{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Walkthrough 2: Making quantum matter \n", "This notebook does not run any jobs " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction ##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The most basic operation of Oqtant and Oqtant QMS is the creation of quantum matter in the form of a Bose-Einstein Condensate (BEC). Using Oqtant, users have control of the final cooling step to quantum degeneracy -- the forced radiofrequency evaporation that cools atoms to the ultracold quantum regime. We saw this in the previous walkthrough, where we controlled the final state by specifying a target atomic ensemble temperature.\n", "\n", "Each run of the Oqtant hardware is separated into two distinct phases -- an *evaporation* phase where forced radiofrequency evaporation takes place that cools the atoms to quantum degeneracy, and a *manipulation* phase where that matter can be held and/or manipulated. In this walthrough, we will focus mostly on the evaporation phase, leaving exploration of manipulation of the quantum matter for later walkthroughs.\n", "\n", "\n", "This, along with all our example notebooks are publicly available for download from our [GitLab repository.](https://gitlab.com/infleqtion/albert/oqtant-documentation/-/tree/main/oqtant_documentation/docs/examples?ref_type=heads)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Imports and user authentication ##" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "from oqtant.schemas.quantum_matter import QuantumMatterFactory\n", "\n", "qmf = QuantumMatterFactory()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Authenticate automatically ###\n", "\n", "The easiest way to authenticate as an Oqtant user is to execute the following cell. This will activate a widget that will let you sign in. \n", "If popups are blocked, or you are on a system that does not support this method, please follow the steps just below to authenticate manually instead. \n", "Note that currently the *automatic authentication method is only compatible with classic jupyter notebooks*, and not jupyter lab, nanohub, binder, colab, etc." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "qmf.get_login()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Authenticate manually ###\n", "\n", "If you cannot use the automatic authentication method above, you can instead authenticate using a slightly more manual process: \n", "\n", "1. Copy your access token from [oqtant.infleqtion.com/oqtantAPI](https://oqtant.infleqtion.com/oqtantAPI)\n", "2. Paste that token just below and execute the cell (the if statement keeps the code from executing if you already authenticated above)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "if qmf.login.access_token == \"\":\n", " qmf.login.access_token = \"Paste your token here between the quotes!\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get client ###\n", "\n", "At this point you should have a valid access token and be able to establish a *client* for communicating with the Oqtant REST service. Executing the cell just below should show your current job quota limits." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "qmf.get_client()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create a QuantumMatter object ##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Control QuantumMatter lifetime and time of flight imaging ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As seen in walkthrough 1, the simplest way to create a QuantumMatter object is to provide the target temperature as an input parameter, along with an (optional) name. \n", "\n", "We can also control how long the atom ensemble is held after evaporation is complete by passing a *lifetime* parameter, with the units of milliseconds and a time resolution of 100 microseconds. After the hold time (lifetime) is complete, a destructive image will be taken of the ensemble. \n", "\n", "*Note: that this usage of the term *lifetime* is not to be confused with the common usage in physics of an exponentially decaying quantity's $1/e$ time constant, which is also commonly called the lifetime.*\n", "\n", "In this example, we will take a \"time of flight\" image (the default) where the ensemble is released from its trap and allowed to freely fall under gravity, expanding according to its effective trap temperature, before the image is taken. How long the cloud falls before the image is captured is controlled by the *time_of_flight* input parameter, also with the units of milliseconds and available resolution of 100 microseconds. \n", "\n", "Begin by constructing a QuantumMatter object that produces a resulting ensemble with a (target) temperature of 100 nK, a lifetime of 10 ms, and a time of flight of 8 ms. Again, we use the QuantumMatterFactory: " ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "matter = qmf.create_quantum_matter(\n", " temperature=100,\n", " lifetime=10.5,\n", " time_of_flight=8.2,\n", " name=\"QM w/ lifetime + tof control\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Control of the time of flight is useful for revealing some of the unique features of a BEC. \n", "\n", "The quantum properties of the atoms in the condensate lead to a distinct expansion as a large, slowly expanding peak that suddenly forms below the transition temperature. As this peak expands during the time of flight, features of quantum matter such as *shape inversion* can be observed. Here, an asymmetric atom ensemble, with one or more axes spatially smaller than the other(s), inverts during freefall -- the narrow dimension(s) expand more quickly than the wide dimension, inverting the aspect ratio of the ensemble -- due to (repulsive) internal interaction energy amongst the atoms. \n", "\n", "The (classical) behavior of the thermal fraction, those atoms that are not condensed, can be studied. Hotter thermal clouds expand faster and become more diffuse more quickly, while colder clouds expand more slowly. The details of the cloud shape during the time of flight depend on the initial sample temperature, density, population, and condensed fraction, all of which can be controlled by the user using Oqtant via the web app or OqtAPI." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize forced radiofrequency evaporation dynamic behavior ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The QuantumMatter object has helper methods for visualizing what behavior will be carried out on Oqtant hardware. \n", "\n", "In our example, the only dynamic quantities are the radiofrequency power and frequency (detuning, relative to the energetic bottom of the trap that holds the atom ensemble) applied to the atoms during evaporation. When specifying a target temperature, these dynamics are automatically calculated in the backend. \n", "\n", "We will see below how the evaporation sequence can be customized further and how radiofrequency radiation can also be applied during the manipulation phase." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matter.show_rf_dynamics()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looking closely at the plot above, we notice that all the times associated with the forced evaporation sequence are negative. Negative times correspond to the evaporation phase and positive times to the manipulation phase. This offset is taken care of in the backend and will still occur even with fully user-defined evaporation curves (see below). In the plot above, the vertical dashed line indicates the separation of the overall program into the evaporation (t $\\leq$ 0) and manipulation (t $>$ 0) phases.\n", "\n", "Note that the radiofrequency evaporation frequency is referenced to the energetic trap bottom. Therefore, the frequency can be interpreted as a *detuning*, where a detuning of zero means we will remove all atoms from the trap. The closer we get to zero detuning during evaporation, the colder our resulting ensemble will be. This comes at the expense of atom population as more atoms need to be removed via evaporation in order to achieve a colder final temperature. These tradeoffs, and the interplay between evaporation dynamic RF power and frequency and the produced ensemble characteristics, are easily explored using Oqtant." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Take full control of the forced evaporation sequence ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further control and exploration of the final temperature, population, and condensed/thermal fractions of the produced atom ensemble is made possible by passing a custom `RfEvap` object as an optional `rf_evap` parameter to the QuantumMatter object being instantiated. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Specify custom RF evaporation using the RfEvap object ####" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create custom forced evaporation sequences by using the *QuantumMatterFactory* to create an *RfEvap* object, which takes *equal length* lists of times (integer valued), powers, and frequencies, along with an interpolation option, discussed below. This data represents ordered pairs of (times, frequencies) and (times, powers) that are evaluated, according to the interpolation choice, over the time of the evaporation sequence. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "evap = qmf.create_rf_evap(\n", " times=[0, 400, 800, 1200, 1600],\n", " powers=[600, 800, 600, 400, 200],\n", " frequencies=[20, 10, 5, 2.5, 1.25],\n", " interpolation=\"LINEAR\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use this RfEvap object to create a *matter* object:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "matter = qmf.create_quantum_matter(\n", " rf_evap=evap, name=\"making quantum matter with direct rf control\"\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now see the customized evaporation curves of our *matter* object:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matter.show_rf_dynamics()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### RfEvap interpolation options ####" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aside from the \"LINEAR\" interpolation option specified above for our *RfEvap* object, the \"OFF\" option to give stepwise behavior of the evaporation frequency and power in time. The frequency or power value is held constant at the value of the previous datapoint. Both frequency and power share the same interpolation behavior. Let us see what this other interpolation option gives for the evaporation sequence:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# try out a different (temporal) interpolation option\n", "evaporation = qmf.create_rf_evap(\n", " times=[0, 400, 800, 1200, 1600],\n", " powers=[600, 750, 500, 400, 200],\n", " frequencies=[20, 10, 5, 2.5, 1.25],\n", " interpolation=\"OFF\",\n", ")\n", "\n", "matter = qmf.create_quantum_matter(\n", " rf_evap=evaporation, name=\"direct rf control without interpolation\"\n", ")\n", "\n", "matter.show_rf_dynamics()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Note: With interpolation=\"OFF\", the last point of frequency and power is not used as the instantaneous frequency and power are determined by the previous datapoint.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Specify a custom RfEvap object and target temperature simulaneously ####" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If a target temperature is specified at the same time as a customized `RfEvap` object, the final frequency of radiation applied to the atoms will be tweaked to attempt to achieve the desired temperature. To use your unmodified custom evaporation sequence, avoid passing both parameters together. " ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "evaporation = qmf.create_rf_evap(\n", " times=[0, 400, 800, 1200, 1600],\n", " powers=[600, 750, 500, 400, 200],\n", " frequencies=[20, 10, 5, 2.5, 0.1],\n", " interpolation=\"LINEAR\",\n", ")\n", "\n", "# specify only the custom rf_evap input parameter\n", "matter = qmf.create_quantum_matter(rf_evap=evaporation)\n", "print(\"the final frequency is\", matter.rf_evaporation.frequencies_mhz[-1], \"mHz\")\n", "\n", "# specify both the custom rf_evap input parameter as well as a target temperature\n", "matter = qmf.create_quantum_matter(temperature=500, rf_evap=evaporation)\n", "print(\"the final frequency is\", matter.rf_evaporation.frequencies_mhz[-1], \"mHz\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Apply a radio frequency \"shield\" during the manipulation phase ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oqtant can also use RF radiation to throw away any atoms that are heated above a certain temperature, *shielding* the rest of the ensemble from destructive collisions with hot atoms. \n", "\n", "Apply forced radiofrequency evaporation (at fixed power and frequency/detuning) during the manipulation phase by creating an `RfShield` (*RFShield*) object with the *factory*. Much like we were able to create a quantum matter program above by passing a *RfEvap* object as the `rf_evap` parameter; to add the *RfShield* to the *matter* object, we pass an additional `rf_shield` parameter.\n", "\n", "This feature will be most useful when we start manipulating the quantum matter sample with, e.g., externally applied optical fields. We will encounter this more advanced level of manipulation in the following walkthrough.\n", "\n", "*NOTE: to apply a shield, you must specify a finite (>0) lifetime such that the manipulation phase has a finite time over which the shield can be applied. The default lifetime value, which will be used if not explicit lifetime parameter is provided, is 10 ms.*\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "evaporation = qmf.create_rf_evap(\n", " times=[0, 400, 800, 1200, 1600],\n", " powers=[600, 750, 500, 400, 200],\n", " frequencies=[20, 10, 5, 2.5, 0.1],\n", " interpolation=\"LINEAR\",\n", ")\n", "\n", "shield = qmf.create_rf_shield(power=100, frequency=10)\n", "\n", "matter = qmf.create_quantum_matter(\n", " rf_evap=evaporation,\n", " rf_shield=shield,\n", " lifetime=60,\n", " name=\"matter with shield during manipulation phase\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rf shield is included in the resulting rf dynamics:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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yMpKXXnrJ+PydO3d45plnKFeuHPv37+err77io48+YubMmUX+/v6VYkauXbumAEpERIRxX4sWLZRRo0ZpF5QQQgghii1AWbFihfGxwWBQfH19la+++sq4Lzk5WbGzs1MWLlyoKIqiHD9+XAGUvXv3Go9Zv369otPplMuXLyuKoijTpk1TSpUqpWRmZhqPefvtt5Vq1aoV8Tv6d2Y1eeJe8VQPD488++fPn89vv/2Gr68vnTp14oMPPsDR0fGBbWRmZpKZmWl8nJOTw4kTJwgMDESvl0nAQgghRHFjMBiIi4ujZs2aeVbFsbOzw87OrkBtxcbGkpiYmGdZQDc3Nxo1akRUVBR9+vQhKioKd3f3PPU3w8LC0Ov1REdH061bN6KiomjevDm2trbGY9q0acPEiRO5desWpUqVeoR3XHhmk9gZDAZGjx5NkyZNCAoKMu5/7rnnKFeuHP7+/hw+fJi3336bU6dOsXz58ge2M2HCBD7++OPHFbYQQgghNPLhhx/y0UcfFeg1iYmJAPj4+OTZ7+PjY3wuMTERb2/vPM9bW1vj4eGR55h/Lud3r83ExERJ7IYPH87Ro0fZsWNHnv1/v58dHByMn58frVq14ty5c1SqVOm+dsaNG8eYMWOMj+Pj4wkKCmLPnj34+fkV3RsQQgghiimDYuB6+nUAvBy80OvM6w7XlStXaNiwIUePHiUwMNC4v6C9dSWBWSR2I0aMMA5MLFOmzL8e26hRIwDOnj37wMTun92y95b38fPz+8+2hRBCiJIoLTuNDgs6ABD9XDSONg8e7qQ1Nzc3XF1dH6kNX19fAK5evZqnw+fq1auEhIQYj7l27Vqe1+Xk5JCUlGR8va+vL1evXs1zzL3H947RgqYpuaIojBgxghUrVrB169b7ujQfJCYmBkB634QQQghRYBUqVMDX15ctW7YY9925c4fo6GgaN24MQOPGjUlOTmb//v3GY7Zu3YrBYDB2MDVu3JjIyEiys7ONx2zatIlq1appdhsWNE7shg8fzm+//caCBQtwcXEhMTGRxMRE0tPTATh37hyffvop+/fv58KFC6xevZoBAwbQvHlzateurWXoQgghhDBTd+/eJSYmxtgZFBsbS0xMDHFxceh0OkaPHs1nn33G6tWrOXLkCAMGDMDf35+uXbsCUKNGDdq2bcvQoUPZs2cPO3fuZMSIEfTp0wd/f39AnQNga2vL4MGDOXbsGIsXL2bq1Kl5hoNpQsspucADt9mzZyuKoihxcXFK8+bNFQ8PD8XOzk6pXLmyMnbsWOX27dv5Pkd8fLwCKPHx8UX0LoQQQojiLTUrVQmaE6QEzQlSUrNStQ7nPgW9lm/btu2B+cXAgQMVRVFLnnzwwQeKj4+PYmdnp7Rq1Uo5depUnjZu3ryp9O3bV3F2dlZcXV2VF154QUlJSclzzKFDh5SmTZsqdnZ2SkBAgPLll1+a5P0+CotfUuzSpUsEBgYSHx8vY+xEiZObm5vnNoEo3mxsbLCystI6DGGB0rLTaLRAvcVojmPs5Fqef2YxeUIIYVqKopCYmEhycrLWoQgTc3d3x9fXF51Op3UoQggzJImdEBboXlLn7e2No6OjJAEWQFEU0tLSjDP1ZAKZEOJBJLETwsLk5uYak7rSpUtrHY4wIQcHBwCuXbuGt7e33JYVJmOtt6Z3td7Gr0XxJT89ISzMvTF1D1t2TxRv936u2dnZktgJk7G1suX9J9/XOgxhAuZVWloIYTJy+9Uyyc9VCPFvpMdOCCGEKOEUReFW5i0AStmVkj8gijHpsRNCmA1FUXjppZfw8PBAp9MZi4sKIYpWek46LRa3oMXiFqTnpGsdjngE0mMnhDAbGzZsYM6cOYSHh1OxYkU8PT21DkkIIYoVSeyEEGbj3Llz+Pn58dRTTz3w+aysLGxtbR9zVEIIUXzIrVghhFkYNGgQr732mnEtx/LlyxMaGsqIESMYPXo0np6etGnTBoCjR4/Srl07nJ2d8fHxoX///ty4ccPYVmpqKgMGDMDZ2Rk/Pz+++eYbQkNDGT16tPEYnU7HypUr88Tg7u7OnDlzjI/j4+N59tlncXd3x8PDgy5dunDhwoU8MXft2pWvv/4aPz8/SpcuzfDhw/Os9pGZmcnbb79NYGAgdnZ2VK5cmV9//RVFUahcuTJff/11nhhiYmLQ6XScPXv20b+pQogSRxI7IUoARVFIy8rRZMvvqoVTp07lk08+oUyZMly5coW9e/cCMHfuXGxtbdm5cyczZswgOTmZp59+mrp167Jv3z42bNjA1atXefbZZ41tjR07loiICFatWsWff/5JeHg4Bw4cKND3LDs7mzZt2uDi4sL27dvZuXMnzs7OtG3blqysLONx27Zt49y5c2zbto25c+cyZ86cPMnhgAEDWLhwId999x0nTpzgp59+wtnZGZ1Ox4svvsjs2bPznHf27Nk0b96cypUrFyheIYQAuRUrRImQnp1LzfEbNTn38U/a4Gj73x81bm5uuLi4YGVlha+vr3F/lSpVmDRpkvHxZ599Rt26dfniiy+M+2bNmkVgYCCnT5/G39+fX3/9ld9++41WrVoBanJY0PUlFy9ejMFg4JdffjHOEJw9ezbu7u6Eh4fzzDPPAFCqVCl++OEHrKysqF69Oh06dGDLli0MHTqU06dPs2TJEjZt2kRYWBgAFStWNJ5j0KBBjB8/nj179tCwYUOys7NZsGDBfb14QgiRX5LYCSHMWr169fI8PnToENu2bcPZ2fm+Y8+dO0d6ejpZWVk0atTIuN/Dw4Nq1aoV6LyHDh3i7NmzuLi45NmfkZHBuXPnjI9r1aqVp1Cwn58fR44cAdTbqlZWVrRo0eKB5/D396dDhw7MmjWLhg0bsmbNGjIzM+nVq1eBYhVCiHsksROiBHCwseL4J200O/ejcHJyyvP47t27dOrUiYkTJ953rJ+fX77Hpul0uvtuE/99bNzdu3epV68e8+fPv++1Xl5exq9tbGzua9dgMAB/LQH2b4YMGUL//v359ttvmT17Nr1795ZVQ8RjZ623pnOlzsavRfElPz0hSgCdTpev26HFwRNPPMHvv/9O+fLlsba+/z1VqlQJGxsboqOjKVu2LAC3bt3i9OnTeXrOvLy8uHLlivHxmTNnSEtLy3OexYsX4+3tjaura6FiDQ4OxmAwEBERYbwV+0/t27fHycmJ6dOns2HDBiIjIwt1LiEeha2VLZ83/VzrMIQJyOQJIUSxMnz4cJKSkujbty979+7l3LlzbNy4kRdeeIHc3FycnZ0ZPHgwY8eOZevWrRw9epRBgwah1+f9uHv66af54YcfOHjwIPv27eOVV17J0/vWr18/PD096dKlC9u3byc2Npbw8HBGjhzJpUuX8hVr+fLlGThwIC+++CIrV640trFkyRLjMVZWVgwaNIhx48ZRpUoVGjdubJpvlBCiRJLETghRrPj7+7Nz505yc3N55plnCA4OZvTo0bi7uxuTt6+++opmzZrRqVMnwsLCaNq06X1j9b755hsCAwNp1qwZzz33HG+++WaeW6COjo5ERkZStmxZunfvTo0aNRg8eDAZGRkF6sGbPn06PXv25NVXX6V69eoMHTqU1NTUPMcMHjyYrKwsXnjhhUf4zghReIqikJadRlp2Wr5nsgvzpFMs/Cd46dIlAgMDiY+PL/CsOCGKo4yMDGJjY6lQoQL29vZah2M2QkNDCQkJYcqUKVqHcp/t27fTqlUr4uPj8fHx+ddj5ecrikJadhqNFqgTjqKfi8bRxrzGecq1PP8sY9CNEEIUQ5mZmVy/fp2PPvqIXr16/WdSJ4QQ/0VuxQohhEYWLlxIuXLlSE5OzlOrTwghCkt67IQQJUJ4eLjWIdxn0KBBDBo0SOswhBAWRHrshBBCCCEshCR2QgghhBAWQhI7IYQQQggLIWPshBBCiBLOSm9F63KtjV+L4ksSOyGEEKKEs7OyY3LoZK3DECYgt2KFEEIIISyEJHZCCCGEEBZCEjshhBCihEvLTiN4bjDBc4NJy07TOhzxCCSxE0KIfMrKytI6BCGE+FeS2AkhzEZoaCgjRoxgxIgRuLm54enpyQcffICiKADcunWLAQMGUKpUKRwdHWnXrh1nzpwBQFEUvLy8WLZsmbG9kJAQ/Pz8jI937NiBnZ0daWlqj0RycjJDhgzBy8sLV1dXnn76aQ4dOmQ8/qOPPiIkJIRffvmFChUqYG9v/zi+DUIIUWiS2AlREigKZKVqs/1/UpZfc+fOxdramj179jB16lQmT57ML7/8AqhLcO3bt4/Vq1cTFRWFoii0b9+e7OxsdDodzZs3Ny4dduvWLU6cOEF6ejonT54EICIiggYNGuDo6AhAr169uHbtGuvXr2f//v088cQTtGrViqSkJGM8Z8+e5ffff2f58uXExMQ8+s9CCCGKkJQ7EaIkyE6DL/y1Ofe7CWDrlO/DAwMD+fbbb9HpdFSrVo0jR47w7bffEhoayurVq9m5cydPPfUUAPPnzycwMJCVK1fSq1cvQkND+emnnwCIjIykbt26+Pr6Eh4eTvXq1QkPD6dFixaA2nu3Z88erl27hp2dHQBff/01K1euZNmyZbz00kuAevt13rx5eHl5mfK7IoQQRUJ67IQQZuXJJ59Ep9MZHzdu3JgzZ85w/PhxrK2tadSokfG50qVLU61aNU6cOAFAixYtOH78ONevXyciIoLQ0FBCQ0MJDw8nOzubXbt2ERoaCsChQ4e4e/cupUuXxtnZ2bjFxsZy7tw54znKlSsnSZ0QotiQHjshSgIbR7XnTKtzPybBwcF4eHgQERFBREQEn3/+Ob6+vkycOJG9e/eSnZ1t7O27e/cufn5+xlu3f+fu7m782skp/72NQgihNUnshCgJdLoC3Q7VUnR0dJ7Hu3fvpkqVKtSsWZOcnByio6ONydnNmzc5deoUNWvWBECn09GsWTNWrVrFsWPHaNq0KY6OjmRmZvLTTz9Rv359Y6L2xBNPkJiYiLW1NeXLl3+s71EIc2Olt6JZQDPj16L4kluxQgizEhcXx5gxYzh16hQLFy7k+++/Z9SoUVSpUoUuXbowdOhQduzYwaFDh3j++ecJCAigS5cuxteHhoaycOFCQkJCcHZ2Rq/X07x5c+bPn28cXwcQFhZG48aN6dq1K3/++ScXLlxg165dvPfee+zbt0+Lty6EZuys7JgWNo1pYdOws7LTOhzxCCSxE0KYlQEDBpCenk7Dhg0ZPnw4o0aNMk5kmD17NvXq1aNjx440btwYRVFYt24dNjY2xte3aNGC3Nxc41g6UJO9f+7T6XSsW7eO5s2b88ILL1C1alX69OnDxYsX8fHxeVxvVwghTEqnKAWsRVDMXLp0icDAQOLj4ylTpozW4QhR5DIyMoiNjS2WdddCQ0MJCQlhypQpWoditorzz1eIwpJref5Jj50QQghRwqVlp9FwfkMazm8oS4oVczJ5QgghhBCk56RrHYIwAUnshBBm40GlR4QQQuSf3IoVQgghhLAQktgJIYQQQlgISeyEsFAGg0HrEEQRkJ+rEOLfyBg7ISyMra0ter2ehIQEvLy8sLW1zbP2qiieFEUhKyuL69evo9frsbW11TokIYQZksROCAuj1+upUKECV65cISFBo/VhRZFxdHSkbNmy6PVyw0WYjl6np75PfePXoviSxE4IC2Rra0vZsmXJyckhNzdX63CEiVhZWWFtbS09sMLk7K3tmd12ttZhCBOQxE4IC6XT6bCxscmz3JYQQgjLJv2tQgghhBAWQhI7IYQQooRLy06j+aLmNF/UXJYUK+bkVqwQQgghuJV5S+sQhAlIj50QQgghhIWQxE4IIYQQwkJIYieEEEIIYSEksRNCCCGEsBCS2AkhhBBCWAiZFSuEEEKUcHqdnlqlaxm/FsWXJHZCCCFECWdvbc+ijou0DkOYgKTlQgghhBAWQhI7IYQQQggLIYmdEEIIUcKl56TTZlkb2ixrQ3pOutbhiEcgY+yEEEKIEk5RFBJSE4xfi+JLeuyEEEIIISyEJHZCCCGEEBZCEjshhBBCCAuhaWI3YcIEGjRogIuLC97e3nTt2pVTp07lOSYjI4Phw4dTunRpnJ2d6dGjB1evXtUoYiGEEEKYs9zcXD744AMqVKiAg4MDlSpV4tNPP80zdlBRFMaPH4+fnx8ODg6EhYVx5syZPO0kJSXRr18/XF1dcXd3Z/Dgwdy9e/dxv50C0zSxi4iIYPjw4ezevZtNmzaRnZ3NM888Q2pqqvGY119/nTVr1rB06VIiIiJISEige/fuGkb9lyu309l17gZXbssMIiGEEMIcTJw4kenTp/PDDz9w4sQJJk6cyKRJk/j++++Nx0yaNInvvvuOGTNmEB0djZOTE23atCEjI8N4TL9+/Th27BibNm1i7dq1REZG8tJLL2nxlgpEp5jR9Jfr16/j7e1NREQEzZs35/bt23h5ebFgwQJ69uwJwMmTJ6lRowZRUVE8+eST/9nmpUuXCAwMJD4+njJlypgs1sV74xi3/AgGBfQ6mNA9mN4NypqsfSGEEOJxSc9Jp+/avgAs7LgQB2sHjSPKqyDX8o4dO+Lj48Ovv/5q3NejRw8cHBz47bffUBQFf39/3njjDd58800Abt++jY+PD3PmzKFPnz6cOHGCmjVrsnfvXurXrw/Ahg0baN++PZcuXcLf37/o3uwjMqsxdrdv3wbAw8MDgP3795OdnU1YWJjxmOrVq1O2bFmioqIe2EZmZiZ37twxbikpKSaP88rtdN75XU3qAAwKvLv8qPTcCSGEKJYcrB1Y2XUlK7uuNLuk7u9SUlLyXOMzMzPvO+app55iy5YtnD59GoBDhw6xY8cO2rVrB0BsbCyJiYl5cgs3NzcaNWpkzC2ioqJwd3c3JnUAYWFh6PV6oqOji/ItPjKzSewMBgOjR4+mSZMmBAUFAZCYmIitrS3u7u55jvXx8SExMfGB7UyYMAE3NzfjVrNmTZPHGnsjlX92c+YqChdupJn8XEIIIYRQ1axZM881fsKECfcd884779CnTx+qV6+OjY0NdevWZfTo0fTr1w/AmD/4+Pjked3fc4vExES8vb3zPG9tbY2Hh8dD8w9zYTYFiocPH87Ro0fZsWPHI7Uzbtw4xowZY3x8+fJlkyd3FTyd0Osw9tiBeju2vKejSc8jhBBCiL8cP36cgIAA42M7O7v7jlmyZAnz589nwYIF1KpVi5iYGEaPHo2/vz8DBw58nOFqwix67EaMGMHatWvZtm1bnnvnvr6+ZGVlkZycnOf4q1ev4uvr+8C27OzscHV1NW4uLi4mj9fPzYEJ3YPR6/7a17qmD35u5tt9LYQQQjxMek46XVd2pevKrma9pJiLi0uea/yDEruxY8cae+2Cg4Pp378/r7/+urF3717+8M8KG3/PLXx9fbl27Vqe53NyckhKSnpo/mEuNE3sFEVhxIgRrFixgq1bt1KhQoU8z9erVw8bGxu2bNli3Hfq1Cni4uJo3Ljx4w43j94NyrLznad5pXlFALacuMah+GRNYxJCCCEKQ1EUzt0+x7nb54r9kmJpaWno9XnTGysrKwwGAwAVKlTA19c3T25x584doqOjjblF48aNSU5OZv/+/cZjtm7disFgoFGjRo/hXRSeprdihw8fzoIFC1i1ahUuLi7G+9Zubm44ODjg5ubG4MGDGTNmDB4eHri6uvLaa6/RuHHjfM2ILWp+bg683a468bfS+ePIFUYvjmHta01xsjObO9xCCCFEidKpUyc+//xzypYtS61atTh48CCTJ0/mxRdfBECn0zF69Gg+++wzqlSpQoUKFfjggw/w9/ena9euANSoUYO2bdsydOhQZsyYQXZ2NiNGjKBPnz5mPSMWAEVDwAO32bNnG49JT09XXn31VaVUqVKKo6Oj0q1bN+XKlSv5Pkd8fLwCKPHx8UXwDlS3UjOVJ7/YrJR7e63y9rJDRXYeIYQQoiikZqUqQXOClKA5QUpqVqrW4dynINfyO3fuKKNGjVLKli2r2NvbKxUrVlTee+89JTMz03iMwWBQPvjgA8XHx0exs7NTWrVqpZw6dSpPOzdv3lT69u2rODs7K66ursoLL7ygpKSkmPy9mZpZ1bErCkVVx+6fdp27Qb9folEUmPH8E7QN8iuycwkhhBCmlJadRqMF6i3G6OeicbQxr8mAj+tabgnMYvKEJXiqkicvN68EwDvLj5B4O+M/XiGEEEIIYVqS2JnQmNZVCQpwJTktmzeWxmAwWHRnqBBCCCHMjCR2JmRrrWdqn7rY2+jZefYms3bGah2SEEII8Z90Oh3+Tv74O/mj0+n++wXCbEliZ2KVvJwZ37EWAJM2nOJYwm2NIxJCCCH+nYO1Axt7bmRjz41mvaSY+G+S2BWBvg0DaV3Th6xcA6MWxZCelat1SEIIIYQoASSxKwI6nY6JPWrj5WLH2Wt3mbD+hNYhCSGEEKIEkMSuiHg42fJ1rzoAzIu6yJYTV//jFUIIIYQ2MnIy6LO2D33W9iEjR6o6FGeS2BWhFlW9eLGJukzaW8sOcz0lU+OIhBBCiPsZFAPHbh7j2M1jGBSD1uGIRyCJXRF7q201qvu6cDM1i7HLDhX7NfiEEEIIYb4ksSti9jZWTO1TF1trPeGnrjMv6qLWIZVsty9DbKT6rxBCCGFhJLF7DKr5uvBuu+oAfL7uBKevpmgcUQl1YB5MCYK5ndR/D8zTOiIhhBDCpCSxe0wGPlWeFlW9yMoxMHLhQTJzpATKY3X7MqwZBffGjigGWDNaeu6EEEJYFEnsHhOdTsdXvWpT2smWk4kpfLXhlNYhlRzptyBi4l9J3T1KLiSd1yYmIYQQoghIYvcYebvYM6lnbQB+2RHL9jPXNY7IwmWlQuTXMKUOHJj7gAN04F72sYclhBDmqJRdKUrZldI6DPGIJLF7zFrV8OH5J9Vk4o0lh0hKzdI4IguUkwXRM2FqCGz9FDJvg3ctqNkNdH//lVdg/VtqAiiEECWYo40jkX0iiewTiaONo9bhiEdgrXUAJdF77WsSde4m566n8vbvh5nZv54sumwKhlw4shS2fQHJ/z/7uFR5aPkeBPUAvZU6pi7pPCSdg/Vvw+kNMKcDPLcEnL01DV8IIYR4VNJjpwEHW7UEio2Vjk3Hr7Job7zWIRVvigIn/4DpTWDFy2pS5+wD7b+G4Xuh9rNqUgfgFgAVmkG9QTBwDTh4QMJB+CUMbpzR9G0IIYQQj0oSO40EBbgxtk01AD5Zc5xz1+9qHFExFRsJv7aGRc/B9RNg7wZhH8HIg9BwKFjbPvy1gQ1h8Ca1Vy/5otpO3O7HFbkQQpiNjJwMXtjwAi9seEGWFCvmJLHT0JCmFXmqUmnSs3MZvSiGrBxZxiXfLh+AeV3VmnSX9oKNIzR7A0Ydhqavg61T/trxrAyDN0NAPXX27NzOcHxVkYYuhBDmxqAY2Hd1H/uu7pMlxYo5Sew0pNfrmPxsCG4ONhy5fJtvN5/WOiTzd/00LBkAP7eE89tAbwMNhsLIGGg1HhzcC96ms5d6W7ZqO8jNhCUDIWqaqSMXQgghipwkdhrzdbPny+7BAMyIOMfu8zc1jshMJcfDquEwrdH/96jpoHYfeG0fdPgaXHwerX1bJ+gzH+oPBhTYOA42jAOD/OUqhBCi+JDEzgy0C/ajd/1AFAXGLI7hdlq21iGZj9QbaoL1/RNw8De1yHC1DjBsF3T/SR0fZyp6K+jwDYR9rD7ePQ2WDYJsGW8ihBCieJDEzkyM71ST8qUdSbidwbsrj6AoitYhaSvjjlq2ZGodNcHKzYLyzdTxcH0XgE/NojmvTgdNR0OPX8HKVu0dnNcF0pKK5nxCCCGECUliZyac7KyZ0qcuVnodfxy+wvIDJXQN0+wM2PWDmtBFTISsu+AXAs8vV8fBBTZ4PHEE94T+K9RZtvG74ddn4NaFx3NuIYQQopAksTMjIYHuvB5WBYDxq45y8WYJWhEhNwf2z1Vvuf75HqQnQekq0GsuvBQOlVupvWmPU/mm8OJGcC0DN8+ote4uH3i8MQghxGPiYO2Ag7WD1mGIRySJnZkZFlqZBuVLkZqVy+jFMeTkWvjgfYMBji5XJ0WsGQl3LquJVOcf4NXdUKvr40/o/s67BgzZDL7BkHpdXaXi9Ebt4hFCiCLgaOPInn572NNvjywpVsxJYmdmrPQ6vu0dgoudNQfjkvl+61mtQyoaigJnNsPMFrDsBbh5FhxLQ5sJ8Np+eKI/WJnJineufvDCeqj0NGSnwcI+sG+21lEJIYQQ95HEzgyVKeXIZ92CAPh+6xn2X7Swgftx0WrP1/wekHgYbF0gdByMOgSNXwUbe60jvJ+di7qebMjz6szctaNhyydqgiqEEEKYCUnszFSXkAC61Q3AoMCoRTGkZFhACZSrx2BBH5j1DFzcCVZ20HiEmtCFvqMmT+bMyga6/KAmoQDbv1HXps3J0jYuIYR4RJm5mby6+VVe3fwqmbmZWocjHoGZ3OsSD/Jxl1rsvZDEpVvpfLj6GJOfDdE6pMJJilVLlxxZCiigs4K6/aDF2+BWRuvoCkanU5NQ1wBYMwoOL4aUROj9P3UGrRBCFEO5hly2X95u/BorjQMShSY9dmbM1d6GKb1D0Otg+YHLrD6UoHVIBZOSCGvHwA/14cgSQIFa3WB4NHT+vvgldX/3RH/otwRsnSE2Ama1g9sltESNEEIIsyGJnZmrX96DEU+rJVDeW3GEy8npGkeUD+m3YNOHMDUE9v0Khhyo1ApeioBec8CzitYRmkblMHhhHTj7wrVjajmUxKNaRyWEEKIEk8SuGBj5dGVCAt1Jycjh9cUx5BrMdMB+VipEfg1T6sDOKZCTDmUawqA/oP9y8A/ROkLT86sDQzaBZzVISYDZ7eB8uNZRCSGEKKEksSsGrK30TO0TgpOtFXtik5gRcU7rkPLKyYLomWoP3dZPIfM2eNeCvotg8J9qoV9L5l4WBm+Eck0h8w781gMOLdI6KiGEECWQJHbFRLnSTnzUuRYA3246zaH4ZG0DAjDkqgnMD/Vh/VhIvQalykP3n+GV7VCtnbbFhR8nh1Jqr2RQD/XW84qXIfIrKYcihBDisZLErhjpWa8MHYL9yDEojF4cQ2pmjjaBKAqc/AOmN1ETmOSL4OwD7b+G4Xuh9rOgL4FTqqztoPsv0GSU+njrZ+rM2VyNfk5CCCFKHCl3UozodDo+7xbEgbhbxN5I5dO1x/myR+3HG0RspFqY99Je9bG9GzQZDY1eBlunxxuLOdLrofUn4BYI69+CA3Mh5Qr0nA12zlpHJ4QQD+Ro48iRgUe0DkOYgPTYFTPujrZ882wddDpYtDeeDUcTH8+JLx+AeV1hbic1qbNxhKZj1OLCzcZIUvdPDYdC79/A2gHO/KmutJFyVeuohBBCWDhJ7Iqhpyp58nLzSgC8s/wwV+9kFN3Jrp+GJQPg55ZwfhvobaDBUBgZA2EfqmPLxINV7wCD1qpr4F6JgV/D1O+nEEIIUUQksSumxrSuSlCAK8lp2byx5BAGU5dASY6HVcNhWiM4vgrQQe3eMGIvdPgaXHxMez5LVaY+DN4EHhUhOQ5+bQ0Xd2kdlRBC5JGZm8mY8DGMCR8jS4oVc5LYFVO21nqm9qmLvY2eHWdvMGtnrGkaTr0BG8bB90/Awd/UBe+rtYdhO6H7TPCoYJrzlCSlK6nJXZkGkJGs3tI+tkLrqIQQwijXkMumi5vYdHGTuqSYKLYksSvGKnk580HHmgBM2nCKYwm3C99Yxh11PdepdWD3NMjNgvLN1ISk70LwqWWiqEsoJ08YsBqqdYDcTFg6CHb9IOVQhBBCmJQkdsXccw3LElbDh6xcA6MWxZCeVcC/tLIz1ARjah2ImAhZd8EvBJ5fDgPXQGDDIom7RLJ1hN7/g4YvqY//fA82vKPWAxRCCCFMQBK7Yk6n0zGxRzBeLnacvXaXCetP5O+FuTmwf656y/XP9yA9CUpXgV5z4aVwqNyq5BQXfpz0VtBuErT+VH0cPUOdnJJdDNYAFkIIYfYksbMApZ3t+LpXHQDmRV1ky4l/KathMMDR5eqkiDUj4c5lcA2Azt/Dq7uhVldJ6IqaTgdNRkLPWWBlCyfXwtzOkHpT68iEEEIUc5LYWYgWVb14sYk6seGtZYe5nvKPWU2KAmc2w8wWsOwFuHlWLcPR5gt47QA8MQCspF71YxXUA/qvVIs8X9qjzphNOq91VEIIIYoxSewsyFttq1Hd14WbqVm8tewQyr2B+XHRaoHc+T0g8TDYukDoOLUWXePhYGOvadwlWvkm8OKf6koVSefgl9Zwab/WUQkhhCimdIpi2dPyLl26RGBgIPHx8ZQpU0brcIrcqcQUOv2wg6wcA989bUvnG7/C6fXqk1Z26ooITceAU2ltAxV5pSTC/F5q4m3tAL1mQ7V2WkclhCghFEUhPUcd6+tg7YDOzIbklLRr+aOQe28WppqvC1+0cMYqcgIdd+4CnQI6PYT0g9B3wE3+Q5glF194YZ1aBuXsZlj0HLT/ChoM0ToyIUQJoNPpcLRx1DoMYQJyK9aSpCTC2jH0iOpKN6ud6HUKkTZNyHolCrr8IEmdubNzgb6LoG5/tTD0H2/A5o/UCS9CCCFEPkiPnSVIvwU7pkD0T5CTjg7ILN+SF+PasjMlkCF7DbzfUesgRb5Y2agzlN0CIfwL2PEt3L4EXX4EazutoxNCWKis3Cw+jvoYgA8bf4itla3GEYnCkh674iwrFbZ/oxYX3jkFctKhTEMY9Ad2g1byQs9uAPyyI5btZ65rG6vIP50OQt+GLtNAbw1HlsJvPSA9WevIhBAWKseQw+pzq1l9bjU5hhytwxGPQBK74ignC/b8DFNDYMsnkHEbvGtCn4Uw+E8o3xSAsJo+PP9kWQDeWHKIpNQsDYMWBVa3Hzy3RJ3FfGE7zGoLyfFaRyWEEMKMFfhWbGxsLNu3b+fixYukpaXh5eVF3bp1ady4Mfb2UjajSBly1d6bbV9A8kV1n3s5aPkeBPdUVzX4h/fa1yTq3E3OXU/l7d8PM7N/PbOb7ST+ReVW6qSK+b3g+gm11t1zS8CvttaRCSGEMEP5Tuzmz5/P1KlT2bdvHz4+Pvj7++Pg4EBSUhLnzp3D3t6efv368fbbb1OuXLmijLnkURQ4tQ62fgbXjqv7nH2g+Vh4YiBYP3wshIOtFVP71KXbtJ1sOn6VRXvj6duw7GMKXJiEX20Ysvmv5G52e+g9Dyo9rXVkQgghzEy+bsXWrVuX7777jkGDBnHx4kWuXLnC/v372bFjB8ePH+fOnTusWrUKg8FA/fr1Wbp0aVHHXXLERqq9NIueU5M6ezdo9SGMPKjWpPuXpO6eoAA3xrapBsAna45z/vrdoo5amJp7ILy4Aco3g6wUNck7OF/rqIQQQpiZfCV2X375JdHR0bz66qsEBgbe97ydnR2hoaHMmDGDkydPUrFiRZMHWuJcPgDzusLcTnBpL9g4qoWFRx2CZmPA1qlAzQ1pWpGnKpUmPTuXUYtiyMqREhrFjoM7PP87BPcCQw6sehXCJ6o9ukIIIQT5TOzatGmT7wZLly5NvXr1Ch1QiXf9NCwZAD+3hPPbQG8DDYaqy3+FfQgOpQrVrF6vY/KzIbg52HDk8m2mbD5t2rjF42FtB91mqkk+qCVRVr8GudnaxiWEEMIsFHhW7NNPP83HH3983/5bt27x9NMy5qfQkuNh1XCY1giOrwJ0ULs3jNgLHb4GF59HPoWvmz1fdg8GYHrEOXafv/nIbQoN6PVqkt9hsrqqyMH/wcI+kJmidWRCiGLKwdqBiN4RRPSOwMHaQetwxCMocGIXHh7ODz/8QNeuXUlNTTXuz8rKIiIiwqTBlQipN2DDOPj+CTj4m7riQLX2MGwndJ8JHhVMerp2wX48W78MigJjFsdwO016eoqtBoOhzwL1Nv3ZzeqkipREraMSQhRDOp0OD3sPPOw9pHJCMVeoOnabN28mMTGRJ598kgsXLpg4pBIi445atmRqHdg9DXKz1IHxgzdB34XgU6vITv1hp1qUL+1Iwu0M3l15BEXGaBVf1drBoLXg6AmJh+GX1nD9lNZRCSGE0EihEjs/Pz8iIiIIDg6mQYMGhIeHmzgsC5adAbt+UBO6iImQdRf8QuD55TBwDQQ2LPIQnOysmdKnLlZ6HX8cvsLyA5eL/JyiCAXUgyGbwKMS3I5TZ1Ff2Kl1VEKIYiQrN4vPdn/GZ7s/IytXitkXZwVO7O510drZ2bFgwQJGjRpF27ZtmTZtmsmDsyi5ObB/rnrL9c/3ID0JSleBXnPhpXC1EO1j7P4OCXTn9bAqAIxfdZSLN1P/4xXCrHlUVHt7yzRUVyL5X1c4+rvWUQkhiokcQw6LTy1m8anFsqRYMVfgxO6ft+3ef/995s+fzzfffGOyoCyKwQBHl6uTItaMhDuXwTVAXej91d1Qq+tjTej+blhoZRqUL0VqVi6vL44hJ1dKoBRrTqVh4Gqo0Um9tb/sRdj5nZRDEUKIEqTAiV1sbCyenp559vXo0YPdu3cza9YskwVW7CkKnNkMM1vAshfg5llwLA1tvoDXDsATA8CqwCu6mZSVXse3vUNwsbPmQFwyP2w7q2k8wgRsHNRe4EbD1MebPoD1b6nL0QkhhLB4Bc4sHrZcWFBQEEFBQY8ckEWIi4YtH8PF/x/nZOsCT42AJ18Fe1dtY/uHMqUc+axbEKMWxfDdljM0q+JJvXIeWoclHoXeCtp9qa5WsfFd2DMT7iRA95/B1lHr6IQQQhShfPfYde/ePV9bQURGRtKpUyf8/f3R6XSsXLkyz/ODBg1Cp9Pl2dq2bVugczxWV4/Bgj4w6xk1qbOyg8Yj1NUiQt8xu6Tuni4hAXSrG4BBgdGLY0jJkBIoFqHxcOg1R/09PLkW5nVWy+sIIYSFu3z5Ms8//zylS5fGwcGB4OBg9u3bZ3xeURTGjx+Pn58fDg4OhIWFcebMmTxtJCUl0a9fP1xdXXF3d2fw4MHcvWv+S3LmO7Fzc3PLs/3xxx/o9fr79hdEamoqderU4ccff3zoMW3btuXKlSvGbeHChQU6R5G6fVldy/Xibvh9KExvAqfXq0Vj6/aHkQegzefq2Ccz93GXWpQp5UB8Ujofrj6mdTjCVGp1gwGrwN5dXZru19Zw85zWUQkhRJG5desWTZo0wcbGhvXr13P8+HG++eYbSpX6a+WmSZMm8d133zFjxgyio6NxcnKiTZs2ZGRkGI/p168fx44dY9OmTaxdu5bIyEheeuklk8YaFxfH9u3b2bhxIwcOHCAzM/OR29QphSxi5uLiwqFDh0y2LqxOp2PFihV07drVuG/QoEEkJyff15NXEJcuXSIwMJD4+HjKlCnz6IHec2AerBmlFhT+u5pd4en3wbOK6c71mOy7kMSzP0VhUOC7vnXpXMdf65CEqVw/DfN7QHKcOtaz72IIbKB1VEIIM5GWnUajBY0AiH4uGkcb8xq2UZBr+TvvvMPOnTvZvn37A59XFAV/f3/eeOMN3nzzTQBu376Nj48Pc+bMoU+fPpw4cYKaNWuyd+9e6tevD8CGDRto3749ly5dwt+/8NfHCxcuMH36dBYtWsSlS5fyTEq1tbWlWbNmvPTSS/To0QO9vuBV6QpVx+5xCg8Px9vbm2rVqjFs2DBu3vz3ZbAyMzO5c+eOcUtJKYJllm5fhtUj70/qnlsCz84tlkkdQP3yHoxoWRmA91Yc4XJyusYRCZPxqgqDN6s1E9NuwtxOcPIPraMSQpgJe2t7NvTYwIYeG7C3ttc6nIdKSUnJc41/UA/X6tWrqV+/Pr169cLb25u6devy888/G5+PjY0lMTGRsLAw4z43NzcaNWpEVFQUAFFRUbi7uxuTOoCwsDD0ej3R0dGFjn/kyJHUqVOH2NhYPvvsM44fP87t27fJysoiMTGRdevW0bRpU8aPH0/t2rXZu3dvgc9h1old27ZtmTdvHlu2bGHixIlERETQrl07cnMfPsNvwoQJeW4N16xZ0/SBJZ0DHtDRaWZ/4RTGa62qEBLoTkpGDq8vjiHXIKUyLIaLDwz6A6o8AznpsKgf7Pn5v18nhLB4ep2eAOcAApwD0OvMNzWoWbNmnmv8hAkT7jvm/PnzTJ8+nSpVqrBx40aGDRvGyJEjmTt3LgCJierSiz4+eddg9/HxMT6XmJiIt7d3nuetra3x8PAwHlMYTk5OnD9/niVLltC/f3+qVauGi4sL1tbWeHt78/TTT/Phhx9y4sQJvv76a+Lj4wt8Dm3rbfyHPn36GL8ODg6mdu3aVKpUifDwcFq1avXA14wbN44xY8YYH1++fNn0yZ1HJXUc3d977HRWapHYYs7GSs/UPiG0n7qdPbFJzIg4x/D/78UTFsDOGfoshD/GwIG5sO5N9fZs2MdQiC5/IYR4nI4fP05AQIDxsZ2d3X3HGAwG6tevzxdffAFA3bp1OXr0KDNmzGDgwIGPLdYHeVAi+jCFnSya78Ru9erVeR4bDAa2bNnC0aNH8+zv3LlzoQLJj4oVK+Lp6cnZs2cfmtjZ2dnl+UHfuXPH9IG4BUCnqbBmNCi5alLXaYq63wKUK+3ER51rMXbZYb7ddJpmVTypXcZd67CEqVhZq7+/7oGw9TPY9Z1aOLvrdLC+/0NSCGH5snOz+e7gdwCMrDsSGysbjSN6MBcXF1xd/73ChJ+f330dOjVq1OD339XVeHx9fQG4evUqfn5+xmOuXr1KSEiI8Zhr167laSMnJ4ekpCTj6wvrww8/pFWrVjz55JPY2to+UlsPku/E7u+TGu55+eWX8zzW6XT/epv0UV26dImbN2/m+UFo5okBUKkVJJ1Xe+osJKm7p2e9MoSfus4fR64walEMf4xsiqOtWXfwioLQ6aD5WHALhFXD1eXHUhKhz3xwKPXfrxdCWJRsQzZzjs0BYFidYWab2OVHkyZNOHXqVJ59p0+fNtbhrVChAr6+vmzZssWYyN25c4fo6GiGDVOLuzdu3Jjk5GT2799PvXr1ANi6dSsGg4FGjRo9Unzz5s3j008/xd7ensaNG9OyZUtatmxJo0aNsLZ+9Otsvu+9GAyG/9wKmtTdvXuXmJgYYmJiAHVAY0xMDHFxcdy9e5exY8eye/duLly4wJYtW+jSpQuVK1emTZs2BTpPkXELgArNLC6pAzVJ/7xbEH5u9sTeSOXTtce1DkkUhTp9oN8ytYj2xZ3waxv11qwQQhRTr7/+Ort37+aLL77g7NmzLFiwgJkzZzJ8+HBAvb6NHj2azz77jNWrV3PkyBEGDBiAv7+/sROrRo0atG3blqFDh7Jnzx527tzJiBEj6NOnzyPNiAU11zl//jw//vgjZcqU4ZdffqFZs2aUKlWKtm3bMnHiRPbs2VP4Eyga2rZtm4I6CyHPNnDgQCUtLU155plnFC8vL8XGxkYpV66cMnToUCUxMbFA54iPj1cAJT4+vojehWXbefa6Uv6dtUq5t9cq649c0TocUVSuHFGUr6sryoeuivJVFUVJiNE6IiHEY5SalaoEzQlSguYEKalZqVqHc5+CXsvXrFmjBAUFKXZ2dkr16tWVmTNn5nneYDAoH3zwgeLj46PY2dkprVq1Uk6dOpXnmJs3byp9+/ZVnJ2dFVdXV+WFF15QUlJSTPae/u78+fPKr7/+qvTv319xdXVVrKysCt1WvuvYRUZG5itRbN68eeEyzCJSZHXsSpAv159kRsQ53B1t2Di6OT6u5jsVXjyC25dhfk+4dhxsndXSPZXD/vt1Qohiz5Lq2BU3Fy9eJDw8nK1btxIREcG1a9d48skn2bp1a6Hay/fN3NDQUHQ6HQAPywWLeoyd0MaY1lXZcfY6Ry/f4Y0lh5j3YkP0ep3WYQlTcwuAFzfA4ufVFVXmP6tOsniiv9aRCSGExYiLiyM8PJxt27YRHh7OjRs3eOqpp2jRogVDhw6lYcOGjzSpIt+JXalSpXBxcWHQoEH0798fT0/PQp9UFC+21nqm9K5Lx++3s+PsDWbtjGVIs+Jf2kU8gL0b9PsdVo+Aw4vVf29fUtc61kkyL4QQj6p8+fKULVuWYcOGMWzYMOrVq4eVlZXJ2s/35IkrV64wceJEoqKiCA4OZvDgwezatQtXV9dCrxUrio/K3s580FGdPj5pwymOJdzWOCJRZKxtodtP0OwN9XHEl7BqBORmaxuXEEJYgGeffZbMzEwmTpzIZ599xpQpUzhw4MBD74YWVKHWio2Li2POnDnMnTuXzMxMBg4cyMcff2ySabqmZsn35R83RVEYOm8/m09cpbK3M2tGNMXB1nR/ZQgztG+2WsxYMUClp6HXXLD/9xpSQojix6AYOJ98HoCK7hXNbvUJS7yWnzx50ng7NiIigoyMDJo2bUqLFi0IDQ2lQYPCreddqMTuntjYWAYPHkxERATXr1/Hw8OjsE0VGUv8ZdDSzbuZtJ26nespmQxoXI5PugRpHZIoaqc3wtJBkJ0GPsHQbym4mkEtSSFEiVESruXHjx9nwYIFfP/996SmppKTk1OodgqckmdmZrJgwQLCwsIICgrC09OTP/74wyyTOmF6pZ3t+LpXHQDmRV1k28lr//EKUexVbaOuMevkBVePwC9hcO2E1lEJIUSxd/XqVRYvXsywYcPo3r07X3zxBVlZWTRr1qzQbeY7sduzZw/Dhg3D19eXr776is6dOxMfH8+SJUsKvZ6ZKJ5aVPXixSYVABi77BDXUzI1jkgUuYAnYPAmKF0Z7lxSCxnHbtc6KiGEiWTnZjMtZhrTYqaRLeNpi9SSJUt49dVXqVmzJv7+/gwcOJCjR4/y7LPPsmXLFpKTk9m2bVuh28/3rVi9Xk/ZsmUZOHCgcXmNBynKtWILoyR032ohIzuXrj/u5GRiCi2reTFrUANjORxhwdKSYGFfiN8NVrbq+rLBPbWOSgjxiKSO3eNja2tL/fr1jUuJNWnSBAcHB5O1X6DZDnFxcXz66acPfV7q2JUc9jZWTO1Tl04/7GDbqev8b/dFBjQur3VYoqg5esCAlbD8JTixGn4fDLfjocloKYcihBD5cOvWLZycnIqsfU3XihXFWzVfF8a1qw7A53+c4PTVFI0jEo+FjYM6O/ZJdd1FNn8Ef7wBBvn/L4QQ/+WfSd21a9c4evQohw8fzrMVlvnVJxHFyqCnyhN+6joRp68zcuFBVo1ogp21lECxeHo9tP0C3MrAxndh36+QcgV6/Aq25nULRwghzNH+/fsZOHAgJ06cMNaw0+l0KIrySHdA89Vjt3v37nw3mJaWxrFjxwoVjCh+dDodX/WqjYeTLScTU/hqwymtQxKPU+NX1TVlrezg1DqY2xHuXtc6KiGEMHsvvvgiVatWZdeuXZw/f57Y2Ng8/xZWvhK7/v3706ZNG5YuXUpqauoDjzl+/DjvvvsulSpVYv/+/YUOSBQ/3i72TOpRG4BfdsSy/Yxc2EuUml1g4GpwKAWX98OvYXDznNZRCSGEWTt//jyTJk2iUaNGlC9fnnLlyuXZCitfid3x48fp0KED77//Pu7u7tSqVYvWrVvTqVMnmjZtiqenJ0888QSxsbH8+eefDBgwoNABieIprKYPzz9ZFoA3lhwiKTVL44jEY1X2SbUcins5uHVBrXUXv0frqIQQwmy1atWKQ4cOmbzdAq88sW/fPnbs2MHFixdJT0/H09OTunXr0rJlS7MsUmxJU6TNXXpWLh2/386566m0qeXDjOfrSQmUkubuNVjwLCQcBGt76PEL1OikdVRCiP+Qa8jlRJJaeLyGRw2s9OY1VtoSr+U3btxg4MCBNGzYkKCgIGxsbPI8X9jycY+0pFhxYIm/DObs6OXbdJu2k+xchS+7B9OnYVmtQxKPW1YqLHsRTm8AdNBuIjR6WeuohBDFmCVey9esWUP//v25c+fOfc8V+eQJIfIrKMCNsW2qAfDxmuOcv35X44jEY2frBL3nQ/0XAQXWvwUb3wODQevIhBDCbLz22ms8//zzXLlyxaTl4ySxEyY3pGlFnqpUmvTsXEYtiiErRy7oJY6VNXSYDK0+VB9H/QC/vwjZGdrGJYR4oOzcbGYfnc3so7NlSbHH5ObNm7z++uv4+PiYtF1J7ITJ6fU6vnm2Dm4ONhy5fJspm09rHZLQgk4HzcZA959BbwPHVsD/uqnLkgkhzEq2IZvJ+yczef9ksg2S2D0O3bt3f6Q1YR9GChSLIuHn5sCX3YMZNv8A0yPO0byqF09WLK11WEILtZ8FZx9Y/DzE7YJZbaDfMihV+On8QghR3FWtWpVx48axY8cOgoOD75s8MXLkyEK1W+DJE+fPn6dixYqFOpkWLHHAZXHy1rJDLNl3CX83e9aPao6bo81/v0hYpqvHYX5PuHNZTfSeWwz+dbWOSggBpGWn0WhBIwCin4vG0ca8VpCxxGt5hQoVHvqcTqcrdJHiAt+KrVy5Mi1btuS3334jI0PGy4h/92GnWpQv7UjC7QzeXXkEC5+ELf6NT00Yshl8guDuVZjdAU7/qXVUQgihidjY2IduRb7yxN8dOHCA2rVrM2bMGHx9fXn55ZfZs0cKkYoHc7KzZkqfuljpdfxx+ArLD1zWOiShJVd/eGE9VAyF7FRY2Af2z9E6KiGEsBgFTuxCQkKYOnUqCQkJzJo1iytXrtC0aVOCgoKYPHky16/LclIir5BAd14PqwLAh6uPEXczTeOIhKbsXeG5pVCnLyi5sGYUbP0MpDdXCGHhvvzyS9LT0/N1bHR0NH/88UeBz1HoWbHW1tZ0796dpUuXMnHiRM6ePcubb75JYGAgAwYM4MqVK4VtWligYaGVaVC+FHczcxi9+CA5uVICpUSztoWu06H5W+rjyK9g5TDIkaXohBCW6/jx45QtW5ZXX32V9evX5+kMy8nJ4fDhw0ybNo2nnnqK3r174+LiUuBzFDqx27dvH6+++ip+fn5MnjyZN998k3PnzrFp0yYSEhLo0qVLYZsWFshKr+Pb3iG42FlzIC6ZH7ad1TokoTWdDp5+Dzp9BzorOLQQFvSCjNtaRyZEiWNnZcesNrOY1WYWdlZ2WodjsebNm8fmzZvJzs7mueeew9fXF1tbW1xcXLCzs6Nu3brMmjWLAQMGcPLkSZo3b17gcxR4VuzkyZOZPXs2p06don379gwZMoT27duj1/+VI166dIny5cuTk5NT4IBMzRJn0hRnq2IuM2pRDHodLH2lMfXKmd/6wkIDZzbBkoHquDufIOi3VB2PJ4QQWOa13GAwcPjwYS5evEh6ejqenp6EhITg6en5SO0WOLGrUqUKL774IoMGDcLPz++Bx2RlZbFw4UIGDhz4SMGZgiX+MhR3oxcdZGVMAoEeDqwb2QwXeymBIoCEgzD/WUi9Bq4BanLnU0vrqIQQZkCu5flX4MSuuJFfBvNzJyObdlO2czk5ne5PBDD52RCtQxLm4tZFtdbdjdNg5wq9f4OKLbSOSgiLl23IZtnpZQD0rNoTG715/cEt1/L8K/AYu9mzZ7N06dL79i9dupS5c+eaJChh2VztbZjSJwS9DpYfuMzqQwlahyTMRaly8OJGKPsUZN6B33pAxFdwLgJuS6kcIYpKdm42X0R/wRfRX8hascVcgRO7CRMmPPD+r7e3N1988YVJghKWr0F5D0a0rAzAeyuOcDk5f9O/RQng6AH9V0CtbmDIhm2fwf86w5QgODBP6+iEEMKsFTixi4uLe+AyGOXKlSMuLs4kQYmS4bVWVQgJdCclI4fXF8eQa7DoUQGiIGzsofWngO6vfYoBVr8GUdMg445moQkhhDkrcGLn7e3N4cOH79t/6NAhSpeWRd5F/tlY6ZnaJwQnWyv2xCbxU+Q5rUMS5uRWLPCAZH/jOPi6ijqL9uQfkJP52EMTQohHkZ2djbW1NUePHjV52wVO7Pr27cvIkSPZtm0bubm55ObmsnXrVkaNGkWfPn1MHqCwbOVKO/FRZ3Xm4+Q/T3P4UrK2AQnz4VEJdP/8iNKBe3nIyYDjK2HRc2qSt/o1iI0EQ64GgQohRMHY2NhQtmxZcnNN/5lV4MTu008/pVGjRrRq1QoHBwccHBx45plnePrpp2WMnSiUnvXK0CHYjxyDwqhFMaRlaV//UJgBtwDoNFUtXgzqv52/g1Ex8HIkPPUauPirBY0PzIO5neDbWrDxPbV0imVP+BdCFHPvvfce7777LklJSSZtt9DlTk6fPs2hQ4dwcHAgODiYcuXKmTQwU5Ep0sVDcloWbadsJ/FOBn0bBjKhe22tQxLm4vZlSDoPHhXVZO/vDAa4uBOOLIXjqyAj+a/nSleG4F7qVrrSYw1ZiOImLTuNRgsaARD9XDSONo4aR5SXJV7L69aty9mzZ8nOzqZcuXI4OTnlef7AgQOFalfq2AmzsevcDfr9Eo2iwIzn69E2yFfrkERxkpMJZ7eoSd6p9ZDzt5nW/nXVBC+oB7jI75UQ/5RjyGFXwi4AnvJ/Cmu9tcYR5WWJ1/KPP/74X5//8MMPC9VugRO73Nxc5syZw5YtW7h27RoGQ97F3Ldu3VqoQIqKJf4yWLIJ60/wU8R53B1t2Di6OT6u9lqHJIqjzBQ4uU5N8s5tBeXeOBYdVGiuJnk1OoGDu5ZRCiHySa7l+VfglHzUqFHMmTOHDh06EBQUhE6n++8XCZFPb7Suxs6zNzh6+Q5vLDnEvBcbotfL75goIDsXqNNb3VJvwLEVcGQZxO+G2Ah1+2MMVHlGTfKqtgEbB62jFkKUMMnJySxbtoxz584xduxYPDw8OHDgAD4+PgQEBPx3Aw9Q4B47T09P5s2bR/v27Qt1wsdNsvzi5+y1u3T8fjsZ2Qbe71CDIc0qah2SsBS3LsLR39WevGvH/9pv66L24AX3hAotwMq8bkMJUdSyDdn8cf4PADpU7CBLij0Ghw8fJiwsDDc3Ny5cuMCpU6eoWLEi77//PnFxccybV7iC7AWeFWtra0vlypULdTIh8qOytzMfdKwJwKQNpzieIMVohYmUKgfNxsCrUTBsFzR9HdwCISsFDi2A37rD5Oqw7i2I3ysza0WJkZ2bzQc7P+CDnR/IkmKPyZgxYxg0aBBnzpzB3v6vYUft27cnMjKy0O0WOLF74403mDp1KhY+50Jo7LmGZQmr4UNWroFRiw6SkS31yYSJ+dSCsI9g1GF1fdoGQ8CxNKRehz0/wa9h8F0IbPkUrp/SOlohhIXZu3cvL7/88n37AwICSExMLHS7Bb7fsGPHDrZt28b69eupVasWNjZ5u2uXL19e6GCEuEen0zGxRzBtpyZz5tpdJqw7wcddgrQOS1givR7KPqlubb+E8+HqrdoTa+HWBdj+tbr5Bv81s9bNMm4FCSG0Y2dnx50799+ROn36NF5eXoVut8CJnbu7O926dSv0CYXIr9LOdnzdqw4DZ+1hbtRFQqt507K6t9ZhCUtmZQNVWqtbVqpaNuXIMji7CRKPqNum8VCuiToer2ZXcPTQOmohRDHUuXNnPvnkE5YsWQKoHRpxcXG8/fbb9OjRo9DtSh07YfY+XnOM2Tsv4Olsy/pRzfFysdM6JFHSpCWpBZCPLIOLO/7ar7eGymFqT161dmDr9PA2hDBjUqD48bt9+zY9e/Zk3759pKSk4O/vT2JiIo0bN2bdunX3FSzOr0JN/crJySE8PJxz587x3HPP4eLiQkJCAq6urjg7OxcqECEe5u221dl19ianrqbw1rJDzBrUQMrsiMfL0QPqv6Buty/B0eXq7drEw3B6g7rZOEL1DmqSV+lptfdPCCEews3NjU2bNrFjxw4OHz7M3bt3eeKJJwgLC3ukdgvcY3fx4kXatm1LXFwcmZmZnD59mooVKzJq1CgyMzOZMWPGIwVkapaY5ZdEJxPv0PmHnWTlGPikSy0GNC6vdUhCqJMqjixTk7xbsX/td/CAWt3UJC+wkTqOTwgzJj12j19GRkae2bCmUuBPm1GjRlG/fn1u3bqFg8NfBT27devGli1bTBqcEPdU93VlXLvqAHz+xwlOX03ROCIhAK9q8PR7MPIgDNkCjV4BJ29IT4J9v8LstjC1Nmz6EBKPSvkUYbZsrWz5usXXfN3ia2ytbLUOp0Rwd3enefPmfPDBB2zdupX09PT/flE+FLjHrnTp0uzatYtq1arh4uLCoUOHqFixIhcuXKBmzZqkpaWZJDBTscQsv6RSFIVBs/cScfo61X1dWDWiCXbWVlqHJUReuTlwIVLtyTu+Wq2Rd49XDXXSRXBPKFVesxCFKG4s8Vq+Y8cOIiMjCQ8PZ9euXeTk5FC/fn1atGhBaGgorVu3LlS7Be6xMxgM5ObeX1Ps0qVLuLi4FCoIIfJDp9PxVa/aeDjZcjIxha82SG0xYYasrNUxdl2nwdgz8Ow8dVULK1u4fgK2fgpT68AvrSF6Jty9rnXEQggNNG3alHfffZc///yT5ORktm3bRuXKlZk0aRJt27YtdLsFnjzxzDPPMGXKFGbOnAmoF9u7d