{ "cells": [ { "cell_type": "markdown", "source": [ "# Parameters" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "ZPGenerator is built to handle components that have many different parameters. This is particularly important once we start building new components and time-dynamic control pulses in a composable way. Let's take a look at the basic methods we can use to modify parameters to manipulate the simulation model." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 337, "outputs": [], "source": [ "from zpgenerator import *" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.748909Z", "start_time": "2024-02-08T13:01:11.532482Z" } } }, { "cell_type": "markdown", "source": [ "Components can have many parameters, and only a few could be relevant for a particular simulation. To see what parameters can be modified for a particular component, we can use the 'parameters' property to get a list of the parameter keys. As an example, let's consider a single photon source created by the Source.fock() method." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 338, "outputs": [ { "data": { "text/plain": "['decay', 'delay', 'dephasing', 'efficiency', 'resonance']" }, "execution_count": 338, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source = Source.fock(1)\n", "source.parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.832639Z", "start_time": "2024-02-08T13:01:11.540055Z" } } }, { "cell_type": "markdown", "source": [ "For a description of what these parameters mean, please see the appropriate section of [Sources](sources.ipynb)." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "## Default parameters\n", "A component must be instantiated with a set of default parameters, and these can be accessed by the 'default_parameters' property. However, all catalogue components have a set of reasonable default parameters hard-coded so that they function without needing to specify every parameter." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 339, "outputs": [ { "data": { "text/plain": "{'resonance': 0.0,\n 'dephasing': 0.0,\n 'delay': 0.0,\n 'decay': 1.0,\n 'efficiency': 1}" }, "execution_count": 339, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source.default_parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.835389Z", "start_time": "2024-02-08T13:01:11.555815Z" } } }, { "cell_type": "markdown", "source": [ "One or more default parameters can be overwritten when creating the object via a factory method. This can be done using the 'parameters' keyword." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 340, "outputs": [ { "data": { "text/plain": "{'resonance': 0.0,\n 'dephasing': 0.0,\n 'delay': 0.0,\n 'decay': 1.0,\n 'efficiency': 0.8}" }, "execution_count": 340, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source = Source.fock(1, parameters={'efficiency': 0.8})\n", "source.default_parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.843986Z", "start_time": "2024-02-08T13:01:11.565404Z" } } }, { "cell_type": "markdown", "source": [ "A component's default parameters can also be updated after instantiation using the 'update_default_parameters' method." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 341, "outputs": [ { "data": { "text/plain": "{'resonance': 0.0,\n 'dephasing': 0.0,\n 'delay': 0.5,\n 'decay': 1.0,\n 'efficiency': 0.8}" }, "execution_count": 341, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source.update_default_parameters(parameters={'delay': 0.5})\n", "source.default_parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.844092Z", "start_time": "2024-02-08T13:01:11.572519Z" } } }, { "cell_type": "markdown", "source": [ "## Modifying parameters" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "When properties of the component are simulated, the default parameters will be used automatically. For example, if we want to compute the photon statistics of our source we can use the photon_statistics() method without further specifying any parameters." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 342, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.20000\n", "1 | 0.80000\n", "2 | 0.00000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] } ], "source": [ "source.photon_statistics().display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.882470Z", "start_time": "2024-02-08T13:01:11.584404Z" } } }, { "cell_type": "markdown", "source": [ "However, in many cases, we would like to quickly check how the property changes when modifying one or more parameters. This can be done using the 'parameters' keyword for simulations methods, such as the photon_statistics() method." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 343, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.50000\n", "1 | 0.50000\n", "2 | 0.00000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] } ], "source": [ "source.photon_statistics(parameters={'efficiency': 0.5}).display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.887671Z", "start_time": "2024-02-08T13:01:11.665191Z" } } }, { "cell_type": "markdown", "source": [ "## Namespace" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Often we have multiple subcomponents composed to make a larger component, and these subcomponents may share parameter names. This can lead to unexpected parameter clashes, where a parameter is modified unintentionally. Suppose we want to add loss to our source." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 344, "outputs": [], "source": [ "source = Source.fock(1) // Circuit.loss()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.887739Z", "start_time": "2024-02-08T13:01:11.691719Z" } } }, { "cell_type": "markdown", "source": [ "If we now look at the parameters, we can see it is the same as before. In addition, the photon statistics give the result without loss because the loss component has a default transmission efficiency of 1." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 345, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['decay', 'delay', 'dephasing', 'efficiency', 'resonance']\n", "Number | Probability\n", "0 | 0.00000\n", "1 | 1.00000\n", "2 | 0.00000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] } ], "source": [ "print(source.parameters)\n", "source.photon_statistics().display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.904327Z", "start_time": "2024-02-08T13:01:11.697953Z" } } }, { "cell_type": "markdown", "source": [ "However, if we now simulate the photon statistics for 'efficiency' set to 0.5 we get something unexpected." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 346, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.75000\n", "1 | 0.25000\n", "2 | 0.00000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] } ], "source": [ "source.photon_statistics(parameters={'efficiency': 0.5}).display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.912503Z", "start_time": "2024-02-08T13:01:11.729768Z" } } }, { "cell_type": "markdown", "source": [ "The probability of getting a single photon is half of what we expect. This is because modifying the 'efficiency' parameter will modify the efficiency of both the source _and_ the loss component. One solution might be to make sure all components have unique parameter names, but this 'bug' of modifying multiple parameters simultaneously is actually an extremely convenient feature. For example, we may want to modify all the widths of pulses in the same pulse sequence, or modify all the resonances of a group of sources relative to a local oscillator. Thus, the more elegant solution is to ensure that components with clashing parameters are given a unique name. This can be done when instantiating a component using the 'name' keyword. This creates a hierarchy of parameter namespaces that can be manipulated easily to target individual parameters or multiple parameters simultaneously.\n", "\n", "In the case above, we are adding a loss component to a Fock source component. This means that the loss component is contained in the source's namespace along with the Fock source's parameters. If we give that loss component a name, we can now target the efficiency of just that subcomponent of the source." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 347, "outputs": [], "source": [ "source = Source.fock(1) // Circuit.loss(name='transmission')" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.917206Z", "start_time": "2024-02-08T13:01:11.758069Z" } } }, { "cell_type": "markdown", "source": [ "Now, we can see that the parameter lists two different efficiencies, one for each named component. The 'transmission' component now has a parameter 'efficiency' delimited by '/'." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 348, "outputs": [ { "data": { "text/plain": "['decay',\n 'delay',\n 'dephasing',\n 'efficiency',\n 'resonance',\n 'transmission/efficiency']" }, "execution_count": 348, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source.parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.917337Z", "start_time": "2024-02-08T13:01:11.760736Z" } } }, { "cell_type": "code", "execution_count": 349, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.50000\n", "1 | 0.50000\n", "2 | 0.00000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] } ], "source": [ "source.photon_statistics(parameters={'transmission/efficiency': 0.5}).display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.917712Z", "start_time": "2024-02-08T13:01:11.764490Z" } } }, { "cell_type": "markdown", "source": [ "However, we retain the ability to modify all efficiency parameters simultaneously." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 350, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number | Probability\n", "0 | 0.75000\n", "1 | 0.25000\n", "2 | 0.00000\n", "3 | 0.00000\n", "4 | 0.00000\n", "\n" ] } ], "source": [ "source.photon_statistics(parameters={'efficiency': 0.5}).display()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.917797Z", "start_time": "2024-02-08T13:01:11.791627Z" } } }, { "cell_type": "markdown", "source": [ "## Advanced Features" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "There are some advanced features that can be used to modify parameters. To demonstrate these features, we will use the Pulse class, see [Pulses](pulses.ipynb) for more details on how to use the Pulse class." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "### Wildcard symbol" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "To help target particular subspaces, one can use the wildcard symbol '*' to represent any namespace. For example, let's make a pulse sequence that contains two subsequences." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 351, "outputs": [], "source": [ "sequence = Pulse()\n", "subsequence_1 = Pulse(name='excitation')\n", "subsequence_2 = Pulse(name='control')\n", "\n", "sequence.add(subsequence_1)\n", "sequence.add(subsequence_2)\n", "\n", "subsequence_1.add(Pulse.gaussian(parameters={'delay': 0}), name='pulse 1')\n", "subsequence_1.add(Pulse.gaussian(parameters={'delay': 2}), name='pulse 2')\n", "subsequence_2.add(Pulse.gaussian(parameters={'delay': 1}), name='pulse 1')" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.917826Z", "start_time": "2024-02-08T13:01:11.821458Z" } } }, { "cell_type": "markdown", "source": [ "This sequence contains 3 Gaussian pulses organized into 'excitation' and 'control' subsequences. In the 'excitation' subsequence, we have two pulses 'pulse 1' and 'pulse 2'. In the 'control' subsequence we have just one pulse 'pulse 1'. Listing the parameters, we can see that already the number of parameters is significant." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 352, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['control/pulse 1/area', 'control/pulse 1/delay', 'control/pulse 1/detuning', 'control/pulse 1/phase', 'control/pulse 1/width', 'control/pulse 1/window', 'excitation/pulse 1/area', 'excitation/pulse 1/delay', 'excitation/pulse 1/detuning', 'excitation/pulse 1/phase', 'excitation/pulse 1/width', 'excitation/pulse 1/window', 'excitation/pulse 2/area', 'excitation/pulse 2/delay', 'excitation/pulse 2/detuning', 'excitation/pulse 2/phase', 'excitation/pulse 2/width', 'excitation/pulse 2/window']\n" ] }, { "data": { "text/plain": "
