From 8f3472b03317dc2140e9ac1cdb156a4557fca47d Mon Sep 17 00:00:00 2001 From: yukun-hh Date: Wed, 22 Apr 2026 15:23:35 +0800 Subject: [PATCH] =?UTF-8?q?=E5=AE=8C=E6=88=90=E7=AC=AC=E4=B9=9D=E7=AB=A0?= =?UTF-8?q?=E5=AD=A6=E4=B9=A0?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- chapter5-9.ipynb | 3589 +++++++++++++++++++++++----------------------- plot.ipynb | 222 ++- 2 files changed, 2011 insertions(+), 1800 deletions(-) diff --git a/chapter5-9.ipynb b/chapter5-9.ipynb index faba052..bbc1cf6 100644 --- a/chapter5-9.ipynb +++ b/chapter5-9.ipynb @@ -6,8 +6,8 @@ "metadata": { "collapsed": true, "ExecuteTime": { - "end_time": "2026-03-29T09:05:27.116778011Z", - "start_time": "2026-03-29T09:05:25.689631294Z" + "end_time": "2026-04-22T07:03:02.177207285Z", + "start_time": "2026-04-22T07:02:59.204677901Z" } }, "source": [ @@ -19,13 +19,13 @@ "import torch.nn.functional as F" ], "outputs": [], - "execution_count": 1 + "execution_count": 2 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:27.211229222Z", - "start_time": "2026-03-29T09:05:27.119198350Z" + "end_time": "2026-04-22T07:03:02.454043741Z", + "start_time": "2026-04-22T07:03:02.230904947Z" } }, "cell_type": "code", @@ -39,24 +39,24 @@ { "data": { "text/plain": [ - "tensor([[-0.0620, 0.3494, -0.2706, 0.0934, 0.1624, 0.0507, 0.0276, 0.1200,\n", - " 0.1418, 0.1422],\n", - " [-0.2129, 0.3243, -0.3727, -0.0147, 0.1620, -0.0534, 0.0918, 0.0569,\n", - " 0.0515, -0.0515]], grad_fn=)" + "tensor([[ 0.0041, -0.3465, -0.2096, 0.2304, -0.1043, 0.0066, 0.1817, 0.0355,\n", + " 0.2685, -0.0461],\n", + " [-0.0932, -0.1621, -0.1244, 0.2398, -0.0759, 0.0680, 0.1511, 0.0224,\n", + " 0.2522, -0.0228]], grad_fn=)" ] }, - "execution_count": 2, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 2 + "execution_count": 3 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:28.023879514Z", - "start_time": "2026-03-29T09:05:27.503008526Z" + "end_time": "2026-04-22T07:03:04.497911379Z", + "start_time": "2026-04-22T07:03:03.603349572Z" } }, "cell_type": "code", @@ -71,13 +71,13 @@ ], "id": "4ae330604b643cb4", "outputs": [], - "execution_count": 3 + "execution_count": 4 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:28.598152494Z", - "start_time": "2026-03-29T09:05:28.312949801Z" + "end_time": "2026-04-22T07:03:05.186050578Z", + "start_time": "2026-04-22T07:03:04.689781242Z" } }, "cell_type": "code", @@ -90,24 +90,24 @@ { "data": { "text/plain": [ - "tensor([[-0.0426, -0.0041, 0.0686, 0.0151, -0.0754, 0.0269, 0.2757, 0.0227,\n", - " 0.2260, 0.0424],\n", - " [ 0.0319, 0.0394, 0.0179, 0.0704, -0.1369, -0.0294, 0.2276, 0.0702,\n", - " 0.1313, 0.2124]], grad_fn=)" + "tensor([[-0.2165, 0.1394, 0.0867, 0.0692, 0.2914, -0.1427, 0.2218, -0.0533,\n", + " -0.2137, 0.0044],\n", + " [-0.2020, 0.0648, 0.0514, 0.0500, 0.2555, -0.1679, 0.1621, -0.1462,\n", + " -0.2527, 0.0386]], grad_fn=)" ] }, - "execution_count": 4, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 4 + "execution_count": 5 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:28.833430055Z", - "start_time": "2026-03-29T09:05:28.633643058Z" + "end_time": "2026-04-22T07:03:05.664056879Z", + "start_time": "2026-04-22T07:03:05.331438994Z" } }, "cell_type": "code", @@ -131,13 +131,13 @@ ], "id": "4518d62611d5e749", "outputs": [], - "execution_count": 5 + "execution_count": 6 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:28.918094363Z", - "start_time": "2026-03-29T09:05:28.865853300Z" + "end_time": "2026-04-22T07:03:06.104535508Z", + "start_time": "2026-04-22T07:03:05.824555955Z" } }, "cell_type": "code", @@ -150,21 +150,21 @@ { "data": { "text/plain": [ - "tensor(-0.0847, grad_fn=)" + "tensor(-0.0023, grad_fn=)" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 6 + "execution_count": 7 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.031399095Z", - "start_time": "2026-03-29T09:05:28.937762813Z" + "end_time": "2026-04-22T07:03:06.273938290Z", + "start_time": "2026-04-22T07:03:06.117091179Z" } }, "cell_type": "code", @@ -182,13 +182,13 @@ ], "id": "407ef13a86453aae", "outputs": [], - "execution_count": 7 + "execution_count": 8 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.115640738Z", - "start_time": "2026-03-29T09:05:29.033684765Z" + "end_time": "2026-04-22T07:03:06.462449517Z", + "start_time": "2026-04-22T07:03:06.323939028Z" } }, "cell_type": "code", @@ -202,22 +202,22 @@ { "data": { "text/plain": [ - "tensor([[-0.5641],\n", - " [-0.5857]], grad_fn=)" + "tensor([[-0.1265],\n", + " [-0.0471]], grad_fn=)" ] }, - "execution_count": 8, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 8 + "execution_count": 9 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.228591089Z", - "start_time": "2026-03-29T09:05:29.144124890Z" + "end_time": "2026-04-22T07:03:06.843325610Z", + "start_time": "2026-04-22T07:03:06.539581889Z" } }, "cell_type": "code", @@ -228,17 +228,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "OrderedDict([('weight', tensor([[-0.3334, 0.0416, -0.3501, -0.1285, 0.0512, 0.2549, -0.2154, -0.2633]])), ('bias', tensor([-0.0772]))])\n" + "OrderedDict([('weight', tensor([[ 0.0136, -0.1015, 0.1191, 0.2722, 0.3456, -0.0650, -0.0437, -0.2806]])), ('bias', tensor([-0.0945]))])\n" ] } ], - "execution_count": 9 + "execution_count": 10 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.323152541Z", - "start_time": "2026-03-29T09:05:29.255547310Z" + "end_time": "2026-04-22T07:03:07.189943309Z", + "start_time": "2026-04-22T07:03:06.962295444Z" } }, "cell_type": "code", @@ -249,22 +249,22 @@ "data": { "text/plain": [ "OrderedDict([('weight',\n", - " tensor([[-0.3334, 0.0416, -0.3501, -0.1285, 0.0512, 0.2549, -0.2154, -0.2633]])),\n", - " ('bias', tensor([-0.0772]))])" + " tensor([[ 0.0136, -0.1015, 0.1191, 0.2722, 0.3456, -0.0650, -0.0437, -0.2806]])),\n", + " ('bias', tensor([-0.0945]))])" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 10 + "execution_count": 11 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.379782432Z", - "start_time": "2026-03-29T09:05:29.328071536Z" + "end_time": "2026-04-22T07:03:07.395792068Z", + "start_time": "2026-04-22T07:03:07.243437434Z" } }, "cell_type": "code", @@ -279,13 +279,13 @@ ] } ], - "execution_count": 11 + "execution_count": 12 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.451394790Z", - "start_time": "2026-03-29T09:05:29.397103231Z" + "end_time": "2026-04-22T07:03:07.629769183Z", + "start_time": "2026-04-22T07:03:07.457413574Z" } }, "cell_type": "code", @@ -300,18 +300,18 @@ "output_type": "stream", "text": [ "Parameter containing:\n", - "tensor([-0.0772], requires_grad=True)\n", - "tensor([-0.0772])\n" + "tensor([-0.0945], requires_grad=True)\n", + "tensor([-0.0945])\n" ] } ], - "execution_count": 12 + "execution_count": 13 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.518076804Z", - "start_time": "2026-03-29T09:05:29.463897541Z" + "end_time": "2026-04-22T07:03:07.873696310Z", + "start_time": "2026-04-22T07:03:07.679040535Z" } }, "cell_type": "code", @@ -324,18 +324,18 @@ "True" ] }, - "execution_count": 13, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 13 + "execution_count": 14 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.588672960Z", - "start_time": "2026-03-29T09:05:29.534910431Z" + "end_time": "2026-04-22T07:03:07.984798139Z", + "start_time": "2026-04-22T07:03:07.896070141Z" } }, "cell_type": "code", @@ -354,13 +354,13 @@ ] } ], - "execution_count": 14 + "execution_count": 15 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.642447216Z", - "start_time": "2026-03-29T09:05:29.589891260Z" + "end_time": "2026-04-22T07:03:08.010084298Z", + "start_time": "2026-04-22T07:03:07.991112964Z" } }, "cell_type": "code", @@ -370,21 +370,21 @@ { "data": { "text/plain": [ - "tensor([-0.0772])" + "tensor([-0.0945])" ] }, - "execution_count": 15, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 15 + "execution_count": 16 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.708774862Z", - "start_time": "2026-03-29T09:05:29.659219518Z" + "end_time": "2026-04-22T07:03:08.088926956Z", + "start_time": "2026-04-22T07:03:08.042795645Z" } }, "cell_type": "code", @@ -399,13 +399,13 @@ ], "id": "53c39c5e61fa7bf5", "outputs": [], - "execution_count": 16 + "execution_count": 17 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:29.765983699Z", - "start_time": "2026-03-29T09:05:29.710778796Z" + "end_time": "2026-04-22T07:03:08.330228511Z", + "start_time": "2026-04-22T07:03:08.096053767Z" } }, "cell_type": "code", @@ -418,22 +418,22 @@ { "data": { "text/plain": [ - "tensor([[0.2190],\n", - " [0.2190]], grad_fn=)" + "tensor([[0.0117],\n", + " [0.0117]], grad_fn=)" ] }, - "execution_count": 17, + "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 17 + "execution_count": 18 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.160316585Z", - "start_time": "2026-03-29T09:05:29.826193253Z" + "end_time": "2026-04-22T07:03:08.645186191Z", + "start_time": "2026-04-22T07:03:08.455908607Z" } }, "cell_type": "code", @@ -476,13 +476,13 @@ ] } ], - "execution_count": 18 + "execution_count": 19 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.301122409Z", - "start_time": "2026-03-29T09:05:30.198111011Z" + "end_time": "2026-04-22T07:03:08.903696348Z", + "start_time": "2026-04-22T07:03:08.733628048Z" } }, "cell_type": "code", @@ -492,21 +492,21 @@ { "data": { "text/plain": [ - "tensor([-0.3955, 0.0030, -0.0100, 0.3198, -0.4639, -0.4023, -0.3653, 0.0766])" + "tensor([ 0.2396, -0.2293, -0.3365, 0.0070, -0.0166, -0.2328, -0.1627, 0.3407])" ] }, - "execution_count": 19, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 19 + "execution_count": 20 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.342375999Z", - "start_time": "2026-03-29T09:05:30.305643495Z" + "end_time": "2026-04-22T07:03:09.181470689Z", + "start_time": "2026-04-22T07:03:08.920938456Z" } }, "cell_type": "code", @@ -523,21 +523,21 @@ { "data": { "text/plain": [ - "(tensor([-0.0059, -0.0004, -0.0091, 0.0014]), tensor(0.))" + "(tensor([ 0.0166, 0.0092, 0.0013, -0.0031]), tensor(0.))" ] }, - "execution_count": 20, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 20 + "execution_count": 21 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.413353915Z", - "start_time": "2026-03-29T09:05:30.350001341Z" + "end_time": "2026-04-22T07:03:09.303120289Z", + "start_time": "2026-04-22T07:03:09.184866866Z" } }, "cell_type": "code", @@ -560,18 +560,18 @@ "name": "stdout", "output_type": "stream", "text": [ - "tensor([ 0.1297, -0.3070, -0.2955, 0.3630])\n", + "tensor([-0.2085, 0.4344, -0.3960, 0.5868])\n", "tensor([[42., 42., 42., 42., 42., 42., 42., 42.]])\n" ] } ], - "execution_count": 21 + "execution_count": 22 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.481562932Z", - "start_time": "2026-03-29T09:05:30.431139492Z" + "end_time": "2026-04-22T07:03:09.411878374Z", + "start_time": "2026-04-22T07:03:09.355106030Z" } }, "cell_type": "code", @@ -581,13 +581,13 @@ ], "id": "f05bb378bb60ab9e", "outputs": [], - "execution_count": 22 + "execution_count": 23 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.535399376Z", - "start_time": "2026-03-29T09:05:30.483767993Z" + "end_time": "2026-04-22T07:03:09.509836133Z", + "start_time": "2026-04-22T07:03:09.427360581Z" } }, "cell_type": "code", @@ -603,18 +603,18 @@ "tensor([0, 1, 2, 3])" ] }, - "execution_count": 23, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 23 + "execution_count": 24 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.599578181Z", - "start_time": "2026-03-29T09:05:30.548047255Z" + "end_time": "2026-04-22T07:03:09.542056671Z", + "start_time": "2026-04-22T07:03:09.518568625Z" } }, "cell_type": "code", @@ -633,26 +633,26 @@ ], "id": "b42598f0c4a8e801", "outputs": [], - "execution_count": 24 + "execution_count": 25 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.650496800Z", - "start_time": "2026-03-29T09:05:30.601298115Z" + "end_time": "2026-04-22T07:03:09.603222999Z", + "start_time": "2026-04-22T07:03:09.548610614Z" } }, "cell_type": "code", "source": "torch.save(net.state_dict(), 'mlp.params')", "id": "aaa22eef549caa6f", "outputs": [], - "execution_count": 25 + "execution_count": 26 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.706861993Z", - "start_time": "2026-03-29T09:05:30.652573915Z" + "end_time": "2026-04-22T07:03:09.699407155Z", + "start_time": "2026-04-22T07:03:09.607082306Z" } }, "cell_type": "code", @@ -672,18 +672,18 @@ ")" ] }, - "execution_count": 26, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 26 + "execution_count": 27 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.786547453Z", - "start_time": "2026-03-29T09:05:30.723425498Z" + "end_time": "2026-04-22T07:03:09.854186935Z", + "start_time": "2026-04-22T07:03:09.721875531Z" } }, "cell_type": "code", @@ -700,18 +700,18 @@ " [True, True, True, True, True, True, True, True, True, True]])" ] }, - "execution_count": 27, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 27 + "execution_count": 28 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:30.901224528Z", - "start_time": "2026-03-29T09:05:30.851425725Z" + "end_time": "2026-04-22T07:03:10.143072800Z", + "start_time": "2026-04-22T07:03:09.938713854Z" } }, "cell_type": "code", @@ -726,13 +726,13 @@ ], "id": "d45f9adfe47fce20", "outputs": [], - "execution_count": 28 + "execution_count": 29 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.060500958Z", - "start_time": "2026-03-29T09:05:30.961112847Z" + "end_time": "2026-04-22T07:03:10.449191223Z", + "start_time": "2026-04-22T07:03:10.209878470Z" } }, "cell_type": "code", @@ -750,18 +750,18 @@ " [37., 43.]])" ] }, - "execution_count": 29, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 29 + "execution_count": 30 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.226121987Z", - "start_time": "2026-03-29T09:05:31.161589982Z" + "end_time": "2026-04-22T07:03:10.723922087Z", + "start_time": "2026-04-22T07:03:10.558883210Z" } }, "cell_type": "code", @@ -776,13 +776,13 @@ ], "id": "d60be1bd12a1f37e", "outputs": [], - "execution_count": 30 + "execution_count": 31 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.353964548Z", - "start_time": "2026-03-29T09:05:31.284845417Z" + "end_time": "2026-04-22T07:03:11.208027335Z", + "start_time": "2026-04-22T07:03:10.944803814Z" } }, "cell_type": "code", @@ -804,18 +804,18 @@ " [1., 1., 0., 0., 0., 0., 1., 1.]])" ] }, - "execution_count": 31, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 31 + "execution_count": 32 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.497133186Z", - "start_time": "2026-03-29T09:05:31.413547301Z" + "end_time": "2026-04-22T07:03:11.547516752Z", + "start_time": "2026-04-22T07:03:11.280664423Z" } }, "cell_type": "code", @@ -837,18 +837,18 @@ " [ 0., 1., 0., 0., 0., -1., 0.]])" ] }, - "execution_count": 32, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 32 + "execution_count": 33 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.722341828Z", - "start_time": "2026-03-29T09:05:31.614326731Z" + "end_time": "2026-04-22T07:03:11.992663567Z", + "start_time": "2026-04-22T07:03:11.712431704Z" } }, "cell_type": "code", @@ -868,31 +868,31 @@ " [0., 0., 0., 0., 0.]])" ] }, - "execution_count": 33, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 33 + "execution_count": 34 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.872242267Z", - "start_time": "2026-03-29T09:05:31.806910138Z" + "end_time": "2026-04-22T07:03:12.544730677Z", + "start_time": "2026-04-22T07:03:12.187262859Z" } }, "cell_type": "code", "source": "conv2d = nn.Conv2d(1,1, kernel_size=(1, 2), bias=False)", "id": "ec61cdb61a8cabff", "outputs": [], - "execution_count": 34 + "execution_count": 35 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:31.992426160Z", - "start_time": "2026-03-29T09:05:31.931105219Z" + "end_time": "2026-04-22T07:03:12.918278160Z", + "start_time": "2026-04-22T07:03:12.663915511Z" } }, "cell_type": "code", @@ -903,13 +903,13 @@ ], "id": "d2fc19d84c79a10", "outputs": [], - "execution_count": 35 + "execution_count": 36 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.264274507Z", - "start_time": "2026-03-29T09:05:31.995396351Z" + "end_time": "2026-04-22T07:03:14.229826949Z", + "start_time": "2026-04-22T07:03:12.942822259Z" } }, "cell_type": "code", @@ -938,13 +938,13 @@ ] } ], - "execution_count": 36 + "execution_count": 37 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.346542597Z", - "start_time": "2026-03-29T09:05:32.281931301Z" + "end_time": "2026-04-22T07:03:14.392987505Z", + "start_time": "2026-04-22T07:03:14.281161755Z" } }, "cell_type": "code", @@ -957,18 +957,18 @@ "tensor([[ 1.0000, -1.0000]])" ] }, - "execution_count": 37, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 37 + "execution_count": 38 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.474945924Z", - "start_time": "2026-03-29T09:05:32.410988598Z" + "end_time": "2026-04-22T07:03:14.572225657Z", + "start_time": "2026-04-22T07:03:14.447504117Z" } }, "cell_type": "code", @@ -987,13 +987,13 @@ ], "id": "77b61d8c9a2363cc", "outputs": [], - "execution_count": 38 + "execution_count": 39 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.610536979Z", - "start_time": "2026-03-29T09:05:32.537011140Z" + "end_time": "2026-04-22T07:03:14.842090802Z", + "start_time": "2026-04-22T07:03:14.640382418Z" } }, "cell_type": "code", @@ -1002,33 +1002,6 @@ "comp_conv2d(conv2d, X).shape" ], "id": "beda6ffa67ec2677", - "outputs": [ - { - "data": { - "text/plain": [ - "torch.Size([8, 8])" - ] - }, - "execution_count": 39, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 39 - }, - { - "metadata": { - "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.680637151Z", - "start_time": "2026-03-29T09:05:32.618558400Z" - } - }, - "cell_type": "code", - "source": [ - "conv2d = nn.Conv2d(1, 1, kernel_size=(5, 3), padding=(2, 1))\n", - "comp_conv2d(conv2d, X).shape" - ], - "id": "8c51095daea1432d", "outputs": [ { "data": { @@ -1046,8 +1019,35 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.771287457Z", - "start_time": "2026-03-29T09:05:32.697379946Z" + "end_time": "2026-04-22T07:03:15.005425705Z", + "start_time": "2026-04-22T07:03:14.845097024Z" + } + }, + "cell_type": "code", + "source": [ + "conv2d = nn.Conv2d(1, 1, kernel_size=(5, 3), padding=(2, 1))\n", + "comp_conv2d(conv2d, X).shape" + ], + "id": "8c51095daea1432d", + "outputs": [ + { + "data": { + "text/plain": [ + "torch.Size([8, 8])" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 41 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-22T07:03:15.154120979Z", + "start_time": "2026-04-22T07:03:15.063863068Z" } }, "cell_type": "code", @@ -1063,18 +1063,18 @@ "torch.Size([4, 4])" ] }, - "execution_count": 41, + "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 41 + "execution_count": 42 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.831539044Z", - "start_time": "2026-03-29T09:05:32.773186750Z" + "end_time": "2026-04-22T07:03:15.290065680Z", + "start_time": "2026-04-22T07:03:15.156986867Z" } }, "cell_type": "code", @@ -1090,18 +1090,18 @@ "torch.Size([2, 2])" ] }, - "execution_count": 42, + "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 42 + "execution_count": 43 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:32.896336773Z", - "start_time": "2026-03-29T09:05:32.842010971Z" + "end_time": "2026-04-22T07:03:15.447782218Z", + "start_time": "2026-04-22T07:03:15.341665415Z" } }, "cell_type": "code", @@ -1122,18 +1122,18 @@ " [104., 120.]])" ] }, - "execution_count": 43, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 43 + "execution_count": 44 