From 6918895fdc45f233788522dbb4a0f1482a515c2b Mon Sep 17 00:00:00 2001 From: Christopher Teubert Date: Tue, 22 Aug 2023 11:50:19 -0700 Subject: [PATCH 1/2] simulate_to_threshold example --- examples/01_Simulation.ipynb | 248 +++++++++++++++++++++++------------ 1 file changed, 166 insertions(+), 82 deletions(-) diff --git a/examples/01_Simulation.ipynb b/examples/01_Simulation.ipynb index fcb2c6b9..a54e9928 100644 --- a/examples/01_Simulation.ipynb +++ b/examples/01_Simulation.ipynb @@ -26,7 +26,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -43,7 +43,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -75,28 +75,9 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/cteubert/dev/progpy/src/progpy/exceptions.py:20: UserWarning: Behavior of SimResult.plot() will change with version 1.6. New behavior will match that of a pandas data frame.\n", - " warn(msg, *args, **kwargs)\n" - ] - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "fig = results.outputs.plot()" ] @@ -114,20 +95,9 @@ }, { "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "results = m.simulate_to(3, save_freq=0.5)\n", "fig = results.outputs.plot(ylabel='Position (m)')" @@ -144,17 +114,9 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "[0.0, 0.5, 1.0, 1.5, 2.0, 2.5, 3.0]\n" - ] - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "print(results.times)" ] @@ -168,20 +130,9 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "fig = results.event_states.plot()" ] @@ -202,20 +153,9 @@ }, { "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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ybJCvp/q3raUhnSIUUSnAThXC3ghfAAAAQBlKupStBZsTNXN9vOLPpRc59pqqgRrWOVJ9W9WQvzc/mrs6/g0DAAAAZWD/qRRNX3tEi2KO6VJ2bqHjjAbphkZVNbxzpDrVqySDgaWF7oLwBQAAAFyhXJNZv+45pelrj2jtwXNFjg3191L/drU0pGOEalbwt1OFKE8IXwAAAEApXUjL0jebEzVzXbyOXbxU5NhG4cEa3jlCvVvWkK+Xh50qRHlE+AIAAABKaPfxZE1fe0RLth1TZo6p0HEeRoNublJNwzpHql1kBZYWQhLhCwAAAChSdq5JK3ZZlhZuPHK+yLGVArw1sH1t3duxtsJD/OxUIZwF4QsAAAAowNnUTM3bmKBZ6xN0MjmjyLHNa4ZoWKdI3do8nKWFKBThCy4pPT1dVatWVWpqqu68804tXLiwyPFHjx5VRESETCaTnnrqKX3wwQd2qhQAAJQ3249e1LS1R/Rj7All5Ra+tNDLw6BezcI1rHOkWtUKZWkhikX4gkvy9/dX3759NXPmTC1dulRJSUkKCQkpdPzcuXNlMlm+uA4ePNheZQIAgHIiK8ekZTtPaNraI9qacLHIsWFBPrq3Q20N6lBbVYJ87VMgXALhCy5r8ODBmjlzpjIzM/Xtt9/q/vvvL3TsrFmzJEmNGjVS69at7VUiAABwsNPJGZq9IUFzNiboTEpmkWNb1w7VsM6RuqVpuLw9jXaqEK6E8FXemEzSpaI3crocv4qSsey/gPXo0UPh4eE6ceKEZs+eXWj42rlzp7Zv3y6JWS8AANyB2WxWTMJFTV97RMt2nlB2rrnQsd6eRt3evLqGd45Us5qFr6IBSoLwVd5cOi+9W8/RVdjXswelgMpl/mE9PDw0YMAATZw4UStXrtSxY8dUo0aNfOMuz3oZDAYNGjSozOsAAADlQ0Z2rn7cfkLT1x7RjmNJRY4ND/HV4I4RGtCulioF+tipQrg6whdc2uDBgzVx4kSZTCbNmTNHzz77rFW/2WzW3LlzJUnR0dGKjIx0QJUAAMCWTiRd0qz18Zq7MVHn07KKHNu+TkUN7xypno2rytODpYUoW4QvuLTWrVurUaNG2rNnj2bPnp0vfK1atUoJCQmSWHIIAICrOXbxkiYs26ulO04o11T40kJfL6P6tKyhoZ0i1bh6sB0rhLshfMHlDR48WC+++KJiY2O1a9cuNWnSJK9v9uzZkiRvb2/dc889jioRAACUoawck6asPqSPf49TRnbhR8XXCPXT0E4R6t+ulkL9ve1YIdyVwWw2F/5rABQoOTlZISEhSkpKUnBwGf92hAM3ylx8fLzq1Kkjs9msMWPG6M0335QkZWZmKjw8XBcuXFDv3r21ZMkSm9UAAADsY82Bs3r5u506dCat0DHR9StpWKdI9WhUVR5G7ubC1SlNNmDmq7wxGm1y+IQ7i4iIUJcuXbR69WrNmTNHb7zxhgwGg3766SdduHBBEksOAQBwdieTMjR+6W4t3X6iwH5/bw/d2bqGhnWKVFTVIDtXB1gQvuAWBg8erNWrVys+Pl5//fWXunbtmnfKYUhIiG6//XYHVwgAAK5Edq5J09Yc0Ye/7ldaVm6+foNBurdDbT3TswFLC+FwHOECt9CvXz/5+FiOiZ09e7aSkpK0dOlSSdLdd9+d1wcAAJzH+kPndOtHq/XGT3sKDF4taoXq+0e76PU+zQheKBeY+YJbqFChgnr16qXFixdrwYIFatGihTIzLbfY33vvvQ6uDgAAlMbplAy9uXSPlmw7XmB/qL+XnrupoQa0qyUje7pQjnDgxhWw6YEbsJlFixbprrvukiSFhobq4sWLqlmzphISEmQw8IUZAIDyLifXpJnr4/XBiv1KycwpcMyAdrX03M0NVTGAmS7YBwduAAW49dZb80LXxYsXJUmDBg0ieAEA4AS2xJ/XS0t2ac+J5AL7m1QP1vg+TdW6dgU7VwaUHOELbsPHx0f9+vXTlClT8to45RAAgPLtbGqmJizbqwVbjhbYH+TrqWdvaqB7O0RwbDzKPZYdXgGWHQIAANhWrsmsORsT9O7Pe5WcUfASw7ta19SYXg1VOZCDs+A4LDsEAACA04pNvKiXv9up7UeTCuxvWC1Ir/VuqvZ1Ktq5MuDqEL4AAABQLlxIy9I7y/dp3qYEFbQ2K9DHU0/deI2GdYqQpwc3JsH5EL4AAADgUCaTWfM3J2rCz3t1IT27wDG9W1bXf3s1UtVgXztXB5QdwhcAAAAcZuexJL20ZKe2JV4ssL9+lUC91ruJOterbN/CABsgfAEAAMDuki5l6/0V+zRrfbxMBSwx9Pf20BM9ojQiuo68PVliCNdA+AIAAIDdmM1mLYo5preW7dHZ1KwCx/RqVk0v3dpY1UP97FwdYFuELwAAANjF3pPJennJTm06cqHA/jqVA/TqHU3U7ZowO1cG2AfhCwAAADaVkpGtib/Eafq6I8otYI2hr5dR/7k+SiO71pGPp4cDKgTsg/AFAAAAmzCbzfo+9rheX7pHZ1IyCxxzY+OqeuW2xqpV0d/O1QH255S7F6dNmyaDwVDkq0ePHlbPJCcna/To0YqIiJCPj48iIyP17LPPKjU11UF/CwAAANcVdypFg6Zs0BPzthUYvGpV9NNXw9tqytC2BC+4Daec+WrZsqXGjh1bYN+3336rXbt26aabbsprS0tL07XXXqtt27apZ8+eGjhwoLZu3ar33ntPK1eu1KpVq+Try50RAAAAVystM0cf/R6nL1cfVk4BSwy9PY16+Np6erh7Pfl6scQQ7sVpw1fLli3ztWdlZemTTz6Rp6enhg0bltf+zjvvaNu2bXr++ef19ttv57W/8MILmjBhgiZOnKgxY8bYo3QAAACXZDabtWznSY3/cbdOJGUUOOa6BmEad0cTRVQKsHN1QPlgMJvNBdys4Jzmz5+v/v37q0+fPlq8eLEkyxeCmjVrKjk5WSdPnlRAwN+f7GlpaapWrZqqVKmigwcPlvh9kpOTFRISoqSkJAUHB5f53wMAAMCZHDqTqrHf79LquLMF9tcI9dPY2xvrxsZVZTAY7FwdYFulyQZOOfNVmKlTp0qSRo4cmdcWFxen48eP66abbrIKXpIUEBCg6OhoLV++XImJiapVq5Zd6wUAAHBml7Jy9ekfB/TFqkPKyjXl6/fyMOiBbnX12HVR8vNmiSHgMuErPj5ev/32m2rWrKmbb745rz0uLk6SFBUVVeBzUVFRWr58ueLi4goNX5mZmcrM/HujaHJychlWDgAA4FzMZrN+2X1Kr/6wW8cuXipwTJf6lfVq7yaqFxZo5+qA8stlwtfXX38tk8mk4cOHy8Pj79+sJCUlSZJCQkIKfO7y1ODlcQV566239Oqrr5ZhtQAAAM4p4Vy6xv2wS7/vPV1gf7VgX718W2P1alaNJYbAv7hE+DKZTPr6669lMBh03333lfnHHzNmjEaPHp335+TkZJYoAgAAt5KRnavJKw9q0p8HlZWTf4mhp9Gg+7vU0eM9ohTg4xI/YgJlziU+M3799VclJCSoR48eqlOnjlXf5Rmvwma2Li8hLGxmTJJ8fHzk4+NTRtUCAAA4lz/2ntbY73cp4Xx6gf0d6lTU+D5NdU3VIDtXBjgXlwhfBR20cdnlvV6X9379W3F7wgAAANzV0Qvpeu2H3Vqx+1SB/WFBPnrp1ka6o0V1lhgCJeD0R82fO3dO1atXV2BgoI4fP55vhqokR82HhYXp0KFDJX5PjpoHAACuLDMnV1NXH9bHv8cpIzv/EkMPo0HDOkXqyRujFOzr5YAKgfKjNNnAaKeabGbmzJnKysrS4MGDC1waaDAYNHLkSKWmpmr8+PFWfePHj1dqaqpGjRplr3IBAADKtb/izuqWD1fr3eX7CgxebSMq6IfHuuiV2xsTvIBScvqZr2bNmmnnzp3avn27mjVrVuCYtLQ0RUdHKzY2Vj179lTr1q0VExOjFStWqF27dlq5cqX8/PxK/J7MfAEAAFdzIumSXv9xj5buOFFgf6UAb71wS0Pd1bqmjEaWGAKXuc0lyxs3btTOnTvVvn37QoOXZLlMeeXKlRo3bpwWLlyoP/74Q+Hh4Xr66ac1duzYUgUvAAAAV5Kda9JXfx3W//0Wp/Ss3Hz9BoM0uEOEnunZQCH+zHQBV8PpZ74cgZkvAADgCtYdPKdXvtupuNOpBfa3qBWq13s3VbOahZ8KDbg7t5n5AgAAQOmdTs7Qmz/t0ZJtxwvsD/X30vM3N1T/trVYYgiUIcIXAACAm8jJNWnGunhN/GW/UjJz8vUbDNKAdrX03E0NVSHA2wEVAq6N8AUAAOAGNh85r5eW7NTekykF9jetEazxvZuqVe0Kdq4McB+ELwAAABd2NjVTb/20VwtjjhbYH+zrqWdvaqBBHSLkwRJDwKYIXwAAAC4o12TWnA3xenf5PiVn5F9iKEl3t6mpF25pqMqB+e9KBVD2CF8AAAAuZmvCBb383U7tPJZcYH/DakEa36ep2kVWtHNlgHsjfAEAALiIC2lZemf5Xs3blKiCLhMK9PHU6Buv0dBOEfL0MNq/QMDNEb4AAACcnMlk1jebEzXh5726mJ5d4JjeLavrxV6NVCXY187VAbiM8AUAAODEdhxN0kvf7VRs4sUC+6OqBOq13k3VqV4l+xYGIB/CFwAAgBNKSs/Weyv2adaG+AKXGPp7e+jJG6I0IrqOvFhiCJQLhC8AAAAnYjKZtTDmqN5etlfn0rIKHHNrs3C9dFsjhYf42bk6AEUhfAEAADiJPSeS9fKSndocf6HA/rqVAzTujibqdk2YnSsDUBKELwAAgHIuOSNbE3/Zrxnr4pVryr/G0NfLqP9cH6WRXevIx9PDARUCKAnCFwAAQDllNpv13bbjeuOnPTqTklngmJ6Nq+qV2xurZgV/O1cHoLQIXwAAAOVQ3KkUvfzdTq0/dL7A/ohK/hp3exNd17CKnSsDcKUIXwAAAOVIWmaOPvotTl/+dVg5BSwx9PY06pHu9fTQtfXk68USQ8CZEL4AAADKAbPZrJ92nNT4H3frZHJGgWOuaxCmcXc0UUSlADtXB6AsEL4AAAAc7OCZVI37fpdWx50tsL9GqJ/G3t5YNzauKoPBYOfqAJQVwhcAAICDXMrK1ce/x2nK6kPKzi1giaGHUQ90q6tHr6svP2+WGALOjvAFAABgZ2azWSt2n9JrP+zWsYuXChzTNaqyXr2jieqGBdq5OgC2QvgCAACwo/hzaRr3/S79se9Mgf3Vgn31yu2NdUvTaiwxBFwM4QsAAMAOMrJz9dmfB/XZyoPKyjHl6/c0GnR/1zp6/PooBfjwIxrgivjMBgAAsLHf957SuO93K+F8eoH9HetW1PjeTRVVNcjOlQGwJ8IXAACAjSSeT9drP+7WL7tPFdgfFuSjl25tpDtaVGeJIeAGCF8AAABlLDMnV1NWHdInfxxQRnb+JYYeRoOGdYrUUzdGKcjXywEVAnAEwhcAAEAZWrX/jMZ+v0uHz6YV2N8usoJe691UjcKD7VwZAEcjfAEAAJSBE0mXNP7H3fppx8kC+ysFeGtMr0a6q3UNlhgCborwBQAAcBWyckz6as1hffRbnNKzcvP1Gw3S4I4RerpnA4X4scQQcGeELwAAgCu09uBZvfLdLh04nVpgf8taoXq9T1M1rRFi58oAlEeELwAAgFI6nZyh15fu0fexxwvsr+Dvpedvbqh72taS0cgSQwAWhC8AAIASysk1afq6eE38Zb9SM3Py9RsM0oB2tfXcTQ1UIcDbARUCKM8IXwAAACWw6ch5vbxkp/aeTCmwv1mNEI3v01Qta4XatzAAToPwBQAAUIQzKZl6a9keLYo5VmB/sK+nnr25oQa1ry0PlhgCKALhCwAAoAC5JrNmb4jXu8v3KSUj/xJDSbq7TU29cEtDVQ70sXN1AJwR4QsAAOBfYhIu6OUlO7XreHKB/Q2rBen1Pk3VNrKinSsD4MwIXwAAAP9zPi1L7/y8V/M2JRbYH+TjqdE9r9GQjhHy9DDauToAzo7wBQAAIOn72ON65budupieXWB/31Y1NOaWhqoS7GvnygC4CsIXAABwa9m5Jr310159teZwgf1RVQI1vk9Tdaxbyc6VAXA1hC8AAOC2Tqdk6LE5W7Xx8Pl8ff7eHnryhiiNiK4jL5YYAigDhC8AAOCWtsRf0COzt+hUcma+vlubheul2xopPMTPAZUBcFWELwAA4FbMZrNmbUjQaz/sUnau2arP29Oo13s31T3tajmoOgCujPAFAADcRkZ2rl5aslPfbjmar69GqJ8+G9xazWuG2r8wAG6B8AUAANxC4vl0PTx7i3Yey393V3T9Svp4YGtVDPB2QGUA3AXhCwAAuLzVcWf0n7lbCzxG/qFr6+mZntdwbxcAmyN8AQAAl2U2m/XZyoN6b/k+may3dynA20Pv9WuhW5qFO6Y4AG6H8AUAAFxSSka2nlkQq+W7TuXrqxsWoC+GtFH9KkEOqAyAuyJ8AQAAl3PgdIoemLlFh86k5eu7qUlVvdevhYJ8vRxQGQB3RvgCAAAuZdmOE3pmQazSsnKt2o0G6ZmbGujha+vJYDA4qDoA7ozwBQAAXEJOrknvrdivySsP5usL9ffSxwNbqWtUmAMqAwALwhcAAHB659Oy9J+5MVpz4Fy+vibVgzV5cBvVqujvgMoA4G+ELwAA4NS2H72oh2fF6NjFS/n67mpdU2/0bSpfLw8HVAYA1ghfAADAac3flKiXvtuprByTVbuXh0Gv3N5EgzvUZn8XgHKD8AUAAJxOZk6uXv1ht+ZsSMjXVyXIR58Nbq02ERUdUBkAFI7wBQAAnMqJpEt6eFaMtiVezNfXPrKiPrm3laoE+dq/MAAoBuELAAA4jXUHz+k/c2N0NjUrX9+I6Ej9t1cjeXkYHVAZABSP8AUAAMo9s9msL/86rLeW7VWuyWzV5+tl1IS7mqt3yxoOqg4ASobwBQAAyrX0rBw99+12/bj9RL6+2hX99fmQNmoUHuyAygCgdAhfAACg3Dp8Nk0PzdyifadS8vVd1yBMH/ZvpRB/LwdUBgClR/gCAADl0m97TunJb7YpJSMnX98TPaL0RI8oGY0cIw/AeRC+AABAuWIymfXhb3H66Le4fH1Bvp76sH9L9WhU1QGVAcDVIXwBAIByIyk9W09+s1V/7DuTr69B1SB9PqSNIisHOKAyALh6hC8AAFAu7D6erIdmbVHC+fR8fbe3qK4JdzWTvzc/ugBwXnwFAwAADrdk6zG9sGi7MrJNVu0eRoP+26uR7ouOlMHA/i4Azo3wBQAAHCY716Q3lu7RtLVH8vVVDvTWJ4Naq2PdSvYvDABsgPAFAAAc4nRKhh6bvVUbj5zP19eqdqgm3dta4SF+DqgMAGyD8AUAAOxuS/x5PTwrRqdTMvP13duhtl65vbF8PD0cUBkA2I7R0QVcrcWLF+vGG29UpUqV5Ovrqzp16mjgwIFKTEy0GpecnKzRo0crIiJCPj4+ioyM1LPPPqvU1FQHVQ4AgPsxm82aue6IBnyxPl/w8vY06p27m+uNvs0IXgBcktPOfJnNZj300EP64osvVK9ePQ0YMEBBQUE6fvy4Vq5cqfj4eNWqVUuSlJaWpmuvvVbbtm1Tz549NXDgQG3dulXvvfeeVq5cqVWrVsnX19fBfyMAAFxbRnau/rt4hxbFHMvXVyPUT5MHt1GzmiEOqAwA7MNpw9dHH32kL774Qo888og++ugjeXhY/4YsJycn75/feecdbdu2Tc8//7zefvvtvPYXXnhBEyZM0MSJEzVmzBi71Q4AgLtJPJ+uh2Zt0a7jyfn6utSvrI8GtlLFAG8HVAYA9mMwm81mRxdRWpcuXVKNGjVUoUIF7du3T56ehWdIs9msmjVrKjk5WSdPnlRAwN8XM6alpalatWqqUqWKDh48WOL3T05OVkhIiJKSkhQcHHxVfxcAAFzdqv1n9Pi8rbqYnp2v7+Hu9fRMzwbyMHKMPADnVJps4JQzXytWrNCFCxc0YsQI5ebm6vvvv9f+/fsVGhqqG264QfXr188bGxcXp+PHj+umm26yCl6SFBAQoOjoaC1fvlyJiYl5yxQBAMDVM5nM+mzlQb23Yp/+/aveAG8PvX9PC93cNNwxxQGAAzhl+NqyZYskycPDQ82bN9f+/fvz+oxGo5566im99957kizhS5KioqIK/FhRUVFavny54uLiCg1fmZmZysz8e1NwcnL+JRMAAOBvKRnZenp+rFbsPpWvr15YgD4f0kb1qwQ5oDIAcBynPO3w9OnTkqQPPvhAISEh2rhxo1JSUrRq1Spdc801ev/99/XZZ59JkpKSkiRJISEFb+C9PDV4eVxB3nrrLYWEhOS9mCEDAKBwcadS1PuTNQUGr5uaVNWSR6MJXgDcklOGL5PJJEny9vbWkiVL1K5dOwUGBqpr165asGCBjEaj3n///TJ7vzFjxigpKSnv9e9j7AEAgMVPO06o96drdOhsmlW70SA9f3NDTR7cRkG+Xg6qDgAcyymXHV6exWrbtq2qV69u1de0aVPVrVtXBw4c0MWLF/PGFjazdXkJYWEzY5Lk4+MjHx+fsigdAACXlJNr0rsr9unzlYfy9VXw99JHA1upa1SYAyoDgPLDKcNXgwYNJEmhoaEF9l9uv3TpUt5er8t7v/6tuD1hAACgaOdSM/X4vK1ac+Bcvr6mNYL12b1tVKuivwMqA4DyxSnD13XXXSdJ2rNnT76+7OxsHThwQAEBAQoLC1O1atVUvXp1rVmzRmlpafmOml+zZo3q1KnDPi4AAK7A9qMX9dDMLTqelJGv7+42NfV6n6by9fIo4EkAcD9OueerXr166tmzpw4cOKCpU6da9b399tu6ePGi+vbtK09PTxkMBo0cOVKpqakaP3681djx48crNTVVo0aNsmf5AAC4hPmbEnX35HX5gpeXh0Gv92mqd+9uTvACgH9wykuWJengwYPq3LmzTp8+rVtvvVUNGzbU1q1b9fvvvysiIkLr169XtWrVJFlmuKKjoxUbG6uePXuqdevWiomJ0YoVK9SuXTutXLlSfn5+JX5vLlkGALizzJxcjft+t+ZuTMjXVzXYR5PubaM2ERUcUBkA2F9psoHThi9JSkxM1CuvvKKff/5Z586dU7Vq1XTHHXfolVdeUZUqVazGJiUlady4cVq4cKFOnjyp8PBw9evXT2PHjlVQUOmOuyV8AQDc1YmkS3poVoxiEy/m62tfp6I+GdRKVYJ87V8YADiI24QvRyF8AQDc0bqD5/TYnBidS8vK13dfdB2N6dVQXh5OuaMBAK5YabKBUx64AQAA7MdsNuvLvw7rrWV7lWuy/p2tr5dRE+5qrt4tazioOgBwHoQvAABQqLTMHD2/cLt+3H4iX19EJX9NHtxGjcJZBQIAJUH4AgAABTp8Nk0Pztys/adS8/Vd1yBMH/ZvpRB/LwdUBgDOifAFAADy+XX3KT31zTalZObk63vyhig9fn2UjEaDAyoDAOdF+AIAAHlyTWb936/79dHvB/L1Bfl66sP+LdWjUVUHVAYAzo/wBQAAJEkX07P05Dfb9Oe+M/n6GlYL0uTBbRRZOcABlQGAayB8AQAA7T6erAdnbVbi+Uv5+u5oUV1v39VM/t782AAAV4OvogAAuLnFW49qzKIdysg2WbV7GA36b69Gui86UgYD+7sA4GoRvgAAcFPZuSa9sXSPpq09kq+vcqC3PhnUWh3rVrJ/YQDgoghfAAC4odPJGXp0Tow2HbmQr69V7VB9dm8bVQvxdUBlAOC6CF8AALiZLfHn9fCsGJ1OyczXN7hjbb18W2P5eHo4oDIAcG2ELwAA3ITZbNbM9fF67YfdyjGZrfq8PY16o09T9Wtby0HVAYDrI3wBAOAGMrJz9d/FO7Qo5li+vhqhfpo8uI2a1QxxQGUA4D4IXwAAuLjE8+l6cOYW7T6RnK+vS/3K+mhgK1UM8HZAZQDgXghfAAC4sJX7z+jxuVuVdCk7X98j3evp6Z4N5GHkGHkAsAfCFwAALshkMmvSnwf0/i/7Zbbe3qUAbw+9f08L3dw03DHFAYCbInwBAOBikjOy9fT8WP2y+1S+vnphAfp8SFvVrxLogMoAwL0RvgAAcCFxp1L04MwtOnQ2LV/fzU2q6b17WijQh2//AOAIfPUFAMBFLN1+Qs9+G6v0rFyrdqNBevamhnro2royGNjfBQCOQvgCAMDJ5eSa9M7yffpi1aF8fRX8vfTxwNbqElXZAZUBAP6J8AUAgBM7l5qpx+Zs1bpD5/L1Na0RrMmD26hmBX8HVAYA+DfCFwAATio28aIenrVFx5My8vXd3aamXu/TVL5eHg6oDABQEMIXAABOaN7GBL3y3S5l5Zqs2r08DBp7exPd26E2+7sAoJwhfAEA4EQyc3I17vtdmrsxMV9f1WAffTa4jVrXruCAygAAxSF8AQDgJI5fvKSHZ21R7NGkfH3t61TUp4NaKyzIxwGVAQBKgvAFAIATWHvwrP4zZ6vOpWXl67u/Sx29cEtDeXkYHVAZAKCkCF8AAJRjZrNZU1Yf0tvL9spktu7z8/LQ23c1U++WNRxTHACgVAhfAACUU2mZOXru2+1auuNEvr6ISv76fEgbNawW7IDKAABXgvAFAEA5dOhMqh6cuUVxp1Pz9V3fsIom9m+pED8vB1QGALhShC8AAMqZFbtO6un5sUrJzLFqNxikJ3tco/9cX19GI8fIA4CzIXwBAFBO5JrM+vDX/fr49wP5+oJ9PfXhgJa6vmFVB1QGACgLhC8AAMqBi+lZenzeNq3afyZfX8NqQfp8SBtFVApwQGUAgLJC+AIAwMF2HU/SQ7O2KPH8pXx9vVtW11t3NpO/N9+yAcDZ8ZUcAAAHWhRzVGMW7VBmjsmq3cNo0Iu9GmlEdKQMBvZ3AYArIHwBAOAAWTkmvbF0t6avi8/XVznQR58OaqUOdSs5oDIAgK0QvgAAsLNTyRl6ZHaMtsRfyNfXqnaoPru3jaqF+DqgMgCALRG+AACwo01HzuuR2TE6k5KZr29Ixwi9fFtjeXsaHVAZAMDWCF8AANiB2WzW9LVH9PrSPcoxma36vD2NeqNPU/VrW8tB1QEA7IHwBQCAjV3KytV/F+/Q4q3H8vXVCPXT50PaqGmNEAdUBgCwJ8IXAAA2lHAuXQ/O2qI9J5Lz9XWNqqyPBrRShQBvB1QGALA3whcAADbyx77TenLeNiVdys7X90j3enq6ZwN5GDlGHgDcBeELAIAyZjKZ9ekfB/TBr/tltt7epUAfT73Xr4VublrNMcUBAByG8AUAQBlKzsjW6G+26dc9p/P11QsL0OdD2qp+lUAHVAYAcDTCFwAAZWTfyRQ9NGuLDp9Ny9d3S9NqerdfCwX68K0XANwV3wEAACgDP24/rue+3a70rFyrdqNBeu7mhnqwW10ZDOzvAgB3RvgCAOAq5OSaNOHnvZqy+nC+vgr+XvpkUGtF16/sgMoAAOUN4QsAgCt0NjVTj82J0fpD5/P1NasRos8Gt1bNCv4OqAwAUB4RvgAAuAJbEy7okdkxOpGUka+vX5uaGt+nqXy9PBxQGQCgvCJ8AQBQSr/tOaWHZ8coK8dk1e7lYdC4O5poUPva7O8CAORD+AIAoBSW7zqpx+bEKDvX+gKvasG+mjS4tVrXruCgygAA5R3hCwCAEvppxwk9PnerckzWwatDnYr6ZFBrhQX5OKgyAIAzIHwBAFAC3207ptHzY5X7r+B1V+uaevuuZvLyMDqoMgCAsyB8AQBQjEUxR/XMglj9K3dpQLtaerNvMxmN7O8CABSP8AUAQBHmb0rU84u2y/yv4DW4Y229dkdTghcAoMQIXwAAFGL2hni9uHhnvvYR0ZF65bbGnGgIACgVwhcAAAWYvvaIxn6/K1/7A93qaswtDQleAIBSI3wBAPAvU1cf0utL9+Rrf6R7PT17UwOCFwDgihC+AAD4h8/+PKgJP+/N1/5Ejyg9eUMUwQsAcMUIXwAA/M/Hv8Xp/V/252t/+sZr9J8eUQ6oCADgSghfAAC3ZzabNfGX/fro9wP5+l64paEeuraeA6oCALgawhcAwK2ZzWa9s3yfPvvzYL6+l25tpJFd6zqgKgCAKyJ8AQDcltls1ps/7dGU1Yfz9b3Wu4mGdoq0f1EAAJdF+AIAuCWz2axXf9itaWuP5Ot7s28zDepQ2/5FAQBcGuELAOB2TCazXvl+p2atT7BqNxikCXc21z3tajmoMgCAKyN8AQDcislk1phFO/TN5kSrdqNBev+eFurbqqaDKgMAuDrCFwDAbeSazHr221gtijlm1e5hNGhi/5a6o0V1B1UGAHAHhC8AgFvIyTXp6QWx+m7bcat2T6NBHw1spV7Nwh1UGQDAXRgdXcCVioyMlMFgKPDVvXv3fOMzMzP12muvKSoqSr6+vqpevboeeOABnT592v7FAwDsKjvXpCfmbcsXvLw8DJp0b2uCFwDALpx65iskJERPPvlkvvbIyEirP5tMJvXu3VvLly9Xx44ddddddykuLk5Tp07Vb7/9pvXr1yssLMw+RQMA7Corx6T/zI3R8l2nrNq9PYyaPKS1rm9Y1UGVAQDcjVOHr9DQUI0bN67YcdOnT9fy5cs1cOBAzZ49WwaDQZI0efJkPfzww3rppZf0+eef27haAIC9Zebk6pFZMfptr/UqBx9Po74Y2lbXXsMv3gAA9mMwm81mRxdxJS7Pbh05cqTYsZ07d9a6det05MgRRURE5LWbzWbVr19fp06d0pkzZ+Tn51ei905OTlZISIiSkpIUHBx8JeUDAGwsIztXD87copX7z1i1+3oZ9eWwdoquX9lBlQEAXElpsoHT7vmSLPu4pk2bpjfffFOffPKJNmzYkG9MRkaGNmzYoAYNGlgFL0kyGAy68cYblZaWps2bN9urbACAjV3KytXI6ZvzBS9/bw9NG9Ge4AUAcAinXnZ48uRJjRgxwqqtXbt2mjt3rurVqydJOnjwoEwmk6Kiogr8GJfb4+Li1LVr1wLHZGZmKjMzM+/PycnJZVE+AMAG0jJzdP/0TVp/6LxVe6CPp6aNaKe2kRUdVBkAwN057czXiBEj9Ntvv+nUqVNKS0vT1q1bNWTIEG3atEk9evRQSkqKJCkpKUmS5XCOglyeGrw8riBvvfWWQkJC8l61atUq478NAKAspGbmaPjXG/MFryBfT824vz3BCwDgUE4bvsaOHavrr79eVapUkb+/v1q2bKkZM2ZoyJAhio+P15QpU8rsvcaMGaOkpKS8V2JiYpl9bABA2UjOyNaQLzdo05ELVu0hfl6aPbKDWteu4KDKAACwcNrwVZgHH3xQkrRmzRpJf894FTazdXkJYWEzY5Lk4+Oj4OBgqxcAoPxISs/W4KkbtDXholV7BX8vzRnVQc1rhjqkLgAA/smp93wVpHJlyybqtLQ0SVLdunVlNBoVFxdX4PjL7YXtCQMAlG8X0rI0+MsN2nXcej9upQBvzR7VQQ2r8QszAED54HIzX5dPPLx8FL2fn5/at2+vffv2KT4+3mqs2WzWL7/8ooCAALVt29bepQIArtK51EwNnLI+X/CqHOijeQ90JHgBAMoVpwxfe/fuVXp6eoHtzz//vCRp0KBBee0PPPCAJMverX9ea/b555/r0KFDuvfee0t8xxcAoHw4nZKhAV+s196TKVbtVYN99M2DHRVVNchBlQEAUDCnXHY4b948ffDBB+rWrZsiIiIUEBCg/fv366efflJ2drbGjBmjbt265Y0fNmyYvvnmG82dO1eHDx/WtddeqwMHDmjRokWqU6eOXn/9dQf+bQAApXUqOUMDp6zXoTNpVu3VQ3w1Z1RHRVYOcFBlAAAUzmD+51SQk1i5cqUmTZqkrVu36tSpU0pPT1flypXVoUMHPfLII+rZs2e+ZzIzM/X2229r5syZSkxMVMWKFXXbbbfp9ddfV9WqVUv1/qW5xRoAULaOX7ykQVPW68g56xUQNSv4ae6ojqpV0d9BlQEA3FFpsoFThi9HI3wBgGMknk/XoKnrlXj+klV77Yr+mvtAR9UIZQk5AMC+SpMNnHLZIQDA/SScS9fAKet17KJ18KpTOUBzR3VUtRBfB1UGAEDJEL4AAOXe4bNpGjRlvU4kZVi11wuzBK8qwQQvAED5R/gCAJRrB06natCU9TqdkmnV3qBqkGaN7KCwIB8HVQYAQOkQvgAA5db+UykaNGW9zqZmWbU3Cg/W7JEdVDHA20GVAQBQeoQvAEC5tPt4sgZ/uUHn06yDV7MaIZp5f3uF+hO8AADOhfAFACh3dh5L0uAvN+hierZVe4taoZpxX3uF+Hk5qDIAAK4c4QsAUK7EJl7UkC83KDkjx6q9TUQFfT2inYJ9CV4AAOdE+AIAlBtb4i9o+FcblZJpHbza16mor4a3U6AP37YAAM6L72IAgHJh4+HzGvH1RqVl5Vq1d65XSVOHtZW/N9+yAADOje9kAACHW3fwnO6btkmXsq2DV9eoyvpiSFv5eXs4qDIAAMoO4QsA4FB