images
listlengths 1
1
| problem
stringlengths 14
321
| answer
stringlengths 1
103
| id
int64 91
70k
| choices
null | ground_truth
stringlengths 1
103
|
---|---|---|---|---|---|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/350.jpg"
}
] |
<image>\triangle K L N and \triangle L M N are isosceles and m \angle J K N = 130. Find the measure of \angle L K N.
|
D
| 64,798 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/351.jpg"
}
] |
<image>Each pair of polygons is similar. Find x.
|
A
| 64,799 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/352.jpg"
}
] |
<image>Find the value of x in the diagram.
|
B
| 64,800 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/353.jpg"
}
] |
<image>Find the area of the shaded sector. Round to the nearest tenth.
|
A
| 64,801 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/354.jpg"
}
] |
<image>Find y.
|
A
| 64,802 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/355.jpg"
}
] |
<image>What is the area of rectangle W X Y Z?
|
A
| 64,803 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/356.jpg"
}
] |
<image>Find x.
|
A
| 64,804 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/357.jpg"
}
] |
<image>Find \angle 6.
|
A
| 64,805 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/358.jpg"
}
] |
<image>If m \angle 2 = 70 - 4 x and m \angle 5 = 18 x - 8, find m \angle 5.
|
B
| 64,806 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/359.jpg"
}
] |
<image>Find S W.
|
D
| 64,807 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/360.jpg"
}
] |
<image>Find m \widehat W X.
|
C
| 64,808 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/361.jpg"
}
] |
<image>Find y if \triangle J L M \sim \triangle Q S T.
|
B
| 64,809 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/362.jpg"
}
] |
<image>Find the value of x in the diagram.
|
C
| 64,810 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/363.jpg"
}
] |
<image>Find m \angle 2.
|
B
| 64,811 | null |
B
|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAfsAAAH3CAYAAAC8SfapAAC7i0lEQVR4nOzdZ2Bc5Zn3/++ZXqUZtVGXZcu9dwyudAiQ0BPSgPQekmxvz/N/NtuS7KbspickJCGEDguEbmyMbdx7L+rSjEaakabX838xo5FkDNgqVrs+LzaRIx0fa2fOb+5yXbeiqqqKEEIIISYszWjfgBBCCCFGloS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnG60b0AIMTrSyTiRYA/BSAJVZ8GeZ8Vi1KGM9o0JIYadhL0Qk4JKzNfM8V2bef2Nt9i97yinmz34wwlUABS0RjuFFbXMXrSC1Vddw7qVc6nK14/yfQshhoOiqqo62jchhBgpKhH3MbY9/zC/f+wVdp/uJJpMk1ZVzvfWVxQFRdGg6KyUzl7Nh+69n7uuXUyFVVb8hBjPJOyFmKiSfk5vfYrf/OQhXtjVSCCpkr6It7uiaNDl1bDy1k/x+U/fzspKk0zxCzFOSdgLMQGp4SbefupX/PjnT/J2Y5DUOW9zjcFGYWklFeVF2PSQCHppb2mh3Rsglu7/nQoacxnLbv00X/7SPVxeYbyk/w4hxPCQNXshJhg13MDWR3/Gj376FLvdUXI5rzFRVLeMKz90F7dedxlzqhwYFAVFAVSVVKyblsNv8cKjj/DM67s560sAKulIG7uff4xHSkop+cz11FllfC/EeCMjeyEmkqSXfc/8kv/+4UNsboyQzr679c46rrjtU3z2kx9gcYUVnUaTCflzqGqadMTD4Zd+z09/8gdeO+EnBYCWgsUf4jNf+zr3rq9Etu0JMb7IrhshJow4rW+/wJN/epK3+gW9sWwZH/rS3/MPD9zJ8io7eu35gx4y6/Rai4v5H/gkn/7MnayuMmbX6VP4ju5k25ZtHOmW8YEQ442EvRATRKJ1FxtffJ5X9nhJZPNYV7iA6z/+WT77kdVU27TvGvIDKSiGIhasv4Zrr1mGK7vYp0ZbOH3sMEdP9SBxL8T4ImEvxESg+jiy/U02vrEPbzIbxYYylt5wO3fevp4pVu1F7qRX0BXNZt6ipcyr7J20T+GuP8Opk2cIStoLMa5I2AsxAcTq97LzrbfY3RLPjrq1FC9cxzXXX8vSEv3gSuYUK9U1U6irLUWb/aNUlxd3ezsdqeG6cyHEpSBhL8R4pwY4dXAvu/ecIJAtm1Ps01m+ei1rlrrQD3rzvILZ6aSwyIk5ew011k23z4cvLEN7IcYTKb0TYpxTu09x7NBBjjTGsn+ipWj2YpYuX8oU89DK5HTlK7n9L/6bdZ8Jk1QBRYs5v5BCi5TfCTGeSNgLMa6pdJ85zcnjJ2nvnVrXuZgxZz7z5hTlpt8HTWcmr7gSe3H/P1QucKOfEGKskLAXYjxTwzQ31nO23kNv1mtd06ibOZO6/GFapVMUaZMrxDgna/ZCjGeJNtpam2hx90a9hsLKampra7BLQgshsiTshRjHUr4OOtrdeOPZDXOKjZLyCsrK8+XNLYTIkeeBEONY0uenq6OT7t7Da7ROikpclBTLCp0Qoo+EvRDjlko42EN3IJhbr1cs+TidDpyGUb0xIcQYI2EvxLiVJhwKEwqFc+1rFYsFi9WKHEwnhOhPwl6IcSyRTBBPJHNfK3ojJqMRo7yzhRD9yCNBiHEslUqTSvXrXasoKBpF3thCiAFkF48Q45hWq0Wr7WudoybixGJxYmkwDSXxY83sfe1Fnn9pH54UgIb8usu55sabWDPDJnX3QowzEvZCjGNGkxGzyYhCZt1ejUYIh8OEVMgf9FVVIg2H2P7nx3n0hZNEVUDjYOGH5nG11SRBL8Q4JLN9QoxbGvLsdhz5fSNtNdBJZ4eHztgQDqpRuzl5+AB79p0hnEqTTqdRbVXUTJtOnUvGB0KMRxL2QoxbCqbCIopKirH3vpNTHbQ0NtPUHB/0VWON+9i19S32tCSyf6LDNXMeixbPp0yyXohxScJeiHFMW1JBZU015bkzaKM0nTzKkSOnGdQptLEmdr3xMi9uPJxr1KNYp7FwxWWsWFgoDwwhxil57woxnukrmVo3ixlTrNmpfJVo/R7efustdrUm3ueHz5Hu4eTm53jy0Rc50Nm7w99A2aIVXL5mJdOGeFyuEGL0SNgLMa4ZqJq3gEVL5lDYuyk/1cWhjc/xzDObOBO6wOF9spvTGx/hlz/+LX8+4s+cXQ8YK5Zz1Q03c+2SYTguVwgxamQFTohxTleygMtWr2X37qM8dySAikqi8xAv/faHpOJRPvvRa5hTbHyXn1aJek+w9akH+fXvX2BXU5Ckmkl6xTqFVTd+kA/dsIQinYzqhRjPFFVVh7BtVwgxFqSDp3j9dz/mRz9/lsO+7BS8oqA1OKiYvYx1N9zAhlWLmV1TSr5ZId7tpvHUIfa89TqvbdzGvpNuQokU6d7D88wVrLjtM3z5i3ezstyERrJeiHFNwl6ICUEl7tnP8w/+Dz/53eucCaZz/4ui0aDRaNFoNGg0CoqiQDpNWs2U1aVTadL9HgO6vFpW3f5pvnD/h1hWaZGgF2ICkLAXYqJQ08R9J3nzsV/ys988z762COn3/6k+igHHtFV86P7P8vGbV1Bl00nQCzFBSNgLMZGoKulkgJaDm/nfh3/PU6/vo6Er9t6hrzHirFnI+lvv4e5b1rGgKg+9ViOd8oSYQCTshZiA1HSaVCpKT9tpDu3czq4DJ2ho9dDZ1UMormKwOXAWlVJVN5fFl61k8axqiqx6tFqtjOaFmIAk7IWYyFQ1sy6vplFVlf7vdkVRUBQNGo0GRaPISF6ICUzCXgghhJjgpKmOEEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcFJ2AshhBATnIS9EEIIMcHpRvsGhBAjK5VWiSXTJFMqiqKg0yroNApaDWgUaZIrxGQgYS/EGJdIqXRHEniCCTpCcTqCcTpCidx/eoNxusJJQvEUkUSaSCJFNJkmkkgTTaRJpNVMX/zs9fp3wdcoZINfQa9VsOg15Jv1OM06HGYdDrMeh0mb+U+LjkKLnlK7gcp8E2V5BmxGLYp8YBBizJPe+EKMMlUFfyTB2a4op71hznRFqO+KUt8VpcEXwR1IEEmmULPfm/kZNfd1/z+HbKj3ft9F3IeS/T9K9isl99/p99+zf66AXqPgMOuozDdRmW+kymGkymGittDEzBIrNU4TZr120L8XIcTwkbAX4hIKxlKc8obZ3xrkQGuAQ+0hTnrDdIQSJFOZoE5nT6dTVUgz8KS6sUYh+0FAUXL/XaNkPhDYDFpqnCZmu6zMLrFk/tMlHwKEGA0S9kKMkM5QnCPuUDbYgxxoC3K6M0IwliKtZkI9rTJgin2wtAqYdBpMei1mvQazXoNJp8Gc/dofSXKmK0IglgKgMt9IjdOECiRTKsm0SiKlEoqn8EcSBOIpEqmhPxo02Q8Cmn4fAvKMOmYWm1lelceK6nyWVdmpdprQa2W/sBAjRcJeiGGgqtDWE2NnUw9bzvh5q97P8Y4woXjmHPn+4X6htAoUWvRUO02U5xkptukpthky/2k1ZP67NfNnDrMOnVbJrcfnVtGz0+9PH+rg/3v5LEfcIQC+vLqS/++6qZgN/UbYat+0fyrdF/z+SJLuaBJfJIk3GKelO0Zzd4wmf4xmf5S2QJxQPHVRvy9N7wcATWazYKnNwKIKGyuq81hZnc+CMhsFVv1FXVMI8e5kg54Qg5BKqzT7o2xv6OGtej9b67s53RkhkkiTVlVS6Uy4vx+DVsFlN1JXZGZaoZm6IjNTC83UFpipzDeSZ9LlRsbQu3bet57e/+v3otcO/B6domDUZUb/78Zq1FJiM6D2W0rILDMM3DOQSKXxhRM0+WM0+qOc8oY56g5z1BPiTGffbEJ/uQ8+aZU4cNYXocEf5bkjXjRKZi/AwnIbV9YVsL7OybxSKxaDTP0LMVgS9kJcoGAsxb7WAC8e7eSVk50c94SJJlVSafWCRu1Wg5ZphWYWlNlYWG5jQbmN2SVWCq16NBoFDX1T3v3XwUdL34a9fjv1Bv6vAJj1GuxGHVVOE5ep+Zm9BtnfRzSRork7xjF3iKOeEEfcYQ60BjjTFSWWTOeuoaqQUlUyHwtU3IE4r57wsfGUD61Gocxu4LKafK6c7mTtVCdTC81oNaP52xFifJGwF+I9tHbHePOMnxePdfLmWT+tPTGS6d6Af/efM+s1TC8yc1lNPksq81hQZmNakRm7UZdbv9Zk69wnQmT1zjBo+q8fkPk95Jv1zHFZc0sZqbSKNxTnQGuInU097GjsZl9rEHcwPmAGIaWqpFJASuWsL0qjP8YTBzsw6hRmFFm4YXYhN80pZmG5DeN7zFAIISTshRhAVeFMZ5gXjnby3BEve1sD9ERTpNIqKfXdd8bbDFpmuyxcUetg9RQHS6vsuOwGtIqSGbWPgZH6aNFk1xsyk/CZ30CV3kxFvonrZhWSUlWiiTSNvgi7mnrYWt/Nm2f9nOmMksx+olJVSKqZjYSxJOxpCbC/Lch/bWpiaqGJ62cVcsvcYhZX2rHITn8h3kHCXgigpTvGy8c7eWy/h51NPbmAT7/LTnmzXsO8UhtX1jlZM9XBwgobhRYDWg2ZgFfefx19MlOUzO9JC+hRMOk05JnszCm18dGlZcRTac52Rth02s/rp3xsb+imPRDP/XxahXRKJZFKcag9xFFPmP/e0kJNgYlrZhRw67xiVlTnyTq/EFkS9mLS8oYSbDrt49F9brac9dMZTuam6M+nxGbg8in5XD+rkPVTHVQ5Tei0GrTZXeWS7UPTu7yh02Q2D84ry4T/Z1dVEIglOdwe4vWTXbxyoot9rUEiicyaf//gP+YJcbIjzK/ebmVGsZnb5pdw+4ISZpZYpDWwmNQk7MWkEkum2dnYw+/3tPPy8U5ae+Ik0yrp9DtH8DqNwrRCM1dPL+CG2YUsrczDadGh1ShoZeQ+4gaGv4E1U/VcPsXBX105hfquCC+f6OLZQ152NvUQzJb+5ab74yn2twY51B7iB282saIqj48uLeWaGQUU2wyj/C8T4tKTsBeTQltPjOePePnd7nb2tgSIJNLnXYPXKDC9yMLNc4v40Lxi5pfZMOk1ubV3yffRo1EUNFrQa7XMdtmYXmzlc6sqaPZHee2kj2cOdbC9oQd/NAn0jfi9oQQvnejitVM+yvOMXD+rgI8uKWV5VR4G2dgnJgkJezFhJVIq+1sC/G53O88d9dLcHSOZUs9b/17tMHH9rAJuX1DCsqo8bEYtOo0iU79jlKJkegfotVrqiqzUFlq4d0U5bT2ZvReP7HXzdmNPbqo/lV2eqfdF+MX2Vh7e42Z5VR6fWlnGdTMLcVqkgY+Y2CTsxYTjCyd4+Xgnv97Rxo7GzBTv+UbxJTYDV9Y5uWthCZfXOnCadWi1mSl6MX4oSqZJkE6jMMVp5lMrK/jY0jKOeUI8sd/Dkwc7OOEN584bSKoq3dEkG0/52HLWz4xiM/csKeWuhS5qC82j/c8RYkRI2IsJo70nzlMHPTy4s5WDbSESqUy5XH86jcLCMhsfW1bKTXOKqHKYMiN4maKfEHLBb9CyuCKP+WV2HlhfzdsN3fxht5tXT3bhDSWAbB1/UuVQe4h/fPEMP97azI2zirhvRTlLKu3opGmPmEAk7MW4V98V4Y973fxhdzsnvRGS6fQ7Gt4UWvVcM6OATy4rY2V1HjajDp1GNtlNZBol0464yGrghllFXDOjkCZ/lKcOdvD7XW0ccoeyjX4gnlJp8sf45dutPLbfw4Y6J1+8opLVtflyQI+YECTsxbh1zBPitzvbePyAh0Zf7B0hr1FgjsvKhxe7uG1+CbWFZvQaRdqsTjIKZCooNArTCi18fW01n1hWxhunuvjVjja2nPETSaZzU/xd4QRPH+rg9VM+1k118MUrKlk71SGb+cS4JmEvxp0j7iA/39bCkwc7aA9kSuf6z9YbtAqX1eTzuVUVXD2jAKdZj1bTv5WrmKx6N/aV2A3cvtDFjbOL2NcS5MGdrTx31EtHMJE59jedCf1nj3h547SPNdnQXz/NKa15xbgkYS/GjTOdEX71diuP7HXT1B19R8hbDRrWT3PyuVUVrJnqwGbM1MRLxotzKWT2b9hNOq6Yms/ymjz+ojPCH/e084c9bs50RYDMLn5fJMnzRzvZfNrPFbX5fHl1FVfWOWWkL8YVCXsx5rV0x/jDnjZ+s6OdU53hd4S8w6zj+pkFfOayClZU52HWa2WqXlwwjaJg0inMKrHy99fW8vHlZTyy181vd7ZxurMv9P3RJC8e72JbQw9XT3fytbVVXFaTL+WZYlyQsBdjVkcwzuP7Pfx8ewtH3GES6fSAkC+y6vnQvGI+fVk5C8psGHQaKZsTg6YoYNBqqCu08FdXTuGeJaU8ts/NgzvbONERBjKh3xVO8OTBDrac9XPr/BK+dEUls13WUb57Id6bhL0Yc8LxFM8f8fKDN5vY3Rwgnhq48S7fpOWmOUV88YoqllTYMeik+Y0YPkp2F//UAjPfXF/D3YtdPLHfw692tHLMkwn9ZFqlrSfOz7e38PLxLj6xrJT7VpRRkW8a5bsX4vwk7MWYoaqws7Gb/9rcxIvHOumJpQZ0u7PoNVw7s4Avr85Mn5r1Ggl5MWJ6N/NNcZr52tpqbltQwsN72vnl2600+KKoZLo0nuoM8/9eqefJAx188YoK7lzoIt8sj1YxtsgrUowJTf4ov9jewkO72mnpjuXOMYfMKGvtNCdfXV3JumlOrAZZkxeXTm/o1xaY+csrp/DBecX8bFszj+z10BlOoKoQT6XZ3xbggWdO8vShDr61vpq1U51o5HUqxggJezGqgrEUTx/y8MM3m9nfGiDRb/OdRoHlVXl8bU0V180qJN+kk5AXo6Z3en9uqY3v3DydDy8u5YdvNvH8ES/hRGapKRhP8eLxLva3BrlnSSlfvKKSGqdM7YvRJ2EvRoWqwtsN3XxvUwMvH+8iGE8PmLKvcZr4zGXlfHxpGeX5RmldKsYMjQJmvZbLp+SzoMzGG6d9fH9TE2+e9ZPMHrjT0hPj+5sb2XjSx9fXVXHr/GLMeu1o37qYxCTsxSXnDSX4zY5WfrqthQZfdMCUvd2o5dZ5xXxlTRULy+3S0laMWRpFIc+k4wOzi1hZnc/j+938cEszJzrC2al9ld0tAb705HGeP+Llm+urWVKZN9q3LSYpCXtxyaRVlbfOdvOdjQ28dtJHJJkaMGV/+ZR8vrmumqtmFGA1aGXznRgXtJpMR77PrqpkzVQn/7OliUf2uXMbTP2RJI/u97CzOcAXVlVw/4py2cAnLjl5xYlLoiMY59dvt/Kz7a00+qOk+o3mawtMfH5VJR9dUkppnkHW5cW4o5DZxDevzMZ3b5nBDbOL+O6mBrbWd2d67qdVTnnD/NNLZ9je0M1fXlnDUhnli0tIwl6MKFWFN8/4+I+NDWw85csdOAJg1CncPKeIb66vYUmlHb1GI1P2YlzTKGA3ablpbhGLK+38blcbP93WQkt3DFWFQCzFkwc7OOwO8ZXVlXxsSRlWo6zli5EnYS9GjC+c4Fdvt/KTrc00+GMDRvN1RWa+urqKDy92UWjVy5S9mFB0GoVqh4m/2FDDhjon332jkeeOeEmmVZJplaPuEH/z/Gm2N/TwF+urmVNqG+1bFhOchL0YEYfagnxnYwNPHeogGO9bmzfpNNwyt4hvrMtsVtJp5aAaMTEpChh1Gi6bks+Pb5/J5VPy+eGbTTR3x0ir4Isk+f3udg60BnlgbRV3LnLJiXpixEjYi2GVSKV59rCX/9jYwJ7mwICd9jOKLXxtTRV3LXRRYNXJaF5MClpFoTTPyFfXVLGs0s6/b2zglRM+0mpmlL+vNcg3//cUe1uDfGNdNRX5xtG+ZTEBSdiLYeMOxPnJ1mZ++XYrbT3xXN28QavwwbnFfGtDDYsr7DKaF5OOQmaUv3aak2lFFn69I7O85QkmSKsqHcHMe+dkR5i/uXoKq2ryR/uWxQQjYS+Gxc7GHv799Qb+fMw7YBNeqd3Al66o5FMry3HZDTKaF5OaVqNQ5TDxV1fWsLI6j397vYE3z/hRgUgizQvHOplWZOay6jwUea+IYSRhL4YknkzzxAEP33mjkYNtwQHT9iur8/jrK2u4blYhJp1WdtoLQWYt36zXcu3MQqYVWfifLU38akcboXiKVFrlfw97qSuycN/yMiwG2akvhoeEvRg0fyTBz7a18D9vZUqLeqftzToNdy9y8Y311cx2WaXVrRDnodUo1BVZ+KfrpjKzxMp33migvivK2a4I//TiGY65Q3xrQ834662vxvC3neXkkbN0xt/7WxWdHqPJgtWWh7PYRWlpETa9PC9GgoS9GJT6rgjfe6OR3+9ppzuazE3b1zhNfHV1FZ9YVkqBlNQJ8Z40Cjgtej61spzpRWb+5bV63jjtpyuc4Bdvt3LSG+Zvr57C2qnO0b7VC5do4/DGh/jevz3J8fcJe5Ts/h1FQdEasReUM3XuEi678jquu2ol0wv0l+CGJwcJe3HRdjR28y+v1fPisS5iyXTuz6+odfC3V9Vw1fQCDDqNbMIT4gL0bt67cnoBlQ4T39nYwIM724gl07x60kdbT5xvra/mI0tKx8UsWcrnpaPhLI3BGDH1/b+/T4RoqAdvywl2v/ECTz68ips++gnuuG4Z1XYpSRwq+Q2KC5ZKqzx10MNXnzrB80c6c0Gv1yjcvbCEH35oBtfNLMQoQS/ERdNqFGaWWLl8ioO8bFe9VFrlUHuIf3jxDP/5RiPBWGqU7/L9qIQ6u2htaCVwUUGf/Wk1TTqVJBHx0bT/RX71L3/HP333j+xqf78pAvF+ZGQvLkgonuLBHa18f3MTZ7uiufX5fJOWz1xWwZdXV1HlMMq0vRBDoFHgrkUlqKj8x+sNnOqMkFZVGv1R/mNjA+2BGH+xoYayvLFai5/A1+WhqcVD78cSQ2Et85ZdwfKp9nO+VyWViBIJ+uloaeDMqdM0uXuIpTP/m5pOEfOdZtvTv0GrM/L1r97OvHx5vgyWhL14X75wgh9tac7WBcfp3XBf7TDyjXXVfGJZGQ6zXnbbCzEM7CYdn1xWRpXDxD+/cpa3sofpdIUT/Hx7K+2BOH939RTmjsUWuyk/nd4mmlt7R+JanFMWc+3HH+DjK2znmfFTUVUVNa2SCHmp3/sqTz3yGC9sOYY3poKqkuw5w/YXH+fhqiq++YmVFMp89KBI2Iv31NYT43tvNPLrHa34I0l6Z+aWVtr5m6tq+MDsYox6mbYXYrgogEGn4ZoZBRRZ9fz76w08ebCDtKoSiqd4/IAHTzDO311dy4a6sbVxTw130tnaRGt3di+PYqOgpJLqKfkY36eM0GSqZO6VH2PawpVc9sQv+Z+fP8thXwrUNNG2g+zc+BJvLF/A7XPNl+BfMvHIZyTxrk57w/zji2f46baWXNArCnxgdiE/+NAMPjivBJMEvRAjQqtRWFJp518/MI0vXVGJOds3P5FSeeO0n289e5JH97lzS2pjQbKrE29TE+7eOXyjk0JXBZUlF9AvQFHQaPVYimex/vZP8OmPrqWidzN+Okzz8QO8vW0fvvR7XkW8Cwl7cV4HWgP83Qun+d3udkLxFCqZk7zuWeziXz9Qx2U1+eNiZ7AQ45lGUZhaaOHvrp7CP1w7hSJrJv1S2Z76/+flszy4o21AM6vRk8bf6aWpsY3eSXxNfiHF5VV9oX0hFA2G4jksX3cj1y0tzIVUoqOJM4cPcMQvaT8YEvbiHbac9fNXz53iyYMduR33Zr2Gz15Wzv+9fhpzS61oJeiFuCQ0CpTYDHx5dRX/cVMddUWZaey0qnLcE+JfXq3nf7Y0DyiDHRVqmC5vG80tfjJ3omArKKKsqgLbxT4uFAPFtdNZuGweRb0pleqio/UsZ87GhvW2JwsJezHAKye6+LsXTvPqSR+JdO+Oex1fX1vF311dS22BWXbcC3GJKQrYjTo+uqSU7908nWWVmZ3taRXO+iJ8940G/vONRkKjWZqX7KLT20STp/ce9DgKS6iodDGYpr9aRyllU2cwNbcDP0WPvwtPu2eYbnhykbAXOS8d7+T/e/kMb9V356YFS2wG/vrKGr65LlPuIwN6IUaPQafhxtlF/OsH6lgz1QGAqkJLT4zvv9nEv75Wjz+SHJV7S/sz6/Vt0ewfaPIpKK6gstIwuAtq88hzllJS2PtRQSUc8OP3SNgPhuzGFwD8+Vgn337lLNsbe0hlg36K08RfbqjhY8vKsBm1shFPiDFAp1XYUOfErNfw7Vfr+fOxTlQVOoJxfry1mVAixV9fOQWXfZAhOygqka5O2pta6F1SV6wFFJVVUmkf5JNDMWAy28mz6VHIbBBWYzHS4dCw3fVkImE/yamqygtHO/n2q/XsaOoL+roiM39z1RQ+stiFWS8nbwkxlmg1CpfV5PPPN0zFatDyxEEPqgr+SJJfv91KIpnm76+tpdR+qZrvpOjq7KCpyZ1rpqNzFFJSUYlrCCmj0+nQG/RAJPMHySTEZM1+MGQafxJTVZXnjnj5f6+cZUe/Ef30Igt/d3Ut9ywulaAXYozSahQWVdj5P9dN5ZPLytBqFFSgJ5bid3va+fYr9bgDl6jNbLqbro5mmluj2V4cGvILi6moqmRI8wuqCmr/L9OoadmNPxgS9pOUqmbOzf7nV+rZ1RQgla3VnVFs4e+vmcKHF7sw6eXlIcRYplEUZrsypXmfX1WOQZuZMu+Jpvjd7nb+5dWzeIIjH/hqpJPO9iZae4vgFQvOojIqKvOHEDIqiUScaDSWy3tFq0PRy0l4gyFP80nqhaOd/Ovr9exu7gv6WSUW/uHqKdy9yIVJJy8NIcaD3lr8b6yr4XOXVaDX9AZ+kod2t/Ovr9bTMcKBn/J14m1uor1vDp8CVwWVZUOYw1cjhEI+urr7bTg0mVBseUO618lKnuiT0Osnu/jepkZ2NvYF/WyXlX+4ppY7F7kwStALMa5oFJhSYOZra6v5zGXl6LJT+t2RJL/Z1ca/vlaPNzRSgZ+mu9NLc1MrkewQXMkroLi8ksqhbBlI+fF3NtPm7f0EoWC25ZFfVDTUG56U5Kk+yWxv6OZ7mxrZfMafC/o5Lit/f/UUbl9QIkEvxDilUaC20MwD66r5zMp3Bv6/v95AVygx/H+xGqPL66ap2ZdrpmNxFlFaUUn+EB4n6e4uOpub+0r50JLnKKS4zDXkW56M5Mk+iRxoDfLdjY28fLwrtxlvWqGZv9hQLUEvxASgUWBqoYUH1lXzqZXluU17/nCSB3e08b1NDQRiw1yHn+qiy9tEc3vvdXXkF5ZQUVXO4FfXVQLt7dSfOE1X7348JY/C4kqqa+QgnMGQp/skcaIjzHffaOB/j3hzDXMq8zNH1N61UKbuhZgoNApMK7LwjXXV3L+ib5d+VzjBb3a18+O3hre1brqnk86WJtpyc/h2CorLqaw0Df6iag8tzSc5dKSvlE/Jc1E+bQYz5IzbQZHf2iTQ6IvyvY0NPL7fQzyVeZMX2wx8bW0VH1taiuV9jp4UQowvGiXTK+Mb66q5d1kpGiVTwdbWE+MX21v51dutudm9oVGJdXXS3thMZzaVFbOTotIKKgsGHy+pznrOHtzF/rbe2QKFvPJqps+dR6l0hxkUCfsJzhuM84PNTTy8100k+2neYdbxldWV3L+inDyTvHOEmIg0isKMYgtfWV3FHQtKgEzZ+tmuCD/Z2swf97pRh3w8bhpfZwfNze30xrLWUUhxZRXlg53DVyM0Hz/A1k27ye3N0xZSXTefJUvKpBPcIEnYT2CRRIpfvN3K7/a0E4xn3jVWg5YvXF7BZy+rwGmRelUhJjKNojC/3MZX11Rx3cwCIHN4zhF3mB9taeK5I51D+wvSPXR5W2hqDWdr4RXsBUWUV1Yy2JX1uOcYeze/xBvHQrkNf6by6cxfeQVLimUWcrAk7CeoVFrlD3va+dXbrbmSG6NOw6dWlvGFyyspsRmk170Qk4BGybTW/ca6albVZGrU06rK7uYA39/cyJtn/IO+thrvwutuoqWjdw7fhKOwlIrKokGFixpv59BbL/LkMzvxJLKzDjon0xasZO36uRd/VK7IkbCfoJ474uVn21o52xVBVTNHZN61sIQvXF5JZb4JOaVWiMlDq1HYUFfAX2yoYW6pFcgMCDaf8fO9Nxo42BYc1HXTvk46m5rJLa1rHJmT7ioGMWuY6uHsthd49DePscMd72u7O20Jq2+4iSsq9DJAGQIJ+wloa303P93awt7mAL17cK6bUcjnVlUyo9giQS/EJKTXKtwwu4i/2lDDlILMTvlkWuXlE138cHMTbT0Xe8BMmkBnJ61NrYRzG/ELKK6opNJykZdK9lC/9Wke/NEveO6Qn2TvoL5gJpddexu3X1mLWZ5bQyJ7HSaYEx1hfvxWE6+d6so1zVlaaecLV1RwWU0eGkl6ISYtk07DrfNLCMRS/N+XM33zI4k0Tx7y4Moz8LdXTbnw6hw1TpfXTWNzR648zugsxFVZyYUvravE/Q3seeF3/OLBp9h2xk88O0JRzBUsvvp2Pv7Rq5hikXHpUEnYTyAdwTg/fquJpw95SaT6zqT/4hWVXD+zEK1Ggl6Iyc5m1HLXQhcdwTj/9noD0WQaXzjJw3vaKc8z8PnLKy9sUJD209XZRHNbb1c+LfmFxZRXVr5vsKjxEN6mI+zc9Aovv/Q62w824osmc+WAirmMRdd/jM9/6cMsdxlkCnoYSNhPEPFkmt/ubOORfR5C2Z33BRY9X7i8kjsWlGCQpjlCiKxCq56PLS2lLRDj59tbUVVo8EV5cEcbFfkmPjiv+H2vkQ56M810gn3le6GGPTz/k79i7+/e+WFBTadIxiKEAj68ng46fQEi8QTJZJJUSs2dbKd31nH5rZ/mS5+5hYWlZrQyRhkWEvYTxDOHO/jdnvbccZYmnYb7V5Tx8WWl2KWWXgjRj5Lto3//inJaumM8d6STtAp7W4P8dFsL5flGlle99+lyyS4fnsZmejfiQ4qQt4HDbzVx5N0CWlVRUVHTKulza/y1Vsrmruf2++7nrmvm47LqJeiHkaTABLCzsYff7mzjcFsos/MeuH1BMfetKKfUbpQdrEKId9AoCksr8/jC5ZW0dsfZ0xIglVbZeMrHj95s4p9vmEa1891a3qbo8nbQ1NRG/7P0VDVNKnVxrXg1xnzKZ6/i+tvu4OarV1BXbMGg18pza5hJ2I9zbT0xfr2jhVdP+nIb8q6ozecTy8qYVSI774UQ706rUbhyegGeYJx/+PMZmrtjxJJpnjvipcph5O+vqcWsP89uOzVEV2crza0BLrQHn6LRYjBaMFvtOEvKqKqtY+a8xSy/bDnz68rIM+nR63TI1qKRIWE/jkUTaX6zs40nDnTkDraocZq4b0U566c5Zee9EOJ9mXQaPji3GHcgzj+/Wk8wlsIfSfLEgQ7qiizct6L8nT+k2Jl51Wf47upPcDFn6iiKAigoGgWNRotWq0Wr06HVKDKSH2ES9uPYUwc9/GF3O95wZjes1aDl3uVl3DqvWDbkCSEumMOi5+5FLpr8UX68tQVVhZPeCL/f3c6MYgtX1DrO+QkFrd6IRW8cjdsVgyCJME5tb+jmd7vbOeoJ5zrk3bmwhI8uKcUhPe+FEBdBAaqdZu5ZUso103t76Ku8Vd/NL99uHUTDHTHWSNiPQx3BOH/Y3c7GU77cjtZ1U518YlkZ04rMMh0mhLhoGgVWVOVz/4pyphZkjrGJJdM8f8TLL7e35I7HFuOThP04k06rPLrfzTOHO4hmF8tqC8zct7yM1bUOWacXQgyaTqtw3axCPruqHIs+Ew/ecILHDnh48oBnlO9ODIWE/Tiz6YyPx/d7aOnOTKuZdBo+usTFTXOL0EtRqhBiiPLNOm6fX8I9S0oBUFU43B7moV3t7G0JjPLdicGSsB9HWrtj/HGPm6313bkDbm6cXchtC0rkbHohxLCIJdIcbA+yp7kv2NNq5oS83+xoJRBLvsdPi7FKduOPE8lUmkf2uvnfI17i2b73s0usfHhxKQvKbLJOL4QYsiZ/lJ9ta+GXb7fiDSUG/G+heIo/H+tiYbmd+1eepxxPjGkS9uPEKye7ePyAB3e2Ha7VoOWeJS6um1kgB9wIIYYkmVZ564yff329gTdO+4gn0wOa5SiACpzujPDYAQ+LKmwsqXzvdrpibJGwHwea/FEe3edhZ1MPve2kPzSvmNsXlEjfeyHEkHSE4vx+Vxs/3NJMsz9GMrtGqFEyx2NfM6OA3c0BXjreRVpV2XLGz0O72plRbMVmvOCzbMUok6QY49JplScPeHjpWGfuTbi4wsZdi0qYWWKR6XshxKCoKuxtCfCdjQ387xEv4UQqN5jIN+m4Y0EJ31hXzZQCE08e9HCoPURLdyw7nd/JwnLb+bvriTFJwn6M29rQzXNHOmnPTt/bjVo+vLiUq6YXSJmdEGJQeqJJnjzo4XtvNHK8I0wi1TdpP7vEygPrqrhrkQu7UYtGUbhmRiGH20N8Z2MjKVXllDcznb+40s6icvso/kvEhZKwH8O6I5k35Fv1/twn7g/MLuIDswuxGmT6TAhx8Y53hPnB5kb+uNdNTzSVa8xl1mu4cXYRf7mhhkUVNgzavmKtEpuBW+YWs7elbzr/zTN+HtrZxvQbLPI8Ggck7Mew/z3i5c9HO4kkMs1zphdZ+OC8Yma5rKN8Z0KI8SaaSPPS8U7+fWMDu5sDxPudYFPjNPGFyyu4b0U5hRb9Ozb9Kgosq7Lz0SWlHGwL0doTIxRL8epJHytrvNy9yHWp/zniIknYj1FH3SGeOdTBiY4IAHqNwm3zi7l6RgFamb4XQlyEJn+Un2dL6jpCCVLZ/T96rcK6qQ7+6soprJnqwKDTvOs+IL1WwzUzCjnUFuK7mxpIq3DEHeKpgx1cPiWfKofp0v2DxEWTpjpjUDyZ5okDHl4/1dXX+36ag5vmFFEozXOEEBcomVZ545SPzz56jO++0Yg7EM8FfYnNwNfXVPGru+ewvs6J8T2CvpfLbuCG2YVcMcUBQCqdmc5/dJ8bVb3Qk+3FaJCR/Ri08bSPPx/rxBfOdKoqthm4bUEJK2rykEG9EOJCeEMJfrerjR9taaLpPCV1f7mhhhtnF2HWay/4uaIosKI6jzsXlbC3JUAwnqItEOPPx7pYXetgZU3+CP6LxFBI2I8x/kiC54942dXUk2tq8cG5RVw/q3DAhhkhhDifTEldD9/Z2Hjekro7F2ZK6uqKLIM6T8Ni0HJlnZOb5xbxx71uVBXebujm0X1uFpTbMOtls95YJGE/xrx0vIuNp3y5lrgLym3cNKeIGqeshwkh3ltPNMkTBzz856bzlNS5rDywdmBJ3WDNKrHyoXnFbK3vpsEXJRRP8dopH5cf7eT2BSXD8U8Rw0yGimNIS3eMF491ctQdBkCnUbhpdhFrp8rRtUKI93bcE+avnj/FN549yRF3X9Bb9BruWFDCbz48h08uLyPfpBvy80SrUVgz1cFdC0tQlEwr3cPtIZ480HcipxhbJOzHkBeOennjtI9Uds7t8in5XDWjAIdZNuUJIc4vmkjz9KEO7nvkCL9+uw1/JJnb2FvjNPGP19Ty49tnsrTSPqxLgaV2I9fPKuSy6sw6fTKt8lZ9N08f6hi2v0MMH5nGHyOOukO8fLyLRl8UyKyL3Ti7kMuqZVOeEOL8hqOkbrAUBVbW5HPXohL2twYIJ9I0+aO8cqKLa2cUML3YMsx/oxgKCfsxIJ1WeeGol81n/Llz6q+sc7KhrgCLdKYS4oIkAy0c2foizzz7GruONOKL6cirmMHi9Tdy840bWFKbP2EeeMl05kCaf8+eUhfrd0qdy2bgE8tK+dIVVVQ4jOhG8FRMi0HLmqlOrp5RwLOHvaRV2NHYzbOHO/jm+poR+3vFxZsor/1xbVdzgFdP+OgIZfrfF1r13Di7kMUVtlG+MyHGgzSB+m08++BPePDZPbQG4iRTmfBrd7dw5uAOtmzcwt2f/RwfuXo6+eN88bIjmOD3u9v477eaaPQNLKlbVpnHX2yo5obZRVguoqRusBRgfqmVm2YXsem0n+5oEncgzmsnfVwzs5AFZfIMGysk7EdZMq3y8vFOtjd058pjrp9ZwIZpTvRSaifE+0q49/HKH3/JLx/bTktEg7V0Ggvnz6bSEqPtxCGOnmqhee8LPPwrA0bLl/nY6nLG4y4YVYU9LT18d2Mjz2VL6tLnlNQ9sLaa6cWDK6kbLINOw6op+Vw/q5A/7XOTVmFnUw/PHupgXqlVNhePERL2o2x3Uw9bzmY+EQNUO0xcN7OQ6SWy3iXE+0r7Ob5zE6+8tJ2WeB51V93J/Z//GNfMKcQAxLtOseWJX/GLh17g8L43ef2lucyf8xGWFYyvD9I90SRPHvDwn5sbOeYZuZK6wZpVYuHG2QW8fqqLjmCCznCCN077uHZmASuqpdHOWDC+XvETTCqt8trJLnY09jXQuXq6k8un5Ev/eyEuQLqngTNHD3KkOU7e7NXceNdHuGlxJfkWC2aLhfyKeVx9+13ceeMSChJtnDl+iCPHfaN92xfluCfMX2dL6g639wW9Wa/h9gXFPHj3bD65bHhK6gZLp9VwWY2DD8wuAjKzELubAzxzyJtbZhCjS0b2o2hPS4A3z3bjz47qqxxG1tc5qS00j/KdCTFQyt/IkQP7OdTvg+l7UzC76pi7YCEzXMbzXu/owf0cbLiI65VMY+6CRcwo7bue2u3D1+GlK21lSvU0ps+owNR/ClvRYCytZeqsmUzJ38Xhrk463Z1A4QX9raMpmkjz4jEv33mjkd3NAWLnnFL3+VWZU+qKrO88pW40TCs0c/3MQl490UVzd4zuSJI3z/rZerabtdMco317k56E/ShJpVVePZEd1ed24BdwWU2+rHGJMUYl1LCXV3//Q37zZhvp9/8BQEPJ8jv49JenU+cynjOFqBJq3Merv/8BD26+8OsVL7uNT315BnWl/a6nAqqKqmZKwZTzFZgpGjQaLVpAVVXUC/wbR0NaVUGFlp7Yu5fUTXPyVxtqWD3VcUGH11wqWo3Cypo8bplbzI+3NqMCB1qDvHjcyxW1+WPiA8lkJmE/Sva2BNhy1o8vkgCgIt/Ihjon04pkVC/GmjTBQDddnZ2EI5ELHIlriMYSJM+bq2lCgW66vIO53sDv1uTlk1dYgEM5QntzA2fPekhOKR/wYEt1tdB89jQNPWCrdeAoGJuj+u5Iksf2u3n1ZBfdkdR5S+ruXV7GF66opCJ/ZEvqBqvaaeKqGU5ePO7lTGeUnmiSHY097G4OsKI6b7Rvb1KTsB8F6eyo/u2G/qN6p4zqxRiVJhQK0hMIo6LBVjaNGbNmUZH3Xq9VDfnTFjKlUH+ekWeaUChETzB7vdJpTJ89i8r3vJ5C3tSF1BYaBlxPcdRQO2MOM0u3svnoW7z45BRqyj7GVbMK0APJ7nq2P/8UTzy/E49SxOJps5g5s2CQv4eRc9Qd4vubG3l0n4dQ9uCa0SypGyyNorC43M41Mwr52bYWVGB/a5CXj3eyvMqOMlZvfBKQsB8FB9tDbK3vpis7qi/LM7Chzsn0YhnVizFIDREK9hAIpkCxULXkBj75lU+zofq9Gz4pWh163XnCXg0RDHYTCGSuV7n4Oj7xtc9y1WCup3Eya/kaNly5myOP7OLIi7/g/x3dxJML51BpS+A5cYADh8/gDqZwzFnBmqs3sLhk7DSqiiRSvHDUy3c2NrK3NUj8nKmQfJOOuxaW8MAQTqm71GqcJtZPc/Ds4Q7aeuJ0hhNsre/mUHuI+VJ3P2ok7EfB5jM+djcHBqzVr5oio3oxRqVDBIM9BEIqKHYchcW4ymxYLIN8vaZDhEI99PRer6CE0kFfT8FUsYwb7rmfnmCUh144hOfMfjobDqFRVNKpFKm0Fkfdeu64937uWj+Fwd72cGvwRfnZ1mZ+vaMNb7hvXb7XbJeFB9ZUc+ciF3mm0SmpGwyNRmFRhZ2rpxfwu93tqCrsaw3w8vFOCftRJGF/iTX6orzd0EN7IHMyVKFFz5qp+Uwvkrp6MUalgpmRfUhFMeWR73TitA4heFIhQoEegmEVxWQnv8CJcygJrDFQMOsqPvk3U5h/2XM8/cxr7DrWRFdMh7O6jsXrP8AtN1/HqjkubPrRrzZOplQ2nfbx7xsbePOMf8C6fKndQIFFzxyXlb/YUM2icjsG3ejf88WqK7Rw1XQnzx3txBdO4A7E2XK2mw/NCzNNnnWjQsL+Etty1s/elkCu89WqKfksqcyTnapizFJDQYLdAYJpUGz5OJwFOIeQP2ooRKinh2AKFGc++c4CnEOcWVc0eqwlM1h125dZetPnSKZSpFUlswtfb8Bo0KMbA1PgnmCch3a28eOtzTT5B7a6XV6Vx19uqOHyKfkoijJmSuoGQ6dVWFSRx5V1Tp444CGtwr6WAC8f7+ILEvajQsL+EuqOJNla382Jjsx59SadhtW1+cwrtY7ynQnx7tLBEKGeACEV9HkOCgoKsA8h7NOhUObDQ7/r5Q3H4FXRoDOY0BlMw3Cx4ZVWVXY3BfjOGw28cNRLJJHOfeB3mHXcvcjF19ZUUVdkyXwoyZYSjmezSixcPd3Ji8c6CcVTNPpjbD7r59b5xZTmvbP3ghhZ429+aBzb3tDNnuZA7tP8kko7SyvzMOvHzoYhIc6VDIUI9ASIqBps+Q6cTidDecUmQyGC/a9XMLTrjXXd0SQP7mjjvkeO8PShDkLxvqCf67LyvZvr+PcP1DGzJLMBT2H8Bz2AUadhaWUea6c6gMwHnsPtId486x/V+5qsZGR/iSRSabac9XOgLQhk3sxrah0sqbCP8p0J8V7ShIMBAoEgabTkOQpwFlgIth5m39a32HW4Hm9EwZRfypQ5i1m+YhEzymzvEd5pwqEAPdnr2fOdOAusBNuOZK536CzeCBjzy6idvZjlKxcxvcw2bh9URz0hfpAtqeuOpjJNcwCLQcNNs4v41oYaFpbZxuW6/IWY7bKyoc7Jy8e7SKkqJzvCbD7t54Nziyfsv3msGq/voXFnX0uAXU09hOMpAGYVW1henYfTMh7P3xKTh0owGKK7J4SqsZFnilC/+cf8zQvPsO10V9/mMkWDVqvHVj6fDXfeyyfvXM/MgvO9tlVCwRA9PSFUjZU8U5TGLT/lb59/iq3nvd481t9xL5+8cwOzCsfPeyWSSPPno16+80YDe1uCA1rd1haY+eIVFXxiWRmFlvG7Ln8hrEYtC8ttLCi3srclSDSZ5mB7kN3NAVZNkQNyLiUJ+0tka0MP+1uDuV23q6c6WFppnxDTdWIiSxAKBwgEI6iqgfptz9O6M4LPGz7PASdRomfe5ukfu/F0dPLFz97OkpJzAzpJKBykJ3u9hu0v8KddEfzeMInzXm8Hz/zEjcfj5Qufu5NlrrEf+A2+KD/b1syDO9oGtLo1aBU2THPyF1fWcEXt2Gp1O1IUYI7LyrppTva2ZGY1j7nDbDrtk7C/xCTsL4G2nhj7WgK4g3Eg0/byspp8qp1jbyOREAOkQwQDPQSCaVAj9PgiKHo7pbPXsOKyJcxwWVCDrZzYu5Md+47TFkgS7znL1mceo7CklOJ711NlGHi9ULD7ndeblb1eqQU11MqJvbvYufc4rYEE8Z56tj37OIUlpZTcfyXVhne921HVW1L3Hxsb2Hw2W1KX/fxSas+2ur28kvIx2up2pJTnm1hZnU+p3U17II4nFGdnUw+Nvqg8Ay8hCftLYHdTD4fagrlNOcuq7MwrtY2bJhliEksHM+EcUgEVjX0aq+/8FJ/75I3MKzZmpqDVNKmIh8MvP8wvf/5HNp4OEPceZvvmN1i8ZAF3LSvo2wnce71g7/WmcsXtn+Jz932A+edc78grf+QXP/8jG0/1EO88wvbNb7BoyUI+vKJwzO0svpCSuutnFWIew61uR4pGyYzur6h18MQBD6oKR91hNp/x87GlpaN9e5PGWHvPTDiptMrO5gDHsuV2GkVhWVUes11SbifGgUSIUDBAIKqCxsGsdbdw10duYWlVPhazCaPRiNFkxuKsZskH7uKuO69hTr4Caoz240c4eOAo3v4dYJMhQoG+681cezN3fvSDLDvP9RbfeCd333kNc/M1oMZwnzzP9UaZqsKuph6+8uRx/u/LZ2nwRXNB7zDr+MzKch788BxunluMxTD5gr7X9GILa2sdGLK9Dk53htlyxp/bwyRGnozsR9hxT5gDrUFCscyLemaxmQVlNmzGiVxsJMacCzta7p1MM9jwqX9l+d3/RAotRrMVq93KO/vTKGitNSxYspxlc9/iyFY3qa5Gzp4+xVnfKkoKs+MK43TW3/dtlt75Dxd8veXztnD4LTepribqT5/kjO/yvuuNop5oksf2e/j+5kZOdISJp/p+yXNdVh5YV8UdC1zYx1Gr25Fi1muYX25jSUUe2xu7iadUDrtD7GruYe1U52jf3qQgYT/CdjZ1c7i9b2Pe8uo85pXZJvzGHDFBKDrMNicma+YV/J6nlik6nJVVTJlaSd42N/6Un06PB3dHEgoNue8x2ZwYL/B6jooqpkyryl6vO3M9T7/rjZJMSV0Tj+5zDyyp02u4aU4R31pfw4JyG0YpL8uZ7bKydpqD7Y3dAJz2hnm7QcL+UpGwH0HBWJLdzQHOdkUBsBq0LK20M7VANqWI8eVCjybVORw4iwpxaMCfShAM+An4Q8DAcL646xXhUMBPglDAT48/CIzOMbXRRJoXjnr57huN7GkJnFNSZ+ILl1fyyWVlFI7jVrcjpcRmYHGFHZfNgDsYxx2Ms681SGcoQaF17FdZjHcS9iNoX0uQw+2h3Breogob80pt6LTyaV9MUAYzZosVsw5IQSKeIBaPDeF6JkxWCxadAimIJxLE4vFhu92L0eiL8rNtLfx6R+uAkjp9tqTuLzfUcMXUyVFSNxgaBeqKzCyrsvP80U7SKpzyhtnV1MN1swpH+/YmPAn7EbSnJcAxTzj39YqqPOaWyhGPYiLToNFq0GQX4RUFlCFFnwaNRosmu8VFYajXu3jJtMrm0z7+Y2Mjm8/4iJ6npO7zqyqpcEyukrrBmFZkZkV1Ps8f7QTgtDfC240S9peChP0I8UcSHG4P5o6yLbUbmF9mp9g2RouEhRgOapJEIkEiqQIKOp0evWEor/kUyWS/6+n16A2Xbsq3IxjnoV3ZkjpfLNf4p7ek7i821HD9zMJJvdP+YjhMeuaVWql2GGn0x+iKJDjUHqS1O0Z5vhyOM5Ik7EfIobYQJ72RXG39vFIrM4rNyAd/MX6kaNv1HI89/EfeOB1FyZvJhts/zEduWcy7bYZXwyFC3QFCSQAdFlseNrs1d7323S/w+MN/4PVTUZS8Gay/7cPc88El7369UJBQdw/B3utZ87DZR352TFVhd3MP332jgeePdhKOpwaeUrewhK+uqaau2IxBluUumKJAXVGmVXijvwNVhVPeCDubevhgfvFo396EJmE/Qg60BTnl7ZvCX1BuZ3qxnOMsxpdkqIv2s0c5fDCIkq8w7Qof0fco40t0evG2u+lSAY0Nh7OAgoK+x0wi5KPt7DEOHwyg5EPtKh+R97xeJ9623utZyXcWUFg4so+tTEmdmx9sbuL4uSV1pVYeWFvN7QuKyTPpJn1J3WBMLTSzoiqPJw9mwv50Z5gdjd3cMrfogjduiosnYT8CArEkh9qDtHRnNhIVWfXMcVkpssoUvhhPFCwWC1aLGTXdQyroo7Ozk86oSoX1fA/lGK0NZzlxqomoCorVRVlVFVVFmn7XM2OzmFDT3aSCPrqy16t8l+u1NZ7lxMnGd7ne8DvmDvGDN5t4dJ8HfzT5jpK6b66vYaGU1A2J1ahldqmN6UUWTnSECURTHHGHqe+KUltoHu3bm7DkFTsCDreHOOWN5B4U80qt1BXJFL4YbzTkFxVTWlqMWQES7Zw5cZzjJ3vO26Mn1XmUfTu2svNEEBUFS8UUptXVUaEfeL2yspLs9dycPXmMYye6OV9TvFTXMfbt2MqO45nrmctrmFY3ncoRWLKPJtI8ecDD/X86yoM72/BFErn375QCE/907VR+eOtMllbaJeiHSAHqCs0sr8oDMv2e6n1R9meP/xYjQ161I+BAa5CTHf2m8Msyn2KFGG90FdOZPmcudXkKEKNl96s8+8SzbG8ODwj8VM9Z3nr2UR55ZhstMRW0RcxcuJSlS6YMqLDXlddRN3ce0/M02eu9xv8+8Qzbm8MDAj8VqGfrs4/yyNNbaY6poC1k5oKlLFtWy3DPjzX6ovy/V87y5SePs6OpJ3fMrl6rcO2MAn5x52y+uqaKErtBaueHSbXTxKLyvuZiTb4oB1ol7EeSTOMPs3A8xaH2IE3dmV34DrOOOaU2SvNkp6kYhwzlzF9xOatX7uTkK2cIh5rY+dh/8bf7XmHJskXMKLOjBlo4vm8Xew6cwh2IkUaLc/ZlrL1qPYtd5zxiDGXMXbaK1Zft4MTLpwmHm9n1+A/4232vsWR55noEWzmxbye79/e73syVrLlqA0vOvd4QvF9J3X3Ly/iclNSNCItBy7QiC1UOE43+KF2RBMc7QnSFExRYpMHOSJCwH2YnOsKc6YzmGm7MK7UyXXbhi3FLi2P2Om75iBu395c8u8dDPOqn+cg22k/s5KXeU+qSCZLJNCoaLJUrueHOj3Dr2los75g71OKYtY6bc9dzE4v6aTmyDffJnbx83uut4Lo77+G29VPPc73B8WRL6n6SPaUukeorqVtRlce31tdw/exCLJPwlLpLQQGqHUYWlNlo9EdR1cwMy6G2IGunSfvckSBhP8xOdIRp8EVyX89xWZkqm07EOKbo8qhd/RG+7Cyn5vcP8fire2nwJ0ikkiT6f58+j6qFV3PnvZ/g1ivn4jKfv5OcorNTu/rDfNlRTs0ffsvjr+yjwR8nETvP9RZcxR33foLbrpz3rte7GKqaOXL6u2808vwx78CSOpOOuxe5+OqaKuqKLbkT2sTIqHaaWFBu47mjXgAa/TH2S9iPGAn7YXa8I0yjL9MLX69VmFFsoSJPeuGL8UxBo7dRMf9a7v8/l3HLp09zeN9+jp5upqM7TAIjjrJaZi9exsK50yhzmDHqte8RzAoanY3y+ddw3z+t5OZPn+bIvgMcOdU04HqzFi1l0by6C7jehRlYUhchnurbJTDXZeXra6u4Y2GJlNRdIoVWA7NdVvJNOrqjSdq6YxxuCxFPpjHIJshhJ2E/jDzBOGc6IwSyx9nWFpipKTCjlxGCmAAUrR6jrYDyGQ5cUxeyNpXO7VhXNFp0Oh1arfaCl6xy15vuwFW7kDVDvN57OZY7pe7dSuqqWVguO+0vJY0C1U4j80qtvFXfTSKtUu+LcMwTYkG5fbRvb8KRsB9GmSn8aG6X8oxiCzVOGdWLiUTJBLFBO0wPj+G+3kDnnlIXz+60h8yH8c+vquCTy8soklPqRkWVw8T8Mhtv1WeOvW30xTjQJmE/EiTsh9EJT98UPsDMYgs1Dgl7IUZDoy/Kz7e38OCONjzBeO70Sb1GYUOdk7/YUMMVtQ5MOo1swhslFXlG5pfZ0GkUkmmV1p4YR92h0b6tCUnCfpik0ionvGGauzNhbzdqqSsyUyQH3whxSfWW1H3njUY2nT7/KXWfW1VJZb4RnSyxjSqDTkOVw8iUAhOnvBF6YknquyL4wwkcUoI3rCTsh0mjP0p9V5RYMvNUqSuyUO00ScmdEJdQR66kroVGf3RASd3y3pK6WZlT6uS9OTaU5RmZUWThlDeCqkJbIM5Jb4Tl1RL2w0nCfpic9kZo9p8zhS/r9UJcEqoKu5p6+N4bjbxwzEvonFPq7lqYKambLqfUjTmldkPmkLBjmTPu2wNxTnjDLK/OG+U7m1gk7IdJfVeE1p5Y7utpRWYq8yXshRhpPdEkj+/38P03GznuOX9J3e0LSsg3S0ndWFRiNzC9yIJWUUipKu2BGCf6tRsXw0PCfhioqkqDL0p7IHPKnd2opcphJM8kv14hRlKupG6/h+5IklR2cd6s13DznCK+sb6aRVJSN6YZtBoq8o1UOYzU+6L4I0nOdkYIxlLYjNrRvr0JQ9JoGHhDCVq6Y0QTmRFFtcNEqd0oO3yFGCG9JXXf29TInuZA7vAayJTUfeHyCj6xrJQiqxxeMx6U5mWm8ut9mda57YE4p71hFlZICd5wkbAfBo2+KG2BeO5hU+M0UZYnu/CFGAmNvig/29bCb3ZKSd1EUWY3MqPYwisnuoC+dXsJ++EjYT8MGnxR2vqt19cUmCizyyl3k5IaobPxNKdPt+CPX9iPKBoNGp0BszUfZ7GL0tIi8i16OX/6HH2n1DWw+Yx/QEmdy27g3mVlfP7yCiryTdK1cpxxZdftFSWz2dIdiHOyI/L+PygumIT9MOi/Xq9RFGqcZlx2GdlPSvFGdj/3S37yy9c4m3j/b89RFJRsNzmjrYDyuvksX3ct1121ink1DiZ7EVJHMM5vd7XxUympm5BM+sy6fanNQFsgTlc4QaM/QiqtyjLMMJGwH6JEKk2jP4o3mAl7l11PeZ5BDnKYpFJeNy2NjTT6gwTV9//+8+rppsvdxLGdr/P8k5dxyyc/wz03LaXCPPkeeqoKu5qzJXVHz1dSV8JX11RLSd0EUGTVU+000RbILM10BBO0B+JU5Mss6XCQsB+ilu4Y7T1xsgON7Hq9vDgnJ5WQx4O7vWPwQQ/Z89zjpJJx2o9u5OGfJEmrX+L+25ZQPInesZlT6jz88M0mjnnCUlI3wRVY9VQ5TLzd2ANAZzhJkz8qYT9MJtGjY2S09cTpCPXN11Y5TDKFP2kl8HjctLm9pLJ/oi2YxqKlS1k4Jf+8a/AqaVKJOJFgN12eFhrPnKWx3Uck24lRTSUINrzNpo3zmDd/JjfOtg75qNfx4Kg7xA/fbOKx/ZlT6lLpvpK6m+YU8Y111SyqsGOSGbQJo9CSGdn36golaPRFuawmfxTvauKQsB+i9kCMznDfTqwyu5FC6ek8OaW68LS34e7ofT1ocE5bznUf/SJ3rSh8zw13qppGTadJhDycfOtpfvfbx3n9gJsYoKbCnD1yiEOHT7N+1gKsEzjte0vq/nNTI7vPKambUmDiC6sq+MSyMopsBnSyljuhFFr1VDn6RvGd4QRN/bqSiqGRsB+i9kCcrn4je5fdQKFVwn4yUqMePO52PN29080milwVVFSVYrvQD4A2G0tv+iT6dILojx9i49kooJLsaKe1rQ13agFTJ+i7NlNS18xvdraft6TuW+urWT3VKSV1E5RRp8FlN+C06PCFk3SGEzRK2A+bCfrYuHTaA3E6w0kA8k06im166dY1SaU8Hjxtbjr75vApKXPhKrmIt5miQWssYsbsOcyuK+XNs/UkATUWIhQMEkoy4d61fafUNbDp9DkldbbeU+oqqHRISd1EpgCFFgNVDhO+cJBYMo0nkKAzlJAB1DCYYI+NSysUT9ERjBOOZ57uLrtBpvAnrTR+t5v2dg/RbFBp8kooLXXhslxsQCkYbTby7DaMCiRVQE2STCRIJFQwTZzA6z2l7qfbWmjwna+krprrZxVJSd0kUWjRUe0wcaA1CPRN5UvYD52E/RB4AnE6w4ncmmKpTOFPXmoMj6edNrcvtzlPX1SCy+WiYBDtvdVkkkQiQbL3xaUxYDAaMRomRuL1nlL3n5saeOFoJ8F+JXX5Jh13LyrhK2uqmFFskZK6SaTQqqfa0W+TXjhBc3eMRdJJb8gk7IegLRCnM5TMfV0qI/vJK+3F427H3dH7etBQUFJKqcvFxddmpPC2t9Pa5qF3N4gmv5Ci4iKKJsDLq/eUuh+8S0nd19ZWcceCEvLMOrSyOD+pOMyZPiW9uqNJ3IELbEUp3pOE/RC09wzciV9qN1IgYT8pqT1uPG3tdISzw1PFTlFpGSWltosulVODpzmwdxd7jneTiUENjpqpTJtWR+E4H+QOKKk755Q6KakTdqOWEpsBjaKQVlV6okncgdj7/6B4XxL2Q9ARSuCP9I3sXXYDBTKNPyklPB7c7W66cnP4BbjKXLiKLu4tpsbc7HvxSZ54ejOngtkRr6mK+cuWs2xBybh9w0pJnbgQWo1CvllHgUWHN5SgO5rCHbyYvtPi3YzXZ8eY4IskCEQzT3ezXoPDrJOd+JNSCq/bTVt7B7kKe6eL0tJSXBfa/CsZxH18By8+/ghPvbSN4+2hTFdGjY3ay6/lxhvXM8cxPs/27j2l7rc723D3L6nTKmyY5uRbG2pYLafUiaw8kw6XzYA3lCCeTNMVThCKpbDK2fZDImE/BP5IkkCsr+zObtROiu5m4hxqOLNe7wnkRqtKooOjm5/mly2beLdHlKqmScZDBDrdNNfX09jipisQIRZPZIJem0ft6tu5/7Mf5/p5hejH2YsrmVbZdNrHd99oZPNpH5FzTqm7b3kZn11VQaWcUif6yTfpcNkNHHaHUIFALIk3HMdqNI/2rY1rEvaDFI6n6I4miWdLhZwWHXaT/DonpaQHj7sNd2ffRrOUr579bzRzePP7hJiqklbTpFMpUqneqW0dtvI5rP7Qx/jo7VezuCYfk258heH7n1InJXXi/OxGLUX9lkMD0RQdwQQ1Tgn7oZB0GiR/NEkwmsp97TTrscs006SU6nLjbnPTEet3+o2aIhlPkXz3H3tX2rxK5q65idtuWc+iWgemcZSGqgq7m3r4npTUiUGynRv2sRTekKzbD5WE/SD5w31T+JA5btNulF/n5KMS9bhxu93kuuSiQaPV8v5ZliaVSpFOD/zTVKCJPc/8D61nT3HPZz/D3VfVkTcO8r73lLofvdnEsY4wsWTfP2yOy8rX1mRK6vItUlIn3p3dqKPI2ld+F4wl8Yak/G6oJJ0GyRdJ0BOTkb1I4/V00N7emWumo6tezUc/+1nuv34mpvf52Xi4B5+7hbPH9/LWq6