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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "print(sequence.parameters)\n", "sequence.plot().show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:11.993666Z", "start_time": "2024-02-08T13:01:11.877439Z" } } }, { "cell_type": "markdown", "source": [ "Suppose we want to modify the 'width' of all pulses in the 'excitation' subsequence. To do this, we can use the wildcard '*' symbol in place of either 'pulse 1' or 'pulse 2'." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 353, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sequence.plot(parameters={'excitation/*/width': 0.2}).show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.064241Z", "start_time": "2024-02-08T13:01:11.940853Z" } } }, { "cell_type": "markdown", "source": [ "### Renaming" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "For convenience, sometimes it is useful to customise the names of catalogue components." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 354, "outputs": [ { "data": { "text/plain": "['decay', 'delay', 'dephasing', 'efficiency', 'resonance']" }, "execution_count": 354, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source = Source.fock(1)\n", "source.parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.071159Z", "start_time": "2024-02-08T13:01:12.065495Z" } } }, { "cell_type": "code", "execution_count": 355, "outputs": [ { "data": { "text/plain": "['collection', 'decay', 'delay', 'dephasing', 'resonance']" }, "execution_count": 355, "metadata": {}, "output_type": "execute_result" } ], "source": [ "source.rename_parameter('efficiency', 'collection')\n", "source.parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.075159Z", "start_time": "2024-02-08T13:01:12.072269Z" } } }, { "cell_type": "markdown", "source": [ "What this really does is give the component a rule to take any parameter named 'collection' and modify it to 'efficiency' before passing it to any functions or subcomponents. Unfortunately, this means it cannot be used to avoid parameter clashes. Instead, it is always recommended to use better namespace organization to fix paramaeter clashes." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "### Parameter functions" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "Often we can have that some parameters depend on other parameters, or we wish to modify parameters automatically to perform unit conversions. This can be accomplished by creating parameter functions. There are two main types of parameter functions, a default parameter function and an overwrite parameter function. A parameter function is simply a function that takes a dictionary of parameters and returns a new dictionary, perhaps with some custom modifications to the keys and values." ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "##### Default parameter function" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "The default parameter function will take incoming parameters and set the default value of another parameter. That means, if the value of the output parameter is set when simulating the component, it will be overwritten." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 356, "outputs": [ { "data": { "text/plain": "{'width': 0.1,\n 'area': 3.141592653589793,\n 'delay': 0,\n 'detuning': 0,\n 'phase': 0,\n 'window': 6}" }, "execution_count": 356, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pulse = Pulse() // Pulse.gaussian()\n", "pulse.default_parameters" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.079379Z", "start_time": "2024-02-08T13:01:12.076689Z" } } }, { "cell_type": "code", "execution_count": 357, "outputs": [], "source": [ "pulse.create_default_parameter_function(lambda args: {'width': args['delay']/10},\n", " parameters={'delay': 0})" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.081483Z", "start_time": "2024-02-08T13:01:12.080612Z" } } }, { "cell_type": "markdown", "source": [ "With this parameter function, we have tied the 'width' parameter by default to the 'delay' parameter. Since the 'delay' is set to 0 by default, we can see that it the default 'width' also 0." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 358, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'width': 0.0, 'area': 3.141592653589793, 'delay': 0, 'detuning': 0, 'phase': 0, 'window': 6}\n" ] } ], "source": [ "print(pulse.default_parameters)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.102838Z", "start_time": "2024-02-08T13:01:12.083043Z" } } }, { "cell_type": "markdown", "source": [ "If we now update the value of 'delay', we will also update the value of 'width'." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 359, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pulse.plot(parameters={'delay': 1})\n", "pulse.plot(parameters={'delay': 3})\n", "pulse.plot(parameters={'delay': 5}).show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.229210Z", "start_time": "2024-02-08T13:01:12.157125Z" } } }, { "cell_type": "markdown", "source": [ "However, because we created a default parameter function, we can always overwrite the 'width' manually." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 360, "outputs": [ { "data": { "text/plain": "
", "image/png": 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Sn8unHgrZHa5ayg2DTIEJxxKIJ2QAGaxaisSQSD6GyBRqRSad1hLPWyLziYm7vVVjAAaZXDHIFJjW5C69kgQUu3ve2VcEGVkGglG2l8hEapAp6/2+nCNDFpDuRF+AQSZXDDIFRl167XHB4ZB6vG+R2wFn8j7cS4ZMlUlrKXV3XyKTiFDCioz+TA0yr7/+OmbOnInq6mpIkoTnnnuu0+2yLOPOO+/EoEGD4PP5MHXqVOzatcucweaJdM9ZAgBJkuD3KPdr5XlLZKZMVi1xjgxZQLqb4aXeJxQLIZ5g9TtTpgaZQCCA8ePH47e//W2Xt//iF7/Ar3/9a/zud7/Du+++C7/fj0svvRTt7e0GjzR/iCBT0sv8GEHMowlGGGTIRJmsWvIk3zgi/O2WzKO2lty9h+/Uqk0oFtJtTPkqvXcznUyfPh3Tp0/v8jZZlvHggw/ipz/9Kb71rW8BAP74xz9i4MCBeO6553D55ZcbOdS8EcgwyBQnKzLBCH9LIBNFxFlLmQQZtpbIPGprqZc9ZADA6/TCITmQkBMIxoJpzauhDpadI7Nnzx4cOnQIU6dOVa8rLy/HxIkT8fbbb3f7uHA4jJaWlk4f1CHdc5YEVmTIErJpLUW43TuZJ5PWkiRJalWGFZnMWTbIHDp0CAAwcODATtcPHDhQva0ry5cvR3l5ufpRU1Oj6zjtJt1dfQVfcmUTN8UjU2W0j0zyN2C2lshE6jlLaQQZQNlvBuB5S9mwbJDJ1uLFi9Hc3Kx+7N+/3+whWYqorIhJvL1hRYZMF48C8YjyuSeNNwXOkSELEJWVdFYtAR0tqGCMQSZTlg0yVVVVAICvvvqq0/VfffWVeltXvF4vysrKOn1QBzHXxefhHBmyidRAklaQSVZtuJSVTCQCiai09IatpexZNsiMGDECVVVVWL9+vXpdS0sL3n33XUyaNMnEkdmbCCTF6VZkPKIiwyBDJhGldskJOD29358VGbIAEUjSDTJsLWXP1FVLbW1t2L17t/r1nj17sG3bNvTt2xdDhw7FggULsGzZMowePRojRozAHXfcgerqasyaNcu8QdtcKNkiSjfI+DxijgxbS2QSMWnX41e2pO6Nm3NkyHxqkHGnGWSS92NrKXOmBpnNmzdjypQp6tcLFy4EAMydOxerVq3CrbfeikAggP/4j/9AU1MTvva1r+GVV15BUVGRWUO2vYBakUl31RJbS2QydaJvepMmO1YtBZTzNdIJP0Qay+SspdT7sSKTOVODzOTJkyHL3R9GKEkS7r77btx9990Gjiq/hTJsLRV7ONmXTCZ+sKexHweAlMAjA9FQxyomIgNl2lriHJnsWXaODOlDBBJf2kEm2VpiRYbMoraW0gwkqYGH7SUySdZzZNhayhiDTIERLSJ/uq2l5P1CDDJkFrH6KN3dTh2OlHky3N2XzKEuv06zkqguv2ZrKWMMMgUm01VLxV5O9iWTiapKuq0loKO9xDcFMgmXXxuHQabAZNpa4vJrMp0IMpnMdeESbDKRLMuZz5HhhnhZY5ApMJlO9vWpG+KxIkMmEVWVTA7Sc/PgSDJPJBFBQk4ASH/Vkgg8oSgrMplikCkwGS+/ZkWGzJZLa4kVGTJBahjJtLXEikzmGGQKTMbLrzlHhsyWU2uJbwpkPBFGPA4PnI40f9a6OUcmWwwyBSQaTyAST5Y7M5wjE4qyIkMmUfeRSXNDPCAlyLC1RMbLdFdfgBvi5YJBpoCktofSnewr7heNy4jEErqMi6hHakUmmyDD1hIZL9OTrwHuI5MLBpkCItpKLocEjzO9//WplRtO+CVT5NJa4m+3ZAJRVUl3fgzA1lIuGGQKSOrSaynN82fcTgc8LuWvCXf3JVOwtUQ2k+nSa4CtpVwwyBSQTDfDE8T9Q6zIkBlST79Ol5utJTJPprv6Ah2hJ5KIIJqI6jKufMUgU0AyPZ5AEPcPhFmRIRNwQzyymawqMimhh+2lzDDIFJBMd/UVOg6OZEWGTCDOWsqqtcQgQ8bL9HgCAHA73HBJYpUog0wmGGQKSKZ7yAjFXh4cSSbK9PRroGMXYAYZMkE2FRlJktTl2ly5lBkGmQIiJuv6MmwtFbtFRYZBhkwQyfD0a6Aj9DDIkAnEhN1Mll8DXIKdLQaZAiIm6/ozrMj4k7v7Brm7LxlNllNaS1x+TfaQTUUGSDkBm62ljDDIFJCgWpHJdI4Mz1sik8TCQPLwvexaS1x+TcbLOsjwBOysMMgUkFyXX3NDPDJcakUlk8m+braWyDwiiGSy/BpgaylbDDIFJKi2ljKcIyOWX7MiQ0YTFRWnF3Bm8PeWq5bIRGwtGYtBpoBk21oSc2S4aokMl82KJaCjtRQNAgmeEUbGEkGErSVjMMgUkKyXX6sb4rG1RAaLZrFiCei8CzAn/JLBsjk0MvX+3BAvMwwyBSSgboiXaWtJzJFhRYYMFslixRIAuH0ApM7PQWQQdUM8d2YVGXWODMN3RhhkCkjHEQWc7Es2kW1rSZJSlmAzyJCxcl21xIpMZhhkCki2rSW/l5N9ySTZHE8gcMIvmSTXyb6cI5MZBpkCku3Ovj5WZMgs6q6+WQQZLsEmk2Q7R4atpewwyBSQrHf2FRvi8fRrMlq2rSWAm+KRKRJyghviGYxBpoBkv7MvT78mk7C1RDbTHmtXP8+6tcSKTEYYZApIxxwZrloim1ArMtkEGdFa4psCGUdUUyRIKHIVZfRYEXw42TczDDIFQpZltaKS7T4y3BCPDKfOkcmitSTmyHDVEhlIhJAiVxEcUmZvsQwy2WGQKRDhWAIJWfk84yCT3Nk3lpARiXGXVDJQTq0lMUeGFRkyTrbzYwAuv84Wg0yBSK2mZNxacncEH65cIkPlNNmXq5bIeGJ+SzZBhodGZodBpkCItpLH5YDTIWX0WJfTAY9T+avCeTJkKC2WX7O1RAZSl15nuhs1UlpLPDQyIwwyBSKU5a6+gmgvMciQodhaIpvJqbWUXLUUSUQQS7D6nS4GmQIRzHLFkiDaS2wtkaHYWiKbUc9Zyqa1lHI2E+fJpI9BpkBku4eM4OMSbDJDNIfl12wtkQmy3dUXADwOj7rSiUEmfQwyBSKY5dJrQZy3xCXYZCixKy9bS2QTYn5LNhUZSZLUAMQgkz4GmQIRzPLASMHn5u6+ZAK2lshmcpkjk/o47u6bPgaZApHtrr4Cd/clU+TUWko+hq0lMpCYI5PNqiWAm+Jlg0GmQIhKSrZzZIrZWiKjJRIdQSans5b4my0ZJ9eKDDfFyxyDTIFQW0vuLIMMW0tktNTSOltLZBOatZa4KV7aGGQKhLqPjDe31hIrMmSY1CCTzZuC2lriGwIZJ5edfVMfx4pM+hhkCoRWrSXOkSHDpK5YcmTxo0ptLQUAWdZuXEQ9yGX5derjuLtv+iwdZOLxOO644w6MGDECPp8PJ5xwAu655x7I/KGUsZBGrSVuiEeGyWXFUurj5DgQC2szJqJeqK0lN1tLRsmuz2CQn//851ixYgUef/xxnHrqqdi8eTOuvvpqlJeX48YbbzR7eLaizpHJsrXEDfHIcOpE3yyDTOoE4WgQcBflPiaiXuRakWFrKXOWDjJvvfUWvvWtb2HGjBkAgOHDh+NPf/oT3nvvPZNHZj+57iPjZ2uJjKYeGFmS3eOdLsDpBeJh5bmK+2o3NqJu5HJEAcBVS9mwdGvpvPPOw/r16/HZZ58BAD744AO8+eabmD59erePCYfDaGlp6fRBue/s27GPDFtLZBA1yGRZkUl9LFcukUG0qshwQ7z0Wboic/vtt6OlpQVjxoyB0+lEPB7Hz372M8yePbvbxyxfvhxLly41cJT2oJ61lOUcGZ+brSUyWK6tJUBpL4UauSkeGUar5desyKTP0hWZp556Cv/7v/+LJ598Elu3bsXjjz+O//qv/8Ljjz/e7WMWL16M5uZm9WP//v0Gjti6cl1+zbOWyHC5tpYAbopHhhOVlGx39uVZS5mzdEXmRz/6EW6//XZcfvnlAICxY8di3759WL58OebOndvlY7xeL7xer5HDtIVcl1+Lx3FDPDIMW0tkM7FEDNFEFEAOFRk3Vy1lytIVmWAwCMcx+0c4nU4kEgmTRmRfoRwn+3JDPDKcVq0lgK0lMkRqFYWtJeNYuiIzc+ZM/OxnP8PQoUNx6qmn4v3338evfvUrXHPNNWYPzXbE3BZ/lodGisdxjgwZRq3IZHHOksDWEhlIhA+n5ITb4c7qOdhaypylg8xvfvMb3HHHHbj++utRX1+P6upq/PCHP8Sdd95p9tBsJZGQEYomJ/vm2FoKRuJIJGQ4HJJm4yPqUi4nXwtsLZGB1PkxrmJIUnY/I7lqKXOWDjKlpaV48MEH8eCDD5o9FFsTIQbIvbUEAO2xOIqzrOwQpU2ED7aWyCZyXbGU+lhWZNJn6TkypI3UdlCRK7sgU+RyQvyCwfYSGYKtJbKZXI8nALghXjYy+rW6qakJa9aswRtvvIF9+/YhGAyif//+mDBhAi699FKcd955eo2TcpA60TfblpDDIcHndiIYiSMYjgM5rIglSgtbS2QzuW6GB3Q+a0mW5axbVIUkrYrMwYMH8e///u8YNGgQli1bhlAohNNPPx0XX3wxhgwZgr///e/4xje+gVNOOQV//vOf9R4zZSiQ466+grq7b5RLsMkAbC2RzeR6PEHqYxNyApFERJNx5bu0KjITJkzA3LlzsWXLFpxyyild3icUCuG5557Dgw8+iP3792PRokWaDpSyp+7qm3OQcQGIsLVExmBriWxGyzkyABCKhuB1cl+03qQVZD7++GNUVlb2eB+fz4crrrgCV1xxBRoaGjQZHGkjlOPSa0GtyIQZZMgAWuwjw9YSGSgUzT3IuBwueBweRBIRBGNBVKBCo9Hlr7Te2XoLMbnen/SV666+go8HR5KRtKjIsLVEGkskEohEum75xCNxDPIMwgDPALS3t2f9GsOKh6Et0oa2YBvaXdk/j9W53W44nbm9LwFZLr/euXMnfvOb3+CTTz4BAJx88smYP38+TjrppJwHRNrLdVdfQVR0UpdzE+mGrSWymEgkgj179nS7u/woeRRuG3Ub/G4/9uzZk/Xr3Dj8RsQTcYTqQ9jTkP3z2EFFRQWqqqpymtSccZB55plncPnll+Oss87CpEmTAADvvPMOTjvtNKxevRrf/va3sx4M6aPj5OvcWkvqeUtsLZER2FoiC5FlGXV1dXA6naipqTnu+BwAOBw8DF/YhwpvBfoX98/6tRzNDkQSEQz2D0ZxLmeNWZgsywgGg6ivrwcADBo0KOvnyvid7dZbb8XixYtx9913d7r+rrvuwq233sogY0GiFeT3arRqia0l0ls8CsST5Xu2lsgCYrEYgsEgqqurUVzcdbhwxpxwJBzwFnlRVFSU9Wu52l2IxWJwF7lR5Mn+eazO51PmEtXX12PAgAFZt5ky3hCvrq4Oc+bMOe76K6+8EnV1dVkNgvQV1Ki1xIMjyTCpFRRN9pFha4lyE48rP/c8Hk+390nISsvJIeW216x4vHi+fCZCYTQazfo5Mv5uT548GW+88cZx17/55pu44IILsh4I6Uer1pI4liDAIEN6E20lyQk4u3/j6JU6R4YVGdJGT3M5ZFkGADhy3DS/kIKMFhv+pfXO9vzzz6uff/Ob38Rtt92GLVu24NxzzwWgzJH5y1/+gqVLl+Y8INJeSOMN8UJsLZHeIim7+ubyg060lmIhIJEAupjXQKSVBFiRMUNaQWbWrFnHXffwww/j4Ycf7nTdvHnz8J//+Z+aDIy0o7aWcpwjk3oCNpGuohqsWAI6WkuAUuXx8mwN0k8+tpaGDx+OBQsWYMGCBWYPpVtpfbcTiURaH6KHSNaiBhm3NsuvGWRId1ocTwAALh8AqfNzEulEsyAD7YLMVVddBUmSIEkSPB4PRo0ahbvvvhuxWP5U1jP6bkejUVx88cXYtWuXXuMhHQTV1pI2y6+5aol0p7aWcgwyDkdHGOLKJdKZCB65zvtQKzLQpiIzbdo01NXVYdeuXbjllluwZMkS3H///Zo8txVkFGTcbjc+/PBDvcZCOtHurCW2lsggInS4c2wtAVy5RIbRurUkJg/nyuv1oqqqCsOGDcN1112HqVOn4vnnn8fkyZOPaxnNmjULV111VZfPI8sylixZgqFDh8Lr9aK6uho33nijens4HMaiRYswePBg+P1+TJw4ERs2bNDkz9CTjH9Fv/LKK/H73/8e9913nx7jIR2InXi12tmXQYZ0p1VFBlDm2QQOs7VEmpJl+bhdzoPhGBJyAu0RGXIi+8p1OCqjPZJAQIoi6Dn+eXxuZ05VH5/Ph4aGBni9mR1I+cwzz+CBBx7A6tWrceqpp+LQoUP44IMP1NtvuOEGfPzxx1i9ejWqq6uxZs0aTJs2Ddu3b8fo0aOzHm9vMg4ysVgMf/jDH/Dqq6/izDPPhN/f+TemX/3qV5oNjrQRCLO1RDYTaVMuc53sC3BTPNJFKBrHKXeu7ebWWg1facdx13x896VZ/TyXZRnr16/H2rVrMX/+fGzatCmjx9fW1qKqqgpTp06F2+3G0KFDcc4556i3rVy5ErW1taiurgYALFq0CK+88gpWrlyJe++9N+Pxpivj78SOHTtwxhlnAAA+++yzTrdpsR6ctKfVWUvcEI8Mox5PwNYSUa5eeOEFlJSUIBqNIpFI4N/+7d+wZMkSzJgxI6Pnueyyy/Dggw9i5MiRmDZtGv7pn/4JM2fOhMvlwvbt2xGPx3HiiSd2ekw4HNb9IOmMg8zf//53PcZBOgpq1FrihnhkGK1bSwBbS6Qpn9uJj+++VP06lohh11FlIcyYyjE5/WLfEm7FgdYvUeTyYUTF8C5fOxNTpkzBihUr4PF4UF1dDZdL+VnucDiOm4fT0w67NTU12LlzJ1599VWsW7cO119/Pe6//35s3LgRbW1tcDqd2LJly3FHDZSU6LvtQW69BrIFrSf7siJDuotqtPwaYGuJdCFJUqf2TjQuo8jjgCRJ8HvdOT13Am4UhR3wunKfEgAAfr8fo0aNOu76/v37dzpaKB6PY8eOHZgyZUq3z+Xz+TBz5kzMnDkT8+bNw5gxY7B9+3ZMmDAB8Xgc9fX1hu/yn9V3aPPmzXjqqadQW1uLSCTS6bZnn31Wk4GRNmLxBCIxZSa9P8d/ECLIROIJROMJuJ3cJZV0olZkNPhNjq0lMoBWK5ZSn0PvDfEuuugiLFy4EC+++CJOOOEE/OpXv0JTU1O391+1ahXi8TgmTpyI4uJiPPHEE/D5fBg2bBgqKysxe/ZszJkzB7/85S8xYcIEHD58GOvXr8e4ceMybmNlIuPv+OrVq3Heeefhk08+wZo1axCNRvHRRx/htddeQ3l