/xZ3VyBmblJFtsmq/rkGYPhvcRr5eBC8AgGsgfAEAHObPfaf1wMwtysqxDl43Nq6qTwa1ko8nwQsA4DoIXwAAh/h19yk9MjtGWbnWweuWptX0fwNaydvT6KDKAACwDcIXAMDuft55Uo/NiVGOyWzVflvzcE3s31JeHgQvAIDrIXwBAOzqx+3H9cS8bcr9V/Dq26qG3r27uTwJXgAAF0X4AgDYzXfbjumpb7bpX7lL/drU1Nt3NZeH0eCYwgAAsAPCFwDALr7dclTPfRubL3gNbF9bb/RpKiPBCwDg4ghfAACb+2ZTgl5YtEPmfwWvoZ0iNO72JgQvAIBbIHwBAGxq1vp4vbRkZ772+6Lr6OXbGslgIHgBANwD4QsAYDNfrzmsV3/Yna/9wW519cItDQleAAC3QvgCANjElFWH9MZPe/K1P3ZdfT3d8xqCFwDA7RC+AABlbtKfB/TOz/vytT91wzV64oYoB1QEAIDjEb4AAGXq/36N08Rf9+drf/amBnr0uvoOqAgAgPKB8AUAKBNms1kf/LJfH/9+IF/ff3s11APd6jmgKgAAyg/CFwDgqpnNZk34eZ8mrzyYr++V2xrrvi51HFAVAADlC+ELAHBVzGazXl+6R1/+dThf3/jeTTSkU6T9iwIAoBwifAEArpjZbNa473dp+rp4q3aDQXqzbzMNbF/bQZUBAFD+EL4AAFfEZDLrpe92as6GBKt2g0F6567m6te2loMqAwCgfCJ8AQBKLddk1phF2zV/81GrdqNB+uCelurTqoaDKgMAoPwifAEASiXXZNazC2K1aOsxq3YPo0Ef9m+p21tUd1BlAACUb4QvAECJ5eSa9NT8WP0Qe9yq3dNo0CeDWunmpuEOqgwAgPKP8AUAKJHsXJOemLdVP+04adXu5WHQpHvb6MbGVR1UGQAAzoHwBQAoVlaOSY/NidGK3aes2r09jfp8cBtd17CKgyoDAMB5EL4AAEXKyM7VI7Nj9Pve01btPp5GTRnaVt2uCXNQZQAAOBfCFwCgUBnZuXpg5hat2n/Gqt3Py0NfDmurzvUrO6gyAACcD+ELAFCgS1m5Gjljk9YcOGfVHuDtoa9HtFf7OhUdVBkAAM6J8AUAyCctM0f3TdukDYfPW7UH+nhq+n3t1CaC4AUAQGkRvgAAVlIysjXi603aHH/Bqj3I11Mz7++glrVCHVMYAABOjvAFAMiTdClbw7/eqK0JF63aQ/y8NHtkBzWtEeKYwgAAcAHGsv6Af/zxh4YMGaL69esrMDBQnp6e2r17t9WYVatWadKkSZo1a1ZZvz0A4ApdTM/SkC835AteFQO8NXdUR4IXAABXqcxmvi5duqQRI0ZowYIFkiSz2SxJMhgM+cYajUY99thjMhgM6tChg6KiosqqDADAFTiflqXBUzdo94lkq/bKgd6aPbKjGlQLclBlAAC4jjKb+Ro4cKAWLFggs9mstm3b6umnny50bJcuXdS4cWNJ0qJFi8qqBADAFTibmqlBU9bnC15hQT6a9wDBCwCAslIm4eu7777T999/L0maNGmSNmzYoHfffbfIZ/r27Suz2ayVK1eWRQkAgCtwOiVDA79Yr70nU6zaqwX76psHOqp+FYIXAABlpUyWHU6bNk2SNGDAAD300EMleqZdu3aSpD179pRFCQCAUjqZlKFBU9br0Nk0q/YaoX6aM6qDIioFOKgyAABcU5mEr40bN8pgMGjQoEElfiY8PFySdPr06bIoAQBQCscuXtKgKesVfy7dqr1mBT/NHdVRtSr6O6gyAABcV5mEr7Nnz0qSatSoUeJnPDw8JEkmk6ksSgAAlFDi+XQNnLJeRy9csmqPqOSvuaM6qnqon4MqAwDAtZXJnq+gIMuegJMnT5b4mYSEBElSpUqVyqIEAEAJxJ9L04Av8gevupUD9M0DnQheAADYUJmEr/r160uSdu3aVeJnfvzxR0lS06ZNy6IEAEAxDp1JVf/P1+vYRevgFVUlUPMe7KhqIb4OqgwAAPdQJuHr5ptvltls1scff6ycnJxix2/dulWzZs2SwWDQrbfeWhYlAACKcOB0igZ8sV4nkzOs2htWC9LcBzqqShDBCwAAWyuT8PXYY48pKChIiYmJGjFihDIzMwsd+9133+nmm29WVlaWKleurPvvv78sSgAAFGLfSUvwOp1i/bW5cXiw5ozqqMqBPg6qDAAA91ImB25UrlxZU6ZM0cCBAzVnzhz98ssv6tWrV17/O++8I5PJpDVr1ujIkSMym83y8PDQzJkz5e/PiVoAYCu7jyfr3qnrdSE926q9ec0QzbivvUL9vR1UGQAA7sdgNpvNZfXBFi5cqJEjRyopKUkGgyFf/+W3Cg4O1owZM3THHXeU1VvbVXJyskJCQpSUlKTg4GBHlwMABdpxNEmDv9ygpEvWwatlrVBNv6+9Qvy8HFQZAACuozTZoEyWHV5211136eDBg3rttdfUpk0beXh4yGw254Wupk2b6sUXX9SBAwecNngBgDPYlnhRg6auzxe82kZU0Mz7CV4AADhCmc58/ZvJZNL58+eVm5urSpUqydOzTFY5OhwzXwDKsy3x5zXsq01KzbQ+AKlDnYr6ang7Bfi4xtdiAADKg9JkA5t+BzYajapcubIt3wIA8A8bDp3TfdM2KS0r16o9un4lTRnaVv7eBC8AABylTJYdXn/99erRo4fi4+NL/Mzx48fzngMAXL21B85q+Nf5g1e3a8L05bB2BC8AABysTL4T//nnnzIYDEpLSyvxM5cuXcp7DgBwdVbtP6NRMzYrM8dk1X59wyqadG9r+Xp5OKgyAABwGb8GBQAn98fe03pw1hZl/St49WxcVZ8Mai1vzzI9WwkAAFwhh4Wvy7Nkvr6+jioBAJzeL7tP6dHZMcrKtQ5evZpV0/8NaCUvD4IXAADlhcPC17JlyyRJNWvWdFQJAODUft55Qo/N2aock/WhtXe0qK4P7mkhT4IXAADlyhWFr/vuu6/A9pdeekmhoaFFPpuZmamDBw9q06ZNMhgMuvbaa6+kBABwaz/EHteT32xT7r+C152taujdfi3kYWQ/LQAA5c0V3fNlNBqtDsq4/CFKenjG5fEVK1bUpk2bVKdOndKW4FDc8wXAkRZvPaqn58fqX7lL97StqbfubE7wAgDAjmx+z1ft2rWtglZ8fLwMBoPCw8Pl5eVV6HMGg0G+vr4KDw9X586d9fDDD6t69epXUgIAuKUFmxP13MLt+vevzQZ1qK3XezeVkeAFAEC5dUXh68iRI1Z/Nhot+wpWrFihxo0bX3VRAID85m5M0H8X78gXvIZ1itC4O5pwdQcAAOVcmRy40a1bNxkMBgUEBJTFhwMA/MvMdUf08ne78rXf36WOXrq1EcELAAAnUGaXLAMAbOOrvw7rtR9352t/6Np6ev7mBgQvAACchEudQzxhwgQZDAYZDAatX78+X39ycrJGjx6tiIgI+fj4KDIyUs8++6xSU1MdUC0AFO+LVQcLDF6PX1+f4AUAgJNxmfC1c+dOjR07ttClj2lpabr22ms1ceJENWzYUE899ZQaNGig9957T9dff70yMjLsXDEAFO3TPw7ozZ/25msffeM1Gt2T4AUAgLMp0/CVlZWlr7/+Wr1791ZkZKQCAwPl4eFR5MvT8+pXPmZnZ2vYsGFq2bKl+vbtW+CYd955R9u2bdPzzz+v5cuX6+2339by5cv1/PPPa9OmTZo4ceJV1wEAZcFsNuvDX/fr3eX78vU9d3MDPd4jygFVAQCAq1Vm4Wv//v1q2bKlRo4cqR9++EEJCQlKT0+X2Wwu9nW13njjDe3atUtfffWVPDw88vWbzWZNnTpVgYGBevnll636Xn75ZQUGBmrq1KlXXYdDmEyOrgBAGTKbzXp/xX59+Gtcvr4XezXSI93rO6AqAABQFsrkwI20tDTdcsstOnz4sIxGo3r37q2wsDBNmTJFBoNBL730ks6fP6/Nmzdrw4YNMhgM6tSpk2688carfu+YmBi98cYbeu211wo95j4uLk7Hjx/XTTfdlG9ZYkBAgKKjo7V8+XIlJiaqVq1aV12T3SQdlb66WWo1RGozXAqq6uiKAFwFs9mst3/eq89XHsrXN+72xhoe7VwX0gMAAGtlMvM1efJkHT58WB4eHlqxYoUWLVqkxx9/PK//1Vdf1ccff6x169Zpy5YtatSokdavX69KlSpp7NixV/y+mZmZGjp0qFq2bKnnnnuu0HFxcZbfIEdFFbxU53L75XFOY/PXUlKi9Oeb0sQm0sKRUuJG5bsECEC5ZzabNf7HPQUGr9f7NCV4AQDgAspk5uuHH36QwWDQPffco+uvv77Isa1atdIff/yhFi1aaPTo0erUqZPatGlzRe/7yiuvKC4uTlu2bClwueFlSUlJkqSQkJAC+4ODg63G/VtmZqYyMzPz/pycnHxF9ZapnExpy7S//2zKlnYssLzCW0jtH5Sa3il5+TmsRAAlYzKZNe6HXZqxLt6q3WCQ3r6zmfq3q+2gygAAQFkqk5mv3bstxyAXdtiF6V/7ksLCwjR69Gjl5OTok08+uaL3XLdund577z299NJLatq06RV9jJJ66623FBISkvcqF0sTD/0ppZ8tuO9ErPTdI9IHjaVfxkoXE+xaGoCSM5nMenHJzgKD17t3tyB4AQDgQsokfF28eFGSFBERkdfm4+OT989paWn5nomOjpYkrVy5stTvl5OTo2HDhql58+Z64YUXih1/ecarsJmtyzNZhc2MjRkzRklJSXmvxMTEUtdc5q65SXpgpdRqsOTpW/CYS+elNR9K/9dCmnevJbCxJBEoN3JNZj2/cLvmbrT+BYnRIH3Yv6XublPTQZUBAABbKJNlh/7+/kpJSbG6cyY0NDTvnxMSEtSkSZMCnz158mSp3y81NTVvf5a3t3eBYzp16iRJWrx4cd5BHIXt6SpuT5iPj49VmCw3qreUen8q3TheipkhbfpSSipglstskvb+aHlVbiC1HyW1GCD5BNm9ZAAWObkmPfvtdi3eesyq3cNo0EcDWunW5uEOqgwAANhKmYSvOnXqaPv27Tp+/HheW+XKlVWxYkVduHBBa9asyRe+tmzZIqnw8FQUHx8f3X///QX2rVq1SnFxcbrjjjsUFhamyMhIRUVFqXr16lqzZo3S0tKsTjxMS0vTmjVrVKdOnfKxnPBK+FeUujwpdf6PtH+5tPFzyyxXQc7uk356RvrtNanlIKndSKkydwYB9pSda9Lo+bH6Ifa4VbuXh0EfD2ytm5tWc1BlAADAlspk2WHbtm0lSZs3b7Zq79Gjh8xms959912dP38+r/3QoUN6++23ZTAY1LJly1K/n5+fn6ZOnVrgq3PnzpIsSwWnTp2qli1bymAwaOTIkUpNTdX48eOtPtb48eOVmpqqUaNGlbqOcsfoITXsJQ39Tnp0o9T+Ack7sOCxmcnShsnSJ22lmX2lfT9Lplz71gu4oawckx6fuzVf8PL2MOqze9sQvAAAcGEGcxnccjx//nwNGDBAzZs317Zt2/La16xZo65du8pgMKhChQq67rrrlJaWpr/++kupqakyGAyaOXOmBg0adLUl5Bk+fLimT5+udevWqWPHjnntaWlpio6OVmxsrHr27KnWrVsrJiZGK1asULt27bRy5Ur5+ZXsZMDk5GSFhIQoKSkp76TEcisjWYqdJ238QjpXzFH6oRGWmbBWgy2zaQDKVGZOrh6bs1W/7D5l1e7tadQXQ9qoe4MqDqoMAABcqdJkgzKZ+brtttvUrVs3BQUF6eDBg3nt0dHReuWVV2Q2m3X+/HktWrRIy5cvV2pqqiRpxIgRZRq8ihIQEKCVK1fqySef1J49e/T+++9r7969evrpp/Xbb7+VOHg5Hd9gqcMD0mObpCGLpQa9JBkKHnsxXvrlZcspid//Rzq5w66lAq4sIztXD83cki94+XoZ9dWwdgQvAADcQJnMfBXnt99+09SpU7Vr1y7l5OQoKipKQ4cO1V133WXrt7YJp5r5KsiFI5bDOWJmSBkXix5bu7PlgI5Gt0seXvaoDnA5Gdm5GjVjs1bHWV8P4e/toS+HtVOnepUcVBkAALhapckGdglfrsbpw9dlWenSzoWWAzqKm+UKCpfa3ie1HiYFVbVPfYALyMk16YGZW/T73tNW7QHeHpp2X3u1i2SJLwAAzozwZWMuE74uM5ulxA2WfWG7v5NMOYWPNXpJTfpYDvOo2c5yEyyAQo37fpemrT1i1Rbk46lp97VXm4gKjikKAACUGbvv+apTp47q1aunAwcOlPiZhIQE1a1bV/Xq1SuLEnA1DAapdkfp7q+kJ3dK174gBRYyu2XKlnYskL68Ufqiu7R1tpSdYddyAWcxc92RfMEr2NdTs0Z2IHgBAOCGymTmy2g0ymAwaMeOHXkXGhfn4MGDioqKksFgUG6ucx1x7nIzXwXJyZL2fG+ZDUvcUPRYv4pSm2FS2/ulUCe9Kw0oYyv3n9F90zYp1/T3l1hvD6Nmj+rAUkMAAFyI3We+4II8vaVmd0v3r5AeWGk5ft7Tt+Cxl85Lf02U/q+5NO9e6dBKy1JGwE3tP5Wix2bHWAUvSXrn7uYELwAA3JjDwldSUpIkyd/f31EloKSqt5R6fyqN3iPd8KoUUrvgcWaTtPdHacYd0qSO0qapUmaqXUsFHO1MSqZGfL1JKZnWeycfv76++rSq4aCqAABAeeCw8DVr1ixJUkREhKNKQGn5V5S6PCk9sU0aMEeq273wsWf2Skuflj5oJC17Xjpb8v2AgLPKyM7VAzM369jFS1bttzUP11M3XuOgqgAAQHnheSUPXX/99QW2jxgxQgEBAUU+m5mZqUOHDun06dMyGAzq2bPnlZQARzJ6SA1vtbzO7JM2TpFi50pZBcxyZSZLGyZbXvV6WE5JjLrR8jEAF2I2m/Xst9u1NeGiVXur2qF6r18LGTgZFAAAt3dFB25cPmDjas/qqFu3rtatW6ewsLCr+jj25hYHbpRWRrIUO89yQMe5uKLHVoiU2o207CPz48Q3uIYPftmvj36z/m+/RqifljwarbAgHwdVBQAAbM3m93x1797d6re4K1eulMFgUJs2bYqc+TIYDPL19VV4eLg6d+6sAQMGFDtTVh4RvopgMkmH/7TMhu1bJqmI/7w8/aTm91hmw6o1tVeFQJlbsvWYnvxmm1VboI+nFj7cWQ2qBTmmKAAAYBd2v2T5So6ad2aErxK6cETa9KUUM0PKuFj02NqdpQ4PSA1vkzy87FEdUCY2HzmvQVM2KCvXlNdmNEhfDW+n7g2qOLAyAABgD6XJBle05+vfhg4dKoPBoAoVWEKGf6gQKfUcL3UfI+38VtrwhXRqR8FjE9ZaXkHhUtv7pDbDpUB+cEX5lnAuXQ/M3GIVvCRp3B1NCF4AACCfMpn5KqlDhw7p7NmzioyMVJUqzvuDCTNfV8hstlzYvOFzywXOppzCxxq9pCZ9LUsSa7aVOKwA5UzSpWzdOWmNDp5Js2of3jlS4+5o4qCqAACAvdl92eG5c+e0cOFCSVL//v0VEhJi1X/o0CH1799fMTExljc1GHTnnXdqypQp+cY6A8JXGUg+IW2ZJm35Wko9VfTY6q0sIazJnZJXIRc9A3aUnWvSiK836a8DZ63ar2sQpqnD2snDyC8LAABwF3YPX1988YUeeugh1atXT3Fx1qd9ZWdnq1mzZoqLi7M6HdFgMKh79+767bffrvbt7Y7wVYZysiyzYBu/sMyKFcW/ktR6mGVZYmgt+9QH/IvZbNaLS3ZqzoYEq/aG1YL07cOdFehTJqu5AQCAkyhNNiiTS5aXL18uSerTp0++vhkzZmj//v2SpJtuukkTJkxQz549ZTab9eeff2rRokVlUQKclae31Oxu6f4V0gMrpZaDJY9CjuVOPyf99YH0f82lefdKh1dZljICdvTlX4fzBa/KgT76cng7ghcAAChSmYSvffv2yWAwqEOHDvn65syZI0nq2rWrli1bpmeffVbLli1T9+7drfoBVW8p9flUGr1HumGcFFLI7JbZJO39UZp+uzSpo7RpqpRZwAXPQBn7