diff --git a/dev/JaxPM_ODE-tCOLA.ipynb b/dev/JaxPM_ODE-tCOLA.ipynb new file mode 100644 index 0000000..abbb504 --- /dev/null +++ b/dev/JaxPM_ODE-tCOLA.ipynb @@ -0,0 +1,913 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "2bb083b7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "%pylab is deprecated, use %matplotlib inline and import the required libraries.\n", + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "458efc98", + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import jax.numpy as jnp\n", + "import jax.lax as lax\n", + "import jax_cosmo as jc" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "da00e618", + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "import flowpm\n", + "from flowpm.tfpower import linear_matter_power\n", + "import flowpm.scipy.interpolate as interpolate" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b588c18c", + "metadata": {}, + "outputs": [], + "source": [ + "from jaxpm.kernels import *\n", + "from jaxpm.painting import *\n", + "from jaxpm.growth import *" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f0cba7a4", + "metadata": {}, + "outputs": [], + "source": [ + "# Below are a few parameters\n", + "box_size = [100.,100., 100.] # Transverse comoving size of the simulation volume\n", + "nc = [100, 100, 100] # Number of transverse voxels in the simulation volume\n", + "batch_size = 1 # Number of simulations to run in parallel" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "8dad416f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2022-02-14 00:21:13.509002: E tensorflow/stream_executor/cuda/cuda_blas.cc:232] failed to create cublas handle: CUBLAS_STATUS_NOT_INITIALIZED\n", + "2022-02-14 00:21:13.509025: E tensorflow/stream_executor/cuda/cuda_blas.cc:234] Failure to initialize cublas may be due to OOM (cublas needs some free memory when you initialize it, and your deep-learning framework may have preallocated more than its fair share), or may be because this binary was not built with support for the GPU in your machine.\n", + "2022-02-14 00:21:13.509034: W tensorflow/stream_executor/stream.cc:1260] attempting to perform BLAS operation using StreamExecutor without BLAS support\n" + ] + }, + { + "ename": "InternalError", + "evalue": "BlasScal failed : in.shape=[1,100,100,100] [Op:IFFT3D]", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mInternalError\u001b[0m Traceback (most recent call last)", + "Input \u001b[0;32mIn [6]\u001b[0m, in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 6\u001b[0m pk \u001b[38;5;241m=\u001b[39m linear_matter_power(cosmology, k)\n\u001b[1;32m 7\u001b[0m pk_fun \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m x: tf\u001b[38;5;241m.\u001b[39mcast(tf\u001b[38;5;241m.\u001b[39mreshape(interpolate\u001b[38;5;241m.\u001b[39minterp_tf(tf\u001b[38;5;241m.\u001b[39mreshape(tf\u001b[38;5;241m.\u001b[39mcast(x, tf\u001b[38;5;241m.\u001b[39mfloat32), [\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]), k, pk), x\u001b[38;5;241m.\u001b[39mshape), tf\u001b[38;5;241m.\u001b[39mcomplex64)\n\u001b[0;32m----> 8\u001b[0m initial_conditions \u001b[38;5;241m=\u001b[39m \u001b[43mflowpm\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlinear_field\u001b[49m\u001b[43m(\u001b[49m\u001b[43mnc\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 9\u001b[0m \u001b[43m \u001b[49m\u001b[43mbox_size\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 10\u001b[0m \u001b[43m \u001b[49m\u001b[43mpk_fun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[43m \u001b[49m\u001b[43mbatch_size\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mbatch_size\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 13\u001b[0m initial_state \u001b[38;5;241m=\u001b[39m flowpm\u001b[38;5;241m.\u001b[39mlpt_init(cosmology, initial_conditions, \u001b[38;5;241m0.1\u001b[39m, order\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m1\u001b[39m)\n", + "File \u001b[0;32m~/repo/flowpm/flowpm/tfpm.py:62\u001b[0m, in \u001b[0;36mlinear_field\u001b[0;34m(nc, boxsize, pk, kvec, batch_size, seed, dtype, name)\u001b[0m\n\u001b[1;32m 59\u001b[0m whitec \u001b[38;5;241m=\u001b[39m white_noise(nc, batch_size\u001b[38;5;241m=\u001b[39mbatch_size, seed\u001b[38;5;241m=\u001b[39mseed, \u001b[38;5;28mtype\u001b[39m\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mcomplex\u001b[39m\u001b[38;5;124m'\u001b[39m)\n\u001b[1;32m 60\u001b[0m lineark \u001b[38;5;241m=\u001b[39m tf\u001b[38;5;241m.\u001b[39mmultiply(whitec, (pkmesh \u001b[38;5;241m/\u001b[39m\n\u001b[1;32m 61\u001b[0m (boxsize[\u001b[38;5;241m0\u001b[39m] \u001b[38;5;241m*\u001b[39m boxsize[\u001b[38;5;241m1\u001b[39m] \u001b[38;5;241m*\u001b[39m boxsize[\u001b[38;5;241m2\u001b[39m]))\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m0.5\u001b[39m)\n\u001b[0;32m---> 62\u001b[0m linear \u001b[38;5;241m=\u001b[39m \u001b[43mc2r3d\u001b[49m\u001b[43m(\u001b[49m\u001b[43mlineark\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mnorm\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mnc\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mnc\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mnc\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mname\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdtype\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mdtype\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 63\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m linear\n", + "File \u001b[0;32m~/repo/flowpm/flowpm/utils.py:271\u001b[0m, in \u001b[0;36mc2r3d\u001b[0;34m(cfield, norm, dtype, name)\u001b[0m\n\u001b[1;32m 268\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 269\u001b[0m norm \u001b[38;5;241m=\u001b[39m tf\u001b[38;5;241m.\u001b[39mcast(norm, dtype)\n\u001b[1;32m 270\u001b[0m rfield \u001b[38;5;241m=\u001b[39m tf\u001b[38;5;241m.\u001b[39mmultiply(\n\u001b[0;32m--> 271\u001b[0m tf\u001b[38;5;241m.\u001b[39mcast(\u001b[43mtf\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msignal\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mifft3d\u001b[49m\u001b[43m(\u001b[49m\u001b[43mcfield\u001b[49m\u001b[43m)\u001b[49m, dtype), norm, name\u001b[38;5;241m=\u001b[39mname)\n\u001b[1;32m 272\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m rfield\n", + "File \u001b[0;32m/usr/lib/python3.10/site-packages/tensorflow/python/ops/gen_spectral_ops.py:809\u001b[0m, in \u001b[0;36mifft3d\u001b[0;34m(input, name)\u001b[0m\n\u001b[1;32m 807\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _result\n\u001b[1;32m 808\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m _core\u001b[38;5;241m.\u001b[39m_NotOkStatusException \u001b[38;5;28;01mas\u001b[39;00m e:\n\u001b[0;32m--> 809\u001b[0m \u001b[43m_ops\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mraise_from_not_ok_status\u001b[49m\u001b[43m(\u001b[49m\u001b[43me\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 810\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m _core\u001b[38;5;241m.\u001b[39m_FallbackException:\n\u001b[1;32m 811\u001b[0m \u001b[38;5;28;01mpass\u001b[39;00m\n", + "File \u001b[0;32m/usr/lib/python3.10/site-packages/tensorflow/python/framework/ops.py:7186\u001b[0m, in \u001b[0;36mraise_from_not_ok_status\u001b[0;34m(e, name)\u001b[0m\n\u001b[1;32m 7184\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mraise_from_not_ok_status\u001b[39m(e, name):\n\u001b[1;32m 7185\u001b[0m e\u001b[38;5;241m.\u001b[39mmessage \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m (\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m name: \u001b[39m\u001b[38;5;124m\"\u001b[39m \u001b[38;5;241m+\u001b[39m name \u001b[38;5;28;01mif\u001b[39;00m name \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m \u001b[38;5;28;01melse\u001b[39;00m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[0;32m-> 7186\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m core\u001b[38;5;241m.\u001b[39m_status_to_exception(e) \u001b[38;5;28;01mfrom\u001b[39;00m \u001b[38;5;28mNone\u001b[39m\n", + "\u001b[0;31mInternalError\u001b[0m: BlasScal failed : in.shape=[1,100,100,100] [Op:IFFT3D]" + ] + } + ], + "source": [ + "# Instantiates a cosmology with desired parameters\n", + "cosmology = flowpm.cosmology.Planck15()\n", + "\n", + "# Create some initial conditions\n", + "k = tf.constant(np.logspace(-4, 1, 128), dtype=tf.float32)\n", + "pk = linear_matter_power(cosmology, k)\n", + "pk_fun = lambda x: tf.cast(tf.reshape(interpolate.interp_tf(tf.reshape(tf.cast(x, tf.float32), [-1]), k, pk), x.shape), tf.complex64)\n", + "initial_conditions = flowpm.linear_field(nc,\n", + " box_size, \n", + " pk_fun, \n", + " batch_size=batch_size)\n", + "\n", + "initial_state = flowpm.lpt_init(cosmology, initial_conditions, 0.1, order=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "5ad12a1e", + "metadata": {}, + "outputs": [], + "source": [ + "@tf.function\n", + "def solve_tf(init_state):\n", + " final_state = flowpm.nbody(cosmology, initial_state, linspace(0.1,1.,40), nc)\n", + " return final_state" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "7d4780a8", + "metadata": {}, + "outputs": [], + "source": [ + "final_state = solve_tf(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "6a94dae9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.3 s ± 2.59 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit final_state = solve_tf(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "e5148fed", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow(flowpm.cic_paint(tf.zeros([1]+nc), final_state[0]).numpy()[0].sum(axis=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "cf61ff87", + "metadata": {}, + "outputs": [], + "source": [ + "mesh_shape = nc\n", + "kvec = fftk(mesh_shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "bc83bc0c", + "metadata": {}, + "outputs": [], + "source": [ + "# We need the vel and forces from lpt\n", + "def lpt1(delta_k, pos): \n", + " pot_k = delta_k * laplace_kernel(kvec)\n", + " return jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k), pos) for i in range(3)],axis=-1)\n", + " \n", + "def lpt(cosmo, linear, pos, a):\n", + " delta_k = jnp.fft.rfftn(linear)\n", + " a = jnp.atleast_1d(a)\n", + " lpt_dx = lpt1(delta_k, pos)\n", + " dx = growth_factor(cosmo, a) * lpt_dx\n", + " p = a**2 * growth_rate(cosmo, a) * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dx\n", + " f = a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dGfa(cosmo, a) / growth_factor(cosmo, a) * dx\n", + " return lpt_dx, dx, p, f" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "ab85a109", + "metadata": {}, + "outputs": [], + "source": [ + "pos0 = jnp.stack(jnp.meshgrid(jnp.arange(100), jnp.arange(100), jnp.arange(100)), axis=-1).reshape([-1,3])" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "02141439", + "metadata": {}, + "outputs": [], + "source": [ + "lpt_dx, x, p,f = lpt(jc.Planck15(), initial_conditions[0].numpy(), pos0, 1.)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "4225880e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow(cic_paint(jnp.zeros(mesh_shape), pos0+x).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "167d193f", + "metadata": {}, + "outputs": [], + "source": [ + "# Define the ODE\n", + "def f(state, a, cosmo, lpt_dx):\n", + " # Extracts positions and velocity at a given point in\n", + " # the simulation\n", + " res_pos, res_vel = state\n", + " a = jnp.atleast_1d(a)\n", + " pos = pos0 + growth_factor(cosmo, a) * lpt_dx + res_pos\n", + " \n", + " # Computes the potential given the current positions\n", + " delta_k = jnp.fft.rfftn(cic_paint(jnp.zeros(mesh_shape), pos))\n", + " pot_k = delta_k * laplace_kernel(kvec) * longrange_kernel(kvec,r_split=0)\n", + " forces = jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k), pos) \n", + " for i in range(3)],axis=-1)\n", + " forces = forces * 1.5 * cosmo.Omega_m\n", + " \n", + " # Computes the update of position (drift)\n", + " dpos = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * res_vel\n", + " \n", + " # Computes the update of velocity (kick)\n", + " dvel = 1. / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * forces - dGfa(cosmo, a) * lpt_dx\n", + " \n", + " return dpos, dvel" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "ce83d3b8", + "metadata": {}, + "outputs": [], + "source": [ + "import diffrax\n", + "from diffrax import diffeqsolve, ODETerm, Dopri5, LeapfrogMidpoint, PIDController" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "d4e7b055", + "metadata": {}, + "outputs": [], + "source": [ + "cosmo = jc.Planck15()\n", + "\n", + "def f_diffrax(t, state, args):\n", + " return jnp.stack(f(state, t, cosmo, lpt_dx),axis=0)\n", + "\n", + "\n", + "term = ODETerm(f_diffrax)\n", + "solver = Dopri5()\n", + "stepsize_controller = PIDController(rtol=1e-5, atol=1e-5)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "37285eb4", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/francois/.local/lib/python3.10/site-packages/jax/_src/numpy/lax_numpy.py:6655: UserWarning: Explicitly requested dtype requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/google/jax#current-gotchas for more.\n", + " lax._check_user_dtype_supported(dtype, \"astype\")\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(1000000, 8)\n", + "(1000000, 8)\n", + "(1000000, 8)\n", + "(1000000, 8)\n", + "(1000000, 8)\n", + "(1000000, 8)\n", + "(1000000, 8)\n", + "(1000000, 8)\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2022-02-14 00:10:24.488749: E external/org_tensorflow/tensorflow/compiler/xla/pjrt/pjrt_stream_executor_client.cc:2124] Execution of replica 0 failed: INTERNAL: Failed to load in-memory CUBIN: CUDA_ERROR_OUT_OF_MEMORY: out of memory\n" + ] + }, + { + "ename": "RuntimeError", + "evalue": "INTERNAL: Failed to load in-memory CUBIN: CUDA_ERROR_OUT_OF_MEMORY: out of memory", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mRuntimeError\u001b[0m Traceback (most recent call last)", + "Input \u001b[0;32mIn [31]\u001b[0m, in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m init_state \u001b[38;5;241m=\u001b[39m jnp\u001b[38;5;241m.\u001b[39mstack([jnp\u001b[38;5;241m.\u001b[39mzeros((\u001b[38;5;241m100\u001b[39m,\u001b[38;5;241m100\u001b[39m,\u001b[38;5;241m100\u001b[39m,\u001b[38;5;241m3\u001b[39m))\u001b[38;5;241m.\u001b[39mreshape((\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m,\u001b[38;5;241m3\u001b[39m)),\n\u001b[1;32m 2\u001b[0m jnp\u001b[38;5;241m.\u001b[39mzeros((\u001b[38;5;241m100\u001b[39m,\u001b[38;5;241m100\u001b[39m,\u001b[38;5;241m100\u001b[39m,\u001b[38;5;241m3\u001b[39m))\u001b[38;5;241m.\u001b[39mreshape((\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m,\u001b[38;5;241m3\u001b[39m))], axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m)\n\u001b[0;32m----> 4\u001b[0m solution \u001b[38;5;241m=\u001b[39m \u001b[43mdiffeqsolve\u001b[49m\u001b[43m(\u001b[49m\u001b[43mterm\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43msolver\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt0\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0.1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mt1\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1.