Biology
General
Easy
Question
In pedigree analysis symbol
is used for
- Heterozygous for autosomal recessive
- Affected individuals
- Death
- Carrier for sex linked recessive
The correct answer is: Carrier for sex linked recessive
Related Questions to study
biology
Predict from the following chart
![](data:image/png;base64,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)
Predict from the following chart
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAW8AAADyCAYAAACCs0Q9AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAEiESURBVHhe7Z0HWJVXtveTTCYzd77pJTNz79y5d+bOnUymJJOZ9GTSm4k1auy9UQWRXgVEkCYdFLBhBcQuSrOiqChgwYZYERQbggXb+vZ/cZjrJGgOB055OeuXZz+Y03h5z97/vfbaa639GAmCIAiaQ8RbEIQuyd27d6m5uZlu3LhOjY2NdK2hgRv+fePGDX4Or9EqIt6CIHQJ7t+/z2J8/fp1unTpEtWcPUvHjh6l/fsqaPeunbS9eBu30l276MD+/VR17Bi/5srly3Tz5k1+Lz5DK4h4C4KgaSC41683UX39BTpxopoqystp27YttH7dWspauoTmpKVSQlwMRUwP5ZYYF0fz5sym7MyltCF3He0oLlZivo/fi8+4qaxy9aG6T7dcRLwFQdAkEG24P2pqaqhsTykL8cKM+ZSUEE8x0ZEUHRlOEWGhFBYylUKCAmmKnw8F+HpTSHAQhavHIeR4TVzMDEpOTKAFGfMoP2+9stTL6dy5Grbg7927p/ttloeItyAImuN2czNdOH+e9lVU0Lq1q2lWShJNVQLtPnkSuThNJG9PdwoPncainDFvHuVkZ9HK5TmUsyyblmVl0oL5LSI/PTSEfL09adJEB3JzcVbvCaG5s9Mod906tuDPq99x+/Zt3W+1LES8BUHQFLCIq44epbVrViurOZqF2sNtMgX6+1NsdBTNTU9nsS7Mz6ddO0uo8uBBOnXyJJ1TFvrZM2fo5IkT/NjOkh1UkJfHgp6eOotioiJp2tQg8vXyID8fb4qPjaUN69fT8ePH2SduaYh4Cx0Gy1dLbkLXoaHhKpXt3UML58+jAF8fmmhvSy7OEyk6MoJWr1xJhw4doitXrrDYIprkzp3bvBEJ90drf8C/8dgdZVHjNXjt5UuX6FBlJa1TE8IMJeKebq7k4TpZWebTaMniRWzhI0rFkhDxFgzizp273JkvX75EF+vrqf7CBd7ssaimuyZEE8Ba03JYmKAs7qZGjhqJVda23YTx5GAznqLCp9PqVStoXzn81OdUv7yje3X7wXtra2vZXZKft4Fmp6WSj7LC4VJJio+j8rIyarIgARfxFgzi6pWrVKE6c2F+Hu/q565dQ+tz1/K/+acFNFzT2tWraFNRIR05coSuXbumu3pBa1xvaqI9u3fxRuSEsaPJdvw4Jajx6rHdHGnS2UDI4ZrJmDuHJjnaq8liLAt4qboGXIslIOItGMSJ6moOtwrw9iIfT3fy9/GioCn+FBTgZxlNXUuAjze5TnKikMApLOI1Z89YdPSA0DZwdVQe2M/hfuNHjyRnZQkvmD+PY7iRgGMssFFZXVVFmYsXKevbnieNhLhYZZmXWYQLRcRbMAh0YGzsfNG7F40cOpic7G3/6Sd0n+xi1ubh6kLeHm7KYnKgLz7vTcMHD6KZSYl09MghcZ1ojPv37nMiDXzcNuPGsKsEsdunT53SvcL4YJNz8cIMcnKwo7GjRlDcjGj2gTc339K9wjyIeAsGgZ16Rzsb6turB4tlckI8LVqQwXG2GWqgmbPBKluqrKW0mSlqsE+gYYMGcBQCEjE64hMVTA82EnPXrubVHfrbfLXaq6utNelGNH7X6dOnlIAvoPFjRtGo4UNpduosqj5epXuFeRDxFgyieNtWsp8wjjsywqz2lpZyONbJkyc4FMvcDZZZ5cEDbCXBWsNPbERZasyu8FVu3bzJyTdTAwPITvW1VDUZVx09pnvWtNy7f4/T6RPj42j4kEFkN34srVqRQzdumC+EUMRbMAiI90RlCSFUCxuDiOiwNJDIgSW2p9tk3mwS8dYQyto9cvgwpaYkkb2afEOmBtK+inKTWtxfBqs2rN5CggN5xRmsJpUjRw7TndvmWc2JeAsGoQXxRgyviLc2QWRQ5pLFvLrD95e3PpeuXr2qe9Z83Lp1izM6sXmJlpW5hMMLzYGIt2AQreINP+SaVSs5ptrSQEjXkkUL2Scv4q0dIJCwcFGHZEDfPpSSlMBp6ua0uh8E7kGk3Y8YOpjcVd/C/o85EPEWDELEWzAWqFmCFRP8yo62EziXwJKAL373zp3k4uRIg/r35Y3MhoYGk08uIt6CQYh4C8YCvu5pwUEc043Y7mNHj+iesRzgJsS1DR34BUWETeOVAtx0pkTEWzAIEW/BWJRsLybbccrqthlPRYUF1NBBXzdi++GKQflY1OrGv+91MN4fVjbKx3q6I7fBhVbmLGPr25SIeAsGoUXxRmKFxHlbNsiARTbsoP6fk7uLMx09crhDWbGoRYLQUYSyFm/dwifp7CndzY/duN6x7MyjakUwMzmJN1XjY6LZL29KRLwFg9CSeCNaARmWKAMqWDYodDY3PZUzY6cFTaFLFy/qnmk/KEZ2cP8BWpiRQX5eXpyhaW8zgbw93Clj7lw6sG+/EvAbule3H0TErFqxnHMdkG2MTFBTIuItGISWxBsF+uNjZyiLq5QHNFwnmm/NzdywkuDypurnPx//8ms10uDWwHmTUeGhnBWLhJgm9R0aAkQZfuj0WbNo2OBB9Nwfn6Wnf/Jj+venf0Z/euYZGtC3L9fr7kiaO1YEmzYW0eAB/dQ4mMBRKKZExFswCC2IN5bFiBVGVACKVS1fls2lQ48cPkQHD+zvEu1Q5UHe4Dt8qFL9/4GvPK+VdriykpNwUE870N+Xxo4cTnPS0+jmTcMs4+PHqyg9daYS1i/of3/7G/r2U0/RY489xu3bT32TfvXLX1C3Dz+gtFkzqbb2nO5d7QdVBvv36cn1faqPH9c9ahpEvAWD0IR4K0sOR14hQ2+0Wtp6ubnyaSkpifFsiWu5IdIhUbWYqAiOdoiOCKf4mBnqsdg2X2/pDX9PQiz+plgK9PMhl4kOPPEaKt4ILxwxbDD9z3//msW6VbjRHte1f//5T7lv7NhebPBJOZhw+vbqTkMG9KfjVaZN3RfxFgxCC+KNAQlrG8WEenf/lAcYClW5ODlwhTgtN/wNk50daWC/PvTmKy9Rj08/IUd7W/XYxDZfb+kN/QgrpJDAAJo6JYCm+PqqfrWKbt0yTFQXZcynV178G33nW0+yUD8o3q3txz/4HvXr04tjyg3tv3Dz9FPiPVjEW9AKWrG8szOX8jU62E6gcGWhouohLLqlSxZpukFwsjOXcHmCZ//3N9T/895c1RF/b1uvt/S2eNEC1TJoZnICBQf4K+vbj3LXrjVYvOekpdJfnn2GnnxcWdmqtSXeP/z+d6nnZ91owby5XKnQEOBX79e7Bw0e+IWIt6ANtLRhiVBBLMn37tnDgo7Nva7SUP72rddfoQA/H83/bdeuNVDehlw+2MN1kjOtyFlmsDsDK65uH75Pv/jZj+lbX3KbtLZfPv1TGjViGG3IXUdXr17RvbN9sOWtxHuIiLegFbQk3ggVTE1JpqNHLC9Tr6Msy86i999+k0JDgnWPaJvibVvIz8eTJowZzQcwYEIyBJx1iZDAN159mX724x/Rk994ggUbLpQnlCX+3X/7N3rphef5tPhDhyo52sUQyvbuVeLdk4YPHmjy+t4i3oJBaM3y7qoZlqir8e4/Xudj37T+t+H6y9TqCKnxwwcN4Nh8hHYaAuqjbMjNJbfJk5SAv0L//Z//Qb94+mf0y58/Tf/xy5/Ty397gZwd7TlL0tCzTZFliaQfFM9CKv/JE9W6Z0yDiLdgECLelkFXEm/ETeMQjeSEBC74FBUeRlevGObOQOw7BHz1ypXk4+HBbo3ePT6lPj270xdKbL093TksEWGChhaUwsSybt0atrrdXJzpzOnTumdMg4i3YBAi3pZBVxJvgO8sc+kS+uLzXuTr7Unnamp0zxgGam2X7NhOK5fn8MZkhmo52VnsVkGfvX/f8NT7mpqztCBjHk0YM4qmT5tq8KanoYh4CwYh4m0ZdDXxBihGhaPGnBztqGzvHt7M7AiwwuEagbjWnjtHjerfHS3filXCzp07aHpoCIdtZsydQ5dNfCCJiLdgECLelkFXFO+KijLycJvMZ4/CSj5fV6d7xnLARipCG3G2pr+vN20qKupwoav2IuItGESreCPOGL7DjhQQMhYo/4mY7q58DFpXFG+c1D4rJYXsJ4znhJ3S3bt1z1gGOIwYm5OBAb7U//NelBgfy756WPimRMRbMAgtWN6whMTy1h44q7KooIAmO02k0cOHUVbmUoNDBo0BKh+uX7eGbMaOopHDBnMJ2466dgxBxFswCNRGRl0Im7FjONsP9ZGx+97UdJ0aGxvN2poam+jWrWZebqO4EdKu42NjlHiXiXhrAAjh2TNnKHJ6GPXr1ZOCA6dwOV9L+fuQ7IUs0FHDhlDE9FAuCmYORLwFg8BpJ7C8Rw4dwtmLGwsLaX9FBVWUlXOsrjlb+d69dKjyEG3fto2jAOCXhHgjG84cFpIx6YriDeCCgEVrN34cn9KOKJEzZ0wbivdlsMlZX19Pc2en09CBAzg8cJsyYpAZag5EvAWDgPXh7e5Gw4cM5ky2hLg4LnA/b85smpuebt6mBhfqfMxKTqRJjg5kO24MzUpJYgvJ1H5JY9NVxRtUVR2jmcnJNHbUCBbK/LwN7FIxF5cuXaKC/Hxym+TMcehIIsJjHY1cMRQRb8Egqo4d45RzH08PmuLvR+FhoRQbHUUxaFGRZm9xM6IpMjxMTTDuvMRFnO+Z06c6dKSWJdKVxRt+7vKyMu5bsL6nBQfSls2bONTP1MAdt2XLZgrw9aURQwbRFD8fjh83JyLegkFcvHiR6yBDFFHJLjszk3Kyszm0y+wtCz+z+ZqWLFxIKC0Klwmy9cxlJRmLrizeACfpwDUB4UYyTNi0qZxgY0pXBaz9nSUlNCMqgv3crpOcuJjVFWV1mxMRb8Egmpub6bLqvDi3D5uVOEXEEtuJ6mrO0mu42kB3uqC4dXXxBph089bnkpvLJBozYhhFhU9nQb9yxfhJMRDukh07KGJ6GFv/cN+gYmFdnWmzKdtCxFsQNIw1iDeAWOYo0XR1nkjjRo2gsJBg2lhUyCnqMCQ60x2G1RnuJfzZxcXFFDMjmg8vRpErrDTr6uosYgUn4i0IGsZaxBvijNT27KVLyWWiI40ZOZyCA/1p9coVVFl5kMNCb90y7CDhB8Gxa8hZQPngLRs3UWx0NIfEerm78UnxWGlaiuNNxFsQNIy1iHcrZ0+fZrdFgK83OdiOJ28PN0pMiOMsX5xqg0qCjY3XWISbbzdzdFFbVjIew3Ow2rExik1QWNTYG4GLZk5amrLup5Knm6uaJAJozepVdF59tiUh4i0IGsbaxBsWODbLEXWCqKJJjvZcoiEkOJDmzk6jDevW0q6dJVR58ABVVx+nc+dq2JLGe1ob3CEX1GNwueCUeZy6v7NkB+Wq986fM5vCQ0OUpe1KHq6T+UBk+NcvXqy3uM1uEW9B0DDWJt6tNDQ0cDJW1pIlFB0ZzsWhsJno5+VBMyIjaN7sdFqWnUkblBWNolEbVSsqzOeKhZs3baSNG4tYrPEaZOFGTg8lP29PtuQD/X05qWtZVhbtKy83WxLO1yHiLQgaxlrFu5UrV67QvopyJbSZHIUS4OOtxNePNzQjI8IoNjqSQ/zgAgkK8GcXSETYNIpRj0crkY+OCOfXBvh4UYCfN8XFRLOgo5RCgxkTgvRBxFsQNIy1izfAIcWo1X340CEq3rqVVq7I4XT65KSEFotaCbOzgz2NHz2Kw/1Q62aKvw8/hyxJZONi4xP1eo4ePcKfZUmFsB6GiLcgaBgR73/l7p07fLQZClmVlGyn/A3r2ZLGYQmpKSmUNmsmn7iPk+kL8jbQrpIddOTwYd6MvHNbW3VvRLwFQcOIeH8V1NvGvbh16yZXukT0CXzkSPZB0g3+jXR3PIfwQhQrs7TNSH0Q8RYEDSPibb2IeAuChhHxtl5EvAVBw4h4Wy8i3oKgYUS8rRcRb0HQMCLe1ouItyBoGBFv60XEWxA0jIi39SLiLQgaRsTbehHxFgQNI+JtvYh4C4KGEfG2XkS8BUHDiHhbLyLegqBhRLytFxFvQdAwIt7Wi4i3IGgYEW/rRcRbEDSMiLf1IuItCBpGxNt6EfEWBA0j4m29iHgLgoYR8bZeRLwFQcOIeFsvIt6CoGFEvK0XEW9B0DAi3taLiLcgaBgRb+tFxFsQNIyIt/Ui4i0IGkbE23oR8RYEDSPibb2IeAuChhHxtl5EvAVBw4h4Wy8i3oKgYUS8rRcRb0HQMCLe1ouItyBoGBFv60XEWxA0jIi39SLiLQgaRsTbehHxFgQNI+JtvYh4C4KGEfG2XkS8BUHDiHhbLyLegqBhRLytFxFvQdAwmUsW03tvvUFTg6boHhGsBRFvQdAwsLzfefM1sbytEBFvwSjcvXOHrly+TGfPnKHTp07SKW6nNNxO0unTp+hcTQ2dO3eOzpw+zY+1/Vrjtxq+jhqKj5lBr/z9r+Ti5EjVx6v42tp6vflay31ruV5138603jdL7A8t13T27Fm+VrQrV67Q3bt3db3ashDxFoxCw9WrVJifR3PSUilj3lxavGghW4labUvU9S9amEEL5s/jtmhBhln/puysTFqWnUWTnSeyeA8fPJAWquvKWZbV5uvN1R68bxkWcN8e2fhaF9DCjPk0Jz2N0tNm0aaiIrp27ZquV1sWIt6CUTh18gR5e7jRZx9/QOPHjCK3yZPYOnSZ6KC9pq7bXV2/o+0E6t+nJ/Xp8RnZjBtj1r/JdZITuak2evgQ6vXpJzRkQH+a5OhAbi7Obb7eLE133yba2VD/z3up+/YpTRir+oK6Rkw6bb7HjA3XNUn9HDZoAL371hv0xisvUmCAP1vgloiIt2AUDh7YzyL31z8/Sz6eHpSUEMdL/LgZ0ZpruO5kdf3BaiC//vLf6a9/+oMSbmcz/01R3JLi42hWShKlJMY/8PiXX2ue1nrfpgUH0j9ee5me/+MzLI645oRYy+sLuK7Y6Ejq17snff/b36THH3uMhg8ZRCdPnND1astCxFswCvsqKqh390+pl2olO3bQ+fPn6XxdnWbbBXX9ZXv20Bef96aP3n2LNuTmmvVvqqur5VZ/4QJdunSJLtbX//PxL7/WnA33bf/+fTR0UH96/+03adXK5eq+tf1aszd1XdjTCPL3o59+///RY0q8Rw0fKuItWBcV5RX0ec/uNGLoYKqrrdU9qm0uK5EcO2qE+rs+o8oDB3SPCl9HY1MT2duMo56ffUJ7Skt1j1ouSfHx9O8//RE9qcR73OiRdOrkSd0zloWIt2AUYHn37dVDWVwD6ER1te5RbVNz9ixbYr2UCO3VgAhZChfU6sBm3Gjq/smHtL14m+5Ry+T+/fsUGx3F4v1NEW/BGmkV7yEDv6DjVVW6R7UNwgNHDhvC4l26a5fuUeHrqKur441KiPe2rVt0j1omCAuMiYoU8RasFxFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0YBRFvoRURb+Mg4i0Yha4o3qg4h9omvbt34wqDgn601jbp0e0j2rG9WPeoZSLibXLu634KlsL+ffv+Kd7Vx4/rHtU2YnkbhpYs73v37n2lMNXpU6d0z1oWmhPvO7fv0PWmJj5brr6+njtGa11jlOzEkUXNt27pXi2Yi8qDB7moPaoKWqrl8nXcV//dvHmT+9SN69eporyMBn3Rjz796AMqKsinmzdu0HX1+O3bzbp3CG1x4kQ1jRk5nD56721atXIFXb1ylccqzjhtbGyk5mbLun84mKFVvHEKFKpJWiKaEO87d+7w4EHx+2NHj6olaykVb91Khfn5tHbNGtVWU37eBtq8aRPt2rmTDlVWEg5nRcfAidoo8yg8HNwfWBx3797he92RhmWn+kAq27uX63kPHtCfjh45wr8Dz7X1nvY0HGyMzzHWd4rPhZhAsGvOnqGDBw9wn9pTupvPOez2wXv0j9deoZnJSfw3oh09cpguXKijGzeut/z9Vg6+JxhYOCAChzFgouvXpxe9+uJfKTwslLaocbppYxFt3bKZ9uzeTYcPH6La2nPUqO45JsL2frfou/ideC++O0MbvrsbakKOnB5Gv/jxD7ie9+gRw6jq2DF+DlrS1vv0bXg/PgfX2xlYtHjjS8QgwrJl7549lLd+PS1ZtIjSU2dSQnwsRYWH09SgQNWmUETYNIpTy52ZSYm0cP58FvSSkh184zHDd9YN64rcUisVrGJOKgsJQnTs6BE6duyoQa3lBPMavv84v7KPEvCiwkL2F8P33dZ79Gq4JtWqq4/z4Q43lEXc2dxRgwuCg3uwfXsxrVm1kg/OnZmSpMQ6mfy8veiNl1+kF5//M7lOcqa0mSk0O3UWLVm8kAryN7BljvMOIQBWiRqvMJh4vJaWthhXq1dTrLJkP3znLfrLs79XluxIio4Mp5ioCIqPnUGp6h7i0N/ctWtoZ0mJGq9H2Sq/145JEOO76lgVG21H1ERgaMMp94cqD5KvlweL97cef4wG9vucNqqJBqfeH1X9r6336dMOH8K1HebfcfXKFe5rHcVixRuzFFwipbt3UebSxfyF+/t4k4+XJwUF+FHYtGAW7OnTplF46DTdv0MoeEqAep0X+Xp7UGhIMM2fM4et9DNnzvASWPgq2FAq3raVT3mPi4nmQZUYH6dabLtbclICzZ2dzkL32st/o7def5W/kznp6ZSUEN/me/Rp8bExfF1z0lP5VHpMEJ0JRKdKreogOGmzUigkOFD9DZ40xc+Xpk0NYgEK8PVhl8kHb79Jbi6TaEZkBIUowyHA11v9jf58nWtWr6KDBw7QZRgMVmSFY7xiZYyTcrKWLqHoiHCa4u/L9xEHUeO+vfuP1/lQYviUoyKm/8t4RX/BOJ4/dw5t27KFRe6WnuMVm8ezUlK476bOTOYJoeVn+9qCjHl8HujIoYPpt7/6JT39w+/Rpx++r7QllBZlzKf0WTPbfN+jWwpP8smJqu/HxVDmksW0r6JcGaUNuqs3HIsUb1guVVXH2BUyO20WdwJnRwea7DSRpgZO4RuclbmE1q9bSxuVVbdZzYz5G9bTiuU5fGQ/hNzdxZkm2tuqWdSTUhITaLWyog7s30/XGjp+07oaWJ2kqY45Si0R31cWEtrHH7xnUPtEdfbPPvmIRft3v/k1/f63/03v/OMNfqyt1+vbPnj3bfpQtcED+rHVhgOOOwOs7rDq2L1rpxqgGSwgONnc0W4CebpPphnqdy1UAzdP17+CAwPYMoNFvmbVKp5MwqZNJS93Vxap6aEhtGhBBk+GZ5XBAFHr6sAowqqqQE18s9NSecLDQcM44R5jEZMu7g0EOjszk40pHq85y9QqOlWJ+FRyUysZZwcHfk2ymuThG8d33NBwVfdbHg4EcUDfz2lQ/7783bk6O7Wc6t/OhpPu8XPowC94pfDOG6/xpruDzQTyUM9N/tLr9Wmu6nqgRTZjR1P/3r3IycGOVi1fzvt0HcXixBubQNjswgCAOyQwwJf9ZOlqeYplLI5ROrB/H2+CwE926eJFXmZdOF/H0QCHDx2iXTtLaEPuOjXAWizJqWrAYXaHnxKDtEEE/F/ApBaqrMs3X3uFfqaWiz/54ffp6Z/+mH7+058Y1n72E3r6Jz/iz/nJD39AP/+J+iz12M8N/MynVfup+hx85t+f/wsPMqzIOgqEG6uOjUVF7Od0srdjEYGAZ8ybQ3l569nXjX0WuGrOnj3LrhE8BvcNxBnL7J07dtCGdesoQ1mNEKspfj4UMT2UBQiH196503UFHC43uASWLFrIVjb+9nBlUUPEsQrZWbKDKpSliTEJCxmbfwg2wIG/cK9UVlbya3LXrGGrG0LP1rhazcBIw/vgZngUOKX+1b+/wIdDQysiwsJUfw42uMFAxCHEgX5+fC3TgoJangvW/WxHw+oCKzSXiRPpPWXE9OnxqVqZprFWdRSLEm90BMQHz0lLIx9Pd/JVy1b4t2FZnzp5ql1WDHzcGJilaqDBosLS1nXSRIpRSzbM/CLg/8eBfft42f/iX5+jbz35DXryicfpKfXzqW8+aXD7lmrffuopbvh3W69pT8M1fVv9fPZ/f6esOkeehDsC+gcEGafAT1OD0nbcWCXcTrzMLdmxnS7UX2jXxtndu/fojBKj/PW5LCburi4UoIRsyeJF7LPHhlpXA+MV1vG8ObPJT61wfdSKBC6CjYUFLMztGa/YiMb3gfG6UBlugWq1jX2FmOhI2rplkxL8yxz90xaYbF998QXy9fSgkpIS9p1vU2Pc0Fa8bZsyEotph2rb1b+hF229Tp+GzygtLWUNQvRVj24f8yq3M8IPLUa88UXDwoGFjeUG/I3LsjK541+9esXgXfympiY6ffIku1iClBVvO34MRYZPZ99cU2OT7lXWDcQ7KMCf/vbcn+kbjz9Gjz3WOe3xxx/n1tZzhrRvKAF/5n/+h5fkHRVvuEoK8vPYUkQ4GIR27ZpVvOEK/7choI9eUqvAivJymjUzmZwc7XkZv1hZpdhzaW8UhSWDyej4sWNsRWLSg3DCfYExDMvaoPGqbg+PV0yCGzaoPhlAdhPGqfEaqizwHXSt8Zruhf8H7ikm37fUqnGWWlnju2tSDYEOhjb+DHUdaPh3W6/RtzVea+RwUkTVjB01gnp++gkbCJ0RPmsx4o1lBHad3Vyc2X+YnbmEd3g7i0uXLvKOtp+3B9lPGE9J8XHsnpEoFLhNYHkH0N+V5f2NJ55oUzgtoX3jG0/QH5Tljcm9tAPiDR9tcfFWtu5GDx/KG+D5eXl0+fIl3Ss6xl3Vpw4c2EdJifFkbzOOPNwm08oV8HPW6V6hfU6r8Qqx9nRzIU+1yliqVhidGc+PCWDDulxeMTuoewh3Cqz8L7ugWLyDgtglgVBOS+V41TFysJ1Avbt/ypZ3lxFvxIRic9LTzZXFe/mybBbuzhZWJPJgowQuGWyAovPVnjvXpSwiQ3hQvJ+0YPF+shPEGxYh9kUS4mbQ8MED2H++edNGtbr7+o2x9gDLFGIzMzmR7G3Hk6+PJ/8exPtqHcSzb1ifS95qHHko4UZ0ySllLXf2eL108RJHFmGDGKutpYsXchTKg+O11fJ+983XeRPZUkH4qb3N+K4l3ujM+ysqKCYqiv+4pIQ4tsKNJaiI481csoh3jwP9fFnMscyyZqxJvGHRLV6QQRPGjibb8WN5ow0b3sYAfbvy4AEOJxwxdDBHUZw8eYJua9j/jb/p2NHD7IseN2Ykr2CNYWi1AvfW8pxsjlaB0bVOrZ4fjKN/ULwR6mqpYFMXLqAuJd5Yqs6bk85LCmyamaJwzfHjxyhtZjKNGzWCd4M7Y/NAy1iLeMPqhph6uk2mLz7vw8KDEDdjrrwgaggpnGhny6FziJjCBKJV6usvUPbSxeo7cCAv98m0ZfMm3TPGAd8NJgcELiD+GuMVUT6t35mItxnBBpGH6ySO30U8LVwbxgZptIUF+WrZPIijDHbv2mXVvm9rEW9sJq5dvYpTnseMHEGbigpNEoeNTbykuDgaNWwIhQRO4fBBrYIsRljAY0cOo3mz0zsl5O3rQNmGvA25NEKNV8RJ7yop+RfrG0lUIt4mBgOnRFnao4cPoVFqVkWIlqlEFJ0QIWejhw+jVStWcCiStWIt4n1IDaDEuFh2mYSHhnKstilAtMHGgkIaNmigEr3hVL53r+4Z7bFl82YaMuALGj96BIuovlmQHQVZid7uruxazc5cyntVrYh4mwH4n1fmLKPxo0aQj4c7W+GmArU2EtRAdna0p1kpybyhYK3AlYDEhK4u3iiGBN8pNtrgOzXlhI1NUmTqDR88kLOCtRj3DWsXWaYD+/Ulj8kuHHFiKmDhw9J3V6t01NuGwdGKiLcZgGAiqN9FWcApiYl04cJ53TPGB9EF8EVO8fWh0OBAXgFYKyicA7/hiy8836XFOyc7i10mYdNCuEiQKQUUlmKwmiDHjx7J+QvwHWsJrIixN5SensrxyhBQU/rurzVco82bN3FcPvYsUP+kFRFvM4DUV6Qlo+DPcmWBo5iPqUCsLwLnI8NCuWbBMrUUQ1A9AvO/HGhvnNbAJTCxpEa5244mAxjSEGWDa0ACBGpKvPDcX+ibSiDbEk5LaB0Vb2QCft6zBwtPZ8V06wvKOCA5A5uWSETDhGnMjdLOBhMd9oaiIsP5b1i0YAH3HVOB33/kyBGO3EGgwfp163TPiHibBSxjg6b4c00EZLs1mLAzIPLg+PHjFBeDeN+B7DbAKR+YUIrVT9M0pM9u4wgbFDJq+zXGazt3bOffuzBjHtmMG0N/+sMz9NSTT7YpnJbQOireKUmJ9MkH71FCbKwSA9PWG0GWMBJZELOcEBtDe/eUGpaFaCYQIliQl8eJTdiwRKE3GB6mBCtzVArt36cX54K0IuJtBpCYg6p/qCq2detmtnpNCTLekhMTqNuH71Pf3j14IkFVOGzeGbOhUBbcFIEBfuw7hCWDcrfT1CSGSaSt9xijhamBgOJf8Pt/9vGH9Nv/+jV9+6lvtimcltA6Kt4QzfffepPjrU0NquOtyMlh8UO51JLt2zUl3lipYmMfLgt/Xy+usvhgxIcpuH69iSs4fvrxB7R00ULdoyLeZqEl29GDRQSnaphDvJHC/PH771L3bh+Rh+tkvh50UGM2pP/DTYEsT5SdfPmF52jMiGFczwUbam29xxjN28OdrwXlKj967x36za9/xYWk2hJOS2idIt5vQ7zjdI+YjhbxXsY+2+iI6ZoU79UrW8Tbz8eTMyxNLd7Qh9CQFvFGclUrIt5mAG4T1OpGcg5OyTFlpT/40HBqR2x0JA0Z0J+tYKQvIxQKP43ZkNgAF83K5Tls8b78wvMc+YJNGDzX1nuM0fC70FDKFOFzf/rD77u42ySBPnn/HYqPiTZZiFsriGxB7Q1vD1c+IxGF0bTnNtnA+1MQcPRdUxpb2B9ADWz4vPv27smbz62IeJuBXWoAou6xl5srL4OwqWMq4K9DucZpQYFcMB1VB00Njm+CaHb/5COuaWwurCXaZP5cbFh+xjW362pNW9MGYbFJ8bHkZGfLEVaIdtHahiVv8E8PI0fbCXxaUkMnnAajL5g8EB6IlcvYkbJhCcwq3keOHOaC6+gMsIARe20qIJwrli0jHw83ClZWtynS8r9Mw9WrvFHY/ZOPO1zitCMgZNMaxBubXKgiiFVWWdledgWYChxCEKiEZ8zwYcpQWaS5CoMIFTxRXU2paryOGDJITYChdPFive5Z44MDGWD5w9WH4nXbtmzWPSPibRaQrrx8WRaNHDqIrV+kEZsKTBRYvqLcZCLKTR7snGO12gNO1kYtabhOEPVhLqwlw3Lzxo3k6TqZJk9y4tBU9D9TgRPSbdVEPajf55SXa3p/cWeA8NLspUuob8/uNNnZkYtsmQrUN8Fhz9gnwuELqJneioi3Gbh77y6L1oghA2nYoAH8b1OlxyOrEBPGqGGDKWvpYrNYQiLe7WsdFW8cDIwJm9Pjw6aZzFhobr5NRYUFvLeC4kqluzp+hJs5gJsH9WAwAY0aPoSPJDRVohOOUkMtflSChEg/WExOxNtM4Dh9Zwc7PugzY/48k4ho861bHFeOg0YR5bFt62b2qZkaEe/2tY6Kd/2FenaVIcty/JiRLKjNt4z/vSOfAKfqD/6iH/l4uXMlQ61y4MB+Ph1o6KAvaG46zmI0fkVObOyiMBUMLTu1Ukagw4NlnKWqoJmA32xmUiIPKHRs1H3A2XjGApb90cOHKSEuhsUbcbfV1eYZTCLe7WsdFe/bygIuLyvjAxj69W7JtDxy6LBRV3vYGIev3dHelhzsbChTrfJwqpNWOX++jg8KhgUM3zNCBo1ZmRGnEp2oPs6bvYO/6MuRadVqMnxws1fE20zA4kVWY0hQIFvBM9SAgmVirAGFU6uXLFxAkxztyd1lEq1asZyQqm4ORLzb1zoq3gARTYiUwKYbKvyhDDEOqjYGt5RVj5P5AwP82eqOjgznKBNTlKE1Fs3Nt9iFAVfFcHUPcTJ6VdUxo7lPsBJHFUFY+86OdpSTlcUnb7UCERfxNiMtRaJW8tmSqK+NeFjsbHe2gKNWOOLJkdE4dtRwrlKGwu6m8rN/GRHv9rXOEG981/h7UdQfrjpkl27aVMR1dTozdO+2MkrgY0dKPlaVTsryRlKaKSNcjAXq8KxauYIPUIEgZcyf22IN3+vc0EdMtEjJx0oJBb3SZqVQ9ZdcTg+K96IFGbpHLY9jR490vWPQWjl+vIpPf8ZyDEf+L12ymHezb93qeGeHz+x8XS0L91Rl4Y9THQHB/ntLd+Pb173K9FiSePPp8c//hZ5oQzQtpeFk+2d+13J6vKHiDZCgs7GokK05WOA4nRz+73Nnz7LodhQkr6BefHpaKg9YuEsWKQu/K53YhNXx7LQ0Fu9JTi3nwZ7i8dpxlycOX8AKuaggn6aHTOVCVHCX7N696ysWPsQbq/a3X3+VC49hckbDmLeEhmvBNSJAAmHBvT7r1vVOj8eXflAtMbEMg/vE1UUJ+OJFfIgrLHNDrWMcloqi+7nr1nJ8L4Q7wM+HNz2umTCjsy0sRbz376vgE9Rf+MufLV+8/+e3bC3v3lmiu3rDuHC+jjcv4TpDn0Dyx6oVOezWgGVpCPfUYEX+wN7SUkqbOZMm2tuRrRI3DFa4FuBz7ypgvGKC4rMs1SoW1vHiRQt4tYFSsRAuQ2hqauS6/hty19FUtRq0GTOayzYjwKCtErStlvcbL79IsTOiuHgVWk3NWYtotbXnuIIlMprhZurR7SPVH5K7lngDzKo4nQNZl7BY3JQFjs3MTUVFPNPjy8OyEz7DtjoHBB6fgY6FAQhLChbagox55OfjxTvVEG5Oxe/k08INwVLEGxNk6FQ1AF55mX74/e/Sd7/zb/SD732PfvB9C2nqWr77ne/Qj9S/McFAKEqVFdYR7qu+UltTQ8uzs/nzEPrmNsmJZqrVH6o9nlV9BxY0+tIdZQl+xaWi/relv93m18AQgKuvqDCf0+8n2tvyJJOqlvq4v3fvmsc1Z0xu30aZ2J3K4AonR7W6mDxpIqUkJ1KhWsVgskJiDVY5LeP1q3//P++feg3GKxKZdu7cweUakIYPqz7A11uN19yHHhKN7wUG3z9efYk3UJHIg7ZuzSqLaMjchqGIZETExyPDd256aqccH2dR4g2QvLB3zx4+Rd5JWS5oIUFB7AffsmUzD4QTJ6qprraWxRy1sGFdo+QmxPD06VOc7o1081XLcyhOzcb4UtERUJEMN/LSRdPWcn4YliLe8MdhksTxVq+//BK9+tKL9Marr6j2qoW0V3TX9DL17dWTa7Af2Pd/J6kYCsSj5sxZLriEUq0oDQwrHIc1rFy+nCcIhLKePXuGo6KQpIL+iQgS9D0s7eEKQX/DYR7YWAudGsjCDcMDURnIXjVHGKqpwP0o27uHfftOjnbkaG9DwYEBtEiNVxSbq1SWOM7sxMYj7hnu3fXrN3g1fV71/1Pq/h1WFjzKE6/MyWHrGQlAduNbxivcWzhBHpPlw1gwfx6XiYXLFeMdDROKJTSsTBLjYihAGY+I80dS4PLsLNavjmJx4g1gycAPi0gA+GId7Wx5kwp1v1HIfpn641FOFgNmX3kZVVSUKbHezgkEq1etoPnz5nD9Cg9lUWEgIQQR4oQUeEuwuFuxFPHG0q5QLUsT4+Mo0N+PoyNQmtaSGq4JJXsxGLC53ZnxxRDhgvz8lrodyoLEd4IKk4gOWaD64Lo1q5UQbaLS0t18liLCDXHealFBAUcroWZKZHgYV4R0c3HiEscID+SoKQPdB1oC4xXukkUL56v+48P30MVpIqHEMeq4tIzXPL5nuHfIjty1cycLM9+/ObM5aQrjFasVjFeUai4u3kZXlFH2dSBZKCoinFP2U1OSucHStZQGN0lC7AwKDw2hOWmzeLWCyaujWKR4AyyHatXsBEs5PjaGS5d6uE2mYDWII9QgQ5x2mvqSEDEyd3Ya3yBY6zOiIrhGdWudbAwkCDp2wy0tRMtSxBt1knEeIYQJYZvoXLA6sUFkCY2vRV0TWnnZXo77bWzs3IM74CI5ePAAZWUu4c1sWM6ebq40bWowx4PPTE6k2Wq5C6FGcgr82ElqssOSHRtmKOeLiQ8p3LAiESnxFVdLF6ZlvJ5jQcbY9HJ3I/fJzuz2gDBjDOOs2Dnq3iFUE0ZYcmI8RUeFs8ijUiHcV5hAccI/Jj5MCvoAK3bPnlI2zlr7iaU1eALQsHGJWPnOWI1ZrHi3gqUWNkZgVedkZ/LAgYWImshhamAF+fvSFD9fJdgBPPPGxUTzzLtwwXzKXbuGXTCwrO5ZoM/RUsQb7oPbt5vpps4l0OqKsqj2z+u6wbHG9+51vkWLyf3cuXO0R1nYa1evpoVqOT4zOVlZ+1FcTwMrP2zsooWqvhcVPp1L+c5JS2XfOUr6Hq861ukTi5ZA6VvENG8sLOCIMVje8crqxMoEkxw2HzFesccSFdFihM1W92/p4sWc8AOrHOOiPRue2OdCv0W+BspKW2qDXx97drjezpjYLV68W7mr/mDsImPmgtCtz11LOVmZtGDeXGUNzeVQJRzNhM1N+ODg+4ZFaclYingLX+XatUb21aIMamFBPi/vM5XALJg/l4+NwyHCuWvW0NbNm9n/3mIgdH0Xib7AGIAljkgmVACEIZW1dAllqLGKZJpstcKBOwr15Pep16BQXFeIgTclmhFvgNkKVheWuDiZBDvQ2MxA8g1SjrG7DasHncDQUCVTIuJt2cBggKWPjUpYlHCFoL+hNjf6HvyWqLGB5b01uUj0BSs63BuE/+FeoYojTs3HPcS/EWQAaxSvwWuF9qEp8e5qiHgLgmAoIt5mRMRbEARDEfE2IyLegiAYioi3GRHxFgTBUES8zYiItyAIhiLibUZEvAVBMBQRbzMi4i0IgqGIeJsREW9BEAxFxNuMiHgLgmAoIt5mRMRbEARDEfE2IyLegiAYioi3GRHxFgTBUES8zYiItyAIhiLibUZEvAVBMBQRbzMi4i0IgqGIeJsREW9BEAxFxNuMiHgLgmAoIt5mRMRbEARDEfE2IyLegiAYioi3GRHxFgTBUES8zYiItyAIhiLibUZEvAVBMBQRbzMi4i0IgqGIeJsREW9BEAxFxNuMXKyvpwljR7N4by/epntUEATh6xHxNiNXr1whm3FjqPsnH9GunSW6RwVBEL4ek4r3/fv36fbt23Tjxg1qamqkxkbrbE2q4R6cqK6m0SOGUbcP36eC/Dz12HV1X5rafI81NtyLmzdv0t27d3U9SBCEVkwq3hDuqqpjtL24mIq3bqHt27axu8Da2g7195ft3UPr1qymfr170jtvvEapKclUtqeUSnZsb/M9VtXQL1TbumUzle7eRXW1tboeJAhCKyYV76tXr1LGvLnk4jyR/Ly9aPq0EAqdGkTTgq2rhYYEU+yMKPLz8mDh/vvzfyYHm/EUEx3J96St91hTCwuZqvpFMLm7OKt+4kmbN27U9SBBEFoxqXifq6khRzsbelGJ1ahhQ3hgerq7kqfbZKtqXupv9vfxIicHO3rzlZfor39+tuV+qMe8PdzafI81NR9Pd/JS9wEbua+//CKvSgRB+FdMKt6nTp6kQf370ksvPEdJ8XG0aWMRFRXkU6EVto1FhZSTnUV9enant15/lRLiYvixooKCNl9vTY3vQ2EBTbS3pef/+AyFh03T9SBBEFoxqXifPHGChg78gnr3+JT2VVToHrVeLl28yKGCiDaBr1v4V+akp6mJ7RURb0FoA7OI9+e9ulPlwYO6R62XhoYGsh0/lnp0+5h279qpe1RoZf7cOfTOm6+JeAtCG5hcvIcNGsCWd9nevbpHrRfJsHw06amz6O03XqWI6aG6RwRBaEXE24yIeD8aEW9BeDgi3mZExPvRiHgLwsMR8TYjIt6PRsRbEB6OiLcZEfF+NCLegvBwRLzNiIj3oxHxFoSHI+JtRkS8H42ItyA8HBFvMyLi/WhEvAXh4Yh4mxER70cj4i0ID0fE24yIeD8aEW9BeDgi3mZExPvRiHgLwsMR8TYjIt6PRsRbEB6OiLcZEfF+NCLegvBwRLzNiIj3oxHxFoSHI+JtRkS8H42ItyA8HBFvM/LgYQw7thfrHhVaEfEWhIcj4t0B7t+/z+3evXvtangPOF9XR+NGj2TLe9vWLfyYIZ+H1notXQkRb0F4OCLeBgCxbGxqokuXLlH9hQvtb/X1dL3pOh2qrKQRQwfTx++/Q+vWrKamDnzmBdVgyV+7do2am5u7hJCLeAvCwxHxNoCm6020f/8+3UG5hXyQ8qaNG/VuWzZtorI9e2jF8hzq9Vk3euPlv1NifBztLS1VFvjWNt/zda0wP582q5/l5WVUW1tLt+/c0V2tdhHxFoSHI+JtAHV1tbRoQQaFBAVSTHQUpSQmUEpSot5tVnISZcybS5Hh0+mDt/9BL/31OfJ0c+UzG9NmprT5noe1meqz8DNafVaUagvnz6Oysr10/fp13dVqFxFvQXg4JhXv06dO0fDBA1m8y8vKdI9qj6qqY+Tr7UFDBvanQH8/SoiLpSRlOaMlqn9/XcPr0mfNpMjpYdS/Ty/q9uH75Ofl2SLcaiJo6z0PaylJCfx5eL+jrY26Hl/akJtLV69c0V2tdpmdlsriHRkepntEEIRWTCreJ6qr+fT4Xt27adryPnhgP00YO4r69elJs1KSqSAvjwrzW1pB3oavbXjd5o1FtHbNapoRFUGhIcGUtWQJbSoqosKC/Dbf87C2qaiQPw8CPsnRgdxdJlFOVhb7v7VOmprg3nr9FTk9XhDawCTifQf+1/tE+/ftowF9+1CPbh/RzpIdume1x76Kcho1fCiNGDqIfc3nz5/nmG208+frvrbhdfX1F6i29hwdPXqEDh+qpLNnzrRsPOr5Ga0Nn4P35K3PpeApAeTl7sYTAR7XMugzmJDeeOVFmho0hW50ATeQIHQmRhHv27dvU1NjI126fIlF6djRo1R9/DitXrmCen76CX3ywbu0ImcZXbgAEaunK1ev8uC8e/eu7hMsG4j32FEjyG7CONpfUaF71LyUl+2luBnRFODrQ9lLl2pKvCHU8NE3qH6ACa3m7FnuM5iMXnvpb+Tm4qwm/gp+/FxNDV25coWuNzVxPxMEa6VTxRvhaQ0NDeweKd21iwoK8mnliuWUuXQxZWcupdjoKOrbswf1+rQbxURF0prVqyg3dy1HS5Tv3UtnTp/WhIVlqeKN+6s18YYIYyN7755S2rJpI+WuXUOrVZ/JWrqERfvj998lB9sJvEG8Sj2+VvUZRPeU7t5F1VVV3N+6VnS7IOhHp4l3861mtoxKdmynzCWLWUiweebn40XBQQEUHRFO00NDaLKzEznZ27HIBE3xJz9vT2Vh+VNCbAwty8pUIr6Hrly+rD7Rcodkq3jbjh/Lk44lsKd0N0+IWhFvWM1wE+3ZvZuWLl5E0ZHhFBI0hTeAQ4ODeDM3wM+HXJwcVR/x4oiTsKnBFKSenxo4hTcxF86fS9uLi6mm5izdvHlT98mCYB10ing3NTVS5cGD7AqJi5lBQQH+5K8GnK+XB00NDqTE+FhakDGfxTlnWTYP1vS0VA5tC/D1Ji+3yeQ+eRK/Pjk+jjfhzp2robv3LNONIuLdMZCgdPTIYVqnrGy4erzcXWnSRAfy8nClaaq/IHpn3pzZ3F9WLs+hnOwsDq1E35geMpV8PN3JRb3eXVnmEWGh/Lr96juB26WrZZkKwsPosHhj2bpXWcuzU2eRhxJgZ0d7HoCLFy6gooICJSqldKjyIPu8z5w5TXW1tey3RLgdXA7bt22j1atWULwS/cnOE8l23BhlWQXw8hiv581OC0PE23Carl/njWuIMSbsceo+Qrgh4ugHu3eVsCGA/oGVHDZj0V+OH6/ifrRXWepwrSQnxJPrJCcaPXwoOdrZcMjkrpIS9ocLgjXQIfFuuNpAO9SyFda2k4MdTVLCHRMVQRvW59LJE9XUrOeG0tWrVzi7EAkmsKrsJ4zjn5lLl/CgtTQBF/E2DLg2ECKKxCKENUJ4vZW1DSEvg7vsCtxlXw9KABzYv59XcIhvHzVsCNmp7yIqYjpt3bKFDQpB6OoYLN6IJtm9cydn9tkoaxm+yYUZ85TVdEANroZ2Cy4Gdl3tOdpYWKCWwtO4VCosK2xcnTp5kuuJWAoi3oZRdewYx8Vjo9fB1oaiIyM43h0uslu3bulepR+o3wKrfHvxVnazwHjAdxIVEc4JYF2hPIAgPArDxPs+cVElbEpi2YuogCXKCkKUyb37HRNZ+C2x6TlDDWxYUx6uk2nl8uUWlXQi4t1+EBIK/zVcJA4242nunNlUUV7OVnRHuHHjOlVWHqSlSxazAYHIFJQZOHHyBN23oAlfEDqb9ov3/ftUf/4CZanBMkFZx3Bx5GRnK+vpnO4FHQdWGAQyMS6GByPifbdu2czCbgmIeLcPfJ+wsBFVBNfanPQ0OnXqlO7ZzgGJUtjY9HZ3Iy8PN54oWqKWBKFr0m7xvnXzJm3ZvIkCfLy5FjWy4FCzpLP3+OFGaRUkhBYiMqVCLYctIZZAxFt/EP2B/oFrwz2Li4mmI4cPG8UNho3NBfPmks240RQU4MffE9wrgtAVabd4IzYXBZHGjhxO4aHT2L9orPAsJOzs3LGdPF1daNTQIbRk0cKWpAwzh4OJeOsPrN/169bRRHtbspswniOQjLl/UVFeRt7K8p4wZjRvhGLiEISuSLvEG6J58MCBlsExdhTlrl1LN28YNzkCEQgIIxvweR8KCwmmysoDZk+LFvHWnwP799H0aSHcX1A+F2nvxgT1XhbMn0t248aS6yRnrnEuCF2Rdon3xYsXOcYWG5TIjsTytz1A/A2xulATxcFmAkefrF27usObXB1FxFt/CvLz1CpthLK8bfjf7fruVH9B1FJ7Vlpwk5SX7+XEn369e9LCjAyzr9QEwRi0S7whWsiWRLoyknAQqqUPGDw44gsJOqdPn+Yju7CJpe+gwlJ4RmQk2duMp6TEeN6cMici3vqB7xehnn16fMbZsydOVOv1nSNKBIWqas+1JOfU1NTw/+s78V9WqzWUY/jskw8pPnYG3bhxQ/eMIHQd2iXe+RvWc73owAA/3rSEIH8d9+7eZdcHqsKtz11Hy5dlU0FBHh0+dEjvZAoshVHmdMzI4eTv48UTgDkR8dYPbDoj8xYlgFGTW5/+AhBVhP6yeuVKWrRoAa1YvpyTexAuqk/4H0Qe6fW9e3Sj0JAg3sgU61voarRLvJHRNnTgABZvCJg+O/nXlEBvL95GcTOiyNHOlkaPGE6TnBzZgkdWnT6DEVY6KsnhFB6EJh6vqtI9Yx5EvL8efK+YdBPiYmhg3z40KyVJL8sZ+xkHlHCjUNnY0aNoyKABNGL4UJquxB814BHXrQ/IDRg1fAgFB/pzNqaUjxW6Gu0S7zlpqdT944+4UuCRw4f0yqI8ffoUJcTHUI9PP6Znf/87+q///BX96Q+/54N3ly5eqD5Dv0EFoR8yoD+NGDKIixqZkwfFG+GLlgBKqlqSeEMs0UeQbIV8AEQK6QNKJaD064B+n9NvVF/51X/8kv7jF09Tt48+oIz5c+mCmhD0AacbIWknODCAdmzfrrfVLwhaoV3ijeI/7/7jDd4Mwgkw+hyegCJDzhPt6bf/9Z/01JNP0GOPPUZPPv4Y/f63/8XW+G0943BRlGhQ/740UA1quFzMSat4W+JhDFP8fC1CvG/dvMETCkq7ouAYBFkf1wXKu6bOSqE3Xn2ZnlB9Bf0F7bk//YFrl1Qfr9LLgscJ/b5enkq8p/CqzVISvAShs2iXeM9MTqT33mqfeB9RQuupXv/cH5+lH33/e/Ttbz1F3/9/36G/PfdnmpmUqCw0/cQbIYoQ70H9LUO8x4wcxvVXcOjEHWVlYhWCn7A4Tdlafy9cCkhkwmayJRyDduvWTXYp4YR8uMlwKIc+QLznzE6jjz94T/WTf6Mnn3icvvOtb9I/Xn+VXSkQb336HQ74QEgrsnM3b9oo4i10Odol3nPVoMIxZv4+3nRYT7cJIkwWzJ9HI4YMppf+9lf6w+9/Ry+/+HcaOWwol33V9+iz0tJdNGRAPxo1bDAdPXJE96h5wGYaxHvYoAG0bs0qruly8uQJjqY4UX3cpA1uKfxeWLZwmWBibbG863VXax7QN6rUBI/Y7vGjR9FiPd0mKOmau24tFzv7yx//QL/59a/oj8/8js8LzcnO5KPz9LHg8zasJ2cHew5pRa0ccZsIXY12ifeyzEwu4wlrBuF7+lSCQ8QBxBblXlG/GdYqlrMoZIWNR30GIn4PYoRHqgHs5GDLtcHNCVw4jnYTqH+fXhQbHcmntSOKBrU1limBMWWDaOP34mQZxFJ7uqGQVw5dunRJd7XmAd/rxYv1lJQQT1/06U0papV1V68NyzucyDN/3hxytLejYdikthlHabNS+NR+WPT6kLMsi/sLDi9GETVJkxe6Gu0S701FRXxsGU7KQZqzPqF+GMSwwhCvm7chl7KzlnKRIhTax3JfH86q1+IMQ5uxY/igBxxqbE5w5iKyBlHbBScBwV2B8qaILTZ1g2WLnz6eHrxBh5A8nESEsrzmBoI5Nz2Nen/Wje/XVT1dF4jLxmEM65UFvlh97+vUCu3IkcNsPesz2d+9e4dmp6dS317d+fi083V1er1PELREu8QbFjQqwiHWGi4UnPStLxBwxOmidnPD1faddoK64aij4ursxIWHLl0yb3lY/B18mktSAluEEKi5s9O5zTN1mzObfy8OOEibNZNPozl8uJILiFkCOBoPoYKYXJCRe7tZvwmb+4v6ns+ePUMX6+v1ctEBaDT8/djc7NPzU0qdmazXClEQtEa7xBuWNk4qQbZcgJ83VVSUG92igU98WVYWVxYMCZxCO4q36R3raywgBvA179+/jzcv95Wrhp9mbHBjwa0A3zvC7ZAcZQls315Mbi6T+ODpNatWshAbE1jtJTt28Apx/JiR/DsFoSvSLvFGiNbpUycpdGowp6ojguCykX2r2KCKi45mX3uasqJqa2r0TpM2Fq2uoJu3bvJEgtRtczdUYMT+AiJQzH1/HgSbqVituThPpMjpoXzSkjE5e+Y0Z3UiPBHuLFS9FISuSLvEGzQ2NtLCjPk0UVnCU5UljHhaY9WOQFo9YnT9lKU/2WkiFeRt0DsuXLAMmpoaOfsTKzUHuwlsCTddN07kR7NaEeHQDk/XyXwCE/qLsS19QTAX7RZvWHZ79pRSxPQwzpxDEgZisPF4Z9J4rZGKt22lGZHhHK8Lv7K5o0yE9oNVyuXLlzg71952PM2IiuD+09mhe1gJYU8mXVndOM8Sh2JjlWhJqxBB6EzaLd4YjIgaQIy2o50NR1zMVgPzUOWBTtsYQulZ+C0h3A5qwCOaYn9FudEsfMG4oM8gmQmRHzjDEqfpICO0sRHlYTu+ZwJ3EcJOkU+AMNSwaVM5Mae5WTYqha5Lu8W7FSSIwJcJAYelg119bGBC2O/dM2yzDNmWCAvMU8tdxC1jkxIbT0i4uC5JFpoGm90biwr4fMkJY0dzwaqtWzZxNAnE1xCw2rtwoY5Kd+/iuif47EB/P+4viDEXhK6MweKNGF7E3s5KSeYaH462NpyIUbx1K9XV1eod2tUKNt0Q27tieQ5XLYRFj/CytatWcZyuoH1qz52jRQvmk6O9DY1V32+gvy9veiPpCdUn28ONGzfZjZaXt54nemdHB3avLctcynkA9++Lu0To2hgs3uDu3Xt0cP9+jjFGKjKscPjAN6xfR1XHjlL9hXredMTpKdjo/JemHoM1hkxAFNvfU1rKiThI74ZlhnDENStXinB3IRD2eUz1i3lzZ3N5YJQX8HB1odlps/isUljhLf2l4av9RTX0I6TPo+RCRXk5Z+n6+3rT6BHDuH4K+s/J6mq6e8cywiQFwZh0SLwBki6QfAF/o4+nO3m6ubakjGdnUWF+Pm3buoV279rJEQdY3pY+8G8UU0I0yZrVqygtdSZb3C5ODuyzLMzPaym+b+Q4csG0IPsR2baoDQ9LGYcS+6ifs5IT+bi7r/YX1dTP1v/HJva6Nas5MSkwwJ/3RDzcJvPJTsfVyk3fWjmCoHU6LN4ALpKTJ6o5NAsZfxDviLBQbqgxjYMXcOJ87IwobjiaCo/Fx8bwJtbUwACuu4z3LV28gAcvIhSErgkE9syZ07SxqJD3TaLUam1qoD+HnmKTGvVQkhLieGMT/QU/0V+SExM4WiUkaAoFT/HnrFsc8gAf98mTJ9vtqhMELdMp4t0Kok1QYQ8W93y1NEa4FgQc4gz/NQpT4RBhuEam+PlQSHCgGoAhPEAXZsyj7cqqQrF9sbatg+bbt+nM6dO8T7JoYQZvYiKRB0lg6B8osoU+g58oyTAtOEj1p2k8yc+bk06FBfkcZSJRSII10qniDWD9IOsSMbblFeV8ogmWtLCauIhSZIQapLEc94sSn5s2FVHlwf1cqKq9m1aC9kEcNr53nDOJOu04GzU7cyn7wXECU8tKLYZryGQuXkRFhfl0YP8+ttyvXL4s1rZgtXS6eD/IPWVBw2+NEp84QBbukF07S2hvaSnX4Th18oTehxAL1gE2JbF6g0DjJJ5WfzdqqMOnDcEWBMHI4g3gAoGPEzG5SG1HiCH+DYvJ0HhwoWuD/oL+0dpnuL+oJpuRgvB/GF28BUEQhM5HxFsQBEFzEP1/FL/LDDWSCVkAAAAASUVORK5CYII=)
biologyGeneral
biology
Equilibrium of gene frequencies is
Equilibrium of gene frequencies is
biologyGeneral
biology
Given below is a pedigree chart of a family with five childeren. It shows the inheritance of attached ear-lobes as opposed to the free ones. The squares represent the male individuals and circles the female individuals
![](data:image/png;base64,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)
Which one of the following conclusions drawn is correct -
Given below is a pedigree chart of a family with five childeren. It shows the inheritance of attached ear-lobes as opposed to the free ones. The squares represent the male individuals and circles the female individuals