ZfcpvfHTHqs2H0+jpg5rqxqhfg6qCgAAOIsyCV9nzpyRJEVERFi1Z2Zmau3atTIYDHrwwQfz2g0Gg0aOHCmz2awtW7aURQlwJQGVpC5PSU/ESgPmSHWuLXzsmb3S0qelDxpJy16Qzh6wX51wK7uOJ+mJeVvzTbZ+cE9LtawV6pCaAACAcymT8HXhwgVJkqen9ZKbTZs2KTMzU5J04403WvXVrVtXknTqVDGHLcB9GT2khrdKw76XHt0otRsleQcWPDYzWdrwmfRJG2nWXdL+5ZYLn4EycCo5Q/dP26z0rFyr9mdvaqBbm4c7qCoAAOBsyiR8BQQESJJOnz5t1b5q1SpJUoMGDVS5cmWrPh8fy74eA0eIoyTCGki3vmdZknjLO1Kl+oWPPfCrNOce6eNW0tpPpEsX7FcnXE56Vo5GTt+sk8kZVu13ta6pR7rXc1BVAADAGZVJ+Kpf3/KD8O+//27VvmTJEhkMBnXr1i3fM5eDWtWqVcuiBLgL32Cpw4PSo5ukIYula26RVEiAv3BEWvGi9EFj6YcnpJM77VkpXIDJZNaT87Zpx7Ekq/b2kRX15p1N+eURAAAolTIJX5dPL5w8ebJ++uknpaam6uOPP9bmzZslSb179873TGxsrCSpevXqZVEC3I3RKNW7Xho0T3pim9T5cck3tOCx2emWO8UmR0tf95J2LZFys+1XK5zWhOV7tWK39dLoiEr+mjykjXw8PRxUFQAAcFZlcs/XqVOn1KhRIyUlWf922Gw2q1mzZnlB65+6d++u1atX65FHHtHHH398tSXYFfd8lVNZ6dLOb6UNX0indhQ9Nqi65b6wNsOlwDC7lAfn8s2mBD2/0Pq/o2BfTy1+NFr1wgrZewgAANyO3e/5qlq1qn744QeFh4fLbDbnverXr68FCxbkG3/gwAH99ddfkqQbbrihLEoAJG9/qfVQ6aHV0oifpSZ3SsZC7l1KOS798bo0sbG06AHp6Gb71opybe3Bs3pxsfUyVU+jQZOHtCF4AQCAK1YmM1+XZWdn66+//tLJkydVvXp1RUdH5zsBUZL++usv/fbbb5Kk5557Tn5+znU/DjNfTiT5hLTla2nz11La6aLHVm8ttX9AatJX8vK1T30odw6eSdWdk9Yq6ZL10tQJdzVT/3a1HVQVAAAor0qTDco0fLkLwpcTysmS9nwvbfhcOrqx6LH+laTWw6R290shNe1TH8qFC2lZ6jNpjeLPpVu1P9itrsb0auSgqgAAQHlG+LIxwpeTO75V2jhV2rFAys0sfJzBaLlnrP0DUmRXiZPtXFpmTq6GfLlRGw+ft2rv2biqJg9uI6ORf/8AACA/wpeNEb5cRNo5aesMadOXUlJi0WPDGkntR0nN+0s+7PlxNWazWc8s2K6FMUet2pvWCNb8BzvJ37uQvYMAAMDtEb5sjPDlYky50r5l0sYvpMMrix7rEyK1uldqN1KqxAW7ruLTPw7o3eX7rNqqBfvqu8eiVTWY/X8AAKBwhC8bI3y5sNN7pU1TpG1zpey0osfWv0Fq/6Dlf41lcnAoHOCnHSf0yOwYqzY/Lw8teKiTmtYIcVBVAADAWRC+bIzw5QYykqTYeZbZsHMHih5boY5lJqzVvZJfBfvUhzKxLfGi+n++Tpk5prw2g0H6Ykhb3di4qgMrAwAAzoLwZWOELzdiMkmH/pA2TpH2/yypiE8XL3+p+T2WAzqqNrFbibgyxy5eUu9P1uhsqvWhKy/2aqRR3eo6qCoAAOBsCF82RvhyU+cPS5u/lGJmShkXix4b0cVyQEfDWyUPL7uUh5JLzczR3Z+t1d6TKVbtA9vX1pt9m8rAyZYAAKCECF82Rvhyc1nplmPqN06RTu0oemxQdandfVLr4VJgmF3KQ9FyTWaNmrFZv++1vnS7S/3K+npEO3l5sH8PAACUHOHLxghfkCSZzVLCesu+sD3fS6acwsd6eEtN+loO6KjZxn41Ip9Xf9ilr9ccsWqrFxagRY9EK8SPWUoAAFA6hC8bI3whn+Tj0pZp0uavpbTTRY+t3lrq8KAljHn62KU8WMxcd0Qvf7fLqq2Cv5eWPBqtiEoBDqoKAAA4M8KXjRG+UKicLGn3d5bZsKMbix7rX1lqM0xqe58UUtM+9bmxlfvP6L5pm5Rr+vtLnreHUbNHdVC7yIoOrAwAADgzwpeNEb5QIse3WvaF7fhWys0sfJzBw3IwR/sHpMgulrPOUab2n0rRXZPWKiXTemnoxP4t1LcVwRcAAFw5wpeNEb5QKmnnpK0zpE1fSkmJRY+t0thySmLz/pI3y+DKwtnUTPX5dI2OXrhk1f749fU1umcDB1UFAABcBeHLxghfuCK5OZa7wjZ+IR1eWfRYnxCp5SCp7QgpjIBwpTKyczVwynptTbho1X5b83B9PLAVR8oDAICrRviyMcIXrtrpvdKmKdK2uVJ2WtFja3e2hLBGd0hevvapzwWYzWY9Pm+bfog9btXeqnao5o7qKF8vDwdVBgAAXAnhy8YIXygzGUmWALbxC+n8waLH+lWQWgyU2gxnNqwEPvhlvz76Lc6qrUaon5Y8Gq2wIE6ZBAAAZYPwZWOEL5Q5k0k69IclhO1fLqmYT0tmw4q0ZOsxPfnNNqu2QB9PLXy4sxpUC3JMUQAAwCURvmyM8AWbOn/YcmfYttlS2pmixzIbls/mI+c1aMoGZeWa8tqMBumr4e3UvUEVB1YGAABcEeHLxghfsIucLGnfUksQO/Rn8eOZDVPCuXT1mbRG59OyrNpf691EQztFOqYoAADg0ghfNkb4gt2dPyRtmc5sWBGSLmXrzklrdPCM9QEmwztHatwdTRxUFQAAcHWELxsjfMFhmA0rUHauSSO+3qS/Dpy1au/eIExTh7aVp4fRQZUBAABXR/iyMcIXygVmwyRZjpR/cclOzdmQYNXesFqQFjzUSUG+Xg6qDAAAuAPCl40RvlCulHY2LCLaEsJcZDZs6upDen3pHqu2yoE++u6xaNUI9XNQVQAAwF0QvmyM8IVyq9SzYYOkNsOcdjbs192nNGrmZv3zq5iPp1HfPNhJLWuFOqwuAADgPghfNkb4QrnnBrNhu44nqd/kdUrPyrVq/3RQa93aPNxBVQEAAHdD+LIxwhecyrmDUswMl5oNO5Wcod6frNHJ5Ayr9md6XqPHro9yUFUAAMAdEb5sjPAFp+Qis2HpWTnq//l67TiWZNV+Z+saer9fCxkMBgdVBgAA3BHhy8YIX3B6TjobZjKZ9cjsGP2866RVe/vIipo5sr18PD0cVBkAAHBXhC8bI3zBZTjZbNjby/Zq8sqD1iVV8tfiR6JVMcDb7vUAAAAQvmyM8AWXVM5nw77ZlKDnF+6wagv29dTiR6NVLyzQLjUAAAD8G+HLxghfcGnlcDZs7cGzGvrlRuWY/v5y5Wk0aMZ97dW5fmWbvCcAAEBJEL5sjPAFt1EOZsMOnUlV30lrlXQp26p9wl3N1L9d7TJ7HwAAgCtB+LIxwhfcjoNmwy6kZanvpDU6ci7dqv3BbnU1plejK/64AAAAZYXwZWOEL7g1O82GZeWYNPjLDdp4+LxVe8/GVTV5cBsZjRwpDwAAHI/wZWOEL0A2nQ0zm816ZsF2LYw5atXetEaw5j/YSf7enldcNgAAQFkifNkY4Qv4lzKeDfv0jwN6d/k+q7Zqwb5a8mi0qoWUnwufAQAACF82RvgCClEGs2E/7TihR2bHWA3z8/LQgoc6qWmNkDIvGQAA4GoQvmyM8AWUwOXZsK2zpPSzRY/932zY3hp3qvc3Z5SZY8rrMhikL4a01Y2Nq9q4YAAAgNIjfNkY4QsohcuzYZu/lg6vLHb4BlNDzcm5Xj+b2itT3nqxVyON6lbXDoUCAACUXmmyAbvWAdiWp7fUpK/lde6gFDNd2jq70NmwDsa96uC9VxfMM7QrrJeiG9W3c8EAAAC2wczXFWDmC7hKpZwNK6t7wwAAAMpaabKB0U41lamMjAyNHj1a3bp1U/Xq1eXr66tq1aopOjpaX3/9tbKzs/M9k5ycrNGjRysiIkI+Pj6KjIzUs88+q9TUVAf8DQA3d3k2bNj3+qjJfE3OuV1nzUV8sYpfIy0aJX3QUPr5v9KZ/farFQAAoIw45czX2bNnVatWLbVv317XXHONwsLCdOHCBS1btkzx8fHq2bOnli1bJqPRki3T0tLUpUsXbdu2TT179lSrVq20detWrVixQu3atdOqVavk61vy36Yz8wWUjZnr4/Xykp2SJC/l6EbjZg3z/kMdtKP4h5kNAwAA5YDL7/mqWLGikpKS5O3tbdWek5OjG2+8UStWrNCyZct06623SpLeeecdbdu2Tc8//7zefvvtvPEvvPCCJkyYoIkTJ2rMmDF2/TsA7m7l/jMa9/2uvD9ny1O/GjprxPCnpKALxe4NU/way8vvuf/dGzZcCrvGPsUDAABcAaec+SrKRx99pCeeeEIffvihnnjiCZnNZtWsWVPJyck6efKkAgIC8sampaWpWrVqqlKlig4ePFji92DmC7g6+0+l6K5Ja5WSmWPVPrF/C/VtVfPvBvaGAQCAcs7l93wVxmQy6eeff5YkNW3aVJIUFxen48ePKzo62ip4SVJAQICio6N16NAhJSYm2r1ewB2dTc3UfdM25Qtej19f3zp4SVZ7w/SfGCn6Ccm/cuEfnL1hAACgHHPKZYeXZWVl6c0335TZbNa5c+f022+/ae/evRoxYoR69OghyRK+JCkqKqrAjxEVFaXly5crLi5OtWrVKnBMZmamMjMz8/6cnJxcxn8TwD1kZOfqgRmbdfTCJav225qH66kbi1kyWKmedONr0nUvFT8bdumCtP5Ty4vZMAAAUE44ffh69dVX8/5sMBj0zDPP6K233sprS0pKkiSFhIQU+DEuTw1eHleQt956y+p9AJSe2WzWc99uV0zCRav2VrVD9V6/FjIYDCX7QKW8N4y9YQAAoLxw6mWHgYGBMpvNys3NVWJioj799FNNnTpV3bt3L9PZqTFjxigpKSnvxRJFoPQ+/DVO38cet2qrEeqnL4a0la+Xx5V90MuzYaP3SP2mSXWuLXzs5dmwT9tJX/eSts+XsjOu7H0BAACugFPPfF1mNBpVs2ZNPfzww6pcubLuuecevfHGG5owYULejFdhM1uXQ1phM2OS5OPjIx8fn7IvHHATS7Ye0//9FmfVFujjqa+Gt1NYUBl8bjEbBgAAnIBTz3wVpGfPnpKkP//8U9Lfe70u7/36t+L2hAG4OpuPnNdz3263ajMapE8GtVKDakFl/4b/nA27+2tmwwAAQLnhEjNf/3T8uGVZk5eXlyRLqKpevbrWrFmjtLS0fEfNr1mzRnXq1Cn0sA0AVy7hXLoemLlFWbkmq/ZxdzRR9wZVbPvmnt5S0zstL2bDAABAOeCUM1+7d+9Wenp6vvb09HSNHj1aktSrVy9JlkM4Ro4cqdTUVI0fP95q/Pjx45WamqpRo0bZvmjAzSRdytZ90zfpfFqWVfvwzpEa2inSvsUwGwYAAMoBp7xkedy4cfrggw/UpUsXRUZGKjg4WMeOHdOyZct07tw5de3aVcuXL5efn58kywxXdHS0YmNj1bNnT7Vu3VoxMTFasWKF2rVrp5UrV+aNLQkuWQaKlp1r0n3TNml1nPUsU/cGYZo6tK08PcrB731KMht2mV9FqeUgqfUwZsMAAICV0mQDpwxfmzdv1hdffKG1a9fq2LFjSk1NVUhIiJo3b64BAwbovvvuk6en9YrKpKQkjRs3TgsXLtTJkycVHh6ufv36aezYsQoKKt2+E8IXUDiz2awXl+zUnA0JVu0Nqgbp24c7KcjXy0GVFSInS9r7o7RlWuH3hv1TRLTUZoTU6HbuDQMAAK4fvhyN8AUUburqQ3p96R6rtsqBPlryaGfVrODvoKpKiNkwAABQSoQvGyN8AQX7dfcpjZq5Wf/8quLjadQ3D3ZSy1qhDqur1JgNAwAAJUT4sjHCF5DfruNJ6jd5ndKzcq3aPx3UWrc2D3dQVWWA2TAAAFAEwpeNEb4Aa6eSM9T7kzU6mWx9KuAzPa/RY9e7yB16zIYBAIACEL5sjPAF/C09K0f9P1+vHceSrNrvbF1D7/drIYPB4KDKbIjZMAAA8D+ELxsjfAEWJpNZj8yO0c+7Tlq1t4+sqJkj28vH08NBldnJlcyGtR4qNbpD8i7nh48AAIASIXzZGOELsHh72V5NXnnQqi2ikr8WPxKtigHeDqrKQUozG+YdJDW9U2o1RKrZVnLF2UEAANwE4cvGCF+ANH9Top5buN2qLdjXU4sfjVa9sEAHVVUOlHY2rHIDqdW9UvMBUlBVm5cHAADKFuHLxghfcHdrD57V0C83Ksf095cPT6NBM+5rr871KzuwsnKmNLNhBg/pmpuklvda/tejnF1GDQAACkT4sjHCF9zZoTOp6jtprZIuZVu1v31nMw1oX9tBVZVzOVnSvqXS1lnSwd8ls6no8QFhUvP+UqvBUpVG9qkRAABcEcKXjRG+4K4upGWp76Q1OnIu3ar9wW51NaYXIaFEko5JsXMtQezC4eLH12hjCWFN75J8Q2xfHwAAKBXCl40RvuCOsnJMGvLlBm04fN6qvWfjqpo8uI2MRg6NKBWzWYpfawlhu5dI2elFj/f0tZyS2GqwFNlVMhrtUiYAACga4cvGCF9wN2azWc8s2K6FMUet2pvWCNb8BzvJ39vTQZW5iMwUaddiSxBL3FD8+NDaUsvBUsuBln8GAAAOQ/iyMcIX3M2nfxzQu8v3WbVVDfbRd492UbUQXwdV5aLOxllCWOxcKfVUMYMNUt1rLUfWN7xV8vKzS4kAAOBvhC8bI3zBnfy044QemR1j1ebn5aEFD3VS0xrsQbKZ3Bzp4G/S1pnSvmWSKafo8T4hUrO7LcsSq7fi7jAAAOyE8GVjhC+4i9jEi7rn83XKzPn7dD6DQfp8cBv1bFLNgZW5mbSz0vZvLDNip3cXP75KY0sIa95fCuDofwAAbInwZWOEL7iDYxcvqc+na3QmJdOq/cVejTSqW10HVeXmzGbp+FZLCNvxrZSZVPR4o6fU4BbLssR6PSQP9uYBAFDWCF82RviCq0vNzNHdn63V3pMpVu0D29fSm32bycCSNsfLviTtXWpZlnhopaRivpQHVpNaDLDMiFWOskuJAAC4A8KXjRG+4MpyTWaNmrFZv+89bdUeXb+Spo1oLy8Pjjgvdy4mSNvmSttmWf65OLU6WEJYk76ST5Dt6wMAwIURvmyM8AVX9uoPu/T1miNWbXXDArT44WiF+Hs5piiUjMkkHVktbZst7f5OyskoeryXv9S4jyWIRXTmkA4AAK4A4cvGCF9wVTPXx+vlJTut2ir4e2nJo9GKqBTgoKpwRTKSpJ0LLfvDjm0pfnzFulLLe6UWA6WQGravDwAAF0H4sjHCF1zRyv1ndN+0Tco1/f0lwdvDqNmjOqhdZEUHVoardnrP/+4Omyelny16rMEo1bveMhvWoJfk6WOfGgEAcFKELxsjfMHV7D+VorsmrVVKpvVdUhP7t1DfVjUdVBXKXG62FLfCEsT2L5fMuUWP96sgNbvHEsTCm9unRgAAnAzhy8YIX3AlZ1Mz1efTNTp64ZJV+3+ur6+nezZwUFWwuZRT0vZ5liB2dn/x46s1t4SwZv0kf2ZCAQC4jPBlY4QvuIqM7FwNmrJeMQkXrdpvax6ujwa0ktHIAQwuz2yWjm62HFm/c5GUlVL0eA9vqeGtUsvBUr3rJKOHfeoEAKCcInzZGOELrsBsNuuJedv0fexxq/ZWtUM1d1RH+XrxQ7XbyUqT9vxgmQ07srr48cE1LAd0tBwkVapn+/oAACiHCF82RviCK5j4y379329xVm01Qv205NFohQVxyILbO39Y2jbH8ko+Wvz4iGjLssTGvSVvTsYEALgPwpeNEb7g7JZsPaYnv9lm1Rbo46mFD3dWg2pcuot/MOVKh/60zIbtXSrlZhY93jvQcnlzqyFSrfbcHQYAcHmELxsjfMGZbT5yXoOmbFBWrimvzWiQvhreTt0bVHFgZSj30s//7+6wmdKJ2OLHV4qSWv3v7rCgaravDwAAByB82RjhC84q4Vy6+kxao/NpWVbtr/VuoqGdIh1TFJzTyR3S1tnS9m+kS+eLHmvwkKJutCxLjLpJ8vS2T40AANgB4cvGCF9wRkmXsnXXZ2t14HSqVfvwzpEad0cTB1UFp5eTKe1bJm2bLR34VTKbih7vX1lq3t8SxKo2tk+NAADYEOHLxghfcDbZuSbdN22TVsedtWrv3iBMU4e2laeH0UGVwaUkH5di51pmxM4fLH589daWZYlN75b8Qm1eHgAAtkD4sjHCF5yJ2WzWi0t2as6GBKv2BlWD9O3DnRTk6+WgyuCyzGYpYb3lkI5di6XstKLHe/pKjW63zIZFdpOM/DIAAOA8CF82RviCM5m6+pBeX7rHqq1yoI+WPNpZNSv4O6gquI3MVGn3EksQS1hX/PiQ2pZ7w1oOkipE2Lw8AACuFuHLxghfcBa/7j6lUTM365+f5T6eRs17oKNa1a7guMLgns4esOwNi50rpZwofnydbpYj6xvdLnn52b4+AACuAOHLxghfcAa7jiep3+R1Ss/KtWr/dFBr3do83EFVAZJyc6SDv0vbZkl7f5JM2UWP9wmRmt5pCWI1WnN3GACgXCF82RjhC+Xd6eQM9f50jU4kZVi1P9PzGj12fZSDqgIKkHZO2jHfsizx1M7ix4c1suwNa95fCgyzfX0AABSD8GVjhC+UZ+lZOer/+XrtOJZk1X5n6xp6v18LGZg1QHlkNlsubt46yxLGMpKKHm/0lK652RLE6t8oeXjap04AAP6F8GVjhC+UVyaTWY/MjtHPu05atbePrKiZI9vLx9PDQZUBpZCdIe1bagliB/+QVMy3qYAqUosBliAW1sAuJQIAcBnhy8YIXyiv3l62V5NXWt+vFFHJX4sfiVbFAG8HVQVchYuJ/7s7bJZ0Mb748TXbWUJYkzslX74+AwBsj/BlY4QvlEfzNyfquW+3W7UF+3pq8aPRqhcW6KCqgDJiMknxaywhbPd3Us6losd7+klN+kgt75Uiork7DABgM4QvGyN8obxZd/Cchny5QTmmvz+dPY0GzbivvTrXr+zAygAbyEiyXN68dZZ0dFPx4ytESi0HSy0HSiE1bV4eAMC9EL5sjPCF8uTQmVT1nbRWSZesj+t++85mGtC+toOqAuzkzD5LCIudJ6WdLmawQap3nWVZYoNbJS9fu5QIAHBthC8bI3yhvLiQlqW+k9boyLl0q/YHutXVf3s1clBVgAPkZktxv1iCWNxyyZRT9HjfUKlZP0sQC2/B3WEAgCtG+LIxwhfKg6wck4Z8uUEbDp+3au/ZuKo+G9xGHkZ+mISbSj0tbf/GEsTO7C1+fNVmUqt7pWb3SAGVbF8fAMClEL5sjPAFRzObzXr22+36dstRq/amNYI1/8FO8vfmziNAZrN0LEbaOlPauVDKTC56vNFLathLajVEqne9ZORqBgBA8QhfNkb4gqNN+vOA3vl5n1Vb1WAfffdoF1ULYR8LkE9WurTnB2nbLOnwquLHB1X/++6wSvVsXx8AwGkRvmyM8AVH+mnHCT0yO8aqzc/LQwse6qSmNUIcVBXgRC4ckbbNsbySEosfX7uzZVli4z6SD9c2AACsEb5sjPAFR4lNvKh7Pl+nzBxTXpvBIH0+uI16NqnmwMoAJ2QySYdXWvaG7flBys0serxXgNS0r+XY+todOaQDACCJ8GVzhC84wrGLl9Tn0zU6k2L9A+KLvRppVLe6DqoKcBGXLlj2hW2dJR3fWvz4ivUsSxJbDJSCw21fHwCg3CJ82RjhC/aWmpmjuz9bq70nU6zaB7avpTf7NpOB38ADZefULmnrbGn7PCn9XNFjDUapXg/L/rCGt0pefvapEQBQbhC+bIzwBXvKNZk1asZm/b7X+gLZ6PqVNG1Ee3l5GB1UGeDicrKk/T9bZsMO/CKZTUWP9wmWGveWWg6SanWUjHxuAoA7IHzZGOEL9vTaD7v11ZrDVm11wwK0+OFohfh7OagqwM0kn7DMhG2dJZ07UPz40AjLbFjz/pyWCAAujvBlY4Qv2MvM9fF6eclOq7YK/l5a8mi0IioFOKgqwI2ZzVLiRsvdYbsWS1mpxT9Tq4MliDXpK/lVsH2NAAC7InzZGOEL9rBy/xndN22Tck1/f4p6exg1a2QHta9T0YGVAZAkZaZKe3+UYudKh1ZKKubbqYe31OAWyyEd9W+QPJi5BgBXQPiyMcIXbG3/qRTdNWmtUjJzrNon9m+hvq1qOqgqAIVKOibtmC9tmyud3Vf8eP/KUrO7LTNi4S05th4AnBjhy8YIX7Cls6mZ6vPpGh29cMmq/T/X19fTPRs4qCoAJWI2Sye2SbHzpB0Lij8tUZLCGlpCWLN7pJAaNi8RAFC2CF82RviCrWTm5GrgF+sVk3DRqv3W5uH6eEArGY38dhxwGrnZ0oFfLcsS9y2TcrOKecAg1b3Wsiyx4W2ST6BdygQAXJ3SZANPO9UEoATeW74vX/BqWStU7/drQfACnI2Hl2WPV4NbLJc471psmRFL3FDIA2bp0J+Wl1eA1PgOy4xYZFfJ6GHHwgEAtsLM1xVg5gu2sGr/GQ39aqNVW41QPy15NFphQT4OqgpAmTt30BLCts+TLiYUPz64htT8HsuMWBhLjwGgvGHZoY0RvlDWzqZm6uYPV+tsamZem7enUUseiVbj6vw3Brgkk0lKWGdZlrhriZSVUvwz1VtJLQZJTe+SAirZvEQAQPEIXzZG+EJZMpvNun/6Zv2+97RV+9jbG2tEdB0HVQXArrIvSXuXWmbEDv4mmU1Fjzd6SlE3WZYlXnOT5MnsOAA4Cnu+ACcyY118vuB1XYMwDe8c6ZiCANifl5/l6Plmd0sppywnJcbOk07tKHi8KUfat9Ty8g21zIS1GCjVbMux9QBQjjHzdQWY+UJZ2XsyWXd8skZZOX//lrtyoI9+frKrKgfym2zA7Z3c8fex9amnih9fsZ4lhDW/R6oQYfv6AAAsO7Q1whfKQkZ2ru745C/tP5Vq1T79vva69powB1UFoFzKzbGcghg7V9r7o5STUfwzEV0syxIb95Z8+V4FALbCskPACbyxdE++4DWySx2CF4D8PDylqBssr4xkafd3lhmx+L8Kfyb+L8vrp2cs94a1GCjV7W75WAAAh2Dm6wow84Wr9cvuUxo1Y7NVW+PwYC1+tLN8PLnPB0AJXYiXts+3zIidP1j8+MCqUrN+liBWrant6wMAN8CyQxsjfOFqnErO0M0frtKF9Oy8Nl8vo378T1fVrxLowMoAOC2zWTq62RLCdi6UMi4W/0zVZpZlic36SUFVbV4iALiq0mQDo51qKlPHjh3Thx9+qJ49e6p27dry9vZWtWrVdNddd2nDhg0FPpOcnKzRo0crIiJCPj4+ioyM1LPPPqvU1NQCxwO2YDKZNXr+NqvgJUljb29C8AJw5QwGqVY76bYPpGf2S/fMkBr0shxJX5hTO6QVL0ofNJJm3W0JbdmX7FczALghp5z5euGFFzRhwgTVq1dP3bt3V1hYmOLi4rRkyRKZzWbNmTNH/fv3zxuflpamLl26aNu2berZs6datWqlrVu3asWKFWrXrp1WrVolX1/fEr8/M1+4Up+vPKi3lu21arulaTVNure1DBwPDaCspZ21hKrYudLxrcWP9wmWmvSxLEus1VEyOuXvaAHArlx+2eGiRYtUqVIlXXvttVbtq1evVo8ePRQYGKgTJ07Ix8dyVPfYsWP12muv6fnnn9fbb7+dN/5yiHvzzTc1ZsyYEr8/4QtXYvvRi7pz0lrlmP7+lAsP8dWyJ7oq1N/bgZUBcAun90rb51n2iCUfK358aIRlWWLz/lKleravDwCclMuHr6LcdNNNWrFihTZt2qS2bdvKbDarZs2aSk5O1smTJxUQEJA3Ni0tTdWqVVOVKlV08GAJNir/D+ELpZWWmaPbPv5Lh8+m5bUZDNLcUR3VsW4lB1YGwO2YcqUjqy2nJe7+XspOK/6ZWh0sQaxJX8mvgu1rBAAn4vJ7vori5eUlSfL0tKxzj4uL0/HjxxUdHW0VvCQpICBA0dHROnTokBITE+1eK9zHuO93WQUvSXq0e32CFwD7M3pYjpzvO9myP6zv55Y/q4ilz4kbpB+fkt67Rpo/VNq3TMrNLnw8AKBALhW+EhIS9Ouvvyo8PFzNmjWTZAlfkhQVFVXgM5fbL48rSGZmppKTk61eQEn9EHtcC7YctWprWStUT9xQ8H+TAGA3PoGWGa2h30lP7ZJuGCdVblD4+Nwsyx1jcwdI7zeUlj1v2UvmWotoAMBmXCZ8ZWdna8iQIcrMzNSECRPk4WG5KykpKUmSFBISUuBzl6cGL48ryFtvvaWQkJC8V61atcq4eriqoxfS9d/FO6zaAn089dGAVvLycJlPPwCuIKSG1OUp6dEN0gN/Sh0ekvyLmJ1PPyttmCx90V2a1FH6a6KUVIK9ZADgxlzipz+TyaThw4dr1apVGjVqlIYMGVKmH3/MmDFKSkrKe7FEESWRk2vSk/O2KSUjx6p9fJ8mql3J30FVAUAxDAapeivplgnS0/ukgfOkxr0ljyIOBjqzV/p1nDSxiTSjt2U/WVYJ9pIBgJsp4gIQ52AymXTfffdpzpw5Gjx4sCZPnmzVf3nGq7CZrctLCAubGZMkHx+fvJMTgZL69I+D2hx/waqtb6sa6tuqpoMqAoBS8vCSGtxieV26IO1abAlWiQXfqSmZpUN/Wl4/jraEthYDpMiuHFsPAHLy8GUymTRixAjNmDFDAwcO1LRp02T81xf34vZ0FbcnDLgSm4+c1//9tt+qrVZFP73Wu4mDKgKAq+RXQWp7n+V17qAlhG2fJ11MKHh8dpoUO8fyCq4pNb/HEsTCithTBgAuzmmPmv9n8Orfv79mz56dt8/rn0py1HxYWJgOHTpU4vfmqHkUJelStnr932odu3gpr83DaNCChzqpdW2OaAbgQkwmKWGd5RLnXUukrJTin6ne2nKJc9O7pABOfAXg/Fz+qPnLSw1nzJihfv36adasWQUGL0kyGAwaOXKkUlNTNX78eKu+8ePHKzU1VaNGjbJH2XADZrNZLy7eYRW8JOmpG6IIXgBcj9EoRUZLvT+Rno2T7vpSqn+jZCjix4vjMdKyZ6X3r5HmDrLcNZaTab+aAcCBnHLma9y4cXr11VcVGBioJ554Iu9Or3/q06ePWrZsKckywxUdHa3Y2Fj17NlTrVu3VkxMjFasWKF27dpp5cqV8vPzK/H7M/OFwny75aieWRBr1da+TkXNHdVRHsYi7tABAFeSckrascCyNPHUjuLH+4ZaZsJaDJRqtrUc+gEATqI02cApw9fw4cM1ffr0Isd8/fXXGj58eN6fk5KSNG7cOC1cuFAnT55UeHi4+vXrp7FjxyooKKhU70/4QkGOnE1Tr49WKz0rN68t2NdTPz/ZTdVDSx7uAcClnNxhCWE7Fkipp4ofX7GeJYQ1v0eqEGH7+gDgKrl8+HI0whf+LSvHpLsnr9X2o9anan52b2vd0izcQVUBQDmSm2M5BTF2rrT3Rykno/hnIrpYDulo3Fvy5fstgPKpNNnAqU87BMqLib/uzxe8BravRfACgMs8PKWoGyyvjCTLXq/YeVL8X4U/E/+X5fXTs1Kj2yxBrE53y8cCACfEzNcVYOYL/7T2wFnd++UG/fMzqW5YgH78Txf5e/MDAgAU6UK8tH2+ZUbs/MHixwdWk5r3syxNrMr1HQAcj2WHNkb4wmXn07J0y/+t0qnkv0/q8vIwaPEj0Wpao/CLuwEA/2I2S0c3W0LYzoVSxsXin6nW7H/H1t8tBVW1eYkAUBDCl40RviBZjpV/YOYW/bLbegP5S7c20siudR1UFQC4gJxMaf/PlmWJcSskU07R4w0eUv0elmWJDXpJXhxyBMB+2PMF2MHsDQn5glfXqMq6L7qOgyoCABfh6WM5ZKNxbyntrGUmLHaudHxrwePNuZaQFrdC8gmWmvSxzIjV6mi5iwwAyglmvq4AM1+IO5Wi2z7+S5k5pry2SgHeWvZkV1UJ8nVgZQDgwk7vlbbPk2K/kVKOFz8+NMIyG9a8v1Spnu3rA+CWWHZoY4Qv95aRnas+n67R3pMpVu1fDW+r6xuy5wAAbM6UKx1ZbVmWuPt7KTut+GdqdbAEsSZ9Jb8Ktq8RgNsgfNkY4cu9vfrDLn295ohV2/DOkRp3B6duAYDdZaZa7g2LnSsdWimpmB9rPLylBrdYliXWv0Hy8LJLmQBcF+HLxghf7uuPvac1Ytomq7aG1YK05NFo+Xp5OKgqAIAkKemYtGO+tG2udHZf8eP9K0vN+llmxMJbSAaD7WsE4HIIXzZG+HJPp1MydMuHq3UuLSuvzcfTqB/+00XXVA1yYGUAACtms3Rim2VZ4o4FUvq54p8Ja/S//WH3SMHVbV4iANdB+LIxwpf7MZnMGvb1Rq2OO2vVPr5PUw3pGOGgqgAAxcrNlg78almWuG+ZlJtVzAMGqe61lkM6Gt4m+fJ9HkDROGoeKGNfrTmcL3jd0KiqBneo7aCKAAAl4uFl2ePV4Bbp0gVp12LLjFjihkIeMEuH/rS8PJ+y3BvW/B6pXg/J09uOhQNwRcx8XQFmvtzLzmNJ6jtpjbJz//5UqRLko5+f7KaKAXwjBgCndO6gJYRtnyddTCh+vF8Fy0mJze6xnJzI/WEA/odlhzZG+HIf6Vk5uv3jv3TwzN/HGBsM0qz7Oyi6fmUHVgYAKBMmk5SwzrIscdcSKSul2EcUWttyUEeze6QqDW1eIoDyjfBlY4Qv9zFm0Q7N3Wj9G9GHrq2nF27hmy0AuJysdGnfT5ZDOg78Kplyin+mWjPL/rCmd3FQB+CmCF82RvhyDz/vPKGHZsVYtTWvGaJvH+osb0+WmwCAS0s7J+1eLG2fX8T+sH8ySHW6WoJYo9sl3xCblwigfCB82Rjhy/Udv3hJt/zfaiVdys5r8/f20NLHu6pO5QAHVgYAsLsLRyyzYdvnS2f3Fz/ew0dqcLNlWWLUjZKnj81LBOA4hC8bI3y5tlyTWYOmrNeGw+et2t+9u7n6ta3loKoAAA5nNksnYi1BbMe3UurJ4p/xDZWa9LEEsdqdOKgDcEGELxsjfLm2T/84oHeX77Nqu615uD4e2EoGg8FBVQEAyhVTrnRktWU2bPf3JTuoI6SWZW9Y8/5S1ca2rxGAXRC+bIzw5bq2JlzQ3ZPXKdf096dFjVA//fREV4X4eTmwMgBAuZV9Sdr/s7R9gRS3QjJlF/9M1ab/OzHxbimkpu1rBGAzhC8bI3y5ppSMbN360V9KOJ+e12Y0SPMf7KS2kRUdWBkAwGmkn5d2L7EEsYS1JXjAIEV2sQSxxr0lv1AbFwigrBG+bIzw5ZpGf7NNi7Yes2p78oYoPXnDNQ6qCADg1C4m/O+gjgXSmT3Fj/fwlq656X8HdfSUvHxtXyOAq0b4sjHCl+tZsvWYnvxmm1Vb24gKmvdAR3l6sDkaAHAVzGbp1E5p+zfSjoVSyvHin/EJkRrfYdkfFhHNQR1AOUb4sjHCl2tJOJeuXh+tVmrm35dpBvl6atkTXVWzgr8DKwMAuBxTrhS/5u+DOjKTin8muMb/Duq4x7JXjMOfgHKF8GVjhC/XkZ1rUr/J67Qt8aJV+0cDW+mOFtUdUxQAwD1kZ0hxyy1BLG6FlJtV/DNhjSwhrFk/KZTrT4DygPBlY4Qv1/H+in36+PcDVm13t6mp9/q1cFBFAAC3dOmCZSZs+3wp/q+SPVO7syWINe4t+XMwFOAohC8bI3y5hvWHzmnglPX652dAZCV//fh4VwX6eDquMACAe0s6arnEeft86fSu4scbvSwHdDTvJ11zs+TlZ/saAeQhfNkY4cv5JaVn6+b/W6UTSRl5bZ5GgxY+3FktaoU6rjAAAP7p1C5LCNvxrZR8tPjxPsFSozssQSyyq2T0sH2NgJsjfNkY4cu5mc1mPTonRj/tOGnV/sItDfXQtfUcVBUAAEUwmSz3hm2fb7lHLKMEB3UEhf99UEe15hzUAdgI4cvGCF/Obd7GBL2waIdVW+d6lTTr/g4yGvnGBAAo53IypbhfpB3zpX0/S7mZxT9TuYFlNqxZP6lCpM1LBNwJ4cvGCF/O68DpVN3+8V+6lJ2b11bB30vLnuimaiFcZgkAcDIZSZaDOnbMlw6vllSCH+tqdbQEsSZ3clAHUAYIXzZG+HJOmTm5unPSWu06nmzV/sWQNurZpJqDqgIAoIwkH7fsDdsxXzq5o/jxRk+p/o3/O6jjFsmbuy2BK0H4sjHCl3N6Y+luTVl92KptcMfaer1PMwdVBACAjZze8/dBHUkJxY/3DpQa3W7ZH1bnWg7qAEqB8GVjhC/ns2r/GQ39aqNVW1SVQH3/WBf5efMNBgDgokwmKXGDZTZs12LLfWLFCaz690Ed4S05qAMoBuHLxghfzuVsaqZu/nC1zqb+vSHZ29Oo7x6NVqNw/v0BANxETpZ04Nf/HdSxTMrJKP6ZSlGWENbsbqliXdvXCDghwpeNEb6ch9ls1v3TN+v3vaet2sfd3ljDo+s4qCoAABwsI1na+6O0/Rvp8CrJbCr+mZrtpOb9pSZ9pYDKtq8RcBKELxsjfDmPaWsOa9wPu63armsQpq+Gt5OBZRQAAEgpJ6WdCy1B7ERs8eMNHlL9HlKze6T/b+/O46Oq7v+PvyfbJGRlCQYIEJYAGsKibDWsX5XNBVwQaPUn+gVtbcUNRfu1JWotaK0g1KWWr4AoigLyVRQDyiYoCBIw7GEPS5A1IYGsc39/TBOYZpkEM3NneT0fj3k85My9l89wctp559x7ToehUki462sEPBjhy8UIX95h5/FcDXtjnYpKLv02r1GEVV891keNIqwmVgYAgIc6ucd+W+JPH0vnDjk/PjhcuvoWexBr3V8KDHJ5iYCnIXy5GOHL8xUUl+rWGWuV+XOeQ/ucB3qoX7tYk6oCAMBLGIaU9YM9iG1bJF084/yc8Fj7Qh3Jd0vNrmWhDvgNwpeLEb48358Wb9Pc9Y6/sRvbu5Weu+UakyoCAMBLlRZL+1bYb0vc9aVUctH5OQ3a/HuhjhFSwzaurxEwEeHLxQhfnm35jhMa994mh7ZrmkTp099fL2sQy8oDAHDFCs9Lu76w35a4f2XNFupodp19NqzjHVJEY9fXCLgZ4cvFCF+e60RugQZPW6OzF4rL28KCA/X5I73VtnGEiZUBAOBjzp+Qti+yB7Fjm50fbwmU2gz490IdN0tW/n8ZvoHw5WKEL89ksxm6990NWrf3tEP7lDuSNapHC5OqAgDAD5zae2mhjrMHnB8fXE9qP9S+dH2bAVJgsOtrBFyE8OVihC/P9PbqfZqydJdD25COcXrzN9eyrDwAAO5gGNLRH+0hbNtC6cIp5+fUaygl3WEPYvHdWKgDXofw5WKEL8/z05FzuuPN71Riu/Tj3CQ6VEsf7aOYeiEmVgYAgJ8qLZb2r7IHsV1LpOILzs+p38q+SEenu6VGiS4vEagLhC8XI3x5lvzCEt08/VsdPH3pf9QtFunDcb3Uq3VDEysDAACSpMI8afeX9iC2b4VklDo/p0kX+2xYxzulyKtcXiJwpQhfLkb48ixPfbJVn/x4xKHtDwPaasKg9iZVBAAAqpR38tJCHUc3OT/eEiC16mefDbv6Vska6foagVogfLkY4ctzfL71mB75MN2hrUvzGH3y218pODDApKoAAECNnN4nZSywL9Zxeq/z44PCpPZD7EGszQ1SEI8WwHyELxcjfHmGI2cvaMjr3+p8QUl5W4Q1SF+O76MWDeuZWBkAAKgVw7AvV//TJ/aFOvJ/dn5OWAMp6XZ7EGvek4U6YBrCl4sRvsxXUmrTqHfWa9Ohsw7t00Z20fCuzUyqCgAA/GKlJdKB1ZcW6ijKc35OTAv7/mGd7pZieewA7kX4cjHCl/mmfb1H077OdGi7vWszTR3ZxZyCAABA3Su6cNlCHd9IthLn58R1soewjndJUU1cXyP8HuHLxQhf5tp08Izu/uf3umxVeTVvEKYvx/dRZCibNAIA4JPyT9sX6sj4RMraUIMTLFKrvpcW6giNdnmJ8E+ELxcjfJkn52Kxhr7+rY6eu1jeFhhg0Se//ZWubVHfxMoAAIDbnDlwaaGOU3ucHx9oldoPts+GJQ6UgkNdXyP8BuHLxQhf5jAMQ498mK4lPx13aJ8wsJ3+8F9sxAgAgN8xDOn4VvtsWMYCKS/b+TnWKKnDLVLyXfYl7AODXF8nfBrhy8UIX+ZY8OMRTfhkq0Nbj1YN9OG4XgoMYIUjAAD8mq1UOrDGHsR2fCYVnXd+TnisdM1wKXmE1LwHKybiihC+XIzw5X4HT+Vr6PRvdaGotLwtOixYSx/to6YxYSZWBgAAPE7xRWn3UnsQy1wu2YqdnxPdQup4h31G7KqOBDHUGOHLxQhf7lVUYtNdb3+nn47kOLS/9ZtrNSSZVYwAAEA1LpyRdvyfff+wg2sl1eCrb6P29tmw5DulBq1dXiK8G+HLxQhf7jVl6S69vXqfQ9voHs01+Y5OJlUEAAC8Uu4xadsiadsC6Vh6zc5peq09iCXdztL1qBThy8UIX+6zbu8p3fO/G3T5T2nr2HAteaS36oXwgCwAALhCp/fZZ8MyPqnZiomySAm97bclXn2bVK+By0uEdyB8uRjhyz3O5BdpyOtrdCK3sLwtONCiTx9OUcdm7NUBAADqgGFI2Rn22bCMhVLuEefnBARLbW+0B7H2Q6SQcNfXCY9F+HIxwpfrGYahB+f+qOU7Tji0P3fz1Rrbh3uvAQCAC9hs9g2cty2Qti+WLpxyfk5wPan9UHsQa3ODFBTi8jLhWQhfLkb4cr331x/Sc4u3ObT1SWykOff3UADLygMAAFcrLZEOrLLvH7ZzSc2Wrg+Nka65zf6MWMsUKSDQ1VXCAxC+XIzw5VqZJ87rlhlrVVhiK29rGB6ipY/1UeNIdqQHAABuVnxRylxmfz5szzKptND5ORFx9qXrO94lNbuWpet9GOHLxQhfrlNQXKrhb6zTrmzH3y7NGtNdAzo0NqkqAACAfyvIkXZ9YZ8R279KMkqdnqL6rey3JXa8S2rcweUlwr0IXy5G+HKd1M+2a/Z3Bx3axlyfoNTbkswpCAAAoCp5J6Udi+1BLGt9zc65quO/g9idUkwLl5YH9yB8uRjhyzVW7DqhB2ZvcmjrEBepxb9PUWgw90wDAAAPdu6wfQ+xjAXSiYyandO8p302LOl2KSLWtfXBZWqTDQLcVFOde//99/XQQw+pW7duslqtslgsmj17dpXH5+bm6oknnlDLli1ltVqVkJCgp556Snl5ee4rGlX6+XyBnvrkJ4c2a1CApo/uSvACAACeL6aF1Psx6Xdrpd//IPV92n67YXWyNkhLn5L+3l6ae7uU/oH9tkb4LK+d+UpISNChQ4fUqFEjhYeH69ChQ5o1a5bGjBlT4dj8/Hz17t1bW7Zs0cCBA9W1a1elp6dr2bJl6t69u9asWaPQ0Jov5MDMV92y2QzdN+sHfZvpuJzri8M76t5eLU2qCgAA4BcyDOnYZvv+YdsXSeePOz8n0Cq1G2ifEWs3SAoOc32d+EX8YuZr5syZOnjwoE6ePKnf/va31R77yiuvaMuWLZo4caLS0tI0ZcoUpaWlaeLEidq4caOmTp3qpqpRmXfXHagQvG68+ird05P7oAEAgBezWKRm10mD/yo9vl2673Pp2vvsS9JXpbRQ2vm59Ml90t8SpU9/K2V+LZUWu61suI7XznxdbsqUKXr22WcrnfkyDEPx8fHKzc1Vdna2wsMv7UCen5+vuLg4NW7cWPv27avx38fMV93ZdjRHt7+5TsWll34Mr4qyaumjfdUgnE0KAQCADyopkvatsC9dv/tLqfiC83PqNZSuGW7fQ6x5TynAa+dQfI5fzHzVVGZmpo4dO6aUlBSH4CVJ4eHhSklJ0f79+5WVlWVShf7rQlGJxn+U7hC8LBbptbu7ELwAAIDvCgqR2g+W7vpf6am90p3/K7UfKgUEV33OhdPSpv+VZg2WpiVLy/4kHd9qv7URXsMvwpckJSYmVvp+WXvZcXCfF5fs0P6T+Q5tD/Vto5S2jUyqCAAAwM1Cwu1Lz4/+UJqwR7p1utSqr6RqNmXOPSJ9N136Z1/pjR7Sqpel0zW/iwvmCTK7AFfLybGvGBMdHV3p+2VTg2XHVaawsFCFhZd2Ms/Nza3DCv3T0ozj+vAHx9nGTvHReuKmdiZVBAAAYLJ6DaTr7rO/co9L2z+Vti2Qjv5Y9Tmn9kir/mp/Ne1qX6ij4x1SVFP31Y0a8/mZr7owefJkRUdHl7+aN29udkle7di5i3pmkeP+F/VCAvX6qK4KCeJHEgAAQFFNpF89LI1bIY1Pl/7rOSm2Q/XnHEuXlv2P9No10qybpU3vShfOuKde1IjPf9Mtm/GqamarbBarqpkxSXr22WeVk5NT/uL5sCtXajP0+PwtyrnouGLP87clqVWj8CrOAgAA8GMNWkt9n5IeXi/9dp3U+3EpurpVoQ3p0FppyePSq4nSB3dLP30sFbK/rdl8/rZDZ890OXsmTJKsVqusVmvdF+eH3l69TxsOOP4G5pZOTXTXdfEmVQQAAOAlLBYprqP9dcMkKesH+22J2z+V8k9Wfo6tRMpMs7+CwqT2Q+zPmLW9UQri+627+UX4atq0qdatW6f8/PwKS82vW7dOrVq14lZCN0g/fFavLd/j0NYsJkwv3Z4si6Wah0oBAADgyGKRWvS0vwZNlg6slrYttO8RVljF+gQlF+2bPW9fJIVGS1ffZg9iCX2kgED31u+nfP62Q4vForFjxyovL08vvviiw3svvvii8vLyNG7cOJOq8x/nC4o1/qN0ldouLYcaYJFeH9VF0WHVLKsKAACA6gUGSW1vkIa/KU3IlEa+b98TLCi06nMKcqT0udJ7w6TXrpaWTpSObGLpehfz2k2WZ86cqbVr10qSMjIytHnzZqWkpKht27aSpN69e2vs2LGS7DNcKSkp2rp1qwYOHKhrr71Wmzdv1rJly9S9e3etXr1aYWFhNf672WS59h6fv0Wfph91aHvsxkQ9diOrGwIAALhEQa59E+eMBfZNnY1S5+fUT5A63mlfNfGqa1xeoi+oTTbw2vA1ZswYzZkzp8r377vvPs2ePbv8zzk5OUpNTdXChQuVnZ2tJk2aaMSIEZo0aZIiIyNr9XcTvmrn0/Qjenz+Voe2bi3r66MHeyko0OcnXwEAAMyXf0rasVjKWCgd/q5m5zROkpLvtIex+gmurM6r+UX4MhPhq+YOn76godO/VV5hSXlbZGiQlj7aR/H165lYGQAAgJ86l2V/7itjgZT9U83Oie8uJY+Qkm6XIhq7tj4vQ/hyMcJXzRSX2jTi7e+1JeucQ/v00V11W2c2/gMAADDdqUx7CNu2QDq91/nxlgCpVV97EOtwixQW4/ISPR3hy8UIXzXz92W7NWOF4yC+67p4vTqis0kVAQAAoFKGIR3f8u8gtkg6f8z5OYEhUuJA+22J7QZLIf55VxPhy8UIX86t339ao/+13mHBnISG9bRkfB9FWH1+hwMAAADvZbPZnwvLWGB/TuziWefnhERIHW62L9TRZoAU6D+rWRO+XIzwVb1zF4o05PVvdTynoLwtKMCiRQ9fr07xMeYVBgAAgNopLZb2rZQyPpF2fSEV5zs/J6yBdM0w+62JLX4lBfj2Amu1yQZMQaBOGYahZxZmOAQvSZowqD3BCwAAwNsEBkvtBtpfRRekPV/ZN3POXCaVFlV+zsUz0o+z7K+oZvZFOpJHSE062zeH9mPMfF0BZr6q9tEPh/XMogyHtuvbNNT7/91TAQH+PdgAAAB8xsVz0s7P7Qt1HFgjGTbn5zRsa78tMfkuqVGiy0t0F247dDHCV+X2/pynW2es1cXiSxv41a8XrKWP9lVcdDU7rAMAAMB7nT8hbf/UHsSObKzZOU0624NYxzuk6HjX1udihC8XI3xVVFhSqjve/E7bj+U6tL9z73UamBRnUlUAAABwq7MH7bclZiyQft5Rs3NaXG+fDbtmuBTe0JXVuQThy8UIXxW99MUO/evbAw5t9/Rqob8MTzapIgAAAJjqxA77bFjGAuncIefHBwRJrQfYg1iHmyVrpOtrrAOELxcjfDlas+ek/t+7Pzi0JTaO0Gd/6K2wkECTqgIAAIBHMAzpyCZ7ENu2SMr/2fk5QaH2vcOS75La3iQFe+4jLIQvFyN8XXIqr1CDp32rU3mF5W0hQQH6v9+n6Oom/v1vAwAAgP9gK7Uv0LFtgbTjc6kwx/k51mjp6lul5DulhL5SoGct2E74cjHCl51hGHpg9kat3H3SoT311ms0JqWVSVUBAADAK5QUSnu/tt+WuHupVHLR+TnhsZeWro/v7hFL1xO+XIzwZTd73QGlfu74IOWA9rF6d0x3WTxgIAAAAMBLFOZJu7+0B7F930i2EufnxLSQOt4pdftvKaa562usQm2ygW9vNw2X2Xk8V39dusuhrVGEVX8b0ZngBQAAgNqxRkid7pZ+87E0IVO6ZarUsrekar5XnjssrZ0q5dXgGTIP4Vk3TMIrFBSXavyH6SoqcdxM7+93d1ajCKtJVQEAAMAn1GsgdXvA/so5Km1fZJ8RO76l4rH1W0nNrnV7iVeK8IVae+mLncr8Oc+hbWzvVurXLtakigAAAOCToptJ1z9if53a++89xD6RTmfa3+94p0c891VThC/UyvIdJzR3veM+DUlNo/TU4PYmVQQAAAC/0Kit1H+i1O9pKfsn+2xYp5FmV1UrhC/UWHZOgZ5esNWhLSw4UNNHd5U1iP28AAAA4AYWi9Sks/3lZVhwAzVisxl64uMtOnuh2KF90q3XqE1shElVAQAAAN6D8IUaeefb/fpu32mHtiEd4zSyu3nLegIAAADehPAFp346ck6vpu12aGsSHarJdySzrDwAAABQQ4QvVCu/sETjP0xXie3SXtwWizR1ZBfF1AsxsTIAAADAuxC+UK3Uz7br4OkLDm2/799WvVo3NKkiAAAAwDsRvlClz7ce0yc/HnFo69I8Ro/emGhSRQAAAID3InyhUllnLuiPn2Y4tEVYgzR9VFcFB/JjAwAAANQW36JRQUmpTY/P36LzBSUO7X8Z3lEtGtYzqSoAAADAuxG+UME/Vu7VpkNnHdpu79pMw7s2M6kiAAAAwPsRvuBg08Ezmv5NpkNb8wZhemFYkkkVAQAAAL6B8IVyOReL9ehHW3TZqvIKDLDo9VFdFRkabF5hAAAAgA8gfEGSZBiG/ufTDB09d9Gh/fEbE3Vti/omVQUAAAD4DsIXJEkLfjyiJT8dd2jr0aqBfte/rUkVAQAAAL6F8AUdOJWvSZ9td2iLDgvWtJFdFBhgMakqAAAAwLcQvvxcUYlNj36UrgtFpQ7tU+5IVtOYMJOqAgAAAHwP4cvPvbZ8j346kuPQNrpHcw1JbmJSRQAAAIBvInz5sXV7T+mfa/Y5tLWODdefbrnGpIoAAAAA30X48lNn8ov0xMdbZFy2rHxwoEXTR3VVvZAg8woDAAAAfBThyw8ZhqGJC3/SidxCh/aJgzuoY7Nok6oCAAAAfBvhyw+9v+Gwlu844dDWJ7GRHkhpZVJFAAAAgO8jfPmZPSfO6y9Ldji0NQwP0d/v7qwAlpUHAAAAXIbw5UcKiks1/sN0FZbYHNpfHdFZjSNDTaoKAAAA8A+ELz8yZeku7co+79A25voEDejQ2KSKAAAAAP9B+PITK3ad0OzvDjq0dYiL1DNDOphTEAAAAOBnCF9+4OfzBXrqk58c2qxBAZo+uqtCgwNNqgoAAADwL4QvH2ezGXry4606nV/k0P7cLdeo3VWRJlUFAAAA+B/Cl497d90BfZt5yqHtxquv0j09W5hUEQAAAOCfCF8+bNvRHL381S6HtquirHrlrk6yWFhWHgAAAHAnwpePulBUovEfpau41Chvs1ik1+7uogbhISZWBgAAAPgnwpePenHJDu0/me/Q9lDfNkpp28ikigAAAAD/RvjyQUszjuvDH7Ic2jrFR+uJm9qZVBEAAAAAwpePOXbuop5ZlOHQVi8kUK+P6qqQILobAAAAMAvfxn1Iqc3Q4/O3KOdisUP787clqVWjcJOqAgAAACARvnzKW6v2asOBMw5tt3RqoruuizepIgAAAABlCF8+YvPhs5r6daZDW7OYML10ezLLygMAAAAegPDlA84XFOvRj9JVaru0rHyARXp9VBdFhwWbWBkAAACAMoQvH/Dn/9uurDMXHdrG35CobgkNTKoIAAAAwH8ifHm5T9OP6NP0ow5t3VrW1x8GtDWpIgAAAACVIXx5scOnL+hPi7c7tEWGBmnaqC4KCqRrAQAAAE/CN3QvVVxq0/iP0pVXWOLQ/tLtyYqvX8+kqgAAAABUhfDlpT784bC2ZJ1zaLvrunjd1rmpOQUBAAAAqBbhy0uN7tFCD/dvo7JV5BMa1lPqbUnmFgUAAACgSoQvLxUcGKCnB3fQB2N7Kr5+mKaP7qoIa5DZZQEAAACoAt/Wvdz1bRpp5YT+CmaBDQAAAMCj8Y3dBxC8AAAAAM/Ht3YAAAAAcAPCFwAAAAC4AeELAAAAANyA8AUAAAAAbuBX4Wvjxo0aOnSoYmJiFB4erl69eunjjz82uywAAAAAfsBvlppfuXKlBg0apNDQUI0aNUqRkZFauHChRo4cqaysLD355JNmlwgAAADAh1kMwzDMLsLVSkpK1KFDBx05ckTr169Xly5dJEk5OTnq0aOHDh48qD179qhly5Y1ul5ubq6io6OVk5OjqKgoF1YOAAAAwJPVJhv4xW2HK1as0L59+/TrX/+6PHhJUnR0tP74xz+qqKhIc+bMMa9AAAAAAD7PL8LXqlWrJEkDBw6s8N6gQYMkSatXr3ZnSQAAAAD8jF8885WZmSlJSkxMrPBeXFycIiIiyo+pTGFhoQoLC8v/nJubW/dFAgAAAPBpfjHzlZOTI8l+m2FloqKiyo+pzOTJkxUdHV3+at68uUvqBAAAAOC7/CJ8/VLPPvuscnJyyl9ZWVlmlwQAAADAy/jFbYdlM15VzW7l5uaqfv36VZ5vtVpltVpdUhsAAAAA/+AXM19lz3pV9lxXdna28vLyKn0eDAAAAADqil+Er379+kmSli1bVuG9tLQ0h2MAAAAAwBX8ZpPl9u3b6+jRo1Vusrx7924lJCTU6HpssgwAAABAql028ItnvoKCgjRz5kwNGjRIffv21ahRoxQZGamFCxfq0KFDevXVV2scvAAAAADgSvhF+JKkAQMGaO3atZo0aZLmz5+v4uJiJScn6+WXX9bIkSPNLg8AAACAj/OL2w7rGrcdAgAAAJBqlw38YsENAAAAADAb4QsAAAAA3IDwBQAAAABuQPgCAAAAADcgfAEAAACAGxC+AAAAAMANCF8AAAAA4AZ+s8lyXSrbGi03N9fkSgAAAACYqSwT1GT7ZMLXFTh//rwkqXnz5iZXAgAAAMATnD9/XtHR0dUeYzFqEtHgwGaz6dixY4qMjJTFYjG1ltzcXDVv3lxZWVlOd9SG96BffQ996pvoV99Dn/oe+tQ3eVK/Goah8+fPq2nTpgoIqP6pLma+rkBAQIDi4+PNLsNBVFSU6T94qHv0q++hT30T/ep76FPfQ5/6Jk/pV2czXmVYcAMAAAAA3IDwBQAAAABuQPjyclarVZMmTZLVajW7FNQh+tX30Ke+iX71PfSp76FPfZO39isLbgAAAACAGzDzBQAAAABuQPgCAAAAADcgfAEAAACAGxC+AAAAAMANCF8eaOPGjRo6dKhiYmIUHh6uXr166eOPP67VNQoLC/XCCy8oMTFRoaGhatq0qR588EH9/PPPLqoa1fmlfTp79mxZLJYqX6tWrXJd8ajU+++/r4ceekjdunWT1WqVxWLR7Nmza30dm82mGTNmKDk5WWFhYYqNjdXo0aO1f//+ui8a1aqLPl21alW1Y/VKfkZw5Y4ePapp06Zp4MCBatGihUJCQhQXF6c777xTGzZsqNW1GKueoa76lLHqWQoKCvTEE0+ob9++atq0qUJDQxUXF6eUlBTNmjVLxcXFNb6Wp4/VILMLgKOVK1dq0KBBCg0N1ahRoxQZGamFCxdq5MiRysrK0pNPPun0GjabTcOGDVNaWpp69eqlO++8U5mZmZo5c6a++eYbrV+/XrGxsW74NJDqpk/LDBs2TF26dKnQnpCQUHcFo0aee+45HTp0SI0aNVKTJk106NChK7rOQw89pJkzZyopKUnjx4/XsWPH9PHHH2vZsmVav369EhMT67hyVKWu+lSS+vXrp/79+1dor2z8wnVmzJihl19+WW3atNHAgQMVGxurzMxMLV68WIsXL9a8efM0cuTIGl2LseoZ6rJPJcaqp8jLy9Nbb72lHj166Oabb1ZsbKzOnj2rpUuX6oEHHtBHH32kpUuXKiDA+byRx49VAx6juLjYaNOmjWG1Wo309PTy9nPnzhnt2rUzQkJCjIMHDzq9zrvvvmtIMkaPHm3YbLby9rfeesuQZDz44IOuKB+VqKs+nTVrliHJmDVrluuKRa0sX768vO8mT558Rf2zYsUKQ5LRt29fo7CwsLz9yy+/NCQZAwcOrMuS4URd9OnKlSsNScakSZPqvkDU2sKFC41Vq1ZVaF+zZo0RHBxs1K9f3ygoKHB6Hcaq56irPmWsepbS0lKHsVWmuLjY6N+/vyHJWLJkidPreMNY5bZDD7JixQrt27dPv/71rx1+4xIdHa0//vGPKioq0pw5c5xe51//+pckafLkybJYLOXtDz30kFq3bq0PPvhAFy9erPP6UVFd9Sk8z4033qiWLVv+omuUjdUXX3xRISEh5e1DhgxR//79tWzZMh0+fPgX/R2oubroU3iWO+64Q/369avQ3qdPHw0YMEBnz55VRkaG0+swVj1HXfUpPEtAQIDD2CoTFBSk22+/XZK0d+9ep9fxhrFK+PIgZc/tDBw4sMJ7gwYNkiStXr262msUFBRow4YNat++fYUvERaLRTfddJPy8/O1adOmuika1aqLPr1cenq6/v73v+vll1/W/Pnzdfr06TqpE+ZYtWqVwsPDlZKSUuG9K/n5gOfIzMzUtGnTNHnyZM2dO1dHjx41uyT8h+DgYEn2L3fOMFa9Q236tAxj1bPZbDZ99dVXkqSOHTs6Pd4bxirPfHmQzMxMSar0XtS4uDhFRESUH1OVffv2yWazVXk/a1l7Zmam+vTp8wsrhjN10aeXmz59usOfw8LCNGnSJE2cOPGXFQq3y8/P1/Hjx9WxY0cFBgZWeP/ysQrvM2/ePM2bN6/8z0FBQXrkkUf0t7/9rdL+hnsdPnxYX3/9tZo0aaLk5ORqj2Wseofa9OnlGKuepaioSH/9619lGIZOnz6tb775Rrt27dL999+vG264odpzvWWsMvPlQXJyciTZb0mrTFRUVPkxv+Qalx8H16qLPpWkVq1aacaMGdqzZ48uXLigI0eO6L333lODBg30zDPPaMaMGXVaN1yPseqbYmNjNWXKFG3btk15eXk6ceKEFi9erLZt22rq1Kl6+umnzS7R7xUXF+vee+9VYWGhXn75ZadfsBmrnq+2fSoxVj1VUVGRnn/+eb3wwgt64403tHv3bk2YMEHvvPOO03O9ZawSvgAv0K9fP/3hD39QYmKiwsLC1KxZM917771KS0tTaGioUlNTVVJSYnaZgN9LSkrSxIkTlZSUpPDwcDVu3FjDhg3TypUrFRsbq+nTp7Plh4lsNpvGjBmjNWvWaNy4cbr33nvNLgm/0JX2KWPVM0VERMgwDJWWliorK0tvvPGGZs6cqf79+ys3N9fs8uoE4cuDlCX1qhJ5bm5ulWm+Nte4/Di4Vl30aXWSkpLUu3dvnTlzRjt37rzi68D9GKv+JS4uTsOGDVNJSUmt95dC3bDZbHrggQc0b9483XPPPXr77bdrdB5j1XNdaZ9Wh7HqGQICAhQfH6/f/e53euedd7Ru3Tq99NJL1Z7jLWOV8OVBqrsXNTs7W3l5eU73JmjdurUCAgKqvJ+1umeQUPfqok+dadSokST7vc7wHuHh4WrSpIkOHDig0tLSCu8zVn0PY9U8NptN999/v+bMmaPRo0dr9uzZNdovSGKseqpf0qfOMFY9S9miZWWLmFXFW8Yq4cuDlC2dumzZsgrvpaWlORxTlbCwMPXo0UO7d++usEGoYRhavny5wsPD1a1btzqqGtWpiz6tTmlpafnKlSyR7X369eun/Px8rVu3rsJ7ZT8fffv2dXdZcJGy36KzKbp7lX1Jf++99zRy5EjNnTu31gspMFY9S130aXUYq57l2LFjki6tZlkdrxirJu8zhssUFxcbrVu3rnZD3gMHDpS3Hzt2zNi5c6dx7tw5h+uwybLnqKs+3bRpU4Vrl5SUGBMmTDAkGQMGDHDVR0ANONuQ9+TJk8bOnTuNkydPOrR7w2aQ/upK+7SysWoYhjFt2jRDkpGYmGiUlJTUdbmoQmlpqXHfffcZkowRI0YYxcXF1R7PWPV8ddWnjFXPsn37diM/P79Ce35+vjF48GBDkvHSSy+Vt3vzWLUYhmG4P/KhKitXrtSgQYMUGhqqUaNGKTIyUgsXLtShQ4f06quv6sknnyw/dsyYMZozZ45mzZqlMWPGlLfbbDYNHTpUaWlp6tWrl/r166e9e/dq0aJFSkhI0IYNGxQbG2vCp/NPddGnFotFnTp1UqdOndSsWTOdOXNGq1ev1p49exQfH6/Vq1erdevWJnw6/zVz5kytXbtWkpSRkaHNmzcrJSVFbdu2lST17t1bY8eOlSSlpqbq+eef16RJk5SamupwnXHjxmnmzJlKSkrSzTffrOPHj2v+/PmKiIjQ999/r3bt2rn1c/mzuujThIQEBQcHq1u3boqPj1d+fr7Wr1+v9PR0xcTEKC0tTT169HD7Z/NXZf0UERGhRx99tNL9n4YPH64uXbo4HM9Y9Vx11aeMVc+Smpqq1157Tb1791ZCQoKioqJ09OhRLV26VKdPn1afPn2UlpamsLCw8uO9dqyanf5Q0YYNG4zBgwcbUVFRRlhYmNGjRw/jo48+qnBc2W9+KvvNbEFBgZGammq0adPGCAkJMeLi4oyxY8ca2dnZbvgE+E+/tE+ffPJJIyUlxbjqqquM4OBgIzw83OjcubPx3HPPGWfOnHHTp8Dlyvqqqtd9991XfuykSZMMScakSZMqXKe0tNR4/fXXjaSkJMNqtRoNGzY0Ro4caezdu9d9HwaGYdRNn06ZMsUYMGCA0bRpU8NqtRphYWFGhw4djMcee8zIyspy7weC0z79z/+9Zax6vrrqU8aqZ9m4caMxbtw4IykpyYiJiTGCgoKMhg0bGgMGDDD++c9/Vpjh9OaxyswXAAAAALgBC24AAAAAgBsQvgAAAADADQhfAAAAAOAGhC8AAAAAcAPCFwAAAAC4AeELAAAAANyA8AUAAAAAbkD4AgAAAAA3IHwBAPxOamqqLBaLLBaL2aUAAPwI4QsAAAAA3IDwBQDwGbNnzy6f0Tp48KDZ5QAA4IDwBQDwO6mpqTIMQ4ZhmF0KAMCPEL4AAAAAwA0IXwAAAADgBoQvAIDXW7VqlSwWi+6///7ytlatWpU//1X2WrVqlSTnqx0mJCTIYrFozJgxkqTNmzfrN7/5jZo3b66wsDC1bdtWTzzxhE6dOuVw3nfffacRI0aoRYsWCg0NVZs2bTRx4kSdP3/e6Wew2WyaN2+ehg8frvj4eFmtVtWvX189e/bUSy+9pJycnCv7xwEAeIwgswsAAMCTzZ07V2PHjlVRUVF52759+zR16lR98cUXWr16teLi4vTqq6/q6aefdniObP/+/XrllVf09ddfa/Xq1YqIiKj07zhy5IiGDx+uH3/80aG9qKhIP/zwg3744Qf94x//0Geffabu3bu75oMCAFyOmS8AgNfr3r27MjIy9Je//KW8LS0tTRkZGQ6v2gaXrVu3auzYsWrbtq3effddbdy4UStWrNA999wjSdqzZ48mTJigRYsW6amnnlLPnj31wQcfaNOmTfrqq680dOhQSfaZs8tru9yZM2fUp08f/fjjjwoODta4ceM0f/58bdiwQWvWrNELL7ygBg0aKDs7W0OGDNHhw4ev8F8JAGA2i8FSTwAAHzF79uzyWw8PHDighISESo9LTU3V888/L0mVrniYkJCgQ4cOSZKuv/56LV++XPXq1XM4ZsSIEVqwYIECAwMVHR2tAQMGaP78+QoMDCw/prS0VL1799b69evVsGFDZWdnKyjI8aaTe++9V++//76aNm2qFStWqH379hXqOXDggH71q1/pxIkTuueeezR37tya/6MAADwGM18AAFTBYrFo5syZFYKXJD388MOS7AGroKBA77zzjkPwkqTAwEA9+OCDkqTTp09rx44dDu8fOnRIH374oSRp2rRplQYvyf782p///GdJ0vz583XhwoVf9sEAAKYgfAEAUIVOnTrp6quvrvS9zp07l//3TTfdpAYNGjg9bv/+/Q7vLVmyRKWlpQoODtawYcOqraVv376SpOLiYm3atKlG9QMAPAsLbgAAUIV27dpV+V5MTEytj/vPVQ/LQlRxcbGsVmuN68rOzq7xsQAAz8HMFwAAVajsdsMyAQEBtT6utLTU4b2ff/75iuritkMA8E7MfAEAYJKyMBYVFaV169bV+Lz4+HhXlQQAcCHCFwAAJmnUqJEkKS8vT4mJibW69RAA4H247RAA4DMsFovZJdRK165dJUk2m03ff/+9ydUAAFyN8AUA8BmhoaHl/11YWGhiJTVz6623lgfGqVOnmlwNAMDVCF8AAJ/RpEmT8v/et2+fiZXUTLt27TRy5EhJ0meffaYXX3yx2uOzs7M1c+ZMd5QGAHABnvkCAPiMrl27KjQ0VAUFBfrTn/6k4OBgtWzZsnzFwWbNmiksLMzkKh29+eab2rRpk/bu3as///nP+uKLL3T//fcrOTlZYWFhOnv2rLZt26bly5crLS1NnTp10tixY80uGwBwBQhfAACfERkZqfHjx+uVV17R5s2bNXDgQIf3V65cqf79+5tTXBXq16+vdevWafTo0VqxYoU2bNigDRs2VHl8VFSUG6sDANQlwhcAwKdMmTJFiYmJeu+997R9+3bl5ORU2F/L0zRu3FjffPON0tLSNG/ePH333XfKzs5WQUGBoqOj1bp1a/Xs2VNDhw6tECgBAN7DYhiGYXYRAAAAAODrWHADAAAAANyA8AUAAAAAbkD4AgAAAAA3IHwBAAAAgBsQvgAAAADADQhfAAAAAOAGhC8AAAAAcAPCFwAAAAC4AeELAAAAANyA8AUAAAAAbkD4AgAAAAA3IHwBAAAAgBsQvgAAAADADQhfAAAAAOAGhC8AAAAAcIP/D8F5LbRVZ0APAAAAAElFTkSuQmCC", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "execution_count": null, + "metadata": {}, + "outputs": [], "source": [ "fig = results.states.plot()" ] @@ -247,10 +187,152 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "* Threshold keys\n", - "* horizon\n", - "* print\n", - "* progress" + "In the first section we introduced simulating to a set time. For most applications, users are not interested in the system evolution over a certain timeperiod, but instead in simulating to some event of interest.\n", + "\n", + "In this section we will introduce the concept of simulating until an event occurs. This section builds upon the concepts introduced in the previous section.