From 8e358e5e11b939b61c75ad8ff4dbceb020fd551a Mon Sep 17 00:00:00 2001 From: Mridul Seth Date: Thu, 30 Jul 2020 18:26:56 +0530 Subject: [PATCH 1/5] generalised unpack function after a model is solved --- HARK/ConsumptionSaving/ConsIndShockModel.py | 20 ------------------ HARK/core.py | 23 +++++++++++++++++++++ 2 files changed, 23 insertions(+), 20 deletions(-) diff --git a/HARK/ConsumptionSaving/ConsIndShockModel.py b/HARK/ConsumptionSaving/ConsIndShockModel.py index 6cd22eb0c..71d5cb66e 100644 --- a/HARK/ConsumptionSaving/ConsIndShockModel.py +++ b/HARK/ConsumptionSaving/ConsIndShockModel.py @@ -1530,26 +1530,6 @@ def updateSolutionTerminal(self): self.solution_terminal.vPfunc = MargValueFunc(self.cFunc_terminal_,self.CRRA) self.solution_terminal.vPPfunc = MargMargValueFunc(self.cFunc_terminal_,self.CRRA) - def unpackcFunc(self): - ''' - "Unpacks" the consumption functions into their own field for easier access. - After the model has been solved, the consumption functions reside in the - attribute cFunc of each element of ConsumerType.solution. This method - creates a (time varying) attribute cFunc that contains a list of consumption - functions. - - Parameters - ---------- - none - - Returns - ------- - none - ''' - self.cFunc = [] - for solution_t in self.solution: - self.cFunc.append(solution_t.cFunc) - self.addToTimeVary('cFunc') def initializeSim(self): self.PlvlAggNow = 1.0 diff --git a/HARK/core.py b/HARK/core.py index 3116b7956..9c4c6bee0 100644 --- a/HARK/core.py +++ b/HARK/core.py @@ -293,6 +293,29 @@ def delFromTimeInv(self, *params): if param in self.time_inv: self.time_inv.remove(param) + def unpackFunc(self, function='cFunc'): + ''' + "Unpacks" a function into their own field for easier access. + After the model has been solved, the functions (consumption) reside in the + attributes of each element of ConsumerType.solution (e.g. cFunc). This method + creates a (time varying) attribute of the given function name that contains + a list of functions. + + Parameters + ---------- + function: str + Name of the function to unpack from the solution + + Returns + ------- + none + ''' + setattr(self, function, list()) + for solution_t in self.solution: + self.__dict__[function].append(solution_t.__dict__[function]) + self.addToTimeVary(function) + + def solve(self, verbose=False): ''' Solve the model for this instance of an agent type by backward induction. From 76b643fadc13403d66a5f02dec8ddfa1424cc34a Mon Sep 17 00:00:00 2001 From: Mridul Seth Date: Thu, 6 Aug 2020 04:52:33 +0530 Subject: [PATCH 2/5] fix examples with changes to unpackcFunc --- .../tests/test_IndShockConsumerType.py | 6 +- .../tests/test_modelcomparisons.py | 6 +- HARK/core.py | 20 +- .../IndShockConsumerType.ipynb | 181 +++--- .../ConsIndShockModel/IndShockConsumerType.py | 21 +- .../example_ConsAggShockModel.ipynb | 162 +---- .../example_ConsAggShockModel.py | 156 +++-- .../example_ConsIndShock.ipynb | 65 +- .../ConsumptionSaving/example_ConsIndShock.py | 37 +- .../example_ConsLaborModel.ipynb | 576 ++++++++++++++++++ .../example_ConsLaborModel.py | 34 +- .../example_TractableBufferStockModel.ipynb | 39 +- .../example_TractableBufferStockModel.py | 31 +- .../Quick_start_with_solution.ipynb | 139 +++-- examples/LifecycleModel/LifecycleModel.ipynb | 159 +---- examples/LifecycleModel/LifecycleModel.py | 31 +- 16 files changed, 993 insertions(+), 670 deletions(-) create mode 100644 examples/ConsumptionSaving/example_ConsLaborModel.ipynb diff --git a/HARK/ConsumptionSaving/tests/test_IndShockConsumerType.py b/HARK/ConsumptionSaving/tests/test_IndShockConsumerType.py index 8c046f193..926735932 100644 --- a/HARK/ConsumptionSaving/tests/test_IndShockConsumerType.py +++ b/HARK/ConsumptionSaving/tests/test_IndShockConsumerType.py @@ -137,7 +137,7 @@ def test_baseEx(self): baseEx.cycles = 100 # Make this type have a finite horizon (Set T = 100) baseEx.solve() - baseEx.unpackcFunc() + baseEx.unpack('cFunc') m = np.linspace(0,9.5,1000) @@ -163,7 +163,7 @@ def test_GICFails(self): **GIC_fail_dictionary) GICFailExample.solve() - GICFailExample.unpackcFunc() + GICFailExample.unpack('cFunc') m = np.linspace(0,5,1000) c_m = GICFailExample.cFunc[0](m) @@ -177,7 +177,7 @@ def test_infinite_horizon(self): **self.base_params) baseEx_inf.solve() - baseEx_inf.unpackcFunc() + baseEx_inf.unpack('cFunc') m1 = np.linspace(1,baseEx_inf.solution[0].mNrmSS,50) # m1 defines the plot range on the left of target m value (e.g. m <= target m) c_m1 = baseEx_inf.cFunc[0](m1) diff --git a/HARK/ConsumptionSaving/tests/test_modelcomparisons.py b/HARK/ConsumptionSaving/tests/test_modelcomparisons.py index 736bfe96c..5f934c4e3 100644 --- a/HARK/ConsumptionSaving/tests/test_modelcomparisons.py +++ b/HARK/ConsumptionSaving/tests/test_modelcomparisons.py @@ -49,14 +49,14 @@ def setUp(self): InfiniteType.updateIncomeProcess() InfiniteType.solve() - InfiniteType.unpackcFunc() + InfiniteType.unpack('cFunc') # Make and solve a perfect foresight consumer type with the same parameters PerfectForesightType = PerfForesightConsumerType(**test_dictionary) PerfectForesightType.cycles = 0 PerfectForesightType.solve() - PerfectForesightType.unpackcFunc() + PerfectForesightType.unpack('cFunc') self.InfiniteType = InfiniteType self.PerfectForesightType = PerfectForesightType @@ -139,7 +139,7 @@ def setUp(self): unemployed_income_dist]] MarkovType.solve() - MarkovType.unpackcFunc() + MarkovType.unpack('cFunc') self.TBSType = TBSType self.MarkovType = MarkovType diff --git a/HARK/core.py b/HARK/core.py index 9c4c6bee0..65cb66ca1 100644 --- a/HARK/core.py +++ b/HARK/core.py @@ -293,27 +293,27 @@ def delFromTimeInv(self, *params): if param in self.time_inv: self.time_inv.remove(param) - def unpackFunc(self, function='cFunc'): + def unpack(self, parameter): ''' - "Unpacks" a function into their own field for easier access. - After the model has been solved, the functions (consumption) reside in the - attributes of each element of ConsumerType.solution (e.g. cFunc). This method - creates a (time varying) attribute of the given function name that contains - a list of functions. + Unpacks a parameter from a solution object for easier access. + After the model has been solved, the parameters (like consumption function) + reside in the attributes of each element of `ConsumerType.solution` + (e.g. `cFunc`). This method creates a (time varying) attribute of the given + parameter name that contains a list of functions accessible by `ConsumerType.parameter`. Parameters ---------- - function: str + parameter: str Name of the function to unpack from the solution Returns ------- none ''' - setattr(self, function, list()) + setattr(self, parameter, list()) for solution_t in self.solution: - self.__dict__[function].append(solution_t.__dict__[function]) - self.addToTimeVary(function) + self.__dict__[parameter].append(solution_t.__dict__[parameter]) + self.addToTimeVary(parameter) def solve(self, verbose=False): diff --git a/examples/ConsIndShockModel/IndShockConsumerType.ipynb b/examples/ConsIndShockModel/IndShockConsumerType.ipynb index d71acbbcf..a6a9855a6 100644 --- a/examples/ConsIndShockModel/IndShockConsumerType.ipynb +++ b/examples/ConsIndShockModel/IndShockConsumerType.ipynb @@ -12,7 +12,9 @@ "cell_type": "code", "execution_count": 1, "metadata": { - "code_folding": [] + "code_folding": [ + 0 + ] }, "outputs": [], "source": [ @@ -134,7 +136,9 @@ "cell_type": "code", "execution_count": 2, "metadata": { - "code_folding": [] + "code_folding": [ + 0 + ] }, "outputs": [], "source": [ @@ -200,7 +204,9 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "heading_collapsed": true + }, "source": [ "## Solving and examining the solution of the idiosyncratic income shocks model\n", "\n", @@ -211,6 +217,7 @@ "cell_type": "code", "execution_count": 3, "metadata": { + "hidden": true, "lines_to_next_cell": 2 }, "outputs": [ @@ -218,14 +225,6 @@ "name": "stderr", "output_type": "stream", "text": [ - "\n", - "The value of the Individual Growth Impatience Factor for the supplied parameter values satisfies the Individual Growth Impatience Condition; the value of the GIFInd is: 0.9937770544971949\n", - "\n", - "The value of the Aggregate Growth Impatience Factor for the supplied parameter values satisfies the Aggregate Growth Impatience Condition; the value of the GIFAgg is: 0.9648480662782519\n", - "\n", - "The Weak Return Impatience Factor value for the supplied parameter values satisfies the Weak Return Impatience Condition; the WRIF is 0.2137051775522094.\n", - "\n", - "The Finite Value of Autarky Factor (FVAV) for the supplied parameter values satisfies the Finite Value of Autarky Condition; the FVAF is 0.9320542665334163\n", "GIFPF = 0.984539 \n", "GIFInd = 0.993777 \n", "GIFAgg = 0.964848 \n", @@ -245,57 +244,27 @@ "IndShockExample.solve()" ] }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "\n", - "The value of the Individual Growth Impatience Factor for the supplied parameter values satisfies the Individual Growth Impatience Condition; the value of the GIFInd is: 0.9937770544971949\n", - "\n", - "The value of the Aggregate Growth Impatience Factor for the supplied parameter values satisfies the Aggregate Growth Impatience Condition; the value of the GIFAgg is: 0.9648480662782519\n", - "\n", - "The Weak Return Impatience Factor value for the supplied parameter values satisfies the Weak Return Impatience Condition; the WRIF is 0.2137051775522094.\n", - "\n", - "The Finite Value of Autarky Factor (FVAV) for the supplied parameter values satisfies the Finite Value of Autarky Condition; the FVAF is 0.9320542665334163\n", - "GIFPF = 0.984539 \n", - "GIFInd = 0.993777 \n", - "GIFAgg = 0.964848 \n", - "Thorn = AIF = 0.994384 \n", - "PermGroFacAdj = 1.000611 \n", - "uInvEpShkuInv = 0.990704 \n", - "FVAF = 0.932054 \n", - "WRIF = 0.213705 \n", - "DiscFacGIFIndMax = 0.972061 \n", - "DiscFacGIFAggMax = 1.010600 \n" - ] - } - ], - "source": [ - "IndShockExample.checkConditions()" - ] - }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "After solving the model, we can examine an element of this type's $\\texttt{solution}$:" ] }, { "cell_type": "code", - "execution_count": 5, - "metadata": {}, + "execution_count": 4, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "{'cFunc': , 'vFunc': , 'vPfunc': , 'vPPfunc': , 'mNrmMin': 0.0, 'hNrm': 44.991920196607595, 'MPCmin': 0.044536273404377116, 'MPCmax': 1.0, 'mNrmSS': 1.5488165705077026}\n" + "{'cFunc': , 'vFunc': , 'vPfunc': , 'vPPfunc': , 'mNrmMin': 0.0, 'hNrm': 44.991920196607595, 'MPCmin': 0.044536273404377116, 'MPCmax': 1.0, 'mNrmSS': 1.5488165705077026}\n" ] } ], @@ -305,7 +274,9 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The single-period solution to an idiosyncratic shocks consumer's problem has all of the same attributes as in the perfect foresight model, with a couple additions. The solution can include the marginal marginal value of market resources function $\\texttt{vPPfunc}$, but this is only constructed if $\\texttt{CubicBool}$ is $\\texttt{True}$, so that the MPC can be accurately computed; when it is $\\texttt{False}$, then $\\texttt{vPPfunc}$ merely returns $\\texttt{NaN}$ everywhere.\n", "\n", @@ -316,8 +287,10 @@ }, { "cell_type": "code", - "execution_count": 6, - "metadata": {}, + "execution_count": 5, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -328,7 +301,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -367,7 +340,9 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The lower part of the consumption function is linear with a slope of 1, representing the *constrained* part of the consumption function where the consumer *would like* to consume more by borrowing-- his marginal utility of consumption exceeds the marginal value of assets-- but he is prevented from doing so by the artificial borrowing constraint.\n", "\n", @@ -378,8 +353,10 @@ }, { "cell_type": "code", - "execution_count": 7, - "metadata": {}, + "execution_count": 6, + "metadata": { + "hidden": true + }, "outputs": [ { "name": "stdout", @@ -417,7 +394,9 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hidden": true + }, "source": [ "The consumption function in this model is an instance of $\\texttt{LowerEnvelope1D}$, a class that takes an arbitrary number of 1D interpolants as arguments to its initialization method. When called, a $\\texttt{LowerEnvelope1D}$ evaluates each of its component functions and returns the lowest value. Here, the two component functions are the *unconstrained* consumption function-- how the agent would consume if the artificial borrowing constraint did not exist for *just this period*-- and the *borrowing constrained* consumption function-- how much he would consume if the artificial borrowing constraint is binding. \n", "\n", @@ -426,12 +405,14 @@ }, { "cell_type": "code", - "execution_count": 8, - "metadata": {}, + "execution_count": 7, + "metadata": { + "hidden": true + }, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -472,7 +453,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ @@ -490,12 +471,12 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -539,12 +520,12 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -579,9 +560,11 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": { - "code_folding": [] + "code_folding": [ + 0 + ] }, "outputs": [], "source": [ @@ -639,14 +622,14 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "First element of solution is \n", + "First element of solution is \n", "Solution has 11 elements.\n" ] } @@ -670,7 +653,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -682,7 +665,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -696,7 +679,7 @@ "source": [ "print('Consumption functions across the lifecycle:')\n", "mMin = np.min([LifecycleExample.solution[t].mNrmMin for t in range(LifecycleExample.T_cycle)])\n", - "LifecycleExample.unpackcFunc() # This makes all of the cFuncs accessible in the attribute cFunc\n", + "LifecycleExample.unpack('cFunc') # This makes all of the cFuncs accessible in the attribute cFunc\n", "plotFuncs(LifecycleExample.cFunc,mMin,5)" ] }, @@ -713,9 +696,11 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": { - "code_folding": [] + "code_folding": [ + 0 + ] }, "outputs": [], "source": [ @@ -775,14 +760,14 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:1710: RuntimeWarning: All-NaN slice encountered\n", + "/Users/ms/dev/HARK/HARK/interpolation.py:1710: RuntimeWarning: All-NaN slice encountered\n", " y = np.nanmin(fx,axis=1)\n" ] }, @@ -795,7 +780,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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" ] @@ -811,7 +796,7 @@ "CyclicalExample.cycles = 0 # Make this consumer type have an infinite horizon\n", "CyclicalExample.solve()\n", "\n", - "CyclicalExample.unpackcFunc()\n", + "CyclicalExample.unpack('cFunc')\n", "print('Quarterly consumption functions:')\n", "mMin = min([X.mNrmMin for X in CyclicalExample.solution])\n", "plotFuncs(CyclicalExample.cFunc,mMin,5)" @@ -828,7 +813,8 @@ "metadata": { "jupytext": { "cell_metadata_filter": "collapsed,code_folding,heading_collapsed,hidden", - "formats": "ipynb,py:percent" + "formats": "ipynb,py:percent", + "notebook_metadata_filter": "all" }, "kernelspec": { "display_name": "Python 3", @@ -845,38 +831,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.5" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - }, - "toc": { - "base_numbering": 1, - "nav_menu": {}, - "number_sections": true, - "sideBar": true, - "skip_h1_title": false, - "title_cell": "Table of Contents", - "title_sidebar": "Contents", - "toc_cell": false, - "toc_position": {}, - "toc_section_display": true, - "toc_window_display": false + "version": "3.7.6" } }, "nbformat": 4, diff --git a/examples/ConsIndShockModel/IndShockConsumerType.py b/examples/ConsIndShockModel/IndShockConsumerType.py index fdc79abc4..4b26caaa9 100644 --- a/examples/ConsIndShockModel/IndShockConsumerType.py +++ b/examples/ConsIndShockModel/IndShockConsumerType.py @@ -3,15 +3,26 @@ # jupytext: # cell_metadata_filter: collapsed,code_folding,heading_collapsed,hidden # formats: ipynb,py:percent +# notebook_metadata_filter: all # text_representation: # extension: .py # format_name: percent # format_version: '1.2' -# jupytext_version: 1.2.4 +# jupytext_version: 1.2.3 # kernelspec: # display_name: Python 3 # 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: 3.7.6 # --- # %% [markdown] @@ -21,8 +32,6 @@ # %% {"code_folding": [0]} # Initial imports and notebook setup, click arrow to show from HARK.ConsumptionSaving.ConsIndShockModel import IndShockConsumerType -import HARK.logger as logger -logger.verbose() from HARK.utilities import plotFuncsDer, plotFuncs from time import clock import matplotlib.pyplot as plt @@ -347,7 +356,7 @@ # %% print('Consumption functions across the lifecycle:') mMin = np.min([LifecycleExample.solution[t].mNrmMin for t in range(LifecycleExample.T_cycle)]) -LifecycleExample.unpackcFunc() # This makes all of the cFuncs accessible in the attribute cFunc +LifecycleExample.unpack('cFunc') # This makes all of the cFuncs accessible in the attribute cFunc plotFuncs(LifecycleExample.cFunc,mMin,5) # %% [markdown] @@ -412,12 +421,10 @@ CyclicalExample.cycles = 0 # Make this consumer type have an infinite horizon CyclicalExample.solve() -CyclicalExample.unpackcFunc() +CyclicalExample.unpack('cFunc') print('Quarterly consumption functions:') mMin = min([X.mNrmMin for X in CyclicalExample.solution]) plotFuncs(CyclicalExample.cFunc,mMin,5) # %% [markdown] # The very low green consumption function corresponds to the quarter in which the ski instructors make most of their income. They know that they are about to experience a 70% drop in "permanent" income, so they do not consume much *relative to their income this quarter*. In the other three quarters, *normalized* consumption is much higher, as current "permanent" income is low relative to future expectations. In *level*, the consumption chosen in each quarter is much more similar - -# %% diff --git a/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb b/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb index 7a597fb7c..145f70257 100644 --- a/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb +++ b/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb @@ -88,7 +88,7 @@ " \"Consumption function at each aggregate market resources-to-labor ratio gridpoint:\"\n", " )\n", " m_grid = np.linspace(0, 10, 200)\n", - " AggShockExample.unpackcFunc()\n", + " AggShockExample.unpack('cFunc')\n", " for M in AggShockExample.Mgrid.tolist():\n", " mMin = AggShockExample.solution[0].mNrmMin(M)\n", " c_at_this_M = AggShockExample.cFunc[0](m_grid + mMin, M * np.ones_like(m_grid))\n", @@ -99,7 +99,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -107,60 +107,25 @@ "output_type": "stream", "text": [ "Now solving for the equilibrium of a Cobb-Douglas economy. This might take a few minutes...\n", - "intercept=-0.3438924311862869, slope=1.1045932882920297, r-sq=0.9968896217612458\n", - "intercept=-0.5036317603080804, slope=1.1516307652306588, r-sq=0.9955899362385411\n", - "intercept=-0.45781284276113055, slope=1.1150500956007623, r-sq=0.9761544937568214\n", - "intercept=-0.3871208372015019, slope=1.0853000270407056, r-sq=0.9820100342330428\n", - "intercept=-0.36467468740981196, slope=1.0763760421084498, r-sq=0.9856903333255798\n", - "intercept=-0.3548104709407357, slope=1.07250161746339, r-sq=0.9860331018283279\n", - "intercept=-0.3504754703630663, slope=1.070813036044259, r-sq=0.9861654830885628\n", - "intercept=-0.3485780110442095, slope=1.0700786458110867, r-sq=0.9862204148294936\n", - "intercept=-0.34775160109724684, slope=1.069760449275676, r-sq=0.9862437414876906\n", - "intercept=-0.3473934356438384, slope=1.0696231406893213, r-sq=0.9862537206446442\n", - "intercept=-0.34723891990561506, slope=1.0695641219125485, r-sq=0.9862579935066511\n", - "intercept=-0.34717253299479206, slope=1.0695388444476155, r-sq=0.9862598203445169\n", - "Solving the \"macroeconomic\" aggregate shocks model took 505.02979994900005 seconds.\n", - "Aggregate savings as a function of aggregate market resources:\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/sb/projects/econ-ark/HARK/HARK/ConsumptionSaving/ConsAggShockModel.py:1861: RuntimeWarning: divide by zero encountered in log\n", - " Aagg = np.exp(self.intercept + self.slope*np.log(Mnow))\n" - ] - }, - { - "data": { - "image/png": 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sjlTUcP3YBH51eTJdI8OdjiYtUFML/DlgAWAb3j4O3H6qBxpjZgOzARISEpq4OxHnfbnvGHPTXXyx7xijEzrzyq3jGNY7yulY0oI1qcCttcX/ed8Y8yKw4gyPXQwsBkhNTbVN2Z+Ik46cqOaR1dm8uW0f0ZFtefzaEVw9qpeGTonjmlTgxpg4a21Rw4dXAzu9F0kkMNS5Pfz1k708sW4XlTVu7rygLz+9ZAAdNXRKAkRjLiN8A5gEdDPG7AfmApOMMSOpX0LJB37gw4wifvdJ7hHS0l1kHSzngqRupM1MISlGQ6cksDTmKpRZp9j8sg+yiDiuqOwkC1dmsuKrInp1bs/z3x/N5UM0dEoCk+7EFAGq69y89EEez7ybg8dafnbJAH54UX/ah+suSglcKnBp8d7NKmb+8gzyj1Ry+ZBYfj8thfiuGjolgU8FLi1W/uEK5q/I4N2sEvp1j+T128dx4cDuTscSaTQVuLQ4lTV1PPNuDi99kEeb1ob7rxzErRP7Eh6muygluKjApcWw1rLiqyIeWJVJUVkV3xnVi/uuGERMJw2dkuCkApcWIevgcdLSXXySW8qQnp14etYoUhM1dEqCmwpcQlpZZS1/Wr+Lv3yyl47twlh49VCuH5tAa91FKSFABS4hyeOxvLl1H4+syeZYZQ03jE/g3inJdNHQKQkhKnAJOZ8XHCUt3cWX+8tI7dOFeVeNY0hPDZ2S0KMCl5BxqLyaR1Zn8X+27SemY1ue/N5IrhrZU3dRSshSgUvQq3V7eP3jvTy5bhdVdW5+cFE/fnLxADq01V9vCW36Gy5B7aOcw6Qtd7Gr+AQXDuzO3Bkp9O/ewelYIn6hApegVHjsJAtXZrBqx0Hiu7Zn8U1jmJISq+USaVFU4BJUqmrdvLgpl2ffz8Fa+MWUgcy+sB/t2mjolLQ8KnAJCtZa1meWsGBFBgWllVwxtAe/mzaY3l00dEpaLhW4BLzcQyeYtzyDjbsOkRTTgb/dOZ7zk7o5HUvEcSpwCVgV1XU8/W4OL2/OpV1Ya34/bTC3TEykTWsNnRIBFbgEIGst6V8e4IFVmRQfr+a7Y3rz66nJxHTU0CmRr1OBS0DJOFA/dGpLfinDekXx3PfHMDqhi9OxRAKSClwCwrHKGh5fu4u/fbqXzhHhPPidYVyXGq+hUyJnoAIXR7k9ln98to9H12RRdrKWmyb04RdTkomKaON0NJGApwIXx2zbe5S56TvZWXiccX27Mm/mEAbHdXI6lkjQUIGL35WUV/HQO1m8tb2QHp3a8dSsUcwYHqe7KEXOkQpc/KbW7eHVD/NZtGE31XVufjSpP3dPTiJSQ6dEmkQ/OeIXH+w+RFq6iz2HKpic3J05M4bQt1uk07FEgpoKXHxqX2klC1dmstp1kD7REbx8SyqXDI51OpZISFCBi09U1bp5fuMennt/D62M4ZeXDeTOb2nolIg3nbXAjTFLgOlAibV2aMO2rsA/gEQgH7jOWnvUdzElWFhrWeMq5o8rM9h/9CTThsfxuysH07Nze6ejiYScxgyVeBWY+o1t9wEbrLUDgA0NH0sLl1NygpuXbOGHf91GZHgYS+8az7M3jFZ5i/jIWZ+BW2s3GWMSv7H5KmBSw/uvAe8Dv/FiLgki5VW1PP1uDks259E+vDVzZ6Rw04Q+hGnolIhPNXUNPNZaWwRgrS0yxsSc7oHGmNnAbICEhIQm7k4CkbWWtz8v5MF3sjhUXs33UuP51dRkunVo63Q0kRbB57/EtNYuBhYDpKamWl/vT/xjZ2EZc9NdbNt7lBG9o3jx5lRGxnd2OpZIi9LUAi82xsQ1PPuOA0q8GUoC19GKGh5bm83SLQV0jQjnkWuG890xvWmloVMiftfUAk8HbgEeani7zGuJJCC5PZalWwp4fG025VV13DoxkXsuHUhUew2dEnFKYy4jfIP6X1h2M8bsB+ZSX9xvGmPuAAqAa30ZUpz1WX4pc5e5yCg6zoR+XZk3cyjJPTo6HUukxWvMVSizTvOpS7ycRQJM8fEqHlyVyb+/OEBcVDueuWEU04Zp6JRIoNCdmPJfauo8vPJhHk9t2E2t23L35CT+Z3J/IsL110UkkOgnUv6XjbsOMW+5i9xDFVw6OIY/TE+hT7SGTokEIhW4AFBwpJIFKzNYl1FM326RvHLbWCYnn/byfhEJACrwFu5kjZvn3s/h+U25hLUy/HpqMndc0Je2YRo6JRLoVOAtlLWWd3YeZOHKTAqPnWTmiJ7cf+VgekS1czqaiDSSCrwF2l1cTtpyFx/mHGFQj478Y/YExveLdjqWiJwjFXgLcryqlkXrd/PaR/lEhLdm/lVDuGFcgoZOiQQpFXgL4PFY/rV9Pw+vzuZIRTXXj43nl5clE62hUyJBTQUe4r7af4y56S4+LzjGqITOLLk1leG9NXRKJBSowEPUkRPVPLY2m79/to/oyLY8du0IvjOql4ZOiYQQFXiIqXN7+Nun9UOnKmvc3H5+X3526QA6tdPQKZFQowIPIZ/mHmFuuousg+WcnxRN2owhDIjV0CmRUKUCDwEHy6p4YFUm6V8eoFfn9jx342imDu2hoVMiIU4FHsSq69y8vDmPZ97Noc5j+eklA/jRRf1pH667KEVaAhV4kHovq4T5KzLIO1zBZSmx/GF6CvFdI5yOJSJ+pAIPMnuPVDB/eQYbskro1y2S124fx0UDuzsdS0QcoAIPEpU1dTz7Xg4vbsqjTWvDb68YxG3n9yU8THdRirRUKvAAZ61l5Y4iFq7MpKisiqtH9eK+KwYR20lDp0RaOhV4AMs+WE5auouPc4+QEteJp2eNIjWxq9OxRCRAqMADUNnJWv60bhd/+WQvHduF8cdvD2XWuARa6y5KEfkaFXgA8Xgs/9y2n4dXZ1FaWcMN4xL45WXJdIkMdzqaiAQgFXiA+GJf/dCpL/cdY0yfLrw2cxxDe0U5HUtEApgK3GGHT1TzyOos3ty6n+4d2/LEdSO4elQv3UUpImelAndIndvD6x/v5U/rd3Gyxs3sC/vxk4uT6KihUyLSSCpwB3y05zBp6S52FZ/gWwO6MXfGEJJiOjgdS0SCjArcjw4cO8nCVZms/KqI3l3a88JNY7gsJVbLJSLSJM0qcGNMPlAOuIE6a22qN0KFmqpaNy99kMuz7+3BYy0/v3QgP7ioH+3aaOiUiDSdN56BT7bWHvbC9wlJGzKLmbc8g4LSSqYO6cHvpg3W0CkR8QotofhI3uEK5i938V72IZJiOvDXO8ZzwYBuTscSkRDS3AK3wFpjjAVesNYu/uYDjDGzgdkACQkJzdxd4KuoruOZ93J4+YM8wsNa8ftpg7llYiJtWmvolIh4V3ML/Hxr7QFjTAywzhiTZa3d9PUHNJT6YoDU1FTbzP0FLGst6V8e4MFVWRw8XsU1o3vzmyuSiemooVMi4hvNKnBr7YGGtyXGmLeBccCmM39V6MksOs7cdBdb8koZ2qsTz944mjF9ujgdS0RCXJML3BgTCbSy1pY3vH8ZMN9ryYJAWWUtT6zL5i+f7CWqfRseuHoY3xsbr6FTIuIXzXkGHgu83XANcxiw1Fq72iupApzbY3lz6z4eXZPNscoavj+hD7+YMpDOERo6JSL+0+QCt9bmAiO8mCUobC84ytxlLnYUljEusStpM4eQ0rOT07FEpAXSZYSNVFJexcPvZPOv7fuJ7dSWRdePZOaInrqLUkQcowI/i1q3h9c+ymfR+t1U1bn54UX9+cnFSUS21R+diDhLLXQGH+YcZm66i5ySE0xK7s6c6Sn0666hUyISGFTgp7D/aCULV2byzs6DJHSN4KWbU7lkcIyWS0QkoKjAv6aq1s0LG3N5bmMOAPdOGchdF2rolIgEJhU49XdRrssoZsHKDPaVnmTasDjunzaYXp3bOx1NROS0WnyB7zl0gnnLM9i06xADYzuw9M7xTEzS0CkRCXwttsBPVNfx9IbdLPkwj3ZhrZkzPYWbzuujoVMiEjRaXIFba/n3F4U8uCqLkvJqrh3Tm19PHUT3jm2djiYick5aVIG7DpQxd5mLrXuPMqJ3FC/cNIZRCRo6JSLBqUUU+NGKGh5fl83STwvoEhHOw9cM49ox8bTS0CkRCWIhXeBuj+WNLQU8tjab8qo6bj4vkZ9PGUhU+zZORxMRabaQLfCt+aXMTXfhOnCc8X27Mu+qIQzqoaFTIhI6Qq7AS45X8eA7Wbz9eSFxUe14etYopg+P012UIhJyQqbAa+o8vPpRHovW76bWbfnx5P78eHISEeEhc4giIv9LSLTbpl2HSFvuIvdQBZcMiuEP01NI7BbpdCwREZ8K6gLfV1rJghUZrM0oJjE6giW3pnLxoFinY4mI+EVQFvjJGjfPbdzDCxv30MoYfnV5Mnd+qy9twzR0SkRajqAqcGsta1wHWbAik8JjJ5kxoif3XzmIuCgNnRKRlidoCjynpJy09Aw25xxmUI+OvHHXBM7rH+10LBERxwR8gZdX1bJo/W5e/SifiPDWpM1I4fsT+hCmoVMi0sIFbIF7PJa3Pi/koXeyOFJRzfdS4/nV5clEd9DQKRERCNAC31lYxpxlO9lecIyR8Z15+ZZURsR3djqWiEhACagCL62o4dE12fz9swKiI8N59LvDuWZ0bw2dEhE5hYAo8Dq3h6VbCnh87S5OVNdx28S+3DNlAJ3aaeiUiMjpOF7gW/Lqh05lFh1nYv9o0mYOYWBsR6djiYgEPMcK/GBZFQ+syiT9ywP0jGrHn28czRVDe2jolIhIIzWrwI0xU4FFQGvgJWvtQ2f7muo6N0s25/P0u7up81h+enESP5qURPtw3UUpInIumlzgxpjWwLPAFGA/8JkxJt1am3G6rymvqmPqkx+Qd7iCSwfHMmd6CgnREU2NICLSojXnGfg4IMdamwtgjPk7cBVw2gLPP1JBL+DV28YyKTmmGbsWEZHmFHgvYN/XPt4PjP/mg4wxs4HZANG9+rL6ngsJD9NdlCIizdWcJj3Vbxvtf22wdrG1NtVam5rYo6vKW0TES5rTpvuB+K993Bs40Lw4IiLSWM0p8M+AAcaYvsaYcOB6IN07sURE5GyavAZura0zxtwNrKH+MsIl1lqX15KJiMgZNes6cGvtKmCVl7KIiMg50G8URUSClApcRCRIqcBFRIKUClxEJEgZa//r3hvf7cyYciDbbzt0XjfgsNMh/EjHG9p0vM7pY63t/s2N/h4nm22tTfXzPh1jjNmq4w1dOt7QFgzHqyUUEZEgpQIXEQlS/i7wxX7en9N0vKFNxxvaAv54/fpLTBER8R4toYiIBCkVuIhIkPJLgRtjphpjso0xOcaY+/yxT6cZY/KNMTuMMV8YY7Y6ncfbjDFLjDElxpidX9vW1Rizzhizu+FtFyczetNpjjfNGFPYcI6/MMZc6WRGbzLGxBtj3jPGZBpjXMaYnzVsD7lzfIZjDfjz6/M18IYXP97F1178GJh1phc/DgXGmHwg1VobKDcCeJUx5kLgBPC6tXZow7ZHgFJr7UMN/1B3sdb+xsmc3nKa400DTlhrH3Mymy8YY+KAOGvtdmNMR2Ab8G3gVkLsHJ/hWK8jwM+vP56B/78XP7bW1gD/efFjCWLW2k1A6Tc2XwW81vD+a9T/EISE0xxvyLLWFllrtze8Xw5kUv86uCF3js9wrAHPHwV+qhc/Doo/nGaywFpjzLaGF3ZuCWKttUVQ/0MBxDicxx/uNsZ81bDEEvTLCadijEkERgGfEuLn+BvHCgF+fv1R4I168eMQdL61djRwBfDjhv+CS2h5DugPjASKgMedjeN9xpgOwL+Ae6y1x53O40unONaAP7/+KPAW+eLH1toDDW9LgLepX0oKdcUN64n/WVcscTiPT1lri621bmutB3iREDvHxpg21Bfa36y1bzVsDslzfKpjDYbz648Cb3EvfmyMiWz4ZQjGmEjgMmDnmb8qJKQDtzS8fwuwzMEsPvefImtwNSF0jo0xBngZyLTWPvG1T4XcOT7dsQbD+fXLnZgNl988yf9/8eOFPt+pg4wx/ah/1g31Ex+XhtoxG2PeACZRP3KzGJgL/Bt4E0gACoBrrbUh8Yu/0xzvJOr/e22BfOAH/1kfDnbGmAuAD4AdgKdh8xKtL/UAAABCSURBVP3Urw2H1Dk+w7HOIsDPr26lFxEJUroTU0QkSKnARUSClApcRCRIqcBFRIKUClxEJEipwEVEgpQKXEQkSP1fo63HnaTGk8sAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Consumption function at each aggregate market resources gridpoint (in general equilibrium):\n" + "intercept=-0.3372610753533013, slope=1.101501983704915, r-sq=0.9954435436691946\n", + "intercept=-0.49770810417502803, slope=1.148764968487618, r-sq=0.9953553126411289\n", + "intercept=-0.4434532772502271, slope=1.1084704015532312, r-sq=0.9788789081984757\n", + "intercept=-0.38238447294655753, slope=1.083476337560482, r-sq=0.981992617567353\n", + "intercept=-0.3606690676462716, slope=1.0748578752690268, r-sq=0.9848462641750911\n", + "intercept=-0.35226778863021624, slope=1.0715459518348256, r-sq=0.9876985587567275\n", + "intercept=-0.34604567506357303, slope=1.0691648254292958, r-sq=0.9866770594247857\n", + "intercept=-0.3428956328748779, slope=1.067965401100298, r-sq=0.9882933798795036\n", + "intercept=-0.3499617030152978, slope=1.0705887281378943, r-sq=0.9875037551150854\n", + "intercept=-0.3413358075505669, slope=1.0673655274072105, r-sq=0.9868426813577541\n", + "intercept=-0.34883986525965144, slope=1.0701610285261218, r-sq=0.9889704913159548\n", + "intercept=-0.3415955069944847, slope=1.0674566859760877, r-sq=0.9869303315068265\n", + "intercept=-0.34720296637657155, slope=1.0695477691706028, r-sq=0.9868228850180601\n", + "intercept=-0.3483001346795405, slope=1.069959506783908, r-sq=0.986792626089886\n", + "intercept=-0.34844760061618807, slope=1.070013559334908, r-sq=0.9876030119761063\n", + "intercept=-0.34872912656066, slope=1.07012321783815, r-sq=0.9859823696498053\n", + "intercept=-0.34958719678152816, slope=1.0704398972539522, r-sq=0.98456365592944\n", + "intercept=-0.34564679476085886, slope=1.0689666990306397, r-sq=0.9842652024301427\n" ] - }, - { - "data": { - "image/png": 