From 30e67d5f71059ef1ff168165940bfd80a7f0c29e Mon Sep 17 00:00:00 2001 From: mirjagranfors Date: Thu, 10 Sep 2026 14:38:59 +0200 Subject: [PATCH] update DTGS172 --- .../1-getting-started/DTGS172_bacteria.ipynb | 479 +++++++++++++----- 1 file changed, 352 insertions(+), 127 deletions(-) diff --git a/tutorials/1-getting-started/DTGS172_bacteria.ipynb b/tutorials/1-getting-started/DTGS172_bacteria.ipynb index 36715cb0..f748e592 100644 --- a/tutorials/1-getting-started/DTGS172_bacteria.ipynb +++ b/tutorials/1-getting-started/DTGS172_bacteria.ipynb @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "c830d4a2", "metadata": {}, "outputs": [], @@ -82,10 +82,10 @@ "\n", " def __init__(\n", " self,\n", - " radius=0.5e-6,\n", + " radius=0.4e-6,\n", " length=2e-6,\n", " rotation=(0, 0, 0),\n", - " max_bacillus_bend=0,\n", + " bend=0,\n", " refractive_index=1.38,\n", " **kwargs,\n", " ):\n", @@ -93,7 +93,7 @@ " radius=radius,\n", " length=length,\n", " rotation=rotation,\n", - " max_bacillus_bend=max_bacillus_bend,\n", + " bend=bend,\n", " refractive_index=refractive_index,\n", " **kwargs,\n", " )\n", @@ -101,7 +101,7 @@ " def _process_properties(self, properties):\n", " properties = super()._process_properties(properties)\n", "\n", - " # Ensure radius iis scalar\n", + " # Ensure radius is scalar\n", " radius = np.array(properties[\"radius\"])\n", " if radius.size > 1:\n", " radius = radius[0]\n", @@ -128,7 +128,7 @@ " radius,\n", " length,\n", " rotation,\n", - " max_bacillus_bend,\n", + " bend,\n", " voxel_size,\n", " **kwargs,\n", " ):\n", @@ -159,13 +159,9 @@ " )\n", " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", "\n", - " # Apply wave-like bending along the lenght of the bacillus\n", - " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR / length)\n", - " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR / length)\n", + " # Apply wave-like bending along the length of the bacillus\n", + " lateral_offset_x = bend * np.cos(np.pi * YR / length)\n", " XR -= lateral_offset_x\n", - " ZR -= lateral_offset_z\n", "\n", " # Cylinder mask\n", " cyl_mask = ((XR**2 / radius**2 + ZR**2 / radius**2) < 1) & (\n", @@ -179,7 +175,20 @@ " # Combine cylinder with end-caps to form the full bacillus shape\n", " mask = cyl_mask | cap_mask\n", "\n", - " return mask.astype(float)" + " # Hollow out an inner capsule to leave only the cell envelope (shell)\n", + " inner_radius = radius * 0.6\n", + " inner_length = length * 0.9\n", + "\n", + " cyl_mask_in = (\n", + " (XR**2 / inner_radius**2 + ZR**2 / inner_radius**2) < 1\n", + " ) & (np.abs(YR) < (inner_length / 2))\n", + " cap_mask_in = (\n", + " XR**2 + ZR**2 + (np.abs(YR) - (inner_length / 2)) ** 2\n", + " ) < inner_radius**2\n", + " mask_in = cyl_mask_in | cap_mask_in\n", + "\n", + " shell = mask & ~mask_in\n", + " return shell.astype(float)" ] }, { @@ -189,11 +198,18 @@ "metadata": {}, "outputs": [], "source": [ - "bacillus = Bacillus(position=(64, 64))\n", + "image_size = 128\n", + "\n", + "bacillus = Bacillus(position=(image_size // 2, image_size // 2))\n", "\n", - "optics = dt.Fluorescence()\n", + "optics_fluo = dt.Fluorescence(\n", + " resolution=1e-7,\n", + " magnification=1,\n", + " NA=1.0,\n", + " output_region=(0, 0, image_size, image_size),\n", + ")\n", "\n", - "pip = optics(bacillus)" + "pip = optics_fluo(bacillus)" ] }, { @@ -206,15 +222,15 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/giovannivolpe/Documents/GitHub/DeepTrack2/deeptrack/optical/optics.py:1418: UserWarning: Scatterer defines 'refractive_index', which is ignored in fluorescence microscopy.\n", + "C:\\Users\\xgrmir\\Desktop\\DT_test\\DeepTrack2\\deeptrack\\optical\\optics.py:1418: UserWarning: Scatterer defines 'refractive_index', which is ignored in fluorescence microscopy.\n", " warnings.warn(\n", - "/Users/giovannivolpe/Documents/GitHub/DeepTrack2/deeptrack/optical/optics.py:1429: UserWarning: Fluorescence scatterer has no 'intensity'. Interpreting 'value' as a non-physical brightness factor. Quantitative interpretation is invalid. Define 'intensity' to model physical fluorescence emission.\n", + "C:\\Users\\xgrmir\\Desktop\\DT_test\\DeepTrack2\\deeptrack\\optical\\optics.py:1429: UserWarning: Fluorescence scatterer has no 'intensity'. Interpreting 'value' as a non-physical brightness factor. Quantitative interpretation is invalid. Define 'intensity' to model physical fluorescence emission.\n", " warnings.warn(\n" ] }, { "data": { - "image/png": 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", + "image/png": 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" ] @@ -226,7 +242,9 @@ "source": [ "pip.update()\n", "image = pip.resolve()\n", - "plt.imshow(image, cmap=\"gray\");" + "\n", + "plt.imshow(image, cmap=\"gray\")\n", + "plt.axis('off');" ] }, { @@ -239,34 +257,46 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "id": "3004eeae", "metadata": {}, "outputs": [], "source": [ + "max_bacillus_bend = 2e-7\n", + "\n", "bacillus = Bacillus(\n", - " position=lambda: np.random.uniform(0, 128, 2),\n", + " position=lambda: np.random.uniform(10, image_size - 10, 2),\n", " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", - " length=lambda: np.random.uniform(1.6e-6, 2.6e-6),\n", - " max_bacillus_bend=1e-7,\n", + " length=lambda: np.random.uniform(1.4e-6, 2.2e-6),\n", + " bend=lambda: (np.random.rand() - 0.5) * 2 * max_bacillus_bend,\n", ")\n", "\n", "multiple_bacilli = bacillus ^ (lambda: np.random.randint(5, 10))\n", "\n", "non_overlap_bac = dt.NonOverlapping(multiple_bacilli, min_distance=3)\n", "\n", - "pip = optics(non_overlap_bac)" + "pip = optics_fluo(non_overlap_bac)" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "id": "e88acce8", "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "C:\\Users\\xgrmir\\Desktop\\DT_test\\DeepTrack2\\deeptrack\\optical\\optics.py:1418: UserWarning: Scatterer defines 'refractive_index', which is ignored in fluorescence microscopy.\n", + " warnings.warn(\n", + "C:\\Users\\xgrmir\\Desktop\\DT_test\\DeepTrack2\\deeptrack\\optical\\optics.py:1429: UserWarning: Fluorescence scatterer has no 'intensity'. Interpreting 'value' as a non-physical brightness factor. Quantitative interpretation is invalid. Define 'intensity' to model physical fluorescence emission.\n", + " warnings.warn(\n" + ] + }, { "data": { - "image/png": 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rhVqtBgDOqgqCwFlmjOzTz9GIyJBXGEntIKRhRQ1y/EEsKi6LIygt2/l8TlH+JklSAEI59WgJabnPNyi3Uqlsk/t8g3blseW16Ck6ZJlWji9izxe9p31PSf4DgyFvMJLaIZiEzBe3bb9gCN3w9rOYfMEQtIB8WcjpE5JBDL4wcQY6MFiCJESLqVwuY2FhwR1XjpNi1B2JTJMUr02CMh/HO8nksfQ9ybB4WZaBIsP6oQyGrMNIypAKksh6shxnNUX5lmTuPF8ePSmrkXR0VgiW44iJZe2H4rlIUpQHeW6dx0+TqAxykJMWcnmn03HyHclJfqSFpQND5PP1yagGQ15hJLUDMG2ZL8n+UfKdLmuLQsp52nryRehJ60lbUrqsI/Z4LhKXPI+8Dh3qHjXQVufck2BWc9+H64moqeMNhlmAkZQhVfST+WQvXw64jUtL5Btky+1YpkXky6mnM5Inkfh8RCazS/A88lpIkpKkAGyT+ACEZtuVwRN6Rl79kev5kceJIjKDIa8wkjIkQpR1FBcMESU7+eQ9HY1XKIQnD6QlI8uSjOT0GFG+Ipn9QZZJUixHEZP0N5EYpR8sakJDfksSKRaL24hKhqPLiD/9zfWyLL8ljKgMeYeRlGEsGCR6LyorhB5kq0PGfemKNDHJ7ORRsp4vv56U+HhMXpuO1pMkGyXtET7LSZNQlAUls5xrMvNZVPKcBkNeYSQ1w8iS47yf9SQj8EhGcsyStHDm5uZC6Yp02WdJ6fFLkpgo6zHqj9eirTdpMUn/mC9knPesrSRG7zHbOVMhtdtttNtt1Ot1l/l8a2sLzWYT9Xod9XodzWYTjUYDzWbT7dPpdLbJf3KmXoMh7zCSMgyNfuOeuNznl5INu2z4fRnE+0XdsSwTv+pce5qY9IBbkhTHO8lADOlvon8MQGTknoQOcCB5MOycc0jJT6vV2vbhcklMnU4nZF35fFJGVIa8w0jK0BdR0t0g23O5T+aTYdZS1pN+JpIUiUlnguByEoosS+lPE5MMGZfWk0/Ok34mPSgXgFdikwRCYgqCwE1cyLmhSEDNZtNLUlwvSUpKgfI8+lr42wjLkEcYSc0o0pL6khwnyqLyDdqV1ogkiYWFBRSLRSwsLLhpLpaWlhzZLC4uOktpfn7ekdfCwsK2sUzaP6WDHjQxyXRJMisErTs5mFj6nfT9SmIiKZBMgiBwJNPr9RwZdbtdJ+W1221sbGw4WW9tbQ3NZhNbW1s4c+YMms0mNjc3sbW15STBVqvlsqbr4Aqff0rDfFeGrMNIyjBW6EAJPQjVN9ZJWk8krIWFBUc8LOtkr1Luk5F+tLokMWpikpF5MghCXq8OiNAEJa0YGdhA0pAWEK0j+qRIUtLnpD9a+pPHk0EU/cjJyMiQJxhJGQbGsNaVT+aThEESoaxHkmIqImlhSemP+zLoQefi82WCiMqpJ1MXyWwOMoyc8Pl/KOtJYmq32wiCwBFRt9t1ZNTpdFyABAMnuE4GSzQaDScHykALHQGY1IIyGPICI6kZRBakPrlMR/Tp8UYLCwtYXFxEqVTCrl27sLy8jHK5jOXlZSwuLqJSqWDXrl0uem9xcTFEUlrik6TH4IkoiwnANlLql1ZIhntrnxO/SUy0fHq9npPnKPE1Gg10u10n8bXbbSfrNZtNrK2tOVnvzJkzaLVaLtJPWl2MGtTjpnxEZcRlyBuMpGYMWQs717/lRydMJXHR4uGAW0p5zJknfVJyzidJUr5kszpdkZYf5TVq+CwmPReUlvUYuddsNh1hNZvNbZYUrSUt90nrSQdQyHNIK8o3oFdef9QyIy9DVmEkZRg7fNYUyUSOX6JMxzFR8/PzjpgWFhZCZUlSOl0Rjwkg5HvSg26jiElHyPlISfubpPUkAyRITL1ez8l3nU7HWVKdTgebm5uOkGgx0WoiWdF6IoHJMHRNVBaGbpglGEkZvBjFIvNlltDh5lKS46y2lPKWl5dRqVSwvLwcKpOkFhcXXai4zD6hs0LorOFRxBTlZ2Ljz7LODkFLidYTpTxaR4ziIxnRz9TtdrG1tbWNpFqtVsg/tbGx4Qhrc3PTkRT3o78rjqQMhrzDSGqGkCWpTyIqFZIkFDnlhswwTiKTkw1Kf5b0PZGkGIzhywQhB9z2G+eko/V8KYxoyUjCILHoUHNaQSzTJ0WJTwdG8Dg6u4S2noaJ6usn9RnJGbICIynDNgwzUDdq2yiLykdSlP040Fb7pOiv0nn3oqwn7XfS0AEQAEKTDkoS0OOduIxkJH1PJCAGS7BM6ynKkup2u9jc3HTh5Zubm+4cXE+y0tnQfTKfwTALGDtJfehDH8KNN96Id77znbjlllsAAI1GA+9+97tx++23o9ls4sorr8Qf/dEfYc+ePeO+HEOKSJIWiev0OCltLTF8nGHn0ifFDBJLS0suGlAmgdVZIZJE6WnfEn/Lhl+mHaI1xDFOWtaTQRHaStLE5CtzX8p6nU4nJOuR6Hh+ncFCJ5klJklWzFVoMKSJ7cnGUsQDDzyA//gf/yN+7ud+LrT8Xe96F7785S/j85//PO6991488cQTeP3rXz/OS5l5ZFXqk9CSmy9Nkra25IBfnUIpyufkG3AbFRihpTydiVxKbFpyi8u1Jz9xA3PjIve0vBcn8el7MxhmBWOzpDY2NnDkyBH88R//Md7//ve75Wtra/hP/+k/4bbbbsM/+Sf/BADwmc98Bpdccgm+/vWv40UvetG4LmlmMSmCSmo5+bZNMrjXl8dPk5KPnHxBEL7ZaqWsJwMNtJQnw8dlhgiWpfQmy/V63fmhGCBBS4rWEC0iRu5xzJQc5Msyo/h4LZJAfdaTLypRfsvn4CunAbOmDGljbCR1zTXX4FWvehUOHz4cIqkHH3wQ7XYbhw8fdssuvvhiHDhwAMePHzeSGhBpE9Qwx4sjLx9ZcZxSFDlpovIFRsiErzr7uC/ogWVG68URk8yvJ4lJSm+0pEhGDBmPkvu0f0oOxNXRejwnr0P7n/SYqDiC0jCry5A3jIWkbr/9djz00EN44IEHtq07efIkqtUqVldXQ8v37NmDkydPeo9HiYRYX19P9XoN+UYQBN5wcuCc7wkIW096OvYo64mSn8xATguIUp/Oxecr66g/eR4t7WlJzxcc4SMjIx3DLCJ1knr88cfxzne+E3fddRfm5uZSOebRo0fxB3/wB6kcyzA9+LI1RPmC5KdYLIYGy7Jhp7TEtEbSaqP11G+qDJ26iOHetHAovdXrdUciLGtLitaTtKRkQIUc2Mtzyog9GdIurSeZcsmXVSKpnJeU0EYlO5P8DGkidZJ68MEH8eSTT+Lnf/7n3bJut4v77rsPn/jEJ/DVr34VrVYLp0+fDllTp06dwt69e73HvPHGG3H99de73+vr69i/f3/al54rjMMPNY5jRvX4fZkbSqWSN2ihUCiEwq47nU4oek/7n+TxuY8vKwSj5Bi8oMc16Vx7JBNZ1tIfCYiyXhQxSZLkMhld6CMmeW9Rz9csK8OsIXWSetnLXoa/+qu/Ci1785vfjIsvvhg33HAD9u/fj0qlgmPHjuENb3gDAOCRRx7BT37yExw6dMh7TI6LMZxFHiL5JCjH+RrcqI8kGWllAefGMBWLRXQ6HWdJyfNx2yjrSfqepJRHSU6WaQXJbXgsWSbZSMtMj2uS1xI3xUaUtOcjoSRjo4ywDHlF6iS1a9cuPOc5zwktW1xcxPnnn++Wv+Utb8H111+P3bt3Y3l5Ge94xztw6NAhC5rog3GSU9rHln4i/maDTMuIVpIeCEsJrV6vo1qtot1uuynby+Uyer1eKPLPd56orBDSJyQzQXC5tJ6iLClfEIUcMyXvR1pskrB0QlpfMISU9XxRfPwd9fyjtjHCMuQJU8k48e///b9HsVjEG97whtBgXsN25M1q8kFH2hUKBddQk7Da7TYAbIt6k6mQgLPTavR6PTf9hiQp2bhr60kSk5bhGJijo+40MckypUNJTPLYPH8UMenM5XGWlH6G+rkmLft+jwvmlzKkhUKQwzdpfX0dKysr076MsWLS5DTK3FFxY6CYXYLfc3NzKBaLmJubw9LSEsrlMnbt2oXV1VUX9SnLnFtq165dWFhYcKmQ5PQbUkoEsC1yz0dSOqeez3rShCmtLR3dJ600lmWwRhRJAeeCO1j2yXuD+J5GJam0moQcNi2GKWBtbQ3Ly8uR6y13X4YwC1aThPRF8beUuGR0HWUzmVC2WCwiCAKUy2VHJiQpmYFCkpQmBl9+PZ3GSFpVMqLPN7CWZRn8IIM8pL9J+tN81tMgltOoFlTUsmG2MRgmCSOpDGDa5DSoFTUopF9FWgxs1BmyXalU3DfJipIeABck0Wq1QnNEkcxkVJwMkNCTDsbJfTrST5JUFDH5BtzKoAgZ8JHUYpLlYUnJ9x8YDHmDkdSUMW2CGjd8cpNsvGkF8Td9OAAckVQqFTSbzW1h5zrbhB4P5ZP45HioJINvZcZzOZZJyok8py9aL2oQrn4eUc9tGFIyQjLMEnYsSY1KDsM2BLNOSj6wIS4UCtvkvl6v5yQ7RvABCA3gLZVKaDQazp/FYAqZlDbOkoqT+2jJkdQkMckACO6nLSaZhVxbTP3kvDSkvCTEZaRlyDN2FEmlSRC+Y0U1BlkmpnFdG0lJltmYAwhZHiQiynnyI31S7XZ7G0nxo0nKZ0npCDy5XAdXAIjMBKHTK0nrCfBLedpi8v3uV+63Lup/SAojM0MWMRMklRUSyMp1TAI+EorbzmdFaMIC4AIdyuUyWq2WIy+CFlYSkuJxfSTlG8yrAyBkJggdAKFlvSQWE3/7ntEg5SS/DYZZQe5JaicRQ9qY1LOTREU/FAfxSqIrFouhbBKcCoMRfRwbxWzoegoQ6QeScp+O9JPLGVAh5TuSok5RFDfgtp+UN0oQxLDWlFlRhllA7knKkA/oRlqnNmKUHqU2khCtJin3MduEnkeKH50KSct32icWFZmXlJii5Dz5PWrZ9zvJ8057W4Nh0jCSMqSKOOlPbiMbfE0MMlgBQCg4gQEWMvO5lPtIIL6ksjJkPCp0PErOiyOmKDLpR1T91kVtl2R7g2FWYCS1QzGI1DesLChlPu2Xoj9K+7VIGoVCAdVqFa1WC8ViEY1GI5S/r9/0HFqy04QUR0Y6ACKJv6mfFRW1TVw5alk/cjLyMswSjKQME4Vu4ElO/DCAgtJfr9cLDdZlrj+dWFYeU5KSJCNaaQAGIiYul+fQ9yK/k5Z9v5OuSwtGaIasw0hqB2ISVpSGlgF1Y08CkmONCAZU0JKSEX96MC+Pp6f1ALDNxySJSe7rIyT+1uV+lk8aUl/UPsOsnyQsyawhDRhJ7TCkRTo+K2bYkHRaOtK3ROmPg3UZWEGLi+Tkuw5JcNoy0gEQep9h5LxRLCnfsmH9T4MSghGIIQ8wktpBGJSg0iA0H2FJQuJ5fFaV3pbb0LKKukaflQaEB9lGlaOISR7b9x13/4OsmxRxGEEZ8gIjqR2CLI8n01YUfVB6G0kMekoQ3zHlN7fV+/tkSC1TpUVMw8h7Sbc10jHMKoykdgDSJqhRj9cvpZSU66S1IwMs9EceN+r6koTG9yOoqGseRvqLOlaS5aNgkoRmfinDqDCSMngxacvLZ90M07jJkHe5jMeVv33n90mQeruoZcM2xqM24kYChlmGkdSMYxiymYY0GEdQ+nqkBRUVTCGj/iS0H0pG+vHcLEvfl9xXlkeJ7otalmTdINuMsn0aMGsqu0jL7zxO5JqkovwRcdhJlSVrMt+wx4iKFtREVSqV+kYAygg/HabOZTrPIPeTx/BdY9yycQRJ5OldNqKaDibR4UxyjlH++1yT1DDYKZVl0tZQPz+Qzxoa5VyaoBiiTmKSg325jH4tWkg6qlBHFsqUS/Lcabw/o0QFjuuchtlAFoOkfJ29pNhxJAUkc6DvVKQhD44yWFgHQkgyIiGVy2X3m+VSqRSabl4moJUkRejcfcz1x6lAZIi7lgjjiKpf4EQSTIPADPlCFokoCbSqkQQ7kqT6Ic8kNqqFMui6OIIaJdouSsqTxFQul92nVCqFpvDwZUoHzllMOpEty4VCwREYcC5LhR67JTFq4ITvWLOIUXrTOxF5JaK0kWuSivNJjbMi7BTJMG30k/58IeU+a0oTFS0nSUyVSmVblgoSlI4klL6pUqnkCErKgr5Q92m8A/bezT6MnMLINUnFIe6PTqOiD2O2jhOjvthpy3yD+qI0GQEIyXa0kmgx0YKam5tz5VqtFrKwpPUFIERScmr4VquFZrPp8gM2m01HXIz2A8K5/6TsN2inZdgxUVl4z9KAdfK2w4gpGjNLUnHQL8SoFWaahDWJiLuoyLqo35qg4vaPs55ISsVi0RFTsVjE3NwcqtWqIyaW5+fnnUVVrVZDlhfJhgTTarXcpIecBkTOGsxoPyCcMZ2/025odwpBGcIwcuqPXJOUT+4bZQDoTkTaJDds0IQkKRmxR0tKynzyU61WUalU3Ecu5z6ce0qOieK5ut2u+3B6EG5PkuS2+sPlaVhROw07uc4ZBkOuScqHYYMe0rKGJmVVTcKCitomipT6yX0+iwlAyNrR1hN9S/Pz846E5ufnUavVUKlUsLi46JYvLi6iXC6jUqk46U9bUrSIKPF1u11sbW2hXq+7aexLpVIoM7sMpNBTfOj7HeY/36mN9U4mKrOgkmPmSKofklheaTnGsxzNNCxBJdk2idyn10uSoqxXqVScRURZj8REklpaWnKkND8/76S/ubm5kCVFkiL5NJtNR1IkRklG7XbbTbpYKBScNAjAJcCVRJvF/zgP2IlEZQQ1GHJNUmlE98VVkrQqUNoVcZoveT9pr58fqp8lJUmF0p20qvipVquoVquOvKrVKubm5pxVVavVQpaZJCk9OWK73Ua73Q6dk0EUpVLJjZ/S5GSNjcEwfswcSZEMBiGvOIkubRkwzSCNcR2jn+Ujy0lIyxcUQQKR1hOj+EgwCwsLziLatWuXIyGWq9UqlpaWHFlJ6U9bUgBCJNVsNtFoNNDpdNw+ckBvq9Vyv9vttov+A85ZUjqUPcvI8vXl5RmOCuvUDIdck5QP/UglyfpJ+JIGPUdaL/iwxxnUgtLbaIKK8kNR0iuVSo58SDoLCwtO7qOPateuXc6aSkJS7XYbANw55GDddruNRqOBVquFQqGAWq3mtieJ8Zhy/NQwYejErDfMg2CWpb88EJTvGrPwf+SapNjIAcOF8EZViqhjplmJkh5r0i/3MH6ouH20JcUxSz6S0uHjtVotRFJS4qNPqlarOQuLy+SYKTlOSk6oyIi+drvtJEQALvCCFhV9Vbw+3+BegyEKWXxHhvU1A9MhrVyTlEwi6suVJr81KfhkwSSklKY0kTUCirOQospRy3xBEVLik/4mEg8lvvn5eSfxLSwsoFwuY9euXVhaWkK5XMbKyooLklhaWnIERkurVCqFSIrnZiqkXq/niKnT6bjrZ8QfSWlubs5ZUvV63Y2lkseU1hTvNwu9z7xiFqS/aRPTOM/f79jj+N9yTVK6MQSiJ8zT/oOkBDQJq2oSGAdB+bbV20VJfDq1EUPNSVgkifn5eRdeTolvYWEhJP1R7iOhSWtMWm+SpDhmirJitVoFAEdeXEdikv4znyU1TMOQp/dn0shb/SKmSVDTJkd5DWn+d7kmKTrbAb/1JKO4+iUB1cSU1KrKY0VKC1F+KB858Zu+J5m6iCRBiW9ubs6RFKW8+fl5R0zz8/OOsObm5pzMp/1Zej6pQqHg5DoSEICQ3CglQm0x6XvLE/L4rvbzH2cJ03ofsvoepklWuSYp2RABYWLSgy5lWZIW99OVOMqqyiNRDWpFpSnxSWIieRQKBUdGlPgWFhZQKpWwtLTkAiAo8VUqFaysrLjly8vLjrwY3Sfz+EkrTYIyHt8HSnfcPwiCkCUl8/+R2LRPSst9WUZertOHuHd4Wvc0DYLIKilFwXe9g/5fuSYpNiCETvopERWa7tsn7iHmjajSeqnjjhMn8UmZT1orMmu5Hv8kLSnKfdKqkmVaUdxXkpTv/2TQBK8lCAJ3LZT49ESKclneMQs+H40s1z/DdgxqIeeapBhmLNPTSH+Db0pwSj60puS+Pud3ni2qJI1qUitKL4uT+LRkJomD1i+JplQqYX5+3qU0Wlxc3FYulUpYXFwMyX20muiPkhKfHBAsrWafJUhwOy0Ny/dplpDF93UUTEoazKv1lOQYWX0fck1SS0tLrjcMwM2yCiA02ypDjWXoMcuEJitNTkkqdZYq/igElVTu0/4Z3+y5JA9aTAsLCygWi1hYWAiR0a5du1wU365du5ysR7lPyoCLi4shgpNZKXSwhMzXJ31MEvq/12QlfZuyLPfJI2bRqgLSJ6w8ENMsE1muSYpOcj44STqEbGi09ST9CYNW2ChCyhJRDYJR/Fb8HWVNyTFQkrxkkIOcekOOgWKZARKMBOS+8piU+OS1cVxUv/vUfsqdhLy+s0kwyr3lRd6d5HVOI5gl1yTFnrgkKVpPnU4HzWYTAFwGgSgy8sk5UdJfP9kvbnmWkIalJQMkGFggJT6SCMmlWq06y4eWFC0jWlJLS0uhMsdGyeAKjpGSVppv4C6AUMeEEjA/nU4H7XbblfWH28l9eWyfNJhn5OGdHRaDdECnSUyDnHuY6+y3z6D/fxpBEUmQa5LavXu3S3kDnJP4er0eWq0WWq2Wm3m10WiEHOMySss39QKhI/+SyoDTrPTDWkVxcl+UxCeJSlpJHEwrxy/Nzc05AiIxcUDuysqKk/uWl5ddmR0RDvJlQAX9T3LKeP3f6OhOyr785sSHfFfkh0ln5Qy+7PxogpIY138+ifdplokKiCerrJNTWtuMun8Sl8cg2ydBrklKhg4D59IkycaJvxm9xfxrwLkGV5IWMJ2cfmlhVIIadN84mU/KcPJDuU5aWNIy4v8qJzLkGChJTDLyLuoeJKGQrPRHWlcyUEKWfVZTHFnlFXl5z0eBTxGZ5rWMus2k5b5B3o80/J65JqmVlRWXZw04a0lxDqBWq4VKpYJut4tGo4FisRhKgaOnA9cNj8SwARNZr/C+l1tbUVGWlBw7RFKSfiJG31Hi4zeDIhYXF0MWE5dLiW9paclJfPRJyXFNPL/PguJHSnpyosNGo4GtrS1XZmJZlpvNZsii0tKffGfikGaAxaTep1kNqJDIgr9pFPJJev1p3Kcvkjlufb/rGPS9yjVJnX/++ajVat6J6hqNBmq1mpt5lYlCfVFf2scglwHnGgdZebMo+w3y0veT9KL2l9YSSYIfaQGRVKrVKpaXlx1Jra6uOjJaXV0NSXySpEqlUiiPHzNM6Cg+KdnK/4+Ewo6LJKNOp4N6vY56vY52u42trS1sbW2h1WqhXq87kuKHREfZT747vmjAcWIa79Msk9U0MCw5pUFaw6Cf72lQ0hqUsHJNUhzAKaP1SDDdbheVSsX5SpgCR07doKWipIEReUS/Fz/OqvL5oXzyng5Bl9F3JC9G9ckce3Iwr0yXJCP39PF9KY+IKDlPlqV1JIMktMWkpT8t+03SLzUtzFI9yDrGTVBJtx1WPeq3bhjkmqTOO+881Go1AGcfKieno/Ukk4MCcM5vAC7AQo6Zol9KNkLSihrWapp2Je9nQUVty98+iY8yG4lFBjTIad3n5uacJbWwsIDV1VUXLEFLamlpyUl/jPrTEh9JzCfxkUj4n0rrqdlsYmtrC71eD5ubm9jY2ECn08HW1hY2NjbQbrfd8larha2tLdTrdScN0pKSHy33TdovNYp0kqdzzhqGsaAGJa20LKqo4yS1oNIMoCj232Rw/PSnP8Wv/uqv4vzzz8f8/DwuvfRSfOMb33DrgyDAzTffjAsvvBDz8/M4fPgwHn300YHPc9555+H888/H7t27cd5557nv1dVV7N69G6urq1hZWcHy8rKLFKOExAZVzkEk09/oDzDYS+Tbblwm+ajHjvI7RVlMetwTxzNxYkISDWW85eVlrKysYGVlBaurq+5/4W/5H3HQLrOe87jyf5IWlSYpSnMkGEp8lPQ2NjawsbGBM2fOhD4bGxvY3Nx0H8p+MtpPy31J/VLjhO+/Gre/ZVLnmSX0s4SiOoeDbBtXf0f5RJ1Lr497L0Z5Z1Inqf/3//4fXvKSl6BSqeAv//Iv8d3vfhf/7t/9O5x33nlum4985CP42Mc+hltvvRUnTpzA4uIirrzySjQajYHOJTNfS38Iyz7pSIZJyx55v0qe1wo5ao8r6iWUEXz8rZ81SUXKeT5pT+8nI/d8HQdge2YISVZ6LFTSDyVAEl6c/4nIanTfpEgkr/Uij+hHZHGkMSgZ+c4zSFuS5nuRutz34Q9/GPv378dnPvMZt+zgwYOuHAQBbrnlFvze7/0eXvva1wIA/vRP/xR79uzBHXfcgauuuirxuZaXl7G4uOh8UozOoj9KRvRRDpQNEn8zqEI2cD7/AxAdRJG0oRpk26THS7rOZzH51rGsB+rKKd6lxMdQck5AKDOVz83NYWVlBbVaDYuLi1hZWXFTvXOclMzdR8tJzjPFayEkIbXbbUcqDIqghMcAiTNnzqDT6WBjYwPr6+vodDpYX1/H+vo62u22K3e7XWdJ8XgcX6elPm1F6fdEl6eFJLJNWufIwv1mEcPU0ahlUXXW993v3HFRzFG+Vt/x9HLZVvqONyiBpU5SX/rSl3DllVfiV37lV3DvvffiZ37mZ/D2t78db33rWwEAjz32GE6ePInDhw+7fVZWVnDFFVfg+PHjXpKidEOsr68DgJPw2Gi1221Uq9WQH0qGH1cqFRdaXCqVnJxTKBSc/wpAKGmtJKU4n5SPvKKQNlFFncP3O64S+L6lH0qOe5ITE5KYmFOvVqs5kpqfn3flhYWFkH+KYedcxwhBztKrrV0gnPRVBj1Q4mOmka2trZDviSRFwqLM1263sbGxEdqeZNdqtdzxpWUVZ1XlBVGNTRrHzNNzGDdGsT6SdjJlx1KX+8Hnf4/aLgnpDEpYSZC63PejH/0In/rUp3DRRRfhq1/9Kn7rt34Lv/3bv43/8l/+CwDg5MmTAIA9e/aE9tuzZ49bp3H06FHnw1hZWcH+/fsBYNsg0biPjhzzTXIXp7XK77xhkOuOkj99Pqm4gbpR8l7U/xAl7emXW1pRUamOtLUss0uQzKQlrVMhaYupX7j5rDTKeX2/ZxFJCCqujurpZqKicPV3lAzYT1rsd939lsUhdUuq1+vh8ssvxwc/+EEAwPOf/3x8+9vfxq233oqrr756qGPeeOONuP76693v9fV17N+/3znp2Ui0222USqVQjjXZYFEObDab22aErVQq6HQ6KBQKaLfbofFUUVF+wPBW0ajW1KgNStxLr6P4ZHQdc+dxsO7S0pIbrEv5tVarYWVlxc2gu7q6ilqt5gbzcs4oDtql9cTz6ESx0nriQG0t8bVaLWxubqLdbqPRaDgraXNz08l6GxsbWFtbc5YUJb4zZ844S2pzc9NJfCQ2TVxJ/FBxUor8D4Z9Bwb9/weRowfdZxzHmAUktaLifut6KodeSGLRZW4TZzHrDpfOd+lzeWhrWb/DPkuqn2XVD6mT1IUXXohnPetZoWWXXHIJ/tt/+28AgL179wIATp06hQsvvNBtc+rUKTzvec/zHpPRY77l8/Pz7sYpDUnnN+WfRqMR8qFwfwZrUMrq9XreXsUgkl/U+kkhSpNOKhfI3hUJgwEpxeK5Kd5l4lfOpLuwsLBN7ltaWnL/FZPKcp3uLJAYNSjvyf+V/y07IFtbW2i326jX66HwchIWJT5KfyS1ra0tbG5uukHgDF+ntSUtN11pk/zHg0q/47Bo4o4ZdX1pEdZOJqp+SEpQvo/MWSnLvkAjHsf3/kp1wleOe9997aJex7JcP8g7kbrc95KXvASPPPJIaNkPfvADPOMZzwBwNohi7969OHbsmFu/vr6OEydO4NChQwOdS5uvOipMy0jyt0yrwz9YTpbn+5OJact/w5y33z5x8oEOOfdJezLKUpa15Cdn5PXJD/3kPV8WcynlsUzfI79922grSQ74jZP50m50+71v40aSc45yXdOqJ9NEUiuq3/79JD1fuxbn7vANmo9qL+NcIVHXl/R5DPKup25Jvetd78KLX/xifPCDH8Qb3/hG3H///fj0pz+NT3/60+7irrvuOrz//e/HRRddhIMHD+Kmm27Cvn378LrXvW6gc7FBJPgwfZbUwsIC2u025ufnUa/XUSyenR220WigUAhnpZCSIV8MLftJTEvyizqmr6yXRb1oksBJMj6Jj9F4nJiwWq1idXXVWU3nnXdeKLqPkt6uXbtclvS5uTlnpelM5kA4c4QMYuBgW1pKDKxZX193qY3W1tbcekp8DJyQ1pOM4qNsKCMGGekZlWSWyIKPKk7aGXTfKHlykGPqfXeKRZWUoKJ+xykbrCe6oy3HD8rsOjIqlvD5daVS4SsnsbDigi/iAi/6IXWSesELXoAvfvGLuPHGG/G+970PBw8exC233IIjR464bd7znvdgc3MTb3vb23D69Gm89KUvxVe+8hXMzc0NdC5JLEQQBO6PqlarIamK5Uqlgl6v58o8lu49yAcrZT8JnxSo18Vh0MqbtLfSj6zkuqiKwGfIsHPOhkupTs6YyywS9Elx0DRlPpKUnrgwSuJjhZAdDgY6SOtI5tzb2tpCs9lEvV7H5uam81NR1mOZRFev10M5/YLg3DAFVk52VqI0+mlgEMtkGJlP7xclRw56/6OQ3KwhjqDksn4kJYdq+MgrquOiSUpmbKHLg2W2UfRZAdjWaeP19iOoTPikAOAXf/EX8Yu/+IuR6wuFAt73vvfhfe9730jn0Wam7DnQlA2CwJFZr9cLmcUsd7td9wLwgerejP4zgGTO8DR7kGnLJj5LSssIrAhSJmDiWJI/f/Nbf6TcoOUEXw9eViI5iaX0Fcm5n0ha9CfRB6lTG8moPh1eLnuJUb6nKGsp7v/N6n8vjzlsR2onWUejYhApjMuipHep/LCOymlsJElFWVLsfMkOmSQmSViFQsF9y0659mH5kMSX3w+5zt3n+yP4wNho6hxwlKAYAEC5kI0ocC7xLK0ySVw8B8+fRuWdVGWPkvikP4/zPPFZcfySnEKDqY4qlQpWVlZcxN55552HhYUFVKtVrKysuPFTHA/FgAmpfevnKvMpklSYi5G/NzY2HAmtr687S2htbc1ZUpT7tra2XLCElPjkwG9KfCRDmc+xnwU1DpkvLUspDr5OV9R6vU3SDlsUZpnckvwfcXKgz3qSWXJkFCzbMTm2UAY4SYXCJ6NTOWCdo4ogI2i53EdeUgqPmrVad/SGQa5JSvb6gbPkQsbnH0RLivNOaauKg3j5p7KsySnpyzeuyjeunrTPeuJHvvCU+xjRR7mP+RCZOYLSnpyqg1aXTnskLSk+Nz3+iRVHB0VwKAEH3zI/H5cx0o8JY3UGCVpfOgWSb8DuMBh2v1EaOd82UdfRzz8wKPkMK1vPKlklRVLC8gVH6Ghb1tOoSFnpW5ckxXdeqgvFYtEREq0mSURSBidkHeY+aSDXJKXBPxSA+4OkxKcjy6T8JHsrvhDOfuZ6P30/bd+Ub/+45T6tW3601i1Jqlwuh5K8koRodckyt9GDeH2DdQkpF8hoOznglsTEEHMGTzQaDdTrdWdBkYi4LeU+3VOMmsQwStobd2M6LDn1WxZHRj7/QBL/UxTBzLKFNAqS/rdxEp+O3GMHkB1wKhRyzKH0T/Ec2hcl032xk86MPayLJDeOI6XiQKmQhAacrb/yPYiqO4O8J7kmKd3AdjodZyVJnbbZbLrACWkas9chLSw+dGlJ8U/y+U+kRjuqL0o3Fkmtp6hGqZ/WTcKQFg4DHUqlEhYXF7dJfOVyGeedd56T+xjRx8G8MqCClYjBEnLclbxPmS+RfiZKfIy644DbdruNtbU1ZzWtra05clpbW3PExRx9jUbDSXwc6CvD16XEB5yz5FjmNcpvXe63Lul/l2Rdv/+63zsj76WfNdOPmHzv+LgtsLxB/x9x/6lPfifxsNMoc1xyclAOjJdRs5QEZceQkGoB65pMA8Z6I9ONSV8wt2eqOlmXtI9XWm6+wcJJkGuSAraHTxMyEIJl9hZk70SXZQ9GE9MkK9S45D1ZlkQlJbiocVC0kmS+PlmWlhb319arTzqV8oNObcSKQ0tKynY+60nOqCvHS2lLKiq8nGV5bf0wTmnPt30cOY3qo5LveBJiSkO2mxWiGvb/9C3zyfCyXrI+UuWgFM9Opo+k+Jzle892kdYT6x07/WxTKQECCFlUmnh8ZXk/w6gSuScpQjZ+voG92sLSMmDUQLYo2c9nPXF91ipclNSnCco3AFCSEa0kTVKSnGSIeT+Jjx8p8TEiT4aGS4lPTvdOPxS3k5MVynFP9D2R8HQvL0rik0gaLDGIBZF0ne//k2Xf++nrCOjvuEZFlochJrOotiOJFRVFTnIwrpy/jT5iOVEol8shNjK4TJJUrVZzdY+p4Tqdjiu3223nt2dibtYlnyQoVSguZx2XY011ZzAOuSYpWYn451Kyo3lcKBRCf5YcAMxGFYDbhtKftMKk9JfkwaYhgyTFML03rXezB8aXnJLC0tKSi8yj3MfIPUp/zETPykKS4rckKoIVhIQhJT6SEafT4Dio9fV1N3vu6dOnHTkxuq/ZbOLMmTPuWFLiazabobFWutLICuNrsNMkqGHISZMQn6XuRHF5lLUq7ycum0a/3m5Sq0tv0w95JqpRrCgfQekACX444/Xi4mJoRgHK76y/tKTo5pDvhPRJyck8qT5wihuWt7a23HrKgCwzCElKgowGlGMOZYQgrbIdQVKENGWlNRX10dFl2nKSx/T1UJNaUVmqdLrh8llUMphES34ySo+9Oh21p1Ot+CxRYLsVxRdXJgOWcp+U7aLGQelxUzqzuS9yT0YfRRFTUulv1P85SSPneyflM44jKV6jz4LSz0H/V/2uKavvfN6g66dur3SKI0leUopnh1OSFN8TrSLIYAmqKvTPViqVUCi6lAuBcCg7lSkA284h18n1SZFrkoqyVmSllXIfrSSarzL7hI6g0cQmiSlJD3IaGLShk8QsSYbkI0PIZRQfpT9ZUWTlkaQnn4/8SKtG9tCYOUIngd3c3HSW1ObmprOwmLWcvT8p8Uni0ySlrSeJQS2oUf+ffhZU1H+m/ahyTIy0XHnNsnGISnujU+Bo0pEkFicHDioPDrPtrCFK7tNWlZT7aEkxyTOTOPtIiu2YrAMMQe92u6hWq9vkPs7DJ8u0pFhmvadVJYf4aKtKj7VKgtyTlK4MfMnlGAGZPkmnRapWq27wL5fLsVS+MVPyfFEV1bfNJBGlf+seGiuAJCaSETOYU16QZVYKjpliFJJMdcSGUjZ6Ms0RiYQReJw2g8R0+vRpl82c5Var5aL7Wq0Wzpw54/xWlPgYaCEttKhQc3l9LMvvuLLv96j/U5SsxwhWGSEpQ4y1L5X7AeEoRZlpgM9CZxfwWVc+qzOus5ZEaej3XPJOVIN2GuPqJuslPwsLCy6CdteuXU7u43KSFCOZ5Xsh64AcJ0XJjh0++qHYaWSZdVaXe71eaCwifcRcLv3OPGcS5JqkfJDWju556l6KL0BCSiY6dDOKoIa5vkkirgcf1SPXaVf0mDJfiqMoeY+QjZ0cqyTTE0ldm9aWTIOky76JCzUpJSUmeZ2+8qQQJctGWVIyKlOTFDtaAEIkBJxLiSOtLhnVGtUJi+ucJem4GfpDt1X8v3UdZICSzm4uO56+tkxaynJwrm9cVLfbdZ18Ob5QzyCgP+z0s+PPd4H+/qTINUlp2YbQhCMDKqSVpP0ulAHZAFOH1ZZU3AP2SYJZQlyDF6d5a5+UrhCS5IDt8h6AUIoVJoXleKgzZ86g1+uFpnXXU7zLOaLYS+M3CU1LfEmj+IaR+Ab5f6MsW13W/4/8b9iBoIQjsw5ItYDbSmhpT8o8siwbLZallSUjtIYho50s5xH9Oo2+OirHGcpIP50zk5aWHNirLSngXP2UhFOtVl39YbnVajkZkP6ubrcbKtfrdVfmOVmmdVYul50FRZ8xibEfck1SuvGRPXj5p+gKzCg+/rFa4pMvBMlK9i5lgwLko8LpRlD3wDVh66SxejwU/VCSpHzOUenjoAzHF5VygSSgM2fOuKk1Tp8+7Ujq9OnTTgY8c+aM8z9R9uMxpXUmHbjymuQ1+r7jyr7fSZ991LIogpLDKCijSgmHvgn+h1yuoykJSdwyBY6UYorFonuGrVbL/eZ9s5etn0WcpTXMMxt130kiqawXtSyKnHwBE1KWl74p+qdkCLomKbaBhOy0SF+RTuYsc1zKmQNYf+lH7na7biqkTqfjJpUlSVH1YHlHkJTuFfsQJ5fo6D4pe3Fgm0++ipJCoqyorFhVSSpKVNRjnEQaVUl5z7IXr6UCmf1BynuyLH/LiD0tN0RZTXEkNIwFNU7oTpD+X6TEKjsIMmhF+mP1fWjipkUGnBukSeVAS3/cfxgZ0HefWagTWYSvTvks7CRuDBkY5ZP8+D/IiD0u4/ZaDuRYKV0P5TfbT27HzD4AnKqVhNyBnJOUbpR05aYVxIobBIF3YK+MUJFyn47y48uQtAcQhaxUUJ8s6uvFa9+HdtAT2vHObxnhI3tiGxsbLopvbW0N3W4X6+vrWF9fR7vddmVaWwyMYJYJ9u5kBUnqh+Jv+R1X9v1OE/0kHlpMMm2VzC6grSofSclGRY6JKZfLrhNQLBZDedn4n8r794WsD0NaSetBVurLNBFHXLLsIzFZl+V2uiNHq4rRfaxTLDO6r9frOTWl2+26d0+WGYxGq6parTqLnaHtzPfXD7kmKdmLZu+PkEQlSUpmnNAkxbIMU9eNspYVh62Ek6p4UdaTtgz5AvvSRfkycsgKIRt7KR/wN6UDGSlUr9dDvidNTCxzmg1G/fV6PTeQV8pWUq6Q5x/VkopblgaiLH2ZTkon+uXgaZZJWHKmYw5eJ/h8pMRHK5XyS6vVAoBt0ZG648E6oKOzxklUOwU+GVh2BnXH0mdRcR/d2WQkaJT6If9f2bbKTqYcwDs/P+/eJXY+5+fnsbCw4OQ+Lqf01263UalUXCcpCXJNUkD/1CySVHQvo9+gXrm9Pq4+R1YxiFmddDuJKB+PlvhkQIOW9XxyH6P3dMSe7uXHBUf0I5uk/1va/2/cc9akJd9V3YGQJCanVWEnS55HDqfg/0FQfmEHjZ053SnTvXD97g8i9xn6w2e5Rm3DcpRqIOEjPwmOceJ2MoiGY6bYoef7RBmQnaBisRgKZOL2hULBhaUnRa5JipVNyxKAf0xQErlPRq1JqZBlX3huHLJYWX0ylvzIBl8TgSQdPs92u73NupSkwt5Us9l0Et/W1pazmHyWlLSeOp2OG7RL64m9O5lRIk7m0/c9KYmvHyHxW7+rJB86wDl4en5+3qWq4pgYLqf0R6tLk5RMgcOAk3a7jVKp5DJ1AHCyn8+SkjKRrnNR0p98L6KsqX7POsk2eYPuQMbVQ9nRk77aYrHohmQACE3g6fOrS4LSZETSCoJzwxLYTlK+owpFiygIgpDER4teW0+U+ygZMktMEswESck/U0I+fB9JSWLyyX3sHUg9V8pbvh5lkl5mFqCvxSeT+QjK13PSDTFfYm5HiY9+KIaRS5I6ffq0IyZKfNIPJQcJ6pl0pdXGe4siqEmRUxQkMfE7yh8lSYppb5hMlJkGVlZWHEkxZxsbE3lOHdFXqVRCEp/0NzCqj2XZSEpJN4qA+r3ro9SFrNWjNOCzhjRBabmWJMVOIjuKMl+e9Kuz7kpJENj+/hH0aUqSYpvJ+i0TIUg/FElK+6G03MdOUT/kmqS0vCTlCWB7T07Ld1rPjfoQUf6dvFSaKAuKpreuGFFkJaPDZOQPIS0cPchW9gLl+CbfgFwt82lraVC/07DPaRKIe/+03Kcj+mRHi8s5iJPg/0UZhkmWgyBwPWIGUbCHTbLkAE8p/fGa5fX7ntsg9SNPdWlS0O+6fP/jomUBbOtYsAPEtlJ3KqL8YSQ8/manh1Y23xl2fnguKfGR0AqFgnvfkv7XuSYpGXqsb1r7o/iQZR4/aT1R05fSn4zyk5q+L+Kpn6Qhr2kS0L1ceX75kRE9jOxir4y9nV7vXLoTWlBsPBluKs/rC5ag05XWk7SkNjY2QsvPnDnjJCkZDUiiopWmyTSpxDcNC8qHJGQkU+JQ9qMl5UuHQ0uKJAQgZBWR+Gu1mpNc+F8zTLjZbLr/VgZTyN51VAchTuJLy2eVRzLzPRPfNmxbSDa0jvh+0PoolUpubBIbfjb+JA62jazX9FmyneN+MihMBmTwGtleyoheytG0rqRVpS0plvm+sdxoNBI9u1yTlCYoXWlkb0D2CBjnL7Ms6FQ/2lHts7hGrSjTqGzyGfEFlr0xNkysHJR75DxP8sXmc5THJqnwWByEKyP6SFKU9aTEJwcJkiR9U7/LHqY8P8vyngcpTxo+opIBEHIQJ5P7Uu5bXFwM5VYsFouO0Hhs3p8kqVKpFOqE8D/lPEEA0Gw2nUzOToeUjaRFLc/F8+l7TEJUSX1PeSQqH3xSn1Yv2IFkfWSnotFouDaNIeEkKDlwV9ZP6XeSHXj5n/iUJD5v6TZhuyEjppnpgp1XZqvg+0aJkp2iJMg1SWli8kWMRMkn+luPKdDExGPJb12eNqJ6aHK9LOtnp+UBKR2QJFiWqXdkXi9+c3s5dYYv/x6Xy9Q8WrqQ16g7Ivp++j0fX3kYRDWuw0Lvr8eiyXFTOsJPd7JkdB+Py2fHZTKvmh6GwYZHduakgqADiHzPo9+9zgLBEP3q3SDH4bcmK/5mI8/OhhzXBoSn15AqkBxi4gtZl/egrSn9f+l2lKQlpTxd5nUAcBb7jhknxUaNVg//TE0u2pKSvVRWVFZWXfm1RaUj/PpVumlVyijZRQZCAHASH6UeOQBPzhnFhpHEwoZTy0CM5ON2DJaQlhSj+xhYwag/ZkTntdCS84We85y8P993XNn3O+5ZJn3WUdCdG1/nSX60JeWT/jhbspydldFWsg4ACPn+ZERfEARukkr6qwqFwraoMTYq/I915zDuGUXVk1Gk8ayT3SDkpZ8l5TgAoSg4tlFsy2i1BEEQGiRbLpfdZKDFYhELCwuhsXaU/uTkpExWKztEPhUJCKtTbBODINhmVXGQr7y2arWKVquFubm5RM8m1yQlK4uUfQhJItLxS1NVS3qyJyp7HDrYwmcO+5C1SiQJ3Kd/AwhJfHLGTZmrj1KPfGbyPyDZkKQ2NzfRarXQaDScrLe1tRWSAUmMlASkNcZj+gImeF/yW9+zrxy1/SDr04ImLx9Z8b2UY6Jk1B/JS5OU7O0yCIJ1hselxBcEAer1uqsfHBxMPwJ77TwmG1IdsDQs6Qz77LJUx4aBrJNa2SgUCqEI2lqt5oiBUhpwzkekLRcp0bHN47G5nOQEhMdI8Tp0pKi2sPj/syzJi0NFGEgh/d1JkXuS6icDAWGZzifxSQlFL5dyi5b/soAkvTW9TZTUF0VYtIxkBBkAL0nxWJKkGHpKy0jKfTwfJYp+4570/9zPcop7JsOsSwNR/1ectBzXSdKkxo6XJin5HuiILO0AlwmX5aR2JEuSVZSyEPUcferDqEQzC0RF+OqmJBUZTEH1o1wuO98iyYrb8X3QEh2AEBmxLGU5tom67GsD5fupO61ykDhJF8DOyDghQ5R1gwZsd0gD4eg+Rk/Jiii/KYvoShlnTU27svgISVZi9mqkFSp7PFLq5L3yxeXzYKZlrmPPSct9rEgc69RsNp0lJSc6pMRI60lOWS0lvjiSGqbse3bTQhxxRflOpdUv5WmSDbfj/8O6Qoc1pVwZDMPxUgBCgRUyiIJ+ETZA2jKX/i9g/EEUeYS8f9mJAMLDOoIgcPVBqhds6MvlckjiY15Ljp2jZbywsOAs7fn5+VC5Wq26Mt8hTkFPSVH6QON89vJeuA9JkPVZtqdJkGuSkg2jbsTimD6u9ynLepncP65R8b2Ak0Q/60r20gCEyIAWjxzULAmLLxtHu0eRFKP7SFIkH8p6DGknSdE3IiU+Hb0Z5X8apqyfR9YgO1ZA2JktrSTf+6rfW2n5srMxNzfnfB2UBinxAWf9ILVaDQBCkVitVssFyshr1HXCR0BRRJSGRZUHayqqAyl/EzIITI5DlCmFZIebdVGuY31kmQShrRsuB+A66fL40jpiJ0RmNPEpANyW7xzvg+0o/eBJkGuS0gQVJftpU1f3TKXU5ws5l9vzePJ7EIyjMiWR/OS2/NZyH4BIuU82ejJwQZMUrTMGTnB8FK0qaWHJoAhJcElkXB/5xBHSJBqwQf4H3776dxRBR32Ac5notYrAhgxAyAqjikBlwRdIxIaL20hfGRsa7bfVltSsE9AoiHpvZMcPgOtIAHBWL60r/p9cJzs4MgSdZZKULjMjBAA31orvkDw+wf9G//9yve7kyzFaSZBrkpK5yORYH58ZyQrrC99lIyyTJ0rpT/dMdUOQBcQ1kL5Ggr0pLisWw1OQSAdroVBwviVGBDGjgawQMoiF1pgMopBTdchxV1ynw+CjSGpYS0o/k6zBRzzSPydD9OU7r2VuINwxk42UJDy+27InzUaq1zs7gFuWKSuxA8Leua+zOIjUlxaySGb9rCe5XILPkOqCtEgYwML/jf7dYvHsGDnW03q9js3NzZDERxmQZUb9MUKUnZOFhQUn9VEGZIAO20pKxHyPdHvAb94zrTFp0SdBrklKVgoZ3RdVYbXUF2VN+T7a6ah7Czwvf0+7ssRVDm1FsXdDq4bRdfLZcHQ4yUxr05JUer1eKCiCJCUbOElMvvDyOHIapqyfTZbgu2bf+9zvo6EbDfl+ymguaSWRlGQyUZnNQA4U1Q2SzzfhI6s4STyq7mShTg2LYZUOQkp/0pfDxp7Hl+eQHRPpg+b/yP+dx2SnU46/4ntBiV8ei+eX59b/u24rpb9KZ6qJQ+5JKi4STEKTlPZL+bR8vY2uhFmypAaFfEaSYNhLo5wgGyLq2+zByefDF4/byeAHJoaVBCiDXuIkvmGtpmkR1CANkt5PdhwkYcsgEtmIUElgx4FWr36WBK9LWlfsFQNwYe1BELjwdgAuEINlKQdRieB7IFUG3pc8d9TzT4uo8kZmSSwraf1q9UO2SbLR53/BOst3S0bRUu7lWKkgCNx/zbKMIGR9lSmXdOg7SU1fH69RLpdZMeKQa5LScp9s9CTLA9sDJqQur4MEpNznC6hgeKcmqbgKMonK47OeeG75m5CyjLxGHofPtFgsotFohOYrIokDCJEY95dykCQkKeuxAkifWJxFPCw5Za3R0tejCUqSEslIpsPRaauA8BQNrBP6XGwc2ADxP5RjZhgY0ev1UK/XXePEiDHKvlwuP5okgWiVYZyyX9YRR0w+WR5A6LmyU0J/FIdwkDAajYYbL1ev150MKKP4OIsz02pVq1Vsbm66jopczjJnguaAYEYIcrxWsXgu6TFJyEdYXLYjSEr3NrlMQ5ugcbJfVMCEDJrQPq88VjRZIfgced9sbHxEzEohJR/ZELEiSR+hJKZpWE95gU/C09YUn63PL5VETWAPW0pG9D/KsVEysEIuZ5k9Zl1nRlEYklhTeUWchS3X+cpa+uNvWYdIYnI7fvvGQ5HsKOWxYy+tLznoW/oxZbCGLOs2VLYpuv0Foidd1Mg1SfkqqZZMAL/zVltVWvLjnym/fRVSHjMLlUr3YLksqhLwW1tQvnvjS0drEgj3zmVHQTeo/H984eVRJCWvUZd9v+OeR5YRRUwy44DPqqLDnGWfJSV73ITsaMmoMPosAISyVsip6bmc1jV9GbSs+P7IiDR9r6NYU7Mi+flUjyirU+8HnAtL1x1IWY/5DtFK5jhHdhxJMswmQ/+jnA2C80TReuK7RNmebQFJThOeDG2X9zXIf5RrkpK5yIrFcyno9Z8FbM86oYlJyn1a9tMRfrJHOmmflI9wk+4XJ/vJxkIGU7Ch5Evtsyz1tUni0R0IkpcmtSgLqt/vqBd92EYqbr9h/uu4HjTXa4KSUiuAUI49OfkjI7noVyBpNJtN17gw+AE4l2FAdtIAuCitIAgwPz/vGp6FhQUn8ckyZUBm4i4UCk7yibKSowhpXLLfpImq3//s2ybJu6F/S4tEdiplZ1pmpaD01mw2XTvG6FwGRLGdq9frLmCmXq87wmKZ7xslQw7wZg7JUuncQH8ZBcx3S3f4dwRJ+aQ+XwOoIQlLyno+mS9K8pL7T0qmGOS4vgrQT3KQZV9DQgxCUr6yPsewBNXvPgZBUqtsXJ0STVa+56ZlPvZgfZlX2OP1WaeE7HDw3uL8tZSB2AP3jc3xNaI+IoqqJ4Nukzf0q4M+xcO3jt9BEHg7zLrM39yOVo6MzJVlKfEx60ihUAglmybRaTmYHVpJRrKDG/dO+pBrkpIVNW7ciCYYLff5ovvkSGttQUXJfdOoPL57lOuS9tTktcsXWW7L9TqqyHc8n4SXlvXk+x21rB8G3WeYHnPUct9vaX1KuY8BEr6JKHu9nrO2er2eGzAdBNulP/n+Aud8UmyAKN/RgV4oFNBoNJz0J1NiyWnq2VDxemUgTBIZSyItosoDmSUhrShLM6qeyrLcVxOU9kVy/CLLlPvYUZGZaOQgfz2VPa0qts/yPJLcdsQ4KTnehpo4K6J06gH+UdBa9vPJfZq4dGTfpMgpiQWRtGEkfPKf3F5WAH2/cv+oa42ylHzEFHV/4yCnrDVcmtwBf+aPIAicFMPQfk4QWavVsLCw4FIeyez1coyTr6PBXjBlQ0o1HPAp5b5ms4mtrS2Uy2enguA2bKgYWLMTI/2SWtpRdVKTs9w2rn7oDqYkI3YWSBaUAdnmSRmQZf7PbAMZzUm5jwOCKf2xs8T9GGnYbrddBCCn6JCEJacgiUOuScoXrhwVwhz38vhIR3+k41nH/2cFSYkqal+gv49ASzjcRx5Dlvt9J7mmqN9JjzPK9lHHmJTsp6P7ojJQMChFhifHBaQQutOh5T4ZvSU/7FHrDCy+SL9pIu/EF4Woe+L96s6o/I9kZhlZd2l9yw5NoVAIpV+Sc+7JsHc58JvRvDoRsbSupZumH3JNUr5xGrLyRvXgfXKflv50hdXrJlUJ05KjfMt9BJ6EoAYhPVkehXSS7Jv0etJAWkSln7cmKCCcjJPjlGSwRK/Xc45syn0sM6s5GwrZo5aSH3Au+wSAkNwnx8TU63Un59Trdbec+Rlllms2iNIPEXXv+p1LS/IbZLtJIq7u+crctl9nUpKRDlrxSX9BcC7BrM//yFRxtJLkQH85Fby0nlimTM33gVGElBKZxaYfck9SMsLPFwoJILKSyJ6f7i1KB2GhsH3aZd8nK4gjKsAfFiyX9yOPQe81roEYdN0gjc24G6Y4oopqcPqtlw2ITlXFHq4kKUp/W1tbbtoFkke323WDOCkVylyVQDinJY9fKBRco8KBoBzE6YvkYsRYs9lEoVCIzUTRT97LIqEMglE7L1Hk5FuXRO3g9tL1IX2TLDNnI/8vEhAtIw7aJQFx1l+WuVwO9m632y4HICVpEmC1WsXW1laiZ5JrkvKNj9LSRpzUISElD13WUl+/Y6SFUSrrMJVlEGtLL/MdK8n5BlmXJYIaN+JkP/7W0X5S+iMR+epIP6tFdtq4PRsaLftxeZQfWDeWcSTUT2oeBVklv34dmGGPF0f+8r2S55Epl+Q4LI5tJHnJKD5aRbSYpOUuJ2Yk0QEIydJJkGuSkhaUtKjYm5MPXfYoJLQ1pQMq5ABeGefPfcfpm0jrGEmIx3deHzHJdUmvcdTt0j7PpBDV84177vLbF0Qh5T5OFslgCVpV2pKS/gKqA1ryk8TE+iMtKSnr0ZLipHrchpaUHBDK0HjgXD45ns9nNUikKflNEoOSTBJLG4h+Hkmekw5R90mE0v/IsrS8mQWfZeb2lBIfo0xJYizzHaV8yDRMSTAzJBUn98VJcrLnGEVWOgyd2yR1/A2KtCtdP7LyrfNdRxxpDXtNk9hmnEjLYpXr+M33i5ZREARO9w+CcwN7GeknSWp+ft4RWa1WQxAEmJubC2Ud8Fk8fMcZ2VUoFFyyWSn9yUGcjAaUmSja7XbIApPnYVnebxIS2olEBcTLff3KvuNJOVCWSUwyOpO+JRndXCwW3TAH6XvSfigZ0s4hE5wJvVar7QySkjKIlEBkqK2W/uS3Dz7ZTy73bZcXpKGXA6Pdc5rEk7WGKU345D42KmxA2BHTY1Li8vrJ4+j/U3a+fJ01NmLaEpPWGR3u8jhxncQoZJF4soak1pbPgo+S0/kf6wAMAKEIUi39sc2VpESfFZdTgWII/I6YmZcmpx4nJS0rVib25mTFl/D1JoHw4F/+lvvIfeMwqo8lLQxrVUVtm/Z1pbXdJDEs+esGRPsTZCdMjnehj0BKf9J6qtfr2NrachILpTdOWCetpCjZjw0PgJAlReupXC5jcXHRRXYtLCw4+YdyH6PAdMStL4iCGCc5TZr4hrGmAH/d9FlHmpB828bds7Si5P8howL5/mkLS7avdLf4ovtoPfEdodw3NzeXOHAiWRraAdDtdnHTTTfh4MGDmJ+fx8/+7M/iD//wD0MPKggC3HzzzbjwwgsxPz+Pw4cP49FHHx34XD5S0uHo2mksMx4Qmmw0WUV9jwOTqkQ+otbr4rZJ6/z9zjGJaxkn9Hsft963vSYqNgjU++kDYB49+ZHr2ZnTU6fooRrSeiKZkXT4mZubc/IeP1zH3/3yXgLb1YgodSJO0RgUk1Y+hnlno96TJO9KkrLPStdj76Svn8Qj37WtrS038+/m5iY2Njawvr6OM2fOuO/Tp09jfX0da2tr7ptlbpMEqZPUhz/8YXzqU5/CJz7xCXzve9/Dhz/8YXzkIx/Bxz/+cbfNRz7yEXzsYx/DrbfeihMnTmBxcRFXXnll4rh5Qj5YX5Sfj6SA6D9Xr0sDWW9Yk8pvadxHnslmmtCNik7g6svn50sZJiXAfuTv89X6Ivt0lhZNRlGDe/Mkk4+KtIgqyXZRbVmSzpKvXfS1pXx/5CByH6nxNztJvk8SpC73/e///b/x2te+Fq961asAAM985jPxuc99Dvfff7+7+VtuuQW/93u/h9e+9rUAgD/90z/Fnj17cMcdd+Cqq65KfC466STT88Yp/0l9neeXD91XWUdpSPvt189qmAaSSn2TuL68ElhSaUdLe779dWeK72sQnJtuAYCL7pNjo9rtNra2tlCr1dDpdLC1teXkPqYwoh9BBgbJa5GWlMzh1ul0XLqkYrGIhYWFUFbsRqPhgivYWHHMjDwusD2nn0+WigoA8CHrPqxBpb+ofXx11Sf58Xe/ctQ5ZWdC/j9yDJ8MUqOvigPI+e7QL8WAHo67YoqlJEidpF784hfj05/+NH7wgx/gH/7Df4hvfetb+NrXvoaPfvSjAIDHHnsMJ0+exOHDh90+KysruOKKK3D8+HEvSdHEJNbX1wFED+aVHwChwYs+kvIRFhBOuxSHKFLLcqWJQlLCSvtck4Ku0JM6ZxQhxV2bJinpI5DvPADXY5UZJ4IgCNUdEgdwzgnOMslDSnEsc1BnoRBOPEt5r1A4N88UACcTBkEQcqqTpKIaQlnOOulMCnHkFkdOet9RiEu6SHTgDd9JEpYcoxcEgRskDCBU1m16HFInqfe+971YX1/HxRdf7Bj0Ax/4AI4cOQIAOHnyJABgz549of327Nnj1mkcPXoUf/AHf7BtuXTE6pRI/E3Wlw9a9ky1v8onDWqyiiKvccqG08A4GvRpEpNeNk2i6ncNsqGWDYJuKLQvgVFTOtLPN0TDN8iX0L5ZX6Qf5T6eS8p/MnGz9uVG3XNcQzkLpDVsfRrlXe1HXHGEFnUsYHv6JR0BSILiMRnRx44TgOllQf/zP/9zfPazn8Vtt92GZz/72Xj44Ydx3XXXYd++fbj66quHOuaNN96I66+/3v1eX1/H/v37Qw7jQqHgJnwLgsCl8SCjA+HBhL1ez/UstTWmrTLtWATi/St6WVJrLKvI8rVFYdhnPgpxDSvp6PNqSVB2omSUHGVujpNigMP8/LyL7ltYWHATEjK6ipKMToWk/Ue0pGgZcTwUB/bKQb5bW1shuY8zBnOwMQAXsgycy2igZT8+i6j/JkljmnWk9Z5EresnCQ763KTFJI8nFSef9MdxUoz6Y1qkdruNarU6vRD03/md38F73/teJ9tdeuml+PGPf4yjR4/i6quvxt69ewEAp06dwoUXXuj2O3XqFJ73vOd5jymlBAlJKNJRJ3uT3E4SlK7wOviiXxbpqO9JQ593JzmjNdL6DyYpd+rzRjVAsmHRKoB8x2VWCvpmfVPMA+ekF90TpiwOwAVLSLlch6ZXq9VQmaRHMqRVxdBlOQaH5+iHpA3rLFhboyCqwyOXxUnPvrLuKEnrKWp7SrvAOVcL92GHSErP/ZB6dN/W1ta2/HaUBwDg4MGD2Lt3L44dO+bWr6+v48SJEzh06NBA55LavA6blOG6vuiTqJRKMjQ3LipKh7JHWVXjQhILbidgnM99mOMm3aefpKKlY/nRvlRt/fved/mOa2ncJ3MD24dm+LKwSHlPz8OmZT85u4BP9uv3Oy1koTM37Hs7yn6+cty6qLZNv4/63dQSM99DHcY+tei+V7/61fjABz6AAwcO4NnPfja++c1v4qMf/Sh+4zd+A8DZF+S6667D+9//flx00UU4ePAgbrrpJuzbtw+ve93rBjoXJ32r1+tOI2fqFwChVB7M6ScfKMeSdDodNwCSAyTlg/QFZ8jGwmdl+RD3ogyCpOeQyELFHAXTtlbTeH79ZB5fL1eXJaHIFDQMnKD0R7lPRvcxuqrX6zlpLggCN1AXQCjST5ITowIZ6SelPw7yZe4+mcePUiMAF/EFnJuZgPck79/3PasYRvrrt1+UGhAl+SUNoJDn1VaUDOyRQRRS+mOnhVb81HxSH//4x3HTTTfh7W9/O5588kns27cP/+Jf/AvcfPPNbpv3vOc92NzcxNve9jacPn0aL33pS/GVr3wFc3NzA52LjC11TzrrZAZeqbPLikHy4Xe32w0ti8ou7ZMAJfqRUVxPZlyI0vizjLw2TkkbHl+Fj9tfv3OSrNhzpazHxkFnA5CNhn635TANaenI0HFaRJT1ZEi7tqLYMFE21HKfJMOk/3W/bfNIauMgKrkN4Pd5+n7HyYNRnQf9f8rjaImQVrSMvu6H1Elq165duOWWW3DLLbdEblMoFPC+970P73vf+0Y6l5QymI6FYbgMm5V5zeQYjSAIQpaSHqUvB6TJTxAEXonEZxJLpFVx0qyA/Sr7JJG3hmXS8DUk7MHqlDXsbAHY1nGTmasZlcfOl3aOy28Zoh5HUt3uuSnr6Y+Q/inWQ9lxlOfaCdaTD+Mkqqj9gNF9VfqY0qqS/y3bTr57bEeTINe5+ziQkYMHAbgpBlhp2bvj2A7J/pKQ1tfXHVFtbGy4aKV6ve7IS2r7wxCVD4NUxklW3J3WSPTDsI2B7ziAv1H29VJ1gy0bAdn56nQ6Tu5jxGu3e3YyRJIE5T520BgAwcAKkhRwLoCCBCWn8NBjpmR2dJY5ULNWq4UmbOQ5SXRRDaCGb/mskdmw0nKS/dKSAH3P3PcfasuJZVrxMk6hH3JNUtIpB4QHKxaLRafF+x4qK6q0xmSEYNQg4aSSn2H2MAhRDUNqUb1T3ahIS0r2XmV0qpT1fMMrooZYRL3LMnBCjn/iQF2Zo0+Pn9JplShLahl+FqW8YTBuqyrpe+aTAAchLi3tyk4J39kkyDVJyXFSUlpgzxGA15KSJEVi2tzcdNMgS+uJ0SiStHSl1mQVJ/UNW8l2QuXMA8ZNVHH76YZcVnSp8UuJT05Ox3eZkoucD4hSHXu8ulct/VO0sphEVkt/rINMqcT6KAmMZKcbMXlO3z3vFEyLqIDkGSyiyvJ4cp3MNrJjSKper7seHCtFEASoVCqOZPTUBJJQZOTexsYGGo0GOp2Ok/6Y7VfKglLukwMrNUGlKfXttAq605CUlHRjLa16GezTbDZDUXwcv0S5D0Aopx4Dj+g70NYNraggCFx9KhQKLtKvUDibFknKfRxUz9RJrJckQin3acuK9x6FnUJa45T/5HZ62ziyGuS5k4QkKUm/Z9Jj5ZqkZDQeHcMc1U79nL01/WA46p7z3WjZTwdNSELS0sg4Zb+dUBnzhmF7uYMcI2lPV0t+skHQ4/18uS37qQKEdIJL6U/KeFoK1GW5r++YBj9GIatRrP44CTBu/6g2S26zY0iKUXk+iU+G21KK0CRFUuIYEsp6HC8l5+IhaSXR8ZPIfoZ8YxRZJW67JA2D7hzJdxE4NzsAgNCgSSn38Z1maLrMDCETweqGRcp9VDAAuDpIi4nThLNM6Y+dPpl0VltREjvFakqCYTpHgxDcoBJgUnlQ/387ypKq1+vuRsvlcmiW3mq1is3NzZAOTrAyS+mO/ihGRJGUOChSj53ykVScNTUoYVnFzD5GtaiiCCmuVyu/pfVES0mSDoDQ7L2U/oCzdYdWDsmKUYI+ktI+Kcp9JClG2QIIyX2MvO31eo6sGI7O+sNzydRlvOcoJA22mDVESXRJ90tbAtTQ/4dPsvZtF4dck5TMs6fHMgFwlVeHO7LyyQG/UUlmdS4/X5aJQbGTKpUhHkmILql1JYlLS35RaZCihlLwmIRsXPgtZb9+Up+W/OQxTO6bHNKQAIFosusnG+pOVhLkmqRarVbIkiKxUIagtEH/lA6ckPKdlPMYQCHHnrCnGkdWugfhKyeBkVh+kKSHOoxPwbePruz63WNHjJ02AM7HWigUXDRssVhEs9l0Ea+0pORgW19mCF6PTDrLAAgpuXP8lCzLSD+OX5SDiJMGTvh64DvNmiJG8VUl3S+K1KJ8UPq/iPs/dwRJUVIAwnn6pB9K9uIIVm497QFJiPIIgyvk2BPZQ+Wx5Lcua5jMZ4hDUqtJ90Z9Of34/sqIPhITfbkkLJIUs7dI9UHWHRn4IGV0SuxBEI7oq9VqbogIp2fQJEW5T/oqSFg+H4ghjHGTVT8JUC7vJwvK/3FHkBRfbBJNoVAIpT8CzkkK1NFlxZYkJeU9LYNESXw+k3VQ35PBMIjk5yMxfmv9X3aopATo86vqj7bS5Hml1SMnNIz6+DqLOmDCJL/RMYiUN+x+gxBblAWWZH+JXJMUJQ1JUBzQyGglWZEITVI8FiuozHQuiSvp4F19nqQwQssvhvEtJd3OR1DawpByH61+AKGMLFLi4yB4WlIkE1pSHNxbKJybO0hCEhNVC1pHPrmv0+k4uY+plKTyIa0nn2RkdSMZRiEqIDl5RHWW5DGiLDCu2xGWlJTfWGk4Zko7an0PSZKOnC9KluU2/SL54iQ/k/lmH8M2EFH7DmphSctJZp/QIegkKc5czTx+jI7VJCVJBDjX4MhwdA6Yp38qjqQYfchBvfR/RSWetboxGIaV/wbddxgZMGr/OOSapGTF1FKERBRJyd5n1IDGpJaTVSRDEgxqTSUhL/1e+t5bn6QnJb+oiT37vfc+UpEdRE08vkg/k/rGg7Q7TeM6Vz/kmqR08IIcZyEdvLoSRFVmSVhxJCWPEVeOWzbIekN+MIrsF7evJi2fHMZl0pKScp+0pJgWqVQqOdmvXC679RxvxePTr6TrkkyXREtKzi1Fq6rT6bjACTmth5Tkfcc3jIY0rKqk+/vOFdWxGQS5JyldOX3OXf4G/ITis5SiyhJJyMUIauch7V5lnFXF9boeyOwTMm2YTDbLWX3lt5wgUc6wKmfUlXKflNrllPE6waz0W8mM6TKSUN6bzzdlGB6jkNWg+/cjtzjL3Idck5SvVznINsMQk9y33zIjKMMoGEZy4bfPRxUl9+l1vm31cSV8vipf5J6UAPV+cXK9IT2M2oEalOxGJUdgBkiKH19PM6ocRSY+YkpCPCbxxWNQ2WAW0K8xSCr5RfmffPvJsm9gLy0myn20Zlgul8uo1+soFM6mPGLARbFYdLNcA/56Ja0iHkt+pDXF48n0TUZOk0Ma9TGqo5LW9hK5JikgTCw+rT7p/sMsi1s+6DlnCf0s2zSQhwZt2F6rb7+kpEeC4ra+cHTKeTLjP0mJA4HpP6KvSvp6+fEt86VG0tIeicon9xlZTRZpWDryOEQS0kraFhT7b5If+Kwe38Pot7zfcftdwyQa6SxikBcvjXPtNAxqnev/Q0bxxX3kOEGd20/7gSV8PiXfx7e9b3/D5JB2fUrzeLm2pHzsnYbFM6xUt1MkvqzcR9oBCpNGXC9W3luUBBj1P0irRFtStJQ4NkpH91HuY56/IDgbucdxT8C5NElxPirpe/JlpdB+Ku3XMkweaVlV+ngSwxw71ySlEVVp48J60zh+kuNkpWEfFlm9/rQrVtpIm0ij/K9yvf6WmVSYgJlkRZmPPiJKgpT+isViKDOLnKrDR1LaYuo3XkrvF3ffhslgnJ2/OH9/FGaKpKKQxgs+yjHyXMHycu15t6rShCQOGeXHbzlwV8t8JCmSGgmNJCX9RzqKUP5OEnAkp88xZAtZqk+5Jqm0zMkkxx3XNmkjL6QyDmQ1inCUSD/APwuqXO/bj+v0wF5aLHKiQ5m7r9FooFAouJmqKfcxMpDXoK9Dh6/LZXHk5bvmOOzk93vSyIpKkWuS8mEY4kpL9hvlmKPAKu52DCr9jhtp9kyTHEuSFLNCcIoMX6CE/DDyj3IfLalCobBt4C2j/KKytMhrkddmVlR+MG2ymjmS8iGtRjyLZJDFa8oypl3hopAGifn8VVqOYyoiTUj0STFEnetodXEGaz3lBoMzJNnpKEF+SzKT16zvQS/PcuTZTsK0JMBck9Q45Z1hXuRJvfxWyUbHNCrcKLKfjvSL++Z2JBUt9xWLRUdGjO6jlbS1tYUgOJt/b2try6VGqtVqzgrjufgJggDNZnPb2CsSnfxmWVpyck44nz/NkB1MQ1LPNUlJ+MJgRz3GuPfL6nl2CrLkHB4FvvuQpKU/ceOltPQnrS4Abup4TVLSWtIEFJViSWbF4LJh798