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAS0AAAFjCAYAAABosV3yAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAN6CSURBVHhe7J0FYFRX2v633eq2Xfn+a9+6f+tdqWPxTCYzGYm7u5OEYAFCIBCc4O7uLgnuHhIkhBgQ4u4Gz/99z2Ro2qXdShTu0x7GZ+5M7v3d5z3nPe/5BiRJkiSpH0mCliRJkvqVJGhJkiSpX0mCliRJkvqVJGhJkiSpX0mCliRJkvqVJGhJkiSpX0mCliRJkvqVJGhJkiSpX0mCliRJkvqVJGhJkiSpX0mClqTnVo8ePUJ1VRUKCwtR+LAAhQUFeEiNL3uz8TYUFT5EbU2N2EZJn5QELUnPrWoICgvmzoWjrRZqSwuo+khTyMzgbG+D9WtWo7q6umNrJeklQauH1dTUJHbE8vIyOpsW4v79e8jNycHtmzdx8cJ5XDh/Djcy0pGTnY0H9+/Tc4pQXlYmXtNMr5XUdSovL0dESBB+8eMf4Bf/+0P85Q+/w9/++Af89Y+/79X2q5/9L377q59jQvw4lNHfXtInJUGrB9Tc3ISiokIBpU0b1mP29GkYM2okQoMC4ObkAGuVUpxdLc1NRFPKTMV9Hi5OCA0OxJjRIzF7xjRsptdevnRRvFdzc3PHu0v6qqqoqEBMZDj++dc/IcjPB1s2bcLBA/uxf++e3mn79onLyRMnwNRwiLhksEr6pCRodZMeP4ZwR5m3b2Hbls2IigyDhYkRTIYMEpdyMxPICVAqhQWc7GzFQTNyeAxGj4hFOJ39Pd2cYatRQWlhLp5rYWoE4yED6boxoulA20rvefvWLdHv8Zg/TNKXFkMrKjwU7/3z75g5bYro3+oLOpJ6GForBSZNSJCg9RRJ0OoGVdCOxmFe8qyZsNWq8OG7/4LBwA/h6mSPWeSydu/agdOnTuLmzRsoePAAZaWlqKqqRF1dLbW6jvCxXISPdzIzceb0KfGamdOmwtPVGWZGBhj84ftwsrfF/DnJuHThAr2+bxxw/UmdoTVr+lRxAugLOnY0VYLW50iCVheqtaUFNzIyMGVyIkyNBuOdf/yNbP5ghAX5Y/uWLaKPqoXCuq/ijPg1HBKWlJTgSMphCi9HwEpujnfpgLM0N8W85NkEuNtobW3teIWk/ybJafVPSdDqIjFQDh08IPqo3nn7r1DITDF+bBxOnTiOqsqKLh+6bmxsIDd3HgnjxorwkQ+84ABfnDh+THT2S/rvkqDVPyVBqwvELujIkRSoFHI6AN4WfU4cHjY3dX9nOY8ocvjIn8lhqJ1GhUMH9ksjjV9AErT6pyRodYFu3bwJPy8PGAz4EHNnz0JxcVHHIz2n0tJSzJ45HYM+eFeAKzXlEIWKLR2PSnqaJGj1T0nQ+priDnAemjYxGCw6xXuzQ7yqshLJs2bgw3f+KUYfuX9NGln8bEnQ6p+SoPU1xP1UR1JSYGlmgmFDI8lhFXc80nvikcv4uNEY8P47wnnV19d3PCLp0+KMeM7TkqDVvyRB62uovq4OkxISIDMxwo5tW9HW1tbxSO8q7epVmBsbwt5Gg6ysO2K7eFRRah83/k1K6CQTGRosQaufSYLW11BpSQkCfX1E9npGenrHvb0vTq2wt9bg33//C4ZS+DN5YgImjh/X6y0xIR5JiROpTRDXn/acnmr8m8SNHA7jwQNFRjznaUnQ6h+SoPU1xJUBnO3tBCByc3M77u193b93Dy4OdmI+3c9/pJtX9/P//UGvtl/+5Ef42Y++jx9+9y388HvfFtd/8ZPe2y7+TX5Bl//7/e/hb3/8vZgmJUGrf0iC1tcQZ7KHBPpDrbDAhQvn0Vf6vPPz8oT7G/j+O5hBYc/6dWuwfu3qXm0b16/FzOnTyNX8GR+9+28xW2DDurVPfW5PNP7sJYsWiqoK//rbXySn1Y8kQetriJM458+ZTSHGAMyfm4yGhoaOR3pPPDjAk36NaJtCAvxQWVnZ8Ujvi+tEDRnwIVRyGYXWpR339p5aWloxPHoo3v+X1KfVnyRB62uKqy4oZWZwsNEi7dpV3UzpXlRGRjrcXRwx8IN3yU2s6VNJpll37mDQh+9DYW6KvD4QTkspD/1TErS+purr6zBtShI+eOefdACEiaoOvcWt27duigoRf/r9b+Dv44m8vJyOR/qGJGh9MUnQ+nxJ0OoC5ebmIDI8BP/6+18QGRaC62lpaG9v73i0+9Xe3iY+Myw4EP/48x/h7GAn5iD2lRQMvSRofTFJ0Pp8SdDqIrHL4fSC9//1Nny9PHD0SKo4CLo7I53L2Bw+eADe7m746L1/IzI0BFcuX+pzwGJJ0PpikqD1+ZKg1YXi0sm888tMDKFWyjEtaTLOnTmD4qKiLq28wCVwKmln5v60qfQZPAKmtDATgwH38vM7ntX3JEHri0mC1udLglYXi6fNHD50AMEBfiJxkauURkWEiSF2dkCcjsDTfXieID+Xs7M/S+3klhobGsTBVFxSTEDKQ9q1a9i9cwcSxo6BVmkp6nVxnfPjR4+goaFvT9npy9DqS0UAjx5JkaD1OZKg1U16+PAh1q5aCRcHe1G1dNCH74mKo56uLhgVG0tn9mlYtXyZANDJEydw9cpl3LyRIRa4SL9+HRfOncXB/fuwds0qzJ4xXWRve7q7CBdnOOgjAUR3Z0cBQ04l6A/qq9B65+2/YeL4eLFNfILg+3uj8YmML3fu2AYruUyC1mdIglY3ivuVcnKyxbzEhPix8HBxFjsjuyOe0MyJln/70x/ENJKBH7xDB7OJCPWMBn8kCgm+/ef/E537nCTKCx3waxl6CfFjsH3rFrGKT1/su/os9UVocR0yzojnevyJE8YLxzVj6pReaVxOmy+D/X3FSU5a2OLpkqDVA+KET+7TqqSD5EZ6Onbt2I4Z05IQEuAv6rw72GrhaGcNZwdbuDjawYmu82RnRzsbkXE/c2oSnX2342ZGBh1o5eK9+uMinn0NWjyIwX1ZvHiIzNRYXPaFxpPdNRT6L1+6pM/0s/UlSdDqBfGIIvdlNTY2in4tXasTi1roF7fg23w/P4ef+yzUxepr0OLflfPqOD3kSGoKUg8fQkofabxNvPalVMjxPyVBS1KPqa9BS1L/lAQtST0mCVqSukIStCT1mCRoSeoKSdCS1GOSoCWpKyRBS1KPSYKWpK6QBC1JPSYJWpK6QhK0JPWYJGhJ6gpJ0JLUY5KgJakrJEFLUo9JgpakrpAELUk9JglakrpCErQk9ZgkaEnqCknQktRjkqAlqSskQUtSj0mClqSukAQtST0mCVqSukIStCT1mCRoSeoKSdCS1GOSoCWpKyRBS1KPSYKWpK6QBC1JPSYJWpK6QhK0JPWYJGhJ6gpJ0JLUY5KgJakrJEFLUo9JgpakrpAELUk9JglakrpCErQk9ZgkaEnqCknQktRjkqAlqSskQUtSj0mClqSukAQtST2m3JwcDP7oAyhlZnjw4EHHvZIkfTn1WWjxMvC8LHx1VRWqq6vpUmr9udXX1ePK5csY8P47sDAxQvr166irrX3qc6XW/1oVHaeNDQ3iuO1u9VloNdAPMGfWTAT4eMHPywO+ns9m4+8W6OeDIGp+Xp5Pfc6z0AJ9feBoZ4M//e5X+Nsffw9ne1v623o/9bn9ufHfkP+W/Dd9lv+eT74n/V15H3ZzcsDyJYvJaNR1HMHdpz4LLSa3RmmJ7735On7z85/gj7Sz//G3z1b70+9+jT/8+uf44ffewve/8yZ++4ufPZPfk9uffs/f9Zf49U9/jF/97H/xh9/8kr7rr5/63P7a/vT73+B3v/yZ+Fv+8Hvfxu9+9XPxN37ac/tz4+/521/8lL7nG/jR/3wHv6fv+cuf/BCx0UPFcdvd6rPQ4pDQTqvG23/5I1YuX4ozp07i9DPWzpw+hT27dsJgwId4759vY+2aVc/k9+TG33XThvV4l74nf9+tWzaL+5723P7a+PtsWL8W7/3rbRgO+uiZ/I7c+DutWrEc//r7X2BuZIAd27fi5InjyLqTiba2to4juPvUp6Flo7bC+//+BzJv3+q499lTXV0dlHKZOJBz857tEbWHBQUYQt9TRd+3tKSk495nSw/u34fBwA+hVshR8ox+RxYD6qP334GDjRaVFZUd9/aM+jy0+Kx19crljnufPRUXFcHS3BSDP3wfN25kdNz7bOp5SHnIvH0bgz96H0oLc+Q+w2kdadeu4sN3/wVbjUqAuiclQauXJUHr2ZIEre6XBK1elgStZ0sStLpfErR6Wc8TtO5mZT2BVn5eXse9z5YkaHW/JGj1siRoPVuSoNX9kqDVy+oP0GptbUFhQQGys+9+5fag4AGOpB7GB+/8EyYGg3Hi+DHk5+c/9blftN29m4W8vFzwrInHjx51bG3vSoJW90uCVi+rP0CrqLgIs6ZPRZC/ry57ny6/bAsNDoSbk71ITuSMeHdnR4QE+j/1uV+0+Xt7YsSwaBxNTUVzc3PH1vauJGh1vyRo9bL6A7TY0diolfj9r36Bf/71z3j3H3+n9rev2Pi1X+f1H7f/+82v8A5dLlm0UMxT7QuSoNX9kqDVy+oX0Mq6A61SDjPDIZgxdQqWLV4sQPFl21JqyxYvwlJqT3v8izZ+/WK6DPTzFUm5ixbMk6DVw5Kg9RRJ0Oo74lQFDUErwNcbpaV9J8t725bNBAczLJg3V4JWD0uC1lMkQavvSA8tfx8vFBcXddzb+9q6eZMErV6SBK2nSIJW31FnaBUVFXbc27viuk1bNm2UoNVLkqD1FEnQ6juSoPXFJUGr+yVBq5clQeurSYJW70qC1lNUU1PzBFrXrl7puPfZU1lpKRQyMwz56ANkZt7uuLdvSYLWF9edzMwn0Mp7RrP+WZ2hVdDD9f77LLRqa2thQz8IQ4t/oGdN7e3taGttRV5ODixMjTHg/Xdx7uwZ1NXUoq62Do2NDWilx/uCJGh9cWVl3nkCrfz8ZxdaXONfDy2uk9aT6lJoPX70WIQ7XLTv1s0b1G5+pcZz1C5eOE9hk4mojrh961Zx4DztuV+s3cBt2qaS4uIeqaz4NLW0tKCW3GMpOaubN25g/949WLl8GeLHxuFff/szfv/rX8DVyR7Do6MwIX4c5iXPxrYtG3Hl0kWxU1RXVaKpqZHeqfsXDvi0JGh9tjgTn0sMc4jE8yn57/rhO/+EqeFgpBw+hOy7d8U+mJOdI9JFeDGPlj5yMvqy4u9aU12N8rJS7Nq5QxybcjrhHklNFcfszRsZuJGRIfL6igoLRRdPc3NTx6u7Tl0KLf5SSxYugL21VoQ8VnS2+SpNZSkTwPrz734talEbDxkk7nvac79Is5SZwFqtFImNlRUVHVvb/WpoqBcQT7t2jQC0CZMmJMDP2xPWVkrhrkwMh9BZ+QO8+8+/E7j+gn/85U/499t/xYD33hHfWUG/gbWVAh4uThg1fBhWLFuKs2dO435+vth5HvXQfDsJWh9LB6lqPHxYIPpaN61fj/Fj4uDm7AAt/a3MjIaImulc/97c2JD2WwvhuqxVSgQH+GHG1CTs2rGdnEoa/ZZF9HesEXM7+6Ia6STJxwvvb+fPncXa1aswdvQo+Hi4QWZqhP/77a/w9z/9QRzrPGOCv7/WypLclxW86TnjxowWr7lw/hxB/R6qKiu7BGJdCq3GxkaMjI3BL37yY7z+8jfx2ksvfuXGr//eW2/gf779Jt549eWnPueLtle/+QL+9/vfw+jhwwVEulN8MPEZ5npamgC4r6c7LMyMYTRoAAZ98C4GUuMdeAT9TksWLsSGdWvp4NsgDsDNGzeIOuob16/D+jWrxWpEIUEBAuBcptjEYJDYWZztbAQAT508IUr6cqjZnXreocWTsdlN3UhPJ9e/GYkTxsPTzUVA6d9//yt+/fOf0L76LbGfvvX6K/j+d7+N//fdt/Dma6/gjVdeEu3N117GD//nO/jDb34lSojzScvf2wvTkiaLdQK4P7OmtkZ8r95UW1s7yivKBZDXrFopjmcn2t+4MgcDmftejQYPgK1WBS8PV/E7ONvZwtHW+kmzt1aLfZZPvGZGBgQ1U4oiHDBm9Eixv/OxUUEwfPToq+23XQ6t+LhRYk7Yq6+8jG+++GKfaK+8/JJYAWb82DEiROwu8Vn42tWrmDIpERqFXIQJH/z7n1DQgRUdGYFVFA6eO3dGVCaorKwQISO7pU+3x491l01NTSKkYGgcSTmMubNniSXVzGnnYTfGO9HIYdE4ceyYAGV36XmGFjuhc2fOIGnSRGhVCjHX8Xe//Dm+/723CFKv4DXat1556Zt4+aWX8BJdvvTNz2u0L9Jz+DVvCIh9F7//9S/x/r/+IQ72ObNnEiyu9FqoW1ZeJvazsXEjoZSbY/CHH4gmMzFCgJ8PZs2Yin17dhG8r+MeuS8OiZ/W7t+7J0ZRUyk85n2WJ9nL6cRtMPAjOvl+ACu5DPHkwo4fPyrg9WXVbdB66Zsv4Rvf+EafaN988QX88qfdC62K8nJxEDnQzvcehXvsrKLCw7Bn9y7kZmcLm80d719HDDEebeTQgvu82I5zaGlB7otvZ9PndIfrel6hxf0yPK+RDzheDoxd/+t0Mn65A0B8QnzhhReeus99XnuRXsOv1UPsW/SePyAIcgUM7jpgp11eVtaxFd0vPkFy39skcpDs5j945x/C0bPL2rFtK27duomyslJxfH9ZiX2WXnvr1g3s3L5NVOXg/ZVXnzKlk+6sGdPESfzL+MtugxafeZ72B+uNxjtHd0KLOyaTZ84QoGLrPJZs8NnTp1FFoOouu887A+9Ms+lzFRbm5Or+haiIMDHS+qiLwfW8QYvfmzuTJ44fR+HfXwSsvkWhHu/TXwVS/60xxF6h936DQssfUGjJXQh8EuK+pO7af/TikxxHB1Hh4SIq4LVG5ybPEv2w7N67sk4Zfxfui+UUplkzpouTAddXGzksRoxGtrV/sUEyCVpfU7wSNq8BZzJkIFwc7XFg/15RlK6n1EzwunDuHMKDg0RfSUigH9Jop+hKx/U8QYtH9njkOjw0GH/83W/w7W+9LroXugNWn24Mr9dffZkg+Qb++dc/YeyokbqDuZtGvHkf4X2H65J9QPtOeEiQ+O7czdHd4pPuqRMnaJ/ypPD4bfh5e+D4sSNo+AJ/RwlaX1NHj6ToDmj6w1++eBGPuvnM+FnKycnB8JgosQNwWJpDdr+r9LxAi8P3o0dSRacx94G+Qe7qRQrjnrZPdVd74YVviP7g7775hkiD4T7M8+fPob0bwJVGDivY31eccCcnJohqsD0tTo8aS8zgQSru7ti7e/d/haYEra+hBw/ui7OTtUqBk8eP8ZHU8UjvKCc7G6GB/vjovX9j8YL5qKur7Xjk6+l5gRbnGfFwPo9+czjIzudp+1NPNO7Uf4tc3q8JnkPDQ7t89SI+DuJGxIoaaYsXzkdFRXnHIz2v8vIyJM+aIVJ+PF2daX/L7Hjk6ZKg9RXFBw2fFcyNDcRISGVlz66y+1k6c+qU6EzlTOU7XTQt6HmAFof5fPD+4y9/xLffeJ32mW8+dV/qycbH0HfeeE2chLgMT1eFbfzbHdi7B4YDP0QEhcEPHz7seKT3lJOTDU83ZzG6uHnj+s/NXZOg9RXFO/mMKVNgaWaCnTu2o7WXMu0/Lc5D46XKh3z0vgh1eGTo6+p5gNb9+/cQ5O+Dn//vD/Eq92F9o/dclr5xPxr3cf2K9t3R5Iq6akSR5/VOmTQRxoMHYsWyJWhp6f36+px0unjBApH3FhsThbLP+a4StL6iuLM9NjoKVhYykfHbV8TQcra3ESNBWzfx2fnrZyDrofUsVy7lvhXO5v5/33lLpCM8bT/qjcaO73tvvgEvNxdwVnlX6GHBA+Gw7G00OH3qBB73wtSwp4nzDT8kV8mFEnj0kk9MT5MEra+o6uoqMU+QpzCcPnXyM3/gnhZDizOYOQVi+9YtXXIW1UPL18tD9OPxqBOPaPVm48nknM/E2dZdAa0bGeki1P82hWN9DVpvvPIy7K01yKUQqivEeVF+9LfkcIy/d1/RlcuXYGI4GHKKXniJuc+KEiRofUXx5GXO9uU1/HjBhob6ho5Helc8aVdtKRcLPoizaBfANCvrDtQKOUyGDMKUyZOwZNECLJw/t9faogXzCVRzxHA5V1RYOP/rL2zBnb92GhW+/93v9C1ovfRNcn9vitHprqqmwEmznNPHWfi8j/QVHT96VPTf8fJyd+/e6bj3PyVB6yuKzwIphw6JTm+eCNvT5TmeJp7LtX3bVjHFx9nBVnRudoV45IoPGk6n4HIkvGPxZ/RWE5///jt45x9/hczEEBvWrqF97+udNIoKHyKaDuRf/ewnHX1aT9+XerJxv9qrr7yE3/3qF5g8IaHL8v/4OJ09c6aYnrN6xXIxnay3xdvAJySOEHhuZ21tXccj/ykJWl9DJSXFYjja3MgAu3du7/X6VzdupAtYMVhWrVgmqkx0hbi22cnjx7Ft62YxisV9SX2hcUf8vj27RVkUDhm/jnhkbtOGdQKInCPVF0YPX335ZXznzdfF/sVlbr7uNLDO4sn2HPJz31ZuTk7Hvb2njOvpoo+NJ5IfOnjgc/+eErS+lh7j7NnTsNOq4Wxvi9TDh7tsWPrLiF0fpzfEDI3Au2//TQwQcN+TpC+nAvrNYqMi8Ydf/xJvfuv1Xg0TOQv/u2+9gT///rdiTmB5edfmUdXV1Yl5f1ypYua0KSju0uPiy6ngQQHGETe4zE1kWMh/jVokaH1NtbS0YsP6dWLOoUapEKVluE5SV6QafBHV1FTjSMohMbLHKzdHhAQLx9VTn/8siefZXb50Eb5e7vj1L36Kb732Kl588QV844Wn71fd0TjNgcNTLsv0p9/+mkLWcNy+dROPHnf93zM3NwdhIYEiN2ralCRxmwdZekr8WTzIMy5uNN55+69wIKd14sTx/+qaJWh1gerprMXxuNGgj8QCFex4DpPFLSws7BbnxZ3rXAHz0sWLmDRxvJh4+j5PPI0dhts3b/IzdE+U9KXFsOey1zwX7v8IGt/79pt47dVXhOviKTZP27+6pBGsuNP9jddfxQ+++xa5jv8T+5EY3evGPyfPNXRzchATl0MC/HDowH5Ro+3rhtufJw5zef3M3bt2inpzXO7H0c5G5BV+kXxHCVpdJHY8e3bvFDlSXIaWnRd30K9dvRIZ6ddRSjsC9w21tn21fgmGH3fEcsVMTrGYPDFBjOjxZ1lZykTp5r4wGPAsiE8KGenpmDBurBid5ITT7771LR28aF/i6T1d0VHPEOT3eunFb+J1em+uJsFzHrlUM4duOT0wF7CN9keeM8vT0bgkjTHtt9xPu2PbNtHXxfvsF62+8Hlqa20TSa081Yz7RcOCdQ7vw3//E8OGRuLy5UvkvL7Y50jQ6kLxZGlOUpw/d46oTvoOhWs8EZQTIDmbnKtU8tmF7T5DjMt0cN34z2oMqaKHhaKUB4edbKPdnBxFZyWfGTmvKIEOLD5b9oWs5mdNnIHOZbK93V3FAisMlP/5zlt461uvCci8TM5IQIxCyP9WBYIhx895gZ77IkGKjw+e38jzCznN4re/+rlY3CQ0KAAHDxzo1qKOTxOvqLN86WKRYMs12hgonHowNWkSDuzfJ8I4ceKl/bKVRxv/SyoNOzWOQHhNhDu3b2Pf3t1ISpwAVwc7MVuD3ZWdtRpr6KRe+CWnEUnQ6gY1NTaJPzInP0aEBomSszyUy3WSDCmEVMllCA0MEFMpZs+YjlnT/7Px/RPGjyP77CEqPXI+GNeTNxw0QFQhmJc8i85OF3t8537exAcfOw4us8x/S3bQf/m/3+FnP/4BfvC974jwkSH22qsvi9E+rtDw1PbyS3j9FYLUG6/Ta94Sr/35//5IdD5bmBiJaToHCQ48gNJbwT3PnuCTLtd193R3Efvre//6u0gvYTfP5Y9mz5yOXTu3izmuPBPkP9q5c6Ke/EEKMznpNyI0RKzvwKOy7xKoBhKY/Sn05rLLnP/3VRb5kKDVjWpva9edae5kiiFrLqcbEuQvStkyhNgx8UKtT2tycxORR8MZ97xIQGLCeHHg8PQGDgOb6LeW1HPivi7uhzl54gRmTJ0iEjMHffge3vn7X/HXP/4ev//VL/DLn/wYP/nB/8OP/t/3qH1XtB/T9Z//+Ieijvwff/tr/P3PfxQDJhx2upNr5mJ/7JS50kFfEYO6oOABUlMOi2IAXO+d5wS+8/bfBXQY3JyfaEAn4EEfvCfgxo2vDxn4ochq5xCX68mzQ+XFWvg94sfE4Uhqith/v06Hf7dAi4v36wun9YXGNv6XP/1xj0Pr0+Lfh4eueRHP82fP4tDB/di/d+9T2769e0QNbU5lYFvOVruvTBV63sV/Cy5PzJ3WHFJNoxCKywgH+HiLDmV2xlxSWE5NYyUXqylFkuPg5eK4wi0ndPLBy2teNjb0jZkUnyXuh+IKudytsWj+PEykk2d0ZJg4kfIKPBxF8KIrHE4yqDQUXvJiF9GR4aLfdenihdi7e5d4D36vrlCXQ4tLDbPT+vZb38KbZIXZDvd2e5PsO9clio+L61VoSXr2xAMkDDFerYcrE/DcT57bx+v/8UguV4/gJGRewIEPWq4O0hcy0L+s2Glyldy6+jox75ZPvnws3buXr1tb9EaG+N7sRrkvkLsteGpVC/0+XX2y7VJo8Zfi+Xi8zhtbSOMhA/tEMyDLyqHY/DlzxAIUkiRJ6r/qUmjxggo8UnDsaKpYPig1pW+0lEMHcZTseFZmpuhslCRJUv9Vl0JLkiRJkrpbErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErQkSZLUryRBS5IkSf1KErT+Q4+pPepofP3xk/+eqNNV/XOA9o6mvy1JkqTukAStJ+oMn1ZqbXSrjdDVLhr/+/gxPc5N8Ez//LaO5zd3NN1r8ZieJJ5PNyVJktRlkqD1CTFh9C5L19hh6f6l/xhEAmrc9NcZWnpwdQDryXO46eEmSZKkrpAErU9L76b0ToouBavE7Wa6qEdzcyXq6yvQ1tZIt/UAE0/quGSX1kKPNeDRoya63fk5nVvHZ0iSJOkLS4JWJ32aV3hE/zwiuLS343FrMxrqS5Cfn44LF47gxMlDeFCQh9a2ZnoKBY/0XN1rH9HLWtDUXIMHD+4gN/cW6uqq6M0IZI87Woc74+dyyKlvkiRJ+u+SoNVJzA3mlI4ffIVg1FyHmtL7yLlxGcdT92DlyoWYv2Am5sydjgMH96C4+CFaCWiPHrWRA2tCVVU5qqrLUVJSgJTUfdizdzuyc26jjpxZS0s9vT+5NXZhFEqyS2PgtbfrXZckSZL+myRoPZGOVvyfDiAEoYYqZGVcwL7NyzAncSRGDxuKGTNmEYj2YfmypZg+fQr27duNgoJ8VNeU4MaNKzhy9BBu3kpHUeEDXL50Eamph3AoZQ/OnTuGouJ8Alwtwa0a9fTebQJ25Myo6frLJHBJkvTf1P+hxQc7OZbHZJEoigOblnY69nWd5x2d4vR4e1srWptbqLWiubEZbfREHSLoX9EvxeFaK9ra6tHYWIrykhxcOZ+K+TMTMCLCGwFuNvDx9MGqNZtx8+Zt7N69HVOnTsbEpMnYvmsHjp84jLUblmH1+uW4ln4RpSX3kJl+FTu3bEDy7CnYQPdn3r6EnJw0XLl0CpcvnkZFWTFtTwMqy0vpeinBjCDGmyP+ewrIOl2VJOl5VT+HFh3cFF6B+5TaHhEAgJZWanS7jQD0mFMQHregvrYKt2+kI/PmTTy8/xB3M7NRU11DUCDY0fMetTairaUGVRX3cSPtJFIPrMHmtbMwefxQhAW6YcK4EQgPDYS3Xwg2bd2F+w9ykZ5+HuvXr8T4xMmYv3g5du/ajj37tmHb7k3Yf3gHUlN2YsWCGZiRGI8VSxZi29Y12Lt3PbaSa9u8YRX20fNvZ6ThVvo1HDm8H2lXL6Gurpagy7Ci7RIQ5cbbyN+TvopkxiRJ6v9OSxdekS+h1tZGbquNAPa4Ga1tNWhoKENNVQlupl/B6uVLkHJwP+7l5CLjWhru5WahvobcTWMlHubdxJUzh7Fn83LMmBiDocH2CPBUwd1BjvBgD6xdtRTjxo7GsBGjKPw7gpysNBzetwFJiaORmDgBBw4cQgZB5/C+nZg0aRwmTo7HyhVLMHVSIsaOjsOs2cmYPDURMSMikDBpLDZt2YSt27djw4YN9LzlWLtmJTLSrqCpoZZMH1GXQdreRKFkI7lHus7fkewj81mAS5Kk51j9DlqfGGWj64+otXVcckj1qK2BDv5i5N29jNSD27B10xpsXLcCa1cuwfWrF1BbVYbszHTs2b4GJ1J34lbaaWxftxATYoMR6W0PPxcl3OzN4ag1hbXKGAF+rpg+bSIiIkIQHROJpQvnYuncKRgZ4YPhEX5YsnAO9u3egQ0EqYlxIzB25DCsX7sGhw6nInnOQoybMBlTZs9FUnIyRoyPR9SoUZg+dz6SFy3FwmUrsWPXbpw5exqZt26grPgB2pqqUFNZhKw7N5CVdUt07Le2Utja+kg0BpckSc+z+iW0Pt3ayX7QIS1cU+7dqwSjrViUnICYcF9Ehvlj2eK5OH7kAK5cPIWrl09i+9ZViIn0wujYAMxKGo2YYHd42MrhYmUGJ5UZbFUm0FoZw0ppAmsbOVzd7eHgbANndwe4udrDxUYBZ60FYkJ9kZgwGsNjI+HhbIcwf2/s2rwRVy9exOrVazB6DIWG6zfh7LV0XL2dheMXL2Pttl3Yuu8QTly4hIvXruPk6TM4fvwYzp4+iVvXr+DuzWs4tHc7li2dj8MpB1BQcB81NTWoqW1AQ32L6IuTJOl5Vr8NDwWwKGwS8VJ7C4V6RQSLFCyal4ARMb7w97JFgI8Lxo4ahpXLFpAjmoXJiaMwbkwEIsI94Oggg6O9DM6OCtgSrGwtzWBjYQaNzASWZoaQywyhUBjD0soUCo0MajslVHZW0NqoYW+rgaO1Gi6OtrC2VsFCJYNMYQIfL2esXDQP65YvxtCwQPj6eWA+wedC+jUUVVWjqrEFRZU1KK2pRXVjPa4RpJYtWUQQ3Yzz5LYOH9yHlUsXY8rkCZg3byaOnziCq9eu4NKly8jPf4D6uiYKf6VOLUnPt/oYtD55QPKtzu2JBLDa0NrchMbaapQ8yMGpIzsxa+oIBPnawN/HFoEU1gX7eyJ2aCiiI4Lh7mINW2sLWGsJTNZmUNmYQ0MuSqO1hFJhAZXcUjSFTA5LCzksLAhEcnNYKOVQWBOw7DVQOdjAw88XMbHD4eXpDUdnJ7h6u8PR2xlW9ip6XwU8Xezg42IDe405bNQEMn8nrFizFPcePABFdyI3ntNLmyiMPXv6KGZPm4Ttmzdg/949WL58GeYvWIgFixdh0eL5WLd+DTZt3kSh5mHk5d5DQ0OLgBYDW5Kk51V9CFp8IHLoQwdlp1ui0UHKpuoRh0Y8utbejJamKtzPvYljh/dhzcqlmD19EqZOisPYkREYGuKJEF9XeFNI52arhp1aAbWVHDY2Wtg5OsLB3R3eQcHwDgyCk7sX7JzcYWvvCidnL7i4+lEYGEj3B0Dr4AkbZx/4hkYjPHYMIoePQVj0cIRHDYOLmxuCQgIwZ9EsLFg5DyPHDoermyOsLM3JqRlAaWEIpdyIIClD8qzJuH3rOmoJsM1tBFtyh5V0/dDhA+T+JmL2rFlYumw5tmzdjs3bd2LOwsWYMHkSVqxajRMUPmZmZSP/fgFKyyrR3KLrmO8cHkuS9DypzzotHbS4a52uC2hxJ3sbmuprUFxwF+lXjmPz6jmIj4vChAnxWLNmFbZtWY/5s6ciPNATbvZWcNRakeMhaFnbwMnJFTEEnelzlmDesvXYticV23YfxsLl6zE9eQkSp83F/CVrsXzdTixdtwtL1+7CtHmrMHPhOmzddxxHzqQh5fhFLF25EaPGToC3vz98AvwwJiEO02dPw7SZ0xEWHgErKxVUVlZQqdSwkMuhUlpgaLg/Fi2Yhb17d+BudhbqmhqR96AAu/buJ1e1DKvW0vbs2I0t1JatWov5dN/aTVtw/tIVZOffR9qNWzh+6ixu381BXT2FiO2cSf8xuCRJep7UR/u06EAUByRji8f5dflUDXVVuHb5DNYsn4MpCTGIDnHG0DAvzJ49hUKplXSZhJioIHi4UiiosYDW2haOrr4Ij45DQtIs7Nx7BDfu5CPnfgmKy2pRRC33QSluZd1Dxu0cAkQR8h5WILewXLTbeQXIvFeEoqp6VDa0oqy6EXdzH+DshavYsGUnxiVMxtBhI5GYNB1TZ81DYFgUNHYu5MZGYHhcAnyDwimEdIa9nUZ04AcF+WHjxnUoLC5EWVUlsnLzcTktA/sOpWDvwRQcOnIcx0+fx/WbmbiTk4+LV9PosVQBMH489/5DNDQ1i9FEPbQkSXre1GegJZyVYJUOViJLnRNE27nfqgIlxfdw++YVrFw2B8MifRHkZQcvR0uEBDhhxIhwREYFwt3DHo5Oajg6qijc08A9IAxjpy7ArtRzuJiRjXtFlXTQt6Ol9TGamh+jsfkRGlsei/u4NdP9jW10X1s7msjNNNN2NNP28GzBZvJ8zXRfY2sbahua8bC4Cpev3caRoxdw4dItnDiXhrlL12JUwlSs3boPqacvY3/qacxbtAR+fr6wtdWITvvxCeNw4eI5FJcWoaa+gcBZSeBKJ2jewYPCEoJZLYrLK3DvYRE5rNtIOXYSh4+ewLX0myipqEQThYettA3stiRoSXoe1XegRcdfO0/FEYmidEA+asGj1jpUFGbj7NH92LpxNQ4d2IkNa5Zi9LBw+Ls6wFVjCWcbBYV+WoIUd4Qr4ePviZgR0YgZNQJzV6zDqWt3UEgOqbLhERoIUu1t3DemS0RtJUhxa2l5JBrfxzlfbQQr7iznvHRuXAqwlSDaQhBteUQhKkGtsfUR6hrbUVXbSpePUFXfijt5RbhwNRNZ+cUo5c+sa8E1As/UGdMRGBQAF1cn+Pp6ImlyAjasX4WMmzcJWhUoraxGZW09yuiyuLwKl66lC5AVlZajpLwSNzLv4tS5C+TM8ug7NIsJ1voQUZKk5019DlptBITmpgY01lWirCAbqbvWISluKKbRgX7i6BGkHDiAscOHw8FKDbWJGbRyObQaK9jYWMPbxwdLVqzE6YuXcObKNdy4e4/A0UyQIWCxk2rm6T7k5MjEMbh4JI6TNdvpemsrQamlDW3cd0ag0jd6hbivlZ7I0Gpsa0JDSwuayO0wvFoIIK283cSPZnJvdfVtaCCY0cPCOZaSOzp07CjWb96EpGlJ8PF1h7uLLYICPLFx80bcK3hI79WOmoYmCv8KUFBcitt3c0XoWN+s+5zrHX1aeQ8ekhskl0XbI0FL0vOqXoAWhzQdYY3+KjWGFh/k9XX1yLx5A+dPHcWh3RuRnDgc4d6OmDgmDru3bsfiefPh4+YOuZEpLA3NoVWoYWfniKCQcMyeuxBpGbdR20zuh0DQ0NRKYWArwYQuG1rQ2tiKdgLXY3JXPFeRZ8wwtNoYQI1cL6sRtXW11GpQ31BHEGsREG1p5rIz9B50u6GZoNXR6puaCCoUrjFAGIAEqjZybK3s6ER+A4WbFM4VklvKf/gQFy9fwvSpk+BJ0HIkVzh27BicOnsO1eSyGgmYVXRZ29CI6rpGETrySCO3EnJjDwlmtXRfC91u62gStCQ9j+p5aIn+Km50nY+5To2TRcuKi7Fz6yYsXTgHc2ckiv4rb1cbBHp4YmhQMHzdnWCjtoCV3BwaclvWNg4ICo/G2k3bceNOjjjo9W9Z19iEB+ROqiqr0NLUgnYC16MGCvHqGlBTXY7a2ipUVJQi8/YNZGRcQ3r6NZw6mYLUlN04TiHpzYwrKCq4j5KiQhSSI3pI4HlYVITKqioCSD3qGgg2FK4xSDgdQ+feCFoEIF2/0yM0Uauj+2vpvuraGpw6foScYjRctGq4OTthUlISzl+4iIeFRQRLAiW9rpXdJsGumSDZTlTlLPhW+gwGJ4OUq0HoO+MlSXre1AvQ0tsqui5ah8WiA/Dxo1YxwfnC2ePYv4dc1YLZCAn0hou9NVwo/HO2UcHeWg5rlQVsbTRwc/OCp08Qps6ejwwCVgO5K35LCgD5k1BOodnFS5dw//49ckBNaGuqR01ZEW6mnUNq6hYcOb4NO3avwvQZYzF5ymgCyBhERfkjJMgFoUGumDRxJFYtny+qMmxavwob16/BZgrpTpw4iuzsOygqKiCAlRNcGgkuOufDjUM3XXuEFvpujdSaqXGYySVotq1fhxAvT9hqVPDyckNSUiJWrVqBCxfPorqGyzjrwMSA0ne48+AEuz79e/PnSB3xkp5H9Ty09LAS4KIrHJ89priKRwof1VMoVo77+bexY9sGjB09guARiIjgIPh6OsPVUQ1HezVsbbVwcfXA2PgkLFi8GoePn0ZZda2oo6U7kHUf0tTUQO7oPioriin0K0deznUcOrABkydFISTCBiFD7eAbZA07Jxm0dgRDeyWseN6h2gg2WhM42FnA1VkFH096HoWoPt5O8PNzw4gREVi0cBY2b1qFI0f24uataygrLyGocDVSHUxEo+/HHfst1PiS72sjEJ06cgRDQ0Jgq1XSd1HC2ckanp6OBK9xOH78EO7cvYmSkmLUkfNiR/Xk/Z7SJEl63tTj0OJifUwXvnzMQ3ntLWhoqER1dRGFcQ9w5/Yl7N29EWNGRcPbwxXDo2MwJXEiQoO9CVgqASwbOwdERY/GgZSTyH1QjNKqWtGZLdwHdyyRY+M6Wu1tjaipLEZ21nWcPnUA8+cnIjzcBXaOprDUDIJcYwBLtSnkVjJYqlRQqm2gUFrCxtoCTg5WBC5zWCkMYWVpALWVETVjMQ3IgQDn5qKFn48joqMDCDZjsWfPDhQWFn7CBTG0dJO5dZ37LO4/u3juAsaNHgN3F3t6LytoVTL6HBN6TxvEDgvFtKkTCYgbxJzDiooK8Z56SbCS9Lyr16ClS8ri+YPVSLt6CocPUriWsgsrls7FxPGjyGF500HtgLDgAERFhsDN1Rb2HCa6usPLLwSLlq5FfmEJGjl1gfuSBLB4KLBVFPXjWln52ek4dngH5idPRkxUAFxdNVATdORWpjBX8CRoO/iFhIlk0BFxkxA/kcLRkCjY29jAgcJPO2sVNAQ0ufkQyEwHwFI2CFqu/KAyg9bKBM7kzLzdbcmNWRO8IrBn7x6UlpY+AZdonBj7JIGC+7zaxTzCHVt3YlTsMLg72cNaKYdaLoO9xgpO7CLtbcnZeWPBgvnIzc39BLRYErQkPc/qnT4tit7YZTU11OAuuaClS6ZjTFw4khLHYvb0KVi9Ygnix44gGNgQQCxhS02jUcLd0wsJidOxePl6HD93CeUN5LDIVbXRQS2AxZU+yV2VFOTixOHdWDwnEcMjGX5qCvlkUCgsyEkpoFBryGHZIDRqBDbv3I9jZy/jwrWbyLiTT+BJwbCoUQQmG4KVHEq5BQHLCCZGg2BpZgQtV4NQmkMjN4ajVgEfN3sCjRoOBJrY2FikpKaIsE4PLV0VUt16iBw6is755lZyZSXYv2sPxo8cBTdbe9gorOCg1opmR83RwRGzZ89GXl7ef0BLkqTnWd0IrU5ugEHFI4YEmEcEleaGajwoyMGJ0ylYuWYxJk0Zh2nTJmDKxATMmDQJm9auxri4WAoHrWCtMYU1QctKq4V/yFDs3H8Ud+8V4mFFOWqaa9H8iGtMERjYYbXVobQoG/u3r8WYqGB4OypFMT+10hgycxOYm1PoZ+uK4LDhiB01Hqs3bEP+w2LUNLWgrqUVDeSCOEN9586D8PMPh5nMClYqa2oayCwIYDIl1BaWBC5OtTCBrdqcXJGKoKUiV6ahUM8OiRTKXrl8BVVVNSL3ix0g2T9qDDC9+wIaGxpx5ewZLJieBD9XJwKhAjYqNVydXBAZGY1RY8Zi/cZNKBAhJ1Oef0f+MSVJ+u/i/YzTYvSjzS28PkJrqzgB9nen3i3Q4jCIUzN1B6qub4eTmFobK1GQl4GzJ/Zh5Yo5GBkfgymzkrB5+ybs2LYVMydPQkSAH2LCguHl5iDckVpN0LGxglxrj7Dh43DmSgbBipM8uTWijd63uakZdTXlyM2+hh1blmDUUD+4aGTQyIZAZWEAhcwEFjILgo8dQsNHYsv2Qzh74Tpy8h+ivomz3LmuPDViSxO1e0WlWLxyHYIjYxE1fAxC6NLe2RMalSM0ChuCIEGUQKihbbPRymGjURDAlNCqlBTWeWHJ4iW4dTsT9byABhNK/Ba6vigBLbpVV1NNcF2PUZF+cKRttVbJoFIp4O7jg/lLl+Pg0eO4lJaOkooqCn/5d9RxXwKXpE/rEe0YDKf6+nqRlnPt2lWkHD6ErVs2YcWypVg4bx6WLFqADevWYN+e3Th98gSy7txBZUUFmhrpGCK49Sd1A7R0yOI+nI+hRUcawaWm7AFS927ElHHRCA1wQWioJzZsWo7Tpw/TDzsDwb5cncEaDjYqWFmawtLSBHIFXaqtYOvqj2lzV+JOXjEa6a1b6OBvpRCT1xtsrK9B7t0MrF81D5EhbnAiCChNBsLS1ACW5LDkFhZwcfPAsOFjsXDxWtzNLURdYxsaOGmUc6LaHqOZ3pNuknMjF9T2CDeycsSo5LEzF7Dn4BHMXbgcMbFj4OUdCFs7e1ipFbrGHfgKJawszKGwMIOttRbjxo7DqTPnxNQczpTXqQNY1Jg7TY11OH5oF4aFeEEtM4BKYUbvpSQ4OmPS9Bk4dOIULl3PEHMQm1o4D4z8Go8x8M8q6blXK0GqtqYGeXm5OHH8GNauXomJ4+MR5O8LW60KpoZD8OG7/8bbf/kj/vz73+Kvf/w93v3n32Ew8CNYyszg6uiAYUMjMGfWDOzetQM30q+jrLSUIoCGPu/EuglafGDy0cX2gC4YWm0tqCJonTi4A/OTxiMq0AORwe5YMHcStYkIDnSGnZbgYq8RqQAycwrpLEwhs7SA1t4RYybOwvGz9MNWNxNgHqOVaCCywtub0VBXimMpBIBIf9iTO9PKCVQmQ2BuYgxzmSXsHV0wK3kBjp08jxu3c1BV0ygcVj1nuVMIJ8DF0KLt5Ck5XO+KM9lrG5tQR6FjZU09cu8V4NTZC1izYTPGjJ8A/+Aw2Lt4iKoOGmt7ApY55ARIDQHWz9cfK1evFdNyWj6mlg7gAuKcMd+CrIyrGD8yCtZKcygp5LSiENHewQHRw0dg5vyF2LB9J25lZYs+MO7W0k076ts7lKTuVQNBJSszE5s2rMeYkSPg7uIEmYkh/vX3v+JnP/4Bvv36q/jWKy/hW6++jDdeexVvfus1vPXG63jrW6/jTX7stVfocXqMHv9/330Tf/jNLzDow/dgQ5FCeEgQkmfOwEmCYHFRkQgn+6J6DFqPKZyrqSzE7bRz2LZ2GWJD/ODlqEWwtzOFgtbQWptDozEnp0Khl5UMZtwHJbcgl6WBX8hQbNtzhEIlntrCy4TxtJsmtDQ10BmnCvk5l7EweQLcHNRQyc2oEQQsZDAxlUOmtMfwuEScu5SOqjoCXusjau3ktAh2nHVOoVcz2Re+bCWg6CZtc78Tfwv2isRbut5CYKunMLSotAznL1/D9l0HMH3WAiRMmorhI0bCzlotoGVFoaNGq0Xc2HhcunYdjQSczmJo6UY6H6H4wT3MmjoJjrZacpZyqK2UCA4KwoJFS7B1zz6cvHAJhaXl4rMlaD3fampqwvW0NMxNng03Jwe8/69/6CBFUGJAvU4gepXaKy+/hJe++U1888UX8eJntG9+80W8TM/j579GgHudGkPs+995C3/63a9hZmyAqIgw7Ny+FQ8LCsSx0JfUY9Bqa27AnRuXsWn9YkydNA4hPh5w1qjgSAe4tUYNBTkUSx7hU5rA0opci5WCbmth5+KNaXOW4kZmHoVJ5K4YLuTaWprr0FRfjgd5V7BtwwxEBjnAjmCnsbSEkssmy8mtKR3hETgCm3cfxcPyOuGmuI+pjSDVQhBtptBShJnkrLiKA18KYBEhRBhHfyxufJ3v5w5/nqLDZY9LSqpw82YmLlw8gyVL58DVyZZsN4WyBFo5bUNUdCzOEHQaycZ3lv79+HepI3u/a/t2hAeHkMu0prOdBoG+fli4cCHOXrqCoooqUQqHt5nDQtpcMdlb0vOlkuJibFi/Ds72tvjLH35LcHlTuKbXX33lCaRe+MY38I2v2F588QW8/JIOYm+QE2MQ/vRH38fA99/B6OHDcOH8OTQ2NnZsTe+rG6HFQ/y6kQru06ouL8XeHRsxLCYYo0ZHIyYyFM5aW9hr7EU/kXdgGLR2WgoJjWChMIe5QgGVrRMiYsdhb8opUWeKHQcDi5NGH7fXorz4DnZvmYfh4fZw0BhALTOGtZUGlpbkuKwd4Bc2CvNWUIiVV4zaFl2/FfeDceZ6G11y5QZuDLG2xwywFrreqoMWtcfc6DFxm0NRHn1pbsYjcmg1FRXIy7mNy5dTMTVpBO1QaoKOij5bARMTc4RHxuD0OYIWOS0+UYklzqjxSCBPx+HfpI0cX15uPjau34TRI0bD080TDjb28PcLxOIVq5HLVR3o+e0CdAwu3W+pOxNIeh6UnXUXE8aPw0fv/Rs//J9v4y2CFcPlJXJLTwPQ120vvKAD2LdefRXfeeNb+O0vfkYnVDV279yJegpN+4K6B1oEq0eP6QDnmlh00LfTAV9KZ4sD+3djwoQ4TEwcg9jooXC2cYSjtRPix03AzNmz4evjDpm5EUzNzWFgZglrZy/MW7IKt+7mobaRKxwwVJoo1KzD4+YyXD+/Hwkj/OFsbQatwhAKMyMoFVawsnFB6PB4bNydivTsAlSSM2qi0KqFWpvoC+NJyNT4OoGjTUw+biJwUbjZTpetBEZqj6g9bmNINeJRE30mt8YaNFQUIO3iEaxfNZtcYzS8XK1gp7akMM8eSpUtlBonJCQl4/rNbDS3UOjJfWeNPOTMQ9BcNYLDPQIYwYid1P3CYpwhwC1dvhYxsWPh4x+BKTMX4HbOPQIpwUoAj0NKPhHwSI8EredBWVmZ5HRi8df/+x2+8+breO3Vl0TY9zTYdHV74Rs6eHG/2A//5zvQUORz/OgROmZ4/+tddQO06JCiA0znVrijvA319VXIy7uJU6f3YeGiqYgeFgpvLw+4OnvAxckV0QSwsWOGw9PVXoRYZhaWMKOD3yt4KPYcOiqK4dUR5RspxGxsqCGIVKO6KAtbV8yAv7s1tBpduoFKzuGlEp4BoVi6aRcu3cpG9oNCVNQ1iL4s3QrUHY1cl27K4yO00HvX15ahuvYhHhbfRXZ2OgoeZFL49hANdQV4mJ+Guxmncf/OZTzMvoazR7ZiRuJQBPlo4GRnDiuZAbTksGzINWps3BEcFY/te0/QdtcSAB8LYDU28ARocnbNFIpSmCtqeFGUyMEjV0flcjp5BaU4eS4NG7YexJ6DJ3GvqJycFsONf1WOC3VJqhK0nn09ePAAY0ePxF8YWOR4Xn7pm0+FS3e3F8l5fYvA9dMf/xABPt64dfNGxxb2nroUWhz+6C8fU1hDtgUNNVW4fuU01q6agSmTwjE0yg32Lmo6uDWwd3CGrZ0jrCkstLW3glZtAYVYtksNF98QjE2aRQf/IVxJS0dxaSkKCwtwO/0KSh9k4erpQxgfGwxvD2cEhUfB3ctH9I3Z2dogYeJk7DqYio0792DH/oMEg0IxQshdSaI76Un/EG0vOcHyh/dw/nQKDh7Yhg0bF2Le3HFYtXIKTp/cgtPHN2Lx/NFIGO2DWeSqFs6Mw5hh3nBzMIFWOQRWchMoOQfMQgmZTA0Ht0BMnLEEx89loKKqiQBF7o5hxf1xBDB9ZzqnL/DAImNI3zhXrLaxDUVlNSgoITCTQ9RBi39XelAAi+ElQetZFo8Qrli2FO//+x/47ltv4CVyPE8DSk817rzn/rM//+F3IkWC87t6U10GLX0Hs+jAFpnvdWioLsLV88eRPHUcwv1d4O6ogFbL8/6MIFPK4ejqTqFQEGwcbMRip0qFKZSWXHHBEZNnL8DeI6exfusurF2/GVcJXOnXrmD3ljU4sG01FkxLgJezDYLCwjF3xQaMHj8Jzi7OCPTzwcrlS7Fr127MnDMP2/ftR2FphUjQ5H4hMoECVly0T9it1npkXDqO6YmjMW5MDObOTsTMqSMxargPxoz0R+xQd7g4mhGcPoC92gAuNiawUw2CwvwDWJgNhsxUBrlMRcCygrnSFu6BMZi5eD3Op91BVU0zmpvIyXW4K4YWMVJsA380c5252bkJNNFlI11poCt6pyW4xScDDhPFDUnPqjJv36J9zh4//v7/4NWXX34qSHq6cVj6vW+/CTUdt5cvXezY0t5Rl0BLOKsOaHGxupqaMuTnXcaJ45sxZ+Y4DA31w+hhwxAdGglbrRZmciMo1EqERUZh8tTp8Av0hTndx6s6W5LT8vD2I2CdxP2yalzJuI2jJ87gdmY27tIfM3XXZsybNBohXuTStBoER47AonU7MW7SNISGhWHyxAQ6G0zHmrVrxBqCGXfuoq65RYBAd+DT/0SBR+QC0dqEmpIc7Fw7D+F+LpiRNAGp+3diw4q5iAx0h53GHBolwdSCIGs6BJYmg6h9BLnJBzAxfA/GhgOoUThrroKpXANb90BMnr8KB8+kIa+4EvWNrQSrdgoLHxG8dG5L15kuDJ4OoB3bpWs6KHGGcxPdbqDncp+WgJZ4DUNPgtazLO4DPrB/L4YM+FDkVvVUH9Z/a9xB/yo5vn/9/S/YsnmjyMDvLXUptLixtb1y5SJWrZ6P8RNiEBDghrDQAMxJnoOE+Imwt7ODWi2Hg4MdfH38ERkRBRdOkGNgmRtCITODf1Aozly5jlpyJtWNzSivrkVNXSPqKitw58pZLJo8Fp721nBydMOo8VOxbvt+JE6ZgeGxsVgwf44oY7xw6Qqk3Sa3U98o0ho4xBLHOgOADvzWxkYKM7Nx5vAmJMUFw89ZjdlTJmP9ssUYGxMMJ40Z5MYEKLMhUMrNYG5mDHNjI5gNGQwzw4EwJYCZEMhMzMyh1NjDxScEY6bMw5HLmciraERVc7uunjtZKg4Jm5t4uhH38emgpW/CWnVsF3ktauRSqTXSzsvFA+knEI6MIddON9padY5R0rMpnie4csUyvPvPt0VSaF+BFreXX3oRf/r9bygamYXq6uqOLe55dSm0WLW1tThy5CiWLluBxUuWYtzY0WIFmhEjYxA7ggDlagtHRy1cCVQ2NrZkN1XkrmQEBQNYysiByS0QEBKOUxeuoo47yek9GThc0qW88AFSd2zEuMhAOPA8PTdvLFi2DtduZmH7zl2IGzUCI0fEIjpmONZt2YHCskpdhjsd9Vw1VKQLMAQIJkX38rB/x1pMGBkIHydz2KuM4ePmAn8PZ9hrTCj8+xCm5KYszMldkQtkQJkZm8DcyAxmpmaQWZjDjEJZU7kSbj7BmLtkLVLPX0duaR0qKLarp20XtePZGbUBLeS0Wp5ASwcuAawn0OJ/GFr0nMcdOWT0JHZZvNm0+QJaXHtel/Yg6VkU50MtXrgA/377b/h2X4PWN1/E//3215g5bSoqyUD0lroMWqIviy7Zad0mh3PjRhbycu5h744dCPJxR3CgJ2KHR8DF3R5aWxVcPVxhS27L2MwEhiYGMJUZw0Ihg1yhgLdfEA4dPYXqhmad06CjvrWxBpdPH0V8bCQ87DSi/pTGSoXpM5PFAqq5nO+0bi2mTZ6MhYuW4OLVDNTVc8oFH/DsTrgyKkGBrleUlBCwNmJCXCQCvG1gqzEShf6UCjPR5BYGBNHBwk2Zk/uzkBtTCGhI1zlTX07bqoBcbQONg5twWNPnLcOV67fFWogVNY3kCpvFohqcXS/iUu6Ib2hCM7m+thbOA9O5JQF65o++iX90JBP/0ePiKfpGD3U+QUh69sQpBdu3bsHAD94laH2rT4WHr738spjLuGrlMnGc95a6vCOef3Q+WzSRq2hracO182cQGxYgVqBxd3eE2porhFrBzcsTjq7OMJGZw8TcFHKlAkqtFSxVVvDxD0HqsdOoqW8iaNH7ErRqKx5i18ZVCPR0hp3KkpyQKTkfQ0RHx+LCxTTU1zXgXu5dnDlxDPv3HcDVtFuoIYA85lysFgJJdTGqqwpRX1uBG9cuIX5UBJxsLeDsoISN1gJyclNm5PYsLGlbqJkTRI0JpkbGBC+630xmAmOGlqUK9m5eCImKxaQZc7Byw1acu3wNmVlZyKJWXFws3GZzMy9f3yaW8S8rzEdOZgZupl9Dfl6uqLfFmf1PD/P4Pn2T9Dzq4sXzUCks8IPvfRuvvty7I4f6xvDkTHnjIYNw/NgRcaz3lrocWjrHxS6B7iRnc/v6ZYyNjYCDVilWWLa1s4NKYw03N09EDo1BVMwweHr7wNHZBdb2ttDY2iBmRBwuXE5HaUUt6inGb6dwqfh+FpbOmQpvZxvYaRQin0tGLi00NBxHCXCcB9VcX4cbaVexcMFCChf3oaS4HI9am1FRdh8nj+/C/j1rcfrEfuzcugYBPg6QmX4EtcoMarUMJgQmAwKUuZyhZSZgZWg0CAaGA0UzNB4CIwtLOPsEYNbCJdi4dTt279uL4wTJ1COHsHXrWlEz/uzZo8jPz0QFQbawMBfnzh7E+rXJSJ6VgCmTx2PJ0sW4dfu2WI5MckySnqaKinJMHD9OTNn59huvETBeeCpIerLxdKFf/+wnGBkbg4L7Dzq2tHfUpeHhk8Z9MQyv9hZkZlxB/Mgo2JOLcnV1gZ8flz12R9zoMdi9aw9SUlIxYcJEeHp6wdrOBi4eHpi3cBky795DcVm1WAasta0J2TevYlrCSLjbqQmACjH06uzogMmTp+DK1XS0cNhFIMi7eweLCSp79h1GWUk5Wuqrcev6GUybNAxDQ53JYYUhbngoHO0V5KwGwMLCUIR+Q4wGY7CJITk/ncsaYvARtQECXnw5xGAgzJRKRAwfidWbNmHFqpWYmBiPqUnjkTRpDGZOj0dCfDQmTxqB1SvnYP/eDVi/biF9T3KZHuTonBUEakdERkXh+OnTBONGEf5JjkrS05R27Rp8Pd3wm1/8FG+8/qpI8nwaTLq7cY7Wa6+8gh/9v/+BvbWaTsqnxeBSb6pLnZa+8cEoaqO3N+MuwWZy/Eg4E5D8fAMwbtx4xI8bQ85jOvbt3UkH907EjYoVWe2WShn8ggKx90AKyirr0MipAvQDNbc04Na185g4OhrONhTOWVlArZDDw90VU6fNwNnzl1FfTzH2I54uVIgN6zfhyNHTqCqvRnVJEQ7sWI+oYBd4OSoQ4m0PdwcV1Fbk1AhYnGphwpAypWZuAgNTIxEWipFBUwMBMDNzeg7dZ25hSlB1RmhEELy83TpGQdWIigxAUuJIhAS6wN7GHJ6uKoTSdT9vW9jZGEKhHAArFd3v5YupFFKm3bqB+tYGENr5l9P9gP1INdXVIpeo8OFDcZL6tHgf4CHxhvr6J9M++D4eGeP7unKn5/fn7cjPy6PQv7bj3q4XbzeXvubPaqHv0d3i73X2zClEhAaR4/qdSH94mSdG9yC8eH4jA/OnP/oBtCoF9u7e1at9WXp1GbQ6S4ALrWhrrcXNa+eQOHY4XB3sEBoSiSVLlmLJ4mSMHhmJYdFBiIrwh5uzFkqFsehLcvP0xK69B1Fe3YDaxhaUVFSgprYSWTcuY0r8CDhqLaGSmcCKk1C1Knj5+GHVmk0oLi4V0Cp+WIDt23fi3PkraKhpRGFOLuYkTYSbjSXcqYX7ucHJWgGlpQlB0gwqayWsKGy1dnKEk5cnLOiPM1g4K53LklmYwIJCRhl9psxsEBSywVBYGpBLYwf2kQgr7R008HSzhY3aFJZmH8HS9ENYmQ+EymIwLKnJ5MbQ2tghYeIsnL14HRV11Wh6zNDiPPje6xv4KuL+yh3btsHb3Q0zpk2lEPhhxyMfi+/bunkjjh1JRX1dnbiPp6Vs27IZR1PpPgJAV4mH3lcsW4JJE8cj4/p1se91h7LuZNKJaaLIVOeqCz2lu3ezMCF+LN75x9/xP995S2Smi6oOLzwdNF3RGIwcDn6bQPnLn/xYFBXcu2ePKI/TF9QN0OJQsQ21tWXIyryGzeuXE5xC4OJij4DgYCQmJWJ0XDSFSjaws1MSeHixCYKQyhQqjRzWDrZIXrAYd3MfIievEKfPX0T+/XwU5N/B0nkzxIKtcjNyLxZmFNqZQqlSY8asRbh/v0ikRZQWleDalTTcy7uPssJSXDt3CRPjxsBBo4CWQGWvtoRWYQ45OShzApKDky28/bwwdFgUps6eifCh4eL+gYM+EH1ZxiZDRDMnt6WQGUApsuAHwcjgQwym53C/lzk5NFG00JyeR9CyIGgpTAfQcw1gaSmHnYsnIofHY/eBkyitrNdVlkAL4YpdSP9yWpmZt0WxuD///jcwNhiEgwf2/YfbOnb0KGw1Vpg5bQoqKyvFfUdSUii80GDalMldOg2EVz+KigwXHdenThzvuLfrdfnyRVjTCY3rTHG10J5UcXER5icnw2jQAPz8xz/A9956A98iePF8RC4r0xUAY1BxZ/srL7+MN19/TQwC/N9vfgUvdxf62x1GUw+4yy+qbnFaLc1NuJF+SazOPHNGIiYnxcPH3wMaXmiVO9KdbeHs7kCACIGXnzssyPHIKXxS21pBZaPGsJGjcfnqDWRlP8D5S2l4QJa8IO8uViycCxd7LbkXLqFsAlNzAxibmSFubCJu3coW1ROaGlpRWVaFovsPcfLIcWzZsBlL5i/E8OihsCVgyUzIKcnJPdHrOeTTWlvBnUK+wCBfJE1NROLkBNH3xKEhw4odFzsvM7rt7GANO60S5iaGdMAOhMGgD2FiOIge4/CR3s+U+8cGQanktRLNYK1UE6ijMGPxOuw+eg7ZBSVo5ORQcgNcCUOXrNV/oMUuhofjXcg185qUJoaDkTg+HuVl5R3PIJdFf6u5ybNgMPBDRIWHIjX1sJhkO2/ObJHlHRYSKCpjVhHMOATiy1s3b+LM6ZO4dP6CCPO4bnnn34X7Rxl+3M9z5tQp3MhIR1WVDobl5eUYPixarNadcuggcrOzce7cWaRdvfJkObfO4pHb27duUeh1GlevXBZA0IewnVVbU0vPu4nz9F75+Xni+U72NhgeEyVu97Sqq6qwbetm+Hi44f1/vY3f/PynBJbvUNj4Grmvl0ToyP1e3BhiXKXhs5sOUgw8ASqCHxcS/O5b38JPfvh9/JELARoZYOzoUWLKTnsv92F9Wt0CreamRly9fB4rly/EmjXLMGfuDHIz7gQmckdW5tDaaxAaFYrZ82dhxJhYWKrldL8MVja6tIeIqGE4fzENldWNqKppQDmdmc+dPIbxo2JhR5BRUhgpI2AZGg/EEIKQT4A/hZR7UEI7KU+bqaPXFN0vxomU4zh6OBVpV65i/epVFIbaw8xkECzMDSncMxZg4vBPqZRBaWUBOwJieEQwhsUOhYOjjejL4sZhIj/XzlYDtZUcxnSwGhOsDAcPgKnREAobyWURPM3MTKiRI6Pn2Ng5Iip6LDbtTMX1vGIU1TajrpXrd1FAKBKu9NDqP6ogQAwbGkkHry22UqjHjsvR1pqAc6rjGaDwLwUeLk7425/+AMOBHyHQz1tAjM/YXKec849GxEYLsHCoKOqa+/nA18tdPMffxwtrVq14EoJxyV8GxoT4cfD19KAw3IWe6yEcWw4BqrSkRCQVmxsbEiTDEDM0goDqDldHO4wZPRLXCF56J5iXmyPgyfNTvQi6Pp7uGDUiFocPHqDIoEY8h3WPoMRZ3/w5Hq5OotrCrBnToFHKMYIA2RvQYjE8srLuUOi9CbEET4XMFO+8/Tf8329/hZ//74/w/e9+G29+61W8xlVMuTLpZ7TXqHHZ5e+++Qb+9wf/T9TM+tsf/wCDAR+Ivx1/1xPHjonfti+qSzvi9eIdraiwENfTruHUqWOYPmMK3D2dYaU2F1VJHVztERETjtHxo+Ab5AOZkov+mUFBoaLGTgOuwZ6WkYXGFl35lpLSMqQe2IuJ40bCzckGVuTMuBPdmMI0E4vB0DooETs6GqlHD4kzcENtA6pLa1DyoIRcVwXqqqtx9uQJhJCbMjfVJY2akstiJ8XQYkB5eLpARU5MQ06Ks/fDwoMEyOzJXSkIaroRRGqDPxLNsCMVwoRDRwKVBQHL3MSUAGcKJ1dvJEyei72HzyG/qBpVzY/RQIziKg48JUf3W/HZq39B6+L58+J7RlM4xs5n4/p15J4+wFwCgb6y5b38fMyYmoTBdD/DaNeO7cLRzKBQcfBH78Pf21PA6hT9Pfy8vUSBufn0+gP792HVyuXQWFlSeG2ElIMHxe90+dIlApmnAOWcWTPF+02akCAGYmZOn0Yu7RbGjxsj5sRprRQCNrt37sDIYTEY8P67ooAeA5Bd15TJicKR8X38nLWrVtH2eMHd2RGHDx3iPwztP1UExCRYyWUYGTsMmzdswJKFC0RZlnfe/quoA3fv3j3xXXtTvJo5u6Bd9D1mzZguOuz5N/ngnX+JE8af//Bb/On3T29creGff/2zCDfdnR0wbsxosTAGL5BxJzOzS/scu0NdAi3eubjpUx4aGhqRm/8A6Rm3kUk/wp69uzAmbjgcHTRiFM3Fwwle/p7CcZlYGAu3xJdKrSWFjvaYkTwXd/MK0NQKao/JcdUgPzsTB/Zsw9DwQKhUMsgtCRIELrnKGHKNEdQ2MkycNFaUP85Iu4rzp88gLysHtVUEDXIIWbduYFLCWOHSzAhc7LTYRZmaGSI4xB8LFs7BhInj4ORsJwDGjfO1bAmiDC8GFvdzDaSQcAjBSp/Hxa9n8JmbG8OYgGVkIsfw0Yk4ffEWiiubxKRnXuFHTHwWwNJDS9/6h3jUKHnWDLGIwto1q8R96Wlp5D4sRciSkZ4u7mNxHwjDZ/6cZFH4kJXK95FT4RrnfF/G9XQkJsRj57Ztoi9SrzWrVooDj0HBK8Mw7MzIzW7euEGcDFncJ7Z4wXwsnD+XHP1l4bQMBn0kbusPOA4z2Um5OtkL8O3dvVsc1OzscnKyRUjYRBHBnl27IDc1xoiYaNTU1ODihfNQW8oxLDoSBQUF4r04XF22eBE+fOefGBYV2Seg1Vn8nQse3BdhM/cd8m+4YN4c8ft/urHTXES/HS/Zd4Hc7t2sLJSVldE+2X9OoF3qtPSttLQCBw+fpJAtBfn3H9If/4FIbRgWFSISOZUaS6hsrKCgS3ZYhmYGMJUbi9v2Lg4ErXnIJmg1ttDBQuFeQ1MzWhrqkHH1IkYNjyanRdCSm4hROXOFMb2XBazt6eDxd0HSlLGYPjUe4+KisWrZEpw+fgJnTpxCxrWrtKMn05mdQlCFCTy9XEVjMLm6OdLrJlIYOxOhYYECUgw0dlK6EJGz44fAgCBlxKkQMoIdNUO6T0w/IqdoTOAylsth7eiBxSs3obCsFqImPe0MHA5y+7isTP+DFo9iuTjYwsFGKzK2uVw1u5fRFF4N+vB9rFu9GlwBlrWfQnUe3eU5auxcWPv4Prm5cDHs0nhUkcMPXraK3+c+gYAPoNnkGtg1LZg7R4RpwYF+YsWZTxef43CuvLyMDtYHok/LRmOFUyeOdTxKYKusEP1PXFf91MmTYuRvwAfvCae0fOliLFuySJQw4lDIxGCQeB5/Pq8NyJP2165e9Ym+nDTafxzsrEVYxkDsy+Jy4nySaWio/4/GgNO74v6qLoWW3mnx6soXLl7H6bOXUVpegerqSrKeKWS3I8ltWcPW0RoOLnYIjwqFT6A3hYcyclpcG96E4GONxCnTcTMzD7UUU9XW8x+gkUK8SqRdPo8J8XHQEtwYWuy2TGWGopM/IioILq7WcHZRwc3VCs4OloiJCqOQIhlzqR0/cgRLF82Hg60KNtYKTCRXlTxnBnx8PURYyGFgQKAPvYdDR3Kpzlmxm9InmA42IodlzgmoBDL6fHFJ22BGIe9HpuS4tNYYN3k6Lly7IZYoa33URu6KDmTRf6UPB3Ww6k/I4r8p1wgf8P6/oSG3sowO+m10pt6xfRvCggPxh1//AlERoXhw/754/oF9ez8HWpNFmgK/580bN7Bq+TJyXOMJMNEIDvCF3MxYvN+iBfOEc/AmFxcS6I87dzLF+3xanD0+IjZGrIbEo4e6kwKPKpaI/i2uS8Wd93Ejh4u0AS93V3F9DDW+jBsZi3D6DjOmThEwWrxwPmzpvfbu3f0JaHHYGxLkLzLCOV9LUu+py6HFl21k/2uralFaVITi4vu4cvkskpNnICwsHBMmTMDc+cmIHRGN8KGh8PJxh5wXsiCnYkEhooIOiqHDRuDclZsoq2pCVSUDqw75uXdxksC3YvlC+BOkVGozKCk05MnM/n6+CA8Ngb2NGiqlCbR0v1ZtAj9fH8yeMx+rVq7F2dNnsXzJEtGxaq1WYuTIGMybPwvRMWFQa+QU4tFnK83o/SjUIxAaGHIf1ofksAZTGySuGxgPgkkHtMz5efQaueiPs8AgE1O4+wZi98FUVNTWkcPiOli6ig26mc4fA0vX9P/2ffEI3ajYWPzrb3+BueEQ+p01ovHSZ2r67tyHYjx4AA7u3y/2gYP7930mtDi3i53WmVMn4U0A4dQIhs6c2TNFH9m4uFF47x9vY9H8ebiTeRt+3p6i3bp1S7wPiz/j7p07FMpdECOP/HoGDY9Kfha0xo0eKUY0169dI5z/Q2p8ye0eQaiMXB87EHZg/J06h6Os7Lt3Rb+W6IiXoNWr6h5otbSghnZ0Lo18YM8WTJ+WgAA6i46Ln4i9+w7g4MG9mDhpPJzJ1VgSsDgEY1hY8mRlsuZczfTYmcsoKa9HFbXq8ircupGOEyePYv+BnRgzLhZ2DlawUhM06HValRo2Kq1Y65BrX2kIJFbk2ngl6InkfM6eu4yiwhLaec9g6qRJFG44k7PSwtfPnZyVnXBsvAoQd+7rLrkUDcNqIEzNhtA2ch4Z96PxAABn0jPYjGFKALOQm8LC0gIaGwdMnzUfWTn5aKEzNJ+j2wlL5D351xG/UX/VpYsXyAHR76lRY+umjUg5fFC4KYZT6uFDFJ5FiZHBCePGiv4RAS0C1Kzp01BdoxuV27tnN/19zDB75gxyZPcoXJsg+qqWLloo0g44nOEs+qWLFwk4cp8Mh38jhw+DWmmJ48eOPgFSTU21cEa8mjLDkEHCTuup0HKwoxPWacxLno1BFB5yvxdn5utVV1eL40