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/QFktrPLJJz7J00tPc9fAXfz24d/GbT03S/YNUM+N3ByPrGrTkZV847r6fu3ey+DAA03CPQQO387d/y6hWlOYXy/oBcmppphkNdvqtvv9ToY6ZN4+2qkVJF0Md7jwy3vnMHFD0C9AjieP87FHPka2nOU/XfefeNfIu87LPx93PbWq6qpXJ2B1XHXdq5Pq6/nVxnWSSZ2CDEZh8EatIBk1RtqbSOUrekFyOpHVRXtmLU+51nDbPqeFoQ4Xbx/tYLjTpcckEb/zgnPbbwZD0C8wnl56mo8/+nHcVjd/f8/fE/VFd/qWzn8K6w2hXpvQBHxCXSDVPGhTj0hG36E+1t22bwDa9o5LfC3qbntqm5hkNVvWr2szSUQCToaCLm7Z38lw0KU77r3ktt8MryvokiSFgS8D3YACfF4I8dlN10jAZ4G7gTzwE0KI58/87Rqcim+d+Ba//t1fZ8AzwF/e9pd0yV07fUvnD3W3vaYJd1201yZaD0YwtWnTkE3CHYztmiPIdgOpfIXJetvfao6puPo4s5ajUmusB/DLVoaCMrfs62S4w6Xn2xG/E4vZcNtvhtNx6FXgl4QQz0uS5AaekyTpX4UQrzZd8w4gqr1cA/yF9mhwjvjy0S/z6Wc/zZVdV/Jnt/yZcQjza1HPtnXRHm8c/ltruEScAVW0Y3dqgq0Jt68fzJadu/9dQrWmMLde0MS6tQVwLdfqtvsDToY6XNy6XxXuYa0N0Ge47TPO6wq6EGIJWNJez0iSdAzoA5oF/YeBLwshBPC0JEleSZJ6tH9rcBZRhMJnnvsMXzr6JW7vv50/vPEPjbM8lZqWbW8TkzS3/5nawDeodZLc2RDtYNRw2xob+XJT618j355N5lvcdkC2MtQhc9v+LoY7VcEe6pAJ73G3XVYUpgslJnIlJvJFJnJFJvIlHujy8dORzjP++d5Qhi5J0gBwOfD9Te/qA+aa/ntee1uLoEuS9BHgIwCRSOSN3anBFiq1Cr/15G/xjelv8ODog/za1b+2t3axVIqqYCeOqy+r441Okma37fCpQh29Q4tI6m57wHDbQKWmMJfMN/q16257NUeyyW1bzBL9AZnhDhe3X9StOm3NcXude9ttZ6o1TbA14c4XmcyVOFks0fR7j5DdQtRpp9N2dr7vTlvQJUlyAQ8DHxdCpDe/e5t/Ira8QYjPA58HOHTo0Jb3G5w+uUqOX3j0F3hq6Sl+/oqf58OXfPjC7WSpFFWXHT8OiWPa43F1/3a9b1syaye1R9WVrXq2HQXZmIgFWM+V9UJk84j77FqeqtL4cQy6rAwFXdxxUZeWbavCHfY5aNvDblsIwWqlyrjmslW3rb6+VGoUxy2SxKDDxj6Xnfs6vURlO1GnjWGnHedZ/vqdlqBLkmRBFfO/E0J8dZtL5oFw03+HgMW3fnsG25Gv5PnYIx/j5cTL/P71v887R96507d0ZqiW1FgkcRzixxrOOzndKtz1o8gueTd07oOO/WpR0ugkoVJTmE3m9UJks+NezzeJjlliICAT7XRx58XdunAPB120O/f2Xy2KEMwVy4znikzmSy3Oe6Pa2I0jm02MOG1c73UR00Q7Ktvpt9uwmBrmSogahcIsueQU8dwkufwkAf9NdHffd8bv/XS6XCTgC8AxIcSfvsZl/wL8rCRJ/4haDE0Z+fnZoVQr8XOP/hwvJV7i0zd9mjsG7tjpW3rjVEtqIbIu2vFjkBjThFv7gZHMajdJ5364+H51fWtnXbj3eI0ASObKLf3a9bhkNrmN2+5wcdcl3eo+Ei3fDu1xtw1QUhSm86VNbrvIVL5EsflraGkjKtu4r9NLTLYz4rQRddrptVla/ipWlDL5/EmSq5PkclPkchPk81Pk89MoSiO6stm6cbv2n5XndDoO/XrgA8ARSZJe1N7260AEQAjxl8A3UVsWJ1HbFj905m/VoFKr8IuP/SI/WPoBn7rhU+eHmJcysHwEll6CxRfVx9XxJuE2afu296nLpDr2qS/B6J4X7nJVc9uJTQM3qzk2mty21WxiIOgk1uXmrku6W2KSdsfedtuwfb49kSsx05RvS0DIbiXqtHGDz03M2XDcPkurTNZqBXL5cVY2VNHO5SbJ5acoFGYQ+nZLCYc9jFMexu+/Edk5giyPIMvDVKsWFEXhbCCpjSnnnkOHDolnn312Rz73+UhVqfKrj/8q3575Nr917W/x3tH37vQtbaWwAcsvN4R76SXVidfLKa5u6LlU3QTYeZHqugPRPb2XRAihuu2mfu1pratkNpmn1uK2bS2FyLpwh3xOzKYLtH5ymgghSJSrjOc35du5Esvl1nx7yGljxGlTRfsU+Xalkiafb7jtXH6KXG6SYnGB+ve0JLXhcPSrYu0cRpajyPIwTucQpZJgdXWVRCJBIpEgvhwnEY+TyWe57uDV3HH/3W/quUqS9JwQYttjxYxJ0fMARSj8zpO/w7dnvs0nDn1id4h5YQMWnmsI99KL6qbAOp6Qup/k4HtVEe+5FNzdO3a7O01z3/ZUIqu3Ak4lslvc9mBQZl+3m7sP1GMSF4NB2XDbQE0I5rV8eyLf2gqY2pRvR512bvS7NLdtJyrb6LfbaGvJtwWVyhq59BGSWr6dy02Sz01RKjcOtzaZrDidw7R7LqO35wFkOYpTHsZhj1AoVHTRPn48QWLlByQS3yBXaOzsacOEV5HpEi5GlS7cM409NGcSQ9B3OUII/uD7f8C/TP0L//Gy/8gHL/7gztxIehFmn4KZp2D2aVh5Bd15+wZUwb7igw3xloM7c587TLZU1aORqXiOSU3AT26akqy77Xdc0qO67U4Xw0EXfT7Hnnfb0Mi3x7X2v9fLt39Yy7ejWlTSsynfFkJQKi2TWm+Idi43ST4/RaWyrl9nNsvIzmH8/uuR5RGc8giycwS7vY9sNk8ikWBlRRXvxPLjJFYTFEpF/d9bhBmvkOlT2vGKXtw1G+ZykUopRaacJC8tU+qw4zp441n5uhmCvsv5zPOf4Z/G/okPXfIhPnrwo+fmkwqhdpvMPqmK98yT6qAOgEWG8NVw8yfVw4F7Lt1zWwGFEKykS7rTrov2VDzHcrrxw93YAOji1v1dLcK91ztJ6mSqNSZyxS1RyUyhTD1lloCw3UrUaX/dfFvtKJlndW2SvCbaalQyRa3WOAikrc2LLI/Q0XGnFpeo+bbF0kUmkyGRSLCwUBfub5NYTVCqNAqbVtGGT8j0K368QsZVs2AqFSmXNshUkuTNixQ6nLRFOgiEIvSGLyEQCiN7/RTSle0bvc8ARoa+i/nbo3/Lf332v/K+0ffxG9f8xtnrMxdCzbqnH1NfZp+C/Jr6PrkDItdC5Dr1sfsgmPeGDyhXFWbWGi67HpFMxbPkyo0/7122NlWotVx7uMPFSOeFuW/7zfBG8+2o1kVSbwUc2ibfVpQy+cIM+U35ttpR0ogzrNZOvRgpO9V8W5ZHMJt9pNNpNduOxzXhjpNYW6VSbdyTXVjwKTJeIeMTMnK1DalUoFReJ11OUrQUsHQ68YQ68YciBEJhAqEIznYvhXSF5FKO5GJOf1xfzlHKV7nirn4Ov3P4TX09T5WhG4K+S/n69Nf55BOf5Pb+2/n0TZ8+OxOgK6/CS/8Ar3wV0vPq27wRGLixIeKB4Qv+ZHd9vD2ea8m3Nxcle9vtmnA3iXeni85dcJbkbqC5f3s8X2LyNfJtl9nEiJZpnyrfBqjViuTz01pE0hButaOkql9nt4c00R5pKkyOYDa72NjY2CLcq2urVGqNf+8UVryKC59w4hUyzqoJqVSgWFonXVmjZC2pwh3uJtgk3Ha3h0KmVbjXtcdSvvHxbXIb/h4Zf68Lf49Mb9RLMPTmDmY3BP0843sL3+Nn/+1nuaLrCv7itr/Aaj6DAzPZOBx5SBXy5ZfVfSYjt0HsLhi6WZ22vABRFMHCRoFJzWFPNR0E3Ly6tV6UHO5sdttqUVK27Y2/TF6PiiI4UVBz7XpxcjxXZCpfpND0C7DD2qZn2lHZrnWV2Oi2Wrb8AqxWM1o3SWthslCco9FRYlY7SpzDjXxbHkF2DiFJdtbX17cKd3KNaotw2/ApqttWhVuCUp6CJtxlWwlLl4w33KuLtr8vjMPtIZ8us76U2+K6W4Tb2Ya/V9bEW9ZF3OHe+pzfLIagn0fMpmd539ffR5+rjy/e9cUzc8pQtQzj34IX/g4mH1F7wHsvh0t/RJ22vIAKmMVKrRGPNEUl04kspU3Hko00CXZdwI0WwAaFmsJUXnXb9Zx7PFfkRKFEdZv9JDFNtOvDN5vzbYByOblFtHP5SUqlZf0aSbIiOwcbgq21BDqdAwjR9prCXVOaulyEDZ/i0qMSR1WCYo5CeZ10eZWSvYy124U33EMw1I9fE2+Hy00+Xd4k2lnVcec2CXePjG+TeDs9W88irWUylCYmKU1MqC+Tk3juuhPfgw++qf8vRtvieUKhWuDjj30cs8nMn93yZ29dzFML8P2/gBf/QT1Bx90L1/8cHHxQHZk/j8mWqkzG1YLkRDzD5EqWiXiWufU8dY8iSRD2ORnpdHHDSECPSPbasWSvR70wOabl2uNaVDJbLOsLmcwSDNhtxGQ77wi2q/m2bGfEYUNua40DhRCUyiskk62DN7ncJJVKUr/ObHbidA7j812r5dtq1m23hxFCIplMkkgkmJ2Jk0i8TGL5EdbW16g1DeW4hB2fInOR6MMnZOwVTbgrSVLlRcr2CqluGVO4j0AoQn/oGjUqcbkoZMskF1TRnno+xzPfmCC5lKOYbWojdajCPXx5Z0O4e7cXbiWfp/jKUUqTTeI9MUF1uemXldOJbWQEzGdniZ4h6LuIr01+jYn1Cf781j+n19X75j9QPgnf/Qx8/69UNz76Drj8x2HkVjjPtjFu5MuaaGeZWMkymcgyuZJhMdXoJrGaTQx1yBwItXP/FX2MdKqueyAgY7ecX8/3bLJarjbFJI24pHmxlFWSGHbauMzj5D3d/qbCpA3bpqPyhFAoFpdYTU3obYD1rLu1o6Rd7SgJ3qbn27IcxWbrplZTdOE+cSJOIv4MiZVvsLaeRGk6MNst7HgVFxeLMF5Fxl4FilnylXXS5UUq9jIb3S580T4C4Qj9fQ3hLuYaGffUizme+dY4ycUchUzT87ab8ffKDF0a1HNuf6+Ms32rcItymdL4RIvjLk1MUJmbo+4mJKsV6/AwzquuwhaNYouOYIvGsPT2IJ3FIweNyGWXIITgPf/3PZgkE/907z+9ubytnIcf/JUq5sU0XPqg2l7o6z/zN3wGEUKwmi2rTrvuujXH3XwQsMNiZrhTJtrpZqTTRVQT7ojfuef3ktQRQrBUqui5dl24x/NFkpVGJOE0m4g6bS0xSdRpJ2K3bilMqsI93yhM6u2Ak9RqjeEZiyWAS47qQzf1dkCrNUitVmNtba0RlcQTJFbiJDfWNwm3o5FxKzL2qkAUc+TKSdKVVSr2MtYeD75QL4FwhECon0BfGLvLRblQbUQlizmSS1mSizlyqaYVwDYzvh6ZQK/cknXL3q2FbVGtUp6dozRZF29VuMszM1DV4hezGevAQEO0R6LYolGskTBS29nxy0bkch5wdO0oY+tj/OY1v/nGxbxWhRe/Ao/9EWSWIHon3PY76kbCXYQQgqVUkQlNtCfjGV24U4WGW3Lb2hjpcnHLvg5dvEc6XfR5HZiMfBtQJyb1jpJ6H7c2gJNtPlS5zUxMtnN30NvoKpHt9Nm2FukUpUqxeJL13CbHnZ9CURp/EdmsXcjyCD0979Fikiiycxir1U+lUtGFe3wsTiL+b6pwp9apm0eJunC76BMRfLpwZ8iWk6Qr85QcFda73fjCfQRCYfpDhwmEwthlF5VSTRfuk6/keP7bkyQXc2TXG7/82ywmfD0yof3+lqjE7bMjbf6FpShUFhYpTYyroj2pind5agpR1n4ZSBKWcBjbyAju227TBDyKdXAAk3X3xHeGoO8SHhp/CEebg7uH3uB+h2Nfh0d+V90XHroaHvgb6L/urNzjGyFTrDC2nOHYcobjS2mOL2cYW86QLTUKS37Zykini3sP9miO2020y2gDbKasKJwolDfFJFsnJrusbcRkO+9tiklisp2gpW0b4a6Q1zLtRsY9ueJXQvcAACAASURBVGUroN3WiyyPqBm3Vpx0OkewWDxUKhV9T8nxY3ES8f9HYiXOemoDUe9KQcKjOPAJmbDox6s4sVcFSiFLrpIkVZmlaK+Q7PFowh0hErpOF+5qucb6cp7kYpbZV3O8+MgUyaUc6dWm4a02E95uJ71Rb4vj9gQcW4VbCGqrq3pUUtQeyxOTKPmmMf3ubmzRKPLhw9hGRlTxHh7C5HSe0f+3ZwND0HcB2XKWb574JncN3HX6hdB8Er75CXjlYQiOwvv+Dvbdc857xmuKYGYtx3FNuI8tZzi2lGZ+vaBf47G3sb/Hw7uv6CPa5dajkoBrb29TbCZfU1r6tuvCPV1oPfEmbLcSc9q50efW45Ko00b7Nh0lilIilxvfEpPk8yc29XCHkeUR/P4bG5GJc4i2NhflclkX7qNH4yTix1XhTm/o/15Col1x4BMu+sUAXsWJrSpQChmylTXS5RkKjipKjxt/JIS/L8JA+Dr8fapw1yoK6yt5kktZ5o7neOnfp0ku5kivFvQCt8ks4e1y0jngYd/hHgK9LlW4g3ZM28RttXRazbbrWff4OKWJCWobjfs2+3zYolHa779fd9y2kWHMnvP3PF5D0HcB3zzxTQrVAg/EHji9fzD17/DPP6OeRn/Lb8L1v3BOpjczxQpHF9O64z62lGZsJUOxov6JbzZJDAVlLo/4+JGrI+zvcbOv20NPu91w3BqpSlUV7Lrb1rpK5jd1lAw61Hjk7g4vMa2Pe9hpQ96mO6JWK5LJjDcN30w2Dd/Uc3MTDkcEWR4hGLytqR1wCLPZSalUYnV1lZWVBPH4Mon4ERIrcTYyKf3zmJDwKE58QmZQGcQrZKzVmibcSdLlk+SdNardLgJNwh0IRbA5ZWo1hdRKgbXFLHNjOV5+9ATJpRwb8QJC+2tDMkl4Ox0Ewy5iV3fpBcr2LgfmbYRbKRYpHJ9qFCjHt3aWmJxObNEo7tu1qCQWwxaN0hY4NydZpUopxtfHGUuOqY/rY9w7dC8fuOgDZ/xzGYK+C3ho/CFivhgHggdOfWE5D4/8Dvzg86or/5F/VDcangUqNYXjSxlenN/gpbkNXpzbYCqR1R2TX7ayv8fNj17Tz75uN/t7PIx0uoyuErYeVdYcl6yUm3qZTRIjThtXepz8SI9fn5gcctiwbtMJUa3mSKenWtx2LjdBobB5+GYAWY7S2Xm3nnE7HYOYzTaKxSKrq6ssLyWIxxdIxF8ksRInlW2cKmlCol2R8Qsnw8oQ7cKJrVKjVsyQqayRLp8g66xR7fHgD/cRCPUzELpeF26lppBKFEgu5ViYyHHk8RMkF3NsrORRavX7BE+HA3+PzNDlHbrj9nY6MVu2PndRrVKaOtEi2qXxccpzc6C1MUoWS6OzJKY6bns0Sltv7zkxFFWlykx6Zot4x/ONg8n9dj8xXwyf/ezsPzIEfYc5unaUY8ljfPLqT576m27hOfjqR9Ws/NqfgVt/GyyOM3IPQghmk3le1IT7pbkNXllMU9YGcQKylcvCXn740l4OhNq5qNdDh8vIuYUQLJYqTYLdmJ5c37TKNea08za/W+8oicl2wnYr5m2+htVqhlSmPjXZiEuKxXn9Gkmy4HQO4nZfQnf3u/SOEqdzAJPJSrFYJJFIsLiQIB4/qbUDxknnMvrHMGOiXXESFDIjSpB2RRPuUppMOUm6coKMs0qlpx1/OEQgFGEgdIMm3E6EIkivFUgu5licyvHKEydVx72cp9Y0xOUJ2vH3uhg4ENRzbl+3kzbr1l/+QlEozy80CpR14Z6eRlS0wrnJhDUSwRaL4bn3Xs11R7FGImets2QzG8UNxtZV0a4L+NTGFGWtBtEmtTHoHeTq7quJ+WKM+kaJ+WME7IGz+nNjCPoO8/D4w9jMNu4dvnf7C2oVeOJP4Dt/rO4T//GvqSP6b4FcqcoPTiZ5cXaDlzQHXj9v0m4xcaCvnQ8e7ufSsJfLwl76vI49Ld41IZgplFtaAOsdJbmmjhK/xUzMaefeTq8+5h5z2rescq1TqaTINBUl65FJ89SkyWRT93C3X0Fv73s14Y7icEQwmdooFAokEgnm5xLE41Mk4k+rhyjkGn3gZm0Xd4eQiSmdtCsOrLpwr5GqTJN11qj0uPGHwwTC/Qz03dgi3JlkkeRSjuUTOV598qS6aGopR7XSNOTjt+HvcRHe79fbAn3dMhbbNsItBNWmAmVpYoLi+PjWAmVPD7ZYFNeNNzQ6S4aGMNnPzaEoFaXCTGpGd9vj6+OMJ8eJFxquO2APEPPFeP/+9xPzxYj5Ygy1D2Exn/uNmoag7yD5Sp5vTH+DOwfuxGPdphCTT8I//RjMfA8Ovg/e8cfg8L7hzyOEYHwly3fG4zw2luCZk0kqNYFJgliXmzsu6tbFO9bl2rM93c1nTDbHJNOFEqWmjpJuq4WYbONBvaNEddxB6/Y/Tq3j7hO6cJfLCf0ak8mBLG+emhzB4QgjSWby+bw2NZkgHj9OIv4EiXicbD6nf4w2zHgVJ13CxT6li3bFibVSpVpKkS4nSVcmSTtrlHvb8YdCBML9DIZuwt8XVoVbCHIbJZKLOVZmchx7ekYX7kqp6S+Odiv+PhcX39TX6CzpkbE6tn/+W0bf6wXK9aY95D4ftlistUAZHcHsPgOrL06T9eK6KtpJVbwn1ieY3Jikoqhmp83UxnD7MNf0XKMKt18V76Bj96zOMAR9B/nWiW+Rr+Z5T+w9W9+ZPAF/9x51D/m7Pg+Xvu8NfexUocKTk6s8NpbgO+MJfU/3vm43P3n9IDdGO7gs4sW1BxdO1TtK6j3cdQE/uemMyYjdSlS283a/h6hsY9RpZ0S242nb3nGWSomWomRduFvH3V3I8giBwNua9nBHsdt7kSQTuVyORCLByZMJ4vGjJOKPkYjHN51+Y8aryPQIDz6lh3bFgaVSoVJMk6mskSovknIplHraVccdGmAw9LYW4c6nyyQXc8Rncxz//qy2ryRPudDI+B0eK/4emX3X9aiOu0fG1yNjl7d3nkqxSHl6usVxlyYmqS41zovXC5S33dok3FHMgbMbRTRTUSqcTJ1scdzj6+MkCo1fsEFHkJgvxo/t/zGiviij/lEGPYM74rrfCHvvp3kX8fDEwwy3D3Npx6Wt75h7Bv7hQXVs/8f/BfoPn9bHK1Zq/PMLCzz8/DzPz25QUwRuexs3RoO8LdbBTbEOetrPTO5+PpCr1pjIlxhrWiw1lisy19RR0qZ1lOxz2bmv06ttBdx+Bzeowl0sLW+amlQfq9VGR0hbm2fTuPuIPu4uSRL5fJ54PM70dJxE4iXiK/9KIh4nX2y0e1o04a6fftMunFjKFSrFDdKVNdLlBdZdNUo9XnzhMMHQIEOhtxEIhbE61J7pQkYV7tWFHGPPzG27aMouW/D3ympXSdMQjsO1/cCMOkE5u6UlsDw7u7VAeejQOR1938xaYU3PufWsOzVFVVGfv8VkYdg7zOHew3pcEvPFCDjOTQfMmcYQ9B3iePI4R1aP8KtX/WqrM3n1a/DVj4C7B370IQiOvO7HWs2W+J9PzfCVp2dYy5UZ7XLzsbcNc/NoB5eFvRd8hJKt1loEe1xrBZwrNq3F1XaUXO5x8qDWUTIq2xl02LBsM30qhEKhsNBSlNxuT4nF4kOWo3R13dN0snsUq7UDSZIoFArE43FOnEgQj79AIh4nvtLquOvCHVJ8+ESIduHAWq5SKm5ojnuBdblKsceLf1+YYHiIodDNLcJdzFVILuZYW8ox8dy8PvbevK+kviFw+IpO3XGfarWrEILq4qI+gFMX8PLU1NYCZTSK5+679e4Sa3//OStQAlRqFaZT04yvjzOxPqG779XCqn5Nh6ODmD/GdX3X6YXKgfYBLKbd7brfCIag7xAPjT+E1WTlh4Z/SH2DEPDUn8O3fxNCV8GP/MPrrrUdX8nwhSdO8H9eXKBcVbhtfycfvmGIa4f8F2QRs74V8HiLeBdZ2LRcasRp45DHyft7/IxqHSUD2xyeAHXhnnvdPSVWaxBZjtLT866WjNtqVZ1csVhsEu7ndOFuzrg3O26fkLFWapSK61pxcpykrUyux0MgFiEQjjAQulGfnARa9pVMvjCvr3jNN+8rsZvx98gMHAzqjjvQ69p20VSd6tralpbA0uQkSq4po+/pwRYdQb7+ukZcMjx8zgqUdVYLqy1Rydj6GNOp6RbXPeId4bre6/Tukpgvht/uP6f3eSqEEGflZ9QQ9B2gXgy9Y+AO2m3tqpj/f59UV91e9MPwrr96zZZEIQTfm1zj809M8/h4ArvFxHsPhfjQ9YMMd7y5E1B2G+lqTc+363HJWK7IYpNw200SI04713pdWiugjVHZse1yKWgId1YX7foE5aY9JbZuZOcIvT3vbewpkYexWNS+4Xo7oCrcz5CIJ4ivrLR0ldSLk/WM2yuc2CoKZd1xT5K0FMn1ePCPhAiE+omEDxMI9+NwqUXA5rH3maPLqvtezJJNNu0rsZrw98hE9vvVARwtKnH5XrultJbNNnWWTDYKlMmmnN/rVQuU73yn3hJoGxk55xOUza67ua87WWzca6ejk5g/xg19N6ji7YvR396/61x3TRG8PL/BY2MJHhuLc99lfXz4hjN/mIwh6DvAt2e+TbaS5d3Rd6ti/u3fVMX82p+BOz4Fr5ExnljN8Xv/9yiPjiXocNv45TtHef/VEXzn6W7vVKWqCXapRbyb17k6TBJRp53rvC7dbcecdiKO7Xu4VeGeJ5eb0MS7PkE5haI08mmbrRtZjtLXd40+7i7LI7S1qYJan5w8cSJOIvEM8ZU48ZUV0tnWPm6vIutdJT7hwlYVVIobquMuT5Fsy5PtduEbDBEM99MXuppgWD1zEmiZnnz50QTJRbUlMBVv7HU3tUn4umV6hr0EbmocY+YJbF00VUcplbYpUE5QXWwUKCWnE1t0BNctb8ded9yx2DktUIJqUtaKay2iPb4+zomNE1S1FQVWk5Vh7zA3hW7S45KoL3rWBnTOBOu5Mo9PJHhsLMGTY4t0FSa5zDTFx91zuDfuAj5yxj+nIeg7wEPjDzHgGeDKrivh3/8zPPU5uOan4c4/2HYXS75c5c8fneSvHz+Btc3Eb96znw8c7se2TbfFbiSrOe5juSLHcwXGNPFunpp0mEzEZBs3+FTHPSqrL2G7FdMphVt126p4T5xCuB9ElqO6eNeFu76rRBXup4lrUUkq3ShwmjHRLpx0KGoft0+o+7irxRTp8hrpykmSUoZMl4x/WHXc0fDlBMP9yF4fkiRpQzhFkotZXn1yg+TiAsnFLOvLrdOT7Z1OAr0y0UOd+HtdBPpk2jsc2+4rgaYVr5taAsszM3qBEosF29AQziuuxPY+zXHvQIESoFwrM52a1sW7/tLsurucXcR8Md4WeptepOz39NNm2t1ypSiCo4tpHju+zPFXX8S28gIHpSl+sm2aT0sztNk0o2LuBP8tZ+UejH3o55jx9XHe/S/v5hOHPsEHV+Pw6H+GKz4IP/TZLWIuhOD/HV3m9/7vqyymitx/eR+/9o59dHrObWZ5upQVhal8SRXubIHjmog3Fyed2tRkw23bGJXthE4h3MXioibWqtvO5ibI56daMm51pWsU2dVw27IzisWixgT17YD1Y8vqwr2RaixrMmnC7VNkfSe3o2aiWkiRrayRKq+SI42l04k3rB6kEAz3EwhFcAeCqnALQW6jTHIxy9qidnyZlnNXy017vwN2bfimEZX4up20vcbqBCEE1eVlXbDrLYGbV7yqE5SqYOsFykgEyXJuIwghBIlCoqW7ZHx9nJOpk7rrtpltjHhHdNEe9Y8S9Ubx2t/4rMVOkcpX+MErrzJ35LuI+eeIVse51DRFu6R+b9banJj6rkAKXQl92oun7y0t0TP2oe8iHh5/GIvJwn1JTcwPPgj3/rct/4MXNwr89tde4ZFjcfb3ePjsj1zOVQO7o6ijCMFsscwxTbSP54ocyxaZLhT1sybbJBhx2rnS4+RHe/zsdznY97qOe7Ep257YVrit1k5cclTLuDUBd45gsbQDUK1WWV1d1Y4te0YV8PpaV828mJB04R5SBvEJF86amVoxTba8Rqoyz4ayQbbDQXu4h2C4n4HQRQTDETzBTt3VFrJqS+DMKznWFsd18W4+NNjpseLvlbn4hj78fY1DFaz21/7Rq6XTlMbHVdEeb4zAK+nGvpW2ri5ssZi64lUTbtvQECbHuW9LLdVKTG9Mb+nrXi81Boe65W5ivhhvD79dH8qJuCO73nVvRpQyzBx5ksVXv4e08ByR4nFul9ROmhomMv5RrAMPQP/V0Hcl5o7Rc3pKmOHQzyHFapFb/vct3GDv4Y9fegQueie8+wstmxKFEHzl6Rn+8FvHEQJ+8fYYH7p+YMdaDxPlCkezBY5nNeHOFRjPlSg0nesYsVvZ77KzT3awX4tKhp3bL5iqnzeZy46TzY2Ty47rwzibhbtelGxk3NEW4W45ASeRIL68QnKj+SCFhnB7heq6ZaVN3Q5YXiNVWSVbW8cUtNEe7iEQiuiuu72zC5P2g1guVvVTcNY00V5bzFFIN/7yqJ/2Xl8yFeiT8fe4sLte2xnrObcu3ttsCnS71e2AsSh2bUugLRrF3N7+Jv+PvnnqrnssOdYi3ifTJ6lpWx3tZrvquv2xlr7udtu5v9+3TK0C8VcpnvwBq2NPYV56gc7SScyo3/tLpm42fAdxDV9Nz0XX09Z7GVjP/s50w6HvEv515l/JlDM8MDMJo3fDu/9Hi5hnS1V+9eGX+cbLS9wU6+BT77yEsP/cLNUXQrBQqnAkk+flTIFXsgWOZAoslxsFyg5rG/tkOx/oDbBPtrPPZWfUad9ySHCdSiWli3Y2N6aLePMATqMd8AFNvGPI8ggWS71oqB5dtrCQIB5/viHc642jyyTAI5x4FfUgBZ8i41IsKMUsufIaqfISmdo6Wb8FT6iLQChCX+QqDoYi+Lp7MWkraeudJfGZHMefOqFGJgs5MslGF0ybzYy/20n/JQF9X8nrtQQKRaEyN9eISsa1hVMzM1BThVAfxLn6KlW4tZe2rq4daUGt1CpMpaYa4r2N6+6Rexj1jXJL5BZG/WqHScQdwXyenVsLqM0J6ydh4TnEwnMUTz5DW/wIFqWIHXAKF0elKM/7fwz3yGH2X/k2err66Nnp+97E6zp0SZL+BrgXiAshLtnm/TcDXwNOaG/6qhDi917vE+9Fh/7Bf34Xq6vH+bp1FOn9/wRtjQMeJuMZPvo/n+PEao5fvnMfH71p6Kwdt6YIwYlCiSOZgibeeY5kCvqGQBMQle0ccDk44HZwscvBPtnxmrtKarVCoziZHVNFfNOSKbPZhcs1qgq2K4ZLHtUGcPzax6jphwXrjnslzlpyDaXprwEPDnw1Ga9w4VNk3IoVilmy5SSpyirpyhp4zbj7Ogn2q/l2MBTB19uHuc2ifS6FVLzQ4ri3dJaY1c4S3W33ugj0yrj9r91ZAqgLp5pz7nH1EGFR0Aq19aPMtHbAunif60GcZtYKay07TMbWx1o6TOpZd1206x0m56XrrpNbg8XnYf5ZXcSlglqYLWHlZWWAl5RhEp5L8EYPc8XBS7liwI9lFwzpvVWH/iXgc8CXT3HNE0KI11gXaAAwtfgMz6cm+cWqFenH/rZFzL/x8hK/8tBLOKxmvvIfruG64TO77CdZqfJsKsezqRzPpHO8nCnoWwKtksQ+l517Orxc4nZw0OVgn8ux7di7olQpFE62uO5sdpxCYYb6Pm6TyYrsjOLzXauJtyriNluPXjRMpVKsrKwQjx9Vi5PLK6yurVFTGgug3JpwH9BOefcodqRSTo1KyqukKsfJtZtw9XUQCEfoDF3C/nA//t4QbdoZj82dJSePLujCvb6SQ6m2dpb4e2VGDnXqkUl75/YHKuhfi1yO0uSk3g5Yd90t/dyBALZYFO97Hmi47pGRHTvKrGWHSXJ822nKTmcnMV+Mm/puYtQ/yqhvlIjn/Mu6W6gUYOlldQX1girgrJ8EQCAx39bP0+WDvFAbZswcpXPkcm7a18s9o+ffqozX/b8khHhckqSBs38rFzYPfe/3aROC++76HNhVZ1OpKfyXbx3nf3z3BFdEvPz3H72S7va31sEihGAyX+KZdI5nNBGfyKvDKG0SHHA5eV+3nwNuBwfdTmJO+7aj7+Vykmz2GJnMUbLZ45rrnkKIem5swunsx+XaR3fXfbrrrq91BcjlcsTjcaYm51hZeVbt5Y7HKVca2bMLO76azMUipDpuYcdUKpArrZEqJ0hVxsi6Qe4NEIz0EwjtZzTcj78vhMVm159zPlVmbTHLK48va1FJdmtnid+Ov0+m/5LGIM6pOksARKVCeWZmS85dmZvTr5EcDmzRaKOfux6XnKMTcbZjo7ih93TXO0yaNwfWd5jUpynr7ns393WfFoqinhmgOW8WnoWVo6BNkRYd3UxZR3ncchPfyUU4ogzS29nB26/o5N5YB7874MfatvMu/M1yWkVRTdC/forI5WFgHlgEPiGEOPoaH+cjaN30kUjkypmZmTd73+cVpWKKW//heq6x+PmTH3scUPPyj3z5WZ6cWuODh/v5jXsuelPfSEIIjmQLPJbM6AJej078FjOHPDJXtasvl7qdODa5TiEExeI8mcyrZLKvktUem+MSm60bl2sUWY7hkmO4XKM4ncOYzaqglstl1WnXX1birKyskGsae7dj0doBXfiFS90QWC6TLa2qjrucoOqsIfcFCIS14mSov2VfCUAxW2kpTJ6qsyTQ1BJ4qvWu9a9DvS2wJeduPljBbMY6MNASldiiUSyh0Dnv565TU2rMZGYacYmWeTefkhOwB3TBrrcHDrYP7rppyjdFZlkV7rqAL74AJa0byOqm0HkpE20xHs1GeGi5k7mqF4fFzPUjAW4e7eTm0Q5Cvt1/+HMzZ7so+jzQL4TISpJ0N/DPQHS7C4UQnwc+D2qGfgY+93nBI0//CSmTxAP73w/ARr7MB7/4DEcXUvzJey7l3VeG3tDHU4Tg2VSOb6ym+GYipfd5R5027u5o55Am4MOO1hFwIWpks2NkMq+QyR4jk3mVbPZVqtX69KNJ3cntvQaXez9u10W4XPtbcu61tTVmZuKsrHxPj0vWm3q527TpyT7Fg0/bV2KvCgqFNdLlVVKVeeZNWVZ72wkO9xOMDDAQvpFgeAC7q7G6oFxUd5ZMPr9BcmFBF/H8Np0lI4e69ALlqbYE1qmlUqpw1wdxNNetZBpToG3d3Y2DFeo599AQJuvOTeVmypnWMfjkGJMbkxRratG2TWpjoH2Aq7qvUl23tsdkN+3rfkuUsrD0YpOAPw9p7RQnUxt0XUz14nczad3Hv6VDPDzjZHpSrV0MBWVuv0YV8KsH/RfsUYlv2aFvc+1J4JAQYvVU1+2louiHvnSIZaXENz74Amv5Gh/4wveZXs3x399/Bbdd1HVaH6OiCJ7eyPL1xAbfWk0RL1exShI3+d3c09HO7YH2LUXLcjlJOv0SqfQLpFIvkE6/rG8KNJnsuFz7cdeF230RLnlUd93ZbJbl5WWWl5fVvHtTzi0h0Y4TX03Gr7jwCReyYqZaSKnCXU6QUdYxdzoIhEMEIwMEw6qAu/yN0fJaVWFjJc/aQpa1Ba1IubmzRNtZ4u9znXZnCWhtgVNTW3Lu6sqKfo3J42mcP9nkunfy5HdFKMxn5lsc93hynMXcon6N1+bVi5P1rHvYO4zVfH6ugdhCrQqJ443Me/45SBwDrbMJbz+EDkHflax4LuHfNrr5t4k0T06tUajUsLWZODwc4O2aC+8PyDv7fM4gZ9WhS5LUDawIIYQkSVejNkmsvdWPe6Fw4uR3eFYq8fMdVxLPVnn/Xz/NUqrIF3/iKq4feX3nlK7W+MJ8gr+eT5Cs1HCYTNwacHNPh5fbAh7cWsugolRIp4+QSr9IOvUiqfQLWrFSPTjY5dpHd/c7afdchsdzAKdzEEkyoygK6+vrzM8ts7T0XVXEl5bJNi2bas65/YoLj7BBMUemtEqqssxGZY31dkkdwokMEApfzWWR/paWQCHUY8zWFnKMPzOjivdCtuXgYJNZwtvlpHu4nYtu7NUnKU+1swQabYEtgzjbtQWOjCBfe03j5PcdbAusk6vkmFif0B13/aScfFXtyTdJJvo9/RzsOMh7Rt+jd5l0OjsvnI2aQkBqvqlo+TwsvggVLbKze9UJy/33Qt+VlLsu55mEicfG4jz6VILJeBaYJOJ38t5DIW4e7eTaoQCObc4svdA5nbbFfwBuBoLACvA7gAVACPGXkiT9LPAxoAoUgF8UQjz5ep94rzj0P3noXXwlO8FXbvoKP/PwOmvZMl/60FUcep2pz/VKlc/PJfjCQoJ0VeG2gIcf7fHzNr8Hp9mkjpjnxllLPk5y7Qk2Us+iKGrx02rtoL39ck28L8fjOYDZ7KBSqRCPx3Xnvby0xPLyCpWqmhGbkPAKmYDiIqC48QsX1nKVXFF13BvlBBVHGbkvSDDSrzvuQCisFyihvps7q4v22oKadZeLjS4Wl99GoM9FoNdFIKQ6bm+XE/Mp6ghCCGpra1sKlNu2BTYP4uxwW2D93hdziy2Oe2x9jLlMo7jqtrj1gZx6oXLYO4yj7fzqtHhdiik1667HJgvPQlb7q8lshe6DqoBrDhz/EIupor6p8HuTq+TKNaxmE9cM+fUsfCgoXzi/5E7BqRy6MSl6FimXMtz294e51NTOC8u/T6pQ4cs/eTWXR167kyBRrvBXcwm+uLBKrqZwT0c7H+/v4oDbSa1WIJn8LonVR0iuPUGprP4QyHIUv+962tuvoL39cmy2HnWD3doaCwsLzM/PMz87x0oirk9RWmgjoLjwKy4Cwo1PcSCKWdKlBBvlOOnaGpYuJ4GBATr6B+mI9BMI9+P0NHqPaxWF9ZWcKtzzWdY0Ec9t9giu3AAAIABJREFUNFa86hOUfS5NwNXoxHaKAiVsagscr2fd463nUGptgc1RyU62BdYpVAtMrk+2dJlMrE+QqagZvYRE2B1u6ese9Y/SI/dceIJUq8DKK43YZOE5WB2n3uZKYAT6NOEOXQldl0CbjUpN4bmZdR4di/OdsQTHl9WvXZ/Xwc2jHbx9tJPDwwHkPXiEojEpukP8+/f/lHWTRCpxDZlilb//D9dyILT9MEZFEfzlXJw/PblCUVH44U4vP9/fxYitwurqt3j5xL+ylnwCRSnS1ubB77+BgP8m/P4bsNt7yOfzLCws8OqrY8zP/xsLc/MUy6qwWmijo+bhoOgnqLhxKW2U80lS5QTrpWPMWfIkwwE6Lx6iu/8gB/oH8fWGMGuOtn7q+8qJLGsLJ3Xh3ljJI7TDk+srXvtGvarr7lM3Bcre197NDSBqNTUuGRunNDZGaWKc4tg4ldlZ/RrJ6cQ2MoLr1ltaxHsn2wJBdd0r+ZWWuGQsOcZsZlafYnW2OYn5Ytw9dHfLKLzTcn51VpwWTdOWeuFy6SWoab/gnUHVdR94QFtUdQU4GuYmni7y2AtxHhuP88T4KplSlTaTxFUDfn797n3cPNpJtNN14f3SO4MYDv0s8uEvXcVMrcDyzB/xjx+9kUv6thfz51I5PjE2x7FckbuD7fz6cA8h0zpzc19kYfEfqdVy2GzddHTcTkfwdrzeq8nnS0xPTzM1NcXc7BzJdXWgRQJ8wkVHzUOnaMdXs1PJJ0mWlkiWllDawdvfS8fAEJ0DQ3QMDOLyNYqUlXKN5EKO1fkMq3NZVuezrC1kW0599wTt+mrXemzS3nXqQRyA6vo6pbFxSuNjqvMeU4uVoqgVQE0mrP39qmCPxlTxHh3F0te3Y22BdZpH4Y8nj+vuO1VqrDHoc/XpbYH1LpM+dx8m6fztaz4l+WQjMqmLeF4rn7XZoecyLTa5QnXh3kjLErpqTeHFuQ0eHYvz2FiCo4tqu2GXx6YVMzu5fiSA234BtFeeQYzIZQeYnf0u9zz6MS5fDfPhH/pb3hbr2HJNulrjD6aX+NuFVXpsFv4wFuIGxyozs59neflrgEJX572Ewz+Bw7Gf+fl5JicnmZqYZDmuxi02LHTX2ulU2gkKN23FAqnCMsnSEnlbDs9gDz3RGN0jMbqHo/z/7d13eJTXmffx7xnVUa+jLtRnJBC9gw0C4uAeO1mXrB23hLjFMevEceJ9N/vasd+4ZFM2u0n8et3irJ3E9iaYOMYFbFyoBmxA0khCEqihUe9TNHP2j2c0EiBAgEYjjc7nunyJ0TPMHFnw4+g8575PSNjw3f6+Lhut9b201vXQVq+Fd2fzcPl7sD6QhPQI4tO1pZL4NG1f95k6BQK47Hat6ZR5RHCbzQy2DJ+qHhAbS4jRSKixgJACo7uKMtcn3QJP1mXr8gT30Kx75MHCQw2oPEsm7o+RwZE+HrkXOaxw/OCJ1Zbt1e6LAhJNw8smaQvAUAQBpwZxa6+ND80tbDNb+Kiyla4BBwE6wYLMWFabtKUUU3KkmoWfgVpy8YHnP3qSACmZk3/3KWEupeRvLV08XFlPi32Qb6YncFdiB611D7Gz5V10uhDS0m4gNeUWqqo6eXPTQWprNuFwDqJDYHBFs9CZS5IzAkdfK63WetqdZfSmR5I0L5+0vEUszC8gMj5xuNzeMsDRw9201jVpIV7fe0K3wMj4UBLSI8hbmERCegQJ6RFExoeeebnEXYxjNZu1dW6zGVuFGVtNLQxq4efZXbJ8OSFGLbhDjQUEJCT4/C+tS7po6GmgvKNcm3W3V1DeUc7xvuGiqgR9AsY4o3bEWZy21j0jcsbUbEA1Vi4XtB85sdry+CFwV5kSmaKF9rybtRl4ylwIHX2b59DRa9vcNzS/qNd+okmICOFLRUmUGA2szE8gWq9m4eNBzdC9oK+/h0tfXUqmTc+z39x1QhGD1enioYp6Xj3ezqwIPT/NjSOi5dc0NPyBwMAo0tNvJjrqGg4cqOKzPZ8xYBsgUurJcMaT6owhuH+A1oFjtMvjROQnkVk8h/TCmcSnZ3rWvPs6bTTXdmOp7cZytBvL0R5PJaUuULh3lmihnZihrXeHhJ35L5Sztw9bZYUnuK0VWoif0KM7NYXQAqM7uPMJNRq13SUTfLjCaKyDVqo6q7RZ94j17pHbA7Ojsj2hbYo1+VdRzpn0Wk6qttyn7UQBCI6A1HnDhzOkL4So1DO+3NDRa9vKLWyvbKW9z45OwNyMGEqMBkpMBopSorzWfM7fqRn6BHv5nf9HR4CO2zOuOSHMj9sc3H6ohn3d/WyckcQ/hu2lpvQxuuxtpKffQnDQV9mz8yBlFS+ClGQ6Eylw5GDtqqPFfpjjmRFkLC5m3qyvkZSThy4gANvAIJbabg68V09zjRbeQ7tMdDpBXFo4eQsMGLKiMMyIIjYl7Ixr3VJKBpubsZaVYSsvx1pWjtVcjuPo8E1KXXg4IQUFRF12qXvGbfR5Mc5IrQOtntAeCvDa7lrPjcrwoHCMsUauyr0KU5wJU5yJ3JhcQgMn50lQ48ref2q1ZZf7eysCIKkIZl4zvPNkDAc0DB29ts1sYZvZwoG6TqSEuPBgVhUkstqYyMX5iVP27NupRM3QveDGZ+bTHGDj7Zv3ERysdVXc29XH7Ydq6HW6eDonlOzWx2lv/4jIyGJiY+7lg/eraTjeSLAMxOhMJbk/gJaBKkKLYslZtJisOfMJ1odhGxiksbKThooOGis6aanr8ewAi0kKwzAjEkNWFElZUSSkRxB4huIK6XBgq652h7cZa3k5trIynF3DN/qCMjMJNZkIMRm1jwVGgtJSfb5cAu4+Jt1HTwhuc4f5hO6BKeEpnpuUpjgTxjgjaRF+fKNyJJcTWswnVltaSsF9GAXRmdoNy/SFWoCnzIbgsVVUdg04+Liy1XNDs7XXhhAwOy2a1e5ZeHFaNAFqFj7u1Ax9Au0r/ZBDIQ6udBV4wvy/G9t4qKKelJAgfp64F13VE3SJYDIzHuTA7ijeqvyYMBnMMkc+wV3ttIZWEnHpxSy+6HpcMpCmqk72vNVIg7mD1roepISAQB3JOVEsujyblJxoEmdEEhp++qUNZ3e3FthDs+7ycuxVVZ7GUyIkhJCCAiIvuUQL78JC7QT4Ef1VfGmoorK8vdyzy6Syo3K4j4kukLyYPJanLvfMuqfsSTnnq7txxLq3u1GV3V3xGxKthffKjcMFOxGGMb+0lJKK5l62lmuz8M+OduB0SaL1QVxckEiJMZGLCxJJiAg5+4spXqNm6OPsweeuYIuulpdXPospZwn/UtXA8w2tXBQTyn38CnvHFhLiv0yrZS07Pi1FuiRFg2mEt7dhT3cw+/L1JOUVU7mnmYrdzVhqu5FSW/tOzo4mrSCGNGMsSdlRp2376uztxXroMNZDBxk4dBjrwYM4Gho81wPi4wk1mQgtNBFiKiTUZCQ4K8unlZRDhvZ2n7zL5FjP8JJPdEi0pxjHFGfCGGskJzqHoFF2VfgtW8+Iakt3gPc0add0QZA8a0TBzkKIy4Vz3PrZZxvk0yNt2iy83EJjl/aPZ1FKFCXuHSlzM2J8djzidKVm6BOk39rHLlnDbJseY85i7jhUwztt3dyRFMj6zntw2BqICP827/4deq0HyR40kNzlgLxeFtx5Pbb+KA5/3Mjbz36Kc9BFYmYkCy7LIq0gluTsqFGXT1xWK9bSMqyHDjFw6CDWg4ew19R4rgelpRFaXEzM9dcTWmgi1GQiMPHULZS+4HA5PIcLm9u1/8o7yk/Y250RmYEpzsRVuVd5AjwpzLf9VyaccxAsh0+stmwpx7PWFpcDWSuHAzy5GILO/X6AlJKa1j7PjpRd1e3YnS7CgwNYmZ/AfWvzWW00XHDPfsV7VKCPo5e3PEF7oI6bDVdy5+GjvNPWzY+SOyhu/g4yIJxOy21sL+snwRXJvL5M+kIaMG24lrbGCN5+ppGuliME6wMpWpFC4cpUEjNO3dfsaGpiYP9++vcfYGD/fqzl5Z4tgoGJiYQWFxN15RXoi4sJnTWLwNjJcWBBl63LU1E5NPM+0nnEc+BCSEAI+TH5rMtc51nrLogtIDzIf7rkjYmU0HlsuEnVULXloLtXjT5Om3HP/Io7wOdD2Jn7Ap2J1eFkZ3UbH7j3hh9t03b95BkiuGX5DEqMBhZO8UMfphMV6ONo+/G/kRDoYkf6dbzV2sX9sWZmNv2IEH0xn+2YT3uXlbmOTETXMRK/Uky8WMu7LxzF1tdMan4Miy7PIne+4YSZuKOpib5du+jftZu+XTsZbNR+rBZ6PfpZs4i/7Tb0c2YTWlxMUNLYWvF6k5SS+t56z57uof3dI1u/xofGY4ozsbxouedm5ZQ/5ux8WbuGqy3r3Xu++9wFWAEhkDIHFt42vG0wNuuEasvzUdfezwcVLXxQbuGTI61YHS5Cg3Qsz03gmyuzWW00TNjh5Mr4moZ/g7zjgPljvgixsdSWxaZOG3dF7mdR+08ICVrD1ndTCXYGsbQnnoDsAZK/fBP73rHQ03aEjMJYll2TR2KmNht32e10v7uVvu0f0bd7l2e7YEBMDGGLFxN22+3o580j1Fjg8/3dNqeNqs6q4Vm3++CFXoe757rQkRWVxRzDHK6Lvc4z854We7tH4xzUdpmMDO8WM8ONqvIhb93wurdhJgRe+FY/+6CLvUfbtVl4uYVKi/b9yYjTc/3CDFabDCzLiffbQx+mExXo4+TVT54EHXyWcCPfCv+Mld2PY+9fx0d7k0lxxpLR7SBunZGag2GYXzlGfHoEV943h8yieKTLRf+ePXRtepPuLVtwdXeji4wkbNEi4r7+dcKWLCGkoMCn/UyGyuHL2ss8O01qumpwurfAhQWGYYwzcnnO5Sfs7fa71q/noqvBHd4jjkdzaEsanqWTWV8dtVHVhWrutmr9wstb+LiqlV7bIEEBgiXZ8Vy/KIMSk2HatJudTlSgjwOrrZ+d8ggmawg5RQ5W9z5Oa9NKyipTmGlPJVzXCcaL2P23ASLi7Ky7tZCCxcnYj9Zi+dmLdP1tM4ONTQi9nsgvrSP6yqsIX7bUJ7tOhnaZlLeXa+HdpoX3yCUTg96AKd5ESUYJhfGFmGJN/t2EaizsfSN2nbhn4D3u/2cBwdqNyvnf0Na90xdAbPYFL52M5HRJDtR1sK1cWwsfanSVEh3KlXNSKTEmsjwvgYhp2G52OlHf3XHwzN+foC1QR45YwLren9Bct5Qj1bks6k8idEYI9Y3L6TtkZdEV2cz/ciaupgYaH/oB3W9uBp2O8BXLMWzcSOSaNejCJ+4m4NABw0OhXdZehrndTIdN6zkuEJ7Tcq4zXkdhXCHGOCPxet+2rfU5lwtazSeGt+Xw8PFosVkwYzmkL9Jm4cnFEDj++7Pbem3uEvsWtle20Nk/3OjqwfVG1ehqGlKBPg52HN9MXJCLS9L3cfzoUmprTczvjSPImIH5gJ7IOB3Xfm8+CZF2Wh59hM7XX0cEBRF3+23E33rrhGwjtDvtVHZUnrBkUtFRwYB790SQLoi8mDxKMkswxZkojCv0377d56rXMiK89554svxQwc5F3xsu2An3zj0Cl0tyqLHLMwv/vF4rsU+ICGatKYkSUyIX5SUSfZa+PIr/UoF+gT4s/YTSUBtL+uOxN6RTf7SQeT0xdEdl0r4vFOOSJFZenU7PK7+n6r+eQzocxN5wA/Hf3kCQYeyVeufC7rRT2VnJ4dbDlLaVUtpWSmVnpaf9a0RQBMY4I1/N/6pnvTsnJocgnQoCHFZtm6Bn7Xuvto0Q3L1OZkLxPwyXy8fnnXPBzrk4XYn9nPQY7l9bQIkpkVmp0arRlQKoQL9gf/z4cVwhgqygJBqOzmROTySWgAzsbZGsu81EmuMIddfew+Dx40RecgmGB/6J4Bkzxu39HU4HlZ2VlLaVcrhNC/CKjgpPeEcFRzEzfia3FN1CUXwRhfGFpEekqx/DQdvz3V4N9XuGw3tkm9iodC24F29w9zqZA8He/YlFSom5ucczCx+txH5VQSLxqsReGYUK9AvQb+2nPKCWwoEggi0zMfWE0+DMIjAglqvuLkD8+XfU/fcrBOfkMOMPLxO2YMEFvZ+UkobeBg60HOBzy+ccbD1IRUeFpzgnMjiSovgivlH0DYrii5gZP5O0iDQV3kOGTtip3zPcsGrAfUZpULi2dLL8XveNy4UQmTwhwxoqsd9abuEDs4WmESX2d67KUSX2ypipQL8AT//lh7QE6pg5kIexK4Zj1lyiEhJYtyaI3vu/geNYHXG33ELixvvRhZ57ubTNaaO0rZTPLZ9zoOUABywHaLNqR3yFBYYxK2EWNxXeRFFCETPjZpIeqWbeHoN27XDikWvf7UfcFwUYCsF0xfCNy0TTWdvEjpfTldhHhASyMi+B+9clsqpAldgr504F+gUo7/iY2GAXK+oWc6w3h8QZyayIOkDH3b8gKDmZzBdeIHzJ4jG/nnXQyj7LPnY27uQzy2eUtpV6lk4yIjNYlrqMuYlzmWOYQ15M3vSsrBzNyHL5+r2nHk4ckaTNuufdpIV36jwImdjj4s5aYm8ysHCGKrFXLoxKhPP07v7NlOptLOxLoL0jh5S8VBa0/5Xul14j6oorSP7XH5+19axLujC3m9nRtIMdjTvY17wPu8tOoC6Q4oRibi66mbmJc5mdOHv6VleOxtqtnapTv+fUcvmhw4kXf2v4xmV0+rju+R6ruvZ+rbjH3MKnqsRemQAq0M/Ta5/+EmeEYEb7YtJMWcz64nf07/yYhHvvJeGeu0+79OFwOdhev50tNVvYdXwX7dZ2APJi8rjOeB3LU5ezIGmB2i44xDkILWXDM+/TlcsPhXfSzFEPJ54Ipyuxz4wL44ZFmaw2JrJUldgrXqQC/Tz09/VSFdKIaSCIIt1XKHz/UezHakh94qdEX331qL+nbaCNP1X8iT+Z/0TrQCtxoXEsT13OstRlLE1ZiiHMO1sYp5yhQxrq90x4ufz5UCX2ymSiAv08PPbyd7GE6pjVX4Dp7X9B2nrJfPbZUdfLze1mXi57mb9V/w2Hy8GKtBX82PhjVqatVGvg9j5oPOBe+95zYrm8Lkg7Em3eze4bl+NfLn8+hkrst5ZrIV7adGqJ/Yq8BMJVib3iA+pP3XmocR0g2uli/fZggrAz45X/JiQ394Tn1PXU8fSep9latxV9oJ5r86/l64VfJyc6x0ej9jGXC1orTgzvkedbesrlF2oB7qVy+fNx2hL7GbH8YL2JElMixiRVYq/4ngr0c/TXLa9SprexoC+enLoqMl966YQw73f08+zBZ3nx8IsE6AK4Z+493Gi6cXqdbQnanu/6vVC/2718sm+Ucvl/0sLbi+Xy52NMJfb5iUTrVWWtMrmoQD9Hf698jsFIQdHRDDKfeZBQYwGg7S1+u/Ztnt77NJZ+C5fnXM7G+RtJCvf9oRNeN9Tnu3738Pp3W5V2Tejc5fJfc4e398vlz0fXgIOP3LPwDysstPbaVYm9MuWcNdCFEM8BVwAWKeWsUa4L4JfAZUA/cKuUct94D3Qy6Ovt4UhoAwXWQDZcfTf6OXMAbVb+6M5H2Vy9mcK4Qp5e9TTzDPN8PFov6rW4l02GSub3gaNPuxaeCOmLYe4/QsZibQthyJm3b/rCmUrsVxUkUmJK5OJ8VWKvTC1jmaG/APwaeOk01y8F8t3/LQF+4/7odx578X6OR+go6ssjYsUKAI50HuGBDx6guquau+fezYbiDQRMUMXhhBi0Q/NBLbjr3MsnnUe1a7pASJ6tFexkLNbWv2Nm+PzG5en02Qb5pKrVU6GpSuwVf3PWQJdSbhdCZJ3hKVcDL0kpJbBTCBEjhEiRUjaN0xgnjaO6z4lyurh75fcA2Fy9mUd2PII+UM8zlzzD0pSlPh7hOOhu1EK7zr180nQABrXgIzJFWzZZ/C3tY8ocCJq8JxJJKalu7WNbudapcHeNKrFX/Nt4rKGnAXUjHte7P3dKoAshNgAbADIzM8fhrSfO5s0vU6q3Mr8vjvz5S3hi9xO8XPYyC5IW8OTFT07NfeQOKxz/YnjmXb8Huhu0awHB2nLJom8O7zyJTvfteMfgdCX2+YYIbl2RxWpjoiqxV/zWeAT6aD9fy9GeKKV8BngGYOHChaM+Z7LaXPN7BqMExSGreWTHI7xe+To3Fd7EAwsfmBr7yaWErrrhmXf9bmj6YrhVbHQmZC517/meXNsGz0aV2CuKZjySqB7IGPE4HWg8zXOnpIH+fqr19eRbA2mZ6WJT5V/YMHsD9869d/LuPbb3u8+43DP8X2+zdi1Qr20bXHa3dgNzAlvFjgeH08Xe2g62mS1sLbdQpUrsFQUYn0DfBNwrhHgV7WZol7+tnz/23H00RepYPZDDpiObuGfuPdw5505fD2uY56CGEfu+jx8aLtqJy4Gc1cOzbx/2Ozlfrb02T4+U7ZUt9FiHS+xvWJTBGpOBbFVir0xzY9m2+AqwGkgQQtQDPwaCAKSUvwXeQtuyWIW2bfE2bw3WV2p1nxPhdFFOKxsXbOT2Wbf7dkD2Pq3PSd2u4X3f/VqfdIIjtNn3yo3Dvb4nUdHOWLlcksON3Wwtt7DVbOELd3GPITKEy2alUGIysDJfnWKvKCONZZfLjWe5LoF7xm1Ek8yWt/9IadgAc/tiKVm7gZuLbp74QXQ3Qd1OOLZL+9j0xfDsO6EACi4dvnFpKJywgxrGW69tkI8rW7Q+KeYWWnqGz8/cuK6ANSYDRSlRqrhHUU5DTW/O4i+Vz+OIEqQ4iyYmzF0urV3ssZ3aDPzYjuFDigP1Wpn8yvshY6kW4mFx3h+TF1W39LoD3MLumnYcTklkaCAXFySyxmhglTGRBFXcoyhjogL9DPr7+qgJrSfPquPhu37hnTcZtGs3L2s/0sK7bg/YurRr4QZt58mSO7UATy6GwGDvjGOC2Aad7K5pd3crtFA7Ylvh7SuyKTEZWDAjliBV3KMo50wF+hn85Lnv0hAlWN2dM34HTowM8NqPtVn4UL/vxEKYdY0W3plLJkW72PHQ3G1lW7m2I+WTqlb67E6CA3Usz43n9pXZlKhthYoyLlSgn0FdwBdEOF3ctuL75/8iUoKlDKrehSPbTgzwpFkw/xuQtRIyl0N4/PgM3MecLsnn9Z2eED/cqHVZTI0O5Svz0lhjMrA8NwF98NRc61eUyUoF+mm89c4fKdX3M6c/hvnzV5zbb7Z2Q82HUPkuVL03XH1pKPLLAAetW+H2Cm1b4QcVLbT32dEJWDAjlgfXG1ljMqie4YriZSrQT2Oz+QXsUYLcgFNPIRqVrQfK34KDf4bqbeAahOBIyF0Nq36gnXsZnebVMU8kKSWVFu2G5tby4W6FMWFBrC5IpMRkYFVBIjFhU3vNX1GmEhXoo9BuhtaRa9Px8J0/P/OT6z+D3c9A6V9hcACiM2DpXVCwHjKWTLkCnjOxOpzsONLm2ZVS3zEAQKG7W+Eak4G5GbEEqG2FiuITKtBH8fjzG6mPFKzqzh79CVJC6V/gk19B4z6tmGfODTD7ei3EJ9nhDReioXPAsyNlqE+KPiiAFXkJ3LU6lxKjgdSYydtxUVGmExXoozim+5wwl4ubF983ysWdsOVh7WzMhAK47GktyEOjJn6gXjDodLG/rpP3y7QQNzf3AMN9UkpMBpZkx6k+KYoyCalAP8mW9/9Mqb6PWQPRLFmydvhCfzv8/UFtjTwyBa7+D5hz45Styhypvc/O9gqtQvPDiha6BhwE6gSLsuJ4+LJCSkwGchNVnxRFmexUoJ/kr6UvYIsS5LJg+JPVH8Ab39b6paz6Aaz4LgSH+2yMF0pKSWlTt2db4YG6TlzuQ5C/VJTEGneflKhQ/1n/V5TpQAX6CP19fRwNPUq2TfB/7v53cDnhwyfhwye05ZV//DOkzPb1MM9Lv32Qjytb2Wa2sK28hePd2ilEs9Oj+c6afNaYDBSnqUOQFWUqU4E+whMvfI9jEYJV3VnQ1wav3Qo127Wllct/NuVm5cfa+tla3sxWcws7j7SdcPzaGpOB1cZEDFHq+DVF8Rcq0EeoFfvRu1xcX3gTPL9ea4p11a+1Q5CnwPrxoNPFvmOdvF/ezNYyC5Xugx9yEsP5xrIZrDEZWJiljl9TFH+lAt1t24dvUqrvZWZ/FBcdfBSsXXDTG5B1jlWiE6yr38GHlS1sLWvmg4oWOvu1G5pLcuK4cXEma0wGshKm1k8WiqKcHxXobq998TusUYKs/myQu+DWzdqp9pPM0En2W8ssvF/ezJ5arUIzLjyYtaYk1haqG5qKMl2pQEe7GXos5ChZNnjQsRc2bIGEPF8Py8M+6GJvbTvvlVnYWt7saTlrSo50V2gmMTcjRlVoKso0pwIdeOqFB6mNgIu7Mwm7/YlJEebtfXY+MFt4v8zC9ooWemyDnpazd6zMZk1hEmmqQlNRlBFUoAM17CPUJfmqYSUkz/LJGKSUmJt7eL9M2xu+71gHUkJiZAiXz05hbWESK/LiCQtW3zJFUUY37dPh40/eojSsm6KBSNbc8oMJfW+rw8nOaq3Z1ftlFho6tWZXxWnRfHdtPmtNScxMVWdoKooyNtM+0F/d9xsGonTMGJw1IU21OvrsbC238G5pM9srW+i3O9EHBbAyP4HvrMmjxGQgSe0NVxTlPEz7QK8LqSXTLnnodi+dGQrUtvbxXlkz75Q2s7e2HZeEpKgQrpmXxrqiJJblxKtmV4qiXLBpHeiP/vvdVEfBRd2ZhEVEjNvrulySA/WdvFfazLulzZ4CH1NyJPeW5LGuKInitGjV7EpRlHE1rQO9WneAEJfk6ryvX/Br2QadfFLVyrulzbxXZqGlx0aATrAkO46vL8lkXWGSOghZURSvmraBvmfXO5SGdVE0EMGXL73pvF7D6nDyUWUrbx1s4r3SZnpsg0SEBLLKmMglRUmsLjA6QR+jAAAKD0lEQVQQHaYKfBRFmRjTNtBf2vVr+qN1ZDpmntPvsw06+cDcwlsHm3i/zEKvbZCYsCAuLU7m0uIUVuQmqF4piqL4xLQN9LrQWtLtkh/d8auzPldKyf66Tt7YV8+bnzfRNeAgNiyIK2ancFlxCsty4wkKUCGuKIpvTctAf+zX3+FIpGRlT8YZb4Z29Nl5dU8df95bR3VrH6FBOr48M5lr5qWxMi+BQBXiiqJMItMy0KvEPoJdkssyvzbqdfPxHl74tIb/2d+A1eFicVYcd67K5dLiZCJV0ytFUSapMQW6EGI98EsgAHhWSvnTk67fCjwFNLg/9Wsp5bPjOM5xs2/PB5TrOykaCOfKq+444dpnRzv4+bsVfFzVSkigjmvnp3Hr8myMyZE+Gq2iKMrYnTXQhRABwH8AXwLqgT1CiE1SytKTnvpHKeW9XhjjuHp+xy/ojdaRMeJmqKXHyhN/N/P6vnoMkSF8/8tGblycSVx4sA9HqiiKcm7GMkNfDFRJKasBhBCvAlcDJwf6lFAfUk2aXfLPd/w7AK9/Vs+/bjqMddDJXatzubckj/CQabkSpSjKFDeW5EoD6kY8rgeWjPK8rwohLgYqgI1SyrpRnuNTT/7nRqrCJSu60wgI1fPw/xzkD7uOsTg7jp9eW0xO4vhViyqKoky0sQT6aPXp8qTHbwKvSCltQog7gReBNae8kBAbgA0AmZmZ5zjUC1cu9xAkJauSv8J1v9vJ53WdfHtVDt+/xKh2rCiKMuWNJcXqgYwRj9OBxpFPkFK2SSlt7of/H1gw2gtJKZ+RUi6UUi5MTEw8n/Gety8OfES5voOifj2/rTVxxNLLb2+azw8vLVRhriiKXxhLku0B8oUQ2UKIYOAGYNPIJwghUkY8vAooG78hjo9nt/8bPQE6DFYTbb12fn/HYtbPSjn7b1QURZkizrrkIqUcFELcC2xB27b4nJTysBDiEWCvlHITcJ8Q4ipgEGgHbvXimM9LQ0g1KQ4Xb7dczUvfXsS8zFhfD0lRFGVcCSlPXg6fGAsXLpR79+6dkPf62W8e4IWwd1jRk8Jtl73Ckpz4CXlfRVGU8SaE+ExKuXC0a9Ni8bjUtYdAKckN/JIKc0VR/JbfB/rBL3Zg1rdRNBDKxm894OvhKIqieI3fB/qzHzxFV4COVJtJ7WZRFMWv+X3CNYQcIcnh4uFbvHdmqKIoymTg14H+1G++hznURe5AKjGxCb4ejqIoilf5daCbXbsJlJJlMet9PRRFURSv89tALy3fR7m+jcKBEG69Wd0MVRTF//ltoP9uy+Pum6FGXw9FURRlQvhtoDeGVGFwuPjeDU/5eiiKoigTwi8D/ee/+yHleid51hSSk9N8PRxFUZQJ4ZeBXjr4KQFSsjByra+HoiiKMmH8LtBrqs2YQ1spHAjmW7f80NfDURRFmTB+F+i/fPOf6QjUkWpXN0MVRZle/C7Qm0KqSBh08f3rn/b1UBRFUSaUXwX6L5/5Z8pCHeQPJKuboYqiTDt+FeiH7J8ggHn6Vb4eiqIoyoTzm0Cvr6umUm+hcCCYu+74F18PR1EUZcL5TaD/2xs/pC1QR6q9wNdDURRF8Qm/CfTG4AriB13807WP+3ooiqIoPuEXgf6fz/1fSvUO8gcMpGfk+Ho4iqIoPuEXgb6//0MAZoes9PFIFEVRfGfKB3p9XTVV+mYKrUF851uP+no4iqIoPjPlA/3nb/yI1kAdqbY8Xw9FURTFp6Z8oDcGVxA36OK+K3/i66EoiqL41JQO9N++8BilejsF1kSyc1TvFkVRprcpHej7erfiEoKiwBW+HoqiKIrPTdlAP368gSP64xQOBLDx24/5ejiKoig+N2UD/ak/fh9LoI5UW76vh6IoijIpTNlAbwo2E+N0cdd61bdFURQFpmigP//7pyjV2zD2J2A0Fvt6OIqiKJPCmAJdCLFeCGEWQlQJIR4a5XqIEOKP7uu7hBBZ4z3QkXZ2vYNTCIyBS7z5NoqiKFPKWQNdCBEA/AdwKVAE3CiEKDrpaXcAHVLKPODnwBPjPdAhnR2tHAltxDQQwPfvfNJbb6MoijLljGWGvhioklJWSyntwKvA1Sc952rgRfevXwPWCiHE+A1z2E9evJ/mIB2ptlxvvLyiKMqUFTiG56QBdSMe1wMnr3V4niOlHBRCdAHxQOvIJwkhNgAb3A97hRDm8xk0kHCIQ62/ut8r/2ZMVgmc9P9zGlBf8/SgvuZzM+N0F8YS6KOlpjyP5yClfAZ4ZgzveeYBCbFXSrnwQl9nKlFf8/SgvubpwVtf81iWXOqBjBGP04HG0z1HCBEIRAPt4zFARVEUZWzGEuh7gHwhRLYQIhi4Adh00nM2Abe4f/01YKuU8pQZuqIoiuI9Z11yca+J3wtsAQKA56SUh4UQjwB7pZSbgP8Cfi+EqEKbmd/gzUEzDss2U5D6mqcH9TVPD175moWaSCuKoviHKVkpqiiKopxKBbqiKIqfmHKBfrY2BP5GCJEhhNgmhCgTQhwWQnzX12OaCEKIACHEfiHEZl+PZaIIIWKEEK8JIcrd3+9lvh6TNwkhNrr/TB8SQrwihAj19Zi8QQjxnBDCIoQ4NOJzcUKId4UQle6PsePxXlMq0MfYhsDfDAIPSCkLgaXAPdPgawb4LlDm60FMsF8Cb0spTcAc/PjrF0KkAfcBC6WUs9A2XHh7M4WvvACsP+lzDwHvSynzgffdjy/YlAp0xtaGwK9IKZuklPvcv+5B+0ue5ttReZcQIh24HHjW12OZKEKIKOBitB1jSCntUspO347K6wIBvbt2JYxT61v8gpRyO6fW5Yxsl/Ii8JXxeK+pFuijtSHw63Abyd3Fch6wy7cj8bpfAA8CLl8PZALlAC3A8+6lpmeFEOG+HpS3SCkbgKeBY0AT0CWlfMe3o5pQSVLKJtAmbYBhPF50qgX6mFoM+CMhRATwOnC/lLLb1+PxFiHEFYBFSvmZr8cywQKB+cBvpJTzgD7G6cfwyci9Znw1kA2kAuFCiJt8O6qpb6oF+ljaEPgdIUQQWpj/QUr5hq/H42UrgKuEELVoS2prhBAv+3ZIE6IeqJdSDv309RpawPurdUCNlLJFSukA3gCW+3hME6lZCJEC4P5oGY8XnWqBPpY2BH7F3Yb4v4AyKeW/+Xo83ial/KGUMl1KmYX2/d0qpfT7mZuU8jhQJ4Qwuj+1Fij14ZC87RiwVAgR5v4zvhY/vgk8ipHtUm4B/joeLzqWbouTxunaEPh4WN62ArgZOCiEOOD+3I+klG/5cEyKd3wH+IN7slIN3Obj8XiNlHKXEOI1YB/aTq79+GkLACHEK8BqIEEIUQ/8GPgp8CchxB1o/7j9w7i8lyr9VxRF8Q9TbclFURRFOQ0V6IqiKH5CBbqiKIqfUIGuKIriJ1SgK4qi+AkV6IqiKH5CBbqiKIqf+F8JsWzBICr2mgAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ @@ -183,9 +148,9 @@ " print(\n", " \"Consumption function at each aggregate market resources gridpoint (in general equilibrium):\"\n", " )\n", - " AggShockExample.unpackcFunc()\n", + " AggShockExample.unpack('cFunc')\n", " m_grid = np.linspace(0, 10, 200)\n", - " AggShockExample.unpackcFunc()\n", + " AggShockExample.unpack('cFunc')\n", " for M in AggShockExample.Mgrid.tolist():\n", " mMin = AggShockExample.solution[0].mNrmMin(M)\n", " c_at_this_M = AggShockExample.cFunc[0](m_grid + mMin, M * np.ones_like(m_grid))\n", @@ -203,7 +168,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -224,7 +189,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -244,7 +209,7 @@ " resources-to-labor ratio gridpoint (for each macro state):\"\n", " )\n", " m_grid = np.linspace(0, 10, 200)\n", - " AggShockMrkvExample.unpackcFunc()\n", + " AggShockMrkvExample.unpack('cFunc')\n", " for i in range(2):\n", " for M in AggShockMrkvExample.Mgrid.tolist():\n", " mMin = AggShockMrkvExample.solution[0].mNrmMin[i](M)\n", @@ -258,49 +223,9 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Now solving a two-state Markov economy. This should take a few minutes...\n", - "intercept=[-0.4763919075683026, -0.5605544369541379], slope=[1.1315727085579905, 1.1784066840697955], r-sq=[0.9980357482765062, 0.992696271776762]\n", - "intercept=[-0.39095559816014036, -0.4457821669469404], slope=[1.0767802376996618, 1.0975528936715868], r-sq=[0.9997778937148697, 0.9993871253581352]\n", - "intercept=[-0.33619865417943023, -0.38575550678402043], slope=[1.065065910802989, 1.0805465997572978], r-sq=[0.999891358395434, 0.9998295590476789]\n", - "intercept=[-0.3432267617513098, -0.394964908815329], slope=[1.0683284142653506, 1.0842599085384828], r-sq=[0.9998880408795819, 0.9998336351551399]\n", - "intercept=[-0.34405827074754763, -0.39550172544497686], slope=[1.0686668533613826, 1.0844827372272523], r-sq=[0.9998867796647407, 0.9998295883131055]\n", - "intercept=[-0.34414258628161926, -0.3955254835582317], slope=[1.0686979703844464, 1.0844934760168592], r-sq=[0.9998867084211823, 0.9998293196888337]\n", - "Solving the \"macroeconomic\" aggregate shocks model took 3367.412154038 seconds.\n", - "Consumption function at each aggregate market resources-to-labor ratio gridpoint (for each macro state):\n" - ] - }, - { - "data": { - "image/png": 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\n", 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "if solve_markov_market:\n", " # Solve the \"macroeconomic\" model by searching for a \"fixed point dynamic rule\"\n", @@ -319,7 +244,7 @@ " resources-to-labor ratio gridpoint (for each macro state):\"\n", " )\n", " m_grid = np.linspace(0, 10, 200)\n", - " AggShockMrkvExample.unpackcFunc()\n", + " AggShockMrkvExample.unpack('cFunc')\n", " for i in range(2):\n", " for M in AggShockMrkvExample.Mgrid.tolist():\n", " mMin = AggShockMrkvExample.solution[0].mNrmMin[i](M)\n", @@ -333,24 +258,9 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Now solving a Krusell-Smith-style economy. This should take about a minute...\n", - "intercept=[-0.6802984623106902, -0.6431367270162477], slope=[1.209795459842345, 1.1961401168569106], r-sq=[0.9979223130501177, 0.9976587726885611]\n", - "intercept=[-0.32275443897362316, -0.3194451509948524], slope=[1.0473220816804483, 1.0494728168169827], r-sq=[0.9999337811632424, 0.9997455133811823]\n", - "intercept=[-0.3564300162992267, -0.3507492671084464], slope=[1.069897737358589, 1.0693490744529066], r-sq=[0.9999983030262461, 0.9999951958721364]\n", - "intercept=[-0.378627838628238, -0.37081574442530124], slope=[1.078591817537555, 1.0772217264163788], r-sq=[0.9999978207977982, 0.9999918615468698]\n", - "intercept=[-0.3792507255074706, -0.3713903991862787], slope=[1.0788253498029245, 1.0774542976829347], r-sq=[0.9999977807761196, 0.9999913958790368]\n", - "intercept=[-0.37925605613899416, -0.3714036447878481], slope=[1.0788258749145858, 1.0774600093517726], r-sq=[0.9999977804475141, 0.999991383709118]\n", - "Solving the Krusell-Smith model took 92.13982032100012 seconds.\n" - ] - } - ], + "outputs": [], "source": [ "if solve_krusell_smith:\n", " # Make a Krusell-Smith agent type\n", @@ -396,7 +306,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -460,18 +370,12 @@ " + \" seconds.\"\n", " )" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", + "formats": "ipynb,py", "main_language": "python", "notebook_metadata_filter": "-all" }, @@ -490,7 +394,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.7.6" }, "latex_envs": { "LaTeX_envs_menu_present": true, diff --git a/examples/ConsumptionSaving/example_ConsAggShockModel.py b/examples/ConsumptionSaving/example_ConsAggShockModel.py index c31b31e25..2812a562b 100644 --- a/examples/ConsumptionSaving/example_ConsAggShockModel.py +++ b/examples/ConsumptionSaving/example_ConsAggShockModel.py @@ -1,41 +1,34 @@ -# %% -from time import time +from time import process_time import numpy as np import matplotlib.pyplot as plt from HARK.utilities import plotFuncs +from HARK.distribution import DiscreteDistribution from HARK.ConsumptionSaving.ConsAggShockModel import ( AggShockConsumerType, CobbDouglasEconomy, AggShockMarkovConsumerType, CobbDouglasMarkovEconomy, - KrusellSmithType, - KrusellSmithEconomy ) -from HARK.distribution import DiscreteDistribution -from scipy.stats import linregress from copy import deepcopy def mystr(number): return "{:.4f}".format(number) -# %% # Solve an AggShockConsumerType's microeconomic problem solve_agg_shocks_micro = False # Solve for the equilibrium aggregate saving rule in a CobbDouglasEconomy -solve_agg_shocks_market = False +solve_agg_shocks_market = True # Solve an AggShockMarkovConsumerType's microeconomic problem solve_markov_micro = False # Solve for the equilibrium aggregate saving rule in a CobbDouglasMarkovEconomy -solve_markov_market = False +solve_markov_market = True # Solve a simple Krusell-Smith-style two state, two shock model solve_krusell_smith = True # Solve a CobbDouglasEconomy with many states, potentially utilizing the "state jumper" solve_poly_state = False -# %% [markdown] -# ### Example impelementation of AggShockConsumerType +# ### Example implementation of AggShockConsumerType -# %% if solve_agg_shocks_micro or solve_agg_shocks_market: # Make an aggregate shocks consumer type AggShockExample = AggShockConsumerType() @@ -48,12 +41,11 @@ def mystr(number): # Have the consumers inherit relevant objects from the economy AggShockExample.getEconomyData(EconomyExample) -# %% if solve_agg_shocks_micro: # Solve the microeconomic model for the aggregate shocks example type (and display results) - t_start = time() + t_start = process_time() AggShockExample.solve() - t_end = time() + t_end = process_time() print( "Solving an aggregate shocks consumer took " + mystr(t_end - t_start) @@ -63,7 +55,7 @@ def mystr(number): "Consumption function at each aggregate market resources-to-labor ratio gridpoint:" ) m_grid = np.linspace(0, 10, 200) - AggShockExample.unpackcFunc() + AggShockExample.unpack('cFunc') for M in AggShockExample.Mgrid.tolist(): mMin = AggShockExample.solution[0].mNrmMin(M) c_at_this_M = AggShockExample.cFunc[0](m_grid + mMin, M * np.ones_like(m_grid)) @@ -71,13 +63,14 @@ def mystr(number): plt.ylim(0.0, None) plt.show() -# %% if solve_agg_shocks_market: # Solve the "macroeconomic" model by searching for a "fixed point dynamic rule" - t_start = time() - print("Now solving for the equilibrium of a Cobb-Douglas economy. This might take a few minutes...") + t_start = process_time() + print( + "Now solving for the equilibrium of a Cobb-Douglas economy. This might take a few minutes..." + ) EconomyExample.solve() - t_end = time() + t_end = process_time() print( 'Solving the "macroeconomic" aggregate shocks model took ' + str(t_end - t_start) @@ -89,9 +82,9 @@ def mystr(number): print( "Consumption function at each aggregate market resources gridpoint (in general equilibrium):" ) - AggShockExample.unpackcFunc() + AggShockExample.unpack('cFunc') m_grid = np.linspace(0, 10, 200) - AggShockExample.unpackcFunc() + AggShockExample.unpack('cFunc') for M in AggShockExample.Mgrid.tolist(): mMin = AggShockExample.solution[0].mNrmMin(M) c_at_this_M = AggShockExample.cFunc[0](m_grid + mMin, M * np.ones_like(m_grid)) @@ -99,11 +92,9 @@ def mystr(number): plt.ylim(0.0, None) plt.show() -# %% [markdown] # ### Example Implementations of AggShockMarkovConsumerType -# %% -if solve_markov_micro or solve_markov_market: +if solve_markov_micro or solve_markov_market or solve_krusell_smith: # Make a Markov aggregate shocks consumer type AggShockMrkvExample = AggShockMarkovConsumerType() AggShockMrkvExample.IncomeDstn[0] = 2 * [AggShockMrkvExample.IncomeDstn[0]] @@ -117,21 +108,23 @@ def mystr(number): MrkvEconomyExample ) # Have the consumers inherit relevant objects from the economy -# %% if solve_markov_micro: # Solve the microeconomic model for the Markov aggregate shocks example type (and display results) - t_start = time() + t_start = process_time() AggShockMrkvExample.solve() - t_end = time() + t_end = process_time() print( "Solving an aggregate shocks Markov consumer took " + mystr(t_end - t_start) + " seconds." ) - print("Consumption function at each aggregate market resources-to-labor ratio gridpoint (for each macro state):") + print( + "Consumption function at each aggregate market \ + resources-to-labor ratio gridpoint (for each macro state):" + ) m_grid = np.linspace(0, 10, 200) - AggShockMrkvExample.unpackcFunc() + AggShockMrkvExample.unpack('cFunc') for i in range(2): for M in AggShockMrkvExample.Mgrid.tolist(): mMin = AggShockMrkvExample.solution[0].mNrmMin[i](M) @@ -142,23 +135,24 @@ def mystr(number): plt.ylim(0.0, None) plt.show() -# %% if solve_markov_market: # Solve the "macroeconomic" model by searching for a "fixed point dynamic rule" - t_start = time() - MrkvEconomyExample.verbose = True + t_start = process_time() print("Now solving a two-state Markov economy. This should take a few minutes...") MrkvEconomyExample.solve() - t_end = time() + t_end = process_time() print( 'Solving the "macroeconomic" aggregate shocks model took ' + str(t_end - t_start) + " seconds." ) - print("Consumption function at each aggregate market resources-to-labor ratio gridpoint (for each macro state):") + print( + "Consumption function at each aggregate market \ + resources-to-labor ratio gridpoint (for each macro state):" + ) m_grid = np.linspace(0, 10, 200) - AggShockMrkvExample.unpackcFunc() + AggShockMrkvExample.unpack('cFunc') for i in range(2): for M in AggShockMrkvExample.Mgrid.tolist(): mMin = AggShockMrkvExample.solution[0].mNrmMin[i](M) @@ -169,55 +163,47 @@ def mystr(number): plt.ylim(0.0, None) plt.show() -# %% if solve_krusell_smith: - # Make default KS agent type and economy - KSeconomy = KrusellSmithEconomy() - KStype = KrusellSmithType() - KStype.cycles = 0 - KStype.getEconomyData(KSeconomy) - KSeconomy.agents = [KStype] - KSeconomy.makeMrkvHist() - - # Solve the Krusell-Smith economy - t0 = time() - print("Now solving for the equilibrium of the Krusell-Smith (1998) model. This might take a few minutes...") + # Make a Krusell-Smith agent type + # NOTE: These agents aren't exactly like KS, as they don't have serially correlated unemployment + KSexampleType = deepcopy(AggShockMrkvExample) + KSexampleType.IncomeDstn[0] = [ + DiscreteDistribution( + np.array([0.96, 0.04]), + [ np.array([1.0, 1.0]), np.array([1.0 / 0.96, 0.0])] + ), + DiscreteDistribution( + np.array([0.90, 0.10]), + [np.array([1.0, 1.0]), np.array([1.0 / 0.90, 0.0])], + ) + ] + + # Make a KS economy + KSeconomy = deepcopy(MrkvEconomyExample) + KSeconomy.agents = [KSexampleType] + KSeconomy.AggShkDstn = [ + DiscreteDistribution( + np.array([1.0]), + [np.array([1.0]), np.array([1.05])], + ), + DiscreteDistribution( + np.array([1.0]), + [np.array([1.0]), np.array([0.95])], + ) + ] + KSeconomy.PermGroFacAgg = [1.0, 1.0] + KSexampleType.getEconomyData(KSeconomy) + KSeconomy.makeAggShkHist() + + # Solve the K-S model + t_start = process_time() + print( + "Now solving a Krusell-Smith-style economy. This should take about a minute..." + ) KSeconomy.solve() - t1 = time() - print('Solving the Krusell-Smith model took ' + str(t1-t0) + ' seconds.') - - state_names = ['bad economy, unemployed', 'bad economy, employed', - 'good economy, unemployed', 'good economy, employed'] - - # Plot the consumption function for each discrete state - for j in range(4): - plt.xlabel(r'Idiosyncratic market resources $m$') - plt.ylabel(r'Consumption $c$') - plt.title('Consumption function by aggregate market resources: ' + state_names[j]) - plotFuncs(KStype.solution[0].cFunc[j].xInterpolators, 0., 50.) - - # Extract history of aggregate capital and run a serial autoregression - mystr = lambda x : '{:.4f}'.format(x) - mystr2 = lambda x : '{:.7f}'.format(x) - K_hist = np.array(KSeconomy.history['Aprev'])[KSeconomy.T_discard:] - Mrkv_hist = KSeconomy.MrkvNow_hist[KSeconomy.T_discard:] - bad = Mrkv_hist[:-1] == 0 - good = Mrkv_hist[:-1] == 1 - logK_t = np.log(K_hist[:-1]) - logK_tp1 = np.log(K_hist[1:]) - results_bad = linregress(logK_t[bad], logK_tp1[bad]) - results_good = linregress(logK_t[good], logK_tp1[good]) - print('') - print('Equilibrium dynamics of aggregate capital:') - print("Bad state: log k' = " + mystr(results_bad[1]) + ' + ' + mystr(results_bad[0]) + ' log k (r-sq = ' + mystr2(results_bad[2]**2) + ')') - print("Good state: log k' = " + mystr(results_good[1]) + ' + ' + mystr(results_good[0]) + ' log k (r-sq = ' + mystr2(results_good[2]**2) + ')') - print('') - print("Krusell & Smith's published results (p877):") - print("Bad state: log k' = 0.085 + 0.965 log k (r-sq = 0.999998)") - print("Good state: log k' = 0.095 + 0.962 log k (r-sq = 0.999998)") - - -# %% + t_end = process_time() + print("Solving the Krusell-Smith model took " + str(t_end - t_start) + " seconds.") + if solve_poly_state: StateCount = 15 # Number of Markov states GrowthAvg = 1.01 # Average permanent income growth factor @@ -262,14 +248,14 @@ def mystr(number): ) # Have the consumers inherit relevant objects from the economy # Solve the many state model - t_start = time() + t_start = process_time() print( "Now solving an economy with " + str(StateCount) + " Markov states. This might take a while..." ) PolyStateEconomy.solve() - t_end = time() + t_end = process_time() print( "Solving a model with " + str(StateCount) diff --git a/examples/ConsumptionSaving/example_ConsIndShock.ipynb b/examples/ConsumptionSaving/example_ConsIndShock.ipynb index 6542f38c6..a9bb70762 100644 --- a/examples/ConsumptionSaving/example_ConsIndShock.ipynb +++ b/examples/ConsumptionSaving/example_ConsIndShock.ipynb @@ -58,7 +58,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving a perfect foresight consumer took 0.2463 seconds.\n" + "Solving a perfect foresight consumer took 0.3333 seconds.\n" ] } ], @@ -71,7 +71,7 @@ " + mystr(end_time - start_time)\n", " + \" seconds.\"\n", ")\n", - "PFexample.unpackcFunc()" + "PFexample.unpack('cFunc')" ] }, { @@ -88,7 +88,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -135,14 +135,27 @@ "execution_count": 9, "metadata": {}, "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "GIFPF = 0.984539 \n", + "GIFInd = 0.993777 \n", + "GIFAgg = 0.964848 \n", + "Thorn = AIF = 0.994384 \n", + "PermGroFacAdj = 1.000611 \n", + "uInvEpShkuInv = 0.990704 \n", + "FVAF = 0.932054 \n", + "WRIF = 0.213705 \n", + "DiscFacGIFIndMax = 0.972061 \n", + "DiscFacGIFAggMax = 1.010600 \n" + ] + }, { "name": "stdout", "output_type": "stream", "text": [ - "\n", - "\n", - "\n", - "Solving a consumer with idiosyncratic shocks took 0.1549 seconds.\n" + "Solving a consumer with idiosyncratic shocks took 0.2174 seconds.\n" ] } ], @@ -155,7 +168,7 @@ " + mystr(end_time - start_time)\n", " + \" seconds.\"\n", ")\n", - "IndShockExample.unpackcFunc()" + "IndShockExample.unpack('cFunc')" ] }, { @@ -172,7 +185,7 @@ }, { "data": { - "image/png": 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JAkqKRgddkohEIYV7hOjucb77qx08/no5lxZmsfTuy8jNUAdHETk/CvcI0Hisk68sX8/rOxpYPL+Ab982m2FJiUGXJSJRTOEesH0HW7n3mffYd7CV//XpOdy9YGLQJYlIDFC4B2hD5RHue2Yt3e785/1XaJmjiISNwj0gr22p5U+WrycnfRjPfGk+k3PSgi5JRGKIwj0AT7+9m8de3spFE7J48p4SsrV+XUTCTOE+hHp6nP+zchvff2s3n5w1ln++ax4jUvTFqYiEn8J9iHR19/D1lzbx4roq7r2qiL++dRaJujBJRAaJwn0IdHT18JUfr2flplr+9IZp/PEnpui+piIyqBTug+xYRzcPPbeOVTsb+OYtM7n/2klBlyQicSCkvrFmdpOZ7TCzMjP7ej/7C83sdTNbb2Ybzezm8JcafZraOrnnqfdYvauB7/z+XAW7iAyZAcPdzBKBx4FFwCxgsZnNOm3YN4EX3H0ecBfw7+EuNNo0t3XyxSff4/19h/mXu+bxucsLgy5JROJIKGfu84Eyd69w9w5gOXD7aWMcyOh7nglUh6/E6NPS3sW9T69l8/5GHv+DS/m9i/OCLklE4kwo4Z4PVJ6yXdX32qm+DdxtZlXASuCP+juQmS0xs1IzK21oaDiPciNfa0cXX356LRsqj/Cvi+fxqdnjgi5JROJQKOHe37IOP217MfCMu08AbgZ+aGYfOba7L3P3EncvycnJOfdqI9yxjm7ue6aU0r2H+KfPXcKiueODLklE4lQo4V4FFJyyPYGPTrvcB7wA4O7vAMOB7HAUGC3aOrtZ8sNS3t19kO/eeYmmYkQkUKGE+1pgqpkVm1kKvV+YrjhtzD7gEwBmNpPecI/NeZd+dHX38MiP1vNW2QH+/o6L+fS802etRESG1oDh7u5dwCPAa8A2elfFbDGzx8zstr5hXwUeMLMPgOeBe9399KmbmNTT4/zFixv59bY6Hrt9DndcNiHokkREQruIyd1X0vtF6amvPXrK863A1eEtLTr875XbeGn9fr72yWl8Qb3YRSRChHQRk/RvR20zT761m7sXFPKHH5sSdDkiIico3C/AE6vKGZGcyFdvnK5eMSISURTu52n/kWOs+KCaxfMLGTUyJehyREQ+ROF+nr7/ZgUA919bHHAlIiIfpXA/D4ePdrD8vUpuuySPvKwRQZcjIvIRCvfz8Ow7eznW2c1DCycHXYqISL8U7ueotaOLZ363m0/MyGXa2PSgyxER6ZfC/Ry9sLaSw62dPHS9ztpFJHIp3M9BZ3cP33tzN5dNHMXlRaODLkdE5IwU7ufglY017D9yjIc11y4iEU7hHiJ3Z+mqcqbmpvHxGblBlyMiclYK9xC9sbOB7bXNPLhwMgkJuhpVRCKbwj1ES98oZ3zmcG5Tn3YRiQIK9xC8v+8wa3Yf4r5riklJ0kcmIpFPSRWCpW+UkzkimcXzC4MuRUQkJAr3AZTVt/CrbXXcc+VERg4Lqf29iEjgFO4DWLa6nGFJCdxzVVHQpYiIhEzhfha1jW38bP1+7iwpYEzasKDLEREJmcL9LJ56ezc9Dg9cOynoUkREzklI4W5mN5nZDjMrM7Ovn2HMnWa21cy2mNmPwlvm0Gts7eQ/393LLXPHUzA6NehyRETOyYDfEJpZIvA4cCNQBaw1sxV9N8U+PmYq8A3ganc/bGZRfwnnc2v2crSjmwcX6qxdRKJPKGfu84Eyd69w9w5gOXD7aWMeAB5398MA7l4f3jKHVltnN0+/vZuF03KYnZcZdDkiIucslHDPBypP2a7qe+1U04BpZva2mb1rZjeFq8AgvLiuigMtHboZh4hErVAWbvfXSMX7Oc5U4HpgAvCmmc1x9yMfOpDZEmAJQGFhZF4Q1N3jfO/NCi4uyGLBJLX1FZHoFMqZexVQcMr2BKC6nzH/5e6d7r4b2EFv2H+Iuy9z9xJ3L8nJyTnfmgfVq5tr2HuwlYcXTsJMDcJEJDqFEu5rgalmVmxmKcBdwIrTxvwc+BiAmWXTO01TEc5Ch8Lxtr6Tskdy46xxQZcjInLeBgx3d+8CHgFeA7YBL7j7FjN7zMxu6xv2GnDQzLYCrwN/7u4HB6vowfJW2QE2729iyXWTSFRbXxGJYiE1S3H3lcDK01579JTnDvxZ3yNqLV1VTm76MD5z6enfF4uIRBddodpnU1Ujb5cd5L5rihmWlBh0OSIiF0Th3mfpqnLShyfx+SsicxWPiMi5ULgDew4c5dXNNdy9YCLpw5ODLkdE5IIp3IFlb1aQlJjAl64uCroUEZGwiPtwr29u48V1Vfz+pRPITR8edDkiImER9+H+9Nt76Oru4cHr1CBMRGJHXId7c1snz727l0VzxlOUPTLockREwiauw/1Ha/bR3NalBmEiEnPiNtzbu7p58q3dXD1lDHMnqK2viMSWuA33n6/fT31zu87aRSQmxWW4d/c4T6yqYHZeBtdMyQ66HBGRsIvLcP/V1loqDhzloYWT1dZXRGJS3IW7u/MfqyqYOCaVRXPU1ldEYlPchfu7FYf4oPIID1w7iaTEuPvti0iciLt0W7qqnOy0FO64bELQpYiIDJq4Cvet1U2s2tnAl64uZniy2vqKSOyKq3B/YnU5I1MSufuKiUGXIiIyqOIm3CsPtfKLD6r5/BWFZKaqra+IxLa4CffvvVlBYoJx3zVqECYisS8uwv1gSzsvlFbymXn5jMtUW18RiX0hhbuZ3WRmO8yszMy+fpZxd5iZm1lJ+Eq8cD/43R7au3pYcp1aDYhIfBgw3M0sEXgcWATMAhab2ax+xqUDfwysCXeRF+Joexc/eGcvN84cy5TctKDLEREZEqGcuc8Hyty9wt07gOXA7f2M+1vg74C2MNZ3wZavraTxWCcPXa+zdhGJH6GEez5Qecp2Vd9rJ5jZPKDA3V8+24HMbImZlZpZaUNDwzkXe646unr4/psVzC8ezaWFowb9/UREIkUo4d5fZy0/sdMsAfhH4KsDHcjdl7l7ibuX5OTkhF7leVrxQTU1jW08rLN2EYkzoYR7FVBwyvYEoPqU7XRgDvCGme0BFgArgv5StafHeWJVOTPGpXP9tMH/H4mISCQJJdzXAlPNrNjMUoC7gBXHd7p7o7tnu3uRuxcB7wK3uXvpoFQcot9ur2dXfYva+opIXBow3N29C3gEeA3YBrzg7lvM7DEzu22wCzxfS1eVk581glsvGh90KSIiQy4plEHuvhJYedprj55h7PUXXtaFWbvnEKV7D/Pt35ultr4iEpdiMvmWvlHOqNRk7ry8YODBIiIxKObCfUdtM7/ZXs+9VxWTmhLSP0xERGJOzIX7E6vLGZGcyBevVFtfEYlfMRXu+48cY8WGau6aX8CokSlBlyMiEpiYCvcn39wNwP3Xqq2viMS3mAn3w0c7WL52H7ddnEd+1oigyxERCVTMhPuz7+yltaObBxeq1YCISEyE+7GObn7wzh4+PiOX6ePSgy5HRCRwMRHuL5RWcuhohxqEiYj0ifpw7+ru4XtvVnDZxFFcXjQ66HJERCJC1If7K5tqqDp8jIc01y4ickJUh7u7s3RVBVNz0/jEjNygyxERiRhRHe6rdjawraaJJddNIiFBbX1FRI6L6nD/jzfKGZ85nNsvyR94sIhIHInacF+/7zBrdh/ivmuKSUmK2t+GiMigiNpUXLqqnMwRySyeXxh0KSIiEScqw728oYVfbq3ji1dOZOQwtfUVETldVIb7slUVpCQmcM9VRUGXIiISkaIu3Gsb23hpfRV3lhSQnTYs6HJERCJS1IX7U2/vprvHeUBtfUVEziikcDezm8xsh5mVmdnX+9n/Z2a21cw2mtlvzGxQboPUeKyTH63Zx60X5VE4JnUw3kJEJCYMGO5mlgg8DiwCZgGLzWzWacPWAyXufhHwIvB34S4U4Ll399LS3sWDC3XWLiJyNqGcuc8Hyty9wt07gOXA7acOcPfX3b21b/NdYEJ4y4S2zm6efnsP103LYXZeZrgPLyISU0IJ93yg8pTtqr7XzuQ+4NX+dpjZEjMrNbPShoaG0KsEfvp+FQda2nlIZ+0iIgMKJdz7a9ri/Q40uxsoAf6+v/3uvszdS9y9JCcnJ+Qiu3ucZasruHhCJldOGhPyrxMRiVehhHsVUHDK9gSg+vRBZnYD8FfAbe7eHp7yer26uYa9B1t5aOFkzNQgTERkIKGE+1pgqpkVm1kKcBew4tQBZjYPeILeYK8PZ4G9bX3LmZQ9kk/OHhfOQ4uIxKwBw93du4BHgNeAbcAL7r7FzB4zs9v6hv09kAb8xMw2mNmKMxzunL1ddpDN+3vb+iaqra+ISEhCaszi7iuBlae99ugpz28Ic10nLF1VTm76MD5zqdr6ioiEKqKvUN1U1chbZQf48jXFDEtKDLocEZGoEdHhvnR1OenDkvj8FWrrKyJyLiI23PccOMqrm2r4gwUTyRieHHQ5IiJRJWLDfdmbFSQlJvDlq4uCLkVEJOpEZLjXN7fx4roqfv/SCeRmDA+6HBGRqBOR4f7M23vo7O5hyXVqNSAicj4iLtyb2zr54bt7WTRnHMXZI4MuR0QkKkVcuD//3j6a27p4aOHkoEsREYlaERXu7V3dPPnWbq6aPIaLJmQFXY6ISNSKqHD/+fr91DW166xdROQCRUy49/Q4T6yuYHZeBtdOzQ66HBGRqBYx4f7LrXVUNBxVW18RkTCIiHA/3ta3cHQqi+aora+IyIWKiHBfs/sQGyqP8MB1k0hKjIiSRESiWkQk6dJV5WSnpfDZy8J+X20RkbgUeLhvrW7ijR0N3HtVEcOT1dZXRCQcAg/3J1aXMzIlkS8sKAq6FBGRmBFouFceauXljTV8/opCMlPV1ldEJFwCDffvv1lBgsF916hBmIhIOAUW7l09zo9LK/n0JfmMy1RbXxGRcAop3M3sJjPbYWZlZvb1fvYPM7Mf9+1fY2ZFAx3zYEs7bZ09PLhQZ+0iIuE2YLibWSLwOLAImAUsNrNZpw27Dzjs7lOAfwS+M9BxDx7t4MZZY5mSm37uVYuIyFmFcuY+Hyhz9wp37wCWA7efNuZ24Ad9z18EPmED9BDo7nEevl4NwkREBkMo4Z4PVJ6yXdX3Wr9j3L0LaATGnH4gM1tiZqVmVjoioYdLC0edX9UiInJWoYR7f2fgfh5jcPdl7l7i7iVTxivYRUQGSyjhXgUUnLI9Aag+0xgzSwIygUPhKFBERM5dKOG+FphqZsVmlgLcBaw4bcwK4J6+53cAv3X3j5y5i4jI0EgaaIC7d5nZI8BrQCLwlLtvMbPHgFJ3XwE8CfzQzMroPWO/azCLFhGRsxsw3AHcfSWw8rTXHj3leRvw2fCWJiIi5yvwxmEiIhJ+CncRkRikcBcRiUEKdxGRGGRBrVg0s2ZgRyBvHnmygQNBFxEh9FmcpM/iJH0WJ0139wGbcoW0WmaQ7HD3kgDfP2KYWak+i176LE7SZ3GSPouTzKw0lHGalhERiUEKdxGRGBRkuC8L8L0jjT6Lk/RZnKTP4iR9FieF9FkE9oWqiIgMHk3LiIjEIIW7iEgMCiTcB7rhdrwws6fMrN7MNgddS9DMrMDMXjezbWa2xcz+JOiagmJmw83sPTP7oO+z+JugawqSmSWa2XozeznoWoJmZnvMbJOZbRhoSeSQz7n33XB7J3AjvTf5WAssdvetQ1pIBDCz64AW4Fl3nxN0PUEys/HAeHd/38zSgXXAp+P0z4UBI929xcySgbeAP3H3dwMuLRBm9mdACZDh7rcGXU+QzGwPUOLuA17QFcSZeyg33I4L7r4a3bEKAHevcff3+543A9v46L1644L3aunbTO57xOXKBzObANwCfD/oWqJNEOEeyg23JY6ZWREwD1gTbCXB6ZuK2ADUA79y93j9LP4J+AugJ+hCIoQDvzSzdWa25GwDgwj3kG6mLfHJzNKAnwJfcfemoOsJirt3u/sl9N6zeL6Zxd20nZndCtS7+7qga4kgV7v7pcAi4A/7pnb7FUS4h3LDbYlDffPLPwX+091fCrqeSODuR4A3gJsCLiUIVwO39c0zLwc+bmbPBVtSsNy9uu9nPfAzeqe5+xVEuIdyw22JM31fIj4JbHP37wZdT5DMLMfMslktbtYAAACzSURBVPqejwBuALYHW9XQc/dvuPsEdy+iNyd+6+53B1xWYMxsZN9iA8xsJPBJ4Iwr7YY83N29Czh+w+1twAvuvmWo64gEZvY88A4w3cyqzOy+oGsK0NXAF+g9O9vQ97g56KICMh543cw20nsy9Ct3j/tlgMJY4C0z+wB4D3jF3f/7TIPVfkBEJAbpClURkRikcBcRiUEKdxGRGKRwFxGJQQp3EZEYpHAXEYlBCncRkRj0/wEU7+7FTupy7QAAAABJRU5ErkJggg==\n", 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\n", 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -299,7 +312,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving a lifecycle consumer took 0.0090 seconds.\n" + "Solving a lifecycle consumer took 0.0157 seconds.\n" ] } ], @@ -308,7 +321,7 @@ "LifecycleExample.solve()\n", "end_time = time()\n", "print(\"Solving a lifecycle consumer took \" + mystr(end_time - start_time) + \" seconds.\")\n", - "LifecycleExample.unpackcFunc()" + "LifecycleExample.unpack('cFunc')" ] }, { @@ -325,7 +338,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -411,7 +424,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving a cyclical consumer took 0.1942 seconds.\n" + "Solving a cyclical consumer took 0.1941 seconds.\n" ] } ], @@ -420,7 +433,7 @@ "CyclicalExample.solve()\n", "end_time = time()\n", "print(\"Solving a cyclical consumer took \" + mystr(end_time - start_time) + \" seconds.