Class 10th Physics & Chemistry AP Board Solution
Improve Your Learning- A man wants to get a picture of a zebra. He photographed a white donkey after fitting a…
- Two converging lenses are to be placed in the path of parallel rays so that the rays…
- The focal length of a converging lens is 20 cm. An object is 60 cm from the lens. Where…
- A double convex lens has two surfaces of equal radii ‘R’ and refractive index n 15. Find…
- Write the lens maker's formula and explain the terms in it. (AS1)…
- How do you verify experimentally that the focal length of a convex lens is increased when…
- How do you find the focal length of a lens experimentally? (AS1)
- Harsha tells Siddhu that the double convex lens behave like a convergent lens. But Siddhu…
- Assertion (A): A person standing on the land appears taller than his actual height to a…
- A convex lens is made up of three different materials as shown in the figure Q-10. How…
- Can a virtual image be photographed by a camera? (AS2)
- You have a lens suggest an experiment to find out the focal length of the lens. (AS3)…
- Let us assume a system consist of two lenses with focal length f1 and f2 respectively. How…
- Collect the information about the lenses available in an optical shop. Find out how the…
- Collect the information about lenses used by Galileo in his telescope. (AS4)…
- Use the data obtained by activity-2 in table-1 of this lesson and draws the graphs of u vs…
- Figure Q-17 shows ray AB that has passed through a divergent lens. Construct the path of…
- Figure Q- 18 shows a point light source and its image produced by a lens with an optical…
- Find the focus by drawing a ray diagram using the position of source S and the image S’…
- A parallel beam of rays is incident on a convergent lens with a local length of 40cm.…
- Object is placed at C2 Draw a ray diagram for the following positions and explain the…
- Object is placed between F2 and optic centre P. (AS5) Draw a ray diagram for the following…
- How do you appreciate the coincidence of experimental facts with the results obtained by a…
- Find the refractive index of the glass which a symmetrical convergent lens of its focal…
- Find the radii of curvature of a convexo- concave convergent lens made of glass with…
- The distance between two point sources of light is 24cm .Where should a convergent lens…
- Suppose you are inside the water in a swimming pool near an edge. A friend is standing on…
- A man wants to get a picture of a zebra. He photographed a white donkey after fitting a…
- Two converging lenses are to be placed in the path of parallel rays so that the rays…
- The focal length of a converging lens is 20 cm. An object is 60 cm from the lens. Where…
- A double convex lens has two surfaces of equal radii ‘R’ and refractive index n 15. Find…
- Write the lens maker's formula and explain the terms in it. (AS1)…
- How do you verify experimentally that the focal length of a convex lens is increased when…
- How do you find the focal length of a lens experimentally? (AS1)
- Harsha tells Siddhu that the double convex lens behave like a convergent lens. But Siddhu…
- Assertion (A): A person standing on the land appears taller than his actual height to a…
- A convex lens is made up of three different materials as shown in the figure Q-10. How…
- Can a virtual image be photographed by a camera? (AS2)
- You have a lens suggest an experiment to find out the focal length of the lens. (AS3)…
- Let us assume a system consist of two lenses with focal length f1 and f2 respectively. How…
- Collect the information about the lenses available in an optical shop. Find out how the…
- Collect the information about lenses used by Galileo in his telescope. (AS4)…
- Use the data obtained by activity-2 in table-1 of this lesson and draws the graphs of u vs…
- Figure Q-17 shows ray AB that has passed through a divergent lens. Construct the path of…
- Figure Q- 18 shows a point light source and its image produced by a lens with an optical…
- Find the focus by drawing a ray diagram using the position of source S and the image S’…
- A parallel beam of rays is incident on a convergent lens with a local length of 40cm.…
- Object is placed at C2 Draw a ray diagram for the following positions and explain the…
- Object is placed between F2 and optic centre P. (AS5) Draw a ray diagram for the following…
- How do you appreciate the coincidence of experimental facts with the results obtained by a…
- Find the refractive index of the glass which a symmetrical convergent lens of its focal…
- Find the radii of curvature of a convexo- concave convergent lens made of glass with…
- The distance between two point sources of light is 24cm .Where should a convergent lens…
- Suppose you are inside the water in a swimming pool near an edge. A friend is standing on…
Improve Your Learning
Question 1.A man wants to get a picture of a zebra. He photographed a white donkey after fitting a glass with black stripes on to the lens of his camera. What photo will he get? Explain. (AS1)
Answer:• The man will get the photograph of a white donkey with less intensity. Moreover, the whole photograph will have black strips instead of only the body of the donkey.
• The black strips will block the light coming from the object. Thus, refraction will take place only where the lens is clear. Thus, providing a very hazy image.
• The photograph will look like the picture below.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXAAAAFaCAYAAAAHLgZvAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAP+QSURBVHhe7P1XkGVZlp6J7auV+72utQydEalVZWVmdVVXdaMbBKYxEAOQGIC0MfJpHmlGMxjBJ5iRRvJhBjY2DzAOxmaIGZoNObABYAagge6qrkKprkqtQisP1+L69au14Pfvc477dQ+PCHePiMzI7DxVnuHi3nPP2Wfvtdf617/+FexwbG1tmexO1vgDfvNNPHw+nzEd/Z//fHt8OwKHjEAgEDABf8D+pd3pmFaraVga35ix0r0trt8xP//NT+19vfvm983sxOmv5brQev75b39s/uH/4/9otjMlc/H8GfP//L/81+b0zHnTbre+Mc/s4I20223T09NjxsfHd/8U3NzcNP/wH/5DowkciUTsw9UAef/6DMaPw5nK+i9f/Eq/1fy2r+V/3s96lfO7vb9773TO5JzF+95ZMe7P7i89Q+udx5pe+7H8r+skzud2X9/eldrz8uJIOOJ8y//anbapN2rezbj36Y3FgxervTf3yu3nOfuBezh/9XX0Szsg7s3s3aVzP86b9t23NRDumb336Tze+Ni3OH/3aQNyP9Tn3x2oXSOzOy72T+617I6184y8cfDO6uxr3U/FuaXd+7Vvae/dq48NfvcW9+bI7sZoL1Dvdp/TrgF0f+9e5O592Mt05psOz2Du+9n+7bBn0/17ZxbsvX9vrLrH0rhje3AjD4XCplwpmrX0smliuIf6RsxAanjPiLtj6uNa7Z3sDrYzXruGnt/vPt/dsXBe4/1Br7VnsdPEu27vJc662V1f9uTOlOo+7ttYuufJ/hlmByIUjJjr9z41P3n/T02j6U5R3//VfO/ld8zL575rGq1G1+TyPolr231Q7u+6F+7us3Wf3e609571/mfgrXo75w48Ts/e7H7ywRvuunltRNlixvzL//DPuO62ScSNuXrzlvnP/0//mfnDt/6WtWMydAeHwQ6r/dyuD/fWivXu9q+DjmvXnMfhXbQzr/df/t57dx+Ta//2Gbqute/NAX2k371XO9a7l8A6O/DMdR2NRsPk83nzD/7BPzCXLl2yoxLMZrPctN98/3d/x4R50K0mC5ZdTBftx1D4GRAdWsbO7zm3XcfunbiTx/ruuiL3g9vuQnZ+dn/p3rm9cPtbxzCbtn/vZfZ8fJoWNp9vTZy7GGQkvRv1vGpvcHdNoTueGpcwG9LV25+bTy5/yPch850X3zYTYzN2IHbHyrtmayH1ufo8e5dMBN1lh/HRRbQYD66TE/Nruwid2/Hbh2Anh503egdeAL/oaKD4cu7BGQY7mnIS7PPiDcZZUW0mZseOijM2zpzSZ+hc/K4TdMZBv5OXobHQe/SZ9nnrtdyXvEi9VhfJax0j4Rpw9/E4E8ie1P7rLCj34ew9Qud522vgkvmPnQt8HneMt+qMhc6ljdHOEHte5/fOE+X3ug47BfSzMxb6kx3uA0vBeeH9x4H1vvuC7o1ep2817UlNIOh8ekfXxZez4fE7/mafnW7YDTbDoYjZ2Fo1/83/9I/NtbvX7WUmEynzn/61/8x8/7UfseHX3enrnHvf4W08dhSdcdzdh50pYN9r3+ZMeGcu6JlrfrujZN/tDozzXJyP9Ay15pf9s32m/IOB0t80H51xdeeFt26YZY5hcD6j0WyYn3/xbwz2zvT2OHdQqRqTLq6aV15/2cRjCfuaAzdnAs5FORduj+4xcJ0qPXPNf8bYGQNnDdm161nq3fnlztkuC77rKLpzqXtz7N7cvWuLRmLmN5/8wpnbGk89b/4NhnzmhZcumZGh8d176d7odF673qxx1zU79+XYIE1IZ37YWek+J9k8H+vPsTF6G/Nf69m+V/eJTbDP0B2fDs/D3rfznFuuUbbPQh/LZ/t4Zs7fiPB03YGgvQnXSrijrc/xxtx9Au74/PjHPzYbGxt7BlyTIBqNYrxDJhaLmUa9biKxJLu2djJOzOg4uw6mpNkyQV+Qn/k413NSuGlvzn2AGoU2q10Lf9cSYaDt0DjW0W4Mzj3zWo2pvSlncjrG0N1BZaTsq5zBlUFrt7Qy3AnD37u9cMeMOUcU4/3R5781//U/+7+b9a28PfdHn//a/J//8/+bmRyftl6HXUzOiuKa3Am6a1Z43Mx4/dlvDaFe43fWkB0PPVptUz4mkB6iM6E7und7/fwsY8qXY/A10fRGx6jZdzABeKqmg2HUJNLZNCGCMo6yPfy9zWJv25nlfLZ+Z8dEhpTP9fucDXZ3M7B/xYBrijG4dpHrWcn42o937knP0M4q5yf3yx0P3Z0ekWNFWPhtrsGZAwAN3AdzgLfV6jX7LMPRCJ8lo+SMi3M9e769+0jcjVGT3DVuu0/Le8Xh/3bFAA9/IZ+vOatD1+VtPnvxh3t9mlf2/rh2nJZ//sf/b/PxteumJ+bc89ZOzvy7X/wL8/br3zfDwyOm2ZZxsxPQ/utMeXemaS5qcdmH43xvD/tn5zXOPHMiDedz7URx5p7dfd3BdpbA7mfZ+a57cR7DrkfsbOTuZ/GvNlC/vrhnZ35aj8NekwxEvV41MZ5Rt00Ih41ZWV/hXtfNGzNvm0q97F3u7hg7Jnnv1+7dO393FoE3Ydyf3RtwvZX9Y6H3OGPubPjuue1G5pzPm4nOKLjju3s1zjexaBw7xcUfOILYr/7+fjM4MGA3XXtpXa9xZrizNu3fnA91n6Nd3burQFfU1jrDwbFr2VkwjKfjkDnPSOfhNbJBdmB1LtcrsM9AN8szltHWXziXtaesnRb/agQa9aaN8uR07RlwZ9N9kAGXjQ4GMfruYb/TeLfxXuosyCpfS2srzonthbF4uQi9Scbb7v4tmQsmjDXk+tdZrp5nYPFEDL9jbHSOwK4xsM4PHr/jHTkLocVr7W6Fx8d9WuMUsJORHzCiuiF5fE2smgyJzq8BcxapO2h2QjkPXr8P8pp/97N/aY13b8K5x9uLi+bPfv3vzbuv/p6pNKv2eh0vyDFmzqBraJ1DBrzFhqEFoM9JxBO7k0ym1Xqc9rodb0hnsg9JBlh20702PWprKh0LbK/NvtYaaN2TG4+wg/t5Ya1aNM1mzcSZrNFwjL+3MOPOBLARiD5Xo8rzCPgdz1wTREZB0YXfH9pdKH4mh2M4nClix1TTVb+zV6Vjz4A7GKLjPWmTsyPD9wGev71HztMkDr+zctUsrNy2ENW5+UtmYmjGXXfeonA2N8/gOZ/jeOf2cGzQvuNQCMV56X2H8979J7BL004rZwOyzoQ8cJ1j9/VeTMLGy/3IKVlYvoMh9zZxYwjWTGZn23z6xcdmBpy43pRBsJPVfqQdb/fZer/XQlV4r891bblzm/a1Xfe8e+/a5J0nwDJ35pLeqE2X38vwyoA3NEe5eLupu+ex89bOVSfiafHMtCL0Ps0RPS9rpKwBD5gYXuvM8FnzWeQL/taUk8i1GlOq1M2v3v+ZScWHHoj5u/6ZM0t2bbb7RHRN9nMUtSti1vzofiqeb+oOnB07G8vbgXRGxZ0jXU/Y+/2B6WFfofm2ubFl373rrvHCBkZ7aWnJFPMV64HfH93JMXSuW3+z28a+Cdj9jPZepwjZ+cm1Y+51W4tn76dlffTdEGt3VmI7uA7Z2g62tFqp2GcdDISIFrQBYU96kibV12fHz1mJdoW6tnL/3XvR7kH4bNeUayIneuPmzuJd81/+F//YBJjR2snC4ZD1ZouFgikXKiaRjJl4PGa9Mucz9yZfAK9dxrnZbLKjN0y9Ct5sjTyXxW4TiIaNPxTgxvgew+NAFuDS1brx8d4Inx/lAYVxDxQJ6I16nW5F11erVUy1WGazcYzD7qT3djxvntgNhR+SRSdkdI0FToj5//3P/1/zz/+Hf+08RHch2MGxC94+kV2LoR8j8bCZmp7EaLHQ7yw6j9K+lkfAvQRDQRMKhaxRa3DPPm1GVZak4tWDBmp3KrgncH+2E4QLwO6a2IACbCYhxjMSjmLNI6aWcQyBrjEQ1hjzGTXt7vs/wk4x4IOmYDDr8XkTz3lURzm8CaLxieOS6nzy8uvVBhtLzRqOYKphip2ijZ40XOHgvzDReso0y4ctOXex7Fu0R7mSvdccasAPOYX7+Hf/4kV1h+4AuwaEe4hWTDTlrh/+0aIrV0vmH/9X/6Xp1ARtHeGw4+3c/1Gv110+zjvkjLB2NN7CqzTHnejWPZvdcO8/PFNj/6pzKJrVuuL1fp0Lx6yjyJmb6sQw92DG3gUSeJs/+dN/Z378L3/50Bv07scxtQ84dJ3u/R92nd3vOvicjjC6uy+x9xnBNqTY6JxAA3thgBU2zT/6R/8IQ+P+8iEnPcrz3LtX99V2R+TLbpz3Le37Ps3OPbup+bCfATM7O8qzDZlMNscGlLNw39/7e3/P/PW/8besbT304R5hYHYNuByKEMZaXqePB3/6pbPWk+3piZtUstdcu3zV/PY375tIT8AkpvptqB9h5AIs7iiWsVwumRo7jbxUwRzpQtmspndMvUaYgFdYr+5ozzHBdtA0a1UTHeozIUIheXXNRsD08BmjY6MY8LDdMGqAdNptwxixVqPNDlZlIlZNPp026a0MgxEwFX5X2M7ze8L3KtaE59o9w+JM1qhrkzUWGvsKXkcjpxe6h0ZAD8bGqe6Xm8gO9PjMq6+9Y1588SXzy5//xuRg6tjD3XCDsZCFFMK9UTa7BmulAdYeM5VizrmWgwcGGnSDizj8yURGbMDh+MP8p9yocEkVU+F6WjzjxOyAaRAhRHlOhWKe3x3ELY0ZGu43+ULOwliPc5y5MGsuPH/aLNy7a0rFuslmy6aQ5SI44myKBAd7Y821Fio5U3OH53E+9yt5L9efAj4JYAg8eynvtlgrmMaXcU9xopv+hOlN9phePI5Kvmw2FpaY08dkVCSDZvrsaYFuJpsvmBiMhfJm1lTTzk3EmF/A3d17AusS75A82Nfp8LPxpLThuofWSgObU8gAlT6Dx/hozHznrVMmnkya3/z2I7NwdxF75ji+IYtGeJu/NkEvKnag0UcdrgF3QjaFW0FOGI1FWKBhk+pPmhjedoyt+tRzp8z69hrwyrLZzmXN8NSIGR8dwdhyihjQSitgcrm8qeIZhjG8+WbZFEvsNEoCBVkZibBpY+TrJS6Ja2tNdNgMIiaOwR4NDZFIiZheZpe87HIZPI7r8PO7SiVvSqWq6WFjiHAtPh+enr9lioQkAc7bB1tgcHDIbK2sWaOv6KCJR19K59mhlezbPwRCX6zZi2KxU7jkXLsRxllj4Mq8uML37vY7PDloBkb7zfvvfWA++tXHeyfSOTl1s4jR5my1IhkhHZy7IqN6v111/i6PyCbUeLPIMTLo3Krip3CSIRqwQcnuYcEhzhkY5ryxqEmODbNRVEw9VzJtWfUDhzzAHSaxhwM/6uE/6O/xnrB59Y3nWOwh8/FHObOxkjXNunNhCpwIOHaDFe8ccRZUM8udEXQ9U8dD3Ub3SnmeDKsJ6Jl484V/Y7onbEL3M3mi98a1RUf6TGJi0M4Nm1dgbuTZnP1ghV1T4ZEfGyAajCRiMMmCJsF6zbMW69ts5CVNMOc4CFnZ56k5+DU7uiDgffemualUzBM9OKcvHjKJwaQJ4MwWV9Omtf0AD+wBHxwK46R2atA4F8znV+4QyTqTzB9U5O9AJg485UKyLjyj1xyETA5+xJ4HbjFSJazA0zCeESCUGrO6grHoaSVMcqjXvPLOqyb3k7LJsqP3kiyI9fRZT9iPwa4w0zfWt029UjPhRNRUdsqmtVk1qQvDZmJuXpdk1lZWTBHvOQTsMDAyiLfRa2oY6/VlvA0givG5CRNh8gn/VihZhdqVz+dMoYDhbyix6sO7LbCBZExmYYf3gDsOhm3CNcwgpwYSZo7PakIVvHrtqqlnhT08YFQ5l8GDNjYfwuLhc329JArvcV4bDhozSJSQ2Umbjz/8xEYmDz1cu2zpGg86FCV0x6N2VTkvBhp7YBilRLUv1DS5YpH3N/F0i/zjXk+XgdLDFmb/uIdu/+b1WySz/WxINSKmrrwAC6ROgBEd6voUDRe7TbiXjeYwAy5nQlSB+uNFBSe6ryN+ZJOhNV1encZABl1fzeOt12NcJmPCPO8hSSPIrFAomgLrrbbJHDzmWNlnX2qY9MKKgFYTAm/LLqX3XYty5vt/wWZMJCUjbvO0fxEPQRzDg2YQe1QnkVsCzqhkCqbjRT/Mg96ppJmdP8UaDZs7pYrJdxtw4BEfm2aHSMbU7197gnl6ByJQVDfMlVsrZntdlE13oG3uQE6mx35z7M4uK8kadsdAHKRaeo/KGnDPBjj0OSeBGAFrrbVrZKnTeN0VwuaEvYGps3Nm4jSUnecuYjhDFpxX8iTjz5pGiXAsVzVVjLfBc/GH/OaF5y+Zc2cv2MnZCzSyEomCL5aND7w4yvtKlZLJ3t0kBscZxTDNPTdlJicnsYOO0egDB6njuRcyWzbxIkZIk6Si9Zj5pxVsmO3AOpnpqBkZnDYzkyNma3OLxA24NNSi+3Ywb/D0gGRthKe7o9DOaRY7oxHBuCfYFKpsMI2jhLJHMRTdr5HTrs+NOduvxa1FSnGhnN1QnvfobdEYY9soEtLXTHvHtZI2SgH2Ahbapbo8gUVYKdXNx+/dcjaVQ8C5CvuiDJuihm7vNAS0Us3aPWbv0EbJc9Bm+ywfoHOmxTDuh1Gcn5+aAVcI3WC5kj/JrW0SOdZMLU2IKjrkMQ9h5nU22zZGRHkrrVeb1NydSJxWRJOuU9tNivuL9LEUto75gd+glweYn/1DSSL2JJDxHPOgbjLAv23yPtvZLTM5OmguneH32MfNG/dk2li3fhMe7iFnNWBa/rApraybDlG/pQh3HUNzPWZoesDcXloDOmFj5u/yvJXKFWGkXCuDWogkobUk1p8IIHwvW+dQ4+xxsPbA+/0eH8X1BK35YmcQ9NGB/aAdJF8qmK1ChjXYNBFfwrxw/gUzPTbGro1RwagX8Qwvnj5jxoeGLLyysHDPrF5dNJFk2Az2pUwCo72zvW2CzJgY8c9OqUQysmDybA7NPEZT3g9HfbtGBpnPiAC38G+NGyvld0yZcwqHH2UglSzUtbXHm6a8wb+EI3GuoVljMAp5c+fqDSCXAosO/FgL4QCU5FeYrHGRkeHzuCHnZ+2EpT0jEyHhOsrOvJ0mDK0dcUEdJVzvfrp6akQNMpKNraIprXdMlMUkFtjB0Fabl69BAld7jLxZGX42SMt0UZSsz9a9uhzzJ7G+VN9xaAjDcNSZqzLY3iFj4LImSdDs/d4XVZRDIrD+1NzYJ3Gr9vFbA94Fo+jxyEOtEXE8raOSK5r1y3dZD4zPY+5xljmE0WkRzVaAHbuNt66/wSbVYH8I89y6N96g6JNiTT3m5z+tMXqq58VoltbS5sZO3qIJ85cmzPOXLphXXngOYx7DlsG0AjGYAS7OQ+KA7sIA+kzfqVETShI5kTSt6/eaQH1MHo0heT8qwkj2B018JG4K2Kb1rQLzaC/8FpW0UCyZLRAJkUOsxeb52bxfFDgbBCSK3ew24oeNg0Mj1OK3Btz5ABnwGp5xJ4TBxZMNEuZluMGdNKEFFzGZIgGJJ16pgcWCWWtWpHoH4FefNiurqyYCRj06TDzKieXB5rIY74AocE2Dc2CmJ0dt1Wd6Z8tsbMoS8P/+sBk5M0YSZt6UAVLblrpFYoLkWDafMUEMbcA/yGBCkWNwkjBWxD8u5EumvF0GQgmYzGbaLF5egjng3FSEiRo+gCvL6Pgb7IBZ7lWGRll65673jU+bRdCo1c3a0pZlwBzpOKKd3z2X8HA2K2cHASbKswDZzITlJSYd76j7ssIhvCwseVvQT4SZgvfWKXOzXrGMt2F7z/MpLkhL+1bC9WFJf/2NyW4TM/LEHzOxeqRncNIX8exaioqAgboPbfhPBVt1P6RZI4/C15M8Hgj3Kc9PpKtNad89yjmwoftf0IN5WS85Ue2ty7fJy/nMyOtJE+mEzLmpCQtzhNjdS9tbQLzGTD43DvUZR3RtA9iFNUjEahcDOUMfxIwIHr2P13c6dWwcOby8DwIEz9g1Iw792JCvypnbt+7azdZWcnOI5z0wkDLJFJg7HpFqdB52OB44J3OKvIAcuJkIVjbJ7rO6edcMjA+Z0xMDpgD3cntFiT5jLv/2ihkj5BALZWV1Ga+Z4p+1KB7yGInMHJBH0ZyenTctsAkZ8PTGMonQoElFO2ZoArL90AD4d5LQoWZ+EfqNWctkzavvvG76Er1sEhh1EqV5GA+nwLMH2OV2NgJm/da2ya8UeF+UBGYVrxw+q8BhwSR4yFUGqOJ3B8l6gEAtmpR9e7dvvUSMZigJXYsEqg+DWcod7vlUgFfe+/PLpph5ilm5INEDm1As0WMyazmuWJiY4wmKOphA8sALebW4gmyMUQx3uYUBV1QgXN4z3rpNz/uW0RT9RjAT3oMvwgrNwo31DKjmhN28HmPB6oIcyM5Z+BpbHodgFy+RaSsyuca2NsAj7oGPcUWP/VbBKHKkPBjL3p+M214k+9if8VWfYBfech+cLQhTUlqW4GvwjJ72+NVxUOs4bz0iN1CLkd3ZNJtb69Y7zxZrZv7MpMlBdLh6/Z6prbEbeuZBpAhFUXC/Q0Ow9EAaCvy9ChxTpQCopZyGu0N663BjfdNcu3oFRxGGneoVAmidxJPkQ+YtBTQKLOwxVB6UzHQhFJ1cZwfXwYVPpzPmN7/aMcF401x88ZzlOa/cWTUrHRkZbMFqGeP2W9PbFzUraxnrWMXxgJeWl2GEDFs+dI0baagSicoU1QXubG+aNJVfIwP9Zhguua8aMGcnp0ydUOXf/OxXJgaGB7vcXL1zz6wsbJIP6JiBeNbMzIyZ2xU2iU1wQkYrF1H1HwtNV17qYpkc4j4IbtCE1QTdw/6AKfi5r6/HJOcT5ta1ZVNRYuHAIZ5mZlWUmad3+MghJNnI/PJmDyRAGhVwcYy0CDzdeHgwTCTD5qVN6z6s1BsDPHPr+fYJ4CRiwZB3oDjaA684moxi18OmoArVEzp/glfkhVuox/tcnktAm4MLiWmitmDq7BZ8Pr2hfDJndjelJ3OyZ/Mscg52Iyf3EhVF6bk9cwyir2AIfTg+fhzYOuuxQVLzV3/+iblzc90EgSxnz42bgeFxcHHYdhmMdbdvJ5YWyZIONr0oVppMatlZXE1Pm8VdJz6iOq3pQq5g1tfWLenCVnUGcc4SNdM3MGwGcG6PQkhw0neCgV2BpCDGege8pnSvZC69M2Uq5Tphe4uCmDjUQfDuLTjZgJzFMl4wH1xmZxEs1MQTDEXbpoSxmJyaMx28c5Wk5BBfCWHE4+wmMRKSOfipH374EWyVupmfwoDzvp27VfPLrQ/MxHy/2VzNm/yS3DnCmdK6qRWodKp0uUDSolKIAm7XSfI68a0tZOI+7S7YQEZGX+QY9v6ue2VAt1d3TI7R9h0hrLcTPEEJbAVD+CSTccWmyVxdAoZSBtu9cHBt09cLTBKBiJBj89ubJV7SKQgkoTF/4KGx0NsEWxBhtMV+0QEM5SeCCULkDui+HyNmtpECnxHsjvA4n4V9PLdc5//Wq/sKzNCDP1Kbrp5bqIsPrlfLUTisdOGZuvgv4WKCsEq2tjPmT3/6a5MD4lheyDjURDzzhtkyfThP9U4YGNdNGnrXpCXmLrMODuzDjmgPGDcevQoeVSAniNbSCVmTDRyvumA1VZO6/PDDNGG88+8lMVmRSno4hccYOXaJXojnZYo4QnBMQaDNqy9dNDvQ+j5+767JLiudylrlwQfYtQZGRkzf8AAXhuGxpe/YEKxnrkIxBCySyeFhMzwxRSEPFVRQ3TaWV2GLbJs48MHZsyPm9tUtc/XP1/bum9OXs3Vz/QNoUQfGKtSP6BbRQasAjDIgdxxMO8MbDqIdGBDyfvswP51KDLximkFm8I506D4xhq4Y35HecpQXqVqzLsaOdzB5DJxgP+OoPERjR6HV/pvS9YfYvBpOTc2DD12sOOld9Ecf2LmfZ1pnAEobO48HoWi+HnH4jjIWz/RrHmOje+bui3v5C/PcTjD4TRhnqze3zEoDWs4BiLG4SXU08Kv+18KxPdbh2TDGX1z9PiLvVklOFHZL+iCuZpHDRHCKe45yOElMj4/IeSykCsthDtrMxPiMxS/97BZz07OUfBbNrZur1nh4nNKOyAVFSt5PQV3qTVm4pSpOK4ZJyccqhQSi5dxb3TBxIAMZ76nRcTPK+Tr8PpXqN0PVCiFKwNwDOqkWwKCKXXxpe4H7b6UJnqtDGGsAHBxiDLi7C6ccqMY8mNm3QJFCfXYYKZEc5RAM01AS4mhjepRT7n8NG6R/FE492Jk87yCJELFwGtUEO3SZpLCnx+C8Lcj9KirY5fUqESqX3MPDeV7U+FsMzxYOgYOLsijGShMpAkj7lnf/uMdhw+EoIz69oXrca37Y+w/ejy0HcBlBDiPn2+ObPgIWmnzQgbnILWacXNKjbMHBRdD1+iA5qf6BpNkGS5cknlaM1Rty143kEDzBwD0RtEMo0bIFriXkHI7Ei0pSdYL+Pgxr/xCgehAYJU85d8UsLq6au9c29wyHjKG4yL28BgOiAp04RTwy+MsIYmW3s4QDdasj0iS76ovjOUMDvLe1bROWHVZFsA/1PURd4mReo9AFGz6xKjixpeO4/1qFHMJ/VX2yoYjrarO2CW5fhgtxLar0nc1L+KuMuAbwEPtsPXAN5gGv/qET81EP61Gz+iEWzU+yJHp2hnAnbsWVGrhHEZ5FFB4vMLiprBZMGN0R73rtBuQZFT17krFkj8X1lE4AP0OjUEmfuHwaL7A0C6VIrYkKVXAvhUaPuuIj/d3mGLpfKeTLI9U8mY840nU8qRe1XXzYKvK6J9X34rsrkvv2+HYEVOX9uEeK3KFycNvLaSd5aVVF5S24KqDWPLlaT7tl9od/6m4hj9TV7IkkiI4RX11aMefOTJn5iTOmgJG+e/eeuUMi82CiI0xCbOD8KJQ+gH/YIUmqylK9MbiNCSo2UcsD06XK3ma76tByYPChrVEzGWg7bXnqXGCKiswNqi3zGOYWm0B0XPKk2OF1XH2NlzjP0Gmi6Hwk+HvmDmqJZeATWC1WU0uukiIBXhYYkdSpVObwWsHrD90pFbV4mPNRnkZX+HOUl+97jd6LzoUPA9pBKc2oYssTAtMlD/YAawAkk08IE71UttImhh7G6Fy/KWE91mM9hFpFFdft3Qq3G4Y/3oqkTJskZQtN6w7J5xjGu8nza+SAR6BUUiXAbuXqxPhknY599c4bvPvXRqpzuJ6+5oL1Ut0Nym4uzCh9PYGC0BNe7MnfJqxTPOlAv+aUcx7dn/Dip0klPPkVf/vOZ3YEuteaotI4iyQCKYHfT80NQUsM2poX6RDal1pqoTx7R+DPCmZJwOww/YOum97FwDvgMFp0Qd6giqA4xmQYvDQAXtqLDolwmVpXoYt3DvEnMzc2KaMGQoEquI6KWzkVx4Pvo4qyh7UOFxwPPAtZvd6uWupfg99VKFltUYWUwTglEwnrvfeODHPxGH04TUXoh/VtPE/pkygJhwJZeQdunXhqvdwdfwo18N77qBiVYBYFPZH+qBk7O2mvdemLO44ROczTtkboiI9e75dXaTcKvo5DvdPga4TlCSNUZItaGIcObaDsuaJY5YEemDJ1E+Ri29CJmotpUw7nzRr3pLHzkSy2h86j9+gZMyGClP76cA2bvM/PmKhKLESxU3ODPILEiaQESfSzd5zAeivqSca5biInCg4kmO1oKvP5sbhpZAgnCTklLuRMQvdSvwRGg438rBDacR7Io5+5inYieNzd80YwipK1dZdd8+izPNuvOAxe/Tpqojzbo7zfyvpUXyC6JmhBnsLHBuQCC//iNDsCuy5kYMWsjr5WXQMucy8PXM6VI67Sjxd4fnbGpDfXzA2qkTY3VDF0PxAoOKOKQWrVw2YZSl4DoxxFDGn+3DRMtg4RexMnEE09cG4lz0Is/ASiO/GRmFIBXGrbep4D/YMkQEMIvQgXwhghu1jDK+9E+UxYJ0E8ziiuUGUd2iLJS3ncDc6bGI4iciVP1o8WyoAZpV9cGdhgGdYIVvE4Y7F/Pkiak02pA/dasI11gTXIwsgkJPWoMdbziGNpJT6vpg2wcaDo7ONt+4E/wiLg4pnXwKabaDAYNiLJtm5RkKRDlYG9E/svTbuyxe+1qcP26RscxFa3KLZCdEp6KVR4oVHw4PlNNNCLnJuE5VXlarO6hx1KqiK2FCdPYQb60MMZMhk0l6tsuql5GEpsus3GhgmQVPXGQxi4KvueePWivBGgIM2VGpFFiErZKMJluS2ijSd4iGZn2TXMKVuZ6D7nbxIXXFDRvoN71Dz7C1uN+QTnz6GnktKFEpbK1cFm+fw3a9YJmhyas6Gd18HrOKiu9zlOElNf1l13w2EswwIwxY2rV83YcJ+5/Pltc+PeFtnrB1utBtVIDRgrOio+EnDFu2CHFPKQ1U2g6NeHN79NcU6dpKYkY/uhykmcTzCKvHJ1pVAnkRQc8QTMlDiGPgQZPkrTO+1Pan4wPjptdXRvffGF2fjilm3IUEIbxIfs6+DwkBmdmMTbr0MDSpPYVGIQA6RkXfdla5SUhHikB0640xc3bcrArfcpep8AUWHujzLeGgTvc+DCWybIDmNzQKAoIP434kUlGSF0ZA4uKvvzwesUZIHnKb2YyVMXqZSlmxKSu1UKj+7cuWvqY+NsBkWz8d5HVIh1Abdcv28wZfonxs047z0zf9p6AJ9+9JG5/d6HDtSizhfCziXGoGhBkgV8KXJI0bBBsr2NMhGENgg2mWFt8MvI+bb3bxaiEp7EGEjoXnRWNaVQYv3+AaG6FhpkjM28SQKo6MrbPtb6syWIew80RELYp027W/lJ62KPr/VYH/csvFm57e6yed29PHBtWqoE/vZ4wiPActIaCuIQttGXam44CaIWflFHbdr0AGQnZDSOYlu6Lq+LRiijpu4fTkeZ9E7B/LP/6d+hhX3KbGbKh3rfhxocd0cormGw1h3ctRUsm/gU3GZLL/RhdKiCZH0WoBiq1ZM6VqiCU+2t/DBZCrhvbRbx3PgEYD8wDqyYJoY+HgMiQHugRCn+TmYd9o16QlL2Tzl/CUybNhFWW2CVKqkIcX1QHU9RNLyvO4cLRTz0MXF9YcKdkVOzZhMjXtpCcEtMl/KeYfGpCvRBm4FNwspLdjOqh6jLKYxqUka7T2Ho4EUd2JYtF5znM9rfZ2ZgrfQl+3g7Ro/7jzO+TcEKfN0gaZxFYjd3b9F2dknNY7jnZ8wM3HtBYik2SQmA5fLTCJZtoPpYNJFUL2NNngJYpiFDLilg4J0qG0ILD79OFNUGCpKHv3PjrmkAeQm6EqrlldTbalcMuL5safoxDtsJHihPHZeaFg/sms36EQ6+NMmHJoZhM/lM8ZFcysM/XBHM0MyQmTk9S+RSNTc+vUGJed0qYJ69eNrkahtogWcc5V8tK0UV0kj5hhyKMuSFq3jHizJ0jxHCfOUAjmtEviHD8uRuA7sQwNFQCX4bxzY6ljCDk0M4oQ1TDqEBhc58J+s5y3Ke3TZqmmvHdMN3k5iyqJqw3S2RdvJV8x/+/IoJKZQ+yaH1J81bdL6brOgA7cFiQBEJkm4yIB2MWxmjIFFzGkOaAPh3CUMSBUqxioNcXQKFsCE8R1UlbWykzTbk+hW6UDdpyuCP0+xBOxsFQmWyo1e/YCGyEZgsRh0MXQlZi2cqxD/BgS9mhtFFb4KtlzfgZub3jHeAopiRU4Mmt1xkc3uApdL9W+f0AduqEhcPiWoOu2TnTB3Tz72PgEkn2FwCuLwF8gs+hMOKFBHkUDlTF6EUxjZH9NPG5Zpi05seGzGjgwNEPXjSTKIbNz4DIqM4oR+cGxpnFDZQHSPZBndXa7W26IdwKBtlIidh6hhxv7xv/lWhQXZh2RpqiSPtHooQeJstqT+mAbciajrRQzKgHTbF7cVN5iTeulTdTqDcp4+QLMHUdMKMk6QPBZuEtTft+WIoUBIUuV6Re1fuPZ0kqjjBtHvqb7G0WCVrD2xKtqReS/FryCB66oN2jA/oPz1hJs/Mm/Taqlm/smACOG+z4/RW9VEKtAbUC/lg4xYaS2il2PUsoy0ERAbPYwQc8fN2IRSrW2FdjgNbADarQQXiiQ5OlTw7avrnptAWJ1FHU4cInyF9gWQSI07SrYwXLpWvOMY9noBJoYQf/PA6v18rpfE2KSQKo64Gw2Vh8Z5Zvoc2weV1Cy20+rAQaHYn8NpjYKJNqRzK07VtqnkJWHUHL+NAlHzkW5G87e3ProPfA0WwKdhDw+PB4XnCoUM0gI/8ASd4ofXA2ZgUmUiVMYdhTfUNYDDRgEY4PorlzEuikqYADaKPFPkGaXoH1TIP/DgiLJ//30aDYXNriw20jnBZzemCBM8/L1lMQVqwfmJw0lt8Vk1GGyEtg1xmm029+5AnJ/aGaOeew2wre1Vi/xSOGDTVwfEUuQmkPdG7Fl/+uIey/dvkdFbu3aHDU87kt4D1CG+lzfPpb67gmRLNjLnP2g0ErDa4S60/9PM0L44Z/h73up/k6z0G0ZM857fnYo7QJGbm3GkEOEOmLKkKCBjlShk7ctekZvtg/E4g69s06bvbOEHaKa3694knj8sDdyzT/Y0+vfOecGZiSOPgqtgVqNrIxNLhpUIlZ7WcM5ntML/DMGMca6gayrATOOMlDqE9cMus3ruHnGPI3KHB79r6sllZ2gbnRWNlE4uhXKqSLmDUYfjSfSTkRkmwRXAfMgNptHy3TXZtGwOGwTlsVh2Izh808Wpg+vo67JA4TQZxrS/7sI8aT1XVsaJuLiLdm97ZoVdpn8mR9F2DhriR2VYbabx7YAFe3yDpmMHS7hDWBdQgGcrirbu3SE5S9UnpbpGKWPHFa2yA7fWs3fHCMyOwniKmhIEX9akJp992KzrkkAiUEpe7hzaZh4uonXjYBIeV0ZqQBKeq5k56MARUBYdxFCoY8lUitibl5ERZzNUGsJBErXblmAULKaoAkRN+rPXWS7QTxNkIKpkKbVbl0Bs3l4+uXHnSC39S7ztmqP6kPvYbex6Np/IIrLECWimbd2iwvMy6ck3oxm3Qg62sKZ+qmdImUftOxQzNjdrm2F5b5JOMjWPABX/vGrUnKL1GeNuil+LgmWk8cJ/VU+mVN46HmKa35S245RZCgU5Xo1hldYPmEOKIr2ZNBPJ4Eox2GaH7IKX6+QyLSuOhNaurJnGZ6O83/SNw0BFyEKauRsypnpQ1ululNdMzNwNDg6YRhXt7tkXhMAm9YSKDMr0HS7Sdkl61ZZboITwq2NBednyn7yTPZu893YuN7wVvqFPR4OCo5ZGmNxHbgeWyw9c6RVKrm0AM4vSTR4gJT8bYrWOc00sbVuEMcB+d84yp3d5EjN5PsRUettLi0DLtwXNrwywqIB+snEgMqmMRUapdNcMDd2NrA7rhar4X7W5ftejjjcDuu6swefT12AcY+vTYDBIQveb6lRW7eWkCJPCgCttVdG/oTNUtJKZph9OgTx4Civqjv/XXmFtJohUJ81cRd3vfrN92mEPfHt/gEXiYs4ztqGOcFzJfAEPebySa+aZZ/pQ5sm+tnNA5dod4zwPHA5YH/rj9FA8+uiyec2F8y0yfHjPDYNkJsNsP318y63g9EVa4Cpuke1vJVE19rWXKa3jNrJIBmAaDtGzrP99HN4tFJFcbSL+qAodlhvLh2EunTXIArzsaM1tg4yuf3ADX9Jkpwpc4xS+RZL85++KLZqC3YT58zzHgCu2Vm+vjOn70l/6yWV/fMO+//wHVj3wu8IDuX2qMYoSUPY0SubAnd/RONpO7J8kBT8neA6yWtZVlPPGASSO8U8X7q2LQMxjwGklVPckSuQBfvWmNsKc4WEy7rBTZaX15c0zeM22fLG/cvdcG8JEzZj5rtJRPUJLxsENY90FuscXBn2Y3G+9CGI8eqtoa3GtNCeEjHvLklxaX6B3ZR96lQVPtGNryaNdvORz9Q3srumttYmLEzEyP4Hg4bQeTqR7LnjpWcdgRr/Pblz1jI3DQ3triNnm/znoSJRBo+8FH1/vFonvcw01iyq3ThSiJ+WRjqwaqg7c+uoE2LsJV8MPrJNgWbmw4WXCqk5SBrUr8XDetHQzYSMfmWolQf8W89f1XzKnJiLly+zaeIwaIKD461mcmZ0/BCQ7Qpuiu2by3hsekoh8oiWfPmgnohHPz58yZU/Pm3p2PbOGjFw5rrOMkwAbABXrG+0301eesIa8PJ8GS+xHwwoMHg79++ZYV26qykpvb7gPqHm0lgIQoPM4zEFavDULn8JJxmhD6vad6qAfe9dAtV5/XX/n8GtIGW1bfJIlEL3WtsHroqch4B/idTTvDTDlUw0Ofpy8Pz2ccg8BQ4UGKrNAlb8iIuYfwYnUceVhFmErqxWyQ173LalAago3hqbUjc69Plb7TMGzU2GP51uqx1kOeRPjYCAl20SPZAB6JYbtLo0JOYHN9yWRyafK5nANWTEftbr49/uKNgNaqhbKP70k7KUcWoqov7ZJ0RKyOcyYniSlYQf6nkk9P4RHUKABaLJB4PHC0VGVpj8MvOUN/wPd+ddmMzY1ZkStr7UiRN0ikpSkV70U/pELo25KyHoM4fuGMmZ2aMeMjY2ZsnOQp3PPVuwfcZ+1TUONyG/eICAbMdCpkJhMj9iqisGVkN+8SNZAj5KqCcNfx/KFHt+WQSgSrL0QxUpAeeimTX81BL3xIwcxhY6kHbqk+fJAaLciKiqvuGVU9jIcxK/RW3pVHIyW3iNDVcAIqYJHCqH7bn7QlYxtNskFCyZMu8aMOnY9S/hHUIgf6B8xWcNVs7Ny9r7jnYepoth2ZMOUuHFxsBist+5QPsVDWlzdh1Rwf11rfIB9Tu4XxPl6IlQfj/OC9D8zK8hq9XmncTVHa09aOf8rD+O3pTzICWogyGHJW+mLkfYKmnlbD8aOZYFVhOgnMkx8uD9xx81zNqJOf7Sm8M58tmd4KWuOBXpKWiGXN9pjs4oK59/4Xpm92zGqvJGk6MTk+ZV68+LKZ4V8VCjXowVgvZklO3d+UIcBOVcopyYne7+IKOC8ccrpm1KW8SFeMrZ0i6olU+5G0SvVTtYhk7YZ47ei4jp6aQE+8aVIUGvl4eKW0+tkd48bVuUO0TFsyy/dSVuzWJD/iuWx9EJS6OpuZ9NmbeNE1KS5J7EuiVqI2Pkq0yg37wlBIeqU1w1xqVh/BS3/Ard4nUapoTkyUh2GGxxi2B71Usg87m7kTnSkDJVVfxz02NrahtDoJKh0loJueFLuXoscjPr/jfua3r38GR6DrWftZ0xKms8JxRzbgDty5f9I4SMhRj10euHJYXZnMo77/qb+ugbh5DUM0e+6SLckfpNHwbTzxjcWbZmd100QJX//g9/+SOX/mLBxztDoQWm/ChVYTXVowWFy8+1CUUYdKsJkBdsEQr2doIKHGChnsMx5j/yBFO9AmVTE/d3bKjIwPW+2CJt2BKg01G42YZLRHCWf40UcIuw+OkAy3BluQkbzt7pZoxxlNe1sgbvk6OjSwS6AB+jHkLR8cblV2ck9HOriEBpHOmg8oCpwpv4VBO0KTi4PntrS0bkfWNeCWD/4wTPBIF/lsvSgM8yRFHiUDq0B5ge/+4A0qhiPmt7/80IygUbO9kTXZzQLOgLs8TzCez9Ydf3s1Dx0BLWc8b6f6+uhj5YhW7eGZDozizJmj+uX7CoQt/nJSg3L06z7WK3VNOZgiA+OnkKCNmbmRCXTFSaxZiiA96mjLNk0ZfZxiIDm2RbBQUrHwyvHWbTm+MyDeISw8T7JqAwBbMEiMDWE5C5aMNO35l87icfebdZKiMfrbnX3xFWiQSdODrkjvaBk646YpovTX0W5L+CP8/sgepp6IIAU8ZWu4BZtYI971tI6x8+7eD/c5MjtrmurkAZYheMh2+DnG0YZhki+ygz3G4RlwW3LOfVi+upp9kCv4phhw5R6CyDv87u9/37zw8iXzi1/+AgimZH74+z+wsskDJFPHRofNb2GkfFS86iRCBXE+xrh++9avyQgcw3B7d2RtrZWL3bMB1pE+qvXmpV1aKO4bj/HmL2too7SSH40Nmh6MVD+Uv4HpCTQ4Bs3K+l2qEYNmcjCGp40WC3QuH9VOCUrFI5RFt4AUmpYi0WXAub8KPN87d6nkvJ2xGgW+nqh5bn7aPP/8izBigmZ6YgaPKmbbxPnojxfHu02owSi75Sqk53sri/Cl0TlXv8dHHKI29kz2marfEamyRGN1Ie/VTtIFcxwTavC0LPzQJmOJAVP3UXlKU+eOGjbIcHjJjMdJsj7q5rr+LiMtjjTDtS+fE6I8W53QvwmHDLikHy6dmTFnKCbKzA8gINY00UaGuRkwO1QWf/TzX5nbN4nu6vdXiSZQdmwg7qZ2gt/sQ5NPzo0SLBI88rzMA3e9a7ncHf+bPSj33Z0qX8QkcxaMU9AjXXB39I40GvslevbUrI705qf+IioHBaT2D42YC2fOmBjVgH5TVtU9IlsD5vbty+YXf/ZbdEGSME9GLdQyiIeuRsp1PNFCftuUKAPft6PJUDKfyqAMivl9cTq9U0YeZAEm4amHcRtjeO4RaYlAy8uTJFXX6DDVieNDE+x4YfDzktko3uMkDx8BHyH0mVdOm9lL83Cz03jwO6YAXtpUubpkUBVai6ZxlA4f3R+l5w1uPTB22sxdOm86qC6qIpOKcFN1uxWp0Ml24lHj5y8phJcQUndZvdXSJo/wTdHStvAbDKUKUVjEN0nU1zELW2vm1ucf0a2qYd5/76ZZ3qzuEoi6H5kPKC851GPKyBR8owy4FYphnkn+QF4Fwmpwe53viV6t8yR5C/SKbHWUNey8XlZKmKWSOdYbYXBFY33GEICnaeOkOSUBP4u7eMH8MR1oBwO3SoTHfOfTvDP33DG69EyfO2/OTM7SSd1v5Wl9WO90BtlUBB38VFZsr5bN//jf/3tz9hI9OQd6oXTNWk+6sLPFvKFcenW9S2Vx76I9h1eUu5dePGvmZqfZD9uUlAdF5rGdgyIUCMmzJ71JsVDCTA1PUElaNb2xAZMfpEtRhV3gAfFxkAhg5rlRc+7SNAUtbXBzZCMp/IjhkSthKuOWAYppCAOjcMQeSoBICRCP30q8Sgv8EHqS5vjsuXPm9Td+aEbGhs3C8oKpr2A9a7xfex7aJh02v44KXqSlbkO1p//AtBfZTvXS09DHaVK68rLfBC9c91Umv/Lpp9es5EM+qzxL1Hz68YK5fidnig+rDOU5qvS/WwXw6T+Rp/wJkmWQk0Uthn3oqhOQ06DfyairaMwabXbxNt8ruY5GkfWg9HciajtBZNC1IOXU2Nf/xTgcv/vAcRIa4bM6XCqQvHRxnj6/6FDnlsH7tUM3zO27C+ba1RsUXTgucAkluU/eW8bY4+HgeW+kN80OFYkbaxmTLRZMtO/+O/Ts4uz5cfPuO98xfUARdXWwwVuVOmIbXnwVOELFRpHePuZZ2ITgCw/TCu4m8y/F76q+7AObj/aPxcw02geCfQJ4y2XmaZxIYaxvEFhHDZID5lMYMjuSLpW3TGedAPh7PDVg1QDbpQZGeZ02coRVuNbqiW1tIp8t1bznL14wF6g0lSZIY2jY3Lt3myIoNhReFiMaCSegOS5vsLfLsAuIZaqIYfIg7e8nMAn0eGTEw8AmHj/e0gl1f98AGMXzcX794RXz6eXr2Cc2ewxPmarNhxpvPTeGv+Vx+48z1icV8jnOZ5z0tWrTR5tEa7A1EJpbwtDkhKgAASU+ddLC43HkigVn+iRTzPdWk0AH75OjYQfoS8L7Tnq/x32f5xM/wHmyOUcP/3Zf46XVjvpRLg/cefdT88J1kV5F4zE8wSia3r0kF0NBylQaO+h8b5gM3WZWltfpGLZtkoO0FWNiSBPcSU5WTPn2Cp7RbdPI8pmyjf0OFPcgnv3MrJKi4N3ofKBrCAUxaiGOFrid1AjDCDrFaW4RItyrUTY6jP7KxfOnzHs7HzvGW9QhTVgkAHYPGWuqRetoZ+fpItTXN2TGB0ZJqqZopDCII9KgeGjdxNkcioSZjTDvBbqJ0pBiYmwSVUYfZe/rZhsoJ4boVygEHRLPz7uPIAnbYbQ4UlS1ljHKBbRPlm/e4WpRFBwaRLt7mEYP4K14hEXUDhNUtap9UwOdlA56KU/rsGvQVc/d/QwFFd8gKVbvvkqMrb6e6uFBmg+avFLxlPGUKNIJRL1OfO2eYdK/Ep9TYl55HVsxx+/0hfictPP9iI8FYO20EH5ryzqRC7Kv09Dpe1HujsnDP/F1f1VvfEB+S42MHRKDiBaOYTxqN3rvVu5noZygouiR4+LtMvo0LWY9vEfUv4T7wubcc3N0HAuhsFdDF6VjVtEJ94H3DtAbM0R4Nj01bQ3kNhWT6sqTpaBl6/b+4pUHAkPuoF798BZVnCXzzltvmxFK81sYStKaVtZWsqtKPIXB6RLotfhbfhQSCyaBtyzaWGQC4wubJIZXXm2k4WW77A+exQDedCoxSIk71D6cENEfkyQbh4fHwVEpDqJ0f6J/hM0hZXKElVk2JnXTCeF9j9JMepYuOOXpGTjGabOohhJdhx42he2sHYSd0B1YuHXL7KyvovlNERMJtmhfwnbn6SD5GkZqt5+OPQ0W1NYGbJtHPqzHe4HXGHj3LFqzkinl2UvG9Mkex8z8PtkPf3Jnk/ehr4NG2C5w94kx52z4JboodQ5RnmsM/fYozkUVFclKDt0aDEGDuVWnXaFtqYdH6wOqsGc4qoG3Spuux/Ow/Ukn5bNocOvAIIoucHbs51BtbQ9BgDs50+nnxVIPE89UXrkUQ/XoRMPVZ3xDHuOTmxBHP9P+JObR33e8V7o5CkNOwxpwRVLgtb4BJhdeTKd4IHTigY5M9pv5mXHKwptEYGrM4DeDQBABdvoYzYxnZ+fwbAdNmWrKs6fnEFvKmm0w7521O8g1ds08ywO/32x5usfrKzvwdZt0fv/UTE+O49kOoD9OaTre8xeXPzXPPX+BUu0ZFMaQBKBU+/OrN62q0RCvC0UTVIRmwMkx7kM0aF6huIOPGx7vA+aQPG4/1Z5Dtky7QmHN9BgQSZjS7WoW454wpyj53y7kwcIReGfSi29eye9QGdljzp0+ZzXTP/niA7OwqdZze/NcDR3UNaYBXhGlLVsS7F/c8nq9TDejqNM4CAlLhbERcPXt5SVLN20LQnnKhzxwrdN9DR6Us1JU/bgGXLkaDJdUFuV1+pEQ6GC8Oigp2sN91H4ZLby8+7v6PKGbt9dBUxIMpPQsfIrASHJbBpA1fkeFAnQedncxnPRshP9asZv714MgNrL4NvHn5/UhIrAWn9NiV4ziZKi5dUAdrPhdNk2PVCSC/TgXoUiM3rJQX22S8SHbt/5kE4t8vjqPPyzx7Z1GRlsG2f7Mf1RZrPeR6LUYGrmXdg66bwtvTfCKtO89/Xu9R9DeN/l4hLekxLYglG6v+7goyJdjwL2HpOeV5Uv1L8pdYJd9QCT63nrkLitP6zCBcVy4vWg+/s0OGPUlM44XOUy5tw9+ttqqBYjLU1RhztIirFTIgQGjZMjkjSbpv8nAhMDi6iTw/LZc/QBtS58t9g5fg5MJU6ZZ889+8oF5660XTG2iYVuTbdAL9IsvbpolcPSXX02bdQz1KuXrt1CcO//8c+bU2fPmFPDH1giqfni31ZERc7n4CT0mS6aPTjlJ4JBoT4/1fv0kLRfvLZkdWr2JjhgI4GVj5INhNo4d7j+DOmAhgI5Jk89YwKPKwnppm/N8RrFesk2bu8vSraclcfjCllkFFlneXrZGo4FMb532ZgGpCvJ3Rbal9bRpUDJuF+eXsF6s9kr3xJUHLvumgp7HERHURkwDiw6RjdW1wcNUE+cAxqtOtNSUZrncOWHuNAxpA3f5+FddfNoYlH2h6VFwZfshBweMa1DiTl7w2ICdbx1BWyTxAoSALao6xe3tZNKOMUbqIcDfEjCaVFxWIcrqdPcq1blI1FvDql6mNlI9EDPqR927jKLyJah3Nkt5k8sSlen39AXtYaPX+6T4Ka149aYSQbij7kwSGYItA6bmeOWPOuQdH6fJiPdaXYvokbpOC5G4XraWnhTrtHkf4eMfdXnfpL8/iWj4yzPgcorzXYubSaV+mEFw7tTpYVNexVBtOElJaQRsrWbM3SuLUK5I4PG6P/j9t3BM6H05MGgBhJq0qXHpSnis6a0NPGY0r8HFU/1hsHG8Ibr75OhD6WfS73M8XE8jnELPhGq6MBjeFkp+akvWge+2isztFp3dl8Cg83nKtD9fMzcR36rhLUS41hDYdh/ezwTsjzDGeISGEvKY8izOAsnTe2w6ap3UD8xz6uy87SMZI+SdnBllcdGBqLIFA9BH4p5GFfGaifO5Q2xWOYOed6eATADKighKba9vmc8/u2wqtaJd157ombe812mDdnt11VwhmZZWGWkf5yQnEMDwF9kAstvrLHRwbzVK1j0/ZbjWW1jyvm2DBxkQ75dctDr3nPiQ3ZwYorfqCPRQZAM0R+Dud/ggtc1rQi8N9WC42EhlrNW/tN2mkAsD38ao1PA+9Rx2L8dijpqLD1lCBw2pDYG4EJ65rz9le4X6ZaA5r07jp0LXRxFPQ82ra9ysYAQ8Zh8JvACaPPLW1a+1Q2S3OzB0/9HcJrni9CBFFdGKrx8MGvUBEtvSl1Up4xAkoXJgEoBtvPIBJG6LNPGolPl8FBLt3qMIAe/IR1epTsbdILxb1gZlhZTc8+kz9Z6TbvJiOinytZuQex7vPmS4T3reE0+aZ/+NnvKrHLLjYt/e3X15BtwumK5B1feK6MO0B2OCB0p4EK4BV1iaWcvuvviLj5fxqD80b7z1ohnspRky3QJCQ3TggTeaJbEpSfQEnoggkCWqJbOEsiWSJrU8vx9iEbmQnncJWg9JmipfOH8OCdYcCdEsLcW0ODH8vHgVzLmC/op3yHhbeVRec+rcFKu1xq2UuQ6SnFgqvxZJK2hm1WdxetCMkRhNUJXXpM2ZXI8sEYJDQUNECxlY4fgqOJJNVf/KVqiO5nbYjAdHTc9gn8kvwhdH32NpdQlvErVByvs7XXXqwsC3SjtmcWkT3Zat3XBXXPYA49kkoVoBAzcFJbe6Fqg3AE8Tc2TYrDKhhK26nrc88BMdMG4kl9CDpIGKqwoYwBqRTFsQEc+qRSJP8yXCB4QxluEIEsT9g2aHZyoWjgx45wAkcSi0cnBMDqOzWaMHBVQQDpt0I8vgkhT28fx8qT7rkHSIgiyfWcYWI9skutup8hquzzaZ9sZEhlgJQCUGhC3hRftoaScWh58J2hZ2LFhFOPOu8dNOyJfoWTgSygF2eNZ17rXe34sOfoGGJzt2Y7Kwjh4B0F8Htsx9MOLTyHXtLjD3SXv3+rjQ2YkmzrP/Jg2P92gPxF1HvnjHgO9mQXXKJ+HYH+HzdeU4jprgy4Ul0+kymIe9e3ExY976XggHCCOF59BqlsCe4VejA1ItB8wK+HORYoEsmteba3ROZ97L+MVp41a3mbWu+1JEicfWhN0iytvE6X48/hyFQbQ9AhYpk1xRcnL3YN0mJikoQnWub5wiHzD4bH2VrjBUaUKTquNBKXk0ciqBQiIJTbyyQp3OQHQSUijdZDGLLVMh/BVAXGVBbyrxCrafGhmgiUCfva/J6IAJT2P4z3YQS9oBvklTiEThEl67T0wDnrI2o6ZK5vG6zr70Atczbu5ev2Xqt/ImWyMCoCjJVpcCM3Vcyq29D/Gxe90+khK/Qltdk0adyDVWlj0iWOkJLLYnKWzlAweK9cIEgo5ZINoq0H2oreYLSpBxzY5thvJJdBZLxU18OmkdU7Xraw6j647oVEuvfdhBotwOhsS/LC9ZLr+804NhC78TRqxlJ7qccGU2lQAOBcrIps6GLm15o2S2rotWdhYPV+9DhSDdiUS7evmbaHh6DVh478wswQOSvrwuH1wxlBp3GXxNQvByYeYwT3wwO0J4/U0Slk3qIrboAGO9eeA6JRQ7YOC7sJnXSWmfAyXrf4R1+u1LntoIqIWlBeo0D8hhOdb3eDbY9cD3NGi/1Hoe1wuvCyN7xFFAlXBpHeVAOtxn8S77WaBJuM45upRfv3EdXviyyaLvbJNo7ulEW2oetCaKUDFUvihJw/o6cCYNlNGKbeA1rS9tmXWDR3vwYO1FUEKcOjeGWBSLMYboU3MbmJF/LdYnNUPCeTy0Wk2UPzwoDEEDTnqNBFuFxZRHo6VAEZC4wIXtmimssth8MFqSO2YQozN3atycnqMZBZ5YAV3zBosuB3xkhc12ZXfdC1NEDSOmB6rgFPK50nJfat9lIqhMG7wc2ocf0LwV4DOsZZEn7i5Y7l3luqLjClJV4Zw/7qe6FNok3WhkS2rpxwMrD8O69XknYRt0NA40/+jFu5ZiYpmNqx7E0xWEgCSCcziTvrpdNJt4pJt47QHgiRaJRVvx+qADjn0IPRw/c0kUUbsbyPiKEuc/zOjrc1x8CAsdTCYs3BcmH1OFylkHPvERIezqCWlDsG/RxnCgKEsG3tJQwdOpAI7iOPQCucSA06r6fHI7BXB9a4h1iDLoRQnC2WGd1GMkcgXdEB52MjgHsgZsdrut7+Stf0lFXI9av9/+/f4RcFiibLaKmPRw3SV6nH3VMeDgsL5dRrlmwbN3CPt8/7NPTDo3DN5dox1a08zQaT2NItyVT+hpeAi9WS3AahjmUGS/9y04RP02U1AB1XB0Z7NiKnQDOuwIgC0nxv1mYChGqT1JM4xDQ/imMuzStWCDUDZZAWuZwpxmtEUYDxNESD1eWgzMNBhACGtly6wsQk1UQQtRtpewLaEmWFpN22bEZ2bm4XTnaHMWgqqIwYrzt3zBe6m9PLuGuZ0imtR+fE2V/4/TD7QPCEk4r48EWxYj0kKV0YyirMjrWqjjSZ2wScGT0TjpEStyx4jAUmR3crDQuhpiJBgczQoNBx5lBK+2H/iiQEhfExwhjjya4w87vKpq7zUafcuUY5BO0oSkDYRVRCUxIA9UkQXY/p7x3rsSfY7UK5Usa6g4xItLD8AjPi4m2MdzGSD8wADKk/WT8KwyrzqqRILNY4tNDh7SxtH4g7XrHH7GvI0z4YdG2qC3a3NbSR73kPFUZa1YKuoLC420AWOmjbe8W2sPzdNPhKFEtxpI98RQOYSBpAeQIAHeJqoryoBjrJ3iF9HwROFiMJVAxQFo2fp+PSx39VdVycVuGeaZSsNAkaTliX9JSZCHzoxv/9g9ApYpJePtes0ngVG6MPCTvP3LeyDymv14YJtgjluULReWmmhQbNtkvyCAQw/BkGUSXF2FJFrkETS5+1NR2q3F2AwKsDXcyc8QIDuOgJW8VLBpZGX7p6Jm9sKI6Yc2ODo4YsWMCsWc5YjLEKpBsCRFYwpt40mMdRBoBGOA5+3X9+EYfSljpjHVomAIXBZPaeNmzhYL7R58u7OSNVcvX+b8PWZq9rQZpEPOBgahRmLKJyPgvVgbNQ99hybDDdgmHRZvFDaDoJwgpfkdMPkN+pA2mwqlqSjle0d03vXGupNJvGQQumYbL6DEfaiwoIX1Dc+Sk2DxT01Pm6m5aaKCBIyZMMnSHRK6t4EkYLhgoLJ0QlIBlI9NbZS+p5EoST0kByLAOMt3fulAA96Fy4Az2+6DV44yhbj+zB0kEZTo033ISz6Km/KA14SIuibgy4umk2bDFDzllwSxyrzVBENsCpp47IsY3E2gk5N2DffVT3EU2HMHr7/aiwJkN84ueV+onXGS3QEopw0JFBHqtPH0O6IMwmgiO22Ne4ABSclww+eWjn2QCV3huQn/DgoqGaHbj5grgl+0c1utEPch2l2RH4EKDRGHYTO3v4D1Yg020J1fuiRyNug6ZfH0R2HfOr28kSSLQEnJR2nKH+X5ffuaQ0dAfXiOMo0fNnx7BtyeSbP0fkMubyM5Socb+NEF2B7qyRhhsoWYYFr0ZZIzYmG0oXN1Hz55AvINLCb4kEvVhNHXQQpa18lkC8rbYINrME/40p2rMvdRh5Vn7DrkHQ7CHpil6zrMWbO8IpjF+Xwfzs+pF/uAVWA08L4mL9ZiF51vYmzcpPCK1fygWhsCzwabVncgSoLbXFyYsfBjoaSt0sCgV8DXLRzBomlBZ5wemzL9cdTrUjt41lGzco1eoXjf9uC+i3h1t67fM2NjY0TPUxh4krssyD4WY764/yb0PKp4VkUSVlmaT4iaGKGsOQy8UFZ39O1t01QyS00dxCWktdphLAB1WX/5jfNmYHTMrNNbs4RHmAVTDbFJyXhMcC0DFBTV2YxGqPDsUwRCKK8UboQNo3hhnsinAgoQsd2NhmiyHO0ZpLgKTHbtE1Nh85HXrWcluysDfuJDe6yH5Z74JM4b1UIt2pPAvjWQS0BqIdlnKiqWkndrhcUeMlddKYJOQRuj87oGFcDe4ceQ9tJtPExiPsEmXOb1NaKoMolsQV2WbaDkpcaF3ExzecsE2CjnpiYs2y/Npr1Gr86dXBmInwUu6IT5ar1wbw3JcKtEXYUz4sDLa1e5urjiOuygEz3xXOJAMk3og1Ve32adtjY2bYXkoYduB+fGh2aPMPb2MnPoy6IvPeYz/Tq+XXIauwyUE3rhdkk5ZtuCcoeOQ3J0yPzwb/4VlP4wXBgsJdEk2RrGtZXxLsH6EHyQXl42C5evEoFWzfnXXjYXX33degLlwo65fe2K+fxXHzp6IwcPeRFyHpR0exAczu9zt4U/HP3w402Hk/tvSwa8D4bIDAvm9u0Fc/vqDq3JFG463vfMDAZ0bJQkIgwGsQEYkikUDgdZ5AkWE7l/PCYWQwvclD6ITRJHIYx6GwhKnrifh1IFAy/kNtjU8njmMeCRBB49mirQ3aRk2GEBjc7i1WIzGmyGddgydZK4OyRPs1RUbm8VzdjUuJmcm6e1W4ImC/sxAHWKF/slTBJUOtRZRIIaGSXMROEjwcnzUbOmDt6XfaIPCFFmpwbM/PiIGSQROoQBzpKMLYEFy9+PQc9TMZMqOHvYuKpsFHXh/NxnkSSiD0MnbeweNvURWB9xoo0+iXApWsBYpDD8RTBha0vcSeZXspCoxnqHYlJ4JdTdJePOBR/9IR/zlX4Mk49kbhredZ2ktyp6x2dmzEaOPIXXyPoo55TxliHWhOruwCJnGKgnOdBnMlQp7gCbNCXiRP2C9RSqbvQgiIVzdHjmNbBubb4a5yZRVSS0CZwD00ZJb7s43R3Q7oT8HJYB57PlICnhIzkHC5GDy/MMbEMTO+YIpyF/LJw1RFTQ0uuYry2S452Dmjjat7QGhnpN36lTQJRsOiEM+LcUwKPMhhO9RslLZ0/ec5qPO/N3k5hW1vEQIqhobacunjaTk/CepW2tcAxDJdGxYKjDomX37wevU2Ll3JwpfecVKwY1jYLg0OAYHqkmXctkvvMC87xiPv3px/dv6nIIso8YA3kiuyHkEcaLMYmknAISj0xg+bqcZn52nGvwmWV6KQbieM0JSuah6r3w5hw0wBkzzOLrpeIvSPgbI1GY8FMYQsUZLGN7MnmfEQojQsAjdbr06KTKJ5dYnEolxNk1emPCb8K8Fq+Y/+0QoYinmwbLXQZCEac8RolxciBkSj0Y79WW04AYuGD1SpaOQ3kcaGGtbtsl9xnrHqR02EeIOziG18YmuriySmNnYBmbUOWGKSoJ9A3b1motZGwt9exAZV20N2hef4XIgudbBkbqZUOugu3H8Rq18OXl5zEuKRLFcTaCCsa8imHI0cGoDI1OfThzMELGRojMYr0mQVNobSopPMFkasJ89mG/ubdwz0p16BA3fPTMpIm8MGnyeIHRoQGTXli20ENscNh2W5I3IsZOFV57k3MH8foF5VsFO2lr6OuER5Q5OknEkOCzqsAWmSKSsHiwz716mvEMU8GbpgAKOiBhQhOoyBMP6/64fY65pBUmRyjSIoJbYYwFT+g+0YjPrW6ZIRyEhImZMptiE21wPB4Hj7ZwHvAEht2uW6oU124smOX5eTPD81xdXbM1CUpmF5kzhkKu3ZJz72IE14hPLjqjPGQKe0yZkzHXmnUS0fo7z6+OgyEtTT8ORoj1I9qhKnjl/SvJbkNEOU9u0CHJg0gcfXmeZ1ERiRgt3ZDbCcf+27cdPgLKk1kWire2+dkqwx6CgjxoDF0aoZ6sbP9+L1zJuR/+wQ/MS2++aLPg6rlYLFE6ru+BBZoYjwjGQlCKQmsJPgUxdiHKxeMkDuulTX4n14ALg/b3ymsXudga+h5UTWIkSuLFgt9KG6S4Ct6Ld+pk7fdfbh/87u//ld8zPXgduc1Nc/nTy+butYWHO2oy1jpX15Ymx298NGlevvCcyeH1DA9MmOQbMyZ9GuYA1vO1F18DjsBoY5yjCFkH8ZqjIZgGlGzCNsYI1ZCozWMoMS5AEwpRe5SgAvuVQZNn2ttLeTdelK8TpkguiZEg1AVUFzNljYIjGXAtsADjFAQXLaM6qLVoLb+SrcJet1mWyAvc/PO76JrI0DsQhGdAtFnGKdh5HuaKn/FfQ4mwvYUWRorxB3tttsDCuV7pDbeACQ6Hr3wY4AqVpXfAzRENQ3M9R37Bz6akZ2ghV4x+EyXEPFoxovOFQhQuASW1eKY3b9/CqBN9sUnUiCg0nhrvODt7lBL3XhmsrrGXo9pLUvfMhVOmdnqC82E059BuZ/YmGbM2n+Vnty2Kw4+h3l5bx2tMmFWw2z7w4TDjU0b3pri1ZRrg/+2jVBW60yiAt//Kuy+bs1TQBri/PBvjXZpy9ED5HET/Zju9Y6a4rpFTs4iM0SB5bMiE60RgdR6E5xxxL/LWDUlqdmjb19SnxLHu0UYTLizBOAWszjX2VR609HTIIUjNUmyrBtftIyfStiXzvE5OMdDHwuIycFTd3CUqtIlL21CU9ShPv3s96POU09CXPjPB+tIEUrGO8GrpbrORBtkANAdshyZFiiR1I0TSidEB0+LfMj1hOybtLHv3sL0XWMebqxSusVFb7wfW1QMhJRv2u1GBZ+iVuLU7Gb+X06UQzEpoulga4+EjaWyZOodF43+BrL1NXt6PWB9rBKwBd7x4VxO8i0cYYPAlhaNQLkBJeohwbZAwrEWI3rAldzWy/Q0KXFj0YOJK7rSYQAV0kss7m2CmCVvSHib5VAMznqYgY3jwR8w9JRYpysCQ51mwdc5TJNy8/MnnXAaTBm64QrdhWqXJEzx18ax5+503maP4Rbz+bbz8P/m3PzG/+cWHcKoPYC5MoOHpUQppCPtbhKIyPp7x40ZffO45xKJmuJ41c/HcSzgZeMgkrQqI9NehoA1QTIFPbndGcbsbeGt2TjIZRQRoYBzTaTRXeH0ML31sAk+rp2m20ZsoYADDkQrwwSBvkAekcapaD0hNKU4zFgS5hMlVMwT/W1WluZ0C3jkd5qEZql3FHfi8ZStG5HxmrYjHT5DjldJrkVVJLlUydTPS12+LjvJ8tTH4Qbjt2lBEMWyyYfigOzZgM6B0dN8irNKA4Mc//tS8+e55MzmPx3ztBlS2FM8kg5JiL+3BWOw2KUkijWcQwSAnhLMjoBTEkA3AnKhcep4Wc1k2qpiDwVuN7AyRPZEaHr2txtT6Fv7N+i3mMybNZhPnXCH+PgjWHsL7jYMb96eG+D7CBgnrRrDSzLTZ2twyoxiiXsrlk6pm5DpWMbzrS8t470smT7WqxfdlKDSnhNsK9pKnK6/SpbycpanGCy+e4rkwH4kmBtsxPosN2VK3yOdgxc4izavVNJjqIUfaNpsLNbzybRu86NAGNDo3ZWKTPfRRzTC/qMbk/JXlVSchqUOwxrDw6AhQWZGkdRjJYflZwE3sbnq9ipG0iTTIg1jYchjJYZ5ZlQ1wYXERFhLzEAhSMJQtfX+U4qGat9qKSpH5eeZU4/pYiz42QdUe+BQCMR5t7qlDTiSAAW9QUNZm7bXZY3m8u/ZZc77FWq8T9viIPAPRXn4GjvG0Zjytep6v9FjCXLecEVLl3KGgO/7VIhFLSxWxevDYAJX/28lgdzX+Ri7Fx2bTUbL4UUnVY5mzr9eLra/t7n/ePur5nEe16y6NUA0GrJWyUIB3iJHwx//qT8yNq1+Yv/o3/xIGtZ8QOgc1bcfCeSppD7LI6xgLSb1m8U7LTLq6QlEWxnCfquL6WOx9NEpQhVnTJClcEE9ZmHGK92bZ5dfXlswwJekj77zGpGvbZFgct3ME1ofqJgIU7OS3lygZxsTxwHvA/v7wD96xyfc/+/FvbVLVOy689Yr53l/6HZyHmvnVT/4tHk1pN4zXfAoFe5jAYTaXUetFxzEkaZJ+Bc1kpmKJBFzOlkdLbwUWCZ+pTj/ykKUA1xbnFwNZpfLSR7n2IlopoVDJys/WhWkSMgfCZQxgH8YfTBvGSodF7GDjTTNPI4YKm4oSoE3eX8cDnZiaNSN4+QG63keTeMJzBaJizkFptkLolTufWFzb2621jjZIMP38P3yMVgqb4AYGn9+1CDEaGLQAUUSd97WsIt2DGRvxfhgyeMurYL/rsFX8av7APTe5jhCee4t7CWJkB6Q5op1DiTE2OJWEhzAWCRbiCBuEnlEPmh8xFmmJhZtlc9O12DXrHoKuqmzuy5tLNi8gSmYPG0VqdJw2eUEzwDX3AtckeQ7yxJVAHuc1CYx9obDNe9GbIQKKUMGa0nX3nDLr/VHYKWs8RyIhNEVGkTfw2YgvjBMBhktZeaonbL6D9z0+DAOErLdPhgWZhWnK4UsY3joJ9ghGxjbx4BnOT47xzIomuyTjvnf9NvfIBjwNzFFnHktiuMUYjOEQBM8KWkbMDAentJM2RYywjOkAc189C4pEKoLMhkg2xphvVpAKwxrEENYxdmUit7Q6P0HVNIpCJR/hV2s8ZyN64KFp7yn7qfJT402tAeRZR9l1IGZaolMyn/3QGKvrWRwrrk0wDvOrE3U96K4P8FdERMAZ43MlTWBFsKyEQJzcAUki9GjAyix3PsGXZWvpGpk3KkwpbW1CyWVT02TFabMaL4oC9Vx4jTRZxOG3nr8wfBtNHELZ/HrZ4hNdrZ9xtVT9E73bedMuhCI0RuFst5CajFiFnfr65dvm0vN3zPT4W2YLj3SbTjSaL9t4S0MswCAGMS3mAUyGIkZD3ZaD9HpLE4b196HygeBSP4nDOHQpeSG9LExBFAE8lCRYYpMH2cQDn8bQKyEojDnBa1H/4T1QsjBeq1tk5otpM0qzgqCP3/njVm72z3/zCV6gwwIYwMN/+3e+Z8ZHxggdc+B+99MeGmqmQFKxhwnZ5l6aeAFllZ2zKIcJnbeAOUCj8cphV7DBtLFOGmB5omHwwQD3luxHIRHJ1wKLTlFEqVa2DRqajJ90ULZYJPJGFTYKw87ms5TrZ8wm4yA7PAp/PQr8MkiUkEoOWiw9jPc5ODRmUn2jNipRW7eeODhoXhWd11kHRScK5bDeLFV+f/6rT01oGFW6oEJ7cRao4hPESTWTD0pDRxWL6pb9gMOPN7i4zWZBpJHBA0RJBb57yoo1qYWET3AIxk1QkZQMVZ3akjcmWhzvWSVpncQYjyPk1RLejufXh4cubn3Fvo4Pdg2Qvm2ymWTrRbMN5t68dc+cO3eKqGyC9yQozMIrFwwncSoW9DZJ0z7kDgSeR9VPFE2Y1SWEvjDiMeALVb9Oz02al156HtsQYtOn1J45swPbIw+b5PadBcYyxEZNr8oc0WCCDYVnp5xGpwmTCOEniaIVLCRGRMM8aLFJD8O2SuHJJ7nv9W54gesvw1iZmKXQis05DZwzCntnEsYQaBbXhVeLYWthnJZv3aBjPc8NY9bBgy2xThJzITM3f8rSNKXNUqF/ax1nJU/UlhXmT8LbUKxmF5YsogznUQ9dp+WcM9wYf3lXHcbRR5RFdtwKXkkiwt7ONkZVMB3LyyGn7r9Jn3RZyA84ao5yD2V4+SLK6tgqVEEjytvCgmJDDjM3IkSxMdayhLSazMWKkrpW2EoJa67HMm74HmVR9CTsBtax2i7WCzz2cZyhOfbJv8w3KEq096//7HcYjnoZrgeutwtC0anuH1HlSn72k/fMPI1/89mcufY5i2MOTwUDmNtYtdhoFgNckWgQXm2QBxqkm20WKGVLJeMkY8JUBUeZ4H2EwgNJZE9ltCJg5Tx4PZA8GHIaz81P8UgU70RSqmI8JPB644RqmVLW3F26Z1kw/QMkoirbfB4e7XMTLMKqmZ2bM2fOnTXnMI7VElFCmYbFh1AXGywO8WwjfI4WSpWiDU3MOsUiNX4/Ct1P26KMbY2ikBAYuOhvCYo1QkzOKBvKKKqIacSiekoowcG+KfM6wR9q1LBB2L+T2bIqcCE2phLedhmY5y5qhBtX12hwPGyGaJocBhcJMm7JBAlPxkRhbQg+4WCCfALjHcYAD8BmiDSBp8CovUhTG6yojfExvF3aVEWJUtpshi3kdJWgajcpFgGCasEDD0AhC44Ao7AhWG+8ezx42AUZEJKcUTaLIJ5hHwqK0liP4DqTn6byUWp+NIzAEGyjsNfEIyxgqHuBWvwsVlWa5guUqwP59OORDuLNNwm/he8mkdEVBKf3eKicvNSZ0+KVpywmq6IVQR7ivPdilEtorSsClNLeJqJisSZMDoxbjShG/PssbKYeII4zZ09Z2mo/75sen7YGPCGeNXZmNb1lbt5dREsHUTHmR4YBW7nJZoMY1iQRTRmYLIV0wdzsefB+xoix3E7nuIcKdisP1o5UMXNJWH73SpAdK7Eh5oGMOtr4q0UqajfMKpEOsRgbPAU5Y4Mkr3E+zlCQBWOrDAvn1sfXqZKkj2Y0Y3JDK2wMMRyOnFlHm10XXAEHbmSIyCTLuj8FddQ17LzOe6+NvXkGopDKaKL2KSimraSkB/UInsOR6ciAsvfv3qizyzoJVu+w+i+CPtgIiEaNX96ysHEiTsFC5I6UzxCXXbUBcbD4KuNcI9rpiJapQRSVVddnFR51eSwoURlP0IFHSeYkHHy/nyImnu1RoYbjDeaX82o5kGSZGBcGR/sbHystyfvjogdfz66L6j73B4LqGzTkfe/9T6EKbpvPv7hn+p7PmZnnT1nvt1FD85cFXWXyq2KyF8+1H0+s1gqZXBrPTNVGQA/6Wxp9h+h6hkXbz8Ui8IPRbOFplzC6mB3rOSoF1wtWmcIDFVWtyerJ4rVlKFfeJPQbHgG/YxL00OHmpTdfMeOEtRN8tQj5okyyATzlMmI/0s3ehdi4Qc3DHPrbi+hjJ9VpB48Rf4gJCPuB4pQCBmSIUFPvSRIeVqDoCZIQL1renTa5erWAZ9dDhBBk8TVIPAEXKKmY6MN4ct1orwRJUinZWdqkChLPvs45SizaHvi1L7x0ySbPIjBJVDmpRg6CVORAVdhUpHJXYgHFYnAY6DIvlcWDOKFCrwGpG9YZP96j3qFlxlDNnNuUpLZQIAzhJU7OnWOd0d0HT7lAOfo+OU9t1vCQFTkMDvSYEdgkGq+ozi09F2GyJDjDwBkNauMZCXufStBpo65hFMRtlvEqE2Houl9+4QV442DlFD1FYogz2QXrepJyENkwxWgZwbgp0gqR7whheDOMTYFx0Dl3GLcNIrm0Cpg2o2aZcLzO71R3kGcTH2qkzNgogmGwWBKcS9K7cZ635q8KiibIm9y8eZvIMW8aSCt08trxkN1ZQooB6d8CRuzic/NsVKfZZPW84mzQY2azTQektTWT2dwwZ+fn7CZ20JVRUn9l+R4bdAYHooIw2aoZnRq1BU8qCFu6lcbZTVgp5KCopWyQkkTQkaca9lr5C6KvQRqQMN+BOuSxKtHcgbniGLbHMBze5rxLaXSvviQ3T0a3C6bQI7ENtQ/5vIM3bT1nbQKu3jPRrzXIosxyXtFWFa1lUOIMKWfGuPn0ed3Ogle0JqdJh21wfDLgYA6d/JffPGd+9fG/Ic+DsdtDfB9j8L6it3qejTfmNot8vEngQijaKJ2yzgdGNIz3b3/1GQtDoTqLluTa3atLZhLaXRRPumZLInmU6FE3SWwWSOrJcOuZaaKq+7I6cgsOE25WlmHEWDel0IchyOFdBYEdlPRMitIGpKCwNgbNT4nETQonqtoQ8PgWd+7ZCsAEXroKX7wMXwocVq32IiSYpE5nDXjXs9HQyCtr4TVIMK5BeFnBICuJpshA9LwmJ0ijdicPXGGncF79rSWPAk86vb0Fk6Rt4nhS66t3zTKSrmESsprMJYyeRKRCtsCH5C4TV8k8aZInzmoTSECvpAkFmGgBFUThnrqOAptKEI+mh+togolG8OZOE26jdkJkkLHX6z1rPWNJ6bZ9RDH9w1SnooXB62tLJHjZLCOzGLb5HjNEW7VhEqXbW4yr6CEHNZ5F+9wENkn5SYYK84YkqTXViJPj0Di1LYxUp9lFns1VuWUZb+lfF8UiYg4oaasJ1KEn5L1bC2zOaRulDcAt38JTlcH3nC49Bn1/+/YNs7C6AvQwYeamT9kN6BbQSJ0oIU4kUJERxxjmiWwycPHF7KlyD6UVDDqYbZnkoJ7jpfMXzCTPPiQMll9sawNgs8ixkdy4eQs8WdKtbojOGBMsmI1KwYzQ/DpCBHH1xg0gmj5gszGb6CtKL5s1kENNcH17zdY1dC8lbeoSyMquF0zhFt6zPFtmVx5ceR3WkVJ5PqKIApCULLHyPHVVQrpGSzn/Wq5hliob5EmcWakKWKvb7c3RE8AJjzQ9T+KcunnNH5LiSpD6yXsEiKa1CVsHW9g30UaLSDSqtasGEoKDXGRg15iLS/o4B4vglZdfoNHLgPnlh/s3gOOZvce5iCf3XtlBkR2sEgr2UdGnzUUeI7G7BxJbCO3hT1sSrfbggdXWyLJjkGboAq8qvQ3oXRskcFqiFTIrg7iULRoXANDaajJRDVWVKGGnNgm7XH4N70fSsHgnGPEGIWuTHbyG4UiRKIskSTJhENdZsEVlxjEGkR40s7NFU6ZJAWCqyfi2MRQUS4Afnp6aMpN4ZXWMzsXzZ+lGgv4yHvmuAZEjwqVLdnYECERi/ArpFcK0MbYRkl3CXDcppHn/448w4FTI4WkMQ5sLLy6wcRVsVWQGLDtNw+ThkZS59sUqOH8JT7fHZKC23bu3jTcGDDEzaXHt/tQ8HjthPDrlE8jM1tgwMmu3bHl1Fa9S191RX0w8UFY10rgtu+EN4xFvrN8iiUsZNvi6CoS6rYmwyRx66ePg8IODvVZiNYoX3oCKaZDkjZ4bsknMLTaYQbDhyKlJqlczeLIHeNSctopnWhzc5pqnLYVtAz3zCYqIUsAhcxQ1ZbnGEJFOhsR1WxEUG1uZZzgAg0aFPjmiosYGXXEo0MmyiD9evYxXdAUMlu0HMo4Ydt1RkGht+R28d55tFgbOFBRReW4NkokFvO1ejEOJjb5opVedZ1jJqOqRHzEiEnhaaJH0BjoaooAohNEPMLeqPMMt1Ap/9dGH5uoXN+z17CsilDzIUIJq045ZJALsxXlI4+mvw2RRkdUAkZe0a5bvrZuNhW0imPuTsDnohrkVhf5MJAmM8RFl2EPSsvdj3CL0L5Vuiw9oJoIzUacsv+rmZ+y60Rx0jbf9kYFpdatePjnbcLQzHcfquYL0HTbYIDmQJM6TKpBVsatK3ZCiR35fwxmxuRev7uBJbCDu3cydOWNeefGCSWcRbutK1snxiJK3qIVQ+vwaab50VDnFl/6V4XacNIcscNTDGnAPc9FYH2m8FR5Bp3vlO98xL5GF7wGOSNHaS2WUKkSIkHoXhVCCOm0MiXSwI9LIwMvJg5du08ass1MyOWAQ4ZDUISIY1Wc/XGH0wtKS2Yyhc8KOXiABpK4mqjqMA82Ee20VAh1R8HqY/HHKzZskKzfxaCNiuGDsFuEOZ9WpZnN1N/HnLBjlYxT+6aa1qXDdwQFwzS084hICV3jSYGyixeU43zoebfXTVUuujwCzKDE7OBJCh6RiLn+xaUrQhDV4ACRULtbN5h3UB4k+4hivcaobB4BaWijmFTFygjZ2NpYZi6qZP3vBXPuM5swY4ZE5OvOwi5WRd1XrtWEZbSKPm7A1KhjcJAUoSnx5dDbvwfrF4iE/MEilZgHMuILHK25yeZvx/pR7mQqaS5cukGDsNzsBro9KvPsMOCdrQj9cvbKKcxWin+iGZb+UMFQRhL6ef+Ui3jul+RS56L7UQFniWBUSoy2YKxE+u0meQ9BN9yQSf1w/t+S1eZWYGn9eJthqgI5FOWCizY11iAolciPKh2AIgKRuXr1FMnqEjcyBwIgNYGl0JfQ4ZXG1Yj776DKc6rqZJwLcgRklTFyl5QPQNUdngNhG2FBojlEH2w6QKJ96ftYkcTTSzKe8OtqQFK6R0Gtj6BUhxoF+hEdXgDZi/XHTq1C2C4yUs5Tb4t49ePiAM9mGwSO5YGHh/jrPQTKvouAdaUEddbk+2deFWXuKvI90aM0XlZiUWBbeNlzuEmMeJD+l/EqIiNcHNNIgn2BldJ/woTZ5b7z+CrmWsLmHtLTFClw7JwPehx766JkUXbRk3J/hQe8aFwkI+tRLAIfWIk5qKmO54UfHhRweuDwDfXVxwB86/nzGmZfPmZcunaXVGfrLVFoWcmhoVzKEvctmZatmnrs4Zc5dmgdLzZIXkae2CXxCkpOkmKQwDf8XJGGXJnzUaqigUhnnwfD8K8i1avH3UTV57uw5mzjLY9BrI9KTUNKdtr7gD34rCCR6IWcCT5W85zaZ7lWgDoWw3TBTGC9/bHSK3VpFOngMGPsycESDhF8RmGAd/DPJQpY6nY+oQYny6o42KxKfdjGD9wEp9LKJCJp20v7cymbHlIIOH31nvYFxJ4m2Q9aW9+1sVM0ajQVmgDbuLACHAAel01foNiSqXdssFqgGJRz3A3OoSC5PBLIpZgzY5ca9Taot8Xzhv+/zwPmcANev5ssdGCfqp9ne5ILcXqCKzENQFDUu+tvm8hrXiHfedfhVmQe0Iw9Q0NaNK7e5VzU/AI5Ycl7bqX5ups+Oms27KxRQYRRV+iv+F15kg8+ztENrXF1D7dlZjZV0coRKwIP3Ds3RGpvA5HgSDHsU9gut5NhoF+4u2LZj7Qyqg2lBWmxa6iaEV90QZHewPyM2ZPvmjtlMbsMK8pt7dxZtUVgUzZAmG3BYyWEcgjJhvAx4go1mZmrSZPAOW6pOhCVTxavvMGd1KAVdFVeeY4DuUM+//qJJr96mMxKedddaeui6cm2GxvMr9aofunD3/vjipdOm3VuFhbRio75HHtbAOM++wyZXqq6TXGYTDGctY6bGerSiW8dpx/bID917wQTPbxRnJJteBSbdD28pFxojH/I2hXjLS9tEi86zfNYPjziy6yi4VN0jutH29lwMXO47C5pfHMWGy9N96/uvmlma9CahKxRIJN288on59IOPCTFBIln/d5pLeMyIRdGabG0dTQzCyzDynS0VqRzUPOHn1j1Wpa5GFyFbyEMJowQ4MzFmpklMqY3ZCtjaDmF7WGXssFf8aqelogRxjvGiCoTh+r4fbFNsmO55KabLFBon4+iaCL+tsxlUOVddlWF4nxV+XqfEO5MLgqduAwfAGdYIeXk4N1tfyqr3JIwVybJ6h6Jp5aEUEWETYmwAM/NjNGRYMh/9Yk1sSLNGh6EiHVwqMrJBNifX8ZFn7YfLS08ARI9g/e3sCQ3Jj1knZE9NO0JQnmOhIKLMJnXlvctmcJ3uMySY2+DQu5ejqvONlvm8dMcsD1FVpxL/A57WyAwt316Ytx5ADvhnicKYrlPYU62x4dTZTAJUETXJFXQfwsgrUP3sobHRYDkwMgMgHI/PbJLQIhrz2kXJGFaARNJAYFPovEhmYRisfhPPP7/MonPHZJOIwFLYHuFILd1cJXG4YhtGO+9loPnoIN78OtFIQ5Q1jrKEoQjrQ1zzzsKa3RQO6884icMxf/EM1bqTQAHkQERn/gYe509Pmt//wdvm/ZsfmLubGPButu0DmoB3z/UG0eourk1kpgf1xJ1eXZTtzg3JgIlz/uJ5K7jYZh5iVtwJ504QrT/W8Qy5l/6+5NfGgFsyvJ3nyhVhg/WlpXOMOec+Okfn+KhV+CrSUCeQKIu0iAd1Z+GG+YAEZ+aWI6ikY325QNeZzx3Dxu+SpyRriUcor0225mDkpp+7iyq5oMFRijMohmiQfEqXs0Aw6GxD+1OWW1hqExqWrdhl91cIV8MbFT7b7qALQlK1ezAUvosCqK7t6ojTAP9W2ymJ4bc4zzZc8DWSZiXoYQHh93iwpS0uVNcvR829D9tY+5ABFpOlZxTaILrbFbyU7a2KZSKMTvWbBQo7tpbdsNIdcR/NBMbG+6EqVqmkRP5VLL9DqL9eFelhTpKw4WXhw4ccqrTUVyWrzxWesf9FvX1x89xz05ZSVyJB/KcUveSAJg4e2+Dbj+yUTRbRTzK0LXaZrLTgNAZKjSMshqVCDWeC8TsfCc9VsGeSkoTwSkTv6xyk6fKwjuhdF1jpUgHsNjCCLiB67/6qxedLfKtE1NA4pFmFoq1TL54zb//gXVujIFfmliRdj7OSjrHojv3SLijn2O898IZB8jw//P530JDvN+E7e/RU72Uh1AjhjT30Y+4TwnrQq+XaSzRJp+tWQNSkFrdcTpY6G0mHvbuYR9pCkt5VfgAD3gct8TTJ8RAV23GalIhu223mbHUyua8ktN3nL5w2t3FGvhaH2HnWYAp5EHwCQnFUSMu9wT0eOOexHvgRJm0TT/dP/pefmjpJoGlKh3/73mdm9baSTvuHTZ3MvCMMhzoYInudhO2grjZgwYfSmLw32DoYWCEY5YAoXTzgJIUnWcKjJiwFn2Wp1GzWO4r4Tg6e8jaGsoyH14dyYJTB0I622x2FOSMZUQiD0ALxzhT9Q9/bAevOgh9vQQ1T0Uo/YVobOCMOja1UXKfZgmgzdowfujVGKRiZAW5YuJE26Ttg5+DqM8/1mziNIExwxzFearaL9x4EI5dxULu0BhCEGBLHPrxoxd0ILYMHr7MKHhlRSTd4mgx407aq64JgROvFpuagtWW34LIDo+j2QlK4e8DxyIarqkAlikhSFh4m0nK6oQPPAHG16BjRHdX5mGDa1Atot2gd5n0wXI5JnTr2WHEBn72PSuZhcrTMkXOvXjRvf++7ZgpmjJT8NtBD2SQaOwYUeexLeuQbPKMtKR2+8EmO55od8gHKKXzvu68DfaIJgyM0SM6ne5Oy0CTzIMz8qR9Da+a+j5IXLwONEWYyug0pZHT5vRQrU0m7