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.000406757Z", - "start_time": "2026-03-29T09:05:32.949274100Z" + "end_time": "2026-04-22T07:03:15.631383700Z", + "start_time": "2026-04-22T07:03:15.507675748Z" } }, "cell_type": "code", @@ -1143,13 +1143,13 @@ ], "id": "d409110d0d6b4b49", "outputs": [], - "execution_count": 44 + "execution_count": 45 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.125525859Z", - "start_time": "2026-03-29T09:05:33.060398301Z" + "end_time": "2026-04-22T07:03:15.955093562Z", + "start_time": "2026-04-22T07:03:15.716320703Z" } }, "cell_type": "code", @@ -1165,18 +1165,18 @@ "torch.Size([3, 2, 2, 2])" ] }, - "execution_count": 45, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 45 + "execution_count": 46 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.198169422Z", - "start_time": "2026-03-29T09:05:33.131159996Z" + "end_time": "2026-04-22T07:03:16.110185723Z", + "start_time": "2026-04-22T07:03:15.964443180Z" } }, "cell_type": "code", @@ -1196,18 +1196,18 @@ " [192., 224.]]])" ] }, - "execution_count": 46, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 46 + "execution_count": 47 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.249073Z", - "start_time": "2026-03-29T09:05:33.199594667Z" + "end_time": "2026-04-22T07:03:16.181875274Z", + "start_time": "2026-04-22T07:03:16.125158123Z" } }, "cell_type": "code", @@ -1224,13 +1224,13 @@ ], "id": "362d8c692b3c1d75", "outputs": [], - "execution_count": 47 + "execution_count": 48 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.298538943Z", - "start_time": "2026-03-29T09:05:33.250967377Z" + "end_time": "2026-04-22T07:03:16.240983284Z", + "start_time": "2026-04-22T07:03:16.187079922Z" } }, "cell_type": "code", @@ -1240,13 +1240,13 @@ ], "id": "28e761f677df8b16", "outputs": [], - "execution_count": 48 + "execution_count": 49 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.354138870Z", - "start_time": "2026-03-29T09:05:33.300557739Z" + "end_time": "2026-04-22T07:03:16.386442288Z", + "start_time": "2026-04-22T07:03:16.245865317Z" } }, "cell_type": "code", @@ -1262,13 +1262,13 @@ ] } ], - "execution_count": 49 + "execution_count": 50 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.417520891Z", - "start_time": "2026-03-29T09:05:33.369461725Z" + "end_time": "2026-04-22T07:03:16.444217309Z", + "start_time": "2026-04-22T07:03:16.422396408Z" } }, "cell_type": "code", @@ -1278,13 +1278,13 @@ ], "id": "be28e27d30f36e2c", "outputs": [], - "execution_count": 50 + "execution_count": 51 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.468327774Z", - "start_time": "2026-03-29T09:05:33.419539671Z" + "end_time": "2026-04-22T07:03:16.504989589Z", + "start_time": "2026-04-22T07:03:16.449374426Z" } }, "cell_type": "code", @@ -1304,13 +1304,13 @@ ], "id": "3c3f71349a2e54c0", "outputs": [], - "execution_count": 51 + "execution_count": 52 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.526566195Z", - "start_time": "2026-03-29T09:05:33.470337819Z" + "end_time": "2026-04-22T07:03:16.635764547Z", + "start_time": "2026-04-22T07:03:16.510663393Z" } }, "cell_type": "code", @@ -1327,18 +1327,18 @@ " [7., 8.]])" ] }, - "execution_count": 52, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 52 + "execution_count": 53 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.680166201Z", - "start_time": "2026-03-29T09:05:33.578598740Z" + "end_time": "2026-04-22T07:03:16.938183687Z", + "start_time": "2026-04-22T07:03:16.693509080Z" } }, "cell_type": "code", @@ -1352,18 +1352,18 @@ " [5., 6.]])" ] }, - "execution_count": 53, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 53 + "execution_count": 54 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:33.855460170Z", - "start_time": "2026-03-29T09:05:33.765585069Z" + "end_time": "2026-04-22T07:03:17.569350884Z", + "start_time": "2026-04-22T07:03:17.198359992Z" } }, "cell_type": "code", @@ -1382,18 +1382,18 @@ " [12., 13., 14., 15.]]]])" ] }, - "execution_count": 54, + "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 54 + "execution_count": 55 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:34.023104664Z", - "start_time": "2026-03-29T09:05:33.949683264Z" + "end_time": "2026-04-22T07:03:17.840996860Z", + "start_time": "2026-04-22T07:03:17.734395761Z" } }, "cell_type": "code", @@ -1409,34 +1409,6 @@ "tensor([[[[10.]]]])" ] }, - "execution_count": 55, - "metadata": {}, - "output_type": "execute_result" - } - ], - "execution_count": 55 - }, - { - "metadata": { - "ExecuteTime": { - "end_time": "2026-03-29T09:05:34.093370019Z", - "start_time": "2026-03-29T09:05:34.026511981Z" - } - }, - "cell_type": "code", - "source": [ - "pool2d = nn.MaxPool2d(3, padding=1, stride=2)\n", - "pool2d(X)" - ], - "id": "847a2bacfb6f2bd7", - "outputs": [ - { - "data": { - "text/plain": [ - "tensor([[[[ 5., 7.],\n", - " [13., 15.]]]])" - ] - }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" @@ -1447,16 +1419,16 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:34.146680689Z", - "start_time": "2026-03-29T09:05:34.094779518Z" + "end_time": "2026-04-22T07:03:17.967526280Z", + "start_time": "2026-04-22T07:03:17.871240998Z" } }, "cell_type": "code", "source": [ - "pool2d = nn.MaxPool2d((2, 3), stride=(2, 3), padding=(0, 1))\n", + "pool2d = nn.MaxPool2d(3, padding=1, stride=2)\n", "pool2d(X)" ], - "id": "5efad1e0b616fff7", + "id": "847a2bacfb6f2bd7", "outputs": [ { "data": { @@ -1475,8 +1447,36 @@ { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:34.239200323Z", - "start_time": "2026-03-29T09:05:34.159117900Z" + "end_time": "2026-04-22T07:03:18.057661560Z", + "start_time": "2026-04-22T07:03:17.998953875Z" + } + }, + "cell_type": "code", + "source": [ + "pool2d = nn.MaxPool2d((2, 3), stride=(2, 3), padding=(0, 1))\n", + "pool2d(X)" + ], + "id": "5efad1e0b616fff7", + "outputs": [ + { + "data": { + "text/plain": [ + "tensor([[[[ 5., 7.],\n", + " [13., 15.]]]])" + ] + }, + "execution_count": 58, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 58 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-22T07:03:18.211656993Z", + "start_time": "2026-04-22T07:03:18.081025077Z" } }, "cell_type": "code", @@ -1500,18 +1500,18 @@ " [13., 14., 15., 16.]]]])" ] }, - "execution_count": 58, + "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 58 + "execution_count": 59 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:34.331040051Z", - "start_time": "2026-03-29T09:05:34.248225619Z" + "end_time": "2026-04-22T07:03:18.254285311Z", + "start_time": "2026-04-22T07:03:18.221776346Z" } }, "cell_type": "code", @@ -1531,18 +1531,18 @@ " [14., 16.]]]])" ] }, - "execution_count": 59, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 59 + "execution_count": 60 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:34.425299189Z", - "start_time": "2026-03-29T09:05:34.352449123Z" + "end_time": "2026-04-22T07:03:18.415322634Z", + "start_time": "2026-04-22T07:03:18.283827059Z" } }, "cell_type": "code", @@ -1584,13 +1584,13 @@ ] } ], - "execution_count": 60 + "execution_count": 61 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:35.484128366Z", - "start_time": "2026-03-29T09:05:34.438360644Z" + "end_time": "2026-04-22T07:03:20.954626561Z", + "start_time": "2026-04-22T07:03:18.435497060Z" } }, "cell_type": "code", @@ -1601,13 +1601,13 @@ ], "id": "e372f75817ad4a0f", "outputs": [], - "execution_count": 61 + "execution_count": 62 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:35.582060752Z", - "start_time": "2026-03-29T09:05:35.533014324Z" + "end_time": "2026-04-22T07:03:21.060902242Z", + "start_time": "2026-04-22T07:03:21.006364318Z" } }, "cell_type": "code", @@ -1617,13 +1617,13 @@ ], "id": "9aaeb948f3353955", "outputs": [], - "execution_count": 62 + "execution_count": 63 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:35.632954849Z", - "start_time": "2026-03-29T09:05:35.583695074Z" + "end_time": "2026-04-22T07:03:21.128721611Z", + "start_time": "2026-04-22T07:03:21.065860429Z" } }, "cell_type": "code", @@ -1647,13 +1647,13 @@ ], "id": "6d3bb3f70f297dba", "outputs": [], - "execution_count": 63 + "execution_count": 64 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:35.690181474Z", - "start_time": "2026-03-29T09:05:35.634277862Z" + "end_time": "2026-04-22T07:03:21.758676619Z", + "start_time": "2026-04-22T07:03:21.134168809Z" } }, "cell_type": "code", @@ -1700,13 +1700,13 @@ ] } ], - "execution_count": 64 + "execution_count": 65 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:36.618596478Z", - "start_time": "2026-03-29T09:05:35.704418296Z" + "end_time": "2026-04-22T07:03:22.718023030Z", + "start_time": "2026-04-22T07:03:21.806456021Z" } }, "cell_type": "code", @@ -1826,18 +1826,18 @@ "==========================================================================================" ] }, - "execution_count": 65, + "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 65 + "execution_count": 66 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:36.729050116Z", - "start_time": "2026-03-29T09:05:36.672212588Z" + "end_time": "2026-04-22T07:03:22.823562168Z", + "start_time": "2026-04-22T07:03:22.774952520Z" } }, "cell_type": "code", @@ -1848,13 +1848,13 @@ ], "id": "3760a5e5813405f7", "outputs": [], - "execution_count": 66 + "execution_count": 67 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:36.793463633Z", - "start_time": "2026-03-29T09:05:36.742329034Z" + "end_time": "2026-04-22T07:03:22.875034764Z", + "start_time": "2026-04-22T07:03:22.825694238Z" } }, "cell_type": "code", @@ -1880,13 +1880,13 @@ ], "id": "9300979845ba6916", "outputs": [], - "execution_count": 67 + "execution_count": 68 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:36.854913593Z", - "start_time": "2026-03-29T09:05:36.806531736Z" + "end_time": "2026-04-22T07:03:22.926048268Z", + "start_time": "2026-04-22T07:03:22.876715194Z" } }, "cell_type": "code", @@ -1896,13 +1896,13 @@ ], "id": "1248323517ff3228", "outputs": [], - "execution_count": 68 + "execution_count": 69 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:36.923726941Z", - "start_time": "2026-03-29T09:05:36.856121115Z" + "end_time": "2026-04-22T07:03:22.992544732Z", + "start_time": "2026-04-22T07:03:22.927760279Z" } }, "cell_type": "code", @@ -1918,18 +1918,18 @@ "torch.Size([4, 6, 3, 3])" ] }, - "execution_count": 69, + "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], - 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0.9299, 0.2003, 0.5466, 0.4355, 0.7900, 0.4343, 0.7224, 0.8585,\n", + " 0.5714, 0.5306, 0.6594, 0.0640, 0.3203, 0.5463, 0.5048, 0.1935,\n", + " 0.2883, 0.6778, 0.5014, 0.5235, 0.5718, 0.4587, 0.2808, 0.4073,\n", + " 0.8632, 0.8862, 0.5757, 0.3372, 0.2566, 0.7858, 0.3713, 0.1589,\n", + " 0.3243, 0.4270, 0.0565, 0.2885, 0.3257, 0.2196, 0.3159, 0.2361,\n", + " 0.1087, 0.2224, 0.2633, 0.5037, 0.1980, 0.1530, 0.2780, -0.1399,\n", + " 0.5331, 0.3530, 0.3342, 0.2098, -0.0165, 0.1318, 0.4510, -0.1959,\n", + " 0.0966, 0.0789, 0.3381, -0.1917, 0.1518, 0.3640, 0.0956, 0.2535,\n", + " -0.3988, -0.3479, 0.3864, -0.2639, -0.2368, 0.0258, 0.2441, 0.0687,\n", + " 0.0457, 0.2286, -0.0947, -0.1189, 0.1360, -0.0990, -0.2447, 0.2135,\n", + " -0.1830, -0.4583, -0.1795, -0.1361, -0.0553, -0.2864, -0.2307, -0.4651,\n", + " -0.1889, -0.3185, -0.5318, -0.3012, 0.0062, 0.1046, -0.2321, -0.2945,\n", + " -0.0242, -0.0586, -0.2307, -0.2479, -0.0382, -0.1509, -0.5055, -0.3759,\n", + " 0.2139, -0.2129, -0.3605, 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-3529,13 +3454,13 @@ ], "id": "5d095792e3b3681", "outputs": [], - "execution_count": 87 + "execution_count": 88 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:38.471484710Z", - "start_time": "2026-03-29T09:05:38.373039400Z" + "end_time": "2026-04-22T07:03:24.610623781Z", + "start_time": "2026-04-22T07:03:24.507553628Z" } }, "cell_type": "code", @@ -3559,11 +3484,11 @@ "name": "stdout", "output_type": "stream", "text": [ - "epoch 1, loss: 0.057278\n", - "epoch 2, loss: 0.051284\n", - "epoch 3, loss: 0.047806\n", - "epoch 4, loss: 0.048928\n", - "epoch 5, loss: 0.049009\n" + "epoch 1, loss: 0.082748\n", + "epoch 2, loss: 0.066498\n", + "epoch 3, loss: 0.061828\n", + "epoch 4, loss: 0.059193\n", + "epoch 5, loss: 0.058498\n" ] }, { @@ -3576,13 +3501,13 @@ ] } ], - "execution_count": 88 + "execution_count": 89 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:38.651527416Z", - "start_time": "2026-03-29T09:05:38.486176418Z" + "end_time": 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" ], - "image/svg+xml": "\n\n\n \n \n \n \n 2026-03-29T17:05:38.729306\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" + "image/svg+xml": "\n\n\n \n \n \n \n 2026-04-22T15:03:24.805438\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" }, "metadata": {}, "output_type": "display_data", @@ -3647,13 +3572,13 @@ } } ], - "execution_count": 90 + "execution_count": 91 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:38.831552628Z", - "start_time": "2026-03-29T09:05:38.780075298Z" + "end_time": "2026-04-22T07:03:24.898795229Z", + "start_time": "2026-04-22T07:03:24.850233508Z" } }, "cell_type": "code", @@ -3663,13 +3588,13 @@ ], "id": "aab66c10a4c143d2", "outputs": [], - "execution_count": 91 + "execution_count": 92 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:38.889096136Z", - "start_time": "2026-03-29T09:05:38.833703204Z" + "end_time": "2026-04-22T07:03:24.953966099Z", + "start_time": "2026-04-22T07:03:24.901011365Z" } }, "cell_type": "code", @@ -3698,13 +3623,13 @@ ] } ], - "execution_count": 92 + "execution_count": 93 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:38.974340058Z", - "start_time": "2026-03-29T09:05:38.905164643Z" + "end_time": "2026-04-22T07:03:25.021941150Z", + "start_time": "2026-04-22T07:03:24.965670989Z" } }, "cell_type": "code", @@ -3741,13 +3666,13 @@ ] } ], - "execution_count": 93 + "execution_count": 94 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.026306689Z", - "start_time": "2026-03-29T09:05:38.975870867Z" + "end_time": "2026-04-22T07:03:25.086591433Z", + "start_time": "2026-04-22T07:03:25.032865323Z" } }, "cell_type": "code", @@ -3799,13 +3724,13 @@ ], "id": "bee8e5d7b798c6c", "outputs": [], - "execution_count": 94 + "execution_count": 95 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.084414078Z", - "start_time": "2026-03-29T09:05:39.028224941Z" + "end_time": "2026-04-22T07:03:25.242997320Z", + "start_time": "2026-04-22T07:03:25.089155138Z" } }, "cell_type": "code", @@ -3823,13 +3748,13 @@ ] } ], - "execution_count": 95 + "execution_count": 96 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.172122701Z", - "start_time": "2026-03-29T09:05:39.098729247Z" + "end_time": "2026-04-22T07:03:25.308904788Z", + "start_time": "2026-04-22T07:03:25.255767350Z" } }, "cell_type": "code", @@ -3851,13 +3776,13 @@ ] } ], - "execution_count": 96 + "execution_count": 97 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.242984562Z", - "start_time": "2026-03-29T09:05:39.173224665Z" + "end_time": "2026-04-22T07:03:25.387400952Z", + "start_time": "2026-04-22T07:03:25.322962901Z" } }, "cell_type": "code", @@ -3885,18 +3810,18 @@ "(170580, 28)" ] }, - "execution_count": 97, + "execution_count": 98, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 97 + "execution_count": 98 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.315199771Z", - "start_time": "2026-03-29T09:05:39.258108438Z" + "end_time": "2026-04-22T07:03:25.453063309Z", + "start_time": "2026-04-22T07:03:25.388764888Z" } }, "cell_type": "code", @@ -3924,18 +3849,18 @@ " ('my', 440)]" ] }, - "execution_count": 98, + "execution_count": 99, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 98 + "execution_count": 99 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.598676534Z", - "start_time": "2026-03-29T09:05:39.332385572Z" + "end_time": "2026-04-22T07:03:25.731046331Z", + "start_time": "2026-04-22T07:03:25.454316415Z" } }, "cell_type": "code", @@ -3951,7 +3876,7 @@ "text/plain": [ "
" ], - "image/svg+xml": "\n\n\n \n \n \n \n 2026-03-29T17:05:39.535495\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" + "image/svg+xml": "\n\n\n \n \n \n \n 2026-04-22T15:03:25.667027\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" }, "metadata": {}, "output_type": "display_data", @@ -3960,13 +3885,13 @@ } } ], - "execution_count": 99 + "execution_count": 100 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.691613898Z", - "start_time": "2026-03-29T09:05:39.602184215Z" + "end_time": "2026-04-22T07:03:25.792389729Z", + "start_time": "2026-04-22T07:03:25.734951149Z" } }, "cell_type": "code", @@ -3992,18 +3917,18 @@ " (('of', 'a'), 73)]" ] }, - "execution_count": 100, + "execution_count": 101, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 100 + "execution_count": 101 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:39.773596513Z", - "start_time": "2026-03-29T09:05:39.693158268Z" + "end_time": "2026-04-22T07:03:25.888424198Z", + "start_time": "2026-04-22T07:03:25.808960001Z" } }, "cell_type": "code", @@ -4030,18 +3955,18 @@ " (('i', 'began', 'to'), 13)]" ] }, - "execution_count": 101, + "execution_count": 102, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 101 + "execution_count": 102 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.025057797Z", - "start_time": "2026-03-29T09:05:39.775024733Z" + "end_time": "2026-04-22T07:03:26.133953109Z", + "start_time": "2026-04-22T07:03:25.889784531Z" } }, "cell_type": "code", @@ -4059,7 +3984,7 @@ "text/plain": [ "