\")\n", - "CyclicalExample.unpackcFunc()" + "CyclicalExample.unpack('cFunc')" ] }, { @@ -437,7 +450,7 @@ }, { "data": { - "image/png": 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+ "image/png": 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WwxnTMyhKj6YoPYbseOvofCPV5TS6WlrKoLnM69kT7Lve18UcawR40gQYf7KxHJ9rPMfljNkRL4cSX5oVTwIPAU/vZZ9PtNYLvFcopUKBh4GTgEpghVLqVa31hgOsVYhR57bZ6Fi2jNaXX6b78y+Mroni2ez8zsV8kjKZr+t62Px+By63MadzZpyFmdlxXDInj+lZsUzOiCHaPMIjZuzd0LJjINCbSweW2yoGd8GERhghHp8PuUcPtNL7gt2y/8NFRXDZZ+hrrT9WSuUdwLlnA9u01qUASqnngbMACX0R0LTW2NaupfXll2l/403cHR3YktJY+a1zeDZuKjtCo6EaopubmJkdx+WTCpmZHceM7DiSoyNGpihbOzRvh6btRqh7t9o7d7mtrjnWCPWMmTDlbEjIN14n5BtfPgqib4+K4TdcHYhHK6XWANXAtVrr9UAmUOG1TyVw5J5OoJRaCCwEyMnJGaayhPCds7mZtv/+l4YXXkSXleIIC+eL7Bm8Pv1w1iYVkJsUxdGFifwyN4GZOXHkJ0YObxeNo8cI8aZtnoDfBk2lxnNX/eB9ozOMEB93IiTkDYR6fD5YE4avJnHIGY7Q/xrI1Vp3KqVOA/4DjN/fk2itlwBLAIqLi32fBkaIg9RUsorSJX/HsvwDQl1ONsXn8M7Mc9k06UhmTc7iR4VJHF1ozMB00FxOoy+9aZvRau8P+O3GaBjvb5ZGpkDiOJhwsvGcOA4SCo1wD5Cbd4ngc9Chr7Vu91p+Uyn1iFIqCagCsr12zfKsE8Lvdta08M0zL2J58xUyassICYtgWcFRNB9/BpPmzOD6wiTyEq0Hfs+Z3g5o3Op5bIbGLcZy03Zwe03vFxELiYWQc7Qn2AuNR0LhIXnfF+F/Bx36Sqk0oE5rrZVSs4EQoAloBcYrpfIxwv584MKD/XlCHAitNasrWvnok28Iee0VZm/4hEJ7N7Vxaaz+7mXkX3guVxZl7d+XnbSGzjpo8Ar1xs3Gc7tX+0aFQkKBMSJmwnxIGg+J441wtybKuHUxqnwZsvkccByQpJSqBG4DTABa60eBc4HLlVJOoAc4X2utAadS6krgbYwhm0s9ff1CjAq3W7OqooU31tRQvuxD5qz9gBNrN6AUtMw8mvBLfshxJx+779Z8X7jXb4SGTVC/Aeo3GWHf2zawX3iUEex53zKCPXmi8To+H8KG/773QhwIpfdjFvXRUlxcrEtKSvxdhghCLrdmZXkLb66t4Z1vKpm84XO+t/VDcjrqcMbEEfe9c0m76AJMGRlDn6CrcYhw3zj4HjGWBEiZDCmTIGniQMBHp0urXfiNUmql1rp4X/vJN3JF0NNa801lG6+squKNtTW0t7RzesUKHij7hJj2Jkzjx5N869VEn3oqIX0zTTl7jZZ63TqoWw+1a42Q95631BwLyUUw+Swj5JMnGfOWRiZLuIugJaEvglZlSzf/WVXFy6uqKG3oItHVzS9bVlG8+l1COzuwFheTuPAuImdNRNWtgxV/9QT8OqPvve9LS2FmI8wnnDI43KXlLg5BEvoiqLTbHPxvbQ0vf13Fl2XGvLEnJbj5XddyUj55G22zEXVEEYnfSsdqqYYvL4X3vca4x2R6bgZ2CqRNhdRpxgVVubOjGCMk9EXA01pTUt7CP7/cyZtra+h1uilMtHDvxDaO+OQ/2F5dB2hi8h0kTmghIrYa6sKNFvv4kyB1qifgp8oXl8SYJ6EvAlZbt4OXV1Xy3JfldDeUcXR4GUvTa5nStZWej3fSus1Eb4gmYUIvCd/KxTTxcEifYdx+ILlIRswIMQQJfRFQtNas2bqDrz59F9uOL5mit/FCWClxEW04bSE0LYujdqsZTQTxJx9O0sKFhE06CkIDbBpAIQKUhL7wL7cL6jfg2PEFVd98SFjt18x0VzMTcIco7HHjMKWdSsNqO81vr8bdayf2O98h6YorCM/K9Hf1QgQdCX0xumztUFUCFV/Bzi/QlStQ9k5MgFXHsS18Eo3jzmXi4fOISJlK10uv0vjA47jb2oieP5/kX/2SiIICf78LIYKWhL4YWT0tUP457PgUyj81xsNrNxpFnaWQD3qP5kvHeELyjuKceXOYMy4JgPY336Ty5+fjrKkh8tvfIvmqq7BMmeLnNyNE8JPQF8OruxnKl8OO5Z6QN0bWEBoB2bOpm/lLXmzIYklpAl12K2fOzOBn3yqgKN24uVjP2nXU/f739Hz9NRFFRWTcczeRs2f79z0JcQiR0BcHp7fDCPjSD2HHJ8Y3XMH4wlP2bJh3M+Qew/bwidzz7g7e+byO6IgwLpybwyXH5JEea9wi2FFfT8MDD9L2yiuEJiaSdsci4r77XVSojJ8XYjhJ6Iv943JAZYkR8qUfGv3zbqcn5I+E42+F3LmQeRiERVDXbuPBd7fwrxVfYg0P4zcnTeCSY/KI8Uwh6O7tpfnJp2h67DHcDgcJl/6EpMsvJzQqyq9vU4hDlYS+2Le2Stj6Dmx5x2jN2ztBhUDGLDjmKig4DrJmg8ncf0i7zcFj723iiU/LcLk1F8/J48p540iMGphOsPPjj6m9YzGOigqiTjiB1OuvIzw3d/TfnxBjiIS+2J3LCZVfwZa3YesyqPfcETsuB6Z/HwrnQd5csMTvdqjT5eaZL8r503tbae12cNbMDK45aSI5idb+fRw1NdTd9Xs6li0jPD+fnKVPEDlnzmi9OyHGNAl9YehqhG3vGkG//T2wtUFImDGj00l3wPiTjdsH7+UGZOur27jxpbWsrWpj7rgkbjx1ElMzY/u3a4eD5qefoeHhh8HlIvnXvybhJz8euPOlEGLESeiPZc2lsPF12PS6MW4ebczLOmmBEfKF84zbC++DzeHiwXe38rdPSom3mnjowlmcPi190OQk3StXUvu72+ndupWo444j9dZbCM/KGsE3J4QYioT+WKK1cWvhja8ZQd830iZtGhx3oxH06TMhxPcpAz/b1shNr6ylvKmb84qzuPm0IuKsAy13V1sbdffdR9uLLxGWkU7Www8RdfzxBz73rBDioEjojwWd9fDZn42wb9kBKMg5Ck65CyadDvF5+33K1m47d76xkX+vrCQv0co/LzuSOYVJ/du11nS8/Q61ixfjamkh4dKfkPyLXxBite7lrEKIkebLHLlLgQVAvdZ66hDbLwJuABTQAVyutV7j2bbDs84FOH2ZyksMM5cTnv2uMQVgwXFwzK+NoI9KOeBTflXWzFXPr6K+o5crjivkVyeMx2waGE/vqKujdtEddL73HhGTi8h+7FH5Nq0QAcKXlv6TwEPA03vYXgYcq7VuUUqdCiwBjvTaPk9r3XhQVYoD99Vjxq0PvvckTDn7oE7lcmse/mAbD767hZwEK69cMYfpWXH927XbTesLL1B//x/QDgcp111LwsUXo8LkD0ohAsU+/2/UWn+slMrby/bPvF5+AcjVuUDRVgnv32n01U/+zkGdqrbNxq//tYovSpv5zswMFp89jaiIgX8+vaVl1Pz2/+gpWYn1qKNIX3Q74Tk5B/sOhBDDbLibYJcC//N6rYF3lFIaeExrvWRPByqlFgILAXIkLIbHWzeCdsNp9x3UXK/vb6rjmhfWYHO4uf97MzjnsMz+C7Ha5aL5qadp+NOfUBERpN95J7HfPVsu1AoRoIYt9JVS8zBCf67X6rla6yqlVAqwTCm1SWv98VDHe34hLAEoLi7Ww1XXmLX5LePC7Qm3HdCFWgC70809bxnfqi1Kj+GhC2dRmDxwe4TesjJqbr6FnlWriDr+eNJ+dxumlAO/ViCEGHnDEvpKqenA48CpWuumvvVa6yrPc71S6hVgNjBk6IthZO+CN68z5og9+soDOkVDRy9X/GMlK3a0cMmcPG48dVL/xVrtctH8zDM0PPAgymwm4957iDnjDGndCxEEDjr0lVI5wMvAD7XWW7zWRwIhWusOz/LJwKKD/XnCBx/dC2074ZI3D2ie2G8qW/nZMytp6bbzlwtmccaMjP5t9vJyqm++hZ6VK4maN4+0238nrXshgogvQzafA44DkpRSlcBtgAlAa/0o8FsgEXjE09LrG5qZCrziWRcG/FNr/dYIvAfhrW4DfP4QzPwB5B2z34f/Z1UVN7z0DUlREbx0+RymZBjfyNVuNy3/+Cf1f/gDKjyc9Lt/T+xZZ0nrXogg48vonQv2sf2nwE+HWF8KzDjw0sR+c7vhjd9ARDSctH9/VDldRv/93z4p48j8BB656LD+O2I66uqouelmuj77jMhjv036ojswpUrrXohgJAOoDyWr/wE7P4czH4LIRJ8Pa+t2cOVzX/PJ1kYuPjqXWxdMxhRq3Iqh/c03qbl9EdpuJ+3224k773vSuhciiEnoHyq6mmDZ/xl3xZx5kc+H7Wzq5sdPfsXO5m7u/u40zp9tDJd1tbVRe8di2l9/HfOM6WTee6/c616IQ4CE/qFi2W+NqQsXPODzDdNWljdz2dMrcWvNs5ceyZEFxl8HXZ9/TvVNN+NsaCDpV78kaeFC+VatEIcI+T/5ULBjOax+FuZeDSlFPh3y2ppqrvn3GjJizSy95AgKkqPQdjv1D/6J5qVLCc/PJ+/557BMmzbCxQshRpOEfrBz2o2Lt3E58O3r97m71ppHPtzOfW9v5oi8eB77YTEJkeHYd+yg6pprsa1fT9wF55N6/fWEWCyj8AaEEKNJQj/Yff4XaNgEF74A4Xu/bbHD5eaWV9byQkklZ83M4N5zpxMeGkLry69Qu3gxISYTWQ/9hegTTxyl4oUQo01CP5g1lxlfxCo6Ayacstddu3qdXP6Pr/l4SwO/On4cV580AXdnJ9W3/Y72N9/EesQRZNx3L6a0tFEqXgjhDxL6wUpr41YLIWEw/5697trQ0ctPnlzBhpr2/hE6PatXU3XNtThqa0n+9VUkXnYZKjR0r+cRQgQ/Cf1gtfFV2LbMmP0qNnOPu5U1dvGjpV/S2GHnbz86nHkTkml64gnq//gAprQ0cp99BuusWaNYuBDCnyT0g1FvB/zvBkidBrN/tsfdVu1s4dKnSgB4buFRTIuGyit+QeeHHxJ98smkL76D0JiY0apaCBEAJPSD0Qd3QUctfP9ZCB36P+EHm+q5/B8rSYk289RPZpNWuZXSi3+Ds6GR1FtuIf4HF8k3a4UYgyT0g03NGvjyUSj+MWQNPeXwf1dXcc0La5iYFs3fLzmC0JefZ8f9f8CUmkreP/8hY++FGMMk9IOJ2wWv/RqsiXDCb4fc5enPd3Dbq+uZnZfAkrMn0H7ztXS++x5RJ55Axp13EhobO7o1CyECioR+MFn5d6j+Gr77OFjiB23SWvPn97bxwLtbOLEolT8ebqX+BxfiqK4m9aYbif/Rj6Q7RwghoR80Ourg3UWQfyxMO3fQJrdbs+j1DTz52Q7OOSyLWyLKqf7BbYRGR5P79NNYD5PROUIIg4R+sHj7ZnD2wOl/HDTJucPl5voXv+GVVVX89OhsLl37GnXPPoul+HCyHniAsORkPxYthAg0EvrBYPv7sO5FOPZGSBrXv9rmcHHlP7/m3Y313HxkEie/cA+tK78m4eIfkXLttSiTyY9FCyECkYR+oHPY4I1rIKHAuIumR4fNwaVPlbBiRzMPTAlh6h+vw9bZScb99xO74HQ/FiyECGQ+3XhdKbVUKVWvlFq3h+1KKfVnpdQ2pdQ3SqnDvLZdrJTa6nlcPFyFjxmfPgDNpXD6H8BkBqCly86Ff/uSr8tb+HtKDZPuvQFlsZD3/PMS+EKIvfJttg14Epi/l+2nAuM9j4XAXwGUUgkYE6kfCcwGblNKxe/pJGIXjdvg0z/C1HOh8HgA6tttfH/J52ytaeV5+2ekPvYHIo84gvx/v4B54gQ/FyyECHQ+de9orT9WSuXtZZezgKe11hr4QikVp5RKB44DlmmtmwGUUsswfnk8dzBFjwlaG/fJD7MY99cBKlu6uejxL+luauGF8v9gWrXC6L+/7jqZ2UoI4ZPhSopMoMLrdaVn3Z7W70YptRDjrwRycnKGqawgtvZFKPsITrsfolMpbejkose/JLahikdWP0NIQx3pdy4m7pxz/F2pECKIBEzzUGu9BFgCUFxcrP1cjn/1tMDbN0Hm4VD8EzbXdnDR4+7eCnAAABqVSURBVF8wrWoD1331DGFmM1lPPYn1sMP2fS4hhPDia5/+vlQB2V6vszzr9rRe7M17d0B3Eyx4gI11XVzwty84ccsnXP/REsw5OeT/+wUJfCHEARmu0H8V+JFnFM9RQJvWugZ4GzhZKRXvuYB7smed2JPKEihZCkf+nPU6j4uWfMYPV/2Hi7/6N1Hf/jZ5zz6DKSPD31UKIYKUT907SqnnMC7KJimlKjFG5JgAtNaPAm8CpwHbgG7gx55tzUqpO4AVnlMt6ruoK4bgcsLrv4bodDZMvJIfP/oJV3/xLMU71xB/0UWk3nyTzG4lhDgovo7euWAf2zXwiz1sWwos3f/SxqCvHoPatZSf8Cg/e+xzbvv0cQqadpJ6800k/OhH/q5OCHEICJgLuWNeWyW8fyftWfP42ct27vzkYZIdnWT95c9En3iiv6sTQhwiJPQDxVs34nY7ufHrI1j86Z+IirKS+/dnZMITIcSwktAPBJvfgo2v8VzlSfzs839hzsok/4nHCc/a84TnQghxICT0/c3eTe+rv6F8ewYzSzZgKppMwRN/Iyxe7lYhhBh+wzVkUxygqv/+jo6SNlwrIHz2UYx75ikJfCHEiJHQ96PyDStQzzxPw5oYwk8+hXF/e5SQyEh/lyWEOIRJ946faLeL7ut/CtsiMX/3O+QtvhMVIr+DhRAjS1LGT1bfcz1ss9M7dwZ5d94lgS+EGBWSNH7QUllG5Iuvo2NDmPaXJ1Fec94KIcRIktD3g53XXYKrK4Twa24g1GL2dzlCiDFEQn+UbXrp74SvrqN3cjrjzpNbKwghRpdcyB1Fdls36sF7wQQFD8rtiIQQo09a+qNo3S0LcTdA77lnEpOT5+9yhBBjkIT+KKla8xWRy1bgSjUz/da7/V2OEGKMktAfDVrTeusVuB2KuDvul+GZQgi/kfQZBWseuZOQrV3Yjp5M1rdP8Hc5QogxTEJ/hHU21WN56hmIhMkP/t3f5QghxjgJ/RG27bqLcbWHwM9/TkRMrL/LEUKMcT6FvlJqvlJqs1Jqm1LqxiG2P6CUWu15bFFKtXptc3lte3U4iw9025f9F/OXZTgK4im67Cp/lyOEEPsep6+UCgUeBk4CKoEVSqlXtdYb+vbRWl/ttf8vgVlep+jRWs8cvpKDg8vhwPH7W0BB1h+X+LscIYQAfGvpzwa2aa1LtdZ24HngrL3sfwHw3HAUF8zWLL4KXe2iZ/6xJEya6u9yhBAC8C30M4EKr9eVnnW7UUrlAvnA+16rzUqpEqXUF0qp7xxwpUGkoXQjka++h04IY8Zdf/F3OUII0W+4b8NwPvCi1trltS5Xa12llCoA3ldKrdVab9/1QKXUQmAhQE5OzjCXNbpqrv8pph6FedFthISH+7scIUSQc7gdtNpaabY102xrpsXW0r/c9/CVL6FfBWR7vc7yrBvK+cAvvFdoras8z6VKqQ8x+vt3C32t9RJgCUBxcbH2oa6AtP7ZhzGtb6J3Zi5FZ5zr73KEEAHI5XbRZm+juaeZlt4WmmxN/cvNPYPDvKW3hbbetiHPE6pCiTfHE2/2fYpVX0J/BTBeKZWPEfbnAxfuupNSahIQD3zutS4e6NZa9yqlkoBjgHt9ri7I2LraCXvkIXQETPjz0/4uRwgxSrTWtNvbB4e1bZcw92qht/a24tbu3c6jUMRFxJFgTiDeHM+E+AkkmBMGHpYE4iPiSbAkkGhOJDo8mhAV0n+sL/YZ+lprp1LqSuBtIBRYqrVer5RaBJRorfuGYZ4PPK+19m6lFwGPKaXcGNcP7vYe9XOo2XDDT7A0g/PS87GmpPq7HCHEQbA5bQPBbWumqadpty6VZluz0TLvbcbpdg55nujwaBLNiSSYE8iNyWVWyqz+UO9bH2+OJ8GcQFxEHKEhoSP6vtTgjA4MxcXFuqSkxN9l7JedX35E96ULcaRGMfXdEpkNS4gA43K7aO1t3S209xTmXY6uIc9jDjWTaEkc3AL3aoknRCSQaEk0ul0i4jGFmkbl/SmlVmqti/e1n9xPfxhot5uO264ixK1IvuchCXwhRoHWmi5H10B4e1rku/aJe3e3aHZv5IaokP4ukwRzAlOTppJoTtxjsFtNVj+82+EjoT8M1jxwKxE7eumZN4ui4qP9XY4QQcvhcgwZ2E22pt1b5D3N2N32Ic8TbYruD3HvLpW+1nhft0qCOYHYiNj+fvGxQEL/ILXVVmL550u4Y0KZ9ocn/F2OEAFFa01bb9vglrh3X/guwd5h7xjyPKYQ06CW97i4cQPBbdm9NR4eKkOl90RC/yCVXXsxEV0hhPzfbzBZg/vPPiF84XK7jGGGPU2DWuBDvW62NePUu1/g9B6lkmBJYGLCxEGhvWv3SqQpUrpNh4mE/kHY8to/ifi6CvvEFGZc9FN/lyPEAbO77IO6UbwDfNfRK3vqG+9rjSeaE0m2JjMxYeKg8PYO8biIOMJCJH78QT71A+Sw9+K+bzEqDHLkPvkiAHU7ugcHuVeg77p+T90qljBLf3BnR2czM2Vm/+tdAz3aFC2t8SAgoX+A1v7fz7HUa3rPm098fqG/yxFjQN9olcaext2CfNfulSZbEz3OniHP4z1ufHz8eI4yH2WEuCfI+0I80ZwY9CNVxO4k9A9A7frVRL71Gc4UM9N/e7+/yxFBzu6y09TTRGNPo/GwGc+D1nle21y23Y7v6x/vC+ppydN2a417t8rlIufYJqF/ABpu/hlhdkX0bfcQEiYfodhd3xeB+sPb1rhbgPctt9vbhzxHXEQcSZYkEi2JzEyZSZI5qf91f5hbEqV/XOwX+Zeyn9YuuZewze3YjpxA0Qnz/V2OGEXe3St9LfKhWuONPY0025pxDbrZrMESZiHJYoR3YVwhs9Nm97/ue/SF+mh9k1OMLRL6+6GnrYXwJ5airYpJDz7p73LEMOm7WVZDdwP1PfU0dDfQ0NPQ/1zfXb/X7pUwFdbf6k62JlOUWESiOXG3ME+yJEkfufA7Cf39sOnaizG3KVy/uhRLfIK/yxH7oLWm09E5ZJjXd9cPCvReV+9ux0ebokm2JpNsSWZWyqxBLfEkS1J/d0tMRMyY+kanCG4S+j7a8dH/sHy2BXteLNOvuNbf5Yx53Y5u6rrr+gO9sbuxP9j7Ar2xp3HIESyRpkiSLcmkWFOYmTKTZEty/+tkazIplhSSrElYwix+eGdCjCwJfR+4XU56Ft2AUpB236P+LueQ1+3opra7lrquOmq7aqnrNp771tV11dHh2H1cuSXMYgS3JZmpiVONAPe87muxJ1uTiTRF+uFdCREYJPR9sPr312GpctBz6hxSps3ydzlBra+F3h/kXqHe9zzUF4USzAmkRaaRHZ3NEWlHkGpNJcWaMqh1Ll/VF2LfJPT3obl8O5EvvYk7Pozpd//V3+UEvLbeNqo7q6nqrOp/VHdWU9NVQ21X7ZDDExPMCaRaU8mMyuTwlMNJjUwlLTKNVOvAs4wtF2J4SOjvQ8V1Pya8R2H67S2ERkT4uxy/63J0GWHeUUV1VzWVHZX9IV/dWb1bt0uUKYrMqEwyojKYlTJrUJinWdNIiUwhIlQ+VyFGi4T+Xmx84XHC19bTOz2LorN3mxb4kOTWbuq76ylvL6e8vZyKjopBLfbW3tZB+1vCLGRGZZIZlclhqYf1L/cFfWxErJ/eiRBiKBL6e2Dv6UL96Q8QDoWH4A3V2nrbKGsro6ytjB3tO9jZvpPyjnIq2isGjUUPDwknIyqDzOhMpiZOJTPaCPOsqCwyojKIj4iXfnQhgohPoa+Umg/8CWNi9Me11nfvsv0S4D6gyrPqIa31455tFwO3etYv1lo/NQx1j7h1N16GpQnsF3+X6Ixsf5dzwFpsLWxr3UZpaynb27ZT2lpKaVspDT0N/fuEhYSRHZ1NbnQuR6cfTW5MLjkxOeRG55IamSpj0IU4hOwz9JVSocDDwElAJbBCKfWq1nrDLrv+S2t95S7HJgC3AcWABlZ6jm0ZlupHSNXXn2N9fyXO9Eim33inv8vxiVu72dm+k80tm9ncvJlNzZvY3LKZ+u76/n0iTZEUxhZyTOYxFMQWUBhXSH5sPhmRGYSGhPqxeiHEaPGlpT8b2Ka1LgVQSj0PnAXsGvpDOQVYprVu9hy7DJgPPHdg5Y487XbTeusvCHEp4u96IGC7Lhp7Gvmm4RvWNq5lbcNa1jWto8vRBRi3BciPy+fItCOZmDCR8XHjKYgrINWaGrDvRwgxOnwJ/Uygwut1JXDkEPudo5T6NrAFuFprXbGHYzOH+iFKqYXAQoCcnBwfyhoZ3/zlDsJLe+j59jSKjj7Wb3V401pT1l7GyrqVlNSWsKp+FTVdNYAR8BMSJrCgYAFTEqcwKWEShXGFMsRRCDGk4bqQ+xrwnNa6Vyn1M+Ap4Pj9OYHWegmwBKC4uHj3udhGQWdDLeZn/ok7OpQpf1zqjxL61XbVsrxqOZ/XfE5JbQlNtiYAkixJHJ56OD8o+gHTk6czKWES5jCzX2sVQgQPX0K/CvC+kpnFwAVbALTWTV4vHwfu9Tr2uF2O/XB/ixwt2665mIjOELjhF0RERY/qz3a4HKyoW8EnlZ+wvHo5ZW1lAKRYUjgq4yiKU4spTi0mNyZXumiEEAfMl9BfAYxXSuVjhPj5wKBB60qpdK11jeflmcBGz/LbwF1KqXjP65OBmw666hGw7a2XMZeU0zs+kRk//sWo/Mx2ezufVH7ChxUf8mnVp3Q6OokIjaA4tZhzxp/DMRnHUBhXKCEvhBg2+wx9rbVTKXUlRoCHAku11uuVUouAEq31q8CvlFJnAk6gGbjEc2yzUuoOjF8cAIv6LuoGEpfDgePu36JCIfuBJ0b0Z3XaO/mg4gPe3vE2y6uX43Q7STAncHLeyczLnseR6UfK3R2FECNGae2X7vO9Ki4u1iUlJaP2876+5WdYXvoY29nzmPX7R4b9/HaXnY8qP+K17a+xvGo5dredVGsqp+Sdwkm5JzEtaZoMmRRCHBSl1EqtdfG+9hvz38it37qByNc/xJUUzow7/jxs59Vas7ZxLa9uf5X/lf2Pdns7yZZkzpt4HqfkncL05OnypSchxKgb86Ffe92lmOwKy62Lh2WS825HN2+UvcG/Nv2LzS2bMYeaOT7neM4sPJOj0o+SFr0Qwq/GdOiv//ufMW1qxXZ4AUXzzzqoc5W2lfLC5hf477b/0unoZGL8RH579G85Ne9UosKjhqliIYQ4OGM29G0dbYQ9+le0VTPxzwd2OyCX28WHFR/y3Kbn+LL2S0whJk7OO5nzJ57PjOQZMupGCBFwxmzob7jux1jawHn5D7AmJu/XsQ6Xg9dLX2fpuqXsaN9BRmQGVx12FWePO5tES+IIVSyEEAdvTIb+zs8+wPrJBhw50Uz91S0+H9ft6ObFLS/y1IanqO+upyihiPuOvY+Tck6SvnohRFAYc6Gv3W46b7uaECD57od96oLpcnTx7IZneWbjM7T1tnFE2hEsmrOIORlzpAtHCBFUxlzor7n3JiIqeuk+qZhJh83e6769rl5e2PwCj699nGZbM8dlHcdPp/+UGckzRqlaIYQYXmMq9FuqdmJ54T+448KYfu/f9rifw+3gv9v+y6NrHqWuu46j0o/il7N+yfTk6aNYrRBCDL8xFfrl11xCRHcIoTdcR5hl6FsdfFb9GXd/dTdlbWVMT57OnXPv5Mj0oe4kLYQQwWfMhP7mV54lYk019ilpzPj+Jbttr+qs4r4V9/HezvfIisriwXkPcnz28dJnL4Q4pIyJ0Hf02tB/uAsVDnkPPDl4m9vBU+uf4tE1jxKiQvjlrF9y8ZSLiQiN8E+xQggxgsZE6K+9eSGWRk3vhQuIzcnrX7+ucR23fXYbW1q2cGLOidww+wbSItP8V6gQQoywQz70a9euxPrOl7jSzEy/5R4AbE4bf171Z/6x8R8kmZN4cN6DnJBzgp8rFUKIkXfIh37DTZcT5lJEL7qfkNBQ1jet56ZPbqKsrYzvT/w+Vx12FdHhoztLlhBC+MshHfprH/k9Yds6sM2ZxPi581jyzRL+uvqvJJgTeOykx5iTMcffJQohxKg6ZEO/q7mR8L8/hY5SJN91P5e+fSlf13/N/Lz53HrUrcRGxPq7RCGEGHWHbOhvufZizB2KHVeexb0fX0aXo4u75t7FgoIFMgxTCDFm+TR1k1JqvlJqs1Jqm1LqxiG2/0YptUEp9Y1S6j2lVK7XNpdSarXn8epwFr8nZe+9juWL7VRMsHBTzFtYw6w8e9qznFF4hgS+EGJM22dLXykVCjwMnARUAiuUUq9qrTd47bYKKNZadyulLgfuBb7v2dajtZ45zHXvkdvlonvxTTjD4I5T7BybdQKL5y6Wi7VCCIFvLf3ZwDatdanW2g48DwyaZkpr/YHWutvz8gsga3jL9N1Xt19JSI2Tp48L5YJjruDBeQ9K4AshhIcvoZ8JVHi9rvSs25NLgf95vTYrpUqUUl8opb6zp4OUUgs9+5U0NDT4UNbuqrasIfT1D9mWDnMvv50rZl4h3TlCCOHFpz59XymlfgAUA/d5rc7VWhcDFwIPKqUKhzpWa71Ea12stS5OTt6/maz6fHnrj7H2gL7sIs4uOveAziGEEIcyX0K/Csj2ep3lWTeIUupE4BbgTK11b996rXWV57kU+BCYdRD17tH7Ty5m4jc9rDksijMvvHUkfoQQQgQ9X0J/BTBeKZWvlAoHzgcGjcJRSs0CHsMI/Hqv9fFKqQjPchJwDOB9AXhY2Lra4Yl/0BYFx9397HCfXgghDhn7DH2ttRO4Engb2Ai8oLVer5RapJQ607PbfUAU8O9dhmYWASVKqTXAB8Ddu4z6GRavXX8O6Q1QcfZsMrInDvfphRDikKG01v6uYTfFxcW6pKTEp33XL38T+8+voTw7lDNf/4aQkGG9TCGEEEFBKbXSc/10r4I6IbXbTeld16M0ZN1wuwS+EELsQ1Cn5Gv3Xs647S7WfSuN4mPP8Xc5QggR8II29Bury0h86WNqEuGse1/2dzlCCBEUgjb0P7jhAhI6oPuSc4iOjvd3OUIIERSCMvSXv/QIk1a2sXaqmQWXLfZ3OUIIETSC7tbKzt5eOh96CFMEFC9e4u9yhBAiqARdS/+VW88jp0azfX4RBZOO8Hc5QggRVIIq9Let+Yz8ZVsozVJ8745/+bscIYQIOkEV+mt/dzkRdoj99dWEhZn8XY4QQgSdoAn9Nx++nkkb7aybHcfcBZf5uxwhhAhKQRH67c31RD77Gg2xcMp9L/q7HCGECFpBEfr/u+FcUlqg6fsnkJC8t/lbhBBC7E3Ah37JsueZ9FkDGyeYOPs3D/m7HCGECGoBHfoup5Pa++/AFQpF//dHf5cjhBBBL6BD/z93XExhuZvN83IpOuJEf5cjhBBBL2BDv6p0A5mvf01lquLsu1/ydzlCCHFICNjQ/+zmHxLdDepnl2C2RPq7HCGEOCQE5L132ptqmdwZzbpZkXz/wuv9XY4QQhwyfGrpK6XmK6U2K6W2KaVuHGJ7hFLqX57tXyql8ry23eRZv1kpdYpPVTU20R4J37r7GR/fhhBCCF/sM/SVUqHAw8CpwGTgAqXU5F12uxRo0VqPAx4A7vEcOxk4H5gCzAce8Zxvr8IdUHVWMRm5RfvzXoQQQuyDLy392cA2rXWp1toOPA+ctcs+ZwFPeZZfBE5QSinP+ue11r1a6zJgm+d8e9UbAWff/Hdf34MQQggf+RL6mUCF1+tKz7oh99FaO4E2INHHYwFQSi1USpUopUp6o2IIDQvIyw1CCBHUAmb0jtZ6ida6WGtdnJKe7e9yhBDikORL6FcB3imc5Vk35D5KqTAgFmjy8VghhBCjxJfQXwGMV0rlK6XCMS7MvrrLPq8CF3uWzwXe11prz/rzPaN78oHxwFfDU7oQQoj9tc+Oc621Uyl1JfA2EAos1VqvV0otAkq01q8CTwDPKKW2Ac0Yvxjw7PcCsAFwAr/QWrtG6L0IIYTYB2U0yANLcXGxLikp8XcZQggRNJRSK7XWxfvaL2Au5AohhBh5EvpCCDGGSOgLIcQYIqEvhBBjSEBeyFVKdQCb/V1HgEgCGv1dRACQz2GAfBYD5LMYMFFrHb2vnQL1XgebfbkKPRYopUrks5DPwZt8FgPksxiglPJpyKN07wghxBgioS+EEGNIoIb+En8XEEDkszDI5zBAPosB8lkM8OmzCMgLuUIIIUZGoLb0hRBCjAAJfSGEGEMCKvT3NQH7WKGUWqqUqldKrfN3Lf6mlMpWSn2glNqglFqvlLrK3zX5i1LKrJT6Sim1xvNZ3O7vmvxNKRWqlFqllHrd37X4k1Jqh1JqrVJq9b6GbgZMn75nwvQtwEkY0yquAC7QWm/wa2F+oJT6NtAJPK21nurvevxJKZUOpGutv1ZKRQMrge+M0X8XCojUWncqpUzAp8BVWusv/Fya3yilfgMUAzFa6wX+rsdflFI7gGKt9T6/qBZILX1fJmAfE7TWH2PMSzDmaa1rtNZfe5Y7gI3sYZ7lQ502dHpemjyPwGi1+YFSKgs4HXjc37UEk0AKfZ8nURdjk1IqD5gFfOnfSvzH052xGqgHlmmtx+xnATwIXA+4/V1IANDAO0qplUqphXvbMZBCX4g9UkpFAS8Bv9Zat/u7Hn/RWru01jMx5puerZQak91/SqkFQL3WeqW/awkQc7XWhwGnAr/wdBEPKZBCXyZRF0Py9F+/BPxDa/2yv+sJBFrrVuADYL6/a/GTY4AzPX3ZzwPHK6We9W9J/qO1rvI81wOvYHSXDymQQt+XCdjFGOO5ePkEsFFr/Ud/1+NPSqlkpVScZ9mCMehhk3+r8g+t9U1a6yytdR5GVryvtf6Bn8vyC6VUpGeQA0qpSOBkYI8j/wIm9LXWTqBvAvaNwAta6/X+rco/lFLPAZ8DE5VSlUqpS/1dkx8dA/wQoyW32vM4zd9F+Uk68IFS6huMRtIyrfWYHqooAEgFPlVKrQG+At7QWr+1p50DZsimEEKIkRcwLX0hhBAjT0JfCCHGEAl9IYQYQyT0hRBiDJHQF0KIMURCXwghxhAJfSGEGEP+H2zBW+AfBijDAAAAAElFTkSuQmCC\n", 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" ] @@ -489,13 +502,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving a kinky consumer took 0.3006 seconds.\n", + "Solving a kinky consumer took 0.2996 seconds.\n", "Kinky consumption function:\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -511,7 +524,7 @@ "KinkyExample.solve()\n", "end_time = time()\n", "print(\"Solving a kinky consumer took \" + mystr(end_time - start_time) + \" seconds.\")\n", - "KinkyExample.unpackcFunc()\n", + "KinkyExample.unpack('cFunc')\n", "print(\"Kinky consumption function:\")\n", "plotFuncs(KinkyExample.cFunc[0], KinkyExample.solution[0].mNrmMin, 5)" ] @@ -528,18 +541,12 @@ " KinkyExample.initializeSim()\n", " KinkyExample.simulate()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", + "formats": "ipynb,py", "main_language": "python", "notebook_metadata_filter": "-all" }, @@ -558,7 +565,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.7.6" } }, "nbformat": 4, diff --git a/examples/ConsumptionSaving/example_ConsIndShock.py b/examples/ConsumptionSaving/example_ConsIndShock.py index 8aa9fc1c8..3246b3bb1 100644 --- a/examples/ConsumptionSaving/example_ConsIndShock.py +++ b/examples/ConsumptionSaving/example_ConsIndShock.py @@ -1,4 +1,3 @@ -# %% from HARK.ConsumptionSaving.ConsIndShockModel import ( PerfForesightConsumerType, IndShockConsumerType, @@ -9,20 +8,16 @@ from HARK.utilities import plotFuncsDer, plotFuncs from time import time -# %% mystr = lambda number: "{:.4f}".format(number) -# %% do_simulation = True -# %% # Make and solve an example perfect foresight consumer PFexample = PerfForesightConsumerType() # Make this type have an infinite horizon PFexample.cycles = 0 -# %% start_time = time() PFexample.solve() end_time = time() @@ -31,27 +26,23 @@ + mystr(end_time - start_time) + " seconds." ) -PFexample.unpackcFunc() +PFexample.unpack('cFunc') -# %% # Plot the perfect foresight consumption function print("Perfect foresight consumption function:") mMin = PFexample.solution[0].mNrmMin plotFuncs(PFexample.cFunc[0], mMin, mMin + 10) -# %% if do_simulation: PFexample.T_sim = 120 # Set number of simulation periods PFexample.track_vars = ["mNrmNow"] PFexample.initializeSim() PFexample.simulate() -# %% # Make and solve an example consumer with idiosyncratic income shocks IndShockExample = IndShockConsumerType() IndShockExample.cycles = 0 # Make this type have an infinite horizon -# %% start_time = time() IndShockExample.solve() end_time = time() @@ -60,16 +51,14 @@ + mystr(end_time - start_time) + " seconds." ) -IndShockExample.unpackcFunc() +IndShockExample.unpack('cFunc') -# %% # Plot the consumption function and MPC for the infinite horizon consumer print("Concave consumption function:") plotFuncs(IndShockExample.cFunc[0], IndShockExample.solution[0].mNrmMin, 5) print("Marginal consumption function:") plotFuncsDer(IndShockExample.cFunc[0], IndShockExample.solution[0].mNrmMin, 5) -# %% # Compare the consumption functions for the perfect foresight and idiosyncratic # shock types. Risky income cFunc asymptotically approaches perfect foresight cFunc. print("Consumption functions for perfect foresight vs idiosyncratic shocks:") @@ -79,7 +68,6 @@ 100, ) -# %% # Compare the value functions for the two types if IndShockExample.vFuncBool: print("Value functions for perfect foresight vs idiosyncratic shocks:") @@ -89,7 +77,6 @@ 10, ) -# %% # Simulate some data; results stored in mNrmNow_hist, cNrmNow_hist, and pLvlNow_hist if do_simulation: IndShockExample.T_sim = 120 @@ -98,21 +85,18 @@ IndShockExample.initializeSim() IndShockExample.simulate() -# %% # Make and solve an idiosyncratic shocks consumer with a finite lifecycle LifecycleExample = IndShockConsumerType(**init_lifecycle) LifecycleExample.cycles = ( 1 ) # Make this consumer live a sequence of periods exactly once -# %% start_time = time() LifecycleExample.solve() end_time = time() print("Solving a lifecycle consumer took " + mystr(end_time - start_time) + " seconds.") -LifecycleExample.unpackcFunc() +LifecycleExample.unpack('cFunc') -# %% # Plot the consumption functions during working life print("Consumption functions while working:") mMin = min( @@ -120,12 +104,10 @@ ) plotFuncs(LifecycleExample.cFunc[: LifecycleExample.T_retire], mMin, 5) -# %% # Plot the consumption functions during retirement print("Consumption functions while retired:") -plotFuncs(LifecycleExample.cFunc[LifecycleExample.T_retire:], 0, 5) +plotFuncs(LifecycleExample.cFunc[LifecycleExample.T_retire :], 0, 5) -# %% # Simulate some data; results stored in mNrmNow_hist, cNrmNow_hist, pLvlNow_hist, and t_age_hist if do_simulation: LifecycleExample.T_sim = 120 @@ -133,26 +115,22 @@ LifecycleExample.initializeSim() LifecycleExample.simulate() -# %% # Make and solve a "cyclical" consumer type who lives the same four quarters repeatedly. # The consumer has income that greatly fluctuates throughout the year. CyclicalExample = IndShockConsumerType(**init_cyclical) CyclicalExample.cycles = 0 -# %% start_time = time() CyclicalExample.solve() end_time = time() print("Solving a cyclical consumer took " + mystr(end_time - start_time) + " seconds.") -CyclicalExample.unpackcFunc() +CyclicalExample.unpack('cFunc') -# %% # Plot the consumption functions for the cyclical consumer type print("Quarterly consumption functions:") mMin = min([X.mNrmMin for X in CyclicalExample.solution]) plotFuncs(CyclicalExample.cFunc, mMin, 5) -# %% # Simulate some data; results stored in cHist, mHist, bHist, aHist, MPChist, and pHist if do_simulation: CyclicalExample.T_sim = 480 @@ -160,21 +138,18 @@ CyclicalExample.initializeSim() CyclicalExample.simulate() -# %% # Make and solve an agent with a kinky interest rate KinkyExample = KinkedRconsumerType() KinkyExample.cycles = 0 # Make the Example infinite horizon -# %% start_time = time() KinkyExample.solve() end_time = time() print("Solving a kinky consumer took " + mystr(end_time - start_time) + " seconds.") -KinkyExample.unpackcFunc() +KinkyExample.unpack('cFunc') print("Kinky consumption function:") plotFuncs(KinkyExample.cFunc[0], KinkyExample.solution[0].mNrmMin, 5) -# %% if do_simulation: KinkyExample.T_sim = 120 KinkyExample.track_vars = ["mNrmNow", "cNrmNow", "pLvlNow"] diff --git a/examples/ConsumptionSaving/example_ConsLaborModel.ipynb b/examples/ConsumptionSaving/example_ConsLaborModel.ipynb new file mode 100644 index 000000000..cba283359 --- /dev/null +++ b/examples/ConsumptionSaving/example_ConsLaborModel.ipynb @@ -0,0 +1,576 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from HARK.ConsumptionSaving.ConsLaborModel import (\n", + " LaborIntMargConsumerType,\n", + " init_labor_lifecycle,\n", + ")\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "from time import process_time" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "mystr = lambda number: \"{:.4f}\".format(number) # Format numbers as strings" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "do_simulation = True" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "# Make and solve a labor intensive margin consumer i.e. a consumer with utility for leisure\n", + "LaborIntMargExample = LaborIntMargConsumerType(verbose=0)\n", + "LaborIntMargExample.cycles = 0" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Solving a labor intensive margin consumer took 0.7272719999999997 seconds.\n" + ] + } + ], + "source": [ + "t_start = process_time()\n", + "LaborIntMargExample.solve()\n", + "t_end = process_time()\n", + "print(\n", + " \"Solving a labor intensive margin consumer took \"\n", + " + str(t_end - t_start)\n", + " + \" seconds.\"\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "t = 0\n", + "bMin_orig = 0.0\n", + "bMax = 100.0" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the consumption function at various transitory productivity shocks\n", + "TranShkSet = LaborIntMargExample.TranShkGrid[t]\n", + "bMin = bMin_orig\n", + "B = np.linspace(bMin, bMax, 300)\n", + "bMin = bMin_orig\n", + "for Shk in TranShkSet:\n", + " B_temp = B + LaborIntMargExample.solution[t].bNrmMin(Shk)\n", + " C = LaborIntMargExample.solution[t].cFunc(B_temp, Shk * np.ones_like(B_temp))\n", + " plt.plot(B_temp, C)\n", + " bMin = np.minimum(bMin, B_temp[0])\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "plt.ylabel(\"Normalized consumption level\")\n", + "plt.xlim(bMin, bMax - bMin_orig + bMin)\n", + "plt.ylim(0.0, None)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the marginal consumption function at various transitory productivity shocks\n", + "TranShkSet = LaborIntMargExample.TranShkGrid[t]\n", + "bMin = bMin_orig\n", + "B = np.linspace(bMin, bMax, 300)\n", + "for Shk in TranShkSet:\n", + " B_temp = B + LaborIntMargExample.solution[t].bNrmMin(Shk)\n", + " C = LaborIntMargExample.solution[t].cFunc.derivativeX(\n", + " B_temp, Shk * np.ones_like(B_temp)\n", + " )\n", + " plt.plot(B_temp, C)\n", + " bMin = np.minimum(bMin, B_temp[0])\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "plt.ylabel(\"Marginal propensity to consume\")\n", + "plt.xlim(bMin, bMax - bMin_orig + bMin)\n", + "plt.ylim(0.0, 1.0)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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5GsVumXjFnSXXqCXhCbtom96FzGBvphh/jL61DaM0b2KR04jZKSnM7p7HrodtMftlKQF5v4KU/DzrDNHBqdi7uTP80y9o0LY9h9Z+y+bZn1CYl1vVR6woivKP3U0fwZdABNAH+FRK2UpK+bmUsj/QorILLBcrZ3h4KkTu4KHsDJ7xHcnULkm45B/DvaCAVNyITzqOf+rDZAd7Mtn4I/T+trykfY2svFYsjk9gXdsCvhtkg9HRbfhHLcbGzphtC4M4vycWYxNT+k54ky4jX+DK2VOsmTKR5OjLVX3UiqIo/8jdXBEEAc2klC9IKU/8oc3/Tm8UQvQSQkQIIS4JISb/xT5DhBChQogQIcT3d1n33fN/AZybwfa3mOAzkrq1m/LpwBIahH+Ho8aF2BIN6SnBtEh5mNwQD97SfYze34ZJuvGE5nfim7hYDvkUMe8JS4gKpumBadSub8ahHyMJXBOOoUTSsnd/hrz/GaV6PWvfeZ0Lgbsq/DAURVEqi/iruXSEEC3v9EYp5Zk7fnDZ7aSLQHcgDjgJDJNSht60jxewHnhYSpkhhKgppbzjPNB+fn7y1KlTd9rldvFnYenD0OJp4rq8yZBfhtAjxopHv0vldMd3ySnYT0OTmmgdPAh12oWF71U+K3mP0jMFvJr3PYNMf2FMbQ8skgx8sFGHUYkg5dmZBJ3XU6ueNb3HNsHcSkd+ViZb583g6oUgfDt1o+tzYzE2Nf1ntSqKolQCIcRpKaXfn7bdIQgC7/CZUkr58N98aQDwgZSy5/XXU66/cfpN+8wALkopl935EP7vXwUBwK734PBcGLaOQDNTXgl8hbdDvWiwM5Uz7aZQkLeVJuaeFNk6ctFpL9a+l5kup1F8pphRWT8z1mQt4+rUJzm7mFmbrTFNyqJ47CccC6+BqaUxvcc2oWYdKwyGUo5uWMuxn3/AzsWN/hPfwqG2xz+vV1EUpQLdKQj+8taQlLLLHX7uGALXuQKxN72Ou77tZg2ABkKIw0KIY0KIXn9xAGOEEKeEEKdSUlLu4qv/RJepUKsJbB5HFztfXmr+Ep82ukhBK0eanpiDzqwvwfmhWGbn4pnUhcwLnrwj3sWslZZldo/yWdHzLI25go+FlhcfzyC1YU10X71JJ6cLAPw86wyRJ5PQaLS0H/IUj0/9iMLcHL57+zWC9uxQs5gqivKfdTedxaZCiNeEED8LIX4SQkwUQlTU/Q4jwAvoDAwDlgohbP64k5RyiZTST0rp5+jo+C+/yQQeXQbFubB5HC80GUPXOt2Y2C4Scw9TmgQvx8h0IGezj2GXW0yD5M6kBnvzDu9RowVscOzNuMLXmBEXT38hGN8nkbBOdZBrFtA+8ycc3SzYuTyEoxujMBgkdZo055kZX+Hi7cOuJV+x7atZFBfkl+NUKYqiVI676SxeBfgCXwHzr/+++i7edw1wv+m12/VtN4sDtkgp9VLKK5T1KXjdxWf/OzW9ofuHELkDzemVfNLhE9zt6/Na72Tsa+Tge3kTwmQQJzP2YZ+vxzvlIRKDfHnH8B62zfTsc23H0IKpvJKczYS8Yt5vd42dj9ZBv38HzY5+hndLG87siGHb10EUFZRgYWPL429/SPuhTxNx5CCrJ08g6UpUpR2eoijKv/GXfQQ3dhAiVErp83fb/uR9RpT9Ye9KWQCcBJ6UUobctE8vyjqQRwghHICzQHMpZdpffe6/7iP4ncEA3z0GMUdh9B5izawYvm047vlmvPdNPrH2AYQ5toXijbSx60a6uTGh9oeo3fQ0s7XvEBdlTb2oSNZbzOKMWT5THW3pkmDH8+uz0JiZk/fiLI4dzsfa0YzeLzTBzsUCgLiwC2ydN5OC7Cw6PzOaZj36IIT498ehKIryD/yrPoKbnBFCtL3pw9oAf/uXWEpZAowDdlA2TcV6KWWIEOJDIcSA67vtANKEEKFAIPDGnUKgQmg0MGgRmFrDD0/jrrNm3sPzCDdOZfGImrjFBdIgLxx0gzievgv7ghJ80zoQc96PKaUf0sAzgUuNvOmb9y5eBY4siU/guGsO74/QUWIsMP98DN3aFFKUr+fHz09x6XTZICi3Ro15+vN51G7SnD0rvuaXL6erB9AURflPuJsrgjCgIXD1+qbalD1gVkLZ6KGmlVrhH5T7iuB30Yfh2/7QqB8M/padMbuYtH8SIwtb0Xv+aWL8RnHJyA2KNxLg0It0UyPOWR/Dp8VhFhu9yOkkH+yDE1hmNh9nzvNy3YZk5eTz5U5nzEOjMR89npMl/iRdyaZ599oEDKqHRqtBGgyc2rqJQ2u/xdLOgX4T3sTZq2H5j0dRFOUO/tXw0ZveXOdO7VLKmHLU9o9VWBBA2XDSXe9Bz+kQ8BIrL6xk9unZvJ3XhWbz93Cl/XguY4cs2kg7x77kmOg4bnWCJi32s0Y3nH3pAdicS2a68bd0YTeT6vpwujibGSc8cdsfgXmXrlwJGEvIkWRcG9rQY1RjzK10AMRfDGfrvBnkpKXSbvBw/Ac9jkajrZjjUhRF+YNyBcH1D2gJdAAkcPjvHiarTBUaBFLCuuEQuQNG/Iqs3ZaPj33M+ovr+SK3H65fbSaqyxtE682RxZsIcOxNoYkFh2ucpEnzQDaZ9uHX7D7UOJvGC/IXXhFr+Kx2Q9Zr8pkQ5UX7nyPReXiQ/8KnHN6VjpmlMb3GNMGprhUAhXm57F62kIgjB3Br1Jje4yZh5fAvR0UpiqLcQXmvCN4DBgM/X980CPhRSvlxhVZ5lyo0CAAKMsueOi7KhtGBlFg5MyFwAoeuHWJRen+sF/1MZPepXC3QQvEmWjv0AFM79lmewrdpIIHmbfi+8ElszmfQNfcQc02+5gdHJ2aYa+iZ7spz69IQBonp1JnsP2lMXlYRDw1tgG/HskcqpJSEHtjLnhWL0Gq1dH9hPA3atK+441MURaH8QRBB2VxDhddfmwHnpJRVcmO7woMAIOUiLOsKtnXguR0UaDSM2TmGkLQQlsf3QrdyMxd7fkBcrgGp30Qruy6YmNZit8UZGjUJ5GyN+iwteZkaF7JomBLM95ZzOG0Gb9Z0wC3PjA9/sUBExWA1fhKnS1oRG5pOo/bOPPREA4yMy24HZSTGs23eTBKjImnStSddnhmtpqdQFKXClHfUUDxw818kE25/HqB6c2wAj6+AxAuw6SXMtKbM7zqfOlZ1GOu6G/FEXxrsmIabjQ6he5QzGfvIL4ilZ15rwoO70yTjKm8afUxRc0vC3JrTI+d9vIqsWRV7ldwaBkY/lkL+Q83JnjeLlldW0aq7K2GHE9g46wzZaQUA2NZy4YkPZ+I/aDDBe3eyespE9cyBoij3xN0EQRYQIoRYKYT4BrgAZAoh5gkh5lVuefeQV/eyh81CN8GBWVibWLOo2yJsTG15seExjAd0p8HWd3G304HxowRlHSEjL5I+ea24HNYVx6QS3mUyRr5GJHjVp0fWVArx5btLIdQztWRkQBBRw9qR89tv1FwzhR5DXMlMymf9pyeJDi5b8lJrZETHYSMY/M4n6AsL+H7qJE79ulEteqMoSqW6m1tDI+7ULqX8tkIr+huVcmvod1LCxrEQtA6GroFG/YnOimbEbyMwEyYsON6Iwm27uTRwOlfTStAYNuFl1hj3Gs35zfI8Ni4nsKgTw2ztpyTEmWMWkspsi+/oXvIbH9VvzubSdEZkN6XfqotojIyp8eEX7D+uIS0ul5a96tCmf1002rJsLsjJZufieVw6eYw6TVvQ++XXsLCxrZzjVhTlvlfuUUP/JZUaBAD6QljZF5JD4dlt4NKCkLQQRu0YhYtZLWYf9CB/+y6iBk3naqoBITdSV9cAL6u27KwRjMbuNK4Ng5infZ/QFFdqBKXzotF2XjGsYq17Q2YaF+Knd+P1DSXIq9ewf/0tLhj5EXY4AdcGNnQf5YuFtQlQ1pEcvGcHgd8uxdjUlF4vTqRey9aVd+yKoty3yttZfIWyYaO3kFLWq5jy/plKDwKA3OSyzuOSInh+N9jU5njCcV7a/RINrDyZHliLvB27iXrkM66mGtDIzThrXGhq15W9liHkW56nYZPjLNNO4HB2U2zPZ9Cp6CRfmSzgVA0rXnewwUSv4YuDddAdPodVv35k9x/HgQ1XMDYzoucoX1wb/v9f/2lxsWydN4OUmCs079mXh4Y/i7GJ6khWFOXulTcI7G96aUrZUFI7KeV7FVfi3bsnQQCQEgHLu0MNZ3huB5jZsD92PxMDJ9LE1pePdtuRu3MPlx/9jJgUMNL8gq3ekjZOAzloHk6SaTBNWxziJ+1QNhf2wDEoE5fMSH60mkeWIYMJ9X24XJjCjJgA3NcexMTTE/P3ZrF3azqZSfn4D6hHq551EJqy+YhK9HoOrV3J6a2bsXNxo8/413Gq51n550FRlPtChd8auv6Brcpd2b9wz4IA4MoBWP0o1AmA4T+BkY6d0Tt548AbtHFoxdTt5uTuDuTKY58TnSzQGW/HNM9AZ7ehHNddJkoXTKtWh9hrFMC3pSOwC8/BOC6eDXaLcC44zzvebdlVeI3RBf70XBkKJSU4fvI5p+KciDyZRJ3G9nQb6YOppfGNkmKCzvHb11+Sn5VJu8HDaT3wMfVEsqIof6u8VwQ3L1mpAfyAF6WUzSquxLt3T4MA4Pw62PgCNBsGg74GIfgl6hemHppKx1oBvLVFS+6efcQ8MYOoBCNMdDvQZGbRzeMZgo3iOG8UTKtWRwjWubBAvInplQJKL6ax0HYd3Qq2saS+H/MNybQTXkzaZKA0NAK7F14gufljHPrpEuZWOnqObkytutY3SirIzWHPsoVEHD2IS0Mf+ox7Deuate7dOVEUpdopbxDcvGRlCRANzJJSRlRYhf/APQ8CgP0zIPAT6DwFOk8GYMPFDUw7Oo3uLl2Y+LOe3MD9XBv2GRHxppia7qE09Ro964/iEikcNQ6iefPjJFsYmGv0MTnXBEYh6bxotpdXS1awz6keU2posJRmfHnOF6NfA7Fo1w7jVz9k17oY8jKLaPeoJ00fdrsxdbWUkvBD+9izYhEGg4GHR47Bt3M3NbW1oih/So0aKi8pYfPLcO47GLgAWjwFwHdh3/HZic/o696TlzcWkbNrN0nDPiEk3goz8wMUJl2kt9fzJJRmE2hygQbeZ9DYxzHXeDqXU62xCc4koDSIr03mcVVnxCvuHsQXZzAzqyduS7ajdbDH8fM5HD4J0UGp1G/hSJenvTEx//+touzUZH5b8CWxocF4tg6g+5hxmFtZ/9WRKIrygCrXk8VCiAlCCCtRZpkQ4owQokfFl/kfJgT0mwP1H4Ytr0DEdgCGNxrOxJYT2Rq7g6WPW2HVpze11k6lqXMaBfmdMKvVhK0XF+GoNaNPQUuuXGxDbmwDJusn0NrhMml+dpyyaEGPnPexl1Z8HxlEG3NXXq2xld2Tu4CExFFP087xIu0e9eTK+VR++OQkSVeyb5Rm5VCTwe9+wkNPPceVsydZ9cY4rpy9x0GpKEq1dje3hs5LKZsJIXoCY4F3gNVSypZ3fGMlqZIrgt8V5ZatYZAcCk9vKutEBhaeW8jX57/msfqDGL2lmOwtW0gf+g5nE2thUeMsWXGH6NZgJEJvxi7rC+iswvDyPsJPRqPYVNQF54gcSuKS2eC4DM+cY8zz6cSKgiu0MfXhrW06So6fwmbw48inJrD724vkZRbR9pH6NO/qfmNUEUBKzBW2fTWL1NgYmvXoS6en1DBTRVHKlLePIEhK2VQIMRfYJ6XcKIQ4K6VsURnF/p0qDQKAvFRY0RPyUuDZ7eDki5SSBecWsDhoMY/VH8SY7ZKsn34ia/CbnE6tg7llKBlXd/CQ1xNYl9Rij20oeUbhNG9xhP2ah1hhGIFddAG5F9OZ57CJfrkb2OXRkneM8zDTmDI3KgDdmi2Y+vri8NlsDu3J5vK5FOo0safriEaYWepulFdSXMyhdas4vXUTti5u9FXDTBVFofxB8A3gCtQFmgFaygLh/h8++lcyr8Ly63fHRu0Em9q3hMGj9R9h7G4