\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mdt0\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m0.1\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[43m \u001b[49m\u001b[43my0\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43minit_state\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mstepsize_controller\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43mstepsize_controller\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/.local/lib/python3.10/site-packages/equinox/jit.py:90\u001b[0m, in \u001b[0;36mfilter_jit..fun_wrapper\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 88\u001b[0m static_leaves, static_treedef \u001b[38;5;241m=\u001b[39m jax\u001b[38;5;241m.\u001b[39mtree_flatten((static_args, static_kwargs))\n\u001b[1;32m 89\u001b[0m static_leaves \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mtuple\u001b[39m(static_leaves)\n\u001b[0;32m---> 90\u001b[0m dynamic_out, static_out \u001b[38;5;241m=\u001b[39m \u001b[43m_filter_jit_cache\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mjitkwargs\u001b[49m\u001b[43m)\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 91\u001b[0m \u001b[43m \u001b[49m\u001b[43mstatic_leaves\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 92\u001b[0m \u001b[43m \u001b[49m\u001b[43mstatic_treedef\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 93\u001b[0m \u001b[43m \u001b[49m\u001b[43mdynamic_args\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 94\u001b[0m \u001b[43m \u001b[49m\u001b[43mdynamic_kwargs\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 95\u001b[0m \u001b[43m \u001b[49m\u001b[43mfilter_spec_return\u001b[49m\u001b[43m,\u001b[49m\n\u001b[1;32m 96\u001b[0m \u001b[43m\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 97\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m combine(dynamic_out, static_out\u001b[38;5;241m.\u001b[39mvalue)\n", + " \u001b[0;31m[... skipping hidden 6 frame]\u001b[0m\n", + "File \u001b[0;32m~/.local/lib/python3.10/site-packages/jax/_src/dispatch.py:444\u001b[0m, in \u001b[0;36m_execute_compiled\u001b[0;34m(name, compiled, output_buffer_counts, result_handlers, kept_var_idx, *args)\u001b[0m\n\u001b[1;32m 441\u001b[0m device, \u001b[38;5;241m=\u001b[39m compiled\u001b[38;5;241m.\u001b[39mlocal_devices()\n\u001b[1;32m 442\u001b[0m input_bufs \u001b[38;5;241m=\u001b[39m util\u001b[38;5;241m.\u001b[39mflatten(\n\u001b[1;32m 443\u001b[0m device_put(x, device) \u001b[38;5;28;01mfor\u001b[39;00m i, x \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28menumerate\u001b[39m(args) \u001b[38;5;28;01mif\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m kept_var_idx)\n\u001b[0;32m--> 444\u001b[0m out_bufs \u001b[38;5;241m=\u001b[39m \u001b[43mcompiled\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mexecute\u001b[49m\u001b[43m(\u001b[49m\u001b[43minput_bufs\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 445\u001b[0m check_special(name, out_bufs)\n\u001b[1;32m 446\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m output_buffer_counts \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n", + "\u001b[0;31mRuntimeError\u001b[0m: INTERNAL: Failed to load in-memory CUBIN: CUDA_ERROR_OUT_OF_MEMORY: out of memory" + ] + } + ], + "source": [ + "init_state = jnp.stack([jnp.zeros((100,100,100,3)).reshape((-1,3)),\n", + " jnp.zeros((100,100,100,3)).reshape((-1,3))], axis=0)\n", + "\n", + "solution = diffeqsolve(term, solver, t0=0.1, t1=1., dt0=0.1,\n", + " y0=init_state, stepsize_controller=stepsize_controller)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "9fc54299", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "421 ms ± 2.28 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit solution = diffeqsolve(term, solver, t0=0.1, t1=1., dt0=0.1, y0=init_state+0, stepsize_controller=stepsize_controller)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "325ee24c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Solution(t0=DeviceArray(0.1, dtype=float32), t1=DeviceArray(1., dtype=float32), ts=DeviceArray([1.], dtype=float32, weak_type=True), ys=DeviceArray([[[[-0.05698265, -0.4233138 , -0.23527317],\n", + " [-0.4048839 , -0.18278353, 0.10613398],\n", + " [-0.39811632, 0.36003193, 0.5207157 ],\n", + " ...,\n", + " [-0.12596521, 0.04650298, 0.12780993],\n", + " [ 0.10532238, 0.22021866, -0.00881826],\n", + " [ 0.21299808, 0.42117628, -0.05347536]],\n", + "\n", + " [[-0.07113229, -0.40208206, -0.18125573],\n", + " [-0.3594675 , -0.14042078, 0.1074788 ],\n", + " [-0.29909593, 0.34923548, 0.42418486],\n", + " ...,\n", + " [-0.2394397 , 0.07868364, 0.09896102],\n", + " [ 0.06142797, 0.22736594, 0.05615562],\n", + " [ 0.18805356, 0.38284227, -0.00324537]]]], dtype=float32, weak_type=True), interpolation=None, stats={'compiled_num_steps': None, 'max_steps': 4096, 'num_accepted_steps': DeviceArray(22, dtype=int32, weak_type=True), 'num_rejected_steps': DeviceArray(6, dtype=int32, weak_type=True), 'num_steps': DeviceArray(28, dtype=int32, weak_type=True)}, result=DeviceArray(0, dtype=int32, weak_type=True), solver_state=None, controller_state=None, made_jump=None)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "solution" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "f131301b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1, 2, 1000000, 3)" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "solution.ys.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "a5f4d029", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "resx = solution.ys[0,0]+pos0+x\n", + "imshow(cic_paint(jnp.zeros(mesh_shape), resx).sum(axis=0),cmap='gist_stern'); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "654d9c69", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow((cic_paint(jnp.zeros(mesh_shape), resx) - \n", + " flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]).numpy()[0]).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "32357464", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "547af8a9", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8f5cac4d", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "aa14a004", + "metadata": {}, + "outputs": [], + "source": [ + "from jax.experimental.ode import odeint" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "973ca031", + "metadata": {}, + "outputs": [], + "source": [ + "init_state = [jnp.zeros((64,64,64,3)).reshape((-1,3)),\n", + " jnp.zeros((64,64,64,3)).reshape((-1,3))]\n", + "\n", + "@jax.jit\n", + "def solve_ode(init_state):\n", + " cosmo = jc.Planck15()\n", + " return odeint(f, init_state, \n", + " jnp.linspace(0.1,1.0,10), \n", + " cosmo,\n", + " lpt_dx, rtol=1e-5, atol=1e-5)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "e801c3eb", + "metadata": {}, + "outputs": [], + "source": [ + "res = solve_ode(init_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "de770afb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "765 ms ± 7.45 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit res = solve_ode(init_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "4bdfe23f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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vBMnbJUI82AxLZVtk1+60bZyfqt6zsOQmG3OpWyi5/+gJu4yyElh4EwDmdk0svB96obpudcZlOaTClNhFoKmauvTZm9XlOPbieasIBYkntyAIBoz53NL1TtzcgiCoMQiSR3FzC4LAUEgehVm6LATkbxh2/iyaiq+FUjQUban5r3j6vZZSxGKHQ4t+DwBKhTxqvjSTHkX9SKTTLIuGVDD10R5c4MaHBDSNlb9YOfQht2lPemqSdpZQTUmMo/GTJkREjX/S+5E4FEKaQ01SyOgo9ZHGw6l2yJnqXOe+li2rfVyw1+bQMaqxSyFBtVqwXJzGpWaxgKdJsepZYMfyCZ9bEAQDR6EKEmZpEAQDRpF+FTe35SGyYK74iHkWqExFtBshRa91T4/S9XqhHAmfiJg3qhoJMUYjpNislpGqfVoTw+wuvl4NjupHc8iB2a2f/Jqj9VLmvdH1dKYKh3EkaiPYBW48ctrOhZNwBsrcDdcsvB966aRtkkxFnTxjlplwHj5nF53pOTWFJowbwIWQwF9n8+v5cBU+7o02o8WMnRlTP960ns84mf880wtzMp7cgiAYUCJDIQiCgSNmS1fKvHnoH6uzlLnGphZtVzP5UtH6DZHwPguBRQXdrJYteUfbeBOEI/xzl8CfSpxvMEVrSe/cJ2+aZw2R/N4NwGaYL03YUBKwVnqPE7m9ScmzuE2iBQAyNtFqYpVVPzqT1eyjskAC0FgC0PfZmJc+KZ2EJmtCkDyL67ejWVGhTAPZaGd3eRZbfClFNuHZRG0weQHUTPheE2ZpEAQDx6DUUFj/t+cgCHqKApjTrNWrDSLyH0TkcRF5TEQ+KSIjqdrHInK3iDwjIk+JyLtWehxxcwuCoEauWavXUojI9QB+E8B+VX0DCr/SHWiofSwiN5fLX4+iXvLHRFLSEc30ORSEfCCdZnWIlHKGWeZ9F+wf6vpI+MWn0VOCiClfWra7qmbY3bbZ7urFl6s+uYj2ZJgLlztNKGmwUkfWsX5Gk6HQoKZS7CtRVCVfvI2an5QVVTqLiycCtvBLNuKyIdjXdd6FY7CPjPqY+zCTlv4nU/PW++ZYdcQLUnLWwAVXt5T7QtkQ+XZ3TRw7XS0752qmchsJ/6rdyGfP9NCM1J6bpUMARkVkFsAYgMMA7sbitY9vB/ApVZ0B8KyIPAPgVgBfX+5O48ktCALDvFhlmxeK2ioH6XWnaUv1JQD/E0WtlSMAzqjql+FqHwOYf1q4HsCL1MSh8rtlExMKQRDUWMaT2wlV3d+0sPSl3Q7gJgCTAP63iLwv0d5iO15Rkm2fzdKsis5ORP8n4e0kEWbhayhQyAEnutfMtdS+2ZSj5P6OExVk88do8wMQcMJ64pzxdq6P2XW7q0W7ttoufu/5qh8XXe1MhkxF8SEv3N6uKjMgH7cmpTzzQmPzHOIhEySMeXrS7mu2IQwCsCEkm0lMcs6JHVBYS82kJNPWhGN4U7apNq6nZhIvXrNCnTAEH0ttX16Ucr6NlAvD14mdvzZ7YE32WKzyZwA8q6rHAUBEPgvgJ9Fc+/gQgBto+70ozNhlE2ZpEAQGhWAuz1q9WvACgLeIyJgUvzzvBPAkmmsf3w/gDhHZKCI3AdgH4OGVHEeYpUEQ1OhV+pWqPiQinwbwTQBzAL4F4ACAcSxS+1hVHxeR+wA8Ua5/l6oX/WpH3NyCILBob/XcVPX3UBRzZ2bQUPtYVe8BcM/l7rf/oSBlCIjOuptxKv2q4fE3mcrkfCo5C0qyqobzexl/WWJaPmf1iaw5dKCW3sW+rkRYBAsY1gqF0LF1TrnwCVYdIfFE8f49DotIpPno2SpsQU6cssvofbZtwnZxW+VnO3VLtWzLs9vMesOHKoWP7s4tZlnGQpDnquPMnaIHUztnnDLHfq+Gup9FR+y1mXcTCircX/Izdk7Y9ru7q+PuDNk+5kePVx84TKl2LPni7812l39TGpQCMUsazSJyg4j8vYg8WUYZf7D8vjHCOAiC9U1exrot9VrLtPEIzgH4bVV9HYC3ALirjCJeNMI4CIL1jULQzbNWr7XMkmZpGWA3H2x3TkSeRBFUdzsWjzBONbYQelELU8hTIR6UvUAmQk1xIxGRb6bV2QRJRHbXahc0mcGuH0ZA0keSk3Z/TcefQx+4v27a34RMvHzcLDLj0yQY6fZVW8bqHKy44dUyxqqI/NS+5kaqcetM2WPWTVTjwJuK0yRCyfVHvZmeck8wnMHiTb6UgGkKDv9gpRUfYjRB9U69G4CzI3hMz5w1q+XsMvGukJWGVjVw1em5iciNAN4E4CG4CGMRuTa1bRAE6wPt8YTCatH65iYi4wA+A+C3VPVsKifTbXcngDsBYCQbX2LtIAjWArVqaeuQVkaziAyjuLF9QlU/W359tIwshoswNqjqAVXdr6r7N2Qji60SBMGaot1kwlp/ulvyya2MKv44gCdV9aO0aD7C+COwEcapxhZ8PbLZPsXlrK7qfSoc3mCEeBPpSz4Eo2G1WoqL2ZfzyzSlfiVqpHp/nPH7bPBpOA3+Ml9blYvp+NQpXjdxLD59x8BhIglfmnJ9Tz+O5C+69qWjzf0lX2vm6paadDddPM0JgCuY06z2Ya4J77NiX9d0ItQkNW7cJVfLVp6u0uJq3jEeOxrvWh3XxLmoxqA3tU4H4cmtzZl6G4BfAfBdEXm0/O53UdzUahHGQRCsb1SBbn4V3NxU9WtofvBZNMI4CIL1zVU3W3rZdHPkZUENX6CDqRXvaFBNqIVmJEICGhUWfKgGxX+kHvCzERo6Hy2eKMxi9uezI5rMDi9WySES3jQ3YS7UBIdcwI4pt1dslzC5GROW0zxawucvYcL788zXAZtoLNZZLCPzPhXSwbVrWWgTVkTTh7yYJnwYBxfkYRPYuxJ4E1e31IhvUsGZmnqIcTNcuRgzxdVjlgZBcFWx9icL2hA3tyAIaiQeXtcN/b25qQJlcrjmzRHinPBdLCMTikySmomQ00yTN38aaoKmXAvJNlrWEs18vVA2jfwVxOYtmySz1oQyJqCLTJfhynzLxiuBR2/y5lxv0x8nt8mJHanZad+PhhoN2bA7t7yeMzfzS1wTg4QmnUmWMln5vzSVlWGyI1IxnH6WldtsmeWQqt/A5yn17OT/RxbM7B7dlMIsDYJg4ChmS9d23mgb4uYWBEGNMEuDIBhIwixdLiJVWEPqp8H5qXianoUDvc9NUhHo4JCDtgoQzq/GbSaEA9mHkruIfOOjSYUcsO/I9zelAMF9pPVqKiymjUStTOOrdL4iVsSYc2EtDZkSNX8TizP6DAX2r5rsDRfGQW1kPvNlymYKLOAzDbgfY2N2maszytgCNM2hMSKcYZEw+RI+2VpGCzN/DfbgkUshcXMLgmAwGQCrNG5uQRA4FNCrIf2qp4g0P1rnzdHjRsyPts+cOWjCHVKzPWxqeROvZbiHMS00YZKl8P1vyF6ohWA0hbXAmnY51Vb1plyqDdspDsFIjUdiGeOzMsjUTbafMMX5etELNtvCZDlspRoN7hozWRouZEQ4pMYn1VPoDYtQSsf114TXeLGG5YttqjdtF+qW9qpqVdzcgiAYQGK2NAiCgSNyS4MgGEwUQNzclkkmkNFSncL73tgX4wpjGP8IT9lv3mzXo3qWPg1HZxues30xGvb7+On84QYlEEmk5HjYb1JLv1o8rSqVBlbzYVKqVlM4hm+/VgiHx5iL1vj+mqI7Cd9lCmojT4X2oPlY2J/YPW8PprN9YuH93K7qfecHL9k2yJeW7bblQE69effC+23fPGG3O1wJcdoCNK6P2hBGBFjfLtdZ9cof7GdzKXlJ//AKCLM0CIIBRGK2NAiCASWe3JZJnkPnI8an3S8DC/g5MT/kXJMgIYq4a2f1/sx5syyfPLP4RjU1i+ZQEA6zqCmXcJNziVCQWc48aM5sMGEtvh/Ux5oyCq3b2VoJVOZU97NcSvtyJg5hVEy84sYKwklW6suRocr8bp9hYkNDOj88XH3vMzZ47M/ajISJJ6uMBblgQ0Fy304T7FrwJmTW4GZIhYz4UJBe2pEaEwpBEAwq8eQWBMFgEk9uy0Mrk0KnrSlkxAg3ugRqfhzfUHVZNtkE5xM/Wc1qjR2z5trot6rSasplBP1MJ0Wj1xK5s8XNAh1xJdhm6Ni8uTBH5qw3adj87ja8h/1RrZWaa5o1S5TDq2UGSIPZ29YM9SS2Swlv8ixuRuaaP+aaad6wLD81uWh7AIw4qM448/v7z1XLnMuEXQS5z6zh9VicwJmUpvZCQnjTCFmmZuR7QUKbYb2w/hXpgiDoLfNxbm1eLRCRCRH5tIh8T0SeFJG3ish2EfmKiDxd/t1G698tIs+IyFMi8q6VHkbc3IIgqKHa7tWSPwTwRVX9EQBvBPAkgA8DeEBV9wF4oPwMEbkZwB0AXg/gNgAfE5EVBfHFzS0Igjra8rUEIrIFwE8B+DgAqOolVZ0EcDuAe8vV7gXwnvL97QA+paozqvosgGcA3LqSQ+irz01Vm2tzpuCIefKz5ZttLc7pndVj8vS/taEge/7brqq571Emg//5Ib9JPXyC4O1qPqtE/dTEzx37b7Kd26ttfNjJkWONbST7zLAPLhFZYQQpE0KTulLN/ZTwJvkgtUuClKzuAQB0zDU/KfvEzlQhHjUhSLPfRJ986BCHB3Fojz8urm/qfMrC/j4KI/J+NT19uvrQ44yEGr0LBXklgOMA/kxE3gjgEQAfBLBLVY8AgKoeEZH5tJDrAfwzbX+o/G7ZLHlFisiIiDwsIt8WkcdF5PfL7xtt5iAI1jei7V4AdorIQXrd6ZoaAvDjAP5YVd8EYAqlCdq060W+W1FgSpuf2xkA71DVNwK4BcBtIvIWNNjMQRCsc1SAvOULOKGq++l1wLV2CMAhVX2o/PxpFDe7oyKyBwDKv8do/Rto+70ADmMFLGmWavH8Pm/jDZcvRWEbv738/l4ADwL4UKotGeqgs714wFOnbW9MHj+lPlo9gs/trJLlO1N2qnxourrBf/PWT5plb37try+83/44mTtetDAj3X43FW9CJji8wU/Z83qpaHofIsHhCeOV+X3xeisQMHKSzBNnXmWjVb0JjsKvuQNS4RlNffYJ68s5tsbvE8n9FI/AkftekNKMsRea5BCSDpnsPhyDTcUJZ/aeOIVGaLyFszlqYT60zLkOZNsE9ZHrTTSbwJ4FE7ZX1mTP6p/qyyLyooi8VlWfAvBOAE+Ur/cD+Ej59/PlJvcD+CsR+SiA6wDsA/DwSvbdyudWzlY8AuDVAP5IVR8SkSabOQiC9U5vMxR+A8AnRGQDgB8C+DUUVuN9IvIBAC8AeC8AqOrjInIfipvfHIC7VL1uTTta3dzKxm8RkQkAnxORN7TdQWmD3wkAI53xJdYOgmBN0MtUVdVHAexfZNE7G9a/B8A9l7vfZU1xlVO4D6KIP2mymf02B+bt8Q3Z6GKrBEGwluhxEO9qseSTm4hcA2BWVSdFZBTAzwD47yhs48Vs5lRrC1PY3l9jUktceo2MVTdF42c7aoUD9/xt5Yt589Svm2XbHqsEMJVqidaKr3C3UulGPNWfmJav1a/0aVBm37Tzw9VvxeikVanIyedUU+po2Y9sA/t27LqSkZBlQoWlbTqWOWZfT3YoUYszo+sgIdTIviltUn8B7DnzfaeUq8ypupiUq4SfMeMwpYSih/d/mvAP8rXCqZM0tQfQ/8iF3oSuSm/N0lWhjVm6B8C9pd8tA3Cfqn5BRL6ORWzmIAgGgKvh5qaq3wHwpkW+P4kGmzkIgvXN1fLk1jsyqcIdfIQ41yad2GqWGdUNrg05MmLXI5Nkx/+1GQqskZ8nlChs1H27M+yn6GthAEzrWqjULx8xn4qg534k+t82U8RkKPj2UtkFbPZxzQdnTik9IqTUPkxd0eVE57MZnDeML6x5r6QeAgCyhUJxXLYIh3Xw+NSyC7R5Gehc6NjioSWAVaxRV2dkQcmk5TW7JGvcn9aG0HMLgsDSMm90rRM3tyAI6sTNbZl0qYaCTy5nc3DImR1sntAMaW38aRbNl/3jZGvtVhH+NTOJTYHczWrli5tQNRMEM4uuV9uf18HPF5/N0wlXwpAj3FciRLAE5jg54dvNdHKyfKr8oDUBfbk62s7PADbUqaiNN5mUXngzp5nxVH0Cc979cZJbRMdtOFNGs6y5y7pJ9dlAy+TkZLWvLTYu9NzrqxohW75pm6j+r5p3sxxkAMQq48ktCII68eQWBMGgQYof65q4uQVBUCdmS5eJAFL6mVgJAbBT/eIjxKcoDKBlzUpxfjvdVPlKhKfRXViFCUnxRUS4vuSmalreFHbxJIq71LIXWJSzoRiN73Mq5MD7DM16qfqvxg/WHD6RpGHdVBGVWj/4XJAP1Z9b4yNzxWKkQaElJRrqlWLkHIlhunOhm6vr4NLNe2kj2+bwqSoUKZuytU/BIprsN56y6iebHzterefqp/a0bikQZmkQBINJmKVBEAweGrOly0erJGFv8nEUuI66EACOGCeTrKaDz8nJXmjSdqN67wQBUwnxpv0pikz3YpXdhABjInnbbMeZGNM244GPO2VeNe4X6UwM2//mbI6mLIRaG4l+GHw/6EzpWXIl+FoOQw0J9n4Zh+/4Wqcc8jJuQzCMqejMwdkbqvCMF26rQkY2P2ub3/1VyphxGRBcJ5XFKmvHwtfquK3ZWwl49shXFk9uQRAMJHFzC4JgEBkEn1vULQ2CYCDps89NgdnCv6BTzveyrVICqfmYTBOJKXxe5lJhuDaksPig86slxR8bQgmShVISPiafKmRgn2QqfKJlSIevK9pW8cQ1aD+bY+sklrVs0yt1cBqYJtRJ2BflfagcNsPfe5/vaBUqpJutP8uk/zk/2PALVXjGa/6I/JheGYZUaZBKyePxcOuZNkatIs5CPd/TPXpeGYAntzBLgyCwxGxpEAQDSzy5LXdvHeCaHQBs1DcA4GKzOdgo9JdSdvDmJrdBNSrbmqGAE7m0jdvPXvGkATPtD9g+syrIeSu8aUwt14bNUGDVjmaTrwa3kTgUY1Z7M9S0IYt/D4ALOGgi5UcTQpNImay8LmeYeGFMEonUIReCoXScLoREL5KpyPv2Kin82ddWJZeJURbx9VK5Rqqr3dq9oaisqUeWIeTZgGAwJhTiyS0IgjpxcwuCYOAIVZAVoAqZNz+9SCQJMHIpP8CZkaxZ72fGGG+y8nb8fUrs0c0OClthcy0TwBMzjH7mN2Mzb5Y0/WvR9FnzMrMeRd0PuawPPm6fGUB9TNVQSJf9azAx/fctywOmZl9bz/zyvn2Ww/nKHBRXHo+vnZq5aUxuatOPNwtS+jGg61soW8Ffm2Yr53bJLhTbScv6GksSEwpBEAwi8eQWBMFgEje3IAgGjqh+tQLyvBKldFH3JsrfT5VTRoHyFHjC51ZTDOEwAIpOl9zWHDXdvdBc8MP6iprVMmpFVdjV431Y5GPhkJda0ROKVE9mR/Aiv17K19XWD8akFEPaZiuk2lghTYohXpBSL01WH5zfKuXbNeo21H5W8y3SZ5ddwAWR2L9c31e17NKN19hl5bXkw1hWyiCYpa1HQkQ6IvItEflC+Xm7iHxFRJ4u/267ct0MgqCvaMvXGmY5t/kPAniSPn8YwAOqug/AA+XnIAgGAMnbvdYyrcxSEdkL4N8AuAfAfyy/vh3A28v39wJ4EMCH0nsbAnYUD3h6+KhZZEwyt5lurcQDhc0JZzYmwzrY1Ng+sfB25gb7wLnhJIUEPP18cxss9ugtvkTkvlnmTFZjQu0ms+P0WbMeuBanT1gn2GSt1WvgjIWWCfHePF6JKGe6vqmvi9oyI4TcAjLk6l5Q9D/Xta1dKw21FpaE1uWsh/xaZ8iQWTp1o61D25mpjmfsScqYmXHZM3Tcc2P2XFzcUey7+0QPzNIeP5WJSAfAQQAvqeq7RWQ7gL8GcCOA5wD8oqqeLte9G8AHUDhVflNVv7TS/bYdiT8A8DuwzqVdqnoEAMq/1660E0EQrB1kGa+WtLL6RORmAHcAeD2A2wB8rLwxroglb24i8m4Ax1T1kZXsQETuFJGDInLw0lzCQR8EwdqhRz43svr+hL6+HYW1h/Lve+j7T6nqjKo+C+AZALeu9BDamKVvA/ALIvLzAEYAbBGRvwRwVET2qOoREdkD4NhiG6vqAQAHAGDr6J417oIMggDo6WzpH6Cw+tgWN1afiMxbfdcD+Gda71D53YpY8uamqncDuBsAROTtAP6Tqr5PRP4HgPcD+Ej59/NLtZUPd3DxhkKUcmTS+pFYnUOdLy07RVP45Cvx0/l2I/fQzH6U02cW3o54YUyqn6o+RYx9Pal0IErNqglS0udszIkiXrujamMjFzNpVi7x6hamgM5yfEemURpvFoxcjoHQEMaR9P21bdrXajV9dKlTrPqSStOiZfU+NohJApDxqm4pFznCUavowX0en7PHPLeFFElY5NKnENK1mc3ZPs5uKvqovdLWbn9z2ykiB+nzgfKBxlh95b1jKRazdFd8m72cOLePALhPRD4A4AUA772MtoIgWCssT6zyhKrub1i2XKvvEIAbaPu9AA4vu/8ly7rPq+qDqvru8v1JVX2nqu4r/55aavsgCNYJPfC5qerdqrpXVW9EMVHwd6r6PgD3o7D2AGv13Q/gDhHZKCI3AdgH4OGVHkJfMxQkVwxNlWale/TPOAvBTfWbCHFWrPCCg/wY7x/p2dQ6c65q47wVzeQocPE69Q1mcNe1Ycw6rz7B7ye2mGUze6rPG7773ML73LdP1K4v3h+PVaJeQ818bTC5fcgLUwvxMM1p83qJsWrqf81s5GU+xIPNSN533hy6kjqWlDsiP36yWs3XzeWMk4u29unQMa69QMv8tUPX+4kftaojZ28urs3ul3rjLLvCGQqLWn2q+riI3AfgCQBzAO5STV11aSK3NAiCOj2+uanqgyhiYaGqJwG8s2G9e1DE0142cXMLgqDGIOSW9t0s7ZwrZoNq9QM2VTOH+V6bFHxpc2UqjjxdZTakhPnUPfrr9MXF1/OmEJkT4su/7aiiznWk6lP2/Eu2TWOSWHPQlBV0QpMbnjy0ZH89SbHKhlnP+mo+M6Ah6X0Zie1mRpPdDIkZ3GQ/TJbDMmZYuc95g4kKQGfbj4/dkLajDIjkzKxvgqMDeHycK4HLD07vtu13xst9Zz24KylCrDIIgsEjCsQEQTC4xM0tCIJBRGriBOuP/t7c5uaQnTgNoO4TM5H7kzb0oTPMIoPNEed63c7qg0yYZdkZapOiwHUuMdPsfS0NJ9yHjCQLkVCoSa1IzjlXn3R+taHEaUoVyUnBoQ8bnEBiIqSmkUQmhjnKZE1XF/2fNYSJ+DAO3sYdC29nQkYSvsq6wGjVBocsFStTAZ2UqCXv2wtlcvgK99c3Qtffdf9g+5+Xx33s9DLS2ZtYB1ptbYgntyAIaoTPLQiCgWStC1G2of81FMoaCMnI/Ys2uju7xCYJT7279U5UCfHwCeVshpC5g622RqqOVGaHXHRJ9ZRwj1OTjfsSSojvvmqPWXZxZ2XCjn/bpc1x0juZIDWzkUMOEmEKvB0nXQOom5G8XUM2QCoRX+AyQnhZS9OtJt6ZswhlQ2iJ75czezNyGRhzsCasQO35MA4OQ6mZ8A2hMn58eX8Xm4UQUuE13P+x5yYXXadzccUB/W5nvWlmNYkntyAILFFxPgiCgSVubkEQDBoRxLsStK74sbCIfGLilB06Jyphy/zcOTRhhP4y57vg0ARWaBjyvhHyr/gwEUp/wTiFKYy5OpS0rxfeNW6WzbyqCoF57Yu2UAiOn6i6u22i+n7M+QXP0hj4IiLsf+KCKN6PlC8eflBbt2XNUXXhGUL/HUZAMZXK5Ps4zMV0aLydL9S0mVKUIX+c+DAcep9UOPFjRcV6jG/OC2rS9V37H2hK1Rp26X/kD+5usiEp2dnSp9qjm5IsI31srRJPbkEQWCLOLQiCQSVCQZaLkDmQEk+cdaKQ3gxp2s5My7ufHjYLMlL+mLFty6ZKE78mfEjmitHOn7H9lW5leu75x01m2cwTlamRnbPixbq5MlOnf6xSW14Q+CwZppCAmvlDfc4p4yGpbOHgdRsVQooVq7eJ0AezzCm5mHPm+8ghKalrgE0o/1/ZUGvWuy1SdRIMbU1KTyqMhhRyWPkDOybsrsarZfkGO97ZQr969MgVT25BEAwiMaEQBMHgoWjMo15P9H+2tHw8z7bYmUKTwO7NEzYPE+ZsUhSRZ0vZ3PHrTVUJ9jWT71JDQrk3Y6j/o49bIctR7qMXI6RZ140vVyZldtKVQSTRARlxdR74OC9QmUJ/nNJsbjbXPHD95fFxZp6ZHUQiEZ8FE7wAAWdH2A7a9ViU0/1TmllR7qN3faSuK9Mnb1ZTojtnqvhZVc448UIItO7c6/7Fwvun32+zIa75p2q7iaddgfOz5fWyUiEFR/jcgiAYOCLOLQiCwUQ1zNIgCAaTeHK7DLxIpIxXShpwxVG0aWre+29WEFVd83/QL1buw0R4XfYHaapIS3OdTmyzdUs5syE7Pll9f6k5CyF3bWQXaOzYP5QKbxAfFtEQPuHH22eBcBtcAIizC2qZEhzG4fx2PK6pmqNN7QEmy8Fkpmx1Y09+zPxMcxYMRqwfTMjHZQUp3TkzPk7XR9pu6EzVj+2PjJnVlE7F2Zts1sr2M2XxosmWvsOluFpubiLyHIBzKIRh5lR1v4hsB/DXAG4E8ByAX1TV01emm0EQ9JNBeHJL/ATW+GlVvUVV95efPwzgAVXdB+CB8nMQBOsdBdDVdq81zOWYpbcDeHv5/l4U1aQ/lNxC6NF91j+2V5H8+a7tdtELL1cf2MRxWvR2o4ToX6ouQMK0NRkLCZPM4PtItVC1VnegIWwhc+txAvhxm+WApvAMHyKgCZOVPyfGytQh8EKTbI7nzVkIRvzRC5gONYRW+DiFrDlhnc3P7s6tC+9PvdGapTu/Vl1j4mvGUvu1EKbGPjYfpzghBMPZKhRp1z/Y8bjw6qpu7tQue5z5WNG+tr0ul+BqenJTAF8WkUdE5M7yu12qegQAyr/XXokOBkGwCszPmC71WsO0fXJ7m6oeFpFrAXxFRL7XdgflzfBOABiRTUusHQTBWuCqeXJT1cPl32MAPgfgVgBHRWQPAJR/jzVse0BV96vq/g3ZyGKrBEGwltBlvNYwSz65icgmAJmqnivf/xyA/wrgfgDvB/CR8u/nl9ybZECZYqMXXMESKr6SuZqS7COrTbE3rOdVKsxnaRY3XFHeiUvlMSlArqCIqXvpC9CMVcuMCKJXJ0mFFZA/R8i/V0slY/+QF3hM1PRswm+jDSKXMmQFGNkflzv/JKdjcf9rxYXYn7XFioPqxmpZdqnq4/hhp+QyRdfjuLMwJir/3PQrJtDEyLOV/3Nu91az7Mwrq2MZO+FUXs5Xn4dOV/3Iztn/kbGnKjHTsWfdOJbnUPLLz5sSALLGJwva0MYs3QXgc6WDeAjAX6nqF0XkGwDuE5EPAHgBwHuvXDeDIOgnV0XFeVX9IYA3LvL9SQDvvBKdCoJgFemhySkiNwD4CwC7AeQADqjqH6biZEXkbgAfQBFX+5uq+qWV7LvPYpVSmRc+cp/MGPV1EkhtQcgsVXXmia9V6va9AIcOeC39VJgIm71ci9Nr3fP7ja7OJdfidCKX+dYqIt2EHDhzTbeS6eXMkO5Ytb8OK3OctWNqzHQfkmLqp3JIh1PcMFkIbhzZrOZQFq9AkgrnaRCQTMlumtqyfhk9jWx8wS7L6Ziza3aYZZd2V+eC1VoAV8uA6nGceZX1L595dfV+21PWHTH0fOWuNpk7G9x1xdec7T6mX1X0OT/UiwyFns6EzgH4bVX9pohsBvCIiHwFwK+iiJP9iIh8GEWc7IdE5GYAdwB4PYDrAPw/EXmN+n/2FvQmKCYIgoFCtN1rKVT1iKp+s3x/DsCTAK5HESd7b7navQDeU76/HcCnVHVGVZ8F8AyKCcxlEze3IAjqXIE4NxG5EcCbADyE5jjZ6wG8SJsdKr9bNqEKEgSBRZc1W7pTRA7S5wOqesCvJCLjAD4D4LdU9ax3B/Gqi/do+fT35jbUWVCxkIsuxYX9OTu32UVUGKPz8smF9zpl1UiNv8wXAOG0J0qvqaVAJciolmhOxTv8zNLszsp3ps4X1ZmiWqJDto+nf6Tabucj5AM6ZsdKztNxu4ukc5pUe6nOpeywY8rKK74QTjZRhTFwsR6v+mt8c+5c5Hw+s2a/HWN8eIANeWH/k48G0gYVEzifJ9V4Vaf4wuM4c9NOs2hoslrXh2fwZ52sxn7nP1oX0dZnqnCSoUMnzTIeO3MuZl24B3d3eMJ8nt5Z/CvnQ+0LASVpfzs5QfnmiyIiwyhubJ9Q1c+WXx8VkT2qesTFyR4CcANtvhfA4da9IcIsDYKghqi2ei3ZTvGI9nEAT6rqR2nRfJwsYONk7wdwh4hsFJGbAOwD8PBKjiHM0iAI6vRutvRtAH4FwHdF5NHyu99FEfxfi5NV1cdF5D4AT6CYab1rJTOlQJ9vbvlQhku7iujvkSmrrsBmUnerFeljk+H8T1QFNMZesIVT8CwVY/EFOqYpy4FDOnxEN4eJuKl4kIkzfxwAMDPhFBqGq/5uOGP7sfH7pHDiTMods6SGQheXF/Y0YR0J4UP+Za1nKDSbcqwswmbd+R/dY1YbOVGds2zahnR0zpKpxf312Q9c33S7c0dsrtwRxvzLp8x6RmHGn3fOHuFl3nwlk3v4tHcD0L7Pu8IsZN4ak/LwUbPaBtrO12Btyrqphcnwter6MTJZFl7qRWaBoohI6wGq+jU0R+8sGierqvcAuOdy9x1PbkEQGATtTM61TtzcgiCo04Mc1dWmrzc3yRWd6eLRvTthE5w79AjeOWmj6TnJfvw4zdjN2Md5pdk29XUpW3eyebZJSVt/46HKXNt42AkTch0Db1pkzUnvneNVdL1StLtOOTOMZymdCCWb2XqOTHHbQr12BMGzyWw2jj/hzFcefzdu3V0TVRN0XkyCOmBmdJ/95etsP2iobvoMZXb4Ghs5Z1vY5rlfpnaon5klskmbhWBcBE5k1ZiiCUEGna6OO/f9bxAqEF+/l01pl8Wz6TtHir5Pr/C6Nx1Cz8zS1SSe3IIgqBFmaRAEg0nc3IIgGDzWvoR4G/rrc+vmGDpZ+I90o9s1F35JTLfn58gf4otwkMhg5qPpeV0WPpx2PiDGq3FQHU05WVUxlE2uviSLRPo2KazD+9LY98K+nESqSl0JpanOqA/38P4chv1xvJ0TGGV/nwzZ9meuqcZk7hWVf3Xzd6xgc765Wm/6JuvPkmkKa6HCKT4bwoSTjNriKybsIlHAheuWeuUSFqvEsKtbyvVr6ZwlBT+92GbDuRAWNgWQXUuZEz6c5EI5Jr2YCJivfrXOiSe3IAhqhM8tCILBJG5uyyMf7mBmb5GUPX2Njf7f9nUy0VxSszaZEz45nkQjdcSJRJJ5lW+uTNbseZdAnXPyvTUXslEyP/nkuwyCSzdds/B+wzEbVqDPV1kUPmG9qUZoXhOJ7Cz6vvhMY9IQBlE0Sp+9ycqhD2yK+vARI1Zpz2dnpjqWma1V+3O7bG2BzlRliu75sm2/M0v9MCKl7lhmydSfdUKnvC6Phx9rrtPhTDvhcBu/HbsF2JWQCDWpZYuYUBNqwx1nd2dlHmdnrYtA5sOUEi6M1iiSAgfrhXhyC4LAERMKQRAMKnFzC4Jg4FAA3fWfotDXm5sOCaZ3Fr6ZyVdZn8TEQQrP8L8a7JNIFHDpvkxKDN4XRbUtMxYwFOe321r5NdT5TfJN5Ktj0UznI9z4XFVfUs81p/I0+dg8TaECtfZgU3uS4Qgc7uDHgP1I5HuRUdcP9lO58d74bDUG3Y276L1dL5uh1Cx32ofPV+3PvbpKzRr6nqvuwuPofEWm5m0ivEYoDaym2uGFLXk7/pAQPk3VXa2l6M1v40NBTlQqOCyMadrsSU6o1sNh1iHx5BYEQZ0wS4MgGDhitnT5dKbnMPFoYa5MPOYe4bnepHu0TtYS5fXYhPI2DgtU0uN+d7cVSOycppCUs9aklBNVVoImzDojyOim/WXTJjTRaEamzFI/9c/HSdupv1h9nxv6YUxi3w9u04W1sLLI6A9PVe2dcwonND5bLrrj71T7s2KVzcciYy4EaHsVeiJHyV3gTE8Wq0yKRDrTUxvcDN6kNHV5vXIHLTNhPq7mrQnL8aKc8597dU8agCe3VjUURGRCRD4tIt8TkSdF5K0isl1EviIiT5d/ty3dUhAE64IrUNqv37QtEPOHAL6oqj8C4I0oCqt+GEXF6H0AHig/B0Gw3lEtngzbvNYwS5qlIrIFwE8B+FUAUNVLAC6JyO0A3l6udi+ABwF8KNlYrpBS4FA7NrFdNpN4pTPPTCQ/myRuRidpQpkVKdF61p0gFmD0s2S8bzI7fNL4hR+tasiq+/kYe7qaZRU/I0VmhzEN/SwcC1J6c5BNc04oT4yHN/Oa1vWmnKk30di6E+9MiDiKb5/X4+P00f8+08MsI1ORkupZZMGvV5v1TJiKBgqfyG+0wpsZ1WGQWVtfgWdqsZPqaJxxoq1naIZ0GSUpV8QafyprQ5snt1cCOA7gz0TkWyLyJyKyCc0Vo4MgWO9cJWbpEIAfB/DHqvomAFNYhgkqIneKyEEROXipe2HpDYIgWGW0sFLavNYwbW5uhwAcUtWHys+fRnGzO1pWioarGG1Q1QOqul9V92/ojC22ShAEawktogHavNYyS/rcVPVlEXlRRF6rqk+hqDX4RPl6P4riqlwxOtVa9SjrxQK5RqjPLuBwCnZiZq77iQIdTH56svpwxkV6j5HYoZvON1HtrECy0SpijByqfCVTr9pill3Yt2Ph/dgP7G9LxkKLnJXhC+FcqJ6Aa7pbRt0i8cuauDBNCVwOGXG+Lc76qLVB4RTsq0ttA3X+Q9rOFHfx4TWjFMax1dbDbfT3+THlZYlatp7uKyvfWjZT9b9zfNKuyO07f9/0LVUt3uNvqsbnFfc6RRka/8yJci6c9x6IghTtre0bVxvaxrn9BoBPiMgGAD8E8GsonvpqFaODIFjnqF49pf1U9VEA+xdZtGjF6CAI1jlrfLKgDf1Nv1JdSBKWU2fsornFE5wBNMfT+OTn0ZHF14NLXL6QqJvAoRQjG5vX47qorg5DRibrZl+nk8M4fOgDm7pbKtNFzjlbg2pn1uqWsslmTC2fUI5GTChIIpPBtHfJmnl8LCYRf4M14fO9lbBn5jMUfvA8rbh4rQIAAGVDZD58Yrzy88pFGjdnluYXmie72JRO1Xvl69G4PgBzLrIt1nS+sKsak9GjCRFRDklx1+bC+PdCrBKoCXauRyK3NAgCx9oP82hD3NyCILBE4nwQBIOIor1YxVqmzz43suVTvwypgWVfjvPfmEdpn8LFoRWJaX8hf1bOtSzh/C2cAuSVIjZX/rKZGybMsnyo8omMff+43Y7rtV6q/DzdXbaN7FzlV/K+rsYapz5VjfxgbUUtfWiJzpHf0Qteck3TLZRaN23HVIepeIyrZZutwDTKnTio8DnkWrYuhYvPba0W7HWV2GY+bM81F7gROn81jxVfI2M2jGPsWDX+fE3oeXcsXODG+ziz+fZ7USAmxCqDIBhQkjGS64S4uQVBUGcAntykVq/gSu5M5DiA5wHsBHBiidX7QfTDEv2wrIV+LLcPr1DVa5ZerRkR+WK53zacUNXbLmd/V4q+3twWdipyUFUXCwqOfkQ/oh9rrA/rlbZilUEQBOuKuLkFQTCQrNbN7cAq7dcT/bBEPyxroR9roQ/rklXxuQVBEFxpwiwNgmAg6evNTURuE5GnROQZEelbtSwR+VMROSYij9F3fS9NKCI3iMjfl+URHxeRD65GX0RkREQeFpFvl/34/dXoB/WnU9bn+MJq9UNEnhOR74rIoyJycBX7EWU0e0Tfbm4i0gHwRwD+NYCbAfySiNzcp93/OQAfi7MapQnnAPy2qr4OwFsA3FWOQb/7MgPgHar6RgC3ALhNRN6yCv2Y54MoykXOs1r9+GlVvYVCL1ajH1FGs1eoal9eAN4K4Ev0+W4Ad/dx/zcCeIw+PwVgT/l+D4Cn+tUX6sPnAfzsavYFwBiAbwJ482r0A8BeFP+w7wDwhdU6NwCeA7DTfdfXfgDYAuBZlL7w1erHoLz6aZZeD+BF+nyo/G61WNXShCJyI4A3AXhoNfpSmoKPoijs8xUtCgCtxpj8AYDfgc01X41+KIAvi8gjInLnKvUjymj2kH7e3BaTK7gqp2pFZBzAZwD8lqqeXWr9K4GqdlX1FhRPTreKyBv63QcReTeAY6r6SL/3vQhvU9UfR+E2uUtEfmoV+nBZZTQDSz9vbocA3ECf9wI43Mf9e1qVJuw1IjKM4sb2CVX97Gr2BQBUdRLAgyh8kv3ux9sA/IKIPAfgUwDeISJ/uQr9gKoeLv8eA/A5ALeuQj8uq4xmYOnnze0bAPaJyE1lFa07ANzfx/177kdRkhBoXZrw8pBCkOvjAJ5U1Y+uVl9E5BoRmSjfjwL4GQDf63c/VPVuVd2rqjeiuB7+TlXf1+9+iMgmEdk8/x7AzwF4rN/9UNWXAbwoIq8tv5ovo9n3a3Ug6KeDD8DPA/g+gB8A+M993O8nARwBMIvi1/EDAHagcGQ/Xf7d3od+/EsUpvh3ADxavn6+330B8GMAvlX24zEA/6X8vu9jQn16O6oJhX6PxysBfLt8PT5/ba7SNXILgIPlufk/ALat5nlZz6/IUAiCYCCJDIUgCAaSuLkFQTCQxM0tCIKBJG5uQRAMJHFzC4JgIImbWxAEA0nc3IIgGEji5hYEwUDy/wE2xD/2L8dmKQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "resx = res[0][-1]+pos0+x\n", + "imshow(cic_paint(jnp.zeros(mesh_shape), resx).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "9abade92", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow((flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]).numpy()[0]).sum(axis=0),cmap='gist_stern'); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "a7f8b5d5", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow((cic_paint(jnp.zeros(mesh_shape), resx) - \n", + " flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]).numpy()[0]).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "68b72b68", + "metadata": {}, + "outputs": [], + "source": [ + "from DifferentiableHOS.pk import power_spectrum" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "785818e3", + "metadata": {}, + "outputs": [], + "source": [ + "k, pk = power_spectrum(flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]),\n", + " boxsize=array([64.,64.,64.]), \n", + " kmin=0.1,dk=2*np.pi/64.)\n", + "\n", + "k, pk_jax = power_spectrum(tf.convert_to_tensor(cic_paint(jnp.zeros(mesh_shape), resx).reshape([1,64,64,64])),\n", + " boxsize=array([64.,64.,64.]), \n", + " kmin=0.1,dk=2*np.pi/64.)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "18e3d30b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "semilogx(k,(pk_jax[0] - pk[0])/pk[0])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "703c8195", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6921f17", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "b3083d29", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "65116b88", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c6bd8cfd", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/dev/JaxPM_ODE.ipynb b/dev/JaxPM_ODE.ipynb new file mode 100644 index 0000000..fa1edd0 --- /dev/null +++ b/dev/JaxPM_ODE.ipynb @@ -0,0 +1,674 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "2bb083b7", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "%pylab is deprecated, use %matplotlib inline and import the required libraries.\n", + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline\n", + "%load_ext autoreload\n", + "%autoreload 2" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "458efc98", + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import jax.numpy as jnp\n", + "import jax.lax as lax\n", + "import jax_cosmo as jc" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "da00e618", + "metadata": {}, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "import flowpm\n", + "from flowpm.tfpower import linear_matter_power\n", + "import flowpm.scipy.interpolate as interpolate" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "b588c18c", + "metadata": {}, + "outputs": [], + "source": [ + "from jaxpm.kernels import *\n", + "from jaxpm.painting import *" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "f0cba7a4", + "metadata": {}, + "outputs": [], + "source": [ + "# Below are a few parameters\n", + "box_size = [100., 100., 100.] # Transverse comoving size of the simulation volume\n", + "nc = [100, 100, 100] # Number of transverse voxels in the simulation volume\n", + "batch_size = 1 # Number of simulations to run in parallel" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "8dad416f", + "metadata": {}, + "outputs": [], + "source": [ + "# Instantiates a cosmology with desired parameters\n", + "cosmology = flowpm.cosmology.Planck15()\n", + "\n", + "# Create some initial conditions\n", + "k = tf.constant(np.logspace(-4, 1, 128), dtype=tf.float32)\n", + "pk = linear_matter_power(cosmology, k)\n", + "pk_fun = lambda x: tf.cast(tf.reshape(interpolate.interp_tf(tf.reshape(tf.cast(x, tf.float32), [-1]), k, pk), x.shape), tf.complex64)\n", + "initial_conditions = flowpm.linear_field(nc,\n", + " box_size, \n", + " pk_fun, \n", + " batch_size=batch_size)\n", + "\n", + "initial_state = flowpm.lpt_init(cosmology, initial_conditions, 0.1)" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "id": "5ad12a1e", + "metadata": {}, + "outputs": [], + "source": [ + "@tf.function\n", + "def solve_tf(init_state):\n", + " final_state = flowpm.nbody(cosmology, initial_state, linspace(0.1,1.,40), nc)\n", + " return final_state" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "id": "7d4780a8", + "metadata": {}, + "outputs": [], + "source": [ + "final_state = solve_tf(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "6a94dae9", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "4.89 s ± 12.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit final_state = solve_tf(initial_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "e5148fed", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow(flowpm.cic_paint(tf.zeros([1]+nc), final_state[0]).numpy()[0].sum(axis=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "167d193f", + "metadata": {}, + "outputs": [], + "source": [ + "mesh_shape = nc\n", + "kvec = fftk(mesh_shape)\n", + "\n", + "# Define the ODE\n", + "def f(state, a, cosmo):\n", + " # Extracts positions and velocity at a given point in\n", + " # the simulation\n", + " pos, vel = state\n", + " \n", + " # Computes the potential given the current positions\n", + " delta_k = jnp.fft.rfftn(cic_paint(jnp.zeros(mesh_shape), pos))\n", + " pot_k = delta_k * laplace_kernel(kvec) * longrange_kernel(kvec,r_split=0)\n", + " forces = jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k), pos) \n", + " for i in range(3)],axis=-1)\n", + " forces = forces * 1.5 * cosmo.Omega_m\n", + " \n", + " # Computes the update of position (drift)\n", + " dpos = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * vel\n", + " \n", + " # Computes the update of velocity (kick)\n", + " dvel = 1. / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * forces\n", + " \n", + " return dpos, dvel" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "aa14a004", + "metadata": {}, + "outputs": [], + "source": [ + "from jax.experimental.ode import odeint" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "973ca031", + "metadata": {}, + "outputs": [], + "source": [ + "init_state = [initial_state[0,0].numpy(),\n", + " initial_state[1,0].numpy()]\n", + "\n", + "@jax.jit\n", + "def solve_ode(init_state):\n", + " return odeint(f, init_state, \n", + " jnp.linspace(0.1,1.0,10), \n", + " jc.Planck15(),rtol=1e-5, atol=1e-5 )" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e801c3eb", + "metadata": {}, + "outputs": [], + "source": [ + "res = solve_ode(init_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "de770afb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "352 ms ± 1.01 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "%timeit res = solve_ode(init_state)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "73e7cc3c", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow((cic_paint(jnp.zeros(mesh_shape), res[0][-1]) - \n", + " flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]).numpy()[0]).sum(axis=0)); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "68b72b68", + "metadata": {}, + "outputs": [], + "source": [ + "from DifferentiableHOS.pk import power_spectrum" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "785818e3", + "metadata": {}, + "outputs": [], + "source": [ + "k, pk = power_spectrum(flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]),\n", + " boxsize=np.array([100.,100.,100.]), \n", + " kmin=0.1,dk=2*np.pi/100.)