAO/x8ZH0P97yP9JHPvKR9IEzPhBgu2HDpuCB8797bvDVnXfeGeXOIGk8hZvKQSMPjecGzcKXhA1nRkyZSUP47xP/9Nn0lBN/J1154TfTX3/444AEvAPfbh4ZBRC6UpkVVONIbIJVmaH28BDvUQEpLRbg6lWwDZAVqJAkpFCdQlLVcRWUrX/bSafSJGFqjogAfPlyEqm0G9DHLiSW0JbwU663Z0mRMIJ0Ox2X9rOp5kiCDFCRkyTgT8EiSMt97OlBjhVvBOxJR1+0vTalYzpSR4A10nXfg+e/4KT04wt/SGzvCbtt60zayIjqf0fowCtMoHb39CIVl9MQk7ht8Ldls1XXqd9hOvyfX3FdetErXpNKCBx33HRVuuLKq9NkpTuNsnCnFsIO6YsHhLHirYHCBQ4UD1PX8Dn19Ei72eUgW7BrFJzKcMKF2mPI96v0h6c9h2GG+18KRjKGs+b4hCs1KXLZoBKUDrZtgKwx5ndhjE1cMt4JJ5yQ1q5dnxYs3Te94pWvjl50HAnnX7/0lfRHr3tDhC1j6hVKf5i7gp7KdLVfheeIMtiOm0aFRRI2lwdfgcarzHnEY49Mb33729IH/vwv0hvf+Ma0ZMmSdP+aB9LH/+7D6RVvfF06/vjjsRH+ANKDjDrCULiLoSf3o9r5Al9IhOq7hlhi24sUU8PUCsGmIAM33pN/89zo+UPuhDBjtOgxznnq7kfagXGVoOvMNnfit0QjqGByME6cJYa6P0BHfurjDkmuzuwjflb6Av4CRgaCCaSq0BPSOP/t3/89XX7lNTROdG+UUyC0Qxl34gO6tgMy1VEUH3Zi0VKsP0c1ua7NsnXurPexRz8uvffd78TKwdiyFNchukM749UVapZo1DyPM2y2QxoDcLOKgJGNVhcMY7XeGGUDagEtjr22fu0C4sqt16AVV/mreM9jOIAqhtR0ZqZbYXLo9ntXp7M++Zn0oY99PPX81Rnpj15wbPrMudfAyszC95IedVKF1tJ4Eol7YoxJB+Ke4L1AFuZz5EfTOcsd4gNJC052ivyPdxr310yfPPkbVxIWjKFpAC9CiOZ4A5gpKkUKgkq6Ze1jJRZpWG5n9SeIRwmzTZ4wDgttxx//Mgksr+0nSGImGk5rHucTalS4wo1bHR148GHpgbVfAwzl6wjh8CPr+QkXi2bIm5PSFdplO8vDR+CvMvmbBKgnEZomKW83+yIs3Hv/UDsMrFlNJ3JjMJCCa0XhquFskVa/KTW7RsqNVw0GafbwCLufLtFuyph6JXs1h3ahUwNYFy/uRVlOZQQf0KhlDBgmm2xl8LNXL8ssgkkDSMpUWBuKeplAdcDixUvTKYCtQ8aB3s70cxT6z3nu8+GIrGusKhnLODBhmXdDNATzUICs6ongxUjHyrVnlQMfXEWqv9RkxgQe97jHpf0OPTjdcsstWAz0BdC+6X++I33nu99OlzOsrTDc7EB6WIwp2ihAaGdQiSW1Hg+ClEJD/+klv0gved4JThzbloIDI2dkUdKFK25oOTH8VtqYbM8ADdNr1eEGTDJqeeO69IQl+6d7B9elxx95YOobLKeLfnhBOuzkFwCS0Ax/Fj/vHUEjp6Er70xAxx9d9NP0i6uuTz0Ll0Ij6rRhoucQb3Rwc1p55y3pqU98Ag2STswmCdAoqtmgC+ca+qHBDek//vNbYSZ0+p++Pe27N7tH0VBVC6jaUReqfj54RUmO+DqRslfecUca3bwprdBIns51/fr1rPRbS54n0roH7o+rQ+UYGVF/8o9JC1zN16hwXppm1Dh8FyAIfWtkthPAlk/+9UtfTc8/6YWpq28BwJF5Uj7avHlzAJ36zjo0oMZhUeVzwBk+nqAzAGH4n9Upk6Rj/IVrp27NWfEveJ68Smn5Wq+a243XRuAP6sRl5Niz1siXKgk5W2FD9Vp0NgRwLwLvBXStRDjiK/qSqPVoP7Yh8mHl4qgVUptWKdgeVNm5+Zd6ZevBRQk1Os5u1DArV9+fHveYvSnvENKomn7ySV4ifeIUZKtc1eOXBVr4pZMOgZ4gDSM48Eg4NrrhnZK1qdtBdRKm5ObhjmZZIqytr5TK1I6sBuh6V1CwiZ2yh6m/RagH13anovkN3OxykJ0igtwy9cAmw+hgZSJ/vUhuk5NDYQsryWPihUoOvWyjkMgIuaHGcyZcBS4og2ELFw6ExCG4fhTpcNnjjmWz4cHkphZ/9IY3RQMNicI8wACdSIajo8Ox4qpKo4xs0RAd7lp7UYH8qcltDVTQzjTUCTtxVd/WzpCtZhqUUz3iD390YayeeWDtmrRx1eq010H7p3JP7ihsfEomYSQeyA/J6Ei0X13KngyfZv/QU048gUZM04IE2jdG59NgRSXJ6IRkRRhcCXMzf+o0UiweAzTcJ6KDlXNttP0/fd1vpXUoYT/0qf9M+5T3Tb//suPTXvBmF0wOZjBUJRquVdUXNIgQlOg0qtCEaNLTlj87LT7gEFQHxAfQCuqug9+8fk36BY3zZae+Ohpcje82OukqOaUFTZr6nUz3rrg1hMwrrr4uveS3fjt95Uv/yiTmoXQqNEKc0k3o5rknenT3i9I7/+y96TPn/DP7PbwwXfD9nzBq2YTEiISHJNzJBOoll16W3vb2t9CZkCKdKe3YmPxD2nGJOjc/kSf+ePVb8IB5pRw20wfYh1Wg+NwXv5z+9mP/CPrQiaDn/8S3L09v+60npQ/+y3+nn111Zbr1lptiVZWdauxqRV3aIVmNpizwTUmwPBcu66FzO4j2QJ16NYxXiW6n1s5ilZGh4bQAW3Anuaoswlmx4l5wC6AF7Nsgkqv1sqNdUOdtFEb+C+EkSkx8ITAoXeMz8kidNEI1X4yrRtp26HXK1A5fmtd999s/XXfddYDsiYQjbhETqimRq85oB/w7sK/V+kB9unMSQG10tp0AtfuNqDrsRkW1aRjVCh3mIPa34ClxNDoME5UCUSmZfqYiTR6NrqiVXZ93GYYKVgKzgl1i2gPYDQIGEs8KUIfkMMPeXKY0SKkxfMiMUJA5X11J1cO2bhuwOT388MNDonnr6e9OPd192M/W0oU//lGAlno8zzeqMnSpwHxDI0pJzIjG8E7m2LL4hYogUiEPXgUHG/vOXVVHcEAdq9o0v9I985lPTyc+//mpt6c//fd//3e66upfphNYkPBf3/0OnU13up8zlybJp0wuw44rISL7789Q7YJvfpXh9VBagjmOwOHQWGnemJ24cMObwFnyKoOqRxxEFfDxT/1T+svXvyEsMkos1VXe6qIF7o8OcREc8HvLj00/veaG1Pacw1M/8S4wbtQoNXRkIZ0odRhnozkqVTp87O5mpyetQuouZGC6jHw7GVJhPwpsglIfe5mOI6lpLiSomrfcbmieEL0dZliweF/K2Z/e8CdvTjfecF165e+/Lu134H4s/xwK6biNeJTqTdO8jKH/jNVM7QvSpVfdxLss9VnHdspVAKHEgpb/+v5F6YKLTkadwLC9yTVLkcV9gB/M5tX8xZXMCpKdpDmMmubEk16K+XZfWreZSUL89kO7l7/pXel9f/Ky9NFPfS699y2viRGKHaS8rGQvLcxfs3PydaYLMG28FNqLfCFngF/EAf+MINHbNVkvLhypMyH62j95O/VIHivS0wU7BBDs+DliVEoUrwTlCAs/2PEj31JO4rPM+PGnLlbzyWIvAmndRnxOHmd5Eqme9rrPPvulFbfdHjyn9Y5llBmlfdGOrBFHolpajGEmWBogHmgy5sQ2fOpihjbUSN29ChR2/vA7E7NldM0BEOSQKMKJAbyMx9z15PePpr+7HGRlWp3gKtNEI/MK9ayIHrZqUyKzMh1+CapUV6ooSuFsmFs6qZ9roA3GcOtATXWu/cUv0j6HHp6++c1vBtiUa2MhyS476gnRQN2kxoaqxKO0qMRh+lZw9JKNjObqVEKUaXyS6UnSPPO8U1dKW3EWnrI4A+7uV1dccUW6/777UAlk4Ohmsu4Ln/1s6l20MBpkD5KKDbOfBQJjdEDmVf3K4r33xaB8LN12x51pyZOODloJXP4TGgIoSKdOR2a5tMBxldA9G4cAunJ6//v/d/r6P5+dHvvUo9I/MAn31Mc/mWEk4uxEOZ103JHp+xf/EusOJB+Sm0BX2wHAa30RS5ztIKi8mJnPXE9ZaL005rIKXJZBj9kxUJcd9ERjDOOjE6Uj7epgYx+AVqnIUyaCzOSzBHi4xn6Ymfme3gXszDfAopTnpW+f+710yFFPCsldIcn9Uzv4CQh2VupbaZ9UxmTqg1a6HjbdscydNF51kdaz/rJaKDOQ98UvaMWzkr821wU/OZRXWpMfdZQurCSUxCeYeFq7aTj0422YDl7ykwvTvXfcnNYx/F1MuhNMeEWHRBj5xVQhf9zzN/JvnA028zZc8BZ3DbIWAeKb9FZK1LRpgg7U87QcVfi60tEHXRgFMjMvXYJXoYEJGsq8COdKiOYjADUS4wGeLoC9uPJyyilMKAHX4UOoRNuE/o0y9DGppRWPIxwSgXSmxld0z9Hh0X7taOxA5d2XMel87JGHp6987hzyWUYQWgvN8wReGz2A8ducx+GHLm3QJFysppjKDjd2DE1OaXyLF03fHoG3uxxkC1rYCKL2G0SwcjWjUjJUagvpAW7QX9xDyGCMIoKZxAtJwxVhnQFgz3nJKWGuNUKEL3nxKQyjxsLIWntYh84Nbo8e3skumTAaYcHdjXQErXC8919sGC448NovO3M1hOmMIH31YlHgJMpjjzoyPQ898QNMZH0OcD2Fg+rejoH333/072FmgKG6PibkNOZ2R/w2GvckjHzQwYcmdpZJt9x+Rzp62aFsqEyDQw0hvexAOgGXTDeLSqNGktFG8ntIyzdd+6t06Ve/CicPof/9efrbM85Ir3nF77IRCJND3b1p5QQWB+Pl9IUvX5j+7KXHp8fuhWWAR5kQh41AQI1jeIw36ifre21EoZPjnSMKJfAKtOq0Y6DRLOREVOalaTN0hrwXurQbVdJqqyGZ0hAHuzH5ouNboG4XelXbmdDp3TuNltmZn6EkiIm6A7tPfmX0yRMAiqucYtKSGXYtEmq8b6d3qIO+LrZoI313YZN/nGwJupCuky91rj4r0QmyyodefUdfBj/mkYHPcRhhG/oU3tFFMlMOmNIpT2KT645WJzz9aakf4UDnCa8l9Z12RvzjgTjjIgWbWT/8S4uAJ7yCT5QjXoe+UrAyrB6c16B6uwAAIABJREFUgBvHQxf1pMmTHYh527BhfYzYNm7cmA5csh9ecxvKnWHmuw5o3kGegvIN/a3qJCczhU+dOlcRE/ahysbTACDqkurx4c1p4dJ9GA3hl05nKeeCrWHLw3333jvde/cKSRIma2QVgEVlQUc4huDQS312AbJt8LruiU98UlrB4qCPfewf0ve+d35MxrUjWCh8uI2nm0TZPFUbSP8So0vbjO1M50U9u3xGxnkBjugMpJvRfhtv+ZD9NaIJrw/Xn10Osg2S5PJRwUqpMrYSokMMlflKXDKOvymQpXIDQILbZiMPAEQczkLbAFesWAGjVNI73vPnwXyTo5tTP3sBCFwxZIORlUTdQ0H9YpGWEtEWzoYiwFuhhQtkleOpMhh3zlfCO1wNCRoxUeYZWLAg7bf/vmnZEUdE7N/42r/F8NLJMPPWiTpDacwZfSU051g6MW8ZGdnAMPqQdPc997LHQQZs7SsLp/wiqGhDG6BhQyKrF2AFQIY5obScNjKZVOmtpDX3r0lf//LX0j1sJ3kdQ7+xvn3Ss1//5+libJdfdtQ+6aD+w2jUpA1zdyDR6GRe44176sS4zacgV0XFY12pFOggD510EFoYuNN+G3mPGXWC2qGWUFOAc0FfY2a0SGPL0o+2BSX8u4NaHbC1QdVofIJsbPZDGbxvM0+Es7615XUyU3CxXn1W52daOdcZ4My/IB7l4F4ljKZwSqmWK6CIcskNtl/VVU56Gs8E92N0WLpugFYB/47bbksbV65Iv778kvTyk1+IDhm1CfpRU1Hwj70DIgTF4Gro4urrTFVpmgEWLDXb0JE0TQsiqQIICwKH1IQOoYNPSpJdgOFGRgzyjXylHth2IOioRrKkSqMVylhxeG7nSHxmxMU8E4xiskqBhKGf36XhKIVT+Nhn76VM+I0x0qQjpUBjbMG516KBVB1cmH7yPfXP5JswTlh1sxRc3r2PEZqn47o37QL2njXOfo6+0brgHqwzlh15NIOervS9S35JGx2AxlpBZIsi1edj8FsvdWwe5XuKZS0FDeIlxHJyMQOuRCyoKEUfuW6Xg6xFD36HWM1OhlG35sy1a+plNn363qsg6H0zGW3YhVOZrsTgoEhVwz0rbks97Ob+4Q9/mAaODnFiOK3nyI0jj3ochtuYKtE4TMuhjBJlAIZp5cyZIvW4ZXqmFYzp1fzbGezMlXBKWDluTamQgK74Zfr1jTfClMRHGRcuXJi++a1vcl0QeesB3NRzOQS0katDHmeSbgHgvOyxR6XLr7o63brinrTvXgMwsCco6EgBNPBnhyJIQD1kSCQQ7l796lelNcufGRYY/Zwe8azlz06dSHg3ko87Pv2ZYNajDsM8514mUmioFSYuxmhobdh+GlcmE9SGfhmqpJMmdwCpEoj15DeY3qH8GHkgF9mgnaudqfaP1mVJnSlxhnf9AHdoD0N6sjB52CvwAKzEJ4A4093hD/HJq4bySn7xjrQEE43v24nYNuqMukA+gYSmyoHUYngrfdy3QV4rOvWMnYAr5dVwHlk3yiwAGG7cq2BH3C4MmMB+CXU/+aeEmGkswBxp3X33pNe/5vfwhjRN3SlxkwS/3BlJjZByY3RmfqadtA0zMQHSeCUM/w2b1RtMQtq5IQxIi3XrNqSzzjorffO/vplW3H1fesXr/pS84JufUiUZCPrSbxEd+aYCFVZVhfjsngUe5R2So8gGTca4ttfpItGlj7IVohYimhIK5CMjrDbjFITLLrkoRhyHHHJwTFp/8G/+Pr3n3aenhf0dacPmsfQDpNRPfurT6eQ/OI25FiaXqQdz0DOwIHaW24DN8P777seez33w9HXwDYsToHkn9bwQi4UqqN2PDTcoSjDkcuoa7o96ygtS6LnoDOwnwhF/TZWfSByu+JCfcu01Pj3Ml90CsrOVUabtVEcKIe2tZXIbZrQ+AmSQtR/jFb989W92NF1ZiJlVJoiI5xhW4Lz1LW9LYzCkCxlKmLx8jx25rMhf/PzS9LyTXoiEgUTCBInnG8Xyx4jK5tBw5Ck4PFLzXa44edz7nb0aygYkyAoIFYZJxx33tHTqb7+cdwASDcvtH+/HyuDsz3w6gMVGIdssYAf6IW2tALIeDrWrs+RRM7CzP/TX6dKffD995qyPpJe/7OTcKE0BgLCsdkyWTenOBrzm3nvSUhj7MU96Ulg3OHRXAq0ND4XOzJ2XJpBs1AH39XPQHsNKh6Xaf+ZGTsnJu3GFIx3vpX03HUEPPzeHdnbZoa15HwXw1G36i71/Sc8aBOpsGUEPN/0RDVTd1EwT06QqCyOqqClQNUYjjU19BFXyIpCqIhB8lZ7V/apmcvOTfKW7BWXclUqANe8hlkoX/oW0yjvBq6BVAbT5mnnOYIa1k8pA6+iHBk6cwZ/ct9kJkp8F6JPVtXcz8x/7ZNiBAFCCtc56j4CNJ4fqWzn8ZqP+SAAaQh/KlIFZ2ucm6mKbT3/67PRf//Ud7MBfmT71yU+yLP1Dsgc/uAmaaJNsGgovqpuUvjtRM0DAdD8bEX32i/+mqUjUPwJk8GYnUqan2E5U705XXHNjWojN7yoW8AyiElnavzBoZb2tv+/edB/vL//ZJem97/2L9IMffI/FCS+JNMexh16GeeLJp7wU08me1I/lQH1kY/C3etdYuIKw4Ao0F1YoBMmDChAVGpUmf6qerJtgLjtkymXNqZeQijU6KDuRgsdDACvwdSuiPrJe7HKQhS7ZyXi0ziypwjzcu3cAA0vASzCFsaQmLSSYHjaz4Qa7816AE5j0432GIgAVppTwApbh1MF5lI3O4UrY3DVmqG1o7YICwCfz5u9bMn40DBPAabZFLFb1g3JCtOcs1dVPUd5ovDYqGGpKV8iz+VYvKaMpHfYxa69E18vkTZ18xuw6HYPmM91LlqYDHrN/mMIYX86dKaleERp0UI2adZnnJqSWDnS5TrBJo1EAwobY08cwDgPKKgDnbwnryzsGkFx5V6oQFxJm7P1LGhJcnAmQUb0CXQWyHvLUg51X1cTC8Z5vI4wsqqSjjawrypSWpKt7Amsbq1QGFFG/LL8F0P2NsvSy5uwya/I7Sd9Zc9VI0k+1gCoIgaOLuvUkB0HOZwElQBjp0bRNR/xWag0DeNPjnauWotFGeaR5ro9sH2vjbfCd2bNOCOVMu2Wuq2+lkQto2oMqQblseLKrkgYGBjikkJGRvNrgG9UQChGho5Yv5Vv+zerkZdKxjm0buePNe7wqFf/4hz9IX/ziF9Ott92SXsUim3/5p3OCV8rQGBJE56PdcA16uTrMWlLvHcvGoZ+KgxLzFnsdcGj63L9+PtRn7iMwyeRddLaMy92f2YknR08Mm9L//LP3MEzADpf3HQzvLevKu2/Hlpml6mw430+Zf/vUV6ZX/t4fxOKTCugHpKevfu0bSMns7wy9OpmD6CA+qkScjP4uzgQjj6ozuqlH678Neu6Pntfl1TXq0w4tRj7EGOBMRZA1hVjoRPGIUGz11no2/uxyKy2orDLxkeKK1rFr8yNFppywmRuj+hslWZfxyWiCQzEciGd6aJ1LZ52wEGA1VbLxOZT2ZFraYzCLG2Cfc845mTl4p+T3wH33p8OWLWOIREOkUh0aTjgLzr26pACp2erChGgw+SKQmR5XGtrOXLNul/wHJ1BuyqiN4caNG2IyLOxhSWoztpg2MJ8FChuPKhBgDsBTR+twuY0licOsAhuhPGSPuJTYaw75pI3SjKMCaUhcvGUV0jjmR4AspmHdTDDYqLqJmyYMgzJZgc5XLlX66qPhqLqwkTvGdp15Gw3XdAR6iaGOkBe5jgRK0nGrSfWb1p0twbTtLKTtyPhYbJ4OLEtBGp/R4Js6jCW3xOnG7W4WNEonEwSnHEp27Uy+CIvuwC+o2pDtgLxXmvW9w2e31RNklbxNI6CUtMHMAL3gI9L3WnRyoVohboFWPb1+/Z41OEKx7zPoxqjA8kFzdynTKqWDsltPXUh9zvi7aESeVJr0eHfrS4uSNvjMNHTGJ21mc3awz33uc0OnKf3db+OGG25Iv0I19L//7xnpTW98A3a/bw2hIxap4MdRgv70T1aibqSR+YzOjIR60MVaZv0Msn/x7bffjo0vm8BQT509nKnHfQzF8UsTC9rWWEG3aZP8SDmg92bA/8jHLkvv/bN3pLvvXZm+8JWvZ5Ub5XLRQReqJUchbgoUy3B7OpnkJV3AWjBXLx+qDtJwQkzgNr/tLCdshx52UjdfyzLbl/42G8nslw7Ya6+0N6C7kF8/qoa9mXw7cP/9uS5hlVsndU5EhPfQ0U7yJ5/L8zPd7JSe6Wv3PO9ykIW3rPdZnZUvE+YZ68z0Dk1lUBums9A6XgUTgCU4e01wgG+CoLPZNmrPIXr3u96DpMZQEz1oOxMsX/3Kl5kcGGIvg0WhY3JzFnWkoSqwpsNtXUGND3ExDVKnXgX5nb+qE5SpbZyW1yW06kg7MW8ag8nttce5/uX/+osojxubxBCUCTsUybEsUX2yw+A6YCkCdzMkU7+r2YydgbPFMZYiszW6fbsxSzVII3Q23L0SugDZNlBEu081oRM0ik4YfJgoqqyuGegdYIcnbBiRHBVbu5BkxtFlg3b4Ry8owDYqUrCQLtpluulMhfCmaDY0UxMk1QE6NJykc1IPaB5DwrNx2kpw1vMIHZe2tB4vpF7RjgUxLBqwNsAIN9BPna1qAUcGgCs9q40NrIWmdC4Ok2EO49fSIia0IEAs1pA+MCFZ4T1pm0kKEhNbUwDrs7WsH8B9yp+1DnQbL/XXpkRu2Uk8Nj/na1UaMFLwOJ/gWbJfAGqNTkZVGNFt0+lXsDReeUNQvOiii4IHrMfDjzgqPf2E56QRzuBylaR0VjUxobRInRrOzobSRrrSQQkxpEtoNcby4m74aGzTmvSWP/xdCkgpCeNoJoho5vzZA8JTlR5GJvTiC+l/tdDZa8miMIW8/babEVDowqQl3p2Y6mAV4jAqrc7OXkCPlWjwuZ2PHd8YphlOaHbLH9RJB3lRT9yGMl3+cBSrfD/Ot859DkjPOOmUkJTXc9bfPbetTet/dQ9xjKQaKwKHWZk4grXDKDToR6VVx2LoV1ddEfUlJ+UaJUPhMm/l2vRF8Zy/Phx/dznIbqtQsoX7Eih/2YCtPH/UE1ffQp7GewllU6ducf6levgm6KoH1GmK4uYcDo0EIIFBBlyyaFHolzwBQFMYJYCIj2+mV7hcUcVT01U0wUXa3O/UlXACawwbYT6HnzYIF1E4A+viC7oKGg9nKhk3hZ5EwuztzkNih3QyqfSRId0D1pxIn49/8lPpanYX+8Bf/zU0yMBiu5lENaHkXmd2Zhy7Wq03PEJE6V07xW4IPIYhe4WGIEo5AQKKxDJkF0PQPKEdagUmQBiQRnt02D2BRBMTXNCtA+lE2ip528G5BFLAFCBsgIKv3wU1gdZdxdpIIzpJRwSkkus7+7HSJwDbOkgnyNlQc2MlfYqsrlXJVgnRuMtE5Moyt8GUXwQVQcOwES+ZIDeRH+sup+W3TLuw18WveCv7yFlyEVgaAJv98+x7/UQ46oG86H+EEcI4vaerl7THdZ/esAiwdsK/cVmf5AN+k8u356ybBzg/68gjjwzela7f//73kWw5U4uAnhareZW8Y5swzg7SVqqNBQNIrNIuSkEAeU6aaPrUx2jFtjMAT72MU5G1XtGsMToNQmhK5ZL0GvR9wjHHgtXj6bwLfpD6UAOhDUlr122OdNev35jWrFsfxehAAFB9Yt1qbeFeGsHX5M9JSQTMmOByCbRgry5dQva6eMVjxOn4e7A+CBWZdrfQtH/xPmnxvodQTuqIEVobumJPde4E6AVpd+x3BFTn+VoW8NjBFm5r6pJe1Gjh4+G9NmV112REpgseK0CNqyRQJ9uFmKJCuwSQVGEc+B7GhPlpJHlWX/IJx7pC/iE0YdhrmIqmV6dClHZ+ddVV6W/O+CDeGQYxGdHDS099PeCAg5gc0Vg87wml+YdnbTnMFrjQOEy5IqvxIjIevBGPMpGNT8aQib36bruO7NM+Q9JSwjTMzy+5ON184w00Zpo2CUaDRkqahHm64Oro7QGM3k4kKCQ8m6hOE5kKhudx3AjD9zJG/j+65GfpfdBB3ZcAt2rVqnTcU57GZAe9PXRTT7h+/QOhO+2jYUhzN3lRAppkSSsDPBYkOBFRRQ+sZNKWXvvHf5JK61bFyq8adKzD3AJn6JYp/83svWBdEVluzAIi4G9n56Y2tIw0xtSy9B6Fzk5E1tDL0oajrIjLAcA2OjsdzZHUx41zlRZK0cA2oxEnRAFUACg6CIDdCS47JiUl1RS5AZsmQI62QRoEwQMtaZASH8dbfgJmA1i5mpQSa57c4tl/jTwW+ll1h4JsEY/5U5tMygC9+emIE1/H2BdYdZbcAIlDipc+OjubmS7K2fRSgBVYzb8mWYLnF77whXTHHXelJz/lKQG8alfV0eaJNeoRYHcY3oUUX6GO+Iq+GspBc/dI7laFQT5d8OHCD0+lXXbwgaRqOVFlwHx2ZI7qVt69Ajq3pcMOZtMWJpI7KxfHakztWF2dteL229Nnv/T1tGnj5nTYUUdHmdTftiHZItOj0qKc8JKdqCodzf7CtJI6cvm81aIapYeJQluhYbUo6QjTMuuZPTsWL6EtGpHqBSRcaFAp95LXnpjodN7ACdEKEvyCxdoFU6f8gUW2cLlVW0xRBjfje365e//ucpAtijOTsZRmwqCcoUk2DRJYlYBkgiwJ0ZKbiNWQZKPhCLKArjaODodBpmc+/fj0/v/9AWhLBQKC45idfOOrX2MehdbH96gkhjVOxrgxeBcrlQTjwgkkMomV11wvERcVXjQWG7xlkUF9N7NcRXzFdQywcerDbUC6YK5TTjklveF1r40hp9xnee/DuuAv3vsuJAAaKkV2Jl19mhuTaAkRmzAjWWxgUoEEY+i/dEFvuueO2xoAAvjDhOapb6A/PYuVUxWGiEo8557/HTiciZqgrZ0aQAOD2yhN35E2UdteQyo9/pnPTl3D61Iv8VWQJASLYHgklgsvvBAwE0wzDQSGbkzOsulSbgTuxD9EBydtBE+gMwDIhRV5xZwSnmBIo+RiHgVor9a3HY9gKm/Y6GJSi/pUraIUm9UGjADIuDbBlsE6UIrXMoNLo05sZEizps93cddr8Ry2u7zMAJp5zvzhJfs3jP6JM8LLk/yLe/NJ+VQD2elpxjbM5BAfpSr5wh9XgSWrv3yadgUvFW8e85jHkE4t7bffflk6pR5f/vKXpx//+KJQedg5C7KxdJrjmASSmGQDTOUXgcZFGNJIJx97r7olty1AlXdu6WmnCdXJK/9JMxNGCxj8SiQIaf5ilEXE7qOrTl9hqHdgEWBcQVfKPgpYH7jZkHUYu7TRFq2fbNbnLs+MNqwzeAUv4WxL0kaJtNP64+dWn6QMqMOvpOvKQDt0J1TdQFxpWV23QorhyggkLmbQ4T3KId8EA8TbR96fXQ+yud6DGFZewW4CgkPNEruku9O6K6t08olDL78XEkT+QOVHYCNUOiIcd/bIzvauuvfu9KMf/oAd5AEBKtPTEu68/Y503DP2Dz2tM/rOoJpmHT/DTCDZmGOiJBIoWCHn0MGXrpBYzY/3Ngbvoyww7Y6cQ/UqurlJen3DutH0+eefDyNlyZio0vq1eW9Zl6Lqx402XEShyZdDdB2+A3htPB5wp/rjnnvuSZ/97OeDyd2EZoj1/oZ3AstTaMtICMajVKl0I10EGXVuNtUqijWHjZbLsM7yL8Qe19WqXejD3H7bJZC2ZPXmRJG+9MUvIP2V02233JxOevFvRZ6UuOvE6WkV7ooWDYt8CM7sxx4g6/AyN+KGJCtQAWDusqXN8BgSrLakglgZgFWNYZqqCqSR9DL/Su1uqScI21Fru2qZwXOfQrqxIxGyMyDyVnDZ6pe/Sw+/Beg27uOZOHXG7bOdQgbh6biCz+BdF7386rprMbH6dORRA/sRTNH8/pnPfCadffbZEddsf+xc9Cf95U1VXfKXdevOYgOstLJ+SqiO8qQv5bWtAKDmze0xVQmZf+ku3tj3GGes1BM4ATYtN7SWiY2ObEiOFhs0KfIlLawD96stted6MO2DDz44nf2ps4kGNRL84ikU1B71JDzKm5mW1pGTkna+AqJtxHtHp4Kgk2CCtKOdLkY7YZNtnqqjaRFDKY8hj7P7iK9EhUb+lGxJoOSRCcTZzj4ZvTBokW7cEL3OzmcLR9xBkC1e7v6HXQ+yW5XJppGdjCCzOCRUkR7vYYAwRRJcMp9HLxyHAGYPeMzqAj1UMQ5fDDDcdvNN6exP/2PqsrelstuY3RxBJ3n88mdhgsIkEQylSZLWBbKGfmSqZldIs83vvM+AT89MfgUsw9o45gK0Ao0bigjyhr3uumvS/atXRsMxXhlumJlfJTQli70YNtkGojMwr4QN5ievAxxNIyh22MuTF9UDf/X+90UcShGCrzq2hazMGYuNsOm84E0bRd2hvDEB0pY6gIkGZDwYTwGmbtyBdE96Tnr1MLlUQSp1iOaQz71tnXg544wz0ubBYWx4a+md72WCkboDWmlIUhVQpG6MU3rbQKuCAaAcR4zQeViaGK3Ycmg0BYgFkJC24QwvjQVZZ7hVCzRLsd5bCv0aPv+IzmfAJr9vfGvUceGXUHwnF4TzGsAp4DTi09/0z9xCK/w5Y29+rSPvDWsepdkwkzPuSbHynlURrx2KA/iggz3TDpx8IbjaycoTApOWMuOMwl7w4hcF3xSSrBQMwBcIqUjT8OdJBcFPpGVHHNsiAnhumOMz1OBLzgs5585ag8ZEEq2AetJZdif1Ik7K14udrUBegX+t64W9S+iM6zEKdGNw/VvzscqM+hN8Na+LHbigl5JqYKx8xeisAx0xVYqkqpWBE2OoNOCLhQXIklfLpxQ8lR9yKB/bKbsgZQABI/IcPvKfrQA2AvNHNH6Y3W4EWYmWSQOtAqBkUht9rFJqEDWAACILYLJ+vhISHaL0CjMqqpLOOQjYy/B4eGQwvRhm/MjH/l824OeTG8x86YtfZoaSfQMAJxtxG1KQLmxkiS0atuMtnDnL9cHf6YdgXP3ZKAU+GU2A9blg6ohgG38sm43TjZwt76te9Sr2Kngz5WpIsiR2+223hHWB8WtW44YceWd7OgWkS9OxvMwJILm51LUSm+Lo/0UvfAnmWU6ujbEaaB3S+13RSDX4DtpBR4//qDCR4PA1QEiIolFaDhuJjdzOwF7f3cEWIAGzjxn6PXSyJOz2iOoKXXX23Oc8ixxz+N7lVwXYuCNUlfrSfMrhqFfzpQs6MZ7U7M3mrWBhcydLrALCP4ygTtC8mEZ0WoBSXnAAa9KIVRe4+CBMtegopOFU3NQBFRFlIOkZ1wIswzvpCzM5rQJEp1UBVrmgLH3yLwOwjJDjJXKrkQcy33gnLxQ8sT9mRic881lRhgAveifpKuhsz5kX47jgggvCm6AtwGmSeMMNv05/97GPRjxuCzllvki95QaQJXxBVLB02E4BIp7ov31nh2TbAunMepQdH7F/BJKpE2bWik4hQ8AU5JQypbW8p4rI0dEYqraYVIbmC1UZ0DHYaqy3imEIKoA6QjRJ34eeGMqbH0cgocuFp7wXiHuYjO1jrmEJ25W6qb4qA/PjXIvg7HJhdchMbERd83ZKkjXPW7pcjngns2VSbOnlYXjaLSBbNADpJ596tfKshAAQ7v3nc+4BZRg8CbZBFEI1iF4whDPoxlbFdlRdp3vJXnzxxdSwM/MAGKBzx523p8OOfHyYb7mb0xhgqQlXDbHZBiUz54mPbVNeMJXZCnA1j4KuYWVYn7fn9KseynIqeqxevTpdeeWVYgPZZxIK4Lh/9X1srsHOV4BKXz9HdxBnP7Ougy5txExGFzaLzAprFuOQWaZX4jmIQyM1o3ILPCWhe+66l28DpJcXMUQZBVNAfhyuU1Xg5Il0dDLNxureozZAgfYAdjTrmxwEZBnalWB6N6kh78ajWuagA/ZnKN+Rrr7uxsintHHnr2hYFEpVh/6lm41TiW6SNGIik/IqHRMwdMQOKQUiwTg6E2rbcKHrJL2SIEtc6vniR+O1EUufov1YB4bhfwNATLtxH9+yT82wsl+B1h9x8I4s4Xj271Rc+lWKNW7bth2I6pKGFI4/8yA4Shd5Qzq43ablUV3gxKJO3NueMx5/xhNABnAZr3mRd9TRWC9KsurPFTW087XepJu0CjDklVddxMd7ddqqw9zwJdqSdKMc+KBQ3Au8Vrz3XC2jfGEbdETk6QhKj9anaeU9oPOkpnnqIp+wU6QHWgcdzI/27yUyK13U6ZJVcx3+XBxUlNkyunxX+2Pppk04hWjQnGfbKBNyOXQjHWuFcDovFCmcl61I3fiWfTx8f3cLyFo8CVuQoSi7xGr+ZTI03sUDLCJDBTT7QmTKTqlO0Uj7T4dVgqxDtiElMuLV9Onee+9lA+8nh85PXtKG0w1b7Bj7mYG3YuW3mU6/Mlt2ubHYg8v8AQICAOUpwKThcdZLgDMAF2nhYxV5uvSnl0yFn+BomMFNm6NBKcGFgTiNX+YaaGc5rZm1kZMdmdc8NKcryFogdZQadl9z9bVx1axG9UIs+KCckgX5O8yp8iBYCQUItCHDBU4IjuOvf1F/WkjZe9rQydJQ0FgwVGP/BPJp2urntIdchGmc8dj4tDm1O9SUzNlsaVRIVPk7HZJWBbQCP0naSRp+gFy84D3FrCPdAmuAvkNxpBmkHdUVMWNNfQqw+Iz/3umyvauh5C6HugAn6cSVG2OUxyJLeFItEs/mHr/WbjwTJvNiBpyi8y2kXdPSZT+5OVu3nivXz2kJSqAHHnhgfFcKCzM5+KSgQw699V/jk0bq2I1DvpLOvpOOXjWfcxWVO5lJafWvBchqwiVvKJkq0eqMUx4RsHigo+JRzz/cAAAgAElEQVS7YSZjYB88rx9BjFARJuvM6VDJu/cVLHKA/gBWJVSH+TluBQOkXJ5djhsIGh/kE9PxR9ykZ1kM6+jGCnYJdRXdalEuaWtHqu54iJ3qhmC2EiMu/gQ/qabYjPBhOw/8wL/8IDCHM7HcWPNj1HamgZ2K4R4JbreArPgK3aect1ayxHYIC6khPq0Z57DH9zKJK73iHX+cFZWmsBik5G9DUqgyQaNkdviyI9I7Tz89jKM1dNa64Kv/9o1I58QTTwJEaORIYMHASLKCnnkgwUhje3/cA1MQX7ZsWXhT6lA/6RB6R85GEswGI5mep5y+9c2nTQUTHO9YcXu6+qorOcoE6wGc8Rsu84/UoX3wbN41P5tg+O/JDjZKpacx7mVkJVtpJwC6ubXfbWuWdYKJDFnOrfxcb6Xu1Dils1YddiJKQm5TuLSPlUxpkPZDWvRmsZoHCdv0DzvssNB1q1/TCdLudVpzYoJGp0mPedAZXzRiW58ZoaG5KbvlcicogUM/Sj8BCjQKvWn/6mhE6Vj7WIecISmTT+2hlSil5fRPYOSdEhnUyvckpz/Syv6Kq+H0xz/9Gw42mI4r35v/AHD86VSbiMj6M15CRd6lySDv5AU7oEgTf2UmdqLuc/AMEhFT/mM8zU6/Aq2TaH6LuqA+vZfG7pcQnWOombhrSLJFPAFCRmje+GWXh90CXUisjbeho7X9SG/iK3SmfjYe/Ua9QR9tvE1DCTTeA+SeJmuepEFMwhmQjt4yBD/Y1og3LF70xTfzJB/G2Ib4JrQ8gR88Zt1Vf4MsfKljTVBiJZh+6nwveEJMsMZs/662G8XcTweMx5VCc/UH8+Ck7ByadfjdHX92PchadmiRmSAzlqRRF+fG1WjUQ9LMFWajxy/erKxMNIcxkJCXktDq12knG1f8OaxeuXJ1+ta3vh1r9WPDaCShW267NR287JioYM+nMvVgWBsMDBQMReUYVcGWxmn6Ns64p7bcFNxf4WQmh05ed+Ss7Nj0gxuZRuuC7373u1F+JSF1rGvuR10AyLkMVTp43IhnntmqY1cmntVNCVKm6c9VQgL9ueeeG5KeIOveonYwmlWpVghbTtJQKnbjazt3Z/s9V8rp+DzUZPkunY77gbqiR9VLPyBbB8j7kYSHhtlWD5WFkqyNzdMclN7csMR8KFXUWQBiWHWC5t9znOwoAkCVjCi3s9pKxOWGDjBM8KC8/ow3/JM/V7F1ag9MfYU+lsrXpC0DhVKqtYg/rqaPjMOPf1YpaUdzw4v31mE21eJZqTXAMQNsSLQR1vgEFoFE/xGSTt9UZIKcnsNjusngH/dfEDTMs3xgPdoJazUi6E5wkoKjA787otiek0bWvfHbScqf5uXyyy9nJLYqvkUHiJoFMkQJY8UinZR50BJHtQxGq5F3G5Dh5e0YtXHvZubKsJbG4kA5wubl5TV1nhrayRx+hteUcJ0s7WbprSDrz42MpL2yr3QXRB0ZyquWQSsRGcxvQSt5DKeZZGHZMsQClzjWh4nQzbZ98qilLRv1pgc2Iii0Ewd9tyPTNq0KcPbPteic8Q64ewDoRvieLBocFxXlDc77XI543OI+v3k4/u56kJ0qVTMxqA8IJJO4QqkeQ0cqkF5Kukg7GQV04q5BNHpewS8ISWVi+RWNWmlE4/q16zamX1x+Rdb1UelO2tz865vTEUc/CSbQZCnHGfHm2mnEl/NizIL5b9rZ0OIwQLjC8t51113pl6zUCsaMjgTg4yhlZwo6sQ7YyNHWHouj82RZXazNp/FUMXWJYT0So+BmA1fynKBBtNOQLJs/JVm3s9NpiWDjFeAdmrnaSQr7z7xNcCSIR7F3sgbfsAsAVhbjpN4FewWwdtHQkClT/4KsdxRE1POp8x0aHkUi4clhPmGlsrYGxShBejrkU8dXw1rBpJWQlIjUL5ao95iYoS6VXMliAImAKqB4DWmGHAegCCr8TCtfM2DauKcl0qZ6Jpx+ix+PTfeNMEFq/QTX6SX8SKMinA067im3TkD3WedowXrw56kWI2zpJy1lJo/Edon39pygVKgJvApQTmC+//3vTx5r/oQnou4S1KCrOvSwdKCzcl9V3xc/m0qAL7xt3hzKh/6dzA8DqIKktBR4XahgecfQ8Uc5aC6qaFzgoJmVAG28Ar4aCH+ezuCchh233+1YPAm5GFGath2UJ+m6VLZCAzVuATqEGe5Hsft2qbgy+Rjx23Y3Qi+XJG9AZeb0w9gg5mGMYGqsfDS/xhGSMHbb/WxWs5kRqp1ODCyIw/mOqJYGX2+P1g/Xt10PsvLuLE6m8DRL15drP5l7ydyAbJwS195SfwGsUxMJKuYzaFqpTpC5P8FjH3dMete7/wK9DtIgDXFJX0/6/Oc/T4XZU0ariDhd9WSvTvXFvymkncrjNjI89X3nbmQIG4g7JAlqzzzhhPSmP/7jYOAYhsNId991R3rPu94RmzB7GqgSn8beyHeR581YHLikdBQwDkkJht/E4YGHHnpo+tCHPkTrysPszWzsceqpL48JsIEFnG4AgArGNgjPC4NwtCbpjWTYkLQ860zjbmf3zavLN/fe6wBUEGtY+riQcH0ssXXKjLXygPXfffSj+BtPD/zpu0IqGUUirmkgT32Vkbbc7SoaJ2mFNAoYa95VOPcJjSql4WobrRrADieu1LFA68oxtzDMpltKsTT6aGwZDLmls7AGC8lTCvPjg3KoPyXYQp9q3uI7fjIYG0/msdyIG9/hJ/s3AUge0nk/FYZ45T3/6dzGz/rw3ZPYSvKDH/wgrAZhG/lQgt8RN9khyRc//OEPgw6qC1Q9vPa1r00//elP08pV90FPwMlyMepx3wIB0IlC68NrgBvyiav5lC75Ex21gKed9OYN6wgncDF5Roc6xH4G5ttNgLoArhoNbox208u+AErhZWb8tUhxz4shQM3huvnsZmJ1cDP7YRCupxsJHNCFlViSyw+Q1bRrjG8eRVQlDFgbPCWtpP8wPM2CMthVKZvOWA/kVefIbJxwqg5cqdhJOZVoSSH4SGuElevXpD5ork2xdS/fNAAi4nik/tn1INtUcgkjtEHZaAgS1UP2BFmlI4cF0txOSeYPJ5OrwObnewFYxxl/ACXGyby3Pay4/c70sTPPTCV6YrfDG9qwlkmm1em5J70oGozBNIouGshU/BHb9B9S0yc/GxmJPEQnI7h9mw3epaO/uP4XYbc7DjMXUppA6A5GMtfGzWwEwhBrw6DSLRIL5ZeR1E2OAG4CSfgnn4InPEdvroQygfpgOCTld7/73UEv41efbLfikN/GyJgrpJb/v73zANC7KPP/bHbTGyH0ACEhCRCCgHSCFKUFEFD/h4qinjkB9RDUw7OgpyieXYrH0c6CIohIUymngKCEE5QOUkINCaSXTd3d7P4/n2fe2X03yQJCNpLkneTdX5vf/GaeeZ7vPPPMMzP2zNQiTX8xu4b2xR9SsLjogvPTZUvZ2gStQjPD4iUIttoL9FgwfyHrIQDaLO7srJz5LH03yOmwNABqG/o76q5lvboYj+DRRvm1+0nSXH+cQ1fdiowvoKqx6mXBHRoTtF+AwmvB2WeGAEqyn0HR73lOLXkP2kYjzY3sRSBIwlFet4OlcXMjnm23GWjzPUtXtGTfzfEKWOsbGxok5bR5Nu/SyvJZvwKWR++pbQpoeQozoFbVwOSSdP5rHQqa1pUAa1CjNdjVNi8+d8ZTTKWtp0+m5k4e5AMbNGfWBdBGC5F5VlBUtgQvMpOVGepEIHZ7eY896QEuJt5SzEVDhgyOGYZt2OEE6t6A7zzBmXLNmTMrXYAPuo3/FlsOZx3Zg9MCgM4tcZoYMNVSoFdJ1mLRnOHFnjZY/NzgkiIECGtGclVMwTjOqR819z50nRbMYZ0G+ETFay6r0jXh523557DNjmMGM2a+xO4MbGJJvuezSPolZ385aBQyKj7IYG/QsGZAVmmoooEkkR/cbsKKUQZlkjAXUMFFk5VmrXW24gQGYbwfo6CARotyyzuuRmR/ZshGG6W99tqLAVQgBcawkv9v0qR2gVGrQApgUIWTj5uW1ybNT8COCvNGe7D9JeLrCE6A0A5FSULzGDZsWNp1110DVF1T1rxOx755731/gQbQBI7tifbhNMlGulI99R3kXnM9ti7ACwmOOM9Ofjjts8fuAVwCrOlsvdWW6fY//CHK1VONBaY8+G2Hxii9KyVlF6SlCAtmBOjkoukSX63PfDYC8O9///Hp8N2xY7e5xxeA40SC0M4YoGAwzSmWTeRHxve9pXxbFy3rIjwL8CJYim1Z2ponWgL0cWkv3alrtzPn3OmetBuhpagpZU1WMwTgBbj7rmQrgAep4lzgEyQV4BBergXYzD85T+Wd/FxAzmDrUb6z8nN8ayU3+9nrIMeN+NY8+TOtOIlr8ke5pJXlEyAFRPMa8Ug5ysyLck0DdZXf9ZurDoKkP9/z53iCx9tuuy2OAnljYyNlbmF9YTRX4tpAu2uBPKJpSTmyHGq18jaYy33riCPvuYWMGuZLLDQjyJk389u/74AAu4Ua6hctiy262xjodDfnBTTY9obmzZ4O/3E9b356acbM9Nf7HkyHHXk0E1LwigkbK3Vv60kOND/HYJZyHb0aGwoVA2iJjC5DM9X2a13qcxsDnry7aNrUdOkPL0pzmFxDSyIRTS71YxzEBmsQu4a4yt5Wbx4XuyhsxG7NfrEjZPnKozbBarmQAb4++8eG7gXZzpToVNJgeFpQNVhYHqbPWoiAZ5353MpT9/SGbiHUYWg/UtAuh/frYSyZUk3AVYyaObpdxoYD+uPOdH/7s6g1hN10+U+qCHkABdd+lKA+I9DCEnxCxojbr+tPET4FyZZ5ww03YkucsWHLLAkrqA50NcK0NhiL0FDmoSW6jusidpsVdHrDnD5fhgCo2Xzzm99MRxx2MOeAt2BpoGCbbrJ52GHV/tUSNttss7AXNqCFOBah1ol1N9UjnLmrm0F0LjZttZ7Ro7bFFYmFQjAB2HsQZNWc7Lqbnhq57wmudhu1yTbbzYdkaqZqympR1kdoeqimDi3ymADDk5512kONmmuB3Dzpvhb3iKKGra2tXTslWTkhd905t278tWuw+Vpa+04cAxszT/nlAE6e53czDxjP685Hn/m1DESec4OrzAyCqz/vWD5tsXbvBVzjxrNKPihQ8DJRuwym4U9TjTP45GXp64yvxx9/PH2aPesiP6Qdmi38oRbaWtFizbv0lm/sfZtP+dZGA/IE3aynOeyMcNsfJ0F+3qfOtBs7I9KWzKnfU1+aS5y7oh4bsbW/NGt2NESWYeDAAdGzGDF8m/Tg3x4PU5X22F6YkmLXCL8KTdRQnQ23lPTtKXEafB2DXdS1Hj7Ubsi8pgCcpgPABzJ1+HP/dmooCZtttgnb1GzGDLBB2I4xc+E5Jq392UDa07E6hE7v8dkIBWDzVeWvEQyrQY5zQq/tb/eC7CryFEwrk0KpaMVhDrVTbTjxjCpQW4hzgdTAM0HSgwTW00BB9YaCamv5EMu1nXTSSWkpETZgsd95M1+kQnqkkz/+iWCAqJFIzIoRaEwzp1u5vdIhPvs6K8hvqUUrPArijTfeyNYdvycT3svguARb6yB2dpWhF7ItjKqmWq0j9s7lVgtYgDYzaDC7GSCAgqxNjvRzWxtJEd1UvtEHoecqNIW+DKQN3mBglNf0HLGJZf4AMYXTEEfSj10MWM9B1zCSyfF4J2/MaF6Yaca3rQftty7zpxCrSaG3BB/Hik9823sBFnT5WxHqbD9VOgRcNNmou6zJCsYUEY2dmiR/XIbgSLcgQuTSercAmS8E+mwWyPctic+zGcBz4wmghacqz+O6nK989FMClF8SwOPa7/KTJ81S1Gec4/0AAph/v2Nd5Dzm93I8n2U6R2Kr+BPdeupTAD3++OOjoRN0nZhgo+caBg6AbbH5pjSeNG6YjHR7VBs0ZTVyNVhNK3KFQe62el1cxbAIW+7QTbdMp3/2P+jCMNipeYGfPuYxJqJpRbc+eKmBd8466yx6K9QUtnpnU6rRvusdx6bnp01PDzALTT5VKWjrQS9TnpI+0CFm7TF5JTRq0jFte1nRVaXH5FTvuthFgzhox3XMZGiG33o3tKaJ738vE3Acg0Dx4pkbf7bZI3IAjXddqwRdI0qoxgwbQQMHvmAegg25If/1LJfds3906F6QhSmlipXgqb/qIIPEEocKPRH96T4ig2aGlWSFWDmNeJ/0FNwgLYnaPd0Gp/yj2DtrKQyoU34jNllXlo8Ov/GRHsFcYOYs/Ay5DaNQiSbqOYec5ZxTBa4614KuIJWf+oyQI5VDvlf1V3uezCtgahp5E1sk7733vvAd3SbzRFm1m/7m+qvDbuW1gufoaxNMaBffo9uvTJkyBe0bBmUAoWiK0bITx2vnj+v64oBXXkgZe5lp4X7Vk6URpalbibikoYKwBA8Mdz8YgE1sLprLbBaqERyDFlEu68XBRYBQbVlNlZDj2LjhXYC0N1XuI7mQizqt1KHx8nbivNqWGxRpr9YhDaV8DA5R5phGqf0AWkkDg/ntAMzcMFDUaBgEWYkecSpxravMN/F6+3lOx9rNacZJtKCchfrHNylD+Hz6TQngX79BmuZHWQ4ne87jGno7qOpCNjrq5wE8vg+9XU5TjwoX17FeMt/4fmS50zEmXNj43nxTmJOyVp27/uPfsh/TrT+TLr/88nTvX+9Je+yxR8zm093OYGOrdiev6Pcc7UJ8g29TjiaA1DqwAe6NtjpixAjstNQftlluAYB4GtAo6x6ICIaOqZuU/rrW4VIHwXCvkqdenP4SmvY06ov7KAL9seu20OW3DqOhFhTxCHAhF9lAEtoLct1d6eVQ9XL4TbG1PgT6kHniyaOupOciR8q0boQYYPMMMPLlojXmL3MMfwNXBfYMsD5ZKRiftN8IoXtB1nJKJAAlBBRia5/LopptNK0wpFpDDG4RPzQuGdzaIBRZiGUQq4iWTzH+s2J6HzayG7Lh4LT37rvG9tSaErRtzZitOxSJ0HrGal3xUvZMcFRdALPi7OpGoDJzFO/zGgKvdmQcK59LWlSOJT531SBkIu2Uanp2qb1ugFEENEHHkVe3f1m6pIWu+DZpjz33jW5bqwJA2WfPmpmuu+66sL0prGFaoLlezCZHApLaxfI2/GjZArqJrZmnY8Nyf/o6hFindJkQWRYOIp9+W02nHuduc754SSPrNjBIgU2VHcERkpa0GEDWEyP10I1nUZrOojX6RpIgb3AbU4VA7LTWAC5AqFIlUR7jZO2XDRDrWQoPEc32coSbwZPihua7LtptSQxxBngF6al7iapm1sxoc0zjZN0ElCgE2MYMh7AQPBobBBqJJwVSEhApewBwLjLnle4x31PoTT8Dll/M9SgghYGqAs6hERPRdPiT6Rnp+I2c354AknZE6xRmwGwCPahrtTwbaN3ufLa8stRhrDjlVwS+Sk/FlPh01IXnJhUKBTlrEYT41qYsc2g64X/K0e8L/Kf868fSxz92cnrwoUfS97///VjMe6eddsIDZMvwd16CpohVmLqiMZVGrN3bDJIuDodoG9wlaQAANvX5p9Op//qRoInfkTbyrtpmP8YAXFtDGrvG8yOPPRHPW2kYm5oa4M+F6aHHHknTXppK+gxq0TD/6Xc3pzvxfli4YGYagKY7YrvtYvfeHoB501IbLEpajya81MkqNDzunLAMkxSeDfLqQnZAUF6akU1XcbO+NHvpnWK9OHU7MxzECsbLfMlV0I+/nHWE/LT6buVO52gdL6zBs24HWcuSGatzadVibeXsbCqAglcJAqzCIFt6ZgBG4ijjGVy7QAB208F5C+azuvv96fOf/Szz8+ky98eJHnuThvYdx45NBx54YICFmkXIE1mJ3FCzRafKYM63OJEJBX2z5DqalsCBHZ+5SIchx7cd9x8MImijUceuqnbJYNhe+h4iBO4kMO2FKenuu/8PsO2T/nz33XR3AEKFH46bj19kf5iqF0xmF1HtYwFuaa0ADiyXBrFv0mJWpX/ogQfTQfsfkP71pIlpz913Q+C1b5IfG4MKnQQLS0cRIl8xmwvNdiHO8v3QgFoAam3RS1ECXLaumTQaGSBbho1vgINsAKsAbYiBG47SwzRzihxQK2yABBKBtnU5whg1xD0EaokoSRfPlbuWAeZtTNEERsmazYD1Z1qYSwBSR5l1SyIS2/E4ky0Pmil0TifVLq+rlEHg8ecItABmfWYneUCZevGdoh0VL4MMlvmrvMZz8h7p5LhZUzZdgMdf8BnX2IzjGWX06JYpat3yizb0TTffIk2bPjsa+AEDB1doZB75AmW3DjOQUlbLYAE4zfxmk5SvXVHMKnNxHSNkP2bPK3xY4bedd9k1XXjRJenpyY+m73zzW+xae32as5DReqI6GKZ7l42zwfpyWU/rpyc0aoGRN91kaDpwv33CZEVk6sleD5omRLmP6eh90V532nEPaI49lskxejpoEmimwZw9j0kv//u/JMxU7YFD0o8vuQTQbEs/+N630lZbDcV+Oz394prr2I/sG+nd7zvR5HkPk5XvUyk27hsMQjtuWsQkBBoWTB66FOoHHtv2UAhZLvNs5umgowSrAtgoXBd/5KiVwipvrhSr22+sEZCtLoXsI0GthGAOCOk1fFwJXhVo7QJkEUjncfvKYhjL0e/Bg4ekDfEwOGHiR+ga9w3h1Y/wJ/9zSfrlz3+S/und/xSrOekbqLA0YAdCfNqFw8QUvgDT4Hf/yOqlS0K+4la+T+3H87IQi/ZWJcn0WxdlDVCm6YlXwEy6Wf+JnWuvvd+c3n3ccdG1VIN9BrezK6++Jg3fbjQLuzwdW9IIGnb369EoF9EdbyGvzdhK+3HfgZB/OuqQdPSRh8bXeQTtsv5qrtROFGK/ayNgr4Bx6PSjy69Kvfqx1gD+lgPRWnvghN4KsN07+Zk0B62j15aj2fL5pTR7yrOAAy/DFU0VX8o8C4zuqYkGAfLocDSSaHTa4ZYz22iZ9lTiNPMNwbUJWs6nwWjuwdReAMp3FXqbpdDWAA9XlnLAR59ff1oVw42PdPTpDM8MgCDPIAPIAXTrTMETMHOXU007A6QcYb5s9uSiOINXPEoLadUSNsR8bho5PXJHGjbuXuf3yTPgZM9CILSH4pz9ZjS+PmjgRx19bPrOWf+RHvzL/6WljXPSwQeMJz5ATIOgn2hs72MmKvZqzzqCQCw9eaVy029Ko9woVG5y0CThjC7z74STMdvtkC750Y+jV3TUO9+TG0XBFZBV0zaNelsb8mn57FEvYcqqPYLBDGBZvfYE7CXYUNHOxZRdmoW0EUtkpta8U7LTl50W63oWjYDh4LYNcBFclIZu2Ds99NAD6S93TQrvEESMhqYn++udlp5+blpaAv+7VrONsGVchntgvz79WTmrX/r1b36T2vrgB84W94vpgYYL2vLc25PWwb0SBN43f5YlhIq/a3NYIyCbYVQGgOGtZM5kfN09WpejASJshsJ48TRaMJjLZjFEMzi2wpRWiN1T9ODoXrSm8W95S3pxyvO4MN2RDjv8KAZ8BsBzLWyj/I507tnfTb/65RVp442Hxmi7NiBHQhX6mPCgOlAVCsR7S6N7Dvn7lYvKgZgwtGAuwxhcP3MB25FoF1YrdcnBZ5+cnI5697vT4YcfDtNlR/AFc+ek73/vO+kt5Pu9731vOvPLX6QLtTA0MrUyd5llAjxUwqUGpnVB7MmTn2AA5IQQHE0WLWjJbt2j/a+dqjYUIUhQkSzvd+DB6RdXX5uGDhuehg7qmwY2z8VTAS2H9/uxsMlB7/1wmos/nOt77jRqeNpk6OAAkti7iXzkwa4oWqRnAxW1hfQqSJafjiaCC0SSqBqI+pTdYAcoFmOSsMGwTqW3sBZrhcII6FFo/FwDWrGHFZq/XgZO4e3Tc0BsPT0DDV4wCBMIybj5pA2aNkOFMgOp4ApI8k9gsTo9hncCX8yaq0CbQUywNd8Cq6AcK2zF25W4cln815yjvTJ7AGhfde1jR+6HbbV12mzY1ulTn/lMes87cJOLklE6aN6qXZxr7eV5oMc6UWMtIGrDkIG2gGqdbnIGvluCzSfFALilnxQkf+Gz7CxHtr5hg1AXZ1eDVf8LF0jkgZJm3oaWbdS1vQG/72IymgTCeodsaGLQbuoi2E52aYpBT4CRmWpN2u4bMAPxztajxqR/P+N0JjbUp+effCKUBvNlS66yFAFQ3mHsdumvDz5NHpUtcmt5ue/Oy1//+lnpP//zrHTv355Ox33wI+QDxYElOlux0+aSET2nVPU3l7vqxlp52u0gmwEW2sj5FQaSmAqHDC5IhhYR5BNSKsH4BlUyhTjYGLjlHYNg7SM9CBTUXwMkG7Cz5pSXZqXb75jEA9w/EF61JRcwGbTBhgECM2bM4p36GMWfN28eo+ROgSQxBM4gM8raQFdc+2UznrtxcWulP3a7dBZX+Bcx62rIhhukGdhOBYdlLBvUhz2Jbr3jnvSHSfcyU8ZdYHHLohz98FN0i/CPfexjdNcYPGHNgabZNDzkezHakIuztJJGT36N8+emJayUP3z4Vnn8SUVLNCVkiniOBlC555UC/PnPnZ62HrNzGrDZFunQ/celwTRavdhPTErPrOubHibe9/7rl2n8DmPS8V/659SPxPpgc1MTElRIkBh8A2ApaccN/tiwCIjOB4vpkgi73g6CqV3N8DyIXoeCSJcW1LVRiy4geVuupqRJgBJov16OBu+sNqdac4Fv5lwAGCCFVvPZbNLy2FXPg3m8B11sg60jewY+l6+MH+YC82xJKwIf26/wjP+ZH6lzYZoX+XGET7Rvq5FmjdsBOfLrR+AZl/+LTRN5qjvSByeemL7w5a+lBx54IB152CFp+NZbRqPkFkCLmItv4+EokN8otCugKg2957VHs5RDBtFcy8sAACAASURBVJYKO8YzF0Cy0e1NQ+gOCfU8dAGVJdKYPGt2c9fmWMOA9ExT4BW4F2HC6qubHNVoHRo0ZWRzCPfQkp3d5eJJ3pfeDuZpa16unGC+WUZ6fQdtlObMnBbTX4ewlCasTodH6urep7mHjRJ5RwXBSTNqzC4w/+trrkljR21NnrMcDewPcEM7x1LkhbyoOK8T3xjxJ0f1ap0I3Q6yK1JJ+lnV1C1CiA6EEJYtVmgCg0FK+xVdd+IGg3CUGV2D1OAoqcy7vDLjaKuRI6Ml/vjHP54GbDCUylOI1ZaZDqq2B7MrLNo93Sn2nntZFhGt6J8nfphUKowdjGC6fCtqPD4V389nJKEQks8SgmFDI0ZAydt/fOmLrNa1bXrbQW+h28j30RLr9SeEgdWe29w3i/gDYOZ76HJde+3VdP+PTHfc9cewjS5BOJrJxzIEoomfdt5WQG/6C3gWMFV4xx224/vkgTTqKRdJwpdCJrQjXhSBhitnGjsneLXDTm9KN//57vRWQLYFwUEfA+e096b0xDOAGi+9edyY8G1EWYF2ajsCNnWjsKL6eG2I+gPQbITcjdSfdaFmpluQ9j8HUez+6ZqG9Q2CYpdVtwMMBO7cRTXjTKNkUE6IaWTL6hbMI3PnzEjf+dY30mabbJG22GJE2mzLLdOue+yJ0Dq9khWvaLwsvjtN+D0L7MBR3MyFr5xXANaeTkQDeAViacV1HvQkqnUS7xtJ0CC7AbSU2W/SaLhfmiYAGw+1WBcQ7wXYb7xZXTr9C19Ojz14X/r2Of+dpjz3TGVKKs0O4CfISjU7v2gHQfew9cvnfoM7ap+hZJCHoml7bWPRDsCCI2npzdEb9PJpb4D3SRZoP/TdHyJP3kGerFDqV1AO/ofmbmhov8+v2xA1IEPRo4CI8m5vKjw8IMgfyQCS1j/1gR21GVNSA54TPdgPz11rh260eXr4nklpy9HbUD5ShT6mFY0EeXbGYZiPeObedpZt0qTb0iYsOBS2dWgpLWJ6sISGBtHwctdgNZAFjpQmGvhMo3i4Fv9ZcyBLq2VFS1t/Cq9aTBvC4gxlpwAKv3aDlYo4BiN6l3cq53QsufIeDCyjAJy51bZ6Ujr73PPS8BHbMtjUN3fZEAY1rgEc2/ieo8AOGE1+6ikM9V9hZJzRY/IlGxaQ143MalcY1XJlvhIiH9E9z3cchJEn7ObaNTsSW903vvqVNBU7rPZaR3Cdj+0glq08GBaaxaypU9KTjzySdnnzLuyqOxOAoRtMV9DphG24wYBdAbYSYhldq6cwFey55+7YngciRySohhWgYuaykNkBBz64rXZE5hHIepaO22zEZmnen5akZxtTGoM77nL2SVIzWoaZ4/H7H0g7Dt86jdy8Lws5qR0ijLyvZ4KC6mSBHARwgUD6AyDEa4audveAVu7TeBD0SFjetBAXH3YNXrQgyq3JJcCEvAnOZk1gVPuiyUvLFsxNjzz413T3pDvTzy/9cdp5px3S43+bzKLrL6Rrfv2b9MjDD6UPfuifsd8uAmRIQbsnWpIrdsUaqtKV9ELb5qjG2kLjGmBF3Qgc2Twg7/msAqzWO/EM4Z4V4BfNFXfkOmy48Km84Lq88qvuTQ6+6q/aAM/27dcrjXvzXmn3PfcONyQXXRG8+mKHNL4Ng2BqdWl2sD71wqApCiBugn4qyuav5FPgspfnPc+dPCAQmpeWaKSRHfymL7viKmzf0AJ+sXlQq4U4pC19qCu+HOmg/bYCrmr+bu3UykJDlilsvXzDHhcME/XtLhSCqou1NyAzjY3zw0WyganUs2YtYNPP6entB78FHqQRUz4I4YEBMGsiswzz6an1i0FU8o1Zoj/+r7oK8qkoh+/FlkjU03K0ceupKC5kI8t6sJ11YMggnM/Xvr/dC7JWgsQqxwp9vFRAXKGnDcBQk7TL58BDCCC0zbBhTIkuy+dzu4FxjzvGESJ1eJ467cU0bLON09uPPIb49mXsisBIMGeADsLvmgYu+vsQwDJmh7Fps82HwYxqWbbiPIj/tux8E45wimdoF/HF/Ecdrh10ERaixIysJgZ81Ft23nW3dNhRR6VHH3k4TZgwgcaDXCIILXY11eRgrD4IXK8dd2A0d3um/t6VZmOftevUOL8RTdtFyHHfwjuirheuUDQKPZniOg9f2o9+YiIMjTgBEuQM3gvIqlDG/JEZQtGANOVZwchK2mPf3dNNt/4+DTvm4LQQVbIHGspT02alRcwZP/lDxyRnzffEzxHdBiED+iC3W3IbHIxzQCx6EtQRbra4gS1IL8yYl2bgGbGcBsTpwNpvW9G8Xd922nOT0yP3/5lutcJtA6TI53oNX2jSxwkjTZ/+XHry0fvT1ptunq67+nJm7W0RIrXpvrulPXZ7czruuGOYUPLJ9KOLzk8fAGjtXqqRySd0cKN3QOL8V+gz0Fr+WKwGVpG3tH743AVp4lk7yFrPejAIrOTNxiD4wLSyQtAbOgkOfjd8Siuam9OddaGTe3rhnueAWNhf1fqhgyDXgwWo7XLLwHkLGPi7wmfu3uvCLDa+NAfUpnZUjigT8oxjEc3EkYcFzZYAI23EKhc0nn0Hs0YAvQV4pSeVpaO+daaCYiPiL/f27DECcKZjOagH6aRHR4tmGRhYX3VdGqNXBiXIRniNlB2PrbcmNAV3FHFJxzGjRpMjG3Js6JgZeJ13MaGwfKEDZU7S0OvE4K4MfIEz0oWGZkRXPflE81posnwv5D6zW6YRpV5XQveCrFSiQkO0oFlRAKWlLbODHSAtNVRxXaJbFl0Xn/Oeo8s62BuEYoOAaFATUB9wxojvHHjggemvf7knZscccNAhsZ+Xs1bcCtvKFFzhgNBkb5l+Uzrm2GOzixDMofbmgE6exhlcTeQskNa+rwr0JZSddc2FQQ3DbTaW053THPHOd74z/emPd6Qdx41jPji2RrUL/BdltHDZodyzX2SQ7s5Jkbf3vf+E9NNLfxbaQzPCFFoNaeqTiFNmaOAzpr+YjppwOIItXcwM3xa41I5WCJmGNkvmD62T3847bpt+f+vv0t2Pj0xv2m4kS3KndBsj40e8bXwaqgKMNOsTa7pqxDRTEtvXg775wnt6BDSlkWi/f/7zPamp7lniICzQOUCYKNrBNx3cL/3tvruZYpnrK8CFZ74fjQDlsJGsa2tK7zvuXeniC88PoHCjyx4uiwiY9Gfx0EUI7gXnfTe9edfd069onbbffizViEZH0crcfTOZ6y6ay0i/aIqaXmxqbBgFmgBZhFwNUTprErD+7Nr7zHjuc7bV8G1gS1ahsucDWOrDaX7dFSLoy3um3Ab9gS2AlXqAfPYg5EwHmcK3W8WB+pK/ghKk73cEMidyBLDSAITGSXqaI7hNdRAHGrmhvBMLQDHySU8M31V5wIVSnA1obZmWDUkMNlEOaR3ACri5RTsPonyWF90jQpSdNE1a317zFOUnju/7PGgUKA9doJGLp780dWoauc3WfJWC5BJFeuo+TsIwPwJsA5mKRg/Q1WWwPdCILMVE1LKU3ZFx57K3ozLg98T83rYWEZ+MrSNhZQld3QWDYMsBO7VUsMzxFD000qgR2+AfOjv1H4q/KIzZG4aWgZ0iGwMGCGMrRndX0A8BIR2idQJbu4iwc7zzF2ysAtwtt9ySHnjobxVbki4qmXl6UIm9TAPN1QGv3XdncRUYH7lrZzA5LnTDzvyzCorIAB2MI1O6MLGagIw5gHnXu5H+Wd/4Bg4CLPihdsrWHy0wrIt1tLUuZUbazLSAVcKGbTcqXX3db+hiLYYOlIWGwHSa6HZq422wq0c3eXMG9QYAMjxCC2BQSi0T7UNmNycly+YlXwMG3EfPSP0R1KGc/9Nhh6b72ACxDVNBE929IQy0bb/5RjHYZSOUmxPf4lyhMSGCaRaBii4zAxxf+PfT0xlnfD7TL96NqPFtU0Bu433wIDJnCpXkQjStS3+LsYsvxezQBo/UIWB9+AlmqKLxTC8HtehfXvHT9O1vf5f8T+IaUKd08hR//N8eYso19ViCPrZuOW5Pya67g2ZhZoCQTlARMKORhHc8ylFTiX/lpT9MEz/68TR4s+HRk406Nl1AS41XM5DaYAZe8iEPRCHhN/KFIhz3vK9JI9OQ10lDQCkmi/D1pbja67kdgCm4+gttlERtUAwtarbIRcxc5J5+vY7uy3PakT2K0LprFZCUCRyss2x6vmje6a3pgwFLyy6vkRAylvk31zlpyWMsQBD2eajShlllGmsrbDR0KGYRtG/S6UXjI5+YhHIkb8izLTRM2rr1ZIjZY/C93wplh+ObxmEOevSBiC8mHHbo26Kxc+wkbOTWrg1TZEZCrt2h+0G20re2O0E9UzEwCzQ74fjj0vfOuyC9870fTEuowEULcUNhgCi3aHQ5bN54R2dmRaYIkt1khTMAAYa1CqwMf1akI/X9BmyAQ7zu8dwDiExTblA7c3ri7htvDAOhWVqJcglB5i8hpwfjcS8DT8QojyvHSnxet1FwimE4rHO7Hm3jENy1nsQP9v8d9z66dNwDaFV12mDOfoDlsmWN6Zmnn8AT4o40mEEo9zZaKhiQpTA9AIKtrayEBW1efO6pdMhbD8haiGUGEDJiqR115DGAja+EVsJRme9J/vowejwAr4ZNRo5MB205Us+wpMNZ63Y7pkFwwBJmgNX3pQxojwqLTBEKTyGJtAlUxHUIO67zzt1yWvo4MJQpyEuEiBZnds8RPivO10Ng4kH8URsz9MeNZ3C/DTijuaQydZnSjCRN+/WlAaZRdKByRxqjS394MUllwJKtLJ9ZK7xhetXn8kYLabkWqZ8zrkLt/QjcKACrLVlewepBVz+lH//ksnTLn+5O4w/fAkDNtkw1UoMHKZ8vM+9ZPnkl477n0kL+M7KxoTd8KCv6U3PVJCCABiBybR4dkItnXMeAFkfwj8SQg+gFkB759p0AeHqCgury0EaJaCPAO+64YXpN2Mr7k9GwAtPA2CxLU8FVGjshwLTcTUNFwXzaKEgnPT5gQ7RkFB5mjv150u1p37334vPWO3WDQIftXmWZ+H0wrcjfy5cu5DmzDcmqJrCNB2+aFRqAd6stN09X/eLnaL18I+hI+fkoQwfYaTFXkS8HFrkMOskTa3voXpCVUpDL5cqkmpWjnqLwHXzg/unL/3Fmmss6kX032BjgGZgaqVRNB1aejbLMJBCqGchn/pWBTFZmML16+0nUpqtNNdNd/9nPfsYqV+NY1GJw2KgcKXXNUmdiOQD2MIMoXz/rG5Gui06YTmQujvlPEdQwyFfuZ7DNsTuimrdKCmg2rmqkttCMGrMdeWhguuL/4UHQy7VcgXhtVe6i29y0OM2bO4PBnQfTHvuMT9tsMzJdddXV4Ziv1tELAvVVM+Ff3x7L0yP33ZM+c/I5wYhhj4UA0sj1PaVKOx8qXJUSeT9OKaMj0hKjCW1ZzcIplwPoipNlJijQRZOO1o+j0vgDwP7RhcvoSfkESH/Wh4GjbnAxN9/YEqxCh4B868hKJoQLVJxV3uXcegtE9TnvCh6hUVJ2XYjqAfIS5J0wkdjomgdLyOthgyWfgsHLBdsjm3XLRwK+HlpajHbDFw2YNgTxqN+Q6B74Iz+VLrzw4vTuD/xL5MvvlkbcVAQPYTQaCjJgg5Qb5py/fB43+Z71AJ+R6ViikYGgMBHAl2qqGWArwBvXarDkmF/UJtqrZXWShnEFJC4BPv4QtGnaMAnojiNQOuIb18FIvUtw4XLLeAtO+fQYiZ00KLs21L79BpGmdcBP8sS5eVCLzT64LaSxdOG8dMfvb0qnf/SnQRPLaLmc/lxPN8jGSWB//pknIoN9GDhdiL1/AJMQcvmDYpTdCR5q7uSZXoYU6wnvuJNHL+QlbNeWi/TWBYClKKG0eOy+YDMcaoe2UStTorJbLBX/6U98LP3oil+l8QcxQNQXqka3Oi/Dthi/SLWmMhnB7qHBAQ0rhmSCcbTJCp6PsQpXHwBk9732wVbXOxZdoZrQ+hBSGMIu57PPPpu2HzsubbL5ZsxKcXttJBAmDnY1QYLniBRMK1siSHQNy/2sUsRl/BFHwjeWJQjNa1+WvDMveja4X9d7mGRw8fnnxRKMAptrgOrh4NzvoQMa0k7bj2bmzJ/SPbf9IfXaYKNYxX4O9k513vrFCyMPc+e8mLYYOjDtt/euQTtzGIM4AGzJm5mRJiEllNWiaA9UYPSDVJtqacMXcmDPNBcf2Xqm6QrgdUhGA+Xvy55aua2y5NnMEB8zUdNRuPlF15JrNXaDQCt4cIuQCZhp5nnc5LatZUfoaLjyfb/nu3QuaQwDEUO7zCYj0iHxHnRPDQ7AxbVgUcmP+QqBjxikJINVBU1CziqzfuQHQ70bRREEj+iF0AD1YJbg489NSef84OL0+9snpXe9+wNpw2HbpOWaseQHX7XxID8CdnRn+ZS09ZGAIB38ZRDmPi9lBSHXiaCaJ8EIrvAvchE/0vEoUKn5g0MBkAKNJgDL6D5xmhDkT4+WX1r6XBOIGWh3S4MGfoepHmw8KNCGsQTg1PSAfFFWbkNx0lCpgccXM4Dm2IE+ys6Y1P2wB6YbGwTr+dFHHsAPfRDytTvP4GHesYGzhyo1wct04AH7cuIVDQ98ddQBe8PTeeBQ+dOsIIc5eN2TF5aibPS0Rxnv8x55o0gUxYTlCuOv/aF7NdkKfXR7smuZF3+WUdV+WtKHTnhPOvOs/0wLdtk9DR24YZoFsPYZRFefrom2tNxyy1YwBNSOrqiMzrVaqC5cQ3AbUbBGsqjvQjYSFAj2R0t2R0tdqBRyF69uYCm9F1ng4pDDDo5pfwLhUoRP+566iMKjoEeoAga/TpVHqChnnBdBhmnRKB1VNw95EIMudd/+zN5anMaNe1OaN2tGOpwFPnS1ERQ1+LuM22I0g8suuzy14Vt4/L+chKvSDaznOTvyO2fGi+neu25Pk598PDXOmJZ+9vOf0F2jC03D5MBQnoWl+QXgQ8MLRlTFaQ/kWIDlgRtIGoE5S+Qhaw+LWxaivdJVB0B6QFh5ehldNcGzQe8FXpDZFQgBNoDF3gihXOdR5DwY1E6OiBAwGyQK8At0ilfjjyDUHpR0rtXOtZvaYAkaufGg8YNHnOjhvQzwOS++H4sOARLhqmaOKwlnyKt8wbSJ47KM9qFa6Fb7jdjokChORHEKqHvE/fcPf8xiLJ9Oex54aDrxlNNTQ9+BqYkuL5kg7ZxHu9GSU5CVSu0aLff9fv7xrHJuLuSLWIIReod2CkN5L3ibtPN51l4zv8Pr8pL1x7/gSN4VePXz1W4vyNooWk9gYAyS8ZSGlAvKqWx4H+cDgJBz8tPI9Nabbrk95M5V4drwhQ6a0e1/4YWp0JgJAk3ZfDJ99rw0j7Uz+g3QTMI6xgvnp3vuvotFaTZkMfFb0zuOPDx6p9rRhW850F7RdmNGphEjt8KURINGD0me7c+UW9eODW8N6GaAhOYyxifkMYOrtTktuwQbIS+rbpVHa92xm0EWSkFMCWWn1mmucJUqRHQRliNE38Xx/L0fOikd/f6JaZsddmFkkrnSTD0d4BJsaq0wjEHAyCDLkTS9JkG2qpgbQiizuqPsn+64PT386GMhOAEI2J/cwVWb22K0yzGjt42EdIjug/C5yWEIhZVN1uxqVT4Z+VZI/W4RKMtTHQRyshHCoqFf4/30F6emLRl9dz2AA/d/KyPnl9An7xcaRT/Avo1BrXkzXorvvhXb7cyZs2N1e7Xu5Yy2DxjQKx1y4L7pg7gvjcPNa/w+u4f2rzeGi2freuNydwJsyBUZkhzmLQSaDCtYPpP2ah71TAhADnC/YgAQwenLlQNoIHdoUG65HmXlvmLTTgSTNRHJI30gjvTJDYsPTZVgj8VDfDcDjtfWS6fAc/PqXZONI/lx5p7ndl01GWiXDNpyz/n7OrmrdQrhxvMX5greyylmPqkQIqop4kKLIsgCrEEAcktzV06bw8aVp3/ulHT/I0+kj/3b59I22++MfdzJI6yuBQA5eSQWEydPeoZog9YjIXIg2JF6bEcD7eNYKZ88qlLhCmx8MbRwp5iqrQVygpoFbGUpTQ9BK8low8YxQJWjw7EOeOmo0WKjg5YoyAq49utcdUsw1uUr4AuatNCA6Te7nOUKe8BzLcwe7NN/EHxAzuAjGyfrUC135A47cU8gzHt3tcETS0izP2CpSUFb67ixY1BiZqUfX/qjdAwgq9w4KC2A5EkeNPjkojcDlj3wwxVooQCNpxsiUgYrnSA1wreZuDaIIaNE8PtqzqRGehROPpPR1oHQzSArUTPzSDBbRYmqYGqz003r2KMmpN/deH369JfOwl90fhq3255pw3590D7RSukmtrEUmkwmQxnsKlsRMqSVqhOLjPvMU08BQPVpv/3egtbaO/YrchRUbwJXFvrTnXeySMxxsYWHttNgNlpY1+HUUboOTRNoinTD1iaq+r1Ac8/8riGDbj7nOWBtlhy5draTU2A3GDwozZ4xI9x+jjn2nemzn/n3tPcBbw4NQ6HtreBvO4KtwGekW2++KdVhF+uFR4K2NUdo99lnr/TZ00+DYWVIuucUvZkGQnuvQa1B7U7wEahyTstfbwhy+T6yy8CPSx4KXGjDCKlamGW0G4gyEkztNtza/QzGMFhVPewTkoZYGWnySI3d7nLgZ9QHzypqvrBjUJgi+NIKoTzzGN/glZgGS4IKriEAh1f9RsQB5JZhf7SbadfZ+fHmf1XBdwXWOFJe0zYXaoBOHukFwM5YsCid94Pz06U/vzwdecw70slvOxrf4UEJziBtCa+u5TRetHV4Q3YQmAQAQUNedvAmjtwvW9JoplEjU0kPn1vSiO6/dIa8YZcFMNVWszZrvjJNrSvPjee6HtmcwD3yLg3i21y1ooXq36vS4n3NEGBbPDe29Si2u4BOA0pAE7yyAYO9Z555ZvBRL/JtWfyGdv1mTFR5ZL81Hbz3uLTTAe8KPnSGWdhmeT6TlbnaWK6wd8+BmBtwtTSjlE3f2R4wqhNtrOpe0LsHvSEn/bjOgyYMvTCMbfm0JlgXrciVphzFOuTHBjC0d+3zyryNbkcDyStrbeh2kJXZo1sSJJKoUJWgxii5e+MTedC+u6TrLrs4fezU09Nt11yW9jngbezZtSnzpnFrEmSdG10hvEBmiE37sC8ub2HxFGRi2LAt09Qpz6b77r+X6X8bx3J74TxOZbcAUPxJj/3t0fT1r3wluoy2ptqyZNzQZOGQjnwKQzmUM1ti+JJQ+X48zmCvbczZNM7Mqcd4rxuWGyO6HXYbWqSLejzFFMhYY5a8NJDvOpZ9m8tMr7fiNTCTpeQenvxsMLsjvFljRcARBrUEmS+bCGTPHMDXCohU7sWBm+aTKJzl0P4YbRFfXYugMEQEkED7ONT0D7hS3srXlXatPc2IZDz7y4RIp/Ju3PBeOXmVRzHcENpN1cth7+W+37CsBhcuN+g+FeXgPIOeieR6EXSsxxYAKOoVejY7qELPyMkVzz4/Jf34sivSL351Tdplj33TKZ//Kh+ggeRXp3mA8lhuIB2w5HvWbZQKTiDdmB3l1+VjrgNIOfr16O6CxlFlvBc795JS9hawCRdEAaD4cT+yzHZJgJmA5Bocdr9dvzYWs+e7TZRfk5Tlc5ygBwpDDzxT+rKhYm/8qMPe3G9wgK4O/noX5E034bEGZp0hQ/374G88f166/pqrAGN6L8oeblzmyyDP9aYibJT+9fNnpR98/Qvpodt/lT59rgvJL2MQd3T63OmfTM89/WS6/Xc30kDDoygEDaShlmyodwIQIVchwKq7ACGWsYQG1lA0VHFX8nVAT8YEK854vpf/ZrpXXliLDx0l7ZZCSNoS8rnCoXZiV4Ez+NRWuC5tPmRA+uWlF6fLr7k+fffc/0Yr7JlGbb9jGrblcNiLWS5Kmu5YvCczwKKAGK12M0zEpoG0qemCiy+J2V/a2qKrRAsOTvFD6GBOv9ebLpIru8/H/mnXW05XGGUAg2krWHFeuee5Cm2xyQbYZsRFyLO7UUxBxQ1r8NCNWOqPAQcGubRF2cWMFaJw0/IjErwOP9kmlsf7wmdPT7ffdgtjb3RLBWWYX+1clxkBdhmrcmk7zqxblRkz9Aph5diZ/p3ud7rIz18h2TX62OzJL9WhZLkc1STV6gUh7bZel4Eu61ItTa8O9636zjnnpSt+dV0a86Zd0gc+emoavCEeKYIo4BoaqTxJvSri8kODFU4aAdbBsTxRY+Mb3jOowcvLtk8Bx7wfg3vUpVqr6zhoizWPNghqdg7g2RuwQXBarTOg1BrdJUH3qmXwqoOAS7Dru3SmvaWB7Fk35annU9P8OWkQADYX/mlmHQfz6uxAPPCiN0XG4ls2LG11rBlAPgT9PkQYsdXm8NR8tFFMCWi5fs9yuJobVq4wGzX0HZQ2GbdvOvb4iem7n3hnOvVr/5Vmz5yRXsJHdspzz0XeBWl7HMvpddVjchMUOwfpWO7kZ+2X5Xb7sby74rE9wlp/0s0g25k+KwqMT2PEGGCx+64GcfxxRzMb6+h04+/uwP3pz+mu234TSwa6CHerXV26voXB7VC4bYVdafdEUoON1aCAKgZLQ3Dq0XxdZMXl1vT7k5k+99lvp+1HjVBFgBcQTgTHtBSwMBVwLwcEOITJrmNHyOygZsE3BFG5mJZ5IY71LkJ8yic+GbNx3KxO25USCFsG8+fvYabYaED4Jr6LpRjf8973pQ+feHK6+fqrogu4205jw8zRty/O3gi5Yry+h64oIHDFoJjNk0DmiAu8JK/5zN+1112bvvT1b6Zt8Cw58VMs7E7viCXP0iLm/AuuemVKYxv8AFjueV/s8Jm1b53Hj4wIwLBRBHnAt50F6FGtUDusOqlM49z9BnjCnptmDqfi5p+8JsvxHC26B94fKIeVd5jZ5VoWxLWjDYelVkxpt11912SaLQAAHMJJREFURZpw8AH4NuMOCLahi5IP5QaTAN9pREbMWQM7EpivJSgTDfjJzmUgeYstNk8T/+UEXAIxIZBPtVgbA/m6pwUiuAbwEmjy82t+E7T49HlXpu+eclw8+8UvNk5LWWFuEzwMwkZOA+CW4rXwyhRYMyBL96eiHHbKkTNuIghkMJSzPbTVuMLQMUfsn445bH9G4k9Pc2bNY8GV6Wnu/IU47NvFJ57gw88uvzbWc7Gv2fL3H4yzPCsIxRKGMj9p98JlqYln/Ti2Aay67lxyycVpEHP6zYEspgCFwFTylGGVv2R8xbyXbOe8h7IT2sKUqdPTCR+ayOrxaLEMHMxjUMVl75bhLtaLhURi4I8v6vbSvLg5bc2+ZBddcJ7mv/TDC/8raxUsBjOKaYvm0Y3mnDRRGpX4Xu1PJwpU0yY0WZ+CgEtpUJ94fHL61GmfTnffe386+dRPpe123i3NbFyMqx0uSvCau6EKzA3Y5PUQDoClfvQ5rYMPxR5NPpkvMBXIT8byOf+Mn3mHD8KLeQQdkDULgJ6aauxrBd6G6yE36vieg1bB7zIWYNesxwkKxDJ40wW3+zPApyugJpPlLp4OMDY349K3ZE764Q/ORGmAX/nku953clrYyPrAgKqDu65