+weedx2kMpEtFumve8wJ8eduAs+Ay3Lil617X/seBYb0ndAQ++yDtPqXtgbTWLK+0YdRrZ1yLek82opcjWN7IPxlN0ysh+yCTsB8kXSRLsF/Yysp+k0n7c7lbcHZHsersGh6uSmtrplBa9f0CrahGuiilMX7CCdddex5VPPsgvfvMsu9tjqMkQTTs2sWnzAhbMupEZF912d+TlSuo2Z0vqEgNL6j6/qpJPLCulWErqxAUy6jTYDTr0GoVEWiWSSA8YWInBkXQapO7IwGl8p1knI/vJKO6hw92O29f7MDJS5CrF5XJe0EhcUTQoWg0arQ598UzW3nobnrYWWv+wlbakSipUz7GDhzlyej3T54+ts+zfr6Tum+trWD01H7NOKyV14qKY9BpsRi2+SJJoIp0rcRaDJ2E/SMF4ikiib03SbtRiNciGo8km5XXjbm3H2zvLqC3MnHTnGsRbS9FgKJ7F7LlzqHNtp60lDWocd2szra1u0vOnjomp/N6Suu+90cim034iydSAkrp7l2VK6qrklDoxSGa9hjyTDl8kSSSZHjCwEoMjYT9I4XgqtwFJp1Ew6bXoZHfxJKMScHtoa+8g1NslN68Yl8tFiXmQIaexkZdfgMNuADJn2cdCQQLBIHFgtIuP3u+Uum+uq+b6WYVYjTopqRODZtJrcjOlqbRKOJEmmkhj0sszdrAk7AcpkkgTzYa9Wa+RznmTUoIOj5t2d1duc56hyEVpqYvCQb+zVFKpJMlUv2lLRUGjKKM6ha+qsLu5h++90cgLR73nL6lbnS2pk/eCGCKzXktev74lkUSKQCyJSX/xx0qJDAn7QYok+kb2Zr1GDu6YjFKduNvbcHfkmuTiLCnF5SodxEl3vdfsoqvTgzfXZF/BZLNjs9tH7c3ae0rdD7dkTqnrX1I3N1tSd/uCEvLNOrQynBfDwKTTDNjw3LtuX2wbxZsa5yTsBymSSBPLHjZu0WtlZD8JqWEPnvZ2OgLZ8FNsFJeW4nJd/El3veLtJzh+5Ahn/L2Bqqe4tJyystE5BOeoO8SP3qWk7uY5RTyQPaVOSurEcMqs2fftUIkk0/TIuv2QSNgPQiyZmcJP9zueU0b2k0+yw42nvZ3O3El3hZSUunAVD+5tpUaa2f3ay7y86XDf6XmmSqbNmsn02ku7Wh9NpnnhyLufUvf57Cl1UlInRkJmZN8X9tFEmoCU3w2JhP0g9F+vBxnZT05pfNnNedFsCmocJZSWllJyoSfd5ajEvMfZ8uRv+NUf/sze9lg2WLUUzlnGihXLmD7EGvu0Sm6N/f00+qL8fHsLv9nZhjvQV1Kn0yhsqHPwrfU1rJ7qkJI6MWIyG/T64imWTBOKS9gPhYT9IIT7rdcDmA0a2SU62ahROtzttLv9ZF4JCuYiF6UlJeRf4EshFevGc/YQOze/ziuvvsmeo410huL0vrT0JYu48sYbuWZFGYZBhuopb5iHdrXzp71uznRFcn/+5MEO/JEkt84vZt00J/lmHal+p9S9o6TOZuDe5VJSJy4NnUbB0O81lkyrxFPp9/gJ8X4k7AchlkgT7xf2Jr12wAtTTAKpjsxJd96+0UaiZRfP/M/f8vbv32t7noqaShAJ9eD3+egJRIjFYsTicRL9psr1hXO55p77+Pitq6g0X/wHya5wgicPePjZ9haOusNEEn3LTgDN3TEe2efmz8c7uWNBMfcsLmV7Qw8/3dZCvS+SK6lTgBXVeXwjW1JnM2rRyHBejDCtRkHfr5Q5lVZzr0kxOBL2g5BSVfq/7rQKsgt5kkn3eHC3t+ON9L4QVBI97Zw97KH+Al4KqpomnVZR1XMeYIqBgumXc8snP8U9Ny6nxmHgYqPeH0nyk63NfH9z04BNdQPuX1WJJlVigTi/3tHGI3s9xFNpQvG+DwW9JXVfzpbUyVKVuFTOHdlnwl5G9kMhYT8IqXMe0lpFuegHshjfEh4PnjYPvn7LiKqaJjXYB5LGiKNqLld84A5uu2k9i6cVYzNcfGOaVFrlmUMefr2jjc5QgvcbC6lk9qD07wYJfafU3b6gBIeU1IlL7NyRfWYaX0b2QyFhPwjnbnbSaECRh+EkksLrbqfN3cFFH7ypaNEZTVitNuyOIkqraqmbPZcFi5ewYM40KgpsmIyGQa+Jbznr53e726nvir5v0J+PSa/hptmZkrolFXaMeimpE5feO0b2qkoiKWE/FBL2g5BW1QHrnxpFkdagk4qW0lX38LcLPsg3BvEAUhQlcwCORoNWq0Wn06HT69HrhtZiVlVhX0uQnY09A16fF2NJuZ37V5SxojpPSurEqDn/yF6m8YdCwn4Q3jGyz7YzFZOH1mDGbjBjH+0b6ccTjHO6MzKkeuTOcIKucFKCXowqnaJg0J27Zi8j+6GQpeZBSKkD1+w1ivwixeir90U51Rke1PR9L08wTltPbNjuSYjByIzs+5feISP7IZKMGgT1nJG9VqPImr0YdcFYkkB0aC1Fw4k0QWleIkaZokD/o59UVb3gplDi/CTsByGVPnfNHlmzF6POqNNg0g3txHu9VpESOzHq1PPti5KX5ZDIr28QFCWzyaqXqsIg90MJMWyKLHqKbfohXaPaYWJqwaXtwy/Euc7dF6UoyL6oIZKwHwS9RjNgA1Mipeb6hwsxWiryjUxxmoc0y1RbYGJ6sYS9GF2qCul+z1SFTPMyMXgS9oOg1yoDwz4tYS9GVzSZ5uUTXbxysnPQa5smnYY5pVamF1uG9+aEuEhpBnYp1WgUNLJWOiRSejcI7wj7lEpSykLEKGn0Rfn5tmZ+u6ud9sBFt/nJuXZmAfcsLsVmkMeCGF2ZTdD91uzJdCoVgyfv6kF4Z9inZWQvLrneU+q+tylzSl040XdKXe+r80JflQ6Tjstq8plXZpNja8WoO7dxmSKboIdMwn4Q9FoNWq2s2YvR0xGM89CuNn6+vZX6rkiub3jvKXX3rSinpTvGL7a3XNBovyeW5O2Gbg61BVlUMZZaBYnJSFUZcICTRlFkZD9EEvaDoNe8cxr/fCeLCTHcVBV2N/Xwn5sbeeFoJ4FYqt8pdVruWujiy6srmVFsJZ5Ks6LKziP73Lx5pptGfzR3Ha0CJTYDacAdiJNW4bWTPmaVuKlxmnBahrarX4ihSKsMXLOXk0WHTMJ+EN65QU+m8cXIC0STPLbfw4/eauKoO0ws2ddRbK7LylfXVHHbgmKcZj1ajYJJr+HaWYWsmebkif0e/u31Bk56wwDcu7ycv72qhheOdfJvrzfQ0h0jFE/x2AEPM4ot3LeiXKbzxaiJp9JEEn3NnXRajfR/GCIJ+0HQaweW3sVT0rdZjKxjnhA/2tLEY/s9dIX7zqg36zXcNKeIr6+tYnFFHqZzTqkzaDUYtBryzboBvcZtRi2leUbuWFDCmc4I//NWM/GUSkNXlEf2uZlRbGH1VMel/UcKkRVPqoTjfR9mjVoFi0HCfigk7AfBpNNg7HciUzieIpqUvs1i+MWSaZ4/4uX7m5vY1dxDNJHObbqb4jTxuVUVfHxZGS674T0Przn3f+n9usRu5O5FLk54wzx/pJOUqvLmGT9/3OtmWpGZsjzjSPyzhHhP8VSacL+2zQadBqthaN0hJzsJ+0HQahSsRg0mnYZoMk0wlhow5STEcGjyRfnZthYe2tVGWyCeWyrSaRQ2THPyzfXVrJnqwKzXDnrKXaPAkso8PrKolJMdEU50hIkm0zx9yMOMYjNfvKJqwIEkQlwKsWSacL9nqlGrwaKXsB8KCftBshl0mPXZsI+nBnwKFWIokmmVzad9fO+NRjadGVhS57IZ+OTyUj5zWQU1TvOwBLFeq3Dj7EJOdIT53qZGQvEU7YE4j+73MLPEyvWzCof8dwhxMeIplVC/aXyDTqbxh0rCfpDsRi0WvRZfJEk4niKcSJNWVenfLIakIxTnoZ1t/HxbK/W+d5bUPbCumhtmFWIzaof1teYw67lrUQknvGEe2esmrcLOph7+uLed6UVmphVJVz1x6cSSAzfoGXUaLDKNPyQS9oNkM2oxZz9pqpCdyk/LupIYFFWF3c09/NemRp4/T0nd3YtcfOmKSmaWWEdkV7KiwKwSKx9e5OKEJ8yelgCJlMpzRzqZXmThG+uq5WErLpl4Kk2o/5q9Vtbsh0rCfpDsRt2ANaRgLClhLwYlEEvy6D4P/7OliSOec0rqSq18dfXAkrqRotUoXD2jgJPeMPW+CF3hJL5Igkf3Z8rx7lrkGrG/W4j+YsmBG/SMOlmzHyoJ+0HqP7IH+tbtrdKMRFy4Y54QP3qziccOXFxJ3UixGrTcvqCE454wv97RSlqFo+5QrhxPuuuJSyGaTBOIDQx7m1HCfigk7AfJll2z79U7jS/EhYgl0zx/NFtS1/QuJXVLS3HlGd+zpG4kVDtNmen8jjCbz/hJplVeOdHF9CKLdNcTl0QwlqIznADAoFXIM2oxSFOdIZGwH6TMBr2+F18glhqwxiTEu2nyRfn59hYe2tVOW0+MxICSOgffWF/DmqkOLEMoqRsKraKweqqDjyx2cbozkumuF0vxxAEPM6W7nrgEQvEUXeEkkJltKrDoL8nM1kQmYT9IDrMeu7Hv19cVThCIJUfxjsRYl0qrbDrj4z/fyJxSF+pXUldiM3Dv8lI+vbKCmgITBu3ojmKMOg0fmlfMiY5wrrtefVeUP+1zM6PEwupax6jen5i4Ysk03ZEk8ezeFZsxE/ZiaCTsB6nAoifPNDDsu6MS9uL8vME4v93Vxi+2t3K2K0o8lXmQ9S+pu35WIfZhLqkbihK7kbuy0/nPH81019t8xs8f97iZVijd9cTIyIzqE7llLatBR4HshRoyCftBshm05Jt16LUKiZRKZzhJd1Sm8cVAvafU/Vf2lLqefiV1eSYddy8q4UtXVDJrhErqhkKjwNLKPD68uJST3v7d9TqYUWzhi1dUSnc9Mez6r9cD2AwaCi0SVUMlv8FBUhQotOjJM+roDCfoCifokZG96Kf3lLr/fquZo+7QgPMT5rqsfGVNFbfPL8ZpGdmSuqHQaxU+MLuQkwO668V4dH9mOv8G6a4nhln/9XoAq1FLgVlG9kMlYT8EhRY9+eZM2MeTabpCCcLxlDQfERzzhPjvLc08tt9DZziRK6kz6TTcPKeIr62tYknlpSupG4r3665XJ931xDAKZqfxe9kMWpnGHwYS9kNQbNPjMGd+hSqZVqf+SFLCfhKLJdO8kC2p2/kuJXUfW1pK6SiU1A3Wu3XXe+FIJzOLLDwg3fXEMDp3Gr93N74YGgn7ISi26nGa+36FHaEEvkiS8nzZuDQZNfmj/HxbC7/d1U77OSV1V9Y5+ca6alaPYkndUJyvu15Xb3e9Eit3LiwZ7VsUE0R3JElbTwzIlIE6TLoBz1kxOPIbHIIimwFHv7WkjmAcfyTxHj8hJqJUWmXTaR//uendSurK+MzKcqrHQEndUFgNWm6fX8IJT5hfZbvrHXGHeGRvOzOKzCyU7npiiNKqSlc4QXsgDkCeWUtpvnHM7mkZTyTsh6DENnBk7w7EB0w/iYmvIxjnoVxJ3TtPqfvGumquG2MldUNRXWDi7sUujvfrrvfyiS7qiizUFJhzy1pCDEYgmtkAmsi+j5wmPeVS4jks5J05BPkmPcU2PSZd5lz71u443qCE/WSxqylzSt15S+oWlvCl1WOzpG4otIrC6loH9yx2cdoboaWnr7vejGIL90t3PTEE/miC1p547munRUeFhP2wkLAfAkWB8jwjhVY9Ld0x/NHM9FM0kcaknzgPeDFQIJrk8WxJ3ZFzSurmuKx8dU0Vt80vpmAMl9QNhVGn4ZZ5xRzv313PF+XRfW5mSnc9MQS+cJLW7ljua4dZR3m+YRTvaOKQsB+iinwTJTYDLd0x0iq09sTwhuJUOkyjfWtiBPSW1D2+34P33JK6uUV8dU0VS8dJSd1QuM7trpfOdNd7WLrriSHwRZK09vQPe5nGHy4S9kNUkW+kuF8NaLM/iicoYT/R9C+p29XUQ2QClNQNRW93vY+c013vmUMdzCw288UrqqS7nrho/n5hr1UUCsw6im0ysh8OEvZDVJFvHPBibO2J0xGSdfuJpMl/zil1qf6n1Dl5YF0Va6Y6sRrGX0ndUOi1CjfOLuTEO7rreZhZYuV66a4nLsK5O/HzzTrKZSf+sJGwHyKX3YDLZkCnUUimVZq7MyN7Mf6dW1IXTqRI50rq9Ny7vGzMnFI3WhxmPXcuKuFER5hH9vV113t4T6a73jTpricukD+SpMkf7duJb9ZRIT1Lho2E/RDpNApl+QacFh0dwQSeYAJPIE4yrU6K6dyJyhtK8NDOVn5+nlPqllfn8Y21VVw/qwi7aWKU1A1Wrrve4sz6fa673tFOZhRb+IZ01xMXyBOMc6Yzkvu6yKpnSoF5FO9oYpGwHwaV+UZKrAY6gpkNW609cTpDCVx2WWsaj3pL6v58rJPu6DtL6r54RSWzXROrpG4odBqFq6YXcLJjYHe9x/Z7mFli4c6FrtG+RTEOnBv2JTYD0wol7IeLhP0wqHSYKLEbOOwOAVDfFaGtJyZhP84EYv1K6trPU1K3upLbFpRM2JK6obAatdy+IDOdP7C7npsZRRbprifelyeY4ExXJuy1ioLLbqDKIdP4w0XCfhhMKTANKA853RmhpTvGInnAjRvH3CF+tKWZJw6cp6RuTiFfXVs9KUrqBkvh/N31Xsl216suMEt/c/GuYsk0bd0x3IHM5uYCq44pBSb0k3QvzEiQd98wKLMbqXIYc530znZGaOmOjvZtiQsQS6Z5/qiXH5ynpK7GaeLzqyr46NJSyiZJSd1QnK+7XlC664kL4A0mONsVzS2ZlVgNTJUp/GElYT8MtBqFqdlGIme7IgTiKep9MbrCCTmacQxr8kf52bYWfrf7nSV16+ucfGPt5CypG4pcdz1vmP/e0kwi213vT/vczCy2sHqqY7RvUYxBnlCcM53h3NfFNgNTC6WSYzhJ2A+TqYVmKvIzYa+qcNobprU7JmE/Bl1ISd2nVlYwZRKX1A2Fy27kroUuTnj6uuu9ecbPH/e2M61IuuuJd/IE47n1epDNeSNBwn6YTMuGfa8znRGau2PMK7ON4l2Jc2VK6tr4+dstnO0cWFK3ojqPB9ZmTqnLm+QldUPR213vw4tLOdER4aQ3013v6cNeZhRb+NLqKlkSETlpVaW1O8ZpbybsLXoNFfkGGSgNMwn7YVKRb6LKYcSgVYinVM5kN+mJsWNXUw/f39TIC+crqVtUwhcvr2SWy4pJSuqGrH93vf/c1EAonqa9R7rriXfqCCY42REhksh88C61G5lZbEE+Dw4vCfthotcq1BaYcdkNNPlj+KNJGn1ReqJJ8kzyax5NgViSx/Z5+J+t5y+p+0q2pK5QSuqGldOs566FmXK8P0l3PfEuWntiHHGHchtjy/MNzCm1juo9TUSSQsMoM5VvosmfOQHvpDdMkz/K3FKZyh8tuVPqDnjoDCVI9iupu2lOEV9bW8WSSjtmvVZK6oaZosAsl5UPL3JxUrrriXfR0h3jsDuY+7o838gcl4T9cJOwH0bTiy1UO0xsb+gG4Eh7iLNdEvajIZZM88IRL99/s4ldTQEiidSAkrrcKXV2o5zONoJ0GoWrZxRwynue7nrFFu5cJN31JrN4Kk2jL0pDV6ZU2WHSUVdowWmRhmTDTcJ+GFU7TUwrNGHWa4gk0pzoCHPaG5Y++ZdYkz/Kz7Mlda3nltRNc/DAumrWSkndJWM1arltQQknvGF+9Xa/7nr73MwosbCwXJpPTVbtPXGOekIksjNu5flG5pTKev1IkLAfRjqNwmyXlWqHiePZ872PeTIleNVOOd9+pPWW1P3X5iY2nfYRig8sqftktqSuVkrqLimFzGzK3QtdHPcM7K43vchCjdOMQ7rrTUot3TGOtIdyX1fkG5nrkpnQkSDvsGE2t9TK1EIzxzvCqGRGMGe6IhL2I6y3pO4Xb7dwpitKPDnwlLoH1lZz/awC8kw6KakbBVqNwhW1+XxksSvXTjoYS/HEQQ/TpbvepNXSndmcB5mSzcp8IzNKZOPmSJCwH2YzS6xMLTShUSCtwlF3iLOdEdZPc472rU1Y/U+p64mmSJ3nlDopqRt9Jr2WD84r5qQ3zI+y3fXOdkV5dJ+bmSUWVtc6RvsWxSXkjyQ53hHGE8z0wy+2GZhZYsGsl02bI0HCfphZDFpmlVgpyzPS0h2jM5zgREeYznCCQmkSMawCsSSP7ffw47eaOSwldeOCy27gzux0fv/ueg/vaWdaoXTXm0wafVH2tgRy/S6qHCbml9mkKmaESNgPMwWY7bJSW2CipTuW24xU3xWRsB9Gxzxh/ntL07uX1K2pYkmVlNSNNRpFYWllHh/p110vkkzz7GEvM6W73qRS3xVhT3NP7uspThNL5KTQESPzmiNgbqltwCEOh9tDuVaQYmhiyTRPHfTw+ceO8uCONjyBeC7oa5wm/vHaWv7zg9NZWZOPRYJ+TNJrFW6YXchHFruwGjKPoLZsd71XTnSN8t2JSyEQS3GsI0yjP9NltMCiZ47LSoldSu5GiozsR0CJTc+MYgtOsw5fJEm9L8oRd4hANIlduukNWpMvys+2t/D785TUbahz8sDaKtZMdWA16GSz1xjnNOu5M9td75F+3fX+uKedGcUWOQRlgmv0RdjbEiDV74P6kkq7bJ4dQTKyHwEaRWFRuY26bDvQVFplb0uAE97w+/ykOJ9UWuX1k1188Ylj/PDNJpr80VzQF1v1fGNtFf9920yumlGAzShBPx70dte7e7ErN3Xb213vj3vac33SxcRU3xUdOIVfkAl7MXJkmDlCllTamVViYWdT5gW9pznAMU+YpZV5o3xn40tvSd0vsyV1sf4ldVV5fH1tFdfPKiTfLCV1441Oo3D19AJOdQzsrvf4AQ8zSyzcuVC6601E4XiKEx1hznRmuublm3TMLrFSLpszR5SE/Qhx2Q3ML7NRbDXQEYrT1hPnUFuQzlCCQqts1LsQu5p6+P7mJv58rJPuSLKvpM6o5a5FLr54RSWzpaRuXMt11+sI86sdme56h9tDPLLXzYxi6a43ETX6M7vw+++1WVxpl4qZESZhP0I0isLiCjszS8x0nI2TUrNT+R1hVlnzR/v2xrRgtqTuf95q5rA7RDQxsKTuy1dkSuqKrFJSN97luustcnG8Y2B3vTrprjchnfJG2N54zhS+7MIfcTIkGkGLK+zMKrHmdoTvbQlwzBN6z5+Z7I65Q/z186f52xdOs781mAt6k07DnQtK+Nkds/jk8jJK7AYJ+gmit7vePYtdVORnpnKDsRRPHvTw5AEPqvo+FxDjhj+S5EBbkLOdmeqkfJOOOS4bNdJhdMTJR+YR5LToWVBmozw/02DHG0pwoC1IW09MmoecI5ZM8/wRLz98s4mdzQEi8XeeUvfRpaWUySl1E5JJr+WWecWcOKe73p+yh+VId72J4ZQ3zLZ6f24Kf1qhmcun5MkH90tAwn4EaZTMRr2ZxZZcg53dzQGOe8IS9v281yl1G+qcfH1tFWulpG7C6+uuF+H5o95Md72zfh7eLd31JgJVVTnREWZ7Q2YKX1FgZomFVTWyrHkpyDT+CFtQbmO2y5r75Lq3OcD+1gDxlJQW9S+p+8F5SuoeWFvFj26dydVSUjcp9HXXczE9W7YaSaR59oiXP+1z50aDYnxq6Y6zq6mHrnCmF355npGllXYKrNJI51KQsB9hNoOO5VV5TCvINAkJxVNsb+jhZMfkrrn3huL84M1GvvzkcV4+4SMQyxxHqwArqvP44a0z+JurpjC92CzH0U4ivd317hnQXS/OY/s9vCrd9ca1k94wb9V3546drisyc/kUh5xdf4nINP4IUxRYNSWf+eU2Tngzx95ua+jmQFuQuaWT89zm9yqpu3uRiy9cXsnsUimpm6ycZj13LCzheK67nsquph4e3tPO9CIL04qku954E02kOdIe4kBrEACjTsMcl5XFFZPzGTga5Gl6CUwtNLO0wp47CKe5O8aupgDtgfgo39mlFYgl+fXbLXz+8WM8cdBDVziRC/o5Liv/flMd/3zDNOaX2yToJ7H+3fUWZ0uy4r3d9fZKd73x6GxXhO0N3bmTKacUmLisJh+THGd7ycjI/hLQaRRWTcln7nErm8/4SaVVttV3c6gtSKm9YLRv75I47gnxoy3NPHHAg7ffKXVGnYab5xTx1TVVLJVT6kRW/+56Df276+33MLPYwp2LpLveeKGqcLg9yMbTvtyfzSiycPkU2Zh3Kcnw6RJZVmVnUYUtVza2rzXAvpbAgIYxE1HvKXWfe/wYD+5sw93vlLpqp4l/uqaW790yncvklDpxjt7uencsKEGjZEPDHeKP+9zsbw2M9u2JC9TSE2NrfQ9tPZmZzEKLnqWVdmoLZDnmUpKR/SViNepYWZ3Pqyd8HHGHiCTSbG/o5uoZBSyaoN2jmvxRfrGthd/taaelu6+kTquQLamrZu20TEmdbNIR5+rtrnfnIhfHPH3d9V470cV06a43bhxpD/L6qS7S2SW72S4LG6Y7pbb+EpOR/SWiAJdPyWdBWd+GlLfqu9nbEsi9CSaKVFpl40kfX3riOD94s4lGX7+SOpuBB9ZV86PbZnLNjALsRgl68e60GoXVUzLd9XoPSglId71xwx9JsLOphyPtmc6hFr2GxRV2VlTJgWCXmoT9JVTlMLGsKg+XPVNX6gkm2HK2mzPZ1pETQW9J3ZeeOs7LJ7royZbUAayoyuMHH5zO3141henFFgyyCU9cAJNey83zivnw4hL0WgUVMt319rvZWu8f7dsT7+GoO8zGUz4S2YfAjGIrG+qcsjFvFMjT9hLSahTWTXOwqDwzuk+rmaYyu5omxvrjrqYevv70Cb79agMnPOHccbR2o5ZPryznJ3fM5Nb5JTgterTSIUdchNJsd71rZ2Q2tKbSKm+e8fOHPe2098RG+e7E+cSSafa1BnId87SKwvwyK2unOkf5ziYnCftLbEG5jcun5OfWGpu6Y7x5xk+jLzrKdzZ4wViKX+9o5QuPH+OJgx0DSupm50rqprKg3I5JLy85cfFy3fWWlDI9W2cfSaR59rCXR6S73ph0siPMptN+wvEUkCm3WzPVQYFFjvgeDfLkvcQMWg3r6wpYlD2nO5VW2Xiqi93NPe/zk2PTMU+Iv3n+FH/3wmn29TulzqjTcPv8En56+0w+uayMEpsRnSzOiyHQaxVumFXIPUtKpbveGJdKq+xvDbLxlC93oNXcUitXTi+QttejRMJ+FCyvsnNZTR5WQ2bd6qQ3wltnu3GPoyY7vSV1nz9fSZ3DxD9mS+pWTXFgMWjlDS6GhdOs544FJdw8pxhgQHe9096Js/dlvDvlDfPKiS68ocwzrdRuYFVNPlPkKNtRI2E/Csx6LeunOXM785NplY2nfONmdN/kj/LtV8/yjWdPsrW+m1D2OFqtAtdML+Ant8/kK2sqqXKa5DhaMax6u+t9+Dzd9R7eI931xoJUWmV3c4CXjnfmNufOL7Nx/axCKbcbRVKkOkoun5LPyuo89rQEiCXTHGwPsrW+m1U1+TjH6JpWWlV545SP/9rcxObTPoLxvp32xVY99y4v4/6V5UwtMMtOezFidBqFq6YXcLIjTENXhK5IprveEwc8zCqR7nqj7XRnhFdPduEJZkb1xVYDa6Y6Ju1ZIGOFPJFHic2kY12dk3mlVgASKZVXjnexo2lsju69oTjf39TIl586zivnK6nLnlI3Q0rqxCXQ213v9gUlKPR113tkn5v92cNWxKWXVlX2Ngd48VjfqH5huY0PzC6SWb5RJiP7UaIAa2sdrKzO40BrkERaZW9rgI0nfSypsFNsGztnPL/bKXX23Cl1Fcxx2WSnvbhkervr3bXIxfGOvu56r57ooq7ITI2zVrrrjYLT3syovnf/UZFVz+qpDuaXyah+tMnTeRQ5LXqumVnI/GzdfSKl8sKxTrY1dI/ynWUEYyl+/XZvSZ1HSurEmKLVKKyuPV93vQ7prjcK0qrK3pYAf+43ql9QbuMDswtlVD8GyBN6FCkKbJjmZE2tI3ek61F3iNdP+mjpHt1GIcc94UxJ3Z8HltSZdBruWFDCT++YJSV1YtSZ9FpumVfMRxa7BnbX2yfd9S61M9m1+v4H3qye4mBh+cQ8+2O8kbAfZXkmHdfPKmRRRd/O/D8f7WRb/eiM7ntL6r7wRLakLjiwpO4frqnluzdPZ1VNvpTUiTHBZTdwx8KSgd31zvp5eI+b9p7xU846niXTKm839PC/h725sz4WlNu4UUb1Y4aE/ShTFFhdm8+6ac5c3f3prswn5LNdl7ZuuNkf5duvnOWbz55ky1l/pqROzZTUXT3dyY9vn8lXVktJnRhbNIrCkkr7O7rrPXO4g0f2tUt3vUvgqDvEs4c7cjvwCy161k51sLhSDrwZKyTsxwCrUccNswpZVtXXVe/FY528dbb7kqw7plWVjSe7+OITx/nBliYa+p9SZ9VnTqm7dSZXzyjAbpJT6sTYY9BquH5WIR9Z4sKil+56l1IkkWbLWf+AuvplVXZum1+CQQYFY4aE/RigACur81k/zUm+KbODuNkf48VjnRz1hEb07+4MJfj+5ia+/NSJzCl10XNK6j6UKambXmLBKCV1YgwrMOu5Y4GLW+a+s7veRDpZcqzZ3xrg6YMd9EQzPfArHUaunVnInGxZsRgb5Ok9Rpj0Gm6YVcjK6sy0V0rNjO5fO9FFNDkyXcF2N/XwwDMn+JdX6zne8c5T6n6cPaWuQE6pE+OAomSqRO4+p7ven49Jd72R4o8keeO0j81n/KiARoGVVXncNr9YNu6OMVKIOoYsrrRzzcwCDrQFaQ/E6YokePpQBwsr7Kyd6hi2vycYS/HYfjc/2drCofbMTvve1YLZLitfuaKSW+cXU2QzyBtWjCu93fVO9+uu1xlO8PgBDzNLrNy5sGS0b3FC2d3cw5MHOnIDkulFFj4wp4gq6YE/5sjIfgwxaDV8aF4x66Y5cl3BttZ389Ixb+5AiaHqX1K3tyVAJBv0Rp3CHQuK+ekds/jE8jJcdimpE+OTzajl1nO767WHeGRvOweku96waeuJ8eqJLva1BgAwaBVWTcnnpjlFMhM4BsnIfoypLTBz89xiDraFOOIOEU2meepgB0sr87htweBHJfFkmuePevnhlmZ2NvYQTqRym/+qHSY+t6qce5aUUZFvlJ32Ylx7v+561dJdb8jSqsrW+m7+tM+d28w7t9TGB+cWU2QdO90/RR95xY8xWk3mzO4dDd2c6YwQTaY56Y3wv0e8zCu1MaPEctHXbPZH+fm2Fn6/p53m7ljuzalVYEOdk6+vrWbNVAc2o+y0FxODVqNwRW0+H11SymlvhJaeGIFYiqcOeplZbOW+FeXSI2IIDreHeGy/h0ZfpvmXzaBl7VQHV8+Q8+rHKgn7Mchp1vOh+SXsbw2yKTsqeeFoJyuq8phSYLrgg2Z6T6n7/uYmNp3xEYwNPKXuk8vLuH9FOVMLzbLTXkw4Zr2Wm+YUcdwT5kdbmkikVc50RfjTfjczSyxcUesY7VsclwLRJK+e6OKFo95c++zl1Xl8ZLELq1E7yncn3o2E/RikKJkjcK+fVcgRT4iOYAJvKM5ThzqYX25j9QU8pDpDCR7a1cav3m7lVGckt9MeMiV1X19bxXWzCsk362R9TUxYpXkG7lxUwvGOEM8f7SSVVtlyxs/De9qZVmihNE+mnC/W242ZcsZgLFNqV+UwcvOcIpZU5iFPkrFLhnNjlFGn4db5Jayb6gQgrcKbZ/w8c6iDtp737pu/q6mHrz99gm+/Ws8xKakTk9j5uuuFE2mePezlT9Jd76LVd0V55lAH+9uCqIBeo7B2qoO7FpXIXp8xTsJ+DJtWZOaWuUXMLsk0p4gm0zy6z8NLx7vO+5AKxlI8uKOVLz5xvO+UunTvKXUW/u0Ddfy/66eyUE6pE5OIQavh+pmF3LOkNNddr1W66120eCrNptNdPH7Ak9v3s6Dcxl2LXJRlTx0UY5dM449hOo3CTXOKONAWpMkfJRhP0dwd40973cwotnD5lPzc957oCPPfW5p44oAHTzCR+zBg1GWu8ZXVVSyrysOil8NrxORTYNFz+4ISjnvCPLLPTVpV2dkU4OE97cwotjC10Dzatzjm7W0J8Mg+d67/vdOs49qZBVw9vQCNPFTGPAn7Mc5h1vORxaUcdWfWHNOqyqYzPhYcsjG1wEyBRccL2ZK6He9aUldKRb4cXiMmr97ueh9enCnH29sSIJ5K8+djncwotvDN9TWYZbbrXbX1xHjmUAdvnPKTVjPljaum5GdmSwyyKW88kLAf4xQF5pfZuGOhi1PeCMc7wkQSaf60z02+SUsonuKRvW6au2PEzymp+9raatZKSZ0QQGam7MrpTk56w9R3RfAN6K5n4c6FrtG+xTEpnkrz2skufrerPdcpr67Ywq3zS5hVIv3vxwsJ+3FAr1W4ZW4RB9uCNG9rIRRP0eyP8R8bG0mrKqF4X0ldkVXPvVJSJ8R52Yw6bp1fwglPmF++3YqqwhF3iEf2uplZbGVBuW20b3HM2dnUw292ttHak5m+txm1XD+zgNul//24ImE/TjjNeu5Z7OKYO8QLxzpJqSrd0eSA71lRlcfX1lZx3cxCHBYpqROTQZJg6zF2vPo8L27aw4lmHzFdHmV1i1h97Q1cvWYR1Xl908wKMCXbXe9YR5g3z/hJpFRePdlFXaGZGmct+dJdL6fRF+WJ/R62nO0mraoowOop+dy/ohyHWT/atycugryqxwlFgQXldm5fWMKpzggnOsK5/81q0PLhRS6+cHkFc0ptsvYoJod0kMYdz/PwL37Lc7sa8UdixJMpVDTUnzrKvu2b2XT13dx3352srcvLlR7luustdnHaG6a1J04gmuKpQ15mlkh3vV7RRJpXTnTy8F53rnx3tsvKR5aUMq/MJr+jcUZSYRzRaxU+OK+Ym+cUYuu3KabUrmd9nYOFFXYJejFJJPAceI3Hf/0LHnvzBJ6Ihvzqhay74SZuuHIJUwt1RDyn2fHs73jwd8+woy0x4KfNei03zy3mw4tL0WsUVMh119ta7x+Vf9FYs72hmwd3tOV23ztMOj4wu5Bb58n0/XgkI/txpsCs55PLyznTGeXpQx2oQKM/xgtHO1lYbmd+maw5iokv3X2S3Ztf4qUt9YSstaz50Ce5/yNXM7vYiKLG6Dy5had/8yCPvnKMPW+8yquz5zLz7iU4+2VUaZ6BOxeWcNxznu56RRZK7ZO3u94pb6ZEcWdTD6qaOad+3TQH960ox26S2BiPZBg4zvSWEH1ieRnLqvIASKRUnjvi5bF9brzB4TkKV4ixK02g4RTHDhyiMWpnxqobuP2eD7GirpQCpxNngYupS2/gjrtu59qFDmKtJzl64BAnfQMbUfV217vnfN319k7e7nq+SIKnDnbwp73uXIXP/DIbH11ayvTiiz+IS4wN8hFtxKTobjnFmfpmuiL9/libR0XdVGoqCzEPciZMp1G4bkZBdr0xRkt35kSvh3a3U1to5mNLS9Fr5XOcGCZqDF/DId5+/VU27zzM6aYOuqNJtBYnpTUzWXj5Bq5ct4LZ5Tbeu+I6RXfzcY4cPExzzwUGqcZMce0s5syfTkmuSZtKt68Lt6eTlKWa6rpZzKqx0beCpaDRWamYPoPZs6Zg33uETq8btzcFBQMfeQathutmFXKyI8x/bGwgnEjnuuvNKrFy3azCi/lNjXuJlMrLx7v42baW3AbgIqueD84t5sbZRTJ9P45J2I8Qtfswr//hp/z2qR20xvo92HS1XP35L3H/PRuoMw3++maDlnuWlHKmK8KDO9qIJNI0+WM8uKONaqeJq6YXDP0fISY9NdzC3pce4TcP/S9vn/YSisZJJFOZndkaLWeOH2L35pd57unVfPDj93HnNfP6hfK5FwvRtP9V/vjfv+WttvS7fNM5lGKW3Hovn6uro8TYFzTptIqaTqMqGjRaLef7bKvR6dDpdWjIfG/6Xf7KArOe2xaUcKwjzCN7B3bXmz7Juutta+jmJ1tbqO+KopLpwHn9zEI+tbIcqzTPGdck7EdEjPodm9n05naOtftI9h/EaDQ0tnTg60mDaWijb5fdyH3Ly2noiua6673dmKmJLbUbmFsq6/diCOJu9r34MD/78R/ZUt894OREADWVJJ1KkohFCe/5Mw/1hInGv8B9H1xAwflyIR0i4OvA0+6j23+hI3sjwXAsO6XeG/YK9rw8nM58lKNu2hobaOhIUVPW/y9N4W9toeFsEwFs1OQ7cTrP/37rXRq7e5GL4+4we1v7uutNL7bwrfU1k+IsieOeMA/tamNbQ3fu6Norpjj44hWVVDqk9/14J2E/AlIde9my6S32nPQPDHqAdA+dXh/d3QnefQh0YTQKLCy387GlZTT5YxxoCxJPpXn6UAfleQa+traacjmgQgxKCu/hrbz63HNsO+snltZTULeM9Td/kOsvn0ulQ0uk4wz7Xn+e5/68mf0tQbpOvMmf/7eKmtoqbl/sfOdxp+kQoWAPgZAKGisltXXMmFGO7b1mhpV86uZPocDQ/5s0OKqnMH3WdEq2beXYthd59qlayu7ZwHSHDkjS07iDl559mpd2eaBwAVNnzmJ64bsHtk6jcFWdk9PeMPW+vu56T0yS7nqdoQRPHHDz2H438eyHurkuK/euKGdpVZ70vp8AJOyHmxrg+FubeOvtQ7ij2fa1Wi0qKulUGkji83bg8/eQpnjIOyT1WoWb5hRS3xXBE4zTHogTjKX47c42XHYDn7msArtR/t8sLlKilWP7d7BjbwvhlEL+7A3c9dkv8olrZuAwGdBrIV1by/TZs6mtLOQXP/8T21rDNO/fyY4dq7hs/gYqz3nZqeEQwe4AwSQo5koWXvtxPn//Bqrec3ZYg95owmQZGDbawlksXX0la3cf48l9h3jpl9/m1NZnWTi7EkvczcmDBzh8vImumJ3pa1ezfv1iSt7nbWAz6fjQvMxhOb98u5W0CocnQXe9eDLNi8c6+cX2VnqimTPqS2yZSoVb5xVjkDM1JgRJgWEWb97Jm5u3s68+RApAX8GSZaXEuls4dKSdNGl6vF58/m4SFDMc426bUce9y8to64nz6x2tBOMpPKEEP9/Wistm5O5FLnTyhhUXIeWu5+zxE5zpToG+gjnLrmDd2tkU2/S5EbtWZ8TirGHpqss5tHsn+1qPEeluov70aeo71lJZNjDF06EgoUAPQRUUu5OiskpqigpwDOalqbFQteIGPnyvn+BP/8ArR5s4+nY7p/fq0KgpEvE4CSWP2tW38rF772L91PfbPJjtrlcwubrrqarKptM+frSliUZ/DACTXsMHZhfy6ZXl2IyyTj9RTPyFqEsp3cXBzZvYuvMYXYnMGmP+nMu58pqrWFHtoHdwkvR58fr9BC5wj9KFKLEb+fzlFdw0pxCdRkFV4VRnhJ9sbWbjKd/w/UViElAJeb20t3sIpkHjKKeqtpZah/6dU/NosJSXU1FTQZEWSPXg7+qk05d6x3emQpmRfVhVMOblU+B0Yh30Z1AFrbmEOdfey7e+/W3++tM3sKS2ACNp0ro8KuZfyUe/+X/453/8ErcsKceiu7C/KNddb4mL8rxMnX2mu14HTxzw5E6UnCh2NQX40ZZm9rQEcu1w19Zm1unL8mUJcCKZWB9TR5VK+ORWNr+5g4OtUdIAxiksX7OalVcWsu/0JmwKBFVI+zvx+vx0J6FomPp2aBSYXmzhC5dX0vH/t3ffcZJc5aH3f1Wdc5jp6Z64aTbnnFe7QjkYEEKAkIgWGDA2+Dp8bF/fy/ve19fYvBgbrm1sYWQDAiFkBJIIyruzOec8uzs5dZjOuaruH90zG7RpNvbMnu/ns9pV70x39U51PXWe85znJAu83TqIopaqiv9tWzdVNgMLGhw35sWEMU4llUwQTyRRAb3dicftwXmJQZ5ktmJz2LDqAUUhl82QyeTRMJ5zc6CRTqaIJ5IoSLhdbjxe7xVH25cnoze7aZi9lg9PWsxDv5ujUFTRkNAbTJhtNqwWE4YRLhezGHQ8OsPHiYEM39nUSUHVOB3J8tP9/UyrsbJigvu6jrpSHB9I8+y2bt48EaFQXk8/r97OM8vqmFvnEPP0Y4wI9jdKsZfdLS1s3XOahAIgUz13JauXL2RqXYYOjxuHWaIvrUExQjg4SDSuQvWNS67oZYll41z87rJ6QukC+3tKBXu/PhrC7zDisTYxwXvnLCMSrp2mM2JxePDVmDAHfHic1sukAVVUZWhpm4Qs69DpdBdkAVRSqQTxeBINAw6XF4/XeQNSixKy3oTVacLqvO4nGxZwGnl8bg3Hg+d31/vRnj4mjoHuer3xHD/c3csL+/qHt62d6DXzmSV1PDzDh0FM+405ItjfEBrRg5to2bSDY6E8GiDZmlm6ZgWLZgcwGWJUeT247BKkNVBjhINRYjdyaF9m1Ms8OrOa3niOb7V00hnNki6oPL+7D5dZz5dXNRAQFfrCZenwL3iUL31jLZ/Oa0gGMzaH45IXCy2TIZNKk1EAyYzN4cThvHBHNIV0Kkk8kUaTnbg8Hrzeyr38yJLEwsZSd70TwTQnQxnSBZVXD4eY6rPypVWNo7bBTCxb5Gf7B3h2WzeJXGm6xWc38OSCAE8vrBX7a4xRlftpG0W07Gm2t2xk+/5uMiqAHv/8NaxeuoCJDh1IDrxVHlxOIwxkgQKR4Yr86hteOGEz6nh6US39iTz/urWbaLZILFvk2W3dOEw6Pr+8Ho9VbE8pXJrOZMNlsuG64ldqZHt76WnvJKQCJh+Bugbq/RdcWtQUyWSceFIFXSnYe6xJ+o8dZMe2PRzrCJPBhLNmHFPmLmThnGb8tttbHGbUydw/tYoTwTTfGCPd9XJFldeOhPj2xk6CqdLmQHajjsdm1/CFFQ1jrgBROEv8ZK+bwsCejbRs2UVrrFga1Tunsfyu5SyY4cMgAejwej24XXZksqioxMJBBqMxilRzMxKCVVYDX1jZQDRb5Ie7ekkXVELpAv+8pQuHScenloiOWML107K9HNi5jc27O8gh45gwnVnz5jDpwhbqWnmNfVJDtjmxZLvY/u9f461Xt9AaSpMvKGhIyHo9BrObhllref9TT/I7q6fgvY33pV6rgQ/NKS3He2FfqbverlHaXU9RNd46EeFbGzpKHfI0MMgSD0zz8pU1jSLjN8aJYH+dtPgRtqzfyM5DQfIagJHGxWtYtWQejdahMbuM01uFx+VAT4g8UIyECZcr8i/T6+OaSRI0uk18ZXUjyVyRF/cPUFA0umM5vr2xC7tJz0fn+zHpRcpOGAkNtZgjFQvTe+oQ297+Fb96vYWD/Xn01TNZ8+Dv8ODKCe/d96FYDvYZDc3Yya43X+JAJkx/PEvxwlUp8TjxTT+jr6+PYOTzfOr98/HdpoAvSTC9xsZH5/s5FkyxrztJrtxdr7nayp+sGx3d9TRNY33rIF9/p40DvUmUocr7iW6+uqaJydVWRumshHCVRLC/Ljk6trewcds+OtKluS/ZO5sVa5azYKq7PKov0Xu9eN0u7DJEVFCiIYKRGLEiVN2kWh9Zkpjss/KVNU0kcgqvHQmhanAqkuFbLR3YjTo+MNuHTnzKhaugDh7gtz96ju+/tItgQaFYyJFNp0kX9Hin3cMjTz7F4w8sYYJL/54lemoqRSoeJ6WClokRzsYx2GpoXraQhfOaqbFAqq+VQ3t2c+BkL8l8mtDxFn75oocqn4+n7mq4KRmwq6HXSdzd7KE1FKA90na2u97BAab5R0d3vS1tMb6xvp0dHfHhyvsFDQ6+tKqBRU1OcQ24A4hgfx3U4D42bdjMrhNDbXGtTFy6hpWLZ1N7Qd97nacKr8eFXVcK9hQHCYeiRG/W0H7odWWJuXUOvnpXE6m8wtsnS0vyDvel+PuWDqzG0q5fYpmNcEVKjuTgAD2dXQwMj8ZlLDVNNM9dxPyZE6n1mrnYknYtlSx1z9MADWzjlvHoJ5/hqQfn4LcZ0EmgKXmSfYd5+6ff5z9/1sKZRIaBg1toWT+XebM/wgLv7TtH7WY9H5hdw/Fgmu9tK3XXO9Kf4id7+5laY2NObeV219vVGeebGzpYfyo6vGXtDL+N31/VyIPTqjGKHTLvCOKnfK20JMe3bGDTjkP0Z0tXPp1/LivXLGV+s/O9d1EGD16vG5et/E+uRAmFBonG3tt85EYz6CRWjHPxB6saWdZUWp9UVDV2dcb523faeetEZMw1CxFunvNPFZVsuI09r/0rf/NXX+Mfn99E20W6RRVSKZLxBFkNZNcUlj/8BB97bDnNfg8uhx273Y7D5SXQvIxHnvgIH7x7Ok4J1GwvJw4f4OCxEDewB9WIScB4j5kn5vpZVV5nX1A03jk5yPO7e4e3g600h3qTfHtjJ789Fh7eyKi52sIXVzTw4bk1o2IKQrgxxMj+GhW6d7GxZRt7zyRLbXElB1OX38WKRTOpMV5kBKLzliryHTJEVaDAYChILJpAxXvT77qMepn7plYRzymk3m3nYG+SvKKxtT3O199pR5Yk3jfZixjgC5ciu2dy/+f/N3M/GCEei9Df0cqR3ZvZuGUvJ3oj9BzdyH99v4AmG/jdDy8lcE7e3TRhFR/7q+nc95UC6C04PV68TuN75oklnQHXpPksXLqYzVuPsn2gQKTjNK0nTxNd7uM2Du7P6653KpymJ54nni3y8sEQU302Pr2krqI+PyeDaf5pcxf/dTBIplAK9I1uE88srefpRQFRoHuHEcH+WmgRDm5cf05bXDDWL2DV6sXMHW+7ROA24vV4cDmtSMTRUIiVe+QrtyDYQ6nn9Qdn+8gWFL65oYNjA2nyisrmMzH+5u02JOBuEfCFS9FbcdY04fA1oCoKysJlrHnwUR7e9Ro//t5/8ovtPSQ6dvHuG28ydfpkPrTg7HktmRx4AnbcgaEHpIu03i3/lcFLQ9NEJjY62TEQpRgNM9DfR7DIba3Mh1J3vUdm+jgRTPOdTV0UVI0zkQw/3dfP1BorKyuku96ZSIZ/3tzF83v6SOdL2UO/w8inl9TxzLI6nGZx6b/TiBzOiGmkT25lQ8t2DnaX2+LKbqavXMOyRdPwGi51CdPjrarC47IPX+TykRDhaJTkLcxP2ow6Pjo/wFfXNDHVV1oflVdUNrfF+Po7bbzbKlL6wqVJUqlDnt5gxGSx4fTUMm31ozz66L0sCOjRlDQ9xw5x4MBxwhee15KENPTrsq9iwO3x4qt2ly5Q+SSJaJRosjJOzFqnkcfn+rl3qhcoTYltOhPl+T199CXyt/no4HQ4wz+2dPL9nT3DTXO8VgNPLwzwpRUNuEWPjTuSCPYjVexlT8sGtu05Tbxc7GIev4TVq5Ywu95y2X9Qc5UXj9s5vCGOEg0RHIwSvfnT9uexm3Q8ucDPV9Y0Mrkc8HNFlY1nYnz9nXY2nBIb5whXS0JnrmHqjFnMmlqDDBQiPXR1dtCTufbgbLKYsdks5dRjnnwuRy5XGcF+qLvexxcEaK4urbMf6q730719FNXbd5ytoTTf2tDB93ec3a7WadLz0Xmlz7vPbrzCjZYwVolczohoRA9tYsOmnRwN5suFShJa5DC/ffZ/sfunhssGey0fpbutm+zQtSAfIRQaJJZUwXNr77vsJj0fXxhA1eBbLR20hjLkiiotp6NAG6qmsa5ZpPSFq6HD4ashEPBhk3pIKCkSsRixhArX2AVPknXoZD2V2qK9ErvrnQyl+YcNHfxwd9/wiN5p0vPkAj9/evc4ap1m8Xm+g4lgPxLZM+xo2ciO/V3ltrgAGvl4H2eO9NN+pU+SpqKqKsMDeSVKOBglGlVuebAHcJj0PL0wgKZpfKulk1PhswE/W1DJFlXun1ol1uDeYbREK5t//Ut++cZhoriYvPphHn3sfUx3Xvo8kM0WLDYbZgkSmoKqKijXkbHSikWKxUJpSaukx2AwYKywvWcu1V3v+dvQXe9EsDSi/9GePpLlQO8ylwL9n909nka3STTNucOJYH/VFAb2ttCyeTet0eJ5y480VUFRYeTXtjyDoRDRaBIVz22ZU3GY9Ty9qBZVg3/Y2MnpcsDf3hHjf75+hnRe5f2zqjGItbh3DiVJqP0IezZvokerIVu3kLsKGlwuAayT0el1pS1rJQN6gxHDUP2K0sf+N37JSy+2cCYLjsmreeSxJ3hw3qUKUzXS6RTxeHmli86K1eHAbqusc1CSYNpFuuv99liYKT4rf7z21nTXOz6Q5u83dPDjPX0k82cD/VMLAvzZ3eOod5tEHw1BBPurpcWPsuXdTew8PEBp6lDG5muiod6P23z1z1OI9dHZ1UMwUQAUBkNBorHYbQv2AE6znk8urkUvS/zDxk5OBNPkFY393Qn+3zdOkykoPD7XL3bDukNIRgMGgx6pWKCgpEilUqSvMP+uZbNk0+nSFJVsxmqznxOcCySCHRzfu5MDSQlnNsC8tWk0vJd4tgKRcJD+gQgqINtdeLxVVOImeYZLddc7MMBUn5UPz7u53fUO9ib5/9/t4L8ODpAqB3qPRc9TCwP8ybpx1LvMYkQvACLYX6UcHTs30LJ9L+2p8vjdOonVT/4en/rQKsa9pxH4pWgk973Ev/zrD/jFrn5UID8YIjRYqsh338ZY6jTrh9fefnNDBwd6kxRUjaMDaf6/t9pIF1Q+viCA3STW5o55RhdOtwe3VYJ4kvBAP/39KbQG5yXG9iqJgQF6uvpIaiA7vFT7fPiGboIlC2azBbNRoVhUSUQiRMIRclrDcLHqefJ9dLa10tqRQUPCWlNLfWMT1RV66tnNej4wy8fxgTTf217qrne4P8VP9vUz1X9zuutpGmxvLxXUvnkyMry8zmPR88lFtfzxunHUOkXqXjhLBPuroIb2s2n9FnYfH2qLq6Nm7kpWr1jOnMYaLtZD51Lc4xrxe52YpH4yGqjlYB+7zcEeSkV7j8+twWrU8Y1329nRGaeoapwKZfibt9tI5xU+tbhWbI871umr8Nc2UBcwsS+eZeDEQQ7sO8Bdc1ZRe5EfvZbr5ejBPew53E8RCUdtI+MmjMc3FJxlF9XVtQRqLEgDKYoDZzh5/Dit8dnMcV344VEYPL6f3Vt3cCKhgWSldtwkJk2up1LPOgkY77XwxDw/x4JpNp6OlrvrRWiutvCX90zAdQPXtSuqxrutg/zvt9vY2hYjW+6M57Ua+NTiWv7bXU3UOk2iGE84j8jLXomW4sSWFjbtOERfuS2uZGtmyeplzJ8xskAPoKvy4nG7sJe/T8sNEgpHiaVuZzPQs6xGHQ/PqOZr90/grkluJEDRNDqjWf7u3Xa+ub6Drmj2dh+mcFOZaZjYzLQp47AChdAh1r/8E178zUGCFyx/07IDHH7zJX764uscCBdB52HC9FnMmtlwTnA2UDupmRkzJuGQQMt2s++d1/jlr3ZcsDxPIdG+nd+89FNe2dJBVgNd1RRmLljIggmmil4ydm53vTpnqZIwnlX4xcEgL+0fuGG9K3JFlVcOB/mLX59i85mzgT7gMPLFFfX86ToR6IWLEyP7Kyi1xd3K3jOJcgGeDt/cFaxYOJfx9pHnFWWHF6/HhcMAwRygDhIODhKNquCqjHsvi0Hm7sleLEYdf/t2G2+ciKBq0J/M809buuhP5vnDNY3MClTu5h/C9ZCwjJ/P4lUr2LrnDFt7soSOv8MPvn6K7b+ax9xZzdS6jKjJfk4d2sPefUdpH0iQU2WcUxezat1aFtadv57bVDeLBctXsWjnSd49kyHRvp2f/2MvRzYsZP6cZgK20q53B3fvYu/RDiIpBU3nZvKiVdy9dgG1I72rvg0sBh2PzCh319s41F0vy4v7+5nut7FivOu6nj+VV/j5gQH+9p12ToTSw7vXTfCa+eLKBj6zpA6PxSACvXBRIthfjjbIwY3r2bzzGJF8eVW9bTJLVy+/plE9ADoPXo8Lp02GnApajkgozGA0hTbOVTGjF5NeZsV4F1+7fyJWo45Xj4QoKBrRTJGf7O2nL5Hnj9c2sXqiW1T6jkGS0cfsde/n8c5uQj96m5OxLLHek+wJd3B4ixG9TgK1SD6XI58voGgytsbFPPiRJ3lsbTOOC++DDR6mrXmUD/f2En7uV+wP5kgMnGLv+i6ObDWil0BV8uSzOfJFFU22ULfwPj740Q9xV7OTCp2uf49ap5HH5/g5NpDm10fDw931frS7l0lVFvyOa1s/GEkXeH53H99q6aAjmkMpN+6Z7rfxR2saeWKeX7TAFS5LnB2XpJFp3UrLxu0c7M6Ud9zS45+3kpWL5jDefo2jcJ0bj9eD0zG0161aqsiPxlBwVdQPxKiTWdDg5H89MIkqq4EX9vWTyCmk8gpvnYgQShX447VNPDKjGpO+MrISwo0iY/bN4J5P/CHOmlqe/8mv2HYiRDaXoZjLnP+V5iqaF93Hhz72BA+umk6t/b372YOM0dvM6o/+Ps5AEy88/zItBzqIvef5JAyOembc9RhPPv0h7pnXgO1ie+ZWqKHuek8uCHAimKY1lCGdV3ntSIipPitfWtWIfoRVc22RDN/d0s1zO3sJpfIMNehb1ODgT+8ex0PTq8WmNsIVVVJsqSzFfva0tLBtzynixfKo3j6FpauXMW+6j0u2wL8iA94qD26XFZkYKhq5co/8lNbEe+qVbjODTmJqjZW/um8CfoeR723voS+RJ1tU2d0V5y9/c4r+RJ6PLwzc0CIkoQLIBmw1U1jx+FeZvuqDnDy8nwOHW+kaiJFR9ZjtbmoaJzF9zhymT2qg2mXHatZfuhBI0mP2jGPBg5+leclDdJw8woFDx2jrDhPP5JFMLmrGTWX2/HnMnNKIz2XHbJArJtt1tYa667UG0/zdUHe9WKm73tQaGw9cZXc9TYO93Qm+ub6d146GSWRL/T1kCVZPcPPn7xvPmkkesSRWuCri6nxRGrHDG9mwacc5bXH1BOavZMWiuYy7ruYeOtweL26nA4kYAOpgmNBglLgKrgq8QdfJEvUuM19Z04TfYeQ7m7o4ESzNGbaGMvz1W210RbN8fnk947y3rmuYcAtIekw2F/4Js6iqn8z8tXkKRRWNUktbvd6I0WzEqNddXVCWdBgsDqrqbbhrmpi6+G4KBQVF05AkGZ3BiMlkwmi4yuerUFVWA4/NqeFYubueomns6krw4z19TLmK7noFReOtExH+7t12tnfEhreoNeklHphaxZ/dPZ4FDQ6RUROumgj2F5NrY+eGjezY30m6vKxeckxl6aqlzJtedR2j+hKT14Pb7cQiQVIDLRshFIoSTWk0XqYl6e0kS+C1GfjU4joCDhPfXN/Oto44iqrRm8jxT1u6ORlK89U1TSwb7xLz+GOMJOswmK0YzNYb9YTojGasxhF0pBpFzuuuN5BiX0+SXLHUXW9ytZU/WXfx7nqD6QLBVIGNp6N8a0MHJ0MZ8kop0Hssej46388frm5kYpUVQ6VuHCBUJEnTxIam76EVSMeixBIZCkMr4mQjdrcbp93MdU8hFjPEolES6UJp/k3SYXG6cTltGEfBjXqmoLKzI8Y31rfz22OR4V2+zAaZ2QE7f7C6kQ/O9ol5xAry8wMD/I/XT3O4LwXAV1Y38tcPTcIqfkY3VTxb5Nlt3fz1W6XuerIEc2rt/MU94/nw3PO76x0PpvmnTV28fjxMKl+kL1EYLsRr8pj5/LJ6PrOkDp/DgE7cTAsjJEb2FyMZsLp9WN036fn1FlzVFq5vIc7tYzHILBvv4usPN9Po7uIne/uJZopkCyp7uxP85a9PcTKY5pll9TS4Tbf7cAXhtnFcorveC3v7mVZjY3atnbyi8m7rIH+/voMt7bHhtrdDw7C5dXb+211N/M4sH06TXiytE66JCPbCNTHqZKbV2Pgf901gcrWVf97SRWsoQ1HV6Ipl+famTk6G0nxlTROLG53iAiXckS7VXe/tk4NMqurlc8sb+NWREP+ytYu2SJZc8WxzLYNOYl2zhz9dN47l41wiCyNcFxHshWumkyX8dhO/u6ye5morf7+hnY2noygaRDNFfnEoyOlwhi+ubOCDs304TOJ0E+48OllixQQXH18QoDWUpjeeJ54t8vyeft44HqErlmMwU0Q9Z0bVadbxodk1fPWuJqb6rBhFIZ5wncTVV7gukgQOk457p3ppcpv4P5s6eXH/APGcQqagsqcrwZ//6hS7OuN8YUUD0/22233IgnDLWQ06HplRzYmBNN/e1ElR1ehL5OhP5FHKQV4C5tTZWVDvYFqNlacW1eK3G9GJ3WyEG0AEe+GGMOtlZtba+X8emMRkn43vbu3mTCRDoVyt/9zOXg70Jvn9lQ08NL1apCSFO06t08jaZg9vt0bY35MsN8cpBXqLQeahaVWlkXyNDaNOwiHm54UbSAR74YbRyxK1ThO/t6Ke6X4b/9DSQcvpKEVVI5lT2NIW40w4w87OOJ9bVs+k6hu0jEsQKlw6r/DmiQjfaung2ED6vL+rd5n49OJaPru0jnqXWSypE24KEeyFG0qSwGnWc+9UL83VFr6/o4cf7u6jP5GnoGh0xnJ8d2s3+3qSfHlVI/dO8YrGIMKYdiqU5tltPbywr5/eeH543bwswaIGJ19d08gD06twmg1i/3nhphHBXrgpzHqZKTVW/vx941nY4OQ7mzrZ1h5D1Upbf244FeVEMM1js308s6yeaTViLl8YW9J5hTeOh/nOpi52dSVI5IrDy+mqrAYen+vj95Y3MLXGisUgprWEm0sEe+Gm0UkSXquB98/yMc1v5dmt3bywb4BIukCuqNI+mOXZbT1sbYvzzLI6PjDLh8dquPITC0IF0zQ4NpDi2W3d/NeBAfoSheHRvE6CBQ0OvryqkQemVeGxGka8MY4gXAsR7IWbzlLurPe1+yeyuNHJdzZ1sbc7gaZBIqewqzPO6XCGt05E+OLKBpaOc4kLoDAqDSTyvLR/gOd29nA8mCaZV4ZH89U2A0/MreFzy+qZ7LOKIlXhlhLBXrgldLKEz27kiXl+5tTZ+Y+dvfx0Xz8DyQIFVaM/meflQ0H2did4ckGATyyqpckzNvumC2NPplCamvrnzV1sbosRzxaH20jrytve/sGqRu6fVoXHohfL6YRbTgR74ZayGnXMqXPwP++zsK7Zwz9v7qLldJS8opEpqBwPZvjmhg7eaR3kM0tqeXh6tUjtCxVL0zQO96X4163dvHIkRH8if14XPL/dyEfn+/nMklqafVas1zE3X0wE6TrTyplg5gYcuQ6br4HxzROpsYobjzuBCPbCLaeXJapsBh6cVs3sWjsv7R/g33f00BrKoGoa0UyRzWeiHOlL8fMDQZ5ZVs/aZrFvt1BZemI5XtjXz49293EylCZ1TsreatCxdpKbL6xsYMV4Fy7z9Y7mFQZbt/Lyv3ybF/fGue7dy6QqZj3wMZ75owki2N8hRLAXbhuzQWZilYUvrmxg5QQ3/7atm1cOh4hni+SVUmr/N8fC7O5KcM8UD59bVs/CRqeYzxduq2AyzyuHQ/xgVy8He1PEc8Xh3elkCWYF7Hx+eT2PzKjG7zDemKWlWppQfwetJ9oJBovX/XSS1YlkduC1ihvoO4UI9sJtJUsSTrOeZeNcTK62cP9UL/+6tZvt7XEKqka2qNIZy/LCvgE2n4nx/lk+PrW4lmk1NtFdTLilopkirx8P8/0dPezpShDLFikoZ8fYtU4TH5vv5xMLA0yqtmIz6m7cOVoIE+7vpLv/+gM9gOz0UhWowy9myO4YItgLFcGgk/A7TTw2p4Zl41y8diTE97f3cKgvhaaV1iyfDGX47pZu3jge5v0zfTy5wM9knwj6ws2VzCmsPzXI97Z3s60tzmCmOLyUDsBm1HHPZC+/t6KepU1OnNedsn8vJRom2NVNX678gGTDN76ZaTObcI14cC5hDsxk5Zxx2MRn544hgr1QMSRKc50Tqyx8dmk965q9/Gx/P8/v7qNtMIuqacRzRQ72pTgTyfKLw0EenVHNxxcGmCqCvnCDpfIKW87EeG5nDxtORYmkC2TPKb4z62WWjnPyzNJ61jV7qLIZblI3SI1MOERfdw/R8stL9npm3/MUX35mHfXXUPMn6Y2YLFbE4r87hwj2QsWRJQmHScesgI1xnnE8OK2K/9zVyy8OBgmmCiiqRixb5FA56L9yOMTD06t4amGAaX4bsoj6wnWIZgq80zrID3f1saMjzmCmQKZw/j7zC+odfHZpHfdN8VLjMN7kDnhFIqEBuroGGEri690+6iY001xTheUmvrIwdohgL1QsnSzhtuhZ0uRiao2Vx2b5+I9dvbxxPMJgplQUFc8WOdyXom0wy6tHQjw0vZqPL/AzM2AXa5mFERlI5vnN0RA/3tvP/u4ksWzxvJG8TpKYGbDxmSW1PDS9mjqXCavhBs7LX4oaJRzqpqs3W35Axlnlo7a+HtNNfmlh7BDBXqh4Bp1Etc3Iusle5jc42dOV4Ie7e3n9eIRIuoCilYL+0X6Fjmg3vzgUZNUEF08uCLBsnAub6FQmXEZXNMfLBwd46cAAR/tTxLLKeXPykgRTqq08vbCWD8yupsljwWbU3bJNa7RMmFBvFz1RpXxAFry+AHX1bkQtvXC1RLAXRg2TXsbvMHL3ZA8LGxzs7U7wo919/PZYmNA5QT+RK9IVy/HG8Qjz6hw8Ma+G+6ZW4XcYb/dbECpEXlE51JvkpQMDvHE8wplIlkTu/Op6vSwx3W/l4wsCPDStmiavGYdJd8uniZRIqThvoFB+QOemyldHfUBcvoWrJ84WYdQx6WVqHEbWNXuY3+DgE4sCPL+nj18fDRNMFYar99N5hWCqwPbOGM1bunlkRhWPzalhis8q5vXvUKFUgXdPRnjpwAA7O+OE00VSeWV4nTyASScxr750Xr1vspdapwmbSYfutpwzKrFQkO6uXoaS+JKziuq6euos4hwWrp4I9sKoZdTL1NiN3NXsYV69g08vqePlg0F+eThIW6R0acwVVYJJlcF0nKMDKX6wq4+l45x8cHYNqye4qbKJhcZjXVHVOD6Q4ucHg/z2WJjWUIZ4rkiuoJ7Xic5q1LG8ycknFtWyeqIbn92I9Ram6y9KyxIO9dHVHaGUxJcwe6rx19XhFbNTwgiIYC+MekadjM9uZIXFwOxaO59eUstbJyK8sLef/b1JCopGUS214Y1ni3RGs7x+PMJ4j5m7J3v5wCwfc+rsmG/KsinhdtA06IvnWH9qkNeOhNjZGSeYKpDMKcMb1AypshpY1+zho/NqWDrOhddqwHIrCu+uhhIhPNB1TjMdGXdVDXX1dYjbVGEkRLAXxgyDTsJrNeCy6JlYZeGDs2vY1h7jx3v62HgmSjyroGqQLqikC3nCqQJHB9L8eE8fswI2HplRzf1TqxjnNYs0/ygVThXY0hbltSNhtrXH6EvkSeRKVfXaOTFeJ0tMqbbw2JwaHpxWRXO1FZdZj7nC9l9QYyGC3V30ZsoHLznw1tRSV29DnKHCSIhgL4w5OknCYdJjN+qpdZpY1+zhUG+SVw6H+PWxMG2RDKpWSu/Gs0US2SJ9iTzbOuL8Q0snc+rs3DvFy7pmLxO8ZrGEr8LFs0V2d8V59XCITWdidEazJHIKmYKKqp0/ineZ9awY7+Ij82pYPt5Njd2I3aSr0P0WNLLhEP1d3QyWC/HRGdEyEboPbeDd4yN8Or2N6obxTJroR+x9c+cRwV4YsyQJLAYZi8FElc3AgkYnX1zZwPb2GD8/GGRzW4xIuoBGaW4/V1SJpAu0D2Z5t3UQt6WdWQE790z2cPdkL83VVgw6cZW83TQNBhI5tnfEWX9qkG3tcdoHS9X06YJ6XrEdlEbxE71mHp1ZzSMzfEyvseI06ysnVX9JCoOhIF1d/RSGHwrTuuXn/NOBX4/44i1Vzeb+j3+OP5wggv2dSAR74Y5g1MlUWWU8Fj3jPGYemF7NmXCGt09G+MWhIId6U+SUUqo3W1TJFlXC6QKd0RwbT0f5+w2dTKuxsmaSh9UT3MyqteE0i4/PrZJXVE6FMrScirL+9CAHepJE0gVS+dII/sJ5eAmod5WyOg/PqGZBvYMqmwGHST96btjUOOFgN1296bOFhJpCPpMgn0mM8MkkrC4Js8OL2OjuziSuVsIdRZYkrEYdVqOOapuBGQEbTy0McLA3yevHIrx9MkJrOENR1dC080f8XbEcW9tjfMeoo8ZuZG6dnVUTXKwY72ZSlQWjKPC7YVRNYyCRZ193kq3tUba0xWgNZUiUl1TmiirqRTZ199kMrJro5pEZ1SxtcpbT9HrMernCR/HvpeXChAa66IkoV/7iK9LhqvJRWx8QhX13KBHshTuWXpZwmfU4zaW5/RXj3fzR2iaO9qd4+2SEt05EOB5Mk1c0NEqjy3xGZTBTpC+e5/hAmteOhLAZdTS5TSxucrK0ycW8egfjPOabtCnK2KSoGj3xHLu74uzsSLC7K87pcIZkXiGdV0kXlPMa3pyr2mZgSZOTB6ZVsWqCmzqnCYdJh9kgj+pCS3UwTLCzm/58+QGdm6aZ81mybCrekZ5akoHq5gUsnigK++5UItgLdzyJUqMek17GazNQ7zKxfLyLP1jdyIlgmndbB3nzRIQj/anhDVEUTSNdUEgXFEKpAt2xHPt6kvxodz8WQ2n9/wy/jbl1dubV2ZkZsOOzG0fd6PJmiWWLnAqlOdKfYl9Pkr1dCdoHsyTLaflsObhfLLzrZYnxHjOrJ7pZ2+xhfr0Dn61UaGcxyGOkoFIjHgrR09VDeqgQ31nPjLse47OfWU3NNWxrqzMYMZnFDeidSgR7QTjHeYHfaqDOZWJxo5MvrGigfTDLrs44m85E2dkRpzueG04lF1WNRE4hkSulXLtiOQ73p3j1SAiLQcZu1NHkMTEzYGeKz8rkaivN1RZqnaYxnQFQVY1QqsDxYIqj/WmODqQ42p+iM5ojkSul47NFlcxlRu7A8C6Iayd5WD3Rw5QaK06TDptx9I/gL0rLEQn20dUdKu90J2Hy1FA/fhJNHpfYAEcYMRHsBeEyjDoZo1XGUw788+rtPLkgQCxbpDWYZmt7jM1tMfaXC8aGKKo23LIXSjcRZyIZtrXHMenl0vPqJdxmPU0eM83VViZXW5hYZaHJbSbgNOI060dFENM0SOWK9MTzdEaztA1maItkaRvM0hbO0JfMkymow/UPuaJKoVwTcSl2o47JPiuLG50sbnQwp85OndOMzaTDZpAx6OWxnY5WI4RCXXT3DZ1TMq5qH7WimY5wjUSwF4SrpJdL6/cdJqixGxnvMbNigpsv5BVCqTzHBtLs7UqwryfBwd4kfYk8Q4PV0py/Rl45O/oHkCU4OlCaKhi6CTDoJAw6CYdJh99upM5potZlotZhJOA04bOVGgcN1Rs4TDoMuhufHVBVjWReIZwuEEkVCKcL5/05mCrQF8/TFcsSSRdLQVzRKChq+b2qw90Lr8Rl1jHdbysHdyczAzZ89tI+8RaDjFk/VtLzV0dLhAn1dNGbGsrh20ub39TbxE53wjURwV4QroEklXrzG/UybouegNPIFJ+Ne6d4yRZVUnmF7liOg71J9nUn2d+T4EQoTTx7fmW1Olzxz3k3AVC6EdDLEnqdjEGWyn8u/a6TJGS51EBIL0tYDTKOoeBv1GEsB8fS10LbYJa+eH74uVtOR/mTV0+iqJArKmSLGtmiSq5wNq0+NH+uaBqKWspWFFUNRdVQtNKfi4pGofzY1XKYdEyssjCjxsY0v42ZARuTqy14rUYsRhmLoTSNcns2nqkEGvlwkIHObkJDXXJNHqoDddT7xCVbuDbizBGEG0CWJMwG6bx2q+M9FhY2OMnMLxWcxbMKXbEsraE0raEMJ4NpToYydEVzpAvvXV6lamezAVd+/dIx6GQJWQIJabgYUKJUU5A/Z078UF+SE6E0mlZKw2toqBpoWim9rlJa/na5VPuV6GWJapuB5moL02psTPfbmF5jo8ljxmHWYdbLmHQyJoOMUSeNiimLm08DikRCIbq6+hi6PZNd1fhq66kTuzQL10gEe0G4SfQ6CbtOh92kAwxoGkz2WVg53k1eKc1d5xWNRLZIVyzHqXCatkiW7liOnniO3niO/kSeRE656Jryc6laKThfTcocrv4m4krMehmf3UCDy0yD20Sj28w4j5nxXjMNLhNui2G44NGklzDpZQzy6FvzfuvkQYsQDvbQ1Zssr0aQsFf5qG2oxy5y+MI1EsFeEG4RSSoX/OkAzu5PqmkwpcbKqgmlm4Ciqg3PdecVlXim1Lt/KPiH0wXiWYVYtrSLXzxbJJ4rEssqxLNF0nmFyxS2X5ROljDpSpkJs770y27S47XqqbIZqLIa8FpLv1dZDXhtBqptBjxWAxaDjKE81VCqNyiN1A1itD5yyiBkjxLu76InOJTDN+Kp9lNf7xcXbOGaiXNHEG6zS90EDFG1s3PjZ+fMSwV0iqahqqV1/+o5c+ulefazv0rfV0rnK5pWXmIoYTLoMOtKdQGyBJIkIVP+XeLsvP/Qr3Idwdn/l8Qo/QbSUmGUzn0Eu7voG87hO8s73YkcvnDtRLAXhAonSxJGvcRILvVa+T9DbWlK8/IM/1midJMhlQO8iNeVoRAOET1wkN6uHhKl/k1Itip8gXrqHSKHL1w7EewFYQySyv8ZDuMimo8CCtFQkKP7j9HVHWUoiW/wVOOvb6BGXK2F6yBOH0EQhEqgpQmFetl/KExX71DxpIyzykdtfT1mccMmXAcR7AVBECpBIUx4oJNDbQV6s+XHJCteXy119S7RTEe4LuL8EQRBqASGehZ+4I9Z+tkvM1yIr3dT5a+jPiDGZcL1kTTtetpmCIIgCDdSIh4nFAqVCiolA1anG4/XgUmk8YXrIIK9IAiCIIxxIjckCGOMkh2kp/Uge3ft4/DxU3T0DBCOJskpMkabC4+3iupAA+OnzGbh4vlMG+/DJq4EgjCmiY+4IIwJKpngKfZu+DWv/qaFfce7iaQy5HJ58oUiiqKiAZKsQ6fTodMbMJrM2Lx1TF6wjoc/+CjrFk7EI/q2CMKYJNL4gjDKaZl+jm56jZ/+5BVaDrQRiqfI5RXUq/lmSYfRbMNVN40Vv/Nxnn7iXubWWsSyfEEYY0SwF4RRSyPbd5B3X/pPfvBf6znSHSOdVzj7gZbQm514fD6qXRZ0Wp7UYIhQJErigq12kQ1YPONZ8v5P8ruffoxljSLgC8JYItL4gjAqqaQ6dvDqD/6N/3x5G22DGQpD7VWNbhpnLmXdg/dz1+KZNFXbMOokQENV8iRDnZzYvZG3Xn+brQfaGcypoBbIRE6z/dWf4an24fvEvTTbRbgXhLFCjOwFYdTRyPbs4tX/+C7fe3EzbbFceZc7PY6mBdz3xNM88eBiJvld2CwmDDrpvO9VlSL5TIr4wEm2v/YTfvjC6+zrSZfS/rIR3/wP8Mwf/D5P3dU4on78giBULjGyF4RRRo2dZNMvX+AnL285G+glM/459/GRz36ax9dOo8ZuRn/RllkSss6A2e7GbJ3HvU+5sVtMPPvcy+zoyYGaJ3x0J1u37GTR/AbmOMXoXhDGAtFBTxBGE3WQo5t+wy9/8Q5HQ9nyiN5A9ax7eeKZz/HkvbOodV4q0F9ANmD2TGTZw7/DI/ctpLY8jFcz3bQePcyxUzFE2k8QxgYR7AVh1NBInNzBhtffYMvpGIVSizUsjYu5//GP8fjdU6my6EdWWCfpsATmsHj5ShZOspW+V8vT39HGmdNdZES0F4QxQQR7QRgt8l0c2NZCy5ZW4oVyFDY3sOB9D/HIg/OptY4w0A+RrTROmsz0KU1Yyk9QCA/Q39dL6KrW7wmCUOlEsBeEUUEj3nqAXVt3cCSSL6fX9dTMXM5d6+5idrX5Oj7MEqbqanyBGtzlYK9lEsTjceKFG3HsgiDcbqJATxBGAzVC6+H97DvYQWZoiZ1tPHOWLmfZ/FrM13nbLjmnsvYT/50p93yJrAZIJpyBOupFOb4gjAki2AvCKKCGWjlx+BDH+4dG9TKuibOYt2A+kxy6638B2YKndiKuwDkteSQZSeT+BGFMEMFeECqeymBHG6dbzxAZ2udcdjN+2gymT6+7QVufSkiyxA24bRAEoQKJ+3ZBqHRaiu7Odto6wwzHelcjE5ubmVRjuK2HJgjC6CCCvSBUumKQYH8PfcGhajkJs7+BxqZGfCLWC4JwFUQaXxAqnJqIEA6GieSGHpHx1PjxB/xXbGerho+w4dev8Nqm06RHsGZesjSx8L5HePSBedSI3L4gjHoi2AtChdMScRLRGImhNe+SFbe3Cq/3SjvTaSS7T7J345u8uaFreArgauhqV1C/XMUicn+CMCaIYC8IFU5JZ0in0uSGRuaSFbvDgdNxpUicY6C3i472HtK5/AheUcbl9FDt8w032REEYXQTwV4QKppGsZgnXyic7VMvGTGZzZiutLhejRNP59BMdYwbf7lWeCq5ZIzYYIyMAqDHW+PHH/CJC4QgjBHisywIFU7TQDtvS5rSMjnpSqNu2cuMez7FXyz5MPnLxfpiJ1t/9gOe+/7rnFQA2U21P0AgIDrqCMJYIYK9IFQ0Cb1Oj153zkdVK1LIFSjkNS6fZ9djdngxO7yXfQV1oAc1E2ewXOwv2arxBwIEnGLCXhDGCvFpFoQKp7OYsVgs51TeZ8lm0mQyN2KXGoXg6VOcONpKVCk9ovf48AcC+MRQQBDGDBHsBaHCyQ4HDrcT+9CnVU0SCYUIhXLXvd+8lu3i2KF97D8eKVfryzh9fvz+AGZRnCcIY4YI9oJQ4WSXD5+/hmrz0CMFwn099PYMjGg53XsVCR3ZydaNWzkeKw/rJRNVNQECAY9onSsIY4gI9oJQ6Qx+6hqaaPAPJfI1Uu0nOHrkKG2Zax/bF4KH2fLW67yzp5fs0IyA7KHa78cfEK35BGEsEcFeECqdZKNp0mSmTmnAVH5ITbWxf8c2dh4Y4Fq2nNfSnex6/ee89MpWOpLK8OOyozRf77eJHL4gjCUi2AtCxZOwT5zN7PlzmewsB2EtS9++d/jVq6+zozMzorl7NdHOtpef49+ee4U9vSmK53yzwVsK9tUihy8IY4qotxWEUUAyNzB/+SpW7tzH6XfOkNZASfey77Xn+BclR/ZTH2L1FC/Gyw3ItTzRM7t588Uf8cJrmznWGyennPsFMm5fzVX13BcEYXQRwV4QRgPJgHvaGh76QBvtPT/kzaNRFBRysU72vPJdeg5vZcmau3nf2mXMnToOn8NQ7puvoWQH6T6+j63r3+bdlu0cONFNJJWliJXaxioMcobu9hCKZKPKX0sg4BQpP0EYY0SwF4RRQjZ5mbLuwzwdT5J+9kU2taVQNYV8KkLn4c2E2vbT8nMHdocDl8uJ3aJHyyWJRmPEE0lSySTJVIZ8UUWTbdQvfoj3L60ivOuX/Kwd0HvwBfz4xQJ7QRhzxKdaEEYNGYO9nvmPfoYvOz14/uOnvLWvm5QCmpInHY+QjkcISjKyTkaWJNBUFEVF1c5OzMvWALPXfYinP/kY0+Pr+dHm0py/7PJR468lIBbYC8KYI4K9IIwqMkZnHbPu+QRfHT+LJa//kld+u5kDZ0LlTWxA01SUoopywXfqLFU0zV7Ngx94P/evmccEv4Xud7Ikkmk0JCxVNQQCftyiOE8QxhxJ07TrbcIlCMJtoBVzZFJxIv1dnD56gP37DnHiTBd94RipbAFNZ8LqdFPlb2TClBnMnjubaRMb8Hmc2K1GdJJGPhklEomQymvIJjtubxVu29B8vyAIY4UI9oIwymmqQiGfJZvJkMsVKCgKqqqBJCHLenQGAyaTGbPFjEmvu/JueYIgjDki2AuCIAjCGCdW2AiCIAjCGCeCvSAIgiCMcTe1Gr9SZgiGjkMaJZOVo+14LzTaj3/Iue9D0zQkSRr170kQhDvTTZuzH7o43m6VchxXa7Qd74VG+/EPudz7uNhHZiy8Z0EQxq6bMrKvlAt+pRzH1Rptx3uh0X78Q670Pi72d5e6Zx4L/x6CIIx+oqmOINwAI8kCXO7rBUEQbgYR7AXhJhJTAYIgVAIR7AXhNhA3AYIg3EqiQK/CjLbjvdBoP/4hlfY+xE2AIAjX46Z20BNL767NaDveC4324x9y4fuoxPcjbgIEQbgaol2uIIzAaAmuqqoC5/cIGPp/QRDuPO8J9pWWvhSE0aCSbgKu5jN8Nff44jogCGPHZUf24oIgCNfnVt8E3Iyb9StdB8Q1QBAq32Wr8UfyIRYXBEF4r7FQdX+1xyUGB4JQuW7Y0jtxQRCEqzcWbgIudC2DA7H/gCDcGhVdoHfhoV2syltcGISxbiRd+EZTzc1I9x8YMlrenyBUkooO9pdysYuEyBiMDbfzdLydSwav5bUvdfM7GgL+9R6jaEMsCCMzKoM9XN/F4mrfsrhw3Fq3M0iNpdfWNO2SNw+Vck7fzH9vcSMgCO+lH81zhNdqpO9PZA1uvrEUbG/3a1/NvPdYPqcvd9ziRkC4U43apXeVmqq82L/ZaO4oVwmp7SGj8d+v0lTq5+Z6Xe95OtrOtVt9vCN5vUr/WVx4fJV4fb4Zx3LD0vi3eundaLxojbZjHmsjXkG4WqPt/LvVx3srX+9WvdZo+5mP1C2fs78R2YLR/EMZLccuAr1wpxtt56EI+KPndW6HEa2zV9re5rl//wm/2t5B9nJfKFWx8InP8dSH1jLNfe0FQueuxR2qMh56jkpMvQiCIAhCJfq/5HGnOvmCVUAAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/364.jpg"
}
] |
<image>A D and C G are diameters of \odot B. Find m \widehat G C F.
|
D
| 64,812 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/365.jpg"
}
] |
<image>Line l is parallel to line m. What is the value of x?
|
C
| 64,813 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/366.jpg"
}
] |
<image>The diameters of \odot A, \odot B, and \odot C are 8 inches, 18 inches, and 11 inches, respectively. Find F G.
|
C
| 64,814 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/367.jpg"
}
] |
<image>Find x in \triangle P Q R.
|
B
| 64,815 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/368.jpg"
}
] |
<image>Find y.
|
A
| 64,816 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/369.jpg"
}
] |
<image>Find the area of the blue sector.
|
B
| 64,817 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/370.jpg"
}
] |
<image>The diagonals of rectangle A B C D the have a length of 56 feet. If m \angle B A C = 42, what is the length of A B to the nearest tenth of a foot?
|
A
| 64,818 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/371.jpg"
}
] |
<image>Quadrilateral W X Y Z is a rectangle. Find the measure of \angle 12 if m \angle 1 = 30.
|
C
| 64,819 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/372.jpg"
}
] |
<image>Find x. Round to the nearest tenth.
|
A
| 64,820 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/373.jpg"
}
] |
<image>In \odot A, m \angle E A D = 42. Find m \widehat C D.
|
A
| 64,821 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/374.jpg"
}
] |
<image>Find m \angle 1.
|
C
| 64,822 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/375.jpg"
}
] |
<image>Find the area of the shaded region. Round to the nearest tenth.
|
B
| 64,823 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/376.jpg"
}
] |
<image>Find the scale factor from W to W'.
|
B
| 64,824 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/377.jpg"
}
] |
<image>Find m \angle 4.
|
B
| 64,825 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/378.jpg"
}
] |
<image>Find x. Assume that segments that appear to be tangent are tangent.
|
C
| 64,826 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/379.jpg"
}
] |
<image>Find the area of the parallelogram. Round to the nearest tenth if necessary.
|
C
| 64,827 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/380.jpg"
}
] |
<image>In \odot O, E C and A B are diameters, and \angle B O D \cong \angle D O E \cong \angle E O F \cong \angle F O A. Find m \widehat A C B.
|
C
| 64,828 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/381.jpg"
}
] |
<image>In \odot G, m \angle A G B = 30 and C G \perp G D. Find m \widehat F D.
|
A
| 64,829 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/382.jpg"
}
] |
<image>Find the area of the figure.
|
B
| 64,830 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/383.jpg"
}
] |
<image>Find the area of the figure. Round to the nearest tenth.
|
B
| 64,831 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/384.jpg"
}
] |
<image>Find y.
|
B
| 64,832 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/385.jpg"
}
] |
<image>If A B = 60 and D E = 48, find C F.
|
B
| 64,833 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/386.jpg"
}
] |
<image>Find y.
|
D
| 64,834 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/387.jpg"
}
] |
<image>Find x. A = 96 in^2.
|
A
| 64,835 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/388.jpg"
}
] |
<image>Find the area of the quadrilateral.
|
B
| 64,836 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/389.jpg"
}
] |
<image>In the figure, J M \cong P M and M L \cong P L. If m \angle P L J = 58, find m \angle P J L.
|
D
| 64,837 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/390.jpg"
}
] |
<image>Use rhombus X Y Z W with m \angle W Y Z = 53, V W = 3, X V = 2 a - 2, and Z V = \frac { 5 a + 1 } { 4 }. Find m \angle Y Z V.
|
B
| 64,838 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/391.jpg"
}
] |
<image>Find the perimeter of the figure. Round to the nearest tenth if necessary.
|
A
| 64,839 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/392.jpg"
}
] |
<image>In quadrilateral A B C D, A C = 188, B D = 214, m \angle B P C = 70, and P is the midpoint of A C and B D. Find the perimeter of quadrilateral A B C D.
|
C
| 64,840 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/393.jpg"
}
] |
<image>Find m \widehat T S.
|
D
| 64,841 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/394.jpg"
}
] |
<image>Find the area of the shaded figure in square inches. Round to the nearest tenth.
|
C
| 64,842 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/395.jpg"
}
] |
<image>Find m \angle F.
|
B
| 64,843 | null |
B
|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAzwAAAF9CAYAAADBbW0OAABp20lEQVR4nO3df1RVZd4//Lc3N66VLZR54ICJKI1yVDDzKxwUUrv9hcDUGGOSZaGFTlZjmTqa3nCzuGH8lZlFP5wUU4oiHMZ8alDB9B4lRA/wGIoK1AQHD6nAd4C+1Frx9PD8QZxhn73P71/7bN6vtVyLvdlnn0vEc+3P9bmuzzWsr6+vD0RERERERAr0b55uABERERERkasw4CEiIiIiIsViwENERERERIrFgIeIiIiIiBSLAQ8RERERESkWAx4iIiIiIlIsBjxERERERKRYDHiIiIiIiEixGPAQEREREZFiMeAhIiIiIiLFYsBDRERERESKxYCHiIiIiIgUiwEPEREREREpFgMeIiIiIiJSLAY8RERERESkWAx4iIiIiIhIsRjwEBERERGRYjHgISIiIiIixWLAQ0REREREisWAh4iIiIiIFIsBDxERERERKRYDHiIiIiIiUiwGPEREREREpFgMeIiIiIiISLEY8BARERERkWIx4CEiIiIiIsViwENERERERIrFgIeIiIiIiBSLAQ8RERERESkWAx4iIiIiIlIsBjxERERERKRYDHiIiIiIiEixGPAQEREREZFiMeAhIiIiIiLFYsBDRERERESKxYCHiIiIiIgUiwEPEREREREpFgMeIiIiIiJSLAY8RERERESkWAx4iIiIiIhIsRjwEBERERGRYjHgISIiIiIixfp3TzfAVk3NOlRe1KKhvh56/U206HRouFYnuGZBQiJGjhwJ9aTJmBmjwbT7Ih1+39ordbh4SYuG+hu42dIC7YUKw/cCVEGYHhWFkJCxUE+ahITFC+E/apTD70lERERERI4Z1tfX1+fpRlijvKISH+Tn44uTJ2x+rSY2Dk+tXImkhHi3vW9q2hqkpj6JsPHjbH5PIiIiIiJyDtkHPJ1dXfjTn3bgWNEnDt8rOeUx/Od/brU6+7J3Xy7e2bfX7vcLUAXhtTfewOy4WXbfg4iIiIiI7CfrgKezqwvPrX1eMH3MUZrYOLy7/x2LQc9/Z29Hft4Bh98vQBWEA4cOOWVaHRERERER2UbWAc+za5+3awqbJQsSEvHn/e+Y/P6BvMPYlZ3ltPcLUAXh1OlSrushIiIiInIz2VZpKywqtjrY0cTGYUFCIjSxcVZd/8XJEygsKpb8XlOzDgf3v2vxHuqISCxISMSChESL13a03cHRvxyzqm1EREREROQ8ss3wJCU9JKq+ZkxqTU5Tsw5vv/2OxTU/mtg4fPxxgei8NdmdnN17sDxlqeA9t76y1eLUu6qvLjPLQ0RERETkRrLM8JRXVFoMdhYkJOLV3TtFAUTY+HF4dfdOi9ke7YUKNDXrROctZXe2ZGQKgp2B93x3/zsIUAWZfe3JU6fNfp+IiIiIiJxLlgHP9es3LF7zwgsvmP3+kuTfWbxH2ekzguOSk6XoaLtj9jXLHk2WPO8/ahR+89slZl9bXaW12CYiIiIiInIeWQY8VdpLZr+vjoi0WPVs1kyNHe9bZfb7CxISzU5JU0+aZPb1ziitTURERERE1pNlwNPd1WX2+6HjLG/mac2Gn8aBVaWFNTjRmhiz34+YMtnie9ZeMT9Vj4iIiIiInEeWAY+lxf+WAg97WVo35OfnZ/b71uy1c82K6XpEREREROQcsgx4PKG8otLiNWPHhjj8Pt9//73D9yAiIiIiIusoNuDptDAtzlXUEeazPA31zPAQEREREbnLv3u6AVK+bvrW4Xtcrbtu8ZrBU+OsqQw3NXKKxWtCx40zOzWuu7vb4j2IiIiIiMg5FJvhuXTJ+SWguWkoEREREZF3UWzAc7r0lMVrFi2c74aWCFmqQEdERERERM6jyIDnQN5hixXX1BGRgtLV7iomYKkCHREREREROY/iAp7yikrsys6yeF3y0kcFx/U3LK/5ISIiIiIi76KogKf2Sh02vvSSxesCVEFY9miyG1pERERERESepJiAp7yiEmueeQYdbXcsXvvyHzezAAERERER0RCgiICnsKgYq5543KpgJznlMSxPWeqGVhERERERkad5fcBzIO8w0jdvsupaTWwc/vM/t7q4RUREREREJBey3HjUWv+dvR35eQesujZAFYQdO3dwKhsRERER0RDitRkeW4OdA4cOCcpQExERERGR8nldhqezqwvPrX3e6v1sNLFxeHf/O8zsEBERERENQV6X4fH2YEcTG+fpJhARERERDRleFfD8d/Z2q4Od5JTHbAp2QkLGOtI0q42UUfBFRERERKR0XjOlbe++XKvX7KSmrcF/ZWyz6f73jBljT7OIiIiIiEjGvCLgKSwqxjv79lp17fPrN2DD+nUubpFp3V1dHntvIiIiIiISkn3A09Ssw+uv7rbq2pzde1y6qWhnV5fFKXKWptxFa2Kc2SQiIiIiIjJD9mt4duzYiY62OxavczTYmTJlssVrrtZdt/v+RERERETkfrIOeAqLivHFyRMWr3t+/QaHMztjQxxfw9PUrLN4jTWBFREREREROYesp7TlH37f4jWa2DinrNkJGz8OAaogs9mk69dvYHbcLJPfv6lvtfg+UoHVgbzDZl+zJm2VxfsSEREREZGYbAOewqJiNFyrs3jd1m22VWMzZ3pUlNmM0net5gOa69dvmP2+OiISYePHic7vys4y+zoGPERERERE9pHtlLbqKq3Fa5JTHsO0+yKd9p6WCgpUWihIcOZ0mdnvz+Kmo0REREREbjWsr6+vz9ONMNbZ1YXo+6dbvE4dEYnQceKMiS3+vP8dw9dNzTosfPBBs9cf/uhjyWlt5RWVWPXE42Zf+9fPPpcM0CaG3Wv2dV83fWv2+0REREREJE2WU9oqLly06rqGa3VWTXuzVtj4cdDExpktLb3xpZfw2htvCIKe2it12PjSS2bvrYmNc2o2ioiIiIiILJNlwHPjRr3H3vuFdeuwykzA09F2B6ueeBya2DiMHDUK3V1dFvfeAYCnVq50ZjOJiIiIiMgKsgx46m94br+b2XGzsCAh0WI5bGuCnAHJKY8hKSHe0aYREREREZGNZFm0oLury6Pvv2vXDmicVGBAExuH//zPrU65FxERERER2UaWAY8t2RNX8B81Clu3bXM46FmQkIh3978D/1GjnNQyIiIiIiKyhSwDHjmYdl8k3t3/DrZkZCJAFWTTa9URkcjZvQd/ZrBDRERERORRsixLLUeFRcVobW1F/Y3raNHpBNXhBspjT5o8BZMnT+J6HSIiIiIimWDAQ0REREREisUpbUREREREpFgMeIiIiIiISLEY8BARERERkWIx4CEiIiIiIsViwENERERERIrFgIeIiIiIiBSLAQ8RERERESkWAx4iIiIiIlIsBjxERERERKRYDHiIiIiIiEixGPAQEREREZFiMeAhIiIiIiLFYsBDRERERESKxYCHiIiIiIgUiwEPEREREREpFgMeIiIiIiJSrH/3dAOIyDplNW2IL6j1dDOIiIi8zqXfR0Ezyd/TzSAPYYaHyEtknv7W000gIiLyOrHBfgx2hjgGPEReoKymDRduf+/pZhAREXmdrIX3eroJ5GEMeIi8wIeXWj3dBCIiIq8TG+yHRTNUnm4GeRgDHiKZa9T3IL+x3dPNICIi8jpp00d7ugkkAyxaQCRzOZ99bfNrEkP98cayyQgPudsFLSIiInK9Rn0PckubkFvfBvT+bPsNRgxHWvw45zeMvM6wvr6+Pk83goikNep7oN5bKTq/84EwHP+6w/y6Hl8f7IkNxcYlE1zYQiIiIufKK9Uh7/Ith9euHlwczoCHADDgIZK1jMIG5GhbhCdHDEdf9hwAwNHyVqR83mB25Cs22A9vLFGzQg0REcmWXdkcXx+sm9S/Pif36i3h9wb1lUQMeIhkqqO7F4HbvxR98BuPWHV092LDR9csrvNJ14RifdK9CBjp65L2EhER2cqebE5ssB/Spo9GWvw4k31luiYU2cvVzm4ueSkGPEQyJZnd8fVB387/kLy+rKYN8cduAD/8ZPqmI4ajNHkyK9YQEZHHOJLNWRcfJlifmleqw+pTjaJr27c9wAE+MmDRAiKZyrksLkWdPn2MyesXzVChb4ZKOlAa8MNPiC+oReqlQOx9IoKdARERuY2j2Rwpq883i86lTx/D/o0EmOEhkiFHR6y09Z146XiDxaIGB+f/mgs6iYjIZZyZzTEm2VcCaM+cy4CHBBjwEMnQsIzzoqlp9sxHfu34N9h0ocViUYMjKyJZwpqIiJyio7sXn1Z+h6yLN9HS+aPVr7OUzTEm1VemhgfiyNr7bWovKR8DHiKZMTVi1bBhll1BSUd3L546VIsTLZ1mr+MCTyIicoS2vhNvnW1GftM/nZ7NMVZW04b4glrReXv7SlI2BjxEMjMuu0I0IuaMEauj5a1IOfWN2aIGof53Ie834SxqQEREVrE3m5MY6o+lESq7p1XH7b4kmrbN7A6ZwqIFRDJSVtMm2WGkPzzR4Xsvmz0G7dNUyCpuEO9X8IuWzh8RX1CLdV+NRuZSNedAExGRJLuyOSOGIz0yGKlzQhzKwpTVtEmuUX0yxnRhHxramOEhkhF3jVhp6zuxtOia+dE4Xx8UPaTGstnsQMzp7OrCE4+vQMO1OsO5r5u+9WCLiIhcw5FsztPR9zitP0naVy2aph0b7IeKzTFOuT8pDzM8RDLhzhErzSR/6DLizBc16P0ZKceuI7HqO7yxbDLnRJtw9C/HBMEOEZHSeDKbY6xR3yO5JjVr4b1Oew9SHmZ4iGRi5f6vkN/YLjjnjhGrRn0PVhbUWSxhvSc2FBuXTHBpW7xNU7MOCx98UHSeGR4i8nZyyeYYk+orQ/3vgi4jziXvR8rADA+RDDTqe0Qf4IB7RqzCQ+5GxeaY/qIGnzeYzPZsOteEN2pvozglAppJ/i5vlzfYsWOnp5tgs8KiYlRXaXHu7Fl0tN1BgCoIc+fNQ1S0BstTlnq6eUTkYXLK5hgz1VdmzhzrsvckZWCGh0gG5DJi1dHda7aowYB0TSjWJ907pIsalJwsxYtrn5X8nhwzPLVX6rBj+3ZoL1SYvEYTG4cdO3cgbDw3oyUaSjq6e3H4rA6bqlrNVvI05upsjrEX368T908jhqMve45b3p+8FwMeIg9r1PdAvbdSdP7g4nC7y3U6qqymDfHHbpjv+EYMR2ny5CFbwjop6SGTa3fkFvDUXqnDmmeeQUfbHYvXBqiCcODQIUy7L9INLSMiTyqracOHl1olsyYmuSmbY6yjuxeB278UZZ082VeS9+CUNiIPyz+vF58cMdyjH+CLZqjQN0OFjMIG5GhbpC/64SfEF9Qi8Zw/Pnhm2pDK9hzIO2wIdtQRkbIvWrBj+3ZDsBOgCsLqtc9h0cL5CBs/Dk3NOpSdPoNd2VkAgI62O9ixfTs+/rjAk00mIhexN5uTGh6Ih6aqPFa5c1/Jt+Ipdr4+DHbIKszwEHmQN4xYWVvU4OD8X8umza7U1KzDY48uMwQQb+7/s2hqm5wyPIVFxUjfvAmA+exN7ZU6/O7hhwzHObv3cE0PkYLYm83ZEz0Gq+aN8+iglqm+Ml0Tiuzlag+1irzJv3m6AURDmTeMWA0UNdgzNwzw9ZG+qPdnrD7ViLjdl9Co73Fr+9zt7bffMQQ7CxISkZQQ7+EWmVddpTV8vXrtcyanqk27LxJbMjIlX0dE3qmjuxevHf8GwzLOI76g1upgJzU8EKUrpqEvew42Lpng8Qz+p5XfSfaV65NYipqswwwPkQcNe+V/vGrEqqO7F08dqpXcA2EwOf8dHFFeUYlVTzxuOD79978jbPw4TAwTdrpyyvDM1Mw0BGgD7TVlcJntAFUQLmovuqWNRORc3pzNkTIs47xo+p1S+xlyDa7hIfKQvFKd141YBYz0Rcn6KItFDXK0LTjS2I6834QrqqjB9pwcw9dbMjK9oprZ4EIFlto7+PvWFDggIvlwZG3OkzFjZPtZnVeqk/z7pM4J8UBryFsx4CHykNXnm0Xn1k1SyW5kTcqiGSq0T/Q3W8K6pfNHxBfUYt1Xo5G5VO0Vfy9zjAsVLHs02Sn3tTc71NnVhcUL4w2BiToiEiUln4uuC1AFGa5patZZzPAMfh0Ryd/R8lZ8frVNMdkcY1J9ZWp4oFsrxJH34xoeIg8wNWK1Lj7M/Y2xU8BIX7z5dCQu/T4Kof53mbwu9+otBG7/EkfLW93YOudqatbh4P53Dcd/ePFF+I8a5ZR7qyPsK/989C/HBFmY1FVPS143d948w9dlp8+Yvefg7w9+HRHJS6O+BxmFDRiWcR4px6577docS8pq2iT7yvSHJ3qgNeTNGPAQeUDWxZuic946YqWZ5A9dRpzFogYpx64jaV+1VxY1yM//0GWFCkLHCTMu5RXiPZmkHCv+i+HrAFWQyYpqUdEaw9cH97+L2ivSJbRrr9QJgrrBryMieTha3oqkfdVQ763s3zLAmqlrI4Zjz9wwtGfOxZG198t26pqUzNPijLe39pXkWQx4iNysrKYNLZ0/is57+4jVxiUT0LBOg9hgP5PXnGjphDpXi9eOf+PGljmmvKIS+XkHDMdbt77i1PuPHDnS5tcUFhUL9v5ZvfY5k9cuT1lqyCJ1tN3BmmeewYG8w4bpa03NOhzIOyzYmFQTG8eS1EQyYZzNsVQ0BgDg64PU8EBc+n2U12RzjJXVtEluh/BkjGf2ASLvxjU8RG4mNWKVGOqviBGrgRLWR8tbkfJ5g7goAwD0/oxN55rwRu1tFKdEQDPJ3+3ttMXbubmGr11RqEA9abLguLu72+Jrzp75wvB1gCrI4nqinbt2GQKajrY72JWdZdho1FiAKghbt22zouVE5EpHy1vxftV31gU4vwj1vwuZM8fikVn3eF2AY+z1czrRudhgP6/KUJF8MMND5EamRqxeniv/al+2WDZ7DNq3PYB1U0ebvKal80fEvFeNjMIGdHT3urF11juQdxjaCxUAnFuowBy93vxap/KKSnxx8oTh+LEVT1pcTzTtvkgcOHTI4nohTWycyY1Jicj1HM3m6DLikBYv/0IEljTqeyT/7lkL5VvFlOSNGR4iN/rwkvhhVqkjVgNFDR6uCbJYwjqn7jZKkyfL6ufQ2dXlskIFg02ZMtnyRYOc+UJYeOB3yUuset20+/qruBUWFaO6SotzZ8+io+0OAlRBmDtvHqKiNZzGRuQhQz2bYyzns69F50L975JVH0HehQEPkZs06nskK+kofcRq0QwV+maokFHY0L/IVsoPPyG+oBaJ5/zxwTPTZNF5v/nm2y4rVGDOd62mMzxNzTrBeqLUtDU2T7FbnrKUgQ2RDDTqe5B/Xo+cutvW75vj64PUsF/hD/PGy346sL1M9ZWZM8d6oDWkFAx4iNxEasQKI4YPmRGr7OVqpM4JwcqCOslpfUB/UYPA7V/i4PxfIy3ec9P8XF2oYLDZcbMEx3q9uILfgL8eOy44Tk190iVtIiLXySvVofhaG7M5JuSf14tPjhju0T6BvB8DHiI3MDVidXDOeA+0xnMGihq8dvwbbLrQYrKowepTjci7fAtHVkR6pJjDB/n5hq9dUajAHp1dXfik4EPDcXLKY7JoFxFZ1qjvQW5pE3Lr26Q/96QMgWyOsY7uXuRcFme5h1pfSc7HgIfIDThiJbRxyQSsmjcOTx2qNTnKeeH291DvrUS6JhTZy9Vua1thUbGhKIC7ChVoYuMMxREuV1dLXnPy1GnBRqNLHnnE5e0iIsfkleqQd/mWyay2lKGUzTG2r+RbcUDo6zNk+0pyHgY8RC7GEStpASN9UbI+CmU1bRaLGhxpbEfeb8JdPv2vs6sLr7+623DsqkIFxkYOeo/BQc1g+YffN3y9ICFRNBWOiOTB3mzOukkqrIsPU8QWBfaS6ivTp3PfHXIcAx4iFzM1YvXIrHs80yCZWTRDhfaJ/sgqbkDu1VuS17R0/oj4glqs+2o0MpeqXTbqeej9fI8UKpg0eYqg1LSxkpOlgo1Gn0pNdUeziMgG9mRzYoP9kDZ9NDMY6P/5SfWV65OUXdiH3IMBD5GLmRqxGmpTFcwZKGH9VH0IlhZdQ0vnj5LX5V69hdz6NhQ9pMay2c4f9Xtn317D191dXXh27fN23Wfw61544QWL+9r4+fkJjssrKgUZnOOffmr4Wh0RyewOkUwwm+M8q883i86xryRnYcBD5EIcsbKNZpI/dBlxFosapBy7jsSq7/DGsskue2AYWFNjj8HZGmuyMcYBz2C1V+oE90td9bTd7SIi52A2x7nySnWS05pT54R4oDWkRAx4iFxIasRq3SQVR6ws2LhkAn4bPdpiCesTuVrsiQ3FxiUT3NxC5xo7Vtipd3d3G77+9NN/laJWR0RyDx0iD2E2x3WyLorL8aeGB/JnRk7DgIfIRUyNWK2LD3N/Y7zQQAnro+WtSPm8wWS2Z9O5JrxRexvFKRFeW7p1pFGGR6/vnwbZ2dUl3GiU2R0it+ro7sWnld8h6+JNk1NtpTCbY72ymjbJn236wxM90BpSKgY8RC6Sd1m8AJ8jVrZbNnsM2qepLBY1iHmvGumaUKxPutfuDNrXTd/a9bqJYcIpirbex9Qan6N/OWb4OkAVhITFC21vHBHZTFvfibfONiO/6Z/M5rhY5mnx5yX7SnI2BjxELlBW0yY5FYsjVvYZKGrwcE2QxRLWOXW3UZo82eUlrJ0tQBVkqBD3XWt/hufg/ncN31+99jm3lMgmGqrszeYkhvrj6eh7XFJIRelM9ZVPxvBnSc7FgIfIBaRGrBJD/Tli5aBFM1Tom6FCRmEDcrQt0hf98BPiC2qReM4fHzwzzWvWS02PijIUJ9Drb6KwqNgQAAWogtyyASrRUGRXNmfEcKRHBiN1Tgg/1x3w4SVxFdPYYD+vG7Ai+WPAQ+Rk2vpOyRGrl+dyLrezZC9XI3VOiMWiBoHbv8TB+b/2ynn0gzcaZXaHyLmYzfG8Rn0P8hvbReezFrKKKTkfAx4iJ3vrrLgyG0esnG+gqIGlEtarTzUi7/ItHFkRKeuR2GhNjCHDY7wJ6aKF8z3RJCLFYTZHPnI++1p0LtT/LvaV5BIMeIiciCNW7rdxyQSsmjcOTx2qxYmWTslrLtz+Huq9lUjXhCJ7udq9DXRQatoahI33vgwVkVwwmyM/pvrKzJljPdAaGgoY8BA5kdSIFUYM54iViwWM9EXJ+iiU1bRZLGpwpLEdeb8Jl92/yZQpkyXPp6Y+6eaWEClDWU0bPrzUymyODOWf14tPjhjuldOPyTsw4CFyko7uXskRq4NzxnugNUPTohkqtE/0t1jCOr6gFuu+Go3MpWpZFzVgdofINh3dvTh8VodNVa0mBz6kMJvjPh3dvci5LC5WwL6SXIkBD5GT7CuR2HuFI1ZuN1DC+qn6ECwtumZyCkvu1VvIrW9D0UNqWTzkTI2cIjrH7A6RdQzZHIlBJ5OYzfGIfSXfijNuvj7sK8mlGPAQOQFHrORHM8kfuow4i0UNUo5dR2LVd3hj2WS7H3rs3bB0MOMqbAsSEpndITLD3mxOanggnowZI7tprUOFVF+ZPt3zg06kbAx4iJzA1IjVI7Pu8UyDyGDjkgn4bfRoiyWsT+RqsSc2FBuXTHBzC/uVV1QKjp9KTfVIO4jkzt5szp7oMVg1b5ysp7EqXV6pTrKvXJ/Ewj7kWgx4iJwgp+626Fz69DHsWGVioIT10fJWpHzeYDLbs+lcE96ovY3ilAhoJvm7tY1nvjhj+HpBQiJmx81y6/sTyRmzOcqw+rx42wb2leQODHiIHJRXqhN3wByxkqVls8egfZrKYlGDmPeqka4Jxfqke93SETc165Cfd8BwzOwOUT9mc5RDsq8EkDonxAOtoaGGAQ+Rg6RGrNZNUrGjlamBogYP1wRZLGGdU3cbpcmTXT46nJ//oeFrZndoqGM2R5myLt4UnUsND2TBCHILBjxEDjA1YrUuPsz9jSGbLJqhQt8MFTIKG5CjbZG+6IefEF9Qi8Rz/vjgmWkuCWKZ3SHqd7S8Fe9XfWdyA2FJzOZ4hbKaNsmKmekPT/RAa2goYsBD5IC8y+JpURyx8i7Zy9VInRNisahB4PYvnVLUoLOry1CRrbOrC1tf2Wr4HrM7NNQ06nuQf17fvw6S2RzFyjwtrmSZGOrPvpLcZlhfX1+fpxtB5I3KatoQX1ArOt+wYRY/xL2U2RLWv4gN9sORFZF2/xvP1MzE9KgoAMDl6mp0tN0xfO/03//OUtQ0JNiTzQn1vwsvTQtmNsfLmOorS1dMY8BKbsOAh8hOcbsviTICiaH+KFkf5aEWkTN0dPfiqUO1Fh/E0jWhyF6utunenV1diL5/uuT3tmRkYk3aKpvuR+RN7Mrm+PogNexX+MO88W6vnEjOsXL/V6KiE7HBfqjYHOOhFtFQxCltRHbQ1ndKTn96eS5H571dwEhflKyP6h+VdHJRg6t11yXPp6atYbBDimVvNidz5lg8MuseZnO8WKO+R7LCXtZCVjEl92LAQ2SHt86KK7PFBvsxPa8gi2ao0D7RH/tKvrVY1GDdV6ORuVRt8cGsu7sbAaogwzS2BQmJmDd/AZanLHV284k8itkcAoCcz74WnxwxnH0luR2ntBHZqFHfA/XeStF5zkdWLm19J5YWXZOsMmTg64Oih9RYNnuM+xpGJDPM5tAAU33lwcXhSIvnbAhyLwY8RDaSmo+MEcPRlz3HMw0it3FHUQMib8NsDkmRLPnPvpI8hAEPkQ06unsRmHVOdJ4jVkNHo74HLx29YX4E29fHKSWsieQsr1SHvMu3TJZzl8JsztDQ0d2LwO1figaH2FeSpzDgIbIBR6xowNHyVqR83mA22xPqfxeKUyI4gk2K0ajvQW5pE3Lr28z+7gswmzPkSPaVvj5o3/YAA13yCAY8RFbiiBUZ6+juRVZxA3KvijegHWzdVOuKGhDJlT3ZnNhgP6RNH81szhA07JX/EfWV9pTyJ3IWBjxEVuKIFZlSVtOGtL81mi9qMGK4TSWsiTzN3mzOukkqrIsP4zq2ISqvVIfVpxqFJ9lXkocx4CGy0rCM86IFuRyxosEkg2IjiaH++OCZaez4SbYcyeYw201SfeW6qaPx5tORHmoREQMeIqtwxIqs1ajvwcqCOvMPiyxqQDLDbA45g2RfCaBhwyz+jpBHMeAhsoLUiFVqeCCOrL3fQy0iucsr1WH1mX+whDXJGrM55EzjsitEU3vZV5IcMOAhsoAjVmSvju5ePHWo1uImjJwaSe6kre/EBxV6ZnPIqcpq2hBfUCs6z76S5IABD5EFcbsviUY/OWJFtiiraUP8sRvmN2VkUQNyoY7uXnxa+R2yLt40X1zDCLM5ZC2pvjIx1B8l66M81CKif/l3TzeASM7Katokp3qkPzzRA60hb7VohgrtE/2xr+Rb00UNfvgJ8QW1WPcVS1iT82jrO/HW2WbkN/2T2RxyGW19p2Rf+fJcBsokD8zwEJkhNWIVG+yHis0xHmoReTttfSeWFl0zP8ru64Oih9RYNnuM+xpGimFvNicx1B9PR9/D3zuy2cr9XyG/sV1wjn0lyQkDHiITtPWdiHmvWnS+dMU0Tjsih712/BtsutDCogbkNHZlc0YMR3pkMFLnhPD3jOzSqO+Bem+l6Dz7SpITBjxEJnDEilytUd+Dl47eMF/UgCWsyQxmc8jTpPpKjBiOvuw5nmkQkQQGPEQSTI1YFSVP4QMCOd3R8lakfN5gdlQ+1P8uFKdEQDPJ330NI9liNofkoKO7F4FZ50TnDy4OZ6ELkhUGPEQSOGJF7tbR3Yus4gbkXr1l9rp1U1nUYKhiNofkJqOwQVyIhX0lyRADHiIjHLEiTyqraUPa3xrNP9CyhPWQUlbThg8vtTKbQ7LS0d2LwO1fin4n2VeSHLEsNZGRfSXfik+OGM4PcHKLRTNU0M1QSY+cDvilhHXiOX988Mw0ZnsUqKO7F4fP6rCpqtX8/k1GmM0hd9lX8q04APf1wSOz7vFMg4jMYIaHaBBTI1Z75oZx0Ti5XaO+BysL6iT3tzBgUQNFMWRzjKfUmsNsDnnAsIzzomA8XROK7OVqD7WIyDQGPESDSI6q+/qgfdsDHEUnj8kr1WH1mX+whLVC2ZvNSQ0PxJMxYzi1kdwur1SH1acahSfZV5KMMeAhGoQjViRXHd29eOpQrfkS1uDvqzexN5uzJ3oMVs0bxwdL8hipvnLd1NF48+lID7WIyDwGPES/4IgVeYOymjbEH7thPhPAogayxWwOeTvJvhJAw4ZZzDCTbLFoAdEvVp9vFp1LDfsVgx2SlUUzVGif6I99Jd9aLGqw7iuWsJYLZnNIKfIui0vnp4YHMtghWZN1hqe8ohJnvjgDvf4mvjh5wnBeHRGJyKlTERWtQcLihfAfNcqDraTBCouKUV2lxbmzZ9HRdgeA8N9recpSD7dQ2tHyVqQcuy46zxErkjNtfSeWFl0zX8La1wdFD6lZtcsDmM0hpSmraUN8Qa3ovDv7ys6uLjzx+Ao0XKsznPu6SaK6KtEgsgx4aq/UYcf27dBeqLB4bYAqCJnZ2UhKiHdDy8iU2it1eGXLFsEHkBR1RCS2padjdtwsN7XMOnG7L4kqYaWGB+LI2vs91CIi6712/BtsutDCogYycbS8Fe9XfWdxvZUAsznkBaT6ysRQf5Ssj3JbGw7kHcau7CzBOQY87ldeUYlVTzxu9+sXJCTiz/vfcWKLzPs3t72TlQqLivG7hx+yKtgBgI62O3hx7bMoLCp2ccvIlIF/M0vBDgA0XKvDqicel9W/V1lNm2TZ3/SHJ3qgNUS227hkAhrWaZAY6m/ymgu3v4c6V4vXjn/jvoYNIY36HmQUNmBYxnmkHLtudbCTGh6I0hXT0Jc9BxuXTGCwQ7Klre+U7Ctfnuu+PeqamnWiYIc8o7u729NNsIms1vA0Nevw+qu7RecDVEGYHvWv0YPL1dWG6VID0jdvwsiRfsz0uFntlTrJfzN1RCRCx/V/CLbodKJg6PVXdyNiymRMu8/zFV0yT4tHhmKD/TgSTl4lPORulKyP6p+e+XmDdLan92dsOteEN2pvozglAppJ/m5vp9LYk80J9b8LL00LZjaHvMpbZ8XrXGOD/dw69XLHjp1uey8yT69v9XQTbCKrgGfHjp2iQGZLRiaWPZosWqdTWFSM11/dLbg+KyMDcbEzuabHjXZs3y74NzA1Zc3436uj7Q52bN+Ojz8ucGt7jTXqeyRHrLIW3uuB1hA5btnsMWifpkJWcQNyr4oXFwNAS+ePiHmvGuumsqiBPRr1Pcg/r0dO3W3r1+b4+iA17Ff4w7zxDDTJ6zTqeyQLbrizryw5WSpYz03ysiAh0abrJ02e4qKWSJPNGp6mZh0WPvig4NyWjEysSVtl8jW1V+rwu4cfEpzL2b1HtgvjlaawqBjpmzcZjgNUQTh1utRkwCn173X4o489up5n5f6vRB/iscF+qNgc46EWETlPWU0b0v7WaL6oAUtYW83ebE7mzLF4ZNY9DCzJa0n1lRgxHH3Zc9zWhqQk01PnuYbH/Z5d+7wgAJX7v4Fs1vCUnT4jOFZHRJoNdgBg2n2RSE1bIzh39swXzm4amZB/+H3B8eq1z5nNrk27LxJbMjIF545/+qkrmmYVUyNWL8eN9UBriJxv0QwVdBlxSNeEmr7olxLWSfuq0dHd677GeQm71ub4+iA1PBCXfh8FXUYc0uI5dY28V0d3r2RfeXDOeLe14UDeYUOwo47w/FR4EtLExnm6CRbJJuCp0l4SHCcvfdSq10VrogXHTHe6R+2VOsFIS4AqCMseTbb4OuNrjhV94vS2WSvns6/FJ0cMZ/leUpzs5Wo0bJiF2GA/k9ecaOlE4PYvWdTgF0fLW5G0rxrqvZX9+x1ZMXUt1P8uHFwcjvZtD+DI2vs5dY0UYV+JxMj9iOFIi3dPsYKmZh0O7n/XcPyHF190y/uSeYOft0d6wVIS2QQ8LTqd4HjKlMlWvS4udqboXFOzTuJK73Yg7zBmamZipmYmSk6Wero5uHhJKzieO2+eVWun/EeNQnLKY4Jz5RWVTm2bNTq6e5Hf9E/ReXeOWBG5U3jI3ajYHIODi8MBXx/pi34pahC3+xIa9T3ubaAMMJtDJNTR3Yucy+LF6e7sK99++x3D+t8FCYksTiVD0Rr5LwOQTcBjPC9zaqR1i5mkHrJvelnlCEsGyjB2tN1BR9sdvPXmm55uEhrqbwiO1ZOsC1Clrr1+/YaJK11nX8m34ipWbhyxIvKUtPhxaN/2gOUS1nsrkVHY4L6GeVBeqQ5xuy8xm0NkRLKv9PXBI7Puccv7l1dUCmaCbN36ilvel8yrvWJ5GxK5kVWVtsFYae1fjAM4a/a7cTXj+ushIdZPAzPO3n3/vbhKmiuZGrHaE82pbDQ0BIz0Rcn6qP5d04/dMPmAn6NtQU7dbUUWNWjU9yC3tAm59W1mN2wVYKU1GmJy6m6LzqVPH+O2LOb2nBzD11syMhE2noOSctBt9Nxm7awsT5JNhsed9u7LxcSwew1/ZmpmorOry+LrHn98heB1B/IOu76xMnW5ulpwPHLkSLvvVX/juqPNscnhszrJEatV8/hBSkPLohkqtP9xllVFDV58v04RRQ0GZ3Nyr96yKtiJDfbDwcXh6Nv5H8zm0JCRV6oTD4b4+mB9kntKURsXKrBmnbAlfP5zjps39YJja2dleZJsMjzG1busJbVex9IP/nfJS/DOvr2G4462Ozh56rTZctZ79+VCe6HCcLwgIdFiFTklM94vyZtsqhJnd9w5YkUkJwEjfZG9XI3f/q8gLC26ZrKEde7VW8itb0PRQ2qvK+xhbzZn3SQV1sWHcRNiGpJWnxdvNJoa9iu39JVShQqcMfOHz3/OYTwzxxtmZckm4LH3l6fyonDxfIAqyOIPPmz8OCxISBRUmKiu0pr8hS+vqBT8BwlQBWHXrh12tZfEuq0YXXEWT49YEcmVZpI/dBlxeO34N9h0oUU6MOj9GSnHriO24iaOrIiUfSCQV6pD3uVbkpsLmxIb7Ie06aO5no+GNMm+EkD6wxPd8v75+R+6pFABn/+cY3DAM7DhaGdXF06eOo2zZ77A5epqdLTdQYAqCNOjohCticGihfM9OiXR66e0VVcJA57f/HaJVa+bN3+B4PhY0SeSac3Ori7BHFIAyMzO9opo1p2M1/TYYvDIiat5csSKyBtsXDIBDes0losa5GplWcK6Ud+DF9+vw7BX/gerTzVaF+z4+mDd1NFo2DALFZtjGOzQkJd3+ZboXGp4oFsGOcorKpGfd8Bw7OxCBXz+c9zgpQghIWNRe6UOTzy+AumbN+GLkycMwWpH2x18cfIEdmVnYeGDD2LvvlyrphC6glcHPMbVOwDxvjymJCxeiABVkODcyVOnRdf96U87BEUCnl+/gSUR8a+IfoDehsp4jgRHjjha3urRESsibxEecjdK1kehKHmKxRLW47IroK3vdGv7pDi6NufNp+WfsSJyh7KaNsmBAnf1lW/n5hq+dkWhAj7/Odf333djzTPPWFVQ6519e/Hc2uc9EvR4bcAjFXmrIyKt/mX0HzVKlA06fuyvguPComJBQKWJjcOG9evsbLGyhISMFRwbl6k258aNemc3xyqvV9wUnXPXiBWRN1o2ewzatz2AdVNHm7ympfNHxLxX7ZGiBtr6Tqzc/xWzOUROlHlavNFobLCfW/rKA3mHDbM+nFWowBif/xw3eErgsaJPBOu6FyQkGv5I0V6owJ/+5P5pgbJZw2OLzq4uPLf2eVE0uS093ab7zF8wX5A21V6oQFOzDmHjx6GpWYfXX91t+F6AKgg7dnLe5oB7xggXLZ87exadXV1WpXpPl55yVbNM8vSIFZG3ChjpizefjsTDNUFI+1uj+aIG//jfKFo8waVFDTq6e/Fp5XfIunjTZFukcG0OkWXa+k7JvjJroevXuXZ2dbmkUIEUPv8535aMTCx7NFn0b1ZYVIzXX90tCIqOFX2CefPnuzVj5nUZnoFgx3jdx5aMTMyOm2XTvWbHzYI6IlJwruz0GQDAjh07Bf84mdnZrP8+yKKF8wXHHW13cPQvxyy+bnCZSXfy5IgVkRIsmqGCLiPOYgnrlGPXkbSv2unZnoFsTuD2L7H6lOnAS2DEcGZziGzw1lnxOtfYYD+37MP15ptvu6RQgRQ+/9lPatPRwx99jDVpqyQD1OUpS3Hg0CHRNMIPjhxxWRuleFXAYyrYSU1bY3eVt+SljwqOz5wuw4G8w4J0XWraGs7bNBI2fhySUx4TnNuVnWV2993aK3WC0Rt3adT3eGzEikhpsper0bBhFmKD/Uxec6KlE4Hbv3S4qEFHdy/ySnUYl12BmPeqkd/YbtXanMRQfxQlT0Ff9hyuzSGyUqO+p///mJGX48ZKXO1cri5UIIXPf/Yx3nQ0NW2NxYTDtPsi