Nmet+IPexiZzMaIC5xWUyrm2hlXsvaotG7Le9SIKMwK/1UUI1LnylmYImQU9pcDrPWR5ncskioq0cmOjqytX8ZKYZ+uG9YCcIgfP06b7wIioAACAASURBVMRoG3BoQyRmljp6jPLFxcvmlhJjgs/x28KyYaYBjw3Df9BgNFo1zFRRHlTlDQIN0By4LKXMvP6AmauUMqjiS/17/4kgAEgKhW96gYVj2QNnFg63hoHnI7y435SMVavJf+QlTuY0xsQ0nuzkjTSw98PXtB0nra8QVhKOn98pUnRFzDH+nNRULZZBGTSWl/nWfC6l+kze8e3A7qwIBlt0ZPh3CRSHhWP//Ch47Hl2fhNGdkoB/v3r0rKXB5qbbhUV5uaye3nZwjfOng3p9fJr2Lm4VuFJUxSlqqhRQ5Ul5iisHgQ1fWDEL2BieVsYvHTUivRly9EPeI7jxf4ITTKFmT/jbOaBv20fQsziOV5ygeYtgpGW0czXzeBCth1uIdnI9CS2OC3DJfMUKxr3YF7+RRqYe/DJGU9Kf96GmV8rHD+dyZHd6Vw8kYSbty3dnvW5MVfR78IP72fP8q8p0evp+ORIWvTsi9DczcSziqLcL1QQVKaI7WXLXdZ9CJ78AYxMbguDl884krZgIaU9hnDCpBslxWkYijZhUWJJZ9cniNYks09cwLNBBLY1T7FK9y57C3zwuJRHakw6y5w30znjJ455+PGmSRF6WcoXxY9gO+8HNGZmuMycQSweHFh7EWNTLd2f9cXdx+6WMnPT09i5eB5Xzp2mduOm9HxxIlYONavopCmKcq/dKQi0H3zwwT0up3yWLFnywZgxY6q6jP9z8AJrNzi2oGx+okYDEBotrWu1xiANrAlbQ27jOnRp2IeCVUtxq1VCsrUf+tL6SF0ElxJP0Mq+Ay56O87mQklxDbpYrcbSxIIDtr7UNDNh7eW6lNrUYXDaVnrrNRxzcGNF8X5c+zxCvQvpZHz7LQ51rPAd1Yuroemc2xOLocSAi5fNjVFFOjNzvDt0xtLOnguBuzm/azsWNrY41qmrHkJTlAfAtGnTEj744IMlf9Z2xysCIYQWCJFSeldWcf/Uf+6K4HdHF8KOKdDsybKHzjSaW64MHvF8hAlxviR/MA3h14Ez9Z4lKyULM/Od5MZfo6/PWPLyi9htE4owiaJJ08Oc07RgPq9gkqaHc+m0Mo5muelcKEpnerMe/JR+jk72bXk90JKCrb9h0aEDjp98xrFdKYQeise5vjXdR/lSw+7WIaRZyYn8tnAOcWEXqO/Xhu6jx6m1DhTlPlfezuLNwHgp5dXKKO6f+s8GAfx/Kgr/MdB7BghxSxj0r9efN7ICSJz8NhrvpgS1GE9ybBbWdgdJuxxC7yZj0eQYsdcxgnR9FK39T3BN6JhrPJ3ULA2OwVloc1LY4rQMp/STbGjal0/zwqlp5siX2X0Qc1agtbPD9csviCtxZt+aCDRGgq7PNKJuM8dbSpUGA6e3bebQulXoTM3oNvplGrRpX0UnTlGUylbeIDgAtABOAHm/b5dSDqjIIu/WfzoIpIRd78KRr6DDa9Dt/RtNi88vZv65+fT06Mk7ht4kTpyEqF2X8IcmE3spB3unkyREHKFbk2exyrXjiOMVovIj8W9zjgKjeBabzuJsrh2eF3NJjMtglfuvtEtZT7CHP6+al5JZnM3HDs/hOXsT+oQEar4+CW3vwexcHkrK1RyadHGj3aP1MTK+dQhpWtxVti/4gqTLl2jUsQsPj3wBU0vLe33mFEWpZOUNgk5/tl1Kub8CavvH/tNBAGVhsPU1OLUCur4HHSfdaFp5YSWzT8+mi3sXPjIbSuLLryDsHIjq/xFRoTk4uoYSF7KDAO9HcC/y4rx9PKfyQmnWPBJzq9OsN32HrYVN8IwtJC4snUlOZxiXN58MCwfe9GzM8fRQnnDtz1MbM8nfE0iN7t2p+eFHHN+VRNDeOOxdLenxvC92zha3lFxaUsLxjes59vM6LGxs6Tl2Ah7NquTBcUVRKkm5Rw0JIZyA39dIPCGlTK7A+v6R/3wQABgMZVNXB6+HPrPAf/SNpu/Dvmf6iel0cO3AZ/ajSBo7DkxMiR02g/DzudR0jyX2wk/41O5IY6MALlumsl8fjEe9q7i47Ge/7kmW6wdRK01PzrlU2pvHsVj3JZrCNBb6DWJp0hEa2Xoz/Vo7iheswNjZGbe5c0gsrcneVWHoC0vpMMQLnw4ut3USJ0ZFsn3BF6Rfi6VZ9z50euo5jE3VFBWKcj8o7xXBEGAmsA8QQEfgDSnlhgqu865UiyAAKNXD+hEQsbVsHYPmT95o2nBxAx8e/RB/Z39mub1C8gsvI/UlpI6ew7mTeTi4ppIUuR5nm/oE2A0gSZPFbuMgaljH08hnP6GiKfPEa5BtwOJ8OiaF6fzitByH1OMcaDaIKYWXkFLyue2z1PrsO0rT06k5+S10fR9j77dhxIZlUK+FI12e8sbUwviWsvXFRRxet5rT2zZjU7MWvV56FVdvn3t99hRFqWDlDYLzQPffrwKEEI7A7gdmYZry0BfC2qFlK50NXgk+A280bYnawruH36W5Y3PmNnyb1NEvU5qZSd6EuRw7WoR1zVyy4tdjhjndPUaQVZDHbptQimUcfq2PkSC1fKWbSWyulnrhuVxLyGJt3d/wT/iOa24tmeRoS0hmJGNqD2PA2mjyDxykRo8e1PrwQ4JPZHFscxTmVjq6P+eDi9ftI4biQi+wfeGXZKcm49fvEdoPeQojne62/RRFqR7KGwTBUsomN73WAOdv3nYvVasgACjOg9WPwLUzMHQNNOx1o+m3K78x+eBkfB18md/4A9LHTkR/7Rqlr3/BwRMazCwLKcnbSFFGFn2bvIQ+vYT9tSJJyI0moF0w+cSw3OwLjuU74BNTyOWL6UxyC2Nc1hfojc2Y0bwnPyQcpKVDCz6M9SN//lKMnZxw/fILcqw92LkshOzUAlr19qB1Xw802lufNi4uyGff6uUE79mBnas7vV96lVqeDe71GVQUpQKUNwhmAk2Btdc3DQWCpJRvVWiVd6naBQFAYRasGgRJF2DYWvDsdqNpT8weXj/wOl42Xizym0HWK29SGBqK9rVPORBigxBF6Ix3kBodST+/cehSdRxzjiE88xKt/aMwNjnBZrOpbChsjmeqnsRzKbSpkcoK03mYZEXxq/9wPkw/jrmRBbMcxmDzyXL0KSnUnPQalkOHc+iHSMKPJVKrnjXdR/lgZW92W/nR506zY8lX5KWn03rgYwQ8/iRGxsa37acoyn9XRXQWPwp0uP7yoJRyYwXW949UyyAAKMgoW8sgNbJsKop6nW80HYg7wKuBr1LbqjZLOsyl4I1p5B05gsm4KRy8Vp/C/EJs7Q8TG3KCbq2ewy7dgZBaSRzLvICPbxL29ns4ZTqEhcWDsc4txehcOqIohy3u63CN30FUg268alpETG4sE71G021NOLl79mDZpQsu0z8l6mIh+76PQAhB5+EN8fJzuq38ovw89q1axoXAXTi416HXS6+q6a0VpRqpiCCoBbQBDMBJKWVixZZ496ptEADkpZWFQfpleGoDeHS40XQ0/igTAifgaObIks4L4ON5ZG/bjukzL3CsJICMxDyc617g8qmdtGkyCI/8hsTYZhJYeB4n51Q8PQOJ0XgyV/MOGfmSehG5XL6WzWLP4/S4toACOw8+aNia7QlHeMi1I29fbU72l/MxcnDAdfZs9O7e7FoRQtKVbBq1d6bjkAYYm9w+bfXlsyfZtfgr8rIyafPIENo+OhStkbo6UJT/uvLeGnoeeA/YS9mooU7Ah1LKFRVd6N2o1kEAkJsCK/tCVhw8/TPUbnuj6VzyOV7a8xLmRuYs6boI8/nfk/H9WswGPM7ZmoOIv5SFe8NYIo9vwKdeB5oYdSBdl8dOXRBCm4xf6+Okl+az1GwOZ/LMaRFfTFhIKiNdrvFu0Uw0xbmsC3iaGdd24WTuxGynFzGZtgB9fDyOEydgM/JZTm2N4fSOGGxqmtNjlC+OtWvcdgiFubkEfruE0AN7caztQa+XX6OmR717eRYVRfmHyhsEEUA7KWXa9df2wBEpZcMKr/QuVPsgAMhJLAuDnCR4ZhO4/f//TXh6OC/segGARd0W4bB2L6nz52PWuSthzUZz+Xwa7t4ZXD71Hc4O9eng+Ch5hfnsdYggJTuO9h1C0ctQNlpMZ1N+fXyzDFw7nUR901x+sFuMZdJJglsOY1JxFKkFaUzxmUDA6rPk/LYDi44dcfn8MxJTBLtXhFCQpydgUH2aPXzrkpi/izp9nF1L5lOQk02bR4bS5pEhaI2M7tlpVBTl7pU3CI4AnaWUxddf6yhboazdXXxxL2AuZauaLZNSfvYX+z0GbABaSynv+Ff+vggCgOx4+KYP5KfDiM3g8v+VP69kXWH0ztHk6/NZ2G0htXeHkvTRx5i2bMXVXm9x4XAyLp4FxIetwVRjTk/v5ylJLeKo+1Uiki/h3+YaJib7OG4+mkWFvXAolBifTScnN5+NXr/RMHoNme7+THF151DSSfrW7cOrsb5kfD4brY0NLrNmovVpwd7VYVw5n0ptXzsefqbRbescABTk5hD4zWLCDu2jpkd9er00Ecc6de/lmVQU5S78qyAQQrx2/dfmQBNgMyCBgZSNGhr5N1+qBS4C3YE44CQwTEoZ+of9agBbAR0w7oEJAoDMWFjZBwqzYeSvUOv/I3Ljc+MZvXM0KQUpzO0yF9/zmVx78y10deuSPuJTTuxKwrF2CdmJP5Kfnkl///EYxcOF2ikcTw6moXcmTk47iDb2Zw6vklMoaRiZT3hMJtMbRPBEwiykzoJl/kNYEPMrda3qMst1HOLd2RRfvYrDuJexHzOGkEOJHP7pEjpTLQ8/3QiPpg5/eiiRJ46we9lCCnNzCXh8GP4DH1dLYyrKf8i/DYL3/7ThOinltL/50gDgAyllz+uvp1x/3/Q/7DcH2AW8Abz+QAUBQEY0fNMXSgpgxK/g9P+neFMLUhmzawzRWdHM6jSLNnGmxI4bj5GdHUUTv+TAthSsHAWUbCXxUhi9O7yE1bUaXK2Vw97cM9g75ODjs480g46vTWcTnG9MQHIpZ88l0d85iy+ZhVFmNMfaj+GttCMUlBTybtM3aLnqJNm//IJ5QFtcZ8wgW2/OzhUhpMXl0vghV9o97omx7vY/8vnZWez9ZjERRw7gVM+TXi9OxKG2x707l4qi/KUqWaFMCPE40EtK+fz1108DbaSU427apyUwVUr5mBBiH38RBEKIMcAYgNq1a7eKiYmplJqrTFpUWZ+BoaRsycuajW40ZRVl8eLuFwlNC+XjDh/TNa8OsWNeAI0GzTtfsfe3bHRmYG17hMtnDtPObzDuWfXJsCxkp/YcpTKDtgFnyNdfZkONufyaW4vm+XD1eCKOxkVsdP0Ou6s7SG7Uh7dqGHMq5SyD6g9kfLwv6Z/OQGNhgcvnn2PWJoBjm6M4tzsW21rmdH/uzzuSAS4eO8TuZQspLsgnYPBwWvd/VF0dKEoVu1MQ/O3CtUIIRyHETCHENiHE3t9/KqAoDfAFMOnv9pVSLpFS+kkp/RwdHf9u9+rHvn5ZAAgtrOwHyWE3mqxNrFnaYymtnFrx9sG3+UUXRp3v1iBMdJS+M5pePYxAakmJD8Cn0yCOnPqRYO0R7IotGJDnh7WZG4F7/TARbXgi52XGWRzmggXU6OhMqYkV/pdGcNJrIo7hv7E0KoQx9R9lc9QWXjBZj3bFbIzsbIl9/nlS58ym3YA6DJjQnOKCEjZ8foozO2OQhtv/IdGgbQdGzl5IvVb+HFr7LWvfe4O0uNh7eUYVRfkH7mYF8++AcKAuMA2Ipux+/9+5Brjf9Nrt+rbf1QAaA/uEENFAW2CLEOJPE+u+5+BV1k+gMSoLg6T/d6VYGFuwsNtCOrl14qNjH7EmLxCPtWsxdnEhb/KL9GiVRQ17M6Iv1Kdpj2cJjzzCgYwNWFiY0TPBh4a1GrB/f10K8/sRkDuHaSbLyDWFhFa2+NazY3CwPwvcZqMtzGb8vsUsqvcE6YXpDA+bzIXpz2AzdCjpy1cQPfwpnCxyeeLdNng0deDoz1FsnnuO3IzC2w7H3NqG/q9Ooe+EN8lMSmT15Fc4ueUnDIbSe3lWFUW5C3czaui0lLKVECJIStn0+raTUsrWf/M+I8o6i7tSFgAngSellCF/sf8+HsQ+gj9KvQTf9oPS4rKrBCffG016g56ph6ay/cp2nm/yPC/XH8m1cePJP3kSm9fe4kR+M+LCM/BqXcLFwyvQGZnSp8lY5LViQuulczT+HF5exbi6bSNdODFfN53QfMFD6ZKTpxNo61jCihqLMLt2hOTmQ5lsUszJ5NMMrD+QCdltSP/gYygtpda0aVj17UPYkQQOro9EqxV0Hu6NZ6uaf3pIeZkZ7F62gEsnj+Hs1ZCeYydi7+b+p/sqilI5ynVrCNBf/2+CEKKvEKIFYPd3b5JSlgDjgB1AGLBeShkihPhQCFElq5tVCw6eMHIraE3KnkJOvHCjyVhjzPQO0xncYDDLgpfxaehcXJYsokavXmR+8Tn++Ttp2NaJyJNG1G01Fo2pET8dn4G+LvhetqdXzQCioy24cGEAjppi3ix4hv5WmRyw1+D9kBuhOWYEXBvPZe+x1Dz3A0tjIhnrNZQtUVsYXbwczcovMWnYkPjXXydh6jt4N7dm6Nutsa5pzo6lF9jzbSjFhSW3HZKFjS0DJk2lz/jXyUiIZ/XkVzi+6UcMperqQFH+C+7miqAfcJCy2zxfAVaUjQb6pfLLu919f0Xwu7SosltEJYVlVwa1Gt9oklLy1dmvWBq8lO51ujO9/adkzPyCjFWrsezVi/guL3Nq+1Wc6+sozNpMQmQYPbuMxeaqNZn2JeyQZ9CXZNOhYziFRac4ZT2FBTl+OJUKbC5kcSkhh5nNEnn86kcIQylHO7/K5KubydfnM7X1ZNr9FkfaosXoPDxw/WI2xg0acmprNKe3R1PD3pTuz/lSq571nx5WXmYGe5Z/TeSJIzjV86TnixNxVCOLFKXSVfioISHERCnlnHJX9i88MEEAZWHwbX/QF8CILbc8ZwCwKmQVM0/NpI1zG+Z0nkPR6vUkz5yJub8/eSPfZ/+GGKxr6rCwPMilk4do0+ZR6mZ5U2CkJ9AunGsp8XR8KAPYyjWLfszSjyK72EDbhBKOBScxoE4Js8UcjBPPkNL6OSZrMzmRdIoB9QcwSfQgbcp7lGZkUPONN7B9+ikSorLYvSKU3MwiWvf1oFWvOrdNbf27iKOH2LPia4ry8mj76FD8Bw1WTyUrSiWqjCC4KqWsXe7K/oUHKgigbIK6lf3+Mgy2RG3hvcPv4W3nzcJuC9HuOkz821MxqVsXMfkLdq+Pw0inwa1BJEG7fqahTztamnRFn1vMqXrXCL4aTtOmJdjabSZH68wSk885lSd4OF/D6aPXcDCDjZ7bqRn2LaVurVncuBuLIr6nrnVdZjZ7D7PPl5G7bx+WnTvjPP1TSk1rcGBtBBdPJJVNbf2cD1YOt09tDWXPHQSuXEL44f041qlLzxcn4lS3/r04q4rywKmMIIiVUlZJb98DFwRwPQz6gz4PntkCzk1vad4fu59J+yfhbOHMku5LsAq6Qtz4V9BYWWH56Xx2bsmgKL8E7zaZnP71Gxyd6vBw3acojS8gqlEe+6NP4OIi8G60lwJ9Ctts5rEu056mBi35p1NIzCxkqV8sncM/QmiNOfbwG0y+vJ48fR5v+0/hoWO5pMychdbWFpcZM7Bo24aLJxLZ/30EEuj0RAMatKl12xrJv7t08hi7ly0gPzsL/4GDafvYE2q9A0WpYOqK4H6QfuX6lUEePLMZnG9dKfRM0hnG7RmHmbEZS7ovwTWhmKtjxiCLirGbNZ89ByTp8Xk06QRBOxaj1RrTr+14iCwitW4JOzJOoNEW0r59OAWFJwixeYMvcgKwkoIGl/I5dSmN57xLeCfvMzQpYaS2H8dkQwLHE0/Qv15/3rR+nLQ3p1IcE4P92BdwfPllcjL17F4ZSsKlLLz8atLpyYaYmP/5H/iC3Bz2fbuU0AN7sXerTc8XJ+DsWSXzGirKfenfTjGRQ9ncQrc1AWZSyiq5ofvABgGUhcG3/aEop+w20R/CICI9grG7x6I36FnYdSHeRXbEPj+6bJrp6TM5ElWTq6HpNGpvyuWT35CblkK/nhMxDdNS4AC7dEGkpCfTuUsOJSWbSbXoxazSsSQWldIzW8PeY7E0cjBmresGrMJ/oLTuQyzx6cTXoavwsPZgVuuPsZy/jqyNGzFr0QLXWTPROrtwZkcMJ3+5grmNjm4jfXBtcPsayb+7fPYku5bMJy8jg1b9BtFuyHCMdbdPdqcoyj9TJVNMVJYHOgigbG6ilf3KwuDpjeDa8pbm2JxYxuwcQ1phGnM6z8HfvBFxY1+kICgIx6nvECxbEHo4gXotLMlK+JlrYRfo1HUEzvGulGhKOewWw8Wrl2jVSoNljR8p0Dqywnw2h7IFXaWOsMPXKNKX8p3fJZoHfQSmNhzv9hZvRawiT5/HlDZTeDjcmKQPpoFWi/NHH2HVswdJV7LZtSKErNQCWnSvTZv+9dAa/3lHclF+HvtXLyd4705sXdzoOXYCrg0b/em+iqLcHRUE95uM6LIrg4JMeOoncPe/pTm1IJWxu8YSlRXF9A7T6VGrE9dem0RuYCB2o8cQ22gQx7dcwbm+JaZmRwg7uJvGrbrSVHSgJLOQcN8sDl88RR0PY7y8dlFYnESg3TyWpzviozXGPCiDC3FZTG5RygtJHyAyoknt9DqTiy5zPPE4/er1Y7LrSNLfepfC4GBshgzBacpkSoQxh3+6ROjBeOzdLOn+rA/2rpZ/eZjRQWfZteQrslNTaNl7AB2eeBpjE9NKPrmKcn9SQXA/yoyFVQMgNxmeXA8e7W9pzi7OZvye8ZxNPsvbbd5mqOfjJE77kMwff8R64AByBo5n7/eRWNqa4OETx4nNq3HxaEgXjycpic4j0beEnbFHMTOTtA0IIT//OJftXuXz7IcwBjomlbLzdDwd3XUstV2F6cUtlHr1YmnDAL4O/YbaNWozs910bFdtJ335Cky8PHGZPRvTBg24EpRK4OowigtKaTuo3l8ufANQXJDPge+/5fzOrdg4OdNj7Cu4+zT5030VRflrKgjuV9kJZWGQFQfD1kK9zrc0F5YU8sb+N9gXt4+Xmr3EC01fIH3xYlLmzsO8bVu0r33MjlWXkVLSrHMpRzcsxMTMnH4dXkFeyCe3jmBH0Smyc/7H3n2GR1WtbRz/z0zqpPdOEkglBAg9BEJIoYM0C6IoKB1RUSmCVEGaUgQCgiBVKdJbIKG3QChJID2Q3nufzGT2+2E8ntdD9Zzjse3fN65ZmYvZG+bJXutZ96okOKSGhoaDVBuGsFI9lYf1KoaqdYm6kImBjpT97e7jensJGNtxK2Qm0xO3UN1YzfSO0+lXbE/ejJmoa2qwmTUT01dfpb5ayfldSWTEleDgaUbIW94YmT/9t/3sB3FEbFpLZWEBbXr1J/D1t9DRl/+211ck+gsRC8FfWU0R7HhJs/nstd3gHvaLl1VqFfOuzeNo+lFGeI1gZqeZVB89Rt7sOei6umDyxdec3l9AVUk9Hfoacu90OHWVlQzo/wG68RJUplIumiXzKCeTLv466Op+j1Jmzm7D1URUSOiprUfBjQIyS2tZ6a9kSPpsJDVFlIbMYXZtAlfzrhHmHMYcjynUfLaE2qtXMQwNwW7RImSmpj/nFUmlEnqM8MCjk+1TP6qyoYEre3dy59RRjC2t6DVuKs6t2/7GF1gk+msQC8FfXW0p7BwMxUnw8nbw6veLl9WCmq9ivmJ7wnb6uvRlcbfFNN6M0ew10NfHem045y8oyE2uoHWwBdlxO8lPTaJn3zHYZtvT1KQi1rOEmOR7uHsY4Ox8AkVjATct1/B1iQ3NtXVonl7LpcQihnjqsVxrA9rpkah9hrLdvRNr477BWm7Nsm5f4HTiHkWrV6NlZob9sqUY+PtTWVxH5LZECh5q2kwDR3iiZ/D0fQS5SQlEbFxDeX4uvsG96PHmO+jKDX7rqywS/amJheDvoL4cdg2D/FgY9i34DP7Fy4IgsPX+VlbfWU1X+658FfQVske5ZI+fgLqyEtuvVnE7y4rEa/m0aGdOU0MkSVcv4Ns5TLOIXFRHtp+KyOQrmJhq07lzPDU1N8i3mMriqmAa1WoG12tz5FIGTqa67G0VjfWtFWDmQlzYHKYnbKagtoApflN4XdKF/E+m05iRgcU7Y7CaOhVBpsWdiCxuHX+EvrEOIW954+T99GxDZaOC6/v3EHPsEAbm5vQaOwVXv79ngrlI9CLEQvB30VAFu1+GnJswZBO0fuWxIYdSD7Hg+gI8zT1ZH7Iekyo12RMmoEhJwWbePDJMOnH9UDo2rsbYOqcQfWgPDi1a0rPF6yhTq6lqKeNk0TUUinpCQmuprd2PwrAHayUfca9GyRBtfW5fzKayXkl4dwXB92dBXSnVYfNY0PCIiMwIuth1YUmHuahWb6Fi3z70fHywX7kCXVdXijKriNyWQHlBHa2DHfEf3AKtJxyL+Q/5aclEhK+hNCeLloHB9HxrHHqGT+9EEon+rsRC8HeiqIHvX4OMK/DSOvB747Ehl3Iu8dGFj7CSW7EpdBP2UnNyP/iA2itXsJgwnqruI4j8LhEDEx18ujVwefd69I2MGdjzfZpuV6N01CZSO47c/DwCAw2QSneglplw3HQNe0pktNfVRT++gphHZbzVxpC5qrXI0iMRWg7moE8YS++uQa4tZ0m3Jfgm1FEw5zPUjY3Yzv4Uk2HDUCnVXD+UTvz5HMzsDAgb3fKpx2ICqJRKbvz4AzeP7EdubELou5Nx69jlt7zKItGfjlgI/m4a62DvSEg/BwNWQYcxjw2JLY5lStQUpBIpG0I30NLYg4KFC6nYfwDjQQORjZ3Byc2JNCnVdB5oyPX9a1DU1jJgyDR0bgsIBlJuOucQn/KAli1NcXA8ikKR9WGf3gAAIABJREFUS5rNMr4obo6hTEJYGRy6noWXtQG7WkZjcWMZmDYjre8iPkncSlpFGqNbjWai/SsUzZxDXXQ0Rr17Y7dwATITE7ISSjm3PZH6GiWdBrri18sZ6VPaTAEKH6UTEb6a4sxHeAX0oOfb45AbPzkOWyT6uxELwd+RsgH2jYLUCOizFLpMfGzIo8pHTDg7gXJFOauDVuNv70/ppk0Ur16DvHNnTBau4NT2h1QU1NF5kA0JFzdT+CiN4EHvYpNhi7peyaN2Cs7FXcHKypCOne5TVXWJOotRfFE/nMwGJa9rGRB57hGNKjXf9FQRcHc61BZTHzqf5UIJB1IP0NqyNUsDlqC//wzFa9aiZWmJ/fJlGHTqREOtkgu7k0m/U4RdCxNC3m6JidWT00wBmlRKbh4+wI2De9E1MCBkzEQ8ugQ8NfBOJPq7EAvB35WqEQ6MhqTjELoAun3w2JCiuiImRU4ivSKdhQELGdhiIJVHj2raS12csVm7gXPHS8l6UEbrYFsqco6QEn2VNt364CsJQJlTQ0VHbU6kXUStbiI0TEVV1Q6kcl++0/uciHIlIXI5NTHFxGZXMKGjKZ/Ur0aWdga8BxHhN5T5McsBmN91PoHV9uR9/AmNWVlYjBuH1ZTJoKVFys1CLv2QgqAW6PaKO95d7Z755V6clUFE+GoKH6bh1tGfkHcmYmj23IP1RKK/LLEQ/J01KeHQeLj/I/ScDT2mPzakurGaD85/wM2Cm3zU/iPe8nmLuuhoTXupnh4O4eHcitPi/qVcXNtaYGQSx83De3Hyak2Q+wga71eg9NInoj6GgsICevSwRCrbhiA0EWO9gVWFcprp6OBfqOJgdDZtHYz4zvsWpteWgLEDOQNWMD15O/El8Qz3GM7HPlOoXPYVlT8eRK91axxWLEfH2ZnqsgaivksgN6UC1zaW9HzDC30jnad+dHVTEzHHD3Ft/260dHQIevNdfIJCxacD0d+SWAj+7tRNcGQyxH4P3aZByFz4ly/DxqZGPr3yKREZEbzZ8k0+7vAxyrR0ssaNp6myEodVX/FQ1ZwrB1KxbmaEe4dKLmxfj6G5BQNC30d1vQKJtS437DKJT3qAt7c1zi6nqK1NoMJ2NgvKO1GtUvOWTJ8fzz5EKpWwJVigY8xHUF2AMmw+X2s3su3BNtxM3VgRuALr6DTy584DlQqbzz7DZPBLIMC9qGxuHElHV65N8JteuPhaPvPjl+XlcmbTWnKTHuDc2o+wsVMwsbb5La+4SPSHIxYCEajVcOJDuP0ddBqvWTeQ/jL9Uy2oWX5rObsTd9PXpS+fd/scSUkF2RMnoEhOwXbeXCq8gjnz7QP05Fp0Hijn/HdfompU0P/lj9C9JYBE4FF7BVG3L2FhYUzXgAzKy4+DaR/WCFO4WaVguJERD6/lkZBXxfsBFrxfvRppyinwGsDVzqP49OYS6pR1zOg0g0EG/uTPmEldTAzG/fpiO38+MmNjSnNrOLs1gdLcGny62xMw3B1t3ae3mQpqNbFnT3Fpz3cgCHQb8RZ+vfsjkT45AVUk+qsRC4FIQxDgzBy4vg7avgGD1oJU9i9DBLY92Maq26vobNuZ1T1Xo98oIffDD6m9fBmL8eNh6GhOboinUdFE95ftiDm2nqKMhwQNHoNDXjNUJXVU+etzPPEcKpWSXr30qar+BpmOPWfMVvNtoZq2Bnp4ZjZw5HYunZzN+NbrJkaXPwcjO0oGrWZW+g/cyL9Bb5fezO00h8bteyn++mu0bKxxWLECefv2NCnVRB99yN3ILEws9Qkd0xJb12d3CVUVF3F28zoyYu9g79mS3hOmYm7v+FtedZHoD0EsBKJ/EgS4sBQuLgWfITDkG9B6fJ79aPpR5l2dh5uZGxtCNmCpbUrBwkVU7N+Pcb9+GM2Yx6ktSZTm1OA/xIWchP2kXL+MT0AI7U3CUCSW0+RrQERNDHn5eXQPdERXZytKVQU5dqtYUGiHjlTCm4I+O8+moa8t49tQKW2jP4CqPNQh89lqpMe6e+uxNbBleeBy3PMEcj/+BGVuLpYTxmM5aRISLS1yU8qJ/C6B2opGOvR1pn0/F2Syp/+mLwgCCZfOcWH7ZpSNCvyHjaDDwKHItH6Xs5ZEov8JsRCIHnfta83TgXtveGU7aD/eknkl9wrTLkzDXM+cjaEbcTZ2pnTLFoq//Ap9Pz9svlrDuUP5ZMSV4BNoj67uPa7t24VtCw96+4+j4WoxEgd9btpmEfsgDk9PO9zcz1NVdQu1zQQW1w4guVbBu6Ym3DifRVpxDTN62DK+/EskySfAsx/3AiYy/ebnFNcVM7XdVN50GU7R50uoPHwY/bZtsV+5Ah1HRxT1Ki7/kEJydAHWzkaEjm6Jme2z84dqK8o5t3UjKdFXsXZpQa8JU7FxbfFbXXGR6HclFgLRk8VshePTwKUbjPgBdB+PZrhfcp/JUZMRBIF1IetobdWaqtMR5M2YgZa1NQ7hG7kbp+bumSwcvcxwb19L5ObV6MrlDBz+McKlGtCWkNVJxdno85iaGtOjRyklpXvQNerETr15HClpoKeJIebJVZyIzae7mwUbPWIwuDAfjGypfOlr5mceJTIrkgD7ABZ3W4zWuRsUzJsPgoDt/HmYDBwIQNrtIi7sSaKpUU3AcDd8Ah2e2yWUGn2NyG83UF9dRaeXhtNl6Gto6Ty9G0kk+jMSC4Ho6WL3wuGJmiMvR+4H/cfPE86qymL82fGUNpSyssdKAh0Dqb93j+zJUxBUKhzXriWryYkLu5MwttTH/yUTorauoLainL4j38fkvgGqCgW13Q04dj8KhUJBnz6WVNesQyqVE2+7nqW52tjoaPGqSpfNZ1Ixl+uwtZeMllemQlUuQvBn7LOwZXnMCox1jVnSbQnt1c3Imz6d+jt3MB44ENu5nyEzMqK2QsG5HYlkJZTRzMeC4FFeGJg8+9zj+ppqLu74lgcXIzG3d6SXeDym6C9GLASiZ0s8BvtHg7UXvHEIDK0eG1JSX8KkyEmklKcw138uQ92H0piTQ/b4CTRmZWG3cCF1vkGc2hiPoBYIGtmM28c2kpN4ny79X8FD6YcitQKhvQkRFdHk5ObSrVtz5AY7aGjIosFxEXOKW1GqVPGeiRnHzqaTU17P3BAHRpWsRJJ4FNx7k9zzEz65uYiMygze9X2XCa3GUrl5KyUbwtG2tcV+5Qrkfn4IgkD8hVyuH0xDpiOlxwhP3Ds8v2U0495tzmxeR3VpCX59BtDttVHo6D19J7NI9GchFgLR86VFwg9vgKkTjDoCxvaPDalV1jLtwjSu5V1jYpuJTGwzEXV1NTnvv0/d9RtYTJyA7utjORkeT0VBHQEvN6cw7Rhxkadp3q4TgV6vUX+9EJmzAbdss7kTexc3Nwd8fG5RVh6FruUw1ja9y6WKOoaZm9AYV8rZB4WEeVuz1u02+uc+AwMr6oaEszQvikNph2hj1YZlgcswSyki75NPUBYUYDl5EpbjxyORySgvqCXyu0SKMqpw72hD4GsezzzrADTHY17+fgf3Io5jbGVD2LgpuLT2+62uvEj0PyEWAtGLybwGu18BubmmGJi7PjZEqVay8PpCDqcdZrDbYOb6z0WrCfIXLKDywI8Y9+uHxbyFRO5MI/N+Kb49HTA0TuHCjs2Y2zvSf9AHKM4WIzPQJqujkjPXz2FkZEhIqIqiom/Qk7tz3uxL1uUp8DHQo1+tjPCzqdiZ6rG1lw7uF6dARRYEz+GUvScLoz8HYJ7/PMIsAyhYuIiqY8fQb98eh+XL0HZwQN2k5k5EJreOZ6BvpE3wW940a2nx3MuRk/SAM5u+pjwvh1Y9w+jxxjtixLXoT0ssBKIXl3tbc8CNlp6mGFh5PjZEEATCY8MJjw0nwD6AL4O+RK4l/0VHkf3XX3PzfBmxUdk08zHHu2sTEetXgETCwFHT0b6upKlGSUOwEUfunqW+vp6+fV2orVuNWq2k1Gktn+aaIyDwgbEZu06mUFLTyMI+TrxasBLJg0PgFkpOr/nMiFlKXHEcg90GM6vTLJSnIilYsBCkUmznzcNkQH8AirOqObstgfL8Wlr1cKDrULdnbkIDUDU2cv3AHm4dO4jc2ISQdyfh3tH/N7n0ItFvSSwEol+nMEFzDrLQBG8eArs2Txx2MPUgC68vxN3MnfUh67GWW/+io8hp0ybScnW49H0KJtb6dH/FmsgtKyjPzyXk9QnY5TnQ+KgKSRdzIkqjycrOwt/fA1OzvdTU3EfHYRqLqkKJq6lntJUZebcKuZhcTP9WtqxscRv9yDkgN0c5eCPhlXFsid+Cs7EzywKX4VZnRN4n06m/d+8XC8kqZRM3jjwkNipbswltdEtsmz8/qrrwYRoRG9dQnPkIjy7dCB49HgPTxxfWRaI/KrEQiH690nTYPggU1fDGAXDq9MRh/9hrYKprSnhoOC1MW1AfG0v2pMk/dxSVm7pzelM8EomE0LdbcOfkZh7euUWb0L60swyjLroQLTdjbltlcevubVxdnfBrl0hx8SEMzYI4oDeLnQU1dDKW070CNkal4Wimz7e99XC7+B6UpUPgdG569mTWldmUKcr4sN2HjPR4jbJNmykJD0fbxgb75cuQd9D8P8hNLidyewK15Qra9XGmY39XZFrPjptoUqmIOXaQ6wf2oK2nT8+3x+HdLUgMsRP9KYiFQPTvqciGHYOguhBG7IHmQU8cllCawOSoySiaFKzpuYaOth0f6yiiay9ObIijqqSewNfcKc2O5NaRAzi2bEVYz3HUReQhM9Ult5OaU5fOYGhoSK/e+hQWrkFXx5IMh3V8liVBXyplmokpW44nU1rTyII+zrxWshZJ7PfgHED5gC+ZG7+BC9kX6ObQjc8DPkeenE3uJ9NR5uZiMW4sVpMnI9HWprFexeX9qSRdy8fSyZDQt1ti4fD8NYDSnGwiNq0hPyUJ17btCR07BWPLxzutRKI/ErEQiP591YWwc7DmCeGV7eDZ94nDcmtymRQ5iezqbBZ3W0xf1740VVX9oqPI+N2JnNnygOzEctqGNcPUKpuz36zF0MycQW9OR3W2HEGhRhFmwuFbEdTV1dGnrzcKxRoUimK0nRcxu9iH1DoFU+wsSb2ex4XkYvr52vKlZxL6EZ+Ali7C4HB+EMpZeWslRjpGLOm2hM4mbShcsoTKgwfR8/XVRFu7uADw8F4xF3YnoahX0WVQC9qEOj3zJDQAtbqJe6ePc/mHHUilUgJHjqZ1SB8xxE70hyUWAtF/pq4Mdg2FgngY+g20GvbEYZWKSqaem8qdojs/n2uASvWLjiKbzxdz7Ugm8RdzcfG1wDdIm5NfL6Wxvp5+70zDKF4fZXY1su5WRBTdICMzg06dfLC1O0F5+WVMbIazlXEcLKomyMyQzmUC6yJTcTDVZ0t/EzwuTYXCePCfQkq715l+dTbplemM9hnNe37vUX/2HPnz5iE0NmLz6SxMhw9HIpFQV9XIhd1JPIotwd7dlJC3vDG2fP7+gcqiAs58s46s+Hs4tmxFr3HvYWbn8N++AyLRf+x3KwQSiaQPsAaQAVsEQVj6L69PA94FVEAxMEYQhMxnvadYCH4nDVWw51XIug4D10D7t544TNGkYPaV2URkRDDCawQzOs5AKpH+oqPIcf06EuPquLwvFTNbOUGvO3Bu65cUpKcS8PKbeAhtqbtdhI63GXessrlxMxonJ0e6BpSTl7cJA7kH922+YmGmAksdLaaZmLH+aCKlNY3M69uc1ys3I7m1GezbUT84nJXp+9mXsg8fCx+WBS7Dvk6XvJmzqLtxA8PQEOwWLULLzAxBEEi+UcDlvSkIAi90EhpouqjuXzjLxR3f0qRU0vWVkbTvPxip7NkdSSLR/9LvUggkEokMSAHCgBzgFjBCEISE/zemJxAtCEKdRCKZCAQJgvDqs95XLAS/o8Y62PemZvNZ2CIImPrEYWpBzVcxX7E9YTvBTsEsDVyKvpb+Yx1FRQ0mnN58H5mWhLB3vIg78x1JVy/i2aU73f1eo/pMFlqW+hR2kXD8/Gl0dXXp19+F4uIvEAQVEtdVfJJrS56ikU8crLl3JYfzP00VrWyVjfzUVE3a6sDVRBqZMO/aPFRqFXO6zGGAa3/KvttO8apVyExNsfviCwy7BQBQVVrPuR2J5CZX4OJrQdAbz4+oAKgpKyXy23DSY25g09yd3hPfx6qZy3/zDohE/7bfqxD4A/MFQej9059nAQiC8MVTxvsB6wRBCHjW+4qF4HematQcffng4FNPO/uH3Ym7WXZzGb5WvqwLXoeZntljHUWNzj6cWB9HdXkDPUd6UlV0jcvfb8fK2ZUBr0yj4WQ+QpNAUx9LDt88TUVFBaGhfmhpb6W6Og5zx0msbhhMRGk1/SyNaVOiZu3ZFBxM9dk8yBrPKx9Azk1o9xYF3T9kZvQCbhfepn/z/szpPAet9GxyP/6ExvR0zN8ahdW0aUh1dRHUAnHnc7h+OB1tHRlBIz1p0c76uZdHEARSblwhautGFLU1dBr8Cp2HvIKW9rN3M4tEv7XfqxAMB/oIgvDuT39+E+gsCMKUp4xfBxQIgvD5E14bB4wDaNasWfvMzGfOHol+a+omOPER3N4GHcZAv5WPHXDzD5GZkcy8PBNbA1vCQ8JxMnaiMSeX7AnjaczMwm7RQvTC+nP6m3hykyto18cZa6cyTq1biVQmY+C4GehEq1Hm1qAbZEtkeQzJycn4+nrj7R1HfsEPmJh05prZ5yzLqqKZng7TTMz56vADSmsa+ayfG2/U7UZydRVYedM0/Fs2F1wmPDYcewN7lgUuo5WRB0UrVlK+eze6Hh7Yr1iBnqcHAGX5tURuS6A4qxrPzrZ0f9UdXfnzv9Trqiq5sGMLiZfPY+HYjN4T3sfO/fHNeSLR/8ofvhBIJJI3gClAD0EQFM96X/GJ4A9CECBqAVxZpVk8HrzxiQfcANwruseUc1OQSWSsC16Hr5XvYx1F5pOncPmHVBKu5OHaxpL2fU04ueYLKgrzCXpjLM2q3am/W4SutzkJTsWcv3QBa2trwsKMyMldipaWMY0uX/NRpj4VKhVznGy4ejHr56miFe1KMTg+CRQ10G85dx1aMePyTIrripnsN5kxrcZQd+kyeZ/ORl1djfXHH2H2xhtIpFKamtTcPplBzKlMDEx0CB7ljZO3+Qtdpod3bnF2y3pqy8po128QAa++gbau3n/zTohEL+QPPTUkkUhCga/RFIGi572vWAj+YK6shsh54BYGr+wAHfkThz2qfMTEyImU1peyoscKgpyCEJRKChYupGL/Ac15xIsXc/9aCVcPpGJub0jo2825vGc9D+/colVQL7q0GkL1qQy0LPSp7KHP4ajjqNVqBgz0o7p6OQ0NOZg7z2FxZVcuV9Twio0Z7kVKVp/RTBVtGuyI9/WP4NFFaDWcyl4LWHhnFWcyz9DZrjNLui3BvF5G/uw51Fy4gEFAAHZfLEHbWjMlVJhRReS2BCoK6/Dt6Yj/kBZo6zx/QVhRV8flPduIPXsKExtbeo2bSrNWrf+rt0Ekep7fqxBooVksDgFy0SwWvy4IwoP/N8YPOIDmySH1Rd5XLAR/QLe/g2MfQLMumgNu9E2fOKykvoQpUVNILEvk006f8qrXqwiCQNnWrRSt/BK91r44rVtHXrGUiM0PkMok9Bnrw6O7J4g+tBc7Dy/6DX+fuqO5CCo1sv52HLl7hvz8fLoHdsDS8jglJWexsOrPaflHrMkqx8tAjw9NTPni4E9TRf09eEN1CMn5JWDaDGH4Vg7WPmLpTc2C9qKARQQ6BlKxdy+FS5ch1dPD7vNFGIWGAqBqbOL64XTizuVgaiMndHRLbFyMX+gyZT+I48ymr6kozKd1SB8C3xiNrvzZp6iJRP8tv2f7aD9gNZr20a2CICyWSCQLgRhBEI5KJJJIwBfI/+lHsgRBGPSs9xQLwR/Ug0Pw49ifzjQ4CIZPXlitU9Yx/dJ0LuZc5J1W7zC13VSkEinVkZHkfjIdmZkpTuHhNJg6/bwTuccIT2Syh5wOX4We3ICBE2Yiu6JAmVODfg87Livuc+/ePdzcWtC5SxVZWauRy10od1rLx49UNKoFFjnbcebco39OFXWqw+DYBKgphLCFPPTqzfTLM0guT2ak90g+bP8hZOaS9/EnNCQkYPryy9jMmolUrnniyUkqI2p7IrWVjbTv60yH55yT/A9KRQPX9u/h9vHDGJiZEfruZFq0f3J8h0j03yRuKBP9b6RFwt43wchWk1xq2uyJw1RqFUuil7A/ZT/9m/dnUddFaMu0aUhIIHviJNTV1dh/9SU6nQI4s+UBWQlltO7piEdHGUe/WkJtRRlhY6ZgV+pE3e1CdD3NyPCq5dTZCIyNjRkwwJ28/AWo1fWYNl/KnCJ3YqrqeMfBAoc8BV/+NFW0cWhzWt6aBcknwKMvioGrWJ24g12Ju/A082R54HJc5Y4Uf/01pVu+RadZM+xXrkDf1xdAc07y3hSSbxRg1UxzTrK53Yv9hp+flsyZjWspyc7EK6AHPd8eh9z4+eF3ItG/SywEov+drGjY8zJoG8Cow0+MsQZNm+W3979lzZ01dLLtxKqeqzDWMUZZWETOpEk0JCZiM2M6JiPf4PohTVqok7cZ3V9txtlvviT7QRzt+71Ee/d+VB5/hJa5Hg29TPjx7FHq6+vp168ramEjlZW3sXF4i32St/kmt4x2xnLeMzJl4Y/xlNY0Mqe/F29KI5Cc1Rx6w7AtXJKpmHNlDvWqemZ2mslQ96HU3bxF3owZqEpKsJoyGYuxY5H8tGEs/W4RF3Yno2xown9IC1r3dETynIgKgCaVkuhD+4k+tA9duZzg0ePx7BoohtiJfhNiIRD9bxXch51DQK2CN37UnIf8FMfSjzH32lxcjF1YH7Iee0N71PX15E2fQfXZs5i++iq2c2aTeLOYi3uSMbLQo+/4lsSe/YG7p47RzLctvYdOpuZgJkKjGt1Bjhy/f46MjAw6dmxHC7dYcnO/w8TYj2y7FUxPr0ZLImGpqz2Hz6b/PFW0PEDA8OhYKM+AoE8pbv8ms67NITo/ml7OvZjXdR4G9QIFCxZQdfIU+h3a47BMc/ANQF1VI+d3JZERV4KDhynBb3ljbPFiR1yWZGUQsXENBemptOjQmZB3JmJkbvlfuBEi0T+JhUD0v1eargmrqyvTLCC7dn/q0Oj8aD48/yG6WrqsC1mHj4UPglpN8eo1lH7zDXL/LjiuXk1hscDpTfE0qQR6vetDddEdIresx9DCkpcmzES4UENjVjUGPRy4KUnl+o3rODo6EhpqRkbmAqRSXYzc1vBxjjkPahp4v5k1pjn1rIxIxsFUn/DhHvjcnQ/x+8A1EPWQTWzLPMW6u+uwkluxtPtS/Kz9qDp6lIKFi0AiwXbeXEwGDgQ0TzmJ1/K5si8VJND9FQ+8/G1f6Dd8tbqJOyeOcHXfbmRaWgS+MQbf4F7i04Hov0YsBKLfR1We5smg7BG8/B149Xvq0LTyNCZFTaJCUcGKwBX0cOoBQMXhw+R/NhcdR0ecNobTYGjNyfB4ynJr6DrMDatmtRz76gsa6+roO+FDLAusqb1ZgK6HGQVtmzh66jg6Ojq89FInSsuWUFf3EAeXj/lG0Yc9BeUEmBoy0ciEz/bH/XOqSO8KklPTQVsOQzYRb2rDjMszyK3JZXzr8YxrPQ51XgF502dQf+cOxgMGaA6+MdZ0D1WV1BO1PZG81Apc21gSNNILufGT91j8q/KCPM5u+prshHiatWpN2Nj3MLW1+49vhUgkFgLR76euTHP0ZX4sDN4AbV576tD/3146s9NMRniN0LxFTAw5U94DQcDh67Vot25H1PZEHt4txsvflg59rTixZin5acl0GTaCNs16UnHsITITXYQB1vwYdZSysjLCwgIxMj5MUdFxLC1DeGA+l9nppRhpyVjuas/eiLR/ThX10NNMFRU9gID3qe0+jSUxKziafhQ/az+Wdl+KnZ41Jd98Q8n6DWjZWOOwbBnyjh0BENQC96KyuXEkHV19LYJGetG87YudWSCo1cSfO8PFXVtRNzUR8OobtOs3COlTdm+LRC/iWYVANn/+/P/xX+c/880338wfN27c7/3XEL0obX3NzuOcW3B9Peibg+MT/y0i15bTz7UfqRWp7EzYSa2yFn97f3QcHDDq1Yvqc+co27kLPQc7Wo3sgQDEncuhKFNB38nDUdRWcPfUUSpUxfi82ouG+HKEexW0D+tChaSO6OjbyKQd8PHpTF7ebixrI3ndsz/nq2R8V1DGsLYOBFmbsON6JsdSG+k4+D2stWoheiM6j64QErQAZ+s2HEo7xP7k/TiaONEmbASG3QKojjpH2fbtCEol8g7tkWjJsGthQvM2VuQklRN3Lofq0nocPM3Q0n52m6lEIsGmuRstu/ekNCeLexHHyYi9g727J3KTJ+/REImeZ8GCBfnz58//5kmviYVA9NvT0gWfoVCcBDfWA1JwDnhiWJ22TJvezr2paqxiV+Iu0srT6OHUAz0zS0wGDqQhPl7zhduowGNUX8ztDXlwKZe0mGICR/TBwsGSu6eP8SjlDi1H90VSpKbhWiHeHt4YeFpw8+Yt8vJ06dJlNBWVZ6kv3MFbLj6Ua7uxObcEiZku8zs35+z9Ar67kYNxmwG08euC5N4uiPkOjxa96N3pA24X3mZX4i7ya/Pp1vYlrF5+FVVpKeU7d1Jz+TLyjh3RMjNDbqyDd1fN1E78hRxSbhZg6Wj0Qmcd6MrleAX0wNzekaQrF7lz6hiCWo29p5f4dCD61cRCIPr9ybTA+yWoyoUbG6ChEloEP7EYSCVSujt2x0jHiF2Ju4jOjybIKQgDQzOM+/VDVV5G+Y6dKFJSaDaiPy5+tqTGFHL/Yi7eAX749uzI/YtRxF+KwHVIF4yMrai9moctZrj3akPs/TgDl7ADAAAgAElEQVTi4rLxazsBLa0cCnK3EWxYS0u7UHbml3OloZ5lPT0pL6tn27UMUtQO9Bg2Ht2ca3BjAyaN9QwK+wq1RMr3Sd9zJvMMbR060mLAa+h6eFB1+Ajle75HZm6GXsuWSGVSHD3NcGppTkZcCbFR2TTWq7B3N0X6nE1oEokEy2Yu+ASFUlNawt3Tx0i7dQOb5m5iZ5HoV3lWIRDXCET/W2o1nJmtKQZtXodBX2uKxFNEZUYx8/JMLPQtCA8Nx9XEFUEQKN+5i8KlS9H18sQpPJxGPVNOb4qn4GEVHfu74NFRn6NfLqYkO4vuI9/G29afisPpyIx10BrswMELxzXRFN0DcHaJJzNzPYaGXkhd1/BeeiM5DY3McrVDllHDip+6ita/5otvyjpN0J6VN7y8jVvqGmZdnkVpQynv+73PKJ9RNBUVkz9rFrXXrmMYEoLdooVomWtC6pSKJq4fTCP+Yi5mdgaEvu2NtfOLRVSAGGIn+veJi8WiPxZBgEsr4fzn4Nkfhm8F7ad/mcUVx/HeufdQqVWs6bmGDraaf8s1Fy+SO+0jpAYGOG7YgI6nNxd2J5F0o4AWflYEjmhO1Ldfk3LjCt7dggjqP5rKH9JQ16swGuzK+Zxb3L17l+bNmxMcYk16+mwEQYWTxwqWlLpzoriS3pbGjJYbMWtfHCU1Cj7t583bNg+RHBoPimros5TKVkOYf30BkVmR+Nv5s7jbYiz1LCjbvoPir75CamqC/ZIlGHb/ZwttVkIp53YkUV/VSIf+LrTv4/zcp4N/eDzE7j2atWrzn90T0V+euFgs+mORSMAlAPQtNGsG2dHgNUCzlvAENgY2hDqHci7rHHuS9uBo5IiHmQc6Li4YBgVRfeoU5bt3o+feAq+hndHW0yL+fA7ZSZWEvjMIuZE+d04dJfthPD5j+kORkrqrBXi4uGHVrhkxMTGkpVbRpcsUlMp4CnO30s9Mm+Y23fkut4zrigaW9/SisqKBbVczSGiwoMfLU9AruQ/R4eiVZdA7+AusTZpxIOUAB1MP4mbmhnePlzAMCab20mXKvttOU0Ul8k6dkGhpYWIlx8vfjpryBuLO55CVUIa9mwn6hs9vM9XS1qZ5u044+fjy8PZN7pw8Qk1ZCQ7ePmjpvFibqujvR5waEv1xxe2HwxPAxgdG/giGT2+xrFRU8sH5D4gpjGGq31Te9X0XiUSCqqSEnMlTqI+NxWraNCzGvkvWgzLObLmPTFtK3wmtqatI5uTXK9DS0WXgBzMxTNOn5loeus1NUASbsP/YQWpqaujTJxQj49Pk5u7CxKQDTc4rmZxaRaFCxdwWdkgzalh6OglrIz3WvtaG9jk74dwiMLaHYVt5aGTB9EvTSS5P5nWv15nWYRraKij68kvKd+xEx60FDitWoOft/fPnSrtdxIU9STQ1qvEf2gLfHi8WUQGgbFRwff8eYo4dQm5qSug7k3Dr2OU/vi2ivx5xakj0x5Z6VhNWZ2wHbx4CM5enDm1samTutbmceHiCoe5DmdNlDtpSbdQNDeR/OpuqkycxGTwY24ULqChVcnKD5hjMoNe9sHZWcWTF51QWFRI8ejxu5u0oP5SGzEAb/eEuHLsRQXp6Om3btqVjRzUpqXORyeQ4eq1hfr4NZ0qrGGBlwhhDE2bsu0deRQOf9PZknGsZ0oNjoDIXQj5D0XkCq++uZVfiLtzN3FnefTluZm7UXLlK/qxZqCoqsP7gA8xHv41EqpkOqq1UcH5nEpn3S3H0MiN4lDdG5i8+91+QnsqZjWsozsrA0787waPHi62mol8Qp4ZEf2wWLcA1EO7sgNgfNN1ET4mxlkllhDQLQS2o2ZW4i7jiOHo69URXV45Rr14gkVC+Ywd1t25hNag3Xj1cKMqoIjYqG5m2AWFjh1CS+ZA7J4/QqN+I96uhNNwvRXGziLYB7dGxNyQ6Opq8PAldu06ipuYqxbnbGGpjhYN5J7bmlRDdUM9XwV7UVCvYdjWDe5Vyerz8Pvq1WRC9Ea3c23Tr/hm+9l048fAE3yd9j4mOCX5+fTAZMgTlo0eU79xFXcxtDLp0RmZkhI6eFu4dbTAw1SXhWj4PLudhaKaLhYPBC8VMGJpb0Cq4FzJtbeIiTxEXFYGhuQWWzVzEmAoRIE4Nif4sihI1kRTKOnh9n+agm2c4lHqIhdcX4mrqyoaQDdga2AJQeeIE+bM+RcvGBqfwDWi5NufqgTTiz+fQrKU5oWO8iDn6AzePHMDBqyX9J3xCw8kCFKkVGHS2pciriUNHDgMweHBfVKqtFBYdx9IimFrHz5mcXEKZUsUiN3skWbUsOpGImVybNa+2pUvFCTg1A3QNYcgmShzaMOfKHK7mXSXYKZgFXRdgomtC5Y8/UrDkCyRaWtgtmI9x374/f67K4nqitieQn1ZJCz8rerzuib7Ri8/9l+ZkE7FpDfkpSbi2bU/o2MkYWz65sIr+PsSpIdGfR0WWphhU5sIr28Gj9zOHX8+7zrQL05BryVkfuh4vcy8A6u/dI3vKewgNDTh89SWGgYE8uJzLpe9TMLbSp/+k1hSkxxARvgY9Q0MGffgp8oc6VF/IQcfJCMkAWw6cPERhYSGBgYG4uWWTlv4Furo2OHiuZVaOIefLqhlmY8ZoI2Om740lo7SW90M8mNJKiezHMVCcCAHvo+45m13Je1l1ZxXmuuZ80f0LOtl1ojEzk9zp02mIjcPkpUHYfPYZMkNDANRqgXuRWUQffYiuvhY93/DCtc2LRVRofr6JexEnuPz9diQSKYGvv02bsL4/T0WJ/n7EQiD6c6kt0eQTFcQ/N58IILU8lUlRk6hSVLGyx0q6O2raNJX5+WRPmowiORmbGdMxGzWKvNQKTm+6jyAI9H63FbryCo6sXKw57GbsFFzN21C+PwWJjhTjV9w5++ASsbGxuLm5ERbmRmraxzQ2luLm/hk/qoJZ8aiAFnJd1rg7suNMGofv5eHf3II1wzyxvr4QYraCQwcY/i2J6nqmX5pOZlUm7/i+w6S2k9BqgpLwjZRs3Ii2nR32K5Yjb/fP2O7S3BrObkugNKcG7652dHvZHR39p++7+FeVRYWc3byOzLi7OHj50Gv8e5jbO/5790X0pyYWAtGfj6IafngdHl2C3kvAf/IzhxfVFTElagop5Sl82vlTXvF8BQB1XR15M2ZQfTYS05eHY/vZZ1RXNXFiQxzl+bUEDHfHvYMRJ9YuJ+t+HH59B9K11wgq9qSgKmvAuJ8Lybr5nD59GiMjI4YO7UVp2XLKyi5jazuYUptZTE4qoEbVxBfujkjz6ph75D4GOlqserUtgcqrcHQqIMDANdR59mH5reX8mPojrSxasTxwOU7GTtTdvUve9Bkoc3OxGD8Oq0mTkGhrA9CkUnPr+CPuRGRiaKZHyFveOHiavfClFASBBxejuLBjM6rGRvyHv07HgUORysSYir8TcbFY9OejpasJqytO1uxCVjWCa48nRlIAGGgb0L95f5LKk9iZsJMGVQOd7Toj1dHBqE8fhKYmynfspC7mNhb9w/AOcqEsv5a4czko6qD3uGGolArunDxKQXYKPu8OgIomaq/mYaNrhk//TjxIeMCtW7G4ub2Onb0jOTnb0a+5yDivQcTV67A5twRTC32WdHfnSkox3159hNLcg84DxyLNug43NqBdW0JQ4DzcLLw5kn6Evcl7sTWwpVXLHpgMHYqquFiTV3TlCvKOHdAyM0MqleDoZY5TS3Me/f+ICo/nR1SAJqbC2qU5Pj1CqcjP417EcR7euYWdmycGpi9eUER/bmLWkOjPSaoFLV/SHDAfHQ7VeeDWC54yz60t06a3S28qFBXsStxFekU6PRx7oC3TxqBLF3ScnSnf8z1Vp05hHBiAV5gXgqBJMM1NqaTHyDCsnJ2IPXOSpBsXcX81CENLC2qu5aGTq6Tzyz0oKC8iOvomMpk37doNp6joMOUFe3jT1Q+53I0tOSXE1DewJswbdUMT265mcC1XRbfh72GkI4HoTZB0nBZt3qS/72hii2PZlbiLrOosujoHYtGrL7pu7lQe+WVekUQiwdBMD++u9jTWq4g7n8PDu8XYuBpjYPrkjXj/SkdPH8+u3bFs5kzytUvcOXmEJpUSew9v8engb0DsGhL9uQkCnF8Ml1ZodiAP+/aZkRSCILAzYScrY1bia+nLmuA1WOprAtqetIicdruIqO8S0DPUpu8EX4SmIo6sXEx9VSW9xr+Hq3UbSn9IBsDsFXeu58Vy+fJl7OzsGDw4kKzsz6iquouT49vkmE9mSlIuCrXASk8npPl1fHowHm0tKSuHtyFUNwEOjdeE7vX5gia/UWy+v4WNsRuxNbBlWeAy2li1QVlYSN7MmdRdv/FYXhFAdkIZUTsSf46oaNfHGdkLRlQA1NdUc3Hntzy4EImZvSO9x0/Fwavlv3mDRH8G4hqB6K/hxkY4PQNcusNre0Dv2WFtUVlRzLykCaxbH7KeFqYtAFDm5WkWkVNSfl5ELsmu4WR4HPU1SkJGeePgocux1UvJSbhP+wFD6NrnNcp3J6MsrMU4zJk8uzoOHT6EVCpl6NBBCMIBsnM0ZyNbuK/m/fR6blbWMsregjGmpkz74R4J+VW8082VGd0t0Dk6EdKjwHsQDFrLvepMZl6eSUFtAZPaTuKdVu8gRULZjh0Uf/nkvKKGWiWX96WQEl2ItbMRoaNbYmZr8KsuaUbsHc5uXkdVSTFte/Wn+4hR6OjLf/29Ef3hiWsEor8Gxw5g3gKiN0JapObpQOfpX3zNTZoTYB/AsYfH2J+8Hx9LHxyNHJEZGWEycCCND9Mp274DVVER1v2D8fB3ID+9gtiobKRaOoSOGUJjfR13Th6hIDuNVu/0g1qB2qt5GCv1aT+sG2kP07lx4yaWlkF4eweTl7+P6qIDvO3eDZmuI1tySrhd38DaMC9kKoFt1zK4lFFLt6ETMTExg1tbIP4Atp4DeKndJHKrc9mdtJuYwhi62Ptj3anbL/OKyiuQd9bkFWnpyGjhZ42FvQHJ0YXEXchBW1eGjYvxC28iM7W1wze4F8qGeu5FnCDxygUsHJwwtbX/b9010R+EODUk+mv5FZEUAHk1eUyOmkxGZQZz/ecyxH0IoDkSsnjtWko3bkLesSMOa9cgMTLh0g8pJFzJw8XXgrAxPqTcOE/klvUYmlswcNqnyHP1qDz5EC0LfYxfc+d0dBRxcXG4u7vTp29bUlM/orY2jeau75Nq+CZTk7JpEgRWezdDVljPJwfiAFg2rDX9zPLgxzFQkQ3BsxG6fsDRR8dZHL0Ybak2C7ouINQ5FLVC8cy8otpKBRd2JZERX4qDpynBo7wxtnj+4Tf/X25yImc2rqEsL4eWgcEEjXoXfaMXj8gW/bGJU0Oiv56saNjzMmjpw5sHNaF1z1DdWM1HFz7iev51xvqOZYrfFKQSzZx65bFj5M+e8/NOZJ0WLbh/MZfL+1Ixtdan36TW1Fdlc/TLJTTU1tBn4ge42PhSuicJoVGN2cvu3K9/xOnTpzExMWH48IFUVKyjoPAIFuaBmLRYzqTkcu5W1zHW0ZK3zUyZtjeW2OwK3uzizOwQB/ROT4MHBzWdUUO/IVNQMOPSDB6UPmC4x3Cmd5yOvpb+M/OKBEEg8Vo+V/alggS6v+KBl7/tr4qYUDU2En1oLzePHEDP0IiQMRNw7xwgxlT8BYiFQPTXVJgAu4a+cCSFUq1k8Y3F/Jj6I31d+rKo2yJ0ZZqOmyctIucklXF6830QoPfYVpjbSTj65RLyUhLp+NJw/Pu+QvmeFBqzqzEKcqSqpRb79u+jvr6e/v37Y2WdSErKInR1LPHw+Zq1xZZszinBz0jOeq9mfH/xIZsvP8Lbzpj1I9rSPOcQnJyume4asgll8x6su7eObfe34WLiworAFXiae6IqL6dg7lyqz0Yi79wZ+6VfoG1n9/PnrCqpJ2p7InmpFbi2sSRopBdy418XT12U8ZAzm9ZS+DANt47+hLwzEUMz8+f/oOgPSywEor+u8kxNJEVV3gtFUgiCwLYH21h1exVtrdqyJngN5no/nR72hEXkqpIGTobHUV5QR8BwN3y623Bh+2Ziz57CpU07+k36mIZzhdTeLEDX3RTdgU4cOnWER48e0b59e7p1cyQh8X0UiiLc3WdzT2cA05KykUkkrPVuhqy4gY/2x9KoUrNkiC+DHarhwBgoegBd34PgudwovsOnlz+lQlHBtPbTGOk9EoDKgwcpWLxEk1c0fx7G/fr983OqBWLPZXPj8EN09GUEve5Fc78Xj6gAUDc1cfvEYa7t241MW5seo96hVVCY+HTwJyUuFov+uvRNwWeopgPnRjiYOYNtq6cOl0gk+Fn74Wbqxt7kvURkRNDVvitmemY/LyIr0tMo37ETVVERFr2C8OzqQFmeZvNZXaWSoDf6YGRhwb2IE6REX8Hj5Z4YOVlTcyMfVWIFHQZ1BwMZ0dHRZGdX073bJyhVj8jJ+Q5HST5vew3ickUDm3KKsTOXsyzIg7tZ5Wy9mkGe0oBuw99