" ], - "image/svg+xml": "\n\n\n \n \n \n \n 2026-03-29T17:05:39.966276\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n 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\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" }, "metadata": {}, "output_type": "display_data", @@ -4068,13 +3993,13 @@ } } ], - "execution_count": 102 + "execution_count": 103 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.090429874Z", - "start_time": "2026-03-29T09:05:40.040896926Z" + "end_time": "2026-04-22T07:03:26.196704442Z", + "start_time": "2026-04-22T07:03:26.148119411Z" } }, "cell_type": "code", @@ -4104,13 +4029,13 @@ ], "id": "fd015793938b83ab", "outputs": [], - "execution_count": 103 + "execution_count": 104 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.149638908Z", - "start_time": "2026-03-29T09:05:40.092265248Z" + "end_time": "2026-04-22T07:03:26.251762886Z", + "start_time": "2026-04-22T07:03:26.199184612Z" } }, "cell_type": "code", @@ -4125,28 +4050,28 @@ "name": "stdout", "output_type": "stream", "text": [ - "X: tensor([[26, 27, 28, 29, 30],\n", - " [21, 22, 23, 24, 25]]) \n", - "Y: tensor([[27, 28, 29, 30, 31],\n", - " [22, 23, 24, 25, 26]])\n", - "X: tensor([[11, 12, 13, 14, 15],\n", - " [ 1, 2, 3, 4, 5]]) \n", - "Y: tensor([[12, 13, 14, 15, 16],\n", - " [ 2, 3, 4, 5, 6]])\n", - "X: tensor([[ 6, 7, 8, 9, 10],\n", - " [16, 17, 18, 19, 20]]) \n", - "Y: tensor([[ 7, 8, 9, 10, 11],\n", - " [17, 18, 19, 20, 21]])\n" + "X: tensor([[ 3, 4, 5, 6, 7],\n", + " [28, 29, 30, 31, 32]]) \n", + "Y: tensor([[ 4, 5, 6, 7, 8],\n", + " [29, 30, 31, 32, 33]])\n", + "X: tensor([[23, 24, 25, 26, 27],\n", + " [ 8, 9, 10, 11, 12]]) \n", + "Y: tensor([[24, 25, 26, 27, 28],\n", + " [ 9, 10, 11, 12, 13]])\n", + "X: tensor([[18, 19, 20, 21, 22],\n", + " [13, 14, 15, 16, 17]]) \n", + "Y: tensor([[19, 20, 21, 22, 23],\n", + " [14, 15, 16, 17, 18]])\n" ] } ], - "execution_count": 104 + "execution_count": 105 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.215887628Z", - "start_time": "2026-03-29T09:05:40.163501969Z" + "end_time": "2026-04-22T07:03:26.315745320Z", + "start_time": "2026-04-22T07:03:26.265138594Z" } }, "cell_type": "code", @@ -4167,13 +4092,13 @@ ], "id": "621b66c0614b22da", "outputs": [], - "execution_count": 105 + "execution_count": 106 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.267211418Z", - "start_time": "2026-03-29T09:05:40.217997368Z" + "end_time": "2026-04-22T07:03:26.366004915Z", + "start_time": "2026-04-22T07:03:26.318858875Z" } }, "cell_type": "code", @@ -4198,13 +4123,13 @@ ], "id": "f09fe2507a925fe9", "outputs": [], - "execution_count": 106 + "execution_count": 107 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.327565785Z", - "start_time": "2026-03-29T09:05:40.269141766Z" + "end_time": "2026-04-22T07:03:26.415821442Z", + "start_time": "2026-04-22T07:03:26.368476221Z" } }, "cell_type": "code", @@ -4214,13 +4139,13 @@ ], "id": "69272a664d3b9ae1", "outputs": [], - "execution_count": 107 + "execution_count": 108 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.390353470Z", - "start_time": "2026-03-29T09:05:40.335766683Z" + "end_time": "2026-04-22T07:03:26.469093543Z", + "start_time": "2026-04-22T07:03:26.417213406Z" } }, "cell_type": "code", @@ -4236,18 +4161,18 @@ " 0, 0, 0, 0]])" ] }, - "execution_count": 108, + "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 108 + "execution_count": 109 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.545044245Z", - "start_time": "2026-03-29T09:05:40.446941053Z" + "end_time": "2026-04-22T07:03:26.612564439Z", + "start_time": "2026-04-22T07:03:26.520392652Z" } }, "cell_type": "code", @@ -4263,18 +4188,18 @@ "torch.Size([5, 2, 28])" ] }, - "execution_count": 109, + "execution_count": 110, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 109 + "execution_count": 110 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.636340487Z", - "start_time": "2026-03-29T09:05:40.574500540Z" + "end_time": "2026-04-22T07:03:26.703519372Z", + "start_time": "2026-04-22T07:03:26.641662463Z" } }, "cell_type": "code", @@ -4326,13 +4251,13 @@ ], "id": "405f7c6af8bdd939", "outputs": [], - "execution_count": 110 + "execution_count": 111 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.714678739Z", - "start_time": "2026-03-29T09:05:40.640615581Z" + "end_time": "2026-04-22T07:03:26.793241936Z", + "start_time": "2026-04-22T07:03:26.704490837Z" } }, "cell_type": "code", @@ -4352,18 +4277,18 @@ "(torch.Size([10, 28]), 1, torch.Size([2, 512]))" ] }, - "execution_count": 111, + "execution_count": 112, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 111 + "execution_count": 112 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.933485442Z", - "start_time": "2026-03-29T09:05:40.715946914Z" + "end_time": "2026-04-22T07:03:26.859603241Z", + "start_time": "2026-04-22T07:03:26.795131832Z" } }, "cell_type": "code", @@ -4387,21 +4312,21 @@ { "data": { "text/plain": [ - "'time traveller qxyumumumu'" + "'time traveller vxmpussss'" ] }, - "execution_count": 112, + "execution_count": 113, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 112 + "execution_count": 113 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:40.987574570Z", - "start_time": "2026-03-29T09:05:40.936566018Z" + "end_time": "2026-04-22T07:03:26.909151706Z", + "start_time": "2026-04-22T07:03:26.861214463Z" } }, "cell_type": "code", @@ -4419,13 +4344,13 @@ ], "id": "6c19717736ffbc68", "outputs": [], - "execution_count": 113 + "execution_count": 114 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.038078698Z", - "start_time": "2026-03-29T09:05:40.989835785Z" + "end_time": "2026-04-22T07:03:26.964267753Z", + "start_time": "2026-04-22T07:03:26.913802768Z" } }, "cell_type": "code", @@ -4466,13 +4391,13 @@ ], "id": "37ef611dedcb714b", "outputs": [], - "execution_count": 114 + "execution_count": 115 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.089234437Z", - "start_time": "2026-03-29T09:05:41.040415821Z" + "end_time": "2026-04-22T07:03:27.028276769Z", + "start_time": "2026-04-22T07:03:26.966889257Z" } }, "cell_type": "code", @@ -4502,13 +4427,13 @@ ], "id": "c96b60b55664378a", "outputs": [], - "execution_count": 115 + "execution_count": 116 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.147914921Z", - "start_time": "2026-03-29T09:05:41.099546332Z" + "end_time": "2026-04-22T07:03:27.077729796Z", + "start_time": "2026-04-22T07:03:27.030591268Z" } }, "cell_type": "code", @@ -4518,13 +4443,13 @@ ], "id": "ab4a2fbf4dfd21ef", "outputs": [], - "execution_count": 116 + "execution_count": 117 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.196189157Z", - "start_time": "2026-03-29T09:05:41.149680280Z" + "end_time": "2026-04-22T07:03:27.135654266Z", + "start_time": "2026-04-22T07:03:27.079991786Z" } }, "cell_type": "code", @@ -4534,13 +4459,13 @@ ], "id": "74d672745751714", "outputs": [], - "execution_count": 117 + "execution_count": 118 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.583876478Z", - "start_time": "2026-03-29T09:05:41.197696611Z" + "end_time": "2026-04-22T07:03:27.595345257Z", + "start_time": "2026-04-22T07:03:27.137667402Z" } }, "cell_type": "code", @@ -4560,18 +4485,18 @@ "(torch.Size([35, 32, 256]), torch.Size([1, 32, 256]))" ] }, - "execution_count": 118, + "execution_count": 119, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 118 + "execution_count": 119 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.638041580Z", - "start_time": "2026-03-29T09:05:41.586864085Z" + "end_time": "2026-04-22T07:03:27.653466458Z", + "start_time": "2026-04-22T07:03:27.598468205Z" } }, "cell_type": "code", @@ -4615,13 +4540,13 @@ ], "id": "858873034be01538", "outputs": [], - "execution_count": 119 + "execution_count": 120 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.686881805Z", - "start_time": "2026-03-29T09:05:41.640393942Z" + "end_time": "2026-04-22T07:03:27.712481585Z", + "start_time": "2026-04-22T07:03:27.663190923Z" } }, "cell_type": "code", @@ -4633,13 +4558,13 @@ ], "id": "d59c1599998c8fd4", "outputs": [], - "execution_count": 120 + "execution_count": 121 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.737181902Z", - "start_time": "2026-03-29T09:05:41.688775143Z" + "end_time": "2026-04-22T07:03:27.761031426Z", + "start_time": "2026-04-22T07:03:27.714738716Z" } }, "cell_type": "code", @@ -4653,13 +4578,13 @@ ], "id": "adda23bc3664ec6b", "outputs": [], - "execution_count": 121 + "execution_count": 122 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.786646674Z", - "start_time": "2026-03-29T09:05:41.738416914Z" + "end_time": "2026-04-22T07:03:27.809310056Z", + "start_time": "2026-04-22T07:03:27.763581864Z" } }, "cell_type": "code", @@ -4672,13 +4597,13 @@ ], "id": "b4e30d643d6f755d", "outputs": [], - "execution_count": 122 + "execution_count": 123 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.841175343Z", - "start_time": "2026-03-29T09:05:41.788640688Z" + "end_time": "2026-04-22T07:03:27.856847550Z", + "start_time": "2026-04-22T07:03:27.811694587Z" } }, "cell_type": "code", @@ -4688,13 +4613,13 @@ ], "id": "50554e839be36011", "outputs": [], - "execution_count": 123 + "execution_count": 124 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.893584442Z", - "start_time": "2026-03-29T09:05:41.843443764Z" + "end_time": "2026-04-22T07:03:27.906829883Z", + "start_time": "2026-04-22T07:03:27.859224691Z" } }, "cell_type": "code", @@ -4703,19 +4628,20 @@ "def read_data_nmt():\n", " \"\"\"载入“英语-法语”数据集\"\"\"\n", " data_dir = d2l.download_extract('fra-eng')\n", + " print(data_dir)\n", " with open(os.path.join(data_dir, 'fra.txt'), 'r',\n", " encoding='utf-8') as f:\n", " return f.read()" ], "id": "9cd4287ed84db220", "outputs": [], - "execution_count": 124 + "execution_count": 125 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:41.981913006Z", - "start_time": "2026-03-29T09:05:41.895418207Z" + "end_time": "2026-04-22T07:03:27.980494182Z", + "start_time": "2026-04-22T07:03:27.909008466Z" } }, "cell_type": "code", @@ -4729,6 +4655,7 @@ "name": "stdout", "output_type": "stream", "text": [ + "../data/fra-eng\n", "Go.\tVa !\n", "Hi.\tSalut !\n", "Run!\tCours !\n", @@ -4739,13 +4666,13 @@ ] } ], - "execution_count": 125 + "execution_count": 126 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:43.184417099Z", - "start_time": "2026-03-29T09:05:41.984779926Z" + "end_time": "2026-04-22T07:03:29.415816650Z", + "start_time": "2026-04-22T07:03:27.981645004Z" } }, "cell_type": "code", @@ -4774,13 +4701,13 @@ ] } ], - "execution_count": 126 + "execution_count": 127 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:43.281720452Z", - "start_time": "2026-03-29T09:05:43.232801710Z" + "end_time": "2026-04-22T07:03:30.160936469Z", + "start_time": "2026-04-22T07:03:30.102689660Z" } }, "cell_type": "code", @@ -4799,51 +4726,41 @@ ], "id": "ca16ef22cbe2c02a", "outputs": [], - "execution_count": 127 + "execution_count": 128 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:43.925371949Z", - "start_time": "2026-03-29T09:05:43.283929461Z" + "end_time": "2026-04-22T07:03:30.821851145Z", + "start_time": "2026-04-22T07:03:30.165447701Z" } }, "cell_type": "code", "source": [ "source, target = tokenize_nmt(text)\n", - "source[:6], target[:6]" + "source[:5], target[:5]" ], "id": "5ece5cb4b78168d0", "outputs": [ { "data": { "text/plain": [ - "([['go', '.'],\n", - " ['hi', '.'],\n", - " ['run', '!'],\n", - " ['run', '!'],\n", - " ['who', '?'],\n", - " ['wow', '!']],\n", - " [['va', '!'],\n", - " ['salut', '!'],\n", - " ['cours', '!'],\n", - " ['courez', '!'],\n", - " ['qui', '?'],\n", - " ['ça', 'alors', '!']])" + "([['go', '.'], ['hi', '.'], ['run', '!'], ['run', '!'], ['who', '?']],\n", + " [['va', '!'], ['salut', '!'], ['cours', '!'], ['courez', '!'], ['qui', '?']])" ] }, - "execution_count": 128, + "execution_count": 129, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 128 + "execution_count": 129 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:44.088961043Z", - "start_time": "2026-03-29T09:05:43.974341311Z" + "end_time": "2026-04-22T07:03:31.001500702Z", + "start_time": "2026-04-22T07:03:30.869254698Z" } }, "cell_type": "code", @@ -4866,7 +4783,7 @@ "text/plain": [ "
" ], - "image/svg+xml": "\n\n\n \n \n \n \n 2026-03-29T17:05:44.064312\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" + "image/svg+xml": "\n\n\n \n \n \n \n 2026-04-22T15:03:30.973116\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" }, "metadata": {}, "output_type": "display_data", @@ -4875,13 +4792,13 @@ } } ], - "execution_count": 129 + "execution_count": 130 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:44.211764847Z", - "start_time": "2026-03-29T09:05:44.108134314Z" + "end_time": "2026-04-22T07:03:31.126122101Z", + "start_time": "2026-04-22T07:03:31.016562308Z" } }, "cell_type": "code", @@ -4897,18 +4814,18 @@ "10012" ] }, - "execution_count": 130, + "execution_count": 131, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 130 + "execution_count": 131 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:44.266693213Z", - "start_time": "2026-03-29T09:05:44.214356393Z" + "end_time": "2026-04-22T07:03:31.181454267Z", + "start_time": "2026-04-22T07:03:31.127995134Z" } }, "cell_type": "code", @@ -4927,18 +4844,18 @@ "[47, 4, 1, 1, 1, 1, 1, 1, 1, 1]" ] }, - "execution_count": 131, + "execution_count": 132, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 131 + "execution_count": 132 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:44.326945861Z", - "start_time": "2026-03-29T09:05:44.279624651Z" + "end_time": "2026-04-22T07:03:31.244013357Z", + "start_time": "2026-04-22T07:03:31.194631134Z" } }, "cell_type": "code", @@ -4954,13 +4871,13 @@ ], "id": "acd4344e678cf487", "outputs": [], - "execution_count": 132 + "execution_count": 133 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:44.376299140Z", - "start_time": "2026-03-29T09:05:44.328437032Z" + "end_time": "2026-04-22T07:03:31.295907069Z", + "start_time": "2026-04-22T07:03:31.246433021Z" } }, "cell_type": "code", @@ -4981,13 +4898,13 @@ ], "id": "62586b0175993a4f", "outputs": [], - "execution_count": 133 + "execution_count": 134 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T09:05:45.610515926Z", - "start_time": "2026-03-29T09:05:44.378149052Z" + "end_time": "2026-04-22T07:03:32.568811153Z", + "start_time": "2026-04-22T07:03:31.298284240Z" } }, "cell_type": "code", @@ -5006,22 +4923,23 @@ "name": "stdout", "output_type": "stream", "text": [ - "X: tensor([[81, 6, 2, 4, 5, 5, 5, 5],\n", - " [81, 11, 96, 2, 4, 5, 5, 5]], dtype=torch.int32)\n", - "X的有效长度: tensor([4, 5])\n", - "Y: tensor([[103, 79, 166, 55, 105, 6, 2, 4],\n", - " [100, 171, 75, 2, 4, 5, 5, 5]], dtype=torch.int32)\n", - "Y的有效长度: tensor([8, 5])\n" + "../data/fra-eng\n", + "X: tensor([[ 83, 163, 2, 4, 5, 5, 5, 5],\n", + " [ 29, 69, 2, 4, 5, 5, 5, 5]], dtype=torch.int32)\n", + "X的有效长度: tensor([4, 4])\n", + "Y: tensor([[100, 171, 6, 2, 4, 5, 5, 5],\n", + " [191, 6, 2, 4, 5, 5, 5, 5]], dtype=torch.int32)\n", + "Y的有效长度: tensor([5, 4])\n" ] } ], - "execution_count": 134 + "execution_count": 135 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T12:26:28.968567662Z", - "start_time": "2026-03-29T12:26:28.880277260Z" + "end_time": "2026-04-22T07:03:32.679822180Z", + "start_time": "2026-04-22T07:03:32.616779320Z" } }, "cell_type": "code", @@ -5075,18 +4993,18 @@ "torch.Size([7, 4, 16])" ] }, - "execution_count": 139, + "execution_count": 136, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 139 + "execution_count": 136 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T12:26:43.259123495Z", - "start_time": "2026-03-29T12:26:43.204225780Z" + "end_time": "2026-04-22T07:03:32.745403173Z", + "start_time": "2026-04-22T07:03:32.681269832Z" } }, "cell_type": "code", @@ -5099,18 +5017,18 @@ "torch.Size([2, 4, 16])" ] }, - "execution_count": 140, + "execution_count": 137, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 140 + "execution_count": 137 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T13:47:51.954052296Z", - "start_time": "2026-03-29T13:47:51.853781706Z" + "end_time": "2026-04-22T07:03:32.800607701Z", + "start_time": "2026-04-22T07:03:32.749059569Z" } }, "cell_type": "code", @@ -5133,13 +5051,13 @@ ], "id": "b659bfd2fdcabebe", "outputs": [], - "execution_count": 141 + "execution_count": 138 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T13:48:04.405972579Z", - "start_time": "2026-03-29T13:48:04.307991931Z" + "end_time": "2026-04-22T07:03:32.863556712Z", + "start_time": "2026-04-22T07:03:32.801449588Z" } }, "cell_type": "code", @@ -5159,18 +5077,18 @@ "(torch.Size([4, 7, 10]), torch.Size([2, 4, 16]))" ] }, - "execution_count": 142, + "execution_count": 139, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 142 + "execution_count": 139 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T13:56:58.324121647Z", - "start_time": "2026-03-29T13:56:58.160904863Z" + "end_time": "2026-04-22T07:03:32.926789294Z", + "start_time": "2026-04-22T07:03:32.864974421Z" } }, "cell_type": "code", @@ -5194,18 +5112,18 @@ " [4, 5, 0]])" ] }, - "execution_count": 143, + "execution_count": 140, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 143 + "execution_count": 140 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T13:57:55.473311100Z", - "start_time": "2026-03-29T13:57:55.287150264Z" + "end_time": "2026-04-22T07:03:33.055040504Z", + "start_time": "2026-04-22T07:03:32.985613772Z" } }, "cell_type": "code", @@ -5227,18 +5145,18 @@ " [-1., -1., -1., -1.]]])" ] }, - "execution_count": 144, + "execution_count": 141, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 144 + "execution_count": 141 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-29T14:08:10.919373362Z", - "start_time": "2026-03-29T14:08:10.636085289Z" + "end_time": "2026-04-22T07:03:33.183816304Z", + "start_time": "2026-04-22T07:03:33.114715644Z" } }, "cell_type": "code", @@ -5268,12 +5186,99 @@ "tensor([2.3026, 1.1513, 0.0000])" ] }, - "execution_count": 145, + "execution_count": 142, "metadata": {}, "output_type": "execute_result" } ], - "execution_count": 145 + "execution_count": 142 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-22T07:11:21.961865073Z", + "start_time": "2026-04-22T07:11:21.895381436Z" + } + }, + "cell_type": "code", + "source": [ + "def train_seq2seq(net, data_iter, lr, num_epochs, tgt_vocab, device):\n", + " \"\"\"训练序列到序列模型\"\"\"\n", + " def xavier_init_weights(m):\n", + " if type(m) == nn.Linear:\n", + " nn.init.xavier_uniform_(m.weight)\n", + " if type(m) == nn.GRU:\n", + " for param in m._flat_weights_names:\n", + " if \"weight\" in param:\n", + " nn.init.xavier_uniform_(m._parameters[param])\n", + " net.apply(xavier_init_weights)\n", + " net.to(device)\n", + " optimizer = torch.optim.Adam(net.parameters(), lr=lr)\n", + " loss = MaskedSoftmaxCELoss()\n", + " net.train()\n", + " animator = d2l.Animator(xlabel='epoch', ylabel='loss',\n", + " xlim=[10, num_epochs])\n", + " for epoch in range(num_epochs):\n", + " timer = d2l.Timer()\n", + " metric = d2l.Accumulator(2) # 训练损失总和,词元数量\n", + " for batch in data_iter:\n", + " optimizer.zero_grad()\n", + " X, X_valid_len, Y, Y_valid_len = [x.to(device) for x in batch]\n", + " bos = torch.tensor([tgt_vocab['']] * Y.shape[0],\n", + " device=device).reshape(-1, 1)\n", + " dec_input = torch.cat([bos, Y[:, :-1]], 1) # 强制教学\n", + " Y_hat, _ = net(X, dec_input, X_valid_len)\n", + " l = loss(Y_hat, Y, Y_valid_len)\n", + " l.sum().backward() # 损失函数的标量进行“反向传播”\n", + " d2l.grad_clipping(net, 1)\n", + " num_tokens = Y_valid_len.sum()\n", + " optimizer.step()\n", + " with torch.no_grad():\n", + " metric.add(l.sum(), num_tokens)\n", + " if (epoch + 1) % 10 == 0:\n", + " animator.add(epoch + 1, (metric[0] / metric[1],))" + ], + "id": "69c315b5875fc288", + "outputs": [], + "execution_count": 153 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-22T07:13:26.866073447Z", + "start_time": "2026-04-22T07:11:51.132170814Z" + } + }, + "cell_type": "code", + "source": [ + "embed_size, num_hiddens, num_layers, dropout = 32, 32, 2, 0.1\n", + "batch_size, num_steps = 64, 10\n", + "lr, num_epochs, device = 0.005, 300, d2l.try_gpu()\n", + "train_iter, src_vocab, tgt_vocab = load_data_nmt(batch_size, num_steps)\n", + "encoder = Seq2SeqEncoder(len(src_vocab), embed_size, num_hiddens, num_layers,\n", + "dropout)\n", + "decoder = Seq2SeqDecoder(len(tgt_vocab), embed_size, num_hiddens, num_layers,\n", + "dropout)\n", + "net = EncoderDecoder(encoder, decoder)\n", + "train_seq2seq(net, train_iter, lr, num_epochs, tgt_vocab, device)" + ], + "id": "58e54d7b6b77205d", + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/svg+xml": "\n\n\n \n \n \n \n 2026-04-22T15:13:26.821924\n image/svg+xml\n \n \n Matplotlib v3.7.2, https://matplotlib.org/\n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n \n\n" + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 155 }, { "metadata": {}, @@ -5281,7 +5286,7 @@ "outputs": [], "execution_count": null, "source": "", - "id": "69c315b5875fc288" + "id": "15f5b277bf8d51ed" } ], "metadata": { diff --git a/plot.ipynb b/plot.ipynb index ec623ff..86ff1e2 100644 --- a/plot.ipynb +++ b/plot.ipynb @@ -6,8 +6,8 @@ "metadata": { "collapsed": true, "ExecuteTime": { - "end_time": "2026-03-15T08:05:44.505817091Z", - "start_time": "2026-03-15T08:05:44.465878069Z" + "end_time": "2026-04-21T14:25:11.912291269Z", + "start_time": "2026-04-21T14:25:11.763844301Z" } }, "source": [ @@ -21,24 +21,24 @@ "name": "stdout", "output_type": "stream", "text": [ - "3.10.8\n" + "3.7.2\n" ] } ], - "execution_count": 4 + "execution_count": 6 }, { "metadata": { "ExecuteTime": { - "end_time": "2026-03-15T08:05:45.746695680Z", - "start_time": "2026-03-15T08:05:45.737336298Z" + "end_time": "2026-04-21T14:25:12.753456062Z", + "start_time": "2026-04-21T14:25:12.710441277Z" } }, "cell_type": "code", "source": "from matplotlib import pyplot as plt", "id": "5c2717897baa0e77", "outputs": [], - "execution_count": 5 + "execution_count": 7 }, { "metadata": { @@ -338,13 +338,219 @@ ], "execution_count": 16 }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:38:59.821413447Z", + "start_time": "2026-04-21T14:38:59.708132145Z" + } + }, + "cell_type": "code", + "source": [ + "import numpy as np\n", + "theta = np.linspace(0,2*np.pi,37)\n", + "theta" + ], + "id": "ef99a3200e9fb29e", + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.17453293, 0.34906585, 0.52359878, 0.6981317 ,\n", + " 0.87266463, 1.04719755, 1.22173048, 1.3962634 , 1.57079633,\n", + " 1.74532925, 1.91986218, 2.0943951 , 2.26892803, 2.44346095,\n", + " 2.61799388, 2.7925268 , 2.96705973, 3.14159265, 3.31612558,\n", + " 3.4906585 , 3.66519143, 3.83972435, 4.01425728, 4.1887902 ,\n", + " 4.36332313, 4.53785606, 4.71238898, 4.88692191, 5.06145483,\n", + " 5.23598776, 5.41052068, 5.58505361, 5.75958653, 5.93411946,\n", + " 6.10865238, 6.28318531])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "execution_count": 24 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:49:24.077239145Z", + "start_time": "2026-04-21T14:49:24.009206531Z" + } + }, + "cell_type": "code", + "source": "r = np.array([0.007, 0.018, 0.042, 0.082, 0.127, 0.174, 0.222, 0.260, 0.277, 0.283, 0.276, 0.253, 0.214, 0.165, 0.116, 0.070, 0.037, 0.014, 0.007, 0.017, 0.043, 0.081, 0.131, 0.179, 0.226, 0.260, 0.283, 0.287, 0.270, 0.250, 0.209, 0.164, 0.115, 0.069, 0.034, 0.013, 0.007])", + "id": "521361cf972cd7ec", + "outputs": [], + "execution_count": 35 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:49:25.167815072Z", + "start_time": "2026-04-21T14:49:24.836836095Z" + } + }, + "cell_type": "code", + "source": [ + "ax = plt.figure(figsize=(6, 6))\n", + "ax.patch.set_facecolor('#E6E6FA')\n", + "plt.polar(theta, r, marker='o', linestyle='-', color='blue', linewidth=2)" + ], + "id": "f9ddeefa08b0baa", + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "text/plain": [ + "