weUxKlZgZktKYNeKwijgeTJqohrWmkmzr+y2JSYeiS7mP80oxAW21WkWz2USv13MBFeVy2b2HMnwcgJME2+22Ow7HY8l18twyZVOUPyvu3gdZbhgfxm1dzSxJjRMWFDFbyANRJYn08w3w1dYT9+E4qWKxiEajAeAs8WxubrrtarUaqtWqW8eZe6VsyMAJElGn08Hm5qaLDqzX6+7TaDTcIGEfYSUNYx/FX2X1abxI+nwHqW9GUgPAXnDDpJCUOJMQnk/605Md+tIikYxIJEEQOPlPh6FLy0xLhjyWL0RdX2fU9Sd9ZoZ8YJD/Ndck5bvJcab0mDSycA07BVmN+kuCqOAJSUx6Kg4SB2U+Bk7U63UXti4tKQZZMDCCWSdoSUk5j5ZUq9VCvV7H1tYWGo0GGo2GkwElmfF6ZBRilBU16nMy5A+5JikfZuFFnIV7yCsmJf0lOU9cQES/9T5JTA7s5ay7ANyMugDcLLpBELgJC/m7XC6jWq2iVquF0hwFQeCi+UhSJKQzZ844qY/fmqykFRdHVIadiZkjKYNhVGSJqNI4lg7plj6qUqmEIAgi0yMBcFYSz6GTxNKS0sEYMgzdF3buy6w+SMCEkdjOgJFUxmAVLxvIClGlZU0B57KjA3DBEZ1Ox6U/AsKWFCcpZC4/ZkOv1WrbQtAlSVHea7fb2NjYcNLf1tbWtog/GTThI6u0/FFWr/ILI6mMwCpR9jDpqL9BrsNHVNoXJdfzm5IaiSgIzg74JUmUy2VnAQFnfVFzc3POf1WpVFCtViNJqtvtusi+TqeDjY0NR1hbW1tueaPRCFltmqT0dRt2LoykMgCrhNlFVohqGOhgEE1c8kMJTk7PQbmPZRIXj6l9UpQQZZYJHSBBgvRdg14WdT+GnQUjqSnCKl0+MG6iShpEAfjHRsWV5b4y7FumISIpsUxiYcg5xzYVi0UXTBEVgt7r9Zzl1G63ndTHSD85X5UvK0VUVN8o0X5Wz/INI6kpwCpN/pAFohrkGL6wdO2TIilIkgKAcrnsCIe5/RimTj8VEM46IUPJZaAEiYkSn87fJ/P2SZKKC6IYJHjC6lr+YSQ1YVilyS+yIP35rKS4qD7tn+JybV3JKTeYVJbWVKFQQLvddlN+cJkkRJKa9k/JwcE6qs8n9/F4BgNhJDUBWKWbHfhktzSPPWxi5LhoPy6X0HNCSctKJpUtlUoudx9Dz2lJAQgFXWiSYrokkhQlPvq+kkb1DUtgVu9mA0ZSKcMqxs7AuMhqHP4pbqsJICo7hZzoEICT+EhSpVIpdH4GXgBwBEQJT8p6DGX3Tc2RhKCinsOg6wz5gpFUirCKsfOQBQnQh36yoI8I5FQatK6kpaT9Rj6SYpkk1E/ii5P6RgmWMMwOck9Sk2wkrJIYfEjbqkp6vCji6RflF3Uu6W9iMAXLMlefnqaDx5GRg3ImYD2flCS7qACJfgRlVtTOQe5JCrCX0rBz0Y/QoiwqSUj0T0nCoAUl0yDxPFEkxY8koCgrTE90OIgFZfV9Z2EmSMpgyAKyIv0lkfqi5quS3z4rx5duSe+nSSpK0hvUB2XYmTCSMhhSRJpENYiMmET68/2W+2rrSlpPMuQ8LnpQB0DI33r+KN91+I7Zb9kg6w35w3a7vQ/uu+8+vPrVr8a+fftQKBRwxx13hNYHQYCbb74ZF154Iebn53H48GE8+uijoW2eeuopHDlyBMvLy1hdXcVb3vIWbGxsjHQjBkNWkHZDmfR4SbbzWTX6IyPw9PxTMt+eb2JDPYFiVJi5j8xGvT8jqNnEwCS1ubmJ5z73ufjkJz/pXf+Rj3wEH/vYx3DrrbfixIkTWFxcxJVXXummqAaAI0eO4Dvf+Q7uuusu3Hnnnbjvvvvwtre9bfi7MBgMAIb330QRho/A4qL0fASkr2MYQjIC2rkoBCP8+4VCAV/84hfxute9DsDZF2nfvn1497vfjX/5L/8lAGBtbQ179uzBn/zJn+Cqq67C9773PTzrWc/CAw88gMsvvxwA8JWvfAWvfOUr8X//7//Fvn37+p53fX0dKysrw162wTAxpO2jSno833ZR+ybZdpD7GEW2G0biS7qNIVvgf7a2tobl5eXI7Qa2pOLw2GOP4eTJkzh8+LBbtrKygiuuuALHjx8HABw/fhyrq6uOoADg8OHDKBaLOHHihPe4zWYT6+vroY/BsBMxiGWU1BrxBUkktZaSWlRx1xV3fUZQhlRJ6uTJkwCAPXv2hJbv2bPHrTt58iQuuOCC0PpyuYzdu3e7bTSOHj2KlZUV99m/f3+al20wjA3jaEBHOWY//08SIhuElJKcN2qdEVQ8ZECL7zMrSJWkxoUbb7wRa2tr7vP4449P+5IMhsRIGhgwjmP2s2iiyGEQAhpmvyTrktzbrKIfASUhoTSOkQWkGoK+d+9eAMCpU6dw4YUXuuWnTp3C8573PLfNk08+Gdqv0+ngqaeecvtr1Go11Gq1NC/VYJgJBEG6U3wk2XZUDGPJ7QRMgzT6ZSTJAlK1pA4ePIi9e/fi2LFjbtn6+jpOnDiBQ4cOAQAOHTqE06dP48EHH3Tb3H333ej1erjiiivSvByDIVMYVyMwip9KrxuH1aePH7fNIMeaBWTJqsnStUgMbEltbGzghz/8ofv92GOP4eGHH8bu3btx4MABXHfddXj/+9+Piy66CAcPHsRNN92Effv2uQjASy65BC9/+cvx1re+Fbfeeiva7TauvfZaXHXVVYki+wyGPION6ziypxNJs6jHbTspEhjkPLNETFlHpiysYEDcc889AYBtn6uvvjoIgiDo9XrBTTfdFOzZsyeo1WrBy172suCRRx4JHePv/u7vgje96U3B0tJSsLy8HLz5zW8Ozpw5k/ga1tbWvNdgH/vk5VMoFMb6KRaLiT+lUmnin0Gur1gsjv15TeIz6D1n5TOu58G6sLa2FtvejzROalqwcVKGWcAketSDnmOc1zRMU5PD5imEPFhNgyDN/4PH6jdOynL3GQxTQjAm6c93jqTn6dcIDSIlDoO8kxIx6n+axjsxjmfJ65rk/2QkZTDsEKRBirNCIuPEKM83zQ7LNAhlHDCSMhimjElYVL7zTfKccch7I0oM8yynIfmm8bwLEVO2jANGUgZDRhCkMOZpmHNKjPv8s0JIGoM8t3H6CZM837Qi9yZlqeUi44TBsFMw7UY8GPNYKUNyFIYYs8R9ku6XRqdk3B0bs6QMhoxh0vJfv+vwwXdtO5GE0iSDtP/vpP9RGpbVOK0qIymDIaPICln5sBMJSWNU4klT9kv6f/QjpFHJZhy+KiMpgyHjmIavyjBepC3HDRMcEUcokwyM6AcjKYMhB8haRN5OR7//wLd+mH2SrOsn4cVtG2dZDWtVpS39GUkZDDmDEVa2MShBDUNoSbYd1P8UZT0Na1WlZY0ZSRkMOYZJgZNHmr4kvW4UwkpKOnHr0yaqNGAkZTDkHGZZTQ5pWERRxCSX62VJrCWW+5FJ1PuiA3UGJT0f0pD+jKQMhhmCEdZ0MKxFFEVGcqxTFFFJK5rlODLwRYvq9yXut9x3GLIalqiMpAyGGYVJgdlFP1Ly/daIsqJ8g7GTkBjP1Y+o4paPA0ZSBsMMwyyr9BD1/PpZUb7fkoCKxbOJf4rFolsnyz6rKoqUer0eer2eWyfL/YgqSu6Lk/98y6MwrBVmJGUw7BAMEqpsCCMNgvJZRpqY+NtHWPIYmqRIRtyHy4rF4jaLSxKVLstjZ8WqMpIyGHYwJp1gdpYwDEGxrC2pQqGAUqnkLftICghbUd1uF8BZS6rb7Toy6vV620gsjrT0NuMgoEGPaSRlMBgcBmk8dgqhJbnPJFF/2mICgHK57H6Xy2WUSiUUCoVQmd8A3H4AHPF0Oh0n85Gk+E3C4jJteQHbAzDkNfuCM+R2+h7HIf0ZSRkMhqFgVpgfcRKf/hSLRWc1lUollMtlR1KSwCRRESSaUqnkyKjT6TgLSm4nfVK9Xi8yECOpVTVJ6c9IymAwpIKdFKQx6P35iIlWEsmoUqk4C4plWlgyuAIIE0+320Wn00EQBO64QRCgWCyi3W5HWkBRwRSjEk3aRGUkZTAYUsesBGn4rrmfL0oul5aUlPJIPNVqFZVKBcViEXNzc25drVZDpVJBoVBAtVp15FQqlQCci9yj9dRutx1ZNRoNBEGAZrOJcrmMbrfrLLJer4dOpxO6zn5jqwaV/ni/lrvPYDDkCjth3FYUqWlLSsp40mKq1WoolUqoVquOnCqViiMnBlHQgqL1RAJqtVrbfFOU+GRZWlEScVkmpiX9GUkZDIaJYdYkwX5WVBQx0XoiGZXLZczNzTlram5uzkl+1WrVWWG0qCRJtdttR04kPIafs0yQoHgMHUQhkQYhpUFURlIGg2EqyHrgRT+pL0r2iwovlxIfLaaFhQVHTIuLi5ifn0e5XMbCwoLbplaruYAKHk/Kdq1WC81mE91uF41GA/V6Hd1u15Fft9tFqVRyARYkTpKTjAD0ISr9Ur9xVfK5jEJURlIGgyET0OHPswBtTUVF9NFiotVUq9VCJEWS0STFAAngnJXE0PNOp+Mstna77SRDkpW8PpaBwSdMHLf0ZyRlMBgyhTwGXehQc1nWxFSpVJyUNzc3F7KeFhYWUKlUsLi4GJL+aElR9pM+p1arhWq1il6v5/xXDJYAzllKsiwDL4BzBBcl/QHJE9qmTVRGUgaDIfOYtJU16nm0H4rWEv1RkpiWlpZQqVSwsrKCxcVFVCoV7Nq1y23Db3k8aUm1Wi0n8W1tbaFWqzkrqlQqodPpOAuMEmGhUAiRlx7cq8kqKp3SJKQ/IymDwWBIgKTEFTWYV6c80uRFAqtUKqGACn7L8VU6L5+U+JrNpjs2w9hZBhAKwpDZL+KkP01K+n4td5/BYDAgP2HsPj+UHLTL8VGU+6rVKpaWlrC4uOjKCwsLzpKib0nLfbSkqtUqut1uyHric5IWE60vmUYJ2B71x2WEtpqixkmNwz9lJGUwGAx9EDeA1+eDipL7GN3HEPO5uTkn8S0tLWHXrl2oVCpYXl52/il+S7+WJqm5uTl0u10XCdjpdByhSYmv3W5vy/kHIJawkkh/ep2v7Ht+lrvPYDAYMgASl5T6dJSfJDP9kbKdHAfFIAj6nSgXFgoFVwbgogg5+FeW5UBhHlNKf7z+fhbSuGAkZTAYcoUsSn66QY8axEuC4Delv1qthrm5OdRqNVSrVczPzzuZj3KglAxp+QRB4CIFOR6K1hPJhBIfELaeWOb2fK4kLRkJqHP++aynqOAKXR4URlIGgyF3mCZRxZ03KVnRJ0WCkkRFOZAktbCwEEqRRGuHJNVut51PiiQmfVJS4mu3207+k+VOp+PKMp0SiU+HqEf5qOLC1C0E3WAwGFJAGuHnPp+V/q19WJrMoj5yexKHzqpOabBcPtvE09oKggDVahWNRsONq2Km9HK57MhISookLO2D8kX79Yv+sxB0g8GwY5BF2U9Ch3THTQ8v/VJSGpQZKRiiXiqVQoEN3F7Ovqsj+qQlRdJpNptufxIVIwOBsz4qOcuvL9hhEtKfkZTBYDAMiSQkqS0nQpOWL5hC+7FkRnSiXC6HyEeSCwA3jQelQfqfarWaS4/UarWcRMjt6atiJCHJRUf8+SypuHFVg8JIymAw5BZZt6YkdGOtLRI9TimucZfER2uIch9JTMt9jPRjWQZdMIO6nH9KWnq8Pn1ebUVFXWtc2Ho/GEkZDIZcI6tEJSPjaH3QomGZWSIos7HMdQxioH9I+6+Ac1IiLSnKfVwnI/docRWLRTe9R6lUQqvVcqRVrVYBnCWzZrMJAO46AYSmn5eEGkdco1hWRlIGg8EwRuioODkpIUlIfmty0iHgJCU5VbwMPwfCCWOZ56/X66Hdbjv/U6vVQqvVAnCOkEhy7XbbOy2IJCgp+UVZVD4/lvmkDAaDYYqIkvFktJwkEUlMtFhk2iL58Y1bAuCsKpmLjz6sdru9Te6jtcTQdwDOR8WoP2nBSV8Z7yUuys8HC0E3GAw7FlmU/GSqIRIQgNBMus1mE81mE71eD41GA7VaDUEQoF6vO19RrVZzDTyJhuHkWvoD4Kwfln3SX6lUcuelFdXr9Vx4ugxVZ8AFJUEGUfAeeQ55XiJK7jOflMFgMIwJvgGrcp3PkpKNO60lymqtVguFQsHJb3p5p9Nx8huDGrTUpklKXgcJktknKPfRygLOWl2NRsORHqU/AK7M4AopMcpnoJ8Lr0X+lteXFEZSBoPBIJCWVaaDJrQ/iqRDApJk1Gq1XLndbruksdxPEpWeaoPX7pP+CoWCV/qTIem0qHidlAYZBg+cky55n76M6SwTJvcZDAbDmNCPuHwNs2y8SUbdbhfNZtOFem9ubjoCmpubc6REP1Gn03EkwrRHJDydHFaOt5KWjMwiQYuqVCq5SL9qtbpN7qPMyOvknFa0xnhcmY1CS4H62ZjcZzAYdjSy4JeSDbG0orR/SubMY+YH+qeAsxIb8/W1Wq1Q4lgSEQlB3zOXkcBIHiSYWq3mQs/n5+cdgbEMAHNzc+5aSZ6cr4qSpZzbSg9YjrOgTO4zGAyGDEAP0KUPh7IdsD3hK0PCSVIskxDopyJpANsDJSRhUBbUOf0o9zExLQBHXkEQhEiKVh2tQAChgb88vi9cnvfO6xlG7iv23ySM++67D69+9auxb98+FAoF3HHHHW5du93GDTfcgEsvvRSLi4vYt28ffu3Xfg1PPPFE6BhPPfUUjhw5guXlZayuruItb3kLNjY2Br54g8FgkBg1BU/SY/vOIwlJW1EcqMtxSo1GA41GA/V6HRsbG9jc3MSZM2ewvr7uPmtra1hfX3fLuR0/jUYDzWbTpTQiYQDhsVScgr5Wq6FWq2FhYQGLi4tuksXl5WXXFsvPysqK+15ZWcGuXbvcfouLi5ibm3OTN5L4ZEon6SOTxMnvpFbvwCS1ubmJ5z73ufjkJz+5bd3W1hYeeugh3HTTTXjooYfwhS98AY888ghe85rXhLY7cuQIvvOd7+Cuu+7CnXfeifvuuw9ve9vbBr0Ug8FgmDr6EaMmLDkmiqRFK8r3aTabbj0tL0qGctAvLSLClxNQTqLIoAn5IZHxo9dzX5n0lt8yFyHPL7+HxcBy3yte8Qq84hWv8K5bWVnBXXfdFVr2iU98Ai984Qvxk5/8BAcOHMD3vvc9fOUrX8EDDzyAyy+/HADw8Y9/HK985Svxb//tv8W+ffuGuA2DwWDIBrRfSidmJcEw6wPz6DUaDRecUK/XXbbzer3ugiHm5+fdeTimihKeDqLQkX4kUxILADdoFzjnh5LnkefvdrtYWFhwlpv0TzGgQw465v7AdqLKlE9qbW0NhUIBq6urAIDjx49jdXXVERQAHD58GMViESdOnMAv/dIvjfuSDAaDYSzQ2RckUTHogdFx0uqgZcIACubym5ubc9F/rVYL5XLZkQRlPPqEOJminvJDnktmkZCJZUlWtLDoi6pUKi64g0TFcVMc5Mv7lDP56uwYUeOnkmCsJNVoNHDDDTfgTW96E5aXlwEAJ0+exAUXXBC+iHIZu3fvxsmTJ73HkVEvALC+vj6+izYYDIaU4LOkZKSf9FkxfREDJKrVqpP5aCm12233LUmPUp+U/XxRfyQuglYcB/fKsVEkLZY5mzAtQJKqtuL0uC2Wo8ZP9cPYSKrdbuONb3wjgiDApz71qZGOdfToUfzBH/xBSldmMBgM8UgSzp405F1aFMA5ImFIuLSQaK00Gg0Xmbe1teWOMz8/7whOzgdFPxFDz6XFooMUZHYKEg0AF03I81AibDQa7piUJHu9nrtuypfaRybve1iCAsZEUiSoH//4x7j77rudFQUAe/fuxZNPPhnavtPp4KmnnsLevXu9x7vxxhtx/fXXu9/r6+vYv3//OC7dYDAYIhFFTL7lOvRa5rnjcq6jVUT5jXIfx0hJi6rRaDi5r9VquTFLtHLkgF6Z20/OOSW3kTP7MkKPlpO8DlptDJMnMQFhC84n/fV7fnFInaRIUI8++ijuuecenH/++aH1hw4dwunTp/Hggw/isssuAwDcfffd6PV6uOKKK7zHZKSJwWAw9EMWBvVKaLLSVpUkL/qrdMg6UyNFyX3cTyaylQEMGtLCopUkiYoWEv1elANJhJT+gPDkilFZMGQmirEP5t3Y2MAPf/hD9/uxxx7Dww8/jN27d+PCCy/EL//yL+Ohhx7CnXfeiW636/xMu3fvRrVaxSWXXIKXv/zleOtb34pbb70V7XYb1157La666iqL7DMYDJmHlq50uZ+1Ja0q+qMYhMBlJACmJ+I+tVotNP07O+8yH5+M3pPBGQC2leUsvpT7gLORflwn/U8Mi6fcx1RPJFQ9N5b0w/EZjD0t0je+8Q3843/8j91vynBXX301/vW//tf40pe+BAB43vOeF9rvnnvuwS/8wi8AAD772c/i2muvxcte9jIUi0W84Q1vwMc+9rFBL8VgMBjGhrjGNIqoovaVloMccEvCkaRVLpcjE86Wy2U0m01n5cgUR7R4aM1I6Y+Q0h8AJ/2RSEhwnCAxKgkuACf98fpJUnKSRd6vLOvw9H4YmKR+4Rd+IfbgSU68e/du3HbbbYOe2mAwGDINHzn5fusQdZ0l3TfwlwQh5b4o6Q/Y7ifytc06hZL0UUnCk6HqjOiTZW5PgtWTJMqxW4PCcvcZDIaZQ1p+qTSOk8SqIsFwPScbJDmQtDgHFP1CzF4ufUcMogAQ8jnxPBokKBIMcDYOgHKftJ7oH6O1ROlPZnmXEiaDKCQJj92SMhgMBkMYSSU/HTQgfTVcxyADlhlhR4mPxKCDGuS8T9InJcu+uadoQUnLh1YRgzHoL2OZ1xZFUixr/5TML2gkZTAYdjTGHeUXR0KD+LK09CctEDktBmU9+rK0n0hGBQIIRQv6gheA7YEUwDky0/4tWZYZMhgNqKU/+rfk9CIyLD4pjKQMBoNhSCSJ5PMRVz+ripIapT8GImxuboYsJs5FJQMnisViSO6jJQVgWxAFt+NvmaaJcp8Ma6fFJLNkyGS50pKi5CeDKHRARRIYSRkMBsMISBqS7vvWx5Ah2rIs/U2U26SsR+mPxFOpVFzwAsv8LQfz6mS0kqikhSfnwmKaJJ2Rnf4qWWaoOmVBWn56kG8cjKQMBoMhA/BF/EnflBwUK6U/hqdzuQxykDMAS2vIN+DXJ/3pqD9Jir5xWTrqT8qAPmJMAiMpg8EwsxhHdN4w28dZUXIbIJzbj+RAMqnX66GG31fWch+T1gJwwRAAQolmSUAyW4S8Li7XeQdlrj6Soq9M64+SII+VBEZSBoPBMCL6+ZwGHTsl5T429iQgNvJa7mPePcp9tHAY2MB1tGq4v4zok9fLa2R29CAIXMYLLfHJiRv5TV9as9nE3NycswKZb9BIymAwGJCdXH79ov4ITVgyGwUDFphbT+b8A7BN7ksi/UlZ0XeNOkkt/Vq+SD8p95EQZdJcKftZCLrBYDCkBJ9F5NsmymKKk/t8A31JHABC0h+zkQPhUHHpL5JRe4zuk1aRlP5keiRel5wsUZITBxBT8pufn9+WEYNWnwyWaDQaLn1Ss9kMja1KAiMpg8FgSAlxRBW3DeELS9dWDgMPOIMvLRQp6dGKYVnOslutVt06Tschx2UB4enmJZHRMuJcVpzBt1aroVwuY35+3k0vwjJwNoMFJ67leY2kDAaD4f+PaUp+cYN8k5Iav+VAXxkWTimPPiH6smjB0LJh8IJMEisH/0pC0tajHuwrgyx0pJ+U/vQU9QyBN7nPYDAYUsaoZJckoEKPn+J2MluDtKpYlpnPpcTHMuU6ljl+ijkB6feS03foVEqSgCj9yalG5NioRqPhUjnV63WXOaNer7v9ksBIymAwGFJEv4i+KLkvLmxdRvbxm+mGSqWS81WRPDgFPScnrNfrTqKbn59Ho9EITQHPyD0SlBxsKyP9WKbF1O12naRIXxgzYlSr1W25BeWkikmRS5JKaiYaDAYDkfd2Q8p9eo4mOXZJRvrJgAVaNvV63SWtpQRHuY6kRb+SDKKQxMVj93o91Ot11Ot1dDodbG5uYnNzE+12G/V6HY1GA81m0wVMUI6U19nvf8klSZ05c2bal2AwGHYokpJd3klxUjhz5gxWVlYi1xeCHD7JXq+HJ554AkEQ4MCBA3j88cexvLw87csaC9bX17F///6ZvkfA7nPWsBPucyfcIzC++wyCAGfOnMG+ffu881wRubSkisUinv70p2N9fR0AsLy8PNMvCbAz7hGw+5w17IT73An3CIznPuMsKCKavgwGg8FgmDKMpAwGg8GQWeSapGq1Gn7/938ftVpt2pcyNuyEewTsPmcNO+E+d8I9AtO/z1wGThgMBoNhZyDXlpTBYDAYZhtGUgaDwWDILIykDAaDwZBZGEkZDAaDIbPILUl98pOfxDOf+UzMzc3hiiuuwP333z/tSxoJR48exQte8ALs2rULF1xwAV73utfhkUceCW3TaDRwzTXX4Pzzz8fS0hLe8IY34NSpU1O64tHxoQ99CIVCAdddd51bNiv3+NOf/hS/+qu/ivPPPx/z8/O49NJL8Y1vfMOtD4IAN998My688ELMz8/j8OHDePTRR6d4xYOj2+3ipptuwsGDBzE/P4+f/dmfxR/+4R9uy+Kdt/u877778OpXvxr79u1DoVDAHXfcEVqf5J6eeuopHDlyBMvLy1hdXcVb3vIWbGxsTPAu4hF3j+12GzfccAMuvfRSLC4uYt++ffi1X/s1PPHEE6FjTOwegxzi9ttvD6rVavCf//N/Dr7zne8Eb33rW4PV1dXg1KlT0760oXHllVcGn/nMZ4Jvf/vbwcMPPxy88pWvDA4cOBBsbGy4bX7zN38z2L9/f3Ds2LHgG9/4RvCiF70oePGLXzzFqx4e999/f/DMZz4z+Lmf+7ngne98p1s+C/f41FNPBc94xjOCX//1Xw9OnDgR/OhHPwq++tWvBj/84Q/dNh/60IeClZWV4I477gi+9a1vBa95zWuCgwcPBvV6fYpXPhg+8IEPBOeff35w5513Bo899ljw+c9/PlhaWgr+w3/4D26bPN7nf//v/z343d/93eALX/hCACD44he/GFqf5J5e/vKXB8997nODr3/968H/+l//K/gH/+AfBG9605smfCfRiLvH06dPB4cPHw7+7M/+LPj+978fHD9+PHjhC18YXHbZZaFjTOoec0lSL3zhC4NrrrnG/e52u8G+ffuCo0ePTvGq0sWTTz4ZAAjuvffeIAjOvjiVSiX4/Oc/77b53ve+FwAIjh8/Pq3LHApnzpwJLrroouCuu+4K/r//7/9zJDUr93jDDTcEL33pSyPX93q9YO/evcG/+Tf/xi07ffp0UKvVgs997nOTuMRU8KpXvSr4jd/4jdCy17/+9cGRI0eCIJiN+9QNeJJ7+u53vxsACB544AG3zV/+5V8GhUIh+OlPfzqxa08KHxFr3H///QGA4Mc//nEQBJO9x9zJfa1WCw8++CAOHz7slhWLRRw+fBjHjx+f4pWli7W1NQDA7t27AQAPPvgg2u126L4vvvhiHDhwIHf3fc011+BVr3pV6F6A2bnHL33pS7j88svxK7/yK7jgggvw/Oc/H3/8x3/s1j/22GM4efJk6D5XVlZwxRVX5Oo+X/ziF+PYsWP4wQ9+AAD41re+ha997Wt4xSteAWB27lMiyT0dP34cq6uruPzyy902hw8fRrFYxIkTJyZ+zWlgbW0NhUIBq6urACZ7j7lLMPu3f/u36Ha72LNnT2j5nj178P3vf39KV5Uuer0errvuOrzkJS/Bc57zHADAyZMnUa1W3UtC7NmzBydPnpzCVQ6H22+/HQ899BAeeOCBbetm5R5/9KMf4VOf+hSuv/56/Kt/9a/wwAMP4Ld/+7dRrVZx9dVXu3vxvcN5us/3vve9WF9fx8UXX4xSqYRut4sPfOADOHLkCADMzH1KJLmnkydP4oILLgitL5fL2L17dy7vu9Fo4IYbbsCb3vQml2B2kveYO5LaCbjmmmvw7W9/G1/72temfSmp4vHHH8c73/lO3HXXXZibm5v25YwNvV4Pl19+OT74wQ8CAJ7//Ofj29/+Nm699VZcffXVU7669PDnf/7n+OxnP4vbbrsNz372s/Hwww/juuuuw759+2bqPncy2u023vjGNyIIAnzqU5+ayjXkTu572tOehlKptC3i69SpU9i7d++Urio9XHvttbjzzjtxzz334OlPf7pbvnfvXrRaLZw+fTq0fZ7u+8EHH8STTz6Jn//5n0e5XEa5XMa9996Lj33sYyiXy9izZ0/u7xEALrzwQjzrWc8KLbvkkkvwk5/8BADcveT9Hf6d3/kdvPe978VVV12FSy+9FP/8n/9zvOtd78LRo0cBzM59SiS5p7179+LJJ58Mre90Onjqqadydd8kqB//+Me46667QtN0TPIec0dS1WoVl112GY4dO+aW9Xo9HDt2DIcOHZrilY2GIAhw7bXX4otf/CLuvvtuHDx4MLT+sssuQ6VSCd33I488gp/85Ce5ue+Xvexl+Ku/+is8/PDD7nP55ZfjyJEjrpz3ewSAl7zkJduGD/zgBz/AM57xDADAwYMHsXfv3tB9rq+v48SJE7m6z62trW2T1ZVKJTfF+Kzcp0SSezp06BBOnz6NBx980G1z9913o9fr4Yorrpj4NQ8DEtSjjz6K//E//gfOP//80PqJ3mOqYRgTwu233x7UarXgT/7kT4Lvfve7wdve9rZgdXU1OHny5LQvbWj81m/9VrCyshL8z//5P4O//uu/dp+trS23zW/+5m8GBw4cCO6+++7gG9/4RnDo0KHg0KFDU7zq0SGj+4JgNu7x/vvvD8rlcvCBD3wgePTRR4PPfvazwcLCQvBf/+t/ddt86EMfClZXV4O/+Iu/CP7P//k/wWtf+9rMh2ZrXH311cHP/MzPuBD0L3zhC8HTnva04D3veY/bJo/3eebMmeCb3/xm8M1vfjMAEHz0ox8NvvnNb7rItiT39PKXvzx4/vOfH5w4cSL42te+Flx00UWZCkGPu8dWqxW85jWvCZ7+9KcHDz/8cKg9ajab7hiTusdcklQQBMHHP/7x4MCBA0G1Wg1e+MIXBl//+tenfUkjAYD385nPfMZtU6/Xg7e//e3BeeedFywsLAS/9Eu/FPz1X//19C46BWiSmpV7/PKXvxw85znPCWq1WnDxxRcHn/70p0Pre71ecNNNNwV79uwJarVa8LKXvSx45JFHpnS1w2F9fT145zvfGRw4cCCYm5sL/v7f//vB7/7u74Yasjze5z333OOti1dffXUQBMnu6e/+7u+CN73pTcHS0lKwvLwcvPnNbw7OnDkzhbvxI+4eH3vsscj26J577nHHmNQ92lQdBoPBYMgscueTMhgMBsPOgZGUwWAwGDILIymDwWAwZBZGUgaDwWDILIykDAaDwZBZGEkZDAaDIbMwkjIYDAZDZmEkZTAYDIbMwkjKYDAYDJmFkZTBYDAYMgsjKYPBYDBkFkZSBoPBYMgs/n9XAxON0Wm5+AAAAABJRU5ErkJggg==", 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", "text/plain": [ "