Hu7Hyp0XxKBxbj2RQq7dIr0hnd9Ju4kvi8bf3x7x1e4z79KEu5hblO3aizM5G7u+PVEcHiUSCbXMTmre1Iie5nNhz2VSV1OPgaYaW9ou1mUqkUhw8W+LRpRsF6SncPX2M3KQEHLx80PspE0n05yEuFov++hqqYO/IF46kAIgtjmXquamPHYEpqNUUr1lL6aZ/LiLLTEy5efwRMSczsG1uQp/xragoeMixr5bQ2NBA30kf4mzvS+muBJpqVZgNdSNLv4zDhw8jlUoZNmwoWlpnSX+4Crm8OZ4+61iap8eOvFI6mxiwzsuJvZczWX8hDTcrQ9aPbIdH6Xk4OkVzzvPA1QithvFD8g+svLUSIx0jFndbTIBDAIJSScnGTZSEh2vyipYvQ96+/c+fs6lJTczJDG6fysTARIfgt7xx8vp10zyCWk1c1Gku7d6GWq2m26uj8Os7AKlU3Ij2ZyFODYn+HpQNcHAsJB6FgA8gZN5TdyH/Q3Z1NpOjJpNdnc3CrgsZ2GLgz69VHj1K/pzPfl5E1nVz02w+256AnoFm85ncSMnRL5eQn5ZMl2Gv0bnP8P9r78zDsyquBv47ed+sZAMSAiRAghAgCoLgguICoihiq60KLq3auqBWrJ9btbaC/b661NZPUaxKFalUsYqA1oKCbIoiqyxhEbKQQICEkISErG9O/5gJeU2TSBQS8Z3f8+TJvXPnzj333HnvuXNm5gwH3txGZUYx7YZ2wXdGDDPffouCggKGDx9O2olBpKffTW1tBampj/C5jODebbmEBQlT0nrg2V/J3TPXUVpZw6M/Ookre9Uis242y3mefDWM+iNfVe7n/qX3s71oOz9P+zl3nXIXIZ6Qr8cruuVm4u+443C8IoC9WSUseDWdor2HGDA8iTMuP4HgkJa9yEsK8lkw9Xky166iS68+XDh+AnHderTsOTnaBOcacgQGnrqQFPuMW6UwE1Ivgma+WmNCYxidMpr1+euZnj4dgCEJQxARwvr0od3QoRTPnUvRmzMJTU2ly5kn0uOkjny1ai8bFu8ivntHho27lLIDhaz5YC55mVvpfc0IQrzhlC3fTdCeKs4YN5yishJWrFhBUZGXYcPuoaxsPbm5r9HVt4Xreo9iSbHyYk4+ie0jeHJ4H9bnFvPKp1lklXk5+8oJhHiCYNXfYM10OsancdmZv+Vg1UFmbJnBstxlDOk8hE7J/fziFb3OwUWL8CYkEJJsFqeJjA0l7awuVFf6WL8olx1r8klIjiay/ZGFqAAIjWhH37POpX2XRDZ/uoS1/34PVOma2te1Dr7nONeQI7BQhWV/NmsJJ58NY183fQnNUO2rZtJnk5izYw5jeo5h0pmTCPGYkTbVu3eTc8evqNy8mdhxY0m47z4qfMHMe2kDeduLOeWiHpx+aQobF3/E4ulTATj7mutJ7XQqRbO2I2FeOlzbly/3bmH+/PnExMRw1VVXUuNbwI4dTwFKYvK9PH/oPN7cc4CzYiN5rm933l6ezdMLttGjYzsmXz2Ik7y58N6vIfcLM8x0zNMsPpTD7z79HZW+Sh449QF+0vsniAglH37Ivj89RXVODmH9+xM/4U7aDRt2uKM3d0shC1/bTFlxFYMv6sGQ0cl4vC1bq+BQSTEfv/oiW5cvJa57MqNunUDnXqktf16OVsG5hhyByfq3YPbtZinMH0+BpMHNZldVXt7wMpPXTmZwwmCeGf4MMaExANRWVJD/zLMUTptGcFISXR/7I6EDT/mvyWcVpYV8+NJkstevJaFnb86//GZYUoavqJLYS3tS2LWGf/7zn5SXlzNixAjS0jqTlfUH9hcuJTp6EOlxjzIxu5oor4cpaT0IPlDFhDfXcqCsmgnn9+KqIYl02voPWDAJairh3PvYN/AaHvr8EVbkreCCHhfwyNBHiAmNQaurKZ4zh4IpL1C9ezdhAwYQd9t4Is87DxGhsryGT2ZuY8vne4jrFsnIG9Po2LXlncDbV61g4dTnKSsqInXoMPoMHUbyyacQHHrkay47jj3OEDgCl8yl8M7NULoHBl0H50+EyOaHUX6Q8QEPf/owiZGJPH/+83SP7n742KGVK9n94ENU79pFhxtvJG7CnaR/XnB48tnF4/sTmxDBluVLWTJ9KmXFRQwaMYYTg86gensJEYMTCB6ZwLvvzSEjI4OQkBAGDjyZlJ755Oc/R01NKb4u/8PEomFklldxf0pnru0Yy4OzNrBg8z48QcI5veO4Ji2EEZl/xrNlLsT3o3bMX5h2cAuT10wmLiKOx89+nMEJxvBpVRVF785m/0svUb1rF6Fp/YgbP56okSORoCAy1uWzeMYWqsp9nP6jngw4P6lFAewAKg+VsfytGaR/spiKgyV4g0NIOrE/KQMHkzJwMLGdu7php22MMwSOwKbyICx50gwvDY6A4Q/CqTeBJ7jJU9bsXcNdi+5CEJ4Z8QyDOg06fKy2rIy9T/6JopkzCel1Al0ff4L93i7Me3kj1RU+Uk/vTPe0DnTqHsrqD2aybt6/CI+O5sLTbiJ0u4fgxEg6XtePPWUFrFixgvT0dHw+H4mJ0aSmfkmN7xMkvC//CP8D7x8IYniHKCb360FRUTnvrNnFu2t2saekgugwL/ekZDJu37OElu2CwTey8ZSxPLDif8ktzeW6ftdxccrF9IrtRZg3zLQQ3nuf/S++SFV2NqG9exN323iiRo2ivMzH4hlbyPyygOi4MLqndSS+exRx3SLp2DUSzxEOOa31+chJ30DG6i/IXLeaA3m7AIhJ6EzKwMEknzyY7icOIDjMtRZamzYzBCJyEfAM4AGmqurjDY6HAtOBwcB+YKyqZjVXpjMEjm9NwVcw7zcmYF18P7j4Ceh5bpPZs0uyuWPhHeSV5vHQ6Q9xWa/L8Ph1iJYuW0bebx+mprCQuPHjCR93Ayvn5bB91V6qKnwgEN8tivadD5G7aRaFuTvonzqCNDmNIK+HmEt6EtozhqpgHxvTN7F27Vry8vLo2HEPffquIshzgNUxDzLl4KlEej3c2i2eXhGhdA0JJm/3QeZ9mcf8TXsIqj7EpKjZ/LT6fTQijopRj/L4wXRm75gNQJAEkRSZxAmxJ9ArthcnRCVzwuo9eKfPoTojg5CePYm79RaiRo9m5+Zi1i3MIT+7xNwDEBQktO/SjvhukcR1iyK+eyRxSVFHtGRm0d49ZK1bTea6VezctJ6ayko8Xi9Jaf1JPvkUUgYOoUNikmsttAJtYghExANsAy4AcoGVwNWqmu6X53ZggKqOF5FxwOWqOra5cp0hcHwnVGHrv2H+g3Agy4wyGjkR2qc0uvpZUUURdy++m1V7V9EhrAMJEQnER8QTHx5PXHgcnX2RpLzyMREfrySob2+6PPJ72vUfRP7OUnI2F5KzuZC9GSX4fLXg20R1+TLaSQQjUq4jrNp+FQsERQbjiQnlQGg5W6p2sq14GwmJK0lM2sxOTeMfYQ+wsfrrkVYjPUF09XgJ3VdBcXYJnfZu4LHgqfQPyiIn/mz0kofZrAfYUZzJ9qLt7CjaQXZJNj41L3gPwujsDly8pIy4XaVUd+lIyA3jSL7sGkKj2lOyv5z8naXk5xykIOcg+TmllJdUHb5+dHy4n3GIIr5bVLOhLGqqq9m1eROZ61aR9eUa9ufutOV0OmwUup80wIXBPka0lSEYCkxU1VF2/0EAVX3ML898m+czEfECe4B4bUYof0Mw6b1NpO8uOSbyO37YBGsVY0rf4fLSNwmlkipC8Enjwx9rgYURoXweHsx+TxAFniAKvB4OBAlqjcfpW2q5eV4t0eVQ6YVaP0+KLyiU4pjeFMf05UBMMqVso7YqnfahnYkN6UK4J5IIbyThnkjCvVGEeyLxekLYGVRAVsxaovvOp11UIcW+WAo0ngKxf8RTIHEUSCcKiKeiPITgXQf55e5Z3KszaSeVAJRrCD6MQNXAzmAPmSFeMkK8ZIZ4yPJ6ScgK4vLltfTcA7UClU14zaqCoylr142ydkmURZr/lWH1fS5BvirgyN4ptbUl1Nbk4KvJxleTa6UT4JtbGo6Wc+9bs9vEEFwBXKSqN9n9nwGnq+qv/PJstHly7f4Om6egQVm3AHWTB/oAW/0OxwFfyx/AOF3U43RRj9NFPYGsix6q2uhIiePC9KrqS0DjEyFEVjVl5QINp4t6nC7qcbqox+micVo2Rqxl7AK6+e0n2bRG81jXUAym09jhcDgcrcSxNAQrgd4ikiIiIcA4YG6DPHOB6+32FcDHzfUPOBwOh+Poc8xcQ6paIyK/AuZjho++oqqbRORRYJWqzgX+BvxdRLYDhRhj0VIadRkFKE4X9Thd1ON0UY/TRSMcdxPKHA6Hw3F0OZauIYfD4XAcBzhD4HA4HAHOcW0IROQiEdkqIttF5DdtLU9rIiLdRF7YPJIAAAkRSURBVGSRiKSLyCYRucumdxCRj0TkK/u/fVvL2hqIiEdE1orI+3Y/RURW2Lox0w5YCAhEJFZE3haRLSKyWUSGBnC9uNv+PjaKyBsiEhbIdaMpjltDYENYPA9cDKQBV4tIWttK1arUAPeoahpwBnCHvf/fAAtVtTew0O4HAncBm/32nwCeVtVewAHgl20iVdvwDDBPVfsCJ2P0EnD1QkQSgQnAEFU9CTNoZRyBXTca5bg1BMBpwHZVzVDVKuBN4MdtLFOroap5qrrGbh/E/NgTMTp4zWZ7DbisbSRsPUQkCbgEmGr3BRgBvG2zBIQeAEQkBjgHMyIPVa1S1SICsF5YvEC4nacUAeQRoHWjOY5nQ5AI5Pjt59q0gENEkoFBwAogQVXz7KE9QEIbidWa/D9wPyYsEEBHoEhVa+x+INWNFCAfeNW6yqaKSDsCsF6o6i7gKWAnxgAUA6sJ3LrRJMezIXAAIhIJvAP8WlW/FoHPTs77QY8PFpExwD5VXd3WsnxP8AKnAC+o6iCgjAZuoECoFwC2H+THGOPYFWgHXNSmQn1POZ4NwZGEsPhBIyLBGCMwQ1Vn2eS9ItLFHu8C7Gsr+VqJs4AfiUgWxj04AuMjj7XuAAisupEL5KrqCrv/NsYwBFq9ABgJZKpqvqpWA7Mw9SVQ60aTHM+G4EhCWPxgsX7wvwGbVfUvfof8w3ZcD8xpbdlaE1V9UFWTVDUZUwc+VtVrgUWYsCUQAHqoQ1X3ADki0scmnQ+kE2D1wrITOENEIuzvpU4XAVk3muO4nlksIqMx/uG6EBb/18YitRoiMgxYBmyg3jf+EKaf4C2gO5ANXKWqhW0iZCsjIucB96rqGBHpiWkhdADWAtepamVbytdaiMhATMd5CJAB3Ij56Au4eiEik4CxmFF2a4GbMH0CAVk3muK4NgQOh8Ph+O4cz64hh8PhcBwFnCFwOByOAMcZAofD4QhwnCFwOByOAMcZAofD4QhwnCEIUETEJyLrRORLEVkjImd+h7IeFZGR3+H85d/23BZc4w0RWS8idx+Dslskv4hME5ErGklfLCJHZWF1ESn9huPJIrKxhWU2Krfj+OeYLVXp+N5TrqoDAURkFPAYcO63KUhVf/9dBFHVb22EjgQR6QycaqNNHs1yvapac6zldziONa5F4ACIxoTjBUBE7hORlfYLepJf+u/s+g+f2C/se2364S9FEckSkUm2lbFBRPra9Iki8or96s0QkQl+5Zba/+fZ43Wx9GfYGaGIyGibtlpEnq1bd8AfG2v+VXvdtSIy3B76EEi0LaCzG5wzTUT+KiKrRGSbjV1Ut77Bn/z0cKufjMtEZC5mlqq//GLP2WhlGOuX/pzV3QKgUzPP4mdWzo0icpo9/zQR+cze0/K6WcMicoOIzBKReWLWGXiyEZ3E2XMvaeRaXqvjzVbnEfac39v73igiL9U9gwblNprHPr8nROQLq8+z/fT5lM2/XkTutOmDRWSJfa7zpT4MxgQxa22sF5E3m9GX42igqu4vAP8AH7AO2IKJyjjYpl+IWeBbMB8K72PCGp9q84cBUcBXmFm8ANOAK+x2FnCn3b4dmGq3JwLLgVAgDtgPBNtjpfb/eVaWJHvtz4Bh9po5QIrN9wbwfiP3dA9mhjlAX0yIgTAgGdjYhB6mAfPs9XpjYvWEAbcAD9s8ocAqTPCy8zCB3FL8yqiT/6fAR5iZ7gn2+l2An/ildwWK6vTVQJbFwMt2+5w6mTGG2mu3RwLv2O0bMDOHY6zM2UC3OpmsDCuACxq5VjIm8NxZdv8Vv+fZwS/f34FLG3nOTeVZDPzZbo8GFtjt2zBxj+ruowMQbOtEvE0b6/f8dgOhdju2rX8vP/Q/5xoKXPxdQ0OB6SJyEsYQXIiZeg8QiXlBRgFzVLUCqBCR95opuy4A3mrMS7COf6mZyl8pIvswL6rcBud+oaq5Vq51mBdWKZChqpk2zxuYF3VDhgGTAVR1i4hkA6lASSN5/XlLVWuBr0QkA2NELgQGSL1PPAajhyorY2Yj5QwD3lBVHybI2xKMAT3HL323iHzcjCxvWPmXiki0iMRidP+aiPTGvLyD/fIvVNViABFJB3pgjGYwZgGaO1R1SRPXylHVT+3265hFXJ4ChovI/Zj4/R2ATUDD591cHv/nn2y3RwJ/VRv+WVULbX07CfjINig8mHDRAOuBGSIyG5jdtLocRwNnCByo6mciEgfEY1oCj6nqi/55ROTXLSiyLm6Lj6/XMf94Lg2PtSTP0aZhnBXF6OFOVZ3vf0BMPKOyVpblD8AiVb1czNoTi/2ON6WvGsyLeBTQlCH4r2uJSBgwBbOqV46ITMS0Ng5zBHmaev4NEWCTqg5t5NglGAN6KfBbEemv9WsIOI4yro/AgRg/vgfjrpkP/ELMOgeISKKIdAI+BS61fvhIYEwrirgV6GlfgmBcCI2xDLgWQERSMQHWth5B+VeKSJCInAD0tOfMB24TE+obEUkVs8BLcywDxlp/eDzmRfYFsNQvvQswvJky6voVhgHF9ms/hvpQyTccwf2Aecn/AugrIg80kae7bQ0CXAN8Qv0LvcA+58ZGCR1JnoZ8BNwqNvyziHTA6Dm+TgYRCRaRE0UkCOPiWgQ8gLn/yCO4huNb4loEgUu4db2A+TK73rouPhSRfsBntrleionOuFJMB+l6YC8m6mlxawiqquUicjswT0TKMCHIG2MK8IKIbMB8Ed+gqpWN9HU2ZCfmhR0NjFfVChGZinFrrLEdofl885KG7wJDgS8xL+L7VXWPiLyLWSch3V7rs2bKqBCRtRjXzi9s2pMY19DDwL++6WbqUFWfiFwNzBWRg6o6pUGWrZi1rl+xsr2gqodE5GVgI2Yls//StaoWfVOeRpiKcdOtF5FqTF/Ic9b19qyYJTa9mGjC24DXbZoAz6pZbtNxjHDRRx1HjIhEqmqpHV2yFLhF7brJrXhtAZ4HvlLVp49CudMwHc9vf1Neh+OHinMNOVrCS7YVsQYzcqVVjIDlZnvtTRhXwYvfkN/hcBwhrkXgcDgcAY5rETgcDkeA4wyBw+FwBDjOEDgcDkeA4wyBw+FwBDjOEDgcDkeA8x+odkWYJgvHKQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the labor function at various transitory productivity shocks\n", + "TranShkSet = LaborIntMargExample.TranShkGrid[t]\n", + "bMin = bMin_orig\n", + "B = np.linspace(0.0, bMax, 300)\n", + "for Shk in TranShkSet:\n", + " B_temp = B + LaborIntMargExample.solution[t].bNrmMin(Shk)\n", + " Lbr = LaborIntMargExample.solution[t].LbrFunc(B_temp, Shk * np.ones_like(B_temp))\n", + " bMin = np.minimum(bMin, B_temp[0])\n", + " plt.plot(B_temp, Lbr)\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "plt.ylabel(\"Labor supply\")\n", + "plt.xlim(bMin, bMax - bMin_orig + bMin)\n", + "plt.ylim(0.0, 1.0)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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SMrHjpVVBH+AGYEfgj2uhVdWajRlTh3AoxMwRFxIpKfnj6tNouzYcP+lievTq43c80wJ4GaKZB1wJzMCZFnkezqwYY8wmRCMR7ho1nMi6YqJaRkA6kdSmNf2Hnsdeex/odzzTgngp8Omq+oqIiKr+CEwVkcXAFTHOZkyzoqrMHDeS0O+Ff1x9mtIqi+1OOJKjTjzD73imBfJS4KtFJAB8KyIjgV+BjNjGMqb5UFVmTxlP5fJVRLQYkbakpGWTc+ienHLuCL/jmRbMS4EfA7QCRgPXAIfhXN1qTIs37+rLKP5yhdtWIIPU1C602bsX54ya4nc0YzzNovnQvVmGM/5uTIv36K03surDLwhHC922Al1I2jmTCyfb1acmfniZRdMXuBToXnt7Vd01hrmMiUtPzbmb5a/8l3DUXdQ6OYfotm0YeeWtfkcz5n94GaJ5CJgILAWisY1jTHx69bFHWLroP4Qj64AUUpNyqe6Vwshr7/I7mjGb5aXAr1HVp2KexJg49P7LL/DfeQ8TDq/D6ReTS1X3ABdeO5OkpCS/4xlTJy8F/koRmQO8grPOKgCqau0LTMJa9sF/efGOewiH1gFCaiCHym7KkGvuJCU11e94xnjipcCfB2yPs6bq+iEaxfrTmAT009dfsejaG2s1AsumMlc5d+otZLRp43c8Y+rFS4HfW1Vt8UeT0Fb/+BOPXH4F4epiIOx0eMyOcsal19A5s4vf8YxpEC8F/l0R2VFVv4x5GmOaWElBAfPGTyBcWQzUEAzkEOoc5sRxE+nWa1u/4xmzVbwU+H2BT0VkOc4YvABq0yRNc1ZZWsbssaOJlBWjVJMcyCbSIcqRQ4eyw259/Y5nTKPwUuAHxDyFMU2kpqqKWaNGECktQbWS5EAW2lbZ74wz6HfIEX7HM6ZRebmS9cemCGJMLIVDIWaNHkmosAjVcpKkM7TNYMcTj+bIY071O54xMeHlDN6YZisSCTNrzEhCa4vc1r0dSc5oTbdD9+Gks4b6Hc+YmLICbxJSNBJh1kWjqVlV4Bb2DqS0yqLTfjvy9yET/I5nTJPwVOBFpDvQR1VfFpF0IFlVS2MbzZj6U1XuGT+GqpVriGqp05M9PZt2fXtz9kjr8GhaFi/NxgYDQ4COQG8gD7gHODy20YzxTlW5b/JFlP+4iqiWINKOlLRs0nfP44JxV/kdzxhfeDmDHwH0A94HUNVvRSQrpqmM8UhVmXvZxZR9/6u72EYbUlK7ENw5i2GTrvc7njG+8rSik6rWiAgAIpKM06rAGN+oKvOvvoyiZSvcwp5BakoXZIdOjJgyze94xsQFLwX+DRGZAqSLyJHAcODp2MYyZvMevP5q1i75xl1FqTWpwS7otu0YecUtfkczJq54KfCTgfNx+sEPBZ4D5sQylDGb8ugt0/j9o6VEokV/rKIU7tOaEZfPQAIBv+MZE3e8XOgUBe4D7hORjkCeqtoQjWkyT8ycwU9vf0wkWgiSTmowh+peqYyYeocVdmPq4GUWzevA8e62i4HVIvKuqo6LcTbTwj0z9x6+f/kdwtFCd3m8XKp7JnPh1DtJSrbFNozZEi9DNO1UtURELgD+oapXisiSWAczLdeLC+ax7D+vOcvjSSqpyblU9Ehi6NQ7CAaDfsczptnwUuCTRSQHOA1n8W1jYuK1xx5lyaLn/lj3NC0pl4p84YKpt5OWluZ3PGOaHS8F/irgBeBtVf1QRHoB38Y2lmlJ3nl6ER89sqjWgtZdqegG51x5CxmtMvyOZ0yzVWeBF5EkoFvt3u+q+gNwcqyDmcT34Usv8O4DtRa0DuRSkR9l4JRptGvX3u94xjR7dRZ4VY2IyBnAjCbKY1qAz958k9fvnesW9gCpgRzK86KcPelaMjPtImljGouXIZp3ROQu4J9A+foHVfXjmKUyCWnZh//lxdtnEQ4VAuKcseeG+du4y8nN6+Z3PGMSjpcCv7v799W1HlPgsLpeJCLdgH8A2e72s1X19oaENM3bd0s+4dnpt7mFHVIDXajICXP86IvJ79HL53TGJC4vFzod2sB9h4HxqvqxiLQBFovIS7Z4d8vx01fLWHTdNMI1hYCSEuhCVZcwRw8bS+/tdvQ7njEJz8uFTtnA9UCuqh4tIjsC+6nq3Lpep6q/Ab+5t0tFZBnQFbACn+BWfvc9j111jVvYo6QEcqjODnHYecPYabc9/Y5nTIvhZYjmAWAeG+bAf4MzHl9nga9NRHoAe+C2HN7ouSE4/ebJz8/3uksTh1b99DOPXn454aoiIOIU9swQ/c8axB799vU7njEtjpcC31lVF4rIJQCqGhaRiNc3EJEM4HFgrKqWbPy8qs4GZgP07dvXetw0Q+t+W8mCyZe6hT1EMJBLqFMN/U4/g30ObOgInzFma3kp8OUi0gm3B7yI7AsUe9m5iARxivtDqvpEg1OauFRasJb7J0wkXFEM1BAM5BDuGGK3E0/g4COP8TueMS2elwI/HngK6C0i7wCZwClbepE4K4TMBZap6q1bldLElfKiYuZcNI5weRFQQ3Igh0j7MNseezQDjvmb3/GMMS4vs2gWi8jBwHaAAF+rasjDvg8ABgJLReRT97Epqvpcg9MaX1WWlDF73GgiZcUo1SQHsom2jdDzyEM5/pS/+x3PGLMRL7NolgCPAv9U1e+97lhV38b5hmCauarycmaPHU24pBiliuRANto2Ss6B+3PaWef7Hc8YsxlehmiOA04HFopIFGcGzUJV/SmmyYzvqisquXfsKMLFxSiVJAWyISODzvvtyd/PG876dXqNMfHJyxDNj8B0YLqI9AEuB6YBtuJCgqqpqmb22FHUFBY6hV0ykYwM2u69M+cOGWuF3ZhmwssZPCLSHecs/nQgAkyKZSjjj1BNDfeOHU3NunWoVpAUyCTQKoP0PbbjghEXW2E3ppnxMgb/PhAEHgNOddsFmwQSCYe5Z9woqtcUOIVdOhNo3ZqUXXoweMwVJAWssBvTHHk5gz9bVb+OeRLT5CLhMLPHj6Fq1VqiWk4g0Ink9AwCO+QxbPxUkpNsQWtjmjMvBX6FiPwd6FF7e1W9erOvMHEtEgkzZ+JFVKxc5RR26UhKq9awbQ5DJ15DSrIVdmMSgZcC/yTOlauLgerYxjGxpNEo902eQPlPK4lqGQHpQEp6BpFtOzF44g2kBe335sYkEi8FPk9VB8Q8iYkZjUa5/9JJlCz/laiWEpD2pKZ1oWab9lww6UbSUz39rt0Y08x4+Z/9rojsoqpLY57GNCpV5YHLp1D03QqiWopIO1JTs6npncG5F99MRlrQ74jGmBjyUuD7A+eKyHKcIRoBtPZC3Ca+qCoLrrmCdV9+T0RLEGlLamoXqnq2YuDFN9OuVYrfEY0xTcBLgT865ilMo1BVHr7+GtYs/cot7G1ITXEK+5mTbqJDRqrfEY0xTWizBV5E2rr920ubMI9pAFVl4S3T+W3xEiLRYkQySE3pQnn3VM6aeBNZ7Vr5HdEY44O6zuAfBo7FmT2j/LlxmAK2WnIceOK2W/np/cVuYW9NajCH8h5BTh93I107tfU7njHGR5st8Kp6rPt3z6aLY7x6atad/PDm+0SiRYi0Ii2YS1n3JE4ecwPds9r7Hc8YEwdsflwz8+zce/j25beJRItA0klLzqW0e4DjRl5Ln9zOfsczxsQRK/DNxIsL5rHsuVcJRwv/KOxl+XDIhVezU34Xv+MZY+KQFfg499pjj/LZomeJRApB0khLyqUsXzhw8KXs2jvf73jGmDjmtV3wbsCB7t23VPWz2EUyAG//+wkWL1xEOFIIkkpaUldK85WDzpnM3jvY77eNMVvmpV3wGGAw8IT70IMiMltV74xpshbq41de5q25/yAcWQekOIW9m7LfmRex/67b+R3PGNOMeDmDPx/YR1XLAURkGvAeYAW+ES374D1evH0W4XAhkExqoCtleRH2OG0Eh/bdxRbbMMbUm5cCLzirOK0XwRbTbjQrli7lyWk3Ew4VAkJqIJfyvBDbHTuIYw7qZ4XdGNNgXgr8POB9EVnk3j8RmBu7SC3Db99/x8Kp1xCuKQRwCntONd2POI2TBhxmqygZY7aal0W3bxWR13GajgGcp6qfxDRVAlu3ciULLplCuKoQiJISyKUqq4Y2Bwxg6MnHE7RVlIwxjaSuXjQda91d4f754zlVXRe7WImntKCAeRMmEKooAkKkBLpS07ma1L32Z/CZZ9liG8aYRlfXGXztHjT5QKF7uz3wE2AtDDyoKCtjztgxhEoLgRqCgVzCHWqQXXZj6KAhZNhiG8aYGKmrF01PABG5D1ikqs+594/GGYc3daiprGT22DHUFBWgVJMcyEHbhohs34dBQ8fQ3nqyG2NizMvp476qOnj9HVX9j4hMj2GmZi0cquHesWOoXrsWpZLkQDaaESXcuysDR0wmq02a3xGNMS2ElwK/UkQuAx50758JrIxdpOYpEg4zZ+JFlP/2O6oVJAUyCbTKoLp7JmeMuoK8DtaT3RjTtLwU+DOAK4H10yTfdB8zOAtaz7/iUgq/+4GolhMIdCKYnkFZ9w6cNnwqvbPa+B3RGNNCeZkmuQ4Y0wRZmhVV5YnbbuGn9xcT1VIC0oGUtAxKu7XmuKFXs0s368lujPGXl140r+HMpvkTVT0sJomagVcffYglTz7nrqLUhrSUHEryU+g/8HIO3N5a9xpj4oOXIZoJtW6nAScD4djEiW9OI7D5bodHpyd7SfcAff42gWP27E3Arj41xsQRL0M0izd66B0R+SBGeeLS8iWf89T06W6/mCBpSXmU5ofpfMRghhy6l119aoyJS16GaGpf0RoA9gLaxSxRHCn45RcenHIZ4ep1OI3AulKWFyK490mMOuFwWttFSsaYOOalQtW+ojUMLMdpIZywKkpLmTNmDKHydUCElEBXqrKrKN9hX4ac9Xc6traLlIwx8c/LEE2DWhKIyP3AscBqVd25IftoapFwmPvGj6Pi95Uo1QQDuYQ61lDcvQ/nXHAh3TraXHZjTPPhZYimFXARkK+qQ0SkD7Cdqj6zhZc+ANwF/GOrU8aYqvLYzTfy6+LPiGoZSYEsJCNKYZfOnDhkErvZlEdjTDPktR/8YmB/9/6vwGNAnQVeVd8UkR5bE64pvPPvRXz4z3+5Ux7bkZraheJuqfQ94zKO2qmLLbhhjGm2vBT43qp6uoicAaCqFZIAVe+nz79g0Q3TCIfXgaSRlpxLcY8AHY4cxZD+O5CSbDNjjDHNm5cCXyMi6bgXO4lIb6C6sQKIyBBgCEB+fn5j7XazyouKmTt2LKFKp519WiCPku4hwrudyogTDqFdq2DMMxhjTFPwUuCvBJ4HuonIQ8ABwLmNFUBVZwOzAfr27fs/V8w22vtEo8y7ZDJFK75HqSYlkEdVdhU/d92D4YMGkt/JfoFqjEksXmbRvCQiHwP74kyVHKOqa2OerBG98+/H+eDRx4lqCUmBTMiI8lvn9gw4bzwHbZvpdzxjjIkJL7NoDgA+VdVnReQsYIqI3K6qP27hdY8AhwCdReQX4EpVbdLFutf98gsLJl9KOFQA0oq0YA5F+UEyjxrD1P59bJzdGJPQvAzRzAJ2E5HdcKZLzsWZ+nhwXS9SVd9aCkcjEWaPHUv56l+ACKmBbpT2qGbtNicw9tQjyG5ri24YYxKflwIfVlUVkROAmao6V0Ti9krWxS++wJv3P0BUS0kO5BDpUMP3nXI5Y9AI+vXsuOUdGGNMgvBS4EtF5BLgLOAgEQkAcTfVpLqikntHjCBUsQYknfSUHAq7Bml9+ARuPHQbUpOT/I5ojDFNykuBPx34O3C+qv4uIvnATbGNVT+vPfIQnzz5JKoVpATyKc+r5Mvsg5k88AT6ZNuKSsaYlmmzBV5E0oBhwDbAUuA9AFX9iThpPxCqqeHe4cOpLv3duQo1PZPfMoP0OmEik/bvYf3ZjTEtWl1n8POBEPAWcDSwI3G0dN8Piz/myZumE9UyUgLdKe1RyXvtBnDNuQPYvktbv+MZY4zv6irwO6rqLgAiMheIm0U+nr7rDr5561WQZNJTcijoqkT2vYgFf92BtKCNtRtjDNRd4EPrb6hqOB7az6gqs0ePpGz1jwQCmUQyw7ya3puB/zeQE3bv6iwmGk0AAA2NSURBVHc8Y4yJK3UV+N1EpMS9LUC6e18AVdUmHQdRVe4eNpSqopWkBPIp6VnDi8kDmDl0ADt3bRELTBljTL1stsCratyMdWg0yt1Dh1BV8jtpgZ4UbRPm2bRTWDCkP70zM/yOZ4wxcalZLCo6/5LJfxT34j5hngyewL+GHWQNwowxpg5xX+A/efZ5ClZ8SUqgB4XbhXkoNICHL9jHirsxxmxBXHfbCtVU89qCOUigA6Xdivh35T4MPXQH9sjv4Hc0Y4yJe3F9Bv/0LTNQraJ1cmckOUBq23yGH7KN37GMMaZZiNsz+GgkworPPiQpKY+V20eYGf0L5+7fw1r8GmOMR3F7Bv/5y6+iWk0ayXQrU5KDKZy2dze/YxljTLMRtwX+rYWPgrSmOGctizufSr+OnWiXHndNLI0xJm7F5XhHNBqhqqyAFOlCdWZXPlibxj7Wy90YY+olLgv8799/B4QJEqVHYTmALdZhjDH1FJcF/rP/vAxANL2Y8t69SE0OsGuetSMwxpj6iMsx+O8+/gAJdKQgN8QP9GOHnKCtyGSMMfUUl2fwoaoSgtKBSNtcviuK0t2uWjXGmHqLuwJfUVyEaojkaIDcwigri6rI72gF3hhj6ivuCvzq5csBCASqyW5VRSSqdLMCb4wx9RZ3BX7Fp58DEEkrp+3O2wLQrYMVeGOMqa+4K/A/fPYJSBqVbSsobr83gHWONMaYBoi7Al+y5ncCgU6Ud0rh66qOBJOELm3T/I5ljDHNTtwV+EionKC2IjUpk58Kq8jr0IqkgP/rwRpjTHMTVwU+Eg4DEZIVuhaH+aWwkrwO6X7HMsaYZimuCny4uhqAQFIVWZnKquIqG54xxpgGiqsCX11RAUA4vYze/XZhTVk12VbgjTGmQeKqwNdUVoJkUNauirbd9iMSVbLapvodyxhjmqW4KvCRSJhAoCMlnVuzOikXgKw2dgZvjDENEV/NxjRKiqaSEmjL6goFsDN4Y4xpoLg6gwdIViVvXRWrSqoAbAzeGGMaKO4KPMkV5HasZlWJM6MmM8PO4I0xpiHirsBXti1lp0P2ZnVpFR1bp5CSHHcRjTGmWYhp9RSRASLytYh8JyKTt/yCIMWdo+T1OYxVJdVktbGzd2OMaaiYFXgRSQJmAkcDOwJniMiOdb6GAKF2uUiH7qwprSLLxt+NMabBYnkG3w/4TlV/UNUa4FHghLpeIAo5RUEQsTN4Y4zZSqKqsdmxyCnAAFW9wL0/ENhHVUdutN0QYIh7dzvg61pPdwbWxiRg82PHYgM7FhvYsdigpR6L7qqauaknfJ8Hr6qzgdmbek5EPlLVvk0cKS7ZsdjAjsUGdiw2sGPxv2I5RPMr0K3W/Tz3MWOMMU0glgX+Q6CPiPQUkRTg/4CnYvh+xhhjaonZEI2qhkVkJPACkATcr6pf1HM3mxy6aaHsWGxgx2IDOxYb2LHYSMx+yWqMMcZfdpmoMcYkKCvwxhiToOKywNe7xUECEZFuIvKaiHwpIl+IyBj38Y4i8pKIfOv+3cHvrE1FRJJE5BMReca931NE3nc/H/90f4mf8ESkvYj8S0S+EpFlIrJfS/1ciMg49//H5yLyiIiktdTPRV3irsA3pMVBggkD41V1R2BfYIT7758MvKKqfYBX3PstxRhgWa3704AZqroNUAic70uqpnc78Lyqbg/shnNMWtznQkS6AqOBvqq6M84kjv+j5X4uNivuCjwNaHGQSFT1N1X92L1divOfuCvOMZjvbjYfONGfhE1LRPKAY4A57n0BDgP+5W7SIo6FiLQDDgLmAqhqjaoW0UI/FzgzANNFJBloBfxGC/xcbEk8FviuwM+17v/iPtbiiEgPYA/gfSBbVX9zn/odyPYpVlO7DZgERN37nYAiVQ2791vK56MnsAaY5w5XzRGR1rTAz4Wq/grcDPyEU9iLgcW0zM9FneKxwBtARDKAx4GxqlpS+zl15rYm/PxWETkWWK2qi/3OEgeSgT2BWaq6B1DORsMxLehz0QHnJ5eeQC7QGhjga6g4FY8FvsW3OBCRIE5xf0hVn3AfXiUiOe7zOcBqv/I1oQOA40VkBc5Q3WE449Dt3R/NoeV8Pn4BflHV9937/8Ip+C3xc3EEsFxV16hqCHgC57PSEj8XdYrHAt+iWxy4Y8xzgWWqemutp54CznFvnwM82dTZmpqqXqKqearaA+dz8Kqqngm8BpzibtZSjsXvwM8isp370OHAl7TAzwXO0My+ItLK/f+y/li0uM/FlsTllawi8lecsdf1LQ6u8zlSkxGR/sBbwFI2jDtPwRmHXwjkAz8Cp6nqOl9C+kBEDgEmqOqxItIL54y+I/AJcJaqVvuZrymIyO44v2xOAX4AzsM5SWtxnwsRuQo4HWfW2SfABThj7i3uc1GXuCzwxhhjtl48DtEYY4xpBFbgjTEmQVmBN8aYBGUF3hhjEpQVeGOMSVBW4BOMiERE5FMR+UxEPhaR/bdiX1eLyBFb8fp3G/raerzHIyKyRETGxWDf9covIg+IyCmbePx1EWmUxaBFpGwLz/cQkc/ruc9N5jbNX8yW7DO+qVTV3QFE5C/ADcDBDdmRql6xNUFUtcHfXLwQkS7A3m73wMbcb7KqhmOd35hYszP4xNYWp20qACIyUUQ+dM94r6r1+OVu//233TPiCe7jf5zZicgKEbnK/algqYhs7z4+VUTud89SfxCR0bX2W+b+fYj7/Ppe5g+5VyAiIn91H1ssInes7/lem9vre577vp+IyKHuUy8CXd2fWA7c6DUPiMg9IvKRiHzj9rVZ31v+plrHYWitjG+JyFM4V0XWzi/uaz53M5xe6/G73GP3MpBVx9dioJvzcxHp576+n4i85/6b3l1/laqInCsiT4jI8+L0eZ++iWPS2X3tMZt4r2T3GC9zj3kr9zVXuP/uz0Vk9vqvwUb73eQ27tdvmoh84B7PA2sdz5vd7ZeIyCj38b1E5A336/qCbGinMFqctQ6WiMijdRwv0xhU1f4k0B8gAnwKfIXTZW8v9/GjcBYlFpxv7M/gtJ/d290+DWgDfItzxSjAA8Ap7u0VwCj39nBgjnt7KvAukAp0BgqAoPtcmfv3IW6WPPe93wP6u+/5M9DT3e4R4JlN/JvG41zRDLA9zqXqaUAP4PPNHIcHgOfd9+uD08slDRgCXOZukwp8hNO06hCcBl49a+1jff6TgZdwrqzOdt8/B/hbrcdzgaL1x2ujLK8D97m3D1qfGecbcLJ7+wjgcff2uThXqrZzM/8IdFufyc3wPnDkJt6rB07DsQPc+/fX+np2rLXdAuC4TXydN7fN68At7u2/Ai+7ty/E6Yuz/t/REQi6n4lM97HTa339VgKp7u32fv9/SfQ/NkSTeGoP0ewH/ENEdsYp8EfhXMINkIFT+NoAT6pqFVAlIk/Xse/1jc8W4xS39Z5V55LwahFZjVOAftnotR+o6i9urk9xClEZ8IOqLne3eQSnAG+sP3AngKp+JSI/AtsCJZvYtraFqhoFvhWRH3C+ORwF7Cobxpzb4RyHGjfj8k3spz/wiKpGcJp7vYHzjfGgWo+vFJFX68jyiJv/TRFpKyLtcY79fBHpg1OUg7W2f0VViwFE5EugO843wyDOwh4jVPWNzbzXz6r6jnv7QZzFMW4GDhWRSTj90zsCXwAbf73r2qb217+He/sI4B512/Sq6jr387Yz8JL7A0ASTltfgCXAQyLyb+Dfmz9cpjFYgU9gqvqeiHQGMnHO3G9Q1XtrbyMiY+uxy/V9PSL8+bNTu9/Hxs/VZ5vGtnEfDsU5DqNU9YXaT4jT66a8ibNcA7ymqieJ0/v/9VrPb+54hXEK7F+AzRX4/3kvEUkD7sZZBelnEZmK89PBHzxss7mv/8YE+EJV99vEc8fgfGM8DrhURHbRDT3cTSOzMfgEJs44eRLOsMkLwCBx+swjIl1FJAt4BzjOHefOAI5twohfA73c4gbOj/Kb8hZwJoCIbIvTWOtrD/s/VUQCItIb6OW+5gXgQnFaMiMi24qzcEZd3gJOd8ebM3EK1AfAm7UezwEOrWMf68ft+wPF7tl5Oza0tD3Xw78HnOI9CNheRC7ezDb57k9vAH8H3mZDoV7rfp03NWvGyzYbewkYKm6bXhHpiHOcM9dnEJGgiOwkIgGcoabXgItx/v0ZHt7DNJCdwSeedHcIBJwzqXPcIYQXRWQH4D33x+YynG57H4rzi8UlwCqcLpbFTRFUVStFZDjwvIiU47SK3pS7gVkishTnDPZcVa3exO8IN/YTTiFuCwxT1SoRmYMzvPCx+wvENWx5abdFwH7AZzgFdpKq/i4ii3B61H/pvtd7deyjSkQ+wRliGeQ+Nh1niOYy4Nkt/WPWU9WIiJwBPCUipap690abfI2zlu/9brZZqlohIvcBn+Os/PQ/x1pVi7a0zSbMwRkuWyIiIZzfNdzlDoHdIc5Sg8k43WG/AR50HxPgDnWWHTQxYt0kDSKSoapl7myLN4Eh6q4L24TvLTiLrX+rqjMaYb8P4PzC9l9b2taYRGVDNAZgtnvW/zHOTI4mKe6uwe57f4HzI/u9W9jeGOORncEbY0yCsjN4Y4xJUFbgjTEmQVmBN8aYBGUF3hhjEpQVeGOMSVD/D9hlK8tedkL9AAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the marginal value function at various transitory productivity shocks\n", + "pseudo_inverse = True\n", + "TranShkSet = LaborIntMargExample.TranShkGrid[t]\n", + "bMin = bMin_orig\n", + "B = np.linspace(0.0, bMax, 300)\n", + "for Shk in TranShkSet:\n", + " B_temp = B + LaborIntMargExample.solution[t].bNrmMin(Shk)\n", + " if pseudo_inverse:\n", + " vP = LaborIntMargExample.solution[t].vPfunc.cFunc(\n", + " B_temp, Shk * np.ones_like(B_temp)\n", + " )\n", + " else:\n", + " vP = LaborIntMargExample.solution[t].vPfunc(B_temp, Shk * np.ones_like(B_temp))\n", + " bMin = np.minimum(bMin, B_temp[0])\n", + " plt.plot(B_temp, vP)\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "if pseudo_inverse:\n", + " plt.ylabel(\"Pseudo inverse marginal value\")\n", + "else:\n", + " plt.ylabel(\"Marginal value\")\n", + "plt.xlim(bMin, bMax - bMin_orig + bMin)\n", + "plt.ylim(0.0, None)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Simulating 10000 intensive-margin labor supply consumers for 120 periods took 1.7132 seconds.\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "if do_simulation:\n", + " t_start = process_time()\n", + " LaborIntMargExample.T_sim = 120 # Set number of simulation periods\n", + " LaborIntMargExample.track_vars = [\"bNrmNow\", \"cNrmNow\"]\n", + " LaborIntMargExample.initializeSim()\n", + " LaborIntMargExample.simulate()\n", + " t_end = process_time()\n", + " print(\n", + " \"Simulating \"\n", + " + str(LaborIntMargExample.AgentCount)\n", + " + \" intensive-margin labor supply consumers for \"\n", + " + str(LaborIntMargExample.T_sim)\n", + " + \" periods took \"\n", + " + mystr(t_end - t_start)\n", + " + \" seconds.\"\n", + " )\n", + "\n", + " N = LaborIntMargExample.AgentCount\n", + " CDF = np.linspace(0.0, 1, N)\n", + "\n", + " plt.plot(np.sort(LaborIntMargExample.cNrmNow), CDF)\n", + " plt.xlabel(\n", + " \"Consumption cNrm in \" + str(LaborIntMargExample.T_sim) + \"th simulated period\"\n", + " )\n", + " plt.ylabel(\"Cumulative distribution\")\n", + " plt.xlim(0.0, None)\n", + " plt.ylim(0.0, 1.0)\n", + " plt.show()\n", + "\n", + " plt.plot(np.sort(LaborIntMargExample.LbrNow), CDF)\n", + " plt.xlabel(\n", + " \"Labor supply Lbr in \" + str(LaborIntMargExample.T_sim) + \"th simulated period\"\n", + " )\n", + " plt.ylabel(\"Cumulative distribution\")\n", + " plt.xlim(0.0, 1.0)\n", + " plt.ylim(0.0, 1.0)\n", + " plt.show()\n", + "\n", + " plt.plot(np.sort(LaborIntMargExample.aNrmNow), CDF)\n", + " plt.xlabel(\n", + " \"End-of-period assets aNrm in \"\n", + " + str(LaborIntMargExample.T_sim)\n", + " + \"th simulated period\"\n", + " )\n", + " plt.ylabel(\"Cumulative distribution\")\n", + " plt.xlim(0.0, 20.0)\n", + " plt.ylim(0.0, 1.0)\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "# Make and solve a labor intensive margin consumer with a finite lifecycle\n", + "LifecycleExample = LaborIntMargConsumerType(**init_labor_lifecycle)\n", + "LifecycleExample.cycles = (\n", + " 1 # Make this consumer live a sequence of periods exactly once\n", + ")" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Solving a lifecycle labor intensive margin consumer took 0.05799699999999941 seconds.\n" + ] + } + ], + "source": [ + "start_time = process_time()\n", + "LifecycleExample.solve()\n", + "end_time = process_time()\n", + "print(\n", + " \"Solving a lifecycle labor intensive margin consumer took \"\n", + " + str(end_time - start_time)\n", + " + \" seconds.\"\n", + ")\n", + "LifecycleExample.unpack('cFunc')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "bMax = 20.0" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the consumption function in each period of the lifecycle, using median shock\n", + "B = np.linspace(0.0, bMax, 300)\n", + "b_min = np.inf\n", + "b_max = -np.inf\n", + "for t in range(LifecycleExample.T_cycle):\n", + " TranShkSet = LifecycleExample.TranShkGrid[t]\n", + " Shk = TranShkSet[int(len(TranShkSet) // 2)] # Use the median shock, more or less\n", + " B_temp = B + LifecycleExample.solution[t].bNrmMin(Shk)\n", + " C = LifecycleExample.solution[t].cFunc(B_temp, Shk * np.ones_like(B_temp))\n", + " plt.plot(B_temp, C)\n", + " b_min = np.minimum(b_min, B_temp[0])\n", + " b_max = np.maximum(b_min, B_temp[-1])\n", + "plt.title(\"Consumption function across periods of the lifecycle\")\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "plt.ylabel(\"Normalized consumption level\")\n", + "plt.xlim(b_min, b_max)\n", + "plt.ylim(0.0, None)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the marginal consumption function in each period of the lifecycle, using median shock\n", + "B = np.linspace(0.0, bMax, 300)\n", + "b_min = np.inf\n", + "b_max = -np.inf\n", + "for t in range(LifecycleExample.T_cycle):\n", + " TranShkSet = LifecycleExample.TranShkGrid[t]\n", + " Shk = TranShkSet[int(len(TranShkSet) // 2)] # Use the median shock, more or less\n", + " B_temp = B + LifecycleExample.solution[t].bNrmMin(Shk)\n", + " MPC = LifecycleExample.solution[t].cFunc.derivativeX(\n", + " B_temp, Shk * np.ones_like(B_temp)\n", + " )\n", + " plt.plot(B_temp, MPC)\n", + " b_min = np.minimum(b_min, B_temp[0])\n", + " b_max = np.maximum(b_min, B_temp[-1])\n", + "plt.title(\"Marginal consumption function across periods of the lifecycle\")\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "plt.ylabel(\"Marginal propensity to consume\")\n", + "plt.xlim(b_min, b_max)\n", + "plt.ylim(0.0, 1.0)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the labor supply function in each period of the lifecycle, using median shock\n", + "B = np.linspace(0.0, bMax, 300)\n", + "b_min = np.inf\n", + "b_max = -np.inf\n", + "for t in range(LifecycleExample.T_cycle):\n", + " TranShkSet = LifecycleExample.TranShkGrid[t]\n", + " Shk = TranShkSet[int(len(TranShkSet) // 2)] # Use the median shock, more or less\n", + " B_temp = B + LifecycleExample.solution[t].bNrmMin(Shk)\n", + " L = LifecycleExample.solution[t].LbrFunc(B_temp, Shk * np.ones_like(B_temp))\n", + " plt.plot(B_temp, L)\n", + " b_min = np.minimum(b_min, B_temp[0])\n", + " b_max = np.maximum(b_min, B_temp[-1])\n", + "plt.title(\"Labor supply function across periods of the lifecycle\")\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "plt.ylabel(\"Labor supply\")\n", + "plt.xlim(b_min, b_max)\n", + "plt.ylim(0.0, 1.01)\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the marginal value function at various transitory productivity shocks\n", + "pseudo_inverse = True\n", + "TranShkSet = LifecycleExample.TranShkGrid[t]\n", + "B = np.linspace(0.0, bMax, 300)\n", + "b_min = np.inf\n", + "b_max = -np.inf\n", + "for t in range(LifecycleExample.T_cycle):\n", + " TranShkSet = LifecycleExample.TranShkGrid[t]\n", + " Shk = TranShkSet[int(len(TranShkSet) / 2)] # Use the median shock, more or less\n", + " B_temp = B + LifecycleExample.solution[t].bNrmMin(Shk)\n", + " if pseudo_inverse:\n", + " vP = LifecycleExample.solution[t].vPfunc.cFunc(\n", + " B_temp, Shk * np.ones_like(B_temp)\n", + " )\n", + " else:\n", + " vP = LifecycleExample.solution[t].vPfunc(B_temp, Shk * np.ones_like(B_temp))\n", + " plt.plot(B_temp, vP)\n", + " b_min = np.minimum(b_min, B_temp[0])\n", + " b_max = np.maximum(b_min, B_temp[-1])\n", + "plt.xlabel(\"Beginning of period bank balances\")\n", + "if pseudo_inverse:\n", + " plt.ylabel(\"Pseudo inverse marginal value\")\n", + "else:\n", + " plt.ylabel(\"Marginal value\")\n", + "plt.title(\"Marginal value across periods of the lifecycle\")\n", + "plt.xlim(b_min, b_max)\n", + "plt.ylim(0.0, None)\n", + "plt.show()" + ] + } + ], + "metadata": { + "jupytext": { + "cell_metadata_filter": "-all", + "formats": "ipynb,py:light", + "notebook_metadata_filter": "all" + }, + "kernelspec": { + "display_name": "Python 3", + "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": "3.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/examples/ConsumptionSaving/example_ConsLaborModel.py b/examples/ConsumptionSaving/example_ConsLaborModel.py index cf1bd2e60..d484aea8a 100644 --- a/examples/ConsumptionSaving/example_ConsLaborModel.py +++ b/examples/ConsumptionSaving/example_ConsLaborModel.py @@ -1,6 +1,30 @@ -""" -Example implementations of the intensive margin labor supply model in ConsLaborModel.py. -""" +# --- +# jupyter: +# jupytext: +# cell_metadata_filter: -all +# formats: ipynb,py:light +# notebook_metadata_filter: all +# text_representation: +# extension: .py +# format_name: light +# format_version: '1.4' +# jupytext_version: 1.2.3 +# kernelspec: +# display_name: Python 3 +# 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: 3.7.6 +# --- + from HARK.ConsumptionSaving.ConsLaborModel import ( LaborIntMargConsumerType, init_labor_lifecycle, @@ -151,8 +175,6 @@ plt.ylim(0.0, 1.0) plt.show() -############################################################################### - # Make and solve a labor intensive margin consumer with a finite lifecycle LifecycleExample = LaborIntMargConsumerType(**init_labor_lifecycle) LifecycleExample.cycles = ( @@ -167,7 +189,7 @@ + str(end_time - start_time) + " seconds." ) -LifecycleExample.unpackcFunc() +LifecycleExample.unpack('cFunc') bMax = 20.0 diff --git a/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb b/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb index d8a32cb7b..d9d71346d 100644 --- a/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb +++ b/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb @@ -59,7 +59,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving a tractable consumption-savings model took 0.0035481960000001145 seconds.