+/y4YcfFptlxkTx5e1iz6QetRkybx+/7IgltJo3Tat4ah2WEA9m4wA1u6hbejKcXKuOx4uNhEt71G3DO1AxVB2PV6Ojus6tEI9ZjiGHLXHqcKpWZVthrZdl9R6H06dPEx4ebtwyMzPp2LEjoaGhhW6zwLdiL126RJs2bVAUhTNnzlC/fn3OnDmDp6cnkZGReHubV50xS+y+FfD+yiP8tjsObxc7No5uTiknGRMiipGUxL9m1iYc+Gu/tb1aNiW4l1pGxVpK+4jHQyZPPH4BAQGkp6cTGhpKaGgoLVq0oHbt2o9c9aHAKXmZMmU4dOgQixYtMk7PHTx4MP369cszmUKIovRe+5pEnbvJueupvLP8MDOeryclUETx4eILjV9Vt5vn/ppZe/MMHFuhbvZuak9fcC+1ILJexpMKYUm8vLw4efIkiYmJJCYmcvXqVdLT03F0fLSkWgoUi2Lr6OXbdJu2k+xchS+7B9OnYVmtQxKi8BQFrhxSE7yjv0PKlb+ec/FTlzIL7gl+ISB/xAgTkx47bSQnJxMZGUlERAQREREcP36ckJAQWrZsyeeff16oNguc2M2bN+9fnx8wYEChAikqlvrLIFQ/RZxjwvqTONhY8cfIplT0kgLZwgIYcuHiLjXJO74SMm7/9VzpymovXnAvKF1JsxCFZZHETls3b94kPDycVatWsXDhwodOVM2PAid2pUqVyvM4OzubtLQ0bG1tcXR0JCkpqVCBFBVL/2Uo6QwGhed/jWbXuZsEB7jx+7CnsLWWYrDCguRkwtktcGSJunZtTsZfz/k/oSZ4Qd3V27tCFJIkdo/f8uXLjZMmjh8/joeHB02bNjWOt6tTp06h2i3wGLtbt27dt+/MmTMMGzaMsWPHFioIIQpLr9fxzbN1aDtlO0cu32bK5tO81ba61mEJYTrWdlC9vbplpsDJP9SevHPb1IkXCQdg47tQofn/z6ztBA7uWkcthPgPr7zyCs2bN+ell16iRYsWBAcHm6Rdk42x27dvH88//zwnT540RXMmY4lZvrjf+iNXGDb/ADodLBz6JE9WLK11SEIUrbvX1du0R5ZCfPRf+61socozapJXtY1ackWI/yA9dpbDZIVqrK2tSUhIMFVzQhRIu2A/nq1fhiX7LjFmcQzrRzXHzVEWYRcWzNkLGg5Vt1sX1AkXh5eqRZBPrlU3Wxe1By+4J1RooRZPFuIBbKxs+LTJp8avxeORm5vLypUrOXHiBAA1a9akS5cuWFkVfhZ8gXvsVq9eneexoihcuXKFH374gcDAQNavX1/oYIqCZPklR2pmDh2+286Fm2l0rO3H933rSgkUUfJcPab24h1ZBrfj/9rv5AW1uqs9eWXqy8xaUaxY4rX87NmztG/fnsuXL1OtWjUATp06RWBgIH/88QeVKhVuclSBEzu9Pu/AdJ1Oh5eXF08//TTffPMNfn5+hQqkqFjiL4N4uJj4ZHpM30WuQWHys3Xo/oT8zEUJZTCot2iPLFXr4qX/bWJbqfJ/zaz1qqZZiELklyVey9u3b4+iKMyfPx8PDw9AnR37/PPPo9fr+eOPPwrVrtSxExbnh61n+PrP0zjbWbNuZDPKljavsSJCPHa52epkiyNL1ckX2al/Pecb/P8za3uAm3xGllQ5hhx2JewC4Cn/p8xuSTFLvJY7OTmxe/fu+yZNHDp0iCZNmnD37t1CtSt1IYTFGRZamQblS3E3M4fRiw+Sk2vQOiQhtGVlA1WfgR4/w9gz0ONXqNoO9NaQeAQ2jYdva8Hs9rBvFqSZV9kqUfSycrMYvmU4w7cMJys3S+twSgQ7OztSUlLu23/37l1sbQu/TGaBU/IxY8bk+9jJkycXtHkhHpmVXsfkZ0NoP3U7B+KS+WHbWUaHVdU6LCHMg62TOpkiuKeawB1fqY7Hu7jzr23dWHWt2uBe6tq1tk5aRy2ExenYsSMvvfQSv/76Kw0bNgQgOjqaV155hc6dOxe63QIndgcPHuTgwYNkZ2cbB/udPn0aKysrnnjiCeNxMmhdaCnQw5HPugUxalEM3205Q7MqntQr56F1WEKYF0cPqP+iut2+pM6sPbJU7cU7vUHdbJygegc1yavUUu39E0I8su+++46BAwfSuHFjbGzU/1c5OTl07tyZqVOnFrrdAt+K7dSpE82bN+fSpUscOHCAAwcOEB8fT8uWLenYsSPbtm1j27ZtbN269T/bioyMpFOnTvj7+6PT6Vi5cmWe5xVFYfz48fj5+eHg4EBYWBhnzpwpaMiihOoSEkDXEH8MCoxeHENKRrbWIQlhvtzKQJNR8MoOeDUamo9VJ1lkp6qrXizoBV9XhbVj4GKUOjlDiGLgyy+/RKfTMXr0aOO+jIwMhg8fTunSpXF2dqZHjx5cvXo1z+vi4uLo0KEDjo6OeHt7M3bsWHJyckwWl7u7O6tWreLUqVMsXbqUZcuWcerUKVasWIGbm1uh2y1wYvfNN98wYcKEPEuLlSpVis8++4xvvvmmQG2lpqZSp04dfvzxxwc+P2nSJL777jtmzJhBdHQ0Tk5OtGnThoyMjAceL8Q/fdI1iAB3B+KT0nl/5VEsfK6QEKbhXR2efh9GxsCQLdDoFbVcSnoS7PsVZreFqbVh04eQeBTk/5UwU3v37uWnn36idu3aefa//vrrrFmzhqVLlxIREUFCQgLdu3c3Pp+bm0uHDh3Iyspi165dzJ07lzlz5jB+/HiTx1ilShU6depEx44dqVy58qM3qBSQs7Ozsm3btvv2b926VXF2di5oc0aAsmLFCuNjg8Gg+Pr6Kl999ZVxX3JysmJnZ6csXLgw3+3Gx8crgBIfH1/o2ETxtjf2plJx3B9KubfXKt9sPKnsPHtdSUhO0zosIYqXnGxFObtFUZa/oiifByjKh65/bT80UpSIrxQlKVY9NvmSopyPUP8VxUJqVqoSNCdICZoTpJy7cbNQbSQkpxXZ52thruUpKSlKlSpVlE2bNiktWrRQRo0apSiKmkvY2NgoS5cuNR574sQJBVCioqIURVGUdevWKXq9XklMTDQeM336dMXV1VXJzMw0zZtSFOWXX35RatWqpdja2iq2trZKrVq1lJ9//vmR2ixwj123bt144YUXWL58OZcuXeLSpUv8/vvvDB48OE+2+6hiY2NJTEwkLCzMuM/NzY1GjRoRFRVlsvMIy1e/vAcfdKgBwHdbz/Lcz9E0+XIri/fGaRyZEMWIlTVUehq6TVdn1vaaC9U7qkuYXT8BWz+FqXVgaog6w3ZuJ5gSBAfmaR25yIdl+y8Zvw77JoL/RV0gLSsn39v/oi7Q5MutZvX5Onz4cDp06JAnjwDYv38/2dnZefZXr16dsmXLGvOLqKgogoOD8fHxMR7Tpk0b7ty5w7Fjx0wS3/jx4xk1ahSdOnVi6dKlLF26lE6dOvH6668/Us9ggSdPzJgxgzfffJPnnnuO7Gx1zJK1tTWDBw/mq6++KnQg/5SYmAiQ55t67/G95x4kMzOTzMxM4+MHTSUWJc8ztXz4aM1x42ODAu8uP0rzql74uclamkIUiI0D1OqqbunJcGKNOukiNgJuxf51nGKANaOhUitwC9AmVvGfrtxO56NVJ7Fy7wKAwWDFB6uO8cGqwiUwRfn5mpKSwp07d4yP7ezssLOzu++4RYsWceDAAfbu3Xvfc4mJidja2uLu7p5n/9/zi8TExAfmH/eeM4Xp06fz888/07dvX+O+zp07U7t2bV577TU++eSTQrVb4B47R0dHpk2bxs2bN40zZJOSkpg2bRpOTtpPiZ8wYQJubm7GrWbNmlqHJMzAhZtp9+3LVRQu3Eh9wNFCiHxzcIcn+sPA1dBzzv3PK7kQt/txRyUKIPZGKgbFiuxbjcm+1Rgo/Dql96ifr/d/7j6qmjVr5rnGT5gw4b5j4uPjGTVqFPPnz8fe3t7kMZhKdnY29evXv29/vXr1HmmSRqFLS1+5coUrV67QvHlzHBwcUBTFpCVOfH19Abh69WqeZcquXr1KSEjIQ183bty4PLX2Ll++LMmdoIKnE3qd+pfk303dfIZK3s54u5jvf34hio3AhqDTqz11f7dmlLqvdi9t4hL/6kGfj3odbB7TAl+3//5sTLydQdjkiDyvt9LpKO9p+lV/jh8/TkDAX72/D+qt279/P9euXctTgi03N5fIyEh++OEHNm7cSFZWFsnJyXl67a5evWrMPXx9fdmzZ0+edu/Nmr13zKPq378/06dPv6/m78yZM+nXr1+h2y1wj93Nmzdp1aoVVatWpX379ly5cgWAwYMH88YbbxQ6kH+qUKECvr6+bNmyxbjvzp07REdH07hx44e+zs7ODldXV+Pm4uJisphE8eXn5sCE7sFY/f8fHzodWOt17I5Nou2U7fx5zDRd60KUaG4B0Gkq6P6/x0enV0umZKXA8iGwbLB661aYFT83Bz7vVhMbp/NYOZ7DSqcwoXswFb2ccbS1/s+topdzns9XK52OL7oHFckwFxcXlzzX+Acldq1ateLIkSPExMQYt/r169OvXz/j1zY2Nnnyi1OnThEXF2fMLxo3bsyRI0e4du2a8ZhNmzbh6upq0s6iX3/9laCgIIYMGcKQIUMIDg7m559/Rq/XM2bMGONWEAXusXv99dexsbEhLi6OGjVqGPf37t2bMWPGFKjkyd27dzl79qzxcWxsLDExMXh4eFC2bFlGjx7NZ599RpUqVahQoQIffPAB/v7+dO3ataBhC0HvBmVpXtWLCzfSKO/pSEpGDqMWxXDiyh1e+t9++jQI5IOONXGyM681EoUoVp4YoI6pSzoPHhXB2Qe2fwMRE+HoMvW2bLcZUKGZ1pGKv+lS14cvTswEYFXHCCqWLlhB939+vmo5dtnFxYWgoKA8+5ycnChdurRx/+DBgxkzZgweHh64urry2muv0bhxY5588kkAnnnmGWrWrEn//v2ZNGkSiYmJvP/++wwfPvyByWRhHD161NireO7cOQA8PT3x9PTk6NGjxuMKeje0wFewP//8k40bN963CG+VKlW4ePFigdrat28fLVu2ND6+l5UOHDiQOXPm8NZbb5GamspLL71EcnIyTZs2ZcOGDWZ9z1yYNz83B+MHjp8brBz+FJM3nWZm5HkW7Y1n9/mbfNs7hLplS/1HS0KIh3ILyDtZIvRtqNwKlg9VE765neCp19RaedamuUgK0/F1Ldw19u+fr+bu22+/Ra/X06NHDzIzM2nTpg3Tpk0zPm9lZcXatWsZNmwYjRs3xsnJiYEDBxZ6QsODbNu2zWRt/Z1OUQpWWdLFxYUDBw5QpUoVXFxcOHToEBUrVmTfvn20adOGmzdvFkmghXXp0iUCAwOJj4+/LxkV4p6oczd5Y0kMCbczsNLrGPl0FYa3rIS1VYFHKwghHibzLmwc91cJFN9g6P6LWhBZaCotO41GCxoBEP1cNI42ph8f9yjkWp5/Bb5qNWvWjHnz/qpLpNPpMBgMTJo0KU/vmxDFSeNKpVk/ujmd6/iTa1D4dvNpev0UxcWbMmtWCJOxc4bO30Pv+eDgoa5JO7MFRP8kq1cIYSIFTuwmTZrEzJkzadeuHVlZWbz11lsEBQURGRnJxIkTiyJGIR4LNwcbvutbl6l9QnCxs+ZgXDLtp25nyd54WYpMCFOq0RFejYLKYZCTAevfgt96QIpMYhLiURU4sQsKCuL06dM0bdqULl26kJqaSvfu3Tl48CCVKlUqihiFeKy6hASwfnQzGlbwIDUrl7d+P8yw3w6QlJqldWhCWA4XX+i3DNp/Ddb2cG4LTGusFjsWQhRagSZPZGdn07ZtW2bMmMF7771XVDEJobkypRxZOPRJft5+nm/+PMWGY4kciLvFV73q0KKql9bhCWEZdDpoOBQqNIffh0DiYVj8PNR9HtpOVG/dCiEKpEA9djY2Nhw+fLioYhHCrFjpdbzSohIrXm1CZW9nrqVkMnDWHj5afYyM7FytwxPCcnhVgyFboMloQAcHf4MZTSH+/uWgRNGw0dswpt4YxtQbg43eRutwxCMo8KzY119/HTs7O7788suiismkZCaNMIX0rFy+XH+CuVFqSZ8q3s5M6RNCLX83jSMTwsJc2AErXoHb8Wqh4+Zj1c1K6kuWZHItz78CJ3avvfYa8+bNo0qVKtSrV+++9WH/uTSG1uSXQZjStlPXGLv0MDfuZmJjpePNZ6oxtFlF9HrTLacnRImXngzrxsKRJerjgPrQfSaUlnHcJZVcy/OvwIndv5U00el0bN269ZGDMiX5ZRCmdvNuJu8sP8Km4+q6gU9W9GDysyH4uxePwpxCFBtHlsHaMZB5G2ycoO0EdWULE65LLlS5hlxOJJ0AoIZHDaz0VhpHlJdcy/MvX4nd4cOHCQoKQq8vfsVa5ZdBFAVFUViyL56P1xwnLSsXF3trPu8WTOc6/lqHJoRlSY6HlcPgwnb1cfWO0Ok7cCqtbVwWRgoUW458ZWp169blxo0bAFSsWNHsVpcQ4nHT6XT0blCWP0Y2o06gOykZOYxceJDRiw5yOz1b6/CEsBzugTBgFbT+BPQ2cHItTG8MZzZrHZkQZilfiZ27uzuxsbEAXLhwAYPBUKRBCVFcVPB0YtkrjRnVqgp6HayMSaD91O3sPi9//AhhMnoraDIKhm4Fr+pw9yrM76GOw8tO1zo6IcxKvhK7Hj160KJFCypUqIBOp6N+/fpUrFjxgZsQJY2NlZ7XW1dl6StPUdbDkcvJ6fT9eTdfrj9JVo78ESSEyfjVhpfCodEr6uM9M+GnFnDlkKZhCWFO8jV/fObMmXTv3p2zZ88ycuRIhg4diouLS1HHJkSxUq9cKdaNasana46zeF88MyLOsf3Mdab2CaGyt/x/EcIkbByg3USo0hpWvgo3TsHPreDp9+CpkWrvnhAlWL4LA7Vt2xaA/fv3M2rUKEnshHgAZztrJvasTcvqXryz/AjHEu7Q4bsdvNehBv2fLIdOZvMJYRqVw2BYFKwZqY672/yROu6u2wx1XJ4QJVSBp7nOnj1bkjoh/kPbID82jm5OsyqeZOYYGL/qGC/M2cu1lAytQxPCcjiVht6/Qecf1HIoF3fA9CZweKnWkQmhmeJXv0SIYsLH1Z65LzTko041sbXWE37qOm2nbOfPY4lahyaE5dDp4In+MGwHlGmg1rxbPgSWDVYLHYt8sdHbMKzOMIbVGSZLihVzBS5QXNxI7RthDk5fTWHUohhOXLkDQJ8GgXzQsSZOdrJMkhAmk5sD27+BiImg5IJrGfXWbIVmWkcmHpFcy/NPeuyEeAyq+riwcvhTvNy8IjodLNobT4fvtnMw7pbWoQlhOaysIfRteHEjlKoAdy7B3E6waTzkZGodnRCPhSR2QjwmdtZWjGtfg/lDGuHnZs+Fm2n0nBHF1M1nyMmVsihCmExgA3hlh7r8GArsnAq/tIJrJ7WOzGwZFANnb53l7K2zGBT5PCrOJLET4jF7qpInG0Y1p1Mdf3INCt9uPk2vn6K4eDNV69CEsBx2ztD5e+g9Hxw8IPEIzGwB0T+BZY9AKpSMnAy6re5Gt9XdyMiRSV7FmSR2QmjAzdGG7/vWZWqfEFzsrDkYl0z7qdtZsi8eCx/2KsTjVaMjvBqllkfJyYD1b8FvPSBFJjEJyySJnRAa6hISwPrRzWhYwYPUrFzeWnaYYb8d4FZqltahCWE5XHyh3zJo/zVY28O5LTCtMZxYo3VkQpicJHZCaKxMKUcWDn2St9tWx8ZKx4ZjibSZEknk6etahyaE5dDpoOFQeCkCfIMhPQkWPw+rRkDmXa2jE8JkJLETwgxY6XUMC63EilebUMnLiWspmQyYtYePVh8jIztX6/CEsBze1WHIVmgyGtDBwf/BjKYQv1fryIQwCUnshDAjQQFurH2tGQMblwNgzq4LdP5hB8cT7mgcmRAWxNoWWn8Mg9aCWyDcioVZbWDbBLUWnhDFmCR2QpgZB1srPu4SxOwXGuDpbMfpq3fp+uNOZkaew2CQiRVCmEz5pmpZlOBn1YLGEV+qCd7Nc1pHJkShSWInhJlqWc2bjaOb0bqmD1m5Br5Yd5J+v0STkJyudWhCWA4Hd+jxM/T4Fezc4PI+mNEMDswrUWVRbPQ2DKo1iEG1BsmSYsWcLCkmhJlTFIXFe+P5eM1x0rNzcbW35rNuwXSu4691aEJYluR4WPEKXNyhPq7eETp9B06ltY1LyLW8AKTHTggzp9Pp6NOwLOtGNaNOoDt3MnIYufAgoxcd5E5GttbhCWE53ANh4Gpo/QnobeDkWpjeGM5s1joyIfJNEjshiokKnk4se6Uxo1pVQa+DlTEJtJuynejzN7UOTQjLobeCJqNg6Fbwqg53r8L8HrBuLGRb7jAIg2Lg8t3LXL57WZYUK+YksROiGLGx0vN666osfeUpyno4cjk5nT4/72bihpNk5ciHsRAm41cbXgqHRq+oj/fMhJ9awJVDmoZVVDJyMmj7e1va/t5WlhQr5iSxE6IYqleuFOtGNePZ+mVQFJgefo5u03Zy9lqK1qEJYTlsHKDdRHj+d3D2gRun4OdWsGMKGKS+pDBPktgJUUw521kzqWcdZjz/BO6ONhxLuEOH73YwL+qCrDcrhClVDoNhUepkCkM2bP4Q5nZWJ1sIYWYksROimGsb5MfG0c1pVsWTzBwD41cd44U5e7mWIrdThDAZp9LQ+zfo/APYOKkzZ6c3gcNLtY5MiDwksRPCAvi42jP3hYZ82KkmttZ6wk9dp+2U7fx5LFHr0ISwHDodPNEfhu2AMg0g8zYsHwLLBkN6stbRCQFIYieExdDrdbzQpAJrX2tKDT9XklKzeOl/+xm3/DCpmbJMkhAm41ERXtgAoeNAZwVHl6m9d7HbtY5MCEnshLA0VX1cWDn8KV5uXhGdDhbuiafDd9s5GHdL69CEsBxW1hD6Dry4EUpVgDuXYG4n2DQecjK1jk6UYJLYCWGB7KytGNe+BvOHNMLPzZ4LN9PoOSOKqZvPkJMrZVGEMJnABup6s08MABTYORV+aQXXTmodWYFY663pXa03vav1xlpvrXU44hHIkmJCWLjbadm8v+ooaw4lAPBEWXe+7R1CudJOGkcmhIU5sRZWvwbpSWBtr65g0fAldWyeeCRyLc8/6bETwsK5OdrwXZ8QpvQOwcXOmgNxybSfup0l++KlLIoQplSjI7wapZZHycmA9W/B/J6QIpOYxOMjiZ0QJYBOp6Nr3QDWj25GwwoepGbl8taywwz77QC3UrO0Dk8Iy+HiC/2WQbuv1F67s5thWmM4sUbryP6VoigkZSSRlJEkf/AVc5LYCVGClCnlyMKhT/J22+rYWOnYcCyRNlMiiTx9XevQhLAcOh00egleigDfYPXW7OLnYdUIyLyrdXQPlJ6TTovFLWixuAXpOZa7Jm5JIImdECWMlV7HsNBKrHi1CZW8nLiWksmAWXv4eM0xMrJlmSQhTMa7OgzZCk1GAzo4+D+Y0RTi92odmbBgktgJUUIFBbix9rVmDGhcDoDZOy/Q+YcdHE+4o3FkQlgQa1to/TEMWgtugXArFma1gW0TIFfqSwrTk8ROiBLMwdaKT7oEMXtQAzyd7Th99S5df9zJzMhzGAwyzkYIkynfVC2LEtwLlFyI+FJN8G6e0zoyYWEksRNC0LK6NxtHN6N1TR+ycg18se4k/X6JJiFZxtoIYTIO7tDjF+j+C9i5weV9MKMZHJgHMmFBmIgkdkIIAEo72