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" + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 36 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:49:35.163343627Z", + "start_time": "2026-04-21T14:49:34.912099787Z" + } + }, + "cell_type": "code", + "source": "ax.savefig('./save1.png', dpi=300)", + "id": "fb76e328e03094a8", + "outputs": [], + "execution_count": 37 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:50:13.133692142Z", + "start_time": "2026-04-21T14:50:13.076635339Z" + } + }, + "cell_type": "code", + "source": [ + "r=np.array([\n", + " 0.048, 0.059, 0.052, 0.059, 0.077, 0.102, 0.139, 0.173, 0.203, 0.231,\n", + " 0.250, 0.259, 0.255, 0.234, 0.205, 0.179, 0.159, 0.145, 0.076, 0.055,\n", + " 0.046, 0.050, 0.065, 0.092, 0.126, 0.164, 0.202, 0.233, 0.253, 0.261,\n", + " 0.257, 0.241, 0.211, 0.177, 0.143, 0.108, 0.077\n", + "])" + ], + "id": "b8c13e869eca238a", + "outputs": [], + "execution_count": 38 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:50:14.015784145Z", + "start_time": "2026-04-21T14:50:13.513365845Z" + } + }, + "cell_type": "code", + "source": [ + "bx = plt.figure(figsize=(6, 6))\n", + "bx.patch.set_facecolor('#E6E6FA')\n", + "plt.polar(theta, r, marker='o', linestyle='-', color='blue', linewidth=2)\n", + "bx.savefig('./save2.png', dpi=300)" + ], + "id": "20b9cef606c167dc", + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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oxkdeYBLSAzshyU1vSEthoSDJLdd1c3OjUaNG+Pr60qRJE6Kjo/H39ycgIIB9+/alUnQkRWqWDjsATZB+Ph9Ak8SYs0jRkZVIUz5pI6OJkLdRKpWUK1eOJk2a4OvrS/ny5Tl69Cj+/v74+flx6dIlS7uYYooVK8Zvv/1O48aNiYw0EBmpEEt7BWZHiBCB1WFvr8DOLhqtNpphw4axYMECE3WxdQQGAz8DTgmOnwLWA6PjXqesKFiBAgXw8fHB19eX2rVrc+HCBfz8/PD39+fkyZNWUiTNFSmS0haoD6iTGHMUKTqyBniUOusZXIS8jYeHB02bNsXX15d69epx586deEFy+PBhmyioVqFCBaZPn4G3tzfR0SoiIqzhcyr4WBAiRGA1qNVgbx+LnR2MHz+eadOmmXD5ZCvgdyB/gmOPgeHAAiSx8eFpj3z58tGuXTvatm1LiRIl2L9/f7zwuHXrlol8l4ucSP8PbYHqSbyvQ0pkXYH08344evOxiZCEODk5Ub9+fXx9fWnatCl2dnZs3LiRZcuWsX//fisRoclTv359pk+fQYECBYmNtRMVWAVmQYgQgcWRervocHRUMnv2bMaOHcuzZ89MdLVySMKiVoJjscAfwCikBNJE3vH2tEeWLJlo1aoVHTp0oHLlyuzcuZPly5ezZcsWGaZZLEV+oA3QDvg0ifeNS35XxP0bncQYJY6ODVmwYCvduzchMjIQa2iqZwkUCgWVK1emTZs2tG3blpiYGFasWMHy5cs5c+aMpd1LFoVCQcuWLZkyZSqZM2clJsaeGPGIEJgQIUIEFsXJSYmDg5Y9e/bQp09vE0YPsgPjgB4knl7ZDgwALr73bI1GQ9OmTWnfvj2NGzfm1KlTLFu2jDVr1vD48WMT+WwpSiFFR9oh5b28zUukyMgKYA9SxMT0TfVsFbVaTf369Wnfvj3Nmzfn+vXrLF++nBUrVnDnzh1Lu5ckarWafv36MWbMWGJiDERFqUXyqsAkCBEisAh2dgrs7WN4+fIpvXr1Yvv27aa6EvAdMAKpUqmRK0jiY8t7z65Tpw4dO3bkq6++4uHDhyxfvpzly5dz7do1E/lrbVRBEiRfA+5JvP8QCAIaIyXypr6p3seEs7MzzZo1o0OHDtSvX58jR46wbNkyVq9ebZXTV56ensyYMRMfHx+iopQiX0QgO0KECMyKcepFo1EwduxYfv/9d6Kjkwrty0FDYDpQIsGxV0gJpzORpmHeJWvWrHTu3JlvvvmGbNmyxQuPkydPmshPW0AFfMabJb8pLTv/4ZVEHys5c+bk66+/pmPHjnzyySesWLGCuXPnEhwcbGnX3qFOnTr8/fcCcubMJaZoBLIiRIjAbBinXnbv3kWfPn24ffu2ia5UFJgKNE1wTA8sQirmlfSKj6pVq9K7d29atWrF8ePHmTt3LuvXrycmJsZEftoqGt4s+fUF7FNwTh1SUlPlY6V8+fJ88803tG/fngsXLvDXX3+xcuVKq2q492aKZgwxMYgpGoEsCBEiMDkJp1569uxJYGCgia7kBvyClIeQ8MF4OO5Y0DtnaDQa2rZty/fff0+hQoVYsmQJc+fO5cKFCybyMaPRFViYgnFtkQqjCd6Hq6sr7dq1o0+fPuTNm5cFCxYwZ84cbty4YWnX4vHw8GDmzFliikYgC0k1oBAIZEHq86LH1VXH779PoEiRIiYSIAqgG3AZqe6HUYDcRXr41eBtAZInTx4mTpzI3bt3GThwIHPnziVPnjz0799fCJBUcT2F4+6b1IuMwuvXr5k7dy5ly5alWbNm5MuXL77eTP369S3tHgD379+nVauWNGzYgCdPbuPiEos6qXIzAkEKECJEYBLs7BS4uGi5evUspUuXZuzYsSaa1qgGnECq7WFMnIxCyvsoztvfvosXL87ChQu5cuUKRYsW5auvvqJMmTLMmzeP8PBwE/iX0TmItArmfXH5GOCqedzJQBw8eJCvv/6awoULExISwooVKwgKCqJly5YolZa/de/fv5+SJT/hjz9mkCkTODl9+ByB4G0s/0kWZDicnPS4uOj49dfhVK5cmatXTfEAyg0sR5pqqZDg+FqkRNQRSF1rJby9vVm3bh0hISHodDo+/fRTvvrqK/bvF3kK6UOPNNVl3E+IMUxvDxwBSprLqQzFvXv3+PXXX8mfPz+LFy9mypQp/Pfff3Tr1g07OzuL+hYTE8OwYcOoVq0qjx/fElERQaoRIkQgG3Z2ClxdY7l69RyfflqGadOmpbPbqBKojVREq3bcaw1S3sclpDoWRk4jJT+2Bt7UGqlbty47duxg//793Lp1iyJFitCzZ0+uXLmSDr8EidmItAz33lvH7/MmCTgfcIjEReIEqSEyMpJZs2ZRpEgRJkyYwKBBg7h+/Tr9+/fHycJhiKCgIEqVKsWcObNEVESQKkRiqkAWnJz0aDQwbNgwpk+fLkOr86SKXz1B+rad861jvwB/IxXNkqo++vr6MnToUIoWLcrMmTP5448/bK7bqe2RVMXUHEi1WLzjxkQDnYHVlnIyw6BQKPjyyy8ZOnQoBQsWjP+cP3/+3KJ+VahQgVWrVpEzpwdRUXaYpO2TIMMgRIggXdjZKdBoYrh8+SJt27bl8uXLMlhtDqyL208uWKflTan1F/FHmzVrxtixY8mSJQtTpkwRuR5mJuneMc5I02SNE4wcBEwxu38ZlXr16jF06FAqVarEzJkz+e233yzaQsDBwYExY8bQr19/IiPBZC2gBDaPmI4RpBlHRwOurjpGjRpBxYoVZRIgSqQIiHE/KSKResAMwChAatasyeHDh/nrr7/4888/KVSoENOmTRMCxCoIR6on8neCY5ORfs/iFiQHu3fvpn79+jRo0IBq1apx/fp1Bg4ciIODg0X8iY6O5qeffqJGjeo8eXIHZ+dYVCqLuCKwcsQdQJBqlEpwdo7l8eNblC9fnsmTJ8sw/WKkJtIUzPs+mo5IvWCgTJkyBAQEEBAQwNatWylSpAhz5swRBcasDi3QE/g1wbEfkCIkGot4lBE5duwYn332Ge3bt6djx45cvnyZLl26WGw1zcmTJylVqiTLly8lUyY9Go3CIn4IrBchQgSpwsFBQaZMetavX03ZsmVNUFPDI0Wjsmf/lKVLl3L8+HEuXbpEoUKFGDdunIh8WD1jgC68KZnfAtgNZLOUQxmSwMBAvLy8GDJkCL/88gtnzpzB19fXIr5ER0fTp09v2rZti51dNE5OOov4IbBOhAgRpBgp+TSWrl270K1bNxOVlE5ZUatly35Hp9NRokQJfvzxR5F0alMsQSqpb8wZqYa0hDepjr2CtGIwGFi5ciWffPIJf/75J/PmzePw4cPUrFnTIv5s3LiRMmVKc+PGJVxcxPSMQEIkpgo+iEoFGk0sd+7coFmzZibuIKtEEiI5k3xXoTCQLVskOXNW4b//zprQD0FaSDoxNTnKIa2c8Yx7/RBJnPxrQg8/XpydnRk4cCCDBg1iz549DBgwgJs3b5rdDzs7OyZNmkSfPt8RGakkMlI8gj5mRCRE8F40GgWZMhn455/FeHl5maGFvQGp0+27KBQGDAZ48qSDECAZghCgKvBf3Gt3YB/whYX8ydiEh4czZswYihQpwpMnTzh37hy//PKL2ZNXY2NjGThwIM2bf4lSGYGTkw6FSBX5aBEiRJAsTk567Oyi+frr1nz//XdmSvb8GigStx+b6B2D4S5SG/mNZvBDYB5uA9V502HXGdgM9LKYRxmdx48f07NnT+rVq8eXX37JuXPnaNKkidn92LZtGyVLluTixTOi0upHjJiOMQH29gqcnZXY2SlQqRQ8e6YlOvrNf7OLixJHRyXGhPXYWAOvX+uJjX0zJkcONWp14q8Hr17pCA9/swrF0VGBi4sKgwFevtQlOj89KJXg5BTLlSuXaN78S27fvi2L3Q9jD1zEmBuwdm0EwcGHmDNnIy9fXkDqUyJ6h1szqZuOSYgDUq7I1wmOjUMqRCcwFUqlkl69ejFu3DgOHjxI//79zT5Fo1KpGDVqFIMHDyY8XElUlHkeSc7OStzcVISH63j1SrqvZM2qwsEh8XfzhO+DlJzv5iYltLx6pUt0bxekHiFCTICDgwI7OwWxsQayZlW/I0I0GgV6Peh0BhQKcHZWodEoePxYi3Gla44caiIj9UREvPnwGwzSBpJQyJZNzYsXOlQqcHFR8eRJ+ksT2tkpcHbWsmbNGnr27EFsbOyHT5KNgRgLWFWt+hq1+gsOHjxoxusL0kvaRQhI3ZAnIXVCNrIU6MHbUTGBvGTPnp3x48fTrl07Jk2axG+//UZ0dLRZfWjatCmrV68mJkZNZKRp52fs7BRkzix9gYuJ0ScSITodvH79ZgVPwvsuQM6c0n0XIHNmFY8eiZKw6UFMx5iA6GgDYWH6ZBVyVJSBmBgDOh1otZKaVioV70Q+9PrEW8I/BKUS9HoDWq2B2FiDLHOqjo4K3Nz0/PzzT3Tp0tmsAiR79mI4O0+Ie6XnxIk6QoB8dBiAn5DqhxjFdydgK+BmKac+Cp48eUKvXr347LPP8PX15fz583z++edm9SEgIICKFSsSFvYYZ2etyfJEFApJPLx8qUOvf/cebTAYkr3vKhTS69hY6b5rMCDyWdKJECFWgJOTEr3e8M50iouLEnd3Ndmzq3F2Tvyr0mqlzd1dTY4c6kTKPW0+GFCpomjSpAmzZs1Kl63U0qZNG1q1CiE83D7uyFJ0umCz+iCwJmYhNcQzLgGvDxzgzSoagak4ceIElStXZvLkyaxbt4558+bh6upqtuv/999/lC37KWfOBJusyqqbm4qoKD0xyUwCaDRv7ruuronvuwYDREbqcXdX4+6uJiJCn0ikCFKPmI4xMR4edu9Mx4A0ZZM5swqFQlLbz58nzulwdlYSG2tArzdgb6/E1VVJRISe168T50QYlXlaUSjA0VHLkyf3adiwgRlWv7whZ86czJkzh3z5alOlSib0ejukB09R3u3IKrAF0jcd8zZVAX/eFDK7g9R/5nw67QpSQr58+fj7778pXrw4PXr0YOfOnWa7tlqtZsaMmXTt2pWICHWygiG1aDSKRFPXWbOq0GoN8dMxjo4KdDopyqxWS7kfsbEGnj9P/CXPGP0QAiT9iEiIhYiJMfDkiZanT6XEpsyZVSSsrBweLil1rRYiIvS8eqV7JxoC6fsjkHJJtJw4cYjy5cuZVYB8/fXXnD9/Hq1WS40aB+IECMA0hAARSBxFKmR2Pe51XuAQUMdSDn1U3L59mwYNGjBu3DjWrVvH3LlzzRYV0Wq1fPddH/r1+wEXFz2Ojumf81AqpSjIixfJ53BERhri77tRUQZevNCh0Sjfici8nSciSDtChFgIgwF0Omlu8eVLSWU7Oib/65DyPhSyhSeN5df//PMPGjVqJMO31pSRI0cO1q1bx6xZs/j2229p02YyMTEt4t59jJSYKBAYuYwUETEWMMsMBAJtLeXQR8e8efP49NNPKVSoEGfPnqV+/fpmu/b8+fOpX78eCkU4Tk7pWxlnXK2YPbuaXLmkzcFBiZOTkly5kl4fbIxOq1Qi8cNUCBFiRbwvwUmtVsQnTKUXR0cFTk46unbtyk8//SRj87n306pVK/777z90Oh0lS5Zk/fr1SN1UjYwkuUJlgo+ZR0jRjy1xr+2BFUhJrAJzcOvWLT7//HMmTJjAhg0b+Ouvv3BxcTHLtQ8dOsSnn37Kgwc3cXaOTXMiaEyMgcePY3nyRBu/xcToiYw0JLuy0LhYIKkEVoE8CBFiAhQKUKuJL76jVitQq6VwoEIBrq7GGiLSmEyZVKhUEBUliQE7OwVOTkrUamPJdGluMjLSkO4QoJMTqFRRfPZZXVauXJnOnzRlZMqUiVWrVjF79mz69OnD119/zZMnTwAfoHbcqEvAPLP4I7BFwoFmJP6MTAL+ANRIn6M2cf+K25qpmDt3LmXKlKFIkSKcPXuWatWqmeW6t2/fxtvbm+Dgkzg7x5KWpsAGw5uEfuMmTatI0y/S9PSb+64xby86Wo9WrMI1GeKv1QTY2SnIkcOOHDmkPAc3NxU5ctjh6iqtS1erFWTJoiJHDjVZs6pRKuHpU138B91gMODoqCBbNmnli4uLivBwffy0TVpxctITHf2cypUrcfTo0fT+mCmiQoUKBAcH4+bmRunSpVm7dm3cOyoST70MQWr3LhAkhw74Bhie4Nh3SNGzfcDKuH9vAs3N69pHhDEqMm3aNHbs2MGQIUNQmGGdanh4OA0afM727VtwdtbKvnLGYJAKTRrvu8ZVNG8npQrkRayO+UhwcpJWwNSpU5u7d++a5Zr9+/dn7NixjBw5kilTpmBIFMb5Bvgrbv8QYJnOngJ5kXd1zPvoCCxEioK8jXF6sSWixL9p8fb2ZtWqVVy7do1OnTrx6NEjk19ToVAwffp0evbsRViYSkQpbBwRCcngSBVZY7l27QIVK1YwiwDJmjUrfn5+9O/fn/r16zN58uS3BIgLMCrB60Em90mQ0VgOPEcqcPY2xtvadMQtzrQEBQXh5eXF8+fPCQkJoW7duia/psFgoF+/fowaNRI3NwP29iJp1JYRkZAMjLEHzLFjh2nWrBmRkZEfPimdVK9enZUrV/Lvv//SrVs3Xrx4kcSoUcCvcftrSNwvRGApMmXKhIeHR/zm6elJrly5yJQpE66urri4uODq6vrOvoODQ9zKrcTxcb1ej16vR6fTERYWxuvXr+P/fXv/0aNH3L9/P34LDQ3l0aNH70maro009fIh6vCmOZ7AlPTo0YPp06czZcoURo8ejU5n+mmMTp06MW/efCIizNdzRiAvQoRkUFQqcHbWsnHjBrp27YLWxDFLhULBkCFDGD58OEOGDOGPP/5IZqQHcAWpW2oM8Alv6kAITImjoyNFihShWLFi8VvhwoXx9PTEw8MDJycnIiIiEgmBBw8e8OLFi/cKiOjoaHQ6HXq9HicnJy5dukSJEiWIjIxEqVRiZ2eHs7NzskLGzc2NHDlyxPvh4eFB9uzZ0el08eLk1q1bXL58OX47c6YUr1799eEfmrbAKlP/1wriKF26NGvWrOHRo0e0a9eO0NBQk1+zSZMmrF+/nqgoNZGR4nFmawgRkgExNqH7449Z/PST6ZcxZsuWjRUrVlCwYEG+/vprTp069Z7R85EakoEULh9gcv8+NjQaDZ9++ine3t6UKVMmXnDkzZuXV69eJXqYX7t2jXv37sWLjlev0rdEWq6cEHt7e3LlyhUfkcmfP38i8XTtWl5SFvmvg4iEmBcnJydmzZqFj48P7du3N0ul1SpVqhAYuAO93sHkze8E8iJESAbDzk6Bq6ueoUOHMG3aNJNfr3Tp0vj5+REUFES3bt0+8OApDZxGmqd/ARQGnpncx4yMRqOhbNmyeHt7x2+lSpXixYsXBAUFcebMGS5duhQvOh4+fGhSf8yVmOro6IJWe4XY2JwknfdhwM3tFTVqdCQ4+CQPHjwwmS+CpOnYsSNz5szhf//7H9OnTzf59UqUKMGBAwews3MjMlLkAtkKQoRkIIwCZMCA/vz5558mv16zZs1YunQpkydPZuzYsW8lnybFVqTeHyAVmvrdtA5mQDJlykTNmjWpU6cOderUoWzZsjx//pygoKBE2+3bty3in/lWx4C0DHdd3P67Dx0fn7NMmqSmePHi3L9/n/3797Nv3z727dvHlStXTOybAKBixYps2rSJwMBAvv32W2JiYkx6vUKFCnHkyBEcHDILIWIjCBGSQbC3V+Dioqdv3++ZP3++ya83fPhwfv75Zzp37szGjSlZBlkP2BW3fwsoDkSbzL+Mwtuio1y5cly5ciX+YXrkyBHu3LljaTfjMa8IAUmIzEDqK/M2d4CSuLhIS0lr165NnTp1qFq1Ks+ePYv/PxSixLR4eHiwadMmtFotLVq0MHk0rkCBAhw+fARn56xERAghYu0IEZIBMAqQb7/9hsWLF5v0Wo6OjixatIjKlSvTrFkzzpw5k4KzFEAQUD7udQekJZaCpPj000/x8fHB19cXb2/vRKJj//79Vj21YH4RAlIUpCZS0vN9YBjQIO69WcAPiUY7ODhQuXLleGFXtWpVnj59ytatW/Hz82P37t1mWUn2MaHRaJg3bx516tThyy+/JDg42KTXy5cvH4cPH8HVNbsQIlaOECE2jr29Ajc3A48ePcLLy8ukxYLy5MnD5s2bef36NS1btowrvZ4SOgJL4/aDgIokXd/h48Te3p7atWvHC49s2bIRGBiIn58fO3fu5P79+5Z2McVYRoS8TQHgHNIKLD1QA6kjb9I4ODhQvXp1mjZtiq+vLx4eHuzatQs/Pz8CAgJM/s39Y2LQoEGMGDGCHj16sHr1apNea/bs2XTt2pWYGKUQIlaMECE2TMIISL169fDy8qJu3bomESJVq1Zl48aNbNq0ib59+xIbG5vCMzVIfWHyxb2uS8rqO2RsnJyc8PX1pXnz5jRq1IiXL1/i7++Pn58f+/btIzraNqeqrEOEgLTqamrc/n9IUbiU5SN88skn+Pr64uPjQ+XKlQkKCsLPz49Vq1Zx/bpYTp5eGjduzMqVK/njjz/43//+l4JcstQzceJEOnToQJs2bVi1ajUuLtmEELFShAixUYxJqN9914cFCxagVCpZsmSJSYTI119/zYIFCxg8eHAaEl5/BibG7QcgNa37OFGpVNSvX5/27dvTvHlzbt26xdq1a9m8eTMhISGWdk8WrEeEqJCiHxXjXo8ARqfaSo4cOfjiiy/ixeK///7L8uXLWbNmTSoigYK3KVGiBH5+fpw5c4b27dvLKrqNAqROnTpcvXqVfPnycezYcZycsgghYoUIEWKDGAVIv34/MHfu3PjjphAiffv2Zdy4cbRq1YrAwMBUnp0duApkQmo+Vga4kG6fbI0KFSrQvn172rZti1arZeXKlSxbtozTp09b2jXZsR4RAvAp0vSfGikKUo70fP6yZs1Kq1at6NChA5UqVWLHjh0sW7YMPz8/kUOSBrJmzUpAQADR0dF8+eWXvHz5Mt023xYgRgoWLMjRo8fQaDITESHqiFgTQoTYGGo1uLrqGTx4UJJVSeUUIuPGjaNXr1588cUXnDhxIg0WZvAmKXAeUtO6jwN3d3e6detG586d8fDwYN26dSxfvpx9+/a9pxS57WNdIgRgHFKiKsARpPyQ9N/yChQoQLt27ejQoQN58uRh/fr1zJ8/nyNHjqTb9seEk5MTq1evJm/evDRq1ChdSdfJCRAjhQoV4vjx46jVbqKgmRUhRIgNoVSCq6uWyZN/Z8SIEe8Zlz4holKpmDt3LvXq1aNhw4Zcvnw5Dd4WQZqLtwPCgKKA9a7qkAOFQsFnn33GN998g6+vL/v27WPBggX4+/sTFRVlaffMgvWJEA1Sgbxica+/A+bIeoXy5cvTpUsXOnXqxJ07d5g7dy7//PNPuqvPfiyo1Wrmz59P7dq1adiwYZqWS39IgBgpXbo0R48eQ6t1ECXerQQxQWYjGLvhrlix/L0CBKTGYZ07dyY4OJi9e/eSM2fOFF/H0dGRjRs3UrFiRapVq5ZKAaJEaizWBvgbSYAATCYjCxBXV1f69u3LhQsXWLFiBdeuXaNkyZI0atSItWvXfjQCxDqJAnomeD0ByCPrFU6dOkW/fv3w9PRkypQpdOjQgXv37jFnzhxKlSol67UyIlqtlq5du7J69WoOHz5MhQoVUnV+SgUIwLlz52jcuBEajQ4HBxENsQaECLEBFAqpG+7evXv45puUTWmkRYhkyZKFnTt3kilTJmrVqpXKpaHNgZtIK19WIokRkNqtT06FHduhcOHCzJo1i3v37tGuXTvGjBlD3rx5GTp0qFhFYVUcQOpZBOCG3JEQI5GRkSxZsoSqVatSq1YtNBoNJ0+eZPfu3fj6+qJQiIfe+xg6dCjjx49n9+7dfP755yk6JzUCxMihQ4do0+ZrnJ312NmJ34mlESLEBnB01HL+/BlatWqZqnyC1AiRPHnycPDgQR49ekTDhg1TmSRmLJ+dO4n3MvOmcFTGoGzZsqxcuZLz58+TOXNmPvvsM6pWrcry5ctNXpZakFZ+QipkBtIKrVYmvdqpU6fo1q0befPmZceOHfz555+cPXuWjh07olarTXptW2b69On07t2bjRs30rZt2/eOTYsAMbJ582b69v0eFxcd4tdhWYQIsXKcnHTcv3+LRo0apmkZW0qESOHChTl8+DCHDh2iVatWqZw+UCIloBr338aA1C3X9j9qNWrUYMuWLRw5coQnT55QvHhxOnbsyL///mtp1wQf5AXwfYLXs4AsJr/q06dPmTRpEgULFmTGjBn8+uuvXLlyhT59+qDRaEx+fVtkxYoVtGjRgrlz59K7d+8kx6RHgBiZP38+EyaMx9lZh0qVHo8F6cH2nwwZGEdHPeHhz6lbt266ktzeJ0SKFi3Kvn37WLNmDd9++y06nS6V1msi9e1I7qOkRCpUVjNNvlsDTZo04eDBgwQEBBASEkLBggXp27cvt27dsrRrglSxATD2OXLHnNOEMTExzJ8/n+LFi/Pzzz/Ts2dPbt68yZAhQ3BzczObH7bCjh07aNCgARMmTKBv376J3pNDgBgZPXo0S5cuwckpFjFbZhmECLFSHB0VQCS1a9eSpVdIUkKkePHi7Nu3j2XLljF48OA0WvaQeZz10KhRI4KDg1m4cCFbtmwhX758DB8+3KSl8QWm5nvAONXYDamxovnQ6/WsWbOG8uXL07VrV5o0acLt27f53//+h7Ozs1l9sXaOHTtGgwYNGD16NP379wfkFSBGvvuuD7t27RRCxEKIJbpWiEajQKOJpWbNmgQFBclq27h8t0qVKri5uTFv3jz+97//pcNibVJWhr0OsD8d1zEflStXZuLEiZQpU4bx48czZ84cscIlhVjfEt2k6AUYi/xdQyqiZ7liY7Vq1WLChAkULlyYMWPGMG/evFS0Rcj4eHt7s2PHDk6fPk2xYsVkFSBG7O3t2b17D2XKeBERIZJEzImIhFgZajU4O+tp3bq17AIEpG9iEyZMIHfu3CgUCmbNmpVOiweRWqYnlzCrB27HjbNuihcvzvr169m1axeHDh2iUKFCTJ06VQiQDMd8pBUzAIWBkZZzBThw4ADVq1enV69e9O7dmwsXLtC2bVuxmiaOoKAgNm/eTO3atfnnn39kFyAgTZd98UUTnj17iKNjxi0maI0IEWJFKJXg5KRl5MiRBAQEmOQaxYoVY9euXUyZMoXAwMBU1xF5Fz3QL27/7aCa8Y+5P8mLFMuTO3du5s+fz6lTp3jw4AFFixblf//7nyg2lWExINUOMSZ6/4jU4M6y+Pn58emnnzJ27FgmTpxIUFAQDRs2tLRbFmfixIk0aNCA5s2b06tXL/r16/fhk9LAq1evaNiwAWq1Nm46XGAOhAixIhwdY9m6NYAJEyaYxH7hwoXZs2cPixcv5n//+1+aC5q9y0agJe+GtO/GHd/4zhnWgEajYcSIEVy6dAlnZ2fKlCnDd999J0sOjsDaucybhnYqYAFSjxnLotfrWbx4McWKFeOff/5h+fLlBAYGUrx4cUu7ZhES5oD4+fnRoEEDRo4cyXfffWeS6125coUWLZrj6ChqiJgLIUKsBCcnHbduXaNTp04msV+gQAH27t3LihUrGDZM6qWRnsqq77IR6cYOoEVK+CuItQqQpk2bcv78eZo0aULdunVp164d165ds7RbArPyO3Ambr88MMCCviQmOjqaadOmUbhwYf777z+Cg4OZMGHCR5W8mlQSqjE6NG7cuBQXbkwtO3fuZMiQn3Fy0qIUT0iTIxJTrQBHRwU63Ss+/bQMoaGhstvPkSMHhw8fZvv27fzwww/vvC9f07tXgCtwhTe9OqyLQoUKMWPGDKpWrcqQIUNYsGABBoP4E5AL20hMTUhF4BjS97FIpCRV6xOjZcqUYfbs2RQoUIAff/yRtWvXWtolk/KhVTDVqlUjMDCQrl27sm7dOpP4sHTpPzRr1oLwcLsPDxakGaHzLIy9vQJHRz1NmjQ2iQBxcXFhy5YtBAUFJTuXKk9EJCeSAAGQP3EsvWg0GkaOHMnZs2e5d+8exYoV4++//xYC5KPnJG+K7TkidXu2Ps6ePUutWrUYNmwYM2fOZOfOnZQoUcLSbpmElCzDPXLkCG3atGHx4sXUqVPHJH706NGdq1cv4uSU2tpJgtQgRIgFUanA2VlHz549OHHihOz27ezsWL9+PS9evKBz587vfeCmX4gUSbBvXSKkQYMG/PfffzRu3JjatWvz7bff8uzZM0u7JbAa/ofU9wjgM6Cr5Vz5AMuWLaN48eKcO3eO4OBgxo8fj4ODg6Xdko3U1AHZsmUL3333HZs2baJcuXKy+xITE0OTJk2Ijn6Fo6Ps5gVxCBFiIYxN6f78cw7//POPCewrWLx4MVmzZqVFixYp6mmSPiFSOMG+dYSz3dzcmD9/PmvXrmXSpElUqVJFlFgXJEE48G2C11OQ+iG1QaqDY123yVevXjFgwAAqV65M/fr1CQ4OpmLFipZ2K92kpRDZkiVLGD9+PNu2baNgwYKy+/Tw4UMaNWqERqMXXXdNhHX9dX1EODpqOXnyOIMGDTKJ/alTp1KxYkWaNGlCWFhYis9LuxCxrkjI559/zrlz58ifPz9lypRh7ty5YupF8B4CAeOXgSxIJd5XIhXiu4kkSqyLs2fPUrVqVZYtW8a+fftsOiqSnkqov/32GytXrmTHjh3pTK5PmlOnTtG5cyfRY8ZECBFiAZycFERHh9GyZeq64qaUn376iTZt2tCwYUMeP36c6vPTJkSsQ4S4uroyb9481q1bx9ixY2nQoAG3b9+2mD8CW2IX79a6Aak79DqsUYjodDomTJhApUqV+PzzzwkKCqJChQqWditVyFGK/ccff+TEiRNs3boVFxcXmT2ENWvWsHDhQhwdRSVbuREixMyo1VJjuhYtmpskL6FLly4MGzaMxo0bc+PGjTTbSb0QMYoQPZD266YHY/SjYMGClClThnnzrDPJUGCNKIGx73kPrLkb9Pnz56lSpQrLly9n//79jB8/Hnt7e0u79UHk6gVjMBjo0qULT58+ZePGjSb52QcMGMCdOzdFRVWZsc6/qAyKQiEVJBs9ejSHDx+W3X6DBg34448/aN68OSEhIem2lzohYswJuQN8OP9ETuzt7Zk2bRrr169n/PjxfP755yL6IUglxm7Qyc37W3836LejIidOnLDqImdyN6OLjY3lq6++IlOmTCxcuFAGDxMTHR1Ns2bNcHAQ+SFyIkSIGXF01BEU9C/jx4+X3XaxYsVYvXo1vXr1Yu/evbLZTZkQyQJki9s371RM4cKFOXLkCDVq1KB8+fLMnTv3wycJBO+QcbpBnz9/nqpVq7J9+3ZOnjxJx44dLe3SO5iiGy5AWFgYX3zxBTVq1GDIkCGy2TVy9epVunfvjpOTThQykwnx32gmpIJkkbRu3Ur2BMlMmTLh5+fHX3/9xYoVK2S1DSkRIglXxphPhBib/B08eJDq1auLiqeCdHBf5nGWRavVMmTIEFq3bs2UKVNYtGiR1VRbNZUAMfL48WOaNWvGsGHD8PHxkd3+ypUrWb16lcgPkQkhQsyAWg1OTnpatWqZjmqkSaNUKlm1ahVXrlxh+PDhstpOyPuFSMKkVNMLAY1Gw19//cWff/5J586dGTBgQIqWIAsEyZNxukEnZPv27ZQrV46CBQty8uRJypQpY1F/TC1AjJw+fZpu3bqxbNkySpYsKbv93r178+jRfZycxIq79CJEiIlRKECjiWXy5Mns2bNHdvuTJk0iX758tGvXziQrbRKSvBAxXySkRIkSHD9+nDJlylC+fHk2b95s0usJPhYSdoN+++/I+KDpn8R71k9oaCj16tVjzZo1HD16lF69elnED3MJECPr1q1j2rRp+Pn5kTVrVlltR0ZG0qyZLw4OBuztRX5IehAixMQ4Our4779z/Prrr7Lb7tSpE926dcPX19dsfTqSFiLmWZ7bvHnz+GV4tWvXFsmnApkxdoO+99ZxPdAKa23GmBJ0Oh0jR47Ex8eHkSNHsnjxYrPWFDG3ADEyatQoTp8+zdq1a1Gr5e2S/N9///Hdd31Eo7t0IhrYmRCNRoFKFUHJkiW5d+/tG1v6qFy5Mrt376ZZs2bs3r1bVtspIWHTu3LlXhMbWznuHWcgQtZrKRQKfvnlFwYNGkTnzp3ZtGmTrPYF8mF7DeySQom0CuZ3pAZ3IDW2O2cxj+QkV65cbNwoCarmzZvz4MEDk17PUgLEiLOzM0eOHGH//v1JNvBML2vWrKFBgy+IiBCN7tKC0G8mQqkEjUZL9+7dZRcguXPnZuPGjQwdOtQiAgQSR0QyZfKKO3ofuQWIk5MTq1evpmvXrlSvXl0IEIEZ0AP7gYRJ3rUt5Iv8PHjwgDp16nD58mX+/fdfkxY3s7QAAQgPD8fX15c2bdrQs2dP2e337NmTmJhwHB3FtExaECLERGg0WgIDA2VvM21vb8/GjRsJCAhg1qxZstpOLXq9nk6d+vDkifQNwM7ulqz28+XLx+HDh8mRIwcVK1bk3LmM8U1UYCvsT7CfcUQISDUvOnfuzLRp09i7dy9t27aV/RrWIECM3Lp1i6+++opp06ZRrVo1WW2/fPmSTp064eioF9MyaUD8l5kAjUaBwRBDz549ZLf9+++/A/D999/LbjstGAxvmkZ98UUJ2Xo3VK9enZMnT3L06FE+//xznj59KotdgSDlnAZexu3XsqQjJmPKlCm0bt2aOXPmMH78eJQyPUWtSYAYOXjwIEOHDmXVqlWyJ6pu376d1atXo9GIZbupRYgQmTFOw/To0Z0nT57IartZs2Z06tSJr7/+2oqWpL5JSlWpbqah++67dOzYkcDAQEaMGEGfPn3QarXpdVIgSAN64FDcvjtgvdVH08O2bduoUqUKX331FRs2bMAxnX3rrVGAGJk1axb//vsvixYtkt12377fEx0tpmVSi0hMlRknJy179gTSooW8za7y5ctHSEgIvXr1kn2KJ30MBn4DQKFox9KlTfDy8qJu3bppqokyePBghg8fTosWLUyypFmQdrJkyYKnpyceHh54eHjg4uKCnZ0darU6fnNxcWHo0KGMHTuW8PBwYmNj0Wq1aLVaoqOjefToEaGhody/f5+HDx/agMB88/mGb4CM248oc+bMbN68GbVaTdOmTXn+/HmqbVizADGSJUsWTp06xbRp05gxY4asths0aICfnz8vXyrQ6WQ1nWERIkRGNBoFCkU4RYsWkTUKolarOXDgACEhIfTp00c2u/IwFzDWHaiAUnkqftVMaoSIQqFg8uTJtG/fnsaNG3Pq1CmTeSxIjJ2dHcWLFyd37tyJRIaHh0f861y5cqHRaHj9+jX379/n/v37vHz5Ml5gGDeQlo4vX74cg8GAWq2OFyoajQZ3d3c8PDzIkSMHAE+ePIkXJcYt4evLly+bpNFjyqkMHIvbXw50sKAvpkej0bBixQqKFy9Ow4YNuXv3borPtQUBYqRKlSrs2rWLOnXq8O+//8pqe/HiJTRv3pLwcLFaJiUIESITSiVkyqSnfft2bNiwQVbbEydOpFGjRlSpUoWoqChZbaef3cBncftZgBeJlu+mRIjY2dmxaNEiKleuTMOGDbl+/bqpnf5osbe3p0yZMnh7e+Pt7Y2XlxdlypQhJiaGO3fuvCMC3n4dHh7+XvspXaKrVqvJmTNnsqLHuO/p6cnNmzcJCgpKtJkvR0gNPAdcgLtITe4yNiqVitmzZ9OkSRMaNGjAxYsXP3iOLQkQI4MHD+bbb7+lfPnyvHr1Sja7bm5uXLlyFQeHrERE2F5xO3MjRIhMODlp2b17O1991UJWu40aNWLNmjVUrFiRS5cuyWpbHm4hdRd9CmSPP5pSIeLs7My6devImTMnjRs3lr2s/ceMg4NDIsHh7e1N6dKlCQ8Pf+ehLpfwk7tOSObMmfHy8kr0MxQpUoTbt2+/8zM8fvxYhp8gKQKBBnH7hYGPQySPGjWK7777jqZNm3Ls2LFkx9miAAEp+rp161Zev35N69atZbX9+eef4+8fIKZlUoAQITKg0SiAMIoWLSLrNzRPT09CQkIYOHAgy5Ytk82ufDgg1QVRAseBKone/ZAQyZ49O1u2bOHVq1e0aNHChotbWQcqlYoaNWrg4+PDZ599RunSpXn9+vU7D+sbN26YzAdzFCvLlCnTO8KkaNGi3Llzh6NHjxIQEMDWrVtl/FscDoyN2+8GyJ/UaK307t2b3377