eP0ne8KD6fs775uyZNmijgqldqSgrk5qair4tdl6TeU5dBi6UHF+fenD15HPNmTcfYUcMQFOgFJyc7jBgxAnPnzsX48WNE5zd3cndOKRDQoh3b1cMDKUdPobi0BgX3S5CblYcL5y/gytVLuHHzGpavWAB3TwcorchpkdsxNTaGuQlBjw4UW1sNnXWtoCDAWCpVCI0YhsuXr9MO2YYaCluvXb4idng7+mxLLkMjQMTQ4hWtdVn5fFuUozEzJDgZwdHJhrbXT4wyMmT5cd5u7ucy5dwsAq2bhx+279yPcnKYOmDpodW/gcV5TdOnJIkcK+5Er6/XZbh3Fnde88Ii3CnP6Q9Hj6SKaR/c38Ud9LyE+wmCDoNsNIVjnPs0fmycGCVkaLFz4b6pI6kpolP/t7/4qXBeLQSXPbt2ilHB+LjRuHrlCj03F7t2bhcOjfunrly+hFEENu7T+jS0eJTTyc5GQIu3kXPLuE9u29YtIl2CndyyJYtFB33SpETRz8ZACgsKFKOV+ufxIqnc2c9gjh4a3uc64p83dSm0WAyt+/fysWrFMjFTfV7yTExNSoSvt7tIznMheFmp5MKhMAD4Up/IyRDh9AIHsvQ7duxAdnYurl3LwJEjx7F3737cvn0LFRVlOHnqGEaMjCLoqSi0NBW5UTJzE6jVCvj4eMLR0Y7eVwaZpRJBYdG4fIUOHC6eRzt0U30Dzp85jTFjRsHV3YXew5pCTSWFpRYETRk1C8gIQkorObk4Cv3ofR2d7AVkHZ1sxfYJl0VAE530dGlkbESu0Qvbdx9AVW39MwUtTtbkfiB2LNwZ/TTx9A4GG3do89A5J2Wy++IcrsQJ48UqxQ8fFohheWuNUjiw1SuXi/4q7gCPGzFcPG8YQSjA1xvmxgYinYETKmvJqXHHOT83OiJc5Ex5ubkgPCQYVy5dEp35PM2F7+N8Lj20yspKxXP9vDxEGMn9U0ePpIj31/VrjRAjgfz5nG92hsAm1rqk1586cULcx6OPDN4Ius45W5a0LySMG/Ok705S76hLw0NuDK2iokKkpBwUw9yZtzJxmVxS0oR42GnkUFDoxVNi9ImdetfCjSckywhitjZKOtNOxaED+whQp3HsxBkcOXoC2XdzRR9JTs5dbN+xBbHDo6Cl51pYkkMieKnogHBydoCaQgW1tTV8A0MxffZ83LmbB17jUFT8pFZFYQeHG1ypYcaM6Rg5cjj8/f3IDToS+AiEcgtybDZwd3cT99nZ2cKedm6e66gPZxlcAl70PQyMDCg8dMSKNRtRVln9bEErJwfLFi/Gzu3bRJ2wz1La1asipDt08IDoHOeQkm/z8Dq7KIYGw4MTTVfTCY1HA/k5y5ctwYxpSaJzn8HBne+cPMnhJ/elsXik8PSpEyLNgYG3Yd1aZN6+TX/Kx6IfijPhN21YJ6bX6KHFYd+hA/uxhcLZe3QSZfG+mZF+XfSdzZk9A8kzp2P3ju0iXOXH9OLr3Ie1ZdMG+rypAprsIDm3i/dpjiQk9Z66BVocQhSVFKKysgrNTa14eK8Ay+bPg6udAmpLQ6hUFiKJU6GQfexYqBkTBEzMKUy0GIJAb0eMixuOrVu3IfNuPu7fL0ZRYSkdEJWir+P+/Tzs2bMDMcMjYOOogpW1nJoCSgoTLJQK+AWHYMPWHUi7kYmqmnraLtq+Dmg9aqVQsbqa4FpEbi4bFy5cxPbtOzBv3jyMHTuW3JoPAgICsGjRIqxYsRLDhw+Hn58fNR84u9gLp6jgMFHOGfCGMDGjcFKhwYzZC1BUViF6sZ4VaPHfk/OoOh/UTxP/7RlMnUfcOBeKO7M7v1Z/nx4u/PzW1hZxv17699I/Ry/da7ka7Se3hW/rXVJnifsfPf1+3obO2/E06Z+n/078XL7v814jqfvVJdDiP6K+8R+Vc3ia21pEhzQvUHojPQNTEhPg6aSBk60CXp6u8PJyJ+fCLslMHPyc92RKrsvIdDCMDN+HQjYITg7WSJ49D7n5RQTCVjp7NqG+oYnOrk1oam5EYVEBDqbuRdLMiQiPDoGrpzNBSwWZQoHo4SNx+sIlVBCwmlvpYGJYceu0og3f5h2S36+8vAIPHhRQCJqJ1avXYPbs2bhy5aq47/jxE9i5cye2bduCJUsXIn78GAKbhxjpNDPjvi/+DkpMnDwNefcLOuq68+ghfUY/h5YkSX1NXe609K2NDlZeBaeJzozp6WlYMHcWRgwLQ4C3OwJ9feHt4UHhlwvCIoLhE+AJOVcPpdCR5xMaGLxH4PoQWo0ac5IX415+GZqadMvLN7fw2Zbzn3hp+1ZUVlUgM+s2DqcewsxZM+Hl7Q21VouQ0DCspjDi1p07qG9qRNtjHtFjkHQUKKRt/KR0txm6GRkZBKrjYqoEn915ZIuzpSurKkXoe5NCm6VLl4jQUSbjfjBLApgSEUOH4tSpU2joSN57LJ2VJX1N8f7D+2RfbL2VRd/lHfEsPkzZUHOuEsPi3r1cbN60BvFjhsGHQOXm5Iyw4FBMmzYFG7esw+RpE6GxU8LQhOfzDSBofSDyorRaayxZtAYPH1SIidC8piJDRB+ucLjHlzxUzQmL6enpIqQLpNDOxcWZwBWE3bt3UJhaRqBq6dQ4LPj0D85brXs/7rvh4W7uL+HbncU7EYcMly9fFmGjWq2hpoZGo4GDg4MIMR88uP8EVhK0JH1V8QAHT/bfuWOb6OfbvnVzn2i8LTso6uCR296osdVt0OJDXVeC5ZFIDF26aA6iQv3h7eaMmKFRmDd3LpYvX4qVq5dRWBUPRxeuqsAjcYPEZOQhQwZAxbWyZswlp8WOp5ng1EDwIpCQw2Jg6aHFIR5fMmR4ruOSJUvg6+sDJ0c7zJszA7cyKMy7l4Wc7BsoLOASNrxmGycOMlr1UPkYWvx++vfsDB2+rr9dUVFBYeRquLm5wdraGjY2NuS2FIiIiMDJkyfFdAmWBC1JX1U8EMHTj3iiOU9t4ooOfaH96+9/xgfv/AMJ48aKKVg9re6DVscB/picURE5j2OH92P9isUYP2YkJk6YgGnTpyE8PBSjRg3HzJlJCA31Ex30InlTZi7WFrRSqjEsZjjOXziP3NxbyMpMI+jkoq2V6E4fwitFi851/kz6LIYMJw4yuJYuXYogf38MDQvBvOQZWLKQJ4smYfuWFSh4kEmurY6ez4tLELgYLPw2fNHxPp8GFkt8n4772PFxKBgcHCyAxeDiMNHJyYlAO0M4MQbXp9+jv4m3n39THlzhUTxOQfh049C5c8JmV6qdfmc+Gf23TvMvIv6bsjPgbeX9s69LP7fzd7/8uVi4lUsf94X25uuv4Gc//gFiIsPBq0/1tLoFWvqDX/TptLahmXb20gf5uHnpHObNnAY/Ct9cPdygtdZg1MhYLJw/m8JFHyiV5pDLZVAqODlUTWGXNby8vDA7eSrmz52EhXMn48yJQ6irqSBqEGw6GSX+PD1oOFzkUcGlS5YhKiIaocEhCAr0hbePE2JiArBl63KkZ1ygM1mhqD/P9ez10NJv+2ep82M8tSQuLk6EhQwtpVIJFYWKLi4uWLBgPu7fpzCRtqk/i0dZN61fLwrCjRk5QuQ+dW5jRo0QyZ1cWrnzCGBXiZNT58+bIxJPecLv1xHniq1YvkQs615eVtZxb98VQ4t/39/9+hd4+eVvPrXiaG+0F1/4BkHrh4iNiny2oCWG0Ki1NjahMD8Pp1IOYt2SBRhDZw5evCIgNARuBK4AP28Cli/srRVilWlzczNyLFYELq2AlrWtFs4uGjjamVNoqcH82ZNw4dQxFOTmor6yFm3NbQSSjo+lK/rGq/Nk3snB9h37sWLlWsyeOwcj4obBN8ANkVH+mDp9PD22AbduZ9CZtyMuZ758Nq/+Q5wysW7dOsQOGwYXV1cRzipVKiitrMhBjsb169fFoEF/Flci5cRNrs/Etaj0xfr0zZPCfTcne+zcsb1boMXvyxVSeVqNPm/rq+pa2jXYqK3E9B8uCNjX1Rlar7zyEr7RjXXhv0zjJc2eUWjRRetjlNOX2r9nNyYmjMOoETGYMiUJK1avxbwFixBA8FKruFSMmVhowkJmKLLS2bGo1VqorNSQW1qIuYGcu2WlMEKgrxtmz5iCLRvX4/CBA7hzO1PY/c7AEptAl80EtNKyajwsKkNOXh5OnDqBZJ4kHRtBrsuVQtJAbKazLueTCX1JaHGokZOTgwMHD2Ls+AlwcvOA2sYOdk4umDh5Cq6mpZOT+3jSbX8UF3PkqTWiBvvJ4+Qe74kkTn3jaTV5dALhpF/9b88pLzw/kIvv8evZ1bBL0j/Oi9jW1daKKULs5HjH5xpZLa0t4vHOEnMWefL19KmiH/HzxO/Pgyj8ucV0QuHBlM4gTU+/DldHe0SGheDmjQwxT5Kfx9ugz8XqLN6vOCeQvwNn3ot+yi+xf3xdSdB6uroJWvSX5X2l9REKHzzE1m1bMX/JImzZvQMX6WyXlZ2Hbdt2ICwsDBo6e/N0GbnclJqxmJisVluSW7GEpVwunBdnqPP0GQ4fAwO8sWjRPCxaPB+TJiVg587t4ofjPo/O/VB8yVc5OuNuL77NB9bx48eQPIfC0bBQkQW/dMkSCht0S2HpX/tFxM/l1/DOXlFZjZTjpzFl1lyEDB2G0eMTceAIHeDFpWjuVOCuP4oPWHZa9uR4udDcfxP/xikph0TxPp6WExkWLCYuL5w3F1mZuvIyvFoP356WNFmUquHFIubPTRYQ/LS+KLQYMBfPn8P0qVPEnEMGE1fk3L9v75MM9oyMdLg6OcDdyRFTyLnxZOyI0GBMnpiAkydOfCL85NSWzRs3UugbK6b0xEZHisnWDDt93bDulgStp6vboPW4jVprO+qqa3Hn7l1kZt9FcXUF6loaUd9Yh6vXrmDOnGTRZ6XRWMPOzl5MoFapLSjE4ooK5rCwkIk8KDnBiyGm1ijg5++FWbOnYeasqYgZFkmX03D06BEBns6dtTpofbLxjp1N28E76LZt20Rod4Ku88HwZaHF0j+fk1TL6XumZ2Zjx75D2J9C4WtpORq4JjyXK+3HegItG42Y7vJ54t+QF77gSck8x2/61CRRZI/rvpsYUIiXOFFMSubKoTwP9d1//E2UO06IH4sN69eKv+Gn9UWg1UYnBp7Kw/XNne3tMH7cWEwlIPJ7W6uUoqxyfV09bt66KeYachUJ3sb4MXEUAcSLbXEjmKUSbLlYI5fs5gqfPGk6MjxUlNjhEs3s0nj+I9ed/7L7yleRBK2nq/ucFqck0AHL0ys4v0q3bBbnbbWh7VEj7YDF2LJlM4KCghEWOhTJs+ZjPO0Y9g5qUZHUQs59WwQrChV5VM7KSiGm/ljbqEQpZF8/T7Fgaswweu3s2Th//oIIN/Tw6QwhvuTGrohHokrI6nMpXb7k1/D9+ud8Gelfw41Ho7ikMs89LCopRxOFha10u423o+P5/VEMLZ6szDXTjx05glwCDlf4fNLuZIq8NC5JzL8ll/SNCAkWVR3EKB19f54n6GhnI8oY51MoySGmAzk3nhh98MB+MQKpf+6n9UWgxe/H/VRcrWHfnj1iNJNDd04S9vFwh71WjfPnzgiX5GRrjQHvv4NVK5aL9+OQb//evaKMNLvCQnJYXC6a+754YQwuPsj7DPenrVi6BDJTIwHizmVruksStJ6u7oEWiwHAR2unI5YP30dcGO9RMxobanGAdtikyVPIhm/D6dPnyXnNgpOzFpYKrgAhg0JBYaJSRdBS0HULAhc7LgtRaZQB5uHpjOnTp2DXrl24du2aGK3jnUk/X0wPoU/AhQ4M3gm56R9n6R//svr0a/iWmC5E94tpPF/hPfuSGFoMBM4TsrZSikUg2HHoG1dy4MJ9NzK4/E+L6LjnwnoMMHZVHJrxWokebs4CDNl3swRkeAFQL7qPn/95+iLQ4onW/N5cvob7yjqL4TTow/dE3XSuUuHu7CSqrOonUbM4pI2OjBBukidET508SQB1QsI47Nm9k9ousR1c1dSM7g8kF3mbQNzdkqD1dHULtPgw7dyE6Aofv6JeOruu1hbk0lmXayTxsPZu2jHi4kbA24dCEQfOMidnpVGJSgu+vn6ws7cWIaNCaS7AxZOWXdwcsHjJQlyh9zh37hxB8IA4u/K0m85Oiz9YDyVuDLSnndW/vp58WxJf73y7f4qhxRU7eekvrl/FK9pMmpjwpPEAC9daz83NFs9ncPHfYMvmTRRiJYvnDw0PwTv//LtYS4+dmh5aPh6u4v0/T18EWly/S2lhLqpAPBkJ7hBXU+V1KpeTS+JVgXhlbK4UUVH58Xtx5z2XxuHFZBlyw6KG4qP3/01uSynK03hzI7fJJW14u8dRWMlLeXW3JGg9XT0DrU43Pp60/BgN9Q20s+dg3749mDFjCmbNmorZydMQwrWrHG0RHByIBQsWiL6niKHh5L64Q14HLBU1DhWjoiNE39jatWtE3xYXlGum0EA4LT24OjXd4hK6+z++1LUnG/mVxK9jEH66fdX36xsS4SEdrFxkj8OrxsZPLpjA4RWHhvx78+V2Cvm5b4kBEB4cJPqMuH+Jq4Fyy8m++wRa3u4uXeK0jtHfnRej4H4oXmGns3iRDV4TkZezv3r1igAPd/7zyKFeHE4yfHmbV69cQU4sXISa69euFoUCeVktvmRQ8WABw6SlpftXXJag9XR1W3j4HwjouEHM6gDXIxQWFIp+La5ptWHDOgrxLpNjOo0ptFONppBj/fr1OH3qNHbs3InwoRGwUltBTQePRqOEhqClVctho+VFLOyQED+Gdt4U5NMZv662Go/aWvC4vU20VtqRa6oqqJXTgVVLn80pEhw+suPSNw5buSP/64z26b/xp1v/FUPrSUf8fxk9zLh+nYDlCEc7a1FxlIv/cac2h4Rcm58Xrfiq0OJ+JA7jnqYL588LN8WjlJ0XGOVfnt0XV13lGlxpadfEyj48ssgnS704325oeChtu7Pot+N1FS1MjbF504aOZ+jEax9wnS3+HdhRdrckaD1d3den9RnSuxoOz3hVkzVr1ggnxf0efNbmDvKUlMNIJct/+vRprFm7FqPHjEFQaCgCQ4LhSvZepVKIcspaTo+gkFFFOzUfAPFxI7F04TxcuXgOtdUVaG9tFsDKvXsHh/bvwYG9u3DtygU6ELnvqxTV9JyGhjq0tvG0jlYxmZr73Po7aLpSeqfFpZK5c52Bwwf8pxvnO/Fin+zIeAVnDsXqyYnxTs3F9D58998wGjzgSXjIz/uifVoKC7Mnq0V3/kweCeayylz+OCYqAlorS1H0jzPf2UlxWWfedh4Z5BrwnPLAfXAcpm6jk2VJSbGAHL9GY6XA5IkTRE4Z171nwHJ+2ulTJ8V9xUXF2EgnVi7fzBn6Ukf8cwgtbtU11WS5s2gHzBUdt5wIyP1RPFLDZ7+UlBTEjxuH2OHDsXTlSuzetxfTZ06HC53N9dCyJsfFq6fwDmtvrRbwmjFlEo4fOYy8nDvIzc7Ezm2bMYGcGC8bNXv6NDqDbsSuXTtwgEB24eJpZOfcJoCVoZUg95/VH55viT4tX2+8/++34ePphigK0yPDQz7RwkODREXSU6dOiNQADq0494rdEedrhQYGCGBxZznDjKuh6jri/7vT4jwrubmJqCfPayAOjQh98rmB/r7ic3ntxPNnz9J2eomy0FwSeWrSJLGKD0OKK5VyvxWXFOLHzQwNRB14fg4vGMvuayhtL28bi+dYcrVSDhc5XYPzyXiRV34tD0QcO5oqTrrdLQlaT1ePQ4ulhxb/4Xmkj622fsRP34HOQ9ZXr14VLmzX7t24S66snMKDK9euIHnOTISF+osl8u00CgEshcxUOC5rcmE8qjWMDq55ydOxbPEcLJo/G7OmT8F0TmaclISkSVMwKXGSGB2KHz8Cs2ZPIkDuE2folmbeHl1VS/0IpH5b+fJ5E4dkK5cvE53pYSFBIhnz0y00KEAsWc/O527WHSxeuICcT6RI8uRl6nlEjlc05oVaeSl3Lr+cPHOGCN3+m2O5TiEdr9zD6ytykmfnzw0gR8dg5Kx1/ttwCWdOWh0WHSWgOZlex1n8+qRRXhCWyz9v3LBeNAYC510tnD9PlzTa9nHSKH/vwwcPIHFCPH33MLFI6/y5c4Tb+3Rnf3dJgtbT1SvQ0ksPAQYCuyw9GLgxMLiDlBMOS8meNxLYuBJqbV0t7ty5hd07t2DksAjYaZVilIehxQsP8DJVluamdJ8CXu52dKZ0orPkKKxesQTrKRQ9tPcQUg4epR0ylYC4GkOjAuDmocXwkZGiOumN9Ju4di1NVGngUJXhxdulB9jzJv7G/N3FyaW5WeRTPa3x453/ntxRzScevl8vrtig/x07X/888eO8b/CJ7b99LovfUzxGn/3puZDiczs+k7dR/x5832eJ319fGeLzntcdkqD1dPU6tPQ7UOcdWH+fvnGlUU7UbKbntLaTC2prorNmNhbMnQ4nWzXZdluxpJTc3BiWBC8e/uaQ0UYrg521DJ5udogMC8LoESNxkKD18F4Rqis5M/sukudOgqOzpViSbGLiZCxfvhrJs5MRHx+P7du3iwRU/nxuvC2SJPWUJGg9Xb0GrU8Di8+Kn4YW38+XfJsTNTm7nMss0zVUV5djy8Z18PN2F6M+djYaKOUyMbeMO4J5RFHN+VwKgpilKV2Xw97Whuz+BKQc0q0SlJ+fi527NiBubJSYx7hh/VYc3J+C5cuWUSgUgvEErrS0NDRz+ErQ5Drzum1jN8HbKTaXrnRcSpLUhZKg9XT1aafVGVofN77N4UeTGMJevGghRo8aBT8/X/j6eGNKUhJmzpwhJkPb2fKyX5qObHrO77IQK0uHhvnR8yZi0+b1BK2toiTzhQuX8LCglBxYDdIoNExMSEB0VBT27z+I3Hv3UVFTh5Y23iYOVx6jtUV3yflm3HffsemSJHWZJGg9Xb0KLZYeRgwnvfS3OwNLL/1tbpwiwZ2/x44dw9q1a7Fy5SqxyOvUqVMJWgEYO3YchXnj4ezsqAOXSkbNHFprOZxdbeAf6IUxY0di+YqlokTyfYJTTXUFCgvysXXzBkyePAmbN2/B/oMpyMzKRlMzd85zP8djtDRTyErgahfgkqAlqeslQevp6nVosT4NJlZnOOnhpVfnx5qbW0SH/c2bN0WKBMNrFDmvBHJKDKKzZ88iNnYYOS2u0aWERmNF0FLC2lYh4GVjp4SHtxNGjY7B4sVzsX37BnrdEXqv/Th4cC8uXrqAEydPERxz6bN4UQ2CFsGKodVG8NJl90vQktT1kqD1dPUJaH2eOgPqadI/duPGDaxatUqsxrN8+XIBLM734iTDdevWIyoqGmFhEcKBubu7w9vbFV7ezlBrLaC0MoWtnQIurtbw9HbEsOERmDYjEceOH0JRcQHtPMViIm47h4fkrFqaecpKK8GLYCqFh5K6SZ+A1ssEracApDeaBK0voM8CFksPLc6uP3r0KM6fP4/8/HyRTMjD5DxcnZuTh2NHj+PQwVRs2bwTy5atxqqVK5GcPBueXlyrnkvekPOykUOpNoGlxgS2TirMSp6Cs2eO40b6NRQVPEBTQyMedUCrob5ZXD7p0+rYHkmSukoMrbiRw/HbX/4MrxG0XnzhBbxIwOjN9gJB6+Vvvoif/fD7YtqUBK2vIA4ducOeS80wqDijXt+BzyOSnDDY2tKK+rpGcksNKCutRsH9MuRk3yPIncS0qdMREhwMe06bsFNBTeCSWRlBpjSCj78bxo4djqlJCVi/agUuXbiIyooqej+902rv6NMicImtkdAlqevEmf5c9uevf/w9fvrjH/SJ9pMfUSNg/Z7c34hh0Sgp/niuZ0/pmYDWZ/V5cS1yMRmarBBP0uansCvifqnamkZk383HpYuXsXbNWkTHRCM0LBgh1Lz9vOHq7gxnV3s4OGrg4qyBn68TEieMRmrKAZQUlaCxvkVAi6tmck10Qhd/sm4DJEnqAnFxRJ7vyJO5gwP8EBrk3yeablsCsHb1KlRX8RqiPat+D63Pkg5cOqDpocbQ0j/W1srurEmUx+HFKQ4fPoy9e/di374D2Lp1B5YvX4nY2BjY2WugsTan8NEMri4qjBkdhb27dyErMxvVNXVoIifX8rhVgFGSpK4URwwVFeViQjiXXMrP7yNNbEu+mD7F29jTemahxdI7Lm6dxbefgIz+46kaPGGbl9avrq5CRWW5qCfOy/a7ujlTc4SLiz1sreVwsLNCZEQo5s9fgKtpaahtbEArOOFVgpYkST2hZxpan6XOMOPWWVxX6/HjFty6fR0zZk7DuPjxWLJkBWZMn0WW2Bf2tkpoNQp4e3tg9drVKC4rE7XvP/0+kiRJ6h49l9BifRoyeoDpigG2IC//rqjrdfbMBdzLL8StG3exb9duJCXGw8PdgcJGNRISxyPzbjZauCNeYpYkST2i5xZaTxODh8PGdgJXY0MDqqtq0FDXBJFM2vQINRXVSLt6ATNmTBQ5XaHhgThy4gTqGru/9K4kSZJ0kqDVSTqn1dG4f5Egxv3rIuOdu6zo/qaGGpw/dwzDR0YgOMwfu/fvR3Vdg3i9JEmSul8StD4lXZjIl09p5MJALoxLNe/asw1Lli3E9Yx0NDV3f71wSZIk6SRB60tIBzROZm0T9cV5ZZbauo8Xe5UkSVL3S4LWl5AufPw494thpc++l6AlSVLPSILWl5TObekA1RliErQkSeoZSdD6CuoMKD3EJGhJktQzkqAlSZKkfiUJWpIkSepXkqAlSZKkfiUJWl9a3Helb3pJ/VqSJPWUJGh9KXFaPKfKf9x0y+h/nALRuWP+aU2vztf1+vRzJEmS9J+SoPUlxOstPkaraI+4hlZ7C9ram6m1dORsfZzDpU+D6HybG5eA5qbP7+qsT6+yzZJAJknSJyVB6wuL4CGg1UzAaiJQNaG+vhIPCnKRk5uFysoKUcWUocNA4mXUufwzL3MmYESOjFcNyszMRGFhoajh1blwIL9ODy29dNn3ugRWCVySJOn0HEPry0KAodVCrZGAVYfyigKcv3ACK1Ytwvz5s3Hq1Ek0CEC1ioqO165dxb79e3Dy5Ancy7+HosIiXLx4EQcPHER2drZwW2ITqPEFw6qlpZnAVoW6ulodrOi+Vno/CVqSJH2s5xRaHbQQrUPiqv4+XT8VN3Y7urLN7LIaCSQ1KC3NxYEDWzEpMQ6hIb6IjAjG+vVryUE9xIMH+dizdycSJ49HaJg/Ro+KxbIlS7F9yzYc2Lsf165cQ0lxMWqra9HWTO/ZRp/3iOvZt6CggMs+70Jqyj48fPgAzU3NBDIdtOgptA1SqChJkuS09GIYCCDogaXvaOdGcHnMfVEUDt6/gb271yEmKgiebrYYPXwo5syahkWL52H3nu1Yv2EVho8YChc3G1jbyuHqYocxo0Zh6cLFOJZyFHl3c5F+NQ3XCV7V5ZV41EIhIYGpoqwQO3esRXSUH713IHZs30Kf9YDcGzm7VoIWbQ4vw8/L8kvYkvQ8S+rTIgQ87uysRL8V90FxJ3uTuORKpo1N3B91BWtWz0VsdCBcHNVwtFVh/NgRWLyI7hsRiWGx4Rg7bgRCQv3g6u4IF1dHglAEtmzciD07d2LlsuVYu3IlFs9fgH07dyE/JwsP7mUj82YaDh/ag7iRUXC0U8HORonhw6Oxf/9e5ObkoqqiGq3kylqaactaaDslakl6jvVcQEs/Avdx0xsrvs5OikcEuSYWg6oBVdUlyM27g8ysdOTfy6J2F5cun8WKFXPJBQXA38cZfl4usLe2gpeHC8JDA+HsrEFAoDsmTByD2OFRiBkWI+rK79m1B1cvXSRgLUUIL70UGIDkGdOxf/dOChe3Uug4E0mT4ghuoQj080JMZASCAv3h5uqE8ePHYje9PiPjFqqr6ghcBK1WiViSnm89N06LAdU5nYChxbd1NeGb0f6oHs0c/hXcwb4D2zArOQlJU8djzrxpmLdgOmbNnowpSeMwaeJojKbwLyTAG1orS1hamENtpYBWq4CPnzuiYyLJJcVizZo1uEGwuZ9/D4cO7EV0ZCg0Vhbw83bH0kXzsGLpfMSNCoe3pzXsrC3oMRmiI8Kwef0GzJ2VDC9PLwJZDLZt3YmbNzNRVVUr1lnkhWElqyXpedZzBS1ura1tYqn81pY2cF4Vu6y29npUVt3HtevHsWbdfEQPC4Kjsxr2jko4u2nh7euIhIkjMG/uVMxLnkYh4Uj4uLtArbCEuYkpNTMoFErY29vDw8MDI0aMwI4dO3Djxk3cvpWBVSsWwcPVHgoLIwr/1BgaHojgAE+4OFGIaa+EtVoGlcIMkeHB2LBuDWZOm4GoyBFYsmg10q/dRH7+A9zNzsK9+7moq6+lbeZQVpKk51PPALT+03UIL0L/6JoOVo/a21FXW4PcnLu4euUycu/moLGulsKtOpSW5iD1yFYkTRmGoCBnODpaQa0hB6U2E5cenvYYOzYGw2LCED00DPFj4+Dl7gYrSwVkJuYwNTSDXKaEWmUNHx8/xMYOw6jRIzBlaiKWL1uICeNHw87GCqZGA2FqPIieawKl3AwOtioCVSC8vVzptXLY2GjIpcVg6tRpBLr1SLtyA3nZ95CakoJF5M42bFqD7Jw7YjTxk+JvzCAT35zvkCTpmVW/hhbhqNN/HYcs/aNPDxCpAm1tBKZm1FSV48LZE1i2ZC6mT5mAnZs3I+/uTeTcuYx9u1diXFwQ3JzlsLexgI1GAZVSRi5ICycHa7i7OlBzhIrCQDdXF4wdMwYebu4wN5URgCwptNPSY2oKEbVwcXWGu4cLtNZWdOlEEBqKAAolVVZyGBoMojYE1lprem9HeHq4Yfr0JAoph0Kt1cDGwQHjJ0/G3v37ceLoYVw4cxw7t21G4sQExMePxbIVy3Hj5i2RBqGHsg5WDLG2juviTkmSnln1e6f1CWBxY1fFfVfU2toaUFFGodWd6zhzitzK/OmYPHEkpk0ei3XLF+LArg1YPG8iYiJc4WRrChulMRysKVxTKaGQmSEiJBDDhkbA2d4WcnNTmJkaw9paC08vd3JjDjA1NSE3poKvrw9s7ayhtLKE3NIMlgpzuk7ws1XDy9sVPr4e5KK0MDYyhLGxKUYMH42kydMRERmFKdOmIGb4cLh5eWHy9Ok4fuY0Tp05gQVzJiNh7FCEh3gjIiwIy5Yuwc5du3H9+g0Kb3ULaXwMLQZWKzWGlwQtSc+2+n94qKcV/aNLBNXlVbW3N6K8PI9Cq81InjUOCfFRSJo0Ctu2rML2LSsxIykOo2MD4edlDXsthWvmg+FM4VmgtyecCEAWpkYErQDERofDTquCmfEQmJsbQq4wISiZwd5BDQu5ETUTuq6FlVoOmYUJzMz5PlOCmAbWNirhtmKGRRK83GFpSc+RWWDc2PFITl6AiOhYxIwajXETJiBp6hQcO3YEN2+mYcPapQjyc4anmxY+ng4ICfLF1KTJmD1zFk4cPyHWZNSFvQwsHbS4b06ClqTnQf3faXGWOCdckrPi5b1AB29TYxVy7qbjwP61SEgIg7+fNXy8rTF+XBTWrlqEObMT4e9jS67KBLZqckuWxpCbGMLLxRlRYSFwdSJnJTMkWClFv5OCYWQyGBYWBgQmA5iYDiJHZUSAGkzXB9KlAczp+Qwtbiq1JUHKDW7uTvD0dMHQqFBERITA398PtrZ2cHXxoJAxFKPiEzB3yRKsWLMaS5cuwpZNa7F62TyMHBYCZ0creHnaISLUl7bVHcEBfoiKCMP2bZtwNzsTZWVFFCY2oKW1EdXV5aivryWHKUFL0rOv/u+0GFo8FaaVoNXWgmYCVkbaGQoFkzByeCDiRgVjTFw4Avwd4ettjyB/N3IwNtBaGcJKNhgqc2MoKOzjZq9RwM1RC1uNHFYEJaWcnJU5OSwCk6nxAOG0ZDJjGBoNxBCDD8WliekQmJhR2EdQ07Uhoj+LoeXkbEchogp29tYYOjQcI0eOIHj6ws+XtisunsK9XThwaD9mzJwqpgIFUhjp7W4PdxcbODipYedgBXc3e4SS05qUMAYJcSMwfWoCFi6aiWPHD6Ko6B7u3r2FU6eP4d69XDHhWpKkZ13PBLQ4KmpvakE1uY/rV05j4ZyJCPZ3QNzICGzduAbr1y5HWIg3bLUWUFsZE4yGwIIgZEnuSmFiDgtDCvmMDATElPJBUFgOgYKeY2kxmKA1iFzWhzA2+gCmpgQxuQVMzUxhZMz9U4YELRNqxtT49hC6n15jaQaNVgGllQwyS537cnNzho+PNzmsQCxetARnTp3F5fNnsGzBbISH+Irm7GBN70+hp70WIRGB8PF1h6OTDWKiwrBk/mzMSIxHSKA7PDxtkDwvCYdT9mDt2hVYs3Ylsu5mSdCS9Fyon0CLQx5uuvDnEXe2i15oahQStTY24H5eFg7v24bpk+MQQKGfl7sKM6ZMIGhtwKxpU8i92MNaZQ6VksI64w9hYvAR5GbGsDQ1h7mRMTUK/8wHwEL2EUGGHJTZRwSnAeSshohQUKE0g1xB0NNq4eTiCm8/P3GpUFrBmMDFzdScmozen5opvc7EbBDdR4CUm1D4SCEmwY5HF5cuXYqzZ85gw5rlGD40CKNiIzEveTqFkKGws7NH5NAIrFm3ClOnT4K7h7PIuE8cPwrDo0MpbNRAq7VExFBykGNHIj5+DPbs2UPhYpkYgJAk6VlXP4AWhX/iP54XyJ3sj9BOoOJG11BVVYr0a6exbvV8OqgD4OGqgqOdOVwcLcmVeCE00I8cjI1I3lQrTUXIZ2YyACYUypmbE2AIXGamBBkTA7pvEIwoFDQhh2VoOgDG5gawIdcTFRuF+IkTEB41FEOHDcO8xYuxfdduLFm+EsNHjYadoxM5KoVoCo0Slio5jAhWAwzeg5HJQNFxP8RwIAYO+lA4qUDapnHxcQgLDUDc6Fhs2rQWewk8CxYsRHLyfGzcsBm79+zCxMQE+Pp4YkpSIpYtXYhhMUPh7ORAoa4/hZqjEBIShlGj4nD+/AU084iibjhRkqRnWv3IaZGL6Bgx001obkJ9QzlOnz6EaVPjEBrkRu5KC1dnK3IjCtjakKtSmFCYR6GfjByVBYWFlqbkpgwho6brhzIgN2VELshUwMSMnRKBzNLKAhYKGbS21hgzPgEpx04g/WYmDqYcxSFqWTl5KKuoQt69Apw+ewFLl6/CuIRJBLAxGBk3Bn7BgbBUK2HIn2HKnfemMDAcjMFDCIj0mZaWMqjpcWsbKyROGo+LF88hK+uOyKDPy7uPjPSbAmDhERGYPDlJQOn0mdMCVGGh4Zg7ZwEWLliKqKGxBL1xuHzpGlqaeRBC92tJkvQsq39Aix2EyBglaHE42FqH8vJ8XLhwGFOnjIKXhzWCAlwQGxMIfx9HODkooFWbQC4zIBgZU4hHjsrUkJyVMUyNCVJmZqIvysjIUKQhuLhQCBYehrCwUISGhiJuzDgK0aIxYmQcDhxIRVFRORob21BVXYeSkgoKxarQ1NRKrR11dY0oKCxBxq0sXLh8HWfOX8aipSvIkY1AcEQk3DzcRW6XubkZjPmzZWa0Pebk8AimlmYICPTGqlVLcfLEcdy8eQt19Q0oLi7Drp17sHr1Oly6dBX19BmXL1/FxAlJWLxoOVJTjmHD+s2YlDgFK1esQ17uPTEvkdMgJEl61tUvoCVyktofo6WpCZXlJbh14xK2b11OB200fLys4eqkQmLCSMyYOh5+3o6wVpvDSkGOyZLzqghU5Ky449zAkC6NzOh+FTUlwcsc7m7u5GoW4OiRozh27BhSU4/i6uV0pBw6il3b9yIrMwd1NQ2iNAzXtSp8WIxbN++guqoG7a0UoNJ9XOOque0RGppbUdfYjGvpt7CfXn8w5Tg2btpK4d1UAmIYXF3d4Eaf5+TkAqVSKWBqpTKDp5czhsVGYuHCebh9+7Yo08zgKqHW2NBMoAbuZuXi0MEjuJFxG/fyH+B6WgbOnCaHdicHDfVNot6WBC1Jz4P6JLR0iZOdoh260drUgOzbN7Bv5xbMnpqAEH9nuDlZwsHGAk52KowaPlQ0B1sryM0pBLNgYJG7omZK103MTWFoYg61xgFBIVGIiIgSqQfTp83ErVuZqK2pF41dTWvzI1RX1iInKwelRcVobmRoNRA0G1Dw4B4yb92ix8vR1FBHl2XktqoIWPVoam1CyyNyZHX1KK+sQTW9V1l5FUEuk6B4DOvXbcTatRuwnMLJmJhYURnCzHwgzC2GiI5+TpNYsWIJrl69TGFiHrnJcrRwLflHBMQGzseqRXNzi5js3cxOjwDJ17nyA/fBS8yS9DyobzotAS1ddvuj9lY01tcgNysD65bPR3SYL9wcVLBWmlAzhtrSBCqFOextNaK+lcyM3JTBAJibGsCMO9QJCoYEMSNzGay0Dogbl4Sde1LISR3Dvj0HkXb1uqgOWlRYjHwKs5oamsTn11RW4s7NDNzNzMD9/ExyXNcIYunIuH4eF88dQ+btq7hO1w8d3EEObR/OXjiK6+QASyoeooGTPtvJmRFI2qm1kBtrpPctKSkX4WXhwxLs23sAUdGhUKo47+sDClcHi6k/vr5eiI+Pw+zkadixawvuZt9CZWUp6htq6H24hE5HGMj/M6ioCWhJTkvSc6I+Ay0+3AhVugOPj8BHzXjUWo+aige4fDYVyxfMRHiAB2yszKA0GwIrApGSAGVmOJjCPGNYys0gtzCCsfEADBzwHgwIXDwCaMIJolbkvpS2CAgeht37j6OgqAL37z1EcWEhGuvq0NbShIvnz2DThjW4duU8uat7OHeaPnPxbCxeMJXaFMycNhbJM8dTCDoaExNiyKGNwYSJwxEW6YOoYQEYMSoUSVPGYP/B7eSSslBHoOUyOLplxXQQbicANzc3CZf04H4Rdu3eiTFjR4hpQAwsS4UMCoWcQkY5NOQgA0PcMXveZGzcshpHjh5A2nV2YNkoLSWIsSNsofcWwOqYHC5SHiRwSXq21XecFjsHdlhiOk4rhWJVKLp/C+eO78K0hGHwc7OHLR3YVuZGUJCLYmApTI0IWgYwMTYWI3QyDgNNB2LQ4A8xaNAAGJgZwM3XA2PGJ2Lk6ElYuXob8u4VobyiCunX05Bz9w4K7ueihCB16vghJMTHYnLiKKxaOUeAyd1VDSd7ORzsLMjJmcPRTgZbLbk7lQFUakMoNUaw1BAU6bZCOQS21jJEhvth+dL5BL+LqKygELKpCW0U4rU/orCutQ6FhfdRVlaOutpmcl2lYoWe1atXIW5MHBwc7CGX6+cwfgS55UA4OCvh7eOEyKFBGD9+NObOm4X1G9bhwgV+/5oOaOmAyM5UgpakzuKl6poaG8WSds9KHl8fglYHsDgkbGtEwb1MbN+4GIljIuDJKQwqc2gszWDFc/ssTaGSm0ApM4GFyLMygbmFsegbYmgZGQ+BgSHBTavF1DlzceriFVy4mCY6sFvJ6dzLuYOtm9Zhz46t2EaXqYf34vDBnWKxCntbS7g6q2CjNaUQ80MKNz+Emcn71D4gR/cRTDk7nq4bGb9PISeFdfIB4tLQ8D2YGX8EKwpX3VxskZSYgNRD+3EjPQ337+ejobEGzS115JRyCFxFtCPxKjuP0NjYhIcPC3Hy5ElMnDgRAYGB8PH2IFgq6XsaQK0whpbcpbXKAjZqOexs1fChEHLZ8mXIz7uHmuoa1NRUo6WlUUBLFyJ2OFZJz4V46boiihrycnNx504mMtKv4/Klizh25Ah2bNuG9evWYvPGDTh4YD/OnTuLtGtXcevmTeRkZ5Pjv08nvwrh1PuL+gi0hM0iXrWhtakOZUX3kbJ/O0bFBMGTAOJgbQ5bDU/B4VFBApaS4CUuzaEkkMktzGBhaUTQ4gnMg0TmudxShcDIWBw6dRbldfVoaGpAfW0FyotycGTfVowaFoGYoaEYGhZIrioO06ZOgJe7o4COXEYhJ8FJZvoRLMX1j2Aw+N8YPJjgRQ6PqzeoaXtMzAbCmKBmTM81pMfMTXgakDHk5oawp+dERQSTc4vHylVLkZZ+FbV11aiurqbL+o9DOwI1T7+prKzE5ctXcOjQIdrRtmAavc7Flj6HwGyrtICDWgE7KwodxTQfa4LWEmRlZeLMmVNITT2I3Ny7IvQUbpUav68ErmdX3PXAoLpETn3VyhUYO3okgv05kdqOTnRyWJgYwtxoCO3DtD/S8cBVS0wN6figxid6W40VfD3dEB0ZjpnTpuIAAS2LgMcj131dfQda1JrooL578xoO7NiISfEjEOjrBB9PO+E6tFo6YK1kUBKwFAQsblYEMSWBy5JAYyHnSguDYGo6RIRYzs7eWLZqE/ILS0THeHFJPi6dT8HmtfMQPyIEjjaWcLBVws3ZBu4udnBx5Kx5cwEcS5kB/WEH0R98kLjOk6YNh3yAIUMGw8nFDUlTpmDkqOHQWitgbj4IJibktoZQOGduLBJZGV4W9BqedK3VWlB454qFi+YjOzunYx3DxwQqXR9UZ8iwhW9o4BpgpTi8bx9C/XyhNDelsFgOH1cHePEEbLUSjo62WLBwNlKP7MP0GRNFusSGDWtRVFT4ifeUoPXsifcPTkTevXMHxhColBbmGPLRB+LS3loDNycHBPr5IDZmKCZNSMCCuXOwYtlSLF4wH1MmJ2JkbIyAm7uLIxztrGFD8DI1HAKjQQPg7e6KBfPn4czpU2IV9PY+Ope1D4WHj1BakI99W9dhwqgo+HnYU5imhauLVhz4nBJgSY0nIVsSqHg+n5zCREuCl6XCiJzWEAEtCwoT1Sot4kYl4trVm6L2VH5+JrZtXYoJ8eEI9rOHky3XZDcU9dk93eygpdCL5yFa0FlJZmJEO4AJLC2MCFpDCEJGIpvejM5cViobJCbNwplzl7B3715ERoSIsE3LMKWdRmlB20bQkpkOJrc2hMA1EBa0TUoK74KDg8hFpaKutpF2hscEr5ZPWPLOgOHS0LnZuVgwbz483d3g5uqIkcOHIjI8QISHdnZaxAwLwdj4aPj6O4naXuPGxeFGRobow2BwSU7r2RLvLxzSrSZX5ePljo/e+zcGvP8OHGy0mDQxAYcOHhCpOKUlJcItMdz4JMj7Azt57ldtoduNjY2oq+MV0suRk5ODKxRGrluzGhGhweKk++4//iaOAXZuB/fvE26ur+1HPQ8tnanSNRb/IKK1o6rkAc4d3YdpCSPh7WoNO1GVgZNBdYX3BLRUMsjpOk9KlhG4GGbsuiwVxtCQG/PwcEVwUDg2rd+J8uIK1FWW4sCu9YgMcyNnZQqNlSEByxgKcmZqTpugME/B03sYWgJcRlDwtB92TGYEQ57iYykXdbBGjErA0aPnUV5eg7zcHLFIq5eLA8IDfeFLcGFbrqBwTkGQs6IwUWHB+WLk1AiCWo0GybPn4W5WHpqaaGdqY7h8sh9Bv3PwZWNjM65eu46ly5YjgXbKiZPGI2IoQVJLISO5LWdnW7gQ0O0JvPZ2GjqzxuD82XME6UYJWs+YuM9p755d8HJ3wb/f/isGk7Py9fLAkkULcOsGV7Jt6njmVxPvKxUEsSOpKYgfEwdr2r/e/effYTDwQzrRj8XVy5e+9md0pXoeWjyA8aTRQUU/GFkLOlLb0N5UhQfZaVixYBr83G3JupIjYlARpBQcBnY0hhVnuXMJGJXKElYECztbG0RHx2AuuZMFC5bi3NkraKypxb3b1zEjYRQcVOZQmFHoaGJAYCEQEUhMTQ2ocXE/zp4nUJH7spQZQsHvTWcdOb2v1s4Bjh4+GDNhKo4cOYfignJUl1cgOzMd82YmwdfNGTFhwYgI8oVWSU6LRzcJeAoK65QyM3ofU3JetP0WSoSFRGLPnn0oKStDazvPn/xsqPDPwlOE8vLv48CBQ5g1ezaGjxgJX28f2FnbksPTwFarpR1MRXC3wYjo4Th14pQ4y+rTHyRo9X/du3cPybNmwsxoCAZ9+J4oBrll00bcv3+P9h8+iLpW7NB44ZeZ06fR8acSzsvT1ZmAdrjPgKvXoaVLcWgno9WMhuoinDm6GxNHD4WHo1r0OdlZW0FDYFIQELjJ5KbgksacFmBB1zmvSUMH8LDoEdizez/SrmUgJeWYmO7SXFuFu2kXkBQXCzsFOTT6w5sbkvsx4/l/pgQsI5iaGdL7GBEADWFuMQhmpgPIHnMtLXZ1aoRGxWLmohU4dOoSSkqqUF1Wjsz0q9i6fhmiw33gRqGZq6MWTk4q2haeW0jvR6+1tOT5jzawslSReyNgWliSI3JA8ty5yM7LQzND64nd/E/pE0d5KfwH9wtx9sx5CkkPYt3qDRg7Kh7e7r7w8fCDl5s3/Lz8MW50PFIOp9IZs1JAi4ElQat/i918fNxofPTuv+BgraYwbhUeFhR0PNq94rCSRyA5TBwy4APRV3b2zGm08/Hay+pFaLHL4hwjzsmqR0nhPZw9cRBTEobDy1kLB62CoKUSme5ajRJKpQU5H3OCgrEADV9y0T1TExM4OnFH9zLk5d0jp1GHrDu83Hw+Oa1yPLibgaXJ0+Bup4WFMTkrA65EagwzCv0YfLqFKPiSATYIRoYfwdhgEGRiBFKJMQmJOHM5HSXV9ahvaELh/XycOX4YkyeMhIONDBoluTL5YJgqBsLEchCMufYW7WA+wWEYOTYRkZEx9D1sCFrkGq2UmJw0GbezstDc9vnQ0htQbpyMWlfbgIryKhQWFOPMqfNYtnglnYHnISE+ERMTJmPRwqU4fvykyAHjHU4PLkn9U8VFRSI0e/9fb8PXwx0Xzp0V7rmnVV5ehoUL5sOcIpSYoeEiTaK31QvQYljxEUmHLAGrqrwEGWkXsW3zaowbNVRM0bGhUI47x3UOSy7cFIeBuqxx7oQ3Fc2EwjsTgouHrz82bN6GouJSciatqCgrRtbtDFw7fwJH92/HzEnjyLnZUOim61BnYIlFKigk5E5yK5WMLinstNCB0IjcmFxuCQ2FYVNmJONO7j000nY3NjUi524m9u3ZLsoee7hZw1JOoDL7AAPNP4CFrQzOfm6IGDkcq7dsx/m02zicegRxI2PIdVkQeGUYFTcSl69eRQMn+30eVOghdlqcFsFL4XPjDvy21keiM/962g1s3LAVCRMmI2H8JKxcsQYXL15CZVWV6HiVoNV/1draIlzVkAHvw93ZCRfPn6O/Zc8DS68q2qc4LUJGx84iAlhNL6dF9AK0dMDiRSjq6ypx7swxzJo+AdFD/Sl2thHVRTkHi8u2WCosYEYOxVwuI7AoxPQWbnp4sUtSqq0QEhWDAylHUFVTQwd2E3KyMrB+1UJMGB2FYWG+YiTSTmtJgDElWOnKH8tk5LrMyVFRWMid/HJ6TJeJzh3+VvD2D8CY8ROxffde3HtYjKa2drTQznSXXNLuXXtE0b7Zs6fD398NamsZjJWmCB0ejRWb1mPfsaPIvHcftS3tKCkvwuJF0+DkyG7RDJ7e7tixexfKq6sFvz9T/FgHuBhU3HjdDmIRaFPwoKAIO/fsx5Llq7By9XrsP3AYObl5IllV6tPq38q6cxseLk5QW1rg8KGDfSL1ICvzDtxpm3i08uqVSx339o56Hlqis4b7sFpQWnQfmzeuxNBwX8RGByIqwh+2NgpYyIxgYUHgIlBZqlVQatVQ0nVOdxDgsiL3ReDiPi43b28kL16KG3fuoqWtBY0NlUjdv41g5Q0nrQy2KlNorei95Lqw0pin/lBoydUVjIw/pNt0aTIYBoaDyM0p4ebpiaDwSEydmYwDh4/gxu1MlFVWEbDahIMpLS3D7VvZKHhADjHjJrZt34xJSRMxbNQYbN9zEA+KSlFZV49acmWNtD05uTcwfdpoONhzn5yxWFps4ZLFePCw8L86rc5uS9d00Gql6zX1Dci7X4BcguN9AlhRSRkaGhufAEuCVv8U/814pNDc2BAjhkXT/lbS8UjvqrGpCVMmJUJmbCCy6zkFo7fUC9DiCputHaFhKc6eOoZli+dh1fJ5mDxpDBwc1OSGDCj8MyMwKaC2sYG9kyOs1JYifOP7LekMxGkI1tbWGMd9TpeuoqahnqBSj/zs61gwcyI8bKygsTCCldKEXBTPSRwCQ6NBooIoQ8rUjFfSGSjek0cJjc3N4RccgnmLlmDdps3kYvbi8rVrKCgsRF1Dg6iu0E6gragoFS6noqIOVZW1uP/gPq6mpeH0qUt4+KAMrc3tIjO9vKKIYHIX27ctR4CfHbmswZCZDyYoazBv/gLk5z2g9yMideg/ANMBLdGY8wwvau1kz9q40fP5kt+BGCZu62ElQav/inOrlixaCBODwf+/ve/giirdtv0jb4z3xnhv3HvPuadPd9sqORdFzjmDCqIiipIVFHNOmHPOOYMBFXPEgKKomEgKkjM635pfUTYq9ulz2xZba3UvC4pdu3bt2t/cc65vfWth+rQpcp1Vd/2ld43X0+6dO+Al6mfB3DmoE6XQW/aFQYuDiKAlKC1ap6O1HfWva1Hy8AHOnsnFrNkTEBjkLsBkLZJN5BoBys0ZAYF+woKcBczslLxzEIBxcHDG8OEjsX9/DsorquWkCnOrKMbOLUswfFAIfGUbN9nWxYX70TVRZXllawEuGxtz2NlZqOdCwkKQmTUBo1LGYMaCJbh4rQAlT5/iccljPH36BNWvq4TBCCAKYLW21eHuvevYt38Pco4eR+GdeygtLUWdyNKm+ibUVteg/MUzPC0pwum8g9iwbgGSE6NVhx97WyNobExF+jph+pTpuH6lQOSxvunqJzLY+WvXU/q/6J4SgJJt6ep1Xc9/CFgf7c9gX71xcfOiBfNhY2mG6VMnfzWgxWvpwL69Khdx1oxpqKl53fWXL29fHrRYiUAA6y2LTVGqi+RqbqzGpUvHMXlKKgKCXJWMImg5sEyyAJWbABdnDx0dNdBobGFtzRk7N0yfPge3Cu6ioaYBne2NuHb5GMYkD4a/sCsPrVYoNgPuAkyhgaoHoZOzvQCXpQItLrIODAjA5KnTcO7iZZw4cx45p87hRfkrudu1o13oLxc63ym8IX4NJU/u4kHxdRzN2YMJE8ZhxvRZOHM6H+VlpQI+NQJY5bh6+QwOH9iGQwe2YOb0DMQM8oe3pxYaWzNV40vDlAt7OwwUCbpoQTYe3L+vJKceYP4dkOnpNQSr3o5n6ddRMpO6tPTFR/78+XPVOYgZ2lytUFlRoZ5/Ic/zb3rnzeD162qVhKs3fibmoelfw+n/7vtW+3nxXAWOuS0XElfItmWyr4+30z0yqZLH/LUYv7+d27dBKzIsIz0NLysruv7Su9Yq8pBg6izXL7PymVnfW/bF5aHqCM3mquJv5MKte12JRwIGGzdlY1hcGLx8yK5EBrqw3EyXHBTAYvCdXXOsrCxgaWmJ4KBQbN60HSWPnqKRi5BrynD0wGbEDwmBl4sNXLW2sLWi/NOoVlt0Nk7l73YaG/gFBGLevAU4L4BVXVuvvLTiFerqm9HBxcwCqrdv3cCWLWuweMkMLF8xAwsWTsLkyWORmpqI9evX4969u3LhC7DdvoT9+9aKvE1CWspgjE2PE2Dyh6e7sEIeh40NXJxd4ObqAmcnB7iKvI2MDMfuPbtUddL/CdBwW73r7WsALYLB7BnTERUeqrK2Y6MHvueRwmxnyd8JOLk5R1SyZMzAKIyIG6aWktBHiMcPG4KszLE4fOggXlfr7uocKBwwsbJ9dFQEhsS8v28635czbwSiI/JaLnnhcx9uN3hQlHpcnD1fpRd8TXaroAC+Hm7wkpt1/pnT6vvsbXtSUqLWJjJh+vzZs712fdG+PGgJ0WJYi1HlupqXIgsPi4afjvj4UHj7cFmOjQCWNey5UFmknbOLo/yumylkI1SCllZYVHraWNWFpqG2DrVVpbh45gjmTh+LqFAPuDhYwlFjAY1s7yayMjUtUXlgkI8K5DsJaIxKTsGFK9dRWfUaNfWNIgFblbOEcUdrB9pkgNy8fhkL50/F0NgghIU4wd+f5ZodER0ThX379qCw8CYOHNqOGTPTMTjWG36+VvD2soKPFzsAyTHYW8DO1lrcHgMHDRaPhoenlwCwO4KDgwUAJ+H06dNKAhBs/t0Loaft+Zzee8MI5Jxh4jKQaAGM1KRRSEn81QlKy5YsUoxo0YJ5arsBMhiy58/F0kULsXjhAixZlI2JWePg4+4KD2dH7NuzRxhXBxqEZSUljMAP//kfanYtLSXxvX2r/ccPU7EXDnRmkv/n//0/8JDvOzkxAanJo99tlzR6pHpcvXKFWq/3NVl9XZ1a7Nznn//AsCGD1ZrD3rTGhka16NrO0hxj0lIE5Mu6/tI71ktMS0ChpQ43b+RjxrRURIR7wMuTMtAWzq7WqsSMvZadmgW05KK1F4nIdvPWIussBbQ8PDwxf/5CPHr4FM31Nbh1JQ8zJiQizJ8Ln0WG2RiJFDMVOWmjGJqvn6dyL2+5e3m5wlsG1Sx5/Z3ixyi4cw8Ft+6gXGREQ0M9Wpsb0dJYj+J7t7Bzy1qkJQ6Bn6ctnOz7C1iaCnCaCbA6ICMzDQsXzkT8yEhhh9ZwcjIWJthP3refagartRMJquJnliqXbMKUKZg5Zx5Cw6MwKCYOU0XaZmZmYfbs2SgouKECsN+CsZ4Tl32QZV26dFFJPIKy3sks6+U8c7nIQgEtVycttmzaqFhUJ0tUy7VBAK+vr8PWzZtgJ993atJolAsbamxoQGriaDjY2iDv5AklQ7vvW79/ykLaQpEz1mYmWLd6FapEkr5/LFXqUb/s6WuzG9evIdDPB//4r/+H5NEJuHf3rtyIuv74BY03il07dqhiAu5CIE6fyuv189ULoPVGgKEO9+9dw/Kl00VGecONXXMcbUU2URJaCmhZQ+tApqUVMGAWvEYtkObsn4VIPmcXF6QJ0zpz5gKePLyHzavmYmCIC1zsTWBr3Q821sawFmfddcpB5nT5+HoKS3KDr68Xho+Mx55DR/GotELY1g0cP5mH4uL7aKx/jfbmWjx7VIh1KxeI1IyAv5cWbg7ynvZmIvXMBTwFiOwsVLqFn7/IPTczAdh+8jeCpSmsLfrLo2wrIOuoEQDm5IF8jrnZ83A4NxeTps7C0mXrcDLvIrKzFyMlNVkuhJMyIOvQ1squOqShvUe9/6jpQWv40Fg8evTp7GlOmetBi2vpekr/KCoqQnhIEIYOjlaZ2AQtsiMXuQmw8uy/suz58xQ72Lt7V9czfx3jqobcnBxVH6t/nx8xKn44rl258kVTDV69eqnkuLNWA42Mu3VrVqubSW/bFw/Ev33TgdrqChw6sAMjhg9QgWouUmaFBRdnto8nWDnA29tTgMZbQEfYlqs93H2cYSVyy8TSFHYiDyNFbm3evkfkZR4mZyTA24WSUP5mI8BlawYrARAVcNfaCMNyR2zsYASKJBsQE41V69fj4dMXaGxtR4XcgYuK7uLp4yK8fvkEzx/fxp7tqwSwQtUSHScBIyfKTQFRLq627QItZuNz2Y+2q40+62c5aiwVw3JkUw07K3i6OSN28ACERwQhc9wYHM05ghwBrtyc49i9ax8mThiPhOGxOLB7E+7dvIzb1y/hVWUZOuWC7ZXb6mcwPWjFiawpLn7Q9ezHRmb5Hmh9ELfhLBrjWZytGpOagvIyHdNKGT1KbiD2qvrmvzKCFutEUS7+FY01125cuyZAPVpVXGA8cN+e3Sh78eJPnTzgeSazmzV9mqgFa7g7O2Dj+rWoEWb7NVivgFZj7WucPHYYiQlx8PF0VSfFx8NVpJuzmjUMDApULb4iIiJUWoLWUQDBQwNzjRmMrUyhdXNF4phMHD52GseO5SJ19BC5+5oLwzERliVsx9ocVtYWurWJ9lwQ7YiQsFCERkVhVvZCFNwtQnNbR1eaQLvIidd4XFyAk7k7sXrpDCSOiBKGxY7UAkICTMznYp6XnYAWZx9tBbSYqGqvtZLj4/5tBdQshC0KA2PFCCdhV3bWCA8OwqIFc5E1Lh2DBoRh6uTxMkA3YuXSRRidMBwhwT4IFraWmTIUcyanYcHMCTibdwyvReJ8DcHX/4npQStQGO22rZtx4fw5tdCWnp9/GjdFCrOuE5kE41espjkpa7ywzVNqW/rp06dUjScG6H093bF/7141SFkHKi0pUQHRujWrcPHChXf7pp/Nz8eNG9dQXfVKHcui7AUwN+qn4kMsbMdSw923vXzpkgrCf+3nmjOxjL35+3jBTUA+TeTygX378ECY6OcqlcybBGdZuUh65fJlqgwOE1xHDBuCU3knenW28EPrFdDqbG8RkCjCssXZGCgnx9ud/Qu94OfrBg9PJwwYMACZGVkICQkTgLASZmMKcztjWAiTshTQ8PDzRfaylbj38Jmc5CsYlz4KrsKG7KwFtESa2dpaipS0gobrCOVnC0t5zl6DyJgYHBEpWNPYDOZ1srTH27cskFaPi+dykJURjwGhrvBzZ3kZASABS62W2fLC2gSomJRKwLLi+zCNQVgVY23cxkHko6uzFdxdWbfeRpUSCRVqP3/WdGRlpsLPx1WVYB4qzGtAeJCwMK16nb3GGD6ulgjytMOAYG9kz52NontFf+qd9M80VtUkaP30j7+p2mQ+Hm7qhkR3cdCoRbdlZaUKKBiQN+77swIuBtY5y+cjIGVhYqQqC8QNicWRQ4feJTIy/pSRnoo+//i7Or+suqnfN50xl+HDYhVA0ZYuXogf/vYfAlz9ddt4/nos3JbVO48cPvRV1Yr6lFEWEqQzx6SpNYA8P1xWo0olCyNlORneMJ49ffquECDTdrobbxQEfqaccCLkYXExCu+w6e9ZbN64QQXZyXytTI3kZuqLlcuW4snjx18d6+8V0OISnvraapw9fRIZacnw92ZNKA9ERQYhQjw8PBzR0UNEHvqpPC17ASRLW7mQhWnZCHOKGDAQ+w4dxeu6ZkVjp2alw8vVFvZ2ZmrG0FZYjqUwLTIuzjjqQSslIwMFAgjNgljtTBdTX8YbocNV2L19DQZFeMHT2QweThbC3HTllu0EmDgBYCvgZGVtJvsygpl5X1haGSkngGk0lIcW8HK3E2cNLRt1l2I10ygBqLAQP8XACGashMpyzFoBPya42slnYszMU97TR4AsY0w6rl0vkIv0rwlaeqbl6qjFzGlTsWHdGqxfu1r5qhXL1BIVTnh0Z1oTszKRd/w4zgjD2igMi+BF9s0id1Wvqrr2rAOtMSnJsDDur9jZxg3r3u2bvmb1SuzZvROPHz9S25NpGf3yE0bGDVXMbINInO7bbt2ySc3M8Vj+KsYJhP379iI+bog6xzbmpgpk3EVNDIoKV0H7aZMnCSFYhG2bN6nqo5y0YGVTLr9ZvnSxSlrVlV2ORpCfj/oOCIIEwwAfb8yYMhk3rl//asG8V0CrtakBL54+xvGjhzA2NQmDB0ZiSPQApKaMxKjRw5UsHBIbh1GjElVSqIubRpiOsBsBJRsBpCgBrYMCWjU1TbgvIDR94lh4u7I2O5NGf2VXNjYWKhCukTu+h7cXlq5ajWeVL9HS+bYLtCgL3ggtfiwMZ5IAp50AljmCfVzg6+4Ae2FT1iJHbUTX22psYW5hDGOTX2Bq9gssBLAIYJbWxnAVdhUc6C6vd5Q7OBsJiGSU93TU6CqhEsToBCw+ErA0trqMfCdnVjm1gZeLtQCvA4bHDcfR3BNoaGzSnbK/mOlBi8Hzu3cLlXTp7nop1j2mxcGkZ5as5nr50kVho6HwEDbEWuj6mVWCli6mpVEyhpUPuL/u3j3VQx/TYsyM+/9oe/X9//WMn7FS2FT+6dNYtXypWqPI8+Xl5gJbS3OVRvKzMN0+P/wdxr/8rACJjJa///j3/8RP//1fqlwzr80AX28Vf2SW+z451/z+OLP7NduXB623nagoe459u3dg/Ng0DB8Sg6kTx2Oy3G1HJQxDwqg4pKWlYfGiZVi/fiNGJsS9Ay2mG3ApjqenJ+bOWSD09imePHyMeTMmCkOyUSBjL4zIToCNawwZz3J21sJB7khevj5YuGwZCjkL1dbO3FYejRzTGzx8cAsTMikxjYX1mGFgqD8CvdxgYyGy1MxEGBvXQjoryWlq1k/YlalKe6A8pEwcPDgCE7KSha57CygxIG8lrMpW5JCuCwp/dnViSWcCFlkW5aQ1HF2ElbFctLOtAi5PNydEx8Ri+659qK37+rui9GR60OJAoFT8lH0KtGhMfdixdasMQDM1e3jp4kX1PBmaHrTIBP6V/dUD8b/HeCPguWRTE8pHpokQgMZnjFUF/D50NsNgDhyl8+GDB1VeHeW3DtS/Lhn4KfvioMUL8uGDe1i7eoXKv2HWc/bcueoxdvBATJmShR07tgp134JsuahjBg8Ai/SpYLhGFwB3dnJEcmKKfElXUfr0OZZlzxKWYidgoGNa+sXRdvKok5caAQhnxCUkYPfBQ3j5ukaYVqd8Ue14I1L1zs3LSE+OE5rcDzZmfeDuSLZkB0szU1iYm8HKygrOLq7QajWKxYUI+0tMjBfwdFadeFJT40XqTEdUhMhZOUYtQYvvKaBlLyDL2URHYVlkV7YiWx0IZFxDqerPO8BNGJabgKufAOvEyTNw5dpNtLS28XT95ayo6B4iujrCcEB8yjjQFsybI0BupwbahxKNrdbYPYZMgbNnL54/UzlDBC3mXjFQX3DjhkoD6O5sqVV4545