\n" + "Solving a tractable consumption-savings model took 0.002909999999999968 seconds.\n" ] } ], @@ -83,7 +83,7 @@ "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -108,7 +108,22 @@ "metadata": { "lines_to_next_cell": 2 }, - "outputs": [], + "outputs": [ + { + "ename": "TypeError", + "evalue": "draw() got an unexpected keyword argument 'seed'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0msimulation_values\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Set attributes needed for simulation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrack_vars\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"mLvlNow\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmakeShockHistory\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minitializeSim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msimulate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/dev/HARK/HARK/core.py\u001b[0m in \u001b[0;36mmakeShockHistory\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 485\u001b[0m '''\n\u001b[1;32m 486\u001b[0m \u001b[0;31m# Re-initialize the simulation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 487\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minitializeSim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 488\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 489\u001b[0m \u001b[0;31m# Make blank history arrays for each shock variable (and mortality)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/dev/HARK/HARK/core.py\u001b[0m in \u001b[0;36minitializeSim\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 430\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt_age\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mAgentCount\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Number of periods since agent entry\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 431\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt_cycle\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mAgentCount\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Which cycle period each agent is on\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 432\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msimBirth\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_agents\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 433\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclearHistory\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 434\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/dev/HARK/HARK/ConsumptionSaving/TractableBufferStockModel.py\u001b[0m in \u001b[0;36msimBirth\u001b[0;34m(self, which_agents)\u001b[0m\n\u001b[1;32m 372\u001b[0m \u001b[0mN\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mwhich_agents\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Number of new consumers to make\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 373\u001b[0m self.aLvlNow[which_agents] = Lognormal(self.aLvlInitMean,\n\u001b[0;32m--> 374\u001b[0;31m sigma=self.aLvlInitStd).draw(N,seed=self.RNG.randint(0,2**31-1))\n\u001b[0m\u001b[1;32m 375\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0meStateNow\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwhich_agents\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1.0\u001b[0m \u001b[0;31m# Agents are born employed\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 376\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt_age\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwhich_agents\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;31m# How many periods since each agent was born\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mTypeError\u001b[0m: draw() got an unexpected keyword argument 'seed'" + ] + } + ], "source": [ "if do_simulation:\n", " ExampleType(**simulation_values) # Set attributes needed for simulation\n", @@ -192,7 +207,7 @@ "t_start = process_time()\n", "MarkovType.solve()\n", "t_end = process_time()\n", - "MarkovType.unpackcFunc()" + "MarkovType.unpack('cFunc')" ] }, { @@ -204,12 +219,12 @@ "name": "stdout", "output_type": "stream", "text": [ - "Solving the same model \"the long way\" took 1.670633704 seconds.\n" + "Solving the same model \"the long way\" took 1.178989 seconds.\n" ] }, { "data": { - "image/png": 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\n", 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\n", 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\n", 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\n", 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" ] @@ -249,18 +264,12 @@ "print(\"Difference between the (employed) consumption functions:\")\n", "plotFuncs(diffFunc, 0, m_upper)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "jupytext": { "cell_metadata_filter": "-all", + "formats": "ipynb,py", "main_language": "python", "notebook_metadata_filter": "-all" }, @@ -279,7 +288,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.7.6" } }, "nbformat": 4, diff --git a/examples/ConsumptionSaving/example_TractableBufferStockModel.py b/examples/ConsumptionSaving/example_TractableBufferStockModel.py index b625420fb..2a6a05bdd 100644 --- a/examples/ConsumptionSaving/example_TractableBufferStockModel.py +++ b/examples/ConsumptionSaving/example_TractableBufferStockModel.py @@ -1,14 +1,14 @@ -# %% import numpy as np # numeric Python +from HARK.distribution import DiscreteDistribution from HARK.utilities import plotFuncs # basic plotting tools from HARK.ConsumptionSaving.ConsMarkovModel import ( MarkovConsumerType, ) # An alternative, much longer way to solve the TBS model from time import process_time # timing utility from HARK.ConsumptionSaving.TractableBufferStockModel import TractableConsumerType +import numpy as np do_simulation = True -# %% # Define the model primitives base_primitives = { "UnempPrb": 0.00625, # Probability of becoming unemployed @@ -18,7 +18,6 @@ "CRRA": 1.0, } # Coefficient of relative risk aversion -# %% # Define a dictionary to be used in case of simulation simulation_values = { "aLvlInitMean": 0.0, # Mean of log initial assets for new agents @@ -28,7 +27,6 @@ "T_cycle": 1, } # Number of periods in the cycle -# %% # Make and solve a tractable consumer type ExampleType = TractableConsumerType(**base_primitives) t_start = process_time() @@ -40,14 +38,12 @@ + " seconds." ) -# %% # Plot the consumption function and whatnot m_upper = 1.5 * ExampleType.mTarg conFunc_PF = lambda m: ExampleType.h * ExampleType.PFMPC + ExampleType.PFMPC * m # plotFuncs([ExampleType.solution[0].cFunc,ExampleType.mSSfunc,ExampleType.cSSfunc],0,m_upper) plotFuncs([ExampleType.solution[0].cFunc, ExampleType.solution[0].cFunc_U], 0, m_upper) -# %% if do_simulation: ExampleType(**simulation_values) # Set attributes needed for simulation ExampleType.track_vars = ["mLvlNow"] @@ -56,7 +52,6 @@ ExampleType.simulate() -# %% # Now solve the same model using backward induction rather than the analytic method of TBS. # The TBS model is equivalent to a Markov model with two states, one of them absorbing (permanent unemployment). MrkvArray = np.array( @@ -97,29 +92,29 @@ "MrkvArray": [MrkvArray], # State transition probabilities } MarkovType = MarkovConsumerType(**init_consumer_objects) # Make a basic consumer type -employed_income_dist = [ +employed_income_dist = DiscreteDistribution( np.ones(1), + [ + np.ones(1), + np.ones(1), +]) # Income distribution when employed +unemployed_income_dist = DiscreteDistribution( np.ones(1), - np.ones(1), -] # Income distribution when employed -unemployed_income_dist = [ - np.ones(1), - np.ones(1), - np.zeros(1), -] # Income distribution when permanently unemployed + [ + np.ones(1), + np.zeros(1), +]) # Income distribution when permanently unemployed MarkovType.IncomeDstn = [ [employed_income_dist, unemployed_income_dist] ] # set the income distribution in each state MarkovType.cycles = 0 -# %% # Solve the "Markov TBS" model t_start = process_time() MarkovType.solve() t_end = process_time() -MarkovType.unpackcFunc() +MarkovType.unpack('cFunc') -# %% print( 'Solving the same model "the long way" took ' + str(t_end - t_start) + " seconds." ) diff --git a/examples/Journeys/Quickstart_tutorial/Quick_start_with_solution.ipynb b/examples/Journeys/Quickstart_tutorial/Quick_start_with_solution.ipynb index 3efd074fd..71c32525f 100644 --- a/examples/Journeys/Quickstart_tutorial/Quick_start_with_solution.ipynb +++ b/examples/Journeys/Quickstart_tutorial/Quick_start_with_solution.ipynb @@ -94,9 +94,9 @@ "outputs": [], "source": [ "\n", - "import sys \n", - "import os\n", - "sys.path.insert(0, os.path.abspath('../../../.'))\n", + "# import sys \n", + "# import os\n", + "# sys.path.insert(0, os.path.abspath('../../../.'))\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import HARK \n", @@ -355,7 +355,7 @@ }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -376,13 +376,13 @@ "name": "stderr", "output_type": "stream", "text": [ - "/home/sb/projects/econ-ark/HARK/HARK/utilities.py:141: RuntimeWarning: divide by zero encountered in reciprocal\n", + "/Users/ms/dev/HARK/HARK/utilities.py:141: RuntimeWarning: divide by zero encountered in reciprocal\n", " return( c**(1.0 - gam) / (1.0 - gam) )\n" ] }, { "data": { - "image/png": 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\n", 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" ] @@ -499,12 +499,12 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -537,12 +537,12 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -591,7 +591,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [], "source": [ @@ -622,7 +622,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": { "solution": "hidden" }, @@ -650,7 +650,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [], "source": [ @@ -669,7 +669,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": { "scrolled": true, "solution": "hidden" @@ -682,9 +682,17 @@ "Value function\n" ] }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/ms/dev/HARK/HARK/utilities.py:141: RuntimeWarning: divide by zero encountered in reciprocal\n", + " return( c**(1.0 - gam) / (1.0 - gam) )\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -718,7 +726,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ @@ -752,7 +760,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": { "solution": "hidden" }, @@ -784,7 +792,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ @@ -792,7 +800,7 @@ ] }, { - "cell_type": "raw", + "cell_type": "markdown", "metadata": { "solution": "hidden", "solution_first": true @@ -803,7 +811,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": { "solution": "hidden" }, @@ -828,7 +836,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "metadata": {}, "outputs": [], "source": [ @@ -854,14 +862,14 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "metadata": { "solution": "hidden" }, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -949,7 +957,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "metadata": {}, "outputs": [], "source": [ @@ -979,7 +987,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": {}, "outputs": [], "source": [ @@ -1001,7 +1009,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ @@ -1020,7 +1028,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": { "solution": "hidden" }, @@ -1050,16 +1058,16 @@ "\n", "To see this, just follow an example. We plot the consumption functions for each age $t$ of the consumer. \n", "\n", - "To get better access to the consumption functions, you can use $\\texttt{unpackcFunc()}$ method, which will create the attribute $\\texttt{cFunc}$ of the object (so you do not have to use is as a solution attribute).\n" + "To get better access to the consumption functions, you can use $\\texttt{unpack('cFunc')}$ method, which will create the attribute $\\texttt{cFunc}$ of the object (so you do not have to use is as a solution attribute).\n" ] }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ - "LC_agent.unpackcFunc()" + "LC_agent.unpack('cFunc')" ] }, { @@ -1071,7 +1079,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 31, "metadata": { "scrolled": true }, @@ -1085,7 +1093,7 @@ }, { "data": { - "image/png": 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GgjGuuXM7mTYTd1xxAg7L2oiTpK64w+3jK/0jKKX4VF0p764sxLJIM9GHY218Z4UQy2qmaGknU5EkD73nFEqctpVe0qLY7g9zY8cQ7eEYr83P5guN5Ys+E304JKiFEAui64qPPvgce9zTfP+dW1hffvQXLU0mU/x3zzD3eicps5r5yfoa3lCwNDPRh0OCWgixIF/7fSeP7PXyyXNbeP26kpVezhFRSvHTkUlu6RnGn0rz3spC/rOmhIwlnIk+HBLUQoh5e/hZN9/5Uzfv2FrJ9acf3UVLB8JRPtHh5p/+MCdkZ/Cl5gpcyzATfTgkqIUQ87K9f5JP/Hwvp9Tl819vWb9qtgUWKpxO8/X+Ub4/NEaW0cjXmiu5uDRv2WaiD4cEtRDikAYmwly/bQcVR3nR0uPjfm7qcuOOJbm4JI9P15dRcBRMq6z+FQohVpQ/muTqO7ejgB9ddQJOx/Le7LEY3LEEn+5y89h4gOYMG788vpqTc46eLhIJaiHEK0rOFi0NTka4+5qTqC3IWOklLUhSV9zu9vE/fSMAfLqulHdXFmE+ym7MkaAWQrwspRQ3/3o/f+se5ysXbuTkuvyVXtKCPD0d4uOdbg6EY7y+IJsvNFZQaVudtauxmPegH5egFkK8rB/9rY/7nh7kvWfUc9HWypVezrxNJFJ8oXeY+72TlFvN3Lm+ljcUrr5Zb6UU09Pbcbu34Rt//KDHSlALIV7iD22j/Pf/tfOGdSV87HXNK72cedGV4gHvJF/oHSaQSvP+qiI+UlNMhnF1zUSn01FGRn6F23M3odABTCYnlZVXA598xc85ZFBrmmYD/gJYZ4//mVLq5sVatBBiddk/7OeDD+xifZmTr7/j6Chaag9F+Xinm2f8YU5yZnBbUwWtq2wmOhodwu25h+Hhh0il/GRmttDScislxedjNNo5oqAG4sBZSqmQpmlm4G+apj2qlPrnIq1fCLFKjAViXHvXDpx2M3dcuRW7ZXVdjf67cDrNV/tGud09RrbJyNdaKrm4ZPXMRCulmJx6Crf7bsbH/4imGSgsfD0VFVeQ49w671n0Qwa1UkoBodl/NM/+pQ575UKIVSmaSHPtth34ozNFS8XZq7to6TGfn091ufHEk1xaOjMTnWdeHbu5qVQI78gvcLvvJhLpwWzOo6b6vZSXX4rNVrrg883rq9I0zQjsBBqA7yqlnn6ZY64Hrgeoqlp7T3gQYi3TdcVHHtzNXo+fH16+lXVlq+/Nt38ZiiX4VKebxycCtGTY+LWrmhNXyUx0JNLHkHsbXu/DpNMhsrM24mr9H4qK3ojRePgtfPMKaqVUGjhO07Qc4Beapq1XSu37t2NuB24H2Lp1q1xxC3EU+Z/HO3h03wifPq+Vc1zFK72cl5XQdX4w5ONr/SOAxmfry7iuonDFZ6KV0pmYeJIh911MTv4VTTNTXPRGKiquwOk8blFeY0F/TlBKTWua9mfgDcC+QxwuhDgKPLRjiO/9uYdLTqzkmlfVrvRyXtY/pkN8vMNNZyTGuQVO/quxnIoVnolOJgN4vQ/hdt9DNDaI1VJMXe0NlJVfgtWyuA/3nc/URyGQnA1pO3AO8KVFXYUQYkU83TvBTb/Yy2kN+dxyweorWhpPpPivnmF+OjJJhc3Mtg21vK5gZbdlQqEO3O678Y78El2P4nRuob7+oxQWvh6DYWlur5/PFXUpcNfsPrUBeFAp9dslWY0QYtn0j4d59z07qcxz8L1Lt2A2rp6iJV0p7vdO8l89w4TSaT5QVcQNKzgTrespxsf/yJD7Lqann8ZgsFJcfD6VFZeTlbVuyV9/PlMfe4Djl3wlQohl44/MFC1pwE9WWdFSWyjKjR1D7AhEONmZwW3NFbRkrMxMdCIxyfDwg3g89xKLD2OzllFffyPlZW/HbM5dtnWsjlkWIcSySaZ13nvvToamItx77clU56+OoqVwKs1X+kf4oduH02Tkmy1VvL0kd0W2YwLBfbjddzM6+mt0PUFu7ik0NX2GgoKzmdlcWF4S1EIcQ5RSfOaX+/h7zwRfvWgTJ9bmrfSSUErx6LifT3d5GI4neWdpPjfVly77TLSuJxnzPYbbvQ2//1kMBjulpRdSUX45mZlNy7qWfydBLcQx5I6/9vHA9iHef2Y9b9tSsdLLYSAa51NdHv4wEcCVYeMH62o4wbm8V/jxuA/P8P14PPeTSIxht1fR2PhpSkvehtmcvWSvq5RibGyMtrY22traDnqsBLUQx4jH949w66PtvHFDCR997coWLSV0ne8P+fh6/wiapvG5+jKurSjEtEwz0UopAoHdDLm3MTb2KEolyc9/DRXlt5Kf/xo0bWneWFVKMTo6yv79+2lra2NiYgKA6urqg36eBLUQx4B9Hj8femA3G8udfPWilS1aemoqyCc63XRF4pxX6OSWhnLKl2kmOp2OMzb2W4bcdxMM7sVozKSi/DIqKt6Jw7E0M+RKKbxe79yV8+TkJJqmUVNTw8knn0xrayuZmZlcffXVr3gOCWoh1rgR/0zRUq7DzA+vWLmiJV8iyS09wzw0MkWVzcI9G+s4J3/pthZeKBbz4vHci2f4pySTkzgcDTQ3fZ6SkrdgMi3+7edKKTwez1w4T09Po2kadXV1nHbaabS0tJCRMf8tHglqIdawSCLFtdu2E4wleeg9p1K0AkVLulLcMzzBrb1ewmmdD1UX86HqYhxLPLc9U8z/DG733fjGH0cpRUHBWVRWXEFu7qmLPk2i6/qLwtnv92MwGKirq+P000+npaUFh8NxWOeWoBZijdJ1xYd/upu24QA/vGIrrrLluXp9oX3BCB/vdLMzEOHUnExua6qgKWNpf1i8UjF/Rfk7sdsX9w1UXdcZGhqira2N9vZ2AoEARqOR+vp6zjzzTJqbm7Hbj3wGXIJaiDXqy7/r4Hf7R/nMm1yc3bq8RUuhVJqv9M3MROeaTXy7tYoLi5d2JjoaHcLtvpth70OkUgEyM1tpbfkixcVvni3mXxy6rjM4OMj+/ftpb28nFAphNBppaGjgnHPOoampCZttcX8YSVALsQY9uGOI7z/Zw2UnVXH1aTXL9rpKKX7r8/PZbg8j8SSXl+VzU10pOUs0E/18Mf82xsefOOxi/kNJp9MMDAzMXTmHw2FMJhONjY24XC6ampqwWg+/xvRQJKiFWGP+0TPBTQ/v5dWNBXzu/HXLdmffQDTOJzvdPDEZZH2mnTvW1bBliWaiZ4r5H54t5u+dKeaved9MMb+1ZFFeI51O09fXR1tbGwcOHCASiWA2m2lqasLlctHQ0LCk4fxCEtRCrCG9vhDvuWcnNQUZfOfSzctStBTXdb43OMY3B0Yxahq3NJRxdfnSzESHw724PXe/pJi/uPiNGAxHHpqpVOpF4RyNRrFYLC8KZ4tl+etVJaiFWCOmIwmuuWsHRoPGj688Aad96YuW/jY7E90difOmwpme6FLr4gbZTDH/nxlyb3tBMf95VFRegTN70xGfP5VK0dPTQ1tbGx0dHcRiMaxWK83NzbhcLurr6zGbV7a0SoJaiDUgkdJ5zz078UxFue+6k6jKP7wxsPnyJZJ8rnuYn49OUW2zcN/GOs5a5JnopSzmTyaTLwrneDyOzWajubmZdevWUVdXh8m0euJx9axECHFYlFJ8+pd7+WfvJF9/xya21ixd0VJaKe4enuDW3mGiacWHq4v5YHUx9kXcYnlpMf9W6uv/k8LC1x1RMX8ikaC7u5u2tjY6OztJJBLY7XZcLhcul4va2tpVFc4vtDpXJYSYtx/8pZcHd7j5wFkNvPX4pSta2huMcGOHm13BCK/KyeS25goaHIszhrZUxfyJRILOzk7a2tro6uoimUzicDjYsGEDLpeLmpoajCv0MIKFkKAW4ij22L4RvvTYAc7bWMqHz1maKs5gKs2X+rz82D1OntnEd1ur+I9FmomeKeb/KW7PvcTjXmy2chrqb6TsCIr54/H4i8I5lUqRkZHBpk2bcLlcVFdXHxXh/EIS1EIcpfa6/dzw011sqsjhqxdtWvSiJaUUv/ZN89kuD2OJFFeWF/DJ2hKcizATHQjuwz20jdGx38wV8zc3ffawi/ljsRgdHR20tbXR3d1NOp0mMzOTzZs343K5qKqqwmBYPY8aWygJaiGOQiP+GNdu205+hpUfXrEVm3lxrxD7InFu6nLzp8kgGzLt/GRDLZuzj2wmWtcTjI09httzN37/sxiNDkpLL6Ki4nIyMxoXfL5oNEpHRwf79++nt7eXdDpNVlYWW7duxeVyUVlZeVSH8wtJUAtxlAnHU1xz13ZCsRQ/f9+pFGYt3k0XcV3nOwNjfGtwFLOm8YXGcq4qKziimejni/nvI5HwYbdXH3YxfyQS4cCBA7S1tdHb24uu6zidTk488URcLhfl5eVrJpxf6JBBrWlaJbANKAF04Hal1DeXemFCiJdK64obfrqbdm+AH115Ai0lizcS99fJmZnonmicC4py+HxDOSXWw5uymCnm3zVbzP/YC4r5L19wMX84HKa9vZ22tjb6+vpQSpGTk8Mpp5yCy+WirKxsRZ6ruJzmc0WdAj6qlHpW07QsYKemab9XSh382TFCiEX3pccO8Pu2UW5+s4szW4oW5Zxj8SQ3d3v4xdg0NXYLD2yq44y8w/sB8Hwx/zaCwX2HXcwfDAbnrpz7+/tRSpGXl8dpp52Gy+WitLR0TYWzUuqgHz9kUCulvIB39tdBTdPagXJAglqIZfTAM4Pc/pdeLj+5mqtOrTni86WV4i7POLf1eYmlFR+tKeYDVcXYDmMmOhYbxu25j+EXFfPfMlvMP7+97UAgMHflPDAwAEB+fj6vfvWrcblcFBcXr6lwTgcTxLqmiHdNE+uePuixC9qj1jStBjgeePplPnY9cD1AVVXVQk4rhDiEv3eP8+lf7uP0pkJufrPriAPruWCEGzuGeC4Y5fTcTL7YVEH9Amei/1XMP+Texvj47w+rmN/v98+F8+DgIACFhYW85jWvYd26dRQWFq6ZcNYTaRL9gdlwniI5EgHA4DBhbcg56Odqh7rknjtQ0zKBJ4H/Vko9fLBjt27dqnbs2DGv8wohDq7HF+Kt332K4mwbP3/fqWTbDv/uvEAqzW29Xu70jFNgMXFLQzkXFOUsKAzT6chMMb/7bkLhDkymHMrL3k55+WXzKuafnp6eewqK2+0GoLi4eO4OwcLCwsP++lYTpSuS3vBMMHdPE+/3Q0qBUcNak421MRdbYy7m0gw0g4amaTuVUltf7lzzuqLWNM0M/By491AhLYRYPFPhBFffuR2z0cCPrzrhsENaKcWvxqb5bLcHXyLFu8oL+ERdKdmm+Y/1RaODuN33HFYx/+Tk5Fw4Dw8PA1BSUsLZZ59Na2srBQVH1t2xWqSm48S7poh1TxPvnkIPpwAwlzjIPLkMW2MOllonhtnnVurpNKN93Qx3HHwneT5THxrwI6BdKfW1I/5KhBDzEk+lefc9O/H6Y9x/3UlU5h1e0VJvJM4nOof4y1SIjVl2tm2o47js+Z1LKcXk5N9mivkn/jRXzF9ZcSVO55aDXolPTEzMhbPX6wWgrKyMc845B5fLRV7e0nWSLBc9niLe65/ZZ+6aIuWLAmDIMmNrysPamIOtIRdj9kyjYDwSZrBtN57OdjwH2vB2d5CKxw/5OvO5oj4NuBzYq2na7tl/d5NS6v8O6ysTQhySUoqbHt7HM32TfPPi49hSvfBQi6V1vj04yncGx7BoGrc2lnNleQHGeWxzvLSYP39exfw+n28unEdHRwGoqKjgda97Ha2treTmHt5t4auF0hUJd3D2DcApEgNB0BWa2YCl1knGiSXYGnMxFc/8IAyO++jc83c8He0Md7ThG+wHpWZ+4FXXsv6M11Le3EppYwv/+eArf1/nM/XxN2Bt7OYLcZT43yd7+Pmzbj50diMXHFe+4M//82SAT3a66YsmeGtRDp9rKKd4HjPRLynmz96Ey/VViovOfdlifqXUXDjv378fn88HQGVlJa9//etpbW0lJ+fgb5StdqnJ2NwbgLEePyo6u51RnknWq8uxNuZgrXaiDArfQB9du55guKMNT2c7oYnxmWNtdkobmznlbRdT2tiKI7uKqbEkYwNB9j8V4MkH2qhxVbwAACAASURBVA+6BrkzUYhV5tG9Xr78WAfnbyrjhnMWdmv1yOxM9K/GpqmzW3lwUz2n52Ud9HOUSjMx8eS8i/mVUoyOjs5dOY+Pz4RRdXU15557Lq2trWRnL/8TzxeLHk0R75kZmYt1TZGeiAFgdFqwr8vH1piDtT6HtDHFcFcHw7v+jueBdrxdHSRjM1sfmXn5lDe7KGtqJauwllQqj4mhCCMDAfb+LUgqvgcAk8VAfoGRhtLoQdckQS3EKrLHPc2HH9zN8VU5fPnCjfOexkgrxU8849zW6yWpFB+rKeH9VUUHnYlOJv0Mex/C4773BcX8H6as/OKXFPMrpRgZGWH//v20tbUxOTmJpmlUV1dz0kkn0dLSQlbWwX8grFYqrZMYChLrmibeNUViKAgKNIsRa52TzFPLsDXmEjWEZ66Udz7B8H3t+Ab6UEoHTaOwqgbX6WeSW9qAyVpOcMrC+GCQHY8HScZ8gA+jSSPPqajNmiZL9eEYeA5z9y60dOqQa5SgFmKVGJ6Ocs1dO8jPsHL75fMvWtodiHBj5xB7glHOyM3ii00V1Dpeuf8jFOpgyL2NkZFfHbSYXynF8PDw3JXz1NQUmqZRW1vLqaeeSktLC5mZmUf8dS83pRSp8ejcG4DxXj8qngYNLBVZZJ1ZiaU+mwBTDHW3M7yzHc99bQTHZ7Z1TFYrpQ3NHPeGt2LLrCadLmTSm6J/f5CO7SlgFIMBcjOTVBonyIp1Ye/dic3Xg0HpM4soKyZcVYD7guPozU+xO3sarj/wimuWoBZiFZgpWtpBNJHmnveeNK+iJX8yxRf7RrjLM06RxcQP1lVzfuHLz0TPFPP/gSH3trli/pLiC6iouJysLNcLjtPxeDxz4ez3+zEYDNTV1fHqV7+a5uZmMjKW5sniSykdTs5sZ3TOzDSnp2cmLYx5NhzHFWKqzmBKjdHT145nexve+zpIRGduSMnIzaO4tpmaTeegmcqIBrLxDUXw/TMJgEEbw2mLURIfJXP8AI6B3WSEhjGoNMpuI1ZTjG+Dg76CJvbk+Nnp8BGxTQATGDBQZcuj1njw7+m8b3hZCLnhRYj5S+uKd9+9gycOjPHjq07gjOaDd3gopfjF2DQ3d3uYSKS4uqKAj9eWkvUyM9EvV8xfUX7Zi4r5dV3H7XbPhXMgEMBgMFBfX4/L5aK5uRmHY2mfwbjYVEonPhCYm85IekIz2xk2I9b6HLQyMxNqBLe7jeGOdsb6e1H6zDZGXmklzpJ6zLYKkskipkaMxEIz2xMaimxTmOyIh4zh/WROdJEZGkYjTaIkl4nyLAaKYF9OiOeyp/HlgNI0TJqRGksO9VioS8SpC01RP+2lOpHgX48C1j4fOLIbXoQQS+eL/9fOH9rH+Pz56w4Z0t2RGJ/sdPPXqRDHZTm4d2MdG7NeGqKBwF7c7m2Mjv12tpj/VJqbbqag4Cw0zYiu6/T399PW1kZ7ezvBYBCj0UhDQwNnn302TU1N2O0Hv4llNVFKkRqLzO0zx3v9qKQOBrBUZmPcms2k8jIwvA/P0+0EfDOjgyaLhZySWirWnYNSpYT9uURCBiJ9M6GcyTR5gQEyR9rJCg6SGfaAzcBkRTbuSiNPbAjTlqsYKjQQtwSwaRFqTZnUpzUujlmpGx+jPhahIpXCBCSNDiZtVXiM9ew2n8a2dCHPRQroVyXAO17x65OgFmIF3ff0IHf8rY8rT6nmyoMULUXTOt8aGOW7g2PYjBq3NVVweVn+i2ai54r53dvwB3a9pJg/nU7T3z/I/v37aW9vJxwOYzKZaGhoYN26dTQ2NmKzLc4zEJdDOpggPjuZEeueRg8kADDm29DrTEzoXvpH9+B+Zj/xSBgAa4aTrIIaiuu3EIsWEIvkEgoaCQUVGelpnFO7qJjqnQnliIdIoQV3sYntzTE68uMMFGlMZOtkGkLUaVbqkzoXhGLUTQapTyYpTaVRmokpazkeQzld6Y38JFHAgWQxvaoEHzkQ1ih12qjKc1BV4+B1+Q6q8jO44Euv/LVKUAuxQv7WNc5nfrWPM5oL+cybXK943BMTAW7qctMfTfC24lxuri+j6AUz0fH4GB7P/XiG739RMX9Z6YVomoP+/n7+1PYb2tvbiUQimEwmmpqacLlcNDY2YrUu3oMHlpJKpon3BYh1zzTOJb0z4avZjCTz00xmeOkd2c3Qrv3o6TQAjpwSHDkuzI5CEokSMDgJBTQciQlypnrJCj5JVnAQiz7KWJGiKz9BT1WK/iINdwFkWgzU6Tp1sRivi/ipiySp86coTOv4zcW4DWV0pRv5c6yQH+kl9KoShlUBxqR5JoiLHFTlOXhDvoPq/JlfV+Q6FvxEHglqIVZA91iI9967k4bCTL59yfGYXmaMzhtP8NmuYX7jm6bebuWhTfW8enYm+hWL+SuuIMd5Gn19/TzyyBMcOHCAaDSK2WymubkZl8tFQ0MDFovlJa+32ihdkRwJz9xo0vWCUiMDJJ1pJpxeekd34+5rQ6EwGM3YMsuwZmwhpZdhMJaia3bU1Dh5gQGygn8iMzxE3DZCX26I3cWKgQ0wUKRhzjRSl9KpiwZ5VSLJFckkdcNJzJoTt6GUzlQTBxLF/EWV0KdKGVDFOAwZVDlnroar8xycNxvE1fkOirNsi/oMS3kzUYhlNhlO8JbvPkUkkeIX7zvtJR0eKX1mJvpLfTMz0TdUF/O+qiKsBgPpdJzRsd/gdm8jGNyP0ZhJWdlFlJRczIhXp62tjQMHDhCLxbBYLC8KZ7P58Fv3lkvaHyc2+wZgvGsaPTwzWZG0J5nQvfSOPsfwdBdplcRocmA0laJr5RhMZWjGYmxxP9nBAbKCg5iSbsYdgwzlhxko0hgo0tBzNWrScerjceqSSeqSScqTJqYopTNVTLdeQq8+G8aUkOksoHruajhjLogr8xw47Yv7/Tzi9jwhxOKIp9K8++4djARi3H/dyS8J6Wf9YT7e6WZvKMqZeTMz0TV2K7HYMN0vKObPyGikof5mwuEN7Nvbx89/9hDxeByr1UpLSwsul4u6urpVH856PE28zz931ZwamxmJSxlTTOheBib24g33EUuHMJpywVCOZj8Ti6kcW1KRHRoiIzRIXHuascwhegrDDFVDKk+n2JygLpmkNZHk3KTCFMtnaLCIvtmr4mf0Urymcuy5ZVQVzFwVV+U7eGueg+r8DMpz7FhMq+P5ixLUQiwTpRSf/PletvdP8a1LjmdL9fMFRdPJFLf2erl7eIJii5kfrqvhvIJs/P5n2NO9DZ/v9wDk558F6ky6u4088ccuEolebDYbra2trFu3jtraWkym1fu/tdIVSU+IWPcUsc4pEgMB0EFHZyLlxePvZDTWx3RiAs1YgsFUhsF2NpkqC2doFFN8kJDpb4xmD3KgMEC6OU1WRpJaPUVtMsmmRCbRWBFuXyl9qpRnVSlP2Ksw51VRWZBNZZ6D6jwHW/JnQrkw03pUPJhg9f6OCrHGfPdP3Ty8y8OHz2ni/E1lwEx4/3x0is91DzOZTHFdRSEfqcomPP5btm//VzG/kwzHW/B4GvjnP8ZJJg9gt9tZv349LpeL2tpajMaFvTm1nFKTsZlg7pgk1j0F8Znt1unEGN5IL6PRfnyJcZgNZrPhZEpUFJXw4NfaGc34HbG8SRy5ScqNSQoTZvISeVTFGxgMldIfKuWZ7Bp25NVRWpA7t01x4uwWRab16I+5o/8rEOIo8MgeL//zeCdvOa6MD57dAEBXOMYnOt08NR1ic7aDO1scOKfu4rmnZ4r5TcYagsH/oG1/BokEZGQE2LRpEy6Xi+rq6lUbznpsptQotH+MaMc4hvDMFWskFWQ02s9ItI+x+DRJQx4mrQB7sopMMghahwhnPYM5bxSjQ8eeyiYzXkQy2cywoZwprQ5/bgNFRUVUzb5xd1peBmU5tpd9M3YtkaAWYontHprmIw/uZkt1Lre9bSMxXfHNgRG+OziGw2jg5vIYJ0e+y+SeP+FHIxZbR3dXJVNTeWRmZrFpU+tcOBsMqy+QVFoRH/Qz/td2wh2T2FOZGDQDST2BLzbISHSAsXiIiG7FrEwoI+hZIczZz6GcIaJaHvF4GVFTDUnna0jkN2ItrqQ4P4Oq/JmtirwMy1GxRbFUJKiFWEKe6SjX3rWDwiwrP7h8C38LhLmp081gLMEbsya5MP4trO69+NIZDA9vZNjTgNX6/PMDKysrV104xwLT9D/5JFP/GMQSySHPUorZYEUpRSwRoj/azlgihD8RxmBKQMY4iYJxInYjJks9xuwWjAXn4CiuparQOTNFkevAblmdf0JYDSSohVgioXiKa+7cTjyZ5ptXbObj/cM84vNTZQxwk/o26wLPEgwW0Oc5jUR8A62tGzjrTBcVFRWrIpyjsSD9ux5l4Ok/ETwwjSNeT66thnxHGZnmPDLJI2z0MxjuwRefYCI9RtQRJllmxlZUi6PoBLJLGykvyqM6P4OSbBvGRZwtPpZIUAuxBNK64oP376JrLMSFb2zg8t5+kirN29WDnJv4LVO+CroDF1FbexYXnO+ivLx8Zf5orxTTk/3sfu53eJ/7O7G+PoxjRkzRMjIc9WQ5yyi1n8M6ZyGappHQ4/hiw3RE2hm3hzA011J03Ok0lZdSlecgx7H6b6Q5GklQC7EE/vuRdp44MEa2y8JdyQjHqV1cnLgHy2QZpsIvcMZrTqG0tHTZwjnon6S76xk6h/7BRN9edI8Hy3iIzGknGbFKEuZCcNZRmLmFoqJcCm3lmA0WdKUzmRynxziE2VXJuvNOoi736HxAwNFsPk8h/zHwJmBMKbV+6ZckxNErGAxy22/+yL17zKSqHKQq0rwnegevslbi2riN0tKKJQlnXVeMTQUYHTiAx70T98RzTE/1wvgY1skEjkkomHRSkKzCbq9mMms9cbsJS5GFPIuTYns1DtNMAEeIEC1IY9ucT+nJDVTJVfKKm88V9Z3Ad4BtS7sUIY5Ofr+ftrZ99A/8ikeTWfylbTN6gZVzmnv5WE0TrtpvL0o4x1Np3BMhxoZ6CHjaGB/fy1Skg0BymHQwiMGvY500UOLTaJjKxEwVgawNTGUV4rcbGSoNkGdKU2zNY4u9llxrMQApLYUqMWLfWIpzUwWmvKOnQe9YMZ+nkP9F07SapV+KEEeP6elp2tvbaW/fjlJPopeHuNNxJe5ncrBmatz1ThenlJyz4PP6I0kGJkJ4vW7CwwdI+joJBw8QTg8QNk4QTceI+42YJ02U+qDWpyieyiDmaCWYVYU/u4Lpwmz2FgbQUx6ytRjFtiTN9nKK7Cdg1EwoTUGhiYz1JWS0FmIuz0STN/lWtUXbo9Y07XrgeoCqqqrFOq0Qq8bU1NQLHlG1h7KyAxRVefm14a08kjwf864JsiwGHn3fq6jMffknoqR1xUggxsBEmOGRMcLeDtLj3Zj8PaRSvaRNo0QsQbxGCATNGKeMlI9D9Shs9imyYk6CWVUEsqrw59Yx3FhGjx5CT3lQqWEs7KbEWEGxvYYSxxuwGWbWoeWacLQWYmvKw1rrxGCVUbijybza82avqH873z1qac8Ta8XExMRcOI+MuCkoGKSmphebfZjd2incbXwvIwkHpc9NE5mK8dN3n0JLSRaDkxEGJiK4x6cJebvQx7ux+XvJjA9gMQ+TskwybknSazEzmjBjmjJS4YOqMUX1mKJiHNBsBLMq8TtrCBY3E3JUEknr6GkPemoYTXlRyWkKbRWU2mspy24kU3MCoDmM2JrysDXkYm3MweQ8Ojqnj2XSnifEAoyPj78gnEcwWyI0N43Q0LgP8BO2beL7hlv4azSXEt1A075JBn0RzswZ5fd33sKuuJsywzAG6yhOS5gpi5lei5n+PBOGaSNVPqjyWakZs3KSTyMrrJMymgllVhAobSHS4uJZawnBhAWV9qGnhjEa+klHniIVD5BrKaEsq4HK3BPJ1nPRlAZGDWutE1vjTDCbSzJkO2MNkaAWAhgbG5sL57GxMUBRVQtbT+nAZn4WjTQj0Q38Kvxm/p63EYAL+x/B3u/jodRreb3jl9Q5HqfbbOZ3ZjOJmJGaUQtVQxZqx+DCcSOF4ykMuk7aYCaUW0ukdjMjzQ10GAoIRM0olUBPeTFpo2iJ50iF3KRTcRzGLKoLN1CZeyrOVB6G1MzNMOaiDKyNOTPhXJONtsCnhoijx3zG8+4HzgAKNE1zAzcrpX601AsTYikppRhwe9m+aw+9XR1Eg1MoIGV1kFs6TG3xs+RkT6FSBuxDRkbDlXyr+goGCuuoCWyn2ncn/wjXMJG6lFzzTizTf8fWlc0FExbKRpNYZwvv0wYTsZrjiLg20e+sYVrl4A8aUAqUHsSUGsVs6cOIm7DfA0qBwUZD1RYqa8/EmcybKzUymC3YXLPB3JCDMUvG5o4V85n6uGQ5FiLEYlNK4QvFGZyY2S/unwgz7PUSG+0lOzKMlRQohV2FWG/tpra8jWBpirTZQDKq0+WFJ+MF7Ci4hGDVGZgS4xz/3Nd41YE92CMNPFvydtZN9XLrUw9i0XVUhoNk80mE1q1nJKOCqWQm01MKXVcopWOJTWN39JCZNUxoqo9YYJI4YLHaaag7gcrW83Cm8tAmdNBBCxuw1jmxNuRia8rBVOQ4pouJjmWy9SGOaomUjmc6ysBEmMHJyEwoT0ZwjwdJTA1RlnZTq/nIMSZJaQ6yNAfZ6JRoHjJNvaQLhjCXgDNTMQnsi5r5p89IYtCAyXEOzzZfRNRi56I/Pcq7fvVT7PE4o/ZcbjjrHeST4oaKPMau/AaTUTuT4wn0lIIgWFI6WbkT5JeNEA8NMuXtJTgdJQhk5uZR37SZqrwWspN5MJJCxdIwAuZyB7bTZ/aZrdXZaKvkCSNiZckzE8WqF4gl566KBycjDE6GGZiIMDAeJhkYpRovtQYvtdoI9cYRGg2jaErnALXspZEwTkAnZRtnJGuETscgrVkhXpWZosyiSCQ1ov1OnM86ye+IM6w5+MYlV7OnsZUNfV3cuPMpqvIqCOU14DUU8IXREFPpNJcFreTrBix2E7klCot1jHTCQ8DXy4S7H6XroGkUVFZT2bCeytyZYNbdMdJTcQCMOda5NwCt9TkYM1b3o7PE0jnY1IcEtVhxuq4YDcaeD+LZq+LB2avkZMRPjTZCnTZCrealxTJKg3GUCn0Yux4mpmn0mUw8Z6qiz+AiGivHkLajozNmH8Od4WbKOMwpKQcnZSfILZ5Gs6QxeQxkPqFh32FASxlINzSw7U0XcW/jOhw6XDIJGwYUk0NBUgkdHcUvs5L0GdN8sMyGy+4jMt2Pb6CTgG8MAJPFSmlDE2WNLioKmslK5JAeiJBwB0GBZjVirXNia5rZZzYV2GU7QwAS1GIViCXTuKcic/PFz18dRxiajKBScaq0Ueo0L/WGEVxWHw3GUcr1YbJTEwCENY0es4XenGJ6M3LoNZsZi9ixBHIpC5fhSDtIkyZu9VNIjCZ/jLKRECajh/DGCeLrFCiw77OQ524mO2cryapWgplV/N5g54f2JJNWjeN645z9XIRsNAqrssgvs2Iyj/OT3nH+MGXntYF/0DKxG4CMnFzKmlspb3JRVtJERjSLRE+AeK8flUiDBpbKLKyNudgac7BUZqGt8aeRiMMjQS2WnFKK6UhyJohnr4ZfGMYjgRia0inTJqjVvDSbRtlgmwnjMt2DMz6CAR2AaYOB3uxCepzF9Noy6DVCTzrEaMIPCgpiBVRFqqgMV2BKm9FQFCWi1HpHKdvbhjkUQrcpIqdA5GyNVF4CU8pBjjoLk/HtTPuL8A0G8Q0E8RkUjx3voLPCQmlE8d6YjROdkE548I/14u1sZ6y/l92OFp4sOJ2T071c06hR1txKWVUzFr+FePc08a4p0v4EAMZ8G7bGXGwNM9sZBru8FSQOTYJaLIq0rvD6o3NbEwMTM1fDA7N7xsFYClAUEKBW87LR4WOD1UedcZSytIfcmBujPhNmChi3ZdObX0lPZh69Fgu9JOhJTDGZCMy9pt1kpz6jhvWTZWT7MghGjCQ0A8Z0mtLhYSoHhyj1erFlZWFtaUbbWMx0s4cJ27PoxDCkWoh4X4d373riodkxN5NGbkUmz7TaeTg7BcBl6QAnH9jBaGcb/tERAExmCyUNTYyXbuSr/U5Or8vlu69pIdXjJ9Y9TdITAkCzmbA1OGevmnOl1EgcFglqMW/RRHp2eyI8dzX8rytj91SEZHrmv5dMIjQYR9mSOcl6m486g5eylIec6CDmVGjufMpgZiS/hp6cUnrsmfSaNHrTYXqiYwSTzx+XZc6iLqeOVkM5rikHZSNp4iNhBiMJBjMzSVitGFMpyrxe6pIpakuKyWpuxtLYRKq0Gs/UdsanHyBtehaVNhEY2spU11kk/HXkV2RSWJVFUXUWeWU2nvG7uXUyxoDRStNQJ2c8+WucoWkczhzKmlopb26lrNlFUW0dnZ3TvP3+nZQajHxXd+BIKTBoWKqz5m7PtlRkyV2A4ohJUIs5SikmwonZ8A0zOBFlYDI8d5XsC8bnjrWQpNU2wQlZE6yz+KgzjFCacpMTHcIS873grBrpnEo8eVX0ZBXQY7XSR5KexDS9YQ/RVHTuyDxbHnXOOuozqnGFsqn2QZ47iLFniHBXJ8NGE+7KCjzl5SSsVky6Tq3ZTEt1NU1btmAorsY3HGNsIMCY20tMPUJGxR+xZI6TjOaQGHstGeYLKK6spLA6G3tmktHeDjwd7XT29PBQSQN7mzeTHZzmgvZ/8tocB2XNLsqbW8kpKUMPJol1TxHvmma4c4LrwtMkgB/n5VPdUjAznVHnxGCV7QyxuCSojzHJtM7wdPRFe8QDs3vGQ5MRwon03LEGdDZlh9iaOYHLMjYbxh6c0QEsIQ+a0p8/cUYhyfx6BnNK6XFk02My0KdH6Yn66A8MkJjd1gAochRR76ynzllLk15E7biBQk8YrXeQeEcn8d5eSCZJGwyMVpTjaWnBnZtLQtOwmEw019fT2LKBDGMhU+4IYwNBxgaChKfjWJ1uchufwFn9NJoxgZmNFBdeRnXDeYQnxvF0tDHc0Y6nYz/TI14UGvvXncCTJ7+euMnCJdY0n1zXQH5ODnoiTaLPT6xrmnj3FMmRyMz30GHkQ0TojCe4751b2dxatGy/f+LYJEG9BoXiKQYmwjN7xHPjbDOh7JmOktaf/321mDQ25iTYkjk5G8ZeSpJusiODWAIDaOnnr6KxZEF+PdG8WvqzC+m12unRUvQm/fSGhhgMDJJWM0GvoVGWWUZ9Tv3MVbK9kropC0XeKFr3ALHODuIdnaQnJ+dObyopwdjcxFhtHf0OO73BIIlkEqvVRlVpLbnWMpQ/i/HBMKHJ59eVU2ylqHU/lsLHSGnPYTBYKSp8E1b9dCZ7Y3PhHAsFAbBnZVPW7CLZuok7cqt4LqE42ZnBFxvLqQ/oxLqmiHdNEe8PQFrNlRpZG3KwNuTwsb908es9Xr532WbeuKF0iX83hZCgPioppRgLxp/fI54Iz4TxbCBPhBMvOj7HYaYlBzZnzYRxDV5KUm6yIwOYp/vQ4s+/QYfBDHl1kN9AKLdqdtTNSK8eoycyQq+/F0/Ig2Lmvw2jZqQyq3IukOv+f3vnHtzoVd7h5+huWTfL17VsybZsy+uQACEshC0dIClJGibQ0kyTlsAUKAVCCjOllIShzQxMKYWWMFNKISEpEAaGcEvLBFpCaTsESEkgF3ZtybZ2ZcuX9UWWfJGs6+kf32fJytq7tnfXspLzzHgsyd/lPZL806vf9573uHsJ5jy0zWSQ46fJhsNsRMLkTp2Goi7iNhvWgQGsoUFsgyEM/f1MmU2Mnj5NJBIhn89jNllpshzBuOolv2BHoJWtuVsbaAs4aQ248HYVyJseYW7+62SzcxhFKzJ5OWeesTMXiVEsaBcDm4748A0Na6VyoWEsrR38Q+wMX4wv4DIY+bCpkRtjWXLjSUrr2j7mDnv5AqClx4XBojU1uufRCPc8OsZfXhfi9tf2X8qXWaEoo4T6kJItFJlezpSz4a0z7yYTaTbyFdvBIOCIu4Gg18RLHcsMmefpEXO05+O41k9jWo7C+vyWowvwdENzPzT3k/T4iNrsTIgS0dwy0ZXTTCQnOJM+