yfulOyToTHmVRcIdV0/GP4BsAh2KWitAmhjvd3/3e2YkyToqbHA61rVg2C5bo/mlwq4O9/QGNN0//rNfA5+eZFE98qk80RdYDrjslDBPW0jpSBLc790++GOdJKa7wh65ULvOk2EB/pt/9Wvz7munUPWjeOQRuZCWOK9UwPkQSrLVWY94vRJLLQzpIgnNMgJN4vdKcCoiBgy4bh9MFelTC8sV/SZIUUiHh2YTKgyCqE37dmkNC+9X125VVVY4h9gtVTYS8cLvLS+aWTRBRoFsfHgO+WKSkuoSRjxj5536a7bEKT7c4bWwyupNik7STByeQTnTMTc/IlmLZx5KBc25l88iBDVpsvTenD8zZa/jJ//i5zZx9ziHuM8qUx6YHYZdkzR3rt8xCRI9MYp7lthMvA1MtRODw9oV4eojDbC5WjA//dcfmh/8vlNV6lTdKWrV5oJBdhORR43nOgU2JjYL9LswAtpMei3LhoLH+wyPdRK6CDGPL2v/8BHUvZQFsxxyjM6QYyE8H4JVI/77FnUKFVESwdSPAic+zrN76Ht5VL4e6IhwAVrahB/hWGnOPgp2GscY/uB33gHiI7+DoxMn0rQin45ptUZRFcTxJAnvxzHg3o1pnTdZMB4nHGiRpgKOZoy45DCO6gxyFHg0JOni1U33nRSksT6kqXLm0nfMu2++BpF/DdSrDloHe4wI+r6DEDtPEVfv4BziZwmzuf3sG3AxaSSpoVpvrQG3Q6Z7a0dJTLgYuF2wnEgnOWJO2n5IDTf2Fx/ctXzvhx5MkrFpWACiupG4zCrh9iiDT4Jr89qWTQi1Xxk3F+bPOJzqEZEtKHkm65xkwYnCpIKaDhNvbHDWrDD5CjAc0lREejUIujZdoYomVDCToVJyCbpgkwFUR5Z0eoNilqSZpQ/hJCJNZQDuEsUpHShnw3MUyQCJCDbyo6/i62Xyb2N0uzWg5d1DH9tZZmJp3MXH1x5VgPo4GDQX3zhr3n37+1DvkB/FrUtJ3yNHqTW86d/+7NN9Q6eNQvhyt6TBoWPr1cf0QtokLBaNTsyO0TFx1pvQIbPW0/bOo+SkxOWSbCbZtBNOZJjkaWiYCcr3JyhpX7+H4VLDY2CulvRfJA+D3dN57Bg+LLJmgHcWd9CsCZgLL88hEwD7BU/WVsMebS4+NVv4oBMHqBrsJeLS81JyOQcNcXllySyhDKh55+vq5PTlXxzPK0kimnnWdJOtD7wGjKAf9otYWQ9zwibQihmDdprbWqBpxC2SvNts9OSDeEYWqmNaCD4cIWGYR6lSKoYnOvTMhQeqwYvdHbzojt+hSkpbIv6lX6kadgOxtJHO8KlphZwREvttqrodHWEKrSigCzbp/wl/PljNIDuwTYJ50fHAvXllr12EgXWaoZwyp6bHMeBEvc/4IdfT3oKlEDo3syclewQohNe7iKyzE1g0hhOpAMM9mw2FVImYGIEnixuXX123Iv/eUT8C7/ICzR3+8Ee/x86uvo11897VBeftJJvsxPHwSjEjBHvYpAhGhGKh+HDMvPrSa+blSy9DsyvjfVMEQ5VnHr2REKDrONKYdRl7HmwenLyIXkoJz3onT6Kw6yFreBoUeWgC5OFd37p+DRpfgeKgmjl9eso8d+YsnXrwCPjbzvam2UETZQRd8IGpeXMXz+DWtTt2eIPqWOJ6LffND6mI4jF1lO/jNf2z/eadd94yp+k2PjkwbmVqBds01MaNCzp3dtZc/egmMgKOW6+HmKBXY4VOPeJF7x6HoRsOdAY9kSbGeDNlJr069MTVxT1Fd3Tgk+72Zbr/nU0qP8H1VRFpo9lenwnjBY2h59FGs/p64qYpLKspr/PJ8sZ6Gf8cbI6mimIeceh9zQIsjFzHrBYWTGZxk2IjeeSOd7f7PHqYdmrm8JQYC4+6Tu/vUTbtsnIpbFo379wwi+LBL5EHIa/QilWpJnWv+agnfIKv82HAWjwrOQaPbIojPnn3fDnkOpSaeOH8PDz0HPmYW8yFFVqhNqxyZE3rj/mgtah+r4Pzg0hgVHFIbj3eHXk2yJtQmpANDLiaWiAhYav69JlqPi7VLyI3iyeKK48N6qWi9zwt/TpVGkZnoeCu3EbfBeVNnIuD0ZHshqpyfWjtSFHyqzq0zjzm7CPLlgQdQiHcS9ZJ3Erki6N7PLsQiu1szRtrGOcRvLHJ8wjdg492CLmTeHhzp09bF//6lVtmEaH+leu3TQEPS0cUTQop9aXwuiYm4eUSyty68oWtKpx/4Tnzd//3/1szOYXKHiV+E1QHDqBL0QvGNY5h04NaW1gwPagRJineUSVmsZJHEGobj2jbXEDw6NxZurWzibQU8oEb1V1Dr4fYAkOqSo4WDqqMeI1JUcBISsq1exykjKdimz/98a+gqUXhNuOlU/Qi+Kk+g14G/PUsG8o95Fx3oDn2jyTNG++8ikYIEqs0NliJU0EXIUGZplDBMzwePCBPTU9NXzK2GKy+U6PmzTdeMxfPXjJjaIzII5GX12bDUKPlKGN7AU2Pj2enzRefX7fjKO+pRGcYlWDvHiQ7dd5DPStBHtKXkfIhHliagpKiqI6oJVp98a64W2tIuka7v+MlQ8Pw4OHY1/Dct+HOF8XpdmedvHWGHEVEqmyJmiSeddTjzs1Fq/Inz93Hre87eGgW8jtiovKon3nc10nfPAHsNjUxabHH9/78A7OBsqFnLNXi1EsgH/fcT+L1iv72RXmPeVI1KXn5+fNsTtvI5FKrwdwYkUQEll2PQ1NX91tGvjaBLv33vveO+cVPMeLry4/5yV1vVwSnzUITC4MrRcYw868HnLzGLi9tHnvwj48JeP7icxSrIdZGX4ES0dE6GvFj0uGXRK/CQc/OyR/h4pUErBI9p4SXf8mHlr2Kc71L0q12B+mHXY42HSX1vWV6dLO9dzaXB+6cRIMg8H8eYfu/9p/8EY1uC2DFaGuAHSfBlcpki1966ax54YVzJvfO62b59l1LM5uim8jY+KTtn9jfL2ZFzdy+fp1mATfNmefOIMFJZxV5z5TLP3d2jiKXIZTcWDgYmgxFKKvzCOhjiNSYV0qEdbKfG8AcRWCMKB5CFkO+LQ4RiUxhdpJlLZJ17kA1KmB4FlZWqARFlAl5UglLrd3NIOBUp6ns3o3KaxYkd5XqSZv0YKOXV6J5cP39JXNdHinedZnCFiXXeinY6YWhkYVyVkOUp5/NRSXvEntzAMOuR+LB2CLhMHd65wbNpRdeQpr0lFPOL6lZNpgqinoS+xE8Ly7r2toW/GWvMsQ5X8trM8b3fpKSgR69f4/PvvupfL6fxszR0V54zwhBQXv0rqkK1fFRh94zqB6XDMT1zz8zV68sURDk3Egvici58whTAeUs3kPESpoT2kQeTk7Y/ciaHSQ3cu4eJztuRFfiKz76Eh91C4/3dzbQKHTYfmQSlNFWUlfej/R47HG0CPbxruFLfPcE1cd93O/WAjIDqCqGFF3hLPUIwqAK2DvEqe60yuad117AYK6Y956kAbc4JhNJ5dc4ND0kMCUrLD0dCXsVusStZk6fMm+98TJRAs4DDmEekkESmCVBtNTIqCzX2XC6DzWPabJWUjDNDi7RL2OoNes1rWW4jzK9LclCN/EYF9vNALXncbiI6uSBwUHcX5BFi0HcLG+DC6pghi41VM5N4pnNT71my+lFotcVC9NpVDYJy8J4n8+bixdPkQTMmmqWdlVU6yXU/JfMc7+8aUKlCl5ylWRFHVxMHW0CfLYMeA+FF6EgCTGEoaRDvcEDrFB8wU8YvrpZWV9BujZNlaIyZmTMgXFibB5VQrPbqP6VF9EE0SZM+L67EO3kwXgwYA2VWWuw3bXqNUcuu7/X34KcoCZdEzyDadgJVuoOC1aoKDHoTgdvkes87rkifRFz/sIFc3ZmntwiSoAqNlKekUm7CCe+Ck1xGMnWHa7/x//+fdqOPRirk9B/bCDChoh0wCGHxrsJlW49c8/UwSyPc0zNjiLoNGo++eAaJeVsri4qpmudO9NPwdMQ+yXQFBzzzM4RMPmDHy6XpKsKc/fPFkr5aq2j5ngKLHgYiuomWjbiwrfZOFVD8E09TiF+5lNBXXrd0vWD8mYwmP2sr+5Epr7PF+h6VGTNIY3wxA952Rmclt6WifYTnrGuS7CDmuLmd4XMp2ZnzbnpETRtVmxOKsjaS7EB+TISv2P+OJLlu7ZP8zbA+lbUL0ZVjA2q/AhY6Unem0yCJXwd41BnLXvYneiYb3Y/x4FQxEcU91InYaBEyVGoLzw1RBEHtY5W7tWRf1QzWzA34nGJUAXR2mhIAc8mUDCOEvtnl03aailJVpKoQAmpw6YQgOwcBQeWJKmaP2xzzm088HZIYZUTWufRIhaWLV0KCeEHFctjSNfRH0nGk0h/oiinHoBqxUZEEKJcf2JyCoMzzrXhNfcOmd9kfkOCZH+m2nrd0j6xsSL/lxqgV4LqrVsVpMgJ5eciE6oIQwVVF5vYUccZNWXw4aXbxrzdhzf+nDsFd/38mVPAJn1Woa9PlCnGrMj1bKGJ8sH7H9kETRUFuo0N4JiHbNW2og8MVGHWfUwNefHiQWePMWO6XtokKlihefLt24hOddstEsRFFkEGzZkKTIwKzBsPVjnWJ3EeJwl4sol5rM865ov13Ad5PpLA/fyTK4hwkSxX2e1XdZx8/R75ipMkA2tgxA3mYZ/EqJh4NSlksia6Uyy2WQhV0xUMuJg5VigOKu8TO2yLODEvVA0LTIpeTAeJirZ44O5EVJ+AKXSN2jTyqOS3ULBUJyigFGivO6usS1JGPnqdeA64RSF4b53alApfw8MTtpGM1Ux6lg/sidVpV1R6wut0IBRr0ywwaRPBNZKAhRxto2B0qOxcO0QiDOMDL0USnKKJieYnsSl1RJeEpO0aKYU70fr4WxZPs44BllBUpU6xDEahgpCEPPAwxRt+dlMlDAuINTWFi7Lg1QBW55aWQVUVltLYhhuqprNNHvz6Mrxs6Ebq+i01wBj/qgRbUrVtvKjBvkHz3TfG2VA6tGf7LVi1007NO2zeT/gaCkuxKVTTUNNT5n4Q/YxhhJuWVJK9hUXEG82ks/CZNTPIC9BZxIcY/dbyipMsOrjgRPVWyzkaBfeCq8IyxxsQRx0qJF7PXbSpt9C3vkOBwTpl6lWKfY5yqIO9IqCecYpiulpf7b73KHHaAz5oK6PCJcTHZLy9MWKjapPzgIRJ66+kuXl9db8OSRfm+MjrZ9NVw/Rj5GMeecon9QJBhRuIVuXR7chs5L56440QltP84End4f7zqNl0PzUODbxdSUhIhkLVwn6gzhEcN/k03jTQlM/aVodp8yZaODfvoLh559qTvTD5idQNFBASs4V91gDtLdRTp86a+fFB8HoIEzXgnjYy0QyRWn8SQJgK6+2g0yqYUuu5QW1IYowIXn1Jn/ljVzzErhNHiPB4ptzxwJXIYEduqhWaHibwhuRNfeBJAdpPCT5Qk4aweixKhFwdWSTeDhSihFwIHM3qdrOzdnhtU2p54Gw79ECU1y74QGp+BYpj6pyzB7gjDlaeJ+kgDWxdvfSQ1FW9Da7RxOgL4/ZhuH14AHkMmVgZGSm/odvRpsiihy4uZ8+dwcOlogwvPbuds1xslVWL8helO3oVpcB9hxaILRblXgkhgyl1nY+Zd37wO+YUSmcff/KZuXL5czLxVSh/KVgoNCXgLetwxFfho9dV1Si48MAY69pPPz+DIBK9DvEk8vQDrbLBBMH3NqjuzOULNNFdMJc/u41+xPFWqWWMPOmDyKoDPNPmPv2Mk3DJtkSI3CquDOPdasPGQGBr370euBQZwiiYvp6Zkpb7ogm9VlbhKVz+4w6HKGdFmCZFBLm+8uuzkBJfWgePynqd8MbFfhqAiCD99yDrts0aDAVxfHB+hoA/+3Bptzi3PHEZRkGLSxtL5gdzr5gfff9t8xOaOSzTTOWJHszrTjfm4BoutTF889UX6dSFHUE3JwFnvJmHPICzl0WPR7ks5Nb3H9YDV6AgjXIfTDNax+E8PuuHlrb1wQ6LsI948W4SU4aTnZnBk5raNt6isr7JHnoM8rAjkoIlOajScHxKp+qJD4ip/RnhjZKcCl1Ex7KNfDFiFMdaz1oAsNpr7WC8c+hRCBYJsUv2YvjLfBVhvfTj3ceATOoY6DyVkVLnq+GBl9A9CEd7bNPfAnxlP5OuDX7WQbu6gCHP0YKtQ3ImTlm4kperS4vm8udXKNBRuX3FUvV2D9drtok4IKAh2qeNzozQSSQJb3SGzHvMvP7SK+CiA+bK1U95EddG26xBsuA+PIDlK3jfD4IE8TTV8HcMTrEkSiWYlKBqVN1bbty8TpHQhllDZKeGQJMFIL1sxxEe0sFEzRHe4rzkQWE5dC0/AmRtBKOkF+PX85NmCAlTKybPNcqwVQitJV71sCOaoLfkbMpCakWoj4t32QS+TsezsrnIC32KR5j1pOmg/FGEBuMtiAcN4Ezp3wdZswAlZqPr8zUsK9RG+Op58waEhYU7t05mwI8TsbmffwGn7Pxp+o7WkfQl6kxgY8o4W+trObT36ZM6wAY0zlxV31B3mnfPd9mpq9dvomn0FPD7J/yMdhOYcpxOOBcdD9w+XtGJHFW8Arzku3fUPRx7o27zcRorRJM2yVivCbfB2FqRGXBtvLc6BryJ0ZaGs9TqFL5IWS+OhKx0Jip+5EzRlK4DQBdJNFbhcQZJXFQkPoXHHkB3xC9NXDyQirqzs2m0pQaI4c8imEQJjW3h1RT/XDF/Rtstk6x5z4yRyFSj21KxYm5cv4KetTMVo/1UQB4sxNA60aQ41Weef+NFhG9orBuMk3Tllzx40ZNGwNo+ZjNK0ypuaSBhei+cMb0wYBR20pPGeYRKpEsvRSXknFN2bvneihmflrEnyUqn8jn441WuP42O9vVPF5lw2Eg8/t4xKhTvokTYxTZ5wvNi/+kYxyAaEcEUz5HF21DIDD1HCWlpkbcx3lI2jMxMmSqwUQucFHVcqmDZZSj6CXVo4sAza5JvOHjEOe8kDCNRtxLqbcpzXUPB77hh4FO9/6/DyU+4eI96axNUYPZD8c3iSEiJkYVk52kP0S10AjMg+9Ht7HDiDG3sCjurZoj2dyPopkjsTrUZRz50PkUVNm12tBsMA+t8793vYGtgBcFA60MoTxm4PM7b9gZsMJ0GindTDUoO8VDU3Ulo8trGNhH2Ma71yDf1hF/ogA+Pdexi4GJ7iEYVQmNE/SH/xf/8S3N34Y75zlvP45HvmFO0Mjp/7hL0XRa1n4EC45WR1YNVFWABL6KKqJHE9dVdPYxxD0MTbOHyYq7x4iMYQfSSZaiBVdATlJY5ugY8IISk6jZRqGYLo/SVBPuilFciVU28WfWxxEY7DVEVdqlKS/0s12vm4z/91NxE6zrKV0FizUJNZGfV1LG73583TNxxhIavapmWBK+OkkCRdnMCNo36FF69fNlkoCHm6GP4cfuqWbhOAQHJwqqrSd0/Tln/PNlxjNbqnW28VYd6t3WvYj5s32BjozCEixWzYXZ2jmiEnAGfQe7clk1ZSOTLmFt8jNgW/ZTYD0xSKs9Y5JXxp2BHXYAUGSXQx1bko2pJtXdrUPreUtiiRBOrxT+YMCNEJ8Ut9GfQb1eeI0+Fq1caXYMOOEkT4ApNrjc218zZMwO0kqMzkXohciiSEv9+l5r3WFP12zefdAQGaM4RAe6sKrcFaYD2F8xTnjlR5wBR7CSQYxjoUUQrSx4SVRcHbQPAORLvN88hEKW2cUuLR4BR9GZ18fCaMx/NdpP7ipjf/eHvQgCYhbW2or7HluoYxg7kNoBjyUcmIa2khvwmLRZhd4WvO9cjeJxq8AGQctKh+nLfd8SxedhFOTRCq30hDFOpTFVHssjxpm7fyprp03jPYQYGo+3DeAdJctlGZXxv61koAIqw86n80EIwPDw1fVU3+TAPs0iZe1kdyknmRXnvOIJHO7BPWiQv5dWqAEul71l40tqM5NmqQUMTD7CqgheSqOqAXkWR0CcWjKpzu3DhMk9TX1ZgXB63np1l0R9y2xbgl8Z3gYq0uhlJJMhcA+3wVS065YIVIJ4s7BAZ2fTdiv3qPmZOD5i+wZj57L0NKJB7lphm9Gb9DtfA3J28NGiGoR6q2auSsimSKnlU/ZpsQJnc9pNJVh3h4csb6e2nihahrSU0PkoUPEUpjZTyQphyfknwSh+mTEFWHUXCtm2s62IvqpNQM1w20AiFEXQNsxGHL0PBlys6VOL1t64tmZcujpm55y9Ak1yhSw7VpjQsVkwo9oySYp6sype7Or79NG8EVtfXcUgyttcsVpylyPxWENuHg0WhWj9dqhKwQfL82cobi0qoTlLUbZxuIHoFjPj882eBUVTC/pCJJ7yvV4vQTcgexsoUzUUfIsqZFOX0mTgRP/rhD81f+d13TKgB7Zi2dv3UIkTp6NUiUs/TCUzOfxLnwk+DFDWo2gefaLZxSuWc2nwRw38tHr7XpEVDehQRwcNuyq3E1ENzeCgyz15GOE3/vwX0k//u3/1rFAEkrfSpusPU8birSloBn4TVOgwoQtzLEhSlGtiacqsxNQG2/DPKdaV4R6PfUBAvHeigUQvaXocRvN4AD6WKYS8Dm2yR8Kuh3Rwd6qGMNmX55GK2VMG0RaezFZC9ev4BM31u0vTw4CN8boEKy1Uw5hL0PsgivM415N13bBNFzu+lB718b8EkA23bDT2Jgbt5c8HcubuGRsSOG08emKiamwMh6Io0O2YR5KHZSW1RLEerpeEhDHwfYxJNTk6j1dNDIcwKFY5MKVvufHysS+wT9aO8b90cwcnQRtwiUZmjqlWc3t5RGkmzqQ5Q9dogxNxaI6Qm+uhQgWnFwLtvGavboiPRZmXB9J+ZBE5TozwitLEBk12iAtfq53TMex/fZkAr5q1X5mF1IPnLBuxVMNaB1WTrxUQ7YhT9tVh4X7eLXEIK4ubt22Y0TMs+NmitETXr1jwO0wNV1Y6DbOA7wGTSCtIWLlbfjhoZq78r0g+zMxPkoyAtdMloHDoOsq5680GZBFqeRWB7qZ9mB+y9wcYgsSp6aJk3Lr1kfvett+i+BPlBrjYkiogPlhkTKYf66A4t+HRNlSxMNHW4AkbhzwdgY+h4RP8lMrBptSj8GhyWPCjjbQncR/DIDrknxwPXipM3Zv8nC+icrG8sap5/eRbKHklFim0qhMZ5Opz4sSoqgW3DD62SwQ7VgUfAynvU4bsqLRUMuPAoBjPkxyulQiqMjKSYLdl2AcPcMQNgp+MTU7aAZxX8NAae6oeVko/SmQcjE1cbNR6IPOIkdMEyIVk1AM0QMamh3j7z7jsvmwRJuABVZCF26uvoq/zmtzfRtHZ3XxnWgwaczcKXILtNP83PPrhM+7FtWsLNmlE0MSpgftc+uStbdOih7PfLb0xbxb+f/2SJDcuhPtbVDYjztjw3EwdkmwTwCmW/l5573lIvldjtKnY71tQKkYew2iueNyOPhY0zMdoDDYtN5GAXhq6zK1JZu542PWMUXp0a45nRsJiIqAU1MQ8FtM4i6qioYr+8snMGTQF+32KsyiS1+0j69sBmCAJVZbs+Q5Hsp9c3qYZFh4YcCFX33xrrYz3hp/9iFbpt7+RYbz2W4ivJDD23PNBgvbNthpBiGINJdsdSDxwDLiRklXlcot4jiLLl6MiQOXPurLn86ecPvmDZDeob9h3aEGh7GBwboSgNVpcialUYYwtarO3n506Z/9V33jVJILwWvG+x1lS9HBBXHAOfXloDYq1a34sfnYvDidtHI3QhFDWnVnGgWGtfi8Oz2V04uH51HFPuslCcqF4GySKWxCv9UxHz1//X75pXX72Atw0tB+OdAweVlxuDGdKH0RXG2iQEl0AVxG4WLp42lkbdxaUyLalWefaA2Iw7GgsxdAw0GejzGIULpNKhNsZ8Cq9OHp4YyNrl1SJEyoES1tH7VBobwW0ohSmPpzpznOa0ftrXBBCzEhUuQVHG1Ogg3vRdUwxSdi5RKdqQ7dvX7K1paNRmDKhkoWpWGpsm0iqaT8H/1Gn+QcbbdtphX7h1eQs2SRpvP2/L8nVvoRQJXY2eE2wQ55F8xXBm0FO5B2zRPzhKZekyrJmTZcVVeXzwiXa47w4JYY3/o44WnlZhFbgqukN7Nql7Knoo8zxZrGo6LU9em50Tft1/8PkNEsR5iii2WZwN2p4dtNAVNtcKFXLfHs/mCIgiXCfiCsd6oLr2MT9rOEx0cmW33cE4dpo0yIZOqBoQ75AB38STbRPO+omkBWv/9b/+RzY/dvPa5YcY8QN/Eh5DrqnNui4RnUdaIRMTTAfMOgGV+Pfe+q4ZQxepsITmCrCm6kassB5rtIyExurCltW3srpirlNxaOMTFkqcjagI1tcUNPM1OKyxZij2wUGPXtL77swtpYdG6HrdTehjwk1/9EevmxdfPAP8Aa8ScahiaccW1VDgjjdeoQGCgxm01XAXUxkhcakyxxg77AC6IWKfFDCMRfjgLTSB5WE3eV8aQ6C2Zv1gsav0aqzitdED1pbAJnhNox1BUIcHyfUkKT5IDKZoo4QBolN7q0GnelgSYTxHdRUfRZWwXsWIY01vXl8zq/fq6AFHTWzUZ0pg6veF7XquSLx6ZJIdDNstzk0kyXXsjYuVJxAUIF+F/cQ6v3jma0tEEzqU7GHk5BXD8XBCRk4bomVcDzovQRK4q/TXDNDEIkr+IHCcogIXgn7Q/NO1VRC8qmj8vVLcR0zWNuye7Zs0fRY9kyRr4a6rv9LHG0VrfFihneDMHVgoBYe2dWg7oq/BYnnsS3Q3Nx8FaHJPO+owI0tiKaHH8Zke+0qOfQJdXoNIMRyhmIevFvzvANeeIMNcqubYzGFgqUBPMhOqytYU5z9F9aAFJyStAdxSgshw2vzv/v7fN//0v/1voRbePNp1iOOMjVBzjzYesijAHZzBHpzFd1/7vjk3NW2KODodkqaU8GErVARHz1XW7/bKmlmhp6wOjyaPgKYk7fetba1zkSdKwDefX0FWQmqHX4PDqq5a7t8+E36sK9/VQgkwCvoSEi6KWy6Tp8P8MnMUY4khrWNg/fKMMUZqgyW+ttoY1ZVoBD5RpWUJAanx0TGb6KyreSyGtonQSJRssoz32toy/PI8eu7wyjGcZTy7O7cWTRksOkrJuQ+wV300KzwAFe5UgWh68NiTeOcpEi0TI6dR3EMbAY5nkqx1m+SolPvS4LgbiPBD9jBFjJsEzwKSFz5A+JcXbaEI10jqwSOJfGjnFYk3hRDUHxqLUJWpVm1du7qog1LCxFCXwYnt+OPFhuB+D5EqjyV1f4pWyPoTpqrC9IkegmsOSxA97EN4Sxq9b8uCccdAbeACffCCN9Q+7AFeixaLXq+vI+DuT/Q+n6GT2UQTkWAUWWBtgh2YWfbBy1gc1unnGbp2XcoKmjYNeb4Ux+Hc2s5NanodAYa0FdZEVz38PtOlX6N73sztmDMTs2ZH8Gl60zx3+oL563/1j8w//e/+Gyvu9shDjRs0byTcpE1CVGScuslTc+ZV1AYr1FpUsSV+jG8AKx0DK1fVc8ivHrVo9eMzaRlrdloNFxnzA/ulhXyAgK7cXjUffHL7a0Rj9XYiBwE/CQ7uGnC1t3f6QUgVsMLD/Lf//GPz57+8ambOI9B/jn50/gRyscOmh24vUcKhcAixI4ptquKV8unq4KFEpnDsBgqGTVZ9pa7inqptEJxTo2AoTA2MrtpqqVpSmPrCMuJXg2Ql8PSTfUM0BCiYLTTHpT+yvF0xi6yPseG4mZkcNKfHR80L5y7wGoS1iAZy1NYurG6Zy8iALq/Su1F2htkJqmObfogz6sECGiAp8KUoAhD1r1V2Z4HGsNt2CS6RjVO2m/dU2Q1EdbQ/MIOS/UAmdIyvSSEQA9hB+9oeWsckQKsopr3w4ptAQVEEq3bMNaRiG929G22SaK/R730L4CjO3DHDLO8z6qWuG1Vki25yCN3UnVV46UfJ3H89ItNH2pSTvMB6pSTNa8zdMGJrgvmqllL59RiUIusC3xZoMWaiRMgNsOYGRIIYlbRRZJKzObxw5bG1brrmoJRFfXjFfjatCsY8h07+26+/ZqPef/rf/1NLXHjoIQVRHLwQRAdVfIcZrwSJzN97+x08+zAO2Trri81ElGQ5keA4NWxJsAdHMUWNRgytJHwkjbIuTSqiOOcWB/ccMUWlyrvdXaFYTo1IviaH04PYyUc41ZjOv8dZ3m4hj4T6vM7SsH0lsoIRzCxVbeerfOWOmSCD/GJqEhGgYaezDa9pEhqV4Y23eJg1MIVQQAyUJrQ8NDYIg9oduKVMmzIjXteE4UuJhis3wbuwmjEErCiutFzULfD1AuyQvIz9RonWZnHTize+AyxyFzaMemgGgWJmxyZomcRk0IYDt7zEOZfBmysi7uvOwaDhG/E5GFi3SYXGRUY6wudJ3yS3JqvtToCDD9vZCu3RlwqQuPOZ3qGIGXkOLHswQLHOsLl9l046v7hDEUzXTNcppdbIBBrEiPtJ2ra57x52kg4ayzoi6i4ibivJwCzc6t1+nV/BhIuSSxii6rQg+qBEs749HjkC0tvwk7zuJ6FXopNTFW0bP/iuOP8tkoRftcb5w24gwJyLJpF6ppzYV6cTEfhzkXXrJ5lom7hgpL3OS/Y8rhVpE2E3y0WRi22uqy5JDDz5P/zRD21F9v8LIy5m2gMPrXn+HuEzpJ/URD75ze98x7xx8XkakAAzcg22eQs4uzxwdRby4U1XMfxD40lzdj5MLQaOolNG4Tnzzsd5y49rFVFAhIqv02FptlxwtwvgmZ+jGvFdHrgDfDERLai+Z5gQBjTJlyfMhRdeoynDHEwTaECEOwXYIzKKalasXVtaKOJ2bm1vmMUVdK8plukBo66ggZ2njD4Fc0TJvTqGGIFVxJ3w2OXB8rE7pVUKQDD9nBDyCRCNqjhpNnth0mQG8ubWFxk2DD+KhBmKirZpPjtszpw5b9p8pvC8PlootVJsHsDCMbyLILt5iwaonSohnjcS7i4dIZJI9qGuiISqd5vIvDjda7qM98R8xLz04qjtHzhOuf7M1LitOL25uGFW725jvHn9IVDb8s0N8/FvP6JJ7hsmQFa0Qjm98HIlPJP9CSAkQSrC54/iaj+96aip0yD0L21TOfmUNDie3tV/NWe2qnF44Hlad1U2obupFB1vMj44ZOKnqXlY3TB5WBPP4rGJiufS2qaZH+3DGUoDWRBhcj+KoNsq6uma+97161fCopVcDHbINWFkZcCDsATyKAn+lb/8h2ZhacH88Z/8+wffMhaqjTZJgARjiXqPYZKof+ntd02YCFwNyNWsXDhwQ4qHQCdqKK6mLhLeKiNOVYRlJaUB5dlrrGF8qu4GNnbNCq+vgtfnRWT/Gh0y4N2G2nsEhzyKB97VLgYua6w6mSblWGKhmCQdW+gqMzU/al5//SVaG10wveDRwU4ZfegdOrSguU04po7xETrZhKSrAZad3lnjod4i4x0yZy+cg4JIZWcrgTwpyUxCuE340+tbVckAO+x1bT90vLF3Am7d4AEBJVOJSWcgJCUHwcYXbvN5xZpRK82BIfTI8bgjm5ssnpTJk0zqISqIjPTY8CkqNwJPqQS7pCED7h6KdKOc+J23X6dysG5++ZMP8DrA3FAMrBHCVXLoQzCH1LJPxxDJ0CFCuFFCvyEM7xZFDFcxzh98voVAlWO5/XjXAWh1PhZAHa63DkFDX/wG9Tbh/5x39c6mmZjpNWdPjSNmtQHufzw8/Gl1Rq8Q6SxfWyMU/npN+q9yfYodUceDVN4Hi2Hnr+bUxBRJ+d6UWaYoII8Rd2SXn61jB+P5b3/yc/Of/tF3zTB9X7OFe5bFVJWmiGVUaT3ydWA6SM9eOasSnp2ctDDft8ExijgmUWjDf+dv/yfm+u1b5g4880MPFYSpajqzY2rI9v7g//CHZopq6+LmqvXKa6zfErLUVQr7enpQwSRSYFWaGsU8ilDDbJKqYpaPj0my5QpuQLv7cTaxjwF/En2Yv8yntteB+IDffVT3m4vdpRFa7EUaAwx2CM2MiUvnze//1d83p+bGEbyBZeLHWGMcleAsEXaHgU762U2V2FQ5fQ1v0w/kMTt9hgneMHeWb5qbC3cp8hmkk0afDZ9kRLdz0AspaBERX55vyyV2WEOODRRliM0eOAaKIg938Sb84k0MMr9Tm6t8voUBLWHMl8z4Gd4DHTGCXkeAxROgYqQjfRVlqgnDuhmpls3I+XIkUYXBXXp93kxNTfG6iHnvV5+ZdCCNPC0Jy1WqMikHz2ZJ5JK43ALz20ZbYRHaYXqHicQQBTHcUUrqE8ODZv7scyYZ6zU33/vELF27xfUT7tEX8oOf3d2dCzuAeM0p+ksgurW5Sah9xAOVXD7rPtbeoxseH/H8bSsu8dUf0lSRomWJQpJnVsNCi8omLPEi8BCZRGzeyBGgM6JmI1nyMk14zWJfSSriWTxurWfMVRJ9PedH7a2IuRFi/VZwoGT82jhQB414kNf4gDUk+6roQzZCyXs1eclm0maUBsh/+2/9DfNf/OP/ymoXHXZIgrmM8T59/pz5/d/9AaXyaO7wWtvUBbnYfAljzS4SBRZtY0tCGIZ1pGavfY6cMYqYDcZefkaGL61ppaS69xqvcOxZHPOHXZMIBYp8rKgVO6fDCnbh3SPejFuJaQlzOBTQBPEaJyfHzR/88EdmLDVhIgy+6EX1IuXv0kvhAfYicBMAF5BKoXppqvgqGqA9F154NNhjgmdIjmFYb69eB2pR4U4Ypb5hS9Cv0Vl6ecIHrs6FSu+ABrySaC1uol6I1q/gGP+I0zHl04/umrufqv2Tz0yd6jG/8zsvQEPMmmt3V02S81XpX9aStgoRg4TqbZu0QJS9gN8dcF0ti4DJurq2TSK2ggb4oMXlJQNw4bVXSbLuIMZUMS+8HqOyM28++eiqub4CuwWFvezafmwtMZUyYxfnSNyCdyOmdRadmLOn5s2Vj75Ake+e9cKtLC582x1avlXRV/7Fz28c8ZHsvUwG3FYwdEPtipIe4sSHR+g0g0eosv3NW/fwrp5NY+LdpbzAMYqS1DDj9t3DDcCxB+5pvEGLSwmyMt9IOoJh9ZOolj5+Wr1YqRgMSAPmK4bGHnbrSiK2gmT/QoiZASXWG+iiiCTCOlT0efDSdctBcjnKbIVg4KhMsxNUb1fqO5R8Y34XMMbvfvctFACvmn/1L//14R8v9gne+9/8G38T6m8/uvpLNvgus/Hl1bELhpoqt/3SoxclGYcognie3xc3Czt5K28kJoriXnVjUwMwezwb/seJZ5suX/crB1iDLylcP1HHccheDoSi6nk8XnGvpcU9jHGbYWeVvreMj7LDHQj4EjMKqyweg6yy+io7cBAXMUKZvFqrhTGeinX6aGxwbl5IRhWPE0EcHP1+GgRIO7yBlzUsYimPow3kEkb3N5NmUng2kruik5u5DkwiT1gPKQZmPXOWnn6U10fxftfpGALR0GLx4p6r4Gf56m12dZ/pmT4NrAOtEa/iYCSizSYYG7CqZgvIU1ZUKuxfNeOUvYeYqNI6H6SzzwCY9wqd6ddhGfjiPjNwVpOda0UPJoC32EdT5j7EsPxcV7OFdja4ywAdQN5493Vz8eWLFvOXwLk2xPz2ltleW6V/6ApFCUgFlB+Q8CG5aV0LiUnpqYimiPRA9yzVc1YF8m7ZfvfUAasPDPeaFBHTzPwp4EQ6rrAhZe+yKz7Dh8LkDToDhdXP8Bn1XHeNhWw3ZechGnMrYpXgWhUmhwpl2jCi6qtwUp/hQ+SD/qFhqLGTJk+vy7zayOGK+1QH4GLJBy9fUtC21oPnI8y/gX2QuJzaBYZ9NCOGDhxr9Zj/6K/+R+byF1fNrVuHQynffecd8xbJyyJqozLm4oWXVblLzYeQ4Bi5LKmYxoj+exClGhoeMVMz1IqgjLq1TYLTXQnKjzVTz/AgH+fSZKDcUMLTQjkeB8WFUOxmJg8ViET/xsAq1LldeiWWJYWRFN6t2L1ONVWAhxmAdF1B19snxgp/UwIyyIvjkTjGDhW60IB5bvac8SkJwUPYpoGvkoBlylwTvL4UoeM1IjXFNeCRpT07Jc5xbUt7016GML8FQf+9NbQQKiRSB/AKoubGtWUTwogOQi1sU9qf7BvAoGP5uN4K/PI2G4W3Uev+HJysblYz0hinG4ktgwezlNYCZeWa3FG8wG1+jvH3EN5VCkMew7CnwOEp/rWwjDL2cgPiwC1DJK80uUtUjJVFKJckL7toC8hEHmWHyd5P1Wg0NGYm6DDyWeSyufoJN9vtOWi75bIDw45GhEJwqCumBZ/dh8rffZlSPY+DTjWeS5xS+YQqWsEQt8gPVBkD73zHDukPwUKPMy+P+9oShSRfh+JnrY0wPOVBisukV18n99OUxIM04NXJ6Rk/1MRkGYmHxgtngOaImPF0OxTpVWhU4tai7bsDi8wKMpQuM9F2Gxi0qnoPoruI8GmK9qjwwBDnzeT4lPnDP/zL5p/8k39im6V0H8NEy3/7b/8tywEvqxiQ99aokRBEGuKcoi5HwNYF58h4l6jrELMlQcW2dJQ8CqGMXU1ODNG/D7rysxztHGUqKIqRXtHjLLfdJKbHiiBV4Q4MrFFhXqIYCRrHONfA/1SFGYOjKd6mH9xZ9J8O4t+iD6pay68WbFaNDIPeCkA/HEUXZMn89tcfWPlY+Z93FqAiQcETFm6FNQ6EQirAUaMISdvWgCmUcMusVsx7a7RTS21B0UM4C6PeCe3YzvTjYNnjM5NWxrRkk6tg9XjKEij0DiVp1G5pE084Md6PJCz61yRPpNGSpSK0KRoKhlndg6S2F4EKmKJjeUuStsjiCv9TRagP76EvNWCGSLCGJaaFnngOMa1f/+rXnCuKCBdZfiZXHCOcQFKgQaY9okQv3r+YOSqNh0K+e4RHYiZCktRyc4lnBTmxYkwYQa+AjUBkxN1D46SYF6U29HvthqojBrVxYIZchbB5DHgeiuLmBvdElHHshJq3oTAObeGeX3GVoXjBopcNwZ7opxp3ayvNPERLXolvJo44/1aH5ks4rAFnXCSgFvIjz4rC5urtBYcm+mXpuz/mfX5+9Yb5/luvmYGJGSLdDcgBOzglNaszosJSL2rVv8JkN5BY3iASnTwDdRIuuYyuom91z4pQ1SkxOyV1lQd4+7tvm5/99Gfmi8tf7F5lhIK7/83f+TtmfmaG4kDWK8a9QiFPCb3vDgshRotFZVFF+bVaqDzvAufahM1WlhYKm7u8bxjAZmTEb4YnUmgi4RwVcZi6JWUfc1y+irf7xX0XPdMC2M4he3ucY4+FYrtCcEJVSlFFWQbHqODFMlY2qyiuaxNIpMFXDS9a/S3zqqrkAY0MN8xAagjPFc+6njULd2/TjotuNn0YJ0IiGa0stMM6mQg/O/k2glMae2A4jPEepgvyYcJsDudfmjBzc7NUdc4RWveae7fvmC+++Mys3ctALSKkQ2DJSsf2KmKgkowJFCO2Uv/Jco2ECKCeqrn2YSgaFz6/hayr2rVt4B2X8T6kV96mgtSmt3sAZuQK2ow8+h9M2FoMOQA2BR80pw5FSYPD/Zb+yBq2BnubxqnqZhRhs7l7dZGihTU8BNrMAQ0laQ4xhJC+LV5iQ9tYhH7YjaAwLmOnp5BrTdiF0tszyD1JypfuR0RAAEIGAZq9+5CdwuvzTaHvvcwEhmbl64/jvZOfFwTG5C+xuHJAOJImUPNY7wiySQgmElum9ZB0vSZVhOjC9ii1VKEnfxynL8DozACiYDM216DnlUypCEzIYYhEVxpVya5d+slf6r4zam0VobHWmRuDI2PAAHiTGO/O16AS07uRVfqgvv/ZF+Z7rz4P44v5wDjG+8klcU8HMUdnW2SzQlEtiv5RmQI9Ufz8/oo14mUYORH0VcLIaOTQkh8dGwNK+SOzcO+eldAIsaB///d+z7z28qs0hwCyBGZqk2NrIKZWt8JDdTYAMWBkZGgIAzlCQndJHJ0wDtyHFOhtQQ0ExSQK9pmR2UEzfeo5G2G2cxRRfd2PfV00HG/8uIfDQrHPScbbadBQQXs7vb3o4M/oeocCCZso9KEGKF2TGgZ+Cxz6HiyTHqRTKzwQeeYpRGmafL+2dYtu35fpZNMLr7sP4wSevAWZP0GoH0bE5qzgDOwltCHpn+T5Wx9MlQsXz1qvNoHxOnXmAonPWaZPxJyemzTzpwfNZbyHa9eX4IwDD1Cs0+G9LB90qJfNAEnMFhhqGbqUmCkh+Oa25LZ7TPheY9Qms73zOdiw/qZqTVty6Q6dq0bYxGAXybSX5IaQRLUytYxBBj2UeP+66cNDjoaJNmDo+NhEamB5HaKKyhZGT9ougrRTWTREaFihhgiia3lKh9418TpFMH19SRKw/Au9K8IkX9uiUQRJ1XAdPv3BZ6pqNbzswDzcd2AbH4UkaqghlZowN5dBgMhWx0pvWbkGKkqlFeDDgCfBFf2zlEdfIV/AprTfOjkTQYVGUmysSWL2iI6t4CfhwH4+56Ft2OylMAfoTFRgAnR4QPKwJbgVjmMo2JxqVi1RnY70YmoEkHRYROY3Db5csrRQP3tamQgnQbRC7uTLkr1w504daKpO7qSyKcoU1x9Tw26e7ZcUBRx3gR98veSZ/+Snv2ZVtc1pIMKOKikxhqLqqdrSS2TaR89/UrDIRkYmCQrBqFm7bRZCHHixhjGv8gzFupJ3rKxkkejxO995g6rOv28+/ugj04s9+MHvfN92fKqoW5dCT6JTn+YmTU9aFG6EcRQUzQtLF+c8i3RsL/REwZZNDJwKnaeZxqkBKjMHJ5CjHTS1jYwD+R4n2/e4A/cU3i975dTcOF64rTM4ZhJ81wO30CoPQouxiqeztHjNUrvUUCGVHLEJhkod4yDvHI52rrBOqSuNjjEma2lEqfh9i9V07+5dDDBsFErOP/lsBV7sioPZkvweSHRMH/SrviHgBEKnqPBlfh59i/6Ug5NmZHSSzYPuN+zuMXDdKp4kbXNJFgFdqO9mbQfWSgv4AhYM11UBJ8uLHVOEWkjH+khPkl0/AZQA9KEd/rANrdso6Xvs/a6h6nY43e/tAGOYvbfVi+QBMuhCrLJBMFZ9YNwl8OpyAS/ec3j1L1/NzYbZxhgfNISS0/T3Cz2EqcIkDIC5z9ILUPrMvRixHTFq+MCAhMAPyttyT9pIAkzyQGIM5gwLg3EvYrQ70pdRRaDwIuFV6mvXB95PgkhVsFnC1hAuT3CCKCIP1xa2jYSGojB+1FmjSiOLBgZUGGYb1blHHpov4Jf9E3T2YVELz1RzaW1Yqs497JABScE6iRJ+b63BgsCz6pB89qMeSfqE0n7EzLYbjiARY1CFn7/cXENn5+DZHqD7+8iLPuELLHyl/Af/IqXQ8vj8MiLe5PC+P+LGd8Ireey3FYAar91aMM+f/ZHVF9lhDtTIA7XcpubeB+g2pGmvRGaAeRZhrdek1c0mL6hO00wl9XWcjgiwnpQEiU3Nj373h+bU7DwGGiXRJNrzzE/J2MpYtyWhgWOkloxVsHPoa4hqkUMDwlShUIZmK0XJ2BKx51lX8ATM8AhVw0hP9wxPI3yXgGDA/GJqC008qpPx2IP2VE4gb/LxTuwacHYCjILd1exmymBC0C7xQGuNCGGSjA1NGKobUKYyND5A14TBPXVmihZG4M3gxHm8EoVGt6lULGJQR8dU5IJdmHS0hSN4y+O09krEJU4VMcN9PfDIe8wgich+4I8wD7GY23TagOFVCnMXDBDF+EhSdnX1HlAM2HRMDSXYrdU4GdxRXFI9+ATnGWIDUCenMkkWVZm5m9veCOnmYvxH1tGzL56XfpxFx2tViSn19C1CxYceh5xX1D6VryfGYdUAs9SY6NqkdhDpargk1wQYfCSMCuBBO8VrW4jet3LchyqelARhc20QzqfUBGMoyobCRltl45CqV9xRmlRpP6bZwl/SWY+OUBnL/iD53/lLFwlvS+Ze4SraLoIFnItWtOLHQ5beeaO74YM1ZNJWh3fPAm5ifIdmhi3ePjY7Zu5cuwO0tG1zI2Lj7B4af36V2cyz0arDE3AdrJwALlyMvqNy0GS4G116FvLWX37xOXDvlrly5RZh+0ME24+DzZxk3WhYNDbdz7R7AXrf6z6PM59Oci0neI+Tf2fD5Dql3+8jghyaPmXXWUWGmerojqA31/GRgRaMtraxgrfOpi8BOdukRdLQRL8iDAClWpSav8UIF4vAqiI8TEyMWxKEpCvE/lKi0m7qHa1XrR20WTDsOocSlrI/4pyr/qNAoeDm5jZSzL0wUYBTcA76xmbpJzttfvX+5+b6wqoJjZ5gAJ6xt3haKCdv5+AV8lgX3j0YyDAe4gTJghaDXVUzAh/d4tEZWNm8jeHGeErvOostpJx4CG0SfeX5fQZaYRKPdFsd6JnoUeiEDUIuaZ0ke4cw2EOwULKU4VL0A27di4cfAT7IZaDr8ZDVlFSNgFvsxr29sCoIo+qE15pIEa6pBayRZ4eWqlpTkQIzIRSKUlmWBBvtN720/iqBRxZpBdUhIth3aN0xWeLjEfDLHgxmxWTWgX7wri2n1ROlOviQH7QYD/xe+L0cb9sN6BGLV6XrPmRtx8D61cdPGL42vyhJYelNSHdCic9Dm0DYkjmeCfi3GmX0gDvqvkTBSyXxhOlzuLDzOWwBLkTXIk+WxFNHbc6AerR06uqqFMRTx3AOI+ep7kdbW1tcuxtCKCpIEV300G2JsS1z7nX0aNrWeHJzCJpBF7ALS2p2UqLc5BkqVE6wUVT9yP8Oht1GyBqMvQFR2FvDqxaTwR5SZZVHy70IX22ShNjtdyj0Cn7wNBz7GMZGbd2ufHqNZ+eWaMki9dI4m81eTQOw/IwL8Jp28Sd92M3HWp5HH3pE+xmgj37Pl/CKHpyn86dnreMk1dAI1N6RiRHgDUXWFOeV0sw5x4Db6c3tFlnLkoBQTqdYUcUkmy8Fc3Gchxr9VRvMGc3dKg5AyMpp+CmsJrLUm21lilNjonSMZVzgzYXV9BzcO8iiUbNyCx1oDbKeeyXVwTmjiQqU3HGi7TGiM5y4cK/56PJN8+PfvA/aKW2VL2HAvrSPOPmOv5fEdDOhGkoR6tVgQVg3LhqDTQjlF+uhSoLBYNzZuYcxAnDD1fuyF3GpKmFwIMjCxYDEe6hmVMsmWCYRFvTw+LSZICEZwkivsMDW11bMXTzBO1dXzfQk7dPAoYcQCFJxjRJ4YbwxtTtrY8hFVczQEqwuze/L67ArSDqy9lPzMfPcK6dIkqLFwgSoqPmDr8ycQbeB6+iEWEEH60IU8klvIYgnPwCbAA+wtoyHekBDQR5nhGRqDVVGi+nK/hxcuF1GWkna2fN9JB6D5t7NbfjxR3C/NMEx5EF1kuX7EFRITWq1aGuRa1DoWoRGKKLOvtyGrkcLQx2QYLyMDEFlpJQ/Rwi8irhSCAZLheIHi+nLjqm1lVqyyajJxdUTVxQizzgvlTlCWjaNLJi7H9mDmBJabJTImFuqZA+hcYtE3cDsKN4xPryeCRBXB8NtmTucVxHWjuR8idgUJhfTDltH/SKc0tWulSDj4GKXCVQoE/2CXqgGZF7k2CR2KzHdISxlq0gY3MBpAFZhvMK9wEFcRwCWT5xKWKlCtmHfCFeVap1PmDqyDWrB98SP/XvRg0//AKr/E7+eY55wYnzMvPD882aA6DeOoZTzEIZRNX/xZYwxa+buld291g4//1GOIgoRoYyRzxHZ1cG8g+QrOqwjy53Q/xHNl8Jom2hOHG9VU6p8XlNM1GQ9cOmRy5RLRyUap9gPx0sMFj8v0nli1JG0cTRskl9Fggki8+EJM08uzM/m/a/++CfmX/7xn9lWjmHlrb4RxxHsxCPu0y4tNSlWFb0qgfQQpLrWAENutTEEPIhevKCIWCqE501bThs1Y7QhqzZ4GKE6cIhY0nSDblBejpftB0stk2j0g4WPEHoNDkHbG+9D2Y9ECC3VWvUNc4dk4+IGXjvlx739xswHaPobRYYWD8Afq5gx5GP1ILMFRHhWlsyVLxbMxoKuzW7q8K7x4MGLUzRRyOLVaw/LgZ2JZ16n+40aKx/EwJXsFma3cSdnGjs27+IYugPjqB+bwDPWE5TTquMhTQ90TRLS6kf2dsWXdS3ng0deMFEHWKoK5h2BIy+lB8kXSEisghFsEPkoSdRAD2IfDKSbxJXp7EhfE6MvT1pcfZ6ROqZkt9dNWY0GBHeo/tijAHYbFBn1Cn8T4R4nPk3PTo1fM40mM2yY8MSwGcMj72UTb9ELsYdn3zcYNwUGb2FxmQVImAusVaWzTxjvqUa+RHNCz63NZlvLamPi9Mr6aqPo9pQ0sFKlG6HKjjzIyPQAGzgKl/3D5s6NO+azX3+yl0fQ+0QlhT64ZatscSJY8GUMjcEbjFHkEYatUIIC2s5gVIDh2mjceBoljgv5FFb50zjnU7jMw045ODRhxqAPJtTflI1e5TEVNro+sOXJsy+b0Me/xmEBepPNdU9QggabIVkeYC4o8g7CtpIf0GbDFHyiyE+IWrXJhtAhL2OTcerQqCptPQJ3DgAbtpiP2tj9EXIgvYPWAfCRzFQxX4jkJrG3ZRqVqpIriKJxNIUS6Iz59z/5D+Z/+Tc/tcb7m3RIC0X05A5jaZOYDJi+P87EdX0jFpVtgiaMLACGXEVRcJWTQQWSe6UQyDakA17h73G1OCOJ0UBtXSJQgfFx9ECoogrWoCj7YY8MmFwPyUgwriQwiNqgtTpQD1l85do20rFZC0OL7y37qSKvQBztkSpJSj4D9qJZWb1qxsfOmkJxzdy9dwUuKpln3RvRe4JSe9EPP3zvirlAB/hBvFDxSNdIZOr6xU0p8wGi+nmHHFdNXP117TZGYE+M0HmJ5pko8DI+eK3C2O3B+2IDquCkyw/c88P0QzRhF+9kUUoswll/tPvlpxjEP9RLIphqU5t5T3P/mrB48SR3VTBUIlxtwAba531zjVbHXJ8hg31v1Va2Saca19uqHlp2CcqOu8bbS6yRLLIrTfxpldcrKajzQctsiRKkMmkvM4RHLJ2MkcmUSZJgLYj7i+cVJ8EorFJjqY4uKZLGbdE3WdGiLhbw5sN0BWijIdOUBywBiwOhrsLkxAhNdEcnaNYRYPMeRAsDahmeWkCFMWw+oRQNbenB2WTuDRKZJdidhNuXgZoKEpMiYhDvJkC/xji5giBQgLq9FGj911HSwMXwv0mL/eT3AhmVGoNT8/PmzTffMjNz8zwTh20i7aAGz6jGWukdnqK+I7mvNsYaYCKqNDovqYF+1vIAEZKqtZGh5b1KUur7kAyQxPCkcMgcsrGPNUaCRwRyqypbr2FdEXHKCYhQSFRTAr6BQydbwLoNkkhXg/JNiu3GJs8jKX3aXL+5aP71v/spCf6HtY06+eg8G+88OR7UVcjj1HyoOCcNTeujLwokr2CO9EOsp+2SeNX0lLeyrn0IluRXKRbZhJECK2MdtsXpc5doDtxvO6/3AGtsQinagiHiI5G1vbPFbg07AYz81rVVvD6wSrw/EsoGuRW7zqFBm+ELcM3x5JZX0lDFqJpcS9OzD+na8pZt7RTCU0e3yiQH/WYaD6yBNzrYpwQo9D70mcPE7D0YlAAqgnmaKZep9PQMiBynIOHgEJj7FpobLa4rDs1u/iyVnHi9i3Rar4DF2hyNDnneFtQ25sJzFP0Qwl9bh1HzgEN0trz6QupZPML7a4s/jKhVFTaGcgQtdiwlGYMY4R68W3XwKeL1hJT08Z6tHGqeT0Oamngs+qFDiXEDnrh/gIQgOGVbuLfVPtm7AB8bqg+6pmSAfeQIclDyDGJb9tCg6D6BMZSEUsWmtJu3tjZNmmvIsKmkwMEDjGmexRrEkJZU5WqTUaS1Afwnp8aAX7JsXDkzOzEBBh9C1GvVsmPuO1wIQgqV8/MzbPbw6MmjLOMs5EjgxkmsJuZ6YByMWt34LL+ToyDqmXwUqWTGUIcMKrnNJqgbCMJPjsJFXr+1ZDpbQCdfceHRV20QJC6n6uB+9PtfevVliymfOnUaKu68SUirWXRBib5ZfZKILciRrKsofN0UNhtoMI2UWwpDy03CJlEFcxv4StXGluUplhSvkf6Q3L+m7UjvFL2pnkC0UsuKE0GC+aNnqAiSujgoo3HosyM4SxAWICVIwkNCWT19QDY94xS9jZr/8Kv3zY9/+jNz5x6U5m/gYWswvYE+4f3tGnCnIkgMNKoBCYOxyeCNxizT7Le3N6/1bc2CjGY0krW0Lmp1TCkLsjK0ZsamX0IEi8KbCIPfQ2nxyjKl3DskNzNmrbhpy7zKeJw5PD6b6MP1Vgs01ZRQBY/XXzO3bsNowIujQAycMwMOnCExCTaMi97LRjI0CU0towrRNoUDOTNM+XkDL2x7Ow1FrkwvzpgZGBg0w2wky8EVcz2PwbUTzUnIKHmigCLUh5fIvb31gwu0dbpEq6gt88tffWpufEahzSFMhs0V+gZCr9s17g8b7COE2DKUHfjh7QjwCS3NTEk1aHiTZ2Ow+fzARoSmtKsKHbwWeTICxVX55xpD6af4FJpSDt2Rbg3/88PcaMOnVYMJ7Y5+1lWIxSe9iQYMH+GZu5i+teUKbR1XPYsYV1s7Ofe7xWeFwPUTCGS16dwSgnkgtkqHzSyqzuEdks5QE9duLXMNbKajvaaQY2J4Pa+8a+weL55FisTjCFFaiGT0ytISmChQGM1CevEUVfwk3FQe/9TMBDo52+bK5c8t/VEt/MSESJCwjBB1iMa5SUem9RuLVOZ5m9cJV8LX/G0qKhsdGTWvvPY6iV8S+6Mj5uKl5/BsgySAoZLuBkMy8DhjmjOEbBJdU/OEEjkUjfm+Ptm8JyK1T8TrOjh2TZwGddfx48CpZkQbgV85HHkB0FbV3lB6QspxqNDKzgPXn7BKhvwomMAikxj/KHTfEDh8xfbcJUnOIh0GUuuBP/5nP/+N+e/+h/+Phc6+qYfH+nuc+3MM+O7D5Rs9D3SymxjRJg5NGcOdFVtNuTbGMoCiegwooqniC2CTczOjZm5qhiTkBRghQyxE8MnIGNokUyadp3ISml21WjBLLNStlWtUAnJ+j2OtBgxMkAbenmRq11eF6fLMgd5F0wNqhz4ktjQQD/MhDIyRHMBwqHAEI7Jwd8fs0JtQBU0USZItF29426xcpdyaULobfpAtFO98Coy3wK4j2uE8ibkOu7+fSTwx0WfWlwswU1z2ShcSssLnPJVjW6wJsUXYUFhEGRozqzOKqtxiMSa8ko/uhqB7QYbGaSTRvUnwXFrCxF2+of6kLipeYYngoCbGPO/fgZ4FxADFczdK0E1JwRHIIZACvFK0qypXwR/uZzTySOvC6lEi0pcQOKo5AjMIWGwHOGxxUz1KSQonguZ69iZzA3YKDwvA7NDcggxEj7rDUJJegdnU19/Lgu2hgXXKemwNlVoDHVUxJjIyTaQXe3lWZTjrVVHUJkdsab1t2sGYJUmgd0jGluHmH2HvfCqP8as6qbxtYdna9H7n+983r7/6CpthzNkEGWh54ra6z+a19NxUqMcGL8MtJhO/CmLcm0SgLWXiuytj3MEMkXdQZXMerrd628bRPQ+HengPa7IJ7GHDVLcgnAkkFE7MEr8opK5T6EwZr++jpoVFf61trwtSIWMex4sXlKKahSLslluLm99o423Nrh1jtZLTetMG54Tbx5nHbiWm2x1ZYbpAdZ1BkJPCa3nLGFScLcL0AE0aCMdQuwvysHvJJk/CvR4gIRFgV1bxhy4mzIWMpUYIv0lE6lHhcl8iSXLx9Evm6uWrthlqnzrKE7adOj8Gm6VsPvnkc5KUfBBevXdQtW+yOO9ByssDeJK3L9ctfBLvI3EC3FApwCOGQTJCw4QCFLKdZSpErzsnCKfAvMf2RsOW85NFv3evQtl/FP0URO23lk0RvRZVVN67t4Y0gAu5HGcED6zeCHBFkIihkscAPao6T5/jsiW0wPK3SCDpGWqzHNdN7H+akpG9r1BL59B71LZbi1T/P0SXoyEj73nE7md4Xni7xGLDuLcpoLHJiYOHfsWfOmike0cJQ18WlupCTrUSHHPSYiUabzy8JJjkKFFWmupcGRhtxmId4cxZI9PCcC8tU4qNp1/CwKuoa3RknKIPIhaKpepwyHsmGWMplTFXR4eRcEDC+NZq18S5/w6+cb8599xF88abbxKlJtngknSpGoEeiOKnqiltllEYt4NBq6YiAIVUcZ6opA78oaXvtDmDo+c0cbEU1f1HgvP7KLnfoUZjACXGhN6nvgBiTsEk0TPoYIQt1E3kZhuf20IyGXPNF9kEnVO6SvpX1BTn3zbnUVeaprL3bBIqFgRdJ5nvM5OnLzIvfg0hgTXxZRyydVpDwnMtiP/0D3Xpco6uNWeN+NExcWvA7VuEWyn0saPsbb/Ot340R4Jwp0cRjDo1e8qMAFFECKWirKICsq8djFDUEqGV5AyhZ4DGAjzrOhfTQ7grpnUEYz/w4ks0J57CgGehIfbbBsgqp23yr3DMevk9RNsRzKLpsD2g9o6e7TGn4a7quhbpbrN8ddsU6IiTHImaV79z3lo00d46Z4AewEBvfEa7KwzxfUiIJi3XUcCwSrAqR2iuF41BVSrXSiaNUFZTCcKjjp2XHPSes97K786/NGdV1z5//+Z+3ZOjzgfHUSKhd4ix7ppYYeCiXpKeFbL4PnGoVcyDlkR5hYjksI2je1Lq8XZFGD6eXxtJXysrrDZ3oh4+6nBRnPtepg3E3WUOg6M1veRlZygIa2Gcxf3vZz4prNfzkcHO0gw6SwuwOokrCZD50I7v8L0S7UXub/oMCVDw+TZzcAR51PFhBJXI2yxeuf6oq/7a/12Fbc9dumT+2n/8HwNZkkBSkRbeiTRG1KMyKMFsFc+4hkEbpCynhVDkjIvOp4SxPBr7NzFS6ZGJNIEMb7eDoOfXCwY+M3vGmKWOfU5SJsyQZPTDIgjj+KhLkTxuNUuRlx0iT9IhQmu6ZfOWHCDbqPWij9u9NqdwUIsmwDVzFovHNyVshS15+fU3zAeffm6u/PrfPv1npmsj2iWp4+SXBFN+Cc1ONN4W2dgl11gA9MgmSAOzx9C1iQln97HLF4y490zK9CNRmkQPIQxeJWilTpVchioey9flPVbLVwk4fTS/kqBVEn0UKfFFMSo6X52HKx3hMItVhIk4oVgeLRVRDMU8KEIPunj2AoUs0MJobJymxFpVW+rUUapkMdwbnDNhNUPWAjsWZslDQRQzZgrMTCTGBp7bJKT/KYqKPv3oGloklPgiR+iZIsG6wsefm5+m/RMVhyRbtAGu0RVb9m6AxsU70jGRAWVU1PS3isjVPvEpeX0abH117XNdNhx8uWRSFEzYUvZuK3mMaShZda2v7sMW6wjdYSUESVoOn5oAcx6xC0eVneqStJNB3MqGrUcwwN7JudczL86bwlYJvRpws6NuYIfdjxansHQ+Po7cQd8oVNPaKmPYxSCQFbFMJopDMEaSYugFE88ihpSDv3136Z5JL6Obvio9Fz6E+y5k6eHIIg8wb8S1z6DV3qz3mOnpGWsYAnh9atJrJzTn68HQFIm2tDqaJOi+Lp3jHzVFRsdGzTvvvmteePFF9OjJ/xDB6nnLIbGtEBxb7cwBGXYVzqgJi/61zrX+lRVnreJt2sIaC0zDHsKIW2+869Dwq5pSDRZOn72Eo4Q6IJBlVpLQQGaCNQVzBUQ5tQtFzZFVaSlvG0NkC3vw8u1naK9xqkBtAwNBKMLs5L3r93ZDUQmb6s5oGEGE/ea775j1ezdNZuXmo4bm8f9uNxM+HerzrjEnqnyahyq57VrdZ0uOtwBdA+48eZ1MeiZRiiV6UYGLkWCbPQVvlKISKzeJcEdHxriuEEoDLWYK/SAVnsn2q8M0hiSIHscgWOgQFK9+wq6kZFmhitWhEYbB3Hr5fQ5VvG0kI/sHKAKCv93mQZ6dnbUh+MVzp23pfYHiEsmr/vpnn6L0twzUwrXBPhge6efaJHwrudphuMTjiOFUKRBaN6fASF9+/qy5cnfR/PTXP7Pj7yUxlQA7d+YFoJ0+cOYSDJctNgz0Vph8L782z7UoOds2z/N+Scbe5hyffHaDQiLYNLYBMzepYkSnmnj/ZNf8w25n1ftP3O7H6DW5G8i6dljzXcZb8i5B4IYzL51HECpm1iiIqqRltLksimeqmeOpB8bo59k/RdhNBUyeSEqJZa+QS7tbmzzHkQ7ZZAprJs7P0TlpxuqpD5CkbHPBv/35H9uoZ9c2sLhVD6DNFoKMTRoXMBJpJEvvLiyazZUNtGYw+N0freSt6Gk4D1JJrNCQeog6BDEblDP4+JP3zMr1RceA4yHEYM4EuZ4xWDEFOO5rFDjVlVw9xr52pPt+yi+Kk+BLsTFpg5uHBvjCC89TTzFu4UN52jKWMTBvadBYCQbNBOvW4s+KAYKBtMbUYtKOMZXxViSjsYAEaKM1hfIW9jhwWAMO62iN9mZBqQRiB0QDi1BJ45ex5Vxidqm4RyGj3Tz4sggK77VK3rILPOOGrsvaeG0ezmcp+S5vSX+yfGiSntaY8/p6u2TOnZ4zZ154ybz3tA24hs7mSrkQ20SFm7CNEJ7uYe/ZTnQVOQkL50s/HmOe7mHgym0xePLoJgSVvHnWrG7dwShT0MPzyWKU40i7xmhm2YTtoAkR4Umpig9SMLswOCa8XpXW6iEUYFLIMBfILvfBLsiAscrgD8L7VfcaP1iaKjKzdKyJAAGorLZBWFaDg16DztckRA4S6s1ReDD1N6fAuxtmh83BR4gWx4j5gQ7aWLVB6HMt+uoVSV7m0rRqIuHVkxiCW37ITgbroZe/JeYoDy9nKcEnBMUiL9y7QcQQM2++QYKM67oAJXIL3nmhmIT/GiXiKJJckZdAok/8cC2WA8/XOhX8LrdJmyks4SPx70Pmhp+kcJioJI5+CZy4fbQub8PoGyUiwvtavrbABkiiB/0Kezyafr73iSyiXtQUf+cPvksZfcx8/vlls1x3OveEgcsm5kahVFLwdJcEhDuZQhjE6Fi/xTutBjRzQN5tiA31+ddeRlNjFC2WBJAU0ZqI/SzCbHrdGpeDuH0vHrMaApSgmcbYzHeAU7bR+ZaQfz1TY2Pm+VIpW9+xO8q+QwanAn21OUWEhQeqa0lIE8aVzq0iMbAOo0J0wwJ0xTCORAhaqbRiOuK7f02Os+fOmbfe+i6kgD4rJzA7jeQBUagK7dSBKsD8llKoGmfLk1UyUxi0vhekYg2kvF/GXxGKhVlcPFpLo8mGKClli8Mqecx51Hlr36ElJMeO9VxF+iDEmosgLdvfB3zF5ulAI5hpdZ9yE8vaWPyqxrSNTYBDtGfofxYPF/PFuTZFCD5h5njvsh3C4EVkaHE9Ys7I6If42+z0pPkQJUQrTve0Dzlmygd9WZRzh2OpQXbuzA7/iTxwYfcKe6S1XIdb3Yc3PAmehWdWgY8MRj1IEYcgkRB96ppgpDbhhEc8ALbdQ9Zbk2EH77OK4daEUQK0AhdY3tXqFsZQ2h1cW02NPO2kEhsOGhiNVmcnx6CWDVDpRUKD8/ah/ayQsA69KI2QToIdf4zuNzPoYNfBzHfgSKv0Wwa8FCA7zsaR3Vqjgz3l1VQ0qp2xsuN2g3fHw2KvbE637tyBVhWkbRzVoRiqUBjcHoOTgZYoXe/F5WWzsp41168smrs3wWFlsGWsiTr8FBq0Zby9ed4V+tgmDWou8BgZkCiCUGPPnYX9s2UKy67xdD/Dxz36EI0qZYvmxhc3TfYWBveEToLYQ2//3pvmtVdfNB9//JEtgLJSlPIHWFTpTSAysVU0fhQADcE0eu7tVyjS4VkTvTRJdPqJujCzvK/OcxmH0kkim3kibniFTVsVdax6p5Cj65BH2MFjy+9kzA34vTNzc8BO8PLZ+Gc5T5zFnxaOfwid0ztNAxrl4lUE/4nWelLo2cCCCchguC/QuiijmXNPQmOSx1UTbWGtFEm1JPt7Xyb4aVuGo5+/n7zG+XPnzTvvvG1Ow98OqKkJG5UK6tRjVVGH/bLzW40lRAVUBlFenOOAC9bwW6leh6Uin1v+cIdnbBkPloEiKqEMrMqT+b2+Duiz6lwJeOTD4xPQR4sWqgtzHVKpUAVmxwqcKOpxmr7Ydc9Ca8EQE8SqTcNW0uv2MfQy0oqkrNfvQhbOpiMxZDFkHK9cVdTy4hvMoYvPXzB3fvC75sM//RKwcF2TXFpNpOM4REd/vPteqcpUbXTWdmtd2AY6LqRyxHO6HrigKI2eErGitKksuojWEaOI7Kd2+RTaBBIU2ikgXQpcEQNrHIeSJ/EkZbm1gzcxnm3aqUlLuylaHIU7LbzWvuFRmCRUXqHRvYTHHSJ0VzuyFvoHOfD0dbjhvjgVmJTVN9hA6lmKRKAhhTEI25tI1RLe94IrCxevkmUfGBgAu75nJ+jAICppwuCk9dFCqAqcfLBv2FyTAew6dHtFJuEOlDh56TkKYFTpqOrMBFVhSp4urmyazzHcO1xPkQIiC5cwnhF6TYp21bRdcLydsutf+wSOOOLdL+O6lTTxk1tQ2agfed4WXE3rbbiRnD0138v4xM9PmBKC/JWDxls396gCFq1hNzzrG0TjhM/d2lo3t68vmMxd4AXXziqRW+Q52IPTjl+cMmdeOW8mUJJssXGnKLfPodGtvEc/uY4om18EYxEhUkvw/OV814hYCJl4HhSHdIeizhQzq/Rj3KKCdJVnv8W5WswdYbqDKeZaJW82lxlr6Itd++N9g1vBO18ubLCpULGqJh+H9dOUnIAMhiUe6+t+mOAET+2pvEXiUKeBDL7z5hvmzJmzOCKqWcAIcwua++ryJJE31bGr6lhFFJY5Ylkk3Jcog673KsEoW7JuGyU4bf4c8oeVbeO1gk7kmMgL5xQYeWHRWscHDz+wo4+iG7VLFFYuL12RekAUT7HOhHvzO0UGqt71mC8CHGXApfWtDcbyxgWDSYFQ3jjXLAqj4/3DP+cWhMvrvNbr4j51f71EGa++/RY6SF9QPOjAZE/t8Jzhk6SvbDjClxNo7K6ffXbBm37eMLO7OWwgPRx9iUhwPK/MYaFYbqizE6hkWaHs7Ru3aGhQtmp0EUKYBImMFJicD0MXZ/EqWTmAIdYuLt5ysUjTAvje4lWLo61ivSJeVY1Jp8q5FCJJg4S1WxureLirGMkc2BpUMh6Y9D98VG8GJS6F11TBoxIsktlcNZt0kRdPVV2ztykq4qPABCNg1JI5hUY2QfENE1Ec7zDtzaKoGKaG6CxPhZCT5d573Mpy+8iityFY31ta4x6vmTOngVEYuA36Gl6/lUY6E5y+J2CSVEmqOXIE3YZ8Og99TQUsdhU8kcOPsYtP9ZkYxUjykvyCn7RNYLybZTxQfVRXTqnDDI+PjZBkQYdE63WbMnueWXQMWVgMZou2c1Y7QJuCPKMDYWCIJg0qfhFnu3ckbjYLafPbjz4DiiFxSWLQrmTRD7s8j9hMn5l6/jRj3c9mzgaC8VZ4m+F5rqJe2GQj7UePJIjxqagrTRvwg41X1bfa8FTRqeS159hp6PSlak6VzG/xbDWPBBFcOHcKjJU+rMyLOMVbNTxEq6viUiMPG3SpOtrGE3YS24l8YCPT+50/69k1nyEIRRWmUXIFWnsDJF1luN94/VVbbBbnGauAxZlqjKS8Myth4CCmHbfCUYYUM+go+qlaQglu5rcSvjKYer2MsrSOnDyivFvh4njfYntYSEMFUaIWOsb44GFtgww2z902fNGakpfM2va5HVNkeyxN0cXSxXKRN6+m6A6VUBEBk1mRgQXI5WU6bAvLCNcGwBqWwXeqN0U91M9yJhtmHBLF2ZdeNR8+SQOuDxfzRP/qErXWPI9Bhtb73jPKGhiRGBxmpGXUWG/djbzFmLM/azp669YjO3gevd7jUYNZrt5o2+HQT9po93Xpue9x3PeL3UIe5bE1pPJWhEdr0W4s03WeEFQ7ZJsFGoKDLW9rAL6pks4tpCUrGEo1eCjB2/ValAlayYKZlbiyitTLSBQGCcVjaIeP0tx3aWHBXLn2BeJTYJVUXfWA7QXwOIbgnPpZ8E0SjOo/WcWYDyEQFYr2Y1jRQgEfxYk323hsOPLgriQ0LSEYYw6rIUL3H3LmJkdz45rqdbsOzRsVh3x+7Ra6LUhhskkt3N0yN29swTfVwDZFhYbZgdTmNCRs2sipC4kmeBFxrt3GwA/xtCWHKpjmKN54EpGmXkrHxThR0rjGjheBDC2OfJNIoTua1YOukyRSBBNGIbDvVfS7oUEqCorBp7/38RfWOwtoswX3rSM81IHNo2fZTjuZdG30vWMUTYXzFOCg23IjR2EPOYkXkRdFu9kPHx4NLdsmbPXmLXS9x83kpTmgkX4zB9Wyj+INHarGG6ZNXAGFyE3grUaVhhbkJJRUbBAB+YigVBbdwz1FeKZOIcneg9DwNEiOjk2PcC5kGYDrBomihkdGbJJ7G+ijil6L5bxbwjLvfdCYS8ELFpMMVohkeUPMKGmt82wZUOstdjxNm0evhS/tFYPIK7/+2ksk36ctC2cILZ+JsXErA6FqSBk4OVKO5yy4RA/Q5VMDm8gQy7kI8yWIRWNsTbt1tJ3xdljefMlb1z4myENeuoyllBtV3q7hZa02/YIwvO4wXcMgZ1gVtyqawkBbQy/sXA0/bHJUxphP4Xwy8kF53IJKpOUvSVmRGsSGEZRiBZvk/FM0hPGXQXdYMA504mmCO1WcLpuJa5NHP0Sk9+Yrr5uVW3eRTJBiokszPukTk4HF+bdia3J4yoydzIV+r+WiqS7Gl4yxXucZahluqRHwlsSY3yQoKtxZYvzyXJK9bnyh8zD1CEAbkqfWBiGnWmQ8K/rE25N8z+XXsF+a3xp33f8e/n28KNH1wL2oxek3qHXT3z9kKpevgANfsQm8OJ7BNB7gHNWLatirgh9pTt9dBnIA4pBSWZ2HlgAqafEwS3p4ZMu1xhqUEFYJqUtocEhjWv2GhYGq/2SDOynSDFmeWvv/z95/flmaXWd+4JvhTXpfWVkeVYUCQHgS9KabzfYajdbSkjQzmvkya82/pfmgNZKWpJE06pa6JbHZTU8QhCmYQnmX3kVGRobPiPn9nn3OjZuRUYWqAkACbN5CICKvee95j9nm2c/e+8x5quBxGO27SUXBw1h3OySLnH7sJDAMNTCm3xvef5vGEbBh7jNBh5j8exzU83TEfoxs0F2SiR6Al9+wy7kWwr4FtjLaBkLj0s2l4SZF4TeoXRIr3dLax8UOdeOsvQGFEPdQQb9Jiv+mVe5+xONJ3N4trJorb771o96a1zdRfGsE8eSbrsGZR34mpXkbF2OOucuitodF8XcM5CBhrVUzDX3jyLMkUKFkpz0crPkVGDj2HFxAkE1C8Tr2KWqfAHncfO0StSUQBnhF91CK21jHZMnTHPbs8OSLF2FqPE2DDW++Epp83P7sC8Onnn0KS5BqkNQ1OIF3c2qBFld2bkGZb6NwLyBwr1x/f7iKR2V7rOWVY1A6UQSmZgPBmJqtct8gK3SkjDzrnhcgj1vEGc5T80SRc4ZknGNAX6++doX2abBQro65kQcI72n2xaHTR0nWIuMQQTfB3jSZ5RZMFnHE7XX2Cl+0TRuv7XfB91Mf5m/+cQKP5cUXXxy+9LkXh2cwEiwdYNBPi9WyyFsoaOvAiy+7zrFgmxLTMlXIGGSXYzqNpR3MGZjEIlKFnVbyjIJaS1uneiJZfj4HJCHl1E3utaQRWhWT14Q8tYDF1vcfGimIQpWH2B+VFFTOmjNqqVnxdbFxaYRRNY35Yras8IDwiTkKSij3Txgn4vcaF1wzZWgj8N3zBj4xRFACc1g2yauxRgvve/axx4e//4/+2fDf/VdAZitvf7LFDGSp0Hau+PFGOlNQQe0PL08SyDfWlXr8DHj6OPdBcPPBLYxbkgMRVcORxyaAExHgtzSMOLtLyvlDw8XnZyktwQdtlsJxmuaeHnua+kA/ZO45j5/7hRNJFnrjO1T/JO7gGpWKTk3Y/JQ2+WiPEQ+8+IhwSsGllgjovfzKq9ADwUMtXoNrfd860PfAoNTWbDqx6Pu4pHftBM/k2wvA6mNHgVp0De8RkJxI52qEhx0/SKvfXbkBZHAa2JfKdli4c0zU4kkbIRNZR/i4YG4SsyIf0BFo+ebO8NRTx4bPYgW+/vo7oUydPj87XH8H6hyY983LQDOP0bH8wuPm2WehLbZ3k2a3N+ABd1qTU6E89ECsMaZ7VOwz22skGxj7Fguge3ODxsl3SKmneSfa8k5wvk3YLz4WT9CNno2UTa1LyPzYPeQkhYO+Qi/Ar3/9z4crux9BgLNqq2QUrpNpOH8ewThNgSgUhR1KoM9z/UeZ3JsoOQ/P42cQuKSebyMYHcLJ08dRcghlLJspBNbJs6c4qMdC6dQ5eQwrehelcB+FiXENA+hIEn9mCD6fP3VueOrkWeIAmAXMwRxCwQzbZ7DqZ6BN2tnnKAd0isDfIiUU1lBQqxT+36H+zCYB6sMwPDwBV6/dQXEvkhBFVUJcoy0E95soshvXOGzMH0biiInimO9eIzjNGl5EqZx6/CQGwG0+T30TsN4FICuqkz+0e+38M8nrdtieJAB99NwZvIYLOX9aeDO011tl/4DvsI9QisIHdp7Be6TDBF/418Bg+IDzdsQyAfwIk/widUpe+NRz1Oyxlgt9IFVuwhMqG+bULEYFYcIZYZPUPsvxTkAQgRlGCdQ7drSCXsEbRojCWghDwcmcGEgMdOGnFd6cQWNZKoRJvLkpruH3FRHC67T6KGP3ke8VQkm2iTi3B4nxtPKnMkq0yrWiNfRjcSMkZxT4WOwmbPnwTOuZ5nWxbX6KLlhf5rnUoreYWyx3wET11DRrPQUst2lMhkDpY2eA7AjyUja+LNb9Ftr4GnSr1t/KQxrC2L4tqicYfPu8CTtKQRN4iIcJC01z9lUkyjEDtceh7OJXDKvnlsD5kYlssSmK0E1idlvHSbr7Fpb5ESpxPgZUfPxzQIGWeQ78tYN3igH2JPt0e3r40ktAkhgr85uvDz/8tnRZ8ZXCbFJ690Nv6tFNVkFMFaeukD3ruIzJEEdJepmnhveFzzyTCoTn+PcmrunavetYp3SV5sYSqOAzC1iqJ+BjH8Ed1nKwm70W5rS4NptqjczLS6Ste/iJSgzHca0vnoO/avPiF1+Ci00iCrioUuRdLOM3/oJA5zG8gPNgtmy6P/3jH1Kq9e7w7PM0V2VRr7wNTU8/hHs/RQGfSZTOciw+qGt3LtMwd324SYW8cSvWPSj9ygxAO7hscXhG7rnmhD/OH0+7gWZw22wjdpjaDxe+eGF4gh5/z7/waYKvZ2DMHEn3EV0ge3iauyKmefoUGwwY6DblN7ex5KM0CAbfZzHvoKrNPIyZX2YIWp3U8zduU/AFzdF6ah4yhZ5779htrsGh2bYWMjVc5j+FkmT+bsH0eOfN14CBXs/l5J8bFPKgn6K8we2bN/Fy7sCTP0tlQ2qqv/U2HhGlXG1vRbDwAcruJGOFZkNFROh8uOMWqVJJ2HbLQOU6wlAccoK1XEF5brDxVy1xixU/jxu14nv4vIkeC4snYfLQK5WMyGtXLg9vvQktELydJkEf+Lj6+jXK0FKV8VlgOKEDMVAKcQ1HuWtdTtguUyfwwviuOQ7vNBCDgUgD7sJJswTBZ0kOs5n2HQTGbV18AVkDdMboFOqNXvjBo/jpvfJpGEW//Ru/RumJp2JZ6xXMRGhS7937azhwL7Xq/WuNB6v2vSbXNAGZdgixsaTYeV6LCeYhcI+kjCuWsPVKipWiYK+qkcIW26zTA368TnXCEWvW+m2MFasHxiLfm4+IE6GWKBVHZUcdBDP7wXFN6gWYKIRFaxVSx6DCEXbR2teiNmZilcKeWKRA0/jtGaJCMluMK/Cv3kKLxVlqFg2MUUFchQ9sktxzEiPhV3/jN4d/de9t7glhqmG//9GhEAev0EYYkyauluCMYRkLlyj1/LG8coLbCsE6c3oom5AVrIy4y1wb351EOz35OJYzbzSvYOc47LuTeKGPnYFuTFXWG8sIbixy6KrP6VmxH21+sQS1eRXDa/EoLeGAIk4tnqUq5BPEExeHd86tDD/cfTtxgeDfwkkfU3h762WBO3n5UcvqYlk8Sl42FiHut5poDoF2jo45h9ZxVW9czkYy0m1NE6PYJ+moPk1FNGl3N3B7FNRTMFjug+keYjGdKwXfSXnaCO7h6c3he3CZtyhD+sITzyMAF7Dkrg7f+fNvDkcvEgBhIo8eY/HpAvTKy2DQKdNxix6SuJYLWJ8s9ALdYuQh27UnmXzLWNYcZOtGb3BwtehHDze/98QmnwZGkTY1Yqop6bHejpLpZvLHOeCBF1/6LKyKxQrWct8LsG3mrMRm9NyATih04le2gnKDomlJuvjMi5/h+2nrBk/aTapVfZ/SjdevXw3z5dqlSxHmMm6c4zsI+9uX369hdst+5Ne1p+HeTm8wF8QSVkkzt3jnYSCV+ROz1Ep/By79zSola7lQlNqaG1XhAPi2gof02IWnht0v7gyvfZ1I/itLwywFws4//mQOs1TPKazB+1qDLP19EqcUNLexpLcRkpfevZTg5+c+/yJJXSRYQSe9CtXyFveyYgNqvndx4fhwDSt8nf6JS1jT775xedi8VVbhh+3JbdwlU+m1oBVe2IbD2YtAN9TRufTGewMtUOmcdAyoCU+IAzXtoUIgrTO/QnhzdgA6dor7xSRToLMeq+wDPY5D0B0PEYcxFvAjHx76cZRlD5R86KPjwu2ga05hsJx57NzwBDGFk1hZT1ykoww85lMwbDRktoHKbBlnvQ/TGKeFIBIctLiUwhFhpRfk7jIgqZGgwNMclX4bK7h+ty27F6jkgAhNBCIR644S0zMGlgPCDOtEyxnFLRNk16BjGBCx0YslckAyT6CVFMmv77VsiWFRYZGwSIRMcu0iQAQO8ayJj2MQeE1hvhBLhFmAJlQUKic/ZLBaargwkAaWsI6Wt4XK1rEmLJclpJnPMP6vfvHzlJn+8vDy935/VPQya+FNRCDXWZY+GsEd61s8A5njwMgzGWVTW/fH13UUVIbmtLRAsQHL1Qe0iRNRNSZ3mtLT0Hy3QQy2IFiYZPU47LrDExiv/H2KGFDKiGDMHsWj9YxClxh2kI9W29w6sjk8ff654QQGoftoVugv2GIp0kBgMZ+7Nfkjd23e0Cxwo9QVhRbTUisa8FuhNvcGHF1fu7p9aTjGBj02vY0wIisSzOQMVrca1bRorbyjaJ5pLIgptOUki7oolEKg7I3X38QynQ/WOYOwX0aLRfERaLx95crw9OnHUtD9KVLDv/alTyOY59Ki6xoFj06Q+HPxaSh+r90bLr9FWVu6uTvXs0eZ0M9w2FEsCmu7rstFN6hjsHSaydTFHlnhKigDOVjVG3LSJezzmD9zZvi0GW7AME/SH/LixYu4PGShshCpFxGsriLlSVjW/eLeCO3kMLlxFXh6MB4ea6GrYY/Dn50BOzag5+PTzz2b2XVe5bGvc5i17u+wob77rW/Sc/J9sOs56qJ/BwVJA+cGg3mvc7i8x7GqH5yALoeXcQSc/+KTT2ANU0r32tJApfV4QO7DNeCC7XUEutgmwvg649vGYpJBMoMS2sAi8N6OU/3vHoHnRWhaW5SE1Qoyo+4+PH4Df/69QhD5fYLHd96+PVxnzL/BwVjiuR++/np6pB6HCnpMhgq4zyQZbCdPkQiFQF5BaF67jZIf58wfsB8nDWo/dZHrIISBae4BAW2BE2oBGfmZYB+s41kY0N5GicwC/9iHc0Msl3nZIFi7oRBBkN+ji/kGinH3Cgwea2rcIs38gyL6OeRNYRLPOcRBt55PUERem4fvPj9rrGVpNOosNfDAcTwBA68aI86jcQeFznG8r8ftLkRA9jww1gQfUGDLib/COC0F4d5/4F51JxgcDFtD6p2CmxwL9qwp5LJMyhqrzET3WTjDoUqyD2WD5DWxbYOC1dg70Fuj+im8EzCM9S33XSpfBc12dmaypyeaARIL3ucP0lB6YMyJUMpmsHl7l9IGj72twhFqCPOPs5IWez48a45TyCfwimBCCfDqf6nQV+Gg1CQtxFOoz+Su27gUaUK1ssQOTRP4hG57FJjtM88/P/zg1d+vmJXnJBrI3/yhvqblG25qCXP2dcIDBtQJHu+s0PdzPEW+G3nW/xEE8N86ekfxMIBtzIF5+uLJ4cKZ48O5U1TM3KHn66rGHNnqFFGbBTI5Cg35JHvCkgYbMp04owsojBOPPcN5X8VIWuZsLwxHMAjNnZjF0JLVZ7Kf61vwiYZz+8kNfbRHBTH5ccMZ8BBEsR3SHNa0DY037H7CgdayuUKB/fs0r70PB1dX9bFnSH5xgiIlHwyfe+ml4UkEi3VJrly6Oswj/LUojCHdIxB4DZf73Tcv8T1kUJ5aHC7SUmvRIle49DevUf+CQ/wSGWf3EBJPYO0tkza8zaSsbrxXzAK04SyZl0aO5xWUtG9bJFNtDcjkElmddxjj5OQ8wc9ToRU+lFjupjIbz6p1bLyTQDefJtvtSSzuX/g03T9s8ppDpALDjbLJgh3ZOZzJGBNfVGzr7cTVZK6UmGpPN2vWgb+ElpLQwia1bncOmnq20pXnsKoep16LT+q+Xjg/T5XGZ1loYAQ0/X/z398AgnjHlpejxxEhijnm6hTNHpib95jD9998b7hz/ToxCGqHr9BYw/6WxxeGTZJghLdiiouvEfB8DytcWGxL64PHWRgPJwmgyXiRMbQGxDPDBr+PYtu0qTTjvUtnlLu37g7TFiOjFO07b9ykWfW/AmtfTyPcGQTSLZKp7iLwHzv7YHj8whN4agvD40/OsmGpJX4ZYaon8CEJOaeeuUgw9QLKd3O4xVhuwN1fuXyTQ+dimaJ9JwdQa2gHOMcxn6Gv47WbZKACra1KNcSineWg3acsgnDJhJXyUo0vQMSBp8Bs3l0EwiGabk/g9rqHbXE3hWeoUDX7cWprmUqYS6MArHr7DB7aVz/3W8MTxEEOY3WFZcN/lnB1P9KdlT3srqM8AGdlivFNY/1tsj9XgPgW2OsyR1Kxj/M1jUI19d8O8cIahazZyaYgEg94mDRc0UQ7IZMi33VLDaHNvU7DHXY+FHzblHgtNhkKGQVvqQENmzxEDxI0dWvYrNzN3AL3oVGMu6xt6hoNUcGthSmMYIDSe3BXp4GEEIvBba6pkprGugyuLg7/EA0USKx1p3eNEk8N4mV/TWEVz4iCnn8Hd5dMhGcojKLg4z4n+Z7JxAeAaTr3vw/b8xgrGymOAJ/Eq7c/p8oHCwHIkv24v1Bbpw92D0yWiQ6PBd480uoC9shReuTKwDPv5SjC+/DcMWQMxiOJgBMy1vg5jKc8s4NB4FizvlCyaWSjTLH8sbXTva5JeVHWwmPOe1APIRs1TcdyP4YAz1tTzMQd5EX8LQQRUCiYlxtJ7vLSXVybd1kYbnz53ASWIJl0CBUF2Do38Z1X3iyLFKvxPYS4kfaLVDB87813h2/+Cc0C7nIeTwzDxedsPkzLrFMELYEQZhKxxsXClV+mYM4KB+AY7uhbb10a3vgBTAI1LUJtC4GUehcwEKyv8O77l4fL718arhH43AFLn7PjNpDBffjUXTFn7xqkwyp+7ne+NlxgPJ/53C8Mz2B1LzJw4xduhkMGU9T+vH8uFCmzzXDdE7As60fLKUAx7zIrzUJdBl7c4LGMcviMvFvYhw3npoxQ8dN4Cdms5Y6m+psHPvETLExaFB3Gmh0XO0J3zzDHX/rC7+WwyYl/Hez71VdeYVMDIRH82qbMwDrUQLiclebvJjWqLE0Kyt4mRaICJLAxz1IE67lPPUMM4sLwCut2mZ6Sdlq5TakE8Utrz9yE4y2tcB1hvkVJgQFWyzZ49pIBQoTp1bXrxCigKyL4jrK+k0Tkb1AIyzk8hsd0/Qp/s45Wpzvw0RZmEjjGE9tlvFDcERTBFm7+Jhj+DmWGYxXjt7t2y3D1bSgxgXusC36ftboLNLVDJOk2+2ug5krhwh/+2F036cstjnFC4xCCAbHit616yBiEuuZ2KdswJs/cP5au/dIXfiE0WoPIBuXC0HCNgTCMcUwhxDa5lgXbhH18j15DQh829MM7m1+AJcNv4ygKaufdgKAYcoSSR7HkdMYQw7jtvyJiK9iFS1A8CMlDJvfYpIH3bJMZ61nV6s5cKWaNsvGHNL+kuhvgzV5E6WMMGRKtYOXDAnx0fmKBCIVMo1dRPp5VPV4npYabe5gB6lAx5J7Zzz1j1PclQc+CSgmYFoXRj3eqYc6o99vOWLwNoRcC7rJd/Babt5hnbdeoD33YUu+u5Sw8v9Y6VzjxmSVx2L1P6gEuPHMs67XLmE+co8rq0anh7g3qGWGlb8OAU6BeuXQFKiMZ4uRSHGHtVcJTMN6Edeem8T45C8bVpsiVsFmzcQwNSIO9s7yewDIbboJ9LFxZciImXWRNcz9K7CpzHpJcH36rBaFwFakspua6nK7K8vLV4R4Exw0EwS1A+vsmxnBo5qlOKGdmi0mcoBD7uSdfwJ2YAlYh/ZsVuQf+bYBwHlhlgdT2Cdwto9HHERiLC6eGW+9eS0OF9+4gbCmWtYyVtn716vAkVul5YII7sjOmqGIHpvndr786vP79q8PmDNbSxaJPTaFV7c6yBF/4HhbiGr/XqMI3rHMTBqsPmz4sdFHz0mYIL2Kget2F4f/+f/t/DOdP07JLiIEn7e1YzFo3cZtMf3lwsjlbZbcchQo4eFDCow1mrTViurKSpk6bnFgPpAiM9y4H1s+VW+lG5eCwgAaAzLbTEje9XDbCWO5OVk55dJjN8GWw9U0OqwfkJb2TX/4NMH+ELYHKt954c7iLm25CkNHvDRSHQmgJ5onQFtW1PGHDU198YfjKL38F/P3e8I1vfWe4QS2VLYS0PRMvvUFXG0eJFXoP3nuCqqZV0t+ytGcJFN1MS376Q0Hw4PDWwLl1nZILKO1lSo1u3mE97nBgeqLEvj0Yg4PYymkSmcyiXSEl3tTqi09c5JCbsIWbSwBqU0tZGQ5WOU2RsV34j3dhBNmf8T69WNeoFqk3uHKNsVPoqmgSH+Hh2zzIuMPTxBLm5qlJDw1pgzIF3vP9SYTgLAloLme7nL+tl3MCmGsXa3eGzXIE70R2hZ2CAqOGJocQxXIWftMSrdKq1BHBijxCQoo02wlc6RRxEk1WkGlxCj/4N0JVyCHK3XPpnoy3Jsyg1mGvRGGgmGn+K3ziwujFCJ/IPkpJDGEVnlNQVLp9ExUigMYTIhTd4LY2RvgQmD6ofEEgEAR2koMSmK/StB6WLQZoOlBaq1kPRZmbrxEaKdzcJyKAWZ8I9+Dvxf/2PRGe8U41kvyILJo6V6mkCAslwtLv4qxuT1YJgL2VOWC9fZkaQbt0qcqBMlWELZneBv3h2ko5RVYdg6J8ihyKF55/AuU6Qf9d4z5Y8AzoLojDAnviKBb3oW1r7uBpIduMU0xb/4nkQTIeopyikLHSu4/kmjjH4t0qLUt/SHU+hKA3XlFKucMmWuPeu/ZzGYsf5dFohDXRCp1gbkljpWAQjPQVDswyFtyUSTZavmzAE2fPFIbGJrtOAE3BcZ+gXdYVoT7DjwrhFEWrxEdvg2drmbm4M2BG66/+EOYDPSmxRB5gqZhSvw7vc8ndCjZ7lD6Ha1z3zbdfY2IQ3iexzBC+Yu3CNfKnl2miuUt7Nedhis70k1CExESl/S1TPVDWxrhB4djmEfwnEYbTdiBhM8y2amA7BjzHSmkmiu82DNaYE1TuVPtXSnLmLGmRR6Tn1Ux6M2J0J/3TOSorw2CUmre9L5/R4q9lUivb4Pj9q2+P6reMFlCaGIGoybjUxmhwUxG6x8D/n4AD/5lPvRin2mtvYHELgawjZG7QKu4dgpx3aJp8/BRBaKLmh6kj/vbbr8OnfxkIhM5EWLYQtRgA8Qpq1gw0Zh4Qjsk4a80mSnKPPXwtiQ67XHtpWPnTb3PrtO4Cn7xBe7XRJHzADow1yvwctrYKsMJtePkLuJ83qXpnS737V2HxUK0yVlN7LN9YSoG0XTyde/O3rWyMt0UiFJ2xNw2UY/nIehJ31+qawtVN2jbwX/BmBOjZcwSpma/IFZTOmSefCn3RCbff5xLKrrytXTycP6RX5w9GsQiXNowLfhsvEJP2HiYwemSWaDlbm9PA4LT1V1R6fO9hIMTj7F+rcM7iegs5bLNOJrvEaAgmLVyiKHTspaSTuagn69zHK9Sba/EW9sIantsG8FlZzdL0xMEVwsB3cR69XnXkqUB7qz/SlLGf8n6yqzVmmLP9kJPvscpn6powdsR8lIiWdULOKpncgU3A9Q7rzNnQpLY57wruXfcqg0XoQKgnlUxzfmSsyEwpGqEP10cF6NlJUFTokzVyFiQ35Pz9qIcHXoHdf/a/X2UJI2WNMhITwGlz8/TFfZv4EB7+UWieFyn2ZjBy8TMvxNO249Wc3rqsFI2urFF52DaGdo5mDZwGxgKGtPSGwWPPluLCgC6DWceYmlrXU2kEdNPno0gTlCnx8RFur9/OGAbuQrMcrL7dUG6QKHMPS/sKXXLUDI8/RQlXikwt31mOZWk3jmwdCuzcZzN5KBNZZmIM3hngERt048xw17IubmOl2+hBrvIq33HqyPHhJBzvOV8n03Pt/k2szcOp+Pc++K5JJwYkJhEyszBaTpIBuAUV8R4BqghvZI0adocGEHKhszexBi6cvDBsEJh6Y/nNQoTahCj8TDTR3ZlIQIZN4YuN+uSkVOqvn6mNX39XpL582Xr017qwH7dexoNBPQDajJHM2d51vWZdTwXy9qXXh0vXCGCOmeF+7vTJ87Vpc8h0P0uxyGywjIGVFxVQPhbB3mQ1yGB4Fnz5y/RF3BaLZG7uA4EsUwtm8sIz4ObUdkaAL6Ogvdrxp8iQffD2sHrlxjBHMHIe4bgBq2QZOpQxjV0tPS1cBN1RvLAZuNk337o8rL2/Aree/YDlvjGF25qypvUIxXX8EQvLWuHUiz91nsy6K8NrL79JsG9reIZEqGOLp4b3oTs+AAp5IKHfh8KXe7FTjw1EDADNEtl/6sXnqVOPN8gaHTt+OvO6wOvz3Lu16BWYehcGYxVUs6T7HyPQdBoYpDaumwEhZJGwCCI9UKxRBQWHcXP1HapU/mAvFqHF5nJx0ILTcgA3gao8tCpUcdlZYQheDEspsIh/a6WZkdpS23NYuVhghPLkkuDSBHiCe86Thpk6gDFVhx2LE1hqAeVhzW3XFB9eoanw7V6hn3ELKyTzPnHjbctHmGaPB6s1mBiOB6O585nmhhX39Wr36/x5rEy0k4OfrM/cgm/Q2qx7SAIg/4qSYw30NxOL0L8N1RBKpN2AMGbSuIFxV2NlvYPiiDt2ZUcyiLVYM4YiB+h8OHaVpvvxocYzY2fqIcvVddYLPMyF8egmgFitFrslVNbx86MoKeDWKzR0MSkHcQaL6MhwnHGcoZHzSYwkcyIm7KZOguEugtx65Y5/QlaPwVzhJc5FUv+jmEvhJmCNFS5+H+iU2kCbwDtTGCtOYkIQga7HJr0kRPvZd34O+GcT4IgDN7STxMa7Cyxx47vgzrOA9kTpX4L/vADD5D4DXwBXLUK+VfzAfHAZtAI8rDMI/yg+hIpY7QoA/iqW+SZJN/dJmxfDnBZrdtMCydyZuI1lTksoSrwGu2Rja3FfgpFx6cr72QBzF6TtUKKVuho7FDraRllsUvvaNm8lJfif0UToZidITf6NX/ut4bd//beH77z8B8NrP/yTh6xwN5xgx4xWsRtEK5m1zQHWNW0/XXgXvadt9pwqTYOSrr2i3ej1Npx8xmFFE5cbuZc2vKcU8l3N5a/NeIjGzDAumuXu5YxFnuG+nn/qpSidRON1p9XeLaV6OmnRfF4rxm/2PSgxEze8r1SP011l3k/S9eg4AnAHCOlTTzyXwNgygcuN1N2A+/2LVBFE0S4SoDvM5tX6unz1SlrRKczl/9uh9DGqR3oQXz396nCXeib2trwDBdTKhNN4agp7A0hkWzFOtWw9SmYcGj79pa8Mzz//eeqy3MZDeBeG0RvAIzvDr3z5V4abF56LK77KuFx/LfRjjGUFa/Mc9LxjZJp6yE/AXNHzU1gaHPRAifiYs6Bra9ChekIWY8MqlwV7OY5Wa4PXDNpGiFh7o633LNecGS9EM7oB4TIsae/N++GaYY/4fTxSL8QlcB2COgm3lbDzdwUmyyqOgPLQKMRlKuXvsupLCCm4hIXMeSiWxg6Cy7OlNAsAwjzLl07JWLcAFp/zEcZKFETtxWDV7nEtA7VPG081Oq6Etjp/o6VqCwaShrfrfBmEU1EUXt+UkZh9vktlaFJP1VRKpUIUjBa6e78uLStGKzRcrtAGTWQSp9Zid60tSKcnJHtFZplK1bWZtChXlJo4uB5Kk3jNMPNo2It1fQ7SBQF9MyqnzqNoCUxvWiOI/Ifpk/QCoNrlc8TV3njl/eF7f/x27vHi5w4PTz93OnTnZbzJ9TUMAoLbD8jfOEaQep5Jsl+AfQM214kToQEiuA3+4+3uHMJoIIbkpt1AdrnHZaMYOM5/KmaKqlkdMp2yMuak+IxkyL5Z/1j/LAzc/0ZBEhU7k3sLutqzs8Ov/eYXh2cvvji8+uobw21Ktk4RWdW6cKN4kLSeTcK5QXMGC70fkefIBK944BH4KxzubYJGsWrQdKuXOdBN+K7RgCD0J1bAyP8WCyj2demd91JXZeaMGx135DYT8T7X8+Z1icYtu3mKPMFMeB6M+Je/+LXh85/9wnCaZgyvaDU7X/vckdAl/VG3x6IuAd0t7zqEfm99SdUraEFHp74djHHh3gV/3j9mpY/zaruQjjXfonbjCsPPailHpo9tzMPATDJ1xA5LJHh+KxBUMJZWj25/Catsbj2pRkUL9pmDrHflQde/tpZ0WWWnD2O9cr9ikZOk/LYpqcPPAXwJeEaGjBa+X7MM5VAhZC3q3/jl3wx0dg/l/B7NGAzmCq9VzQ26LlEt8I+//l9DV4Qd5NdG/3HNF14aPvfi55NnsfPLOwRQ8QoY4QkyXWc/+6VkgwYa4H8JGPHdVroznmD7rV7YKQec9drAxZ4PZU1hSLCMe9EQiSJl7IqCqseRzR7hJwbsfYhGpl6IW8u6KVr89mrMqu89HLtMkSN0aHcMfT2dyw619U9U0osKxPRxK+2Vgs56uRyBTIQiyhDSqi7SgIecs6IQ9yMWBqPZhtTP0gDVwEKmk+9LYSpdcy1b3m8Q1aS2XvRqAiqmkI5wk/isVnBVZCzDJFa3MGHgioJs+qP/tWo5AuZ9gdiS7e2cqdxD9lTBh9IXsy7mV5hLEmhSzLx47FsItm0MDC1vDQrPmIJZ617L/gHQqTVhxMq1WicR4sqWdb0N7lEFmSxV27YxTBPNxs+ZR3URePXxX3o6iW0biyvDhReolAp769I71zAcl4AaF4av0Hnqs88+C2V4bjhyCtmDTHry2bPD4xcfD7X5EmVBtpBRT1Hi4ekzjwPlMmfk01cwtJRoYgAMghB2lMkkyQp2KrKGjYpGBbcjdMR6KtinEPg7eEoJ6uKNzbLp5wnel2yI6hzbZR//zwY6lWgYKWGvifE0y8GRKvUWrId3334D16vqGRw/ciIZiLcIWGkdeXDvr9L+DCtpGStSrbyKACcoHW1sB/td8EytI7m02egq0TsEhl9dGl7d+CGcaIIBZE2dPHsUzjIamLcchYt54wqW1bFAUAlojR4aPRhCT7704vCrv/b3hs+/+AvDxbMXyxJV640J0rFjSOAFt8bstAg8b7udajd14gBR9R79HKJx4TySrE671pR4XNv0HUqp7yqBX+T8ShWuQ1MHph/o8F39z+9hXt96/zU2AtiuNRkcAUPQwpO+aMA1KdON1ZKxOfwEjrTm63uLe+tO8/u8SB1WXdxKbTYTTxe3qJAPVKCOiVceYHHnb7MdnT/ebqjtCHvA7/IezyNke5GpCaLyh04qhQ8NX/ncFyOgDW47BhkLV268N3zze/8/Ao97AlzB/BjW8xNQGZOZyuPCWYpJiItyIMSTa9r6HNZ+EVabTRcaG3k4F3Wv3km607jPEIgymxTAsbJ9Dbc/Fifv1+ty3rzXVOgT+27p636jwfh6ywHWKK8reEw6Kqs2rl8p9MaPLsVbwiUNPaJgS3M57vpiMQ6EdIKP5U0Z3HIBEwA13V24gjFPkeF4aBeXHQWoYFOxRcnHA0MYso6gIuwvPF4NDe85JWibcOC3O0/6nwrwkAkuTXAHyWnWs953Z7/Uztt7aA+ssH5T0uKSW+F76/Vu+CnQA0WGh+5tCpmUPNnGKItVallaSyHwKe9virRyIZFp5kg2k3OnEjAoHBYX35dCWokb1f5U+aiYo+D2j5PPnabG/zD/BKUpyEB+DMgXb3OB+Xxnc3n42meeHF4EJjSZ98nHDVpimNiSDk78qROH6R5Glygqg14lBrVI3f1F0IcNZNoE3qgKZJ7438wUuSGWvGWfzM9X3SgNDKEqvU8hKs+eMK/LnDCGSgnFZqU4e/dOy0qRj9/24p4ics99fGFeAty5jxQp7RoXEIF5F1xIF3qZ4gOX4WlvosqncUvmrRngmOhDdPU67aqySHDF79qEARjAE4gVf+gw70coS71Z3VkZNu05qUc9HhNboSDVa6vD3Yn7w9nPQPN7nqYN51hsNsAcEzl5Hnz2+ORw7cj2cOv7fJa9O3MSzQi17Qw88d/9e79LpbJfIWOWg6WFxlumwqXcF3hr9+lOkHqZoF/mqyzZQCnMQSXelNCro9wCMPxLSyHW5Zj10gV5t7bT+QRB4nX2cPFmwWcXFoadw+sB5ztmiO4v3bs1vHflzZGO6Gv55PlnSLo5wdxbcEiB3YI9jTfaa1XolHVIptBI36z4VZiXa+v3essKnx3WR4UaS7d5JFU3Q9euKRUDXyq1ZvFPq4BhhJTd4D15kAxccT8tddoDapbrBGs3YRR+fFM2pSNePK2QU7yEcy/OWjVBCu+NamoB4rIF/S6hNO/LcQuDhakBfqo7rruuANgOtlgeVs1xzX3mwGfiQcnEUL7qKbjno6kbvKIc2m9/l7SoPVGlV4N4MFdCL6VKc+c1M76e7Fwt6GaNZ601aPi3QXQES+5XwQ30YcBRIb0NJKJVLTfceV8HNlwjOK/QUpDEUGgJMRrTYSwo2KMgZG9g2di0OBuarGWsQXvRWvBLqaIAJvYWgb2rMNJr894PEB5e4jqU0rdef2P4PMXCbHOoJ/jA9dW6jqIrjy/nyOu4Z5zrZjxoLMjAcd4V1vaxlf7rHizsGMs0i1Aec90Le8BaI86BHqtCP/vSTNCq/TL+cJwqgW//5TeJBW4Ov/oPCDzOCaltDxdPwVrbPAZ5ATjo9nsswF3KNywNf/kXr1I4bYXs4sXha1+jZhB5INsEamcnaCqismKDqGQfbFX7uiSWtsSbaVhuaSLunlcJCg/pebDfC/KpNTewHOgI4b5B9mZF/q2BAz8/sQ73XAntsgMjiOt39tSPfjQWitflwMQ1aR+CMbMFdeu7f/JW+u1Z2CrdypnAXScX9bIOzHGDZrgamEcoTJWOG8mj5X9CoGBPFuo/Tor5Ctr2+i0K6oz3WewWrrJWXJ8PxtJ8AJ+WG1tfxSU/RcYlpUePHbk/fB/lsHl/enj6padoXvwMGVlfoHvJZ4cjYJLiZ0m08WDuFxzj8xArKCZDDuzeDZeg8JGIfXbg2CS6Kbm4h8wD3N1PN1u3vrsQD4auCk6XkzK6fLhpNzGxXV7jB15fq1i4w3K8Zmf29H/XYX72EC3lnmvCshbYQ6JFXzWXtS65bizpOhB91DmY/pcgSZUf9ZBpvGgdljsfNdb+c+/UwfK2q9WWHAOvWdz40oklpgxsB1POsEpcRrHFEjNYjFveoIn9W9FAsiXdhDuyHF2IKpuYswqElbIRYku2mvchTU6LNVBDlVyVO55AWqyypj3fTzQAAP/0SURBVJAUcJnxEkzlMZRlHEGlAI/sEU6r20qjgu5N8QYP6EO6hyG8f+3tsD+0aJOO7jHVg/GbhEKqupbiJkLYOQ77QK/I9zZoy8JVCnAZNenrCdSYfkJcc4NaM7IXpDjuYMQo8JynKKLAD3AZtJhN4AEAUpi6vh0eOQRGnxVK0SmgzlAAq6Va9mTejnDhey0NIRxqM4cRxDQ6BbVvbyjAgSVe/MyLVfKgtmETqCrAmPK5v1yeMcdedo/xn+Ot72xWp/MQzwTjrgXe3ZnV+q1qwYgb14equqJCsu6BvdHhnrFxuk4K2c+SxX1ohiTCt94H9rtLE5IzKchmU4gffJf+BuDa8yii915bH974HsYkX/P+G+u0/vvm8OUvk4FNpuUCAXCTrHYp2mfOrP0kAYoT7N4g8J82dHoX6YPAWdb78rxXMC3y0TU3A3MX6MR8p7D6gIInkJtCasYqjEvEUaqTM3Y3H+/PkQCXdO51erH4XIa1XbnKTSBce01cq8spLI4ex92wwcJtXmPv3SfaPWEvR+dePjYKYIYIvWUItsDwQmTH5U7HiW4cO3YznxT2/EwuHBpuGEjwYBP5PQy+PYOGXqMOyAYtzUyft7vPZ1/80vDlL/7S8MTZp/k+Bo1SAEFrmwnlYp2BA6hGpReL+uTsRSZkMHuHN1OqddjgkW6Z9INf1eFKEKT2t9MfF32vJGbxuY2+70EsQk9yTmNJpaZKafTQDFtkvR+OvoReVy6xWKFJNW4UpyxMB0tixmqp4Fz1Hyx8rhdA8mD5GYWy7lvfKGG0ZBmaMM5V+TuGTdsH3qOCwk+pGJIx1jZbuV/NamsWRGbFDVTzYUeVUAeaKB3dk9+g5WoSigLZ6+dadU3HvB1IRwxbCEDoA2gkQrB7DyUcPUCyTUyakLQpAyb0Oy8VK951qmF3OMu2Ylm/eEIKn1gRIyWsoNeKvXD2yQikZrzHHX7/yts0AnlteP7pzyRtvIRXSw/3EGcrlVA3yJvfUusss5DZ0eLSCOAAWzjM/rF6EBHYCost7mklBogo604s5vJwgjObvcdA7lu5U1zY7E2VMOOYsrITcziR+uBasQrN4iqbeBM13BRYJZLUXsk+b2u2X9G6ZpaouEbjlRvkahyD9ROGCcsaOI57lw+fQL7ByHC3ZfEYsKx9pMFicNNHskUZQ2+i3M9WGjkkRlHwYgpzxdKoQKwCU3pn3uc+eKjIUSkaWW3LJKNtMYff/Pr7MUpeoyWk6MAsmXrFz2fcU7eHHWVWe1gG9pt/sja88/prw1NPH8ZgPDz82q+8RLGqqVBxHfrhCUqEdE4/yncV2tUhjOl11sF5n4Y2PZvyvvYUJhGRpiSBS0jaEfI6hOD2b9fHcxrKpt5ZVuXHe+wFMbPFRme86gJIgFfAdiVxTPm8O7z5HWpEP76cLtJTWInbSwgzfqx/q9Ka4+ZPn6M7DjclhrZMUsm6DQbc4b5nuQ1aOiLR4ukz8MCXYDLA/d1KSzHYJ9bJYTPcu7UJjANdjYSSo/MI75e+MvzC574C3v0UGwlhpcXWtLXBAneXHbMbPvLQ7CQA4WZtyQLxXmKZuVfKqi4GSmyq0WeLaaLAbXhxM6nHA5plhZf1WcJ+7/NxjY3A6/onbdqymW7yCkwqcNvsPyzvIuRrE0cAN0tKsaqxZ8JQfWewlREsJAslATSEghHx+nxZNSEgBles51VkxSVWmCp8tHjqUBQzoYK9NQdl5eYqJfdG89TdaS3KCJC06GoKbmwV/EjYGCoV3+uoYvRXjECBanDJF3LumxDdMts1d2AhJCABs2AJXnpAhYoqtdvhuFBlZdY/+zrwyXx5TVkNvXkO3ma8Eq0irst/CvBzNFowz0FD0bF4cL/zw78YPv3s59RCsZ6bg1/QQaxM16xw6igqU8FVGq6XwknrN2nvVIGU/ZPkHClmZpFWuzSLdoWbHW+jgozOTzB89yrfukAykHsgmaAIty1cfgOH6Q6fOInXqMqDGgwumHebBDzVY6zdmp80YUit8IdFePYA8/oG1M533nl7eP7Tn816p+6P0IYwkeOyXDTQj0LbrOMuLoQGk7yDgaWxY9ys1qUMF79fyzmQibsqCsV9YBykYgvxmjD6EkgkqKsVu7/1m+PcWNse/uTffbv2ZAwR+xMAobxAc2uSBe9e4vw0ZurYdsyfGMcD/dD5gRM+S9vFm5vDF79ylPr2Z9LYxmO2gZc0QwBSO2OLUtdSOIVGJidpOi2WDy5e/HYDmxpYnEGEYZpFM/50oOeLZOfZLMY90o2KGs8nE+UjGmEOTqLH7eEr/sNgoT/xdUsurt2lrvYWzYttpdcDixoR7J+jp6bo7v5pClsdoWs61fdIS/WjCjFvfuKcdSi4obtcCCG9TYbWDJt1kc47m7inqyz22rJWqmdEM4ICNiT3PEl3+i98+ivD5174AgeLoklG3tUODa90cxpk0s4JjOru3veIXA2GKF7c3H83UxPYe1NYFvYIXGhCP3Ukyo4ak88VLNwT/mVh5iTrd3APvVh9VZeTPpVaotm8EZD8S6u9tt3YowlIBawbpBgDFZBz8TsXtsuoWFJ5vfFyFdwJLPnexsLQFXcODBb4/kizEkNhujBuN+CueH8GxCvCYqGLlgjtoywFUNfvwbqSkc2ijaJ4dGOW9QdWyJhqnVRCbq6GXHcGkDfkVHr9BGdLayQ+iMCynKkoUvcjKsGj5qWCtF3x9Of4Cu6jOt3svSeWaTyV4EsRnudOnhmepUrm5eslwONU8L1vvPsKAuF24AetvXhwKlr5zeLQWRcZLvaFFfoQVixlkv6QmoEc5F0O/y7ZxrrkqUpYmyikgR1oZ4mh6Gnhgcq8MMHJNXSs0hhnLUyWkshCDzJ0jI3gh6Y2SVn7qddti7WmZrrhkiE3ZZm1kCKosnBfjC2Xgn2aIN5NCqatUCwswVaMg2mCeSqRpMjD2hCjt4mHhdpc15SQlQnEe45QfdSZNg1eqMsgrV8RLroCL3x2FUIlwzTydzMeSukFT2Z8UQ38T+bKQY8cucAS9Vg8Mz088cUTw5s/oMYORJ4HZA6fOE9mOLJn5Zb30t44dugU5t/4o9tUQL09fParS8MXvroxPGbeAxmg0+DrDyjvYCh2esqmIXq2xTyx+uIGyYOT5CIcJmdlk8CpJXCnQBKsKbVrx6ttmDzsE2MBEehZl05L9hjUWdonBQ681/5kY6EkhMRz1Skjfx7mR3DKn8aKyHl27tRkToiTZdcKNZ7v4bWnyPb7Kh1d7pK9uQume+0SqfLUTyFCMCwen2PDkkk5C8cXjElLPDQ9IrTzFIaZpm3XhlzQRSwKI9NU9ZpEi587+czwq1/+reGLL34BRsThCJJwKhUVHnoPrGurPFFQaYHHOj3gEaCuXD0fBZWUAE7d4xxiM6wKh809B+8toZmgU7Mgx632mnQHUZZqadgStlkYfnQhu9UeYewnGoYWHPEAYaf7qZzfRjsapPMRw7SNr7p8a8XGvxhZ81rpYZvkmvWT+zHZoH+X9+6h1dIyQCO2nnnomHbn+7LNFKK4srlcgnRlDbp+HUIKDpyx+UNRKyyue2YLjh0qP1R1Y1gnaWdNOMdwcjy5QdOva31U/O3O8luBV8q1KuPV+hT+XFhkCdtxAV5eVQVFYwE6ZsupZlYqYSTxHzo9KXinZZtwKJ+nTMRfvvxnWXt1g1+3Ah94mYDzPMlVcY+5hlawQiVNGXhCSKcSfbSw3WR6he7RcicQl7yXEqXt81NwiT0X6cSTRsQFr+W+UyOovAMDfn3U7nODaaU4DQb6o9vKOoZv7D4Xcqgs0XpgCHh99WD9XxZLryBgWQZbj/7XKeJXy+9BMqBsg9Up50mmyyoL17iGyaRjTUzE4buvUxPnNl7LOpDGY1QXfWHhOUoOUN2Rjk7L0E1Tf4Z52aRwnWNL4qvqJgaVay3kIzJa0JketrciLOO57IbCaKBZf9fAZDbmTfqa24Jb3lh6MLz69ZvD0nucO3TduU8vDI89d2S49u598HAEuManFO5ULdxT9laJuH93GP7i/1gavvvyEky3xeFZKLafemphOE1Vz2NHH8cDOku5CuSYbXu4hzUCk9sI6UVyLZz/yWkC0QjJdXB3levi4pmMaZO9MwmurIGqwgp0qDzLkjGzxhgfNuPGb/WRv8sCj0qsyHkMbZ845h/uzqx7urv4z1QILU+6hLufFV5tq75FU+Ol5evBrlep/nX1Mmn4Nh9+/AK1II4Ob797ediBxbJ6DAENTOPBEsf0FM3CJAlWdMhAERYFPMxJutw/ce5JApnPgYlTe1x30gPYAiEZ6wjvbJhnEyr777YH2ZJ41IRlb6JablwJ5z3IpNy9br12rnh3yw8SuCWBKtDYhazPBNdrmF7eodUXHaxlJuSj4C9lMv4ovneDQNprI3w+7nou1lxiD4IWalnEXYBXkaRSzloLFjVK8a58ZxVcijKKW71nuXY4qXReWfZdGPbPj+6lXcdr6D5qbb4JLfKOfU+bAaDstAznSep9r0NZVGBrMSrcdD0dY8as1RVlHBchf3elWUHkohA2ctmYkqr3jZeR7ePt44zSiUCOlM8GFoqqxgZVk9y/xTLnqZMirrndA/NtYbY4JwYBKy8jPkwbZ62pMYvAY3oKXEuLVEXs+mbveX0hNC4gx90AXcVHGv2QAz1DJrPem02OhQIKH3ZurY1djBcbKcTr5HuspOnf1cKu6gGV4O/Cu9ZQpalJn2CjXHjZPcy9cE7OVd98bZ4eO39+uPHWveEHP3h1+DUCms9RfnmdvI5dapSMEtH4vht42mLzS9T3v0kt+Yl08LoFd5wgIpmzKQIFVuz+2yDr2uSx3QnrhwgnuPeAUs1YVVhHmDES5iMUQyNc6gn3qFh0rNS9h2fArjlPXDhMue/V4RRW9vtvLg/X36PK5Q8LIrAv5Sby6LWvA/dQ4npcZk2ewjBYodfv2dnh6Nn54drbtH+k16WP1evD8Ar1hd55iyJun7o3/OKXLyCjGNPk/WGSpMY5x2O4U2U9KUWQTHYU3Ryt25Rndwiizs9RH3z2RASnjUhU1KtkH5cX1K2b7vG3zfSwGPjAf42CmLFCs8v5jTw5dxErmCfukESjRhJihGtP7WjeAy5u0DGC3B/nWO8LoX+JNlr/7f/3T6l2d2I4y2QsLlB29uKp4alnHqf2xioczJPwgu8PV7nhdeCT3VW62oBRzdIpfQHepoGZaYq9bFK4aJ1iRV/+/C8Ov/db/4Ci+GfzHQYBwlJoiRrNq6oT9CM1l7uyCU8FaD/IHU/wMDaLtSzt8sm6UO0Cu//ev5FKwDmL1QqrC71HDpHvaAc5iQrt1Ozbl7VobZy+vwvi7hl04V5WZ429BJ/YYlnf/afXeukC2mvNiI+7hI1X22GgcUG9l3DQBN8oTlACPYdjFBQrpaGASV0Xgn7jCsmD+RSsmlPHaWgs17nhsP37+pz1+6trC7Psbepwtxs0My6c62+Xd08x9XF5f+MMofwdDLcohT0A3bnj4ZknIWNP+I2fIHHe3nChmCZaNWXPj9Zf3rXWLcK3B2BNZkk6vHAHFtEE1lZ6wSbZSkvTzNLiQivYs4b8276KEdixnquMqjCQZ2AiLBw9i/p+PVYbLSjofZ//rhopjf2hZxM2TLP0UyXQVPY0gHxIUKgoTxw/lvrnJsi8f+ny8DQlmK1xMjLWtX4Z1yzK7q7NKvjOw2Tj7iioNilsRonkf/dvvzMskxD0ta9+jno0T8Vg8RwnOM/nhX5mmSvjHFPUJcmYVZqlv/M+g4jCSQl8N3ZTH6zvscnHidNrw2/++mOUOz42XKGt4is/uA3LBCvxwQw1eoixvWW8RPk2JiuExq+UN0kEjmbex4df+0dnhle++f5w+VWSmJR3GOtrt4fhW99+QFbyZeJw94YvfPFp6r4/zuaxvskW8RFoodZKmZVhQs1/So5QSQSlhNKaOMJFZAcJqdj4fA1PTq54BW335EOt4cd5jBJ5DCRZW0M+t9rq5AnYH2y2ZQI3rm1iYDxPUa60MlJBomDT6CL96xgsfRnQzhbAeUBFr5vDCep8f+bTFLQik/DwohK+6kbsgAmtUEd36iT3T6/Fs3SqP02hIYM0awjuNHtgQz792JPDZ559CZL9GVKbiy7mKXWTe/KqIHpxqf33fuvx0Yno+HUJ72xqrmfApyaurM8qvqO1VFS2ssxrYgv3bZZXs1bzjljKCo+GMbcv798zbq0HHQ+RuJIXvN64kH9o3O07HEf3Dlz4QDO556Jg9edSf6PBK30+Iv68z4ZldEt8dAAiZetafbz9Xse9Df8eF4b9vv3ttcPQiSVeHNf7YKP7yUBnqIEiRa+CqvXoGHofb1c2e4qkrW08rYJCugdTGtn76+ygrnT7WrZ1HvMeKhu2AsRZW1c7wtyDjHXM31OpN/MQ9pO94BiFTDJZ7SefDd5s27QqwFReyx7EU9TNguL8Vuvk75Klt4kB4/MKb79RGCQ72n2e0hSFZUu5K0+sQU1SBK2CaXps9qOWNUKOYkyp0e1YG2tDYVikPoWt78tOTzannoZByHjewZv3Hn6XzaJfRGi/+ubrZMwuxTy2xZmBRf3HHSx6x/zMs5/i/B4a/uTP/2L44ZtvlHDiHh6nhr3W+OtXV4Gmvj189cvU4kdQ9KzZ1IxRobT4Rd+HvflD7Q/PlgFh5gR2g1b7+DgVB6uUVH7rtS3ySGaGx5/gO45NAHvMkWV5DBIFFOa3MaGRNzLqjpwkCEzD7pUrBhmpikqFyZXLVLe882B473u3h6dfnB9+559dJIHx9vDGD1eGK9+hBgpzbELhm9+n2Q3UlQtPUCCOhMZDwL+rNO24TxD1MGVHtGhnYL3cR0Dfo/aK9F0bUZvkc5/kxrtgM7a9k1VTTZ4rXtEhrYL2ProQ38vEzOHVmrCoDK4LkhgDWOIDWUfVrYhic8Pk8bJ01u6xmfj3mdNGxE1lnSK7aTa4ULLBWPwnLx6lUcIFApm3qO9NxxmCH2fpcTg/TWSXSofWypWtcJ6qcHaLuUxn9XVKzU6QHfU4HepfePIlMvYuJGljJjiyGGgTkDFXi3c8yrrMmXKDlrt50KNjoT0dP1ZYE1yx34LFtVT7ln5dySB1te4CV/CqLNzCg1sAoln44a+OCfgOoUQARODq+lZK9Db8+nGBNj7u3HMblwyWEj5741EBpHNQDnqjETbmSRfGBwnluOFROjFvc90ohVh6JXi60um8+G6p+lrn7fax5r0qIilt4N+3l28Ob19+/SH822k6skAqupZplG99x7hy6//es+73PAvXvpt+Zdk3j8evboWEKsC7h/mWcGh0ywjxrGKxRcKY6fPmmLTuDJLBMS8J+OgWcq9E0Xe8va1nglJi0mLp0ghbQFO4KlhnwT7uO8sPV01u7DIOe2iafL4MefY6Z8H94N8pruUBj7FRDSu0YF3zNIHIa7XfFaipG9IDlMmoTTZA1iYU00aDzVXdqymMVdmf5YHsPXxda/5Tz53nzE4P3//BK8NXv/ZVegA8y15xrbUe7FEq53x3ePrZp4ff+Xu/M1yhEJ2VLn28jmC8AIQmivbqO1S/nP3h8JlfsGkG0lAYyuBp43hH6Lfa3zmLkUfCasWj7wynnMVxCZ5dixC/OZDMQ6VKvL+TkCmOY0Ba7nUdbv3i48agypLeOkmQ+pkpukHp7dMpZ/4kDYavD5e+RVtGxvutv3xn+Cf//LHhC186w3sWhz+buzzcvPSAxuWP0dKQWkHUXBnS1cgxbdCdagklRpcmGi7LH99cBza2IZC6lXGa8rG1vUICEbEByB9TQCtbzHkJ7tqrZT5WtKf+9dEeo0zMkNBkICQwwWQQpISRxGDtdUcjAKiBqRlsCMZ4Ai3JDqPRLpIpuUDaqRvx/Pljw31anqUuAOM6R+PP2UnMd7KfHti+68SZ4Qxp1PPi20+fZYJPpx643VF2yZM/TuXBo4+fxkKfBoJ5enjpuefpRH0mLqTVA6usRwUu+027C0fV/5iscpt3YA+8mwPhJPZH9Fws7rJwYvm5F/hcCYyynMpNjdjMYYnLFuvMTVsptP4jG84D4dh00/t187ugiS7I06WExygwqjXFd4p9dox0XJD1MXsgp3CJHkx58mMnZeF7PY7ebDYWcFv4cWXhdUp4FKTTxxN5G0s+M1ACoDFnypovr6MEaqP9yVfHvVeR9Pvo1/V7SiCC/RHE+/p3/oha5WzsBtI5vfOU/H2WwGAvHjUeF+j3vqc0nPtavE6l3G+pZw80BdA9JyVkjz90umb3Pqx1kmBiMwZivPp5j02Dk+Sn2+FJiGEMER7toQosKoT5K0ydmlv3SFP7ZaG7m0zSctMIGUjAFW7h865pmgrzCeMFncOvsJTNUE6ewXlhYP9hQxATgswfKJ561iv7rChr7qXU7Pb8NjpeLHPPQ4O6psS9We40JHceTDCx8YmZoDFCHoaMIuDZ2089/Qy86JPD2++9O7xP85SLF6vReSAPlRLzmCQmHi9R2uI/+Y/+w+EP//CPgBvov8o9rhIApSBAyA/ffeMqRt1pWGrixX6lMQvjAXLEvbfMXPZIhHtsIwdSAcwYOs3zHAnx3KcsEyzkb+wOl95aHX71dyaHr371RDJzT5+ZGj73tcXh5T+l8TlXx9kHkp0FZThBguBJkj5JiaJV5PTCFvj3+nDj0s5w/doaljyWOx2uVgmGYpOQnn94ePaXnoWcAX5tGj2C8TZQyRpJO4cQ4Fcp3/wuzR/mCGA+cQEYKfg2EBrNme/Q7Ps2sUFl0zosI8tLpFaMnkwLWJdhIbpwgOEw2oEP/9F44M5JWW9O3py94JA3BOUTgLLM7XkK99stRgvArMFjU2vJFDxM8o0BBC2FOVzCE6dPRnNqhZB4y+9ViuCDyXFojtHm6BQ/Cyz6qSOHcSnsiILrgsC3t+IZJnNx/gTXOk73i8eHx+jzaGW4Q+JhOazulaadmkm8H4dWAd2kvdYrb7w8sppLCBCXJSXdINp+bLM8Ya9bllAX9GFnRHBXxx3l+BpukILaYjtJrGlwS9LXm5AfDxh2QacAL7x0LJhZBm++W9hB2lHTTaNVCkQkhQ7KT1lfBVN0vN3n+vj3Q0jjQnFc4JYgxAZ7hGq5FwPYUyZVXL/j5BYNUkCPK6du4Sp0hEdkanzv9W/m8PX70fp5CcvticeeDe47vm77x9mt7x70HYeOusczLsxrstpaNCXe4Z4O+fSA8sjLTLq50EVZ53mw3h0KU1El43WfNRTjbyTsWskC71PhoxcTvLku1hPGqiuTdaNlreg6W7aWz0grxdLxOZV4n8fqM1mc6m6NGeg3QS2y2OubUBPGVUkvBX+VsOUzuaeWjaq3ppfh/PDeBOsb3LdNxvMOwnuDWivZH30exmSEAVQblp88+xiY8rWUMxBG9x786tyqnhf87J4N+5nPfWY4ReDy2nvvDHcRaj989a1hjXaH92AlLUO1e4eSxS88/0yaZ0gHFhKNIkgJBI0Exqi3kAJZ0Q4jD3f/eR8XZ+41KcQ2Wbp9fYLEHpuVTNPA5RR7EsPj2H16W8IueuYoLdEWYZQcT2vHFDZDYc9SqOybeMPv/OX68Be/vzw889nV4QffWh9uv8K3wMp7/QfvDZ96kn63JDSZNHb7zvXhGkX8thG49tn99h+9NXzvG/eGC58aht/+bZQD7BtRBpt/L92l+QbrMAOUsoYC2CD+N0kPhCTaBQ5QSX0c27vuvPHAXYQqzL7BJjtOluVFsKQlyidaTcvklzn+70kqzT311DNoJ0qMIiQncBdmYI3MiM+ZPcmKnsE1SuVBBm3tDLtXHINas8bCzVGtcN7CMEdmAP0JTLBgk2i/bXC7E0Arc7xvki7PCvEFNNqcUWkVS6yRYlEU3bEekX/NAivoo+5jafl2MrMaEpBNP4ey+YUXvpwkEMuijltumbhImj2/LFCFbAH5Rz5MjLHmi9+TglwVSOrsCT/eLbZu5VZAb8/a7/UcvFxoifmpy3/3je+kPvdDHkPzLtzI9tzr1/L9XSD1JhHjQm4cd+/Pj/+u1+t++zyMQxneS4egukDzO3sSUr/+eBOMHKz2uXsI8PsRCnVvwhJC/V/8zC9RWuEkGxiYTU9oZOnXOPJe57dJ/q6QClNu6fVNeZVC6pz49j1h2ezNd8fQC5ev+tP9R0Eb6Kldr763YJ15DBUz7A7yiHqdk7Bh2lht5BBWi0KIvV/rnOHVnnCPam05htym71UZF8Wv5D37Ld6Bipp/G29rEJ4vT8l5d75MtPKzoRtWHZPQD3V1IsQVxBUn6HvafInMNUoh/Ox42XCrrclhWj8W5IMm9Mf1lcMQYlukwugLz79IieZvUXX0Zoo3lbFeFMSiIRb0aiE7Ff6Zs6eBXTiL8MCtMvl5esy+iUB/HSv+Lu3ylmmZaAnYNYN5XD+SN1uyvKRsHs8g9xNjIfVR5MOLW1fN9A988Nar724Pd1+kwBUNZOYXGcNh6p48fmi4eOHk8MzTT6TO/TTwxzqVVLcQqotkif/wB6vD9dcr4efyy1rkeBgmMp5g/olDpt4Tgb8pZOQ8MMjNW+8Pt7nO8VPnhqvXVodv/RlBW+KCb/ORN55dJuFrhrWh9R8VWY1xLGBAemvSVKfJEi29VN560Tg1GGIifMjNPfzSyALP0240Pit16eIFLOJdum6DHx2nge0CUcpjYHOn0FxTtIY6BfC9FrI6kdq2Kcy8mm0ugJpTVskiDRpIeRgOy1NFGyk4Vnm/PSd3OdXzUAvlsxqJthqhgRCqSXKTHHAtGzdiDisDC0jYrToPxsM3s3frD+OqCpAjlHA8S/CkB0dGUEYdp9HDa9TB93fRyaqmtBYrAQrdXDd7uE57FlvHhBUQCu7OAhkXGnVOC6rYsDCTgokvWiaw8ecv/0lznWsoXt5qc6fZHMI0MEcfEkDpbRgcvd4/LmzKStm7qz6Gfs++PxZsJLXXqfeOC/79O6jw04JWPFDjrJZuKcfKC3unLL7xSZ3hMJ899Vhej0A2DtAs4DIr9+bSv3vS00gINdMz3nQEcX1mFNAdm4NupXUF8BB7p89NdadugcEeTCoseY59niqQHxBHqe8vq7Bz4lNTJGKxnu5BUWuRVEDc+IkKvaC5wq4bDt0+57WmhMxwzR80GC/KzwJJSQIzgFrJPLXsTeAruJuy7GZIV5BJ2Q/LSOu2vAAPllmUaUSMEJehkJjEviJRfX9b5vnTNCw/fvxIOjDdoVXfkUWs0CjamoOcS2E8BxClRKleDLOzJMEcPoLRBEvjLDLlxWfPDa+/8TrJQTeHJxGkmT+TnqwrYo0lFVgaP6sceNlKk5wVOfcl5KzMWZ1/xmjrD29XpNqRU5O0aDwLkeI4FvIWDbGnhl948TyVBxkPJT+2OHNrCO9bN7egN5+ABjk1fPt/B2K5yb0wl7OnDw2npSUybgtkQf8ePv0ipZ0p6LVy/xpUQZQhdOdt1uQaXazeed8WdwxDh4Ffaxs0Y5fQIUSK7Jy1ByqNHFyD63S+unTpLvdzmncKrVaRttTD6db4/gP4Af/es8AVSg1AVzicoDnwFC2q1tfhZjNbxyysjzBeN88fGGGBG1mA33j3HofZurcKObTJDos9g7YxjT50MjSvroI1rXdxl6TcSEtcoDDOLtaKzQMWODDB08BWobynL+I0tWgTbQZnrDZKIVKVklFjuYmbEI3waTdYGPdBwr0xUHJwinGR64xfIxdpEEoOh0wXhU3DgjNHFTWOzgwG2Ivw1Hu0FGK1uqkDITQF1Ky/Sp91lxceaWLFlRuXqEZ4e2Sx5upsjN/+xd+jmcOng292C7oOrYJLBkK5yuOPLoRrRlrwTnc8nyvcvx71ejN8x54v4TMu7EeuvQFur+H9Rfb3iHlXnRVf6Nbx/j2X8gEKk/HlyVqMccyd3VgkhSEXxFFCv/d1rPHUPJSgrP3gp5QpBcFUcLGYGzVH/ru3t5uyj2Pe3wKMMRKqzrMJJA/zHMbuZOQ5tQJOjj3zK04tXOG0mg1cwfaUE/X744nVGIwV9DFVSz6zG1UmNT8pQBWM3NtAecPf7XXPFWBhi7VdWDrYFG/5/45jb3WF9fyuBKoNiEa6w0WmmcoDvNCpQ3b0sXQFiTU9E/OhzVT71+sIo9gicRk8+wY9S48fOR0uvPBMxaDqbFoPxUAkNUsRcAZziYfBgFikld8GsYVZDLl5jD+pi977cQy4Ove1B/QwTEKPAZ4kIQRjO6eqBfH+2VZv+WEzZWzg3O6Vdx4M3/oWFjLKZmbe2k3zxF8eBxlYJ1X+bQTr3az/8tLu8IOXbw1vQBG8d5MrIqhPwmI5/wIwL3zy2XvUzj+8OZwjKHrh8aPhda8RCZ2ApSEpB94F3gvZqJVcnVIhp57gM9zjW++u0CiCZsnHF6Fjk1B0jYEh85bubgy3Lu9QrgE2TtaxGzvZ9fuPzYf+exTEjEh5gFDgZ5og4/F5D8/6cHQBOiEu7zITgS81nIA6Yy84031dqDlxKqAQCe2m99po1voNk7RcW0t96d2wVAT0TcGd4vri4RNAAgsk5mile5jM8ps4RH2HB4tY5yewwrXWrXAoS6DEqmUaFeLFloiZk8Pi2Hsquvhcd93333ms71g/buwSskl6cfPoUiv8dQtR/dYMdzIr+FiCb9KuGloaaXNVB1TKli6p41N4a1WXFVI0wQg5XVeDnE2QeqjiYXhQ+c4tm52OLaPe4hkOy6995beDDa61utl7sIl3Vvzjbol2i7v+3VtV9fRk4TEViXMjnl1CK0SwWKGVPl9CsoRd5GzmstXMSLOEJnxbILDYHuUye0/hRyuoDtpyCls+n8xKs1Uj1Aoe83+lkBtLxL8T2PE2K5GphLUJB3tKp2rJVAA2r/tfG7hXDrQQ07S44RrU2sm+JbU1DELG5dcbKGUnpTRubqKvNUf9UYZDGZzeq012Ezxs9T88B6o0Ox0Fg+baNqL2Q4UPGzzkXvjeJPG4Hsk4VbIbjCRpxyQgrWEzS8XFheEClXjerBsQU7eG5D0JLWml+n0WdktkVsXENcSS3QtRHsalHJ9ZoEsk7ujWV4szuxIlG3Uk/uvyEcsqZP46RgPnx85fpEP728N3vv0ykMNRmnecjfC2gJZFt7aTwGQqlNAgn9NIQ/p6n6kzw/lZW1+m8TgJM3PKEVPQFdxFp512gRjnFl2IJqwSAEc5ay9d0uJtPGaIYVUlzw958NaVa7vDH/5vJNQs2Ox7GJ7/ysLwe78LIwVY+L13l6ieinW9Okkhq2WCngQaueQ0wU3zXIwN3XmfzmCv3MSSt6a8kwEn/lRlmMrndxnu3ZPoAf6NE3PjPZ5AiE9YVZVg6qvfXhtuX6Ni4bK0S6Aa84n2mLMZ/ITNs9O1SgHnmhrUbCyiD7/D0auNIxATJguYOnpshhkubNdr2wTZ7y1Zl2RO3bx1mdRYu4nP0InlHtRCrWdGZtCTDWPNAjs628DVOkOzZlkiqO5yt8cJYPodR+iFqaC5TqPaOV6fxr029XqClGJUAYt0lH/PJQOushNLu+ewNBc9Bz4bxYWuDR2hFIvjIC1WtKRyE0so9PeV8aaV3/i9UQ513Sr0VIfFLV5tsfa+J41dk8lX3VICLzTs20OrVVYpe1qEFErSbe14LJdMI9d9Es/xBKrRXWz1SRxCVS/suHUNaw/nL4u0lE23TNtzQaDG7JW4vR5OBcDe+0cZmQ237264rqt0x6pH4q003E5JFqEW006VUlmd4VfvCb6+2/JMJGApZHGiqnRY0zsOvfTWYxl14wmLF9aaFdSRglFZz4Ztq0RbwTGr9UX4N48je6MFw8ptL/ilPLb6DsdgkCl/Z9BVqW/8sbdUTeElWaYCy9kh7Tod6nB8saVzk7UHg963fdW9wZqvBv1lPzohGifNM27GQFE/a+FTmydelepZA8l5McCosjW13/rUdT8qzJwYqx8Ce5pos6XxQODcxxze9v6bzapy7U3S/hexwl6CD/7eW28Mf/XNl4fnXnh+OE5w0O8tLL9VS3T/uS45twpoYgmeDWtjM45knjLIWdgR0yk5INygAVMKuAf5o0QzdoKLaVDtfZmQdXBDh4dXqf4Ff4L+vvX3d7+xCqRyDSh3d/jut3xxiw5j68Otq6yHRA2ClJQ18elh6TUSdtpCL9/lvo4Nwy3qM61S05uObFHgt8G6s6zM4aW3sKrfLpmxg1C/9YOa5/542EfeG2k1nXaPlQypqHD3oQ66o0efGwnwDgu4yFWCtLLElhG80mXOXYDOx4Su0q3eL1mHuF4UtGn+rjrWk/Mz4IcK4EUCQYcZHE0W2gkQK7eQuSm+tk8Sv01bLwVum4gS2O5ja1K0v9uYy0ItITo67GOHwLfFjc7mz/89fLf9qfwOtpHX3fDJ+mqPEZ4b5kBt4L2DVcIusEvTEbF8Yo2Xde9VU7xKwdtNNn7nT94n2ySHOoyFCoTuVzg5OM31j6LKIY1ULitRrDFc8hKcMcpyOz0Y2GGDvUCWOjA85Lxf0+9hi2ucVTIe0AwfuQnqDqv0Oar5K4ijC7BYtuPKok9sUxidh1xP17z36oTlCZRQ8pFgcKzTel/RyOo4BBBTKHeTONMjFusnjOU4F1UyoKd8JwjdPJcYK/EYKiZReG55KS6uNZv3Nw6o26qD5vt7IoZGRfaDhlQEV+HWMRVS/77WzNtNgDNCvhWs4qJJrvHjrdiZR6bqvDQpEvul/12ZqBXw3IPFBDpKIblBdTFUUtVowLrvfrmeku3x7kLvs3yACSWJQ0hCkAZ5gOETIkyq6e2kjd67lJZ94vzZwKQJ7AORTCGIYwB6rSyO+8sAsXNa9Vi0toNdM0arI5qRaIPqB8mBKI93Ix6DLdQq4U/YyOCtCTzCPixKBTTbHuhb66P8Xrs2DP/uf9FgnByuv69CK8WV1ebSK1dq/VzH+bPE4cDA715jTjFcz17gTGMoXwYu8egTFuQa3B6X2FnBaPFSY/W19kmeDxyegWgNZoOjbUfXAD4GjNIEeAmC2iK6LHA87TbBZC/Qk9EgpXvAAlWL88fAws6lzom9CG0XdOzY+bhA4rIKh0ngD2vRzrJQpui6lkfoDO0imKQwCQTj4TMokoYGwVJJMcXdCrbb6lGUS900UiwSg017OG7HTseDVlVKc89OGp89r1ThyP5fFz4tSs/3dYy2hEspjNH1LV3LT4qg8j1W0yuLS+Ht2IplENZMBFbxVr1SBBN/iF9auEhBZyePnUAXTfH0wTZhHMZLE9phZhzwKLnuNzSWzr57bwZou5e6QD/4QhrjeHfP6OxY+QgvZzw9gahgllo/4aUuVLtwH8fO9w+3C+ekitv6LJznUjZCBx3n75h7BTurc3o92h5tn+lzGzzcV3k+3VNaVcrJ7KWytn2kS3qj1KUwV2Rk9yJMcS+ISE8iCjRd1R991Hf1zjAFASQ9PWtReHMErntAQZu9q5ZtOt0L6PkkcFjYtfCQQr/eo7dWPPRYzX0rZhUV2kJ/4ux7Rdf01Kat0Om4EqtwLpxjriEzxs4wzLNZg5sYUotk5dkQQxxbg0NMusWy2x4pYXXlxvuMzT08NSwCo/zWr35t+Kf/8B8E4luhTPQCXdu19nNLDRILnu3utulvqi+W16AjKltmgi43ApepYS6JrmWjSp4oI6NWeiQIeWqObMIEzlVOBx/vA9dq9CQXu3tld7j7QTVlvabK6giMwac4p3QT4/YQ0Ah3YBVzYiz++M4b8OhvMIylDP3He7QSCrXoWdzso4/z6GkW+WBRnAq2mCGVaIaGxTOT86SF3k+3eINIpro/OEIgYv4477Tz9DSQyJEkt/geK2w9eKBrZGqwpS8N2hAkAXOzM/P2AwB/rHej/B4VN1iHH7YoXDUb69w64t0C6XZ3nYG43u2xF9jbd8vdEh9/mkNR/O+ejVcvlvCrQ+MBTqcT+yimhvOeYE33bDTmjlii8IsjaZCOc2e0v1LIex0UmQF6MrqTJt7U9+fHYJWYe+cM9sUbG6+jqvdqVZa1WQe7gqbhcXONTk10bTr+XRZ6LW1e9zBE/hcmGjxSq17PYU/C5/2d2tetsRIq9ZlxGmTNXWHL/XfmceQBProRnWvnqOqg2PGmcPy9e6h6ypXE0ZRLE/KZi1aWVcEdweQYxLldjzY/VZCr6IEJEGXuDYYZoyh82zHaiCD3Fcy8cPtKeOGqQlwKoX1lS6MbozEV8CWcorBU1AnoVTKTzYnThbytcRpq8P21o8sLKv6vgr3iMd16LTjJNHrotU1ZlgSv52tNq2TDlAaEysthO496JFrdrfZ8ueflTWhcWFPesq6JBSisfA6a7A7p4FNY2ceBSfZth+Gt995ICzKNtsOc83/yj35vePYp+k5aCpfPrkLZXSCHY4+xYxC64hJRQo7H4eW+hH0kN1SfzJr3OmNJ6GlrV0wxsXD40ljdygoDlxqEeW2/wTN2bj7pn/bvPXS8jsj6ffaMXSscFwmNy/LAwbbj3CDMR4Wwxr+sn+GD7awDh1U1cDReC95SNqVBx8e4iUYjVCAVz9IPKyAWCVimZjEJJIfhL7oBFojmTuzOAdqDVAOXLFIicsI730Vzeijsg5jFq5KQO6ZGsYm3uU4VNqcOL9QdBb0NR93k3oAQuvUC7GQ+YUsoqVcN8zKYJDxTNKe6tXFudb/XLog80Cn4/oiW9rNtmtwsCrImILt1mdrEzcory7ZZ5rryzQoa1WVQIjJIK9NV0kStXJVB3cPIe+nWjnt7TQ+5lmI/LHt1ttvduNk96g2jdVHKaNPqr+fzHQkKFjNE6TESzBlbzVfnNmdlI2zdmFp9ZrSJ8Rcs4fi64Ow89u721zx5DEsg9nFpNY8CqwkmNzz2AyykHp8ornYJonEFst/yj6XvWsom4V4V7rOU4owb3Zb4gYEzFietthD8SU6ylMOIWlf3XMqtPLpag9oP3nfomArLJjyrV2ZBHvsf2UEOXgHclEwJ3zpDPcDe56kUcLGXFPB6taHEte8yWUgoJv08GYtena51fY9TXpmbWeIxQV5Ijl5EYz7ZjzFNhys9PRX+SitxrwQFVRQIXVkh7le96s0WD1Kw+3OWxr4LGFxp+sBnFfI3l+4M7199lxr8F4cFAn+Qx2Ff3IKKB0kBLOHGzavDczDWUu4VE9YsUWcjAeWmgDy71QTamIccaIOQpc7EuKVt7hJITWNq80lYO+Fa19i1MLGn4AbJEYWh/6Qf6DA8g7rqKnCKuLhN1yOs/VGUfdiX1nb6WI9Rc/O9Y98k1Ee/TLPAS7QVoUUBoQXK4Ua4TmKBz8Bj3MGKvg/WHQiD/ybhVc8SbHxADdxDlpb03DCvs2BMBXso/C0HCcDEJjIQocb2HM1DQYz11fpLyr2xuI+//b4JFEJSiGO1lNVUi+l+3pul4MPN8urWSZ2tRyVIjGnf73/tt9Z00pgbs8GNXYWyyvqtQyNboTIx5avG0tJ2Cr5Xga9qCaXwKGGeLLmO1zaBO44v7pV5dWMWv/qR1c91yxXPjwFVfzK+gh1yQJoF2cyYMCIy/hye8hJi93kt90UTAqUMea0FhUbYf7Py+xyGN9zm3MNU1LxmMWrFa+HqESSBpDbeAdPfni+3XkZSH//4+nndPjej7ym10K5ZgjnJU+wdEyISkFSpaKm3+XBO0w0neQMlTgKHuJa68npKWPPuU+9vmmS1CsJVmdYSlE1jP3KWynMxoaTwbgVvNXbo+6fDfiNB43po0PieDoW1dS0vr4LxYsRam0KYQiJVQpZ7NM7grouxUMoq8hCFwe5JU4RSzN5rBekV0Gmu6x4nUOl9WuZ0fZVaHHa7N2lE9g73YAawVvoJGBWHUZA3wXVjpbOk9ylM9x4C/Euf+WXg1IXhD//Nn8PieGP4zV/78vCNb3x3eOPtt4f/6/9ldnjyqU+1/WjlQIgNYNsK3t44RcNDdo7zZckA50YihBQV4ZtJPXigHZ+3L6VsEzMW7SHpFBn8t4lGqih2a/djCswPFYtc64EC26PIFP646MhHE8HtDI5L/o95TyMBXnajp6/cyi0m1FZB0k92yKmfnj5CPZRTTKS1g6XK2RtPbmlp0021JBH8dGtmQWJxs5F6QoaRcUIDLA4NGZDIKxT6V8BMh7EC53xykcUm6CkLlOu6FcXKw8XOJg9sGOnQBXf/XUKjBF0E1Qdo6LpMw6r7DLegT7S7wSHdcQVUXt+z+svNrxZSNVceqLJmRzgt9DALIRn0qQayo6vkPc5LeONYiibyZBOzKasY1aOPrnRyX6G61b33QE4pIuVSHdpy5wsz7R5BWYKOQ0FelkvSvZuy9p09KNqDiF3wjMM2Wo0+OsTSMfBuFabjEt9lEspBCrR/Vrf6UGCUEkb9u/vdjwcxa1211LVsC/7RYs1axDK3wWxxhYNf46qleVRgiaLSRenlzt1HCu9qZWdmr7EW2/fFMnT/RCHka2qFC3d6+MGYXbut2WrYUeMrPDxsD8agJayU6Upx1EZMwRyLugpCFHQirNCCkSqGBL9VhkIRMbMbxU81xvMG/eNJ1N6quuL13db0zp5UUSD4yhtRgGNtIxyFhIzB2PptE+bHGpQ4Le/tbbIRU3J0i1yPyeEWsEF/SAG8dPUdhD91bTjby3Te+bd/+q3h5e/9INnU6wjqP/6TbwxPXXwqSkXq767UuAb96aVZLAuVk+CkhbxCutVjZBZcT2u6zNowmd/Cl/NhxCBLhDX0RlSSVDD1DJRX9jGl3KOrePAzXvavR3Ln+8sY3NtjEW+M4QMc2APHPBLgbtiy0NxM8Ltp2zRvAfAdstKwiqUZqZG3tm5FkFXfP4R0LLbCpgzwZfNEgDV+tRxWsjIfbFf1tNkZgqI5wGtJwbfoucHQHYrJmHlYR7BlmzVGQQ5Yhl+O6rjC8tlx63FH7NFFPmiNFXhSABPFbpate7z93QVXWcvtOrmWwkBLvRoDp6CVQch+8K3zHGve81bBJw9JhhovogKr7ru4yMxviBUK5KDp+2RE+2fuWSHBrwTDmlDYc90VUN0zqVrcnR5Z8Ec3VXxPCaSuACLYGmDdFV8fSBfcIwhnn5AfF97ds9hTpj3W8MGnpkM2Hc/v69cDot2qH60t3681F3aPsxFjoNzyHvDsbes6xFHUw/LYSgGIdReNNPOQyXUflMLuGG6fi85p338XZeS0/dE8QIeUsgnRw+Xhjbv53bjoG7cUc0EdseJzaBHeZAxqEXePLvMRhaKRgNCXGhlqadWSSdymWbnhT8OsyLaKouJa8vOZs3US7zaoyz3F+02kWaP+kKUmEhzmLG9S0OoQxtIGcaq5VDx8+K4lIlhsSov9C1/64vBv//CPh9vUNumPP/nz71Cm4rnhS1/+MlS7otPWvm2eotCQdU+aJ9E9lIKbjNdMRynG++CZNbIfZanME7h0pe+trJd3xD0rMyzN+rfhkfiYd+gyWFLYffBB7usH3PCYAK93aHSIN83Tuky3Z3YWnFsrPJg0hcuJYrvpJheOJ4AyqsmdoBo8cCPjWpng4BvUg04BHzUrZR2FYiAvJZg07AjBEDRhEe+j1efnt3CRDHyafVmF8L0x11jrKYcgGz8ydCTivN9gp+2ZUNLc3AfesJaJsENZyBE6Wj1l24zYKxFKic6XOq7CT36mDn8qr2WyC+KolmtNWAqrjMy4PuCy2N2Ujlf3Wyu8uoR/8Fbsga14IL2WdLMKC8utuhEG9LrgUbGWtV2P2g/NZ2hfNoItnIOmhCqgWpNblv6eYoyVbtAwt1PsEx9d8O4J/HpPrOEDHr5fi6zj7T2IOy7AxYMLomk4P/dbZQMKQkpmocHDBL/3BHjH+6svZe2Vrly6wDMRyyhVER0qwFx3XEZL9yb6jB1kC8Uobh5TCWrzJkyUakwkLf+kzNcEdA/D9U838jYv40oybKC2Zz1nMQyCSLV3N08rcx5jotY31Lxgz86XZw8mSePCpYk2/9nmbVuetVg/BplwxQatDqMUnI0WwzFBpYq27Z2l2kBuC79POGN7OEqtozNUCL2LAE9WKet1j2zr/+lf/yFVCh8fDhPQlICQZsoIWoV29rlxFpWnE5NmutxHgqlkv2qlN7y8Arh6qUWz3RQXTy6EnkuLA/0UMPADN+xP+ckykMbW+RN83xiNsCiAWgbiblrGUpvWSebZMred5V4gHd6eb05stLe7DeQ/ZSpZ4w1ctTWsaavVzRM1thavFpBYV6odEvBU4E+iEOaFTVpN7IXWfmiGTM0HwDUKoV2bb0ZgFDIfG8WbbcGn7K1Ip2ahZiKyxZuUf3Q2ynryx/us13MgvbYBSfvFjY50YabBnGNJMAfdYvJoBHP1sNmUtpoVpz9lLDqfszJcQRpdUEiT8gu3dAc9+GbftXZq+83wGma56OnOjfLo9ZG7Zew9jGvsLoBGFl+sfg9342k3ZVfCULipFGTglCijptTapqqZ9UMxEVvArxguQmm9O3gp1XpvkqX2RM9Di9BVm98fdourxVxFYfidjjUT4bzrrYh3C1PBilL58YqCycCxXGi9mZE3klXSUhePVjhV0+saT2HP7mufD/yloggNr/UNbYouiisLmwE9solC+2v4eRUr8xiU1f2A4LyPiHO5081Crz3kPLZ63dnL7jmlNHNOSrvASMoRMxEJ7iKQU55C2KAJwMB78XwbXBaM3zGWl5GaRLmuVUDXUrZiy8Al1nPw/3yLbBWKMrWCYqEksret2WGGta/tN36sm0L9DC7hfj00PPep54bXX3tjeJb635717373+8Orb10a/ud/9W+G/+w//mdiSrlXaYKu1bYeO8XsZM3MEwgVvBL62SRyOAke7x0sUPSuM0w8G5bWeJAuQbZctFherWF5YR9i9Tx67H+2n8nGrxn/JHfVBLiYnNXXuITwhxcDzxXH2ty8W5gW2FZKIErMhxNqkacpswIN3sUdrKhzUtoNLAmpmJ9q52Os7UTWYzkUTWyWQKVBP5OEZjUiIOtvk56fAwJUcYgu0CVAvH7xW8v9LXpPHlpazeUY2dzdRT5g2ar8poWBLMtZArfaXRW2GoXUA3ZxZb0VLcYQocqwdYpMg+dTm/EutLKgfJmg49jaUlR/ReYSq6+ockVnC1deYch3SdU0dVYM8KDHniWvVepZrcPqT/c8ujXmPIwsV31gecb+Jz4stBOB3TIZ48rW1dPMV+snwrM95z3GyukWer1e2k/LyNFWgK1DGLUeCiOZOL2Z8sN35RjTWUaYTEvdQB17aDrehIEqBY99IFmjBBxN/a7FdjjitgreytCrte8B1UmsS0dXlFRzC3y9PCkvEQ8quqDoosmmNVMYNlUpqDEF5tgSjD54XWL5s76zMKY8B1WGQYGFd6mHYBmAMGGknfaoiXdRdxORVf+r4GbOrx5e4eNpaCyp3F3Hr6p94vx27Nt1tSen8EsT6jbX5SeGhM2zaSCwTXBSge9zcybN4X2skVW5AdSySmLdOpb4LMLR7bKpJW586wDvSbR6QnjGsw9T7ML5MxVs5vt/97d+dbh+9dpw/eat4Y++/p3hcy89SxvEX0BBsFZJ69fgVgYoNdxPFVxWkVpCQ0bKhM2kuZbxoAemqbsWvpexGzPyHjWN4tlnrxwQmzjwBP1sP5k8kihx7ufjgt/t1vaKWbmtso89FAY5tLqtvlf90x4gXGNhIYDdgHYpj9CUUZDayQYpyLIEFnGytdx1eR7AUNGrXQDP8kBNsJhiajRP47uswSC2VQXqI4wVAtZrYPFyg9m4nf7Wg4tleRZ8ETO0lE6zeCLg9q1dsyXr+TIoQ5NKLRKDPDahaNZ2YbC12VJ0hw8oNHasnaEwCLxSQTWv5OfLayjB1+toFFNB1kDRwIrLXCnpYYvkvgoe2j/gHO6Gv3foot9ft7T3b+RumSc93VFHKNdcpRm08+P31QVHM1TuvBZja+rQ57VBMV0v6ZJH3QViKqissP1m4XOdGRv4xv9/1J6IGMqNlRgrJKLmNMvidbleqIIIEtdEd9rPjDDwdi/6/xUV0JqVqdSSsqKE/foyIsqQqCQqsdkSuM5DMxb0OCMw/OoaSPZSm7/9IiBCtjNe4q1WYE3FYjXOCktJt63zNB587somwcUYCGICTAeWr9ZpZYWGHR7r2z/C65ZrkhhIKW7t6EBF2R8qaEs4ILzNReB+LRNr1rP1Tvy86etCmys0HbZW+ybCWEzcM/oAHMM51nNZvY+At9H42E37fTZoibEjcgYM9NQTF4YLF84Nb7z1TlhF//gf/v3hv/yv/3ss/u3hv/kf/3eKN50anqT2u7XEF7HQV8hnNzipnPJaaXpt8N6GwC2kVeQD5paxamip6qYsseH94tnYsm6beTPAOUO2d9OEj5yb/ev1s/zvfu5HUNknGOwYBl7btj88Sx7QKayM4NAGD8iw3H5AHqk4ojUO+GvT6oIIYN8nxisO7qpgT0eoTQGVWPzcbvWzc34GytKDu0Svb7Jg62SPoYGnzhEoTci5XFHcZiPmkgIyKuWbQsW/HxE8ZYWNxi11Ksrl4Ud9tjZ8XMxcx6zICnjmYDDeghIqol+sjBL9SZ7gjQoslZUKZq+LexPUzlezPlOUns8VNa2xWxr23hv/9j6bHQrqI45ToSXVBFq3NMeDtR1D3fvMHibck0UCITScuGOMPcA2gmEiuAqq8TESps3a7/NWqen9TU1ZKkCC49Xzo0qE+7VnG2SsQz5T9ZyLp+w4qvhTCTwFWPjlrENeCz5cQWcPbzUQ3jNYcl/5YFRB3Uvuqd9PM0yaUuoJP8FvM/ZiLdXc1jwknuD394uMb6Wmg0qRNwye1xPYFqpJoGbsA1r67skYSPWTHAl+l2eHV5LgvR5B3Wugt6JcjS7UQti5jvVwtoEfTJLxy4RAbB68g2CWcbKxgfWNADd5zlFN4gWv310Hq6b8qdARRli43+Zn4lUbm7eXrYzftm1H36sRduv20nD79t3h9ElgVc7lURq0fPnznx7ef+8S9ZCWh9/6ja8hzN8e/uhP/oJOWEvDv/z9Pxn+8/+M3qecnVmE8BYCewWMvZQfACrQqkK8GFONqdbPrXPDt/tZ40pVfkJPfY4Kf4sogw3K0b4TYf7zDoWbqFWmQnnLn+TREnn6ye2Wme6gRaY8HEagq0a4lqQRYoCVWJkGKrXatEgqgUWLx8xDfzikoXExPFqmbW7cHh6su+FWsACwAmiz5nt2do7AdqnsuVgm4oQeLiCVfqB1M6o3ID8tu3m/IO//7qnnD5+impo6Di27sVnPGW8oYP3AFLQSCycCWGZH0dSkVBWdsN5f16tD2YWyz7vhFFIlvMvyrgOvJV/3V3jzHj/7YfVZgjRC2lltgb1+j3sYeC36fmHuOngw9tgK/XolcCqFvQRV//yowqPbqUE6EbjNRBp5O22XjcMXfePVc2Xl73+4Qbu34RikVHpfWoddgVjUbGMD743anPH8nLu2Nn0uYomOrO1ilUTRpS/knsjryjqWfm62RlSHvkNIJVj7HNRnak075PTIjfT79zp8bUrkWmGx4dU2q+2CutdScf/2uY4ZMqZcap96MTVHvrrYGvESvK6Qpc8LU4p/WyyM+tgEJ6sJgv1rrZBnpslWGmlYhM6KmRpaVrq8R/JcFAIY0jrCfV1KYSx3GB/2L/A+2O5Uih6WdLyP7N2183Wbz3/9r749/OavUM8aZWM252c+/eTwzpsXGYuKY3P4vb/3G8Mbb75DedVrw19+63vg5BeH3/vNX473kOqBk8A5MtMYh16C8EvaBephJVG2vBjH2UsP6IVYzXHe+kqw4l7+/ivDv/ujPxtef//VYZ4G6tmmn0zufdCy/rU+PzI0++H/BPeyZ4HH8ihhEBgA18cemGtAKcWpNUgp5ahSobVQrZjnwRF5UBhXLWwsAGhJm1CV5qAMbgKTTNHPcWaOIjr3LrFI7BICnxsEVyasyUwykLh0KgFWJCs/YYtwrQfAMiY2iCWOW4Ejgd0swz2B3gXro2vhgldPxBKmZQGYlWaykfisrrtwimMW362OOwp0LREFYkEnvr0Cvo61aF9aDLqvHVppVmqi72Xt+xkPZ2HRtVpxow+y9FwP36dlN57xF2v5YRO3w0mxHGNVlpLq1qS/6757YlDDioGERlZmE9ajlOi2mVyHun4vN9uLJtU4Oq7erWsZAz24+egKlAXeX5cOVtRHD6+MmoK0tMhTiycKoWIRPjzsnXNdm7/+q/vskjWqIl5jcf7r851GGc9GA0Ox2JRkradeVnlm+c5ASgdgrU3OlpW/x/VW0QcGbEo+XqTwBZZmyrnyfqGlZGLKwmr7xkEo6L23lGoAK67aL56BSiDTdKkkJc8YrBLrdyOIpQCqEDZoomu2Zc4ewluBbuMIz2S16iOgKXWX71ld498qHL5Cq3uJ42jV0HtcjlLXA3l59KvcW7kYEPzfD95+c/jKL3w22ZhCNNOc6c9/4Xm+Y50a4TdS1/uf/tN/Pvx//qv/mtIb94b/49/86fDiMxeHT118ctjGej51ii5ceOGBerlH5clMDDf3uLBXGWgaF1JxDcYaDJb/fZ364996+fvD7//hn6J8gGCkjD98BGLF/rxJ8/3Q6b5b+kjKZFSNsKwCBWiDTix0g5Wkm7fpCoOzJYAJJ9x6xtYrmaRUF6SfCDg16AYBEiPqScAhCDlFan15Sgb4wN0otrs7kA1GTeB79Ig7efxcAlZ2/JiiMXIOs0aF7q74Mwdgjg5AJUhNM35YeHWh3VO/y/LZEzD7Z6Aw0RKIEb7crpioh0k3ViunKE26tgZslPT1Xs+yQbQcXPE45sO/HbOC32DLGgBi+h2mSI9zVAJuG6GuIDaaHovcwxgB2+qaeL8HmBKVTVgJMt3K7gWn+nP+7s95v2W5dYFXVMVAQU1ZBCpo2Lq4adZUi6+kXASCSqxadnX6ZMOLw5+v7+hCz98dxpiIsK0syHEPaVwcdIVU+HkZCx5G91hITc36VImmhZveWLykUiTjHPKuPOLR8J9rUlmtFRuJ6Gv4dEEkZR+kKh4b04YhXfmFophx741B4dGt5X4P8aSCr5f722M3qT3Daz2Yb4JRL6PgRTRuZHAIYcTSzDx6jbqveC1RRCr0mpewVHivmZZmVcrK2KSw9C7wyQ4CW0Hqsim81yl1ur6GNdxohRtJ6im8P5Y2UOd96H78SqcYe5S69ZGNZFsWcSRr6j3wvPyDtswx0O4CgVyiHN/jT5wNs8RM6aNHgVQx39dRGLsbO8NnP/vp4dd+4zeHf/2//ovhGlDK//Qvfn/4f/3n/zHsNYw0cXqUSkqnWhQO7z3Nn6OsK5jdwK8wVDQOlT/f+tbLw7/+gz8Cmrk12kb7hXcpg0IMNiwb+HPyyBn5BFb3+O09lErfrxatCJwhtShZmcIBuF+LLNgMePfaJIWpYBLM0yZIbVlanoCJFdUQ2tN04MiBo1OFiwWGkku7eHaJ1hX0PXayly5YJUgjGvOfAXgXySj53Ow6vfVMIiph2N3zbimNwwAdR+2Y6PiNRj8pvA1iae019kVwxCb4u1CyjKXCbLMJBDHxDQ5OOsQY+NRSYIC9/2I6ZTcRXJZYuxfmsRgFWPfNSu+HIhigNkYEwb5H7n9PWfl3z1Ds9z0uwPfDSRmf1ntw+3LJY5LGnKoofyxAhZ688QjOorp1GKECei3QplC3nrNur/en1Zg4h7Q3b72xPbxuS1k/8AypNFVwXFf6ZAKgLdDYLdruAR4SmmuCOEK3ZRz2OEAX3n3+ypNxKKagawmXd5FGFcJJ8qLjerWsScs/tEH2a3q/qUciwyQt1T74gNU61DoFklGoZ8Z8rvjPNDLNfk2AW9aIAfsWtK7PVx0bG6O4HlWkKruw1r/BfQYkJ2CHaWF7zuDkhWFiMpwwyQbddRSiMmCsT+L6OB69Z8mD/r5NFxi7xqiTkOPDLeShdPBg3uMPb9nniBP2CfJWbt5eH/7wz749/Mrw4rBMSv4puODJQJZCy1iXKdm3NdwYfu3Xvjpcufz28PJ3vjf81ctvDH/wJ18f/vHv/m668US5ukcsE9uKrWl9J1CpV8B/ReU9NPzld18ZXnnlh8O3yfhcpm/m+KN70d3ocR0OU9l05tzscOnt9w/cej8PT34SWf6QAM9ZbHa8Gy2lXplMKwTKw00aMs8bhCgxlq2SqLuLozVqyq6ZVXPUO7m7RN3FnTmamp6PwDQJ4O695VhVuw1bDicYjGvSBsa6z2ziWMUehWDPVRrTA1nF7Pdus2PB3aLNInmIIyUfno56pjivWtoWzuosjQjfhn/mIIZ3V0qkd7AZFUSS8xufXUuv3X+DVgxqKpjHK+w5pOqRabZqD6J2HLphnQfsrioJ2g5yMzn2w0ZF9SshMlIEUUb+uwlj36DVyOHuNcgjGHxfHK7GsvcQBfuvxJme/p2u5wnued09CKq46crDBjWIffOe1IOJB7P/0azM7iFlfWreexu68jKkzdkIoCz5SnuvMfYmD1n33JdWqTWv9RrrOd8bFpMwRZu/FLriNTuq6yHFVXcJ/YzWb+asrOeKfWCEUPcjBcf27aN8R+ZzL0DsE4qdQGkZqEqy9mE1kbCpQwn3USaoCrCva7yEwvM7Rt8DpCmYBubsmolx72KFW+9kB2xbGCWwCXCkHov5GpuhEFrsyyJZ22Ge3Cf2ZGMDkydBNqlpVMK7GxMHLNZDT/Xt/sO3rg53KYEBIjI89fQqfR1v0uH9CRp1nUDA3xl2aFb8xBPPDP/4935zuHrpEg2Ql4b/hdopjz12fnjhuWcZJ2NjXXs98MBa/he8SxkyjYexMfybf/unwx/96V+mm/v+x/lzjw3PvHhheP3mt8tyzzwbo5senqLx8vXLNwLv/jw8mqjdG+ojT/zou3gkE7MkgputCuLM0s19nhXTYpJSp2U+i8BVsLlZPPRVYEgX2PZpR6vsI3UY3ZTSjKawttfB6Q7RQsju8PK65XturHPUwMGqwBGHdKzioAIi3WI8kB4WNnL4tRXSGbnadY4bbtnB0g8ynCKky/Wt4GWrNuhGarhDudzCIyYQQAvjEOiB9AL7O5owehdaTVwnvF3+rWuc1GWs9uo0XYJhL/hXbrG6YeQCan01CGF8qfQsb9DC7vX3Xh3On6GafGTC3oHv7+0KbHwO4sYH9imll8+2hJbQJJWbI4WwZ+n7/jA+oiBbIC5bodV8ceaDo5eyGPccxiEVi/en3sk+PzdyTWXR7jmwTpRDwUNd3TrPoV+6F/gvsBqCq8HgFRiO4BbHNeBVgjdCM9CGWHopxg4tJfljBJ3ZBQnrX2VrRmkcjc5oqABzJMIHubfNM+mGREFSLdW9iemelBTvwntTiEfSKMsr0O/Ae1xB7rVCN0BalEPNie9JQSqhHSsdyjIBIjhEOVbPnpZ54kQoHX/uA3P4OZN31rB4mcbhLp1k7iC4pd4Lm0Aaye+P+3Cp1lmT967YomyC5gav8x1bw+XLy8Orb1wGutim7dqh4da1t4ff/Xv/bPg//bN/PPwX/+V/Sw/JleG/+R/+1+H/+Z/+h8OZ0yfhoDcFaG6E+0il6b0wZpv9/gVc8j/lZ/9Dw+hzn/vc8Ou//KvD/Qe3h1evf7O2cnujMuKpp58ZfoDlfu3KpY97e38j7081yW5rfgLh7aAfoRHWdWKegBHOpT/mA7KwttH4psHXQZeFUhUFg/MaeICqNA3UEdfWSAgY+ZGjZxNRvi/3VNbJsEQQRSyL0rQLx3jtGJuwDntBLRq23BQ/sbwap3XTgKeJGsGka67HA3s50ArQdkgKw96zwOuedPvrubqHVoY1wtz3N2tW8cU9qAt67ZBYIGUD1feEXlm89T4OhZEC38/qBvoTa1IMt22z4MNaXhEwNSbn7+Sx08lWtSpcZp/PbWzuDm+///rwK1/8zZrTBrV0od1x1A6t9EBjLOW6dFnRzaqtLyyhHsGOkNCN3X8PWYt+n7lx7tFONlyrFyarMbZZbXPax6UdfGvpJi777WCn/dEPWxRAE2oqY2MOvcGDz0tLTds8d4lGgQE+25wJ8TRhr4DvdcNLENZBzrVdJxVqK3olzl29M0vQ99ooE1QgLGFaXp3r1JVKKfGC1h59dJhJAVt7KdOdvYBkNIHIOY8D4K5RAbaaNSqYZnlXLKCMiKIe1vqU7lC4GXfhdb2axJAkDsDvXiPaCAtsi8BkUszNwER4Czdasc/+lt77yn1+VihTgRFrgqjJ1MjSTyS8989BaLStNvs9aH33XqdVDQ8Nj1tg30899szw5S98bXj/8vXhf/3f/g+E/q3hv/+f//Xwn/2f/xk9IxegJNNnwP3OuE3rt8v9X3zjr4Y/+8vvMe5HrefHH39i+PVf//Xh8wjwRTK8X37NekwPr43/Pkw25+nTZ39uBHg/6+Oy6oAN96FPlQDXRY7V6O6Rv42LiXA9fJgmw9t3slkUC0bRJ2CQVAsge10WppVUcT5rVDmdVdh8ZrhNIcSXl28RXFrBbYKJYmBkTdeYwB9p81p6KRtL67XBfpgcCJs/HOJ60wYO2aj3bt1lsaeHxRkaqJaTXAe1VQZ0x5clXdZs8bY/4MF7FVpVz6Q6DgUbTipc2YhhW2FhVDCvynT27ivi2TsKYQSP+zcp81pzvL8w/LKwbd3l0e1dVQqTNXGnpbCjN8V4/TIVybmTjw3PPfH88K1XXg6lqi+s1xiVEA22XgyWPgfdmi0PpGCLQN2NZhfvqKX5Z7tr7bc6HopIgYXOew9NM9Zkq6rHNcOssc+pvOwGN3SB7+V6VcQormYZK0h++Pb3Uh8D2n9tL34MEp8+cboYB2Yucj3XYMM6HUleqUxdv0tFkRyErIOQSkFVKnDrfaSmiJiyNVFc84zF7EgDynaB0gov/F/hVg0gnP8SjG6RCfcP+7omzTyFUvDBdVEY65ZYbZ7Y/gPmHlNYychy+9aaVF3xGAqN5ZEdZbzFZ2Ntqvydc2fe3y3YW5SZ8nAyHPZmAHYD+bYwLPpgmiNw7wYnVVqm9LsGJuncW6YDOnDJGuVfNfgxjof7CG2Nbf++S/pGD1R+wOn4sZ9WT166vjX88V/81XDs1NnhH/79X8ZCf2f4zvdeH77z+vvDyX/358Pf/52vRoaQOkQ1xPXhtdffHv7wj/9y+OGb7z3y/UcOHx1+5Zd/ffjar/xiOru7zgaCR97dmAnumZ5lbp944snh+zS93C/gf+yb+ylcoNS7KENDGtw7Y4bnR/nKEuDNgomLp4vr0T5EXW5Td6cIltDEQTdxEoHc6TqmhCdtOFakFud9esWZXUnaLrzPXTDmje1bBAJvhUa4TeDl3u3VYN3Hjp3ioB3DatB98suFKvhNedCkftvCjUM9JU0Kgb5FkCa1EDwKwioR+o67/V1/5oB27HYE5jcBMhLR4rwevEASeqmNYYHSKOFfCsGprQ479b4IuDA2IiEzFv+uAGYpMqPmgS58po0tYdlYYnuc76p0pyIo2ELs7/SJs4+sl/uz172oVnLdKNwLfO7h4jUHcUJKHrRJUaiXYIofMQZtdGpdpTaXBxI4o8E1pcb8TAkplVUaEERA1vt9rmCisjjNvlu6d6ew4PZQcDx94dkoqjWCbd3SFbetMrElaKteSVm4yi+VbTrXaDl369T3eHfeZyCKDoNVqV8Ttns2Y8f399a0hRmlESIIZVP4WpgjXLIw79pjVYe7H4zxpWmWX2ptq3jKWxuVKlBgB7OvmE08oIy9YKfo50BR7eA5gtwL9+jbE6ep3p0qujTH1eBIDXSyLU2/ceypdaLHRgNeelzeXrJrFvupYoBZf+2SJaxuu6f/dT6+9f33mNt/Nfyn/8l/NPyH//wf0QDivxveu3SFVPtvDUdprfjlL302wvvf/fE3hj//xvcIUu71p+zjfPHFl4Z/+Lv/GNjkM4FfTU4KlZjy1aNyGg/tsao9fubU6RgAemg/64/IheZ55ey5Zu33h5ihD93WGIRS6qz+81GXUrhMPrDBgtlRC3HFkslofQM3mx09p6oovhSnaXbzts0flu9ihV3jYNj0lO4dRFFu3VodHn/8QjItQ88DajH9ftrofARhFTaSCqT7KG9V61asT1vCbj1Fqa6DUTfd8VOtK8arIhjVJKl7LbFcgkys2mc6o6UCKF5DwVQHKMJH17UFTLuAyvM95T9ubmM38Jy9PntTAQVBXPikzVd6upaStZC1wDLu4PElYqyh3QNpD2+6llnYMIKC6feEd2dPJMAbRVPYbzL8IsxLwcVDicVbMFPHiBU0xQIpAeljFBjNGGt2q+xrXbsL81IWvShVPR/cuVUOfPg+huEUMJHzLNZZLCHvHIHm+115cwhi9Xcvo4S6Ux7mS+oyNAreWCA7q++1ouAqeSnrHUWEcmSfVnPjCnipiPM+g4Fh49S+EDJM5l+KZ1WNFLnIBz1q3cWkS+E42bV+e/NYeQxa0crfhml7n005ymKy2UIC9P6nDdD2c4blFvc+bfQdSIeaPPLA+TE5R+jhEIbTPbJvrt+4C9OkKLs6GlsYRUInt5cg7Yq4/DU/vO0fvnll+AuYKL/2tV8e/oP/4B8O/8X/+7/CQ1gfvvHdN4az504PL//g7eEvvvlKneexh8Wx/t7f/93hH/Bj1677a7BbJEbohbX8hry9H+r+2QTaJ8DZzw/HT54bblz7eWCj7Lv5T7BODULJzsmjqv+5qYtuZaIU0rpZGlji6atoAMhGDgoqNhaWlNQ0N07oaGzqVVxoWSylCatY1sI8LvAm2ZwczMP8bXEcD2evnSH2mUOUw9Ey7Pik2PAD3N00i4jxJfSiAGl82nbO/FzsnRao3D8fHUd2kyjMrMugIpkO1Qz4h2BKrClhh+CW3eottoPCZSb85QraakFWpTlvWSGiUJY1oEtegSvqMJZQbAI1WHHe15NqFFi694+uXsEwnXoWGdMWqQ58EXX8vxKgVQu85m1cEHbsume7jYKOChxhltGBqM7ldT91QlK7pcUDbNJRvPdKca/vrJK2YRAFchq5CQ/dkIJLjDZJYSpYxikvXiFZ66KQc06pPNj43wpmP1fKrjrMe6+lsmufBmtWcfj9sVhVVkJWVZUkCsy9pAA3luCnVfSMPTFUd2eLC6SqYMZRFMtG03l4YZqnUXqj5r3qjGvMFJbuR1NqwZf4p2nfe+er0S+FUqwBrbWf7+yeR3m1aSQcBotcfFlTzarXe5B+mNjU1nDrzj3iSozXkkUtULmyemi4cp2M1r9BSrSxjD/+878aDhG7+tJLn0Uo/+rwL/7Fv8EjWIeZ8nXw8T1ed5/gxx67MPyD3/u94Td/47fCZtvclGVTyUp6rTLUwnnbZ6Blv2o44gEfP3F4eP6Fz/5cCPA95bVfGz0qCz7omYeCmGF4aNanIUPhbeVEWwWsUuenFKLhUpsxRjBiulvlwCum+9Jx+hAY4jZJPRadmSCxZ3PVg6tJIcxwGJYKeBYQSpJH4vK2AxXmSxWE98ClbgLv2GQDr63cHabQyFZF9Hil6py4L2cj0dwIbuVAWTUHisO8ryzTLrOkNGmxK6iKtVAHqYKEhalXhl5kTLNQ92h7Hfstq64EjoLVbzBNPMWMtF6bxI2V3FgvuukGRMt6e3TMPeja25V1K9mx5+0KCoVow38DHfBCWo3l5ZjF+f5KY69xWfrXRJ0qebCHkwcr1sNwzVPqV3HWfHIFqerbe1SgxGos6zPPYdGGcx1a4UE0QoVcBaZDQBWSacHczvGOak4OgpX2XNdWAzwMp5ikGc9ewLoWZadhx8GIwysuGEuPzrHJpoowTatAg5dcQyWfezWe4p+OW28IxlU0VlMcXfK2DVUFyRTOngpjRcWLigpK0LGqB7KDSxGYfdk3G88nL+ChtXa/Vcaoe95kpMwzynJXjF+B1ZhQthcLe8r74n03qAB4b8XcixyjYWX9EDVLdnleT+SjC4GfyjuZ05vv3xr+9b/8/ZQy+Oov/gJ4+BXasP0gwtiYiAZef3zxC58f/vE/+ifDBTx07929mVIQ0lrxXFXy07ZTU8mKE+07LvE8k5S3Mzz/qReG73zzLwji3vmp3NpP6qJ76EFd0Vsq//yR2/vArxxh4NFs2WgmgWhRmbjBhASDbL0Q7RgSa9FgEsGnZh3ZmFQLaWHxTNxVo8tTM+cpPlMNDO5PUciG0c2gjWPb8J4NFmKTQgxu+omFtWFxmjoLSQSp6LtQxwQ1kdOwgEW5cf29YYaKhrM0WA590QAO1wzHV3e0CZRgkQfebltxxlMZd72Xo2VsC5ZIXQYeafOU81187Q6hVHPlem8ar5Kg1N1elUkEjoe61QIftYDSVVYxjOCPJl4SMPTAV4OERx9d6CqIG+TShT1PpQaNRzzeSp3YCko6jVqgtZ5+bVUNjPlYgjf0zPp3bZiCWhT4VdK0MTTC3PD9lRhj/CCXbe/pjReKP12V5HotlfH7cf0rcFkUumIrqYQL8y1c3H6JVq8sZkW8iLYf4xXGUm3QHq+ljVvG3e4gXhDvjBfSMlj9VGh70hMrGcm1egBebI2OQqj5iD0kERShGKarUodE9llH0Rkxv8u6d13knLfxVW3zSuTpdM68pjfR905jFXXFFejF/REPag8FLcOhGFUGs2VjbQovcp/Ly6tYsZC72ewL2DUr6xPDpSu7SY3/WXqsLq0Nf/rnfz4cPzoFnv1MSs/++q/9ynD9+u3h9//tn+Ws/PN/+o+H3/md30ltcc91qpVqDIZeieCGeWJdlA1y/w1B+dz+RxhxyUPYGs6dPTP8xm//g+GP/vjfksk9j0X+Qhg7L3/rLzEEl3+WpuehsdRJ/HiPCPD+wQRS4u1ZBGeFlFvYI2EEKNRM4TURAOEMr3uS5sVi3rpxVtUyVVfYwAMgs2SDCd1c3U5bpIVj58Lh3oKkby2Fq9duDq9SEN5OPCd57cKp+eH00d3hxBHodAhFrd4dA0oKcjas1vFNuJ0nYDHMkFqvBaS8Sg2VJlRzCIJBlgAb3VSfDxe+TnpZpcGytYYr+BFLrh964RMOoQLda3nfVeqzeKtJJmtVCr2ciSepc+F/vj9iYe/RA5g+GasjpQg86Px4PpOG/agFXg0dOr6dIZYA4zrBsZvQ7Th3yeL2Gd/cLO4ILf6ZBs6t4l6vVFj3XR5MLGPuQ68i2bUJeNRcRtCpsBW08VQq/d1Hb8xc5WAd46P3kjGH11w89eD3Wr9RPL0yoWvUKKAqmDZu+fVeeI39Uk0wtJBbOQQ+a35CYJzuPUUpVC2VrIbKzO8NA6YFEwNlafG6nnqX7iXfayCkKLIH3YfX7Pff90YFsot+Gv8lzKa9PRD+f+CQikUk0K4lrlJsXkg8x/znrTbozIOnV6GCC6RZnqAw0x0EuGV3vOzdFambu1DwDpj3jycPDjT9MqaDraKPdPUrb98a/uX//AcwUL4GV/vi8A2KXT3/3JPDM0+eHb70la8O/+gf/cPsQSFJz2SS5/DEVeQaNykq7ZqmAJoB3b16Q30AMeFk0JmpCp70S7/01WHu8JHhD37/fx8uvffOcJaenceOn/jZE+BjgqIMpY80paM3jSCU2uzFbd4Cc954sITWosoZPvoCKl7hvAuTJF3KEWwbWK1r63C7ceU27SiNYLpHpUI5nstwVW/dovs1xaxiabHhxK8s6n78+BkytO4O3/vhW0SnN9HMd4enz28On3qSdk2Lxxq1rXizD8IQARO1gQLffevqpeHYiTNldSp4PGSBI5QBCnAPTWWI7nexRnccC1ROcQnGCEG1fQvw5fxoxUcgCz20voVMTxozxxjdK2IUHNSDG0Cr0NkCHup7SrCUFe+LycxTzglJGbwVMmjwRDOG91awLrY39CacQ5RoVlynUMZKa8kRCqMeqEz3pGQ1lvLqwr7+3qtZUpXXK8jZ+zVGS+bRBEvmt+bG1wrLL8XXhU4O0gGbMDS6JKvwVubKVl5Vf70sqhGMpLKMYq04TJRtaqdrRGwOMx5o5tQyD13p+nwCrUHzVVYtKSleXK1PwhBOvdfnXXaRUqCnXnhSwu2yZFG1XHW0Nx49TmV5j5RDrlH+QeYDaLFKxRY7qeqU1yImg1dFaqDURhaNwSPM0+ud9z0ZmqR7pWWHbhlr8vpcw2DgCrCkf5PsCOunnYFHB/uxn2kOzMOfY9gp7/NJH6zl1UvLwx/8m28Nn/+FF4bvf//t4Q1Kwv4O1Qp/93d+O3vTs9W9XeevEgMfkPhHljZraBxsh591lPgGNV/2PwJhwlbbnSPgSXjOioxnTh0bXnzpxeHP/u2/pnLiDxv8+Ulv4qfzueyMjym0x0cylkrvdWqjrVFb+N7K9WC4FmJahV86T2rxKnUWtigv66a0h97y0nXeR+UzVndyZn64DY1QDsAWmvAWFcnWb92OhXDPOgypaGnw7w0UAmT+eXjfK5vDpZvLw60b32ORpoeXXviMYsgTnn56CtCpWbuzcBhYvFe+/c3hiSefGxaOHotFr1sU2pgHI8Ezf3uW9km+dse6ayZ2+Nk9iMDAm4etZ0VWIFZlUMkg9ZqfNcrfDZFgme15lYe4nZ9LglNiCTmydW3T2hVsWnoG2FowsoR/X72DV7GzGwJ/9KhHDLiehJIbHlm+8RC0dCOIC2Xr99oFT8/qLLu28ESFnveqlZ6Ygjh56zvp4UiJ3+DbzktTZIxd4VtYvfNfrJJI332PPUaLCstYCHAAczYLjDFiXWiFBoJwTBWQdGmrT+YDvDk43kAdHu4IWZVCPqMFn2h7LNuALYE4iilk85FELduj2udVlqQruttKB8+bmcnSaZVPBk464NAyoF5QKyts3EG5zNqEk10R33y/NNOsu5a28+cc895qUlEspxaVSXA3dVJikTs2cwD0+GxObLGxKjNh4P3W0j3YGdsUjNL6/glY3ftu0w5s+4VKyvXHu/rkguzSpRu0ZJwdPv384yTtvDI8dv7xeOh2+gpdNMSBat7hFy3ymrxvM1B3YbbthKq8VALcPdoHEwN9B/l0d1hcPEwQvAyA+2Dg9+7uBUvHs4c/+V38BD/Zt2TzckuWN2PpI35NBPi43ejBsDjOysqtUKmEQRYopD47t0Ba7N3hrUsI4MPgbgu6hbBDENnLWACrm1jeq7g9DOCBeCOJPjtMvoXcucSA0R186+RJDqip4tc3qatQTIAt+bRS6YzmV1n8OoxCFViqWyoJFuj6lfeH9995c/jM57+UyP00mKWlR2OF+gzXSW/AseDI+Dz0oNiIC62w8Hs8VGaTBhvWtfYwlatdeG7PuORGPGAe1linPXi6lwlaFhSvWHWtTngTNMIX3I/1r31aGTeS3R0qeXjVulU6SsfuG7YdosxShEBhyjn86o7cUhW0UqAVtl3PNaCnCZkOE+gvlP4roeg1Ko29sjZrXMU0qZKrvZxuYdItqNvHdcApz/syF5mc0bU2ZIQIQTX6YbIgk4VbQtAfg+kOwjUywB2uUdaukmOq0JnMH8dWB0CBEKEZTNWyrs0SVg8afyGrUcU/S3ZZ2qyN4DMHKGzxQRUV9+aioJHGVnInqTBahm+ncEbAi+23uirxYFM6WYXndqvgu9BWoBlL5ib5yPhTGQJ6GF5XWq2errkU6+tTCO+fDtc5LTRre5cSc3wMOTXpfkxmy5tvU1J688xw9vhhWrORqZ1k8Erg2mLNTZlPFUZeUdgrSe4jsJfvXBte/+FrJOuYBLg3tJFadu4xCmykvkGcZv7o8WFxYWa4c/vWcBToxAzV9bWHi2J9RBn5U3zbuAT/ZF/TaIRupoDKOeIpDWt9Yah7WxyoWTbZPYI+d1aupBhVUEv2+SyZl/OLdJ9HaK5iZW9sU8UNDTiPhJ8i03LlHsFLVn8ThXDq1ATlJ+fJ7pwd7t3fGeaPQXMCa9y4b2VCFoUAZyhjESRaMYyEjSp0YoBpRpeTb37jle8PL730OcvEJ1hU8YzS3Cn/2miQY0ptNDPiujkMaUFVzVu13KQQ+jvZlAonBVIsqJJqYWsYUAkVrdz5jmuncFBC/mXxVt0UW8RFUmROuxXm91X1tRK2/ZCPWpztM8JLFAkhVJA2fUGbcOx6WuZPCfKywsuyY0zNEuxWR9UdqeBrrwG+aURfC7bNWeZDgRIOsyykZhHqYYxxyAtHds/4nWXF1pErq/NACMW3jwS7ZQcITDEWD67C0xLFfQ6LyVJC2vH7b2HvtPlrVnoFQAvGOaTQU9nWVqjvd/qjhKuaZo1LnNTnWyKXa6ACsSk3QlUPI/OUtdQKPpjKEcXSvy9nofjfweq1IsOZL8Mo95xM59pbKRLXkpeCp2ebdM9HDL7mtfamqkTuPNAln9kydsDeWaP8xOVrPz2aSXStS9tpq02WH7SuH1fsCBe98e714akLZ1LN1BLMgWfdRtlOiHSbqs9V5uw3aCTxve+9PNy9fYO+yveHX//aV4cFq2mNtEutt2uwSZnq+3d5CTTANZ1CEZw7exLY9jjp+neGK++/W4rzZ+RRp7p5adkftW8/zqOxUNz1ZUkdQs1aOe8QE7BJCvxdMKfVB3eGQ0zMFtHhYyco3Thv1UE2U3rW1WE/TSnH46TEa1WvE9ycmcGlWb0TqthTjx8nLXmHmigEX26zGT0o0xwcfoDH2ZA9LVo2BkI7yS4KD4saWYMFHJyRHp2bGm5efndYvn17WDz9JAFVMUGt9BIc7jp75x0oQbietKRUpJO3zkLKN7bBruniNpeI4BMrjheMxWcwJdTIKqsb5dYEWaAQaZHypFNjVngIRYMnkVouCnsbuWJRxOqNUmp4cd7egpOxvjrksn/pIvVGsEJqJo8WuF5zo8ZCV6gyNt3sCWGiCFmbTLdmEyaBaFWHe1+JLT600k3bVgBK9/K1rVyrEl+6NxImkli/2HuEUgmQMCfSWMB71MtSOO7Rw/KmppjK+o5vUALfObTuc5qEoNgUph36GXkbWui60UVxTM0cd3mGUEHBPIPg8163hNUatl4c8gqe2jWm6sSYeu56WgO+8gHcbjuOwXHhftf7ojIfPUteLx5AveTYOrtEel9o4M5ROOXR9AmoyvesjNfWxs/7bwK92qi1rN6sX6NYRnHzbfx7DQKAwvwutUdeee0OQv2AsX2ck/9h790nRGIMafUqLX5Chf7ukn2pR3/yDAlebR/G67JZulY48/H1b39r+B/+x3853KDSoY8vv3CWMrbHhusI4v0B5jRmQYCbCzDBWq8ir3am56m8uzL88PtvlNz+GRLe3k8icMquBOwTFulH5SOv5B4GHj+uWZZYxAZKrkD10U01AecaiQGHqTZ24ohn0KBCWZNHjs9gPVtM38pnq/zg6lmzglbzCtc1MsYUclcuPxiuXtUdotQwClQYRoMKiHuY5yBptceIxJqyU7Z0KSutKZTvr6zEGhEDvXHtHr343h0+ffrx4mh747Eqyz2XDFnp9PseutQI0e4a9+QWx5aaKE39eW9VepUDlQuWlVc0vEY/lLHg8dbtjslX1ucoQChGy9M2bs1DYScOHqu4BFjCnI4pHy54Yf+jIIQKkgVL1yvIvbb7iMVbArgobc2ijqoptL7KwBZOnXrmsfwVKlUoKkNqcEUTjUVZQ6DNZl6KNdKphCbjeMsGnDqcUlmg0aTDISonJWDaBNz4PQVeatZ8bd9ap6JbWnMF5d4+MJobFZi4tAFJLV2ukTVz2prl5VViBTc4IpROdaKvc59pDmEsRUHdAtbh/QvdhPpY1vIeZdQ1rVjI/vvoLKAounh0rdmEO8JgqU0bWnmEEAJkyAQKcb+Ugkxs1rXje5PkFasbbzLYvW/15oQEyz7bDK0STJfkuFd+eA2u96Op5x/5xH+EN5q9r/PY+i1kvbVRbPKw/Wj88CNc8dG33F2+N9y4cXV48YVnU4jLukk1L+xPLOw7y3eGr3/jmyPh7RXuEYv787/8znCVUg2JMbQ9lvVj/Vf4zPY0Bt80WapUY7Sb1z0K6fXCb59ooD/FD41oxelMf8CB+QjfPQahlNvmYXCjr3MQ331vZzhxSikAxs2emZ2jOHyCkQgEBZ0wBxtwY2NiuHpdC4H3mLpskDC1GuClLjuxG/A/xc2H4QScVWsRu0k+8/zJ4djRM/jGi8NjFy6EBSCfvMosFpzj9dfBth4Q8PIcmDBy89a11FYxtX7S93kI3HHK21E9lEfvvgoeFX/bR5oZoPY8yGVZUyoXoaunIVWpCvFXIC1JKqnK1w9YWcDpFmTCk+5weM6dYy6f2G+pyoQT+MqTVGtUfEcIYJ2n9Zlb9kMXryzbcLAbN3vE3mhCuaemR5mUzVZwQTDiYus4xlh/TXDHiNbjaBZtrEBjF9ZzQdCkvVwobAqZ8qW9RumrgoqqKW9Zoanv4rfHkzvIclV4V/GnEvA1f1XLhIYXgR/KiwkfPBK43qtV778ryNpohipu90OSd0oBawEXLu48tD3R4AjvdSPFs2yGQEYpSniaXq0VhHS8XeHVQSpFs8+T8IV4CJVLUHNQ74kgzvOyuKq+TXHyK9O2PLDSOiqazrCpvdCgw1jkfK/X4bclWlfAbTcgEszMLg5vff/S8N57P13hnR3rUdLSNtm6P1Ta4/8ee+kT/cn1TM7boIdnKK3RlcZC5kJhvUMN3PswbUYPpu79q/eG996/NwyLGHOPuxZZ9lov/pN8IdY9TPEDNLdGqY7bt5c/0fD+Oj4UWC17qu7jURPuR4+ieOBuqmDAdTGtL102Ne7xE1aa8+K4Ngjnw0eLoTGLVS504UdmZy10JD8TK31+EjfvAZY412D+IZMMJ0+U1W3wfXFxcjhz5jiHaHK4+MRT1A8/SQ1h+OMIzoxBQ1MOdsuQ3KVzilaUffaENObmpklWuMG/l4b542cret/uobIdNV4qVPfQI9ZpBfR6WrVCKtgZrkAEB0JEOSLMohA3bd5zrZDYSIZoBaTSXBbB12uRpAGCAoLPpW2aBxBhJ8b7EJfbxIwoIQ884wmqIvxQrIRHdXDHv2t1YykLi3TLuEXru+cUOVS+Ij+VchwGisyUWOvKiiqjW8qm5iQWTIRHUbd64arOP9a1USh5XTnvdWCK7dL3TzwFuf52Ox/Dh/fWoLyZHnR1nPnOKAkt00rRN4mmK4mil1UqtXPpnPtIsDleUTFGhPu6QgqlkX8kTqP2SW9L56HKIBfEo7XecH7vOf/2pgp2yjQiPAONtDMxvpcyinxh+3E+o2AqVpDGGaHNts5Iub518YvJU7pJS7346uHFN+8uCiGQT2PYcJNTKP433r5M7sSdH32if0LvMIa6X6J02Ogn8RVO67e+/b3hmSfOp4Jg52/HICRh5z61k/TIRw8+YE90P0caykMP/+m83qUU7SQsuUNzUC6xwKfmjzdl/pMY8U/+Gp1MkW2Ug/Txv2OPBx7gt6ypFVgfV66t0EFnGM4/tgBVEItsBiHHIbhPBcE5knjm0+zSDQ9qTRu1kycO0ZWDv/G7jh2ZGJbubPCegcI1CjEPDwsjFMgiHD1m+dhFrPotoJn3h9U7h4ZjM6eHraNQptCatrOqtGcFYwkbLZUZDvgMq3fr5uXh9q0rw+O4B3GPGHMFHvXiI40OmImyZIMLa4WDVcsl1orqHYBm+F650OKltgaTU5MgmI0sdP8bMBG54Hz7vbrJpmprRXJAKxnIBASDYq1OCJtSGlis3HDbnWpPsYrG1WtW5b5R13rKv69gnOZwshN5NlQ6ceGk4hdcoGItvL0EbGzSVLMz69COQPU94YW3AGQp74JcFG7VU7KYD35X6pmjuLSQJ1tt7VimiTvUd3pDyW7MNjxIEZXAs5OMSuKh1mEqGj+rQBaCyRVqrqueeaMSBqqo+TQbtKiSjrWs51JOfn/RAw8ZCG3X7nPhe72PnSjAEuDp8s732zihsiqNFbCP0rvx0W2Uddc3dM5aXKNuu8YjBi/9tro6VcJYMPB8NzTICOtKRNGLTK3yNpc4IJlzx1tFsoSXaGGIYPr+Dy6NMoY//jH/+J945N6dE6mEiomfEPz+Dh19vvXtbw9HFucgOJyI5e1cTiU2gVerFwPvPxUZM2P1eETOxVOzQXNO1TBpLOqI5TxssP7TYep8/Bl99BMjW+sTCO5+tZEA73iSTIxwKmwYP0/wBNhgBVP69LlynbUkzl84n8Lyr2MRHF6kY8+clsQwPPH4QkrFrvOZuanbrcYylimWhmn0Bicu0dHjZVzByWlAcErWrt/nUG5h2VMb5fTC6eHcEbih4JVVeL9qjcfCRFlsUIp0Aa1wi+++RN+9C8+9WIvtOe884MjFRg8cnzOuIXySICN/r+NhKLxVDApe+eEalxvgbJavtcBVMg/lObuBFGaZpBK4VTCpFXBSkAohIBy05rX8poiET0Br7GV3hYe60DDwqEtd1pjSVoH6qNLpGXy9DohzIh2uqJIF26RmtwFI75l50MrrdMAoEC4/PVsp/+XCV1Ctl24Nbp4Api8X3iyEIe5a7JqCCwz4ugbF0696JtVsuOHwusBRoK2ezL79WtxpqXEK2uqDGgGlQooi7B6AcJVKqSmb3J9whU1E7Nquhdswf2VkvJzmWUVJlFVbsYWyujsEJYvDWtrer8H1atStsJAJVU0gxdel6QWO67z7sXsJrTFVAUuh+NsU8IoDtIBxPBDHVLZEVb7sJQOqmmD2t5h/KI6FtatAs3eb8tG7EKa8fv0uBstPCHz+iJInnQfH79u1kibPT3jiP4GHO+DPvvFDEvgWhl/8pa8AX5IwCAyCQz+cOrlIN6oTw7tvQ2XW8vsRD+fZ5ar8rkPDY2cW6WpFroFm+8/oQ48/610iLvMtNH2Q+flBtzBWzKosJ/9fqs/M7A7W8yK0QeALsKijx8RHSXcnu2nDoAoHbAPIZIrnIviA5g4vaGXI6Z4cjh+2hriUJ9zKe7g0W5SUpdjO+jpNHugWYpRZC94J3kEgb9/73nBq7tRw5sXzLUNPiKGwTU+T8m8CwTeDZTTHdW9gud+48f5w/uILwF1aOXVYyhavIkXjjwp6VJr4ffr63adR6iyKwm7WJfzoagJnfQsGjQLC77WYUAJ42oORfd5rWawpIQB7Rgs1QpXP28ghwSk+rSARd62a4lqvWqleVj6zMJSvl+lcgmLfsnmgI7gqq0K7rGdXqnhKeBe3uVvRsYzxWPL9XrMJ9grAFjYtL7rocXhVaUBQGHPGoJJT2jU6XXDYwEJ2GrIqZBVTihXasGUZE6kEF6EmK6jgjPFHrUQVG8rfURh+X3kTgW5inVcQb6d1LteyrsCigrqEfGCYrGUGkWvJTEntF/HjYNIV6KzqiAaBFdBi+npS1US3UuVrLqoDUNFENyzLyvfaY/EgpVprX/i3j962rfB5oY8WA2GvuqSTQDVpoM2YTcKxgYUmkoc3aftm+jZllrIOGgUGdPUMEfCbQFdXrkIm+Din+oNO+8d4Xgxc26n1qKjtqXJHz/2kBLjDWUWGfP1btA587Mzw9FPP5D6X76zQeefw8MRjx4dXj8wP1xHqP+oRo4xtraw/fXKKIOj6cO3aj/7cj7ruT/X1Ti9tp/+TGOJNgHe3vqyFJCewYncoRLN8b2dYPGyGYVHo7sDtfrB5pzVY0JXn2wlMSvO7z6TNzd4F16ZCIeUgwzKZPcJmBXphLjfWJvhtQstcqhg+sLEwnbsPYVUvYKG7S8qaKUpVZWeVpVZc27JsprieXYJWyMpKgItdFe6w/+W017SP7/kED9sBt8aHWLWCKT0YFT5gZtZY8fCn64d/OQ6FQPN1DNDJ2y22Q2HHpmDLRggMw3PFBPEgNzcaXoW0yXC+NV8aLzyHVY65yuaA05nvjwBvBb2kBPDwYDsXsmgSOOPRo+wR5M2aVanIbfZe1/iM44yCbkGz6rAjLbGSknrXGjNb5WbXdSvjUWEjK6iKKxVdUde/+kdWkaiqt+142uSP7fycfT0B95YCWAtZa1WsOMKKTDsLfrlGKobUhnEHliXerXEFbIdU0oZMsaslTOCwWuTVvcS4TmcpmSbi5FrLpXRVtCX8C2pK0SwajhSk5HpWmznjQOHQH3CqOn+/ip1VK7aU103mZUEzh4jdJK4ZmLHoqAmaMy45SOI0dgWa8P4a3p3giB6w42zt0VZgD9y8efenKkcOungCmWwDUIyHlMcnETI/avBXb68ML3/vh/C1jyE7MPyYyy3Kcpw5OUd29hMkA1IyFwbOBz3qrFbnIed8FYqlHksaW/8sP1reSs6llneb3I8zx02AF2tBt9EPr9Fs+DZ7ZpuGqPMEK49jjV+/9QAL1UO4RgGqCYrFQxvk58TRYXiMrEwPxe3r1Ee5R/CTQ+yBMstuC27mMkFNrjTMLhyFdULVQZJ8JkihvkegYoq6zacoaHUG+MSaK2lXZRlWLri1uRprORglh1164Y7BJ5TDNH8fOULLtxxShaaHsuCDVofv4bOnXG8CT1c8mXF8yHFqWWoNWbjLQqAWadrUpfAANoy9hK1Gn/Wzq8GB9TQUAgpvxyFE5OtpoKvQyDhltShUzLJziGJ6Hmp9a67TLNEP8pscZzjnEb4FFfT7qHTtssL73xEozMBGKjZWmrcWYA9OBrIJK6J4yRlnmBgVHIzV2vnVKgOGuQoTInxpE64yKY094pxo4crg4TkrCSp4R9H1cSEe45lrO6aM288W0yfCPx1uSlFbDjeOgAFYrtEQhsxZWfglcC3l2i3eeCXCZ4HeSlF1amcJXL2psspjCKRJhLzyyuQMbMMF9Epka3v4D7LAvaUEvlFyxlFGgXGvkxQE10iIqTJxtcqLc9/iGOxfBVSwdxV79qDC3RKxFWDWINjQW+FaN2j0u3TnZySD0D0y5rP/pGSjR+FVMjSffurt4eL58wQpKVxGpuwWTLjzZw4PT108k8bJnW9/oMJpuLxW+Aqy6uf10X3xjyrEsxz5kCfG//GzurpLEBNhjWVtMXrjlbduFXvi+BHoPJdNRTaJJLIgbrmNU23dZO2UmzfuDTAHhw1em1/g0PL7HsT9GZTB0RMTCG6FMunxh9aGuYVZBPNO0lwnoCyOSnA2AaOAWqQ35+ZSpVvvEFBUeBvMXFqiXdv8GXD3Y7H+KrqPMjooyKKQi/VuKq7ucauIl2AYgkqGgKm48CQ7K8XAXyXQlRUlpNMDlyNudt8pCokIccc2He6xJQlmd+YTiEmATCHI9/eEoSo+u6dY9m+6dLxpAUe97CTdRBjVMpfgLkjHRzjJLeiXUqsNNsqcBIYpC9Oxaw12ASqU4/cU1FJ1X6w9rVGa+jUWixKrzvcW+0OFarW4WPYjDBqBpOWWYOnDj9xnuxeqEjdrvrwYFbYQViCgwFkF8UTpRcgKTxTunSJekfSNNJk5kDmSNJx4VIlDqOhQXFW7vtUrCdG4WEibYYbosZREiiLkntbxwQ2npEF3InYP30dlVta89JIKvQGxdfNUOakno1RCmcU6B3PopXTT89NrtFo+vfCVwc1iVFXXqEOJczwY3n//5oiu+dcplOKo7VtGlfk0BtsGxt3+XK0fZ2xO8RpW8w9efTNeyfHDC9l/Zp3OshcV4rduA6Xc/ABIxO3ANUC/qhTOz8vDQ/FRJfUH3FPjgbsZOShkPh6aLPcZGTscgUZoB5x3LyOAl8CWTmBl32Gy6QAi4kFsLPzwKxTVOQ7zZHp+d7gFY+UOC2ybO4oRDocbjnYX3HuCrKgjJANtc1HjgpQLHzaoo/KDVy8N8wi5p089VVik21i3EgFhW6XV+9Q88WCbdQidcZZsuU3cqrffeHWYmDtBMtE5xg0cwrinbTph5PoAEWLKfDODY/nkUBFQmubaegNrcFKnEUiafHBhsIgUMF63JQxZ/1vrVShgxAFumLeCVZdbHFX8NeVMKyt14TAKJsKi4efCL2abKXTZqFMJDj6sdfr445Kbyp/iWWbJUmBMi63X3Ijw8WsrqCYenFR9DxvCLwkn4NhJSlKMN+pgmuTqwhuEVIEJpchsieDRXC5GS/D0UAdrTQpGqXhJbMwwRaLliidOfMLv2r8v8xbu31ofCQI3RZT64rFaq5oivpEiLIK1GnUUVbAzH1I1UkHeILEoRjRC1UMpkC3WNZ+rkrIKUbBnMsgemDvQeOqyHGRhTtMKr8cBrKRpoNbvkBqbgPC+neR4JikhMU2qt5ayvqXjj/Xv3Hk/SZhyavgOjALXx3oepsTPYrVrnztfCv4UTLOiZ/D5coHXWC/v5e7yJpnLf3PW9xYywDPcH24LqcUz8A/WkQc/qUedkwfDq2/ejGZ47skzGGmVUX2Xc7mNJ37qKFncyJ6wWfc9XJNuuf6kxvTXcp1mDOS7GpxyEAT5YWMpHrgJOSWm3PaZDEgawy4LaCEq5Fr43BE4/J8/wJaDsBR1roZrt8SqDfzsUNCKusTqAK6cGA3vvXKlfrN/+dkdjsAixDMcKJ+CkH6Q+gW70BQ9VFp/JSD2LM3g4HblYN9Pk06/RWBUetDS1ctwPl8dzj72HMFI7C8snulk13Wu8titByIoHq7p5qaUCzXoxipkw7SwGh2HcZp6wobqTMCZxAr3ekVLc6IVCAVnBFbQgrRuODcc2iE3vSU9TAtQK60+FKWkpZ+MSCEKn+E1RcQh2DYRnA8Pt1n+ZY0W3bDwdy1LpUJSsf3Roham4frhiLfx9fKt3XpVNXbuevV0lD1TzYPLdZd5Um581UKvgJ2PkNsaXNKTlRTGO/ZsVDi3I9Tbq+2/l9TXsRlBYBHvxUqS3lDBWPlOhLZ/V6JSBRktR2Bxo8RkA0XUXFSGqWOreu56BY7L+E2kPj9eq/D5qoGTipFprlHFy4oNVKVKp4jJKJyE17LRulR4RFrkZvsoWvVF7gEXNM2e9ZpUPA0/T86tewdtIRfI56UaRuBwf45tk3jOOnkHPu/gUg6BG3rn3Sskwv3NBeI28ahnjzEnnPGuQJ2OSXXe0oeJlY/3WkFfyBx036XryzHi5mDA6SVv4BFt8oKGiUYjU/W35tE96b0b+vgmeVngtSdzCNMLkn+bR0NcLzUFPCeL/pvJk2HlGTEo6eMciZRmGb5/iQ3Ka9duIJh5TQ45xcSGbX+4DhUwsaQR4Fjx6gk7h0A+yd++7/TpmeEc+Jdt2B5wGEh8zsG0oJI+rT04d3BrHecqGlmBJb3q0PzVuKxJq2/tvnoBp0eswLAOOmsj9mggCCP9yZrj5oz853CnAHJBHpbpT79Gw+98RxcWSUqJwikL1HocZYSb+FLV5GbJoFPCSUfUWouqFLv1M8GitTTaDt63NQumcZxlsfX1qfrbLlhQ3galFL89Ke7hGde97qCEuttfzShqVsLViYJBoWXQFZj0vQZAPVAd6tGu3daaRAjFAi2sqlnaJTBHNc/jSDysjHymAp/FTevWksBHCd3it3csf3xjVxVD92AFT72vwse1ciseUJg0Rc98tQWJtcDjSEQoGhwHDsNACAtE3jVlGbxfx6TnIjY+qfVMSnfqscQXL0Ni/H4qbuKYNHjsvOMa8P3QNqwUOEf3GL0r5y6wlPij8RX2deY6tEE8Sr5zjUOkd+Xna75LwbrX73CIXn9L9smjc/nXJsE01jjzCvCf5sPtl5AQc3BjyXruVIpMHIlCejMaJdaPR9H+7DICP9H07Hl3e5JKz/mDbIeDvmSEgWezajkECihMyf1MDJLNh8D2b9ypI9CIqEFDYAvYBCH93vtwNsHFFNjvvltC38VYwsKeQlhf4r30aYAXDvyCwL7B65QnGO7fiVwunM2NQqJP36rBYmNt+VsBJd1vESGoEHlAsPMIAdXNCN5bd24T6LlGhueJpOLHVtQ6PUCMeBjFv9VIG2DuoZwhBOfnD6e8qJbYBNZ3ZcU5A1qCKhIFRlnMjjHWooI9/1BYt4QQLavQ1qpGSiAd65orcGS4mHEIdq/QD54dwbxfzewtU/RxBJJSvO5oJLA7xDGiEnartHjKEdJS1YL1lrfg46GSujxVcAwBM66j8E9tlSYgU3NEJRABV/i+mZjeX/oVqlSyX4QvyjIOd3zcXGu3U4k3WdIaC5+z/6nBwM6o8e9Oi/RjvVFCmtlquYdNUkI8ge0EeF1VC1QhgG2HJu4NBBHBm7VQ6Zhc04LgVMwUtjLJw/WcY1+ZfOZ7ZX6YAWww2580KB5/tKUqmdpuRiXa3F/jRVXuoJR4Apy8ZjNu71klE4OB8Rlkth66QQNhm/SBjPcg3dFztQys97dMYn2QmGsHP04oP7eWqmRFZpl9Y+lq59vz/rf5ke3VZMxHvc9RTNkJK9dUdkDBHcovDdFghe5lsTyEsK9plettKltuAl0RT0zxG/o0DPf429fDWkFe6vZgNLcAF5u7FYc3fuT1xdNWVy1ihZXUhaeCR+GgmOO3leO2LMYwSUBIN/gQljLC8NKlWwjwy8PTTz/PO4ExAr/Ugu9/pF62zBiEzAbBUK+eDMRYgB5crTatZMuTSt+rOimdypakk67kFBFa7f7H3FjAy8eWGC2/Z+1s3yy0WHlYbLJWMrnem78dp9i2avcAS8tr2wtQAVZ1ObqAre+qJCB3upZoYVyOu+p7VABO4VyKx3vZox5WjfBWntY5E65IgJCFC96uwC3YpCCO0iEqkwo0F8RRCk3YpoKAcSYemXiHKZRgkLWYNDmKDEHh7YW7pdmtcdc+vUm7BZ5rtqxNE3C8dz7vWoq9FxukMj1VorsmYtFQW4hFeuhGmB+VKKMXJcNJPLoqHboXSln5soJ7hg2f1m3tUHWLIGUInGuXT2scDydxAZSYys1yEj3eUUk6ZZjEMUk5ANkmRY10LrcwHKJQuMYEdUCM0Si433qHQ/Tv6WP8KPi3VUz/tj6s3ZQYyocYch927yMBHm5zE5g5qBEGJWBjSbJnr4Jla3Uv4lIZ5KTSbDqc06hnoERJap5otcOeI90eIcaPtWWuYZk7PmqsD5Q0GdaWGDN79RTZnb53GYt8kYxOD0n1iuwJEeWap8ZJyqBSQ5pNbnVCD6l8bQOW8sLD7yVIKX6d4lYHGLZaPx54WQoK+dCY46qVoDZrMoI2tbyL3VBCDnFjALLhsqmDojASUohgE75wztxoHubifk9TKnUdJooCeB6vYRIlNA3vXTjGIEEEarPyylV/+FGWu/1JKx2+BEC52UI75XbXGHohrVjGzE1Z3cVj9zFjieAI/EogKvqc62uHImlzZgg6L6Vk0hxaDFyhpnXOTkl/UmEY1Wo8CAVvUeF8pGxrYKpHD1zPRPSdUQjGK1K8rLyADqUo4KxTvkM8pYyJFuCNMimGR2HHfA4rWhimaJyk+ztffD51bKip4niMNZh0ZjAxiURex+Qq/lN5REk1AR7cfUwJjGgY+5dGY0dF7o6IIqt9axZqcb1LITm2UB/D+rEqYq2NAlyaoFX4HuxQiQ8hP8V4N8N/pIE3tMHlBJL+7vG3egYOkFHNr/vIt11BzLy9Am1uOh+6M2LeGmogDMOp01jZsE2MBOvFapWvYSRQrjsBy6mTRs+H4TqMFfJ8hsNPlpC//irv4fVjF0qobxMAEY5RRoqZK7/WgWAOkcG5jrTXzZy2ZU8w3MJGDyGUtU4mp0zCWMthmQVTPH6E4JSdWLCmNsnWmue5KQRSqGfNBdubiTpUkYOm1KOZFAYyJnRxY8VGQAIXYBV1970sTYOVlpetgFRYFvzoridmGOy4Y7y6+XUfwyEmaUsHH2G1qcJQKGp1or2oD62Qn4kQ27NAx1cuvQGD0ZqJWro23OgIcMdaQq1Sz4t7nsBqni9rt1MPO6MjtqBwRgSO3yuc0Sh1Wt5a4wkQNvyd94Tl0rCujuNWQazWqShBAcYz5hE8tAMVeGHguM0Ukio56IlRks37UFAH8qimCiquWntdZ91BBWHM3sL52YCrMDs67JMM0lybPWGwUlqhxjZ/ByLy8015iaVPK+1VCPw9pdBmrRxXPBHHkcYfj0IYBfFU4LpTUbMH3FvB9G3CXcWpKnZQ9neVPxBCEX5aT6A7xbXCg7c+i3j5QhoVv/UOpTtHgOJHPst/98aftxnoArwdgeAGBwj1D7utkQXeZHj94pyYkmomlr7uBhe9xZcotDeXeM7n3bR32z5DwCvcaUE30LZuAN0g0GhKbBPwx/mIMEzDu83uWuS5JC8qT/Kt1lSx3Copx1itk6k8J9zQrGNqBB/SFcaKFX+eYnAL8BCn1pYJjt5F6K4nOt5rWx90ADx0sgx2dxDYZur53Q3zTS1nb40TFGw8VmwJ7wi5CDrx4UizCMZpUvG15ix79QD8PIrELkaMxRvbWpHdwFhRLPdXPagbw92tW0TYTWg6Cdy5QMyA62AdB+fe9+gCS3dez0GhFUFmQBXebBWuKitVCy8UO3dAoKKWPJSgZXk3qWMSJSR1zcYBZTF2fNxAYSzLpHkXRJLkHq+fphcOsIRovtMKjWZVJusTgaalnjft056RrXs4vMooAV8hknatlAZQITiuxDIKDmp2flEp4xnUteJkySBpGLpQk/dlEDqekrCTuLbWdWiYtYbxAPTehHwU3C1uERTI7Msp4Ji0vTNDtm3YR1amsi09HIckvksDzbXEsYnNiHUHJHIOKyO0FKB9G0lOo6aPXsIhr6HHKYwjXEaQ/vq1u0CSRvf/7vG3fQbGre2PKbdHUzMmwPcSJYRb127XuZ9A0Pq4D3yS9nVKOX/KKKof5WwX7gQ6D38KYY1QN4HskJY3z9m4waNvIwevS//RWODJ3QgRg0i+1pKWIxaJEEdPjfZLFNo7Bg6BHaSbCclPcYCnJikjuXSTpJ6bFNaCP0rNkR6M3b8BkoyidadwyzXtqVlCzyDZmnRCxmByimc31rj8XIWcqErqFVteV8qiGJMCREuqhLNFiu7DudQbmEuPT/UP3wlsskVQ6/XX32Ksq8PzL3wq1usMRcDIuG5JIY8KcIVKrPbUuK3g6AjeYrxCS96T1RK3Jda7XgrLwByV9BPYQStTfnsggmLDlEAVRqhmCtY8UVg6J0mtTwU4LeFis1SyjQkmAU6acCoMPUhTx/G1OH35IPfQKTMo7Rvae7pg31sz6ZuUR2gp7eFao6zDcQ9UocdStElhpCSRwXmdQEla58A9RLyykmL4nLRBPbJ110nOvcwf5mfT60URV0q/C560eitLYiTsTsheOWBNnFMhGTNdo1TM5NVrg92iO6oXxD5IbZyUrhV+01JwkqoExPr6vQh1A9wqUUvo6mVuMDeXLt/OHP3d42//DLSTkKOS4/AJln1MgJeLOzKylNNWfcWqjS0Mdj3IweyCW4MC6CMtVHxDlRHJbw3YNB5FWGdM0quRuKIKtlLYxMDY4noEm4cp3oMMps44X8Q5EjPe3WRDczhTb1yXVcgDetcOFyisWmFk0wGqGC7OU9jq6nAXNsrFx8VmC4c9SIKIRfdSptbiSKCMIFT4z7q44eci7BK7qlZZEYxpVVFslBQeasWJxF6Liyw9zOqG1H8hWUkIZhq83sO5CSVShstd+Lx/8uc3w945TKbZqVMn4y7PHbatmxSzg1aPe8HC6115cltangYbFeD9LsXgfU5rVuGdgEhZ2v4OBNJYIykBnDH7St1jKHlatdx42s4FE1YZVLp93mlQ0G8UV44ZzF03Cl9h0k6Oyqpw7UcecROLFeN1Os+/hHLx5Z2Dqi3SBXxLSmIzbdnCT/y40Q5lchQKndBuFFbwZSxy26KlrRv3aVXJbBe/s4Zfeyra1aXzRmTTqPSYG2MOUA3DRG/VGMfvpVMc3ScV0LVTPIFIgjmzlIXw+U24d8ZIhEjsSJWSC+xLhb44OKTwBlM5v8Z8jKvuDtfv3KJERbO+D3BkDpjVv3vq53gGPoG8fuRuI8DLkC5GRnYT/5s9i7UMrr1CSn0qkPGTc99hQatvSuhXqJssppxz1wOhPJDvjdWdCq8m5/EFkvTX4Yj7+X7AfZ85E1SnpcnDsVhC9+AoHpk5EahiV1zVMdnCDBN+GgDdfp0GixRm1uVYxNK9v7RFMtASyUX3SQg6PsJrH77bussE5IRNYg1qhVmfo/o4hjHggHqauQ13FdJacVpRWpvSwaSIBY/VKoRBsG3NFqAc3IpVIJ0JDugK8IkBQg/4fQjwN29upp2cQd7X37hCAtTUcObcUzSBRguaWx5s+uERx3pO4K1SxHtGZJnhJbySyj5inCB8GrOkuqG3TucKCC3BWOPVRSZYWzBnA516LQqYquniPGnduk55XwS5z1eUpLjkzJWMC7eL2ybazfnxHg6Ag3w96fKVMl8Ct4KhvT9oNYQW5pquUr+M17IJBbMppOWC10++ixdCb0wREoO9VfAoDSUSZPSWG5tJiMY9lfulMs9h91KtTyUi1SP8mMAgpfQeemR9qo73DiUSFNYpARtKpzxln6/sSz2B8OiFgVRcWv2hLlbVxDat9f16WMRk3nvv0rBytwUv+174SZzyh+/i7/71MzIDZXGXP9tlcLfKP+oQx2iEWkVNhhTMG7bIg7s558NE43fvwuSTQWIcTis6Z1WzuiX2TJDYM3W8hHU3Xn1LbMGGndsSKYoAwU8CJWVrCVBiWd+n472BvSMQy82U3IwQsh6Jm5xBmUUUwQKnF76shaCmrDN+miYUd2/BaLlPMFWYpaWN7j997dAX5ls4pgcPHkagm8Iyqzre+upK4alSfEJZE+OU9WBQrRdFsh6MQssCWAhxsp483Lu2ZFM4Un1xk1rn2PjD/abIpFkuk976g1ffilA+dvTUMB/+YlnF448wGEwaARpIo2dZIUIQY0I2lfOUNj1gqVUdtETohXng70BTjD3BNsdlUFZsuwnDSucufDxWaoKbJbx6ve50F2rdciLoU0tdaKW8IT0NhVGuqQv2yL2oOICoMr+MJaUPqgNPZHvDq71X0+hNp7eC3yEof9vr1WZtYrdKwvo5654AZMTrcVyWIzDZaIYEHZWELdhM01fIz88SayA5ZFPYpUEmQlxRPHphOT0VqE4IIb9b3OOgk+T8Mz+2nzNFPwqUD64bD9HK5nUD8ioqqa5m9BZmXtJY9k1ls8akyPdfvXKbvrEcqD1NciAMddBw/u65n9MZcN90qRvh26C2j3E7JcDLX64D7N/ste07/Hh9zzHCWTqhNOztJd6KwJ6HleJemz1VgUuNlcWnEPrse5lrO7wvgppv2EIJgBLAQWxQoFa719Wqj4CBjTFPhxzxZ0rNrsFPnJ8hcUdLMBUCOeweKtPaUwzKkq/WEuGGsUB3WgJI2BgeiSbsHhEicfV7LY/iOifFG5dZDFM8WAG8hiLw3wlSKRAN1qWfY2tyYDCTm98U9zQ6C9/Y4KUKpKwzsWVZPA/g9CJmmBN6uJI0kooAKcfCLeMu3xrOrNyCYkjxnjAlxh4xHytFe6J1+kk9E9eIlxRECnPHkAYS8tXbx6sSXlXB6227Mpd8MpZ1lJeWYNEAq5ZHpYCnyzzz26sehgniUPiOgqAKyujp9Ka6x39rblUpiIMt8DQBzpjAf4WwUlirvsuHSVZ+/zottXpCTyzxJHNVtmJKCQTbZ12YGysC+nzYNwZBLW+Lu5fyVijgOahPxVa3Zv3msEjFy3kaCPiN6+y3Y0eO1XigfPaCXiq0BEXbuB7aR9xnaq7wmdV7KiS9hIKGJtqY/J54egmElpfg+vYAbxg8BqZlIc0vpknx9797KSUiHv6u/Tv47/79t2kGeoZ0DtjI0+r2+Ee70xLgWl3+7hJEY1DrGgglMIkWki/roSrIEczCIkfPUl3wCB1D3t8Zjn++rOx7b5UxOdEEfH2QH875IgFNr7HyQ34fQ6BxfeDKHIK796gjfohiUlhL6YAtTa7hg8FcAcp1dc2+89DaXMLrdgEgu+Teyr3hREsHH5uR0UxUmYCqcCddbgMmh/33/NEVLuGOALZOSKzzlmyBRb4BlhnOdVx+lAqff0DQSi7vFlV/1jfu8XrVDheKsRypiUDGo67jjQh9Upcr86Aj4T3eubtCS7lLgUaKdvjwonmtdaT/rFougbB6PWvNZJQQRQgEd7ZZhkpAdomSrrllChbhluDWpbCUtcqmcuUrMSUdebpVqKfS2CBJt+eaYrdd+ZXdIA3S+/WyJfTTsaioKg89ogB44wbBxu0I4qJAJmiYXqxlvXdeddX0rqSlXqe84Jt8WVMWjtE4iApJ5VLNNPwdCz+c9KoPk4zSFEKrJK4YA9zzIsLT75yV/WQZWadYuqgMHL0APaBH7qYOmO+RGZNG0HhkBoG3ZDCxL00605MLN7zVW+mJO77XvxdQ2pbn3UYBXr9KA997j3pgj3z1z8oTjy7xz8rIfq7G0YuXZZN9QqhsL4iZoE7YspXd3aARWSgGMHf9ET5BeMsqiRDg/ygWJqWZyFwxV3alVGuBe2W7WLfCVpahlHWyequen+Lfjz0+kcxNE2KuXL0xHFqbGubPHQ49rwRBjUWBK26t7alFPkfThy0DnQk+2T3IamYGCpcz8MJU962lglX6YQKLJn/g/iK4ZXBowoVGpsvO56y9sGWFOAS3DBTddHHNUPNkoMTaFTP2OWpawDzZAh4wocfaDRsc4nVqqmucLy2FrEIRrrD7YoErxLXANxCYd5ZvJgVcyz3ez9ijsv4QLHxeoZl+lc3arABqVRLsjScUXjNUcYtnIbaKsAxmrEskNBFLuSAUHwluMsjU0ubfMj+qKmBBIJY+TdVCsV6zVaMwH0ARRViFvkfAsVnHCUAqTMO1ftQCj5WstR0vr+h1BeUYKHE/1WsVo/B7tFqr0JVZrsHjpW6GneLOcGOw96J0eI/sJcEqi1ZxvzOyOwITIVzZG0lcYm6SXGOgl01bOH9rPMwXbBGI3AES0y18AAvloJZqjtXgpq8ncOw6khhmHMEzo0JS6dlGsLN8Jk0qSqC2WD/OwybjWVw8QkXNG8Mbb7JJfkYfjyB7ng9JCa7BJxQ6P6O3+jcwrDrwDx37jzmnYxh4jLpYJAqziRMIHSxkPeQEeTxnZmWyeFK0PeNWEZw9gsWBQL+L8E6lMAR86G8M5Nx5647wGh3qPWym2KfbNe8B2oYWuDsk6I48OXt8erh55+Zw4fiTidpXerFCo3pN7oZvm5OeL5hBahtMNOniMPXCD80sJMq/tLxU9/GoNCyrVBggmX9VLTDlWS0o5OVlvZhhaVMDcOw1MO1NAqNSCxO8a9ddoARjXGDI8pa6NFVHrnZZYgQtgZToC002XfXoE07xfGt1K7iFppPfwWtLeA0KvtzL+BZSaHPfUs2syLaDgAftbxmYAUiaRV3UPD9cdUGk/lWHIH9X3W/Lo5ZwDQQSPrSNJ0pwCkIrPMWxqxFC8cvtwrNj2ziEjj9amcJNxTcvq7o3NY5gU4Y5dwdCKKWTwymX3eFcKtRcB5N8VIpROlUHPJ2QwrSR9lkWr8HNeBf+W0pjr/edpCXXx7WtgHDK/rIRIsDhXnf2iKnLUTTcz1ZTNFHiKg08PvMDDJRXPZt9a9K2XzJAK3KbEryOMwW++M5ppFtokEJ8nbEj8yfsLZuDkxFrJyrueRWP6Z33oJ1as/ln9NHiwqPROdL0xmQPNz3/Mzryv6Fhld35kR77RVQX5vvsuA+91ggDr9RpdzGYJ9bitBBIDmlTEc2yNt5mUT6orEWekACgYJLkoFHEZ8m5GWAgDkd5/hjNSc+e3Bmu0uV+i4720hIVZtQUosysB7HS8OUYTlFqdvvJOgyBAtwkSSiplGXx3LS6agInVmGSP7AK6SaxsUNNlE99saz1A8yDXoA/sIHQgJQ1dmEsdrvWKNgRWlpsHvoNJPEqQlxeb3XgIXEIIVLZflp6Jm5UoNN+h1q4xkcV2malcj5Hj0xtREuV6jXONzvtSqM8Dt0ZVh9U0au9D5RwNTCXYF5acznWEnxqHDsJpVtPCkk5D5ZPtVBNtQNbg5LpPS0uGGxw7iozK7CHFmnnbvt5ngskgzKoFPoS9lUe1uWRvyw2bVZoYb7Ok56BMYfezScdjKLoHr6XwA49gJnWRMXyGHUNEi4ZQTq+KOSCB6SQjNWO9Y0F7f2lrZzWuwrLTj58rrrhVK0RoRzx7OKwa+1imYOLl9KxxAMFkuzuxEQIr0xA/zNxZ4pATykr4y4exIc9ibol11jlQnCdlytbUyWk16hkY/9TS9wCbBNCgFknv6c8QDtu6gmoyL/73WvD1es/2/VRJSIkxUBJ0QRTDDyZaY3x+JGk1d+2N7HfZk9ODkdoNrEK42z1sof6owvvmo7inIxkFQK0DM+PLsIjwPvbQ+vyCS60ARohXBJChzRB32dhK9ko7jkW0M71JgemqJpC2LgfMmICIW2iDgSM4anPPA5jBUto41WR1NQ92eF9j12cHFZv0rvuDWAY4JepY+DoCAZT5LWeQv9SOPCjsC1rsrjPedZD3WCPtTUK30OwXgDHEUvWYjtoCrxmVQ5sPOgogirnGbwzcEMJ8S2EhwK6WqTFVE1t8Jkm9NP8wJrW8ffLQgxE4aFmThQoQKuho6nYHKuGlsprmbmxT6v1px3oDhS4DdJU98s8BYW88qL5FH4d2nIgICCUCEWEPBrBORKOiBUaRomtyVRSTldR6fJvhVZKwzKwEZ+92BphU4+CoYXhRwCKf6cUrJat0l/9wU1q+ar4+YrenMBg6npYMQ+fWJVB7wJUAVWEpJzu0CTZuJblTQo6rxq0ZT7XzW4VJxdWQfjZcNgJi3UsxxtrQhpluroL3WgxB+OXDQMHGyXs81r8ZhY7TmmctsybpP78TCiNKMEH9tJRhBucFh8oKKeX3h2/k4KtytsJ7t4UnVCXJWt3jN3wXwS7U8T/bal4UQ5CZVWsYnp49fVrwyuv3S4D6Wf4oWcqQcGidLGJygEuFtq/rwLcjQTqsPjY9HD68cV42jPHlGfsp7vsYYPRHxTSGLPQez0jz0ORXj/+o3jgHkh/9CCFEeQ1eQYxox8sNcGsDJPtJgRggo5jFP9WaDeZauBTYWUa/SF+Zs/TogoI4sp7tFgDRllcVHXLyNDV5bBhgVpyNgwXnj8FffDMqVPllnJ9u+vMhJnglxdGqxudTMiUSvXp6qF5CCvKg7dqD82Gq+4XiOFVm6ih1c0nexGlnn5f1fXCPI+AsOeimLewSDqOU2BpcsHa5BxSs3AUXEksUbBaPY/mzcyJHrmByjgtvE0vQ4tbgY2uifD2fpy76/Ds7x+zcL7JMvV8fyhcNsh6slKi9/wAOGOL2iqdZeIYhVeU6lLTdprlmEJbCnEFEZMgHdIL6/qLEVdwLWK3ls56yxGeRTlUSCmMVAjbuBPyq5MRquVtwDJBXiViKQb3XuAjWDi3EI7X7jnmvfvwllQeHdIxhXyXDSINTwvcwLRwjQpaM3lr3VIB8u+tQlllXYVuFIdzRILrbyVJzXvFZ8W29/j04uBWnOyB2hHXm/e6dEv3mIfpVaA4WqeRnWav1QdmlPEwaWnWBg8qhn2PZIHKpGkdmVwLi6pNp0Swwq3wMbtOJZYkJs5mUIBP8133VpaH733vyvA6uPfPuvD21nPOTcCTUdYfKjBZZf++PtzQnPO7729gZFyLgbpAIuLcETwrzved15BBd8cOcj8LHc1oL3WW07jw/rhifC+IqfWlJRTx1R5a3v64j8VEXDgDmQxkk6JVoQZqRbbzFEPRQcpgYZBvv7IxvPf22xFqvm/heOG6Xuf2Dev8cgloiAl08rmTx09zQOeALVaHOdJAZ6CAOab0CFRQpwJftTTzoHdcM7UtFGAItGW45IuUPdxvPQW74/8CCWgrx1KrmQzXu3zmPZxYap6KgpvaEm7R0mqKxQqI27SfU/hsioOndsrYbvYW+0+Tk7l+3PyaxzyYE13RdDypr3/oUawWgoXJTjRYaiEvm0SUQO9Cq69Y76gTARIhXkku1f7NzvTNRZPVwpcZpO2Yd8oFcM96KFV9UG2u1WzVPGsiVNGv8jKq9kd1opflYf0asHG8llv02DM4O/Lq+CZb1h0Hg7fQU2h3rpVCsGXW6mmsUjnN8Vd1RK3UwsI3GOM2AcdZ+5MynlVa6WntC5M5Lu8xY9UbCeVQiKeYLc519ptjEI4rR4p74jeB5hUSrNJAmVaAM0ikGQLQ6ROqt5ef6pwzeuRrVGAorlmDoNWzNJYUL3l/ofbGINJbKTrnfVpX2cx6mcDIX33nveGdS82lfXi5f2b/lYJ14/ubv4MWIT2CIP379nBTmOh1G4MRo2ryJEbS4j1kF7JiFePuIFTMfdEx1DZfB3GcPu5UFoTiWZUhkNrUfpFmm7ueH98hLfA4v9HEBipTZtnBdDfBBW4Cqmdleo8GOeV+hw/OZ+5d5/pE+WljmWBm5D5vdIOcOTM5nAQvVyjuEOG3/gUclcbvxRLU6mu0uRxMecsKJ2AMrTtd7bffeHd46qnPDydOk00UUTP+UHoXkyOMCIVETCBPW2UoCr+sg3srWCK8U6SlKIMJzPp9BgFTq6LqhGgpauk5FVpsc5TFXTPRpwmL5NJoxfARsXHjA1rixtpk4nhd8XJg01KUbdCOUT783aUb9BE9HktT7FfYwGBjsjOFlswaVPCSvaPw3WWeVIIK13W6ayjcrDoos6eXnN1U2K4h7AgMx1KP+1UwSAXvsEnxOla5lkpDq7wCy2YV7rFMet/Pbt1bd2SZm7Sxgdaoj9BNwXxJPM0cqzQ35NULUREUncTDCsaezEWFo8tRk+D6WPzJ9T20qOIoKqDxh0AYjfppskwULJM+Y4CStd2SXcO/E1t0f2fNazxlGbsGxSTaNGjJe6ftXBKfrsFhD+2fWps08+A7ZEIdSr1yvUfgndBAi9GSFoAaQ8YSuNcpFv02ZTy//levUSrWw/Pz9ag1YcxNOTn6qMWPay7+fN32RxutOTDIxHVk3Pok+3vZjbvvox80Tzl25aklK/MTzOeIB16YXzPIvZp/KmHVsFb50wv3C9h/MVyP8aPlLBzQqHER3lrffgbhNFDvOzhCGUj5LSZLtnnqS2+aSs+h8u+VVdkbJkZwYO2SktTxqjgRt5RDI/a7i5uri2sFP7v4mAxxCCv1Hl2XN7fBqOnPttsglEdWoAmfKgolb1mhKu+busxblqQlk3J7he8jAYSefBvgHdvc+C4SONi4t6YAT4snrFMxcISTMIaLIGwSY5D7Mi4g0yYzaq4PvxTm3EK5zrJwhEmZ4zAZz1b99B57VaitrK8MN+9eRsCvEOidJ+nkeBJC7t6lGQH/XqQOjALjHoEFxyj8pXe0cutuowRijSL0zDq0hvoq2aUpv+pyqFBUio479DxgDAadDjyyVIQk0lXGuRJicbcZ+FRwekMlNGP1o1jUPQr895bV8Hsz7/fMKGxZ7HXW6VDgkOJMO4hDrTNOGmzIOJITbqXCyECsduG4OS0d6+BUQS3r5fgVEc78mAiWuVRRovwxjlNTXIWpIgmq4dZ1/xUxqgLpfEa8fmaaJC40qJmdk1OFFQjfPByJrXtKLAFvYAoW1BbUkg2UpkHmdfZHuhoZS2n5Bip6obc7d9eHr3/znZ9L4f3IGfr36YluNXfjSgGwXzg7HxprxgM87Ae93nEOPy9q4W/3tfsp1G1MBrdbBKQ/H32S26XL8k5/Rj/saTTp5G4JH68rpp0v9xNi4e35FLdy0M1Sz+8GiUSIK9A1OoRgNHCae5E4YmNp7Mjj9jIhne4EJzx8Cg3hWFJuU+WPJWzZUo1iBGhVkNOKKpqcOO5hCkNJEdOlPXAWnBuDUA6Yj5uJV0wKrf3Ciw9ZwxspuI7A2YB5kUAigieNDQADZzGfdfDXoA9ugA3fRxDJKPChOzU/D0aOKz5tsNBF4nvmmcv7zJOUTNGIvF3UxUV3DvjeYMZjC+dYlleAoG5cHY7jnp0Af6ru6zNhk4hrz1KH4B4ewxKFvObpFC21UWEqJ14JOA/7RErc0vLtYXnpThKMZhDmPmzg7Lz2hBwt+Q0zSxmEVqwwQrVj81LVy3Pd7hsOMwpQD6S69YTix4CvUzJ32X6mTYBHZ/P3CeZDCbthf06ZRkI6Bse4flnIeC0IcEXoAs1X05TBPqUm6IQqyij5seekVncClkyilvckk/oAyawwvrcGLKeeYT8pvAP98zD/IGORLaXQ5hKWcJDuqbW+OF8ZnWHTxKvD22E8PdhdV6mH16nGEtVL1H9XES4MDCbLipb4iwV7+Rrf9fpbV2niraXzd4+fuxmIlHUTeWj4UUQprDyvPt+c+GyEjkjEuhj7d5ePft6fzk7TgAkCIOghVbqE+ciK+wiTVQI8g+zSo2kANvo0SIRCxnoogUKa+zmLQNLS8yBkoAilKa10/g61iAhtlIAHyDNfTKu9SoYEQfNvJ6JiPsMULvIs7rTZeva7fOLsMxlYZEGGJm+78Ov8JpAopGFij9axQdIH8MrPnsGU1dTd/3DsMW+LDSGrQoFkNqFlaasIv0JFOiGuO1iu9a4VhFNYu0hvCk9h3QM73CEF/j5W4BpS4t5KJRLZ6zJriYtROUiFA6twjIUZH9P7SK8K71/hrq7QSke5Zf7GBLiCUxriq+8sDyePrgyPHb8/HKed0ZmTZ4fFw4eZpy2SgG4jvO8GWvFiCqibN27j3s8BR52Itb1Mhus9fgxgHoYrr6Z3HlaBUWx+oUDfJOV/SwGO4BdySRajlqXBRv5TWdgqTqVZ9dQVwtYHl8bXmlpw96taoWPz7v0c5nqwrWCEuGtt2SaDxmClnZa4NtRSmytIU5tk/Uyg0ppVwE9Ls+T5daCOB+sKc7McEb4EjTZIlJJrrxKzwqMlCywWNute5aHyzBlijkkTQLkXBt4rtZpW4C6RMLMZdossnnIlO+tFi3/8frIVuakUoPKnR//bPWe9w22XVmv25yw9W28Ob6ZBw989fiIz0AVq8+h/rGvmnH7AFTQ2fbiJ/GmGVozQLrQVxso4BXc0+9i1iji295x/+5zvbShaL7j249zDKIg5Et8BiLnk7QpShIamhshurwFp4UgjimBWYCOIwxP14aRovfsQUvHC7aYjV2W2aJX3wCef87OBUlBP169cHU4unk3CwzpFn3xUdp/Yc9UySdo21mSSae5bxJ8CWJzSw6cupkHxPU7yIzxwjUAtRwSOLq9lPh2cB84AnMWrdsimlAdtZl1xz4UJqHjI6b9z9w4CgvesFe7t6V9HoCj0xXFtLuFnVhBUwUB5mDqvwLCQlZmYPhtXiYWcOVnTkvykA/SNy6C1qFBaCy2JKodM+Pzi3LBwhEp6c5PDGhb6PMWbThw7ggJbGm7fpKAXUEP44ku7w7FjR2u+khq+OyzD0DEA6tymmBUehME9A6XpJGMQjv/uWQIVi1LrekPpKGRksopWJRhEsHczKXnvZDYGAVHZKqFSjj34x6yQjAwVrW9uo7jcQkkm1LgWdT5UNq7nOh6NLCYt6kUEulCH+qkYs/XeO9zbLfbn/VWeISATAd+tn3uPnsh7fP5Th4Fu8A7QyxmHJRxmWQdiojCdNofzZ6i4Y5BWjDt8fznbj57v6kRUSUdVxqFiInoHemkzVk9kFkzZN3564zZZun/Lm/GOL/lfy9/Kmv2a9WN+sXLg8FOLw8ZNio+5QfY/vH5DDA4d5h/H2AvE8CK3RBY0FDq00qEWx+Wl3IsdxfDQey3/rcBXJrbAb3raJuj4QVrkR99UB71jBqf4vJa4X8qfG7eUQvUzPc/RFsO9ipUkjuj39kPDgLaW2pc1iCU313Fzg6Dc9OKTrQ3bnXYTPKcFuntDIT2NcJoftm+v0nfzJDAAmZBgy/LCUy+j32asHgbYXI70feT6s9RQOXniNIdQXLj7KPsnoCZKy7GEkcyL6jaTBgGykzWnKRU6y0EUM5Y6J46ZSnPckELKx/pa7SDjXlP8n1Qxq84ZODQD8PACNaxTuEn+eFHXhJGDi/M3EHvxfQoJemQNvU2rPRogsTXdlSw6AcXhclz340dOBALaQSgtgvtbpOne3anhyGl6b2JVi+3fpcSuAkVFfOvGPe5nczh37ngpRH4CQYCdGygUmlAgiekKcYiLOzcbwEKOL4UgO8c8grUUQ5J+mP+VZWAlt89DJjgf5N/WP3EDJ5CoJ6VhAAtEpaI17csbps3zxzrP20fVa6Jn8lsBruKTzUTsEwVdcYN6/OjNr5KYJJB4eNLgMgdWIc5zfg+lvIfjR1VQKo2qruh67rLn5KTvf/REC7F/M38V3hb5chwqIZtIhGKpwgkfvR+SRy71d098nBnocq4Lgh9P7sXAEyKbO8u5pYl0zAOv6VJ2Y9Wl82eJHxz7icdYX85kiuhppCqMtaoLlazPu/T+VtArC7twV3h7hpvw9u1VhuJH798Pm6YS4AkxVxDsoQpsnYmi0NFK9r3c0C6DS3evrm06fdDnvKITsNxu3oH7NG6se3lby/5EWaEKp2DjXPjIItQ8/N4dTP4ZqYTQyoQwpIQlTd2kCbHuVg8kmZkMQqaBjAkNatkaR6kut5SaKI8+ZG6kO404+ZZBO4UEiUMqLgQSsi5u/CrW5RosjQktVSz9FSTo1BzwgwqYIJ2JOFtYfUfRyjUvSmZT1Q3MlY83g/uswH4gCCrWzDyYBGW2duiETvsHrR0vKqhG/QS47DLKdA245iZtju4swba5uDYcmz8xnDxDOVruQUW3er/qUBsPmIN1cgfmw9ISiU0ImLtL6zV3LOAq4K/0PK3hdSCIdWlu6T4ja0KrUoUFRVJBx7NW28st+g7+byN1ZMSpvf/C+oV7wk7cZxn5/m0DNewtDNuWCGQzamEG3p96J3pHcGmT4Vnwh/e+xDzbl9X3ef1Yz59kv+tJsQB6RAvEMeJ1iDrxXcJXCtp1A9bAeLFSLLGANZ60933bKBCKgWzuuzKGc4AixC25YHu9UAiF9oSIktr/d48fewbG171DFj+OEOd6q5dpvHKBc2vgxBCFlrW/6wiXfIu9yP9dx0h8nkOMIbv+NhuxGbZ5n3/76AFKx+fzR9jkeoTyl72WcnHM2z6w2uXHnKgRBt7pZI9knzlxWJmmA4cP6qPfnALYgXkVBXV3bZwEjWCFcxu0gmtbS1u4BcE3CUPlEJalz4n/fvaXHg81bhLfdho338QOcegZ6FpylE2hTsXABM0MWlb2pEphmtKzRzmJTz/9HFZi8YgfqYXiQsR6V0hUBb65GSx+62ST3z/D9x6ygBXMDxvRegCnG1SwpbLgowoV0+DvooXNTFMASmeTPSN8YhU6g2HJisTsnle4oxDuiYcq/LUmHS/KTEs19dH3S4i2KbcRXplT509iB2ugwPS7Dx/fHr772jWw8bXhl758dFg4cZQu7MwZk/H+5XeL787nbt1ZGa5e3Yii0YOai1dB8DXdbZg/cPQFaI/mICpn1oGHHpiAwlcarzQISOVVPltQhgleKyi2VYKFCmDfFxyf3+S95O9xHLDogSgfPmcgNzVgcBvljU+iFAzorgGDGMjUGlm3jszKISh3WOHqwjbnn0Rmj58DLWmF6RxGgnlPSZ7VIzAOwRo9CI9dimZ5Uiq8OfCVGXGvAx4Fo4CVp/C6Aps5jCdndmy1cEuQV2H/iTTOxzzFPytvdyOMB+/2j8vXugX9ccbMMljeIwF14ddxK/zABWrv6bLK3/s3kefP/bnMRuvWsYgBZ7MTLcrKavckjLcE7AcU1zHsxLKOsfaWE75bXmYs8yV+IhP58Al+vG5HI7xmg1qkKZec+uQ7fISBpyg9Ix7VqPULFdheX+tZrFsjzT3tb4W0msaPdRqh//a1hm9PcIMzCGoIG8naDF5+hLcgjKwrnvR7Pn/yqWkChAgXzKzDSLdDuPZ37iwlI+/82bMIWKmCBhplBpg8Uu2/0rUdi3EVQXSGtj6PnXuiuNuNR+y6jT+EpmVl7AJ/THM4pSJq6Wo52lptVzpJiww7D2vWCceCtkC/tUGWKflpXW+FkUlICutQxcK5Bkcm6GZ24QzW8AJlFnfMeoKetgbQukJmFiSNWH5atsYQpLs9sq9UdAiWWOpuppu1+Hkf32uj6SUcDItfrYNb/cGffHN48blbw+deeoGElMlhie/izlIz5jbg+30dAL7vsRMzw9mzJ7DigWFYjPX7zqnrovDSKrcaXwVcbS/pFAr3+CMmLUqgANbzCHuDf1PTK1asJQMSwO6Wx9ikJzDsMot3c0+mw3utHX4Lr6s4vJ7JlVaJVMD+pGWe624TjmluzICpNWDi3bRAk/e1nkCwAdyywIvutH8H1b975ly3oKpyYmPthM7lfOHJ6M015s7BV/pb8Oy4UPbWF5AhxiYOQo7GBaJz31hCHzgLff5FTI/XDwjinoD9KNM3fsC6QaR8ctxKP+WS33OKnzvlgE0+wfCVb74Hg2KXs5GHJayt0pfglf/mBwt712C711ziRyOmnwMxc636/UpHGanhEwz1x3s0CKVohNVrkkdMsHbhrlW90T4wn/N1bwCBnIPgcz0qqxaSBWCwjkMudBCt1V1s/h0XlpubAVtaOHeIutg3BujXw1Nnn4gOSKEmDpF1we1wcygdUKyGJ0RQOLaBIg+7neQvPvEUvGguyIc9hL2Wymh6eP8MLrECfp460FWMCguUv9cSmNSPFyMt3FL8Woxzlcwl+dhiw5tYamfPHg/uXeVlgWGQPEkwMTFIJggDMCh65sxJrFISagCGJ+GYWw8jIIXxBK3VeARt3togcy/MmxS4HefSOXOOnU+1u4LPOATvO3WBgCmW6quvbRCcfG1YoR758889Sdf7neHb376W+hVeXkVB43vq0jAnQBTTR2aGBWIE95CUQhJTrKkWqEI1aQDCPcqukkMI+2Zhs5aOTShDTDkFBfUkDRkomBHGgYLHXERvK7VbeH2NQft5k5ZSP4fxWaok8IiH5ZMbIaMl/rA/tk18wmMSy09lSJWn99rWQG/P4LQW0QTe00SCmPuTwcqLK1xbzNsZsiOShkR5h3aP0jA4xOYXplpRO/1tffQ106jzjGv/uDndR/sFuGc/GCwP5cW+ffKBU+Q5cN9f4XcXhD9K8HXHqRmSo2v7OV/zXHUs2ud8H0aRwnYXz3fH9/C3MmbiKHLmEvfEd9uXVYgsMk/DqstJDS3PaZdvfmG/vs/31y2+dhx5drMm5yeWieluTp3kxu/NydU9UNMIg7gHFdgO0L+9gR5R9WZ9jwP1x5tqAmebSbl/m6ecIMfMNXVf6W6VtmuTCnBcajMLr9+8A+tgajj72HlcaHjLJOY8ce7J4LlSyxSY1VVeqEPrbQ0BcD+H7sjhk8OTTzwd9kCKVQXTf/SRzyaDUf+5akwnAKW1yfOrmIT3YWqsI4Cl1SnEN8m0WabouYLr3Jnzw+MXLqb/5a2bN6JQtNy1wn2vWP0RGCv36dQiF3saTrONjRViQi5k32cODqO03CgjPih/OuUWu1pVsLTod+a6za9NNKQiKjjthhRYi3V7/DPQ6G5vD3/69avDG2/DRLlCP06v3TaqWZ9Mz3BPhUOxHZXN+iosHK4jTKEA9ZoGDIVLtP5T2lohx2WcSal43r9YdZQL788U6y3wt3S+VI5s8Y4+8wpJMWyZHu6dBCM1zriOMvCRWtMHrtpP5skHpONb6lWO+4TWg2NxrptRsgE0lEYSSSCrJsnllR7wGNO8VXddwV4QypQlAzQsUJKrtlwTN/vb+ugbxPvrQT1v17+7Jeprvk+B3Q0W/61M+FEP3+/n2L/DNX5utWt3ltsHfb7DuUK8/fu9lnu2y6cOaahMPJeiA36O79oB1vWhR60XNXjeNDr1LBiHcOauMrCfT6/B33OPTQ6nzi0MG8Apd66RlGg9FGXi49yw/WOl3EJueHCjBtIjKD9qGj7s9VjgWhqBHkTw0oORPzX9+6Rrffu3+9kfB9UFvGNZ4qfjnwoOb8x/C0/wb7vTd863Qjs1h5gEv1Jr+r7FrZiop585N8wtzA7f/sa3qSmwPVx4/CKSvhxWEzqkbpkgYRcT2QrrZGLuTs4PL3z6C1jGFxOAS3dxLauQ4scfVSkwnehbIWPZIusIbUvCPsBaWlu7x2v8zYqa7Xcf0/AemPF9gocGtU6dOEfA8HCsjK3FreHmmpau1DEPe1UBlLUiPnqLTg5TwELS7QruYAq9ZzYJPRyGOcbSYoN7g9TqdXMo8Jxvf9wo4scI8GmFJ3Mr9LCEVTC7MDEcPjcz3HyfgCOS8d13mXA3Iqs6cYzr3GHeWLv7zP8y+PJlOieRbBroao7XN1CuMRSETfhe6Y4WLjL7MennjFGh64+LoDXvayFZOFZ+eia+CkBqpI07OgTSqZD0u/h4Dxf8IIvc5318AmvdBmeWGFi3pCvUw7jKXMe9AqqSRhym4ot/C6kkcCW2PQJCx27Bgm9a4gjq3gha1s6ESVJi35IB0Az30Wzra90U+3hT8NC7f4z7/tBv/ajXLUfjgx8K47ZPY+g5oQo9IIQJWEaH6Nr14A6bSdnQhfePWsP+ncoXZY5CnP064lx/2I11vat0c/qb9xrF4o8Gjt/vT7ecNUIV4P4orzyDngHOSQS/12zXmyCeNP0cLLP3sceXuQhncwKoeHKGhi6wmJ78zOlh+fH14a0f3MQo5LBYosQSw+yLBzatduPxPZ4TWxJWqQ7t8aZhHqJyffi+aRi41mgloBiAy8i7tvIGO7Oka0QXzBt2YhAo1vhOJx4nZqlNcpsIO/OkFVt7mD7vQyHgW8JMQbNB8oC37GxtDu++R/o4z/3SL8sEse2UtS34gJX0DCBJ88IcXYXPOD1/cnj2hS/gGh8B6hB/1qI+GIAL71J1FbxI6xOrS7dZOgySaxtseBdcYAPYROFtsssOE5zqfQbBJmaHOSKuO0jS+0gA+ybaAUclZLBVily64hyeRsgCvwCwA9QkNRx2YYK3wifrb/N1zqmW9vhDmeFcNWU4KS7HexSqxhFEeZy0VIBEOB++MDEsEVXdEKPzlp0+10VrQaHpc8I9/L7ybj2vtWFtlm2USILSblauryXtGOOuqrD3P5BN2z3uccDLSVtnfJ7dcQEbKMbNqtBvhza8d4VkO1zplbzf3R3/Dq4xw71532mM8AkexjBc91n2zg43mmQlrmPWqHVoJi1fi/elR2cT5LLCP0hq1WHr56z374xVxeF8oKUVtlRR1X7sx0cVtB/3i7yux31cx3Sj7WAndu8buizwGT+vtdvgjlHynpcn0HPoBAJ8iX80L3yUA/Jh4+0C1n1znR8VhPvbvdmgvg9U5I7F93ah3+/P71cwd9xbYe6+8xye4EdL2n87B+0s5HczinJWuIbxmzQQkR9OUb7IQM6qtXXefvnuMP25ieELX3yB7Oj54a++/haBV/bFWWJ2eGO7WuUqMs8EQaFDYKKWrJai22/5Q5XlvjkbBTGTKKFKcEFdPCfBG3SR/e1NdK3pDXqQXDD3abOwQyNzwtvzmRgtSiesBYx6JlKSOkie2MW1XWNCTp2eGY4ePzJcvnYVQbJZzJIjh5NMku7iCEa/1nT/dGnhy3YxZ1/89C8Au1xMADTV35zYDzHRUnnQ42c1PTBwLWet7VU6VNjIeINSYgal1vlbGuOp06eH2XmE+YplWM38rIL/uuPTgMYP+G0Vsml+bMpsYNUkGRN7tMB2uG+nlfyiBBRT4Ms5dZ5cyDFLRMtYXHlXQcmczx1npMzl6rXaJH7OomI5d2y4eTbFrcvsqH4d5nqG13cRzlsKcDa9zJAwG/0evSo3oEqZ6+kNaanL4Z/ivQr9VJfrHlM/pD7nTumHer9Mcg+4vq7/uGXl345ZJeRn+0FivCq9BGo77DIu+Lug95pe0s+pGQSsO0xXL9Vk9O/cpzz6W/xtYTAzS2ewkJbYj/eYI1koOHz5+ApxkKNHlodDT9bNhT0SwTl+Q208KfxmMN21LUun8EzPkEUZ+ChB9ruU1f2JJPH4Fd0D/lGCdfymf9Tf3Ugbe58eYKjCXVFaRhimUgHc429sU9Px7GYc5B2wlDqTQ4hyCg91gr2cFnW+78Ockm49j++1Lnjd5+LJ/vb1/frVf/vj9ZfanHk/vtef8ViL8+meDluEH+/DH2VV32POgdfx+7jOIRUCr+vZbt5wktrn+fMBz1FWPvf91vfvDGcfv42HbKNsS0Cg1A0maa17/03RaZE/dP6duw+yGXztgEeDUNor2ZD99NSgIwQYnG6lN0CV17jemYxmqUUg+LeT78161SZwMuHemJPqT4NgJo+Lh4JlE4hTwAhTvPrG28Pty/fBnB8Mzz+9UHVH7Jhi1h8Fp6yIp/A03X4VhsqJ0+eGZ55/KRLCA6dATVDqwE3ehDYWkdZYZXdW1cO798yyvG2SfTIK7xN4Eo45e+48adgoEQT5NvdgYNX61BtIn9Rfwcqaxy2fNllGK5zXzMi7B1d8Dg5hUsVxy80YDG/eoSlYVY5aFGMPh62DIMWwExcWsORNoyEEmrmT1XOIz9oww1rt1961MUO7Fq8bUzuCe7d5Do3PWqU5j5tQpeG8u3G69dE2bYLqKNJ1LIMU6ectFnzKWnWToCtmx9sw4wy9H2h/+/yjsi7PTcJMsCDVNvvI/eH1E+VXYQllMO58vAupBtHMnGEj6X2w1tukzsf67gbG+OQ1Qe/gxRm95s6+NmUJUrcmDPexiO6Dp7pVteoTD9BLef/u8NxLG8MRcv+TKj8qL9G+rB2uZNpKYXX/WMXSphTuPyAUjYgttKa0xSW490JMP5HHR7yOzZsnz1jSFCWzxOQfNF/7B+REOLfKE89yVxh+Z1KN1cL87Gd3+Xo35Mav2S175Qd79QFnewRl7FfA+8dykBLukK5nZ7/HML4P+7W6IdH3Sw+qjs9hVxSO0fddqb05Euo8J+Fg4nzd9mhre270cv28P8favu+Kidc3sfJfe/NyPPEts6j9jOUaPHuxQvkRpkwm5vgNdOl90EE6eBeNLPBgmu2/MvHqhjwMCqfFpw2a1UUOn6ef32UOlO6IE+CieFMevD5p3PhDha26tvcax8utFhVJly+s+2Xgjx/sXB9W3uJSCKrjx2F7mM4NjLFJB4QJqszJt92mF5tCcRJp8/STLwxHjp8LU0L+btbeOhrplvNoVx6Fbuo8m3ABM2QbpbBK6yAxUetGr5LQYo1sC0QpTU6fOhPetIfzMNxBK/ZpX1kXXK8gcE4rh5qaKUzUpq44h+cQEM+xk4eDrU9C9TCrMsK2WwJaufsfGjkKd+ZES2gdoZMeom68/z9x/9Ul2ZUlaGLXlZm51qEFNDKzsqpL9VQ3p5vVNTNc5AMX/yPX4hMfZ615oJrq4Uy1qO7KylJIJIAAQitX5tLMXPL79j3b4rqFRyCQwyYvYOEm7j1in322OluwBrEXWY+oPcrF8GNjOO9J2lNS9dDQIj5tGMQcEnr3IeNFArC6Utrx4gDVjcW9oXTh5x1MWAYuRqhxJaH3c9g16z6jHRkN/Z1AkENbYGAhJccNvAr++UezxeI1tJF9YEYFppRmwttTMHuYKGNSpZROKOnwm+adkF6FmeYWx+D75pXEyfHaGWOYwqPJe8+360GYb905yfg1D56yRgb0iLrupYg45uWwj3ATPYGBe6RvqoZdTl9lvOmclV3Xpe50HTRtQl0dSI+pNlG8fb2b9GJCIzyiaMT/ry99kmdudzjrILcNB7OxbnlAJx6NMoJk0gIjmXaByzi260gmF+61V8wk6Y3r4P53ukVIG0MosO8L1mEcBn7uoY+mkMST1LwSRLmWBdeHiaNSMLAvCaw4kM8kruU48rM46nPOO4W5pGl+LhJ1/O733ptmE6dZpHK1hklMI8ebTJ4+wwyYzM35NoVFn0coqGtJIrgTG2Lh7HBIcM4KL+KwYwuCLmg9O8vBJ3z9PPrdFbAvXwUBj0fkMhK90AvrgQrT+MgkDGNWQpslusjkPxepyjiosvljsyyVzcwmsU1V68i65+TlVl4KMEwopFIJgBsOIB5u1Nxuab1Vff75JxBw7EPmJSnJg8z2ZhTgGTtylaRVt+9+hqSjjdxG3UiMP0p91UmVLuNcDZSQui3VhZhrtZtTTCZniB2H5Lg9Jq46ElSRG+HGtUXs3VNV15zaAGEKSXvZiBjdDC2OECltratoLgw2cCTXwqQCsrvhI4uehQUI9jCUXqJxguYSCo6bamQjBR4BhxPgMQ28dWXq05ZSdFwSPAmZiwJxay3XZokJiLCmEGHZwt7YYbP0VNUcA20phU1zCj6JZL7/fWMj2j/IZYoD+E11ARGVoIakz/gmbmkXpiuR0nVkXb0X93YQk4hWtQoDFXimtcy8XdTJKzY69xzg7qIaOX4zwBf27BmIw94/1IyjtVIHQ/Qk8PRhMknt8JF33Y0BtdXFsXOb/C+6YKkNqsoKNN6bCla75ARCw9QC3kTf1/c4pHCJFG+XZiOnzRkH1Z0OVX7aVquvBcvcMsurBGFZbckUAngY/fDiaeQ2N3NhoC3tKVTIqK1s5CFmlKKD+Ws2C9dTTX0elBqi+2NXE0nLXN7SZN71vW2npJmILtw0IeJeEx5X1xsDkMErwSaRbY7N+bmfu7yKqawN8Vr8ZIEkYbjwxqH/e+wewpHqW+OzOBi8LkxD4k+0qtrfGNkiJ4l4PIGJD0PNk+A3eZyELQmqf6UXKXXnfJV0HWMTdjl/CXMyqWQI3uv3Pud9flZ4cjrZXwqiOSYFI9b6jILtZ88KnFNQTXOwQoNXaqTJkPyL8NQHH8OY5mf7lAa67xVWcE3UEeJNJGZi4FVcsrlQb7+vTSg8FzTQU1KNoFJeCIRSVWzqJf5KZJWWCLZQRVBCVFqSqEikL7q8AICvPACIs0KlGwdNk7qohcTOokRbLG6aVkIClBih+i8sz1aLC+zkyMCvgV+11FNcwu2Fw/R8dePup0jqy3hfyGFkPHW9S9O46mb4NheTQ2n3NqLTw0mIOFL4UX8PQikhl4gf4L5ImS1czebmFiHQSN24jpC3MBL4z80SZOR6sGFrdzQkLt3zIgrTUmsTYbc3x7TVz02Rqv+xHihGcIZ0m2cEo/vBafBbB1hL0DQpkZr8zYZzAyrpAmc9WcwIGekD8Ac3fe3rZ0iNSNKhodEWruvVEflJJjlAWr83U22+BIMdvAvNZrUs3jRS0gmE2PWPA01+D7s4f6fX+cg69+nPIAfNHhOsrW6JehH1DGDgr+Wklu60OfTljCBMU2+QLPdYDw+EjiYd1w6Gdu1Oi5qpBGVBAGeue66ASUMV0/kxtwga4+aJazXMrHCieeXeL1ertaWV6jf/+F219xwJ2M1NJxE9ShtjRMXF4CVGMj6eC48nYD33MWcVRF8dhY92xGdUyAvVIr8t0/Y6sFi70RnW4DwEuPu4qWZqeeflueTt5fWI0I36rHwZWp2FLtSM7AzJvU1uGk1fSulxvS1N1N8392tKsalppOTogoITQ+cA2yo21KG9N+91b9HmAMn/DFfREKg4aJi+j2kPs+QJXhKx/xCehpcgo32HEgyRKUyT86O9hPZGCtxTXOLUtkKyHJXes19wxojEEAgg5JMLNUM3g6QE6xx3vGnNnBaZnpELcn/idg4kJWPXTrogHIoJNxiV/Rft9Eof8jSJpFkH+jU8dxN+zllaJjH3cq5NKTrXKJmA9zgGcMxc/V7hHeZ39uEY7dP1SaaR+1tgsp/CfCb+2b/MCAFuzD6lTzKCOY/ClTJKAKV9BE58OEF/W0xIux8D0JljDG5izUroHtIc9CTto/ajNKbQ5WS4N6RDJ+RedOPxvWf5nXtE+73ie+0+LJA0N64kYqnCKLXT/iwhz0ZfnmtbNEBG2msZM90VIKRrt+5Xi2u3wp1QNSTOb0PyKA2G6lD6aPxRcj7mwPIU3zpfWIvZsGxU/LoPUJd3qGx/CiGxLqcJtSCNJIqaq3bxS/cgR8Itk9CkMs4rXM6CS5nbQxGZdVogMyCHl1v7MAhyqBzyWxdktZBDzDftYC5o4wpTBvDUP17bazjMSFTzctNqWuEeI1mpHBftXYCoUUmpXoI4EBaxhL2wvPEpyb1kIq8ZK32S1LCaWRuvFm5aaBpzzyZ9ak5hXB3WWlfAHsiu2XMgQQd5oyKLY6EDUrVjN643oYxk9mOYK2qA2QapgHdpk3u+R22OavmTdnUEIdh+fgJxMIzesw/VB3IEfb6AWyUMT2dy8Un7uAI0TGMWc4j26sg/z+vFw4Pqzp+tV3/6J59UfzvxGF98GDFjnSQZlcTnFDt+r82OgaCMMa94TvjRT02IreJEjnRcnmZJz7ur+YPnbtyaIskXQIApH0G4zYt+Zpj8iEDk+q/OASRlqyDcdYZGpV19v9194uN4ZHLUq6k0cJVgJaFwTCkZih8SKGEo4SpmsnQSCBOVRM/LhRbHcy/63vaK+bIPPAMhJDiOYZ7G9VRyHIIduGgGNeLZ0nADNCdz1Z/ABENoo90epo+TNvBRhrLdlDjLEAKmMnQ00wkKlPcQfPSymJznHMrUyhT3HePcIhgD7Q4I5zV5WewB5+c1IsT48wQCwUl6VQkT55EmshxD0YhyKMO/CWfpDMt0LrGUS6fgKEydSzFzxG/CX6YhofVl28LVMQpX/obpRFgKf3+3DV/C3Hv9mxJ/ERhibr73e/u3Tz6HFuRvxWpxmU4l4X5rZu/84g0BB/nqitu6tnC/HbHhlbRDDVVlbRAUN2fYP1WxHQxAMDVqlAeSeHOvRGDpS1RapMNTDitV6SIXCrfLiS5YkACOwLDPYgc1qf8FZg2L6U4hQbg3ztnZZ3DxhdXbSEr3YRAWt5XD1NV1zO+tp8qY3CYGN7przJpnKL6pU7F1YyjuY//WA6V7sBNeCgYKzS4q/a/wWor0ouOROq8uJKy907JrYVJwyLTnoVmULePZfSNWCNMfYDJwaJ7Ae0BmxjvNKM4vJN2m2phLI50CHhJxXQYviOi5/iXE/zHIj0nE/jy8jORQrg1roi+3qhpBmLXkxO9GO7peMxB2z/GiWnzXQ2AIJ2s0qYbjIacBUqhxwTuPx6ule3qwYO54zWeSOslkpdMBSqZsIFKYxGjbwKCjH7h/TkbQrrqv+9X0Er85N5GzwTzFhT7A2H9JT4yxTS6JHu44J6zP2s9IhQuR3t7jQfBBCT+kQOZlvx6snolfIj9w2fvuqPp19V31f/w//XH1YHar2njEc3wvXHTPPEJIGOuDv/IwJEKZ4MCgCeB/0qcMGsy43z7EI2hQ3bzXrtbX0KzwqVxEYGiZ+oCBR+bEiMZk4A37ZGKTnkh6U+jWqrbaIfpJKbxHWKk4MgWeGrw1rv9sVrZ41/Zb4wcbBuax2ZNAySOAZ0iMSVhG0VnC4Mt7UwKUuPhZHPB58Yjfjjwk8nnW0f18/3M0RlzgDpG4rFIUJlH+Wp9WJaJfYGb6g7E1fugCE/vIdZUXuM/vj1Xz12YhuCR/c78pXCBlnxJYFiZYiLEE/ZTfLRp9cYN7xBH3egp7DSKukITRNLTCIKASTGFS+m7fotgGjOUCzfLSFZuxnl8QYz6fI+1GRTC1B4UmKZ19JsXr8j6JLMJOeGgJO4l8MlLvdd/arvem+cX9m5K4ffvZ551bCmjiLMLFsDZC7nnvL2aVyCtfaMnlCX34p5hO4GkuDn/DM0pkYKNGcnoRSQQQOP518STqvI100BALPxg2H2HW3C8HnF8ejyCdPlJUCKpMUAm8BfLobXHE98du0FxM/gahA2uPsFVS2AxJl3B09xS5SzpQpRWiMyfac5Eata6RSMg9RNw0nuHZi64dibmalwNVYjYhFsT7kMiSve4mObS3OGzYisOosGfCLD757JPq1vpdJqInAiPhINGkRkpZUaVF+zftaTIxNF9qYS1MPVF6vTqA50j1VZMD6nSPnCORdVG4pWagpJlSSGOcoVlBnHXrm4WICQtNUNrEzwphV0oJP2qet86Edln7csa6KIaPeJFAZk27x5mBWQzD1CBxZl2Uaj1AliibJXLSXA78vUAyPpcRF8k1lArpEJtg/Q4ElHF53rC4BK7KcNig48B+AKcwSpQgs/owtFxhymE8HmC2QfBJxtfR9RKGO7t8XK2yoffJDdvn8NCK3kufTFQ72FAHllSj/WP6SzuvxLgFse/tUrbt0bPq5jXMNt0ZzigoACKXBBYm2FJbUDM4Q+prJj5q49bZJm1Ci6IWc/MwNQjtMdxwGWGhhSvOZOSJlw7UeeDHooB2gxMNJ6WGgCnOfObcY3k1Kzd5iSOqxHUiNKVJF/wdl3sIeEkkL6z3mcxLzcFLAiCj1nyURM/d6uaXWEh0JCLs0SBeEm0FIgme+4+1m7oHwWP/neiG6kWfn3/aqe7DwF92j6snryG8Puee55aZtXa1fHOhejrYqY47EF3D4sFvA9By3w9nw09TJgfDvnW4BdXCjDfu+UG37D1xNIgV8Bigh8vMPGxJYphEtUHA1VgietH5OI+UhnmmdUttDqaDQBNJ02JPN2Dre1+OVYlYxtctcCrMK4iw7frXJfPelJKXeC987dspyDz867PeH5JO+T33rrhezCZT7Ctt28dP3MRlDK6Tl/fZj2OWhkpP+c5iNBEwdwm48UXp+Ar8K03mn5of8YDSQ0QvunP8FgTyMC7cipTw5GR+XzZoqHQCSq7F90p34XGkxM7L1KyqzyZxGkPSUDozgb6by2oqekqES50LqrAj4QC4WCBC/exByY6hNgZeqFe3MPrOrtzEBjsbkY1aey1CYBmuSg+V8MutzSlusOAzjfnXnrp8C0c6IEx/j2o2Rl4q5Wduj2kI8rW1G9Wd2/erjdc7ECxqTVoFBgo5AdU8tWiBVWdQm80ZPT3tgWYNEIm9BN3kTGoMBjBMMOHT7TrJ0XCNgKkeF75GLzdR0HmmfI7bnYdsix+zj9msYRcWVsKQtZD4erPnSwZBmSDLICkr1sS5BERofWWyev3opNrlFF111+cNqBiIbO4TxmJuEBvSNBLJ9/huBuZhtGeHftSklOr3noODznGJ+Un8b4CLqxC62E31ekIf3wgCzcnJCBWycW+74P7NH06xy2NHhtG+fIVZiybukqrzaAfCugUxFQeUFhmbzEMGaNTpCnbZV49PSXQ2qD7+ZLm6c/969Te/flz98HQr7ORnqrump2V84f8u4eO7GWyyn39xt5phQv3pGXC6JsCncOIOBDQKSsfJunhjLU3y7WgPygP95lxicznvOvGVZjQTZU1yONBmUWDx/Go6WrxeIqrpiqvQ9QnMNMt3yOO+TUERmFhsbveBG18mKsHIPSdhcQ+6RklUuE8mYU6WY56fhMhNWMuVw+rx/gTr2MK/3VTBzGoHONyYqO593KkOXh5Wz1+UjI+MJRi1MMaL5ubN65hQJqtn37xGYGFM7lHH69hGrgm1YyKmI6eMY5UoppbutuDgfPYmEvoCmiteMR7SB+MR53w5J+cncSxCXNAbL7e9Gjt4F78hLJzhX35G7VyFwHdehelF+03imzKd/UnEa55bz8uxe7+E1/sUSIHXMMjHdtJ+7u8SY+93Pr5U+tH82sBXIfLEw/h6W7yJp1nifWoJQ0tGrfm84UYSXL/4ccKd868lcF+RG6RUmFElXa83TkbvhbfB7aKtdfnezZKSuvRJKdmFdJw8d8rvO1scooF0utDpTqN013/K3+Ruyf1EIohGSJIAaAKx8+BoC4+WNUwQ2KvhCLOdNSS/a+F1EvZiCPG5LnpImZEClxOmOr8G/7wrFFWfXVwS+zCHPoeXYxD+SavNcMqIzEQE3iq5TG5CWEjyDiHom+vEg08lMqiqhXI10YTXC5+n5EisehT+RUWcIA3uOLkwDrH/TXEPyjRjZzhsuoAPi+iBkYgc5wBNCaKsiDDQlKIZRYlyhk2qRC7S+r0w1mTS4dBtfrEm8tRtqJk7MBzwXrPUBSfoTx/ACDccKy+IoiYvmWoHBNXc4KGce9TpyBAkmq6Vh1YGX51IRGhYjeqAdmZv1vlSUt3u4ea3hzupTETXT9uQkTS1uaDvrLdeS+be7lsdiK92MAtRezk8c5SsBsDwBMm8cx0CFKpPLQzMXSNp18P6vGELzUFm+3Jrr5pcpHAG63TKQE3bK5PxAFizj/AK0CrhArO7H61V92/fYPOjTWED7yE5tKAUs5rqzOPNfzLoSMPrmgFUUwNHFGXZS8MtFXYkE3NhfsH+GzVBwxvFh+s8O7oQnuDCM6FXThJhxyO+ezk4JTC8Yab09dd3tOylMdamMweOsw59PGXi3iJhDw/vJBoS8iB2EAEJjwKRONblM9/LoPa+54wAQSAO0CScENwDxvAM/NzjnhDCghmPIXnrLXVevd7apCIThb0FdEqOqUgUnK2FIz2z8Eh7yU2xvvRLcIvm1zHW8xxiO9amRimFRvYoBai5SSEt3GQlmmluo/9xpPc2h8zHVHU/M7LR+XqpnUsowQPX9NwoaxncVXsnpH0H1oCX8K5F1DfMokjMQ0lbmsXeUMDxfCjs4mo1MlHh6liSzkm83fL2kRqEwGA9TtFy+3t1Kg0F1jANM+ahbVw8SM2gMA+FQcEsw/eqS0ba4BWEoUxj9E9MLx7R/h1SuGlaa+ksAiKEwbUQTmqzssjjAJyMCyGnZOImd1Ey1GtFO69ECm21JsplTJib6yh3OaA9c68qfUicSvH0N8vnfZyZH714Vq0vX4PxgihQwJVrt5AUMKfYliqsaqsFIOIEV+SlMjh+r20MqVepvmoWxySgPsZGfYStWqlEl6/9vaNI8K8UuDC/wqZehLgf1yWy6MeDqjq/s8E7rAGSWYBBD5MosIu0xaLtHXTx1KC022Knau2aT8Ww6rHq449b1beT/Trzn8TPTSE3d80aiChSCmMJoPzoDMJ2CJFzvtQzDrhFhXala264dWcKJocKDMUyyZTEWZzRZiwyEvtSe2B4aWqBIIREi+TsXGWwntNFLUpusY/DRwUZ6N8x4BYfNnkRUVNLGzzQm0azSCSvYnBK3o5pFsJj7dTY3IllfAhUpF/NQZrYLA8nE9OsFnjEn858u7p1c77aX2Ld/zOeD24kJW8a2kN7kEHo0qiKLVPrEc30/TNy16DdrdLvJPOUwUisKaYUGqPmnfCSARZ37i+DF5RJE09K9ZwZmS1tneMqKrHzDCVygbOpDnZ3q0U4XZ164fIVxRxwoao9T+rI3yhgDEDGQXbTHJ/QXh/hom/qB8an9Hiua6drryZEv6TwiTMM952ut7HZZVq02cE0sz/Bze61JHQOQ7yRuGiCYy+psZ5x4HcGjHzv/eGzDJwloJqTIt8LbYxhfupDuDe2TqqV222INPEO4IquwcecT82QU8dFMoPi9suDMMWEAvKijNn+G3RFyESUNN4tQ3pAf1OfEMzEswNq1E6sTMFQOW/iDKaWrHlKc50aKuZV2zt/Aj7wvk3w1BRSzdk8JfUww3jY52v8o5roXzCvU3ERvK2jzerm4sr3Eiu/k7YIOy/v93vhI+yEp2OR2NsOv+un3sI9uv+kPtQemnmynyW+c78Kf9sujO+SuUahVeaDFKAnlzDQnKnwFkOUGdmGWlQZk7EJYfWI6PAkBhLIn0jA6y5oIACChOTmZ0Bxcs+ApxmQtKr3sky+2LckvKpmwW0AduRyDum0Bo4IELlPGI8mFnOiKJEqyUms91GP3HSq8R64KUWR5A+TAYmsls+q755QnOB4p/rZJ0uRV0CTnEE0Vho4RUQdl6Lh3nGEbdsSWOPYZ6JWZkRevA2EyNuNl8EJHUlcTxjwHjbq+UWkb9Ks3r53K/yADzhRN5WsB5zmxpghj/Q0G16bdi3si9lMlI3qAaqE/AAbxBkSfQsXshmSWBGIzy3Y8iFwzisgq9QjrBLR6q/fXBI8EUEk433AHEKuaQOPx/DEIJ9WtYK0dEAt0C3MDR6QqtEQi4Q3Rs0Q2xAND6eULMLXHuLp72pVmrBMcBX++UUddC16m9zH3zb3yBAiCs37JAC81+3zgM2sCcU2PQcIZkzfak9RkYdIr7r4XeOyfwXRwE8zXpbfxAvf8+ypkYsA5wg1Wy+gGG+opaw3+NW+X+PUgDFqIhJPt76tTS0m6kJ7Ddj0cpNAJGfvYmuHkJ9SLkv3TrUkGbYqbhtzXBSigFhq747slZ6xEEl5oE0evJjR26iRjTBn5YbTVKb07V/TG1uARBe5KGhsQA8qwdHGXvWKQ9fWzalqFv/1PkRp8ALBA6l8coXJwE3OCPDafY73hojthcllSiLT4j5VCfcZ8FEq9FA2pFxvFT4GysjohJfWHtZcoh5Sq9KjhIOXTHXiEFfCj8AZzmYefnVYXbtLfVDWc2ZhAtMVXkAIAvt4Td2hRuTLF5gNJTwpbTquNGuUpXMpzdLXw4Y+zJvNGMZvIwBiBxbmJrDqsGd7uDSGiYVw+nOJPdLpFNLa6sdL1e73aMJtfl+qHShm51pVl4yZGQ0p8/MsOfaD43FuMkCJ8VVXqJJl7o5Z4XKJvwqa7h+fkYC6B4WVF/drqjqBDgTt8l4nmPjp/faZTMJnZQ7e47hcI8kN+BSmHcar8BsMWTgyh1gz8Dj6VPixPCX3ZhqGpLt1ox9OvB1+bULhOb0SahtxXSHcMYSNmveq7NpCo21/KBwsTCEQ4eAobiIb8x+BLfFmorHJo7FgTiF5ePhGDqiKM7/wdY4Mdt5LX+auNjHSU7jZ/s7z6pMbN6vbH90P26JENc4p2exjPDAOpp0a8Ub+1M7sEpVq5qMY71DVbMDCORp8YZj7GdJzn46NuDRP9TquYb//+z+HuKIGRe5ufMKhvPtWb0By17bpZjW/RVSyN3wUSmw5sWP630f61pZ+YCIksKANsjoHCccBuqqE26WJg0uR2YUe4TEBWobuWU9EpyoBgRSek+qLLeFdulW7WF4cT1QbSKD6gnOeW3HIX6dGFRmRkt3QaK9hx/bywDhcBQtzNZmVgpAHZ/r0o9hUpzDnhTtFQNFEw5rYZ+CHmhVtefDpYWXmC4dfxVjDNMJfS6KNYXoagj12ej3VWTaudnD78wYj3LTr64I6NlMT1wNMbhHowHjm6P/kNbjAki/iWywMBngfnCzRpFKhSyMBp1+FgqErmLBm0xwhBOgaOQkHMvVCCCasjRLuGAc0ZwBrinVV07KQ9TTVKQzQ6RAxaKSvoff1BiswcNhKy+CD+b7NiRNmE/qewa5uQY9jVWK4YmeaNZK/m6kS6XtxZaGaxQ78MtQqvIvuzrM2FmPmwNYiJRIBXlOcmxj92OcsIAiAhFjGKo1GgjaSV61HAWIcH8+TbeYDIZ+AoR9DnM8VsGRM4pkMUGLjMxD5Hm3OfsZBO+6brwmG0tRxBoIdkOOnRWWqza0epfqMi8C9VuFYAuael0IUge0SbeEepf/4HaYzSTCXkvTgGQuAk33nHsVSdiiLCHJqp2/hfXRsOgTGfLrAoTa2+vnbMzrycnjK+RJS48b3CGZqEOCGNGQS5qXkPtT8nU8STYlqXi6DuCphl0iy/hWCSEjKaitaEpJ+CRthy16xcEN9lod0/7SG1XCutudvzt01EIV81s9+L5L7PoUx96sCrUKs7Xs/Y4/MndJAn5E585t0RjNTVqWPIEpx+He4goDH5YC0g2uHUXpzYHbKQh2zkYZEUaJQVI8AZtqEbInNGJeTYXMlAoW6olTvZmaDmkgoaklKcJioxE5Aa5+1dJnEQjX9s7sr1b/8V39eLS2vskFIMsWm80BwDPvMxJiZCcljsrvJBu2RTvZmJKHSZKOPbhwcFqDUf3T9QlJXEgBihyDqIRKB0m2LjfKa+pE7r59ziHMHIompJsTQsWplBbOK+U4Q/Y7ZbD2CfWrVWpdCc5JTbYdD0V2Mi33NNPiVe5A0CYdys01TJUcpXYk3fKshWp4LBP1uSuIyN8OWJRAgsD9pDolh8OzKR9Fl2BVkOrrNKdnbxsIN08tC9JDSJNpWzRGWgbT0qa3b+y3TJpEwJUKHOoAuY3izuD4gvUzgDMJAveQI1DFUP4K0VHkZsyftUQwBxA1CzCaf+4RnWEtNP0aWidPDq0iL7aWacW8/qXEiAoJoK7QM0WUVezieDIcithpZtue9zsPUwdC+sOMzXm3y+rTr6aRZLhoRYLw3raeb50TPG/ptsw5tbM0SiBkPmalAfwKxU2XV88irAyfsWJkicrrjbsg5BmnJagI9chkHYPGGCFNH1JoluEsRU39wzTSHYSe0WDO54e9OVbc/uY75aYokba+4DekdfJjG4+YYDUoNYWapzTkPRNwgKAI7hLnSYCyOhMN9RRfHxkWAD3qtTCJNn1FcvH0dz5rrEGXs0Hp5SPwjIhbYDANNHL/MBGFs5nNKCFI3tc8hWxykQ1CePj/Ac0Qpin25SOCSZlSYjFG3Z13mT99hBqpBFZdQCc2M5436nL5FOT9rpD5jIZiTLopjIMoJHkWTaCMnmFA8W2kjeKxeX6vu/eH1MK3sbr/AXszaIrHrw59J3MKbxnWWsNW8t15jifbVyvUb4VEizp42gM34hwF7PA5ChafStO3ZFrgzSdSuZrlzPV+kXd7jXlDAcu/Yr5Mtgkz0L765/dM0Y3tqO1xnj8v9hZ7F98LNvWJbtiNj5TsPZCv2YKSSDSk3ce0N3apbff8VBDxody0jhhTu58jBIbGWE3sJOIm1k/QGf/M7N4wA8XsJv8SbgQfxtg3vVb1QxXJRQCTbdgMrPUrESbEdgS4SHIIrw6wisblxfb369KMvwm55gm+1I4soSKgE/D5MIbs7G4RlL6H+tlAFB/yubRq1rLH5atA4OIkPC8uhiYeTMUR+/O7JVrWzsVV9cuc6dnvscYQprqytsvlb1Zz1xazJCfEeYLYxC52bVSI20Ie8u4X6Saymc5RIy/DKfA9wddSEogqoFBxh2zwnYioBjzo55O8STe26rjlBoqGhyPyO9qz847hBSjUj4KjCAf+o5jmImoU5Hb44r2buMAYlGNo5A5YG/lgJZxlCbxyKRDgCrSSKvNeRRru5BHwZ+BvZuY9dVGk73AJDBWadAIXCbLqdkckXeypMQ+KghM+GD7CPSBMhXfD9jfuo8dyzR9tmbvOsRRu7TKePjTjs5LSjhrD/qmYebYjRHsTKQ10JssR9EpyDjwajj9ocYrG/M8/g224qNwswaBmluvGy+h7m/wtwqW2NVYJ9rLnaR0qY4dBldm4mzjGOWa82cfMS9iMCixQEmlNRYvKsxfMPibg2zDaEfwBwLWFn6gQZvbjXQQj46IsVPF1Oq+cvN7E1m3p4Eh98IhJZTBP+m+hoHC2gjT/9MeOdXzS2gRwmmFlMPRyubKxLBGAVadrovWmI/rkFmAHs8ROII7btiU/qiNyoxCThl/EDSxOJnaL6WlnmmI0XRVuAS9i8idw9ZC5K8Now+5hSzi0hBtzNAxKbQ1h6NdZVmGh+G8MU4JnP8vJS9fLbzfAQCUGFs6BJfLmvr89W69dXw8vm2uq16os/+BgcXKAw96vqf/6rv4Y8HEHQ56rtpz1sxIxLCVXGLj2h/Ygl0XTE2kZysqKpDAOBGkPTajqu4COu0kZoM5q0wIdj3EaH8QnSLWCqleEEohMSMoxxaHpJAVW8F6+gTWEGcS38TnqYtDZhIh2U4OczEnrHmvdJN71HWPqba0ufUXtBrS6RrCbBP+l6I4EPpdX68Cc2gBykWxp1AGVCMTAHzIaJQy4mHTmkAZzSVUhWyTkdPBPTltlBvQ+fcvqy9uJN8lkrCe1sIwnzjBVdqEIWh6CLS0gv67cxFaLm6vPtArKB9L2d0NyDJLT5+jXhvjvV9ZuYWCDwSg8S2GMPOBueKDWhtBQWmwPkOGGCF9jwIvMflGwbLn1Gm62Fcw53DmFAeL2QN6NjkWJ+196+D5WUYegvrMuiffR7h/GdBFv1dhaEnogamKrSTJs5GkafB5SheQFHvSskjkOXKUHifrFwNDcZ8TqLCnimRsJCeygyzUbso4J2Oel2ffQUKSmnUc8BPRtu1wAMbCfBLLmHDLfh0hjCk9xAyVnuwRgO2OQijsTPDR15sVm7KXzBN/AskdlaOWhvo2YemkmiTKRqoRK9Ug5j8sM13KfM/bKFv3ecqhdckpgbVzWP+URTUAdVVZvzLuaxcPETp+jHkmpkLuAAmzmi7u8VjU8V2o3mvgjccyMLk7LBlcDdeGGHdcN4o8QLAh9KkvAniOgr0nserZ1Xv/fxp/SxQP50OxcHJ9GQiMxEIriwpqXeKADCItVHBOakiSRudu0kzERLzfAyA+EMofkdGLzZKs/Bgws5qn7dADsOgbHvdPdJmIZmOAfj0CTmGYvanbin6cegJuE6iRojsdvc3oYJs3juPwkRUuQcIf7dBxA5iPbsx9N4Ss1WGy+7eBwxZrqU8Kml6EoYexOGGsFQ7ssVvpCJsx/3OFxXgp/4TIYPfqN5TLX38QwianiL4DO0AmE8AUMJYrxEG+BipLxwXzfWVdiaJrYzjR+9gUvAJrRC4L8416n+/M//pLqOS24sA5LELLn+j9Gc/9M//Kr61d9/TZ/HpMygiDR3nHdBMCVTpedkVCKte8Q0CS6X/StB+3tKxkOaVYRQf/deXgMDh8DJ6QUOqYHbGYelQyFUvJf/iTdKxymUSsuSGLvg9um4ECaGHjmxiXml5O394l6ha0O3SAm+OBtSGC9gmXswhCXg6lUfX9aUe5hMMAl/fct7rxETSh1wE4OVk7KBbStsjqoVqg1O0sE6cAEhzjgBEY7PYde0S3/38jeeITIdoszmwP80qqDQ/qzSAViM+2lId0qF2lS1lV9bWqju3aCkGgceTix8c60YgB36LOJ7z6onL14QZYbai3+vB2tjETWpJnxZcgpAIe5tEbzTWpmF5rARkXY4ysH9DakVCW+LA6bnm9u8nleLH62Gr7f+tZpLJGBmOHTV9V7pY5jtYT9XQpMgWRNRoqK05waVZIrcbZL7DCY5VdeODnJ5AKczgsQqzhcaUk0QO2ClOeNE6T5MEswJ2KgEKCVrQ45ITr5XU5fo6qst/LuEqs/i990hbLqLLTkOngUXyKIaegqintovyCRz9aXEKzNRbVfylalqc441A8QEqIZENefG4rvDLmvDvWoEMu5xg2WsgoTobtTpqPDgnMyDrmcR3mkQHasIIUFC0OWxy5Sg6h2QOIrD2DPuG+i6CbE4VTPQolE0uEjXwHxD7UfKiiyMSttFrQ+Vu0jjMhjdsSLylLm7tgoY8590MHdQTclDP1ES4tWatyAIEZhwTbW8QH2k8gFRuSY9a+6jXCoPQDWbmL5Yab4F4s4wJ6X5Y85opkDmSMKGprS7gbkChjh/y9wo2KBvdqrNxwfVDN4Zp7vgPWq+4zmWQFxHKiet8Sm29HFsXOe6zMDI2titQ/yQQJICoYM5Zn+Ldskloxuf+7QFETV9bE8kARYtXC/NP6Ijgt5d9SFErU11KG6tj6sVWueW5wN39r89ANaaVchkCLO4QAjo7VL0gmcij1Vh/gmQoBHA/oT0DHN3FsizggZCMJXrsbIyXf23/91/Vf3x7/0Bic/IwbP5OjzKHjz+vnry6nn1T98+DcFe75fdbZEajy2JqDgHfg0TTbk/JHTigjgp/SnrPaQtsZL1JV6Hi6LbVO1AWuUjiOBTpjrQLCXtsp0URt1LCp5eElnn6nf2p+ApTXMcjs++vcdnfYkQ/m1aGgrTCfqZ0rh7x3uT0iqgKfFDQ+MwM6weSSwdyE8TwYcEPJC1afOjHTe1qt0k0qDSTnhTOOC06QAM7aIC/5T3YdPlN6Uuga/ULTBW709QdHis+v6vQBs2qBKD1ad2OJl30Q0B1/ygtChRmkdturm2Xq0v3UAC4aQfvVB1qMVD4WHCGJ6/fIl0c0CNyo8irP5M/3AIyQUEfTKCLC4DQte7ne4OzOEgXIbaHDRpE9/jOD5CuOl/DyTcxR5wxESn2JyqxR5YRjk3AKsXS0RPeYhE86rL4WLIymt6mCLqTNdhy5ONYXe1MsvArGOCDTgsQXw8TGSfhpo/WpVexiYjk2CFMLdUq2/kVEIDQEPgc4Tj1zwiEEOmeIC9V/6yBPPoeXCmxKWEIeGzHz+zLo5B984sIhxRr3xGkMRkNF7twFwPIKbau8Upf9dk4TORoQC4t1fIBwI+vKSkm25qux6q2Q7wMPtr0/MuNA/GsAuBkhDoJZKpbu/g96v9UfOI41T1x6MzPG+UPOXFMrMg4jYPzgizecZKjAoMlM8SAuYWWh3PmQN9GtwZgwAe6J8u/jEGXSTnDelmHadQLUxUdobY28J75BScP2W923JXdv2F0jEdzzDhwKEGFdeEovlMLVDzSY9zGf2coy6mZzOxFZ3PKV5LHRKuLVevj7oAYYxDWSR/TC1nHNjqUtq+hp0d/DJBcWUA09JFtbuH/zW/tTi0PXulTZxAn8+QXMHB1hyHfetEnz7BJXUDmzeHYNMrEFvMLQoXJyz4BGHvizcJ7WcjSeRNWBZBTZrLmOc8wFsk9H3nFTEQBKF1CWbbfNZF6FJzA5duw9RA3s1vdskYqVYCDEVGCV/zEixFUj6E2e19DQMoAXt/+t/8orp+a636T3/z17G+r3H2//o3j8ihxJkRuKnbrwLJAFNaeNB4iT+uocTVdiWavvdK6V98L7gwPGhsjsk9YTuFooVWiYA4hSB1olpoe0rUti2hvlH6UlL2N5/1t5TwJby21eXl/B2qY/TK/efGdq9I8P1dJuR3KQRJG1Mg9nfnYH/Zh3AM4TvFg59GvB1KPV2fjzZqm1FIOnQ+YEJKjqufka9CO6SdezlQJhhczg0igeAZIwYlhnNLbLBuLRkuoM4SnR6StrjsIihNSagNzUYoIn1sLfnZHHE2bKbp6mdf/IzDw/lIgmPhYAllXbfzHETvVq9evkJ1v1V99MnnkejKCvGxhST2QnEEFhL+aaJQDo/3GAuLCrUZsOm2QKLXzFMk32V+3373rPri7u9V8/jTKe3q6zqOCjij1IVbwxREUpLcYzyaZSLfyxKSEQc3g0hwBJHAjIK1kYNS80aHlSHat2SZEY8mi8I5oYZj85KQFRWNVCwR+YglpzJSWUa3tGp5Nyug1/dNMhbzjnuA6OdXz9nYtMmZa3WA5JKpDTzcHAeJp/QSgetHLg82k1KwSg1nxHXhYoi8DEiiqReKKXCtHK+0H2XHWNtwbcSXXgdjCdrsLAdFfCYrQRSbsM5nXjKkI+YqM5q5WR8W61baBnZurJd/B+Hh8wRMSqbneSD5vyqLfcjgDcJVqNx9Wkv8+oUTPBvj03y0cq0O4to0TSnPdiBqx9RhnGAtVr/AB5nDswNyZyyTF/3evZtIhNMweHef+WuwI7sTldCwB7UwLVh1XPu0UnYEzxYvk5FVCjzUvXSXCKoFUgxrM/dsQvOaGpo5dyZQbdbXF6uHv3kNji8FU+hhUplRnYEw6oI3xmG3CcXEVU1vbQLD5pfpG+zZQ22YW5yvlteXqq2NnWrhvtLUeLW3zWKgSXVW8YRhg+0/JVhnGUzEnr1MQq5FbO/PfgtRRmtur4OjEHhjEmaXOM9B+t7bolhJ+AgS6LO7Q255JHlMV9NUxJrm8Hb3N0fsQ5K4rU5Gjhs3ZWcRLdiIy2Rm/BWfdYV89TcsvCBln0uYvvrbx9U//bsH5PfvhiCx87KWjiu0eWlMB6YUwV2K4W54pWZwNsw1ElIlbomnbar5SwQlvEk8i0Z/aU3EOftQmrZNntcDyTbUZFzX8EyxfSXslIp9n0Q1pWn/Igik40XsUecqgXcc9pNSekrl/uZ3/i3CTBB9x+V8vM82mtI6H0PgDZjWOOnr7SoGl2b61ocg4MkErCZim2H/ZLIk6avmyVp33IX4/kBPDk7gCwBVFQYUajgv7aeO0xB6gwf2IMjm8Pj0C5NjEfmFnfven6BGP6mJkfft0b521iiI62bFoXcO1W+RCKA1qLppWk0V6uZQwrFY7AHeIzu7e9X6jbvV2to1+q7FZ4MxnIdcX2mktiu9uRSmdCGTKG7vHFcvcacyeQ+pv4MYRDARv70i8+DT14+rn91bZlM5dqR+3c+Q2KdQPQ9IOFIfZGoS0fsAkwCEVEJ9ovO137NZtW9qa5XghU89xMsMgn2RUhiKTA4xN4XSKoTJ526Qw2KeCL2NjUEwuD5RlSgbIf2FHRmm4mHsgt9D0CIYx00gPaI/D/y0i3s46NpIrJ3fDN4P+jZ3IfRuKg9AJYy6AO5j8xRBlY7Cu4U1knhK5MP2zc/mAm+xPl2kdPFEW9cBmkEPW6y+/K5pHmb7c6QXoM0Wa4ygFjb5adzh5pcmquc/cHaAUNDCnKL7olKp5hzTAngYJ0rvQnyVwiP1sERD6dsNwY9LpNG1/uQObmdqCR6cnyoxCla+j3w0wMqD3BkGfv3GjbDFnnDabHqGOn2CmSVlihaWdUZ4DinJmufdPPQjXihhN+UfpVkJuLhmCbUJ/DBb1tFU3RHRUJGMV5jgt8VlUtTihP/i+V61vEQeFk5ln/2aAz8454TMlHONMZhbG4n3+tpKMJDXT/c51EcCh/joffXyIdkwFao0rQB/DzVPaXP/Jd4brEQH4M9xZqT9fnfvkLEBBdfQABHub4Er128s4RqLxomaY1qCfQ5pp8kPs3QD33fs8LpSdjeJeyAHyuodwu3JleJYFkkVvISKfPBor841nttK6RG4tzDbjSPNn2DH1s7+9OlG9G08Qp+3kcmQ8WYitkiDISETVwKJuLhfgVHJNdz61OB5toW//CQa5jF7tQ2ui0NtPEcmmJPawdBN3zG58ErQSsQSWrU3NNMeHi5h65aw+1eCvMQrzSUpNTsm34OP4b6ptO9e9WL8QfuKiWYoH0p67NO5eL/jBg8VQCLyHFoX39uuBN4+HYd/fRkIltL8kBgwmRHrQRnFlX+GErhSWb0pzTlQq6XXyP7l5t97XFfqjgMqVXxesaHc0A5IlZaBqqpjjquDnNi0qgfabfdxS5oCGRcBTkTSsRCfU9V5gdzA07OcWHsfC3ACMqPVVteXzcWNim1lHRrXPdCgmHEOJvTpbSMeLpMXekKPAgkgA59AovNwaMDGGni6PLL5PH0/xF98FQnnmJPMA0TBfZAEAT98lEWGFaUImMW3z76prq3fhJGsIrniHhanDrgQnuALbg1MCEJsViJiJCInPOPhqISwg3kGtONAcxIphE1AMqEZOLqWH32ZDaiZxva5AHyOM8lQWZrQpGjH9ABG9IUvOZKKWpC4cwhR2kf1jMICIFRU/uG9ZgXhr/nlCC1I6VViOO53/O3ynecKM3PaZfFi4bMIH/U1JWRMRWk37IisReTool3zjYt7UTdS210xpah1yGxizvq9079a1+D1FTgmUykayBncaRZmt/EEjx58iOfJUz0D7PHxwVaO7zAcYBv/bdPjnns24nPiPBpaWIzojyUJL545vDGM5lQrNK5AG79/jQj1+R5wcm/oyWCekcgQiffJOUx2Ao1tbJwzFU1udKDXi1wqIjHpSLfPQ9xDo1RaY0q1903taaMZZhJDrsLIFACb5tBhMNgNRnBI/IAJtk6gOP2DPgJHbU/vsAeOjCOAeDtvo0VPkEhPWZcVJOAZsoE9frBVHXxfS+cdTI/7CBQzJn9jbvuYWiYxYekp1ePgfQab+ioeWHqv7KHeHpBed8AB8ewaEZVI2edI5W0C1DwT0v3VZGyanDwAF7eO2Veuo6awXhw+sd7sgR24abj9WQpPe3lRCy/BQlsZZpNx7O0TElnu1zvIg0jXwrB0XxYGmV0jZQBj7uLuGOcWKbRwX7qA6lE0lHTR2hQS5z7Fs2avzk1+9ybeKsRUHGOf3+BsQe13OJ60QKQlQenbNaWv4MtSOXE+pe8kphJRJWVfjkWhSnqmpSElfe91bLYjsU6pWwsEuDhM8+tgfEZmpCZGn8OCJCmo+Vfh136gPZEUzTxOfNSdUOBcmUCtgYOjb2sCbsMiJ6OLM3SJKQNZIzvZs6+RWNaOq+ufgfTosNs7VnJn88GV5hfIBYy/2y7IpNlFF7MVvvccbxfNCjM29lsAzsa2C/LkkGe7lniV5G7fvqieoWJBl8LmiXAdIdFzE2QLxD43s3g9JEZzBoSLHSdq0zO1YWkcFXgMKGkaOQdZT6E2fThDH7+9MyOIGlcdxGMU4HEQ/uV51Mzu4+q5BYEBqGq7xI9i85HD5LffbZA17++qP/vlv8DU0YnDqlPUsDGj7NT1TUfLuJxTS8aBGqzQE2lvXQhDvmHZK6ispzS6iXSrJG7K1TOI3TSS/T5Z1UI7o9/kNWE/ZgykjkD9xExT8iIbaONh5T52UW3ZLeDIoX61+aowUhqSeUq4lWQ003iYZzCMZhu9NGR0uvBFPVMJPIROJLNLGWqkQwipjfHBcOKwk+dUg71HrxUPtTR1xTxp1/tD2qA917tlOxL7hL1wly4UhiOTGcC0rN5978uZiAR8/fow8ogrQMigzEFjVOgcGfM0zW0/A0aMVcbfZ2NrllNzUMBYg3