ja+//pqtW7e+876tChAjOXLkICQkhNGjR8vegXvhwoW0aPG1KGL2AYQISScKBbi56ejatTNr1qyRza5SqWT37t3cuHGDbt26yWZXXkoAF+L2k54vT06IuLu7s3v3bs6dO0enTp2saLWPbeHm5kajRo3w9fWlcePGxMbGEhAQQGBgICdPnuTmzZtm9cdSFVPd3NwoX748derUwcfHh7Jly3LkyBH8/f3x8/Pj8uXL6bBegzeN6xYDXdPtry3x1VdfsWTJErp06ZIoKd7WBYiR2rVrs2XLFqpVq8aZM2dks+vq6sqNGzdQKjMRFSUes8khREg6cXLSc+7cv9SoUUNWu4MGDaJHjx54eXkRESFvFVL5aAr4x+2PBkYkOeptIaJSqdizZw8nTpyga9euJm+8l9EoUKAAPj4++Pr6UqtWLS5duhT/sD1x4gQGg+X+pK2lbHvu3Llp2rQpPj4+1KtXj9u3b+Pn54efnx9HjhxBl6oYuT3wAnAEbgCFTOGyVdO4cWPWrFlDz549WbVqVYYRIEZGjRrFl19+SYUKFYiNla/WR9u2bfn77wW8eqXGgn+WVo0QIelArYZMmaBs2U9TlLyVUkqUKMG///7L559/ztGjR2WzKz/9gOlx+52Af5IdaRQilSpVQqVSsX//fnr27CkESApQKBRUrFgRX19ffH19KVGiBPv378fPzw9/f3+zRzveh7WIkIQ4Ozvz+eef4+PjQ9OmTVGpVGzduhV/f3+2b9+eQj/3AHXj9vMBd0znsJXSoEED1q9fz969e/Hy8sowAgSk5Pjjx48TEBAge7PRo0eP8sknXkREiPohSSFESDpwdo5l/vw/GTRokGw2lUolhw8f5tChQwwePFg2u6ZhFmCs3FoNeL9gypMnD+fPn0en0/HJJ5/w8OFDUzto07i7u9OlSxd69OhBtmzZ2Lp1K35+fmzfvl3WbH45sUYRkhClUkmlSpXiBV2BAgVYs2YN8+bNe2/yJYzkTaSvA9L048fHypUrad26NYMHD2bq1KmWdkdWPv30U44ePUrNmjUJDg6WzW6pUqU4deoUL16A1ZfFsQCiYmoacXRUEB0dwciRI2W1++OPP5I5c2b+97//yWrXNBRJsP/+b0S5cuVi165drFu3ji1btrBnzx7ZSrxnJJRKJQ0bNmTdunXcvn2bevXqMWzYMHLlykWHDh1Ys2aN1QoQW0Cv13Ps2DGGDRtG6dKlqVatGuHh4Wzbto2zZ8/yww8/kCVLliTOzLh9ZFLKxIkTqVmzJt26dWPUqFGyryixNGfOnGHixIksXrwYe3t72eyeP3+eOXPmYG8vSronhYiEpAEpGVVL165dZE1GNU7D1K9f/wPfyqyFK0hC5DXgluyonDlzsm/fPo4fP063bt1QKBRpKmiWkcmSJQs9e/akd+/eODg4sGjRIhYsWGBzNVOsPRKSHI6OjrRs2ZJevXpRoUIF1qxZw4wZMxJ8I3ZEyguxBy6TUUu4J8fbOSANGzZk/fr1dO7cmfXr11vaPdlQq9UcP36crVu3yvpFUEpSvYlS6SaSVN9CRELSgKOjnlOngmUVICqVisWLFzNnzhwbESBqIH/cfvJREDc3NwIDAwkODqZ79+4YDAb0ej2dO3cmODhYll4ztkzJkiX566+/uHv3Lo0bN2bgwIHky5eP4cOH25wAsWUiIyP5559/qFmzJl5eXrx+/Zr9+/dz8OBBWrZsiUoVA5yMG10MyGVBb81LUkmogYGBtG7dmiVLlvD5559b2EP50Gq1dOnShYEDB+Lt7S2b3devX9O37/c4OMSiEKkhiRAiJJWo1eDoqKRHD3k75P74449kypRJ9qQo01EAMK5/f0lSHyUHBwc2bdpEaGgoXbp0SZSE+rELkcaNG7Njxw7+/fdf7OzsqFatGnXr1mXjxo020E8lY3PhwgW+//578uTJw8aNG/ntt9+4fv06VapEJxiVMbvqvs37VsFs3bqVnj17sm7dOipUqGAhD+Xn7NmzTJgwQfZpmZUrV3LmzBkcHUUkJCFChKQSB4dYZs2aKetqmE8++YRff/2VLl26WGFZ9qRoDhxJ8LoOcDPuuIRSqWTZsmU4OjrSqlWrJB+sH6MQqVGjBocOHWLRokXs27ePfPny0b17d06fPm1p1wRv8fLlS6ZOnUqRIkXo168fLVvmiH9PqfzsPWdmDFKyDHflypX8+uuvbN26laJFi5rZQ9MxceJEoqOjZf9S2KNHdxwdpS+zAgmRE5IKNBoFOt0LChYsSFhYmCw2lUolR44cYf/+/fz888+y2DQtzYF1gCJuM2KMcrQENjJ79mzq1q1LjRo1PtiALLW9ZmyR0qVLM2HCBGrVqsXvv//OtGnTPtiHxRax1ZyQlOGCQvECg0FFsWIxVK3ai3/++SdDLjNPbR2QCRMm0KZNG6pVq8b9+/fN4KHpKV26NMePH5d9tcyMGTPo3LmHqKQah4iEpAI7uxgGDx4smwAB6NGjB9mzZ2fEiKQLfVkXSsDY+vrtiU3jR2k6w4b9D19fXxo2bJiiDqgZOSKSP39+lixZwokTJ7hy5QqFCxeOb3MvsDXCMBiCALh82Z7vvx/J6dOn8fHxsbBf8pKWQmRDhw5l3759bNu2jUyZMpnYQ/Nw7tw5Jk+ezJw5c1DImMjx66+/olTqsbcXySEgREiKcXJS8vDhA5YuXSqbzWzZsjFhwgR++OEHG5mGqYnURTS5j40SyEflyoNo1KgRd+6kvKBTRhMi2bNnZ/r06Vy4cAGDwcAnn3zCwIEDefLkiaVdE6SLN0t1q1T5ib/++ov58+dz6NAh2asmW4L0VELt2bMnd+7cYfPmzTg4OJjIQ/MyceJEcubMKWvrjJcvXzJmzGjs7ESrChAiJEUoFGBvH8vAgQNkDb2OHz+eQ4cOJdkYyjrxSNGowYOncv78+VRbzwhCxMXFhV9//ZXr169TqFAhKlWqRJcuXbh165alXRPIwoH4PZ2uGrNnz6ZIkSIEBgayZcsW/P39KV26tAX9SzvpLcWu1Wpp3bo19vb2LF68WH4HLUBkZCT9+/dn4sSJydSPSRuzZs0iOjoirvnpx40QISnA0RH+++8//Pz8ZLNZsWJF2rdvT79+/WSzaXpSNtd7+fK+NF/BVoWIUqmkT58+XLt2jQYNGtC4cWN8fX05d+6cpV0TyMpB3uQ/SUXLwsLCGDNmDIULF+bq1aucOHGCJUuW4OnpaTEvU4tcvWAiIyNp1qwZVatWZdiwYTJ6aDmMPZnGjRsnm82oqCiGDh0ioiGIxNQPolRC5swG6tevx6FDh2SyqeTYsWMEBAQwevRoWWyaByXSKpjcJK1fDUg9NQry5kadxivZULJq0aJFWbRoETlz5uTHH3/E39//wydlUDJ2YqqRYKA80mc8G1IRszfkz5+f8ePH07hxY/r37y/rFK4pMEUzurJly3Lw4EE6dOgg65c3S1G4cGHOnDkja5KqSqXiypWrZM2al4iIjJfcnFJEJOQDaDR6Dh48KJsAASkZNWvWrPz222+y2TQPeqSmdSAJjoQY4rb+pFeAgG1ERJRKJQMGDODUqVOcOHGCsmXLftQC5OPBmBeiBKq/8+6tW7do3749nTp1YuLEifj7++PhkbKpTHNjqm64p0+fpkuXLvzzzz82Oz2VkGvXrjFlyhRmz54tW5KqTqfjxx8HYmcX81EXMBMi5D2oVFJC6sCBA2SzmS1bNsaPH0+/fv1sJBn1bTYiLcN9meioQnEP4/JcubBmIVK0aFEOHDhA7969adSoEQMHDiQyMtLSbgnMwoEE+98gTcu8eysNCAigVKlSPH/+nPPnz9OxY0dzOZgiTCVAjGzYsIGpU6eyefNmsmXLJrt9czNhwgRy5cpF165dZbO5ceNGrly5gqOjbCZtDiFC3oODg44NGzZw9uxZ2WyOHz+ew4cPs2XLFtlsmp+NwJD4V5ky/YXBkB85BYgRaxMiSqWS/v37c+rUKU6ePEnZsmVljZIJbAHXBPs+wD7eLtZn5Pnz53Tq1InOnTszadIk/Pz8rCIqYmoBYmT06NGcOnWKtWvXorbxCl3GJNVJkybJmqTav38/NBrDRxsNESIkGaTy7CqGDBny4cEpxMvLi/bt29O/f3/ZbFqKwoXd4/dfvjyPHFMwyWEtQqRIkSLs37+f7777jkaNGjFgwAAR/fjoaA4s4t3pyNxIRfzeFSIA/v7+lCpVipcvX3Lu3Dk6dOhgWjffg7kECIDBYKBz585kzZqVadOmmfRa5mDz5s2cPHlS1ly+ffv2ceTIkY+2nLsQIclgZxfL/PnzuHnzpmw2J02axMyZM7lx44ZsNi1BlixZ+Pnn7xIccTH5NS0pRBQKBf369ePUqVMEBQWJ6MdHS8qK9SV3W33+/DkdO3aka9eu/P7772zatIlcuczbCM+cAsRIeHg4zZo1o127drRq1cos1zQlAwYMoHv37hQuXFg2mwMHDsDJSYHyI3wif4Q/8odRq8HJyU7WJVn169fHy8uLSZMmyWbTUixcuJD7968kOGJ6EQKWESL58+dn//799O3blyZNmtC/f38iIiJMfl2BNZKyYn3SuOTx8/OjVKlShIWFcf78eVq3bi2vm8lgCQFi5NatW3Tr1o358+dTqFAhs15bbi5dusTy5csZO3asbDZDQkLYtWs3Gs3HFw0RIiQJ7Oy0/PPPUtl6ICgUCiZOnMiECRN4+fLlh0+wYvr27YuXlxeTJ49McNQ1ueGyY04hUrNmTU6ePMn58+f59NNPOXjwoMmuJbAFUprL8eFxz549o0OHDnTv3p2//vqLiRMnojTh12BLChAjmzdvZsmSJaxevVrW7rSWYOTIkfj6+uLl5SWjzRE4Oio+utwQIULeQqUCZ2c148ePl81mq1atcHd3548//pDNpiXw8vJiwoQJtG3bltev7yV4xzyRECPmECI9e/Zk27ZtDB8+nN69e4voh4CUFutL+TjYtGkTlStXplmzZvj5+eHm5pY2196DNQgQI4MHD47/UmbL3Lt3jz/++IMJEybIZvPEiROcPHnyo1spI0TIWzg46Nm82Y/r16/LYk+tVjN27FhGjhxpo0tyJVxdXVm9ejVjxozhyJEjQMImfuYVIWA6IaJWq5k1axbjxo2jcePGzJ8/Xxa7gozAQaRifMklYeuB23HjUs6VK1eoUqVKfBHDIkWKpM/NBFiTAAGIiYnh66+/plu3bjbf+G/ixIlUrFiRzz77TDabI0b8ioOD/qOKhggRkgClUqoLMnr0KNlsdu/eHa1Wa/O9FObNm8e1a9cSFFizrAgB+YVI1qxZCQwMpGbNmlSsWFFMvwje4n3F+ozCpD9pWSn28uVLmjZtSkBAAMePH6d+/fpp9tKItQkQI9euXeObb75h0aJF5M2b19LupJnnz58zadIkWaM6u3fvjqsb8vGoECFCEqDRGNi3b79sdUGcnJwYMWIEw4cPR6fTyWLTEnTp0oXatWvTsWNHDAbjzTehCDFfTsjbyCVESpUqxcmTJ3n+/DnVq1cXDecEyWAs1vd2Sfq7pLdYn16v56effqJ///5s2rSJvn37ptmWtQoQI6tXr2b9+vUsX77cpLkwpmbmzJl4enry1VdfyWZzxIhfUatjZbNn7djub19mFArQaKTkILno168ft27dYuNG+Yt4mYs8efIwffp0unXrxuPHjxO8EwtEx+1bJhJiJL1CxMfHhyNHjrB06VJatWpFeHi4iTwVZAw2AusTvO6K1C9Jnr/zf/75h3r16jF06FDmz5+f6iROaxcgRgYMGICHh0e6xJaliYyMZNSoUYwbNw6VSiWLzU2bNvHo0cOPJhoiREgcjo4KTp8+HZfvkH6yZMnCTz/9JGuxM0swf/581q1bx/bt25N41xgNsawIgbQLkaFDh7J8+XK6devGqFGjEkR6BIL34Z5gPwC5i/UdP36cChUqULZsWXbv3p3iz7OtCBCAiIgIunbtyrhx4yhatKil3UkzCxcuBKBbt26y2DMYDIwaNRK1+uPosCtESBz29lpGjPhVNns//PADQUFB7N+//8ODrZTu3btTqlQpBg4cmMwI6xEhkDohYm9vz/Lly/nmm2+oWbMm69evT3asQPAuRhGiBZ6a5AqhoaHUqlWLW7ducfLkScqUKfPe8bYkQIwcOnSI+fPns2jRIpudltHpdIwcOZKhQ4fKFg1ZsWIF4eFhaDQZPxpim791mXFyUnLz5s1kvu2nHmdnZ3744QdZl/mam7x58zJlyhR69OjBq1evkhllXSIEUiZENBoNGzdupGjRolSsWJHTp09bwFOBbWOsdPqQd5NU5SMqKooOHTowb9489u7di7e3d5LjbFGAGBk2bBg5c+akX79+Hx5spaxduxa9Xk+bNm1ksRcbG8vYsWNQqaI/PNjGESIEUCqjGDt2jGz2evXqxZUrV9izZ49sNs3N33//zdq1a9mxY8d7RhmT81x5t4y15XifEHFyciIgIIBMmTJRv379t/JcBIKUoOBNJOSBWa44btw4xo4dy65du6hatWqi92xZgICUV9G1a1fGjBlDsWLFLO1OmtDpdPz2228MGTIExXvW1/bp04cbN24QGRnJsWPHqFixYrJj9Xo9zs4a3N3VuLuryZpVhZ1dYtuZMqnw8LBLtGXJIk80xlx89CLE3l6BVhvD2rVrZbJnz48//ihrERtz06NHDz755BN+/PHHD4xMuELGyZQupZqkhIirqyvbt29HqVTSsGHD90R4BIL3kQ0wdoR9aLarTp8+naFDh7J9+3Zq164N2L4AMXL48GHmzZtn09MyS5YsIVu2bDRt2jTJ91u3bs3UqVMZNWoUXl5enD59msDAQHLkyJHk+GrVqrFv3z7Cw6N58kSLTgdZs6re6S8TFaXn4cPY+O3FC9taiWmbv20ZUamimT17NrGx8iyJ6tixIy9evMDPz08We+bGw8ODyZMnf2Aaxojla4W8j4RCZP/+/ezbt4+IiAi++OILsQJGkA4SNp0zTyTEyF9//UX//v0JCAhg1apVGUKAGBk+fDg5cuTg+++/t7QraSI6OpopU6YwdOjQJN8fOHAg8+fPZ/HixVy4cIFvv/2WiIiIZBNaO3ToQM+ePXF0VGMwwMuXkrhwcHg30qLXv9lsLbf+oxYhKhW4uDgwZ84cWewplUp++uknJk2aZLOrLCZPnsyWLVs+MA1jxLpFCEhCpG/fvmTPnp2iRYvSs2dPIiMjLe2WwKaxnAgBWLRoEXv37qVVq1YMGzYsQwgQkKZl+vTpw+jRo3F3d//wCVbI3LlzKV68eHykyoidnR3e3t7s2rUr/pjBYEhyei0hN27cYO/evWg0UhkJhUISGgmxt1eQM6eaHDnUuLkpba7a6kctQhwcDAQEBMjWqO6rr77C3t6elStXymLP3NSuXZumTZsyaNCgFJ6RsGCT5QqWvQ9nZ2cCAgI4efIk/v7+bN++3SzddwUZmYQPSPOLkIkTJ+Ll5cXgwYP5448/qFnz/V17bYldu3YRGBiYoDKzbREWFsYff/zxTjQke/bsqNVqHj5MPH338OFDcuXKxfv4/fffsbPT4eqqRKeD6Og3X3Cjo/W8eKHj2TMtr17psLdXkjWryAmxGRwcDEydOlU2e8OGDeP3339Hq9XKZtNcqNVqZs+ezahRo1Ihyqw7EuLo6Ii/vz9RUVG0aNGCjh07mqX7riCjY7lISMIckKlTpzJgwAACAgKoXLmyWf0wJT/++CMtWrSgRo0alnYlTcycOZMaNWrI1mF3165dxMRE4eio5PnzxM+WqCgD0dEGtFpJnDx/rsXeXom9ve2EQz5aEeLoqCA09J5s/UEaNWqEh4dHfOEaW8NYtXDmzJmpOMt6RYiDgwMbN25ErVbj6+tLVFSUWbrvCj4GLCNCkkpCXbBgAUOHDmXbtm2UL1/ebL6Ykrt37zJmzBhmz54tW90Nc/L06VPmz5+fKBry5MkTtFrtO9NM7u7uPHjw/s/QwIEDcXBwIDw8ig99v9XpQKczoFYLEWL1KBRRTJ8+XTZ7gwcPZsaMGTbZKdfDw4ORI0fy/fffpzKKY50iRKlUsmrVKjJlysQXX3xBRERE/HtCiAjSj/lFyPtWwcyZM4cxY8awc+dOSpQoYRZ/TM20adOwt7enT58+lnYlTUyZMgUfHx8KFy4MSHU/goKCqFevXvwYhUJBvXr1OHr0aLJ2Bg8ezP/+9z++/PJLNBo1anWyQwGpCatSKQkRW0ERGhpjO97KhFoNbm4GcuVy58WLF+m2V7JkSf7991/y5s3L06emqZ5oSpYtW4ZSqaRdu3apPLMnMC9uvxuwSF7H0sikSZPw9fWlatWqyf5+lUolS5YswcvLi7p16/Lo0SPzOmkjZM+enXz58uHh4YGnpyceHh7xm/G1m5sbarUatVod3+dEq9XGb1FRUTx48ID79+/Hb6GhoYn2b968if7tjDurZSdg7HLrxrvN7OQlpctwx44dS+vWralcuTLPnz83qU/moH79+qxdu5bixYvb5N/nqlWruHv3bnyOXevWrVmyZAnffPMNJ06coH///rRu3ZoSJUrw6NEjlixZwr179xg2bBgAP/30E6NHj6Zdu3bxS5jr1GlERIQCg0FKUnVxURIVZUCvN6BSKXBzU6FQwOPHtpMS8FGKECcnPX5+a+nUqaMs9mbPno1Go6F79+6y2DMnNWrUYOvWrZQoUYLQ0NBUnt0WWBG3/wMwS17n0kCHDh2YOXMmlStX5sqVK+8dK4RIYtzd3fH29k605cmTh8ePHycpHozbixcviI2NRavVotFo+O+//yhdujTR0dGo1WocHR3JlSvXO+Il4RYbG0tISAhBQUHx28WLF620+/RZoDQQianr46SmDohCoWDDhg04OzvTuHFjK/2/Sx1r1qwhLCxMtr4s5qR69er4+/uTJ0+e+Gjsd999x+DBg8mVKxchISH88MMPnDhxAoC9e/dy8+ZNunbtCkgrYwoUKPCO3devdYSFSYI9a1YVarUiLvoBMTEGXr/WvbOCxpr5KEVI1qwGateuxfHjx9Nty83NjXv37lGrVi1OnTolg3fm5ciRI2zdupWxY8em4WwfwFgPZRhg2QJtlSpVYs+ePTRv3pydO3em6JyPVYgoFAq8vb1p1KgRlSpVwtvbm1y5cnHp0qV4ERAcHMypU6d4/Trl3/RdXV159eoVbm5uKT5PqVRSokSJROKnXLlyKJXKeGGyb98+duzYQVhY2IcNmpxHQA7gBlDIZFdJSyEyFxcXjhw5wu7duxkwYIDJfDMX+fPn58KFC1SsWJHz589b2p1Uc+rUKebMmcP8+fNlsXft2nWyZs1LZGTGeWx/dCJEo1EQFnaffPnyyWLvhx9+oHXr1jaZyd2sWTP++usvihQpksbiXXUBY2n68cBw+ZxLJZ6enpw8eZLffvuNGTNmpOrcj0WIaDQa6tWrh4+PDz4+Pjg5OREYGMjRo0cJCgoiJCQk3Q/5tIiQpFAqlRQrVgxvb28qVKhAw4YNKVSoEHv27MHPzw9/f3/u3buXLl/ThhowFjY8ClQzyVXSUwm1QIECnDx5kp9//tlmE+UTMn36dAoWLEizZs0s7Uqq6datG/369aNs2bKy2BsyZAg///wLkZH2stizBj46EeLoGMu0aZMYPXq0LPYuXrzIqFGjbK42iEql4syZM8yePTsdxdoqAcZo0gagFXK3NE8JGo2G/fv3c+7cuTRPiWVUIZIzZ06++OILfH19adCgAQ8ePMDPzw8/Pz8OHjwo+3JyuURIUhQpUgQfHx98fX2pXr06Z8+ejRckwcHBsl4reTwBo/jZCLSQ/QpylGKvXbs2W7ZsoWHDhhw+fFhmD81Ljhw5uHbtGo0bN7a5n8XR0ZG7d+/SrFkzDh06lG57efPm5caNGzx5orepKZf38VGtjpESeRxYvny5LPbq1KlD1qxZbbINfKdOnXBwcEhHmLA5sCnB6xbAzbjj5mX+/PlotVp69+6dZhsZadWMSqXCx8cHPz8/7t69S48ePTh+/DgVK1akcOHCDBgwgL1799pcPZurV68ybdo06tati7u7O1OmTKFEiRLs2bOHixcvMmjQoGT7cMiHaVfGyNULZv/+/QwaNIgNGzaQN29eGT00P48fP2by5MlMnDjR0q6kmsjIyPhkVDm4c+cO//4bhEaTcR7dH1UkxMlJyY0b5yhfvpws9latWsWtW7f4+eefZbFnLjQaDZcvX+ann35i1apVabDQHFgXt5/wj8EozVsifUs0PYMHD6Zv375UrFjxnWqEacGWIyIeHh58++23dO/eHZ1Ox4IFC1i4cCF37941mw+mjIQkh729Pc2bN6dnz57UqFEDPz8/Zs+ezf79+01wtSbAlrj9EYA8EVUwTTO6OXPmUKVKFWrUqJFoqbqt4eLiwrVr1+jevTsBAQGWdidVlChRglOnTpEnTx5ZVk/26NGDyZOnERHhIIN3lifjyKkUYDBE8vff8iQI5cyZky+//JJ58+Z9eLCV8d133/H48WNWr16dhrOVwIwE+2+/BzA9iffkp0mTJvz66680a9ZMFgECthkRqVy5MsuXL+fGjRuUL1+enj17UrBgQUaPHm1WAWIpYmJiWL16NfXr16dUqVJcv36dDRs2EBISQteuXdFoNDJezTSREFN1w+3Xrx8vX75k8eLFstm0BGFhYYwdO5YJEybYXJfdixcvcuzYMTp37iyLvXXr1uHkpMEG67gliW39NtOB1KxOk8YH77t07dqVAwcOcO3aNVnsmQs3NzeGDRvG0KFD09hkryaQl+Q/OkogX9w401GiRAlWrFhB9+7dZV+VZCtCpEaNGhw8eJAdO3bw+PFjSpUqha+vL9u2bbOhmhvycu3aNYYMGUKePHmYPXs2P/74I7dv346vOpl+Ela8lEf4mkqAgFQkq1WrVlSoUIFffvlFVtvmZu7cuTg7O9OhQ4f3juvTpw83btwgMjKSY8eOUbFixWTH9ujRgwMHDvDs2TOePXvGzp07kxw/atQoQkNDiYiIYOfOnRQpUiRVvv/11198++23qTonOV68eEFgYCAaje1URX0fH40I0WgU7N9/gCdPnshir0uXLvz999+y2DIn33//PefOnUthl9yk8JB5XOpxdHRk48aN/PHHH6xZs8Yk17BmIVKmTBn8/f3jux3nzZuX/v3725wgNiWRkZHMnz+f0qVL07lzZzp27Mjly5fp0qVLOr9JyxsJMaUAMfLkyROaNWvG4MGD+fzzz01yDXMQExPDyJEj+eWXX5L9HbZu3ZqpU6cyatQovLy8OH36NIGBgcnmCtWpU4eVK1dSt25dqlatyp07d9ixYweenp7xY3766Sd++OEHvv32WypXrkx4eDiBgYGpErUbN24ka9asVKsmz2qqhQsXoFTGyGLL0nw0OSEuLjH06tUjjTkQifH29mbPnj24u7vbVJl2R0dHbt26RYcOHdIhQmoD+1Iwrg5gijl5qSRylSpVqFmzpsm/8VtTjkiBAgUYPXo0LVu2ZO7cuYwbN042US0XlsgJSQkKhYK2bdsyZswYIiMjGTZsGH5+fh8+8R1WA63j9gsAt9LskzkESEJ69uzJL7/8QpkyZXj16pXJr2cK1Go1V69e5aeffkryC8ixY8c4efJkfC8shULBnTt3mDVrFpMmTfqgfaVSyfPnz/n+++/5559/AAgNDWXKlClMmTIFkKLJDx8+pEuXLqmKrP/5558YDAZZStE7ODjw5MlToqIciI217Uf4RxEJUatBrVaxefNmWey1b9+e9evX25QAAejevXu80k87B4E7JL8UVw/cjhsnP9WrV+ebb76ha9euZplysIaISI4cOZg+fTr//fcfer2eTz75hAEDBlidALFmDAYDK1asoESJEvz555/MmzePQ4cOpaG+T8JISNqnY8wtQEBaRXbx4sX4h6ktotVq+f333xM1hzNiZ2eHt7c3u3btij9mMBjYtWsXVatWTZF9Jycn7OzsePbsGQAFCxbEw8Mjkc1Xr15x/PjxFNs0smzZMlq3bo2dnV2qzkuK6Oho1q1bi52d7VfF/ShEiIMDbN68icjIyHTbUqlUtG3blmXLlsngmflQq9UMGjSICRPSW9VUD/RLsP/2ewD9k3gv/Tg6OrJo0SJ+/fVXLl++LLv95LCkEPnmm2+4evUqhQoVolKlSnTp0oVbt9L+7ftjJzY2ltmzZ1OkSBECAwPZsmULq1atInv27Cm0YBQhL4C0fQmxhAAx0qNHD1q1akXDhg3Nel05WbhwIZ6enjRq1CjR8ezZs6NWq99JUn/48CG5cuUiJUyaNInQ0NB40WE8Lz02jRw5coTXr1+/43daWbRoEfb2th0FgY9EhCiVsSxdulQWW/Xq1UOv17Nv3z5Z7JmLdu3aERUVxYYNG2SwthFpGe7bFStfYcrluePGjePRo0eydj9OKeYWIvny5WPnzp0MGzaMVq1a4evry7lz50x6zY+JsLAwxowZQ9GiRbGzs+P8+fN89dVXKTjT+OBJWz6IJQUISHUmBg0axPz583FzczP79eUgMjKS6dOnJxkNSQ8///wzbdq0oXnz5kRHR8tqG6SozPLly2nfvr0s9g4ePEh4eDj29radoJrhRYg0FaNkz549Hx6cAtq3b8+KFStsavWBQqHg559/5rfffpPR741Ic+I9Ehzzw1QCpEaNGvTq1cts0zBJYS4h0qtXL86ePcuNGzcoU6ZMOqfPBO/j0aNHfPXVV/Tr14+5c+eyatUqsmXLlsxoZ6SuuSBFQVJ3+7S0ADHy999/899//zF16lSL+ZBe5syZQ7ly5RIlej558gStVou7u3uise7u7jx48H7R+OOPPzJkyBAaNGjA2bNn448bz0uLzaRYvnw5vr6+uLq6pvrctzEYDGzevBk7O9t5FiVFhhchDg4K9uzZI4uydXJyokWLFjY3FdOsWTPc3NziE63kQw8s583USwmZ7Us4OTmxaNEifvnllw92xjU1phQi+fLlY8eOHfzyyy+0atWKXr162WwCoa2xatUqSpYsiZ2dHf/99x8tWrxdjr05kHAKsBypqRBsLQLESM+ePWnZsqVsUwPm5uXLl8yZMydRNCQ2NpagoCDq1asXf0yhUFCvXj2OHj2arK3Bgwfzv//9j0aNGhEUFJTovRs3bnD//v1ENl1dXalcufJ7bSbHhQsXuHDhQhKfr7SxYcN6FIrYDw+0YjK8CNHro2RbxtmsWTNu3brF6dOnZbFnLn7++WemTJlCbKwpPqxRSDdjMJUIGT9+PA8ePGDmzJkmsZ9aTCFEunfvztmzZ7l16xalS5cW0Q8LYIyK9O/fn3nz5rFy5UqyZMnCmwrBb+cA5I47/n4hYm0CBKRpmR9//JH58+eTKVMmS7uTJqZNm0a9evUoVapU/LGpU6fSs2dPOnXqFJ+E7OzszKJFiwBYsmQJ48ePjx//008/MWbMGLp168bNmzdxd3fH3d0dZ2fn+DHTp0/nl19+wcfHh9KlS7N06VJCQ0PZtGlTmvxetmzZB2udpJQ9e/Zgb69GrZbFnEXI0Et0lUrInl2Jh4cHjx8/Tre9gIAADh06ZFM9DCpWrMju3bvJnTu3CZdMBgBfxO3n4d1ckbRTs2ZNtm7dSvny5a3mBm5EjuW79vb2/PnnnzRu3JiuXbsSGBhoAk/Nh7Uu0U0t7u7uzJ8/n+LFS1KqlDNabU6S/s6mB+4CBUkqGdsaBUhCtm3bRmhoaJobP1qav//+G61Wm6gQ2HfffcfgwYPJlSsXISEh/PDDD5w4cQKAvXv3cvPmTbp27QpIkY4CBQq8Y3fkyJGMGjUq/vWoUaPo1asXmTNn5tChQ/Tp0yfNUVkPDw9u3bpF/vz5uX//fppsJGTbtm1Uq/Y54eG2OS2ToUWIo6OCGzfO4eVVPt22smfPzr179yhatCi3b9+WwTvzsGTJEl6+fMkPP/xgwqv8DgyK2/8c2PWesSnHycmJM2fOMGvWLGbMmPHhEyxAeoSIu7s7GzZsQK1W07x5c0JDQ03oqXnIKCIEpFB+p04LWbKkSwpG1+HtujjWLkAA8uTJw7lz52jbti3btm2ztDupply5chw6dIg8efLw4sULS7uTYnbs2MH27dtlycvp2rUrU6fOJDLSNnvJZPDpmGhWr05/cTIAHx8fgoODbUqA5MiRg9atWzN79mwTX+lCgn35pmTGjRtHaGio1UzDJEVap2bKly/PyZMnuX79OrVr184QAiSjYTAYWLIkpZGpxBWCbUGAANy9e5eBAwfa7GqZkJAQTp06FR/ZsBXWrl1L8+bydBzfsmULrq6O2FhLnXhs1O2U4ezskMaqiO9ibI1uS/To0YODBw9y6dIlE18poQj5RBaLRYoU4ZtvvqFnz55p7HFjPlIrRFq3bs2BAweYNWsWHTt2tLmidx8XKQ2XvxlnKwLEyMKFC7l69SqDBg368GArZNasWfTp0weFwnaWqgYEBFClSpVU1KdJnkePHnHu3HkcHGzn509IhhUhDg4KHj16xIULFz48+ANoNBoaNGhgUyJEqVTSq1cv5syZY4arXUywL48IGTt2LEuXLjWDgJKHlAgRhULBmDFjmDdvHl9//TW///67BTwVpI7UVQi2NQFi5Oeff2bAgAHvLEW1BTZu3Iirq2uiFSzWzv379wkODqZJkyay2Fu1aiUgf20Tc5BhRYhKpWX9+nWy2Prss8949OgR58+fl8WeOWjQoAH29vYEBASY4WrPeVPCOv0ixMvLi6ZNmzJ69Oh02zIn7xMiarWa5cuX06ZNG6pUqcLWrVst6Kkg5RgrBCf1LTNxhWBbFSAAx48fZ8eOHfzvf/+ztCupJjY2loULF/LNN99Y2pVU4e/vj6+vr2y2nJ3tZbFlbjKsCLGzM7BxozyFs2xxKubbb7+Nzxw3D8aIUy4gc7osTZw4kVmzZtlknkRSQsTOzo7Vq1dTsmRJqlWrxsWLFz9sSGBFbATeXebv6Wkgb96BwEabFiBGhg8fTvfu3SlcuLClXUk18+fPx9fXN9Wl1C2Jn58fDRs2TFU33uQ4f/48jx8/sckpmQwpQtRqUCoVHDp0SBZ7Pj4++Pv7y2LLHLi7u9O4cWP+/vtvM15VnryQevXqUaFChRR1vLRWEgqRffv2sWXLFvLly0fdunVlWSousAQJq6j2BerQqdMITp36H4sWLbJ5AQJw8eJFli9fzpgxYyztSqq5ceMG+/bto3PnzpZ2JcWcOXOGp0+fUqdOHVns+fv7o1Zbd/5cUmRIEWJvr+TEiROyRAG8vLxwcXHhwIEDMnhmHtq0acOhQ4e4c+eOGa+afhGiUCiYOHEiEyZMsKnldkmh1+vp2bMnbm5uVK9enTZt2vD8+XNLuyVIEyqgctz+XeAPYD8TJ47j9OnTdOrUiT59+ti0ADEycuRImjVrRvny7y9r0KdPH27cuEFkZCTHjh2jYsWKyY4tWbIk69at48aNGxgMBvr16/fOmBEjRmAwGBJtqc3nW7p0qWx9WcyFnFMyu3btxGCwvST3DClCDIZo2ebcfX192b59u4mqjZqGDh06WKC0fPqX6bZs2ZJcuXIxa9YseVyyIGq1mpUrV3L37l38/f3x8/Mza/ddgZyUAYy9Pg7HH504cSLFixfnt99+Y8GCBYkqd9oqd+/eZfbs2e/ttt26dWumTp3KqFGj8PLy4vTp0wQGBpIjR44kxzs5OXH9+nWGDBny3uJc586dI1euXPFbjRo1UuX7pk2bKFSoEGXKlEnVeZbEz88PHx8fWWzt378fV1cXbGiREJBBRYhGo5Sty62t5YMUL16c0qVLs379ejNfOX2RELVazbhx4xg5cqTNL1lVqVQsX76c/Pnz06hRI9q1a2e27rsCU1A9wb4kQhLmgAwdOpQZM2awe/duihUrZhkXZWTChAlUrlyZunXrJvm+sa7I4sWLuXDhAt9++y0RERF069YtyfH//vsvP/30E6tXr35vDy+tVsvDhw/jt6dPn6bK7/DwcDZt2iRbSXRzsH//fjJlykS5cuXSbevx48fcunXL5rrqZjgRYqyh/3YjorSQO3duPv30U5uqJNi+fXv8/f0t0PjsHmC8ZupFSLdu3dDpdCxevFhOpyzCjBkzKFWqFA0aNODFixdm674rMBWJRUhSSahjx45lwYIF7NixI9mIgK3w/PlzJk2alGR7Cjs7O7y9vdm1601VZIPBwK5du6hatWq6rlu0aFHu3bvHtWvXWLZsGXnz5k21jWXLltGuXTubqRkSExNDYGCgbFMygYGBNpcXkuFEiL29kuPH5ckHqVevHidPnrSpufz27duzfPlyC13duOqjIKBJ8VmOjo6MGDGC4cOHo9PpTOKZufjmm29o3bo1X3zxBU+ePIk/LoSILWMUIeGMG9cm2STU4cOHc+TIETZs2ICdnZ353ZSRGTNmkCdPnne6vWbPnh21Ws3Dhw8THX/48GG6VqYcP36cLl260KhRI3r37k3BggU5ePAgLi4uqbKzc+dO7O3tqV27dpp9MTfbt2+XrcbJ7t27bC4vJMOJEIMhim3b5MkHqVOnDnv37pXFljmoWrUqmTNntmDkxihClEDKw9I//PADd+7cYcOGDSbxylzUqlWLKVOm0KJFC27duvXO+0KI2CJ5gHwAFCr0hM6d2713FUz37t3RaDRmKhJoOiIjIxk1ahTjx49HpVKZ/Hrbt29n3bp1nD17lh07dtCkSRMyZ85M69atU2VHp9OxatUqm0pQ3bdvH5UrV8bR0THdtqS8EGebygvJcCJEo1HJlg9Sp04d2WyZgw4dOrBmzRpiYmIs5EHq80Ls7e0ZMGAAI0eONIlH5qJAgQKsX7+e/v37v3dpuBAitka1+D0fnywfXIYbGRnJl19+SdOmTfn+++/N4aDJWLhwIRqNJtFUwZMnT9Bqte9UVnV3d+fBgweyXfvly5dcvnyZIkWKpPrcZcuW0apVK1nqb5iD69ev8+jRI6pUqZJuW1JeyG2bygvJUCJErQaDQZ58kPz585MnTx6OHDkig2emR6lU8tVXX7FqlTwN+9JG6kXI119/zfPnz226hb2zszObN29m5cqVKarNIoSILfEmH2TNmv4pWoZ77949mjdvzsSJE22qlPjbaLVaZs+enWhJbWxsLEFBQYl+LoVCQb169Th69Khs13Z2dqZw4cJpanV/8uRJnjx5QoMGDWTzx9Ts27dPtnohUl5Icm0GrI8MJUKkfJDjsuSD1KlTh5MnTxIeHi6DZ6anUqVK2NnZyVagLW2kfpluv379mDlzptU3qUsOhULB0qVLefz4MQMHDkzxeUKI2Aa5cxunA/Tcv5/yFWfHjh2jT58+rFmzxiYrkBr5+++/qVChAmXLlo0/NnXqVHr27EmnTp0oUaIEf/75J87OzixatAiAJUuWMH78+PjxdnZ2lC1blrJly2Jvb0/u3LkpW7Zsov+X33//nVq1apE/f36qVq3Kxo0b0el0rFy5Mk1+b968Wbalr+ZAThEi5YXYTh+ZDCVC5M4HsaWpGF9fX7Zs2WLhxM5rgHEqqCpQm/d9xKpXr07hwoVZunSpGXwzDcOHD6ds2bK0bt061eJXCBHrZtSoKTx4YJx2OMeb1V8pY+nSpSxatAg/Pz+cnJxk988cPH/+nH/++SdRNGTNmjUMGjSI0aNHExISQrly5WjUqBGPHj0CIF++fHh4eMSP9/T0JCQkhJCQEDw9PRk8eDAhISGJooZ58uRh5cqVXLp0iTVr1vD06VOqVKmSKLk7Nfj7++Pj42Mzq2Q+5rwQRWhojG1+BU0CN7dYGjVqKEs04MaNG/Tq1YudO3fK4JnpOXv2LKNGjWLdOnma9qWN5sBqIOHKgDtIDcDe7eOzdu1abt68yeDBg83jnsx4e3tz4MABqlatypkzZ9JsR6lUsmTJEry8vKhbt278zdwWcXV15dWrV7i5ufH69WtLu5NmJk6cSIEC3WnTxthq/S+gd6rtqFRSjlpwcHCSlUJtgU8++YTg4GDy5ctnM20H1Go1jx49omHDhpw8edLS7qSI27dv07lzZ1kWQ9y5cxcnJ3eio63/8Z5hIiFKJTg6ajh16lS6beXPn5/cuXNz+PDhDw+2AgoVKkSxYsUsnFfRHFgHqN86njvuePNER/PkyYOPjw9//PGHedyTGXt7exYvXsyECRPSJUBARESsDWMdkD59ElYdTtu9QKfT0bVrV7p160atWrXkcdDMXLhwgQMHDtCrVy9Lu5JitFotW7dula3+hjnYu3evbFMyJ0+exM7ONkIhGUaE2NkpuHPnriw5HHXq1OHEiRNERETI4Jnp8fHxYd++fRb85qkEZsTtv/3BN37EppPw49a9e3d27NiR5FJWW+DXX38lOjo6yYJOaUEIEesgYSGyZ88S5jWl/QvJ1atX+eWXX1i4cKHNTsv8+eef9OjRA6XSdh4ZcvZlMQdy5oUcOXIYrdY26oXYzifqA9jZKTh+/LgstmwtH8TyXX5rAnlJ/uOkRKq1UFN6pVTSrVs35s+fbx73ZMbb25sBAwbQpUsXWZKgjQghYlmMAqR27c+4ejUvYIxc3AdupMv2zJkzCQ0NlU20mpuAgAAcHBz4/PPPLe1Kitm+fTuffPIJ+fPnt7QrKWLfvn1UqVJFlryQoKAgbKVeXoYRIVptJEePyrOctmrVqjazNDdz5szUqlXLwiLE48NDEoxr2LAhKpVKtiaD5sQ4DTN+/HjOnTsnu30hRCyDUYBUqDCea9d2AXsAY9QiE29PJ6YWg8FA165d6dq1q01V8zSi1WpZtGgRPXv2tLQrKebly5fs37/fZlbJ3Lhxg2fPnn2wg3FKCA4OxsXFNpJTM4wIsbdXylIfxNXVleLFi8tiyxx89tlnXL582cLTGildyy+N69WrF4sWLbLJEu0jRowgOjqaSZMmmewaQoiYl4QC5MGDWUh5TAlxJKm8ptRy7do1hg8fzsKFC3F2dk6XLUuwYMECfHx8bOrzuGXLFho3bmxpN1JMUFAQ3t7e6bbz8uVL7t0LtYm8kAwhQoxJqSEhIem2Va5cOe7du/dObwRrpU6dOuzZs8fCXhxEWgWTXIEcPXAbOEiuXLlo0qQJCxYsMJt3clGuXDn69+8v+zRMUgghYh4STsE8eDAk7ujbt0XjjXx6Eu+ljlmzZnH37l3GjRv3wbF9+vThxo0bREZGcuzYMSpWrJjs2JIlS7Ju3Tpu3LiBwWBIdiVOamy+zfXr1zlw4ABdunRJ8TmWZu/evdSoUcMspeflQC4RAlL3YiFCzISdnYK7d+/Jkpjp7e1tM1EQsJb8FT3SMlzj/tvvAfQH9HTo0IF9+/Zx8+ZNM/kmH7/99hszZ840yTRMUlizEFGpVOTNm5dKlSrx5Zdf0rt3b4YOHcqQIdKDfPDgwQwcOJB27aReK8WLF091MzJTkzAJ9do1D1KT15RWDAYD33zzDb169XpvEbPWrVszdepURo0ahZeXF6dPnyYwMDDZDr1OTk5cv36dIUOGJFtlNLU2k2L+/Pl069YtxeMtzZkzZ9BqtbJMcZgDOUXIkSOH0emsPzk1Q9QJcXFREhi4iVatWqbb1j///MOVK1cYPXq0DJ6ZluzZs/Pw4UPc3d3TXNRHXpojrZJJ2IL7FdAFY52QQ4cOsXjx4hSVN7cm6tWrx9q