iC/PnzoFp3z6YOXWKPH9JzcR9uC0nBtixm8zrW7H32KSe4XaxXL3/VQCqJ/vCoMWAYguePHmIs2dPYcO6tVi6ZAmy52VjwdwFmD1zJjZvXIe9e7Ziwvg0RIYHwMvDWUDKXgBDl3JAQHJ2dsJgYSTbtu7Ag3v3sGHVcgT6uAtAiOzSCvvRmsLSzgjWIhftBOTsZGDYaO0REBqKles24NmLCrx6VY2y56V4VVGG4zmHEDsoHHaMU5n1FTeGldzlrYRqW1szC99SwEpAx8YOPp5eKlazOHs2AgPcoZH3GRwdqMrqeHs4wo7AJMDGEjgaAS2NsCx13BpxOwFUjUhHYX6ODlrY2wmw2QtwOTrBw80DcXEjceBQLl69rhfpopMBfzUjuxoUGaGW4ZB1fcoIWoxpMS2E8q2nuFKx7Isyk7lWXI/HBFOWHyaQMcA/KDJcZdN394iQQGSMScPt27dUTIs1zp1E2jNONvCD7VlCmBn6nLn8MGhtsK/XegG0mlFR8UIuqgJsWL8O06ZOw8oVa3A2/wLOnDqNDWtXYdqUscJafIR9WINdcdgcgnlRTOxUQXEZ/O7u7pg4aRKuXLqEY0cOIy52kAIGa1tTWNkbw8KuP6yZDMqkVAEuG2FJoZFRWLtxM54+K8OLZ6XCsG7hQWEhDu7ZJaAVoZiarY0ZLCxMYGpqBHNzE1hamQtomas2+zaW1jJQBmKHsMCF82fC18tBgOwXVcWBPQ6dGK8SSUoZaSVuKYPFzpFrHXWgZc/0DQFQR2GKWq0DtLZMjWDjC0cB6AFyHtah6EEJmts6/4okSxlnpggwjI+8EgbzKWNhO6Y3MGHx1q0CVfqnJzuXny83tbnIle+YC6VPHjuGebNnYuqkCT06SxRzyp7JqBfOncXcWTMwZWJWz9uOz1RlVm4WFLwnTw32dVsvyMN2sCYVOyMvXboEq1atwcWLV1BW+hJFd+9h9/YtwriyMCDSB17u9nJHDEZoUICwFWsVP6Lss7QyExCzw/jxWbh96zaK798XoJusCgeqpFKRbHbCtjSOwmycROYJyDm6OiNz4iScPHMW1a9r0VDXiJflwrhkINy4fFHu4KkqyZU14hm36te/jwq6M/jOGJallQmsLCzkTh6iBkJC/BABG2F1lj/D2vxneewvspB5XQJaNpawtLGCha2NsD0WHrQUKaira28vx60RdqXR2MNBo4GTvbAtrRbxw0fidP551NQ1iXQVCv/XZe8GM9ifar0QiO9ATc0rXLlyEXl5J1Fc/BCNjc1oamwRAHmJ+3dvY/fODRgymHk7vnKXnSl3ygmqjRjzpVhqhhKLXaRnz56DR49K5O5eha1btyE8IlSXjOrAGJI1HJj06eYoLMsW3gF+WLJyFa4W3EJtXYMqjaPK44jWL31agvlzpglb0ghokV0Zw8yiH8wFiDhDaGVtJGApwGVuLMzKUiXEMk5lxdQH8z4wNfpB/Ef5uT9srSkpLQQ8rQW0bGFlx4RUzhRaK0CzsyOoiWRUoGWngvSO4gOionA0Nxe1DQJaAljvamV1ucEMZjCd9QJodaK5uRFVVZWqkFh7O2ctKBfeoKOtHVWVZdi/ZzNGDI/CkJhQrFy2EDOmTYa7m4OAgTHstTL4ha04OTkhLS0d5y5cwithTrfvFGL2nNkIDPRX7b+cBLxUDXkvFzi4OiI4Igzp40Q6rN2Ah4+foq25FY019Wiur0dVeSlWyfv4ejkLEyKLY2qFMWw1JiI3BbRs+qvZS0vzfgJOBKk+MBcWpot/9YNJ/3/C6Jd/wMT4Z5GSXD5kJa8jaNkIaAnb0+picdYiPS0tKTVFKtppRI5aw96WM4k2atnS4mVL8KysDK1v3qhWTd2By2AGM5jOvjhoMQ+HS2fIuN51GJExyXH5VlhPfc1LXDx3HNOnpmNgpD+GD41GFJcUONjIgDdWco0D39rKGl5ePliydAVKnpWiurYB+ecuYNLEiQjy9YWLVteV2tndEVoXB4REhmPQkCEYP2kabtwsRHlpBa4K4BXevo2a6ioc3LdLJGmwgBaTSfsLUPUTWWcCewdmwxvBwkqkIvOzBKgsTPvC2kLAzFyeN+0HSzrzt4wFyOT4bKxFHoqbWJiLTCRg6TLpVZ6XsZE4A/3CxmQfXGDtJLKRXaOT05Jw5txZlFZWoqW1VTfr8xef6TGYwT63fXnQYlMLASwdeHUNSAVa8nNnOzrbGvCspBALF0xFUIAH3IUlubk6K3ZlaWkKU1PjLjcRxmKFpOR0XLtxB3UNLSgtq8TJEycxLiMToYGB8PF1g6ung8hEe3j5emNIXDw2bt6BxyWluF90H3v27ME5ATr2FCy8XYiJE7Pg5e2qstStbYzl0VSYnYCYrQlMRQaaCWhZCXDSGftiNQkCmY2wK/ZKNGfw3sxIjlO2NzNGfxMTASpzYV5cC2kKMwE5Bvj5N3P5DARAsjVHe1t4ursiNCRY2OJMHD+Zi/IKYVwCXFw0qztHBC6CPB/pBjPY92lfGLRoukH3PnvQDcg3nc2ofvkMeccPIDU5Hl6eLsKW2MVGJJ6jAzQakVRarUr2NDMzEzdHVORAHDhwBGWllXhS8gIPix/jxPE8LFuyDKlpoxEU4qXKyDBNIiZmGM6cvoj6+ma8KHuhGlI8flKKpuY3IjEbkXPsJGbPnYWhw2JUbXmuY2QA3kJAyEIera316xq55pCLqLmsR9iXRT8BIDNhWkZyTCIhBYhMTOTRlK/njCcD+f0FzLj0R5iYLXO/5FGlWBjBxpy1t+zh6uSsWOX0aVk4mXcMFRXlaGsVVqrLf1DnSIR01/n6PEY2x/Vo+hpTrEf1vuvqUHHB7IeMj783NjaitqZGLYLuyQi8tbU1qp4VS510d+6bBeY+3O+HxsW8zNv6d5bbMB+QSZP69+Fn5Gf90Pgcy62oz9/tc3MhMl/DG2t3a25qVufj/XOk91fqkVUSmBdlsD/HegG0PmUyAOqrcTJ3L8aPHS1SLQg+PmxyoVVVGtzd3RAUFISBAweqdAfmTVmJROTzkyZPwKGDB3H27HkFXNWv6tQjn0tMTICvsCwXF2eEBIdh9669qi1TfVMN6hrr0NjcLlLsDZrFK169xoPiYuwTqThsWKzKrDcx6S8MieVurNUEAEs1M+2C8SmNliVw+srff4GxbGcsQGVm8QtMzH5Cf6OfBLxMZTvGsoRxWQqwCXBZkcHZc/G1AKC1AKG5gJewMY010x80cHW0R3CQN8aOTcGRI4fx6uUrVfpZh1OfH7Q4yLZs3NCVMT1GJfl2dy7Q5Vo1rgtsaX1/pT9BlUmekyZk4eyZMx/15+OA55IczrYyFWH6lEmYIfuiT58yWaUdcI0cqy0Q/Hoy7uPEsWOYP2e2Wmf6r4wAyMXAOXLumBE/Td6TeXXLlyzGsZwclL7QLdbWG4GKDUi5WLj7554wPhPZ8+bhVF4eautquraG7PeIyjbPHJP+3vZ0nsOscRnYvWOHAtk/avwsb+SGRWD9Gv1DQP9S1mugxS9E7ww4t7e34tGDO5g7fTwigr0RHOgNLy8XAQsrYVus/BCJ+Pg4JKckIojBdhdHODoKoAkjCgnzUWsW169fh5LHz+Su/xatzW/x5HEpNmzYgjiRhd4+PiL9vDA2IxX79u/EnXvXUVP3Sg1Exo+4QLm1rV31NywTFrZu3Vp5zyiRpRphSMyzslNO0GKwnbOK1jZcfyiy0ULcUpiUrTGsNSIRrQXETEU22rHGvRu0Dk5wdGaZZxflru4e8PTyFGblKGBlAXsBNkdhkfY21kpmcomPp7DMcTIArl29rtiWzj4/aJWUlKha61yLFhzgh6Ex0SqbXe8xct5Hj4hXta2amt9fk3b8WK4qrfzj3/9LbjRjVAmV7sbcJ4Iay/SwigNngQkgM7p8TGqSKj0TGhiAg/v3K1b2oXEfrGTARb3HcnO6nu3ZeC2x4ieXqkSEBGHUiOGYMmmiAtVhg2PUsU6Qc3r71s13eVklJY9VoqpRn58QFR6iFhHTB0VFwENudB6uztiwfg2amnSgShDs88//hrewf56f7ucrdtAA9do1K1co5vZHjZUd7t29p0D7qIAwFz9/LX489yjuFt6W7+zLL6ruVdAiUvOxtbVNlSs5c/Iopk9MQ2iABzzcdF2f7e1t4R/gi6SkBAwdGo2IyFAZ0K4CWg5qXaGrmwbuHnbw9XNF1oRM3Ci4KRS+DU2N7Xhd1Shf+iNsFOBKSk5GQKCvinMNHhqJ+QumIv9sLu4/uIWnzx6grq4aHXKRsClqm4DX/fvF2LZtO1JT0+Dt7SPHoRXmxex2WxWjUhLPWliYxY8wNf9ZgEoAi9n4DgJoAl7mAj5+gWEYPiIdKalTMGXaIkyeuhBjM2diXNZczJy5BGPTx8Hfx1sNamcuN5KByfLCbODBnLOYmBi5WHNVOojO/gTQevxYZYoH+fvIex3C40eP3nMmabKpAQvAdb+zNggzmjp5ohy/p1ry5O3uKoMr971tCAwsdczqAezk8uzZsy6ZSBmlK4/Cagsm/fqoDPqnT550vfJX4z4IdJamxqpSwW/ZrZs3ER83VNWdWrNypeoGTlZNRsgE0jnC+Fg9InlUgny/unWRrK7KCgmhgX4q2ZXng87Xssww441hwYHvig6SMVqZmahKER+dK9kXH1kaRg+Kf8QIfDxmnl9Hja2qdd/bzqKMPB7ebFlNgt/ll7ZeBy06V+/fv38P504fw/qVCzAowl/ucFpERAQjMiocIaFBGDxkIAYMDBVwcldJmmwvxhrybu464GIdrljZZsfO7erCqaqqForeIJKTy4aeIzc3F1lZbAbrIyzHCVGR/sJkEjBv7nisXDkbly6dEpB7pWIWba2daGlpR3n5S+TlnRHgGgMPDwEXBwe1npDZ+Xx/O3szAS2RgcK2WOdL42YPrRyPtVo25IL4UeOweUcu8i/cxe17L1Bw5ykuXr2PKzce4u7958g/c0FV5fRw0cKRaREiORXrcpDPJOxy0KBoHDhwWEBLL8v+HNBiPXeyLS6b+b1WcP26AiyWP1YLn4X1zp45Q8WC9MaBu37NaiV5N65f3+NAfvKkRNW14pKamzdudD37q/E17O5jY2GmWsR/yvi+LFfD0sDrVq/usawK+1NOl4HGAUewZIyMZWxYHSF+aOxHlTlZgz5B2L2/t6fqikNjdj0B5FTeSfX7n2ms5DA6YQT6/vQDogdGKkmtWOrUKb3m82bPEgYbrypFsKQ2l1Z9aetF0NLFKxgwbWiokwFzF3nHD2HRvCkYEOGH0CBvTJqUiTFjU4Qh+SAoyAvp6aOQPmaUSD12m2Y8yx6eHuw2zbiXvWpcMToxHstXLMT586fU3byjvVPlgtXU1CI/Px9z5s5GQkI8IiMChF04IcDPHmEhznI3z0Du4f24d6cQ9XWNclxyfB1vBchqsGfXfoxJy8CQIUMRHT1Igai3jwccXQSc7MzgIAAbFBmBhPQ0JIv8iIqNw6ChSVixdh/uP65EXcsbNLW/FX+DxrZONHe8QZt8/pqaemzZuAnhIQHQasxVCoWtJStEcOLARd4rFkcOHxMg1csmghb984MWW2rdLbzT9exvG783ghG7IHPJDF83JHqgfGf+ahGy3rqD1nqR2z0BCZt6BPn6YPDAKBTdu9f17K/2e0GLko8sgG2uHhUXdz37sV25chneIgf5ednujKBJ0GLBRpZ6YYno+0VFauH33j27VInjieMz8fz5M/X6yQKMrJVGafxnGxdyJwpo8fyxhhZv7oz99aZzQobfMSuYjBBWy76SX9q+OGi9G26KaTH1oQUNdZU4e+qwWr4TNzRCAMoDwcFeSE1LQNzwaJF0rvAX+TcmPQETslLVQmUPD3v1nK5Es6MwH42qpODp4YDwUB+5K42VO/c1NeA7mLgqXltbj7t3i+Tiz8U8GQgDQgPh7aKBl7MNIuX90kbFYcem9Sh9VoIOGWBvBezYoqzo9j3kn8zHkaM52HfoENZt3ozJ02cgbuRoxAyNx9isKVi9cTuOn72M/CsF2HXwGPYeOoXC4jLUt3SqtvXtb+UYWM9JzoAednhM167eQNb4LAyIioS/r78MKF94ufvDyyMI6WkTcOkiO/XoGcqfBFpyFw/085ZBuht3bt9SfvuWzlkFgQO5e+yCjVR5l6WkZKCdIMZAuZlxX1UWuLlFxwwJOCwCyPI8LHnMSgv6/d+5c1uVPc4alwlHAQHKR5ae+dB+L2idPHEcpv37YmxaimJUnzLOKLJnIqU4P9+zZ08V2PX98QdVk4oldegsr2Nu3F9JokMHD6CzgwxXQGvCeFWvna3r+fru54rNNoru3ZWbUY06J3/U9KDFumInjh/rerb3jTcXSuoRw74z0FJ5WW/b8bazERUvirB25RykJA3FyJFDEBTM/oSO8Pf3RHCIHwYM0MnCUPk5JiYSfvKzv58nwsMC1AxjeESISMcIeHu5yl3JBu5OVgJCnti8YS3Ky14K0yJoCVjIddcpj431Tbhx6SpmTJyMMD8/+IoU8xa2FuDtjHGpCTh6YAdK7t9GxfPHuHT2DE4cPoLiwnt4VV2DqvpGvHj5GtfvFCM37wIOHzuHS9fvoaS0Sv7WiprmDrysbRJvRl3rG7QKYqns9i6nLNYbc2urhcmdPXsJO3fsxaoV6zB/7iIZyNNFhszHof15KJf9dhL11Mv0oPX5jPEq1mLv1+dHVRCOjIfO5+gRIcGKabB+uN6Oi9QmyxqTmozqrpjGmdN5cHN2UAFpPWPiDBMD8ayLRTZDqUM5GccmI34+8JDzToazcP48kWmP1Ws+tN8LWvyblamxklC/VcSOTIFB9r4//4CrwhhYnpiVJixM+iNZjo1MijKT3Z1Zy4tScEJmhort0Tjj+c+//acatDw/3c8VQY+f7+L5c/9WesanTA9ajMPx830OIPwcduf2bVWV9zsELc4cdsjAbRbQeoBdW1dhycK5mDNnDmJjYxEig2XYsGHIysrCrFmzMDRuGGLlJI3NzMTwkSMQGh4ugBYiMs1bGFkqFiyYK68bKAPHDu6OVvAV6TguI13ufndUfIoDn66+dzmIBmFdJ3OOYWxyCsIC/AWwPMDKoYE+rkhKiMbiBdMESBdi/JhkpI4aga0bN+D2nbuoqm1As0i9BgGkmsZ21DS0o6H5jaqG2kaXz8W1g+3y2PKGFVJ/BawPQYsgysB/Y0OzDJ4y1cex+EGJMMRCFN56gFeV9WiX9yG46U4c7/af98Ll7GGMMC0WPCSoMG7Bga93DmA26mQAncZGokxZMO3XR037n80/I2zxCvaJlPL1dFNB9T07d737vCw/xHruCcOHYZOcQ5ahYWWFAB8vaKwsVM0rBso/Zb8XtFhSmKDF1APmSX3KGNwmuFjL570pzIjykJMInCVlTK+xsUG9njlabNU/eUKWKmdMZsXZTaZtkJURrFSMqdv54raLs7PVoCZg/1EzgFbP1kugpU936MTbjlbUvirD1fOnsW3TJsyduxDTp8/BwuylOHQoRxX6y8k5ieWr1mH77v04dfYitu3aJ/JsNpLSMhA5MAZJKanIXrgAycmj4O/tBk8nkXwu9hgYFY4dO7bLhflELsJGGQBdhdAESDpF+lWUluHIgYOYNW06Jowbh4T4eJVq4eutRUiwMDiRmb7eLvD2dMGQwTFYuHAJ7j94jJa2TrCEu95ZurlTkKVTPk+HOB/f/dw1eOm6z/wraBGMeB1y3SWBS3W3lp+Zl9Up7FDUswI13Uv4Dy/azwxaXTEt1hdncwQOzA+dtab0x025yLribFxB6RQVFiogEKbkFOuV/7///b+QITcRfZcbzrIxJkPgYxInQYj7JMgEiSQlYLCC5qf6+b0HWr+R8sDZPS7dYlfrp09Lup792K5fvwo/b0/FthinItNkY5W42BhV+uZDyz16FOZGfVXByleVlYppsa0WJeOH54nOz/G5wMUAWj1bL8a06G/Q3tyC4jt3cHjPbqxYuhxr12xScomMg4HqxsYWvHhRoepMlVZUo7a+Bc9LK3HzThHyz1/BokXLkZIyRhjaXCxZvEi1TfeTi9BdawsPof3x8cOxYsUyXLlySfZXLYOgDR2d7fLYrrK4X5ZXolAYVMGNmzh18gwWL14or4lGQKCHyFMPREaGIiZ6EIYOGYqJE6bi1q27cmGy6ulbcZGdAiqdwqhUZx8BlI9dD9DvA5bemDyonuf/8vM74+/616jXdffPZ3rQio0eoOIxv2UcNBvXrYO1gFNUaIiqc6Va2Wezlf1CNaA5M8cUDs6uUSJtWLtGF4iXx+6BeILRzu1bFcNjSgHZWk/WHbR+K0+Ls4cTxmXCRd5r86aNPUpEZu7PmzNLSb5Vy5ep49PPHjK/6sM8M9qB/XthJqCVnpqk6oPxM7KoIGNof7YZQKtn6z3QoskvTfWNyD9+CpvXrMeRg0dQVFQsd2SyIs4s6pwMScWlxBmT4iO9pakNN67fxO5d+3H61FncvnlLgG8pwvz94e6ggZODHVxdHREWFoRp0ycjPz8Pz1+UoLGpToCmXS4Cgo+46Lm2tjdoEqn34MFD7Nu/BzNmTMMUkUGrV6/F9m27sHf3ARzPPS2SgUtruo5HMTeuDaTLBfURuOj9t6ynv+tfx4uUrv9d75/PCFpkpIwtHcs9KizlqfgTxU71zm24dIVxncGDBqiijEx2bBfgJ6hyMLFzOGUVZRKrhTILnsxF16HYDmtXr/oISJiNP3niBNV0gVLzucixD42gxaah7MCzcf06FTj/9fhK1COXH/E4WE55YEQ4woICsEMAkZ+FMSx9Sg3ZHoPurIaqLwXN3CoyRtZsu3zxom5GUV7Hz8xJhtEj49V7kzHyWJjywEA8j4XvzffQnyc6k1UpKznT9kfNAFo9Wy+Alm7QqX+FWbBEzMO7xbh7sxBV8iXx7qfvmsK4gAIGeeSgYBWIN/yd5WwYKxJgq69rQGVlFepqG1H7uh4H9x9AenIqoiOiRNa5q5lFdw9nFdDPyEzG+k3LcbvwCpqaa2T/zWhtaxRa3yzAxX6MIvdaOuRiqVKzjLdv35WLsgwVldVyl62T/TeqxFXO5rWLJuSyFV3FCtGHihF1fbDf6/IP2Zh65OAX11W+0DvjIvR3L/jsRnlElsWByLQFBtfTP/CkUSNVTIe98VhPjLlL3QPz3Y1BaMa29OkPHNzsMUjw6on9cAAwrYBMaoswpA+bghIoGAPjzCBzubofH7vQUIpy1rO5a9/n8s+oEsrMsh8rf2NJ52x5PT8DZW1iwkhcOHfunRwlOFGimhn3w8i4YWr2ke+RmpSowI9ScFzGGDx8qOuWzTyvvj/+Q44lQB3Dh+craXQCZk2bqhJd/2hcywBaPVuvgBb/Uz+rQSrMqU0AQy5ONfDfPS8g9Z53PSdfnCrSL+DFaWh9zKdTXt7U0Iq7hQ9wLOekyJjNyBibKSwrDL6+XnD3dISPnyOiBwdg0ZLJuHL1hLC6y7h69SRu3jyH6qpydRxv5VrubOUxvUW7sK92YWGCZ5AfhZ2Jk/3xvQmaZFmKackfeBA8/J6c15reFQ7JMStZKMdPl585SdBBkJYP0tHZhnZxHYvTfXbdjj6/UfKsXrlcBnochg8ZrFIZPvRYATNmPzOQztQFruvjqoGerE5YzWphNONloDPFgTKR8i7/9CkB+4/ztDiw80RqsWvy2jWr1fF0N/6d6/0IJvFDh7x3XJyFZE/DbVs2qaYXNJ6rx8IIt27apBq7xslnYj7RxPHj1CQAmVp34/vNnT1Tbdd9/0w2HZuaoiYSSrr6KNLY7Zrs67fOFdcmXhfWZwCtP8e+OGj9UdOBFyUJgaMLtOS7lF8VyDQ2tClG9OJ5pcjBS8ievwQjRyYgSO78HgJcHp52CIvwwPjxI0QCpiAzYyimTU3FiWOH8Kq8Ep0tss9WkX7i7Qy4yz5bKR8FWDoImN38VzD5DUDR/1mBlhyrsMO3wtIUa1QSVQCbQEjpK5+lqbkRT589FolS8q6ygu59/hzrEGbLeBDjOVxK1aOXvkBlebka4K9eVirG9FtHxDwptrRiDIkLhzn4VOWDTww6slzOTlZWlH/ExvjZCUiUmuU9HZt4be1rNeHxobW0NKvX8LWfSkHgjYJJyB/uk+ejJ2ZIUK6Qz0am+eFrlPNcVVa8++7+iBlAq2f7y4EWTTeQCRw6wNKBlgAZ2YoKkAuACdDU1TbjXuFDHNh/FFOnTEdMTDR8/bzU0h9fbwcE+Iv7aRAS6CIyIxFnTp5CfXUd6qpEDlZyoDWhTQCmVfbZStAiuCiG1R20/oVxm18PEi2NDaiulIFfXyf7akFLc72alaqrYdflTpGjD7Fr1xacEPZRW6tLkvwzQctgX68ZQKtn+0uCFk0HXN0xgexL5wQuXcAeaG15I9KvAdev38bGjVuQkpqOoMBA1RiV3aA93W3lZ1uVKjF72gxcyj+Hk7mHcejAHjy4XyR3zBa0CTtqFkBpE1nIZUGK4f1u0OLBUfoyDteGRw+KcOTgPtwuuIqqyue4eeMS8o7l4lHxI/n9JXIO78PMGRORl3dC7vS6WlMG0Po+zQBaPdtfFrQ+NA5sHWjpmZCOeVE28rtuaW4XyViBI0eOY/KEqYgZOEjl57g6WcPFyQrODraICgtH1ph0JI8eivjhA7Fu3So1k9TU2o6mtg60iFNmMDj8+0GLgMXGq21oaniNg3t3Ii1pJJYunIvcw7uQPWcasmfPwNXzF3H94gVMnTAGGemjce3aZRUs1n8eebOuHRrsezEDaPVsf3HQ4kCmE0D0YEUWpHNdEPtXEGN+VWVlNS5dvIrN64V1JSbBTxiWk5alYTTCvFzg5eYML3c7uLnaYNiwaOzZsxvPS8vR2NKO1m6gRZn4MWh9DCy6rP8W+aEFT0uKMFtYVJC/JxLiB2PG5LGIi4lAZkoS8o7kYPv6tRgU7o9hQ6Jw9OghsMtQexvjXl/HxWqwL2sG0OrZvhnQeh+4dK4HLTVLJyDGag+twppYE770RaVIsVxhVaNUfXYClpuLq1q97uGigYe7Fn4+7moK++TJkyq+1N7epmbNWDBQl6Oli63p379n0OKxkDE142bBBaSljkBEWABmzZiExXOnYOjACEwePwFnjp3AUmFcYf7uiIwMxrQZs3H6zEWRtvXyXm/UzCXfoVOAUi8Z9W6wb9MMoNWzfTPy8LeMA5tfuC5JtV2BF5NTK8tfYc/ufRiVkAR/3yC4OrvD2dERHs6O8PFwEXeFv7cH5sychgf3ClXQnDNS7QQteb0u3UJBiXjPFxQxRcf8WnD33jVkjkvG8OFDsHfXTmxbvQwjY2OxfPFa3LpcgGUCWhFB3ggfEIHkMVnYsy8XFWWv0drSiRrmo72uRn1zk5rxMoDWt28G0OrZvivQYgCd0k6BlkhFxrmePS3FwQNHhAFlwNPDF1p7rY5tyYVCqcgLJiosGFs3rkNR0W2V51PzuhZtrR0quVUHGv8CtAhuAlwvX5arZULJycnYsWUHFkyeiMHhEVi6ZA0unT6P7CkTEBbgjbhRo7Bu207cvvtAzSrWyftdvnoZR07koPjJI7R1Td8bgOvbNgNo9WzfKWgx/6pTGEyHAq6K8irs2rkPcXEJIgvdFWi5OWnVxUJnPaMRcbGYP38W1q5dLXLxFMrLKtVMol5+/hZokYzRufbuxIk8rFm9EQf3HsKEpFEI8vZESlI6Fs2Zh8TYAQjwcse4SVNw/vp1PC97hqdPHqDw5mVs3Lga2Uuzcf1WgYCWbgHzh26wb8sMoNWzfWfyUBdIp7xrE8lF2cWE1OamDjwsfqLWGI4cHq8YFoGKC33pnq5OCAn0RXhYoGqwMXfufNy7W6zWIKrlRb8JWgIojH3JJkzDePasXBjbI1y7dAXjE+Ph7mAHX28fRAX7I8hVC183D0ycMgfHTp9GTu4BrFudjVXLZmP61PGYNWc2rhUUoFU+g/4z6d0AWt+eGUCrZ/uuQEsXz9LFtNoFcNpU1rvOuabw+bMyrFq+Ui0edhOwYsVNrugPCfBF5thUJIyMQ0zMQGFb62XbcvU6HWD8Fmh16JxxLdmsubkN9Q0NuHPzKsaMjIWLnaWqO+/uZAN3GzNEBUVg/cZ9OHv+MpYsmoMhA/0RG+WH6KgwZIzNwsVL11XXIH4mMke9fy0XtME+n3UHrS9R3vn32t3CQrh9T5VLe8s+HOSckSPodNBZsUGccvH8ec7wJcPT3QUOGhtxawGMUKxevgjz5s7E7NmzVInkxoZWAT8dGBK0dAF5YVTyrxArtfiZQPb2TZO8z2sByTrU19WqpS3Vrytw6tRBJMSGwcXeAg5aGwFHMziY9cXI2OE4e/Y6Htx/hBVLFiDY1wnuWgu4OTggOTEDFy/cEEnbJp+BIKyTurqZTAPb+taMoMWF3lo7a6xdtRJFd++qhOf7Rfd6zVnF4uCB/aoBy3dTI743jYNa7wyOs/ge41LKVbb7G5RVvMTOfXuRkDgaXt6eqgdhoI8LUhOGqEJwa9ewJMkLJQ0p93RBdgEsApf8x3/b5PcOYVdMc6ipfoj7hXm4f+ccTp84hMsX83DzVj4WL5mI0AAnONmZQMMGrha/wNronxgYGqSqHRw/ehhzZkyCn4cWDramcHLQInF0Kk6cyEfVK04EiLxtFZmr2KJuBYBKplVpGAbw+haMoMVKFqwq4eqkVa3eWKyRj73lg6MHwNfLHf/8239g9IjhBtD6UvYOuAguHcy5YrIogasDjSK9SsorcCAnByPlLufkaAtHARVHGyN4urlg0cKlePrkuQCFTu7RVfG+LqbDPKq2znYBlHq8Ki/CySNrkD1zJBbMTMaYpCFYtngmjhzeiszMeHi528DRtguwTH6CpYCWi8YcQweFIjN1hDyGwMHODDZWpsLG7BAeEY7lK1ap+Ftzk7xHi17ictExKyIYQOtbMi42Z0kf1jCLCA1GVHjoV+E8lgERYaI+ln3Udu1L2HcJWjQ9cP0qGXWpEC3CuhqEgZVVVWO1XDDBQb6wtzaBpfHPwrrsMGvWHDx6VKKSTMlu3gGFAgvul8UJa/G46CoObF2EjFEhIvHMhK3ZwNvNDkkJQ7Fz60Zkz5+NsGAfodkmsDLtAwuTn2Fp+jM0VkbwcbdHRKC7qnVv2v9HmBj3gZWVGZycHTBuXBYKbtxBQz0XW8sxi7zVsSwCqAG0viXjdclwAitKsDghiyR+Dc4ih+zIVCuAxWP80vbdghbtQ+Ai02JVhxYBgVaRigUFNzF1ikg0bw/VUcZBq0FKSgouXbqExsYmJSl1r+1KNFWMqx0VTx9g+9oFSBjkB393c7g5G4u8M4WjvaUqLLd1wxaczMlDishNrcYSZgJKpuImRj/D2dEGcUOiEBcTClcHC5j0+yeM+v8EC0uRkcK2hg4bhj179otEZXXMZgFapnLowEoPWAbQMti3bN81aNH0g5xSkQ0vVIBeMSigvr4JZ/PPqb6E7Eno4GCPwEB/rFmzSu58z2RbBsS7FlALeLwVydhY9RKXTx3HhPTR8PNwhI+XC/wCPOHuyTb+doiKCMHGNetx69pt1eg0wN8bFuYmMDL6Bf37/SRsSouMsUlIT4qDh5M1LISFmZv1g4WFMDIbS7h7uCMhYRSOHDmqOiAzLqcrl2MALIN9H/bdgxZNP9h14KWLU9EJXNXVtThz5jxmz5qP0NAQuLo5YWTCcBw7dgQ1ta8E4FoEtFrxhrOQjS24dfEilsybqxhZ3OhkZE6ejpnz5iEpLREBwR4YMCAQUyaNw8F9e7Fty2bZVzz8/Hzg6KSFpbUFnF2cMGxoDIZFh8HJzlSk4y+wsjSGmbkRTM2MRSZawNXVFatWrVRt0/Us0TB7aLDvxQyg1d1kzOuz1+mUfMycr61txM2bhVixYgWGDRuMoGA/TJg4Fmfyc/H0WRHqGl6hs60NrXUNOJVzFHNnzcKK1euw92ie6jh97vJlrFy3CoOGRMLb3w3+wV4YOXo40sakYmzGGEyfMQ3p6WkICgqEf4AfgoTNcdG2pcnPIg9/FLbVH5bmpjAzNYW5uRm0WnvVH/JJyRMVh+sUhNVVtSBoGYDLYN+2GUDrQ9OPewVglIk6+dXU1IonT55h/779qr9iRGQQ0seOFHCag/MXc1FVVYaG+tcounsLeSeO4VhOLi5euILbd+7gRN5xLFiUjbTMTCRmjMXQlCREjxqBgbHRGD8+U9VUX7Jooao4ERM9EH4+nrCxNIHxLz+o6W6jvr/A1tIKdla2sLG2UjKVJaTPnb2ApkZheYpl/ZorZjCDfctmAK3fsF8lowCXOGfquE7xwP6DSEoahbAIf4RF+iBrYhJyT+7FvQfX8aD4Fi6eP42Nq1di56ZNuHQuH3v378Xilaux+9BxnC24ixPXb2Lv6XysWLtSlXkeMTQaaYkjMHPSeCQnxMHHwwnW5v1hLCzLqO+PqhONkz2z5l3hKCzLyckB4eEROHgwB/V1zboJAF3HDB41D91gBvtmzQBa/8L0cSI+MrWAiZylLypw6NBhzBQZGDUgHIHBnkhMHSxsaiKWr5iFdWsWYVn2bKxbsRSXz57B6ZMncDLvNJ6+qES9yM0akZKVDTW4dOk00hIGw11jhhBvR2QkDkV8dAg8HC1hZ9kX5iIPObNoZvSL6s3n5+UNJwcHODpqMTh2KHJzTqKutklAlcBqAC2DfR9mAK3faYp1MbWATTNa34gcrMXNgkKRdmuRmJyA8ChvYV3uCA1zw6hR0cjKSMKkzDSsWzIfaxbOxJ7Na1FcWIDqymd49qQQ16+ewJa1CxAb5gU32/4CXEbwdbaQx/6wN/8JVmY/CmD9E6ZG/0R/kYkaa3M4C8ty1Grg5uaCoUPjsHnTdlVaR81eyoHp1kAaQMtg37YZQOvfMcED4oI+UN/c2IanT17g1KlTWLR4HpJZlTQiAP6+rvDzdIS/pwMiA5wR6WOHkYMCsGzOROzZtBRrl2QhKy0cA4Id4SJgZW/5s3gf2Jj+AIv+f4OF0d8FsP4ugPXfMBfgMu7/g2JcNpamcHLUwM/XC2Fh4Zg6ZQZuqzb9LFVjAC2DfR9mAK1/wwgHwrV0/4okY04X1ys21jfh8aMS5OfnY/XqVRg1cjgCBbi8XW3h5mQKB/t+cHYwQ4CPIyJCXBESaAsP1z6wt/0ZGjsjOGnN4eJkCRvr/gJQ/xD/b/G/wVjAy1wYl5VlP9hyKY+9lQKtwEA/JIwcJUxrm2JarFzxrtO1AbQM9o2bAbT+LROJqECLs3XdkjrlKWalt7a2ofRFqeqYvGJpNrIyUzAiPgYDYyIQHBYEv0Af+Pi6wS/ABf6BbNXvi8Gx0aqqREpKIsIjQuHs7AhbW0uYmvaFkdHPsLA0hrOLFkFBfggLD4GfnzcSE0dh7959Algv0NJCwOqUYyDT0gGqwQz2LZsBtP7HpptZ7Mmam5pQWvoc165eQU7OUew/sB+bt2zBilUrsWzZMixfvhTLxDes34hDh3JUasTZ/AvYtnUXZs+ej5EjE+HnHwhPHx+EhIcjKTUNi5etwOp16zFn3jzs3r1b9v9CmB7THORI1HHo3WAG+7bNAFp/kpGTcVE11yg2NjSipqZGlfEoLy9XjxXlFah69RoN9c1gvXkWIax6WYPiByU4ceIMVq/diJVr1mPbzj04ffY8Sp6XouzlKxQ/eiyAVSasrlUxq08Bp8EM9q2aAbT+BFMzjZ8Akx7/Jr9S2XEJEdMqGppaUP6ySnl1bT0aWlrRLjK0XbZjl2v9sh3D0h2DfY9mAK0/0XoCFD1odf8bf9TlWvF5hWHvUkXpHXR5skP+aOh7aLDv3Qyg9ZUYwUfPnpQTpOR5vesBjKF2gxnsezYDaPWqkSXpnPEpXVPXLpfnurMtA2gZzGA6M4BWr9qvoKVPo9AvfKbqI0B96NzSYAb7fg34/3PXQgiMLSLWAAAAAElFTkSuQmCC)
Which one of the following conclusions drawn is correct -
biologyGeneral
maths-
A weight of 10 N is hanged by two ropes as shown in fig., the tensions
and
are
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMUAAACJCAYAAACcovznAAAQlklEQVR4nO3deVRU9fsH8PcwDPumAqKCotLxKGoulZqliSGyDjuKyCJuSVlWmnkyPW6Je8QxEE+mHBEwFAInQFBIExdIRSVMtBQ47HuCA87c3x/+8JtXzQFm5g7M8/pT7tz7eOA9997P5/ncy2MYhgEh5CkNrgsgRNVQKAhhoVAQwkKhIISFQkEIC4WCEBYKBSEsFApCWCgUhLBQKAhhoVAQwkKhIISFQkEIC4WCcK4rjdrKaOrWVPgRCHkFHo+H2tpaFBYWory8HLq6upBIJOjo6Hhmm2nTpmHEiBEKr4dCQVRCeXk5jh07huTkZNTW1kJTUxPW1tbg8XiQSqXg8/nYvn27UkLBo0VGRJWcP38ee/fuxTvvvINVq1Y993OGYcDj8RRaA50piEpgGAYnT57EgQMHYG9v/8JAAFB4IAA6UxAVERsbi/j4eDg4OGDlypWc1kKhIJyLjo6GSCSCk5MTli1bxnU5dPlEuPXdd98hJycHQqEQAQEBXJcDgEJBOBQZGYmcnBy4urrC19cXWlpaXJcEgCbvCEdiYmKQnZ0NV1dX+Pj4QE9PTykTc7KgMwVRqsePHyM+Ph6pqalwd3eHn58fdHV1lTLUKisKBVGatrY2iEQixMXFQSgUIigoCHw+X6UCAVAoiJK0trYiMzMTMTExcHZ2fmaUSZUCAVAoiBKIxWKkp6fjwIEDmDt3Lj766COuS/pPFAqiUFKpFCdOnMCRI0fg6OiIjz/+mOuSXolCQRTqhx9+QEpKCpycnLB06VKuy5EJhYIoTEREBM6ePQtnZ2csXLgQ2traXJckEwoFUYjdu3cjLy8Pzs7O8PHxgb6+PtclyUyuk3ePHj1CYWEhampqXrqNqkzQEMXZs2cPLl68CCcnJ3h6esLY2JjrkrpEbmcKiUSCa9euYf/+/dDQ0EBHRweMjY1hZGQEPT09mJqaYvr06Xj99dfldUiiYm7cuIG0tDRcvnwZbm5ucHNzQ//+/bkuq8vkFgqpVApDQ0O88cYbaG5uRl1dHfbt2wcrKyvMmjULurq6zywvJL1feXk5CgsL8ffff6O6uhpXr15FZWUlQkND4eHhARMTE65L7Ba5hUIgEMDW1ha2trbP/FtZWRksLCwwZswYjBo1Sl6HIxxra2tDTU0Nrly5giNHjuDu3bsAgF27dmH+/PkwMDDguMLu42/cuHGjonZub2+Pjo4OZGRkoKSkBHp6ejA3N4eurq6iDkmURCwWQ1NTEx0dHbh16xYqKysxduxYREVF9aqb6hdReJfsvHnzcPDgQVhYWGD79u2IiIjA/fv3IRaLFX1ookAGBga4ffs2oqOjUVxcDEdHRwQFBfWaYdf/otSVd1evXsWGDRtQUlKCjRs3QigUQktLS+V6X8irZWVlYfPmzSgrK8O8efMwduxYvPfee7CwsOj9v09Gyerr65mYmBhm3LhxTEBAAHPv3j1ll0B6qL29nVm0aBFjZWXFREREMG1tbUxjYyPXZcmN0hcZ9evXD0FBQRCJRDA1NcWUKVOwc+dOPHz4UNmlkG7au3cvampqsH79eoSGhkJHRwdGRkZclyU3nD64oKqqCmfOnEFsbCx0dHQQFhaG2bNnA1DO831I133zzTf4/fff4ebmBnd3dxgaGnJdktxx/jQPsViM27dvIyUlBampqZg0aRLWrl0La2trLssiLxAeHo78/HwIhUK4uLj02nmIV+E8FJ0qKyuRlJSE8+fPQ1tbG3PmzIGXl1efGM3o7SQSCSIjI5GbmwsPDw+4urr22UAAKhSKTgUFBThx4gSKioowdOhQBAUFYdKkSVyXpbba2toQGxuLtLQ0eHt7w8PDo09eMv2byoUCePKLOHr0KI4dOwYbGxu4ublh6tSpGDBgANelqZXm5mYkJycjISEBnp6e8Pf3V4uJV5UMRaeKigrs2LEDx48fx9KlSzFt2jSYmZnB0NAQAwYMgLGxMd2MK0hzczN+/vlnxMXFwc3NDaGhoRAIBFyXpRQqHQrgySiUUChEamoqAMDU1BSurq4ICQnBu+++y3F1fVNrayuOHz+OhIQEuLi4YPny5dDQUJ9HhKn8/5TH4yExMRFvvfUWtLS00NDQgEePHkFHR4fr0vqkx48f48iRI0hMTIRQKFS7QAC94EzRKT09HWlpaRCLxThz5gzKy8vx6aefYtu2bVyX1qfs3r0bubm5cHd3R2BgIDQ11W9xZq/5Cpg7dy4AICQkBIWFhdi6dSvi4+NhZ2eHCxcucFxd37Blyxb89ttv8PX1hb+/v1oGAuhFZwoAuHPnDgYPHgx9fX20trbi5s2bSElJQWZmJhwcHLBu3Tro6elxXWavtHHjRty6dQteXl5wcXHp1esheqpXheJFqqqqkJ+fj8TERNy9exeffPIJvL29uS6rV9m8eTMKCwvh4+ODuXPn9qk+pu7o9aHodOnSJRw/fhy3b9/G+PHjERgY+HSlH/VRvVh7ezsiIiJw4cIF+Pn5wdHRUe0DAfShUABAU1MTkpOTkZOTg4cPH8Le3h4+Pj59uiWhu1paWhAbG4uMjAz4+flBKBT2+hVz8tKnQtHp+vXr2L17N6qqqjBr1iw4Ojpi/PjxdLb4f42Njfjpp5+QnJwMHx8fzJ8/X2VemKIK+mQogCeXTImJiYiPj4e2tjbc3d1hZ2cHc3NzrkvjVGNjI06cOIGkpCR4enoiODgYfD6f67JUSp8NRaeqqiqEh4cjKSkJISEhWLx4MczMzNSy+/aff/5BXFwcUlJS4OHhgcWLF3Ndkkrq86HoVFBQgC1btqCiogJr1qzB7Nmze92T63qivb0d+/fvR1ZWFjw9PbFo0SKuS1Jdil3tqlra2tqYmJgYZuDAgUxwcDDz4MEDrktSmm3btjFz5sxhoqKiGKlUynU5Kq3XzGjLg46ODhYuXIiLFy9CX18frq6uCA8PR319PdelKdSGDRvw66+/wt/fHyEhITTg8Apqc/nE1tDQgNOnTyM6OhpaWlr47LPP8P7773NdltytX78eBQUFCAgIoGFXGaltKIAni5n+/PNPiEQinDt3DsOHD8eqVatgY2PDdWk9JpFIsHnzZly+fBmBgYFwdnbu8yvm5EWtQ9GptrYWIpEIGRkZaG1thZeXFwICArguq9taW1sRERGBnJwcBAUFwdXVVa17mbqKQvEvBQUFSE1NRXFxMYYMGQJ/f39MnjyZ67K6pKmpCYcOHYJIJMKCBQvg6+urFktI5YlC8QKxsbE4fPgwrKys4OzsDDs7u17xnoW6ujokJCQgOTkZ3t7eWLRokdq2f/cEheIl7t+/j127duHevXuYOnXq01YRVW2HqK+vR0JCAk6ePAmhUIiwsDCuS+q1KBSvIBKJsG7dOgwcOBBhYWGYNWsWDAwMVGpYs6WlBYcOHUJaWhrc3Nzw4Ycfcl1Sr0ahkEFTUxMiIyORlpaGyZMnY8WKFRg1apRK9AyJxWJ8++23yM7OhqenJ5YtW8Z1Sb2f8ucLe68bN24wnp6ejJmZGRMTE8N1OYxEImE2bNjAODg4MIcOHeK6nD6DzhRdVF9fjzNnziAqKgra2trYtGkTZyNUa9euxfXr1xEUFAQvLy+1eS6TolEoukEqlaKoqAg7duxAZmYmZsyYgejoaPTr108pxy8vL0dkZCRKSkoQFBQEe3t7tez6VRS16n2SlytXruDrr7/GgwcP4ODggIaGBgQGBiIpKUnhb4AVi8VYs2YNwsPDUVJSgqampqc/o+83+aAzRReJRCJ8//33sLGxgZOTE0aMGIHa2lqcOnUKly5dgq2tLZYsWYLRo0fL/dgtLS3Yt28fTp8+DRcXF/D5fJw7dw42Njb44IMPMHLkSFqPLgcKfTtqX5OXl4ejR4+if//++PLLLzFhwgT0798flpaWGDduHAQCAe7cuYMLFy6goaEBVlZWcnvkTl1dHQ4ePIjc3FwsXrwYy5cvx+jRo8Hj8XDx4kUUFhZiyJAhGDRokFyOp84oFDJqampCbGws6urqsGnTJgwePPiZn+vp6WHixIl47bXXUFRUhLNnz6K0tBTGxsbPbdtV1dXVOHr0KDIyMjBv3jwsWLAAPB4Purq6mDBhAszNzZGamoqbN2/CycmJZrF7iEIho9zcXOTn52P69OmYMWPGS7czMzODnZ0ddHV1kZWVhevXrwMATExMutWlWlNTg7i4OKSnp8Pb2xuhoaHPXR4NHz4cfD4fOTk5MDQ0hK2tbZePQ/6HbrRlVFBQAIFAgJkzZ75yW4FAAF9fXyQkJMDKygqff/45oqKiUFxc3KUb8cbGRvz4449IT0+Hl5cXlixZ8tJt7ezsMHPmTMTHx8u8f/JiFAoZlZaWQiqVYtiwYTJ/RkdHB1u2bEFcXBzy8vKwcuVKpKWloaGh4ZWfffToESIjI5GdnQ0/P7//DAQAWFhY4M0330RZWRmqq6tlrpE8j0Iho7a2NjAM063r9SlTpiAzMxPe3t5YsWIFli1bhps3b750+46ODuzZswf5+flYuHAhQkJCZDqOrq4uzMzMUFpa2uUayf9QKGRkbW0NPp+PsrKybu8jNDQU2dnZGDBgAJYsWYLt27ejpaXlmW0kEgm2bt36dMWcn5+fzPvX0tKCsbExpFJpt2skFAqZWVtbo7q6Grm5ud3eB5/Px+jRo7Fz506sW7cOWVlZmD59On755RcATybmNm3ahGvXriE0NLTLI0mNjY3466+/YGlp2e0aCUBjdzIKDg7G/fv3kZ2djQULFnR7PzweDwYGBnB1dcWYMWOQmpqKU6dOwdzcHH/88QfKysrwxRdfYNq0aV3et46ODoYOHUpzFT0k04x2bW0tjh07hlOnTqlEuzQXtLS0cPXqVVRUVODtt9+Gvr5+j9oq+Hw+NDQ0UFZWhqKiIgwbNgw8Hg8VFRWYOHEiDAwMIJFIZNpX5xDtgwcPUFpaipkzZyq83UTVicVijBs3DqtXr+7yPJFMoWhqasLp06eRl5entqFgGAY6OjrQ1NREa2srpFJpj9opOtsxBAIBtLW10djYiL1792L16tXQ1NTE48ePu7w/gUAALS0tPHz4UO1bPdrb2zFy5EjMnz8fpqamXfos9T6pCIZhwOfzIZFI1P4Pmmt0o60iOucuZJnDIIpFoSCEhUJBCAuFghAWCgUhLBQKQlgoFISwUCgIYaFQEMJCoSCEhUJBCAuFghAWCoUKod5M1UChUBE8Hg8aGhrUIasCKBRy1t1vexMTE3z11VcwMTFR6nHJ82g9hQIcPnwYYWFhEAgEMn/zMwyDlpYWGBoadukzHR0diIyMRHBwcE9KJv9Ca7QVoLS0FBYWFkhISEBzc7NMn+HxeE8XGcn6PWVkZAQ/P78ePWGEPI9CoQAMw8DS0lIpL3OxtLSkSyc5o3sKBeDxeDI/dKCnaPmq/FEoCGGhUBDCQqEghIVCQQgLhYIQFgoFISwUCkJYKBSEsFAoCGGhUBDCQqEghIVCoQCdj9VXBj6fTw2BckZdsgrA4/FQWVmJ4uJimVvHu8PIyAiVlZXUEChnFAoFGDRoEEpKSjB58mSF/sEyDAOxWEzvuJMzWnlHCAvdUxDCQqEghIVCQQgLhYIQFgoFISwUCkJYKBSEsFAoCGGhUBDCQqEghIVCQQgLhYIQFgoFISwUCkJYKBSEsFAoCGGhUBDC8n9Ehux4qXuunwAAAABJRU5ErkJggg==)
A weight of 10 N is hanged by two ropes as shown in fig., the tensions
and
are
![](data:image/png;base64,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)
maths-General
maths-
If f(x), f (x), j (x) are continuous on [a, b] and differentiable on (a, b)
(a, b) then ![open vertical bar table row cell f left parenthesis a right parenthesis blank ϕ left parenthesis a right parenthesis blank phi left parenthesis a right parenthesis end cell row cell f left parenthesis b right parenthesis blank ϕ left parenthesis b right parenthesis blank phi left parenthesis b right parenthesis end cell row cell f to the power of ´ end exponent left parenthesis c right parenthesis blank ϕ to the power of ´ end exponent left parenthesis c right parenthesis blank phi to the power of ´ end exponent left parenthesis c right parenthesis end cell end table close vertical bar equals](data:image/png;base64,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)
If f(x), f (x), j (x) are continuous on [a, b] and differentiable on (a, b)
(a, b) then ![open vertical bar table row cell f left parenthesis a right parenthesis blank ϕ left parenthesis a right parenthesis blank phi left parenthesis a right parenthesis end cell row cell f left parenthesis b right parenthesis blank ϕ left parenthesis b right parenthesis blank phi left parenthesis b right parenthesis end cell row cell f to the power of ´ end exponent left parenthesis c right parenthesis blank ϕ to the power of ´ end exponent left parenthesis c right parenthesis blank phi to the power of ´ end exponent left parenthesis c right parenthesis end cell end table close vertical bar equals](data:image/png;base64,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)
maths-General
maths-
Statement - I : An equation of a common tangent to the parabola
ellipse ![2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text is end text y equals 2 x plus 2 square root of 3](data:image/png;base64,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)
Statement - II : If the line
(m
0 ) is a common tangent to the parabola ![y to the power of 2 end exponent equals 16 square root of 3 x text and the ellipse end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then end text m text satisfies end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24](data:image/png;base64,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)
Statement - I : An equation of a common tangent to the parabola
ellipse ![2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 text is end text y equals 2 x plus 2 square root of 3](data:image/png;base64,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)
Statement - II : If the line
(m
0 ) is a common tangent to the parabola ![y to the power of 2 end exponent equals 16 square root of 3 x text and the ellipse end text 2 x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 blank text then end text m text satisfies end text m to the power of 4 end exponent plus 2 m to the power of 2 end exponent equals 24](data:image/png;base64,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)
maths-General
chemistry-
Equilibrium constant of some reactions are given as under
Equilibrium constant of some reactions are given as under
chemistry-General
physics-
Two concentric shells of masses
and
are having radii
and
. Which of the following is the correct expression for the gravitational field at a distance r :–
![](data:image/png;base64,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)
Two concentric shells of masses
and
are having radii
and
. Which of the following is the correct expression for the gravitational field at a distance r :–
![](data:image/png;base64,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)
physics-General
physics-
Potential energy and kinetic energy of a two-particle system are shown by KE and PE. respectively in figure. This system is bound at :
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)
Potential energy and kinetic energy of a two-particle system are shown by KE and PE. respectively in figure. This system is bound at :
![](data:image/png;base64,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)
physics-General
physics-
Find the distance between centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of Earth
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)
Find the distance between centre of gravity and centre of mass of a two-particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of Earth
![](data:image/png;base64,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)
physics-General
physics-
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The net force of the friction on the rear wheel due to the road is :
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)
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The net force of the friction on the rear wheel due to the road is :