8fIfNwvODWTV3GVYX19fn9vezQHmgp3/ythm932bmnVY+OCDJr+viY3Du/vf8WhVjvKKSqx64nHBua+bxBkLd5NqF9CfbRtcfrCpWYey02ewKzsLQH96+NcTJwr+LV3591m5/yvRh3hssB8qNse47D2JhoK8Uh1Wn/mH2SAkNtgPbyxR27RZp7a+E2+dbUZ+0z+t3zdnxHCkRwYjdU4IAxwiO0j1lRgxHH3Zc1z+3s+ufd4QaGzJyLQ4iD0xTDhgac8zhDc8/ynNTM1MQfbMmn9rZ/GKDI+rgh1AOlMxIEAVhK3btvGX3YTZcbPw/PoNovMD5QcHdiRe+OCDhmAHAFavfQ4j3fQz9eSIFZHSpcWPQ/u2B5AaHmjymgu3v0fMe9XIKGwwey9nZHOyl6sZ7BDZoaO7V7KvPDhnvMvfu7Co2BDsuKpQgRQ+/7mfcbEIWwpeOUr2RQtcGewMmDd/vqi8NQC8/MfNmHZfpMQr7NfZ1YWrddctXzjI9eviX4jyikqb39vWNU7W2LB+Hf7P998LUtHmDEw/rNJeMpzTxMY5vV0Dcj77WnxyxHCv2ymeSK4CRvriyNr78WRNG+KP3ZAs/Q4AOdoW5NTdRmnyZMF6AGZziDxvX4lEhmTEcJeve+vs6hIUCHBloQIp7nz+q71SJ5oO5g4j/fyc/nexl3HBK3duUyLrgMcdwQ4AJCXE40WjcwsSEk3uvGuvkpOleHHts065l9RUMksCVEH45C9Hnb747r8ytiFaE4233nzTZEGCAFUQVq99zpC6HDxH1lXZno7u3v6HKCPuGLEiGmoWzVChfaI/9pV8ixxti/RFP/yE+IJapFwIwAPj/bHn/2m1qdJaYqg/no6+hwMWRE7U0d2LnMvivfT2RLv+/9mh9/PdVqhAirue//47e7vVA8OusCAhEX/e/47H3n/AlCmTBceDnwVdTbYBj7lqbM6e73cg77DoXIvO+Qupjn/6qdPvaYuOtjsoO33GJfMlkxLikZQQj5KTpdDrWw0ZnJCQsVBPmoSExQvdnhreV/KteMTYDSNWRENVwEhfZC9X47f/KwgvHW8wuS9O0T86UPSPDutuymwOkUtJ9pW+Plg1z/V95Tv79hq+7u7qwrNrn7frPoNf98ILL1id0XDH819Ts86jwQ7QH1jUXqmTTabHE2QZ8JgKdnJ273F61F1eUSlYXzKg4VodSk6WOnW0YeTIkU67l1wN/LzMBVXGO+wab2LqDKZGrNIjg53+XkQkpJnkj4rNMXjt+DfYVKED/t//z+Z7MJtD5B45dbdF59Knj0HASF+3tsP4mc8WgzMFT6WmWvUadz3/+ftzHZAcyLJowZYtW90S7HR2dWF7To7J71dpq5z6fk899ZRL16tYkpzymNsWA5pjvIbJeE6nMxw+q5McsVqfxFLURO5QVtOG2u/+j23Bzojh2DM3DA0bZqFkfRSDHSIXyyvVidfdDYG+0p3Pf/6jRiFn9x7RPjTuEqAKwpaMTFlmd9z5M5FdhmfvvlzRnD5XBDsA8Kc/7RCsOUlOeUyweC0/7wBefPEFp03FmnZfJD7+uMDm18m1LLW9jIswhIQ4/6FmU5VEdscDI1ZEQ0lHdy8On9X1//8zUbzAnNDhPpg7OYBT14jcZPV58UajqWG/Unxf6e7nv+UpS13yHOsJxtMAB29DYsnNm3rB8fSoKGc1yyJZBTzlFZWC+ZyA64KdA3mHBb/cySmP4dXdO3Hu7FlBjfCjfznmthrhQ8V3rcJgJMJoEZujJEesAMWPWBF5SllNGz681CpZ1tYWLZ0/Iua9aqybOhqZS9WKf+gi8iRTfWX6wxPd1gZ7B28d2YeHz3+OMZ4GOGXKZKsDnu+NqtS5c6mHrKa0GS/q35KR6ZJgp/ZKHQ7uf9dwHKAKwn/+51YAwGMrnhRce+Z0mdPfXymeXfu84E/tFekKbcYqB01XDFAFOb1qnOSIVXggH56InKijuxevHf8GwzLOI76g1upgJzU8EHvmhiHU/y6T1+RevYXAVytxtFycqSUi58i7fEt0LjU8UNEZVj7/edbgLUkAQD3JuQPe5sgm4Ons6hJE3OqISJdE1p1dXdixfbsgis/MzjakLRcumC+4XnuhwuoH+aGmu6sLX5w8YfhjTX358opKQRrZeBMqRx0tl55K484RKyIlK6tpw8r9XyEw6xw2nWuyburaL2tz2jPn4sja+7FxyQToMuKQrgkFfH2kX/PDT0g5dh1J+6rR0d3r1L8D0VBXVtMmWUVRyX0ln/+cw3gtutRekVKamnWiJSvGZapdSTYBT8WFi4Lj5KWPuuR9Dr2fLyiIkJzymKASx7T7IqGOEC7sOv3FGZe0xduNDQ0VHF+6pLX4mg/y8wXH0Zpop7bp9YqbonNKH7EicrVGfY/d2ZzSFdPQlz0HG5dMEGVZs5er0bBOg9hgP5P3ONHSicDtX+K149849Hcgon/JPC2eAhYb7KfovpLPf84xxehnZG0mrOy08GcZoArC7LhZTmuXJbIJePR64dQFVyxkLzlZKlgjpI6INKQyBzMOtj4p+NDpbVEC41Tk6dJTopLTgxUWFQuie3VEpFPLfpsasfrDPG40SmSPo+WtSNpXDfXeSruzOYtmqMxeHh5yNyo2x+Dg4nDT2Z7en7HpXBPidl+Ctr7T5r8HEf1Lo75Hsq/MWqjcda58/nMe44Fq7YUKyf2MBpMqAb567XPObppZw/r6+vrc+o4mPLv2ecHDsCY2DiPtrI4xb/4C0dqfpmYdHnt0mSCVefijjyWjy6ZmHRY++KDg3Jv7/+z2HYAHyLVKW2dXFxYvjBf8TDWxcdixc4doXc6BvMOiX3Zn/0zjdl8SfYjHBvuhYnOM096DSOka9T3IP6/v35vDhkprqeGBeDJmjMUAx5yO7l5s+OiaxQxSuiYU2cvVdr8P0VC2cv9Xov9j3tZX2lK0wJuf/+QqKekhwfIEoH/d/bJHk0WV7Q7kHcbB/e8Kfv4BqiCcOl3q1g3pZVWlbTBHNqCK1oj/0+7YsVPww35+/QaTqbSw8eOwICFREICdPXOGv/BG/EeNwuq1zwkCGe2FCix88EFBwHq5ulrwswfEqWRHDcURKyJnOlreivervsOJlk6rXxPqfxcyZ47FI7PucUpRkICRvjiy9n48WdOG+GM3TAZcOdoW5NTdRmnyZIcCLKKhplHfIzmg8HKc8zcAlws+/znftvR00UD8ruws7MrOwoKERMM5qec/QLh2yl1kM6XNeCGTMx3IOyyaSvXM0+Z34p03f4Hg+FjRJ2hq1rmkfd5sTdoqJKc8JjqvvVBhKGZg/MuuiY2TTCU7Iuezr0XnYoP9+DBEZEajvgcZhQ0YlnEeKceuWxfs+PogNTwQl34fBV1GHNLixzm9AuKiGSq0/3FWf1EDU374CfEFtVi5/ysWNSCyklRfiRHDFbvJL5//XGN23Czk7N4j+b3Bxaykgp2c3Xs8EkDKJuBxldordaKpVNvS0y1GlgmLF4rOGS+4on6v7t6J59dvsOra59dvwLv733FqZG9qxCpt+minvQeRkgxem5OjbbFq6lqo/104uDgc7dsewJG190Mzyd+lbQwY6Yvs5Wpc+n2U2aIG+Y3tCNz+JUtYE1nQ0d2L/KZ/is4fnKPMda58/nOt5SlLcfijj0WFHkwJUAXhzf1/9tgGrLJZw0OmyXUNj7GmZh3+euw4tBcrBVMSNbFx0Mychd8lL3H6njuA9HxkjBiOvuw5Tn8vIm9l19ocXx+khv0Kf5g33uUBjiWvHf8Gmy60AL0/m7wmNtgPR1ZEKrrSFJG9Mgob+gc4BmNfSU5QcrIUVdoq6PU3RRm1yKlTERWtQcLihW6fxjYYAx4v4C0Bjyd0dPcicPuXooegg4vDkRbv/OCKyNvIYW2OszTqe/DS0Rvm/y6+PkifPoZFDYgGMdVX7pkbho1LJnioVUTuI9uiBfQvY41KdFubPhwK9pV8Kx7xHTGcwQ4NaY36HuSWNiH3H//bK7M5poSH3I2S9VE4Wt6KlFPfSP/den9GjrYFRxrbUZwSIdu/C5E7HT6rE/eVvj5YNY99JQ0NDHi8QNj4cdiSkYld2VkIUAUhddXTnm6SLHR09yLnsnjefnpksAdaQ+R5eaU65F2+JVmx0BS5ZnPMWTZ7DNqnqZBV3IDcq7ckr2np/BEx71Vj3dTRyFyq9pq/G5ErbKqS6Cunj+H/CxoyOKWNvFZeqQ6rTzUKT/r6oH3bA/wQpyHDkM2pbzO7vkXAC7I51iqraUPa3xrR0vmj6YtGDEfR4gmKrURFZA77SiIGPOTFhmWcF01p4YaENFTYk82JDfZD2vTRipzymVHY0J/xNRP0JYb644NnpvEhj4YUqb4yNTwQR9be76EWEbkfAx7ySpIjVgDaM+fyYYYUy95szrpJKqyLD1N89bJGfQ9WFtSZDwJ9fbAnNpQLtWlIOFreipRj10XnGzbMUvznAdFgDHjIK3HEioYSZnNsk1eqw+oz/7BYwvqNJWqvn9JHZE7c7kuizw32lTQUMeAhr1NW04b4glrReY5YkZIwm+OYju5ebPjomuSmxINxGiwpFftKon9hwENehyNWpGTM5jhXWU0b4o/dMF+ee8RwlCZPxqIZKvc1jMjFpPrK2GA/VGyO8VCLiDyHZanJq5TVtEk+CP5h3ngPtIbIObT1nXjrbDPym/7JbI6TLZqhQvtEf+wr+Va8y/yAH35CfEEtUi8FYu8TEVwHSF6vUd8j2VdmLbzXA60h8jxmeMirJO2rFu2yzhEr8kYd3b34tPI7ZF28ab6kshFmc+ynre/ES8cbLBY1KHpIzRLW5NVW7v9KNJ2TfSUNZQx4yGs06nug3lspOl+6Yppip6IUFhWjukqLc2fPoqPtDgJUQZg7bx6iojVYnrLU080jO9iVzRkxHOt+/X8xm+Mkrx3/BpsutFgsanBkRSR/3uR1TPWVRclTGMjTkMWAh7zGUBqxqr1Shx3bt0N7ocLkNZrYOOzYuQNh4znSL3f2ZnMSQ/3xdPQ9fEhxgUZ9D146ekOUMRbw9UH69DEsakBeRaqvxIjh6Mue45kGEckAAx7yCqZGrA4uDlfc1J7aK3VY88wz6Gi7Y/HaAFUQDhw6hGn3RbqhZWQre7M56ZHBSJ0TwuyCGxwtb0XKqW/MFjUI9b8LxSkRLGFNstfR3YvA7V+KPm+U2FcS2YIBD3mFF9+vQ+7VW8KTCh2xevzxFYbMToAqCKvXPodFC+cjbPw4NDXrUHb6DHZlZxmu18TG4eOPCzzVXDLCbI736ejuRVZxg/gzxsi6qaORuVTNogYkWxmFDeLiHArtK4lswYCHZG8ojVgVFhUjffMmAOazN7VX6vC7hx8yHOfs3sM1PR7GbI73K6tpQ9rfGs0HqiOGo2jxBAamJDum+so9c8OwcckED7WKSB7+zdMNILJkX8m34gfIEcMVF+wAQHWV1vD16rXPmZyqNu2+SGzJyJR8HblPR3cv8kp1GJddgZj3qvvnzVsR7CSG+qMoeQr6sucge7mawY5MLJqhgi4jDumaUMDXR/qiH35CyrHrSNpXjY7uXvc2kMiMw2d14s8fXx+smqe8vpLIVszwkKyZGrFS6u7oMzUzDWt3Tv/972YLEjQ167DwwQcB9GeDLmovuqWN1J8J+PBSq3hhsDnM5niVRn0PVhbUWSxhvSc2lKPnJAvDMs6L1qIpta8kshU3HiVZ+7TyO8kRq/VJjm+e1tnVhSceX4GGa3WGc183fWvTPcorKnHmizPQ62/ii5MnDOfVEZGInDoVUdEaJCxeCP9Ro6y63+BCBZaqrw3+vjUFDsgxHd29OHxWh01VrWYXuBvj2hzvFB5yNyo2xyCvVIfVZ/4hnbnr/RmbzjWhuL4DbyxRs6gBeUxeqU7yc8kZfSWREjDgIVlbfb5ZdC59+hinLBo++pdjgmDHFpbKRjdcq0PDtTocK/oEr78ahMzsbCQlxFu8b4AqyBC8NDXrLGZ4Br+OXMPebM6e6DH4bfRoZnO8XFr8ODwy6x5s+Oiayd+BC7e/R8x71RxNJwN376Em1VemhgeywAbRL7iGh2TLlSNWTc06QaUzWxQWFeN3Dz9kdo+cwTra7uDFtc+isKjY4rVz580zfF12+ozZawd/f/DryHEd3b147fg3GJZxHvEFtVYHO6nhgShdMQ192XOwcckEBjsKETDSF0fW3o/SFdOAEcNNXpejbcGwjPMoq2lzY+tITmqv1OHxx1cgffMmHCv6xDCA1dF2B8eKPkH65k14/PEVggErRx0tl846pz880WnvQeTtmOEh2XLliNWOHTvtel1Tsw6vv7pbdD5AFYTpUVGG48vV1aJpZumbN2HkSD+zmZ6oaA2OFX0CADi4/13MjNGYrNJ2cP+7gteR4xzJ5qyaN46jqQq3aIYK7RP9sa/kW3Hp3wE//IT4glqkXgrE3ici+DsxhFi7h5r2QgUee3SZ0/ZQe73ipuhcanggB1yIBmHRApKlspo2xBfUis43bJjl8Id4yclSvLj2WcnvWVrD8+za5wVrdQBgS0Ymlj2aLFqnU1hUjNdf3S3o/AJUQTh1utTsmp6kpIcMU+1M7cNzcP+7hvtyHx7H2Ls2JzU8EE/GjMGiGSoXto7kSlvfiZeON1gsalD0kJrrt4YIT+yhZqqvvPT7KK4pIxqEAQ/JUtzuS6IHidTwQBxZe7/D9x4cUBgzF/AMroo2YEtGJtakrTL5GuP9cgDLe+ZYO0oImN+rh8xjNoec4bXj32DThRaz5chjg/1wZEUkR9wVzFN7qEn1lbHBfqjYHGP3PYmUiGt4SHbKatokR03/MG+8w/c+kHfYEOyoI2wLEozX1KgjIs0GO0D/fjmpaWsE586e+cLiaw4cOmSxfZrYOAY7NmrU9zhlbQ6DHRqwcckENKzTIDHU3+Q1F25/D3WuFhmFDe5rGLmVJ/ZQa9T3SPaVWQtZmY3IGAMekp3Xz4kXc8YG+zmcnm9q1gnWvfzhxRdten2V9pLgOHnpo1a9LloTLTg2nhInZdp9kSgp+Rw5u/cgOeUxQxW2AFUQklMeQ87uPfj44wIGO1Y6Wt6KpH3VUO+txKZzTdZNXRsxHHvmhqE9cy6OrL2fU9fIpPCQu1GyPgpFyVNMFzXo/Rk52haMy65gUQMFOnf2rOHrRQvnm7128PcHv85WOZ99LToXG+zHzyoiCSxaQLLSqO/BiZZO0XlnjFi9/fY7hmliCxISkZQQD1tCnhadMBCbMmWyVa+Li50pOmep5PSA5SlLXVLCdCho1Pcg/7weOXW3uTaH3GLZ7DFon6ZCVnEDcq/ekrympfNHxBfUYt1Xo5G5VM1soRmdXV04eeo0qqu0uNnSIqiMqYmNg2bmLMTEaDA7bpZd9y85WYoqbRWuX6sT3XtKRCTUkyZZ/fnr7j3UGvU9khnqtOmj7bofkdJxDQ/Jysr9X4k+xJ0xH7m8ohKrnnjccHz6739H2PhxmBgmDKTMreExvrbqq8tWbyhq/NrDH31sdydN5h0tb8X7Vd9JBs6mhPrfhcyZY/HIrHv4AEpOUVbThrS/NaKl80fTF40YjqLFE1jUQELJyVJkZWRYFRAsSEjE1q2vWDWIBPSvo3n77betyrarIyKxLT3d4uf1TM1MQ1sH+hdTBq8HDVAF4aL2olXtHkyqr8SI4ejLnmPzvYiGAk5pI9lw5YjV9pwcw9dbMjKt7hjNsTbYIddr1Pcgo7ABwzLOI+XYdeuCHV8fpIYH4tLvo6DLiENaPAsRkPMsmqGCLiMO6ZpQwNdH+qIffkLKsetI2leNRn2PexsoY/+dvR0vrn3W6uzHFydP4LFHl1m1t81AURhrgh2gfxPpVU88bnEfNXfuodbR3Yv8pn+Kzh+c4/g6VyKl4pQ2ko3c0ibxyRHDkRbvWHBiXKhg2aPJDt2P5IPZHJK77OVqpM4JwcqCOpMlrE+0dOJErhZ7YkOxcckEN7dQXg7kHUZ+3gHReXVEJELH9fcF3V1doo2fO9ruYOsrW82Wee7s6pKsgOmMfdTcuYfavpJvxVUBndBXEikZAx6ShY7uXuTWixfyOjpiJVWowN7MzODKOra2wdjUyCl23YvsXJvj64PUsF/hD/PGc28KcrvwkLtRsTkGR8tbkfJ5g3QJ696fselcE4rrO/DGEvWQ/D3t7OoSfF4D/cHIa2+8IZpS1tSsw9ZXtgoCH+2FChQWFZtcd3P0L8dE+6K9/MfNktdL7aP21ptvmgx4lqcsRf7h99FwrQ4dbXew5plnrNpDzdY1mh3dvci53Co6nx4ZbNN9iIYaruEhWcgobBDvXO7rg76d/+HQff87e7thtHBBQiL+vP8dwfdtWcNjr8H7MwD2z9ke6pjNISXo6O7Fho+uWSyJnq4Jxfqke4fU7+2BvMOCjTkB4K+ffW6yGmVnVxeeeHyFYF+15JTH8OrunZLXD15nA1heS2nrPmru2EPttePf9FeaHMzXB+3bHhhSvytEtuIaHvI4kyNW0x1byFteUSmYGrF16ysO3c9exvss/Oa3SzzSDm/UqO/Bi+/XcW0OKUbASF8cWXs/SldMM13CGkCOtgWBr1YOqRLWDfU3BMepaWvMBgT+o0YhddXTgnMD08qMlVdUCgKR1LQ1FgsRSO2jZm7fHHfsobapSrqv5GcckXmc0kYe92nld+IpHr4+WJ/kWCnqt3NzDV87q1CBrcorKkUdsPG+PCSWV6pD3uVbJtc8SGE2h7zJohkq9M1QSWe3B/zwE+ILapF6KRB7n4hQ/O913dWrgmP1pEkWXxMhsT2AVNn/69eFwZS1n8PRmmjBwNnNFhP/Vr8Y2EOtsKgY1VVanDt7Fh1tdxCgCsLcefMQFa2xe6uBvFKd5DReR/tKoqGAAQ953OrzzaJzjo5YHcg7bJjb7alCBZ1dXYLqcANtMTUHfKhr1Pcgt7Spfy2X1BoHKb4+WDdJhafiQobkmgfyftnL1fjt/wrCS8cbTAb4+Y3tyN/+JQ7O/7WiF6YPnpoGAGPHhlh8jVSW5Ka+VRTwfNcqzIyMDbF8b0C8j5pxsQRTXLGHmlRfmRoeqPhAmMgZGPCQR5kasUqdY11nJMV44asjhQocacNza58XdeDb0tPd2g5vYE82JzbYD2nTRyv64Y+GDs0kf1Rsjulfn3GhxWRRg9WnGpF3+RaOrIhEeMjd7m+oF9PrbwqOrZ1OJpftB8pq2iT7yvSHJ3qgNUTehwEPeZSpEStHOvM333zbMFd7QUKi2zMqA8GO8UjgloxMbjb6C0eyOeviw/iwR4q0cckErJo3Dk8dqjW5Xu3C7e+hztUiffoYZC9Xu7eBLqaOiBQNEtljbIjyNnLNPC0uqONoX0k0lDDgIY9xxYiVpwsVmAp2UtPWYE3aKre2RY6YzSEyL2CkL0rWR/WXsD71jXTp9d6fkaNtwZHGduT9JhyLZqjc31AXCB03ThDwXL9+w+IgUe0VcYAktV7TuEKntYy3FViQkGjXfRxRVtMm+Zn5h3ncaJTIWqzSRh7jihGrD/LzDV+7u1CBuWDnvzK2ua0dcmOotPbK/2D1qUbrgh1fH6ybOhoNG2ahYnMMgx0acpbNHoP2P87CuqmjTV7T0vkj4gtq8eL7dejo7nVj61wjWhMjOD5zusziay5eElZNS055zKltumZU7CAkZKxT72+N18+J93KLDfbjukUiGzDgIY8wNWL1ZIz9UxEKi4rxxckTANxfqIDBjlBHdy/ySnWI230J6r2VyL16y6qpa7HBfji4OBx9O/8Dbz7NdQo0tAWM9MWbT0fi0u+jEOp/l8nrcq/eQuCrlThaLi5Z7E2WPZqMAFWQ4XhgI1FTOru6cKz4L4JzSx55xKltqtJWCY7dXWWzUd8jOb0xayErsxHZggEPeYSpESt7p2Z0dnXh9Vd3G47dWaiAwc6/aOs7sXL/Vwjc/iWzOUROopnkD11GHNI1oYCvj/RFP/yElGPXkbSvGo36Hvc20En8R43Cy3/cLDiXvnkTDuQdFl3b1KwTFYaxZm8dWxQWFQumSGti49y+JjTns69F5xzpK4mGqmF9fX19nm4EDS2N+h6o91aKzpeumGb3h/jefbl4Z99eAP1zrK2drz0xTDhK9nWTeJqdOQx2+rM5n1Z+h6yLN9HS+aPVr+PaHCLbNep7sLKgzvxggq8P9sSGYuOSCe5rmBMdyDuMXdlZgnMBqiBMj4oCAHR3dbn0M7f2Sh0+/fS4INgJUAXhk78cdes0aVN95cHF4fzcJLIRAx5yu5X7v0J+Y7vgXKj/XdBlxNl9z8GBiyY2DiOtzO4MTIEbMHhB6gsvvGC2dKm5amxDoUCBtr4Tb51tRn7TP62vtDZiONIjg5E6J4TT1YgccLS8FSmfN5j9vxcb7Ic3lqi9cq1HU7MOfz12HNqLlSb3vglQBeE3v12C+QvmO5TZeXbt84avjfsEoL9f2Lr1FbdvXv3i+3X904EHGzEcfdlz3NoOIiVglTZyq0Z9jyjYAYDMmc5bCGrtxnBSBnd2T6WmmrzOVLCTs3uP0zebkxN7szmJof54OvoeLJutvHKxRJ6wbPYYtE9TYcNH1yQ/U4H+EtYx71UjXROK9Un3euUGlV1dXSa/19F2B3r9Tdy8qXfoPaSCHKB/Lei29HSPbCfQ0d3bX7bfyME5rMxGZA9meMitXDViZTw1zRkOf/SxyY7u2bXPizpJJQc7zOYQyVdZTRvij92QLmE9YMRwlCZP9oq1H4VFxXj91d2G/dSsoY6IxM5du6zeUHQwc/3HQBYpNfVJt2Z4MgobkKNtEZ5kdofIbixaQG6jlBGrvftyh0SwM1BpbVx2BWLeq+4fRbYi2EkM9UdR8hT0Zc9B9nI1gx0iF1s0Q4W+7Dn9RQ1M+eEnxBfUYuX+r2RdwrqwqBjpmzcJgp3n12/A6b//HV83fYuvm75F1VeXsSUjU1DRreFaHdY884zkvjyO6Gi7g/y8A3js0WUoOVnq1HubfM/uXuRcFlfcS48Mdsv7EykRMzzkNpIjVr4+6Nv5Hx5pD2B70YLyikqseuJxwTmlBTvM5hB5L219J1463mCxqMHB+b+W3cJ348/XAFUQDhw6ZDJrIzW1WBMbh48/LrC7DbVX6nDt+g001NcLihYM+Otnn9uVRbJFXqkOq081Ck/6+qB92wNeOS2RSA4Y8JDbDHvlf0QP0OmaUGQvV3umQbA94Pnj5ldwrOgTw7FSChR0dPfi8Fkd3qi9zbU5vygsKkZ1lRbnzp5FR9sdBKiCMHfePERFaxQV4JIyvXb8G2y60GKxqMGRFfLZ7yop6SFBmWlrBpOamnVY+OCDgnPOGoSqvdKfNRqcbVJHRKKk5HOH723OsIzzoumJnu4ribwdAx5yC7mOWNkS8HR2dSH6/umGY3d0fK5WVtOGDy+1mlz0LEnh2ZzaK3XYsX272eIXmtg47Ni5w+1Vm4hs0dHdi6cO1UpuXGng64P06WM8/jBdcrIUL6591nBsy+frf2dvF2RjklMew6u7dzqlXbVX6vC7hx8SnHNlVl+yrwTQnjmX2R0iB3AND7nF6vPNonPp08d41Qd4xYWLguPkpY96qCWO6ejuxWvHv8GwjPOIL6i1OtgZCmtzBkZ0LVX6016owGOPLnP6egEiZwoY6YuS9VEoSp4CjBgufVHvz8jRtmBcdgXKasRrLN3lxo16wfHC+MVWvzZaEy04HpyFd9S0+yKRmrZGcK66Suu0+xuT6itTwwO9qq8kkiMGPORyeaU6yepBqXNCPNAa++n1wkWkISHeNY2rrKYNK/d/hcCsc9h0rsl8RacBI4Zjz9wwtGfORcn6KEVOXRtsx/bthukrAaogbMnINCyWPv33v2NLRqbh2o62O9ixfbunmkpktWWzx6D9j7Owbupok9e0dP6I+IJavPh+nUeKGtTfuC44HjPG+s+aiCmTReecORhhHFDdbGkxcaVjymraJD+X0x+e6JL3IxpKuA8PuVzWxZuic6nhgV6XIajSXhIcf3DkCI5/+qld95o3f4Fb1oEMrM3ZVNVqXYDzi9TwQDwZM8YrStg6S2FRsSGzI7VYOmz8OKxJW4WZMRrDFBfthQoUFhVzTQ/JXsBIX7z5dCSeqg/B0qJrJtfq5V69hdx//G8ULZ7g1gEO48qXY8daPyAmNbW0+3szRRtsZBxQObLXmzmZp8VTqr2xrySSIwY85FJlNW2SHasSRqwc6fSiNTFObImYvWtz9kSPwap544bk9InB01RWr33OZCWmafdFYktGJnZlZxlex4CHvIVmkj90GXH9VTMvt0oXNfjhJ6Qcu47Equ/wxrLJinjgPpB32PC1n5+fTf9n3bFWr6ymTbKy3h/mede2DURyxYCHXEpJI1amduOWC7llc8orKnHmizPQ628KfnbqiEhETp2KqGgNEhYvhP+oUXa/R8nJUlRpq3D9Wp2oNO2UiEioJ02y+sHm3Nmzhq8XLZxv9tpFC+cbAp7BryPyFtnL1UidE4KVBXUmS1ifaOnEiVwt9sSGYuOSCW5uoWNG+vkJjgf+vwLAgoRE2Q1SvH5OJzoXG+wHzSR/9zeGSIEY8JDLmBqxejJG2etA3E1u2RxLVc4artWh4VodjhV9gtdfDUJmdjaSEuJtfo+3337bZBCqvVBheP/8w+9jW3o6ZsfNMnvPwaVnLY3oDv6+LbvBE8lJeMjdqNgcg6PlrUj5vEE629P7Mzada0JxfQfeWKJ22QO4OiJSUJL65k291a9tahYHC67cK0cTG+fU+zXqeyQr6WUtvFd8MRHZhQEPucyHl8Q7RccG+8lqXYilfXfsvdbVGvU9yD+vR07dbVlkcwYM7JJurY62O3hx7bPotqHMq9TeGOY0XKvDqicet1hKNkAVZLhnU7PObNAz+AFr8G7vRN5o2ewxaJ+mwoaPrpkcOLlw+3vEvFeNdE0o1ifd6/SBktBx4wQBT2uruP8w5dr1G4JjdYQ42NHExhkGQbq7umxqm3EBhJEOZKWl5Hz2teic3PpKIm/HKm3kEo36HsmOkyNWjjla3oqkfdVQ761EjrbF5kprR9be77JOtKlZh9df3S06H6AKwoKERMMfqQAhffMmlJwstfgenV1dksGOM95j7rx5hq/LTp8x247B3x/8OiJvFTDSF0fW3o/SFdNMl7AGkKNtQeCrlU4vYT1p8hTBsfZipdWvrdJWCY4jp04VXTM2NPRf975QgU4bgp6Ll4RlqI3b6ghTfWXadNMV9YjIdszwkEtIjViF+t/FESs72JXN8fVBativ3FppbceOnaJAZEtGJpY9mixap1NYVIzXX90tuD4rIwNxsTPNruk5+pdjgtcEqILw8h83S2ZupN7jrTffNDl9LipaY9i/4+D+dzEzRiM5Lab2Sh0O7n9X8DoipVg0Q4W+Gar+ogZaE+WXf/gJ8QW1SL0UiL1PRDgl2zN58iTBsfZCBcorKi1ORW1q1uFv//dxwTn1JHGZauNzR/9yDGvSVllsV2dXl+D/u1RbHZFb2iQ+OWI40uK5qTGRMw3r6+vr83QjSFka9T1Q7xWPzh1cHM4PcRscLW/F+1Xfmd8l3Uio/13InDkWj8y6x62V1pqadVj44IOCc1syMs0+UNizg/lMzUxBAHP4o4/NPhDZ+h5JSQ8ZptUEqIKweu1zWLRwPsLGj0NTsw5lp8/g4P53DW3QxMbh448LTL4/kTfT1nfipeMNJosaAAB8fXBw/q+d8tk++P8f0D817aOPC8wOgvxx8yuCjUYDVEE4dbpU9BrjzwKp0vPGOru68Kc/7RDcXx0RiZKSz236e5nS0d2LwO1fitZOsa8kcj5OaSOnyz8vsdiUI1ZWadT3IKOwAcMyziPl2HXrgh1fH6SGB+LS76Ogy4hDWrz7y0obTwFTR0RaHD2V2sH87JkvTF5fXlEpCHZS09ZYHP21dZf0nbt2GabDdbTdwa7sLCx88EFMDLsXCx98ELuyswQbk27dts3s+xN5M80kf1RsjsGeuWGAr4/0Rb0/Y/WpRsTtvoRGfY9D75e89FHBccO1Ojzx+AqUV4gH0JqadaJgB+gvKS8VIE27LxILEhINxx1td7DmmWdQWFQs2Zbyiko8t/Z50f1TVz1t9d/Hkn0l34oLRfj6sK8kcgFOaSOn6uju7d/bwcjBOdxLwBxvyuZIMd6U1fjBxZRoTTTy8w4Yjs2V/r5utDDZePdza9/D3C7p0+6LxIFDh/DKli2CkWZjmtg4bN22zaWVoIjkYuOSCVg1bxyeOlRr8jPqwu3voc7VIn36GGQvV9v1PmvSVuHM6TJBhceBoiMBqiBMj4oC0F90QKoKpCY2DsseTTZ5/xdeeEHwGdPRdgfpmzfh9Vd3G+4NAJerqyWLojiznLWpvjJ9OquYErkCAx5yKo5YWc+RtTl/mDdeVvsztOiEZWGnTBHPoZcSFztTdM5UhbTvjKo2jQ2xbid24/ewtGHstPv6p6wUFhWjukqLc2fPoqPtDgJUQZg7bx6iojWy28ODyNUCRvqiZH1UfwnrU99If2b1/owcbQuONLYj7zfhdq0ffHf/O3hu7fOi/6cdbXfMDogMZFzNTX+bdl8kcnbvEVWStHRvoD+Y2rVrhxV/A+t8WvmdZF+5PomFfYhcgQEPORVHrCzz9myOFONsyNRI66oYST2c3NS3SgY8ev1NwbG12RV7NzZdnrKUgQ2RkYES1lnFDci9ekvympbOHxFfUIt1X41G5lK1TZ9Z/qNG4d397+DQ+/l4Z99eq16zICERu3btsOr/+vKUpRg50g9ZGRlWlbYfWMtnTYEDW6w+3yw6lz59jCw/34mUgAEPOU1eqY4jViY06nuQW9qE3Po26c39pMg0m2MNe4MMIpK/gJG+ePPpSDxVH4KlRdfQ0vmj5HW5V28h9x//G0WLJ2DZbOsHvvxHjcKG9evwu+QlKDt9BlXaS2jR6QQDKwsSEjFp8hQsXDDf5qmlSQnxiIudiZOnTqO6Sou6q1cF99bExmFsaCiiojVIWLzQ6Z9neaU6yQxZ6hzrstZEZDtWaSOnGZZxXvQhnq4JtXs+txLkleqQd/mW+SpHRuSezZEyMUwY1NqySavxay1VXrOVcQW5BQmJ+PP+d5x2f6KhLqOwoT+7b2YwJzHUH28sm4zwkLvd2DJ5kuorU8MDcWTt/R5qEZHyMcNDTsERq3+xN5uzbpIKT8WFeF02B+gvQW2Ppmad6Jy10+GsZbwLe0jIWKfen2ioy16uRuqcEKwsqDM5uHOipRMncrXYExuKjUsmuLmF8lFW0ybZV6Y/PNEDrSEaOhjwkFNkXbwpOpcaHjikRvPsyebEBvshbfpory/qYO/89sqLwhLRAaogp08fMd6F3drqbkRkvfCQu1GxOaa/qMHnDdKDPb0/Y9O5JhTXd+CNJWqvHNxxVOZpcfZ7qPWVRJ7AgIccVlbTJjmHeyiMWDmSzVkXHzbkOznjPXF+89slTr1/YVGxoCS1JjYOSQnxTn0PIvqXgaIGGz66hvzGdslrLtz+HjHvVSNdE4r1Sfd6zdRdR5XVtEkOiD0Zw8I+RK7GgIccNhRHrIZyNsdZyisqRZv6OSv7UnulDp9+elwQ7ASogrBjp/PKyhKRtICRvjiy9n48WdOG+GM3TJbdz9G2IKfuNkqTJ9tVwtrbvH5OPIU3NthvSPzdiTyNAQ85ZCiNWDGb4zydXV3YnpMjOKeOiLQ7+/Ls2ucNX0vtp7EgIRFbt74iWe6aiFxj0QwV+mao+osaaE1s+PvDT4gvqEXqpUDsfSJCsdmeRn2P5FYEWQtZxZTIHViljRyycv9XomkLscF+qNgc46EWOVdHdy8+rfyO2Rwn6uzqktxY0JHqbMaV3gaoIyKxLT3dqVXfiMh22vpOvHS8wfznqK8PDs7/tSI/N6X6ylD/u6DLiPNQi4iGFgY8ZLdGfQ/UeytF50tXTPP6FL22vhNvnW1GftM/mc1xIlPBzpaMTIc29jMV8AD9U9l+89slSE19khkeIg977fg32HShxeznamywH46siFTM56ipvvLg4nBFBndEcsSAh+wmNWKFEcPRlz3HMw1y0EA2J+viTZMb6UlhNsc6poKd1LQ1+K+MbQ7d21zAMyBAFYTM7GwWLSDysI7uXjx1qFZyitdgStnH7cX365B79ZbwpBf3lUTeiAEP2UVJI1Z2ZXNGDEd6ZDBS54QoZhTSlVwZ7BirvVKHa9dvoKG+XlC0YMBfP/vc5p3Zicj5jpa3IuXUNyaLGgD9077yfhPutbMGOrp7Ebj9S1Hf4o19JZE3Y8BDdpFchOpFI1b2ZnMSQ/3xdPQ9WDZbeUUZXMWdwY6x2it1WPPMM+hou2M4p46IREnJ5y59XyKyTkd3L7KKG8QZECPrpo5G5lK11xU1kOwrfX3Qt/M/PNIeoqGKAQ/ZzJtHrJjNcS9PBjsDaq/U4XcPPyQ4l7N7D5anLHXL+xORZdr6TiwtumZ+AMrXB0UPqb1mwMlUX6mUqXpE3uTfPN0A8j77Sr4VBwu+Pnhk1j2eaZAFHd29yCvVYVx2BWLeq+5fd2RFsJMY6o+i5Cnoy56D7OVqBjs2kkOwAwDT7otEatoawTnjDU+JyLM0k/yhy4jDnrlhgK+P9EW9PyPl2HUk7atGo77Hre2zx6eV30n2leuTWIqayN24Dw/ZLOdyq+hc+vQxsptqwGyO57iqGpu9ojXRgvU8N1tM7AlCRB61cckE/DZ6NFYW1JksYX2ipRMncrXYExuKjUsmuLmF1lt9vll0To59JdFQwCltZJO8Uh1Wn2oUnvT1Qfu2B2TxId7R3YvDZ3V4o/Y21+Z4iKlgx5PTyJqadVj44IOCc183feuRthCRdY6WtyLl8wazA1ah/nehOCUCmkn+7muYFST7SgANG2ZxMI3IA5jhIZtIjVitm6TyeLBTVtOGDy+1istkm8Nsjkts2bLVJcHOgbzDhq/9/Pxsuh/33yHyPstmj0H7NJXZogYtnT8i5r1qpGtCsT7pXo/3RQOyLt4UnUsND2RfQ+QhzPCQ1eQ2YjWQzdlU1Wq2rKkxZnNcZ+++XLyzb6/gnLMyO4P32lmQkIg/73/H7tcDzPAQeZOymjbEH7th/rN+xHCUJk/2eAnrspo2xBfUis4zu0PkOczwkNXkMmJlbzZnT/QYrJo3TjYjgEpTXlHpsmDH2TSxcZ5uAhHZYNEMFfpmqKTLPA/44SfEF9Qi8Zw/Pnhmmsc+6zNPiwdTmN0h8iwGPGSVspo2yTUx6Q9PdMv725vNSQ0PxJMxYzw+4jcUHP/0U8HxloxMpwY7mtg4w1S57q4um15be6VOcDxy1CintYuI3Cd7uRqpc0IsFjUI3P4lDs7/tdu3SiiraZNs15MxnFFA5EkMeMgqUiNWiaH+Lh+xYjbHO3R2deFY0SeGY3VEpNOrsY0NDYX2Qv/X2gsV6Ozqgr+VgcvFS8Iy1JMmT3Fq24jIfcJD7kbF5hi8dvwbbLrQIl3UoPdnrD7ViLzLt3BkRaTbsisfXhJXMY0N9uOgG5GHcR8essjUiNXLc10zctbR3YvXjn+DYRnnEV9Qa3WwkxoeiNIV09CXPQcbl0xgsONGFRcuCo6Tlz7q9PdQT5osOD76l2NWva6zqwsH978rODd58iSntYuIPGPjkglo3/YAEkP9TV5z4fb3UO+tREZhg8vb06jvkeyvshZy3x0iT2OGhyxy14gVszneS68X/o6EhDh/+sbMGI3g+OD+dzEzRoNp90WafE1nVxf+9Kcd6Gi7YzinjohEUkK809tHRO4XMNIXJeujLBY1yNG24EhjO/J+E+6ybEvOZ1+LzoX638XsDpEMMOAhs1w9YtWo70H+eT1y6m5zbY4Xq9JeEhx/cOSIaE2PtebNXyC59mfafZFYkJCIL06eAAB0tN3Bmmeewct/3Cx5fXlFJd7OzRWVyE5d9bRd7SIi+Vo0Q4X2if4WS1jHF9Ri3VejkblU7dRBMlN9ZebMsU57DyKyH8tSk1kr938l/hAfMRx92XMcuu/R8la8X/UdTrR0Wv8iZnNk69m1zxsCEUdtycg0uf6n9kodfvfwQ6LzAaogTI+KMhxfrq4WZHUG2FPOmoi8i7a+E0uLrpnffNrXB0UPqZ22PYFk9Tgn9JVE5BwMeMikRn0P1HsrRecPLg63q/KNXdkcXx+khv2K2RyZM97jxhHmAh4AKCwqRvrmTTbfVxMbh3f3v2N1oQMi8m5mixr8IjHUH28sm+xQUYOO7l4Ebv9S9D729pVE5Hyc0kYm5Z/Xi0+OGG7zB7g92ZxQ/7uQOXMsHpl1D7M5JLA8ZSlGjvRDVkaGZBbHWIAqCKvXPuf0qnFEJG8bl0zAb6NHWyxhfSJXiz2xodi4ZIJd77Ov5FtxUOXrw2CHSEaY4SFJjo5YOZLN+cO88dBM8rej1TSUdHZ14eSp06iu0qLu6lU0XPvXXjua2DiMDQ1FVLQGCYsXMqtDNMQdLW9FyucNZrM9of53oTglwub+Z9gr/yO6b7omFNnL1Xa0lIhcgQEPSZKcj+zrg/ZtD5jNuDCbQ0REctTR3Wu2qMGAdE0o1ifda1V/lFeqw+pTjcKTVvSVROReDHhI0rCM86LMjKkRK2ZziIjIW1gqYQ0AGDEcpcmTLa4dtaWvJCLP4RoeEskr1Yk7Al8frE8SLkxnNoeIiLzNohkq9M1QSc9kGPDDT4gvqEXiOX988Mw0yf5Ksq8EkDonxNlNJiIHMcNDIlIjVuumjsabT0eiUd+D3NIm5Na3mZ0LLcBsDhERyVCjvsdsUQMAgK8PDs7/tWj96rjsClHp69TwQBxZe78rmkpEDmDAQwKS85EB7HwgDMe/7jDfKRhhNoeIiLyBNSWsY4P9cGRFJMJD7u6fFldQK7qmYcMsh0pcE5FrMOAhgbjdl8RBzb8NA/4/K39NfH2wbpIK6+LD+KFPREReo6O7F08dqrU4TTtdE4ovdJ2ivpLZHSL5YsBDBqZGrKwRG+yHtOmjue8AERF5NauKGkgoXTGNG2QTyRQDHjKQzO4QERGRWbHBfqjYHOPpZhCRCf/m6QaQPGjrxel5IiIisixr4b2WLyIij2HAQwCAt842e7oJREREXifU/y5OZSOSOQY81L9xaGO7p5tBRETkdTJnjvV0E4jIAgY8hJzPvvZ0E4iIiLzPiOEs1kPkBVi0gIiIiIiIFIsZHiIiIiIiUiwGPEREREREpFgMeIiIiIiISLEY8BARERERkWIx4CEiIiIiIsViwENERERERIrFgIeIiIiIiBSLAQ8RERERESkWAx4iIiIiIlIsBjxERERERKRYDHiIiIiIiEixGPAQEREREZFiMeAhIiIiIiLFYsBDRERERESKxYCHiIiIiIgUiwEPEREREREpFgMeIiIiIiJSLAY8RERERESkWAx4iIiIiIhIsRjwEBERERGRYjHgISIiIiIixWLAQ0REREREisWAh4iIiIiIFIsBDxERERERKRYDHiIiIiIiUiwGPEREREREpFgMeIiIiIiISLEY8BARERERkWIx4CEiIiIiIsViwENERERERIrFgIeIiIiIiBSLAQ8RERERESkWAx4iIiIiIlIsBjxERERERKRYDHiIiIiIiEixGPAQEREREZFiMeAhIiIiIiLFYsBDRERERESKxYCHiIiIiIgUiwEPEREREREpFgMeIiIiIiJSLAY8RERERESkWAx4iIiIiIhIsRjwEBERERGRYjHgISIiIiIixWLAQ0REREREisWAh4iIiIiIFOv/B/Z7EazjPma1AAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/396.jpg"
}
] |
<image>Find y in the parallelogram.
|
A
| 64,844 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/397.jpg"
}
] |
<image>If W P is a perpendicular bisector, m \angle W H A = 8 q + 17, m \angle H W P = 10 + q, A P = 6 r + 4, and P H = 22 + 3 r, find q.
|
C
| 64,845 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/398.jpg"
}
] |
<image>If x = 7 \sqrt { 3 }, find a.
|
C
| 64,846 | null |
C
|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAsQAAAFdCAYAAAAE1HuVAACXu0lEQVR4nOzdd3zV9b3H8dfv7JlxsheEkbD3UEEEFHBWravLau26HXba3d577V622t3b5a51W1dFtgiIICPsJAQIkD3PXr/f7/5xTk4SSACRleTzfDy8XOhJOCQ557zP9/cZiq7rOkIIIYQQQgxRhvN9B4QQQgghhDifJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSJBALIYQQQoghTQKxEEIIIYQY0iQQCyGEEEKIIU0CsRBCCCGEGNIkEAshhBBCiCFNArEQQgghhBjSTOf7DgghxFATimo0+aM0+iM0+qJ0huLENJ24pqNqOjFNR1V1NF3HYFAwKgpmo4LRoGBK/pduN5HnspDvtpDntmI1G1DO9z9MCCEGKAnEQghxBjV4oxz1hmn0RWnwRmn09/jVF6HRG6UzoqImw6+m62g66F2fQAe9+3cpCoCipP5/gwIGJRGSDQpkJANyXpqFfJeFvDRr4ld3IjQXZ9jIcZkxKBKbhRDiWIqu68c/8wohhDipBm+UHfU+ttf52V7vZ3udj2Z/jJimo2k6qk7y10To7RmAz7RjA7JRUZKny6ROmfPdFiYVOJlS6GZqoYsphW6yXRYMkpGFEEOcBGIhhDgFrYEoO+oDifBblwjBdd4IEVUnpmrEVJ1YsszhQmVIll4k/jNgNigUp1uZXOhiSqGLqUUuJue7yXSYkYNkIcRQIoFYCCH60BqIsqq6nZXV7Ww54qO2I0IkrvUKv+q7fPpMsxrJdVnIT7OS5zanShs8dhNmkwGTkqwRNiZ+NRqUVGlFrxpjVac1GKPRF6XRF6HBF02UaPii+KMq7+ZuGY8JyRajwnCPjWmFbi4vy+Ty0R48EpCFEIOcBGIhhEg61BZmeVUrr+1t5e3DXnxhlXBcI6omgujJZDvMTCp0UZZtT4TeVNNb4leHxYgxWb7QVc6QKHHorg1Goc/mOD35f7ruhaZ31SAnSjFUXUfTwB+J0+SP0uCP0ujt/rWyJUBFXYD2UOykJRtGg4LFqGA1GXBbjFxcms6Scg9XjsmiKMMqdchCiEFHArEQYsjSdZ2dDQGW7WvltX1t7GoIEIgmQ3Bc66O1rVuG3cTEPCdTkrW4U4rcFKcnpj2YDUqqbrdnDe+5yJG6TjIcJ2qYu/7/mKYTjWvUdoTZkSr7CLCj3k9nJN7vqbICWEwGbMn/pha6WFTu4epxWYzJdWKSAmQhxCAggVgIMaTEVI23a70s3dfG6/taOdgeJpgMwTG176dDl8XAhPxk8C1MNKWVeuzYTAbMRgWL0ZAai3ah6yq5iCZLPyJxjZrWEDsa/In66KM+djUEEqUXfXy82agkwrHZwOgsB1eUebhqrIdZJWlYTDLaXggxMEkgFkIMCXWdEZ7Y2sA/tzRwuCNCMKYRjmv9lkKUZtpYVO7hqrFZzCpx47CYsHQ1oyVrfAeLeDIkx9REeUgoqrKx1svrla28vq+VIx3RPuulTYZEWYXNbKA0w8YHp+Xx4en55KdZpKxCCDGgSCAWQgxauq7z1iEvj26u59W9rbQFYwSjWp/hTgEmFThZPCaLq8Z4GJ/vwmkxYjcZMJuG1tILHYjGNSJxjVBMZXudn2WVbSzd28qepiDxPt5EGA0KDrOBTLuZa8dn8bFZBUwrSsNsHEpfOSHEQCWBWAgx6AQiKv/e1czDm+rZXu/HG44TjmvH1claDAoXDU9jyZgslpR7GO6x47AYU6UQIiGm6oTjGuGYyv6WECuq23htbxubDncSiff+oiqAzWzAaTEysziNj87M530TsnFZTUPqTYUQYmCRQCyEGDQOtIZ4fEsDT25r5GhnBH9UPa4u2KDA/FGZ3Dgxh0VlmeS6rdjNiYaxgVADfL6pWlc41mjwRVlV3cYzFU1sONhJ9Jivtdmo4LQYKU63ctuUPD46M59hmTYppxBCXHAkEAshBrw39nfw4KY6lle20RGOE4xqxy3ISLcZuXlyLnfMLGB8nhOnNXESLOHs9Gl6oikvGNPYUefnsXfqeW5HMx2heK+GPIOSKKdIs5lYMsbDJy8qZPawdDmFF0JcMCQQCyEGrK1HfPxy9UFWVXfQEYoT6WNU2rhcJ7fPyOPmybnkua24rMZB1RB3oYirOoGYSoM3yrMVjTyyuYHq1tBxTYs2kwGn1chVYzx8bcFwJha45PshhDjvJBALIQacA60hfrWmlhd2NtMSiB03M9hkUFhS7uGOWQXMG5FBut2E3SynweeCpkMopuIPq6za38YjmxtYVd1OOK71up3VZCDTbuK2Kbl86bISSj12+f4IIc4bCcRCiAGj2R/lD+uO8Mjmehp8UcKx3kE4x2nmtqm53D6jgNHZDtxWI5YhNiHiQhKJawSiKvuagvxzSwNPbm+kJRDr1dzoMBvIdVn42OwCPnNJEbkuq6yJFkKccxKIhRAXvEBE5R9v1/HnDUeo7YgQiKq9QlW208zn5hTx0ZkF5LosOJMrksWFIa7pBKMqzYEYD2+q5/82HKG5RzBWFHCajQzLsPHZuUXcMbOANJvp/N5pIcSQIoFYCHHBiqkaT29v4oE3DlPZHMQXidOzJNVpMfCxmYV8dk4xwzw2XBajnC5ewHQdAlGVQ+0h/rjuKI+904A3Ek/97wZFwWU1Mi7XzpfmDePGSbnYzbL9Tghx9kkgFkJckN7Y386Plh1gS52fjlC8V3OWyaBwy+RcvjSvhLF5TtJsRqk/HUA0XccXUdnTGOD+NbW8uKulV42xyZAIxrNL0vjvJSO4SCZSCCHOMgnEQogLii8S5+crDvHQ5nqa/NFec4QVYHG5h3sWDGN6cRoZdpNMKBjA4loiGG882MF9q2tZe6CTqNodjM1GBY/DzGcuKeJL80rIcJilHlwIcVZIIBZCXDDWH+zkO69Us/WoD98xdcIzi918feFw5o/KxOMwy4nhIBJTNbxhldcrW7lvVS0V9f5e66FdViMzi9389JrRzCiRddBCiDNPArEQ4rwLRFV+tfoQf9tYR7032isMlXpsfHPhcN43IYdsp1mmRgxikbhGRyjOsxVN/HLVIWo7IqkFK2ajQrbTzN1zS/j83GLS7dJ0J4Q4cyQQCyHOq02HO/n2K/vZfNiHNxJPnQobFPjojHy+dUUpwzJt2M1GCcJDRCimcqg9zA9fP8BzO5sJxxJlFAqJ0+KLh6fz46tHMa3YLSUzQogzQgKxEOK8CMc0Hnijlj+vP0qdL9KrVnhYhpUfXz2KK8dmkeU0S8PcEKTpOt6wyvM7mvj+0gMc7gynJoyYjQq5LgtfnlfCpy8pkhFtQoj3TAKxEOKc23bUx7dermbjYS+d4e5TYQX44LQ8vnNFKaOyHdjMUh4x1IVjGvtbg9y7tIaXd7emplF0nRZfOiKdn1wzWlZACyHeEwnEQohzRtd1/vpWHT9beZAjnb1PhQvTLPzo6lFcOz6bbDkVFj1ouk5nOM7T25r40bIDHPVGUqfFFqNCvtvCD64axW1T82RusRDitEggFkKcE+GYxn+/tp9HNjfQHIj2miBx86Rc/mdJKWU5DmxSKyz6EYppVDUH+J/XanhtXxuRrtNiBdJtJu6eW8zXFg4nXUoohBDvkgRiIcRZ1+iL8IXnKlla2YYvHKfrSSfPZeH7V43gxom5ZDvNsm5ZnJSq63SG4jyxtZGfLD9IvS+SenPlshi5fkI2v7iujMJ0q2wtFEKcMgnEQoizqqLez+ef3cs7R3yEYt1LFy4dkc79N5QzPs+J3SKnwuLdCcZU9jQG+eLz+9h02Jsqv7GZDMwqSeP3N41hQr5T3mQJIU6JBGIhxFnz0u4WvvFiFfvbQr3qhe+Ymc+9S0YyLNMmgUWcNlXTOdoZ4ZsvV/PCru7xbCaDwqgsO7+5sZyFZZlYjFJXLIQ4MQnEQogzTtN0frP2ML9aU0t9zwYog8L/XDmCT15URI7LgmRh8V7pOrQHY/xqTS2/e/MwvogKJOZY57gs3LtkBHfMLMBhMZ7neyqEuJBJIBZCnFGBiMo3X6niyW1NtAZjqfrObKeZB24o59rx2aTbTVIiIc4oX0Tlme2NfOfV/TT6ougkRrOl2Ux8YnYh31tcSqbDfL7vphDiAiWBWAhxxhzpjPD5Z/eyqrodf0RNNc+Ny3Xyh5vLuWhYutQLi7MmFNNYf7CDLzy3j8rmEGry5c1pMXLlGA/331BOSYZNmu2EEMeRQCyEOCMOd4S545+72Vjb2at5bnG5h19dX8aYXIfUcoqzLqbq7GsK8MXn9/Hmwc5U7brVZODS0nT+ets4hnvsUq4jhOhFArEQ4j073BHmjsd3s6G2s3s2LPCZOUV86/LhFKVL85w4d1Rdp9Eb4bv/qeHJbY2pN2hmo8JlIzP4660SioUQvUkgFkK8J32FYYtB4cfXjOKOWQXkOC1yiVqcczrQGYrzu7WHuW91Ld5IHJBQLITomwRiIcRp6y8M/+qGMj4yI58Mu1nqhcV55Y+o/GndEX684iCdYQnFQoi+SUGfEOK0nCgM3z6jQMKwuCC4rEY+d2kx372iNLXSOabqvFHTwaee3sOhtlBqLKAQYuiSQCyEeNdOFoZlrJq4kDgtEoqFECcmgVgI8a5IGBYDkYRiIcSJSCAWQpwyCcNiIDtZKD4ooViIIUsCsRDilLQEotz5hIRhMbCdKBR/5pm91HsjSCYWYuiRQCyEOKloXOOLz1Xy1iEJw2Lg6y8Ur9nfzv++tp+OYOw830MhxLkmgVgIcVL/u7SGV/e2Eu5acCBhWAxwXaH4O1eUkpYMxVFV559bG/m/DUfxRdTzfA+FEOeSBGIhxAk9+HYd/3i7Hm84nrqU/J1FpXx4er6EYTGgOS1GPn9pMZ+YXYDTYgQgFNP42cqDvLqnhXBcO8lnEEIMFhKIhRD9WlPdzg+WHaAlEE2F4Q9Py+Mzc4rJlDnDYhBwWox8b9EIFpVlYjUlXhI7wypff7GKdw57iUuXnRBDggRiIUSfqluCfOmFSg53RFKd9xcPT+cHV40i1yXrmMXg4XGauf/GcqYUuDAl19Yd8Ub4wvOV1LSG0GShqxCDngRiIcRxOoIxPvfsXvY0BVCTaXh4ppXfvb+cUo9NVt2KQWd4po3f3TSGYRlWDAroOlTU+7nn31U0+aLn++4JIc4yCcRCiF7imsZXX6xi/UEvUTURht0WI3+4aSyTClwYJQ2LQcigKEwvdnPf+8rIcpoBUDWdZVVt/GT5QTpC8fN8D4UQZ5MEYiFELz9dcYgXdjYTjCa67A0K/OJ9o5k/qrvGUojByGRQuGZ8Nl9fMDw1ji0S1/jHpnoe2VxHICqTJ4QYrOTVTQiR8mxFI39af4SOHhMlvjp/GLdOzcNpNZ7X+ybEuWA1Gfjs3GI+OC0XR3LyRCCq8v3XD7JmfztRmTwhxKAkgVgIAcCRjjD3Lj1Aoy9GVw/RjRNz+PJlw/DIRAkxhLgsRn541SguG5mOxZj4yW8LxvjOq/s52hlBeuyEGHwkEAsh0DSd77y6n+qW7o76qYUufn7taArSZKKEGHqyXRZ+c2M54/Ocqbr5nQ0Bfv1GLZ1hqScWYrCRQCyE4PEtjby6tzW1ltlpMXDf9WWMyLJjkDQshiAFGJ3t4AdXjSTTnqgnVjWdB9+uZ1V1W+qxIoQYHCQQCzHEHWwN8ZMVB2gP9qwbHs7skjTMRgnDYugyKApLxmTxken5qU12gajKf79Ww5GOsJROCDGISCAWYgjTNJ1vv7qfA23hVKnEnNJ0/uuSIlxW03m+d0Kcf1aTgW9dPpzxeY7U0o69TUF+saqWDimdEGLQkEAsxBD20KZ6Xq9sS3XOuywGfnLNKPLcUjcsRJc8t5UfXjUKj6O7dOKxdxpYtq+VsJROCDEoSCAWYoiqbgnys5UH6QjFUqUS37y8lBnFaamTMCEEKAosLMvkzpkFuJLjB4Mxlf95rYbadlntLMRgIIFYiCEorml8+5VqDnVESG5m5rKRGXx8dmGqVlII0c1iNPC1hcOZVOBMvWGsbgnxsxWHZIudEIOABGIhhqC/vVXHiuruJQPpViM/uWYUuVIqIUS/cpwWfnjVqO7VzrrOk9sa+c/eVsIxKZ0QYiCTQCzEEFPdEuS+1bV09jjV+s6iUqYUuqVUQogTUBSYNzKDT8wuxJ0qndC497UaDneEU1dbhBADj7SRCzHE/Gp1LUc7u0slFpV5+OjMAlnNLMQpsBgNfGX+MN6s6WDDoU5imk5NW5gHN9XxrctLSbPJy6o4sUjjVl5//kWWvbmNmrpOYtZMCsdMY/77buP6uSPJtJlkM+h5oOi6dAMIMVRsPuzl+n9U0OCNoJOYKrHsM9OZVZKW2sYlhDgxHVhd3c6HHt1Joz8KQLbTzLL/msakApc8lkQ/YjSu+wc///W/WF/ViDcYJa5q6IoBk9mKzZnDhOu/yLfuvpqxWXZM8mN0TknJhBBDhK7r/GzFQVoD0dRUiY9fVNRrNa0Q4uQUYO6IdK4Zl4XdnHgZbQ3G+NP6I3gj6vm9c+KCFdr9JL/4+SOsrKil1aeQWT6Ly993PVfNn0yBPU6wvZbNT/6CH/99PXXJQwtx7si1HSGGiL9vrGPV/g5iauJp1mhQaA1EeW5HE1ML3YzNdWAzS9mEEKeiq3RieWUbRzoj6Do8saWR22cUcElputTji960wyx9+Ek2VDcSMJSw8Cvf4O4bZ1CcZsWgxfHuX8HffnY//65oZuuTD/LS/PHcMaMAt/l83/GhQwKxEENAXNP4/ZtH6Ah1r2dWNZ3nd7bw6t5WLEYDLouRcbkOJhe6mVLoYkqBi1HZdkxGuZAkRF/G5Tm5bWoe/7fhKP6oii+q8pu1tYzPG5eaRCEEgHp0PavfqcMbguL3f54v3HIZ4wqcmJJjfdLTbuBL9xyl5p6HeKdhC6vWHuDmcdm40+Xn6FyRQCzEEPDM9iYOtoePWyAQjKoEEyWQNAGHOyKsrunAYjRgNSlk2EyMz3MxpSgRkCcXuhiWacMgs9mEwGRQ+MKlxby4q5nq1hC6Dq/sbmXDwU6WjPFgMcmbyQua1sGG33+DX7y4l9agimnaf/Hn79/M6GznGa8nVWtrqPVHiSk5TLlkKgWZjlQYBlBMNjxT5zGz5Fl2NTdwcP8hotGpgATic0UCsRCDXDCqcv+aw/ij3bWNRekWmv0xomp3QNaBqKqRuFnitg2+KDVtYV6vbMViMmA1Gsh2mplU4EqcIhe6mFzgJtdtQa4Qi6GoJNPGx2YV8vNVh/CG44TjGr9ac4jZw9PIdVnO990TJxDe8xyP/PsdKg+0EdHAXOJLlZSdcaqGpuvoKJjNpj4PFRSzFYtZQVF01HgcZObBOSWBWIhB7qFNdextDqIm56xNL3Lz2EcmYDYq7G0KUlHnZ3udj+31fva3hIj3GKaq6xCJa0TiQKQ7JFc2B3lpdwtWo4LFZKAozZIMyYlyi8mFLtJtZlnyIQY9g6LwqYsLeWp7IzvrA6i6zvqDnby2t5Vbp+Slmu7EBSZ2iFcfepZtdZ1Ez8FOFWNRIXlWM5V6Kzu3VuNbUESmzdJrvFrswFYqjgYIxw0MKyrCZJbT4XNJArEQg1hrIMof1h3BH+lewvGNhcMZlW3HbDAwLNPGglGZRFWNSFyjIxRnd6Of7Uf9bK/3s73Oz+GOSK9SC03XCcd1wvHuV5EGX5QdDQGeqWjGajJgMSqM8NiZXJAstyh0MyHfgcMi8zXF4JPttPDZS4r59qvVtIfiRFWdX6+p5YrRmRRl2M733RPH0Wh54zGeXFdLe1g9J9McjCVzmDP2Ed5p7OTAi3/kr+OzuPt9k8lzJJ4Tw3XreeQ3T7ClwUfMUsacS0fhcEggPpckEAsxiP1x3VEOtfdewnF5WSZmowGFRKe8xQiQmC6R57YyMsvOkjFZROI6UVWj2RdlZ0MgcYpc56ei3k+TP9prK5eq6YQ0nVCsd0h+56gP69bEKbLdZKA8x8HkZMPe5CIXY7IdWGWyhRjgFAU+PCOPx7bU89YhL3FNZ1dDgKe3N/GpS4pwWuRn/EKi+d/hyUeWUd0SIH6uqhIso7jujvexcvdDvF23k3//9Mvsfn0mU8sLsfoPs2vTZnYfaqQzYmL4jXfy/ik5uC1yfHAuSSAWYpBqCUR5eHM9wVii1MFoUPj6wmFk2M39ntIaFLCaDFhNBtzWxJ/luy2MyXVy3YRsonGNiKpztCNMRb0/WW7hZ0e9n85IvFfJW1zTiUdVgsnfK8BRb4T1BzsT9cgmJTHZIs+ZOEkudDO5wMXILJtMthADjttq4ovzStjTtI/WQIy4pvPnDUe5ZUquBOILSoSq5x/m5Z2N+BhG+cg2Dh72E42d7WRswjP7Lr7xlU5+9Ovn2FZ3hF1rm6l6y4iixYlFosR1O8Ou+Azf+vxiyrLsGCUPn1MSiIUYpJ7a1kSjP5oKqe+fmMPMkjTM7/JZ1qAo2MwKth61kAVuC5MKXdw6RU+E5LhGTVuIHckyi+11PnY3BglGuy9H6kBM1YmpKsnOPRTgUEeEVdXtqaa9TLuJCfnO5Emym8mFLoozrDLZQlzwrhufw0Nv17O8qo2oqlPdGmJVdTu3SC3xBUM9spRHn97M0Y44OYtu5zrz4zzcGKD1rAdiUCwZjL32Hu4bNYuXnv43y9dtZ3+Dl7glnZIJ05h33Qe4ecl0RuWlYZE0fM5JIBZiEIprGo9srk+VMCjApy8uIs16Zh7yRoOCw2CkZ4lbQZqVmSVpyXpknVBUpao5SEV9sh75qJ/KliCRHrXHOhCNa0R7Ne1F2N8a4rV9bViMClaTgTyXhQkFztTot6mFbrKcMtlCXFjsZgN3zCpgY62X1mAMVdN57J0Grhqbhd0sEyfOO62NdY/9k7UHWgm7Z/KpO+YzfOlznLvzewWjLY3CSYv56Ig53BKOElM1UAwYzVZsDhdOuwmjvPk/LyQQCzEILd/XRlVLKDVZ4qLhaUwtcmE6i6cOJqOCyWjEmXx50YHiDBtzRmSkmvb8EZU9jYFESE7WJB9oC/eabKHpEI5rvZv2vFH2NAV4cWdL8iRZoSTDmphsUeBmcpGLSQVO0qwy2UKcX9eOy+IXmTY6QnFUXWdNTQd7GgNk2M3v+uqMOLMC25/m0aX7aA6YGXvHnVwzLp8jK8/990QxWnGmW3Gmn/O/WpyABGIhBqEHN9X3mixx58wC3LZz+3BXALNRwWw00tW0p+swPNPGwjJPsh5Zoz0YY1dDINGwV+dne72Po53RXpMtVF0nFDu+aW97XYCnTE1YjQasZoWRHgeTC5zJ0W9uxuc5sVuMMtlCnDMuq4lbJudS3RrCG44TiWs8sbWRSYUuMu0yNeC8iVXz8sPPs6Pei1Z8PR+9dTqF6Rbq3uWnUfc/zfd/8BQVTX7iupHcJV/nh5+4hMJ0y3HPM1rTKn77/b+y9kA7Ed1C8VX38N27LqY47fjbivNPArEQg8zepgBv1HSkBswXpVm4Zlw21gugUU1RwGIyYDEB1kRIzndbGJXt4KqxWURVnUhco9EXSU226Grcaw3Gek22iGs6cU0lGOv+s3pvlE2HvalSC4fFSHm2ncnJhr0phS7KcxyyQUycVR+ekcf/vXUUXzixKv2Ziia+dFkJ6TazlPmcFxoNyx/h6Y1HaI96mPeRDzN3mAeb8d0PIDYWjafY0MirNUfxxuBA9HUqbppMdpoFa6+hwkd5/Q9/5IW1FdT7VWzlt/KJK8aS5ey/qVmcXxKIhRhkHtvcQGfyhRjgg9PyE0/CF+izsEFRsJkUbD1Car7bwrg8FzdMzCES14jGdQ53hBNNe/V+Ko762NEQwNvj3wndTXuB5O8V4EhHmDcPdqbWUadZjYzN66pHdjO10EWpx45Rkoo4Q0oybCwZ4+HxdxoIxjRagzFe3NXC5+bYcFll4sS5pnW8xROPraamJYR96h3cfmUZ2S4TCtF3/8lso1m0cAJPbm2iMxIhcngtq7d9govyM7Daup5DYhx88ff8bekeGnxRNPcUPvDFjzFvdDZ2KZu5YEkgFmIQ6QzFeXp7U6pxzWo0cPuM/AHX4W40KNgNSq/7nZ9mYUqRi9viiVPkSEyjpi1IRX2gx2SLQK+yisQ6ap2oqpJaR63AwfYIK6u6J1tkOUxMyE807E1JTrcoSLfIZAtxWgyKwkdnFPDizhaCscSkl8feqef26XkSiM+5MHuefZjX9jThV0Zy68duYGJ+Gqc/4tdKyRWLmPbo2zR6I4Rj9WxYvYW2eQVk2uyJJRuVz/CHB1dS2RwkrmQz95Nf5kOXjMBjNcjp8AVMArEQg8izO5oSJxLJY9NrxmVR6rEPimBnMiiYjp1skW5l1rD01HzkYERlX0uQiq5Si3o/Vc1BourJ1lFHqGoJ8ere1tQ66ny3hUn5Tib3WEftcchkC3FqLhqexpRCF6v3txNVdfY0BnnzQCfXT7T0uhoizq7YwVd45Nmt1HWq5C65kw/MLibT+t6+/uaC+Sya/Q/ePNpBOBincf0qNjcvoDDTjiO0g3/95mHWVrcQUk0UXfVZPn/jdIrT5bnjQieBWIhBQtN0Ht7UvYgD4K7ZBYN6KUBX017Xv1F3Q3GmlXkjMoioGtG4hjessqfRz/a6ABX1ickWB9vDqQkc0M9kC1+U3Y0Bnt/ZklhHbVIYlmFjcoErVY88Md+F22a6YMtRxPljMRr48PR8Nh/x0RZMLOp4fEsDC8sysZlkBNs5oTXzxqNPsKG2nYh7Nh+8fT6lWY73vvDC4OGSJXMpXl5Le9CP2rqRNW83sajYyO5Hfsu/NhykLaJhLbuZL3zuGiYUuhlgF+mGJAnEQgwSa2ra2dUYSI0wm1rkYvaw9CE16qnnOmoXXU17UOqxcUV5VqIeWdVoDcTY1dC9aW97vY96b6z3ZIu+1lF7o2w76sdiSjTt2UwGRmXZE+PfkuUW43Kd2GSyhQBumJjDfasP0RGKo+k6yyvbqG4JkWk3Y5LjwrNMw7f5Xzy2vJrmoIVxd97BNeNycZnPxNfdQNrMK5k36hX2t/nxxdrYtGo9e1wN/O3pzdR2RNFdU/jQlz/BgrJcHCb5Xg8EEoiFGCSe2tZEINJ9OnzHjALSzvGotQuRklpHDe4eky3KchxcMy47GZJ1GrwRdjQEqEjOR95e56ctFDt+HfUxky3qvBE21noTp8hGBafFSHmOnSmF7uQ6aidl2Q7Mcpl8yEm3m7hpUi6H2mvxRVSCMY0XdzYzPs9Jujw2z65IJS889CK7GnxQcgMfvWVaoi/gDH16xTGBJQvG8MKuFvydUTrffoQfVnZS1+QjiodLPvElPjynFI9N6oYHCnlECjEIhKIay6vaiKiJ08xMu4kbJmZLrWI/+ptsMT7fxfsndU+2ONQeoqK+6yTZx86GAP6I2vdkix7rqA93hFl7oBOrMVFqkW4zMT6v9zrq4Zk2mWwxyCnAR6bn8beNdfiSb1Zf29vKF+eVSCA+q1SOvPYwz26uozPm4bLbP8zc4R5sZ/JqmWJj1OLLmfjENpq8USLBoxwMaWiamcIrP8sXbppBcbpV6oYHEHlECjEIrD/YQWug+zRz4ahMspwWqW19F/qbbDGtyJ1owlN1wjGV6tYQO1JLRPzsaQz0qj3uOdnC3zXZwhflQFuY5VXtqRnJ2U4zE/KcqYa9yQVu8tNkssVgMyrbwcR8Jy2BKFFVZ1djgINtYXJcFimbOEu0trX88/G1HGwLY592J7cvHk2W03TGT2otxZdzxYxHebuhk0hIQ9PBOup67v6s1A0PRBKIhRgElu5r7RXKrhonp8NngsmgYLIYcfRoTCxKt3HxsPTUOupAVGVfU5CK+q7JFgGqW4KpxSjQc7JF9/eo3htlX3OQV/a0psotCtOsTCxITrYoSKyj9jjkjc1AZjQoXFHuYWOtl6gaJ6bqrKpuZ2KBK1XCI84klUOvPcOK6haCqpURGUHeeflJqix9PR+qHNrVSjCWeKxqjVv49+Ow3mWnYNb7uHxCNo4TzWcz2vFkOjGlTp7NlF3xPi4qzZa64QFIArEQA5ym6by+r41IPPGkbjcbWDgqA8sFsJluMDpuHTUwLNPGZaMyU+uoO4NxdjcFqKjzp4LyoY7IMZMtdMIxnXCPpr16X5QdDX6e29GcWEdtMjDcY01Ntphc4GZigROn9cyfdomzZ0m5hwfeOExnOLFO/fXKVj5xUaEE4rNCw9fSSjCmoulRatc/wyNv91/Hq0aChJKBWD2yjif/sQmDYmb6Fy/morKsEwRijdb1D/LQsgO0B7t6N+Ic2F5BU2g6RRlmCVgDjHy/hBjgthz1caQzkpqQMKc0nSzXhbuZbrDpOdmiax11gdvKyGw7i8s9qXXULf4oOxv8VNQnGvYq6vw0+k8+2aLOG2HLEX+q1MJuNjI6y86kQldy256LsbkObGYJVxeqCfkuRnhsNPujxDWdtw95afJHyXGZpUTmLNB1PVnnrxMLBYid5PYp8QgBfwQwE4xovRpqj6UefZ0//+4Fth3tJJp6uOoEK5azuvomxmS7SDsjEy3EuSKBWIgB7vV9bYR6lkuMycJmknB0PnVPtug+pS9IszAm18l1E7qb9uo6w92TLer97Kj30x6KHz/ZItq9jhrgSGeYDYc6E5v2TAZcFiNjcuzdS0QKXIzOtmOSqwQXBLNRYeHoTHbU+/FFVEJxjTf2tzMyyz6o54SfHwY8E67g+ptH4w33boA9nkbjtmW8tb+DcEzHkDeVxZeMJsNmpXRCJvb+Am1kP//+3f/xn531+GIG8i+6hMx9W9jfGSQa2sfK5bv5wKQc3BkWuZIzgEggFmKA+8/eFqLJQGw0KCwe48Eq9WsXHIOiYDMr2My9Q/LEQhc3T85N1hirHGyLsKM+cZJcUe9jZ32AQLTvyRb0mGxxqD3MmpqOZD2ygQy7kfF5yXXUyZPkkgyZbHG+LC739Jo2sayyndum5UsgPuOMFF76YT47O4524jQMRNlw33Z21nYSjukYiy/ljrs/SHmOC4vNhb3PcokAu5/8LQ+u2EdzMI6x+Br+66sfx/DEt/nt0v20hiIcXLWcbXfOIDfdg00ebgOGBGIhBrDK5iCVzaHUMo5phW6K021yGXaAMBoUHMesoy5MtzGjxJ1aRx2KxlOTLbYnyy32NQX7mGyhEVVJBa4GH+xvDfN6ZVtqHXWuy8yErpCc/C/HJZMtzoXZw9LId1loTpbJrKlppzMUI9sh5U1nmtHmxG07lVtGcVqM3aPRTDZc7nTS0139zCvW6Nz0CL979E1qWsOopuFc/7lPsmjCBExLZvGvdUdpDwWJ1a1lxaaPM7cgA5tdrtIMFBKIhRjAlu1rJRjtXsZx5VhPr7FhYuDpmmzRfXJooTjDziXDM1KTLXyRrskWifnIFXV+9rd2vzGCxDrqviZb7G0K8tLulmRJh0JRuo2J+c7EKXKRi0n5LjLsEtLONLvZyLyRGVS3hghEVTrDcTYc7KQo3SaP2QFCa17L3377FG8f6iCqWRh50+e46/Jycp0WlDmXM7tgObVtQQLxJjYs20D9wmIy7E7kGsDAIIFYiAHsP3tbU8s4AK4em4VFxq0NOsdOtsjXoTTTxoLRmcl6ZI32UJzdjYlmvYrkOuojHVFUvfdki1Ds2Ka9KBV1fp4xNSVCstHAiCwbk/JdyRnJbsbnOWSyxRmweIyHJ7c1JkpgdFhe2cY147MlEA8EsSMs/cMfeHHbUbxRDVv5TXzurgWMznFgVID0WVx+STGv1bQS8Ku0v72MtbVXUepx4pKkNSDIt0mIAarBG+WdIz7iyXm35TkOynIcMux/CFAUsJgMWHquo06zMirbzpVjslLrqJt83ZMtKpLrqJsD0V61laqmE+xjHfXmw77UfGSH2cjoHHtq/NuUQhdjcp29mgbFyV02MoMMu4mWYGKJzvKqdgIRlayeNTPiAhRh//O/46+v7abRHwPneG7+wh3MHZnVvf1OcTN10aUMf6mKVr+PuG8bK1fXcEN5Fq40+f4OBBKIhRigNh3uJBjTUs1Wi8s9OGT01pBlUMBmMvRayFKQZmFsnpPrJ+akyieOdkTY2ZAIx9vrfOxoCNAZ7meyRY+mvSOdYdYf7FpHbcBtMTI2z5Fs2EtMtxjhsclkixNIt5m5eHg6RzojhGIaDb4o+1uCFKRZMZ/JtcLijArsfILfPriKquYgcVxM/uDd3D6nlCybscdVEwXHxEVcOvo59jb78cZC7Fm+kn0fGE+2O4MT7fcQFwYJxEIMUFuO+Ij3KJeYMzwdi7yoih4MioLd3HsddWGalclFLm6eohONa4RjKgfawuxo8FNxNNG4t7vB3+vNVp/rqIFDHWFWVbenRsxl2kyMz3cmTpGLEotEitKtMtkiSVHgomFpvLy7hVBMQ9N1Kur9zB6eniyJERcarX0TDz/wOBtqWgmrkDbjdj7/4YsoybRy7I+1Yi/n8nljeHp7E77OKOH9K1lRcTtTc9OxWOUxcKFTdP1Eo6eFEBeq9z9YwSt7WoipOgqw6+sXMybPedyTtBAnE1P1VMNeVNUJRuNUNYeSW/YCbK/3U9kUIKKe+OXCoCSXlCQb9qxGA7kuCxPznb1mJGe7LEP253RtTQe3PrKDRl8UgI/PLuCX7yvDI2UT54FOuKOJ9kAsUUZkTSfX48Tc8yqHFqazNVHaogFGazoejxOLse/td3F/Ky3eMKqmo2PE4ckhw24asj/vA4mcEAsxAGmazo46f2qqQEmGlWyXWZ50xWnpatrrmmyhY6E4w8acERmJ8W9xDW8kzt6mIDt6TLY40BY+brJFOK71GglX742ypynAi12TLYwGijOsTEqG5MmFLiblO0mzDY3JFpMKnL3KWnbUB4jG5Vzq/FCwZeRRkHGCmxhspOcUkH6Kn9HkyiLfdQbumjjnJBALMQDtbw3S0aPuc3KBS6ZLiDOmz3XUupURHjuXj84koibKLdqCMXY3BBIBuT6xca/O23uyhdrnZIsI2+r8WLcnJlvYzAZGeOxMKnCmapLH5zmxW4yDbrJFus1MaaaNo50R4prO7kY/wVgcHdlqJsT5JIFYiAFoW52faI/64alFbsxyPCzOov7WUZflOLhqXFaqaa/RF2VnatNeYrpFazDWa7JFV9NesMfnP9oZ4e1ab2o+stNipDzbwaRkmcXkAhflOY4B/8ZPUWBigYvNR3yJr0FUo7olRHGGDYs0JApx3kggFmIA2n7U3+tS9dRCNyZpqBPnmEFRsJmUXiUAhWlWJuQ7uXFSbiokH+4Is7M+UYtcUedjZ0MAb6T3ZIuuddQ9J1vUtodZeyC5jtpkIM1qZFyuk8ldIbnQRanHPuBGDU5JXtHpWsm9o97PnNIMZIvzmadpGr954AHGjBnDwssvx263n++7JC5QEoiFGIC21vlSgdigwKQCF2aDnC6J889oULAbjNh7raO2Mq3IzW3JddThqEpNW4gdXfOR6/3saQwQ6meyRdc66noFDrSFWVHdjtWoYDUZ8DjMTMhLhuRkUC5Iu7AnW0wqdGHt8QZ2e52fiKrhkp1mZ9w//vZ3XnvlVWbNnIlJJnmIE5BALMQAE1M1djUEUoF4RKYdj3NoNCSJgalrHbWjxxFoUYaN2cPSU9MtAhGVypYgO+r8yZXUfqpagkR7TLbQ+1hHXeeNUNkc5NW9ramSjjy3mYn53UtEJhe48DjNGC6QB8mEfCf2HjPDd9T7ifb4N4kz4/WlS3nqX//i45/8JFOmTsVklkkeon8SiIUYYKqaQ/giaupy85Qil8wfFgPOseuodWCYx8a8kZmp0OsNx9jTGOxRj+zjYHsE9SSTLeq8EXY1BHhhZ3NqssWwTCuTCrrqkd1MLHDitprOyxtJl8XEqCw7RzrDxFSdvU1B/MnH9AWS2Qe8fXv38rvf/JYlV13JoiWLcbndKPLFFScggViIAWbbUR+xHg11UwpdUj8sBryeky261lEXplkZmeVgUbknEZJVndZAjN0N3afI2+v8NPiiaD0nW2g6Ie34yRZbj/pT66jtZgOjsuxM6jpFLnQxNteJzXz2J1soyTKntw51ElNVwnGNyuYgwz3SWHcmtLW18dOf/JTS0lI+8MEP4vF4JAyLk5JALMQAs61H/TAkGuqkflgMRn1NtihMszAmx8E147NTJ8n13gg7GxJj3yrq/FTUB2gP9T3ZoqtpD+BIZ4S3ar1YjYm/w2kxMCbHwaQeS0RGZdnPymSLyYXOxOdN3p+KOj+XjcqUxrr3KBaL8atf/JKA3883vvkNCouKMMjzozgFEoiFGGCqWoK9Guom5DsHXJe9EKfLoCjYzAq2Y9ZRTyxwcVNyskU4rlLbHkk17VXU+9jVEMAXVfucbNG1jloBDrVHWFPTkQri6TYT4/IcqakWUwrcDMu0veemvUn5Lqym7s9R1RJMXvmRRPxePPT3f/DO5s1897//m9FlZRilkU6cIgnEQgwwRzujqZMvj8NMmu381EEKcaEwGhQcBiM9tx8XpduYXuxOrKOO64RiKvtbk/XIdQEq6vzsbQoQjh872UIjqpKabFHnjbC/NcSyyvbUOupsp5kJ+d3zkScXuch3W95V015xhq3XG9kGX7RXbbR491YsX85TTz7JJz79aabNmI7FYjnfd0kMIBKIhRhgGn0RtOQLZ77bckGPlxLifOmabOHsUYNQnGHl4uEZyXpkDX8kTmVzKBGSj/qoqPdT3RIipp1sskWUfc1BXu5aR20yUJhmYWLXOuoCF5MKXGQ6+l+nnu00YzEaUEgE8UZftFcplHh3Kisr+c39D7DkyiUsWrwIp9N5vu+SGGAkEAsxgHSG4gR7zGrNd1svmFFSQlzozEYDZiO4kk17um6lNNPO/FEZROI6kbhGZyjG7sZAqha5ot5Hbcexky36Xke9o97PczuasZgM2EwGSjNtTOwx+m18vhOXJXFFx2hQyHaaOdgeRtV0Gv1RVJm8dlra29v52Y9/QklJCR/88IeliU6cFgnEQgwgjf5or0ahPLcFaUoX4vQoCliSW/Dc1sSfFaRZGZntYPGY7nXULf4Yuxq76pETvzb6Y8dNtghqOsGeIbkzwuYjvtQpssNsYHS2nUn5iXpko0HBoIAKNPtjxDVJxO9WPB7n1/fdh9fbyVe/9jVpohOnTQKxEANIg7f3SdW7rVsUQpyYQQFb8oS3S1G6lbF5Tq4bn5MKyXXeCDvruwPyjno/7eFj1lFrOrFjJlsc7giz/mAnVpMBf0Qlnlw8ElU1nt/RzFVjPYzOdmCWd7qn5Oknn2LT25v41ne+Q1m5NNGJ0yeBWIgB5Nh5qxKIhTj7DIqC3ZyYXdylMN3K5AIXN3eto46pHGoP95hs4WdXQ4BAVKVnZfCx66h7+uGyA/x6TS0ZdhPj85yJRSKFiUUiJRkX9jrq86GqqopHHn6Ym2+5mekzpmO1Ws/3XRIDmARiIQaQBm/vkon8NEu/TTtCiLOnz3XU6TZmlqSlTpGDUZWqllAiJNf72VHnZ19zsNdWvZ7aQ3HaQ3HqvBGqW0Is3deWKrfIdZkZn+dMjX+bXOAidwi/IY5Go/z2/gcYPnw4V19zLW63+3zfJTHASSAWYgBp8EeOOSGWUyMhLhRd66h7TrYoybQxd0RGKiT7I3H2NgXZUe/nP3tb2XzYR/SYbro+11F3RtjdGOClHpMtitOsTCxwMrnAzeRCFxPznWTYzUNiDOMTj/+T6qoqfvjjH5FfkC9NdOI9k0AsxADS6DvmhNgtJ8RCXMiOXUet61ZKPXYWjs5kcqGLTz61h2Z/IvjOKHbjcZipbA5ypLN3v4Da12SLzgjb6v1YTc1Yk+uouyZbdJ0iT8h34bCc/XXU59LuXbv55+OP86GPfJix48djMkmUEe+d/BQJMYAkSiYSL5Km5NimoXrJVIiBqOc66tFZjl5r10dm2fnBVSNxWow0+aPsqg8kmvaS/zUfM9miax118Jh11JsOHzvZwpGsR06UXIzJdfZahz2QhMNhfvvAA5SPKWfJkiUyb1icMRKIhRhAGnxRuiYzZTvN0okuxACWl9Z7sU5nKIbHYSbXZaEwzcr4PBfXT+yebHGkM8zOhgDb6/xU1PnYWR+gMxLvex11tHsddW1HhHUHu9dRu61GxuZ0heREucUIj21APJ88+vAjHK6t5Uc/+ym5eXlSKiHOGAnEQgwgTf7uE+I8twWD1EsIMWBl2k3YTd3b6poDsVSZhNGgYDccP9liaqGbWyYnAnI4pnGgLcSO+kBqusXuJj/B6InXUSsKHGgLs3J/R2oddabdzPh8B5O7FokUuihMs11QPQrbt23nqSef5GMfv4vy8nIplRBnlPw0CTFAaJpORNVTL3SuQVYXKMRQY1AUbGYDipJYER2Kab1Oe4/V12SL4gwbs4elE1F7TLZoDqYmW1TU+alsDhJRT7aOOkJVS5DX9nZPtshzmZmYXEPdNd3ifJVpxWIx/vj73zNp8iQuv+IKHA7HOb8PYnCTQCzEABHXdfQer5ZmozIkusmFGMzMRgUleUYc7/GG9918vNloxEWyaQ8Ylmnj0pGZqdDrDcfZ1xTsrkeu83GgLUy81zrqPiZbeCPsagzwws5mbF2TLdJ7TLYocDGxwEm67exPtlj++jJqamr46S9+Tk5OjpRKiDNOArEQA0Rc7f1SaZQXBCEGPKNBoatmomdAPV0Kx0+2KEyzMjLLzuVlXSFZpy0YZXdjsmmvLkBFnY86X7T3ZAtNJ6T1nmxxtDPCtrrkZAuTgs1kYITH3usUeVye84xOtgiFQjz+2GPMX7CAUaNGSamEOCvkp0qIAeLYF8vEyZIQYiAzGbofx3Ht3Z8Qn4qeky26FKZbKM9xcvXY7FS5RYM3yq6G7lKLino/rcFYr1GPXZMtAsdMtnj7sBerMfF3OC0GyrIdTEqOfptc4KIsx3Haky1eeellWltbef/7309aWtppfx2EOBEJxEIMEMdeTjVdQM0uQojT0/NxHNd0zkoi7kOifjlRw9ylMM3KhHwnN0zKIRLTicQ1ajtC7GwIpDbt7Wzw442ofU+2oHuyxaH2CGsPdKRKLdJtJsbmJidbJBeJDPfYTvo85vV6efJf/2LJkiUUDyvBaDSe8PZCnC4JxEIMEMe+WBqNEoiFGOhMhu5eAFXTOTtnxKfGaFBwWIw4MII98WdFGVamFyfWUYfjGqGYxoHWxDrqrsa9PY2BRENg8vP0NdniqDfC/tYQy6vaU6fVWQ4T4/MTs5G7Si4K0npv33z+2eeIRCJc+77rZD2zOKskEAsxQBmkYEKIAa9nK8CJJkycL12TLXquox6WYePi4emEk017gWMmW2yv81PdEiR6zGSLY5v2jnbCvuYgr+5pTYXkApeFCQUuJhU4GemI889/PcXNN15PYVERBsOFPydZDFwSiIUYIIwG6JmBz0QDjhDi/IpreioIX0gzf08kNdnC2j3ZojTTxryRGUTiiVKLznCMvU3BVC3yjno/h9qPn2wRimnHNe3taAjw/A4Fz+H1qM0B/tZQwNbXDjOl0M3kAjcTCpykWU0yZUecURKIhRggejbfAMQ1rd/bCiEGhp4B0ZQawTawKIDFZMDSo2muSLcyKtvBonJPavxbiz/K7sZgKiBX1Ptp8EZR9d6TLYKaSjCqY923gZinnPoOA7vfaeSp7Ynxb3azgZEeGxO7logk11HbZTa7eA8kEAsxQJiOuVwYV89Z/40Q4izp2SxrUgbPbHFFAZvJgK1nSE63MjbPxbXjs1M1yQ3eCDsb/KlNezvqA7SFYpjbD2HxNdBZdiVRg5XIMZMtajvCbKj1ppr2XBYD5TnO5DrqRE3y6Cx7r5AuxIlIIBZigDAd00QnJRNCnAeRBrYufYFXlm9gR00D3riVjKIxTJt/LTe/7xJKM6y8m35X9ZgT4sHMoCjYzb3XURenW5lU4OKmSVqqJrm2PcwfHljDkeEjyB0zisqgBV9E7XUAkJpsEemebHGwPcKamuQ6apOBjJ6TLQoT0y2GZZ58soUYmiQQCzFAmI8rmTh3I5qEEBBrWM+DP/s1T62vpqkzSCQWR0PBWFPF7nfWsHzZDXzxO59jcXkm1lOcDtazhthkYMhd8k9NtjhmHfXv6vdy21WXce0ts1AsDva3djft7aj3s7cp2Kv2WKePddRKhOqWEMsquydb5DjNjM9z9lgk4iTPbR0w9dvi7JFALMQAYTAovU42QjFV8rAQ50poN0/+7Gc8snwvTYE41rxxzJw4ilxzJ7U7t7G7roWDbz3BL37oIO2Xn+KSQhfmU8hY4biWGrVmMQ7BRNyHjtYWWpoamTxxPMOy3VgsFkoyrVxSmpEKvf5InMrmYGo+ckW9n+rWEDG1d9Pe8ZMtIuxpCvDynhasyZKOgjQLE/K7l4hMKnCR6TAjGXlokUAsxACS5TTT6I+h6TpN/ijahTinSYhBR+Pwfx7kyXXVNAUMFF/xZb5x9/VMKUrDalCJdVaz/P9+zu9e3EXDpid48KXLGP/RKWQ7T/wS6w3HE/N7kw/jLKdZVrID+/btw2BQKC0txWw2A8evo9Z1K6UeO/NHZaZCckcozp6mQDIgJ5aJHO44drKFTijWex31kc4IFfUBntvRjM2kYDMaGO6xMTG/ux55fJ4Tt0y2GNQkEAsxgOS5LOxtCqLp0OSP9ao/FEKcJepR1i/fTL03jFLyfj7/5Vu5dGw+TlOyjMmTwfu/eg9Hq+/h8e2tvLNsLQduGkOG03XCF9lmf7RXWMt1WeTSPVBVWUlxcQkOhwOlnwTa9zpqGJ3jYMmYrFTTXrMvxp6m7lXUFfV+mnyx4ydbRFWCx6yj3nzYl/o7HBYDo7LsTMp3pVZSj8lxYJPJFoOGBGIhBpD8NCsGRQESsz7bg3GynBa5tCcGFc1/gLeWvs7qdZvZW9tIa2cILC4y8kYwdvolLL7uSqaXuLGcrAktdphNy7ZwJBBFPfEtUwyZY5l36ViybebuoBM/RM1BP9GYQs7UuUwvyuwOwwCKGUfudOZfVMzze9toranmUCjGJB1MJ7iLjf5orze1eW6LNHwB8Xgci8WC8i4XcRj6mmyRZmV8vpPrxuekmvbqOiPsagxQUedLTrbw0xGO0/N8IabpxKIq/p6TLdrDrD/YmQrJbouR8lwHk/K7mvZcjMy2J0pfxIAjgViIASTfbcFgAJIj1xp8EUZm25MhWYiBTqPtnSd44IFHWb2ngU5/iEgsngiNigFj1V52bF7Nf559hgV33cMXbplGvsPc7wmd1vQWT/7u96xv9BE7xYspxnF3UTp5BJk2c48XSDU1Hs1gsWDu6/GmWLBZzRgUBT0eI34Kf1+jr/cJcZ7bgmQpsFptRKMR9DMwa91oULAbek+2KEq3MqXQxU2TchInyTGNQ+3hXuuodzcG8B8z2SKq6kRVNbWOWgEOtIdZvb97skWm3cTYXGeyYS9RblGSIZMtBgIJxEIMIPluS68aw4ZUHbE82YqBL7jrn/zkB39i5Z4GfFGtd9OorhKPqsSjYYK+Lbx0/3fpjP+M//3gFHIcpj4fAfHmoxxubaWtLUD8FO+DyRs6fqShqZCifAumGp3WndvYH5hPXrq1d9Nc7ADbKuoJRVUMw4sotBpPOn6t0df7hDjXZZEaYsButxEMhs5aj0TXOupjJ1vMLElLlVoEoyr7W0LsaPCnGvcqm4OE4ieZbNEZoao5xLLKtlTTXo7Twvg8R68Zyblu+V5faCQQCzGA5Lt7l0c0eqNoGnCKI56EuGBFq3jhz4+ydl8iDOMcwfybP8B1C6cxOt+N4m+kestKnnviBTbX+gi117D6z79jypT7uH1KNo4+Xs3izc20x1RUwJA9nksmFpx0m5lxWBmZtmMCtnEYl1w6loe3tFC3/9/86S/jybr7GsZl2xKhN1zHhgd/w5NbmwnELIy+9FJGOu0nfYFt8sfoMRSBPKkhBqB8zBiamho5dPAgOTk5mEynHlVe/Pe/CfgDzJo9i9IRI075Y/taRz3cY2PuyHTCsUSJmi8SZ19ToPskucFPTWv4pJMtjnRE2NXo56XdyckWZgNFadbEZItCF5PyXUwscJJhl8kW55MEYiEGkDy3tVd5RIMv0qs5RIiBKrT1JV7cVEdnREM3l3DNN3/KV64aT0FmctuYOprR46Yya0oe//O1P7P+qJ9I80aeeWEL15YtwJ5mOSboarQ2thBWNcBA1uwPc8/XFlKYZjnh/VBMdtLSbMe8x7Qy+oY7uG75Hh57p4ntz/yEr+xaxsypZeSbvRzetZnNO2toaI9gGn4Dd948mSxn36fWPR17Qiw1xAljx41jzNixvPzSy4wZO5bMzMxT/tgZM2fyta/ew5//9CdKS0uZe+lc5s2fz+jRo1MTK06FQtdkCwNua+LPdN3KyCw7C8u611G3BWPsTa6j7jpJPuKN9Pq+qn1NtuiIsK3OzzMViVNkm9nA8EwbGTYTV47N4n3js8lPs0g53DkkgViIASTxBNn9+wZvDBk0IQa+GLvXrafWFyKug33SDXz48vGU5Li7m9JMBmyuDApn3MYtl71ExfNVtIfCHNn4FlX+S8h1W46Z+xunpamVmKqiY6BgRDn5ublku07vZc+ccwkf/85X6Pz+/bxY0cihbato2LMOk6ISi0SIxDVsw6/gM9+7m0WjPdhOYetcoz+SKs8wGhSynWYMEoixWCzcceedfP9/7+XpJ5/iw7d/BJfLdUofW1BQwEdu/wg/+N97eXvjRnZUVPDIw48wfPhwLpk7h8sum8+48ePeVTju0tdki6J0K2NynFw5tnuyRZMvyu7G5FSLZNNec6D3c3Vc04kfs476cEcYg6LwRk0HD2+q5/GPTKDUY5dRb+eIBGIhBpB8t7XXC2aDLyKziMXApzVSXdVAOJao/xk+/SKGp9v6rMFVzB6mThqJ4+UDdISiRI8c5HA4RhzoHXFiNDe1EVc1UDIoKMnBbHoPtUWKFc+E67jn/pHM+vczvLR8AztqGvGpFjJKpjF1/rXccvNipo/OJ91qOKWq/p4nxFkOExbTqX3cUDB79mw++elP8eDf/87u3bv47Oc+x+iyMozGE38PDQYDixYvZuNbG/n388/j9Xrxer20NDeze/cunnj8n5QUF3PxnEu4bP58JkyciNVqPe37aVAUbGYF2zHrqCcUOLl+Qvdki0TZRGI28qbaTrbXBYiqvZsGE6UXifKMTYe97GkMUJhu7RXAxdkjgViIASTLacJqPKapTo6IxUAXb6GxuSscWsktKsBm6q/kwEhGtgdrVzCKeekMqMfX0mstNLVESFRM5FMyzIb5RDPQToFicpA5bCpX3jWKObeFiESTq5tNFmwOF263A7NROaVQq+s6zT1micsM4t4sVivvu/56Ro4YyV/+78989r8+Q35+PhMnTmTS5MmUjynHYrGgaRqapqGqKqqmEQoGaWhowGKxYLXZCIVC6LpOPB7H5/Xh8/pobWlh3759rHtzHZ+7+27mzJ3znkLxsYwGBYfBiMPc/QPptpqo80bwheMc7ogc37h5jOIMK8M9NsyncKVBnBkSiIUYQAyKQo7TQoMvsa2uwRuRkgkxCGiYnFlkZSs49HQKsm0nHD+mqyrdMyhMmEyG4y8rx5toao2hqjqKvYCSPAsnOVw8NYoJmzsTm/vU61r70hFKbqlL/j7PbZX64WM4HA6mzZjOj376U/bu2cPePXvYt3cf//fnP+PzetH15NLrHr8ajAY8niyys7PR1L6nT+fl53Prbbdy5VVXUVhUhMVy4rry09XgjbB6fwfLKtvYeKiT1mAMf1QlFNX6vbLnshq5a1YBd84sYHS2Q2qIzyEJxEIMMAVpFnY3BtB0aPHHCMcTL6rytCkGLPMEPvLLf3BjNFHva/fk4rL0O12YjvaO1OVmQ3oOeY4+RpxFW2juiKNqYMgrpshuuqBe8OqPnUHskrXNfTGZTOTl5eHJzGT6jBlEIhEi4TBt7e1omobRYMBgNGI0GDEYFMwWC2azmddfW8q2rVvRewTP4pISbr3tNq686iry8vNwOp0Y3uXyj5Opbg6yan87yyrb2F7npz0UJxBVCcfUPg8v7CYDs4elsajcw8LRmeS5LXgcZtJtJrlicI5dSM8PQohTMDLLzur9HcQ0naimU9kckO50MbApVtJzC0g/ldtqHVRU1BCKxtFRcI6dzBjXsQ11oLY00hqJowLWgmEUWk3EGnex/s232FFTT3vYhMuTTVH5DOZeMpEC17kdebWnsXcN6QiPXS6Pn4DZYsFsseB2uwEoKCxE1/XUaueev8aiMVavWkkgEACgZNgwbr3tNpZcdSV5eWc2CGu6TkWdnxVVbSyvaqeyOUhnOE4gohJRNfo6CM6wm7i0NINF5R7mjUwnz23FbU3MRZbn8fNHArEQA8zkAlevJ81tR/1cPDxDnkjFEKDh3fYUz6xvwB/VwFjAZdddRr7TxrHxRm1sojWmoulGskvSOfDCz7jv+TfYVddBMBpH0xUUoxGzxcafCyZz1Se+wF1XjSP72BnEZ0lFnb/XQoeJBS5Z+fsunCjQrly5gsrKKgqLCrn11ttYfOUS8vLycJyhIByJa2yq7WR5ZTsrq9s41JGoDQ5ENWLqMQtlkgrTrMwflcHiMg8XDU/D47TgshixWwxyZeACIYFYiAFmarEbU4+TpG11/pM2aAgxYGkxwkEvLUf3s2vDUp598mU2HfUR1x2Mfv/dfOLyEtKtx4eccHMLHTENDZ3g23/nZ68fpanDT0Q99rHSSUf7Gv75wwMcbPoR//2RGeSfwgzh96qi3k9U7R65NiHfieU9Nv0JiMfjbHxrI5/6r08zf8GCRBB2ON5zEPaG46w7kKgHXlvTQb0vij+SGJvW3/NvWbaDhaMzWVzuYUqhiwy7CafFiN1slFFqFyAJxEIMMBPzXNhNBjqSv9921EdMlXV1YrBROfjkt/nWw1to8kWIx6NEQgF8vhCKZzxXfvDTfPJD8xmXbe9jPJtKa1MLUVUFNNoOVaFrVvImLuTSmeMoybYR66in+p032VBxFG8sir+1hjV//inFI3/LFy4rwd1vDfN7F41r7G3qLpkYkWkj026WBqoz5PN3fx6bzY7D6UiVUpyORl+ENfs7WLavjQ3JprhAVCUY1fpciGRUFCYXurhidCaLyj2U5ThIt5lwWo1YjX00fooLigRiIQYYh8VIeY6D5kCMeLKG2B9RybSb5QlXDCI60Y4GjtTW0uCPdf+x0cPYqTOZOXMSI7NdmPssFVJpam5NXb7WlVzmff67fPnmGZRkOrAYFXQ1TjR8F3teeoCf/H45+zsiRNp28cKDL7Nkyp1MzXGetRfIqpYg3rCaqi+dVODqNcdWnD6j0UhWdvZpf/z+1iCrqxJNcVvr/HSE4vhP0BRnNSnMLknnivJMrijzMCzDhttmxGkxYjbKXOmBRAKxEAOMosCUQhcba73ENZ1wXGdvY4CCNKs05YjBT+2kZv3z/HHXRta//4t87VOXMyrDesz1kRDNTZ3ENQ0wUXzV3Xz5Q5cxocCFqee7xvQMLvrQ1/lCbS33Pr2b1lCc9i2vsaryJsZmOHG9+2Vmp6Sizk+kR0Pd5EIXFnnsnhHv9kRY03V21vtZUdXO8so29jYH8YYTITgS77spLt1mYm5pOovKPVw2KoN8txWXNRGCpZdj4JJALMQANKXIlagjjid+v63Oz7xRmRKIxSBiZPgtP+Qfl3bg97XT0nCE/Ts38cbrq9h21EdboJI3H/kxYaODn356DoUuc4/TODeX3fMgT3w6gooBa2YRxdmO3mEYAAWzs4TLblnCmKUH2BTyEwtX8dZbtdw5JRuX+ey8RO6o9xPt0VA3Kd8l28jOoWhcY/NhL8ur2llV3cbBtjDeiIo/ovbbFJfvtjB/VAaLyjxcPDydLKcZl9WEw2yQ8WiDhARiIQagaYXuXpeKt9Ul6ojtctlVDBoKVs8wRmcWo2sa8XiMOQuu5qbbrudfP/0BD647gt9Xx6Z//pUXLxvPHVNzcKZe0QykFZTiLuj6VCfaHmfAUXYRU4oeYXuLn5ga4eC+agKxSeicnea6ivoAkXgidpkNCuPzHTJh4izzR+KsO9jJ8n1tvFHTTl1XU1xEJdZPU9yoLDsLk/XA04rcvZriJAMPPhKIhRiAxuU5cZiNdITi6CQa62TShBh0FAWDYgSDEaPJjNXmwJU2jzu/+EG27/sjG+r9xFq38NqKfdw0NgNnzxqHE4bgY/4aWykjiqyYdimg6gQb62iNqpRw5l8kQzGVypYAMS1xQjw6206aTer/z4ZmX5Q1NR0sr0w0xTUHYvgjcYIxLbUyuyeDkjitv7wsMRmiPNdJus2Ey2LE2tc2RDGoSCAWYgCymY2My3PS6E9su9rfGqIzFJfGOjH4GSxkTLiSBRMeZWuLn1g0TM22nbSGp5PjMh83j/iUKG4yMm3JS986esBPoJ9L5+/VvqYg/kjvhjoplzhzDrSFWFXVzvKqNrYc8aWa4kL9NcUZFWaWpHFFmYcryjwM99hwW424LEbMJmmKG0okEAsxQE0pdPLmwQ7imk5U1dndGKA4wyZ1xGLwsxQwZlQu1nVN+KIq0cYGmqJxynRO81K2AbOpx5vJs/iusqLenyqXgMSiHavMHz5tuq6zsyGQCsG7GwOJTXFRNbHWvo8QnGY1MqerKW5kJgVpFlxWEy6rNMUNZRKIhRigpibriMPJ32881MnC0ZmYjTKPWAwkGg3Lf8/9/95NRyiOoXgJX/zy+yjPsJ9gsraZjEw3JqMBUCEeJarxHk50NSKRKFpXerLasBlOveTi3dh82NtrQ92kQtlQ927FVJ3Nh72sqGpjRVV3U1wgqhKN932yn+eycNnIDBaVZ3JJaQbZTjMuqxGH2ShNcQKQQNw37Qgvfe8r/Gmjl9KP3M8vPzoWpzQrCUDrWMdvvvQzXj+iM/HT9/M/7x+F2/JufjYiNGx+ledfWsnbOw/S5NOweooYO3MB195yPRcNc3GqV08vLk3H3BUIgKWVbXxlwXAc7/pfJcT5pBNr3MOm9W/S4IthHDeGu6LqScOt2dyj4c1qw27sDrCxHY/zgz+t4rA3gmYoYNFXv8ktE7Nw9PeKp7XS0hpGSzyUsHhy8JiNp1d+cQKRuMbamg5CsUQgTreZGJvrlEB8CvyROBsOelle1caa/e3UeSP4kiE4dtz2wYSRHjsLRmeyuMzDtOJEU5zLKk1xom8SiI+j0br67/ztPzuoUebywbnF8mQlUgzuKVw+K4On336b1//6IAsv+S6LS5yYT+XJNdbAm3/5Mfc/tZGDLV6C4RhxDRRjNVW7NrPm9WXc+NXv8dkrRuA6hTdgpR47Y3MdvJ2cR7ztqJ8jHWHSbU7ZeCUGECMOhxUtHicWjaK2t9EZ1xL1nv3+GGt4O33JOcNg8mTjMRtSG+v0QB17tm5mT0sQ1VDM8KZwsum0n08Y2k91bZhYXAeM5A4bhtN85idMbKr10ujrPomeOyKdDLtJ6v770RKIsramg2WV7aw/0JFoiosmQnBfTXGKAhPznCwsS4TgcXku0pOTIWzSFCdOQgLxsQJbefzPr7Dfq1P6kdu5cpjzlE/sxBBgdDH+A3ey5OUKnt7/Cn9/8jpmf2E2WbaTvXiG2PXYj/jZQ6uobgmi2vMZN3syo3IUOg7uZOvuepqq1/P4j76PI+NXfGJmNraT1BWaDAqLyz1sO+onrqlEVY2VVe2UZTuwnVJCF+LC4CwsJMtspB5Qm6rZ1xRhTh5Y+quZUOvZvbeRSCyxsjx35EgyLN1ziA2edNy6hhaLEaeJ2lovsXgB9LOO2b99PVubQ0Q0wJDF+CkjsFvMZzwQL6tqwx9VU79fUp6Fs99/5NB0qC3E6v2JJRmbj/hoD8UJRFSC/TTFWYwKM4rdqaa4Uo+NNFsiBFukKU68CxKIe1E5+O+/89yudqKO2dx02zQyrUZ5QIlezNlzuPWGySz97VvsfvYhXrt+IreVpXGiygmt9hX+/vg6alqDGIdfyZe+83munZSP06KgRjuoXPpHfn7/K1TWbeTxv7zEgnEfYVy69aSXbK8em8Vv1x4mmNxs+5+9LXxsdoGsgRUDirVsEmMyrOxrC6JGdrPs5R3cOGoeDndfoVTDt+1Flu7sIBTTwZDL1FnlOHsEWGPRGEZ5LGxugpgWZPeaNzly43AyHI7j65KjB3ntqVXUesOogMEzjTlTMrH3E55Pl6bprKhsS5VLWE0K80dnDPnZ4bqus6cxmKoH3tUYoLNrXXI/TXEuS3dT3PxRiaY4t9WUXJcsr9ji9Egg7kFrW8ujj22gKaSTe+2tXD3CxRB/rhJ9URyMufEW5j65jVcOr+Of/9rE4m/MJ9fe3ymxypG1S9lU7yemDOfmr3yVWy8dRZaj681WFpm3foN7aqu45/E9tLy1lDUHb2LURCu2kxweTStyU5JhozMcQNN11h3opDUQI80ql2HFwKFkzOKyWbksO9JJOByi8plf80CJk6/eMp0CZ89QrOHd829+c9/TVDQFielgHjGfJdOzcFi7b6U4prFgbjEvH+wgFFTp3PQIv3tsNN/7+FyGpVm632jGGtjwt1/wjzdq8UY1wMyoq27kkjwX1jP83L+jwc+h9nBqXviskjTyXZYhWd4UV3XeOdLVFNfOgbYQ3rCK/wRNcTlOM/NGZrC43MOc0nSyXRZclsS6ZGmKE2eCBOIUlYMvP8rSAz5iynCuuGkuObZTOB2ONlKx/D8sXbWBHTX1tHgjmOzpZBWNZNyMeSy57nIm5dmRN62nKVTP1pWvsXztJnbXHKG5I4RqcuDOyKV0/DRmL7yWKy8qwfUuLo1pwSO8s/Rllq/fwu79DbT5wii2NDwFIxk/cz7X3nAF43NtJ/yemfIW8L75xaz8VyU1rzzFyg/N5ubR7n5OiVUOVh0gENdQcqdz6cxC0u09f7YUzM48Zl1xEUXPVrHXV03VgQjqeJ2T/eBYTAYuH51JZUuQcEwnEFV5o6adonSrzDYVA4fBw7wP38y0N3/L2iN+Yp37WPrAPex7fSazZ4xlWG4aplgn9ZVb2bhxO9VHWvDHNDAVsuiuDzEzz9W7jl9xM+PW27h49SGW7e8gEq5jwz++y+c3X8ScWeMZlmVH9dax7+032VBRTX17BFUHy/Cr+eitM8h1nflyiZXHlEssLvcMqXKJYFRlw6FOlle2sbq6naOn0BRXmmljQXJT3MzitB5NcYYh+UZCnF0SiLv43+bZp7fQFlExjbmCa6aknfTSS+Tgcv7yy9/z/KZa2nwBwtE4qqajKAaM+3aydcMKXnrmGa7+zDf4/HVjSJN6pndBo3PHs/z2vn+wfHcDnf4QkViMuKontlcZTOze/jarX3yWZxfeydfuuY2pOScOsaDRUfEMv/nVg6zcVU9HIEQk+T1DMWDct5uKjat49d8vc9s93+bjlxXj6C9UGtKYee0CSv99gF0t63j6pd1c+fmZePo50lVjcXRdB4MFm8XQR2+Pgtluw2RQUPQ4sTh9Xirsy9XjsnhwUz3hWOJk5T97WrlpUq4EYjGAGHCOu5Uvf6Gapp+/yJ62MKH2Ova9vZTaitWYTQbQNeLREKFQDFXXwZjNrI9/m89fXYbnuMMLBfvI6/nClw/Q9JMn2FIXIOJtoGrjaxypWJWYzqLFiARDhOOJJRnGzBnc/rXPsKTcg+0snGC8XtlOMBmIDQpcUebBPsgDcWswxtr9ifnA6w500uQ/eVPc+Dwnl49ObIrraopzSVOcOAckEAOg0brmOZbW+IlpJsbOX0K503yCGZgQO7yU+779U17YdoSOUO8RQbquokVCxCIh/N71PPWTb+JT7+N7N4zGKSHllIT3PsG93/4Dayob8UWPuYSm66haFDUeJRzw4X3pN3ynM84vfvoRJmZY+w3FgV3/5Aff+xOr9zb08TlV4tEQ/mgIv28V/7g3iuXXv+DOaR6sfX5CBcfExVw64l9UVnSy75VX2PrRScy3Oji+F85IYXEBZuMR9JYdbKkOMjfTgbnXoy/GwS0VNETiaIbhFBWZMZ7ii/LcEYmZmt5IHF2HVdXt+CNx3Cdt9BPiAmJKp/y6e/hJ2nAe/MtjvF7RSCAWJhALH3tD0kdfyg13fpwPXjWdkZ5+3gibXJRe/nl+kj6MRx98jJfe3E97pI/PZ7CTP/1q7vjsJ7nh4r7C9Xt3oDXE3sZA6iR0Ur6L4Zn2QbkE4nBHmNXV3U1xbcFECA5G+26KMxsUpqea4jIZkWUnLbkkQ5rixLkkgRhAa2T1q+tojKjoxpHMnjey/5NBAPUQL/7617yw9TAdYQ3dksf0Gz7MrUtmUV7gJNK0n60rnuHJFzZyOBDF37SbVx74NRPH/4rbxjilLvlkYtU899t/8EZlY6KuT3EycuGtfODGK5g5OhtTuIVDO9fx2r+eYvm+dqLBNg6s+gsPPDWdBz42iXRrH29l/Ft45Jd/ZfXeBrxRDcVRymW33c7Ni6YzMstEoKGKd1Y8zRPPbaYuGMF7ZB0P/fklLvv1hyhP67u5TbGPYe6sYh7f7aWzdgX/2fBpLrnGjum4CQ9GSufNY8w/trOppYrnf/N/TLj38ywpT8dsUIAwR9f+nfsf3057OI5lzDwuG2U75Z8Tp8XIZSMzONIZIRLXaA3G2Fjr5drxFhkZKAYQBZMjhzELP8q3pizhQzve4Z2KSg7VteCN6Fic6aRnFzJmykymjC0hN9tDusNywnmyRnsGw2bfxBfKF3Drgd1UbK2g8kgz7Z1B4gYHGQWljJs2mxkTSinIycRpMZ6VU8iV1e14I90HJ1eUe3D19Tw1AOm6zt6mIKuqEyfBOxuSTXGROKF+muKcFgMXD09nUZmHBaMyKUy34rYlToKlKU6cLxKIAe3oKpZtaieq6hiKZnJxueMEo9Y02lb8nX+sOkhnWEM35DL/K/fxvZsnkZ/hxGoyoJWXM37axVw04Wd888evciAQJ3j0DR55YgOLv7uQHJlccULBzc/xzMY6fLFEk8uIG7/Hz7+6iNE56TisJhRtFKPHTGL2xZPJ+cZ3eGJHB9FIE5uefp7N7x/D/Bz7Mae0Kgdf+gfPbKnHF9XAVMxV3/4FX7t6LHnpDqwmBW3UaMZOncXEjK/x1b+9Q1s4QvOGF3m96kZKp/bT3KY4mDBnGjn/qsTnbeTNZRtpW/Q+7GbLcd9f65ibuOv6Zex7bAetW/7Fj+6uYOnsqYzOM9FxcAeb395JTYOPmHkEN3/yViZm2Po4ae7fVWOzeHZHM5Hk/NbX9raxuDyr/7FVQlyQFIxWN1kFLjI8RZRfHCEWi6PqoBiMGI1mrDYbVovplBcrGCxOMnKdpHlyGT7hYiIxFVXV0BUDRpMZq82O3XJ2m1CX7WtNlUtAon7Y8a4W+lxY4prO1iM+VlS1sbK6jf0tYTojifFokX6a4rIcJuaNzGRReSZzSzPIcVlwW6UpTlw4JBCj0fzWm1R442i6gnPMZMa7TvBkq9Wx8vnl1PpjaCi4L7qTL9w8nWE5jtRlO4PFhstSwMTrv8ynN27j3lcOE4qHOLT0JTZ89lKuzTe+q7AztITZtnwVh/xRNB0MmfO4/ZNLGFeUia3rm2I0Y3WmYx19OR+/fR4r/vc1jgZihA+9wdpdX2TOPDumnj/Z0d28+sLbNAXi6BjIXfgp/uuaiRR7upsdjRY7Lksxsz94AzOe2cnKxiDx4D42b23iYxPTsPV50qrgnDiZcuezHPJFaX97LVs6riLPYTl+UYc5lzmf+W++3Pm//OalPbTUbGFF3W7WmhS0aJhQJIZuL2XxF/6Hzy0qxf0uLyNcPtqDy2LEF46jA0v3tfDD6IhBcwolhhoFo9WOy2o/Y5/RYLJid1k5c5/x1DT5omw+4iOiJsatjfTYGJvrTG6ZHDiCUZWNtYnJEKuq2znSGcEXToxHi6t6nyF4WIaVBaOSTXElbjIdickQDos0xYkLjwRirZN3NlTgi6voGBg2fgJuY/91S1rjOla+kzhNRslg9nXXMDqz7ykSJtdwFt18OX9f8TjV/hjxlrdZt9XPlUusmAZAIo7Vv8UzT66gJlrMgg/dxkVF9rO/pCR2iB07G4nENUDBNW0Blw1zYe3rHYrBSsFlc5ngWEFDMEY8Vs/uXXVE52Ri73FHo7tXsKrKl/ieGUu54gOLGJHeV92hgjlnLKPzLKxpDhJXI9TV1hNTR0I/E4GVjAmMG2ZlZVOQWOsm1lcEWJTrwHxcIjZgy57Mjd/+LaMvfo6nX1zFpp0HafarWDOGMX3GfK79wM0smjaKvLQTXwbuS5bTzCXD03lpdzNRVedIZ5QVVe3cPDkXi9StC3HePLejibZgLFU6sLAsk7SzUKd8NrQHY6yt6Ug2xXXQ6I/hT06GiPfVFAeMzXVweVkmi8o8TMh3kWE34bQasZvOTjmKEGeKBOJ4FRW7OxMPbkMmo8sLsZwgjYR3b2ePL55oDrCUMX1mFpZ+a54MpE2dwxTPUxwIxNDUNvbsOoS2yMMJdpJeIIJsfPjn/Omp/XTGzLwVHs4j37iUTNtZ/pHRGmloipHYyGqgsHwsmeb+XzwMacMo8pgwtkJcj9Pa2Jpc59oVAlUObdrM4VAMDTAOn8sVkzL6aZQDLOXc9D8PML0jhqorWAvGkXaiU1bTMEaVujFt7YBoCzsrDhBZkIXD3MfHKCYcWaVMv/ZTjLrsQ4TCMeKajsFoxmJzkpaeht1yek0kigK3Tc1hWVUbUTUxOeOhTfVcMy5bArEQ50lM1XhiSyO+SKJcQlHgpkm5F/SVm6OdEVbvb2fZvlY2H/bRmmqK01Irp3syGRSmF7m4PLkpblSWnTSbNMWJgWfIB2KtYQ/7GpMBzJhLUbENQ7+BWKW+ugZv8vKQIb2Y4VnmE57mKc4yykrMGI4Caowj+w+gqVPo78TxgqF1cKiyljavj3AcaioP4I3PIYOzHOV1P/5gVw2agYycXEyGE3ytDDZsqYH8OqFAEE1PfH8UAM3L3p01ieYODKSPnUq5y9z/eDbFScmUSyjUuj6/6SRNHlaGleRjNhwFYtRW7KI1NpV0u7G/M2VM9jSy7Gkn+Jyn5+qx2QzPPMSuhsSSjjdqOtjd6Gf2sHSp0RPiPFhZ3U5lSzB1mnrRsDQmF7guqHIJXdepbA6xqrqNZZXt7Gzw03GSpjiHOdEUd0VZJgtHeyhKt+K2GXFZTvZ8KcSFa8gH4viB/RyKaGgAlhwK8k7UXKHS3tZJPPkMoTjTcRuVE18GMuaQm2VO3kYnfLQWXdeOv51axRPf/F+erw4Q08CYfw3fue8upqRZjh//pjWy/Off4+9vNxNRwTL8Or7xgzuYkmE5cwtA9DjxmEZXYZgWjdHP7PQzTEu8OdEBFKw260kCeJhItOuOKVgsFhSU7o9Rj3LwSCg589JIyZixOI0nulypYDT18TXvl5GC4nzMRgMKKuGDVRyKqJRy7t/yuG0mbpuSy09bDxFMrj197J1GJhW4L+gTKSEGq0c319MRiqd+/+Hp+WQ6zvzSj3dL1XS2HfWlNsVVt4bwhuP4T9AU53GYmDeiuyku123BlWyKG4zj48TQM8QDsYa3oR6fmngCMGTkkWsznODEVycQDJF6ujilgigjVqspGdF0tM72vjcuGIoYVxDhvpd344tqKFURllbcxoRLLBh7ZZkYh1+6n98+u47K9gi6fQwf+czljHaZBsc2PPMM7vjpr1kciaNhJHdSBtYT1Ftr/kYaO5IlLChk5eVi7nmiHKunrqsEQ3FSUJiF6ZgvlKaqYOzvRPdkFGyZGbgMBpoBrfUoR/0aajbnpXHyozMK+OP6o4SiiRFPT29v5GsLhuG02KV+T4hzaE9jgHUHO1PNdMUZVq4c4+m7nOocCMc03jrU2aspzhuOpzbF9RWCi3s0xc0qduNxJEKwNMWJwWiIB2KVpsbW7hNfhxvXSVKMzWJOBSct4MOv9f1E0i1OOBKj61aa39t3IFbsjL12MeMf3cXb4Thq6AArX9/Gp2dehrVHIo7uf44H/riU6rYwcd3N9Du+zl3zSt71VIILljGP8fMWMDb5W4PJcsIReL6tm9kTSIxlwpDL6LF5vS7Zaa31NAcTo8gwZpKdY8Kg6Pj2r+Xl519m1aZ9HGnxo1ndZOaNZNLF87nyuiVMKTj1BkIlPQO3UcEAqPEm6htjaMPgXRwznzHFmVauGuvhn1sSjYktwRjP72zis3NKsA+WnxEhBoB/bW2kNdDdTHfL5FxyXdZz+sa0Ixhn7YF2VlS18WZNJ43+aGpdcn9NcWNyHSxMrkuelJ/cFCdNcWIIGOKBWMfv9acaBRSbDZtyohpZE5lZmcl3xjp65xGOdKjoJ+qRU49S1xBPbejRYxHoM0Ir2EZezZUzHmTL6mZUNcqR1cvY8oVLWGhNjmkL7eFf9/2FVQc6iWoK2fM/x9fumE2h6/xfgjtzDJit1lO7aXQ/Lz+5hoZkw5wh/yIum+TC3ONNjeb14u86/VBcpKWpHF5xP7/+zfNsPdyGLxQhFtfAYMBQvY/dW97gtRdf4Ya7v8F/LRqJ6xRCpMFpx951WUEL4PMn1zSfh++KUVH4+KwCnk/OJNZ1eOjteu6cWSiBWIhzpCMY5/kdTQSiidNhu8nAB6bknZPSpbrOCGuS65I31noTm+IiKoH+muIUhanJprhFZZmMynaQbktMhrBKU5wYQoZ8IA5FonRV9CpWG7YTZgYjReUjSTduxY+GHqtk29Z2PjTc0SuE9aTVv8PWAxHUrr8kFu87DwNYill07Wz+sv416kNxYnVrWPZ2J/OutGIyBdj+0C958M3D+KI65pJr+fLXbmJyrmNwlEq8W1on2x++j4c2NhKK64CdCTfcwqys3gsttJCfYOoU34Ze+Xd++H/PsbW2jbCaCK2KArqmoUbDBKJhAr43eOyHnUQNv+RLl5fgOG6EWm+K2YKZZPzVw4SCep8XAc6VWcPSmV7k4o2axPSUvU1B3tjfwbUTsk8wEUUIcaa8sKuZo95oKoBeOTaLkVlnb1VzZVOQVfvbWF7ZTkV9sikuqhKKqf02xc0ens6iskwWjvJQnGFNLMmwGpP9EEIMPUM+EMei0e4nDKMJY8+GrD44plzElMx/0xCOE9c62PD8qxxY8jHGpVn6qEENUPHci2z1xnrscD9RUjKSu+A6Ls1fyfMH48Tijby5dANtl1+DY/Pf+NVjb1Pvj6Hby7nlG1/iqjFZfc/nHew0P3ue/DE/+Ps6DnsTC1Ls427jsx+YROaxWwBDESJd32C9kVUPP8OBw0E8M27ltpsXc/H4YXjMYVoO7mDdq0/y5NLdtEUi+Oq38tQDf2P6xG9yeaHz+EUbPZl71m9r3W9+zhOrycDtMwrYdNiHL6IS03QeeaeOK8ozsRiH+ENeiLNM1TT++U4Dvkh3M91HZ+STbj9zjz1V09le52NldTsrKtuobDl5U1ym3cSlIzJYVO5h3sgMcl3SFCdET0P81VHBZDan6qL0eBy158iuvj4iax7XzCtg1bMHicc1Ojc/xH1/LeeHn5tHkb1nGAtQ88qv+cUTO+iIdu+w50QjxABD5iVct3AYrz5aSSym0rJhGev2Wam870m2NQSJk8bUj32TT88fTvppzqwd0LROdjzxI+79w1J2NwaJ62DMmct/ffsTXFLk4riqADVRP6wDqPVUV0H2/K/z8+/cwISCTJw2MyZFZ/iI0YydeQnThn2P7/59E82hGL6ql3j8pVu5+K4JpFtP8H2LxoilBl2YMVvO/5Tp90/K4ecrD1HVEkTTYdm+dqpbQkwpdMkINiHOojcPdLKrMUA8OZZnaqGbmSVp73keeCSusfFQJyuq2lld3UZtRwRvRMUfiffbFFeUZmX+qAyuKPcwuySNLKcZl9WEU5rihDjOEA/EYLdau092Yz2CTX8MHi79+MeYs/anrKoPo0Ya2fjwd/lMxaUsmDuJETl2VG8j1VvXsnbDLg61mJhy8ST2btpNMK6C0XTitKS4mfq+RYx+poaKWBSt9U3++t09tFQ1EVIVsi/7LF+74yIK3YOpbvgUaR1sffhefvCXFextCBDTdYyemdx173f54KxCXH0d42oq3Qe2cVTrbD7wmeuZUpqLM3Wsq2CyOki3jmDuxz7HDW/ezSM7OonEO9n2+kpqPljGZKut3x45PRwh2tU2qViw2ZRTnEBy9qTbzdw8OYf73zhMKKYRiKk8+k49Y3JH4bTICDYhzpaHNtXRHoqlAuqHp+XhOc1Ra52hOOsOdrC8so21NR2ppjh/pO+mOIDyHAcLRyXGo00qcJORbIpzmKUpTogTGeKB2Eh6uru7SS7kP4WpEQaco9/PPd+qovF/n2RXR4yot57K9S9xdPtyLCYFXY0TDQUIhiH7si/zmUu38I0tCsE4GKx2TpKIsY+7jiWTHmfPW1Eiqo9De/2oqoa55Fq+8LWbmDIU64a1Vjb97V5+9PdV7GsKEtd1zHlz+OS9/80d88vIsvczW9jQ+xTdOmE+V5RnYu/zC6hgyZrO1QvKeHrvViKqSqhyCzvaooxPs9HfLH09HCKSKkR3k55meterl880BbhzZiF/21hPKBYF4JHNDdw5s4BJhS6M8sooxBm37kAHK6s7CMcTTwi5LjPXTcjGYTn10+EGX4Q11Yl1yRsPddIajOOLxAlGNdQ+CoKNisKUIheXj06sSx6d7UhMhrAYsZqH4FVEIU7TkA/E+UV5WBQDoKF5O+hQT1zlm/gwNyMXf5mf2wv4828eZOnuViKxEL6OUPdtTBmMveFuvvWVGylZs5muz6o4nCc9PVRsI7jq6pk8tGUVzaE4qqqDrYybvvZFrhmTje0007DavJnnHn2RTQfbiag6Jyx11YPU7gsSS95I3f8CP/7aNhwnueynKGbcxdN53x23MrPAdmZm8WpNbPjj//Djh9dS3ZIok7APv5IvfP/r3HxRKZ7+wjCAITGhI/GWx0Bu2VhyLCe4vWJn1KQxeMwVeMMqWugg1QcjqMPod9OG7vMT6LpkacoiN9eEcgEMdBiZbeeGCdk88k4DkbhGezDGb9Ye5rfvH4NbFnUIcUZpus5v3jhMo6+7L+WjMwooTLOetDyhuiXI6up2llW2s73el9wUl2iK6+sg2GZSuGhYOleUZ7JglIeSDBtpNiMuaYoT4rQN8UCsYC8pJsus0B4BzddKWzi5qvIkzyhGexajL/so35mwiA9tW8/6TZUcbmrDr9nxFIxk2oLLuXjccPKzbOz3+bpHu7kzTuFyuglXbhYug0Jz8k8sY6/k5kuHvYe64ShbH/s5v39sL23BWJ9Psr3pqLHu7XRaexUbVtec/O9WFIzmtezSS/nHVy7BY3uPP2KxBtb+/nv85PH11LSGUHUD7vG38I3//TxXTy0m3XqSr4fd1qPx0EBaVhZm5UQfo2DNz8djMnAIQOukvV1D1/r7odDwNzXi05LLXTILyLed7pKPM8tkUPjK/GG8sqeFem8UHXimoomPzSpg7ogMaaQR4gx6dU8r6w52Eo13L+L42KwC3Lbj33xquk5FnT/RFFfVRmVzkM5kU1w41ndTXIbNxNwR6Swqy2LeyHTy3BZc1kQ5hDyWhXjvhnggBsvIMYy0G9gfAGINHD0aR8/nlLqiDFY32YUuMrKKGHNJhFhcRUPBaLJidzmxmQ0oRGlq6l7+YcnNRzlJINaa3uAvf1lJfTieemKM1VSwozXOpExO83K8TrijlQ5fgNBJC6X7ulNxoj26pk8oHKW1PXwKofskYkdZ9cD3+Nm/NnKwLYSqG8me9TG+89+fYOHYPFyn8ObAkObGZeieHGI2m0/69VNsViypTkuVePxE/xCVxvpmYslth5bSUYywGS+YkpbyHAcfnVHAb99M1BL7Iyq/Wl3L1CI36e/1zYoQAkg0vP127WGaA9HUc/Zn5xQz3GNLnQ5H4hqbahNNcauq2znUEcYbTtQDdz1/HKvAbWH+6AwWlXm4aFg6HqcZt9WEw2KQsichzrAh/4qopE9m0ggLK1sjqGoDtYfDaNNc7yJ1KpisTtKszr7/Z62NI0c6UTUdMOApLEI50aQJ9Qj/eeDXPL+zJTknN0H3vcN/lh3gptIJmN9FPVo3C1Nvv4e7/M+x+VCixu1kG/Zaa/ZS50ssFVHcxYwbkYX5JF8XxWDGVTSdGz46g7T30rylNbP+T/fysyfe4mB7GFW3UHT53fzPNz/IJaOycZxiLYYhM4u0HpcQNbXvuZw96bEYqZYYgx2H03CCQ/0IR442E9M0wEhh+VgyzRfGCTGA0aBw96XFPFvRRE1bCE2H5VVtrK5u55px2b22+gkhTs9T2xrZVucjlnzOHp/r4LYpuWg6/GdPKyuqEk1x9b7ISZviRmfbE/XA5R4mS1OcEOfMkA/EmIuZNrUI89ZKolqA/fsOENGysJ2pKqxoJZUHomgagIXho0ox9BuII1Q/fR9/eHUf7RENQ+Fc5qZvY31lgLgaZNd/XmPvR8qZbrGexlZgBdfIK/j4d2bxwZ5j4Pqj1vHMPZ/gz5s7iahgHHUj3/3lLZQ4LSd5UlYwmO2kZaS9h7AV5eDzv+Tnj61PhGEcjLrx69z75euZVpL5rmqoDWklFGcZMbQBmo7f602d1vdHa22jM941NSIdj8eE0t8bgdghqvb7EiOWDB7GTxuF3XRh1ecWplv59CVFfP/1AwSiKqGYxi9WHeLSERlkOc3n++4JMaB1hOL8af0R2oPdV9CmFLn54bIDbD3iozWYWJIRiKrJg5HejIrC5AIXC8sSTXFlOYlNcW6rNMUJcS5JIMbG+HkXUfj4fqpjMY7u2klbfBpp/V2O1+pY98QLbG2OoOoG0qfcyAcvK8HWT7NZdO8mtrcma3GNpUyYlImhn0AX2PEo9/15FQc6o2imYVz/5W9xV+A37P3FappDcUJVS/nPto8zeZ4V4+lkLqONtCwbaadyWzVGmqW71ECxuMnJL6DAbTnrT9Ba2xoe/vtK9reEUHUzw679Bj+850amFqVhebf1IuYRjCy2YtzvA02l+chhwtosdPprrNNoOnCQ9njiTYPiHkXZMEu/Eya0jr3sO5zYRKikT+HiqWn9bi08XwyKwsdnF/D4lgZ21gdQdZ3Nh338e2czH5mRj/U9zkcVYih7aFMde5uCvU58X93TSlzT+22Ks5oUZpckmuIWjvYwTJrihDjv5JUQBefUhczON2NSILxnKzt8Kmp/h4h6iMpl/+TRhx7i4Qcf5NFlewnF+5vXEGbH8rXUhuNogHH4RVwy0trn5AWt/S3+/vOHeOuIj5huYcSNX+Yzi8sYe9VVzMo0J2pSI7WsfPVtOmLxk5/wDlgarev+w5paLxFNx1h8DXd/4Tomn04YBjBmMWniMKzJU1v/zs1U+OP0WxastfDO25UEY4lAbCufwkSXud9pGaGd29kbjKHqCu5plzIzy3JmJmucYR6nhS9eWpIa/xRVNX69ppa2YGwQ/ywJcXbouk5FnY8fLTvAr9ccpjOs9vrfO8NxAtHeYTjdZuLqsVn86voy1t49k8dvn8CX5g1jTmk6pR4bHocZi4RhIc4bCcSA4prO1QuHYzEZ0Dq2sH6rv89LWwAYcynIhqDfh9fbSd3WbVRHVNQ+bho78G8efqmaQEwDzJRdfiXjXX00dWlNrP7DfTy5pYFAXMdadgtf+szllKZbMefN58o5OVhMChCjYfWrrG+O9h/oBjw/W998h9ZIHB0jpYtuYu6w9PewotrMqAVzGWEzYQS0xjd47rWDhGN9v4kJ732JFze1EonroLiZvngBRXZzPw+UMDs3bqElEkczeLhoyTzyrf3d9vxSgFun5DK10JXqSN/XHOTxdxr6/VoIIbpF4xrrD3Twg9cPcPmftnDjgxX8ek0tRzvDqSlCx8p3W/jAlFz+eutY1t49g799YByfvKiQ6UVuSjJsZNhNMiFCiAvEhfjafe4pLqa8bzFj7CYMahNvr91OoN9TXxfT5kwjw5S45B6r+Td/eWIHbZHedbla2xYe++XfWFcXIq6DwTOHW24ah9t87KX6GLUv3c9vnt9Fc0hFd4zjtns+xWXD0rAYAIOHS66aS77FhALEW9bxyur61GifQSdaTcXuzkRNruJm1PgyXMd9zd4NBdv467h2embiTYXaylt/+Rl/feMQvmO+hrGGN/jLLx9lS0uYuA6mkiXcsqgYx3H7oJMiu1i/sZ5IXMOQfxnXzM3F1t9tLwBum4l7FgxPbaqLazq/e/MwdZ1nYCKIEIOQLxJn6d5WvvFSFfP+sJkPPbaL+9+oZd2BTg60hWkPxY977IzKsvOJiwr510cnsvpzM/jN+8fwoen5TMh3UZhmJc1mkvXpQlyApIYYAAX72Bu4ftYT7FrdQt2a19jYcSmLc419XP5WyFn4Aa4Z/QaP7PYSizay/s/38NktlzJnRjmFaSbCzdVsXrOat3cfxhvTwJDBrDs/yzUj3ByblyKVT/Pr379GVXsEDQeTPnwPd80txp1aQ2wg46JruKzkJY5UxohqHWx+ZTkHb7yLcWbLoHtHo/kPcqgxWXOt+1h334e44U/GUx76oeRdy71//ByzM7tXLSvWkVz/6VtYuuOvbGmJEKrfyKPf+wxbLrqUiyaVkmNT6azbw8Y166jY34A/poG5iCWfvYu5hU76K7ENbV/J2kNBYqqVcdfdzOzsM7SI5CxaMsbD/FEZ/GdvKzFV50hnhJ+sOMQDN5bLsg4hgGZ/lDdqOlhW2caGg520BGP4I/03xXWZUezmO1eUMrnQRbrNhMtqSo7eFEIMBBKIu1iHc/UHF/HYW09TU/8Gr73ZzIIbijD1kXAMGbO46+sfZefX/srmliiRjsPsWPMC+9+2YjYoaPEIoWAwedndQfkt3+KbH5pMlu2Yk07/dh79+V9Yc7CTqAbu6R/jK3ddRKHL1Ot2imsaVy8YybM1O4lGNQIVr7K88kOUTbXwXiabXYj05kaaY8nlKKgEmg4ReBcfb4g0EzxupqeJzOl38a0vHubb971KdWcUX0M17yytY/caMyYDqLEwwUCYmKaDMZuL/ut/+eJVo8nod9axj82vraI2EEX3LOCmGyeQYTNd8C9+drORry8czrqDnbQGEgtantrWyKLyTG6elItFGuzEEHSgNcTq/e2sqGpny1Ef7ckQHOynKc6oKL3WKGfYTfzyfWVcPDwN23u6oiWEOF/k1S/FiGfOh7hxSjomWnjzuf9wINkMdxzFSt7Fn+RHv/waN0wvwG4ENRLE19FOW1sbHd4AkbiOJWci1371V9x3z7WMy7H1XtagtfPWX37BoxuP4o/pKBmz+Ng9H2FGvvP4U0bFwfhrFlJmN2EA9NA+lv6ngkC8r8rlgU31+wh2rUE+gxSLhwk3fYdf/vTzXDMlD7tRJxb24+1op62tnU5fiJimYC+6mA/fez8/vOtSRmRY+z2Z1hpX8uKqIwRjZspu+AiLh7s4rfHQ58HskjQ+ObsQe/JyhT+qcu9rNRxq778WUojBRNd1dtT5+e3aw9zw9+1c+ZdtfOuV/Ty3o4m9TQEafFH8xzTFua1Grhrj4Yvzio+7mvL1BcOYXuzGLmFYiAFL0XV5BewWo2nZ97njy09Ro43gjj8+ztcvy8Laz5g0LeqnvaWeAxWb2LR1L4ebOvDHTTjScxg+diozZ02ktCAXj9vax+YylWBzHU2+aOJJ1+ggqzCv/3FvsQ7qjrallnWY0vIpynacvW1Fai0Pf+wGfrm+g7AK5tnf5pW/f4wRZ3nsmh5u5Wh9J9HTLWo1pZFfnI3dqPR5P9Wwl/a2Jg7t3Mw72/ZxqKEVX9SIMzOXkgmzmDNrHCX5uWQ6TrTRLsa+v3+ST/5qPU1pi/nBwz/m/WWZAyYQAzT5orz/oe28XesjrukYFYUPT8/jDzePwW2VC0di8ImpOpsPe1lZ3caqqnYOtIXpjCTWJUf7WVSU57Zw2YgMrijP5OJh6bhtRr7w/D5WVHUQSfYgLCrz8NfbxjIs036aW0SFEBcCeeXrxUzO3Dv4yJwV/GzVAV7952t8YPYHGOXse3KAweIiq3A06VlFjLk4TCyuouoKBqMJi9WO3dH3iLUEI46cEkpzTvWuZVBYmnFa/6rTo/RewGHoO2Ce8b/VlkXxiKyz9vmNtjSyC91kZhVSflGEWCze/T2zOXDYLSddu6y1v8nTz++kLeJkxofuZMGwtONqwy90OW4LP756NLc9soPmQAxV13luRzOLyz3cNjVPZhOLQSEQUVl/sJMVVW2s2Z/YFOcNJxZlxPqZrTnCY2PB6MSSjGlFbjId5uSmOAN/WneETYd9qabmLIeJ/15cSlG6TcKwEAOcBOJjKI6RXP9fH+A/7/yJLesf4bF1V/DtK/JPsB1NwWR14LY6zun9POuMGeTnuzEYOkFVSM/Lw9nfdooBR8F42t+zGAdefoLlB32Yxt/Bp24ef3xt+ACgAHNK0/nMnCJ+tbqWYEwjEFX5/usHmD0sjbIcBwbZEysGoJZAoiluRWU76w920BKIJdYl99MUpygwKd/FwtGZXFHmYWyug3R7YlOczdS9Lrmizscf1h2hNdA9B/5bl5cytcgtK9CFGAQkEB/HRNqUj/DZT9fz1FYf4Zr9+ObnYjUOvNDz3ji55M6vcKe2nP3xYq64ay4Z1qH2NeiD2kBNSwaTL72Wsps+ysy8Pmq+BwiLycAX5w1jTXUH6w91Etd0DrSFuXdpDf936zjSbPL0IAaGQ22JprjlVe1sOeKjPZQIwcFo301xFqPCjBI3V4z2cHlZJqWZdtJsJlxWIxbT8WVr4ZjGvUsPUNPWXWd/9dgsbp2aJyVGQgwSUkPcJ52Irw1vSAWzi8wMO6YheFqmx0N4O/xEMeNMT8duPjdlExc0PYa/vYNQXMGalonbamSg/2i8WdPBzQ/voNkfRQccFiO/vbGc22Wts7hA6brO7sYgq6raWFHdxu7GIB2hOP5InFC8a0pNb26rkUuGp3NFuYf5IzMoSLPithlxWUwnPeG9f00tP1lxkNZAYrNjrsvMsx+bzMXD02WxhhCDhARiIYa4qKrx8xWH+NmqQwSjicklpR4bL39iCuPynFI6IS4IcVXjnSM+Vla3sbKqnZq2MN5wHN8JmuJynGYuG5nJovJMLhmeTrbLgttqxGkxnvJyjHcOe/nI47uoagmh6ToK8OsbyvjERYVyOizEICKBWAhBWyDGrY/s4I2aDuKajkGB68Zn8+AHx+NxmM/33RNDVDCqsuFQsimuuoOj3gje5GSI/priSjMTTXFXlHmYUewm055sirMY3vWbu/ZgjI/+cxfLK9uJqIlGuusnZPP7m8ZQnG4b8FeHhBDdJBALIQB461An73+wgkZfonTCbjbw2TnFfP/Kkbhki504R1qDMdYm64HXH+yg2X/yprjxeU4uH53JonIP43KdpNsT9cB20+mXNMVVnS++sI/HtzTiCyca6QrcFp772GRmDkuTUgkhBhm53iOEAGBGcRr3LBjGvUsPEIiqhGIaf9tYx6gsOx+fXYhtoM2WEwPG4Y4wq6rbWVHVxubDiaa4rnXJfTXFmQ0KM4rdXF6WaIob4Uk0xbn7aYo7Hb9afYhnK5rxRRJh2Kgo/PfiEUwscEkYFmIQkkAshADAbFT41MVF7GkM8PiWRiJxDW84zg9er6HUY2NxeZaMlxJnhK7r7G0Ksqq6neVVbexqCNAZStQDh+L/396dB8dZ32cAf97dd+97dUuWrWt9Yxtz4wtZgeYkB4SSgzCTkLZpmTSkTSYzIW2aZtIOJUzThh7pZJJJExKgpEkJIQNYFsbmxheWja1blqx77/u9+se7WklYwpYPWdL7fGbEMoI/ZEnjffa3v+f7VWYtxbmsJtw8WYpr9KPKa4fXZobbdu5S3Hw9eWQE//HqIMZT+eLXcv/2Ffj4pnK4rHy3hGg54pUJIprhTCyHz/2yHS926feJAWBtmRO/umcjNla5z7uMRDSdrKo4OJBEa0cYrZ1hdE9kEcvq94Fzc5TiSp0W7Gj0oyUUwLY6f7EU555HKW6+Xu+P4QuPn8CJ0XTxisbtG0rxyEdXoz5oZ8mUaJliICaiGTQAx4eS+OP/PoYTo2momgaTIGBbnQ+/+OwGlonovKXzCl7ti6G1M4K2zggGYjkkcgoSOXnOUtwqvw27GvX7wNes0DfFeWziBZXi5qs/ksXnHmvHy32x4te3pdqDn9y9DlfxxSDRssZATERnUVQNbZ0R3PNYO4YLJTurWcCdm8rx6B1r4Hdw8gTNLpKW8FJ3FHs6IjjQE8VoKq+X4nJK8R2H6QQA68qdaA7pkyHWV7jhL2yKc1gWbs53IifjvsdP4HfHx5GW9IkS1V4bfvbp9dhR74eVM7mJljUGYiKaVU5W8djBYXzlNx2I52QA+tKOr+6sxTda6niXkooGYzl9U9ypMN48HUc4LSORk+csxYkmAVtr3NgdCqIlFEB90AmvwwyPTYTtEpXi5kNRNXz96Q785I0hRDN6ic5pMeFHn1yLj13Fe8NERsBSHRHNyiaa8MktFeieyOCRfaeRzuurcH94YACNJU58amsFN9kZ2DujabQVS3FJRAuluLQ0eynOaTHhxlU+tIT0UlyNz1acDGExX9nfo0cPDOCXh0cQLYxXEwTgW7fW4wPrSuFkGCYyBAZiIpqT22rGA7tWomsig1+/PYacrCKakfHgH7pQ6hJx29oSWK9wmKGFoagqDg8m0doZQWtHBJ0TacSyMhLZuUtxJU4R2+sDaFkdwLY6H8rcVnhtIlw286IZXfbkkRH84KXTGElIxSB/3/XVuOfaKgQcFq6rJzIIXpkgonPqj2TwmV+049W+OGRVX1+7KmDHv35iNW5bw1C8XGUltVCKC6OtM4qBWBbxrF6Ky89Rilvht+GWBr0Ud23tVCnOtQCluPl68sgoHny2C13jGSiFp8JbVwfxw0+sQVOpY9F9vUR0+TAQE9E5aRpweDCBT/38GDrGM1A1huLlKpqW8VJPpFCKi2EkmUeisC55rlLcmnInmgvrkjdWuuB3WBa8FDdfTx4Zxbee7ULntDC8vsKJn969AVev8CyaE2wiWhgMxER0XmRVw8s9Mdz3xHF0TWSgamAoXiaG4jm0FTbFvX46jonUZClOhTrLU4QoCLh6hQe7mwLYHQqgocQJn12Ex26+IqW4+ZotDK8pc+Lf71yDbXWcKEFkRAzERHTeJEXDK71R3PfECYbiJe7UaBp7u/QQ/PbQ+ZXibljlw+6mAG5pDGCFXy/FuW0irEtog+F7heGb6vywMwwTGRIDMRHNC0Px0qSoKo6cmSrFdYwXSnE5BTlp9lJcwCFiR70fLauD2FbvQ7nbCo9NhHsRleLmg2GYiObCQExE88ZQvDRkJRWv98ewp0PfFHd6WilOUrRZQ3CN14ZdTX68LxTEdbVeBJ0WeOxmuKzmJV0yYxgmovfCQExEF4SheHGKZSTs74lhT0cY+7v1Ulz8PUpxgB4Mmxv18Wgbq9zFUpxzEZfi5oNhmIjOhYGYiC7Ye4Xi798ewoc3lDIUL4DheA5tXVG9FNcfw0Ranw+cyivFADidWRCwucaNlqYAdoeCaCp16KU4mwibZfGX4ubjF28N4zvP98wYrcYwTETvxkBMRBdlrlBc5bXhgZ21+IvttXBYGDoutc7xyU1xERw5k0Q0I71nKc5uEXBDrQ8tqydLcfbiprjl+KIlL6t4uK0P//XaGfRHcsVpGQzDRDQbBmIiumj5Qij+4rRQDAAlLgvu2lyO77y/ASUu67I6eVxoqqrh6FASewuluFPj6cJkCBnZOUpxfoeI7XV+tIQC2FbvQ4VncjLE0izFna+JlIRv/r4Lv2kfw1gyX/x9XFPmxL/dsQY31zMME9FMDMREdEnkFQ2v9cXw5f89ibeHU1AKKcRjM2NXYwCP3B5CI7d/zUtO1ktxrR0RtHVF0B/NIV6YDJGfY11ylcdaKMWV4PpaL4Iu/T6w27a0S3Hn6+RoGl97ugP7uqOI5+Tiafm1Kzx4+CMh3FDnYxgmorMwEBPRJSMpGk6NpfD133Xi+VNhSIX1vjbRhE1Vbjzy0RBuXOVb1qeTFyuelXGgR1+X/FJ3FMOJfDEEz1WKC5XqpbjdqwPYVOWG3yHCaxeXTSnufLV2hPHNZ7tx+EwCWUktfv4TV5XhW7fWY32la1leDyGii8dATESXlKppGIzm8NDePvz49TPIFIKJaBJQF7Dj797fgDs2lcPGU7qikXgOL3ZPluLiGE/p94GTublLcZuq3GgOBdASCiBU6oTPoZfi7MusFHc+NE3DT14fwsNt/egYTxdfOIgmAV/ZWYs/u2kF6oJ2mPlCjIjmwEBMRJfFWDJfbPhHMzI06GW7Co8VX7q5Bl/dtRJum3ilv8wrpms8jbYu/T7woclSXFYvxc12EGwTBVxf60NLKIBbmgKo9dsLkyHMsCyBdcmXS0ZS8L0XevGzt4YxEJ0qz/nsIv7+/Q24c3M5KjxWQ1wXIaILx0BMRJdNPCvjhVNh/NX/daA/mi0GvYBTxMc2lOG7H2hElddmiLf1VVXD28OTpbgwTo5lzlmK89lFbKv3oaUpiO0NU6U4zzIvxZ2v4XgO33imE78/MYGJtFT8/WoIOvBPH2nC7lAAPrvFEL9fRHRxGIiJ6LLKSCoODSTwwG9P4eBgovh2tstqxpZqN/7mtno0NwVhMS+/1JKXVbxxOo69nRHs7YygN5I9Zymu0mPFrgY/dq8O4oaVXpS4rPDa9E1xfMt/yjPHx/HQ3j4cHEwglVOK38ttdT78w4cacc0KLxxWs2FPzolofhiIieiykxUNXRNpfPPZbjzdPo68MnWvuNJjxWevqcRXd61Eqcu65E/zElkZL/fqm+Je6oliKD61KW6yZPhujSUONDfp94E3V3vgL9wHdlrNYAaeaTyVx0OtfXjq7TGcjmZnfE8/s7US39i9CmvKnbCwPEdE88BATEQLQtOAoXgWP9h3Go++PIBUfmoKgM8uYku1G3/7R/XYXh9YcqfFY8k89nVH8cKpMF7ti02V4vJKcfzcdCYBeimuKYCWUBChMmcxBBuxFHe+njsZxj/u6cWhMwnEslMj1WyigK/dsgqfv6EaK/0szxHR/DEQE9GCmkhJ2NMRxref68Gp0XRxioLFLKDKY8O911XhKztrEXBaFnUw7JnIoK0rgj0dERwaTCBSuA+czs9RijMLuG6lF7ubAmhuCmJlYNqmOAOX4s5HOC3h+219eOLIKPoiM0+FN1a68K1b69HcFECJy8oTdSK6IAzERLTgMpKCnoks/nlfP35+cLg4mg0AAg4RW1d48O3bGvSZxYvktFhVNbSPpLC3I4I9nWG8M5pGLCsjkZWRmaMU57WZcXOdDy2hIHY0+FHptcFrM8NjExfNn2ux29sZxvde6MVbgwl9WknhG201C/j89dX40s01CJU5YbfwvjARXTgGYiK6IlRNvw/6/MkwvvN8DzrHM8WRWVazgGqvDV+4oRr3b6+FzyFekbAjKSrePJ1Aa2cYezv0UlzsHKW4Co8VOxv0dck3rvKhxGmF185S3HzFMjIeebEfvzw0gr5IBvlpp8Jry5x48NZ67A4FUO628vtKRBeNgZiIrqh0XkH3RAYPt/Xj8cMjyMpTp8VBpwXX1XrwwM6VaA4FYV2AU9VUTsGB3hhaO8LY1x3FUDyHeE5BIifPWYprCNpxS+E+8JYaDwIsxV0wVdPwh3cm8IN9p/HWQAKRzNQ4NdEk4N5rK3H/9lqsLnNyigQRXTIMxER0xamahtGkhD+cGMd3n+9FTyQ7dVosmlDhtmBnQwB/uaMWV6/wXPIZvOMpCfu6ImjtjOCV3hjGUhLiWfk9S3EbK93Fdclrylx6Kc5uhoNv3V+wV3pj+OGBAbzcG8WZWG7GqXBjiQMPvq8Ot64pQaWHp8JEdGkxEBPRopHKK+gYS+OhvX349dtjyE07LXZazKjwWPChdaW4f3stmsocMF/EjLa+SBZtneFiKS6c1ktxqTlKcVazgGtrJ0txAawKOOC1i/DaWYq7WCdGUnh0/wCeOxXGYCyHjDQ1V9gsCPj01gp8eUct1lW44LSYl/xoPiJafBiIiWhRUTUNI4k8njk+jofb+tE5nilOogAAj82MGp8Nd20ux5/eVINKr/28riVomobjI2m0dUbQ2hnG8ZEUohkZ8ZyCTF6Z9T6wx2bGTaumSnFVXhu8dr0Ut9RGwy1GA9EcfvTKQHGmcDKvYPoz0toyJ/66eRVuWxNEtdfGU2EiumwYiIloUUrmFAzEsnj88Aj+85VBDCfyxbAkAPA7RKwK2HHvtVW497oq+GcZ0yYpKg4OJtHaEcbezgh6whnEsgoSWRm5OUpxZS4LdjYG0NIUwI2rvCh1W+G1i3CzFHfJRNISfvrmEH7+5nDhZyLPOJWv8drwJzdV445NFagL2nkqTESXHQMxES1amgZEMxJ6w1n89I0z+Nmbw/pChsJ/Nwl68W5NmRNfvLEGd24qAwQBr/bGsKczjJe6ohiM5wuTIeYuxdUF9FLc7lAAW2u8CDj1UpzLaoKJSeySSecVPHFkFD9+7QxOjqUQTskzTv/9DhH3XluFe66pREOJAz6HhaVEIloQDMREtOipmoaJlISTY2n86JVBPHV0FOlps4tFk4BSlwXVXhvyiqqfAhfWJctzlOLWV7iKm+LWlhdKcTYzJxdcBgPRHJ46OoKnjo6hcyKNsaQ04+diFwXctbkS991QhTUVLpQ4LTyNJ6IFxUBMREuGrGoYT0k4NBDHowcG8PypCPLKVDA2Cfqp8mx/qVlMAq5Z4cHuUBDNTX7UBR3w2UV47SJLcZeBpml4tS+Gxw+PorUjjKFEHtGMPCMImwUBH1xXgi/dXIPN1R6Uu61cWEJEVwQDMREtOTlZxVhKwv7uCP7lpdN443Ri1pNgQN8W1xIK4s+31aCx1AlfYV2yxWxa4K/aGBI5Gc8cn8Djh4dxdCiF8ZSERE7Gu59pttf7cP+2Fbixzo8qjxVWkT8PIrpyGIiJaMnKSApGkxKeOzmBxw4O40Bv7Kx7wmZBgMduRqjUgY9fVY67t1RgVdDOu8GXWNdEGk8eHsVvj42hP5pDOC2dVVwUBQE7Gn34zNZK7GoMoMZn48plIloUGIiJaMlL5hSE0xLah5N48sgofnNsDNGMPCOMmU0C/HYRJS4RzU1BfHBdCXY2+OGzWzjB4AJF0zIO9Ebw2/Zx7O+JYTSRRzQrn7XMJOgUcfuGMty1pQLryp0oc1s5OYKIFhUGYiJaNvKyikhGxmAsh6ePj+NXh4bRMZ45K6C5bWb47CKCDhHXr/ShuSmA5lAAlR4rT47PYTCaw4vdEezpiODN03GE0xKiWX2hybufTTZUuvDJTeX48PpS1PjtCDpFWHlVhYgWIQZiIlp2VE1DLKsgnMpjf08Mvzo8jLbOKLLTNt8B+jxjp9UMj80Mn0PEpio3mpsC2N0UQFOpk5MOoJfj3hlN48WuCPZ0hNE+kkY0IyGeVZCWzg7BVrOA3U1B3H11OW5c5Ue52wKfQ+QLDSJa1BiIiWhZS+UVRNISTo2l8T9HR/Hro6MYTUlnBTkAcFhM8Nj00l1TqRO3NPrRsjqILdVuQ5XwZEXDwcFEcatf90QWsayMeE5GTpp9oUmFx4qPbyzDnZvLESp1otRlgYPXIohoiWAgJiJDkBQNkYyEsWQer/XF0doZxt7OKIYTOcw2oMJqNsFjM8NjN6PcZcXaCic2VrixocqFjZUu1Pjsy+IEWdM09EdzOD6cxLHhFI4NJfHOaBpjKQnxwkKT/BwLTVb4bdhZ70dLKIjrar2o8FoRcFi41pqIlhwGYiIyFE0D0pKCeFZGPCvj6FASezsi2NsVmfW+MQCYBAEOi2nahxllLgvWVbiwoVIPyBsr3ShfAneQz8RyOD6SRPtwGseGkzgxoo9GS0sKMpJa/FBneWoQAKwtd+KWRv3O9YZKNwIOEV6bCKeVp8FEtHQxEBORoWUkFYmcjHhWQed4Ci92RdHaEcahM8k5Vz0D+tQKhzgVkB0WEyo9VqyvcKG+xIEKtxVlHgvKXVaUua0od1ths1z+BSAZScF4UsJoUsJYKo/RRB5jqTy6JjJoH05hNJlHOq8iMxmAZXXWFwGTRJOArTX63ermpiDqSxyFrX4i7Avw5yEiWggMxEREBXlFRSKrIJ6TMRDNYn9PDPu7ozg6lMSZeH7WU9PpRJN+kmwTTRBNAixmAaLJVHgU4LObi+FYf7SgzGVBwGGBWPh/RJMA87RHRdWgqBokFVBUtfDvGiIZGWPJPEaTeYwlpeJjPCdDUjRIigZZ1SApKmRVQ07WT37nWmAySQBQ47NhY5UbO+r92NngR7XPpi80sZs5JYKIliUGYiKiWciqhmROQSInIyOpGEnkcGJEv2bQPpxC+3ASYylp1vvHczELAkSzAItp5qPZJECAAEHQA6kA/R8CBGjQd1FrKHxogAY9JMuKHo6nPyrz/Ct98lR78urH+ko3ylyWwvQNEW6bGeIyuCtNRPReGIiJiM6DrGrIStOuGkjqtPu4KbSPpHBsOIlI5uw1xYtFqdOCdRVObKh0Y2OlCxsq3ajwWOGymmdc/VgOZUEiovlgICYiukCyoiEjTy+jKRiM5TCS0K8yvPs6g/6YR2KWJRYXy2szo8xtmXYdo/DosqDMY0GV14ZKj21a+NUDME9/iYgYiImILilJ0SCp6qzXGSY/n8orGE9NBeR4VoGs6tcd5MLdX1lVoWr6hIuZd4sB0WSC125GmUsv7pW5rHBazbAUr2GYzrqWYSncZSYiorMxEBMRLTBVA+RpoXlyyoM2467w1F/NAgBBEAqP+ufMpqmwK5pM4EEvEdGFYyAmIiIiIkPj/BwiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIyNAZiIiIiIjI0BmIiIiIiMjQGYiIiIiIytP8H8Euyjog2v3QAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/399.jpg"
}
] |
<image>Find x.
|
A
| 64,847 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/400.jpg"
}
] |
<image>What is the perimeter of the triangle shown below? Round to the nearest tenth.
|
C
| 64,848 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/401.jpg"
}
] |
<image>Find x. Round side measure to the nearest tenth.
|
B
| 64,849 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/402.jpg"
}
] |
<image>Find m \widehat J K.
|
C
| 64,850 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/403.jpg"
}
] |
<image>Find x. Round to the nearest tenth, if necessary.
|
D
| 64,851 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/404.jpg"
}
] |
<image>Find x.
|
C
| 64,852 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/405.jpg"
}
] |
<image>P is the incenter of \angle X Y Z. Find m \angle L Z P.
|
D
| 64,853 | null |
D
|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAARwAAAEXCAYAAAB/M/sjAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzCDNIMggzmCWmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsis5PeLF7XJqeS+abCu/c/co4GpHgVwpaQWJwPpP0CcnlxQVMLAwJgCZCuXlxSA2B1AtkgR0FFA9hwQOx3C3gBiJ0HYR8BqQoKcgewbQLZAckYi0AzGF0C2ThKSeDoSG2ovCPC6uPr4KAS7GpkbWnoQcC/JoCS1ogREO+cXVBZlpmeUKDgCQylVwTMvWU9HwcjAyICBARTmENWfb4DDklGMAyGW0s7AYKwFFORCiGU9YWDYM52BQfAUQkw9G+gtOwaGA5EFiUWJcAcwfmMpTjM2grC5tzMwsE77//9zOAMDuyYDw9/r////3v7//99lDAzMt4B6vwEAF6NfY1cynuUAAFIDSURBVHic7Z13WFNnG4fvBMISxYETXDhQceLee6+6R9Xa2n5qXXW02qptXXW12lrtsNVa99571L23ggqKqAgogiB7Jt8fBw6gyAxZvPd1cZGTM/JATn553+d9hkKj0WgQCAQCHaDUtwECgSDvIARHIBDoDCE4AoFAZwjBEQgEOkMIjkAg0BlCcAQCgc4QgiMQCHSGEByBQKAzhOAIBAKdIQRHIBDoDCE4AoFAZwjBEQgEOsNc3wYYE+vWrSMqKuq9+5UKBfb29pQoWZKSJUtSpkwZFAqFDi0UCAwbhcgWzxwhISFUq1o1S+c4OzszceJEuvfoIYRHIEBMqTLNrVu3snyOh4cHo0aNYuXKldo3SCAwQsSUKpPcvHlTflykSBGGf/xxqv0atZrQsDBCgoM5f/48/v7+8r5FCxfSq1cvihUrpjN7BQJDRAhOJrmVQnAaNmzI5MmT33usRqPhx8WLWbp0KQBRUVG4ubnRpk2bXLdTIDBkxJQqk6Qc4dSpUyfdYxUKBZMmT0alUsnPPX36NNdsEwiMBSE4mcDHx4fAwEB5u46ra4bnmJmZkS9fPnnb3FwMJgUCITiZIOXoRqlUUrNmzQzPuXv3LiEhIfJ2tWrVcsM0gcCoEF+7mSCl/6ZSpUrY2tqme3xgYCDTpk6Vt0uVKkX16tVzzT5B7hIXF8fRo0fZs3s33t7ePH/+nPDwcOzs7GjUqBEtW7WiXbt2lCxZUt+mGjxCcDJByhFOjRo1iI2NfeeYgIAAHj16xD13d1asWEFwcLC8b+GiRVhaWurEVoF22bVzJ99++y1BQUHv7Hv9+jUHDx7k4MGDWFlZMX/+fAYMHKgHK40HEfiXAQkJCVSuVCndCOP3Ubx4cebOm0fXrl1zwTJBbhIXF8ekiRPZsWNHls77+JNPmDdvXi5ZZfwIH04GeHp4ZEtsAMaNGyfExgjRaDRM/OKLVGJjbW3NJyNGcOjwYTwfPsTr8WNOnDjBuPHjU41e/1m9mtOnT+vDbKNAjHAyYOOGDUyZMgUACwsLGjVunOZx0VFR+Pn58fz5c/k5hULBH3/+Sffu3XViq0A7/LZiBXPnzpW3K1WqxLr16ylTpkyax3t5edGlc2fCwsIAqFChAv+dPJkqLEIgIQQnA76cMoUNGzYA0KhRI3bu2pXu8Tdv3mTc2LE8fvwYACsrK27dvk2BAgVy3VZBzomIiKB+vXryCmN5JycOHTqU4fu3Y8cOxo0dK2/v27ePuvXq5aapRolwGmfAjSwE/CUds379epo0aQJAdHQ0169fp3Xr1rlmY2aIjI3nWWA4T4PCePkmirDoOMKi4giLjiU8Ok7aTvFcWHQc5kol+a1V5LdSYWsl/c5vZSE/l99KRQFrC0oVykdZe1scC+XD3My4Z+lr166VxUalUrFy5cpMfVn07NmTaVOnEhERAcD1GzeE4KSBEJx0iIyMxNPDQ96unQnBAShXvjwODg74+voCcEOHgvMqLJr7vsHc9wvmvl+I/Pv563ByeyyrMlNSoXgBqpYqRNVSBanmUIiqpQrhXLIg+SwN/1aLiYlh5Z9/ytudu3TBxcUlU+eam5tTx9WVc2fPAnDP3T1XbDR2DP8u0CN3794lISFB3nbNRIQxSE7HpPk8QOHChbVum/Q64O77mrMeLzjr4c85zxf4BIVn+nxzMyXWKjOsLcwTf8ywSXxspTJDrdEQFZtAVGy89BOX4nFsAuq3FCwuQc0DvxAe+IWQcuKpVChwcSxEc+eStHAuSXPnEpQqlA9DY/Pmzbx8+VLeHjZsWJbOX7duHXFxcYDk7xO8ixCcdEgZf1O0aFEcHBwydd7FixcJDQ2Vt7U5tH4cEMoJd19O3PPlP3dfXoVFv/dYK5UZ5Yrmx6loAZyKFcCpmPS4fLH8lCmSn4I22f9QaDTwMjSSp4HhPA4IlX5ehcmPfYMjSFBLgqTWaLjr85q7Pq/57bj0zV+5hB3tqjvS1sWB1lVLUSif/uOUTp06JT+uUKGCPC3OLJaWliLeKgOE4KRDygjjzE6nfH19GTNmjLxtY2OTo7SG2Hg1Zz38OXDrGQduPcXzxZs0j8tnaU7DCsVpUKEotcvYU7tsESqVsEOZS4W/FAooYWdDCTsbGlZ4t+xGVGw8bs+DufU0kFvPgrj48CV3fIJkEfJ88QbPF2/47bg7ZkoFjSoWp2vtMnStXYaapYvkis0Z8cTbW37ct18/vdhg6gjBSYfMZIgnJCTw8uVLfHx82L1rF5s2bUoVibxw0aIsJ27Gxqs55vacbVe82HP9CSGR70Y257M0p2nlErSqWopWVUtRr3xRVAbksLW2MKe+U1HqOxWVn3sTGctZD39OPfDj9H1/bj4NJEGtIUGt4bznC857vuCbrVdwKlaAfg2c6NfAibrli6bzKtpDo9GkyuivWLGiTl43ryGWxd9DYGAgNWvUkLdVKhXW1tbvHBcZGUl8fHya1/j888+ZMXNmpl/zrs9rVp1+wPrzDwkKTz1VUiigZukidKpZmo41StO0cgkszA1HYLJDcEQMx919OXzHh6N3fXj+OuKdY6qWKsQnLZ0Z1qwyxQq8+//XFv7+/tRN4aM7fORIppJ0BVlDCM57OH78OMOGDs3WuZUqVWLixIn06NkTpTJ9UVBrNOy78ZQlh+9w5oF/qn3mZkpaOJekV71yfFC3PI6FDc/Rqi00Grj5NJBd17zZdc0bd9/gVPstzJUMalyRiZ1qUquM9qdcFy5coG+fPvK2m7t7rjn78zJiSvUeUi6Hp4dKpaJ06dKULVuWsmXL0qhxY7p165ah0ETFxrP2nCdLDt15xy9Tr3xRhjarzMBGFXL1W92QUCjAtZw9ruXsmdO3Pu6+waw758mGCw95/jqC2Hg1/5715N+znrRzceDLrrVpX90RbbmoUjr5gTRHs+lx8uRJOQWmTJkyojrAexAjHB0TGhXL7yfusfTwHV6+Sc7RslKZMbhJJca1r07tsvpxmhoiCWoN+28+5ddjbvx3zzdVLFGdsvZ83aMOfeqXz7Fz3M3NjQ7t28vbp8+coVKlSpk619PTk1YtW8rbCxYuzPKSel5BCI6OeBMZy7Kjbiw9fIfgiBj5+aL5rfi8nQuft3PJM6OZ7HLHJ4glh+6w6eIjYuPV8vNVSxVi5geu9G9YATNl9oQnNDSUKs7O8vaq1avp3Llzps6dNnUqa9euBcDW1pabt26lqvYoSEYITi4TGRvPr0fdWHTgFq/Dk4WmnH1+pnStxSctnLG2EDPbrOAbHMGSQ3dYefI+4dFx8vMuDoWY07c+H9Qtn62pVnUXF16/fg1As+bN2bp1a4bnXLt6lT59+sgBf8OGDWPBwoVZf/E8ghCcXCJBreHfsx58u+MavsHJqy8Vi9vxTY86DGlayaCWsY2RoPBolh6+y69H3QiNSg4daFyxOIsHNaJp5RJZut7sWbP4448/5O2du3bRqFGj9x7/8sULOnXqJEcnW1lZcfTYMbGkng5CcHKBsx7+TFh3gZtPkwuvOxa2ZVbvugxrVtnoExwNjdfhMSw+eItfj7oRESOFKCgUMKBhRRYNbEjpIumXhE0iICCAhg0aEBMjjUStra35ZdkyunXr9s6xO3bs4PvvvktVCXDFihX06t1bC3+R6SIER4u8CotmysaLrDvv+U6iZN8GTmwb1z7tEwVa4cWbSL7feZ1Vpx8QnyD5ePJZmvNdr3p80alGpkaUS5Ys4cfFi+VthUKBi4sLtWvXxtHRkUePHnHnzh08PT1TnTdq1Ci+/e477f5BJogQHC2x8cIjxq87LwfsqcyUfN7OhTs+QZy85wfA8WndaOuSuXwsQfa55xvMxA0XOHo3uRhanbL2rP6sVaZWAH9bsYJ58+aRmY+GjY0NkyZPZuTIkZiZmeXI7ryAEJwcEhgWzcjVZ9h5LTkPp7lzSX4b3ozqjoXx8A+h5jfbiI1XU7VUIW7/0Ff4bnTEzmvefLH+gpxBrzJT8m2vukzrVjvDae2Rw4dZtXo1F86fR61Wv7PfzMyM9u3bM2fu3Ewn9QqE4OSII3d9+HjlKfxDIgGws7Fg0cBGfNaqaqpVkq+3XmbBvlsALBrYiC+71tKDtXmTsOg4pm25zB8n7snlNJpUKs66UW1wKpZxYa2XL15w/PhxXrx8SXR0NBUrVKBqtWpUrlwZKyur3Dbf5BCCkw1i49V8vfUySw/fkX01bao58M//WlEmDQdlREw8VaduwSconPxWKu4vGoCDAdaDMUUS1Bp+PnyX6duvEBOXXNuogLUFf3zcnEGNxYqSLhGCk0W8X4UxYPkxrj5+BYCluRk/9G/AF51qpBvtuv3KY/r9egyAgY0qsmlMW53Ym5e54xPEp3+flt8rgLL2tjwNTC5S9mmrKiwb2lTEQukIIThZYP/Npwz786QcKVylVEE2fd4u06kI7Rfs57i7VHb0v6+707paqVyzNS8TE5/AvD03WLDvFnGJq1UOhfLx2/Bm9HAtx7rznoxZc46wxKDBWmWKsH18eyoWt9On2XkCITiZQK3RMHvXdWbvvi5PoYY2rczvHzfPUq3eB34h1JouOZBdHApxc55wIGubCw9f8unfp7nvJ2WbKxTwWauqLBrYCLsUFQ4fvnhD/+XHuPVUiqMpaGPBhs/b0qVW2q1gBNpBCE4GhEfHMfSP/9h9/QkgJVn+MrQp/2tdNVvXm7r5MosO3ALgx0GNmdxF1FzRBuHRcXyz7QorjrnLzuGKxe34a0QLWlVNeyQZHZfAmH/Psfr0A0CqvTx/QAO+6lpbV2bnOYTgpMPz1xF0X3JI/hZ0LJyPnRM6pqpil1XCo+OoOnULz19HkN9KxYNFAwyyoLgxceSuDyNXn+VpoFS43txMycRONZjVu16mfDN//neP8evOywmhw5s78+cnLYy+wJkhIgTnPdzxCaLL4kNyHlTjisXZ+UUHStjZ5PjaWy55MXDFcQAGN6nIhtHCgZwdgsKjmbThImvPJUf91ipThFWftsxyadJzni/o88tRAkKlkiFtXRzYOaEDBaxF9wVtIgQnDc56+NNjyWG5lvCgxhVZ/VkrrFTaiyRtO38//93zRaGAk9/0oGWVklq7dl5g62Uvxq87L9cUslKZMaOnK191q51tv9iTwDC6/niIe4nVBmuXLcLhL7tS3E6UDdEWQnDe4tBtH/osO0pUrJQEOLVbbeb3b6i1ynJJ3PMNpvb07cQlqKnuWJibc/uIpM5M4BscwZh/z7En0acG0KxyCf4a0ZIqpQrm+PohkbF8sPQwpxPLvVYqYcfxad3SjK8SZB1xh6dg382n9Pr5CFGx8SgUsPTDJiwYoH2xAajmUIgJHaUi7W7PX7P8mOjUmB4aDaw8eR+XaVtlsclvpWL5R804PaOHVsQGpNWqw191pVe98oC0mtVy7l6eBIZlcKYgM4gRTiIHbz+j189HiI1XY6ZU8NeIlnzcwjnjE3NAWHQcVb7agl9wBAWsLfBYPEArPiJT49HLN3y26gyn7vvJz3WuVZo/Pm6RayOPBLWGj1eeYt15yT9Uzj4/Z2b0yHSpC0HaCMEBzjzwp9Pig0TFxmOmVLDmf60Z0jRz9WxzyqaLjxj82wlAiu1ZO0p7PciDgoLYsWNHts794IMPKFbs3QZ3uiQ+Qc3Sw3f5buc1eYprn9+KpR820cn7o9Zo+GzVGXnZvEqpgpyZ0ZOi+UUOVXbJ84Jz62kQrX7Yy5vIWBQKWP1ZK4Y3z92RTUo0Gmgzfx+n7vuhUMDp6T1o7qwdB/Ke3bsZPXp09s7du5f69etrxY7scPuZlJZwzTs5LWFgo4osG9ZUpx94tUbDR3+eZP35hwDULV+Uk990J7+VSmc2mBJ52ofj/SqMzosP8iZxNernIU11KjYgRcL+OqwpKjMlGg2M/fe8XDwqp6TsHJoVzM3NqZGiCaAuiY5LYMb2q9T/dqcsNo6F87F3Uic2jWmr89GFUqHgn89a0cO1HADXvV/RO3HqLcg6eTZjLSg8ms6LD/LijVRaYuYHrozvoJ9eQtUdCzOuQ3WWHLrDHZ8gfjtxTyu2pBScunXr0qp15qZrhQoW1EvphfOeL/h01Wke+IUAkhiPbF2NhQMb6jUextxMyZax7ei46ABnHvhz3N2XT/46xbpRbXJlQcGUyZNTqpj4BNrN3885zxeAlDH814iWGZyVu4RGxVLlqy34h0RiZ2OBx6KBOYr/iI+Pp3KlSkRHSxUIFy1ezJAhQ7RlrlYJi47j6y2X+T1FzZrKJexYOaKlQcUnhUTG0mLuHu76SJ0dZvR0ZU5f/U07jZE8N6XSaGDEX6dlselcqzS/D2+uZ6uk+iyLB0kdAt5ExjJ1y6UcXc/Dw0MWG4A6derk6Hq5xaHbPlSftpUVx6UcKHMzJVO71ebWvL4GJTYgLZkfmNxZrmU0d8+NVFHOgozJc4KzYP9NNlyQHIC1yhRhy9j2BhNwN7hxJVokfsjWnvPkfKIoZoeU0ylra2ucnXXrm8qIwLBohv7xH11+PMizxBKgdcrac/n7XiwY0NBg69OULmLL/smdsU10Gv9v1RkuPHypZ6uMB8P4pOmI/TefMmPbVQBK2Nmwb1Ing1ptUChg+bBmmCc5kNeeI0GdvRnvjRs35Mc1atTA3NxwPsCbLz3CZdpWeeXHSiUVMbsyqxeu5ez1bF3G1C5bhA2j26BUKIiJT6DPL0dT9R4TvJ88IzgPX7xhyB//odZosDQ3Y+cXHQwyiKtG6cKMaecCSEv2v5/IXgTyrRQjHEOZTj1/HUGPJYcZtOKEnCTZ3Lkkt+b15evudQxmpJkZeriWY24/yX/z4k0kfZcdIyY+IYOzBMbzDueAyNh4+iw7Ki9/rxjejMYVi+vZqvczq3c9OeL42x3X5A9nZomIiEjVN8mlenViY2Mz9ZMbaDTwx3/3cJm2lX03nwKSz+q34c05Nb07ziUL5srr5jbTutWhf8MKAFx69JJJGy7q2SLDJ0+sUn3y1yn+OeMBwGetq7LykxZ6tihj1p7z5KM/TwLwcQtnVn/WKtPnXrx4kT7Z6ABpZWXFIy8vlErtfQ89fPGGz1adlpMhAbrWLsPvw5sb5Agzq4RHx9Ho+124J2aYbxrTloGNRGH292HyI5z15x/KYuNazp5lQ5vq5HX/+ecfJk2axKRJk3j48GGqfXFxccyYMYNJkyYxb968NM8f2rQyzRJ7Y68568HFR5l3TGY34K96jRpaE5v4BDUL99+i1vTtstgUzW/FhtFt2T+5s0mIDYCtlYrt4zvITuSRq8/iFRCqZ6sMF5MWnMcBoXy+5iwgDeG3jG2n1Zo26WGhUrF50yY2b9rExg0bUu37Yd48Vq9axeZNmyhbtmya5ysUsPyjZpgpFYkRyJl3IKf031haWmJvb5+pn2ZNtSPGN58G0vD7XUzbclnOgRrcpCLuCwcwuInpfftXKVVQDq0IjYpl8G8n5OLtgtSY7JQqQa2hxdw98pLlhtFtdXqzh4eHU7tWLSIjIylevDjXb9xAqVRy+vRpBg8ahEaj4YNevfjtt9/Svc74def59agbAL8Nb87ottUyfO369erh6yt1h/jyq6+YOHFizv+gTBAdl8DsXddZfPC2nJ5Ruogtvw9vTtfapl+c/KM/T8pxOTM/cGV2HxEU+DYmO8JZfOC2LDYfNqmk829WW1tbevTsCcDLly85d/YsQUFBTBg/Ho1GQ3knJxYtWpThdWb3qU+xAlLE8YztV3gVFp3u8QEBAbLYgO5WqM56+FN7+nbm77tJfIIapULB5+1ccJvfL0+IDUgj0qRunvP33UrVD0sgYZKCc883mO93XgOkb9jlHzXTix0fDh4sP96xYweTJk4kICAAS0tLVq5cia1txn6MgjYWLBzYEIDX4TF8s/Vyusffest/U6tW7rYVDo2K5fM1Z2k1bx8e/iEAOJcsyKnp3VnxUbM8VRM4v5WKf0e2xkypID5BzccrT4ql8rcwOcFRazR8+vdpYuITUCjgrxEtKGijn5u+br16VK5cGYBt27Zx7JjUeXPW7Nm4uLhk+jofNXOmSSVpGX/1aQ8uewW899iUDuNy5cpRqFCh7JieKQ7cekb1r7fJOVDmZkq+7l6HW/P6aq3EhrHRrHIJuZKju28w8/bcyOCMvIXJCc4fJ+7JKzrDmzvTsUZpvdozKMUoB6BHz54MGzYsS9dI6UBWazSM/fecnOT4Njdv3ZIf16pdO6vmZopXYdF8+PsJuv10CJ/EtATXcvZcndWbH/o30JljXhucOnWK2bNm0a9vX3r06MGUKVM4efJkjq45p299uYvnwv235KZ8AhMTnIDQKKZvuwJAsQLW/DiosZ4tgpo1kxvdmZmZZcpvkxZ1ytozqo3kML7m/Yq/Tt5/5xiNRsOtFIJTOxcEZ+OFR7hM3cLGC48AsLYwZ8GAhlz+vlemWx4bAgkJCXz/3XcMHjSIP/74g/Pnz3Pt6lU2btjAkA8/ZNHChajV2VtpsrEw54+Pm6NQQGy8mjH/nsM0l2ayjkkJztdbr8itXRYPakRhW0u92hMdHc30b76RtxMSErh79262rzenb325ANX0bVcJCk/tQPb29ib0zRt5W5sOY5+gcLr9dIgPfz8hO65bVinJ7Xl9mdqttlGlJYDkU1u5ciUAdnZ2dOzUiR49emBvb49Go+Hnn39m5syZ2b5+WxcHBjeWyqCevOfH1steWrHb2DGZZfHr3q9o8N0u1BoNzSqX4MyMnnovjvTVl1+yfv36VM/17t2b5StWZPuaq08/YMTfpwH4X+uq/JkianrHjh2MGztW3rayssLCInP+K0tLS27fufPO82qNhj//u8+0LZcJjZLEvIC1BYsGNuR/ravp/X+cXVq1bImnpyfFS5Rg7969lC4tTb0DAwPp3q0bT58+xcLCgtt37mBnZ5et1/APicT5y82ERcdRpogtDxYNMNgseF1hXF9L6TBl0yXUGg1KhYJfhjbV+wdh3759stiMnzABJycnAA4cOEBoaPYjUYe3cKZRYh7Y36cepFp6fTvCODo6mtDQ0Ez9lEkjANHDP4RW8/bx+Zqzsth0r1MW9wX9GdlGd2ITFxfH6lWr2Lp1q1au9+bNGznX7MPBg2WxAbC3t5cLlcXGxqbKScsqJQvaML2nKwDPgsL55YhbDqw2DUxCcA7d9pFbiAxpWknvJQ6ePXvGl1OmAFJpiMmTJ9Ovf38AYmJi2LlzZ7avrVQoWD6sabIDeW2yA9nTwyPb13VNMf2KT1Azf99Nak/fzlkPKS2hWAFrNo1py95JnXAsrNte6AcPHGDGjBl8MWEC9+/dy/H1Xr5MThNJ6WNLonSZ5LihoKCgHL3WhI41KGefH4CF+2/yOjwmR9czdox+fKfRwMwdUo0bK5WZ3ks+xsXFMXrUKEJDQ7G0tGT5ihWoVCr69u3LooUL0Wg0bNq4keHDh2f7NeqWL8pnraryx3/3uOIVwKpTD/isdVW2btuWY/tvPAnk079Pc/NpoPzckKaVWPphE+zTKGDu7+/P4sWLAXAqX56x48al2n/ixAkOHDgASKOJuvXqZdmmlB/6wMDAdI7MHEWKFOGzzz5DA1Sq9G67mefPn8uPc9oqx0plxuy+9Rj2x0lCImNZfPAW8/s3zNE1jRmjH+Hsu/mE64nV/Ue2qab3lqwLFyyQpzbTp0+Xb2gHBweaJuYq3b17F3f3nHXanNevgSwA32y7kuNvzqjYeKZtuUzD73fJYlOmiC0Hp3Rh3ag2aYoNQPHixTlz+jSbN21i8eLFBAcnLwH7+voyZswYNm/axJXLl6lStWqObNQWRYoUYdbs2cyePZvyiVPdlFy7Kn2BqVQqeSqcEz5sUgkXBykeavkxdwIziBY3ZYxecObtlT7c1hbmTO1WW6+2XL9+nd9//x2A5i1aMOLTT1PtT5pWAezevTtHr1XY1pIf+jUApHKdSeEA2eH0AyktYeH+W3Jawph2Lrgt6E/nWunHMSmVSgYOHAhIo7u9e/cC0orc2DFjCH3zRo6szpdPt1OxrPLixQvmzZvH4cOHAfjkk08oWLBgjq+rVCj4tlddQCpnsexo9lcqjR2jFpxT9/24khh1O6JlFUoW1G+b3Lp16+Lr54efvz9btmxB8ZZXtV+/fvj5++Pn78/06dNz/HojWlWhQQVpyP/XqfvySC+zhEbFMvqfs7T+YS+eL6TldKm7ZA+Wf9Qs0+VXBw4aJJe1SOr0+euvv3L5spSGMXvOHKplIbJa1yz75RcqVqiAa506rFi+HKVSybjx45k6bZrWXqNvAye5//mK4+5ExMRr7drGhFELztLD0jeFuZmSyV3edf6ZOpIDuRlKhYIEtYaxa8+/NwL5bfbdfIrLtK388d89NBpQmSmZ3tOVm3P70jSxDk9mcXR0pHlzqTzDtatX2bVzJ0t++gmAnh98wNChQ7P2h+mYyKgoIiMj5W21Ws3TJ094ExKitddQKhRM6SLltb0Oj2HN2ew7+I0ZoxWcxwGh7E8sV9mrbjl5JSCvUd+pKJ+2qgJIZS7XnEn/Rg4IjWLQihP0WHKY56+lwt/1yhfl6uzezO1bP9tpCSlTOMaMGUN8fDzlnZxkh7Ih06FDB8ZPmMCgwYOxt5dWOPfu3UvvPn1yFMLwNkOaVpIz/5cfc8uT0cdGu0q18uR9+dt8nJ46ZhoKP/RvwI6r3gSFRzNty2V61StPoXzvRlmvP/+QiRsuyE5LawtzZvWux8RONXIcKdy5c2cKFy7M69dSkzgLC4tMZ8THxcVx7ty5VA7nlNy+fVt+fPbcOV6lsVKlAIoVLy475rOCq6srrq5SvExsbCwTJkxgz+7deD9+zPr16/n888+zfM20sDQ343+tqzJ3zw0e+IVw6r4frauV0sq1jQWjjDSOjVdTesJ6AkKjqO5YmLvz++nbJL3z53/3GPWPVN3w83YurEhRkuNZUDij/jnDods+8nOtqpbirxEt5CRDbdC3Tx8uXLgAwKhRo/j2u+8ydd6vy5Yxf/58rdiwZs0aOnTsmKNrvH79Gtc6dYiNjaVZs2ZaCTdIwiconPKTNpKg1jCgUQU2j2mntWsbA0Y5pdpz44ncyWBkG8NYatU3n7WuSr3yRQFJfG4+DUSt0bDiuDvVp22VxcbOxoI/P2nBf19316rYbN++XRYbIFUSaUZos2h7Zr4/vby82Ldvn7wa9TaFCxfGwdERAF8/P63ZBlJ9pi61pMDCXde8MyyoZmoY5ZRq1akHgDQlGNK0sp6tMQyUCgXLP2pGk1m7SVBrGPHXKfJZquSWxgA965ZjxUfN5Fa12sL78WO+fmtF59KlS3g/fpxmnMvbjBw1Cpfq1VMlnqZk3759cvDghAkTqJpWPI9CQcmSJalfP+PAz3/++YfVq1ZhY2PDI6+0kyqL2tvj/fgx+Wy0v/L5Weuq7Lv5lNh4NevOeTKpc95Z8DA6wXn+OoLj7lIkaJ/65fVWXMsQaVihGMNbVGb1aQ9uPk2Ozi1uZ82yoU3lHkraJDY2lpEjRxIREUGhQoUYN348s2fNAmDT5s18kyJb/n2Ym5vTqlWr9+4PDAyUBadJkyY0b5GzNj9Fi0ojwejoaEJCQtKMtXnxQhLqlHlW2qJzzdKULGiDf0gka8565CnBMbop1caLD+XuBcObG1a/bH1z3fsVl71Sx+IMbFQR9wX9c0VsAGbPno2bm5SUuGjxYoYPH07+/NKK4batW0lIMLwSm0kiolar2bF9+zv7z507x7NnzwComEbqQ04xN1MypKl03bs+r7n1NGf5WsaE8QlOYuEnx8L58pyH/31Excbz1eZLNJq1G/fnr1PtK1rAiiK2aacl5JQjhw+zetUqQApq7Nq1K1ZWVnTr3h2QkiT/O3EiV147J3Tu3Fke1cyaNYtVf/+Nj48PoaGh7N+/n9GjRgHSSltOct7SY2gKV8DGiw/TOdK0MCrBue8XzO1n0rfBgEYVUOq7BoUBcOq+HzW/2c7iA7fltISx7avL1fd+O+4u/8+0iZ+fn9x+xtHRkbkpGvr1T5HCsXHTJq2/dk6xtrZm3PjxAMTHxzNz5kwaNmhAFWdn/vfZZ3Ky6OjRoylZMndqM9coXZgapQsDsOWSV56JyTEqwdl+xVt+PKCh6TVUywpvImMZufoMbebv49FLydlatVQhzs7sya/DmvLbcKnEZYJaqoGs7Rv6yylTCAkJQalU8suyZfI0CqBBgwZyg78Tx48TERGh3RfXAqNHj+bnX37BJg2nsK2tLT//8otWUxvSYkDiNPdZUDhXHr+/ML4pYVRO453XHgNQzj6/vAScF9l74wmfrzmHb7D0QVaZKZnWvTbTe7piaS5FCjeuWJzhzZ3554wH5zxfsO68J8OaaW9Fb8PGje/dp1AouHjpktZeK7fo378/vXv3xsvLi3vu7piZm1O1alWcnJwwM8v9QvB9GzgxY7uUmb7zqjcNK+SsFIYxYDSC8zQwTHaufVCvnN4r+umDgNAoxq09n6o+bn2novz9aUtqln63gPmCAQ3Zff0JwRExTN18mZ6u5bAzwlW9pHSDtx9rA3Nzc5ydnXF21v0ChHPJglRzKMQ932D23Hgi9x8zZYxmSrX/1jP5cY865fRniJ5Ye86TalO3ymJjY2HOj4Mac/G7XmmKDUhV+mb3kQpevXgTyXeJzQGNjc5dujB/wQKWr1hB1WoZtzo2Jnq4SlNPD/8QHr5IOw7JlDAawTl0WxIcOxsLmjlnLZvZmHkaGEbnxQf56M+TcpeGNtUcuDO/H5O71MRMmf5Qb3RbF9mBvOK4O3d9Xqd7vCGiUqn46KOP6N27t75N0TpdayfXkj50xyedI00DoxCc2Hi1XLO4nYsjKiNrSZId1BoNvx51o/rX2ziceCMWtLHgrxEtOT6tGxUSe1hnhJlSKmGhUEi1iseuFT2SDIlGFYrJwatH7wrBMQguPXopFyxqX91Bz9bkPvf9gmk+Zw/j150nPDoOgA/qlsN9QX8+bVUly/6rppVLyA7jMw/82XAh78R9GDrmZkraVJPu6dMP/IlLyF7zPWPBKATn5P3kBLqkN8cUiUtQM3fPDepM38GFh1JngRJ2Nmwb155dX3SkVA5yoBYOaCR/k361+ZLc9kWgf9q4SPd0eHQc17JYtdHYMArBOfNAalXiUCgflUpoL8PZkLj6+BX1Zu5k5varxMQnoFBIqRvuC/rTt0HOC3kXt7NmVh8psdE/JJLvd17P8TUF2qFV1eSI+aR73VQxeMGJT1Bz2Uv6tjdFZ3FkbDxTNl2k8axd3PGRlv3L2efn8Jdd+ed/rbTarvjzttXkFa3lx9xwe258DmRTpFqpQvL7nDSyNVUMXnDcngfL/psmlUxLcP6750vNr7fx08E7JKilrqETOtbAbUF/OtRw1PrrmZspWf6R1JU0LkHNuLXnhQPZAFAopEBNkPyVpozBC07KkO8GTqYRXRwSGctnq07TbsF+vAKkmrkuDoU4/21Pfh7ShHyWuReP2dy5JEOaSA7kU/f92HzpUa69liDzNHCSoowDQqN4EhimZ2tyD4MXnBtPpPq15mZKapfVbwtfbbD7+hNcpm3l71MP0GjAwlzJt73qcmNuX7lneG6zaFBDOeJ4yqZLhCWuhAn0R70UX6ZJ97wpYvCCk5TpXLVUwWx3FDAEXr6Jov+vx+j18xH8EnOgGlYoxvU5fZjVux4W5rp7K0rY2fB9LykC2S84gtm7hANZ39RJ8WWaG9n9hoJBC45Gg1zfJSmV39jQaGDNWQ+qTdvCtitS8mk+S3OWfNiY899+QHVH/fxdY9u7yP/TX47c5Z5v2h0TBLqhZEEbiia2UzbGaPDMYtCC4/M6XB7uuzgYn+A8CQyj0+IDfLzylNz7u52LA3d+6MfEThmnJeQm5mZKfk2MQE5yIAv0S7XE/uP3/UxX/A1acDz8Q+THSW1SjQG1RsMvR+5S4+ttHL0r1V8ulM+SVZ+25OjUbjhlMi0ht2lZpSSDGkt1hf6758uWS2kXFBfohiqlJMHxehlKvIlGHBu04Dx6mdz1sJIWW5rkJu6+wTSdvYcv1l+Q0xJ61yuP+4L+fNIy62kJuc3igY0oYJ3kQL4o2yzQPUn3eFyCmqdB4Xq2JncwaMHxfpUsOIYyKngfsfFqZu+6juuM7XIsRcmCNmwf354dEzpQsqD2241og1KF8vFdr7qA1BFjzu4berYo7+JULLlqovcr01waN2jBeZao8vb5rXI1NiWnXPEKoO7MHXy38xqx8WoUCvikZRXcF/SnT/2cpyXkNuM6VMcl0X/w85E7PPAL0a9BeZRyRZMF56mJxuIYtOA8fy0tH5cunHF/an0QERPPpA0XaTJ7t5wm4FSsAEendmPVpy3T7O9tiKgSHcggjdTGrT2nZ4vyJo4p7nPf14ZXB1obGLTgvAiJBDDI6chxd19qfrONpYeltAQzpYKJnWpy54d+tHMxvoz21tVKMbCR5EA+7u4rL+ELdIe9rZVc6+nFm0g9W5M7GLTgJPUPL1bAWs+WJBMcEcOIv0/TYeF+HiemJVR3LMz5bz9gyYeNDXrqlxE/Dm5EfisVAJM3XpRz2AS6QaGAoon3ekCoafYcN1jBiY1XyzE49vlzp5FbVtl5zRuXaVtZfTo5LeH73vW4PqePSVTcdyiUj5kfSA5kn6Bw5u4REcgpOXrkCG3btOHTESMydfyJEyeYMH48Xbt0oW+fPnz15ZfcvXs33XPsE5sWJpWTNTUM9us4JDJGfqzv/uEv3kQy9t/z7LiaPM1oVLE4f3/aUna2mgpfdKrBP2c8uO8XzJJDdxje3BnnkgX1bZZBcOzYMe7fv5+pY2d9/z1//vlnqucuXLjAhg0bWLx4MYM//DDN8wrmk+71lPe/KWGwI5yUCYVJcSK6RqOBf854UG3qVlls8lma8/OQJpyb2dPkxAaSHMhNAWmUOX6diEAG8PLyYt/+/Zk69vr16/z111+A1IamQ8eONGjQAACNRsN3330n9y5/m6R7PSzKNOOhDFZwIlP4D2z04Bd5HBBKh4X7+eSvUwRHSN827as7cnd+fyZ0rKHXtITcpq2LA/0Tu0Ievfucnde8MzjD9NBoNAQHB+Ph4cEff/xB/379CH2TcRuX+Ph4pk6dilqtpoCdHRcvXWLNmjXs3rOHH+bPByAiIoKpX32V5vk2FtK9Hhlrmv4zg51SRcclyI91mSWeoNaw7OhdZm6/KjtNC9ta8tPgxnzUzNngIoVzi58GN+bg7WeER8cxcf0FOtUsLX8YDJFbt25x7uxZunXrRrny5XN8vWfPntG4UaMsn3f79m3uubsDMG7sWBwcklcshw0bxqq//8bLy4tz584RHR2NlVVq/2TSvZ7y/jclDHaEE69OziXRVVsYt+evaTp7N5M2JK/Q9G3ghPuC/gxvnnfEBsCxcD5m9HQFpADMH/be1LNF6TNu7Fh++OEH5syZo1c7UjqFe/TsmWqfUqnk448/BiAhIQH3RGFKSdK9bqq5VAb7laVWJ9e+VOTyJz02Xs0Pe28wf99NYuOlN7pUoXwsH9aUXvVy/m1prEzsVJN/znjg4R/Cjwdu81GzytkqYv/PP//IH8TRo0dTqVIleV9cXByzZs0iMjKSIkWKMH369GzZGhQk1ZAJDNRO8arSpUtz7y0H8cABA7hz50665yX9nfnz58fR8d0ysZVTtBS+c+cOdevWTbU/6VZXm2jtV4MVHF1x6dFLPv37NO6J9WAUChjRsgqLBzXW++qYvrEwlxzIHRYeICY+gQnrz3NwSpesX0elYvOmTQDYFSjAd99/L+/7Yd48Vq9aBcCixYu1Yrc2UCqVFCxYMNVzb09/0sLT0xMAR0fHNL8oS5VK7tDwKiDgnf2mjsFOqXJ7VBMRE8/EDRdoNmePLDYVihXg+LRu/DWiZZ4XmyTaV3eU29Qcuu3D7utPsnyNnh98gI2NFC2+e/du1InT5dOnT7Ny5UoAPujViyFDhmjHaD0SGSGlJFhbpx2smlLEYmLev/Sd2/e/vjBYwUm5CpSg1u589pjbc2p8vZWfD9+V0xImd6nJnfn9TLrRXnb5aXByBPXE9ReIyuIKiq2trezPePnyJefOniUoKIgJ48ej0Wgo7+TEokWLtG63PoiKkqLjVSpVmvtTCkl0GoKTkOhKUArB0S0pHcVJfpWc8jo8ho9XnqLjogNy+n/N0kW4+F0vfhzU2KBXYfRJmSK2TE90ID8JDGP+vqw7kD8cPFh+vGPHDiZNnEhAQACWlpasXLkSW1vDTNDNKlHRUoSw5j0+mJSCEx/3bqxN0r2uyxrXusRg/ypri+Sl8Kx+o6bF9iuPcZm2lTVnPdBowNLcjNl96nNtTm/qG3n7mcGDBtG2TRvOnjmTa68xqXNNKic6jBcfuC23t8ksdevVo3JlqT3Ntm3bOHbsGACzZs/GxcVFu8bqEXMz6b5VKtP+aKlTjNbN0xgFJd3r1ib65Wewf1U+y+Q3Izw6+4LjHxLJmH/PsStF8FqTSsX5a0RLuYasMfPyxQtOnToFQFh47lWJszQ3Y9mwpnRadJDouAQmrDvP/smds3SNQYMHMyuFw7hHz54MGzYsU+d6P37MXTc34uPTvhdiY6Ve6UFBQezcuTPNY1QqFQ3q16d4idxrqGhpKZUkeZ/gxMUm93S3TsMJHR4jjXqMOQk4PQz2r7JLkc7wJirreSUaDaw+84ApGy8SEim9ybZWKn7o14Ax7V1MZo68dOlSnb1Wxxql6VWvPLuueXPg1jP23nhCD9dymT6/Zs2a8mMzM7NM+23i4uLo0KEDEREZ14h5/PgxY8eMee/+6tWrczRxdJUbWCaKSEJC2oF7MSkEJ61VrzeJ96qdntJ5chuDnVIVsLaQHcfBEbEZHJ0ar4BQ2i3Yz6d/n5bFpmON0rjN78e4DtWNWmxiYmLw9fXl9OnTjBo5krVr1+r09Zd+mOzr+iILDuTo6Gimf/ONvJ2QkJBh5nRKtLVq8z7firYoXkyqGvD6ddqtXlIuhedLw2+VlEZjLMXbsorBjnAUCihia0VAaBSvwqIydU6CWsPPh+/y7Y6rci5KEVsrlnzYmGHNKuemuWkSFxfHurVrsc2fn/79+2vlml9OmcL27du1cq3sUNY+P1/3qMPM7VfxfhXGwv23+L53vQzP+3bmTB48eJDquU0bN9K0adMMz1WpVBw9dgx3d3cS3jOlGjVqFAAVKlTgyy+/TPMYS0tLXN8KtNM21VxcOHXq1HsFx+txcsWBqlWrvrP/VZjkdDaUkizaxmAFB6C4nTUBoVFy5b/0uOvzmhF/n+Lq41fyc/0bVmDZ0KYUt9NPAa+DBw4wY8YMAGpUr07VatX0Yoe2+bJrLf4968mjl29YdOA2w5pVTrfI/b59+1i/fj0A4ydMYP++fTx+/JgDBw7ww/z5FCiQcYH8cuXKUa5cuffunzZtGiEhIRQuXPidlAJd4pL4Hr9+/Zon3t7v5HWljFROOcUEiIlPkMtS6OuezW0MdkoFUKpgPgD80hGcmPgEvt1xlbozd8hi41AoH7u/6MiWse3e+8b5+/szadIkJk2axPJff31n/4kTJ+T9169dy5b9SeH2oL2Q+wULF3Lv/n3558/EwDldYmluxi9DmwDSqsoX6y+899hnz57x5ZQpANSoUYPJkyfTL3G0FxMT814Hr7FSp04dQJq6/fX336n2BQQEsGnjRgAcHBwoXDh1c0e/4EiSZnxJ976pYdCC41hY+qf7BIWT1tT74qOXuM7YwZzdN4hLkLolfNa6Ku4L+tOzbrl0r128eHHOnD7N5k2bWLx4McHByd0OfX19GTNmDJs3beLK5ctUSWPoqy9sbGwoWLCg/FPorfB7XdGlVhn5f7zv5lMO3Hq3vktcXByjR40iNDQUS0tLlq9YgUqlom/fvrJPJukDaCqUK1+e5i1aANLftmXLFkJDQzl16hSjR42SAwPHT5jwzrnPUvSiSrr3TQ2DFpykthnRcQmpikqHR8cxYd15ms3eI/fErljcjhPTurPykxbYZSItQalUMnDgQED6YOzduxeQnJljx4wh9M0bOSgtXz7TfPNzytIPm8jxIhPWnX+npMLCBQu4eVMKEpw+fbqctOng4CD7bu7evZtm1rQxM2vWLGxsbIiOjmbiF19QxdmZwYMGcfHiRQCaNW+eZhrHkxS9qMrZ539nvylg0ILjVDR5bp8UaHbkrg81vt7GsqNuqDUazM2UfNm1Fnd+6EvraqXed6k0GThokBwvsWPHDgB+/fVXLl++DMDsOXOoZkJBadqmfNH8TOtWG5Den8UHbsv7rl+/zu+//w5A8xYtGPHpp6nO7ZfCib579+5ct1UbmCUG9b0vbSGJKlWqsG79+jTr8jRs2JClS5emuermFZBc4MvQGz9mF4N2GqcshXD9ySv+Onmftec85edqlSnC35+2pF757EUKOzo60rx5c06fPs21q1fZtXMnS376CZASDocOHZqzPyAP8FW32qw954lXQCjz991kaLNKlLPPT926dfH183vvef369aNfv346tDTn7MiCv6lx48acPn0aNzc3Hj9+jEqlolKlSmmuTCXh4S8JTqF8lia7SmXQI5wqpQrK9UG+2XpFFhtLczPm9q3P1dm9sy02SQxKkeMzZswY4uPjKe/kxGIDKpVgyFipzPh5SOYcyLmJvb19qt+GgEqlok6dOvTp04cePXqkKzYA9/0k90AVEy5ar/MRzhNv71SRniqVSq6C9jb5rVSULmzLs6BwucZx08ol+HtES6qUKqgVezp37kzhwoXluAkLC4tMJxPGxcVx7ty5VA7nlNy+nTzFOHvuHK/SWKlSAMWKF89UPIqh0q1OWbrXKcu+m0/Zc/0Jh2770LlWaZ3asOK33zh37hxdumS9Xo8hEJegxsM/BAAXR+NPuXkfOhec6dOnc/LkyVTP9enT572xGDXLFOFZUDhKhYJfhjbh83baTUtQqVRUqVKFCxekb+ZPPvkk08mEf/z+O/MTC2NnRFpL7ylZs2YNHTp2zNS1DJGfhzThmNtzKc9q/XnauPTD0lx3tahr1KhBjRo1dPZ62ua+X7CcKV6zdBE9W5N76HRKde7s2XfEBsDTw+O959QpK/3z1RoNveuV13pawvbt22WxAakYd2Z5X4JedsjtkPvcxqlYAaYmOpAfvnjDjykcyIKMufEkefRbp5zhTAu1jc5GOBqNhrlz56a5z9PTk3r166e5r265ZB/N1cev6FlXe0vU3o8f8/W0aameu3TpEt6PH1PeySnD80eOGoVL9ervbR+yb98+Dhw4AMCECRPSnsMrFJQsWZL67/n7jYmpiQ5k71dh/LD3JkOaVqKsiS7vapukoFUzpYLaZUx3hKMzwdmze7cc1m1mZkatWrW4ceMGkFwHNi0apGihe8nrZYYBfZklNjaWkSNHEhERQaFChRg3fjyzZ80CYNPmzXyTItHwfZibm9OqVav37g8MDJQFp0mTJnJAmKlibSE1Cey59AiRsfFM2nCRHRM66Nsso+DSo5cAuDgUxtYq/WV3Y0YnU6q4uDgWLFggb/cfMICOKfwV6QlOyYI2lE8MADzv+VJrNs2ePRs3NzdAKt49fPhw8ueXXmfb1q3vLS8gSJ8eruXoUqsMIPViP3LXR88WGT5h0XHc8ZEWLRpXKq5na3IXnQjOv2vWyK1NLSwsmDx5MhVTtApJT3AAmlUuCcDVxwFaaRB25PBhuVNAv3796Nq1K1ZWVnTr3h2Q6u7+d+JEjl8nr/LL0CZyQ7fxa88TEy/EOz0uPHwh96FqVjn3ioMZArkuOKGhoamKRA0fPpxSpUpRoUIF+Tk/Pz/C06lW17KqJDjRcQlcfJizUY6fnx8TJ04EpMC/ufPmyftSlpDYmNjWRJB1Kha3Y0qXWgB4vnjDkkPp93LK65y6nxwg2bJKST1akvvkuuCsWLFCjlOxtbWVk9bKly8vh4oDPHz48L3XSNlJ4bj78xzZ8+WUKYSEhKBUKvll2TJ5GgXQoEEDypYtC8CJ48czVWFO3yhT/A8zCrnXJV/3qCPnA83bcwOfoNwrf2rsHHfzBaTI+tJFTKOY/PvIVcF58eIFf6UonzBy5Eg5JV+lUlG6TBl5X3rTqvJF81MhMbfk6N2cCc6GjRvx8/fnua8vjRs3TrVPoVBw8dIl/Pz9eebjYxRJm02aNMHP3x8/f3/at2+vb3NkbCzMWfKh9P+NiIln0saLerbIMHkVFi0vibdzMf0WRbkqOIsWLSI6sW1G4cKFGZlYlS2JShUryo8fZuDH6VRTily98SQwVea4IZMyzN6QQu51Ra965eX3bfuVxxxzy9mXhSly5I6P3NY36X9lyuSa4Hh4eLBt61Z5e9z48e+kC6T042TkOO5SWxoNqTUaDqZRe8UQ6dylC/MXLGD5ihUmU+0vqywb2lSOOB6/7rzWeoyZCvtuPgWknLS80IQx1wTnh3nz5KXlkiVLMnz48HeOqZhihJOR4LSp5iC3zshOu1l9oFKp+Oijj+jdu7e+TdEblUrYMbmLVErzgV8ISw8LB3ISMfEJHL4jhQ20rlbKpONvksgVwbl48aLc6AxgwIABvHr1iufPn6f6sUzRJsPHx0euhpYWViozOtWURjnH3J4TFv1u10KBYfJND1fKJDpD5+65wfPXhu+M1wXH3XwJjZK6inxQ993aOaaI1gVHo9Ewd86cVM/9/PPPNKhf/52fcWPHpjrv0aNH6V67T33pTYmOS2DfjafaNl2QS+SzTHYgh0fHMVk4kAHYdsULkNIZPtBSBL2ho3XB2b9/v1xWMqtkNK3qXqesXNJy06X0xUlgWPSp70SHGo4AbL3sxX/3fPVskX6JjkuQXQOtqpaiWAHT7NLwNlrNpYqLi0tVrsHJyQlXV9d0zzl//jz+/v5AxoJja6Wie52ybL3sxZE7PgSGRZtsZTRTZNnQptT8Zhux8WrGrT3PrXl9UZkZdA24XGPfzadyl81BjStmcLTpoFXBWb9uHU+8k3t4//jTTzRq1Cjdc6Z+9RXr1q0DMhYcgA+bVGTrZS/iEtRsuviIcR2q58xogc5wLlmQSZ1rsmDfLe75BvPLkbtyRHJeI6l6pZXKjD71M65MYCpo7eslPDycJUuWyNvNmjfPUGwAnLKwNA7QuVYZefj5z5n319ERGCYzetaVo2ln77qOb3DecyD7h0TKq1M965ajYCa6jJgKWhOc33/7LVXjt6/e0271bZxS1J159vQpsbHp9xFXmSkZ0lRK/Lz5NJDr3q/SPV5gWOSzNOenwZIDOSw6ji83XdKzRbpnzVkPOVnz4xbOerZGt2hFcF6+fMmff/4pb7dq1eq9BbXepmKKEU5CQgJeGaxUAYxoWUV+vPLk/SxYKjAE+jVwksP4N196lCp50dRRazT8fUrqsV7WPj/tqzvq2SLdohXB+enHH4mMTE43mJLJ0Q1A6TJlUiUdZmZaVc2hEM2dpazajRcfybEMAuNh2bCmWJgr0Whg7L/niEvIGxHIx9ye8zixx9qnrapovWSuoZNjwQkICGBTilIObdu2zXBlKiXm5uaULp2cQ+Ljk7mCTSPbSOU6w6PjUvWqEhgHVUsVYkJHqei5u28wvx5107NFumHFManLqMpMmWqknldQaIy0endMfAJlJmwgIDSKyiXsuL9oQJ77tjB2wqPjqPLVFnyDIyhgbcGDRQMoWdBG32blGo9evsH5yy2oNRr6N6zAlrHt9G2SzjHaIAhLczNGt5USIj1fvGGviDw2OmytVPw4WFrJDI2KNXkH8pJDd+TM8KTRXV7DaAUH4PN2LnLk8fx92YtuFuiXgY0qyj3hN158yJkH/nq2KHd48SZSDuNoXLE4TUy8dvH7MGrBKVbAmk8SlxWveAWIgt1GyvJhzVCZJTqQ156Tl4xNiUX7b8v1uL/uUUfP1ugPoxYckHohJdVb+XbHNYzTI5W3qeZQiPEdpYjxuz6vWZ7oWDUV/IIj+OO/ewDUKWtPt9pl9WyR/jB6wSldxJZPW0ne/iteAey67p3BGQJD5Lte9ShVSCrp+v2ua0ZT1TEzzNp1najYeAC+712XvLy2YfSCAzDjA1e5ONfXWy7nmZgOUyK/lYrFAyUH8pvIWL7adFnPFmmHe77BrE7hu+nhWk6/BukZkxCcEnY2TE7RlmSFiQ3J8wqDGleU26Ssv+DJOc8XerYo50zeeFH2SS0elHFuoaljEoID8GWXWvKQfNaua7x88/7qgQLDRKGA5R81w9wsOQLZmB3Ie288kZM0+zVwoqmJN7nLDCYjOLZWKhYOaAhASKTpx3SYKtUdCzOuveRAvv0siN9P3NOzRdkjMjaeL9ZfAKSWOWJ0I2EyggPwYZNKtEgxJD/hnreryhkr3/euK0ccf7vjqlGOVmftvI73qzAAvulRh7L2+TM4I29gUoKjUMDvw5vLSYEjV58hMnF1QGA8FLC2YFGiAzkkMpZpW4zLgXzjSSBLErtTVC1ViC+71tavQQaESQkOSDEdX3eXAqu8AkL52shuVoHEh00qyRUB/j3nwYUc9pTXFbHxaj5eeYr4BDVKhYKVI1pgYW5yH7NsY5L/iW96uFKjtNRSePkxd07eyzv1VkwFyYHcNJUDOUFt+FGd3++8xh0fqRDdmPYuNBOO4lSYpOBYmCv5d2RrVGZK1BoNH608SXBEjL7NEmSRmqWLMKadCyBVd0yK1jVUznr4s+jALUBqADi/f0P9GmSAmKTggBRC/n3vegD4BIXzv9Vn9GyRIDvM6l2P4nZSDeuZ26/yKixazxalTXBEDEN+/48EtQZzMyVrR7aWg1EFyZis4ICUZ5W0arX9ymOD/4YUvIudTbIDOTgixiAdyBoNjPj7NM+CwgH49oO6NKqYN7PBM8KkBcdMqWD9qDYUsZV6V01cf0EUXTdChjatLAfNrTnjwaVHhuVA/vnIHXZdk3L4WlUtxTd5OBs8I0xacEBK7vx3ZGsUCqnbYb9fj/E6XPhzjAmFQiphYaZUoNZoGLv2vME4kM96+DN1szTqKlbAmg2j22CmzMPZmRlg8oID0LV2GaZ1k751vF+FMXDFcYO5YQWZo3bZIoxuKzmQr3u/MohuHc9fR9D/1+PEJagxUyrYNKatnF4jSJs8ITgAc/rWl3tbH3N7zlebReqDsTGnb325CeKM7VcI1KMDOSo2nl4/H5HLaPzQvwFtqjnozR5jIc8IjplSwabP21GhWAFAqi+76vQDPVslyAoFbSxYkJgv9zo8hq+36seBrNHA8JWnuJboDxzYqCJfdqmtF1uMjTwjOACFbS3ZM6kTBayl1qqj/zkr8q2MjOHNnWmcuAK0+rQHV7wCdG7DzB1X2XrZC4C65Yuy6rOWebqoVlbIU4ID4OJQiM1j2mGmVBCXoKbvsqO4PX+tb7MEmSSphEWSA3nMv+fkTgi64O9TD5i35wYAjoXzsWdiR2wsRLxNZslzggPQuVZplg1tCkjJgZ0XH8QnMYZCYPi4lrNnZBupRdA171dy69zcZv/Np4xecxaQKhTum9QZB+EkzhJ5UnBAajHzVWIW7/PXEXRafJCgcMOMYhW8y9y+9SmaX4qv+mbrlVx/7y48fMmA5ceJT1CjMlOybXx7apctkquvaYrkWcEBWDCgIUObVgak2rNdfjxEWHScnq0SZIZC+SyZn+hADgqPZvq2q7n2WrefBdHtp0NExsajUMDfn7akY43SGZ8oeIc8LTgKBaz6rCVdapUBpK4PPZYcFjV0jISPWzjTsEIxAP46eV9eNdImD/xC6LjogJz8u3hgY4Y1q6z118kr5GnBAeThcVLO1an7fnT76RARMUJ0DB2lQsGKj5qhVOSOA/mebzCtf9gnVxyc3tOVyV1qau36eZE8Lzgg1ZzdN6mT/G158p4fHRcdICQyVs+WCTKibvmi/K91VUAaoa4+7aGV6958GkireXvlwL6JnWoyt299rVw7LyMEJ5EC1hYc+aqr3PP5vOcLWs3bi3+I6TRkM1Xm9quPfaID+eutl3OcK3fqvh+tf9gnl8KY3KUmPw1unGM7BUJwUmFnI4lOWxcpRP32syCazNrNfb9gPVsmSI8itlb80K8BAIFh0czYfiXb19pyyYtOiw7yJnF0+22vuvw4qLEI7NMSQnDewtZKxYEpnenbwAmAJ4FhNJ29R0QkGzgjWlWhvlNRAFaevM+NJ4FZOl+jgXl7bjDot+PExCegVChYNrQpsxKLuAm0gxCcNLA0N2PL2HZM6FgDkAo/dV58kOXH3PRsmeB9SA7k5igVChLUWXMgR8XGM+SPE8zYfhWNBqwtzNkyth3jOlTPZavzHkJw3oNSoeDnIU3kTpBxCWrGrT3PJ3+dIjouQd/mCdKgvlNRRrSqAsClRy9ZcyZjB/KTwDCazdnDxguPAChuZ81/X3eTR7gC7aLQaHSYiGKkHHN7zsAVx2VnpGs5e7aNa49TYua5wHAIDIvG+avNvA6PoWh+KzwWD6RQPss0jz14+xnD/jgpRym7lrNn1xcdKVPEVpcm5ynECCcTtK/uyJVZvalVRgplv/EkkLozd7D9ymM9WyZ4G/v8VsxLdCC/Cotm5vZ3I5DjEtRM3XyZ7j8dlsVmaNPKnJvZU4hNLiNGOFkgMjaez9ec5d+znvJz/2tdlaVDmoiMYQNCrdHQ4LtdXPd+hZlSwbXZfeS8J6+AUD787QSXE8taWJqbsXRIE0a3raZPk/MMQnCywT9nPBi39pwcjexcsiDrR7ehXvmierZMkMRlrwCazNqNWqOhSaXinJv5AWvOejBh3Xk5X65icTs2j2lLXfG+6QwhONnkgV8Ig347zq2nUpdFlZmSb3rUYXpPV1RmYqZqCHz692m5qqNrOftUS+VDm1Zm+UdN5WJsAt0gBCcHxMQnMHP7VX46eEdegq1Zugh/jWhBg8Q0CYH+CAiNxmnShlR5cYXyWfLb8GYMbFRRj5blXYTgaIEzD/wZvvIk3q/CAGlJ/bPWVZnXr77cE0ugW+74BDFu7XnOPPCXn+tQw5FVn7bCsbAomqUvhOBoifDoOGZsv8ryY25yC5rCtpZ8+0FdPm/nIqZZOiIgNIrvdlzj79MPiE9QA9Ko5sdBjfi4RRWRoqBnhOBomWverxjz77lUxb0rFrdjTt96DGhYUdzwuUR4dBxLDt3hp0N3CI2S8qAUChjWrDILBzSS+5ML9IsQnFxArdHw71lPpm+7kirbvFaZInzfux49XcsJ4dESkbHx/HbcnUX7b8nZ3QANKxRj6ZAmcocHgWEgBCcXSfrW/fHg7VSlS2uXLcI3PVzpU788SqE82SI0Kpbfjt9j6eE7BIRGyc9XLG7H3L716d+wghB1A0QIjg54FRbNov23+O24e6rypZVL2DGlSy2GNquMlcpMjxYaDy/eRLLsiBu/n3BPVSCtdBFbZvR05eMWzsJfZsAIwdEhL95E8tPBO/x+wj3VUm1xO2vGtKvO6LbV5EJSgtS4+wbz08HbbLzwiJj45OTZsvb5mda9Nh+3cMbSXIi2oSMERw8EhUfz61E3lh9zT9XexNrCnL71nfhfm6o0q1xCjxYaBjHxCey86s1fp+5z6r4fKe9UF4dCfNWtNoMaV8zWiGbdunVERUWluU9lbo5t/vw4ODhQu3ZtbGxssvsnCN5CCI4eiYiJZ81ZD34+fJdHL9+k2lexuB0DGlVgQMMK1ChdWE8W6p74BDX/3fNjy2Uvdl3zlrslJNGmmgOTOtekS60y2fbRBAcH41Itc7lTZmZmdOrUia+mTqVSpUrZe0GBjBAcAyBBreHAracsP+bOcffnvP2OVCphR7faZelWpwzNnUuanI8iJDKWI3d82HfzKYfv+LzT1M7awpzBjSsytn11rTSfO3HiBEOHDMnSOebm5vy5ciWdO3fO8evnZYTgGBheAaFsOP+Q9Rce8vDFm3f2F7C2oGWVkrSr7kg7FweqORTSg5U5Iy5BzaVHLznu7stxt+dcefxKDtJLQqGA5s4lGdq0Mn0bOFHQRns5T4sXLWLp0qUAlCpVikGDB8v7YmJieOzlxcOHD3ny5AlxccmriyqVio2bNtG0aVOt2ZLXEIJjwNx8Gsiua97suvYEt+ev0zymhJ0NzZ1L0Ny5JC2qlKRG6cIGt9QeGRvP5UcBnPXw56yHPxcfvUyz75e5mZKWVUrSq155erqWy7UUhIEDB3Lm9GkABg0ezE8//ZTmcUFBQUyaOJFjx47Jz9WtV499+/blil15ASE4RsKTwDAO3/HhyB0f/rvnJ0fTvk0+S3OqlCpE1VIFqeZQiGqlClHNoRBOxQpgpsxdIYqKjeeBfwj3fIO55xvMfT/psVdA6DsjmCRKF7GlYw1HOtUsTVsXR62OZNJCrVZTrWpVQkNDAfjxxx8Z/OGH6Z4zY8YMVq9aJW8fPnKEmjVFQ7zsIATHCIlLUHPN+xWn7vtx6r4f5z1fZNgp1MJcSenCtpS1z0+pQjYUsLYgv5WK/FYqbBN/50/xXH5rFfEJGsKi4wiLiiU8Jo6wqDhpOzqOsOhYwqLiCImMxSconKdB4bwIicywcHkJOxtaVS1Fq6olaVW1FM4lC2rxP5Mxnp6etGrZUt7+7+RJqlSpku45gYGB1K9Xj5gYyYE9dOhQFi5alKt2miqiTJ0RojJT0rhicRpXLM7X3esQl6DmxpNALjx8wXXvQG4+DcTDP0ROIgWIjVfjFRCKV0Cozuy0sTCnZpki1ClbhPpOxWhauQSVitvpNQL4xvXr8mNbW1sqV864T7i9vT2dOndmz+7dAHh5eeWWeSaPEBwTQGWmpGGFYnKrYpBiWLwDwnj8KhSvl6HJvwNC8Xzxhrj3THGySgFrC5xL2uFUrAAVihVI9duxcD6D8yddTyE4tWvXRqnM3IpfmTJl5Md+/v7pHClIDyE4JoqluRlVShWkSqmC7+xTazRExsQTERNPREwckbHJjyNi4hP3xWGmVJLP0hwbS3PyWarIZ2me+KPCxkJ6bKUyN6qcpRs3bsiPXevWzfR59vb28uMXQnCyjRCcPIhSocA20XcDeadsQ3h4OB4eyb2qXOvUyfS5wa+TVwmtrfPO/0zbmFYEmUCQDrdu3UKtTp5KZmWE4/3kify4fPny2jQrTyEER5BnSOkwLl26dKppUkY8TSE45cqV06JVeQshOII8w/Vs+m8CAgJwc0vuK1/eSbQBzi5CcAR5hpspBKeuq2umz9u8aRPx8clxTs2bN9eqXXkJITiCPMHTp08JDEzuS1Unk4KjVqvZsGGDvF26dGnq16+vdfvyCkJwBHmClKMblUpFjRo1MnXezz//jI+Pj7z96WefoTCmOAADQwiOIE+Q0n9To0YNLCwyztk6e+YMS1IkdpYrX57hw4fnhnl5BiE4gjxByhWqzEyntm/fzieffCIvo6tUKpYsWYJKpco1G/MCIvBPYPLExMSkWmV6n8M4ODiYUydPsnPnTk6cOJFq348//USjRo1y1c68gMgWF5g8169do3v37vJ2vnz5KFiwoLwdFxdHcHBwqmJbSRQoUIBFixbRo2dPXZhq8ogRjsDkSem/AYiIiCAiIiLdc8zNzWnXrh2z58zB0dExN83LUwjBEZg89+/fz/CYwoUL4+DgQCkHB+rXq0fffv0oVqxYhucJsoaYUgkEAp0hVqkEAoHOEIIjEAh0hhAcgUCgM4TgCAQCnSEERyAQ6AwhOAKBQGcIwREIBDpDCI5AINAZQnAEAoHOEIIjEAh0hhAcgUCgM4TgCAQCnSEERyAQ6AwhOAKBQGcIwREIBDpDCI5AINAZQnAEAoHOEIIjEAh0hhAcgUCgM4TgCAQCnSEERyAQ6AwhOAKBQGcIwREIBDpDCI5AINAZQnAEAoHOEIIjEAh0hhAcgUCgM4TgCAQCnSEERyAQ6AwhOAKBQGcIwREIBDpDCI5AINAZQnAEAoHOEIIjEAh0hhAcgUCgM4TgCAQCnSEERyAQ6AwhOAKBQGcIwREIBDpDCI5AINAZQnAEAoHOEIIjEAh0hhAcgUCgM4TgCAQCnSEERyAQ6Iz/A0rhgrvUtjA6AAAAAElFTkSuQmCC",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/406.jpg"
}
] |
<image>Find the measure of x.
|
A
| 64,854 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/407.jpg"
}
] |
<image>Find the perimeter of the parallelogram. Round to the nearest tenth if necessary.
|
C
| 64,855 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/408.jpg"
}
] |
<image>Find the area of the blue region.
|
B
| 64,856 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/409.jpg"
}
] |
<image>In \odot K, M N = 16 and m \widehat M N = 98. Find the measure of L N. Round to the nearest hundredth.
|
C
| 64,857 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/410.jpg"
}
] |
<image>Find the area of the shaded sector. Round to the nearest tenth, if necessary.
|
D
| 64,858 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/411.jpg"
}
] |
<image>What is the area of the shaded region if r = 4.
|
C
| 64,859 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/412.jpg"
}
] |
<image>Find the value of the variable y in the figure.
|
A
| 64,860 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/413.jpg"
}
] |
<image>Find x.
|
C
| 64,861 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/414.jpg"
}
] |
<image>Find y.
|
C
| 64,862 | null |
C
|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAZsAAAEACAYAAABlOdt4AAA7NklEQVR4nO3deVhUdfvH8TcBCYgoICBCCAoo4ooh4q5hPtpiWrm2WGmlPfXTSlvMrMyeykzbXErL3HLJLbc0c1cCFFREElAWQVQEZJFBYZjfHywisgw4wzAz9+u6uq4RzhlujZnPnO9yHxOVSqVCCCGE0KL7dF2AEEIIwydhI4QQQuskbIQQQmidhI0QQgitk7ARQgihdRI2QghRwepVqwgODtZ1GQZFwkYIISqY9cFMrl65ousyDIqEjRBCVODm3orU1Mu6LsOgSNgIIUQFPXv1Ijn5oq7LMCgSNkIIIbROwkYIISpwdX2AY0eP6roMgyJhI4QQFTg7tyApIVHXZRgUCRshhKiCQqHQdQkGQ8JGCCEqaO/rC0BycrKOKzEcEjZCCCG0TsJGCCEqsLKyAuDatWs6rsRwSNgIIUQFLi4uANJFQIMkbIQQQmidhI0QQlTCP6A7YWFhui7DYEjYCCFEJdp4euq6BIMiYSOEEFXIzMzUdQkGQ8JGCCEq4e/vz+6du3RdhsGQsBFCGLzFixYTHBxMRkaGrksxWma6LkAIIbQtOfkiX33xBQCDhw6hZ8+edOjYEW9vbywtLSs9p7G1NQAZGRnY2dnVW62GSsJGGLkCsmKPsWPTVrbu2M2JJEva9htAv4cfY+SwXrhbm1ZyjpLc+KP8sf53flu7k+hsF7qNeIqxz47ikU6O8qJq4Hbv3HXH8Jh/QHfaeHri7++Po5MTzZs3x97enlatWgGQnp4uYaMB8roQRqyQtCPzefH5RUQrTWnmE8DAh/KJOfA7Px7czO+HPmL5vDG0vyNwlOSe/Y23n/2IvenNaNu7PwMUsRza8DUnNu3nzK+LeL+3Eya6+iuJMgqFoqy3WWFhYZXHhYWEEhYSytrVa8q+9srkSTg5OWm9RmMiYSOMlyKSDV+uJFrZmie//YmPH2uNhYmKwsyTrH73DWbv/oL3Ovmy9rWulA60qDJDWDTtC/YymJl/fMK4TvaYUUBmyELGj13ALx9v5PEdk+h4v8SNNmRkZJCeng4Ut5Ip3eEfExNDVlYWwB2hURuvTJ5E7z596NKlC5aWligUCj6Z9RFno6Lw8vLSzF/AiEnYCCOl4lZsMFtP52Ia8DYThnhgYQJggpltF8a8NoY1u+cStSWYuIldSsKjkGvBm/k5CnynTWBkJ/uSF5A5tt0f59k+v/LugWOEJ75IRy8LXf7l9Er5AElMTORGbi5A2YbKzMzMGleFlQ6FAXz86WysS+ZbSrs3Hzl8mDmfzK70vNFjxtCnb9+7hsqqmssRdSNhUwdbt2yhva+vfNrRawVcORdJAua49+1CK/PyVyIm3O/enu5WcP5CJOeuFNDxgftBdZXjfx6hAG8G9/Hijrcik+b4PjGR/3aGZoUFgHGHTUpKCnl5eUDdA2Tw0CHY2tpia2tbaYBYWVmV9TCrLf+A7rwxZQqBgYE1HptbUru4NxI2dfDWlKnMWzBfwkavFZF/Iwcl5lg1tqj6haDM4UZ+UfFjxUUiw9LAeQQPejaucGATfJ6YhI8WK9a18gFyNioKKH4jjo6OBuB8XBxhIaHVPkf5AJm3YD5QvOqrdDLe3t5eq5Pxo8eN5fnx49V+7Y4eN7bs7yfujYRNHZT2TBr2xBO6LkXUmTmOAS8xb0Eujds63jWhr7qZR04BYO6MY7Pil4kqPYnoq0ro4ICthWHMycTGxpY9rmuAjB43Fihu7zJ6zBigfgNEHfb29mzcuoXOnTvrtA5jJmFTB9IzyRCY0tRnAMMqvRRRcj3qOP8UgGn/7nRoXhI2+Te4rgTzVo40K8og+u9tbNvzD3HZ1rg92Jehjz5EV2crna9EKw2QvLw8EuLjAUhNvUxy8kUAjh09SlJCYrXPURogft26lQVI6bJgAFdXV72a07Czs6tT4DVt2pRdO3dqoSLjI2FTR9IzyXCpMkNYOncD13DjsZGBuJoAqMjPSOMqYG5+icP/m8B7yyJQlp60+3eWL+zJK99/zdu9NLv0ufwS3roGiJt7K3r26gXAkKFD8fb2BvQ7QOqDt7c3SxYu0nUZBkHCpg58fHyY9cFMXZchtECVG8nKd99hSZSC5iPfYfrDLiXBoaJQkUsOcHPfQj5rOYKv9yxjsHczyL3IibWf8/qnu1jyxtd02P4pQ5zNa/xZpVcgdV3CWz5ARo4ajbNzCwDcPTzK7jQp84qioZCwqYPSVTHCsKhyI1n51mQ+2Z2K3eCP+PnDwTib3X2NosxsxTPL3uARb5viL1i7EfDS+3wcGcXrW/9i/ZFX+c/THjVe3bwyceJdVyPll/C+/c47EiA65u7hARR/MJB/93sjYXMPpGeS4agYNHd3DijHqhNdPCt84DBpwYODu2O+9XdOnEok52kPbGr4mStXryYvL++elvAK7SoNeHHvJGzqoHSdv/RMMgy3g+Y6Pi8tZOG0IB6wqNgQ3QQLOyecgfNeHrhYV/z+fTSyssIcyItM4EoR2NTQU10CRn+ULvkWdSdhI/RK+cny0s2C5ZfqHjt6lB27dqk90X1n0Czgx/cGVjp0BiaYWVqhzudc81aONNP1kjShEaVDZwnx8bJs+h5J2NSBvb09UPxmJ+O4mqFOiFS32qp0qe7IUaNRKBTqhY3qGqELP2JOjUFT7D4ndzpYQWRsPCm5RXjdcelSSFbaVW5iSnMXexpL2AhxBwmbOigdOrshbSxqdK8hUrrjvPxy3dLJ8nud61BdC+W3n8Kh03TmvF190ADQxJueQS347Y/TnIzLpb9fuVkZ1WXC/z6BEg8eCvBAFhAbDv+A7sTExOi6DL0nYSPqpCGHiHqKyIkKYV+BOe6De9LOUo1LERMneowYQvM/fmHR578S+MPLBDg0AlUeF/euZulfaZh2eoGnAhx0vrFTaE4bT8+y5eii7iRs6mjw0CEG2bJG/0NEXbe4knCePIpI3/4l/42oajbGBv/JHzLRrylgim3vl/j8pZO8suxrxvX4na79vWl2PYZDJ5JQ2g/lw8/H0lGd4KqRkrSd0+k9edPtjaPqCpjD3rVjcZfEEw2IhE0d2dra1vlcXS2ZLt1EaNghoq5cUuIuAkquRx9jX5W9Ft1weqbg9h/NXOj/3jK29/mDtRt28Pefeznt0oPHJr3KiHHDCHTVVLuabGKOn6x90AA2fm1wlqDRmNJN3J/OmaPrUvSahM09qG3LmtjYWH5dvhxAo7+4le1EL23lXlMjRcMLEXU1p/+nB4n7tA6nmtni1f95ZvZ/Hq31kSi6StyJywBYPTaLJS90opFaJ5pg2bKdmscKdcgmbs2QsKkjf39/3poyVa1jS0OmfPsRdcJGEyFSvpGicYSIgchKIupsHmCNb2Afevi1kXkgHZNN3PdGwkaLgoODWbVyZaU3iYqNjZUQEVVQcTMmgr0FAJ706eAsQaNDsolbMyRs6qhxyaV1xU87KSkpHNi/n2VLl1Y7BzJk0MN3/FlCRNx2i9Tz/5INYN4OrwdkUEzoPwmbOiq9MVR6ejrp6emEhoSwfdu2Gm80VWrx0p/w8fGREBGVyCHh7Pnih+3b4t60ih5tol7IJm7NkLC5R1lZWZibm2Ntbc2jjz1GG09Pte5u2KpVKwkaUTnlJc4eSAHApqcPbjX0WBPaJZu4NUPCpo5KP+1cv36doKCgSvsmxcbGkpiYSER4OLt27rxjWE0+JYmqqFLPEZqsBKxpc38mUeHhapzVmJbtvWlhILerbohyaxU2qex6fRivb0ur/jBTN7r+pz8DB4/gqaGdcKipi4Uek7CpI3U+7Xh5eeHl5UVQUBDTpk8nJSWF42Fh7NmzRz4liSoUkRN3huJ4ySXim0mM/EaN06yeY+k/syRstGTw0CFle9LUkneB4wdqCBoAZRIRO1YQsWM1vx75ls2fDam5bZKekrCpRy4uLri4uBhc1wGhSTdJif2XWje09++AZxMZb9OW2m7iLkqJJTwHoCWPfPQZz3dqcvdBBZlcCNvOL/O3cE6p5Nr671n5ZE+mBzTTRMkNjoTNPTDUljVCh1TXiDlesjig35ccWP40rob5QVevNG3alPATJ9Q8WklWwjn+BaAtAf164OdR+YpCv4B+9G1tTtDkDeRxkYjz6agCmhnkUnf5KHQP7qVljRCVUiRx+lg6YI5nb19pO9NAeHt7q73SFPKIPxNFAYBLJ9q1vL+aY81w9OtJDwBMaWRuuJ//JWzuUW1b1ghRndvDL874ezkii571kOoq//4TD4B5T188GlX/iUGZmUYSAPa0aWljkFc1IGFzT/z9/SvtDiBE3ZQffmmDT6tKxvmFTrT39WXegvkoFIqaD865SHRkLmBFO183mlZ7cB4xR/YTB9DmcR7xa6aBahsmw71mE0Lv3CA2PLx4+MW1Gx3dpHNAQ1G6slQdyoQoDuUBuBLo41zNJ3oluVHr+OLLYKA1T707kq4auT1FwyRhcw+qalkjRJ2o0ogLvwSAeaA3rjKGpocKSD0XSfGW3Adwsszh8uWKawuLyM9IIPrYTn7+YS0RRd48+tk8Pggy7B54EjYVqDLDWffrQS6rANN2PPLqf/C6v/JfgfItayRsxD27foGT4bmAOa5NcrkQHq7mm48pTdza4dVcroQ0QXGzkItpNwBIu57PlevFQ2f/puTiamfBc4M8qzk7i7hTpftx/mb2438zu7ofZtuTV5Z9ydT+Lgb/Zmzof7/aUWUQ9tPHfLDwdMkXHsNj5CC8Wsg/k9A+5cUYQgoACoj/+U1G/azumb2Y+ddSvJprrzZ9V12AXM8rvjne3DMZNT7PtA41fKhUXiU2NFX9wjKPsWTqdJhv+IFjyH+3WlKRH72ZeUtOl/taHPGX8qFF5TdPkgZ9QnPKD7/UUpN2eLoY31WNpgJEozISOHO+AGhK77lb+eXpVpVcnRaRn3mR2ON/snTOt+xIOMaSl2bhsvcHxlaxH8cQSNiUKoxn+zdLOKFsSren+1G44Q9OcY34yzlA5WEjDfqE5pjj+vRi4p7WdR26lZGdz7XsmwAkXM4lN784NLQZIKVXK82szGnnUvxad2pmiUMzCwCa2zTC/uOjajyTiryYcA4qAdrSq4NjFcOg92Fh24qOg17mc/t8zo5YQLwyhG3ByYzxMNyb5EnYAFBI2v5f+Gp3Gri/whtTAtn35x+cysngZHwaSpxlv4MQdVRVgPwTW7xHLTOvkKUXsjX6M2sKkAccGmPZSNNvf8WthnIBrNrhVePVpgmWLVvhAcRruJKGSMIGUGUGs2TOOq7hxmPTn6FniwxONTWFHCVXE66QDVTVK0Ba1ghjZDwBUhvZJESVxEbHtrir0avu9oZOOzxbNjXYqxqQsAGyiVyzkJUJBZgGvMjkQS6YmIJLOxtIzqTgVAKXlWBbxaWNtKwRhkIC5B7djCdizyXAFJe+HXigpuRQZXBi2/biDZ0OD/Ofboa9olVP/i9qi4qCCzuYv+AflKY9eHPGcLzMTQAbnL0cYG8mJCdz5UYRPjZVf0qRljWioUpOu0HezUIAziQU/57mKgo5k5wDQEyagq1X1NgVryZ/azP6u9sA4GZvSUu74tBo3aIJVhbFbzfertXvqddXqkvnicgCcCLAu0X1Q++qHOK3LeDdhacBVwZNH0V3A+/abdxho0ph7zeLOVxgSvNnX2ZMR5uSb9yPrZMDEAN550m8cgtsLCp9Cn9/f96aMrXeShZCAqQhKiIn8RxRAFjT6Hoc4eHJlRxXQHbSWUK2r+HnvXEoscbnpY/4cHgbzOu34HpnxGGjJPPgz3y8NQnMh/He5N7Yll32mtPM0QlTQEkqSVcV4FV52AihCRIg+i6fxKjTJfchiuG3aeP4raZTbLszdvp0Xn/az6Dv0FnKeMNGcZJfZ6/iGk3xn/EKQ53Lf64wxbaFK02A66Rz/lI2KmwrnbwrbVmTkpKCi4tLfVQu9ERMclbZ4/oIkGFOlng7WALQwbUJ1pbFL28JkHqgSuNcqBprymx96Nnbnx59gxg4wJ+2zS0MelFAeUYaNnnErvueRecLoM2zTH3S+65LWFNHVzoAR8ji9IXL3KIVlS1kLG1Zk5dX63srCj1UGiB5+YVcuFwcGpcy8klKLw6NAwnZhOUWauznVRUgu06lsfRCNtM62PHlC1019vNEHZm04qlfT/KUrutowIwwbFQUJu1i3pwDKAHOf8/Yjt9Xe0Z2bCqZQIv6KE/Uu4YSIB3ci1c2WjUyw9WhcbXPUbpCTAh9YXxho7rM/h8WsregFueciOdSIVTWIq20Zc3ZqChpWdOA6GOACGHIjCxslGQe+5X/rbsApv68/O1bBDlXtQZEwb+/vc+HG5IgM56L1wrxqyRtpNtz/VCnD5amA2RCaxtsrYr/n/fwKg4Nawtz3Et65TW3aYRdFasUhRB3Mq6wyT/L79+sJQlz3Ma/zsShAeVWoFVUSMukzsVhw0VSrt6q/NKmRK70R6s1XTRSlAARQjeMKGwUXNj0A1+HZoH9SKZN6FFN0ACYYuPgiDWQSwrnkrOgk1WlRw4eOoTo6OhKv2dsJECEEJUxmrBRpe7ju3l7KaAp/q+Pr2b4rJQJFo6ueACRXOdcSmaVDTkNvWVN+TYm9RUg5e8bIgEihP4zjrBRXeXgwgVsS1dCmxeYNqqdWrt172vmiJspRCoLuJR4lRu0x6aKY8/HxWmyYq2TPlhCiPpkBK9sJTnh65i/Jg7wZOzMMXS1VHMblW0LPGyATMiLTOBKEVTWIs3f35+1q9dosug6kQARQjRURvAuYEqTbq+z9fzrtT/VzI8pEfFM0XhN6pMAEUIYAnnH0ID2vr7MWzBf7eMr64MF2gsQdfpgSYAIIbRJ3l00wMvLC8tmLcs2EkojRSGEuJOEzT2KSc6i7fzjGnkuCRAhhKGSsLlH3q5N8bc2q3Lnevk2JhIgQghjJWFTCykpKRwPC2PPnj24u7szbfp0AJ7r5kTYwRQAjrzQgVZO1tIHSwghypGwqUFKSgoH9u9n+7ZthIWEAsUdA1q2bFl2TO/2DlASNjfyCyVohBCiAgmbSpw6dYrgY8GsX7eWpIREoDhgFi/9CT8/v7uab3bxtC8bStsQcomHH5SbqAkhRHkSNoBCoeDkyZMcOXyYXTt3lgXMK5Mn0btPH9q2bVtjd+fSobSlF7L5IjtfWqkIYYBKWyeJ2jPasMnIyODcuXMcOXyYJQsXAeDm3oqRo0bTuUtnunTpgqWlpdrPV34o7XhMulzdCCFEOUYVNhkZGYSHh7N50yZ279wFFAfM2++8Q2DPQDp37lzn5y4/lHb8fKaEjRBClGPwYVPZBL9/QHc+/nQ2/QcMwMVFc6HwRHt7wkKvMCP0ClOfaCc78oUQooRBvhueOnWKM5GRd60gW7z0J3x8fDQaMOX183WA0CsAhMem06uDk1Z+jhBC6BuDCBuFQkFMTMxdK8hGjxvLSxMnVrqCTBv8vOzLHh+MSpOwEUKIEnobNuVXkJVO8MPtFWS1neDXBMtGZszp7sQMGUoTQog76NU7YekE/4H9+8vuH6OpCX5NkaE0IYS4W4MPm/ItYkpXkJVO8Hfo2LFBBEx5MpQmhBB3a5BhU9kKsgEPPaSVFWSaJkNpQghxtwbzLlhTi5jDhw7Rp2/fepnov1cylCaEEHfSWdjUtkVMe19fli1dWtZpuSGToTQhhLhTvYbNvbaIWbJwEU8MH46Xl1d9lVwnMpQmhBB30vo7oKZbxCyYP58fFi7URqkaJUNpokFQ5ZBw6A/W/7GdnVv+IRk3uo14irHPjuKRTo4NZxxdGDyt/q7FxsYyZNDDwL23iCm9mtm9cxdbt2xh2BNPaLJUjSs/lBZxIVPCRtQ/VRZnV7zP+Fk7ycCetr0fYoAilkMbvubEpv2c+XUR7/d2wkTXdQqjcJ82n9zLy4vFS3/i4NEj/LZuHeOeeUYjK8m+WbCAjIwMDVSoPZaNzJjWoXjOacWJKzquRhgfFbeiNzDjk51k2I/gi/0H2b5qKT/9vpM/543AThnBirnbiL6l0nWhwkhoNWwAgoKCNL5UOSkhkZkffKDR59SGoI6OAITlFnIyLl3H1QjjcpPE0ANEKk1xGjmSIR6Ni69gTBrjMWQkTzmbojx1gLDEm7ouVBgJrYeNtpQOpzVkD3rfHko7cjZNh5UI45NLStxFoBGOTs2441Z+Fs1wcmwEXCQuJVc35Qmjo7dhA/DWlKnExsbquowq2dlYMKG1DSBDaaK+mWHVpHENxzSmiaUsERD1Q6/DBuCViRMb9PzN0wEtARlKE/XNGo+Ovphzk9Tzl8gqPzVzI42kSzfB3JeOra11VqEwLnoTNlVdwZTO3ygUinquSD0ylCZ0w4zmgcN50deSa2uW8Vv4NQqheIXapt/YlmaJz8Th9GguVzaifuhN2FQn+uxZYmJidF1GpWQoTeiKiW0gU5ct5cPnzFg/8j8Me2YCE596nCeXZfLwBz/y05uB2Mq6Z1FP9DpsnnthPLv+2sO+AwcaXPfn8mQoTeheOueO/M3+E0kU5NwgNzeDjJxCXRcljIjehM21a9cYPHQI8xbM5+DRI7i5t8LS0rLBt64BGUoTuqCi8OIOZox+kTmh7kzZHMKZ+Hhi/w1h86yunP/uvwx/fjHhOUpdFyqMhN6ETWBgID8sXMiwJ57AxcWFIUOHsmvnTl2XpRYZShP1TnWZ/d99xcaEloyaNplhnRyxMAETC0c6DpvMW2M9UZ5extyNMRToulZhFPQmbCrq3acPSQmJnDp1StelqEWG0kS9yjnHoe2JYN6FQF+7O1vSmNjhG9gFc7I4GR7PdWkiIOqB3oZNly5dADgTGanbQtRUfijtdHymDisRxqDoSgJn8gBzKywbVXyZ30cjKyvMgYLEqxI2ol7obdhYWloyeOgQtm/bputS1GJnY8Ewp+LbJ2yKuKrjaoShM2nmSCtzoCAPxc2iCt8t4mZeHgWAVUd3nPT2XUDoE73+NRs+YgRhIaGkpKTouhS1jOha3Ctt6xUFyWk3dFyNMGQmTV3wdjeHgpMER2Vwx8WLKoOo4JMU0JQO7V2RbZ2iPuh12Pj4+AAQHR2t40rUM7CLc9njfSdTdViJMHj3ezFoXC9MiWPd3GXsvZhXEjg3SQtdx6I1cWA/mGcHtNLvNwGhN/T698zFxQX/gO5s3rRJ16WoxdWhsQyliXpihdfo6cwa7Ioy6kcm9enLo89MYOKTD9N71NecoCvjv3qDQc7mui5UGAm9DhuARx97jN07dzXYdjUVyVCaqDcWPoz9YSObvp3O2EdacyP4b/ZfaEzgyDeZt3kx7w5wkTt1inqj979rHTp2BODkyZMEBgbquJqaDeziDH8mAsVDac8N8tRxRfeiiPxrCcQmZWPm2BovVxv9/4UyNGaOdHp8Ep0en6TrSoSR0/srm86dO+Pm3oojhw/ruhS1GM5QWi6x699haMBDDB8xnMd6BzFu7mHSZBmtEKISeh82gF51EwDDGEoriv+DWTPOM3DxAc7ExxD2x2vYrp3D4mMN93YPQgjdMYiw0bduAvq/Kk1JevQJTvg9xTNBrbAwMce20+M8O0zJ3pPJSLctIURFBhE2+tZN4N6G0lTkhcyll3s/Zh64Vu1xhWmn2LpgGqP6+uLZph+j3prLmoMXyK1iqEuVe4GDq+fy9sh+tHX3oG3fMUxf8Aen0yrep96ERlbWNMq4Tk5ByZOpFGRfu4Vd40ZI13ohREUGETb61k0A7mUorYD0pAtUFzOgojB1H5+Pf4a3FuzkikN3BnSBkxsX8uHzz/P2isi7AkeVG8nKt57npRkL2RLbmICg/nTiNJsW/B9Pj/+GI2nl29HfR5PO/Xni+o+8P3sdR078w56FnzBrlw9P93UzjF8qIYRGGcz7gr51Eyg/lBZ6rha3Hcg/x58bgqsfqlJdZv/82SyPakbQx2vZ/vsv/LRxL//88RFB9qns/eRrNsbmlTvhBtG/fc6c3anYPf4VfwVvZ8XSX1i/ZwtfPO6GMmol87b8y61yZ5jY9mX66v8RlPUbU558ic+CW/LfVbMY2dpS/b+LEMJoGEzY6Fs3AVeHxvhbFy8U3nWq5rBR5WeSEnOENR/O4KvQrOqPTT7Cmo2J4DWG18Z0wNoEwBzbTsN5+ZmOoDzKmr9ib4dHUTJh20+ixJunxj2Eh0Xxr4WJhSdDxj2KE7lEbj9O4h0ttkyx9h7C/327leMJURxY9SHPBTjL0mchRKUMJmz0rZsAwHPdnABYeiGbjOz8Ko7KJ3b5M3i186Pfw8/y4frIGibgC7kWGco/SnPaPNGLtveXn0FpQoeHBtGGAhLCYrhSOpSWm0pcbB5gh5OdRbnjTbCwc8ARIDaelNyKDR2FEEI9BhM2oH/dBHq3dyh7fDymqnvcmNLEazD//b83Sv57iUd8qmudmM/l+AsUYE1LRxvubEZigrmzOz7moAw9w/mckvAws6RJU9Pqi21qjZWZTP0LIerGoEY99K2bQBdPe/ytzQjLLWRDyCUeftClkqPMadHrWab0Kv3zNQ6k/8WOKkcL80lPvQY0wdWhyV0rw0waWdHkjtbz94HlA3T0d4A/rnA+JRuVl0XJeUXcuJpCKmDu74uHpYSNEKJuDOrKRt+6CYC6Q2m1oMrhWnJOzccVpHL1eskKMxMneox7Gh/TONYt3EhEZvGNglW5UWxe8SfXTP14cVx3mkvWCCHqyKDCBvSvm4B6Q2m1oLrFjcyK+2JqYoptwGv8tGY24+5fx5iBw3huwguMHPo8P2f25d013zM1oLnsnxFC1JnBhY2+dRMoHUoD2BByScfVlMiM5tjeA0QkZZN74wY3rmWSUyhNz4QQdWdwYaNv3QRAC0NptZbPxR2zGTv2C8I83uD3sGhiE85zJmwTH/glsvC1UYz//jg5kjdCiDoyuLDRx24CGh1KM7mfxraNaj7OtAmNS/bTqNIO8f2Ha0mye5q33hxGRwcLTLgPC4dODHvzDUY5KIj6biGb7tgIKoQQ6jO4sIHb3QQyMvSjA7FGh9JMmtDctUnNxzVypHlTM6CInKij7EpXYh74IL7N7lwCbdKsLYGBDqD8l4i468jFjRCiLgwybHr16kVk9Fns7Ox0XYraNDeUZoG9c/Mqv6vKSiP5JuX2zdziSsJ58gBzGysa3bVW+n4sbe4Hskm8miNhI4SoE4MMG0tLSywt9atHV/mhtOik6tvRVM+CFh6tMecaZxLSuXPPvwrFpQRilGDa1h1nSxPAjGaOzpgDBdl53KyYJqpbKLJvAc3p4G5vmL8wQgitk/eOBqKLp33Z44NRtWjMeRczmnfsTg/TPP79J/p2SxoAcvj32DGu0BS//h1oYQJgSlNXD9yAguDjRF2/sxmO6vo5goPTwNQLn1ZqDM8JIUQlJGw0TJWfSuSBjfw0exqvPjOUB909aNv3SSa+Mo1Pf9zIkdhMCqs4d0734qG0GaFXUNys6qiambgGMvJRNwr+WsGyvYnkqwAKyDy9mR9XRYJpV/7Ts1VJKxsT7vcZwNiAppC2gXnf/83F/JLrocIrhP66lHVpYPfocAa4q7HwQAghKmFQ7Wp0qvAqp7evZuGCpexNqLBqKymc/UnhsPt3ln/mQLdJn/D5a4PwsL5zMr6frwOEXgEgPDadXh2c6laLiQuD3v2Q8XFTWD7xIbb4BOBnn0n4kWiu40rQZ9MZ5W11+3jzdoya/Q7BY2ayd9krDNjkQ89uTihiQolIysPU9xW+fDcIZ9nVKYSoIwmbe6aiMO04yz94k893JwOmNPN9jJFP96Orlxv2lqBITyLuzD9sX7GZiMw0Tiz6L2PSv2XzZ0NwLtfc0s/rzqG0OocNJpg5D+Td5avouHoVazbtZF9Mc7o9OZlhI0YxoqcbFhWOt/Aezfd/tmfnhk3s+fsAf+09TBOf3jw5ZQTjxg2mk4Nc1Qgh6s5EpVIZwAIjFXkhXzFo1HYGLt/I7P6VrcZSUXg9jiM7trB963a2habQxKc3A/sP4pGRj9PX4+6mler83MLUfXw+YQrLo3LBNpDxs2bw2qPtsb2rQ3LFUPLm+dW/MbPXnSvmPlt3hhklVzd5n/XDspF8HhB3m/5LBHPPZDCtgx1fvtBV1+UYPJO3/gZg4/A2jOjtrtti9JSBzNnUfKtkVdohvhg3gglltz3ug8eNMDYt+oCXnnqXlWezar+sN/9f1n/0UXHQ2A/lw9WLmPGEbyVBA2CCmcODjJ8xhSBzgBg27DpNdoWj+vneXpUWHquBXmlCCNEAGEbY1Hir5Gwi1y9mRZSC5iO/ZX/JbY837DvEpo+GYpe+kznvriFSUZu4yeXsys/5eHcymPbirV/m8Gz7pjVcHZlg9kB3hgwsHi7Li71ERoUfWXEoTQghDIFeh43at0q+Fc+RLSdQmvZh0oSHeKCkTQtm9nQa+zLjvcxRnt7Lkdgb6v5kCi5sY+6Xh1DSlG7vvsMLnZqpNwxn4kTAK58yb8F85k3sim2Fb1s2MtPYqjQhhGgo9HRCIJ/Y5RMY8tFRtY5WXYkh7EIBtPbHz73CZs/7XWgf4Ayx8YSdS0PVyVqN0MgiYsNKDhcADiOY9FT7ChPu1bmfFn7/YZhf1UdobFWa0IjktBvkNbDQz8xrWPUIURM9DZvSWyV3K/nzDeL3rKvy7pWq/BtcVwJWVlhUeWvjm1y/cQsV1Bw2mWH8vjQaMMdj7CME2NZwS+VaKj+U1vuXM8AZjT6/EELUNz0Nm9rdKtnEIYDXFsznhnVbHO9aJFbajsWGVo7qrEgrIvvUEf4sAGjHI/28qbQxTv5los9eQlHl85hg2bIdPi3uPrt0KK10VZoQQug7PQ2b2jFp5kPQEz6Vfu92O5ZB9O6ozt0o80mMOk0egFVXung2rvQoZfw2po74jLgqn6c1z6/+nZmVhA3cOZQ2p7sT7Vysa6xMGJ/ubR0q+aqStJ3T6T15UzWLZiozmM+PfMdTruaaKU6IcowibKqkukboT98Xt2MZ9ii9XO9X46QMLkQkFj90dcWpcWVrLAq5eu4M8dU9jWkHOrWuutdY+aE0G0szWdsvaiGbmOMnaxk0gHc3fJ0laIR2GG/YqLI4u2IWry8MR+kwlo/VbceizCDl35LdMW4OVD5dY4bzE99w7olvKny93MKGNh3wdqz6n9+ykRkTWtuw9EI2K05c4b+Pt1PzLyaMXtFV4k5cBsDqsVkseaETavV/sGyJh2anH4UoY5xho8ri7Ir3GT9rJxn2Q/nw1+n8x1nNdiyqQm7dqPVnxmJFiRzbHAGAVXcvXGp4YT8d0JKlF7IJyy3kZFz6HZ2hhahSVhJRZ/MAa3wD+9DDr00dumMIoVl6vc+mTioGzcrP1NiMWY6ZIx7dSnbHhJzhfJ66G0GVZB5ax6JTeUBT/Dp7UFPD/ge9b4fLkbPGssFTRV7IXHq592Pmgep6QlQ8LZld/9cPz9qeZ3BU3IyJYG8BgCd9OjhL0IgGwbjCplzQZPm+zKItc2sXNAA40GmgH6YAOQfZHZqmRpsbJblnf+O9t1aUtNTxoHtbhxp/rp2NBRNa2wCw4oSxrEyrufXQ3VQoIrexeHuSlmrSJ7dIPf9vcRsk83Z4PSANVEXDYDxhc0fQvMKSpW8y6AGrOnzqa4T7kHGMcjAF4lgz7XPWxWRXHTiFmcTu+Y7/PvsRe9NLht9q8SbwdEBLgLKhNINXY+uhShQmsGfpWqLqOLppWHJIOHu++GH7trg3lUkY0TAYyZyNkszQZbzzSWnQTKW/unM0lTCx7cvU7ycTMfY7otM288GQSPZNHMsjPdrzgE3Jah7FNeJjIzi0YQM7oq7TrPskFs1U8N6UZVz364hXM/XeBCoOpRnqvI0qP5NLSVEcXPplSeuhpmqeqSTzyEr+t+MWrq5WJCdrs0o9oLzE2QMpANj09