dbGOvJu/Abm80eG3wPRj0amawNY8roXTAW/W6L9KQxMATpZDf6umJua6Ge8LZM3TSyUfP+Fa65Lzvpztuvj4N2nDjtOGeu8U77mxgmWFOKd4pFJnqdHM9vuh+kHUEoCpYL51CBWBjgIWK7Ydt00HSqKjKq5tstEHamJ/34NeoWwdqdWy+4spfpBdYHGb6tOfSjb+9ju4XAxvYRfUTFDrtavWyawPTO/qvRjtv9qz0LxMn8r6zYrK9K+cJQYGhS3AxZzeGi2mM5Wb7MWs34fjtdyiYn3zm+efTT3/289gWORvwsxhqMsjdWWe2sN4Ctq5pNBw/OP/itM9ee6ZDDhofQm3ydkmdc263NLqe7d/sfFINMJ2frDtXK4tw12VTa7U75BY2kybdlT744YkM7mCKYX+zn/z0stTrV9eG69es2XPZNmWraKBjai0g46QEB2JDt1PbrPCBo/S5pgHKSuta6B6XxNMFUDfFArLWWWiugiigJ887aUUeMWRe8RwFQDcyvGlch8F9w2axoaWmJ3tmC+bNZ0r1kth+aP7cWbgr9g8B0M9aW3ATwNuH1Xp6YDZTa13CTCu7am4hXwdv47yIK+GiNIRVsLRZSMsYLIzZh1wwhhAj+JQxFoPRvMHtntDQrYqaMGE4aKw/+chxu6THH74/3XTTTdE7UFGIVkS0r4WXpUD3g2zl81awveqOwB0BWEO8XTMA0xFrF3J2Sp6ABa9T6XnE2aoMx2iZGQZbbjede+ede3aacNQxyUVWnNutw/8ShMzl9aIbCSOZvEGXLTWED334xNAEdOlRMBUQGV/tuDqYZwXHqYXKSxGiiqxxg84p2kdZSFrh2OvAw9L0GTPTJuz75Hq5Tj80bUdpiwuRK8/3Z9R6u+22S9/45rfT177ypbQLJoLejELp5hODXLr/qPloQzEfNka1sBIFghfQDnMDhnmHupLO48czk27EyPSVr38vnX/BJWnnnXdKB+I//cLzz6QPT/xQuvaKW1jkZnNspoInP8gsrgqyuROtugkPwov5LC4DqPJZ/hsDk9U3Op2j6VZ4r/p2SU9uc3Hz3mih8rLhyqt+mx7FBfGIo47GFjo9fYZtXX72kx+nM798Rrr4ogvJkGosB/i6F4NfyxezChoNsgvYNLQs4AF+vz36ozljz8WnenCfHrgLTovpy2bFdURiAA1lhlJbYN7hR1BOHAgdAG/Omf5CAL2ysQ8TEP7n4gtTXwDcRdV1H9TPNkac86tmqSTT5Z3Kg/XusMZAVspan51hjBsFAY1ADHQ3IomuLN9GtylWvAr7kcxPV9tEAFBTkjGt8P0OeCs+sMRnDU8Xu9Y/UTeuZZoNYD4lScCya+jMn0FsEqd/rUHfyzyt0A6SieeQNUh1GFp7nqwSZLmvcMfCGICg33T1o50c9ILBQ7Mi74a8HimzrogX76DN6jM7ZOMrwpbrrCtL5QZ45iMGyzj2JH5HriKp9ftPYaAKUWzApKe3qeII+tm6Y66LSA9merWTVhz4bFrE7grYJ+v4DVIDpNUPl6IKjQVEObAjaBrgHt8SgDu1wYCPwUHVCDLIKkJFITbhyvtotHFugnh3ALCRd2YO6IPc4EAV2msDBtpWNMk+DE71Zw0HzWIuGtSA+agZzxTNDDuO2SbdevftdPPdCXlRYkJfOmQ/dmyGEPfc+lt8XVE01NDpxY0dPTzoENganJYzGzSzLHzXorjO64hhG6fH77sr8umw1u677MTCMBvi3YE0tLCtE3HLbEPPS6imXL638p0Sd306rlGQXZGwwWwwemwpIyfL0AoM3Cz2eoyb/BXo7NrFwAKteStAWo8NqokWXYtaH7a1WIrtyZlAzsFfzIwv1/l0eTjXR3WL8EYWOnYa4SwWrVDT7cP0QYE3OolKE0yfNUbSITt+uzjp5yvShiEjKs8FfbttPfC7FFCbKFAdXb6FrDDivHEXUYmuP0CNCAEGaM4VncWuoQtLL0P16sfIsT6NNhvhcE+5zUfOi1+uha4oUE0jeUbQWEbdP/bY44DswvTbG29Oz2NO0id0CbbKRSxCvYyFcK7+9c0sMu3Ggp2BIHiPWqpO1/peKazqZgVoTaNyCmSrMZaQG+ui89mEG8+ZeyoLsGL6630PkvcnGJe7FXtrY5o5Z0H631v+xI6w89PNv/9j2mH7bZmcsgcK7ZL0pS9+MX2lNw067+uN0gPtsnXRPECXSQQNgzkqQzQQ0KSXkwTgrxYa8Xp7V+Tfxly+dInLzO4OpLWki35wNqIAT3PTht9nYc8lMWcFxtoiLvzNBwTbLKeljLXjihRYrSD7om4eU6ZkWxcVJ4C5mpa2zSa61cNHjGSh7M2jUrTpOCilf2lhupw5GbyD8R09jSBTI0GuhFQPiPIX9xvdTrItVFSWKXRYd4YKUQAxnil5sJLuLjbVy2jVVYfVkNUMSmiXGZmS/BpMj8sA0rjBOzJmpGg8n8rFEXI+LXNMvKAMAq+zhRxc0CE+yoJqExou7ziCrfnCsvTWgRtPBM99X0uxKcvktSAFsuYIgSoh15H0VpONKcbyFLel6+WXX55mzZmXvsXyiK49de+jT6a22/8MYhBh6Dbpk189J7RQLa4VXZL6zA2bwCfIqtlpLABW4pve6/jlhtBvCezmwxBeCRz1c9WxpJWZY47nW+dhv/dIerEYPLwTaxkDVAJuKwOd+dv16Y4HnoYB0C7TgHTmd/6b9JvTJz93ZnrH0RPSm3bdg+Uq29gt43GUBge6XGyd6ADvVkx9nfbSzDRuzwOgCw09xc3uxWSG77nNu9/O0Gl+5WmO3qF8fVnGsjoU7vaez+XKWPCpEkmAzfcpa6SbH5T32qurEn99PKwWkHU00275rbfemk466aSw5QwfPjy60QvRHF547vk0ZOjG6aCDDmIA4lKqiYqlZoOhgupWcXXwOld9BztwrYCEYVetL1fjoP4D6AoyEg+b9cFcoGA4WtuuEVaSrv5CVLwaafkk5+3dOu4VwPUd238FwLzmK48wJZFyPPPZEfx+zltF6OLtbHKIgROy7XPT9LofgwqhT3BfAQ2mhVmlkWnVwstTIIMcQGlXlgZX+uU1GBrSAQcckLYdtzsNFi5N2izdgogRdN8RmJ351IfGTU2ul4CElqbvqLwck0lojJm+z3PTZ18vfKz9+Ty2aTEd6s91gjUZaZ/3F117uvfL2BXCLrtg23GfVdh41qzWiRCodQvIpuEUVxsLpxAbX+B2goF5W44JYclCfGOXNmI+qE8/uewqbPlfjjUydt55Z6a8Loj1mZ975um0IYNmP7/qN2l/BlOdCZanYQvDpEdjrzlNs5S7IawUQqw6pEVc9dbLsaI0N45KUzXQrpT2enpjFVR+9ZSQuAbtnDKFzDds2LA0atSodMIJJwSTPPbo30KrGIgddMiQIeF07Tt6AMhQpRX0XgSRy3Qrx+ynyhO0S21o2qIMMQ1TjYDWuzfaIk17WjBzbho4eAOm9uHyshina0Zum7HV2k77N4L2pwjl6AW6xUpcJAyaDQTJz/qcPxlsZbqSImWonGpTMwiQJUQ8R6ttNNojBoSSFpoDgu0anMtcqKSitupVgDEkBmWWM3JcXitprt/HUm+Z6NEoQcdmwEr+k6aLWBVN1yuXdQwNEhpGn0CfVGbbwUnxzz6Jg6z6Usd0Y5KUx+oA6zqANWZ88TmbY2dhxbRjTDyxIDVAZQOsJd33wWyekyItoxqk07UdRFrGwixWqz2aOmZo1dXldSRixqI80cPdZ9HG7dOzFZNDYLHzLGtJOLuxRZ7DK6YfK/o0NzKguxzPFAbLGlmd7a3775UeeuSx9PnTP5Uee/zxdMftt6eZL72QxrLeRU8GxfSWWLrEmVn6kjPlmwahNNyxQ0eFkYLPKYsyFqGwdoWNO7jZp5U4OWb7X+OUuvBmDWzbSYP8FqTsuPeKZyu+4mwVtYOvfvWr6dxzz00C6lBWUI+WmNa6kVZWgBWIh2BANwiuy2AWGeDlQl6zgCq0BeYXYBUvZODUd9bZVcgFzI3NE8ZyJpd5VLNxkY925uG92G3W9ytgW/jJFfU7BZ6r3bpkWzBQPOTrVRwnExs68sSnKkwYe4bxzHwYT5eswp7CRAHkRY0L0qD+fdLAvnhU4BNZNHDXpJWmKzVCfnC9DlLPkKmpVqh3h7PrpJc1opbayCpSrkLVVIetE0AUXQo9Y+CGiEFb+NNj+QmpkXrQnkhonDHLizjl/WAVWt46eMMdguUv6zlct+Cb7MIF/wGQTgG2iZWXchzMR8QNUxRHv+u1XhHtgbyaRrj90QjoDeCGkziA48e6PG00eECax1qteqm4NY5rfKgNa3qayXoYLsB9xBFHpRM/cnLae2+WH4RWjgWUJSrzwFX+btCgfLgaZKv4PASgxHmFo/Q3FK22Opn8ZP37+7pAVuYwWLlHHHEEs0q2wFVm57TtttumzbG92rWSWTID52XUdFexayXD9mTwx3NDAae44E8BrnI/V1aH1hjvoDk6TVF/VAe3BHVdpdxJtdg987zokqog23H+as7UYg2IA39lVv/moPB1pWbm+JWIHNwqp5TJuzYevu7CyGpdbjhn1zCvu4mNjucUhe8Vtu1Ia306g30irNgGFhrYKNl4lyNGzgAtec6tjHqjzQaftjfSrDZGXfiLQZuo09A123spOe2MeuW7hdd9Zv3bKGvXD1yqZDLSi8a7cIj4m+uv+n3T0LxlKHwaYO19QTee+C6mBv207cEB9gOZ0NLMnlhqvQ4AuzaHSzX2YWlNLcua7Xx/FstrTsFscMMNNyCDfVhS8zJcG7ENYyJQ7rKCQfn9EPFzyPwd5xbKy5IRb5ZoEeHV/YmyVDDi1b2xbsb6u0G2MEs5Spbvfe976f77708nnnhimA6KZmscF4gQ/PLq7RrhaaG5VijUQvJCzYUpAR6YtDB2IXn1df6u8bPGIAjJOKapBiOoxrm+OcZyoGulkN/vgMuVIrTfyN8mX3EH4KswW7HhZuDMAtn+EielcRAsEfsAWNckKCFAFnF19a5wAVNMoIndSuli+gEcr4W7y0fWgeMrgWyYAyqCrFALst7zXH7Is+wgRLga0a2P+rO+4AESt36yJpqVgdyf9nkljjSk0s2HvFCOoRlHrVYhEeC0cqOYeaNaXvx2uTaP+RM5nvwaz9BmBW03S3R3CWcqOjHAaeTu8qHmrhLj7Cx7cPpo16FoyP+WvwHThH2wM770xeT4yEUXXRT8RFcv5GWZZjY04I6gTHQRCuh28fjlbkedEKGU9+XirqvPXjfICgiHHXZY7K2lmcCfmq3aha3nQhbm6NeP9TljcIq1TLVBIhRtOOrLRDpQtQcqM0C2/UbViRVNQHxCKEp3PwSJ9EKbsZvFY5nMBptDHFcGU9OqEqJIufOfAuzmJ4QiHitEIaUhcQJhh3aahaSkUkDWsoYXBd0956wbZLzQVMmsa4PW4/tonkM4SNQlG52koTO5o8frc7A+q0Opl+p72mJt2B0bsOckTxpCwCutIRwRDV80kjCH6aghqje6doXdhqhd2THq3MGcCvD6hHsmJb96NJ1yLPzl90q9RwY6/amAGHxcgIcPkd8K38Q3fUHlga+YPs/Ni+2D77i4eNib0U6d7aiNOFYmA5iVAyc2uNCQstCf+bFL2F1j6rRp6ZRTTkk33HRzest+ehzoxULPCrYiyY4Q5e64zPJRua4CWaNVh44kCv9XylkdifOgTaUxXOHROn/5miS4tEoe//CHP0SLatfFa/dlz1t9pLRgwYJw0WrEw8AusfOpl7ANsFxTWvBXTeEKyIYtU0atCI/f9OfU2WAyxEANcDEDDmGu6FAeK59aNRN0lY8MsmQZli/CZNwsZO2Q6x1vt4dqYQtPBJ/TXTPIcAVkXdzDtTjL4uHNnAvc4V8L1gq063N4NSDrtFT5yR6BDav1bwiwkj9AAkE27Pu2vvCPDZpanYNTNvUVCA7e9N0CQPbUc311gKrgbP17bKNhL0GlwRCAwlG+LDzjAGpH6DiPtCu9LReoye9m1aPwgZqsNttlrO4mdyxlIe4y2KzywvSv3Oshjitqyfeum9EbT4lNNtkkfeQjH0kXXHAB28McSANEowLQmmvxvZQz8mZ2O4rTkd3VcCYtLJsh02U1JLqWJBGabNb8KoxHxsNuU1WAYvMqt4JBubBbftxxx6X9998/vAp8LrMbv5yX7tOqNJCI9Jr+yKRwCGHNVliHcGR+zHmIjHTxpzCWjxWaEqpBuPo8s2FHvBK/dlw1BV6u/kNbpTEuGqd1JugFcFdAr9RJO3+2a5T5eyX9gj8rHjujVAd/5Le74s8V43VV3zQNBQXJb0eDU/2+DXIlr8E85VlOM4N4a/rWt76VfvnLX6YRI0YgM8qu5inS5NxPlGN1vqt5t9xfHUfTLXRdHem90dNosLClwNXgKoB67bOiddoNk0De96fW+vDDD6e3v/3tAbiaCQxqEgKxcburogphS97L9Rvt2N3lf6OV942UH8Enb9ACiKyQsbDFVt2rbuiqbr/hT1+J/8Ouj9LjYPSNN96YJk6cGPJcZFqANXgsyla+pvlBhqsxISKuhj/mucjFK+V/NXzuH55E9KtWRcgCkIUY5lTbl8FRTLsk1157bRo7lrVPqSEBt/q58bxftF6va6FGgTVJgQKy+ZtZwwub7CoysbaCbLV8rqJYIYMqTHvuuWe6+uqrY+xEYPOnbAq2BfQKDhRwLderSvf13ivgav7L+etN8436foBsqaiivXotgUvhvXZgIWycVE4eYMj22B122CHNmTOnvcUrpgJbUDXfYh97oxKglq91mwKaA7K5oKsueS7/2gqyRUa7qkXlUVlWAXqeZTjnzZsXi+b4XtFmq99d00qR+Sj480plqc7n2nTeaeCrmugW2F9pzXT4LkFN1kGGv/zlL6HJei7wOgBRwLmM8PqsFmoU6C4KFAHtKv0QYmwFHfbMrmKu+v6rSX/Vb+a7r/T+y73rs9cLPEV+VZL0Xb/77rtjunEZnPYb5nFNaK9+a1WhlNF8lPNVxVtb7zVUF6ycl26E1wZbw2oAVjs9//zzw13LOAJqGeE1vu97v3RFvFcLNQrUKLD6KVBktKuUiywqs9plr7jiinTooYfGGIrv+L5AXJQj7wl0K2KA97s7+N1Snu4A28nnjE+jTxuXbmi7ME3o7sJUpd+uyZYCeqxu/exmlC5/KbiA6vbCEyZMSDNnzgwtVuJoblDLNb7vORBWiFb1zdppjQJrjAIrmgE0H6xLochkV2XyeVF2Ntpoo3T99dfja5sXUFKbFUxLUFnSJGgoMl+evZZjBrVJq3h133T2k3emU0et/KiUR9wo5yvHWrvutNtkCxh69Kf2OnXq1DALCJh2+wvhf/3rX1d8Eltj8etSUaVCvfbcXwHstYsstdyuKxRY10H2lepJ+VMeVYAEVYH0mmuuYU2DvdvHTJR1Zdt4Y8aMCbkVA7x+/fK7MqDeeFJdOmL0+JS6AFrLtK4ArGVpKIS0EmzxCth6Xgi+YqFLnCuvvHKdIoblrIV1jQLFb3TFcnVocCs+8bri2bSS69eq4q5t91whrwRluQCaQGvvsyhTRc5L3NV1nHD62Wnfi05LLPGb0iq02dX1nTdKOg2lpRNUDYKtRJfQLjBRKqAcXynjK1bMq33vldKtPa9R4LVQYEVNtqTxSmaD8ryr90s6a+uxyKlKVgFVB8c8LzJb4qz2Mj75aNKIMG7FhCefk8aPPi2e5UddaMEPn52ePOPRNPqIi9pTOPGGtnThhBvTSXVHpPa7J4JfF67C+rrid1aMd+NJqa4q7a7y0v7xVzgJc0EBWolawNZuxZZbbhldCtOQ8IX41Wn6Trlfjis+r76undcosCYp0BVIFhDtKi/leVfvd/Xe2nZf2VexEmw1JxTTgeUovdvVW6bJ6ZyvAYP7np1Or8a/CrDtezY7WBRjrfdG16VHA0CrcjHptDT6WhVANpYkhPnhiDrAVVAGp9SOA0iPSCcdK/hGtMqfi9IRHwSkwbNQoivxxo99Mt1ZvmvMVQHvK5g4qr9Sfc428OxGBaFLECgluGD72GOPBciWex4LkJZWrhzL/ZJO7VijwBuBAl2BZAHRrvJYnnf1flfvrU33ld0CpMqv17vssksUoVy/nvJ0PfBFqp1ADOAdPzqdNm5lzTMAVM31zlMDFFe8jvxVADprsyXHK6fZlXdBV/dLSvmYteSHaQQ6gXHnSKu8Al9zS1ZAUkJ7LvE9L94Fgq7X/krw3HjVPwHaX0mvxK0daxT4R1BAsFzV75XyIriuywBr+ZXR0nNdlcyuHhmuaJcVBc0029puSCdedESqG39OmhwV8WR6FPvBvmNHr1QtE449MaVJV6bf5ogrPY8bo8eiw772MGqMhouH0xOdviGoZrzLuFdlhvg7P9WjtGQFPDUTaJeR+HYfPC/XBWgF5hJfEC6/6njVcf7OPNWi1yhQo8AaoIAyXMC1gG0GwazVFhlf/VmZkC68QfA8LX37RlKf/AQQh412zBtjFEzNtk7brtp2e+NAw/AaCREDX74ruBaw9LoQ33ueWwnlXnULV+75TkeGOswK2nhqoUaBGgXeWBQQQJXXAqQeVYyq73Vrjqu1z1FjYhDsYVXJCf9ooL0xffu0SZiM/36zQFf0ihlfPhRMi1ZbwHIEy6KtKvi8hFJJ5bp2rFGgRoG1lwJrDGTDw2DfdFxYCEansfT3L1qFT9eN1+ZBsiO7EXs7faMbtOqOES/4onQZBM5yvip28Xn5rep57V6NAjUKrJ0UWCNKkyP6ukideEZl1teodOoZdMax044/p8Mwarc9R8uDXquHoivYXhk06/SNUUem4wT8rxV7sV9dwTXs78xIw98Zvxa9RoEaBWoU+DsoMCmdhhvWaSu80clVy2cTLkxtT47FT3Z0qmuPnAfNqj2rVkjmNV1e+UHyM6m8uuI3APw7b0iPYpMd3Z6RE1nv4AZmqBwRtuPy5qs9/t17fL3ahGvxahSoUaBGgRoFygZENUrUKFCjQI0CNQp0CwU62WS75Qu1RGsUqFGgRoH1mAI1kF2PK79W9BoFahTofgrUQLb7aVz7Qo0CNQqsxxSogex6XPm1otcoUKNA91OgBrLdT+PaF2oUqFFgPaZADWTX48qvFb1GgRoFup8CNZDtfhrXvlCjQI0C6zEF/j95nA/5pZXidgAAAABJRU5ErkJggg==)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
0,266 mm
0,457 mm
0,987 mm
0,024 mm
1,35 mm
Com base no diagrama de tensão-deformação da figura abaixo determine o módulo de elasticidade E para o aço.
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)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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q9gKgDq0uLACldYQFW8ATwZT+2cUzEoZh9D3AFoyy/ay4KCSyxjgQZfPDn7VNw9Yu6cbgxE4bvxcS23DjACpBiEJgoYMqSB2VJjYIhMAIG8tlrIcAYgMYphvgMsDK0gzu1uB4vF4OQTYdM5QcPHQ179u63de6NyT+E7LJwe/b3o4ePwskTJ8Kf/em/C6NGjXrq42DfNCULvEoW8LLDMxs4qmxR9k6dOhWGDx8ePho8OOzZvUddTemWejksWrAwfPLxx6GiouKp8hPBNcptgCqEKBKl2HkA5npTrBcZkLlZqUirBdLe4mUJKyW2FSkAXIGMucbKEnAFbB1rWForOidRWk8tsWuPQgLQHU86IlJ9Dq5ucG4GcM0L0RjmpkBRQBh1kjpjoTww3j0e1B+e376O5srfqJFYh7kCzNQ4rdJvEaJJru3gyvW+eBS7wULnz5w9F6ZMnRW2lu8ww/J3v0eWhVP2b74OUDfIMzlx/ITw+m/8Zhj0wYdWq/rfC8+RficLvEoWcNaJpnr69Onws7feCt//3pvhwvnz7cpatQB23959BliF9ollCU32sZXrY2KXgOWt28obojILyMUYV0mLSANKpF8nnRTd1TTXC5V55gpWAKIQM9b9N/iRnfk7eEIoF6TNu8E6uNJS5drIGOAZ95id+gVcndJH1nov79Un6XVjE8yVhNht+QKoVWj2A6oYhZnfPDxLwBXmSu3kXj7Ya0yyTfAvyW5jqBfXfPAwAiyjHGzaVBrmL1gio1aGw0ePqEnR3O6FFxrMjcd2f44bOv+mDRvDzOkzwpv//nvhH974rhnd9/Fj0jJZ4FW0gJUDlRe00OHDhoU//sM/CmWlZfnyQzlihmzBBjsqc2z78ksY6z2xzaqwdv2msHzFSjmeLuu4GCkQe3fGPNDN0nKjxIhjvEk4UWO4AWMFN2Cvhw4ftUgBJAAYLaFZ/A28cUcX607WWnROjxSArOXBVV34uf/C++4XcIXpuSTADXKj1AbXrscBxKglYk3RYg/GA2MUwJWHpnbhoQFUZuQCDIRWwt9csyXpLYm0qcluCkip2WwAQ72gew/u2TWXLFkeVpSskXexRTXYaWXOqbGmixsrvtT2NRIFhO3sQ8118ODBMGXS5FAlgIa1fvPr/59VGOyTFbpfxYKVnvnVtoCVE8qBysqePXvCN/7kG+Gtn75lIZKUH2afvKyxdAdzdhv7ElpZUXHJQLFk1dpwVIDorBUtFCLFEC2w1iuSGy5VVUkeiCO8giPgBcvDR46ZQ5x1yBrYAbh6Kxl84W+Qt2r8OGqZwlxJPQhekTgb7CIcCwd59jn8eXoVXN0wfjH/ne1R4eCK0XA+AYxQcZgrXjqYKIBJEwApAArPEiM54GIctrEP+7Z1QlBS7cZ6GSTmY/TahpcBKJKnccrUGWHKtFlmYFKSEYFwWtdArwUY/Z5ZMmV/U0lcqqgIQ4cODdu2lofKS5fCYIHrb/+L37JhItgXo/sxboe0TBZ42S3g37wvH0prXbZ0Wfjd3/laGDtmrJWLbNnw/Vg6sLL07XT8ASsqqy4LCE+GA4cOhTnzF4Rt23cIXGOr9JZSAlJubeSBJqUNrLuq1iwz2mtkrmAEM6x1/4FDhiHgCNsgaCwdVAFYiFuNYmVrcrKASQI3NDaXYvENXMWas6Gd2ffaZ+DqRsKgBq732sa6sY4DcmbBMN2hBbhmHVk8NICKBxBjYAhAFUPwG0mAWod1B2aSbBMzyyBjZhTVbDBWWDPAiKNr+oxZYcjw0WHT5q3h0qVqq71WrV5rhiecAwMWfgT8BngbxYznyMP57ju/CMuWLA0L5s0PP/7hj8Kv/9qv5fWk7LFZw6f1ZIGX2QJe3llSBgiTmjljRvj93/29MHPmTItpLSQv7GsTi9wqjBcyxEgj5y9cVLk8HPYdOBg2bdkSJk+dGrZIXvBoozsCV7qn4m8hyX6NOhFA1JyUgQ+QM3CEGabqs29zOcClRyRH2CskjxwDYAYAjiPcHFoiafTS8iGk/Ll5jl4FVzNU7h83MgZlhjkCXMwwypsC1tYb0csPYwVEAUxnsRgI4wCmACs1DwZBK/EoAo9h43ebQeLYWhiDa1l+gZwjjd9lW7eFQYM+CQsXLQvbd+zRuWO4xkGdHyfXrt27zZhuNJbcP4bdsG59GDpkSKiqrAp1GtjsSnV1WKja9J//5uuhvLzcat0ErtmvIK2/ahbwcg+ZWbtmTfhXv/8vVWaGtkXsqCxRRogioDxmywvlDBYK4O3dd0ARPQe0PCS2ujPMm78oTJ02UzhwxLAE/IBAkb2K3pmw1iqVR8AR3AAsHVBda4Ww8TeWrrlyLbADkkYrmJl1ZEo0V3RjAJYx/sAtZIGYwKVthGmemanPwJWLcVE3NuwRYwJSllNAN9x8LXYzA1Sh5DwkD+XSAOAJyDqjdY2E/fgbRmAdAZrjSI7L6LDN5GKU8V0r4Xpc25r1VZUKCxkRJk6aElavWacXt10a6qF87bZaLHb3nn0mWfi90+kBnfW9d98Nx44dyz8Xz7Rj2/bw27/1f4d5c+bmg6F59jQlC7yqFvByc/bM2fD9N98Mf/Ptvw5Hjxw1/ZQySeeBs2fVW0plyQGWskmrc/uO3WHzltJwWlE9x06cDjt37Q3r5MyaPn224mNLBHYtBsy0fm28PflOCMOClDk5AxdcQ4W5AqTIf3R9BbTBETRYlvwNAuegCvYwA9INaqleF3DTwkbC5N7vera9XCpTxziWvQqufiH/qPhNbYThYK7MDq5org1NCv6XcarFPDEODBYDAagYiFoGEOXBYbbURC4LIEjzm/0BWAwCwMaYVyIHGPqlVUB+064LEPq9XL1aZxEDI0d9HhYtXh42btpica+c56IMvWbturClrCw2AyRn7NmzO7z5ve+HH0kC4MPgPEgdDElD0wfN9b1338vrrv78aZks8KpYIFv2fR12unPHjvCP3/2H8KMf/DAslZS2fv36UFJSEjZs2KByX23MFfbKKAKHBIDMxKseUwx5qVqZJavXhLlzF4SVK9cIEyqspxSyAeCKDwX8oDcVQ2Q7BkC2HEecxZ4+c97i2wFTgLW0rNxaseiwAPDFiioDVHCI8xhQC1sAcOLxIWtO0h7kutRnWTfP3Gfg6gZ2IALczMun3lkYhhlwxTA4ljAIDNVrEIATkIXel2/bYeDnmitLah325Rh+O4O18AmdG9311k1CskTlCccCXJ9EhxVGuSp9ZujQ4WH4iDFhztyFYe26TSY/UGMdVA23omS1GZ0K4Zz6JpeWllpPLIbulR3to+AZDklo5294RukpkqZkgVfRAl7es8/ONi9rq1atCjNnzgwr1DOLViBNej+G7FbHj58Qa91pWiv6KRLd4qXL5XyeEZbIMUZUDwmY2Be2C9DRO6tZ5fyqGKa3XiFYrFOOwRCAk6Y/IAp7RSIAXLeUbjWA5fdRXfvsuUjiwBKOxY9D9BEx897z08HVusB2EI7Vq+BaaFg3LkYhgYqN0iijWOYq66Z6Iz/aKzUGYMmDoYnAWL2WQXOhCQ+tZxszf2c/9FiMRVP+gJr3x44dtxdFkD/JHRC9eRmAazb4F+GcJsay5SXhgw8/NoDdvmOXhWhQ223cVCYGu9F6gdhz6EPxjwFwzXo227bzhzQlC7x6FvAykH1y39bZEuDFMVSl2NVVa1aH/QJdwBEwXLxkRRj7+UT5RpYILGtyrV+FVApcwRFIE2wSxxchU/UNzblwzYvChgtWjnGGHTwENuw3slQi9rtpc6kB7L79B+VfATOOGIacPHU6T+bAIlrKsYdWi12H3mAOrtwDeOZkzZ+5V8E1a0QuyO8n6nJKkmxuBpDjJokdIxFtkzoQEC2AQaHisE9Ak9oGoGVJN1V0EkCQJbURgIpsAKju2LnbmvUrSlaphlseZs2eazNdXBndgFg4QjdgoHj5uJfsfdaqOfGzn78TPv50mLSdzQGjw5i3CWinzpyjrntnrfZ9RLKGR5H5ujHt+fSBIHvA0PmdpmSBV9ECXqYKn93LSLYJTVnx35Sd8xcuhA2bNhkgUr63lm8P06bPll9kqoVhsf8XXyArxpBKcASHdYxzbbUoAQB0/oJFIkkLwtx5C4UB8wyYkfzAiGXLV0rLLVf5PmQYs3lLWVi/YYtpuhaOKUC+IMxBDoD5wlyJQmgScMOy0VuRNLk27Bk8e/TkcbvH7VNw5coYNwuuRudV40C3r9Y2CmhvGrBSWwCyGBfmyAMCtrGG2auaZ5UZKXoR9xvFRxqIekllHmzxMO7avV/GXGVCuA2Pq1wGMFdLcab7+fJxGwsF6AnPevvdX4V1kga4XoWAe9/+w+HzCZPD2rXreQrNbcHPPFeakgWSBdos0Bm4tu3Rfs33h4UeOnJEZXWDWp1qlapM41QePXqswHGxgIzuprET0sNMHle899cVf1pZfSVProgEYkZGdAkA3wzOsT1KsMS28m07Tc8t374jbNhYKkzZY6SN1jC4A6nDr1Mp7Lmq1m+9Es7gJEeCcOaKLNDn4Ormc8Pxm3UYIz2luDnQH/baIscQfXipIaDgzKzj5YOVon1gDIxFzYPBtpbvFK0vV22zxxgt248cO5rXVdBPqHkuXKy0XlizZs61mgdjMDTugy8ic41MM3ZhQ3SH5X6o8KzNin1Ferionlf7FVv32ZDhYYYcVhFcEyv195uWyQIvagFwAfaKD4PY1aWKBABY94vcLF22Igz66OMwTWXPM9tF380Xhh+wSKRFckFTdqeqUxAgSSsYWdF0VIElZZmWb5mY8Fyx2vETJoUhw4aHdeq6TgTCqtXr7W9Hj+eiBwBYtZzPnr9g4Io/p06YRN4COiZZtICYK61gC8fqS+bqBndw9SX0+S5dUEWnAVgMQ8IWQi8AVY9zZR1gZabpD0vdsHGzmOheA1mAddu2vaahuOFgmoAtQMs2ah1qq7XrNobZc+Yp+06VhW6YLKCmPcCOAw1WTPwaKRAB8eEjRglQj0jv0QiRZ06HHbt2ho8+HhKmSVBPzNXfbFomC/SMBfLgKpK1WTroosVLrRcWYIgE+MmnQ4zc4AeB0RKZA3N1DMGZfEPMFXCdPmNO2K7yf1aJYcCDtes2KA/BqrBg4RKdd5nN4ydOCb96/8Pw1ls/N/BesrQklKxca+wV3RXmSksY9gr+ANK0pCF8gOt1RR65NBCxRJn2+gNc3fwYMNY4OYeWWCs3SDIEPHBN0jQAViQBGCeAh95JU58HxdCr16wXeO6TQVaaUwv2CpsFcAFV1hGpcXoBsOiw1FwbN5Wa0Q/ISwhTpaYhKxZewfETJobJU2YY+BLOQVNh6LCRxpYBdTyL6zdsCoMGfxpmzZqT12j9udIyWSBZ4MUs4OAKHmxX2Z01a56VYRzTK1etCe/98v3wd995wyQ79NJNmzabtAc5YwZcic7BiY3WSvnnWJxWkyZPV3keLTAdHD78cHAYM2ZsGDlydHg/B64zZ862TkSEYS5WrhEAHLzBQV6pljMMGL2V7FoNWjYiC+RCsWh555lrgZ+lVzXXQnNjQDz0NL0Z5hqjYExulNgxmOsVxZwCqji0KqR3eEIF2CQAiqHpqjpu/GSB4QLTVwij2LFzl0Bxu6j9WgnVZTbDcjEwtRnNBETtVavWCcw1/k1OGti2Y3v4y7/8C2OqP33rbaslp0ydaZ5JAB5P5bbtu1TrLQ1v/ezdsFrH8xzMaUoWSBboGQt4mQIb6HUF2SHz1Zay8jBz1lwx16Fh5KgxYfSYcYrm+UhxsRsN1BxcATmc0WABkUTgBQC7YOHiMGbsBCNG3//Bj8Jf/dVfhz/7s78I3xFQf//NH4Y/+IM/Cu9/MMhkQ6KBNm/ZKkIWBy4Ee8AgWtCwVmYiBkhj2pHmCllD2vCpz8HVWKMM6CM1UuMArMz03b1SI8bKnGOt0PPIXs8JKA+YB5841OEjxljAP2nH1q3faMC7cfMmixBAAti0uczYKsbiuAMHj8roG8zQgO9tvHySJsiE9YWCVyQAACAASURBVP3v/yBgeKIL3vrZ2+Gnb70jlnzQjAowE4b1+bhJ4d333ldtdjKBq389aZks8IIWcFDlNKwDTqdOnVZ5mximTJ8TxoybYNooZXf+gsXhJz/5WXjnF7+02HOA2Lz1d++ZQ5yWKiQIOfDI0RMiYmvDDEX4jJ8wJcyeO1/leLPI1Rqx4rlh7NjxYZKiD+j6PmnyVDs3rVOIFC3jQ4ePGbGi5Yrfx+NmGayQsbToPAR2eQ8tHFpfqDX8ZX+CK7IA/XEBNmobZkIbqA1aFSpFjyooOOCKEwvNw2NcAcnNCp+AWXqgP0yW2opaCifX3n0HDUwBRMIuCK/YsXOvGYuuc9SCI0aOlXC9zUI2apSWDIb73X/492ZkRO6fv/PLcFbJdbkHGC8xdtScM2fNVsjHzQSuL1ig0uHJAm4BB1dfAq6X5ECePGWanFifiamOl4Nqhpjnx+E7f/dG+EMxze+9+QNzMJNYqVYtXSKKKOvkG6C80ruqtGy7yuu8MGHiVDsHnYBo5sNodyp6aJ1wAacZrV/mhYuWml+GzgplW3fo/IcNfzgGWdI1VwNXyQ9gFtgFuOfzC0hz9efg+fqeuQKuSAIKuYi1zl1zaDHmzbVrjH/DSASRgiMkA66wV2ojZiQBjIY+gu4Ka8UQ6KSI1wAxTixAlThVWCzgiR4LC0VLWbN2Q/j0syHh408+C4M/+sTiWv/yW98O3/n7fzCP4bDhY+zce4inlWYDGL/9zntix3tytWv7eDb/UNIyWSBZoPsWcEACWHFQ7dy5K3ygpvpnQ4ZJG/1c5fIfwzf/9M/D3/7td9XC/HH4hcIkidzBLzJs+GiLf8UBRtm+Wldvjm8kQDod0OKcPmO2wLbc8AMSBhaQs4A8zgArbBeWyz6MDnv02CmTBsASd6h7RwLA1UKxcuAKwPYLuLrRMLevo0sQBkXWcMAVzYSuqSRXIQ8r3jhqCbQOQJJaCacUeisPj+ePmNW58xaZCE3zv3zbLmOngPDJ07GmQWuFcSJ+A7BlW7eH3RoQjX3QUsq2AtJzrEZECvj5278Qe/2eid/Udm9+/0fW1W6UmifEvA4fMTLUa8gIPgDmNCULJAs8jwW+1EGa+V8ygM/IhfhfTpw4oYic6WrOz5IzalV4551fhm//9XcMYAFWwBQwXLJ0hTXliQAoLdtm7BIgxOkNNuCTgfVSlpEB8Z0QbQRBImUhxyxeUmIkDaI2bz5d3jeKzMVur8gBzPhdcLLjAwJg6QLLQIXEw3O/Dq4W55rpkIRlepW5uuG4EOuAEsH7JDowh1IuFAtwJVoA1oq+Aai6HEBtBBjCSpEAEKgRrDEuxlmydKVqIZr9MWzi8FH1DRaAYpRNMiqpBKmhAFoiDaD9GPmCohAwmGfYuiRAB7jRXn/wwx+HP/nGn4ZvfPPfhR/ohb7/wWAD9+zz8ExpShZIFuieBWIZEjnJgCtObpxRa9euFVMdIcfzHMl+81T+vhn+7df/JLylHpNviPhQNkd/Pl4xqostegegRBsFI2CkNP1hqaNGjxMZGqsW5xhr7tOsx2+Do2zHrl3qQLDfmCr7AsTM4EppWbmBs0UJCA9Ywl4he+AEeEEKRHqT4oRnUMR7d2LaVFKZ0ikpixG9Cq7tzE4tJXClA4EL0RYtIFHYBhEUc7UaQj2x6lQ7IA1QE8FckQMIp0JbLVm52moZemjhzCLAmNoKdouRMYgBtI49eeZsWCNABWCh/7Nmz9f+q8yxBZPdpxCrIydOWq22Qy8KvfXrX/+GNUHwSH7ta78X/vZvvhN2qRlxW0Y0w7V7qPQjWSBZoDsWcPBhif8F9nfhYoVIz3aL1CGo/8c/+amcyj8P/0HLUWNGyd/xSXjju/9o8h3MldAqb84TOkXsKr9hqUOHjZLcN9SkPBxgYAe+E1rCkC7K/ZZSZddSTCutWuJbIV8bNm6xEM4tpeWSD48ZuQNLIHaQPcgarWrL6Sr/EJ2eCCGNmqs6JAnX8rkFVHFQefQ6uOauk6+pQHfYKzdlYVj0rLBQLDFXyQLkYCWrDRQc9gqdRxIAXGGcePQIKgZYMQh6KgakhoHdYkAMeV4vjJRk1FrrRPcnKmh4nDSYCVrycoij44VMl4Nr2vRZ0mcmhfd+9YFCNf4mfPObf25Os1+8+0ulDvylxcWSUCLJAd0pRmnfZIGOLQCwIgPgZ9ktUlNaVi7n0QU1t5vlbNqrvB5DpJVOENu8aBLihYvnRagWmH/k3fd+FYYoex0gO3zEGIv+IdRq2PBRioX9UBE9H1gYFwB6/oK6rYp1epw8+EAMK52P8MkgA9D6XbZ8ta3zN3INkMAFvPGu9zjWYa6AK8yVMbqIbmLUA7rrornes2iBXChWDvT6FlyfxK6v6BOAK3oFAEsPrdh9TWkH9QDElVWppgAwmfHwUYOwBFxpvsNgkQaQCvgbtRNADIOlYwCZyBkZMuYkqFHttCpMmTJVL2FkrNn0YkaN/jwMlfNqyNCR6n01NPxU2uvf/O3fhW/JufXhoMGhROf+4MNBevHnTRsGXPkw0pQskCzQPQs4Y4Wk0HIllwjNesIfIVEwwlPyl5RI8ps9b4F8KLsNvGKZe2IhT/v2H5CWipNqQhiuJv/gjz+VY3p4GKU8zGPGjlN5HmMdCM6drxCGNFnQP+AKOIIRdAYimgBpEM0VcEVvXbKEDkkbxGijLABBA5DRXGGttKBpDYNL5HPFoWVpBwWutL7BMjCNnClPlJjKp14HVy7khmWJ3urMFcYK+hPWwEwnAmoHxr6ChvNQPBygCntFV4G1AqgsmT3GlX0AV/bHmICt9QXWuQjtatTLJAELIRsrxHonTJwURo8dG4aPGhs++uhTMdcJVjvOnTdPPUS2a3SC4erR8YE8lH8fPlWGrK3q+cVH4c/iBkzLZIFkgWdZINK4WG40lpaYHiwVjz1y3sWKS+GSSBCdgOj9CHAy3D09JZEN1F4UYAFacYRVA2Yx3KPHjpujqkwgSa/LyioNTCotlNFf6VGFPsrsOOLkjK6txLLSYQByhjRAXgFmIgZwfsFawRJkAVrBjiVgkznedZ0IrnF0E2L26fEZwZXnjVOfgiu1FjeB+Hv/7r3IWun6KoNgGDRXmCaSADUF4EqtRi3GTNdWwBTmitYKi409sI7Yi6K28VoGg3AeDF2v8Ak8fIC5RylcuEi2LQnW0mWPHDlsWdAdOAF6QPbtd94xAJ82bXb4RDoOwE1NGuWBNiO6MdMyWSBZoL0FYpli3LxHCrq/LjZ4wnpRAnD4VUh6vVU66PgJkyXdTZZ/Y7eFY3GcTw7McRsRBrEMUg4fSeuk+ynlmoEDyQ8CCMYWa+w+jzMLHMEnQ8vWh4pZtXqdhV4Smom8iKMc4gboc4yTO8o9eML9IgsArA6utL5tXD7hmg1UqHvyqU/AlYthGAdXah9PuMBYNNwoGgaSAIAIlXcGCjVHa6WDAA4t8gbAPjEGIjg1IDTeZ46jtmE2EVrM1XUS77bmQvRD6T4OlvEFRi0IcF21eo2SwuzUC7st1rzftJ3Zc+Zbz4wnT2KN6kZMy2SBZIH2FvDyBBACgI0iODs0ssBaDZkECaLZfkphTwAbeVoJhTonOc/KlrCi7fi2da4A5MJoLepI8fIkv49JW2JWLHpOMcQLYFh1udpIGngCHoARkDFvBa/fsFlgGiOP8OFA1sAW9gGI0VzBEM7FOcCmBunEEEEbQ0u5oemhVQiufu99C65CdesmJnAF8dErzJklcAX4nMZfVm2Gpx+DAJbQdJgrgnRpGWJ01F2h8AAuWgq1DcZDo+UYZmoeo/JqYpgILcPfvhlHbbQYNTVRTCvRyzeQ1Ut1DybXmCUwhUFjYJoMv3p/kJxj6/L78rLTlCyQLNDeAg4uLB+orNOLCmcRrU4iA5D/aHYvVrN8jOS45ctLJAveMEYKGDMz5c9TsM6oIZwXYLt9JzdytBgriVsA1wYNFVV7tVYATmekRuHIZbse+AEhY4akxYij1XJqLTfGynZwBjzBSQ7Acp/gCBjgzNVImlrBt9BbkQSQOpEFRNby96xn71twxdi6CWYLw8KZJeYKwFIbAK5XJAvUqJcFoEaNAT13MRrwhMFiFF5UzOkaDQW7xRjQf2pGjkdzZfQBxPKmliZLL0gtx7UBd4Z94V6y8WkYB09mrcbUmjJ9phmd47mHUdJnhw4dJsBuyBvRvoL0T7LAq2YBlRMVgqee2sEFskJi+jPnzlkKQcbDulQl/VKDECIJkBZwkrq4kruV4apjUz/GiUZ+Gk/t5/MlW2kBo2/Sl//e/VzUkVqbnIe5Ud78unoNSlhTa8BKPmdwAaBkhAK6t9I9ds3a9SYxekuYVjCgyn60mCnzsFdjrKoQcGjZOFp01cdfJOyKskD7fK5+r30LrtQ4Mogly84xV5cFAFdqBmZA1fVX6DiG4cGpWTAESwwDa2XG0eWxrtQyrr26UdBdEchhq8zu4UOe4F7y8Wl6cW4YaqMjR49JDhivF3TJmgMw5aHDRkgIX2rOLUCY/dOULPDKWYDvPvPtUwq87ND6w49y8NChsHL1arU8j6g8KwJIjquy8vLwuToCjBkzVuXriIAyMtUvv3zMGTJztKifM/7KbdN+5E6ljFqOkttKuK9crsh5zDBYslfVXm0wkgVBo0ULaNIFnjCtmBx7rYV0uhwAu4a1AqyAKq1fSFqFWtBgiYNrXhbIjcfnKQfBESa/534B10eqdQhfAOQY9waAJbwBUOUhAFRYJ1Qczz9eO49zha1iBJxbpWXl5t1DpAZgqXUwCsbEIMzZ+DQMTyZzq23EWukZwr0wZ0GSdat59dK2lm8zIEdeQKpgPJ5RSn3GGOuI9OyXpmSBV80CDiD+3MAijBKgqRFjpCUJGWEkVUZ0Jps/UTrkTl68eIkcyWekm95XuQNco67q5/qqJdcyaUBEzQYnhDApjahrrzi1yDEAnkC2mAFKcAKMIK9AjA5YY61gCBskDTyBxBF5BI54KCjHci4PxUIWwEd0S9iF7yg/+queIzv1GbhyUYwIuqOXGLCqic6IjTi0iHuLNUOMcwUYeSia+tQmLNFMAFGcWS4LOGvl74AwrJVjmQHnyF41sJjYK9exMbSIS9NH8Ehj8cA+AVnuzSd/2dTAtcqaNXvOXMtszkvjBX362VClKhukZ7jVyYfBudrO5+dNy2SBl8UCXkbyS33v5A0htIoE1aT6JLk0uid9+eeptxSjCcyZM890UT+uO/bwYyhZkJqHX2ho7RxJI06+SRFB9Y31FnrpxIxWL2QLsARYAU8cWmiuRB3BWqkEPCIJ4sbfIXUcA544WXPNlcgj70TA9XlubwFnn6dvwFXWcMO4XgLi00QnzpUbhWqTWwCAxTDQcR4OKu81DsbBELBWll7jALCukWAMjgOY0XCJcW1oBFxjzliYsjFXXZ9mhcWm6UVxf9mJ33guucfVq9eYRxNHG2BNerKPFMBM7Rz3a89eVQ/rv/bbsudO68kCA90CXp5ZQkIoUwArIMWgoJfkRKqsuiK/yM4weep09XicHmgFur8CcORYJj9XRzbJ/s3XWXpPz3zUkYVhMXq0YlGFI5R9MMBBEnyg1QtwwkxhqsTJ479xzRVMKS2L7BWiBo4ArDBfWsBIlVQWHtYJNgCu5Em5j+9GeJFFkT4HVzOM2CLMkRdyS7oFDi1CNQjFIj6NmYfBONQ8PKQbxw0Ec6XWgc263orRoPIALMcC0jTnG5sUXNwaQZzr3ZNBcGYhiBeOe9P2gmmqxHg67m3NGgKMS81BRt/jiZOmmR5L0hl/6X5sAle3RFoOLAsADVl4ePbd893T6sNDf+jQYRsZ+bjIECTpgrqeMirIqDGfhwmTp4STJ0/KT/HAGKeXl8JlR1fzffxv/HZJgBAovPW0gmkBM7gh8iKECpZJ69W1Vkiah2BBzsAOOhD46AOALazVGSwtYXDEQ7A4H1jSIC0XIsjYe1wXcKf7K1FH5hj3G9Wyb8A1c0GMgyPJEF+hFHcUStGqWofahtwCPAQPhGEAR5aAKyALiOLMgs4T7Os6CUALi3TNlX1hvgA0NRg1Tsu1OJQMOgmg7lrJQzm0Op4iuHK/fEB0gSVFIQZHf0GaoCvt4iXLTMdtq4m794F2fO20NVmgty3Q0XfKtq63uCjHl6uvmFQH+ztx8pR6VzZoJIGzJg0wJAvZraqqqvIEhPJk+M1C6/ZbV/V1XxZivG9niZQHmAGulGP8KBA0gJWhr2ldUu6dvToDhXyVlpUbU4WlorvS7ZUc0Wx3fw44AxiDI2AQ53Es8U4ExMrDXLm+OemFEYW+mz4FVzcQAcAAHABLrw30VktCK10UWaBS4EVeAIAVWk8IFsBJzUOAL8DGzG8MQU3EEmPAWKH0XuNgHMC1uZmRDhix8aYZhGvDnmnSZCe/R9/mLxMP5IKFi5TkZabF6WHsGRqqm3RoDBUDuDLHL6frH6hfJy2TBfrWAl/qcu2/0/jtx+Y664WTlw2WtPoqJAN41A4ge1XAiiQwfcYs9fMfGzYqsVKDkjBljys8p//O7sP6M8FVjmQADYAlNzROLcDumnwq9Qryp+Xr/hvKKbhAWJX7bQBRpER6ZC1cpNwCirclVwlsFvJGa5j9kQMgUsycxzRXRR3REwySZrJADlwtNCzn4Lb714P1Gbi68QAzajzANTq1xCjVrCAjTmMOXK/U1BmwAq4YBs2VB8ax5YI0hoC5OuBiMPblGMAVrQSDYGjAlZFlMYbrJJE53+vUmZV96YAmQLz/QEwccUT30yQjl2/fEUaMGatkEQvDfbFwuUt12NMfpZ8rLZMFitkCXkafWuqb9m2UX5zClyorBUSQmn1iivhIqk1fJX6VzHPbVDYo3046/HieP7veVXtkj0F281AswJVgfso1/hRyC9B8p9wDhrBYcAGCBo6AIeCGy4qAKqMY0EMLJxd4wn7ICYArOAJh4zwANiQQ+QEb8Hx3cj20cGgxP5R9uFemPgVXA1bVOM5czSA5hxYicYPYJQbhITAOrNUdWzBTaD3ND4wAcwVgqYEccGmy+zEYg3MxY+xrrYRhtQ0tY93WBJgAfWScnb9mf7EA7D7JD4zpA3CT0nDZihKLfd2//0AuXrZNqO/8jOkvyQLFYQH/tgvvxrfbUmD2RP4HJLQmaY4MXw3Do+lMZxuy0C1dvjIM0fDVczQQ4HmFXXkMeEdly89deM1n/c4eA7jCFPOyQI6oQdiuC08o717uwREwBLAENJnRVd2JBajCYGn9ormCJTBcQJXjwBHKuq3rXDi0kB9cc+WahGKRz9Wc4zlg5Vn6FFwxOM0JQMqEYFFqQiiIGyPI2GsHDOLOLB7SQyhYlpbF7q8eSkFNhN5KHCwGZH9qHACaGb2EJUzTe1Q4e+XlEEYB6BvnlGF4iYWTv1juv1rNHwZPYyTJRt3zsRMn5NyaEj765BMl+W4bBsaPKTxX+p0sUEwWeNZ36n8DIIlJJXYUMrNy1WqVtbPyzDdb8xmvO9n/yexPxis/jmVvTA6ueOmtC6wYpIV0irXCXHFoUe69Sc8SbAAjAE5wBHJGusOFi5aY/4bnYjt44rIARA1MAo9MFpDEYQMUirmCW+bQuhvjXD1aIPu8fQqugNhDxGiBK81yZoDOogWklVyRPophqHnQStFNWcJIeWhqStdKoPPLV6wyik+NA+2H/lPDYAyvuRxcSTlIs8GkCOkzvBSAntqG+as+CP4eP7IHluKMAQ7p2tciRsyLGvzRR2F5yQrTgtjPz+fGLvzt29MyWaBYLeDfPOX07Fl1Y5UTaJvkt8vqwnr5SnRkTVMrDn0VJntLgfx+DMvemji3hWKp/OKpN81VZRsc8Xh5MMAd42ACZI2II3AEDCGSAac4DJbnAkNoHYMj4AzSIiQN/EBWBJOYiRbgOs5czaGl1m+Mc23fau11cMUQbmgzypPHBq6uuQKuBrCqcXgIWCbAiGEwCLUOD+paCC8R1kptyUCF0HkMRq1DrVRZVZMXoAFmzsV5r12XQXLgahEDAlfkCQNXAb7fo30QfBfMBZM/C44xnFtr16+zSAdqxblqDg1V9ECNknQbEy74uPzYglOmn8kCRWcB/1YfP1Z+ALFCRgTAs76ljI4BtZqvKk1gubTVyTY0EtmukNf8OF/25INlz0koFmBmDi2xV7AEsCNmnnyrlHnA1Zv0sE5mSBrs1Z3iRB25zIhUQAsY2cB9Nk7uOBYsYfgpjxZA5yXNoYMrskCfRwu4UXxpRsnIAg6yNwR+niwbgPWaB4NQkwCe27bvVi1TrloST18MocAoDqyAMYbAKICyywz0znKjYAyuaQ4tvRiY9FM4qg1+v+0+kNx2mGmdmkjoS+jA9GHeqTyU5CGYOWu22HeTsVzO4VOH5/M/pmWyQBFYwL9Rlo8ePbYys3ffQbUOGV31nLG44ydOWw5UnFY4gi4qy1X2OB7Df/fkI2XPafqvWpsWMYA04C1gNdWRBQjrdEkQUAQXYK9gCczUI4wgaVkG63or4FohxzgSI1gCe72s89RoibxouQUE5ISAEWdrYWFi0WAb9+ZTnzFXjAMocSMYxUHu9m11gZVRSPQQe1M1q+aJvSyqLtfkPXfUNmSyWbtuk8Im1ua72LGdGQB2g6D71CjlmLNWzgu40hMMYOXazHd1L1lJwFA2h4fZl+nGYunbeaHbtm238beoyRl2mwTeP/zRTwT+20zQ74jBZs+V1pMFisUC/l2zpEVHEmuIC+wO7ZEmMeFJACrDIy1RfDcZ57LH9eaz+HW4hvfyNBzJgSsM+7pCsRg4kPJO2WeGZBHnShMf2ZBWroMrz0fLl8gBQspKyxic8Ii1gAFiwBVghqRxzigRaFhtXQembARNRJH7YDailiFUvQ6ubnAwy4widAfhPWKAZAvEjUWnVtQ2qC2iYWoMNHlgUoUx/g1ZxDduKrNua4RUQOWpcWiau4xQebnKmi91Mm7rdTUVrINCHL77jl5CNIoAtgBcsy/Q77tw6fvg3KqsrFLTSOOil5ZbjYksMWnyNM1TrHni2mvhOdLvZIFiswDfNd8r5IOxrHBaoUMCKNUCWtZnzZ5rUsD6DRvz+QH66hv3cofdHFyNMaoiMOaqch1zlAhcJQNy3+AImMAMUKK5Ol6AGWivgCvSAJUIkiOyAPs5uLoPByYMyJKbtkUOeNdc8R85uPZrDy1/gTiS8PSZcwlwlUBM5hwMghwAlWeJVophqDFdiGaJYahtqHk8RAtjALDUVJzHZ84Ba6VGI3PO3dt38uyVl2P9gfVh+ctj2ZWJ/R4q8Qsvbfa8hWoeAeh1kivW2+iUjCDJS/fzxnNybp+7cpW0T7JA71nAv03ACs20K4MGHjx8uOCb7r37e9aZ27rARlkgLy+KqNHh5yrgKimA1iysFfbaJi/uNJYKqOLMAmAJ6yRW3pkrWMIMuJp2a7IAmNSYZ67gFy1goo6IFvCWqtu1z5grhuKi1HQgPXkYCcR15tqiJjsME8ZKLcGMVgq4ulZCzYIEgBEwDCCLbkKtilEAYcDVmS8Ae7la8kB9gzFjrnVLeR9Nc8UogGsm6PdZL7Pwb27AGzofyR+WKqyDaIcLFy5YeAeZsw5rbC5/5ng8wIom06bLFJ43/U4W6H0LxAo+fsPdGzSQWFf/9nv/Pju/Atqm+W+QBeScdqkP302TfB6Aa42YpmutSAKAK2QMxspMy5dIH3CF7TjNIW8w19M5WcCZK7jEyK84s8ERgBUcMeZKC1gtWWfxbp8+B1fQHaMArtwkMzFqLdIxAFeStzSKacI4AUlqD4xCk5vaBXCFsQKwgCo1D0ZBqIZFUksByB4pgH7LuUyEVq1GZAKGgVUCriZCC/CZ3Cidv9K2v/i+yAOnzpwOv3r/Q2tyMFwFL27Q4E/D3Pnzzfhu9Laj01qyQP9ZIH67zzdoIMcWw5SVBizeVeUZsCNigJFDjKAJEGlNOnsFNL0VXFpWbl1e5y9YZJ0IvAUMzuDQAlTBH5YOsLSAkS9dc3VwpSX+WGDvmOD26VVwLbwYvw1c1QShVwM3B9j5aATOXCvl8Yd18lCI6TwwRqGGAVRZArDUPACsaySAMADLcVEfQdQmK5ZkAQX+XlceA0CVmZouitBx/CwMUni/bqTOluwPcJLndUXJShsznRruYkWVjcszUkm1j588YfuwH1N3r9HZtdP2ZIHuWsC/PbK9vciggd29bm/sz7PgjI66K7GuueT75BiQc5zWKi1JQJYIImQBWsAwWMKxAFd6ZkHYXBoAYCFpLgcArpA1sIRyzegG9CQFSzwvtOFITl4sfM4+B1fvpQVzBeQMYMUkAVkYJozzspr2eCdp4gOWGMRDKABW5ABAFuOgvRKKhSyAcTAgtRVGxShXamLCXgdXH1rbemeJQfOCnn9Cq40JWxi7h55bW0rLjX3zAseNn2gOAHqytH3YUd99/mumI5MFum+B7Pf3QoMGdv/SvXMERO1JHOoFgANHaAW7c5xEMhUCRmeukDNIGgSMHliQMwAWPKHlC8Dym3X2AVQrpNe6Dwc8Yqio6+o0xIgm4BXXBcNwzvsQL9mH7VVwzV7I13nJNMWh8twcTXRulBuGYQKwtQJHmCs1h2slGAaDuOaKMZy5Aq6ALyzXjcLxGKS+gfF0YhgWDNlrHAR87oPA3xeZeB5YKc8C6I/VaJYn9CIZyAxd+P0PBlvz4/59vYDn1Hdf5P7Ssa+QBfQtqhZ/6oEdWPlO+f7PnHv+QQOfPvtTl+uTDTwT5YmKgl5agNxtz44lZkkTnmghWrHIhOACLVyAk4gB11txZtH6LS0rN9AFS4gYyLaAAWjmZvmAbhZIi5R7wNVbptmH7xNw9ZfLhVkH1EzvlGEwimmvAlgcWIRRMPMwUHEoOpQekIWZwggxBoyVJdswCDWTefXUBMCQgCtAXa8ZuYFMNkQlOLgShsV9dFTj4AZwoAAAIABJREFUZA3UlXWeCQ2ItIYTFYY1S0NZkKP2vBIGk5Zw2PBRiia4ZB9DRy+hK9dI+yQLfKUF9A1mwRUg9LIHEBFL/sKDBhYJulKOcCIh7SExEszPTDJ8dFHA1Vu/Li8CrgAnJMjDsMAQSBsgC3GDpKG5giHgCS1gzgOWcE5IoPtswC4cWoXDRPl76hdwRRowrUQ35rorN0xMKqDIAyEPQMmpdTxiAANA46llmJEGMAjg6joJBnHWCjg35HpnEYpFZwUMQk3n4AooMvlHaD+6+Y8a+gJXeS/FTk+dOROmTJthYF/f0Kz73KaRLsdbP2bE9gSu3TRu2r3LFij8hvmy+b4BgB4bNDAWly7fU2/saGRG4Ao5MnAVUSJigC6pOJssfan0USIGwBEDVxE02CgAC2YAri4vOo4QKcAMkUOnjbKiAFbgan4byQIQQVra4BasFduCZ9xT4dQn4Jq9aAQivXAMApXPyQIAD8yytrZejLXRHgZwpanPw0LleXBqGa9tMBDbofowV0AYnQSDAtCchxEImuU9xOg3NHNNxs7KO7MEikyFH2b2njtbzx5jL1zsAKOT3GLe/EW6n3gvq5Uk4sPBH4WNW7bE66RY185Mmra/gAX8e8wv9Z319qCBL3C7z30oz+f5BQxgVZ4BOpgrGEJKQMKmTGIUwLo0ADYArrR2AVSkAZbgCIALq0V+RI70VjBd22lRw4bpPABzBWCdvQKuj/sTXPMvW0ZhncB9wBWDcJMwShejGe+KwQQBRYzjWgkGYYa5YgiWMFlYKwZDLsCZBcBS62CUuvpY41xXLCp6600ZHvDDIIArNQ6M83knfy47nmdTbcpw2wx1MX7CZEkXmySw37KmBnGvI0eNspfDNb/88sW03ue953Tcy2sB/x5ZIgPwrffGoIH9acG2Z4zDa+OQJhQqMleSZceBSFsUwZNtAQOwLi+CH85WcWDBYCFsEDVkATAHIAZkOQdyQEMTRC22frPMFb2VUaS5r8KpT5hrm0Gi88c1VxuiQR8AN8swDdQO9BJB42jKdShwvQQQdSoPg8UoGIR1aht3fMF0OQZgNkeW6a3Xjbl6pACgzguxJvrTNim0UYe//ZniH2Ol8eWXj3XO+FGXlm21ES95SYw+C9COGDE6lJaW6UUQYZDAtUPDpo0FFuAD7fpHynfZ24MGFtxgn/7MlzuZhPLrzNX1VusCaywzMldasYAk5RBZAAJGtAAzQOrgytI7IkHWwBGOMZlRSZqu1tcZI6YTAWTQZQEc4yYLPHn6HfUJuLr13TDOXD2TOP10qXFIF8aIAWilxLrygDBRZ68ALGDKEhZLDYRBEKAxGjWTZ8UyjUQDHnI+zp03SE6EtiTZejkdVDh+u89c+rPEnQBXzhWHeOClcz2G5F69ep051I4fP6VkwnPClCkzpAXVad8IyM+8SPrjK2YBCmhhIeV311tXFPa+GjSwv1+O+TlyznGXGK0TgZzXhF4SOuURAw6wACr4AWYgJYIhSI3MYAkSIyAMsDKTDYuY2evyB1GmCfW6rdSldxnVxEgambBUljswRp+AqwMJSwufwMMnWSAvDehGqXEwCEDIUAo4pXg4gBWAxRgYBgNA3wFXls5anc5D492phVbC+SzRguskMghhYCYLqOkkSOzALN3fVPiMsOMjR47KmTXOmh30GuF+hwwZGSZIMoC1c0yakgXaLPA0kMbvioq748rYt7OkNVZR0XeDBrbdd9+uZZ85jqUVo46sBaxyTlQEZZ7BEQnrxHdDzOt5kTVIGJgBc0UOQFqEsIErbOfvLgtU0BlJx4MjSItk3WLmOoArjnHDkSeMZPJ0We5zcHUqb8Cai3VlkC+E6ChGN8k7F9OF0bSHidLkJxoAXRXRGWDFOC5Ew1ih8uzD/jBfkxYEaIDrdc1ou1B5ixbIgSt6TU+Ba/bz4uXznCSQmDxlirJkTZU0oJ4il6uVZHtp+OjjzyyqIPuRZI9P68kCboHsN9JuneKcA1wICyGGlyr7dtBAv8e+XvpzsyROHWkg2wXW/Tf0nKQFC1EjiQudk2CwzDBUd4zDXsEUCBoYApZA6NypRcw6OGKOLNk578yS3uokrd/ANWt8DIKnD3Cll1beqSXNFeZKFzOYKw8GSDqDhapD5zEKhsAw1DzUOBgEAMY46K0Aq8WmaYmG29qqFGGq0VwnQYQ2WcCa8m0faf4+qYSerojyf+7KCs/JNWASgGtpmdISKv/lflUKEydNs0EOuScKBkCcnfzjyW5L66+OBTp7/77dlvpAaRb356CB/fFG3AZcm3WPGoBFUr7xqzDiCESNsg/rdMcW+iug6doreAJJc1xxnZUWM/uBJYZDAmeAGsbqJA3cIurICJruox1e5PCjT5hr9iWYQQQo1DZ3ZBBuEjZJzWDhDgJCQilqJSLDQnlAjAE7ZcYQ0HhmmCwGAVjRT6D0NAGomVhiVM6LVoJhsuAKqPmL8mX+PnPGyf9+jhXOycd/9+49MexdYeSYsfbCqmtq5dzarBFjR4aysq1WOABX9o9vqAOwf47rp0MGrgWe+h4zj+J/45sppkEDM7fYq6v+/H4Rypg7tYyoiVniw0FmBEeIeYWggSUe8wqO0AKGjIEhYAnbHGey4FqviCNa0AC1MddcC9hCsMAQbsSLrt9U7nefgqsbhg8DcHOHFuBK/Ng1vHwSoaHhjNWDQfyBYaewVsAVg1DjwFoxkksCADGGAVwxKCEUMb411joGrrBlgTq9O7L3YzYSwLGtpybOhSeRUQqmT58Z5s6bby/73IVKRRLM1Iixn4aq6st2zcheuTYstufuoaeeJZ2nOCzAN8W3QpkppkED+8U6KiZWxoQlNM+RBmCuECkIFQ7yerWEvSVrreCqy6apgicQMvADWQAMgZxB1MAcJ2iMeMuwTcTNwoZhrgArLQZY87Pwol/A1T8QDIJ3M0oDMohYZos8/A0N6v4qWQBwZQYwMQaCM0ZwQRppgBAKQBeHFywWxsoxdKG9ltNcfUhtwBXDuEOLj9TvhY+D9WcZq7sfkJ+b52NImMEffWLPQU802OyoseM0yOJyS7rt9xLvob1M0N3rpv1fPgv4t1lMgwb2u5XhIJopOwauIk4mDQgAb8oB1aryjyMZcCRqAKAkkoJu6R4tAHuFsIErjiHgDTiCMwz/DyBNlIANbCoMoTxD0PLhnJ0Yok/B1e+BD4U+/dB5wI5aOBpFIVloJWKwUHpoPLorYAm4UrMApNQ4GAWQhcVC6T1siyW1DpIAQP1UX2DpJFGEbmOu3E9vTZybl09Nun7dxrBQDq0rNWLkus/FS1bY6JkMq+Fd6GIhSuDaW+9joJ03fg+x0i+2QQOLxZaUL/wbROCAJbBLyhsxqdcEjI2NTZarBOYKnlypIcdrZLCAKuCaBVZwx/el9UvnAaIEfNwschngM/qqxOF9Aq7+gfjL4DdgAvKbY0sGIeECBiHBCo4tNA5AlQdlCbACqsgBrAOqp89EwMVAACx/h9KbJCAvYbN6et3U0C423k2OteLMQoR2OC28N7/Hnlr6+ZFBGPRt8pTplt6s9foNe47RYz636AGYNvvyoaQpWQAL+LfDku+22AYN7Pe3pELsNsrLjLBXhUkBsPTIbM05yUkEBY4QMQCmwEzBCpcdkQMgZoRhub8GOQEHO+CKvIjmCngjZ0LQXBbgHjqa+hxc3RiACADL7LUNN39TCa3Jf0qyBEASMZnaBqqOBw+2CnvFKGfOxmxZ1DrMgC6GI2EK3WibWwj61TkViUAyXVgyw7pks4b7/XRknBfbhsHjzDV4Xl74emXzGiVArbhUaT23VpSssVELkDjYJ4Hri1n9ZTravxtadcU4aGC/2zoHrji1CMkC8AC+tpawRoS1qIFWa+LTos3HsApPwAuIGa1igJUlfhtmgJjWL1orybctXanKLx0HYK42rIvK9bPwo0/ANfsS/Gb8w6GrHhpGXishJEuslSBgwiioPazG0cPy0NQwgCuGytY8/C2Gb0Xq36hjW69LxxVgx6DftvRgPm5W9l6y99gz6wArLDTqulyL2rVBGg5DSzCUL6FZJ06e1fDcs8NodTZoVW+yBK49Y/0BeZZYF+cLLN8LAfFHRShWrlqnTigHrTxUyx9RtnV7GD9+shKyTwjFMmhgf9jcu5IzsgJYQn5X8gzcsXhUHFvqUICTXEAJjsBKwQ5nry4pgiUuKYIlEDk0WsD5hkK7bstJBmgjPdzXNXg3vK5nTf0CrgCIA1vUSmJIFgB7647CKIgckFEIAKb2gME6rccAbghkAGoiDITRYLjEyDY2S29Vc4Cmt4dPAODUOOi8MNfen9rANQuwD/ViTp8+bcNvoxvzkklLOGr0WBvOmNAtt03v32O6QjFZwN87SxhYtcCAUYS3lG6Tj+F4uHK1Nhw7dTosXIpWPyUs0fL8+Qtfqf0V0zP2/L3Ecqa2oTXTYa8eP3/ntsbUktTIuHZkxrua65xUfeWq4QUg6kyWJeDrWMMSSQBwpeV7m9avzmfMVRjyCAzLPEz23bHO1G/gyp1xE7BIsvRHx5YGLbwbA4CbcswVcIWRAkKAJzUKhgBMASdGd8VI/nfGuGlu0ZAM15pNJ6EpjiRAjYPGi07iOVwztunV1azhn+h5EdkXLVpsrKO2jizn9eq5tST8/O1fiKUcM7tQMxZOfp7C7en3QLMAhS9bNPnV1sQkgubCxYqwdNkKjW5clnfGHDh0WINeLgwffvRpmDN3vojDrVQRY0nhCAwWX4r3/DRpQGAIucIZRQsWgKWsXayoMszw1q+zWZbgiOclgZzFli9aa1uUAMNoPyxgrl42fckX2efgykVtMoNExxbAauAq5mrsVYBI8D+yAKMI8MAAKDWLO7ZgsCdOnjHdFT2WfQBhwJihdfEUUutwPgyN0WHJ1uxu/137HfXa0g3OkutTeMg7MGTocAsl4xl379mvIWImmmTA/Tq7z96Unye7La0PPAvE99jWevL3CtFgqPYzZ88ZqJaWltt3j3d7a/lOxUbPCNOmzQhbt5Zb7LQd9ySC8sCzQs/dsdvPe2u59gqmQK6QBUmkTfQQaUixJ0QNfw4MFVAFO1gnVIsRqHFi4VzPtnzb5YFWOf6qqd/AFYPA4mimAzbcOMag+U4gcIuBaxz/ioc2ZppbwlyjCM2IjnFIBoxWUxu7y6LZEpfm8a3IARica3Hd/pj8A+DarOP9PXDwoMkBZ9W0u6JOE2vXKS3hyDEC2r35oSP8uP667/6w1ct+zfw7zbNVsS59n+Sf2LFzT1i6tESV7/HQKMcsMZmrVq+XJj/exmc7efKUsbSYhQ2+C+t99Sa3YfbJcWzBXinrpr2KpBCbCvt0Bgs2QL6IfWUIKEDWwRVi1iApoIkRXtVyJozTe3aCTY4hgHhXjN6v4ErT1xIvyBgAoAXnSnOktrkujYM+wvmM4gqloKapEcBerIy0HokANuuMFeMQLIwBMQrHG3M1EZq4tOLIoeofBi95/IRJYcmyZUprVm+Mhebe8BGjQmVlpYGwM9gErtliNLDX/f17mkoq2kp902jvmzaXhlOKfGFY6FOnz0mHXx8+HzcpLFi0JFRWVeXDf+y7kBkSuLZ9C9gV4KOce+9Pyv9thWPeEsDi3Gq9Ti9Qem3JP6OeoGAGUoFrrCTZhrGyLxhisqLOQcejKAfkEmN3oUbrV3D1j8yaygAszFW1zd078vZJL+HhaN5b8gWBJsBKfsVLyi4FqMJmXQ6IxomxrZ4FCwZsgK3zIgsQ9lUMkz83heqw5IH3Pxhk/Ztv6Hm3bd8RPv7kM7GXFflRJdk/TQPNAg57cenvnKfwdb57/A0VFZfCytVrDFzxIcCm9kgmYnDLUaPHWWQAeYm/zEkAdjznsXPlVrRIU7RtNl80mGL6KyAr0tZ6gxwmMXY1dlYiNSGhm00mRZo+q1avg2qenAmfkBW923xXbN3v4MpN8rFw09BuTx1G6ANeOrx9DGkLeNYqEiDWNHXGVokgIFSLbSzZD2cRTYBbOhajAmDIAZy7GMDVC5Yv6aI7a/Zc5R1YoGZKY7hQUREWLV5moVnnz5+PIR+yT4LXrnzOxbQPbwxdjlnvj3eYmU1flUMKH8KWsq3K9HbAiMIl9Rwql746fcZshVpNNH3VNXjA2KcI2XbqiLL+h1d8iY2xUzs8UcvV5UYwBQBtlewIQ/VeXEgALh+4FACwWny8MMRyCTxSjLxa2/4ev8rU/Q6ufqPcNCCIPMDHZM16GYIlWcCbFJbl6cMAU6QAMoSjtTaoexthEwxtbUYSIDu4wljRYZAf3AOf/zC/yjo99Hd/Rk7n676krzhSxvQZs8Rcyq2iOHDwiEK1pin+dWao06gFRDdYtvNc4eyh20qnwQIXR4fXX3s9jL5YaI6LYfTrr4XXXsvNr48OT+1SeEi733xlEVh9s79zCj76Kqkz163fEA4fPSKtr0kVa2VYvmxVGDliTJg9e044d+6cEQKOywKrny8tO7cANoNMWfQALWL5ckwiEGDSc4vWLcQthmrFbvLuvLqtVrO1eHUMUUaWWlCslfM9UXn199j51eNf+g1cubzfpC9NjFYtEYOAc2EUFquqnAMM16KZMAmyZjHzgTI+VQMCdK4Wiqw1p7UKpC1KQKCd/Tj7E1yzL4Tn5r6oTMiIPlKxrsTsoi1v2LglvP3Oe9ajC7sg1rudsudI689pAQNVB8+nwXX9G/rbG+tzJ88Bbf53967p740lcZKXq6tDWXm5HFVrrVMMBIGOMctXrArjxk0Mc+bMCxcVipU9rntXTHtjO2OwOQcXiVawPTOJxX02EmctXUUUiMiZDABuiOThaGem/FkIp8oq5wQ/ujL1K7hyg9kPiOB+mu+xtok1DQ8c2et1S+gCiJJMAQmAECYcXk0I0PSkMMYah2C4n2sKmBwg42Sv0xXD9MU+fk8wagocWbLWrttgz0Q4ztRpM83hRWYe/1jiffV19dAX1uina3TIXNeHN8RY22Hp+jfEYt8IDrdduVuV78x3h75631LcrVy1xob8IWcxYUE7duzV0D9TwmefDQu7du3W9347/75572l6PgtYKZH9rFUskARX3HFuTX6xWIiNM1pyEgC+5ryixSu2yrH2DjLvsqt30+/gyo3mQUbg6voodNypOeIy4EnyBGa6jTIzbLUNm52pedj33r070lrVI0sfM8Zx1urX8WVXjdSb+/m98CLPX7goJ8Zsy5OA2M646sOGjxSL3awPIBv7in4XmWxv3tsrce6OwLWr2zoxkL9TX9KUxGN98tTpULJytVop263FBbBu2lKmkSmmhtGjPw/r1q03HwHH+TfbySXS5i5aAFvSnEczNWwh7FOtY5is44sthTeWkCUHwpAyd15xDuiqv88uXrofOxEU3CE3DnOFgnu2LMARkLUEuKLyMFiCrAFUek/EpCyR2QKq1EJW8+gYsrRD6Y3G69xmoNw1u2ukglvt8Z/cD/eJpFGyclWYOWu2ErtcCpeU2JdeOkOHjTCmA6AydDdTsT1Djxulr07YVSDtaL/MPWbfR1yn8nts7Idk6buVd3jt2g2SAc7IOdugBEQn9W5XWlwzzswLqlj9O2CZpp6xALZ0gmUMNufcBjytU4CAFrA1YNU2ABgMIuKAOb7LCK7dvaOiYK5+0/4gsLjYsSDGvzKA4W0BJn2GofCAEDM9sABVB1bAGOpvhqPm0Xk6Ale/XjEtefYnCrWpVWeCQYMGhY1iq+RYOHjoqNjrKHWVnWTPDLi6nVim6QUt0BFodnVb5tLZdxLXRRT0DTKM+qbNm8NiRYCcO19hUhaZmJatAFhHWxdoBq4sPD5z6rTaQxagtOAYRj8lnzTMFCC1pdYBU9NWtQ/7vmjpKkpwBRCZH+phvXZBB/EwLRedEaVhq5HWR2Cl5sFINAOywFrsQOSFi0pjzZo1YbIGNaSTBE3H1WvWh5Gjxqrn1h4DYH+uHvrmXu3TdASkUla7q7n6+/MlFT1pJXfs3K3BNHfakCzEr5KYeaYiAcap8wiZ0UicTrOV42BWPr/aL6X3n97fk5elbDSO/U23MODB1R/yqaUe7rE+uOiQyoVpIUjDTnNU3oRn/YahOlsFXN2z3vuvqGevgA0oaMS+4jEm6xGRA2T/mjFzjvqWTxcTqs+znJ69+it6tg7BNYTuRAv4t0tB5f0hXZ1Wt+zVa9ZZVityCzNkSJlyAtAjjwTp5Rr2J2VA65tvzt9PZ1fzv2eXne3bne39zlyzD9RuXU9BbWLBu6rRoe4OoN70N+9fTgaIvSfioGE9wum7Y8Ue2pfnh7lQgezff8B655DQheThuzSMOM4tcsGiQ3uN20OXfvVOY6DqoVi+zEYDdD3ONWrhMSEPMsBO5QfYsGGT5WElBeYF5QfYuGlLGD9xsg2pTuys+QP0vrPv0b//V+9l9O4Tf5VdO/p7R9v8Lp/1N9+HZb+Da/ZmWPcbR/VgHW2EDzA7m9cvJz5b5wA5etBK2N+mnhBM4pl6/d/88+refZ1nbRagkiWLmdCzmporGn9rsTm3zpw9a/YAiNPU/xYAXL9QJU8TnwiPNWs32hBEJAY5qlbH/AVLrMfd4iVL8p0S/F1n776jbdm/p/XuWeBF7PmsY5/1t+wdFi24CioFNhEweRifAF0YLboqIDTQJ39R/owseS7YKwmSJ02aZkP/NjY2WLasiZOmqHvsUuu+B7gWHj/Q7TEQ7x8fQEXFJY3wuyNsVXMfrZUcAdt27A5z5i00KcB7evG+WPf3PRCfd6Dcs5eN/rrfogPX/jJEsVzXPwgAlkJbWlpmhZNOBWTv2aTm5WfKA7tx06Z2wJoKa/+9wYMHD1k31v0HDsacoBqIcktpeRipNIE4rgBTHJX+bvmdppffAuktF+E7phACrjjqiHfFAbJ8+UrrOIEkMPbzcaa/NqgLsBfYInyMAX9Lbltb6mmyv4mNrJEMsHfvPnNcHdIoAXTHJon76tXrwhSN8jt79rw8S+VY3ilTAlczw0v/TwLXInzFXogpjISalZZttWBzBmeku+9m9eqxMbfU2wdpgP04Jk09bwF/F77E1jijLl68GFaUrBRDLVM2K40Uqq6s+w8cCLOVj3fI0BEGoN7859jsO+ocXGMIGH8vnF9/OrNMzz9sOmOPWiCBa4+as2dP5oWSnAkrSlZZKkKSfACy8xcsDmOVi4BCTvhPtvD27F282mdzULV3oYqMDisVFRWhTBXeenX0oBedZbjS6BHTZ8wMEydPMWBklF/eib8XPw/W7BxcO7I1gPt0YpmO9kzbissCCVyL6320uxsHV4asYJTPsWPHK89AqWUGO3L0hIHryJGjbOSFbCFud5L047kskAXD+B40zLUStxMiR++5I0ePKqm1Ro/QeyHZzgSFWZE2EuCE2fq78/P4kpvpDri2j7d9rkdJB/WTBRK49pPhu3pZCiVNf9jrggULwrBhI0OVBlGjt89ydaEcNPjjcEDNUS+8ttTJk0jQVQt3vF/WnuSpuHKlWvlX96n33DrFr55QLuE66avnNQzLGmng4w0wAc3saAEdn7kb4NpJB4fOzpu2F5cFErgW1/t46m68kJtzS83RqdOmhVXqHkte29hza7acJ9NsBAbfF2BN4PqUKbu1wWypXA+ExJ09d1YV2YqwXh0DyANQq44Ce/bu1TDX8xUqF2UAtnFMV1oQXWWuibV265UV3c4JXIvulTx9Qx7bS3Pz6PHj5jA5eeqsjVpA0Ppoaa90tcT55QCb4PVpO3a2pc1mspoA0kHyloZhOaMsVmvXrwvl27eH6hqN2abOHDuVc5XUkPS4AigLATWeo/MY7C6B63Pkj+3s+dL2/rFAAtf+sXu3r0qBRR6gKywe6QmTplpMZbWGu5mvkUE/GPRJOH6cYZc95Kfzwt3ti7/kB0QwjKDKOpUYTHSnkq5s3lJqw7DU1l2VvnouLF+5MoyR9g1AMsNs/fiumumrwTV2vU0RAl21aHHul8C1ON/LU3floElh3r5jl4aAeTfs239QPbVu2lhM48ZPVvfYpZbUhn3T1HULODiyJEdFtTTtNcq9unjJCktg3qgK7fjJE0oTWBJGKDsZ4Ej4VfY4X+/KVb8SXBNr7YoZi36fBK5F+oq8sLL0iXWaoDi3iHUlS9ZFpSWs0MB2K1et0/hLk5TS7lDeW93ROfxcr+qy0Cb+G7sy0uepU6fNtlvLt1vCFYZwZyBB0gTS9RhgZDDMp1LU6d1wrq5MzwbXGOuaWGtXLFnc+yRwLdL344U+u+RW+U1S7XplWxo9Zqx5q4mpPHP2fJgxY074+ONPrecQ+2VzDxTpY/b5bWXtGW0Z0wQSZnX46DGLHy7ftsvGaKuR5LJpc6nCrCKoAoo4FrPn8HfCtq5OzwbXrp4l7VfsFkjgWsRvKFuIvfCyNJalvANlCmT/SGB64sRJabGtYlzl4ZNPh8mrvcGGrnBHSxE/Yq/emtuv8CK+naV3Y92mhCtrlJT8+InT0lsbrKMGyazHT4hOK/Kzur7qduV4Jj9f4XU6+53AtTPLvFzbE7gOsPfpBZkC3qTm6ZSp0yzHa5NGwz0viWDu/MUatWCMQoYu573YPKIfN8Ae94Vut6Nn9m0sHzz4IlRWVqky2iiNdZ06apy3YVhOnT4b5s1fKDuOjjJAY1PefvH4F+tunMD1hV7rgDk4geuAeVXxRh0cAFe6vTK+Pdntd+7ap3yiV5X5fq+NJrp4yVKBbyEodL3pOsDM0qXbxXbYDbmEjGNnlWmM3lU4CC+rk0D1lctKxLI/MGAgAMjsNoxslQgMtNUErl0y+Cu+UwLXAfYBOLjGAv7YxrhfpSxMQ4aOlGf7UqhXZiZ+E02wadNmA2DXXtseFZAd6EDb9WfwPbEdFVJLS0vYt29fWLa8JOxQztWrdU1K51hnjqxx4ybkgdUBtjeWbe8irb2sFkjgOlDfrIACgH0Gfe1ZAAAgAElEQVT48JGcWefCh4M+EgvbGFrkmDl67IScMFPD9OmzbUQDRoyFebVNwE32d9tfBs7aVz1DhNS2yijqq8glOzRg4IqSFRbK1tDYIvtdtGiLqdNmGmslSXmW5WbPwXqakgW6YoEErl2xUpHu44UeRwvhQmitJ06dslChsq07whglawZI+DsA2zZ9FTC17TlQ16JtYvOdigXH1ekzZ22oHDoGXL58xTphHDp8XPrqojD4o08tVwND6rhdC5cD1RbpvvvHAglc+8fuPXZVAADwuHbtWpijnlsMYFgl4Dh/oVIpCpcr9nWiRiI9nQeMHrtwkZzIATB7O76NJZIIowDA7leuXmvdhK9cqbX8qzt37Q0zZ82z+NUSJWCpvVprrYGor3Y9bjV77bSeLOAWSODqlhigSweShxqw8ZTChX7x7i8tgfMN9Yvfu++Q5SGYO3eB5SHNggbHvQyTP3/2WXzbo1x34R07d1k8MHIJHQDOn6+wHlgM/jhR3YiPHj1unQKwDwz/ZbFN1iZpve8tkMC1723eo1d0IGHZ3NIssJisvAOTwpXaq8Zgl69YHcaNn6RY2BPG4rIA26M3UgQny9ri/v0H1kV1m+mrq8LhI8csTSPDsKwoWa0OGOON6SMVcFwEVmSEF4sEKAIzpFsoEgskcC2SF/Eit+GgQhO4rq5OiUXGmYOmrr4xHDt+WkmcZ1si56tKRuIg8iLXK8Zj3QYs7927bzIATX1GC6i6rGFYNILD3n0HBKgLlH91QtiwYbNGEGgLVev+MxUOyfJGWN/9k6QjXmILJHAdoC/XwSSGVEV9EOC8ffuOZcofMXKMgPWk2OyNUL5tZ3j/g0GhREPFkPHJ2esAffSnbtttQeVy69YtySNnLX6V/ADV0lerNcw1ccBTp80Kn0uDLi0te8GuwU9nrbo4+vXw2uujw8Wn7i5teFUtkMB1gL55B5RsULtvI/B9lIZ/YdgRNMYL6rk1Q+x15MixNuYW+znAsj4QJn+2ju6Vv1FpwNr37NFoAeq2eujwUT17i+mrJSsZLWCisdbDR47mEtsoFE2VUcfxvtjkWXaJrPWNLFVNmaw6ejWv9LYEri/B63fg8SVhR0cFIkOHDQ/7Dx1S87fZ2Ct5SJcsW2bOLe9YwDFFORXgmz+b36v/fiKNlFCzy1XVYf36jQqnWiVAvaieVdcUenVe+uoa01dnzpxjqQR53HgswOqzn9WXXJy/dT4VMlVGDUiZrDq316v4lwSuL9lbBzhgpYQfIQNMUJo8nDiEZ5WsXGtDdG/fvjMHMAUIVky2yN2ag2j21nwbaf9u3b4tlnrEhmAp37YjXKy4FGprazWQ4EGNFjBXgzhKBigrt1A1sokZWbWT+bOzfI7JxrfKDoGdNNfnsOJLfUgC1wH4eh1cfOmP4L8BV7p5kvR56LARYYUGMrzWeiOcOHk6DB8xxrZdv349w+D8DMWzzEOfAJTnYso+H8ybcLNjx0+E2XPmhW3bd4WWa9dtBAE6CUyeMl3SyFjpz1skA7SlCcyep3Pmapd7xj9PD3dtTPa1BLDPMNor96cErgPwlTvI+NIfwX8DruQdpQ/9tGnTwz989x/DMXXpRH9dv6E0jBw9TukKy3OhWcUZ12ng2gmwEmZ1RSMB7Ja+umlzmdIEntSIuDXh5KlzYdWqtXJaTVJ2sEXh5MlTuTSBALNbqQ2knxtcOxqVtaNtbZdMa6+gBRK4DsCX7iDa0a3zt3v37inj09mwZvXq8B9+8MPwf/7v/0eYptSE9QpHOnn6vMbgWqR42GnKolWr4PkY1/msc3Z0nb7Y5vdkS2vSP9EgjHfCuXNxSGsyWp27cDEwDMshVR4zxWBHjvo8LFtWYj2w2h2fRdcXvvlcGFbGo5WY6wsb9aU7QQLXAfhKHTT81v03UsCVK1fCiuXLw3f+7u/Cr/9f/yT85//pfxb+9BvfDJMmTzbtkXjPffsPGbubv2CxDW3ix7Mspil/XwLWx48ea7ywG5ZshWxWZWXlpiNXypG1XZmtZs1WN9YpU8NGjRxAV+COhmFp/2zGjdtv6tavFOfaLXO9gjsncB3oL10YAQihQd6Wc2e5ogH+t//lfw3/zX/xX4b/9r/6r8Pv/PZvh6XK7Tpt+vQwaPDHcvbUWU+lpWJ3I6RJEhPqIFZMpvB7YknmLxKqkKt27ryFShd40BKFM/Lt+k1brKIYP2GK5Wf9QgmwcVw9FiN/9gS4ftU+zz5D+muywLMskMD1WdYp0r8BOPkpA64kgC4tLQ3/5l//6/A//4//U/jtf/FbYfGixeGeQpUOKSQL5xZjQjVr1IKDh46GKUpJuGjxMjm7WtsAllNnTp+/TmYlD3yZbdnVLpwiu7ut58+pZ/N1tOO7kjgqKqsUSrbDkq6QDpDxw6gUVq5cHSZrkMZ5CxdLXz1tURIcy3FpShbobwskcO3vN/Ac18+ChwPRQ3nEq6qqFBmwQprjsvD33/n7MOTToQY0Dx89lFZ5N2zdui18+tnQcObMuXD1ar2a0GWKAR0XNmzc+NTAe5y3s8mv2dkeLwquPB/M84701SPHjoYFi5eapFFZdTlcra+3PAEzZ80Jn346JKzV8CzNHaQJ7Oze0/Zkgb6yQALXvrJ0D14HCcAnZ2otcurMmDFDWmSZecgvXboUTihMCe3x0eNHBp41NTVhgoaEIYl2XV2DnEEVFgs6QnlgL2p/P5eDp18ju/S/AYDZ2bdn933WeuH+/pul97Y6cOiw5ViFtTJSQFV1dShTBTFDHQKmz5ipyqJcERHSV3P3wvX8PM+6dvpbskBfWCCBa69bub3jo7NePPTwea0wTrJdoPrrYXSu4zpgwgSQsH73zt2wU9mfRqvLK72VHGCyS/bjbzuVfu+9997XWFEHrBcT8aGjlchkqZxEXzBstPRKP64j0/jfHNCyS/7W1cnPw/6+zrkIIcMpt3rNWgNWYnOvKX4VGYDeV2SzmqIYVsYO8+Oyy65eP+2XLNDbFkjg2psWzoFjJmKnw6vFMJ5CcI2gnD8203c9CyaEXR2Wnjpv7txwTuFXRAwY4OWAlwtaMz33m55by5Ytt1Csy4oNPS/2umRpiYaFmWKdDAA3P3/2Zn0b52+VRlurMK4axZpWVVUZGF6/cSN/Hfbt6hTPCwuODrlzZ8+HLVu2ClwZ5vqUjRZw/PipsFiJvz9XfoDl6hBBKJbfj1/Lf3f1umm/ZIHetkAC1160cFf6m+f7qBsQZ3r4FP5WQrs3Xovs1YEEEKWrJ0lafLQBtjmY2n56vuxvJIXLl6utG+w6xYmSdu/4idMaonu6WOHnchbVG3AR/5qd/JoRzA+HUSNGhrFjxoY1a9aE1YqnLVlRYjlj7frdBFfu6aayWR2Sk22pgL582y7F4NaZFEBGLxLQTJ48PdBtF2D3e+H+fJ1lmpIFiskCCVx77W1EMHz99Wz/87amvV0WNupp6grBtPB3AbjCIInn3CqNdab0x0JQy4OOLuSwwzYP2Vq7bn34+NPPxFwvhvqGJo0YuzZ89Mln5pU39qt9/RxuIn6jh+7buy/88R/8YfjBm2+KRZ4Le/fsDe/8/G39/n5oaGh46jg/Prv0c3M+8szu3rM/rF63KeyWXFF7tVGZvCrlxNpmjHqiYnT3KzaX+/Lj/Fz+myWT//a/p2WyQH9ZIIFrb1newPG1kG/W6zqx+Z8D2Ewz326hQzDNHJ/ZHyAl7Grnzp1h4oSJNsKrN+fzSNrBcwE8HAtIXZZzaNLUqRpeeoWFNqFt0sNp2vQZ0mLbkkg7WPkSMNyxfXv4+h//v2HB3Hl2Ffb/7JNPw9d+53fUzfZYBDhd51kT5yN7F+DOyADoqSdOnQ2NLa3qxno2LFi41PTVRYoUOHnqZL7y4LhnTX6fz9on/S1ZoC8skMC1t6xsYFnAVI19RsBs01mzzDau551eOYB+7TW2t50L9glDnDhxYigvL88DZmz/P5u9OfgQQXBKAxeOGj0m7DtwwHo7lW7dbsPErFu3zrJq+b7OirnuDfWSmq6eUH/0b/6fsG/3HgP2gwcOhp/8+CfhR+pqmwXmNtMCiJoFjJyT85HUG+10ndIElihelZyztVcbFGZ1PCxesswGVlyujg7EtPp9sExTssBAsUAC1157UwUOKbtOR9tyN/AUc+38xmB8BwSIo0ePtggAQC87ORhlt2XXHeAAwlmzZ0t/HW2B+tVXrhqwffLJkHBE+WABwQisMf8A16lVONfbb/0s/Kvf/5dhnWJM6RH2y3ffC4MGDQrHFeDfdu0coNqFAVXOofM9fiLd9HrYpZFXyQ1w8NAR01YrLlUpzGq79baaMBEZ4KBGFbht5+Me0pQsMNAskMC1F9+YhVe5pqrrRLaacVplr90NcIW1jh8/Xt1A9+XBpzuszsEVkN6zZ0/48U9+GjZv2WI9tQ4cPBAmKanL0mUrDNyy4Mr68ePHw59+85vGVJEl5ksa+PZffit88Kv3Q2NjYx6QjamKrTrYsuR6ly9fVjfWPQbisFT03vMXLonBbgrjJ0zWiAHjw44du3SeeGzWRGk9WWAgWSCBay+/rRi/6k3/ToCVe+gGuJLx6oP33w9tOVm7B0QOrjBRzrFm7Vqx4DFKqn1egfqXxSg3qbPBVLHLPQaIdEQgegBwhK3+3td+V+FSWwxICe2aJYfab/zTfxbW629+bh4pAmtkrPfu39PIAGdM40UKQGut0Qi1+w8cDvMXLLFBAxcrB0JFRUW7WF3Ok6ZkgYFogQSuA/CtAXBzFdeKUysyy+5pkRH02lglSbVHjhodlimcip5Q585dDHPnLAxDPhueH3MLICY/7NgxY8LX/+3XLQSMbdwDiWH+2a//07Bk8eIIriYBcH51Y5W2y6CB5FZdrvNvKd0ayGR1RUlXyMc6bfpMSQHjFc61xpKxRPmge88zAF9huuVXwAIJXAfgSx4rlnnixIlcsuvn1yMNZNX8BiDLyspthNg9e/cL5FoElMvDm2/+UE30HQbg9O46evRo+Jtv/7WFXCEBMB9WF1XCsP7qW9/SECsV1t0WwGeOMsAV01c3bFCYlcAU8EYGoJPAxElTLcvVATnEyOjVxnQTuA7AzzLdcoEFErgWGKQYfjqz9Hvx37H76s4wfNgwizcl/OpFJj/vExxVtTVhnMK6xo2fqKb6Qemfk8IPvv9DA1QY6rVrLcpCtTJ88xvfCL94+22BcVkgqmD69OnhM8XL7pV2y/mQDwDWhwrZulRZKRmgRPNKiwZgoMTjCvlartCrkaPGaZSEmTaigB2nY1i2Taxnf7vM0H5b2/5pLVmguCyQwLUI3oeDnN+K/84uASz00eVKhL1g4ULlAKDJ3T5KwI/vzpJr0PX04aP74fzFC2H02LHh3fd+Fd566+cainu0NeNvqGsr85EjR8LmzZtDucK/du/erR5T2+XVF9Ntbs6xTg+zum3xrhs2bg4bN22WlnvBGCtpDmfNXaCk1tO1fUuoqqpqd1z7+wZEYeVt8oXbo/1+6VeyQHFaIIFrEbyXzkDDt7N8LDCtlqd98ODBpn0CrmzPTr5/dlun6xyaO1zwpXM9NkfS8ZMnwvDhI8J3vvOGsdixSupyXNm1ODcMF0B/rHAqQqr4bRIA9+eMVekNL1y4EKbJyUUPK5JcX62rt7GuJk+eFsaOmxh2yFFGjlmO9XsufJZ4c+3BtdNnSX9IFihCCyRw7ceX4vjmAJO/FYGVb2MJoBF+tVwJV95Qnlaa4DBJ38ePK/zt2ztc+sVzf+RYwO7xY8DxfPjgw8Hhw0GDpYtOUX//5aFOOQceCTjp3RXnx+GRRgh4pOFXAH6ORba4VFllGa0+F4iSs6BaCV5I0D15ygxFBSy2ZCz37kVg7Qnm3eGzpY3JAkVggQSu/fgSHN+eAkXAVY4mC4ESaJEsZcP6DeGf/8Zvhl//J79mY2KdOnUqskn9vacmB1iut0OpCd/5xS/C1Gkz1NFgrkaN3agcsHWW9IXogkYlfCEKAN0XYKVbLGkAFy5aYklgfvKTtwyYFyxcEsaMHW+5C+oyva04Jk3JAi+zBRK49uPb7RRcdU/8DXCF3eHNnz9vXvhP/qP/OPwP/91/H/7iz//c0vzxt54GKQdYEmsPGz5c7PUjabyLLWPWQg0Zg4OK/v4lJf9/e/cCrtlY/g8cUZRzkXNJUVQ6KpUUOaRSqNTPqXKMnIlIwhA5DqUMhjAopRymGaFROWSYDpRDB0oUhX9X9c+//9X1f/7r88wss2bN++79vnv23rP3WvdzXe/1rne9zzrdz1rfdT/3/b3v+5p0880zCu7q/dkphcMq4krfq7/7vWyz3bso6T1hwpdyORaat3MtP44TLSTQZAkEuI6B0a1rruVv3wBUiZarrroqrfbiVdIrX7FuOu9rX88gtaBsgU6XXh7bFP+OIgLsoIMOSfvtd0A67LAj0klFWZUf3DQjXTblyqydXjj5kqQqgKiqCyd/I0dZCRA4swjLnVikL7xh+o2ZyiVNYAmqnY4Z60ICTZRAgOsYHNUS4HwDJVNu3vl3b/qu9Pa3vDX96JZb8nq2zwVt5bHK/ZTHxExA7N933/3TPvt8Jn3xixPS8RNOSpdefkWRi+DMAjzPLkJYv5MpW6rKSmKNu6oI4iVFSOyDRbRXCaj1Y5THiu+QQJMlEOC6EEcX+CDa0xI7fXjUrae5YgocWORLff8223Ts22n7wdYB7Srwlcu2u7tIqHL66WcWWujZ6ZBDDivA9bjCdvqVtM+n90sHHXxIOuDAg9LBRU6CUwswnTp1Ws5sdeppZ+Tw1r9latZsEwDNW9RVlVK1EEUehw4JjJoEAlxHTdTzH0hUEjL+tGnT0vSiAusNxaf8tpx/F44kZH2hpbvtumvapkj1p8/0YpuyT9mv+ruX5TuLaX/VtDBbaxUw8FShhU4tbKjT06+KSrFHHnl04qC6/MqrCs30tKy5TjjxS+noo48pggguyo6rffc7sKBunZv+d5FDQCDB/yu4swzHJWBXwdW6aCGBpksgwHUhjTCAYYucMmVKEal0Qa7cetHkyemiCwvvvO/KR1XXyRdcmCadN6kod3Je7mtdtc9QlqcWCVtozqCuBEEBBVgB6Fcz75qVbi9S/x133InplC+fkQ485LPpiCM/l/bee58ixeCEdEXBBDhv0gWZtnXqaWdl08ATRRrDDK601XnAdbagy+MsJLHHYUMCoyaBANdRE/W8BwIypU1yYX1noCtOay64zk608tAfHs5AeW9RcfX6IifA5MJx9dOZd6d99z8gffx/dspa7EWFI+u4wg677377F+A6IU2bflPBEriuqI5wew4wCBCdd7zjV/skEOC6kMa8BB/AWlKqOoHsQP916t/vuvI8Zn9znv2fwhTw6/Tt7343/bqoxPrtXILle1nLnlaYI7AAzj77nCJF4TlFievzC4bA94usVucWWu7PCgbBRUWqwknZAVfudyGJNw4bEljoEghwXUhDsNDBJ6urc80B5fkwE9xTBCh8q6itJcnKVVddXQQGfDM70coILRUMfluUZWEzvvfeewtu65XpoYceKpKxnJNUMfi//+lcnnshiToOGxJYKBIIcF0oYp8Lagvp8PMdtgRXDi7ZrK745rfSHXfOzMECwmBnzZqVy1+jaEmQ/fT/ejrdVyTtnjLl8vTDGT/K25xx5sQc4iq6zP6ihQTaLIEA1zaP/pxrL4GVSQF3Vh6Biy+5JPNWb7xpRhGldWLhuLqwMBfcl7Nd3VMkd5n1s5+l715zTa6/ddPNM3JiFlSt3xW1sMr9BcDGzdVmCQS4tnn0B7n2Rx99NB188MFpvfXWS1dfffV8vdHIXvGKV6T/KcJx7yuAN1pIICQwVwIBrnNlEUs1CQS41gQSP0MCfUggwLUPYbWta4Br20Y8rnc4JRDgOpzSbNi+AlwbNqBxOaMqgQDXURX3+DpYgOv4Gq8427ElgQDXsTUeY+psAlzH1HDEyYwzCQS4jrMBG83TDXAdTWnHsZomgQDXpo3oMF5PgOswCjN21ToJBLi2bsh7v+AA195lFT1DAnUJBLjWJRK/n5VAgOuzooiFkEDfEghw7Vtk7dkgwLU9Yx1XOvwSCHAdfpk2Zo8Bro0ZyriQhSCBANeFIPTxcsgA1/EyUnGeY1ECAa5jcVTGyDkFuI6RgYjTGJcSCHDtcdgkkf73v//dY+9mdAtwHXgcVeUdjvLmAx8l/h2vEghwHWTk/lLkNv1uUfLk2GOPTUcddVRR2mRSAjptaAGunUf5nnvuyYUiP/e5zxXFG49LN9xwQ+tevJ0lE2urEghwrUqjtvyHP/yhKFtyUnrNa16TllhiifSiF70oLbXUUunAAw9Mjz32WK13834GuM47prTUW2+9Ne27775p6aWXTiuvvHJafvnl05vf/Oaidti5uULDvFvErzZLIMC1y+grZXLiiSemtddeO6211lpp++23T3vssUcG2lVWWSUdeeSRjddgA1znvTl+VdQW++QnP5nvide//vUZZCUKX2211dLqq69elBq/IsrbzCuyVv8KcO0w/Cquyry/+eabp5e+9KXp9NNPn1036umn02WXXZY23XTTtNJKK6WvfvWrHbZuzqoA17lj+XQx9qecckp62ctelt7znveknxVlbv7xj3+kBx98MB1xxBHJC3frrbdOd911VwDsXLG1einAtcPw//a3v03vfe970zrrrJNtaqqdls0DdcIJJ6QNNtgglzfxkDW1VlSAaznqKU2ePDm9+tWvTptsskm6+OKLc/nw8l+Aussuu2TzwGc/+9lcCbf8L77bK4EA19rYq35KO1Ub6v3vf3+68847az1SeuCBB9Juu+2WbW6HHHJIUtiviS3AdfaoPvHEE+nTn/50Ng/RUmmx9XbjjTdmrZYZ6fbbb6//Hb9bKIEA19qgA84dd9wxrbvuuum0005LSkl3al/72teyrc1U8De/+U2nLuN+XYDr7CG87rrr0sYbb5y1ViDaqf35z39Ou+66a3rlK1+ZzjzzzPT3v/+9U7dY1yIJBLjWBvs73/lOBlYP02233Vb7d+7Pn//85+ljH/tYWn/99fPD1ETtNcA15ek/W+uaa66Zdt999/TMM8/MvQkqS3jQKHvssT7Tpk2r/BuLbZRAgGtl1J988snMEHjTm96UDjvssAG1D2CKprXsssumD37wgwkftmktwDVlh9WnPvWprLV+/etfHzBo4Pe//33aaaed0qqrrpqdX027H+J6+pNAgGtFXhwT2267bQKuvWge11xzTXrDG96QNttsszRr1qzKnpqx2HZwpY1+4xvfyM7NvffeO9vaBxpZL1wmgQ033DBzob2so7VXAgGulbH/wQ9+kJ1UwBWwDNYefvjhtNdee6V3vvOdacqUKfN4kAfbdjz833ZwxQzhsOSkYhroZhKojuX06dPz/WA2M5BZqbpNLDdTAgGuc8ZV9M0FF1yQPb6I4hwUg7V//etfmQNLexUG+be//W2wTcbV/20HV4Ek73vf+3J03kUXXdTT2KHtsbmut9566dvf/nZP20SnZkogwHXOuAJGuQO23HLLPLXrRLfpdAswDQiBxIttWkhs28H1vvvuy4Ekb3vb23oyE7k/mBK22WabtOiii6aJEyc2lqbX6VmIdfNKIMB1jjwk4zDF32GHHdL111+fRGn10m6++ebMf5R/4JFHHullk3HTp+3g+r3vfS9tscUWiUMLO6SXxnRw0EEH5YgtAQVMC9HaKYEA1znjfu2116btttsue3sBba9NkAFAfve7351+/OMf97rZuOjXdnDFDhDqLI9Er84p5qVLLrkkz2T22WefJPlPtHZKIMB1zrgLCnjta1+btddeHySbmjrSVJgFLr/88kbdRf2A6/3339+oaxc8cuihhyYJWuSW6KfdcccdOaBg5513jmitfgTXsL4BrnMG9PDDD0+LL754OuCAA/rKFfDHP/4xffGLX8yhsueff36jbGz9gKvItiY1nFWBJNJMXnjhhX1dmheuDGof/ehH+zIx9XWQ6DzmJRDgOmeI9t9//7TIIovkDEf9jBoN56yzzsrgeuqppyYMgqY0DrqDDz44e75lCas39mY5GKTdkx2qSc31SNQiSESuiX7aQw89lF/SmAZ4spxc0dongQDXOWP+mc98Jj9IJ598cl93gYxYzAEeJNov7mtTWpvBVe5WwQBrrLFGEhLdT3vqqafS5z//+fTWt741mxTaVh6oH1k1uW+A65zRlfVI7tah5GjlVZZBi/bbJA2uzeAqlSR7KxbI1KlT+8IATq0vfelLOS3l8ccfn9TaitY+CQS4zhlz4Y0yYamR1W/DdQWu7LVNypDVZnC9++67c2jzRhttlETu9dtkVJMh6wtf+EKAa7/Ca0j/ANc5A4k2I8wRa6DfFuDaPJurXBE0V9F3veSZqN4zTEVf/vKXc8a0Y4vClqG5VqXTnuUA1zljzea64oorJk6pftu3vvWtbHOVSYszoymtzZorrjNqnrIuUgn20wQOYJAoXMiGH+Daj/Sa0zfAdc5YquiKLQAg+2mSIp999tkZXBU07DVstp9jLKy+bQZX5p03vvGN6YUvfGH2+PczBuh5uM/CYOslYfrZT/Qd3xIIcJ0zfhMmTEgrrLBCDiLoh06l3pb69R4k9tomJc1uM7hK3KMuFqqZl2c/jTNMyKxk6uy1Tbon+pFD2/sGuM65A6688sqczUiy436ijUTjyIKEcI732aTWZnBVS01u1re//e2ZVtXrjMR2wFiylz333DMJRojWTgkEuM4Zd4CKjsXrf+mll/YcDICm8+IXvzi94x3vaBTHlVjaDK6u/4Ybbkjvete7cvKWGTNmWDVoEzAg7PU5z3lOzrIW9tZBRdbYDgGuc4YW0VuKuJe//OW5VlIvuVmZD/AZTR0B8+OPP96oG6Xt4CoYYKuttkqLLbZYksSllyZkWBIfzjlexlwAABsOSURBVNFec8D2st/oM/4kEOBaGbObbropA+Vb3vKWdMsttwyqvf7oRz9K22+/fZ4CSozclDBHVCKt7eDq5cnBuc4662QH1S9/+cvK3TL/olBoIMwRphIBk1G09kogwLUy9rQOCbM32GCDnHoQ5xVoolpVP1dddVW64oor0ic+8YmcKNuDZNsmtrbmFjCWHFEzZ87MuRNwXtH1jLvxr94Plt0n55xzTi5kKNkL5khTXrZNvK9H45oCXGtS/uY3v5m119VWWy0XHpQzQDrB6gczYOutt04veclLshlB4pameoTbDK5uDQApT8CSSy6ZXvWqV2VWiPGv3g+WrVNLbZVVVsn3Tb/c2NptGD8bIIEA19ogyhOw/vrr59DFfffdNz9YkiVXP0cccUTOI4Ak7iPzUVNb28HVuAplfe5zn5uZA+4D1Lvq/eC3e0LtNclePvzhD6cbb7yxqbdEXFePEghwrQlKBqTSZvaTn/wkay4K1VU/aDm4jHJ2ynzUb77P2iHH9M8A15RDWVdaaaW03377ZfOPCKzq/fDPf/4zF6ekrX7gAx9IH/rQh/oOmR3TN0Gc3JAkEOBaExvbmdLa+K4Dlejg9FF2GbiqGtvUFuA6G1xN92mnMl51a+pscXCywfebj6DbPmP9+JVAgGtt7EpwlQB6IAI4T7KQ2QDXZibLrt4WkrAAVwUHB3JS3XXXXVlrDXCtSq+9ywGutbHvFVxNBQNcm1uJoHpbBLhWpRHLvUogwLUmqQDXeQVSmgU6eb9/+MMfZmZFE8u8VKUQ4FqVRiz3KoEA15qkAlznCuQvf/nLszW0OpU6UUq8rKH1u9/9bu6GDVsKcG3YgI7S5QS41gTdJHAtI61ql9jzTxm/EOfXW2+9dN5552WPeLmxVIvI88BV9qc777yzsYEUAa7lqMd3PxIIcK1JazyD61//+td02223JVxdTVYnmfCVGvExxUd2lz9BzLyco/4/7rjjcpjncsstl3Pa8ngfc8wxub+sUNbvsMMO2aFT7otzhznAf7idcitgT0h8s/rqq2civd/274MzrB6V/5ScxhO1L8eRWPqUU07JVXTlPwXatGLhpGOhBbiOhVEYf+cQ4Fobs/EIrnKPAiMgJTvXUkstla9K2jvJnpWIRi9TsgTAqe1knd84vT7COwVPiEKSgb/sLxS4XKd/+dFfP//Z7nWve918+9envn/Htp39OIbtcEhpx/4TGef8bSuEVHy+l8bCbAGuC1P64/fYAa61sRtP4PrMM89kTZXWCKTQwiSd2XTTTfNVCccEVv4/99xz01e+8pX8sazKrVj46sf6sp+cpP7Tr1xX7WvZ/ur76rSu3K6+L7kbhJYCVuYFGjQzhJBjwOt6gLA+gyVNqQ3jsP4McB1WcbZmZwGutaEeL+AqSuiyyy7LibqVBH/+85+fI4iuu+66Z+t4mcovuuii6aSTTqpd5dj5ef3112eNFYgyAzz55JM5deO1116bTQn4pbRjoaW08wW1Iw/lygNchyK12CbAtXYPjAdwBaw0RtqdirW0vauvvnq+iDLTahma2FYHIr/XRDBqPwVicJTJz7DXXnvNd1x1rIyH/KhrrLFGtvt6eYx2C3AdbYk343gBrrVxHA/gKnOX6b/KpBxC9957b+0qZv+UPZ+5YJNNNslaX8dOC3GliCaZ/tlXpfHr1nBsOcoA7I477piZCd36jsT6ANeRkGrz9xngWhvjsQ6upsbCK02Vjz766AGdPZKLACPsAFosTXGsNLWmaK2cWWysf/rTnxJ6V7cmic6WW26ZS+pgPaiwOlotwHW0JN2s4wS41sZzLIMrVgBKEweQafQvfvGLec6ePRI3VYUETZIRyZ3lnqUhstGOlaYqqjyotOrzzz8/qTV18sknJ9P+e+65JwkvrjdlU2jitHbOsdGqTxXgWh+J+N2LBAJca1Iaq+AqGbe8sRtttFGmW9XDUf0vHFVJZ553U24NAHFosb1uu+226cEHHxwws1NNHCPy84knnsjpGpdeeul5ao8BWjxY1XS9FNiWq02dMy8I5hByAMKj0QJcR0PKzTtGgGttTMcquP7qV7/KAQB4p8CyWkDRFFv9L2VncEVRsapaKhCSi9S2tNi77767dtWj9/ORRx7JWjeGg6TSzBxlU+wRfYyTznly2gHUaqOZ77PPPll7RdEaKC1kdbsFWQ5wXRDptXfbANfa2I9FcGUrVfhOoTw21Pvuu2+es3744YdztBRO60c+8pFcEro0DejIXECrta0y4Lvttls2KYx2aRrBACK7AOvmm2+eOOa8GMrm/1//+teZ3aA09WabbZbzov73v/8tu+RyOq6FaYCDayBH2LMbLeBCgOsCCrClmwe41gZ+LILr/fffnzPcA5NJkybNQ6v6z3/+k22VAEtoq9BXoFl3+KBiSeBMW7QfYa1TpkxJth/pBtxvuOGGZz3+zvOSSy7p6sBS5WH33XfP5g1cXVp7tXnZCJ9dYYUVshZLGx7JFuA6ktJt7r4DXGtjO9bAldY2efLkPKWnydUjldCw2ChptYBX1JZW1fbKS7Ru6tSpadddd81hsVtssUWaOHFinpqPlHOICUIklnwCAh1M92msgx2Psw6LYNVVV80vj7r9VaIYBSLXXXfd7AQrr3EkvgNcR0Kqzd9ngGttjMcauAIRWadMo1GXqnQl9kbF8WihQlxNqXtpAPqEE07InnqgzNGlCN/tt9+eaIHVY/Syv2ofWqUy48ARqJZUMHkOJHKZUXBvyxdAdbv6sj4XFewAzithsDfffPM8XZ566qlsY0ZJY2oYydLmAa7ziD5+9CiBANeaoOQtFfkk49NDDz1U+3fuT44WkU8e/JEsUMjW+rznPS9P+etlZ2655Zas0UqOYtrdT2goTRB4uU4RUPZBC8Q2oM2iStE6ATYQf+yxxxJAA55oUpZRw4AxG7C+7LxeAPvvv3+OupIcBgPg4x//eJKrQH7YfhpzCAoZBgGeblV7da2AGueX5j6SttdTTz21pzIvZLDddtvlczIe0dotgQDX2vgDV+GYQEf4ZbcGZIArjcy0fSQaB8+hhx6a1lprrXTUUUfNYx81rZYkxX/A6/HHH+/7FNhh0aLYaXng2WJNw9lvOb7E9fPei+t3rRMmTEhnnHFGOv300zPYHX744WnvvffO4Kw/upfzsR/bSl0IwIHwYGaATiePpyv9IOeVFwBGRLV5wZHPiiuumG2w1f+Gcxk7o6yhNVCBwhJcAWyA63COwPjcV6PBFXhIBuLB9iAO9DENpVmh/0jLp0QymhCHT3U7/WhuM2fOzFxNfEuaDQ3O8ap9uy3bfjCwoZkBlk0LWpXIpO9///vZUVXeZj/96U+zg8jxgftg+yu36/bNAXbrrbdmLi0gR/AXPWVaLqUg0PXbtw8w9ZtZQR+pDTfeeOMMwmeddVZmJzzwwAMdbb/dzqHTepQztmHOK1pxXTu//PLLM/hiSdSDKjrtz/jRgLuNTblePx+zF7XSvDiYXrwoyv/KvsZdNJyXFGcd2aHC+V/fsl+3by9q19nJTt7pGmLd+JBAo8FVZiXAZOpIi1JPHmhylHT6eDCAlXyiNBV2TvbITn098IBl2WWXzWnxOGq67VtcvGOXZZc9pBxLAzUPIo84oj27ZV0zlcbPsYEvEBuu5mUCQGjtbLM89xJwX3PNNZnYj9xffkzF2UIFLOhrGi+MFdAMVwNOtGUzBCYL5aurjclC4hr8XqWvO0V2lf3RvuzLWNEuyyl8p/G1zrjpKyhjkUUWyWHE1ncbZ2PhpbPyyitnO7jtu+3bPhzfPYHBIRdvnWJXnnd8j08JNBpcxaO7wRdbbLH8cMiaX+Y9ZWMsEz9Xv4GrhNMeZrbX6n/VZdvT1PS1Taf9WcfE4MNT7gFdcsklMxe1W7KV8jaihZnu06JVFKhSpmhTpuMvKbzliPTV/8rtm/JNUwX0e+65Zx47s4S6hme2YWyNA9twt2ZKz0wh14Kx8MENZjc3RtXxLZeNof+ZR3yX6zt9u1/cNz6D7Y8jrjwHWvHxxx8/ok65bjKJ9SMngUaDK7EBMZqrh8/01ZTX9E0MO812JD/lMQAC546HifPFMQcj8HMAySFAW6sX/2MuALq051mzZo3c3TGG9kweL3jBC/IMoK4ZM98AP/KSenEguyiwBsYycdkfhxmnIbNLOV4jeU+YsdD4MSfYir1svThCax1DN9swnUrjwZU9zM1sesfrDqx6pSwNh4xpmaZ8a665ZvZ6m85Xo5I6HYNN0Hkus8wy2XFU7UNLVXvKf3vsscd8Wly1b5OWgZ9ZAtqZ5WpjV6fBs/uiZQ1mf+YoNBtg1sGQALZ1s0t1/8O97GXASUhrdl/eeOONw32I2N8YkEDjwZWMASwHg6mcKZgYfPxR9ryRakBQkhSEfbHyHDLoRIMd05TXw8YmRzOtJmihdYlWwmQAMqa4A2lpI3VtC2O/qF9SDbJBe6nUubiS2rCV02B70QLZapWVYU8FsGY0xmuwF9+CXDs7ulmHmZQXAZMDhkGTzToLIq/xvm0rwNUgAVgBAhxLNBbghWIzEN1qqIOLj4quJKKKp71MqzeQs6U8Fpsh2hP6kUTYVW6oh5PGxbbI5lrnvZb7aOo3DdPYcTzWbdaS0wi28NIRWmu8B2sYEhxcEtow23A+OUYv4zTYvuv/Oz9aNbstqhtnlpdoW16OdXm04XdrwNVg0krc0LTJ5ZdfPmssPM20iYeL5CcL2tCxUIOwAdhE2fSAoDpRgLGXRnviGOFxtl21sTUCEM4xIFt37FT7NnEZK2HnnXfODBByrk7/aX+AEXjJedvrS/Ppp5/OY+ali31B9scWpcCZHqqZx4YiTzMNbAu5Z91zOMAq3+Lm9kIbG8oxY5uxI4FWgWspdlqExMy4kW54ntuddtope2zRjNhkcQ8HazQcfU3dTfl32WWXPM0EjFgKnDB16tBA+6TFAHrT1K222mq+fKV4qLRhnmjOl7Y1LyhAxcyCSYEyVm0A6yUFg8J4lvlsq/8PtCzaTUgwu+4SSyyRQZajiemAk8wsYbB7wstOgUUcZGYKQRZmSBxXKFruDy8FL+FozZdAK8HVsNJiPQQy+qNUeWCR4k0raT5i7QGtMFAPntBOH8s+TAynnHJK7gvwsBHsw/YeyrrTpZdbiaZ0wAEHZM4ms0LVK+7BFiHFXEDzGQ5Nu5dzGmt9yN4LkbnFS7LaOA9xk4XLsrH3a8v0srz44ouzk8kLjMNp8cUXz3Zc3n1jgmki5WH9nhA9ZlvOSxm9aKhswKVZSD7dfgG/em2xPP4k0FpwLYfK1NJDKsmImHgp7mgbuIoeUlooG5kP8CyjkZgV2D5NJ30Aqn3QngbTcMpj17+BNx4u+189fBJJ3wPPAVNNhF3fR9N/mykwuwiHZQaomgbKfAkCR3jj+5k1VOVm/CSx8YLdrch9ywFlJsIB5QUsvLe8J9wP7hP3A9AH7mXQymGHHZbTOnoRDubIrB4/lpshgdaDazmM7GPsb7y3V155ZQZLZHPcSdxUnnu0GQ+Zhwln1TTPlJEGzJttH0NtprzAAv+SXVHG/bLRsuU8EIXEmQNo29pol8Jg8VOxJuraoJcbGXF8XXDBBQskJtN8U3hAi0InbaLIPS9VAO6e8CL22/1Q8qiZiZwHsF+Qe2KBTj42XugSCHDtMATATLy+GHHTdER9RH4fWq5pH412OJ1K5X5pzAr2Vb3IbIumpbRWpoE6DanDJTR6FVltWoSasmUy3VSbl5SXE7Djna/Ksdqv32XMAvZXJiDlaLzg3A9MEYDX8TjTcFgHCxDp99jRf3xKIMC1y7jRSGklyldXbXeWMQw4KIYz1SAzAEoQLaieKwDtCJ1LwhSx/G3Xhmiv7M64wwC0HgBgXGiRpuc0yOFoTAXyunI0iuiqUr0APHBlbwf80UICJBDg2uU+ENXFBCB5StWxZKonPR/bm+npcDSAzVliKsvBVqcA8TwzFwCLOr9zOI4/3vZhus6BxMZJLnfcccc8lyBAANB5Aap6MBzNbAHDhDkAY6F6T7CBA1eO0bqZYjiOHfsYnxIIcO0ybqMJruy8eJC0IgT4qvNDpimmCSYK1C623WgpJ2hh82QDNS2vTv/JD78YuAoVrjq9hiq7ANehSq692wW4dhn70QRXjiz2VKkF60laUL7QeoBrvVBfl1NvxWqAKW+scFd5GKoJbEoHILMOPuxw2EEDXFtxWw3rRQa4dhHnaIGr6SVqkagr8e3VxjGCDuQ/Tpqq7bfar63LorDIhWmAE7DamG+YdNDapPOrzgaq/XpdDnDtVVLRr5RAgGspidr3aIErQjpzAHtdNUmL0+HYwp/Fr2TnC3CtDVLxUx4GaftEQ9XDgZkLEPklo0azW5AGXLEEwua6IFJs17YBrl3G23RcIg/Z7WlBZSsdWrJrLahDy/RVHDsWAHpXNZwTI8D+hXLKVj9cXu/yOpryPWXKlBzwIZRZHH+1ySOBo8x0UM/TUO3Xy7KwVmOF60xLrgaKhEOrFwm2r0+Aa5cxV9YEWwC/VBG/sgFXNZWERqLkLEgTr84uKNqHs6raHEfIJOB1DnKWRptfAsrKYG+gsKFKVRPkkKE8r15Qou/qLIz599Z9jW3R8ti+LypSPVadZAGu3eXW5n8CXLuMPqqPtHCoUVX6E44lGx4nE2pO1UvdZVcdV7MBikUXNMDpUo+6UrfKdJbmJWIsiOkdxZg5v9IGSraC4C8RdrV5SbK7yuUrkm6oTSpI4ayiv9C7zDrKdumllz4bRFDXnss+8d0+CQS4dhlzybRNNYU8StJRNpqR6brYdg/bULUhWpUEMSK9OK2qpHTHUjZbUAFzgeigaN0lIABDNiyhyuqmVV9E4vrlGaC9SrTDdjqUJu+Dl53ZTPV+sC/RfHiuTAaOFy0kQAIBrl3uA0R0sesio9hfy8Zpwn5nOq+iwVDoUR5+8eri45kE5A2oNlqRbPvywUplGG1gCYj/59hiQjGrqJoGzCykcfQSo8HiDQ+lednJ98osUJ3J2BdnI0YH84SZTbSQAAkEuHa5DziUdisyInFcebCqDRfVfxwloqeqmlK1X7dlSVmE0GIIsAmyG5YNsNLElPT2ICuWF21wCRgHmanIrA6gTC6m82YCgLDqjBp8z7N7yCtg/16o1fEy45DvQcCCdINVW2yv+45+zZRAgOsA4+pBMt3jJa42DxROqnpOtJWq/a3ar9uyvAUya8lyVQ+XZNtj55V60MNaLfPSbX+xPuUgAuHBkqfUo9wAHicUShuAnTZtWl8iM4thWjAm6F3V8ca1FcQggxqAD7pcX6JtdOcA1y7DS3OdOHFiLtcilLKePR4FyIMqhn369Old9jL/alpVWVKEzbZuA0S5Mn2V8amN1Qbml1hva4CaFIPK69BS60UKMT6kiFQYEPtCNqteG5uqRDCci/UcsWyxEpiz6db/63X/0a+ZEghwHWBcaZUcWpsW6e147KskdWCL4E8Dpb32Uq6blsOJpcw2AJg5c+Y8R0d0R/dB82IWqAPEPJ3jx3wSEHThZce+yqNfHS+2Vy8r/6uTxblVnd7Pt7M5K5hoSrqc2UpVM2UOkiCdM02egypPudv+Yn17JBDgOsBYs80JIpAchIOpHuXDsYX+4+HCfaXF1L3+dm8/UgWq0yVNHuBEEarTuExXaV5Kg4gQq04/BzjN+GuOBGinHIA4r/I0cBpWG7A1G6FlqlPG+eUF12nMsEBEzHmxAmucY46sarpHmio2Bzqd6C0MkGghgVICAa6lJLp8y9WJIynssU7BAX7MAyhAAJbNT2ABjZNm6+OBRN3yAAJWmpPpax042fVMV9lh2XrbVja7i/j7Xo29gZ8sJFZugTrgibRijvHCNNU3M2Gj5aQ0XmhvuKrAktkHsGJ1dKqJJuEOE46KvHUGQd8nHhs0TgIBroMM6aOPPpoOPvjgXDeJGaAeKYV6w6MPWE03MQiAMcClgbLH4cRyhqB2KXBX91abak6aNClnxqIpCSCINjQJ0E69zOR6JfNOoCjQQEJtY6MumTETFGLMACrNVxVYDjBJdWjAdRYAE4/gD3l9acDRQgJ1CQS41iXS4TceKi80zqsHtw6wpoocUTQZ9lcP5WKLLZaWWWaZrPUIvRSNxZlVtQM6lN/KLdNoZXcSwlkH3w6nFKsGkACGBUI/6hRzTSetkklGwAEzgZmClI/GDPXOC852+LEPdwgK8ML1omVaoLXWk3UPcGrxV4skEODaw2Czv0nWYepvGshUUAdJu6HdmJbKH6okt8QhtFCOlroZoDwsrdfDDIjZ9UbLKeKFULUflufThG+OJiYcdlfOQTSqBx98sOOleZF5MerPeSXs2ZjRTDs198IxxxyTaXi0W3bZfnnOnfYb65ongQDXHscU/1S1AHZT3mPJOmgwQ21yC3BaMScst9xyWcMFxtGGXwJsq+zZQLPbS66Xo7LL4jxvuOGG2eyAcVB3cvayn+jTDgkEuPYxzjRQU3z2PBoskj+tp+40GWiXQJXDi3mBvY82LKUg9kAnbXigfcV/vUlA1Bbe8A477JBfihxX/TSldTBBmAqYDUTWyQfRD1e2n+NF32ZIIMC1z3Fkg+Pk4LRae+21s7NKSCVOLI9/J1oPc4HteKHZXtnpcF2BK1MAM0K0kZMA0wu2B42TFos+ZTovLNaMpJN5xJgJU+bMOumkk7JN3LYStygvEzkERm68mrLnANchjKQHy8OpggAzAbueB49tD9BOnTo1O0vY8bADhExygPBIo/agAQk+4ExhWgiNdQiD0Mcm5Ctg4IQTTsgMDvKXCwC7g7nAC4+NnINrxowZmf1x5pln5qxoZin6G2dOMi/COnOgj1OJri2SQIDrEAebE4MXmqOLJorGw1RAO8JVtYzWw6NMS/UwA1aADFRvvfXWecozD/E0YrM+JMA+CkAlYTEOxsWLUWYygQXYGuhbxsysxHrgKkkPJ2Y9IUwfh46uLZRAgOsCDjobKkeHKaZkzLRWgQUcXj6WPZjWyxHLC12teb+Ah4/NhyABPFfsAdFZQmJR4YyVEGdhs8YM/Q4Qs6kz99Sj6YZw2NikZRIIcG3ZgMflhgRCAqMjgQDX0ZFzHCUkEBJomQQCXFs24HG5IYGQwOhIIMB1dOQcRwkJhARaJoEA15YNeFxuSCAkMDoSCHAdHTnHUUICIYGWSSDAtWUDHpcbEggJjI4EAlxHR85xlJBASKBlEghwbdmAx+WGBEICoyOB/w9+qvMXnVIytAAAAABJRU5ErkJggg==)
350 GPa
320 GPa
200 GPa
405 GPa
124 GPa
Um balão pneumático utilizado em freios de automóveis quando totalmente cheio de ar apresenta um diâmetro de 200 mm conforme a figura abaixo. Ao acionar o freio a pressão interna do reservatório faz com que o diâmetro dele alcance 230 mm. Para a condição citada anteriormente determine a deformação média da borracha.