zGzfz0mdA/GwcaKqPM3aTsl0lj/TghhIrV7wbCdUK4pZKeqte8WPw+pN7WOTFgASeyEEEY6nY6+DcuyblQz6gS6cycjh9cWHuT1xTHcycjWOjwhLId7IAxcrRYx1tvAybUwvTGc2ax1ZKKYk8ROCHGfCp5OLHulMSNbVUGvgxUHL9Nuynaiz0uPghAmo7eCJqNg6Fbwqg53r8L8HrDuLch+vMMgrPXWdK7Umc6VOsuSYsWcLCkmhPhX+y/e4vXFMcQlpaHTwSstKvF6WFVsreXvQiFMJjsdNn0Ie35SH3tWgx4/g18dbeMyE3Itzz/5ZBZC/Kt65UqxblQzetUrg6LA9PBzdJ++k7PXzLPQqhDFko0DtJ8E/X4HZx+4cQp+bgU7poBB6kuK/JPETgjxn5ztrPmqVx2m93sCd0cbjl6+Q8fvt/O/qAuy/JAQplQlDIZFQfWOYMiGzR/C3M6QHF+kp1UUhbTsNNKy0+T/dDEniZ0QIt/aBfuxcXRzmlXxJCPbwAerjvHCnL1cS8nQOjQhLIdTaej9G3T+AWyc4OIOmN4EDi8tslOm56TTaEEjGi1oJEuKFXOS2AkhCsTH1Z65LzTkw041sbXWE37qOm2nbGfT8atahyaE5dDp4In+MGwHlGkAmbdh+RD4fQikJ2sdnTBjktgJIQpMr9fxQpMKrH2tKdV9XUhKzWLovH2MW36EtCxZJkkIk/GoCC9sgNBxoLOCI0vV3rvY7VpHJsyUJHZCiEKr6uPCqhFNeKl5RXQ6WLgnjg7f7SAmPlnr0ISwHFbWEPoOvLgRSlWAO5dgbifYNB5yMrWOTpgZSeyEEI/EztqKd9vXYP7gRvi52RN7I5Ue03fx3ZYz5OQatA5PCMsR2EBdb/aJAYACO6fCL63g2kmtIxNmRBI7IYRJPFXZkw2jmtOxth+5BoXJm07z7E9RxN1M0zo0ISyHnTN0/h56zwcHD0g8AjNbQPRMWW9WAJLYCSFMyM3Rhu/71mVK7xBc7Kw5EJdMu6mRLN0XLyUUhDClGh3h1SioHAY5GbB+LMzvCSmJWkcmNCaJnRDCpHQ6HV3rBrBuVDMalvcgNSuXscsO8+r8A9xKzdI6PCEsh4sv9FsG7b4Ca3s4uxmmNYYTawrclJXeitblWtO6XGus9FZFEKx4XGRJMSFEkck1KPwUeY7Jf54mx6Dg7WLH173q0Lyql9ahCWFZrp1Uy6EkHlEf1+0Pbb9Ub91aALmW55/02AkhioyVXseroZVZObwJlbycuJaSyYBZe/h4zTEysmWZJCFMxrs6DNkKTUYDOjj4P5jRFOL3ah2ZeMwksRNCFLmgADfWvtaM/k+WA2D2zgt0/mEHxxPuaByZEBbE2hZafwyD1oJrGbgVC7PaQPiXkCv1JUsKSeyEEI+Fg60Vn3YNYvagBng623L66l26/riTnyPPYzBY9IgQIR6v8k1h2E4I7gVKLoRPUBO8m+ce+pK07DSC5wYTPDeYtGyZyV6cSWInhHisWlb3ZsPo5oTV8CEr18Dn607Q75doEpJlfUohTMbBHXr8At1/ATs3uLwPZjSDA/OkLIqFk8ROCPHYeTrb8fOAekzoHoyDjRVR52/Sdkokaw4laB2aEJaldi+1965cU8hOhdWvweLnIfWm1pGJImLWid1HH32ETqfLs1WvXl3rsIQQJqDT6ejbsCzrRjWjTqA7dzJyeG3hQcYsjuFORrbW4QlhOdwDYeBqaP0J6G3g5FqY3lgtj2KBJkyYQIMGDXBxccHb25uuXbty6tSpPMdkZGQwfPhwSpcujbOzMz169ODq1at5jomLi6NDhw44Ojri7e3N2LFjyckx/7GKZp3YAdSqVYsrV64Ytx07dmgdkhDChCp4OrHslcaMfLoyeh0sP3iZdlO2syc2SevQhLAceitoMgqGbgXPanD3KvzWA9a9BdmWNQwiIiKC4cOHs3v3bjZt2kR2djbPPPMMqampxmNef/111qxZw9KlS4mIiCAhIYHu3bsbn8/NzaVDhw5kZWWxa9cu5s6dy5w5cxg/frwWb6lAzLqO3UcffcTKlSuJiYkpdBtS+0aI4mP/xSRGL44hPikdnQ6GtahEnwaBXEpOp4KnE35uDlqHKETxl50Omz6EPT+pjz2rkdblexptHQJAdMeVOJaupGGA93uUa/n169fx9vYmIiKC5s2bc/v2bby8vFiwYAE9e/YE4OTJk9SoUYOoqCiefPJJ1q9fT8eOHUlISMDHxweAGTNm8Pbbb3P9+nVsbW1N/h5Nxex77M6cOYO/vz8VK1akX79+xMXFaR2SEKKI1CvnwfpRzelVrwyKAtPCz9H8q3Ce+zmaJl9uZfFe+f8vxCOzcYD2k6Df7+DsAzdOwez2fz3/YwN1koWFuH37NgAeHh4A7N+/n+zsbMLCwozHVK9enbJlyxIVFQVAVFQUwcHBxqQOoE2bNty5c4djx449xugLzqwTu0aNGjFnzhw2bNjA9OnTiY2NpVmzZqSkpDz0NZmZmdy5c8e4/duxQgjz42xnzVe96vBFt6A8+w0KvLP8CCevSO07IUyiShgMi4JKrbBScmiWlk6ztHSslFxYMxpuX9Y6wvukpKTkucZnZmb+6/EGg4HRo0fTpEkTgoLUz5TExERsbW1xd3fPc6yPjw+JiYnGY/6e1N17/t5z5sysE7t27drRq1cvateuTZs2bVi3bh3JycksWbLkoa+ZMGECbm5uxq1mzZqPMWIhhKmU93S6b5+iQPvvtjN4zl5WxVwmLcv8BzILYdacSkOTUdgpMO3qdaZdvY6dglr/Lum81tHdp2bNmnmu8RMmTPjX44cPH87Ro0dZtGjRY4pQe9ZaB1AQ7u7uVK1albNnzz70mHHjxjFmzBjj48uXL0tyJ0QxVMHTCb1O7an7O4MCW05eY8vJazjYWNG6pg9dQvxpVsULW2uz/ltVCPNUujLo9KAY/tqnswKPitrF9BDHjx8nICDA+NjOzu6hx44YMYK1a9cSGRmZZ1yer68vWVlZJCcn5+m1u3r1Kr6+vsZj9uzZk6e9e7Nm7x1jrorVp+Ddu3c5d+4cfn5+Dz3Gzs4OV1dX4+bi4vIYIxRCmIqfmwMTugdjpdMBYKXTMbFHMJvHNGfk05UpV9qR9OxcVh9KYPDcfTT8YjPvrjhC9PmbspKFEAXhFgCdpqrJHKj/dpqi7jczLi4uea7xD0rsFEVhxIgRrFixgq1bt1KhQoU8z9erVw8bGxu2bNli3Hfq1Cni4uJo3LgxAI0bN+bIkSNcu3bNeMymTZtwdXU1+84is54V++abb9KpUyfKlStHQkICH374ITExMRw/fhwvL698tSGzYoUo3q7cTufCjTTKezrmmRWrKAqHLt1mVcxl1hy6wo27f4218XOzp1MdfzrX8aeWvyu6/08OhRAPlpadRuji5qAohLdfUqxnxb766qssWLCAVatWUa1aNeN+Nzc3HBzUz5Bhw4axbt065syZg6urK6+99hoAu3btAtRyJyEhIfj7+zNp0iQSExPp378/Q4YM4Ysvviiid2kaZp3Y9enTh8jISG7evImXlxdNmzbl888/p1Kl/P/CSWInhOXLNShEnbvJ6kOXWX80kZSMv8beVfJyoktIAJ3r+D9w3J4QQk3sGi1oBED0c9E42jhqHFFeBbmWP+wPudmzZzNo0CBALVD8xhtvsHDhQjIzM2nTpg3Tpk3Lc5v14sWLDBs2jPDwcJycnBg4cCBffvkl1tbmPYrNrBM7U5DEToiSJSM7l/BT11l96DKbT1wjK+evcUN1At3pXMefTrX98Ha11zBKIcyLJSV2JZ15p51CCFFA9jZWtA3ypW2QLykZ2Ww8dpXVhxLYceY6h+KTORSfzOd/HKdxpdJ0qRNAmyBf3BxstA5bCCFMQhI7IYTFcrG3oWe9MvSsV4brKZmsO3KFVTGXORCXzM6zN9l59ibvrzxKy+pedAkJ4Onq3tjbWGkdthBCFJokdkKIEsHLxY6BT5Vn4FPlibuZxprDCayKuczpq3fZeOwqG49dxdnOmmdq+dAlJIAmlUpjbVWsCgcIIYQkdkKIkqdsaUeGt6zM8JaVOZl4h1UxCayOSeBycjrLD1xm+YHLeDrb0iHYj84hATxR1l1m1gohigVJ7IQQJVp1X1eqt3Vl7DPVOBB3i1UxCfxx5Ao37mYxN+oic6MuUqaUA53r+NMlJIBqvlIbU1gevU5PfZ/6xq9F8SWzYoUQ4h+ycw3sPHuD1TEJbDyWSGpWrvG56r4udA7xp1NtfwI9zGvmoBCWSq7l+SeJnRBC/Iv0rFy2nLzKqpgEIk5dJyv3r/Ip9cqVokuIP+2D/fB0fvjSRkKIRyPX8vyTxE4IIfLpdlo2G45dYVVMAlHnb3Lv09NKr6NpZU+6hPjzTC1fnO1klIsQpiTX8vyTTx8hhMgnN0cbejcoS+8GZbl6J4M1hxJYfSiBw5duE3H6OhGnr2NnfYSwmj50ruNPaDUv7KylfIowf2nZabT9vS0AG3psMLsCxSL/JLETQohC8HG1Z0izigxpVpHYG6msjlHLp5y/kcofh6/wx+EruNpb0y7Ijy4h/jSqWBorvcysFebrVuYtrUMQJiCJnRBCPKIKnk6MCqvCyFaVOZZwh1Uxl1lz6AqJdzJYvC+exfvi8Xaxo1MdfzrX8ad2GTcpnyKEKBKS2AkhhInodDqCAtwICnBjXLsa7LmQxKqYBNYducK1lEx+3RHLrztiKV/akc4hAXSu409lb2etwxZCWBBJ7IQQogjo9TqerFiaJyuW5uPOtYg8fZ1VhxLYdDyRCzfT+G7LGb7bcoagAFe61AmgYx0//NwctA5bCFHMSWInhBBFzNZaT1hNH8Jq+pCamcOm41dZfSiByNPXOXr5Dkcv3+GL9SdoWN6DLiEBtA/2xd3RVuuwhRDFkCR2QgjxGDnZWdO1bgBd6waQlJrFuiNXWB2TwJ4LSUTHqtuHq4/SoqoXnUMCCKvhjaOtfFQLIfJHPi2EEEIjHk62PP9kOZ5/shyXk9PV8ikxCRy/cofNJ66x+cQ1HG2taF3Thy4h/jSr4oWNlSz3JExPr9NTq3Qt49ei+JICxUIIYWbOXE1h9aEEVsUkEJeUZtxfytGG9sF+dAkJoH65UuilfIooIeRann+S2AkhhJlSFIWY+GRWxSSw9vAVbtzNND7n72avlk8J8aemn6uUTxEWTa7l+SeJnRBCFAM5uQZ2n09iVcxlNhxNJCUzx/hcZW9nuvx/kleutJOGUQpRNORann+S2AkhRDGTkZ3L/7V373FRVXv/wD8zAzPMyP06M8pNFAQVUZRJrI4oiommleUpO2b3Hu14TtjNX6VlxzS7mMdj94SeeopOxyc1QUo44s9bWh65CEiGIgIDiCCg4iDDev4gJydQUcC58Hm/XvN6zay99t5rf1kz+8vas9dkF9dgU04lsg7XoKW1zbQsyt8dM6K0SIzUwNfFyYKtJFvS3NqMmRtnAgA2ztwIpYN1Tb3Dc3nX8eYJIiIb4+Qow5RhGkwZpkHj+Qv4vqAam3IqsPuXWuScOI2cE6fx6pZCxIZ44/YoLaYMU8PVydHSzSYrJoRA5dlK03OyXUzsiIhsmKuTI2ZFD8Cs6AE42WRAWl4lNuVW4mDZaez6pRa7fqnFixsPYUKYL2ZEaRE3xBdOjjJLN5uIegkTOyIiO+HjosC8ccGYNy4YZafO4du8Smw8WIEjNWeQUVCFjIIqOCsckDBUjRlRWsSGeMGB06cQ2RUmdkREdijAS4UFcYMwf3wIDlc1YVNOJb7NrUTF6WZs+E85NvynHN7OckyLbL/pYqS/O++sJbIDTOyIiOyYRCJBuMYV4RpXPJsQhgNl9dicU4m0fD1qz7QgZU8pUvaUwt9TidtHaDEjqj9C/Vws3Wwiuk5M7IiI+gipVIIxQZ4YE+SJJdMjsOuXWmzOqcR3BVU4UdeMddtLsG57CYaoXTAjqj+mj9BggIfK0s0momvAxI6IqA9ylEkRF+aLuDBfNLcYkVlUjc25lcgursHhqiYczjiM1zMOY3SgB2ZEaTF1uAZezgpLN5t6iUQiQYhbiOk52S7OY0dERCYN5y5g6yE9NuVU4odjp3DxDCGTSnDLYG/MiNJiUoQazgqOC9CNw3N51/GdSUREJm4qR/wxJgB/jAlAVcN5bMmrxObcSuSVNyC7+CSyi0/CyTEf8eF+uH2EFn8I84HCgdOnEFkLjtgREdFVHT15BptzK7E5pxJHa8+ayl2dHDB1uAa3R2mhC/aCTCqBvqEZx2rPIti7HzRu1vULBnQFDRVAXQngGQK49b/x618Bz+Vdx8SOiIi6TAiBgspGbMqpwObcSlQ3GkzL/FwVCPV1wa6SWggBSCXAijuHY/aYAAu2mLqi+cePcW/OmwAEvtSfhHLK60DUfV3fQM4XwNZnAdEGSKTA9DXAqLk91j6ey7uOiR0REV0XY5vA/mN12JxbgfT8KjQ0X+hQRyoBdj8/gSN31qyhAufWDIcusH2UbV/pCai6mxpIZMBf83ts5I7n8q7jlONERHRdZFIJxoZ4YcWdkdj/wkQsmhzaoU6bAO77aB8+3nkUVQ3nLdBKuqq6kvaRtp4kjEDd0Z7dJnUJb54gIqJuUzjIMCt6AFZv+xltvxvsOVZ7Fn9LK8Ly9CLogj0xI6o/bhumhrtKbpnGkjnPkPbLp5eSyIAF+wBX7dXXb6wE1sWYJ4cSGeA5sGfbSV3CETsiIuoRGjclVtw5HLJf50GTSSR4KTEcr84chpggTwgB/HC0Dov/Nx+j/5aJecn78a8D5Z1ewqUbyK0/MHXVb68lMmD6O4D3YEDe7+oP78Ht36mTyMzX7+EbKKhr+B07IiLqUfqGZpTWnkOQt8rsu3UVp5vxbW4lNuVUokjfaCqXy6S4NdQbiZEaxIf7wcXJ0RLN7tPOXTgH3Rc6AMC+aRuh8gq59o00VLRffvUcyLtiLYiXYomIqEdp3JSd3izR312JJ/4Qgif+EIKSk2eQlqdHWp4exdVNyCyqQWZRDeQOUowP9TElef04EfKN56q5vvXc+nOUzgrwHUNERDdciI8zFk4cjIUTB+Pn6iZsydNjS14ljp48i+8Lq/F9YTUUDlJMGOKLaZFaxA3xgUrOU1ZvkUgk0PbTmp6T7eKlWCIisgpCCByuakLar0le6alzpmVKRxkmhvtiWqQG48N84eTIX7voS3gu7zr++0NERFZBIpEgXOOKcI0rFk0ORUFlI9Ly25O8E3XNv47q6dFPLkN8hB+mRWpxa6g3f9KM6BIcsSMiIqsmhEB+RQO2/PqdvIrTzaZlLgoHTBrqh2mRGtw8yAdyB072YI94Lu86JnZERGQzhBA4eOK06caLqsbfJj12dXJAwlA1po3QIjbEC44yJnlddb71POZlzAMApExJgZODk2Ub9Ds8l3cdL8USEZHNkEgkGBXggVEBHnhhajj+U1bfPpKXr8fJJgO+PlCOrw+Uw0PliCnD1EgcrsVNAz3hwCTvitpEGwpOFZiek+1iYkdERDZJKpVgdJAnRgd54qVpEfixtA5peXpsPaRH7ZkWfLn/BL7cfwJe/eTtSV6kBrpgL8ikvOuT7BcTOyIisnkyqQQ3DfTCTQO9sHR6BPYfq8O3eXpkHNLj1NkW/M++MvzPvjJ4Oyswdbga0yK1GB3oASmTPLIzTOyIiMiuOMikiB3kjdhB3lg2Yyj2lpxCWp4eGQVVqD1jwH/vPY7/3nscfq4KTB2uwbRIDUb6M8kj+8DEjoiI7JajTIpbQ31wa6gPXp05DLtLapGWp8d3BVWobjQgeXcpkneXQuvm1J7kjdBixAA3TtJLNouJHRER9QlyByniwnwRF+aL5XcMw64jtdiSp8e2wmpUNpzHx7uO4eNdxzDAQ4nESA2mDddiWH9XJnlkU5jYERFRn6NwkGFiuB8mhvvh/AUjdvx8Eml5emQWVaO8vhkf7DiKD3YcRaCXConDNZgWqUW4xsWukzwPhYelm0A9gPPYERER/aq5xYjs4hpsydMj63A1zl/4beqPgd79MC1Sg8RILcLULhZsZd/Dc3nXMbEjIiLqxLmWVmQV1SAtT4/txTUwtP6W5A32dW6/XBupwSBfJnm9jefyrmNiR0REdBVnDK3IKqrGt7l6/P+fT6LF+FuSN0Tt0n65doQWwd79LNhK+8VzedcxsSMiIroGjecvYFtBNdLy9dh55CQuGH87jUZoXDFtRPuNFwFeKgu28tqcbz2P/8r8LwDAe/Hv8SfFbBhvniAiIroGrk6OuCt6AO6KHoCGcxfwXWEV0vL02P1LLQr1jSjUN2JVRjEiB7ghcbgGiZEaDPCw7iSvTbThp+qfTM/JdjGxIyIiuk5uKkfcM9of94z2R/3ZFnxXUIUteXrsKalFXnkD8sobsGLrYUT5u2NapAZTh2ugdVdautlkx5jYERER9QCPfnL8MSYAf4wJQO0ZAzIOtY/k/XDsFHJOnEbOidP4W1oRRgd6IPHXJM/P1boueZLtY2JHRETUw7ydFbj/pkDcf1MgaprOI+NQFbbk6vHj8Tr8dLwePx2vx7IthRgT5InpkRpMGaaBj4vC0s0mO8DEjoiIqBf5ujhh7tggzB0bhKqG80jP1yMtX48Dx+ux/1gd9h+rw9LNBdAFe2HaCA2mDFXDy5lJHl0fJnZEREQ3iNrNCQ/dHIyHbg5GxelmbM3X49s8PXJPnMbeo6ew9+gpLNlUgNgQLyQO1yBhqBoe/eSWbjbZECZ2REREFtDfXYlHbhmIR24ZiBN155CWr0danh75FQ3YeaQWO4/U4sWNhzBukDemRWowOUINN5Vjr7VH6cCbOuwB57EjIiKyIqW1Z01JXqG+0VTuKJPg1sE+SIzUYFKEH1ycei/JszY8l3cdEzsiIiIrVXLyDNLz9NiSp0dxdZOpXO4gxR9CfTAtUoOJ4X5wVtj3BTiey7uOiR0REZENOFLdhC15emzJq0TJybOmcoWDFHFhvpg2QoMJQ3yhkttfksdzedcxsSMiIrIhQggUVzch7deRvGO1vyV5SkcZJoT7YnqkBuPDfOHkKOvSNg1GA57a/hQAYHXcaihk1nVXLs/lXWd/aT0REZEdk0gkGKJ2xRC1K5ImhaJQ34gtee3fySurO4e0X5/3k8swMdwP0yI1uDXU54pJnrHNiJ0VO03P0bV8kKwQEzsiIiIbJZFIMFTrhqFaNzybEIb8igbTSF7F6WZszq3E5txKuCgcMCnCD4mRGtwy2AdyB6mlm069xCb+suvWrUNQUBCcnJyg0+mwf/9+SzeJiIjIqkgkEkQOcMfiqeHY9Vwcvpkfi4dvDobGzQlNhlb878EKPPzpTxj9t214+utcZBfX4IKxrcN2qhrPW6D1Pa+v5g5WP2L31VdfISkpCe+//z50Oh3eeecdJCQkoLi4GL6+vpZuHhERkdWRSCQYGeCBkQEeeGFqOA6eqMe3uXqk5+tR02TAvw6U418HyuGucsSUoWoo5K2mdePf2oEVd0Rj9pgACx5B9/Tl3MHqb57Q6XQYM2YM/vGPfwAA2tra4O/vjz//+c94/vnnr7o+v3BJRETUrq1N4MfSOqTl65GeX4XaM4b2BZIWuAxZAgBoOrwMMiiw6/k4aNysY9Liaz2Xdzd3sGVWfSm2paUFBw4cQHx8vKlMKpUiPj4ee/futWDLiIiIbI9UKoFuoBeWzRiGff9vIr54VIeJQzqOYBmFQGntOQu0sPv6eu5g1Zdia2trYTQa4efnZ1bu5+eHw4cPd7qOwWCAwWAwvW5oaAAA6PX63msoERGRDQpQAAtiPLDtQA6MzUYAQGtTLWRCAYWhHuXlzRZuYbuL5/CGhga4urqayhUKBRQK86lZrid3sCdWndhdjxUrVuCVV17pUB4TE2OB1hAREdmaxwAA0e9auBmdGDZsmNnrpUuX4uWXX7ZMY6yUVSd23t7ekMlkqK6uNiuvrq6GWq3udJ3FixcjKSnJ9Lq1tRVFRUXw9/eHVGrVV56vqKmpCRERESgsLISLi4ulm2NxjIc5xqMjxsQc42GO8ejImmPS1taGsrIyREREwMHht9Tl96N1wPXlDvbEqhM7uVyO6OhoZGVlYebMmQDa/7hZWVl48sknO12ns2HZcePG9XZTe11jY/sPQffv399sGLqvYjzMMR4dMSbmGA9zjEdH1h6TgICu3aV7PbmDPbHqxA4AkpKS8MADD2D06NGIiYnBO++8g7Nnz+LBBx+0dNOIiIjICvXl3MHqE7vZs2fj5MmTWLJkCaqqqhAVFYWMjIwOX4okIiIiAvp27mD1iR0APPnkk31i+PRKFAoFli5d2un3CfoixsMc49ERY2KO8TDHeHRkbzHpq7mD1U9QTERERERdY7u3iRIRERGRGSZ2RERERHaCiR0RERGRnWBiZ2HLly9HbGwsVCoV3N3dO60jkUg6PFJTU83qZGdnY9SoUVAoFBg0aBBSUlI6bGfdunUICgqCk5MTdDod9u/f3wtH1D1Xi0dubi7uvfde+Pv7Q6lUIjw8HGvWrDGrk52d3WnMqqqqzOrZQjyArvWRsrIyJCYmQqVSwdfXF8888wxaW1vN6thLH7nU5f7WEokEP/74IwCgtLS00+U//PCD2ba+/vprDBkyBE5OThg+fDjS09MtcUg9IigoqMPxrly50qxOXl4ebrnlFjg5OcHf3x+rVq3qsB17iElpaSkefvhhBAcHQ6lUIiQkBEuXLkVLS4tZnb7WR37P1t77dAWCLGrJkiXi7bffFklJScLNza3TOgBEcnKy0Ov1pkdzc7Np+dGjR4VKpRJJSUmisLBQrF27VshkMpGRkWGqk5qaKuRyuVi/fr0oKCgQjz76qHB3dxfV1dW9fYjX5Grx+OSTT8TChQtFdna2KCkpEZ999plQKpVi7dq1pjrbt28XAERxcbFZzIxGo6mOrcRDiKvHpLW1VQwbNkzEx8eLgwcPivT0dOHt7S0WL15sqmNPfeRSBoPB7G+s1+vFI488IoKDg0VbW5sQQohjx44JACIzM9OsXktLi2k7u3fvFjKZTKxatUoUFhaKF198UTg6Oor8/HxLHVq3BAYGimXLlpkd75kzZ0zLGxoahJ+fn5gzZ444dOiQ+PLLL4VSqRQffPCBqY69xGTr1q1i3rx54rvvvhMlJSVi06ZNwtfXVyxatMhUpy/2kUvZ4nufLo+JnZVITk6+YmL3zTffXHbdZ599VgwdOtSsbPbs2SIhIcH0OiYmRixYsMD02mg0Cq1WK1asWNGtdveWK8Xj9+bPny/i4uJMry8mdvX19Zddx9biIcTlY5Keni6kUqmoqqoylb333nvC1dVVGAwGIYR99pHOtLS0CB8fH7Fs2TJT2cWT9sGDBy+73j333CMSExPNynQ6nXj88cd7q6m9KjAwUKxevfqyy999913h4eFh6h9CCPHcc8+JsLAw02t7i8mlVq1aJYKDg02v+2IfuZQ9vPfpN7wUayMWLFgAb29vxMTEYP369RCXzFKzd+9exMfHm9VPSEjA3r17AQAtLS04cOCAWR2pVIr4+HhTHVvW0NAAT0/PDuVRUVHQaDSYNGkSdu/ebSq3t3js3bsXw4cPN5t4MyEhAY2NjSgoKDDV6Qt9ZPPmzTh16lSns8vffvvt8PX1xc0334zNmzebLbtafGzRypUr4eXlhZEjR+KNN94wuzS/d+9e3HrrrZDL5aayhIQEFBcXo76+3lTH3mJy0eU+M/paHwHs571Pv7GJCYr7umXLlmHChAlQqVT4/vvvMX/+fJw5cwYLFy4EAFRVVXWYTdvPzw+NjY1obm5GfX09jEZjp3UOHz58w46jN+zZswdfffUV0tLSTGUajQbvv/8+Ro8eDYPBgI8//hjjx4/Hvn37MGrUKNTW1tpVPC7397+47Ep17K2PfPLJJ0hISMCAAQNMZc7Oznjrrbcwbtw4SKVSbNiwATNnzsTGjRtx++23A7h8fH7/vUxbsXDhQowaNQqenp7Ys2cPFi9eDL1ej7fffhtA+/EGBwebrXNpn/Hw8LC7mFz0yy+/YO3atXjzzTdNZX2xj1xkb5+HxJsnesXzzz9/2S90X3xcyxvmpZdewrhx4zBy5Eg899xzePbZZ/HGG2/04hH0rJ6Ox0WHDh3CjBkzsHTpUkyePNlUHhYWhscffxzR0dGIjY3F+vXrERsbi9WrV/fkYXVLb8XEXlxPfMrLy/Hdd9/h4YcfNiv39vZGUlISdDodxowZg5UrV+L++++3qfcQcG0xSUpKwvjx4xEZGYknnngCb731FtauXQuDwWDho+g519NHKioqMGXKFNx999149NFHTeX20keIAI7Y9YpFixZh3rx5V6wzcODA696+TqfDq6++CoPBAIVCAbVajerqarM61dXVcHV1hVKphEwmg0wm67SOWq2+7nZ0VW/Eo7CwEBMnTsRjjz2GF1988ar1Y2JisGvXLgDtH+KWjAfQszFRq9Ud7mC7eGwXj8fa+8jvXU98kpOT4eXlZRphuRKdTodt27aZXl8uPpY49svpTp/R6XRobW1FaWkpwsLCLnu8wNX7jLXE5FrjUVlZibi4OMTGxuLDDz+86vZtsY9cD2v4PKSexcSuF/j4+MDHx6fXtp+TkwMPDw/T7/mNHTu2w23327Ztw9ixYwEAcrkc0dHRyMrKwsyZMwEAbW1tyMrKuiG/o9fT8SgoKMCECRPwwAMPYPny5V1aJycnBxqNBoDl4wH0bEzGjh2L5cuXo6amBr6+vgDa//6urq6IiIgw1bHmPvJ71xofIQSSk5Mxd+5cODo6XrX+pf0BaI9PVlYW/vrXv5rKLo2PNehOn8nJyYFUKjX1j7Fjx+KFF17AhQsXTPHatm0bwsLC4OHhYapjzTG5lnhUVFQgLi4O0dHRSE5OhlR69YtVtthHroe1vfepB1j67o2+7vjx4+LgwYPilVdeEc7OzuLgwYPi4MGDoqmpSQghxObNm8VHH30k8vPzxZEjR8S7774rVCqVWLJkiWkbF6eyeOaZZ0RRUZFYt25dp1NZKBQKkZKSIgoLC8Vjjz0m3N3dze6ktAZXi0d+fr7w8fER999/v9m0BDU1NaZtrF69WmzcuFEcOXJE5Ofni7/85S9CKpWKzMxMUx1biYcQV4/JxelOJk+eLHJyckRGRobw8fHpdLoTe+gjncnMzBQARFFRUYdlKSkp4osvvhBFRUWiqKhILF++XEilUrF+/XpTnd27dwsHBwfx5ptviqKiIrF06VKbncpiz549YvXq1SInJ0eUlJSIzz//XPj4+Ii5c+ea6pw+fVr4+fmJP/3pT+LQoUMiNTVVqFSqDtOd2ENMysvLxaBBg8TEiRNFeXm52efGRX2tj/yeLb/3qSMmdhb2wAMPCAAdHtu3bxdCtM/BFBUVJZydnUW/fv3EiBEjxPvvv282J5sQ7VN8REVFCblcLgYOHCiSk5M77Gvt2rUiICBAyOVyERMTI3744YcbcITX5mrxWLp0aafLAwMDTdt4/fXXRUhIiHBychKenp5i/Pjx4t///neHfdlCPIS4ekyEEKK0tFTcdtttQqlUCm9vb7Fo0SJx4cIFs+3YSx/pzL333itiY2M7XZaSkiLCw8OFSqUSrq6uIiYmRnz99dcd6v3zn/8UoaGhQi6Xi6FDh4q0tLTebnavOHDggNDpdMLNzU04OTmJ8PBw8dprr4nz58+b1cvNzRU333yzUCgUon///mLlypUdtmUPMUlOTu70/XPpuEZf6yOdsdX3PnUkEeKSeTOIiIiIyGbxrlgiIiIiO8HEjoiIiMhOMLEjIiIishNM7IiIiIjsBBM7IiIiIjvBxI6IiIjITjCxIyIiIrITTOyIiIiI7AQTOyLqFdnZ2ZBIJDh9+rRF9p+VlYXw8HAYjcZe28dNN92EDRs29Nr2iYiuFX95goi6bfz48YiKisI777xjKmtpaUFdXR38/PwgkUhueJuio6ORlJSEOXPm9No+tmzZgqeeegrFxcVd+mF5IqLexk8iIuoVcrkcarXaIkndrl27UFJSgrvuuqtX93PbbbehqakJW7du7dX9EBF1FRM7IuqWefPmYceOHVizZg0kEgkkEglKS0s7XIpNSUmBu7s7tmzZgrCwMKhUKsyaNQvnzp3Dp59+iqCgIHh4eGDhwoVml08NBgOefvpp9O/fH/369YNOp0N2dvYV25SamopJkybBycnJVPbyyy8jKioK69evR0BAAJydnTF//nwYjUasWrUKarUavr6+WL58uWkdIQRefvllBAQEQKFQQKvVYuHChablMpkMU6dORWpqas8Ek4iomxws3QAism1r1qzBzz//jGHDhmHZsmUAAB8fH5SWlnaoe+7cOfz9739HamoqmpqacOedd+KOO+6Au7s70tPTcfToUdx1110YN24cZs+eDQB48sknUVhYiNTUVGi1WnzzzTeYMmUK8vPzMXjw4E7btHPnTtx3330dyktKSrB161ZkZGSgpKQEs2bNwtGjRxEaGoodO3Zgz549eOihhxAfHw+dTocNGzZg9erVSE1NxdChQ1FVVYXc3FyzbcbExGDlypXdjCIRUc9gYkdE3eLm5ga5XA6VSgW1Wn3FuhcuXMB7772HkJAQAMCsWbPw2Wefobq6Gs7OzoiIiEBcXBy2b9+O2bNno6ysDMnJySgrK4NWqwUAPP3008jIyEBycjJee+21Tvdz/PhxU/1LtbW1Yf369XBxcTHtq7i4GOnp6ZBKpQgLC8Prr7+O7du3Q6fToaysDGq1GvHx8XB0dERAQABiYmLMtqnVanHixAm0tbXxe3ZEZHH8FCKiG0alUpmSOgDw8/NDUFAQnJ2dzcpqamoAAPn5+TAajQgNDYWzs7PpsWPHDpSUlFx2P83NzWaXYS8KCgqCi4uL2b4iIiLMErJL93/33XejubkZAwcOxKOPPopvvvkGra2tZttUKpVoa2uDwWC4xmgQEfU8jtgR0Q3j6Oho9loikXRa1tbWBgA4c+YMZDIZDhw4AJlMZlbv0mTw97y9vVFfX9/t/fv7+6O4uBiZmZnYtm0b5s+fjzfeeAM7duwwrVdXV4d+/fpBqVRe6dCJiG4IJnZE1G1yubxX5osbOXIkjEYjampqcMstt1zTeoWFhT3SBqVSienTp2P69OlYsGABhgwZgvz8fIwaNQoAcOjQIYwcObJH9kVE1F1M7Iio24KCgrBv3z6UlpbC2dkZnp6ePbLd0NBQzJkzB3PnzsVbb72FkSNH4uTJk8jKykJkZCQSExM7XS8hIQGffvppt/efkpICo9EInU4HlUqFzz//HEqlEoGBgaY6O3fuxOTJk7u9LyKinsDv2BFRtz399NOQyWSIiIiAj48PysrKemzbycnJmDt3LhYtWoSwsDDMnDkTP/74IwICAi67zpw5c1BQUIDi4uJu7dvd3R0fffQRxo0bh8jISGRmZuLbb7+Fl5cXAKCiogJ79uzBgw8+2K39EBH1FP7yBBHZpWeeeQaNjY344IMPem0fzz33HOrr6/Hhhx/22j6IiK4FR+yIyC698MILCAwMNN0I0Rt8fX3x6quv9tr2iYiuFUfsiIiIiOwER+yIiIiI7AQTOyIiIiI7wcSOiIiIyE4wsSMiIiKyE0zsiIiIiOwEEzsiIiIiO8HEjoiIiMhOMLEjIiIishNM7IiIiIjsBBM7IiIiIjvxf8nl5WogGk0HAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matter.show_rf_dynamics()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualize the (magnetic) trapping potential ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "During the forced RF evaporation sequence, and subsequently during the manipulation stage, the ultracold quantum matter is trapped in three dimensions by magnetic fields produced by an atom chip that forms part of the ultra-high vacuum cell walls. \n", "\n", "The trapping potential is *asymmetric*, having cylindrical symmetry with two equal high-frequency (radial) trap axes and one relatively weak axial trap frequency. The trapping frequencies of the strong- and weak-trapping axis are around 400 and 50 Hz, respectively. This arrangement gives rise to \"sausage\"- or \"cigar\"-shaped atom ensembles. \n", "\n", "Only the long-axis of the cloud has a controllable position parameter for *QuantumMatter* objects and manipulation of the atom ensemble. All positions correspond to the weak-trap axis. \n", "\n", "We can view the trapping potential energy as a function of this position:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matter.show_potential()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The curvature of this trapping potential corresponds to an oscillation frequency of around 40 Hz for atoms in the trap." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Advanced topics and discussion ##" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Time resolution ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In general, Oqtant uses milliseconds as the base unit of time, which is a natural choice for the dynamics involved. Above, the time values of the forced RF evaporation were limited to *integer* values. Again, this is a natural choice as evaporation typically takes hundreds of milliseconds and finer time resolution is not typically required. Other time quantities, i.e. the experiment *lifetime* and *time_of_flight* (and more to come in following walkthroughs), can be specified with a higher resolution of 100 *microseconds*. This improved resolution is useful for finer control of the experiment phase." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Understanding actual delivered RF power ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figures above showing the user-provided RF evaporation and shield dynamics are in some ways misleading. \n", "\n", "In the hardware implementation, the RF radiation applied to the ultracold atoms is transmitted through an RF loop optimized for a frequency of approximately 40 MHz. This allows for maximum delivered RF power at high frequencies (detunings) where the evaporation process requires more power, but it also means that the delivered RF power decays as the frequency is lowered towards the energetic trap bottom (0 frequency in Oqtant). This means that the actual delivered RF power is not what is provided in the user-defined *RfEvap* object passed to the *matter* object. \n", "\n", "To view the actual behavior of the delivered RF power, within multiplication by an arbitrary constant, you can pass the *corrected = True* option to the `show_rf_dynamics()` method: " ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "matter.show_rf_dynamics(corrected=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Peeking under the hood ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the background of OqtAPI, each *matter* and constituent object, e.g. *RfShield* and *RfEvap* objects, gets converted to a data structure that can be consumed by Oqtant QMS. This structure can be revealed using the *.model_dump()* method for each *matter* object. " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'name': 'implementation details!',\n", " 'temperature': 100.0,\n", " 'lifetime': 10,\n", " 'image': ,\n", " 'time_of_flight': 12,\n", " 'rf_evap': None,\n", " 'rf_shield': None,\n", " 'barriers': None,\n", " 'landscape': None,\n", " 'lasers': None,\n", " 'note': None,\n", " 'client': ,\n", " 'result': None,\n", " 'job_id': None,\n", " 'output': None,\n", " 'is_sim': False,\n", " 'sim': None}" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matter = qmf.create_quantum_matter(temperature=100, name=\"implementation details!