MHNeD5OigbOOMJGdYV/Vm8gmh68+b/J9xQ0xUyxDXiNH5epmDJ1EScy49i3+BP2La7sUG8eef8rpo7tg2vMtwDY+LVR+0ZkpUNphrsqrXath+5SEMMfi7ZQ9OirjLdazae/abY6faNKPUdoshKwps39mUSFh9dwhg1undrQvMrOGkJohnGETU4Mx/ZehtbP0qddTdPy6mqEc/83Wf3XEA7s2cPB4OOEH/mHc5lKTN386BcQQM9evejRuxttm1tgAiW3g25JkJ+HektRSxj2qrTatR66UyFpB9aw6Hhbxm8Own39ai3WqQ+KyIk7Q3G85BLxzSRGVlx9X5H3+2zb5Ulld4ASQpOMImyKriRwJg+4tp25kyOqbJppFjCJryb6YVXF9+9mglnz9gSNbU/Q2JqPNvObyvGEqWo/eynDHkqrXeuhOygi2fDdNooencPwjjacW6/FMvXCTVJi/yWv5gPLWPduTyuZ1hH1wAjCpojclHjOA2RGc2xv1e9iVi3G0RB76WpuKK2A1J0fMGzyevKf+YUjn/bHRqOV1qcCUvevZXlUV177agDOJnmc03VJuqa6RszxksUB/b7kwPKncZXRMdFAGEjYNKf/pweJ+7Sy792HTf+POZ3wcX0XpVHlh9JikrPwdlV3Ar0cxRk2L95JBtTi6g3IC+HLh8bxY2oVy72snmPpP7Pob1N/s9GqnJOsX7yb+8bO53EvK6jV53kDpUji9LF0wBzP3r5qzwsKUR8MJGwMX/mhtH+i0+oQNvlc3L2G5adza/2zVTfSuXSteC6qr7fd3cvFzd2wqdcJ5jziNi5kYVRX3v8qAFt5UwWgKCWW8BwAZ/y9HJHRMdGQSNjoCTsbC4Y5WbL1ioJNEVd5bpBnrc5XZQbz05w/sXRrgWnS5dqde/0qiQXQqO/rzGsAQ2+qzBBW/hBBu9d/YoRXra7RDJiSrIRz/AtAG3xaaWohjBCaIavw9ciIro4AbL2iIDlN3VtYA+QRt3UF64oeZuKLfWq1Eu72nJcVbTyd0f2NDkr/LoN5dVQXmshVTYkbxIaHUwDg2o2ObtI5QDQsEjZ6ZGAX57LH+06mqn2eKu0Iy36IoN2LYxlU8bbYNSriZl4eBTSng7u9zn9hVKn7WfhdBO1eHE1/aYd/myqNuPBLAJgHeuMqY2iigdH1e4eoBVeHxgxzKg6LTRFX1Twrm8j1v7C5aDCvjuhQ+V1Fq1XI9aupFPAAnjq/gVsROedC+Ts9i6i5I+jo7oFn2X/+TFiVBCTx23h/PNvP4kB2kY7rrUfXL3AyPBewpkvX1jTTdT1CVGD0czYKhYLk5GS8vLx0XYpaRnR1ZOufiWVDaa4Old8ptJQq9TC//HwOv9c/JMjZHEWt1wfnkhJ3Ecz9sMoOYcUna1i3+W/O0ZaBw0cy7tkR9PVQ53bammCCmY0bvYOCKlmiXkhmTCgRSeDarTvejvW9aEG3lBdjCCkAaEnXNjU3eRWivhl92GzauJFZH8wkMvoslpa1/9xf3wZ2cYY/i+8Uuu9kavULBVSZRKxbwc77nmDJMG/MAUVtf6Aqh2vJOVC0ny9e3EZO08707dYHq5hQ9v38Eft+3cnr6xfzRjfbeniDM8HK7yUWLn2pku9d48AHTzJhFfR5fS6z+xvTnvgCUs9FkgJg2oGOrav/ACKELhj9MFqHjh0BOHnypG4LUZP6Q2kqCmL/YO535/B77Wl6VX5L0ZqpbnEj8yYo7Rn4wR+E7vudn5b+woZ9h9j00VDslKEs/PAXQjOl5bLumOP69GLiEuKJOz+PIQ4yYSMaHqMPm86dO+Pm3oojhw/ruhS1qbUqTZXG0ZWrCPd9iWlPFl/V1EmRPT1nrWT9piVMH+5D09KhKTN7Oo37L68FNEUZtYsdp9LVuK+PEMJYGX3YAIwcNZpdO3fqugy11bwqTUVB7C6WrLnF0FeH07XJPXzSNWuOl58ffn6ed3cGNn8Av75tgERColKLl90KIUQlJGyAzl06k5SQyKlTp3RdilpqHEpTpbD3h58J9x3NCwNctDiXYoZFY0uggNTUTPI18pwlrYcSDtZy3qWu5wkh6oOEDdClSxcAgo8F67aQWqh2KC0njmN/JaE8/SUjfFqXWx7cBr/xK8gD8la9gJ97P2YeqN0NmCtnSpMmlrLaRAhRJXl/ACwtLRk9biwHD+zn1Umv6roctfTwcShblXY28fqdS6DNbHDrF8TASsa1VJkxHDqRBG5+9PV2x82mutmcIrIPfEzv8SvI6zyLXZvH43XHx5N8Mq9kADZ4t3aswx4eIYSxkLAp0X/AANauXkNKSgouLi66LqdG3q5N8bc2Iyy3kA0hl3j4wXI1W/kxcdFPTLzrrNvhgVp9zu7D2sWDNkDk1TQy81VgVW5QLu8cB7bEAJ3xbyt7O4QQVZNhtBJ+fn4AHA8L03El6nuumxMASy9kk5F9rzMmKgqSQ9m2ZQtb90aTVbK07D73AJ4IaAqpf/Dz+pNkFhZ/Q5WfyF/zvmBZqhLTgMcZ5CN7O4QQVZOwKWFnZ8fgoUPYs2ePrktRW+/2DmWPj8ek3+OzqVDE7WDGlKm89V0IV0vXMZt78+SstwmyT2XvRyPoMfApJk54gZEPD2XSsghwH8fXX43Cy1yua4QQVZOwKadnz57s3rmLjIwMXZeili6e9vhbF4+Ebgi5pKWfYop1+7Es2L6er6c/xyCHaxzae5j4xj0ZO/1bNmyYySMPVHWjbSGEKGaiUqlkL16JlJQU+vXqzeKlPxEUFKTrctTy/R//8vrBFADSZ/XCzkbe+IXQNJO3/gZg4/A2jOjtrtti9JRc2ZTj4uKCf0B3IsLDdV2K2jQ7lCaEENohYVNBv/4DWLJwEQpFrVtW6kT9DKUJIcS9kbCpILBnIAAxMTE6rkR9ml2VJoQQmidhU0Hnzp0B/eomIENpQoiGTsKmEq9MnsT6dWt1XYbaZChNCNHQSdhUonefPiQlJBIbG6vrUtQmQ2lCiIZMwqYSpY05Q0NCdFtILZQfSotOytJhJUIIcTcJm0pYWloyeOgQtm/bputS1Nb2gaZljw9GpemwEiGEuJuETRWGjxhBWEio3nQTsGxkxpzuxUNpM0KvoLhZqOOKhBDiNgmbKvj4+AAQrkcbPPv53h5KC4+VVWlCiIZDwqYKpd0ENm/aREpKCqtXreK1yZMb9KIBPy/7sscylCaEaEjkfjZVOHXqFM2bO7Brxw5279xV9vUpU6fqsKrqlQ6lzQi9UvafEEI0BBI2Fezdu5fPPv2UpITESr/v6upazxXVTj9fB5CQEUI0MBI2FfTq1QsnJ6cqw8bSsmHf/NjPy55pHex0XYYQBsmpWcN+/TdkcouBSpTeaqAycQnx9VzNnU6dOsWZyEi2b9vGo489xrhnntFpPUIIoQ65sqmEi4sLK39bw7Njxuq6FBQKBSdPnuTI4cPs2rmz7Ipr9LixtG7TRsfVCSGEeuTKphpzv/ySJQsX3fG1+riySUlJ4XhYGHv27ClbnODm3oqRo0bTuUtnunTp0uCH84QQojwJm2ooFApeHD+esJDQsq9pK2xOnTpF8LFgDh7YX/bzBg8dQs+ePekeEICXl5dWfq4QQtQHCZsaxMbGMmTQw2V/1lTYZGRkEB4eTkR4+B1XT69MnkRXPz/8/Pyws5OJfiGEYZCwUcPqVauY9cFM4N7CJiUlhQP793Ps2LG7hscCewbi7e0tw2NC6FwR+ZfP8s/hYMJORRJ54hjHotPB1oeevbvh92Av+j3cly7OVpjoulQ9ImGjBoVCwSNDhpCUkFirsFEoFMTExBB8LJj169aWTe4PHjqEhx9+mAf9/XFxcbnX6oj+aTyPzQmt9ihTN38G9e1Jz6BHeKS3J03N5GUixJ1UFKadYuviL/nfsmCuV3eoaUee/PxzZj7VHmt5KalFwkZNwcHBPDtmLJHRZ6u9+igdHjuwfz9rV68p+/orkyfRu08f2rZtq9nhMVUiv48fxrsH1b2tgCl2gz9i+bwxtLc21VwdQui1m1wOWc6Hk+eyL10JWOEWNJoxA7vi1cYZG/NCslPPczZ4N+t/O0SyEsCNRxcs56snPGRZrxokbGrhgxkzeH78+Lsm62NjYwkNCWH7tm1lk/v+Ad3p138AgT0Dy241rRV5R5kd8Ay/5pjj8eIXfP5oq7sv7VV5XIk8zOblq9iXkAeYYvf4V2z8ehgPyBWOMHo3Sd0/n5cnLCFaaUqz7uN5790XeaRrSyzuenkoyT37G28/+xF705XgMIFf971HrybSZrImEja1EBsbS15eHt7e3pXufRk8dAjDR4zAx8dHA8Nj6imKXc6Tgz4mEjfGLN/I7P7NqzhSRWFaMD+8NpnvQrMAb55f/Rsze8kiBGHMVOTHrGXKmJnsTUfNq/4CUrdMY+CUrRTgzcvrNjA9wKbeKtZXcvWnppSUFBITE1m9ahWHDxwEiif3hwwdSu8+fXS090VJemwkZwHwobNn02qONcHMIZCX332B7SMWEE8MG3ad5v969UdeJsJoFfzLuplfsDddianv63z3uTrDy+a0eLAXAWzlCGnEpWaDvIpqJGFTjfKtYcoPj3386ewGsvflBvGRZ1ACuHakrbN5DcebYNl5ECO9f+CLmALyQmNJUfbHRqZuhFEqIHXHEj4PyQI6MeHD8XS3Ve/FYNJiCF/904dCTDCztq/5BCFhU15GRgbnzp3jyOHDd+x9GT1uLC9NnNjw9r4UpRJ9LBkAq/6+tFLndWJqg6ObNcRkQlouChlEFcaqKJH9aw9QAJj2f4bR3e3UX8psZk3zFtZaLM7wGH3YVNUa5u133mn4rWGykog6mwdY49v+AZrouh4h9EjR+SNs+CcLaMGQkb1wlbUyWmV0YVN+70vF1jAffzqb/gMG1Nvk/r1RcTM+iuACgJZ0beNQ+w1mbrbIIhphnG6SFHaISAB86O5jLxs0tcwowqa61jANcnhMLbdI/fc0qQDmfnT1bqzeaYVXiT+RCYBVR3ecJGyEUcoh4ez54oe2HWn3QCPdlmMEDD5sFi9azFdffAEUT+6//c472t/7Ui/KvVjat8W9qXoTm6qL/xKSCWBLt86tZOhNGCdVFpdiM4ofd3LFURbJaJ3Bh03nLp2Zt2C+hlrDNCDKq8SGpgJg3c0LF7WuUAq5fCqEcADa07+LswwdCOOkzOJqTG7xY3Nz1N/brKIgOYw/j1+iiKZ49++LTzNJKnUYfNgEBgbqugStUKVGcTSmAHCg34OtsVLrpIsc3XIYJWDafxgDPS20W6QQhkaVxtElM5i6Mg7THnP483EJGnXJiL1eUqFIPMdJADzo4NFMvXMi/mDJgUzAk1Hj+8nqG2G8TO1x7VSyCTrkDOfz1NkDoCQnfB3z18QBnox6NQh3eQdVm/xT6aV8Es9GkgvQpCPtW6lxhVIQx+ZvVxIPmAY8w7O96rB6TQhDYeKIb++2xY9z9rPt6GWqjxsluTG/88HL3xClNKX5qGm83s9RXkO1IGGjl66TcLrkVgd+bWllWcOvfOFljnz9Lh8fSAfTvrw960m8zOVlIoyZBZ79huJvCnCB39/9lBWn0yms7FBVHslHf+LNMTPYka7EtPs0fpz5EA7yEqoVg5+zMUg3k4g8lAaY4tK9Lc7V/NKrcuP48+vpTPk5AiWuDPp8JuPby85nYexMMPcaxntv/cXTXx5Fmb6T2Y+HsX3kswzv1xFPZxvMCrJJPX+Gf3b+zvojiSgxxW7wbLk9Rx1J2OihoqRogrMAbGjFFU6Fh999UEEWF08fZOPKDRxLygNcCfp4IXOf8qSmDmpCGAWTZnR6eS4rzL/gvc+3kqRMI2L910Ssr+RY20DGfzCdV4Z1xkFuy1EncosBvaMk868P6DlxLQVqHW9Ks27jeHvGazzl5yifLoS4SwFZ8REcO3iA/UdCCN0fTrLSnra9H8S3bVe69+lF7x7taWEhsw73QsJG7+QQPn8cI7+JrOYYK1y79aR7lwfpPmAgg3rIbaCFELolYSOEEELr5LpQCCGE1knYCCGE0DoJGyGEEFonYSOEEELrJGyEEEJonYSNEEIIrZOwEUIIoXUSNkIIIbROwkYIIYTWSdgIIYTQOgkbIYQQWidhI4QQQuskbIQQQmidhI0QQgitk7ARQgihdRI2QgghtE7CRgghhNZJ2AghhNA6CRshhBBaJ2EjhBBC6yRshBBCaJ2EjRBCCK2TsBFCCKF1EjZCCCG0TsJGCCGE1knYCCGE0DoJGyGEEFonYSOEEELrJGyEEEJonYSNEEIIrZOwEUIIoXUSNkIIIbROwkYIIYTWSdgIIYTQOgkbIYQQWvf/x1KS5f7iyooAAAAASUVORK5CYII=",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/415.jpg"
}
] |
<image>Polygon A B C D \sim polygon A E F G, m \angle A G F = 108, G F = 14, A D = 12, D G = 4.5, E F = 8, and A B = 26. Find scale factor of trapezoid A B C D to trapezoid A E F G.
|
A
| 64,863 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/416.jpg"
}
] |
<image>Find the perimeter of the figure. Round to the nearest hundredth, if necessary.
|
A
| 64,864 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/417.jpg"
}
] |
<image>Find x.
|
B
| 64,865 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/418.jpg"
}
] |
<image>If G H \cong H K, H J \cong Y K, and m \angle G J K = 100, what is the measure of \angle H G K?
|
C
| 64,866 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/419.jpg"
}
] |
<image>Find x. Round the angle measure to the nearest degree.
|
B
| 64,867 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/420.jpg"
}
] |
<image>Find the perimeter of the triangle.
|
C
| 64,868 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/421.jpg"
}
] |
<image>Find the measure of \angle 4 if m \angle 4 = m \angle 5.
|
A
| 64,869 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/422.jpg"
}
] |
<image>Find m \widehat Y C.
|
B
| 64,870 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/423.jpg"
}
] |
<image>Find x.
|
B
| 64,871 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/424.jpg"
}
] |
<image>Find x.
|
A
| 64,872 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/425.jpg"
}
] |
<image>If J, P, and L are the midpoints of K H, H M and M K, respectively. Find y.
|
C
| 64,873 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/426.jpg"
}
] |
<image>Quadrilateral A B C D is a rectangle. m \angle 2 = 40. Find m \angle 6.
|
B
| 64,874 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/427.jpg"
}
] |
<image>In the figure, m \angle 11 = 62 and m \angle 14 = 38. Find the measure of \angle 6.
|
A
| 64,875 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/428.jpg"
}
] |
<image>Find x.
|
C
| 64,876 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/429.jpg"
}
] |
<image>Use parallelogram M N P R to find z.
|
A
| 64,877 | null |
A
|
[
{
"bytes": "iVBORw0KGgoAAAANSUhEUgAAAdEAAADTCAYAAADefCkkAAABRmlDQ1BJQ0MgUHJvZmlsZQAAeJxjYGASSSwoyGFhYGDIzSspCnJ3UoiIjFJgf8LAzMDHIMQgw8CdmFxc4BgQ4ANUwgCjUcG3awyMIPqyLsisy79j76nNu7c/WdpE/GtOzxpM9SiAKyW1OBlI/wHi9OSCohIGBsYUIFu5vKQAxO4AskWKgI4CsueA2OkQ9gYQOwnCPgJWExLkDGTfALIFkjMSgWYwvgCydZKQxNOR2FB7QYDXxdXHRyHY1cjc0NKDgHtJBiWpFSUg2jm/oLIoMz2jRMERGEqpCp55yXo6CkYGRgYMDKAwh6j+fAMcloxiHAixlHYGBmMtoCAXQizrCQPDnukMDIKnEGLq2UBv2TEwHIgsSCxKhDuA8RtLcZqxEYTNvZ2BgXXa//+fwxkY2DUZGP5e////9/b///8uY2BgvgXU+w0AsPZgV/rsOw0AADHQSURBVHic7d15WFNX3gfwbxJ2URARkEVRUcHdoqi4gVq3VlvrVqutVXHp1Gp9a5d3Oq1TbTttp9PpzNvW3VqtqK21rVrHBRcEBVE7alFAQVAWBUX2LYTc94+YC5EAIQaSkO/neXie5N6b8JNc7y/n3N85RyIISgFERETUaFJjB0BERGSumESJiIj0xCRKRESkJyZRIiIiPTGJEhER6YlJlIiISE9MokRERHpiEiUiItITkygREZGemESJiIj0xCRKGi7dyjV2CEREZoNJlERH/8hAVNIdY4dBRGQ2mEQJAJBXUoGFmyPRy9vF2KEQEZkNJlECACzbfgYZD0rQ27utsUMhIjIbTKKEH87dRPjZZLi1sYdbG3tjh0NEZDaYRC1cVl4p/rQtGgDYCiUiaiQmUQsmCEDYlkjkFpcDAO+HEhE1EpOoBdtw8hr+czldfM6WKBFR4zCJWqjk7EKsCo/V2NabLVEiokZhErVAVUoB8zacREmFQtwmkQC9vNgSJSJqDCZRCyMIwPIdZ3D2RrbGdh8XRzg52BgpKiIi88QkamHe2h2LbyKu1drOrlwiosZjErUgq/ddwOeHrmjd18HZoZmjISIyf0yiFuLTg5ew5uff69wvk0qaMRoiMidlcgXSc4uNHYZJYhK1AP8+Go939sTVe4xUwiRKRNr9+cfzsLWWGTsMk8Qk2sJtPpWI178/2+BxbIkSkTYnrmVhV0wypwStA5NoC/b9mRtYsjUKgtDwsVImUSJ6REGpHPM3nuLwt3owibZQP51PxfxNkVA+kkHr6rVlDiWiRy3fcRa3c4tZvV8PK2MHQIZ3+Eo6wjZHoo+3CwK8nBHg6YwAz7aoUiox66vjAABbKxkqFFXia2RSfp8iomr7LqRie/R1AEAvTglaJybRFii4mzty18+rVSwUtvk0AFVr9JNZQVi5M0bcx5YoEallF5Rh6dYo8TlbonVj86MFamNvUyuB5pfKsSsmGQAwyt8Tr0/og1fG9BT3syVKRGqLtpzGvSLV6k6cErR+vHJaiB3R11EqV82Vu3R0AADgizlD0b9TOwBsiRKRypbIRBz47y3xOacErR+TqAUQBGD9iQQAgLuTPaYO7AwAsLOWYc+ysWhtZ83qXCJC6r0irPw+RmMbu3LrxyRqAaKS7uBaZh4AYMHIHrCxqv7Yu3s4Yd38ERwnSmThCkrlmPF/x1BUXqmxnesM14+FRRZg3XHVhPNSiQSLH3bl1jQn2I9TehFZsJIKBZ76x2FcTL1fa19vH7ZE68OWaAuXU1iGfRdSAQAT+/nA17W11uN82jk2Z1hEZCLK5ApM+eIwzly/q3W/j0urZo7IvDCJtnBbI5MgVygBAEtH92zgaCKyJHKFEtP/HYET17LqPIaV+/XjX6cFUwoCNp5UFRR1bOeIif18jBwREZkKRZUSs78+jkOXb9d7HMsl6sck2oIduZKB1HtFAIDFoQEsHiIiAKov2PM2nhJv9dSHLdH68a/Tgq0/oSoospZJsTCkh5GjISJTIAjA4i1RCD+brNPx/O5dPybRFio9txi/XVJ10zwb6AsPJwcjR0REpmD5jjPYEpmo8/EcQ14/DnFpoTadSkSVUrWCy9IxLCgiIuDt3eew/kQCuns4IcCr7cPFKZxx8loWtkVd1/oa3gaqH5NoC1RZpRS/afbo4IzQAE8jR0REpuDlkT2wZvpA2FrJxG1yhRJv7T4HAAjwaov2jnY4nXRH3P/oPNykid25LdD+328hK68UALBkdECda4gSkWUJ8HTWSKAA8POFVGQXlAEAXhkdgPBXR8O1tZ24n0m0fkyiLdD6hzMU2dtYYd7w7kaOhohMmXpe7Va2VnhxeHd4tW2F7UtCxS/f7M6tH5NoC3PjbgGOX8sEAMwc3AUujrZGjoiITFVCVj4iE1UTLTw/xA/OD1drmdjPB29O6geALdGGMIm2MBtOJkBQ1RNxhiIiqteGE9eqrxdjNOfV/nDGIAz1c2dLtAEsLGpByiursO20qsKuf6d2GOLnZuSIiMhUlcoV2B59AwAwsHN7DOzcXmO/tUyKPcvGwLkVe7PqwyTagvwYdxO5xarV6NkKJaL67IlNQV5JBYDarVA1LkzRMHbntiDqgqLWdtZ4IdjPyNEQkSlTFxQ5O9jg+SG8XuiLSbSFuJL+AGdvZAMA5g7rhtZ21kaOiIhM1e9p9xGXkgMAeHF4d7SyZaekvphEWwh1KxTgDEVEVD/1vNoAsHS09q5c0g2TaAtQVF6J78+oCgSCu7mjL1eiJ6I6FJTKxcnnR/p3QE+vtkaOyLwxibYA4WeTUVReCYCtUCKq3/dnb6CkQgGArVBDYBJtAdRdM+0c7TAjqIuRoyEiU7b+uKqgyK2NPaYN4vXicTGJmrnY5BxcupULAHh5ZHfYWcsaeIXK//37/zBm9BhER0U3ZXgW4+TJkxgzegz+uvqvDR6bk5ODtWvW4rmpz2Hqs1Px4Ycf4t69e00f5GPKzc3F+HHjsShskbFDaREac84AwP79+7F06VKMHzceYQvDcPTI0Ub/zujrdxGf8QAAMH9kD9hYMQU8LokgPFwvi8zSyxtP4buo65BIgKTPZqGbh1ODr8nIyMCI4SPg7OyM2HOxsLXlYOrHVV5ejiGDh+DevXs4cvQIevfurfW4+Ph4zJo5C3l5eRrbPT098dtvv8Hdw705wtXLO2+/g+3bt2Pt2rVYGLbQ2OGYPV3PGQBYuXIl9uzeU2v7m2+9iZUrV+r8O+euO4GdZ5MhlUhw4/NZ6OLWRq/YqRq/hpixB8UV+OHcTQDAmJ5eOiVQAPjoo49QUVGBpa8sZQI1EDs7OyxbtgyCIGDNB2u0HiMIApa/thx5eXkI6BmATZs34euvv4avry+ysrLw2muvNXPUuktKSsLOnTvh6uqKuS/ONXY4LYIu5wwAHDx4EHt274FMJsPyFcsRvisc8xfMBwD8/bO/IzY2Vqffd6+oHHvjUgEA4/p4M4EaCJOoGfsu+jrK5A8LBHQsKLpy5Qp+/eVX2NvbY/bs2U0ZnsV58aUX4e7ujujoaERH1+4mv3XrFhITE+Ho6Ig9e/bgqaeewtTnpmLX7l2wtrZGTEwMiouLjRB5wz7++GNUVVVh9guz+cXLgBo6ZwDgyOEjAIClryzFO++8g5CQEHz00Ud4fvbzAICIiAidfte200moUFSp3osFRQbDEbZmShCADQ9nHPFs64ApT3TS6XWbN20GAEx5ZgratKn9TTR8ZzgqFZV1vt7ayhozZ82ElZX5nDqFhYX4/vvvERsTi+zsbNjb22NQ0CBMmDABgYGBOr3HnBfm4O7du1i9ejVGjhqp9RhbW1tMnToV69evx5YtWzB8+HCN/RnpGQAAV1dXuLq6its7deoEl3YuyL6bjfT0dAQEmNYFLi01DRHHIiCVSjF3bsOt0KNHjuLTTz+Fr68vtmzdUu+xhvhsTE1ycjK2b9+O69ev4/79++japStGjx6N6TOmQybTrFlo6JwBgPT0dACAv7+/xvbAJwKxe9dupKWmNRiTUhDE64VPO0c8PUC36wU1zHyuhKThZEIWku7kAwAWjvKHtazhToX79+9j//79AICZM2fW2l9RUYFVq1Y1+D4hoSHw9PRsVLzG8scffyBsYZh4IVKLi4vDum/W4a233sLyFcvrfY/su9k4efIkAKCouKjeY6c8MwXr16/HsaPHkJ6eDh8fH3Ff7z69IZFIkJaWhosXLiJwoCpJXL16Ffdy7kEikWgcbyq+/fZbCIKAoUOH6hRfREQEEhISIAj1l1sY4rMxNVs2b8GaNWtQWVn9RfTa1Ws4cOAAftr3E7799lu0atVK4zX1nTMA0LdfX8TFxWHvj3sxbdo0cbv6nOzUqeGEeCw+Eyk5hQCAsFH+XJnFgNida6bUMxTJpBIsCvFv4GiVPbv3QC6Xw87ODgMHDqy1/07WHfGxra0tHBwctP5IzGR9waqqKix7dZl4kXZzc8OUZ6Zg+IjhkEqlUCqV+OSTT3D8+PF63+fLL7/U+Xf2798fnTp1glKpxO5duzX2OTs7Izg4GAAwZ84cvPvnd/HmqjfxzJRnoFQqMW78ODg6mtaE33K5HHv2qApahg0f1uDxKSkp2H9gf4PHGeqzMSUnT57E6tWrUVlZCRsbG4wdOxYTJ05E27aqyQyio6Kx7pt1tV5X3zkDABMmTIBEIkFkZCQmPz0ZX3zxBcY9OQ6HDh2CTCbDM88+02Bs6uuFlUyKMB2vF6QjQVAK/DGvn6y8YsF63kYBc9cLU774j86vmzFjutDBw0OYPm2a1v3R0VFCBw8PoYOHh5B686bR/52P+7Pvp5/Ef8/0adMEhaJS3BcRcUzw7NBB6ODhITw1aZLG68rLy4SMjHTh1KmTwpLFi8X36ODhIRw8eKDB3/v66yuEDh4ewqSJE2vtu3//njB06BCN9+zg4SGMDg0VsrPvGv1v9ujPuXOxYowxMWdr7Vcqq4QHD3KFpKREYd26b4QnBgwQjw8NCTH4Z2PKP0+OHSt08PAQvL28hAvnz4vbs7PvCp06dhQ6eHgIPQMCGn3OCIJS2LBhfa1zxsfbW9i8aVODcWU8KBKsHl4vpv3riNH/Ti3th925ZmhrZBIqq5QAdF/yrLKyEhcvXAQADBk6ROsxWVmqFe6tra3h09H0uhUbq2bV4sd/+1jjftSYMWMwfMRwRJ2OwpUrV6BQKMT7vG+uehN79+7V+/f26tkLAHD58mUUFBTAyam6arpdu3Y4deoUoqKicPTIUcgr5QgMDMSsWbNgbW16iwbExMQAAGxsbPDEE0/U2n/79m0MHTK00e+r72djquLj4xEfHw8AeHry02JXPaBqZQcHB+PUqVPIy8tDTk4O3Nw01/qt75wBgMWLF2PcuHE4cuQIfr/4Ozp36YzJkyejV69eDca26WQiFOrrBWc0MzjTPjOpliqlgI0nVQUCndu3xvi+3jq97srlKygrKwMA+HXVvuxRZmYmANU9lkcLIMxRapqqnL9du3bo1q1brf29e/VG1OkoKBQKZGRkwNfX1yC/t2cv1YVKqVQiJiYGEyZM0NhvY2ODMWPGYMyYMQb5fU0pNkaV7Hx8fGBjY2Ow9zXWZ9NUrly+Ij5+5ZVXau3/3z//LyZPngypVForQQINnzMA4OvriyVLljQqLkWVEptPJQIAunk4YUxPr0a9nhrGJGpmDl2+jdu5qmEQi0MDINXx/uSt27fEx+p7NI/KylS1RLt0bfxUYNu2bcOVK6oLydKlS9G9e3dxX2VlJT744AOUlpaiXbt2ePfdd3V6z5ycHMjlcri7u+vVSisuUv2d2rdvr3W/zKr6i0JZaZn4+JNPP8GatdXj9qKjo7F40WKdf2+XLtV/v9u3b+v8OlOkPm/aumg/Z3x8fHAt4ZrGttnPz8bly5frfV99PxvANM81dSvUzs4Offr0qbW/T58+WrerNdU5c+C/t5GZVwIAWBIaADMpZzArTKJmRj3vpY2VFAtG9dD5dXkPqmfIcWmnfZUXdXdu1y5dceDAAZyOPI20tDT4B/gjKCgI48aNq3OMoI21jVgU0aZ1G/z1g7+K+/728d+wdctWAMCnn32qc8wLFyzExYsXsWbNGoQtCtP5dWqvLX8NN1Nuor2b9gt1zaEBXt7V39DVBVRqzs7Ojfq9rVu3Fh/n5OQ06rWmRn3euLhoP2ekUmmtv4+dnV2D76vvZwOY5rkWf1WVRDt36SwW3l2/fh3p6eno06dPre7bRzXVOaOeV9vOWoaXR3Zv4GjSB5OoGUm7X4TDV1TVjNMGdYFbG3udX5ufny8+ruuCqE6iO8N3Yt266irCM2fOYMvmLQgKCsJ327/T2h015ZkpWL16NUpKSvDrr7/ivfffg0wmw+nI09iwYYN4zIsvvqhzzGqKKkWjXwMAEydOrHNfZmamOESgc5fOWsfM6svBwUGsML1/777B3re5KZVKFBWphvTUdc7o63E+G1M819SV7Z06dkLU6SisXLlS/P8EqLpiv/zXlwgKCtL6+qY4Z1JyChERr7pFMyOoC9o5NvzlhhqPQ1zMyMYTCVA+HHvX2BlH8gvyxcd1DaNQ/6cvLCiEtbU1Bg8ejMCBgWL3VlxcHBbMX6D1tY6Ojpg8ZTIAIDs7G2eiz+DBgwdYsWIFBEGAb2dffP75542KuamUlZXh5Xkvo6RE1c01b948g76/RCIRW2OmOgORLoqKiqBUqgpSWju2buBow9DlszHFc628vBwAcOfOHSxatEgjgQJAWloaZkyfUeek8U1xzmyoeb1gQVGTYRI1E3KFEltPJwEAenq1xYgeHRr1+prdk+oCo5qKi4tRWKgajO3h4YG483H4+ZefceDAAURFR8HDwwOAqlrz0qVLWn/HnBfmiI/37t2LlStXIjs7GzY2Nti0aZNJjIGsrKzEq396FVevXgUADBkyBC+//LJBf0dVVZX4N3Zy1m0+Y1Nkb1/d06HtnDG0xnw2pnauVVRUAFBV15aWluL91e/j5KmT+O3Qb5gzRxVrZWUl/vrBX1FVVVXr9YY+ZyoUVfj24fWir48LgruZ7sIG5o7duWbi5wupyC5Q/SdbOrrxBQLtXavvPRUXF8PdXfM/la2tLT5Y8wEqKysRGhKqsb9jx4746OOPsHCBauWOH3/8Ef3796/1OwIHBqJ79+64fv26xhCRD9Z8oFMpflOTy+VYvHix2BoICAjAtu+2GbTqFFB1nQsPWwBtnbUX5JgDGxsbtHFqg8KCwgZnanpcjf1sTO1cUydRAPjLe3/B4sXVhWgDBgxASWkJfvn5F6SlpuHYsWO1qm8Nfc7sjUvF/SJV65it0KbFJGom1j+c99LBxgovDm98gUDNKkj1fa6arK2tsWhR3etEhoaGwsbGBnK5HLdv1V09+MKcFzTWR5wyZYpO3aXZ2dnIyMjQ2Kbu0ktKSsLFixfF7VZWVujXr1+D71lTeXk5FsxfgFOnTgFQ3aMKDw836L1QtZrLnNVVCW0u2ru2R2FBoVhN2xT0/WxM6VyztrZGZWUlZDIZZs2aVWv/vHnz8MvPvwBQTfP4aBI19DmjnqHI0c4ac4K1D2kjw2ASNQOJWfmITFTdY5k91A/ODo1vOdWcPOFW2i2tLcn62NnZoX379sjMzKx1v6emmmX8UqkUn/39M53ef9++fVi7Zq3WfXt276m1lmL0mWiNYQH1KSkpwbyX5uHs2bMAgF69eiF8V3idwyse14MHD8THpjgXbmN07NgRKSkpSEtLa5L3f5zPxpTOtVatWonDarQV3tWcPD79dnqt/YY8Z+IzHiD6+l0AwJxgP7SxN2xPC2niPVEzsP7ENajn8l46Rr8VPvr27SveJ7p67ape76EuMJJKtZ825eXlePfP1ePylEqlOJ6vIY9Oyt0QoYHJzdXKysowd85c8SIdHByMfT/va7IECgCpN1PFx4MHD26y39Mchg1TzZebmppq8Puij/PZmNq5pq45kNQxsXvNmgSFonYFsCHPGfUwOED3Gc1If0yiJq5UrsD26BsAgIGd22NgZ/0u/lZWVhgarJqe7drVa7X2R0REIGxhGMIWhtW5tNL9+6rS+w4dtBc1rX5/NRITEzW27dq1S6f4XnrpJaRnpGv8qKeZ+8t7f6m1r2vXrjq976pVq3Du3DkAwKRJkxC+K1xjTF5TUE9p59vZF+4e5l3QMWLkCACqJPXoZ/u4HuezMbVzzctLNZY1Py9f6/6aQ8y0rbpiqHOmuLwS359VXS+G+Lmhf6d2er8X6YZJ1MTtiU1BXomqaEHfVqhaSEgIAODixYsaSzUBquEthw4dwqFDh7TOmHL16lWx9F5bEj1w4AB27NgBQDWQXn3hOfTbIRQUFOgUn0wm0/hRD1qXSqW19ukiPj4eP+/7GQAwfPhwrN+w3uBFRNqo55sdOUL7uqPmpHfv3uLapzXnu31cj/PZmOK5pm49VlRU1FraDQAuXLggPvbt7Ftrv6HOmV0xKSgolQNgK7S5MImaOHVBkbODDZ4f8ngFAlOnToWdnR0KCgoQGRmpsc/drfrb75GjR2q9duvWreLjiZM0B8rfvn0bb656E4Dqortq1SrMmDEDgOqism/fvseKW1/Hjh0DoBqD9/U3XzfLJOYZGRnil5AXX2r8YH9TI5FIMOt5VaHM/l8bXuJMV/p+NqZ6rg0ZUr2ow/bt22vtD98ZDkDVI/TohAuGPGfUMxS5ONpi5uDGT99JjcfCIhP2e9p9xKWopgB7cXh3tLJ9vI/L2dkZz017DuE7w/HrL79i7Nix4r6Ro0bC2dkZ+fn52LF9B3x8fDBt2jTI5XLs2LEDu8JVXWVeXl4YObL623JlZSX+9MqfUFhYCFtbW3z19VewtrbG9BnT8dlnn0GpVGJX+C7Mnz//sWLXx9kzqnttVlZWYuVnXUJCQgxyn/THH38EAAQFBZnEsB5DePnll7F+3XpcvnwZaWlpBpkMXp/PxpTPtaDBQeKQm/Xr1sPZyRmznp+FosIibP12q7gu6rTp02p15xrqnIlLycHvaapbLvOGd4e9DS/vzYF/ZROm/lYJAEsaOUNRXRYuWIjwneE4fPiwxpJL9vb2ePOtN/Hun9+FQqHAmg/WYM0HazRea2dnh8//8blGYdGnn3yK33//HQDw7rvvipOBe3p6InhYMKKjosVlonr37m2Qf4Ousu6oqogrKyuxYvmKeo/95z//Kba49FVVVYWd3+8EAL3mXzVVXl5eGD9+PA4dOoQ9u/fg7Xfefuz31OezMeVzzdbWFpu3bMakiZNQXFyMjz76CB999JHGMR4eHnjjjTc0thnynFH3WkkkhrteUMPYnWuiCkrl2BWTAgAY6d8BvbwMM94woGcAJk+ejJKSEmxYv0Fj3/z58/H555+LsxPV5O3tje07tmPUqFHitosXL4pz7A4fMRwLwxZqvGbmzJni419++cUg8TdGUaFhJgioeV/Mxrru+3bHjh1DVlYWBgwYgKeeesogv9tUvLHqDUilUmzdulWjSEYb9d+rvtVQGvvZmPq5BgB+fn5Yt36dWGRUU2BgIP7zn//A21tz6UJDnTN5JRXYE6u6XoQGeKJHB2e934saRyIISt3GClCz+jriKpZ9dwYAEP6n0Zg91HADpm/duoWRI0bC1tYW5+LO1RrcXVVVhfPnzyMjIwPWVtYYFDQInp6eBvv9LdXECRNx+fJl7N+/HwMHDTR2OAb3xhtvYFf4LixfsRzvvPOOscMxWQqFApcvXcbt27dha2eLfv36aU2sgOHOmX8dicfr36u6yH94bSxmBPF+aHNhd66JUo/1cmtjj+cGdTboe3fq1Amvvvoq9u7di+PHj2P69Oka+2UymUahBDUsISEBubm5mP3C7BaZQAHgrbfeQkxMDCJPReLtt98WK1pJk5WVFQIHBiJwYGC9xxnqnBGE6ls/Hk4OeDbQV+/3osZjS9QERV+/ixFrVZWQbz/dH5/M0r58EhHRqYQshH58EADw7jMD8OH0QUaOyLK0iHuipXIFvou6jsIyubFDMQj1vJdSiQSLQ/0bOJqILJm6oEgmlWBRiPkVFP0YdxPJ2YXGDkNvZp1EL9/OxbLvzsDrte9x5I+MFjFH5P2icuyNU00BNq6PN7q4GX6CdCJqGbILyvDzBdX1YmI/H3RyNf5yg43lZG+D7m/uxpi/HcSe2BRUKGovFWfKzO6eaHF5JfacS8Gmk4k493AMZRt7G3w+u2Xcw/v2dJJ4EjV24W0isixbTydBrlAtnG6uMxSN6+ONGUFd8MO5mzhxLQvtW9vhpRHdsSjE3yyqjM3mnujvafex8WQCdsWk1Oq2/WLOUKyc0KeOV5oPpSCg+6o9SMkphE87R6R+MRuyOia0JiLLphQEdP2f3Ui7XwRf19ZI+eJ5SM202CszrwQBb/2AovLq6UglEmBkjw5YFBqAaYM6w85atykYm5tJt0QLSuXYHZuCTacScDH1vtZj+vi44LUnW8bMMBHxmUjJUd0bCBvlzwRKRHU6fCUdafdV420XhfqbbQIFAK+2rfDX5wLxRnj1/MyCAEQm3kFk4h0s32GLl4Z3x8JRPdDb28WIkdZmMklUEIDEO/mITc5GbHIOYpOzcTUzD1X1NJQlEuDrecNhJTPrW7sidZm6lUyKsBAWFBFR3dTD4GyspFg4yvyvF8vH9ca2qOv4I/1BrX0Piivw5eE/8OXhP+Dh5IAhfm4Pf9wxsHP7x54S9XEYrTs3r6QCcTfvITY5GzE3shF38564Womu3NrYo5tH7QVwzZFcUYULqfcgCEA7Rzv4ezobOyQiMlEVlVW4mHoPAgDX1nZmce9QF4Vlcq1JtD5WMin6eLtoJNZu7k5oroZ5syZRQQAirmbgy8PxOHwlHUodF1YmIiLSVef2rbHsyV5YOMofTg5NO2rDaC3R7IIyVddtSg5ik3Nw/mYOSipqr/heH9fWdvB1bdoFlpuDAAF/pD+AXKGEnbXM5Pr8ich0CBBw5fYDVFa1vOtFSUUlErLyG/UaqUSCHh2cMMTPHUP93DHEzw09vdo2W02JyVTnKqqUiM/IQ2xKNmJuqO6J3sguQH2NVYkEiH7vGQR3038leFPwy8U0TP3yKADg77OHYNWkvkaOiIhM1Y9xNzHz/yIAAF/ODcaK8c27Yk1TqVIKCFr9s7icW13atrLF4K7VXbeDu7rBuYlbm/UxmcIiK5kU/Tu1Q/9O7cTxTveKyrErJhmbTiYiPqN2P7kgAH/aFo0La6aadXGReoYiO2sZ5o/sbuRoiMiUqa8XDjZWeGl4NyNHYzjrT1yrM4G2sbfBC0P9EBbijyd8XZvtfqcuTCaJatO+tR2Wj+uN5eN64+yNbGw6mYAfzt1Eqby62/fy7Vx8dewqXjfTcaIpOYU4Fp8JAJge1AXtHO2MHBERmaqkO/k4maBai3XWkK5o28rWyBEZRnZBGf7y4/la2wd3dcPi0ADMGtLVqBW49THNqLQI7uaO4G7u+HJuMHaeTcamUwm4dCsXALB630XMHNwVnm0djBxl4208kSAWWHGGIiKqz4YTCeItrpZ0vXhr9znkl6om0XF2sMHcYd2wKDQAfX1M/36vydwT1UdcSg42nUrE7tgUPN2/I3a9OsbYITVKhaIKPst34l5ROfr6uODyx9MbfhERWaQyuQLeK3biQXEFnvB1xcW1zxk7JIOISrqLUR/tR3A3DywK8ceMwV3gYGM27TvzaYlqE9TVDUFd3fDFnKHYFZOMglJ5k5czG9LeuFTcKyoHACwx03kviah5/HDuJh4Uq8bSm+s8udpk5ZXgj7/NQC+vtsYORS9mnUTVWttZY3Go+XVtqAsEHO2sMXeYn5GjISJTpp7RrI29DWYP7WrkaAxn1hDz/reYb0mrmYvPeIDo63cBAHOC/VrEMm5E1DQu3cpFbLJq1aoXh3WDo521kSMiNSZRI1HPewkAS1pQgQARGZ66FQoAS8fwemFKmESNoKRCge/P3gAADPFzw4BOrkaOiIhMVVF5JcLPJgMAhnf3aFEzFLUETKJGEH5WVQQFtKwCASIyvO/P3BDX2Vw6htcLU8MkagTqrhkXR1vMHNzFyNEQkSlTFyC6trbD9KDORo6GHsUk2sziUnLEqa3mDe8OezMaD0VEzevsjWxcebg02PyRPWBrJTNyRPQoJtFmtv6EqqBIImFBERHVT90KlUokZjmMzxIwiTajvJIK7IlNAQCEBni2mIV0icjwcovL8WPcTQDA2N5e8HNvY+SISBsm0Wa0PfqGOHk+CwSIqD7bTl9HeWUVABYgmjIm0WYiCMCGhwVFHk4OeDbQ17gBEZHJEgRgw0nVrR+vtq0weUBHI0dEdWESbSaRiVniiu0LQ3rA2ozXPyWipnX8WiZu3C0AAISF+Jv1esktHT+ZZqIuKJJJJVgUwgIBIqqbuqDISiZFWIi/kaOh+jCJNoPsgjL8fCEVADCxnw86uToaOSIiMlVZeaXY//stAMDT/TvC26WVkSOi+jCJNoOtp5MgVygBsECAiOq3JTIRlVUPrxcsQDR5TKJNTCkI2PiwK9fXtTUm9PUxckREZKqqlAI2nUoEAHR1a4Mne3sZOSJqCJNoEzt8JR1p94sAAItC/SGTSowcERGZqt8u3UZ6bjEAYPHoAEglvF6YOibRJqZe8szGSooFo3oYORoiMmXqebVtrWSYP5LXC3PAJNqEbucW49Dl2wCAZwN94eHkYOSIiMhUpd4rwpErGQCAaUGd0b61nZEjIl0wiTahTScTUaUUALCgiIjqt+FEApQCrxfmhkm0iVRWKbElUlUg4O/pjJAATyNHRESmSq5Q4tvTSQCA3t4uGNHDw8gRka6YRJvIrxfTcCe/FACwJDQArA8gorr8dP4mcgrLAABLx3AyFnPCJNpE1DMU2dtYYd6I7kaOhohMmfp60crWCnODuxk5GmoMJtEmcP1uAU5cywQAzBrcBW1b2Ro5IiIyVdcy8xCVdAcA8EKwH5wcbIwcETUGk2gT2HAiAQ/rAzjjCBHVa33N6wULiswOk6iBlckV2BalKhAY0MkVg7u6GTkiIjJVpXIFdkRfBwAEdXXDE76uRo6IGotJ1MB+jLuJB8UVAFggQET12xWTjPxSOQBg6WheL8wRk6geqpQC9sbd1LpPPUNRG3sbvDDUrznDIiIzo75etG1li1lDuho5GtIHk6geqpQC5m+KROLDRbbVLt3KRUxyNgBg7jA/ONpZGyE6IjIHF1Lv4ULqPQDAS8O7wcHGysgRkT6YRPVQpVSiuLwSM7+KQJlcIW7f8LBMHWCBABHVT90KlUiAJbxemC0mUT08nMkPf6Q/wOvfxwAAisorsfPsDQDAsO4e6OPjYqzwiMjE5ZfKsTs2GQAwyt8TAZ7Oxg2I9Mb+Az2o57cEgI0nExDa0xN5JRUoKq8EwAIBIqrfjujrKKlQ9WLxemHemET1oJ5UXm3J1ih4tlWt0OLa2g7Tg7qI++4WlCIhMx9Jd/Mxf2QP2FrJmjVWIjI96ls/7k72mDqws5GjocfBJKoH5SNJtLBMjsIyVZl6b28XLPvuDBKy8pCQlY+8kgpIJMDX84YzgRIRTifewdXMPADAgpE9YGPFu2rmjElUDzW7cx91KiELpxKyNLZ9PnsIXuHMRUSE6nlypRIJFrMr1+zxK5AeHu3Orc/a6QPxPxP7NmE0RGQucgrLsO98KgBgQl8f+Lq2NnJE9LiYRPVQX0u0pv+d3B9/eeaJJo6GiMzFt6eTUKGoAsAZzVoKJlE96NISXTG+Nz6eGdQM0RCROVAKAjaeTAQAdGzniEn9Oho5IjIEJlE9NNQSXRTqj3/OCW6maIjIHBz9IwM3cwoBqK4RMqnEyBGRITCJ6kGuUNa5b+6wblg/fwQk/P9BRDWoC4qsZVIsHOVv5GjIUJhE9XDjboHW7dODuuDbRaMgZQYlskgXUu+Jq7LUlJ5bjIP/vQUAeCbQFx2cHZo7NGoiTKJ6iM94UGvb2F5e2PnKaFjJ+CclslRXbj9A2ObIWts3RyaKtRScoahl4RVfD/EZeRrP2znaYfvSUA6aJrJwVUoBP51PxdcRV8VtiiolNp9SFRR193DC6J5exgqPmgCv+np4tCW6bv5wds8QkVh0+MbOWPz31n0AwP7/3kJWXikAYMnoANZLtDBMoo1UpRSQUGMd0TnBfphRY65cIrJc6iRaoajCrK+Oo7BMLi55Zm9jhZdH9DBmeNQEOO1fI6XkFIpriHq7tMJX84YbOSIiMhU1x5DfuFuAF745gYirGQCAGUFd4OJoK+4vKq9EYlY+yuQKjPTv0OyxkmEwiTaSuitXIgG+XRwCZwcbI0dERKbi0THkv126LT52d7LHih1nkZCVj4SsPGTmlaCNvQ0i3nmqucMkA2ISbaT4dFVR0bIne2NsLxYIEFG1R1d4qunvv13WeO5oZ43f3piAgZ3bN3VY1IR4T7SR4jMewN/TGZ/M4pR+RKRJ18Up7G2s8OvK8RjW3aOJI6KmxiTaSEl38rF9SSgcbNiIJyJNuixOYWMlxU/Ln8Tonp7NEBE1NSbRRqhQVGHG4C4Y1IXdL0RUW0MtUSuZFLtfHYuJ/XyaKSJqakyijaCoEvD20/2NHQYRmaj6WqIyqQTfLQ7B1IG+zRcQNTn2STZCK1v+uYiobooq7UlUIgE2LhiJF4L9mjkiampsiRIRGUjKw6XOHvXvF4dhwShOtNASMYkSERmItsUpPp4ZhGVP9jJCNNQcmESJiAzg0SlBAWBcH2+8wzqKFo1JlIjIAGpOCQoAbVvZYkvYKE4438IxiRIRGcCjXblfzxsGb5dWRoqGmguTKBGRAainBAWAWUO6YvZQVuJaAiZRIiIDULdEPds64Buu7mQxmESJiAwgPuMBJBJgS9gojSXPqGVjEiUiekwViircyC7EktCemNCXU/pZEiZRIqLHlJiVj87tW+PzF4YYOxRqZhJB0HHtHiIi0mpPbAo6ujpiqJ+7sUOhZsYk+oicnBwAgJubm8Z2hUKBtLQ0uLi4wMXFxRihEZGJyi4og7uTvbHDICNgd+5D169fx7yX5uGJAU9gcNBgFBUVAQCUSiW2bduGQYMGYeSIkejXtx82bNhg5GiJyJQwgVoui2+JlpeX4x//+Ac2btiIyspKAIBEIsGN5Bu4f/8+Xlv2Gs6fP6/xGnt7e9xIvgGplN9BiIgsmUVngTNnzmD06NH4+quvxQQKAL6dfXH48GE8OfbJWgkUAMrKynAr7VZzhkpERCbIYpNo1OkozJwxE5kZmWjXrp3GvtSbqVj26jKUl5djYdhCbNi4AZ6enhrH3LrNJEpEZOksdpXp9m7tsXLlSixYuABlZWUYNHCQxv4xY8ZgzZo16NylMwAgKTEJX3zxhbi/devWzRovERGZHotNov7+/vD39wcAXLx4UWPfm2+9iZUrV2ps8+moOYC6Q4cOTRsgERGZPIvtzq2p5n1PX1/fWgkUAHJzc8XHrVq1grs7x4MREVk6JlEAsbGx4uPQ0aFaj7l29Zr4eMCAAZDJZE0eFxERmTaLT6KCICDuXJz4fHDQYK3HXbp0SXwcGBjY1GEREZEZsPgkmpiYiPz8fPH5wEEDax1z584d3Lx5U3w+KmRUc4RGRGbot99+Q0VFhbHDoGZi8Um0Zlduhw4dag1lAYCjR49qHDN4sPbWKhFZtg/Xfogli5dojDunlo1JNKY6iQ4aNEjrMQcPHBQfP/vss5BIJE0eFxGZlw/XfohvvvkGPXr0gKOjo7HDoWZisUNc1M6dOyc+Hjiwdlfu9evXcebMGQCAnZ0dXp7/cnOFRkQmKikpCcnJycjNzUVFRQWuXbuGPbv3AFCNQVcoFLCysvjLq0Ww6E/55s2b4qotgPb7oTUnWHj99dfh48MFd4ksUVVVFbZ/tx07duxAYmJincedjjyNbd9uQ9iisGaMjozFopNoza5cAMjMzET//v3F5+vWrcP+X/cDAMaOHYtX/vRKc4ZHRCYiIyMDryx9pdbELNo8O/VZLFi4oBmiIlNg0au4vLbsNfz000/ic6lUikmTJqFfv344f+E8Io5FQKlUYvHixXjv/fc4NpTIAsXGxmLhgoXIy8vDs1OfxcBAVY9VcXExMjIy8Ouvv4pLJ3br1g0RxyNgbW1tzJCpGVl2SzRWsyWqVCpx8OBBHDyoKiRq1aoVPvvsM0x9bqoxwiMiI4uOisbcuXMhl8uxdOlSvL/6/VrHnD17Vkyiz017jgnUwlhsEs3IyEBmZmad+wMDA/Hlv75E165dmzEqIjIVFRUVeG35a5DL5XBwcMDK/6k9HWhOTo7GGPJhwcOaM0QyARabRB9thf7n8H+gVCqhVCrh4+MDNzc3I0VGRKYgfGc4su9mAwDGTxivdeWmmtcROzs79Ovfr9niI9NgsUk0JiZGfNy1a1f068eTn4iqrVu3Tnw8fvx4rceci60eIte/f3925Vogi51soeY3SG1DW4jIcsXHxyMjI0N8XtcsZTWvI0GDg5o8LjI9FplEs7OzkXozVXweNIgnPxFVqznVp6+vr9alD/Pz8zXGiwYF8TpiiSwyidacpQhgS5SINEWeihQf15Uc487FQRBUIwSlUqnWGc+o5bPIJFpzkgVnZ2f4+fkZMRoiMiVKpRJXr14Vn9dVLFSzK7eHfw+0adOmyWMj02OZSTRWc9J5TihPRGqpqakoLS0Vn/fo0aPWMRfOX9CYqKWudYip5bO4JJqXl4ekpCTxObtgiKimGzduaDx3cnISHwuCgG++/gbPPfcc7t27J26vawUoavksLonWvI8BAIOCePITUbWayRGA2LWbnZ2Nl158CR9++CEUCoXGMazMtVwWN0605vhQa2trjQnniYjy8/I1nr//3vs4e+YsDh48iNLSUri6usLb2xuXLl0CAHh5ecHLy6v5AyWTYDEt0YqKCvzxxx+IiooSt3n7eKO8vNyIURGRqWndRnNmosLCQvzwww8oLS1FSEgIjp84DsfW1YtuszfLsllES/TihYtYvHgx7ty5o7E99WYqegb0hJOTEzp37owVK1Zg/ATtM5MQkWXQNm7c1tYWf373zwgLC0NVVRV+v/h79fEcH2rRLCKJvv3O25DJZPD29q7zGHt7ewQODGzGqIjIFPXs1ROTJk3CoUOHAAAhISFY++FacTGKq1evalTvsjLXsllEEo2IiDB2CERkRjZs3ID4+Hi4u7vDw8NDY19cXJz4uI1TG/Twrz0EhiyHRSRRIqLGkMlkdS5KcT7uvPh4YOBASKUWU1pCWvDTJyJqhJotUd4PJSZRIiIdpaWlIScnR3zO8aHEJEpEpKOarVBra2sMGDDAiNGQKWASJSLSUc37oX379YWtra0RoyFTwCRKRKSjmi1RDm0hgEmUiEgneXl5SE5OFp+zqIgAJlEiIp2cjzsvLl4hkUg43R8BYBIlItJJ3Pnqrlw/Pz+0bdvWiNGQqZAIglJo+DAiIiJ6FFuiREREemISJSIi0hOTKBERkZ6YRImIiPTEJEpERKSn/wcIa0Rqg8HaCgAAAABJRU5ErkJggg==",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/430.jpg"
}
] |
<image>Find x so that p \parallel q.
|
B
| 64,878 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/431.jpg"
}
] |
<image>Find the perimeter of quadrilateral A B C D.
|
B
| 64,879 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/432.jpg"
}
] |
<image>Find x.
|
B
| 64,880 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/433.jpg"
}
] |
<image>Find x.
|
B
| 64,881 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/434.jpg"
}
] |
<image>Find m \angle P.
|
B
| 64,882 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/435.jpg"
}
] |
<image>Find x.
|
D
| 64,883 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/436.jpg"
}
] |
<image>Points S, T, and U are the midpoints of D E, E F, and D F, respectively. Find y.
|
D
| 64,884 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/437.jpg"
}
] |
<image>For the pair of similar figures, use the given areas to find x.
|
B
| 64,885 | null |
B
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/438.jpg"
}
] |
<image>Find C D if A B = 6, A F = 8, B C = x, C D = y, D E = 2 y - 3, and F E = x + \frac { 10 } { 3 }.
|
A
| 64,886 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/439.jpg"
}
] |
<image>Find E C.
|
A
| 64,887 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/440.jpg"
}
] |
<image>Find the exact circumference of the circle.
|
C
| 64,888 | null |
C
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/441.jpg"
}
] |
<image>In the figure, m \angle 1 = 50 and m \angle 3 = 60. Find the measure of \angle 7.
|
A
| 64,889 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/442.jpg"
}
] |
<image>Find the area of the shaded region. Assume that the polygon is regular unless otherwise stated. Round to the nearest tenth.
|
A
| 64,890 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/443.jpg"
}
] |
<image>Find y.
|
D
| 64,891 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/444.jpg"
}
] |
<image>Find x.
|
D
| 64,892 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/445.jpg"
}
] |
<image>Find z.
|
D
| 64,893 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/446.jpg"
}
] |
<image>A B C D is a rhombus. If E B = 9, A B = 12 and m \angle A B D = 55. Find C E.
|
A
| 64,894 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/447.jpg"
}
] |
<image>Points S, T, and U are the midpoints of D E, E F, and D F, respectively. Find x.
|
A
| 64,895 | null |
A
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/448.jpg"
}
] |
<image>Find y. Round to the nearest tenth, if necessary.
|
D
| 64,896 | null |
D
|
[
{
"bytes": "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",
"path": "/blob/v-xiyaowang/v-xiyaowang/llava_prm/llava_prm/Geometry3K/unsolved_images/449.jpg"
}
] |
<image>If T U \perp U V and U V \perp V W, find m \angle 1.
|
A
| 64,897 | null |
A
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.