" ] @@ -278,7 +308,8 @@ "source": [ "pip.update()\n", "image = pip.resolve()\n", - "plt.imshow(image, cmap=\"gray\");" + "plt.imshow(image, cmap=\"gray\")\n", + "plt.axis('off');" ] }, { @@ -286,32 +317,35 @@ "id": "2339005e", "metadata": {}, "source": [ - "## 2. Simulating Chains of Streptobacilli\n", - "Streptobacilli are bacteria that form chains of bacilli. This can be modeled by arranging multiple bacilli end-to-end. The class below allows both the individual rods and the entire chain to bend slightly." + "## 2. Simulating Chains of Bacilli\n", + "\n", + "In addition to single bacilli, we can also model chains of bacteria, arranging multiple rods end-to-end to represent either dividing cells or naturally chain-forming bacteria such as streptobacilli. The class below allows both the individual rods and the entire chain to bend slightly." ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "id": "112b8964", "metadata": {}, "outputs": [], "source": [ - "class Streptobacillus(VolumeScatterer):\n", + "class ChainBacillus(VolumeScatterer):\n", " __conversion_table__ = ConversionTable(\n", " radius=(u.meter, u.meter),\n", " length=(u.meter, u.meter),\n", " rotation=(u.radian, u.radian),\n", + " chain_bend=(u.radian, u.radian), # an ANGLE (per-joint)\n", " )\n", "\n", " def __init__(\n", " self,\n", - " radius=0.5e-6,\n", + " radius=0.4e-6,\n", " length=2e-6,\n", " n_bacilli=5,\n", " rotation=(0, 0, 0),\n", - " max_chain_bend=0,\n", - " max_bacillus_bend=0,\n", + " chain_bend=0,\n", + " bacillus_bend=0,\n", + " overlap_fraction=0.02,\n", " refractive_index=1.38,\n", " **kwargs\n", " ):\n", @@ -320,8 +354,9 @@ " length=length, # length of each part of the chain\n", " n_bacilli=n_bacilli,\n", " rotation=rotation,\n", - " max_chain_bend=max_chain_bend,\n", - " max_bacillus_bend=max_bacillus_bend,\n", + " chain_bend=chain_bend,\n", + " bacillus_bend=bacillus_bend,\n", + " overlap_fraction=overlap_fraction,\n", " refractive_index=refractive_index,\n", " **kwargs\n", " )\n", @@ -329,15 +364,12 @@ " def _process_properties(self, properties):\n", " properties = super()._process_properties(properties)\n", "\n", - " # Ensure radius iis scalar\n", + " # Ensure radius is scalar\n", " radius = np.array(properties[\"radius\"])\n", " if radius.size > 1:\n", " radius = radius[0]\n", " properties[\"radius\"] = float(radius)\n", "\n", - " # # Ensure length is scalar\n", - " # properties[\"length\"] = float(properties[\"length\"])\n", - "\n", " # Ensure length is float or iterable of floats\n", " length = properties[\"length\"]\n", " if np.ndim(length) == 0:\n", @@ -367,8 +399,9 @@ " length,\n", " n_bacilli,\n", " rotation,\n", - " max_chain_bend,\n", - " max_bacillus_bend,\n", + " chain_bend,\n", + " bacillus_bend,\n", + " overlap_fraction,\n", " voxel_size,\n", " **kwargs\n", " ):\n", @@ -386,7 +419,7 @@ " z = np.arange(-ceil, ceil) * voxel_size[2]\n", " Y, X, Z = np.meshgrid(y, x, z)\n", "\n", - " # Rotate the grid\n", + " # Base 3D rotation of the whole chain\n", " cos = np.cos(rotation)\n", " sin = np.sin(rotation)\n", " XR = (\n", @@ -401,56 +434,88 @@ " )\n", " ZR = (-sin[1] * X) + cos[1] * sin[2] * Y + cos[1] * cos[2] * Z\n", "\n", - " shift = length + 2 * radius\n", - " total_length = n_bacilli * (length + 2 * radius)\n", + " # Consecutive segments are spaced slightly CLOSER than exact\n", + " # end-to-end tangency, since two capsules that only just touch meet\n", + " # at a single, measure-zero point that often falls between sampled\n", + " # voxels on a discrete grid, rendering as a visible gap.\n", + " capsule_half_length = length / 2 + radius\n", + " place_half_length = capsule_half_length * (1 - overlap_fraction)\n", + "\n", + " # True hinge construction: each segment's center sits exactly\n", + " # `place_half_length` from a SHARED pivot point, along its OWN\n", + " # heading -- so consecutive rods pivot around a common joint rather\n", + " # than being offset sideways from each other. Heading itself is a\n", + " # random walk, bounded by +/- chain_bend per joint.\n", + " heading = 0.0\n", + " headings = [heading]\n", + " hinge = np.array([0.0, 0.0])\n", + " direction = np.array([np.sin(heading), np.cos(heading)])\n", + " center = hinge + place_half_length * direction\n", + " centers = [center]\n", + " hinge = (\n", + " center + place_half_length * direction\n", + " ) # this segment's far end\n", + "\n", + " for i in range(1, n_bacilli):\n", + " heading += chain_bend\n", + " headings.append(heading)\n", + " direction = np.array([np.sin(heading), np.cos(heading)])\n", + " center = hinge + place_half_length * direction\n", + " centers.append(center)\n", + " hinge = center + place_half_length * direction # next joint\n", + "\n", + " centers = np.array(centers)\n", + " mean_xy = centers.mean(axis=0)\n", + "\n", + " shell = np.zeros_like(XR, dtype=bool)\n", + " for (cx, cy), seg_heading in zip(centers, headings):\n", + " dx = XR - (cx - mean_xy[0])\n", + " dy = YR - (cy - mean_xy[1])\n", + " local_x = dx * np.cos(seg_heading) - dy * np.sin(seg_heading)\n", + " local_y = dx * np.sin(seg_heading) + dy * np.cos(seg_heading)\n", + " local_z = ZR\n", + "\n", + " lateral_offset_x = bacillus_bend * np.cos(np.pi * local_y / length)\n", + " local_x = local_x - lateral_offset_x\n", "\n", - " mask = np.zeros_like(XR, dtype=bool)\n", - "\n", - " for i in range(n_bacilli):\n", - " # Chain-level bending offsets\n", - " bend_chain_x = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", - " bend_chain_z = (np.random.rand() - 0.5) * 2 * max_chain_bend\n", - "\n", - " # Shift chain along Y and apply chain bending\n", - " YR_shifted = YR - i * shift + total_length / 2 - shift / 2\n", - " XR_shifted = XR - bend_chain_x\n", - " ZR_shifted = ZR - bend_chain_z\n", - "\n", - " # Wave-like bending along the lenght of the bacillus\n", - " bend_amp_x = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " bend_amp_z = (np.random.rand() - 0.5) * 2 * max_bacillus_bend\n", - " lateral_offset_x = bend_amp_x * np.cos(np.pi * YR_shifted / length)\n", - " lateral_offset_z = bend_amp_z * np.cos(np.pi * YR_shifted / length)\n", - " XR_shifted -= lateral_offset_x\n", - " ZR_shifted -= lateral_offset_z\n", - "\n", - " # Cylinder mask\n", " cyl_mask = (\n", - " (XR_shifted**2 / radius**2 + ZR_shifted**2 / radius**2) < 1\n", - " ) & (np.abs(YR_shifted) < length / 2)\n", + " (local_x**2 / radius**2 + local_z**2 / radius**2) < 1\n", + " ) & (np.abs(local_y) < length / 2)\n", "\n", - " # Hemispherical caps\n", " cap_mask = (\n", - " XR_shifted**2\n", - " + ZR_shifted**2\n", - " + (np.abs(YR_shifted) - length / 2) ** 2\n", + " local_x**2 + local_z**2 + (np.abs(local_y) - length / 2) ** 2\n", " ) < radius**2\n", "\n", - " # Combine the cylinder with the end-caps\n", - " mask |= cyl_mask | cap_mask\n", + " mask0 = cyl_mask | cap_mask\n", "\n", - " return mask.astype(float)" + " inner_radius = radius * 0.6\n", + " inner_length = length * 0.9\n", + "\n", + " cyl_mask_in = (\n", + " (local_x**2 / inner_radius**2 + local_z**2 / inner_radius**2)\n", + " < 1\n", + " ) & (np.abs(local_y) < (inner_length / 2))\n", + " cap_mask_in = (\n", + " local_x**2\n", + " + local_z**2\n", + " + (np.abs(local_y) - (inner_length / 2)) ** 2\n", + " ) < inner_radius**2\n", + " mask_in = cyl_mask_in | cap_mask_in\n", + "\n", + " shell |= mask0 & ~mask_in\n", + "\n", + " return shell.astype(float)" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 12, "id": "015a12a6", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -460,15 +525,27 @@ } ], "source": [ - "strepto = Streptobacillus(position=(128, 128))\n", + "max_chain_bend = np.pi / 10\n", + "max_bacillus_bend2 = 1e-7\n", + "\n", + "chain_bacillus = ChainBacillus(\n", + " position=(image_size // 2, image_size // 2),\n", + " length=lambda: np.random.uniform(1.4e-6, 1.8e-6),\n", + " n_bacilli=2,\n", + " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", + " chain_bend=lambda: (np.random.rand() - 0.5) * 2 * (max_chain_bend),\n", + " bacillus_bend=lambda: (np.random.rand() - 0.5) * 2 * max_bacillus_bend2,\n", + " refractive_index=lambda: np.random.uniform(1.38, 1.42),\n", + ")\n", "\n", - "optics = dt.Fluorescence(output_region=(0, 0, 256, 256))\n", + "optics = dt.Fluorescence(output_region=(0, 0, image_size, image_size))\n", "\n", - "pip = optics(strepto)\n", + "pip = optics(chain_bacillus)\n", "\n", "pip.update()\n", "image = pip.resolve()\n", - "plt.imshow(image, cmap=\"gray\");" + "plt.imshow(image, cmap=\"gray\")\n", + "plt.axis('off');" ] }, { @@ -476,38 +553,44 @@ "id": "29702ffb", "metadata": {}, "source": [ - "By adjusting the number of bacilli, their length, and the bending parameters, it is possible to create different chain morphologies. This is one way to mimic the diversity that may appear in experiments." + "The two-segment chain above could represent a pair of dividing cells that have not yet fully separated. Increasing the number of bacilli per chain, and placing several such chains at random positions, instead produces longer, streptobacilli-like chains, as shown below." ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 15, "id": "43ed1a82", "metadata": {}, "outputs": [], "source": [ - "strepto = Streptobacillus(\n", - " position=lambda: np.random.uniform(50, 206, 2),\n", - " n_bacilli=lambda: np.random.randint(3, 6),\n", - " max_chain_bend=0.15e-6,\n", - " max_bacillus_bend=0.15e-6,\n", + "image_size_big = 256\n", + "\n", + "max_chain_bend2 = np.pi / 25\n", + "\n", + "chain_bacillus = ChainBacillus(\n", + " position=lambda: np.random.uniform(25, image_size_big - 25, 2),\n", + " n_bacilli=lambda: np.random.randint(4, 10),\n", + " chain_bend=lambda: (np.random.rand() - 0.5) * 2 * (max_chain_bend),\n", + " bacillus_bend=lambda: (np.random.rand() - 0.5) * 2 * max_bacillus_bend2,\n", + " refractive_index=lambda: np.random.uniform(1.38, 1.42),\n", " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", + " overlap_fraction=0,\n", ")\n", "\n", - "optics = dt.Fluorescence(output_region=(0, 0, 256, 256))\n", + "optics = dt.Fluorescence(output_region=(0, 0, image_size_big, image_size_big))\n", "\n", - "pip = optics(strepto ^ 2)" + "pip = optics(chain_bacillus ^ 2)" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 16, "id": "6c2712ef", "metadata": {}, "outputs": [ { "data": { - "image/png": 