\")\n", "matter.model_dump()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For advanced creation and manipulation, the data fields of a *matter* object can be accessed and/or edited programmatically using this structure, e.g. " ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'name': 'new name!',\n", " 'temperature': 250.0,\n", " 'lifetime': 10,\n", " 'image': ,\n", " 'time_of_flight': 12,\n", " 'rf_evap': None,\n", " 'rf_shield': None,\n", " 'barriers': None,\n", " 'landscape': None,\n", " 'lasers': None,\n", " 'note': None,\n", " 'client': ,\n", " 'result': None,\n", " 'job_id': None,\n", " 'output': None,\n", " 'is_sim': False,\n", " 'sim': None}" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "matter.name = \"new name!\"\n", "matter.temperature = 250\n", "matter.input.time_of_flight_ms = 20\n", "matter.model_dump()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Data limits and object data validation ###" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "All *matter* objects are validated to ensure that they contain valid parameters before being submitted to Oqtant hardware. If these rules are violated, we encounter an error indicating that the created object is not valid (a validation error).\n", "\n", "Ex: the manipulation phase lifetime is limited, target temperatures are required to be non-negative, etc. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "ename": "ValidationError", "evalue": "1 validation error for QuantumMatter\nlifetime\n Input should be less than or equal to 100 [type=less_than_equal, input_value=1000, input_type=int]\n For further information visit https://errors.pydantic.dev/2.6/v/less_than_equal", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValidationError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m invalid_matter \u001b[38;5;241m=\u001b[39m \u001b[43mqmf\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcreate_quantum_matter\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 2\u001b[0m \u001b[43m \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m100\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 3\u001b[0m \u001b[43m \u001b[49m\u001b[43mlifetime\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m1000\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;66;43;03m# too long!\u001b[39;49;00m\n\u001b[1;32m 4\u001b[0m \u001b[43m \u001b[49m\u001b[43mtime_of_flight\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m8\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 5\u001b[0m \u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mlifetime is too long!\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 6\u001b[0m \u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Documents/dev/oqtant-documentation/.venv/lib/python3.11/site-packages/oqtant/schemas/quantum_matter.py:951\u001b[0m, in \u001b[0;36mQuantumMatterFactory.create_quantum_matter\u001b[0;34m(self, name, temperature, lifetime, image, time_of_flight, rf_evap, rf_shield, barriers, landscape, lasers, note)\u001b[0m\n\u001b[1;32m 948\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m v \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 949\u001b[0m kwargs[k] \u001b[38;5;241m=\u001b[39m v\n\u001b[0;32m--> 951\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mQuantumMatter\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Documents/dev/oqtant-documentation/.venv/lib/python3.11/site-packages/pydantic/main.py:171\u001b[0m, in \u001b[0;36mBaseModel.__init__\u001b[0;34m(self, **data)\u001b[0m\n\u001b[1;32m 169\u001b[0m \u001b[38;5;66;03m# `__tracebackhide__` tells pytest and some other tools to omit this function from tracebacks\u001b[39;00m\n\u001b[1;32m 170\u001b[0m __tracebackhide__ \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[0;32m--> 171\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m__pydantic_validator__\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mvalidate_python\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdata\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mself_instance\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m)\u001b[49m\n", "\u001b[0;31mValidationError\u001b[0m: 1 validation error for QuantumMatter\nlifetime\n Input should be less than or equal to 100 [type=less_than_equal, input_value=1000, input_type=int]\n For further information visit https://errors.pydantic.dev/2.6/v/less_than_equal" ] } ], "source": [ "invalid_matter = qmf.create_quantum_matter(\n", " temperature=100,\n", " lifetime=1000, # too long!\n", " time_of_flight=8,\n", " name=\"lifetime is too long!\",\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, if we try to specify a time quantity with too high of resolution, Oqtant will prevent us from doing so by throwing an error:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "ename": "ValidationError", "evalue": "1 validation error for QuantumMatter\nlifetime\n Decimal input should have no more than 1 decimal place [type=decimal_max_places, input_value=10.01, input_type=float]\n For further information visit https://errors.pydantic.dev/2.6/v/decimal_max_places", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mValidationError\u001b[0m Traceback (most recent call last)", "Cell \u001b[0;32mIn[7], line 8\u001b[0m\n\u001b[1;32m 1\u001b[0m ok_matter \u001b[38;5;241m=\u001b[39m qmf\u001b[38;5;241m.\u001b[39mcreate_quantum_matter(\n\u001b[1;32m 2\u001b[0m temperature\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m100\u001b[39m,\n\u001b[1;32m 3\u001b[0m lifetime\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m10.1\u001b[39m, \u001b[38;5;66;03m# OK\u001b[39;00m\n\u001b[1;32m 4\u001b[0m time_of_flight\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m8\u001b[39m,\n\u001b[1;32m 5\u001b[0m name\u001b[38;5;241m=\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mall is well!\u001b[39m\u001b[38;5;124m\"\u001b[39m,\n\u001b[1;32m 6\u001b[0m )\n\u001b[0;32m----> 8\u001b[0m bad_matter \u001b[38;5;241m=\u001b[39m \u001b[43mqmf\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mcreate_quantum_matter\u001b[49m\u001b[43m(\u001b[49m\n\u001b[1;32m 9\u001b[0m \u001b[43m \u001b[49m\u001b[43mtemperature\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m100\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 10\u001b[0m \u001b[43m \u001b[49m\u001b[43mlifetime\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m10.01\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;66;43;03m# OK\u001b[39;49;00m\n\u001b[1;32m 11\u001b[0m \u001b[43m \u001b[49m\u001b[43mtime_of_flight\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;241;43m8\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 12\u001b[0m \u001b[43m \u001b[49m\u001b[43mname\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43mall is not well!\u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m,\u001b[49m\n\u001b[1;32m 13\u001b[0m \u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Documents/dev/oqtant-documentation/.venv/lib/python3.11/site-packages/oqtant/schemas/quantum_matter.py:951\u001b[0m, in \u001b[0;36mQuantumMatterFactory.create_quantum_matter\u001b[0;34m(self, name, temperature, lifetime, image, time_of_flight, rf_evap, rf_shield, barriers, landscape, lasers, note)\u001b[0m\n\u001b[1;32m 948\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m v \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 949\u001b[0m kwargs[k] \u001b[38;5;241m=\u001b[39m v\n\u001b[0;32m--> 951\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mQuantumMatter\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", "File \u001b[0;32m~/Documents/dev/oqtant-documentation/.venv/lib/python3.11/site-packages/pydantic/main.py:171\u001b[0m, in \u001b[0;36mBaseModel.__init__\u001b[0;34m(self, **data)\u001b[0m\n\u001b[1;32m 169\u001b[0m \u001b[38;5;66;03m# `__tracebackhide__` tells pytest and some other tools to omit this function from tracebacks\u001b[39;00m\n\u001b[1;32m 170\u001b[0m __tracebackhide__ \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mTrue\u001b[39;00m\n\u001b[0;32m--> 171\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m__pydantic_validator__\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mvalidate_python\u001b[49m\u001b[43m(\u001b[49m\u001b[43mdata\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mself_instance\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[43m)\u001b[49m\n", "\u001b[0;31mValidationError\u001b[0m: 1 validation error for QuantumMatter\nlifetime\n Decimal input should have no more than 1 decimal place [type=decimal_max_places, input_value=10.01, input_type=float]\n For further information visit https://errors.pydantic.dev/2.6/v/decimal_max_places" ] } ], "source": [ "ok_matter = qmf.create_quantum_matter(\n", " temperature=100,\n", " lifetime=10.1, # OK\n", " time_of_flight=8,\n", " name=\"all is well!\",\n", ")\n", "\n", "bad_matter = qmf.create_quantum_matter(\n", " temperature=100,\n", " lifetime=10.01, # OK\n", " time_of_flight=8,\n", " name=\"all is not well!\",\n", ")" ] }, { "cell_type": "code", "execution_count": null, "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": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 4 }