\n", + "\n", + "k, pk_jax = power_spectrum(tf.convert_to_tensor(cic_paint(jnp.zeros(mesh_shape), res[0][-1]).reshape([1,100,100,100])),\n", + " boxsize=np.array([100.,100.,100.]), \n", + " kmin=0.1,dk=2*np.pi/100.)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "18e3d30b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "semilogx(k,(pk[0] - pk_jax[0])/pk[0])" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "703c8195", + "metadata": {}, + "outputs": [], + "source": [ + "import diffrax\n", + "from diffrax import diffeqsolve, ODETerm, Dopri5, LeapfrogMidpoint, PIDController\n", + "\n", + "cosmo = jc.Planck15()\n", + "\n", + "def f_diffrax(t, state, args):\n", + " return jnp.stack(f(state, t, cosmo),axis=0)\n", + "\n", + "term = ODETerm(f_diffrax)\n", + "solver = Dopri5()\n", + "stepsize_controller = PIDController(rtol=1e-5, atol=1e-5)" + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "id": "d6921f17", + "metadata": {}, + "outputs": [], + "source": [ + "solution = diffeqsolve(term, solver, t0=0.1, t1=1., dt0=0.1,\n", + " y0=jnp.stack(init_state,axis=0), \n", + " stepsize_controller=stepsize_controller)" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "id": "b3083d29", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Solution(t0=DeviceArray(0.1, dtype=float32), t1=DeviceArray(1., dtype=float32), ts=DeviceArray([1.], dtype=float32, weak_type=True), ys=DeviceArray([[[[ -2.628675 , 5.347485 , -1.5904427 ],\n", + " [ -2.5886178 , 5.4675574 , -1.8807749 ],\n", + " [ -2.6215632 , 5.6189113 , -1.9770483 ],\n", + " ...,\n", + " [ 97.6788 , 105.22156 , 96.64059 ],\n", + " [ 97.459785 , 105.74062 , 97.79143 ],\n", + " [ 97.26484 , 105.98253 , 98.37041 ]],\n", + "\n", + " [[ -1.7246462 , -0.27205068, 0.6488323 ],\n", + " [ -1.6212564 , -0.29098457, 0.29932806],\n", + " [ -1.4803871 , -0.176678 , -0.5965874 ],\n", + " ...,\n", + " [ -2.21784 , 2.4735427 , 1.3182787 ],\n", + " [ -2.3406084 , 2.282835 , 1.8463919 ],\n", + " [ -2.175532 , 0.7863351 , 1.1335845 ]]]], dtype=float32, weak_type=True), interpolation=None, stats={'compiled_num_steps': None, 'max_steps': 4096, 'num_accepted_steps': DeviceArray(19, dtype=int32, weak_type=True), 'num_rejected_steps': DeviceArray(4, dtype=int32, weak_type=True), 'num_steps': DeviceArray(23, dtype=int32, weak_type=True)}, result=DeviceArray(0, dtype=int32, weak_type=True), solver_state=None, controller_state=None, made_jump=None)" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "solution" + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "id": "65116b88", + "metadata": {}, + "outputs": [], + "source": [ + "resx = solution.ys[0,0]" + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "id": "c6bd8cfd", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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ssgxC73TXfwvAnwP4OXf9C9baXQDfNcasAbjPGPM9ACestV8HAGPMZwG8G9cLcUvgXqKbgORBPtPv4ph7yR+tTWPW/Va1KR5gFjfJzWgWJsDvwMrvlZ8AcmvYUhQPZH6QeiwfuDVtTXBfGkfI9YGaQUSKc0WGGP479YM4NaqPPvmC57rOUBgSbxevl9p9pt/FvQDuu/IS2lGcx35+zQXN+9rKy9TenSRSD/faaCYdrCQd3GWyRAncf45zS003xkREll24Fm8Lj71djmI0nLWaCDMF5e8wwkbvmcqQ70KCGw84QfNJAr5Nh5d3jjkh03tMhkzxpWMosXTeGPM4+/8hlywjh8v9+A0ASwD+V2vtqjHmNdbadQCw1q4bY25yt78OGWdGuOCu9dx3ed2LQydufPJuOc6tB4N5ZDvkVKWGDWeOJyykCVaw36IEhAkbB+lIfFyLNCCs7Sthf728LKm/W2P3+Z4PBb5rdfj6pfWHyll2bif8HlrMvnpDdYZ8sTYdZ3R7d2cgYJ7UBVIpXgaSsDXNnv+f3Hy0MdU4o56JMAvs43poA7rBWVTJfYSsrtp8WcMe9+oblzLX5O+aYWLTDm6y9C55H8fiCGLtMOFXG9batxaU1wdwtzHmRgD/3hhzZ+B2X7ahUlmIOA6VuF1xXAOJPX/HhSKRwyftlCRuANmuSWjZzB9pxQy6MXyu1x7YBcso+zWRkHZ7PmnKiIpcjObcWsj6K/WFmzbNuQyp45OWYQ7izjjXsqksDj4OvF66R1pX5fj4wMtcS5MsG4tLE8T1UzLKQ/bDR/BC1loNMlxJJgig7CR0n3xHa2mCd3R30I7ifG6eSxP8H+zdcELrMyTxew8iivMyOHwi7fUmlg6Uau0lY8yfI9OVvWiMWXBc2wKAl9xtvmxDF9x3ed2LQyVuu9hbAE0T4VR3B3cxL/ZZR9TI4pa4T663mTMR7nbOlu0oxt1JB484N4YQ+IQOGQiofdxlIxiMbgY9zzlh0yY15yy0CavVx/vOQSInL4scQssQixAnJTeKMotTE7v45yjcYkg/KAkN//QRG9q0SGwnPSjfZJ7utdE0Ef6EqUK4Lo+L+pJ4cYu81getb5q+jV/X1CK+UMNQhubyGKu19AcA9BxhOwbg7wH4/wL4MoAPAviU+/xD98iXATxsjPk0MoPCMoDHrLV9Y8xlY8wPA1gF8AEAvxKq+3DFUjHwLZviJHuBlLqGcnUByDPXXmAv9Xy/i2aaYD6KByxewzrTSnAdimYEAPbHO3Llu4wB9U3qYdwrQou1TLnExTTtns6N2v2g8wsE9hY+iZAax8Etr7yPGoEKuX9IP0DeR23D8XHkxLUSuM+dHDciZCFCQf0lnaTPx3DZRTNctClWXJmPsAy/m573X5Z7K6Me4ODvfXyc29ispQsAfsvp3SIAX7TW/pEx5usAvmiM+RCA8wDeAwDW2qeNMV9EdlxBAuBn7R4b+TPYcwU5jYAxATgigwJfUIt2TzG6iD0L1cnuTp6Ge52JWlIRz8Ux+t+Hovg934QO6fHkAqO2aAryIu6yTDs1Mc2n+1t2Bo7pKM7jI6ndTRPh9to0NlwY04xNseR0ZCHiTOVusn7yLBryXnlN6tDoWRIjuZGIOCZf9AQ59XICxgkcgHzDJMgkBxItu+dOInV4tCmsuHRKADBjUyy4NhZtbD5RnG+mPoImuTu6V/YhdL5HWVg7PlcQa+1/AvAW5fomgPs9z3wSwCeV648DCOnrBnDo4Vdkzgf2xBcuwi04wpWLopUaFgA0XYpnvrPLSeHTccn6OYp0IiF9V+iZ/Lc0GYpT09rpMxpwJXMoU8qOc5HgOjlgz+GWO5OWIcD8HXB/PenS4iMg9JuPePJ6QkSCCK2vfP5J7/msMg7y3qIxaJoILeHusuIstvRONG5fE0N5e8sQtsPBJLZ0aPRhBzitlk0H+MqzaYIVFgy8GMU453LfL/TaeHO/i10XyMx3dMkFaJNhXzSER9TUfvP5sA0QMQcKipdiUFGcqwatXrmD81Cwlk0HgthpQX+mu5NzJPk4uDJJcU7lFS0keQ/ndDSuMtT/AZ2Z+53az90zfGqBZcGp8fq4/o+L4lJ1IJ/1ub3weqejGE+6TMtPHJtDw/bxT7o7WHF1cfGdE2Aq47TQEWsuJSFCeO0xCb8aGbSzSUJDC6XlJkTT7gU3E3exPgSRGGViaHobWhw+LoHXvekWyJLnnsOcrHIjkYuIpyVqpAm+W6JtGocxQKTYZtAK9JfPgbLjIjcdbXORnL32XbbbR9h4Ozl23LhRfGgVdp+zMs0XOW80btSnnzwawgZMOLcDgk8kKc5wEWLFpniN2X+egE95TtB2RnkPB9X9vmojT4u9Edcx0+/iD3a30TQR3lq/MRdFeibCHZ1L+IpLHghgwOeIh4KNQnRDKYxkn5smAhjHS8+Q/kxzGdi0Kf7l1RZWujsDp2wdJFqCQtrIgvt54aKj9YV+J38xAANZLkJ9XqnUMB3FudjN3SMkqB7tXficcTk4Md60Kd5vU9wTxbinnZ3v+R03jtS+lUotP42NuONHHcemcXJUh09E1t6/1l55zuwoGKfO7ShxpMkqNbTY4pIL8zB2MhKHt5g+hXbfdXeCErmpLPTaefJDXz94uUA5S2lIt+cTgzWuRPuk700TDejhtDYXwcdx+YLxJcqMhcadce4Q0AlU2Xnmi98NPdeyWYzrUhRjhYnBchOVxgzeNr4RrQliXkTYfUH7APD8eNx4J2nGrwU0nQm/DugcmpwQRQtHc4alcij+cMGJxXMmwkxtGv/b3O15WFgjTXBrdwdnXWJGHzep1RuavD5FtLZYl6MYP+bS5yxdbeG0c0cIxSRSebRxyPtkoL32LH1SJlv6jYd1+RagJkZyyIORgT39INcnzjniDMctc0OBz3rM+xF6X5q6hD6bJsKm0/k2TZSfVEb38OMHyQuASxxLUZxLAKRqWUqTfaF4/Dt3TH4wruPeSg0PC8s2QctyPDwmYulIlclJH9qFgP2TUVv8ZZT2HEVuFps2BdIES0B+aHI7inHenbLeSBPMJLv5rswnMG+PVn5ZwlbmnmWWNVazqBaNLfU15MfHoXEey1EcdM0ZBqSr3LTpAJGQRF6LJtHq5O33WZxDbZX6QPn+pJuIrJfaRgSb7qWEmRSVE0q6QCAO/V737IorV7ZpPAt6QtzGAhn+RL5K7602cNGm+HyvPcAdSH8gbUKEFnTRZJTcBy3gNycdvOfis3nMYSPNUlk/g8FDXqgcDZwIFolNPsLCF9pqv4v3XW1h1kT4HxjXJsch1B7eT40j9nGPlJb7oiNEdEK8T8fn47y5j1rTRPiFqRMDccU8Y+6OwpWEiGmZcQ4hNMdChhLyKVyDcjSgTXPHdDLmfDngiM7dauacmNtj85KL6GfTBH/UuzpyfwlDxpZetzhczs1kOrci4kP6rapNseRiATk0AheyNmk6G+06PUMixxr2Ft1uv4v7rryEnonygOoNF0Uh6+Nt5P3i9/CF5xOltHL5My1H/AHsy+mvLezQQteIGy+Dh64RZ9WOYkzbPcuwDGT3jYXWX67XPF+bBrBnIZfxx1qW3CLui+opq2PzjZVPZCWspQkQ0KG1bJoTNXIoln6CvN2aiqFnIswz4kaH5QDAlDm4QWGiczsApPc+373fV21gqlLDU26CLzsrlEYUtUmqWUb5hPRxfnL31xTyDfddOr1qnIPs4yiOvBw+LoQWK4VYaRyANg7yf5+ujHN3nPNc7XdxykSQ3lC8LGqz1DNqhJzGi2fK5W5A/DcNnPBq1zXXIz4XfO3z1cXHhoM2R61cIOOuHnX53DTLLo0ZbwM5vq/2u1jqtbHc7+JRZyGWETLjwUQsHRnyxRGWoxhRXMd6XMezUydQtSnuqdTQdKJiKHRKlhW6T7aBT/x94i8jXjNikRVZtXgfNbFStm1OEAX+m48o00KSueTKjIdsQyizBRdxSfRssgwvZSIqtDq1a0TYyJdMS8nte35TjBV/n3NsDvn0aEXwETY+Tpoek2+An3eB+b76Na6eCOGvuIwr9Oyw7S+LCXEbEom1Xg4HyF5kmnQwD+CN7jBjTc/C7w9dKyO2aiIqJzT8unQopt+Lds4yhgKN2Mmytbqk2AgAcMk2CUVxi/I+LpJqdUpCLX+TOrdQbC6VTcrxU702Fp3YT9l2ibidYxyRVn+I+5JiNtXv495GAX+ezx9+gAvnfqXOTEZP0Dz0ifV8rOn6eNKMTzi3obEL693hAeR55ptJByvOAfQ0MybIST2qwylNijkx0X2iAtX1NNtxeZu0cCuCJJ5aYL4PkrhIJ10pepJiH0BO4LQFEuKAtfbz5/nCy8eQ1QX4z40IEVcyhjzmuHSyDlK/OPfLLalaOJWvfGBPhyo3M1/7fJyV71k5N1cqNby32hgg0r/rwuH4eSKzJhpwHeGO1VzklmqOs2kyEMJ4UPUHAFg7Cb8aGtJ7Wgu0Dln4yuyu/B7JmcmdlRZuqFxN5OG7Mj1bpNfi9RaBnqVFrC0ubTcPHSzjc/fw6fLKwFfmOMC5Z1lXnkHEDOrzRm2D7135ymuWqJO3/6JNMW32HHqJWPP5Q3+b7FOijGvPuDDh3A4ITQ9Fi412bkKIAJXxk9M4IP7nU0bzcnge/qbJkmZuVWp4b9LBw85lRT7HnYP5JyG0aN9XbWDa5azjqbq5Xk1yS7Lt2rhpoi61o8ilRXKisizfs1KH5NMvaqIwfV9y5x9QluZlJmpKMT5UP1f4a88UzQNZnm+MNt2cWXM+k32XiPV2Zyyb6Xdxkd0TCr8iyM1RbmTjSHk0EUuvATQlb0i/U7ZMn7gxzE6viSIaypbJRUz5KScwJ7whZT2/5yAcGYETIXmdf/ogLcY+lBnPxSg7NHkLUE/VIlCGXKleoHIk8ZZEVHKMZYwyRXOTnJOBwTRTjTQBbDrQXjnfi1Qv0kAyHkxcQUaGJBQqh8QywtJ13wuUu6kmNkiOQZap1eMjECSePpl0cK9NB05f0vrI/1+KYiwhW4Rc0cxBzrDkw8aPrGt5JrN03g2Jv1Jc5yDukX6j/zddm7TIAflutPdB17nbj/ZO6RrVuwRgIa7jfFzH/zV9MwDgzqstzLCTvKiMU3Edb5s6gUaa4CssaL9pojyI/eFeO085tMneCe+ztqGOuqGtpUle34+79Pjna9PomQh/5/LzOJ10cFqZP7LeFhtL6XTN8yM+P5bA+QnndmAEXyb7TdsdD7Kj+hb2KJyIdCYtqxdcjmKcVIhb1Q4eAcd1MaHyNX1MqC2cwGmB+nOe3+Q9Rb6HckyL9KDyPvLKb0d7J6KRYl6KZHNMZJXtno5itAu49ZCoOSooYmGZxZKScQEYfMehun3iO8ecica2oCfEbUjUjcGy27F9xInrK6ShQb7gIgWrXLxcl8dPR2oaPb04r4d2f2oPAMzUpvFiXMc7ujuAczYmlwbfIuL6OkrE2WacQ9WmeODKS3l6HC0QmusjfdZCbhWU+jmun6Kx4CFUFP7WM1F+aPZyOni+Qs7BpYPnu8pNiXMaZ9MEjzlOKyR2yeeIENBhzAu9dnYQs5ISXTpYk0V3J00w7eaeJKo+TpOgOTVLaBsln3dn0ySzticdrLjx+lWWbkqWU3aTmDN7h9UAwDfM/uMvh0c6Cb8apTLtJUlwAgfxjJyI/LsmRnLdFncv0OIpQ2iaCNMuj9uiIxbPxHWsVxuYcc6srUB5fOE0GSfSMxE2GUcy0++iLYiXhlyUcotXc2Eh4s8V7jROkuNZjPZOglp2+q22++Ttp/sB7Dvc2MdREjHkvxdtbtq7obC3Rppgh1mGefTEGwTRpO8tm2JWISLU9tB8KorR9UG2n+KWm+5dUf453xrwEV3+TpfZxtQ0ESpDtdCHic5taJxw3E++4wYCoTWCJqEtEMk5cAI55+rXyg75ueWihZucu8gWdiNNMJ90MNPv4qvsuTllYfK6WjaLS73HiSiU/JJzcPdWank6dY1zWGOiKx833ncOTizoXj7WXP/UdGIfxXRWbYrfYcfc0dF4zcBil/U9IvRc6hgrbW+aCC1HYG/b3c5jevkxiNxYMLe7jU2beuNcVyq1gUgObnmW6dI1A8MwBM6ns6Nyy6gvtO+8PG6hX6nU8PmSm3UIrxqdmzHmVgCfBXAzgBTAQ9baXzbGNAH8DoDXA/gegL9vrb0YKmsGJmehuS5J41J8yvyi333cA5BNANJzydhQLsJK0YA+aeclQwBFLDTSwTNOiVPhkH1b7XcBtwCJ8N7tODkgswj6CLz2Xeu35uQL7M+Rx/u1zIhb1ab50YktMV7cAqjp7DjIIFIWvC+zJsIFp69a6LXRSBP8hhNJgcGsvavufA1eBhHZls1OVztZqeEkssgX2syk2M77Ibkl7T4f9hFyT4D8KOAOvUCm7lip1HB8DAYF4NWjc0sA/HNr7RPGmBsAfMMY86cA/gGAr1hrP2WM+TiAjwP4uaKCNGi7uRRNfcYH3+7mu5+I2rl0UGm/LIgJ18+RJzkRxp00O4V8Memg7TIySMunprfhooYkUC0TAS7xIV2TXOTA7q8sRLqHOE1uBdQ4Bc6hyMN1Wo5IcLGJCOBKpYbG1Ak8PXUCC702VtobA/ediusD+lDZd8DvJiLF0Z7JjAT03mZYSir56XvnVM+5dNANhGfk0MrjKArV0tQlvr7OCYI5DAfn4wCJm96d+LnlKCRu1tp1AOvu+2VjzLcAvA7AuwC80932WwD+HAXEDSi3U5XVg3Fw654kCnzXlUSNL0qe255OJF+OYsw40/0zTrn+mqutnEuge+91xI04LxkTKxc7H4uc81B0WD5rJPVREtUBIibELLmQeb9JVCOxk8qS3N9KpYb5agP/V2MeX73htbinvYH/sruDJVb2O2rTaEcx7k06OOP0kfyMBDkuHNyYQONJad15LjMfIZIcohbwT/2SorkkrHwsNTE/JFoWSR6y7yHdM/+dt4e/ZzJajO9Q5leZzs0Y83pkB6yuAniNI3yw1q4bY27yPPNhAB8GgJtMNDC5gIOHlHCdkRbsHgJfICuVGhYd97bkdsGTLuvpM/UbASDPJzZrBo9ra5rBXPncwZRzDlK8k+3gz/AxCnGt2iLSyuMLV1qIiUtdwiARkH1omszwsO76TuOxVamhGsX4MWdhPecMJDP98pY7jYsEMpH/ZHcnd/9opAmeEgQnFFpGkAlPW3Z/gtEiw4usa874T6Xn93BCRNZpTsB9hoVhxF96n7tjCJx/1SWrNMZMA/g9AP/MWrttSibFs9Y+BOAhAJgxkeUpWwiSwMkFO6xeQtsR6ZMS+1GdtJDmqw2cc6evvy1NsFWp4am4judq0/iL6Zsx0+/iwa3zuZ/SvS6UJteRscV3kRGy0FkQwH5dmOQmfWPAOYeWTXGfsGpynQyNBz9qrunE4LNpgpVKDX2XHHTBplhk4hrn7ppORNyq1HAszTIRN9IEG3EdG87Jliy+ZGyBOEAnJEJS27hrw5l+F5s7L2DORGiYCD33LFcj8LNOtfGigHxejxS3gf2ivtQJc+6O5o9Pf+azxjdNhPdXG1iK4tz63tzdRss5bId0qHIMZVsf63exdQBGYQ/jE0sDOvtfBPDfAPi+u/XnrbWPuGc+AeBDAPoAPmqt/WN3/YcA/CaAYwAeAfAxa/3UvBRxM8ZUkRG2z1trf99dftEYs+C4tgUAL5XtsKY3kDoNDp+lKASNI9y0gxlcOREkIkUEq6dMII6LNsUs+58U8OcEZ1pkCBhFBOfgrhA+jo1Ai1K7b561jYizdJLlz1G+tWNpgnYUY9sdhdgzERr9HgDkjrbDcuaSMMmx4rpEyUlJlxPOrcn7+T2+zVTOI5/elLePvmv6YKlPJMNRU5mvZVEmGcNwGKvOzaezB4D/2Vr7S/xmY8ybAPwkgDcDeC2APzPG3G4zOfnXkEmBf4mMuD0ADCRFGUAZa6kB8G8AfMta+2n205cBfBDAp9znH5bpZUh8DL0kzt77RFkZdiS97Fs2zU8rovLyYGzHdZECG8icRnsmyjiUfi93i9hJB08r8gU9+wgXv0+KRi2rux5IxbP2nSyHPgMNcTjcjYQ4xabjsHaxZ3XknAsXo2hsFnptbFVqeHbqBM7XpnPxfXF3O3eRkccHauAcEed2JWE96bjledcOnrX3ot0TrwHkDtWSuPkgRXEtvhfIwtA0PeE+LtDsWdV5G/hcnHEO3Dyvm2/u+DhduVnF11ma8YDO3od3AfiCtXYXwHeNMWsA7jPGfA/ACWvt1wHAGPNZAO9GgLiVIflvB/DTAP6uMeZJ9/cgMqL2o8aYswB+1P0/EqSOosy9vvvK7n5UzixbKES8ikCLdS1NBnylWuyTfz8ItN1ftkX77vudCJZUtPM/uq6Npe9MA549dz7p4IT7TXJ/BwFxOvxgbNnP2YLxKouQA/mmHY0j5WW32LhRPQfl4scJa5NSfwDmjTGPs78P+8oUOnsA+Igx5j8ZY37DGEOC0OsAPMceu+Cuvc59l9e9KGMt/QvA6zxzf9HzIfgmvS8rg6bc1cKytElHls9T7GQlINPpAACc5XOBRQu0oxjP1abx1Rtei/mkgzs7FzHDDvVoCQKh1c3FoSI9Ik1wzSesiBuUBGvfb8q5mFJ5LuviHDYpvTdtijmXtLNuIpx0RO2NnUt45+XnAWSc206a4Fd77X2OsVr/uTKfXE04ISYd2xbTcxIxpUNWKLFAyBggxc2iKJCijTT0m9zYJBfaNBFOuX61bIoHmXO7tiGENjbOESZjMSgMFX61Ya19a9FNis7+1wD8TwCs+/xXAP5r6LTGBq57cV2lPNJe4KbyAjVoOidZbtNE+c5+kZVLz27aTJlOXAH9kZ+V5BSKuBytH75+FkGKpRJFv3GiOQyXIAnyqhPLaLNo9ruYBwYcfn+Xibu+cnyYY++oaSJAEAlplSbCRuFHZdIscVHbx+0O+45kvfJTq58IID9smsoqy+3yuTs+3dt4XUE0nb219kX2+/8O4I/cvxcA3MoevwXA8+76Lcp1L46EuPmUu0UvVL5AKTr4JjaVezZNck5NumbQBONcAZCF/Pz41nnMJLs42d3BQq+N31Oscj49oNYn2X9tMXEORMvQ4RvDIjFQWvzkc0WpmyiKgUCnvvMwJmkE4LpF+p8TGNln2njoPiKSp7o74Hz3owFOh7fdx4GFODuaG75nfZyU5s+otYdCxMhyS8+R3pTGOOQOxMulMsdlBhijtVTV2ZMx0v37XwD4a/f9ywAeNsZ8GplBYRnAY9bavjHmsjHmh5GJtR8A8Cuhuo+UcwtZsAgh48Ewz9BklX52hKbJfLjagjOYTzp4S3sjd204p4iMvF7ettDi4daxEJdQxEHI3zUO0bcwJAenESH+m2bxI6JW1qBSJG5t2nTA347+SGTTuK0igwWvRxPZfQiJqzzsSxJy3/yT33lm55YytsPoKkfhNv0Yq7WUdPZPGWOedNd+HsBPGWPuRiZafg/APwYAa+3TxpgvAvgmMhvkz9o9NvJnsOcKchoBYwJwyMRtxgzGlgL7uS85CaX+h8AnkEYctRQ6cmHMmb1U3qvHb8JfVRsAMtHnjZ1LuOtqKz+EWR6iy3VCGoYSIVM9TVKRnk27RxsLPrbcanoqrmOau1WwpIkaEeLvhhPwgzhhU9mciHFLNCe4vC++Pvo2FN/8CrkgSZAozttM4jD3tWvZdOAMWdkWCc4lyg2QwDfO0D3jWNDjDJwP6OwfCTzzSQCfVK4/DuDOsnUfKnE7bjLzOE0ALZc9n2yhXZ6LaxJS1JEiGP+tX23gmWoDf3riFjxTv3HA+jez80J2Y9LBBcb1ScIWmrQ+gqVxRVrQviyHFoBPX+QzrGjEPorrWGeJBO61+7N3SLcdrksLiYSyDz7io3GOWmYW0r+VtR7LvoeIXEhPx8Xnphk8po+LzPwkKy4h0F9IOpFirOaL2GRtlL/xdzQ+V5BXQWzpuCsrElW0UBpO/Oj+IgU7fx7wW10pZ9lT9VmsTr8GM8kuGraPe9obuJ9xFJvKZwhlRLTQc2XLLXqeL0xOQMn6uOFSX5N1+P2OuPxKd2eg3RqR5hxPkZ7PB350XdG4cuIRErU5yIrsC9EqEt3lBuYLS7vbjWPTZSzRfDm1jbEIGiHzWeSB8VhLATs52m+UypajeIBjk5OH/ufHn9H/fBFxDoLg253pN7komibCXZUaNuM6vnridXjHzEn0em30em08c+WlLHMri/vz6eu0NvhQJD4B+7klOT4+L3sJ7qhM2U2AvVOknnDhZevVBjbiOl7Y3cZ9AN7h8qW1AuOvRQ74CC8RU00PpTnsyndERJk76HLXF0nA6R5eDt3LRUteB3+/vjGVHBkv73xtGhtxHXd0LmGZnkuTgfro2dV+d0Bs9RErTVWh3TdefRsw4dxGQAfIfaWk3m3Os+gJmp5OwveCfeLbnMn0aSf6XSzubuPq1Rb6/R4Auy/4XbZ5GGVvCGUnJhdLhjH7L0UxPlqbxnQUY93pFKN+F1tAnm13vdrAuakTqNoUN7sYx+XdbZVL4Z9l264RMR8RCY3rMK5ARe3y6Ws1nVyobTQOlCRgpt/F1wWR5BsE59y4LtGnBihq/7WAtdnfyx2HStxaNjvRybdbc93Ykthd+U4s9SBFRE3j2OiZk90dNNIE/2jjGTyz8wLOuVCik7uXseNEtJBzpexHWWuXJspJ3Rr/ThkoCNrk1vRqvzB1Al+94bV4odrAE415VNM+3rmzjvmkgxeqDazHx7B6/CasHr8J56vH0Y5i3NG5hPfubuOMU+5zj3yNwGvjz9tXltP1jZcMQieOXyOU3GgC6AkLeD9aZjDDC93r031q7V/td4H2BpomwudEQP4SkAfILwA4affcPQaygTB9ohS/y7ZnfDo3A2vLkoZxnNlwbXCoxC2xNsj58N1S7sRl9BS+yAYNVPaOCxmiFNbk47aQXN0nyhYRtmEQ4lDLcGUaYdF0S+0oxnPV41ivHce52g1o2D62r25mcbQw6EWVvdAz5vDdM5FKqDV9V5kxGAenW8Q1czVG0zOHfG0qMmL5uFS6LokobUj0PmRYHxe3QxywtnGGxnI8C3pC3IYGBc4XTXSapHIhaVYkug7sVxQTx8UnHJ9UAPCZ7k6mj+q1sWgifMCl9Kn02viMO/uSL5Syi3SYxaxNbt7mtTTBYwFiyPsudUvP1G/Ew3PLWK82MFe/EX+R7OKeK9/PiFtUQSNNsHLlJdzT3sBCr42T3R3MuQzDi47LgIsC8G0wmkhIY1XmfRdhU5TjMw4ByDPS0hicct9PJ519z9H//BQtDpl3jYuSvC2aiHsqruehfhTYz6M7KCfgnBgrqSvkVlqaC2ed4zSXdui+8RwQY2BtdSwlHSWuq/ArDp+ejC8c+Rv/TmKcT9Tj9XD3A644l5OME91xI8QZlOFateeJc9uI69iq1DBvKuhFe9OfnwFRTfuY7+/iZndOAYC9U7iiOBdPJYhbLKt/C6FobMvomXzzQhJ/rUyf6ww9H3LOpt/5RstD/bgUIA+B9qkoOPi89I3zuIwK1hqkab34RgDA1ljqvBY4VOLWh933cqRp2+dzRC/3/dUG7o7redohrqymiXJ/tZGfJMVTgfPJSY6ifCfmE1izBhYpl/n1EAHmhFeiafbnD9PGySei0P/LUYwH4jqeSBP8iPPXm+l38ePJLh7cfg4LvXbuAkJOygR+APItlRpuF3pHCR/B0PRDwyzAMmKYhrNpgma/i5VKDZHLMXcK2bvmTsIhNcam3dODrbHrcgx8bVtzoX5cv0fEbzqKsRXFWMT+GGdZLo3B3W6DOtVrY5lZ7+dMlCcqHR+GEUuvXxxZD7S8axrk5Fly/lkNE2GZETaubyHftaUozsWUpSje5zXOJ6q01kpFLuDf/Yftdxnu09d/idAu3o6yU6NO7l5Gw/Zxm8uzdkfnEs70u1iKYtSxt+hJlF1w57Hy5AHLUTyQzbaofT7FdxGHV8SdlKkbrk/LzH/vpMK1c3GwbLlFjtv8Puk6RPpUGtN2FGPW487E/6d32Y5iLLh08CEG4eCYiKVDowITJBBcpyYXP31f7XdxfxQPHMBCv9FOtpJ0sJAm2MHeoS88/lEaCqg+qeTlZQ+LkHhEdawFnpEcnA+hjSGPjXUGBLIMn2FhZFTvpt0LGZo3EZ5zh+IQZ7fSuYTPi1TYw/S9iHOTetEyKCKEZ108MJ1QphGyorp8OkYJ7jtHqg45h3hdPRPlG8j9u9v7NlOZzmuj18Ziv5tneia/RW7MALK83AfHhHMbqbKiXUabbFxpu5ZmhyNL8Im0liZ5Pnyp2Obfi4iHJgYeBCH3FblQy3B1dF1uBLzdM/0u7uhcQtWmqPTa+I7j0vh48DrpWToroW0qaNg+HnRqAR+XU2Z8hh3DovtDhI2I9Tk3F0IEWVpUiwLfZd38nXI1h/YOm4xzW3fqk/mkk6tNltj9S9hTm5DbCC+LdHd87o8pl8eEuA1dmdnPue2bAJrug30nfQq3YskJTqKo1I1w/RwwyPWQFz99AhgIo9FE1BAxkuCTXe626jgUcDuybm0MzrtxmkHGxT3JPPupbBJFabxaNs1dY7hO7ozHongtoOk4geHOQeDvkF8nC2XI9YPK0vor34n2bnwqB7qX0tmTnpMfEB6KupHzk5JQSMPZQZEZFI6NpayjxJHEltLuqL1Iuubj8HjoFokC5E/Exawi500CTToyWKxUaph2C70o/1cZwiZ/W1W4Th+KFhh95wuH7+Knkw6WohgrANbt/mBuHpZ1slLD+X4Xn+u18WjSwds6l/I6qjbFv0yKM7P6FlgR1yS5IC1YH9jv8sO5cl+9NN6cOHBCHhJVy6omiqJrJHhKdvqfntf0mnlfmUpjpVLDrIkGNp2WTY/Az+36xZH0oGh3BIpDrN5fbaAxdQIAcmvfr+9ue2NV6VqIQNFvy3YwNEZiGANIkfJcPlM0LvSc9ju5bUgio/VbtkFmGeZnjvr0VUWENwSNC6Y+cDEv1Hbfdc2Ng5Js5vU6372icuU4avVouj9+TXKi59IEi9g797UhYmVl2yWXyC25vucOhglxGxoJ/Dqaol2fv+DlKAaONfHZ2dtQTfuYSXtY6LVx6uKzOM04DHnOAV2Tk43ERL7T02KWjsMa19e0g7q8MtD0brytWp1y8fBP4kq4WC9FcU6gOLcq6zqbJvhVlhWEExgfsfG12df30G9cVF51J2gB4ZREvrLIUv6O2jS2KjX0bRaF0uy195XHlfiynZqOlH/mul52H3cC5uNM+rNld/+ZgFsQGQ3k+K8B+66PDxPidujgk2Qgl37aRyzET2C/WKH504UIKs+qASDIzY2KEFdSpEPhffDpfnh5Ps6rZfWDmAmSaBcRsaI+ldUPHYQjIVGVi7nAoAgo+xSyjPr6r92vidOSO5f/S1DbibgRzjKOU26oLTseg4K1E1eQodGxVk1ECIStgcDgaekrlRqq6d6J57d2dzDT7+Iv2ElIhCLxVvNvI26AOIiP1KZx0ab4KNNDURkDO3ia5Omii3ZS+fuw3BBdJ72ZXMRyp+ehQ/w6gAFuVXItLVamplsqIlLDcHTyOaD4gKCieGJ6R/xIQjpYJiTyyrZKLj6kl5Nlcr0f/51f14j+SqWG2x3HSW4jb7vawlx3J3flkWFxnbGk85hwbtcUPFKBJ1gkItexKeaSzsBZmcMcwisnqU+PlXOJykTX7i2jTySMS5Tgog+1T+72Wr0agZV948RuH+EbklCV4dbkcxrHqaHMPfwAZwI3ShAkwZwT4+tTJ/B2hIwMml7WJwrLc1plQgNeZ8um6IdPuyuJYcKvrl8cefgVQb5cmlTElr+/2shPHO+ZCDP9Ln5k5wXspAlOO8JWJribiOT7q40BzqvVa6OliA9n0wRfcQH0/LpGCIC9nF3Uh2F0ItoE1xYCXeeL7l6Xm20xTQYOsRngTsShJlo9PtcXgi88ztdGqRfyEUbJgfqCyGV7i1w65PkLX2NJOH9x6sRASivipPh7pfAmeXaCTMogEQpT48HyfFxIP0j3LEUxWo6o8QOwF1lbSOSdRCjsx3XHuclFRS990cXjAch9hL7iDv31ZXXwlU16NHmGqW+X1SaxnJgy1VDLFifg1MrztVn7n09o2t1p8l8U7ZMcWBkuSnsXoXYPy9FpoPfji73l9w3DOfL3dTZNsFKp5USiSJfKiS61rWy9WrtD0oIMvG8BA+d68HLmzJ57iK++UZDp3K470jA0jiz8ygepCyOc6XfRZJPqu3a/Qpgr/vluphGm00knn1z0v+S0ONEKETh+v2wLt6SWKUf7PwTyxAeQZ9VtRzEWem0s9NpYwp6FmB9HB2TuNItRjEeTDk67g2GKxCj+/jTiPQynysuUBKSIkAL7xW26R4rknIgQ0VyOYpxzeiuflZu/T+Imua6rbGiWBHGpck6cZWXSOKykCarYUxmssk1KGpSaJsJL6TgCsCbEbSzgL1lOaL4jyUkqxRLi8ORvvsVKcajyfARZ76hcl8wkzNt6UEjxrmXTXFzfiOt4waUTn086mGWEgsRYau+CO/1qxRH3UN/4OEvReNS2U3m8XHqPRe4fsn0SmqFIfso/Dbx93PGXZ6LRyveVQ23j46jlHWyx34BB5/WmydQ1msW/fuiZeK9fHHlsqY+wAch1Ji1lMQC6s6bUQdB3TRQjvU5oB26y9mrpqIsQ4gg0YloGNMFl/4nAAZlj826/i6e56wBbDMuOyztfm8ZdNsUp50/GLad0rxTpfNwVGTLKiMJ8kfKNic5SXWI+Y9xiytsWEom53kxylrw8qZcD9ojPL06dwEmWTqhlU5wW1vhRREHuaynbJNvOr8k6tey/k2SVezjy2FKCjwPguySJE+QcSeCLnRYMTZCzLnDaZzHUQrK0+zTiK3Umvu++Z8rojcroxjYZ50ao2jR3gOVcBimql6IYT1cbeHbqBBZ67fxkLN94aNc4d1qke/MZJ8iwQ/dMVWrYqNTy5Ah8cykj8vJ6pNWYb3Q8K4oP89UGnqlNY6bfRcPFNPPsMqOAiKlmHOHfi8rfZDnpfGL8qBguWeX1i+sinxugL/Qy4gf/nXbEXPwy+zNm5IQlMIl817gejjhQrrfjRJZPUp/uj/pNv2lEQeM4gf1WzfmkM3AGxEy/m3NDvhhd8hNc6LXxdWGUkeMmF2NIF6n1TV7XFmTLpmj2u1hIEzw8RKA+J44c3H1DI9Y+gkBtq9osDI2I2+MHIGy8PgqZ4pbnsmXyciRha9n0ukt5ZIy5FcBnAdwMIAXwkLX2l40xTQC/A+D1AL4H4O9bay+6Zz4B4EPIMjh91Fr7x+76DwH4TQDHkJ1Y/zFr/Y59R3JAjEzVIq1Hw04eup8yQDwY11UdnBSv+PMh0ZB+l3onnkqHPvmiL+IKJfc5rJhK9625cKmlKMYD/S62KjVUbYoFT//X0gRrAM66E5v+g+DutDbx/3OC7eF8ijYuLlJLcYzrtIo4Nqnw18anzHuV7abnaJNIkw6+0u/mRhdZBm9LCFJc95UVAj3PJRjaaB/rd7EzNifesYmlCYB/bq19whhzA4BvGGP+FMA/APAVa+2njDEfB/BxAD9njHkTgJ8E8GYArwXwZ8aY2621fQC/BuDDAP4SGXF7AMBpX8VHqjXUFjRdKzLPhzgunvKIT3CfGBha0LxsInBcLG6aaCAyoShQXytT1l3EUeRxpApXSkHZwF7AOx8bWT8nwmXEZGoH+X8Be3pU6ZcmNxetHVKnyuHLDCPb4RPxivrA65HXgL0A90ddavJRRVGtznHAp0s8OMbHuVlr1wGsu++XjTHfAvA6AO8C8E53228B+HMAP+euf8Fauwvgu8aYNQD3GWO+B+CEtfbrAGCM+SyAd+N6I27aol4WuxBlfdWMAUULlvLkS6fIomd5e0IEjnOFhNChw/x/VRQTYyE5Ee4eQCFhp+J6zuHwOsnFRdbBRR8urrasn7sMLZj7KrXclWQjrqORJviNzqV99dBYcqs07xNZabmBYcDS7AmTapoIp+L6vgy4MqxKOswSpF+iFJPnTJSP5emks8/Qwp89TPBNlnPS9DeOCIUh/dzmjTGPs/8fstY+pN1ojHk9gLcAWAXwGkf4YK1dN8bc5G57HTLOjHDBXeu57/K6F0du75Vig0+8kBhWf8W5omHYfx98XFeIoxwVXL9HqXsW4joWADSdqCRz2YUiCWghk1J6GFA/50yUOVa7uMd5Rwh4fbQJSDcegryX2q8R+yKuW24qmr5Wm0faPOHP+6JMys6jawFtHo83QiEaJlnlhrX2rUU3GWOmAfwegH9mrd02fpcV7QcbuO5FaeJmjKkAeBzA31hrfyKkEPSBzi2VqWCIQ6CJFFKwSrcADbxMQN9tQ4u/iKg95nR7XOdVtowijpGgBWq/r9rAO2rTOF+bxpcaP4AqLN7YuYRmvztwQjydcyrjJZuO83tPbRrtKMZyr52n39H6IIkVv75SqeF8bRrr1Qb++lgTt3Z30LzaGriPkmA2GRHVMo/4OE0gs8iSJZeeladXcT0d16Vu2nRfcDqvTyNa2sYYcvItu1GWgaab5O3i0MT5lh1XmnGM1c/NGFNFRtg+b639fXf5RWPMguPaFgC85K5fAHAre/wWAM+767co170Yhqf+GIBvsf8/jkwhuAzgK+7/IIhl5rukfPHDBEmX0WkVlTdndGU0tS9UdlH94wQRZAqz2oqnsjMOWEA1gH0bBNerEejkJW38JXiMJf9rmr2zAHomQuLhinqCoBRBIyS0GXLVBYfWX/4bHz+efEEjqvL/w3zHGkLvSIqk40Mmlpb5KywpY9H+DYBvWWs/zX76MoAPuu8fBPCH7PpPGmOmjDFvALAM4DEnwl42xvywK/MD7BkVpcizMeYWAD8O4JMA/jt32acQDIJeBKVTphRGUjejPRcq02cZ4y9eI3SkFPcF3UvrFnEz3N1DW5AhK11osmrcAAVuL0Ux+sgyuL6lvZHFkTp3jq84Lizkh9WymdJ/PelgMU3yJIlzJhoIqpdtXWLfaTxX+12c6lzCfNLJ3SW+rER58LqBQRGbwIkVcZ30+zLj3OTc4SF0nLhpHNCDcR33VmrYiOvZhtC5hF90p05xnaYU9a4FYRuG28u500MUg8ccW/p2AD8N4CljzJPu2s8D+BSALxpjPgTgPID3ZHXbp40xXwTwTWTC3s86SykA/Az2XEFOI2BMAMqLpf8LgP8ewA3smk8hOABjzIeRmW/zyjQCcrJSQ9OzMEd9qb4Fri0szdrpK1PqZcq2rwz34iMOyy7Qf91EuW9aI82OrjvnIgvIYdfXb+qrVOoD/hQ9cpHx8k4nHazYFAsmy1rhiwSR5XIrqLRUcmJD12b5p9PfaVmWeV1SpKPzbjfc4cb3OIMVh3z3fGPULNOjYJjn5Dgenp5vfK4g1tq/gK4vA4D7Pc98EhkjJa8/DuDOsnUXEjdjzE8AeMla+w1jzDvLFswa9BCAhwCgbowFBnUd9Ldo90JhuCWoCHzxlXUJ4L/JUJiQVbVITKV7ytRdROj4Av2FqRN46lgTT7nf6AzSnTTBwyzdU+gUe14ucamah74MMeMWbMkVURnL3Z2BRAakv/tMd2fgWSDjQls23XfcHo8l3cdpu5TndE36KBaNI4CcEM+7fvVMZm09mybeQ1lkOWXeP6DPgRABlnOCSyEhSYJfI1wZC/F79cSWvh3Af26MeRBAHcAJY8zn4FcIlgbt0ps2HTiEZNjdSfPULlO3vLfM7ix1Pr57hhGti0RYUto30gQn+l0s9Np40rknkP/VMOPms17yMSQil7tlKOFr5MgrdT7SzYO/H40D5M/I90IGD23My6gq6DsZFt7T76LN4liRdHLiNsz8kShL+Mq2P/Q8f3dldZnDYShr6XWLQuJmrf0EgE8AgOPc/oW19v3GmH+JTBH4KQwqBL2gA2L4JCJOAsA+J1CftY5+A/ZzbBya2CVRRHB8CLVtmHK0NkhRsJEmuJmJofNJB3/mFv2oG4JcYPydLEVxnvxyI66jZyIsdS5hUziyahwHtVtLjiC/l+XOuS5t2D5KArecdHCvzWJxUZARResblSV/H5Zgac/6+nDYmORz8ygEhwVNuqLkhASfDqhISS/vo+uhrCS+67wNo3Bj/J6i55tOn7XQa+efZ5j7hpYZQqKMHox/XzFRrpv6dv1GAMA7e21AnAymtddXR8umA1mKy4huWhm+uooIJXF/n+u18UjSwUdr0+jUprGYJnmeO437BAadkWWbQly8Nu5aH7SyQ/3RyqBr16MryFFhqB5Ya/8cmVUU1tpNeBSCw4BPAJ7ET5s8BOldHoLUp2nEzEfgfBNzn07Ig7L6oKJ7zvS7eHN3B400waMsvpFEvRA3xUH302KVIUX8NyDLLDLnuJoGEz+lZZJHPDSt/2Bh+p0TbiIsPj3ruDkXLu4+4DaKsnVo7RuXUUnbgIvace24ugnndiBIrokWyYpTOK866xudxenTR/FPSXw0IsgnqGYdk1Y8DhKfuc5qGN1aEXwi0C/ubqPZ3RkgXFoyzJCSes7s5U47FddzC6QMK8oP4HG/L+5uo2pTPMoO4OHjPGey8xuALBaTc8S+seG6N76Z+bLAaKKzb+PRxpOwyepYS5M8xE+W43Nc5vNKzrVR3rkm1hfp7q6Njk1iks/tmoFeMn+RZY5iowkoCViZbLFyQsvnNEJY1I6DgrdBW/zD1iG5I21hEuFe6HfzsyqqgqDxz02b5gfScA5smPMjSG8aiiiRKCpX2yg4+FguCXHZF7VSlmMPtVv+XiR6at+vNYGzNprkczsI5EuVFk/iLrbciVfvTTp5eJHmwqBxZoRh4u5Ck8rXdg2jWt40bkNi06Z5XKim3NZA3BEfP9knMuis9rto9toDxhqfX9ljzr9OWlqXo1hNEUT3EOEmwkIEcZTx0uqQiQ208aDsMVy818RiSqXF2z8u+Lj10DhcO3GUMBFLrwlm2UumMwF6JksceC8G/ZzkRCNuYU0pdxRObBiFbhn4LG6jlDUKyur46LNl9ufE8z1DBIqIFOe+fYp20sEVIbRRaOPICW3oXQ1DQDSRf1wIzYujwUQsHaky3yTbtCmWgDxWsmpTbFVqeOz4Tdiq1HDn1VaWDtvuPzOSLyg5CX0ErWhi+xamvI+D31+008u2hu4tW7f2G//OORBJgHzlStGY969pIvUMCjIMrQbE0zXBPR6UG6b2UKgW3Udtk2eP0mlnNHc2bbovdC3EFfuI5igEUM6D64HAvRI4t8PQTpYCvVAKtKaA7LYLm9l2flezCgEYxnrK6ypzz0EIjoQkJsNya6Eg/zJtC+mNuLio6b58opJPnJNEs+lpu2zXKNAItgQP85K+kUUhf0VK/nHhoOMwPowvcP4ocbhpxqErRMnTfbXfxVx3B02TxZpWbYoHt86jZyIs9Np5uBHfWUm8oYwPnOPigeQE3+QpI8b47uWQBg3+jG/ByEWvpUCXCvcQ51ZGUa1xCpLTBfZSknMuSELjanxpy+XYFSnptffguxbiwijInp9tS/XL0K8iji1ECEclTsM85+PymiYaS/jVxIn3ANAWGE3I1X4XS+6E+apN8XSvjU2b4ssFQfVzbOKSs+gwMYiaM2aRWKqJliGi4tMRasSyiDiF2uMrc5SyypyuLseuLNcDjCfJosYJS0LF3Xfke/WJxsPq6Q4Dmhisza2D4VUSfnUt4NNf8GwVMhU2eeT7XiJPTEiT2ncmadn2+bg4bfHKxeLTxXDukot0Ic6oTFtlG4rQcmPsI+BFZYXaKkOs+Hfu1xYSdctA3rfG3IV8m6B8N1ynWFbHepA2a88NSzB9RhpgXBEKE85trJAEjsJlOKHiR/cB+xe2dEgtq1vjO/8w8aJlFoImltE5CMtRjFV3qpJPka2VeS2glc3bpC1en8MzZYmldyV1ogfJk+YT50lX6HNz4QRBvvOi+kbhqOXc9G12/HuZMQlttOPEhLiNUFlZVp+ucX+l+8Rik6FaIT1OkZ5sGJ1P0YTSJvL7qg0sRzHePXUC52vTuXPsvS7JJJU7yuLxYVQO4yCiItdrceuklg3Ed8KZj5vRdLVFJ2RpzxWBc9m8vcNgGAJatk3ccKLVNy5kOreJK8hQqMB4d0JtR2qaCHc7P7d7KzVcVDg4Ekc18U4TH31ELqSk9523wMvyTWByi/hobRpRXMcjJ27B6vGbsNC9gpO9K7jzagtLu9vehe7ToWkLp6xi26eQp7Ero58MhamR/pOskosuNXrVpthhnPmSOzxGEoKi6IYy/SzihjTdG3+OH5+oJSgoA9+8KGv84ffIPHu+erbGQuQmYunY4GO16ZPcQmaVZ8su6LJ1y7J9YtAwIkTTRJiOYqxXajhfPY6njjVRTftY7F4eKK8Mt3KtuAG5EZQhcASZVYMIFG9j1aZ5GJdPJ3ctMIzIRxjV3eZawzdW/H2N6Zz4CXEbFnVj8qPeQrocYC8Okh9CUmVEr2VTrGG/VawoS4OPEwrB18YiYkQ77pLLi3a+No2vnngd0tnb8JRN8c6d9TzbxjDgOzmhjFXTR6gHCKaHQyFCPycIIp1ORUYfAAPnxQLZ4dBgXLesf5h2h+4ZdXOTnLnkIrWIl7IIcfX0e5n7tI2Ic8/ETT/vzeg9DCbW0kNBwy2GRprgot3L3MtRlrBdK5RZWMS5LHSv4A86W3hPdwcz/W5O3EJ6o6LFHdLVFbWb3GZocfBYz1GILhG/WRNlRI21T2b/GFZ3ea1wLesZ1fLr+803ZuNwqSFM/NxGQGKtqgfjkJzBw712rvcAMHDG5rALcFgFuxSPNc7Hx+Hw/1s2RaXXxh02xX/30lP40Oa3sbi7je/ubuMLLJ9YqD98TDiXFDLGaM8SAVqK4vxEKE6EaHxbgjAtMZ2PtDxSAPqpuJ6L4D0As8i4trPsAJvQRqSNry/9EG8bb49PN+kbGx68L3/nDsyjbiBau0PXfP3W6g+N0UFh7Tg4wKPFkZNnn3gi9Vtc/CQrmVwo42pDUXZeDUVEci1NcK/j1ADgyaSDR1y0RZnU29IqeBD9In3SiVDU8pMlRFsOUh1QmQvO+LPlVAgzwgos+1q00fH7QvqmcYDGXStv1Pk1bNuuJ12fPWTp51rg0MOvtLxpgJ42nMSmpokAdyCKfE5DGVcC4hB5OI7POCEnvSyHt0WLOmjZFJ/rtfE5lxyROFEfhyWxUqlhKYoHTrgaVaSjPi9HMVr1G3Fu6gReiI9hK57CGzuXsHLlJTSTDk5HcX74iyYWcc5opVLD26ZO4LPNJbRNBSd7V3Ci38XKlZewxpJsFrWxzCajnZlRdMyfdl2rV57grp0BW1ZXq80X7dnQPONtC4Ef2UgHnx8MdkLcRoU2MXxJJRddlpBhoYkqBL5A5MQOGSJCAfrS011O5FVP6m3eplBf5ky0b/EdBE2TpZN6IT6G81M3YL3aQCNNcNfVFuaVKAqtjTSOy85g8tSxZnayVBuYNxX0TDmnaK3sMu0fF+RmSP+Xcawepo6iE7x8c7ZI/TKqMcUHay3SIbn46xFHKpbKnUoTWc6xRIhkaZXOuwTNbcJHSAlcdyUXsZx49Pf+amOAeFGUAW87F5nL7PKcOMocaqTXKqv3Kbvw55MOtlyKoEa/h9t2t7HQa+McHaXHzlMgcEsopRg/N3UC367fiPX4GHpRBb2oAiBLX7Uc7T98RYPGwcv3LC3E/H2FOHXOXXM9nSxnOYpLZ1zWxrjI4hlKfBB6vsjgxMseFyac25Dow+57qUX6pbJ6GbpXI3DaPURMKF7VV4+8vuyOvdtyWUtOeiYeXfM55/rax7k+2e5xEjYgs0DP9LtI3DPzSSc/gEZybQQSkWdN5p5zvtrAORd1sRHXM+LmyuuZzIGXuFbfRubrQ6i/2sam3V+UkZfawrn5Ua3uZfWCRf3i+r8iYivLHt/pV+MhbsaY3wBAB7vf6a79IoD/BsD33W0/b619xP32CQAfAtAH8FFr7R+76z8E4DcBHAPwCICPWWuDMviRGxQ08N1aiwrQXjr9BpSztNHvtOv7dH/LwkpIINeOqkJ0homd1J4NLciDiCAkGlFcK+AI3O42bgNwsruD3w+Iz0QApqMYW84YQemoGmmCD7p23Xm1hfmkg5Pdnfx8BXlOwX1inB9zBwIRJFcmN5wQwSgyTnDifSqu4x9PncgJctWm+PXd7aF1mmU5vGHeHe9nSF0yfoxV5/abAH4VwGfF9f/ZWvtL/IIx5k0AfhLAmwG8FsCfGWNut9b2AfwagA8D+EtkxO0BAKdDFV8X+dw0+HQSBJ8ooiUiDEESIk1vxommJHAXFULMrYNa2319lf+HOAHfDl5UJxkAFqMYGzbNz0J9MungN/rdfaev80+yjtJhzRtxHTP9Lk52d1C1Kd58+flcTD/DCAiNHXHkc2YvY+5Auz3uLT5OlrdLu9dnoKD75hxxe+pYM3cSn+l3sdRrq642oXcoxz/U5mHgMz5odY4T4yJu1tqvGWNeX/L2dwH4grV2F8B3jTFrAO4zxnwPwAlr7dcBwBjzWQDvxvVE3Chwvsxu5psspFgvUrCSRZLgI3Ia58Tr5oSEYlrP9LtoMufbg7poSBQR5NCOHhKp6Rr1A9jLfFzk/kJlkUsLgRIAVG2KrzmfPRktoemM6P9xZAiRejr+m08C4O90mfVnRklhP0z7tPuH7V8RZ+q7b1xEztqhOLd5Y8zj7P+HrLUPlXjuI8aYDwB4HMA/t9ZeBPA6ZJwZ4YK71nPf5fUgjkQs5XnEQtYoSWSIsPn0UgQ6n1NmZfVBElDfbskXOJ/Evonn+59zQ6Fn5TOhMZLXQuUS0X9rtZETNxoj36LiBIoSiq7Qgc0mwrk0yU+7omfuc9wZvQOuUpCndxXpJn2QVkV5TXJg8n2u9rt4YHcbQEbod5zDcZmxL9OmUQlbk72Xw8dQ1tINa+1bh6zg1wD8TwCs+/xXAP5rQI0ds4HrQRypK4hvsco8XVJU5NZEbecnj/kirsD3G9e/SaKope4pWy7/PUTgyirLhwVXmDdtikaaoJEmeaYOLjr62pMTOfZM00SqNddHUMpwJT4jjc9lxLfZFaVEatm9c1fp/zL6tmslEpYljBpRB8aVFeTaWkuttS/Sd2PM/w7gj9y/FwDcym69BcDz7votyvUgjiTlERflONfEU4VLvdmS+75SqWHWcQrkGkJuGDTxH2O6I3reJ2aECEuR7kcTt0aB5GIlhuHYfOUTeALQp3ttLDk3lrNpgpVKLQ+CpzGjE7M4oaJklDKNuzaWkhMJ6aR8xIsTRLnZ8U/eRo2Lk4SV+rXKxGn+ye+R7R02Q4zW51E2Xk0PTMaa1X53bAv6WhI3Y8yCtXbd/ftfAPhr9/3LAB42xnwamUFhGcBj1tq+MeayMeaHAawC+ACAXymq58j93IDBFyb1KJJ4kAsC3asthjLJC6+FEnZUjLMtZRXg+Qbj8e4vUhmENgHt3jJGpBBXrBE4HxeoEVLN6i6zl1Cfy7yP62UOlRnXYTGkzi0IY8xvA3gnMt3cBQC/AOCdxpi7kYmW3wPwj129Txtjvgjgm8jsjz/rLKUA8DPYcwU5jQJjAnAEBoVQcsNllz6H68n4AiNOYVEcBLPM3Aw4ijgvuuZbqHKXL9qtyy6MUBm+38tM4qLy5sSmsJYmWLV7adz5GEvCJo0mVE6Iq9S4Jo3wcONP2fHTOH/eZo1DpH43TWYlPRXXAWQb5hmW7l22wycCatfKzLkyKMutk1M7/f7cSLXtxxitpT+lXP43gfs/CeCTyvXHAdw5TN2HS9zM/ky8ErkiVfxPaNlMXxQSb8pgGKtWqI5Rd+8ibmYUbqioTPmbTEag1XstMk742jbsWHLdqCTCReFcy1GMKWfw6JXkLMeFUeZM0bumflfGks9tEls6NGTKIxmJsMn0H3KS0iJcw/5zPYFiXVrICijv8REJqRPyKd7LTt4QMZLcQFli6LtP6t1IVGsqhKEIxG3x8Qop+7m4J1UQZByS75QbN+g5n6piGAJMqcMpI8pMv4sdl5DgIM7XPk4+9C5G1dWF6hwXJrGlY4AU9fgkl7ndNj2LkCt9y7LzIRTd7+Oa+Oc44euXry5Nca5dL7KMyjb4iNcwxEWKp3IcJVHnXJnGqchyfZDnPsyaCOed/tanTijSWYZQtNnw8stIMmXqGhf3OU6d21HiSFMehXRYPksYBz1Pn2TZkxxJGZS1NPraK+/39WdU4ldmPHzPcJ0MpQWnFEqScw6BQsM0y6FPJzdnolKJNYmD+/H6jThfm8Z80sFCr41Hkw5+pbuDptmLauDiNLU7RCRlfZs2xaNJBys2xXecX5t0PB4ntzSKHm4UQtWy6ZhSHk0C54cGBc5LqxeBiy6SqLTYMxwk2mzaQRM+/VaEYXRUw6AsEZKimnzmIFY5zWWCMnm0oxj3msylZk0R87V+hBTrmqWTu/bw82g10Ht8ojGPx47fhDs6l3Db7jbesbuNz7tszJK4kQpDiqtazjepsjjt8gNyIjkMDsItDasbPXxMOLehQX5uIRT9zuMTaUHwVNnc6ib92w4CbcGUEcckcSpDrELWt7KQui1+7VyaoGlTPO04t7NpOIJDtqkI9H7IWZi/B5lOiqx9vPxq2h8oj+v4mibCEvarMCQ0Xawk9lod1CZezrCGG1mv9pvv3lE49GuBVw1xM8bcCOBfIzPFWmShEt8G8DsAXo/MV+Xvu/iwaw5O2OhkqapN8YDZO5TkbJrkIT7jqC8EyRUclID7ODitvlBbpOKfi+/AXgZbzQ1Da2MoOkDqPImg+fLQ8RC2ltk7I3TdpmjYfh6vSuXPmShPXNozERYALLNzGTQpQLbR1y+6Jg9h1sRdLdefVlaZeaA9V9TGwyB2r7Zklb8M4FFr7X9pjKkBaAD4eQBfsdZ+yhjzcQAfB/Bzw1SuhVlxyxgRsCbT29BLXqnUcLJSw0ZcxzmXsqZqs5Cij7Q38KiLWpAZcKV+aBTLlbZwijhEH/c2CiEchisItYUTnVEWjcxMLIl8mbL5+K+lCRZ6bfRMhPmkg/mkk585AewlLp1V3lnIUsvrCbVjyeMvqdWhceSyvFE4dJ/u0Ee45f3jOdrvVcK5GWNOAHgHgH8AANbaLoCuMeZdyDyPAeC3APw5CogbOfH6RCCemYKceuerDQDAslP8EuFbiOt4ZuoEnp06gT85cUuehqeRJvgn3/8mfrBzCXOdS+oC07JIELQJGXJzIPiIZJGVk+/wnPvhHNewljz5HI0ZgTYK7ihdRCzlwiZ9GomIpAPj9fJPmRBSI/ar/S6aOy+gaSI8ZVM8xcpu2RSbvfZAO2SAO1AuCaY2Nvz8Va1cjlzkZuOq9Utu3r73EapnGA4aGJee6dWjc7sNWcbMf2uM+UEA3wDwMQCvofgwa+26MeYm7WFjzIeRJZlD3V0b9sXytDxNNug9k+UWW4+PYSOu44njP4CqTbGy8yKqNsWP9NrqaehluRSfvoW3Ubv/oKIDTX4tDZH0DSw7+TXXiVHTDZESny9yH2cq9V38Hq2vZSy2ofnj84WT4ESb2jAryuX63bLwiZfS8VyO0TB1HAZeLcQtBnAPgH9qrV01xvwyMhG0FFxup4cAYMZEhXbqAQdTm2KB6dAeczvqchTjfpuiZ7JDTp5qzGFx+ma872+9A8ZE+KMoxhMXnwUAvN9xfMCgqKTBx2U1jT8hIrWZPn2e/iFITo1SNpE+ia4vRXFex2P97sAGIBcMb0OZtDkhcVr2nyPXQXmIl/xfLv4HXQjUqsvESyd8kTqCVBP8Ga74D+nWiIDzvtAYUjncoivr8BGdMoST2k16YW4Aof7IgH2OkEivJQ8gxGYilhLKELcLAC5Ya1fd/19CRtxepOh+Y8wCgJdGaYBPd8EnFaXy5tY30q810iS3rsVxHZVKDdVqA+vVBtpsgfCyx6mUHfeOyxfdmrjOP7X7+YLmXKSPAJSF5BAl0QiFbhVxWUtioYfUCMO2m+7nHDAnbHRNcmwhlHVYnjN7+uLpKMYs69uicI/RpIPQXOXjITe1cYilrxonXmvtC8aY54wxb7TWfhvA/cii9r8J4IMAPuU+/7CorLoxuVWMwF8e6T2Woxh3Owvoo+7cS859Pdbv4le7O/gIskywPRPhiZ0X8FxtGnFcx7NXXsI9Thkd4taGJXJFukJN11QGoUUr6zwrrIOn4jqWoxgLcR3tKMZWdyc/H5U4NiqDnwcBDOZvK9tWqnctTfJ6qK9aMLs0FPG6Vyo19F3CzCXmSOvTo0m9HV/YPkJKekEiNDxRat5vJXVT0XiELMdUL7konXdzlwg5qVn4aW5aGRzaBkVjeK/z/7toU3wt2Q22uxxeXdbSfwrg885S+iyAfwggAvBFY8yHAJwH8J6iQioYVKZKUztNvqUoRjuKc46NK3hpop9NEzyadHC/ifCW9gYA4F9cfh5vi+tY6F7BTLKrHt5C0AhQkb6sSN/mK3dYaOKQr1xa7FvuRK7XOIIjic2wVldpvdO4t6I+cpFWGnGIMLXFubSSI+RtpLKW9qoI9oETUxJHicD42l+GM5PGFR96JgIYFw1kGUjaYixGOY+WxpBiZAFgyqaIJmJpjlLEzVr7JAAtlfD9o1TqSytDhK1Tm8aXZm9D1ab4wOZ30OzuZOlomFsH5+be1rmE+aSDX7rwl2ibCha7lzGXdHDX1Rb+QOitKJrBJ0rJBTwMVzUsQfPt0GsuakAq2bWF90jSyVJF2RR3RDEeTjq5rk7q3zj3xDeYNaaX9LWtKQiQJL4+oqCNId272u/ilEvxLfWC9JxM6aMhJKpTqFmnNo2tSg1T3R3sOv0e14NxjpCSdnIfPWoPEUee6VmOM+lL0WsPPHsqrudGMLqXQr/kZuLrG40FEWsAuT9g1aZjcgR5FRG3cUMjAnxneyqu4y+mb0bVpvjR7QtYTjr7MtPRpFlLE8x1d7CUdPBTSQc9E2Gm381EWpdhFthvVg+5pMg2af9LRbWmyB8VRZ73vB2SkHGxlbeFGwU4B9O0g/q5awXJpecbjDt3gdrNA+V97SEHYOqXRhjofVOo2XcccZvpd9FmdVI9LbNnuCCDDidMVD43QjTt/kzFBJllhBtFuPVfOjnL+rS++fSv48KrRuc2TvSxx5looBf5HhPh3Ze+BwBY6LXxNUaggEHOj8csLrtJ/123cKS1UZuofNcs4tQ4Qi4HRaKSD77dm5fpM44M47smXWpC8LVXEzU11xVNjOb94YScrmknv1Od/D45FtK4wgkKOQNXbYpF5h4k9Y1yXHldsmxOlDmKNgvi3Hi0gxTH50Qf8znK2kG/L7O29sPnFJfGhLgNCTq31KfA5q4AP3/xWfRMhK91d3JiKCeMXNh0loJmaZJ6Ep83ukbgJNGRizrEiQ77m7wuxUjf/VwnGRK1uTgmQ4m0BamJn0WbQJGvGdeFhbJx+NQX8n3wTxnZQpjpd3MC145iLBFBSZMBq7TWbv7eqezFKB4wRBA0Qsn7S/X3zCBhC21EHLlVnJW96tyCVio17I4lK8iEcxsJZRT2a2mCJx2hKuJEyoqDtBvSbn4qrg+k1tb0JkVtD3mnE8YpOpQRpalO2Qe+QH2caogohurSnqW6JLT283aQSEh+jb6yfSoDIiT8d3IbakcxGmmCXRaT6nvGB85tltW50txd7XexbFOc7O4AAP6dEgnB31PoXUvRnYjd7pg4t1eTtXQs6Fhb6HZAk+Cfdi4B8J+5AOy3rGn6DSqzaSLMOeXyVKWG87VpvCZNsCL8q/gzwOCuq+mCJEe4JsQs7bsPGsco65LB3RLc340OX5ZjyPWQQDG3Jzk6ziHxezX9po/b1uolpfvJSm1gcyurD9TmykWbAjZFw2Sxx0/32rnxRPN/29d+Jr5yw86Avq7knD6bJjgNoOks2o8x9xcpFTTN/jnOyyPw39fSBFtj4NwmOrcjhuZEyv8PxYxyB2A+aTUMo4cDiq1dRfcPA9+ib3kWrSQykjBrnCk9m3vxK2Ikz6fHy9fERt4OjYNs2RSL7J1QH3w6PdkWScypjpPKHNH6GSpflim/l7UYcxVCmTp80Fx9konOLceRE7eyotAwLDp9lxN9k4kGizbFRTto3CgSR+VvclFoujKtHH4P/9T6wZ/VXCKkMpq3jYcwAfudemkTkDGinChKRTpxp/R9OYrx3mojT3qpLfz7nGM21y/JNEv0+YizcBM3RNwcsGcJljo2+s5z+0l9LEUFSCs36V85KLWSRoS196O9A02XSMk2aZw1FYFP1JWcnDbOLZtOdG4MR07cyoC/WEmsNISIFNeZFIkUw3BtPi/zMsr1w4Svrz4djyTA2nd+jizVId9VGUIvn6d2+eqWxJ7aMov9Ij3lgeNEVoLe90WbYnbfr/vbXVY3W5ZzG1ZKKNOWUTEhbkOC0oz7wCe4NnE1/Zf0YidoCnXSfQDAqmcitER5UmTibSJQeqazjnuR7fQpxH2EWpukRRyidt5oSCyVXE9ZzCn92qrU0GDi6WNMp0VWvPurDVQdt7yqKPQpjIzGUOu7b1zo+mIU43y1gfmkg7POl40cw89NncBWpYbF3W2c6rXR7Hf35gJzYOZJELjhwHeuauh/+d03D7RnQn0ObcbjMAO82pJVHhlCC51Yex+B08qQ92jPFhFKrXwe1iOJW7NEG0MItZ9vBmWtdxpHFVJgU1lluC9N/0kgrspnJPKNcRFXSfeQe4V2ohVxbj0TYd74XWukDyAvR+NIhwEnXKPMA17GtcaEcxsS5OcmCQF9J3D9DukpuB5G7uyazoiwKYiNhDZRfTovSbDo78G4jrvjOuZYRIQ8y4EgOVNqY2jShrhIrseR9/sIlsYV+37Lx1qEG1G/Pu9CjAA9BdGciQY4I42DkaoCaSyi5yVR5jrFWROhB2A+6WCXcWXUrvdebaEdxdjtd3HGGZKkVV0eYuN7h0TgpP5OfpdEjDvnFuGwiJiO8encjDG/AeAnALxkrb3TXWvCc0SBMeYTAD6EzOf/o9baP3bXfwjAbwI4BuARAB+zNmw9OVLOrYjb4spsTtw0Fwfp0V1UL7BfBB1lR6U2tp34Q2X49CrUVl6fT1EtCZYmLvM+c84pROx8dYTGjtdLiz0nSsJ5WvaTqwNk3bxcGS0ix4SPG/+bdeNPVvCnmWhLbaK083zstPZqBFyOg8ahynHyjWUZP8XrAWPk3H4TwK8C+Cy79nEoRxQYY94E4CcBvBnAawH8mTHmdmttH8CvIUt6+5fIiNsDwL6ozAEcWWypj5Dkk0MsJt9kI2hmcWDQqxzQLZS0sMokdZTtBLKdftFxBFqbqB10zRcIXyQea5CbALWnqM2SQ5Pcr4/gcsJG/1O0wxIbY048isRZanOI0M6ZTC9HxAxAfhjQuTQBWExt0Xuk+bAYxbkOkHOP3Kqs6TdDRi3Zbo0rLkPghtlky27qZTFOPzdr7deMMa8Xl31HFLwLwBestbsAvmuMWQNwnzHmewBOWGu/DgDGmM8CeDeuR+IGlH95tHAoLIs/G/Jl48p0jQDI1DcysLtsO+n5c2myT3TR2limzDKQhEAS7yJs2j31gKbv8nGemgi9j2g6i6QU+/izGiGXXKjs78lKLcu+7MqdTzo4x4ga5/6kbkwSgEV35sZMvwsojtw+AiTHqmzEyDAYlrDR53gJXOk2zBtjHmf/P+Syb4fgO6Lgdcg4M8IFd63nvsvrQRwp58b/558A9nEDHFKXRL5aYOloOOcgYyiXoxjTwimVFiLf9TWC51MmSw6TlzEMRhGNqc2aPsdXlqa/ytuaJmiZ/Wm2uV8c/c/r4H0nI8sy20S4/izUVynaUX3n+93cX41SB500EVouzRPn2ogI+azFZ/pdLNkUT7p0T3IOck6Wj5k0FmljLDdZDT5iNIpaZPz6uaGspRvWWi0d2ijQMjbZwPUgrkvOzbcb+V6k3O3JrQDY4xZkWVuOC5hPOph1O75G4EL18PZqyvRQ30LQFqNWTtNEA5ztGvwuB7xszSePUvgQpLKc6/LypAOCk5ZuMCuVGqacwWMByGM6OTjxA/YbJTjXTSFM97sT0SgAvclyovFDnvkfn1MyfMrneqKN3ZJoL0eZjSR036hEapwcG+EaW0t9RxRcAHAru+8WAM+767co14O47l1BgP07oRSDaAKvVGqYMxHudkkBG2mCc06c5TF8TRPhRZeWe90tlPuvtvCk841qmXK74bWYVL7yQ+3hhMcnXvtAxFBGHdB1LYklF+01UZLumY5ibDlFP3/et0Fxjo2rEaR4u5MmmDVZrGjPRPiPjDhpRgfeV43blLpRjauSrjxlOWR6tijUbfzc1+g4hNjSL0M/ouDLAB42xnwamUFhGcBj1tq+MeayMeaHAawC+ACAXymq5EjyuUmUsdIB+0UFbixYqdRwS/1GbFVqWHXEbXF3GydZNlQgM1RMRzG+PnUC69UGnjrWRM9E+MDmd3DX1Va+q4fEZikuaYrwUFD6sP3W7tW4O5/Lh883i3NLZ9MED8Z1LMR1nLRZzjPaGHgdlKWWuCSN06JTnzbieq7Xmul3Bw5i0RTxUjwmtQSFVMGJnqeZ5bNpon2WUdroOCGW2WU0Qkebg89dQ84DXp68b9SNb5Rn5bwcB8boCvLbyIwH88aYCwB+ARlR23dEgbX2aWPMF5Gdz5IA+FlnKQWAn8GeK8hpFBgTgJcJ58ZR5EBZtSlm+t08I+8O49o0bMR1tE0lF1Olfs4Hjdg0TZRnkRjG8lqm/DKGDc0yR+AETvrd0bObNh3gsjhkZII0DtAnb0MjTfI8ao00wUW7l4hyU3EN0eoDMBArSm3g332EUvMlHGWj0fzZhjEkjOr0Wxb0DsfJ/Y3RWvpTnp/UIwqstZ8E8Enl+uMA7hym7kMlbhUAMyVFPr7gJEsvOaWc29rdzn5zL/rfCWdOIONSdtIEx9LsSMDz1ePYiOt4IT6GLZZemkM715I7cdIJROQBT06kw+6oPkW0psTXnqEx8ynRJaciA7fnTISVAp3YKhtTKUaeiuv5uGzaFN/p7qBp9jIj06lmO+n+MwMkN0Tto/Mk5Hv3ESvi/h5wwfbn0v2+c3xcNTG+yKm6CFKs1t5Fkf5YokiPOl7DwiT86tBABI5PcJ9Sn76TvkgenUaTYKbfxWZcRxUWDcf59jwTS0LbiYmwtaMYM9bvx1cWnFDxdg/jK1UETVzl5xP4CFBIcd5k7eOKe0LPZLo4XypxXzt5OwiSsJMTddNEhe+Sj2fZsLUyxInDZ1293jHJ5zZGaByL5FyksjoUzEyQXADdezrp4CPtDSy6k5e2KjXc1r2cly8nLuccBv7cPXQUYdvpmXg5miOoRqA44ZAcitTthRaJxilo4iMfE97WR5KO6qQquWXaQLiuTI4d6bmoTYtRjPPuPNo3m8zgc8adRKVB+g2eZbo2OW6EZXYqFJD5szXtns+ddE2RaaC0MmW/ikRAGg8itpyASu6ZP6OJ3uPUow2DCXE7BGhB3sDgwtV0ar6dle5/uNfGSprgzqutLKtFgVe/tApqujkenD1non25+X0o4ohCKCJ4RdyRxg35FhYfU82Ioi1E4o7oNx7c7uOufOVIw4GPCPkIAvd9y7l8D1HxYVhdrO8av349cnQT4nYNIReMjCjQiFqROMGtcLRQP9K5NLDQ1u2e0lsSHap3zkT5KUTECTTSJDdmNBynR1ZF2TZfyE7RLq3ppeg5zjlR6qC8rR4iT1hy1mbtHk1hL+vlZ4NWbYpmd2d/mBnbUF60Kb6pjG1Rv/n/GhFbqdTwtqkTWRSDyVxFKr32voSkfP5oBJLXURaa3g7C6s6PA9T65ds8tP9HaWN5TMTSkVGkr+BikxRP+Q4eWhhF+pE154X/q07pzc+q1JTcHFJUa7mJTNiBn1BR+T7jQRFChEYSOR80xboM3+J6Sx+aJnPVoHMpXqzUMuKmcINAZsyR5XFn6xB8BI63eaVSy9UCQLbhbNn9sbBUHy9T6t5C+r0yoPFbjmLVIDLq++e4liLrhLiNiNCLlVYmqX8KcRIatJ1YirScqGnla0p3Om2IH7G2HMU46TigdzhRlwLyNX8wbjQgQpGXb/WoAHI14Tv8HCPO/Eg7rhfTxoTGlDJ7aIuvTORFFNex5fSNVZti0ex3vg1tRLS5yPpojDS3Gj436HMtTXC708uRE/dXxYnuvFwJaq+MYQ49U4QyTtXj4sCaJsLWGIjSFWvx2MRaejCUIWw800XLlvNVkqy9plj3KdtD3znBkQp1ctdYcCLuRlxHI02w4habj9BQHVw05OIv/a6FTAEYIIxE2GbNnsKfrMWhDUG6W2g6qBDB36rUsFWpYTOu41ia5CI+tScft0BoFbnSwOXEk7oxaoPk5vk4bNoUG702miZLSHmOxY1qc0KKt7Isyclz+OZYEcfuu34QvdtBn5cwgNff8eWEIxNL5f+SqMlFVaT/oXvk/766fG3RoB3gzNvVNHvGg6aJ8gNGqjb1inwELSPHKCBuj3MxnDBo7itcJ0Yiv4+Y+Z5t2RTzSQdVm+Y51XaYlZTX3xJt4MT3TL+bWxdXKjWcrNSyHHnswBjN35Ffk6nL5Wbos1TS/fI9ackqfQQvRNSoj9o5rON49+MkbABgYCfEbRzgk5S4F03ZSxOsjAKaQ+MUQgRF24kp1lKKK1JvQ21cjmK8x+wZQqgMcj3I41wF5yfboenG5Hdqr09Jze/RxsU3nj5Fu7xntd/Fcq+NpX4XdzijytOCGHHOiBtr6I82hrNpgvdWG9iq1HCu2sD52jQWd7exws5c4ISFc4b0fnyRIdIVQ5sDpBY4xcRT6qMvokJulD4usWzEyri5sFEw4dzGAE1pqx10AhxtBtPQZNPEuJZNcb7fVSdqiEA3FYLCRScfZzXs7j+uxSNFznvFYcfaO/OpCvi95Ay97cRdSoggDzAmXzIeDSLL8oU+aW1bS5OBhJvDhk0VbRDyemjTOUoYO+HcRqpMY+f5opXuHXyCjaLglTur9E8LEYaQjs8n5m06LoP0RrQwuUik6ZFk/6ht2iLTFrI0EvjGjT8zzEIKKb0p3ZLMvLKWJli1g9El5KYi20NGmp6JsFWp4YVqA+ecW0cjTXB7r42m018Sx3Z3XM+IH0bbBOW9q86heKVSw7Rz2/BFL4TE0DLXisoqejfjEGd9mHBu1whliE5ZjFqGNCKE2uRbTJwz0b7LMnwGgzIg5bd8Zhj9ZBnwZ5ZcJIBWL4DciVnTL/FnpC4NQJ7KqB3F6Lk8heQYzS3DG464LToumTYCrd9FRhVuQGjZFLOed+XTtV0PHNe4EMHi2MRaenAU7Woh0UATa+X/kvsZxmO/qHwtwLopuDRN/JJckLQO+4woUldF9c2ZLGh9pVLL42mlQWFYJXbRop0zEe5zIiOdSXom4BO3aTM3FiJQD8Z1bNr9J1vtpAnmHYe2Hh/DfNzJHaSJqPUa8/hOpYbnatNomwoA4AFWds4JirZrmVI4SPH/Gef7SNAIsAbfWIXmUVndb6guvmlcGQORnXBuY0ZI7OEEQ14v0oeNCq7vOsiu7IuioLI1txfJZZQxojSNzkWFxCRpmR4WREzIStr0+MTxdzvAvTFCzRfzoiNmQLbI6I8s0V+tNvBCtZGlq4pibO1uDfTHF2gv26Rxc0SEfW0epw74WoqWB8GrSudmjPlvAfwjZHnLnwLwDwE04Dl70Ac6t1R7qWW5Cam895WhWUXLioR0bxmjhk8kkzow2Qf+O/monXLe9Z/p7uwjQEV+bmTVW2U6v7J6G94WnhWk7LM9UQ4/pIXQcpxXw+nRXoxiNNIEp3a3B9pLn29pbyC2KRZ3t3Ghcwltkx0Q88zUCXz6Nf8ZnjrWxHzSwUy/izs6lwYyLs+ZCCsuw7L0kyTkHLQdNNKQ1V6mtOI+hOfSBKeTDjZtiscCgf9FY1cEH4fnW0MtO54T5181nJsx5nUAPgrgTdbaqy5T5k8CeBOUsweHbUBZ7ks6VhaVSZ8aez+sXs83ebXsGWUgiTAtnPzQmoI2cmKnWR99uj1tUWh9CHHRZeCrv2kivOj817YqNcz0u1jotfed8A4Adycd3HW1hfmkg9POB27ecWurjR/ADx3/AfyfnUtY6LXRZmnRiSPjY1q1g5sTV3nwzCDUxjzKI907PIifvHWy38VSmgyE3I3C/YZEz2slkZTBq4a4sfuOGWN6yDi25wF8AvrZg8FCNG4B8PtnjbLQNOsicRKSyJEYs+xxAWix3yQHx7k+8oWjMjTxiyA5mtV+NwtAV5S4xEm13KIjXRU/7allszROTTN4eLWENuZSJCyrMCdr8GavjQftoKX7rCAWhFkT4YL7n/RoPSdq8vqbJsJOmmCh1871eHMmMyBsV2rZqfK72/iRnRdwR+cS3ti5hJcYceN6zS0X9dFMkwFx9b2OUM70u/iKS0VPXF/+vt3841bg+TQ7l4O4TU2HWga+dyThex+yLPptHDq3CNabJeflhELiZq39G2PMLyHLdX4VwJ9Ya//EGOM7e3AAxpgPIzspOq/MJyoWcVTDcm9SNCzzjMyHprVFy+oxzCSUxg3iHLhI2DRRTsDo2WV3ngCAXAwjsUjTyxUtuoPoEokoz7l2FnGYwJ7/GtejUUYWGsNZ9//5fjc/K4HeOVlHZ9Ienu218d4r38ddnYtY6LXxH9LBMxIIbRF1QO1Zd64mCy5TidSx0aZH5Z1lXNyqEq/K+6yNlSZWlpVAQteHlULK4FWjczPGzCI7CfoNAC4B+F1jzPvLVuAOaH0IAI6byPrExNBCLJpE0nIo04IX7ZI+S1jTRHkanapN8bXuTk6IaLKX0cP5OFAZ1iUzCRM4pygPIeYKdJ8OchSjQWgx+rhuyZXLwPmdNMHJ7g6AQUMBAEy7kLUtR9wWGRdGG855V94dnUtY6F7BPVc3cefVFuouxRJtBk2bJd1cjmKccvWfdmFcJHLenib5wTWcC+Z9I10bJ2TcGq1tmL5xPqioT+CJEahczlk+rx7xORxeTWLp3wPwXWvt9wHAGPP7AP42/GcPelE3ZsCJU+M2CPQCebiMD1K5Ls8sDT0nfbV4Foc5E+H+agN/On0zjqUJ7rcpllnqco2D459UhuQ2uZGAi5Y8hEoSMCDj7HjKIM4JluECQgvP1375rLxHGwMZ8M851CVmLAGQ67LoDFL6JOsrACDKDtG+6vze7mpvAgDevvMCLnQu4XfcocxULhkWHjNRzv3lBg53pi0RthlnhJH9mHVtmTcR0GvnBgSqR87hMoRLu3eYTYfmDZ+vnCDPmWgs7g+vJuJ2HsAPG2MayMTS+wE8DuAK9LMHvUisLcXK85fns2TKhcOJlBYILkEEkGI/OaHlB/vSggMyEWexYAfWfpPEx8dh+cA5J+lawrkkTSwLtVHjOiSXWVb0CoFcRoA9ETznyNIkP/KPiBpFJfC6qzbFXNLBsTTBTNrLE4N+VegYQ5sg/+2izQL+zwuxHtjjoBddm8at3Ofl+TadIt0n/xwXV0h41QTOW2tXjTFfAvAEMm+Ov0ImZk5DOXuwCL6YSKnz4JlhQwuWcwmSA+McEEfTia5NkzmTAsAjYvcnB9UtlwCxatM8EaLPH83XLv4p+yL1dRrha9lB3Q9xpxqXKuMsednDLAAfVy03FfmbVseS47zOi5OzWmwjutfde9Gm2LIpnrSD58ee6XdxT3tjIDX5H+xu7ztlTI6zHAvatE4nHbR67dydQ/Z91UT7YlplX0NEryxHp4n4oWdCx1SOK/761cS5wVr7C8gOU+XYhefsQR/otYR2KpqAMheYj1BpZRTB5/5A7dpkdd3urHZVm+bnbxaFXPF6JAeqER6ytJY1lkg0A8RmWIQWlyZuh9q0HMV5+qee2e+Ww/t5Lk0GCLnmlrLjFvasZyzpT9NXahZ0n9pC4460TVkbA07UJIEL1TUKJIfdNNFY/Nwi+yqxlo4TfQyKpdqOS2E9H6lN52LKRZvmCmEgvHvxsvmklHo5Au38a4JorTlHzZZNccrpbdbSBP+RiQEtu+flLsVj+j6gAE6Tgcy9Ms0T6XXy8SAFuULwNEJKnzJvGkEuMh8h9W0+nPMpI/rOVxs457heAJgH0HRcknyXq8bvqMy5VmDQUCEXN20UXDcp9aqSsMn+cK5PI/RcsjgrdHCablVrawhlxExtg2jZFLuwwefK4FXFuY0LoQgFAv120aaYdt9n2cKi3F8+3QpX4Gu/SRGQc2sScpGEdGWbohzJTRHR4Tot6tN0FGPWpjgV1/M6fcYKH8YlkhRBiv6+ewAMiPSkI+MoUjfIucLflZaPjSDH3fcbL7MMQkSLc3GyXUVc7ihtuZYYt87NGPM9AJcB9AEk1tq3GmOa8EQ4GWM+AeBD7v6PWmv/eJR6jzTlkTY5aSf8THcnzwDB7/c9z/VQS+5ay2YpiLT0P1IE9YEvQFkfBXKv9rsDYTibNs1PPiIH3XsrNdwd1/Fk0snPBiXd3/naNLYqNTzrXE5++vLz2Oi1AWDAe57q5ZzFaXGW5zCZQMoosiUh5vARGBqb/9/0Ap44/gM4uXsZ80kHPRNhJenkIWK8fu6+w8eccrbx9tInjT9ZkSkQP0Q0iUv39Z+3hZcv3W3k+adSJNaIsia1XI+4Rpzb37HWbrD/Pw4lwskY8yZkEVBvBvBaAH9mjLndWndy+hC4bgLnOUjJS4u/TEYGYL+jpiRGckJp1kUfNzYnyqI/Ot2I6tU4g02b5nnKlpyvFWE6ivFdx+E8U78RVZvizqstnEwTLDsiwNslRRspXvn6KlF2cWnEK8TBAtk4zJoIW/EU1qsNNPo9VGHRjuIBfZkvrpfXs2lTrHg4n6bjeps2O21+k41XmZjhUJ9JpZAT3QBBJK5ccprDiP3DYhTdbFkckhPvu6BHOL0LwBestbsAvmuMWQNwH4CvD1vBoRK3CoxX7yC982k3JL0UhTCRmwaH1NnxCeYLnfKB69OKwBdSkdh4vjaNjbiOkybCe5yX/kWbYr3awF815nGudgP+4MbXowqLu6620EgTLCcdrLIx4fouH0fJxyTEvWgIcdU+Lk3bHEiUf2PnEtpRjJPdHdzca+NkdwdnmNOs1iaNO3vD1Am8AcADSQcX7aB+lBYhESMf8QoZG+h5IOPaHozruLdSwxONeXy92sBtu9t4R3cH60kHn3FOyKuKCwl/N7Jf3KAU0r0NYwTS7j2ClEfzxpjH2f8POcd9DgvgT4wxFsCvu999EU6vA/CX7NkL7trQOHSxVAOf0FwnBWQvcJa9xCI/pqa4V54ortWrXdfEM15/bqxQFMka2lGMTXciFgDM9LuYTRNcqNRwrnYDnqnfiFumX4N+v4f1agO3OZGIypZK8WsJOYbymoZNQTTOpgnuSDpY3N3Gzb12nsHjm1Z3zfEt+jkTYd3liwOymFQtHXuZPhXNBxrfe50L0LfrN+J8bRpAtthPsvnp4/iLRM/QPBn13fLnxhGhMGRs6Ya19q0F97zdWvu8I2B/aox5JnCv1oGRrCSHblAAwroOyWm1HAHROK+WE0dWnE9atX5j7nBbtSne17mU77QcXPFbxKmFCNbA+aVM7yLratoUb+vu5MHiVZvmx+FtVWqowmIhuYonti+gkSa4tbuDmX4XbQzqEoFBRXvTRDlxlVxIiJvU9EHyujYO8rmQS0zLZgaEuaSTu9A0nG5M6hFbgmhQIgPyRYQbt5l+F1Wb7vNtk8kCfITGx9Vx/edKpYZzUyewXm1g9fhNODd1AgAQu/e2woLstXKH0XkexkY1Csatc7PWPu8+XzLG/HtkYqYvwukCgFvZ47cgS9QxNI5c58YXDY8LpYnAHTn5dSCbSEvIRJeFuI4/P9bMiIWbiO9MOlh27hy0AKROzVe2j5No2RQQym9NDOaT/GyaYKPXxmK/i3YUD/xtu/bOJx38mCNuJx1xu+AWuVTmE8HjbiJlPPND4lAInPBwS6m2WOmdABl3Op/sZdLdUQL9pf8f33io7x1HGHeY2wURyCWn85QblvyuiY9UP20UK5UaHojr+JOpE3iuNo3V4zfhmfqNA6FaK5XagDGEqyaOykjA6+2PwxVkjDo3Y8xxAJG19rL7/mMA/kcAX4Ye4fRlAA8bYz6NzKCwDOCxUeo+VOJGsaVl9V/cSqeZ2fnCOGnTfHflAdmyntAElIRuFG5Ocxqlci/aFNOubcT239rdyQ8ypusnnX6HFgxxMdOOIDbSBHB50LTFq7VJa49GFH33luk77/em47QolKqRJviKcAUp4lxajktb6e5gg3FsPHmB791KA4wP3DgEZM7Ei7vbmOl38eNb53FH5xLuaW/kG850FOfEu6xz+UFQlrujcX8pHdqouA9j5txeA+DfG2OAjN48bK191BhzBkqEk7X2aZcz8pvIhL2fHcVSSpUdGqYgMmEocj3fdcsEyxO3IIkaEbpx7qZFxE7TkXHLKICcgPGIB8onRovkYaW8KK5jvVLD+do05pMOHrDZmQWSI+UciXRfkAtFc7Eoq2OT/dfufzLpoOk4UHLT0DYpyUkR0aAA+F9xqgWZSECG3vG+UN+0aBQO4th4X9DewLyJ8E92twf89BpuE5qq1PDmSg2NdP9ZFUWbQVmDgjaevL+SkNP93zD+cyzKYpx+btbaZwH8oHJ9E54IJ2vtJwF88qB1H4lYynVInPvQXignDsRVLAlRrWWzVEALvXaul6naFLtMBBpmh/XpRoq4Pl+Ij8Qs9k54IlFL6nEk+GST4Uw+nSFvT5FBQhpxpHjNRbFhuBTNglgE6ZcoiTTBRyipDCJc3Ch1xs0Jfvwir4vX8V4nUlM8q5QILtryYVla+yXKGIzKcqQHQQRMwq+GBfGWp+I6Fp3xQIavcDRNlKfEgXNWnXPGA5oI5MB5OumgeTnTO9Ikotxb/FoIwyh85YKSC5Lne5szEeB0ZMB+boIrxDVr29k0wYK7RoSNMthqMavUJm4w4RwKES6qlxYj5zbvdkkCnnRhb3xzKBKFub5sVoxLGfDNhOvX+HWNKNGmt+wMA4tRjHNTJ/DdSg1n4jquRjHuvNrC3d0dLPe7eSgYjZM0TFB2YzJYae+FvnN1CxBOrBoah6KICq6qIWMK33jGcobCqyVZ5bXCxQB3xIkFKd4XACymCS4K0YSwqSy8MvqoMihjdZTQ2qhN3LJEl0RYUmyTn1zZNtIiXYxirFcb6JkIt/e7aKQJzrNNYM5krhDnatOo2hT3so2iDIi40LkDW1GMJc/mJdunEa0yIMIsuU+eH+4qC+DnmX+pz775QjrPUDyzJnkUGXm050i3qnG6Wlm0TrjFfhyYxJaOgIr7DC0UaXk8N3UCG3Edibt+2+42Tjq3CtI5EZGQLgbDZBDxcT7cS50sfb4Ab6084mAecMfQNdIkz6arlUHcKLW/ZfeSBsx1d7DUuYS+idDCoPGCu9BIHdCcyc413bjhtfjragO/O3sb1qsN3NG5hPmkg3vaG7jTOQ430gRPTJ3AH974ejTSBA9unccbeu2BaAnZZt7XpSjGe6sNbFVqeMY5Lt91tYVl12etjLKEzaevkuPfNFFufCFR8oQzbpA6YDqK85Pq5fmu+8TgpJPPgSJdsOwXANzn+sffKweN20qlhlNxPZdEfAYSUs1olvnxJKuccG4jY5gdpu0ysG5FVbQrVZxgnIucJOO2WHExTS6+sroRAnEMRc9QPXyMaPGtYVDvqE1+jWNsOhH2XKWWnx1wrnYDAGCh18ZCr42bnb4SQH46VQ8m53zKWh3nHLdEf6F+cwLg0xvK+8tck+VwYxNftLMl6gQGY4UJ3PBR1OY5QRDJCZlnEiFud7Yk8QSuXXzqhHMbAbtwfkGeQGhNWUoB108da+J89XgWYF67AW+5ugkwK6MmUpRRvob0Rvw8UV+Kb36/FHX49ScDAe68/9zYwh1efUSLOI2m+51C1WQ7OBdDoEON7+hcymNf6b4Ht86jkSa462oLu0xs9Y0VcY8rTkfaM1FOOBd6bfye43p9VkBOnPdtUmK+yL7xcaTx+kqvnYnGNh0gsMSdknrjrHuv9KzPECCttJwYh7h52ojmTIT3VRtZzK3T32302lh1MdSEM2ycfPo6aXzi93TsJOUR4XAjFFyacc6dhJT4mzbFa9xkbJsKNuI6GraPnolwW/fySDq1MkkW6T76f9bsWWiL6pKuFPTJd2lpfJB6Rq7wHwVc4czbAADVtJ/9uUD2HgzappITACKAi7vbaKQJ1l0WjzJjTAuSCAlx2Gf6++Mw5VgUqQm0e+ia1JFxArDIrJ0Acl0lv48U8ptibvra49P5+tpKBC6K69gwUZ7ReVGIw1QON/KECJw2jyfJKvdwyJybHWDx+eKdM4Pe5GvIFvdy5xJWujuo2hQvVBs45nzE7uhcwpOKfkSbDHKhN63fOss/4drwKNN/+LhAmvBcT9eye46nXGm8GMV5ADjleCOui0P6yBFn1DSZ31vVpmjtbuf1k8VwOcoOMF6vNtBIE0z32ugBe86p28/hfOdiLjo2bB+bcX2AKC302mikCf4j0w8WiaY0Xvc7Q8Vuv4t1uz/7B9cbrVRquX6sZyJsdXdyKyUfU/mepH5Ocr/cusmNL5zwcYJGv/E65OYr51iZ8dhkc+3uNBkQ1bcqNSyYzMmZQgx91lLeRp9rDDCmCIWJzm14ULJK3+7IQQviF3e3sRTFeH+a4C4m8mz02oUWOCrfx8Vo93Jugq7xvP90D28/Tbgl7BkQKAGlzK676PRZs4pRRYo7tFD59wUnSr7ogvCXnWhDi5Q4zI24jm/Xb8x1aVWb5n6AG87j/nxtGltRFY1+L9OxmQhtUxnQT/HFJN+Z5ILpt500O/TlaeHgSuPKFeL9amOAm7lLiO/ynUmulL8Drhqgg54vCkLAXY848RpGX8vnr0/MlvdxR3MAOXHLT/piz8wZfW2EiDFhLK4gmIilB4LP2qXtSnSAxzIjCNzHKCRC5GUqCmEN0tl1gNhp1xgBpXb5lNwtm4loSzbFOdF/IhTc6Zhze7xNFETeSBO8yMaPt2mm382zcZCIwcO7ZlycK2KgYfsDURNzLB6U6iZ9FOn0qN1L2FvEPPfeRbEQabMiwkbW43W3wKm+c+ngeaAaYZPRB3KTo3HO373yHvi742VJyM1GvtuQ5XxgM3ASwHIU46TboLnY7rPYcp1rGR/DcWBC3MYEKV7w7y2b5gRFvnyaaNIL35cnDECebULWy5FnomBlahxL01MX/+Oge1fdCVB8oXA3Ds5VrFRqeXvyg1aAPNCednx+rB+Vs+gMMUQ0uH/gye5OnoKJFhkRNXKzIYLIc+lxcMNHi7VDvk+5WZFVkIwXxL2Qju9ripsMva859s5p/MhJmAgwFzc5NONDWfD3JEPWtHt9esCzaYLTAE4Jx3JyxPWJ2kVW2bIicllMnHhHwHGWrBLYb+nRIF+cttuGRFyfotonnnIuCthzDtbapT3PDQeh++keKd7KtuTXxeRft+GIgXNpgsVeGxdtijPCv2rZjekbO5cwx8RAInJ8Yk9Vajhp0wE94aYjvJETJSlEaSOu4zL2XC9WbKoSmpZNMe++89CmXWa4kOImF9dCiRA0lQdtRD4xmiD1gnz8WzbNj3ts2b2zNXxculY+3a+lfPI9J0PMpN7P14aDYMK5jYDjxuRuFSS+aQpbiTK7bFkCp8UC0nepz/E5B9N9GnFeY2IV15nt60u0l12iKRYtuVVwQsvFcI2gSS7wc85NRsNp97nszmk4FdexwE6pAjCg9OauFG9IOri738Uz9Rvx18eaAwHlpDebd4cn/0iaoMmC5Wm8Ntkz3IjxMDtfQY4Z55TpXAz+znye+lw35oszpt95mU0T4f3VBhajGGcct30qrmO+2sj9AVs23WcEIsurb+Pm84kTrJCRANhvXPKJ7X/d76nPD4Mhk1VetzjkTLwGcyY7wapoFx0God1TQyiUxcclhurlhEb2SXKeUj9Wps0k0si6tGfKKsZ5mUvOZUIDhTBtOBF2gOjBoO0cg7cqNTzliN09V76P+aSDrUrN69ZCRJEIxbk02UcQpJWVj6Uc56aJVNWF1m8JjYsn4816pTYQPsZ95ID9rj+SMPMyidBKrjTUHs21qMXGRb7v8UQoTDi3oTFlhhdLQyAdmuRauHVTc7AE9k9o6fVPmSO050hvpPl/+YgNTe6BQ0cEeH2cg/BxG77+kHsJd4cA4CWQxC3xkJ6m2Qth2ojr+PMbXov1+BjuubqZ6+yA7GyIr04v4KnGHH7sNf8ZdtMEv/vcf8DKlZdwW/cy7ul3scSC1KnOM/0ummmCW9z1z7MAfdlH6SYkCYk2h+S4c/h0cvwdrThi/VxtGvddeQkrjsB9jp1KthRlp5pxDrSpzD0ytvDzaeksEK5a4JyozHyjiaU0B7lzuY+4DoOJzm0E9MfgPV0GIRGVIEUXeW1YaAuGkFsZzZ4LBBczed08CJz/JvVrWv1cBOOiLenLmo4Y+4hcU9Q5zcrvwaAXDTr7Ntz19dpx/O3jN2Fh4R6kaYLt7QtYBbBy5SWc7O5gwaaYS/cfj8f1YGWTCGj95uNeNnSJgxN0n/6KbzC8nXS+blV5lwTOrc+ZCKcD7eQhf3yDojJ5/r5Qew+CPvYntng54lCJ24s2Vc80KAOfaCfZfP7/pvjkkOIOWTA1EVOGUhGBKCsCcisfKeKb7iQlroPhRKdIPPYRZxqTU3EdjakTODd1Al+avhkz/S7e0t7A6/tdnLraynd8zv1wrmDW7FlmG2mCxW529ujJ7g5udU7VVZvi3NQJvP5YE3/rb70DP/3TH0AU1fHII7+PCxeexf/7qYfx8ReexDsvPw+IdO9afzin5gvV4n3XNhTfO5HuPHQvBavzNlAbP3LlJdzRuYTvdHfwSNLZd9bqWprk5+tSW+VJ98SxURqpqtvoNE6Uc46n4jqiuI6njjXzULZGmqDZuZQH1VNKLz4O4wi/SsjZ/mWOQ49QkCZvDaHfpc5KE3M1fUwRQgumDIoWFbV11kTYMBEqGFxMvvaE2sr/1/RGF+I6Xqg28nMAFnrtvTxwSuiPBiJu80kH1ag/cOBL1aaourTWU1MncPPN70Mcz+DGG09je/t+nJyayfVxvC5JSLU2FKkSRuHyNFUEcUf8PRAnSaIzP0Sab3i0MbWUORgC58x5/znHPR3F2IiyMzbIpadnItwixkuK8eOIUMhjwF/mONIT56H8L69rE0U62