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/Hr4n0nooXKTtlEtdmdu/V9sC3jrHZTev5WQBq1e0rMYX62PVKmKYlvdQKIRQKKRLOMnCYjN1Kz8cFhYW9LyVOac1OzurRSyRSOgUoekotM5HlsOp3yFpHhQuUpVa57canQczqyPIa5gDq6QHzWoK5VKF0ipVy6jFGr9WqNfsYh4rZ3u31oPs6+tDf38/+vv7EY1GdVWMTZs2YXh4WC8sDgaDJUWOBTFhLCws6LmsZDKJ6elpXLp0STsJJycn9R5cyWRSLxCXFGGlHxpr/XsiqwuFi6wKtYhaNXEx79tZ4WXtVrmFrU77Fb9S0TKP2S3uFiNGf3+/trZHIhEtXJFIBOFwWIuaNT0oqVpxDWYyGZ0STCQSmJqawuTkpJ7jmp+fRyaT0eW4aq1qsha/G9JeKFxkTWBXtd1qaTfFyiz1ZDbrL/hy67fWOisRLfO+nYCJIaO7uxter1dHXGK6EMu7bEsiNQplPR3w3vcj1zuXyyGTySCVSiEej+t5LEkTJpNJJBIJZDIZ5HK5sqJVi4vQaT8+SGugcJGWUW/q0Fp3UOZNrGlAt9utjQDiYDP33zLFq5Z1XGuNlYpWOQEzHYTmfJZY3cPhMEZHRzE4OKgrYgQCAfT09KCnp0eLFgAsLi5qEZJUYDKZRCwWQywWw9zcHGZmZjA1NYV0Oq3dg2ZEXMs8pBO+L7L6ULjImsGMqGRglHVA6XS6pH5hsVhEPp8vKR0k4mUuZnWSq7AWoa9FtKrNa3k8Hi1aoVAIg4ODGBwcRCQSwdDQECKRCPx+vzZjSMkt8/vJZDK6SRWMeDyOiYkJxGIxJJNJXSkjm81qkbMzYayX9XVk9aBwkTWB1XAha7LMHY3N9UYiXPKYmAPMGoVm3Tvre1Xry2rTLNEyb1eqQyiLjMX+bjZJD/b09OhtZMQUY/1RkUwmS9KD8jeVSiGVSpUsLi4nWrVWNKGgEYHCRdqODFzmnJUMjF6vF4lEAl6vV59vCpdpr5Z1Qdaad+WMHmuFZoqWnWDZpQl9Pp+ujCHrtQYGBvTcllkRA3h/TiufzyObzSKRSOhrLyaMeDyOyclJzM7OaudgJpO5LHVrJ1or/V7W0vdJWg+Fi1Sk1VZ4wYy2ZM4qlUrB7XZjfn4ebrdbz3F1dXXpOa6pqSm9Tkh+6ZuLWiuZM9o92DVDsMz75UTLLtqSSMtcryWLjKXCu1TEkB8T8sMgmUxiampKpwIvXryoU4XyVyLhfD5fUsWkVtFitEUqQeEiawbT5m6WcJLoyxx85de/zH+l02nkcjn9vEoV4e3ed7VpVLTszilXHcN6TK6dOApl0bHX64XX69WpQbOgsYiORFqpVArJZFLb282iuVINw3QOyvMrCRZA+zupDwoXaQmNRGDW9VnmHFculytZlCyRWTKZ1ItaZY1QtXJPKxkYZa5nJTQ7NVjur7USSTnhkmbuWtzZ2VkypyWilUgktGNQiuZK5GX+gCi3LKGR72ItzkmS9kLhIi2nWh098761cgbw/kJXGUSB99JX2WxWO9tMR2G9EddqsZK0a6X5LPN2udJZ5sackgaU6Eqqk1h3K15eXkY6ncbCwgLi8bgujDszM4MLFy7oCu+Tk5M6jShp2krpQaB8VQymCEktULhIWVY6b1Xu9SqtMzJLEUllB9kKXirFF4tFPcgKa33AW03RkjSfufmm7Jclf810oPwwkI04i8UiXC4XFhcXL6s7KBGWpAjNYrnW9OBKRasW1tr3TFYHChdZMfUIXLmUlnWdkTWNZaayxOJuWrWr9aFW11orBsLVFi1rWlB+CJjbkEiUJW5OWegtqVbgvUXG4taU+SwzNZhIJJBIJC4rlms3pyXUI1oUJVIOChdpK6ZoyeDq8/lKNiyUSg5erxcej0dvCd/Z2YlMJqMH3J6eHn28s7MTy8vLJe/VrIGw1nmulToya5m/AlBSRd8UK4lU5UeAWNyl7qAIl+ydpdR7uxZLFCYpwmQyiZmZGVy8eLGkYK5EYzKnVU60Gom01qqphqwNKFxkVSgXTZiOt+7ubvT29sLn85VYtcWmLRGDbJ9hClc2m9WPLyws6MG82elOs+/lBs5GItByx2qNskSsPR6PFiuzxqDsVuzxeLSAeTweuFwuLCwsAHivyns2m9VRmKQI0+k0ZmdndfHc+fn5yxYXV7K7A/VVeqcgkWpQuIgtrRzwrYJindsyF8hKaSK/368jiEKhoOe6fD4fMpmMtnKb8zcdHR2XRV3N/ixA6bYsjTy/3LF6RMuMsqTJTsZerxc+nw+9vb36+kr06nK5dGqwUCggk8loI4wsNJadjEWw7Oa0qi32Lidajc5NUtw2NhQusiJqHXztzjXnZGTQ9Xq9ulJ5OBzWBWCl2KssRO7p6UFHRweSyaResNzb24tMJqOrmDcScTVid29E5OsVLbs5QTPFKlFWX1+fbrL5o9frhd/vL9mWRMwtSimdajUNGouLi7qkkwjY7OysXlOXzWb1wuRG0oN292uFokUoXGTVqZTmklSh7AHl9/v1bVlj1NXVpSOF3t5eW9NBqyLGZtCIaFmbuAXdbre+Br29vQiHw/qaDQ0N6UK5ErGKoEsF/nw+j1QqpdfKmWWzpMCxuW2JrK2rlh60ilUtosV5LVIrFC7ScmqJuswCuuUchWKHl4WxImKmWFlt8muNRiMt85iZGjTnrHw+n46yAoEAIpEIgsGg/iEgUSoAneoTIZB5Q3EJ5nK5knksEbZG6g42S7QIEShcpKlUShPa3TfnaNxud0kZIhmQTeGSeSsZuM1FtiZrca6kFtGq5Bw006qSHhQHptQejEajCIVCCAaDGBoaKhEuqT2olNJzVbJmSwobS3WMbDZ7WRkt68JiWZZQqYRTM0WL4kYEChe5jJXauGt5Xrn1W9baeWakZc5bSRkhs6qG3F6LG0fWKlqVTBhmlCWmi0AgoDd8DIVCGBkZ0VHX4OCgntsyK71bLe8u13s1CWVeS0QtnU7rtVnSzOtuncdipEVWCwoXWVWsg7U14jJLE8lta0kiGSSlNJGsIZJmHVjbTT0GFrlvJ+5yPaS6e19fnzaxmGaWYDCoN4Ls6+vT6daOjg4dYcm8ory3eS2trVwlDKB20bKjnu9nrXyXZG1A4SItoVI0Zh2UzWhC5rgkyjJTgsD7hXjNvbusoiWRQaXBbrUGwkbTg3bXx3QOijANDAxgaGgIoVAI4XAYQ0ND8Pv9WtRkHVd3dzcA6GtkGljM6ymGDREtc0NOa2rQ7rb5V2CkRZoNhYs0jXKDdDmjgVWwrGYMcwdeU7isJYqkWXfabXe6cKWiZdYa9Hq9ehGxCFQwGMTg4CBGR0cRDAYRCoUQiUT0mi1JD4oLUyInc7sYaXL98vm8FjDrfFY5kapUBaMZokWRI1YoXKSEVtvIy0UTYsyQ6MA6ryWIaMngahoHrKnCWvvTioGx3vVt1usilndJD0qppr6+Pl1NRMphyTq3QCCgbe/m9iQAtGDJNjFSrsncisTcEqZakVzzr9CsdVrNfg2y/qBwkbZhtXZbRcsqXNa5LVO0FhcXbffhasfA14x1WmYlEUkP9vf3axOGzGVFIpGStVt9fX16Abbb7S65XqZopVIp3WQ7Eom6rPOE1oiq0Tmtes4jpBIULtIQtURm1eZuZHA1yxDZ7cYrUZGs35JUlwzE1kHXFK/VZqWiJaYJibKkSWQlzkFJD0plEXPpgIh9sVjUc1XZbLak0vvExATm5uYwPT2NqakpzM/P6yok8iOgXBmnRtKDlY6XgyJHytH01Zrf+MY3LvvPeN111+nHFxYWsG/fPgwMDKCvrw933303Jicnm90NssrUk2IsJ16ybYm5Z5Q5v2U632Q+RowE1lShE0XLNGFIvUa/36/dgkNDQxgcHMTw8HCJkElNwp6eHi30IlpS9UL205qZmcHU1BQmJycxNTWFmZkZXQE+nU5fVn+wkmABFC3SHlpSZuCjH/0oJiYmdHv11Vf1Y1/+8pfxs5/9DC+88AKOHz+OS5cu4a677mpFN0idNGt+q5LVW45Z3YSmDV6Ey6yIYU0T2lm3TTdhuZRWvf2v9fxGRMt6PaybaIpw+f1+7RocGBjQ9ndJD0rBXLfbrbcqWVpa0lGprM0y99SSJoVzM5lMXXtq1XNNKVqk2bQkVdjV1YVoNHrZ8UQigf/4j//Af/3Xf+Gv//qvAQDPPvssPvKRj+C1117DX/7lX7aiO6TJNCJw5dJiZrUMs5nzXCJcEkXInJadm9AcdK20Ys6r3LWoJGRWETMjT0mV9vX1YWBgQJswNm3ahOHhYYRCIQwPD2NgYAA+n0+v0xKBN6+PVMFIpVKYmZnB5OQk4vE4ZmZmcOnSJaRSKR2JmVuUWM0ZdtevVrcgRYi0gpZEXG+//TZGR0dx9dVXY+/evTh//jwA4NSpUygUCtixY4c+97rrrsNVV12F8fHxVnSFtIlKDjrrVhySJjSrZUgEZm4vb24xL4OzmTK0pgnrWVdUqf92j5WLsuyea7W9m8dMV6UsLA4EAgiHwxgeHkY0GsXIyAhGRkYwPDyMoaEhbcbw+XzweDw6lSoGjEwmo6u5S1rw4sWLuHTpkm7T09M6TZhOp0vmCM1oS65XJdEv91gjokWhI7XQ9Ihr+/bteO6553DttddiYmICTz/9ND7xiU/gjTfeQCwWQ3d3N4LBYMlzhoeHEYvFyr6mDExCMplsdrfJKmIO/OYiY3M/LbMOoSDiZU0Tmi64ZlbNMN2M1mPVnmN3325Oy7q4WLZ18fv9em2WNKmEIfNZ4h4EoBcQ5/N5XWcwkUggHo/rqGpubk4fk+1KstmsNmNY57Wsn11olbhQtEitNF249uzZo2/fcMMN2L59OzZv3owf/ehH8Hq9Db3mwYMH8fTTTzeri6SFlFtga9437d6mq9Bcx2U1ZpjzWxJxSWrLbuAVqg2GK42+Kp1nja6sj1nNGLKHVigUwsDAgDZhhMNhDA4O6oK5kh40tyiR1GkymUQymUQikcDU1BSmp6cxPz+PWCyG6elpJJNJ7SC0blFSrayT3fVipEXaQcv3gAgGg/jwhz+Ms2fPIhqNYnFxEfF4vOScyclJ2zkx4cCBA0gkErpduHChxb0m9VCvNd7cANE6vyXOQnMNl1TLkIhCmiyaNRcgl1vD1eqBsZJomcesqVIpmCvrs4aHh7XdfdOmTRgZGUE0GsXAwACCwaDel0xMGGJ1l/mq6elpXLp0CRcvXsSFCxdw4cIFvPvuu7h06RImJycxPT2t04N2uxiXW7dldw0pWqRdtFy40uk03nnnHYyMjOCmm26C2+3GkSNH9ONnzpzB+fPnMTY2VvY1PB6PdldJI82l0aiinudYK0N0dHRo96BZYNcsAGum6yQqMO3vZoHddhXXrSZa5dawWffTCgQCOj1odQ729vbaOgcXFxd1alCiqXg8rh2Ecl/s7rlcTouVVejlOsvfavNahLSLpqcKv/KVr+COO+7A5s2bcenSJTz11FPo7OzEvffei0AggAceeACPPfaYnmD+4he/iLGxMToKNwh25gwZkM2K8NZq8CJaZsUMazHYatFWKwbbSnNacr/aei0xZEiK0HQTiniJcNmlB6UChjgGZ2dnMTc3h6mpKczNzSGZTCIej+sdjK1Rllk8V/5Wiq6aKWYUQNIITReud999F/feey9mZ2cxODiIv/qrv8Jrr72GwcFBAMC//Mu/oKOjA3fffTfy+Tx27dqFf//3f292N8gqUa+zzm7glm3nTUehmDNkkJZIy0wRyt+FhQVbC3cr7O+VPnctkZZ8dkmRygLjcDiMaDSK0dFRXQ1jcHAQPp9PmzFEyBcXF3Vx3FQqpdN/c3NzePfddzE7O4v5+Xltf5d6hHKdRLRk3rDSfFarFhg3+hxCgBYI1w9+8IOKj/f09ODQoUM4dOhQs9+atJlyA7f1HGvEZaYJTUeh+VwzTWhGXdZUYbUUVzM/p939cguN7Ywp4iKUhcZmodz+/n69WaSZHlxeXtbOQbG9S0pwdnZWR1viJjSt7pXmsoDG1mlVOl4JihZZCaxVSFYFu8jDKl5mYV1rqtDcM8oULdOUUW5ArtavWs9vtDqG3fyWaX8Xi7uIlxTLNStiAO9Xxl9YWNCFck2ru6QJxTVoGjDKXadKVUYoLmStQuEiLTVmmM8z04RmusxceGyWezIrZohgmelBcxsOu+1MarFzr+Rz20WY8tdOvKxlncx6hMFgEMFgUEdd4h50u906XbqwsKCL5U5PT2vL+7vvvqsjrlgspks4yZyWpAdFsOzSqY0s2makRdoFhYusCnbzPDKAm8YMu61MzN15ZZ7LrGJuVzGjGVFDteoZ5f7aNXFKmtGluY2LWWDYjDpFiPP5PDKZDDKZDObm5nRkJdXdxUmYSCTKpgdrXaNF0SJrHQoXWVXKzXHJYF1rYV3TCt9omrBaP6s9ZjeXZ00Llvu8poPSXAIgwu5yubRoFYtFHW2ZKUKxvMt8lqQHVzKnVasZg5B2QuHa4DSa/iv3XLuFt3LfTBVaq8FbK8ID70dbZqUMc6t56469KzVmVLsWdouJ7W6bc3jm/loSZXm93hIXpVlM2KzH6HK5dLSZTCZ1yaZYLIZLly5py/vU1BRSqZQWLrvdoNsZaa3keYTYQeEiNVHPoG4eKzeom+lCu2jDNGSY6UGzlauYAdRnha9FvGtNDVrrD5oFdM3tSsQ1KKWblFJ6/yxJEXZ1dem5vXg8jtnZWcTjccRiMUxOTmJ+fh4zMzOYn5/XdQfNQrl2W5OUuz4ULeIkKFxk1bAO8ABKxMqc1zIXHUt6UITKOrdVqWJGM9KH9aQGzQhL5q2kOobMZUmlDKnuLoVyxYABvJce7Ojo0KI9Pz9fUhUjHo/rLUtkB2i7LUmaJVqNQtEirYDCRZpOrbZxs/I78L7t3ZzTkhShLDg204RmdNGqNVy1iJYIr9jcRbTE0u71euH3+3VqUFyUEn11dXVBKaWL5IrdHYCujiF292QyqQvmylxXJpMpiT6tC4ubIVo0Y5C1BIVrA9NqG3w5zIjKNFyISHV2dqJYLOr1R2JIkAoQlXbrbRbV5rPsHINmJRCp9C5pwVAopNdl9fT0lKRIJeKSzyTvJRGYGXHJppDz8/N6nZZUxLBbhF3O7m69bXe/2vFKULRIK6FwkYYot/DWPGad4wJK6w6awiWiJXtMFYtFHW3I/E02m9VFYkXUGq23V89nqyZa5ro0qXYhYiV7a4XDYZ0uNMs3yTye7O5szk+Z83myVYkp4uXE206wrJ+fokWcDIWLrCoyqJmLik2BktJGXV1dOkWYTCZ1IdlMJqPFyy5NaL5HvZRzQpq3rXNa5nosia76+/sRDAYxNDSkBWxgYKCkwjvwXiWMxcVFZDIZ/VnT6bS+LdGUXAOp7i6bQFbazoXpQbKeoXCRurGLtsz71VKLZvkm2Wpe5mtkmw6Xy6XntWZmZrSLbm5ursSQUM0K32iUZf0sdoLV2dmpCwR7vV4EAgEMDAzoSu+jo6N6q5KBgQF4vV7tNJRIM5VKlWyQKSItOxiLcEnEKSWf7NyD8nmZHiTrHQoXaQrlBMxqgTddhMD7kZcUjpUUoVIKuVwO2Wy2ZF8p67xOtc0P6+17raIl69BkPqu3t1dHVoFAQFd4l6K5oVBIV8bo6OgocUeaa7hErGV/LVO4zLnAStFmO9KDhKwmFC5SkXqMGXZzWlaruGlKkPVaYnnP5XK6+vnS0hIymYwWLmtliGo7HjfyWarN1ZlrtEznoKQHQ6GQFqtIJIKBgQFd6d3v9+vFxi6XS1fAz+Vyl+2xlcvlkMlktEibe49JpGrdlgQoX3fQetvufrXj1aDYkdWEwrVBadQpWM3qbh6z7j/V3d2N3t5e9PX16YroMpgD0BEIAF3eKJ1OY2ZmRqcIJeqSc+324BIaibrsFk2bzsGuri5d+aK3t1dv+hgIBDA8PIxoNIpAIIBwOIxIJAKfz6fXbIlYiZlEqmMopXSqUKJMcw+tajUH7aKtSvN9FC3idChcpGEquQjNAV/MCyJaEoUEAgGdZpMKEpI6FKOCpMzEmCERiLkZ4koX0NqlBwGULIw2iwL39vbC7/fD5/NhYGAAg4ODCAaDGBwcxODgoK72Lmu3enp6dJV3ALZuSmuzLrSuJFrlxIqiRdYrFC6yIspFbmZ6UOaCZCGuNJn/kQW5UikCgB7YrTsd283vCI1EW9XmtEzLu1jZJT0oc1fhcFgbMILBoE4dmi5CKetklrEyF1dbBcusN1itfJP5eSlaZCNA4dqANLrwuJJIlbOKu91u9Pb26j2mzKhEUmxSbWJ5eRm5XE6vyRK7uGkNt0sRNmqFr1YNw5yXkwoYPp8PkUgEoVAIwWAQV1xxBYaGhnTEFQ6H9Xler1e/jpkOzGQyOoo0SznJOi1rVFnvxo8ULbLeoXCRhqgmYma9PkmtyeA+PDysreN+v18bNvL5vJ7visfjJZXiATS1tFMtoiUV3T0ej96V2O/3Y2hoCAMDAwiHwxgZGUEkEtGLjMWEIdUxgPcGebNQsLl31vT0NGZnZ3UBXVmrVamcVTPWaFV7rBIULdJuKFykYewGfQC20YrMb8m6Jvnb399f4rQTO7zdFifyt1p6sNG1WyJadulBWVwsa7TC4TDC4TBCoZCOJqU2oQieIJ9JjBepVAqJRAKJRKKkWK6UshIzRi1zWhQtshGhcBFbKqUJyz1mDvzmdh4+n69kIW4kEkEwGEQ4HIbP59O1+kS4CoWCnhsSJ568RzkHXb0pwnLzWWa0JfNyfX19JfNYEmWFQiGdJhRhlmrvLtf7e2lJdQxZWDwzM4Pp6WnE43FMTk5ienpai5id3b+WtWr1fH6KFnE6FC7SFOychCJakiYMh8M6xRYMBhEKhdDT01NiCc/n8yU7IpuiJaw0RVjNhOF2u7VgSbHcaDSqRXfTpk0lC41FsMwtSmQ9miyslk0gE4kEJiYmMD09jfn5eUxNTelK72Ypp3IRl3z+1VyjtdLnEtJsKFykIayDvhwz96SSuR5Z8yRrt6REkmzzAbznIpRIRYQMKB9NlUsLVhpgK1XIMB2Q0m8ztSmCK6YMcUSKlV/EVqn3q96LaImlPx6PIx6PY25uTi+qjsfjZffUqsXqv9KlALVA0SJrDQrXBqORhceV0oTmcVMAZNNEibp8Pl/JwmNzwJeowkwHinXculFkrYtsa/1cdrZ9c1uSYDCISCSCwcFBvdhYqmPI5zJTmiI6kh4U0ZJF1HNzc5icnMTs7CySyaReWC12fzPSMiver/RzMz1I1hMULnIZtZZGktumKUPSbRJpiaEhGAzqRbmmiUFSa5IqNKvFi1HBGoXYUW2ArTSnZdr2RVwHBgYQjUb1PNamTZsQCoV0WSefz6dFTgwksnBaFk/PzMwgkUhgfn4eFy9e1M7BWCym99OS9KCs66pWf7DeSJPpQbIeoXCRhrBWmbAKgcxxiaPQHOil/JPb7S6JrmSdk3UxbrnKEc3ov51t39yKRByE4h6USh9iHpE1WuIclCruEk2J9V0s72LCSCaTemF1JSNGLa5JpgfJRoPCRVaMNeUmwmXOcYmAyZb1Zt0+Gfil+rm19JFd9QihFmedGW1Z+2v2VYRLag2KYImZRCpimJ8BgO67LJSWLUlkPmt2drak3qIsNJbPWGm9lnyuRoSE6UGyXqFwkZqxs8GbYmB15UnqTdY4SYpQIq7Ozk49YJtV0WVuSGoTytyPNVXYyABrFS3Ztbivrw+Dg4MYGhrSe2mNjIxoY4ZsBCl7akkJJzM9mEql9NzVzMwMLl68qIUrFovp6vaJREKv1apUBUQ+I9ODhJRC4SIVqSRW1mOmMUNShTLYmy5Cc22WDP5mZYlcLqerR5RLo9UrYNa0poisx+PR1nex7Ju2fUkdSnpQoiwR0Xw+rwU2Ho/reazp6WlMTU3pVKHMaZnzdhJFVrK8U7QIuRwKF2kIO7ODmSqUNKH510wRiqFBBm8zRWgWnTVTaY2kzOxE1qzsYQqsaSQRu3t/f7/efsU0k5hV7CVKNEXK3PxSUoN2YlwpymqFOJWDokWcBIWLlFCPXd66fkvShN3d3SWmDIm4zMHf5XLpSulmIV3ZyiSTySCXy11mzihHPVGXKVpmHUXT7i5blYgZQ3YuBqDXaOXzee0aTCaTmJycxMTEhG16MJVKlaQHqy0urtfyzkiLbCQoXKQmal2/ZUZb0uxEyzRkmMIlaUKrFd5qWqgWlVT6HNZahCKyslWJdaNL2UtLxEb6ms1mtfFCbO6xWEynDOfm5vR55jxdvZtBCkwPEvIeFC5SN+UqqpvmDJnnEtu7bMRolnAyLfBifbe6Ca3zW83qv7k7s9lfmfMy+y2Wd6mIISaSdDqt04NmRYxUKqWrYdhtUdJs92CjULSIU6FwkbooVzbJKlxmxGWu2zKrvZsbKppRjBlxVZoLEioNwEop23kuM70pfZZ6g9JXqZUofZV+Ss1BSQ9OTk7qiGt6erpk12ZzF+NGI616jtUKRYs4GQoXKUulCvHmMREBs86fXZpQohfg/WhLxEC2/DAdhWbEVa95odJcXbk5JZlzkyiwUCjo1xLTSCaT0Wuy4vE4Ll26pN2DUjjX/CxiPim3g7FVrJgeJKQ6FC6yIsqlCiX9Vq7SuzXiMlOF1jRhpTmtWgd66zl2QmX2Q9aVyZyciFE6ndaVMGQuS8wZkh6sZuMvZ+enaBFSGxQusiLM+SK7OSOreJkmB1M07Mo81Tu/ZRUDM+qyRljW+bV8Pq/nrsQiXywW9UJjsbynUilMTU1pwZIdjGVbkkwmU7buYD2RVi2fsV4oWmS9QOEimkrOQev9SntZycAvZgfrhpCmcJhrt8y5rXw+X5JiAyoP8uWOyfuZkZ4pWiJGXV1dmJ6ehsvl0vUDvV6vLkslFv1kMomJiQnMz88jkUhgamoKiURCpxHNftdid7fre7MjLQoWWW9QuMiKsTM6mH+ti46B9+e4zKhH5pWs65yAy0WrEQeenC/RnrxvNptFV1cX4vE4urq69Loxc5NLcRFKWScplJtKpUqK5dqJlvn+FC1CVg6Fi9RFpehLNpCUiutmpGWd3xJhMsXKdOBZreOVqMVVaEZdZppSSjZ1dHQgHo+XRFwej0enNmV+K5PJ6B2LZbF0LpereWFxpX5TtAipDQoXaZhyxgzTUm4VLwB6cLfOb5nlnqpVSxfqGZytERcAZLNZLaBLS0tIp9N6I8nu7m64XC4sLy/rQrq5XA7xeFxHWbKXll31etrdCWkNFC6yIkzxknShRF2mYJlpQqujT2zx5iJdU7hMqpkZzONmhGe9LeWjFhcXdUQGvFfOyePx6PShPCbGkXw+r7ckMSPEanNZ9YrWSqBokfUOhYs0jN1OwiJYIlriJLRLE5rCJbfLrXlqBDvBktvA+5HX4uKiFjKJrnK5nBZcu+hQBKvcAumVihbTg4SUh8JFNFYLeSWsVTNMc4YpYLJ+SzDThOZCX7MArXVjRelbI3NEcsyc5zJfU4RH+rOwsKAjRrPf5kLichs/mu/XSGqw0vFaoGiRjQKFi6wI05hhbhdiVskA3o+0AJREWpImNCOvWjdWNKnFwGEnXuYOzEq9tyjaFGPBPM8aEZrvzyiLkNZD4SJlqRaBlSu0Kw5COWa+noiDGeXI7Uppwkopw1oHbjuHoflc6ZeZArX2vZpRpJJxpBVRFiEbEQrXBqOedGCl55spOHOfK7PZzWuJcJkRl+nKs0Y08ny7fpR7rN7+y3uZQlztNSrdrlWwGul/s59PiBOhcJGGqSUKMlNsVkOGdeGx3fqtRgbmcs+xRlmmgNk93ypg1dJ+FCxCVgcKFynBLiKzHrO7L39NwbETLWu0ZW12Nvha0nTWvpT7bIC9Tb7c45Vep9J7UrQIaR0ULrIiTDExxcmMoAqFAjo7OwGgYrRVab+qWvtS63l24lRNsKq9Xy3Po2uQkJVD4dqA1DPPZR3kzdtmNCXuQNkOxNxja2FhAUopXQcwk8nofbfkXNnaXsSuXJRl9qvS/Vo+l1CvYDXyvoyyCGkeFC5SF3amBkn/SWUJKYWUyWTg9XqRyWSwvLyshUsETZrUBrTbCsT63q0YwO1ErNbzm3luK1+DkPUEhYtcRq3zXHYRl1W0ZBfkpaUldHZ2Ynl5WVdaz2QyOtoydzyuJF7y3pXur/Szr5XXoWARYg+Fa4OyElu86RiUOSyp4SeFdvv7+/VjhUIBPT096OrqwvLysq6qLpswxuNxpNNpHXnVsvOxtS9rgbUkeoSsZyhcpCp2a5/kuClesplid3c35ubmoJTSEZTH49HCJRHX3NwcEokEksmkFi5Z02XnHrQK2EqceytZy1bP+7T79QhZj1C4iC3VIjJ53Bp1dXR0wO12Ix6P2wqX7G2VzWb1ZowiWtWK1lrfv1Lfavl8lSi3xqtVULAIqR0K1wamVnEqd1siLgAoFArIZrMl81OpVAp9fX2Ix+Nwu93o7OxEsVjUKcFUKoV4PI5MJqPnu0xrfLkIazXShqslJBQsQuqHwkUqYrfmyRqNmNuDiNjITsKyc7Db7UZHRweUUnr9ljwmTsRyrsJa3IROEgAn9ZWQtQiFa4PTiEnDTszEWSh0dHRgaWlJ719lVosXA4as+apkhW+lg7AdOL3/hKwFKFykoZShNfqSlKGs65J1W11dXchms5dtESJrv8xFx2LKMF/L7q+1b07AKf0kxAlQuAiAlYmXYN3bamlpqaRavPlaZv1Cu6K6tYjWWseJfSbECXRUP6WUEydO4I477sDo6ChcLhd+8pOflDyulMKTTz6JkZEReL1e7NixA2+//XbJOXNzc9i7dy/8fj+CwSAeeOABpNPpFX0Q0l5MF6A1opK6hGaz2+m4XtFaq8LQqgofhJD3qFu4MpkMbrzxRhw6dMj28W9961v4zne+g2eeeQYnT56Ez+fDrl27sLCwoM/Zu3cv3nzzTRw+fBgvvfQSTpw4gYceeqjxT0GaQj0GCDvjhJ14mYuQzYK65bYwqSXCWqvCsFb7Rci6Q60AAOrFF1/U94vFoopGo+rb3/62PhaPx5XH41HPP/+8Ukqpt956SwFQv/71r/U5v/jFL5TL5VIXL16s6X0TiYQCwNai5nK5KraOjo6S1tnZqTo7O1VXV1dJc7vdVZv1OfJanZ2dl71PR0dH1b61urX7u2FjW28tkUjUrT11R1yVOHfuHGKxGHbs2KGPBQIBbN++HePj4wCA8fFxBINB3HzzzfqcHTt2oKOjAydPnmxmd0iDqDqt58om+jLvVzpuPVbpPar1q16s/aulEULaT1PNGbFYDAAwPDxccnx4eFg/FovFMDQ0VNqJri6Ew2F9jhWxVAvJZLKZ3SYNoFT5zSXNAd5uo0br61S6X+5YI1B4CFkfNDXiahUHDx5EIBDQ7corr2x3l9Y9tUQY1kjELjqpJYIpF9E0I8phtETI+qOpwhWNRgEAk5OTJccnJyf1Y9FoFFNTUyWPLy0tYW5uTp9j5cCBA0gkErpduHChmd0mFah1wC8XKTWSfmumYBFC1h9NFa4tW7YgGo3iyJEj+lgymcTJkycxNjYGABgbG0M8HsepU6f0OUePHkWxWMT27dttX9fj8cDv95c0svZYqVhQsAghtVD3HFc6ncbZs2f1/XPnzuH06dMIh8O46qqr8Oijj+Lv//7v8aEPfQhbtmzB17/+dYyOjuLOO+8EAHzkIx/B7t278eCDD+KZZ55BoVDA/v37cc8992B0dLRpH4w0DxGCWktD2QmH3caUzYRiRcgGomb/4f/xyiuv2Foa77vvPqXUe5b4r3/962p4eFh5PB512223qTNnzpS8xuzsrLr33ntVX1+f8vv96v7771epVKrmPtAO377Wbjs67elsbOurNWKHdynlvJ+qyWQSgUCg3d3YsDRrE8ZGceA/WUJIGRKJRN3TP6xVSOpG1Zk6bPb7EkI2NhQu0jCmkLRKxChWhBArjljHRdY+zRYYRXcgIaQMjLhI07AKTSMbVBJCSDUoXKRlUIgIIa2AqUJCCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6ibuE6ceIE7rjjDoyOjsLlcuEnP/lJyeOf//zn4XK5Stru3btLzpmbm8PevXvh9/sRDAbxwAMPIJ1Or+iDEEII2RjULVyZTAY33ngjDh06VPac3bt3Y2JiQrfnn3++5PG9e/fizTffxOHDh/HSSy/hxIkTeOihh+rvPSGEkI2HWgEA1Isvvlhy7L777lOf/vSnyz7nrbfeUgDUr3/9a33sF7/4hXK5XOrixYs1vW8ikVAA2NjY2Ngc3hKJRN3a05I5rmPHjmFoaAjXXnstHnnkEczOzurHxsfHEQwGcfPNN+tjO3bsQEdHB06ePGn7evl8HslksqQRQgjZmDRduHbv3o3//M//xJEjR/BP//RPOH78OPbs2YPl5WUAQCwWw9DQUMlzurq6EA6HEYvFbF/z4MGDCAQCul155ZXN7jYhhBCH0NXsF7znnnv07W3btuGGG27ANddcg2PHjuG2225r6DUPHDiAxx57TN9PJpMUL0II2aC03A5/9dVXIxKJ4OzZswCAaDSKqampknOWlpYwNzeHaDRq+xoejwd+v7+kEUII2Zi0XLjeffddzM7OYmRkBAAwNjaGeDyOU6dO6XOOHj2KYrGI7du3t7o7hBBCHE7dqcJ0Oq2jJwA4d+4cTp8+jXA4jHA4jKeffhp33303otEo3nnnHfzt3/4tPvjBD2LXrl0AgI985CPYvXs3HnzwQTzzzDMoFArYv38/7rnnHoyOjjbvkxFCCFmf1GtDfOWVV2wtjffdd5/KZrNq586danBwULndbrV582b14IMPqlgsVvIas7Oz6t5771V9fX3K7/er+++/X6VSqZr7QDs8Gxsb2/pojdjhXUopBYeRTCYRCATa3Q1CCCErJJFI1O1bYK1CQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIo6hKugwcP4pZbbkF/fz+GhoZw55134syZMyXnLCwsYN++fRgYGEBfXx/uvvtuTE5Olpxz/vx53H777ejt7cXQ0BCeeOIJLC0trfzTEEIIWffUJVzHjx/Hvn378Nprr+Hw4cMoFArYuXMnMpmMPufLX/4yfvazn+GFF17A8ePHcenSJdx111368eXlZdx+++1YXFzEL3/5S3zve9/Dc889hyeffLJ5n4oQQsj6Ra2AqakpBUAdP35cKaVUPB5XbrdbvfDCC/qcP/zhDwqAGh8fV0op9fOf/1x1dHSoWCymz/nud7+r/H6/yufzNb1vIpFQANjY2NjYHN4SiUTd2rOiOa5EIgEACIfDAIBTp06hUChgx44d+pzrrrsOV111FcbHxwEA4+Pj2LZtG4aHh/U5u3btQjKZxJtvvmn7Pvl8HslksqQRQgjZmDQsXMViEY8++ig+/vGPY+vWrQCAWCyG7u5uBIPBknOHh4cRi8X0OaZoyePymB0HDx5EIBDQ7corr2y024QQQhxOw8K1b98+vPHGG/jBD37QzP7YcuDAASQSCd0uXLjQ8vckhBCyNulq5En79+/HSy+9hBMnTuCKK67Qx6PRKBYXFxGPx0uirsnJSUSjUX3Or371q5LXE9ehnGPF4/HA4/E00lVCCCHrjLoiLqUU9u/fjxdffBFHjx7Fli1bSh6/6aab4Ha7ceTIEX3szJkzOH/+PMbGxgAAY2Nj+P3vf4+pqSl9zuHDh+H3+3H99dev5LMQQgjZCNTj5HjkkUdUIBBQx44dUxMTE7pls1l9zsMPP6yuuuoqdfToUfX666+rsbExNTY2ph9fWlpSW7duVTt37lSnT59WL7/8shocHFQHDhyouR90FbKxsbGtj9aIq7Au4Sr3xs8++6w+J5fLqS984QsqFAqp3t5e9ZnPfEZNTEyUvM6f/vQntWfPHuX1elUkElGPP/64KhQKNfeDwsXGxsa2PlojwuX6P0FyFMlkEoFAoN3dIIQQskISiQT8fn9dz2GtQkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKChchBBCHAWFixBCiKOgcBFCCHEUFC5CCCGOgsJFCCHEUVC4CCGEOAoKFyGEEEdB4SKEEOIoKFyEEEIcBYWLEEKIo6BwEUIIcRQULkIIIY6CwkUIIcRRULgIIYQ4CgoXIYQQR0HhIoQQ4igoXIQQQhwFhYsQQoijoHARQghxFBQuQgghjoLCRQghxFFQuAghhDgKChchhBBHQeEihBDiKOoSroMHD+KWW25Bf38/hoaGcOedd+LMmTMl53zqU5+Cy+UqaQ8//HDJOefPn8ftt9+O3t5eDA0N4YknnsDS0tLKPw0hhJB1T1c9Jx8/fhz79u3DLbfcgqWlJXzta1/Dzp078dZbb8Hn8+nzHnzwQXzzm9/U93t7e/Xt5eVl3H777YhGo/jlL3+JiYkJ/M3f/A3cbjf+4R/+oQkfiRBCyLpGrYCpqSkFQB0/flwf++QnP6m+9KUvlX3Oz3/+c9XR0aFisZg+9t3vflf5/X6Vz+dret9EIqEAsLGxsbE5vCUSibq1Z0VzXIlEAgAQDodLjn//+99HJBLB1q1bceDAAWSzWf3Y+Pg4tm3bhuHhYX1s165dSCaTePPNN23fJ5/PI5lMljRCCCEbk7pShSbFYhGPPvooPv7xj2Pr1q36+Oc+9zls3rwZo6Oj+N3vfoevfvWrOHPmDH784x8DAGKxWIloAdD3Y7GY7XsdPHgQTz/9dKNdJYQQso5oWLj27duHN954A6+++mrJ8Yceekjf3rZtG0ZGRnDbbbfhnXfewTXXXNPQex04cACPPfaYvp9MJnHllVc21nFCCCGOpqFU4f79+/HSSy/hlVdewRVXXFHx3O3btwMAzp49CwCIRqOYnJwsOUfuR6NR29fweDzw+/0ljRBCyMakLuFSSmH//v148cUXcfToUWzZsqXqc06fPg0AGBkZAQCMjY3h97//PaampvQ5hw8fht/vx/XXX19PdwghhGxE6nFyPPLIIyoQCKhjx46piYkJ3bLZrFJKqbNnz6pvfvOb6vXXX1fnzp1TP/3pT9XVV1+tbr31Vv0aS0tLauvWrWrnzp3q9OnT6uWXX1aDg4PqwIEDNfeDrkI2Nja29dEacRXWJVzl3vjZZ59VSil1/vx5deutt6pwOKw8Ho/64Ac/qJ544onLOvanP/1J7dmzR3m9XhWJRNTjjz+uCoVCzf2gcLGxsbGtj9aIcLn+T5AcRTKZRCAQaHc3CCGErJBEIlG3b8GRtQodqLWEEEJsaGQ8d6RwpVKpdneBEEJIE2hkPHdkqrBYLOLMmTO4/vrrceHCBdrjbZC1brw+9vD6VIbXpzq8RpWpdn2UUkilUhgdHUVHR30xVMMLkNtJR0cHNm3aBABc11UFXp/K8PpUhtenOrxGlal0fRr1KjgyVUgIIWTjQuEihBDiKBwrXB6PB0899RQ8Hk+7u7Im4fWpDK9PZXh9qsNrVJlWXh9HmjMIIYRsXBwbcRFCCNmYULgIIYQ4CgoXIYQQR0HhIoQQ4igcKVyHDh3CBz7wAfT09GD79u341a9+1e4utYVvfOMbcLlcJe26667Tjy8sLGDfvn0YGBhAX18f7r777ss28VxvnDhxAnfccQdGR0fhcrnwk5/8pORxpRSefPJJjIyMwOv1YseOHXj77bdLzpmbm8PevXvh9/sRDAbxwAMPIJ1Or+KnaB3Vrs/nP//5y/5N7d69u+Sc9Xp9Dh48iFtuuQX9/f0YGhrCnXfeiTNnzpScU8v/qfPnz+P2229Hb28vhoaG8MQTT2BpaWk1P0rLqOUafepTn7rs39DDDz9ccs5Kr5HjhOuHP/whHnvsMTz11FP4zW9+gxtvvBG7du0q2ZhyI/HRj34UExMTur366qv6sS9/+cv42c9+hhdeeAHHjx/HpUuXcNddd7Wxt60nk8ngxhtvxKFDh2wf/9a3voXvfOc7eOaZZ3Dy5En4fD7s2rULCwsL+py9e/fizTffxOHDh/HSSy/hxIkTeOihh1brI7SUatcHAHbv3l3yb+r5558veXy9Xp/jx49j3759eO2113D48GEUCgXs3LkTmUxGn1Pt/9Ty8jJuv/12LC4u4pe//CW+973v4bnnnsOTTz7Zjo/UdGq5RgDw4IMPlvwb+ta3vqUfa8o1qnsjlDbzsY99TO3bt0/fX15eVqOjo+rgwYNt7FV7eOqpp9SNN95o+1g8Hldut1u98MIL+tgf/vAHBUCNj4+vUg/bCwD14osv6vvFYlFFo1H17W9/Wx+Lx+PK4/Go559/Ximl1FtvvaUAqF//+tf6nF/84hfK5XKpixcvrlrfVwPr9VFKqfvuu099+tOfLvucjXR9pqamFAB1/PhxpVRt/6d+/vOfq46ODhWLxfQ53/3ud5Xf71f5fH51P8AqYL1GSin1yU9+Un3pS18q+5xmXCNHRVyLi4s4deoUduzYoY91dHRgx44dGB8fb2PP2sfbb7+N0dFRXH311di7dy/Onz8PADh16hQKhULJtbruuutw1VVXbdhrde7cOcRisZJrEggEsH37dn1NxsfHEQwGcfPNN+tzduzYgY6ODpw8eXLV+9wOjh07hqGhIVx77bV45JFHMDs7qx/bSNcnkUgAAMLhMIDa/k+Nj49j27ZtGB4e1ufs2rULyWQSb7755ir2fnWwXiPh+9//PiKRCLZu3YoDBw4gm83qx5pxjRxVZHdmZgbLy8slHxgAhoeH8cc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", 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" ] @@ -519,30 +602,30 @@ "source": [ "pip.update()\n", "image = pip.resolve()\n", - "plt.imshow(image, cmap=\"gray\");" + "plt.imshow(image, cmap=\"gray\")\n", + "plt.axis('off');" ] }, { "cell_type": "markdown", - "id": "81954cf7", + "id": "77decb78", "metadata": {}, "source": [ - "## 3. Simulating Spherical Streptococci\n", + "## 3. Simulating Chains of Spherical Cells\n", "\n", - "Streptococci are spherical bacteria that typically grow in chains. A simple way to describe them is as a series of spheres arranged along an axis. The example `Streptococcus` class implements this approach, and also allows the chain to bend smoothly." + "In addition to rod-shaped chains, we can also model spherical cells arranged in chains, describing each cell as a sphere placed along an axis. The example `SphericalChain` class implements this approach, and also allows the chain to bend smoothly." ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 17, "id": "6cd544ec", "metadata": {}, "outputs": [], "source": [ - "class Streptococcus(VolumeScatterer):\n", + "class SphericalChain(VolumeScatterer):\n", " __conversion_table__ = ConversionTable(\n", " radius=(u.meter, u.meter),\n", - " length=(u.meter, u.meter),\n", " rotation=(u.radian, u.radian),\n", " )\n", "\n", @@ -567,13 +650,13 @@ " def _process_properties(self, properties):\n", " properties = super()._process_properties(properties)\n", "\n", - " # Ensure radius iis scalar\n", + " # Ensure radius is scalar\n", " radius = np.array(properties[\"radius\"])\n", " if radius.size > 1:\n", " radius = radius[0]\n", " properties[\"radius\"] = float(radius)\n", "\n", - " # Ensure n_bacilli is int\n", + " # Ensure n_coccus is int\n", " properties[\"n_coccus\"] = int(properties.get(\"n_coccus\"))\n", "\n", " # Ensure rotation is 3 values\n", @@ -627,8 +710,6 @@ " shift = 2 * radius\n", " total_length = n_coccus * 2 * radius\n", "\n", - " mask = np.zeros_like(XR, dtype=bool)\n", - "\n", " # Generate smooth random offsets along the chain\n", " bend_x_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", " bend_z_offsets = (np.random.rand(n_coccus) - 0.5) * 2 * max_chain_bend\n", @@ -642,8 +723,7 @@ " 0.7 * bend_z_offsets[i - 1] + 0.3 * bend_z_offsets[i]\n", " )\n", "\n", - " shift = 2 * radius\n", - " total_length = n_coccus * shift\n", + " shell = np.zeros_like(XR, dtype=bool)\n", "\n", " for i in range(n_coccus):\n", " # Shift along Y and add realistic random bend\n", @@ -651,23 +731,37 @@ " XR_shifted = XR - bend_x_offsets[i]\n", " ZR_shifted = ZR - bend_z_offsets[i]\n", "\n", - " coccus_mask = (\n", - " XR_shifted**2 + YR_shifted**2 + ZR_shifted**2\n", - " ) < radius**2\n", - " mask |= coccus_mask\n", + " dist_sq = XR_shifted**2 + YR_shifted**2 + ZR_shifted**2\n", + " coccus_mask = dist_sq < radius**2\n", + "\n", + " # Hollow out an inner sphere to leave only the cell envelope (shell)\n", + " inner_radius = radius * 0.6\n", + " coccus_mask_in = dist_sq < inner_radius**2\n", "\n", - " return mask.astype(float)" + " shell |= coccus_mask & ~coccus_mask_in\n", + "\n", + " return shell.astype(float)" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 18, "id": "8237d583", "metadata": {}, "outputs": [ { "data": { - "image/png": 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EN2KzoVVVVeW1acPL1kkkEjp37pzi8bgCgYAkKZVKFdyrk4pPFiHAMJcILix4E43Cxt/bqqys9MKrvr5eS5cu9UZewWDQu9w3ODioqqoqJRIJb4Qi/Wn0E4lEVFNTo3A4rHA4XBBcyWRSw8PDqqio0NDQkHfJ0IZIXV2dlixZourqai9I7L2leDyuYDDobZ8flpFIRLW1taqrq/Pa9Pv9ymQyGh4e9rYJBALeJcdAIOCNtpYsWaKamhpvZGkvZ1ZXV8vn86m8vFy5XE7JZNK7/JjNZqf8LBeBhtlCcGHBmMqrlOzPNrTs5b1IJKLLLrtM0WhUzc3NCoVCCoVCBcF17tw5DQ4OamhoSJWVlcpkMpKkQCCgSCSiUCjkjdjsBA97iTCRSHhtpVIppdNpBYNBVVVVKRQKqbGx0QvLQCCgsbExZTIZnTt3TjU1NYrH416bdjLIkiVLFAqFFA6HvTb9fr/S6bSGhoaUSCRUVVWlqqoq73JlsTarq6u9UEylUjp37px3CXVsbEzDw8PeRI9MJlN0ujzhhPlAcGFRGB9Y+aMtO5HCXiJcunSpmpubtWzZMoXDYV122WWqrKxULpdTJpNROBzWwMBAQYhIfwquJUuWKBwOa8mSJWpoaFAgEFB5ebkXIkNDQwoGg6qrq1MymfSCy4Zmc3Oz6urqVFdXp8rKSu8+VX9/v2praxWPx1VbW6tUKiWfz6dgMKiGhgavn7bNsrIypdNpL2Dt/a9UKuUFlx0ZNjU1KRwOq6amRoFAQJlMRqlUSmfPnvWCK5vNamhoyBuN2Ykj9jzyNg3MJ4ILi9r4UZf9gK+rq1MoFFIkElEkElFVVZV3v8lOmJDkTX6Q5AWSHf1EIhFvkoX9sPf5fN4lN7u8srJS1dXV3uguHA6fF1yjo6NeQNpLfbbN/PYikYgXlqlUStKf7uPlX5a0wWXviUUikaLBlc1mFYvFNDIy4l26tPu+2EPWwFwiuLBo5U+DLy8v9+77VFdXe/eMbCjY4MpkMspkMt4zUalUSoFAQMYYL0TsNuFw2AsuOzVekoaHh73JFXa0Z4MrHA57+6iqqlI2m/XuS9nLc5lMRhUVFfL5fAoEAt6lRbt9MBj0Rkp21GNHdzbQ7GQOe4x2UkowGFQ6nfbuh9XW1mp4eNibLZn/nBnBhVIhuLAojb90mP9ck53IEAwGFQwGvSnxY2Nj8vv9qqys9Nblh0P+Nvnb2geRbejZ7e00+mLb2GJHafnr8tu0y2yw2N/LysoK1tuSv9349uzPkgr6ZZ9Ly3+byPi3ewDzieDCojf+tUj5b8Wws/rszLr85flvs7APINsZd/nbSvJ+Hr++WLHrL1bf5/Odt03+Gy7GL5tsm+OP314aHf/aKKBUCC4sSsVeJJv/gW0vzdl7WPYhYnvpzs7Os3Ukec9O5W8nqeDh4/ztbLGjPTvL0L6xwu7PLhtfrPx92+V2ckaxYmck2kcA7PKKigpvf+OPMf9NH/nPbxFgKAWCC4tW/nsA7QPCiURCsVhMAwMDqq2t9YLMzirMZrM6e/aszp07p1gspv7+fu91SJWVlV7Y2P3bh3rtvuPxuLe9fRNGMBj03sBh7y2NjIyoqqqqYFbh2bNnvb7lzyq0oWpHfnZWYSqV0uDgoBKJhPr7+9Xf3++Fow2s/DaTyeR5swoHBga8mYkjIyPeRBHbFlAKBBcWhYm+CNEGl31YNx6Pq6KiQmfPnlUgENDIyIg3OSGXy3lTzAcHB70Qyn8Y2D5obEdA+dPh7dsv+vr6dO7cOW9qup0UYkdLiUTCmyhh+9bf369z585paGhIAwMDBVPwx8bGlEwmvVDKf44rHo8rkUjoj3/8o9emDa7h4WFv5mEikfBmDtrgGhgYUF9fn/r7+xWLxTQ8PKyRkZGCl+0W+9oVYK4RXFiU7Ids/ojLvpOvvLxcNTU1CgaD3oe4nTlo35wRi8UUj8c1ODjovb/PTlHPv0+U/wDy8PCwN/qJxWLnPYBsX35rwzI/uAYHB73gsm3ay322TXscNrgymYxisZiSyaT6+/s1ODhY8ACynfJu27SvmbKXJ8+dO6eBgQHvWG0g57/ZPv9cFju/wFwguLBg5I+qJlo+/mcbMPmhZYMolUqppqbGe77Jhpx9G4UdodkP8kAg4I1czp07p/7+fu+t6/ZS5PDwsHf5zt4/srMR7XL7lgs7mrKvfLLhYd9VaIMrmUx6z57ZNv1+v/e+wZGREe9ynw0e+5qpmpoaDQ0NeUFtX/mUyWQ0NDSk/v5+DQ0N6dy5c977Ge1b5if6kklgrhFcWDQmulxov7MqmUxKkvfhPjw87E01t9PL7Tv77KW54eHhgncVJhIJ71mwmpoab/q4DQMbkCMjI1479hmyqqoq780a9t6YvXdl33No70WNb9OGnW3Tzji0b5MfHh72tstvs7Ky0nuJrn3+y9axIZlMJr2gts+UjZ9dOJlLhoQaZgvBhUUnP7TsfS5J3gy//Htf+W+LsMvzZ92lUqmCL3XMD4tkMul9xUj+jMT8SQ75X2ti95n/oK8dFdp95rdpn6Oybdpws8Flt7NfUWJ/HhsbK2jTjvrsg9i2jt1nftv5EzMIIpQKwYUF5WKXC8evt2Fk30iR/xLZVCpV8KWOtr4dKeU/MyXJmxCR/+WO+W3Zbez2479Isry8XMPDw16b9ksd8/tkA3AybeZ/W7Od0p7/Dcj5bdqHi23g2TbzXzeVPyW+2GiLIMN8IbiwKE10b8Z+2NvJGnbE5Pf7vbrjH1a229oJEba+DQK7XxuS4z/8x38Lc/6bKey2+W3lt+nz+QrazH8VU34o50+Xv1Cb+X3Nf/B4/PYThRaXCTEfCC4sONMZdfl8Pm8Ukx8y+a82Gh8Ikrz/5i8vtk3+fscXW88GRLFXKeWHUH5w2O1sCBXbbvy21kRt5m9jtyvWNiMtlArBhUVlfHiN/68NgfEBZOV/uBczPjiKBUmx/lxom2Lbjg+gybQ3lYAZ/2aRYj9fqH+TWQ5MF8GFBWmiUVexOhf6wC22jwstu9AH+2QCqdjyyRzHhfY10ejzYssm2u9UZhICc4HgwqJzoee6LvZliJNdZvd3sTqT7e9s15/K6OhiQXWh9gg0zAWCCwvWhUZd4wNLUsElw/HL87fLN9lAKuUH+HQv4U0mqAgmlALBhQXtYuElXfi+1cWCabL3uibT/lRMddvpBMxkLx3OZpvAZBBcWPQmCrDpXt6b6nYz+YCf7LazeZmS0EKpEVxY8CYzUaNYvYlm7k1mPzN1ocuTc22mswMJLcw1gguLwlTCy5pJeMz0K+1n88N/PkZ0s9EWMFkEFxaN6d4Xmsk9KFcRWLiU+S9eBVhYpvOhvFg+mKdzrIvl3ODSwYgLi9J0RlPTved1qZvPS4nAbCC4sKhN93LgVD6wSxFycx0oBBZKieACNPnJG9Pd90KxkI4F7iK4gP+zUC8FzgYCC5cSggsoghAjrHDpYlYhcBGL7QN8Mc2ihJsYcQGTMJNnulxBWMEVUx5xHTlyRLfffrtaWlrk8/n00ksvFaz/7ne/e943wG7YsKGgzsDAgLZs2aJQKKRIJKL7779fiURiRgcCzAc7Glkoo5KFdCxYPKYcXMPDw1qzZo327NkzYZ0NGzaop6fHKy+88ELB+i1btujEiRPav3+/9u3bpyNHjuiBBx6Yeu+BEhsfZBMV+gXMIjMDkszevXsLlm3dutXccccdE27z8ccfG0nm3Xff9Za99tprxufzmS+++GJS7cZiMSOJQlnQxefzlbwPFMpcl1gsNuXsmZPJGYcOHVJjY6OuueYaPfTQQ+rv7/fWdXZ2KhKJ6KabbvKWtbe3y+/36+jRo0X3l06nFY/HCwqw0BlGREBRsx5cGzZs0H/+53/qwIED+qd/+icdPnxYGzdu1NjYmCSpt7dXjY2NBduUl5ervr5evb29Rfe5e/duhcNhr1xxxRWz3W0AgCNmfVbhvffe6/28evVq3XDDDbryyit16NAhrV27dlr77Ojo0M6dO73f4/E44QUAi9ScP8e1cuVKNTQ06OTJk5KkaDSqvr6+gjqjo6MaGBhQNBotuo9gMKhQKFRQAACL05wH1+eff67+/n41NzdLktra2jQ4OKhjx455dQ4ePKhcLqfW1ta57g4AwHFTvlSYSCS80ZMknT59WsePH1d9fb3q6+u1a9cu3X333YpGozp16pT+9m//VldddZXWr18vSbruuuu0YcMGbdu2Tc8++6yy2ax27Nihe++9Vy0tLbN3ZACAhWmq0xDfeOONolMat27dapLJpFm3bp1ZunSpqaioMMuXLzfbtm0zvb29Bfvo7+83mzdvNrW1tSYUCpn77rvPDA0NTboPTIenUCiUhVGmMx3eZ4x7c27j8bjC4XCpuwEAmKFYLDbleQu8ZBcA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4JQpBdfu3bt18803q66uTo2NjbrzzjvV1dVVUCeVSmn79u1asmSJamtrdffdd+vMmTMFdbq7u7Vp0yZVV1ersbFRjz32mEZHR2d+NACABW9KwXX48GFt375db7/9tvbv369sNqt169ZpeHjYq/PII4/olVde0YsvvqjDhw/ryy+/1F133eWtHxsb06ZNm5TJZPTWW2/pF7/4hZ5//nk98cQTs3dUAICFy8xAX1+fkWQOHz5sjDFmcHDQVFRUmBdffNGr8/vf/95IMp2dncYYY1599VXj9/tNb2+vV+eZZ54xoVDIpNPpSbUbi8WMJAqFQqE4XmKx2JSzZ0b3uGKxmCSpvr5eknTs2DFls1m1t7d7da699lotW7ZMnZ2dkqTOzk6tXr1aTU1NXp3169crHo/rxIkTRdtJp9OKx+MFBQCwOE07uHK5nB5++GHdeuutWrVqlSSpt7dXgUBAkUikoG5TU5N6e3u9OvmhZdfbdcXs3r1b4XDYK1dcccV0uw0AcNy0g2v79u366KOP9Ktf/Wo2+1NUR0eHYrGYVz777LM5bxMAcGkqn85GO3bs0L59+3TkyBFdfvnl3vJoNKpMJqPBwcGCUdeZM2cUjUa9Ou+8807B/uysQ1tnvGAwqGAwOJ2uAgAWmCmNuIwx2rFjh/bu3auDBw9qxYoVBetvvPFGVVRU6MCBA96yrq4udXd3q62tTZLU1tamDz/8UH19fV6d/fv3KxQK6frrr5/JsQAAFoOpzOR46KGHTDgcNocOHTI9PT1eSSaTXp0HH3zQLFu2zBw8eNC89957pq2tzbS1tXnrR0dHzapVq8y6devM8ePHzeuvv26WLl1qOjo6Jt0PZhVSKBTKwijTmVU4peCaqOHnnnvOqzMyMmK+973vmcsuu8xUV1ebb3/726anp6dgP59++qnZuHGjqaqqMg0NDebRRx812Wx20v0guCgUCmVhlOkEl+//Askp8Xhc4XC41N0AAMxQLBZTKBSa0ja8qxAA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4BSCCwDgFIILAOAUggsA4JQpBdfu3bt18803q66uTo2NjbrzzjvV1dVVUOdb3/qWfD5fQXnwwQcL6nR3d2vTpk2qrq5WY2OjHnvsMY2Ojs78aAAAC175VCofPnxY27dv180336zR0VH9+Mc/1rp16/Txxx+rpqbGq7dt2zY99dRT3u/V1dXez2NjY9q0aZOi0ajeeust9fT06G/+5m9UUVGhf/iHf5iFQwIALGhmBvr6+owkc/jwYW/ZN7/5TfODH/xgwm1effVV4/f7TW9vr7fsmWeeMaFQyKTT6Um1G4vFjCQKhUKhOF5isdiUs2dG97hisZgkqb6+vmD5L3/5SzU0NGjVqlXq6OhQMpn01nV2dmr16tVqamrylq1fv17xeFwnTpwo2k46nVY8Hi8oAIDFaUqXCvPlcjk9/PDDuvXWW7Vq1Spv+Xe+8x0tX75cLS0t+uCDD/SjH/1IXV1d+u1vfytJ6u3tLQgtSd7vvb29RdvavXu3du3aNd2uAgAWkGkH1/bt2/XRRx/pzTffLFj+wAMPeD+vXr1azc3NWrt2rU6dOqUrr7xyWm11dHRo586d3u/xeFxXXHHF9DoOAHDatC4V7tixQ/v27dMbb7yhyy+//IJ1W1tbJUknT56UJEWjUZ05c6agjv09Go0W3UcwGFQoFCooAIDFaUrBZYzRjh07tHfvXh08eFArVqy46DbHjx+XJDU3N0uS2tra9OGHH6qvr8+rs3//foVCIV1//fVT6Q4AYDGaykyOhx56yITDYXPo0CHT09PjlWQyaYwx5uTJk+app54y7733njl9+rR5+eWXzcqVK81tt93m7WN0dNSsWrXKrFu3zhw/fty8/vrrZunSpaajo2PS/WBWIYVCoSyMMp1ZhVMKrokafu6554wxxnR3d5vbbrvN1NfXm2AwaK666irz2GOPndexTz/91GzcuNFUVVWZhoYG8+ijj5psNjvpfhBcFAqFsjDKdILL93+B5JR4PK5wOFzqbgAAZigWi0153oKT7yp0MGsBAEVM5/PcyeAaGhoqdRcAALNgOp/nTl4qzOVy6urq0vXXX6/PPvuM6fFF2GfdOD/FcX4ujPNzcZyjC7vY+THGaGhoSC0tLfL7pzaGmvYDyKXk9/v1la98RZJ4rusiOD8Xxvm5MM7PxXGOLuxC52e6cxWcvFQIAFi8CC4AgFOcDa5gMKgnn3xSwWCw1F25JHF+Lozzc2Gcn4vjHF3YXJ4fJydnAAAWL2dHXACAxYngAgA4heACADiF4AIAOMXJ4NqzZ4+++tWvqrKyUq2trXrnnXdK3aWS+MlPfiKfz1dQrr32Wm99KpXS9u3btWTJEtXW1uruu+8+70s8F5ojR47o9ttvV0tLi3w+n1566aWC9cYYPfHEE2publZVVZXa29v1ySefFNQZGBjQli1bFAqFFIlEdP/99yuRSMzjUcydi52f7373u+f9m9qwYUNBnYV6fnbv3q2bb75ZdXV1amxs1J133qmurq6COpP5m+ru7tamTZtUXV2txsZGPfbYYxodHZ3PQ5kzkzlH3/rWt877N/Tggw8W1JnpOXIuuH79619r586devLJJ/W73/1Oa9as0fr16wu+mHIx+frXv66enh6vvPnmm966Rx55RK+88opefPFFHT58WF9++aXuuuuuEvZ27g0PD2vNmjXas2dP0fVPP/20fvazn+nZZ5/V0aNHVVNTo/Xr1yuVSnl1tmzZohMnTmj//v3at2+fjhw5ogceeGC+DmFOXez8SNKGDRsK/k298MILBesX6vk5fPiwtm/frrffflv79+9XNpvVunXrNDw87NW52N/U2NiYNm3apEwmo7feeku/+MUv9Pzzz+uJJ54oxSHNusmcI0natm1bwb+hp59+2ls3K+doyl+EUmK33HKL2b59u/f72NiYaWlpMbt37y5hr0rjySefNGvWrCm6bnBw0FRUVJgXX3zRW/b73//eSDKdnZ3z1MPSkmT27t3r/Z7L5Uw0GjU//elPvWWDg4MmGAyaF154wRhjzMcff2wkmXfffder89prrxmfz2e++OKLeev7fBh/fowxZuvWreaOO+6YcJvFdH76+vqMJHP48GFjzOT+pl599VXj9/tNb2+vV+eZZ54xoVDIpNPp+T2AeTD+HBljzDe/+U3zgx/8YMJtZuMcOTXiymQyOnbsmNrb271lfr9f7e3t6uzsLGHPSueTTz5RS0uLVq5cqS1btqi7u1uSdOzYMWWz2YJzde2112rZsmWL9lydPn1avb29BeckHA6rtbXVOyednZ2KRCK66aabvDrt7e3y+/06evTovPe5FA4dOqTGxkZdc801euihh9Tf3++tW0znJxaLSZLq6+slTe5vqrOzU6tXr1ZTU5NXZ/369YrH4zpx4sQ89n5+jD9H1i9/+Us1NDRo1apV6ujoUDKZ9NbNxjly6iW7Z8+e1djYWMEBS1JTU5P+8Ic/lKhXpdPa2qrnn39e11xzjXp6erRr1y594xvf0EcffaTe3l4FAgFFIpGCbZqamtTb21uaDpeYPe5i/37sut7eXjU2NhasLy8vV319/aI4bxs2bNBdd92lFStW6NSpU/rxj3+sjRs3qrOzU2VlZYvm/ORyOT388MO69dZbtWrVKkma1N9Ub29v0X9fdt1CUuwcSdJ3vvMdLV++XC0tLfrggw/0ox/9SF1dXfrtb38raXbOkVPBhUIbN270fr7hhhvU2tqq5cuX6ze/+Y2qqqpK2DO46t577/V+Xr16tW644QZdeeWVOnTokNauXVvCns2v7du366OPPiq4Z4xCE52j/Pudq1evVnNzs9auXatTp07pyiuvnJW2nbpU2NDQoLKysvNm8Zw5c0bRaLREvbp0RCIRfe1rX9PJkycVjUaVyWQ0ODhYUGcxnyt73Bf69xONRs+b6DM6OqqBgYFFed5WrlyphoYGnTx5UtLiOD87duzQvn379MYbb+jyyy/3lk/mbyoajRb992XXLRQTnaNiWltbJang39BMz5FTwRUIBHTjjTfqwIED3rJcLqcDBw6ora2thD27NCQSCZ06dUrNzc268cYbVVFRUXCuurq61N3dvWjP1YoVKxSNRgvOSTwe19GjR71z0tbWpsHBQR07dsyrc/DgQeVyOe8PcDH5/PPP1d/fr+bmZkkL+/wYY7Rjxw7t3btXBw8e1IoVKwrWT+Zvqq2tTR9++GFBuO/fv1+hUEjXX3/9/BzIHLrYOSrm+PHjklTwb2jG52iak0lK5le/+pUJBoPm+eefNx9//LF54IEHTCQSKZihslg8+uij5tChQ+b06dPmf/7nf0x7e7tpaGgwfX19xhhjHnzwQbNs2TJz8OBB895775m2tjbT1tZW4l7PraGhIfP++++b999/30gy//zP/2zef/9987//+7/GGGP+8R//0UQiEfPyyy+bDz74wNxxxx1mxYoVZmRkxNvHhg0bzJ//+Z+bo0ePmjfffNNcffXVZvPmzaU6pFl1ofMzNDRkfvjDH5rOzk5z+vRp89///d/mL/7iL8zVV19tUqmUt4+Fen4eeughEw6HzaFDh0xPT49XksmkV+dif1Ojo6Nm1apVZt26deb48ePm9ddfN0uXLjUdHR2lOKRZd7FzdPLkSfPUU0+Z9957z5w+fdq8/PLLZuXKlea2227z9jEb58i54DLGmH/7t38zy5YtM4FAwNxyyy3m7bffLnWXSuKee+4xzc3NJhAImK985SvmnnvuMSdPnvTWj4yMmO9973vmsssuM9XV1ebb3/626enpKWGP594bb7xhJJ1Xtm7daoz505T4xx9/3DQ1NZlgMGjWrl1rurq6CvbR399vNm/ebGpra00oFDL33XefGRoaKsHRzL4LnZ9kMmnWrVtnli5daioqKszy5cvNtm3bzvufwoV6foqdF0nmueee8+pM5m/q008/NRs3bjRVVVWmoaHBPProoyabzc7z0cyNi52j7u5uc9ttt5n6+noTDAbNVVddZR577DETi8UK9jPTc8TXmgAAnOLUPS4AAAguAIBTCC4AgFMILgCAUwguAIBTCC4AgFMILgCAUwguAIBTCC4AgFMILgCAUwguAIBTCC4AgFP+H5LrWbIs9StcAAAAAElFTkSuQmCC", + "text/plain": [ + "(np.float64(-0.5), np.float64(255.5), np.float64(255.5), np.float64(-0.5))" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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K5mMD4dDrPG63QoFruDtqfi4Fw3xH0/H5bCyG+/a7ZKmA7hu9LLWZ/xfZ2ufSMS9tn2mx+fm+E8wCga2EAlcTCnl+VzGe97Gv/ejQW3hpf0snZu867n3b7ev70HEeWmew9Lt9ASUU2EoocFXTSHeNGNa0PeXxrfofZGMI3WVNIC2FwbztoWMQCuwjFLi4rcV9zVTMoZHEfY5vbfE8JkzuEwrHjA7ue1w8Drcr3iPWKfDgC9q2fDKf5+e3Fv27poqWtlkzRXRMQb7r+JbOZ8C5GSlwcls++S+9dsx77VCbLecc7tvuVKOIrZeZCg/WMFLgKuUSzfm1faOHu9zV5pTTPedqc6idgs8lCQWuytJlo1vaHNvf1hPKpyzUij7XxPQRZ7PmPbPlfXXXVM++wn5oqufS7+utAbBme6HCWq4+4sGtfd+c+/11zLmDY8833NfafQsDthIKXJWt76HH8p7bUtwFAfex5v3z73sJAPBoOdHM1Z5EPuZT8ZaFZvc9hlOvdj7mGODUTB/xoJ6V99WpT0rP+zt0ohxOxfQRXGl4HbrxHzwkocCj5VM4/JtzCjyou+5ldE7X+ulcWPGQjBQAaEYKXIVjv9vgWWMUwLUTCjwz7nt56bF9bt23ws+zzPQR/MdHJ7CFkQL/Cff5dH6O70aAZ5VQ4NFT/OH/mT4CoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUAmlAAoAkFAJpQAKAJBQCaUACgCQUA2tOblW5vb9duCsAzykgBgCYUAGhCAYAmFABoQgGAJhQAaEIBgCYUAGhCAYCb+D9F5U+vXYiiHgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] @@ -677,15 +771,18 @@ } ], "source": [ - "strepto = Streptococcus(position=(128, 128))\n", + "spherical_chain = SphericalChain(\n", + " position=(image_size_big // 2, image_size_big // 2)\n", + ")\n", "\n", - "optics = dt.Fluorescence(output_region=(0, 0, 256, 256))\n", + "optics = dt.Fluorescence(output_region=(0, 0, image_size_big, image_size_big))\n", "\n", - "pip = optics(strepto)\n", + "pip = optics(spherical_chain)\n", "\n", "pip.update()\n", "image = pip.resolve()\n", - "plt.imshow(image, cmap=\"gray\");" + "plt.imshow(image, cmap=\"gray\")\n", + "plt.axis(\"off\")" ] }, { @@ -698,32 +795,32 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 19, "id": "ccf5786c", "metadata": {}, "outputs": [], "source": [ - "strepto = Streptococcus(\n", - " position=lambda: np.random.uniform(50, 206, 2),\n", + "spherical_chain = SphericalChain(\n", + " position=lambda: np.random.uniform(50, image_size_big - 50, 2),\n", " n_coccus=lambda: np.random.randint(5, 12),\n", " max_chain_bend=1.5e-6,\n", " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", ")\n", "\n", - "optics = dt.Fluorescence(output_region=(0, 0, 256, 256))\n", + "optics = dt.Fluorescence(output_region=(0, 0, image_size_big, image_size_big))\n", "\n", - "pip = optics(strepto ^ 3)" + "pip = optics(spherical_chain ^ 3)" ] }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 21, "id": "8edbfff0", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -735,13 +832,141 @@ "source": [ "pip.update()\n", "image = pip.resolve()\n", - "plt.imshow(image, cmap=\"gray\");" + "plt.imshow(image, cmap=\"gray\")\n", + "plt.axis('off');" + ] + }, + { + "cell_type": "markdown", + "id": "55437a38", + "metadata": {}, + "source": [ + "## 4. Simulating Different Imaging Modalities\n", + "\n", + "Populations of individual bacilli and short bacterial chains can be combined into a single sample and imaged with different optical systems, such as fluorescence, brightfield, and darkfield microscopy. Sensor noise and blur are added to each modality to make the resulting images resemble real microscopy data more closely." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "07a7d6c7", + "metadata": {}, + "outputs": [], + "source": [ + "optics_fluo = dt.Fluorescence(\n", + " resolution=1e-7,\n", + " magnification=1,\n", + " NA=1.0,\n", + " output_region=(0, 0, image_size_big, image_size_big),\n", + ")\n", + "\n", + "optics_bf = dt.Brightfield(\n", + " resolution=1e-7,\n", + " magnification=1,\n", + " NA=1.2,\n", + " refractive_index_medium=1.33,\n", + " output_region=(0, 0, image_size_big, image_size_big),\n", + ")\n", + "\n", + "optics_df = dt.Darkfield(\n", + " resolution=1e-7,\n", + " magnification=1,\n", + " NA=1.0,\n", + " refractive_index_medium=1.33,\n", + " output_region=(0, 0, image_size_big, image_size_big),\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "7aec1252", + "metadata": {}, + "outputs": [], + "source": [ + "max_bacillus_bend = 2e-7\n", + "bacillus = Bacillus(\n", + " position=lambda: np.random.uniform(10, image_size_big - 10, 2),\n", + " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", + " length=lambda: np.random.uniform(1.4e-6, 2.2e-6),\n", + " bend=lambda: (np.random.rand() - 0.5) * 2 * max_bacillus_bend,\n", + " refractive_index=lambda: np.random.uniform(1.38, 1.42),\n", + ")\n", + "\n", + "max_bacillus_bend2 = 1e-7\n", + "max_chain_bend = np.pi / 10\n", + "\n", + "chain_bacilli = ChainBacillus(\n", + " position=lambda: np.random.uniform(10, image_size_big - 10, 2),\n", + " length=lambda: np.random.uniform(1.4e-6, 1.8e-6),\n", + " n_bacilli=2,\n", + " rotation=lambda: np.random.uniform(0, 2 * np.pi),\n", + " chain_bend=lambda: (np.random.rand() - 0.5) * 2 * (max_chain_bend),\n", + " bacillus_bend=lambda: (np.random.rand() - 0.5) * 2 * max_bacillus_bend2,\n", + " refractive_index=lambda: np.random.uniform(1.38, 1.42),\n", + ")\n", + "\n", + "multiple_bacilli = bacillus ^ (lambda: np.random.randint(5, 10))\n", + "multiple_chains = chain_bacilli ^ (lambda: np.random.randint(3, 4))\n", + "\n", + "bac = multiple_bacilli & multiple_chains" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "663bd5db", + "metadata": {}, + "outputs": [], + "source": [ + "pip_bf = (\n", + " optics_bf(bac) >> dt.Gaussian(sigma=0.035) >> dt.GaussianBlur(sigma=2.4)\n", + ")\n", + "pip_df = (\n", + " optics_df(bac) >> dt.Gaussian(sigma=0.00135) >> dt.GaussianBlur(sigma=1.6)\n", + ")\n", + "pip_fluo = optics_fluo(bac) >> dt.Poisson(snr=10)\n", + "pip_modalities = pip_fluo & pip_bf & pip_df" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "2a4edfbb", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pip_modalities.update()\n", + "image_fluo, image_bf, image_df = pip_modalities.resolve()\n", + "\n", + "fig, ax = plt.subplots(1, 3, figsize=(10, 5))\n", + "\n", + "ax[0].imshow(image_fluo, cmap=\"gray\")\n", + "ax[0].set_title(\"Fluorescence\")\n", + "ax[0].axis(\"off\")\n", + "ax[1].imshow(image_bf, cmap=\"gray\")\n", + "ax[1].set_title(\"Brightfield\")\n", + "ax[1].axis(\"off\")\n", + "ax[2].imshow(image_df, cmap=\"gray\")\n", + "ax[2].set_title(\"Darkfield\")\n", + "ax[2].axis(\"off\");" ] } ], "metadata": { "kernelspec": { - "display_name": "deeptrack2", + "display_name": ".conda", "language": "python", "name": "python3" }, @@ -755,7 +980,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.14" + "version": "3.10.16" } }, "nbformat": 4,