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1YVi12u7iaZ1oV2XcrjeCgQAJatUYsfnB5Tq/XExkTg1wqQyaVIlfIkUok+c4X+Q4Y6emMGD6EEaNGc/REIGPGjePrLz5j9fJltGvXDrcaNcpkh9Fo5NDBAxw4sP+BoGaBwqjPzePl/mNY/I8jfd7+iTU7f2H1rHE0jNvIW8NeYsklLWAgPeIil8NTqeinKZI4UsPdGdl/5g4h8KTw1H8lTSYTf/z+O4cPHSrzk7yHhwd2trZ8/N47nD97hsXLVrB242Zq1a7zQN+mzZrTqXMXNm/cSHpaWlWbj4uzWbRSqli0MjMyuHL5Eh07dS6yfe/Bw/mBynbY2yuQy2UYDAZUKk2Bm7u9vYKabm4AiMUS3prxLn8cD8TT05MJY8cQFnKFTp06l9mD8uI///Dztm3o9foqu86niuyzzH/3R656vcOGXfOZMqIXbQJa03HQG8zZvIiR9udYPGsLMYWUKoeM6DBCbyagLkLB9GlR3LhyiSshN7mjudfBps0b/LTkLTor/n1EDpkxYYTeSEBdsVBGAYFK8VSLlsFgYPfuXZw+farMx/j4+LJ5/ToW/vQjo55/gaPHg+g/cFCJe1aTpk5Dp9Oyfu2aqjC7EHZiMXK5vMqXB0+dOonJZKJDEaJlMpm4dDkEhUyOVCrFXqHAXqFArVaj0WrIUqlJTU9nUP++Dxxbq1Ztlq1aw6at27l88SJTXn8VHx8fatSsWSa7IiLC2bB+HSqVqtLX+LShPb6JPRGO9Jn0Kv7/DolTdmPynHnMnNwFRf5X1Zh2kh+GtaFN++7069aSNl3HsfayOSOLIfYgM0e0pkWztvTu8ywDn+1Mu6ZteOmn02QCur1v0LLxGLalAmjZP9mPbtN+YM7INrRu151+3VvSpss41oVoH+InICDwFIuWwWBg544dhIWGlqm/RCLBvWZNPn7/HVRqFdt37+GrmbNQKB541HyA9h060rxFS9asXlktBSBdXF1JrmJHjOCgQKRSKc2aN3+g7UTQSYwmE2I7O+QyGRKptFBlYo1Wi6WlJf5NindZ79SlC5u378RgMDBt0uvERUfRMiCgTLbduXOHjRvWF5vR/r9JHuEXr5Bu7U/rNkXFuFni2WkEz3VpiH3+rzrv8jFutp3D4bBoLv85j565v/Hj/ANkGFPY//W7rI1rzZdHwrgVF82NK3/y40BbTi38if1JRjDo0en05JnM06k8vZboXzdyqe0PHAqN5OJv39NN/xs/zttP+sP7EAQEnk7RuitYN2/eKFN/T89axETe5qvPP6Vd+w4c/O0P2rRtV+bziUQiJk+dTlZmJls2bayo2cXi4uJa5TOtk4GBtG3foch8hyeCT6KQSpFKJNjb26NUOqDV6tBoNajUGtIzMujaqUOJ45tMJj7/5CN0Oh0DBw1m966dLFu0kO7du2Nra1uqfWlpaYJwFcJAVqYKxA44FJ145AGsGr7Ah2/3pr7CBkWjITzfyx19VDgxRjEtJsxlyaIvGNZYiRU22Dg25pm+rXA0pJGSVvS6n4XXKN6f3gsvezscmoxgZDcXdNG3iXs4ZeUEBICnULTy8vLKJVg+Pr6sX7OSX/f8wvsffczajZtxcnIu93l7PvMMDRo2YuXypVW+J+Ps4kJKStXtaSUmJBAefotOnR90db92/SYarRaJVIJMZnZxt7S0RKVSoVKpUalUZGdn07N71xLP8cuunRw+eAA//6b8uGARh347irW1Na9PGE+DBg1wd/co1c709HRBuAqwRCaXQrYGbRlFwsLNE8+CZxIRdmJbyNGTY5RSu2UAblE/8+2MVxk39Bn6d/Kj1YTtJJlMFJd206KGJx73jSeVShDl5SFolsDD5KkSrfIIloWFBZ6ennz03gx0Oh3bd+/hjclTK5Qf8O54k6dOI+nOHXbv3FGhMYqjqmdaJ4ODAOjYqdMDbfvzg4nFdmIcHBxQKpVk67JRa8xLg1lqFU39m5T4OcXGxvDZxx9ia2vLvIWLsLa2xt3Dg207d/PimLG8OWUS8fGxNGzYsFRbBeG6ixX1GjdCknudkNCiqlIbST0yh3e/2MDfGfmqY2lZdPYA4x0OvtOf4TNWcSpNSr0OQxg86TvWzBmOW0lff4vixivvtQgIVJynRrTy8vLYsWM7t27dLLWvlZUVttbWfPHJR7QMaMXB3/6gVes2lbZhwKDBeNaqzdLFC8nLq7rnTxdXF1JSUqrMHTw4KBBnZ2caNvIp9H5ySiopaWn3goklUuzsbApyDKo1GjIzsxgycECxYxuNRt55czpqtZoPP/mUBg3uCZO1tTXvf/Qxq9auZ+O6tfz5+280KUMCXUG4zCi6DqanYzQHNh4h+d9CkXeTHUuX8cufEZjEJf+sjSmH2PJrPH5v7+LXtT/x2TuTeO1/ffHOSyXLaEQIlxN4nHkqROvuHlb4rVul9rW1tSUtNYWF8+fx3NBhrN+8tVDcVWWwsrLi9UmTiY6K4uD+fVUyJphnWiaTibQqcKk3mUwEBwXSoWOnBzwid/+6F7GdnXmWZW+Pg4M9OfpcswOGSk2WWk3tWp5IpcWnXVq9cgWnT52kU+cujBk7vsg+vXo/y6atPxMcFMi61avwb9q0VLvvCldZU0U9lTj0YfqM7uT9+i6vfLieU9EaDBjRxgSxdvoEfvrHiYHvvkHLUrYMLaztsLMykXLrKvF6QBtNzImFvD//BDqTnuxsYeok8PjyxIuWyWTi0MEDZZphicVirl65zPatW5j21tvMW7CoTE4B5WH4yFG4uLiwZNGCKsvw4OJqzopRFbFatyMiSExIoGPnwq7uer2eqOjYgmBihVyOJD+YWHU3m3taGiOGPFfs2NevhTHn25ko7O35Yd78EpcQW7dpy8+79hAbE8P3s2bi7+9fqu3p6en8vG0rOTlFLY/9F7Ck7otLWf/dAKz/+Jz/tffGp35d/NuNYM55N15YuJVvB7qV/qNWDmTy9A7o90yka6O6NPTpRM/pv1HjtUl0sEvgWmjVxxsKCFQVT3wRyMDAExw/dqzUflKZjKOHDxEWFsrs7+cyYtToarNp2ZJFzJ75DWvWb6RHr2cqPV7IlSsM6PMMG7Zso0vXbpUaa+P6dXz60QcEnj5LrVq1C97f+cuvXAoJxd3NFU8PD+rUroVUKiMuLo74hARi4uLR5+j55P13ihxXr9fz3IC+hIWGsmDxUgY9N6RM9tyOiODF0SNRqbL45IuvuHGj9P1I7wYNGDlyVIX3H58KjBru3LxGVGoOVo51adSwJtJyfhzZd65x9XYGVi4NqV3LEWXlqugICDwUnuhf/dWrV8smWFIpB/bu4caN6yxZtrJaBQvghZdeRqFQsGjh/CqZbbnkJ82tCmeM4KBAatepU0iwTCYTFy+HoJDJzMHE9vYoCoKJtWSp1KSlpTGwX59ix/1p7g+EhYYyaPBzZRYsgHr167Nzz15cXd349KMP8PX1LfWYWzdv8vvvv5X5HE8lFlLcGgXQpkN7WvqUX7AA7Nx8CGjXjmZegmAJPDk8saKVnJzM/n17S+1nZ2fHmZMniYyIwGg0smD+PDLSqzccUi6XM2bceC6cP8/ZM6crPZ6jk3nPrbIBxkajkVMngx9I3RQYdKpQMLFUIsVovBtMrEGj1WJhaUEz/6IT4Z47e4alixfiVqMGX8+aXW67arq7s2XHLpydnJn11Zdl8io8d/YsISEh5T6XgIDAk80TKVp6vZ6dO7aTm5tbYj8bGxsiI8I5fSqYBYuXsnLtem7euM7/Rg2vljyB9zN+wqvY2YlZsnBBpceytrbG0dGp0ntaoVdDyMzIeEC0jgUHFwQTKx2UODjYo9PdDSZWk56RTueORQcTq9Vq3po2FYC58xZUuOaXq6sr6zZtJidHz/Ili6hdu3apx+zft5ekash+LyDw0DEms+/DgQzu37fI1/AvjlD+XDtG7uz7iAMfj+LTXwvfO3S3DrJgxhieHzqMcdNmsetyRqHIhZLaDTfXMW1wP16Zd/rBKgJ5l1jxyiAmrwkrt7Vl5YkUrYMHD5CamlpiH0tLS3Kydezf+ysff/YF/QYMpHuPnqxcu55bN2/yv1HDSUsreYzK4OjoxPMvvMDxY38RcuVypcdzcXWp9PJgcGAgAO07dix479qNm2g194KJxRJxfjCx2vxSq9DpsunVo+i9tK8+/4zYmGjGvTKh2LpcZaVBw0asWLOOqMhIDu3fV7AsWhx3wxz+u44ZAk8POSTfukiIqja9Bj/HwH+9BrSrU86KvQbu/DWT199by4frT3Ir+d5vxBC9lTdHTmTDTUcCOgfgErOdD0a+wOJL2aW2ZwMmTTzXLl7g6Px3mRv0rzAUg4rYq/9wLb76clI+cZWLQ0NDuVrKspBIJELpYM/smd8wZux4Jrw2saCta7furF6/kQljx/D8iGFs2b6zQhkwysKrE99g4/p1LFm0kCXLV1ZqLBcXV5IqOdMKDgrEt3HjQtd74NARZDJzMLHSQYnSwYHs7Oz88iNqsrJU+DdpjJWl5QPj/XbkMNu3bcHbuwHvf/hxpWy7S/sOHflh3nzenDqZGjVrUqde/RLd3NPT0vjrz6M82+fB5L0CAk8aFjXbMmrCeFwrMZ0wZoSwZ/7nfLc+hDyJJRaFfrrZnFk+j6M2o1i56Qe6K4BJQ6gzsj/LF+zl+ZWDuFFCu/t3wxkMgB1yuyg2fTiLbvtm07Vqi6qXyBM101Kr1Rw6eKDUfg28G/DdrJn06t2bz7/6+oF4pM5durJm/SYiIyN5fsTwKk2RdD/uHh4MHT6Cg/v3lSmGrCRcXCuXFSMnJ4ezZ84UWhpMTkkhOSUVmSQ/ZZNUgq2tLSqVGk3+flZGVhZDnxv4wHgpKcl88M4MLC0tmbdwEXbiMibEKwPPDR3GO+9/yC+7doLJVKqX4Llz54iKiqyy8ws8puQkcnrbfkL/q3mjjEmcXDuHH777tojXHDaeNN/H9Ed/5Ntj9jy/bC+fdpHQWXLf/S8nlMCTCTh3HUiHu7nAbRsyqK8f2af+5GxWye3HT+vM74kc6fvWJBonbuKzmb+T/hBD+54Y0TLHYx1Ep9OV2M/b25vZM7+mQcNGLFi8FMsiZggAHTt3Zu36jURFRTJ6+LBqKbII8PqkKQAsX7q4UuO4uLpWSlz/ufA32dk6Ot6Xb3D33gOIxWLs7OxQOtjjYG9PTk4OGo15LytLpaKWhzsyaeGs4iaTiQ/enUFaWipvzngX/6bNKmxXcUyeOo0Ro0Yz/8cfaNCgQan99+3dKywTPtUYubN5Ci9/c5iYp1m08jSkJd0h6c59r5QscgCMqVzcv4EN69cV8drAwUvmMtO2z/7EX0fX8GbvWtgAhR7ZDTFEx4Nn3br3LbNZ4lLbE7E2hqi4qBLbY6MSC9619p3CrKnNSd3+Md/+nvzQsnk9MaJ1NSSE69evldjH0dGJPbt2otFqWLxsORJJUSUc7tGhU2fWbdxMbEwMo4cNIenOnao0GYD6Xl70GzCQ3Tt3EB8XV+FxnJ1dyEhPr/CNOTgoEEtLy4Ls9Xq9nqioaORSqbkysUxxXzCxCrXaXDOrqGDi7du28Mdvv9EyIIA3Jk+p8DWVhEgk4utZs2nWvAVzZn1D/fpeJfbPyMjgz6NHq8WWJxJdEuFh14nLLOb7Ulq7QU38jauE3kqiuMfE7OTbhCdqSr5ZlXYefRox1688UISyqHMYDCae6KDSMpB7eiZ9AprRpuW9V7u+MzmnB6x8mbQrhMuh14t4hbD1DfPDnYVMUXzF6VwN2hwQSyWFxEwkFmOHDq2q5Had9v69KmuavP49U1uls/vTrziS9HBk64nY01KpVBw+fKjEPlZWVqizMjl96iSzv59Lg4aNyjR2+w4dWb95C2NffIHRI4aydfuuMpeJLyuTpkzj4P59rFy+lM+/+qZCY7jmZ8VITUmhprt7uY8PDgykRcsApPmzpn2HjhRUJnZwsEdWUJlYbZ5paTXYy+V4eBQu3hgdFcWXn32KWCzhx/mLiixtUlXY2cHgfwwAACAASURBVNmxbOVqBvbtzaEDe2nXoRPpJYQrnD9/Dh9fX+rWrVttNj1K1DvH0+EzEV+eW82Q/Ocx/YmPePb1q4zau5s3PPYzvd1MTC/0J2HzSs6l5IFdTdqPm83cD5/FPefXYtv92/jxfm8PLMkj5tBM3vtsLafjszFhgax+byZ9/wOvt3PGQrebya3noO3mSci+IJJFPkze8wfvNr/ve6Ar/jxzP3wWd0tzEcrf16zmm42niNWab3YiOw86TV3MoonxfFToHI14eUJNfll1mpxcEVP9jtN//jnm9bd7BH+F6sW6zYf8snAYyvsUQ2Qlw8kWMCZzbvvPnE0uKgepJa7tRjOidSn789a22FhAtqGwwJgMRoxYYmFjU3K7xb9Wrmx8eeXbdzk2+Cu+/KInLX+sHv+A+3nsZ1omk4mDBw+QnZ1dYr969eqxZNEC+g8cxKjn/1euc7Rt154NW7aSmJDAqOFDSExIqIzJD+Dn70/Xbt3ZunkzqakpFRrDxcUsWhWJ1VKr1Vz850JB6qa7lYnlctl9lYnl9yoTZ6lITU2jf99nC41jMBh4a9oUtFotn37xJXXr1avQtZSHGjVrsnTlak4GBZGcmFjscu9d9u399aldJjTm5ZKtyyXv/umGQY9Ol02eEcCAXhPD/tXH8f70MOdC/+bn9/yJWjmdT36OxVhC+5q3PmBHnJGckIVMnb4ZTe+57P0ngmsXD/JpqwgWTnyPPQlGwECOJpLAS7X5KvA6J3f9yEi/fz+4lGJHfhHKj1bHEvDNH1yMSvxXEcq8f51jHi+O/YQ5LzfBWtGZN9esYlK7pzQa2kaOq7snHh73Xu5uDtgCGFM4vWU+C3/6qYjXfH4+U4YwHgtnnBxFZKWmFJoh61NTUYmUOLu6lNiudH5QlKwavsLM9zqRvf9zvvw1udpnw4+9aEVFRXKzlNQ+3t4NmP3N13h61uLbOT884HhRFlq3acvGLT+TnJTEqOFDSIiPr6jJRTJp6jSys3WsXb2qQse7uJrdvysSq3X29CkMBkOBE0Zg8CkMRiMSOzH2cgXS+yoTq9RqNDodIgsRLZsXTmS7fOli/j5/ju49e/H8Cy9W6DoqQlpaGra2tqxbuxpvr5KXCTMzMzlx4vhDsuxxxJL6L83hi+F+uNh70PbVubzZw0DwrgPEGYpv72Y4wS8Hwjm/dQtX3cfw5efD8HeVYOfSnFFfzqBn3lF+3h+bfw4rGg1+hWdq2+Me0JI6RU62S7DDZC5COXvFEj4e0RgHKwoXoUw3PnCOBp6NaVpLjsjSCa82bWng9NjfuqoeK1+m7r3JtfDbRbxusnNK6UH5WPvi72NN5KWL3Kv1qeXKP6EYavvRxLlJie2N/YpyE7Sk/pjZvNctjyNfz+Z4ZvXK1mP9lzeZTJw4XvINSCqV8ufvR8jMzGDBkmUoFIoS+5dEQOvWbNjyMynJyYwaPqRSe1D/pk3bdgS0as2GtWtQqVTlPr4yM63goEDs7MQ0b9ESgONBJ1HIpIjFYuwd7LG3ty+oTKxWa0jLSKdzh/aFxrgaEsKP389BqXTkux9+rNCDQXnRaDR88O4MXhs/Fnt7B7p2787c77+jbt2SZ3hnTp+ukuTCTyQiOX4BfhSkgbZQ4u9XF2PkDcLzim9vUsdI5I1L3LiRSG7UOsYHNKGlf/6r43v8ocolJuKuh6YFLu4eJe8tlGiHuQhlS7codn3zNpNeeq6IIpRlOIdA+bFwptfwZ5AEzeeLTRdJ12uIPDiLb39Jo8mwETS1K7l9aLNiZriWdRk18xN6WkYTnfUfFq2oqEiio6NL7OPh4cFvRw7z2uuTaBkQUOlzBrRqxaZt20lLTWXU8CHExcWWflAZEIlETJ46jaysLDZvXF/u4+0dHLCysiIpqfw34+CgQNq2a4eNjQ3XbtxEo9EgleRnchebKxPfnWWpVCp0Wh29e/UoOD47O5s3p04mLy+Pb7//oWB/rTq5+M8F+vXuybYtmxk8ZCiHj/7FgkVL0WfruRZ2FRub4peHTCYThw8frrIs+48XhZ0RTAYTxvvfEFlhXeSdXmTeWC+2HRAZyTOCTdNxzJ6/gLkFryUsXbeJuS83LuhqaVmKnJRkR34RyiHPvcXakylI63cosghlqecQqAAWuAz8ku9ecePsp31o1aAh3V7biv6Zr/l+oi9WpbT7lPAnsaw1ii8+61+pGLOy8Nh+K0wmE8f++qvEPjVr1mTZ4oXUrVePN9+eUWXnbtEygE3btvPS86MYNXQIW3fuKpRgtqJ079kLH19fVq9YztjxE7CzK/tGsoWFBc4u5c+KkZKSzLWwMIYOHwnAgcPmYGI7O1uzm7vSnuzsbLPHoEpNpkqFXxPfQsHEP3z3LTdvXGfEqNH06duvXOcvLwaDgSULFzBv7vfIZLIHMsa//9HHfPDuDObOX0hYWPGpYiIjb3PtWhi+vo2L7fOkYWVlgcikJVtrxOweZkSVmEChB1tjBreux2J4xhvL/P+HXo3Cov5IvK2Lbw+LtqT+yJbUMzhgPKlC1r4nHe+G3hliuXA8CrFSVnZjS7CjfsYhPvw1ngT/9ziyZxpe5g4kbdxUchHK6p/cPzosPBi/I4aiK9BVFAn9ltzggV+shRs9PtlH0GvXuBqRiY27D41r22NZxnar5h/xW+RHRV0E7sNWcXZYlV5EEWd5TLly5QqxsSXPcrK1WiLCw5kzd16VBrcCNG/Rks0/7yArK5PRw4YSEx1V6TFFIhGTpkwjOTmZndt/Lvfxzs4u5Y7VOhUcDEDHTp1JSU0lKfluMLHZCcPWxqbAY1Ct0ZCRmcmwwYMKjj8ZFMiqFcvx9KzFZ19+XW6by0NMdBQjhz7H3O+/o237Dhw5euyBjPEjRo3Gz78pi+bPo1atWiWOd/z48adqtmVVuw7upksc2nqRTKORzLCdfLfyFIXdTnK5tPpjlp+6gz4njUubPmT+XzZ0Hz2ImhbFtx+z6cnIAfXpMGIIdRJ/5ouPtxGSngfZsRz/YTJjx05m5YWSYyQLU7wdHrbmIpSmlFuExesBTeEilPqi/mYW2NpYgz6LTI1QpLIqsHP1IaBdW/zvF6xytD8qHkvRys7O5o9SSk80atSIxQvn89LLYwtij6qaps2as2X7TlRqFaOGDSU6qvLC1X/gIOrUrcuyJYvJyytflGRFsmIEBwXioFTi27gxu3/dj6QgmNgBhb2CnJxcNBo1WSpzMLGne03kcvMTdWZmJjPemg7A3PkLkMvl5Tp3WTGZTOzeuYM+vXpw5fIlPvn8SzZv216ka7+lpSVffjPLXMwyPr5El/uU5GRCQ0OrxeZHgU3Aq8wY6cHVH/rR0qsOAYMXoB88imaFPgIrGvpL2DmmBU0a+PHclxepO2UJXw+5Wxyy6PY3Fs5msJsF4vbvs3DmAKyOzGCAf10aNGrN2JUJBMxYwqfPKsthbQl2OJqLULbT/8KUDt40qtewcBHKsKJTw9o3b0cT0e982KohY9ZVfUzlk05djxrU9ajacJ3HkceyCOSRw4c4d+5cse22trYkxsdxKjiY3/46jkxWjmWLChBy5QovjB6BRCJh6/ZdlXb13rp5Ex++9w4/LVzMc0PLPpd+b8bbnD1zimNBp8p8TOf2bfBv2ox5Cxbx5aw5ODs54ersTL26dfHwcCctLZ24+Dhi4+IJv32b6ZNep1YtDwDemjaFX3btZOIbk/nwk0/LfZ1lITMjg48+eI8D+/bi4+vL/EVLaORTek2tt6dPZc/uXcydv4irV4vPRenk7MzEia8/RQUjjahjr3ItPg+Xhk2p43DfM7BuN6/7v0n2V5dY8WwKIREaHL0aU9fRpmzt95OdxM3QCFINMjwb+eKpKMezdlnPk32HGyERZFi50qCxV5lqeumTrhESkYWsXjMauVVt1fEnnbuCFRmXWErPJ5vH7pesUqk4f/58iX28vLzZtWM738z+rtoFC8xxVlu370Kn0zFq+BBuR0RUaryhw0fg6ubG4oULMBrLvtThWs5M7zEx0cRER9Opcxf2H/7NHExsZ4dS6YA8P5hYrVaj1mjRaDTI5bICwTqwby+/7NqJj68vb7/7XrmvsSycDA7i2V7dObBvL6+9MYlfDxwuk2ABfPDRJ9jZ2bF104YSPUZTU1KeqtkWWCDz9KdVmxaFBasQImycGtCydfOiBanUdsDOlQYt29GutV/5BKs857Fzo2Gr9rRpXjbBArB19SGgXRtBsP7DPHaidfnSpRL3IcRiMb8fPkiz5i3o3qPnQ7OrcZMmbN2+i9ycXEYNH1KpBLi2tra8OvENbt64ztHffy/zcS6urmg0GnS6sqX9PxlkLkXSoWMnLl66jEIuRyoRo1AoUCjkqNUatFotKlUWKWlp9O9jDiZOunOHjz54D2tra35auARb26q9QeTk5PDtN1/zv5HDEYlEbN2xi48++axc53F1c2PcKxM4e+Y0rqWUMAk8cbxcDwcCAgKPL4+VaJlMJv7550KJfby8vDh08AATXpv4UGKF7se3cWO27dyFIc/A6BFDuXXrZoXH+t+LL2Hv4MDihfPL7CxwN1arrDFIwYGBeHh4Eh2XgMForkxsb29/XzCxeR9LozVvsLdq2RyTycS7b79JZkYG777/IT6+ZZv5lJWbN2/w3IC+LF+62OzK/sdftO/QsfQDi2DCa68jkUjYtXNHiS7wqampXL16taImPzmIBzHvQghLRhZTJ6K09odlh4BAJXisROv27dtkZGQU2y6RSDh8YD81a7rTt/+Ah2jZPRo28mHbzl2YjEZGDxvCzZslZ+soDqlUyrjxE7j4zwVOnQwu0zHO+TOKssRqmUwmTgYH0bFzZ44Hn0QhkyEWi3Gwt8feXoFWqzPPstRq0tLT6dTB7MyyacN6jh/7i7bt2vPKfXXIKovJZGLD2jUMePYZYmNiWLhkGfMXLcHe3r7CYyodHRn3ygTOnTldasHIwBNPlydh0VghViiQFOubUlr7w7Lj0WIymdBoNAWz75joKI4cPsTlSxdJTk7+D3xPnmweK9G6cOHvEtvr1/fi8KGDGIwG9u/bW27vu6qiQcNGbN25G5FIxOhhQ7l543qFxhk7/hXEYgmLF84vU//yZMW4cf0aKSkpNGzsj1qtQSqRoJDLEUskWFqYg4mz8rO5a7Va+jzTk4jwcL756gukUilz5y8oNc9fWUlOTmb8mBf57JOPaNmqNUeOHmPg4Aezx1eEu7Otwwf2l9gvLS2N27dvV8k5BZ4c4uPi+GHObMa//BK9e3SlVXN/GtStRZOGXnzwzgzem/E2Z06fZuIr4xjUrw+tm/vj41WX7p07MOZ/o/lu1kx+P3Kk2mruCZSfx+ZZSK1Wc/1a8aVHpFIphw/sw8bGBoPBwJtTJvH9t7OYMHEio57/X6llSKqaBg0asm3nL4weMZRRw4aydcfOMjsR3MVBqeTFMWNYuXwZly9dpGmz5iX2d3Et+/JgcFAQAMnpmcjvBhMrHXBw+FcwcVYWfo3Ndr81bQr67Gxm/bQAT8+SY6DKytHff+Pdt99CrVbxyedfMn7Cq1XqyXd3trV44QK69exFampqsX3/uXCB+vXrV9m5BR4+Op2W82fPERcXS2xMNLa2dnTv2YuY6CjOnjnN5UuXuJOYiMLenoT4uBKrAly69A/ht26Rnlb4O6PX67kdEcHtiAhOHD8GQMuAAHbvLb0ArUD189iI1sWL/5Q4Lffy8mL+3O8Z98oEPvj4U/bs3smKpUv58rNP+enHuYwZO46Xx43H2bnkZaKqxMvbm8O//0lGRjouLq4YDIZyz04mvPY669asZsnCBSxbtabEvlKpFDs7cZlmWsFBgfg28ScjM4uarq7IpFKkEgm2NjYkJaUUCiZ+c+obLF4wn0sX/6FP334MHT6iXNdQFDqdlm++/ILNGzfg4+tbIVEvKxNee521q1dxOjiYBj4+xfa7fv2aOYWV9OE+4AgUJisri8SEBBydHHFwUBIWGkpcXCzxcXGoVSpcXF2pU7cuG9au4WT+0nmLFi0RSyR4e3tz8mQwF/I9jFu1bsPqVSto3LgJBoOBv8+bQ2Us4uNKdb7Jzc3FxdUVeRnylfYbMOiB97RazUN/WBZ4TETLZDJx8Z9/im23sbHh3JnTALz08jhsbW0Z9fwLjBj1PH/+8TvLlixm4U/zWLF0CSNGjebViW9Q5yHVVHJydsapiHT9ZcWtRg2GjRjJti2buXnzBg0aFJ+pWSQS4VIGt/e8vDxOnwzmmUFDC4KJnZyc7gsm1hQEE3u41+R2+C3mz5uLs7Mzs+Z8X2kHlyuXLzF9yiQiwsN57Y1JzHj3/Sr3QLwfpaMjI0f/j3VrVtGpa1fuFFPM02g0EhYWSqtWravNlv8iJpOJlORkLK0ssbd34NCB/USEhwNgaWWFZ61auLq4smzJIv658DdZWVk0bd6crMxMunXvQejVq5zN/337N23KlcuXqVW7NgqFgqzMTAA0Wg3Hj/2Fb+MmiCX3st/odFrycnOpXbs2t/I9ei0sLHB1cyu1xFDbdh3oN2AAN2/cYPfOHSX27fevPfSUlGS6d+rA0OEjmfbWWzg5VX8dKQEzj4VoxcbGlOiA4efnx3tvv0nLgADq31eawsLCgl69n6VX72e58PffrFi6mE0b1rN54wb69h/AxDcm0ax5i2q03Ej6xe2sWL6V38+EEp2ajaXMjfrNutB//HTG96pDWbILvj5pCj9v3cKyxYuY+9OCEvt6eHqiLiVL/KWLF9FlZ2NtI0YhkyGXmasTS8QS0tPTUatVaNRqUtLSmDhuDK9PGIvRaGTOjz/h6OhUjusvjMFgYPnSxcyd8x2ubm5s3bGrwp6B5WX4yJGsW7OqUM7EoogIjxBEqxjy8vJQZWUV/F8sFiOysGDXju0kJiYQGxNDbm4u1tbWfPDxp0yf8gaJCQnExcYiFkvIzctlzMvj+O3IYSLCzQLi6OhIWloardu2Iyszk6z88dUqFZG3bxPfKP6BWnn2Dg5MfGMSa1atLHjPkJvH9LdnMGDQYA4fOICfX1MMRgORt28zfMQoXhjzMtdCQ3F0dqJGjZqcOXWKF0bfWzGwtrFBqVSi1+tRq1QYDAa2bt7I1s0bH/gcLC0tkcvlWNvYkJGejpd3gweys2zdvBmVSsX6tavZvXM7U6a9ybgJr5boxSpQNTwWonXl8pUS29NSU1Cr1QVJX4uiZUAAy1atISI8nFUrlrFz+88c3L+P9h06MnHSZLp2617FLvJ5RO2cwkvvHUTffCRjP5pCizoOGFPCCNq5gsWvDOLSnL0sGVWn1LxddevVY+mKVdSoWROTyVSindt27C7VspNBgTRo0hTx3ZRNSgdkcnlBZeIstQaVRoNcJmXT+rVEhIfzwktj6NGzVzk/g3vExcXy1tQpnD1zmsFDhvLVzG8r5RlYXpr4+dOwkQ/nzp7Bp3GTgpvjv4mMvF2hZdwnFZVKRXRUFLGxMRgNBnr1fpbA48dISIgnMjKSuNhYLEQWTJk2ne+/+5ajf9yLG1Q6OtKv/0C2bNqASCTCaDTi6upKUlISRqORM6dOFSzB5eTkYGdnR1LSHdLTChcjdFAq6da9B78dOljwXlpqGl26duPDjz9l/bo1tGnbFg9PT2rXqUudunXx9m7AM737kJiYgGetWjg6OhX8Lhq82ZCkpCReefklrly+xIXz5+nesxdNm9/bE27ZqhUeHp4YDAYSExPIzcnBxsaWbt17UN/Li9q16yApYplYo1YTFRVJRHg4J4OCyM3N5VpYKAP6PMP4Ca8xYNBgrKys2LJpQ6HP+NuZX/PbkcOsXLuuUg9+AqXzyNM45eXl8dO8H4utTFyzZk2OHDzAPxf+5vzFK9g7lC32Izk5mfVrV7Nh3VqyMjNp5OPD65OmMGDQYKytrStttyFyDS/3/YzbPRby8/wheObLv06rRWynYt+UZ3nrXC9WnfiBbgXZstXEh0eRYeFCPW9Xikrxq0+LIioug1yxG3Xr1UD6r3trdvJt4gyu1KshLdb1c/TwoTh51qNe3Xq4OjtRv359PD3cycxUEZ+YQExMDOGRUfj5ePPpezOoU7cuh34/WuH1+T2/7ObTD99HJBIxc/acKvMMLC/Llyzmx7nfs3DJMs6ePVtsv5fHjq2SrP2PApPJRGpqCnGxsWg0Wjp07Ejg8WPs3rWzoI9CoaBv/wG8Ou5lEIlQZWVhbW1Nbm4uk6ZOY8nCBbi4uJCc79Dj4upK27btOXhgX6F9IGsbGzp27MSxv/7ErUYN7iQmIhKJEIlEPP/CS2zftoXc3FycnZ2pUdOdxk2aMGnKVA7s30fo1atmEapdh2d6P4tbjRoYjcZC45eUN7Ikrl8LY9xLLxIff6/eXfMWLdm5Zy85OXo2rV/P8qVLyMrKpE27dnTt2p3uvXrh7d2gXA+uJpOJG9ev8defRzn+11+cO3sGpaMj3br3YMfP24o8pnadOqzbuKXQitDD4r+SxumRi1Z4+C22btlSbHtAq1a8MWE8/QYMZMnylcX2Kw6tVsP2bVtZuWwZcXGx1HR3Z8JrrzP6fy9UYkM+jyvfPcOQVa58fmwrL3k8KB95139h+Z/W9HhhAL6KPGIOzeS9z9ZyOj4bExbI6vdm0vc/8Ho7ZywAQ+xBZr/1OZtPx6A1Aoiwde/ClEUrmNr0KJNbz0HbzZOQfUEki3yYvOcP3m3+4I9ep9PSp/eztO/Wi1oeHtTy9MDT0xOlgz3x8YnExccTGxdHYlISxw7tITkpiV2/7q9QLbLMzEw+++gDft3zC+07duLHnxYUmeT2YZF05w5tA5rz5tvvoNZqi3XsaduuHc880/shW1c016+ZnUMALC1E+DbxY+XypSQnJXH92jViYmKwsBAxfsJrBTfKqyHmlYm69erTvUdP1q5eiVwuLygu6lmrFvXq1SfwxHHqe3kV7C8plY7U9/Li7/PnComWj48vEya+zq6dO7hx/RqqrCw8a9WiT9/+TH3zLY4cOohGqyVHb36wbNqsBU38/NDpdEil0oe6JPbnH78zbfIbqNXqB9r69uvP2TNnSE1N4X8vvsT7H31SpbP9jPR0Zn79JTt+3oZUKiUvLw+9Xv9AP4VCwffz5vNsn75Vdu6y8F8RrUe+PBie/4MqjriYGACGjyh+abAkJBIpY8dP4MUxYzm4fx/Lly7m6y8+Y/68uYx5eSwvj59QamDqAxjjOXPmFvgOpXONouc7Vo2GMLmR+d85IQuZOn0zxhFz2Tu9Lw1EN/h11jS+mPgeNQ6vYqhbGvu/fpe1cV359shvDGksRRW6l28mvsni+b8yaqWYHE0kgZc6sDDwOs2Sw8n1K/pPd/7cOeo29DXHZBUTTJyemYlOnUnSnTtMffOtCgnWmdOneGvqFFJSkqvFlb0iuLq50aVrNzauX8s7H3xcbMaSkCtX6NmzV5XYq9Vq0OmycXJyIlunI+J2OInxCSQkJKDX6+nQsRPXwkI5cvgQIVcuA+Z4w5deHsvhQweJjork7JkzAAS0ao2joyO//3aEJn7+hcRp88b13Lxxg0b3eUfa2ytIS0vDQanEwcGhQLSkUikTXpuI0WREbCcp6N+qdRsmvjGZ4MATGE1GnJ1dqOnuQU13d9zd3Rk+chSpqSkolY6FPpvikjqXpx5cVbBi6RK+nfl1kQ8jMpmMQwcP4Nu4MQuXLKVDp85Vfn4HpZLvf/yJAYMG8+P3c7h08R+kMhmafwloVlYWy5cs4pnezz7y38TTyGMtWnK5nD+P/o6TkzNdunWv1HmsrKwY9NwQBg5+jpNBQSxfuphFC+azYtlSho8cxasT36BeWWN48pJJTjViUd8Vl/uW7wy3/2R7YDR5Bb8pSzw7DcV26xauuo9h++fD8LcBaM6oL2cQ+Ns0ft4fy9BXnWgxYS5LLFvSq7ESC0DZuA/PBjix91oy6cbagBWNBr/CM7XtuZ0txdvSRFFV8f744yjOLq7IZTIUCrNw3Q0mVqlUqDVqsrKy2L9rO37+TZn25tvl+hxzcnL4ae4PLFm0AB9fX9Zu3FRtruwVYeiIkRw/9hcmU/HuzhqNhtu3I/Dy8n6g7W62BBsbG0wmE7//doTU/MBSO7GEJk38sLWzZd2a1Rw5eICUlBTad+xE5y5dOfbXUfJy87jwt9kdu2279ixdvJDkpCTatmtPTH4Vbje3Grz79ltkZmbQqvU9pxArKyt0Oh2etWoX8pBzc3OjcZMmOLu4YjQYaNqsOTVr1qSRjw9du/Vg2ptvcfjQAaRSKZ6etWgREICTkzNdu/egKLy8H7zuuzyuXnB7ftnNrG++euB9GxsbcnJykMpkBbOb6haKrt2607Vbdy78/TezZ37N2TOnC5ZfwbzcumzlGkGwqolHKlqZmZmkpqQU216nbl0W/PgDw0aMrPD6978RiUR07NyZjp07E3r1KiuWLWHbls1s2bSRPv36M/GNSbRoWcrMw0KKVCzCpFGjMYI0/7uZG3GcnzcFojcBuWlE30qjw48d6XgjkdyodYwP2HqfzOShVeXiGBEJ1KZ2ywDS927j282XuXU7ktu3bhGdqsPCz4j59muBi7sHFkYjz3Tvyu69+2kZ0OoB02ISk6lVuzZ2trY4KpUFwcRqtZostZr0jEySE+OwsbHmp0WLy7W/F37rFtOnTCLkyuWH4speEXrkz6Cio6MKnshNJlPBDSQxPp7EO4mEXrlMEz8/hg4fyfVrYZw+dZJzZ86QkBCPb+MmqNUq7O0dMGHiXP5MqG3bdiyInYtUJsNB6UBK/nc3LzeXbZs3kpqaip9/00L22Nra4uCgxGAwFLxnaWlJuw4d6Na9B+Hht3D38ATM+yFjx79Cbk4uEeHhOLu64OHhgUQiLfDaK47JU6dX3Yf4GHIyP1j+fsRiMTqdjuYtWrJi9Vpc3dzKNJZWqyH81i1uR0QUyqpjbW1NvfpeTxS/aAAAIABJREFUeHt7l6mobMuAADZs3sqr48cSeOI4dmIxhrw8lq1cU2ZbBMrPIxWtiFJKfKiysjAYDHTs3KVazt+4SRN+WriYdz/4kDUrV7B18yYOHzxA23btmThpMt179Cx649aqNk2aOGE8epGLWuidXx3FrueX7MlPPG+IWsKoLrMBA3lGsGk6jtnT21F49V+EnXtjMN7h4DsDmf6rnkZdu9OmwxCendAU0eEpfHpfhihLS6sCe+Lj4h4QrdsREcgV9ihkcmQyGRKJBJv8YGK1Ro1aoyEtLY2/TwXx0aef4e3doEyfk8lkYvPGDXz95ec4Ojo+VFf2+9HptMTGxpKelk6Lli2xtLTkxPG/SLqTRGxsDFqtFrFYjGetWmzZsIHMTHMYRY2aNdHpdNSqXYc7iQkFcW5anZaft22lRYuW6LJ1hIffy9x/88YNmvj5F/r7GzGRlpZG0+bNSU2997CVk5PDyOdfwNXVlcuXL+HdoAEenp7UqVMP3yaNsbayJjQ0hHfe/wDPWrWoUaNmqQ9hbjUKF/OrCuehJ5nvfpiLXC5j9coVwD3BGjp8BLO++77EpUqDwUBE+C3OnjnDoQP7ORkcVGLgsZWVFZ27dOX/7J11WJRb28V/M3TDUCKggthgoGACdne3mNjtsY6F3d3diXXO8dgKYndigkh398T3x8AoEqLH4PVjXZcX8uz9JDPP2nvf615385atqOHgiJW1dZ6zJnUNDbbu2MW4MaP495+/qVCxIrZ2djn6RUZG/FTjg98Zv5i08l4aVFJS4s4tebHDOnXr/dDrMDe3YMZsd0aPHc/+fXvYuW0rA/r2pmy58rgNG06bdu0/CzZrUrdbB0p57GfbHh9chlcgx3xDljlDEoqwKqmP9EYC2rUbUVehJAzkgac/GgbaSCMOceBUMLbjr3JspI1cIi8NY//+eKQyGbnJCXJzxdh76AhaWlpoampiaChCT/eTZOL4BCKjooiJisTBwYE+/foX6NlERUXyx4TxXLpw/odI2ZOSkggMCEBFRYUSJUty6MB+XmQWdVRSUqK4uTktWrZm7uyZCjl2+QoViYqKZPjI0axdvZLoTOsmA5FIIbfORjYSKXGxsTkEAwnxCaSlpWFrVxnva16APEeomJkZw0eNpnz5Cvx1+iTGJiaUKFGCMmXKMfGPKTg41iQpKUlxDiUlIRoa8thR1+49cr1PyxL/m2rFwgKBQMCM2e6YFjNjzaoVJCbIbcEGDh6SpyJQKpVy7MhhFs2fR3R0FKWsrKjh4MjUP2dia2dHufLlUVX9+M1NS0vllY8PT5884eVLHzauX8t7Pz+MjY2ZPnM27Tp0zPVc6hoabNi8lfVr17Bs8UL+nDqZJctXKtIEZv05jSuXLvHXv+cwEIl+2DP6/4JfRlpSqTTfYopmZmacPuFB+QoVvl4o8Y3Q09dn+MjRDBzsxsnjx9i8cQMTxo5m6eKFDBzsRo9evRVFJ9VrjGXukJu4LemBa8RERvVqg6ONHsKkDzy84MGejZt5rGxOHxNt6nTpQMnje5k9vSorZ3TGViMUz9UjGLXen8abr7CipjrqyjL83z4nOM0GS8kHrm2fytprychKpZL6yaBQIBCgq6tLxGdO76lpacTExWNkIEJXRwdtLS00NDSIjo4hMSlR7uYeHY3f6xcc8zheoPX2K5cvMWncGNLT01m7YVO+UvaUlBSCgz5KkFVVVbEsUQKvq5e5cP48gYGBZKSnU9qmDJ26dOGPCeOIjIwkMiJCET8a7DaMUyePExQYCMhd/ZOTk7l6+bLCngcgJiaaiPBwdm7fqnBMAIiJlvvM1apTh1s3bii2C4VCzIqb49ygAR/8/bEsURKQL+906NiZipUq0bV7DwyNjHIUFW3dtl2u96ujo/PF51eEb0d6enquqsTkpCQSExJYsXptvnZjz54+Yeb0qTy4f58KFSsyf9FimrVome/nXltbmzr1nBQiDplMxv17d9m6aSNjR43g4P59uM9fkGsMVyAQMHL0GEQiEdMmT8LGpgz9+g9g9IhhnD93FoBRw4ey9+Dhn15S6XfDLyOt0NDQPHOzQK7UCQkOplXrNj/xquT41Cbq0oULbNqwjvnus1mzcjl9+vXHdeAgTExMqDPlCIdsVrFq+2Jct0xEoqqGICMNqXox7Bq7smLFMNpUUkPIZNbOj2HCggm0PjIRFSUJYhVL6k/YwIxmBiBsw4gxHrgtdcPl5BiUpVL0qnbFbWg9Vu56gU90dj89Y2OTHK7TZ86eR01VDR0dHUQiA0UycVJSIvEJiURERpCUmMjkyZMpZmaW7/2npqQwf647e3fvpGKlSrTv0Akr69KkpqRw9t8zhISE4PvuLYEBASgpKTHhj8nMd5/Dvbsfc6P09PRo37ETu3fuQENTU56/pqGB9zUvwsJCeenjo1giS09PRyQSERcbo5Bhf4pGjZsQFBRIeloasbGxhIXKJb0f/P0xNjHB2ro0NRwcqefsjIWFBabFzKhU1oY+rq7IEGRLJK5k+3HppmHDRlSytQX4abZfRSgYli9ZzK2bN5j65wxq1a4DyKtpr1qxjGUrV+dJWBkZGSxdvJAtGzdQydaWLTt20aRps28iCoFAQA0HR2o4OHLv7h3mu8+mRZNGuA4YyNgJk3KtmN2zdx8kEgkzpk3h4oXz3L1zW9Hmfc2LI4cO0q1Hz6++ltyQmJiIa++epKSkZNveqlkTZDIpbdt1YOiIkd/lXIUJvyxP6+7du5w7+2+e7WXKlGHyhHHs3Lv/p1Yozgv3791jy8b1nDv7LyoqKnTq0pVhI0ZlvuzExIf48SEwijQ1I0qUscE4tzhuajhvXvgSJdFGt5gZt84dp1KlStTM/FKmhr3kuV8sysZlqVBaRF7ZL907d0RDQ4Ode/cD8lnrDPf5qKmoYmFhTtkyZT4mE4eE4Ofnx+t3b5GkJDJy5Ag++H8gMTGB1m3b8eD+PU54eODv/x4AVRUV3rx+RUhICNo6OgpbHxVVVVzqN+Ti+bOYW1goZkMlSpSkTNmyXLp4AXV1dcVARFdXjxatWnP44H5KliqF/3v58XX19BgxagyrVyxDTU0NE1NTzC0sqVChAr37unL79i2ePX2CgYGIhPh4/P3f8+L5M8X+FhaW1HN2xtmlPnXq1kPfwCDXZ+TauyfxCfE0atIsT6fvSra2dOjQMd+/exF+PgI++NPIxYn09HQAGjZuQodOnZg4bizNm7dg9fqNue4XHhbGsCGDePL4EQuXyAVc33NWI5PJOHzwANOn/IGBgQG79h3IIbzJ6jeofz+8vTyRSCTZxB56+vpc9vL+birNZYsXsm5NztJGxsYmHPY4jnUuCtn/dfyymVZ4eO6mplkIDQlBSUkJx5q1ftIV5Y/qNWqwebvc8mjr5o14HD3CoQP7ada8BW7DR2JfvTq2Zl8QNqibUMbehDLIA7OHDuzH/70f23ftpZ6zM+qm5an+iehox7atuM+awcat22nRspViu7GJCe/evuXe3dvExcbxzv8DEokUbQMtdLS1UVFRISUllejoaMLDw4mKiSElJZUQ3zc0ayRPHShfoQLXva/x1+lTVKxYiYef1DLT0NREJpNRwrIEzzPjS8ZGxiQkfFyKy4Kevh6NGjchOSWFwA8fSEtPw8LCglJW1sxbuIi27doTFx+nkAOXK1ee8hUq4DZseLbjZGRk8PjRQ3zfveXBvbs8evgQqVSKjo4OderWY9CQoTg5u1CyVKkCvYjq1K3HgnnuuA4cnCdpZc3YilC4sGrFcgVhgTyh+N6d2+hoazN77vxc93n29AkD+vUhLS2NA0eO4eBY87tfl0AgoHvPXlhYWOI2qD89u3Xh0NHjVKxUKUe/+QsX06SBM0pKStl8VeNiY1m5bCnzFi7+LtfkNnwkB/btI/qz8io9e/ehlNXvWYbnl820du7YTtAnMZBPoaKiQoD/e3zfveXM+Us/+coKhoiICHbv2Mae3buIj4vDwbEmQ4ePoMFXJK1GRUXSq1sX/Hx92bpzN84u9bO1JycnUdfRAQtLS06fOcuVSxe5cuUyvu/eEhUZScCHDyQlJeHSsh1WJa0wNTGhhIU5JUuVJDkpieDgEIJCQnjn58er50/RVlPi9i25m3b1Gg7ExsYSEhyElXVpRSKriakpM+e48/LFC0JCQhQzHLvKVejVpw/h4eGEh4djYmxMMbPiGBoZoauri0AgQCwWFzg1QSaT4efri7eXJ15eV7l5/TpJSUkoKSlRzb46Ts4u1HN2oUrVqt+U7nDu7L+4DezPqnUbePbsWZ79Jk+Z+v9emVeYEB8fj0O1yqR9EjrQ0tIiKSmJLTt20bRZ8xz7xERH06JpI2RSKQePHv8pFkrPnz2ld/euaGnr8M+5C7mKk44fO8r4MaMUSscs6OjocPfhkwLJ6guCPbt2MnP6VMXvpW1sOHDEA9PfVHb/S2ZaMpmM8HzKaxQrZsaFf89gXyNnHlJhgbGxMRMnT2XYyNEcPniAbZs3MdC1LzZlyuI2bDjtOnT8or2NoaERB44co1e3Lgxy7cuWHbuo/0lCqKamFl279+Dp08fExcVx5p+/ue59DR0dHT74+6OsooLI0BgjQ2N0tLXR0dJCT18fVRUVolPTiE9IID4hkfT0DCqWtSElJRmX+g2wsLSkTNmy1HBw5MH9+yyYOwd9AwMmTp5Cx05d0NTUpHWb3AUINvmUTvkSucRER3Pd+xpenp54e3kqvOOsS5emc9fuODk7U6tO3RxiiG+BSWbBzIgvzOjDw8MxNzf/z+crwvfBqRPHsxEWyBWm7dp3yJWwJBIJY0YOJzoqihN/nflpnn+VbO3YunM3XTu2Z8LYUWzZvivHYLVDp878+8/fXDh/Ltv2hIQEzp79l/bfaWm6R6/e7Ny+VSFs6z9w8G9LWPCLSCslJUWxXJQbTExMePfuLX37D/iJV/Vt0NLSYsCgwfTp58o/f//Flo3rmTR+LMuWLGLgoCH06N0nX6WZSGTIgcPH6N2jK4P792Pz9p00bNQYqVTKgrlz2LNrJwKBgKdPHlPKyhrfd2/xeeEjjx2lplK7YR00NTXQ0NDA0FCk8KBLTEoiKTmZ2Lg47Gwr4jYwu8Q9ISGBmdOncsLj2A9zZU9LS+P+vbt4e3nh5XlVYWNkYCCinrMzY5wm4OTsQvEfQBqmpvI8p9evXmFobJItrvApIiIiikirEOFzI1o9fX3iYmMZN/GPXPsvXbQQL8+rzF2wSCGq+Vmo4eDIH1OnsWj+PFavXM64CZOytQsEAsZPmsyF8+fQ0dElIeFj5YGtmzbSpm2771JtQEVFhcnT/mTooAHUcHCkTR6K198Fv4S0Pvfq+hxSqQSZTJbNZ62wQ0VFhfYdOtKufQe8r3mxecN6FsxzZ82qFfTu68qAQYPzzJI3EInYf+govbp3xW1gfzZt3U6jJk1R19CgTj0nNDU16NerB1KpFPvq1XEdMJAyZcsiFku5/fgZuto6aGqoo6mpiYa6GlFJSfK6WUlJpKSm0rVz9hHdvbt3GDtqJPFxsV+Usn8Nslyxr3l54e3lya2bN0lNTUFVVZUajo5MnjYdJ2cXKlay/eEWN8YmJqioqPDm9Wusy5TN03klMhe1YhF+Dd68ec2Tx4+ybUtKSqJRk6aUsrLK0f/8ubNs2rCOps2a07tvv591mdkwZOhwbl6/zuoVy7GvXgOXz+zmKlSsiGPNWjx6+ECxzbJECZycXYiPi/tueVvNmrfAvnoNhgwdXuBKGP+r+DWklZyUb3tycjLwcbT8vwSBQICTswtOzi48e/qUrZs2sGXTBrZv3UyHTl1wGzY8V+83fQMDDhw+SrfOHZk25Q+mxMdjaVmCzRvWAzBsxEj69OufTa6+Zcdu9HR10NHRwby4OSKRASnJKcTHxZOQmEhsbByx0VEcPXiAvq79UVJSYs2qFaxbvYradeuyfOXJ/+zKHh4ezvVrXlzz8uSal6fCbaJ8hQr0cXXFydkFB0dHRfLtz4KKigrlK1QkLCwUbS2tPEkrIrKItAoLPI4cyfa7UChEnJHBYLehOfomJiYycdwYVFVVmek+95tUglKplMCAAPz8fDG3sMDKyvqrZz5CoZBZ7vNo0sCZ8aNHcf3OvRzuHIPchjJkgPy7MHna9FwVh/8VAoGA9Zu3oq//82rY/Sr8oplW/qSV5VZtYmryMy7nh8HWzo7V6zcyaeo0tm/ZzKEDBzhy6ABNmzXHbfhIqn8Ws1PX0EBZWYmkxEQ8r1zh5AkPqlazZ+WadVhZW/P40UOWLFrAuX/PIJXJaNSmE2ampqiqKKOuLs/RykomTklJJSEpkYTocLZu2ohjzVrM+nMaPi+eM33m7G92ZU9JSebO7dtyAYXnVV69fAl8dFh3cnahrpPzT0sIzw92lStz5NDBfOuEFc20CgdkMhl3bt9EIBAoPCOVlZWpUrWaIk/rU5w87kF8XBxDh4/EwsLyq8713s+P3bt2cvTIYRLjPypidfUN6N6jB31d+3/VMa1Ll6ZPv/7s2rGNc2f/pV37DtnamzRtRiVbW4KDgrLlCX5vmH0h//J3wa8hraT8SSsmOirTO+9b610VLlhYWDLLfR5jxk1g3165TVSndq2p4eDI0OEjaNi4CUKhkKSkRFJT0+jYpSt7du6gU5euLFyyjNCQEPr27I6X51VUVVXlBsLq2kiFyujp6qGro4OauhqJCYnExyeQlpFBaloaqckpZKQm07NPH3p06YRlCUv++vfcV7myS6VSXjx/pphJ3btzJ7NKrQa169Sha/eeODk7U6ZsuUKX6W9rV5kD+/airJL3xzxrgFSEXwuBQMDx0/+QmpLC27dvuXD+HKtXLGPgELdc+x89fAgDAxHDR40u8DniYmOZO2cWx44eQSwqQXKZJki0P1YZTkiIYOPh02zdvJkePXsybcasAouCxowbj8fRwxw9dDAHaQkEAgYPHc7YkcN59+5tgT0/i5A7fglpJSblH9OKCA9HXUOD48eOIjI0xNDQEENDI0SGhj+9hs/3hL6BASNHj2HQEDdOeBxjy6YNDOrfDxubMvTtP4B6Ts4sXLKU7p07UsPBkYVLluF9zYvRw4eSkZHBwMFDcBs2AiNjY2bNW4iBrh46OtqYmRXHUCSS2yJFRRIVFUVMXCwN6zsx/W8Pnj19iompKVWq2heIsIKDgrjm5Yn3NS+8vbyIiZH7+VWuUpXBbkNxcqmPffUaP7X437fAwlI+WpZK8jZHLULhgrqGBrZ2drx66QNApc9yoAACAj7w+NFDRo4ek6srRW7wefGC/v36EJmYRnjnJaSUrgO5DLKiZVI03lzjyMkleHt7s3P33nxLuWTBQCSia/ce7Ny+LVdz3IoVKwLw3tdXQVpv3rwmPDSMuk7fv/bX74xCN9NSUVEhODiYyIgIxo8ZlaNdU1MTkaGRnMiM5D9FIjmxiT7dlkl2PzuWUhCoq6vTo1dvuvXoyYXz59i8YR2nThznyKGD6OnroaGhwfpNW/C6eoWhgwdiXdqGLdt3KoLR167fRCoDTQ0NRAYGaGlpoqSkhEQiIy09ndi4eJKTk+netQsJMZGsWbmCho0ac+zIYcaMH59j6SMxMZFbN64rBBRZbucWFpY0b9kSJ2eXfN0nCiuyXhwZGelf6FmEwgY/33coKytjVjynsvPKJXnuZpduuZsTf45XL33o1qUTcelSgntvRmyYj3mxQEhKWRc+GFgi3jeULp07cvTY8QIRV9fuPdi+dQunT55kwKDB2dpKZPpd3r1zm+fPnvH3X6d58/oVZcuV5/zlqwW6jyLIUehiWjo6OkRFRtK0eQtmu8vdmaOiooiO+vRnpPxndBS+794SHRVFfHx8rsdTV9fAyMhIQWKizH9Ghtm3ZZHdz1ySFAqFNGvegpo1a1GvlgNjx09knvtsZrnPRU9Pj/FjR6OqqsrmbTuyqaeuenmjnVl2RE9PDx1dHZKSkuVqwRR57az3b15x6cJ5+g8czNHDhzEtVoxKtnakp6UjFot58vgx3plLfg/u30MikSjcJ1wHDvoq94nCCqPMuNqX1KpFKHy4d/cu5hYWueb+PX3yGGMTkwL7RU6eNJH42BjCu63Mn7A+QYaxNeEtp8HxacyYPpUDh49+cZ+y5cqjq6vLoQP76T9wULbvjrqGBmXKluPIoYPZHFpCQ4ILdD1F+IhfQlqfWrR8Dk1NTaKjo7CvXp3i5uYFzuFJT08nJjr6I7FFRxGduVQWHRVFVKT8//7+74mKiiLuE2uVT6Gmro6hKJPYPiM7Q0OjbP8XGRqipaX1n1/s4eFhNGvRklevXqKrp0evPv34+/Qp4uPiWLZydbaKytu2bSc2Pp5ixsaoqigjFAhAJiMxMZHERHl+VlpGBqpCKTOnT+Pytet06dadQ/v3cdHzGlevXKZty2YkJiYq3CdGjx3/n9wnCisMDeXxisTEvONWUqkUiUTyXfJlivBtiIyMYP2a1YhEhhiIRGhra/Pg/j0cauZuxeTz4gW2BRQ0PH/2jEcP7hPv2J1U6+zHM04JRVmad74oFqVRr9ken5c3uOrp9UWjaQC7atV58fw5T589R/WzAqn2jjW5cukiBkbZHVgeP3mK2ncMe6iqqmD9GxtAF7o3VJZ66GvjJaqqqpgWK5ajeF5eEIvFxMTEZCe2bP+X/3zy+DHRUVHExESTm+OVmpqafPb2yRJlNrITGWXbpq2tnYPkypYrz+JlK6hexZbmLVqiqqrKvr27qWRrR6cuXRX9Ll+8wCVPT0qXKY+mtg46RmZo6ekTGxtLdHQ0cfEJxMXFUbF8WVo1cmHwgH74vHhOmbJleffuLSc8jjJn5kzatu9Iw0aNqFm7zm9dYkNJSQllZWW+ZFSWnJz8Wz+Hwo6E+AR2bt+WY7u5eU4Fn1Qq5e2bNzg5uxTo2Pv37gEgrnbfHG0NQ86hJsm70gQAFroIjepxyOME6upftl3SNjSlak0DduzZnyNmlpEhpZJ9Ti/VHXv2I/iOeYtKQiFTJo7F2Oj7mPIWNhQ60vpZUFZWxtjYuMDSbIlEQlxcrGLGln25MkqxjOnz4rliW27VUVVUVHKIS06dOK5or1K1Gv7v3/Pg3j3mLliUjeBWrFmHTQVbtHQN0NDWxUBPB3VNLaIS5LWy4uPjiYmNZfRwN9JS5V5nT588oVHjJgD4vPAhLi6WHr16YVe5yn95fL8VikircKKUVc7ZQlBgAKmpKZTPFDZ8CcePeyDWLYZUM2fCrYWxISr5zbQyIcjQQ4AMLa0vx8czMjJIS0tDS1MLgTA7aUkkkhxlRIBc+/5XhEdEFpHW/3coKSkhEslnVAURrEqlUuLj4rIR2keik8fkIqMief3qZbb9hEKhQoZtU+bjmVJTUnj+8B5KlepTSl0dbX0DtHW0SUlLJzEllYSkZKJioilWzBQDA31AH3NzC54+eULvvv3Q0tIiNZPIfH19i0jrEyR/Idm9CL8GpUrldMF48/o1AHYFTNBNTU4irWLOPC+Aqna2qPFlZalAmoFQkoGm1pfj3VKJhJTUVNTV1XMsOUskklxrCGpqan732LHBb+yKUURaPwhCoRB9AwP0DQwoTf7Ko1LmX17SjIiMQCaVcD7DnDfS0rhrSNHS0CAqJpbo+ASSU1OJi4unT8/uin1KWpUiNCQYgUCAyNAQsVjM2YtX/qfssX4GMtK/PNouwo+DUCigctWqit+TEpN49/ZNrmrVyExnE7PiBU+kzTCwyHW7ValSaCkVoMiFVIxAIkZTsyBKZBnJScmoqamh9Fl8WCKR5DADBgpEhl8L7R9wzMKCItIqBHj3IYh7d+/QrVOHPPtYWFiipqWDcmwwPtIadHkuZUCKhNoqGSTFJRGbmUtVprRctCGTyXjl85LOXbuRlpZGUGAgxkbGxMRE41TLAV09PcXypDwW91FkkqWsFBkaKsqO/M7Q0Pw+JSKK8G2QSmU8efQox/bQkJAc27Jc3P18/XLUscoLqhG+uW5PSExEWoA3oEAiRiAVIy1AFSepREJqWipiqTSH40xWW459vnwJXw29NG10+T2XvItIqxDg/r27hATLpa+JiYlYWlqipq7O08ePqV2nLiAXqLRu3QaPvzaSbmJDevGK7PCVsTNdHbNDG7Egnq1bdyiOGRgYQFRUJLZ2dvi+e4dUKiU2Po4eXTrRpVt3BAIh0dGRfPB/z8MH94mOiiIxF2m4srIyBiLRx7w4UXaC+zxXTldP74eb4X5v/C7OK78bsqpjf4oymaVxXr30KRBpWVqV5n3QM5DJcggj/Pz90RR+mYiEGWkIBDI0C5DzmSHOID01DU1tLQTkjGml5hbT+g6leD6Hvq42FAIrtR+BItL6RZDJZLz08eGalyceR48gk8mwsrbm8sULDHYbSrv2Hdi8cQPdevZSlAwZN34cnlcuw57BJNvURaJtjI7/HZQTI/ljyVIqV/koA7504TwgF3ZkOUxLJRK0tbVZtHR5rhLvtLQ0RdqAIhcu6mPqQFRkJIFBgTx58jjP3DihUIhIJMLQyOgjueWirMya4enrG/xykivYsk8RfhTystny93+fY5uevj7GJiY8fvSIDp06f/HY/fr2Zd6cWahEvCPDJPsy/Xv/D6h/cZ4jQZiRiqqqWoGKhaalpSEWZ6ClpQWfkZZYLBdpaGp+liaTh5nzf0Fp65zxwN8Fv4S08lttEovFqKqqkpaW9vMu6CchPCxM4eF3/ZoXEZlmrbaVq/DsyWM6denK8WNHCQ4KomfvPhw5dJCZ06eyet0GQL5EeP7SJVYsXcKdu/dIig6kWt3qjBo7Lps9U3BQEMuXLKZZ8xaUKFmSvbt3Yle5Ch07d6VK1Wp55iSpqalRzMysQPkoIFdKxURHExkZmWduXGhICC+eP8szN04gEGBgIMrhZJIzL07+08BAVOCcKrFYLK+m/IWXzf+yNdjvgOI6jObDAAAgAElEQVTFzVFVVc2Wv6mjo6Oomv05ypYrx+NHD3Jt+xydu3Rl8cL56N3cS2S7OdnaPoRGoCbN3y1FmJ6MQCZGT1cv/xdXJhIT4pFIpOjp6/E5aSUnJyERi9HR/bFO7EKhEAOD39ft/ZeQVn7WSomJiZiYmCpKXPwvIzk5idu3bmU6T3gplILFi5vToFETnF1cqFOvHiKRIQf376NsuXJ4HD3C/LlzWLdxM1Wr2XPqxHGcnF3o3LUbIC8aOW/h4jzPmZGRwYihQ5BIJMx0n0twUBB7d+9m6IgR6Onr5aj381+goqKCialpnnXCPkdWblxUZORHcvtEWRkZGUlkRASvX76U+ydmxuk+h4GBKE/brk/jdGKxBABdHR2io3M/llAo/O1jdoUdSkpKDB0xEl1dPcqVL0+5cuWZO2cWt25cz7V/JVs7du/cIR+QfCEZXt/AgC5du3Ng3x7SilciweFj3qOXaf18Je+az8+j9fIajZs0pWv3bl+8j4z0dEYNH0pV++r06fFZfxlMHD+GavbV6dWja+4H+E5QU1OjhGXu4pPfAb+EtLTyUbYkJiZiYmpKcFDQT7yi7wOpVMqzp0/kZrNeXty7e4eMDPlSQe26denVpw9OzvWxsrbO8aLs0as3V69cpoaDI//8dZp2HTqyffceunZoz7TJkxSlP/KDWCxmzIhhPHxwn9XrN2JmVpxB/fuhqalJUGAgbgMH8N7Pl/YdOzFk6DDKlvu5KsJvyY2LiYnOkROXfekyijevX+ebAK6uUSS0KOwY/1llYju7yvx16iRJSUk53hf21WuwZeMGblz3/uJ3AmCW+1w+fPDH++IqAAVxBWvlbemke2M3eO6lQZu2uLu7F2hp8Py5s4QFB9Jt0SKqVckuyY+KiuTdKx8GDxqUo60IX4dfQlr52f3LZDJMTU15+OD+T7yib0d4eBiPHj7E8+oV/vnrNLExMQgEAqrZ2zNs5CicXepTpWq1L37oZTIZk8aNRVdPF3V1DcaPHsmxk39x9MQpJk8cz4C+coPdfv0H5CgDkpKSjOfVq6xbvYo3b16zeNkK2rXvwIplS7h88QL9Bgxkz84dbNu1h0cPH7Bn106OHTlMg0aNGTp8BI41axXK2YaSkhJGRsY5HLPzwucJ4FcuXWLzxvUoK3/5hVOEwoWSmV6b/u/f5xBcuNSvj7q6Bgf27ikQaampqbF91x4WLZjHzm2r0A54QLRjT9KKVwThJ69AiRi1oKcY3j2AyuvrjBwzlrHjJxbY2uzA3j3oGxjk6tbx3k++1Ll29UounD9HmTJlKVuuHE4u9X9e7TlpKP/MGMMtx3XMbffxnJLI+xzbvJOzjwJIUbPAvt1Q3DrZoVdI9VS/Zqalnb9aS2RoRER4ODKZrNC9TBMSErh54zpmxYtjZ1cZExNTmjZrTlhoKAKgnrMLtevUVYgnCgKJRMLWzRuRSCT4+frSvEVLrly+RN9e3dmyfSdbduzi79OnWL1iOfv37sHAQISOrlzOKpPJCA0JQSwW07Zde9Zt3IyBSMTM6dPYs2sH7Tt2om49J9LT0mjUuAmNGjdh2IiRHDl0kG2bN9OtUweqVK3G0OEjaNq8xf+0B9/nCeD3792VN+TzEfrVIpAi5I7ymTHaWzdv5CAtDQ1NGjdtyt+nT/Hs6ZMCVQJWU1Nj1py51K1bjzGjR6G61wvUtEgtXpE0kzKoRfqhHvAI0lPQMxCx9sChAhFiFu7fvcvVK5fp2btPrgPUWzflS51BgYEEBQYqhFLXbt0p8Dn+EyShXF04gKm7n1LJ6mMcTxpzGffOAzkmcaJLexc0Ay5xdFIXHsaeYu/gcoVSqfdrSOsLEmNdXd3M+Ec0IpFhvn1/NMRiMY8fPlQIKB4+uE+jxk3Yun48Rxe7I20+hW5VVOnTz/Wbjh8YGMCEMaO5fesmLVq1pm279ji51OfqlcvMmfknndu3Zfio0QwfMYrWbdtx88Z1Lpw7i1gsVhzDtJgZnTp3oZiZGcePHWXBXHeioiJxrFmLlJQUTE2LsXDJMkV/TU0tXAcMondfV878/RebN25g2JBBlCxVikFDhtKla7ffYknt6ZMnqKmrk5aat6hHZPhrP19FyA6ZTIaX51X27d6Fjo4ue3fvxHXAwByDi159+vL36VPMmzObg0c9Cjy4bdy0GRcvX8XL8yrPnj3l9atXvPW9jKW5BZWdelC5ShWcXOpjWsA4bdY1z3OfBciX+T9HRkYGe3btxMTUlPCwMMX2uk5OWFoWzHU+v3Pnd+/S2GckBPqwds589j4Xo5FtTCrm2da5HEpqycp/1tLSRAgMoaZaQwbt3s/Dfu44qMr7JYb6ERAtBDVdSlkZo/H5WC81kvd+EQhMrClpKDcKTo/xxy8kHQOr0pjk2OHbUShnWlkZ4uFh4T+dtGQyGe/9/DLjUp7cuO5NYmIiysrK2FevweRpMxg0qCOX/+zAtH1BNLCZSLcqX18MUS55f8GObVt57+fHoWPHqVmrNgKBgJSUZKZOmkBf1wE8efyINStX4HHkCN169KRF69bMcp+X7VjhYWGc/