5uR5jpBwEU2bV516R6QhCXLlEuhJtILaWyCbUIJPjOUuAcUHmmmuuwdy5czFnzhx8/etfx8iRI3usxlRUVOCxxx7D+eefj3HjxuHVV1/F3/72N3UOzMqVKzFnzhzccsstOOmkkzBr1ixs2rQJQ4cO1fXPkfGv6Pfeey8eeOABzJs3D6Wlpfjv//5vjBgxAj/84Q8xaNAgPcZIORBtIIcEeF25/QPzuBxwOSTEEjJCkTjKfbmVT4m6xdYS2YzYvE6LRS9aBplVq1Z1e5vb7e7yuKFUe/fuVT+fNWtWl0cWpT7f0qVLDT93MeN3ts8//1wtEXk8HgQCAUiShJtvvhmPPvqo5gOk3KjHE3hcmvwD4xJsMkTqoZG5YmuJDKBHa0mWZc02xctnGX/H+/Tpg9bWVgDA4MGDsWOHssa9qakJwSB/UFiNCBy5tpUEbopHhlCXX2vYWory5xPpR48gk/q81L2MW0sXXngh1q1bh7Fjx+Kyyy7DTTfdhNdeew3r1q3DxRdfrMcYKQeiteTXKMjwmAIyhDpHRoPJvqK1JDbZI9KBlkFGQkf1PIEEnNDm53e+yjjIPPTQQ2hvbwcA/OQnP4Hb7cZbb72Fb3/72/jpT3+q+QApNwF16bU2K+3ZWiJDaDrZl60l0p+mQUaS4JAcSMgJtpbSkPG7W9++fdXPHQ4Hbr/9dk0HRNoKqSdfa9ta4l4ypCu2lshmtFy1BEANMmwt9S6t73ggkNls/0zvT/oJanQ8gSAqMtzdl3Sl5WRftpbIADKUyokWFRmgY/UTg0zv0vqOjxo1Cvfdd1+nHQCPJcsy1q1bh+nTp+PXv/61ZgOk3GgdZDp292VriXQiyx1LpblqiWxCy9ZS6vMwyPQurdbShg0b8OMf/xhLlizB+PHjcdZZZ6G6uhpFRUVobGzExx9/jLfffhsulwuLFy/GD3/4Q73HTWkKRrQ5+Voo5qol0ls8AiSSQZmtJbIJETi0OjyZQSZ9ab27nXTSSXjmmWdQW1uLv/zlL3jjjTfw1ltvIRQKoV+/fpgwYQIee+wxTJ8+/bjDoshcWp2zJBSztUR6S92Bl60lsgnNKzJgkElXRr+mDx06FLfccgtuueUWvcZDGhOTcoszPC21O2wtke5E5cThBpwa7B7N1hIZQLfWEswNMsOHD8eCBQuwYMECU8fRE576l+e0nyPD1hLpTJ3oq0FbCeio6iSiQCzS832JsqTHqqXU583WVVddBUmSIEkSPB4PRo0ahbvvvhuxWP78MqrNxAmyLDXIeLWaI8MN8UhnUQ03wwM6WkviuV0ebZ6XKIWonFhxsu+0adOwcuVKhMNhvPTSS5g3bx7cbjcWL16c83NbASsyeS6o8T4y3BCPdBfR8MBIQAkujmSQZ3uJdGLlVUterxdVVVUYNmwYrrvuOkydOhXPP/88Jk+efFzLaNasWbjqqqu6fB5ZlrFkyRIMHToUXq8X1dXVuPHGG9Xbw+EwFi1ahMGDB8Pv92PixInYsGFDzuPvDSsyeU6d7KvRHBm/lxUZ0pnWrSVAaS+1N3PlEmlHljv/fYoEIcUjcETbAWhwAna0HVI0BDgCgPuYvdncxUAOq6N8Ph8aGhrg9XozetwzzzyDBx54AKtXr8app56KQ4cO4YMPPlBvv+GGG/Dxxx9j9erVqK6uxpo1azBt2jRs374do0ePznq8vWGQyXOhlNOvteBzc44M6Uy0ltwarFgS3Mkgw5VLpJVoELi3Wv1ylMZPPyD50aUfH8xqRZ8sy1i/fj3Wrl2L+fPnY9OmTRk9vra2FlVVVZg6dSrcbjeGDh2Kc845R71t5cqVqK2tRXW18n1ZtGgRXnnlFaxcuRL33ntvxuNNV1Y1sDfeeANXXnklJk2ahAMHDgAA/ud//gdvvvmmpoOj3AWj2raWOEeGdKdLRYYrl6hwvfDCCygpKUFRURGmT5+O733ve1iyZEnGz3PZZZchFAph5MiRuPbaa7FmzRp10vD27dsRj8dx4oknoqSkRP3YuHEjPv/8c43/RJ1l/Gv6M888g+9///uYPXs23n//fYTDYQBAc3Mz7r33Xrz00kuaD5KyFwxru2pJtJa4/Jp0E9FwV1+Bm+KR1tzFSmUESqXjk6OfAgBG9xkFtyP3bQMa25tQF6hDicePoaVDj3/tDEyZMgUrVqyAx+NBdXU1XC7lrd/hcBx3KGU0Gu32eWpqarBz5068+uqrWLduHa6//nrcf//92LhxI9ra2uB0OrFly5bj9pMrKdFo4n43Mg4yy5Ytw+9+9zvMmTMHq1evVq8///zzsWzZMk0HR7kL6tRa4oZ4pBu9WksAW0ukHUlSA7IsJyC7fQAAh6cUcOT+i6NDjkGO+BB3FeUc6v1+P0aNOr751b9//05HD8XjcezYsQNTpkzp9rl8Ph9mzpyJmTNnYt68eRgzZgy2b9+OCRMmIB6Po76+HhdccEFO481Uxq2lnTt34sILLzzu+vLycjQ1NWkxpk4OHDiAK6+8EpWVlfD5fBg7diw2b96s+evkK7G6SOudfXn6NemGrSWymdSVRVZctdSdiy66CC+++CJefPFFfPrpp7juuut6fB9ftWoVfv/732PHjh344osv8MQTT8Dn82HYsGE48cQTMXv2bMyZMwfPPvss9uzZg/feew/Lly/Hiy++qNufAciiIlNVVYXdu3dj+PDhna5/8803MXLkSK3GBQBobGzE+eefjylTpuDll19G//79sWvXLvTp00fT18lnoajGG+J5O5Zfy7Ks2bkiRCrR/tFq+TXA1hLpKvWcJTudtXTNNdfggw8+wJw5c+ByuXDzzTf3WI2pqKjAfffdh4ULFyIej2Ps2LH429/+hsrKSgDAypUrsWzZMtxyyy04cOAA+vXrh3PPPRf//M//rNufAcgiyFx77bW46aab8Ic//AGSJOHgwYN4++23sWjRItxxxx2aDu7nP/85ampqsHLlSvW6ESNGaPoa+SwSSyAaV/qffo0PjUzIQDiWQJFGy7qJVBGNN8QD2FoiXWm9h0zqc+UaZFatWtXtbW63Gw8//DAefvjhbu+zd+9e9fNZs2Zh1qxZPT7f0qVLsXTp0ixGmr2M391uv/12JBIJXHzxxQgGg7jwwgvh9XqxaNEizJ8/X9PBPf/887j00ktx2WWXYePGjRg8eDCuv/56XHvttZq+Tr5Kbf9o1VpK3Y8mGIkzyJD21CDD1hLZg9bHE6Q+Fw+N7F3G33VJkvCTn/wER48exY4dO/DOO+/g8OHDuOeeezQf3BdffIEVK1Zg9OjRWLt2La677jrceOONePzxx7t9TDgcRktLS6ePQiWWXrscEjwubf6BOR0SitzKc3F3X9IFW0tkM2Lljx4VGRlyL/ekrPsNHo8HpaWlKC0t1W1pVSKRwFlnnaVupDNhwgTs2LEDv/vd7zB37twuH7N8+XLDy1pWpe7qq1E1Rij2uNAejXAvGdKHHsuv2VoiHWl9zhIAda6NLMtIyAlNnzvfZPydicViuOOOO1BeXo7hw4dj+PDhKC8vx09/+tMe159nY9CgQTjllFM6XXfyySejtra228csXrwYzc3N6sf+/fs1HZOdhDQ++VoQ7SUGGdKFLhUZtpZIP3rOkUl9fupaxhWZ+fPn49lnn8UvfvELTJo0CQDw9ttvY8mSJWhoaMCKFSs0G9z555+PnTt3drrus88+w7Bhw7p9jNfrzfj8iHwlgoZWE30Fv5cHR5KO1OXX3BCP7EGvICNJEmRZPm7TOuos43e4J598EqtXr8b06dPV68aNG4eamhpcccUVmgaZm2++Geeddx7uvfdefPe738V7772HRx99FI8++qhmr5HPAhrvISP4ksFI7BpMpCnR/mFriWwidfm1liRIkCGzItOLjOOj1+s9bg8ZQFkW7fF4tBiT6uyzz8aaNWvwpz/9CaeddhruuecePPjgg5g9e7amr5Ov9GotFYvWUpRBhnTA1hLZjB4VmdTnE3NwqGsZV2RuuOEG3HPPPVi5cqXawgmHw/jZz36GG264QfMB/vM//7Pum+nkq47Jvvq0lnjeEumCrSWyGT2WXwPGbIqXDzJ+h3v//fexfv16DBkyBOPHjwcAfPDBB4hEIrj44ovxr//6r+p9n332We1GShkTQaNY471eRDAKsLVEWpPllLOWNKzIsLVEOtJj1VLq8zHI9CzjIFNRUYFvf/vbna6rqanRbECkHXGwozhWQCsiGIXYWiKtxdoB8UNb04oMW0ukHz32kUl9PjODzPDhw7FgwQIsWLDAtDH0JuMgk3pcAFlbUK85Mly1RHpJDRpsLZFN6D5HJocgc9VVV6mbyLrdbgwdOhRz5szBj3/8Y7hc2k47MEt+/CmoS2prSeM5MiIYsbVEmhNtJacXcGgYwNXWUkBpX/GwU9KQXquWtKrITJs2DStXrkQ4HMZLL72EefPmwe12Y/HixVoM03RZxcenn34a3/3ud3HuuefijDPO6PRB1qFO9tV4jowIRiFuiEdaUyf6ajg/ptPzyUA0pO1zU8HTrSKj0XlLXq8XVVVVGDZsGK677jpMnToVzz//PCZPnnxcy2jWrFm46qqrunweWZaxZMkSDB06FF6vF9XV1bjxxhvV28PhMBYtWoTBgwfD7/dj4sSJ2LBhQ05jT0fG3/Vf//rXuPrqqzFw4EC8//77OOecc1BZWYkvvvii094yZD4RNPwaz5Hxcfk16SWqw8nXQOeJw2wvkQZkWUYwGlQ+YkG0x9oRjoU7rtPgIxwPoz3WjmCs8/W5bpDn8/kQiUQyftwzzzyDBx54AI888gh27dqF5557DmPHjlVvv+GGG/D2229j9erV+PDDD3HZZZdh2rRp2LVrV07j7U3GPYeHH34Yjz76KK644gqsWrUKt956K0aOHIk777wTR48e1WOMlKWODfF02tk3zDkypLGIDiuWAKVN5fIBsZCycsnfT9vnp4ITioUw8cmJprz2u//2Loqz+DciyzLWr1+PtWvXYv78+di0aVNGj6+trUVVVRWmTp2qzrc555xz1NtWrlyJ2tpaVFdXAwAWLVqEV155BStXrlTPTNRDxhWZ2tpanHfeeQCUVNfa2goA+P73v48//elP2o6OcqJO9tVp+TXPWiLN6dVaSn1OrlyiAvPCCy+gpKQERUVFmD59Or73ve9hyZIlGT/PZZddhlAohJEjR+Laa6/FmjVrEIspv9Bu374d8XgcJ554IkpKStSPjRs34vPPP9f4T9RZxr+qV1VV4ejRoxg2bBiGDh2Kd955B+PHj8eePXt4HoTFcGdfsh11DxkNVywJbj+ABraWSBM+lw/v/tu7AIDPGj9DPBHHyIqR8Dq1O+uvob0B9YF6lHvLUV1S3em1MzFlyhSsWLECHo8H1dXV6molh8Nx3Pt2T4c/19TUYOfOnXj11Vexbt06XH/99bj//vuxceNGtLW1wel0YsuWLXA6O7/nlJRo3Co+RsZB5qKLLsLzzz+PCRMm4Oqrr8bNN9+Mp59+Gps3b+60GR6ZL6DOkdF41RJbS6QX0Vry6vCDz8NN8Ug7kiSp7R2v04uEIwG/2w+PU7ujetrj7ShyFcHj9GTVShL8fj9GjRp13PX9+/dHXV2d+nU8HseOHTswZcqUbp/L5/Nh5syZmDlzJubNm4cxY8Zg+/btmDBhAuLxOOrr63HBBRdkPdZsZPwO9+ijjyKRUGZQz5s3D5WVlXjrrbfwzW9+Ez/84Q81HyBlL5AMGlpP9i1ma4n0EtbhwEiBrSXSgSzLll+11J2LLroICxcuxIsvvogTTjgBv/rVr9DU1NTt/VetWoV4PI6JEyeiuLgYTzzxBHw+H4YNG4bKykrMnj0bc+bMwS9/+UtMmDABhw8fxvr16zFu3DjMmDFDlz8DkEWQcTgccDg6/mddfvnluPzyyzUdFGkjqPM+MtzZlzQnKjJ6BBnxGy1bS6Sh1JBht0Mjr7nmGnzwwQeYM2cOXC4Xbr755h6rMRUVFbjvvvuwcOFCxONxjB07Fn/7299QWVkJQNkwd9myZbjllltw4MAB9OvXD+eee67u5yVm9Q7X1NSE9957D/X19Wp1RpgzZ44mA6PciQ3rSrRuLakb4rG1RBoTbR9PqfbPLZZ0s7VEGlI3w0v+pyUtNsRbtWpVt7e53W48/PDDePjhh7u9z969e9XPZ82ahVmzZvX4fEuXLsXSpUuzGGn2Mn6H+9vf/obZs2ejra0NZWVlnXYylCSJQcYi4glZrZhoPtk3WeEJxxKIJ2Q4HdwllTQSYWuJ7CV1V1+r7uyb7zKug91yyy245ppr0NbWhqamJjQ2Nqof3EfGOlLPQdJ8sm9KMGJ7iTSl52RftbUU0P65qWCJkOGUtP2FEegIMlwR3LOMg8yBAwdw4403orhYh30eSDOireR0SPC6tO3bel0OiCIMVy6RpsLKvlT6VGREa4lBhrQj5q9oPT8m9TlZkelZxt/5Sy+9FJs3b9ZjLKQhsauv3+PUvNwpSRJXLpE+1Mm+esyRYWuJtKfXiiWg4xDKhJxgVaYHafUcnn/+efXzGTNm4Ec/+hE+/vhjjB07Fm63u9N9v/nNb2o7QspKx9JrfQ4493mcaAvHGGRIW3rOkWFriTRwbKDQM8g4UmoNMmTNJxNbgRYBLa13ua5mKd99993HXSdJEuJxvrFZgWgtaT3RV/B7nDiMznNxiHKm5/JrtpYoB2K32kgkAp+vY2fduKz8rNWztQQogUmP1zBbMKhUSI8timQirSBz7BJrsj5RkdF66bXA85ZIF2JDPC9bS2QtLpcLxcXFOHz4MNxut7qfWrg9jEQ0gYSUQHt7u+avK0dlyJARDAU13TXYbLIsIxgMor6+HhUVFccda5AJfd7lyHQBnTbDE0Slh0GGNGVIa4lBhjInSRIGDRqEPXv2YN++fer1rZFWtEZa0eZuQ8gb0vx1DwcOK3NkimW4HdlXLayqoqICVVVVOT1H2u9yb7/9NhoaGjrt0PfHP/4Rd911FwKBAGbNmoXf/OY38Hq1OzCLshfU6ZwloSPIsLVEGlJbS3qctcQN8Sg3Ho8Ho0ePRiQSUa9buWMl1uxeg38Z/S+4eszVmr/mz/7vZ6gP1OMXX/8FRvQdofnzm8ntdudUiRHSfpe7++67MXnyZDXIbN++HT/4wQ9w1VVX4eSTT8b999+P6urqrI4GJ+3pdc6SwIoMaS4eBeJh5XNuiEcW5XA4UFRUpH59JHoEdZE6wIVO12slIAdQF6lDu9Suy/Png7RnDm3btg0XX3yx+vXq1asxceJEPPbYY1i4cCF+/etf46mnntJlkJQ5MdlXv4qM8rwhBhnSSmqlRI+KjDsZjthaIg0FYkoVMZfTqXvicykTi0NR7dtW+SLtINPY2IiBAweqX2/cuBHTp09Xvz777LOxf/9+bUdHWUvdR0YP6nlLbC2RVsREX6cHcOkwqVFUedhaIg0Fk8FYryBT7FKeNxhjAO9O2kFm4MCB2LNnDwBl+dnWrVtx7rnnqre3trbmtHyKtCVaS3pP9mVFhjSj59JrgK0l0oUaZFw6V2RirMh0J+0g80//9E+4/fbb8cYbb2Dx4sUoLi7GBRdcoN7+4Ycf4oQTTtBlkJQ5Lr8m29Hz5Gugo7UUDwNxVhJJG6JS4nfrE8AZZHqX9rvcPffcg3/913/F17/+dZSUlODxxx+Hx9NR/v3DH/6ASy65RJdBUuYCyYBRrNNkXz9bS6Q1PZdeH/u80QDgLNfndaigBJI7RetVkREtqyDndnUr7SDTr18/vP7662hubkZJSclxS6b+8pe/oKREhwl6lBWxLFqvigxbS6Q5PU++BgCXF5AcgJxQ2ktFDDKUO1ZkzJfxu1x5edf/+Pv27ZvzYEg7beoRBWwtkU2Eda7ISJLSXoq0cuUSaUZUZHxuXy/3zA6DTO/y7+AGAgAEdd5Hxs8N8UhramtJx8ouVy6RhmRZVpdF+136BHC1tcRVS91ikMlT6oZ4OlVkxP40ovJDlDMjgoxoW4UZZCh3kUQEMTm5QlTn5dcBntreLQaZPBVQjyjQpyJTUiSCTFSX56cCpPfya6DjMEpWZEgDqRNwRQtIayXJYM/Jvt1jkMlDsiynHFGgT0VGTCIOsCJDWlFPvtaztSQqMq36vQYVDNHuKXIWweXQqfqdbFm1RRm+u8Mgk4ci8QRiCRmAfpN9RZBpa+ccGdKIIa2lMuUy3KLfa1DBUJde69RWAgB/skLJ1lL3GGTyUGqVRK8jCkSlJxJPIBxjVYY0wDkyZDN67+oLACVu5e8sg0z3GGTykGgreV0OuJz6/C9O3Z+G7SXShJFzZNhaIg3ofc5S6nOztdQ9Bpk8JPZ20WszPABwOiR1Uzy2l0gTem+IBzDIkKb03gwP6FyRkWVZt9exMwaZPNQmDozUacWS0LEEm0GGNCDCha77yCSfO8IgQ7nT+3gCoCPIJOQE2uPtur2OnTHI5CGxSZ1ee8gIpQwypCW1tWTEZF8GGcqdqMjo2VryuXyQIAHgPJnuMMjkITFHplinib5CR0WGe8mQBtTJvvq9KXCyL2lJPZ5Apz1kAECSJLV1xSDTNQaZPCR22y0pcuv6OiXc3Ze0pO4jU6bfa3CODGlITPYV7R+9cMJvzxhk8lBru1IhKS3St7Wk7u7Lyb6Uq0SiY94KgwzZhAgWJXq2Q5Ey4TfCikxXbBVk7rvvPkiShAULFpg9FEsTwaJUx1VLQGpFhq0lylHq5FsRNvTg4REFpJ225N8jvSsy3EumZ7YJMps2bcIjjzyCcePGmT0UyxOTb/Vcfp36/GwtUc5EhcThBlxe/V5HrchwZ1/KnajI6Ln8GmBrqTe2CDJtbW2YPXs2HnvsMfTp08fs4VheqwgyOreW/DymgLQigoy3FJAk/V4ndbIv9+SgHIkKiVEVGR4c2TVbBJl58+ZhxowZmDp1aq/3DYfDaGlp6fRRaNTWks6TfcUcnACXX1OuRJAp0nF+DNBRkZHjQDSk72tR3jNqjoyo+LAi0zV9f2XXwOrVq7F161Zs2rQprfsvX74cS5cu1XlU1qZO9jWstcQgQzkSrR4958cAgNsPQAIgK+FJz6XelPeMqshw+XXPLF2R2b9/P2666Sb87//+L4qKitJ6zOLFi9Hc3Kx+7N+/X+dRWk+bwa2lVgYZylW7CDI6V2QcjpTdffnbLeWmNTlJXe85MgwyPbN0RWbLli2or6/HGWecoV4Xj8fx+uuv46GHHkI4HIbT2XnTN6/XC69Xx8mCNtDabuxkX7aWKGepc2T05i1VVklxwi/lSK3IsLVkKksHmYsvvhjbt2/vdN3VV1+NMWPG4LbbbjsuxJDCqIpMCSf7klYMDTIlQCu4uy/lJBqPIhwPA+BkX7NZOsiUlpbitNNO63Sd3+9HZWXlcddTB1GRKTNqQzxWZChXYQM2wxO4KR5pILXNo3trycOKTE8sPUeGMifLcso+MkYdUcAgQzkyurWU+ppEWRChwufyweXQeT6ii3NkemLpikxXNmzYYPYQLK09mkA8oeyPYVhrKRyDLMuQ9Nz/g/KbUauWgJTJvgwylD0RKvSuxgAdc3AYZLrGikyeaU0eFyBJQLFb3zlEIijFEzLaowldX4vyXNigVUupr8GKDOVArFjSe34MwMm+vWGQyTNtKSuWHA59KySpQYntJcqJURviAZ139yXKklF7yAAdQYaTfbvGIJNnWg06MBIAHA6J82RIG5wjQzajnrPk0b+1lLqPTEJm9ftYDDJ5xqil1wL3kiFNMMiQzZhRkZEhIxTj0RrHYpDJM0Zthif4vc5Or0uUFSODDCf7kgaMOvkaAIqcRXBKys9aTvg9HoNMnumoyOi79FoQr8PWEuXEqCMKUl+DFRnKQVvyiAsjKjKSJHHCbw8YZPKMemCkQa0lsemeeF2ijCUSHdURI4KMmFDcziMKKHtGnXwtlHqUamUbzwg7DoNMnmkzcLIvAJQlKzItIQYZylLqD2YjWktF5cple7P+r0V5y8g5MkBHkGllS/Q4DDJ5pmNXX4OCjE95nRbOkaFsiRaPww24DDjwlUGGNCAqI0bMkQEYZHrCIJNnWg1etSQqMmwtUdZSJ/oasTu0CDLhFkCW9X89ykuGV2TcSpBpibAleiwGmTzTZvCqpTKfaC2xIkNZMnLFEtARZOIRINZuzGtS3jFrjgwrMsdjkMkzZk32bWFFhrIVTrZ4jJjoCyjLr6Xkjz62lyhLRi6/BhhkesIgk2fEXJUyg5ZfqxUZBhnKlggTolKiN0niPBnKmQgUImDorcxT1ul1qQODTJ4Rq4fKfQYFmSK2lihHIkz4Kox7TQYZyoEsy+pcFREw9MaKTPcYZPJMczLIlBkVZHxsLVGOQk3KpVEVmdTXYpChLIRiIcQSyeq3wUGmJcrJvsdikMkzIlAYX5FhkKEsqa2lCuNek0GGciCqIk7JCZ/LZ8hrsiLTPQaZPBKOxdEeVU5GNX6OTAwyl7JSNtqblEtTKjJNxr0m5Y3UtpJkxJYBYJDpCYNMHhHzVCTJyFVLSpCJJ2QEI3FDXpPyjGgtcY4M2YQIE2VGrbQDJ/v2hEEmj4j5MSVeFxwOY35LKHI74HYqr8V5MpQVo1ctAR1tLAYZyoKoyIhN6ozAikz3GGTyiNHzYwDlVFauXKKcqK2lCuNekxUZyoEZFRkRZMLxMMLxsGGvawcMMnlEXbFk0PwYgXvJUE5MqcgwyFD21IqMQXvIAMrGexKU6jerMp0xyOQRo/eQEdTdfblyibLBOTJkM0bvIQMADsmhHofAINMZg0weMS3IsCJD2ZJlLr8m22kJG1+RATjhtzsMMnlEPZ7AZ8yKJYFzZChrkTZATq52Y2uJbEKdI2NgRQbghN/uMMjkkWbTKjJsLVGWRFvJ6QHcxmwsBoBBhnJixhyZ1NdjkOmMQSaPtJg12beIrSXKUupEX4M2FlNfT7w+N3KkDJmxagnoWO4tghQpGGTyiFqRKTZpjgxbS5QpM5ZeAx1BJh4BYu3GvjbZnjrZ183WkhUwyOQR05ZfF/HgSMqSGUuvAcBTAkiOzmMgSpMaZIyuyDDIdIlBJo+YsSEe0FGRaQoyyFCGzFh6DShtLBGeQo3GvjbZnggSZq1aao4wfKdikMkjakXG4CBTUewBADQGI4a+LuUBs1pLAODrq1wGjxr/2mRbsUQMgWgAgPGrlsq9SvhuDjPIpGKQySNijkq5wcuv+xSzIkNZMqu1BADFySATYpCh9LVF2tTPxQZ1RqnwVgAAmsJNhr6u1THI5IlYPKG2lkSFxCh9WJGhbIlqiAgVRmJFhrIgQkSJuwRuh8HVbwaZLjHI5InmUFRdRVpheGtJeb1wLIFQJG7oa5PNBRuUS58JQYYVGcqCCBEiVBipPFm5bOYE9U4YZPJEY1CsWHLB5TT2f2uJ1wW3U0qOg1UZyoAIEcWVxr+2eE1WZCgDZgaZ1IqMzP2PVAwyeUIEiL5+Y9tKACBJEif8UnZERcaMIOPro1yyIkMZaGxXVrlVmDBBXQSZSCKCUCxk+OtbFYNMnmgMKAHC6PkxAif8UlaCyaXPxX2Mf23RWgpy+TWlT6wYMqMiU+wqhsvh6jQOYpDJG2ZWZAAuwaYsmVqR4RwZylxjOFmRMSHISJLECb9dYJDJE0cDYsWSsRN9BVGRaWRFhtIVCQKiPG7mZF/OkaEMiADRp8iEKiK4cqkrDDJ5oklUZExrLSmv2xRgRYbSJCohDjfgNXaHVACsyFBWmpKbOJpRkQG4KV5XGGTyxNFkgOhjcmvpKFtLlC61rdTX2JOvhdSKDFeAUJrMXLWU+rqixUUMMnlDtHT6cLIv2UXQxKXXQEdFRo7z4EhKm1WCDFtLHRhk8oSYZNvHtDkynOxLGTJzMzwAcBcB7mLlc7aXKE1qkDHjfDB0BBm2ljowyOSJRpNbS+J1OdmX0mbm8QSCuikey/TUu4Sc6Jjs6+VkX6uwdJBZvnw5zj77bJSWlmLAgAGYNWsWdu7cafawLKmjImN2a4kVGUpTyAJBhpviUQZaI61IyAkA5k/2ZZDpYOkgs3HjRsybNw/vvPMO1q1bh2g0iksuuQSBQMDsoVlKPCGjKZScI+M3p7WkTvblqiVKl5l7yAjqhN8G88ZAtiHCg9/th9tp0s9aUZFJrp4iwGX2AHryyiuvdPp61apVGDBgALZs2YILL7zQpFFZT0vKgZFmVWT6lSiv29oeQzgWh9flNGUcZCNmT/YFAH9/5TJw2LwxkG2YPdEXAPom55QdbWcVUbB0kDlWc7Myualv3+5L0eFwGOFwWP26paVF93GZTSx5LvW64Db4wEih3OeG2ykhGpfR0BZBdYXPlHGQjZg92RcASgYql2315o2BbENUQUR7xwz9fP0AAA2hBsiyDMmMrQssxtKtpVSJRAILFizA+eefj9NOO63b+y1fvhzl5eXqR01NjYGjNMeRViW49Sv1mjYGSZJQ6Vde/0hbuJd7E6GjClLS37wxsCJDGWhoV8K3CBNmqCxSKpiRRARt0TbTxmEltgky8+bNw44dO7B69eoe77d48WI0NzerH/v37zdohOY5nAwOor1jln6lyusfbmWQoTS0faVc+geYN4aSAZ3HQtSDI6EjADrChBmKXEXwu/0AlKoM2aS1dMMNN+CFF17A66+/jiFDhvR4X6/XC6/XvMqEGURFpr+JFRkA6FfCigylKRHvaC2VmBhkRIhqY0WGeieCQ6XPxHldUIJUIBpAQ3sDhpcPN3UsVmDpiowsy7jhhhuwZs0avPbaaxgxYoTZQ7KkI23KHBkRJMzSXw0yXLlEvQg2AHICgAQUm1emV9taAc6Rod6JioyZrSWgI0ixIqOwdEVm3rx5ePLJJ/HXv/4VpaWlOHToEACgvLwcPh8nkwqildPf5CAj5uiwtUS9Eq2c4krAaeKPIVGRCRwBEgnAYenf7chkYo6Mma2l1NcX4yl0lv5Xu2LFCjQ3N2Py5MkYNGiQ+vHnP//Z7KFZimjlmDnZF2BriTIgVgmJVUNm8Sd/s5bj3BSPemWZ1hIrMp1YuiIj80TatIjJvqZXZJKTjRlkqFdqkDFxxRIAON3K8u/QUWVMfnNbBmRtlgkyyYqMaHUVOktXZCg9Vlh+DXCODGUgYJGKTOoYOE+GehCOh9EabQVgoTkybC0BYJCxPVmW1eBg+qqlUraWKE2iIuM3uSIDdFSFuHKJeiCqMW6HG6XuUlPHIoLMUbZDATDI2F5LKIZIXDnErNKkk68FMUemKRhFJJYwdSxkcWprycSl14Kfe8lQ79Q9ZHyVpu+my8m+nTHI2JyYH1NW5EKR29zzjSp8bjgdyj/whgCrMtQDS7WWxMoltpaoe6Ii06/I/HlUqZN9OZeUQcb26lvaAZjfVgIAh0NS58l81cIgQz1oVbZSsEaQSY5BjImoC4dDSuuxn5n7HiX19ynt0PZ4uzpvp5AxyNjcwWYlyFjlkMZBFUUAgLqmkMkjIUtrPqBclve8U7chxBjEmIi6cCigBN2q4iqTR6IcUyBO4BbjKmQMMjZ3qFkJDIPKi0weiaK6XAlUdcmARXSc9hYgkvwtsnSQuWMBgLLBymULgwx176ugModqoN8CVUQAVX4lUH0V4NwuBhmbE4GhqtwaFZmqZKCqa2ZFhrrRclC5LCoHvCXmjgUAyqqVy5aDAOcbUDdEYBhYbI0gI8ZxKMiKDIOMzR1KBhmrVGTEOA6yIkPdEZUPUQkxW1k1AAmIh5WjCoi6ICoyohJiNjEOtpYYZGyvoyJjjSAj5upwjgx1S1RkrBJknO6OCb8tX5o7FrIkWZY7gowF5sgADDKpGGRsrs5ic2REoDrEigx1R63IVJs7jlSp7SWiY7REWhCKKT9rB/gtsPcROlpLImAVMgYZG2uPxtEYjAIABpVZY46MmOz7VWsY8QTnG1AXrNZaAoDy5Fi4com6IKoefbx94HWav9UFwMm+qRhkbExUPYo9TpT5rHH+Z/9SL5wOCfGEjPpWVmWoC2pryUoVmeQSbLaWqAtWW7EEdLS4DgUOFfymeAwyNnYwOQ+lqrzI9C2zBadDwsDk5nxcgk1dak6GhXILVWTYWqIeWGkPGUG0uNrj7WiJtJg8GnMxyNhY7dEgAGBo32KTR9LZoOSE34Oc8EvHkmWgcZ/yeZ/hpg6lE7W1xIoMHe/LVuXvxeBS64Rvr9OLvkV9AQB1gTqTR2MuBhkbs2qQGdJHCTL7jzLI0DHavgJiIUByAuU1Zo+mQ8Uw5VKELKIUX7YpQaam1EJ/ZwFU+5VK4oHWwp7bxSBjY/ssGmSGVfoBAPsaAiaPhCzn6B7lsnyIsuzZKvqOVC5bDwKRoLljIcvZ37ofADCkxAJHaqSoKVOCVW1rrckjMReDjI3VNlgzyAyvVMazr4FvCHSMxmSQsVJbCQB8fZSdhgGgca+pQyFrkWVZDTJWq8gMLR0KgEGGQcbGRGtJVECsghUZ6pYICX1HmDqM40hSR1VGhC0iAE3hJgSiys+y6hILrbQDMLRMCTIiaBUqBhmbag5G0RxS9pCp6WuNPWQEUZGpa2lHezRu8mjIUo5atCIDdASZo1+YOw6yFBESBhQPQJHLGhuPCqIis7+FQYZsSFRj+pd6Ueyxxh4yQl+/ByVeF2QZ+LKR7SVKISoyfSxWkQE6xsQgQynEiiWrzY8BgCGlypjqAnWIxCMmj8Y8DDI29cWRNgAd1Q8rkSQJw5Lj2nuEQYaSZBlo2KV8LqofVsKKDHVhb8teAB1tHCupLKpEsasYMmR1ZVUhYpCxqc++agUAjB5YavJIuja8nzJP5vPDbSaPhCyjrR4INQKSA+h3otmjOV7lCcrlkV3mjoMsZXfTbgDAqIpRJo/keJIkYViZsnXAnubCndvFIGNTn32lBIQTB5SYPJKunZQMWDuTgYsIhz9RLvuMANzWmmsAAOg/RrlsOQCEmkwdClnH502fAwBOqDjB5JF0TQSs3Y27TR6JeRhkbEpUZE60aEVGjGvnIQYZSqr/VLkccLK54+iOr6LjIMv6T0wdCllDNB5FbYuytNmKFRkAGNVHGdeupsKtJDLI2FAoElcn+1q1tTSmShnXrvo2noJNClGREZUPKxpwinJZ/7G54yBL2NuyFzE5hhJ3CQYWW+fAyFSjK0YDYEWGbObzw22QZaBPsRv9SjxmD6dLQ/sWw+d2IhJLYC/3kyHA+hUZoGNsDDKEzm0lqxzMe6zRfZQgs7dlb8GuXGKQsaGP65STTkcPLLXsPy6HQ8KJA5X5O2wvERKJjnBg5YrMwFOVy68YZAjY2bgTgHXbSgAwsHggSt2liMvxgp3wyyBjQx9+2QQAGD+k3NyB9OLkQWUAgB0Hmk0eCZmuYTcQbgFcPosHmdOUy0PbgQQ3cyx0O47sAACc2u9Uk0fSPUmScGJfZRXgxw2FGcAZZGzowy+VYDBuSIW5A+nF6TUVAICttY3mDoTMd3CrcjloPOC01gaOnfQfA7j9QKQVOLzT7NGQiRJyAh81fAQAOK3yNJNH07Nx/cYBAD488qHJIzEHg4zNhGNxfJJsLYmgYFVnDOsDAPhgfzNi8YTJoyFTHdiiXA4+09xx9MbpAgafoXz+5XvmjoVMVdtSi9ZIK7xOr7oyyKrG9x8PAPjg8Acmj8QcDDI2s+NAC6JxGX39HgzpY60zlo41qn8JSr0uhKJxfMp5MoXty03KpQgJVjbkbOVy/yZzx0GmEtWNMX3HwO1wmzyano3rr1RkdjfuRluk8DYhZZCxmXe+aAAAnDO8r2Un+goOh4TTh1YAYHupoIWagLrkb4rDzjN1KGmpOUe53P+uueMgU71Xp1Tkzhp4lskj6V3/4v6o9ldDhlyQ7SUGGZt56/MjAIDzRlWaPJL0nDO8LwDgzV1HTB4JmWbfW4CcACpHA2XVZo+mdzUTlWMUGnYBzYV7fk0hk2UZ7x1Sgsw5VeeYPJr0nDlQadu+U/eOySMxHoOMjbRH49i8V6lsnHeCPYLM5JMGAAD+sfsIIjHOkylIX2xQLkdcaOow0lbcFxic/C181zpzx0KmqG2tRV2gDi6HC6cPON3s4aTla4O/BgB448s3TB6J8RhkbOSNXUcQjiVQXV6EE/pb84ylY51aXYZ+JV4EInFs3nvU7OGQ0WQZ2PmS8vkJF5k7lkyMvkS53P2queMgU/y99u8AgDMGnIFid7HJo0nPedXnwSE5sLtpNw4FDpk9HEMxyNjIKzuUv5yXnlZl+fkxgsMh4esn9gcArP2osP5xEYC6bUDzfsBdDIy62OzRpG/0VOXy878D4cKbPFnoXq1VAuzUYVNNHkn6KooqMLbfWADA+tr1Jo/GWAwyNhGKxPF/HytBYNqpVSaPJjP/PH4QAOD5Dw6yvVRotj+tXI6aCritvcquk0GnA31HAtEA8MnzZo+GDPRl65fqMuaLh9oofAOYNnwaAOD5zwvr7yyDjE288OFBtLbHUNPXh7OTE2jt4sLR/TGwzIvGYBTrP/nK7OGQUaLtwLYnlc9P/zdzx5IpSeoY8/v/a+5YyFDP7HoGADBp0CQMKB5g8mgyM2PkDLgcLnzc8DE+a/zM7OEYhkHGBmRZxuNv7wUAXHHOUDgc9mgrCU6HhH89YwgA4P+9uQeyzNOwC8KOp4HQUaBsSMecEzsZf4Wyemnfm8DB980eDRkgGA3i2V3PAgAuO+kyk0eTuT5FfTB5yGQAwB8/+qO5gzEQg4wNrP3oEHYcaIHf48TlZw81ezhZufq84fC6HNiyrxGvcyl2/otFgI0/Vz6f+EPA4TR3PNkoHwKMTb6Z/X25uWMhQzz56ZM42n4UQ0qGYHLNZLOHk5VrTrsGAPDCFy9gX8s+k0djDAYZi2ttj+KeFz4BAFzztRHo6/eYPKLsDCgrwuyJwwAAS5//CKEID+TLa2/8EmiqBUoGAmf/u9mjyd7Xb1OqMrvWAp+8YPZoSEcH2g7gsQ8fAwBcf/r1lt/Ntztj+4/FBYMvQFyO45537kFCzv95ibYIMr/97W8xfPhwFBUVYeLEiXjvvcI4AyWRkHHr0x/iQFMIQ/r48J9fP8HsIeXkpotHo6qsCF8cCeAna7YjkWCLKS99/hrw+v3K55feC3jssXy1S5UnAOfdqHz+txuBhs/NHQ/pIhQL4Ucbf4RgLIgzBpyBGSNnmD2knNx2zm0ochbh3bp38eiHj5o9HN1ZPsj8+c9/xsKFC3HXXXdh69atGD9+PC699FLU19ebPTRdtbZHMe/JrXh5xyF4nA488L3T4fda+NTgNJQXu/Ffl42H0yHh2fcPYNFfPkAwEjN7WKQVWQZ2PAP86d8AOQ6Muxw47dtmjyp3U36snNodbAAenwl8ucXsEZGG6oP1+I//+w9sP7Id5d5yLDt/GRyS5d8aezSsbBhuPedWAMBvt/0Wv976a8QT+VsFl2SLz7ycOHEizj77bDz00EMAgEQigZqaGsyfPx+33357r49vaWlBeXk5mpubUVZWpvdwcyLLMvY2BPHS9jqs/MdeHGkLqyFmxrhBZg9PM89u/RKL/vIBEjJQVVaEa742HNNPG4QhfXy22R+HUrQ3A3teBzb9HvhC2UgMoy8BvvcE4PKaOzattB0GVv0TcOQzpdU09rvKqqah5+bPn7GAxBNx7G7ajZf2vITVn65GMBZEqacUD1/8sG128k3Hw9sexooPVgAARpaPxJWnXIkpNVPQz9fP5JGlJ933b0sHmUgkguLiYjz99NOYNWuWev3cuXPR1NSEv/71r70+h15BZu1Hh/Dhl01IyEBCloHkpSyj4zqkXidD6aTISCQAGcrX8YSMpmAER9oiqD0aRHMoqr7GyH5+/OI743CWzZZbp+Otz49g0VMf4GBzu3pdRbEbwyv9qPR7UF7shtflgMvhgMspwe10QJIACZ2DTle5J/Wqs4f3xZQx9lpCqZu2euDd3ymVEzmhfEBOfn3sdYmO65BymwzlMtIGBI4ArXVA456O13C4gfNvBCb/GHDau4J4nPZm4IWblaqT4HABlaOUuUDFlYDHDzjdyvfB4Up+D475S9plWE+5zuECLvqJHn8CW3p217PY37ofsiwjgUTyZ20CCSQgyzJkyMptcqLj85TbErLyeUyOobG9EQ2hBtS21iIUC6mvMa7fOCz72jKMKB9h4p9UHy9+8SLuffdetERa1Ov6+/pjSOkQVHgrUOYpg9vphlNywu1ww+VwdVmROv5nb+evL6q5CGP7j9V07Om+f1v6J82RI0cQj8cxcODATtcPHDgQn376aZePCYfDCIfD6tctLS1d3i9XG3Yexp/eq9X8eT1OB84c1gf/csZgzDp9MDwue5c4u3PeCf3w9x9NxtNbvsRftx3Eln2NaApGsS3YpOnrXHtBgkFGCDYok3D1UDEMOHUWcOZVykZy+aioHPjOH4BJ84DNfwB2vqx8Tw9/qnxoxelhkEnx4hcvqgc4asnn8mFi1UTMGjULU4ZOsX07qTszRs7AhUMuxFM7n8LavWvxydFPcDh0GIdDhzV9neqSas2DTLosHWSysXz5cixdulT31zl/VCWK3A44JCWnOhzKpSRJcEjKL13iNkmS1K+V2yS1uuCQlEpEvxIvqsqLMHpAad6Gl2N5XU7MnjgMsycOQ3s0jt31bTjYFMLRQARNoSiisQSiCRmxeALReALHzg3uqpYoo/OV+VjNypqvLzDxP5XWiPihLTmUv6ySA4DUcdtx10mdr3P7AH9/oGQA0H8M4LdHqVoTg89UPmQZaDkAHN6pBJrAESAaBBIxIB4FElEgfuwcsK7+0h5znR2Xquto6rCpOLHPicrPTUhwSI7On0NK/tzt+Lyr25ySExXeCvQt6ovqkmoMLxsOZ4F8r0s9pfjB2B/gB2N/gGA0iF1Nu3A4eBhH24+iJdKCWCLW6SOBziud0mncjK4Yrdfwe5V3raWuKjI1NTW2mCNDREREinRbS5b+1d/j8eDMM8/E+vUdB2AlEgmsX78ekyZN6vIxXq8XZWVlnT6IiIgoP1m+tbRw4ULMnTsXZ511Fs455xw8+OCDCAQCuPrqq80eGhEREZnM8kHme9/7Hg4fPow777wThw4dwumnn45XXnnluAnAREREVHgsPUdGC3baR4aIiIgUeTFHhoiIiKgnDDJERERkWwwyREREZFsMMkRERGRbDDJERERkWwwyREREZFsMMkRERGRbDDJERERkWwwyREREZFuWP6IgV2Lj4paWFpNHQkREROkS79u9HUCQ90GmtbUVAFBTU2PySIiIiChTra2tKC8v7/b2vD9rKZFI4ODBgygtLYUkSWYPx7JaWlpQU1OD/fv380wqjfF7qx9+b/XD760++H1NnyzLaG1tRXV1NRyO7mfC5H1FxuFwYMiQIWYPwzbKysr4j0sn/N7qh99b/fB7qw9+X9PTUyVG4GRfIiIisi0GGSIiIrItBhkCAHi9Xtx1113wer1mDyXv8HurH35v9cPvrT74fdVe3k/2JSIiovzFigwRERHZFoMMERER2RaDDBEREdkWgwwRERHZFoMM4fXXX8fMmTNRXV0NSZLw3HPPmT2kvLB8+XKcffbZKC0txYABAzBr1izs3LnT7GHlhRUrVmDcuHHqpmKTJk3Cyy+/bPaw8s59990HSZKwYMECs4die0uWLIEkSZ0+xowZY/aw8gKDDCEQCGD8+PH47W9/a/ZQ8srGjRsxb948vPPOO1i3bh2i0SguueQSBAIBs4dme0OGDMF9992HLVu2YPPmzbjooovwrW99Cx999JHZQ8sbmzZtwiOPPIJx48aZPZS8ceqpp6Kurk79ePPNN80eUl7I+yMKqHfTp0/H9OnTzR5G3nnllVc6fb1q1SoMGDAAW7ZswYUXXmjSqPLDzJkzO339s5/9DCtWrMA777yDU0891aRR5Y+2tjbMnj0bjz32GJYtW2b2cPKGy+VCVVWV2cPIO6zIEBmkubkZANC3b1+TR5Jf4vE4Vq9ejUAggEmTJpk9nLwwb948zJgxA1OnTjV7KHll165dqK6uxsiRIzF79mzU1taaPaS8wIoMkQESiQQWLFiA888/H6eddprZw8kL27dvx6RJk9De3o6SkhKsWbMGp5xyitnDsr3Vq1dj69at2LRpk9lDySsTJ07EqlWrcNJJJ6Gurg5Lly7FBRdcgB07dqC0tNTs4dkagwyRAebNm4cdO3awJ66hk046Cdu2bUNzczOefvppzJ07Fxs3bmSYycH+/ftx0003Yd26dSgqKjJ7OHkltX0/btw4TJw4EcOGDcNTTz2FH/zgByaOzP4YZIh0dsMNN+CFF17A66+/jiFDhpg9nLzh8XgwatQoAMCZZ56JTZs24b//+7/xyCOPmDwy+9qyZQvq6+txxhlnqNfF43G8/vrreOihhxAOh+F0Ok0cYf6oqKjAiSeeiN27d5s9FNtjkCHSiSzLmD9/PtasWYMNGzZgxIgRZg8pryUSCYTDYbOHYWsXX3wxtm/f3um6q6++GmPGjMFtt93GEKOhtrY2fP755/j+979v9lBsj0GG0NbW1um3gj179mDbtm3o27cvhg4dauLI7G3evHl48skn8de//hWlpaU4dOgQAKC8vBw+n8/k0dnb4sWLMX36dAwdOhStra148sknsWHDBqxdu9bsodlaaWnpcXO4/H4/KisrObcrR4sWLcLMmTMxbNgwHDx4EHfddRecTieuuOIKs4dmewwyhM2bN2PKlCnq1wsXLgQAzJ07F6tWrTJpVPa3YsUKAMDkyZM7Xb9y5UpcddVVxg8oj9TX12POnDmoq6tDeXk5xo0bh7Vr1+Ib3/iG2UMj6tKXX36JK664Ag0NDejfvz++9rWv4Z133kH//v3NHprtSbIsy2YPgoiIiCgb3EeGiIiIbItBhoiIiGyLQYaIiIhsi0GGiIiIbItBhoiIiGyLQYaIiIhsi0GGiIiIbItBhoiIiGyLQYaIiIhsi0GGiDQxefJkLFiwwOxhZKyhoQEDBgzA3r17c36uyy+/HL/85S9zHxQRpY1HFBBRryRJ6vH2u+66CzfeeCPcbjdKS0sNGlXPbr75Zuzbtw/PPvtsj/dbuHAhWltb8dhjj2Ht2rWYNm1aj/dfu3YtLrnkki5v27FjBy688ELs2bMH5eXlWY+diNLHQyOJqFd1dXXq53/+859x5513YufOnep1JSUlKCkpMWNo3XrvvfcwY8aMHu8TDAbx+9//Xj01+8ILL+z0Zz3ttNNw/fXX4/rrr1ev6+mQv9NOOw0nnHACnnjiCcybNy/HPwERpYOtJSLqVVVVlfpRXl4OSZI6XVdSUnJca2ny5MmYP38+FixYgD59+mDgwIF47LHHEAgEcPXVV6O0tBSjRo3Cyy+/rD4mkUhg+fLlGDFiBHw+H8aPH4+nn346o7FGIhG43W689dZb+MlPfgJJknDuued2ed+XXnoJXq9Xvd3n86l/png8joaGBlxwwQWd/qxOp7PH1585cyZWr16d0ZiJKHsMMkSkm8cffxz9+vXDe++9h/nz5+O6667DZZddhvPOOw9bt27FJZdcgu9///sIBoMAgOXLl+OPf/wjfve73+Gjjz7CzTffjCuvvBIbN25M+zVdLhf+8Y9/AAC2bduGuro6vPLKK13e94033sCZZ57Z5W3vv/8+AOCMM87I5I+Mc845B++99x7C4XBGjyOi7DDIEJFuxo8fj5/+9KcYPXo0Fi9ejKKiIvTr1w/XXnstRo8ejTvvvBMNDQ348MMPEQ6Hce+99+IPf/gDLr30UowcORJXXXUVrrzySjzyyCNpv6bD4cDBgwdRWVmJ8ePHo6qqChUVFV3ed9++faiuru7ytq1bt6KmpgaVlZWdrv+Xf/kX9OnTB9/5zne6fFx1dTUikQgOHTqU9piJKHucI0NEuhk3bpz6udPpRGVlJcaOHateN3DgQABAfX09du/ejWAwiG984xudniMSiWDChAkZve7777+P8ePH93q/UCiEoqKiLm/bunVrl9WYm266Cddccw0ef/zxLh/n8/kAQK0yEZG+GGSISDdut7vT15IkdbpOrIZKJBJoa2sDALz44osYPHhwp8d5vd6MXnfbtm1pBZl+/fqhsbGxy9u2bt2Kf//3fz/u+smTJ2PDhg3dPufRo0cB9DwpmIi0wyBDRJZwyimnwOv1ora2Fl//+tdzeq7t27fj29/+dq/3mzBhAp544onjrj9y5Aj279+f8fwYQFmCPWTIEPTr1y/jxxJR5hhkiMgSSktLsWjRItx8881IJBL42te+hubmZvzjH/9AWVkZ5s6dm/ZzJRIJ7Ny5EwcPHoTf7+92T5dLL70UixcvRmNjI/r06aNev3XrVgCZT/QFlAnE3e0zQ0Ta42RfIrKMe+65B3fccQeWL1+Ok08+GdOmTcOLL76IESNGqPdZtWpVrxv0LVu2DKtWrcLgwYOxbNmybu83duxYnHHGGXjqqac6Xf/+++9j4MCB3U4E7k57ezuee+45XHvttRk9joiyx519ichW7rrrLmzcuLHHeSqZePHFF/GjH/0IO3bsgMOR3u92GzZswEMPPXTcHjcrVqzAmjVr8H//93+ajI2IesfWEhHZyssvv4yHHnpIs+ebMWMGdu3ahQMHDqCmpqbX+0+dOhUffPABAoEAhgwZgr/85S+YNGkSAGVy829+8xvNxkZEvWNFhoiIiGyLc2SIiIjIthhkiIiIyLYYZIiIiMi2GGSIiIjIthhkiIiIyLYYZIiIiMi2GGSIiIjIthhkiIiIyLYYZIiIiMi2GGSIiIjIthhkiIiIyLYYZIiIiMi2/j/V94pULVHlJwAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pulse.plot(parameters={'delay': 1, 'width': 0.1})\n", "pulse.plot(parameters={'delay': 3, 'width': 0.1})\n", "pulse.plot(parameters={'delay': 5, 'width': 0.1}).show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.371478Z", "start_time": "2024-02-08T13:01:12.279342Z" } } }, { "cell_type": "markdown", "source": [ "##### Overwrite parameter function" ], "metadata": { "collapsed": false } }, { "cell_type": "markdown", "source": [ "The overwrite parameter function is used to take incoming parameters and overwrite the dictionary with new parameters computed by the function. That means, if the value of the output parameter cannot be modified and must always be influenced through its arguments." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 361, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'width': 0.0, 'area': 3.141592653589793, 'delay': 0, 'detuning': 0, 'phase': 0, 'window': 6}\n" ] } ], "source": [ "pulse = Pulse() // Pulse.gaussian()\n", "pulse.create_overwrite_parameter_function(lambda args: {'width': args['delay']/10},\n", " parameters={'delay': 0})\n", "print(pulse.default_parameters)" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.375156Z", "start_time": "2024-02-08T13:01:12.373226Z" } } }, { "cell_type": "markdown", "source": [ "We can see that the initial behaviour is the same as for the default parameter function." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 362, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pulse.plot(parameters={'delay': 1})\n", "pulse.plot(parameters={'delay': 3})\n", "pulse.plot(parameters={'delay': 5}).show()" ], "metadata": { "collapsed": false, "ExecuteTime": { "end_time": "2024-02-08T13:01:12.517545Z", "start_time": "2024-02-08T13:01:12.387525Z" } } }, { "cell_type": "markdown", "source": [ "But now we cannot overwrite the value computed by the overwrite parameter function." ], "metadata": { "collapsed": false } }, { "cell_type": "code", "execution_count": 363, "outputs": [ { "data": { "text/plain": "
", "image/png": 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" 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