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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MNqwYlWOKY76oCebIlyUqFlnvUU0C9oUDrdY9ygGMFKXJyeGP6zje+kird/akNabKkJAsA5vJ6OCIg2N0RU03jgGWlsyvAs7M0kTrtgOoVLBSUqWoh2VaVOJFC29l9awLd7jiTWVX8VAk1PA4wA8DqgifR36qN7ShXkG6ZfBsfjueJ8ZEw++IFIF5LRz+OOQh0vDVAeJzk2vGvy/YOcTtv/7R0svO26ve8gu95IOtkFmIkOtFVqx6IGf5J9hjYPDSWurrdYQvLgg0b0juYFDv66KPTwsVLAOB2fp2pglpgAeZYvUx4tQN66mi7uzvZuLuLe7Y+BJQ9ombTpk0A7DiqAbY7JKnV69ancWa16uhzN21Yn9qRVkdQD6x7YE265ldXpX//+lcBa+xqYR/NylyQIIZ3dXWkfffbG8DlIRx5xzE1Ftf5/Kclyc7n2t/Dyr4nSbMhoaJTLaGTTZPjaZ+9F3NfYdg+mfZTimUkP47N1qEHLkptE0OAHmZcwxtSV9tA2Ly2A65jmzeldvaH9efZXtXJMYCUia0KixQmUSmMIOViWTCGmVetNpYGh1AdgIlOXlWxBasgpU6Mrk8dAP2iXpQKoxvSMUfsK64y0YaU2sDTSSTnsDQgv4G48JVqijJmXtnNb6BtgeweBjTzvTiPNqAt8juz3kIqVypU/QEQslEL+IUVAXpWZcRxXk8iQipFnvSSl6aVq1Yx8z8Sy2lLDNXrpXvQ43bFcL+EVcF4m3arqB5YWFDWDItTE9qws1XXqoQ7qa0sWDjiH/SpkwB4GdBEIAZoR1N/f3/6rVNfGWeGobZF/9uQZMlHCUAniQBdJWS1EgGw5r0BxDPLN5+eW+qC+VTb86isjxbVwbZA1qrym7P/m5nY+sM/ekO65vqbUg0ptAbYlthomz+xN4EmW67qssxOYqlL9TfOpFYvABoSJ5NVYCHfmQATEetIw/wTkEdGRoiL/QjUwbYhEzODVUeaLaMLHh1nVVhjyD+OuZYbvzi5FSoGJ9EA5wn8PP0pj09f+/LnUpfCK2ZfSsTa+LYmvloTX/Jyy7Uo8LBRQGCczQmw4FwY/bsv7HC1nn771a9JPQuWpLEaZlm9A6gPyqgCOlMPk1yd2L1WR0fSQH9PLKXtw2a2Dem3C/2rCxb019FZTj0oaLtB2wrScRuAOoGJVphkoWfdPDSYhpFgEW4jLk26qqWONIIJ1yiTYaPobr2aZ/W5Q0ObkXYn032r7kwbOLIGzI8duzpB9Sp+290HYfbizVbkPfYd/U3LtSiw51FgexLio6m0o5hshQPYqgDvqLtpM/M/jL50UsUsyLYJcBzD5rW9k2E7CtOwc2UpbQVbVSfHJlELaDVQRQr1jK9anIbgN2xjCcd62DTOxFdbe0/4ZcQf+xtUMAVzzwOXylYMw4cyEvOGzRtYcTaoWIwknSfQauhtXbdQ6GrVCYcOQWF2nruWTnaeM8CeXPwCaL0+2pzSokJub08nU1oMukGvm359feoeWIz1QHcqsy/BOIpRj4sRLrvR1TpEbwf0OrEM8HBFzbNcCltDx9rWyQKFzo7UUwEoUQ1UsFhQHVAHXDcNDQVYu/eBCx/GhoeYQBtPmzduxNIAm1jiGUNVUEXNMIGe1v0NRjHh8gjxWIyAFcKiPqwWyK9WB6J33W+oFVqupS5o8cAeToFHM9C6T2voQwGtvRb1pfO/dyHPLoF1Jy0AVJ2tE02gsZNNrvBS6lRn6g5bG9duTL37HBQbyWiiJRhX6uykhbTLFgaht53kvSqArp6BNIzUXGITmPoEOtq196ZDjzoClcBwgOrYGOEA8irWCS54MK0u7HLVB7uBzSHPenZqJ58ufLB3aAHsdMNqTXxN06J1t4dSQKnw0SLNFvkMAAWwwK3QvbrPgNsJVpBSFczHmWzqQOepblSpNA/lmdZyUguo+5fPfj598O8+lv747e9J7X2LU++CxbG3wdL+rrRkYU/qw65VuqxbvykNcnT4uo2DaYTlsOvWb0zr1qxKV1x0Xjr329/AxCtrFCuNK8oBJFX3NhhnUUN7gG6Irrzr7e1FQ4AVAxvICLRx73K1ee5a6oJ5zgDzofgC1qMFaM2nzqvwNsEsFJJQ6sRG1ndKo9rO9nbRdJEmEU3xlfW0nPuFDSzvCXj4wQeldfffn8HXJblMjrWjYqgAzNrbtrM4oeLuXF3ocNmdSzOxMjrdtvYR9jAYTfvtt0/q7mKjmcBY6Cey45SUQ/GqxGu+mFCbctLZpbTkU9+uGmu5lrqgxQPzhAKPJqBtrhJNsXQZermCXiVPM4gTDfxQfMkSpvsOlBjCL2X1lzqE0fFq6kYloJoBCAz/AdYBhEr4vmPhLBNbk+h4BUdNupYsXuy8VsMpT7uXV07Lv/rzSBslaF0Yj+XoFXSnsxVf5/efliQ7v+u/VfpHOAUao/QANYVJoc7jXlAccI+tgCDLs288X6sEsPpqn332UacAYI6lBbwIKEQCLmxohUXl0oBOLBQMr+mW74eYCFt26L4xkZbJg79IBgD3ykt/rlvIEXPNfUF88SQyZe7spj40nuffpQWy86/O522JH63SbFFhAlxgVxz5IiwCfqoMeK906hsXC3Agd1q699KQZIcGh3kLiArE+p1yhEXCzZIsFgjENcl3gof969Ily0JSFVxNIIDV6Bvh48ozAvCUC68hM/tqy7SmPM3DmxbIzsNKn89FfrQBrTavAmghKjaETZ4bkMZQv5Aa3Z8gDjVkCK/pV/fAQCw0yOEbtY4fnWqHtlgKNh2375V0R1hksGjBwgDZRjJ+mgJY78HneM65KHLjFz+YBgmEKsJ389u1QHZ+1/+8LP2jCWgLgBTMCimyudIKgHVQXgeMY3mt4ihOG9pBJFlVCvEm9LgAYKHPxZ9SrpvDmE5OizO8UBfswzlfIYwWKEp8gfVczUdOgZvZHMA/ndnt+pwt9B73rgWye1yVtgq0R1GgAZiWSZBrGp2HCsD9AbIqALgU3ARFfm7gsvfifdmmcCi+5/BNiOmLcKocCILyV0lYPe/g4KZ0wP77ZjBWNaEzqOiKnxxLlogLuFW3q2vAedy3/mQK7J5uZrYueFfXwIw0Zzzu6tSn4zfhbf2mfbXudjMFCml2Nye7c8nNZNpmPiImJU+FUqVRjRAKCA34AxsPPOTQNB4n1boDFxpbwhcWApZflwEaiOSj2oM4sZaNZfbaC0k2POTLln8LgPVt830TqxNX1uduGXI+Pu0GkLUSmn+ZzM38MvPe/rT4TX/Lb7aIK/NJRFj4m3rwhpfFe3NQ3G/vGuGb/mzP746+5WhIOXRUzTRo3BfDtyb6TJe8KG9TZmbcFg1lxustH2dmcsuvWz/trP+tY3jUvHlUAK28gYF/MC+U9VY0LaqpkCvlsWp1JDhJL+54sPeBj0kbN6zGdnYSe1dgNuLJpxzIXayYjb0I3Bi8zp61bZOjqQdLg1GODB8YYFNwUXsmQkTCxCULx0etHGZ6yoBv8JbbmoSPCJqoZyr+aZxS/Jstc3bI2uV5nbrXY+NFhPWb/xpXbuN51mtEYnD9NyL1Pjzv3DWHl9UKbpUZG7+wieE+hoMFk27raoFabldQ4BENtDFJBZqxb4E8rmuc6hL3smcZ8XMCW1hdxU1Z4pTYzHF7Y2GgOdXoIKfJslTWTV5KROQ2hW704qRaDXCtYPBaYkPvTt5VRzalXvY4cPlsicUKka5syj+PoglWjtRaf+ZKgd2gky2AY65Zyv6mesEGc+W3AXWNiIzX5+wzet3ii9ioAsvxEU4DFKwLucotXAPYtnENxnZQBXM36cMinkZeGtEW0W/zapgqjcBg5rIoU8558VRks3huvhLScmzDFZMi2/icX287+OzBdtb/7LG03v6mKACzqScV7NrQubqMVoC0mkrxzFEw7qLNvq7yiqDrogJPqF3M8TOr77k73bXittSxZiMg3JGWLujFwnYyDSzoJ442jq8ZjI1m1gDEk6z8qnIcTYlTDS6++OKQbk8++cWAMqcpkEYsjADZXYDQzHvmpdE0mkodoi7PD679N0X0qL/dDSALjXbQcItKar5uTdmisqy84t64qd5ZlD++ysYt+Oc+2DLQ0QehefZreC5gMfzntPDdiGfnrjJfc46Nx+fInx8j/1zDka8pUI0Uiw+t6y6kQCHNxshjF6bzYKM2X2V21ZJdBFgVsW5t2MluXC4+kJdcnAD68Y0DFVnOyrmInFrD/gas/lq9mr1e121mq8OUbuN7F3vKVjlypt2DGNEtuEVhtQ3zL6TaHvY+OP64p6YvfPFLIem+GJBVQg6Qd3KMAG1usYgbZ9OYDpbqznQtzt2SIrt8gxgZo9nNWgF68kNx9daxULzKIabDzYxRX2iYpjzknYimo2oCZL3utHto4WVOpezmWWEKN5WLvHv81ONWN2Eszttp8N3Ky3ZfTKeUvTXW/mwzzEz92hRZtxliz/kgjQu+e2SUKuvllWUnONxQEO1sd4/XPJSfZMnVJCoA9o5hq0N4BMBsKwOWAOx4fGNhASP8g494YjrxRS9Nz3jms9jEpZsls4vS0oW9qYezZRYOLEKSnUhrhzalEfaJfemznxj9PnvGkBZWCqM1NpPh4JoxdurihfSJTWkA/ezyteCzaX5RlNAV/vLTfPy7eyTZbVG2qBm/F/ehBOI5aitX2XTF6bF4ygHsWbMrKpWo8CJjhrzaBGgNjzu8FCmoLqiHNLvDINv2gPoh2KwoX+FzKl85tebP04BqyKKczVJuEUnr+pukgADyyAJapVe5mD1dkSLz6io35QZvEUs/9U//ki7+5XVs/NIHMIKK6F3LtVFUBhyiyM6utUpPGqV5lDt72F1rA1skTqS+jqVpBK9u4l1nksuhv7t5lcc4DhyRFixNH/37j6eb7lkZvNeJDe2Tjjkynf6Ot8VJDaojiv0UYpetYt3vb7Ii9rC4dks3Mw1/DeoFbvi2+SdYskGFABm40wAfQLfGECaWBMIQBTYV/uzrbRwhgTQA2nORjE14y/687viXe10Zu/GLvCglP9gfEgc5idwoZvBjkzh+6tgoF78qOjaZu4bk4W+yxkYdcfVeemU6ePdQnLFsGVMz7SOhiH5rfw8l1VbYh0oB5w/ki8JNoG8tM8z3d/4Pfoy4uSBNdPanca73jdTSF//tP9LXvnN+amNz7xrvu/oXpd6BhRG8o6sHCRd9KjtwjThZBmDGPghI8MarhKr0euGPfsIZ4v2c893P/gSV9KOfXAz4wqMwh03XjmiCybNCbWDkLb4JEs/6Z7dIsgWLWBFRS4JrFtC4Nm6iAvU5PZOqdyGpDaRsqPqjMgXQ8BcXtoDj6sSWgFrCeFrTFGEjGEI/c3WRQeIi4PRE2hYD/bnG1PDHbC53RfmjpL6gM/BffPF8ZXxMqWJ5Py3J8uWhJE/Mc3NFDufme0/29UiTZuWFUMNCdNUAnnagm1SRCtB2L1ySOhfuFTwzJtNzCkLiGJmFez+G88Ha0eGW0xFHHJk2rFuL9OsZC8aj9NoZYRREPb5bO1nVARoQSIOeBYtS3wAgu66cLr/0ovR/zvib1IWu95CDDkiv+YPfS51YINQFbA10W267FNgtICtzTNWFs/folKZeuEoFYAmpDYaK3hIgsrI5HYPjL4BXhyj44hKYrMAaQMuzu8KPcEb8KMsHFy9emD72Dx9P553/vTRMGvb2wYzbIYHAPNPFXNTUezn3wTmlkDaPV6ZByMQ2mEkmHCoU5JjHPTZ99CN/T6fgscvl1M3ZHVWGgFVtFZlMEIQ9jG58rJqPGDFszCzTiTSuc8mVxYh+rCiPKhAbh5MYRSPRA/GHNUXDX408xyTLXBLZw/w8ooDWvrhRJ0UbKvI3acNi8muyzBE01meF87vht6qtpaOH+kNlgL51//33TyvvuA2rAU41ILoy9R2LFHoBYdRtbijDGYtpeBzeNDmkjEWLlnCeGLqDhkXD/exNe8eKW9NVfd3pjW94XRpmf4MeNukGsgOUnTso1CdUmjoAACAASURBVAi83KYz77pmQWKbnveQD7sFZAVH+cRjKjwDntpvkC/3gm5MXGGX9dEs1AWA/urGW9LPfn5Z+uU1V6frr78+3Xn7XcE0XSjrxyeq7ABfRRfVwbBlGNPAahrZtBEtUznts99+6TEHH5L6MFfJEq9pk57gDsA0X92FCLUUznwIpjOvfnsoro1Z3DbsDskzgOkacucLatgkXv/rFen5J52cfvdVr0ivftXvpBe+8AVxZLM73p/0whPTJ878h9Tf08cMcmfYJ7ojvlKJ8ahD0xWNbXs5LPBzyo91ofiCm2q/bnUXzE9n59EmkZagPn+BtqBXAQrFs9dmgJjt+7b8Fu+3FaY53sKv/Jp3ynJSzrdwNTdqam1THukd7ck6VIqVx+VjhkDqXNvK9bT3vvvGRjFdWAnEkYpYEnR3YZkAP5qXCuhdxVLANuCe31WOBB+P0VY59fX1pwfWrEsXX3Jp6ue4mb7enlAtdLMvQs5HpofmZLqibPbZs7lZyzibxz3o3S4HWWk9CbCGbZ9dcYP4NXRAE9j2tdPjyjAbRyY5tricLrvy1+l9Hzgj3btyVdr7MQenvQ8+ND3+uS9Ny0/maAsqXyNpwUbcrDHM6aLXveX6a9MP/vObqYNetr29Oz1w/zqU/igQcuKN6iogZcsr2lG+63HL99PPjeAP5hKgznlIMLt5Hh0ZYkf7zpAC2rFj3EzHcMbffjh99P+dGfR54+v/iM05BtO6tWtTJwA7yMxuN42kg8ZhuZUUCoCda3aC3BaNxuRWdubDxxr3xjeBxB9Hi9Aq9BvHmzCscBjoMHW+OsGiAKECOGajxc6CxvbiKtKcTkfBIO/C5cJYKyisQ8ibKrQyAFyBP8p0mtaex9CoU6jw4+jENCHfYY3gCQjDw8Ppil9elvoW7RVndC3u7wQ0u9IAeloBccMwJ96ODqZ2pNl1GzeljYwMl+y1TxrC/Ouoo45KHzzj/6Sbb7g2XXD+ebQxO2XAXp4hLzrzHvm3jcdzXLwrboKeUw9+adC4+d2eeL/LQVZCBigGmEFChzj0vtX6BEdXsEvQ6ARHYHDw22Q5/d8z/iH90+e/lF72O69KT3zm89M4SvfJrj561RLDf4yuAWHb/Ti6JYxasn4Kk5V6uSsd87SnA0jldMtNN6fFS5cwavI0T0AcsFXHWvS0RSWaL50zsdt1IRls18d2PgL0NAbNtDwTyV2RJslTb99AWrvm/jgS5DnPOzHdcduKtHLVPXEKaW1oBGHEI5qZ08B0ZpKORSf46VQV6GzcOxqeRRmRSAq92RTAEl5JhbYSkpApqIJBacc7dNw0lDxzHGI+H+anK0Cg4JWZV6mysyC705QUAbdyWf3UJpgyTKygK6WVxT2SCAclItRQh5PyNuHHJwbjSJmhzRvTIPzFx7QKawR1tLYNeasKaNYReq766U/TRpbVlhgJenptmaujp1//+tdp7QMPBDC6OKEMuKuqK3irOYvK2aqi5M+io/J7Qc9mv/PhfgcI89BJoJI9gyxtGIBoa8zkCD4eP1zm5Mub77w/vf3096Yhnl972tt42R2zmuqWxkpdMAuVRTzqba24siYngCtznDDQEODUmW65+TZ673p6/nOfk3r7+9KEEpvSbAOktlWSurqM7bli+LU9P9v7pm6YPOtqqDm8VRpVqr311lvTj394YTrgoIM4LZQ805FU8VD3tFH9oz7p4blZRVDQ0vi2p5stAAFhBu7GggEUrfmT/pTJQ/kgF3FPRCNzb9EqqoKYFMGAvUYjtBFlFYqpzU9XAIN0KWj6UCixI1DeMg3HeNSZFYWU6tUaCY6lLj2GRpOqDvgc1onlsaoT1LNWeFelDQigHEKbli5dmt79Z6dTnVlF4Miok2PCXWbrEd/tHKwoyPYBwH/y1nfT+cIDpKQt7T2rVqVrrrs2PbD63ih6njhjzwJoAlEa5MiAK8D63XkUAV5XAG1Rth3RoBHhHnPZ5SBbgILrnuMewoeS3FktAOeSn12Vfuf3/jAtf/5J6YlPPC5VehamwXEqCnSYBAxcP90Og7VzVafppFQNKXjSNdrBWOiZAIU+Nhle3NOVzj3/AiRbgLivF3bDPz18CUARU7ac0Mp1WFS837flnMCSlfSyc1eNyAjVGKZPAmg1kFO98gjbybXD5E95xjOj41iHyqOnvz8NsgPSTTffmr7xH+emww7cPy07cO908P4cJYKTeQVWj3z2vqBtfNzmHzdyJgsMLcF46IYEQ2GlmcNCTxgdQVLpQr9dZubalUB1pG2Hodkp5+ZOYptJzJMPM8GhAI9dVfxY/u2EKfVVa+g8TStjF0BGFakiUBUX6gPP+XbESF2XUTGpppJPuuG3dWsfSJ/5x4/DP4wc6eSr8KTTIyVGiXFPt95NmHaY5Y47V6TjAOce9LblsXLaxFLbSy65JI2PDHIszaHwb0fw8dRICqCN9mXe+Fe8r6qKolOXTjNpl8sx3eiKduh73Wz+85dH399dDrKSxM7OmX5dAAUV6RnuGkW/9y//Mj3jhGenY598POqBzgDY5FBfqZXKaW8DnAUpGKeEf/WsHTBVlsgqqQvwFXgOPuSQdM+KO9ITn3J8OvElL0nj+HG401bqiCGREqtDI8PrikotGGLbIJuZOZiI8Dt7VQ8q0CoZdjAU18pA/djmDRvSV84+O93Hkcy//+rfTb++9bawRezo6k03XnN9+v/+6v+kDXfcysRDOV14wXfTcccdF8xb5Le45tJs+bcom29ldCVXJZqaNICmVSqkSuNbcdfd6bDDDmMyo6FaIX/dTNLZ+tw0pOUyBaSnjV7enel2BAbNdWHYIq6Z8RTftn6fTRTjO39UC+TJrYnIU4zEECpkzLxfBx2xPI4KoQ2QbSfvnYyGqiOb009+gP0soocjo0nLA8h2slBhcHAw5ke6MTHo4xTajWs2E47OnDYnn01wsOKdd9zNSGw0HXXEEdNZtGETT1Empdgx5lraBXh8KeAUo60d0Wk60j3vbreALPXQ5NCRkuowguiFl/w8rR8cTy8/8SVpE7qDCuCK2j5V6Z092thNiCuKYQCF4FTucOwLw6B3EgIEjnp1OKSwqy77OSYlfWkpRxlfd+MNaVS9FMAe7QKQ2crBQLO5Ld7KZICk2Te9nb0av6eAymBqk5Vi7XG8d3HFE5YvT9dcfWU68xMfT11swNHJRMSaDRvTQY97QjrxBSeBkOPprpuvTh/8yFnp37/2JbaiU92Se3lHA1OMOzNzptugeYWjnnNDp3lNsAM+QGokkzTMlUys/ezHV6RTXvystAjppuYQEvqWFZG4mlcbka5IIh5m/dNMOemdn+lOw3cjO7OG3ObLHSe6zaC/qQ8BIORDsAjAyacNNqLnQ2N20KzOdJLROiq+FdeZ/qaeG7QuaGXUYF2E55IpGpHITwBYSWmVLjzCwVdRbzlN8+r4q43OvZt2s3CgJ73lTa+HhyZC8jWsTauGUfmll16Kyq2envWMp7NirC194p//NS1ewIS0C2gYcXYtWJKOPfrIdBOjrbe89W2oH5hP4azwmPxytElaxnXvfWvSbVgBjTJic/+EKpNoz11+fLRdR6SWJEvnuUyyl1oF4ynKHMXTJzdRLttu8XGKUM038lnmsea3j6T7XQ6yVcFOoJFFJCp3VRAAjUD6yw98OL3s99+YNk7AiExw2SDbQWBHqlGBTsRQCyWafvTSDbBU0V8BAMuoDboY9rbDOIcffkiYOjmseQw6zjqRKDkGkyO+xhAJELGx+G6iyuYWAFtdRW+Aaa6WKUk3cirIwhjkXdCSh3fmSib4zzn3NIiYJDBd9F8O8++6++60ibXizzj+qaE/u+zyX0Qn0o3JDIsj02TP4pA4DnrK89J3vvb5dPX1N6Xjjn1s2NGa/zJSP9kx61s6Xvp9+rVgTGPihfIFkJs2UeZN0HBFrTt9/aa705XVX6e3nXxUOrwTehBb7LAfEVjoqDYkHUx9iKitkeA0yOPRFkFjDvAmoTITd0KCFgx1RhI6mwFRZWciDefqt6gj6WxGrePcwrjyn/hsxMXVSH71q2tTd7eWJKaTyzuO4lG6FioUvy/mWOv2RpkaycVFiauBRzlN3qrvzB8zvfJ9wx/5qiKhjSIIOJG6eu2G9IMfXZiuuOLKdMONN6V1m4YYNTEBhbol7LKllcVAONDmtHDyd+7wTE+KWNRcbjWuU8+N+5iUojPERxquOsFFDbqxC0HLqMuuufWOdNTzX5E6kT7bEDzAPXoDq6FCXddTL5loQ1nbVnKxgSNC9pV1ohiaYikLl6l7Z2SIbXaHgM1+tHbK1mUZMy8STBNtHSxM2Cc97wUnp8t/9rNUZhVYCbrX8ZMB0nxXYuT5H/91fvrIWZ9mVHk4m4KNphuuuTzdeOXPOGVhL+g3Fvm3jLUqghKqDdtauyM9exI6C216WfAYdaiKJMjAJUvuhsRtxfCZbvljpmm+f+T83eUgWwJgg6nzrJUtwv/pBxf+NPUMLEkLMBPZNMaQhkYxMZ57NI31bejBn1aAjYxABWMGKSG2+qMOKrgbiXVsdCiN0cP+8R+/IS0lTs1RulnB4tD8l7+8Ml1zzTXEYSPMRv0VOHWSYVMsErAdFOARdWN6vOJ9M1ztdLUBGHWYdBGrck5Y/ox04P4HIMVnYBhmCHbZFZdhC3xJesITHm8RI28ynp2QqpQya9JHsKk97JinpG/+93npKccsiyzYaclamQ7cTLfjWbOohYKmPB2oaCaYcOvqGQh/qwdraV33/ukn9wyl8nlXpD8/9alJ83IULDF6KNFIQ4KjoTvBYjIOmW2kbdA8J4tf8iz9AkAAf1fpTYyNMsLoasBFbi/mtwC3CMPzJAswygC+z7kDJG7qPpx14L2gi5vAOH4Me87jn/509PdPTLfddltcR0fRI5Mnh71r1qwJPfOC/oF02WWX5TxF6PxHSw+zW6RfEC+nyN/42Aggo8p/whEd8sYhpyNTeubzX5Se+tSnpsMOPyKd8srXpM5el59iEYJ+KmgAX5bY0cpOwzIJab5XCA51GcXxGXzhm+XNekzhVAlUidSwPrvRdkd7V6oyy++7LgL1sIvW6NC69Il/+jyhFWAw2AJI1RrgKdpOJw9OGEtLlhxE2MibaZC2fskdaYQyi3e2rqhh/GJ5Qtganda4el0AeOGSvdKTn/Gs9MOfXJye/7ynU4/QBiEoT5ARD37rSL1HHvsUVHZPTWVGYZs3YUpJWuMAbgfzDzUwYP2a9el/vO0dWA2xHJhOqLM0ihlZe/r0J/4x9WCCaXsLXS75LjnkbQhWQfhH6Z9dDrLSRVk0atU6lLlghG9/+9vpmGOOyRImB7f1qa9U6nBIjStTsZoTFDyvFBCSTnwNH/jhO6gkY65cuZK4utInP/GJNLBwMeFUuifMTtamk1/22+lv/vbvYls28CkkICVKV1uV6VFlOkGimOAyx4VEO5Xcg7kRZGHGO1fcns78h4+l+8jjwkWLAbnutHb9umhonXQE119zbYCEUpgzvubNMuncc+GgQw5L5553Qfq/f3l6vFdClDCR7YJA4VkC46CvDkr7EABLEw+9W0dPB5JyBuhN64fTKJLmGMx96eo705d/fkd6xzMOSWhl0ZkzovDKnyKeaMPmi5/6bvNATsLZ0IUjU7a+7SCQS7gT1HJ+9NvI4dQNMhPmRZrjlZGyTJE48WgyXk3Be2Oo0IhHAO/x8ZH0P97yP9JHPvKR9IEzPhBgu2HDpuCB8797bvDVnXfeGeXOIGk8hZvKQSMPjecGzcKXhA1nRkyZSUP47xP/9Nn0lBN/J1154TfTX3/444AEvAPfbh4ZBRC6UpkVVONIbIJVmaH28BDvUQEpLRbg6lWwDZAVqJAkpFCdQlLVcRWUrX/bSafSJGFqjogAfPlyEqm0G9DHLiSW0JbwU663Z0mRMIJ0Ox2X9rOp5kiCDFCRkyTgT8EiSMt97OlBjhVvBOxJR1+0vTalYzpSR4A10nXfg+e/4KT04wt/SGzvCbtt60zayIjqf0fowCtMoHb39CIVl9MQk7ht8Ldls1XXqd9hOvyfX3FdetErXpNKCBx33HRVuuLKq9NkpTuNsnCnFsIO6YsHhLHirYHCBQ4UD1PX8Dn19Ei72eUgW7BrFJzKcMKF2mPI96v0h6c9h2GG+18KRjKGs+b4hCs1KXLZoBKUDrZtgKwx5ndhjE1cMt4JJ5yQ1q5dnxYs3Te94pWvjl50HAnnX7/0lfRHr3tDhC1j6hVKf5i7gp7KdLVfheeIMtiOm0aFRRI2lwdfgcarzHnEY49Mb33729IH/vwv0hvf+Ma0ZMmSdP+aB9LH/+7D6RVvfF06/vjjsRH+ANKDjDrCULiLoSf3o9r5Al9IhOq7hlhi24sUU8PUCsGmIAM33pN/89zo+UPuhDBjtOgxznnq7kfagXGVoOvMNnfit0QjqGByME6cJYa6P0BHfurjDkmuzuwjflb6Av4CRgaCCaSq0BPSOP/t3/89XX7lNTROdG+UUyC0Qxl34gO6tgMy1VEUH3Zi0VKsP0c1ua7NsnXurPexRz8uvffd78TKwdiyFNchukM749UVapZo1DyPM2y2QxoDcLOKgJGNVhcMY7XeGGUDagEtjr22fu0C4sqt16AVV/mreM9jOIAqhtR0ZqZbYXLo9ntXp7M++Zn0oY99PPX81Rnpj15wbPrMudfAyszC95IedVKF1tJ4Eol7YoxJB+Ke4L1AFuZz5EfTOcsd4gNJC052ivyPdxr310yfPPkbVxIWjKFpAC9CiOZ4A5gpKkUKgkq6Ze1jJRZpWG5n9SeIRwmzTZ4wDgttxx//Mgksr+0nSGImGk5rHucTalS4wo1bHR148GHpgbVfAwzl6wjh8CPr+QkXi2bIm5PSFdplO8vDR+CvMvmbBKgnEZomKW83+yIs3Hv/UDsMrFlNJ3JjMJCCa0XhquFskVa/KTW7RsqNVw0GafbwCLufLtFuyph6JXs1h3ahUwNYFy/uRVlOZQQf0KhlDBgmm2xl8LNXL8ssgkkDSMpUWBuKeplAdcDixUvTKYCtQ8aB3s70cxT6z3nu8+GIrGusKhnLODBhmXdDNATzUICs6ongxUjHyrVnlQMfXEWqv9RkxgQe97jHpf0OPTjdcsstWAz0BdC+6X++I33nu99OlzOsrTDc7EB6WIwp2ihAaGdQiSW1Hg+ClEJD/+klv0gved4JThzbloIDI2dkUdKFK25oOTH8VtqYbM8ADdNr1eEGTDJqeeO69IQl+6d7B9elxx95YOobLKeLfnhBOuzkFwCS0Ax/Fj/vHUEjp6Er70xAxx9d9NP0i6uuTz0Ll0Ij6rRhoucQb3Rwc1p55y3pqU98Ag2STswmCdAoqtmgC+ca+qHBDek//vNbYSZ0+p++Pe27N7tH0VBVC6jaUReqfj54RUmO+DqRslfecUca3bwprdBIns51/fr1rPRbS54n0roH7o+rQ+UYGVF/8o9JC1zN16hwXppm1Dh8FyAIfWtkthPAlk/+9UtfTc8/6YWpq28BwJF5Uj7avHlzAJ36zjo0oMZhUeVzwBk+nqAzAGH4n9Upk6Rj/IVrp27NWfEveJ68Smn5Wq+a243XRuAP6sRl5Niz1siXKgk5W2FD9Vp0NgRwLwLvBXStRDjiK/qSqPVoP7Yh8mHl4qgVUptWKdgeVNm5+Zd6ZevBRQk1Os5u1DArV9+fHveYvSnvENKomn7ySV4ifeIUZKtc1eOXBVr4pZMOgZ4gDSM48Eg4NrrhnZK1qdtBdRKm5ObhjmZZIqytr5TK1I6sBuh6V1CwiZ2yh6m/RagH13anovkN3OxykJ0igtwy9cAmw+hgZSJ/vUhuk5NDYQsryWPihUoOvWyjkMgIuaHGcyZcBS4og2ELFw6ExCG4fhTpcNnjjmWz4cHkphZ/9IY3RQMNicI8wACdSIajo8Ox4qpKo4xs0RAd7lp7UYH8qcltDVTQzjTUCTtxVd/WzpCtZhqUUz3iD390YayeeWDtmrRx1eq010H7p3JP7ihsfEomYSQeyA/J6Ei0X13KngyfZv/QU048gUZM04IE2jdG59NgRSXJ6IRkRRhcCXMzf+o0UiweAzTcJ6KDlXNttP0/fd1vpXUoYT/0qf9M+5T3Tb//suPTXvBmF0wOZjBUJRquVdUXNIgQlOg0qtCEaNLTlj87LT7gEFQHxAfQCuqug9+8fk36BY3zZae+Ohpcje82OukqOaUFTZr6nUz3rrg1hMwrrr4uveS3fjt95Uv/yiTmoXQqNEKc0k3o5rknenT3i9I7/+y96TPn/DP7PbwwXfD9nzBq2YTEiISHJNzJBOoll16W3vb2t9CZkCKdKe3YmPxD2nGJOjc/kSf+ePVb8IB5pRw20wfYh1Wg+NwXv5z+9mP/CPrQiaDn/8S3L09v+60npQ/+y3+nn111Zbr1lptiVZWdauxqRV3aIVmNpizwTUmwPBcu66FzO4j2QJ16NYxXiW6n1s5ilZGh4bQAW3Anuaoswlmx4l5wC6AF7Nsgkqv1sqNdUOdtFEb+C+EkSkx8ITAoXeMz8kidNEI1X4yrRtp26HXK1A5fmtd999s/XXfddYDsiYQjbhETqimRq85oB/w7sK/V+kB9unMSQG10tp0AtfuNqDrsRkW1aRjVCh3mIPa34ClxNDoME5UCUSmZfqYiTR6NrqiVXZ93GYYKVgKzgl1i2gPYDQIGEs8KUIfkMMPeXKY0SKkxfMiMUJA5X11J1cO2bhuwOT388MNDonnr6e9OPd192M/W0oU//lGAlno8zzeqMnSpwHxDI0pJzIjG8E7m2LL4hYogUiEPXgUHG/vOXVVHcEAdq9o0v9I985lPTyc+//mpt6c//fd//3e66upfphNYkPBf3/0OnU13up8zlybJp0wuw44rISL7789Q7YJvfpXh9VBagjmOwOHQWGnemJ24cMObwFnyKoOqRxxEFfDxT/1T+svXvyEsMkos1VXe6qIF7o8OcREc8HvLj00/veaG1Pacw1M/8S4wbtQoNXRkIZ0odRhnozkqVTp87O5mpyetQuouZGC6jHw7GVJhPwpsglIfe5mOI6lpLiSomrfcbmieEL0dZliweF/K2Z/e8CdvTjfecF165e+/Lu134H4s/xwK6biNeJTqTdO8jKH/jNVM7QvSpVfdxLss9VnHdspVAKHEgpb/+v5F6YKLTkadwLC9yTVLkcV9gB/M5tX8xZXMCpKdpDmMmubEk16K+XZfWreZSUL89kO7l7/pXel9f/Ky9NFPfS699y2viRGKHaS8rGQvLcxfs3PydaYLMG28FNqLfCFngF/EAf+MINHbNVkvLhypMyH62j95O/VIHivS0wU7BBDs+DliVEoUrwTlCAs/2PEj31JO4rPM+PGnLlbzyWIvAmndRnxOHmd5Eqme9rrPPvulFbfdHjyn9Y5llBmlfdGOrBFHolpajGEmWBogHmgy5sQ2fOpihjbUSN29ChR2/vA7E7NldM0BEOSQKMKJAbyMx9z15PePpr+7HGRlWp3gKtNEI/MK9ayIHrZqUyKzMh1+CapUV6ooSuFsmFs6qZ9roA3GcOtATXWu/cUv0j6HHp6++c1vBtiUa2MhyS476gnRQN2kxoaqxKO0qMRh+lZw9JKNjObqVEKUaXyS6UnSPPO8U1dKW3EWnrI4A+7uV1dccUW6/777UAlk4Ohmsu4Ln/1s6l20MBpkD5KKDbOfBQJjdEDmVf3K4r33xaB8LN12x51pyZOODloJXP4TGgIoSKdOR2a5tMBxldA9G4cAunJ6//v/d/r6P5+dHvvUo9I/MAn31Mc/mWEk4uxEOZ103JHp+xf/EusOJB+Sm0BX2wHAa30RS5ztIKi8mJnPXE9ZaL005rIKXJZBj9kxUJcd9ERjDOOjE6Uj7epgYx+AVqnIUyaCzOSzBHi4xn6Ymfme3gXszDfAopTnpW+f+710yFFPCsldIcn9Uzv4CQh2VupbaZ9UxmTqg1a6HjbdscydNF51kdaz/rJaKDOQ98UvaMWzkr821wU/OZRXWpMfdZQurCSUxCeYeFq7aTj0422YDl7ykwvTvXfcnNYx/F1MuhNMeEWHRBj5xVQhf9zzN/JvnA028zZc8BZ3DbIWAeKb9FZK1LRpgg7U87QcVfi60tEHXRgFMjMvXYJXoYEJGsq8COdKiOYjADUS4wGeLoC9uPJyyilMKAHX4UOoRNuE/o0y9DGppRWPIxwSgXSmxld0z9Hh0X7taOxA5d2XMel87JGHp6987hzyWUYQWgvN8wReGz2A8ducx+GHLm3QJFysppjKDjd2DE1OaXyLF03fHoG3uxxkC1rYCKL2G0SwcjWjUjJUagvpAW7QX9xDyGCMIoKZxAtJwxVhnQFgz3nJKWGuNUKEL3nxKQyjxsLIWntYh84Nbo8e3skumTAaYcHdjXQErXC8919sGC448NovO3M1hOmMIH31YlHgJMpjjzoyPQ898QNMZH0OcD2Fg+rejoH333/072FmgKG6PibkNOZ2R/w2GvckjHzQwYcmdpZJt9x+Rzp62aFsqEyDQw0hvexAOgGXTDeLSqNGktFG8ntIyzdd+6t06Ve/CicPof/9efrbM85Ir3nF77IRCJND3b1p5QQWB+Pl9IUvX5j+7KXHp8fuhWWAR5kQh41AQI1jeIw36ifre21EoZPjnSMKJfAKtOq0Y6DRLOREVOalaTN0hrwXurQbVdJqqyGZ0hAHuzH5ouNboG4XelXbmdDp3TuNltmZn6EkiIm6A7tPfmX0yRMAiqucYtKSGXYtEmq8b6d3qIO+LrZoI313YZN/nGwJupCuky91rj4r0QmyyodefUdfBj/mkYHPcRhhG/oU3tFFMlMOmNIpT2KT645WJzz9aakf4UDnCa8l9Z12RvzjgTjjIgWbWT/8S4uAJ7yCT5QjXoe+UrAyrB6c16B6uwAAIABJREFUgBvHQxf1pMmTHYh527BhfYzYNm7cmA5csh9ecxvKnWHmuw5o3kGegvIN/a3qJCczhU+dOlcRE/ahysbTACDqkurx4c1p4dJ9GA3hl05nKeeCrWHLw3333jvde/cKSRIma2QVgEVlQUc4huDQS312AbJt8LruiU98UlrB4qCPfewf0ve+d35MxrUjWCh8uI2nm0TZPFUbSP8So0vbjO1M50U9u3xGxnkBjugMpJvRfhtv+ZD9NaIJrw/Xn10Osg2S5PJRwUqpMrYSokMMlflKXDKOvymQpXIDQILbZiMPAEQczkLbAFesWAGjVNI73vPnwXyTo5tTP3sBCFwxZIORlUTdQ0H9YpGWEtEWzoYiwFuhhQtkleOpMhh3zlfCO1wNCRoxUeYZWLAg7bf/vmnZEUdE7N/42r/F8NLJMPPWiTpDacwZfSU051g6MW8ZGdnAMPqQdPc997LHQQZs7SsLp/wiqGhDG6BhQyKrF2AFQIY5obScNjKZVOmtpDX3r0lf//LX0j1sJ3kdQ7+xvn3Ss1//5+libJdfdtQ+6aD+w2jUpA1zdyDR6GRe44176sS4zacgV0XFY12pFOggD510EFoYuNN+G3mPGXWC2qGWUFOAc0FfY2a0SGPL0o+2BSX8u4NaHbC1QdVofIJsbPZDGbxvM0+Es7615XUyU3CxXn1W52daOdcZ4My/IB7l4F4ljKZwSqmWK6CIcskNtl/VVU56Gs8E92N0WLpugFYB/47bbksbV65Iv778kvTyk1+IDhm1CfpRU1Hwj70DIgTF4Gro4urrTFVpmgEWLDXb0JE0TQsiqQIICwKH1IQOoYNPSpJdgOFGRgzyjXylHth2IOioRrKkSqMVylhxeG7nSHxmxMU8E4xiskqBhKGf36XhKIVT+Nhn76VM+I0x0qQjpUBjbMG516KBVB1cmH7yPfXP5JswTlh1sxRc3r2PEZqn47o37QL2njXOfo6+0brgHqwzlh15NIOervS9S35JGx2AxlpBZIsi1edj8FsvdWwe5XuKZS0FDeIlxHJyMQOuRCyoKEUfuW6Xg6xFD36HWM1OhlG35sy1a+plNn363qsg6H0zGW3YhVOZrsTgoEhVwz0rbks97Ob+4Q9/mAaODnFiOK3nyI0jj3ochtuYKtE4TMuhjBJlAIZp5cyZIvW4ZXqmFYzp1fzbGezMlXBKWDluTamQgK74Zfr1jTfClMRHGRcuXJi++a1vcl0QeesB3NRzOQS0katDHmeSbgHgvOyxR6XLr7o63brinrTvXgMwsCco6EgBNPBnhyJIQD1kSCQQ7l796lelNcufGRYY/Zwe8azlz06dSHg3ko87Pv2ZYNajDsM8514mUmioFSYuxmhobdh+GlcmE9SGfhmqpJMmdwCpEoj15DeY3qH8GHkgF9mgnaudqfaP1mVJnSlxhnf9AHdoD0N6sjB52CvwAKzEJ4A4093hD/HJq4bySn7xjrQEE43v24nYNuqMukA+gYSmyoHUYngrfdy3QV4rOvWMnYAr5dVwHlk3yiwAGG7cq2BH3C4MmMB+CXU/+aeEmGkswBxp3X33pNe/5vfwhjRN3SlxkwS/3BlJjZByY3RmfqadtA0zMQHSeCUM/w2b1RtMQtq5IQxIi3XrNqSzzjorffO/vplW3H1fesXr/pS84JufUiUZCPrSbxEd+aYCFVZVhfjsngUe5R2So8gGTca4ttfpItGlj7IVohYimhIK5CMjrDbjFITLLrkoRhyHHHJwTFp/8G/+Pr3n3aenhf0dacPmsfQDpNRPfurT6eQ/OI25FiaXqQdz0DOwIHaW24DN8P777seez33w9HXwDYsToHkn9bwQi4UqqN2PDTcoSjDkcuoa7o96ygtS6LnoDOwnwhF/TZWfSByu+JCfcu01Pj3Ml90CsrOVUabtVEcKIe2tZXIbZrQ+AmSQtR/jFb989W92NF1ZiJlVJoiI5xhW4Lz1LW9LYzCkCxlKmLx8jx25rMhf/PzS9LyTXoiEgUTCBInnG8Xyx4jK5tBw5Ck4PFLzXa44edz7nb0aygYkyAoIFYZJxx33tHTqb7+cdwASDcvtH+/HyuDsz3w6gMVGIdssYAf6IW2tALIeDrWrs+RRM7CzP/TX6dKffD995qyPpJe/7OTcKE0BgLCsdkyWTenOBrzm3nvSUhj7MU96Ulg3OHRXAq0ND4XOzJ2XJpBs1AH39XPQHsNKh6Xaf+ZGTsnJu3GFIx3vpX03HUEPPzeHdnbZoa15HwXw1G36i71/Sc8aBOpsGUEPN/0RDVTd1EwT06QqCyOqqClQNUYjjU19BFXyIpCqIhB8lZ7V/apmcvOTfKW7BWXclUqANe8hlkoX/oW0yjvBq6BVAbT5mnnOYIa1k8pA6+iHBk6cwZ/ct9kJkp8F6JPVtXcz8x/7ZNiBAFCCtc56j4CNJ4fqWzn8ZqP+SAAaQh/KlIFZ2ucm6mKbT3/67PRf//Ud7MBfmT71yU+yLP1Dsgc/uAmaaJNsGgovqpuUvjtRM0DAdD8bEX32i/+mqUjUPwJk8GYnUqan2E5U705XXHNjWojN7yoW8AyiElnavzBoZb2tv+/edB/vL//ZJem97/2L9IMffI/FCS+JNMexh16GeeLJp7wU08me1I/lQH1kY/C3etdYuIKw4Ao0F1YoBMmDChAVGpUmf6qerJtgLjtkymXNqZeQijU6KDuRgsdDACvwdSuiPrJe7HKQhS7ZyXi0ziypwjzcu3cAA0vASzCFsaQmLSSYHjaz4Qa7816AE5j0432GIgAVppTwApbh1MF5lI3O4UrY3DVmqG1o7YICwCfz5u9bMn40DBPAabZFLFb1g3JCtOcs1dVPUd5ovDYqGGpKV8iz+VYvKaMpHfYxa69E18vkTZ18xuw6HYPmM91LlqYDHrN/mMIYX86dKaleERp0UI2adZnnJqSWDnS5TrBJo1EAwobY08cwDgPKKgDnbwnryzsGkFx5V6oQFxJm7P1LGhJcnAmQUb0CXQWyHvLUg51X1cTC8Z5vI4wsqqSjjawrypSWpKt7Amsbq1QGFFG/LL8F0P2NsvSy5uwya/I7Sd9Zc9VI0k+1gCoIgaOLuvUkB0HOZwElQBjp0bRNR/xWag0DeNPjnauWotFGeaR5ro9sH2vjbfCd2bNOCOVMu2Wuq2+lkQto2oMqQblseLKrkgYGBjikkJGRvNrgG9UQChGho5Yv5Vv+zerkZdKxjm0buePNe7wqFf/4hz9IX/ziF9Ott