fcMHkeP8PjRQzQ0NOnRqw/HPY5SqpQVfXt2Z9AQN0aNHZdtP2VlZdq270Cbdu254e3N5o3rmTFtCiuXLaVf/wH0de2PgUj0n57nr8SzJ08wNjLOt37b7+rP9r+Iv06dZNmSRdlUgwkJ8Xh5XqV+g4bZ+taqXYfKVapy6+YNLp4/T5NmzQp8HrPixenWoyefSyviYmNZMM+d9+/9mPjHlAIf7+/Tp3j44AGONWvlao/27z9/y1diBNlf3O3adyzwOfLCti2befb0CbPc5+b6rky7tILL/97FU68f609ac6rdWBQCe7EPFy74Yt11LU1Nsq5NG5e5V7ifKkBTFdLeHmfeH/M4eieYVBmAErrl2zN13VJ6lLrAmFpLEPRuQOD+3dyLyABVMxpMXc+g1LVMWnWF4DRQMqjBsC37mVjn+ygaf8naiJZW/sl0apmW/oEBH374taRG+PEuNEmRrSEQCLCytqava3+27NjFs1dveR8Uylv/QI4cP4nbsCEEeUxh6j+xOUcbCohJDH2Dz4t3RKTklgeSSvT7lwg0TZm3YhW3HzyiVvUKBL7y4W14MmoammzduZuN69fi4FiTQ8eOY2VtzcrlS2lS35lqthXp2rE9fXp0o7aDPY72VZg5fSrBQYH07uuK181b2NrZ0aJlK46f/pv6DRqwfOliVi1flsu1yO+5rpMTew4c4sz5Szi5uLB65XJqOdgzc/o0Aj74f4cn/XORmJhIYGAAxibGJOVTKdvY2OQnXlUR8oO6ukYOmbuuri5rVq3IIbARCATMmTcfgJl/TiUmD3VoQfHvP3/TuL4Thw8eyLNsUW4IDw9nzsw/EQgEzJ47P0e7VCpl3ZrV6BsYIJN9fBeoqKjQrEXL/3TNACnJyfzz12kaOTtx8rhHjna1ZqtosuIm57ZNpLGlSvaV8tRXvH6vSknDIDa6NaGmjQU25R3o+ucpApU0UU5/wNoR4zme1JhF51/w6vVNnntvo6PKv8yZuIWXYglpSb78deAtDTbcwufdHda0UcZrQQ/GX6vG/CtveXFnLz1NHrN9/WnCv5P1R6FTDwJIJFKUlZV58fw5jZsWfARVYKQcZ4TDEpLrW/DsL28iBOUZvmM2xR7cJFySS38lM+q69qW2kZDUp+uZsOAtTeaN4MO4JTm6fj4yUdItT5s/N7KwV0kujXBkhbAPLgH72Hc3ggxUKdZwOquGpLJx/Ao8g9NASYT9yK1sG1+TOnXr0bxlK9LT04mNjaVn7754eV5BnJHBg/v3ARkmpsXo138g0dHR3L51k/17d/P8+VNmu8+jW4+eKCsrM3bCJDIyMli1YhlSmZRxEybluaRQsVIlVq/bwB9Tp7Fj6xYO7NvH3t07adWmLW7Dhv/PGO2GhYYCUK58BeLi4vLsZ2RcNNMqLGjSrBkVK1XixfPnim2pqak8uHePq1cu06Bho2z9q9lXZ8Zsd+bOnsnE8WPZtnP3V8fAw0JDmTl9KufO/ouNTRnWbtxMrdq5G+x+DolEwpgRw4iMjGTewsW5OnSc+/cMr1+9zCHmcHKp/1Vx77wwetx4Wrdtxzz32YwdNYKTxz2Yv3gJ5uZyybtQW5e8pgjShFjixak8XzaN8A6jWbivLDKfE6xe9geD0vXx6OLNyZcmdDrgTvuK6oAINSsrJrlPR/mqHhIxgBJWnSYxuI45qkDT5g5on7pHs3FjaFBSDXCmZR0zDt8KIkwKJt9hmvRLSEtVVRUdHR2Fm/nnCAsLpVz58jx98vi7nE8mk/H2zWu8PD1JTIhnzLCSpCe959rjOqy99ooqEe9IUfdm2p5d+IhzOYCyLbrt+1DbCJaM3Yy4316mOb9g2Of9skYmdGXR+Sm0KBnH1UVujJs5ntL2R7BMS8bv/H4sJm3C82B1JOcm0mP0PPq9cMRtqRfraylzZ34v3Las46xrbVav34ihoSF379xGZGjI4YP7EYvFVKlajZBMX7bgoED8fN/h5XkVTU1NZDIZD+/fZ9L4cdSpU5dLly5QrJgZd+/cRqikxJqVK4iKjKRylapERUUpnN/tq9fApX4DYmNiSElJxtS0GDNmuzN67Hj27d3Nzm1b+fv0KWrXrYfbsOG41G9Q6EQynyIsTE5aZcuVJzgXD7ssmJoWrP5aEX4OBrsNY9zokYrf09PTUVVTY9af06h58XIOy62Bg4cgEYtZMM+drZs3MWRojm9lnjh53IOjhw9y3dsbgLdv39C987ct2f05dTJ/Tp2cZ/unMWiQ18YriFH21+LqlcvUdazB3AWLChBnl4FMDI4T2DS3p5xQajlSVvKOxgt3ccpGQJiwLJVssyffazkO5E9HIOU4IKSYZYmPRKKmjqrQEBOTrC0CVNVUQCr9bh6Lv0wcYmJimidpRUZGYmtXGc+rV775+BEREVy/5qUQUGQFQF0HDARKAsqUazeQJiX0UC5hD9hz+MnofI8pDTrB3xZTODTGHs34Fzna0+4dyzEyaTZlLpOVr6ArH5agZNWFsW51Ka4KNG9BdZ2T3G8+nhENS6IG1G1Vl2IHbhAcKsWwsnyN2sGxJj1798Hr6hX69HNVlGeQQ0BpGxu8PK8iEhmSnJyc+QwjePToIQEfPqCfWaZAKpGgpaXF/r172L93D1bWpfHzfQeAhoYGvfr249jhwxgaGeL77h1mZsUpZW3FuIl/kJSUxNkz//D08SNce/fEwsKC8ZMmU79hI6TSj9PTgsrTfzTCM5PTDY2M8iQtVVVVxbMpQuFAqzZtWTDPPZu5gEQs5oO/P0sWLmT23Hk59hk8dBgPHz5gwdw5yKRShgwbXqABVbsOHUGAgrR+J/Tu2++LfYS6RuipKWFargIixQxICZMKZTGW3CAs3gQEQr5U6ktZReWzONPnrovfF7+OtExNePfubZ7tZcqW4/DBAwQEfCiQwiY1JYW7d+/g5XkVby9PfF7IScXYxAQnZxecXepT18lZnhORchQQYlzcXPEApJG3OXbkFhG5Lg+aUrNjFR6Pn8HctU+wzvWpSUl4+y7byEQqlSLUqkm/WTWBZE4CQjNLLD8OS1BTFWJoaoIy8jiMqooqKsj4vH7kde9r6OnrM2feAgQCAXGxsZw7e5bJE8fRsnUbWrRqTXhYOMFBgVw4f44H9+8xefMWDu3bx+PHHx201dXVqVrNnuve14iOjsp2jndv3hAbG4NMJkUmkxEWFkpwcBAChFz39srWNzQ0lPFjRmXbpqunR/nyFXCfv5C1q1eioaGBgUiEpYUlpsWK0axFS16/fkVQYCBmZsUxMzNDV0/vh8zYnj99gra2NukZeTsemJoWK9Szxf+PUFVVZejwkcydPVOxTSKRYGxswq4d22jRqhU1a9XOto9AIGDV2vXo6uqycL48kXjOvAVfzK8SCAS079CJps2as2nDejZvWI+JqSnu8xfmWIrMQnp6OpMnjueExzHqN2jIpm07crUBu3zxAgP69aFTl65MmDSZZUsWccLjGDKZjGUrVyscbv4rHj64j/usGTx7+pT+gwYzasy4ghc0VbfFrqyQ6698iJZWy1y6k5LwIZAYJRMsK5XCWHKdV6/SyZQRyp/Bo/WMXRFGy1m/Jkn6l5GW7hf8t7KkyDe8r9GtR68c7VKpFJ8XL/D28sTL6yp3b98mPT0ddXUNatepQ+eu3XFyds6RiPsplJQ+3r404gaH1qzhRW7vOBU7ZKUDOHsrkhfVP9qjSKVSGGtD2S1jOfnPREyQKUYmsbGxXDh3li7duiORSFCkPymroPrZuq5AIF/CfP7sKdXySJO6ce0atevUVUh/9Q0MqFNXvvYeGRFBi1atFX179ulLHcfq3PD2ZvX6jTmOJZFIGD9mFKdOHKeqvT0lS5bCxsaGpi1aoqqmRnhYKIEBAaiqqREZGYl99ercuX2TjEwCyPKJa9CoMde9r5Ge6ROZmpLKndu3WL50MZcunEcmkyGTyTAwEBETE03Xbj3wvHpFsXQH0LZ9BwYNcePo4UPEZ8ae9PT1adqsBTVr1+bmjeuoq6tjkUl8Bc0j877mhXP9Bvj55l6WAvgqWXMRfh5cBwzkhMcxnj19otjWvGUr7t29zcRxYzh36UqOZUI1NTUWLV1OlarVmD1jOr6+vkz7c0aBYrCamlqMn/gH3Xr0ZPH8eRw5dDBX0nrp48OMaVO4d/cOfVz7M33GrFwJKz4+nqmTJ1GlajXmL1yMuoYGK1avZeBgN7y9PL8bYQEcOXQQExNTLl7dQMlSOSs95wsla9r1rM/2KSuYsbscC/pUQen5AWat9USt/lJaNbEmzPoIhxaswGXdOJxM4xHH+LF9yUYuBnWmv+jX5Dj+MtKysDDPt10mkyeLel/7SFqhISEKKfo1Ly/FTMGuchUGuw2lnrML9tVrKNSHXwPlCuM4/nJcnu3SqHsUn6b5cSaW9oSjq/5Bue0kOjrVxkQoRKdUKYwl3rx6lU6zsgKq2VeH9IdsG7Wc8Fazsc3n/BkZGSTEx0POuneEhoTw7t1bXAcOyrbdKDOT/nOfRm1tbfr1H8DuHdtxGzYihwOJkpISK9esQ0tLiwP79lKjhgMjx4xDIBCwedvH8iZZVVbV1dVp064dt27elD8rZWVEhoY4ODqyZMF8rl3zIjQkhPR0OXkFBQUiMjQkMtMQ2NDIiJiYaNLSs+dLiQwNOX3yBLExMQQFBipm3qVL27Bvz27q1K3H48eP5M8FKGVlhUwm44+p0/nn9Cl8fF5gbm5BufIVaN22LVWqVuPxo0dERUXi8+IFzvUbkpaWluegpYi0CieUlJRYtHQ5bVs2QyqVMm3GLIYMHUZIcDBtWzVn5LChbNyyLcf3XCAQ0LN3H6pWs2fS+LG0adGMho2bMGbceKpUrfbF85qbW7Bmwyb5YPQThIaEsHzpYo4ePoR9jRr8c+5inmVRUlNSGD5E/j3dunN3tnzHSra2VLLN7y3w9ViweOl/WC1QwqLbctYEj2LKvNY4zFYCsRLGdYawbH4XTDWFjFk/n/BR7rjWWo+SUIxUAqqlWjBl3UQc1M+z/bveTcHwy0jLzKw41tbW+OYxEg4PD6NM2bJcuXSJ2TP+xNvLk7dv3wDyD1fT5s1xcnahTt16PyWXSGhYg45uNT5uiN7HjTVnUas/mCGdMg2AHbvQxvrwx5GJlT73Ns9g6/kgOgw0zHedVyzOwNjEBHKZ6d24Ll9zr1vPKdt2DQ1NtLW1CY/IaS7sOmAgWzZtZP+e3bgNH5HzfoRC5i1cjFAoZNuWzXKD3Tlzs30BPh1Fli1XPlevwsXLVwLymeKb16854XGMfXt2kZCQQA1HR+rWdULfwAB1dXVatm7Donnu3Mg0QjW3sERDQ4M6dery1+lT2Y4rlUpJz0iXxz4zSUtHR4enT56wc9sWkhKT8PP1xc/Xl5TUFHZu30r/gYO4ffMmz549BeDCuX9JS0unuLk54eFhpKakoKWtjchAhI6uHmpqapw4foy01DTMLSwoU6YMxcyK5/wDFOGnw9bOjjnzFqCnp0fb9vLiqGbFi7Nl+066derAsCGDciUukCtgT585y/69e1i2ZBHtWrWgQaPGjBw9lspVqnzRUk0oFJKens7zZ085uH8/p04eR1NDk0VLl9O1e488XVRSU1IY1L8fd27fRlVVhds3b9CmXfv//jDywVcRlkYb1vi0yb5NaEy9CYe4OtAfnzdhSEXWlC9tRNZT1azYm5WXOjDZxwf/eGUE6gaUq1QSPWWAjmx6m124ot5oBXf9Pt2iSvUZ13k94+vvLS/8UpcOq3xIKyoqinou9dm2aSOHDx2gXj0n+vYfgJOzC6WsrApdLCIoMICkJJ0cI5MM1VI0m76BMY5qXNyS9/4CBFSoWBEen87Rdt37GmbFi2NlbZ2jzcjYOFdHfENDI7r36MW2LZvoN2BgrssYQqGQuQsWIRQqsXP7NqRSGbPnzvumZysQCChbrhyTp01nxOgxHDqwn21bNrF65XKq2dszJHPGt3Dp8hz7pqakYO/gQER4OKHBwSQmJVK3nhNqaur8e+Zv3rx+TWBAAIZGRnTs3IVateuwa+fHMZ4AAXr6+hz3OIaNzceaSWKxmKDAAGKio9DV01PI4BNNi5GYmMDsGdMRCATcviWfQdaqUxcHB0e0dbR5/uwZ7/3k376KlSrRpWt3oqOjiImJQUdXF7PMEi5ZcbHU1FTU1NQK3efyfxm5qd+q2Vdn6vQZzJk1I1/iUlJSoq9rf1q3bcualSs5evggnS5dRFlZGSvr0lSytaVc+fKoqn7cNy0tlZcvXvDi+XP8/HyRSCTo6urSp28/Ro0Zh14+op2UlGQGuvblhrc3enp6xMXFMWr4UJ4+fcLkqdMLvT2asn5J7BxK5tGqRbEKNSgsOluBLDdb7J+EsLAwtm7ZnGd7xYoVGT96JFOmz2BoLrOFwoR1a1Zz5u/THDzigZ6+CqGZIxOz8raU0Pvy2EAiEWeLsWVBJpNR28Geek7OLFu5Okd7lw7t0NHVZcfuvTnaAgMDcK5dE/f5C/NVE8lkMubMnMGuHdvo49of90yxx39FRkYGf58+xaYN63j18iWlrKwY7DaMTp27/GebKP/3fnz4IE8+V1ZSwrJkSR49eMCTx4/ZtWMbSkrK6Onro6Kigq6eHtFRkYrq0MXMipOWloqJiQm6unrcvXMbgJq1auP77h1JSYnYVa6iIDMHx5o8e/oEiVRKlSpVFf0da9bCskQJipmZcf/eXR4+eICFuQWNmjSlU9eupKel8d7PT7HMampaDCcXF0WibJHv4dfjpY8P/Xr3ICI8HKlUSoNGjVm9bgO6urr57pecnJRZHugVb1695O3bN/i+80Us/ri0oaKiinXp0tiUKUPZcuUoV6489Zycv/hZjY+Px21gf27euI6GpiYpmQreLLTv2IlVa9d/+00XIRt+KWnJZDJWr1qZa5l3ABsbGxbNn4udXWX2Hjz8k6/uywgKDGTnjm0EBwVRpkxZhgwb/sXE6U/x8MF9tm7eRN16TvTq0zfXPr7v3tHQuS4r16zLtVLrcLfBBAYEcPrM2Vz3Hzd6JHfv3OGq94181VQymYy5s2eyY9tWevXpmzkD+z4v1Sw/uU0b1nPzujeGhka4DhhIn36u6BvkEsT7D/Dz9aWBUx3+mPZnthpaMpmMlORkEhMTSElJoUWLVlSpWpU9u3cSklkGp7i5OXaVq7Bz+zY0NDQU5GRXuQqmpqY8fvyIUqWsPiGtmggFQm7dukmVatV4/PAhIJ8NCIRCHty7S82atbh9+xYAVavZU7JUKZ48foSOjg5hYWGYmRWnajV7mjRthp6+Pn+dOolAIMDcwoJatWtTpmy57/p8/pdx88Z1hgxwVaTKCIVCeVWIYsVYumJVru7qPxq+794xyLUv79/LZ+Wfx8MMDY04dMyj6O/4HfFLlwcFAgHWpUvz5HHuScTv37+ncZOmnPA4RmRkRKHJAZJKpWzfuoUlC+ejpa3N4mUraNa8xVcdIyw0FNc+vdDV1WXpilV59rvufQ2AOnXr5dpubGySbxmXocNHcMLjGH+fPkX7jp3y7CcQCJgx210R45JKpcxftOS7EJdAIMClfgNc6jfg6ZPHbN64gRXLlrB+7Rq69+zFwCFD/rNxaBb+OnUSADMzs2ykJRAI0NTSUvha1m/YEJFIxJxcrHfatGtPXFwswUFBBAYEkJCYSO3adYiJiebF8+dUrlKFoMBA1NTV5UU1BQIiIyM+nksooESJkjy4d5e0T6rxJiYmEBYaip+vL7Z2doSFhhIWGoqSkpDIyAg8r1ymuLk5r15mFQstTv9BQzh5/Bjp6fK6bMXMzLAuXZomTZtzzfMqGRkZGBsbY2FpiYmpaYEcz/8XkZycxKhhbtlyO7MIIj4ujj49utGtR0+mz5z9xVnX90Bqairbt25m7aqVCIXCHGQFRYT1o/BLZ1oAt27e5OLFC3m2ly9fnoljRzNzzlwGDBr8E68sdwQHBTFh3BhuXvfGpX4Dlq5YVeDKvVmQSqX069UD72teHDtxmuoODnn2HTp4IG9fv+ai57Vc29euXsXqFct48z4gzyW9ga59+eDvz7lLV75IQjKZTO4usGkj3Xr0ZOGSZT9kGeuDvz/btmzm8KEDZKSn07pNW4YMG4Gtnd03H1Mmk1G/Xm0MDQ1p2qIVkZGRufazsLDAtf+Abz5PbggMDFAs+6moqFKsWDFOHvcgOCiI169fERgQgIqqKvMXLmLp4kUkJSZy47o3YrGYMmXLYV+9BocP7sfY2JiIiAgEAgECgYDqDg7cvX0bfQMDYmNiALAsUYJKtracPXMGZWVlhduCQCBg2arVbN+yGU0tLUKC5MuhDjVrMvXPmRw9fBBlZWWKZebIWVhYYm5hQcAHf5SV5VWoC8xE7hkAACAASURBVHPs5emTx/Tq3lWRGvEpVFRUEAqF6OnrM33mbFq3aftD7kUsFnPqxHFWLF1CYlIiWppaBAfnLFhbRFg/Dr+8XIqNjU2+pKWiqoq2tjYeR4/8ctI6ffIEf06dTFpaGu7zF9Knn+s3xX727NrBNS9PRowanS9hSaVSbt64nq8btImJMWKxmLjY2DyX2oaPGEWn9m24dOHCF92wBQIB0/6ciZJQiU0b1iGVSlm8bMV3J64SJUviPn8BYydMYO+uXezasZ3Tp05S18kJt2EjcHJ2+epn++D+ffzfv2fk6LG8yuYakh3/hRjzgoWFZY5tec1sN27ZBsjz5SLCw4mNjaVUqVI0btqUe3fuIEOGirIKqqqqtGzTlhFug0mIjycWOWlFRkRQq3Y97t29q0grADlpexw5wovnz9HS0iIpKQkdHR1OHvcgMiKCu3fukJaWquhvIBIxc447M6ZOITExESUlJSra2qKtrcPqtev598zfpKenI5FIEAqE1KnnhK2dHaGhIejrG+Qq7vmRsKtchQOHj9G7R1cFgWchK4ewatVqTBw7mtUrltF/4GAaNW5CcfP802sKgsDAAC6eP8eObVsJCw2lr2t/Ro4eS0DAB9q2bJ5tpmVkZMTBo0WE9aPwy2daAFs2b1LY7nwOLS0tAvzfc/zYUc5evEL5ChV+8tVBXFwcM6dN4dTJE1SytWPVuvWUKVP2m4715vUrWjdvik2ZMpz46wyqqnmXNXn29Amtmzdl8/adeS4/ZmXeX7jime+XpGvH9qSnp3Pir38KRAYymYylixayYd0aOnXpypLlK3/oKDwlJZljR46wZdMGAj58oELFirgNG0GrNm0LVOocYPqUP7h6+TITp0zl+Semq59jxMhRGHznWNqPhkwmIzo6ig/+/ggEAqpWs+fhg/v4+/sTGhJMSHAIGRnpuA4czOw/pylEJFbWpYmLjcFt2AiWLl6kIC1VNTXS09Jo2qwFPi+eE5BZUcHExITw8HBq1qrNvbt3kErl7ihmxYsTGRGB68BBnD1zhoAP/hgaGmFuYUFpGxvGjBvPimVLkclkmJtbYF26NCVKlqRW7TpIJJJsL/WC/j3zQlBQIONGjeROZqwwC+bmFly7dYew0FA2rl/HCY+jJCQkUL5CBeo3aIRLgwZUr+GQ73cuC2lpady/e4erV69w5dIl3rx+hbKyMv/X3lmHRZW2cfgeBhhKFBRUFBUxwEDCQEFMwha7u7vXtbtbbLdcu13bdS0aC1FSQUUBUVFUJGeG7w9CUGIIXf323NfFdSnnnGfeM8D5zfu+z/N76jdoyKYt27KtrixdvJBd29OK+G2aNmX9RpcCr74IKM53IVqeHh7888/lXI9bWFgwduRwRowew6w583I972vg4e7G1EkTiIqMZPTY8UyeNl2hX/qcSE5OxrlDWx6GhHD24t/5fhLbvtWFlcuW4usflKsjtN89Xzq2dWL/oSM0+ayOKytXr/zD4P592X/4aK77Y5+TmprK2lUrcNm0Eeeu3VizfuNXXz6SyWRcPH+O7Vu34HfPFwODCgwdMZJeffrmmeSSmJhIQwszuvfshVhFNcc9BgAdHR3Gjhuf47H/Z1JTU7n89yVeRkcT8fw5sbFvUFGR0MnZmdUrl+PpnlY7p6+vj5JYTIdOnTl7+i8i05NUatWqzaNHj2jRqhUB/v6Z7Wr09PV59fIlLVq2IjIykuCgQAAsrazwu3ePfgMGEuDvnykw1arXwNzCgh69enP+7FnkcjkVDQ2pXLkyJqa10Cqhhe+dO5QspYOhoSFl9PRynOXL5XK2umxm84Z1JKU7svw0azajx3762SYmJNDW0Z6PcXHEvIlBmpKCWCzGsFIlKleugqbWl/7nH+PiePLkMc/Cw5HL5YhEIrS1S/Lhw3vkcjnq6hpc9/BCX18/2+t06dSezs5dGT5qtFD28JX515cHIa1SPC/Rio2NpVr1Gpw4dvSb1TwkJSWxZtUKdm3fRoUKFTl8/CQNG1kXKeaGtWvwf/CAuQsWKbR04O7qSl2zenm2MMjoB/Uql/2bDJq3aImJqSlbNm9UWLREIhFTZ8zMdIeXy2Ss3bg5X0+3oiAWizO9FL29PNmxdQuLF8xj47o19B84iIFDhmV7YGRw5fLfvH//HiPjajz5rCdTVoyMvqx1+y8gEomwz6XNz5/7D2W6mQBIJGqIxWJatbbHx8uL58+fIVGVMGf+QjRLaLJjyxYkEgkRz5+jq1sa1fQPCVk/VKioqCKVSvHx9spmuaRVQovjR4/w9MkTRCJRppg1bGTNm5gYKhsZ8frVK+75pmViWjdugpqaGr379ef+PV9epS+Hli1bjoFDhtCydWuWLlzATR/vL7JrIyMjCfvM31RdQ4OPcXEEBviTmJhIYmISyclJqKioUKlSZTQ1NUlMSERTU5MPHz6QmprKu3ef+mslJMSzfs2qbJ3A1dTVOXfpnwL9PAQKz3chWtra2lSpYpSZNvo5jx8/pmfv3ixdtJAb16/lamZZXAQHBTJx3BiCAgNx7tqNhUuWFTkjycfbi60um2hsY8vgz+yYciIpKQkfH2+GDM17H690eufdnAqMsyISiRg9bgITx47mnu9dhWxtMq6bMm0GSiKl9H5cqazf5PJVhSvjda0bN8G6cROCgwLZuX0bO7ZtZef2bXTp1p0Ro8ZgnKWQ+NCB/WhraxOdpZ15TmQtPhZIQ1lZOcefZ8b7/zlb0/fkUlNTeRf7FlWJBLFYmTOnT2X+bWqVKMG4iZPSXCy2biHA/wHx8fFIVFUZPXYcAf7+X3SUDn8WTlhYKFb1G2Z+L2Nf19f3LjVrmmSrnXO9cY3k5JQ0Y+TkZKytLGjRshVNbJuSnJzE2dOnvxh73IcPxGXJQNz5y+80srZGq0QJxGIxly9dZNjgvB3SDx3Yz5DhIwq9RSBQNL4L0QKwtLTMVbQAdHTLoK2tza+7dn410ZLL5fy6exerli9FTV0dl207aN+xU5Hjfvjwgcnjx1GiRAnWrt+oUFLD3Tu3SUpM/MK66XNUVVUppaOTr2gBtGvfIW2favMmdvzym8LjB5g0dRoikYj1a1cjl8vZ6LL1qwtXBjVNTFm7YRPTZszk1192sf/PPRw6sB97B0dGjhmLqqoq169dpf+gISQkJOQaR1NTM5vQCRQNkUhEKZ1PFmpdu/XI8bxV6zawcu163sXGEp8Qj4FBBRIS4gkJDiYqKooXUZEkJiYxasxYEhISOP3XqTRLM9KsxIYOH8m7d7E8evgwM6aSkghViYSwsDCqVjXO/P7Hjx/58/ffCA9/irqGRr73sHnjeqKjexP+9AnRL14QEJD7XiikGfPaOzoJS4D/It+NaNU0MUFDQyOzH9TnBAUFMnjYCDauW0NwUCA1TYo3ISMqMpKpkyfg4eZGE1tb1q7fRHmD4vGhWzB3NhERz9ngslXhTCZ3N1dUVVWpn0d2YQZlyujxKgf/wc9RVlZm5OgxzJ01k4chwQXObpo4ZSpKYjFrV61ALpezacu2Im+qF4TyBgbMnjuf8RMns3/vHn7dvYtunTuiXbIkYrGYsuXKEZtHq/R65ubfdUr3/zNpAqeTmeGqrq5BPXOLHGf87Tp0zDHGfT8/ggIDeP78GSVLlsLByQnX69cJDgpEIpEQFRWJRE0Np3btcL1+nbgPH3gWH57nuFJSUjh35jSeHu7UqWuWTRgz0NHRxcLKCnsHR9p16PhN6sAEcue7SMTI4MqVf/BI3xDOiZo1a7J4/lwc27TNsyC3oJz56xSzfppOQkICP82aw5Bhw4stxfv82TOMHjGMdh064rJth8Kf0Lp0ao9EVcKBI8fyPbd3j24oi8UKuYYkJiRg06gBzVq0YN3GzQqN5XO2bN7I6hXLcWrTlk1btxc6MaWoJCUl4bJxPZs3bqBbj56U0i2d5/k/YtagQOFITk7G092dxKRESE0lJiYGkUjExQvn8Pb0zJyRW1rVp2fvPixeMA/tkiV5/eoVycnJ9BswkEbWjalrVo8qRkb/8t0IZOW7Eq23b9+yxSXvB6mGujrbXDbh7nM7xw35gvD+/Xvmzf6Zk8ePUdPEhI0u24o1pT76xQscWjVHVVWVv69cV9iyKC4ujnq1ajJp6nTGT5yU7/kTx44mODiIC5cV6/S8ZfNG1q5ayXUPr0I7UWzbspmVy5bi4OiEy/ad/5pwDe7fF9cb15k9fyEREV8WeWZQs6YJ3XvkvHwl8N8jPv4jcnkqampqKCsrk5SUxMuX0QQFBmJialpsDi0Cxc935dipo6OTb3ZXRcO0dhZ//lGwPZnP8fL0wKlVC04eP8awESM5dfZCsQqWXC5n2uSJvIuNZc36jQXy2PPx8kQmk+W7n5WBnr5+tiLT/Og3YBDq6urs3P5lg0hFGT12PLPmzOPSxQuMGTksM+34W3L3zm2uXvmHPv0H5ClYAHbNvr0vncD3i4aGJlpaWpn7shKJBEPDStg7OAqC9Z3zXYkWpCVk5EVISAiDhg7nzz9+JyEh5/2vvEhKSmL5ksX06tYFmVzGvoNHmDN/YbFX92e4XvQfNDjNn64AuLu5oqWlhVm9/LuuQlp7kpiYGGQyWf4nAyVLlqTfgEEcPrA/M4W4MIwYPYbZ8xZw+dIlRo/49sK1Ye0aVFVVqVM37/fJxMRUaPj4HeK7bw7D2jTEvJoh1auZYuvUjzm/evJSsV/jr0PSVVZ268j8c7nvjeZNMtGeBzjvL835sCyU/ePb06ldGzq1a0Pn9m3p0qkzfQePY8muvwnN+kgr8lj+P/nuRKtGzZpfdNr9HIOKFdMy2NatK1DskOAgOrdvw45tW2jXoSMXL1/Fpqlis5mC8DAkmOVLFmNUtSqz5hS8+5m7myvWTZoonJ2np6dPavq6vaIMHT4iLVtyVx5NvhRg+MhRzF2wiCuX/2bUsCGZbTi+Nq43rnP92lX69h+Q2fE4N+zs7L7JmAQKgDSYAfP+hpaTWbf3JIf2bWayvSoey/owYLknH/OP8HWQv+Wxry9hr1PIuTw9n8tf7GVyv8VcepaLaKUmEBXkS5DUhLadOtO+YyecHJthXjaWq2sG0rHzHK68Sn9lkQY65Q0oo/XdPab/Vb67d0MsFtO6tX2e5zx6+JDxEyezc/tW7vvl7BCfFblczm+/7KK9kwPPwsNZv8kFl207ir0tBqRtAE8aP5aUlBQ2bN6Cunr+abdZef36FUGBgQovDQKZ6cGKpL1noF+2LN169GTP77/yLgcD0oIwdPgI5i9azNUr/zBy6OCvLlwpKSksmDObcuXLY1q7Tp4zTFPTWoKlzneINOA4kk6L2DS9Ny2trbBs1JquU7ezaYQRj/bt5NIXk4t4Xj4K5GHEO5JzCkgirx4/IvrjJ6mRvntOyIMAwl7lsiIjjSP6UQCBoQVfbZDFRfDQ35/Ql5/FlslIleefJqBcpRkDRoxk2IiRjBgzmekr9nLm6M/UefYbPy+9SCyAaiNGbN7OeLss2YryeGKeBhL4MIL3OfzaS+Ne8Cgg7Z4LI7o/At+daEGaQ0blyrl10UxDRSKhpokJM6ZOzjTLzIkXUVEM6NOLhfPmYm5hyYV/ruLctdtXq7PIcL2YMGmKwgW8Wcmw0ymQaGW4YiiQ9p6VkaPHEh8fz59//F6g63Ji8NDhLFqyjOvXrjJ88EAS86iXKip//PYroaGPmPHzbELyMMYFYZb13ZIKCRHhRGVTIFVqDVjLjg3DqacCEM+ZsXVoOmYFS50b0qRZC+wb1sOu+yIuR8gg4TgJJ0ZgbtOPiT0b0tjWFtuOKyAxiKPT29K4Xn0cHFvS0tKMFkM24vk64zGexKMTP9OjcV2sm7WkjZ05k/YFktNvrCzqAvOcatOwy0o838hBGs6FxV2xrVcfe4dWtLIyo8WQTXjHyJFH/cbg1ovwSX7L6dG1aDDhTIHeEvW6I5nR14iY8we4FCOHhFNMrFuToftfA3Je31hJ70a1qN+kBW2aW2Fl4cjM44+RAiQ95OTszjStZ0Fr+5a0tDKnzfi9BH29P8N/je9StEQiEU5ObfIUlufPnjF2wiQCAwLYvjXnrqBnT/+FQ6vmeHq4M+PnWRw4cixHN+7iIsP1op65BWMnTCxUDHc3V/T09ApUQ1VGL63PWEGSMQCqGBnRtn0Hftm5o1D7g58zYPAQFi1djuuN6wwdPKBYYn7Oq1ev2LB2NZ27dCUqKirPc2vVqpU5CxX4vlCu0x2Jx3w6Ne/M+Pkb2H/ehyexUpTKWdDKsQlV052fpEnxPD+9G7fq8znlG4zHsZnUebKTqbMOEiGXgSyJ+CfX8Ku4jKsBtzm0xhnP5cOYdSaVDpuvcS80iCt/jKfSvdWMmbqfZzJIvrueidMO87HVWs7df4q/224uzZvC7sDsS3rSZ3/xc+8xnFTpw/qd02msK8XfZRRT93+k9eoL+Dx6ws0zi7AK28DYn47xspQTM9YNwlRFG5upv7N1XEFt31SpXd8crcQA7gemADKSEhJIlqYiT/bll/lbeGG3iX+CIwgNuMrypm85umANl+OS8d04mp+OxNFyzT/cDQvl2s4eqFyYy087AwnKZaXyR+W7FC1IW/KysrLK85yn4eF06uzMpvVreRgSnPn99+/fM2XieMaOGoFeGT1OnT3PmHETvmphaYbrhURNjfWbXApddOvu5koTG9sCzQR1dXURiUQFnmkBjB47jrdv33DowP4CX5sTAwYNZumKVbi7ujJkYPEL16rlS1FVldCmXXveftaeIitKSkoFToAR+IaIq3Hs159pb/Qe732rmDWsI83NzbAfMJ/jAdk7mYurDmDJ4u7U1iuJgfUIlk9tidz1KOcj0mdOyiZ0GOKEYckKWNYI4+CxJ1QdtIJZHUwoqVaKqi3Hs3amPbLrezjx8CO3jx4nWL8nsxd0wVRXgqZRG34a0IyKsk9Pd2nkKab3mcglndHs2vMzNmWUIMmbgwfuU77fUuZ2qYe+uhp69fowb4o9KVf2c/Z1WUzNKlFCJEa3WkMa1ChT4LdFVKIEWqlxvH//2RJj6jtiP8iRJsaRkCRDXNIU5zlb2bp2GGbymxw/HoR+9wXMda6FjkSTKk4/M3/WAJpWlCETROvb0cTGNk+hefvmDR2du6CsrMKMqZORyWT4eHvRpnVLjh89woBBQzhz8dI36eaa4Xoxe+58qhob539BDjwLf8qz8PA83dpzQiwWU6ZMmQLtaWVQp64ZTe2asWPbVpKTc94tKCh9+w9g+ao1eLq7Mbh/P+Lji2db3ffuHY4cOsisufO4c+dOnuc2btKE0qXzLjYW+HepYj+eFfuu4HP/LucPuDBrUCOU7+xmWu9xHH7+acNGy6w+tSUZ/1NCx6wuleSPeRSWfo6SPgYV0pKWZJGPeBKnjWm9mlnsfpTQsTDHmKeEPnxLaFgUStXrUDtLwvDA+TNxrpPxjWS8t8zjVFgS6oamVC2Z9piUvwnmUXQK4Xv6Y123NpbpX81nXiIuJZzHj3PfplCU1Lg44tFAS+uzD62SxvQd1oTEM1NoZ1kLmzb9+HlfMNqmtSiX/IjHL5SoVqcun25JkwaDFzKta/b7/H/guxYtbW1tLC3znm35+voycfIU7t65Q+8eXdP7RiXx25/7WLR0WYETIQrD+bNnOHbkMHbNmtN/4KBCx3F3cwMoVEZjmfSOt4Vh9LjxREVGcurE8UJdnxO9+/Zj5Zq1eHl6MKhf3y/MUQvKu3fvmDR+LPYOjiSlNybMjZIlS2JbQOEX+JZICTq+Eo+MPSb1spjadWPEgt84sXccJrFXOHHpZXoigQgVlZyzaD8tRigjzjglVU4qInJaqEjN8g+RkhK5r2UooWszi19Wt0d+ah7LzqWPRSZDjip1B65l7cZNn75cdrN7zyb61y6qpZmUsPuBvFephkmNz2OpUWfUQS5fPsDKyT0w1wrnny1T6e00kD2P0+5ZSem/4Yf4XYsWQBMbmzxTvxMSEihnYEDDRtb4eHnRsJE1F698fSf4DKJfvGDmjGmULFWK1es2FCnBw93NlUqVKxdq301PT79QMy2Axk1sqGduwbYtmxWu9VKEnr37smrteny8vRjYtzdxcXH5X5QDMpmMSePGkJSUxIDBQ3j8OHdjZQAHR8dv6okoUHBSw/7ml79ffpHhplbREH1lUZa/o1RiHwYRkflrKeedvz/PxMbUqPblc0FsYExlzXcE3w8l66rYez8/HqdWpLKRDlWq6CMLDSQky8LCjpH9WPzXc9JeRhnTtj1p0Ws+PzmkcHrhQi68lKNU2ohKpeREx2lh3bIVLdK/7GqWAokOOppFe5zK31zlj2NBaDTthL1+9ljymFsc2eiCh8iOnpOWseXIDTwuzcLyozsX75aisp6MsKCgLJmVydzbOpzBC05xJuLfLHwrfr570SpRogQtW+UtQA8ePGD85Cno6OjwLDwcsdK3MUXN6nqxfOVqypYrV+hYqampeLi5FShrMCsZzfgKQ1rbkvGEhYZy6cL5QsXIjR69erNm/UZu3fRhYN/efMjSFkJR1q9ZxY3r11i6YjWurq55nlurVi1q1jQp7HAFvgnK1Og1nOtLh7HogBfPPsoBGe+fuPLLbBc8tVrS1Uk/8+GU4rubBds8eJmUzFvfP5m7/gqqLXvTrlwOHxC1WtKtgwHBv89mw9VnJCIj9v6fzFtzCZlVVzqYalK/a2eMIg6xcsN1IpNA+sqHXZeeolSuDNmeHEoV6DR/Fi2STrF48RleSmzp2rkK0YfmMO/QfWKlkBhxlfXj+jBs/DbuJICSmgQVkngfG5dnyrn8/XMC7vnid8+Xe7c9+OfwBqb3Gc+xuMZMmtmdcp89mZUkMfjsWcXC5X/yIFYGfCTifjAv5aUxNG5Gl07GRB5eyqYbESQh5dXNHazdcZFnSuUoW/r/yyT6u3F5z4sGDRoSFBhIeHjujs1urq6sWreBEUMG8dP0qWzbufurtw/IcL3o3KUrbdt3KFKs4KAgYmJeF1609PR59brw7hYOjk5UNTbGZdNGnNq2K9b3rluPnigpKTFl4ngG9u3FH/sOUqJECYWuPX/2DC6bNjJz1hwCAvxz7UgMoKGhgVObtsU1bIGviLhiTxY5/snGOc78Pl2MRALJiUqUrtuemb8sxbn8p6e2ck0zNA73w3p1MshUMLAbz4ZlXdBXOpZDmroWzWbtZO77Cawd0IjtKsqkpihTrvFw1q0bSXUx0GAKmxZHM2lJH2y3ilGSptB6wTkmNlTj84Diij2Y99NZOs6az1IHa9bP2MGit+NZMd2eozNUEMukqBi2YpLLQhx0AKkFDeqIWDfDErO/FvJg/+Ac7z/hxhK63kj7t0isilbpStS0HsSGTeNpXyMHH08te6YuG8Kj6XNobzYfdRUZifLSNBi+mqktdCnbeBsLXo5heb8G7BArIU1RpbLTXDZOaUS9/7M9re/KMDcv3rx5w84d25FKc0+F0dHVRS6VsnbVCpYsX0m/AXk3cysKD0OCae/kgG7p0ly4fDXP7sKK8MuunSxeMI/bfg8oXbrgWUe7d+5gycL5BIc9RSKR5H9BDhw+eIAZUyezZ/9B7Jo1L1SMvDh5/BiTJ4zD3MKCP/YdzLfFQ1BgIM4d2tHE1hantu0JDg7K8/xu3btjUswtawS+LvL4aEJDnhCTKEa7QnVqGJbM8kk6npPD6jAjcTE+vzry+v5j4nWNMTHSJX97ZjnxUcEEhsehZlADE8OSfDHfiI8iKOAJ71UMaFgv77rQz0l8GUzg4xhkmobUMDVEO2vwpJeE+IXyvkRV6psUc2F70iseBYbyOlmd8tVrU1kn+7wjPiqQwKfvUClvSq3KJX+MWUkB+WFEC8DHx4dLFy/keY6paS1OHT+Kt5cnh46dwNwiby/DwpCcnIxzh7b4P3jA/sNHFW5fnxdDBvYnKjKC839fKdT1p06eYOLY0bj73KJChYqFipGcnEzTxg2pUsWIQ8dOFCpGfpw6eYJJ48ZgVs+cPfsP5ir2r1+/wrlDO2RSGctWrcHNLZ9lwdq16dKl69cYssC/xifRurm3L0X7WCjw/8J3v6eVlQYNGlCpUt6fiAIDAxgyfAR6+mUZOnAAz8KfFvs4Mlwvhg4fUSyCJZVK8fb0KPTSIIBeeoFxYfe1IK0L8vCRo/H28uT2zZuFjpMXnTo7s2nLNu773aNfrx68y6FpY0JCPMMGDeRldDRLV67C3d0tz5gaGho4ObX5KuMVEBD4vvihREskEtGhY8d8M8Pc3NyYt2gxKdIUBvbrQ2weRagFJcP1olr1GkyfOatYYt7z9eXjx48Frs/Kyif/wcLva0FaqnrJUqXY4rKpSHHyokOnzmzeuh3/B/fp07N7tp9PWqbgWHzv3mHFmnXcuXOH/BYD2rRpi4YCrdUFfjQ0aL/Zl1s7ewqzLIFMfijRgrSeW44KfKr28fZm4ZJlPAsPZ/iQQcVi4vrhwwemTBiPsrIyGzZvKbZ2Jh5urojFYhpZNy50DL0y6TOtQrhiZEVTU5NBQ4Zy5fLfBAYEFClWXrTr0JEt23cSFBhAn57dePvmDQBLFy3g4oXz/Dx3PuHh4ZkdZnPDzMwM01q1vto4Bf5dlNW10db4f9yZESgsP5xoAZibm2Nubp7vef7+/syat4CbPt5MnzIpz8wzRVgwdzbPnz9j8rTp1Klbt0ixsuLu5oqFpRWampqFjlGyVCmUlZUL7D+YEwMHD0FNLa1D9NekTbv2uGzfSXBQEH16dsNl4wZ+3b2LgYOHIpPJ8k2P1y9bljZt233VMQoICHxf/JCiBeDo1EahuqiIiAjGT57K6VMnWb5kUb5LTblx7sxpjh05jGX9+owaM65QMXIiISGe27duFrmvl0gkSqvVKuJMC0BXtzS9+/bl9F+nePrkSZHj5UWbtu3YunM3wcHBrFm1gtYODlSsVJk36TOv3JBI7Zw3mwAAFfBJREFUJHTr1l0oIhYQ+I/xw4qWiooK3bp1V2gvIyEhgf4DB7Nrx3amTZ5YYI+96Bcv+Pmn6WhoaLB+o0uxGu/eunmTlJSUIiVhZFCmjF6REjGyMmzkKJSUlNi+1aVY4uXFh/fvkctk1Kxpgq1dc6KjX+R5vkgkwrlLF3R1db/62AQEBL4v0kXrLefndqLr1EM8z+b48Y6/FzjTuUNP1nlm3xOS3t/OyE4D2LR7EePOFM6eR2HiL7Kkc0e6dV7AP1m2OHR0dOjVu7dCHX4l6uqMGjueY0cOM7BfH4UbH2Z1vZi/aAmVq1Qp7F3kiLurK2pq6sWSmq+nr8/LYphpAVSoUJHOXbpy9PAhol/kLSJF4ZddO5k2eSL2jk707Nef58+f53tN27btqFat+lcbk4CAwPdLumiVoEqpeO6dvcitrPrz0Z1zJ/x4GOTOqfN3s/hayYhwPcuVEGXKqj3h7fuv7H0vfUPYPV/87oXx5jMbLQODCnTt2k2xMDIZM2bNwcfLk66dOvD8+bN8r8lwvWjt4ECPXr0LM/o8cXdzpZG1Naqq+ZdL5oeeXvHNtABGjUnrwLx75/Zii5lBamoqa1evZPGCeQwaMowGjayJjIjI97qmTe2wsCz+2jsBAYEfg3TRUsbY1poKCX7c9kvKPJh4+yreiQ3p06M6L9yvEZypTe/wuRmAsnkzrNXTvaCS3/Is0J+HUXHkas8oiyMyxJ+ARy9z7BKKLI4A/0e8LGC3zeo1atCxU2eFzn3z5g1zFiwi+kUUzu3b4nfPN9dzH4YEs3zJYnR1S7Ni9dpit4V6FxvLfb97xbI0CGkzrdevXhdLLIDqNWpi7+DI3j17irVsQC6XM2/OLDZvWM/sefPRK1uWlwqIbf369bFr1qzYxiEgIPDjkbmnpWpmS0PdaO7eSm/fTDIPrrrzpnYzerWzodxjV248SZejxFv43JVi2tSO0krw1nMFPRvXo2nrVtg3MKPV0F3czyY8Up6dX0hv6zrYtGhF22bmNGg6iK1er9NNJT8db+tgi7V5E0a4eBJTgGQ/MzMzOikoXBEREcyYNQeJRI0eXZw5mUNLjuTkZCamO4uvXLOOMukp5cWJh4c7QJHqs7Kip6dHQkJ8kduAZGX0uAkkJMTz+6+/FEu89+/fM2bkcI4cPMjGLduIT0jMs5ljBlZW9XHMp5u1gIDA/z+fEjHUG2FjpU7o7VvEygFpCNfdIqnWtDmVLZrTSCcQt+tRyIFkfy/uvDfGxs4QMXD/WggNVlzF73EIl9Y6IP17FS5nPz2Ikh9sZvzEfXx0WMtfd8MI8j3H3PphbB45g5NR8mzHA0Pvc3JBA8I2DGf28ag8nZI/p66ZGZ07Oyt07tOnTxkxZhwWlpZMGjeGmdOnkpilJmj9mtUE+PvTo1cf7B0dCzAKxfFwc6WUjg61atculnh6ehkFxsW3RGhpZUUj68b89uvuIovhfb97tHNszYP799nxy688fPhQIdd3K6v6OLURBEtAQCBb9qA21jb14MFNfJNA9vQq7mGVsG1WFWX1hjRtqMb9Gzd4I5cR5X2T5+WbYFsjLQGiep+5TLI3RltVmxqd+9GifBJPw8LTZ2xJ3DqwH3+DASyc35W6+hqo6ZnTc+FUWkn/4dCZsGzH1dX0MOu9mEn2Uq4eOE1EAUur6tSti7NzF4XODQ9/StPmLRg7YSIH9++jU/s2PHr0EB9vL7Zt2UxFw0rMW7ioYAMoAO5urjRuYoOSUvEkcWa6YhRTMkYGo8eN511sLPv3/lmo61NTU/njt1/o0rE9tWvXYemKVbi7uytU8F2/fgNBsAQEBDLJknanhJ6tLTWWHOd2UBK1fK8TpGfDtNqqgDKN7erDMnduxjsRdzOIktYTMEvPHShb0fBTIJE66hJITkpOmyXJ3xAS8oKUp78zxOpAlm6hUuI/pKAb+oCQ0C+PS+M/kKIbytMUKGhLxNp16gBwQoFOvG/evEFZWZnV6zayYuli2js6oK6uhkgkYsNmF7S0tAr46orxIiqKsNBQhgwbUWwxv8ZMC6BZ8xaY1qrFrh3bGDBocIFc5N+9e8dPUyfzz+W/mTV3HppaJXB1vaHQtQ0aNsTBwVEQLAEBgUyy5YqLK9tiXXEDvrdDMXK/h2bj4ZhLAJTQbWpHnYTdeN3yIuGeMvXnNUSdtPYzYnFeKedSpHJQNRvMionWn7UUEKFWrgz+c3M+LlIzwFQFSKLAFES4pFIpwSHBzJg1m0P793Hn9i1MTEypXqNmwV9YQdzTXcuLKwkDoIxe8Vg5fY5IJGL02PFMGDua40eP0LtvP4Wu8/byZOqkiSgpidj9+x78/PyIiIxS6NqGjRphb+8gCJaAgEA2sq9LqdamSSNdQm7uxf2eMg2aWZNRuqtU3g6b6q+4f+ocd+ItaGqjWBM/lEpjVLkU8ugPaDX+1KK6RbOalERCqdKGORxvTo2SICmlS1E6WNeuU4eevXop7Jrw8OFD7J3aMHrcBEJCgmndzJa/Tp4otItGXri7uVLewIAqRkbFFlNTUxM1NXVeFYOV0+e0bd8Bw0qV2LZlc549zQCiIiMZP2YUPbs6Y2lpyeJlK3Fzc1O4Nq5Fi5aCYAkICOTIZ5KghpVtA+TXDnM5zhK7rMIkNsLW1pCQM+d4ZmqHra6iaqJBk+7OVH5xiAWzD/LgrRQSn3N9zVgGDRrLrjtkOy4lkYhrq5jUfwCTdtymqDa31avXYMDAgQr7+sXExCBPTWXl2g2UN6jAhLGjGdCnF08ePy7iSD6RmpqKu5srNrZNi/XBnGblVLy1WhkoKyszcvRYwp8+5dyZ0zmek5iYiMumjbRoaoOXpwfrN2/BqmEjXF1vKCT8SkpKdO7sjI2trSBYAgICOfKF8mg0tqWeLA6pWTNsSmc9rEqtZo0plZhMNdtmlC+Ak5F645/YvLQ9yhen0r5uFarXbMCgXVFYTd3KXEedbMdNqlTDtt8uXtSfzsb5TpQqhpssX96AwUOGol9WsS6iMpmM4OAgWjk4MnnadHy8vXBo2YzNG9YX2AIqJ8JCQ4l+8aJYlwYz0NPT+yozLYBuPXpSpkwZtrpsyiZCqampXL50EfsWdqxZuZxOXbowe/5C/P39efYs/wJuSOuJ1bdfv2I1IhYQEPj/49t2Lk58ycOAMGJkWlSsaUpFbfEXx33uPkHT0ASTitpftscuIikpKZw/dxY/P78CXaevr4/r9Wu4Xr9G5SpVmDh5Kh07OytkH5UTe37/jXmzf8bnzj2FhVRRRg4dTGRkJKfPXyzWuBlsddnEquXL+PWPP2nZ2h4vTw82rluLp4c7FQ0rMX7SZJ49e1agVjAGBhXo1r072traX2XMAgIC/z98W9H6DkhNTeXOnTtcvHC+wK1KSpQowV/HjxEa+ojKVaowYdIUOjl3KbB4jRo2hEePHnH5mmJZdAVhzs8/cfnvS3jdulvssSGtOLhJA0vKG1RAV1cXby9PNDU16dt/IKULMcuzsqqPvYNDoT8ACAgI/Lf4zz0pRCIRVlZWGBoacvqvU0RFKZbNBmlNIFs7taGPnh4ebq5MnTSBTRvWFUi8ZDIZHh7uOHdRzC+xoOjp6fP61StSU1OLfV8oNTWVB/f9KFFCm4chwZQ3MGD6zFkoq6jw6tWrAgmWlpYW7dq3p3r1GsU6RgEBgf9v/nOilYG+vj6DhwzFy9OT69evIZPl6piYDZlMRtSLF1SraYJTuw4EBweyaME8Nm1YR7fuPXFs04bqNWrmKhgB/g94/+5dkftn5UYZPT2kUinvYmMppaNTLDFjYl5z8fx5jh05zO1bN6nfoCFDRowkOTlZIQumz6lnbo69vUOxdX4WEBD47/CfFS1Iy1ZrYmNDjRo1+Ouvv4iMzN9lPIOMZA2xWJllK1cT+/Ytf/z2K2tXr6SKkREOTm1wdGqLhaVlNscLdzdXRCIRjawbf41byuaKURTRevMmhovnz3P29F94uLshEono2NmZfgMH8fTpU6Kjowscs0SJErRr34Fq1aoVelwCAgL/bf5ze1q5IZfL8fb24trVqwrPuj7H2NgYiUTCyWNHcXO9gVwuR09fH3sHR5o2a06TJjaMGz2S9+/fc+rs+WK+gzTu3rmNc4d27D90pEBGvHK5nOCgILw83bly+TLubq7I5XJ0dHTp0as3JrVq8/BhSKGzJ4XZlYCAQHEgiNZnxMTEcOH8eR4/Dit0DE1NTYyNjYmLi8Pb04OrV/7hfXphrUgkop65BVOmz6BBw4aoq+ffebkgPH/+DNtGDdjgspXOeXgwymQyAgMC8PbyxMvDHR8fb97FxgJQ08SEVq3tMa5ek4TEhCLVqKXNrtoLTRsFBASKhS9ES/Z0HzMm7OVRFtMDkUiEWFKCMlUscRw4gs5mOl8WeOWKjJdef7D990v4v5SibdSQdoNH0LFOqfQYcmLcfmHbpadZ+nApU8lxAgNtdAvwOsVHamoqQUGBXLp4USEX8rzQ1NSkevXqpKSk4HbjOufOniEhPh4AFRUV6plbYFavHnXN6lGnbl2qGldDLC58sn9iYiImxlWYPW8Bw0eOyryfyMgI7vv58eC+Hw/8/Lh962bmvUkkEprY2NKkqR36ZcsSFRXF62Ko9TI3N6e1MLsSEBAoRr4QLWngGjo7bUDaeSbdamfYH8lJfveUW6ePcu2lKVOPHGVsXcVMU2OvzqLrsIPIbXrR0aok0W6HOOFXjjEHjzPRQg1I4uq0Rgw7kUQZHbV0w1wV6k08zrb+Ff8V0cogOTkZL09PvL29SEoqhAHiZygrK1O5ShVITSU09BE3rl4hJDg42znq6hrUqVuXeubm1K5TFzV19cxjSkpKlC5dGn39sujr66OsosKbmBhev37N69evMluHTJ4wDlvbppjWro2fry9+9+7x9u2bbK+jr1+WVvYOmNaujYaGBuHh4cSni2lRMTAwoHmLllStWrVY4gkICAhkkItobaLc6kB298hufSR/cYCRLafh134vN1a1IF/Zkj/jt552rFGazYX9wzAUA4neLLbvyplGe7ixpiUSWShbO7fgz1p/cm1ls9xjSuMIDImmjJEReuo5SVkiMY8f80qkh1GVMmlxkt/yLCyKJN0qVCijQY6XKUBiYiI3fXzw8vIsFvHKioaGBtra2kgkElLlct68eUNQgD/3/fyIiHhepNja2tqYmNbCxLQWhpUro6amhlQqIy7ug8I+gAWhQoUK2DVrRtWqxoINk4CAwFehQNmDSrpVqKgDrjFvkCHnpdvv7HWP/rJRo7g8NoMG0LhMebqs/QsrWSUqZKx4iURpy40q6S+dFEBgmDKmfermIlhJPDqxgFnLDuITmYBY24QOc7axvK8p6sRzZmxD1in1p9mzvey9+YoUVCnXcjYbRiSybco6rkcmgVgXHYsBbN0zk8YlC/YGAaipqdHUzo6GjRrx4MF97ty+XajsuZyIj4//YoZTxbgajZrYoKOjg0iUVWlTkctTSU5OIv7jR6RSKZpaWkgkEsRiZdJ0Ik0sRCJISZHy4kUUb9++Lbbxfo6amhq1atWmrpkZFStWFMRKQEDgq6K4aMnf8WDfds6Fq2LW3xwJcp75nmbfHwGkfBG1Dtqd+9O4jDIlK9XFDJC/9uXCxeu4n9rLKWkb5gxrggSQPnrAw48aaFwahf2KW0Rr1MVp1Hxm97ekpBIk313PxGmHoftagudacG3FSCbPm4Kx5WnGm4I0KZ7Hl/ZRcfp2rh+wQnZxGr0nLGFgQENGrr7BFmtlfJb2ZcW+nWw/PYTG/fQL/WZJJBKsrOpjaWlFZGQkN2/68OD+/ULHyw2pVEpERAQREQqk4H8Fc1xFqFy5Cg0aNKBa9eqCm4WAgMA3I5enTQoey1vSbGPGp2Y5iW+jeflBFeNOS1g8yBgxUHPcCW6PU+yFkgPOsfeYO9GPY1EtKyE+Ng45pYgLCOSpNJ6K6nZM2fETr07MYe3c/rwSn2N3v3LcPnqcYP2e7FnQBYkaOM5czE/KV9GWfcoUERt1Z9JIGwxUAac2WJU4yW2nKYxtWRkJYNPOhsZXwvCOjAIKL1oZiEQiKlSoQIUKztjZNcPNzZX7fn5fpYXJ94aRkRFN7eyoVKnyvz0UAQGB/yC5iJYY4zYTGWypQmryC24f3sWRtyYM3v07sx3LpxvZynntc4ij3i/5oqpJXJZGPXtQP4tLvJrdLPbaAR/92T28O0vGqGN8dRWN7eeyZ38chjYWlBMDDXfBUzsW/XmIkB6DCQ2LQql6HWpnJKBpNmLg/Ebp/0lbVlMqb4hh5p1IkKgqUbqsfubNiVRUUVUBuaxgXoOKoKurS8eOnWja1I6AAH8eh4URHh5eYF/D75ly5cphVLUqJiYmVKhQ8d8ejoCAwH+YXERLibLmnejSLS0Ro2uXVhgN7MrKmTMwMtpN/xoSQM5rj71s2ZzD8qBKXUT23alfGkCOXK5EpimEZm369LVj0xgfPEOkNDWvTgO7rC+tT+1a5eDkC6JkQCqIlJTIc6dEWQXVz5IsvvXWio6ODjY2ttjY2JKSkkJ4+FPCQsMIDQstlvTxb4lEIqFa9epUr14DIyMjhXuRCQgICHxtFNuMUKvF0A3L8OswjsUjl2B8ajFNtJUxmXSW+5PyuC7pOgtaD8fD8QBn5lihCoCcuDexpIg0KVEiGfdlzix92I51u0ZhogzI3xH6+BWicoYYqmqjWkUfmXsgIclQXxVIvsuO8Wt52W4FszrqFvkN+BqoqKhgbFwNY+Nq2JPmjB4WGkpYWCiPHz8mISHh3x5iNkQiEeXLG1C5cmWMq1XD0NCwSLViAgICAl8LhXfQlcp3Yt6iK9wZ9RuzV7Tk5LIW5JuIJzHD2lKDP/cvwaX5VsY10eGN1y/M3uSGqu1S2lVRo4SZIa93bGHZdjNWj7Dm8W/T2HhVFbvlXakqlmDYtTNGh/exckNLjkypxa1dK9l1KQLnoWUQf5m3+F2ira2NuYUF5hYWpKam8uLFCx4/DiMqKoqX0dHExMR88/Holy1L2bJlqVSpMoaGhqiqqn7TMQgICAgUhgKkfSmh5zSP+d29Gb1vJstbnGeFfX4zHR0cFuxg2vsJbO5lyVaxGKlMlUqtprBtTX8qiZWg7SI2TprA9PVdsV4tBmUDmk/eyaqelRAD4gZT2LQ4mklL+lBji5wU1So4zt7KxIZqZOxp/UikzWrKU758+czvpaSk8Pr1a+LiPhD/MS0F/mP8R+I/fuTjx4/EffzIx7g4pFJpHpHTio/VNTTQ1NBEQ1MDTQ0NNDW10NTSRFNDE00tLfT09ASHCgEBgR+Wb+Q9KONd+ANCIpPQqJhzV2Lpu6cEhURSskZDDEvmsDQVH4X3/WjKm9ShUkkhxVpAQEDgv4hgmCsgICAg8MPwb1r7CQgICAgIFAhBtAQEBAQEfhgE0RIQEBAQ+GEQREtAQEBA4IdBEC0BAQEBgR8GQbQEBAQEBH4YBNESEBAQEPhhEERLQEBAQOCH4X96Atd2eSAcWgAAAABJRU5ErkJggg==)
physics-General
chemistry-
In a mixture of A and B, components show negative deviation when -
In a mixture of A and B, components show negative deviation when -
chemistry-General
physics-
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The speed of the bicycle is
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)
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The speed of the bicycle is
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)
physics-General
physics-
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The power delivered by the cyclist is equal to
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)
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. The power delivered by the cyclist is equal to