hKkKOdj2+Xzksj4iIfk7GSZPm6Dc3sP99poCqvgsGIxFz8liFPo1Kbx7fqNeOpYE08da2Kh18bKlZcwFyiTj8lFm2IWWcgW2CelbLrBEeq3X3kR5178T/hWpYbf/u0fQ7X6fXznOzdhe/txbLW/n7uXfI8RNRLPiZPl/SCfL9J5cq7mQcdhEbfC05Zz8PfrS9BJaoKP1qZxoTGPRprg/u5Olhm5197ngiHB1Qc+PSuAPKxq1eyd5+pL+UWEkqzjy0kHP+r8FclN5jO99gDhOajeWgPFgL/ccaROvL5FHeK0pOJX6mrK6m4k4QtNEk2E8LVN6n9kHdLYMSp8RJTGZctZMTfiepZwIOAi4OvTOeYUK9tLSveT3R38ncvPY+vF/4S/+qvbUa02cPnyk+j1ruDk7uV9mUgIJLLdzaywANBMOpgz0YBuiepbivZOrN9kYwmELY8yqmGNtWHKjVN+whUbD/kpIY1VPuu/jDaQ7eNcHH0nkZP6mKe9Ej6LcrMdB7+VoLzV/XrGkcSWSlZcwidmyXvkDlj2hWiWxJDlTdbLffS0hc/bIzlE/kncBA+yl23gC4jnBQtxe2fTBO/u7uDtOy/kLhnzSQe3dnew0GtjJ01UzkRrgxR7eL1n0wQP9Np4S3sDjTTBZ77zR9iI69nximkfP9a7kruScD80Xi93L+mZCDOVGu5ldfC6ZRJPbk2k8aHx5H6C/F3xZwFg3SXrbKQJnnbxyvm8cgH8mlXc54qhcf3UX02HS58agWvZNCfEUo8spZRxIsGEcxsZ2ov03RP6TU4WDcRNSYKphQ8VvVBpySwjEmiEjbsIEKFdY+JYkc5RI5i8PWfTBF/r7uABpxtbj49hJu1hwcWaficdzEAxMJ7MuKFx1APXnJi9kiZ4W+cS7rvyEjbiOv70xC0Zt+jK6jnOSRJ7qp8TN3Ix4b5lpAOTagMSb6X+im9efJw0rn613wWutnLCPirRKLMpchRF15Q9++NaEKH+NSr3sHEkB8QQisS8Igxj9pccyiNO/AEG09KUBSdsIb0PEdGQT5wvSSKhDBEHBhdyy+6l+elFFSDt5fovme5ngFiLMnjZ8n1Ru8hn626XynurUsN6fAxb8RR6MJhPOljc3cYDyuZCKYD4UYdVm2LdprnaYQmDoDbQdTm2XAyV18lyyXWoPsKn1TmsftQHbRPTCP846hoWE7F0RMgFInfd0HOEol1Ps4ppIUCy3GH6EALnyk7F9QGDgkbgZFqgoomljaHGIdJ34ooaabLvNCu6VxJQOT5cBBwQyd01SoH+DpOFYZ2rz+CJxjzuqUzhie5lvKW9ga1KDe9gDsw9E+Gy+38+6WAnTfCkI/SkY1tClg6cpy6ivs66fs25zYOL2tNUD9PdtWzmIsPL4+4U1G+pK6Uyed/52GgIWXapPVLvS5uhfC9lpIqi9gyDXWsn1tKjRhkiA+i7kI+L0qDtpr5y6bq0robKLSpT09HIdmtccMumuKXfxcndy5jv76KhONJKfeEwIXE8DTvd3zMRGv1exoGlfUTVykD2Dw0ydxzVSwSqh+ys13NuwRFRa7PxkESCGzE410nPzgL7ElgC+w1WPhSJr0WqDtIhSm57mKMoed/o+9YYCNxE5zYCKgBmPDviOKAFF/usSsNCimOSmEjdHv3G9Ub8GR6OExKJePgOhxZczssgo0dzdxs/isyF42GnMJdptYcB3U9neb7Z+dFRMsytKM6dfZ861gQAbFVqeKHayMVNQiPNDtKmPG6nWYaSpokGCGIjTdByiv4ZlwuOiOJJ507CT38nQijnF2Ufnul30RIcLOem5kyEj9SmB+o554wNZTeAorGVp5RRQgD6f9iNcVwEaSKWHiG0uMAQrsddqCzX5ru3DKjfMo1R6N5h6mqaPSMANx5UlTTVGtfGXUD4O6JxKDotTJYxbPt94GJpmTaMAp9qwRcLfZh4pRgUjD2keE8AMMZ8H8AVABuHVunBMY+XT3tfTm0FXl7tfbm09W9Za3/gIAUYYx4F8pR7Rdiw1j5wkPquFQ6VuAGAMeZxa+1bD7XSA+Dl1N6XU1uBl1d7X05tnSDD0fK/E0wwwQTXCBPiNsEEE7wicRTE7aEjqPMgeDm19+XUVuDl1d6XU1snwBHo3CaYYIIJDgMTsXSCCSZ4RWJC3CaYYIJXJA6NuBljHjDGfNsYs2aM+fhh1VsWxphbjTFfNcZ8yxjztDHmY+560xjzp8aYs+5z9qjbSjDGVIwxf2WM+SP3//Xc1huNMV8yxjzjxvht12t7jTH/rZsDf22M+W1jTP16besEfhwKcTPGVAD8rwBOAXgTgJ8yxrzpMOoeAgmAf26t/X8A+GEAP+va+HEAX7HWLgP4ivv/esHHAHyL/X89t/WXATxqrb0DwA8ia/d1115jzOsAfBTAW621dyKLGvxJXIdtnSCMw+Lc7gOwZq191lrbBfAFAO86pLpLwVq7bq19wn2/jGzxvQ5ZO3/L3fZbAN59JA0UMMbcAuDHAfxrdvl6besJAO8A8G8AwFrbtdZewnXaXmRhiceMMTGABoDncf22dQIPDou4vQ7Ac+z/C+7adQljzOsBvAXAKoDXWGvXgYwAArjpCJvG8b8A+O8B8CDA67WttwH4PoB/68Tof22MOY7rsL3W2r8B8EsAzgNYB7Blrf0TXIdtnSCMwyJuRrl2XfqgGGOmAfwegH9mrd0+6vZoMMb8BICXrLXfOOq2lEQM4B4Av2atfQuy+OLrUqxzurR3AXgDgNcCOG6Mef/RtmqCUXBYxO0CgFvZ/7cgY/WvKxhjqsgI2+ettb/vLr9ojFlwvy8AeOmo2sfwdgD/uTHme8hE/L9rjPkcrs+2Atn7v2CtXXX/fwkZsbse2/v3AHzXWvt9a20PwO8D+Nu4Pts6QQCHRdzOAFg2xrzBGFNDpqD98iHVXQrGGINMJ/Qta+2n2U9fBvBB9/2DAP7wsNsmYa39hLX2Fmvt65GN5f/fWvt+XIdtBQBr7QsAnjPGvNFduh/AN3F9tvc8gB82xjTcnLgfmf71emzrBAEcWoSCMeZBZHqiCoDfsNZ+8lAqLgljzI8A+D8BPIU9PdbPI9O7fRHASWQT/z3W2taRNFKBMeadAP6FtfYnjDFzuE7baoy5G5nxowbgWQD/ENnmet211xjzPwD4r5BZ0P8KwD8CMI3rsK0T+DEJv5pggglekZhEKEwwwQSvSEyI2wQTTPCKxIS4TTDBBK9ITIjbBBNM8IrEhLhNMMEEr0hMiNsEE0zwisSEuE0wwQSvSPzfivY3rvn+SqwAAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "imshow(cic_paint(jnp.zeros(mesh_shape), resx).sum(axis=0),cmap='gist_stern'); colorbar()" + ] + }, + { + "cell_type": "code", + "execution_count": 75, + "id": "d7ce5401", + "metadata": {}, + "outputs": [], + "source": [ + "k, pk = power_spectrum(flowpm.cic_paint(tf.zeros([1]+mesh_shape), final_state[0]),\n", + " boxsize=array([100.,100.,100.]), \n", + " kmin=0.1,dk=2*np.pi/100.)\n", + "\n", + "k, pk_jax = power_spectrum(tf.convert_to_tensor(cic_paint(jnp.zeros(mesh_shape), resx).reshape([1,100,100,100])),\n", + " boxsize=array([100.,100.,100.]), \n", + " kmin=0.1,dk=2*np.pi/100.)" + ] + }, + { + "cell_type": "code", + "execution_count": 76, + "id": "28aafee9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 76, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "semilogx(k,(pk_jax[0] - pk[0])/pk[0])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f2b58a54", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/dev/test_script.py b/dev/test_script.py new file mode 100644 index 0000000..a9566c2 --- /dev/null +++ b/dev/test_script.py @@ -0,0 +1,63 @@ +# Start this script with: +# mpirun -np 4 python test_script.py +import os +os.environ["XLA_FLAGS"] = '--xla_force_host_platform_device_count=4' +import matplotlib.pylab as plt +import jax +import numpy as np +import jax.numpy as jnp +import jax.lax as lax +from jax.experimental.maps import mesh, xmap +from jax.experimental.pjit import PartitionSpec, pjit +import tensorflow_probability as tfp; tfp = tfp.substrates.jax +tfd = tfp.distributions + +def cic_paint(mesh, positions): + """ Paints positions onto mesh + mesh: [nx, ny, nz] + positions: [npart, 3] + """ + positions = jnp.expand_dims(positions, 1) + floor = jnp.floor(positions) + connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], + [0., 0, 1], [1., 1, 0], [1., 0, 1], + [0., 1, 1], [1., 1, 1]]]) + + neighboor_coords = floor + connection + kernel = 1. - jnp.abs(positions - neighboor_coords) + kernel = kernel[..., 0] * kernel[..., 1] * kernel[..., 2] + + dnums = jax.lax.ScatterDimensionNumbers( + update_window_dims=(), + inserted_window_dims=(0, 1, 2), + scatter_dims_to_operand_dims=(0, 1, 2)) + mesh = lax.scatter_add(mesh, + neighboor_coords.reshape([-1,8,3]).astype('int32'), + kernel.reshape([-1,8]), + dnums) + return mesh + +# And let's draw some points from some 3D distribution +dist = tfd.MultivariateNormalDiag(loc=[16.,16.,16.], scale_identity_multiplier=3.) +pos = dist.sample(1e4, seed=jax.random.PRNGKey(0)) + +f = pjit(lambda x: cic_paint(x, pos), + in_axis_resources=PartitionSpec('x', 'y', 'z'), + out_axis_resources=None) + +devices = np.array(jax.devices()).reshape((2, 2, 1)) + +# Let's import the mesh +m = jnp.zeros([32, 32, 32]) + +with mesh(devices, ('x', 'y', 'z')): + # Shard the mesh, I'm not sure this is absolutely necessary + m = pjit(lambda x: x, + in_axis_resources=None, + out_axis_resources=PartitionSpec('x', 'y', 'z'))(m) + + # Apply the sharded CiC function + res = f(m) + +plt.imshow(res.sum(axis=2)) +plt.show() \ No newline at end of file diff --git a/jaxpm/__init__.py b/jaxpm/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/jaxpm/growth.py b/jaxpm/growth.py new file mode 100644 index 0000000..0be4718 --- /dev/null +++ b/jaxpm/growth.py @@ -0,0 +1,608 @@ +import jax.numpy as np + +from jax_cosmo.scipy.interpolate import interp +from jax_cosmo.scipy.ode import odeint +from jax_cosmo.background import * + +def E(cosmo, a): + r"""Scale factor dependent factor E(a) in the Hubble + parameter. + Parameters + ---------- + a : array_like + Scale factor + Returns + ------- + E : ndarray, or float if input scalar + Square of the scaling of the Hubble constant as a function of + scale factor + Notes + ----- + The Hubble parameter at scale factor `a` is given by + :math:`H^2(a) = E^2(a) H_o^2` where :math:`E^2` is obtained through + Friedman's Equation (see :cite:`2005:Percival`) : + .. math:: + E^2(a) = \Omega_m a^{-3} + \Omega_k a^{-2} + \Omega_{de} a^{f(a)} + where :math:`f(a)` is the Dark Energy evolution parameter computed + by :py:meth:`.f_de`. + """ + return np.power(Esqr(cosmo, a), 0.5) + + +def df_de(cosmo, a, epsilon=1e-5): + r"""Derivative of the evolution parameter for the Dark Energy density + f(a) with respect to the scale factor. + Parameters + ---------- + cosmo: Cosmology + Cosmological parameters structure + a : array_like + Scale factor + epsilon: float value + Small number to make sure we are not dividing by 0 and avoid a singularity + Returns + ------- + df(a)/da : ndarray, or float if input scalar + Derivative of the evolution parameter for the Dark Energy density + with respect to the scale factor. + Notes + ----- + The expression for :math:`\frac{df(a)}{da}` is: + .. math:: + \frac{df}{da}(a) = =\frac{3w_a \left( \ln(a-\epsilon)- + \frac{a-1}{a-\epsilon}\right)}{\ln^2(a-\epsilon)} + """ + return ( + 3 + * cosmo.wa + * (np.log(a - epsilon) - (a - 1) / (a - epsilon)) + / np.power(np.log(a - epsilon), 2) + ) + + +def dEa(cosmo, a): + r"""Derivative of the scale factor dependent factor E(a) in the Hubble + parameter. + Parameters + ---------- + a : array_like + Scale factor + Returns + ------- + dE(a)/da : ndarray, or float if input scalar + Derivative of the scale factor dependent factor in the Hubble + parameter with respect to the scale factor. + Notes + ----- + The expression for :math:`\frac{dE}{da}` is: + .. math:: + \frac{dE(a)}{da}=\frac{-3a^{-4}\Omega_{0m} + -2a^{-3}\Omega_{0k} + +f'_{de}\Omega_{0de}a^{f_{de}(a)}}{2E(a)} + Notes + ----- + The Hubble parameter at scale factor `a` is given by + :math:`H^2(a) = E^2(a) H_o^2` where :math:`E^2` is obtained through + Friedman's Equation (see :cite:`2005:Percival`) : + .. math:: + E^2(a) = \Omega_m a^{-3} + \Omega_k a^{-2} + \Omega_{de} a^{f(a)} + where :math:`f(a)` is the Dark Energy evolution parameter computed + by :py:meth:`.f_de`. + """ + return ( + 0.5 + * ( + -3 * cosmo.Omega_m * np.power(a, -4) + - 2 * cosmo.Omega_k * np.power(a, -3) + + df_de(cosmo, a) * cosmo.Omega_de * np.power(a, f_de(cosmo, a)) + ) + / np.power(Esqr(cosmo, a), 0.5) + ) + + +def growth_factor(cosmo, a): + """Compute linear growth factor D(a) at a given scale factor, + normalized such that D(a=1) = 1. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + D: ndarray, or float if input scalar + Growth factor computed at requested scale factor + + Notes + ----- + The growth computation will depend on the cosmology parametrization, for + instance if the $\gamma$ parameter is defined, the growth will be computed + assuming the $f = \Omega^\gamma$ growth rate, otherwise the usual ODE for + growth will be solved. + """ + if cosmo._flags["gamma_growth"]: + return _growth_factor_gamma(cosmo, a) + else: + return _growth_factor_ODE(cosmo, a) + + +def growth_factor_second(cosmo, a): + """Compute second order growth factor D2(a) at a given scale factor, + normalized such that D(a=1) = 1. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + D2: ndarray, or float if input scalar + Growth factor computed at requested scale factor + + Notes + ----- + The growth computation will depend on the cosmology parametrization, + as for the linear growth. Currently the second order growth + factor is not implemented with $\gamma$ parameter. + """ + if cosmo._flags["gamma_growth"]: + raise NotImplementedError( + "Gamma growth rate is not implemented for second order growth!" + ) + return None + else: + return _growth_factor_second_ODE(cosmo, a) + + +def growth_rate(cosmo, a): + """Compute growth rate dD/dlna at a given scale factor. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + f: ndarray, or float if input scalar + Growth rate computed at requested scale factor + + Notes + ----- + The growth computation will depend on the cosmology parametrization, for + instance if the $\gamma$ parameter is defined, the growth will be computed + assuming the $f = \Omega^\gamma$ growth rate, otherwise the usual ODE for + growth will be solved. + + The LCDM approximation to the growth rate :math:`f_{\gamma}(a)` is given by: + + .. math:: + + f_{\gamma}(a) = \Omega_m^{\gamma} (a) + + with :math: `\gamma` in LCDM, given approximately by: + .. math:: + + \gamma = 0.55 + + see :cite:`2019:Euclid Preparation VII, eqn.32` + """ + if cosmo._flags["gamma_growth"]: + return _growth_rate_gamma(cosmo, a) + else: + return _growth_rate_ODE(cosmo, a) + + +def growth_rate_second(cosmo, a): + """Compute second order growth rate dD2/dlna at a given scale factor. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + f2: ndarray, or float if input scalar + Second order growth rate computed at requested scale factor + + Notes + ----- + The growth computation will depend on the cosmology parametrization, + as for the linear growth rate. Currently the second order growth + rate is not implemented with $\gamma$ parameter. + """ + if cosmo._flags["gamma_growth"]: + raise NotImplementedError( + "Gamma growth factor is not implemented for second order growth!" + ) + return None + else: + return _growth_rate_second_ODE(cosmo, a) + + +def _growth_factor_ODE(cosmo, a, log10_amin=-3, steps=128, eps=1e-4): + """Compute linear growth factor D(a) at a given scale factor, + normalised such that D(a=1) = 1. + + Parameters + ---------- + a: array_like + Scale factor + + amin: float + Mininum scale factor, default 1e-3 + + Returns + ------- + D: ndarray, or float if input scalar + Growth factor computed at requested scale factor + """ + # Check if growth has already been computed + if not "background.growth_factor" in cosmo._workspace.keys(): + # Compute tabulated array + atab = np.logspace(log10_amin, 0.0, steps) + + def D_derivs(y, x): + q = ( + 2.0 + - 0.5 + * ( + Omega_m_a(cosmo, x) + + (1.0 + 3.0 * w(cosmo, x)) * Omega_de_a(cosmo, x) + ) + ) / x + r = 1.5 * Omega_m_a(cosmo, x) / x / x + + g1, g2 = y[0] + f1, f2 = y[1] + dy1da = [f1, -q * f1 + r * g1] + dy2da = [f2, -q * f2 + r * g2 - r * g1 ** 2] + return np.array([[dy1da[0], dy2da[0]], [dy1da[1], dy2da[1]]]) + + y0 = np.array([[atab[0], -3.0 / 7 * atab[0] ** 2], [1.0, -6.0 / 7 * atab[0]]]) + y = odeint(D_derivs, y0, atab) + + # compute second order derivatives growth + dyda2 = D_derivs(np.transpose(y, (1, 2, 0)), atab) + dyda2 = np.transpose(dyda2, (2, 0, 1)) + + # Normalize results + y1 = y[:, 0, 0] + gtab = y1 / y1[-1] + y2 = y[:, 0, 1] + g2tab = y2 / y2[-1] + # To transform from dD/da to dlnD/dlna: dlnD/dlna = a / D dD/da + ftab = y[:, 1, 0] / y1[-1] * atab / gtab + f2tab = y[:, 1, 1] / y2[-1] * atab / g2tab + # Similarly for second order derivatives + # Note: these factors are not accessible as parent functions yet + # since it is unclear what to refer to them with. + htab = dyda2[:, 1, 0] / y1[-1] * atab / gtab + h2tab = dyda2[:, 1, 1] / y2[-1] * atab / g2tab + + cache = { + "a": atab, + "g": gtab, + "f": ftab, + "h": htab, + "g2": g2tab, + "f2": f2tab, + "h2": h2tab, + } + cosmo._workspace["background.growth_factor"] = cache + else: + cache = cosmo._workspace["background.growth_factor"] + return np.clip(interp(a, cache["a"], cache["g"]), 0.0, 1.0) + + +def _growth_rate_ODE(cosmo, a): + """Compute growth rate dD/dlna at a given scale factor by solving the linear + growth ODE. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + f: ndarray, or float if input scalar + Growth rate computed at requested scale factor + """ + # Check if growth has already been computed, if not, compute it + if not "background.growth_factor" in cosmo._workspace.keys(): + _growth_factor_ODE(cosmo, np.atleast_1d(1.0)) + cache = cosmo._workspace["background.growth_factor"] + return interp(a, cache["a"], cache["f"]) + + +def _growth_factor_second_ODE(cosmo, a): + """Compute second order growth factor D2(a) at a given scale factor, + normalised such that D(a=1) = 1. + + Parameters + ---------- + a: array_like + Scale factor + + amin: float + Mininum scale factor, default 1e-3 + + Returns + ------- + D2: ndarray, or float if input scalar + Second order growth factor computed at requested scale factor + """ + # Check if growth has already been computed, if not, compute it + if not "background.growth_factor" in cosmo._workspace.keys(): + _growth_factor_ODE(cosmo, np.atleast_1d(1.0)) + cache = cosmo._workspace["background.growth_factor"] + return interp(a, cache["a"], cache["g2"]) + + +def _growth_rate_ODE(cosmo, a): + """Compute growth rate dD/dlna at a given scale factor by solving the linear + growth ODE. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + f: ndarray, or float if input scalar + Second order growth rate computed at requested scale factor + """ + # Check if growth has already been computed, if not, compute it + if not "background.growth_factor" in cosmo._workspace.keys(): + _growth_factor_ODE(cosmo, np.atleast_1d(1.0)) + cache = cosmo._workspace["background.growth_factor"] + return interp(a, cache["a"], cache["f"]) + + +def _growth_rate_second_ODE(cosmo, a): + """Compute second order growth rate dD2/dlna at a given scale factor by solving the linear + growth ODE. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a: array_like + Scale factor + + Returns + ------- + f2: ndarray, or float if input scalar + Second order growth rate computed at requested scale factor + """ + # Check if growth has already been computed, if not, compute it + if not "background.growth_factor" in cosmo._workspace.keys(): + _growth_factor_ODE(cosmo, np.atleast_1d(1.0)) + cache = cosmo._workspace["background.growth_factor"] + return interp(a, cache["a"], cache["f2"]) + + +def _growth_factor_gamma(cosmo, a, log10_amin=-3, steps=128): + r"""Computes growth factor by integrating the growth rate provided by the + \gamma parametrization. Normalized such that D( a=1) =1 + + Parameters + ---------- + a: array_like + Scale factor + + amin: float + Mininum scale factor, default 1e-3 + + Returns + ------- + D: ndarray, or float if input scalar + Growth factor computed at requested scale factor + + """ + # Check if growth has already been computed, if not, compute it + if not "background.growth_factor" in cosmo._workspace.keys(): + # Compute tabulated array + atab = np.logspace(log10_amin, 0.0, steps) + + def integrand(y, loga): + xa = np.exp(loga) + return _growth_rate_gamma(cosmo, xa) + + gtab = np.exp(odeint(integrand, np.log(atab[0]), np.log(atab))) + gtab = gtab / gtab[-1] # Normalize to a=1. + cache = {"a": atab, "g": gtab} + cosmo._workspace["background.growth_factor"] = cache + else: + cache = cosmo._workspace["background.growth_factor"] + return np.clip(interp(a, cache["a"], cache["g"]), 0.0, 1.0) + + +def _growth_rate_gamma(cosmo, a): + r"""Growth rate approximation at scale factor `a`. + + Parameters + ---------- + cosmo: `Cosmology` + Cosmology object + + a : array_like + Scale factor + + Returns + ------- + f_gamma : ndarray, or float if input scalar + Growth rate approximation at the requested scale factor + + Notes + ----- + The LCDM approximation to the growth rate :math:`f_{\gamma}(a)` is given by: + + .. math:: + + f_{\gamma}(a) = \Omega_m^{\gamma} (a) + + with :math: `\gamma` in LCDM, given approximately by: + .. math:: + + \gamma = 0.55 + + see :cite:`2019:Euclid Preparation VII, eqn.32` + """ + return Omega_m_a(cosmo, a) ** cosmo.gamma + + + +def Gf(cosmo, a): + r""" + FastPM growth factor function + + Parameters + ---------- + cosmo: dict + Cosmology dictionary. + + a : array_like + Scale factor. + + Returns + ------- + Scalar float Tensor : FastPM growth factor function. + + Notes + ----- + + The expression for :math:`Gf(a)` is: + + .. math:: + Gf(a)=D'_{1norm}*a**3*E(a) + """ + f1 = growth_rate(cosmo, a) + g1 = growth_factor(cosmo, a) + D1f = f1*g1/ a + return D1f * np.power(a, 3) * np.power(Esqr(cosmo, a), 0.5) + + +def Gf2(cosmo, a): + r""" FastPM second order growth factor function + + Parameters + ---------- + cosmo: dict + Cosmology dictionary. + + a : array_like + Scale factor. + + Returns + ------- + Scalar float Tensor : FastPM second order growth factor function. + + Notes + ----- + + The expression for :math:`Gf_2(a)` is: + + .. math:: + Gf_2(a)=D'_{2norm}*a**3*E(a) + """ + f2 = growth_rate_second(cosmo, a) + g2 = growth_factor_second(cosmo, a) + D2f = f2*g2/ a + return D2f * np.power(a, 3) * np.power(Esqr(cosmo, a), 0.5) + + +def dGfa(cosmo, a): + r""" Derivative of Gf against a + + Parameters + ---------- + cosmo: dict + Cosmology dictionary. + + a : array_like + Scale factor. + + Returns + ------- + Scalar float Tensor : the derivative of Gf against a. + + Notes + ----- + + The expression for :math:`gf(a)` is: + + .. math:: + gf(a)=\frac{dGF}{da}= D^{''}_1 * a ** 3 *E(a) +D'_{1norm}*a ** 3 * E'(a) + + 3 * a ** 2 * E(a)*D'_{1norm} + + """ + f1 = growth_rate(cosmo, a) + g1 = growth_factor(cosmo, a) + D1f = f1*g1/ a + cache = cosmo._workspace['background.growth_factor'] + f1p = cache['h'] / cache['a'] * cache['g'] + f1p = interp(np.log(a), np.log(cache['a']), f1p) + Ea = E(cosmo, a) + return (f1p * a**3 * Ea + D1f * a**3 * dEa(cosmo, a) + + 3 * a**2 * Ea * D1f) + + +def dGf2a(cosmo, a): + r""" Derivative of Gf2 against a + + Parameters + ---------- + cosmo: dict + Cosmology dictionary. + + a : array_like + Scale factor. + + Returns + ------- + Scalar float Tensor : the derivative of Gf2 against a. + + Notes + ----- + + The expression for :math:`gf2(a)` is: + + .. math:: + gf_2(a)=\frac{dGF_2}{da}= D^{''}_2 * a ** 3 *E(a) +D'_{2norm}*a ** 3 * E'(a) + + 3 * a ** 2 * E(a)*D'_{2norm} + + """ + f2 = growth_rate_second(cosmo, a) + g2 = growth_factor_second(cosmo, a) + D2f = f2*g2/ a + cache = cosmo._workspace['background.growth_factor'] + f2p = cache['h2'] / cache['a'] * cache['g2'] + f2p = interp(np.log(a), np.log(cache['a']), f2p) + E = E(cosmo, a) + return (f2p * a**3 * E + D2f * a**3 * dEa(cosmo, a) + + 3 * a**2 * E * D2f) \ No newline at end of file diff --git a/jaxpm/kernels.py b/jaxpm/kernels.py new file mode 100644 index 0000000..73a8c93 --- /dev/null +++ b/jaxpm/kernels.py @@ -0,0 +1,85 @@ +import numpy as np +import jax.numpy as jnp + +def fftk(shape, symmetric=True, finite=False, dtype=np.float32): + """ Return k_vector given a shape (nc, nc, nc) and box_size + """ + k = [] + for d in range(len(shape)): + kd = np.fft.fftfreq(shape[d]) + kd *= 2 * np.pi + kdshape = np.ones(len(shape), dtype='int') + if symmetric and d == len(shape) - 1: + kd = kd[:shape[d] // 2 + 1] + kdshape[d] = len(kd) + kd = kd.reshape(kdshape) + + k.append(kd.astype(dtype)) + del kd, kdshape + return k + +def gradient_kernel(kvec, direction, order=1): + """ + Computes the gradient kernel in the requested direction + Parameters: + ----------- + kvec: array + Array of k values in Fourier space + direction: int + Index of the direction in which to take the gradient + Returns: + -------- + wts: array + Complex kernel + """ + if order == 0: + wts = 1j * kvec[direction] + wts = jnp.squeeze(wts) + wts[len(wts) // 2] = 0 + wts = wts.reshape(kvec[direction].shape) + return wts + else: + w = kvec[direction] + a = 1 / 6.0 * (8 * jnp.sin(w) - jnp.sin(2 * w)) + wts = a * 1j + return wts + +def laplace_kernel(kvec): + """ + Compute the Laplace kernel from a given K vector + Parameters: + ----------- + kvec: array + Array of k values in Fourier space + Returns: + -------- + wts: array + Complex kernel + """ + kk = sum(ki**2 for ki in kvec) + mask = (kk == 0).nonzero() + kk[mask] = 1 + wts = 1. / kk + imask = (~(kk == 0)).astype(int) + wts *= imask + return wts + +def longrange_kernel(kvec, r_split): + """ + Computes a long range kernel + Parameters: + ----------- + kvec: array + Array of k values in Fourier space + r_split: float + TODO: @modichirag add documentation + Returns: + -------- + wts: array + kernel + """ + if r_split != 0: + kk = sum(ki**2 for ki in kvec) + return np.exp(-kk * r_split**2) + else: + return 1. diff --git a/jaxpm/painting.py b/jaxpm/painting.py new file mode 100644 index 0000000..6eb1925 --- /dev/null +++ b/jaxpm/painting.py @@ -0,0 +1,51 @@ +import jax +import jax.numpy as jnp +import jax.lax as lax + +def cic_paint(mesh, positions): + """ Paints positions onto mesh + mesh: [nx, ny, nz] + positions: [npart, 3] + """ + positions = jnp.expand_dims(positions, 1) + floor = jnp.floor(positions) + connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], + [0., 0, 1], [1., 1, 0], [1., 0, 1], + [0., 1, 1], [1., 1, 1]]]) + + neighboor_coords = floor + connection + kernel = 1. - jnp.abs(positions - neighboor_coords) + kernel = kernel[..., 0] * kernel[..., 1] * kernel[..., 2] + + neighboor_coords = jnp.mod(neighboor_coords.reshape([-1,8,3]).astype('int32'), jnp.array(mesh.shape)) + + dnums = jax.lax.ScatterDimensionNumbers( + update_window_dims=(), + inserted_window_dims=(0, 1, 2), + scatter_dims_to_operand_dims=(0, 1, 2)) + mesh = lax.scatter_add(mesh, + neighboor_coords, + kernel.reshape([-1,8]), + dnums) + return mesh + +def cic_read(mesh, positions): + """ Paints positions onto mesh + mesh: [nx, ny, nz] + positions: [npart, 3] + """ + positions = jnp.expand_dims(positions, 1) + floor = jnp.floor(positions) + connection = jnp.array([[[0, 0, 0], [1., 0, 0], [0., 1, 0], + [0., 0, 1], [1., 1, 0], [1., 0, 1], + [0., 1, 1], [1., 1, 1]]]) + + neighboor_coords = floor + connection + kernel = 1. - jnp.abs(positions - neighboor_coords) + kernel = kernel[..., 0] * kernel[..., 1] * kernel[..., 2] + + neighboor_coords = jnp.mod(neighboor_coords.astype('int32'), jnp.array(mesh.shape)) + + return (mesh[neighboor_coords[...,0], + neighboor_coords[...,1], + neighboor_coords[...,3]]*kernel).sum(axis=-1) diff --git a/jaxpm/pm.py b/jaxpm/pm.py new file mode 100644 index 0000000..f4b405e --- /dev/null +++ b/jaxpm/pm.py @@ -0,0 +1,72 @@ +import jax +import jax.numpy as jnp + +import jax_cosmo as jc + +from jaxpm.kernels import fftk, gradient_kernel, laplace_kernel, longrange_kernel +from jaxpm.painting import cic_paint, cic_read +from jaxpm.growth import growth_factor, growth_rate, dGfa + +def pm_forces(positions, mesh_shape=None, delta=None, r_split=0): + """ + Computes gravitational forces on particles using a PM scheme + """ + if mesh_shape is None: + mesh_shape = delta.shape + kvec = fftk(mesh_shape) + + if delta is None: + delta_k = jnp.fft.rfftn(cic_paint(jnp.zeros(mesh_shape), positions)) + else: + delta_k = jnp.fft.rfftn(delta) + + # Computes gravitational potential + pot_k = delta_k * laplace_kernel(kvec) * longrange_kernel(kvec, r_split=r_split) + # Computes gravitational forces + return jnp.stack([cic_read(jnp.fft.irfftn(gradient_kernel(kvec, i)*pot_k), positions) + for i in range(3)],axis=-1) + + +def lpt(cosmo, initial_conditions, positions, a): + """ + Computes first order LPT displacement + """ + initial_force = pm_forces(positions, delta=initial_conditions) + a = jnp.atleast_1d(a) + dx = growth_factor(cosmo, a) * initial_force + p = a**2 * growth_rate(cosmo, a) * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dx + f = a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a)) * dGfa(cosmo, a) * initial_force + return dx, p, f + +def linear_field(mesh_shape, box_size, pk, seed): + """ + Generate initial conditions. + """ + kvec = fftk(mesh_shape) + kmesh = sum((kk / box_size[i] * mesh_shape[i])**2 for i, kk in enumerate(kvec))**0.5 + pkmesh = pk(kmesh) + + field = jax.random.normal(seed, mesh_shape) + field = jnp.fft.rfftn(field) * pkmesh**0.5 + field = jnp.fft.irfftn(field) + return field + +def make_ode_fn(mesh_shape): + + def nbody_ode(state, a, cosmo): + """ + state is a tuple (position, velocities) + """ + pos, vel = state + + forces = pm_forces(pos, mesh_shape=mesh_shape) * 1.5 * cosmo.Omega_m + + # Computes the update of position (drift) + dpos = 1. / (a**3 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * vel + + # Computes the update of velocity (kick) + dvel = 1. / (a**2 * jnp.sqrt(jc.background.Esqr(cosmo, a))) * forces + + return dpos, dvel + + return nbody_ode diff --git a/notebooks/Introduction.ipynb b/notebooks/Introduction.ipynb new file mode 100644 index 0000000..c6edd31 --- /dev/null +++ b/notebooks/Introduction.ipynb @@ -0,0 +1,160 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "c5f42bbe", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "%pylab is deprecated, use %matplotlib inline and import the required libraries.\n", + "Populating the interactive namespace from numpy and matplotlib\n" + ] + } + ], + "source": [ + "%pylab inline\n", + "\n", + "import jax\n", + "import jax.numpy as jnp\n", + "import jax_cosmo as jc\n", + "\n", + "from jax.experimental.ode import odeint\n", + "\n", + "from jaxpm.painting import cic_paint\n", + "from jaxpm.pm import linear_field, lpt, make_ode_fn" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "281b4d3b", + "metadata": {}, + "outputs": [], + "source": [ + "mesh_shape= [128, 128, 128]\n", + "box_size = [128.,128.,128.]\n", + "snapshots = jnp.linspace(0.1,1.,2)\n", + "\n", + "@jax.jit\n", + "def run_simulation(omega_c, sigma8):\n", + " # Create a small function to generate the matter power spectrum\n", + " k = jnp.logspace(-4, 1, 128)\n", + " pk = jc.power.linear_matter_power(jc.Planck15(Omega_c=omega_c, sigma8=sigma8), k)\n", + " pk_fn = lambda x: jc.scipy.interpolate.interp(x.reshape([-1]), k, pk).reshape(x.shape)\n", + "\n", + " # Create initial conditions\n", + " initial_conditions = linear_field(mesh_shape, box_size, pk_fn, seed=jax.random.PRNGKey(0))\n", + "\n", + " # Create particles\n", + " particles = jnp.stack(jnp.meshgrid(*[jnp.arange(s) for s in mesh_shape]),axis=-1).reshape([-1,3])\n", + "\n", + " cosmo = jc.Planck15(Omega_c=omega_c, sigma8=sigma8)\n", + " \n", + " # Initial displacement\n", + " dx, p, f = lpt(cosmo, initial_conditions, particles, 0.1)\n", + " \n", + " # Evolve the simulation forward\n", + " res = odeint(make_ode_fn(mesh_shape), [particles+dx, p], snapshots, cosmo, rtol=1e-5, atol=1e-5)\n", + " \n", + " # Return the simulation volume at requested \n", + " return res[0]" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "826be667", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/francois/.local/lib/python3.10/site-packages/jax/_src/numpy/lax_numpy.py:6655: UserWarning: Explicitly requested dtype requested in astype is not available, and will be truncated to dtype int32. To enable more dtypes, set the jax_enable_x64 configuration option or the JAX_ENABLE_X64 shell environment variable. See https://github.com/google/jax#current-gotchas for more.\n", + " lax._check_user_dtype_supported(dtype, \"astype\")\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "958 ms ± 15.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "res = run_simulation(0.25, 0.8)\n", + "%timeit res = run_simulation(0.25, 0.8)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "4e012ce8", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "subplot(121)\n", + "imshow(cic_paint(jnp.zeros(mesh_shape), res[0]).sum(axis=0),cmap='gist_stern')\n", + "subplot(122)\n", + "imshow(cic_paint(jnp.zeros(mesh_shape), res[1]).sum(axis=0),cmap='gist_stern')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4e050871", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.2" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/setup.py b/setup.py new file mode 100644 index 0000000..44be5a1 --- /dev/null +++ b/setup.py @@ -0,0 +1,11 @@ +from setuptools import setup, find_packages + +setup( + name='JaxPM', + version='0.0.1', + url='https://github.com/DifferentiableUniverseInitiative/JaxPM', + author='JaxPM developers', + description='A dead simple FastPM implementation in JAX', + packages=find_packages(), + install_requires=['jax', 'jax_cosmo'], +) \ No newline at end of file