92SXsUim3/5p3OCV8rQGBJE56PdcA16uTrMWlLvHcvGoZ+KgxLzFnsdcGj63L9+PtRn7iMwyeRddLaMy92f2YknR08Mm9L//LP3MEzADpf3HQzvLevKu2/Hlpml6mw430+Zf/vUV6ZX/t4fxOKTCugHpKevfu0bSMns7wy9OpmD6CA+qkScjP4uzgQjj6ozuqlH678Neu6Pntfl1TXq0w4tRj7EGOBMRZA1hVjoRPGIUGz11no2/uxyKy2orDLxkeKK1rFr8yNFppywmRuj+hslWZfxyWiCQzEciGd6aJ1LZ52wEGA1VbLxOZT2ZFraYzCLG2Cfc845mTl4p+T3wH33p8OWLWOIREOkUh0aTjgLzr26pACp2erChGgw+SKQmR5XGtrOXLNul/wHJ1BuyqiN4caNG2IyLOxhSWoztpg2MJ8FChuPKhBgDsBTR+twuY0licOsAhuhPGSPuJTYaw75pI3SjKMCaUhcvGUV0jjmR4AspmHdTDDYqLqJmyYMgzJZgc5XLlX66qPhqLqwkTvGdp15Gw3XdAR6iaGOkBe5jgRK0nGrSfWb1p0twbTtLKTtyPhYbJ4OLEtBGp/R4Js6jCW3xOnG7W4WNEonEwSnHEp27Uy+CIvuwC+o2pDtgLxXmvW9w2e31RNklbxNI6CUtMHMAL3gI9L3WnRyoVohboFWPb1+/Z41OEKx7zPoxqjA8kFzdynTKqWDsltPXUh9zvi7aESeVJr0eHfrS4uSNvjMNHTGJ21mc3awz33uc0OnKf3db+OGG25Iv0I19L//7xnpTW98A3a/bw2hIxap4MdRgv70T1aibqSR+YzOjIR60MVaZv0Msn/x7bffjo0vm8BQT509nKnHfQzF8UsTC9rWWEG3aZP8SDmg92bA/8jHLkvv/bN3pLvvXZm+8JWvZ5Ub5XLRQReqJUchbgoUy3B7OpnkJV3AWjBXLx+qDtJwQkzgNr/tLCdshx52UjdfyzLbl/42G8nslw7Ya6+0N6C7kF8/qoa9mXw7cP/9uS5hlVsndU5EhPfQ0U7yJ5/L8zPd7JSe6Wv3PO9ykIW3rPdZnZUvE+YZ68z0Dk1lUBums9A6XgUTgCU4e01wgG+CoLPZNmrPIXr3u96DpMZQEz1oOxMsX/3Kl5kcGGIvg0WhY3JzFnWkoSqwpsNtXUGND3ExDVKnXgX5nb+qE5SpbZyW1yW06kg7MW8ag8nttce5/uX/+osojxubxBCUCTsUybEsUX2yw+A6YCkCdzMkU7+r2YydgbPFMZYiszW6fbsxSzVII3Q23L0SugDZNlBEu081oRM0ik4YfJgoqqyuGegdYIcnbBiRHBVbu5BkxtFlg3b4Ry8owDYqUrCQLtpluulMhfCmaDY0UxMk1QE6NJykc1IPaB5DwrNx2kpw1vMIHZe2tB4vpF7RjgUxLBqwNsAIN9BPna1qAUcGgCs9q40NrIWmdC4Ok2EO49fSIia0IEAs1pA+MCFZ4T1pm0kKEhNbUwDrs7WsH8B9yp+1DnQbL/XXpkRu2Uk8Nj/na1UaMFLwOJ/gWbJfAGqNTkZVGNFt0+lXsDReeUNQvOiii4IHrMfDjzgqPf2E56QRzuBylaR0VjUxobRInRrOzobSRrrSQQkxpEtoNcby4m74aGzTmvSWP/xdCkgpCeNoJoho5vzZA8JTlR5GJvTiC+l/tdDZa8miMIW8/babEVDowqQl3p2Y6mAV4jAqrc7OXkCPlWjwuZ2PHd8YphlOaHbLH9RJB3lRT9yGMl3+cBSrfD/Ot859DkjPOOmUkJTXc9bfPbetTet/dQ9xjKQaKwKHWZk4grXDKDToR6VVx2LoV1ddEfUlJ+UaJUPhMm/l2vRF8Zy/Phx/dznIbqtQsoX7Eih/2YCtPH/UE1ffQp7GewllU6ducf6levgm6KoH1GmK4uYcDo0EIIFBBlyyaFHolzwBQFMYJYCIj2+mV7hcUcVT01U0wUXa3O/UlXACawwbYT6HnzYIF1E4A+viC7oKGg9nKhk3hZ5EwuztzkNih3QyqfSRId0D1pxIn49/8lPpanYX+8Bf/zU0yMBiu5lENaHkXmd2Zhy7Wq03PEJE6V07xW4IPIYhe4WGIEo5AQKKxDJkF0PQPKEdagUmQBiQRnt02D2BRBMTXNCtA+lE2ip528G5BFLAFCBsgIKv3wU1gdZdxdpIIzpJRwSkkus7+7HSJwDbOkgnyNlQc2MlfYqsrlXJVgnRuMtE5Moyt8GUXwQVQcOwES+ZIDeRH+sup+W3TLuw18WveCv7yFlyEVgaAJv98+x7/UQ46oG86H+EEcI4vaerl7THdZ/esAiwdsK/cVmf5AN+k8u356ybBzg/68gjjwzela7f//73kWw5U4uAnhareZW8Y5swzg7SVqqNBQNIrNIuSkEAeU6aaPrUx2jFtjMAT72MU5G1XtGsMToNQmhK5ZL0GvR9wjHHgtXj6bwLfpD6UAOhDUlr122OdNev35jWrFsfxehAAFB9Yt1qbeFeGsHX5M9JSQTMmOByCbRgry5dQva6eMVjxOn4e7A+CBWZdrfQtH/xPmnxvodQTuqIEVobumJPde4E6AVpd+x3BFTn+VoW8NjBFm5r6pJe1Gjh4+G9NmV112REpgseK0CNqyRQJ9uFmKJCuwSQVGEc+B7GhPlpJHlWX/IJx7pC/iE0YdhrmIqmV6dClHZ+ddVV6W/O+CDeGQYxGdHDS099PeCAg5gc0Vg87wml+YdnbTnMFrjQOEy5IqvxIjIevBGPMpGNT8aQib36bruO7NM+Q9JSwjTMzy+5ON184w00Zpo2CUaDRkqahHm64Oro7QGM3k4kKCQ8m6hOE5kKhudx3AjD9zJG/j+65GfpfdBB3ZcAt2rVqnTcU57GZAe9PXRTT7h+/QOhO+2jYUhzN3lRAppkSSsDPBYkOBFRRQ+sZNKWXvvHf5JK61bFyq8adKzD3AJn6JYp/83svWBdEVluzAIi4G9n56Y2tIw0xtSy9B6Fzk5E1tDL0oajrIjLAcA2OjsdzZHUx41zlRZK0cA2oxEnRAFUACg6CIDdCS47JiUl1RS5AZsmQI62QRoEwQMtaZASH8dbfgJmA1i5mpQSa57c4tl/jTwW+ll1h4JsEY/5U5tMygC9+emIE1/H2BdYdZbcAIlDipc+OjubmS7K2fRSgBVYzb8mWYLnF77whXTHHXelJz/lKQG8alfV0eaJNeoRYHcY3oUUX6GO+Iq+GspBc/dI7laFQT5d8OHCD0+lXXbwgaRqOVFlwHx2ZI7qVt69Ajq3pcMOZtMWJpI7KxfHakztWF2dteL229Nnv/T1tGnj5nTYUUdHmdTftiHZItOj0qKc8JKdqCodzf7CtJI6cvm81aIapYeJQluhYbUo6QjTMuuZPTsWL6EtGpHqBSRcaFAp95LXnpjodN7ACdEKEvyCxdoFU6f8gUW2cLlVW0xRBjfje365e//ucpAtijOTsZRmwqCcoUk2DRJYlYBkgiwJ0ZKbiNWQZKPhCLKArjaODodBpmc+/fj0/v/9AWhLBQKC45idfOOrX2MehdbH96gkhjVOxrgxeBcrlQTjwgkkMomV11wvERcVXjQWG7xlkUF9N7NcRXzFdQywcerDbUC6YK5TTjklveF1r40hp9xnee/DuuAv3vsuJAAaKkV2Jl19mhuTaAkRmzAjWWxgUoEEY+i/dEFvuueO2xoAAvjDhOapb6A/PYuVUxWGiEo8557/HTiciZqgrZ0aQAOD2yhN35E2UdteQyo9/pnPTl3D61Iv8VWQJASLYHgklgsvvBAwE0wzDQSGbkzOsulSbgTuxD9EBydtBE+gMwDIhRV5xZwSnmBIo+RiHgVor9a3HY9gKm/Y6GJSi/pUraIUm9UGjADIuDbBlsE6UIrXMoNLo05sZEizps93cddr8Ry2u7zMAJp5zvzhJfs3jP6JM8LLk/yLe/NJ+VQD2elpxjbM5BAfpSr5wh9XgSWrv3yadgUvFW8e85jHkE4t7bffflk6pR5f/vKXpx//+KJQedg5C7KxdJrjmASSmGQDTOUXgcZFGNJIJx97r7olty1AlXdu6WmnCdXJK/9JMxNGCxj8SiQIaf5ilEXE7qOrTl9hqHdgEWBcQVfKPgpYH7jZkHUYu7TRFq2fbNbnLs+MNqwzeAUv4WxL0kaJtNP64+dWn6QMqMOvpOvKQDt0J1TdQFxpWV23QorhyggkLmbQ4T3KId8EA8TbR96fXQ+yud6DGFZewW4CgkPNEruku9O6K6t08olDL78XEkT+QOVHYCNUOiIcd/bIzvauuvfu9KMf/oAd5AEBKtPTEu68/Y503DP2Dz2tM/rOoJpmHT/DTCDZmGOiJBIoWCHn0MGXrpBYzY/3Ngbvoyww7Y6cQ/UqurlJen3DutH0+eefDyNlyZio0vq1eW9Zl6Lqx402XEShyZdDdB2+A3htPB5wp/rjnnvuSZ/97OeDyd2EZoj1/oZ3AstTaMtICMajVKl0I10EGXVuNtUqijWHjZbLsM7yL8Qe19WqXejD3H7bJZC2ZPXmRJG+9MUvIP2V02233JxOevFvRZ6UuOvE6WkV7ooWDYt8CM7sxx4g6/AyN+KGJCtQAWDusqXN8BgSrLakglgZgFWNYZqqCqSR9DL/Su1uqScI21Fru2qZwXOfQrqxIxGyMyDyVnDZ6pe/Sw+/Beg27uOZOHXG7bOdQgbh6biCz+BdF7386rprMbH6dORRA/sRTNH8/pnPfCadffbZEddsf+xc9Cf95U1VXfKXdevOYgOstLJ+SqiO8qQv5bWtAKDmze0xVQmZf+ku3tj3GGes1BM4ATYtN7SWiY2ObEiOFhs0KfIlLawD96stted6MO2DDz44nf2ps4kGNRL84ikU1B71JDzKm5mW1pGTkna+AqJtxHtHp4Kgk2CCtKOdLkY7YZNtnqqjaRFDKY8hj7P7iK9EhUb+lGxJoOSRCcTZzj4ZvTBokW7cEL3OzmcLR9xBkC1e7v6HXQ+yW5XJppGdjCCzOCRUkR7vYYAwRRJcMp9HLxyHAGYPeMzqAj1UMQ5fDDDcdvNN6exP/2PqsrelstuY3RxBJ3n88mdhgsIkEQylSZLWBbKGfmSqZldIs83vvM+AT89MfgUsw9o45gK0Ao0bigjyhr3uumvS/atXRsMxXhlumJlfJTQli70YNtkGojMwr4QN5ievAxxNIyh22MuTF9UDf/X+90UcShGCrzq2hazMGYuNsOm84E0bRd2hvDEB0pY6gIkGZDwYTwGmbtyBdE96Tnr1MLlUQSp1iOaQz71tnXg544wz0ubBYWx4a+md72WCkboDWmlIUhVQpG6MU3rbQKuCAaAcR4zQeViaGK3Ycmg0BYgFkJC24QwvjQVZZ7hVCzRLsd5bCv0aPv+IzmfAJr9vfGvUceGXUHwnF4TzGsAp4DTi09/0z9xCK/w5Y29+rSPvDWsepdkwkzPuSbHynlURrx2KA/iggz3TDpx8IbjaycoTApOWMuOMwl7w4hcF3xSSrBQMwBcIqUjT8OdJBcFPpGVHHNsiAnhumOMz1OBLzgs5585ag8ZEEq2AetJZdif1Ik7K14udrUBegX+t64W9S+iM6zEKdGNw/VvzscqM+hN8Na+LHbigl5JqYKx8xeisAx0xVYqkqpWBE2OoNOCLhQXIklfLpxQ8lR9yKB/bKbsgZQABI/IcPvKfrQA2AvNHNH6Y3W4EWYmWSQOtAqBkUht9rFJqEDWAACILYLJ+vhISHaL0CjMqqpLOOQjYy/B4eGQwvRhm/MjH/l824OeTG8x86YtfZoaSfQMAJxtxG1KQLmxkiS0atuMtnDnL9cHf6YdgXP3ZKAU+GU2A9blg6ohgG38sm43TjZwt76te9Sr2Kngz5WpIsiR2+223hHWB8WtW44YceWd7OgWkS9OxvMwJILm51LUSm+Lo/0UvfAnmWU6ujbEaaB3S+13RSDX4DtpBR4//qDCR4PA1QEiIolFaDhuJjdzOwF7f3cEWIAGzjxn6PXSyJOz2iOoKXXX23Oc8ixxz+N7lVwXYuCNUlfrSfMrhqFfzpQs6MZ7U7M3mrWBhcydLrALCP4ygTtC8mEZ0WoBSXnAAa9KIVRe4+CBMtegopOFU3NQBFRFlIOkZ1wIswzvpCzM5rQJEp1UBVrmgLH3yLwOwjJDjJXKrkQcy33gnLxQ8sT9mRic881lRhgAveifpKuhsz5kX47jgggvCm6AtwGmSeMMNv05/97GPRjxuCzllvki95QaQJXxBVLB02E4BIp7ov31nh2TbAunMepQdH7F/BJKpE2bWik4hQ8AU5JQypbW8p4rI0dEYqraYVIbmC1UZ0DHYaqy3imEIKoA6QjRJ34eeGMqbH0cgocuFp7wXiHuYjO1jrmEJ25W6qb4qA/PjXIvg7HJhdchMbERd83ZKkjXPW7pcjngns2VSbOnlYXjaLSBbNADpJ596tfKshAAQ7v3nc+4BZRg8CbZBFEI1iF4whDPoxlbFdlRdp3vJXnzxxdSwM/MAGKBzx523p8OOfHyYb7mb0xhgqQlXDbHZBiUz54mPbVNeMJXZCnA1j4KuYWVYn7fn9KseynIqeqxevTpdeeWVYgPZZxIK4Lh/9X1srsHOV4BKXz9HdxBnP7Ougy5txExGFzaLzAprFuOQWaZX4jmIQyM1o3ILPCWhe+66l28DpJcXMUQZBVNAfhyuU1Xg5Il0dDLNxureozZAgfYAdjTrmxwEZBnalWB6N6kh78ajWuagA/ZnKN+Rrr7uxsintHHnr2hYFEpVh/6lm41TiW6SNGIik/IqHRMwdMQOKQUiwTg6E2rbcKHrJL2SIEtc6vniR+O1EUufov1YB4bhfwNATLtxH9+yT82wsl+B1h9x8I4s4Xj271Rc+lWKNW7bth2I6pKGFI4/8yA4Shd5Qzq43ablUV3gxKJO3NueMx5/xhNABnAZr3mRd9TRWC9KsurPFTW087XepJu0CjDklVddxMd7ddqqw9zwJdqSdKMc+KBQ3Au8Vrz3XC2jfGEbdETk6QhKj9anaeU9oPOkpnnqIp+wU6QHWgcdzI/27yUyK13U6ZJVcx3+XBxUlNkyunxX+2Pppk04hWjQnGfbKBNyOXQjHWuFcDovFCmcl61I3fiWfTx8f3cLyFo8CVuQoSi7xGr+ZTI03sUDLCJDBTT7QmTKTqlO0Uj7T4dVgqxDtiElMuLV9Onee+9lA+8nh85PXtKG0w1b7Bj7mYG3YuW3mU6/Mlt2ubHYg8v8AQICAOUpwKThcdZLgDMAF2nhYxV5uvSnl0yFn+BomMFNm6NBKcGFgTiNX+YaaGc5rZm1kZMdmdc8NKcryFogdZQadl9z9bVx1axG9UIs+KCckgX5O8yp8iBYCQUItCHDBU4IjuOvf1F/WkjZe9rQydJQ0FgwVGP/BPJp2urntIdchGmc8dj4tDm1O9SUzNlsaVRIVPk7HZJWBbQCP0naSRp+gFy84D3FrCPdAmuAvkNxpBmkHdUVMWNNfQqw+Iz/3umyvauh5C6HugAn6cSVG2OUxyJLeFItEs/mHr/WbjwTJvNiBpyi8y2kXdPSZT+5OVu3nivXz2kJSqAHHnhgfFcKCzM5+KSgQw699V/jk0bq2I1DvpLOvpOOXjWfcxWVO5lJafWvBchqwiVvKJkq0eqMUx4RsHigo+JRzz/cAAAgAElEQVS7YSZjYB88rx9BjFARJuvM6VDJu/cVLHKA/gBWJVSH+TluBQOkXJ5djhsIGh/kE9PxR9ykZ1kM6+jGCnYJdRXdalEuaWtHqu54iJ3qhmC2EiMu/gQ/qabYjPBhOw/8wL/8IDCHM7HcWPNj1HamgZ2K4R4JbreArPgK3aect1ayxHYIC6khPq0Z57DH9zKJK73iHX+cFZWmsBik5G9DUqgyQaNkdviyI9I7Tz89jKM1dNa64Kv/9o1I58QTTwJEaORIYMHASLKCnnkgwUhje3/cA1MQX7ZsWXhT6lA/6RB6R85GEswGI5mep5y+9c2nTQUTHO9YcXu6+qorOcoE6wGc8Rsu84/UoX3wbN41P5tg+O/JDjZKpacx7mVkJVtpJwC6ubXfbWuWdYKJDFnOrfxcb6Xu1Dils1YddiJKQm5TuLSPlUxpkPZDWvRmsZoHCdv0DzvssNB1q1/TCdLudVpzYoJGp0mPedAZXzRiW58ZoaG5KbvlcicogUM/Sj8BCjQKvWn/6mhE6Vj7WIecISmTT+2hlSil5fRPYOSdEhnUyvckpz/Syv6Kq+H0xz/9Gw42mI4r35v/AHD86VSbiMj6M15CRd6lySDv5AU7oEgTf2UmdqLuc/AMEhFT/mM8zU6/Aq2TaH6LuqA+vZfG7pcQnWOombhrSLJFPAFCRmje+GWXh90CXUisjbeho7X9SG/iK3SmfjYe/Ua9QR9tvE1DCTTeA+SeJmuepEFMwhmQjt4yBD/Y1og3LF70xTfzJB/G2Ib4JrQ8gR88Zt1Vf4MsfKljTVBiJZh+6nwveEJMsMZs/662G8XcTweMx5VCc/UH8+Ck7ByadfjdHX92PchadmiRmSAzlqRRF+fG1WjUQ9LMFWajxy/erKxMNIcxkJCXktDq12knG1f8OaxeuXJ1+ta3vh1r9WPDaCShW267NR287JioYM+nMvVgWBsMDBQMReUYVcGWxmn6Ns64p7bcFNxf4WQmh05ed+Ss7Nj0gxuZRuuC7373u1F+JSF1rGvuR10AyLkMVTp43IhnntmqY1cmntVNCVKm6c9VQgL9ueeeG5KeIOveonYwmlWpVghbTtJQKnbjazt3Z/s9V8rp+DzUZPkunY77gbqiR9VLPyBbB8j7kYSHhtlWD5WFkqyNzdMclN7csMR8KFXUWQBiWHWC5t9znOwoAkCVjCi3s9pKxOWGDjBM8KC8/ow3/JM/V7F1ag9MfYU+lsrXpC0DhVKqtYg/rqaPjMOPf1YpaUdzw4v31mE21eJZqTXAMQNsSLQR1vgEFoFE/xGSTt9UZIKcnsNjusngH/dfEDTMs3xgPdoJazUi6E5wkoKjA787otiek0bWvfHbScqf5uXyyy9nJLYqvkUHiJoFMkQJY8UinZR50BJHtQxGq5F3G5Dh5e0YtXHvZubKsJbG4kA5wubl5TV1nhrayRx+hteUcJ0s7WbprSDrz42MpL2yr3QXRB0ZyquWQSsRGcxvQSt5DKeZZGHZMsQClzjWh4nQzbZ98qilLRv1pgc2Iii0Ewd9tyPTNq0KcPbPteic8Q64ewDoRvieLBocFxXlDc77XI543OI+v3k4/u56kJ0qVTMxqA8IJJO4QqkeQ0cqkF5Kukg7GQV04q5BNHpewS8ISWVi+RWNWmlE4/q16zamX1x+Rdb1UelO2tz865vTEUc/CSbQZCnHGfHm2mnEl/NizIL5b9rZ0OIwQLjC8t51113pl6zUCsaMjgTg4yhlZwo6sQ7YyNHWHouj82RZXazNp/FUMXWJYT0So+BmA1fynKBBtNOQLJs/JVm3s9NpiWDjFeAdmrnaSQr7z7xNcCSIR7F3sgbfsAsAVhbjpN4FewWwdtHQkClT/4KsdxRE1POp8x0aHkUi4clhPmGlsrYGxShBejrkU8dXw1rBpJWQlIjUL5ao95iYoS6VXMliAImAKqB4DWmGHAegCCr8TCtfM2DauKcl0qZ6Jpx+ix+PTfeNMEFq/QTX6SX8SKMinA067im3TkD3WedowXrw56kWI2zpJy1lJo/Edon39pygVKgJvApQTmC+//3vTx5r/oQnou4S1KCrOvSwdKCzcl9V3xc/m0qAL7xt3hzKh/6dzA8DqIKktBR4XahgecfQ8Uc5aC6qaFzgoJmVAG28Ar4aCH+ezuCchh233+1YPAm5GFGath2UJ+m6VLZCAzVuATqEGe5Hsft2qbgy+Rjx23Y3Qi+XJG9AZeb0w9gg5mGMYGqsfDS/xhGSMHbb/WxWs5kRqp1ODCyIw/mOqJYGX2+P1g/Xt10PsvLuLE6m8DRL15drP5l7ydyAbJwS195SfwGsUxMJKuYzaFqpTpC5P8FjH3dMete7/wK9DtIgDXFJX0/6/Oc/T4XZU0ariDhd9WSvTvXFvymkncrjNjI89X3nbmQIG4g7JAlqzzzhhPSmP/7jYOAYhsNId991R3rPu94RmzB7GqgSn8beyHeR581YHLikdBQwDkkJht/E4YGHHnpo+tCHPkTrysPszWzsceqpL48JsIEFnG4AgArGNgjPC4NwtCbpjWTYkLQ860zjbmf3zavLN/fe6wBUEGtY+riQcH0ssXXKjLXygPXfffSj+BtPD/zpu0IqGUUirmkgT32Vkbbc7SoaJ2mFNAoYa95VOPcJjSql4WobrRrADieu1LFA68oxtzDMpltKsTT6aGwZDLmls7AGC8lTCvPjg3KoPyXYQp9q3uI7fjIYG0/msdyIG9/hJ/s3AUge0nk/FYZ45T3/6dzGz/rw3ZPYSvKDH/wgrAZhG/lQgt8RN9khyRc//OEPgw6qC1Q9vPa1r00//elP08pV90FPwMlyMepx3wIB0IlC68NrgBvyiav5lC75Ex21gKed9OYN6wgncDF5Roc6xH4G5ttNgLoArhoNbox208u+AErhZWb8tUhxz4shQM3huvnsZmJ1cDP7YRCupxsJHNCFlViSyw+Q1bRrjG8eRVQlDFgbPCWtpP8wPM2CMthVKZvOWA/kVefIbJxwqg5cqdhJOZVoSSH4SGuElevXpD5ork2xdS/fNAAi4nik/tn1INtUcgkjtEHZaAgS1UP2BFmlI4cF0txOSeYPJ5OrwObnewFYxxl/ACXGyby3Pay4/c70sTPPTCV6YrfDG9qwlkmm1em5J70oGozBNIouGshU/BHb9B9S0yc/GxmJPEQnI7h9mw3epaO/uP4XYbc7DjMXUppA6A5GMtfGzWwEwhBrw6DSLRIL5ZeR1E2OAG4CSfgnn4InPEdvroQygfpgOCTld7/73UEv41efbLfikN/GyJgrpJb/v73zANC7KPP/bHbTGyH0ACEhCRCCgHSCFKUFEFD/h4qinjkB9RDUw7OgpyieXYrH0c6CIohIUymngKCEE5QOUkINCaSXTd3d7P4/n2fe2X03yQJCNpLkneTdX5vf/GaeeZ7vPPPMMzP2zNQiTX8xu4b2xR9SsLjogvPTZUvZ2gStQjPD4iUIttoL9FgwfyHrIQDaLO7srJz5LH03yOmwNABqG/o76q5lvboYj+DRRvm1+0nSXH+cQ1fdiowvoKqx6mXBHRoTtF+AwmvB2WeGAEqyn0HR73lOLXkP2kYjzY3sRSBIwlFet4OlcXMjnm23GWjzPUtXtGTfzfEKWOsbGxok5bR5Nu/SyvJZvwKWR++pbQpoeQozoFbVwOSSdP5rHQqa1pUAa1CjNdjVNi8+d8ZTTKWtp0+m5k4e5AMbNGfWBdBGC5F5VlBUtgQvMpOVGepEIHZ7eY896QEuJt5SzEVDhgyOGYZt2OEE6t6A7zzBmXLNmTMrXYAPuo3/FlsOZx3Zg9MCgM4tcZoYMNVSoFdJ1mLRnOHFnjZY/NzgkiIECGtGclVMwTjOqR819z50nRbMYZ0G+ETFay6r0jXh523557DNjmMGM2a+xO4MbGJJvuezSPolZ385aBQyKj7IYG/QsGZAVmmoooEkkR/cbsKKUQZlkjAXUMFFk5VmrXW24gQGYbwfo6CARotyyzuuRmR/ZshGG6W99tqLAVQgBcawkv9v0qR2gVGrQApgUIWTj5uW1ybNT8COCvNGe7D9JeLrCE6A0A5FSULzGDZsWNp1110DVF1T1rxOx755731/gQbQBI7tifbhNMlGulI99R3kXnM9ti7ACwmOOM9Ofjjts8fuAVwCrOlsvdWW6fY//CHK1VONBaY8+G2Hxii9KyVlF6SlCAtmBOjkoukSX63PfDYC8O9///Hp8N2xY7e5xxeA40SC0M4YoGAwzSmWTeRHxve9pXxbFy3rIjwL8CJYim1Z2ponWgL0cWkv3alrtzPn3OmetBuhpagpZU1WMwTgBbj7rmQrgAep4lzgEyQV4BBergXYzD85T+Wd/FxAzmDrUb6z8nN8ayU3+9nrIMeN+NY8+TOtOIlr8ke5pJXlEyAFRPMa8Ug5ysyLck0DdZXf9ZurDoKkP9/z53iCx9tuuy2OAnljYyNlbmF9YTRX4tpAu2uBPKJpSTmyHGq18jaYy33riCPvuYWMGuZLLDQjyJk389u/74AAu4Ua6hctiy262xjodDfnBTTY9obmzZ4O/3E9b356acbM9Nf7HkyHHXk0E1LwigkbK3Vv60kOND/HYJZyHb0aGwoVA2iJjC5DM9X2a13qcxsDnry7aNrUdOkPL0pzmFxDSyIRTS71YxzEBmsQu4a4yt5Wbx4XuyhsxG7NfrEjZPnKozbBarmQAb4++8eG7gXZzpToVNJgeFpQNVhYHqbPWoiAZ5353MpT9/SGbiHUYWg/UtAuh/frYSyZUk3AVYyaObpdxoYD+uPOdH/7s6g1hN10+U+qCHkABdd+lKA+I9DCEnxCxojbr+tPET4FyZZ5ww03YkucsWHLLAkrqA50NcK0NhiL0FDmoSW6jusidpsVdHrDnD5fhgCo2Xzzm99MRxx2MOeAt2BpoGCbbrJ52GHV/tUSNttss7AXNqCFOBah1ol1N9UjnLmrm0F0LjZttZ7Ro7bFFYmFQjAB2HsQZNWc7Lqbnhq57wmudhu1yTbbzYdkaqZqympR1kdoeqimDi3ymADDk5512kONmmuB3Dzpvhb3iKKGra2tXTslWTkhd905t278tWuw+Vpa+04cAxszT/nlAE6e53czDxjP685Hn/m1DESec4OrzAyCqz/vWD5tsXbvBVzjxrNKPihQ8DJRuwym4U9TjTP45GXp64yvxx9/PH2aPesiP6Qdmi38oRbaWtFizbv0lm/sfZtP+dZGA/IE3aynOeyMcNsfJ0F+3qfOtBs7I9KWzKnfU1+aS5y7oh4bsbW/NGt2NESWYeDAAdGzGDF8m/Tg3x4PU5X22F6YkmLXCL8KTdRQnQ23lPTtKXEafB2DXdS1Hj7Ubsi8pgCcpgPABzJ1+HP/dmooCZtttgnb1GzGDLBB2I4xc+E5Jq392UDa07E6hE7v8dkIBWDzVeWvEQyrQY5zQq/tb/eC7CryFEwrk0KpaMVhDrVTbTjxjCpQW4hzgdTAM0HSgwTW00BB9YaCamv5EMu1nXTSSWkpETZgsd95M1+kQnqkkz/+iWCAqJFIzIoRaEwzp1u5vdIhPvs6K8hvqUUrPArijTfeyNYdvycT3svguARb6yB2dpWhF7ItjKqmWq0j9s7lVgtYgDYzaDC7GSCAgqxNjvRzWxtJEd1UvtEHoecqNIW+DKQN3mBglNf0HLGJZf4AMYXTEEfSj10MWM9B1zCSyfF4J2/MaF6Yaca3rQftty7zpxCrSaG3BB/Hik9823sBFnT5WxHqbD9VOgRcNNmou6zJCsYUEY2dmiR/XIbgSLcgQuTSercAmS8E+mwWyPctic+zGcBz4wmghacqz+O6nK989FMClF8SwOPa7/KTJ81S1Gec4/0AAph/v2Nd5Dzm93I8n2U6R2Kr+BPdeupTAD3++OOjoRN0nZhgo+caBg6AbbH5pjSeNG6YjHR7VBs0ZTVyNVhNK3KFQe62el1cxbAIW+7QTbdMp3/2P+jCMNipeYGfPuYxJqJpRbc+eKmBd8466yx6K9QUtnpnU6rRvusdx6bnp01PDzALTT5VKWjrQS9TnpI+0CFm7TF5JTRq0jFte1nRVaXH5FTvuthFgzhox3XMZGiG33o3tKaJ738vE3Acg0Dx4pkbf7bZI3IAjXddqwRdI0qoxgwbQQMHvmAegg25If/1LJfds3906F6QhSmlipXgqb/qIIPEEocKPRH96T4ig2aGlWSFWDmNeJ/0FNwgLYnaPd0Gp/yj2DtrKQyoU34jNllXlo8Ov/GRHsFcYOYs/Ay5DaNQiSbqOYec5ZxTBa4614KuIJWf+oyQI5VDvlf1V3uezCtgahp5E1sk7733vvAd3SbzRFm1m/7m+qvDbuW1gufoaxNMaBffo9uvTJkyBe0bBmUAoWiK0bITx2vnj+v64oBXXkgZe5lp4X7Vk6URpalbibikoYKwBA8Mdz8YgE1sLprLbBaqERyDFlEu68XBRYBQbVlNlZDj2LjhXYC0N1XuI7mQizqt1KHx8nbivNqWGxRpr9YhDaV8DA5R5phGqf0AWkkDg/ntAMzcMFDUaBgEWYkecSpxravMN/F6+3lOx9rNacZJtKCchfrHNylD+Hz6TQngX79BmuZHWQ4ne87jGno7qOpCNjrq5wE8vg+9XU5TjwoX17FeMt/4fmS50zEmXNj43nxTmJOyVp27/uPfsh/TrT+TLr/88nTvX+9Je+yxR8zm093OYGOrdiev6Pcc7UJ8g29TjiaA1DqwAe6NtjpixAjstNQftlluAYB4GtAo6x6ICIaOqZuU/rrW4VIHwXCvkqdenP4SmvY06ov7KAL9seu20OW3DqOhFhTxCHAhF9lAEtoLct1d6eVQ9XL4TbG1PgT6kHniyaOupOciR8q0boQYYPMMMPLlojXmL3MMfwNXBfYMsD5ZKRiftN8IoXtB1nJKJAAlBBRia5/LopptNK0wpFpDDG4RPzQuGdzaIBRZiGUQq4iWTzH+s2J6HzayG7Lh4LT37rvG9tSaErRtzZitOxSJ0HrGal3xUvZMcFRdALPi7OpGoDJzFO/zGgKvdmQcK59LWlSOJT531SBkIu2Uanp2qb1ugFEENEHHkVe3f1m6pIWu+DZpjz33jW5bqwJA2WfPmpmuu+66sL0prGFaoLlezCZHApLaxfI2/GjZArqJrZmnY8Nyf/o6hFindJkQWRYOIp9+W02nHuduc754SSPrNjBIgU2VHcERkpa0GEDWEyP10I1nUZrOojX6RpIgb3AbU4VA7LTWAC5AqFIlUR7jZO2XDRDrWQoPEc32coSbwZPihua7LtptSQxxBngF6al7iapm1sxoc0zjZN0ElCgE2MYMh7AQPBobBBqJJwVSEhApewBwLjLnle4x31PoTT8Dll/M9SgghYGqAs6hERPRdPiT6Rnp+I2c354AknZE6xRmwGwCPahrtTwbaN3ufLa8stRhrDjlVwS+Sk/FlPh01IXnJhUKBTlrEYT41qYsc2g64X/K0e8L/Kf868fSxz92cnrwoUfS97///VjMe6eddsIDZMvwd16CpohVmLqiMZVGrN3bDJIuDodoG9wlaQAANvX5p9Op//qRoInfkTbyrtpmP8YAXFtDGrvG8yOPPRHPW2kYm5oa4M+F6aHHHknTXppK+gxq0TD/6Xc3pzvxfli4YGYagKY7YrvtYvfeHoB501IbLEpajya81MkqNDzunLAMkxSeDfLqQnZAUF6akU1XcbO+NHvpnWK9OHU7MxzECsbLfMlV0I+/nHWE/LT6buVO52gdL6zBs24HWcuSGatzadVibeXsbCqAglcJAqzCIFt6ZgBG4ijjGVy7QAB208F5C+azuvv96fOf/Szz8+ky98eJHnuThvYdx45NBx54YICFmkXIE1mJ3FCzRafKYM63OJEJBX2z5DqalsCBHZ+5SIchx7cd9x8MImijUceuqnbJYNhe+h4iBO4kMO2FKenuu/8PsO2T/nz33XR3AEKFH46bj19kf5iqF0xmF1HtYwFuaa0ADiyXBrFv0mJWpX/ogQfTQfsfkP71pIlpz913Q+C1b5IfG4MKnQQLS0cRIl8xmwvNdiHO8v3QgFoAam3RS1ECXLaumTQaGSBbho1vgINsAKsAbYiBG47SwzRzihxQK2yABBKBtnU5whg1xD0EaokoSRfPlbuWAeZtTNEERsmazYD1Z1qYSwBSR5l1SyIS2/E4ky0Pmil0TifVLq+rlEHg8ecItABmfWYneUCZevGdoh0VL4MMlvmrvMZz8h7p5LhZUzZdgMdf8BnX2IzjGWX06JYpat3yizb0TTffIk2bPjsa+AEDB1doZB75AmW3DjOQUlbLYAE4zfxmk5SvXVHMKnNxHSNkP2bPK3xY4bedd9k1XXjRJenpyY+m73zzW+xae32as5DReqI6GKZ7l42zwfpyWU/rpyc0aoGRN91kaDpwv33CZEVk6sleD5omRLmP6eh90V532nEPaI49lskxejpoEmimwZw9j0kv//u/JMxU7YFD0o8vuQTQbEs/+N630lZbDcV+Oz394prr2I/sG+nd7zvR5HkPk5XvUyk27hsMQjtuWsQkBBoWTB66FOoHHtv2UAhZLvNs5umgowSrAtgoXBd/5KiVwipvrhSr22+sEZCtLoXsI0GthGAOCOk1fFwJXhVo7QJkEUjncfvKYhjL0e/Bg4ekDfEwOGHiR+ga9w3h1Y/wJ/9zSfrlz3+S/und/xSrOekbqLA0YAdCfNqFw8QUvgDT4Hf/yOqlS0K+4la+T+3H87IQi/ZWJcn0WxdlDVCm6YlXwEy6Wf+JnWuvvd+c3n3ccdG1VIN9BrezK6++Jg3fbjQLuzwdW9IIGnb369EoF9EdbyGvzdhK+3HfgZB/OuqQdPSRh8bXeQTtsv5qrtROFGK/ayNgr4Bx6PSjy69Kvfqx1gD+lgPRWnvghN4KsN07+Zk0B62j15aj2fL5pTR7yrOAAy/DFU0VX8o8C4zuqYkGAfLocDSSaHTa4ZYz22iZ9lTiNPMNwbUJWs6nwWjuwdReAMp3FXqbpdDWAA9XlnLAR59ff1oVw42PdPTpDM8MgCDPIAPIAXTrTMETMHOXU007A6QcYb5s9uSiOINXPEoLadUSNsR8bho5PXJHGjbuXuf3yTPgZM9CILSH4pz9ZjS+PmjgRx19bPrOWf+RHvzL/6WljXPSwQeMJz5ATIOgn2hs72MmKvZqzzqCQCw9eaVy029Ko9woVG5y0CThjC7z74STMdvtkC750Y+jV3TUO9+TG0XBFZBV0zaNelsb8mn57FEvYcqqPYLBDGBZvfYE7CXYUNHOxZRdmoW0EUtkpta8U7LTl50W63oWjYDh4LYNcBFclIZu2Ds99NAD6S93TQrvEESMhqYn++udlp5+blpaAv+7VrONsGVchntgvz79WTmrX/r1b36T2vrgB84W94vpgYYL2vLc25PWwb0SBN43f5YlhIq/a3NYIyCbYVQGgOGtZM5kfN09WpejASJshsJ48TRaMJjLZjFEMzi2wpRWiN1T9ODoXrSm8W95S3pxyvO4MN2RDjv8KAZ8BsBzLWyj/I507tnfTb/65RVp442Hxmi7NiBHQhX6mPCgOlAVCsR7S6N7Dvn7lYvKgZgwtGAuwxhcP3MB25FoF1YrdcnBZ5+cnI5697vT4YcfDtNlR/AFc+ek73/vO+kt5Pu9731vOvPLX6QLtTA0MrUyd5llAjxUwqUGpnVB7MmTn2AA5IQQHE0WLWjJbt2j/a+dqjYUIUhQkSzvd+DB6RdXX5uGDhuehg7qmwY2z8VTAS2H9/uxsMlB7/1wmos/nOt77jRqeNpk6OAAkti7iXzkwa4oWqRnAxW1hfQqSJafjiaCC0SSqBqI+pTdYAcoFmOSsMGwTqW3sBZrhcII6FFo/FwDWrGHFZq/XgZO4e3Tc0BsPT0DDV4wCBMIybj5pA2aNkOFMgOp4ApI8k9gsTo9hncCX8yaq0CbQUywNd8Cq6AcK2zF25W4cln815yjvTJ7AGhfde1jR+6HbbV12mzY1ulTn/lMes87cJOLklE6aN6qXZxr7eV5oMc6UWMtIGrDkIG2gGqdbnIGvluCzSfFALilnxQkf+Gz7CxHtr5hg1AXZ1eDVf8LF0jkgZJm3oaWbdS1vQG/72IymgTCeodsaGLQbuoi2E52aYpBT4CRmWpN2u4bMAPxztajxqR/P+N0JjbUp+effCKUBvNlS66yFAFQ3mHsdumvDz5NHpUtcmt5ue/Oy1//+lnpP//zrHTv355Ox33wI+QDxYElOlux0+aSET2nVPU3l7vqxlp52u0gmwEW2sj5FQaSmAqHDC5IhhYR5BNSKsH4BlUyhTjYGLjlHYNg7SM9CBTUXwMkG7Cz5pSXZqXb75jEA9w/EF61JRcwGbTBhgECM2bM4p36GMWfN28eo+ROgSQxBM4gM8raQFdc+2UznrtxcWulP3a7dBZX+Bcx62rIhhukGdhOBYdlLBvUhz2Jbr3jnvSHSfcyU8ZdYHHLohz98FN0i/CPfexjdNcYPGHNgabZNDzkezHakIuztJJGT36N8+emJayUP3z4Vnn8SUVLNCVkiniOBlC555UC/PnPnZ62HrNzGrDZFunQ/celwTRavdhPTErPrOubHibe9/7rl2n8DmPS8V/659SPxPpgc1MTElRIkBh8A2ApaccN/tiwCIjOB4vpkgi73g6CqV3N8DyIXoeCSJcW1LVRiy4geVuupqRJgBJov16OBu+sNqdac4Fv5lwAGCCFVvPZbNLy2FXPg3m8B11sg60jewY+l6+MH+YC82xJKwIf26/wjP+ZH6lzYZoX+XGET7Rvq5FmjdsBOfLrR+AZl/+LTRN5qjvSByeemL7w5a+lBx54IB152CFp+NZbRqPkFkCLmItv4+EokN8otCugKg2957VHs5RDBtFcy8sAACAASURBVJYKO8YzF0Cy0e1NQ+gOCfU8dAGVJdKYPGt2c9fmWMOA9ExT4BW4F2HC6qubHNVoHRo0ZWRzCPfQkp3d5eJJ3pfeDuZpa16unGC+WUZ6fQdtlObMnBbTX4ewlCasTodH6urep7mHjRJ5RwXBSTNqzC4w/+trrkljR21NnrMcDewPcEM7x1LkhbyoOK8T3xjxJ0f1ap0I3Q6yK1JJ+lnV1C1CiA6EEJYtVmgCg0FK+xVdd+IGg3CUGV2D1OAoqcy7vDLjaKuRI6Ml/vjHP54GbDCUylOI1ZaZDqq2B7MrLNo93Sn2nntZFhGt6J8nfphUKowdjGC6fCtqPD4V389nJKEQks8SgmFDI0ZAydt/fOmLrNa1bXrbQW+h28j30RLr9SeEgdWe29w3i/gDYOZ76HJde+3VdP+PTHfc9cewjS5BOJrJxzIEoomfdt5WQG/6C3gWMFV4xx224/vkgTTqKRdJwpdCJrQjXhSBhitnGjsneLXDTm9KN//57vRWQLYFwUEfA+e096b0xDOAGi+9edyY8G1EWYF2ajsCNnWjsKL6eG2I+gPQbITcjdSfdaFmpluQ9j8HUez+6ZqG9Q2CYpdVtwMMBO7cRTXjTKNkUE6IaWTL6hbMI3PnzEjf+dY30mabbJG22GJE2mzLLdOue+yJ0Dq9khWvaLwsvjtN+D0L7MBR3MyFr5xXANaeTkQDeAViacV1HvQkqnUS7xtJ0CC7AbSU2W/SaLhfmiYAGw+1WBcQ7wXYb7xZXTr9C19Ojz14X/r2Of+dpjz3TGVKKs0O4CfISjU7v2gHQfew9cvnfoM7ap+hZJCHoml7bWPRDsCCI2npzdEb9PJpb4D3SRZoP/TdHyJP3kGerFDqV1AO/ofmbmhov8+v2xA1IEPRo4CI8m5vKjw8IMgfyQCS1j/1gR21GVNSA54TPdgPz11rh260eXr4nklpy9HbUD5ShT6mFY0EeXbGYZiPeObedpZt0qTb0iYsOBS2dWgpLWJ6sISGBtHwctdgNZAFjpQmGvhMo3i4Fv9ZcyBLq2VFS1t/Cq9aTBvC4gxlpwAKv3aDlYo4BiN6l3cq53QsufIeDCyjAJy51bZ6Ujr73PPS8BHbMtjUN3fZEAY1rgEc2/ieo8AOGE1+6ikM9V9hZJzRY/IlGxaQ143MalcY1XJlvhIiH9E9z3cchJEn7ObaNTsSW903vvqVNBU7rPZaR3Cdj+0glq08GBaaxaypU9KTjzySdnnzLuyqOxOAoRtMV9DphG24wYBdAbYSYhldq6cwFey55+7YngciRySohhWgYuaykNkBBz64rXZE5hHIepaO22zEZmnen5akZxtTGoM77nL2SVIzWoaZ4/H7H0g7Dt86jdy8Lws5qR0ijLyvZ4KC6mSBHARwgUD6AyDEa4audveAVu7TeBD0SFjetBAXH3YNXrQgyq3JJcCEvAnOZk1gVPuiyUvLFsxNjzz413T3pDvTzy/9cdp5px3S43+bzKLrL6Rrfv2b9MjDD6UPfuifsd8uAmRIQbsnWpIrdsUaqtKV9ELb5qjG2kLjGmBF3Qgc2Twg7/msAqzWO/EM4Z4V4BfNFXfkOmy48Km84Lq88qvuTQ6+6q/aAM/27dcrjXvzXmn3PfcONyQXXRG8+mKHNL4Ng2BqdWl2sD71wqApCiBugn4qyuav5FPgspfnPc+dPCAQmpeWaKSRHfymL7viKmzf0AJ+sXlQq4U4pC19qCu+HOmg/bYCrmr+bu3UykJDlilsvXzDHhcME/XtLhSCqou1NyAzjY3zw0WyganUs2YtYNPP6entB78FHqQRUz4I4YEBMGsiswzz6an1i0FU8o1Zoj/+r7oK8qkoh+/FlkjU03K0ceupKC5kI8t6sJ11YMggnM/Xvr/dC7JWgsQqxwp9vFRAXKGnDcBQk7TL58BDCCC0zbBhTIkuy+dzu4FxjzvGESJ1eJ467cU0bLON09uPPIb49mXsisBIMGeADsLvmgYu+vsQwDJmh7Fps82HwYxqWbbiPIj/tux8E45wimdoF/HF/Ecdrh10ERaixIysJgZ81Ft23nW3dNhRR6VHH3k4TZgwgcaDXCIILXY11eRgrD4IXK8dd2A0d3um/t6VZmOftevUOL8RTdtFyHHfwjuirheuUDQKPZniOg9f2o9+YiIMjTgBEuQM3gvIqlDG/JEZQtGANOVZwchK2mPf3dNNt/4+DTvm4LQQVbIHGspT02alRcwZP/lDxyRnzffEzxHdBiED+iC3W3IbHIxzQCx6EtQRbra4gS1IL8yYl2bgGbGcBsTpwNpvW9G8Xd922nOT0yP3/5lutcJtA6TI53oNX2jSxwkjTZ/+XHry0fvT1ptunq67+nJm7W0RIrXpvrulPXZ7czruuGOYUPLJ9KOLzk8fAGjtXqqRySd0cKN3QOL8V+gz0Fr+WKwGVpG3tH743AVp4lk7yFrPejAIrOTNxiD4wLSyQtAbOgkOfjd8Siuam9OddaGTe3rhnueAWNhf1fqhgyDXgwWo7XLLwHkLGPi7wmfu3uvCLDa+NAfUpnZUjigT8oxjEc3EkYcFzZYAI23EKhc0nn0Hs0YAvQV4pSeVpaO+daaCYiPiL/f27DECcKZjOagH6aRHR4tmGRhYX3VdGqNXBiXIRniNlB2PrbcmNAV3FHFJxzGjRpMjG3Js6JgZeJ13MaGwfKEDZU7S0OvE4K4MfIEz0oWGZkRXPflE81posnwv5D6zW6YRpV5XQveCrFSiQkO0oFlRAKWlLbODHSAtNVRxXaJbFl0Xn/Oeo8s62BuEYoOAaFATUB9wxojvHHjggemvf7knZscccNAhsZ+Xs1bcCtvKFFzhgNBkb5l+Uzrm2GOzixDMofbmgE6exhlcTeQskNa+rwr0JZSddc2FQQ3DbTaW053THPHOd74z/emPd6Qdx41jPji2RrUL/BdltHDZodyzX2SQ7s5Jkbf3vf+E9NNLfxbaQzPCFFoNaeqTiFNmaOAzpr+YjppwOIItXcwM3xa41I5WCJmGNkvmD62T3847bpt+f+vv0t2Pj0xv2m4kS3KndBsj40e8bXwaqgKMNOsTa7pqxDRTEtvXg775wnt6BDSlkWi/f/7zPamp7lniICzQOUCYKNrBNx3cL/3tvruZYpnrK8CFZ74fjQDlsJGsa2tK7zvuXeniC88PoHCjyx4uiwiY9Gfx0EUI7gXnfTe9edfd069onbbffizViEZH0crcfTOZ6y6ay0i/aIqaXmxqbBgFmgBZhFwNUTprErD+7Nr7zHjuc7bV8G1gS1ahsucDWOrDaX7dFSLoy3um3Ab9gS2AlXqAfPYg5EwHmcK3W8WB+pK/ghKk73cEMidyBLDSAITGSXqaI7hNdRAHGrmhvBMLQDHySU8M31V5wIVSnA1obZmWDUkMNlEOaR3ACri5RTsPonyWF90jQpSdNE1a317zFOUnju/7PGgUKA9doJGLp780dWoauc3WfJWC5BJFeuo+TsIwPwJsA5mKRg/Q1WWwPdCILMVE1LKU3ZFx57K3ozLg98T83rYWEZ+MrSNhZQld3QWDYMsBO7VUsMzxFD000qgR2+AfOjv1H4q/KIzZG4aWgZ0iGwMGCGMrRndX0A8BIR2idQJbu4iwc7zzF2ysAtwtt9ySHnjobxVbki4qmXl6UIm9TAPN1QGv3XdncRUYH7lrZzA5LnTDzvyzCorIAB2MI1O6MLGagIw5gHnXu5H+Wd/4Bg4CLPihdsrWHy0wrIt1tLUuZUbazLSAVcKGbTcqXX3db+hiLYYOlIWGwHSa6HZq422wq0c3eXMG9QYAMjxCC2BQSi0T7UNmNycly+YlXwMG3EfPSP0R1KGc/9Nhh6b72ACxDVNBE929IQy0bb/5RjHYZSOUmxPf4lyhMSGCaRaBii4zAxxf+PfT0xlnfD7TL96NqPFtU0Bu433wIDJnCpXkQjStS3+LsYsvxezQBo/UIWB9+AlmqKLxTC8HtehfXvHT9O1vf5f8T+IaUKd08hR//N8eYso19ViCPrZuOW5Pya67g2ZhZoCQTlARMKORhHc8ylFTiX/lpT9MEz/68TR4s+HRk406Nl1AS41XM5DaYAZe8iEPRCHhN/KFIhz3vK9JI9OQ10lDQCkmi/D1pbja67kdgCm4+gttlERtUAwtarbIRcxc5J5+vY7uy3PakT2K0LprFZCUCRyss2x6vmje6a3pgwFLyy6vkRAylvk31zlpyWMsQBD2eajShlllGmsrbDR0KGYRtG/S6UXjI5+YhHIkb8izLTRM2rr1ZIjZY/C93wplh+ObxmEOevSBiC8mHHbo26Kxc+wkbOTWrg1TZEZCrt2h+0G20re2O0E9UzEwCzQ74fjj0vfOuyC9870fTEuowEULcUNhgCi3aHQ5bN54R2dmRaYIkt1khTMAAYa1CqwMf1akI/X9BmyAQ7zu8dwDiExTblA7c3ri7htvDAOhWVqJcglB5i8hpwfjcS8DT8QojyvHSnxet1FwimE4rHO7Hm3jENy1nsQP9v8d9z66dNwDaFV12mDOfoDlsmWN6Zmnn8AT4o40mEEo9zZaKhiQpTA9AIKtrayEBW1efO6pdMhbD8haiGUGEDJiqR115DGAja+EVsJRme9J/vowejwAr4ZNRo5MB205Us+wpMNZ63Y7pkFwwBJmgNX3pQxojwqLTBEKTyGJtAlUxHUIO67zzt1yWvo4MJQpyEuEiBZnds8RPivO10Ng4kH8URsz9MeNZ3C/DTijuaQydZnSjCRN+/WlAaZRdKByRxqjS394MUllwJKtLJ9ZK7xhetXn8kYLabkWqZ8zrkLt/QjcKACrLVlewepBVz+lH//ksnTLn+5O4w/fAkDNtkw1UoMHKZ8vM+9ZPnkl477n0kL+M7KxoTd8KCv6U3PVJCCABiBybR4dkItnXMeAFkfwj8SQg+gFkB759p0AeHqCgury0EaJaCPAO+64YXpN2Mr7k9GwAtPA2CxLU8FVGjshwLTcTUNFwXzaKEgnPT5gQ7RkFB5mjv150u1p37334vPWO3WDQIftXmWZ+H0wrcjfy5cu5DmzDcmqJrCNB2+aFRqAd6stN09X/eLnaL18I+hI+fkoQwfYaTFXkS8HFrkMOskTa3voXpCVUpDL5cqkmpWjnqLwHXzg/unL/3Fmmss6kX032BjgGZgaqVRNB1aejbLMJBCqGchn/pWBTFZmML16+0nUpqtNNdNd/9nPfsYqV+NY1GJw2KgcKXXNUmdiOQD2MIMoXz/rG5Gui06YTmQujvlPEdQwyFfuZ7DNsTuimrdKCmg2rmqkttCMGrMdeWhguuL/4UHQy7VcgXhtVe6i29y0OM2bO4PBnQfTHvuMT9tsMzJdddXV4Ziv1tELAvVVM+Ff3x7L0yP33ZM+c/I5wYhhj4UA0sj1PaVKOx8qXJUSeT9OKaMj0hKjCW1ZzcIplwPoipNlJijQRZOO1o+j0vgDwP7RhcvoSfkESH/Wh4GjbnAxN9/YEqxCh4B868hKJoQLVJxV3uXcegtE9TnvCh6hUVJ2XYjqAfIS5J0wkdjomgdLyOthgyWfgsHLBdsjm3XLRwK+HlpajHbDFw2YNgTxqN+Q6B74Iz+VLrzw4vTuD/xL5MvvlkbcVAQPYTQaCjJgg5Qb5py/fB43+Z71AJ+R6ViikYGgMBHAl2qqGWArwBvXarDkmF/UJtqrZXWShnEFJC4BPv4QtGnaMAnojiNQOuIb18FIvUtw4XLLeAtO+fQYiZ00KLs21L79BpGmdcBP8sS5eVCLzT64LaSxdOG8dMfvb0qnf/SnQRPLaLmc/lxPN8jGSWB//pknIoN9GDhdiL1/AJMQcvmDYpTdCR5q7uSZXoYU6wnvuJNHL+QlbNeWi/TWBYClKKG0eOy+YDMcaoe2UStTorJbLBX/6U98LP3oil+l8QcxQNQXqka3Oi/Dthi/SLWmMhnB7qHBAQ0rhmSCcbTJCp6PsQpXHwBk9732wVbXOxZdoZrQ+hBSGMIu57PPPpu2HzsubbL5ZsxKcXttJBAmDnY1QYLniBRMK1siSHQNy/2sUsRl/BFHwjeWJQjNa1+WvDMveja4X9d7mGRw8fnnxRKMAptrgOrh4NzvoQMa0k7bj2bmzJ/SPbf9IfXaYKNYxX4O9k513vrFCyMPc+e8mLYYOjDtt/euQTtzGIM4AGzJm5mRJiEllNWiaA9UYPSDVJtqacMXcmDPNBcf2Xqm6QrgdUhGA+Xvy55aua2y5NnMEB8zUdNRuPlF15JrNXaDQCt4cIuQCZhp5nnc5LatZUfoaLjyfb/nu3QuaQwDEUO7zCYj0iHxHnRPDQ7AxbVgUcmP+QqBjxikJINVBU1CziqzfuQHQ70bRREEj+iF0AD1YJbg489NSef84OL0+9snpXe9+wNpw2HbpOWaseQHX7XxID8CdnRn+ZS09ZGAIB38ZRDmPi9lBSHXiaCaJ8EIrvAvchE/0vEoUKn5g0MBkAKNJgDL6D5xmhDkT4+WX1r6XBOIGWh3S4MGfoepHmw8KNCGsQTg1PSAfFFWbkNx0lCpgccXM4Dm2IE+ys6Y1P2wB6YbGwTr+dFHHsAPfRDytTvP4GHesYGzhyo1wct04AH7cuIVDQ98ddQBe8PTeeBQ+dOsIIc5eN2TF5aibPS0Rxnv8x55o0gUxYTlCuOv/aF7NdkKfXR7smuZF3+WUdV+WtKHTnhPOvOs/0wLdtk9DR24YZoFsPYZRFefrom2tNxyy1YwBNSOrqiMzrVaqC5cQ3AbUbBGsqjvQjYSFAj2R0t2R0tdqBRyF69uYCm9F1ng4pDDDo5pfwLhUoRP+566iMKjoEeoAga/TpVHqChnnBdBhmnRKB1VNw95EIMudd/+zN5anMaNe1OaN2tGOpwFPnS1ERQ1+LuM22I0g8suuzy14Vt4/L+chKvSDaznOTvyO2fGi+neu25Pk598PDXOmJZ+9vOf0F2jC03D5MBQnoWl+QXgQ8MLRlTFaQ/kWIDlgRtIGoE5S+Qhaw+LWxaivdJVB0B6QFh5ehldNcGzQe8FXpDZFQgBNoDF3gihXOdR5DwY1E6OiBAwGyQK8At0ilfjjyDUHpR0rtXOtZvaYAkaufGg8YNHnOjhvQzwOS++H4sOARLhqmaOKwlnyKt8wbSJ47KM9qFa6Fb7jdjokChORHEKqHvE/fcPf8xiLJ9Oex54aDrxlNNTQ9+BqYkuL5kg7ZxHu9GSU5CVSu0aLff9fv7xrHJuLuSLWIIReod2CkN5L3ibtPN51l4zv8Pr8pL1x7/gSN4VePXz1W4vyNooWk9gYAyS8ZSGlAvKqWx4H+cDgJBz8tPI9Nabbrk95M5V4drwhQ6a0e1/4YWp0JgJAk3ZfDJ99rw0j7Uz+g3QTMI6xgvnp3vuvotFaTZkMfFb0zuOPDx6p9rRhW850F7RdmNGphEjt8KURINGD0me7c+UW9eODW8N6GaAhOYyxifkMYOrtTktuwQbIS+rbpVHa92xm0EWSkFMCWWn1mmucJUqRHQRliNE38Xx/L0fOikd/f6JaZsddmFkkrnSTD0d4BJsaq0wjEHAyCDLkTS9JkG2qpgbQiizuqPsn+64PT386GMhOAEI2J/cwVWb22K0yzGjt42EdIjug/C5yWEIhZVN1uxqVT4Z+VZI/W4RKMtTHQRyshHCoqFf4/30F6emLRl9dz2AA/d/KyPnl9An7xcaRT/Avo1BrXkzXorvvhXb7cyZs2N1e7Xu5Yy2DxjQKx1y4L7pg7gvjcPNa/w+u4f2rzeGi2freuNydwJsyBUZkhzmLQSaDCtYPpP2ah71TAhADnC/YgAQwenLlQNoIHdoUG65HmXlvmLTTgSTNRHJI30gjvTJDYsPTZVgj8VDfDcDjtfWS6fAc/PqXZONI/lx5p7ndl01GWiXDNpyz/n7OrmrdQrhxvMX5greyylmPqkQIqop4kKLIsgCrEEAcktzV06bw8aVp3/ulHT/I0+kj/3b59I22++MfdzJI6yuBQA5eSQWEydPeoZog9YjIXIg2JF6bEcD7eNYKZ88qlLhCmx8MbRwp5iqrQVygpoFbGUpTQ9BK8low8YxQJWjw7EOeOmo0WKjg5YoyAq49utcdUsw1uUr4AuatNCA6Te7nOUKe8BzLcwe7NN/EHxAzuAjGyfrUC135A47cU8gzHt3tcETS0izP2CpSUFb67ixY1BiZqUfX/qjdAwgq9w4KC2A5EkeNPjkojcDlj3wwxVooQCNpxsiUgYrnSA1wreZuDaIIaNE8PtqzqRGehROPpPR1oHQzSArUTPzSDBbRYmqYGqz003r2KMmpN/deH369JfOwl90fhq3255pw3590D7RSukmtrEUmkwmQxnsKlsRMqSVqhOLjPvMU08BQPVpv/3egtbaO/YrchRUbwJXFvrTnXeySMxxsYWHttNgNlpY1+HUUboOTRNoinTD1iaq+r1Ac8/8riGDbj7nOWBtlhy5draTU2A3GDwozZ4xI9x+jjn2nemzn/n3tPcBbw4NQ6HtreBvO4KtwGekW2++KdVhF+uFR4K2NUdo99lnr/TZ00+DYWVIuucUvZkGQnuvQa1B7U7wEahyTstfbwhy+T6yy8CPSx4KXGjDCKlamGW0G4gyEkztNtza/QzGMFhVPewTkoZYGWnySI3d7nLgZ9QHzypqvrBjUJgi+NIKoTzzGN/glZgGS4IKriEAh1f9RsQB5JZhf7SbadfZ+fHmf1XBdwXWOFJe0zYXaoBOHukFwM5YsCid94Pz06U/vzwdecw70slvOxrf4UEJziBtCa+u5TRetHV4Q3YQmAQAQUNedvAmjtwvW9JoplEjU0kPn1vSiO6/dIa8YZcFMNVWszZrvjJNrSvPjee6HtmcwD3yLg3i21y1ooXq36vS4n3NEGBbPDe29Si2u4BOA0pAE7yyAYO9Z555ZvBRL/JtWfyGdv1mTFR5ZL81Hbz3uLTTAe8KPnSGWdhmeT6TlbnaWK6wd8+BmBtwtTSjlE3f2R4wqhNtrOpe0LsHvSEn/bjOgyYMvTCMbfm0JlgXrciVphzFOuTHBjC0d+3zyryNbkcDyStrbeh2kJXZo1sSJJKoUJWgxii5e+MTedC+u6TrLrs4fezU09Nt11yW9jngbezZtSnzpnFrEmSdG10hvEBmiE37sC8ub2HxFGRi2LAt09Qpz6b77r+X6X8bx3J74TxOZbcAUPxJj/3t0fT1r3wluoy2ptqyZNzQZOGQjnwKQzmUM1ti+JJQ+X48zmCvbczZNM7Mqcd4rxuWGyO6HXYbWqSLejzFFMhYY5a8NJDvOpZ9m8tMr7fiNTCTpeQenvxsMLsjvFljRcARBrUEmS+bCGTPHMDXCohU7sWBm+aTKJzl0P4YbRFfXYugMEQEkED7ONT0D7hS3srXlXatPc2IZDz7y4RIp/Ju3PBeOXmVRzHcENpN1cth7+W+37CsBhcuN+g+FeXgPIOeieR6EXSsxxYAKOoVejY7qELPyMkVzz4/Jf34sivSL351Tdplj33TKZ//Kh+ggeRXp3mA8lhuIB2w5HvWbZQKTiDdmB3l1+VjrgNIOfr16O6CxlFlvBc795JS9hawCRdEAaD4cT+yzHZJgJmA5Bocdr9dvzYWs+e7TZRfk5Tlc5ygBwpDDzxT+rKhYm/8qMPe3G9wgK4O/noX5E034bEGZp0hQ/374G88f166/pqrAGN6L8oeblzmyyDP9aYibJT+9fNnpR98/Qvpodt/lT59rgvJL2MQd3T63OmfTM89/WS6/Xc30kDDoygEDaShlmyodwIQIVchwKq7ACGWsYQG1lA0VHFX8nVAT8YEK854vpf/ZrpXXliLDx0l7ZZCSNoS8rnCoXZiV4Ez+NRWuC5tPmRA+uWlF6fLr7k+fffc/0Yr7JlGbb9jGrblcNiLWS5Kmu5YvCczwKKAGK12M0zEpoG0qemCiy+J2V/a2qKrRAsOTvFD6GBOv9ebLpIru8/H/mnXW05XGGUAg2krWHFeuee5Cm2xyQbYZsRFyLO7UUxBxQ1r8NCNWOqPAQcGubRF2cWMFaJw0/IjErwOP9kmlsf7wmdPT7ffdgtjb3RLBWWYX+1clxkBdhmrcmk7zqxblRkz9Aph5diZ/p3ud7rIz18h2TX62OzJL9WhZLkc1STV6gUh7bZel4Eu61ItTa8O9636zjnnpSt+dV0a86Zd0gc+emoavCEeKYIo4BoaqTxJvSri8kODFU4aAdbBsTxRY+Mb3jOowcvLtk8Bx7wfg3vUpVqr6zhoizWPNghqdg7g2RuwQXBarTOg1BrdJUH3qmXwqoOAS7Dru3SmvaWB7Fk35annU9P8OWkQADYX/mlmHQfz6uxAPPCiN0XG4ls2LG11rBlAPgT9PkQYsdXm8NR8tFFMCWi5fs9yuJobVq4wGzX0HZQ2GbdvOvb4iem7n3hnOvVr/5Vmz5yRXsJHdspzz0XeBWl7HMvpddVjchMUOwfpWO7kZ+2X5Xb7sby74rE9wlp/0s0g25k+KwqMT2PEGGCx+64GcfxxRzMb6+h04+/uwP3pz+mu234TSwa6CHerXV26voXB7VC4bYVdafdEUoON1aCAKgZLQ3Dq0XxdZMXl1vT7k5k+99lvp+1HjVBFgBcQTgTHtBSwMBVwLwcEOITJrmNHyOygZsE3BFG5mJZ5IY71LkJ8yic+GbNx3KxO25USCFsG8+fvYabYaED4Jr6LpRjf8973pQ+feHK6+fqrogu4205jw8zRty/O3gi5Yry+h64oIHDFoJjNk0DmiAu8JK/5zN+1112bvvT1b6Zt8Cw58VMs7E7viCXP0iLm/AuuemVKYxv8AFjueV/s8Jm1b53Hj4wIwLBRBHnAt50F6FGtUDusOqlM49z9BnjCnptmDqfi5p+8JsvxHC26B94fKIeVd5jZ5VoWxLWjDYelVkxpt11912SaLQAAHMJJREFURZpw8AH4NuMOCLahi5IP5QaTAN9pREbMWQM7EpivJSgTDfjJzmUgeYstNk8T/+UEXAIxIZBPtVgbA/m6pwUiuAbwEmjy82t+E7T49HlXpu+eclw8+8UvNk5LWWFuEzwMwkZOA+CW4rXwyhRYMyBL96eiHHbKkTNuIghkMJSzPbTVuMLQMUfsn445bH9G4k9Pc2bNY8GV6Wnu/IU47NvFJ57gw88uvzbWc7Gv2fL3H4yzPCsIxRKGMj9p98JlqYln/Ti2Aay67lxyycVpEHP6zYEspgCFwFTylGGVv2R8xbyXbOe8h7IT2sKUqdPTCR+ayOrxaLEMHMxjUMVl75bhLtaLhURi4I8v6vbSvLg5bc2+ZBddcJ7mv/TDC/8raxUsBjOKaYvm0Y3mnDRRGpX4Xu1PJwpU0yY0WZ+CgEtpUJ94fHL61GmfTnffe386+dRPpe123i3NbFyMqx0uSvCau6EKzA3Y5PUQDoClfvQ5rYMPxR5NPpkvMBXIT8byOf+Mn3mHD8KLeQQdkDULgJ6aauxrBd6G6yE36vieg1bB7zIWYNesxwkKxDJ40wW3+zPApyugJpPlLp4OMDY349K3ZE764Q/ORGmAX/nku953clrYyPrAgKqDu65dbGOvJu/Abm80eG3wPRj0amawNY8roXTAW/W6L9KQxMATpZDf6umJua6Ge8LZM3TSyUfP+Fa65Lzvpztuvj4N2nDjtOGeu8U77mxgmWFOKd4pFJnqdHM9vuh+kHUEoCpYL51CBWBjgIWK7Ydt00HSqKjKq5tstEHamJ/34NeoWwdqdWy+4spfpBdYHGb6tOfSjb+9ju4XAxvYRfUTFDrtavWyawPTO/qvRjtv9qz0LxMn8r6zYrK9K+cJQYGhS3AxZzeGi2mM5Wb7MWs34fjtdyiYn3zm+efTT3/289gWORvwsxhqMsjdWWe2sN4Ctq5pNBw/OP/itM9ee6ZDDhofQm3ydkmdc263NLqe7d/sfFINMJ2frDtXK4tw12VTa7U75BY2kybdlT744YkM7mCKYX+zn/z0stTrV9eG69es2XPZNmWraKBjai0g46QEB2JDt1PbrPCBo/S5pgHKSuta6B6XxNMFUDfFArLWWWiugiigJ887aUUeMWRe8RwFQDcyvGlch8F9w2axoaWmJ3tmC+bNZ0r1kth+aP7cWbgr9g8B0M9aW3ATwNuH1Xp6YDZTa13CTCu7am4hXwdv47yIK+GiNIRVsLRZSMsYLIzZh1wwhhAj+JQxFoPRvMHtntDQrYqaMGE4aKw/+chxu6THH74/3XTTTdE7UFGIVkS0r4WXpUD3g2zl81awveqOwB0BWEO8XTMA0xFrF3J2Sp6ABa9T6XnE2aoMx2iZGQZbbjede+ede3aacNQxyUVWnNutw/8ShMzl9aIbCSOZvEGXLTWED334xNAEdOlRMBUQGV/tuDqYZwXHqYXKSxGiiqxxg84p2kdZSFrh2OvAw9L0GTPTJuz75Hq5Tj80bUdpiwuRK8/3Z9R6u+22S9/45rfT177ypbQLJoLejELp5hODXLr/qPloQzEfNka1sBIFghfQDnMDhnmHupLO48czk27EyPSVr38vnX/BJWnnnXdKB+I//cLzz6QPT/xQuvaKW1jkZnNspoInP8gsrgqyuROtugkPwov5LC4DqPJZ/hsDk9U3Op2j6VZ4r/p2SU9uc3Hz3mih8rLhyqt+mx7FBfGIo47GFjo9fYZtXX72kx+nM798Rrr4ogvJkGosB/i6F4NfyxezChoNsgvYNLQs4AF+vz36ozljz8WnenCfHrgLTovpy2bFdURiAA1lhlJbYN7hR1BOHAgdAG/Omf5CAL2ysQ8TEP7n4gtTXwDcRdV1H9TPNkac86tmqSTT5Z3Kg/XusMZAVspan51hjBsFAY1ADHQ3IomuLN9GtylWvAr7kcxPV9tEAFBTkjGt8P0OeCs+sMRnDU8Xu9Y/UTeuZZoNYD4lScCya+jMn0FsEqd/rUHfyzyt0A6SieeQNUh1GFp7nqwSZLmvcMfCGICg33T1o50c9ILBQ7Mi74a8HimzrogX76DN6jM7ZOMrwpbrrCtL5QZ45iMGyzj2JH5HriKp9ftPYaAKUWzApKe3qeII+tm6Y66LSA9merWTVhz4bFrE7grYJ+v4DVIDpNUPl6IKjQVEObAjaBrgHt8SgDu1wYCPwUHVCDLIKkJFITbhyvtotHFugnh3ALCRd2YO6IPc4EAV2msDBtpWNMk+DE71Zw0HzWIuGtSA+agZzxTNDDuO2SbdevftdPPdCXlRYkJfOmQ/dmyGEPfc+lt8XVE01NDpxY0dPTzoENganJYzGzSzLHzXorjO64hhG6fH77sr8umw1u677MTCMBvi3YE0tLCtE3HLbEPPS6imXL638p0Sd306rlGQXZGwwWwwemwpIyfL0AoM3Cz2eoyb/BXo7NrFwAKteStAWo8NqokWXYtaH7a1WIrtyZlAzsFfzIwv1/l0eTjXR3WL8EYWOnYa4SwWrVDT7cP0QYE3OolKE0yfNUbSITt+uzjp5yvShiEjKs8FfbttPfC7FFCbKFAdXb6FrDDivHEXUYmuP0CNCAEGaM4VncWuoQtLL0P16sfIsT6NNhvhcE+5zUfOi1+uha4oUE0jeUbQWEbdP/bY44DswvTbG29Oz2NO0id0CbbKRSxCvYyFcK7+9c0sMu3Ggp2BIHiPWqpO1/peKazqZgVoTaNyCmSrMZaQG+ui89mEG8+ZeyoLsGL6630PkvcnGJe7FXtrY5o5Z0H631v+xI6w89PNv/9j2mH7bZmcsgcK7ZL0pS9+MX2lNw067+uN0gPtsnXRPECXSQQNgzkqQzQQ0KSXkwTgrxYa8Xp7V+Tfxly+dInLzO4OpLWki35wNqIAT3PTht9nYc8lMWcFxtoiLvzNBwTbLKeljLXjihRYrSD7om4eU6ZkWxcVJ4C5mpa2zSa61cNHjGSh7M2jUrTpOCilf2lhupw5GbyD8R09jSBTI0GuhFQPiPIX9xvdTrItVFSWKXRYd4YKUQAxnil5sJLuLjbVy2jVVYfVkNUMSmiXGZmS/BpMj8sA0rjBOzJmpGg8n8rFEXI+LXNMvKAMAq+zhRxc0CE+yoJqExou7ziCrfnCsvTWgRtPBM99X0uxKcvktSAFsuYIgSoh15H0VpONKcbyFLel6+WXX55mzZmXvsXyiK49de+jT6a22/8MYhBh6Dbpk189J7RQLa4VXZL6zA2bwCfIqtlpLABW4pve6/jlhtBvCezmwxBeCRz1c9WxpJWZY47nW+dhv/dIerEYPLwTaxkDVAJuKwOd+dv16Y4HnoYB0C7TgHTmd/6b9JvTJz93ZnrH0RPSm3bdg+Uq29gt43GUBge6XGyd6ADvVkx9nfbSzDRuzwOgCw09xc3uxWSG77nNu9/O0Gl+5WmO3qF8fVnGsjoU7vaez+XKWPCpEkmAzfcpa6SbH5T32qurEn99PKwWkHU00275rbfemk466aSw5QwfPjy60QvRHF547vk0ZOjG6aCDDmIA4lKqiYqlZoOhgupWcXXwOld9BztwrYCEYVetL1fjoP4D6AoyEg+b9cFcoGA4WtuuEVaSrv5CVLwaafkk5+3dOu4VwPUd238FwLzmK48wJZFyPPPZEfx+zltF6OLtbHKIgROy7XPT9LofgwqhT3BfAQ2mhVmlkWnVwstTIIMcQGlXlgZX+uU1GBrSAQcckLYdtzsNFi5N2izdgogRdN8RmJ351IfGTU2ul4CElqbvqLwck0lojJm+z3PTZ18vfKz9+Ty2aTEd6s91gjUZaZ/3F117uvfL2BXCLrtg23GfVdh41qzWiRCodQvIpuEUVxsLpxAbX+B2goF5W44JYclCfGOXNmI+qE8/uewqbPlfjjUydt55Z6a8Loj1mZ975um0IYNmP7/qN2l/BlOdCZanYQvDpEdjrzlNs5S7IawUQqw6pEVc9dbLsaI0N45KUzXQrpT2enpjFVR+9ZSQuAbtnDKFzDds2LA0atSodMIJJwSTPPbo30KrGIgddMiQIeF07Tt6AMhQpRX0XgSRy3Qrx+ynyhO0S21o2qIMMQ1TjYDWuzfaIk17WjBzbho4eAOm9uHyshina0Zum7HV2k77N4L2pwjl6AW6xUpcJAyaDQTJz/qcPxlsZbqSImWonGpTMwiQJUQ8R6ttNNojBoSSFpoDgu0anMtcqKSitupVgDEkBmWWM3JcXitprt/HUm+Z6NEoQcdmwEr+k6aLWBVN1yuXdQwNEhpGn0CfVGbbwUnxzz6Jg6z6Usd0Y5KUx+oA6zqANWZ88TmbY2dhxbRjTDyxIDVAZQOsJd33wWyekyItoxqk07UdRFrGwixWqz2aOmZo1dXldSRixqI80cPdZ9HG7dOzFZNDYLHzLGtJOLuxRZ7DK6YfK/o0NzKguxzPFAbLGlmd7a3775UeeuSx9PnTP5Uee/zxdMftt6eZL72QxrLeRU8GxfSWWLrEmVn6kjPlmwahNNyxQ0eFkYLPKYsyFqGwdoWNO7jZp5U4OWb7X+OUuvBmDWzbSYP8FqTsuPeKZyu+4mwVtYOvfvWr6dxzz00C6lBWUI+WmNa6kVZWgBWIh2BANwiuy2AWGeDlQl6zgCq0BeYXYBUvZODUd9bZVcgFzI3NE8ZyJpd5VLNxkY925uG92G3W9ytgW/jJFfU7BZ6r3bpkWzBQPOTrVRwnExs68sSnKkwYe4bxzHwYT5eswp7CRAHkRY0L0qD+fdLAvnhU4BNZNHDXpJWmKzVCfnC9DlLPkKmpVqh3h7PrpJc1opbayCpSrkLVVIetE0AUXQo9Y+CGiEFb+NNj+QmpkXrQnkhonDHLizjl/WAVWt46eMMdguUv6zlct+Cb7MIF/wGQTgG2iZWXchzMR8QNUxRHv+u1XhHtgbyaRrj90QjoDeCGkziA48e6PG00eECax1qteqm4NY5rfKgNa3qayXoYLsB9xBFHpRM/cnLae2+WH4RWjgWUJSrzwFX+btCgfLgaZKv4PASgxHmFo/Q3FK22Opn8ZP37+7pAVuYwWLlHHHEEs0q2wFVm57TtttumzbG92rWSWTID52XUdFexayXD9mTwx3NDAae44E8BrnI/V1aH1hjvoDk6TVF/VAe3BHVdpdxJtdg987zokqog23H+as7UYg2IA39lVv/moPB1pWbm+JWIHNwqp5TJuzYevu7CyGpdbjhn1zCvu4mNjucUhe8Vtu1Ia306g30irNgGFhrYKNl4lyNGzgAtec6tjHqjzQaftjfSrDZGXfiLQZuo09A123spOe2MeuW7hdd9Zv3bKGvXD1yqZDLSi8a7cIj4m+uv+n3T0LxlKHwaYO19QTee+C6mBv207cEB9gOZ0NLMnlhqvQ4AuzaHSzX2YWlNLcua7Xx/FstrTsFscMMNNyCDfVhS8zJcG7ENYyJQ7rKCQfn9EPFzyPwd5xbKy5IRb5ZoEeHV/YmyVDDi1b2xbsb6u0G2MEs5Spbvfe976f77708nnnhimA6KZmscF4gQ/PLq7RrhaaG5VijUQvJCzYUpAR6YtDB2IXn1df6u8bPGIAjJOKapBiOoxrm+OcZyoGulkN/vgMuVIrTfyN8mX3EH4KswW7HhZuDMAtn+EielcRAsEfsAWNckKCFAFnF19a5wAVNMoIndSuli+gEcr4W7y0fWgeMrgWyYAyqCrFALst7zXH7Is+wgRLga0a2P+rO+4AESt36yJpqVgdyf9nkljjSk0s2HvFCOoRlHrVYhEeC0cqOYeaNaXvx2uTaP+RM5nvwaz9BmBW03S3R3CWcqOjHAaeTu8qHmrhLj7Cx7cPpo16FoyP+WvwHThH2wM770xeT4yEUXXRT8RFcv5GWZZjY04I6gTHQRCuh28fjlbkedEKGU9+XirqvPXjfICgiHHXZY7K2lmcCfmq3aha3nQhbm6NeP9TljcIq1TLVBIhRtOOrLRDpQtQcqM0C2/UbViRVNQHxCKEp3PwSJ9EKbsZvFY5nMBptDHFcGU9OqEqJIufOfAuzmJ4QiHitEIaUhcQJhh3aahaSkUkDWsoYXBd0956wbZLzQVMmsa4PW4/tonkM4SNQlG52koTO5o8frc7A+q0Opl+p72mJt2B0bsOckTxpCwCutIRwRDV80kjCH6aghqje6doXdhqhd2THq3MGcCvD6hHsmJb96NJ1yLPzl90q9RwY6/amAGHxcgIcPkd8K38Q3fUHlga+YPs/Ni+2D77i4eNib0U6d7aiNOFYmA5iVAyc2uNCQstCf+bFL2F1j6rRp6ZRTTkk33HRzest+ehzoxULPCrYiyY4Q5e64zPJRua4CWaNVh44kCv9XylkdifOgTaUxXOHROn/5miS4tEoe//CHP0SLatfFa/dlz1t9pLRgwYJw0WrEw8AusfOpl7ANsFxTWvBXTeEKyIYtU0atCI/f9OfU2WAyxEANcDEDDmGu6FAeK59aNRN0lY8MsmQZli/CZNwsZO2Q6x1vt4dqYQtPBJ/TXTPIcAVkXdzDtTjL4uHNnAvc4V8L1gq063N4NSDrtFT5yR6BDav1bwiwkj9AAkE27Pu2vvCPDZpanYNTNvUVCA7e9N0CQPbUc311gKrgbP17bKNhL0GlwRCAwlG+LDzjAGpH6DiPtCu9LReoye9m1aPwgZqsNttlrO4mdyxlIe4y2KzywvSv3Oshjitqyfeum9EbT4lNNtkkfeQjH0kXXHAB28McSANEowLQmmvxvZQz8mZ2O4rTkd3VcCYtLJsh02U1JLqWJBGabNb8KoxHxsNuU1WAYvMqt4JBubBbftxxx6X9998/vAp8LrMbv5yX7tOqNJCI9Jr+yKRwCGHNVliHcGR+zHmIjHTxpzCWjxWaEqpBuPo8s2FHvBK/dlw1BV6u/kNbpTEuGqd1JugFcFdAr9RJO3+2a5T5eyX9gj8rHjujVAd/5Le74s8V43VV3zQNBQXJb0eDU/2+DXIlr8E85VlOM4N4a/rWt76VfvnLX6YRI0YgM8qu5inS5NxPlGN1vqt5t9xfHUfTLXRdHem90dNosLClwNXgKoB67bOiddoNk0De96fW+vDDD6e3v/3tAbiaCQxqEgKxcburogphS97L9Rvt2N3lf6OV942UH8Enb9ACiKyQsbDFVt2rbuiqbr/hT1+J/8Ouj9LjYPSNN96YJk6cGPJcZFqANXgsyla+pvlBhqsxISKuhj/mucjFK+V/NXzuH55E9KtWRcgCkIUY5lTbl8FRTLsk1157bRo7lrVPqSEBt/q58bxftF6va6FGgTVJgQKy+ZtZwwub7CoysbaCbLV8rqJYIYMqTHvuuWe6+uqrY+xEYPOnbAq2BfQKDhRwLderSvf13ivgav7L+etN8436foBsqaiivXotgUvhvXZgIWycVE4eYMj22B122CHNmTOnvcUrpgJbUDXfYh97oxKglq91mwKaA7K5oKsueS7/2gqyRUa7qkXlUVlWAXqeZTjnzZsXi+b4XtFmq99d00qR+Sj480plqc7n2nTeaeCrmugW2F9pzXT4LkFN1kGGv/zlL6HJei7wOgBRwLmM8PqsFmoU6C4KFAHtKv0QYmwFHfbMrmKu+v6rSX/Vb+a7r/T+y73rs9cLPEV+VZL0Xb/77rtjunEZnPYb5nFNaK9+a1WhlNF8lPNVxVtb7zVUF6ycl26E1wZbw2oAVjs9//zzw13LOAJqGeE1vu97v3RFvFcLNQrUKLD6KVBktKuUiywqs9plr7jiinTooYfGGIrv+L5AXJQj7wl0K2KA97s7+N1Snu4A28nnjE+jTxuXbmi7ME3o7sJUpd+uyZYCeqxu/exmlC5/KbiA6vbCEyZMSDNnzgwtVuJoblDLNb7vORBWiFb1zdppjQJrjAIrmgE0H6xLochkV2XyeVF2Ntpoo3T99dfja5sXUFKbFUxLUFnSJGgoMl+evZZjBrVJq3h133T2k3emU0et/KiUR9wo5yvHWrvutNtkCxh69Kf2OnXq1DALCJh2+wvhf/3rX1d8Eltj8etSUaVCvfbcXwHstYsstdyuKxRY10H2lepJ+VMeVYAEVYH0mmuuYU2DvdvHTJR1Zdt4Y8aMCbkVA7x+/fK7MqDeeFJdOmL0+JS6AFrLtK4ArGVpKIS0EmzxCth6Xgi+YqFLnCuvvHKdIoblrIV1jQLFb3TFcnVocCs+8bri2bSS69eq4q5t91whrwRluQCaQGvvsyhTRc5L3NV1nHD62Wnfi05LLPGb0iq02dX1nTdKOg2lpRNUDYKtRJfQLjBRKqAcXynjK1bMq33vldKtPa9R4LVQYEVNtqTxSmaD8ryr90s6a+uxyKlKVgFVB8c8LzJb4qz2Mj75aNKIMG7FhCefk8aPPi2e5UddaMEPn52ePOPRNPqIi9pTOPGGtnThhBvTSXVHpPa7J4JfF67C+rrid1aMd+NJqa4q7a7y0v7xVzgJc0EBWolawNZuxZZbbhldCtOQ8IX41Wn6Trlfjis+r76undcosCYp0BVIFhDtKi/leVfvd/Xe2nZf2VexEmw1JxTTgeUovdvVW6bJ6ZyvAYP7np1Or8a/CrDtezY7WBRjrfdG16VHA0CrcjHptDT6WhVANpYkhPnhiDrAVVAGp9SOA0iPSCcdK/hGtMqfi9IRHwSkwbNQoivxxo99Mt1ZvmvMVQHvK5g4qr9Sfc428OxGBaFLECgluGD72GOPBciWex4LkJZWrhzL/ZJO7VijwBuBAl2BZAHRrvJYnnf1flfvrU33ld0CpMqv17vssksUoVy/nvJ0PfBFqp1ADOAdPzqdNm5lzTMAVM31zlMDFFe8jvxVADprsyXHK6fZlXdBV/dLSvmYteSHaQQ6gXHnSKu8Al9zS1ZAUkJ7LvE9L94Fgq7X/krw3HjVPwHaX0mvxK0daxT4R1BAsFzV75XyIriuywBr+ZXR0nNdlcyuHhmuaJcVBc0029puSCdedESqG39OmhwV8WR6FPvBvmNHr1QtE449MaVJV6bf5ogrPY8bo8eiw772MGqMhouH0xOdviGoZrzLuFdlhvg7P9WjtGQFPDUTaJeR+HYfPC/XBWgF5hJfEC6/6njVcf7OPNWi1yhQo8AaoIAyXMC1gG0GwazVFhlf/VmZkC68QfA8LX37RlKf/AQQh412zBtjFEzNtk7brtp2e+NAw/AaCREDX74ruBaw9LoQ33ueWwnlXnULV+75TkeGOswK2nhqoUaBGgXeWBQQQJXXAqQeVYyq73Vrjqu1z1FjYhDsYVXJCf9ooL0xffu0SZiM/36zQFf0ihlfPhRMi1ZbwHIEy6KtKvi8hFJJ5bp2rFGgRoG1lwJrDGTDw2DfdFxYCEansfT3L1qFT9eN1+ZBsiO7EXs7faMbtOqOES/4onQZBM5yvip28Xn5rep57V6NAjUKrJ0UWCNKkyP6ukideEZl1teodOoZdMax044/p8Mwarc9R8uDXquHoivYXhk06/SNUUem4wT8rxV7sV9dwTXs78xIw98Zvxa9RoEaBWoU+DsoMCmdhhvWaSu80clVy2cTLkxtT47FT3Z0qmuPnAfNqj2rVkjmNV1e+UHyM6m8uuI3APw7b0iPYpMd3Z6RE1nv4AZmqBwRtuPy5qs9/t17fL3ahGvxahSoUaBGgRoFygZENUrUKFCjQI0CNQp0CwU62WS75Qu1RGsUqFGgRoH1mAI1kF2PK79W9BoFahTofgrUQLb7aVz7Qo0CNQqsxxSogex6XPm1otcoUKNA91OgBrLdT+PaF2oUqFFgPaZADWTX48qvFb1GgRoFup8CNZDtfhrXvlCjQI0C6zEF/j95nA/5pZXidgAAAABJRU5ErkJggg==)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
0,41 mm/mm
0,87 mm/mm
0,15 mm/mm
0,54 mm/mm
0,27 mm/mm
Um sistema de irrigação tem uma bomba que opera acoplada a um motor de potência de 45 kW. No regime de trabalho da bomba o eixo gira a 3500 rpm e tem uma tensão de cisalhamento de 4,5 MPa. Determine o diâmetro do eixo de transmissão acoplado a bomba.
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
71,45 cm
32,25 cm
33,25 mm
51,79 mm
71,45 mm
Uma barra com 6 mm de diâmetro é fixada na parede como mostra a figura abaixo. A fixação foi feita em A de maneira que antes de ser submetida à carga P de 10 kN havia uma folga F igual a 2 mm entre a extremidade da barra e a parede B’. Determine a intensidade das reações em A e B’. Dado: E = 200 GPa.
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN
Um lustre de 20 kg está sendo sustentado pelos cabos AB e BC e os diâmetros dos cabos AB e BC são, respectivamente, 12 e 10 mm. Qual é a tensão normal média nos cabos AB e BC? Dado: g = 9,81 m/s².
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)
Nac = 22,13 kN; Nbc = 3,27 kN
Nac = 16,09 kN; Nbc = 6,09 kN
Nac = 45,12 kN; Nbc = 1,32 kN
Nac = 58,96 kN; Nbc = 0,98 kN
Nac = 75,48 kN; Nbc = 0,88 kN