B9eZcDbKK/tjZYe/I4bODjLOGIAs2OjfG2YQxWmtdUAkuNjTUBx5ogPl9NQy+KHkA3WrMNEA3K+o6Q4H0I3mg5tai2AwfVe8VDuinaES/GUXHOYfa6hh2yAF38P48Q/fZf0Z/oyLrsE14ucEiwGeavlcUZAvRINmUZQKRdA8ck8B38x9dvMnhyAhnp+dGni9Vr3A71dpm1mouUlt8sfHLjxjp7chvpGdMI6zuFn/kM5pIBkZUtNTY4/Q5ursfTln+rCUsfAcc9OMDVzwPhYO7CmDEdctgXVaBYs2MI9DluuVNzl33i48CdezuMpQ9jPCPboCaKOFyW+IEDukFOwqSmMGvpceP+ss9IDyzVkVkAkyirR3uRBx/cNNma5z4t3GIHFoSAGN2+Mcu5yzJayz51c3c4wOXwFNpySYOVW7uhJN6+lCIllPbl9768R4KstO17iXVweV5K3RJ05+49viTskhul6BBeQGj2oflaLrg/iLd92IabROmfIVvCcJhWtkjY4zAyNchI6OUGUWCi39grhcA3GaRff8gVBNxGDC33nb6iJty/dkN7J4c0EAuJk+q69kcj25TW/vxfflT9/Mvr1f/t//53LNxZeBvs2wTAMcYh7Ko85wEcRWri/QrZ6+aZsBP84WHtaqe0p4S3ycJm+uSnzzhcubdR3Vr7PWDThlgjORhBByWb4q+mkLiC8pkm9ozEWVshYXuAKaFuRtF5a6jXiILLa4vV9Xs3qoe4Ye1AEXT1c5ERZKI5vSUGRIvNtZ9Wv/z8EL/pBaQX7OAYl9vYFy5YgV4x10yBlXMYqccnCehhl0YQEsShjfYwzk45R+XtQ7zj0JA5qupbz3Iblyazly2ST3m0UKwwaHEAuohKvbjex03SwYs8NRK5+WexabvoETPCX6Uq41D0XFHjkWF5Jhfwpz9P5w2kEd9EojC38IqcN5rCbFekpm0JlmYTbahxEA1xVkuJABt5F/fLEKINkDtUe6V4if0IxqXgcQgRjsNIfZehFhIR3RW7LzRDQPD4WrPPicU7GEfUA4UQhL07vq/HqySvx8La/anqn/8+1XlITL44jbbGwI8OepwVQMSRBNpI0l/9/TfVt193Y96ff3EbWzWeRZGmUQnJMbBG2gB0J0XXYkzKAAD/9ElEQVTj2cOrY4zOjaJ9ubNbPcCdT3wYHsryXhPjIlzxCLOG7oQLHExqqjsxmhOcMLBrwMDPAOYxCz2JCWeZUPotTBTT2OsjzTFwOkZzOEeqPDHgTPMci7612cMrC88PxrPKQaTmuqePu+wPzmheHxBvcIItmsHzewtgmIe7BRHdhXNuvtqNfCZ6NUwhDR9ss28RHgw62tu1pis2bvxzD6zUw1rLlF1vJeWorAVYPP8Y4xA+XDQlxAhWrWVMLNjRj14QOMf3jcwCwajOF6NoWOz/MJsoBNKWZxWuscJqeABh9ujjomhCqiCMrifI0r4LrkmBvFFpuZhVOjc5JLYEIAVARKpnr/rVk++eMFfPTHT3FZEL4WrinINJU4hE2XmAw0NirZTtPf6mJKxZxPEkEXfuvpfI2o59OKYgkHyEpjnu8MkvWmVEKRfJW9OW94Zba2h1Aqf+a74VNaqe6RS+4ybGNkUJvzr31NseXM1pve99LYF7hU2kVg+nUO2saHYEh97fZa4Q3WePTqtdFpWMrtWXn49XnxAlOWDTTEAsKR8Zk+BMBPtxfSAlsVKyU1L0vQec29grI6c0i62t080hF1JK4+wlOJo26WdMcmub6jhQlxYbssUArEU4JnaAbcI1zCo8EDlLcEnY2yGvN9g5g/H+BHVRz4CmKSlMk0zODbK8ulDdgqt/+wS3LaVGF4DflXw1C2ga0hNlD3vE+jKVf2IdPaDS68R32k0JwMA+ITG4AHPbeLP0rGHJzVPsggV3CRz74Qsy29HnDKHEXYoa6IanF8k0qmebDXnM2UDTb1oT0gX65Hff1XZjxxUw0jwhcQNuA6K4JNQpUbhmh8xB6TikGeDtAXS4eIKkEllt1BE442f6149brcAzNBmAyCfR1O/XRFd5CCMy2p62aM++Mrd5+GjTp5pB2MndDCFONK7C0M/Am5CA/J37Fu+ZqbIX/t4zmJJCYyhMymAiQWf6Bg8Fr31JwQhTziKNuXkWb3vIfRYHbBcg3MLtOQgfNmAQ6DZpgDtrC9UPjx9XX2MuWVq8QErlYJDopUkAEAeYTEJ6MY4pzGzyY0F4Oasg2mqKA78LkHEf/IkzlYZIpNZxj8CyZTTAzZcbHLguDIN2juEwSt1Rqg+cjIIhEHBYOgfJmD0w26ivKaGavvZ4Se+OMyRn7VIQQekf811aIh8LZo8eHHOTA6JTE1X5mxtGhsvzxwgF05xLjaM97JEWwgIjYRvGXmzFG325PZA1xbKCjXhn0JMHeea216da+hO2V16R90i8Ye+axjbOUdir9cEiZxzgp2YZzXR5CZdTo47pawZf7gGML4KSlKhTCnergjfu8QO8zXoeJIpXEjdxlHsDPxUGlmmPPh3DREjWmJoQ8FxvtTGzew59RoNWlZE0iTjfjfOsAk6EsrvIEuKyv0Na9jsJt5KGbShU+FmGoqQtAyp7LsaqdO29hWCHscP3Uk1g6nwjgZpzpo0wQ0rAbZu5hLBQJG9z7ffY/+d4b0UbgsH9UKJ44m2Z1k/5EwS8hgOP83+YJJgsMTJk2GMwLLjVrhQetHOqCpnP+4eH3+Hih+2ORdYM0uWeHYCtOWKcTbnnpi0AjiAVgJk2VqLTa07P90q8TuQ+m9pEVnpUrONtcYGI0OfQxVwS7Q55Ksy9HDlYjUYElIFpdSKiKFSM2otME8n5zZUyCg6FdoN3vnnwGCd/VGiyva0yH7TeSIa0g8QZTgfJbblnb38bWyGSFNRO2/oYqsgk1NADK23yfewTAwi3+VA0C4gUtaOM/tFIUuvr1Wcf4a6F6LGD+qyPvCaHWeyY8+aw8MC1QSRcC8fZh3HuAk8JbQgBEkeJLAjlYamFG2JziDfAVSnV78IziO8lyPp0R3InfnezrOOatsehjmUvIgoT+AcTVapVGmMd4uCrW9pRRXQDuO9Yr5CqmOICanGLMHGZyP7z86p1p970uqzphTL01S1YGIfH4ENI4DJH5iCTExaaao5Zc5mLh6xKaJ5JB0icM53euEndU7w9zg971fXbVpZn/BAD6zWeITF+doezFCpMzLImLQ4Jf/3199X/5f/8b/GYGURBEe2mr19vVsefIzWz8xQK1KbGdQc1DTDw2MOn/xiOqCmlr+07cuK+uWSg09h5/uKP/utqAaf2o9kDNC8OLVnwuhgIftm4Tx2TR8dMhTL1/QO0AQ4EdT8Wx47RxKiTQIY+zGuhYdTbdZ7zkB64N8PCL67MIYgckhYBP3T/k265TsAnDpRhdNOYLcT5jeeHNWPFRDHDy4NJc7EMPGAFgCd7HJLiHXRsP0jzXc8WinQdJm0JFGvg3wiUAfZGG17AmAOxWJs+DGYGk1J7pk4GdulsLfDBvek5GQjE2E6sv8kB9Tm2+shuSjtmRxxEVZICT/prc07UwXy2/xsrZDFHGYfE0LlSnu1YMxh7SNOb5icZS9SjDJG+jK+5QO5b8cU5iWcSXcFLe7GHXAPx28txiNfeo4mE3yJjINL1UPIGl4c+4xJ075WBSZiBUxBwxuS+C5OQ/dO3SfEM3DtG48qzQhnhLEm+emhIp4+40faKsGPenLpRgVn/+alXEPA3nKCOjHShtEdHyDuTERZW5paQyDC+RgU4BptuszFfQaifgIB4GVWk8A4iQ6rtsFkSPYvao3tX7esdhJw2nxViGSXAAKbRlwjQQeB1XWt5+o5NW+8AU3aq6nLEFJDyILXO1yIhV2PAfsjmm9avGxF0b2+TDcpgRg4xBY5E6MGTXvXr335TrRMFqlTpJjChVuQCLpK4cLRc287udmzKDpTumP48rGzjo9c2cAgJSy+EfbjcMQxDyOkxM407WAu74ykHAi1W6qNbN6sfXiMtwdmufVb7aF8QJmk+Fo5CI3lXM4W5xAINva60wzhUc+OgDRhGgIKbjw0XQT5l/cOlSyQSD4BhFOLwpTTvJqU9Cz2r8EosjyCa0TjrqfYTmQ5dZBHb9mkjc0wLkyOQP8Ky+W0a1Xb52lS1vYG/PUFDe69K3zYn4jekokjyB+LPEG6/9ZS1k0Dwgl7is1ykLtrkqCOkFixVePQUlZT7Zu6bW0avilNMBs6ZcwG+//LT1erj27cg2tMQ9bvsa7wqMMo/+sfvq//+f/hPeCoNqjtIPsdRyok9h9q3RcqDm4uY49jNHpB72BhaGkDV9CEe1UFbHIKDe+FOWzaUzVxDs7tjSmNgvrS0xEQ819BGjflMWw+At8CIGSx1I7St48EEbqskt4JZT7uBkFo0B4kjmhH1QRfwM+RAt6rTiyddCLt5UepoWrd2GzPJAC8MiUgHwWYOc8QB3knjqLzL10gYBc57+HkEgziCWIfXDmdU4UVkrnuIqZ4++sRrDgscsltxRqIoU1VqLcRsapnnWdOINQDPltq48lLz9IR5ajZLMTFwz1tIViVuae8W/y2erPeL+BPpD8Q/9xYgi1ze9KtnVB8tO+QsGTZtSTc6VGQ666Kp4OUkflrvVGKZgkR0yGfzbQ/NHvUwwnSjlK0UnyaZwGMZlN+5nkrorqkMS2LPODrEByhJHxGJOqzCk+07Ppnk/Xq/BRMAvtZrFWZ+Di8U96a0zf4VwdVy+V1aOo10M6E33Qt+bMAhChzr0VTUidh/INxV+XfKFK/8EwTcRclc4HFAIrH2Dy+lNQM9tF0fuvlUA3m/DWH2ntcMhPz6MQwnEbk+RHKAoEqvLTYCdfheSV4CHFGTfBbZIi4HgFK4Jg6tMGNX+yD3zz/FbQ9qE0QcoJxiKhlEblRIucQJ7mU4+xGiZ69H9R4I6h6JrQx772ILiBShI9ch41HdNGDkgmhF8l+Fa9y2RIixyen1SdcdjoA3JCnMKAdbRCIuhtveqRoA7h2W5trtboSHzrFl1kxWBfCVetVgVM61qx7h4zeBar9MiZsZIgE3YC59qPVL8pVMo7kMLAkn4W2MMw42mKb5XsJ9zikDX2F7KjIraRfzSWxC1VDunQGphHUE74iLIpsbDkQ95e8+6rgJwqISks8zb9XT8OKxTdU6B+IcQOiI+PSCKEehDqVA7t1lcx0QJGKE5yx9Ap4I949NpqTixmheEgv/c6y273yArQeRJj2qc7OgcTz0IBY2KFOBGM2aLpUON15aDAD1U6YGEO7g1jbL4fkOXKCLTXe8s1F9/82z6snjF9XLl7q6oW3cYzmZj4Khrwff71Zffvy8uo39b44UpydH+L3oT2peE+xmplgYhzL7rIJD1D0dkYYkqhLrDpK+2Sn1oa4DlTCUYBuxUIgRwsccROyFf3iLOADPUw6rWf3VgU2kBQDXlr4Q+fEIwk2yT6yARsFDbNzHuOLJRMfZOwbIGcLdAdlbH5NILWqfeaZE3nsI7yJBOxaD7nEg2aIt0/DGmYZ7VhrimrF2Eb2rkAAOKSV6lhI45fpKYCXESpdKpuyBiHhVCvd37tsiSGKCWAPx8ZKO79z54pDsgxLvyAbIGkUh5zSj+J1w9K/4pTCiECpDEl80UdC3xFvGMmD+p/jxh3nH/osUHX8do/RC4ml7ziHXKIhf+U7c871jQIsIgm3fStjOS1Nkzh94mPQqsqoiVGbt1fQNjwhfhxE4zCUOM9aWucxZDnFoDOKeDGaPNYxzAoVFxj8OI2tBY/S48sBfbfXG5/PVNbzsth6gtWGaqiWnkkCwTDn6+sCrJuAucFACOGlItrWNdBmCJrHWpq192MHdY3N4WGZYtWq+sFmCa796VptXVllMN5umEYM/8nBQYu6BGpk3Y9PqxhSHzDSgO59lvPRiMYnRAog3wF9XCdtk+XKqPSJTjgHYDCVq3NC1ndF83fi1EoCgv/azpxzmIA0dgLVNn9UQCkUc+jL1qmlRSVFRTYOseml4Ei7HjHB3CIiMZMECqy38d/EJn8V9ZHFmPYIuTuNAaC7MOppNLHo8iUSnJD8Owb8IjQEEtSp5zHeGijGt6rsHT6tnEL7I0y1T4+8+ElNUMElELH/NKyOxzGTwoXLJj9xcSlG8jzwoElUYqMhqBXmDIaIghpzehfFlO8A2/J4l3kpdvJeARuixn90sbmQlaJ5vcX9IJRB2N5MBQUpoZqU7Ya00e3iwPeBzpO10Q7kJ3JRNAi4iqxGcwIyJQBwY8QdOxQEQv81ht53BI2cL6Uc806NndgnJlQkukWJ0GxONBMo1MfJyGjOBYNjG1/nli5fVJtGWE5MPwhPC4CXXWHyKg09uXKaE25F9AvQpDoaNvAx3SKiFicgMsdZlcJrfTrCjHRH40EP11Oup7KvGNjJwyZzf9fNdiPQJuDeAI2pSkgIdoWUd8NJzZHpxAXqARKx0yUPd73BjBM7hEcWczEmj++UM6Rb22cgneFaMSVwkwLrmsTYXELM+8Fn/FLs7B+4HhK6f7nAPhEmbsn70emycyHxcP9ed39SEhJl7zEIr0iujVIOWAmdS7F8q0TfEA57LXPRxaOySohbpRWLUcF5BclxD1xs8MkFdpB5OE0bRDAO3/E68kgH4KnKVZtbAezUu1jbWzQASBytjYbzx1364NwZDe1bvuTB7oAxH6pXE23Ylnku8xGue1YfcK8ybEmP3g2OQmHs747QmwLF7yO/FTfdClz41LwJbQ/nVgocBOtIsx+jLPWSf9i3+CW8lbyVx+jKH0REurObs//JfXat+9uWdagX3vfs37lR/P/Oo+qv/x28jRsZNrVNkOEZqXfgJtpQ3ErhzpedT82wDyLCx8pJQKLWqeuuZooToBCTEqv6aBDSZLOJhchPiblazU2xvuyT9UOqSMEvcMAkGYdeGqyqmuuFzodrIXVWr+JyHbYfYjC13ZZKcAaehB5gzWpgyPHk3vP08bN66c5mPQtv7BsEgh3FgqEoXqkzjCtOEwKcfM9zpdqeEpLC1Cmf0jMVNLxiitiNSx9NXG9VS54RqMR9DxFfoX0oGQiOiLxIXv6MfHys5xaGROResxLKPmnKE642Mp41ocQzlmVudZx7mTKkJqTWTJRBqKs3IRYcbSM2YhPEYRDE8P4rNLJLSiyw8l4eRpyIa90QhX+2kwpkNka5NuiD6Xu+XiIgriCfczWkSgqibjH6nJPQw3g6JlaZgxEfggyYZFZ/w1VfadtOKtG44kNuNrD95MAbbH7lcBl1Gp5AQTwQfa6+EaBsWvO5CtJyypeMOYNpTrImaRB9bQzAx5mMQlH7QfTjwLh5C26zBaw65IgcPvvAR+m/3wMvUtuEhA4wM3RYHw6REh2pLk9iVxnUBtaIOCD5DdJGxu5oujgCcz15YYSdcai9fEejGhpNI7x8wYVQZBQmNzh3aMXjnFM4WqYehnppwDGYzk6X7dBaGok367MTAL4UQ8+rQH4xS+++582CeSvv9HTY0a2emwRffU+Ab+MmsJ4iatFTZCZpQSH5cHgRGRlLmOQmeqTFHJSO/YxJqyh0IoqYzS+6dI2wN7cniiqYCCTD7r327NrfEmYi4JhCkEuJgufwq6HASbNY9GJ44K1GTEKZw4I3inHjoJeGVBtCfh/h9U004BvHHhpVcEQpCM5XQ0lacy3gxn9MfzKzI+6ZGoEBCe5NwmTOYXhz2Q6s8aI8APV/ipvBwrv6V0JqLBHhdKEW55x2nvxU8jcN3CTrtBM4HR9PGzf3JOKRhwsH5ld+jIAbfh8mQNVVTvX9vobq9Bkdw7xp+pZmNzR6OHGV62WT5+EF/goCH7RRxP4JuoRCOVaIokFS7O0z0o485BMOe9uh7Am1QC+Q8mlSsx6gd9RYucUquEsK1JQ4pOIHw1Fb3tm2QIWxUNEmit7o/PkRZLkYvkYocGL6nDQQi8jbMR6Iga1x28XNVfZ3lOzMBeoBo4WNVX6UiQ5pfvXyOhAXhgeMMEB1HA3lEDoNahhIsfWtvX+AwZQFvBYI7MYVgV1xRlca2K7eHgswjOe5i3D8/nqyW2zexuxJZx5im4FwrRIKaK9yzAYtF9BjjMdLXgFXR5ONBwvkpTm74+/7iixt46jyqNll85ypchxvkMq+pPTpcfGAcKq8b1M+p9tqfCC7SMAeJlVxfTx7tix5ORki8RGOp3rR6BAnnDpvDw7BALhEf5Iwk9Lych0EzqrRqXBKGqLokE2E6ugqmVO+mnoRpt5QAVREZx2ix2SCArGkEsjgXxqdWEiqzDBViFoRHxs74ZiEyEZLPgwPrX/I38qxIlN1b3HOG2GSUpWaeUG2ZdwgEzpd7dRsMgsOzO2xm8WwC4vfyFZkr13erBdQUi4Co1Q00qIMvmuL0/Q7BACas4CejzZrEEpNZJJZp8FECbcFiU8Oe0K6540849DRaWMItkZcwOwkDraoj3BoJ5T++g6kBf2mDj04pG6ad2AO6Hu2FRsVhfYd8QeKXZgkPEJ200ubFMofzBC5Z2rDFAbheP5GUK/4CYhlUIdaONdxAJaZqQIIDuIsDcSQg0U9J1B/FPWHmnlRy9LPETMIkQfNzgafLObwKzqYHV+Cm7QXwyl0SEt9LS3zvC1rRhgnp6XaG9DBMfmcfMJhpS7LhfnnEGYuEUyIbjgGur+H3tuX4RK4yhviDOXJC6dUoTZkDkbrnwMh5D4UW5yOOiDv8NSf3Obgb1XEct3MQ32SkSfATNkWI8jA1bOpLvGQC7h/nJVwdE8w49q57RWZW9uKv/uaH6oevnwKCFpaJNtoU6RZ0YQnAF4YwnNIIQSjgvOpPLYHLBeBE48wc0BK+zaEKm3aLwbqpr8PNVPd/eKIdmIM7JhqeCwBENVBE2X6JLU+cIupyH7chn5+H8+zSBlWqQsIK+5DcsahSEhglTVUYIwdDnaJtKy+F25d2bgjhfqgABF5g19EVUBfCelUGHIjtkgPkSRQqbpnUHooRxR8kavZXrlB9XWeZBDvzGpthAQngJtVSQnL4SAqPbZOItlevBxR4YI1YaI60eP+oenHwvPrDT1uYd9Yjok3pbZZwynEMZarghxQY3MeV7Fj7u527gyAK+s33trfQUOaqe2ti3n6FqTY8BcaBC44Uw3G6/nFGIPIAi/AW4csgVEooNNkhFF2vkgNOtfOwJirWg3TaTiOtAXjhZlUaN+AlJALmb6SpB0sEDIbUGge4blpRoBBKkX/fqEXaNLFSMA7ujax29fCjLwn/KvA4egRBJZH/3O/VdtdA3BRdHTvjiApDMmv/SnQAj5tILSwq/Ng392oGCdMa8JHwUsc68MhDVj04bEvTlwuZh4xtlk9vm5iDY2R8Jd1J+CWrGagC/91Xj6o76zeqX97Fr58OzrEVnJgOGJw5B0DjGHkj+tVCzbos5hwK/lwjjLjNWh8c7+K2OI+UO19tYa5bJAAiakMiuRjU04Z7apZrYY/r7exhfgCH1YqeCBvaBYYGAZ3ruYQpZZY8I/NfzFQbj/YRevBOIv3p0ff6pBccCCJWw9aAN/O9RzCIvwMbTSUSihOJCmsXkr3MHPPBITgSXj3uS4hjeJyIKwJLxsb+1EyglnKGMjmFYBa4l4Td9ab/uALA5b1/7N89xjqOseaxtmrSKqX5nt+C+EunFC7UFAFsy6IijCMUiGxTJmZ6BPbl4Ckf/Mw8pD+mlzi3hqp0w7ZG6FswKoj7QM2bn+3D5GQ9PCs0BRtSb4BQCDvMOYLNJLTijQKlTKHsuWAy0KPox5f4xjw7HHCdovmcEj0eBBycci2tFatgMyyVaLvOnzFN4e6pDVyPtB3WfhMBOHJG+Dz93F9BMzfSXElFlxs2+u9U1DjgGG55snxchmhL4irRM5pSDNhEJVtksd0kFBeJe7Be1F4M3Kv/sot/hIuh0qGESMISQSw8Y0BPtMl7DzUlHNoEY7IA94yNGNybNm5y4LcM9VQrUMq25qAbwzD2GvfM+kcJM5zUd7Zfhw+uUWSnSL9sl2GlFeeVl4vsfCRwOC7QntkFyW2CKtwjib0lCB8zr5Xr5PrmPXm04u9md4B744tqCYkbBR6CSkpSIz9lMmDHLKfY5prQF123IIM6PNzQlGOuFMXjCyZ61jM2U+8UpsjL53EeeNvaJbF2kiCGAQvnai9KQwVpDcFu40omnI20lBlGyTWJNnPUl1uXMzexBzhhBy3zUeA8lBCybjcIY78A6V9iioiNKJEA2UOCA7FjYCB7MA6RWyRXMhGp2XmzePG0QOhdqPHEHZ5d4lkZQwPm9qtpR1gqCYmjzskDcZdePFHC1xVLE4lmNu3/MiDNNkqokWNaJgIB0kNC/AszgM/SWR8TTPjjyihYP+2OanG9p+K0c2Iz37Liz3H14Ifn1d3lmxEoZck1bdZneDwtERdggq0Bh+Hi7XlE2Uqh6rUwwnVtkapQ2DsmQKBW1Ng0XYM2cbIaQrg3OQmfRCpvwYXmeWCMJDYr5CA/Iiho5yGVoCScrJXEQ9Bavae3jxkQAincZ8hOqFQ/4LDydOGEHEH6rRPkRNIrGbd7JYuFa3Jsc/hm8E5oRa6N2pjMkPWuC0/oyspXrHcwSPeZFLMw4gjgcW+7nsmkaXcam16fs4WQ6CXADlZQ1KJeDZPydwrvGQWEyGboGMQViSz3GrU4iS3fUoixZ+nD3C8LpKs9Qrs4huKZrtlybzmuCzRh0+SGR4zCi0wfKVkNorLoRdj7+E6CSX9J+21fU6/nOjXeI8F3dZvUAgAspCuOjd8VZsI8JNyEi2PL9zbkOonvfme/CpZcg2duIggsMErfdW3ep8/5LKxkXj4XY63fmxpEM4z7LZiHe9t7hKdzi0MbpZw3MwnGPfxc9/2+q16Wwl11adGAbuEAc/XjxlxdR2rDFBwHfzchHhFhRScSZN1l9T8Gt8M+LiE7R4qw8nh4o0isuC8QKFgjLwAcqUB576Ghk5PwK+HFgZ6Su1U+Vkgmxaqc4lhpJXjdrE7AYl3ApEh6C+x2u1FQYZ6oozOMvLu83HrjkZP78hVud2Weu10T91ivEE0RddaFpzRgVK2RQSrbq1m8+oHvRBSaW8SX84hoix0qHOiT3iL9ohKZjMOK5voVd6bnMV/MIQnsx3hF0FDR6VyfcVU8K/ToRRD5t4W+i9+8FDREBqap5OaC6zblBpAwXaAimp5A+7WHS2Kxh8W4L4dUISydpylUXSOR9joEVsQ2kZiXPtszBIxsAYdAWJk/81TR0VwTfueMIQ6nVC9FPLuSCSrRSJiFJ/OagTiG+x2UT/u4+ziv8NJwfyrJlw0mLpir3OdlkCEJQpjDXZJXqMs2wm/B4MU9XgZ4aNPUPn4i0Rdn3MjcZwIubfQGIOlnH4EpjF3NQXwyregkcz3gkHIPhn1zYT3yfkcgj77M2AsP6UwPEg8gR4Tv2gysixHGe+tm9pFKzIhp9sBDND9T0MZaG5OATce0x3BwtDU0xq2dOlx/hccZm4WZrZ95rprA3A+pT3kxgQbAWCZZSN3yIhjEIDXhrvYhkWAd8OgLQUPcWCC/SBeRXHtsSJB+77qYegJclrlGvhyejcM5GYfDAobhqeTeVCoX2cUjcGv8qFRnVyLzGYl72oz93LyYblRU5xxDxJi5A55zPqF7pBXYp0hytXhrCvMnLpk8J/4JlylpBES7TYCRi3bGuYeFkCOiseCja236IZ9TGInzAzSTuXtouuQet3KQ6+/8kpm4SBNFABRfPSMQTkcwuahQ5I3Ox8s5S2QlE0rY4F8QbN8Ly/xeYuwLISEKT0t8gxvVAk9op+4fmYNt26ZtySi5VwKvUBWMgvuC/qixuK6p+b4twl0C8499KHzVFl0IbncjSAR4q22RiOLIZRJeC9wWdmTNEdzuYV/U9+WzxA+6HzUV3bhK3gI5kJ8JBH6BNHFg4UTsme/F+4gAE6lsi4npBTCFPTsOF+isLlNV52Mw78Qp3KRn2DREsYOLzDQZtExxOsspUI/TelWpUbg4jiglxk8bSGrh28xiSSSgu+ERY4j6LjZHmY901UXy4NOhHsEcnr5+SM1FMrRxMushWNAa9ELziuuJMmdiIdzJenwWRqeW3YKCtDyZZUAr2PBvrILQJA1xI1pxXrt1mnqEr33L2CzRpvuXebDVbs65Tyk1Dnl5Vrcug6biULFQHA/9lCCFa/jbcp/RYXr9GFEbqiPtLi2blXCi2sUNLRBUZOLeyGXBqw0zDjMH62vxBbwf69wqjEtpWMnY6kMywSj4wBipP127JzYouEOJqE/uCbs+urDFLMwWaJSlNmT3iu6kbgTzWzgEJWzxLAJg+GIK1XqVyu5dAjwOKWwcBIjvw52U8Z9ArM/Z8OFbTj9hTpDgMH7zsQ+eMidgtIcfa4fixZpKJMgtTvv6EPQDoh6PCaczUlHTWKkWOtw7ros4ODs7zf3kNwGYnsHML7RDAzzmgGEOs4imOxn5BJJ0H8qjO+G5dqIi9IS3k4yRfWHVeZnNEsnV5sjp8vIpeMumCfs29ylszkC0Btexh0OM2ghJmpJCoqa9vW3NNu7bmhjrdtiBUc2RxfIQVX1fM4QMV2YpLMQN104Ai1sSHYkzeBGSNrdL9HatZJNMNIhAzbSbJpRAN2B/QmK0c5iAXiLCdIwAtHAe4P4B895hHAYBTZyQ2A2uajTigcUfMLFeYMZ030v09OKZXWwBSwKYZMwSRWATZ2WMy8NyqxpVhO4PDBKCQZyDRyEdS1jKJY4ODyrVWiXwzsUBe5+EPAmtz0rwva8wuDD/FFjF/RJ6+g4CLBEQVj4HXp0+q2EQv/md9wpbL8chsfeyP9tS2HB/CEvgJVMIgu715s1bdKvc8c4/QcCjHRc7wpa0oVkAmHHRcURX0rm5mqleBpHE4sGkPMD0tFtTgGkjMQEj6VgFBIdEBy/QCl/QbSkA4AQEmBPns/7Jcthwj0skgTjs7RI9t7VRrc3fqubwaQtTitSXqw6e2cX2LSdQvYWAMlgLDk8TbDHA4VUTx1taiPOjP6V/uzcboAiipC1xc+PoqRGSiEMNSlITHg90D9Eqfnj+MgreIlxVsxjAzowOhcWKtLqoTeES0sbYPz6xBQxIvA+jaSE+eOAZUhiaxKf3F6r973q4YZp4qMAp11EhDpi5590HweeAkwxQ04/jVapeu47rGYxmH9ezPDiU2QajFMY86CFpeme8eFT3E8UimNwkUvw2Yb1hHmFumh2C8HsbG0pTl+O1MLL2clXxGx+ZHGusevQVRJtnwv8YqtjB9W8Lu6xEKQI9mhdtKh23yBmutDtNBRlzvFgoo0e7ixzI6YevP/T03ZpZRn8yJYiKHjqB9CVfybWb7er5o8ParQu8kTBFQIVEj1dI3nJeUcVFBNfivIV56AG0yTmNLqjCYH0dkwhRZgcckO+bCH7Sw0SIykj2KsEi3C27Zg7zMwJyxpEclbi7RJ9Z5OOQRamnLmfBRZHD6wvC+z2R2adIhpJ3nFN0GRbakMRZmCxgS2oRubQDAznz0J/fbaK9MFl9+oub4Sa7MW4ftTYbgcguL/dlJGcQDmm1GQsZ1z65KI6IcUi13oNjD7l1hxOXo2ZmMY+0V9Bq4fJRb1IC4/famlX33a8ySImc/RZTwnB5C0MYh6hO4Q568JKGoQHBDMChC6N+0RQXVolihvF6WHgGEe7D9CMlDRpgBqZZTcjyc2laiD4VBOgj6p4ynnMkrD3yxQyJ4yiuOTDHKW6IM14SV3GhMKIsSOxZURxGKhU7XiVp5+t7973P2L4E3T3qS5omrcp+vMeXzyl5S46S7gnHJObioetTxqKWrGtnVORhPxi1GxMta/vmTSGgpct3/QkCHuXtw25WS7kmtjIk1NBm6aabMIrZMphAgiL+m6w/wnK5Vy6tlhkmEyW9nKA8QQmrEOrgkP7mZHMRCjCD+9H+LrX7/umrr6rlaULROXTSijaF+mXifIm19QpVfWdw65tBotrb2+EAkcNDKo7vsCmNfnPThS25XEqtp4i0N67PVL//y5tw+w3yjXSD0Ec4OuM2DBnX7+qEuUhEBPYkko/EFNdj7MwX1dNNKmmDiJ9c/xQkP0UTOCB5EjGV+hTXzuDBCM9CczDiz02jy5B1I3U5xG8cX7cFcnWoXsVhoYvsMnJvVKLhr04sSh/67UZAlEjPPdq022ScU7w+QH0N05DIIcHn5TmFTFFCv+rYWZ8u0rF2aP31dVvS5ZHAxGjQtW2D0HFGAeJ7aKhm5UFiJI9ivWTUmmgMY4/KPEpldGhWmA3curQGTNM26TmGBzhDwLsGsYnwYupiJoDIHO3znkOdNQ5kvcynIkEPU4uSP/0pQFjxXA3NrHld7KbXSAcwxenvJEzA2nQ92oCfBm05gkB5qBS4GASkJj4eWnnoqy1SV70+jHUMyn8KJdvZoaAB5gKJs2M0stIc9Fel9PR4zICtnifDRWLy0LqDGcXoXIsRt2lnkjWPyvCyLLii7nv654vuZ0hd4SbA+vXRJObvoDGiRdYeLNjV8XjS02YaKXoK7vWSivF2ZRWkIzPgJXFRCKLNWk2sCZy58ruaIMr+Mm92JAdzf8qQ3WPiGesUAhNDHCcYyGr2pE2sCY5ClIRT3K/loxi42l98nwzE73negskznIVc7OnJA7tiro5DT6CzJ5p8+E4CMoMgo2kH4i3D8bwkbMDSEQUnxnmia57EV9C5oGrj9isT8T7nJWN3XNIJKVdjf5fR1n/8zXkv1uMPgp4E1X1Eu0rxMQcEB81tkYCK8QeR933SL/u1DdtTYNB0Yh/C0jZzXPYpjOzLefjZeXizdM6X+9Q5OY+8tCpIq+Jz/eanFHWoJfDw7FD9sQmQEOSRaCnkqrKHrakAKzLeAVzV16WbEFskdNXccAUsm2aoVggIABLP+pLzsDnTjpTVOGLsRSp3ogM227et10Rjvq4+/+gXbBJq/ukrxaqabjPqDkKpxqFeSn3mIzliI/SIcuiyqUzQFJJTAVL0z4c//bMbHGAuUwz5qPr2m3618aDmwDKYqP+HJnG6ZBUhpCuCJCKRUEEqiYoL3wObdvBU6WL/aJOWVlHlmBU2Jaj5yKPYQq5IEG8O+YL74v6FKjM11yYMfK76+9+QCdFNVIh3vQ61xC2RJNVG5GTuq/bJUPg+/O8Zr1XRdyAGemBI4Fwjk4R5aVs3AEeE1H4fcy9rqPQVAT1KNn6vVsphmNKQaxgbSkGI+yIkm8/L67V2pZS7DeJF2TS+12yxTUSdZd6IWYnALmnBG2Ss3+v7L1NaXke1R8ftIWZvsr6q/J61GIUe9m4ZlgivpuEmA8/OtMmJL8zlFE3m1TNzjkSGeFI8gOaMwXOCcWAxfQ+TDAeS2u3VIsIGyZpOUcRCe/spYujYHNn4WJ9JJrcB8d5GpZwGl8zfrmvoImWQJqZ61RiJtgytD+JY1sUcKgeobw++f1CtEUl37dp6eK90qbNqqbQZ/GVNdKb/v+6o5uqZ5ZTa/EHWGp6CWJq4q48kqmQ6u6KXFV4os4TDY/4L4YkxR14ZPFee/LBR7T4bcJhpXdYCE+Ci6+ap7pfiFHNvSYD4Xe0xYgZY+xaakvlGjjl4i6yTCFpBgIRlUfUljj3ypQSxERcUsCQyEiDaCEIjcbIfv09ps9ABBZ+5VWt/qqUfo0mRXXN5plons53eY902br8L7E8rHSGlTyKl71ADcztO1WtzXZhz7N9+XDPHWZhSjCm/hznHQjgmL8YSjGnkUgMNX4z83jklMXcePOOhceCGTJA+HUMImzlf39uvz6mJCHsEHA9CwxzI+xP2pM4FQ4ncsSTsxGEl9iTWMgSnnExAIl9+sw5rTZrq0J0UHGq61aRgb881vwkCHpdSOCOMkG02iYeT+taaw9qIpQiGoE0DX5bhVG7M3KxzuMsY2vvi3zN7gcgruLCc3MEWZAt1VuApySMJTB7iRIOkcGZVeKQAg2ycqBteKrFJdqtDbDWrizeiDJpl1ZR6lhAljRg9hiAO2FRWWFkgwukUe+YAQho5CRhrEnBh0eKAaOPpUfUPf7+Fyq+dpl7QkCZdaAEvkeS1S87qAKgwZEoGLfkyFF9/6sPIDfF9dU4ipbsr9yCYfCmBhgq1wCLLbO1DIT0ocxwewhqQpG2/j4rrpp3BZtjTT7hIz8N14H7nb1bEKMfGQCSYYZ9mHc4YZ0/C50Zj3HowKK3rjTAHTA9BdsvSeZGLK6QECVoIAq4hbfaf1fPS59sKL3hI1mllJezA388tCKxeLvYrLDyk5sy4zpFDf9ZK9azO9dKFTFhpasoaloGChSGZYe+QKkhWVZHxyAzj/MTNo+nFtuhPn2btvNGGjJ8x6XqmxGbYf9hX+e4czeME/DKHdNRYRdJbx6WxSz4Gy9hFFCKvScwUi9j7DzCdRAUiDs7iEJwZWRkmtCaQ0iyTHaTnMYzuuhG+ddGtkvdrDk+6AEEGsr62hBnmOjl8NtEY8UBibdsQdgWgGdyz8jDzBgRtjKydByyo1YRsfYEDvwEBOgeIuSZ16mHXzXw2Mvt90uzqeREl7JivTH2GPCh9TE3zHA4er3KQjUYig3J/KTi5SEUBhAHwO2Xm1CBDK5GIiN9Kfr5U4CRkrlf5nF4sIX0KfwmZhMjFF/ck/nmJo7QxhY3VVAo31+aqP/9XvwQm5OxGSnj0+CkCjZufhG/M02IamsfEQY6BmBdeQOBSD1OPCckir4rChvve9/bv5V8f8nvxUO2Bz5ExU1oi0S9X4LdrLjNzb/iMDAENrKk9RJIp51bmdf4D74vgEHsx+1Sw8jNwCuuBcOK9WnMUJBdOwlDiHfSKV0rthc7FXGzbvmxL4u39PstfCz94DRnOm+l88LshAZcHxCEhhNGN5QGLhNrBaT8MjwIGaGY0U8SagMoDTonyrbsm42cgEITgggw6BBhVlaCE9QREtlT3PaT67BfkG8bj5DklpDzQUuJ99T193KrhuAex66CeWl9Qf8k9vAguwBw9PdqyRjjMMZRshs/nU0jhiNB6SETx5QYDc4yGL3/9193a1itQfYmUSpwC3DmCXOb4kE64gaIobiGSzo/iKsFoOaznELFf3b1Bgh+Spkxw4nhC5kQNjCayWltZi8jLLY75Jdw+IxD0QgkTFWP8g18sVV8/7VYvsA+mz3GafSSGusd5iChixKGO2hHwC/973ztPvo+CviKX6wP8dCkcRrWF+FgTV238rp1fhesZbWn/d500FylhS0TtT60Gy0BI1NrN1QY8SJWRKKGZkVCvJPFVl0DTDM+y9pGwvwF3Z+06a+8PX3AJK32r7UTFe3BLe76RrbsvTiJUPMing3R9HA5/I0ybfjW1yORPISzhGmb7SKRGi+48pKoP6vw5KWF7MChhOXdrkn5IZeoJNc/NY5e2vJrapoNdWFzBtoqjm0waF59jAHgedoYh66874aMuotq9NXUcoJp2cEWcxh+2jcozz9mLhYSV5GcAqhkfHcAqBF3XmOc7FGOAWRvvsHi/xcF1u9p9csA6chaA6eECqmC+jGmk1AniKA6+Zbyf0S+w1/Q2TZTnIcKAZ1PeN3uTPDt4qwjqSDMMbDRhnkr0cbebgIqdG0UL7M7FB2GZREu4FcabhGcSk44V73vasQsuDUPLlZAlPoJlhNLohXT304Xqj3/+82ocv/bffvNd9ZIq9E+fkuANeHiIrmluEdzwWQWr2Jsw4Dsf4Tl2jdiS3+7G+tp0mEz8Xbz3sl83D/AX9zvXme8L5sk9mpqSuaWGL0nQ5KjmGuP12UJ4Q6tw/xSJOJY4Ca547TMyrFz+IimHpO64xHfuiYjOJPj53jGnFG6bfp9MqDCncHXlFRqiY0rCXqb65s8I7r31++UvhgRcG58eHsqeU5wczy0hVQNg3erCh16uzd1uRM59Iuoywo4ZsFHFPVVbvsvAAW2Scpz0mwwzhSoJbXhYY9jzJr65O5snYRu19qPcWULgJp8AqT/77C65IuajGMMF9mtzXuhnOwGRtByWRRPMy21hhXHCk61v2EbSHmcTD0+By3xjkVPNcXGcuZzal4Sc7yKYyHsKohroYLRmBKPwUkU1WMkDTmt+mrN5G/v7EuGOLWB3IgVDlO0AHCWyDRzmTXVrRF7YtqlcMQmWnZpdb2U2KsWY/c6zg7xESg8EJa4ito4GIaEyDqVyCa0FiyMgSYSQuIvoEkelU+cm0ohQ5Xs/ezhoPVzXIAI4eB5FIA6jZbIeZFp4g4wFsUZ6nMgQBJO5VdQ8tFMHLxZWTPUUgnYMYAWXJpCR8796SvQjYzarpRpBeAUoJdGv9TLDTEXYuNXp45DODcAl3lgI2TJ1+ndPQ6jXceXceGD2wHqdws0RGhk5pwmk0a9ereBIQkYfR6RjONH9i98tpjuD1BHnEwDPYgdzRldib95S0yNRzxkNn5gSceSKkHQGNk+R4bVrBPQg6u1ykj/NOs+h+W3jKmiYv3iqOe8CIn8Kh/3Vr55UXcv8LehVhcscqWTP2hRZKOq3boPuuDDf0YfFGwZI2eElwh6YpWblgHzc41TFOcEfWgLVRy05JnBK1T8C+STSEhbgoUeI0ZrmEZ8icngC5ni0he86sIusfGYpdCrAKA6KlazpN/LFx4EMn8UfJN1JEotd+4gyZo85kFUVSgmzwEaYq/lZJOLX//Cw2nhBpCsue6F9K/zQUSRE4/OB0jprE0E5zP0Ud8MXhN62NN8pPEhUHZigl2Gj7YXgUkxKeagZqRIUqmTg3O9ntbDh5V6hD8/pwm5fcC0D3oa+8M5F4dTxpQRdpPyhpCwe+rtSvr/ZVhHo4lm/R/sYPi/cvHxGAu58UqNgnOMwH50WPLsz9iACCyNzXb2n3vDGlHgb83rP2yDgaXsBtXF7Oq5u3OpUN34xVv3Tt12IFp2FBII2ArC6TMIwa/v2iiK4LIKbKkwfEruUCh0YI9PeKXGMNXKC3KMP8x6cQZug2f+6bEY0zQjgkEn83s/Wqrt3r8XBpXbKLlVG9ESZZ9MFQYXKaRdVop2C4mhr9pBQKhAn7bUQVF8FOuEv63cSAMeRC6x6prbA704r1HqA3WKRVOeVvOMwknmba0Pk32S8//jdq4j2+oPPfkaq0muMg/MDmEgHQr03Q7SfU/VsAWo5rg3fQyUlcgBlRrxpOGAwwRwrYwsXOTaVPr/7D2upZOE2/UuQIGRK4xFGX4ho2PwkMIwt4O68nK/Eu0w3DoGErRId9xtIFdIb85Tg+UG7uH0v0K/mFBmwVZWchMu6gVQ7D+L2Qdo9pCCJ+A3SJ2wDh3MCHFx/pfZwhy5gD3dSNielRKtxiL/WCX3QKRcaKrTPvAbnLvb4QaTnezfgLOa4uWVMBSBDT1dFcGfaQznDVyVaSkVuQtulN3Nij2GDPcDjQw3KA1txwPJtal9Kp7duTlfXiLrVjOU5hQKAcQ8dqsRboPiIU/oF3ATD3lzGn3/Ef+3bs0gZt27crh5//wMFJAjoYm0l2Lomtiy7Z3wCnGwCtcGC2AcQ3S5aopqNEXbkQ4vsgycILs63jySqj/oSjGWAe90hXkUy6KmPTJ5M3AHl2NrLMn8rONXMzzqV5kWJ/EGsd+RDkZj4GVgfo2l6gGvVnoqoQaXZjmYXCzqYPI0xZFm6cNHzNY3b4RNLBjJOzFGxDvwdePiO2cvizGMIIc11df9biGOHBG3Pd1XLeNY9zniioC9LGsxa9JLY8/IgPJOpHeJ1YmbT9KKJG8tcIkrS9RW3iyamYpReOjGQIoVH/vKkgPnX/WDbtiFcFCYl7Ev13o79It7bX0rO4pXCkJtW+uBfiG68l+E6F5/zJf6pJbCuOZYYg/QFOETfvnxmraZD4ZrsQS83nmIudp0nSGSmLepCV76wDTkxN/cbcs4X772CgOcBpQnuJ1nV7e1+tQKST+PO9IpqKOZIkEtLZCM4xHEyeM6BMKWY4nO8+uYfQUwQVhttnJbLVZ2UAGScHuZomkFgDeKj14JthYcKt8TmFnH4O8ekb5E29IgV7s+jrhLBobuWXgnniMLEqkUe5zEknTH9T5G+w2TD79rG9dhgX73ZiUWyi4yDLLg2tyzkK0GReClhR4CK3FuCpmTAgsrJw0sF6UYCnwvZo49dPv/Twy0ks6fVuoFH2lJJBafp4YyNq1eDldCVLPX84IgrTCxixxjZ79jmdTKbkfWKSFj6TAlYG5xpdkMdpt8gMCKwmyW1CpG+4EEgV1HjounC1JWyleblcwZhmb+Es7hgwPu0rXOLNnXxIar1sD7QJny+gcutWoKKICQ3FWvVI+3rMc+VGJYg/A1lokYUCbpStpuIv8J0wMYIeyf4pC02pEc3E20r/RnF1+bV3TAwjMFwrwnWDuhPLWCGQ7rVaxBMGPoE0oz27F0OVCN9LHCJQ2Pxzw3Js26e7Ve9ao6T14U/maNc3ixRxPhtkwBnjJJ5K9izHz/9vlqcJ8rSvN0jV6jmAGaCTXDKqXafijk3r2H/5nR3l5TBc2wG/cqn4MYXcHzXWvv6/K3pavMJUj04r3+6gsqUh5BgfAR5mKvlDmNWYwROpzBozyvM320Ww73vgC/7x2o1EmyLPBtZ6r19pN1M0KRGJYGPOAuHTz8nbaOCaYT17XFjHKKx9nqnhPVR2LG2UZ1QBr/k/uG9sGNsU5wJ7MJUziDcJlsMQpGXa0p74Rppf6yheyvOasCHyG/vAxJH2lIJ8r4gnDJd7tVESVaCNwKVdEKCKV66dn4Wz2zDl89Ke/ytCI9vLVRjfEPC7BhLGxMIQhEk9ZLvksDbh+0JB/vI5fc7cdL+cl/lfcnhU8r3e4m69xd6NzQDSd+AqYf+EpoJc7UgBEXCOtyuL6Lid80Z9IAKHenD6XdZF4mITcBWdXOz4vXf/R1VR5SEQKgdEctNyMv1XVmqJStf60hhuhgeaGexDf6oQkVODv/yfGQok2gwCaVafcqtTbwPYivhhoMJl+05+FmA+pyyVdfmX1MX8/PILTLFCc1p1PXimTjdYzC8HLNuhT1evtdNjT0ZEl7mywimRh8dEZ0mwt5LH1H6SIlaqbeoa3piuDG0QUfZpHv8xrORiEk4iwx81gark4RmjB4V7jfI2HV77lZUC9re6TIm3AsRb7Wd6iPeqxNacyBsBjpcx6xcfcVCya218ampeA7h+DD914eYIogIpgStVsDvwQBSDUwpQWRJZq5kUTQPb4uqSG4SJT3WQuIdhE8tins1wxyCYB5SOd82MLAwhxKtB6c376s51ePAghTmJGEQTIpnZZ7Dy43uUnm/mgEwU6KyDqnuWNolz9lM4RfrizVTy9nFe0K/YJmI2puE5Qi1288LEPZf/GyluoEpo7tzEEFTj5/t1PnrmU+fNoNguHHd8DAEP3axr99Cem1BmOIcwrMeq4JDVVZXl6sXLzljwZVngrUysrR5xeG9GQV5c8jBuYmtDPgxotJAsjXyTbjOFwBJxm+Qj3Uz95FMDS4xCEdvJg8xJ2RI0mvnL6Nk3+xPEeTC77rd1YEkHA662SAGJw/5zH6JkHtgcQhBzaA3IxZjLR2sQ3ad3UvCXOLoJXMUDi4+sDdYJwJoJFyIxfrymxFwmvS9Vkk/RrqfWkYXpx9ziITka9tv87XaiYE11barIBGpjSXc7qeiAYa9XSlWBuIlM6Zvmcd4t8bHoQcMcIo1cw5OqjCA+Cv+pIRcmnrvn1xCny174dQ97fe2b1upvSjwSAskvrknvQ+hLT677/M5/3pvaXNocrUN96jzcW29x3udj5+l09IL1yO1gBCsLuOac3r7m3fPtJbAy5zqQJ76C0+Xe3CMtRuW4xJx+F7plIlvPgHmPGl+5nnclX74AbvvCvBmsGaVUzKMoqVKfDzj+Z55vvUtjRSmEEMDhKK+YkEsVa/ITMjv5sT44dGgWu48qT67t49qCwTZVOZEqfMdmDVOt8e6pNUhulkPf7JTKIhEPKYhcjXmHZuQTaKPcKj2zMNTfhlIBBpJVApwh4SSOUTkGwTMsmAR+OI9jNvwXCX3Fpvo+fNtal0+qNb/GYdiUMMuasYc9tF1CMOzZ88g/oTdI52dWmXIgzK9USAIFnSozVf1SAM3JOBMNzw46F/3PmEYknNw2bIhGId28vAISSnBDQw8JezhGuWGcvMUAh5cPxkBber652FkRI3y29YPrA+EInzQJYjcow3+xXPuA17mMYkzAZmGEhhN3/jMwCvuo5+rGFKo1BIT19lxQFCHnjds5LB7O/6QDHgJY8fD+KMvmW+BOc4O1b0bk9UqtuP9FxTaID/OnVt3qo/v3Kz+8v/922oDe2xok85RKbAQniiWTftT5jEBgXo49Y+zk2ZQLcyH4xnKCnX+9nCR0Q4+msnSNk3dEPsEAUfQPn76JIpDzOuqI002lUAUHJFPm78eD6koN1Wvhe6WMqoBRCSkbPcLMDwHttPYgk+WibZEpdYvu3dAlK/pCWRqENEwTbrOzgmYRGIx2ghioTAhIfIlUfbyewme804pUQLMOLW/eo0BZ9PSus54TlaTEPE+wWEeEscBscEImmpcF58tQlY8bBP5vdK799uXuJZSs8TS9bb/JMjeA13x8XD1TVOF90lQHbc/Fu0spFiRzLk4vw+9XCCXIimhbdqfgo3j9rN9C0NhbL/eK6H1e+fj+9TkbM/Le33W3/1OuNiGRNrP0IhoS3x3zjIE5+Ucyt40O2Eeikpvr4o5KL190J8hAT8PQ41eEmUySqgAwUyC5PqJPj3Q9NArQlZddJ4+OOD0mnuUqs8YZOsGtj8W6YjDGH18VZUjpaPtKukBRAlEbLJUs5hsBFsIGO7zOdv8ZvJl9ce/3Klu02Z4RwQbEzgWF67ZYBATzSkSYNozUb7+6xHg0mRltKtk6z0emJp72TWOPgsyRpYxAe3L8Tpp37IgEslwW+P70HpYiEmIkX0dIh1ekOTi+e0n1e3lOyS4wq7KBo7cLeioHcRZg6M8ODOBu4UEopxWiS69tFJFOnOhJeROwRwoUR+QTR8SixqNMHQ+PuymSSmXsccaivSO3ftlQiIaE470tEpFzEcpX40kloE1MzWsvv2R/peGDel3LYx89DkldeuWUqAovFq0eWrHlpF5wBsBIM2NXiYWbozCuWyOyAjneq7V/cQalM0jXCNYQsbiXPhJ09vt6+wVxj0JNTRB1Clms/u3gfXSQvUf/8NDDl+xRYNDSrkBGzesm8V1A3898LNupPbvFkR4AbPHLlwn0hJb6kiwQjStfapgcEkMiqXSp5p0Dah3W6+3kFpPqtuLt3ArJAS+h/uimQ0B6LQBZ8EUWrgIEhmJxDtAeHH9JhCEjAK04vu5sRYeKvL9EfesfN6KjHr7JK86wUa6/vE0Qg9nAIuYPyQ8wDwOImWuoj5rlwd6QVgkFL6Ev4SksbeGHhkifPk+0gdz6ruEmfSQxgZdtBFwQOncoBrTpC59am4WPIi6NdG/dDkGX66VBMu+XV/bd2/73v3jWiRRtgHxWKLvXhNHbcN7HbeErtwTf513zRPr642s0/iy8Tb7ERdtK4dt27ZjX8JKguvYFBiyXcdifz4nYfbvKC47r2RmRdqOnOUKJakJ2YfPic/CIvu2P+6J3FXez54KP/C0X189ox/9tsbcmKv2mJp6h61Kes6vHoxt8TkqfuSAJAAsmJWon78+js1tRXpTo7ZAzGUCYdpznJ5z/z4SRgIvwlYlPolITk6AuDD2J5L7O5PVvvaaiu77RDqa1MqkUXW2RKRupCed8wx99rlJ9PaIgsNX3NwX1uGUSIV9r3FFWLFSEJu6/4imJIwsotJReHO4SeyfDZc2sgj0URIQFiIdyDZ/B2Jyrw4h9+CVc7CIQHvw9GG1gmuaSb0iiyJ6/RwHVMjeJJzSvUuvGYlEXazCI403WFYGynxMqxq5c4C9RR10v1KrV3tRY4ix8ldilepTEEWRIqWBlBpE5kRs5pDETEkwE+qEXz5wcNOaKlgtyhwqof7aTmEKE+rSzNMQewmvzDyKUjPeKEgr0ZVYN4HOfZo2IkiobI7QZHhmCqIcB6/0FWYB5yPiyyTZ+JiaQ7MTTLpxyov2yL8xj+S4iPvpr//xcfXiUa960e1Fzcy+hLEQt2DKvqd/BQYPa+fhAJYO9BL+M5zmnmC328atqg+HVnMz3Nu8O03e7wfrahrl20EtmqSxm3C6PeqhblNbcJXzj/XV9boND6kRiffwZon11fbIn3AF3eWMhuCXY4B1rreJuM8YhY3ugaZPPSbissX+MXDoVPdHmWJZ7zGYa8RRdAuAZXy5LyWUaaaQuLgIzj/hYF8SKWHM+rkXyIQbUrZeMa5zm37VBvYRSNQETLt81kWjdY1ch8QpgWO/4kgSNMfoe/u2H3/zfsfhfhfs3kO/7aV6L4V3T0rsuRW8N8dfpjn8cwUfuXQLv4ftXcad0n1N0uqX+zilbeHSLd+lpO1vDXqUFYGG5pJkJo7Ve20vx+97GYCwon9NXuJ74Lpr4x4Sv4p2WMuil7BsdLYf9DkIuOMxwX0M1DYFvMDl5YGXQRdGYJoVzt/dvCGBLtXERilddfD0Cb8hLbvBdZsyB/ExqSk9iQ2JyIV1g4p4DS7nZo3kMBCoc9pMRtFGQpjFCfkC6mUKWU9wjZCbsMwaup1BA0pTnrJGKldExD1O9s1tMidBc6wNLhxmFBYtDlldYOfA+PEOi1zLfYl3EkXhkIjI/W5AbcZzEJ0OtsoeUolSP4kQI/hE77NHLw+qj+/tVF+s3+FA6ShUdFOPerJmtZaeNiIj7ozWFPCB4GJdvVZhNmEMMss4caffzO0RJn+QPtROxyWhFDmcX5HMhtKKCBmLWl7yPddTIgr8O8B4EmKglhMpBuyceyKNbFH1EHAjlYLtT5PkS5e/c7xAZLAmo+rD5ML2LgIz/2EiqyukJCXFWHvHpCQCrujlowYQzEjcEPmdrwQtmQZ/Nd3ojrbHuMZlvOCJnhmzFDbdeoiLG/cYKef5idkHh65izte+ZITM44T5HWCT9oziHE8QbdlzRh55toI6YeGQHlzC35tXKKZ8sQvx3t7brm5DuJc4BGojRPzw/as6pSw3LSCZT/b0lMELBSLf4tBCn/E4lRdm7AmLEk+SoOpYjw+YUOAm6yljPsJZIOooqslCzLvWWnUOEgTXk2FFkk3g5lnSUJ2XkDhkhSMH6v2JF7QVWoyfJWru9rIfxN1j8PBoE4mf3y2j18HjJAL06MNI1y4l7XTVsxDVpWVNOmG/4qN/HaO4kITcsUu43OdFI8pw9vRgG2q74oZX0h3HmRL0jxFtn8t73O+OR/g4FgedzMDx+bIv2xc3UsrO+/3d55P5CW/3g+PPe5MpFeEw8DaoKJdr4f1qkfavzGl78vDCxIP22L5CDxJmZHQsj/8uf7Lr4bPDxuQeAMAai5pHNIOEGuwTDFLbmEggEYjDKwZ04kYibLOH1O0BaASMlEUJBqu6ldJEYQRxaCOAvIG+IqEUn/WZ/OzL5VB1Dc01TabZ3lwUi8rGG0/96cDqNxZ50EShtBXE6gqoSIRDopSJ3FCFrImDh7QSGD1NAuGWeSGVtJE6TDBv1sApiNitn3vIRw7tX9VEd+2XIZBGm4bFD/DCOcBoPUlwzyRJOiaQYlrYFsbIxvbi+atgMEZfneDy0oIAXMl/aUdvEAmoPtCx8QryWNJMd8cw5RRpK+yVIqVEWkkWeCrNhrAkDFyDxu5zQx5C6CIrL+/Dbzw3ju9dBxGPdQ4XR/FA5kFbR5p8XCuk98gdYbsFkaONfG/feUmcu2UOKbnRbtht/d55OE8/S4Scq5djoR8rl+tDa9seLPs5ijS7zuLgej3PM9Z0wjGxbnoS6VURLmiuOfCRkJn327OJHcwe5gIf50ylhZakbTzcAlHNPBAPE0rzYtwG0uzgqnN7/TZeRwuY1JTYx5G+V9DAZiOTofjnQWDEJ/CfzCdNCS2EERXIfTSGPBRTu1IL8vBPc0/sL9dMGDj/lBj9js+Gydc2pdKueOy9aa5wL4m/Emz3qYy9y19f3isuwUxtQ5ob7rGuGfdFzAHtDhRM6Ndow3P9uhXGIO6XbNCJT+5V3wtnCaKfUwuwP9fUjhyT43ZM3B8MyPvsOwWmpfLe+0MzKPcn8efjpct+bdcrx+Nfl054+F4y4eX4hWcKkP61f/Z3CJOO2z6dhzD2s5efm/07Xtv095S8uX/sdt1nmCsLo1DSlkZG6L4wZ+5RY9O18T73lMJcTUp+ZyI+JOCZ0EpH82iS//VEUPqOWnpuDgkbA3axdf+KiEDH7EaXgEtAHBDA8B5P35WMlNbJSxUSl+W8wtle4unAlRBoe+IWE7IdiKkh3uufMmcCG7QTSZE0l0jAp/Gx9iD/BK5ximR7qs1StRVOppR7hpP0lYQxCTp9hG1cBsJ34YEi0gBYN/nypwSnAM5j5qCZXYAbhHKNXBsD/Dhffqd4bDh03Ya8RPewg27NDJ693qieLnDARWMmSTrihO8UbwWTHYlcJ1BCvXZOppBuUusp+GJ7Sl2qrJMuMkgQ+bhpN2yf9KvvtQdAPb1+6NcAm6GaLFFLiYffjErT9msQT3gFCErWSdXZwJuQdL3Kb+lBEL7lBU61LzfSIp/DTUyiwxpFMWNhKuxSOnHTNq8k2Al7NwBgCFOaRNzPKaW5gRw7c5WxKhHq9h1FeP36Mf8IE/oQzi2IOhazukgI6+ZU9GgRhlZJ1/0zAkH4q2fU2t3x6uOProf3iF5NMv2+GpxRlJ5LoMnN6XLFhMfGdjUoDmei+er5i8Pq6+8eVL//GVyccZoMaxH7+wRreMFG0OziZTyCifotkGKEZRwqi0eYFE+eATInI55L3N1TjhumE54hbm4vJXaeMf+5Uach5fFM5JbOe2zHq8AsJF8JtO14n+vSLb9LRCRafu8aFUk0TBjeD/xwpKrNPFyR+CoAWn/WA6mcfZZOy2+unUzGvpxLCmz2U4hUavLxoEQ0hQTHI+56OSbvFz+X+OvetE3bto/mlZubNR5qIc3fXTbn57PCw8u28q+Mxu/FPb/P/ZPLnX06HseYAoXPCw+/F+a24xpIuLOdhJk4XgQvzY7S0QExCsOgoPJc7SD+uxNvh1QTcIlumUAgrh/K4pnn28U1ECciq3hCs0MdZi2yo2o9AmZsSnNHB8FmQlajCInCjS/Noz0JRtSjkyDZMxPR7kepyToiDwkrIvCQejWDbFBlISOWPBg6jxIjqLzYa5TKrfat+joGtg1wbN7bI+eExCqRu6ybfyJIoRCY4JQKQs7ZF+PSK2AForyCjVKf4k2kZANnXMSVL1gATDMe7sl8pmA2tnV8RK4Nq73gz2tNzdsQtUfPu9X4/oPqX/7ikzDr7OBS2EGUXVru4GutTb/2yhkDPuYTabJf6XnbQgAQ/n6XSUiAHGJuSGA5PzdZrSGif4uvvgfC2ogNkoiSUV60H/NnjSIxlYiUkoiEmXv1PsnoSwmzUm105F9hw7hMJhWpfvneEHalWgsLxCZV+hCJ3QQiuM8s1c8N7aRlOPHH+3leu2uYCLhfj1DPOTwIHpfRI6VoIrJqy/WfkZMEf8bQxpRcxDs3ie372c0DrMLcxT3ntOmB6BTrJO5ZEzTiAJQsudeD2AhYMdkYQJ7Fub2DCmLNS/3y9+G+u4S3zmCj6OD7OhEhxylKBk2PNjfIhaK9/Bq5BE7EP6V3ALQLsppwLUxBIXDoOz9Ljmv8wE2gA4zOYLgBZ/FenHNP4dY4zh46Mf0r2lWsk78LU/ArCGpKg87f55OgJDHxGddBGEnswP+h+cApZHs+633CMImiuFGIybl7IyVl23aMMhqEN02ECmNvXbbvGJOopjjo982x5pxtX0bt70m8ZSAp+TpE8DmySPJMHNr6u2ORcdmPzzsP8SAirESEMjL/+psMq2hf0U9+b1sSaO9xjoWexe/C2c8NxnWJeAsf5+TvwkI4AhvXLM5vCgMK2ErfXC9pTDDv0qdzcFyFtjqdAN0bWaFM5MP/DCXw+pFhXqxaClBtZZCa8cw3EdITAJZozFkdGwDucOiiW5P24ShQ6osBRpUdBybB5neJf/gyF66mLchJRgV4ftf+KhBmPqojPSVOs8tHqLvbuIlhjkHSnmBASuQRFAPxtvRVffgKsd3HJxjf4chFXgDUBEMIu/YvYOVRhRGZ+Mb3FJ0PRvPDb87wHuAgiYUxabx2VZmXGfn0Xdf0YB4PQ/fv3MaeCVHodM6qjz8lZwXwePD3iuf96k9/cY4fPKYUCLLSnTbT3a71PfGSoU+DYyLvtshULrUBCcq//ue/rHYRrf+n/+UbSrrRnmN0pRnn069Oq7u/rPNMGBwygyRqZKbh42G+lcDSZgQkiVx8F7ZWfyvEOXJIqC1JREXwgmx52BT4lJt8SaJUGIRjFQGVoGkrQrltU4LqOhaCO5yQMJeBQ1x1KXVcunJG7hW+n+O8ZAIty+IVtqW2M3fX8xMcNb4F7rQZQVfCm2cNcHEuJxApg8BikzgmCJG1CckmHPZcqytlYjSPSPQAGRAEpJupWpvnPdalPKaRI0whRmLasFG/NqhtMjZVEiYJPWPqc5+ugSZVM+rX2qhrBPR0t7oID3uk+aV4BzeeI9R0cHXsqJoVRhKeGl7CSqIXwoMZCglY47T2xGxP4m1hVP6sV8hQevSLZADe5zokkUqJUEndtl1Tf7Mv10ScEP5ewDIuiVwSsZSkbcdx2ldhlkOXxIRHk9j4vH3JCJJR2HbitGNI4cD+yt4bmiWEb2pg4g99k84/cF38dD8Mhawi8MV4bIt19kwsXGYzmb19OwfHJeyybceR+JyCh3ARVt5r28l0Cngu/REWztG/tpUMyL9qSMk8k+4UDSfMJOGOWVoTLkmf+Fo6Fi6rQ0p+SZ67aiRvfTck4EHgeOmSFwk/uDRtRK5cNytA029a4qz07SGe1WvCxAByRC1GOZKD5Pc24c1RExO7cGQ4FHACTS4EUXRjT0E0VZf3H/MIfbWQvDWzSFT0cSYsorZzmtCfTROCtQEwbLAseGwukROcoY8jtV1tzjh8IzzVExZA7k0bEIm4x7koWepBI7EzwlD3R+vpLUs4ZF4glNVmtG+rvnqYEy5QPD+zBCHGfWyfvM4egs5y6PP0MS5j3odUuY3dYo1yOx3yWRxjQvHw9QSJrctGNVhGtd+D02HGtzJOCcwsHOOjz25Ur8ml8u/+moT+0hfvVRVjfE+/r32Dw37/sl6uiBIN+NRtRoEMnxF+SjMiWUGgyEcjgnuJAcLE34VTbka/K1ccborstulL+JaxB3Owj6sYp7gJwhtko1qeKWM1DRheruaw97omzsEQmKdeHLvWgeQ7ibLnD3rWuB7a3SPxEfdKvDVtZdTq4Bntb3KfhAD4h2rKxvF7xz6/ThyBB0Zw7FO8Rc5QT7Z2NtAUKXWHFLe2ilTNb9tID1cZ4WQYZjrcJvLy7g3wnrMQTjjIvTPL+U+nerX1uloDoU1wtU+ZtXEEjVbCnzHF+jHXGJ8SmyAkWGZAitVxcGeYAkE4JqFzz+Q6SDgKrKMsl2sqPkscXDOJR8GRuvF6XYbOAvbrvbaXhDP78tluaUN8cI1dE4l5MknevnV5bzIB2/QZ+0zJvjDXGIP46ZhYo3ojczlOaYLPek8hpOFamvOTQRQmGG3nXobmjAm3UTc8xyuuJgOyz2CWpU+ZnG3I1IowOdRQk2E7bl+pkQi7JOKOR7g41oSj+6PQvaGnnrBOJul4nKeCj5e/xf2KnwSAFYNd7aTR5JDl/vf8GRJwbeB1AExxbqEdbTedO8WEwqJI7MBNMsfVBOFcpJLgquoIKAdW1MAevq3hy8v3U6gcEvDIS+xVpAElUCvHeF/rRr2RdY2LUF/a6i9hj4ZAK+VapV7pZkwbpjZGbY9gzwm2zBYxxkpPAyitB39vwaBID7F5BGQRsCyrZvIs1XkzK0oUlj+uJQCrEGnu0XQdSXMgih6QRp1GGRh+fuZykWFM4smwSW3Dw1I5+/unioBPqj/8Yp6gpAFE1ig+8obQJhHdgRd7LPrAZyW2IoLEjnGZNXHz5WuCVKaqG0tL5MnYgdDUrD080oDvIfDXZzuKPTAHPYAC7iKZjfOyDFVslCVePp4v7xN5ZaQilM8KE6/c0ImM3pubx3tsQ6nbdeSeCMKxT/eRSO3nJDQx4PplMirxRT/oyHhIOzJMiaA4E1GDjHX2Xm2vP3rOdO4Gfkc/kaeGPtU0hgyP+8MPWryzH2AZB7w3a1y0yvqQYDHGQ0xWfQJ92nCTIxj+KYt9DkAPyJssEZ+D8Fo0pAce9fTXz82coFErJC/L5vY+pkPy0XPK3uHv5uZOlFFbYK30SBE3xUnzYMO744wksuO5Fsw9tEDh6ourj1ukkYkxh5TgXMNU74Wvz/rZZySu/B6+4DICiaUv19sriZWETGLj80sSO35y3b1sx+fdr/abTMJ2XG9ffp841VzT0sSQ4DquvJKa5FxsHwGoPjGt+4w1FV98puDHUEJNuHBvHHL7u2MSZsBgAhfHMbS20+9pSKGKtLlXXuJYSru2IfwLXRpqoo5JOCfdsqGCb56veEYnjgYsEu4+41o4Jt8nHO0rmab7o4w3xpCMwr5SIyiMNreZE40wer3thng3goBXz3ToAFNDl1dE49sBL6W6iBbjvRJWhHc7JxeDCSg1hy9xEm5HZDM+w19PXZWqwlWMhdTWGUTcz6pISpRF2ggtVoSTkEpoGb8b/ADTSFQL4isT8esfe2wCIUwT5kfRlVB3rSO+s4pQ5Ivn2bemzxemRg1fTPpXcqO0ZXjZdJHS1Cpm2fxWsd4n+i2rw8SJOYuj/VI4aOvXjKJUGWXEgJEw24XoaB6QSVjg9wXO82dfd8MUZMqAI00nwEsiHZWLeDbU/isWZneXyFKk9vnZRSINpwkDJ9+0UqdgdzyMQw8fTTuuS6BxSlvC0C9cEzevn1PicV39LhFR5HTNEplT4vCz93oJyAaRHKqdEISh90hKIhKX0Us8kpG7qWyX95pP8jTeoDDX5Xyt1nQyHFv8MQd4EHfHmVdqGnwfjDoJjfOgD1Xw2PzOOQkisJExPHy0Wf3Rzw7DxKEHwCyHlqZE3X71mjUn4hePJ3PiHELAze8yvBxXF1CxWB6iT2LjmWrjIsridwkp7oEsa2uoj5zRnCJ5GN2ppmYqCfhwvV8ck4RQ/Ad2kaVTAuEwk4GKt8JVmOU6ClPH4nxcH9oK4i1BTgLSnGvCJBm2cGffDXPDJNEs+3QoMfrZ9r1sIyVVBJwY9+hlO8LcKyVWv7MNiVYSYNcv6SzzmqD02zj+5iekNghmluPJNryHMXvGpFvyUJNwX4ewUai/9EGlW1rRvNxQqW0kY3Q8fmcf9inTScbovEf4QLTrfT6XTMQ94PPQjPhOTcK+knA31ifwzvYb6zo0j7HuYwgyF699tpisG/1/GNl+M+Eh/YiqPFA1TQhJhFXRI7m+MCtIFbkpQK6wdcttBJIbU4IODoddMjmNgJBQc/+4hMbevF9CJjH1s8D0vRKEE6av8FpZMH9zjaxRAZ3TwwidRw8/g3KOGWSApHOMOnxEshALuka6V56JZEsgUnNdQk2nnTCDKLkqCSuZgWAtXATvXCdMv0OqT4vmyqzYaJkrJaTEwp0jFzHj92DHr/R/3ntkHgzGSHtRkJb3R8DpCW17EBoMsUgq4YveIEjNBYv3/NNF/H/85Hkk69LLQU0obPuuQ5GWwpSTSJOSspveeSbBTUJtw8AzNA/XxpeXY5JgFGIcYdPe43OuTW7oVNNtx3G47t7r8270JPwSi9HLsbiO9t+t1zzOQhxnIcZTMHqFgyg0UTZMFLdN6UWJx+ftizmHjy1rGJ4c9l2InEw5Np7jcnEco3/5rH/9mFn9NL9ZfxL1z8PKeYpvDPBuMovgZI/iuyyOJtUIv/eSUAhrvhO3xkHIM0u9IVqbidBCIua9sZSaydSOCblXep9g0RaXSJqFRLJ/wMAkIDkmcUe8Bu4yhWBa2R2wDeLtlZLwUpm76+BcgVuE0ztPYZTEz2eSqKbUKDFRKHJNk1i6Jsnc8q9jE3ZJqFwb+8ux2N7oJexdC/cnYwyXxZC0yo22mfhiW7R9Rim8C+zCBp55QBp9eF8yZudme0n8bCpxXhVMBpjSb+Ll6LhSYBFPhZH440tYJc447kJvLj0us7aP5pXMSNjbTgoN3mN7wgYcjrn62TWwb+/vljE0iVERjiKYz/xIxXSS2kktmYxwldE5ls81qOX8dBpmlJRdJcguhkSYCZwxGHP3mh0tOD8DNIAiuGLhxpFPm+/DhUuOSRtKQ+FSwz2BREnwBaxIzAjC1u5EHcctmljiNhGbNiYx9mXyITN3aULpUAx0XKoORigpHeN7HYdKEmg4pJKtUnjx7KqnCjxmIQIe4OkFop+5Lo161CyhHXS7uJZxUx8zyOAFQyuLFImaHGpBCscZjMsX4z5/TBssXotxDzQLbPE98w28VMKyHRfSuYukLq6I9I7Lg+Ht3R5E/lXkdXn1ElfJJLjNZ2So2b5r4PiEs+MqUnrggJvMfnNT2b/3JTHJcTm0IHKFwOZGzDYcs+9tx/UvRNgUneahHhLx0XkVCUWPCh0GzEoY0rdjkMnSjuaqGD+/q7qGiQD8CIZoPymFOlbxUYk+JcBCoDOeIBK7SQTz+9J/e2ms+vzn9yh6TX52iHfYWVnZU+zehxwiHuEUrSa3TVTaKFMNIYY5Cx8LLJgAS4Ktm6Bml7Wztchd4gT1jJqCMVilfRoXmHOTBpkiUUIo7GzcMfJeV8nQbIVZwZOo9uJ8vZcfYn/IQFxD4SKT9De1PddWhuvzud9TonSdvc+xC99kxvl7TjIJuG3kGvs+NTpxy7HL5H0maUvQi/KdY5Nwlf2tph1jtm33u20UIuy6nCm9ytCcp7/7rON0vM5H2oHwM8TfbMdxuRfKfX68dDVhkExKOuM4nVtqNcmsPoxG1s97FUE1BNDbNV0M84w46xidh/Pxs/2+LM9kP7bD94HTDivalejVOZHSfP1TQntyW9cYr2O5bfpPDrYQ2hgYGyOSqUGwgniIRBDFkBhY8EhiJeF0g/GVWcok4FHkAYBqLonDFzdYka7ieduyT5BE6UovLmttLs2Sq2F+GbPGbEit4e9t3UHcRcgAzlg4KKrjn+MgyqK9wtAC1ySJu3Q5vSiWwHiicgy/msSqfQ/iTd7oA/JO6GFjcEUgO/e5eTSVGPqrBGzouP7vkcbVCQojF45xR/rXLt+DlHpUhHTovNwIIqv3isgpHV8e3nBBLQrwhOg4w+8ds2H/Q5t+bqDyrBJzrFdRxePrQgiHp/G5EcsGGqp8tpWEX4RiHhFZKQMQMQvRGrqk2ZFEoUgjalC6BEqAgtnlhmmOMftwfPyuZ8jQ3mrfiVs+W5B8BqHAAJjQUhJewLUGUOmf9jIfTWgluZEkKm4e1j40Ou93ffh7hFnsr/7q+2r/l93qDtkDp0h5ebhxgA0b8wmeKHtU7jnEnXCLPK6j9u9ITlgYVu3vDZEGwYwGvkDKmCcKs8cpvsFkutVapHgM4h4ZPH3OebvTHKfEThjTZhtBxPSuvS0A71xzN3KPKWIl5pPrtfZq8Wu9ecIvnrl50C8x97vwZrLtkBp4ib/CVGZQtKohXgjHJMIFrEPYNglaCma2M7qXHH4S7yIMBL47N54zXuACbTw8nJI5N/vyvd/n3hCvxD32VqxZEtrU7BJ+4kvC0PcJr8S5XG/2tW2Fe5/wd1wum+136zEOD09zXPaVzG10rLabgovzFOeSCeQYbFdY2VfuwVHBawTuUUSn9FX/VC/Ah/IV743u67Uo6U0zlSaLn9VTQgUWGAzSUPdwTUPqMp3l9A2I5m/5DED1VNFcIvcVuSKpO6NRfXVuekt4YBMutixKJDmX00oIJHr0owuZVdCJSuYAb6G6vnYzAjI8BDQb4Tk+Z/p9jzGgMX4YcADl+Gcpl7UHFsMPgjBcJbVqipiBSGsaMYOekoIJurQnL92vD0579K+NWsJkBBreZjHfAUgRCbNs38VKKQCmoUngVG7LwqmVmAQqNllKCyKgCyvSiqi5amXx8k/QQcYGPak1m+YVHNEbypeFUAUR9HsRMKWNJqI4hpRg3BhKPQVGMY5EXNfXsYn8ad5Iqc3nyprFM/bDSxNHPJMYd9W8/C2Zh20kgXEMKf3l8/Srp0pEh7oJ7Mf5plovzLMtYepz3mc7fs/zYf+WYfqb9xe4SOB+87evOXjerv7rf35aLVPiaBvn/e8ect6Aj79eVWplRzcLcSpj0pxy78Z89Xy/V+1SvKP2JffgG1y0Og4mkwjSskszTUJNdXWdQN03F840nhLmwB+aOYRBkdDGBuPVyl2k/se4N6YEJ+GRYAZS1zhk8RPz3Cjo6PYajJYxqO2FZC5DsN3ED+edMCkmjuE5SIz0iusqquF3tjlCeIZaRGGOQ5NGEXxO0WDbBMS1MHP2PIC3jVzrxONcY/e/7QsT7yvMfri//M7LdU0hQXD7vK+rxp0E2/0mQUhYJNHPcfts7o3E61HQ5NgLfsXchanj8TvH1DTF+L375QOuOiWIKgcMP2DMP5m74QOe95Y3ErgPhqGYv7nJCtBEqAiCccPyW7qkeQgZtQ4Bvk9aRcaITV2AIkRXSRxgmskvBHzhpdTO9y2IZ6Se5TV3u7Ybu3nD5xrmoW35yy/vknv8RkgYkQXQ3No69kbiFf158e4Ao03hesqLqljVBpJ7SPFlGgmH8GyhTaVoK8sYjahXiUWAb302QfWZseoJG8kFmbaqNxt575mSOV3JzEQ05hl+2yBFMLRcVKU9JQ+IufOMjHje50tYyAxo3413usMNInqT8I0sVgoUl752TYr0rvRrcYZgfiKlRNm+RKQmg2gQxmF/LkJKvP6ezEWka44p73F9faV046BUccvfwv3rL3KTjsznyo9JiIcLVL+JGo8SYH9v3pOMIPtwDEXCCdRlPePwyXEn80uJ1Ibd1Pz27LvT6q+oZPvzj6Yh2ifV0+dsHtq8SU3IKdZ9V7G5wC32E69f3LlV3V/oVX/5H0ie9XQDAg3uRdUIPE5Qzcz1PkNwVYAAE42FrSf5fZ40wtdW56tXz+TmBdauUSG2S0ipnWliGsDXOBdYKve4V5yL+4P3en7FvMDdOItJrcq973PJuJOBNtfXdXXuVyLVByxUA++aSxXnAraZmlLRzAIXGc8ZxThad4pg5m9JCFPY8K80JYkftCPeF03n0jmO8821TDxMAWp0Ckmc3Z/CxXZ9JoUn2yrWhEwrUPw3amqYmkf2416VCQjTYuaZuM86dAv+pSAB4x0yNvtyHKkJvWNfRPrucgnmd8h1712kIOA1vurKUmf4051lWHHZQYtMDMYT3zg9Z/Bh62ZSSgQGXGivVl2UqOvbHe26F2pa+8ZGCoF1YqeF41rDj8DDKESra5zh1brv6L1yg1LoM0SAHOPB0cIDxVSf2ujPkLyP+4d1Rr9wKRQ/KGALoovwuF+Hj3QyNMfiwYiFEXTbC08VZ8w0V6kbuAozGRCfronFA9CFJbwzSZNbR48Wgmsjag0sZqTKsAHhT5tenXv8vMQee1w2W64I9+hp4WHF0DUqpejCLy+tkERDxBYxruLkrgOvc5lESnMiSkouiQVJvG08kT+JdS0wvpGuRPS8P9SA8mpuupTEUk20T18ia17NPi9NqnxImCX8kqgkQUpClH+bbfhss/3G+yCcEpT8LueXG8dxSsRo1/ORDc47Wj8cVGuLE9U6hZBbREXdXWtXryk7dkYxk9xXmoZcinPyh3/50R2CqnrV5uvtCOBpQ6SNAu6gop0OeI8JzyIdHrCLIOdI4JME9iyTnTJOEZPQOZaiYp9yaNMncCAOyxWSIAIR4JaErAhQMS0JYzJ+2wqVtqyhjM6dnDiXjC8JbK51EQB+ko4eUtcVi2nb9uNY/T1xpRDAU5wBxvrsLdLibn7FTakVZHvelziUuNXUuHK9/ZvStn3l5b3ijeNIPCp/A36AfYo6qGe4M7sWw3Mg4ZiCTo4pNbwmc3Fu9iuxz2upXqOhSQyhYciAvNf2pAfJQO3L590jV+wN8+ZoFo7zunxdAer3fVVL4DSuH6JXGNIFssgDsVr5tIUkgGSyyRcOJpHHAUtM5HQuBMCMepfcEzm6lbr9nCpuIhufO0i3pnDVJGHprN0HEkyY5UfsMe+nj5Vrc9X9u5+wOSTQE4VommOi9gFXde1Bscct7AAg3FQikkwkiocCxEu2TOY4A4OwXBuZQYP5LEK4KWiPBHUePt1ROo2xv3zE79QnHGf+pMWIQ5VIK8uYzVsxzDvhIvsbyKLaf/SEe5WKhY2XC8h7PQYiGKZJKHNVrmK9PBOM0vtHN4/zEuZFuh+qckXyyFzaIpEmo1if3LiOV0LvUqd5wd9Sakkky9/8m5KV65eSrfPKzZPMaFSizvmN/m3OJ+feJBIp+bxDarmyWfFXWOWVm5o21ABlrIGbEG/PZXQ1fIlmdecW4e4z5PKGMOtVckSQlUQ75SIZwpzh8iSvOSFo65/98pPqqwdPyIF/iCluvuqjJk7x3DQpg0/MN8EDBmKdR2EH1GMIx+w00jgN6vIeVwNO3ZcwgBWyasI4vAJ3kqjlvsk5+VxznRJmroMDToJYcCeSeOV6NQn67yqJjwLe+SQh9Lckwn5fJNnT/Ynql//VfQSXp9X2dxqPnWSjoRpM9QGp36eml7ckER/FrWRkiXvNNplf7A/228SnDOsuuYMomB0mmi4vh+H47Cs1aPsXVuJImmWa65UMimfUlnxZiWpYrME1cF8lQ0gmkSabJuwaApayYZwflSuJ+Cio3/f5jQnFu8LIK/WlZSbqKfkFcfQEoIXnSXA2OUxyJqVcABMmFqVaHovkSxI1pVkAE3itWuzFvVEaCiJ62iXnxX0IM/9tkCmnc7/eZHqGKHku3JjCh7YVVZwNjlA1naJq7jm6plUFz7CHHELAPTiS+ZxSrkTibZ09pfB5NyuzS4+csH9DkAmki/zaaLdBxI95zsXYgWhnIEwcvkC4Ll4UoUY1zHk85a+L6YIl4VONZdzH3BsIIURduKJhDE+p3ViOJ5E2ufTo6tieryKlxc/250skU9K0jdyIDUIXRWVFvLJxjXT1wFjmGGH2TYRPou7fUUnE+eb83Cw5BtvNe30vPmgi8v5kTldIGqNTvPTZ+3Nc/nAVQ3tvA+VHx5lSYUPDMRd5eDUAJ11gddlTuEBorr59dASOUSibaCwjaI8iR/uby/ez2N7GwLFN8qDMrqxXN8n73QaxTOVQew9wEEmiFCOCJcQKQAMQrG3ecKjT9eXlamlxptqMeoGXGzc69Bi7+jAXTarvCkq+0u6b87oKDt4nzFJtp43Iqe+6JwFvrslPXZ8Pgb33JB4mY+dzjyIbvZ2T6l/8xS+qv9z82zBZeYX3DOML5wfXynnm3Ju42MSFJKKpiTjf5mI1x1m0gQH5+gOOCGoxPmhCwMk+kyHaR2p8aQ6xrRSQfKahuTi8iCPJ/r1PBuDlfsh5NKV5x6kql+tZbtdjSRyqNcf6DDI8UN41r+Ycy/uagNc2CK5a0g1hHELrxHcJSDlHWgkkSbU+O5AoOQYGHRnTBIoT8HvuCUYMwQxbZZESzC1y8B2/cd/4fSLbSORjePTMEoAh/ZwuhEdk7pqGY8yqpoKFUSaNfLUXEHpD/S8Qlc+w3Rjx1jPXNnaXFi5bE0QMGTwRWQ1HJut4DKTRhVBCLg6Zx1yfdk/4oxq4BNBFcEEl4MzHupQhCEjAJaoSZuHglYQ0uTnfd5YmyD+Nr7AVGYRTSkb8FVbhNeDiN9XB5lhdCgYXZhqRJ4lmSlkOxt+KlJMHTOHD7ZqlhC3zlB8X7SG+F5lTarKdlHhSYnC8AsbxlXUMLULk87Mbzt/9TqQuGyHc/fL+D5XwHK/zaBJv4RDAbgLkA9/bjvN1DZP5AbMIgCow8QwkJWDh+/I5C8g9d8k0SQWG6sBq9QW3HYIg7yDO7eEfar3LHYr83rj9UTWL6+CEHlCex8AZJ0Acix7vcghjJsJz3JyOEYKmeL9MMNYnH1+vNl/9cGkiml9u314mlTELYqRP2Gp45V5xrXIeqTFdpeW4Jg2pTthFmoRkaL8LLHOkH7qWzZml9ub+Yf5Pf7NR/fGffF599oub1T/8u8fDO0NKzrG5DxUC1DqlI8kMsn/mbYZJE7ZF7EgKF+8aZxF4ovmdcr84KzyFq7BREk9hTJj7TMLXPrzf38XrZDKsUQTv+Zt0QEE2NQ/GNtyXtmPn/k0a0Ryr7/k9zhP5L+IGdMx4E4bZhOh73w8l8Ajk0RwREQb1BKLWohMokl8evkQxVSbtQWNkvBPQRSrVzmu4t+aISDhkG4WWaRaIFKJuKsJgN7FFSlTdNALmxLqCThjCtXZrMSqEnyOejEGcRXjHN2aUG/edEERxjKTTxzfR6jyTVBxoT9OYumpRJIa4q1LBIkjYzeEfJ758Z5RlVMgoksDJBu/d5Ll4jCVyiOcipjTqHJKY0d4kKSPXfzZbLa50qs+/uE5GxOPqr/6Hb0P70KQReUvQDCylFHzS9uLNOy5NQC5uSusiksiX0rKbvaEBOJfwn+a7yOvD+sQcXSPH6eYo2oF+25ENUqKW6npKIymB+Nn3woq/salsHwYROU/cBLZbGN6wmEMi83umFj8lQXJO+fl/DaHJ/mJDcIlvjtG3uU4pddl3vvhOafDVC0Lq55GenV9j7JOchLfhpi+RIi8m9EKheDbpHf/gT0hFi3/nKYcp2rzN33KOILFPnvE+bk2T2Ex6nuZzjjJGQMMnH61XX32F6WXvDQVWUp+ZpqybPnd55WbPdXcwSXhGGV0+c5WpqWmS+rG1eN/v/2vWpDx7jI99j/wyN27NVF8jVMirMiiw2XXgeo67yZC8id+myNpomgTzLWlWvXQom+NMriusEhd9LxH3swRXvHb/+PI790ETXilAeJ+CTLcxSnAlahyklu3z9xhKEfaGEahXadepgDWYYu022JzsTxC9y7DemFBoS4l+HISNzZ8EI9UHJ8ykwvc3Ja6yKfQcCS8RN3xKZxIsgaB6UZBPYmYllkhUw4tqabUHHM9ZqyEA48bjnnOi5nqEO05y6tTGqC1jmcRAfYq7yn53j/B0clhoC+GhSSQhMwFOL+wQqs9ms62UkstE5XJK587Nw8xgPC6Oi5dSqYNxrElgaX5YeDU3vdxawteQlk6JLFtZna3+9V/8MiInx+5atPmg+vX/+CLScAbPUuMgwdcp+TSG3h7Od1TK4eYIggJ+Q2k0pTL7tTGRKDeuxFmG6XqJJEXF9HmbVuIfpjF1XqqToX4UeBfTR7iA2qbf20cyWn/3ewm4eOGYgdsw1Fv4Or7UGPz8IVfTRPShhMJxe+9VRCsZYmoVbtaU8MWFxGfHZhuFoUk4RCMDtgRdXt4ygyS9w9nIo+cy4bNwOW0vWDwbjyeI0pgug/iemuXwEOLt9y0I9tbWNonOMPXhNzvYxEsKif3e/ZXqN//4eih1dtACX73erJ49YNEStxIOjjvpuvNw3iMWmA8B8f9f7hE3BaQwB9+sgvSPf/sNWs58de3uTPXs6zLfJJQ5yKZGOronuHeA99YEGVDDI2TUXJf3+zeJcWomCVvoioVBLEYe5o8yvuGBY5o+Eje8J9cj6ar0AJoVbtDuA9cmiXUKfU28biLTFe9HQfC7rNcbAt7gBKHaJMdysCt100orek+dYlKJ8lW8NyjG76yY7WRiUP4jIU7JFaKvxGf+5cge571K496rlCuxYSSGKpsqVD/scyjEGWL8Be4oVqE3YZSugeaa2O9ukTiKA0yocpvS5T0OMCeR0mdJzj8+1o1iwEMOXKASqSkZjwUQolqGm6KYSoZENKWcJkdOE4iLlYhTtAoXUJOPBRZMVzrN6YZFJ6zh+Wf/8vOo2NIlV/Q4Sc9bn+NJw+bW1/z7fzzC1RAVGxiGG2gSJOGm9qDEK0KLFM3NPTovf3MerqKEN1U3kQ8mGD7C3iOBLQwyoiBz/CnxSZyV+rlHxjqsXep8bTslDpm0CKoayeHz9LIcn4/mYydZVMMptUC98ae5KZ1nCgZv3/n+b94lpDSlMDUD73PtktG6YYWV42fMoVkIa+4xq6FXk4+oFfY53N42yMtnirawu3tQvXjxorq5fh1Pp0MEiU00LdLSkkulPo+5wI+f94iZ/R55xrepFkWyl2trs9Xm9YXq9UsX1+mfVw8f7EWOluEhZO67ZKD2WdYy7nmXFP5TYfhf8n5hLKzLWN1zL59uV/c+mammLduVeQKuYtq5tlcw6KgQJI6J003z4VVzybaTcRdKaXBXEG9hKX3K/RSEqIEAV1HWIsAGHqQpxr4f8aj7xDbdTx+yRmUvNCvS2+VPl79zyxWqK5EzCEEJO3yalVRzI7Aw3mZmuXB5kvBwX3huaBIRqN4gsUgVX6KRBEgzQjEFmANcYi0hN/G+Pq+ZaU8ARHX5KG2FNA3FOMNhfMqQeiSdk94uvuZ7EEIIZQeirvRtDmbsFZNQ/rvk5d5GxTqFoKbFI9bYDcl8ooiuKo/fNRe4iQgurjcUaS7d+kLNSyJZkCzmHoTdsH5yiXPQalDUDJnq/s1ffFk9ffEUO//rqGJ+ildCz7GprkA0DOO/RDVkcDK0lLiTuwvblCYTQSS0i9FtrSIKZwmxxNl7nbxjk14kkRf5t3j5V0nG9fE31joSltkm34dXkfNMxKS9qDrveosTRTocMnrWc5iBzfdXXc0Nm2MtzOAdT7z99Y9tDtt1Tf1bBIqhtG5fiRDCmfvCS4m5GPQVuVIay+FvRxAMi1bnJc4fYOfe3HhdrVDJeuPZk+rlk4d1YQgOQo9B6H2Sr0nIO5ySi7997j/Cvr52u4VX1QpFQQ4jc2a4yrJesY8cc9F4hhJdczC5ph8MqA+8sdnHBz7yo7e5zuKNzLNcx3hBGHA3Ra6htzTOH22wcYM4mPtP5juiZV9qKimizxRBbeipJG40ie6P4attpQCQ5yjihXb03KPvE6fdb0VIiPGLi7SjY0YW0L6Kn30IaEICD0SmBX2VRfgxTAJhJ1XAEgD8HnZOB+zvmiK6vJeoMxH9wCUeIVk7QBcvkS43E89wMF8ZvID1I1R+fciDCCgtwhiCIUJMTBQ1wKXrlBzfZxPYGzl5HJ9GYqViygkHSnqinOKyMoXeO0lI8yTi9DGbZpr3U/iMn8mpHWdhOgmICHxJ6TNVJjd1EoYiARsuL0HSnhzmIhuwPTd+qup+xxws1K4J6NmDnerf//t/qO6ySSfYjcsUvj1glz58+Ko6ZMzzC3jUkCFpClX83mdzFHfwcBYNY4SwKaHHV4UAD70+8r7s37nlphfmMs3UeHw+tYUmFiRSi1C5wVwfYaJ6mMgYSFHPOdbTvsCU0KB4CRcPaQ9fF8ClxJUS//uwMaVL209JqjlG33tPmksSf64ym1w1N9vMDZpwTAkrNQ6np7aYTFFYyPyuuhpEzrWCPlePn21U8wTubLx8xvqdkrRqqXqBOWRza5/6sVMQczxQcC805/jCQptqPH1K7u3isrha/eyLa9XX37wCf0lbgTARoLKPPA8YHYNjFB7/JYitbXr9rtQjx95so6m9luY70y1SI5xiVnTDNyboGufavG8cOX+1xwZhjgRpVz2XuOK6FpPiUKgZ1bJ/DK6Jh7blGolDOeYUCqR/KfBcBUvH7x5JobDsvTE09Ei9wH8hjeuR4usnyOLFhEISK0QBVX6rkVzgUxWSd7HxBIFXcs3NjMQX+U4Y+ORq4YT+xucIqBDQAiqJEO1E9CAT0RPAXBdhl5UoyiCUIFXL+T2kT54/6Y1Vz18+rZ4evWAYM9X925+Q+W2GwyMq7xjEw5ja5HBuz80j1RpY0alWF1aqF5S8OulxkNTkzkmMbFvC5pUqaS6on4sWEdnQJMwgSJS1kpDzWxsbmnUjwt7M97qoGebswauS9X/4y+fV1zdexAJ8/OlctfFqQHKkAVXdcXIgWVKUgKKMzvEh2oELlxuoDMl+ZV5D6dHvi7RbG7TLi7FEBRul65S2HadXIqTI4v3l9+llsqsA6xO8ioYn86VNg1tcHw9xoyBwPeU3iMojnrw772Dko1dD2rri18tf2bBwfp9UmXBx/E3J5sc2W9HwwkQi03FcTYbr864rcFD7CZfV8t2PjtsbZFz08cMjCDDmERRAakWeEdV7XD19TUZDhIf7n6xzzjIeBa3H4XjTmP/2j15Hps8OZqfbN/EfxwPg+2+2Q4PVXBjplt91/dicP2jgjZua7SVsRwnpT2nzA4i/qS9MFnawO4IoP8aUcxx5X2r57tk8oJd+5FUEsDFS1kbaWYl3arM+K034qdqMbdhfDn1UC/SzbabmdxU83DO5bxrwtzBNCIWi4QfA8aplCQKeUoBIFnsnqBd/tYmq4rkh5msJTR/TEJwkwm7q3VoKl9DEPU401Rzun4IIzuKmdYx3SA8CYfHfoV2ShsIkBnNYvIkr4OJFtf2I0UAoXm0cV3/5v/wdtSGPqt//2RfVvXs3cfsDCSKj1BgRlNeq+eVVsssRsovEs0h8/Ng2loH2C9y3gFYBzKXFFdhJHEQK3zuZHK+ftZ86b+ejlCYcfEEwjyVuNi2Tktn4LDBYIpXtEWky2afYw6X2F9Xf/8e9SDPQWucjMNnhN6XWC/J8G600f7u4LZaFi2IOMC5NFFce1HlfMiX69zBYFTxSXzZNVc1NUTam9T5v/N5ktfED3jv9goFJHJ0jQ4ph8I8aVxyiivhexfziunrWYRWdS1eTIDSJZd6UBLKJoDLAlKTybzJZn8tN4uZxbs17RhG9SexLn5q8wjQhbJobzqVRo+IZGaXeQZlXZGRW7/zoQf/L10fEIBxX60ZvvjysViHeUyDLDMnX3CD63C+TWW2GhFk7RI11pneouUmAD51NtU5xRcQvnGQ8u0R9RsqJ0Sul2CbB+tANnvC46v4UApoap303peAPBUTzvlFGO/obPoNK36e61javD52TzyhMiv+Jl475KqLIHMfZj1EsJOmR807iPdrnj40hNVnbEB+vElbSXPchsGv0Z94c3U5/khAx0kctgScRcfLJEkR+6ThSZ2TfK5tO4jZFAML02li19wPCvwTYTe6GSZuQjyolUhdwjDBl7YtumJBcvQSCgOF7iaQltgT2fpd7/B7CtL2B9PoC0wkfewcPqzt316sbqyS2YrArK6tUEJ+HgLaRZk+oXjMbNudzROEbK2vV1w+3SBlK/6n+5KSTGCfR8a+IUVRpo0O1VR0/K4RMuDhWtQ1tWDIc2jU7oRLc4csyB9VvYDS2bDpbGmUOB2S/83MkKeJ5pd/M8GdN0Qi2GFkMc7MEM2lu6rTbeq/9FI5vQMoE5qiI2Eyz1ahEQ7+rH01Vc6tnJEwaVAfMa3i4m4SVv8E0CoKan+bSwWkhnsGwtdkq2Y4QRYcWhSpE8JErzBTNifo+P6f5qvldPp99CLck4lcR71SvfS6f4f7wqLniyvQOEvLhwVPC4upHLn0bwV8qMdix93ArlElvg4NL4O/NpWOI+ybFHdYp14ekzTmNMQwLC9PVk2d4VLX2qnvU6zvgfGZuZZy6p5oJC7ztRXjkWFxTiY6//xiRaY4wiXRqbs3fbCcFl9E1+YC5/y63GFuxdK1FPAkuv/uj4muZ74fMrykFN4WGkbm7F842oRJJVP2buHAVnr2P4YnProE0KdcmTSFXwfd9ALqyH4n3qET006BcTChIhoHxNBaSEA27aZCezzSHJFKATHoxHB5eVO2PmROEKEwh5RBGNduKOwJvamai+v3/7c3qwX/eqDYfDGpTiV3kZrRnnjWIR7V99yE/FkbQ3LCaGZ4+71W//qevqz/7o8nqxsIdakbWHR7iA25Kz0kIeYc8m6czBFqQvfDm+svq+83dtyHhZhfwjkUpzekqcdK16cWnb5kThe/4zUO7CEIqdmVNOybA8sBreDbAZ7/XfHLGkGQAA95H2Dx92R0Jx4ZVdAKOzHeYS6WM0HEotbmZk38ObWaJfD7reYOmE5klMD51bfw9iVhjI1jS68t/tlLd/KxdffUbUqYalZbMwbZSGynwF/ZRQME2CtOYgBnV/v58SR9B6N9xRcV5pduRzRgZGZtXMtXCNIc/aWZTs/F7GbvT4m9ExSYTG93/SZBGJMBhkrFmv03CKPxsM9Xrqzb2u6cagzMmIXPEC7M91kKsnO1QnWedMxncXR8+esLylAIRzK/VJsDLIDSkFO2eMVfXJFV9+2xu9A+VjH1mlPi/a/y5Pu+Tmt8396t+e48ppI2Tgcy9FwVgR67YILwSh99likt8/anjSoHR5/P8owmnUeY4yhiEVY7Rex0njDouBdwPYTw55qvuDQL0Uyd1+f4g4IHb6pXYaE8UiSXgSdohRtMQa2tanihxcpuI16cafRBlJRk3vpuiSGu2ubzcqn72yVJ1hM/2wW9B2uYmcS3d8DAIbT8DTCtNycAQfolUOM0XtenBs53q0092q09v/7xqc2qoTU17/fQ0yYCgsq15ojZPrf4+Xd2/daN6iooa1ozmfIu0k9n8oiQZ7VuXM2zA3Gtpt/YN5gL9H0Z90YgHlYu89rm/ByGT4GrC0LeczKRD2pi/Oe6gLxJACbrEGYlZGIXtem1k4cpmlimGFsJ9bd6rRZia1mx15oJ2bIdI0iFhCH+1HglREiieW1rqVP/mv71LOoKq+rf/r2fVC7IsTtH3OHOKxGKJjC7Dcr3cln4LdV7NwPaYl7nNhxGj79mkgUOjuCiRkynJsL1oewI/eJlBerEMD2j5zTwzOPBgo2f+jC+Sp/lcbrzohP9lEn6X9MAxjxK6plSeYKa9oV08BQVxqymhjSzJT/no9tmEiE8SLfz5p3iv4Bc+IHz+hP/wRqwIMsb2PoVmeEx9zqNqn1qYwzw2aRrLsSSs/excrqB9Q00q95y4kNJ8EsSwdda49Nb1U4jPTwFE3luIoedkm9vn5Ny/AoEcQ84t5/Gusbr24iPNDM17HzquJAJFOBhqXs3nkwmmhuJvCc8ixAUcm7j3of2/475JC3/QqMy8TlokcfXmD1+c2gZegGc5tXj5OW3Zq8BYSVOO05AGPXzxiiRBtsJvYU4p1/rNOU7q29W9O3PVw6/2Oaih0dwwbmaItNVzOKOM8UoM3ZjTHECsfT5R7T6lzuQhNkI3Ms89e0Tqz093qz/5PXWkMdTQI/KGzxF4SaFaXLhOMTTvHGzjA27GQpz+OUQ6s3J4k4Lbvzb8JfqGgPa7jL+YQbRn69qlTb7Fb2YsjNwljJVCLRHBqcYQGRedCr9FSlrt0czdzx7QRiZGiOqZkjb9RUUikNhoLQ89I/2uSDu6Ro5TiZM2AkG5R4m0vTxW9cmopgnHTIqRWtexMPZoI6W30qZFdP83/2Kl+tnPlqv/6T9+Uz3+jglp14f6rX4yUe2QPvUY5ptXBFbRVpjGWA/NNDJqtZBz18yrzH34UNM2W77M6jBvzYt2QtNiIeZWJ6rDV5oNCme13YJr+uiesi5ReBoirgYUB9r+XoYhbGW6A+ee11VS6lXqLfAZetmkJpYS+LuY07ukoyv2VwQwA5dt7NqPnmxUn3+8Wt3/+BbJrx5WW/giXnTwTZptUb1+t3qMaTAC1/LK9kbbfR/TbP7me9trEh/bShPVVQzgw2lEY6A/4W2hKadTp1UX88lb+e1tqrG2Q9ryri5EGeejYDGq1f3YsIRLwsu/VzHtJM7uJ82lXgpeTTiLD8L5XZrCj40jfy/MTS3Oy+R89VXXyKzLyo+qA1c3XkvgxY+wrjYiqyucQKmRTWblmqG0oG0byXCaV+9Vo9GyYC7KJET42t1OBOAsksinxeceJ/TDBP0ewLGJOgBL+h+RmS4MEvcMBU/1G8UDPFwKgwBKgJAeHz7YqF78s6fVrfW7SDFdpF9ctSDYBvf0tw6rF68ek352gjPC/SgsPLr/ooK39J9pWqsyDrBEinJod8GcIiqUcVh4130uke5gjtiFiO5BZCSgYSoCNtr27YQYjkAKmRq1bqsT1WX6kAno4SEB1JQS+0itIrl9c02EH8gRZw3l6gP3wa5h2nzBOI5EKPuyXxuzLS8H6njo51/+q9Xq489Wqq8fPKt+81WxeWge6VqH8BxfXDI5poSqlqAWUsZjAqQIlRcmfi8zyTOCHJfPiuTCrkE8ZQQlN30MyTb1zokQf5l7FIpG1sgNUeabZiXnc7rJvaioc6T4nZnFn/8FB398NUta0DbFpheWzih9R7KoJpf4MUKUSHAVw0xJtUlIRtek+flH3tcaDIf1IMkpVaMuwJtZjOO9bdxeSTe7TejxKzyTtsj1Y/7yuFJQauyfS2aUD+2/Sbx9xvbcXP+lrqZp4V0wdsuzz8JfO00lP7ZeV4230LMw8dlvuWTolwLhct7+Tc1stL1RZpZ7we/FdS/7EcfdZ+K5Qkia8nL8PiduC+OrBIb3wb20YdBXXdhYkbPJxRMh3yVBNGAwfGua1sgj22A5IblxdQtAFuqfO0jlVumOCumqbkmQ/Kx0zX0dTBvWrXyMy9U+CavSxhAbWukO4BxCsLSb+p6039XCzUlSwY5Xe0iJ8xDyweO65mUU9YUQPnm9W/32tw+qteWlqo9ufk6U5jmi7T6eKX0StwwwCk/hP3hEekEPm4a208K9XfAzEEq/dVKnRBV0tYYzCHMsnuYOJVIkaPvVvHP9+nhI6ie4JWlG6qiNSJyU0HnEg0fLzNmXZdymOQHfJ8+LAU+hPUg8uUeGkFccoHk1kdnGEpm812c1JeRyyPlTTfb3RV7C23EAO+/95R/NV3/yp7erB9/vVv/j//MZtR4Lo3X9GNcZIuKpaXc9obctYBBFmplTpN/lr1G2ElNTdExhgjHR1zCfiGMUWUXmHK/3Mh7L5o1KUdqvI7GSDJp7+uSIvuTvnHjahAPznMEjaXaegs6oEzeW16rrS+N4+VD9ndPDScLTZZhhCmpeP4VAJLHLDWo7P75XLvfXmH/+4CH9CoeTswgCj169rBZP5tC62hUesdXWxjnJxfBW0ZmeJYhK9Lnx3whgl6XSkSn+6MdR4vi7EEs7SeLs+N7VRs4/YZcC4wgzVFoOiTmFylyn92kXOdGr2ixatNrpW4fm3B+urldpHE3gNYVb94FjgmibFjrGiuA0dIN2PgmHkblZ9s61PNME/DtI5YFy4a/9DuD96IKnpTsWoy6lGWK9lEtiLYKnjVXAabeGcHgwdazpIaUzpKYgShJkbK1VS2mLwrwUdF27PoXL31S18T0zVBLl3mnuwVW7lsbc/Et0x3ed9kXVJTjk5qdWBydlLMPQNzw4OGOUmAwQR0/x5ZuCQfRxoN052GVjH1Y73W0Oiaao6M6h6S7BPmVdAka0YxDQbGucnApknKO9JaS8ncf4pxIqHYvFd0qREqsoqAsx03RyTJw8Wm88s7jOrUzDSvaaQ7SdByFnXmYYjEhTzSXAIeuDau8WroZrRxoBPo/RzpWHz94oQim1p7Qh98/NLpIoGeRf1wP4aKtfuzFe/ekfrmLSOa7+418/DyK3cLdmjqqCLTyC7n5yvfrt09fVYJwFLPbEGKeSDPBtASNdQfVTV+oPvA0u5ZvyEqBNyZX2ZYhK/w1NMOaaiYuawkUwtabEIrHwlQSZ33bIZ3OEbarFzWOdXvUDjLy/hzbnBqPdPOh8yzbc3JiOMxY/3zT+On5h2mCqV9z1419d0fYOmtqj2SMSWE1X++Dni0e7JjoMBr4LYZibN6dHjS/J8MRvzXVB1PO6ai4/PqL/79yRay3uvIswCcNcx6b0nxJyQzsbrkPC60MYS+LFqHTrXlXgEG+bMOK9JrKItH7XlYKm/SeRb2pA3Qa+iI9Fc4h+0nQjefR7xmdMhGdWkYJCov8Tr7ARXIoM/IkNcHuYUOrNWTIRxheKn2UCEnAnyQaVsE0ts9dQdcOeKBEogNaGqlro5Nz8fQkw7HBm5qL65R+3q78+PIVoM2R6tHq7h4BKjQa5mPVwByIz3TmLepKe0W8+Jxk+Za5m8ITosoGjwCt97Z/sVPsk/Z7BNLPPQeWrLYJnvntctelnlYRSm+Sa2Nm7XJg2vDxgTD2kIFWeCdTxwQESkYmlRDQJGP3at9IyZ6G1KYHf9iS4zF0pe8CzWGdqIizR1g4O8TLJURww+p42z17XCBIEjd8sImCRiSgXRpu2dZXqFyHVwlUJV9UMYq5fdkgxtpWEzjEXDUNffIvefvmHnQhV/tu/e1S9JspTe7dS8Stg51ou3mlF5OexxQNEOtsF6Vo3aYu18KDNijLamCOtp8xJadx+R6VdUSQlKNoOrapxiTrmozltahTBxWrUunQGkBJOQTv7n1+p1cq9F6fVr55163TDvPYQGvYZs2YsD7SG2on9NDf6hxC/xvh/wpnRm1mOSGP5g/b9TYj4Gbt6AjsaHoP1eQpj9DC669iXCkyV9tJc1ZQaQzQrvwUwL8P3v/inJHAKD++TZh1bmvN8xs8pOTkvfxN3mtL2qOSdcx0l6qMMICetqRB1bmLJPNojgKGNIU68i5m7x7LtJhPi60tFQewvzYmau5yPz6Y2oUAGTsYZ4O8gfdt8jvUCIn5puB/C4Ao8agIuBpcgnmgqN4SLl435HRPQdBIEBqKUdqbIY6JdWGkQoDiplwQ43L05gc1yr7r78Rq24Fb1P/8lUZIStpTqJIi2CVAmFNBRlccx4xwQFNOCWq+sTFRbT6i2o6lAVYXRPtnYrl50X1br1MrcJRPQ8US/evz8sFrGN32sjbcLoeqz1Dbs5QFcmWikoMU+qWah5K+7nyYRF2b2FuOH+Kp+6a8dIfQwrts/49CNvg+JXtSbQtNJLDLjkEARWFctQQynuDf8vWVOSgAQtNAUleaZn4S0QzrMYwMZ+F+XxUsX7UThZpFDguzD8hb7895EOMYel/B3bdR66Ns+ZhemINx71ffPeiSZMu85RISxZKqCU+Dy4ukW9nnMUjDNSGpFH5qAIqUuY+wZpemGs233RmFizbHmYWUcSjHfSRJatWCeYc/LS4aZqrNfc28cTqrhOEdxR8GguUn5LdwIgb+E+hxGY74chQbPHExNHGcBZbMMs0Ta5yjCf8gGyB2ThCclx5GlufKj8k3B9auIv55IvS6TY9wzaFsKKf2NIidpUnPurnEhgEEvC2HoLI7XhUag/BEY1zS1fMjYfuyeD2FutuEcwaMUQq6Eca6fgpz44pzEnYIb8UyaTD603+b437WO7iO09Uvlzhq4F2/dw2qHnL+dQU8umSJ/DEbN33PPOz8JOK9MiDVOLIyCnudtQ/Pn+xjeO/qtzyDrAschFyRT+4BxFgKuOlJXF4nSaiklSawSiG5IN2a3LJCTKWrGMI8yRMENaMT43t4JBYZ3qznqDhrhef/ucvXVupncjjFngMQSDzalDKF1e7y6/3tI1NvH1auHx9X1e+3qxi8mKAZ7XB3tnCM9sgGQvEx8hSZdffP4cbW5uYWkc1RtbferPhTvxQ5qNmrBPJyxJ0BHFj+CSyVW9D3gQFWGY0pPzQ+rmG9IV1Edaj8DKSPrIgSHksmRaTDc+iSwLI7EpMXGWrxG9CXStpt1HkQ3v0swGTbnpIQWOEy66PJDQSrjEl68GrVMh0s05OT0N8WmF/EHSGxDqcCVknBLCCEIsWHUFLhvDk8VxfrDvuKJNT2r6vVD/Iy5N/YNsNjdx1tHPJOYShRoW0kwQJXrbZu+0ryQxK1Jm4GfB80DTE9GZXau4coJMTvp8WAT8YqGMDzxT2ZQNn0Uf8IMdu7hdmFG4UXFGp1j51YS9xU2TWGfdvckBLbjewlvYH35LEQ/hICPPje6aQoBiPP80fay31FGnKvJ91GZSo3sOaiAlhMut4LIl8+LezIBYe1YYMbi4wxraSHt0K4l6r+jdDdErN/lTcJYzUHiXEwGV8LVtfPlHNTA1YzKXghpNbX0JOphl2sM6kPWqjkH+jFRnT74JCJ9/8W9k6SgPRPHGlpkxFIUC8BbDTh3BaO83/E5dr93PqlF0rZfDSNp0xz3YwQ88cy9GDRXWlgjUm3Ert996PWGgINNQbxdCAeRiJWb289Ngp4TdABKRylR8ayRlVZ7X6QEVatzGP6wpydUqkH81m5kAqhAXNuQAK1OVXtPzqvX35LTBFczCw0foncSfFvNfIpPOYcFPZDDivMWZfj+yV71gBNUNahdCCg54+tNxm87MBGlNWrNFupVg0KpVtPJhYsJvJTulpC8tWlru1YSNWpMH/RDNp1mjgkkdhd74SOmrgSuNM3itiA8LajwPm6OHYjtAcTFs0F9yLWNz12v7eT6Yavy621zQF2+CBii/Vj0BuKGb3huVFVtnrm0jt7vSqVUzP2zSzWzERHXljk7wO7veNfpk/KN1Q5M5sSNx3O66J0h1eqHLm6casrxN81ijN28KhKWKMHlGvubl3glMvu3bDy1BIMzqnk8hbbJka2JZhWNqWkDl/jJtJS4xSWeb3rX2HTUQ+VgdYDJIeaeUr/rpjbHM5qyIklawkOkt81c7ySkbp6GOeKDfNebG835jWw810QGIj4Msv8CllBYRwmra9Qw5USMANpZj2cHL5gvOBxMy7mrwTHeqLMqKoCvQfh4fpfiEuFdJtz5cRJciuhC1vDSGFOCTw1NWPnc+wjICN7ldK7863q6p1OyjkUrfeT7pDPuY/sHJhEg5eV6JI6LTz+VUL9rcKWfK38O4L75RXJmmufwpGoQ8DXMiecg2MaDH7FN5Zj9m20L76V67c50h4VWDDXJDzB1TaERRLZV8puPplEIp5QygQ8l4YWAa09CKqUB6/hdSqySko5wuWoREpFEHDcXwDKCUWRVtWiTA7u7d1Q9/PZVtQMR01SipNGDGE9CUBe/mIDg4CeKuHrnj6ara3emqxPErQN8Rw2S0d4pcSToMjxAPHk2xaeSL+7fNRHjvW56quYS2nk2XRCj5gL4kVwr2lMlqHMsQl0Ts46iE/Yeki0uY/6hDT1sNGEcdZWKeCnZQ+z04zZR1iEqsl4sfaVPiJ79Od5ZNiru6GHzNqrTIB/9wz1MHIO4StgiYVQTlrFwXIV5xvvckMWcEmXrfM9fNZjbMI5DxrYvPJlTV4TgGeKbONStD4ZlrGeMKarw8F4BPbOzhRsnEmIfYh7uWbYtU/Ut91vg4IT2g5ikWcX3vE6Y+OQcb/ydggfnwCbU2eacmOdMBw8evHcC0Ucu161PgEcykujf8TkGXkqvuiFGtT+FBJ8vm2iYftVFs183aBIvCYfSkbgoAcrNl0NoEqG3RvXmizg3sS2ZnOs1SrAb7cjUXZvQorzoX6akQHDMPIbw5T4ZYOTZ4XnzwWvGi3qzaobAM2BQGKiHy6JEHPYnPoxK/cnEUvB6z5wuBQW9T2Is6xzpIRBWxjCRDQ+u39d+CgBNQpaCoGazJlF/Xzs/1keuafO+JrNIk46MXpiKIwFIcX68+uzzdQTEfrWJSfGST7mw9F5pWbaXDFH4lzZiLVwj6MZQOmedh9prwu+KeTTNI6buvhT9+BMk72y6JuBllwz7TfKfXzhwgeJGTo5fWnBzRRCOEi5/JbBH33Mr0uCrjb1qYXm+2qZ4wdMnqNwQ7XAbLOaYGSTgFn7J5ktpkdrtzr3p6mi/R05lVp0+jyCicqkWbduth4Ta0MPMptSvFAczmFSCYRyaxtZoUxvz3lYBeMyPZ0CqKSIBl5Fo+qQCsD2SGdb1J+nDKEC/s2J9n41v3UxNNhIy4Uxx8TCn9JGstbGPYY+Q4W0xpznm7Sb2QDNMErRJEZaqu1G3r9ee+U8iMICxjjPGprYkMR8ynIS5m8B1kPDTr6Yb85ToD333E7Ulc0/XMHr8kLEBMk1ZwWCU5pRg3YBKcRCKY+blMmuPl1AoGQdx5pmKcQ6TBDHeWvvgGTc57Y+q8ftIiXpSJNG9lBslMSsYPzACTpqgwnbutItAEF4vwEvmFvZkN/oI4ntkYUDPGa8MW3fDRZZIcVGNCLgasRtSvHCS4Fr5yDOQUeKdY/uQvzINtSphJf57JbF0DrQdhF2YymyEdZFwI9c44/BwW+amcGFbzjHgIALTlma1oV9zYZ5hInPthYk4DX6liWVojkppv2g3caYgccz2HGcZ46WpNgmTsMmxeFOaBoRjU5KVgepTe5X05vOOxZ+LtneJ+GXn9uX4rpJQE7ZXMSafT0LabOuq73POtiNDt13Nbn52nOC95y5tPNFuLpKPZjBe/WZqK4SsoWZhX45xdCz2532pmUIDwrSZa2Z/ti9O2q8w9HWFNnSKwDO8As7l/Eh8oOMxkEJTyui03zx0+d3QhCKSnrGratJWrmzFxkGs2HwpZeQt3sP3EuYFECmkiLKw51DYQ5xgv/0nAjBQNVJNVLJYRp23muUGB2dugGvXwHR2w4tXQJ3+lGrNDTLLZu0B+AX+Ski3AZ6SH3ESwVQ6qCRLa0RqfgOxAIAeGOFJ+Nbl/GYlsNxDxllKoKH534Se0o9JqSTwUfGHPrWPu1jmfg63JJ5RanYTqsLv42ZnFkbnozYROML8+yyy5ZaUvHYf0R/MQs8VObXmACUpA32a28H3SnrhQjZCcEJylhgzDn2qJcCz2p+5lUy7YW93TPuMX6Q1wlRJ28RhcUAvIZEA0rZET6IcjKJIgX2Zgwgn4vkqG1dz0mRvvFoiBe3eEbk8ivkk1lW6SBsegkZhWiHdJAx+ph0JW5/DI+GWnkpDAk2fMrY51mCftYraq7kBfd5nGMM0Y5ZIosDVl50xH1MYqx3Yr/CMHC0SbtqdMn+LJgdvbxKo0sQH74zssjDRoS9wtlMWMSpUAQcjdNWAAhmEbxJQmTlMRg8UtcnM0yIBELdCEytrFU2Le35XCOkYuO3eOpOQF8Ie65DEM4lFEscCo2AuSoi5h11npUuRx7EVRhoMI+GfWpTAKxK/KTam9Kcd2vgaa+HbJgFOJjJKAB3DCN1IML5T6PwQCuYajF7CQc3Lq7l2hTHudU9J7LZX/cEfrFZfrXaqx6qseW+uRbaZApRzpN1LWljDJDM0bwpH+wdv4zvXbJSIN+YV6aVDKKg3fm1SIQBsSAiumN/IV28IuA3QQpyINhY9619qEjAL39ETuihzltAZfq2NsLVcI5p1LoNw8NrYPoSAUNT0SCQgi+BH1orkXqVwblN6tI05JKZ2q48dl8wRIOSBbUhEvI+N0X9BQA0Ef18TBhuhegX+0p9S7iFEQmnMqEilcUzBdfRmY3HdJAvcf8EYXj3kWYA8z1yiMAHNaUZRgpphjo5fU0pUCqItiYNJqiTO4a/LM5pQtHVLkMMvmUYc6w6wcQxKyhJ6Je9ZCIpu130iKpWQI3qziZyMU1OOY5SxeYW92GVgQfPwK9LY0u8upptt4DGM4MsFVTNhrKESuj7ANdaO99Ed7bnnw77uprcvf/NegSDR5K/rYcDTCSaZ9nRt4z9izUJCLsjYxltoCi3k8GVRh67CM/qT6Wg6msWbaEAQT4TQezlfxqZGE0Q2iUlpx8pbcdDL7UE3JCyFiEsArTIUScj4jcy8ZlaoXS65v8UhYI++wtdaeNimcGQcsQHfRRiuIgauSSGImd5guCFZX2FneoMWWtGxbri27yUzKWupNihDrKs2FYbps05bPPc+JWi/UFgAzh6CTwJ33W2jdquE2PFJ3JtEMiXxZBb2bR+uNffK4Iemupy3+JfER/oBHgdTFr7eU5h0SLHCGjXoPGw+ZW75x88Sq2Qc/h3F7ZFH3vqYTPtDiHWz35z3+9oXZ1IKBt/Co0ccEOc5OJpgIWfmnCRfOGfHkuuX7dqPe541Mk2CBZXfIsisZTyfGoZrkQJPwiMZ2oi2UQdiltQlTaluVBV9zzyDgMfhJZ28lVTcRp2jm8SJM5EZpNY+G1q3uhXyfM+sjlXPThD9AZgSq65+EQQjMUTk6HaRsAGePtYSPomQoepKy163705VyyBst2vgzxu7p0RZwiZOr96ZwDwxUT19zJcimlKskg0AUcIVwBL0BfyH9zHX6D6nnbi55uYs0UapmWMG5Jb4brAgSojakLV3E+wXC6anjUUnwqZJP9RgqFp0HQdamh5oS9U+DupkAm5QJR7useCD9nJB2kNKnlCCEo58H8jD56GUFcAvoxQJ7A5YSXhxd6/vB54ij7dJREOCLhLBpXWVGIo4EoTgSvVcZLBK5Yapz85SAGOJkO6nNLzL78AiJLWUjpSMeVYY7cFwuj8UDlfGOLc0jWvlGrb/4+qxBXpz015F/HJuwyYuYWhM6IA5hk+8OOMc3WhQ4/l1qrqTU8QpWOwgTCy8jyRkSqM0JS7NEPUo4z2DYJ8zZpnF/ut6t4SrVxIXny8MoYkUw9S4QU0vQbP+IBMtEp3nAtqyg5FKgAvT6cAwPJg6AF4pXS/cJSmcuiz3aILrva7XzmtSQUK+p5QmTrjx3YWum+NgXsYNDGu2SoS9RwlSAu5ajYAy5plrIBx5H5kqbS+Jhu8LPg+fL8wwD0yHBNm2BL54JPzBoSZxjrWQKYqzTaKX4xgd3xWgjXE5J+fWlGZH77UtX6lNxUaotcksPvJW8/lMkzEUXHAvXnCgpJPE8GzG+0Yl5ZwDaxQJ6STU0sI0m9ip61bWMaR+x+h30qjcp96XbclUvMd7/VovlEv2qqsA9f7vgoDHfG0sWEJj1n50I6imcpPuTbrutJGGHcviDYoYlI2SBE07tWaIeSRPD6G2keQo4I2EXUu6pEkO74N9bJQmgZqk341N7T41vmk68RC02sFe/RnmAiikEZA4A9WaoxJDkQ4OHvEWgqgUp5YnFR5ANCeJdmu6f/neg0oFwE8/H6s6bJbnzywyzLwULoACebfi8FFzhUWW4yqL4YGaubA9TJVgnzznZZ/0LZEPKcnf1DSZ0xGM4Zy24nCL73sc3rqgLRmb3zXXxImnBCVySVBFkiIRhRuXV1Gp42GRTRg0JUrakBjOMqaBsJYBeKuaDOOax5zz8aer1S9//3711T8+qf7xb56i0XBCHxhQ2pRZySOV/PwO2MyS2fCjT29hzphC6qaqD+199Xff12pejvvShEp7haDMr1AbEqD15TwpQXL/3BL4wVcnqCnCV8Js5ObkDG6JqGj7AHacw7OQPl0jGW3gARe78M6nM2hJ59XLR/1YP80UIekC92CswlHi4O3gWxwomgmxSFVRKlCmJ/56j/AcJTyFcLgGepQoLFwsledcH9dTwQSibGDJKa6VS59MVTPz49VrUiiPsxamYQgGqYBEnxY4sfKRErKeKTLq6FcCrtChxI7mQBxczYDEa38LbjYyRuGfa+C8YoOUe10T1zZsSfUc4/J3702imX/9LomY94uDQ9MBA0R7zXYCZUdIRbTtD8Ix2xnt23tsM5mN9/pyvyWz9Z4Ch3QRlYFIeMOFuUi3uvk2g+FiTMAiag4ks8oxOVb7KHPvY4ttz82x5gLfB8sz9af6SlzI/SbRTWaY9wjforlmKo74aUTSju+8r9Ct3Lt6wkRNTPf9kJA3AdQc0NXvY/sGRy0SiOWghlciRAGoNl09F0yqJKHWM+QQL4M5EJWCOGySqWrr9Wl1ijQSnI6GNZl4GKVbnyYTx6n/sAWGb35kePFxNY2vZoscEc+pxqM5Rpv4jT9qRQUPJbDr12aR0A+qazeJckPCMrJNxFfVVt3c4/1dwu/xVqyufUkuZnIP94n8TDNKrAHPWEFerxCL+kiMQ0KSoIJoRlzq4hghsUKF32fwcZ7A37siQtTD0/BMYe6hotKWkni4dwEfbaDpJxo2Y9rwcPQYRiURV1owhUAgXWND+V5pP8wKIqDtFXNBrE2T47Me2lyVACPVbqOdIA68Jmmjb/8iC79rq1eiM4HVr/7qOTg8Uf2b/+4Pq1/+4efVb37zuPr6b5+QBtWJ12Pw0kz18z+6VX355b3qDhn1ppfa1a/+82+q//xvv6l2N8jnwTrM3KnNaUPb/Sh+2Z5MDnNLlGGTgItHjN056JKpGUVm2Yb7tnAmH2yd4ANP6lHGcw63NW1I4GVRcTXJaPte/tTvMSU9R4qCa3Xu14x0DJhI5E1PLIwiQIk5SawjV3mR+rS/+51aicRZXI0skiOMKHJqgDed29wgU4OImc73GAYePs9KyggqR3jTmPNFn+Np9sIhude1i0cysAbhjcNq2wS/0/Q2PJjk+Xiv9ubaigOuoeNyPZ1LU0twrKNag3Ph/mHm0NzKVzGmXC/7lNGNMuFC1CJAiwM/D4YvHa0l0QOWQy8d23LvyKiLADKKFqllhATonJRgU7r25nzeMSn1ujdSA/GzsJGfKL03x8x3mi6HOdqz47yHdt17/v6KeJNHm1RJMp+H10g7wzFfBZP8McesgJGwcOzJiEZhnsw2GQxtB30KOimiZ8PDN2+B7qovUv6qccF2aFhi00aq0E0ukF51ie+9Rxu1QQoHquV852sBSUJ7sqlKT9h4LRblCE8PbdRLizXxXuKZxyCpduwBduvlezXhtPkjpHRd9yTebrTICzFxVr2mvZt3cSvE12oPNXmajd4nsMf2l78Yqz75bJ7xnVfPXh6wBhj/aUx11tJlNVcq68PA5+j/Giafl2SCk5iHIMb4zGci8TU74TDykDGOEWZ5jgdFi2QsR09pE6n+zE0GQhmhputiVhUP4isypjopoZJo8J/5RcjeErZSpcxhRJjDYxAeOB7L2LjULqJsmZJkSjGq2f5Y1iHWSSQokpPEyORJkaMKYkgFulChHdvS6jjzphpKl/SlwPwM6v7v/vJRaCz/+i/+uPrf/x/+efUHv7xbPfjuZfXom00YoGWvTqpFDnf+9f/uUxjjRfXr//QP1fcvXlfPH9C4m5LxRTUgxiMTk4nGvJrYJXLSh94v+9uD8KeO8mWMUVOXB9NGpQZ+8RpHnBun2IEIJugG5NIJ7xuZnZtWWEt0/Swo+HuwS7V3CPDM7XrPBAxlgDSgN1RojWI3382YDZPTf+MTlOYcv/2qQSlJGlE76toZuVzcpCHpIUgIV9pTQ5EhajMOd1JS8x5LvGFoUzR0eHSKma3Gv5S8Y+MAC9dErxvHJ9w82AwC1QSeAFDLLMwniHpT02rem+8dp3N1XPbVlB69p8AhxtGUdF0z7xVe2V/SD58r7Z8R1Vu7LDUuP7p29GmshHncoy3x1LYa/cQ5DmMMePi7c/Je5+nYZFRe0hbWJ845xG/H65rzvYVlQhu1P74X9qP0NQSnvBIG9kcfthtnPozt6dNB9ZIDKz3K3ro/EKyMqwn3xq3x1vucRxJwv3N8Tdj73rUZbaeM00PMMKFEIsEa8EbC12aVD7tqCdwDGIV4GjxTpAdhoz2QK0wUvJeo6Kqm/7X2bXFUu7FEUPOFZpIBOxK370ghOX9LKak2GUgwX7DA1CIO16mbEO8VEH4TBN56QTvcY9pVPUhaqNDzC7j5EJFpsu02QSpPn+5i80KqRgyWwFFusPri553q9p3V8DHfxe9vV7cxxjMgiiVybo/AILIPwlzcQCQzjIjNPea3DRGIQA2fkdNLZNiI8x9P4SFBGSj80cPmLjLJ/UUcpTHbL1JudCURc6EkPH7PXwsXj0GMPNCMHCMjGKeEp7nF8nQSuyMLsYr83idyJ6H2WTuh/dig3CNDIE6KuZBnm3uP2WTa9CmUHmOZg0hGKlzmfe3WdPXy4aB69ls6pM1/DxF/iQTyEWXqJqCGrv00PvL62W/Txv7+afXf/19/Vb0gHUJIg24AmLTE1M9KrOKCh4nTfO/Y39pNEnjuNznaLCYFXUgth0fdaTI8TlQvYc79l0yLufXIGTKAIBrin6lizezoQbPaltG6Mosg5rwf11Qm8Vhg3OCLWQ4NXlKwIK9ZNQtchK3ZFE8xxc24eZmDsI5Sds6D8YVSwGfPZ0avkJTVeCQoLkUhcJp5JOpG9cqkIhmaBMVlecoM0VLdEwPGr9CjH3IcSjo38H0KWEwiGPQRJDKdQfSd6rXtS8SLthJ/kygkAfT+4OTl8p4i9Q5t/xKhJMLij/cwlmgrpd+8J6VCm8u+Gs2fsT6jxDJ+9l4ZczFVxXcy+RQ+sg37AQZ+HwFNINC5Oen5P5QEGakCFOMYHhb7vYROwPpSqHGctBN7aeRSGw6Psdz3KSHThyauOMsStlyeU/kK4pqX752kf4WV7+3/qonbh/B3XN6f8CtC1RDuTq7QiICJ9/rZ98Foa+J9uZPRz2/PtflNEPCQbBD5rN8XATiUD9HE4WGkYeMCRt9ibdGaH7RdygG1V2uL0g6u14bmFU/OPdxUwgqPFNtgnJtsYITqCFs36VWfcMwuyC8s1pGixijAYP6SKZy+tYvuUwR24ab9IL22T0JSdrN9+ocSLO8bq1683iEL4QFufXVO7mUXSqCPMjA+ay4xiX4SBXOd6Ket1Grq1FCX+RsRgtj2B3unqKL15gzOnUyhEGkX4vx1DfvO3Vq1Py2SRNao7FuKjLqHHeYxLYFPyaOsnYxGojN/D/MB8D4jCVeo/eIQQTAdzA8Hz3C2ZExBDBxLQbLIscF8ZbaajsQFCbAulQYcabboYm560e1Xtz6dqnqYtbSFn0lUWcsf/mGv+uGv6dSNL8x4hU98c/MlgtN2zj9MNYxZZLTfkCiZmxJlE9nDD52xqi1pZlM6uoZ9ePkGGhSq2YWwgeFrJ440BWxQg4+cHokTKfoMUyPoIk5VXb+CtdOYtRbvTlRPiNodx0Y1x4n07mPs4Ejwax9PRuk4Q5NNbxA+2ty/vDJZ9b4nbzyw1fOjDVMTn8fO0JHQ4II5NzZqBPEocSsTMDfNIeHVAg7ru+6BqXsjA30cf+Tz4Tv7UAFU4zC6VeEk8uwUvJwid8wZB+3nuwXQiau5qd3jFH/QfXDgPf+f9t602bLjOtPbd57HqlsjgCqABEGKEilTMrvVrfCgCPsnuCMc/uLf5w/+aLcjutv9xXJIMptkkwQxFVDzcOd5vtfP82bmwalbVUCVQMhiGBs8rHv22TuHlSvfNeTKlYJj+zSAERgaWEiXyqO9REvOap9RMMGX6VsjoPU1DdMxa2VX+ja/c7RrecW5TrSAfHaeY7XqVcuJu0a+l1fsY79gEZ+0CqhjFC1v5qcT3SZhwkPkORpCiO9x7m0CXBR2Cla1dDXaakE1YHS3cM/tqOUD7190RUaRFdjtD22Iti7fUt4Y9TleO24c8/dGx0Z76eHf87VuhUkVTq9cYLXPAr3j0KyK/r5LJstoNLFO57bvVAF6ipbQO0genv0yn9BFAPuS7Bf/qhp4bUSkbxWLajtUvvuAdggUaouCOo1Vw5hhYu7wXRA39EzGneK5KXzGwUIV6CpRx4hUWboxjOZMmthlcpc4IDg4jQN3O7uTQoA+Rq09ZrvgEAmXZj9AEMyPEjkxDDijCaNhLqKpXr48wmLSSbeyvs8CKVv0aa4AHtcD9Q2hnRmymAOwKx1at6zDhUqBisivAPMszOIKszvsFVSGQ1rWLgejqjXFNLRDgpb/WpdMKZ9UKX7EgEcLkfEoexABKNMfsdV+BoGllkoCxRdSyGqVatodAfJb93lX4VCvEXwU46z87owxCDK2wjDqShEyRnDsUq+bRAQkztHN2Fwif7kHTyyjDaY9MNqz+zhxGKvEZNPOALVMZH8Yu3ynn3En0F413qShbUzHczF/7aPATTmuJZiu1hw1+hUT49/HXZY5LKgpfJj8LiQOMS6jWCQnLCIdCQZaZ/CC0UT6pC3L2O+5GzyLgA7/ME7ylxutrGMSrfuIvOAukM8Zzgh9hlnsPESYanpe+2C0W+XQBOs9hzkmJ9jy7zmlbfLQJqOKVEBGyNueyBKB+sKcsT0KEgWTykEWHRmr2XcK2VxklJ8CWNVqGoeXpbMmfjarWa48xNhLG90sB6QzNq1B72p8aqHQfPTKULf4wSSW7lF3eIebfTyRd3zuoobb7reyAKuhhOrQP3ggO1cbuAgoTVO13fKU4Ns0SelQn80BKNTvyVYvuFCs03KbhmmZlT97fcvE4zbzxZw3AtT4JYTpp3RgCsFJBE9sf/mK933ciDKViByKjrWWE7Kwso5NcQy95XEVhouXSqjzLJ6Bytehk21U+OguaBaH/wrwjbbU6TjFqmbuhM9bv16sKvn3465iXHuLxM4X6XZBgPUWon2nCVpp3RMelUi92XNBm3hJ/f23AuAlkRXlY4dkI0+4jf5yL+GDdpSOHdAINRIOwokpajy3pq9heCLiBB/pdEhu0lmlP4Ny5dYwIDyEFuQRZ+TWRqsdd0D52SRV51C+JNGS2lRMucOoiprQS0vTaPcHyfFxHY1sB7/6MTN3B3/m9IRAQBUQW+BRKEiXRbRzrYTnLtqk9u1Cl75SN9+E1yrDOdl139jXpMtVwHAv0TBNOksTmV9goo2CgINgnK9+NQcfI6JbfM9XzCg33K0iYSev8Qr39ff2M7jFZQETuqrRaRq6CJd4XK5DFmEPOcW7twgWiVHKyMnqto0rYKKbQQsIphwZQfDw7K3b49ktuoz/O2dT8mB2C9LudFvmg8aa97okxm5RFoQ03FIN/bkQL18Q8OnHAn71UxDKWH13wmbNQrDsQ+9sWGJSTAKww2jb6/jB5wC+DReWcWksXT7uLr/ngnTRbnXPOXZq68MA/Qmbv/Y3WfNA8FuOtENZTr+GEQJ7gME0wtwkXq59TC5yD2F2SB7xybmTbNgaQDs/ZSaPoG24ccst/bKXwlfXhZrxCf01RUF/TgrngTwt6F1CCzY0VstFC8qdqQrO5M+RF+w7ZeV0HQSaVkdoouBxjJxDfASVEZhDTd8cGC9c3uK9Ia2qtwYQ5gfMIdyHCOOjbTQzwdH62iWxGlg0ABZ0vLg/oALh4jF+JvNVH21QQb8gEDPqdOtpo85htcm+57INXaAiuVjPt97feNvkfKXvEbjU08OvKghUPAaYAO7IXft4t5u+TTQTPHTwkIrke+u17bRHQT10nWagNCayi98SLOCuZ8rrbXu3koZ7tT3yX9ZlxDHupb18H8CldQzPnJKeWvfOMPsXOrHDtleci4LkfPCeQtmrWkz93fVv6TqAoD4Di061IqtS1Naoev7upgBJZ/rQW5C1XX3WUyzr/F+RvmWhuF8KXGzB898D4JGSOAUzsUGiaCNUcqoEljlpxBjSzUaYLlWJKgHcITnFM/qTrnBog26TzbUTQgVJBTuXrCq4OoYBhYHu/r09gNadeUUzUBPTtSKwmOvZxSCJ58aM85Hj7kc/nwJ4jrqHvLeEVj81MUyUigtE+NkZaH27btpJGldBgHfdaGT3BbR+N0r4FX5J6B99SHx3nx/NwVYgTTJhs7BBH6ep8wTNTY1A32XCk1SGmRCGUQom+v6td5/ffV9ftO6n6avn3fpTsv9RnhNYv+xzGp5MRlnJRkc5Cj2ZT79r0vJK+wghfuS3Hq/auYvaVzWD92m3n+uYpn/1l7Pdu+++082QFOa3v7/Tfcgi5edUuMdE0V8dkGHyTF9johM5MYkkHpk8JWKIZ55RCX0WtMYRPkfQS6GnRjqCgL7y9ijAy0lIaEQ7G7QH0HVH5cWwTQVB8qiDWgL05SX839SlsD40qRn9UGiq3JnTxfdZ782JO/LhITtBF3CnDQ+zpqGFxlhPkZL3wMVPoiKuXRtjnA+7RyRBkx8S3gkfuvC6ME9mS1xw0pJT3AKkxsNnN7E0p23j/GFdhqn2X/Kjmr4bv0xVsL1SrA0jrgzTdBE/G9nsnyDdAI8xc39Esiaq2TpozJMk++c590IIQgkPbFekFn2mXWr40mn7Pq47xlH3xTBCT8HsAl7KkzBNA28gzrgk8sQyBcL0DxpxMIpzd8iFMmnQzzc+LHjK05bDJ+PXNOiGH7bV/li3WNB/tfbAp1l0hMZjCyNRBvdXjnpWjZboCbn3Bxg7LZOdj4+7cQTTsPPLOV+tOtuaeGsEZDBHbdumAZBHCN+2kU16u2Y1xBx8wV+fF/hIL5HNv533TQkVuydHuulbpF7+eJ/QaCc+xSikHFPGr7dHw7KcW5Yl7ep4djcRUvydQAl4v2fNSCvGLAPh89bdWMuyq2u0H5stciCLw/kr/zmAZQb499dfBcB9HOAexO4d4tMGW/DK5gq1CD45XV1hATDFXUE9+qLLDjtiuVFHb6P5jRNgvUnGqUu4O9z+/tnv9wBlNEOZlXI0PdWI1RgnJzGnlWSCI/fdPffOXwxzIHLXfcKBvIsApibcY3zBLoiZm2LmZonr1oUTjUOLAILpttnVH2mb+/qeQ4i1HChzw0lGvdXC/NLs5xnjwu3JFNr+DBpehBQMfOKhwlKKtugT9GSg+IGpR5+/g7P4PfrF/S1yvhhuRjBC/O7btFGwf244+J6TcGiH2+Ud61g7TkaY11DG5kdPBjvrtp+OgX/LLPTVbeN+VxNIaCO+vrfemuwW5sa6OVYwr8wudRM/Gu3GyCBGTE/3lDUGNVmCNrs5wi6X7+5lJ+uVn5kWl0ifx3SOehQ6nGSWBcSEAOo2ghcmsG5W8VseoAHHZ1knejYq9V/0z3EeJupFd8lb+KwPUKPP1fBxf7gpygVWBakKQc4NpU+mXp3DgplkQh1T+G7NG6GVI1ieoZkfQ6NZ+u2u3e0NgMFhAPAUSolCUghQ7yybfNTwj0FA3XuzALi/OyZmj9RvMwxPHsbP8WXj7Tvh5Umx4LqOYK1gGEXrclE20TSCt+NUJ2Wik+yDY+XcExAER4HDfwV+edzf+pUr+uRGHwV93HD0oyUFs0nHbkrznu/IJK2dMqk0sb/zWLbSyXuMUeQRvJ5wWGh74o32Lm2O7xg+jctAJUGw8R40yT0FUpSHWqffm3Zv/Q2U2r/yH7/Lg0NMvKkbI90wSswxbVJZm8QlpOt1nLNqjcbaVwDzm0EFHQL9ROtAQQcYni/Xuphnbd+D4bLPbXaiLNeLTDEhn1x0fUXQbNT37Ru0GINfnFvuLt5dOcYNNsmGxONuH8A4Bw/irkEJkZsylxy/qmBlrlmO5fJJbh/HXbo4nk0DlzYCeBPQvuPf3teCamPQN/5lOJWcErPFn6j29hO6jsUr/ikAbhl8zrL0LjOIJrXyyhs5vd3JTCeyOYTGzsF4uzCZGrfqyb6HJMABlxmAHfzUQ8T2rqHVHaImu5FH0Df6w8VItRsB2O3rC+TckCCPePbGbdrB5H3yCAnJ5L/MRPz8c7Q4hIRZBnUD6F5Zf0hbKEMAtK1OquXHxa0zA1H7Q4qKfCsTsaBl0dL1g/Y7bqXjKIyxxyBuEZO+gEZxTttHL3EWIwVsU76aY7aI89mjPIXDHNqAscee8elGDY/OmhTsodcODCJ4+H7j+Vg8fM+5fk42yjzWDKU92UEnY1TtIYcLC+wy7ALlCarQwH4ufW+UWGNCI7Mdtetu3BzrTgGmX360DoBtxX8/CGLNTk90by/Z2aNulfK3cHGd3TnJwusYZvvaA1L3ku7A9gUoadcE0nmOcymfktddl1R2l9KObbSmSTTjsRucTYmJntNxGg9WJgs70v5Z1jxU/7aZpE8ZLzcyaTlJp6QmcOIIbpQv4GvdePTYPhqXdN0xb7tavIAiaC6iBPDcCULAxVNPR0pElAAKzVxwT0QOP+qaM/GX7zFN0dqL9uxC7zmf3UjnFwFA3tKF5m5hXTEz7xarTGXNPkWYaiU6OTX//Uh+J6YAKhjy+zime7RFhJJtUzDnHE+BwH/5zVh1LaF9+hFB6RA57pSp1p0j+nzWy78bA8kfaoe+IoC6sUJrET7z+SFdFhyxd/SEl1zc0dqkPqMxEsoILaJ8Qe/kLqKsHMbiJGkAFN9xrd8+XsSU/u/SJMKOsSZETzeVVnqHhbOPAFX7nrs8ylrXePfgsYgMSBnWqpZjfxUQ9H8Ezdx3zmCKlg4jAtE2tvkjH8Czp7TJuZhwwjBupY/AWmkT4PR5cEoLWU3cXPMrn26VsEK0uEFSIas0ymfumh4+xt+OFRpXRitXNpZXmds5vMZXxRLHRtoU/C1j1D79gk5aer/RNiNHGQ6wbrw6f3r4UH9/nX8KgHtRSKJRlNh+lEBKZaWcoKHWBJjOfG+IE9o5r9DoBzpxij1x89YUx5jtd8vEaC9eYsER9JyCQHvEFJsmdhzGkVGMDFCjVPsu3gF2W86N5qi03R1yfwOEhnSZ72OPlrlZaBsfYBY4GRhDFd3JaTs5jCc5RqbQxvf4W4bXh2pmwIu5p2v3svhhrpJ9wPYE5tUKkrb9V+Ldqc8FtTXCCK//Kb5UQHLL+HEnKn0wjMlYYhdNdKMIYnsr+Gv5bZ6wR1LAREsXjAUEJ8tzm3eg9YzWCON3yN/r0ZSqmS2AUHcOVqXsadYO1CA2CZXTjJeBRqjXMVm5i8+X/mhuu1C2uXmIwDyIsJu7dK/76Qdvk8J3ndj3ZcaJMVFO0uFRZsX07Hg3yq7UgZHD7jFWwxY+wvjDod8oHHWFzTvjAODu2nF3JA/Qrj34YYK/J/AjGkU0QgfGmfWjmBi9VKqVmGqqg9xfBvBXtWB4XzeItHChch2FYJK6BNQwMzwRYIEOCtc1fpeeClQFtICpi2FxER8qhR+zKqnrxHnj5HIjmZj8jPcMVdxhl+k82qnRTbpVdKG5YUrh1BJsNeHTP/7Z4CUPKGSo9zLJw2Zm0ebZLZxdwmj1VWEqE1ggFAy4shMQMEh74d2WgVGgVquPIiHgKAgEU55ph/C6YBdfrFNDIe6EF4z6gaA1tP6WDVowbFNWWqSSmvwoGSvPAFQ12ERn8GnncKpk5ABu6k/qZ+ioljtI/1QU4v7i32Hi548Zu144ncTuR5mmZTqJBDIxA5rk1C6+ZzOV5WNB70weYBVyQ+2cQZhgV6/rAh4WHo0ffpriLIB9Fv7dCKhVolsjAqYJPesTsaQfbXlB+7Zt0sxnxBjHQWF8hx/oqwDs7x6naD6lnOF7XZcom//ArjMUtwkO1B7Q52+bHFf7xTvxyXNPF1jG3zGwPfKAA2udfve+3/strQx8G7wv/33OchXEX/LMi289fycAngYJqCazatLEHwARJVVLO7r0J/hKId7q79HKqEzz/RahW4OYogdoRZlQulR4xoXGI2bUMGbUAIWa+W+CgdigzISeUfwtwg1Jz8HJ9UfdBtvNZwAmjrkMIG5CmOv8ppBQwbQNTn6jCdSQkghI7RVCOekFAAHV8sxG+xzBZDwuc1+7OKXWqxaNmzWTyLa0y+7bD32zpzCXG0B2eG8MOqj1en9EjZl6r6BluXi6gmb+zo+Gu2tvD3ZPnzETuCcIW4+aay9rXyEzm4MGup/cYM0Bwn+OsDKqh7DsbBW+/KekFqDeY2g1c0vwMHKmJH9XoKnJJzeKsdBowOv3CiC5q3FTjYsKJq513e8/34SnSFp/fw+a4d5SU5MsvH8Ff/QY0RmfE6liPPU4lpKLzB5QYT7zWyS8nyTN7ye/Ryjfp17Gbp9uXbuFGQxtj3luDmDbc7FRUKY/LYdao2PGkHwmWinZNMO4JAe44ATBTb1gKk81KAW4rp0paOWioUCcA6Z51HUWgTthjpZJHy9fGY4b6FiTDsCcZmzcHPQUbdeNPEaO2C59wcbix+VFnYKWwjluELVonr04Z+S1bJm3X5Q7DD+7w1W/p4d0BMwaYFFugA4gzeIZ7bNPLlpqVWhR+azrDoYtyleuG+jXNmQy2Qi1HuRjwQW+SaetQ55VK+8HTInbGkwZk6wz6V48juVM/WqclmXUzZPjbphxU6AY6ps+w2PuPp2Ab+U52xLw55n4mKFRkohZB/dzJKBAXBWQ52hVMaONd04gcqx9SG2ff6eJINuDwc7Ah21CZHcciFrePhb6JfYnuHFsH01cBW2P9TMBXZroBs0ajONIuW4AS3incxsap6+AfO+yPQ04Gx397n1B1n5Wqyf3fEaaAOQuZqc79HP/cyoWEOhPL2ZbJcOxQmkrpnxpQy4RVJD3nYozPUDJhKvPXxxH36VDoVdte3LBXoxp7eviy/7saeBlM49+ylopE0jGzIG6DPoYE/x8mEXF31MbjKipm9hmKPOEBRPNXqNRzO8dMKrmwiEMphY1zQAIxk5Ozei56aHu6vVxNp4c4FctAKVZbSZAT9kRsJ38ausulOpu0I/NGcYx/dVEpxhgNbOE41G+2923+e0Fpud3nxN8oyXwb8wWJxx1qcX2rkrMcZhDbW0PTc7xElzHmcjzPkvf9b9dnmcS0O75D2R+0lSuEpv+0EFBkvOcGmZOj+kr3rZOoJnOsDliAnfHIIsqvyVc7IADl8cpz12JOcFea0HQEwz0/cM8alaaeXPQ8xLa84N7+pTLIqKRD6OAqtqTKQMsZx+TYdZ+0IFVxuQZ45gFTHzZj9f2uicsAKqZXUWYzPCcaVt3eeb4CnH4CC5569otxsMxwM01OTvc3WOBSiB0p6151YfhQLfCH/bZh9JWLdpF1Sm2YBvfr6YniIzTVsGz0d1x8Vl5PVE5FWC1cnSH7EP3Q7V56BmfOZE5bovUnZOFYNpmzm1dMW4iE6x0swWgeSYHV3B/j/7rYjECyqgWQfmFSAPK8JAQl3TkJcfwhAmxjoA2P4lWTywwBSZlqGnafnHWUFitCQWVp1ElakJW4d4VQmidmPtoxMloSdln8qnl8bx9FfwDSham1eFzWH4vyww9YCAAhY8QJz+Ahjw0hYDmu75+eUfLPLuNFTCUI+9KF0FV5UoFSBplU5J0qHNewaIlGEtAJQceco9ETmG/eKVzlYZaLdVdIYjlVCrmsRFDCrMxU2UQ+bEJHQ2GmMai2UIpWX90GKGmZZN24lZxc5hl+J7CXlCN60IaWYfVcshEIn2c0A3BGhA6WQVs6NrTkiuwJgILOidAoPZTHjgmZDgHTSuABHY1fsY5WrzjAe/k+QbINkKaOU7Wb33WO8dHWjWtvEk86y8y9vlL5oRRSkZCP5VpXqauv+R1b6X71pPdUcmP6ne0jiV+hAj7DyEYBLz8fRaikKbnJoqSeemYCwM75kKZGS7J5+GcDSZtQIXOGD8r6Lp5Rr+n77hQ6Bb7azfZXIIP4ynEm+Eg1zVUWrVNG+OGoAXqXnlSJPHVmwAQf28zMXLmJO97EHHMejUlvk/KoKhBEzD3PibSxUMG7KPxxhgKATElqBECU5hMc5huG+Th6F3QQHdLJiovqq0YIukmGXdLSnfzk3v/CqC5AjMqxR8/ADTR1hOpAlDEhKsCoZXtxBdoXNDbRzNOKCZgqTmpVnsKjXU/CQK7TE41eMsRlAU0y3Vy3v3QHbMID8ZpntCmmWnyd8+zwj43neidATSbUdDlCJCVRuyHigC48tYYC5Tj3Z3PmCnyj4Jy8wQXGOWqPdK+9Q3i13HbjBLSN8nE2+b+JXyFa08oz4RQvGOoncw/NWeIV+Gbfr4Lb9JPJ7HjvwVdvBLFwUef4wTarZrrbvV1x33BMwKh46WwT951xkuzP3nImcQ7uDPUYLM+p6akdQFNskXf/tC2ZLMU8HnXOuW7ttZj27SO7Ht/agO7MOEJNEigdQihH9woJ/vqhi+BSfrnpCJ4J4tdvJPTdNTQGCf53UMz0lfeE9AnJ+Ev3Dhbd0u/pZvYY1SGAjkZJtsEV0Plt0Hace2HM+S2P2SjUlX3KugsMIYDKEpnVNgyNTa3jm1Migb45xjtMiFszJlsOpInKSNRTgKTxLZu2+TfgrX8Zp8oI0pOFYYvuCsaYJbHn/PV634gYpTd2Kx9EaN/jGIzBG8PE8MvfebQQAY5nHUVK+H4Hu8KcKZP4J20RwHCvawZ8D3Kl8Be2xhXkP1qGm9rQ/+/9rcBKO8lAolPaOKgOUaWZxnW57sN9Gs9vbNnxQrmmUCeBdUm9CpP9RY6FQxevu/VaNTGNkD75e/irEuX/ftcvfMmVwA8jTfEj1Ey1M+QJplxH9A0NG+OnXy7hI0d8pFBZOCc6EJdmpYHOIa26lZ2G+g27pjHlG6WvwlWoNW4nzFg7k7UlbKCJvf0EX5KNHs332iqLhH98QxNVC3c1K57TPpZgNqB9DgwJ6+akz51tSP9pEafzBAP7Mr2IUC6g3arq02MTr/qlQVKB81+UXYEFX1bJFXtGKtTa5gM+mwv+hzFJkF0gTblNHnaYP92+Vfw3cnu0QJ8O0zyGQb6RM2ZCWIcaz+o2QatlCXq1Q03ge9gg9129umdPwEw8dl+/kUxx81YJ0htPeA5ImLs8wm0W+W7u2QF9B/96Wh2Gbp7NflBiBM8Zs+3G53m0XpGQD4nOU4uBNtg95ObE93la7PdRx+toU3zO66TRO6wI9ay03lotI3z12yBcc1Q7jvfH+bAZ6JCMIMZSqyQARJJ8Y5aHs/Hcnu+qwHGhNlpEUgnAZPyJLGbmgzNywYiFuCOORzaBba40ACeEVacbhC5ssFayybtz0EUgg6gmfwzAKNa5Sg+WlO3yoszCK9ny0dJlzAdjY+MgF8AcIwVLs1oVouETRp1EwuM9mT3pGPUxyh7jOfMEi4adsJuPCYxWzOVaau8IPh5z34ZDeW1LShwZY/BFZ7jNwE9+U6o17BLNzElgRbtTkZN6OoBxsYoq91H8+sD8REEpnNvkmyQ2+vE8mvB8F2rYx+zTkvhlMXoJPHyVbVFBZiCxVntTbGggkYA2e8CpHxchzt1Nt1FOglCTh7ak5wvFydS6Wq5GlD13/O2yoJuKPzdnt26As09dCQx8Yz7ATmZtSziJqPNur1S1mpfufxdkoXxjOBN/9NmlR+ktFjg789drU8vaVt+sm8KiebuqOAdrdk62nxtwAufRsuGRkNocsNvEQL7kLa3cXLMfLfxj2PQyu5vi8808LZ+L3kfs6tnYTVhc6FLX/e1GSBlCipx+UtA8ocTTaG31UDMVcG2Z+/BvFMwqXlNWtzoGhMwCbVsvBqWGiMTLRs01GBxXus+2QRgdQv4WV0ljpgyxtDoB3nhCuAdC4JKXLR0g47JhmSg5EuRMR1nGiZwysBvEQo3gitCH+wXaPKGM44z4C5wqnH1Vqiln2XTxQOAMZsP6Nsg8cQL+ES++E/b3S4aUpuQzyG//eKVjY2SBMt8CgoY+2AuFX3DV9BW9wHAyavF+oi7x4HvuxxPAcsdk8u0j0NBuj99v0xqY2i30ex3cA8kDh4BM8+C8Tkq4ggarsO8yQSwzGnA8wffH+HwYjZHLYzxPDv2mLVnqG27AO85B2Lql087HFI+Y5g8C2QTO4W4xHF03/v+POBPoi0qPztmtycLxb/59ZPui1/Lxfqih3F70Wu0pIRWAd4jCNlZQG0Ft8uK+T/Eemg9xqB59unFK2MFL6hETbE1fBD+MVPfIQtULj471q57RGjCL9LV8NT4qbHGJkB99yEMvY9v+6mqbalB3syxetB4nHePAdwByp+e5XmQ48Fd/Pi4gM5Qca1/lHJdHHdtRXfPEEyQzUNOPpUMymutVwgak64vdow4ZfO/Sz8Fvm4OhYb8nwgGLUneVbjk9DYnNf/Kpy4OJrKIuvUjbwpW8pEam3RxotttQtKy27Rqmpn8aoNatwzFNvGO44biXadd1uGY8vs+4+WCtia+5Udnq8DRXHZx1aiIWb6WTNX8s+GoaYq+50A1UPHvBubOFwUWdcTKuQgw8hb3DC+Nu6rPgE0iM4B5Cy1lyL4KJipg3NdNesBOWZ/3o5KiuylNoD7HV1eOLqbEZkdBqPU3EPS7glWa2+929f/edzt/WlYrR2HhdwtmTIZQInPQNBjQooDy23qpPy5jsMUD0c9RNCJoLKN9egxU65DWts1PEwo+W3kkgjFCoqB8eV132Ztp3771pQZuUc5ZqGngPPMajZj8BXP4Nw2lY+CdNB5EnB2RDJogmZ2X1YcV3yMAuei2ed5bw/zLOhOhaIK6fr5svcddMA5wE6WWmFx9uhP481YAdZ8TxFrcpMejWbeadvKxzJdJ4/dJ/KvJJqhfhGeSFVHmh1jJWWE5fZdaikx36VYBuGtv426AWVaJNjFsyegUtR6B9oULKqtBuCHDDTH67pzUl5jMAqwmcYu+BPdinbhQ14s+oU0CNV6T7hEa2xJM07nrkAUnNZFd6OCCvDvaXG+4DkgvLxPrDMidU4ea582bg90NwsOGEYgjqLeGyx0B4MeMj/XLhPbLdLJqdQFZypYWkzOTuCQG+a4+XtBgbXWT54kCYtZss8Xby81VumQE8UHS8q6zI9KFpZ//7FK3snHcrT8jPBFtKHlvNopP0x2KMmH/HM+iHnQ4wak6tzTaHS6R+pX/bGd7PtotYKKrSu17nMqPMLlnSSn79ClRJqwkLRLKuaWkhJ7nOnEFFXz4OZRDmu3iApsjtSypFeaJbJieOUXLlv6AB88IBttMRMFiD0DxaLuEgjlXBLMLssffjtEYT6jDReM5tHwzUm4uy8C8Q51qmF6blGHUhub5gLwPPXapSwHvus9jvrddsyoeaTPzSkUg7r9n8BO7TRMqCTCoVR4b9odyoT/bKCjdMfGn09ZEa9h+rbsGjPI0/JGDLnQtRMsq/crCYhsUf7PdF4G4n9ELnhRwlNQKOTGhaZn971aAT6pk5oRBAS3PiH1O4ijBV83f+aQ1VwVOA3RB1P0lRlWZJ8n0DrFybUMF/eyQdB5zf5CxSLuMe7fMl/Wl3W/jGqDkI3hKAy9B1eeaq4R5P+gOTVIr9CwTn1Xg1nJMK3Cq2aygUjmTJgoBvwvyttE6vN+sHMfC3/wuTaG/wnDm1kS3+xAhFlOwfupAXWDH2uBX/xMAl0H0xZisJq4RpI1ugxGoOUjE/BAi3EiBQxB4Hy1aP68EwEKKm+TSEjvm+G8FyaoPcgoTVvrMAVCekO5pJTmGjDLG0CgEKzfUuODmZh4ntTG/648ojw6rOSQhE4MnPVwA3eZv43JNIaokn/we5ZAjRX/npAn78Sm7UCVjX7lRxsZ0v/2+O4mTBPy4HN7/wWxys/zi79fY2IOGSduG4LZJNE9PXXcDRMtp3shnWWo21qn1oOtDrVitwsgXBcc1LAkBfBONvR8cNF91OTxFk3YeLQDEm9DZ6At3iDr2xs+P4fucnWRNAQfwHow6SV4QMzLKIIP4AvaQAEOo+PMcsKBufoYEnZkjcyJnV9quZ2gHhNtm05KpbA8ws5fXMP0I37FfgywArj3ZZhGSRVc0aUPgFq8Z8sk4vj3cXX2P04/wp58jDVzfcPyyUEd/375yuftseqdbwU+v4BQE1/TfU9fFkChBSktADfv+HbbSXwaUP6OfzhEm90nVRp2ol2+XheQ9mMeoJfcFLKN1j43v4xYpAnubfl2+jrsLgI8rB7BX4N0ka+Q4Y6Z77hnSfwbNeYW1Axdj5ROFo2suSYOsVkq7jUiJ71iitwle52rAxknHeOqqGrw9jLUy1/3mHzbh46pmOoCUG78sfKnfOBnyADLnoznwY0222Vg1NYW60RSnzJ+4mBjvKWKfDdVzsTQRGs5H7qvt6/+/ND3SXb02150C9CvkYl9+YOrkegmSlBlPRgWTJHESOPktueVtV7VeUvgFpeY5a7MfJ6ykCqrU9zKwtI/yh+3wd2nX3uF+orB0kci+WgGCL3M0Oy0FN8eBxkuPbG3necN3e4uAVtwA3fGJm6/vutim9rNlO7ZeIlzTfv1uG7UopIOgyu+myz3VxEGQpB+MX6JUbKfP+GlKZQN9eUSh6rPW57MoNj1rpgkN2+GzrW16BrBkB5mbbkw8TwA+/g8YZwBivMmBxq17KVz+GdRfQXjJOFra9bdn0ZTOu4ef7jMZ8NOSxD/b0ZlQbdHDkDL9V+/9eA7ikjd75bCbJfRtbIYFIOK6JfgUTt8pQtZ2ye1g8S6MrnEajm6OJK6pWrzJqowO0HceKcyAChBqN5q1Loqqwbs1OodKCAL4T92Sn2gSBt6dkB7suw2xnVxuHupd9NEJPIMvXvAbx/WysbYBAJ92C5iobuc/YjPLKDN4iyx+7o1wa31/noyUpcDkt6Zh6t5x5d6di9cAQs1qJ/4wgCdTNgESAOeesc5L7yHcLpEXBmHoujFLC0XLUcDTwT0kgIdmHPIx6VN2nlHHIVrhs4fUAR1npnEzENh95foYmvpJR1LGCHrrVAtfhpm0RnZZQNohF8nwOBUrLNH+n1sRN+yTW0vfF3ABRerbR9N2IXQLTTQLggpc4mT/FYc8aEL87//+freJ1u/EdHF54WZl/Mak/ksbjfhww5ZCBOU/4y0Ncqo8Y6aZrdaoxaC2rmBfJK+JK9fnzHZDz7TGPCzbPm1vsNbCZDe8T7/2/jZrNgC2O1CnMeeOCJlIUjI+cbnBa+biMYJn9SlrHEycLrtWETrwXTZ29WFCwFONmjYnFpsbz9gBPLu0x9oBx7xRd3KM+56T2okrENM2453lb2Py9wROlSLnVeUZB8c4dH3k8rWpdJ0LAyRuU+nJyTyUkzDe2iY3kv3rH97q/vLP/xwBOcNC80H30Sf3un//H/8OgcYGGbVa62AutSuvygj+4cD6sc0Ijlz+VnmtRWK9EsTrKxHOfYLuy9rKXy8couBNnlcLR69AuOFmc3OW4OlHunlJN4GyatsJC4TFOmjTc3k0ILZLVTjkXf/2t6ig9bKN/WDtbZ+xPvvs39KlgbLPSg8B3XnNGI6w2GpWUXOdRGP3HevymaZxw7d5r2nfPtP61oC+tUleaVq78Eqdax7czqAPqllglg+QkOc8p9HTBvj+QnaHvg6++Ge6n0GX23jTRa8lVtnef28OXj/s3n2HeFtU7QHU5yfYhI8nnnZbaHGGe3kJZI/u7WRHpouH5kQx0+AuSLx0c6774IfvdHcePuh+88v1LOAcmSFNZuU9T5R3480WboINADxZ7dTUYTZTpWZRhs4Pw0GjjMIWccX6no3nHgK4hylLTdBwQwFijkWqUfzRhv5pwkbLqX22j7pG9JOvImj2cLJPAYiGKc4hec3sd7IF2CEFXejKxcv6+zO4jU4XaCgAyx9Gjbhj70Tfa9Ua+rV/AcudiFduA1IsSvqI2mbCtqB7jpyjL5O4klwr2MVqSUY7JLyhX/GNOinUVmCsx9ic198za1/XffgrABe6CT4mPlqFP0q+DmqpEzkJl/o1k9q/A7VVaO1RbOts2lF7VCtauqp7gof42/zrq+vb3b/9d78mVcJ09/N/Od39/f+9jQBEc6RMY/P1hfZhYcpwwdaVf10E9j+bROyuQpp/L78N3VAI1PJdjNNKW2Bhbxv6u49Ad47C64QytJw2v6Bf1CUAHkHnaQTv5jYbtNk952Ybsw4GnGmL8e1OQPPbqxQIFtus1bgTb4jwPBdABwwDea7RBYxizfphdpwwkT/9NQCOJTT3blk4z8RuE1UFShByjLxHH3OgMO1WOUlUh7tc1bYAAhWNuOl4LwIWnkmcux/BmE+2z8PnM/O4hCbYir65yxrGXHeVgXjnv32rm5ka6f72b3/DpiojwiwXdyUneZgbX6vthcVFAWiDD/X2wNJxUYGiL0mWJb3aVQWTX108N/Tzuat/Ul34qfe10lU32TAWUnhAULRsaFMWtPrq9b79lg4I7NDTdv0hrubaEO2khXX090ELgivreIYo0q4ztZP+NvqMY2lZCndBXHBWMPh3Exxtjtn/RlP5wo+aOLyhhyOuQ7AqUSg+S12N71rTXqfrAXAXMI9xZrlo5jb2wTgIKRAfx82bN1l4u9YtcG6aeZw/fvSr7v/4D/+RLbHkV6ZR+r/XSJpxixVafZA7iNytDbRRNMMPPrgUM//O74j1/rB0Xg1Jf6C+5LY9XeBLngk7DIFHKNfc40YkmBngndtj3cPP0ODV1ChDv6sgeKjbRYDjnozvlnZDycxP7kLiJhpsu7IJwEn8FDOF+v/k5xIOHzplOAZ7y273dbFpJO6cE1bKEs4FyOpacpKZ4OmiKdlAOjG0DpJMYKUXRsExcku9QuQ+8dvGiM8DVtO4K9aJo9es12fpvyNUZDKwByDPAa6Y5lPLKesKAp6bxVVzla3zd393hMZMuynPPp9gEQyjkeqqOuIQDDV/zbWFG0MAGLsqK0HccKUJ51qCC6JbCL0xFtXssyFnWgr+PcM4mcp1iHzbD57tcHrPVvfDn4x3P/2Lqe4//xJ3DNZKFvZkzh6xi/DUpTWxaLSFlkDZxOWRZ2qfrnUY453FZPq1yz0XoD1DdZNxt17jhgPgNFpwN8xymnSku6wabnB0n7HqY/i8HZcdNOxRAE2hIz+ZZ1ztbvVhCcs09e0eE8eTdcb0pcriF8FbLZk2NTM4fXJcEZrj5M843OGcS3YWR5OUVwVoaN72FWTzi+CkG8Pxp49uI7/yJzPdLhu8djnK65SHj6swFTyT3KppzNYnKFTNcPnzo+7/OeEEpT/Drcb20gGIdsI4/eSH73Xfe2ep++LOF906p3jMEl+6j+RZxa+3srrfPeGEqnWivBKe2C7rEYSaS0Hr2XvSoQG29UezKG1334ML802w9MqSJbXM+jVif2yCr18YcNvoNQV5iYyodbTnHYNmzQiO/k29vZN5/N7/bP2q4vLCocaW1aexRwg4uaWDjN80//5nGh/4Lp9D1nyeW0vsE2a579g6xn608P3up2nh/gu/9Pz4lutzKlQKeoWTbfKdnlrYz4i1g6/5TwA8vOaBDozeECC9srzenX34mJX9KQD8HRbMaDnIaX7BE7L8nLC4ZTy2PjbBs2OQD5kca2hk42jG+r6NPLj7xUr3u1/ud08/kbNLp3JqBhOKk74QFGh/1awxvjI5FJR+/O1zLni+c5tQNyS35nToTxmCfRLMc8OMdvo31f71txrWN0cyJ2ObTVHbADaLOjx/CdD0DE7jxh99QXsZZLMJmnr1Em6iNYBgxOO9BFKk8SQPrK8DsPQrByDbj6qO9y92pp6vEJ3+pE9ed5D5K4pbgNhgIk9cC2iH7G7C7G493sUq8ZQdGUNg11WWzST0UxfSKCD9lORTxmY37dyDlCXStR+wQ49DMB8b8iQgoHWus8NMwZ/YZfpgOlY3awxJR5DaZEuGB2qhmCjIyakGrYUlgO7TppVnJV/Kh7896P765ze7//InE91/+HfLWaSqJOmxnXNHH/gq4xiLhEk5Cng7ppk/3BNsDUtMQjDuu/v00QOFcxEa5pdRE82mGv41Vnj7CeGmt9mTgA9/9yHtc0F3XktEC63kGY8WLVkASl00Apm7D6cQZLr6Vjxpifv9+Wkcv5xwz0dLyQVzT5/SxztLHg+/uwXbTUEntNNQyORWRzjJW2coEg14MzkFafp1hiW1O79fNlkxj0zmFUtEsESgBeTV4OQB6Q4dMp35bkrdOxDs2pXV7oMf7HQzhP2M4K85gGBLLEqPvvVW93df4M5a32Fx1NNOT7sbpEC4vjjFrtrj7vFjtPLNHdYW3A1ZaNHLitfA3YFzYukrd2D8Th9VcpJkTM3wAiDHSpCvLl4Ck+PkePa9E9eHQNwAvL3Xj1v9dfBsBKFM1C7b4jOCoEXxPWmM63tRlvk78e5egmYTDq2eC/3oCRz77/OW7fuMacsf06NL64Nj67MKhKbZW7kA7eW46gqSPs0ya+6VpgBKn0brNLJ9LKANSC3va/7puVDMQqgObxTKAU7J+w/28dEdkDv7I6IutolMOSEhEYD82WPMVvMVFOaWkMlDwQxwW6+LmmqRy8+OOWfxgK3eUK0yhe1MbLgHpDLRJHZOtaHzRrPoBw2AC278ZgSFm3JW3MhAfW4R1xwmN1NcJ22nopMvMd4g9CSB56PM/hWdb9KlgqpM56IK63DE1nKAMprZNqBlNMkWmt7td+k3Gp0r/x7CsJoJWQ4fmJsvzx0cjqA1j2F1cCgFkkdzNVV8BXBL/yY8LMMMdzlyi/brvnGzk6RPfm0tGr6b/bB3NI7gSLuNPdcP54Kv7x1wJNmZYYMyFsygVqipuviu6VoB9nu179R5DvDpOnC3Zc5xVR6TBdL6ZnUlMBPcuem4Cdr7O2jvfJfOIyD4Gc7du5+Sy5tNPZcBwo3PBd7pbuktXFpTyxEEz13Qw/UIhbALkKt3ef5G4Ze43rinwFIQ721wn/aMXqdv/F03p3WPPy08IZCZRGyXfiQ3OAcd7P6iaGi6BPY2WMtA+JpHQ1BeYOxIgR5XxTR1mM9ENxyP4F/n8GT84ANjjB00fkHvcSJXUBDEFy7jVyffgobuAfzvRjZxTuG3CX0CGIKiBTVwsAwVfEAgpjFt2WaB1cWuhI/xnOsU7nI+EcChRfiDP3WJEtn6ZZwxf6sgffjxMs362+5f/MWfdW9du4EgYe2Gwbu2OEfSsanud3fudQtE+gyxkHOHs0vHWMNaujbT/fhHC7inxrsVcuTcebSZGOxD2hGeEUziz+Ij8Dp/BKUKkPrzczDCRSJVXn/h/EnL8FnabN91fyRBV7taXRdY5ZVfqybetGEFispLylRJbtp0K0ABzLxIE3zOdtqXhof94N2vddtH2+w8cSwEV8FXQWQbbLdzz7LaWDcgtkwFjb9ZThMw4GF85t6n7ISPWrYKmGVqtVHHAMzwJXR8SegX+PIraBYAdwPPkM50NTQJwQqeC2uT+Ig/efCwe8CWyFlS/N3n6Cq3yV8BSA9olAuJS98rwKgPfYpoiRW0IheXltBmjzH3Lg5gCI9GbWL8XjrLNKJ0zBnifaMjBOsdNMIMGsxlDLcTS23MU+TdTHOwUXyOOcaKmXCFXNwbGyy80gE1rHbFhUL5np25iym6wXvJDwLhr94iPO/WaHfvo2OAEm2b8ly4uclmkqvvEGHD4tgaxzFNEBEwwbblKXyTbks/Num+YKisqLSznmicXA3Yc2qOE5ZnXIzT36sWZ389ISi7DGEcN0jlau8LcjynNmqUjIdImGFQC2UaQFQLcru6C7emWJ3n+LCTHVwvuFXM6Cbj2C5Dl7RUBMAcwAH9FgCh4/0R2k5+ZlwtrgdI7yWiHSZxvxjbbzKrKSo/ZmH7HJXcZEcKVvv329/e7d7GbXaV0MZVNTz7b9P5dxyfxnUSBK0OEaPOvQ2EdCwvGV+QECShvQvZ0eTgn0w+TXxob6ZJE4EJ8i6gZsOY9fL7zNtaXKxzsBAu8Ojm0JWyRRik0TDmTlFJ0E3hOCYCgjrdGDbG6T3GaHtAiM/EBdAn4CW9O1unGOcTEMC1hnf/bAL//yF+/sOyDZ/2DDOQhr559msvSqJfiMsPTny1cMdZUPBRn/E3+qpbaZ9xSz57+hGrR/Bus5dnk7LXvnDv40+f4Zr8Rfdf/+sD+BFrmMXuBxur9G+3e8LaxTkdWqL/J/hkVjjYYmPngEOtRwjBnWAcCT1lccy9AkmDK+g48wVdaeCYeAk61m/b5TXGibX+Xn6ktpcibi3npIoT7+TwE8dXK8Lhpc9RMB1nn7PMfrdFre4r//Ed2+W/llMBMhYkfPPCxXPhQRSMbP9HEia9BgI+TNigyDGA7gFj74dpKZPvUUTkUX+TFv4tfexDswZ8p/+yXMuQnv5mm1X+BG3brkVlGQoE+VWFjDYmhFaFmZdN5a0W084mLi++3hUAD3Dz31BNZmU2LiMGBEXjZvdYIR3hoSO0MU8/SYIeAMEdb7v4X/Vn62JQm3KTCvn0w4iay7lqe8wvYlu3v6gd7h9UCWRrIICa4TqTw40QE2puDojACHcYirgNIGwAfGYfJOV12mO0gws6dz89SPxuokcumkzcy8k8lJ+NDvxuG28SOWPeh9krZx04loRKl2+5S9MDKQQH3FrUOTO/lyRWWwywERPm1pDZk8OFtrSzKfXXmktb4Mh2dxhJADYxVNI38LxhmQf0wdjynJKutL7A6DKtpweRZqXjEO3CTHxGWWtwkcUkQQtYDvPsxtwihn71M6wKFmgVcglNpK2eKnMA6O9Dz3NAx8VA464VbpfUpql7HSbXEnAxUiukgbmCyRQCjx8qPcuGmJz+o+DhBPvNHfKjcNyV2qjnmMbcVmBQ720Se126Otb9wy94gZuZyBXksl5OGTmogPs5OguaJ2aaOgN0TkiZHMZ3nOY4qGKXRFae+mKOk150gJqT71FetukzVgpf3Uko6+mvC8RaPM9MhSudtfT89GlxCiX3FL1Nwq5J+HqN91eIw7+DUL/53jyCfYScMNvkuoY/HvHufAVYJ7talsAor8vTFaR7UQ9V403oIs8piAyBTF4VaBAtnjYaFRO+FdAtQzCgLwK46QweEAiwtfP33V//q3e6yz+4jHvyLgec7HZ/9fOl7qN7290vPl7PBjetscf0dWP3CCXsNOGXRkdtIhh78c/ONTXLylPRFhWgDXikpePMvYxX5eWs9VRQTlQXfXDBOHPdshwLx5Lnh+C3HNVXNdHnPAXS6mVXE4QSs81faSqvUE52ZtrGl10KfIRLcgYZpmTOmIYDCivLgV8iBKql0YrJFnmFlXSBVhHAgq5j0DT5BuK2qx9jfcc22X/vi1e8K4+E77VmLIM2JPVx0+R5triASqfL/1vAGwK4j2dffkooOTbsbBLeUMEiG0uctIdMVJM4Gdo1CBKfkZLQNKvmTfEAYt0DFnGItrqMlq22N4EZunB1koXFPUIOMV1h/hxiqlZlh1vLbYRaVr3nluBsPaYMgdyzKtWIrOCALHiXiTg5Q31RO7dtTmL9kg7eEYRzohk/Hi240UOhwldNVfN0KxA8ZHkXd8gXH5OXBKJfsi8wiRNmndA5FFoAH+0bv/4hPukVBsAFFN0LZnOLJUG5ZkFUUwbX0GBLuw2LNA7W55aZPJqwNsfY9+SqoD85taZNWvvMMw56NI76ScY72wEjzKn1cirOHtr/MmkHzLa3gn/7BIb16KwcXEH7T2inC6WTaOa7aNMCmxtcnFSa6ejULC6xJZvnnaSCvVvek1iIMTZ1wDAN22QtYe0BDeGdDz6YxQ870X08+JSt7uPd99690v3qV8uxRNReImTtH2obm9AxSzlOb4nwOzqS/ggQ0MPwQXfqeiiHGmZcDgCbvup2uG2Axt+gY3YCsi7hIvueIKTGQR+dXGaISxlqaXzPCfOCOWXH2vF9+Cgnw9MH0x3YTpTsAFPmohOJ9rkuYtIphaMxuUtEnhjPv06Ex9LVUZ7hpKmbuGzoqymMM12qEAiLhbmox77Ik4KC/GwlPKcf3Q052VFpNxh/U+Ya5mg7bYdZLx0Lhbp8Kz3sv4vAxlF/+AnBA+ePWK+51t0jLvzO3YPug/dHu4e4SbZVKhC4i1g/7M1lc9Rw94MfLvIXG50MpM8OGxtaaJd5IfDQ5uf8uhW4dG+eCfI+U9uT/tY5pdDceEIx7Z5zmj7FdWSfGWMVwZ6G771XaeINaF+GXfVeBPVGbatj3v+sbbJv8Ln33R3sOZyxQqFx8pPDE7GWBdNGh/4yFOryFe+cal3Jg74n3zYt/mL7bHe0aT7+La8qbJjLrjsM4dZU2T0gT9LF9YfzXnxmP4Q3CeYgff0VDVzOkWFLEvPC1QlhU7IClmOgxwG+aH2kDo4r5ye4Is5g7svkotDfucOmkOzIEqhITjVGLgpszWgcrNtnB5qLTg5wi3nuNU+GYXA0udQ4TcUq8EwS47vM1m0JYLeMMjEftXHDg2h8a59xk/IVINmCzcDMswv0GIfnNqB2xntO2h7NBRgGaeMx5dG36ZtlQVFQTp4G2qCmrW/dZ0wrMIu7yGyI+q3NR+7C2zjMb6SEi4/Jo0wzPJPx2m3Gkt+XPymg4nmY/q6ZbMY8c5krwDylJ42S+pRh//T/xiqQxpUWngqk9rSHI/cA08ADLSbm6BtS4thNV7y78rG0wXKANvqZFWLynQudCgMXlgXNOZjYkL3EPlOP6Va1Gp7cLf02h3YWCgVygMY1BqNUVtB63Vb/3/zN7e6/+69+jFJz1v1fU78gxHS/u/tgo/vkIxL4E9EyS1Iw86WwhtZd54CPz75gL8DwAfcoE/qZoCohkBBLF4552aO1wjvJMifw0mZDALNAzvfMaYU6ZeomcTHXjTgDanYVFKMpqeX4MDymxShg54QXJzy8dErf3Bcg73igiKc2aaHUyFm2q5NWwNBX8tJseNAAdH3E+E+TfOnGe5x0TyKeNWLjD110RvAb4hqXHfwUJbkCYU66gXYqG467vJDBkO8YX9uZk4rsN19jMTj+WEkK2Gxwss1akwo12qvANRY/ewooS8Xn8wd73f/yv/5d0dXYhLYDMpy72swdF77PeOjdH48hsIlM2fBwizNcjn3IKa0EMEFZcG7fLVAwss0+bh+1YlSeoGFynftMBT/xIYdOWHXTTn3P7yocPq/m62+ZJHwuXt734zNNqLzksdyqwt7yX9if4e+2y/ZVgWQ4cra2KORtizQVYHnuhQiaWmdvN2sTNrbfd+Qz73k1pdB29/fP36yf3+M2UTCjWBl1lxN/mlCo9Ev67p6G2QhZC3gVDS7cLwBuhWpJ7gjyK5wpk5oydsS47SN8v5jrLHx3T++LLmXSOZnO/Z1bpzC2WdmKNuTIl5MmDthRd+ChkBJV8JAOEqNdvKM/UPBQO/I3z5y8BBjNkr50kSRFW6uHaGsn3eJ1tAt2T979mBS2n1AH5Wsiu0PTDR5qLxPz7BYFJE32lJPJ+yRm/OAwkX7R+XcKMK8B3l5qzQom3R8ypQwSFwn/Crju1hI0NBnXAT0nry4cF3N9JjkceH+HiZ+ES9AhC0ZqALWdpkNui45tA4LNU2DlFBcFDn0x6mIJ14i7LDcIe1zg9Bs1eTeCuHsy5yc60SnbzIduSnEruvWEDaClNA1A0HZ962pvyf8h2eiXvymABO5nn9bAAd9hAutOkc6DOBM90/Bv/ub73X//1x+wMAhU4It47+0lLKwtEm89Tsz9BMHsV1n9vLdxRL4UrbWB7h4RMqNOeplVi02TsgoItaKcWyqvOOH9u5qsAnAmBR9BXuFsNsUcrs1vJiAzLjlRSr7rs15OKjp/hJCauspt6agmxLi4wG0oYXbw0vcRynLXr2dtinsz7PycY+FvnRA8QfcEdH73NjsPAD6jXUy05gK9k9vUDyoQgrB+eoVQ0sNKW8rOuDNO2RDEd0FOQSJIm03SNRutS8tSiZBnDdkMLQQbgcwJz2fiumOEgmQ0ksKAclR+TOT2aP0ogvYmc+IJG3x8Ny4a3tvFFB4k2sV9E4/vbODiZL3D92VV2qBmGHrb5jYGfm8AKF0FpwrMzk33WiSfimP1sqsK1PzUgM5/rVchQT97/nb72ADbOmyPoKzQhXbNYnlBW68YZ6BDfw6b1pxekqkKkMbTR8CrdTeBBE8qZFsTe12xb02Q+X7lp8abOe3Ilxwb+CEb8wQS5q5WdGDGuhqoW4b9kjfgE3O+DMGXapQnKEU5sg1AUSE2jazJm12LbG7GV1D5hdsFwOPFd2ary6E1A8pqZe4US/4Sd8ZBNQ8UzoKixLAzDMwaEyZaI0w4LEMIWJqD7BRMZwTtqoX0/FGtGRJD85aqnaCG1mnma056/uEkk3cOP+qmW/JxKo8iGNwVusaRRzLy1e8PsmCCiUI75ziBxPS0jz9E36dOsxiGoS+OlM3ieXfUPQNsNdt935zX9kFA05cteKtxm2Huxnvu5CsLYURoseJfXCeaVnM8p7/bpFYCQzLNCVQMkBElOYqLtur+kXbuLO1tUOCZLG4qVKRRAy7KFyQ2H+MigT6sm2YX4Aa0NoWv9SYHhVwDYyWhEGNvul0XmHb4zeOydAXpKkp+GMpevDaKj5udnqCqoPYMENPVpGnvJ352QYS+TLNR6Kd/fqn7m3/5bvf2tXk08bssoq2G6SYwBW7dvt797sN1XEfkYoGRP/xoPwJsgqgWw++0YlygTdpetU5+U4i4oQSvTPgnmiv1ZmILzvSN7QbhPUHQBdt5NivpBHYdYhirbJRYfdkqm3Pq5JSdBHonm+8YF55UwIypuz7juqAuFyCNgvF3hZ5rIRaxwQLoIaGxOXOUct2w+bMfXOpu3Xyr+9WnD7pfEFJrDqCcQuV7CgaFkrOnaqwCdnDDOcNv7jnICVCMt/R3f0JO5RGk+E2tLFZjK0Ogo4xkd6TdCnL1nnFyCg3gCjhgoTljI5bzvnPD+h/jHlvX+uV5F1lNzaBicYYb60xeU4i4BkHZk/PFenD9Rr5uByJkraFprhX80i9pSB2mwc2BD7Xtbfr2/vVdP/Kw4+mcb+X4EO01dbMg2M7VjeAQNCuwBihVmBwQ33eQvSy3XyCoLDHHEjTX15BE91QFMbcFyCr08l3esyifsY1+vKyvgbv9E+wbZnlfOtgX7g9dY1wMkZ4dY3wICaX8DXbNucNXHDrU1ViVjLZ+0UBc63MajBIH2HeW/unaOs3mF8bYCRyXij/296yvky/5swK4SMcOSkSsGevMueFiiMWpke6zVc6Ve+tIXt0qJVONhLIJggh/S9hhchUnN7eMBEOPkw95lMWu5Tts/5V2C4S6eS6jbeV5wdCFPsdff7D/niMstom/vjw/jHZ+1N24cTkbKQ5Ipv3W21OcDbnJ1uKtnCJjtISbULaIe54HuNXk45d7BR1sowtbB0pOAM7JrCalWRw3hqDDWOhiWAeELO/yTX6nTH2ft9+qVhUTOedz2m/ey6ECAKcT1YEbR4NyPJI7XUbxsnzqkrly2olaoBOFOvWZ6+JwULaIH3bLvDR99nnRnnUltJClHNrA1+nLuKsoZ5VwTSdmNGzqMkRN91WiIKhfui7eHolWvULsuC4Uk3c5cSahWbR3nnv7AxbwCLGbm5nqfvqjHxCvP8FGo0eA9zP6dURkB7mcaezB+ipuDaJwaL8LXEYkqUCssHgm8OTYMJtDv+Qlo3V8preqL8vJY04kJ40CSeEP3bMAxu+CtMehuXAmMM6zqDwBrR79kk7SZ8E5Gn6d5BOAWk5a4nl5D6MxkSIBK2jRfPTuvFVpcB0ioYzQep8QybjxeFT32NOHW927V066v/rZjzj84rD7zx+uJVooaQ2gU7L0MaFzyj11RhhRXwCigoKHZyskrrw3joBgl2ud4A24XPd1XNyNa7Kk+IvtjmXy9ykKxj5M4bGB+vMF58w3Jz8f91DsPyj1+ZvgfuV9UwuTz3yVLfqUOwxNHIMpXERa0/r5tTS1PjxYRcFm2gbbNMiz2RYvH/mvY0F/elasYNaAtTS1XBUce/7+/t8aqCv0oF8visRxc+x9twrBLPjJ401BVKGpwj5FVuBLpk//rsAebZh2qggFPBAUve3yfm9Cgj8DrAI7/DDKJroTd+eaTlK60ka9CGlTvwDiZ2mom8tnz7B+hljbGWXRaORdKnDMCXYwt43PpY/OPevxcn4zRoe866HJLcpHpTghM8nL4SqkTmy+v8Fe+grgchADbzww8GFROXWF8u2wCwI5PJW/kx9YZqudyqKTzMy/agUemrDIZpksKqppEPL17o9HOXC4xCzPEZZ36cZY9wXHdQ2QC1lGacn2XeiT2MnOR+dv3BxlR94kro5xzMgDNI6z7mc/f7u7/d7N7u9++Un3v/3b1ZhS64BqtrRTt66E6fkSUaHG1X9lkQhBkcHiec1q6Xnt9mAyLLqxyHhrEvRxbNcgi42D3e/+EzmpmdCX2Igx4akiDLKHJ5OmmRA6zFvCCTztxsXAeYUApFzju4NmNIjuiLi5ZCI1wSZYBDjqcvJmItHWaQGIgTaqJWdDCjCUq8ahdqpLyDGYZEK7WGdqWTf9PPuYd6BXcow4LgIM5W0yuZNhkrbodnnw+W7AVCvDZE+CpAJWKyACiHLNEvk+US3/4r+4iRA77B7df5QFz33s/gM+LOV1j5bZ8bd20D10B6mgQ9tM7uWlYEhf7V8VoK5/bFJfohdkbCeeICctHG/GxEVXI0PcVOVCnOFr5GvL4l2iPKhji0VbQymzU492m/ApF33yrMqcw+n4ISgEcgVky9Phhq2W2lMBY5y4pq0RIUmgxu/yi/WYB+feo13CZn/VXX9/iVhyrAo1SMYlIFMFTzb+wHsKsEEGbAANIOPbhBLl6QIZIuHWMesYkxyOPcD3E/jMBJpqY8mXwvtq3ArlCEL6luyW9NWd0UZ3JZZYmlG/4O5J71qJIwhfDynQAhhmXJNRg4mwz8KyIHbK/bklXI+4I+9/xjFrtH2aNSo3rpkiVeHonJF/EiTg2DTAsy+0Jf0VCwRaPxevBuCNz+vvumsG54v7Scs0Z2UKrvKAACkt5RF5yH8FQvtpG/zddng1IKe/Wo5aVBeVM/vRFsTNleNiZ9ZW+gWOPGB/vKjPUFsjs3o+felr/3xG68DvtqsqXwk1pH1HhN0MAL77mJJDrNONs78godiEMO+hwMQyc241ulTrw1z1UeAov4RX6ra2o2rG/Obzhme96OCpjX7xnwrgoh/U4qOGZi5lF04SwgVzmY5T6ax/1BwjmvFJQhMVq9TpLsFpgNBkUe4205/uCTurTKx9VKJjHJZXPyDPNK6VjU0WVmAggVuTdo7FOhcbT1igs+2LEGURCTeDOb69ucmiFyeQQDATLP3md590v/noDgtozrbSHjMb6u5Q69KfqLmaRQqJ34jY13d9kR40sc2AaNavbRRflAt/nijkQuUIi0MS3Ex9+sRNPOXEV0tVUzb+dZeFNbfty/wTlDnO4OhD1Y/vBJuqEtmqs2PPP5yAvO8gqkm4ucdFOxNn6bqJNq5GRTu8ZFYXduOSESzUtHg+ZvBGSQoWYHSS8UxO+6FvCjQPOjZ5UmKuAUb99SbqcUFWuowD2NnsCWO/QyZCj0jb3Tjt/vwvJ7srxBBvkDpxE2k0gHRe3qRCc89A6M/uSDPoxC2jb8JvlKHPOxsWmgUg43M/vvc2mSqoO1Em4BWTny3fp+G8qzshicloh+AbU6RqZY6ZPL7DZDBs1dDI3iRXq4IuR/DaMBMyIYqCInTzmDrD3LJlnXtzV4uQCPCq8XNfII6woT7DK10sf0j55t3+lHjWU9MpOG4OCO/oX2+n3ti+ITTeWSJWNoxNp91RcgQC5wYFP/x0B+0N5QC+noCvJznB6sknLIpiqp094TnKy6IfdIr7sYKG/n61uSP7apnep/xYwfTF57OwC+1yBCA02OIQDJOLGfMvgKq5G+K5zH2FtCdjLQqmzGkXlO27SpchotuMa1yOKjkKJekPPQKEtCXjXAW1pOhd3ve6MNdGkJqXbox3z35LHJKxpf7eQLqOR95rINkn1HOv8UrVvAVvlbPm8W119twntpdqsmDsJZ83IeB3gV9+rfWcmNfD35tAYc6mj62NDcQrzslv46TY1vetH9vvp8yJPeJ8RxCal25ineLq2kFDD+8Kq7Q3UWYKHtpjIMgRPHT4SJ4rgqAcXlgI8RK4qr+9/J8AeFkN5fR18TMO9QKsOZXDTtNBQVxzUP/vKU6cdc+xhDnTR0HF/rBrbZQMahtsLNCfTQ4ffG4wMBndbr07jVY/xLFjmwEXF5OS5pOJNOYOQuLLXSBUy5zDbTJJwp5j7ONTNJdjZuM8u85O4MaH97e6h/j8NhkkJ5K+UbdcZzMBzBjT2MkDcXPuYd+lJuwhqboOPDQ5kQhMcmOEtTiU4mF4vq9A4GH6J8C7gOiEVSu+BECQX6gsTlGX/u+cSg+t7qPxSidNYa0I/biCrQCqBhJgk6a8bz4XtaG4O/jY7gMEUTvKKnkeKFfBkMNvq0Yr7RwbN62YtyO+XBmOewL5An62WQTi3Y9UbUvdkWM87wQQGG2zGrlZ87SczDuzMMdOPvytDyDQAQ795ZUV/MEk/UL11OowpnoDBieTQlxEatROcutPmB/l50Q+NXCZwokh/asSEG1YGgpwvDeK5jjosWBOCp4z/DIx4LyXHbZtIgnO6hZhb11fbHhIzHkFeeXKXAFslY2YyE5cHjGBklFE0f4p2/UEXWDSyQVjaarW6fj5tznp38HnvkXub/Po6E6boS1DRKOsMY7uBh4HLF3APIA/ArTwxCma3CG8P06s+BEVxdy2Hf7sGCRFIrQDxPdxHY4xRgH4PnDR8koMswLKdKMUfERUTIRB1VYD1rQpZfs8/cjBwwICfOf8lXZt4TTjDx09kMLUE/K/C8MbW6aJxhKgvhwADQ20zHS3eM8xGQLQXa8YJUmYx/KdoiyErhXUm1b6/Ax7/puny7uZT23/uQOBfayVIw2lbQNsaXIRxbgn/xim63P9gQm9Gi1PRUEegC6GAw6JVfQlESjiWaO5NG184j2Zy3tNEPmv962P95OQzHkkBuIGGeTAkAF4Ia5k+F2QPsJk3F8n781bs0SdbaCMCUDOL5RTFpoP2Pk9Ay+a9XSbON6Jy3o6tMBcd6xmgmsVDFKTW19F2/ZbANycISJJ/k1IYQEWJ5PZ+LIVGRV5HFNsl230VzgVfPJ9No4AzGrOnmQeHy0jb+Ia/Z1OGEFRv/wpZuM8pzYsP8MMJxOcMcBLaNcCyRi+o0lyPDu7JklMtEMaWo8Z0xQ0W5ygP07KwiF8JaOoFVevEdVCZZplnrUoEZaRFIKDzKtbJoCopsK95xYxeThhfWlrIYHMmrHkWckYzQ2qmN5TF5Bb0+ep55RYwPAcNFFjWed3vxseN0tZka4ChMAKw5gGIHk/rMcPYJmVcBglh2A8hKdsX8GimNRhTO4lsoF2mefcbI2ep9jCpnQdaPJfMpmXO1phpAXcOx4mrdvJk3yGoJtb5CEl7i03WrHCDUMPUpERO7qX9LU7ToYdTqFqHfDwMYCtRurOQ/ZR0k9cS4dEOeAT3xHAeZbTsBI7nzNP1WQFXNozqJlI36S72n7iqmFYNchdwM4J7/qAC4gJIVRbJM5eF4mWmodFu2VeUDNsLelVoV9OStda2oB0tO3mbayBR6ylQMMs4vKbls7uM+iq5eHEk4yMh+/Gfy6N+XcRl9cJi+OraE+60nSv6HYquyEJ2WSz0BEPI7vSfl1X+7RjkfHX4lKLd/xNk5qwvmrtqLFNsxK+9N5Y99Gv18oJRQKC0ypMxkeh5tjiZtnBAh1HWPzkz67n1J0vvmCbO89oAeq+myR+3mMIH7myTr/kD8fcPiXiqypX0RQB4Fhs0gla9zYAqagIMLRd49rkYPbTBeYBNBHSHGWRXV5VU287K7MNnfcicB0r5zDafcZQQXJRqy3kLtcF5DlF0i/fw1Xa7vuvc0CgVTFsNFJZcRI6AaVVn2Br5ZaoDb69REW12Gz772tDFoqd77a5vdPerwKwhQC2FAdRPtrls5V3emAuTbDKx2C+KcJLN4mGM9RWDHEtZ4PcMx4Pef3mTPcAxlFB9EDyE5Rdyx6cx+JcGCfttt6JqW7YRRL8i2JRdrlGOokqFdD7afuKvwPgXidEmoTQSIR91K0sulHO9r0CcoMLLKbAdFsAzykmgptRDNkyFaihULoCnCz3aZyETjJ3mMRwNTeb3Pv9ZjaFjOHf3OeZwQNO6jaMRvMOgJpDyznE1j2GQGbTW33KwbyCMq6M8YltytwGeCAYnO7BwrpK3M2m/3iByIRsS4VgAqt+2KQzFTDUOu0g/6cmG5ORdhnnHEbiOaMKdEmo/cvUaiVZ2ORft5UfrCFYfEZJzqWrRBIn17GEF0yq0EtcuN+dXDKVdGRCZHNDu/i9//tzC660JyYr756hlgtcOVSXciJn1bCow1zrmYD015zoLicoeLZWyInN+46HY6BFMQgIDyLhdqE/6acD3pbn+Lg5aJ3F35UH5PpQM6Xf+pCf3SdzId93+du0A07+HBxNmWtMZq2WJOCHJll0o57EMDsZK4gqHNysotntRh+34gtU8q3ul8Skw1sEgOBGK0ysNN15yr+Wr4UirR07y+L7kztsz+dvx1X3mW4neTK+bmnsOCjkqM9TXhJGqVZJm47IjT7NJNpgdXMHwSF/GYGUfkHAHWK91z8vbfJSe5P33TGbMEH+3kfIJPGYY1vHN4cuo2Ueoty4JpW0oFVBSKqAzKtKI+rcuH/eXb0x0t1YXOru7Twqp/koVPk3mRUJx9xr1qP1qn3STrM3xnVpvU1blE5+eN5qsmvTsYBG4T37Tps8otD3Yq0xH9ehX8Js+c21BAGwZ71wLzHc1LnNukMPMy3Pz5tcWqAXn7f98kW9ArKVRq/0IfDOPmOWGH/5ra9Mw0Wz8anvyuKrfe2/GijX8Q0dVdxUqrQAL7az0jh0sXyeGyePk5sF95Dmnh8cl5mC0v5A4zVS/54TQjboONWxSjug2xYh1YSJMN7kd+IU8UXNO/yGAyrNdlxFo7eK+npEDoAbb6zjVB/oDOr0//Q//s8AOn5qas2E47PFKtXG5no3N7AcreGU3RBXSSCkr1uOVXs/R40chQN16CtNTtHGzU9ietp9TMxpnN7nHOZnpZpXrpYP8eyAEScAzwgrpYNUdqKaR4f0Dpld0DNIBqCyGpfA6fuzIOc5Dtz45XH8GrViuOM8qvAi+TxOUQ1H0WQOUSeSGoC3PGXG09ZPkU7z5ofAjNFllENYbSdtcVv3UDIqCVrHhO/BwPgZ3JU7h5nk5p5hHNVaG542bjsNrTs1xBKUWyJnTMwg7nEqGSPOAg5tlx4KrEH+NnlUQrvsD3Wd0dZh6JZTxgV31LtBhJjS3XJnLhWOPbecBKm7CxYtm3jUBfK1qOnoO51y9rPWMKO2x7vD5P44J6Oi/bF/0/hf/XsSZItFQT9c0DxhTNysNWqoGs8dsCagcGztMz9KGdOyT8D70wjiAcoaGpq2jgAADeFJREFUgqa6DTp22Y7iXD8yOJvVfY9982zLU/o8hDXgWEsf9xi401ErzCPlzCZoHx3LqywGDVDXCf0fIjZbGp2o4nONQOtjxkP6jeBDtv3m2J5Fgx5mfKgpzw/qCqTOWCzV1p5C28446TZAWVjCZLIvQyCYdEkULoqEvs0bnvOXuSSflMMizmnDGAvYQygwsVCdaHUXnfT02cMtwih38IMu2jGFTjGFVThsn9k+pYHj4slII6ja//B/blDeeLcwdBP3VaHDCW2fI9TmxOyf5ouel0/U8rhvyCynL7U0XFFW5TvaNwgdzdmfBFs8O8PGrySoy2pa4RlJMsgmK3e0SmPLVShKM8cyfCzfxLdnU8szLqSOzbsTlfYZUizf0qfMk5C5nCjjePiibTF3ji7WEzYb5KB0ypTfnJfO+eZ+yrsmUiMKwEN+nSMpMwMYWEsbmhqv3/gcc6r84hPMa3Bj7q3iP3bu2R/pnnqTfCSPljmUxPTyLmNPXQFtJS7HqUmblIv2d4pGEE8EczUu5jKDQ+u8q2Kh0iFVtbh8E4XCjTnHrCNhCCeVcNpifg583adoNrrFJtA8RuCnWcJx07XavPKP356/89zPF74EwN2wMESg7jFO7nkOnfw3/8O/YWCPcl+y7HMKy+rqavf7Tz7sPvzwd7hCltGWOSkbYmYI62gEjAUXGUGGBVDE9yEZ2DSlqawwjPm2h/HoC/wyrQzfdiXJlC4MBdwsu07EpH7BritRMW40oZy26yaMxn0GU3Alar1MtoGlPCNTtkD5Y9TSUb4L0Geoj0PYpib+DxzDdDJScqLTBhlukIl+IsoLujCbOWNkDPtpOwMB2T6ZecJ3mAqNN38LytwRkGUUXT/+O4ygOfeQYYSndXjwsPQPqJg4KvOuuLNGqOPEvlDnKROoPKMAdJI5BmVChPZZ2SY6BDAVBAKgqlpcMp+NNN94YXAGx/ZLH8bilEktXT1n0/4HbK0HJgY2AVCErz7YlEs7dDJTu+Nl91QLcxoO90YdB0/t8TnBxUmbcaBdjL3ugNC2BvQ6dsOhKZPYcRSUHVsnWyaU4F3qHlKAahXyn30rdBNICxhINA+6tn8l53nph3wzCGJZTkCAcfTkH8fyGFPR56wreBchXY6+OkFAxcKCro69dJSnk4+Gh4cx13x/AFdUGXPGN7wtWNtu2yOQuMtTV6VKjkJIGjp2hT8dqwh5/s7Mc2zlS97NwjfjkK3+4TsVBa2euoN6SGWL8aHdDRQiXGQ36Zg/DN3V3QitE3Hm+8XyLvyIZUs/zPufw6x5z7G3vwrnAq5FSGQqO2cz6kbfFMvbOepYnLiZIMnSnf/6XSgHV6qY4oMKAPm8zPmKCZg88l0EOnMj9HSsoiOWueb8ybxwQCCAY1gyPxZF0vIaBpX5YxsFbMfZdMmOk75p579z1rnr0Aj2JaFUmcMKCfFH9VyM5B6+KNfhxjFv41uXbjx8SpkqYPJzlCvr48fMofCh5YGvmFrD9MlDwkcxEc+NSKK8CM/gdlGSQrTXvALgYVrsgFG2E0q4PZJj2IEIcL7vsxttn1wLJ+wQOcVvcEoylAEnJxN+AOaKlFGzqLqBJ2JGJgl4/CHYD8NwZt1ysM077nQ7zdHaZTHUTsiMviMxXKhSG4j0y2AVaXkK5XzegTx2FTfSsYCBZRQGL4sBsQxkHYiWPNc1NCUTK+/SQeo8ZTKnCoVAcMjFS5lIaW8/FBwNzNROWNhBs0i/HTCBiOecqKdqLYnpLJJcv7MB+2oiPWbinSNMMMstso/v7J6LRoBPwzoVKNYjExyYkTGMpR9FIMoKQRZYFRyGsDl1cj/Cxbwt2sxFoih8yqS3PurKAYSyFEAN0CigdllFlE5nZq1zl5MWTyYMC8mU2cb2zIM/4pB0LPGV+5waSMa6CguFMkwd4HIaqBVKSx47sdG2W0FGm45YCJGOtsGxLVqcz6m5FaHU+nGMRi/gn3rYhoIjdK0aW+2TE8Z2nOkSrO862XxvyDZrqSkgPdBCHsCEzRjQZ48UVPhFS6wCwLTHjp90jZ8V8BN4zeznuozjss98kHZJkazAszzAX5rbTrVWfW1yfspmYeusJkRR63csm6YaYWX/5GXrlUb6IUWdoAhFyx/6XsUsqRPmFai13uS5wlf2s4yJs62MkXUN00951vkWqzMKVQHPEXxWupsUBtE5cfrLN4es0kvPaLRBpDJXooQLuoBSTsLl+yFjWnZBV6uNMRqQtraVvkuPdEVaVd49yQJR4deAtyRkEUmrws5lTBV2YkLmaNVupYe0zSaVQg/HWPrZ12jMUR4KLykUw7tRZop14yWvhn7iUe1ftozJI7Vf/urZCKdE1Z1Sn9anOX9UmrQ2s7CeQ1W13rVmzQFUMCxjgr/7NG0Bf/ACFCVVjCltd9Hm3Fjann8sRX3lFQCP4Mhyt51UZMpvaKUyIJ0dqtKlSFeYll0DMQ2T79PJWYG2mj1SsbgGBDlDBAFv/gv7ONH5b5B7aluR2WqSdMqjkQOiBOJGM5OcGZEiadWADLsxXrvETwr8ZRCMpgjzJ6O71GDCBrgFTt8tUt2JGc1d4RNprXZjg8voh9AJzq2DIUADNgMMVpRo2mKbhrLrpGjJiZ9PoKyD6iCkZT1wlm6FJWvTZBj7TVt050QCpw9O+iLavZd+6hqQMdJbfbW6fQqAByCq1ioPJBY5otzyyslKUbzSmmoK+j1aiWMwVjVx3RBjabtaqn9ncSaaR9HodFGMqI1GahRXjHSLFh0hS/laFPxsEqxoI+EDwaAgTXHlFJAv2jeAgSYUrSfjU/io8YW/CVSnxLsN886Aq3GZb7bd9yoIZ1ycqArpQmZ/i4tHt4ITBveemmChiZOoaI88kTFV+y884TiHmXqAZ6SANJAnIwijPepOgKpo38XE9/miUTvascjC27a7CEJpUcooWp7/lzbqGgvY26BSb6GFlpe3KCPuEc1/SofORcBXjVOiMCedjzm6rb6jkAkACSCZTU7WYvE736Vhcw6E0+iP9RT+1mIowjp8RlkR6KzyFzegjS0uFwWfbcw6VBv0wniZg0mVGowq1q3WRiwjcKWAeelHS6caPJPnK0946Ij91Votlrokan0TOxRirU2+W5zb6Td40dxDEadVISyWseUUgSezC97NWpVUUZoSvaN18SUNYtELOFqijnlch9ClCpvi0ioZTguOFGzImcNcIyjKWnUZj8zOiLbSlrDSlxZ14eZXXwFwGXuIoNloFFUDssjiy1JC0FkiG04YTE3YSLowYJGMMmiRY8VfKeDUG8UFIgh5o5o4vl8YME/3tC5vRIBFurffaxdLBelofPb16mkhgbQCnKUR+sSR4IJGTb4SqW/Zmexl8IrUL4PV3qt/lN/a7TIW5ZH8WxiuNKlYFuXH9owDXpWVPF3alVfqfI9JWv3hBXRLlaVatTk1qDKgtZmZQP6q775iTC230DxrEdEY5ckempXvMFYDhjQbEGuCRX2vmY9aEaFJa3cESPFNN+HoomaxMgrNo4Q3eqXR8an0juUsfS/tca3CtjqOBQjq5I2g9WvR1o4THmJRuuSqaVmJpI8yLWiTuQ5Vw1Lrl5VdH0gzFSpZsav0rGNn6ghB89jfyuypE5viy7wuA8ZVp0YUlvC/tM6RVPJkeSzWYZ8GlXwt6UPTqwofZOgr/8cfLfWcuI2uvfoA/F7lpZCMb0op86/WUIVXEde2MQ3iFV2Ubca08U/7U1Ltnd/pf6ySzM8QlpsFdMoc8Rktn6IAhGeLUVCfKQdd9646BqXntT2U6dqCl66SNn5lLlWlJ/0qypXvnWbLduGntKHOv8LwdWYVHaE2VWHC//Jw0dqtyG8Zmzom5enCJ23iFYvIrxXTgmXOh1JP8p843lHpy2tai3G5loEq84K/tT57cyIIUcahsIxlFIWmNwurclRWK0pvmouphzW1j+2fGoVSW1JY97lHCr3KJHChYZTPGLFFzdf0dRX0F9ak7IU2/H/2tR8A36Sd7b0yASufX+xFb8a8+odX0uNVDftHUqq/nj9M0a/s3Ktb+CJrXXi2r8xv0shePRcqzAQs2ukf6nojfn6uOa9Pv6+r42vJepHKVdN9fRq0tpY3Gs/3vx+Svoyw32Acv67fz7f/IhVenypvVs+LVGv493r0vMh/XyogxcJjfQptXgtFS6C17avq6IURvqoBvqx0EbjnWPK/du0aIYTjWehqv5WIigvAX03A1+vYd0/9c6FAv4b+h2rTt1HmH6ptX1fOH3Pbv65vf6jfv6PRP56SPdcReCnOTpLEf2FhIf/23DlfUfxrAbgSYZq9zFYwNzcX8M6qe/xRfa6Ef3w/vnvzOwp8R4HvKPD/Owo0DC0L56zb8Zlit50ArtJcjJsC7i9zo3wtgFuAL0+QFNhPWdAoC2hfdX0H7H+cvPhtjNu3UeY/FXX/mNv+bdDoVeb8q3y030Yb/jmV+SYulJfRKMELCQv+ElfF29fRvqXDawF4v787znpfNNi/Xq8avIud+6cc5Dch7EWGeN3+fFNG+qeq51Xt/Kb1v8l4fpPx+KZ0ftn7f8xt/yb0+Kb9/qY887pt/6bt/Dbqed0yX/Xcy+ZA62e/z/tN6nktAH8ZUL8OgV/nmTdp7Js8+23U/W2U+U3B5U1o8rrPfhv9/DbKfN3+fNPn/pjb/k36/ib9fpNnv0mb/jnOl9ftz9fR6Ot+f1k9bwTgr9vQ7577jgLfUeA7CnxHgW+fAv8vX5hF/f+up2gAAAAASUVORK5CYII=)