1aylUqBAvXrww67WtoY5IiRIlqFatGt7e3nh7e/Ppp59ib2/Po0ePuH//Pvfv34/vNt2hQwdWrFiBvb09uXLlwsPDA09PTxwdHbl69SpBQUEEBwdz8uRJDh8+bJFeRwkFiFSKvQ2QkuqcbYH0t0b4+++/cXJyol27dkm+f+zYMU6ePEnfvn0BqTLvnTt3mDVr1genAm/cuMH06dOZMWNGouPpsWnEycmJp0+fUq5cOS5dupSicyzNxo0bOXz4MJMnT7a0Kx8kd+7c3Lp1Czc3t3SvzqxXrx6bNm3m9Wt7mbwzDRkiEqLVRsmWlGpLkZBatWpx/vx5KxEgIAmNAkDCZXH/YRQgOXLkoHLlygQEBJjftXSgUCiYOHEiEyZMMLsAActERNRqNbVr12bKlClcuXKF4OBgOnbsSGRkJDNmzKBcuXI4ODjg6emJt7c3TZs2pWPHjvTp0weAb7/9llatWlGzZk2KFCmCk5MTOXLkoE+fPoSEhFCxYkWWLl3KkydPWLt2LZ06dSJbtmwm/7kgKQECqc1rSi8jR46kWbNmSX5Dt7Ozw9vbm127dsUfMxgM7Nq1i6pVq6bpenLZjIiIYNeuXR/t0ldTc+/ePZ48eZKoTH5asZXk1AwhQuzsFLIIBxcXF5tKSrWOqZi30QP+vOkj4wVoAGjSpAnBwcGydts0By1btiRXrlzMmjXLYj6YS4gULlyYSZMmcffuXVatWoWrqysDBgwgW7Zs1K1bl0GDBrFy5UouX76c6sTiJ0+esHPnTiZOnEirVq3ImzcvNWrU4PTp03z//ffcv3+fTZs20aRJE5PVo0hagEBq8prk4O7du8yePZsJEya881727NlRq9Xv5KU9fPiQXLlypel6cto0lkS3Ffbt20fNmjU/uryQ58+fc//+A6vPC7F5EaJQgIuLU7qrVoKUePjgwQObeUjWqVNHlhK/psEYmbIHpD8oX19f/Pz8LOZRWlCr1YwbN46RI0cSFWXZ+VVTCpHq1avj5+fH+fPnyZ8/P+3bt8fT05NevXoREBBAZGSkbNdKyJkzZxg7diyVKlWiaNGinD59mnnz5nH58mX69u0razv25AUIvMlrSuqGnTivSS4mTJhA5cqVqVu3rmw2zUFAQABVq1Y1W+QqvXzMeSEhISFChJgatVrBy5ev4uej04MtTcVkz56dUqVKceDAAUu7kgwJp8eq4eDgQIMGDWxOhHTv3h2tVsvixYst7QogvxApU6YM/v7+bN26ldOnT1OwYEHatGnD7t27zd7Z+NatW4wYMYICBQowfPhwunXrxuXLl+nSpUu6IyPvFyBGNiI1qnubu0BLkup/lB6eP3/OpEmT3ilg9uTJE7RaLe7u7omOu7u7p/kLkpw2Q0NDCQkJoUmTJmnyxdwYDAYOHDhgM1MycoqQs2fPANZdCsHmRYhKJSViyYEtiZBq1apx4cIFnj59amlXkiGxCKlbty5Pnz7l7NmzFvMotTg5OTFixAiGDx9uVTVN5BAiuXLlYunSpRw/fpzLly9TuHBh/ve//yW7ssKcaLVaVq9ejZeXF0OGDOGXX37hzJkzNGzYME32UiZAAIoAZeL2byMlodYBCiK3ADEyY8YM8uTJw1dffRV/LDY2lqCgIOrVqxd/TKFQUK9ePY4ePZqm68ht08/Pz6byQg4cOEDNmulb2WQugoKCKFmypCyVUy9dumT15dttXoSo1QrZlkyWKVNGlloj5sDb29vKu0NeAp7F7VfDx8f2pmK6dOlCaGgoGzea5gGUHtIjRDp06MD58+dRq9WUKFGCH3/80YqSm99gMBhYuXIln3zyCX/++SerV69mwYIFZMqUKcU2Ui5AAHok2J+JtApmP3JOwbxNZGQk48aNY/jw4YmOT506lZ49e9KpUydKlCjBn3/+ibOzM4sWLQJgyZIljB8/Pn68nZ0dZcuWpWzZstjb25M7d27Kli2baBnwh2ymBn9/fxo2bIi9vXWvvDDy77//yhZdMDV3797lxYsXlCxZMt22Ll++jL39201FrQubFyFabTTnz6dfhCgUCooWLWozy86sP2pjAIzfsHJSpsyXNiVCFAoFP/zwA9OmTbO0K8mSWiHi7u7Opk2b+P333+natSvt2rXj9u3bZvI27cTGxjJ79mxKly6Np6cn586dS1FUJHUCxA7oGrcfAyxJp9cpZ/HixRQoUIAaNWrEH1uzZg2DBg1i9OjRhISEUK5cORo1ahS/PDtfvnx4eLxpl+Dp6UlISAghISF4enoyePBgQkJCEi2F/5DN1BASEsKLFy9sZorj1KlTeHh4vDMdZa1cunSJokWLptvO5cuXcXFxsuoVMjYvQkDL5cuX023F09MTjUbD9evXZfDJ9Hh7exMcHGxpNz7AmymZ//7LzP79+y3oS+po2LAhbm5urFmzxtKuvJeUCpGqVasSEhJCeHg4pUqVsilBaOTu3bs0btyYESNGsGbNGkaPHo0imbtr6gQISMvKjf93mwDzRYYiIiL4+++/36lyOnv2bAoUKIBGo6FKlSqcOHEi/r26devStWvX+Ne3bt1CoVC8s72d9Po+m6nFlqZkwsLCuHLlis1EQy5fvkyxYsXSbefRo0dERERgzQuDbF6EODlpZBEhxYoV4+bNmxYpnJRaPD09yZEjhw1MHb0RIevWhRIbG2tBX1JHv379+PPPP23C5w8JkS5durBz507GjBlD+/btefbsWTKWbIOFCxdSpUoV2rZty4YNG96pxJp6AQKQsDGb+bs7//HHH/j4+JAvXz6zXzut2NpSXTkTPk2NXCIE4ObNW6jV1hsKsWkRolSCg4N9Km40yVOsWDFZxIw58Pb25uLFi+muqGd6TgJSj5V//7WRvtJAwYIFqVu3LvPmzbO0KykmKSGiUCiYPHkykydPxsfHhzlz5ljaTdm4cOEClSpVwtnZmSNHjpA3r1SlN20CJD9gbFF/HdhtAo/fz+3bt9m6dSs9evT48GArYe/evWTJkkWWwlrm4GMVIVL+lxAhJkGtVvDo0WNZ6jfYmgix7nwQI+Go1ecBePEiD+BmWXdSSI8ePfD397eZJoZG3hYiy5cvp1mzZlSqVMmK68mknefPn9O4cWMOHz7MwYMH+euvv9IgQAC68+ZWuAApn8n8GPuy2EpRrZiYGHbu3GkzS3VtSYRcuXJFNhFy7txZdDrrjfDbtAhRqZAlCgJChJiKPHmMiY9KoLIlXUkRarWarl27Mn+++UPycqDX6+nSpQsODg60aNGCFi1a2EyeU1rQ6XT07t2bhw8f0qNHDzp27JiKe4IS+Az4Lu61Fkj9ShG5CAwMRKfT2VTr+aNHj6aqE68lOXXqFHny5LGqRpDJcfXqVTJlyiSLr5cvX8ZgsN5pZZsXIVIxlvRjSyKkXLlyNpCUKuHlFZ3gVTWL+ZFSmjRpQnR0NDt37rS0K2lm1qxZ6HQ6AgICWLVqlU3cdNPDxIkTyZ07N0uXLmXBggV4enqm4KzmwE2kqZesccdigSom8vLD6PV6FixYQM+ePT882EqwpejCq1evuHLlik1UTo2IiODOnTuyREMuX76MRmO9S6ltWoRotdGyCAe1Wk2hQoVsQoQ4OzuTJ08eLly48OHBVkCTJpkTvLJ+EdKyZUtWrlxp9mqhctG/f3+aNWtGvXr1aN26tVmb3lmChDkg3bp1Y+/evWzatAmNRvOes5oD64A8bx3XxB1vnuRZLVu25MKFC0RGRnLmzJl3IhaLFi3CYDAk2rZt25aqn2fZsmU0bNjwnWRbayU4OJh8+fKRPXt2S7uSIi5cuCDbNIepkSsv5Nq1azg6aqx2ma5NixDQERoamm4rBQsWRKvVcufOHRl8Mi1Fixbl2bNnVlwpNTENG36Cvf3juFdVsOaPnEql4osvvrDJ5asADRo0YMyYMXz55ZfcvXvXIt13zUlSSai9e/cmOjo6UX2MxCiBGUg9Yt6+KxtfT+ftz2nVqlVZuXIlCxYsoHz58mzatIlNmzZRqlSpROO2bdtGrly54re2bdum6me6fv06165do0GDBqk6z1K8fPmSq1ev4uXlZWlXUoScCZ+mRi5fX758SXR0NCbqCZlurNStlKFWq2QpM120aFGuXbtmE99+bWnayN3dHU9PD3S6Q3FH3IBBQG2s8aNXrVo1YmNj01U7wVIULVqUVatW8e233yaqpJtRhUhyq2BiYmL46quvqFmzJj///HMSZ9YE8pJ0ozqQPpf54sa9oV+/fmzfvp3Jkydz8eJFfv31V4KDg/n+++8TjYuOjubhw4fx24sXL1L9s9lS/Q2wrSkZWxIhV65coUiRIrLYevr0GSqVdYZCrO9JkAocHR1kESGenp7cvXtXBo9Mjy2JEG9v77iW7wmbC04C9iHNxycd9rYUvr6+bNmyBb3edGW6TYFarWbFihUsWrSI5cuXv/N+RhMiH1qG++jRI7788kt+/fXXJJImPd4ZnzSJx1WtWpVdu3YlOhYYGEjVqlUTHatTpw4PHz7k4sWLzJkzh6xZs5Ja/P39+eKLL9LdtM9cCBFiGu7du5fC/KYP8/DhQxEJkRuFQrr5yjEd4+npaRWNu1JCsWLFuHLliqXdSBHe3t789dcj3pTDTkhu3jf/bgl8fHxscirmp59+wtHRkWHDhiU7JqMIkZTWATl16hRjxoxh8eLFODg4JHgnpX/nicflypXrnSXbDx8+JFeuXPGvt2/fTqdOnahXrx4///wztWvXZtu2bakWE8eOHcNgMLwjcKwVWxIhV65cIV++fB/IGbIO7t+/L5sIuXPnjoiEyI1KBVFRUYSFhaXbloeHhyxixhzYUiSkXDlvFiz4lKTrLhg/etOxho9hsWLFyJ8/v82tiilVqhTDhw+nS5cuREdHv3esrQuR1BYi+/333wkLC2PkyJEJjh5EqQx9T5KeAamD7sFU+7d69Wr8/f05d+4cmzdvpmnTplSqVCnV/VX0ej0BAQE2MyUTHBxMgQIF0hT1MTehoaFERkYmauxnrYSGhiYSuenh1q2bKBTWmW5g+bt/GlEqFbIlZ3p4eNhUJMRWRIhOV42wsMwk/zFLev7dEvj6+rJ7924bqEL7BoVCwcKFC5k+fTr//vtvis6xVSGSlkqoOp2OLl260Ldv3wTLMvUoFP2Tyf8yHuvP251zHzx48E7zM3d3dx48eJDs9W/cuMHjx4/TNK9vSyXRX7x4wbVr12wmGmIrUzL379/HwcFBFnF37949qy1YZrMiRKWCBw/kqWhpK9Mx2bJlI0uWLDYxHZMzZ0602hwpHG252gxGbHEqplWrVnh6ejJmzJhUnWdrQiRtpdglLly4wOzZs5kwYUL8MZ1uLdWrv3hnrKenji+/XAZsfOe9o0ePUq9evUTHPv/8c44ePfrOWCO5c+cmW7Zsabq37Nixg0KFCsmWmGhqbGlKxlZESEREBK9evZJlSub+/fvo9VoZvJIfmxUhSqWCO3fkaUNuK5GQPHny8OzZM8LDwy3tygfx9vZGq03pkueJwCngB8D89QbUarXNlTZXq9WMHTuWkSNHpqltga0IkfQIkIQ2KlWqlKCjrJJz517Ev58z50gGDPDj9OnXHDkyCIAlS5Ywfvz4+DEzZsygUaNGDBw4kOLFizNixAgqVKjAH3/8AUj1e3777TcqV65M/vz5+eyzz9i8eTNXr14lMDAw1T6Hh4dz4sQJqlWz/to6YFsi5M6dO+TOndvSbqSI+/fv4+GR0mTq5AkNDUWtts7HvXV6lQIUCgM3b96UwY4Cd3d3mxAhtiKWALy8vFAqDwN3eDu0/YaEIfFySPUb7gHrAR9AbUoX4ylVqhQxMTGytQAwBz169ECr1bJ48eI027B2ISKHAAGpx8ykSZOYOHEixkqpL18WjH/fzm4EOXOW4IsvGvHo0SMA8uXLl+jmf/ToUdq1a0evXr04ffo0LVu25Msvv+T8eak3kk6n49NPP8XPz4/Lly+zYMECgoKCqFmzZpo7c9vSgz0oKMhmaoXI9WA3B3L5Kk3tWGfVVPPc5U2AVhstSzJp9uzZsbOzs4mHu6enp80k0BYoUIDr168Aa5BWwehJrHmNwmQukgAxTsnYAy3itofAMqR+HudN5qu3tzenTp2yiToxIEVBhg0bxsCBA9HpdOmyZRQiS5YsYe/evdStWzf+QWxJ5BIgRmbOnEnRoj8jCdzEv+d79wwMHVoEacWWxJuoyRvWrVvHunXrkrQfFRVFo0aN0u1nQoKDg/nmm29ktWkqrl69Sr58+VAqlVa/xD00NFS2VSemJjQ0VFYRolDEYm23OZuNhBgMuvcmhaUUT09Pnj9/LksnXlNjS5GQN75uBFoiRTgScjfueG+gKlASqYZIwp/PHfgROAecBPoAWWT31ZYaAgK0aNGC2NhYNmzYIIs9a4uIyC1AACIjoxkwwHi7e/u2Z10rtYwEBQVRrlw5m6gX8uDBA9RqtU2Ub7e1SIgcgunZs2dotVqrrBVihS6lDKVSKkebXmzzwW79JE723QgUAOoAbeP+LUjiBMALwBCkapZNgLVAwiWnFYDZSCJlNdAYkKflua2JkO+++47Zs2fL+o3TWoSIKQSIRE1ev85EaiulWpKLFy8CUKJECQt78mGio6N59uyZTUQYbE2EyOVrRESkVfaPsWERouT169fptpMlSxaePXsmg0emx5ZEyLu1V/TAfmBV3L/JPUB1wDagNeAJfA8kXH7qEPfeVqR6DhOBtN+k1Wo1ZcuWtRkRUrx4cSpVqsSSJUtkt21pIWI6AQJprZRqSfR6PSEhITaTFyLX1IGpuX//PhqNhsyZM1valQ/y7NkzsmSRJ/obERGBUml9KsRmRYharZKlUJmLi4ssYsYc2EpRNZVKRc6cOWUQTM+Qoh8VgTLAFKQ8ESOewM9IUZSjQC8gU6quULJkSWJjY22m9krbtm3x9/c3WQNDSwkR0woQSGulVEtjS8mpthJheP36NWFhYTbjq6urqyy2wsPDRSRETtRqtSziwdXVVRYxYw5spZ5Jzpw5USqVsuTsvOEcUvO7PIAv0lRObIL3qyAlud4HlgOfk5KPt5eXl00lpfr6+rJp0yaTXsPcQsT0AgSkCqgfWqn1Im6cEqnJYhss3WxRiBDTIGdJdFPy+vVrXFxcZLEVFhYmRIic2NvbfXSRkKxZs5rsG7CceHp68uTJE2JjYz88ONVoAX+k1TOeSNUtTyd43xFoB+xAapI3Fki+4FOxYsW4cOGCCfyUnzx58lC6dGm2bdtm8muZS4iYR4CAJD76xe0nJTgVQGZgL3ALqcniSizdbPG///6jaNGiFrl2arGVBzvAkydPbKLMfFhYmGyRkNevXwsRIhfG/0i5IiG2IEIUCoXN+Gq+aaMnSLVFygHl4/afJHg/LzAcuIL0DbcbkPgP2lamuECq6nr48GGeP3/+4cEyYGohYj4BYkRaqeXk9HYO2IsE+7VIuFRXwnLNFu/fv0+OHDlQq62/moKt5ISAvA93UyJnJOTVq1corFCF2LQIkSMSYivTMc7OzoA8wsvUWCaBNgQpKpIbKUrijxQ1MVIDWIA0XbMEqAsobKr2Sr169di+fbtZr2kqIWJ+AWJkI46OJdm7F5yceiCt1MoGfMWbqZq3b9SWW8Jr7Nz7dt8aa8SWpmPkzLUwJXL6+eLFc7FEVy4UCoiJiUl3oSawnekYoxq2BcFk2VU8MUjfeH2R8kcGkbjQmTPQCdgDXGfDhrJcu2bdxZWMeHt7c/LkSbNfV24hYjkBIvH06SMKFLhJ5crXebNS6ynvvx1aZgmvVqvlyZMnNvFwtzURIleEwZSEhYVhZ2eHg4NDum29ePFCTMfIhUIBkZGRstiylUiIq6srkZGRsggvU2M9CbQPkVbUlEZaYTMbSDiVUYC5c93Zu3cBUi5AJySRYn1kzZqVAgUKEBwcbJHryyVELC1AjLyb8Gm9S3htZZrDlkSILU3HALIIppcvX1plNVubFCFKpYLwcHlarttKJMRW8kHAWvMs/kWqOeKBVGdkG1JNEiN1kKZpHiBN21hP0SqQoiDXrl3jxYsXFvMhvULEWgQIJCVCUro6yvzi2lYe7vfv38fe3p5s2bJZ2pUPYivTMVFRUWi1Wll8ff36NXq9KRYLpA+bFCEKhVR4RQ5s5eHu4uJiExEbgGzZslnxKp5opGqsTfDwqMK4cXrgYoL3XZASWA8AV4FfkBJcLUupUqU4e/aspd1IsxCxJgECcObMGUqXLh33Kh8w4QNn6JGK4x00qV9JYSsiJCIigoiICJso3R4WFmYT0zEgX9QmLCwsY0RC7O0VZMmiImdONR4edjg4JJ5kUijAzU1JzpxqcuVSkz27Giendy/j5qbE3V2Nu7uazJlV7yTMODgoyJFDTY4c6iSvER0djRw4OTnJNrVjSmxFLAHY2dmluXOoOcmXT0XXrg+B/7d33vE13W8cf9+RvYiVBLVjzxi1Z1HE3qvU/lG0ttYsRVu1WqVo7VE7qKI1apZGUdQoVSt2SCI3yV2/P05uBImsc8dJvu/X675y7r3nPudJcu85n/t8n1ESaX7NYiDxKIAiwKdIJZr7kEp/3WzspURAQAC3b9+2y7FfJa1CxNEECMCdO3fiL+z5kPKDLFN1zbzeS8Ryf3gSz1kfJZW+6vV6RVTyKCUSAlKTMXd39wzbka6Z6e+H5O6uJlcu6bqeI4cGJ6cX12WNBnLkkHSBp2faZEWaRYhKBXq9mWfPks5N8PbW4OKi5ulTIw8fGnj+3Ii3t/olIeHtrcbVVU14uJHHjw1oNJA9+8tzQHx8NDx7ZuTZMyM+Pq/PCJFL0anVagwGQ8o72hl3d3fZoj/WRqvVWqlHiLzkzJmThw8fxt87AQxEWq7piiQ6LO8xNdAIqQlaGJJYqZ6ERes1uXK0Ja7UChHHEyDS/+j69Wrs358DKReoSPxzl4G+JD9scSupQ973wYMHD8iVK1eGbNgKpYiQ58+fJ1QcOjpGo1GWIYbSNTN9IsTVVYW3t5qoKCOPHhkwGMDX90XwwMdHg05n5skTAy4uqpcESkqk+TeLjTUTFWUiNjbpX8bJSYVOZyIuzozRCDqdGYOBBKdUKklRRUQYiYuTnnv61Iizs/qlfcxmSezo9WbMZl7L6pVThDhiiOpVNBqNIsQSSCJECb46OzsnEVHTITWpaow0dO8TpGUZCz5I7eGPIS3jjEVqmtYGKWJyEGs0uXLEuUEpCRHHEyAv/kcREYvo2BFeNLK7CjQAviflYYupO4Zc74O4uDhFXNhBquZRgq9yXdhtgclkklGEpA8PDzXR0aaE6/mzZ0bMZnBzk/yyBCcMBjCZSFMpsOz/Bb3ejIuLKsEJZ2cVGg3ExUmixclJhUqleknEGI1gMJhxdpaUhtkMOp0pYbkmOtrEq121s5oIUYqfoBwRkrKft4DpQDGkRNVlQOIlseJIuQQ3gc1Iof3EyNfkKnfu3Dx48CDDduTmVSFi+cY+ZcoUBxQgm3i9ERlI3w4/ByyRptQOW0ztMTL2PjAYDDg5OaXrtbZGKb7KdWG3BY4gQpycVK8FHmJjX1yzo6JM+Ppq8PPTJjyXWmT/Lzx7ZsRggDx5nPDz0+Lrq0mIeoCkkMxmcxKiwvySeoqKMnH/voH79w08f/76Hy8rihClzDdRynJM2sTSEaRQvT9SKe+BRM9pkBpcWa/JlbOzMzExMRmyYS0SC5Fdu3YB0KlTJwcSIGqkbrqW7VcxAxOSeU6OY2TsfaCUCztIEQYlRELMZjMazevL/I6I2WyWRYSk9/qhVksdu1+9TCa+ZsfGmrl/38CDBwbCw9PWRkL2d4uHhxpnZxVPnhgwGs04O6vx9tZgNL4QIqklub+ZSvWijXlG0Wg0uLm5OXySkoeHB2q12uH9BBKa6zi6rxb/0u7nNmAbJlMBYmPHYjB0e8O+UpMrN7cmaLVH0ucokghx9L/pkCFDuH79OgADBgzg/v37DuGvwVALne5NFU4Z/x9Z8xjdunWjYcOGDvG3TIkCBQoQHBzM2bNnU97ZjnTv3p26desq4m9apEgRmjdvnuEeQT179sTX15uwMOt9QUzP93nV3btpVAaJ8Pd34skTw0uhFz8/LeHhxpce8/GREljCw404O6vIkUPLvXv6l0RGrlzSsktSUY9XcXVV4ewcq5jEIkHmZd066No15f0GDIC5c8HV1eouCV4htf+jtWuhSxfHPYZAkFGio2N49iztEaCUrusZQVYRolKBn9/rwsTbW41Wq+LJEyMqFeTJo+XpUyMxMdI+Gg3kzu3Eo0cG9PqU3XF1VXHz5kVq166VXtcT+PPPPxk6dCiHD9u+/j8tdOzYkV69etGsWTN7u5Iip06dYsyYMezfv9/erryRNm3aMHjwYBo1apRuG9I34J9Sta9K9QAnp2U4OS1DrU5bfseJEyeYMGEC+/btS4+bVmfKlCl06tSJjh07cuTIETZv3kzp0qVp3rx5ogok+5Da/5GbW7MMRkJSPoaT0xe4uHyapvbZPXv2pHXr1rRt2zZdvtmSixcv0qtXL06ePGlvV95I165d6dKlC8HBwfZ2JUXOnj3LoEGDOHbsWIbsdOvWjenTZxEbm/Y2AzlyaNDrzUREvAgS5M6t5fnz1AUO3kSal2NUKkk0JBjQqjAazZhMUigmNtaEl5cGs9kYvxyjiq+GkRw1myE6WtrHZDJiMpnx8dEQF2dKlQBJjBx9MwwGAzExMQ7fg+P58+eYzWaH9xOkevS4uDiH91Uaba3KoJ97kBJY85J8voEl4To3cXHjiIv7CKlyYh7S4L2UefDgAR4eHg75N505cyYdO3akbt26CQPX+vTpw9dff82OHTuoX7++nZNqU/ofmYDb6HR7SH8fkJSOIaHXj0KvL4tUDv5fqiwbjUZFnKNAyrN69uyZw/saGxuLXq93eD9BSj2IiorKsK8Z6d30/LmJbNk0CRWr7u7q+PEpGc+nTHO2i5OTily5nMiVS0qU8vbWkCuXE15ekjJ5+tSIXm8mWzYNuXJp8fTUEBlpIjr6hbMRESZiY01kz64hRw4tJlPaQzpyZTYrJUvaZDIpJpFKKYl0er1eBj9NwLBE268+Z0Yq413Pi6m+LkAv4E+kBNdWvPxRfL3PhKM2rEquDNda03fTR0r/I8h4I7LUvA8sNEUaqjic1JyCnZycFFFtBsqpjNNoNIooSAD5iicycp2LiZGiIJ6eGnLm1OLkJK1syPEnTLNXcXFmwsL0r90szctMJqlC5sEDA/fuGeIblr3uaUTEi+qX8PC0/zJyihAlXNyjo6Nl6ZpnC5TSK+Dx48cytZjeitTMKrkmV7OQek4UAmYCTxLtUw8p0fUq0kWsK0n1mdizx8PhWnen1AfEsYRISv+j1PYBSe8x2iFNdrZ0vfUA5gDHgXJvtJozZ04ePXokg3/WRymVcUpq/ihXZaR0zUz/GN3oaBMPH0rX9cePjWleuUjWL1ms2BizWaoWkAOdToebm31acacFJc06UEokJCwsDD8/P1SyzLfeSspNrm4D45Bm0QwE/k70XGGkEs7VJNVvZMWKYG7friKDn/KQ2kZkjidECgL1KFduJsuX/0faGpGl7Rivvw92AKWQpjlbvnVVRRquOB1IOmvZERvVJYeTk5MiJn0raRaXXILJUc/JihUhckUFlDJDQCl+AoSHhytikmZYWBharVbGltipbXIVjdT6vTRSaP7nRM8l12/EzOrVVXCEj2xaO6E6lhCR/keNGz/GyysU68yCedP7IBJpmnMt4GL8Y07AeOAs0vLbyyhFhLi6uuLh4cGTJ09S3tnOKGkWl1y+enl5oVY7XtTf/me0dGA2g4eHPCJEKRGGyMhIRfgJypn6GRsbS3h4uB19NSMlNL6L1ADtTai5d88JV9fG1nfrDaS3FbtjCREICgoiNDTUjh4cByoCkwBLwmAg0vLbd0C2hD0DAgIUIUL8/PwwGAx2r4ZKDZ6enooQIc7Ozjg5OckStZFEiOMtkytShJhMZtmWUJQSYYiKikpoWObo3L17VxEiBBxJMKVuHT1//prxW9YblpccGZ0F40hCpFKlSnYWISCJj6lABeBoosf7IS3VtQOUEwnx9/fn3r17iujs7OXlpYjlGMu1SURCHAyzGVxcXGS5ICspEgIowlfHubCnzN27dx2k6iR1F5k7dz4AvsCaw/KSQq5hdI4gRLy9vQkMDHQAEWLhb6TZRP8DIuIf80OaN7OduLjcDjVBOTmUIpZAOcsxXl5eCW0kMoqvr2+yXcjtiWJFCCBLx1SlREKeP38OKEeEOMaFPWUcRzAdRuozkVyOgvSmj472AUZizWF5ryL3NFx7C5F33nmHixcvOljFiRn4FilxNSTR4y0pW1bDnTsteTlXyPaRsJRQyrIRKGc5Rs6Ijbe3jxAhcmH5Q8ohHqKiohQhQkwmE8+fP1eEr45zYU8ZxxFMKfeZcHJKXE1jvWF5iZFbgFiwpxBp2bIl27dvt9nx0sYdpL4xHYB7AERGgsn0NfAbUBJJaN7AlpGw1KC0SIgSlmPkFEs+Pj6YTI6nQhQpQkBqNCXHBVlJCZ9PnjxRRNXJ3bt3yZUrlyL6r1y7do3ixYvb24143tzLQq8flMLrpSFpUmg/41hLgFiwhxDRaDQ0b96cHTt2WP1YGWMTUJLChRNPa66FVEGzGSnylRjrRcJSi7+/vyKWjUBamlBKFY98kRBvEQmRE73eIIt4UEokBJQTYbh//z5qtZo8efLY25UUCQ0NpVKlSvZ2IxFv6jOR2v99xt8j1hYgFmwtRGrWrInRaOT333+36nHk4SmDBoUybNg2pGZ2IJXzqnj91G2dSFhaUFIkRClLR3Lmrnh6egoRIicGgzHLRUKUIkL0ej0PHz50kGWON/PXX3/h4eFBoUKF7O1KIpLrM5Hak2bGTq62EiAWbClE3nvvPTZu3KiYlt1BQUFERu5A6qq6OoW95Y2EpRWlXNjd3d3x9vZWhK9yLsd4eHgIESInJpNZFhHy9OlTsmfPLoNH1kcpIgSUU6YbFxfH+fPnCQoKsrcrqcCSvJrcmcQE3IzfL33YWoBYsIUQ8fb2plOnTixZskR229ZApVIlKiWOAXal8pX2+dwpZTnG39+fuLg4Hj9+bG9XUiR79uw8e/ZMFlvu7u4iJ0ROTCYz3t7eGbajpAu78NU6hIaGKkSEJE5effVkkvFBbPYSIBasLUTef/99zp49y9mzZ2W1ay2KFCmCq6srFy5ciH/ENpGw9ODk5ESuXLkUEV2w9DNRAnIKO3d3NxEJkROVSiNLzkFYWBg5c+aUbRaNNXGcnhYpoyQRcvr0aYWIEICtaDRf8XqLHBNS/5D0zUGxtwCxYC0hotVqGTp0KPPmzZPFni0ICgri3LlziabSplTGnfFIWHrJkycPJpOJBw8e2PzYaSUgIEARERuQb4nLx8cHJycnWabeyo1iRYhW6yzLBfnBgwcYjUb8/Pxk8Mq6KOnC/t9//1G4cGF7u5EqlBMJAWiD0fhhEicTNTCK9FRHOIoAsWANIdK3b19iYmLYvHmzDB7ahtdby7+pjBukhNU1yTxnXQoVKsSdO3cUMbxOSQm0cvkqLUHpRSRETsxmNQULFsywHYt6V8LFXUki5M8//3SwqpPkOXfuHF5eXrK8n6yLGrB8k5enT4ijCRALcgoRd3d3Jk6cyPjx4xVxkbSQ9Hyb5Mq4QXpPfIhUUWVbgoKCOH36tM2Pmx6yoggJCAggJiZWBo/kR7EixGQykz//W7LYUkoS5Z07d8iVKxeurkmP/HYkTp8+TcmSJWWbdmxNYmNj+fPPP6lTp469XUmB2kB+kv/Ypq06wlEFiAW5hMiwYcO4ceMG27Ztk9dBK+Li4kLVqlU5ceJEEs++WsZdH1gb/5wrUsdV20b2lCRC8uXLx507SYk4x0OunBB/f3+MRgdci0HBIsRoRLYlFKVEGO7fv09kZCRFihSxtyspcvv2bR4/fkz58uXt7Uqq2LFjB8HBwfZ2IwXk6xPi6ALEQkaFSP78+Rk7dixjx461kofWoX79+jx69Ijz588ns0fiMu6DwHvAzvjnvICfgRLWdjMB+08lTj3FihXj6tWrKe9oZ1xdXcmePbtsyzHgmM0jFStCTCYzOXPK0z3UcVp3p8yVK1cIDAy0txupQkm5Fjt27KBJkyYOnqAsT3WEUgSIhYwIkaVLl/Ljjz/y22+/WdFD+WnZsmUau7oakFq9H4q/nxPYixQZsy6enp4UL15cMSIkMDCQK1eu2NuNFPH390ev18sy4yggIACt1kUGr+RHsSLEaJTWeuUI9ytlOQaECLEWZ8+eJTw8nHr16tnblTeQ8eoIpQkQC+kRIv369aNEiRKMGDHCBh7KS3BwMCEhISnv+BIxQEvAsiySH9gH5JLTtdeoUKEC9+7dU0TZa65cuciWLZsi3vuWUmKzDNmkhQoVwmx+NY/MMVCsCDGbwWg0yiIelLIcA8oTIUpJTgUpGtKyZUt7u/EGLNURr59MVCpz/OPDSU6kKFWAWEiLEClcuDBffvklffv2JSIiwoZeZpyKFSvi7e3NoUOHUt75NSKApsDl+PuBwB4g4z2VkkNJSzGBgYHcvn07YSq5IyNnAm2+fPkdslEZKFiEAOh0MbKIh7t375I376sDoRwTpYmQUqVKKSKRFiAkJEQBeSE7gKevParV3mfNmliaNIlO8lVKFyAWUiNEvLy8CAkJYdmyZezbt88OXmaMli1bsnv3bvR6fTotPATeQYqaAVREet+4yeHeayhNhChhKQYgb968sokQPz8/HLUwTNEiRK+XJxJy7do1ihYtKoNH1kdJIuTWrVuEh4crJjn14MGDZM+e3cH9bQZYxgwcwjLkTq/Py08/9WX9+vWvvT8yiwCx8CYholKpWL16NXfu3GHUqFF29DL9BAcHyzDl9xaSEHkYf78OsBHQZtDu6wgRYh2KFi0q2+c1R44cIhJiHdSyJJReu3YNNzc3RSSnXr16ldy5c5MtWzZ7u5IqlJQXEhcXx549exx8SaZPou2ZJB5yt2bNGhYvXkxISEjCPKTMJkAsJCdEpk+fTsmSJenUqZOieoJYyJs3L+XLl+enn36SwdplpKUZy3JUc2AFSS3npRcPDw9KlCghRIgVkMtXT09P3NxcRSTEGmi1rrJEMGJjY7lx44YiIgzPnj3j/v37FC9e3N6upAoliRCALVu20KVLF3u7kQx+SJEQkL7p7n1tj/Hjx3Px4kV+/vlnvvrqq0wpQCy8KkQmT55Mv379CA4O5unTp/Z2L1107tyZgwcPEh4eLpPF00jJqjHx97sCC2SyLSWl3r9/XzHNv0qUKKEYEVKsWDFZfC1cuDCxsXEO2S0VFC5CTCYVZcuWk8WWkpY5zp49S8WKFe3tRqpQmgjZunUrefLkoWbNmvZ2JQne40U4fTlJJaCaTCY6d+5Mzpw5+d///keLFi0ypQCxYBEiOp2OTz75hM6dO3P58uWUX+ig9OvXj2XLlsls9RDQEamMF2AwMEUWy0painF3d6d48eKKGGDo7OxMwYIFZREhgYGBREfHpLyjnVC0CDEYzBQrVkwWW0oSIUq6sP/xxx+ULl0aLy8ve7uSKmJiYli1ahX9+vWztyuJUAN1eTE3BOCHZPeeOnUqLi4uHD9+nO+++46cOXNa20G7Mn78eAoWLMiePXuYP3++7NN3bUWdOnXImTMnW7embwjhm9kB9E50fyJSJVXGqFatmmJESPny5Xn8+DG3b9+2tyspUqRIEXQ6nSzdUgMDA1Gp5M8FkgvFixA/vzyyNJgSIsQ63Lp1iytXrtC4cWN7u5JqlixZQocOHRwk76YNcAOpK6YlCTsGqJDk3olzQJo0acL169c5deoUZcuWtYGvtsXV1ZWVK1cyYMAA6tevT3BwsOzTd21Jv379WLlyJbGx1prxsRoYmuj+HKToWvrQaDQ0bdqUn3/+OaOO2QQlRW3kzF0pU6YMGo1jNioDhYsQk0nqFSLHtFaliZAyZcrg4uK4b6zEKKP09QUXLlzg9OnT9O7dO+WdrUobYBPwavm4c/zjL0/MfTUJNS4ujs6dO7N06VKOHj1KmzZpn7DrqAQEBHDo0CGKFi1K5cqV+euvv6wyfddW5M6dm/bt2/Pdd99Z+UgLgMmJ7i8DWqXLUs2aNdHr9Zw8eVIGv6xPVhUhpUuXwWBw0IQQFC5CAJ4/j5FFPFy5coXChQuj1Tpu2MrCjRs3iIyMVMy32x07dtC8eXM0GsecXZAU8+bN44MPPkCtttdHJPHE3Fd9eH1i7puqYKZPn07Pnj1Zvnw5n3/+uWLEa3I0bdqUU6dOceHCBerVq8f9+/cTnlOqEBk4cCCHDh3i0qVLNjjaFGB+/LYG2AA0SLOVli1bsmvXLkwmxxyM9ipZVYQUKlRQiBBrYjarZREht27dwmg0KmCcu4SSlmROnDiB2WymevXq9nYl1Wzbtg2tVmvHCE7qJ+ampgx327ZtVKtWjbp16/Lnn39StWpV67htRby9vVm6dCnr169n4sSJvP/++8TFxb22n9KEiLOzM4MGDWLevHkp7ywbw4FV8dsuwHagSpostGzZMh2t5e2Dm5sbpUqVynIixNfXFy8vL4ctz4VMIEKcnFwpVapUhu2YTCb++ecfUfpqBUwmEzt37lTUkozBYOCbb77hww8/tJMHqWvC17nzR6kuw7106RI1atRgxYoV7N+/n88//xxvb+u185aT1q1bc/78efLly0fZsmVTrCBRkhDp1KkTz549s3FuhRl4H7CICE9gN1AyVa8uXrw4+fPnV0xH2vLly/PkyRNu3bqV8s4OQGBgoCyTfgMDA3n+XOew5bmQCUSIwWCmTBl5liXOnz9PuXLylPxamz/++IPKlSvb241U4/hzWV5n8eLFlCtXjgYN0h6qzjip67vQtm31NPUBMRqNzJo1i6pVq1K5cmWuX7/ORx995LBLNHXq1OHYsWMsWrSIyZMn07Rp01RfSJQgRJycnJg4cSKff/65LIPK0oYB6ISU9AyQA6n3TCGkaqzO8T9fv0wEBwfz66+/Eh2d9JgAR0NJSzG5c+cmd+7cXLhwIcO2AgMDiY1Nb/t/25AJRIhUziQHSoouHD9+nHLlyinmm+zevXspVKiQbCXVtuDp06fMnDmTmTNn2uHoKU3MNRMQYGDcuFrp6gNy8eJFGjRoQLdu3ejevTtXr15l4MCBskylloNatWqxa9cuduzYwa5duyhSpAjff/99mu04uhDp27cver2eFStW2MkDy+RdywU6H1Kn1YPAuvifN3g1CVpJSzEAtWvX5siRI/Z2I1UEBQVx5coVoqKiMmwrMDDQoStjIFOIEDO+vtll6UOhJBFy9+5drl27Rq1ateztSqp4/vw5+/fvV9SSDMCCBQsICAigffv2Nj5y8hNzwYxKBSbTMK5dy9i68Z49ewgKCmL06NH079+f27dv8+WXX9plWdLT05N+/foRGhpKSEgI58+fp3DhwkyfPj1DU08dVYh4eHgwceJExo8fb+cW85FI7d0t/TOcXnk+L4mrsXLkyEH16tXZuXOnzTzMKPXq1ePgwYP2diNVyBm1KVeunEP3CIFMIELMZoiO1lGmTJkM2zp9+jQFCxbE19dXBs+sz8GDB6lfv7693Ug1ISEhiluS0el0TJ48menTp9uhcmo/L7pcviAgwEiePEO4d2+hLEcxm82sX7+eSpUq0apVK/z8/Dhz5gx//PEHkyZNsmp33ty5c9O7d2+2bNnCvXv36N+/P4sXLyZfvnyMGTOGx48fy3IcRxQiw4cP599//2Xbtm32dgV4gnQ5SGpJ6OVqrGbNmnHmzBlZGmnZghIlSuDl5cWpU6fs7UqqkFeElHfoyhjIBCIEIDbWKEsE49mzZ1y7dk0x0ZCDBw9Sr149e7uRanbs2EHNmjUVI/Is/PDDD5jNZt5//30bHzmYF99KN9K5cwg//vgQN7fSsgmQVzl8+DDdu3cnICCAOXPmUKpUKQ4ePMitW7dYtWoVH374IXXq1ElX5FGtVlOqVCl69OjB3LlzOXHiBHfu3KF///6cOnWKatWqUaVKFb777jur5Bo4khDJkSMHo0ePZuzYsXbz4WVqAwEkP9zuRTWW0pZi6tWrx7Fjx5KspHJE5BIhnp6e5M+fD73esUWI6u7dOMf2MBV4eqoJCdlA9+7dMmxrw4YN/Pnnn3bKA0gbAQEB3Lx5kxw5cvDs2TN7u5MqQkND+eqrr1izZo29XUkT7dq1Y/78+RQtWhSdTmejo24FWgMwcOBqPvmkvl2G0Tk5OVG3bl1q1KhBUFAQQUFB+Pv7ExYWRlhYGHfv3iUsLIwnT56g0WgYPXo0X3zxBVqtFn9/fwICAvD39ydfvnyYTCbOnDnD6dOnOXXqFHv37n2pz4ctUKvVrFixgkqVKlG/fn0ePHhg0+MDzJ49m5IlS9KsWbOUd7YJnZFyQN6MRtOD8PCF1KlThzNnzljdKzlYv349f/31F9OnT7e3KymSK1cu7t27R7Zs2YiMjMyQrdq1a7N79x4iIhx7OcaxvUsler2Zt99+WxZboaGhVKmStnp5e5E4L2TXrl32didVbN++nfbt2ytOhGzevJnRo0czbNgwGwlUT6R1evDyimL8ePsIEAC9Xs8vv/zCL7/8kvBYnjx5KFy4MP7+/glCI1u2bLi5uQGQPXt2IiMjOX36NLt27SIsLIzbt29z9epVuze3skREVqxYwYEDB2wuRPLnz8+gQYMcrG9O6qqxqlTJR3h4uGIECEiRkAUL5JscbE2CgoK4evVqhgWIxVZcnBFHv8xnikiIWg25cmnw9PTM8LfUhg0bsmTJEllawduCxYsXExERwahRo+ztSqooVKgQly5d4q233rL5N+CMUqdOHXbs2EG5cuX477//rHy0jkidLOG996I4erSiIqbhenl5ERERgbe3tywnUmtir4jItm3bePbsGe+9l/65LfKjRqqCyUvSq/Qm4DabNp3m4sW/mDhxoi2dSzclSpQgNDSU7NmzK2I55uOPP6ZUqVJ06yZHVP9H3n23LVFRjt3RNlPkhJhMEBsbR/ny5TNs6/Tp0xQqVEgxeQtKS079999/OXToEL169bK3K2nmt99+Y926dSxbtgyVKrm1c7lol7C1b98gRQgQpWGPHJFu3brx9ttv89FHH1n9WGnDUo1l2X4VFdmyTSE4uFmKjeIcifr162fJfBCAatWqOnw+CGQSEQIQE2OQJaE0PDyc69evU6lSJRm8sj6//PIL5cuXx8/Pz96upJolS5bQt29fG1zI5WfUqFEULVqUAQMGWPEobjg5tQZArX7C3bspr9UL0octhYifnx/z589n4MCBslX9yMtWoD1wJ4nn4njvvSLs37/fBlFA+WjWrBl79+61txupRt6k1PxChNgSrdZNtryQ33//3cHWa5Pn4cOHnDx5kubNm9vblVSzfft2fHx8FFXZYyEyMpI+ffrw+eefW23OUPfuq9HrnQEwmTYDDjz4IRNgKyGyePFifv75ZwcpyU2OrUBBoB7QBdgY/7gLcXGDWLJkiZ38Sjvu7u40bNhQMZU8efPmJSAggNOnT2fYVoUKFYiJiUUJswUzjQjR681UqyaPCFFa6avS+m/ExcWxfPly+vfvb29X0sWvv/7KmjVrrLIsM3PmTJ4/b5rokc2