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1YVi12u7iaZ1oV2XcrjeCgQAJatUYsfnB5Tq/XExkTg1wqQyaVIlfIkUok+c4X+Q4Y6emMGD6EEaNGc/REIGPGjePrLz5j9fJltGvXDrcaNcpkh9Fo5NDBAxw4sP+BoGaBwqjPzePl/mNY/I8jfd7+iTU7f2H1rHE0jNvIW8NeYsklLWAgPeIil8NTqeinKZI4UsPdGdl/5g4h8KTw1H8lTSYTf/z+O4cPHSrzk7yHhwd2trZ8/N47nD97hsXLVrB242Zq1a7zQN+mzZrTqXMXNm/cSHpaWlWbj4uzWbRSqli0MjMyuHL5Eh07dS6yfe/Bw/mBynbY2yuQy2UYDAZUKk2Bm7u9vYKabm4AiMUS3prxLn8cD8TT05MJY8cQFnKFTp06l9mD8uI///Dztm3o9foqu86niuyzzH/3R656vcOGXfOZMqIXbQJa03HQG8zZvIiR9udYPGsLMYWUKoeM6DBCbyagLkLB9GlR3LhyiSshN7mjudfBps0b/LTkLTor/n1EDpkxYYTeSEBdsVBGAYFK8VSLlsFgYPfuXZw+farMx/j4+LJ5/ToW/vQjo55/gaPHg+g/cFCJe1aTpk5Dp9Oyfu2aqjC7EHZiMXK5vMqXB0+dOonJZKJDEaJlMpm4dDkEhUyOVCrFXqHAXqFArVaj0WrIUqlJTU9nUP++Dxxbq1Ztlq1aw6at27l88SJTXn8VHx8fatSsWSa7IiLC2bB+HSqVqtLX+LShPb6JPRGO9Jn0Kv7/DolTdmPynHnMnNwFRf5X1Zh2kh+GtaFN++7069aSNl3HsfayOSOLIfYgM0e0pkWztvTu8ywDn+1Mu6ZteOmn02QCur1v0LLxGLalAmjZP9mPbtN+YM7INrRu151+3VvSpss41oVoH+InICDwFIuWwWBg544dhIWGlqm/RCLBvWZNPn7/HVRqFdt37+GrmbNQKB541HyA9h060rxFS9asXlktBSBdXF1JrmJHjOCgQKRSKc2aN3+g7UTQSYwmE2I7O+QyGRKptFBlYo1Wi6WlJf5NindZ79SlC5u378RgMDBt0uvERUfRMiCgTLbduXOHjRvWF5vR/r9JHuEXr5Bu7U/rNkXFuFni2WkEz3VpiH3+rzrv8jFutp3D4bBoLv85j565v/Hj/ANkGFPY//W7rI1rzZdHwrgVF82NK3/y40BbTi38if1JRjDo0en05JnM06k8vZboXzdyqe0PHAqN5OJv39NN/xs/zttP+sP7EAQEnk7RuitYN2/eKFN/T89axETe5qvPP6Vd+w4c/O0P2rRtV+bziUQiJk+dTlZmJls2bayo2cXi4uJa5TOtk4GBtG3foch8hyeCT6KQSpFKJNjb26NUOqDV6tBoNajUGtIzMujaqUOJ45tMJj7/5CN0Oh0DBw1m966dLFu0kO7du2Nra1uqfWlpaYJwFcJAVqYKxA44FJ145AGsGr7Ah2/3pr7CBkWjITzfyx19VDgxRjEtJsxlyaIvGNZYiRU22Dg25pm+rXA0pJGSVvS6n4XXKN6f3gsvezscmoxgZDcXdNG3iXs4ZeUEBICnULTy8vLKJVg+Pr6sX7OSX/f8wvsffczajZtxcnIu93l7PvMMDRo2YuXypVW+J+Ps4kJKStXtaSUmJBAefotOnR90db92/SYarRaJVIJMZnZxt7S0RKVSoVKpUalUZGdn07N71xLP8cuunRw+eAA//6b8uGARh347irW1Na9PGE+DBg1wd/co1c709HRBuAqwRCaXQrYGbRlFwsLNE8+CZxIRdmJbyNGTY5RSu2UAblE/8+2MVxk39Bn6d/Kj1YTtJJlMFJd206KGJx73jSeVShDl5SFolsDD5KkSrfIIloWFBZ6ennz03gx0Oh3bd+/hjclTK5Qf8O54k6dOI+nOHXbv3FGhMYqjqmdaJ4ODAOjYqdMDbfvzg4nFdmIcHBxQKpVk67JRa8xLg1lqFU39m5T4OcXGxvDZxx9ia2vLvIWLsLa2xt3Dg207d/PimLG8OWUS8fGxNGzYsFRbBeG6ixX1GjdCknudkNCiqlIbST0yh3e/2MDfGfmqY2lZdPYA4x0OvtOf4TNWcSpNSr0OQxg86TvWzBmOW0lff4vixivvtQgIVJynRrTy8vLYsWM7t27dLLWvlZUVttbWfPHJR7QMaMXB3/6gVes2lbZhwKDBeNaqzdLFC8nLq7rnTxdXF1JSUqrMHTw4KBBnZ2caNvIp9H5ySiopaWn3goklUuzsbApyDKo1GjIzsxgycECxYxuNRt55czpqtZoPP/mUBg3uCZO1tTXvf/Qxq9auZ+O6tfz5+280KUMCXUG4zCi6DqanYzQHNh4h+d9CkXeTHUuX8cufEZjEJf+sjSmH2PJrPH5v7+LXtT/x2TuTeO1/ffHOSyXLaEQIlxN4nHkqROvuHlb4rVul9rW1tSUtNYWF8+fx3NBhrN+8tVDcVWWwsrLi9UmTiY6K4uD+fVUyJphnWiaTibQqcKk3mUwEBwXSoWOnBzwid/+6F7GdnXmWZW+Pg4M9OfpcswOGSk2WWk3tWp5IpcWnXVq9cgWnT52kU+cujBk7vsg+vXo/y6atPxMcFMi61avwb9q0VLvvCldZU0U9lTj0YfqM7uT9+i6vfLieU9EaDBjRxgSxdvoEfvrHiYHvvkHLUrYMLaztsLMykXLrKvF6QBtNzImFvD//BDqTnuxsYeok8PjyxIuWyWTi0MEDZZphicVirl65zPatW5j21tvMW7CoTE4B5WH4yFG4uLiwZNGCKsvw4OJqzopRFbFatyMiSExIoGPnwq7uer2eqOjYgmBihVyOJD+YWHU3m3taGiOGPFfs2NevhTHn25ko7O35Yd78EpcQW7dpy8+79hAbE8P3s2bi7+9fqu3p6en8vG0rOTlFLY/9F7Ck7otLWf/dAKz/+Jz/tffGp35d/NuNYM55N15YuJVvB7qV/qNWDmTy9A7o90yka6O6NPTpRM/pv1HjtUl0sEvgWmjVxxsKCFQVT3wRyMDAExw/dqzUflKZjKOHDxEWFsrs7+cyYtToarNp2ZJFzJ75DWvWb6RHr2cqPV7IlSsM6PMMG7Zso0vXbpUaa+P6dXz60QcEnj5LrVq1C97f+cuvXAoJxd3NFU8PD+rUroVUKiMuLo74hARi4uLR5+j55P13ihxXr9fz3IC+hIWGsmDxUgY9N6RM9tyOiODF0SNRqbL45IuvuHGj9P1I7wYNGDlyVIX3H58KjBru3LxGVGoOVo51adSwJtJyfhzZd65x9XYGVi4NqV3LEWXlqugICDwUnuhf/dWrV8smWFIpB/bu4caN6yxZtrJaBQvghZdeRqFQsGjh/CqZbbnkJ82tCmeM4KBAatepU0iwTCYTFy+HoJDJzMHE9vYoCoKJtWSp1KSlpTGwX59ix/1p7g+EhYYyaPBzZRYsgHr167Nzz15cXd349KMP8PX1LfWYWzdv8vvvv5X5HE8lFlLcGgXQpkN7WvqUX7AA7Nx8CGjXjmZegmAJPDk8saKVnJzM/n17S+1nZ2fHmZMniYyIwGg0smD+PDLSqzccUi6XM2bceC6cP8/ZM6crPZ6jk3nPrbIBxkajkVMngx9I3RQYdKpQMLFUIsVovBtMrEGj1WJhaUEz/6IT4Z47e4alixfiVqMGX8+aXW67arq7s2XHLpydnJn11Zdl8io8d/YsISEh5T6XgIDAk80TKVp6vZ6dO7aTm5tbYj8bGxsiI8I5fSqYBYuXsnLtem7euM7/Rg2vljyB9zN+wqvY2YlZsnBBpceytrbG0dGp0ntaoVdDyMzIeEC0jgUHFwQTKx2UODjYo9PdDSZWk56RTueORQcTq9Vq3po2FYC58xZUuOaXq6sr6zZtJidHz/Ili6hdu3apx+zft5ekash+LyDw0DEms+/DgQzu37fI1/AvjlD+XDtG7uz7iAMfj+LTXwvfO3S3DrJgxhieHzqMcdNmsetyRqHIhZLaDTfXMW1wP16Zd/rBKgJ5l1jxyiAmrwkrt7Vl5YkUrYMHD5CamlpiH0tLS3Kydezf+ysff/YF/QYMpHuPnqxcu55bN2/yv1HDSUsreYzK4OjoxPMvvMDxY38RcuVypcdzcXWp9PJgcGAgAO07dix479qNm2g194KJxRJxfjCx2vxSq9DpsunVo+i9tK8+/4zYmGjGvTKh2LpcZaVBw0asWLOOqMhIDu3fV7AsWhx3wxz+u44ZAk8POSTfukiIqja9Bj/HwH+9BrSrU86KvQbu/DWT199by4frT3Ir+d5vxBC9lTdHTmTDTUcCOgfgErOdD0a+wOJL2aW2ZwMmTTzXLl7g6Px3mRv0rzAUg4rYq/9wLb76clI+cZWLQ0NDuVrKspBIJELpYM/smd8wZux4Jrw2saCta7furF6/kQljx/D8iGFs2b6zQhkwysKrE99g4/p1LFm0kCXLV1ZqLBcXV5IqOdMKDgrEt3HjQtd74NARZDJzMLHSQYnSwYHs7Oz88iNqsrJU+DdpjJWl5QPj/XbkMNu3bcHbuwHvf/hxpWy7S/sOHflh3nzenDqZGjVrUqde/RLd3NPT0vjrz6M82+fB5L0CAk8aFjXbMmrCeFwrMZ0wZoSwZ/7nfLc+hDyJJRaFfrrZnFk+j6M2o1i56Qe6K4BJQ6gzsj/LF+zl+ZWDuFFCu/t3wxkMgB1yuyg2fTiLbvtm07Vqi6qXyBM101Kr1Rw6eKDUfg28G/DdrJn06t2bz7/6+oF4pM5durJm/SYiIyN5fsTwKk2RdD/uHh4MHT6Cg/v3lSmGrCRcXCuXFSMnJ4ezZ84UWhpMTkkhOSUVmSQ/ZZNUgq2tLSqVGk3+flZGVhZDnxv4wHgpKcl88M4MLC0tmbdwEXbiMibEKwPPDR3GO+9/yC+7doLJVKqX4Llz54iKiqyy8ws8puQkcnrbfkL/q3mjjEmcXDuHH777tojXHDaeNN/H9Ed/5Ntj9jy/bC+fdpHQWXLf/S8nlMCTCTh3HUiHu7nAbRsyqK8f2af+5GxWye3HT+vM74kc6fvWJBonbuKzmb+T/hBD+54Y0TLHYx1Ep9OV2M/b25vZM7+mQcNGLFi8FMsiZggAHTt3Zu36jURFRTJ6+LBqKbII8PqkKQAsX7q4UuO4uLpWSlz/ufA32dk6Ot6Xb3D33gOIxWLs7OxQOtjjYG9PTk4OGo15LytLpaKWhzsyaeGs4iaTiQ/enUFaWipvzngX/6bNKmxXcUyeOo0Ro0Yz/8cfaNCgQan99+3dKywTPtUYubN5Ci9/c5iYp1m08jSkJd0h6c59r5QscgCMqVzcv4EN69cV8drAwUvmMtO2z/7EX0fX8GbvWtgAhR7ZDTFEx4Nn3br3LbNZ4lLbE7E2hqi4qBLbY6MSC9619p3CrKnNSd3+Md/+nvzQsnk9MaJ1NSSE69evldjH0dGJPbt2otFqWLxsORJJUSUc7tGhU2fWbdxMbEwMo4cNIenOnao0GYD6Xl70GzCQ3Tt3EB8XV+FxnJ1dyEhPr/CNOTgoEEtLy4Ls9Xq9nqioaORSqbkysUxxXzCxCrXaXDOrqGDi7du28Mdvv9EyIIA3Jk+p8DWVhEgk4utZs2nWvAVzZn1D/fpeJfbPyMjgz6NHq8WWJxJdEuFh14nLLOb7Ulq7QU38jauE3kqiuMfE7OTbhCdqSr5ZlXYefRox1688UISyqHMYDCae6KDSMpB7eiZ9AprRpuW9V7u+MzmnB6x8mbQrhMuh14t4hbD1DfPDnYVMUXzF6VwN2hwQSyWFxEwkFmOHDq2q5Had9v69KmuavP49U1uls/vTrziS9HBk64nY01KpVBw+fKjEPlZWVqizMjl96iSzv59Lg4aNyjR2+w4dWb95C2NffIHRI4aydfuuMpeJLyuTpkzj4P59rFy+lM+/+qZCY7jmZ8VITUmhprt7uY8PDgykRcsApPmzpn2HjhRUJnZwsEdWUJlYbZ5paTXYy+V4eBQu3hgdFcWXn32KWCzhx/mLiixtUlXY2cHgfwwAACAASURBVNmxbOVqBvbtzaEDe2nXoRPpJYQrnD9/Dh9fX+rWrVttNj1K1DvH0+EzEV+eW82Q/Ocx/YmPePb1q4zau5s3PPYzvd1MTC/0J2HzSs6l5IFdTdqPm83cD5/FPefXYtv92/jxfm8PLMkj5tBM3vtsLafjszFhgax+byZ9/wOvt3PGQrebya3noO3mSci+IJJFPkze8wfvNr/ve6Ar/jxzP3wWd0tzEcrf16zmm42niNWab3YiOw86TV3MoonxfFToHI14eUJNfll1mpxcEVP9jtN//jnm9bd7BH+F6sW6zYf8snAYyvsUQ2Qlw8kWMCZzbvvPnE0uKgepJa7tRjOidSn789a22FhAtqGwwJgMRoxYYmFjU3K7xb9Wrmx8eeXbdzk2+Cu+/KInLX+sHv+A+3nsZ1omk4mDBw+QnZ1dYr969eqxZNEC+g8cxKjn/1euc7Rt154NW7aSmJDAqOFDSExIqIzJD+Dn70/Xbt3ZunkzqakpFRrDxcUsWhWJ1VKr1Vz850JB6qa7lYnlctl9lYnl9yoTZ6lITU2jf99nC41jMBh4a9oUtFotn37xJXXr1avQtZSHGjVrsnTlak4GBZGcmFjscu9d9u399aldJjTm5ZKtyyXv/umGQY9Ol02eEcCAXhPD/tXH8f70MOdC/+bn9/yJWjmdT36OxVhC+5q3PmBHnJGckIVMnb4ZTe+57P0ngmsXD/JpqwgWTnyPPQlGwECOJpLAS7X5KvA6J3f9yEi/fz+4lGJHfhHKj1bHEvDNH1yMSvxXEcq8f51jHi+O/YQ5LzfBWtGZN9esYlK7pzQa2kaOq7snHh73Xu5uDtgCGFM4vWU+C3/6qYjXfH4+U4YwHgtnnBxFZKWmFJoh61NTUYmUOLu6lNiudH5QlKwavsLM9zqRvf9zvvw1udpnw4+9aEVFRXKzlNQ+3t4NmP3N13h61uLbOT884HhRFlq3acvGLT+TnJTEqOFDSIiPr6jJRTJp6jSys3WsXb2qQse7uJrdvysSq3X29CkMBkOBE0Zg8CkMRiMSOzH2cgXS+yoTq9RqNDodIgsRLZsXTmS7fOli/j5/ju49e/H8Cy9W6DoqQlpaGra2tqxbuxpvr5KXCTMzMzlx4vhDsuxxxJL6L83hi+F+uNh70PbVubzZw0DwrgPEGYpv72Y4wS8Hwjm/dQtX3cfw5efD8HeVYOfSnFFfzqBn3lF+3h+bfw4rGg1+hWdq2+Me0JI6RU62S7DDZC5COXvFEj4e0RgHKwoXoUw3PnCOBp6NaVpLjsjSCa82bWng9NjfuqoeK1+m7r3JtfDbRbxusnNK6UH5WPvi72NN5KWL3Kv1qeXKP6EYavvRxLlJie2N/YpyE7Sk/pjZvNctjyNfz+Z4ZvXK1mP9lzeZTJw4XvINSCqV8ufvR8jMzGDBkmUoFIoS+5dEQOvWbNjyMynJyYwaPqRSe1D/pk3bdgS0as2GtWtQqVTlPr4yM63goEDs7MQ0b9ESgONBJ1HIpIjFYuwd7LG3ty+oTKxWa0jLSKdzh/aFxrgaEsKP389BqXTkux9+rNCDQXnRaDR88O4MXhs/Fnt7B7p2787c77+jbt2SZ3hnTp+ukuTCTyQiOX4BfhSkgbZQ4u9XF2PkDcLzim9vUsdI5I1L3LiRSG7UOsYHNKGlf/6r43v8ocolJuKuh6YFLu4eJe8tlGiHuQhlS7codn3zNpNeeq6IIpRlOIdA+bFwptfwZ5AEzeeLTRdJ12uIPDiLb39Jo8mwETS1K7l9aLNiZriWdRk18xN6WkYTnfUfFq2oqEiio6NL7OPh4cFvRw7z2uuTaBkQUOlzBrRqxaZt20lLTWXU8CHExcWWflAZEIlETJ46jaysLDZvXF/u4+0dHLCysiIpqfw34+CgQNq2a4eNjQ3XbtxEo9EgleRnchebKxPfnWWpVCp0Wh29e/UoOD47O5s3p04mLy+Pb7//oWB/rTq5+M8F+vXuybYtmxk8ZCiHj/7FgkVL0WfruRZ2FRub4peHTCYThw8frrIs+48XhZ0RTAYTxvvfEFlhXeSdXmTeWC+2HRAZyTOCTdNxzJ6/gLkFryUsXbeJuS83LuhqaVmKnJRkR34RyiHPvcXakylI63cosghlqecQqAAWuAz8ku9ecePsp31o1aAh3V7biv6Zr/l+oi9WpbT7lPAnsaw1ii8+61+pGLOy8Nh+K0wmE8f++qvEPjVr1mTZ4oXUrVePN9+eUWXnbtEygE3btvPS86MYNXQIW3fuKpRgtqJ079kLH19fVq9YztjxE7CzK/tGsoWFBc4u5c+KkZKSzLWwMIYOHwnAgcPmYGI7O1uzm7vSnuzsbLPHoEpNpkqFXxPfQsHEP3z3LTdvXGfEqNH06duvXOcvLwaDgSULFzBv7vfIZLIHMsa//9HHfPDuDObOX0hYWPGpYiIjb3PtWhi+vo2L7fOkYWVlgcikJVtrxOweZkSVmEChB1tjBreux2J4xhvL/P+HXo3Cov5IvK2Lbw+LtqT+yJbUMzhgPKlC1r4nHe+G3hliuXA8CrFSVnZjS7CjfsYhPvw1ngT/9ziyZxpe5g4kbdxUchHK6p/cPzosPBi/I4aiK9BVFAn9ltzggV+shRs9PtlH0GvXuBqRiY27D41r22NZxnar5h/xW+RHRV0E7sNWcXZYlV5EEWd5TLly5QqxsSXPcrK1WiLCw5kzd16VBrcCNG/Rks0/7yArK5PRw4YSEx1V6TFFIhGTpkwjOTmZndt/Lvfxzs4u5Y7VOhUcDEDHTp1JSU0lKfluMLHZCcPWxqbAY1Ct0ZCRmcmwwYMKjj8ZFMiqFcvx9KzFZ19+XW6by0NMdBQjhz7H3O+/o237Dhw5euyBjPEjRo3Gz78pi+bPo1atWiWOd/z48adqtmVVuw7upksc2nqRTKORzLCdfLfyFIXdTnK5tPpjlp+6gz4njUubPmT+XzZ0Hz2ImhbFtx+z6cnIAfXpMGIIdRJ/5ouPtxGSngfZsRz/YTJjx05m5YWSYyQLU7wdHrbmIpSmlFuExesBTeEilPqi/mYW2NpYgz6LTI1QpLIqsHP1IaBdW/zvF6xytD8qHkvRys7O5o9SSk80atSIxQvn89LLYwtij6qaps2as2X7TlRqFaOGDSU6qvLC1X/gIOrUrcuyJYvJyytflGRFsmIEBwXioFTi27gxu3/dj6QgmNgBhb2CnJxcNBo1WSpzMLGne03kcvMTdWZmJjPemg7A3PkLkMvl5Tp3WTGZTOzeuYM+vXpw5fIlPvn8SzZv216ka7+lpSVffjPLXMwyPr5El/uU5GRCQ0OrxeZHgU3Aq8wY6cHVH/rR0qsOAYMXoB88imaFPgIrGvpL2DmmBU0a+PHclxepO2UJXw+5Wxyy6PY3Fs5msJsF4vbvs3DmAKyOzGCAf10aNGrN2JUJBMxYwqfPKsthbQl2OJqLULbT/8KUDt40qtewcBHKsKJTw9o3b0cT0e982KohY9ZVfUzlk05djxrU9ajacJ3HkceyCOSRw4c4d+5cse22trYkxsdxKjiY3/46jkxWjmWLChBy5QovjB6BRCJh6/ZdlXb13rp5Ex++9w4/LVzMc0PLPpd+b8bbnD1zimNBp8p8TOf2bfBv2ox5Cxbx5aw5ODs54ersTL26dfHwcCctLZ24+Dhi4+IJv32b6ZNep1YtDwDemjaFX3btZOIbk/nwk0/LfZ1lITMjg48+eI8D+/bi4+vL/EVLaORTek2tt6dPZc/uXcydv4irV4vPRenk7MzEia8/RQUjjahjr3ItPg+Xhk2p43DfM7BuN6/7v0n2V5dY8WwKIREaHL0aU9fRpmzt95OdxM3QCFINMjwb+eKpKMezdlnPk32HGyERZFi50qCxV5lqeumTrhESkYWsXjMauVVt1fEnnbuCFRmXWErPJ5vH7pesUqk4f/58iX28vLzZtWM738z+rtoFC8xxVlu370Kn0zFq+BBuR0RUaryhw0fg6ubG4oULMBrLvtThWs5M7zEx0cRER9Opcxf2H/7NHExsZ4dS6YA8P5hYrVaj1mjRaDTI5bICwTqwby+/7NqJj68vb7/7XrmvsSycDA7i2V7dObBvL6+9MYlfDxwuk2ABfPDRJ9jZ2bF104YSPUZTU1KeqtkWWCDz9KdVmxaFBasQImycGtCydfOiBanUdsDOlQYt29GutV/5BKs857Fzo2Gr9rRpXjbBArB19SGgXRtBsP7DPHaidfnSpRL3IcRiMb8fPkiz5i3o3qPnQ7OrcZMmbN2+i9ycXEYNH1KpBLi2tra8OvENbt64ztHffy/zcS6urmg0GnS6sqX9PxlkLkXSoWMnLl66jEIuRyoRo1AoUCjkqNUatFotKlUWKWlp9O9jDiZOunOHjz54D2tra35auARb26q9QeTk5PDtN1/zv5HDEYlEbN2xi48++axc53F1c2PcKxM4e+Y0rqWUMAk8cbxcDwcCAgKPL4+VaJlMJv7550KJfby8vDh08AATXpv4UGKF7se3cWO27dyFIc/A6BFDuXXrZoXH+t+LL2Hv4MDihfPL7CxwN1arrDFIwYGBeHh4Eh2XgMForkxsb29/XzCxeR9LozVvsLdq2RyTycS7b79JZkYG777/IT6+ZZv5lJWbN2/w3IC+LF+62OzK/sdftO/QsfQDi2DCa68jkUjYtXNHiS7wqampXL16taImPzmIBzHvQghLRhZTJ6K09odlh4BAJXisROv27dtkZGQU2y6RSDh8YD81a7rTt/+Ah2jZPRo28mHbzl2YjEZGDxvCzZslZ+soDqlUyrjxE7j4zwVOnQwu0zHO+TOKssRqmUwmTgYH0bFzZ44Hn0QhkyEWi3Gwt8feXoFWqzPPstRq0tLT6dTB7MyyacN6jh/7i7bt2vPKfXXIKovJZGLD2jUMePYZYmNiWLhkGfMXLcHe3r7CYyodHRn3ygTOnTldasHIwBNPlydh0VghViiQFOubUlr7w7Lj0WIymdBoNAWz75joKI4cPsTlSxdJTk7+D3xPnmweK9G6cOHvEtvr1/fi8KGDGIwG9u/bW27vu6qiQcNGbN25G5FIxOhhQ7l543qFxhk7/hXEYgmLF84vU//yZMW4cf0aKSkpNGzsj1qtQSqRoJDLEUskWFqYg4mz8rO5a7Va+jzTk4jwcL756gukUilz5y8oNc9fWUlOTmb8mBf57JOPaNmqNUeOHmPg4Aezx1eEu7Otwwf2l9gvLS2N27dvV8k5BZ4c4uPi+GHObMa//BK9e3SlVXN/GtStRZOGXnzwzgzem/E2Z06fZuIr4xjUrw+tm/vj41WX7p07MOZ/o/lu1kx+P3Kk2mruCZSfx+ZZSK1Wc/1a8aVHpFIphw/sw8bGBoPBwJtTJvH9t7OYMHEio57/X6llSKqaBg0asm3nL4weMZRRw4aydcfOMjsR3MVBqeTFMWNYuXwZly9dpGmz5iX2d3Et+/JgcFAQAMnpmcjvBhMrHXBw+FcwcVYWfo3Ndr81bQr67Gxm/bQAT8+SY6DKytHff+Pdt99CrVbxyedfMn7Cq1XqyXd3trV44QK69exFampqsX3/uXCB+vXrV9m5BR4+Op2W82fPERcXS2xMNLa2dnTv2YuY6CjOnjnN5UuXuJOYiMLenoT4uBKrAly69A/ht26Rnlb4O6PX67kdEcHtiAhOHD8GQMuAAHbvLb0ArUD189iI1sWL/5Q4Lffy8mL+3O8Z98oEPvj4U/bs3smKpUv58rNP+enHuYwZO46Xx43H2bnkZaKqxMvbm8O//0lGRjouLq4YDIZyz04mvPY669asZsnCBSxbtabEvlKpFDs7cZlmWsFBgfg28ScjM4uarq7IpFKkEgm2NjYkJaUUCiZ+c+obLF4wn0sX/6FP334MHT6iXNdQFDqdlm++/ILNGzfg4+tbIVEvKxNee521q1dxOjiYBj4+xfa7fv2aOYWV9OE+4AgUJisri8SEBBydHHFwUBIWGkpcXCzxcXGoVSpcXF2pU7cuG9au4WT+0nmLFi0RSyR4e3tz8mQwF/I9jFu1bsPqVSto3LgJBoOBv8+bQ2Us4uNKdb7Jzc3FxdUVeRnylfYbMOiB97RazUN/WBZ4TETLZDJx8Z9/im23sbHh3JnTALz08jhsbW0Z9fwLjBj1PH/+8TvLlixm4U/zWLF0CSNGjebViW9Q5yHVVHJydsapiHT9ZcWtRg2GjRjJti2buXnzBg0aFJ+pWSQS4VIGt/e8vDxOnwzmmUFDC4KJnZyc7gsm1hQEE3u41+R2+C3mz5uLs7Mzs+Z8X2kHlyuXLzF9yiQiwsN57Y1JzHj3/Sr3QLwfpaMjI0f/j3VrVtGpa1fuFFPM02g0EhYWSqtWravNlv8iJpOJlORkLK0ssbd34NCB/USEhwNgaWWFZ61auLq4smzJIv658DdZWVk0bd6crMxMunXvQejVq5zN/337N23KlcuXqVW7NgqFgqzMTAA0Wg3Hj/2Fb+MmiCX3st/odFrycnOpXbs2t/I9ei0sLHB1cyu1xFDbdh3oN2AAN2/cYPfOHSX27fevPfSUlGS6d+rA0OEjmfbWWzg5VX8dKQEzj4VoxcbGlOiA4efnx3tvv0nLgADq31eawsLCgl69n6VX72e58PffrFi6mE0b1rN54wb69h/AxDcm0ax5i2q03Ej6xe2sWL6V38+EEp2ajaXMjfrNutB//HTG96pDWbILvj5pCj9v3cKyxYuY+9OCEvt6eHqiLiVL/KWLF9FlZ2NtI0YhkyGXmasTS8QS0tPTUatVaNRqUtLSmDhuDK9PGIvRaGTOjz/h6OhUjusvjMFgYPnSxcyd8x2ubm5s3bGrwp6B5WX4yJGsW7OqUM7EoogIjxBEqxjy8vJQZWUV/F8sFiOysGDXju0kJiYQGxNDbm4u1tbWfPDxp0yf8gaJCQnExcYiFkvIzctlzMvj+O3IYSLCzQLi6OhIWloardu2Iyszk6z88dUqFZG3bxPfKP6BWnn2Dg5MfGMSa1atLHjPkJvH9LdnMGDQYA4fOICfX1MMRgORt28zfMQoXhjzMtdCQ3F0dqJGjZqcOXWKF0bfWzGwtrFBqVSi1+tRq1QYDAa2bt7I1s0bH/gcLC0tkcvlWNvYkJGejpd3gweys2zdvBmVSsX6tavZvXM7U6a9ybgJr5boxSpQNTwWonXl8pUS29NSU1Cr1QVJX4uiZUAAy1atISI8nFUrlrFz+88c3L+P9h06MnHSZLp2617FLvJ5RO2cwkvvHUTffCRjP5pCizoOGFPCCNq5gsWvDOLSnL0sGVWn1LxddevVY+mKVdSoWROTyVSindt27C7VspNBgTRo0hTx3ZRNSgdkcnlBZeIstQaVRoNcJmXT+rVEhIfzwktj6NGzVzk/g3vExcXy1tQpnD1zmsFDhvLVzG8r5RlYXpr4+dOwkQ/nzp7Bp3GTgpvjv4mMvF2hZdwnFZVKRXRUFLGxMRgNBnr1fpbA48dISIgnMjKSuNhYLEQWTJk2ne+/+5ajf9yLG1Q6OtKv/0C2bNqASCTCaDTi6upKUlISRqORM6dOFSzB5eTkYGdnR1LSHdLTChcjdFAq6da9B78dOljwXlpqGl26duPDjz9l/bo1tGnbFg9PT2rXqUudunXx9m7AM737kJiYgGetWjg6OhX8Lhq82ZCkpCReefklrly+xIXz5+nesxdNm9/bE27ZqhUeHp4YDAYSExPIzcnBxsaWbt17UN/Li9q16yApYplYo1YTFRVJRHg4J4OCyM3N5VpYKAP6PMP4Ca8xYNBgrKys2LJpQ6HP+NuZX/PbkcOsXLuuUg9+AqXzyNM45eXl8dO8H4utTFyzZk2OHDzAPxf+5vzFK9g7lC32Izk5mfVrV7Nh3VqyMjNp5OPD65OmMGDQYKytrStttyFyDS/3/YzbPRby8/wheObLv06rRWynYt+UZ3nrXC9WnfiBbgXZstXEh0eRYeFCPW9Xikrxq0+LIioug1yxG3Xr1UD6r3trdvJt4gyu1KshLdb1c/TwoTh51qNe3Xq4OjtRv359PD3cycxUEZ+YQExMDOGRUfj5ePPpezOoU7cuh34/WuH1+T2/7ObTD99HJBIxc/acKvMMLC/Llyzmx7nfs3DJMs6ePVtsv5fHjq2SrP2PApPJRGpqCnGxsWg0Wjp07Ejg8WPs3rWzoI9CoaBv/wG8Ou5lEIlQZWVhbW1Nbm4uk6ZOY8nCBbi4uJCc79Dj4upK27btOXhgX6F9IGsbGzp27MSxv/7ErUYN7iQmIhKJEIlEPP/CS2zftoXc3FycnZ2pUdOdxk2aMGnKVA7s30fo1atmEapdh2d6P4tbjRoYjcZC45eUN7Ikrl8LY9xLLxIff6/eXfMWLdm5Zy85OXo2rV/P8qVLyMrKpE27dnTt2p3uvXrh7d2gXA+uJpOJG9ev8defRzn+11+cO3sGpaMj3br3YMfP24o8pnadOqzbuKXQitDD4r+SxumRi1Z4+C22btlSbHtAq1a8MWE8/QYMZMnylcX2Kw6tVsP2bVtZuWwZcXGx1HR3Z8JrrzP6fy9UYkM+jyvfPcOQVa58fmwrL3k8KB95139h+Z/W9HhhAL6KPGIOzeS9z9ZyOj4bExbI6vdm0vc/8Ho7ZywAQ+xBZr/1OZtPx6A1Aoiwde/ClEUrmNr0KJNbz0HbzZOQfUEki3yYvOcP3m3+4I9ep9PSp/eztO/Wi1oeHtTy9MDT0xOlgz3x8YnExccTGxdHYlISxw7tITkpiV2/7q9QLbLMzEw+++gDft3zC+07duLHnxYUmeT2YZF05w5tA5rz5tvvoNZqi3XsaduuHc880/shW1c016+ZnUMALC1E+DbxY+XypSQnJXH92jViYmKwsBAxfsJrBTfKqyHmlYm69erTvUdP1q5eiVwuLygu6lmrFvXq1SfwxHHqe3kV7C8plY7U9/Li7/PnComWj48vEya+zq6dO7hx/RqqrCw8a9WiT9/+TH3zLY4cOohGqyVHb36wbNqsBU38/NDpdEil0oe6JPbnH78zbfIbqNXqB9r69uvP2TNnSE1N4X8vvsT7H31SpbP9jPR0Zn79JTt+3oZUKiUvLw+9Xv9AP4VCwffz5vNsn75Vdu6y8F8RrUe+PBie/4MqjriYGACGjyh+abAkJBIpY8dP4MUxYzm4fx/Lly7m6y8+Y/68uYx5eSwvj59QamDqAxjjOXPmFvgOpXONouc7Vo2GMLmR+d85IQuZOn0zxhFz2Tu9Lw1EN/h11jS+mPgeNQ6vYqhbGvu/fpe1cV359shvDGksRRW6l28mvsni+b8yaqWYHE0kgZc6sDDwOs2Sw8n1K/pPd/7cOeo29DXHZBUTTJyemYlOnUnSnTtMffOtCgnWmdOneGvqFFJSkqvFlb0iuLq50aVrNzauX8s7H3xcbMaSkCtX6NmzV5XYq9Vq0OmycXJyIlunI+J2OInxCSQkJKDX6+nQsRPXwkI5cvgQIVcuA+Z4w5deHsvhQweJjork7JkzAAS0ao2joyO//3aEJn7+hcRp88b13Lxxg0b3eUfa2ytIS0vDQanEwcGhQLSkUikTXpuI0WREbCcp6N+qdRsmvjGZ4MATGE1GnJ1dqOnuQU13d9zd3Rk+chSpqSkolY6FPpvikjqXpx5cVbBi6RK+nfl1kQ8jMpmMQwcP4Nu4MQuXLKVDp85Vfn4HpZLvf/yJAYMG8+P3c7h08R+kMhmafwloVlYWy5cs4pnezz7y38TTyGMtWnK5nD+P/o6TkzNdunWv1HmsrKwY9NwQBg5+jpNBQSxfuphFC+azYtlSho8cxasT36BeWWN48pJJTjViUd8Vl/uW7wy3/2R7YDR5Bb8pSzw7DcV26xauuo9h++fD8LcBaM6oL2cQ+Ns0ft4fy9BXnWgxYS5LLFvSq7ESC0DZuA/PBjix91oy6cbagBWNBr/CM7XtuZ0txdvSRFFV8f744yjOLq7IZTIUCrNw3Q0mVqlUqDVqsrKy2L9rO37+TZn25tvl+hxzcnL4ae4PLFm0AB9fX9Zu3FRtruwVYeiIkRw/9hcmU/HuzhqNhtu3I/Dy8n6g7W62BBsbG0wmE7//doTU/MBSO7GEJk38sLWzZd2a1Rw5eICUlBTad+xE5y5dOfbXUfJy87jwt9kdu2279ixdvJDkpCTatmtPTH4Vbje3Grz79ltkZmbQqvU9pxArKyt0Oh2etWoX8pBzc3OjcZMmOLu4YjQYaNqsOTVr1qSRjw9du/Vg2ptvcfjQAaRSKZ6etWgREICTkzNdu/egKLy8H7zuuzyuXnB7ftnNrG++euB9GxsbcnJykMpkBbOb6haKrt2607Vbdy78/TezZ37N2TOnC5ZfwbzcumzlGkGwqolHKlqZmZmkpqQU216nbl0W/PgDw0aMrPD6978RiUR07NyZjp07E3r1KiuWLWHbls1s2bSRPv36M/GNSbRoWcrMw0KKVCzCpFGjMYI0/7uZG3GcnzcFojcBuWlE30qjw48d6XgjkdyodYwP2HqfzOShVeXiGBEJ1KZ2ywDS927j282XuXU7ktu3bhGdqsPCz4j59muBi7sHFkYjz3Tvyu69+2kZ0OoB02ISk6lVuzZ2trY4KpUFwcRqtZostZr0jEySE+OwsbHmp0WLy7W/F37rFtOnTCLkyuWH4speEXrkz6Cio6MKnshNJlPBDSQxPp7EO4mEXrlMEz8/hg4fyfVrYZw+dZJzZ86QkBCPb+MmqNUq7O0dMGHiXP5MqG3bdiyInYtUJsNB6UBK/nc3LzeXbZs3kpqaip9/00L22Nra4uCgxGAwFLxnaWlJuw4d6Na9B+Hht3D38ATM+yFjx79Cbk4uEeHhOLu64OHhgUQiLfDaK47JU6dX3Yf4GHIyP1j+fsRiMTqdjuYtWrJi9Vpc3dzKNJZWqyH81i1uR0QUyqpjbW1NvfpeTxS/aAAAIABJREFUeHt7l6mobMuAADZs3sqr48cSeOI4dmIxhrw8lq1cU2ZbBMrPIxWtiFJKfKiysjAYDHTs3KVazt+4SRN+WriYdz/4kDUrV7B18yYOHzxA23btmThpMt179Cx649aqNk2aOGE8epGLWuidXx3FrueX7MlPPG+IWsKoLrMBA3lGsGk6jtnT21F49V+EnXtjMN7h4DsDmf6rnkZdu9OmwxCendAU0eEpfHpfhihLS6sCe+Lj4h4QrdsREcgV9ihkcmQyGRKJBJv8YGK1Ro1aoyEtLY2/TwXx0aef4e3doEyfk8lkYvPGDXz95ec4Ojo+VFf2+9HptMTGxpKelk6Lli2xtLTkxPG/SLqTRGxsDFqtFrFYjGetWmzZsIHMTHMYRY2aNdHpdNSqXYc7iQkFcW5anZaft22lRYuW6LJ1hIffy9x/88YNmvj5F/r7GzGRlpZG0+bNSU2997CVk5PDyOdfwNXVlcuXL+HdoAEenp7UqVMP3yaNsbayJjQ0hHfe/wDPWrWoUaNmqQ9hbjUKF/OrCuehJ5nvfpiLXC5j9coVwD3BGjp8BLO++77EpUqDwUBE+C3OnjnDoQP7ORkcVGLgsZWVFZ27dOX/7J11WJRb28V/M3TDUCKggthgoGACdne3mNjtsY6F3d3diXXO8dgKYndigkh398T3x8AoEqLH4PVjXZcX8uz9JDPP2nvf615385atqOHgiJW1dZ6zJnUNDbbu2MW4MaP495+/qVCxIrZ2djn6RUZG/FTjg98Zv5i08l4aVFJS4s4tebHDOnXr/dDrMDe3YMZsd0aPHc/+fXvYuW0rA/r2pmy58rgNG06bdu0/CzZrUrdbB0p57GfbHh9chlcgx3xDljlDEoqwKqmP9EYC2rUbUVehJAzkgac/GgbaSCMOceBUMLbjr3JspI1cIi8NY//+eKQyGbnJCXJzxdh76AhaWlpoampiaChCT/eTZOL4BCKjooiJisTBwYE+/foX6NlERUXyx4TxXLpw/odI2ZOSkggMCEBFRYUSJUty6MB+XmQWdVRSUqK4uTktWrZm7uyZCjl2+QoViYqKZPjI0axdvZLoTOsmA5FIIbfORjYSKXGxsTkEAwnxCaSlpWFrVxnva16APEeomJkZw0eNpnz5Cvx1+iTGJiaUKFGCMmXKMfGPKTg41iQpKUlxDiUlIRoa8thR1+49cr1PyxL/m2rFwgKBQMCM2e6YFjNjzaoVJCbIbcEGDh6SpyJQKpVy7MhhFs2fR3R0FKWsrKjh4MjUP2dia2dHufLlUVX9+M1NS0vllY8PT5884eVLHzauX8t7Pz+MjY2ZPnM27Tp0zPVc6hoabNi8lfVr17Bs8UL+nDqZJctXKtIEZv05jSuXLvHXv+cwEIl+2DP6/4JfRlpSqTTfYopmZmacPuFB+QoVvl4o8Y3Q09dn+MjRDBzsxsnjx9i8cQMTxo5m6eKFDBzsRo9evRVFJ9VrjGXukJu4LemBa8RERvVqg6ONHsKkDzy84MGejZt5rGxOHxNt6nTpQMnje5k9vSorZ3TGViMUz9UjGLXen8abr7CipjrqyjL83z4nOM0GS8kHrm2fytprychKpZL6yaBQIBCgq6tLxGdO76lpacTExWNkIEJXRwdtLS00NDSIjo4hMSlR7uYeHY3f6xcc8zheoPX2K5cvMWncGNLT01m7YVO+UvaUlBSCgz5KkFVVVbEsUQKvq5e5cP48gYGBZKSnU9qmDJ26dOGPCeOIjIwkMiJCET8a7DaMUyePExQYCMhd/ZOTk7l6+bLCngcgJiaaiPBwdm7fqnBMAIiJlvvM1apTh1s3bii2C4VCzIqb49ygAR/8/bEsURKQL+906NiZipUq0bV7DwyNjHIUFW3dtl2u96ujo/PF51eEb0d6enquqsTkpCQSExJYsXptvnZjz54+Yeb0qTy4f58KFSsyf9FimrVome/nXltbmzr1nBQiDplMxv17d9m6aSNjR43g4P59uM9fkGsMVyAQMHL0GEQiEdMmT8LGpgz9+g9g9IhhnD93FoBRw4ey9+Dhn15S6XfDLyOt0NDQPHOzQK7UCQkOplXrNj/xquT41Cbq0oULbNqwjvnus1mzcjl9+vXHdeAgTExMqDPlCIdsVrFq+2Jct0xEoqqGICMNqXox7Bq7smLFMNpUUkPIZNbOj2HCggm0PjIRFSUJYhVL6k/YwIxmBiBsw4gxHrgtdcPl5BiUpVL0qnbFbWg9Vu56gU90dj89Y2OTHK7TZ86eR01VDR0dHUQiA0UycVJSIvEJiURERpCUmMjkyZMpZmaW7/2npqQwf647e3fvpGKlSrTv0Akr69KkpqRw9t8zhISE4PvuLYEBASgpKTHhj8nMd5/Dvbsfc6P09PRo37ETu3fuQENTU56/pqGB9zUvwsJCeenjo1giS09PRyQSERcbo5Bhf4pGjZsQFBRIeloasbGxhIXKJb0f/P0xNjHB2ro0NRwcqefsjIWFBabFzKhU1oY+rq7IEGRLJK5k+3HppmHDRlSytQX4abZfRSgYli9ZzK2bN5j65wxq1a4DyKtpr1qxjGUrV+dJWBkZGSxdvJAtGzdQydaWLTt20aRps28iCoFAQA0HR2o4OHLv7h3mu8+mRZNGuA4YyNgJk3KtmN2zdx8kEgkzpk3h4oXz3L1zW9Hmfc2LI4cO0q1Hz6++ltyQmJiIa++epKSkZNveqlkTZDIpbdt1YOiIkd/lXIUJvyxP6+7du5w7+2+e7WXKlGHyhHHs3Lv/p1Yozgv3791jy8b1nDv7LyoqKnTq0pVhI0ZlvuzExIf48SEwijQ1I0qUscE4tzhuajhvXvgSJdFGt5gZt84dp1KlStTM/FKmhr3kuV8sysZlqVBaRF7ZL907d0RDQ4Ode/cD8lnrDPf5qKmoYmFhTtkyZT4mE4eE4Ofnx+t3b5GkJDJy5Ag++H8gMTGB1m3b8eD+PU54eODv/x4AVRUV3rx+RUhICNo6OgpbHxVVVVzqN+Ti+bOYW1goZkMlSpSkTNmyXLp4AXV1dcVARFdXjxatWnP44H5KliqF/3v58XX19BgxagyrVyxDTU0NE1NTzC0sqVChAr37unL79i2ePX2CgYGIhPh4/P3f8+L5M8X+FhaW1HN2xtmlPnXq1kPfwCDXZ+TauyfxCfE0atIsT6fvSra2dOjQMd+/exF+PgI++NPIxYn09HQAGjZuQodOnZg4bizNm7dg9fqNue4XHhbGsCGDePL4EQuXyAVc33NWI5PJOHzwANOn/IGBgQG79h3IIbzJ6jeofz+8vTyRSCTZxB56+vpc9vL+birNZYsXsm5NztJGxsYmHPY4jnUuCtn/dfyymVZ4eO6mplkIDQlBSUkJx5q1ftIV5Y/qNWqwebvc8mjr5o14HD3CoQP7ada8BW7DR2JfvTq2Zl8QNqibUMbehDLIA7OHDuzH/70f23ftpZ6zM+qm5an+iehox7atuM+awcat22nRspViu7GJCe/evuXe3dvExcbxzv8DEokUbQMtdLS1UVFRISUllejoaMLDw4mKiSElJZUQ3zc0ayRPHShfoQLXva/x1+lTVKxYiYef1DLT0NREJpNRwrIEzzPjS8ZGxiQkfFyKy4Kevh6NGjchOSWFwA8fSEtPw8LCglJW1sxbuIi27doTFx+nkAOXK1ee8hUq4DZseLbjZGRk8PjRQ3zfveXBvbs8evgQqVSKjo4OderWY9CQoTg5u1CyVKkCvYjq1K3HgnnuuA4cnCdpZc3YilC4sGrFcgVhgTyh+N6d2+hoazN77vxc93n29AkD+vUhLS2NA0eO4eBY87tfl0AgoHvPXlhYWOI2qD89u3Xh0NHjVKxUKUe/+QsX06SBM0pKStl8VeNiY1m5bCnzFi7+LtfkNnwkB/btI/qz8io9e/ehlNXvWYbnl820du7YTtAnMZBPoaKiQoD/e3zfveXM+Us/+coKhoiICHbv2Mae3buIj4vDwbEmQ4ePoMFXJK1GRUXSq1sX/Hx92bpzN84u9bO1JycnUdfRAQtLS06fOcuVSxe5cuUyvu/eEhUZScCHDyQlJeHSsh1WJa0wNTGhhIU5JUuVJDkpieDgEIJCQnjn58er50/RVlPi9i25m3b1Gg7ExsYSEhyElXVpRSKriakpM+e48/LFC0JCQhQzHLvKVejVpw/h4eGEh4djYmxMMbPiGBoZoauri0AgQCwWFzg1QSaT4efri7eXJ15eV7l5/TpJSUkoKSlRzb46Ts4u1HN2oUrVqt+U7nDu7L+4DezPqnUbePbsWZ79Jk+Z+v9emVeYEB8fj0O1yqR9EjrQ0tIiKSmJLTt20bRZ8xz7xERH06JpI2RSKQePHv8pFkrPnz2ld/euaGnr8M+5C7mKk44fO8r4MaMUSscs6OjocPfhkwLJ6guCPbt2MnP6VMXvpW1sOHDEA9PfVHb/S2ZaMpmM8HzKaxQrZsaFf89gXyNnHlJhgbGxMRMnT2XYyNEcPniAbZs3MdC1LzZlyuI2bDjtOnT8or2NoaERB44co1e3Lgxy7cuWHbuo/0lCqKamFl279+Dp08fExcVx5p+/ue59DR0dHT74+6OsooLI0BgjQ2N0tLXR0dJCT18fVRUVolPTiE9IID4hkfT0DCqWtSElJRmX+g2wsLSkTNmy1HBw5MH9+yyYOwd9AwMmTp5Cx05d0NTUpHWb3AUINvmUTvkSucRER3Pd+xpenp54e3kqvOOsS5emc9fuODk7U6tO3RxiiG+BSWbBzIgvzOjDw8MxNzf/z+crwvfBqRPHsxEWyBWm7dp3yJWwJBIJY0YOJzoqihN/nflpnn+VbO3YunM3XTu2Z8LYUWzZvivHYLVDp878+8/fXDh/Ltv2hIQEzp79l/bfaWm6R6/e7Ny+VSFs6z9w8G9LWPCLSCslJUWxXJQbTExMePfuLX37D/iJV/Vt0NLSYsCgwfTp58o/f//Flo3rmTR+LMuWLGLgoCH06N0nX6WZSGTIgcPH6N2jK4P792Pz9p00bNQYqVTKgrlz2LNrJwKBgKdPHlPKyhrfd2/xeeEjjx2lplK7YR00NTXQ0NDA0FCk8KBLTEoiKTmZ2Lg47Gwr4jYwu8Q9ISGBmdOncsLj2A9zZU9LS+P+vbt4e3nh5XlVYWNkYCCinrMzY5wm4OTsQvEfQBqmpvI8p9evXmFobJItrvApIiIiikirEOFzI1o9fX3iYmMZN/GPXPsvXbQQL8+rzF2wSCGq+Vmo4eDIH1OnsWj+PFavXM64CZOytQsEAsZPmsyF8+fQ0dElIeFj5YGtmzbSpm2771JtQEVFhcnT/mTooAHUcHCkTR6K198Fv4S0Pvfq+hxSqQSZTJbNZ62wQ0VFhfYdOtKufQe8r3mxecN6FsxzZ82qFfTu68qAQYPzzJI3EInYf+govbp3xW1gfzZt3U6jJk1R19CgTj0nNDU16NerB1KpFPvq1XEdMJAyZcsiFku5/fgZuto6aGqoo6mpiYa6GlFJSfK6WUlJpKSm0rVz9hHdvbt3GDtqJPFxsV+Usn8Nslyxr3l54e3lya2bN0lNTUFVVZUajo5MnjYdJ2cXKlay/eEWN8YmJqioqPDm9Wusy5TN03klMhe1YhF+Dd68ec2Tx4+ybUtKSqJRk6aUsrLK0f/8ubNs2rCOps2a07tvv591mdkwZOhwbl6/zuoVy7GvXgOXz+zmKlSsiGPNWjx6+ECxzbJECZycXYiPi/tueVvNmrfAvnoNhgwdXuBKGP+r+DWklZyUb3tycjLwcbT8vwSBQICTswtOzi48e/qUrZs2sGXTBrZv3UyHTl1wGzY8V+83fQMDDhw+SrfOHZk25Q+mxMdjaVmCzRvWAzBsxEj69OufTa6+Zcdu9HR10NHRwby4OSKRASnJKcTHxZOQmEhsbByx0VEcPXiAvq79UVJSYs2qFaxbvYradeuyfOXJ/+zKHh4ezvVrXlzz8uSal6fCbaJ8hQr0cXXFydkFB0dHRfLtz4KKigrlK1QkLCwUbS2tPEkrIrKItAoLPI4cyfa7UChEnJHBYLehOfomJiYycdwYVFVVmek+95tUglKplMCAAPz8fDG3sMDKyvqrZz5CoZBZ7vNo0sCZ8aNHcf3OvRzuHIPchjJkgPy7MHna9FwVh/8VAoGA9Zu3oq//82rY/Sr8oplW/qSV5VZtYmryMy7nh8HWzo7V6zcyaeo0tm/ZzKEDBzhy6ABNmzXHbfhIqn8Ws1PX0EBZWYmkxEQ8r1zh5AkPqlazZ+WadVhZW/P40UOWLFrAuX/PIJXJaNSmE2ampqiqKKOuLs/RykomTklJJSEpkYTocLZu2ohjzVrM+nMaPi+eM33m7G92ZU9JSebO7dtyAYXnVV69fAl8dFh3cnahrpPzT0sIzw92lStz5NDBfOuEFc20CgdkMhl3bt9EIBAoPCOVlZWpUrWaIk/rU5w87kF8XBxDh4/EwsLyq8713s+P3bt2cvTIYRLjPypidfUN6N6jB31d+3/VMa1Ll6ZPv/7s2rGNc2f/pV37DtnamzRtRiVbW4KDgrLlCX5vmH0h//J3wa8hraT8SSsmOirTO+9b610VLlhYWDLLfR5jxk1g3165TVSndq2p4eDI0OEjaNi4CUKhkKSkRFJT0+jYpSt7du6gU5euLFyyjNCQEPr27I6X51VUVVXlBsLq2kiFyujp6qGro4OauhqJCYnExyeQlpFBaloaqckpZKQm07NPH3p06YRlCUv++vfcV7myS6VSXjx/pphJ3btzJ7NKrQa169Sha/eeODk7U6ZsuUKX6W9rV5kD+/airJL3xzxrgFSEXwuBQMDx0/+QmpLC27dvuXD+HKtXLGPgELdc+x89fAgDAxHDR40u8DniYmOZO2cWx44eQSwqQXKZJki0P1YZTkiIYOPh02zdvJkePXsybcasAouCxowbj8fRwxw9dDAHaQkEAgYPHc7YkcN59+5tgT0/i5A7fglpJSblH9OKCA9HXUOD48eOIjI0xNDQEENDI0SGhj+9hs/3hL6BASNHj2HQEDdOeBxjy6YNDOrfDxubMvTtP4B6Ts4sXLKU7p07UsPBkYVLluF9zYvRw4eSkZHBwMFDcBs2AiNjY2bNW4iBrh46OtqYmRXHUCSS2yJFRRIVFUVMXCwN6zsx/W8Pnj19iompKVWq2heIsIKDgrjm5Yn3NS+8vbyIiZH7+VWuUpXBbkNxcqmPffUaP7X437fAwlI+WpZK8jZHLULhgrqGBrZ2drx66QNApc9yoAACAj7w+NFDRo4ek6srRW7wefGC/v36EJmYRnjnJaSUrgO5DLKiZVI03lzjyMkleHt7s3P33nxLuWTBQCSia/ce7Ny+LVdz3IoVKwLw3tdXQVpv3rwmPDSMuk7fv/bX74xCN9NSUVEhODiYyIgIxo8ZlaNdU1MTkaGRnMiM5D9FIjmxiT7dlkl2PzuWUhCoq6vTo1dvuvXoyYXz59i8YR2nThznyKGD6OnroaGhwfpNW/C6eoWhgwdiXdqGLdt3KoLR167fRCoDTQ0NRAYGaGlpoqSkhEQiIy09ndi4eJKTk+netQsJMZGsWbmCho0ac+zIYcaMH59j6SMxMZFbN64rBBRZbucWFpY0b9kSJ2eXfN0nCiuyXhwZGelf6FmEwgY/33coKytjVjynsvPKJXnuZpduuZsTf45XL33o1qUTcelSgntvRmyYj3mxQEhKWRc+GFgi3jeULp07cvTY8QIRV9fuPdi+dQunT55kwKDB2dpKZPpd3r1zm+fPnvH3X6d58/oVZcuV5/zlqwW6jyLIUehiWjo6OkRFRtK0eQtmu8vdmaOiooiO+vRnpPxndBS+794SHRVFfHx8rsdTV9fAyMhIQWKizH9Ghtm3ZZHdz1ySFAqFNGvegpo1a1GvlgNjx09knvtsZrnPRU9Pj/FjR6OqqsrmbTuyqaeuenmjnVl2RE9PDx1dHZKSkuVqwRR57az3b15x6cJ5+g8czNHDhzEtVoxKtnakp6UjFot58vgx3plLfg/u30MikSjcJ1wHDvoq94nCCqPMuNqX1KpFKHy4d/cu5hYWueb+PX3yGGMTkwL7RU6eNJH42BjCu63Mn7A+QYaxNeEtp8HxacyYPpUDh49+cZ+y5cqjq6vLoQP76T9wULbvjrqGBmXKluPIoYPZHFpCQ4ILdD1F+IhfQlqfWrR8Dk1NTaKjo7CvXp3i5uYFzuFJT08nJjr6I7FFRxGduVQWHRVFVKT8//7+74mKiiLuE2uVT6Gmro6hKJPYPiM7Q0OjbP8XGRqipaX1n1/s4eFhNGvRklevXqKrp0evPv34+/Qp4uPiWLZydbaKytu2bSc2Pp5ixsaoqigjFAhAJiMxMZHERHl+VlpGBqpCKTOnT+Pytet06dadQ/v3cdHzGlevXKZty2YkJiYq3CdGjx3/n9wnCisMDeXxisTEvONWUqkUiUTyXfJlivBtiIyMYP2a1YhEhhiIRGhra/Pg/j0cauZuxeTz4gW2BRQ0PH/2jEcP7hPv2J1U6+zHM04JRVmad74oFqVRr9ken5c3uOrp9UWjaQC7atV58fw5T589R/WzAqn2jjW5cukiBkbZHVgeP3mK2ncMe6iqqmD9GxtAF7o3VJZ66GvjJaqqqpgWK5ajeF5eEIvFxMTEZCe2bP+X/3zy+DHRUVHExESTm+OVmpqafPb2yRJlNrITGWXbpq2tnYPkypYrz+JlK6hexZbmLVqiqqrKvr27qWRrR6cuXRX9Ll+8wCVPT0qXKY+mtg46RmZo6ekTGxtLdHQ0cfEJxMXFUbF8WVo1cmHwgH74vHhOmbJleffuLSc8jjJn5kzatu9Iw0aNqFm7zm9dYkNJSQllZWW+ZFSWnJz8Wz+Hwo6E+AR2bt+WY7u5eU4Fn1Qq5e2bNzg5uxTo2Pv37gEgrnbfHG0NQ86hJsm70gQAFroIjepxyOME6upftl3SNjSlak0DduzZnyNmlpEhpZJ9Ti/VHXv2I/iOeYtKQiFTJo7F2Oj7mPIWNhQ60vpZUFZWxtjYuMDSbIlEQlxcrGLGln25MkqxjOnz4rliW27VUVVUVHKIS06dOK5or1K1Gv7v3/Pg3j3mLliUjeBWrFmHTQVbtHQN0NDWxUBPB3VNLaIS5LWy4uPjiYmNZfRwN9JS5V5nT588oVHjJgD4vPAhLi6WHr16YVe5yn95fL8VikircKKUVc7ZQlBgAKmpKZTPFDZ8CcePeyDWLYZUM2fCrYWxISr5zbQyIcjQQ4AMLa0vx8czMjJIS0tDS1MLgTA7aUkkkhxlRIBc+/5XhEdEFpHW/3coKSkhEslnVAURrEqlUuLj4rIR2keik8fkIqMief3qZbb9hEKhQoZtU+bjmVJTUnj+8B5KlepTSl0dbX0DtHW0SUlLJzEllYSkZKJioilWzBQDA31AH3NzC54+eULvvv3Q0tIiNZPIfH19i0jrEyR/Idm9CL8GpUrldMF48/o1AHYFTNBNTU4irWLOPC+Aqna2qPFlZalAmoFQkoGm1pfj3VKJhJTUVNTV1XMsOUskklxrCGpqan732LHBb+yKUURaPwhCoRB9AwP0DQwoTf7Ko1LmX17SjIiMQCaVcD7DnDfS0rhrSNHS0CAqJpbo+ASSU1OJi4unT8/uin1KWpUiNCQYgUCAyNAQsVjM2YtX/qfssX4GMtK/PNouwo+DUCigctWqit+TEpN49/ZNrmrVyExnE7PiBU+kzTCwyHW7ValSaCkVoMiFVIxAIkZTsyBKZBnJScmoqamh9Fl8WCKR5DADBgpEhl8L7R9wzMKCItIqBHj3IYh7d+/QrVOHPPtYWFiipqWDcmwwPtIadHkuZUCKhNoqGSTFJRGbmUtVprRctCGTyXjl85LOXbuRlpZGUGAgxkbGxMRE41TLAV09PcXypDwW91FkkqWsFBkaKsqO/M7Q0Pw+JSKK8G2QSmU8efQox/bQkJAc27Jc3P18/XLUscoLqhG+uW5PSExEWoA3oEAiRiAVIy1AFSepREJqWipiqTSH40xWW459vnwJXw29NG10+T2XvItIqxDg/r27hATLpa+JiYlYWlqipq7O08ePqV2nLiAXqLRu3QaPvzaSbmJDevGK7PCVsTNdHbNDG7Egnq1bdyiOGRgYQFRUJLZ2dvi+e4dUKiU2Po4eXTrRpVt3BAIh0dGRfPB/z8MH94mOiiIxF2m4srIyBiLRx7w4UXaC+zxXTldP74eb4X5v/C7OK78bsqpjf4oymaVxXr30KRBpWVqV5n3QM5DJcggj/Pz90RR+mYiEGWkIBDI0C5DzmSHOID01DU1tLQTkjGml5hbT+g6leD6Hvq42FAIrtR+BItL6RZDJZLz08eGalyceR48gk8mwsrbm8sULDHYbSrv2Hdi8cQPdevZSlAwZN34cnlcuw57BJNvURaJtjI7/HZQTI/ljyVIqV/koA7504TwgF3ZkOUxLJRK0tbVZtHR5rhLvtLQ0RdqAIhcu6mPqQFRkJIFBgTx58jjP3DihUIhIJMLQyOgjueWirMya4enrG/xykivYsk8RfhTystny93+fY5uevj7GJiY8fvSIDp06f/HY/fr2Zd6cWahEvCPDJPsy/Xv/D6h/cZ4jQZiRiqqqWoGKhaalpSEWZ6ClpQWfkZZYLBdpaGp+liaTh5nzf0Fp65zxwN8Fv4S08lttEovFqKqqkpaW9vMu6CchPCxM4eF3/ZoXEZlmrbaVq/DsyWM6denK8WNHCQ4KomfvPhw5dJCZ06eyet0GQL5EeP7SJVYsXcKdu/dIig6kWt3qjBo7Lps9U3BQEMuXLKZZ8xaUKFmSvbt3Yle5Ch07d6VK1Wp55iSpqalRzMysQPkoIFdKxURHExkZmWduXGhICC+eP8szN04gEGBgIMrhZJIzL07+08BAVOCcKrFYLK+m/IWXzf+yNdjvgOI6jObDAAAgAElEQVTFzVFVVc2Wv6mjo6Oomv05ypYrx+NHD3Jt+xydu3Rl8cL56N3cS2S7OdnaPoRGoCbN3y1FmJ6MQCZGT1cv/xdXJhIT4pFIpOjp6/E5aSUnJyERi9HR/bFO7EKhEAOD39ft/ZeQVn7WSomJiZiYmCpKXPwvIzk5idu3bmU6T3gplILFi5vToFETnF1cqFOvHiKRIQf376NsuXJ4HD3C/LlzWLdxM1Wr2XPqxHGcnF3o3LUbIC8aOW/h4jzPmZGRwYihQ5BIJMx0n0twUBB7d+9m6IgR6Onr5aj381+goqKCialpnnXCPkdWblxUZORHcvtEWRkZGUlkRASvX76U+ydmxuk+h4GBKE/brk/jdGKxBABdHR2io3M/llAo/O1jdoUdSkpKDB0xEl1dPcqVL0+5cuWZO2cWt25cz7V/JVs7du/cIR+QfCEZXt/AgC5du3Ng3x7SilciweFj3qOXaf18Je+az8+j9fIajZs0pWv3bl+8j4z0dEYNH0pV++r06fFZfxlMHD+GavbV6dWja+4H+E5QU1OjhGXu4pPfAb+EtLTyUbYkJiZiYmpKcFDQT7yi7wOpVMqzp0/kZrNeXty7e4eMDPlSQe26denVpw9OzvWxsrbO8aLs0as3V69cpoaDI//8dZp2HTqyffceunZoz7TJkxSlP/KDWCxmzIhhPHxwn9XrN2JmVpxB/fuhqalJUGAgbgMH8N7Pl/YdOzFk6DDKlvu5KsJvyY2LiYnOkROXfekyijevX+ebAK6uUSS0KOwY/1llYju7yvx16iRJSUk53hf21WuwZeMGblz3/uJ3AmCW+1w+fPDH++IqAAVxBWvlbemke2M3eO6lQZu2uLu7F2hp8Py5s4QFB9Jt0SKqVckuyY+KiuTdKx8GDxqUo60IX4dfQlr52f3LZDJMTU15+OD+T7yib0d4eBiPHj7E8+oV/vnrNLExMQgEAqrZ2zNs5CicXepTpWq1L37oZTIZk8aNRVdPF3V1DcaPHsmxk39x9MQpJk8cz4C+coPdfv0H5CgDkpKSjOfVq6xbvYo3b16zeNkK2rXvwIplS7h88QL9Bgxkz84dbNu1h0cPH7Bn106OHTlMg0aNGTp8BI41axXK2YaSkhJGRsY5HLPzwucJ4FcuXWLzxvUoK3/5hVOEwoWSmV6b/u/f5xBcuNSvj7q6Bgf27ikQaampqbF91x4WLZjHzm2r0A54QLRjT9KKVwThJ69AiRi1oKcY3j2AyuvrjBwzlrHjJxbY2uzA3j3oGxjk6tbx3k++1Ll29UounD9HmTJlKVuuHE4u9X9e7TlpKP/MGMMtx3XMbffxnJLI+xzbvJOzjwJIUbPAvt1Q3DrZoVdI9VS/Zqalnb9aS2RoRER4ODKZrNC9TBMSErh54zpmxYtjZ1cZExNTmjZrTlhoKAKgnrMLtevUVYgnCgKJRMLWzRuRSCT4+frSvEVLrly+RN9e3dmyfSdbduzi79OnWL1iOfv37sHAQISOrlzOKpPJCA0JQSwW07Zde9Zt3IyBSMTM6dPYs2sH7Tt2om49J9LT0mjUuAmNGjdh2IiRHDl0kG2bN9OtUweqVK3G0OEjaNq8xf+0B9/nCeD3792VN+TzEfrVIpAi5I7ymTHaWzdv5CAtDQ1NGjdtyt+nT/Hs6ZMCVQJWU1Nj1py51K1bjzGjR6G61wvUtEgtXpE0kzKoRfqhHvAI0lPQMxCx9sChAhFiFu7fvcvVK5fp2btPrgPUWzflS51BgYEEBQYqhFLXbt0p8Dn+EyShXF04gKm7n1LJ6mMcTxpzGffOAzkmcaJLexc0Ay5xdFIXHsaeYu/gcoVSqfdrSOsLEmNdXd3M+Ec0IpFhvn1/NMRiMY8fPlQIKB4+uE+jxk3Yun48Rxe7I20+hW5VVOnTz/Wbjh8YGMCEMaO5fesmLVq1pm279ji51OfqlcvMmfknndu3Zfio0QwfMYrWbdtx88Z1Lpw7i1gsVhzDtJgZnTp3oZiZGcePHWXBXHeioiJxrFmLlJQUTE2LsXDJMkV/TU0tXAcMondfV878/RebN25g2JBBlCxVikFDhtKla7ffYknt6ZMnqKmrk5aat6hHZPhrP19FyA6ZTIaX51X27d6Fjo4ue3fvxHXAwByDi159+vL36VPMmzObg0c9Cjy4bdy0GRcvX8XL8yrPnj3l9atXvPW9jKW5BZWdelC5ShWcXOpjWsA4bdY1z3OfBciX+T9HRkYGe3btxMTUlPCwMMX2uk5OWFoWzHU+v3Pnd+/S2GckBPqwds589j4Xo5FtTCrm2da5HEpqycp/1tLSRAgMoaZaQwbt3s/Dfu44qMr7JYb6ERAtBDVdSlkZo/H5WC81kvd+EQhMrClpKDcKTo/xxy8kHQOr0pjk2OHbUShnWlkZ4uFh4T+dtGQyGe/9/DLjUp7cuO5NYmIiysrK2FevweRpMxg0qCOX/+zAtH1BNLCZSLcqX18MUS55f8GObVt57+fHoWPHqVmrNgKBgJSUZKZOmkBf1wE8efyINStX4HHkCN169KRF69bMcp+X7VjhYWGc/fcMHkeP8PjRQzQ0NOnRqw/HPY5SqpQVfXt2Z9AQN0aNHZdtP2VlZdq270Cbdu254e3N5o3rmTFtCiuXLaVf/wH0de2PgUj0n57nr8SzJ08wNjLOt37b7+rP9r+Iv06dZNmSRdlUgwkJ8Xh5XqV+g4bZ+taqXYfKVapy6+YNLp4/T5NmzQp8HrPixenWoyefSyviYmNZMM+d9+/9mPjHlAIf7+/Tp3j44AGONWvlao/27z9/y1diBNlf3O3adyzwOfLCti2befb0CbPc5+b6rky7tILL/97FU68f609ac6rdWBQCe7EPFy74Yt11LU1Nsq5NG5e5V7ifKkBTFdLeHmfeH/M4eieYVBmAErrl2zN13VJ6lLrAmFpLEPRuQOD+3dyLyABVMxpMXc+g1LVMWnWF4DRQMqjBsC37mVjn+ygaf8naiJZW/sl0apmW/oEBH374taRG+PEuNEmRrSEQCLCytqava3+27NjFs1dveR8Uylv/QI4cP4nbsCEEeUxh6j+xOUcbCohJDH2Dz4t3RKTklgeSSvT7lwg0TZm3YhW3HzyiVvUKBL7y4W14MmoammzduZuN69fi4FiTQ8eOY2VtzcrlS2lS35lqthXp2rE9fXp0o7aDPY72VZg5fSrBQYH07uuK181b2NrZ0aJlK46f/pv6DRqwfOliVi1flsu1yO+5rpMTew4c4sz5Szi5uLB65XJqOdgzc/o0Aj74f4cn/XORmJhIYGAAxibGJOVTKdvY2OQnXlUR8oO6ukYOmbuuri5rVq3IIbARCATMmTcfgJl/TiUmD3VoQfHvP3/TuL4Thw8eyLNsUW4IDw9nzsw/EQgEzJ47P0e7VCpl3ZrV6BsYIJN9fBeoqKjQrEXL/3TNACnJyfzz12kaOTtx8rhHjna1ZqtosuIm57ZNpLGlSvaV8tRXvH6vSknDIDa6NaGmjQU25R3o+ucpApU0UU5/wNoR4zme1JhF51/w6vVNnntvo6PKv8yZuIWXYglpSb78deAtDTbcwufdHda0UcZrQQ/GX6vG/CtveXFnLz1NHrN9/WnCv5P1R6FTDwJIJFKUlZV58fw5jZsWfARVYKQcZ4TDEpLrW/DsL28iBOUZvmM2xR7cJFySS38lM+q69qW2kZDUp+uZsOAtTeaN4MO4JTm6fj4yUdItT5s/N7KwV0kujXBkhbAPLgH72Hc3ggxUKdZwOquGpLJx/Ao8g9NASYT9yK1sG1+TOnXr0bxlK9LT04mNjaVn7754eV5BnJHBg/v3ARkmpsXo138g0dHR3L51k/17d/P8+VNmu8+jW4+eKCsrM3bCJDIyMli1YhlSmZRxEybluaRQsVIlVq/bwB9Tp7Fj6xYO7NvH3t07adWmLW7Dhv/PGO2GhYYCUK58BeLi4vLsZ2RcNNMqLGjSrBkVK1XixfPnim2pqak8uHePq1cu06Bho2z9q9lXZ8Zsd+bOnsnE8WPZtnP3V8fAw0JDmTl9KufO/ouNTRnWbtxMrdq5G+x+DolEwpgRw4iMjGTewsW5OnSc+/cMr1+9zCHmcHKp/1Vx77wwetx4Wrdtxzz32YwdNYKTxz2Yv3gJ5uZyybtQW5e8pgjShFjixak8XzaN8A6jWbivLDKfE6xe9geD0vXx6OLNyZcmdDrgTvuK6oAINSsrJrlPR/mqHhIxgBJWnSYxuI45qkDT5g5on7pHs3FjaFBSDXCmZR0zDt8KIkwKJt9hmvRLSEtVVRUdHR2Fm/nnCAsLpVz58jx98vi7nE8mk/H2zWu8PD1JTIhnzLCSpCe959rjOqy99ooqEe9IUfdm2p5d+IhzOYCyLbrt+1DbCJaM3Yy4316mOb9g2Of9skYmdGXR+Sm0KBnH1UVujJs5ntL2R7BMS8bv/H4sJm3C82B1JOcm0mP0PPq9cMRtqRfraylzZ34v3Las46xrbVav34ihoSF379xGZGjI4YP7EYvFVKlajZBMX7bgoED8fN/h5XkVTU1NZDIZD+/fZ9L4cdSpU5dLly5QrJgZd+/cRqikxJqVK4iKjKRylapERUUpnN/tq9fApX4DYmNiSElJxtS0GDNmuzN67Hj27d3Nzm1b+fv0KWrXrYfbsOG41G9Q6EQynyIsTE5aZcuVJzgXD7ssmJoWrP5aEX4OBrsNY9zokYrf09PTUVVTY9af06h58XIOy62Bg4cgEYtZMM+drZs3MWRojm9lnjh53IOjhw9y3dsbgLdv39C987ct2f05dTJ/Tp2cZ/unMWiQ18YriFH21+LqlcvUdazB3AWLChBnl4FMDI4T2DS3p5xQajlSVvKOxgt3ccpGQJiwLJVssyffazkO5E9HIOU4IKSYZYmPRKKmjqrQEBOTrC0CVNVUQCr9bh6Lv0wcYmJimidpRUZGYmtXGc+rV775+BEREVy/5qUQUGQFQF0HDARKAsqUazeQJiX0UC5hD9hz+MnofI8pDTrB3xZTODTGHs34Fzna0+4dyzEyaTZlLpOVr6ArH5agZNWFsW51Ka4KNG9BdZ2T3G8+nhENS6IG1G1Vl2IHbhAcKsWwsnyN2sGxJj1798Hr6hX69HNVlGeQQ0BpGxu8PK8iEhmSnJyc+QwjePToIQEfPqCfWaZAKpGgpaXF/r172L93D1bWpfHzfQeAhoYGvfr249jhwxgaGeL77h1mZsUpZW3FuIl/kJSUxNkz//D08SNce/fEwsKC8ZMmU79hI6TSj9PTgsrTfzTCM5PTDY2M8iQtVVVVxbMpQuFAqzZtWTDPPZu5gEQs5oO/P0sWLmT23Hk59hk8dBgPHz5gwdw5yKRShgwbXqABVbsOHUGAgrR+J/Tu2++LfYS6RuipKWFargIixQxICZMKZTGW3CAs3gQEQr5U6ktZReWzONPnrovfF7+OtExNePfubZ7tZcqW4/DBAwQEfCiQwiY1JYW7d+/g5XkVby9PfF7IScXYxAQnZxecXepT18lZnhORchQQYlzcXPEApJG3OXbkFhG5Lg+aUrNjFR6Pn8HctU+wzvWpSUl4+y7byEQqlSLUqkm/WTWBZE4CQjNLLD8OS1BTFWJoaoIy8jiMqooqKsj4vH7kde9r6OnrM2feAgQCAXGxsZw7e5bJE8fRsnUbWrRqTXhYOMFBgVw4f44H9+8xefMWDu3bx+PHHx201dXVqVrNnuve14iOjsp2jndv3hAbG4NMJkUmkxEWFkpwcBAChFz39srWNzQ0lPFjRmXbpqunR/nyFXCfv5C1q1eioaGBgUiEpYUlpsWK0axFS16/fkVQYCBmZsUxMzNDV0/vh8zYnj99gra2NukZeTsemJoWK9Szxf+PUFVVZejwkcydPVOxTSKRYGxswq4d22jRqhU1a9XOto9AIGDV2vXo6uqycL48kXjOvAVfzK8SCAS079CJps2as2nDejZvWI+JqSnu8xfmWIrMQnp6OpMnjueExzHqN2jIpm07crUBu3zxAgP69aFTl65MmDSZZUsWccLjGDKZjGUrVyscbv4rHj64j/usGTx7+pT+gwYzasy4ghc0VbfFrqyQ6698iJZWy1y6k5LwIZAYJRMsK5XCWHKdV6/SyZQRyp/Bo/WMXRFGy1m/Jkn6l5GW7hf8t7KkyDe8r9GtR68c7VKpFJ8XL/D28sTL6yp3b98mPT0ddXUNatepQ+eu3XFyds6RiPsplJQ+3r404gaH1qzhRW7vOBU7ZKUDOHsrkhfVP9qjSKVSGGtD2S1jOfnPREyQKUYmsbGxXDh3li7duiORSFCkPymroPrZuq5AIF/CfP7sKdXySJO6ce0atevUVUh/9Q0MqFNXvvYeGRFBi1atFX179ulLHcfq3PD2ZvX6jTmOJZFIGD9mFKdOHKeqvT0lS5bCxsaGpi1aoqqmRnhYKIEBAaiqqREZGYl99ercuX2TjEwCyPKJa9CoMde9r5Ge6ROZmpLKndu3WL50MZcunEcmkyGTyTAwEBETE03Xbj3wvHpFsXQH0LZ9BwYNcePo4UPEZ8ae9PT1adqsBTVr1+bmjeuoq6tjkUl8Bc0j877mhXP9Bvj55l6WAvgqWXMRfh5cBwzkhMcxnj19otjWvGUr7t29zcRxYzh36UqOZUI1NTUWLV1OlarVmD1jOr6+vkz7c0aBYrCamlqMn/gH3Xr0ZPH8eRw5dDBX0nrp48OMaVO4d/cOfVz7M33GrFwJKz4+nqmTJ1GlajXmL1yMuoYGK1avZeBgN7y9PL8bYQEcOXQQExNTLl7dQMlSOSs95wsla9r1rM/2KSuYsbscC/pUQen5AWat9USt/lJaNbEmzPoIhxaswGXdOJxM4xHH+LF9yUYuBnWmv+jX5Dj+MtKysDDPt10mkyeLel/7SFqhISEKKfo1Ly/FTMGuchUGuw2lnrML9tVrKNSHXwPlCuM4/nJcnu3SqHsUn6b5cSaW9oSjq/5Bue0kOjrVxkQoRKdUKYwl3rx6lU6zsgKq2VeH9IdsG7Wc8Fazsc3n/BkZGSTEx0POuneEhoTw7t1bXAcOyrbdKDOT/nOfRm1tbfr1H8DuHdtxGzYihwOJkpISK9esQ0tLiwP79lKjhgMjx4xDIBCwedvH8iZZVVbV1dVp064dt27elD8rZWVEhoY4ODqyZMF8rl3zIjQkhPR0OXkFBQUiMjQkMtMQ2NDIiJiYaNLSs+dLiQwNOX3yBLExMQQFBipm3qVL27Bvz27q1K3H48eP5M8FKGVlhUwm44+p0/nn9Cl8fF5gbm5BufIVaN22LVWqVuPxo0dERUXi8+IFzvUbkpaWluegpYi0CieUlJRYtHQ5bVs2QyqVMm3GLIYMHUZIcDBtWzVn5LChbNyyLcf3XCAQ0LN3H6pWs2fS+LG0adGMho2bMGbceKpUrfbF85qbW7Bmwyb5YPQThIaEsHzpYo4ePoR9jRr8c+5inmVRUlNSGD5E/j3dunN3tnzHSra2VLLN7y3w9ViweOl/WC1QwqLbctYEj2LKvNY4zFYCsRLGdYawbH4XTDWFjFk/n/BR7rjWWo+SUIxUAqqlWjBl3UQc1M+z/bveTcHwy0jLzKw41tbW+OYxEg4PD6NM2bJcuXSJ2TP+xNvLk7dv3wDyD1fT5s1xcnahTt16PyWXSGhYg45uNT5uiN7HjTVnUas/mCGdMg2AHbvQxvrwx5GJlT73Ns9g6/kgOgw0zHedVyzOwNjEBHKZ6d24Ll9zr1vPKdt2DQ1NtLW1CY/IaS7sOmAgWzZtZP+e3bgNH5HzfoRC5i1cjFAoZNuWzXKD3Tlzs30BPh1Fli1XPlevwsXLVwLymeKb16854XGMfXt2kZCQQA1HR+rWdULfwAB1dXVatm7Donnu3Mg0QjW3sERDQ4M6dery1+lT2Y4rlUpJz0iXxz4zSUtHR4enT56wc9sWkhKT8PP1xc/Xl5TUFHZu30r/gYO4ffMmz549BeDCuX9JS0unuLk54eFhpKakoKWtjchAhI6uHmpqapw4foy01DTMLSwoU6YMxcyK5/wDFOGnw9bOjjnzFqCnp0fb9vLiqGbFi7Nl+066derAsCGDciUukCtgT585y/69e1i2ZBHtWrWgQaPGjBw9lspVqnzRUk0oFJKens7zZ085uH8/p04eR1NDk0VLl9O1e488XVRSU1IY1L8fd27fRlVVhds3b9CmXfv//jDywVcRlkYb1vi0yb5NaEy9CYe4OtAfnzdhSEXWlC9tRNZT1azYm5WXOjDZxwf/eGUE6gaUq1QSPWWAjmx6m124ot5oBXf9Pt2iSvUZ13k94+vvLS/8UpcOq3xIKyoqinou9dm2aSOHDx2gXj0n+vYfgJOzC6WsrApdLCIoMICkJJ0cI5MM1VI0m76BMY5qXNyS9/4CBFSoWBEen87Rdt37GmbFi2NlbZ2jzcjYOFdHfENDI7r36MW2LZvoN2BgrssYQqGQuQsWIRQqsXP7NqRSGbPnzvumZysQCChbrhyTp01nxOgxHDqwn21bNrF65XKq2dszJHPGt3Dp8hz7pqakYO/gQER4OKHBwSQmJVK3nhNqaur8e+Zv3rx+TWBAAIZGRnTs3IVateuwa+fHMZ4AAXr6+hz3OIaNzceaSWKxmKDAAGKio9DV01PI4BNNi5GYmMDsGdMRCATcviWfQdaqUxcHB0e0dbR5/uwZ7/3k376KlSrRpWt3oqOjiImJQUdXF7PMEi5ZcbHU1FTU1NQK3efyfxm5qd+q2Vdn6vQZzJk1I1/iUlJSoq9rf1q3bcualSs5evggnS5dRFlZGSvr0lSytaVc+fKoqn7cNy0tlZcvXvDi+XP8/HyRSCTo6urSp28/Ro0Zh14+op2UlGQGuvblhrc3enp6xMXFMWr4UJ4+fcLkqdMLvT2asn5J7BxK5tGqRbEKNSgsOluBLDdb7J+EsLAwtm7ZnGd7xYoVGT96JFOmz2BoLrOFwoR1a1Zz5u/THDzigZ6+CqGZIxOz8raU0Pvy2EAiEWeLsWVBJpNR28Geek7OLFu5Okd7lw7t0NHVZcfuvTnaAgMDcK5dE/f5C/NVE8lkMubMnMGuHdvo49of90yxx39FRkYGf58+xaYN63j18iWlrKwY7DaMTp27/GebKP/3fnz4IE8+V1ZSwrJkSR49eMCTx4/ZtWMbSkrK6Onro6Kigq6eHtFRkYrq0MXMipOWloqJiQm6unrcvXMbgJq1auP77h1JSYnYVa6iIDMHx5o8e/oEiVRKlSpVFf0da9bCskQJipmZcf/eXR4+eICFuQWNmjSlU9eupKel8d7PT7HMampaDCcXF0WibJHv4dfjpY8P/Xr3ICI8HKlUSoNGjVm9bgO6urr57pecnJRZHugVb1695O3bN/i+80Us/ri0oaKiinXp0tiUKUPZcuUoV6489Zycv/hZjY+Px21gf27euI6GpiYpmQreLLTv2IlVa9d/+00XIRt+KWnJZDJWr1qZa5l3ABsbGxbNn4udXWX2Hjz8k6/uywgKDGTnjm0EBwVRpkxZhgwb/sXE6U/x8MF9tm7eRN16TvTq0zfXPr7v3tHQuS4r16zLtVLrcLfBBAYEcPrM2Vz3Hzd6JHfv3OGq94181VQymYy5s2eyY9tWevXpmzkD+z4v1Sw/uU0b1nPzujeGhka4DhhIn36u6BvkEsT7D/Dz9aWBUx3+mPZnthpaMpmMlORkEhMTSElJoUWLVlSpWpU9u3cSklkGp7i5OXaVq7Bz+zY0NDQU5GRXuQqmpqY8fvyIUqWsPiGtmggFQm7dukmVatV4/PAhIJ8NCIRCHty7S82atbh9+xYAVavZU7JUKZ48foSOjg5hYWGYmRWnajV7mjRthp6+Pn+dOolAIMDcwoJatWtTpmy57/p8/pdx88Z1hgxwVaTKCIVCeVWIYsVYumJVru7qPxq+794xyLUv79/LZ+Wfx8MMDY04dMyj6O/4HfFLlwcFAgHWpUvz5HHuScTv37+ncZOmnPA4RmRkRKHJAZJKpWzfuoUlC+ejpa3N4mUraNa8xVcdIyw0FNc+vdDV1WXpilV59rvufQ2AOnXr5dpubGySbxmXocNHcMLjGH+fPkX7jp3y7CcQCJgx210R45JKpcxftOS7EJdAIMClfgNc6jfg6ZPHbN64gRXLlrB+7Rq69+zFwCFD/rNxaBb+OnUSADMzs2ykJRAI0NTSUvha1m/YEJFIxJxcrHfatGtPXFwswUFBBAYEkJCYSO3adYiJiebF8+dUrlKFoMBA1NTV5UU1BQIiIyM+nksooESJkjy4d5e0T6rxJiYmEBYaip+vL7Z2doSFhhIWGoqSkpDIyAg8r1ymuLk5r15mFQstTv9BQzh5/Bjp6fK6bMXMzLAuXZomTZtzzfMqGRkZGBsbY2FpiYmpaYEcz/8XkZycxKhhbtlyO7MIIj4ujj49utGtR0+mz5z9xVnX90Bqairbt25m7aqVCIXCHGQFRYT1o/BLZ1oAt27e5OLFC3m2ly9fnoljRzNzzlwGDBr8E68sdwQHBTFh3BhuXvfGpX4Dlq5YVeDKvVmQSqX069UD72teHDtxmuoODnn2HTp4IG9fv+ai57Vc29euXsXqFct48z4gzyW9ga59+eDvz7lLV75IQjKZTO4usGkj3Xr0ZOGSZT9kGeuDvz/btmzm8KEDZKSn07pNW4YMG4Gtnd03H1Mmk1G/Xm0MDQ1p2qIVkZGRufazsLDAtf+Abz5PbggMDFAs+6moqFKsWDFOHvcgOCiI169fERgQgIqqKvMXLmLp4kUkJSZy47o3YrGYMmXLYV+9BocP7sfY2JiIiAgEAgECgYDqDg7cvX0bfQMDYmNiALAsUYJKtracPXMGZWVlhduCQCBg2arVbN+yGU0tLUKC5MuhDjVrMvXPmRw9fBBlZWWKZebIWVhYYm5hQcAHf5SV5VWoC8xE7hkAACAASURBVHPs5emTx/Tq3lWRGvEpVFRUEAqF6OnrM33mbFq3aftD7kUsFnPqxHFWLF1CYlIiWppaBAfnLFhbRFg/Dr+8XIqNjU2+pKWiqoq2tjYeR4/8ctI6ffIEf06dTFpaGu7zF9Knn+s3xX727NrBNS9PRowanS9hSaVSbt64nq8btImJMWKxmLjY2DyX2oaPGEWn9m24dOHCF92wBQIB0/6ciZJQiU0b1iGVSlm8bMV3J64SJUviPn8BYydMYO+uXezasZ3Tp05S18kJt2EjcHJ2+epn++D+ffzfv2fk6LG8yuYakh3/hRjzgoWFZY5tec1sN27ZBsjz5SLCw4mNjaVUqVI0btqUe3fuIEOGirIKqqqqtGzTlhFug0mIjycWOWlFRkRQq3Y97t29q0grADlpexw5wovnz9HS0iIpKQkdHR1OHvcgMiKCu3fukJaWquhvIBIxc447M6ZOITExESUlJSra2qKtrcPqtev598zfpKenI5FIEAqE1KnnhK2dHaGhIejrG+Qq7vmRsKtchQOHj9G7R1cFgWchK4ewatVqTBw7mtUrltF/4GAaNW5CcfP802sKgsDAAC6eP8eObVsJCw2lr2t/Ro4eS0DAB9q2bJ5tpmVkZMTBo0WE9aPwy2daAFs2b1LY7nwOLS0tAvzfc/zYUc5evEL5ChV+8tVBXFwcM6dN4dTJE1SytWPVuvWUKVP2m4715vUrWjdvik2ZMpz46wyqqnmXNXn29Amtmzdl8/adeS4/ZmXeX7jime+XpGvH9qSnp3Pir38KRAYymYylixayYd0aOnXpypLlK3/oKDwlJZljR46wZdMGAj58oELFirgNG0GrNm0LVOocYPqUP7h6+TITp0zl+Semq59jxMhRGHznWNqPhkwmIzo6ig/+/ggEAqpWs+fhg/v4+/sTGhJMSHAIGRnpuA4czOw/pylEJFbWpYmLjcFt2AiWLl6kIC1VNTXS09Jo2qwFPi+eE5BZUcHExITw8HBq1qrNvbt3kErl7ihmxYsTGRGB68BBnD1zhoAP/hgaGmFuYUFpGxvGjBvPimVLkclkmJtbYF26NCVKlqRW7TpIJJJsL/WC/j3zQlBQIONGjeROZqwwC+bmFly7dYew0FA2rl/HCY+jJCQkUL5CBeo3aIRLgwZUr+GQ73cuC2lpady/e4erV69w5dIl3rx+hbKyMv/X3lmHRZW2cfgeBhhKFBRUFBUxwEDCQEFMwha7u7vXtbtbbLdcu13bdS0aC1FSQUUBUVFUJGeG7w9CUGIIXf323NfFdSnnnGfeM8D5zfu+z/N76jdoyKYt27KtrixdvJBd29OK+G2aNmX9RpcCr74IKM53IVqeHh7888/lXI9bWFgwduRwRowew6w583I972vg4e7G1EkTiIqMZPTY8UyeNl2hX/qcSE5OxrlDWx6GhHD24t/5fhLbvtWFlcuW4usflKsjtN89Xzq2dWL/oSM0+ayOKytXr/zD4P592X/4aK77Y5+TmprK2lUrcNm0Eeeu3VizfuNXXz6SyWRcPH+O7Vu34HfPFwODCgwdMZJeffrmmeSSmJhIQwszuvfshVhFNcc9BgAdHR3Gjhuf47H/Z1JTU7n89yVeRkcT8fw5sbFvUFGR0MnZmdUrl+PpnlY7p6+vj5JYTIdOnTl7+i8i05NUatWqzaNHj2jRqhUB/v6Z7Wr09PV59fIlLVq2IjIykuCgQAAsrazwu3ePfgMGEuDvnykw1arXwNzCgh69enP+7FnkcjkVDQ2pXLkyJqa10Cqhhe+dO5QspYOhoSFl9PRynOXL5XK2umxm84Z1JKU7svw0azajx3762SYmJNDW0Z6PcXHEvIlBmpKCWCzGsFIlKleugqbWl/7nH+PiePLkMc/Cw5HL5YhEIrS1S/Lhw3vkcjnq6hpc9/BCX18/2+t06dSezs5dGT5qtFD28JX515cHIa1SPC/Rio2NpVr1Gpw4dvSb1TwkJSWxZtUKdm3fRoUKFTl8/CQNG1kXKeaGtWvwf/CAuQsWKbR04O7qSl2zenm2MMjoB/Uql/2bDJq3aImJqSlbNm9UWLREIhFTZ8zMdIeXy2Ss3bg5X0+3oiAWizO9FL29PNmxdQuLF8xj47o19B84iIFDhmV7YGRw5fLfvH//HiPjajz5rCdTVoyMvqx1+y8gEomwz6XNz5/7D2W6mQBIJGqIxWJatbbHx8uL58+fIVGVMGf+QjRLaLJjyxYkEgkRz5+jq1sa1fQPCVk/VKioqCKVSvHx9spmuaRVQovjR4/w9MkTRCJRppg1bGTNm5gYKhsZ8frVK+75pmViWjdugpqaGr379ef+PV9epS+Hli1bjoFDhtCydWuWLlzATR/vL7JrIyMjCfvM31RdQ4OPcXEEBviTmJhIYmISyclJqKioUKlSZTQ1NUlMSERTU5MPHz6QmprKu3ef+mslJMSzfs2qbJ3A1dTVOXfpnwL9PAQKz3chWtra2lSpYpSZNvo5jx8/pmfv3ixdtJAb16/lamZZXAQHBTJx3BiCAgNx7tqNhUuWFTkjycfbi60um2hsY8vgz+yYciIpKQkfH2+GDM17H690eufdnAqMsyISiRg9bgITx47mnu9dhWxtMq6bMm0GSiKl9H5cqazf5PJVhSvjda0bN8G6cROCgwLZuX0bO7ZtZef2bXTp1p0Ro8ZgnKWQ+NCB/WhraxOdpZ15TmQtPhZIQ1lZOcefZ8b7/zlb0/fkUlNTeRf7FlWJBLFYmTOnT2X+bWqVKMG4iZPSXCy2biHA/wHx8fFIVFUZPXYcAf7+X3SUDn8WTlhYKFb1G2Z+L2Nf19f3LjVrmmSrnXO9cY3k5JQ0Y+TkZKytLGjRshVNbJuSnJzE2dOnvxh73IcPxGXJQNz5y+80srZGq0QJxGIxly9dZNjgvB3SDx3Yz5DhIwq9RSBQNL4L0QKwtLTMVbQAdHTLoK2tza+7dn410ZLL5fy6exerli9FTV0dl207aN+xU5Hjfvjwgcnjx1GiRAnWrt+oUFLD3Tu3SUpM/MK66XNUVVUppaOTr2gBtGvfIW2favMmdvzym8LjB5g0dRoikYj1a1cjl8vZ6LL1qwtXBjVNTFm7YRPTZszk1192sf/PPRw6sB97B0dGjhmLqqoq169dpf+gISQkJOQaR1NTM5vQCRQNkUhEKZ1PFmpdu/XI8bxV6zawcu163sXGEp8Qj4FBBRIS4gkJDiYqKooXUZEkJiYxasxYEhISOP3XqTRLM9KsxIYOH8m7d7E8evgwM6aSkghViYSwsDCqVjXO/P7Hjx/58/ffCA9/irqGRr73sHnjeqKjexP+9AnRL14QEJD7XiikGfPaOzoJS4D/It+NaNU0MUFDQyOzH9TnBAUFMnjYCDauW0NwUCA1TYo3ISMqMpKpkyfg4eZGE1tb1q7fRHmD4vGhWzB3NhERz9ngslXhTCZ3N1dUVVWpn0d2YQZlyujxKgf/wc9RVlZm5OgxzJ01k4chwQXObpo4ZSpKYjFrV61ALpezacu2Im+qF4TyBgbMnjuf8RMns3/vHn7dvYtunTuiXbIkYrGYsuXKEZtHq/R65ubfdUr3/zNpAqeTmeGqrq5BPXOLHGf87Tp0zDHGfT8/ggIDeP78GSVLlsLByQnX69cJDgpEIpEQFRWJRE0Np3btcL1+nbgPH3gWH57nuFJSUjh35jSeHu7UqWuWTRgz0NHRxcLKCnsHR9p16PhN6sAEcue7SMTI4MqVf/BI3xDOiZo1a7J4/lwc27TNsyC3oJz56xSzfppOQkICP82aw5Bhw4stxfv82TOMHjGMdh064rJth8Kf0Lp0ao9EVcKBI8fyPbd3j24oi8UKuYYkJiRg06gBzVq0YN3GzQqN5XO2bN7I6hXLcWrTlk1btxc6MaWoJCUl4bJxPZs3bqBbj56U0i2d5/k/YtagQOFITk7G092dxKRESE0lJiYGkUjExQvn8Pb0zJyRW1rVp2fvPixeMA/tkiV5/eoVycnJ9BswkEbWjalrVo8qRkb/8t0IZOW7Eq23b9+yxSXvB6mGujrbXDbh7nM7xw35gvD+/Xvmzf6Zk8ePUdPEhI0u24o1pT76xQscWjVHVVWVv69cV9iyKC4ujnq1ajJp6nTGT5yU7/kTx44mODiIC5cV6/S8ZfNG1q5ayXUPr0I7UWzbspmVy5bi4OiEy/ad/5pwDe7fF9cb15k9fyEREV8WeWZQs6YJ3XvkvHwl8N8jPv4jcnkqampqKCsrk5SUxMuX0QQFBmJialpsDi0Cxc935dipo6OTb3ZXRcO0dhZ//lGwPZnP8fL0wKlVC04eP8awESM5dfZCsQqWXC5n2uSJvIuNZc36jQXy2PPx8kQmk+W7n5WBnr5+tiLT/Og3YBDq6urs3P5lg0hFGT12PLPmzOPSxQuMGTksM+34W3L3zm2uXvmHPv0H5ClYAHbNvr0vncD3i4aGJlpaWpn7shKJBEPDStg7OAqC9Z3zXYkWpCVk5EVISAiDhg7nzz9+JyEh5/2vvEhKSmL5ksX06tYFmVzGvoNHmDN/YbFX92e4XvQfNDjNn64AuLu5oqWlhVm9/LuuQlp7kpiYGGQyWf4nAyVLlqTfgEEcPrA/M4W4MIwYPYbZ8xZw+dIlRo/49sK1Ye0aVFVVqVM37/fJxMRUaPj4HeK7bw7D2jTEvJoh1auZYuvUjzm/evJSsV/jr0PSVVZ268j8c7nvjeZNMtGeBzjvL835sCyU/ePb06ldGzq1a0Pn9m3p0qkzfQePY8muvwnN+kgr8lj+P/nuRKtGzZpfdNr9HIOKFdMy2NatK1DskOAgOrdvw45tW2jXoSMXL1/Fpqlis5mC8DAkmOVLFmNUtSqz5hS8+5m7myvWTZoonJ2np6dPavq6vaIMHT4iLVtyVx5NvhRg+MhRzF2wiCuX/2bUsCGZbTi+Nq43rnP92lX69h+Q2fE4N+zs7L7JmAQKgDSYAfP+hpaTWbf3JIf2bWayvSoey/owYLknH/OP8HWQv+Wxry9hr1PIuTw9n8tf7GVyv8VcepaLaKUmEBXkS5DUhLadOtO+YyecHJthXjaWq2sG0rHzHK68Sn9lkQY65Q0oo/XdPab/Vb67d0MsFtO6tX2e5zx6+JDxEyezc/tW7vvl7BCfFblczm+/7KK9kwPPwsNZv8kFl207ir0tBqRtAE8aP5aUlBQ2bN6Cunr+abdZef36FUGBgQovDQKZ6cGKpL1noF+2LN169GTP77/yLgcD0oIwdPgI5i9azNUr/zBy6OCvLlwpKSksmDObcuXLY1q7Tp4zTFPTWoKlzneINOA4kk6L2DS9Ny2trbBs1JquU7ezaYQRj/bt5NIXk4t4Xj4K5GHEO5JzCkgirx4/IvrjJ6mRvntOyIMAwl7lsiIjjSP6UQCBoQVfbZDFRfDQ35/Ql5/FlslIleefJqBcpRkDRoxk2IiRjBgzmekr9nLm6M/UefYbPy+9SCyAaiNGbN7OeLss2YryeGKeBhL4MIL3OfzaS+Ne8Cgg7Z4LI7o/At+daEGaQ0blyrl10UxDRSKhpokJM6ZOzjTLzIkXUVEM6NOLhfPmYm5hyYV/ruLctdtXq7PIcL2YMGmKwgW8Wcmw0ymQaGW4YiiQ9p6VkaPHEh8fz59//F6g63Ji8NDhLFqyjOvXrjJ88EAS86iXKip//PYroaGPmPHzbELyMMYFYZb13ZIKCRHhRGVTIFVqDVjLjg3DqacCEM+ZsXVoOmYFS50b0qRZC+wb1sOu+yIuR8gg4TgJJ0ZgbtOPiT0b0tjWFtuOKyAxiKPT29K4Xn0cHFvS0tKMFkM24vk64zGexKMTP9OjcV2sm7WkjZ05k/YFktNvrCzqAvOcatOwy0o838hBGs6FxV2xrVcfe4dWtLIyo8WQTXjHyJFH/cbg1ovwSX7L6dG1aDDhTIHeEvW6I5nR14iY8we4FCOHhFNMrFuToftfA3Je31hJ70a1qN+kBW2aW2Fl4cjM44+RAiQ95OTszjStZ0Fr+5a0tDKnzfi9BH29P8N/je9StEQiEU5ObfIUlufPnjF2wiQCAwLYvjXnrqBnT/+FQ6vmeHq4M+PnWRw4cixHN+7iIsP1op65BWMnTCxUDHc3V/T09ApUQ1VGL63PWEGSMQCqGBnRtn0Hftm5o1D7g58zYPAQFi1djuuN6wwdPKBYYn7Oq1ev2LB2NZ27dCUqKirPc2vVqpU5CxX4vlCu0x2Jx3w6Ne/M+Pkb2H/ehyexUpTKWdDKsQlV052fpEnxPD+9G7fq8znlG4zHsZnUebKTqbMOEiGXgSyJ+CfX8Ku4jKsBtzm0xhnP5cOYdSaVDpuvcS80iCt/jKfSvdWMmbqfZzJIvrueidMO87HVWs7df4q/224uzZvC7sDsS3rSZ3/xc+8xnFTpw/qd02msK8XfZRRT93+k9eoL+Dx6ws0zi7AK28DYn47xspQTM9YNwlRFG5upv7N1XEFt31SpXd8crcQA7gemADKSEhJIlqYiT/bll/lbeGG3iX+CIwgNuMrypm85umANl+OS8d04mp+OxNFyzT/cDQvl2s4eqFyYy087AwnKZaXyR+W7FC1IW/KysrLK85yn4eF06uzMpvVreRgSnPn99+/fM2XieMaOGoFeGT1OnT3PmHETvmphaYbrhURNjfWbXApddOvu5koTG9sCzQR1dXURiUQFnmkBjB47jrdv33DowP4CX5sTAwYNZumKVbi7ujJkYPEL16rlS1FVldCmXXveftaeIitKSkoFToAR+IaIq3Hs159pb/Qe732rmDWsI83NzbAfMJ/jAdk7mYurDmDJ4u7U1iuJgfUIlk9tidz1KOcj0mdOyiZ0GOKEYckKWNYI4+CxJ1QdtIJZHUwoqVaKqi3Hs3amPbLrezjx8CO3jx4nWL8nsxd0wVRXgqZRG34a0IyKsk9Pd2nkKab3mcglndHs2vMzNmWUIMmbgwfuU77fUuZ2qYe+uhp69fowb4o9KVf2c/Z1WUzNKlFCJEa3WkMa1ChT4LdFVKIEWqlxvH//2RJj6jtiP8iRJsaRkCRDXNIU5zlb2bp2GGbymxw/HoR+9wXMda6FjkSTKk4/M3/WAJpWlCETROvb0cTGNk+hefvmDR2du6CsrMKMqZORyWT4eHvRpnVLjh89woBBQzhz8dI36eaa4Xoxe+58qhob539BDjwLf8qz8PA83dpzQiwWU6ZMmQLtaWVQp64ZTe2asWPbVpKTc94tKCh9+w9g+ao1eLq7Mbh/P+Lji2db3ffuHY4cOsisufO4c+dOnuc2btKE0qXzLjYW+HepYj+eFfuu4HP/LucPuDBrUCOU7+xmWu9xHH7+acNGy6w+tSUZ/1NCx6wuleSPeRSWfo6SPgYV0pKWZJGPeBKnjWm9mlnsfpTQsTDHmKeEPnxLaFgUStXrUDtLwvDA+TNxrpPxjWS8t8zjVFgS6oamVC2Z9piUvwnmUXQK4Xv6Y123NpbpX81nXiIuJZzHj3PfplCU1Lg44tFAS+uzD62SxvQd1oTEM1NoZ1kLmzb9+HlfMNqmtSiX/IjHL5SoVqcun25JkwaDFzKta/b7/H/guxYtbW1tLC3znm35+voycfIU7t65Q+8eXdP7RiXx25/7WLR0WYETIQrD+bNnOHbkMHbNmtN/4KBCx3F3cwMoVEZjmfSOt4Vh9LjxREVGcurE8UJdnxO9+/Zj5Zq1eHl6MKhf3y/MUQvKu3fvmDR+LPYOjiSlNybMjZIlS2JbQOEX+JZICTq+Eo+MPSb1spjadWPEgt84sXccJrFXOHHpZXoigQgVlZyzaD8tRigjzjglVU4qInJaqEjN8g+RkhK5r2UooWszi19Wt0d+ah7LzqWPRSZDjip1B65l7cZNn75cdrN7zyb61y6qpZmUsPuBvFephkmNz2OpUWfUQS5fPsDKyT0w1wrnny1T6e00kD2P0+5ZSem/4Yf4XYsWQBMbmzxTvxMSEihnYEDDRtb4eHnRsJE1F698fSf4DKJfvGDmjGmULFWK1es2FCnBw93NlUqVKxdq301PT79QMy2Axk1sqGduwbYtmxWu9VKEnr37smrteny8vRjYtzdxcXH5X5QDMpmMSePGkJSUxIDBQ3j8OHdjZQAHR8dv6okoUHBSw/7ml79ffpHhplbREH1lUZa/o1RiHwYRkflrKeedvz/PxMbUqPblc0FsYExlzXcE3w8l66rYez8/HqdWpLKRDlWq6CMLDSQky8LCjpH9WPzXc9JeRhnTtj1p0Ws+PzmkcHrhQi68lKNU2ohKpeREx2lh3bIVLdK/7GqWAokOOppFe5zK31zlj2NBaDTthL1+9ljymFsc2eiCh8iOnpOWseXIDTwuzcLyozsX75aisp6MsKCgLJmVydzbOpzBC05xJuLfLHwrfr570SpRogQtW+UtQA8ePGD85Cno6OjwLDwcsdK3MUXN6nqxfOVqypYrV+hYqampeLi5FShrMCsZzfgKQ1rbkvGEhYZy6cL5QsXIjR69erNm/UZu3fRhYN/efMjSFkJR1q9ZxY3r11i6YjWurq55nlurVi1q1jQp7HAFvgnK1Og1nOtLh7HogBfPPsoBGe+fuPLLbBc8tVrS1Uk/8+GU4rubBds8eJmUzFvfP5m7/gqqLXvTrlwOHxC1WtKtgwHBv89mw9VnJCIj9v6fzFtzCZlVVzqYalK/a2eMIg6xcsN1IpNA+sqHXZeeolSuDNmeHEoV6DR/Fi2STrF48RleSmzp2rkK0YfmMO/QfWKlkBhxlfXj+jBs/DbuJICSmgQVkngfG5dnyrn8/XMC7vnid8+Xe7c9+OfwBqb3Gc+xuMZMmtmdcp89mZUkMfjsWcXC5X/yIFYGfCTifjAv5aUxNG5Gl07GRB5eyqYbESQh5dXNHazdcZFnSuUoW/r/yyT6u3F5z4sGDRoSFBhIeHjujs1urq6sWreBEUMG8dP0qWzbufurtw/IcL3o3KUrbdt3KFKs4KAgYmJeF1609PR59brw7hYOjk5UNTbGZdNGnNq2K9b3rluPnigpKTFl4ngG9u3FH/sOUqJECYWuPX/2DC6bNjJz1hwCAvxz7UgMoKGhgVObtsU1bIGviLhiTxY5/snGOc78Pl2MRALJiUqUrtuemb8sxbn8p6e2ck0zNA73w3p1MshUMLAbz4ZlXdBXOpZDmroWzWbtZO77Cawd0IjtKsqkpihTrvFw1q0bSXUx0GAKmxZHM2lJH2y3ilGSptB6wTkmNlTj84Diij2Y99NZOs6az1IHa9bP2MGit+NZMd2eozNUEMukqBi2YpLLQhx0AKkFDeqIWDfDErO/FvJg/+Ac7z/hxhK63kj7t0isilbpStS0HsSGTeNpXyMHH08te6YuG8Kj6XNobzYfdRUZifLSNBi+mqktdCnbeBsLXo5heb8G7BArIU1RpbLTXDZOaUS9/7M9re/KMDcv3rx5w84d25FKc0+F0dHVRS6VsnbVCpYsX0m/AXk3cysKD0OCae/kgG7p0ly4fDXP7sKK8MuunSxeMI/bfg8oXbrgWUe7d+5gycL5BIc9RSKR5H9BDhw+eIAZUyezZ/9B7Jo1L1SMvDh5/BiTJ4zD3MKCP/YdzLfFQ1BgIM4d2tHE1hantu0JDg7K8/xu3btjUswtawS+LvL4aEJDnhCTKEa7QnVqGJbM8kk6npPD6jAjcTE+vzry+v5j4nWNMTHSJX97ZjnxUcEEhsehZlADE8OSfDHfiI8iKOAJ71UMaFgv77rQz0l8GUzg4xhkmobUMDVEO2vwpJeE+IXyvkRV6psUc2F70iseBYbyOlmd8tVrU1kn+7wjPiqQwKfvUClvSq3KJX+MWUkB+WFEC8DHx4dLFy/keY6paS1OHT+Kt5cnh46dwNwiby/DwpCcnIxzh7b4P3jA/sNHFW5fnxdDBvYnKjKC839fKdT1p06eYOLY0bj73KJChYqFipGcnEzTxg2pUsWIQ8dOFCpGfpw6eYJJ48ZgVs+cPfsP5ir2r1+/wrlDO2RSGctWrcHNLZ9lwdq16dKl69cYssC/xifRurm3L0X7WCjw/8J3v6eVlQYNGlCpUt6fiAIDAxgyfAR6+mUZOnAAz8KfFvs4Mlwvhg4fUSyCJZVK8fb0KPTSIIBeeoFxYfe1IK0L8vCRo/H28uT2zZuFjpMXnTo7s2nLNu773aNfrx68y6FpY0JCPMMGDeRldDRLV67C3d0tz5gaGho4ObX5KuMVEBD4vvihREskEtGhY8d8M8Pc3NyYt2gxKdIUBvbrQ2weRagFJcP1olr1GkyfOatYYt7z9eXjx48Frs/Kyif/wcLva0FaqnrJUqXY4rKpSHHyokOnzmzeuh3/B/fp07N7tp9PWqbgWHzv3mHFmnXcuXOH/BYD2rRpi4YCrdUFfjQ0aL/Zl1s7ewqzLIFMfijRgrSeW44KfKr28fZm4ZJlPAsPZ/iQQcVi4vrhwwemTBiPsrIyGzZvKbZ2Jh5urojFYhpZNy50DL0y6TOtQrhiZEVTU5NBQ4Zy5fLfBAYEFClWXrTr0JEt23cSFBhAn57dePvmDQBLFy3g4oXz/Dx3PuHh4ZkdZnPDzMwM01q1vto4Bf5dlNW10db4f9yZESgsP5xoAZibm2Nubp7vef7+/syat4CbPt5MnzIpz8wzRVgwdzbPnz9j8rTp1Klbt0ixsuLu5oqFpRWampqFjlGyVCmUlZUL7D+YEwMHD0FNLa1D9NekTbv2uGzfSXBQEH16dsNl4wZ+3b2LgYOHIpPJ8k2P1y9bljZt233VMQoICHxf/JCiBeDo1EahuqiIiAjGT57K6VMnWb5kUb5LTblx7sxpjh05jGX9+owaM65QMXIiISGe27duFrmvl0gkSqvVKuJMC0BXtzS9+/bl9F+nePrkSZHj5UWbtu3YunM3wcHBrFm1gtYODlSsVJk36TOv3JBI7Zw3mwAAFfBJREFUJHTr1l0oIhYQ+I/xw4qWiooK3bp1V2gvIyEhgf4DB7Nrx3amTZ5YYI+96Bcv+Pmn6WhoaLB+o0uxGu/eunmTlJSUIiVhZFCmjF6REjGyMmzkKJSUlNi+1aVY4uXFh/fvkctk1Kxpgq1dc6KjX+R5vkgkwrlLF3R1db/62AQEBL4v0kXrLefndqLr1EM8z+b48Y6/FzjTuUNP1nlm3xOS3t/OyE4D2LR7EePOFM6eR2HiL7Kkc0e6dV7AP1m2OHR0dOjVu7dCHX4l6uqMGjueY0cOM7BfH4UbH2Z1vZi/aAmVq1Qp7F3kiLurK2pq6sWSmq+nr8/LYphpAVSoUJHOXbpy9PAhol/kLSJF4ZddO5k2eSL2jk707Nef58+f53tN27btqFat+lcbk4CAwPdLumiVoEqpeO6dvcitrPrz0Z1zJ/x4GOTOqfN3s/hayYhwPcuVEGXKqj3h7fuv7H0vfUPYPV/87oXx5jMbLQODCnTt2k2xMDIZM2bNwcfLk66dOvD8+bN8r8lwvWjt4ECPXr0LM/o8cXdzpZG1Naqq+ZdL5oeeXvHNtABGjUnrwLx75/Zii5lBamoqa1evZPGCeQwaMowGjayJjIjI97qmTe2wsCz+2jsBAYEfg3TRUsbY1poKCX7c9kvKPJh4+yreiQ3p06M6L9yvEZypTe/wuRmAsnkzrNXTvaCS3/Is0J+HUXHkas8oiyMyxJ+ARy9z7BKKLI4A/0e8LGC3zeo1atCxU2eFzn3z5g1zFiwi+kUUzu3b4nfPN9dzH4YEs3zJYnR1S7Ni9dpit4V6FxvLfb97xbI0CGkzrdevXhdLLIDqNWpi7+DI3j17irVsQC6XM2/OLDZvWM/sefPRK1uWlwqIbf369bFr1qzYxiEgIPDjkbmnpWpmS0PdaO7eSm/fTDIPrrrzpnYzerWzodxjV248SZejxFv43JVi2tSO0krw1nMFPRvXo2nrVtg3MKPV0F3czyY8Up6dX0hv6zrYtGhF22bmNGg6iK1er9NNJT8db+tgi7V5E0a4eBJTgGQ/MzMzOikoXBEREcyYNQeJRI0eXZw5mUNLjuTkZCamO4uvXLOOMukp5cWJh4c7QJHqs7Kip6dHQkJ8kduAZGX0uAkkJMTz+6+/FEu89+/fM2bkcI4cPMjGLduIT0jMs5ljBlZW9XHMp5u1gIDA/z+fEjHUG2FjpU7o7VvEygFpCNfdIqnWtDmVLZrTSCcQt+tRyIFkfy/uvDfGxs4QMXD/WggNVlzF73EIl9Y6IP17FS5nPz2Ikh9sZvzEfXx0WMtfd8MI8j3H3PphbB45g5NR8mzHA0Pvc3JBA8I2DGf28ag8nZI/p66ZGZ07Oyt07tOnTxkxZhwWlpZMGjeGmdOnkpilJmj9mtUE+PvTo1cf7B0dCzAKxfFwc6WUjg61atculnh6ehkFxsW3RGhpZUUj68b89uvuIovhfb97tHNszYP799nxy688fPhQIdd3K6v6OLURBEtAQCBb9qA21jb14MFNfJNA9vQq7mGVsG1WFWX1hjRtqMb9Gzd4I5cR5X2T5+WbYFsjLQGiep+5TLI3RltVmxqd+9GifBJPw8LTZ2xJ3DqwH3+DASyc35W6+hqo6ZnTc+FUWkn/4dCZsGzH1dX0MOu9mEn2Uq4eOE1EAUur6tSti7NzF4XODQ9/StPmLRg7YSIH9++jU/s2PHr0EB9vL7Zt2UxFw0rMW7ioYAMoAO5urjRuYoOSUvEkcWa6YhRTMkYGo8eN511sLPv3/lmo61NTU/njt1/o0rE9tWvXYemKVbi7uytU8F2/fgNBsAQEBDLJknanhJ6tLTWWHOd2UBK1fK8TpGfDtNqqgDKN7erDMnduxjsRdzOIktYTMEvPHShb0fBTIJE66hJITkpOmyXJ3xAS8oKUp78zxOpAlm6hUuI/pKAb+oCQ0C+PS+M/kKIbytMUKGhLxNp16gBwQoFOvG/evEFZWZnV6zayYuli2js6oK6uhkgkYsNmF7S0tAr46orxIiqKsNBQhgwbUWwxv8ZMC6BZ8xaY1qrFrh3bGDBocIFc5N+9e8dPUyfzz+W/mTV3HppaJXB1vaHQtQ0aNsTBwVEQLAEBgUyy5YqLK9tiXXEDvrdDMXK/h2bj4ZhLAJTQbWpHnYTdeN3yIuGeMvXnNUSdtPYzYnFeKedSpHJQNRvMionWn7UUEKFWrgz+c3M+LlIzwFQFSKLAFES4pFIpwSHBzJg1m0P793Hn9i1MTEypXqNmwV9YQdzTXcuLKwkDoIxe8Vg5fY5IJGL02PFMGDua40eP0LtvP4Wu8/byZOqkiSgpidj9+x78/PyIiIxS6NqGjRphb+8gCJaAgEA2sq9LqdamSSNdQm7uxf2eMg2aWZNRuqtU3g6b6q+4f+ocd+ItaGqjWBM/lEpjVLkU8ugPaDX+1KK6RbOalERCqdKGORxvTo2SICmlS1E6WNeuU4eevXop7Jrw8OFD7J3aMHrcBEJCgmndzJa/Tp4otItGXri7uVLewIAqRkbFFlNTUxM1NXVeFYOV0+e0bd8Bw0qV2LZlc549zQCiIiMZP2YUPbs6Y2lpyeJlK3Fzc1O4Nq5Fi5aCYAkICOTIZ5KghpVtA+TXDnM5zhK7rMIkNsLW1pCQM+d4ZmqHra6iaqJBk+7OVH5xiAWzD/LgrRQSn3N9zVgGDRrLrjtkOy4lkYhrq5jUfwCTdtymqDa31avXYMDAgQr7+sXExCBPTWXl2g2UN6jAhLGjGdCnF08ePy7iSD6RmpqKu5srNrZNi/XBnGblVLy1WhkoKyszcvRYwp8+5dyZ0zmek5iYiMumjbRoaoOXpwfrN2/BqmEjXF1vKCT8SkpKdO7sjI2trSBYAgICOfKF8mg0tqWeLA6pWTNsSmc9rEqtZo0plZhMNdtmlC+Ak5F645/YvLQ9yhen0r5uFarXbMCgXVFYTd3KXEedbMdNqlTDtt8uXtSfzsb5TpQqhpssX96AwUOGol9WsS6iMpmM4OAgWjk4MnnadHy8vXBo2YzNG9YX2AIqJ8JCQ4l+8aJYlwYz0NPT+yozLYBuPXpSpkwZtrpsyiZCqampXL50EfsWdqxZuZxOXbowe/5C/P39efYs/wJuSOuJ1bdfv2I1IhYQEPj/49t2Lk58ycOAMGJkWlSsaUpFbfEXx33uPkHT0ASTitpftscuIikpKZw/dxY/P78CXaevr4/r9Wu4Xr9G5SpVmDh5Kh07OytkH5UTe37/jXmzf8bnzj2FhVRRRg4dTGRkJKfPXyzWuBlsddnEquXL+PWPP2nZ2h4vTw82rluLp4c7FQ0rMX7SZJ49e1agVjAGBhXo1r072traX2XMAgIC/z98W9H6DkhNTeXOnTtcvHC+wK1KSpQowV/HjxEa+ojKVaowYdIUOjl3KbB4jRo2hEePHnH5mmJZdAVhzs8/cfnvS3jdulvssSGtOLhJA0vKG1RAV1cXby9PNDU16dt/IKULMcuzsqqPvYNDoT8ACAgI/Lf4zz0pRCIRVlZWGBoacvqvU0RFKZbNBmlNIFs7taGPnh4ebq5MnTSBTRvWFUi8ZDIZHh7uOHdRzC+xoOjp6fP61StSU1OLfV8oNTWVB/f9KFFCm4chwZQ3MGD6zFkoq6jw6tWrAgmWlpYW7dq3p3r1GsU6RgEBgf9v/nOilYG+vj6DhwzFy9OT69evIZPl6piYDZlMRtSLF1SraYJTuw4EBweyaME8Nm1YR7fuPXFs04bqNWrmKhgB/g94/+5dkftn5UYZPT2kUinvYmMppaNTLDFjYl5z8fx5jh05zO1bN6nfoCFDRowkOTlZIQumz6lnbo69vUOxdX4WEBD47/CfFS1Iy1ZrYmNDjRo1+Ouvv4iMzN9lPIOMZA2xWJllK1cT+/Ytf/z2K2tXr6SKkREOTm1wdGqLhaVlNscLdzdXRCIRjawbf41byuaKURTRevMmhovnz3P29F94uLshEono2NmZfgMH8fTpU6Kjowscs0SJErRr34Fq1aoVelwCAgL/bf5ze1q5IZfL8fb24trVqwrPuj7H2NgYiUTCyWNHcXO9gVwuR09fH3sHR5o2a06TJjaMGz2S9+/fc+rs+WK+gzTu3rmNc4d27D90pEBGvHK5nOCgILw83bly+TLubq7I5XJ0dHTp0as3JrVq8/BhSKGzJ4XZlYCAQHEgiNZnxMTEcOH8eR4/Dit0DE1NTYyNjYmLi8Pb04OrV/7hfXphrUgkop65BVOmz6BBw4aoq+ffebkgPH/+DNtGDdjgspXOeXgwymQyAgMC8PbyxMvDHR8fb97FxgJQ08SEVq3tMa5ek4TEhCLVqKXNrtoLTRsFBASKhS9ES/Z0HzMm7OVRFtMDkUiEWFKCMlUscRw4gs5mOl8WeOWKjJdef7D990v4v5SibdSQdoNH0LFOqfQYcmLcfmHbpadZ+nApU8lxAgNtdAvwOsVHamoqQUGBXLp4USEX8rzQ1NSkevXqpKSk4HbjOufOniEhPh4AFRUV6plbYFavHnXN6lGnbl2qGldDLC58sn9iYiImxlWYPW8Bw0eOyryfyMgI7vv58eC+Hw/8/Lh962bmvUkkEprY2NKkqR36ZcsSFRXF62Ko9TI3N6e1MLsSEBAoRr4QLWngGjo7bUDaeSbdamfYH8lJfveUW6ePcu2lKVOPHGVsXcVMU2OvzqLrsIPIbXrR0aok0W6HOOFXjjEHjzPRQg1I4uq0Rgw7kUQZHbV0w1wV6k08zrb+Ff8V0cogOTkZL09PvL29SEoqhAHiZygrK1O5ShVITSU09BE3rl4hJDg42znq6hrUqVuXeubm1K5TFzV19cxjSkpKlC5dGn39sujr66OsosKbmBhev37N69evMluHTJ4wDlvbppjWro2fry9+9+7x9u2bbK+jr1+WVvYOmNaujYaGBuHh4cSni2lRMTAwoHmLllStWrVY4gkICAhkkItobaLc6kB298hufSR/cYCRLafh134vN1a1IF/Zkj/jt552rFGazYX9wzAUA4neLLbvyplGe7ixpiUSWShbO7fgz1p/cm1ls9xjSuMIDImmjJEReuo5SVkiMY8f80qkh1GVMmlxkt/yLCyKJN0qVCijQY6XKUBiYiI3fXzw8vIsFvHKioaGBtra2kgkElLlct68eUNQgD/3/fyIiHhepNja2tqYmNbCxLQWhpUro6amhlQqIy7ug8I+gAWhQoUK2DVrRtWqxoINk4CAwFehQNmDSrpVqKgDrjFvkCHnpdvv7HWP/rJRo7g8NoMG0LhMebqs/QsrWSUqZKx4iURpy40q6S+dFEBgmDKmfermIlhJPDqxgFnLDuITmYBY24QOc7axvK8p6sRzZmxD1in1p9mzvey9+YoUVCnXcjYbRiSybco6rkcmgVgXHYsBbN0zk8YlC/YGAaipqdHUzo6GjRrx4MF97ty+XajsuZyIj4//YoZTxbgajZrYoKOjg0iUVWlTkctTSU5OIv7jR6RSKZpaWkgkEsRiZdJ0Ik0sRCJISZHy4kUUb9++Lbbxfo6amhq1atWmrpkZFStWFMRKQEDgq6K4aMnf8WDfds6Fq2LW3xwJcp75nmbfHwGkfBG1Dtqd+9O4jDIlK9XFDJC/9uXCxeu4n9rLKWkb5gxrggSQPnrAw48aaFwahf2KW0Rr1MVp1Hxm97ekpBIk313PxGmHoftagudacG3FSCbPm4Kx5WnGm4I0KZ7Hl/ZRcfp2rh+wQnZxGr0nLGFgQENGrr7BFmtlfJb2ZcW+nWw/PYTG/fQL/WZJJBKsrOpjaWlFZGQkN2/68OD+/ULHyw2pVEpERAQREQqk4H8Fc1xFqFy5Cg0aNKBa9eqCm4WAgMA3I5enTQoey1vSbGPGp2Y5iW+jeflBFeNOS1g8yBgxUHPcCW6PU+yFkgPOsfeYO9GPY1EtKyE+Ng45pYgLCOSpNJ6K6nZM2fETr07MYe3c/rwSn2N3v3LcPnqcYP2e7FnQBYkaOM5czE/KV9GWfcoUERt1Z9JIGwxUAac2WJU4yW2nKYxtWRkJYNPOhsZXwvCOjAIKL1oZiEQiKlSoQIUKztjZNcPNzZX7fn5fpYXJ94aRkRFN7eyoVKnyvz0UAQGB/yC5iJYY4zYTGWypQmryC24f3sWRtyYM3v07sx3LpxvZynntc4ij3i/5oqpJXJZGPXtQP4tLvJrdLPbaAR/92T28O0vGqGN8dRWN7eeyZ38chjYWlBMDDXfBUzsW/XmIkB6DCQ2LQql6HWpnJKBpNmLg/Ebp/0lbVlMqb4hh5p1IkKgqUbqsfubNiVRUUVUBuaxgXoOKoKurS8eOnWja1I6AAH8eh4URHh5eYF/D75ly5cphVLUqJiYmVKhQ8d8ejoCAwH+YXERLibLmnejSLS0Ro2uXVhgN7MrKmTMwMtpN/xoSQM5rj71s2ZzD8qBKXUT23alfGkCOXK5EpimEZm369LVj0xgfPEOkNDWvTgO7rC+tT+1a5eDkC6JkQCqIlJTIc6dEWQXVz5IsvvXWio6ODjY2ttjY2JKSkkJ4+FPCQsMIDQstlvTxb4lEIqFa9epUr14DIyMjhXuRCQgICHxtFNuMUKvF0A3L8OswjsUjl2B8ajFNtJUxmXSW+5PyuC7pOgtaD8fD8QBn5lihCoCcuDexpIg0KVEiGfdlzix92I51u0ZhogzI3xH6+BWicoYYqmqjWkUfmXsgIclQXxVIvsuO8Wt52W4FszrqFvkN+BqoqKhgbFwNY+Nq2JPmjB4WGkpYWCiPHz8mISHh3x5iNkQiEeXLG1C5cmWMq1XD0NCwSLViAgICAl8LhXfQlcp3Yt6iK9wZ9RuzV7Tk5LIW5JuIJzHD2lKDP/cvwaX5VsY10eGN1y/M3uSGqu1S2lVRo4SZIa93bGHZdjNWj7Dm8W/T2HhVFbvlXakqlmDYtTNGh/exckNLjkypxa1dK9l1KQLnoWUQf5m3+F2ira2NuYUF5hYWpKam8uLFCx4/DiMqKoqX0dHExMR88/Holy1L2bJlqVSpMoaGhqiqqn7TMQgICAgUhgKkfSmh5zSP+d29Gb1vJstbnGeFfX4zHR0cFuxg2vsJbO5lyVaxGKlMlUqtprBtTX8qiZWg7SI2TprA9PVdsV4tBmUDmk/eyaqelRAD4gZT2LQ4mklL+lBji5wU1So4zt7KxIZqZOxp/UikzWrKU758+czvpaSk8Pr1a+LiPhD/MS0F/mP8R+I/fuTjx4/EffzIx7g4pFJpHpHTio/VNTTQ1NBEQ1MDTQ0NNDW10NTSRFNDE00tLfT09ASHCgEBgR+Wb+Q9KONd+ANCIpPQqJhzV2Lpu6cEhURSskZDDEvmsDQVH4X3/WjKm9ShUkkhxVpAQEDgv4hgmCsgICAg8MPwb1r7CQgICAgIFAhBtAQEBAQEfhgE0RIQEBAQ+GEQREtAQEBA4IdBEC0BAQEBgR8GQbQEBAQEBH4YBNESEBAQEPhhEERLQEBAQOCH4X96Atd2eSAcWgAAAABJRU5ErkJggg==)
physics-General
physics-
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. Net torque on the rear wheel of the bicycle is equal to
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)
A bicycle has pedal rods of length 16 cm connected to a sprocketed disc of radius 10 cm. The bicycle wheels are 70 cm in diameter and the chain runs over a gear of radius 4 cm. The speed of the cycle is constant and the cyclist applies 100 N force that is always perpendicular to the pedal rod, as shown in the figure. Assume tension in the lower part of chain is negligible. The cyclist is peddling at a constant rate of two revolutions per second. Assume that the force applied by other foot is zero when one foot is exerting 100 N force. Neglect friction within cycle parts & the rolling friction. Net torque on the rear wheel of the bicycle is equal to
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)
physics-General