Question 2.Two converging lenses are to be placed in the path of parallel rays so that the rays remain parallel after passing through both lenses. How should the lenses be arranged? Explain with a neat ray diagram. (AS1)
Answer:• The rays which are parallel to the principal axis , after passing from convex lens , converges to the second focal point of the lens.
• The rays coming out from the focal point of lens, after refraction through lens, will be parallel to the principal axis.
• If the two lenses are kept parallel to each other such that the second focal point of first lens coincide with the first focal point of the second lens, then the parallel rays after refraction from first lens will converge at the second focal point.
• This focal point will act as the first focal point of second lens and the rays emerging from it, after refraction from second lens will be parallel to the principal axis.
• To conclude, both the lenses should be f1 + f2 unit apart where f1 = f2 = focal length
![](data:image/jpeg;base64,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)
Question 3.The focal length of a converging lens is 20 cm. An object is 60 cm from the lens. Where will the image be formed and what kind of image is it? (AS1)
Answer:Focal length (F) = 20cm
Object distance (u) = -60cm
Image distance (v) = ?
Using Lens formula: ![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
v = 60/2 = 30cm
As the object is beyond the centre of curvature (2F = 40cm), then the image will be formed between focus & centre of curvature. The image will be real, diminished, inverted and 30 cm away from the lens.
![](data:image/jpeg;base64,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)
Question 4.A double convex lens has two surfaces of equal radii ‘R’ and refractive index n 15. Find the focal length 'f. (AS1)
Answer:Using Lens maker formula: ![](data:image/png;base64,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)
f = focal length
n = refractive index = 15
R1 = R = radius of the surface = R2 = -R
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 5.Write the lens maker's formula and explain the terms in it. (AS1)
Answer:A lens forms an image of an object after the light rays coming from the object gets refracted by the two bounding surface of the lens.
Lens Maker’s Formula: ![](data:image/png;base64,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)
f = focal length
R1 = radius of curvature of the lens surface closer to the source of light
R2 = radius of curvature of the lens surface farther to the source of light
n = refractive index of the lens material with respect to the surrounding medium
This formula is used to determine the values of R1 & R2 needed for a desired focal length of a lens of a given refractive index. The values of both the radii should be taken with their signs. For thin lens, focal length is independent of the order of surface.
Question 6.How do you verify experimentally that the focal length of a convex lens is increased when it is kept in water? (AS1)
Answer:Aim: To verify that the focal length of a convex lens is increased when it is kept in water.
Materials required: Convex lens, tumbler, water, circular lens holder, stone
Procedure:
• Take a convex lens of focal length & a tumbler whose height is known and is four times the focal length of lens.
• Put the stone into the tumbler. Pour some water upto the level where the height of level should be greater than the focal length of lens.
• Now dip the lens horizontally using the lens holder.
• Set the distance between the lens & the stone such that the distance is equal or less than the focal length of the lens.
• Look at the stone through the lens. The stone is visible at this stage.
• Now slowly increase the distance between the lens & stone.
• As soon as the distance gets greater than the focal length, the stone will be not visible anymore.
Conclusion: If the lens is dipped to a certain height which is greater than the focal length of lens in air, the image is clearly visible. Thus the focal length of lens is increased in water.
![](data:image/jpeg;base64,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)
Question 7.How do you find the focal length of a lens experimentally? (AS1)
Answer:• The rays of light coming from a distant object are considered parallel to each other.
• Parallel rays after refraction from lens converges/diverges to focus of the lens.
Aim: To find the focal length of a lens
Apparatus required: convex lens, metre scale, a white screen, lens holder, a distant object
Procedure:
• Set up the apparatus near a window so to locate a distant object .
• Mount the convex lens on the lens holder.
• Now place the metre scale on the table and keep the lens at a distance of 5 cm mark on the metre scale such that the mid point of lens holder coincides with 5 cm mark.
• Place the white screen behind the lens such that the image of the object is formed on the screen.
• Now move the screen until you get a sharp, diminished & inverted image of the distant object.
• Mark the point on the scale where you get the desired image. The difference between the lens mark & the screen mark will give the focal length.
• Now place the lens on a new position that is 10 cm and find the focal length.
• Repeat the above steps by keeping the lens at 10 cm, 15 cm & so on to get more observations.
Observation:
![](data:image/png;base64,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)
![](data:image/jpeg;base64,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)
Question 8.Harsha tells Siddhu that the double convex lens behave like a convergent lens. But Siddhu knows that Harsha assertion is wrong and corrected Harsha by asking some questions. What are the questions asked by Siddhu? (AS2)
Answer:Siddhu knows that the double convex lens acts as a convergent lens but there are some exceptions when double convex lens does not behave like a converging lens. So he may ask the following questions:
• What will happen when the refractive index of the surrounding medium is greater than the refractive index of lens?
• When the object is placed between pole & focal point, then will the lens behave like a convergent lens?
• How does the lens behave when kept in water?
Question 9.Assertion (A): A person standing on the land appears taller than his actual height to a fish inside a pond. (AS2)
Reason (R): Light bends away from the normal as it enters air from water.
Which of the following is correct? Explain.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true and R is not the correct explanation of A.
c) A is true but R is false.
d) Both A and R are false.
e) A is false but R is true.
Answer:Using refraction for plane surfaces: ![](data:image/png;base64,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)
n1 = refractive index of air = 1
n2 = refractive index of water = n
let x be the actual height of the person and y be the apparent height.
![](data:image/png;base64,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)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFQAAAAYCAMAAABTLyrkAAAAAXNSR0IArs4c6QAAAGBQTFRFAAAAAAAAAAA6AABmADqQAGa2OgAAOjpmOmY6OmaQOma2OpCQOpC8OpDbZgAAZjpmZmYAZrb/kDoAkDo6kGYAkNv/tmYAttv/tv//25A625Bm2////7Zm/9uQ//+2///bSE69PQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABAUlEQVRIS+1T0XKCMBC8oxqqtlBTjaYk5P//snvq2AsDBGf60qn3QoC9ZXfvIHrWM4G/lECsT1pussyrLhqujvMuAvP+y/CWyEmHx61qCHl7squOaPBwjD+a+kheqBwYksWhb/heOat/ORP5teKBlFtpZDSgieadQAiluGblK61cwOmzYB79F9K+EbJoXhHDHGmyawoSQaEUKfmrhWn7BP9OS5dJTNm/Ku3bD8lselDyvV2bQ0Y1/yhFWH2jh0CDlZJ+x8PUx1iDDF4GlRzgodQTBl4mhGIzJcQ3i52Ww7ySkFkpDWzBe+SzZJ8WMClIstvDbwvF38Gb8o4+JvSfoL8B4/8N7hTtI2UAAAAASUVORK5CYII=)
As the refractive index of water is greater than 1, therefore y is greater than x which implies that apparent height is greater than the actual height. Thus, assertion A is correct.
As light travels from denser to rarer medium, the light rays bends away from the normal due to refraction and the speed of light also changes in two mediums due to refraction. Thus, reason R is also correct . So, option A is the correct answer.
Question 10.A convex lens is made up of three different materials as shown in the figure Q-10. How many of images does it form? (AS2)
![](data:image/jpeg;base64,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)
Answer:As the lens is made up of three different materials, their respective refractive index would also differ. Let the refractive index of three materials be u1, u2, u3 respectively. If parallel beams of light are incident in the lens then due to the difference in refractive index, all the three materials would converge the light at different foci thus creating three images of the same object at different foci .
![](data:image/jpeg;base64,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)
Question 11.Can a virtual image be photographed by a camera? (AS2)
Answer:Yes, the virtual image can be photographed by a camera. The camera makes a secondary image of the image that is the virtual image acts as an object for the lens of the camera and it produces another image of the image. This secondary image acts as a real image for the camera.
• When we stand in front of mirror then our virtual image is formed by the mirror. so when we click our image through the mirror’s virtual image then this image acts as a real image which can be projected on the film.
• Our eye acts on the same phenomenon. When we see ourselves on mirror, we get the real image of the virtual image on our retina.
Question 12.You have a lens suggest an experiment to find out the focal length of the lens. (AS3)
Answer:Aim: To find the focal length of a lens
Apparatus required: double convex lens, metre scale, a white screen, lens holder ,distant object
Procedure:
• Set up the apparatus near a window so to locate a distant object .
• Mount the convex lens on the lens holder.
• Now place the metre scale on the table and keep the lens at a distance of 5 cm mark on the metre scale such that the mid point of lens holder coincides with 5 cm mark.
• Place the white screen behind the lens such that the image of the object is formed on the screen.
• Now move the screen until you get a sharp, diminished & inverted image of the distant object.
• Mark the point on the scale where you get the desired image. The difference between the lens mark & the screen mark will give the focal length.
• Now place the lens on a new position that is 10 cm and find the focal length.
• Repeat the above steps by keeping the lens at 10 cm, 15 cm & so on to get more observations
Observation:
![](data:image/png;base64,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)
![](data:image/jpeg;base64,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)
Question 13.Let us assume a system consist of two lenses with focal length f1 and f2 respectively. How do you find the focal length of the system experimentally? When
i) two lenses are touching each other
ii) they are separated by a distance 'd' with common principle axis. (AS3)
Answer:Let us take two convex lenses made up of the same material so that their refractive index (n) is same.
i) The first case given is two lenses are touching. So let us define the lens as lens A & lens B and their focal length be f1 & f2 respectively.
Now place a point object in front of the two lenses at a distance of u. Rays coming from the object after refraction from lens A forms an image I1 at a distance v1. Now this I1 will act as an object for lens B and after refraction from the lenses will form an image I at distance v.
Using lens formula: ![](data:image/png;base64,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)
Lens A:
….(1)
Lens B: 1/v-1/v1 = 1/f2 …(2)
Adding equation (1) & (2) we get,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Where F = effective focal length of lens
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAaMAAACRCAYAAABuUNfmAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAFSsSURBVHhe7X0HeF1Xle6yepcsqzdLbnKXq2y5dzuxnUIS4iSkEEIKvIEASYCPYcr3Pt6DYeANkBneMAWSQMILARIc7CTujnsvcpUsWbJlFUtWb1ft/f++OsqVrHLv1ZV0y97hYFs6ZZ+199n/Xmv9ay2fDjTRTUvAxSTQ0tIiv3/7HcnNzZUvv/C8JCUlOf0bfLp/v2z94APx8/MXb29vaWpuQp9HSWxcrCQlJ0lExGiZMX26xMXHy6hRo5z+fXQHtQQcKQEfR95M30tLYLgkUFBQIG+8+YYcP3Zcxo0fL08+9aR4eXkN1+Ptek5sXJz4+vrJO++8I6EhwXLfAw9I2rjxEh01Bj/3lb179sqbv/mNfPHZZ2X1mjV2PUNfpCXgqhLQYOSqI+fB/W5vb5dTJ09KTFS0jB07Vj7evk3Wb9ggcdAwnLlNmjRJnoMWd/nKZQmPiJCvvfyyREVFdXU5JCxc/va735X33n1X5s6bB00pwplfR/dNS8ChEtBg5FBx6psNhwTKy8sl+3y2rFy9GlrRONm+bZtcvHTBZjAytbVJXVObhAX6io/X8JjF/P39JTgoWKLGRElwcHA3cU2dOkUix4yR4uJiqa2p0WA0HJNJP8NpJKDByGmGQnfEWgmcPXNG+VvWrlsnNwsL5IP335e/vP+BZGVlSWBAoLW3kWsVTZJX2SCLxkbI6ABfq6/r7cSa5lapwxEV7Cd+3n2bC9taW6W9vU0a6uulpKREwsLCpKmxUW7fvi27du2SurpaeeDBByU6JmZQ/dEXawm4mgQ0GLnaiHl4fxuxcJ8+dRpaUJykpo6VxKREmT5jhpw8fkJu3rgpEydOtFpCRbXNcgtHLUBksGB0oxrAdqdBMpPCJDYkoM8+jIJfy8vLW24W3ZSDBw9KeHi4VFVWypXLl+XDD/8q6ZPTZeOmTRIQ0Pc9rH5BfaKWgAtJQIORCw2W7qpI8a1bcurUSUVW+LdfvC6tba3S0NAgZWVlanEfDzKDNUSG5tZ2acK1be0dUgJASgwNEG87TXUm3KusrllK6kxyp6EVYNTPSIG82tHRLiEhIZKUmKjMcgkJCUJ/UmJSsmz78EP593/7pbzw0ouSAn+YbloCniIBDUaeMtJu8p4noAHV1dbK4iVLxGQygRk9SubMmSM5V6/K7p27ZPPmzTIGC/xAray+WeqhEbUBHEoBIq0AJXvBqM7UJhWNLVLf0iY1zW24p4h3Hy4oRlK041lx8XEye85saEYRXV2dNz9TymC6e/3nP5f0KZPlqaefHug19O+1BNxGAhqM3GYo3f9FKioq5OjRo7Iwa5F885VX1AszHqepuVmqqqrk8KHDcu7sWVm5atWAwiirN0kNQITXN0CzaW5rF38f+6jhDa1t0oh7QOeROlOrNOPfQb7evfaBZjo+02uUF2KNun9+3vA1+QX4S0Njg9y5c2fAd9AnaAm4kwQ0GLnTaLr5u3z66adC8sLXv/GykJVmND8/P1mxYqX88Q/vyYdbtyqtiT/rq7VDOyHhAPghhJ8WAFFFg0nC/G3/HFpBM78NzcqEe5C4cKehRapwBIX3DkaNDY1SA6YcTYnV1TXKXMdGjenI4cPy/p/+JHEw2yXChKebloAnScD2r8+TpKPf1SkkwLii3bt3y3/96j86zXE7JSMjo8unQi3i6tUr0g5AOAS/0Yfwu2xA3FFQUFCv/a9uagFpAVoRzGmMk21qaZfi2iZJjQi0OfMBry2Bv4h+I1+AUSXuXQmgS+jlyfVg0FGzKy0pldKyUtn6lw8kMzNTTMgmUXD9uny0bbvwnCefekqWLV/uFLLXndASGC4JaDAaLknr59gtARIUmHFh9tw5Mmv2LPEH04wAZDj4SWrwg6b03AtfFprBuLBfxzF16tRen1le3yLVTa10NynwoWZU2QhfD8629YMwwf9TB18R/UQkh5ug4TTg39S+vHqk9Mm7dk0qKspl0/2bzeZBvNeJEydAomhXVO8ZM2fIF5BJYt78+Yplp5uWgCdJwNZvz5Nko9/VSSRADefRRx8VHx8fZd5qRawO/2400rnTxo1TP6O5i8SG/sx0NNE1QqNBWjj+T/1fEwJgSWgItzHeiFoWtSIjtIgAxHijJvysp99oIhhzqWlpXX3je7ThuaoLuI6mx/767STDobuhJTAkEtBgNCRi1Td1pAQIQIZvhfftuWBTK7L0EFn6k3r2g6y5JvqKfM3ARp9RO8xkTdBmKqAx2QJGLVCHyuAvagARwtvQggBsZbgPAa8nGDF2yDJ+qL9+OlJ++l5aAq4gAQ1GrjBKuo8Ok0Bda4fcgYmuqaFeWpsbAQ6B4hsYLC1ePlLVYttjWmBeuwNKdzMALhBMPKa/B1dOAVEtACrOttvps7UEPFoCGow8evg95+VpvmtuapQLuTfk00+RreFajjTX1UhAcKhMylwiEYmpctuvRTpirScxMHC2ETRus63P3KggkWHXCDBS6DQ8Ke88ZyD1m7qtBDQYue3Q6hejP6a6uloqQHbIz7sm16/lyvU79VLWgAwIEZEyJjZeaivBxDtxUJr3fSQnEBuUnRwtj27ZgvpCyUqAvAdrD/VsxBnSwWmi8wHgWBYFo9+IGhP9RgG+9sUu6dHTEvA0CWgw8rQRd/P3JSngDoJjKxEEez0/X86cPi3NCIpNG5cmcUkp4pMSJnHB0RIWFQsGnp801NZI6fUcuXX1oly/cFa2nj8pgSBMrEJGcBIimMw0Nja21zRDFYgnqje1d2PNURFiuUrGHjEANgD1i3TTEtASGFgCGowGlpE+w8klwDgkll0ounkT8TtlKuloAxKqkmU3B3WBIkePBpiME7/wSDlc1CB5FTXSYmpSPiMvaD3Jk2dKQvp0mb54lUSaKsWrvFDeevNNsNsCwNwDqQE06+eef17CkWG7qKgIcULFEpuYAgq3j4AgLqFBgSoTdyuIEEQimurqWuCXAmVcNy0BLQHrJKDByDo56bOcTAI0nxUWFkoh4o+YDoi56a6hBPk0ZPBeuGiRjImMlHiU77YsUFeIzNq3KioBGghQ7UyK2o77mJB+pwPpeQhW6YnjJT0wQ6ZMm6aygJ88eVxpRzs++URSkMi07HaZnD19SuYuXiE+E+ZJe2uVlOQVih9qFAXjepWVG2jUjj+ZYkg3LQEtAeskoMHIOjnps5xAAgSgGzduyDUEj1ai7MJN/J2ANDNjpixZulTuvfdeGQ0QGg1NqLfWDPp2M+jYvXIKoF2R4FBZ4yOBYyJl+vTpMg2ANHfeXCktLZUDSEV0EiXOae5Lhj+pxdsPAa7IL4ebXTl+UHz9A2Vy1jIJi4wWE+7TBnCrNyEpKjqivUZOMHl0F5xeAhqMnH6IPLeDBB9qLgUAnEsXL6qsC8xWwHIR0SjXvRQAFI88bqGhoeror7FUBDNqk2nQIzGC+bLObAz18PMwkJXxRgxEjY6OVkdKSopU4vkXL1xQYHjp0EGpPHBMolPGSVrGPGmDWc7XLwCgFCBlhfmSf+G0tE4YJykblktEaJAiQqgEqcw/pJuWgJbAXRLQYKQnhVNJgNkTSDgg4BCAWAG1Bb4YZuWm74dlFlLTUlXwqC0F6OrBeitvaFa0694AgdqSihFCDFIljp7Br6zIyiMBCUwXINnpn/cdk+079yo2XmBouISjjHgYjrbW0RIYEiq+AUFSUlWr/EYmvM9xlL5gdVrm1IsCkOqmJaAl0F0CGoz0jBhxCbB6K2sU1eA4g6zcuTk5KslpcHCw+nPW7NmKzcZ/90aztuYFGgEKVQCZDlW+oY8r8HPWJGI6n76ar6+vhIX7ysQ5C8WUMEVqS29K4cWzUlFcJLdyLgOYwiRtTqYiQ4RBWwuKCBEfaEUtLSZlVqSJj2DEhKi3kFOPGh01L3vfy5p31+doCbiCBDQYucIouWEfmwBAZdB6alFO4QJMX6xDFINS4iyMN3ZsKphw42XqtOkSGBjokLdvBRg1wV/E4NdR+M8yLsh4ADFKpQti1tN+WiVo25W1DQrUYseOk7jUCUpDugHTXPmtQrly9FO5eHCPpKRPk7T2uTIzNV5WrFwpBF0jFx2TpB4/dkxqAcCPPfYYAC5cmSHr6uoUODnqvR0iPH0TLYFhkIAGo2EQsn6EWQKNTU2K/cYFtwykgMOo30OT2QRQsGejWuv4CRNkCjJt+/dTi8heWTIxKius0mPTF9QQjOhPItGBFWC78s31eGglAlp5jMI5LTDB8aIgaETTl6+TZjDzbhfkSXF+rhRfz5P/PndEVi/OlKkgRMTGxEgsAJeNJIsFCxYoIgZz67EdAzh9um+fPPT5z8scaIOMmSJoMYedzmNn78jr61xFAhqMXGWkXLSfTQAgBp9WVNwBK61ETqJkAoNJyVJbCW2B7LdJyGbdV+0hR7y2Kp6Hyq7Uekgi6LuZf1cFAgNNdb0lTSWQsbIrDxbTUw2g1IZ4JB5eXt6SBI0ofsIUuVN6S1pLC8TUXiPbUfQvCCY5Zu5OAOliGrQ+gq/RqLGlp6er/jGeiY3aIwsK0oSXlZWly0o4YjLoezitBDQYOe3QuG7HSEK4isDTmwgQrUE106Kim1KPHT79PveAfk0zVBLYacF9FL9z9JuzAB7T8xCMfHovwGp+pEqfgIBVsO5IeOgVjJjjrp/4IQa/NtbXKY0vPCZe4mBuXAimOc13hYU3VHG9owCynKs5yOwQA1PkNIkEIBOE0lBegofRqA3RfHcbZA5qSAy+JbU9+/x5VctpypQpmp3n6Mmi7zdiEtBgNGKid68HM/D06uUrKIJ3XZnhGChKfwg1AabWGR05GoGoYyS4s8z2cL59S0e7yqJN05sfDHX9mumo+QC8GpHdu7fWjJ8TqPrTsPg7VVcJJrsqaRHf+DiZlD5ZHTRDshjgBTAFr356RS7iT2pCZAmOnzC+2yN9Ya7MWrhQqF0aZjoSH2jO45/UpEh1LwJAtYIkwVLl2tc0nDNLP8uREtBg5Ehpeti96Iy/DA2I+d/ofPdCoCe1izhkPli9Zo1ijTEDwlCa4KwROesOUSsidbt/aoJZO2oGeLHYXm+ttrnTX2RFNu5RYDjQT1VZ3yShKGnORsDgMRlaze3ycrl4PltOg0FYDjNmQIA/ACtdFgKAyNpjo0nTspbTOBQRfP6FF8QXP6f5jlooWXrX8vJkFvxuGTNnqp9xbDQwWTM79DnOIgENRs4yEi7SD8b8XEXqnf3790sNYn+i4ZTnzj0OjnlmLGAcDhONDgUJwV4R1cPsRq2IWDlQMzDGxEqwvZSAUNRvakZW1IbgvVjziPWNFIvPwl9FgOGRkpyE9EVZyCqepwJqT586JQcPHMDPU2TdhvV3xSSxsCDTHBnND6BFcgR9b6GdvqYaMBQ//PBDxVR87PHHdVzTQIOuf+8UEtBg5BTD4Lyd4CJKfwVjYg4fOqR8HUkpyfC9eMtE7OJnYifOrNbchVuWAneWN2KQa2UTAmmhKfQZX2TRWbPbqANmvVblG/JH0TzLRjMdS0Mw/9xAjZoYyx3RX8UMED7MHdSjeXv7KDo7jxmQJeVMQCotKZU3fv0bCQgMkCVLlkj65Mm9BvkyFx59Tjw4VmzURCeAHFEKU6mhYfGe2dnZshBECPrudCaIgUZP/364JaDBaLgl7gLPo/ZDvw8XxmNwuJ87c1YmpIMFFp+AhXGxTIAfiLtzZkBw9kXNBBMdMyoQFLytQSOa8rCmV8Mc1wgtyBKMaHJrwM/Ukj8wFqlz2vB8EiIYujTQx0a/EAkMY0FOIPHjas5VRVjYvm2bvP27t5F/bwl8S/OVpmOAjOV0MjQvgtHixYthImzHO5vBlOZSH2hRzGTBMWtF+qJc1HfiBoLP6+1+LjBVdRfdSAIDfR9u9Kr6VfqTAAMy6ffhbvoqtJ+LFy9gt40A1NSxcv+DD6oUPDTF2ZKCxxkkTo2EpjWa6Xys0GbUKQAO1inqWQKCfqcGaEzWNt6KiVKpYdmSv5tgETE6QjIzM2U24o1uIDdfLjKS5yInHtl4BCxmpUhNTe1i4vXsE4HJMqtDKq5hjBMBio1/XgHh5BoAadPmzYpeTw2YJj6aD5nton8avLVS0OdpCVgnAQ1G1snJLc8i260cTvRyZELIw0J3DpRhfz9/yZg1Wx5+5BGJAQU7EuYj+ilctVEjgVWty/0zIIGhU+lpxEUkPlg2mudqoeWo4FgrBUJw420Y6xTYw+RnzS2osYyDWY1HJrQakhUuX7osv0O9pTEYn0wEzpLUQFJEfxsFAoslkcTXz1eWr1gu8xDvRX8TG8kof4WviQHIq8GA5P3oD+S11No0OFkzYvoceyWgwcheybnodQQgVQcIR2lxiQpEJeuLqXeeeuZpiYpEwk/Es/j6usfUaIZ9rhVo4IV3tAaIjGGlRkXygWWj2a7GBs3IuJZ+q0ZcF+Y/OJnS1MaD/qMskB5yoC2dAM37CDJZpKSMVZrS1GlTVRzXQI3AYtzPOHcK7st8ei3I/MDfk5HHVE03UbRwJupEpQH02DQoDSRd/Xt7JDC4r8OeJ+prHCIBppGprq5WJhUGQ/Zn86+uqZZrOTDzYPFqMbWARlyuriX7jbtjmm9IQHDHRYYxQSZoJaNsQSKWk8AoEcgsG+9Dk5/VahEupseGGhbLV8T2X+XC6nnBsU5MSlLHApjybgAs9uzaLdv++lc5f/6cSsY6GcBC8LBFqyULkqmZjEZCBAGLRQarq6rVj7mZOQC2HwkcrCFlSTu3+gX0iVoCvUhAg5GLTguW2H7rzbdg46+V5JQkScLCRFMOU80Y1U1vIQPCCaTfYUkGHvQJzZmLNDyrV0kMKNnOyH5z5HBQu6kGeYEgYhV3oWsVNvt6uvLZdV5swv1USiEbOslLSaJgP3phittwp95PJYDQ38OD5TaYbukCWHPUfDugkSWhOm3mwgVqfvTWCDgMUGbn4hM+o4wbGhBZeTyMxg0Lg3arsBniXCIY0c9YglyDBEGy+nTTErBHAhqM7JGaE1zDD7+8/La89+4flFZE+z53wkn4eQhLL+AgOPki/w0Xotnz5kkS/AruqP30NRwEI8YEmXPSWT9oBJB2rM68lqY6f+SbY6OmxPt0MqitvCHMXbiAGhW6oSrDDlWjeW7DPfeojBfUgj/e/pH8+c9/lm3b/iqz4AfMQjn2KVOndPMd0Sf0Dph6rGb78je/0S2Gqbd+suTFl557TgXWGpuZGjAvSaxg8cHlK1aoy6h5j0JgV1hYqEfNuaEaW0+4rwYjFx3lcPoOEOfD7M+07XNhuI7Ayexz5yQEC8aWJx6TtevWylSkn/HURhBoIBEBKBBgE3nAjDgEI/wP9G5zaQn+m0BkTcDrZ5qEmbzQk5k3lGNC0xzHncc5zIfjR4/JqZMnUbLiKDTnRJm/IFMx9bhxKSkulo+2bZezZ8+oWKf/8fWvSZAVZTsszX+khq9du1aBDg+GBnzyySdyMfuCPPX0U2pTxAzkBDBe5+4a+VCOrTvfW4ORi40uqbdkv10Co+rihYvqwzZovK1YBAhETz3zjHz7u99RlUk9uRE4CASGecxat5Gh/TR0akbQZ6AVtcPUZo4xskXLovzZD5IoOpBmyKo0EA4cNAYl87h3470qDx7z2r33hz/I1r9sVWmHmlF9tqS0WLHm3nrjDYlPTJAnnnjCpvgxZoGwTPBKavp0ZIUICQ7pSklEEsQhBE2PSxsHtmaG+nnPrBS9vTZ9VEy4OxGmQg1iDpwYTngrDUZOOCg9u0SyAmNNGEF/7tx5KSspxprmLWMR+8OP/OqVKyAmmMQbi8LnHn5I/uZrf+PxQEQZUiNq76xLZC0QWcqe2gw1IjbGCtWRSUfNyEZTG+sisR+khof4WZGTaAjmZDx8iTwWg3TAjOrczDDt0NEjhxUpgVrRnYoK+dUvf6kyaqxbt87uXjC+ydDMjJuQZMM4tRaU2aDmRKp4Dir60o+ZBhYg8xn21q7B3PhPP/yRCjW474H7NSDZPSrOf6EGIycdI9rwC65flzzUAjoPU0sB/uROkil4tmDnyp0ofQRMTnoFiwtXyM899JC8+tprfX7YTvqqQ9YtakU8ek0yN8BTlVbVCWY8lZpNUw92nbUdJ5yZ4HsyMeBphEO2AgACMzMy1BEVHSUHUS+poa5e5bVjlvCcK1flFz/7mSqHzhpKjmo0J6+AP4mmOvo4qc1Tyz948KAiQ6QAlKoRR0UzHjNMMEiXrbCgUA7hHGp1NbU1sgVVcV0t8NpRMnT3+2gwcpIRpt+HbKgcJCHljjEb2ZzJWmKgYvrUyfL8Sy8pACJTjguF0bIWL5KPtm+X2XPnyCuvvarYdLqZJUBNhuY1a/LI9ZQZtR8qQApA0Gjsa2qxR78ya1Jk1DGVkLNwzQgK58+eQ+bw2yobQwNKUlAJZIzRvj17VLqg5198QRaB9BCFTY9lNgd75xfNd5ZAMgOxS4yNIgAx8e7e3bulEoDEc5ZCg2P5kVPICM9nM9iXIElT52OPP6EByd5BcOLrNBiN4OBwQWD57fPIfJCLOKD8gnypulMJB3KQKp62+b7NagfL1Cx97QbpD3ju+S8rFhOj8HUzS4BmMZXsFGBio1VNXW+Y4hiwytZKDcuW1AuWA4HrqKGRAOEsrRCL+8GDBxCjFoGyE5hjIWBgBgWrjOt+yM5A4KA2QoIDa1Ax/RD9Nv4OzEfIOW3M6zUoOUIfFjdiZ1FSg/R0WgX27d2rCDph4WFScqtEXv/5L0CGaFMakuWmzFnkqvthvwQ0GNkvO5uvNO9AG1TQKWsA5YH9VlhQIBVIycOULKRmP/LwIyp7Mz9Saxy2tMM/88UvOmTnavMLOfEFNLOxSB5NbXbR2XE92XiMNWKjv8fexuzdDHw17mXvfRx5HX02j3/hC0LyAbVpsjNJeOECT02EJmEWTGSm9tNg4tG3w0wPjDlisDSzdDiyXhLvxYOm5wVIcUS/0l4A0R//8J5i4vl5+aFfXjBdF8iPf/RPKhCXmzCGOLCvKiks+q2b60pAg9EQj10bdsQ11VVSAbv4mVOn5RLSq9y4eUMawV6iJsOy09NhruDO0xpKbW/d1R/h3VIhdNA0xoKtvnaoRtSMqBQxPohAwsBZVRPJjvnCa6hYsT/O0pIRe8ajv0bfDokM1FouQUtiADVTEJEVRzr3fNDDSXag6dguwO/j4ZzPPJg3sQbxStzAkZLIDOS0ErBW1jlkmiC5gWDETOTU4ozChToDubPMMtv6ocHINnlZfXZZWZn6SPLy8uXIoYOKDecFGnYidqFLlyyFH2iKotxqZ6zVIrXtRJb97gQQP1vpb51P6uj09ZjTAMFrZHXtiLu7SlI4SQyu2GiymwaqNo8KMO4O7P9UafdbP/hA+TSpyTNmiWBglEcf7HuS3MAUR8wckjI2RW3aWLKd4JOMelpMYUUgZKMZj6xSfm9k7ZEswfAH/puJfvlvR4LlYN9NX9+7BDQYOXBmFCEegj6gWkSks2pnMezt/BBo0li7fr1MQanpyVMm44MNcOBT9a16kwCd8Tzs0WR4Pwa28vpGOPJJ62aOOxbdsyXgtatfzNzdWfrc1UeLFPD7H3xAgQRZnpzzp6Dxf/zRxyqYdhxINsyZx/MG0+hPzcpaKMuWLVPlSxITkxQ1PTg46K7bMgURs4yzDIphOryCcIdtyEC+ZNlyWYdvjxQUalms6cQURhqcBjM6Q3OtBqNBypUOXqZeYS0YluPOh9N1MkBnEijYrEXDD5N+HWv8P4Psir7cQgJt0EJYDI9MOrtywjEJAwCELiPSupmxW93IzjAhgiJJFTzsYfc52+BSA2KhPx75CEGgyYyMtw8AUIa5LHVcmqRPSrer6/RfPYngbWvK11NzIx3csjHh64Z775UYaE8EHn6fx48fl3r8ycq59E3Rz+TsxSHtEp6LXqTByI6B427w3NmzmOCN2I01IIDwEqqgxsu0GdMVFTYB5goCkG4jJwH6aMxMOPu0GYIHNSH6i3gf5qjj3ez9YBj4SkYeiRBBvu7laGfQKg/GCTFbAuPjSHxgKiJzraUEmTlrlmKJWttsyTbe2z1pwjPMePw978fvkuY8kiPYaLkgKSNqTJQsRgVjak26jZwE7P22Rq7HI/RkAhDppndAROAuizvBmOgYlRGZ7B86caORCVs355AATWvNJAzY6S8y3oIgRCIdQcle+oEZ2MxpgWxLsuocsrS2F2Tk8ZgMqwBJOTduFIKmfVaugwF37ly2RKJ6LTNAsGT9cDeCEVMUTYTGZEn4uaUykFcJ4/XYjiHhazNMhBkIqfD0dFrDPUYajPqROFPjU7XnTq+DKV3gKCWbh45U2qjDQsNUeWhtfx7uaTvw8xoRi0L2mr0+I+MJBmehMyvQwA/u6wzGGrEEhcoI4V6aUc9X9gZRJyUlRR3TULSxouKOnDh+TJVNLwGxh6xRVpNljjpmEBnOZkmwoPXiC08+qajhBgOvFP2jqT0uNk6BEX1jTMdFH5hm6Q3tSGkwspAvJ2VR0S1QWI+rMtxkChFoAlTNmHS1qwplcCAASQPQ0E7MwdydAEJzWAs2DzbVMerxUI4x/U71zahFNAgyhHFbsvKosXlSM6rJJiUlqvQ/rBybj2/rANIQscR5RsYsWb5yhaowO9yNGhIJRpZt5cqViuVKVh4bSRHMcOILgKUParDEjOF+R1d6nkeDEcHHhJ1POeiq/EiYZp+Ob044BgKOR+p7puBh3i6q+RqAXGRqAzhYe0gFvA5CNyLRgP/VAoyYDmgwFj9qaEy6as6V53mNGglJA8uXL5eFMGsXINj77JlzivTw+s9/rnyui0EsYOYRR9HD7ZEymXaW1Wu5IaXJjqDENYBrBuOsuFYwzmoe6oSRnGRNBnJ7+uNJ13gcGDEmoR55uBgvQRYc040YcRTcEZF9w3xZ3NFpBpxrfgrUjOjnMTL42PsW9BLxPybxYaG+QZn8GETLUhKeiUVdQ6AsDTDTpaMsOhlv/A6Z6Jdxeb996y214C9Daitm/aaZbKRNY+wPTYqWYMONKska7Bt/Th8yQzm8oGmx3DsBTDfbJeARYEQAot2XiUeZDZulmZmUdBYYPoxjYPp6RpRz8mvtx/ZJ5IxXcOG3i9Ld42VaOoNnB4shKumqKrLnPPnpRnrcaCaLAemHB30zTDPEcunHUXNp184dMmPGTBUmwUDXkSYTWK4LtJZww2oUtWxta8UGt0FlGKd5jxYVmiRvgfTEoFtqhHpdGXi2uS0Ykb5JwGEQalnZbTmD5IvMgkDVejnswmMQKEcHJk1wurmbBMzZF0jJ9kM+M3ubYsEBhRo7K7zaH0JrDqKldkVWnm53S4CmOQIPD6bGKiq6qTLX/9d//KcKFKemxLISCQnxsGSMPAGE4GJYTgIDAlXlXLL1mHCWjbTx//j3X6ky7yx2SQ2LpdhV0lesOdrqcvcccCswYhBbEeIIyIa5hclwG6o/zQCpqWmyDLbq+Pg4tUvRarR7L4dc7o0MDIN5UwNAmHCVwaqD8RmxH9SuBs3KG8wLuci1hrY0ZcpU9d0yL96+ffsUs5UmMsYukdFq6dsZ6VcLDEKiVxxGYx+//o2XuwXWZiM7/zWQN1geg0mRVYLXzpx7I91/Z3i+y4MRM/rSGXoVRcGqkZCUVStpihuDQLasrEUY9DSnsD07w2DrPtguAeanI/HAEfqMijOyvQseewXzNtJ8zmPx4sWqpMSuHTtVphMG1CYhuwnjmZyxdAr9SSRjWLbxyHjOxMn0LbGRFPHxxx+rBLArYK0ZaVPkSE80lwQj2pdLiksk+0K2MGiNjDiCUAy0HqrL4+EYDQH9WjctgUFJgCmBWHCO2RccgCK8F3fCutkuAZrTyWqbCT8STXiHjxxRGhOBiSavLGQ+mYRifM5s9aBbwDIzC019TQAklufgmsZGzYlZIgjA9JV5UkZ+lwAjg7FCjef0qVNIF38B5rZYlElG0kMGoYJeSWaOM6nttn9u+gpHScBIBTTYHHBG5gSWoTCnFbK/8VqCmqdSu+2XXPcrRyFwjBnCH8FBVizrgtEfvB9mvD27diG793QQk1BSHbnqGHzrzI1JXR97/HFlrjNaE0rL0M1AzYrpi/g7Mg0JuEwI686+JqcdLTr6SJ8sQ02Ta6j+eOL4CRkTNUYBTlraOBWYxrLEjizw5cwTV/fNegm0g3XAYFVvaja4bDAgojLUqVw+1j+/rzOVL2vwt9F36JQAs6EwNolHDjQk5ohksUoG1CYlJ8kKUMTjsaCPRECtLYNkybRjZn/6xRhuwkBbakwEXNaRWrVqFRiGM1SxQWpUJEX4gfjhLs2pwIhp41mD5A7Sh+TkXJWDBw4gJgH1UpCANBOBcmlIJU87rDOr4u4yMVz9PUg2cAB+uLoYPKb/3Jjy4NrBQnv0I//xj39UAbRz585VpAeGcAw2AetQC5QgZJkVgv3NQAgKAcpI/EpT3ta//EVlhLkHWSF4DtnDNOm5chbyEQcjAhDNb4wBKiy8oQJR24D8ZMvcs3GjyhHFXQ53QbppCVgjAbLgSDqgf8ZnkHoREc0c+qqbK0ggckykLFm6BJvXTCRovY51pViOHTuqUvrMhTk/HUlcE5GaiAQnV2gEF6Mkh9Ff+p24OWejBYmNAMxyNrQYse6TK7YRASOySOikYwwQqddUsSvgxCOVc+26tSoIjpMlyIIq6YrC1X0eOQk4Cjy0aW3kxnAwT6a2QEIDD8b6cKGmv/mP770nMXGxKHmRJmS3pTL9EFh7rtQYWMtgfZrrDE2I71uAOEpmTScYcZN/EimLQuHWGIcgXFewJg0LGBG9KRzmocrPz0M2hCpkwi6QurpaFeR276ZNKv6H2o/2AbnSZ+EZfdUEONceZyNuiWY8ugEYTLtnz261WI9FJgVmU2BQLc1jrsResyQzEHTJvjN+RiIEfWc0U44G8YFgRNYe19wxkWMQnBvidIM6ZGBE8OFh1DRh/iYGpVITopq8cdNGlWKeuxJnt+OO9KjRHkz5BQUFg2UzZEM20q+pn+8CEqirq1MML1cs3c2NLg/6XhahfhFdAnuRm/J6Xh5IAmfw8xiZA/8S45cY4+RKKXwIopZs4lBkQX/pK18RE9YOakdsJSyJc+w4mMcTZD4q9HLdJWhxXeb7jrS/yaErGxfMRhy3wYBjJdTy2+UgIASorAh0HjKwi/x5ovdIv7gLfPddXWzEhKHDsry8QoH4BJgXXOlDGW5ZGyXHh/u5nvA8mtY/3PqhipdZtWb1XeW+XUEGXHtohWHcEtlp3CDv/GSHchcwNx5/R98Lk7nSJOaKm2WuDz1DXVKSU6S5qRkVbc3LPs18TBR9LfearN+wXpktacXiz7lGD7eWOGgwov+nFkkB6fNhWvW8a3ngxyeo3RMHMnPhQqjBY0c8+64rfCR99ZHxEleuXJH/Rp6u/fv2yiOPPgra6kqV3ki3uyVgAn/axPpDKNzGw1kaGX7O1B975MKFfNfOnSrgdNXu1fLoli2KGOCq2QP4PnQRPPbE44pGfQIph5jdgamH9uzeI9NnzgAwzYAfO1aobbhyCwkNQQby2V2vwDWa7+Tn76dK57AxnOYMFAnKhLn2hnPTaxcYUbWrBPiwKmIOFkmW5KbjjEXnmJ6DiQ5Jw9bNMRLwwQfDScPdyp5du+XKpcuyb9luuf+hh2QBMk4wGE63zyQwyhv1Zbx8sANsR6qVwUUZOUqu9Dt5j2pXsSOu3DgHQ7GoVVSUy3v/7w9y7vRZWbJ8qWx57HEw1SY5pS/CWnnTv2LELZWWlMqhw4eUdeedt99RpCrWLmLA7RgG1OKbdPVGEx5Zecxe0QJtqBnrOgtSUlPk+h4P7TcMCgWDbpmFnHXewiNYdLAzNUkPARC4GKxrr9XL5i+DmbA/2rZN9u3fL2UYsKSUZMXhZ6eZWj2cpXpNzcpMp9DWXb2/nVkzKQ8O1FBNTpoIGhoaFXWTCwHrLPF5W/+yVY4cPiKzsNNZv2GDMilwEnR07nBc/UOxt/9eAJ87DSbJLamV8oYW8XUiMGIGhqAy+P3iwqUN34Vl5L2978vrOO6NML9UlN/Gt2caLJm9z65woWH6LW5CQ0JClRknD4QkZgw4fPCwzAedet36dSpzgKIcu+i3PwrypA+FZryim0VKY6LVh5VpyUxbu3ativthc9QYDmb87bmW86QBGSy66jSpwDxkGaEJE2QHZrc4gVI7gfg7rTKM+ZyCNYZjzFLx9DNZNv6bpAgSQbhG2dNsBiPmgKNJLhLMk1iorowBigWC8qVYLbUNaKui3geb4tietxnGa4z3Y8Q3fWS+nckPHd0Fmug4cchEpGBVZDYWhdqaWkWP9wVYRYIdQ1+dD37ec5I4uj/Ofj9mXahqQvLcO/VSjT+dRjOC4FhCwqcMmZ1LglXlWEet1QQF1tO5UVgg9ZgH3kP07XlhLpKNRlMO5yEPsrS4Jly+ckl8/H0lYnSECkxXqZQc9YIjMOmMRZqgRMIVfd8kOnCxZvwStQVXbVwjuHlmyiSuGT3HyR9rCokeJE7RCsYqvMxmQVm0ozpkG/67C4ww1vQ1DabZDEbcEXzhyScVZVAl+kNnuXPwtLK7Rt4yJmmlijtU4Mv8avTL/f6ddyQ/N0/VRAkI8JeJ6RNlA6KvN23erHYinEDsg6PiawYzqUbyWo5LLT6YY7fqpLS+RXwcqBnx3lyMzAmGzJI2GwEhdwbHIg0RQm27fmopByPh6qwYmLKjAUgOzODNcW+HJsJNC/8cdK2LPgaQzykDI+un2IzeKrqlGJ7U1slAu+/B+xFsuhSWkXC1wFFKbjEXOwGVaXe4QNPy0IDvkYH5RnO592TZik72nbKm9DbefO/OTQ2tM0bFXa71rX1ovbzXYErG2wxGREceRtPJSYd+6eUuhFmLa2pht8VuZvP998mDn/ucYvy4ulN1KKRXBzwY014jpjqT48x0nQs+FyNvHyy2KNqnWHutLQp8fP0C1CLchqqfbS2mu16L3zYL/sUkhkpClGsFWVq+DPO8cVddAWvA7LlzZMM998jGzZtkBuain6/fUAyn093TkwpyciNME11+Xr7SfJIRjrNg4YJuKYscNUA2gxFTrFAb4I7InTPIOkrAjrgPTSPcet//wP0qQJgUeU1a6FuypiaTtDY3SnMjNHYHaUajMN+b6mok/9xJKcm5hA+zRbwASiGRUdIKH2l18U2JTkHRt6VrJCwyGjtngJSFmcoAo8ZGfnKuC0YMnIyNi1fVS7c8/hgWpoUuEd0/2O+QG0Ka5hhnRT+KCRYhaorMdjAYbWCw/Rrq6/mO9FG/+cYbylXwrVdflYVZC4fksVaDERMP7t2zR86D9ki0pBOLkcvr79mgGHS6DZ0EqIluvu8+RRJhQJ5u/Usg0MdbAnw62U6O8p9As/FDeemg0DDJO3tU8k8fk4Wf+4KkzZwrzfV1cufGdTn8wdtSXnxDFj/8tERExymtqZs9Hn0ZKnPucM0JUn6ff+EF5cBnHjhPaRw3msg/+OADOYeSFRERo9XmMNHNv0euPWvWrFFFDakZzcucr0J2hqJZBUa7USfkN7/+tTkYDMDDRbGxsQlc/GOyG2k1Hn/iCXn4kUfceocwFMK39p50Ek+dNs3a0z3+PDLqBlvLqKcQO9rbEI8RKMmTZ0pUQorknzoqk+YvkVmrNkpjXbWkzcqUj3/1Uzn+/tsSk5wmWQ88jvpFbdLRmcjSXQaFZmIentYIRgzYj4mOUcw6lg5nMmfDl+LO8mDIDmndYeFhQ5qZYkAwYv6mn/7kJxIE5903vvlNZRv2hr2c9WJWrl4l//j3fy8//eefqPxH98B+7Oo7P3eeVPrdBicBM0GB9Fdv+IfMhBHWTiKNOSohWcZOmyWH//iWVJcVK+ev/hYGJ29nu5pawgwEwDKEZeLESV30bmfr51D0h6QFznMjS/hQPKNfMCJzgiwuxgz94l//FdG7c7r6QCbzeHDuX/zqV+Tlv/ma/Pd//qeqsJiQkDgU/dT31BJwCgmQwGDEcnmDsOALZqNXnY9UFBdJUc5FCY2KlsiEsawv7tLUZqcQthN2glq3L3yFXJTpR7I3wNMJX23Eu9QvGOXk5sBHdB4BlVMUc6u3Ng3mo/EIej186LCq367BaMTH1OM7QKoqeQuOipH/jMhtFu2ozpiyYhAZLh3YLXduFcmNnAuSn31KMlbdK+PnLFCLlacHILvjROxQdbKwIXFg0LI7ysmed+oXjFg1sR7skRkZM/vMPRWKSGw681gGl9HKnhZvZI/Q9TVDLQGWHDebyQZbdpz8Bx/8H4v1qXgMxmiAWcd5nge/0Z2iAmltaZWgMdGybMtzMiFjvoSgFlerond3j+BgfxztyxpqSer7awkMlwT6BSNlksBHFwgWET/A3ho/LnPgFCjfCLob7Mc/XC+un+PeEnBc8L/KboqjE1jwd8YREVjm3POgZKzeJPXVlcg+4K9ijdjaVUBkdyDivxiA6+cGOc3ce+bot+t1nce8VZupzvlLXKAbh/ntGHDvCHp7v2DEgFamwchDGgzy63vLOUQAamxqVNmIybLROz89mUdaAt6Yi7TttzE5qQM685m5jx8j72g23AWGhksoNCICjSI3dPoR+nqkyuDgHHlbHSAVz70Fy9p7UiOlm3ns2hC0bZByCEYM9TkDmvsDDz4ok5G3brCtXzBifQtG3O7bg5oXOTm9xrgwT1PB9UKZhIy9EydOHGx/9PVaAoOWADdvzHTOAG0jYY89N1W+p06NpqUzyw/TwNAEx0wLJmzCeLSozVinBtXPg5Qfy7PWMXvE7tTXsBYQtYORqPczEoJhyidWjD1//rwUICHuoQMHJRmxVQzvISBdvnRJykFzd0TrF4yoCX0OZQrOnzkn7/z+95KOEuEsqmU0Znb97ZtvoYZRrnzv776vKI+6aQm4iwSIGz6dAOKNshQNSAh64cAuuQXigrevv/p7WEy8xI+bpDSmdsQV9dcIbI4iVbiLjF3pPbg5YU4+VkytrKpUma3dPR0Xsy+U3S5DaY3Fqm4VAaiyslKVDJoC8hrjHx1VhG/AOKP169dLDSKP30A6iNd/8Qu5d+NGVduDHdq/b5+q+fHUM0+roFdPCABzpY9H93VwEuDiw6zf/kgF3twxCj7RZsQYjZJpyxFPhz+ZNJX+IvqIvP37/5ToU1U7aqYV180lJXD18mX55KOPVOZyllfYuXOHbNq02a3XvdGoznDvvRu7NEG6ZYzcpJzJTKLq46CKBQOCER/2eVQWnThpkuzfu09+9cv/q9CRvqT4+AR55bXXZNmyZR6Rn8olvyAP7DQ/EprqBssV4DwHiU78+LE1w1EbFCxTF61EklR8NgAjRVRgDRgVBN6/VkRg88V5/g76cD1wWEf0lTkXmIngASQo3oTUXIwxiomNdftYMhITLMkJzMLTZRkDj4C1jqgdZsyaNejy7AOCER9MjScTFUWnQyVjLSPazZmhmBl8aTvUTUvAuSQA1hoWfh8QGSwy4dvcRYMP5488d3QJEYR8/fw/c0Ph7wqwGFM0EH0PN6PJz1mK/dksDA+/gD5B5oVMRqVXyzbguLux3EhqMzWbhHlLaSmLBTgPplkFRsYDuDPgoZuWgLNLwKg6NNh+knAQCDAiS7Sjg+lQ7KteY5j8fLWZbrBDMmLX95beyZNTPjEjz7/8/GeKvMNaT4NtNoHRYB+mr9cSGA4J0ExHDQTKEYJV7efTUdkheIT4eZsp2X2S82CqgxbG1tdOmfdijFEAMorrpiXgDhKgxcyRPAENRu4wK/Q7dJcAgMPf1xuA5KUyZ9sDRwbu+APR6OtRpbzv4h6wGiZpvkya6oUU+8i6AF9Cz2CiLoo4gM1ZyqDrKaMl4GwS0GDkbCOi+zNoCRAzArDwE0TaW9oAJHbesjMVEDMn9Bas6g0Q8oHfiLFGlSWF8Cl5SxiCYAlMDILtap0VnF0hxohsKdJ56QvwRkzNGGTjZ0wN/QOMOSGllxH37t5akFmAvpCYmGikQtN+8eEYbw1GwyFl/YxhlwDNYX5AIfs8PJ91N8jPS4JgpqOriMw6Jr5iXIUvUmS1IyK9ND9Hzu3dLrcLrsmc9Q/I6LgEZGJgGi2LVwao4UcqHRDJEM7cbt26JW/++jcqsn7piuXy7LPPqmJq27dvl7d/+1t5/sUXVakYd2+MIfrnf/oxSuOMlqeeehoB/RMUaUu3oZOABqOhk62+8whKgOY1xgeZUcF21Uix8HBlkJ+PAhCVJhXqkT8KHfLPqtJiyTlxSM7t2iq5Jw5KeEyizFp7n4olMmq+GP4j9oDZIOjoJSA5cyNNl/RdxtEkj03pykXGWMMdn3wiU6dOk7Vr1yptyZ0bxy4bVa0vXriIyq5nZeOmjXIPYix1YP/Qjbp7z6ihk5u+s5NLgOQFpgQipNgFRwo8AEaKSWeOEfL26pDaO+VSePGMnP7ofck/cwwlx2ulFQkjg2DKCY6MUrFI9dVV5gTDyF3nhzgNE9IHme5USQCAzdkbK3quQpnp3bt3SwpSgQUHA3zRWPaeZWJaUUq9ERn63T3zAIM9IyELbi6OHjkily5elH379iMP2wOIq1yOcuO6bpuj57Lzfx2OfmN9P4+QgDcWEWKR0kjs0Izo8SH7LRgmugBoAf4w+5Vdv6IquV49uleaa6qVHP0APt4otkZQyt69Tfmn4sZPVs+8cmQPah3dREmJaJk4d7GUoO7RO3u3wmTXLstXrETex2RoGzuQXqZYnT8BuSAXZC2UC9nZcuTwEYlC4uFly5cpX9Se3bhXRYXMmz8fAYYZQp/GwYMHJTcnV1JRDns1AKSg4LocOngI929T/05ISJCPYF4rKS6Wcag5tmzFCtXn06dPy8njJyQ6OlqWIK/YmKgx3eZEXt41qQagJiUldyaGFZV1hbknWwCslgXl6Eva8fEnOL9aZqJfc0D3PX3ylJw6fUqisJivWLVKmflu3rgh+xA0T4BfmJWFxTxJDh44ILlXc5BmbLIsWrxYrufly7Hjx9RorcR18eh/TXWN7NyxQ6oh7zlz50pGRoYcP3ZMss9nq36vgZZGcNy1Y6fKkEF214KFC9W779+/H6nKrqny4AsWZkl+fp4cO3IUsWK+sgKyiIuPl4ryCoDMXqlCnMz8BQtkxowZcuzoUbkI8KkoL0coS5AK5mxqapK9AOjD6HMW+vqt115VsZe6OU4CGowcJ0t9JyeSgDkpqf0+I5XFofMe5tIPoIlzIVYZFJARHIlS/QKpNbAMOeod4XfFuRclOX26xE+cpmjgZfm5UpB9RqJTx8uUzMVSW4ncdqdOQbtolYzZsyUZ/11FBHtOzlXVV5q+CEbFAA/uxlMAMnPnzVULbDYSVd7Agp6YmKjAiBkAruXmYuE8AgJFk6xavVruICD9lLq/SeZjoeSCfPnSZcm5ekVZKw0wuoW6Y0dxXWpqGhb4OTIG/xmNJsZc3LcaJIb4+M/yUNYiLx/fPR1Aa6SD4TUsI8C+lZaWKnAgGN28eRP9P6pAksBDMGIKnVMnT1CqKptLLHJc8jmHkU6Mvhied7v8tpw6cVLJk3nQCEasCHAe5rLS0hL0J16BEeVw/NhRlcR5OUCF/p2z8HHVg2ARiNLgLAnOAMwcAB2BJcA/UOYDxMvKypT5kf0nsBGM6hvq5TwqWRcXl+B+YxUYFRYWKtBipmoDeH0Q8NzY0Ih7+atx4u907TbHfvAajBwrT303J5EA/TPUbEjJticLg0FAoKnPG7WMAmGmS5w4RaK+/E1JX7BMLh3aCTPdcamruK3qG0XEJcnCzz0p6fOXIE1Qi8rKMHsD6h3Bj4SsdACnUTJj0nhZP+1VZTakGYhty+OPqTpgbEEIHGS/sxYtQgLKqQAhP3Uef/bCSy8qbSgsLEydy906kxhvAJmAC7AX+kcN4FuvvqIAMjLSDDBfeOpJdX/LoMRlICbMmoP0Lbh/RGc/jGHjuYUFhapcTGJiQtdo7kMeyha8Fxd1y8SYPO+Fr7ykADYUJWfYVqxcIXMAon4AmdFg47FNgFb1yre/rf7Oa5hihvksmeuSpkC+zywAdBo0OG4EjOtoNnzpq19V5sHQznenNrQQ2o8vrmGZmyD48b728suqAitlRfDj/R/dskU233+fhMAHxn8TKCeMn6DAzpA/Ac58/9aubDJr163D/bPkS1/8ohSB0EFACgoOkQ0b75H7739Ali5bquTmyQGvQ/GZazAaCqnqezqFBPyQf4cpeOzxGRlkOF/4jGjyC/Q1Z2EIiYiUmSvWS+rMOXINlV6z934kl/Z/Ii2mJgkIDlXakqmxQb1/QFCIeGEXbWL6rI5WiQwLkbgIcwE+o3Gx7dm4wPKwbDSTWTYuhFxQjUWVvyPg9IyEp6mvZ6O/py+fD3f7NMUVIzv1jh27FE39LDSHw4cPy/oNG2Rsamq32xGYevaNoGEAh3EytREu/JYtEkDFw2gEFR6WjVpITGz3dycgG6DMc9mH2Li7U9FEjsH98Z/RSMywzK3Gn1PrZI45y0YwY38J/gSprEVZ8rmHH5E169ZISnKKBqG7ZpRjfqDByDFy1HdxMgnQxBZA0gGsaiwZbjOjjjFGuIlBxA4G+YCVj03NjcpMEzZ6jMxafa8kT5kpiekzpPR6jjKXtTQ3dQW9qtLj8GO0YIEPC/RDWiHnZtJxCLkIk6xQBFPbW7/5jSoPk4h8bBs3bUIZgSUesxDTDzV16hTlk7oP2hVLJVj6ypxsurtFdzQYucUw6pfoKQFqDiFw9PijzlALTGa2chgIG6SHGxkT1N9ZcrwzMaoJ9xwFpItKSpElDz8lVbdLoRUFqCTC3cw39NiDDcGYJ0U1d/LGBZdxRKzcSd8JwYkmtsEmwXTy176re9SgXoVZkb4tSx+Zq72HK/VXg5ErjZbuq9US4LIf6u8LJtwoqTHZphkZMUY0zRlxQfx7T0BjmXETdtDeYNpFJ49VQNQOYkPP/HQqSSp9WE4e8GoIl4QCkgx4eGqj+a6nSdJTZTFc763BaLgkrZ8z7BIgHZulJGxWi1SAq0gw89t1ajMqNx1bL7hGBpoR6NrbSxKc6G8ioUI3LQEtgd4loMFIzwy3lYDKKceMCDZmYTDwhjFGfp0ZE7xUxVcvMTGvj42NQMSgWa/OzN42Xq5P1xLwCAloMPKIYfbMl6Qiwszd1Gl4WJunjthFXxFz0pFJx8aSFKxrVNtsm6Kl7kUyRS9mPs8cFf3WWgJaM9JzwMMkQI0kAGw6m1PUdaJXoEWJcNLEQ/2RhaHenO6utyzevYu3Q6UloslvFOKVbDcZetig6df1WAlozchjh979X5xgRO1GlZKg38ZKSp0CGxyWVVlJE48IQNbmUaBu29DIKieJIowF+qx8vg2316dqCbiNBDQYuc1Q6hfpKQFqRKEKjEZJYwtJBNbLiJqQZSE8muuCQYjgPQy2nTV3o4dJVYuFVqWbloCWQN8S0GCkZ4fbSoCaUUSgL2KNvKS+w7qKr4ZfKQjAQ8KCZfOH3+cz2rb1yEYihS437rbTTL+YgySgwchBgtS3cU4JBMJX491ZZM8qEkNnUjpmXOhZCM9HlQ1HeXGV0cG6xtsRFEkz101LQEtAa0Z6DnioBAgERrJUa0SgKAad5r2emhFp3qxvVNNsfUYHAiCZeLaYCK3ppz5HS8DdJKA1I3cbUf0+3SRAECAlW/l6rJQNASQIJjlzwOxnzR9aFhl1NaZWQtaAd+uiiOM6DUYDikuf4OES0GDk4RPA3V+fcUZhSAvk49VkZtQNwMkmYBFEAgAgPfEmGABFRt3NmmZWhBgQjsxpgETC/X2QPXxg8HL3sdDvpyXQnwQ0GOn54dYSYILSMYEAA2g5za3tA2soQBBqRD21IgqJ6XxCbSgd3gFdjM+NwPOZwUE3LQEtgb4loMFIzw63lgAzaIcG+Ki0Pk1W2Ol4SiAAjHFFd7WuZKc4ywrVyDDThYBerpuWgJZA/xLQYKRniNtLgEGvjBmipsLA074wyciPQPAIZJ3xXhrjj/yQmYGMuoF0Hd6PgbY9iRBuL3D9gloCdkhAg5EdQtOXuJYEaF4jINBt059ypGKIkHohDGa1kD7MccEgQzCQtqKxZUD/k6qJhPN9Na3btSaM7u2ISECD0YiIXT90OCVAv1EYWHC360cNSGLogPmNsUm9+YzYZ4IU71UOMOqvGfFFoWTSaX/RcA63fpaLSkCDkYsOnO629RLwh2ltNFhw3mDUtTFgtR/7GnPS9Vd3iCy7UD9fMO4a0YG+b6RMglDFRiMDhJ9m0lk/WPpMj5WABiOPHXrPeXFmTYgMAr0bGlIL6hExZWlvjdoMfUKqqmsfjb4nloPoTNTQ53k0BzLYdbRi8g3kXfKcsdBvqiXQlwQ0GOm54RESoNmNZAKDpNDTd8R/M6lpEDSfEN/+Pwv6geiDMggRvQIb9SZgUJANVHCPGAj9kloCfUhAg5GeGh4hAYJRILSeelPfbDrqL2EIUA0DFbyvZj4HgAUSQ1VzK4Jp+zgT6MZAV/qrdNMS0BIYWAIajAaWkT7DDSRA0xuzJ1Q0tPZOYmDoEP5j/SOWG++v8T7hqNp3p4kkht7Bhj9lyQlm7NZNS0BLYGAJaDAaWEb6DDeQAEtCRAf7yfVqkBhUob3uzUgDxNpDA6UMCoA6FARTXl/Ju41kq6ODfFA6om//kxuIVb+CloDDJKDByGGi1DdyZgmQXk2NR5WR6KX6N39EPxBBa6BmLglBH5Q5buku3UeVjRCJCkYtpd4yOQz0AP17LQEPlIAGIw8cdE99ZWZioO+otZ2F9npoRkCoYPiLIgP9BhQPgYZ+I5r+TFCPWKLCspnJEaju6uur6N26aQloCQwsAQ1GA8tIn+EmEggBUy4CgNNgauum0SgTHQ5zVu6BNSMjfogBsAx+7clRYCYH+opo8tNNS0BLwDoJaDCyTk76LDeQAFlykYj7KalvViQGS42GAELNidRua1o4ylIQjErrTSoJa0+qOEFP+4uskaQ+R0vALAENRnomeIwEaKILBYiwWfqNmDyVPqUAst+s9PFQ62HwK4OJLIFI/R0KEckS1MR00xLQErBOAhqMrJOTPstNJMC8c9SAWNvIaB0AlCA/f4kKCbD6LQlaPD+wqkla29q6+42ASOHQwvytIENY/UB9opaAm0tgUGDUho8w5+pV8YGjdty4cdhdahqrrfOlXfGDQTW2kJ3KHs0NtnZ+2yrOAc9nsCqzbje3gsTg5S3tra1SciMPuet8ZHTyrAGvN06gN6ixrEiqCkskIDpBfIOCpB3fg6FxBRKItMuoT3lyjptMJqmrrZUaHCEhIRIVFaXm/K1bt8QXa4rxb6sHRZ84KAlwPHJzcyUwMFDS0tIGdS97LrYbjEpKSuTdd9+Vre9/IE8+/bSMHz/enud75DV19XVy8cJFuVF4Q8JCQ2V+5nyJGD1ayeLixYvy6aefypLFi2Xa9OkeKZ+hfGn6jHiUN5izbo8a5SXFVy/Izh0fSMP5VfLEE09IUlJiv124ffu2fLJ9u/z5g60SPjVTMu97VN1HxEyMYGE+Ur9161sCra0t8jFk+N//9V/S0tIqL37lK7L5vs0KmH78ox/JraIi+eGP/wmL4jgtxmGSQGtLi7z7+9/LkcOH5aWvflVWrlolYWFhw/R0O3xGFRUVsmPHDvnTe+/J8WPHpb6uTj6/ZYvexdswZOW3y+U3v/617N+9Rx5/8guStXhR59UdaiK8+847Mh6apgYjG4Rq5anMuh0WQPo2sm4DObxRKG9Ue7vczLks/34lW44dOSwPPPigrFmzRuITErrdtaqqSo4cOiS/xwd7cN8+JF1tk9Xpc8QPu3hzM0cdRcN8F66eoVtfEvDx8ZUZGRkSFhEuJ44el1ZoqGYRdmBNqcd3cESu5xdoMBrGKeQNbb62pkZ279wtJSWl2KDtkIceeUQyMzMlCJr/UDerNCOq1BXlFXL48CH569YPZT8+xNraGqjZLRIQECD+/vrDs2WgkpOTZfWa1XLowAEJCgxSJgq2xoZGyc/Lx79DJTEpyZZb6nNtkABNdQHM4I1rvLyRVdvPT3z9AqSu5o7aDJw7exYf4k556OGHoLVmih9+fwka63vv/kE++fhjqcMGrKmxQcIjIiQyLFj8UVKiCT6oDppcYW6NDgsCUUKTF/obEprjaAqaPXuOlJWUSXxcnDo9FJaCF77ykhRBM6qqqrRhVPWpg5cAgrn9zev5HSgd7//pz2pTsG7DBtm8eTM2x9PU+AxVswqMKisr5c0335Rf/uvrUnmnUgEQD298yF4wT/ADHjNmjCxdtgwbmw7Zu3u3NDQ0qF3n3PnzJTkpWY4eOSJXc67K+AkTZPGSJXKjoFBOHD+G+jLtsmz5cklMTFRa1q6du6S6ukrtmmbNmiVnTp/G4nBORkdGyqrVq9QOaucnO6TZ1Cwzcc50mLIaG5vk2NEjkpuTK5PSJ8mChQvlxo0bcvzoURmFxYHqZkhwsHy6f7/cwbuwjzOmz8AzZsqpUyflwvkLuP9oWbd+vVpouCOg/Z/Pnzx1Ku7fKIcPHZaC/HyZNDldLVDXr1/Hju6Y+AX4y4qVKzGA/nLg0wNSWXlHjVUGrp02bZocP35cErHDTsD7GY1y8YfDnO8eFR3d9XO+RzlMQKNhsovt/Dj7Gvjs7Gw5j0XTFwvl2nXrUE3UR3ZD7rUwc7DNnjtHJqdPVmNz5coViYuPl+WQM3f3e6GRkT02d948NR68hu93EzKbMXOGzJ4zRy5fvixnz5yB/ThI1q5dCyp0u+zfuxfyqVf3n5c5TyZOnCQHAah51/IkPj5Oybm0rEz27tkDVpqvzJs/T8aNHyc12G0dOnhQiuELmDEjQzJmZ8jlS5fV2IaFh6txbYGJ4ADMk/X19Sy2KvMXLlCm3/379ksBZJ2YmCCroK1wXLkZojaSiXEeO3Ys5ku1HEA/qHHOmDEd7zBTLl24IKdPnYZ8o2TZihXS3Nys+lqL90+amiFjRqdIcW2TXD6yV/LPHsecaFNzGhMGQNOETddW2Yf3eObZL+IDDJO3f/c7KSwoUMDE87y8QlAfyUsKs0+KX2SsJGVkSkh4hFy/cF52H/1Y8iODZSXeixuNvXv2ShnkMnXKFJm/IFOZYs/i3cnEU+8PuXGOcV63IyCX8p84aZIau0uXLklaaposWLRQgoOC1bicOo5nYsFYsapz3mFeU+4z8d5z5s6V8+fOCecHG82/6zA/+N3u3on7c+zwTU7AuPN7yM3JkVSAQtaiReq92LdTx09IMPrN79IHaY8ot1KY5dmvWbNnK7leuXxJ6YGR+C45/8rLy2X3rl3KZ7Ywa6ECGs4Djt1Y9H8RtH/KzrJx3AjyPpi7sXGx6lcEqaTkJHVEAOx7ay1YA06ijxMnTkCfA2Xnzp3SgHnjDfMov7sJmJeU3WXKDhYGWh5ul5ZCqz2Mb65NFi9dIikpY9W851ziNzcdspsL2Z2D7PhdBQeHyHoswm1trWoD0oT5Y6wZ9K1wPaPsaEak7EpKiuXwwUPY3HjJEqyD7PtBrAe3y28rmUydNhXAa5bdRcxNLurrN6xX993xySeYnybId7ZMxXrD+x86cFAKCq6bxyYrS4rw7XDzSrBg/2k+4/dCSxXHYcYMrGc4Tp44oeYIn2+sZ7uxpnL+c9zTsX7x/p/ivXlPjtMiuAT47e/D933tWq4EYey5npETQHPpL19/XT7a9lf5zve+Jw899NCQcQOsAiMu3rSjU+gc5NqaWvVyXFQp/EIAy9nTZ9SHQJ8tFzEuer6+fpKMxSIeC2EOBo7CbEc9GQqXk/c4JhQHOyNjlgIjDgwnQ3HxLbUgEwxu3rwpRzDwSViMFi9ZpAbt1MmT0oCdaTQcngQj2p+vXrmqTCiczPPmzVcfP82IVD05CPwQLmRfwP1uqMkROTpSgRH7zolFTWTV6tUKRE+dOCkmLI4EBIJRCwbvChcB/Jz340fJ+x8FAHKx4aLOGXHh/Hm1o2OLiYlRYHQdAEYgtAQj/p4AYcL78qMzGneCXHymTJ6MjyG4LxxSPy8uuqXeLzAwQJYA3DvgdDwP0Obkp6koISFRgVF+Xp76CAmiizB+XAAIkCRMJKekKDDiQsjF+9y5sxISGqI+6OKbRTBZHVW7/yWY/B0ATm4KOPm5iKaMTVFglJt7TW0E0iely3Is+tUY92MA6QAslqlpYxUYNTU1yQXc/8rFS/iIwiH3GUpOR2ESi42NQ7+y1Nhz3lTeuaP8L2kTxisw4gfP8Z6Cj5lgxHnFftHJyucTjAge2Zg31/OvS3h4mDJv3sC8OYz5MDY1VYEWNzq8PwHxwYQkiUyaJMU1TXK7IE8qi24o8xDnRUuLSWg7H4335kaK8qFJaR7GmL+7XXYb42ZS855zrbrsltzOz5X4qbPF29dfWqBd3byA9wjyB2DPx6aD8y4bH/k11WeCUQnmN8eAje+/DIsX593Jkyfw7FY1V/jca3Am85sxNTXLnHlzUY9CcG0xxv2YBAYFqvtz3mWfz5ZcLCIRADZ+g0U3bsoJzA1+t7wXTY7cZPF74wWU2QTINgebt0NYQJtxf34jBCP6gvm9EWTm4plc/M6fO6/GISo6RoHRjcJCNfd4f2r5a7BZqcW8OoF3ogwnTZqoFrmrmOOnTp5S8srEe/cEozsY6yuXr8IcGt/lM6VMbsKXOnHiREWKYuOiyPlqEHq4UczHd8XruNk8x3mDTSbHiZsuJTvIm7Ljt0ufLDehXKgJZFPwXRKM1LyB7PiNcFNAMKLsjmJ+cXPNzQTnwmlsHGpr67rWDG6IuZ4dBmDQ30XZUZM4hnEh8YKgQLMWv+U83JtyCgsLVWBE2R3DJpmbJG7CmvDtncb8rodVhNohwYjszKtXr6C/5nWIm98KrJfsVyi+z+nYMAYALAhqBVi/OKaRWC/53ILrBeq8BGyAV2Pcubnjhpumz+SUZAVGlCc3gxewEeB8W4j1mONO+fA9/CBHnsP1iX3nd5i5MFMiIZN2rANDRVSzCow4MJ9/9FGl+XCXsO3DDzHQh5R90Q9Coc/oqaef6lo8/+4f//GuhfTZ574kPIzGycnDsvE5f/t33+/2s01QD3lYth/88H93+zd3GV9+4Xl1GI2Ax8OyffPVV+7qF/0DPIzGSUTHqWXjRH3pq1/p9jMCAA/L9sq3X7vr/o98/vN3/YxATtkRhCfgozMaPzA6xx/E7oOLWH9t7fp1wsOyffdvv3fXJY/BIc/DaOnp6fKT//PTbucROL/+zW90+9la7Np4WLbv9Rgb/u7pZ55Wh9Gm4GP6l5//7K77f+uV7rLfcM8G4WHZvv/3f39X/3vOG35wP3v9F93O467629/9brefbdy0SXgYLRoa6N/9wz90/ftQIUxAAJOlW74koZFR8sEvfqDGJJiEEmiVm++7Ty2yBquIu1ju/D/8y1/Ux34LmwE/79Fy30OPysQNW6Sgql6qystkVtYSWfXUAxJhYaV75bVXu/Vt1eo1WIjWdPsZ5/CPfvzjbj8jMYiHZaMWzsOyvfqdb3f794aN9woPy5aalio//ulPuv3s2S89KzwsG7U0Hpbt29/9Trd/3/fA/cLDso3HPP7nn3afV8+/+OJd42n5A2prdTD3xyfMwSYiXP2Km9RPoClMgRZJIOUu/uOPPlLAcQ/eiZs/7tofe/yxrlt9/x/unjdcjyzXJG5seVi26JhozJvu78Zn8LBs//MHP+j2b64Rz34J6xkOo80GkPGwbF97+et3vX9P2YVg3H/wwx92vz82LT1lR8DjYdm+8a1v3XX/hx55GH6eh7t+zs3C/+pxf26Kvvq1v+l2La1JPL7z2muyHxpzRMRoNSar167BWD8gS5cu7XIn9Duog/ilVWBk3J8aztPPPKMW+Y+2fwSb4p+UOaARWopu1kuA5gEuZg0N9VKNBXAMdkfUtHbB3EBzlQ+YWNypcNIYH6n1d9dnWiMBloEI9GmWppZmGdXShMp6bWo3vuWJx5UGRtCzbNQUHqYzFxuoPTBz/u6t30pB3jVpa26QCJ92KcYOvQFaQSi4DP7YPcKGZ003PPocmtV8YGmgpvchzKJcOGlq9obZjgsvtQyCETUAagkr15jNnroNjQRoIaGmRg2WJveN922S9evWS0ys2YQ61M0mMDI6Mwm7ax40OWzftl2Z4YZSfRtqIQz3/TnYVHkPHToob//2t1CdJyuzpx/MJEEwv3zwp/elEKaKe+65565d8HD31V2fFxfip+KNGrDjTouPlhdffAHmyKWyCNpuf/FdNO9wQ5YBf+VB2OxT6NsAGLGIHuNog5EiaIBySO4qUpvfi/6QJyFLMnPfeOMNWbBggaTCrEqfMs32bPxW6PehTywEfhzdhlYC1O6+n5iktKvhDtexC4wMcVBDotOUdk0doGn9JKFJ5qkvPgPb9niVI43OSFK5SWaYC38UGXW0KRs2c+vvrM+0VgIRgSjvAOXFC4Gv61avkNQxmyUAmqi1jb6T6dCe6qHlNnn7i1dHs/hCOyJTb6hs6tb2zVXOo9b/3Je/rJilJJ9w/tM8Z9moGbHR30LznG5DJwECP10W1D7JBxjuNigwYmfpaO/f1T7cr+T8zyNwk1nFgxoR2UTG4NNX0QpShw+YiroNnQRYkygYMUeMO0qMjwHV2/ZncdzC4Tj2bWmDeW6UmBBMywSpOvGC9bIkaWLKlKki3TGo6wYkrJSBCUfrgd7wWi9Xe87kGjSSbgG94tkzag68prfdngYiBwq4n1ulRSLGCyjkzfpGg9gJBsLHFwX2HM10oQAj3RwjAZr+ycgrAAONAcjcuGntyDGydca76C/HGUdF92lYJJAYFiDxof7gGgxOl+GOPTkiUOW3YzVZ3RwjAdKLuVOn6YjUZYKTbu4rAQ1G7ju2+s0GkAAxiOY6RzQSIuAwcsSt9D06JUAzKGPGDB+ckUBYC8g9JfD/AXQMv0LAQBLEAAAAAElFTkSuQmCC)
ii) Lenses are separated by a distance 'a' with common principle axis.