y2hckjbWFSPfu3alatSoffPCBrHatgwk4BKxHGnQnLWWsXu3D9u2H7OdWGmnUqBG3bt3i8uXL9nYlVdStW5fQ0FBZcqkqVapEbKwyvrxkKhFSuHAhXF1dM2zr4MGDVK9e3WHnabzKjh07aNSoUUJlghJYsmQJrVu3Jk+ePPZ2JV2MGjWKwoULM3DgQNlszpw5kw4durN9u+Xk8RSpYZnAFlhLiPj7+ycswzx58kQWm7bjLrAcgMhINUajcr44tGzZkh07dtjbjVQjZ1fX6tWro9Uq43qQaUSIyQRxcXpZBtBduXKFp0+fKmbc+cWLFwkLC6Nhw4b2diXVXL16lYMHD1o5t8J6REVF0adPH2bNmkWhQoUybG/mzJl0796dWrUmYzJZGoFtBxx7+FRmwxpCZPHixfz0009s375dBg9tT0DAGtRqS27Bh4DjX9xUKhUtWrRQzFIMyCtCqlV7WxH5IJCJRAhIyak1atSQxZZYkrE+8+bNY9CgQTg7O9vblXSxf/9+fvjhBzZv3pyhwW8WAVKvXj3CwhLnIomlGHsgpxAZNWoUFSpUYOjQoTJ6aFs+/DCY6tUtk4tzAf3s6U6qqFq1Kk5OThw9etTerqSKvHnzUqhQIVn8zZYtGwUKvCVEiD3QaNxo0qRpyjumAqWVvu7YsYMWLVooquJkz549PH36lI4dO9rblXQzcuRIIiIi+OGHH9L1+sQC5J9/bmDpkCoNFVNOVn9mQw4h0qxZMyZOnEirVq0UuAwj4eHhQd++fXn+/JNEj47i9SF3jkXLli356aef7DwYMPXUq1dPtnyQ2rVrExUVrYikVMhkIiQuzkytWjVluRArLS/k8OHDuLm5KabbK0iD0+bPn8+wYcNS3tlB0ev1tG/fnqpVq/Lxxx+n6bUvC5B/kCoSLP1pdgKx8jorSBMZESIlSpRg7dq19OnThz///NOKXlqXHj16cO3aNc6cWYW0PAiQD+hhR69SRonzbeRaimnQoAFms2OLxMRkKhGi15txcnKWLS/kyZMnVKtWTQbPrI/BYGDbtm106tTJ3q6kiZUrV1K0aFFq1qxpb1fSzaNHj2jZsiVjxoyhdevWqXrN6wIEpB4NFsRSjCOQHiGSPXt2QkJCWLBgAT/++KMNvLQOKpWKoUOHMm/evPhHPkv07FhAYwevUqZMmTIULlyY3bt329uVVCOnCGna9F1MJsf83yRFphIhANHRcbItoygtL2T16tV06dIFtVo5/9bnz5+zcOFCJk2aZG9XMsRff/2VMI+kTJkyb9z3dQGiBuojDREDiAaUcwLN7KRFiGg0GjZs2MCFCxcU09o8OTp27IinpycbNmyIf+QkYJkfVIyXRbPj0K1bN7Zt20ZUVJS9XUkV+fLlo2DBgrLlgwQGFiNOQdNYlHO1SiUajRtNm74riy2liZADBw5gNptp0KCBvV1JE1988QWVK1dWVHVPUmzdupUvv/ySkJAQcubMmeQ+rwuQNkgzO/YDPon2bGJ1fwWpJ7VC5Msvv8Tf358ePXpgNivnQvAqTk5OTJs2jUmTJr3S8jxxNGS8rd1KEZVKRdeuXRU1IFPO/iBKyweBTChC4uLM1KxZU5ZowK+//kqNGjXw9PSUwTPrYzKZWLduHd27d7e3K2ni6dOnzJgxgxkzZtjblQwzbdo0/vjjD7Zt2/ZaxUzSAmQT0tCwxLjGP97GJj4LUkdKQmTw4MH06NGDli1bKuZbeHL07duXuLg4Vq5c+cozB4AT8dvlgBa2dSwFateujZubm6JatTdu3Jj9++XpB9SwYUNF5YNAJhQhUl6Ikyx5IdevX+f69es0btxYBs9sw+rVq2nbtq2iGpcBLFiwgICAANq3d8wQb2oxm8289957xMXFERISktA8L+klGMta+6sfQ8v9uUk8J7AnyQmRPn368Nlnn9GiRQv+/fdfO3uZMTw8PJg4cSLjx49PprokcTQkbcnY1qZ79+5s2LABg8Fgb1dShUajoXnz5rI1VWvSpKmi8kEgk57hoqPjZFtGCQkJITg4WBZbtuDMmTPcunVLcT1DYmJimDx5MtOnT0er1drbnQyh0+kIDg7G1dWVzZs388UXXySRhFobyE/yH0E18Fb8fgJH4lUhMmjQIObMmUOLFi04ceJEygYcnOHDh/Pvv/++obnaTuBc/PbbSFVd9sfFxYUOHTqwevVqe7uSaqpXr47RaOT333/PsC0l5oNAJhUhGo0b777bTBZbO3bsoHnz5opK9ly9erXilmQAfvjhB0wmE++//769Xckwz58/p1mzZlSoUIHBgwfTuHHjRAIEwD+VllK7n8CWWITIkydP+Prrr3n//fc5fPiwvd3KMDly5GDUqFGMHTv2DXuZgcRLp46RG9KsWTMePXokywXdVrRs2ZKdO3dikiGJQ4n5IJBJRYiUF1JDFuFw/PhxVCqVbBN6bcHatWtp3LgxuXLlsrcracJoNPLxxx8zadIkxS0nJcX48dLJ+cqVK8yePfuVuUZhqbSS2v0EtqZnz55UqFCBAwcOMGXKFKtN37Ul48aN4+jRo/z2228p7LkRsIjqdwD79yfq3r07a9eutbcbaULO+TZKzAeBTCpC9HozGo1WltkvJpOJXbt2KWp547///uO3336jV69e9nYlzWzZsoVbt24puoEZvMgBqVu3LrVr18bT05Ndu3bh4eERv8dh4BbSxNKkMAE34/cTOBoDBgxg3rx5tGjRgsaNG1tt+q4tyZ8/P4MGDWLcuHGp2NsIzEx0377REH9/f5o3b87y5cvt6kdaCAwMpECBAuzbt08Wey1btlRcPghkUhECEBNjolWrVrLYUlpeCEhDswYMGKCoNu4Wxo4dy5gxY8iePbu9XUkXryahRkZG0rSpNE5g//79+Pv7I4kMi9B6dQ3XIkyGk7xIEdgDlUrFpEmTmDlzJk2bNuXQoUNWm75ra6ZMmcKWLVs4d+5cyjsDsAq4Hb/dGihtFb9Sw/vvv8+BAwcUlRQcHBzMr7/+yvPnzzNsq0iRIuTPn5/YWGXlg0AmFiFmsxMdOsgzk2Tv3r0UKVKEokWLymLPFmzfvh0PDw8aNWpkb1fSzMGDBzlx4kQK69KOSdKdUF/kiPz999/88ccf8e31tyI1fHq1AuF2/ONbbea3IGU8PDzYuHEjPXv2pHbt2hw/fjzhOaULkVKlStG5c2cmTJiQhlfFAV8mup+aCIr8qNVq+vXrx6JFi+xy/PQi51JMcHAwkZExKLE1TaYVIbGxZgoUKCDLmPWoqCgOHDigqGiIXq/n+++/Z9CgQfZ2JV2MGzeOIUOGkC9fPnu7kmqSEyAWYmNj6dWrF19++SUHDhyga9euSELDEu34D6nSoBBCgDgWb731FkePHsXX15eqVaty/vz51/ZRshD57LPPWLJkCTdu3EjjK5cAD+O3OwOFZfUrNbz77rtotVp27txp82OnF19fX2rUqCGbzx07dkKtVmYeXaYVIWYzREXpZBMOSl2SadasGW+99Za9XUkzZ86cYePGjXzzzTf2diVVpCRAEjNnzhzatWvHN998wyefzAWc45/5GziEWIJxLGrVqsWpU6c4cuQIjRs35vHjx8nuq0Qh0qpVK2rXrs20adPS8epopH42IM2SGS2bX6llyJAhLF68WDETc0Gq5Dlz5gx37tzJsK1s2bJRtWoVYmKUed7ItCIEQKVyo1OnzinvmApCQkKoVasWefLkkcWeLbh58ya7du1i4MCB9nYlXXz44YdUqVLF4cuN0yJALOzZs4dq1apRpUrihOe71nFQkG769u3Lzz//zMSJExkyZEiqmmApSYj4+vqyaNEihg4dysOHD1N+QZJ8A0TEb/cCAmTxLTUEBgZSv359vvvuO5sdUw7at2/Ptm3bZLH17rvvEhWlU1xproVMLUJiY01Uq1YVHx+flHdOgTt37nDkyBHFTan9+uuv6devHy4uLvZ2Jc2Eh4czYMAA5s+fH5/M6XikR4BYuHLlCl26jEi4nzu3cr7JZXY8PDz49ttvmTFjBs2aNWPx4sVper1ShMiCBQv4/fffMzhr5RmSEAFwAUa8YV95+d///semTZu4f/++zY6ZUXx9fXn33XdlKydu3749KpVryjs6KJlahBiN0pKMpTIho6xZs8bhv5W/yoEDB7h3757i/LawY8cOdu7cmeaLgC3IiACxEB39QiCPHfsekyZNwslJebX+mYk6depw7tw5SpUqReXKlVPRMyNpHF2ItG7dmqZNm8oUKZ0D6OK3BwA5ZLD5Znx8fOjduzcLFiyw+rHkpEOHDvzxxx+yVPJotVqaNGnCSzMGFUamFiEAKpUr7drJM49k06ZNlC1blsDAQFns2YovvviC0aNHK6rra2KGDRtG5cqV6dGjh71dSUAOASLxIsIzf/5Y2rZty8mTJ2WZfSRIG+7u7syfP59du3Yxd+5c6tWrx3///Zchm44qRHLkyMGiRYv44IMPuHfvngwWHyIlqQJ4AENlsPlm/ve//3HmzBlFdUgFqamaXFN+a9euDajR6xVYFhOPMq9KaSAu7kX2dEZ59uwZu3btolu3bjJ4ZjvWrl2Li4sLbdu2tbcr6cKyLDNv3jwCAmy33pwc8gkQSLx+fuPGMSpXrkxISAjHjx9n4sSJip+joxRq167NuXPnKF++PBUqVGDBggWYZap3dEQhsmDBAo4fPy5zh9EvAX389odAb6Au1rjMuLm5MXz4cD777LOUd3YgChYsSNWqVfnxxx9lsdemTRsMBmVfxpXtfSrQ682o1ep4xZhxVq9erTgRYjAY+OKLLxLaiCsRy7KMvRPQ5BUg8PJsmLvo9XomTZpE7dq1ad++vYiKWBl3d3fmzp3LTz/9xPz586lXrx7Xrl2T/TiOJETatGlD48aNrZCwfgupugvAC/geOAjcANrIeqQ+ffpw+/Zt9uzZI6tda9O1a1f27t3Lo0ePZLHXrl17jEbldUlNTKYXIQB6vZquXeURDj/99BO+vr6KmiUD8P3335M3b16aNGlib1fSzbBhw6hUqRLvvfeeXY4vvwCBlysJXoTFT58+TeXKldm5cycnTpxg4cKF+Pn5yXRMgUajoXfv3ly6dIlKlSpRsWJF5s+fL1v0IykcQYjkyJGDb7/9lg8++MAKyZxtgAa83gE4L7AJuYSIVqtl5MiRzJw5M+WdHYzu3bvLNuW3cuXK5MiRQ5FdUhOTRUSIhk6dOsmS8BcXF8fGjRsVl+ip0+mYO3duKudCOCbh4eH079+fuXPn2nxZxjoCBF6IkIe8CGVLxMXFMXHiRCpWrEiuXLn4559/mDZtmizVXlmZ1q1bc+7cOcaPH8+oUaOoW7euzP/T5LG3EPn66685duwY69atk9myGpgXv/3qqAjLZWYuclxyunbtSmxsLJs3b86wLVtSsWJF8uXLR0hIiCz23nvvPcX2BklMFhEhZlQqNe+++64s9lavXk2nTp0Ut16/cOFCKlasSPXq1e3tSrrZuXMnISEhLFmyJOWdZcJ6AgReLMck3yPk8uXLdOjQgfr161O9enWuXbvGiBEjFFl2bU/q1KnDsWPH+Pbbb/n6668pVaoUGzZssGr0IynsJUTatm3LO++8Y6UuyrWB/CR/SVEDb8Xvl35UKhVjxozh888/x6Swxhjdu3dny5Yt6HS6lHdOAY1GQ7du3TEYlHUNSoosIUIATCZn3n//fVlsHTlyhOjoaNlKf23Fs2fPWLhwoaJzQ0BalilfvjxDhgyx+rGsK0By8KJbaliKe586dYqGDRvStWtXunXrxtWrV+nduzcajbLXhK1NuXLl2LVrFyEhIezatYuiRYvy7bffotfrU36xlbC1EHnrrbdYtGgRQ4YMsVJPjdT28clYv59WrVrh4+PDqlWrMmTH1qjVajp37ixbVUzDhg1xdnYhLk7ZSzGQhURIbKyZZs2a4e3tnWFbZrOZlStX0qdPHxk8sy1z5syhXr16istpSczTp09p3749M2fOpEGDBlY7jnUFCLyalJpa9u7dS1BQEKNGjWL8+PFcu3aNkSNHki1bNtk9VCoqlYp3332Xn3/+mRMnTnDp0iWKFCnC9OnTZZlaKge2EiIeHh6EhITw448/sn79eqscIzUiOm37vY5arebTTz9l1qxZxCmsMUazZs0wmUzs379fFnvvv98HgyFzfPnIMiLEYIDo6FjZylSXLFlCs2bNyJs3ryz2bMWDBw+YM2eOIpO6EnPixAmGDBnCxo0bKVxY/qFZ1hcg8HJSatpOzmazmQ0bNlCiRAk++ugjgoODuX37NgsXLqRs2bLyuqkgfHx8GDJkCH///TfLli3j6NGjFCxYkBEjRrxx5ou9sLYQUalULF++nCdPnjB8+HBZbb/MYaTqmOSWSEzAzfj90kf37t3x8PBwyMaFKTFw4ECWLFkiy3wbd3d3WrVqSVzcq7k3yiTLiBCQZsn069dPFls3b95k7969ioyGfPHFF5QuXVq2HBl7sXz5cpYvX05ISAheXl6y2bWNAIGXRUj65sYYjUa2bNlC3bp1qVWrFi4uLpw4cYITJ07Qp08fPDw85HHVwalVqxYrVqwgLCyMLl268Omnn1KgQAE+/fRTHjx4YG/33og1hciECROoVKkSHTp0SNXcm/RjAoYl2k6MZclgeBLPpQ5nZ2emTp3KhAkTFBcFeeutt3jnnXdYunSpLPZatWpFXJwBq/47bUiWEiE6nYlq1arJVlmxePFi+vbtq7g1+cjISKZPn86MGTNQqZStpkePHs3t27dZs2aNLB1hbSdAIL3LMclx5swZ+vTpg7+/P8uXL2fw4MHcu3ePH3/8kR49epAjh/VbadsKjUZD3bp1+fLLL7l69Srbt28nPDycKlWqULNmTdasWWPXnI+0Yg0h0rZtW0aMGEHLli1tFAXaCrQHXp0MGxv/+NZ0Wx40aBBPnz6VubmabejXrx8//fQTd+/KM6Cyb99+gHJnxbxKlhIhJhNERsbQpUsXWez99NNPmM1SronS+Pbbb8mWLRtdu3a1tysZwmg00rlzZ4oXL57OUeQvsK0AgYwsx7yJiIgIFi1aRKVKlahVqxZ//fUXQ4cO5d69exw6dIiRI0cqbvQAgLe3Nx07dmT16tU8ePCADRs24OPjw4gRI8ibNy/Dhw/nwoUL9nYz3cgpRMqXL8/y5cvp3r27jf8mW4GCQD3gafxjkWREgHh5efHxxx8zbtw4m1cyZRStVkufPn1YtGiRLPZy5cpF3bp1iIlR1t/hTaju3s0E6bVpwM1Nxb171yhZsoQs9j7++GNq166tuEoZgJ49ezJ58mRKlCihuBDnqxQvXpwTJ07wv//9L109EGwvQEBq4NQufvstpDV16xEQEECLFi1o2bIlDRs25ObNm+zcuZPjx48TGhoqy0AtLy8vIiIi8Pb2JjIyMkO2vL29qVSpEpUrV6ZJkybUqVOHy5cvExISQkhICKdOnVLcRSk1qNVqVqxYQaVKlahfv36al5Ny5crFqVOnWLx4MTNmzLCSl6lhL/BO/LYfkL6qnClTplC3bl3q1asnk1+2o2PHjnz22WcUK1ZMlvfqkCFD+PTTGeh0mac8P8uJEJUKcuSASpUqcf78+Qzby5UrFzdv3qR8+fJcuXJFBg9th1qt5syZMyxZskRxkyiTomnTpmzcuJH69evzxx9/pPp19hEgAMcAS88WZ15tVmZN3N3deeedd2jWrBmVK1embNmyREZGcvr0aUJDQwkNDeX06dNpbmGeXhGSLVs2KlWqRFBQEEFBQVSqVIlixYpx8+ZNQkNDOXDgADt27ODGjRtp/E2VSXqFiJOTE7/++it37tyRLeKbfr4ERsRvNwb2pdlC7ty5uXbtGo0aNVLcoDqAw4cPs2XLFubMmSOLvXPn/iJ//hLodJnnsp3lRAiAu7uRtWt/4H//+58s9lauXEl4eDjDhg1LeWcHo3nz5ixfvpzAwEDCw8Pt7U6GGTFiBB9++CGVK1dO1XRQ+wkQkGZqFEDqlmrfoWbOzs6ULVs2QQQEBQVRtmxZoqOjuXHjBmFhYdy9e5ewsLDXtp8+fYrBYECv1+Pm5sazZ8/w9fVFp9Oh1Wpxc3PDz88Pf39/AgIC8Pf3f2k7b968FChQgP/++y9BAFlE0MOHD+36d7En6REi3333HZUqVaJ27dqyNMXKGO8By+O3RwBfpdnC4sWLyZUrlyKHb1aoUIEjR46QL18+nj59Kou9338/yZMnkJkCgFlShDg5qXBziyV37txER0dn2F6VKlX45ZdfyJs3L1FRUTJ4aFt27drFjRs3GDx4sL1dkYUVK1YQGBhI/fr1iYmJSXY/+woQkBL2nIFzQHk7HP/NODs7U6pUKd56663XBITlfu7cuVOVmP306dME0ZKUoLlw4YJDltDam7QIkSFDhvDxxx9TpUoVbt++bUMvk6MSEBq/vRxpqm7qqVKlCgcOHKBMmTKKjIAtXboUg8Eg26DApUuX0r59N6KjlVUIkRJZUoQAeHjEMXz4B/zwww+y2Pv9999ZvXq1Ipc1ihQpwrlz56hduzanT5+2tzsZxsXFhV9//ZWnT5/Spk2bJKsk7C9AcgCWSZo/A8osl9ZoNLi7u6PVatFqtWTPnp3Lly9TtGjRhAhJTEwMsbGx9nZVsaRGiHTp0oXFixfTuHFjTpw4YQcvk8IViAI0wGkgKNWvVKvVnDhxgp07dzJ16lQr+Wc9cubMyc2bN6lWrRp//fVXhu15enry4MFDnj/Xotdnrkt2lqqOSYzZ7MqHH34km70vv/ySESNGKG6eDMC1a9eYPXs233zzjeJLdgFiY2Np3rw5efLkYf369a/9T+wvQEDu8lx7YTQaiYyMJDw8nIcPHxIWJlX5PHjwgMePH/Ps2TMhQDJISlUz7dq147vvvqNt27YOJEAAYoCr8dulkMRI6ujbty++vr58/vnn1nDM6gwdOpTffvtNFgEC0tC+uDhjphMgkIVFiE5nonjx4lSqVEkWe5s3byY2NtYBksHSx4wZM/Dz86N377SFTB2VZ8+e0aRJE4oUKcLKlSsTeog4hgAByJdo24ks/FEUpILkhEiLFi1YsWIFnTt35pdffrGzl0lxLv6nK1AsVa/IkSMHn332GcOGDXvjcqqj4uXlxZAhQ2StTPrww48wmzNPRUxisuyZz2yWhMiwYcNlsWcymfj8888ZO3asIqMJOp2O4cOHM3PmTLJnz25vd2ThyZMnvPPOO5QvX55ly5Y5kABpAyQeZNUDKUm1jV28ESiDV4VIhw4dWLduHT179mTXrl32di8ZEkcCUjdO4LPPPuPYsWMO/Du9mQEDBnDp0iUOHToki73q1atTqFDBTNUbJDFZNicEQKsFHx8z/v7+PHnyJMP2nJ2duX79OoMHD2b79u0yeGh7du3axb///muTCbW2ws/PjwsXLuDi4kLFihW5evVqyi+yGm2Q+oOo4m8WLO2sM9ZZ0t7I2SdEkDRqtZo9e/bQoEEDBg8eLFsjLOvQCtgWv/0pMPGNe1uSUcuWLStL3xpb4+Liwr///suAAQPYsWOHLDY3bdpMo0YtiI5W3pfb1JBlIyEgDbXT6fT07dtXFntxcXHMnj2bcePGyWLPHgwdOpTevXtTrVo1e7siG8OHDyc2NpYHDx7w8ccf27HNvhqYF7/96gnF8lGcSxb/WApSoGnTprz99tscP36cDz74wGrTd+XhXKLtcm/cU6vVsmjRIr744gtFChCA9957j8ePH7Nz505Z7Pn5+dGyZUtiYzOnAAFxtsNkcuHDDz+UZe4ISHX6RYsWteqIeWty7do1pk6dyg8//ICLi/LXIC1LMHXq1KFGjRpUrlyZNWvW2CmBuDaQn+Q/dmqkzqm1beaRQFm0bt2aH3/8kd69e1OnTh2rTd+VjxtIFTKQ0nLM2LFjcXZ2tnOX1/Sj0WgYPXo0M2fOlK2T76BBg3j+PBYZhu86LFlehMTEmPHy8qZFixay2Hv+/Dnz589XdDTkyy+/JCIiQpGlcYl5NQfk3r171KtXj+LFi7Nx40acnZ1t7JF/yrukaT9BVqJTp06sXr2aLl26sGnTJqtO35UPM2DpTF0Y8Exyr7JlyzJu3Dh69eql2BESHTp0QK1Ws379elnsOTk5MWTIEEwm5X8ZfBNZXoQAGAzOfPzxJ7LZW7BgAW+//TaVK1eWzaYtMRqN9O7dm8GDByt2WSa5JNRHjx7RoEED8ubNy7Zt23B3d7ehV6kdUiffMDtB5qBXr14sXbqUdu3avZRroAwhknhJpsxrz2q1WpYvX86cOXMIDQ197XmlMHbsWD7//HOMMoUtunbtirOzK7GxmTttU4gQQKczU758eWrUqCGLvfDwcBYvXqzoaMjff//N1KlTWb58Oa6uyhobnVIVTHh4OI0aNcLV1ZWjR4/y1ltv2cizw0hD6kzJPG8CbsbvJxBISaizZs3iq6++Ijg4mD179ry2j+MLkTdXyIwbNw4nJydFR16bNWtGnjx5ZGt+qVKpmDRpMgaDraO1tkeIEKRy3ZgYFZMnT5HN5uzZs2natKlsfUjswezZs3n27JmiTg6pLcONiIigcePGHDt2jFOnTlGrVi0beGcChiXafvU5gOFJPCfIinh7exMSEkLLli2pVq0aBw8eTHZfxxYiyYuQcuXKMXbsWEUvw6hUKqZOncrs2bNla8zXunVrcufOk6kG1SWHECHxxMRAvXp1KVs2dbXsKREWFsbXX3+t2CQrkJZlevXqxf/+9z/efvtte7uTImntA2IwGBg8eDCTJk3i559/lq1K6s1sRSrDfXW43m2UXp4rkI+iRYty4sQJVCoV1apVS1VZueMKkcQi5EWFjGUZ5quvvlL0uIgOHTqQJ08evv76a9lsTpkyFYPBSTZ7jowQIfGYTBAdbWLixEmy2Zw5cyZVqlRRbKUMwKVLl5g8eTIrV67E0zPppDJHICONyBYtWkTz5s2ZMWMG8+fPt0HlzFakKhjLt6abQCGEABEACWPrd+zYQXBwMBEREal+rWMKkSfAnfjtF1/ypkyZgkaj4dNPP7WLV3Kg1WqZNm0akydPlq27a8OGDSlWrFiWiIJAFm9W9ioaDWTPDiVKlOD69euy2BwzZgxt27ZVbIInSOHGPXv28PDhQ7p162Zvd15Drk6oBQsWJCQkhAcPHtCxY0dZGti9mTNI03P1gDtgsPLxrI9oVpYxhg4dyvTp0xk0aBCrV69Ot520TN+1DbuBpvHbeXnnndJs2bKFqlWr8vfff9vTsQwxcOBAhg4dStmyZWVLSD1y5ChlylRBhgHvikBEQhJhNEJ0tJHx48fLZnP+/PnkzZuXdu3ayWbT1pjNZnr06EGDBg14//337e3OS8jZiv3GjRvUqFGDiIgIfv/9d0qVKiWTl8lxOf6nE1L5oiCr4uzszLJlyxgzZgwNGzbMkAABR4yIvKiQyZ69HqtWrWLo0KGKFiDu7u5MnDiRjz/+WDYBUrVqVapUqYJOJ4s5RSBEyCvExWno0aMn/v7y9GrQ6XRMmTKF6dOn27FTZ8a5f/8+3bt3Z968eZQuXdre7gDWGUYXFRVFu3btWLt2LceOHZOtf0zSXEq0XdyKxxE4Mnny5EloVV6lShVOnjwpi13HEiIv8kLat5/Mvn37ZKsksRfDhw/nv//+Y+tW+ZZRJ0+egk5nRqZeZ4pAiJBXMBggOlrPyJEjZbP5/fffAzhcFCGt/Prrr8yZM4cNGzbYuL/G61hzGJ3ZbGbSpEn07duXtWvXWrHV++VE20KEZEWqVavGqVOnuH79OnXq1OHu3buy2nccIfIiEnLvXh4GDRpkJz/kwdfXl9GjRzN27FjZbJYqVYpGjRoRE5N5W7QnhRAhSWAwODNo0P/Ili2bLPaMRiMff/wxkydPxs3NTRab9mLKlCk8fvyY+fPn280HW03D3bRpE3Xq1KFHjx4cOXKE4sXlFgqJRUgJmW0LHBkXFxdmzZqVIOx79OhhtbH1jiFELmHJedq3L4yoqKg37+7gjB8/nmPHjsk2KRdgwoQJREcbMGWxCn0hQpJArzcTF2dkxIgRstncvHkzt2/f5oMPPpDNpj0wGo107dqVVq1a2SVJ1VYCxMKZM2eoUKECR44cITQ0lJEjR8o2Z0hEQrImVatW5c8//6RevXpUqVKFOXPmWP2Y9hYiOXN6ExgorTHExBQC7DG7SR7y58/PoEGDZG1GWbRoUdq1a0dsrHKX7NOLECHJoNe7MHLkSFk/rGPGjGH8+PHkyZNHNpv24M6dO/To0YNFixZRsWJFmx3X1gLEQkxMDKNGjeKdd96hb9++MkZFonhRuihESGbHxcWFmTNncuDAAVasWEGNGjVsmphpLyGi1WrZuHEjOXNaxhE4o+T3+8yZM9myZQtnz56VzeasWZ8THW3M1IPqkkOIkGTQ683ExpqYPHmybDYPHjzInj17mDVrlmw27cXPP//Mp59+yrZt22xyMrOXAEnM8ePHqVChAseOHZMxKmKJhuQCfDNoS+CoVKlShdOnT9OgQQOqVKnCrFmzZKuoSAv2ECLz5s0jW7ZsnDq1LNGj8jSFtDV169alRYsWjBkzRjablSpVIji4BTExWS8KAkKEvJG4OCf69OlLoUKFZLM5YsQI2rVrR82aNWWzaS8+//xzDh8+zJYtW6w6kdYRBIiFmJgYRo4cSePGjenXrx+HDx8mMDAwAxbFkkxmxtnZmc8++4yDBw+yevVqqlevzsWLF+3qky2FyMCBA2nfvj2tWrVCr0/cFVV5IkSr1fL1118zdepUWROIv/pqDtHR5iyXC2JBiJA3YDCATmeUNXJx+/ZtPv30U7755htFl+xa6Nu3L87OzixcuNAq9h1JgCTm2LFjVKhQgRMnTnD69Gk++uijdEZFRJluZqVy5cqcPn2ad955h6pVqzJjxgy7RD+SwhZCpG7dunz55Ze0bduWmzdv8vI03XLJvcxh+eCDD1CpVMybN082mw0aNKBatWrodFmrIiYxQoSkQEyMhtatW1O+fHnZbM6ZMwcXFxf+97//yWbTXsTExNC6dWuaNWsme9KtowoQCzqdjhEjRtCkSRMGDBjA4cOH0zGwUERCMhs+Pj7MmjWLQ4cOsWbNGt5++20uXLhgb7dew5pCpGDBgmzatIlhw4Zx9OjR+EdvAs/it5UVCfH392fy5MkMGTIEg0G+zsZz584jNlaTpfqCvIoQISkgzZQx89VX8mWw6/V6PvjgA6ZOneoAnQwzzt27d2ndujUzZsygUaNGsth0dAGSmKNHj1KhQgUOHjzIb7/9xvr16ylatGgqXy3KdDMLLi4ujBgxgmvXrhEUFES1atUcKvqRFNYQIp6enoSEhLB27VqWLVv2yrPn438WALwzfCxb8cUXX7Br1643TjJOK+3ataNIkSJER2dhBYIQIalCp1NRs2ZN6tatK5vNX375hX379vH555/LZtOenDx5kkGDBvHjjz9muN25kgSIBZ1Ox8cff0xgYCDPnj3j3LlzLFy4ED8/vxReeROw9GgWkRAlotFo6N27N1evXqVr16506dKFRo0acf78+ZRf7ADIKUQ0Gg1r167lwYMHybQ4SLwk8yFQF0e/DNWpU4eWLVvK2sBSo9Ewe/ZXxMVljUm5b8Kx//sOgtkMMTEq5s2Tt0HXRx99lGmSVAFWrVrF3Llz+fnnn8mXL1+6bChRgCTm7t27DBgwgAoVKpAzZ06uXr3KtGnT8PHxSeYVJsAypr0ISu6fkBVp3bo1586dY/z48YwaNYrKlSuzb98+e7uVZuQSIt999x0FChSgXbt2ySxbJM6DmwwcBG4AbdJ1PGtjSUadMmWKrMmo77//Pjly5Mwyk3LfhBAhqUSng2LFitGmjXwfltu3bzNt2rRMk6QKMHXqVHbu3MmePXvw9U1byanSBUhirly5QseOHalfvz5vv/02165dY8SIEbi4uCSxt2VJxhmQrxJLYD3q1KnDsWPH+Pbbb1mwYAElS5Zkw4YNmBW8uJ9RITJ9+nQaNGhA06ZNefbsWRJ7tAH6JfF4XmATjihEhgwZgkajkTUZ1c3NjRkzZqDXW6+iUEkIEZJKzGbQ652ZN2+erOWoX331Fc7OzrJ2Z7U3Q4YM4e+//2bnzp2pnjGTmQRIYv744w8aNWpEly5d6Nq1K1evXqV3796viE5RIaMUypUrx65duwgJCWHnzp0UKVKERYsWyZqsaE/SK0SGDh1K//79adKkCWFhYUnsoQbmAUmJNMtlaC6OdEkqWLAgU6dOZfDgwbL+f0ePHo2TkysxMcoVrHLiOP9xBRAdbSJbthyMGjVKNpt6vZ7evXszceJESpYsKZtde2IymejWrRuxsbFs2LABrfbNSwyZVYAkZt++fVSuXJlRo0Yxfvx4zp07x3vvvRcfGREVMo5OlSpVWLduHcePH+fvv/+mcOHCfPbZZ0RHR9vbNdlJqxDp1KkT06ZNo1mzZly5ciWZvWoD+Un+kqMG3orfz/6oVCqWLVvGmjVrZE1GLViwIOPGjSMuLqmIaNZEiJA0EhvrzCefTCB//vyy2fz999/55ptvWL58eaZZlomNjaVVq1bky5ePJUuWJLtfVhAgFsxmMxs2bKBUqVLMmTOH0aNHc/PmTfr3r5doLyFCHAWtVkunTp04duwYv/76Kw8ePKBEiRKMHDmSJ0+e2Ns9q5JaIdKwYUOWLVtGhw4dOHXq1Bss+qfyyKndz7oMHDiQwoULy/qFE2Dhwm+JiTGj14soiAUhQtKI1M7dzDfffCOr3YkTJ+Ll5SVrBra9iYiI4N13301oWvQqWUmAJEav17N06VJKly5Nt27daNjwRRKvp2cVO3omAMiRIwdjx47l33//Zfr06WzYsIF8+fIxbNgwbt26ZW/3bEZKQqRKlSps3ryZ/v37s2fPnhSsJbVEk5H9rEfBggWZNWsWffr0kXXa77vvvkv9+vWzbHv25FDdvRsnJFkaUashWzYTwcHBsmbCV61alQMHDlClShW7t3aWkyJFinDo0CFWrlzJ+PHjgawrQJJDo7mH0ZiHnDlN7N17liVLlrBmzRoiIiLs7Vqa8PLyIiIiAm9vbyIjI+3tTqpRqVTUr1+ffv360bp1a44dO8a8efPYuXMnpqzaTzsetVrNihUrqFSpEvXr1+fBgwcEBQWxb98+JkyYkMovZGqkKpi8JP3d1wTcRkrMtt/fW6VS8euvv3Lp0iVZm0m6uLjwzz//4OXlT3R01n4/vYqIhKQDk0nqpLpkyRJZk1RPnjzJggULMtWyDMC1a9do0KABvXr1YsqUKUKAJIHRKInOR4/UfPXVct577z3CwsL44YcfqFGjhp29y7z4+fkxduxYrly5wrp167h16xbly5enYcOGhISEZHkBAq9HRBo2bMjevXuZMmVKGiLCJmAYkFR7csvfeDj2FCAAgwYNolChQowePVpWu6NHj8bb21cIkCQQkZAM4OmpZ+bM6Xz22Wey2XRxceH06dOsWrWKmTNnymbXEShRogR//PEHRqORoKAgIUBe4ltgYPx2deAEZcuWpV+/fvTo0YP79++zfft2QkJCOH78uMNeHJUQCXnrrbcIDg4mODiY+vXrc/DgQZYsWcL27dvR6/X2ds9hUavVhISE0KRJE6ZNm8aUKVPSYeUHoNcrj91EEiBbM+hhxihcuDBnz56lZcuWHDhwQDa7BQoU4PLly0RGakQuSBKISEgGiI11ZsIEeZNUY2Nj6dWrFxMmTKB06dKy2XUEevXqRVRUFHFxcfTs2dPe7jgYr5fp/vXXXwwdOhR/f3/Gjx9P7ty52bZtG/fu3WP58uW0bdsWT09P+7irIFQqFZUrV2bq1Kn8+eef/PPPP7Rt25aff/6ZwMBAmjRpwqZNm4QASYEKFSpQvXp1zp07R8eOHdPZ0EyXaHsCUA9pCca+AkSlUvH999+zcuVKWQUIiGTUlBAiJANISarInqR66tQp5s+fz/Lly1Msb1UKliWYWrVqUbt2bfr27StrBEn5JF+mGxMTw5YtW+jduzd58uShdevW3Lt3j2nTpvHo0SN2797NoEGD0t2lNjPi6upK8+bNWbx4Mbdv32bfvn0ULVqUWbNmkTt3bho2bMjcuXP577//7O2qIqhSpQq//PIL06ZNo0qVKhnorFok0fYi4BD2XoIBqbfRW2+9JfsyTNOmTWnQoIFIRn0DYjkmg6jV4ONjomVLeZNUXVxcOHHiBHv37mXMmDGy2bUHSeWAFCtWjAMHDrBx40Y++ugjRXealIdCwPX47S1Au1S9qmjRogQHB9OyZUtq1qzJ+fPnCQkJ4eeff+bMmTPExMRYy+EksedyTJEiRahbty4tW7bknXfe4d69e4SEhBASEsLhw4czTUMxW1OnTh22b9/OxIkTWbBgAZB0smrq+AdJiEQAyY0ysC3ly5fn6NGjvPvuuxw+fFg2uy4uLly9ehVv7wCRC/IGhAiRATc3FdHRDwkMLMbz589ls1usWDH++OMPOnfuzO7du2Wza0velIRaqFAh9u7dy++//07v3r2zeDhcDTwHXIGLQNqX4rJnz867775LcHAwDRs2JHv27Fy8eJHQ0FBCQ0M5ffo0Z86cQafTpWwsndhChKhUKooWLUpQUFDCrWLFiri5uREaGsqOHTsICQnJVBVm9qJ169asXr2aYcOGvTYRN+1CRIu0HKMF/gQqWcfpNODp6UloaCirVq1i2rRpstr+/PPPGTBgMM+fiyF1b0KIEJnw8NCzbt1qBg4cIKvdbt26MXfuXCpUqMCdO3dktW1tUlMFkzt3bn766ScePXpE+/btZa3LVx7ngLJAHOAOZGwEfP78+V+6UAcFBZEjRw7+/vvvBGESGhrKmTNnZOv8KbcIUalUFCtW7DXB4erqytmzZzl9+nTC73H+/PksLmTlpX///syePZtu3boREhKS5D5pEyKFgWvx2xuBjjJ7nHZWr16Nn58fjRs3ljXZu0qVKhw5cpRnz0AE4N6MECEyodGAj4+Zd99tKnti07JlyyhatCgNGjTAaMzYhclWpKUM19PTk61bt+Lj40OzZs149OiRjbx0NDYC7eO3i/LihC0f+fLle02YWKb93rp1i7CwMO7evUtYWFjCzXI/NRGUtIgQjUZD7ty58ff3T7gFBAS8dL9kyZI4OTlx9uzZl4TThQsXxPKKFZkwYQIffvghwcHBHD169I37pl6IvAPsjd+eCYyT0eO007t3b2bMmEGFChW4d++ebHZdXFy4ePEiOXLkJxN29ZcdIUJkxFrLMu7u7pw6dYpNmzYxadIk2exai/T0AXF2dk44kTVp0oQbN25Y10mH5FPgk/jtz4GfgMNYO3EvICCAcuXKkTdv3tdEQEBAAH5+fjg5OfHs2bOXhElERAQGgwGDwYBer8dgMKDRaBgzZgxffPEFJpMJrVaLVqvFyckJFxcX/Pz8Emznzp0bjUbDo0ePkhQ9YWFhXLlyhYsXLwrBYSPUajULFiygVatWNGnShAsXLqT6dSkLkYFIpeggTdNdKpPXaadkyZKcPHmSNm3a8Msvv8hqWyzDpA0hQmTGw0PP+vVrGDCgv6x2S5cuzYkTJ2jVqhX79++X1bacZKQRmUqlYu7cuXTo0IGmTZty7tw5K3npqMxFauiUmFvxj9mvhFGlUpEjR47XIhWenp4JIsMiNNzc3OjVqxfLli1Dp9MliBSDwUBcXBz3799/SWTcu3ePuLg4u/1ughe4uLiwatUqypYtS5MmTbh582aaXp+yEPkSsEwLbwDIGzFOLW5ubpw8eZLt27fzySefpPyCNFC1alUOHz4ilmHSgBAhMmPNZZk+ffowbdo0ypcvn4ZsdNshVyfUsWPHMm7cOHr06JHsWnTmow2wmdc7SlqiIO2xdy+F1KCEZmWC1/Hz82PLli0ABAcH8/jx43TZebMQ2Qq0jt8ugNSkzPZ89913lCxZknr16sm6vO3i4sLff/+Nr28+sQyTBkSfEJkxGkGnU7NmzVrZG0ktW7aM/fv3s3r1alSqpNof2w85W7HPnDmT3r17s3r16oRZM5kbNTAPSOr7gOUjOhfxcRVYg6CgIE6dOsXVq1epX79+ugUIpDT0ztIjJA5pTozt6dy5M23btqVLly6y59dNnz6dHDnyCAGSRsRZzQrodGY8PLyZM2eO7LYHDhxIgQIFmDp1quy204s1ZsFs2bKFWrVq0b9/f9atW4ebm5ssdh2T2kB+kv84qoG34vcTCOSjU6dOHDx4kLlz5/Lee+8RGxubYZvJC5HC8T//xR4NysqWLct3333He++9x+3b8oqgatWq8cEHQ4mNFXkgaUWIECsRE+NEjx49adCggax2IyMjadWqFUOGDKFTp06y2k4P1hxGd+7cOapUqUJAQACHDx/OxB1B/WXeTyB4MyqVimnTprFo0SI6duzI7NmzZbX/qhDJkaMM4BH/rO1nRuXMmZOQkBBmzZrFrl27ZLXt6urK+vXr0elEHkh6ECLESliWZdauXUf27NlltX3p0iW6du3K0qVLqVTJfg1/bDEN9+HDhzRq1IjQ0FBOnTpF9erVrXIc+xIm834CQfJ4eXmxbds2OnTowNtvv221RoiJhcicOYlzu+QvPX8TTk5ObNq0iZMnTzJ9+nTZ7X/xxRf4+uYWyzDpRIgQK6LTmXF19WLVqtWy2969ezdTpkxh+/bt5MmTR3b7KWELAWJBr9czYMAAPv30U/bt28fgwYOtejzbcxipCia5ELUJKYlPvpbSgqyJpcrO1dWVatWqcfny5ZRflAEsQuTIkcQC2rYiZMGCBXh5edG7d2/ZbQcHB9OvX39iYsQyTHoRIsTK6HRa6tevzwcffCC77S+//JIDBw6wdetWnJ2dZbefHLYUIIlZuHAhTZs2ZezYsWzevJls2bLZ7NjWxcSL0txXhYglWXV4Es8JBKmnb9++nDhxgk2bNtGsWTOePn1qk+OaTCa+++5FWwEfn/QnvqaVQYMG0bp1a1q3bi1bV2AL+fPnZ82atURHq1FID0mHRIgQK2M2Q3S0E1988aVVlk769euHWq1m0aJFsttOCnsJEAtHjhyhQoUKODs78+eff1KtWjWb+2AdtiKV4b7aml8FLEAJ5bkCx8TLy4u1a9cydepUWrVqxaRJk+zQeblwwtaqVZPTMX037dSvX58vvviCtm3bcuvWLVlta7VatmzZismkJSZGdLnICEKE2AC93kxMjIpt27bj5eUlq+3Y2FjatGlDkyZNGD58uKy2X8XeAsTC48ePCQ4OZv78+fz666+MGDHC4UqW08dWoCBQD5ic6PGGvN4/RCBImYoVK3L69Gly5MhBhQoV7Njo0FKea+Lhw5NJlO/KS6FChdi4cSMffPABx44dk93+9OnTKV68JNHRGtltZzWECLER0dHg45OD5ctXyG47LCyM1q1b8+mnn9K4cWPZ7YPjCJDEzJkzh/r16zN48GB27NhBjhw57O2SDJiAQ8AU4Ej8Y2WA5nbzSKBMhgwZwuHDh1m6dClNmza1c4NDiwi5Q79+PZLpIyIPnp6ehISEsGrVKn744QfZ7Tdu3Jhhw4aLPBCZECLEhuh0Wpo2fZe+ffvKbvvUqVMMGDCAH3/8kfLly8tq2xEFiIVTp05RsWJFdDod586do3nzzHSxnplo277DvgTKwd/fnx07djB69GgaN27MrFmzMJvtuWTgDeSM376WQkOzjGGphLl79y4jR46Uza4FPz8/NmzYgE6nFuW4MiFEiA0xmSQhsmDB15QuXVp2+2vXrmXGjBns3r2bQoUKyWLTkQWIhWfPntGhQwfGjx/P6tWrWb58eSZJWv0J+Ct+uwZQy46+CJRAz549uXDhAo8fP6ZcuXJWWYpIO0USbUvnEGsIEZVKxffff0/OnDlp37697HkvarWaTZs2o1K5otOJPBC5ECLExsTFmYmNVRMSEoK7u7vs9mfNmsWGDRvYs2cPuXLlypAtJQiQxKxYsYLSpUuTK1cuzp8/T7NmzeztUgYxA7MS3R9rL0cEDo6/vz8hISHMmDGDnj170qtXL5tVv6RMYhHyojxXbiHy5Zdf8vbbb9OsWTOrzC2aMGEC5ctXRKcTeSByIkSIHYiOhpw5/fj++++tYv+jjz7i1KlT/PTTT+meX6M0AWLh7t27NG/enE8++YQ1a9bw/fff4+PjY2+3MsAG4Eb8dnOgrP1cETgk3bt35/z584SHh1OmTBl27txpb5deoWii7Zd7hMglREaOHEm3bt1o0qSJVXJfGjRowPjx49HptNh1ZSsTIkSIndDpnAgObsmoUaNkt202m+nVqxfh4eFs3rwZJ6e0JVApVYAkZvny5ZQpUwY/Pz8uXLig4FwRA9IIdAtj7OWIwMEICAhg+/btfP755/Tq1Yv33nuP8PBwe7uVBElHQixkVIj07NmTTz75hKZNm3L9+vUM+vo6RYoUYdu27URHizwQayBEiJ0wmaT+IdOmTePdd9+V3b5er6dt27b4+vqyfPnyVJewZgYBYuHOnTs0a9aMCRMmsHLlSrZu3UqBAgXs7VY6+B54GL/dGZAn30egTLRaLSNGjODSpUs8e/aM0qVLs2PHDnu79QbeLEIg/UKkWbNmLFy4kDZt2nDmzJmMu/oKXl5e7NmzF6PRSeSBWAkhQuyIXm/m+XM1GzdupHjx4rLbj4qKolmzZlSpUoWvvvoqxf0zkwBJzA8//EDx4sV59OgRFy5c4JNPPsHFxcXebqUBHTAvflsDjLCjLwJ7Ur9+fc6ePUuvXr1o0aIFPXv2dNDoR2IsIuQx8CzZvdIqRKpVq8b69evp3bs3Bw4ckM/deNRqNZs3byZnTn90OnGptBbiL2tnYmLM6PVO7Nmz1yoVHQ8fPqRx48Z06tSJMWOSD+VnVgFi4dGjR/Tr14+GDRvSunVrzp8/b5UIlPX4BrAk270PWL/jpMBxCAgIYN26dWzbto0lS5ZQsWJFfvvtN3u7lQqcAcv065RnxqRWiJQoUYJdu3Yxbtw4Nm7cKJ+7iZg5cybVq9dEp9Naxb5AQogQB0CnU5EtWy62bduORiN/5vWNGzdo2rQpo0ePZtiwYa89n9kFSGJ+//13qlatyuzZs1m9ejXbtm2jYMGC9nYrFTwFFsdvuwFD7eeKwGY4OTkxcuRILl26hMFgoHjx4sydOxeDYpITCvHiMpO6c0tKQiQwMJD9+/fz9ddf880338jrbjxdunRh6NChREc7iURUKyNEiIOg02kJCqqcqmWT9HDu3DkaN27M5MmTX5pCm5UEiAWTycSiRYsoXrw4Dx8+5MKFC/HjuH3t7VoKzAHi4rcHA/KOABA4DiqVio4dO3LhwgV69uxJixYt6NGjB/fu3bO3a2kk5XyQpEhOiBQpUoT9+/ezfPlyJk+eLK+r8VSuXJnvv/+B5881YjCdDRAixEGwDLrr338AvXr1ssoxQkNDadKkCdOnT2fgwIFZUoAkxrJEU7NmTcqUKcO1a9cYN26cVfq3yMNdwNL2PxswwH6uCKxGo0aNOHXqFLNnz2bWrFkKWnpJivSJEHhdiFSpUoUDBw6wdu1axo8fL6+b8fj5+bF7925iYtTExooQiC1Q3b0bJ/7SDoSzswpPTxP169fj+PHjVjlG9erVOXDgANHR0VStWjVLCpCkqFevHjNnzuStt95iypQpLFu2zAHD3sWAS0jfH8KQwt2xdvUoMV5eXkRERODt7W2VhlGZmaCgIGbOnEmlSpWYMWMGX3/9NTExMfZ2K4PM48XSYW1ezENKPZYE0WbNmvHDDz8wcOBAOR1MwMXFhRMnTlCoUAkxmM6GiEiIgxEXZ0anU/HTTz9RtGjRlF+QDlq1akVERARarZZ33nnHKsdQIgcPHuTtt99m8ODBDB8+nIsXL9KxY0cHm9B7Fdgcv+0P9LSjLwI5KFasGBs2bODQoUOcOnWKIkWK8OWXX2YCAQIZiYRYKFSoEJUqVeLatWvUrl3bKkPvVCoV69atp3DhQCFAbIwQIQ6ITgfgzsGDh8iTJ4+sti1LMDVq1KBx48Z89tlnDBkyRNZjKJ2tW7dSpkwZZs2axezZszl37hzdu3dHq3WULPnErdxHIz7GyqRcuXKsXbuWc+fOER4eTrFixRg/frwDtVvPKGpedPiNAe6n2UKxYsU4ePAgP/74I2XKlLHa9N1vvvmGd95pgk4nJuPaGnH2clB0OhWenr4cPHgQb29vWWy+mgNy4sQJGjduzNSpUxk+fLgsx8gsGI1Gli1bRpEiRZg/fz6TJk3iypUrDBo0CFdXVzt7Fwrsi98uCrSzoy+CtFKzZk127tzJ8ePHefLkCSVKlGDgwIGEhYXZ2zUZaYM0buCt+Puu8ffbpNpC8eLFOXjwIKtXr2bUqFFWm7778ccf8957vYmO1mIyyWJSkAaECHFgoqM1+PsXYPfunzPcXCu5JNRTp07RqFEjJkyYwIQJEzLqcqYjLi6OJUuWUKJECcaNG0f//v25ceMGY8aMkU0cpo+ZibbFYDsl0LRpUw4dOsSuXbs4d+4chQoVYsiQIfz333/2dk1m2gCbgLyvPJ43/vGUhUjFihU5dOgQ33//PePGjUt4XG4h0rdvXyZMmCAqYeyISEx1cFQqcHfXc+DAL7Rt2wZTOqR6aqpgSpcuzc8//0xISAgffPBBuo6TVXj33XcZN24cZcuW5dtvv2XhwoXcvn3bDp6cBKrEbzfmRXTEfojE1JdxdnamQ4cOjBgxgoCAAObOncvChQuJiIiwt2tWQo0U8chL0t9xTcBtpITqpM8xDRs2ZMuWLUydOpXZs2cnfRS1mhUrVlCpUiXq16+frqF1wcHBbNy4iagoNXHiMmg3RCTEwbGU7jZs2IiFC79N8+tTW4Z74cIFatSoQYMGDdiwYYPC2prblt27d1OnTh1atGhByZIl+eeff9i4cSN169a1sSciGuKoBAQEMHXqVG7evMmECRNYunQpBQsWZObMmZlYgIBUAZOf5C8taqQlmtpJPtuxY0e2b9/O4MGDkxUgkPGISM2aNfnxx408fy4EiL0RIkQBWIRIjx49mTRpUqpfl9Y+ILdu3aJWrVrky5eP3bt323m5wfE5evQobdq0oXjx4ly7do3Nmzdz/vx5hgwZgo+Pjw082AZcjt9uAFS1wTEFyaFSqWjUqBEbN27k+vXrlC9fnh49elCyZEkWLlyYSapdUsI/3fsNGTKEpUuX0r59e1avXp2ihfQKESnqu4eYGI3oBeIACBGiEIxGeP5cw9ix4xgwIOUmVeltRPb48WMaNmyITqfj0KFD+Pn5ZcTtLMF///3H2LFjyZcvH59//jldunTh7t27LF26lLffftuKRzYBnye6n/xsIIH18PPzY9SoUVy5coXVq1dz9epVSpYsSatWrdi3bx/mLNX3O7XJtS/vN23aNCZNmkSjRo34+eefU320tAqRt956i4MHD2IwiKm4joLICVEYTk4qvL1NdO3alc2bNye5jxydULVaLUuXLqVOnTo0btxYNDRLI2XLlmXAgAF06dKF8PBw1qxZw5o1a7hy5YrMR3IGrvMiCbAkUjMz+5BVckI8PT1p27Yt3bp1o379+hw6dIjvvvuObdu2odfr7e2eHVEjdfbNDSTVX+flnBCNRsPixYtp1KgRTZo04fLly0m8JhVHTUWOSK5cufj995P4+voTHS2+fzsK4j+hMPR6M1FRatauXUurVq1ee16uVuwGg4FevXqxceNGjh49SlBQUEbcznL89ddfDBkyBH9/f0aMGEGpUqU4e/YsJ0+eZNiwYTL2f4kDEs8bGiWTXcGraLVamjdvzrp167h//z7Dhw9n7969FCxYkHfeeYeNGzdmcQEC4A6YSV6AAAwHTLi5ubFlyxaqVq1KjRo10i1AIOWISM6cOTl69Ci+vn5CgDgYIhKiUFxcVHh4mGjfvh07d+4ErDeM7sMPP2TKlCn07NmTbdu2yWY3q+Hj40O7du3o3r07tWrVYv/+/fz444/s2rWL+/fT3sjpBZ7ATSA7kigpgvRt0/ZktkiIk5MTdevWpU2bNnTs2JHnz5+zdu1a1qxZw4ULF+ztngOyBOgbvx0LJE5wv4kkQLbi7+/P1q1b0ev1BAcHy9agLamIiK+vL8eOHcPPr4DohuqACBGiYFxdVbi7m2jTpjV169a16jC61q1bs3LlSj7//HOmTZsmu/2sRr58+ejSpQutW7ematWq/PHHH+zYsYOQkBDOnz+fDotTAUufl6+AEfI5mwYygwjx9fWlWbNmBAcH07RpUyIiItixYwfr1q3jyJEjWSzHIy20BLbHb0cCFYF8SEmoYcBhwETlypXZtm0bv/zyCwMGDCA2Vt7ZR4mFSJs2bdi6dRt58xYkOtpROh4LEiNEiMJxdVXh4WEmIuIZ1atXt2ruRtmyZQkJCeHkyZP07t2b6Ohoqx0rK5E7d26aN29OcHAwjRs35sGDBwmC5PDhw8TFxaXCSk7gP6RweBRQAHhiTbeTRKkiJDAwkODgYIKDg6lZsybnzp0jJCSEkJAQ/vzzT3u7pwByA3/F/wR4H/jhtb26du3K4sWLmThxInPmzLGaN2q1mnXr1tG0aVPMZichQBwYIUIyAVJExEibNm3YvXu3VY+VM2dONm3ahLe3N61ateLWrVtWPV5Ww9XVlQYNGiRcEC2h5IMHD3Lw4EFOnjz5BlEyH/ggfnsi8KltnE6EUkRIkSJFqFevXsItV65c7N+/n5CQEHbu3Gmn5nNKZjtSJASk0vGXu6Kq1WqmT5/OwIED6dy5M3v27LGqN76+vhw+fJh8+Qrx/LkQII6MECGZBMvSTOIcEWvh5OTE/Pnzadu2LW3btuXo0aNWPV5WpkSJEi9dLL28vF4SJadOnUokSgoA/wBa4BkwDKl7pRQGtwWOKkKKFClC3bp1qV+/foLo+P333xP+jidOnEAnTY4UpJm+SLkgIA2pKws8THjWy8uLtWvXUqxYMVq2bGmFCrGXyZEjB0eOHMHfv4CIgCgAIUIyERYh0rlzJ5skkA4cOJAvv/ySoUOH8v3331v9eILXRYmvry/nz58nNDSU0NBQVq/uS1TUq5VMt5AEyVar++cIIqRQoUIEBQUl3CpVqoSnp6cQHVahCHAGKTkaoAWw68WzRYoQEhLCzZs36dKli9UnBOfKlYsjR46QJ09+IUAUghAhmQwXFxWeniZ69OjBjz/+aPXj1atXj40bN7JmzRpGjhyJwWCw+jEFLyhQoEDCxVane5dp0yrwenmkFAVRqTpiNifdW0YubClCfH19CQwMJDAwkNKlS1OpUqUEwfHXX38lCLPQ0FD++uuvVObWCFKPBvgNqBF/fzEwMOHZRo0asWHDBn744QfGjBmD0coT4vz9/Tl8+DA5c+YVVTAKQoiQTIilfHfUqJEsWLDA6scrVKgQW7ZsISYmhs6dO2fCqaBK4M2Dw1QqM3nzwk8//c21a1e4ckW6/fPPP9y9e5ewsDCioqIy7IWcIkSr1ZInTx78/f0pWLBgguCw3HLkyMHdu3e5cuUKly5d4vTp04SGhnL+/HkhOGzCeGB6/PY/QAXgORqNhkmTJvHhhx8yePBgVq5caXVPAgMDOXjwEO7u2YQAURhChGRSnJxUeHoamTPnK8aPH2/147m4uDB79my6du1Knz592LrV+qF/QWLqAgdT3KtKldFUrx6bcCEvWrQo/v7+uLq6EhkZSVhYWMLNIk6ePXtGZGQkUVFRREZGvrYdGxuLyWTCZDLh6emZIEKeP3+OWq1Gq9Xi6emJl5dXws9Xt3Pnzk1AQAD+/v74+/sTEBBAzpw5AXj48CE3b97k8uXLCeLpypUrXL16VRbhJEgPlYATgBNgBGoBJ8ibNy9r164lR44cdOrUySa9VKpUqcIvv/yCyeSKTpdUkzSBIyNESCZGqwV3dwObNv1Inz59rB4OBWjXrh1Lly5l1apVjBo1SvYeAILk6AysS8V+XYD1rz2aPXv2BAGQWAj4+fnh4+OTpIBwd3dPk4d6vf4lAZNYyDx48CBJAfTgwQOxxOdwuAKnkUYEgFSFNZFmzZqxYsUKtm/fztChQ21Swt+kSRO2bt1GbKxWzIJRKEKEZHLUavDw0HP48G+0bdvGJpM8CxUqxPr169FqtXTq1EnMnbEJqYuEQD3gkCxH1Gg0eHp64uLiglqtRq1W4+3tzd9//02JEiWIiIjAaDRiNBqJiooSgjTTMA8YGr/9B1ptHWbMmEr//v0ZNGgQa9eutYkX3bt3Z9myZTx/riYmRlzGlIoQIVkAlQrc3fVcunSBJk0aWz1DHaQy3hkzZtCvXz8GDhzIunWp+ZYuSD9vzgmRMAMdgU1W88IRqmME1uQdYG/8to6AgGC2bJmOs7MznTp14urVqzbxYuTIkUybNp2oKDVx4hKmaIQIkRkPDzWuriq0WhVmszRwLiLCiGUlRKUCLy81Li5qNBowmSAmxkRkpInE3aD9/Z1esx0ebnhJ8Xt6qnF3V2M0mnn69MUxksPd3cCDB7epV68ed+/elePXTZHmzZuzYsUKtm7dytChQ0VZpFVpwwuBkViIJB4oZgB6kNSSjBwIEZKZyY7UFVWa2Fy+/FIOHmzP6tWrGTlypE0iXSqVitmzZzNw4CCiojS8aaXO3V06P2ri81QNBjNRUSZiY6VzqJubCjc3NU5OKtRqFffu6Xm1I3+uXFq02pfzTCIijDx//qLvjpubCk9PDWYzPHtmRK8Xl9S0IMYJyoyzs4roaBOPHxt48kT6hPj6alHFv481GlCrVUREGHn40MDTp0ZcXNT4+Lye0f30qYH79/UJt8QCxMlJhYuLiidPDOh05iRf/yrR0Vpy585PaOhpihcvLs8vnAK7du2iQoUKBAYGcvbsWWrWrGmT42ZNtgLtgTuvPH4L2B+/rQXWAD1t6Jcgc/AtFgFSpsxdfv21HX369OGDDz6wiQDRarWsXbuW/v0HEhn5ZgECYDSaiYw08uiRgUePDMTFmcmeXYM2vn2ISqUioldQcAAAH75JREFUNlYSJm8iMtL40nk4OvrF/mo1eHpqePrUSFSUMVXnYcHLCBEiM+HhRnQ6MwYDGAySMtZqVTg5SSrEYICnT43ExpoxGiEuTvqguLq+ntVtMr18S4xaLT1mMEjRFlUqk8KjozW4uWXn1KlTNGjQIKO/bqq4ffs29evX59tvv2XPnj189dVXuLm52eTYWY+tQEGk3I8u8T8LAY2Q+jiA9LH/Aehnc+8ESqUL0AmAbNlMjBx5kbJlS7NlyxabHD179uzs33+A5s1bEhWlTTHqCxAba044zxqNJESbLefi6GgTz5+bUoxcvHoeThwtkc7DZgwGc5rOw4IXCBFiZSxvSpMp+Te6SvW6yADw8dGQJ4+WHDk0uLm9/O62hBT9/LT4+mqIjEx9W+7oaBVGoxu7d+9myJAhqX5dRjCZTMyZM4dKlSpRrVo1zpw5Q40aNVJ+oSAdmJCST9fH/zQhLckMREoqBOmj/x0w2B4OChRFPqQoiES5ct/Sq9c7hIWF2eToJUuW5OzZc5QrF8Tz505JnitTg6urCpWKNC+XeHqqyZNHS86cWjw8Xr5kWr5s5smjJVcuLZGR1q9AzGwIEWJlvL01xMWZkg0dqlRSOE+ne/mTFRlpJDzcyOPHUh6Ij48Gd/eX/13h4UYePDBw/74hzclZOp2ZiAg1n3/+Bd9//z1OTq/noFiDK1euULt2bRYvXszevXuZPXu2iIrYlOHA54nufw18ZB9XBApARY4cOwEfANzcNvPbb7b54gJSTtkff/yBl1duoqO1r+VspIRWKwkEPz8tPj4awsONKS7jJCY62sTTp9J5ODrahKenGi+vl8/Dz54ZuX/fwL17BlGlkw6ECLEi3t5qtFoV4eFJq2OVCnx9NRgM5tciGVFRUpjQYIDnz01ERUkfgFdJ77cCsCTNamjfvhNHjhwlV65c6TeWBkwmE1999RWVKlXi7bff5syZM1SvXt0mxxYAjOHlCbuzkbpfCgQvyJYtG126/M7jx+XjH7mFTtfHZscfO3YsW7ZsITbWOd1NyAwGEnJCoqNN+Pi8yAlJDc+fm4iLk87D0dEmIiKMr0VDgDSLI8ELhAixEt7ealxd1Tx5YkhSKFgEiNlMsiIlMXq9GY1G/gVHkwmiopwoXrws5879Rfny5VN+kUxYoiLfffcd+/bt48svv8TDw8Nmx8/aTAQ+SXR/OjDFTr4IHI0WLVqwadMlNm2qlOjR95CmM1sXV1dXfvzxRyZMmMizZ6oMRxeMRkmMREaaMBjMr0WU04KU96FKqLgRZBwhQqyARYA8fmxIMoEqsQB58iR1a4hOTqo35pVklOhoDa6uvhw/foK2bdta7TivYjKZmD17NkFBQVStWpW///6b9u3b2+z4WZvpwKhE9ycCM+3ki8ARKFSoECEhISxevJwOHWLR6y1X26+AA1Y/fkBAACdPnqRJk+ZERmrTtHSSWlQZyB6VWi+YMxSBFryMECEy4+2txs1NzdOnRsxmKXtaneivbBEgKpWKZ8+MCc8n3sfFRYWbmwqtVirpdXdX4+Ghfqk23RrodKDTaVm7dh1Tp07N0Ic1rVy+fJk6deowfvx4FixYwN69e21WRpy1+ZIX3S9BWqqZYydfBPbC1dWVSZMm8ddff3H37l2KFFlFePhb8c+exxbLdVWrVuXcub94661iGUpAteDlpcbZWYpaaLUv7lvy79RqEs6xIAkMrfZFMYGTkwp3d3XCPq6uKry9Neh0ZrH8IiOiWZnMJNVkDKSeHzqdGWdnFTlyJL0o+eCBHqNREiFeXpqED4fRKK1HJq5PtyaWmTO//XaQbt26ER4ebpPjWvD29mbKlCn079+f+fPnM23aNJ4/f25TH7Ie/XlRwgtSNcRgpKqa1COalSmPFi1aMG/ePB4/fsz//vc//vjDBfgN6TtqHFAVOGtVHwYMGMC8efPR6dSyzYDx8dEkiBCpnYHUE8SSxC8lmSbdn0mnM6PVEp9DIlXVGAyg05ms/mUwqyFEiCBJVCpwczOg00XQpk1rTpw4YXMfypUrx9dff03BggX56KOP2LTJeu3GBQC9gGW8CJB+j9RLJPUnXSFClEOhQoWYN28eNWrUYNy4cSxbtgyTyQNJcBSK32sML1dTyYu3tzfLl6+gSZOm6HRa0YI9CyKWYwRJYjZLHVZdXXNw6NAhxowZY9PlGYBz586JJRqbshzojtTaHeB9YAUgsvAyE5all/Pnz3P37l0CAwNZsmQJJpMJmMsLAXIYabnOOgQFBXHhwkUaNGhMZKRGCJAsihAhgjdi6ScyYcIkfvnlV3LmzGlzH1avXk3x4sW5cOECf/75J9988w158uSxuR9Zg3VAZ0Aff787sBap3btAyWg0Gnr37s2VK1do1qwZdevWZeDA//HkSVmk//nHSMITIBKptb91lh6GDRvG0aPH4vt/ZDz/Q6BchAgRpIhebyYyUktQ0Nv8/fff1KlTx+Y+RERE8OGHH1KxYkXy5MnDP//8w6effoq3t7fNfcn8bAbaAZZ5IB2BjYCz3TwSZIxWrVpx7tw5Pv74Y0aPHs3bb7/NH3/kR5q8fBBJfE5L9Iqh8c/JS/bs2fnpp91Mnz6DyEg10dGyH0KgMIQIEaQKy/KMVpuNffv2MXnyZNRq2799Ll++TPv27WnYsCE1a9bk+vXrfPTRR7i4uNjcl8zNDqAVYJl63BppLo2rvRwSpIPatWtz9OhRFi1axNdff03JkiVZv349ZnNrpInLeZN4lRlr9AOpXr06f/99iRo16hIZqRXTZgWAECGCNKLTmXn2TMWIEaP47bfD+Pn52cWPkydP0qBBA7p160b37t25cuUKvXr1soswyrzsAVoAlq+rzYAQwN1uHglSR7ly5di1axc7duzgp59+omjRonz77bfo9Xqk037iGUKvYkbKDZHns6RSqRg7diwHDx7ExcU3Xe3XBZkXccYWpBmDQeqyWqZMJS5fvkynTp3s5suePXsICgpizJgxfPLJJ5w7d45WrVrZzZ/Mx36gKVKOAMA7wE+Ap908EiRPoUKFWLVqFSdOnODSpUsUKVKE6dOnv1LiXhvIT/KnfzXwVvx+Gffn6NFjfPLJRCIi5Cu/FWQehAgRpAtpeUaD0ejODz8sZ8eOHTabPfO6L2bWr19PyZIlWbhwIYsWLeLPP/+kU6dOIjIiC4eBxrwI0ddFipKIfBxHoWTJkqxYsYKLFy9iMBgoUaIEI0aM4PHjx0nsHZhKq/7p9kelUjF48GAuXLhIqVIVxfKLIFnEGVqQIWJipCF4tWs35J9//qFjx45280Wv17Nw4UIKFSrEkiVLmDlzJpcuXaJv3744O4ukyoxxAmgIPIm/XwP4BchuN48EUpfRrVu3Ehoaik6no0yZMvTu3ZubN28msbcW+ABpYGFqCEuXTwULFuTo0aPMmvUF0dFaoqPVYvlFkCxChAgyjMkkJa0aje4sX76C7dtD7BYVAYiJiWHhwoUUK1aMqVOnMnz48IQEVjEgLyOEAvWBh/H3qyAt19i+bDur07BhQ3755Rd++eUX/vnnH4oUKcLAgQO5du1aMq9ojNSEbD7gFf9YcsrABNxEioClHkv04+LFvxOiH6L3hyAlhAgRyIYlKlK3biOuXr1Khw4d7OqPwWBg9erVlC1blv/973906NCBmzdvMnnyZHx9fe3qm3I5B9QD7sXfr4A02Ez0bbE2KpWKNm3acPLkSdavX8+hQ4coUKAAo0aNIiwsuahFUWA70vJZqUSP70cSIa826LDcH57Ec8lTsGBBDh8+kij6oRHRD0GqECJEICuWqIjJ5MGKFSvZtm27XRqcJcZsNhMSEkL16tVp164d1atX57///mPu3LkUK1bMrr4pk4tAHeB2/P0ywCEgHwZDLdatA4OhFuL0Ig/u7u7079+f8+fPM3/+fNasWUOBAgX49NNP3zDXyQuYBVwAWiZ6/DjSLJiGQHvgziuvux3/+NZU+aZSqRg0aBAXL/5NmTJBIvohSDNidozAaqjV4OpqAOIYOnQoq1atwuwgX4+CgoIYPnw47du35+DBgyxYsIDdu3c7jH/KoDDSN+oC8fcNvNxZ9RYwjNRe0AQvU7hwYQYPHsz777/P9evXWbBgAWvWrIkvs00OFdIMoBm8HJ26A4xGakqW+D2uRqqC8UfKATlMaiMgJUuWZNmyZZQrV4GYGCchPgTpQogQgdVxdVXh7Kzn0qWL9OnTh7NnrTuRMy3kzp2b/v37M3DgQGJiYvj2229Zvnx5MlUFgtd5C/gdSKpfjOVilvpv1lkdtVpNs2bNGDhwII0aNWLLli0sWLCA48ePp+LVNZD6f1RO9FgM8AVSVESeSdSenp5MnTqVIUOGEB1tRqdTiaUXQboRIkRgE6SpvGbc3FQsW7aUcePG8eyZ/F0Z04tWq6VNmzYMHDiQGjVqsGXLFhYtWsThw2lLzst6qJEiHv5I38JfxYQU4i+EteaQZAYCAgLo06cPffv2RaVSsXTpUr777jvu3buX8ovJhyQyur7y+CZgFHK2X+/UqRNff/01zs7uxMY6YTCk/BqB4E0IESKwKRoNuLjoMZv1DB8+jJUrVzrcEkjx4sXp378/vXr14t69eyxfvpx169Zx+/btlF+c5aiLNHskJRoiLd0ILLi4uNC8eXN69OhBs2bN2LdvH4sXL+ann37CaDSmwoIrksgYy8tdbM8iJZYelM3XUqVKsWTJEipUqERsrJaYGMf6zAqUixAhArtgWaK5fPlv+vTpw5kzZ+zt0mu4urrSrl07evToQYMGDThy5AirV69m8+bNDhXFsS+dkfIMUiIcWAasAM5b1SNHRqVSUadOHbp160aHDh149OgRa9as4YcffuC///5Lg6X2wJe8yMcBeAR8AiwFUiNiUsbT05NPP/2UwYMHi6UXgVUQIkRgNyxLNO7uKpYt+55x48by9OlTe7uVJHny5KFz585069aNsmXLsnPnTlavXs3u3buJi4uzt3t2JLWRkMT8CaxEEi/35XbIISlTpgzdunWja9euuLm5sX79etasWcPvv/+eRksVkPI+Ek+yNgBfA1OAp7L4C2LpRWAbhAgR2B3LEo1KZWDSpEksXLjQoS/sxYsXp1u3bnTr1o1s2bKxceNG1qxZw9GjRzGZslregxop5yAvSZfkmpCSI7XAq11rDUj9K1YiDcaLsZqX9iB//vx06tSJ7t27U6xYMbZt28bq1avZt28fhjRf0XMC04G+vPx33gN8CPwtk9dQs2ZN5s6dR6lSpcXSi8DqCBEicBhcXFQ4OcURFRXBmDGjWbNmjcNf1KtXr063bt3o1KkTZrOZnTt3EhISwr59+14ZGpaZaYOUBAkvXyATV8ccAjoBPYG3k7DxDPgRSZAcsY6bNqBSpUq0bNmSli1bUqZMGQ4cOMCqVavYtm0bUVFR6bDoBAwGJgHZEj1+FUl87Mq40/GULl2ar76aQ716ddHpVOh0iKUXgdURIkTgcLi5qdBq4wgLu8tHH33Izp077e1Simg0GqpXr05wcDAtW7akYMGC7N+/nx07drBjxw7u3Hm1KVRmow3SMkH+RI/dREqQfLU8NxDoEX8rwOtcRxIjq+K3HRdXV1caNGhAcHAwwcHBeHp6snv3bnbs2MHu3bvf0EwsNTQF5gAlEj0WAUxFar/+pn4hqeett95i5syZtG/fnuhoEzExahxc+wsyEUKECBwWd3cVzs4GLly4wLBhQzl27Ji9XUo1xYoVSxAkNWvW5Ny5c4SEhLBjxw7+/PNPh6sIkgc1bm5NWLbsJ/r0aYZOt4c3l+WqkHIbegIdeDHTJDFHkATJj7yY4mtf8uTJQ7NmzQgODqZx48Y8ePAg4X/722+/pdBMLDHJNQoLBL4Cmifa1wR8D3wMPJDl98iRIweTJk1iwICBREcbiIvTkqqiHIFARoQIETg0UvKqlMB64MBBRoz4iAsXLtjbrTTh6+vLu+++S3BwME2bNsVoNPLbb79x8OBBDh48yLlz5zKNKPHy8iIiIgJvb28iIyPT8Ep3oDWSIGkEaF55PgZpBspKYC9SPoltyJMnD3Xr1qVevXrUq1ePwMBATp06RUhICCEhIel8PyYVOboD/AE0Q1qGsXAEqfPs6fT+Ci/h4eHBiBEjGDt2LHFxZuLiRNKpwH4IESJQBGo1uLiY8PBQs3nzZqZMmcKlS5fs7Vaa0Wg0VKxYkfr161OvXj1q166NXq/n0KFDCaLkr7/+UqwoSb8ISUwAUuOt95Dm0rzKfWAtkiA5k85jJE9SouPs2bMJ/5/Dhw9nsIoruRwaMy83fLuF1AdkQwaO9QIPDw/69evHxImTUKud0Otd0OuV+T4TZB6ECBEoCqmSxoi7u5Y9e35m8uTJhIaG2tutdKPRaKhUqVLCBc8iSn777Td+//13QkNDCQ0N5cmTJ/Z2NVXII0ISUxEpOtIVyJ3E838h9R5Zi7SkkRTJz0dxcnKibNmyVKpUicqVK1O7dm1KlCjxmujIWG7Hq778hyS0khvwZwI+ReqCqsvwEbNnz86wYcP46KOPMJvVGAwuxMaK077AMRAiRKBIpOF4Uhv433//nUmTJnLgwAF7u5VhEouSypUrExQURJEiRbhx40aCILHcHHG+jfwixIIWaIIkSFoBLq88bwT2IUVHtvHi4v36soeHxxO6d/+Dfv1yULZsWaKjozl9+jShoaEcOXIkHaLDCciFJJJSuvkl4XtS1EOqKEo/AQEBjBo1ioEDBxIba8RgcBFD5gQOhxAhAkVjyRlxcTFx+fJlJk6cwI4dOxS7nJEU2bJlo1KlSgQFBSX8LFasGDdv3iQ0NJS//vqLK1euJNzs2c3VeiIkMdmAjkiCpGYSz0fg7b0PPz8dV650i38s8TKH9N6oXn02Dx4s4tq1a6+8XgVkJ3WiInf8vnLTBVifrlcWKVKEjz/+mG7duhMdrcdgcBbLLgKHRYgQQaZAEiMqnJz0hIWFMXnyJNavX5+OplDKwMfHh4oVKxIUFETJkiUJDAwkMDCQPHny8ODBg5dEieV2/fp1dLqMh/ffhG1EiDRtNm/evOTNWxe9vjP//luLJ098ktjz1TwLCyakctflvB7FyIUUeZETI1Jb9edA4VTsX4+0RkLKly/PxImTCA4O5vlzPXq9ViScChweIUIEmQ5Ln5GoqAhmz57NsmXLZFzTd2x8fHwoVqxYgihJfPPy8uLZs2eEhYVx9+5dwsLCEm6J79+7d4/IyMh0RZMyKkJcXFzIlSsX/v7+BAQE4O/vn3BLfD93bik/5N9//+XKlStcunSF334zcupUScLCamM2J1XuKzfPkMplU3N7giR8UtNhNvVTh1UqFU2bNmX06NHUrFmT6GgTsbFqUWorUAxChAgyLa6uKlSqGNzcnFm3bi1z5szh3Llz9nbLbuTMmfOli/qrF3bLtqurKwBRUVFERkYSGRmZsP3qYzExMZhMpoSbk5MT48ePZ8aMGej1ejQaDWq1Gq1Wi6enJ56ennh5eSX8TLzt6emJk5MTJpOJBw8eJCmQEt+/d+9eMj05XJGSOoem8S8US+pFxcP4/dNDajrMvtrg7WV8fHzo3bs3I0aMxNfXF71eS0wMosmYQHEIESLI9Gi14OxsxN1dw59/nmHOnK/YsmWLQ8+nsSc+Pj5JCoRXH/Py8sLZ2Rm1Wp1wc3FxoWfPnqxYsYLY2NgEcWIwGIiKinpNzCT188mTJ6kcZf8mUjtYbwjS/JUHSMsztiItHWZfUKFCBT744AO6detGTIwBk8lFzHYRKBohQgRZBpUK3N3VqFQxmExGliz5jm+//Zbr1x27NbiSsFVOSMrIu+xhHZIvHU6Mm5sbnTp14sMPP6JEiRLodEbi4jQi30OQKRAiRJAlcXZWodHE4enpzLFjx1mwYD47d+4kJiZzTXK1NY4jQkCOZQ97UrFiRfr27ct7772H0Qhmsys6nUkMlRNkKoQIEWRp1GopkVWlikWjUbF582Z++OEHDh065PATfB0RxxIhkN5lD3tRsGBBunXrRp8+fcmbNy86nRG9XitKbAWZFiFCBIJ4nJxUODmZcHY28fz5c1auXMHKlSs5e/asvV1TDI4nQiC1yx72wtfXlw4dOtCvX3/Kly9PVFQMZrPU1VREPQSZHSFCBIIkcHFRoVbrcXfXcuvWLZYtW8qaNWu4efOmvV1zaBxThDgerq6utGjRgr59+9KwYUOiomJQqdyIiTGJChdBlkKIEIHgDahUkiBRqWLx8nLl9Ok/WbVqJTt27ODGjRv2ds/hECIkedzd3XnnnXfo0KEjbdq0wWg0YTZL1S2ir4cgqyJEiECQSqR5NWrMZh1eXm78++8NNm78ke3bt3Py5MlM1So+vQgR8jIBAQG0aNGCjh07UadObWJi4jCbnYmLU4k8D4EAIUIEgnTxIkKix9VVjU4XTUhICFu2bOGXX34hOjra3i7aBSFCpF4erVq1omPHThQvXpzIyGjUammpRUQ8BIKXESJEIJABZ2cVTk5mVKo4XFyc+O23w2zc+CP79u3j33//tbd7NiMrihAvLy9q1apFq1ataNu2LT4+PkRHGwBnYmJEcqlA8CaECBEIZEarBRcXNSaTtGzz+PET9u//lb1793Lw4MFMLUqyggjx9PSkVq1aNGjQgKZN36VUqZJER8dgMjlhMKiJE6dUgSDVCBEiEFgRlcpS+gtGow5vb3cePXr8kijJTAmumVGEJC86tJjNGmJjzaKiRSBIJ0KECAQ2JDlRcuDAfo4cOUJoaChnz55Fp9PZ29V0oXQRolKpKFKkCEFBQVSpUoV33mlM6dKl4kWHBrNZK0SHQCAjQoQIBHbEIkqcnVXo9dG4ujrh4uLEjRv/ceLECU6cOE5oaChnzpxRhDBRkghRqVQULVo0QXDUrFmLsmXL4OzsTGSkDrXaWUQ6BAIrI0SIQOBgqNWWaIkKg0GHi4sGV1cXbtz4j99/P8Hx48e5ePEiV65c4fbt2w5VGuyoIsTHx4fAwECKFy9OUFAQNWrUpEyZMjg7O8ULDhfMZjV6vVkMhhMIbIgQIQKBAnhVmGg04OnpjsFg4Nat21y6dIm//jrH5cuXuXLlCleuXOHRo0c299OeIsTV1ZUiRYoQGBhIYGAgpUuXpkyZshQuXCi+YkVHbKwBjcYFk0kIDoHAERAiRCBQMBoNaLUqtFoVZrMBozEWFxctHh7uREU958aNG1y/fp0bN/7l7t273L17l7CwsITbkydPZPXHWiLE1dUVf39/AgIC8Pf3T7gVKFCAggULUaRIYXLlyoXBYCQ6OgazWYNW64LRKAkNg0GUygoEjogQIQJBJkSleiFQNBoVarUZvT4Ws9mIVqvG1dUZZ2dn9Ho9T5484f79B9y5c4c7d+7w9Gk4kZGRREZGEhUVlex2VFQUBoMBk8mUcPPw8ODZs2dky5aN58+fo9FoUKvVqNVq3Nzc8PLywtPT86Wfr257e3uTO3du8ufPj79/ADlz5sDDwwOj0YhOF4teb8BsVqHVuqBSaTAapbbnBoPI3RAIlIYQIQJBFkWlkpZ5JJHy4qfZbMZoNGA2GzGbTYAZtVqFRqNGo1Hj5OSEk5M2Xcc0mUzExekxGAwYjSZMJkuEQh0vVrSo1RrMZjAaJVFh+SkEhkCQ+UjfmUQgECge6UIvXeTjH0n0rCb+luQrAT0q1YtHEm8ndZzEP0ENOL/BM6E2BIKsghAhAoEgXSTOsRD5FgKBID2o7e2AQCAQCASCrIkQIQKBQCAQCOyCECECgUAgEAjsghAhAoFAIBAI7IIQIQKBQCAQCOyCECECgUAgEAjsghAhAoFAIBAI7IIQIQKBQCAQCOyCECECgUAgEAjsghAhAoFAIBAI7IIQIQKBQCAQCOyCECECgUAgEAjsghhgJxAIXsPDQ42rqwqtVoXZDHq9mYgII0aj9LxGA7lzOyX52vBwAzEx0kQ7tRp8fDS4uKgwmUCnMxEZ+fKUXE9PNe7uaoxGM0+fvjiGQCDI/AgRIhAIXsPZWUV0tAm9XhITXl4afH21PHpkwGwGoxHu39e/9Bp3dzUeHmpiY1+M1PX11WIymXn0yIBGo8LHRwOQIEScnFS4uKh48sSAs7MaHx8NT54IFSIQZBXEcoxAIHiN8HAjOp0ZgwEMBnj2zIhWq8LJSZWwj8n08s3VVU1MjBlzvAZxcVGh1cLTp0YMBoiNNRMVZcLd/cVpR62WXmswSNEWlepVTwQCQWZGiBCBQJAiFnFgMpmTfF6rlaIa0dEvllqcnFQYDJLIsBAba0KtlsSJdF+y5+enxddX89pSjUAgyNyI5RiBQJAi3t4a4uJMGAxJP+/urkavNycs3wBoNKrXRMuLnBIVBoP0XHi4MSEiIhAIshYiEiIQCN6It7carVZFeHjyuRpubmp0uvSrCCFABIKsiRAhAoEgWby91bi6qnnyxJCsUHBzU6FS8ZoIMRrNqNUvJ3loNC+eEwgEAiFCBAJBklgEyOPHhjeWzbq5SQmpr4oUvd6MVisln1pwdpaWaJJb1hEIBFkLIUIEAsFreHurcXNT8/SpEbNZEhLqJM4WGo0kLJJaiomNlcRGtmwatFppPy8vzUvJqwKBIGsjElMFAsFreHhI6yY5crx8inj61IBO92Ipxd1djcnES71BEhMebsDbW0POnNpkm5UJBIKsi+ru3TixOCsQCAQCgcDmiOUYgUAgEAgEdkGIEIFAIBAIBHZBiBCBQCAQCAR2QYgQgUAgEAgEdkGIEIFAIBAIBHZBiBCBQCAQCAR2QYgQgUAgEAgEdkGIEIFAIBAIBHZBiBCBQCAQCAR2QYgQgUAgEAgEdkGIEIFAIBAIBHbh/2/he7inS0uwAAAAAElFTkSuQmCC" + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 39 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:51:22.600733279Z", + "start_time": "2026-04-21T14:51:22.554949037Z" + } + }, + "cell_type": "code", + "source": [ + "r= np.array([\n", + " 0.158, 0.155, 0.154, 0.156, 0.156, 0.154, 0.158, 0.159, 0.156, 0.157,\n", + " 0.159, 0.161, 0.163, 0.163, 0.162, 0.165, 0.164, 0.162, 0.156, 0.154,\n", + " 0.150, 0.146, 0.142, 0.142, 0.144, 0.147, 0.152, 0.157, 0.160, 0.163,\n", + " 0.167, 0.169, 0.168, 0.168, 0.167, 0.163, 0.159\n", + "])\n" + ], + "id": "ab8c757f3dd33b16", + "outputs": [], + "execution_count": 40 + }, + { + "metadata": { + "ExecuteTime": { + "end_time": "2026-04-21T14:51:33.680441844Z", + "start_time": "2026-04-21T14:51:33.144281782Z" + } + }, + "cell_type": "code", + "source": [ + "bx = plt.figure(figsize=(6, 6))\n", + "bx.patch.set_facecolor('#E6E6FA')\n", + "plt.polar(theta, r, marker='o', linestyle='-', color='blue', linewidth=2)\n", + "bx.savefig('./save3.png', dpi=300)" + ], + "id": "94712e29c04f5205", + "outputs": [ + { + "data": { + "text/plain": [ + "
" + ], + "image/png": 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" + }, + "metadata": {}, + "output_type": "display_data", + "jetTransient": { + "display_id": null + } + } + ], + "execution_count": 41 + }, { "metadata": {}, "cell_type": "code", "outputs": [], "execution_count": null, "source": "", - "id": "ef99a3200e9fb29e" + "id": "b9be66077f194bcd" } ], "metadata": {