\n", + "\n", + "Just like in the previous section, we will start by preparing the ThrownObject model. " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from progpy.models import ThrownObject\n", + "m = ThrownObject()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If you recall, the ThrownObject model is of an object thrown into the air. The model has two events, `impact` and `falling`. In a real prognostic models, these events will likely correspond with some failure, fault, or warning threshold. That said, events can be any event of interest that a user would like to predict. \n", + "\n", + "Now let's repeat the simulation from the previous example, this time simulating until an event has occured by using the [`simulate_to_threshold`](https://nasa.github.io/progpy/api_ref/prog_models/PrognosticModel.html#prog_models.PrognosticsModel.simulate_to_threshold) method." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results = m.simulate_to_threshold(save_freq=0.5)\n", + "fig = results.outputs.plot(ylabel='Position (m)')\n", + "fig = results.event_states.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Note that simulation continued beyond the 3 seconds used in the first section. Instead simulation stopped at 4 seconds, at which point the `falling` event state reached 0 and the position (`x`) reached the apogee of its path." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By default, `simulate_to_threshold` simulates until the first event occurs. In this case, that's `falling` (i.e., when the object begins falling). For this model `falling` will always occur before `impact`, but for many models you wont have such a strict ordering of events. \n", + "\n", + "For users interested in when a specific event is reached, you can indicate that using the `threshold_keys` argument. For example," + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results = m.simulate_to_threshold(save_freq=0.5, threshold_keys='impact')\n", + "fig = results.outputs.plot(ylabel='Position (m)')\n", + "fig = results.event_states.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now the model simulated past the `falling` event untill the `impact` event occured. `threshold_keys` accepts a single event, or a list of events, so for models with many events you can specify a list of events where any will stop simulation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Frequently users are interested in simulating to a threshold, only if it occurs within some horizon of interest, like a mission time or planning horizon. This is accomplished with the `horizon` keyword argument. \n", + "\n", + "For example, if we were only interested in events occuring in the next 7 seconds we could set `horizon` to 7, like below:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results = m.simulate_to_threshold(save_freq=0.5, threshold_keys='impact', horizon=7)\n", + "fig = results.outputs.plot(ylabel='Position (m)')\n", + "fig = results.event_states.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Notice that now simulation stopped at 7 seconds, even though the event had not yet occured. If we use a horizon after the event, like 10 seconds, then simulation stops at the event." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results = m.simulate_to_threshold(save_freq=0.5, threshold_keys='impact', horizon=10)\n", + "fig = results.outputs.plot(ylabel='Position (m)')\n", + "fig = results.event_states.plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The 7 and 10 second horizon is used as an example. In most cases, the simulation horizon will be much longer. For example, you can imagine a user who's interested in prognostics for a one hour drone flight might set the horizon to a little over an hour. A user who has a month-long maintenance scheduling window might chose a horizon of one month. \n", + "\n", + "It is good practice to include a horizon with most simulations to prevent simulations continuing indefinitely for the case where the event never happens." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One final note: you can also use the print and progress options to track progress during long simulations, like below:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "results = m.simulate_to_threshold(save_freq=0.5, threshold_keys='impact', print=True, progress=True)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For most users running this in Jupyter notebook, the output will be truncated, but it gives an idea of what would be shown when selecting these options." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is a basic example of simulating to an event. However, this is still just an example. Most models will have some form of input or loading. Simulating these models is described in the following section. The remainder of the sections go through various features for customizing simulation further." ] }, { @@ -295,7 +377,9 @@ "metadata": {}, "source": [ "## Conclusions\n", - "..." + "...\n", + "\n", + "simulate_to_event(), events" ] } ], From 87901489ce929bcc04d460ae83eb7061bec238f6 Mon Sep 17 00:00:00 2001 From: Christopher Teubert Date: Thu, 24 Aug 2023 08:42:52 -0700 Subject: [PATCH 2/2] Resolve review comments --- examples/01_Simulation.ipynb | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/examples/01_Simulation.ipynb b/examples/01_Simulation.ipynb index a54e9928..11688e53 100644 --- a/examples/01_Simulation.ipynb +++ b/examples/01_Simulation.ipynb @@ -187,7 +187,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "In the first section we introduced simulating to a set time. For most applications, users are not interested in the system evolution over a certain timeperiod, but instead in simulating to some event of interest.\n", + "In the first section we introduced simulating to a set time. For most applications, users are not interested in the system evolution over a certain time period, but instead in simulating to some event of interest.\n", "\n", "In this section we will introduce the concept of simulating until an event occurs. This section builds upon the concepts introduced in the previous section.\n", "\n", @@ -208,7 +208,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "If you recall, the ThrownObject model is of an object thrown into the air. The model has two events, `impact` and `falling`. In a real prognostic models, these events will likely correspond with some failure, fault, or warning threshold. That said, events can be any event of interest that a user would like to predict. \n", + "If you recall, the ThrownObject model is of an object thrown into the air. The model has two events, `impact` and `falling`. In real prognostic models, these events will likely correspond with some failure, fault, or warning threshold. That said, events can be any event of interest that a user would like to predict. \n", "\n", "Now let's repeat the simulation from the previous example, this time simulating until an event has occured by using the [`simulate_to_threshold`](https://nasa.github.io/progpy/api_ref/prog_models/PrognosticModel.html#prog_models.PrognosticsModel.simulate_to_threshold) method." ] @@ -235,9 +235,9 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "By default, `simulate_to_threshold` simulates until the first event occurs. In this case, that's `falling` (i.e., when the object begins falling). For this model `falling` will always occur before `impact`, but for many models you wont have such a strict ordering of events. \n", + "By default, `simulate_to_threshold` simulates until the first event occurs. In this case, that's `falling` (i.e., when the object begins falling). For this model `falling` will always occur before `impact`, but for many models you won't have such a strict ordering of events. \n", "\n", - "For users interested in when a specific event is reached, you can indicate that using the `threshold_keys` argument. For example," + "For users interested in when a specific event is reached, you can indicate which event(s) you'd like to simulate to using the `threshold_keys` argument. For example," ] }, {