![](data:image/jpeg;base64,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)
Let O be the point object placed at a distance u1. Rays from it after refraction from lens 1 alone will converge at I1 at a distance v1. But lens 2 will converge it before I1 creating the actual image I t distance v.
Object distance for lens 1 = u1 = OC1
where C1 is center of curvature of lens 1
Image distance for lens 1 = v1 = I1C1
Object distance for lens 2 = I1C2 = u2
Image distance for lens 2 = IC2 = v2
where C2 is center of curvature of lens 2
Now from the figure: I1C1 = I1C1 + a
using lens formula: ![](data:image/png;base64,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)
Lens 1:
=
….(1)
Lens 2: ![](data:image/png;base64,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)
….(2)
…(3)
Solving [1],[2], & [3]
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 14.Collect the information about the lenses available in an optical shop. Find out how the focal length of a lens may be determined by the given 'power of lens. (AS4)
Answer:An optical shop consists of different lenses according to the eye problem a patient has. Like a myopic patient uses a concave lens while a patient suffering from hypermetropia uses convex lens. Old aged people used bifocal lens and so on. People prescribed a sphere and a cylinder prescription have astigmatism of the eye and can be given atoric to correct it.So the following lists include all the types of lenses available in an optical shop:
• Plano convex lens
• Double convex lens
• Plano concave lens
• Double concave lens
• Cylindrical lens
• Achromatic lens
• Aspheric lens
• IR lens
• UV lens
• Atoric lens
The SI unit of power is diopter (D). 1 D lens focuses rays of light at a distance of 1 metre. Thus the focal length of such lens is 1 metre (100 cm). So if power is given then focal length will be:
![](data:image/png;base64,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)
Question 15.Collect the information about lenses used by Galileo in his telescope. (AS4)
Answer:The Galilean telescope consists of two lenses- a convex & a concave. The convex lens near to the object is called the objective lens & is of higher focal length. The concave lens near to the eye is called eyepiece and its focal length is less than the objective lens. The parallel rays of light coming from the celestial objects form an image at the focal length of the objective lens. This image acts as an object for eyepiece and after refraction from eyepiece, a final erect & magnified image is formed.
![](data:image/jpeg;base64,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)
Question 16.Use the data obtained by activity-2 in table-1 of this lesson and draws the graphs of u vs v and 1/u vs 1/v. (AS5)
Answer:Let the focal length f be 20 cm. for convex lens object distance, u is negative.
using lens formula: ![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/jpeg;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 17.Figure Q-17 shows ray AB that has passed through a divergent lens. Construct the path of the ray up to the lens if the position of its foci is known. (AS5)
![](data:image/png;base64,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)
Answer:As it is given that the lens is diverging and ray AB is the ray after refraction. This implies that the Incident rays must be parallel to the principal axis making it appear to diverge from the focus after refraction.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwkHBgoJCAkLCwoMDxkQDw4ODx4WFxIZJCAmJSMgIyIoLTkwKCo2KyIjMkQyNjs9QEBAJjBGS0U+Sjk/QD3/2wBDAQsLCw8NDx0QEB09KSMpPT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT3/wAARCACCAWEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKQ0AFGRUc0hjidwu4qCQoPWsSw8UJqhMVnZzNcAcq+Aq/Vqh1Ixai3qy405STklojfJGCSeKzn1QTOYtPjN1IDyynEa/Vv6DNINNkusHUphKvaCP5Yx9e7fj+VaCRrGoVFVVHQKMAVZBQGlvckPqUxn7iFfliH4dT+NaCIsahUAVRwABgCnUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABSUtJQBAb2AEgyAEUovIT/y0FUtStwsglXo3DVWQVvGnGSvc55VZRdjYFzEf4xSieM/xVmJUT6igkMNrG9zMOqx9F/3m6CpcEilUbNjz4/7wqjJq8cjmKxRruYdQhwq/7zdB/OqD2U13/wAf8oKH/lhCSE/E9W/QVs2dsltbqkaKgx91RgCplFJFRk2yp/Zs1582oz717QRZWMfXu34/lUtjpNtp7ztbqFMzbjx09h7VdpaycU2m0aqTSaT3ExS0UVQgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigCgNb07/n9g/77FH9t6b/z+wf991fooAof23pv/P7B/wB90f23pv8Az+wf991fooAof23pv/P7B/33R/bem/8AP7B/33V+igCh/bem/wDP7B/33R/bem/8/sH/AH3V+igCh/bmm/8AP7B/33WdYeLbO6nlhnYQsjEBiflcA9Qa36pWWlW1jLLJDH+9lYsznknNZTVRyjyvTqaQdPllzLXoJ/bem/8AP7B/33R/bem/8/sH/fdX6K1Myh/bem/8/sH/AH3R/bem/wDP7B/33V+igCh/bem/8/sH/fdH9t6b/wA/sH/fdX6SgCj/AG3pv/P7B/33R/bem/8AP7B/33V+oLu4e3iBjgkndjgKmP1J6CgCnPq+myxMn22Dkf36yv7SizstwbmT+7FyB9T0FboilubMx3ihWf7yxOeB6Z61Qe3jtJDHCgRByFUYrak+hhWS3Ki2k93zfS7U/wCeEJwv4t1P6VpQRRwxCOJFRB0VRgCo1qZKtoiLHRJvmHoOavCq9sv3mqwKxm7s3pqyFoooqCwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKSloAKKKKACiko3UALRSZpaACiiigAoopCcUALRTd31qBr+3W6W28wGZv4F5I+vp+NAFjIqpc38ds6xLHJNMwyscS5OPc9APrSSWtxPdB3uSlupBWOMYLf7x9PYVbwc0AVrqzN4iK8s0cf8aI2N/sT1/Kp4YkgjWONQqKMKB2FSUUAJWffridT6itCqOojmM/Wrpv3jOqvdK61OnSoFqZK2kYRLluMRj3qSmRcRr9KfXO9zqWwtFFFIYUUUUAFFITigHNAC0UUUAFFFFABRRSE4oAWim7qWgBaKKKACiiigAoopM0ALRRRQBQFvqQH/AB/W/wD4Cn/4uj7PqX/P9b/+Ax/+Lq/RQBQ+z6l/z/W//gMf/i6Ps+pf8/1v/wCAx/8Ai6v0UAUDb6lj/j+t/wDwFP8A8XWTqdtrVxcQfZNTgCxNmXYPL2/UZOR+VdIeleW3D6XNd6ymkiWNYbC5UsyOXvJGGSc45Ve3r2qJwU1ZsqE3CV0egxx38gzHqNswHBxb55/77p/2fUv+f63/APAY/wDxdYvh4f8ACOWGnWdwkbtfvhHt4RGqHZnDDOScA811AORVklH7PqX/AD/W/wD4DH/4uj7PqX/P9b/+Ax/+Lq/RQBQ+z6l/z/W//gMf/i6Db6l/z/W//gKf/i6v0hoA5t7bWv7eWT+04BAF4XGAf+AZ6++ansjeedJD5sVtOSWZTZnD+4YPg1lvpUt58Rri6UQhLaGFv3sO4n733GzhT+ddJpWox6vYC5jikiG9kKSYyCrFTnHHUVEYct9S5TcrX6CeRqX/AD/W/wD4DH/4uj7PqX/P9b/+Ax/+Lpy208V2XjuS0Lkl4pBnH+6e305p51CBLr7NJII5T91WGN30J4NWQRfZ9S/5/rf/AMBj/wDF0fZ9S/5/rf8A8Bj/APF1eBpaAKH2fUv+f63/APAY/wDxdVL6G/GzdeQHr0tyP/Zq2ao6gfnjFXT+IzqfCc3rbXcFgN+q21tuYYLDyt30OT+VaFgLuazieHUraZCoxIsO8H8d3NY+qRfZvEkWo3tjJe2X2fyoxHF5phfOSSvv6j0rQ8KW0sFreSyW7WsVzdNNBbsMGJCBwR2JIJx703D33IlTbpqGll95tRwaiY1xfW/T/n2P/wAXTvs+pf8AP9b/APgMf/i6twnMS1JUPc1WxQ+z6l/z/W//AIDH/wCLo+z6l/z/AFv/AOAx/wDi6v0UhlD7PqX/AD/W/wD4DH/4uj7PqX/P9b/+Ax/+Lq/RQBi6rZaxPYPHb6hCJGxjbCUP/fW44/Ko9NN55SWv9sWctzGvzps8xx9fmB/St084ridBsbjSn1PVPs7zPJdzKtusCK5Bf7xkPO3vzxUci5uYvnfJynUCDUv+f63/APAY/wDxdH2fUv8An+t//AY//F1Jpd/HqmmwXkKsqTLuAbqKt1ZBQ+z6l/z/AFv/AOAx/wDi6Ps+pf8AP9b/APgMf/i6v0UAUPs+pf8AP9b/APgMf/i6ZNBqoify723Z9p2j7MRk9ud1aVcl49nsra0hku72WOYhktreOfyhJIRgMxHZeuelJq6sC0LukRa89qxv7iKKTdwHh3nH4MK0Rb6lj/j+t/8AwFP/AMXXH6bHdS+KpbmS6jurewt7dppjcOBzGSWVV+Vs4zzXY6bqtrqsLSWchZUbawZCjKcZ5BAPQg0oR5VylTlzScrWE+z6l/z/AFv/AOAx/wDi6Ps+pf8AP9b/APgMf/i6v0VRJQ+z6l/z/W//AIDH/wCLo+z6l/z/AFv/AOAx/wDi6v0UAUPs+pf8/wBb/wDgMf8A4unRwX6yqZbyF0B+ZVtypP47uKu0UAFFFFABRVAavb/3Lr/wFl/+Jpf7Xtv7l1/4Cy//ABNAF6iqP9r239y6/wDAWX/4mj+17b+5df8AgLL/APE0AXaWqP8Aa9t/cuv/AAFl/wDiaP7Xtv7l1/4Cy/8AxNADr3Tor2e0mkZw1rL5yBe52lefwNWl6VT/ALXtv7l1/wCAsv8A8TR/a9t/cuv/AAFl/wDiaAL1FUP7Xtv7t1/4Cy//ABNZOm+Klubya3uIJQ0bHa8cbNlc91xkGs5VYwaUuppClOacorY6WiqP9r239y6/8BZf/iaP7Xtv7l1/4Cy//E1oZlxuMVV0zTo9MtDBCzspkeTL4zlmLH9TTf7Xtv7l1/4Cy/8AxNH9r239y6/8BZf/AImgC7gelNkiSVcSIrAHIDDODVT+17b+5df+Asv/AMTR/a9t/cuv/AWX/wCJoAdci9RxJatG6gYaGQY3e4YdD+lTeeiMiSOqPJ91SeT7D1qv/a9t/cuv/AWX/wCJqG5vbC7j8u4guJE9GtJOP/HaANOs2+bdc49BiopNTS2tVWziuJGT+GWCXkf7208/WqcWqQ3k2WDwSvyI5V2tj29a1pLW5jWeli6tTLUK1MlaMyii3bnMePQ1LVW2bEhX1q1XPLRnTB3QtFFFIoKKKKAEqnq2mx6tp8lnNLNHFJwxifaxHpn0q7RQBBZWq2VnFbI7usS7VZzk47VPRRQAUUUUAFQT2VrdEG4toZSBgGRA2PzqeigCu9uqRSLarHC7LtDBBgYHGR3A9KoaDpM+k2ksdzdC7mllMrzeVsLk9c8mteigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAENVraxgsy5gjVC7FnPdiatUUnFPUd3awUUUUxBRRRQAUUUUAFJS0h4FAFe9m8qA4PzNwKx5LeK5j2TIrr6EdKnu5muJ8qDtXgcU1FbA4P5V1U48sTjqS5pFdYbu0/49pPtEQ/5ZTN8w+jf4/nVq1v4Z38o7opx1ikGG/DsfwqRVPofypZrSK6j2XEQkUdMjp9PSlIqJIG2SBh2NaCkEZHQ1z7297Z827NdRD/AJZyn5x9G7/jV7TNThuGMBLRzL/yykG1vy7/AFFZzV1c0puzsadFJmisjYWiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACkpaKAE2ijFLRQFhMUYpaKAExUF1ZwXiBZ41cDkHup9j2qxSGgDndau7vQbBmS5EyP8kYlH7xSemCPvfjV/RdYj1OzjJYLcbfnjPBz64PatCSJJMb0VscjcM4qK4sLa7jCzRKdv3WHDL9CORWSjL2nNfTsac0fZ8tte5YzS1mbb+w5jY3sI/gcgSqPY9G/HB96sWuowXbMsb7ZF+9E42uv1BrUzLdFJS0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRSYCUUUUwDFY3idFGltMFAlQja4HzLz2PaiigDRsWZ7CFmJLFBkk8mrA70UUAA6UtFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB//2Q==)
Question 18.Figure Q- 18 shows a point light source and its image produced by a lens with an optical axis N1N2. Find the position of the lens and is foci using a ray diagram. (AS5)
![](data:image/jpeg;base64,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)
Answer:From the given points we can infer that the image formed will be magnified according to the heights of the dots. Moreover, the image should be erect. So now we have to select the lens. For concave lens only, diminished image will be formed of the object. Thus, we cannot take the concave lens and hence convex lens is the only option. In convex lens, there is only one position of the object where the image is erect & magnified that is the image should be between focus & O. This figure represents the opposite of the given figure.
![](data:image/jpeg;base64,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)
Question 19.Find the focus by drawing a ray diagram using the position of source S and the image S’ given in the figure Q-I9. (AS5)
Answer:![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANYAAACACAIAAAD4VgCTAAAAAXNSR0IArs4c6QAADYlJREFUeF7tnQd0FMcZxyWByukQAsQpgYgiAqLHpugpDuBY6FGeQHEcYQQIIlrs0DFgTIsNAV6KQ49RiAGX2HlCgGMsqnnYICETgqk2YAFGBQEyVaDeTvmvR6yXVeFub0+rmfv23du3tzflm+/73ffNzO7OuldWVrrRRhowTgMexlVNNZMGJA0QgsSBwRogBA02AFVPCBIDBmuAEDTYAFQ9IUgMGKwBQtBgA1D1hCAxYLAGCEGDDUDVE4LEgMEaIAQNNgBVTwgSAwZrgBA02ABUPSFIDBisAULQYANQ9YQgMWCwBtxd6pbVoqLSVasP+jf18Wvqk/ewGLqfMSPCYAu4fPWuheCKlXuGRfbo1asd7H7vXn7c+ISkTya7PAMGK8C1AvHOnVctFj+m8hYtmkyfFmaw+ql6V7trOiKi9ZSpH126dJOZPjQ0mBgwXAOu5QVnzwq3WEwxo3Zs2HAIgRiO0HADkACu1ReEvTEi2ZZ4Yt26U0FBJgTiIUN6EgTGasDlEGTqhgvcGH8EXcNtCSNCQloZawMXr12oQDz/1fndQjp3bB/cKbjDhnXrq5tW7gUiBC9ZPAyOMD39josTYHjzxUEwKWl3dlZWaWkpdIrJznVr1lxNz1Dp94tjV5VnBg8KNjfxNtwGLi6AOAimpqb+7/hxpTmXvbFUZd3s7FwMROALs7PvHU29lJmV26d3excnwPDmi4Ngzo0bKm2afU2qM3PnDMLlEF9fyfN169r6b29Gm0xehtvAxQUQB0FLYKDKliNHjVadYcAFBbXAh2ZkGgj64iD427i4mDGxPXpWTbKMjZsQENCigWiZxKhDA6JNyixc9Iffv/xSUlLSyJiRgZaWZPuGrwHREGz4GicJVRoQJxCTaTnVACHIqeHEEZsQFMeWnLaEEOTUcOKITQiKY0tOW0IIcmo4ccQmBMWxJactIQQ5NZw4YhOC4tiS05YQgpwaThyxCUFxbMlpSwhBTg0njtiEoDi25LQlhCCnhhNHbEJQHFty2pKa7xc8fDjZbDZz2iQSu4FoIDS0jy2S1IzgiuUrr2dftyU/pSEN1KaB+E0bbVEO3TVti5YojRM1QH1BJyqXirZFA4SgLVqiNE7UACHoROVS0bZogBC0RUuURloUD1pge+VW23nbVWYfgs6Tw3aJKaUhGsBCFFiFZ2TM+1iUR4Vg1K82V0fTdiHtQ9B5ctguMaU0SgP9+4VgLbKt71w4cOArWQasixId3dWR1VHsQxAVO0kOo9RK9dqlgZCQwFmzev/9rePySo12Za8xsd0IohRnyOF4S6iE+tHA+Lh+YWGt5s7bgwXydKlRC4KoWHc5dGkMFVI/GsAaeaho7brPdalOI4KoW185dGkMFeJsDeTnl6AKDAniN/4mLe3+u++lOl6jFgSdIYfjLaES6kEDTR6ti4wFGv+4bBBeXKAcmmgTQAuCzpBDm/SUq541wLwP2/AetSWLn1mw8DCWT3ZEDC0IOkMOR9pAeY3SQHR034kTuuXmSi+U1LxpQVBVmS5yaG4AZawfDWDy+fTpzGP/zcQeb22RK508eUCPHj/GVwyQ0TXEx+5parwfwfatsLDk1KmMufN2YH/3bp6cEeffefco+4rzy1fstr1MSimGBq5du4uG7N9/LuVoml0tcsr9griGQ+/5rR/n1NBqgY80m73seqGVDoG4oWmB5DFWA3bxB1EJQWPtJVTtcIFdutj9Qj9CUCgIDGwM7qM5ey47OTkNINolhv59QQyINm9OwUCJXmxklyV4T6wcCNtlev0R5F2VJH89a4ACcT0rnKpTa4AQJCYM1gAhaLABqHpCkBgwWAOEoMEGoOoJQWLAYA0QggYbgKonBIkBgzVACBpsAKqeECQGDNYAIWiwAah6QpAY0KSBnNPTer8V88FNq6bcykyEoMMqdMUCKvMu3Tjl1izq5y0dB4julHFFgmxvM27BWrX6oH9TH7+mPnkPpSflvn8kIy95WcKsi923//sXHR1m0OECbG8NpeRQA+BvWGQPYIclXGJjwz49mC41Iu/65/tLQ4YHd9ADHz3K4FCzJLKNGti586rF4scSYwW36dPC3Nwq805/u79EnyiMYglBG20hVLIzZ84kJm7/+uvzKSlPWBQmIqL1lKkfyUu5hYYGu7mVXjn7XbF3s7Y/aqyLUghBXdTIWSHp6RmL5s//9fDhG9av//TgZ3VIP3tWuMViihm1Aw/m4gl2aSlL673zqUU+Q3/ay89dl2bTcEQXNfJUSM53t/qHIZ5WbWPGjQvp3Hns2Nja2oARybbEE1jBKCjIhEA8ZEhPfVtLCOqrTw5KGx834eiRw0pBwyMi3t6yuW7R4QI3xh9B13Bbwgh7nxSuu2QKxBxAo6OImZlZBXkPVQWmpaXVVoXcC0QIXrJ4GBxhevodHeWh4Yi+yuSgtHbt2rYIaKkSNLh9+9pE/+LYVeVPWO7c/GiJQb1aS15QL01yU87AiIF9Q0NlcZsHtBw0ZGht0mPtQAxE4AuxcBYeVs/Myu3Tu1ZetamA+oLa9MZ3rjVr1h3Yv+9KWlpAS0tAYODevbvrGIvguXS2srmvr5cjL3eorQpCkG+YBJCeArEARuS7CYQg3/YTQHpCUAAj8t0EQpBv+wkgPSEogBH5bgIhyLf9BJCeEBTAiHw3QcB5wZLklLJDn3m0bWPNuoZ96QcJfu9vadSmjTZDVVy7Vrx9Z+WDBxWXr7i3DPCdOqVxl841FlWUuN0nari7yVSJe0tOfFn+5cmKjIym69fKia137xa99y8U5e7v7+7f1HfSRPknyOz97ABtEnKfy65XRDT8xIXbEu8Fdaq4cwcHuaPHPpgxC19LTp7UILm1sLBg8xZkL7v4DcuO0u4/N6h6aUiAn1Ap0mCPBKgaGZFdrhelsew4wAe/Fh9Jln/FsTYhNbSroWVxa2gCOSJPeVaWyvAMCJjc3mKRJe/1pSpQGJHAS1ka6MFJVK08WR19lkyGEscoX84COZHFXiHFSC9OXxBhLv+1RYhKXv36ybHJ3de3cbt2CI7KaIVA+cTgVZy0u2zrhx4DwqrHR2vKcTk7wnRh7CTvpQuUgR7lV/xnL9J4du0qpyz+xz9x3LjX09iXnjqFvfX+fflXj4AAZEETniiYeAkEQRAoPHj6GQZH3qAofJXOjBmXG/JU8ce7mNlARsHqtbnhg6137uDg4czZ+DAaVBtQKJ67GCe9H7+XuPJB1Z12MsQMeu/B0iui5a3s4kXpn/DKVCX6TLZGFgv2FVe+lY4Vt0gx+Moz7Xtdghg4CoIgnJDvh1skxzMxtvm1S/gqfTp1lB0PDgrjN5Wu2ejz6hzppy5d4HU8+/dTOqofPNYjaj17dn+MrSTJt7l3bM/YwhgCYDV6IVI11indlSTV27ePMi8cqvy1JP5tHHsE/UQ+Y70t3QdqzbklBlV2tUIQBCXXcvmyZPhHT0XAUSGSSt6od2+mEfAnMfo9VeXHJZ/k3sSPDWBxrNyXHap65b2SrfJv0iqvZCAlIGYFYsyLvfeIaKXGUU55svRYmldoX+V58+tL8LXgzVVwwFXlRA2XE1TckuBzb2K2y3hiJBYHQcZN4w54ylDaKjKzJOAm/vBUDjsGVYh6VZSESXduPoh8/n6bEIRs7Av+/FecqQqaL0QqbVx27hy+Sr3D8F+y81VMd++mTIZ6QRhco6oDiqkc/zPHMKeDSRkJ3KULlAkwiyTJFhgoBlV2tUIQBOF7qrhp17aKj1TJFclOEce+M6eDDMzeYXLOMyqy2aWzGAQgI7wagrhp03ppP1maq0OolfI+9TOlKln0NM17RYkOiEQh1UlV5WUJWEo2yjGNGS3nkh12o0fC22VC3hMLgiCmgpnPk/koPys5LTjFquEnXpM8Y7bX0KGYPTbPmY0PS4m9T+RQDHvZnkVer7GjsJcHHzgu3LIVe59VK+WwzgzPupuPIXj0+yisGJXLv0pj9ikz8Dfw27BWyTETXjV84R0s2+UXBEHWLfOMGCi3nE2LlOzdx6BBfx9usujlmQi4+W8sq3EgLOfFdQuAUpa0F8Nqxh+ifJP4DaaRLyo1K0Vbf3/lGfQXWb3VN/yE/4D3lN/5/eVPKsdZsmOnxPeLj/UpbTch7ykFuUCHqRb0wNDZkq0LyDDARL+N+RvJAy1bbv3qAhsKYDPvSlC5NKUtERwxNVj68SeeEeGNOnXC2ELVt0NixHRr9nU4VJaR8SpvmJKUhcFP5ekZNRYCOQueH4U+AF2g43imnV0UyV+1prY2sIt17BoJErOLHMqrZ9UzIjEKLNqzD9ctVBdX2IU4di1OeYVDgwZRMgRDLRryCpOFby+ICQ7P556Ft0OEVbpAVWxC5MWlCPmOAXhEzGP7HUyq7YYDuMC81xYqQypiLhthoINoihsnuzf51gQN0RC1YKoS8tfhjDUUy10WjhGECR9OeonNAKMjVce9MOxuF9yc4tGqtRSUb95AbK0j8EkXV27frswvsObkVJy/wO6R8WjeHH3NGoOpNqvjn6DqFGorh/dcHCPIu+pJfqYBQUbEZE5+NUAI8ms7QSQnBAUxJL/NIAT5tZ0gkhOCghiS32YQgvzaThDJCUFBDMlvMwhBfm0niOSEoCCG5LcZ/weMQCGv41ZuFAAAAABJRU5ErkJggg==)
From the figure we can infer that the image is magnified & inverted. Moreover, it is on the opposite side of the lens. We cannot use concave lens as it will produce diminished image of the object. In convex lens ,if the object is placed between F & C, then only the required condition can be achieved.
![](data:image/jpeg;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwkHBgoJCAkLCwoMDxkQDw4ODx4WFxIZJCAmJSMgIyIoLTkwKCo2KyIjMkQyNjs9QEBAJjBGS0U+Sjk/QD3/2wBDAQsLCw8NDx0QEB09KSMpPT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT09PT3/wAARCACoAbEDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigBKKWigAooooAKKKKACkpaKAEpaKKACiiigDnfHuoS6X4J1O7t7hreaKMFJFOCCWA49+a3reeO5t4p4WDRyoHRh3BGQa4H4m6nIGgtYFjkSwj/tO5SQZRgrBIlYdwWYn/gFbXgSVrfT7vRJmJl0ic26knloT80R/75IH/AaAOoooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqpe6pZ6c0S3c6xGZtsYbPznGcD1NPgvra5s1u4J45Ldl3iVWypHrmnZ2uBYoqOC4iuYI5oJFkikUOjqchgeQRSXFxDa28k9xIscUSl3djgKB1JpW6AS0U1XV1DKQVIyCO9R3N3BZ27z3UyQwxjLO5wFHuaAJqKQMCAQcg8ijIoAWikzS0AFFFY3i3VG0fwtqN5F/rlhKwgd5G+VB/30RQBykOqpDZeI/FU0P2iKWfy4UBA3QRHy1xn1Yu341qB/7L8fWVx0h1a2a0k9PNjy8Z/FS4/CmTWOm6L4LFlqi7tPtbZI5xgncBjJ455bmk8Yq6eH3voRmbTZY75P8Atm2WH4ruFAHaUUyGVJ4UliYNHIoZSO4PIp9ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABSZqtqWo22k6dPfXsgjt7dDI7HsB/WvIIPH3irV727NtcC34M8NusSMyxd+oySvBP1zScordmkKUppy2S3fRep7RmivLLXVvFJt0uL7XrqG2cZW5t9OiuIse5XkfiK2tPXXtVXNh46sp/wDZXT49w+ozkVtGFKW1Rf8Ak3+Q50KsFzON13VmvvWhs+J7a4ubzRDbRTsIb7zZHiUHy18t13c+7CqMulXWn38Vnpkmow6fb2UjjytpEk+/cMkjJJyxPan/ANieMByPFluT6NpqY/nR/Y3jH/oaLT/wWr/8VXRGySjzxt/29/kYfIz7lfEc1rG0Takk0emwPtXaA1yH/eA+vHboauXZ1p/7bbZqK3Qjk+wmEr5LKQNnH9/Oc5Hr2qT+x/GQ/wCZlsW+unD/AOKo/snxn/0Mdh/4L/8A7Kqco/zR/H/ICqz6rf65eW1teXsUsC2csSnAjTOfMDjHOQDwe9QapFrl6NcjNpf/AGa5s5Y4oHZXHmh8KV9AV5x0/GrMXh7xXBeT3UWs6WJ5wolk+xNlwvTI3Y4qx/ZvjX/oO6Wf+3E//FU7xTTjKPTv5eQi3rCX1ze6PHaSX0Fu7N9paAAbV2fLuyDj5sD86xceIZbLWJ2GoWhEUd1bRyyg4dWYyR7h2YADHTnir/2Dxv8A9BfR/wDwEf8A+KqG60bxhdoqXGoaJOisHCPayAZHQ8Nz9OlTBRjZc0fx737f0hnS6Usv2FJZzJ5k5MxSRsmPdyE/AcVcrlPsnjr/AKCOhf8AgNJ/jR9n8dr0vtAb3MEo/rWLopu/Ovx/yHc6yuU8Yt9r1Xw9pfVZrw3Uo/2IV3c/8CKUnkePP+fvw9/35m/xrm2Hi288aXLGbRWu9OtEhLbJfLAlO7gZzuwgz7Yo9gv519//AAAudTrtjb6nol3aXs/kW8ybZJdwG0ZBzk8dquyxJcRPDKMxyKUYHuCMGuM1/TvGepaFd2cg0adJlCtHAHV2GQflLHGeO9bmleKrDVLg2j+ZZagv3rO6XZIPpnhh9KUsPJLmjZry1sFy74AuHl8H2cEzZmsi9nJ9YmKfyAP410lcp4UJtPEniTT+imeK9Qf9dUw3/jyH866qsBi0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB5l8XJNXkt4USyb+w7dlkuJhIo8yQthBtznaCQenUj0rgbJNRk1mxXRI2k1QSGS2wwXBUZOSeMEZBHcV658U/+Sf3/APvw/wDo1a868Df8lC0f6zf+imrkqq9aB9Bl9RrLcRtpb8T0ZNM1LTo01jSLX7PPMoe90lnBR2/i2EcBvpwangsPD3i62+1JaIJlO1yo8qaJ/RsYINdNisHWNAke7/tTRpVtdUUYJI/d3A/uyD+vUVtKFtlp2PnYSqUJc1JtehD/AGFrOm86RrbyxjpBqC+YP++x8wpP+Ej1LTuNa0SdUHWezPnJ9SPvCr2ia/Hqu+2niNpqMHE9rIfmX3H95fcVr4pximrxZ1RxaqK9SKl57P8AD9UzN07xHpWrHFlfQyP3jJ2uP+Anmk8RahNpmhXN1bhfNQAKWGQuSBuPsM5/Cl1Lw7pWrc31jDK//PTbtcf8CHNZb+GL+zRl0jWZxERj7NeqJ4yPTnkCneS3VzSmsO5qV7eT2+9f5F9t2kiCW41KSWJzscSqGMjn7uzaODnt6Vftb+2vI0e3mSQOu5cHkj1x1rj7qO/tYI4tS0R/LgkEqT6c/nKpAI/1T84wTxUKHTNXvP8AQ7y0EhkgRImXyJbeJG3PtU9yfT1pqcXpc3eDUo8zfzVmvw/VnfBgcjjIorjoptQs752jPk3V9dyySi5QlEhjBC8j2Axz61ck8VM9hfvbRI0kCRmFxkpK0nCDBAPPH4HrV2OeWDndcuv/AA9vz/zOmoqFZQojjmeMTFclQcZPfA9KlzSOR6C1xfh0/ab3Xr88m41OSMH/AGYgIx/6Ca7J2CIzMcKoyTXF+CVP/CIWMzfeud9y31kdm/rQBZ8UQXl14Zv4dNEhu3jAiEbbWzuHQ8Y4zU+raLp+twCHUbVJgv3WPDofVWHIqDxRe3OneGb+7sTi5ijDRnZu53AdO/BNatVGTi+aLswOGjg1fwj4ygaxaXW0u7N0EM7hZljjYHaH/iI3kjPbNdrofi3TNddoIJHgvU/1lncr5cyH/dPX6jNZOsH7P4k8M3XYXklufpJE39VFbet+GNL8QIv2+2DSp/q50OyWM/7LjkVt7WFT+Ite6/VbP8BWtsa2aWuOA8UeFuhPiLTV7HC3cY/lJ/OtrQ/FGl+IFYWNwPOT/WW8g2Sxn/aU8/0qZUJJc0dV3X69vmFzXopM0tYjCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8/tfEXi3xFbXWr+HYdN/s+GZo7e1nDebchTgndkBc84rvz0rzZdJ8QeG7XUNE0XVdIg05pDMlzcSFZ7NJG6beh5zg0DSb2PRbZ5JLaJ54vKlZAXj3BthxyMjrj1qWobSN4bSGKSZpnRArSsAC5A5Y47nrU1AjkPin/yT+/8A9+H/ANGrXnXgb/koWjfWb/0U1ei/FP8A5J/f/wC/D/6NWvOvA3/JQtG+s3/opq5av8aHzPcwP/IuxP8A27+Z7nRiilrqPDMjW9Ah1dY5Y5Gtr+DmC6j+8h9D6r6iq2la/MLwaVrkaW2pAfu2X/V3I/vIfX1Fb9UdX0e01qzNveR5UHcjqcPG3ZlPY1Di07xM5QafNHf8y9mjFcxaavd6BdR6d4gk8yFztttRxhX9Fk/ut79DXSiRTj5hg9OetOMlIqMlIdiqWo6Np2qptv7OGf3deR9D1FXaWm0nuaRlKDvF2ZzJ8Jz2Sn+xdXu7Rf8AnhMfPi+m1uR+dZz2mpac6G80KK4ijmWcyaW+3cyjAJibr+FdtRgVPJb4XY6o42ovjSf5/erP77nD3msafrGp/aFltzcwQFbayvlaFllLAkkng9Oxq3Fc6lplvC8pmAn1LyxER5h8sqcbeT1Iz14zXSXum2eoxeXe2sM6ekiA4+npWE/guK1dZdFv7vTnQkogbzYxn/ZamnNb6m8MRQlFQenrqvvW33NmjqtzPbeFb+4uhGs0dpK7CMnAIQmsvw5B9l8MaVCesdnEp/74FZ/imbxHaeFdVg1CGzu7aS1kRrqFzG0YKkbmQ9ce1S6f4m0zyYLa4lezmWNV8u6Qx5wAOCeD+dL2keuhzSwtR+9Bcy8tfw3XzRd17VG0XQbzUUjErW0e8IWwG5A6/jV/sKoa1eWNtoV1c36LcWSR7pEAD71yO3Q9qvggqCDkEcYqzls0Ynir5LfSp/8Anhq1q35vt/8AZq7OuK8anb4ad/7lzbN+UyV21ACYrF1zwnpevMstxE0V4n+ru7dvLmjPsw/rmtuiqhOUHeLsw3OO+1+J/C3/AB+xHX9NX/lvAoW6jH+0nR/w5re0XxFpviCAy6bdpNt+/H0dD6Mp5FaVYOteD9N1icXYEllqK/cvbRvLlB9yPvD61tz06nxqz7r9V/lb0FZrY36K47+1vEXhf5datjq+nr/y/WSYmQeskXf6rXQ6Tren65aC50y7iuIu5Q8r7EdQfrUToygubdd1t/XqCZoUUmaKyGLRRRQAUUUUAFFFFABWL4j8T2vhyK3EsM91dXUnl21rbpuklbqcD0Hc1tVxXjOC60/xToPiOGznvbWw82K5it03yIsi4Dhe+O9AGx4d8VQa/PdWrWl3Y31pt862uk2soPQgjIINbtc94a1+81+7vZTpU9npqbVtprlTHLOf4jsPQDsa6GgAooooAwZNRuYvGMlo0xNmlh9pMYjBO7ft64z07Uz/AITTTfIaYJdmMQC53fZzzETjePYd6vS6MkmsSal9omWV7c220BdoTOfTrnmqC+D7RbX7P9puTF9iNjglc+XnPp196j3uh1J0Hbm8tvxNGfW7W3v7W0k80NdHbFJsOxmxkDPrgVXXxRp7Som+QJIsjJKYzsZYzhznsB74ph8L2zajHetcXJlSVJQCVxuVCnpwCDyBxnmsiw8P3/20mZ3WC4aUXkEkUezY+7Ko4G48kenvQ3IIwotb/wBanR6drNrqc00Vu5MkSozKRj5WGVI9jg/lWhWfpOlLpMAgjnmmRQFUy7cqo6DIAz9Tk1oVSv1OefLze7sFFFFMkKKKKACiiigDm307xYXYpr+nBSTgHTScD/v5WFqvhvxReX4upbjTrqa0VTA4tvLEpzkqV3nIXqMkc16DRUyipKzNqFaVGXPHc5kad4uIB/t/TR/3DT/8cpf7N8Xf9DBpv/gtP/xyty8v7awRWuZVQO21B1LH0AHJP0qG31izummSKUmWFd0kTIyuo9dpGaohU5tcyWhyviPwv4r1zRJrCXW9LlSUoSpsmi+6wb7wdsdPSsLR/hv4m0zXLXUEv9Iie334YLJJ95Sv3SF9fWvS9P1C31Syju7Ry8MmdrEEZwcHg/SnWl9BeGcQOWMEhikyCMMOo5+tS4JtSe6NY1a1KE6Suk91/mYf2Hxh/wBBrSP/AAXv/wDHKPsPjH/oNaR/4L3/APjldJTPPiE4h8xPNK7gmfmx649Ko57HPfYfGP8A0GtI/wDBe/8A8co+yeMh/wAxTRD7mxk/+OV0tFAHKXWleK722kt7u+0GWGQYZGsZCCP+/lcbaad4g8LPDeMYltI5JEWae3kkS2BIBfywwKhuOcnivXa8u8P61qmreKpre61fVmiXUJ4vs66cjWxjR2wrS444GKznT5mn1Q02k+XRvqdRDH4uuIUlg1fQpI3G5WWzkII9j5lSfZvGY5GpaE3sbKUf+1Khl0+78KSvdaNG9xpjHdPp45aL1aL/AOJroNN1K11ayS7spllhfoR1B9COx9qcZX0e5nGd3yvcxfI8a/8AP94f/wDASb/45R5HjX/n+8P/APgJN/8AHK6WirLOa8jxr/z/AHh//wABJv8A45R5HjX/AJ/fD/8A4CTf/HK6WigDz/xnH4sHgzV/ts+iNbi1fzPJhlVyuOcZYgGnyWfie7tUjnfw7NEUHyyW8rDGPc10fjKEz+CtbjAyTYzYHuEJqHTpRPpdnKDkPBG2fqoNA02ndHnOveFNQt42eb+zYbUxO0zW/mpEi46EsSBk4GBXQQHxbZaLbCzt9Pm2xgCJ42R04+6RkCpPiBf+VoD6dGm+W+Vl4/gRcEtj8K6S0uY7yzguITmOVA6n2IrBQjztRdmenUxFf6vCVWClF7N6t/O9/T5nnHiDXdeu9FmtNQFhbSs8Z8lrWZGOJFPysSV4xk+wNd7DN4wuYxJBP4bljPRk85gfxBqj4yXzdBjgPPn3trFj1zMuf0zWrP4L04SmbTmuNMnPO+zkKA/Ven6Vp768zl/2efeL+9fo1+JHjxr/AHvD3/fM/wDjRjxr/e8Pf98z/wCNHleKdM/1c1pq8I/hkHky/mPlNKnjO1t3EesWl3pch7zxkxn6OMij2i66C+qTf8O0vTf7t/wEx41/veHv++Z/8aM+Nf7vh5vfdOP6VvWl7bX0IltJ4p4z/FG4YfpU9Wc7TTszms+Nf7nh3/vuf/Cuf1Pwd4jvbw39sNE03URz9rspJkZvXcuMN+Ir0WmStsidh1VSauFSVN3i7CauePWmoeLPC8sF3e2S3NqVkWK4kSUpAm7LMUUZXPB5HTpXaadq3ijVrRbrTpvDF1A3Ro5psfQ8cH61keEvF/iXxLFY3TXXhmKG4kw9t5ji42hiDhcnnAJFdBqPgm1ku21DRZ5dH1I8ma2HySf78f3WFaR9lNWkuV91t93T5fcXVqSqS5mL5njb/n38O/8Af+f/AOIo8zxt/wA+/h3/AL/z/wDxFVV8U6p4eYReLbDEAOBqdkpeE+7r95P5V1Fle22oWqXNnPFPA/KyRsGB/EVNSjOGr279DNO5g+Z42/59/Dv/AH/n/wDiKPM8bf8APv4d/wC/8/8A8RXTUVkM5nzvGg/5c9Ab3F1MP/ZKPP8AGn/PhoP/AIFS/wDxFdNRQBzPn+NP+fDQf/AqX/4is7xBe+LrfSJZJ4tJtgCu17e6lMm7IwFGzkk8YPWu3pCAeopNXVi6clCak1exwugaj4uuLe5ZIdMnlW4cSpc3MiPG39zaFIAxjGCfWtX7X4y/6BWi/wDgdJ/8brpcAZOOtLRFWVh1ZqpNyStfocz9r8Zf9ArRf/A6T/43R9r8Zf8AQK0X/wADpP8A43XTUUzM5n7X4y/6BWi/+B0n/wAbrkrj4r6vaXlxbTaFZtJBK0TFbxsZU4OPk9q9Tr581n/kYdV/6/pv/QzWGIqSpxvE9bJsFSxld06t7Wvp6o9R0jxH4p1rS4NQtND0wQTglRJqDBuCRyPL9qufb/GH/QD0n/wYv/8AG6X4ef8AIiaX/uN/6G1dLWyd0eXNcsmkYFneeKHvIlvdJ02K3LfvJI75nZR6geWM/nW9S0UyQooooAKKKKACiiigApDS0hoA5jWn+yeM9IvLo7bMRSRCRvuxyHpk9sjikudt746sZrJhItrbSfaZEOVAb7qk+uecV0zRrIhV1DKeoIyDSRwRwpsijRF/uqABTudccSlFaapOP33/AMzgvDctwljoZ0+/kkdp3S4tAQUSLLEsRjI7cn1qzcaxfWdlqB+0yOkerC3aR2wY4cDPOOPTOOM12aQRxlmjjRWbqVUDP1qppulLYw3CyESyXMzTTEjgluwHoAAKdzd4ynOTnKHy+d97fI5yS/u7SGygu9UQ2lzdyI13DLuMabcohkx1z39KfbIkXji0D6i827TgI5Sy/v8ADnjOOeOePSuq+zQ+T5Pkx+V/c2jb+VOEMY24jQFBhcDoPalcyeKjZpR3TXTr12HjpS0lLSOIKoaRo9votvNDamQrNcSXDbzk7nbcce2TV+igBDXM6lpE1hqT6h4eeOO9cb57Jmwl0o747N/tfnXSSlxGxjUM4HAJwCfrXHeRNb38OoayHfUb1tkMNuCZIApzsj7bcZLMev41nUMqttDodF1y21qBmi3RTxHbNbyDEkTehH9a0652/wBJi1oQ6xo1wLbUFX93cKOJB/ckHccY9qn0TxD9vnewv4fseqQjMlux4cf3kP8AEv8AKiMmtJBGbWkvv7m3RSZpa0NSvfwfatPuYD/y1iZPzBFct4PmNx4N0Zz1+yRqfqBt/pXY1xXg9fI0e4su9lfXNv8AgJCV/RhQBzmvabq3im+1d9NWERxRfY4/PJXdzlip7Hg8+9bng03FpbXWkXikS2MmFbB2sh54PfnP51oeJ5b2LwzfyaaZftixZh8pdz5yOg+ma1MnA+lZRp2d7ndVxvtKbp8qtZJeVuv4v7zE8Rgy3fh+3H/LXVomx7Irv/7LXZ1x10PtHjrw/B1EEdzdMPoqxj/0M12NanCFMdFkUo6hlPUMMg0+igDAuvBukzyma2iksbj/AJ62bmI/kOP0qH7F4m0z/j0v7fU4R/yzu08uTH++vB/EV0tFR7NdNDpWKqWtL3l56/8ABXyZzQ8YCzIXXNMvNOPeQp5sX/fa/wCFbFtqNnqtq7WF1DcBlIzG4OPr6VbK5BB5B6isa+8IaRfS+d9kFvcdprZjE4/Ff60WmvMObDz3Ti/LVfc9fxZj+AvA9toGg2H9paZYf2xAXLXKRqz5LHHz4z0IFdlXN/2V4i0znTtWS9iHSG/T5v8Avtefzo/4Sq4sONc0e7tAOs0I86L65XkflRz2+LQf1WUv4TUvTf7nZ/dc6NlDqQwyCMEHvXL3ngiOC6e+8NXcmjXrHLCIZglP+3H0/EYrb07W9O1Vd1jewT+yN8w+o6ir2a2p1pQ1g/8AI5pwcXyyVmcjH4wu9EkW38X2H2ME7Vv7fMls59+6fQ11Vvcw3UCTW8scsTjKvGwZWHsRTpI0mRkkVXRhhlYZBHuK5WfwS+mzvd+E75tKmY7mtiN9rKfdP4fqta/uqn91/h/mvx+ROqOspa5KDxq+mzpaeLLFtKmY7VuQd9rKfZ/4fo1dVHKksayRurowyrKcgj2NZ1KU6fxL/L7wTuPopKWsxhRRRQAUUUUAFfPms/8AIw6r/wBf03/oZr6Dr581n/kYdV/6/pv/AEM1yY3+GvU+i4Z/3uX+H9UevfDz/kRNL/3G/wDQ2rpa5r4ef8iJpf8AuN/6G1dLXVHY8Gr/ABJerCiiimZhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABVLUdMh1FV8x5Y3UMokiba4DdQD74FXaSk1fcTV9GchaOfDkaJdXEkLq03l23/LEwr93BAO0AbSWPOSc1Z1A6d4ij02KRbi3v7iI3FtIi4ltsDO4+g7c8Gt2+0+21GDyrqJJEBDAMM4IOQfzFY7onhu1uLuZnvdSvJNqtt+aVv+WaAdFUf4msnFrToYuDjo/hG6ZrtzZ3yaT4hCxXZ4guVGIroe3o3tXR1jOltr9idO1i1WO4ZNzwM2SpH8SMPfoRz61nW+pXnhWZLPW5WuNOY7bfUD1T0WX/AOKpqXLvt/W41Ll327/5nV1xumj7J4u8R2XQPLDeoPaRNrf+PRmuwDBlDKQQRkEHrXKawv2P4g6dP0TULGW2J9XjYSL+hetTYd4k1OXRvDl9qECo0tvHvUPnaTkDnH1rS7D3FUtbv4dL0S7vbmDz4YI97xYHzjPTniry/MFx3xQBlaQpu/iFqM3VbHT4bcf70jM5/RVrra5bwOPtC61qeOL3UZNjeqRgRL/6Aa6mgAooooAKKKKACiiigBKMUtFAGRqPhbSNTfzLiyjE3aWL924PruGDVH+wta03nSdbaaMdINQXzB9N4+YV0tJiocIvU6I4qrFcrd12eq/H9Dmv+Ej1LT+Na0SdEHWezPnJ9SOorT03xFpWrcWV9DI//PMna4/4Cea0sVm6l4d0vVub6yhkf/npt2uP+BDmi01s7lc9CfxR5fT/ACf+ZduLeG6geG4iSWJxhkkUMrD3BrlpPB93osjXHhC/+x5O5rC4zJbP9B1T6irX/CN6jp3Oi63cIg6QXg86P6Z6ij+3Na03jVtFaaMdZ9PbzB/3wfmrSniJ0tOn3oX1VT/hyT/B/j+jZFZeN4oLpLHxJaSaPescK0pzBKf9iTp+BxXUKwZQykEEZBHesKPXPD/iOB7OWa2mD8PbXK7W/wC+WrNPhbVPDzGXwlf4txydMvWLwn/cbqn8q2XsausXyv8AD79187+phOnUpO000djRXMab43tZLpbDWreTR9SPAhuuEkP+xJ91hXTZrOdOVN2kiE7i0UlLUDCvnzWf+Rh1X/r+m/8AQzX0HXz5rP8AyMOq/wDX9N/6Ga5Mb/DXqfRcM/73L/D+qPXvh5/yIml/7jf+htXS1zXw8/5ETS/9xv8A0Nq6WuqOx4NX+JL1YUUUUzMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACmugcYYZFOooA4i60yPSGmj0u4mnvyyW8CoNz2qMQzsR3J67j14FdVFE97ZvFqNsmx8qY2Ifcv8Atds+wq5tGSccmiojBIzjTUTkyl34LbdEst5oOeY/vS2fuP7ye3am+M7mGbQtN120lSWKxvYbjzEOQY2Plv8A+OufyrrSoIrjPEPhi4tbHUP7Fj8yzvYnS60/sdwI3x+jDrjvSs4bbCs6e235F/XRYDRbwat/x4eWfP6/dz7c+nSl1a/XStEvL8/dtrd5R+C5H64rIszH4n8Ai2vLkQvLbCC6cEZicYBznp0zz61N4pT7ZBpmjjn+0r2KJwO8SfvJP0TH41aaeqNE01dG94S05tJ8J6ZZv/rI7dTJ/vkbm/8AHia2KKKYwooooAKKKKACiiigAooooAKKKKACiiigBMUYpaKAKOoaLp2qptv7OGf3deR9D1FZB8KT2HOh6xd2gHSGU+dF+Tcj866WkxUuEXqbwxNWC5U9Oz1X3PQ5DUTqslo1r4i8P22r2h6vaHJ+uxuc/Q1iWV9Jo8oTwzq++Jeuj6wTGy+0cjcj6HIr0rFVr3TLLUovLvbWG4T0kQHFaQqVKa5U7rs9V/XnuU6lGfxws+8f8nf8LGNpPjWxv7oWN4kumal/z63Y2lv9xujj6V0Vcfq3w302/tjDbzz28fVYmPmRqfYNyPwIqhYaf4y8J4SGRNa09ekTv+8Uf7JPP4c05SptXS5X23Xye/3r5h9XjL+HNP191/jp+J3Nze21lGJLu4ht4ydoaVwoz6ZNeA6pIk2u6nJE6vG95MyspyGG88g+lepX+uaB4q0yfR9VdrCeReYrtNjxP2YE8cGvJrm1k065mtLoIstu21yp+UjqGHsRyPrXn4uV4Kx7/D1F0sRJ1NHbRNb7a3PXvh3qNm/hDTLRbu3N0I2zCJV3j5m/hzmuurgvhn4XGn2R1q8iC3d4uIlK4McPUfi3U+2K72uuF+VXPnsSoqtJQd1fcKKKKowCimu6xqWdgqjkknAFKDmgBaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigApKWigDyzUvCzXOveJNNtp2gmuQt0isf3c8Mn3lI7YkVuR61dstP1rUvF8irqsBm0iBQs/wBlG1WmHK7c9dqjn3qb4qR3NhZ2+s6ezpKqtYytG21gkmCrZ7YdR/30a2fAUEh0BtSuFK3GqzNeuD1CtxGPwQLUezRm6Ub3/Vkn9meJ/wDoYLb/AMAR/jR/Znif/oYLb/wBH+NdHRR7Nd397D2S7v72c5/Znif/AKGC2/8AAEf40f2Z4n/6GC2/8AR/jXR0UezXd/ew9ku7+9nOf2b4oHTXrRvrZD/Gj+zvFP8A0HLL/wAA/wD7Kujoo9mu7+9h7Jd397Oc/s7xT/0HLL/wD/8AsqP7O8U/9Byy/wDAP/7Kujoo9mu7+8PZLu/vZzn9neKf+g5Zf+Af/wBlR/Z3in/oOWX/AIBf/ZV0dFHs13f3h7Nd397Oc+w+Kx01jTz7m0P/AMVR9h8V/wDQX07/AMBD/wDFV0dFHIu7+8PZru/vZzn2HxX/ANBfTv8AwEP/AMVR9h8V/wDQX07/AMBD/wDFV0dFHIu7+8PZru/vOc+w+K/+gvp3/gIf/iqPsPiv/oL6d/4CH/4qujoo5F3f3h7Nd395zf2Txb/0E9L/APAZv/iqPsni3/oJ6X/4DN/8VXSUUci7sPZru/vOb+yeLf8AoJ6X/wCAzf8AxVH2Txb/ANBPS/8AwGb/AOKrpKKORd2Hs13f3nN/ZPFv/QT0v/wGb/4qj7J4t/6CWlH2Ns/+NdJRRyLuw9mu7+84vWPC+ua/b+TqUmizAD5X+zuHT/dYHIri9V+Fmt6fClzZyx6gUP7yJOHZRyAA3B57V7RSDB/CmoraWqNac6lL4JtfPT7tjzbT/FPiS/i8rTrnTrq8iH720miMNwh75QkA/UVYj8V62sgi1C9sNNnP8F5ZyIPwbOP1rqtc8MaX4gVTfW/79P8AV3EZ2Sxn1Vxz/SsKaLxH4ejMdxEvibSR1DKBdRj6HiT+davDwqa0pNPs3+T/AM7fM0dSnP8Aiw+cXb8NV9yRehHim4jEkGp6LKh6MkLkH8Q1SeR4uHS90dvrDIP61laVY+GtfLzeHrufTrxP9ZFbuYpEPo0Z/wAMVp+X4p0z/Vy2mrwj+GQeRLj6j5TXPKnOm+WaaYfVaU/4dT5PT8dV+KKWuxeKBoN/9quNJaDyH8wRxSbiuOcZPWue8HTeI9PEbS3CwabkZS8yeP8AYH3h/Kuk1Lxwthp05u9Nu7O9VD5cc8eY3bsA44IrzzV9Q1TxXqbtpZMKtGpmDuAqEcZz369etYtRc1aWop5VWivbyvyrT+vI9oivopxmJ1f6GphJntXgE1hrWlzq51JnYEYktpyRn3HWvU/A+v3GqWDwag4e7gx8/wDz0U9D9a3U9bCcdLo67dRUW6irJsT0UUUxBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHN/EOMS+AdZVk3g254xnuK6C3jWK2ijjUKiIFUDsAKKKAJKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigBrkhSQMkdB61y/hXTNW0/V9Wmv75LqO7n3ugUgQSbVICeq7SF7fcB70UUAdVSUUUAYmueEtM111nniaC9T/V3ls3lzIfZh1+hzWV9t8TeF+NQhOvaav/AC8267bmMf7SdH+o5ooropVW2qctV59PTqhNdSxdS6N490cLb6kxt4n8yVIiFdSAeGBGV6+lc5pvh/QxqcUdje79zOjOZucgH5eMUUVOJw1OnXkl0N4YusqLpRk1F9CLRfDdzZWDvfusiiV3Usd2ATwoJ5wMdfWr+mqtnq1pfWu0RTMYpVXtu/pkUUVyT0loRSXunaeZ9aKKKsVj/9k=)
Question 20.A parallel beam of rays is incident on a convergent lens with a local length of 40cm. Where should a divergent lens with a focal length of 15 cm be placed for the beam of rays to remain parallel after passing through the two lenses? Draw a ray diagram. (AS5)
Answer:When parallel beams of light are incident on the convex lens then after refraction the beams will converge at the focal point of the lens. We have to find the position of diverging lens so the beams after refracting from lens emerge as a parallel beam. The effective focal length of the lens must be infinity as the rays are parallel.
Using the formula: ![](data:image/png;base64,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)
F = effective focal length = ∞
f1 = focal length of converging lens = 40 cm
f2 = focal length of diverging lens = -15 cm
a = distance between two lenses = ?
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
So the distance between two lens should be 25 cm so as to get parallel beams of light after refraction.
![](data:image/jpeg;base64,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)
![](data:image/jpeg;base64,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)
Question 21.Draw a ray diagram for the following positions and explain the nature and position image.
Object is placed at C2
Answer:![](data:image/jpeg;base64,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)
When the object is placed at C2 (2F) , then the rays coming from the object parallel to the principal axis after refraction will pass through focus. The ray passing through optic centre O will pass without deviation. The point where two rays meet will give the point of image formation. The image formed will be real, inverted & of the same size of as that of the object.
Question 22.Draw a ray diagram for the following positions and explain the nature and position image.
Object is placed between F2 and optic centre P. (AS5)
Answer:![](data:image/png;base64,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)
When the object is placed between F2 (in fig marked as F1) and optic centre then the rays coming from the object parallel to the principal axis after refraction will pass through focus. The ray passing through optic centre O will pass without deviation. The two refracted rays will never meet in real so the rays are extended backwards to get a virtual image. The image is formed beyond 2F behind the object and is virtual, magnified & erect.
Question 23.How do you appreciate the coincidence of experimental facts with the results obtained by a ray diagram in terms of the behavior of images formed by lenses? (AS6)
Answer:Convex & concave lens form images when objects are placed at different positions from the lens. The concave lens always forms a virtual & diminished image of the object irrespective the position of the object. But convex lens form real or virtual, enlarged or diminished, inverted or erect depends on the position of the object. On the other hand ray diagrams are inspired by Fermat’s Principle which states that the light travels in a straight path and takes the shortest path to travel.
Experimental observations coincide with the ray diagrams proving the Fermat’s Principle.
Question 24.Find the refractive index of the glass which a symmetrical convergent lens of its focal lengths is is equal to the radius of curvature of its surface. (A57)
Answer:Using formula: Lens Maker’s Formula:
![](data:image/png;base64,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)
f = focal length
R1 = radius of curvature of the lens surface closer to the source of light
R2 = radius of curvature of the lens surface farther to the source of light
n = Refractive index
Given: The lens is symmetrical. Therefore R1 = R2
According to sign convention: R1 = R & R2 = -R
focal length (f) = Radius of curvature(R)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
2n-2 = 1
2n = 3
n = 3/2 = 1.5
n = Refractive index = 1.5
Question 25.Find the radii of curvature of a convexo- concave convergent lens made of glass with refractive index n-1.5 having focal length of 24cm. One of the radii of curvature is double the other.
Answer:Using formula: Lens Maker’s Formula:
![](data:image/png;base64,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)
f = focal length
R1 = radius of curvature of the lens surface closer to the source of light
R2 = radius of curvature of the lens surface farther to the source of light
n = Refractive index
Given: focal length (f) = 24 cm
One of the radii of curvature is double the other that is if R1 = R then R2 = 2R
n = Refractive index = 1.5
For convexo-concave lens both the radii are positive.
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
2R = 0.5 × 24
R = 12/2 = 6cm
R1 = R = 6 cm
R2 = 2R = 12 cm
Question 26.The distance between two point sources of light is 24cm .Where should a convergent lens with a focal length of f = 9cm be placed between them to obtain the images of both sources at the same Point? (AS7)
Answer:Let the first point source be located at the distance u1 & its image is formed at the distance v1. Similarly, the second point source be located at the distance u2 & its image located at v2.
Given: focal length f = 9 cm
Distance between two sources = 24 cm
For first point source:
![](data:image/png;base64,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)
As both the images are at the same point therefore v1 = v2 = v
..(1)
For second point source: ![](data:image/png;base64,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)
![](data:image/png;base64,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)
…(2)
[u1 + u2 = 24 cm]
Adding (1) & (2)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
24 u1 – u12 = 108
U12-24u1 + 108 = 0
U12 - 18u1 - 6u1 + 108 = 0
(u1-6)(u1-18) = 0
u1 = 6 cm or u1 = 18 cm
So the lens is kept at the distance of 6 cm or 18 cm from the first point source.
Question 27.Suppose you are inside the water in a swimming pool near an edge. A friend is standing on the edge. Do you find your friend taller or shorter than his usual height? Why? (A S7)
Answer:Using refraction for plane surfaces: n2/v = n1/u
n1 = refractive index of air = 1
n2 = refractive index of water = n
let x be the actual height of my friend and y be the apparent height.
![](data:image/png;base64,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)
As the refractive index of water is greater than 1, therefore y is greater than
x which implies that apparent height is greater than the actual height.
As light travels from denser to rarer medium, the light rays bend away from
the normal due to refraction and the speed of light also changes in two
mediums due to refraction.
So my friend will appear taller if I see him while inside the water.
A man wants to get a picture of a zebra. He photographed a white donkey after fitting a glass with black stripes on to the lens of his camera. What photo will he get? Explain. (AS1)
Answer:
• The man will get the photograph of a white donkey with less intensity. Moreover, the whole photograph will have black strips instead of only the body of the donkey.
• The black strips will block the light coming from the object. Thus, refraction will take place only where the lens is clear. Thus, providing a very hazy image.
• The photograph will look like the picture below.
Question 2.
Two converging lenses are to be placed in the path of parallel rays so that the rays remain parallel after passing through both lenses. How should the lenses be arranged? Explain with a neat ray diagram. (AS1)
Answer:
• The rays which are parallel to the principal axis , after passing from convex lens , converges to the second focal point of the lens.
• The rays coming out from the focal point of lens, after refraction through lens, will be parallel to the principal axis.
• If the two lenses are kept parallel to each other such that the second focal point of first lens coincide with the first focal point of the second lens, then the parallel rays after refraction from first lens will converge at the second focal point.
• This focal point will act as the first focal point of second lens and the rays emerging from it, after refraction from second lens will be parallel to the principal axis.
• To conclude, both the lenses should be f1 + f2 unit apart where f1 = f2 = focal length
Question 3.
The focal length of a converging lens is 20 cm. An object is 60 cm from the lens. Where will the image be formed and what kind of image is it? (AS1)
Answer:
Focal length (F) = 20cm
Object distance (u) = -60cm
Image distance (v) = ?
Using Lens formula:
v = 60/2 = 30cm
As the object is beyond the centre of curvature (2F = 40cm), then the image will be formed between focus & centre of curvature. The image will be real, diminished, inverted and 30 cm away from the lens.
Question 4.
A double convex lens has two surfaces of equal radii ‘R’ and refractive index n 15. Find the focal length 'f. (AS1)
Answer:
Using Lens maker formula:
f = focal length
n = refractive index = 15
R1 = R = radius of the surface = R2 = -R
Question 5.
Write the lens maker's formula and explain the terms in it. (AS1)
Answer:
A lens forms an image of an object after the light rays coming from the object gets refracted by the two bounding surface of the lens.
Lens Maker’s Formula:
f = focal length
R1 = radius of curvature of the lens surface closer to the source of light
R2 = radius of curvature of the lens surface farther to the source of light
n = refractive index of the lens material with respect to the surrounding medium
This formula is used to determine the values of R1 & R2 needed for a desired focal length of a lens of a given refractive index. The values of both the radii should be taken with their signs. For thin lens, focal length is independent of the order of surface.
Question 6.
How do you verify experimentally that the focal length of a convex lens is increased when it is kept in water? (AS1)
Answer:
Aim: To verify that the focal length of a convex lens is increased when it is kept in water.
Materials required: Convex lens, tumbler, water, circular lens holder, stone
Procedure:
• Take a convex lens of focal length & a tumbler whose height is known and is four times the focal length of lens.
• Put the stone into the tumbler. Pour some water upto the level where the height of level should be greater than the focal length of lens.
• Now dip the lens horizontally using the lens holder.
• Set the distance between the lens & the stone such that the distance is equal or less than the focal length of the lens.
• Look at the stone through the lens. The stone is visible at this stage.
• Now slowly increase the distance between the lens & stone.
• As soon as the distance gets greater than the focal length, the stone will be not visible anymore.
Conclusion: If the lens is dipped to a certain height which is greater than the focal length of lens in air, the image is clearly visible. Thus the focal length of lens is increased in water.
Question 7.
How do you find the focal length of a lens experimentally? (AS1)
Answer:
• The rays of light coming from a distant object are considered parallel to each other.
• Parallel rays after refraction from lens converges/diverges to focus of the lens.
Aim: To find the focal length of a lens
Apparatus required: convex lens, metre scale, a white screen, lens holder, a distant object
Procedure:
• Set up the apparatus near a window so to locate a distant object .
• Mount the convex lens on the lens holder.
• Now place the metre scale on the table and keep the lens at a distance of 5 cm mark on the metre scale such that the mid point of lens holder coincides with 5 cm mark.
• Place the white screen behind the lens such that the image of the object is formed on the screen.
• Now move the screen until you get a sharp, diminished & inverted image of the distant object.
• Mark the point on the scale where you get the desired image. The difference between the lens mark & the screen mark will give the focal length.
• Now place the lens on a new position that is 10 cm and find the focal length.
• Repeat the above steps by keeping the lens at 10 cm, 15 cm & so on to get more observations.
Observation:
Question 8.
Harsha tells Siddhu that the double convex lens behave like a convergent lens. But Siddhu knows that Harsha assertion is wrong and corrected Harsha by asking some questions. What are the questions asked by Siddhu? (AS2)
Answer:
Siddhu knows that the double convex lens acts as a convergent lens but there are some exceptions when double convex lens does not behave like a converging lens. So he may ask the following questions:
• What will happen when the refractive index of the surrounding medium is greater than the refractive index of lens?
• When the object is placed between pole & focal point, then will the lens behave like a convergent lens?
• How does the lens behave when kept in water?
Question 9.
Assertion (A): A person standing on the land appears taller than his actual height to a fish inside a pond. (AS2)
Reason (R): Light bends away from the normal as it enters air from water.
Which of the following is correct? Explain.
a) Both A and R are true and R is the correct explanation of A.
b) Both A and R are true and R is not the correct explanation of A.
c) A is true but R is false.
d) Both A and R are false.
e) A is false but R is true.
Answer:
Using refraction for plane surfaces:
n1 = refractive index of air = 1
n2 = refractive index of water = n
let x be the actual height of the person and y be the apparent height.
As the refractive index of water is greater than 1, therefore y is greater than x which implies that apparent height is greater than the actual height. Thus, assertion A is correct.
As light travels from denser to rarer medium, the light rays bends away from the normal due to refraction and the speed of light also changes in two mediums due to refraction. Thus, reason R is also correct . So, option A is the correct answer.
Question 10.
A convex lens is made up of three different materials as shown in the figure Q-10. How many of images does it form? (AS2)
Answer:
As the lens is made up of three different materials, their respective refractive index would also differ. Let the refractive index of three materials be u1, u2, u3 respectively. If parallel beams of light are incident in the lens then due to the difference in refractive index, all the three materials would converge the light at different foci thus creating three images of the same object at different foci .
Question 11.
Can a virtual image be photographed by a camera? (AS2)
Answer:
Yes, the virtual image can be photographed by a camera. The camera makes a secondary image of the image that is the virtual image acts as an object for the lens of the camera and it produces another image of the image. This secondary image acts as a real image for the camera.
• When we stand in front of mirror then our virtual image is formed by the mirror. so when we click our image through the mirror’s virtual image then this image acts as a real image which can be projected on the film.
• Our eye acts on the same phenomenon. When we see ourselves on mirror, we get the real image of the virtual image on our retina.
Question 12.
You have a lens suggest an experiment to find out the focal length of the lens. (AS3)
Answer:
Aim: To find the focal length of a lens
Apparatus required: double convex lens, metre scale, a white screen, lens holder ,distant object
Procedure:
• Set up the apparatus near a window so to locate a distant object .
• Mount the convex lens on the lens holder.
• Now place the metre scale on the table and keep the lens at a distance of 5 cm mark on the metre scale such that the mid point of lens holder coincides with 5 cm mark.
• Place the white screen behind the lens such that the image of the object is formed on the screen.
• Now move the screen until you get a sharp, diminished & inverted image of the distant object.
• Mark the point on the scale where you get the desired image. The difference between the lens mark & the screen mark will give the focal length.
• Now place the lens on a new position that is 10 cm and find the focal length.
• Repeat the above steps by keeping the lens at 10 cm, 15 cm & so on to get more observations
Observation:
Question 13.
Let us assume a system consist of two lenses with focal length f1 and f2 respectively. How do you find the focal length of the system experimentally? When
i) two lenses are touching each other
ii) they are separated by a distance 'd' with common principle axis. (AS3)
Answer:
Let us take two convex lenses made up of the same material so that their refractive index (n) is same.
i) The first case given is two lenses are touching. So let us define the lens as lens A & lens B and their focal length be f1 & f2 respectively.
Now place a point object in front of the two lenses at a distance of u. Rays coming from the object after refraction from lens A forms an image I1 at a distance v1. Now this I1 will act as an object for lens B and after refraction from the lenses will form an image I at distance v.
Using lens formula:
Lens A: ….(1)
Lens B: 1/v-1/v1 = 1/f2 …(2)
Adding equation (1) & (2) we get,
Where F = effective focal length of lens
ii) Lenses are separated by a distance 'a' with common principle axis.
Let O be the point object placed at a distance u1. Rays from it after refraction from lens 1 alone will converge at I1 at a distance v1. But lens 2 will converge it before I1 creating the actual image I t distance v.
Object distance for lens 1 = u1 = OC1
where C1 is center of curvature of lens 1
Image distance for lens 1 = v1 = I1C1
Object distance for lens 2 = I1C2 = u2
Image distance for lens 2 = IC2 = v2
where C2 is center of curvature of lens 2
Now from the figure: I1C1 = I1C1 + a
using lens formula:
Lens 1: =
….(1)
Lens 2:
….(2)
…(3)
Solving [1],[2], & [3]
Question 14.
Collect the information about the lenses available in an optical shop. Find out how the focal length of a lens may be determined by the given 'power of lens. (AS4)
Answer:
An optical shop consists of different lenses according to the eye problem a patient has. Like a myopic patient uses a concave lens while a patient suffering from hypermetropia uses convex lens. Old aged people used bifocal lens and so on. People prescribed a sphere and a cylinder prescription have astigmatism of the eye and can be given atoric to correct it.So the following lists include all the types of lenses available in an optical shop:
• Plano convex lens
• Double convex lens
• Plano concave lens
• Double concave lens
• Cylindrical lens
• Achromatic lens
• Aspheric lens
• IR lens
• UV lens
• Atoric lens
The SI unit of power is diopter (D). 1 D lens focuses rays of light at a distance of 1 metre. Thus the focal length of such lens is 1 metre (100 cm). So if power is given then focal length will be:
Question 15.
Collect the information about lenses used by Galileo in his telescope. (AS4)
Answer:
The Galilean telescope consists of two lenses- a convex & a concave. The convex lens near to the object is called the objective lens & is of higher focal length. The concave lens near to the eye is called eyepiece and its focal length is less than the objective lens. The parallel rays of light coming from the celestial objects form an image at the focal length of the objective lens. This image acts as an object for eyepiece and after refraction from eyepiece, a final erect & magnified image is formed.
Question 16.
Use the data obtained by activity-2 in table-1 of this lesson and draws the graphs of u vs v and 1/u vs 1/v. (AS5)
Answer:
Let the focal length f be 20 cm. for convex lens object distance, u is negative.
using lens formula:
Question 17.
Figure Q-17 shows ray AB that has passed through a divergent lens. Construct the path of the ray up to the lens if the position of its foci is known. (AS5)
Answer:
As it is given that the lens is diverging and ray AB is the ray after refraction. This implies that the Incident rays must be parallel to the principal axis making it appear to diverge from the focus after refraction.
Question 18.
Figure Q- 18 shows a point light source and its image produced by a lens with an optical axis N1N2. Find the position of the lens and is foci using a ray diagram. (AS5)
Answer:
From the given points we can infer that the image formed will be magnified according to the heights of the dots. Moreover, the image should be erect. So now we have to select the lens. For concave lens only, diminished image will be formed of the object. Thus, we cannot take the concave lens and hence convex lens is the only option. In convex lens, there is only one position of the object where the image is erect & magnified that is the image should be between focus & O. This figure represents the opposite of the given figure.
Question 19.
Find the focus by drawing a ray diagram using the position of source S and the image S’ given in the figure Q-I9. (AS5)
Answer:
From the figure we can infer that the image is magnified & inverted. Moreover, it is on the opposite side of the lens. We cannot use concave lens as it will produce diminished image of the object. In convex lens ,if the object is placed between F & C, then only the required condition can be achieved.
Question 20.
A parallel beam of rays is incident on a convergent lens with a local length of 40cm. Where should a divergent lens with a focal length of 15 cm be placed for the beam of rays to remain parallel after passing through the two lenses? Draw a ray diagram. (AS5)
Answer:
When parallel beams of light are incident on the convex lens then after refraction the beams will converge at the focal point of the lens. We have to find the position of diverging lens so the beams after refracting from lens emerge as a parallel beam. The effective focal length of the lens must be infinity as the rays are parallel.
Using the formula:
F = effective focal length = ∞
f1 = focal length of converging lens = 40 cm
f2 = focal length of diverging lens = -15 cm
a = distance between two lenses = ?
So the distance between two lens should be 25 cm so as to get parallel beams of light after refraction.
Question 21.
Draw a ray diagram for the following positions and explain the nature and position image.
Object is placed at C2
Answer:
When the object is placed at C2 (2F) , then the rays coming from the object parallel to the principal axis after refraction will pass through focus. The ray passing through optic centre O will pass without deviation. The point where two rays meet will give the point of image formation. The image formed will be real, inverted & of the same size of as that of the object.
Question 22.
Draw a ray diagram for the following positions and explain the nature and position image.
Object is placed between F2 and optic centre P. (AS5)
Answer:
When the object is placed between F2 (in fig marked as F1) and optic centre then the rays coming from the object parallel to the principal axis after refraction will pass through focus. The ray passing through optic centre O will pass without deviation. The two refracted rays will never meet in real so the rays are extended backwards to get a virtual image. The image is formed beyond 2F behind the object and is virtual, magnified & erect.
Question 23.
How do you appreciate the coincidence of experimental facts with the results obtained by a ray diagram in terms of the behavior of images formed by lenses? (AS6)
Answer:
Convex & concave lens form images when objects are placed at different positions from the lens. The concave lens always forms a virtual & diminished image of the object irrespective the position of the object. But convex lens form real or virtual, enlarged or diminished, inverted or erect depends on the position of the object. On the other hand ray diagrams are inspired by Fermat’s Principle which states that the light travels in a straight path and takes the shortest path to travel.
Experimental observations coincide with the ray diagrams proving the Fermat’s Principle.
Question 24.
Find the refractive index of the glass which a symmetrical convergent lens of its focal lengths is is equal to the radius of curvature of its surface. (A57)
Answer:
Using formula: Lens Maker’s Formula:
f = focal length
R1 = radius of curvature of the lens surface closer to the source of light
R2 = radius of curvature of the lens surface farther to the source of light
n = Refractive index
Given: The lens is symmetrical. Therefore R1 = R2
According to sign convention: R1 = R & R2 = -R
focal length (f) = Radius of curvature(R)
2n-2 = 1
2n = 3
n = 3/2 = 1.5
n = Refractive index = 1.5
Question 25.
Find the radii of curvature of a convexo- concave convergent lens made of glass with refractive index n-1.5 having focal length of 24cm. One of the radii of curvature is double the other.
Answer:
Using formula: Lens Maker’s Formula:
f = focal length
R1 = radius of curvature of the lens surface closer to the source of light
R2 = radius of curvature of the lens surface farther to the source of light
n = Refractive index
Given: focal length (f) = 24 cm
One of the radii of curvature is double the other that is if R1 = R then R2 = 2R
n = Refractive index = 1.5
For convexo-concave lens both the radii are positive.
2R = 0.5 × 24
R = 12/2 = 6cm
R1 = R = 6 cm
R2 = 2R = 12 cm
Question 26.
The distance between two point sources of light is 24cm .Where should a convergent lens with a focal length of f = 9cm be placed between them to obtain the images of both sources at the same Point? (AS7)
Answer:
Let the first point source be located at the distance u1 & its image is formed at the distance v1. Similarly, the second point source be located at the distance u2 & its image located at v2.
Given: focal length f = 9 cm
Distance between two sources = 24 cm
For first point source:
As both the images are at the same point therefore v1 = v2 = v
..(1)
For second point source:
…(2)
[u1 + u2 = 24 cm]
Adding (1) & (2)
24 u1 – u12 = 108
U12-24u1 + 108 = 0
U12 - 18u1 - 6u1 + 108 = 0
(u1-6)(u1-18) = 0
u1 = 6 cm or u1 = 18 cm
So the lens is kept at the distance of 6 cm or 18 cm from the first point source.
Question 27.
Suppose you are inside the water in a swimming pool near an edge. A friend is standing on the edge. Do you find your friend taller or shorter than his usual height? Why? (A S7)
Answer:
Using refraction for plane surfaces: n2/v = n1/u
n1 = refractive index of air = 1
n2 = refractive index of water = n
let x be the actual height of my friend and y be the apparent height.
As the refractive index of water is greater than 1, therefore y is greater than
x which implies that apparent height is greater than the actual height.
As light travels from denser to rarer medium, the light rays bend away from
the normal due to refraction and the speed of light also changes in two
mediums due to refraction.
So my friend will appear taller if I see him while inside the water.