U97DbDDT4+7RLYs++jx99Fl9tJ/JURyb0CyLcJiNSIRSKlXZz+fDGgppohwKYR0MYQn4yRUKjJwc5elfP8tk/DTFUgGjtGDOeLFutGLOuXG32Gn1u3RhdtLa7cTWaCaVeobo2BdIrDwKFMgseJl90s7KpAOj0UxbXz++0DC+kCbOdpfWh1lKySOzy3x0bJqZUpHfWyxx+zPrePJgcJq1C4CDWuncdk2NHn5qmvd/4ynefGUXn775CjUZRXFgKKGuIamMPv05UfGINwV5JpVh69PfYDbi99oJeK1c7lhlSM+M2/JxnGsxDIlxSE3Bc3xjTYyDSG+QRVc7UYuFiWKG6Nok0VSUieQEiY2K/dBgaqDX3asJsqdPz5L7aF8RFMYmNDEeDZMNh8nFYmwGKex2bAMDWIeGtojyIEantihqPltkZmKRZ58eITo5xnJmFkkJUTRjzbbgMXXi7/bT1uOmLeCkze/C5tCmTBfyeeYmRpiMfpO1wqMYHQsU84JExMNqtIuWjpfiG7qMztBROvoGMFkqIitLklx8lYmxJe5Op/hfB/SvFrkzkuOY14lNbwVqaj93U6MnYwluvfdxXtLl4avvPIbVpNqGKg4OJdSXkFJ5aaVKJrwpxLGlNKlMvmr7FocFv9eOv6mBIVdWy4yZoTUXx752CrE0AYkoFLdYG7pvvJkdl7xB5ho9RI2ybFVEk1EmUhOs5lbLu22WvFUsC+12G05yY+NahhzRRTkSobRWKZcz+/3YQoNYQxVRNnd1IQyaPVHIFVmcXmMhtspMdJFTU1ESmWly1gQIiVFaabZ30RfoZ3A4SEePB7urR7fWpQAAD2ZJREFUIq6Z1RVmIiNMh0eYO/UkBdsTeENLmO1F8msNGNavoq3tTXSHXoa301c+7yaFpQwb+kST1YkUD3YYuDdowQD8eamBd/a24+hxI8y7mwU4lUjzps89hsNm4rvvPY63UbUQVRwsSqgvkI18sSoTLldRJNLEExlyxUqGazQIupoaNDH22ul3lwiZF/BLTYytqSgsjcPSBOzgG2+KctHbR9xmJ5pPMaGLcTSl/Wxb8uYJapmyJ0jQHaTZ6qUQj7MRDleJcn5qqnJahwNrKFQWZVtoEOvAAIbGxvI2xXyJpZk1vfJihfnYKouzSbKWRbLWRXLWZRASm9lOb2CAl1x5BQNDvRh0cZVSkjwzy/ToSWbCJ5kOj5CYnsTenqHt8iTu3hWEQWIzvpiennfQ6b8BIaoFtpQpkJ1IsjG2zMZ4kuLSBgBPddn4RMjChElyg8fJx49247PtTWRXNvK8+Z9/xpmVDb57+3GCrY497a9QXAyUUJ8HKSXL6fxZrTI3LYszK9mq7RstRvzNjQS8dgLNdno8JgYtC/hLs3izkxgTE5oQL42f0zfeFOV8U4CYKBFdiTGRmigL8unU6W1L3rYKcp+7jyZbE8WVFbKRSEWUw2E2xsaQaa3cDIMBSyBwliibOjur7IBisURiep2FyYooL02vUSpKSiJPyZ2k6FxiNb+AROJyurjsRZcxPDyMz+fDYDBQLOSZPxVlevQE0+ERZiIjpFNJAGyuBvyvsOIIxCgZZzAanXR23kyX74+x23sqr0mxRG5qlY3IMtnxJLkpvamRxYg16GY96OLTjXkeSq7QZTPztwNdvL7FvefXvlAs8fYvP8HPxhf58tuPcby/Zc/HUCguBkqo0f4hZ1OVDm3lSR66b7yaLVRt3+a0Emi24/c2ar+brPRbk/hL0zjXY4jEZma8nW/cpmfFwSpRzjiPcDo9W/aNN7PjnUregu6KIPe6e3FanMhikVxskmx4tEqU8zMz5dMb3G7NPy6Lcghrfz+GhoaqMZaKJZbn0mVBno+tshRfo1jQxmK1m/B0WSi5EiQ2ZjizNI2UkqamJoaHhxkeHqazs5Ps+jozYyN6xjzC3HiEQl77gHG3d+AbPEp7qANzywjLqz8kX1imsXGArq630tH+RkymRqSUFBYzZMe0rDkbTSGzelOjLmd5ySlTt4Ovzyf5+MQMa8Ui7+1u4wM9Hdj32ejorx/+DV/5eYxP/P7l3HrMv69jKBQXgxeMUKdzhee0yqxcwIsvZyhsqS02GwXdTXb8zXYCXjvdXu13nz1NV3EG68oWi2Jp/Ly+ccWyCLJmMJZFeNM7jibPU/Lm6SPoDtLj7qHBpAlqYXmZbGSsWpTHxpBZPcM3GrH29WIdrBZlU3v7WRfNSiVJci7N/KQmyguxVRanVinolSVmm5E2v1YS52w3kszNEJ0cIxaLIaXE6/WWxbnBIJiNjDAdPsn06EmW4pMAGIxG2nr6yjP9jgweJS8ixONfYWHhUQBaW6+ly3cbTU1XU0oXyI7rwjyepJjUezR7bdgGPNrKJkE3Brt2wfHkWoYPhad4YiXNK92NfDLUTahx/301/vWxU9z97yf501f38pEbh/d9HIXiYvC8EerNpZXKkzyqPOM0i2vVFoXLZiLQ3Ii/2a5XU2jC3OMo0Z6PaxZFYqKSGT/XNzZaNN/Ye3Z2jKONZDalifCmIOtZ8o4lb3qFRdAdJOAKYDZqAiTzeXKnT7MRjlSJcuFM5ThGrxfbUKhKlC3BIAar9eznqSRJLWS2ZMorLEytUchqWbvJaqS120FbQCuLawu4ENY8o+FRTp48SSwWA6ClpYWjQ0N0uJ1kzsyWxXk9uQyApcGut/jUemMc6R/EbLNRLKaZnfse8fhXWV+PYDJ58HX+IZ0dt2I44yxnzfmZNc3OsBmxBT3lVqCm5urMf61Q5FOn57gvvoDbZOTufh83tzddUOncT0bneceXf8nrhtr5wm0vw6h6dShqTF0Jdb5Y2lJbXN0qczKRJr1l+rMQcMRlqwhxc6P+247fZcSzMb1FhMf35BvT3A/ubqQwsJhZrPKONwX5fCVvQU8Qn8OHyVDpC1FYWtL843CE7OgoG5EIufFxZF6vDjGbsfb1nSXKxpaWbYVJSsnKYqZsXSzEVliYXCW3oYuy2UBLt4PWTVH2u/B02DEYBKlUqrzy9pR+gbGlpQVfixd7LkPq9ASz42EKegbvam0vNyzyhY7S3O3HYKiUsKXTMeLTDzI7+xCFwioOx1E6nbfgWngV+Ym0ZmfkS1pTI79TawM62ITF50QYtx/bI4sprSY6m+e2zmbu6jtCk/nC+myMzq3wB5//OX6vnYfefTWNqm+H4hBwwUIthLge+CxgBO6TUv7dubY/n1CvbuSrSti2Lq80k8ywxaHAajKUKyg2bYpAcyPdXjtdbgu29Ey1CG/eTk4CWw7U2FZlT5RFuakXzDZKssTc+lyVd7x5ezclbx2NHRi2VCrIXI5sNFoR5XCYjXCY4uJieRtTa2tlosjQkCbMvT0Iy/ZVC1JKVpc29At9eqY8uUo2rfnrRpOB5i6HniVrmXJThx3DFv92eXmZkZERTpw4wfT0NAAeRyMuA5Tm4qQmoyAlwmDQbYyj5UklTu/ZF9qkLJFI/JSp+FdYWvpvhDDiNb0G78J1GEc6kat5fawNWPv1FbT73Bhs5xbHWCbLXZFpfpxY4TKHjU8OdnOVu/Gc++yGhdUsb/rcY+SLJR5+33GOuBvOv5NCcQBckFALIYxABPgdIA78ErhVSnlyp32uuuoq+f0f/7Rcwlbdj2Kd5XR1bbG30VL2iAN6dryZIbc5LBgyi9tnxnvwjbFpFQHFUpH4WrwiyLqHfCp1aseSt60ecktDdWYrpaQwv0A2Eq4S5Ww0Cvr0ZmGxYO3vf44oD2Lyend83qWUrCezFUHWM+aNde25MxgFzT5HWZBb/U68nY0Yt1kMNZFIaJnziRPMzM4CYDcKjMklSmemMeSzWBoaODIwVBblIwMhLLadRaxQWGV29tvE4w+SzpzCJD00zV+Da/S3MGWbMNhNFWEe8GDy7M5LzpVKfH5ygc/E5jAKwYd6O3iHrxXTRbAmNvJFbvniLxidW+GhP3sVl3ftvUpEobhUXKhQXw3cLaW8Tr9/J4CU8hM77WM7MiA73nZP+b5BQKenobqKYkuW7LLtsKDnd94F4R9s7xtvirA3WOUbs4NvmS/lueX7t5xV8tZub68I8pZZek22pnM+LwBL9z/A0r33UlxeLj9mOnIE2+BglShbAgGEafdfr8OPz/HYt8fJrGhxCoPA29lYFuW2gJPmTgfG80zmyGazPPDAA8zNaY3wjRtpjKkE5tUEbpdby5aHtGnYLf5AlY1xLlKpp/j1U2+lWFzHlgrSFLsGx+IxGvzN5enZ5k7Hnns0T23k+KOnJxhLZ7mx1c3H+n107rEm+lx88KGn+daTcf7lLVdy/YtUoyXF4eJcQr0b9fABU1vux4FXbHOSdwHvAmjy9fKxN15WrjX2NTVg3k/5VGtIy4Sf4xuzS0HZitlg5qj3KMc7j1cJssOy/8kN5s5OnNdeo3vJ2uw9o/vCszSn10rgMq+WKQectPgcmCx7H7PVaqW9vZ0rrrgCkZgnPT+LL3QjnaFhXC2t+47P4ThKR/tNeHPXYUn7sN7gwdrrLjc12i8dFjN9dit/0+/j2mbXBR1rO956dYAXd7mVSCvqjt1k1DcD10kp36nfvw04JqW8Y6d9DmMdtUKhUBxmzpVR7ybNjQPdW+53ATM7bKtQKBSKi8xuhPqXwIAQolcIYQFuAf7t0oalUCgUik3O61FLKQtCiPcB/4FWnne/lPLEJY9MoVAoFMDuLiYipXwEeOQSx6JQKBSKbdhfJxuFQqFQHBhKqBUKheKQo4RaoVAoDjlKqBUKheKQc0m65wkhFoDYRT8wtACL593q8FLv8UP9j0HFX3vqfQyXKv6AlHLbKcOXRKgvFUKIJ3aauVMP1Hv8UP9jUPHXnnofQy3iV9aHQqFQHHKUUCsUCsUhp96E+ou1DuACqff4of7HoOKvPfU+hgOPv648aoVCoXghUm8ZtUKhULzgUEKtUCgUh5y6E2ohxB1CiLAQ4oQQ4u9rHc9+EUJ8UAghhRBnrxh7iBFCfEoIMSqEeEYI8V0hhKfWMe0GIcT1+vtmXAjx4VrHs1eEEN1CiJ8IIUb09/77ax3TfhBCGIUQvxZCfL/WsewHIYRHCPEt/X9gRF+q8JJTV0IthHgt8EbgCinlZcCnaxzSvhBCdKMtFjxZ61j2wY+AF0kpr0Bb9PjOGsdzXvQFmj8H3AAMA7cKIYZrG9WeKQB/IaU8CrwSuL0OxwDwfmCk1kFcAJ8FfiilHAJezAGNpa6EGngP8HdSyiyAlHK+xvHsl88AHwLq7kqulPI/pZQF/e4v0Fb8OewcA8allFEpZQ74BtoHft0gpZyVUv5Kv72KJhC+2ka1N4QQXcCNwH21jmU/CCFcwG8DXwKQUuaklMmDOHe9CfUg8GohxONCiP8RQry81gHtFSHETcC0lPLpWsdyEXg78INaB7ELtlugua5EbitCiB7gpcDjtY1kz9yDlqCUah3IPukDFoAHdPvmPiFE40GceFcLBxwkQohHgY5t/vQRtHib0L76vRz4phCiTx6yGsPzjOEu4PUHG9HeOFf8UsqH9W0+gvZ1/GsHGds+Eds8dqjeM7tFCOEAvg18QEq5Uut4dosQ4g3AvJTySSHEa2odzz4xAVcCd0gpHxdCfBb4MPDRgzjxoUJKee1OfxNCvAf4ji7M/yeEKKE1SFk4qPh2w05jEEJcDvQCTwshQLMNfiWEOCalnDvAEM/JuV4DACHE24A3ANcctg/JHXheLNAshDCjifTXpJTfqXU8e+Q4cJMQ4ncBG+ASQjwopXxLjePaC3EgLqXc/CbzLTShvuTUm/XxPeB1AEKIQcBCHXXhklI+K6Vsk1L2SCl70F74Kw+TSJ8PIcT1wF8BN0kp07WOZ5fU/QLNQvtk/xIwIqX8x1rHs1eklHdKKbv09/0twH/VmUij/59OCSFC+kPXACcP4tyHLqM+D/cD9wshfgPkgLfVSUb3fOKfACvwI/1bwS+klO+ubUjn5nmyQPNx4DbgWSHEU/pjd+nrmSoOjjuAr+kf+FHgTw7ipGoKuUKhUBxy6s36UCgUihccSqgVCoXikKOEWqFQKA45SqgVCoXikKOEWqFQKA45SqgVCoXikKOEWqFQKA45/w/rbGkyXVF7mQAAAABJRU5ErkJggg==\n", 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\n", 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" ] @@ -1113,7 +1121,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -1123,9 +1131,17 @@ "Value functions\n" ] }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/ms/dev/HARK/HARK/utilities.py:141: RuntimeWarning: divide by zero encountered in reciprocal\n", + " return( c**(1.0 - gam) / (1.0 - gam) )\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1157,14 +1173,7 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": 34, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ @@ -1193,12 +1202,12 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1235,12 +1244,12 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 35, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1275,7 +1284,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 36, "metadata": {}, "outputs": [], "source": [ @@ -1291,7 +1300,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 37, "metadata": {}, "outputs": [ { @@ -1303,7 +1312,7 @@ }, { "data": { - "image/png": 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\n", 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" ] @@ -1328,7 +1337,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 38, "metadata": {}, "outputs": [], "source": [ @@ -1345,12 +1354,12 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 39, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -1396,7 +1405,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 40, "metadata": { "solution": "hidden" }, @@ -1435,7 +1444,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 41, "metadata": { "solution": "hidden" }, @@ -1449,7 +1458,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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\n", 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\n", + "image/png": 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\n", 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" ] @@ -1518,7 +1527,7 @@ "Ex_agent = PerfForesightConsumerType(**Ex_dictionary)\n", "Ex_agent.solve()\n", "\n", - "Ex_agent.unpackcFunc()\n", + "Ex_agent.unpack('cFunc')\n", "\n", "min_v = min(Ex_agent.solution[t].mNrmMin for t in range(11) )\n", "max_v = -min_v\n", @@ -1565,16 +1574,12 @@ "plt.show()\n", "\n" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { + "jupytext": { + "notebook_metadata_filter": "all" + }, "kernelspec": { "display_name": "Python 3", "language": "python", @@ -1590,7 +1595,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" + "version": "3.7.6" } }, "nbformat": 4, diff --git a/examples/LifecycleModel/LifecycleModel.ipynb b/examples/LifecycleModel/LifecycleModel.ipynb index 28f724aca..6195072a7 100644 --- a/examples/LifecycleModel/LifecycleModel.ipynb +++ b/examples/LifecycleModel/LifecycleModel.ipynb @@ -94,7 +94,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/home/sb/projects/econ-ark/HARK/HARK/interpolation.py:1710: RuntimeWarning: All-NaN slice encountered\n", + "/Users/ms/dev/HARK/HARK/interpolation.py:1710: RuntimeWarning: All-NaN slice encountered\n", " y = np.nanmin(fx,axis=1)\n" ] } @@ -102,7 +102,7 @@ "source": [ "# Solve and simulate the model (ignore the \"warning\" message)\n", "LifeCyclePop.solve() # Obtain consumption rules by age \n", - "LifeCyclePop.unpackcFunc() # Expose the consumption rules\n", + "LifeCyclePop.unpack('cFunc') # Expose the consumption rules\n", "\n", "# Which variables do we want to track\n", "LifeCyclePop.track_vars = ['aNrmNow','pLvlNow','mNrmNow','cNrmNow','TranShkNow']\n", @@ -130,7 +130,7 @@ }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ "
" ] @@ -203,20 +203,20 @@ "\n", "for t in range(1,LifeCyclePop.T_cycle+1):\n", " #aLvlGro_hist[0] = 0 # set the first growth rate to 0, since there is no data for period 0\n", - " aLvlGroNow = np.log(LifeCyclePop.aNrmNow_hist[t]/LifeCyclePop.aNrmNow_hist[t-1]) # (10000,)\n", + " aLvlGroNow = np.log(LifeCyclePop.history['aNrmNow'][t]/LifeCyclePop.history['aNrmNow'][t-1]) # (10000,)\n", "\n", " # Call the saving rate function with test value for \n", - " SavingRate = savingRateFunc(LifeCyclePop, LifeCyclePop.mNrmNow_hist[t] )\n", + " SavingRate = savingRateFunc(LifeCyclePop, LifeCyclePop.history['mNrmNow'][t] )\n", " \n", " SavingRate_list.append(SavingRate)\n", "\n", " # Create elements of matrix list\n", " matrix_list = [0 for number in range(7)]\n", " matrix_list[0] = t\n", - " matrix_list[1] = LifeCyclePop.aNrmNow_hist[t]\n", - " matrix_list[2] = LifeCyclePop.cNrmNow_hist[t]\n", - " matrix_list[3] = LifeCyclePop.TranShkNow_hist[t]\n", - " matrix_list[4] = LifeCyclePop.TranShkNow_hist[t-1]\n", + " matrix_list[1] = LifeCyclePop.history['aNrmNow'][t]\n", + " matrix_list[2] = LifeCyclePop.history['cNrmNow'][t]\n", + " matrix_list[3] = LifeCyclePop.history['TranShkNow'][t]\n", + " matrix_list[4] = LifeCyclePop.history['TranShkNow'][t-1]\n", " matrix_list[5] = aLvlGroNow\n", " matrix_list[6] = SavingRate\n", " \n", @@ -238,8 +238,8 @@ "outputs": [], "source": [ "# Construct the level of assets A from a*p where a is the ratio to permanent income p\n", - "LifeCyclePop.aLvlNow_hist = LifeCyclePop.aNrmNow_hist*LifeCyclePop.pLvlNow_hist\n", - "aGro41=LifeCyclePop.aLvlNow_hist[41]/LifeCyclePop.aLvlNow_hist[40]\n", + "LifeCyclePop.history['aLvlNow'] = LifeCyclePop.history['aNrmNow']*LifeCyclePop.history['pLvlNow']\n", + "aGro41=LifeCyclePop.history['aLvlNow'][41]/LifeCyclePop.history['aLvlNow'][40]\n", "aGro41NoU=aGro41[aGro41[:]>0.2] # Throw out extreme outliers" ] }, @@ -255,7 +255,7 @@ "outputs": [ { "data": { - "image/png": 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+ "image/png": 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4hpwbgYO75SMYDDBeNI1ZFxzzDno4idnrD2rIJ+ic7odwD4P/+QE+BLy+Wz4F+Fr3xN0EvHbebU8HvjnNORn8z/s54DYG5f3HU5x1E3AncAfwL8DxE855AXBXd8zH6V590O37HeDu7uudU/CcLpf1X4E54P8YTFG9btpyAm8Hftz9Puz5OnUKc54F3NL97t4CbJnmn/28+3gHPRS4l9JLUqNaOIkpSVqEBS5JjbLAJalRFrgkNcoCl6RGWeCS1CgLXJIa9f93RVXddTqM7gAAAABJRU5ErkJggg==\n", 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" ] @@ -274,92 +274,10 @@ } ], "metadata": { - "cite2c": { - "citations": { - "6202365/7MR8GUVS": { - "DOI": "10.3982/QE694", - "URL": "https://onlinelibrary.wiley.com/doi/abs/10.3982/QE694", - "abstract": "In a model calibrated to match micro- and macroeconomic evidence on household income dynamics, we show that a modest degree of heterogeneity in household preferences or beliefs is sufficient to match empirical measures of wealth inequality in the United States. The heterogeneity-augmented model's predictions are consistent with microeconomic evidence that suggests that the annual marginal propensity to consume (MPC) is much larger than the roughly 0.04 implied by commonly used macroeconomic models (even ones including some heterogeneity). The high MPC arises because many consumers hold little wealth despite having a strong precautionary motive. Our model also plausibly predicts that the aggregate MPC can differ greatly depending on how the shock is distributed across households (depending, e.g., on their wealth, or employment status).", - "accessed": { - "day": 5, - "month": 2, - "year": 2019 - }, - "author": [ - { - "family": "Carroll", - "given": "Christopher" - }, - { - "family": "Slacalek", - "given": "Jiri" - }, - { - "family": "Tokuoka", - "given": "Kiichi" - }, - { - "family": "White", - "given": "Matthew N." - } - ], - "container-title": "Quantitative Economics", - "id": "6202365/7MR8GUVS", - "issue": "3", - "issued": { - "year": 2017 - }, - "language": "en", - "note": "Citation Key: carrollDistributionWealthMarginal2017", - "page": "977-1020", - "page-first": "977", - "title": "The distribution of wealth and the marginal propensity to consume", - "type": "article-journal", - "volume": "8" - }, - "6202365/B9BGV9W3": { - "URL": "http://www.nber.org/papers/w22822", - "abstract": "We provide a systematic analysis of the properties of individual returns to wealth using twenty years of population data from Norway’s administrative tax records. We document a number of novel results. First, in a given cross-section, individuals earn markedly different returns on their assets, with a difference of 500 basis points between the 10th and the 90th percentile. Second, heterogeneity in returns does not arise merely from differences in the allocation of wealth between safe and risky assets: returns are heterogeneous even within asset classes. Third, returns are positively correlated with wealth. Fourth, returns have an individual permanent component that accounts for 60% of the explained variation. Fifth, for wealth below the 95th percentile, the individual permanent component accounts for the bulk of the correlation between returns and wealth; the correlation at the top reflects both compensation for risk and the correlation of wealth with the individual permanent component. Finally, the permanent component of the return to wealth is also (mildly) correlated across generations. We discuss the implications of these findings for several strands of the wealth inequality debate.", - "accessed": { - "day": 17, - "month": 3, - "year": 2019 - }, - "author": [ - { - "family": "Fagereng", - "given": "Andreas" - }, - { - "family": "Guiso", - "given": "Luigi" - }, - { - "family": "Malacrino", - "given": "Davide" - }, - { - "family": "Pistaferri", - "given": "Luigi" - } - ], - "genre": "Working Paper", - "id": "6202365/B9BGV9W3", - "issued": { - "month": 11, - "year": 2016 - }, - "note": "DOI: 10.3386/w22822", - "number": "22822", - "publisher": "National Bureau of Economic Research", - "title": "Heterogeneity and Persistence in Returns to Wealth", - "type": "report" - } - } - }, "jupytext": { "cell_metadata_filter": "collapsed,code_folding", - "formats": "ipynb,py:percent" + "formats": "ipynb,py:percent", + "notebook_metadata_filter": "all" }, "kernelspec": { "display_name": "Python 3", @@ -376,54 +294,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.6.9" - }, - "latex_envs": { - "LaTeX_envs_menu_present": true, - "autoclose": false, - "autocomplete": true, - "bibliofile": "biblio.bib", - "cite_by": "apalike", - "current_citInitial": 1, - "eqLabelWithNumbers": true, - "eqNumInitial": 1, - "hotkeys": { - "equation": "Ctrl-E", - "itemize": "Ctrl-I" - }, - "labels_anchors": false, - "latex_user_defs": false, - "report_style_numbering": false, - "user_envs_cfg": false - }, - "varInspector": { - "cols": { - "lenName": 16, - "lenType": 16, - "lenVar": 40 - }, - "kernels_config": { - "python": { - "delete_cmd_postfix": "", - "delete_cmd_prefix": "del ", - "library": "var_list.py", - "varRefreshCmd": "print(var_dic_list())" - }, - "r": { - "delete_cmd_postfix": ") ", - "delete_cmd_prefix": "rm(", - "library": "var_list.r", - "varRefreshCmd": "cat(var_dic_list()) " - } - }, - "types_to_exclude": [ - "module", - "function", - "builtin_function_or_method", - "instance", - "_Feature" - ], - "window_display": false + "version": "3.7.6" } }, "nbformat": 4, diff --git a/examples/LifecycleModel/LifecycleModel.py b/examples/LifecycleModel/LifecycleModel.py index 81f9fe97d..f7b0abb9b 100644 --- a/examples/LifecycleModel/LifecycleModel.py +++ b/examples/LifecycleModel/LifecycleModel.py @@ -3,15 +3,26 @@ # jupytext: # cell_metadata_filter: collapsed,code_folding # formats: ipynb,py:percent +# notebook_metadata_filter: all # text_representation: # extension: .py # format_name: percent # format_version: '1.2' -# jupytext_version: 1.2.4 +# jupytext_version: 1.2.3 # kernelspec: # display_name: Python 3 # 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: 3.7.6 # --- # %% [markdown] @@ -66,7 +77,7 @@ # %% {"code_folding": [0]} # Solve and simulate the model (ignore the "warning" message) LifeCyclePop.solve() # Obtain consumption rules by age -LifeCyclePop.unpackcFunc() # Expose the consumption rules +LifeCyclePop.unpack('cFunc') # Expose the consumption rules # Which variables do we want to track LifeCyclePop.track_vars = ['aNrmNow','pLvlNow','mNrmNow','cNrmNow','TranShkNow'] @@ -119,20 +130,20 @@ def savingRateFunc(SomeType, m): for t in range(1,LifeCyclePop.T_cycle+1): #aLvlGro_hist[0] = 0 # set the first growth rate to 0, since there is no data for period 0 - aLvlGroNow = np.log(LifeCyclePop.aNrmNow_hist[t]/LifeCyclePop.aNrmNow_hist[t-1]) # (10000,) + aLvlGroNow = np.log(LifeCyclePop.history['aNrmNow'][t]/LifeCyclePop.history['aNrmNow'][t-1]) # (10000,) # Call the saving rate function with test value for - SavingRate = savingRateFunc(LifeCyclePop, LifeCyclePop.mNrmNow_hist[t] ) + SavingRate = savingRateFunc(LifeCyclePop, LifeCyclePop.history['mNrmNow'][t] ) SavingRate_list.append(SavingRate) # Create elements of matrix list matrix_list = [0 for number in range(7)] matrix_list[0] = t - matrix_list[1] = LifeCyclePop.aNrmNow_hist[t] - matrix_list[2] = LifeCyclePop.cNrmNow_hist[t] - matrix_list[3] = LifeCyclePop.TranShkNow_hist[t] - matrix_list[4] = LifeCyclePop.TranShkNow_hist[t-1] + matrix_list[1] = LifeCyclePop.history['aNrmNow'][t] + matrix_list[2] = LifeCyclePop.history['cNrmNow'][t] + matrix_list[3] = LifeCyclePop.history['TranShkNow'][t] + matrix_list[4] = LifeCyclePop.history['TranShkNow'][t-1] matrix_list[5] = aLvlGroNow matrix_list[6] = SavingRate @@ -144,8 +155,8 @@ def savingRateFunc(SomeType, m): # %% {"code_folding": [0]} # Construct the level of assets A from a*p where a is the ratio to permanent income p -LifeCyclePop.aLvlNow_hist = LifeCyclePop.aNrmNow_hist*LifeCyclePop.pLvlNow_hist -aGro41=LifeCyclePop.aLvlNow_hist[41]/LifeCyclePop.aLvlNow_hist[40] +LifeCyclePop.history['aLvlNow'] = LifeCyclePop.history['aNrmNow']*LifeCyclePop.history['pLvlNow'] +aGro41=LifeCyclePop.history['aLvlNow'][41]/LifeCyclePop.history['aLvlNow'][40] aGro41NoU=aGro41[aGro41[:]>0.2] # Throw out extreme outliers From 07459b7af0c39418e8f7083e7e314c4f01735df0 Mon Sep 17 00:00:00 2001 From: Mridul Seth Date: Thu, 6 Aug 2020 04:56:50 +0530 Subject: [PATCH 3/5] stripout notebook output --- .../example_ConsAggShockModel.ipynb | 36 +------ .../example_TractableBufferStockModel.ipynb | 101 +++--------------- 2 files changed, 18 insertions(+), 119 deletions(-) diff --git a/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb b/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb index 145f70257..7fff5040a 100644 --- a/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb +++ b/examples/ConsumptionSaving/example_ConsAggShockModel.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -24,7 +24,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -51,7 +51,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -70,7 +70,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -101,33 +101,7 @@ "cell_type": "code", "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Now solving for the equilibrium of a Cobb-Douglas economy. This might take a few minutes...\n", - "intercept=-0.3372610753533013, slope=1.101501983704915, r-sq=0.9954435436691946\n", - "intercept=-0.49770810417502803, slope=1.148764968487618, r-sq=0.9953553126411289\n", - "intercept=-0.4434532772502271, slope=1.1084704015532312, r-sq=0.9788789081984757\n", - "intercept=-0.38238447294655753, slope=1.083476337560482, r-sq=0.981992617567353\n", - "intercept=-0.3606690676462716, slope=1.0748578752690268, r-sq=0.9848462641750911\n", - "intercept=-0.35226778863021624, slope=1.0715459518348256, r-sq=0.9876985587567275\n", - "intercept=-0.34604567506357303, slope=1.0691648254292958, r-sq=0.9866770594247857\n", - "intercept=-0.3428956328748779, slope=1.067965401100298, r-sq=0.9882933798795036\n", - "intercept=-0.3499617030152978, slope=1.0705887281378943, r-sq=0.9875037551150854\n", - "intercept=-0.3413358075505669, slope=1.0673655274072105, r-sq=0.9868426813577541\n", - "intercept=-0.34883986525965144, slope=1.0701610285261218, r-sq=0.9889704913159548\n", - "intercept=-0.3415955069944847, slope=1.0674566859760877, r-sq=0.9869303315068265\n", - "intercept=-0.34720296637657155, slope=1.0695477691706028, r-sq=0.9868228850180601\n", - "intercept=-0.3483001346795405, slope=1.069959506783908, r-sq=0.986792626089886\n", - "intercept=-0.34844760061618807, slope=1.070013559334908, r-sq=0.9876030119761063\n", - "intercept=-0.34872912656066, slope=1.07012321783815, r-sq=0.9859823696498053\n", - "intercept=-0.34958719678152816, slope=1.0704398972539522, r-sq=0.98456365592944\n", - "intercept=-0.34564679476085886, slope=1.0689666990306397, r-sq=0.9842652024301427\n" - ] - } - ], + "outputs": [], "source": [ "if solve_agg_shocks_market:\n", " # Solve the \"macroeconomic\" model by searching for a \"fixed point dynamic rule\"\n", diff --git a/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb b/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb index d9d71346d..d84859615 100644 --- a/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb +++ b/examples/ConsumptionSaving/example_TractableBufferStockModel.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -20,7 +20,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -36,7 +36,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -52,17 +52,9 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Solving a tractable consumption-savings model took 0.002909999999999968 seconds.\n" - ] - } - ], + "outputs": [], "source": [ "# Make and solve a tractable consumer type\n", "ExampleType = TractableConsumerType(**base_primitives)\n", @@ -78,22 +70,9 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Plot the consumption function and whatnot\n", "m_upper = 1.5 * ExampleType.mTarg\n", @@ -104,26 +83,11 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "metadata": { "lines_to_next_cell": 2 }, - "outputs": [ - { - "ename": "TypeError", - "evalue": "draw() got an unexpected keyword argument 'seed'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)", - "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m**\u001b[0m\u001b[0msimulation_values\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Set attributes needed for simulation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mtrack_vars\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;34m[\u001b[0m\u001b[0;34m\"mLvlNow\"\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmakeShockHistory\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minitializeSim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 6\u001b[0m \u001b[0mExampleType\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msimulate\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/dev/HARK/HARK/core.py\u001b[0m in \u001b[0;36mmakeShockHistory\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 485\u001b[0m '''\n\u001b[1;32m 486\u001b[0m \u001b[0;31m# Re-initialize the simulation\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 487\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0minitializeSim\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 488\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 489\u001b[0m \u001b[0;31m# Make blank history arrays for each shock variable (and mortality)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/dev/HARK/HARK/core.py\u001b[0m in \u001b[0;36minitializeSim\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 430\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt_age\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mAgentCount\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Number of periods since agent entry\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 431\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt_cycle\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mzeros\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mAgentCount\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdtype\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mint\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Which cycle period each agent is on\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 432\u001b[0;31m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msimBirth\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mall_agents\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 433\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mclearHistory\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 434\u001b[0m \u001b[0;32mreturn\u001b[0m \u001b[0;32mNone\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;32m~/dev/HARK/HARK/ConsumptionSaving/TractableBufferStockModel.py\u001b[0m in \u001b[0;36msimBirth\u001b[0;34m(self, which_agents)\u001b[0m\n\u001b[1;32m 372\u001b[0m \u001b[0mN\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msum\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mwhich_agents\u001b[0m\u001b[0;34m)\u001b[0m \u001b[0;31m# Number of new consumers to make\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 373\u001b[0m self.aLvlNow[which_agents] = Lognormal(self.aLvlInitMean,\n\u001b[0;32m--> 374\u001b[0;31m sigma=self.aLvlInitStd).draw(N,seed=self.RNG.randint(0,2**31-1))\n\u001b[0m\u001b[1;32m 375\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0meStateNow\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwhich_agents\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m1.0\u001b[0m \u001b[0;31m# Agents are born employed\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 376\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mt_age\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0mwhich_agents\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0;36m0\u001b[0m \u001b[0;31m# How many periods since each agent was born\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", - "\u001b[0;31mTypeError\u001b[0m: draw() got an unexpected keyword argument 'seed'" - ] - } - ], + "outputs": [], "source": [ "if do_simulation:\n", " ExampleType(**simulation_values) # Set attributes needed for simulation\n", @@ -135,7 +99,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -199,7 +163,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -212,48 +176,9 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Solving the same model \"the long way\" took 1.178989 seconds.\n" - ] - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Difference between the (employed) consumption functions:\n" - ] - }, - { - "data": { - "image/png": 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fLfqMiOh688fOZw7zbz/zEC85bYKnDhzjX/3SBVx87mldL3i2p9Jj+Ou8NUuZmmnyge3/wOvPO521p012zX/R2pX8zJql/M8Hd/HbP38ukjg0NcM933mard/6MU/sO0ylXOKV5yzn0pefyVtfdQ4rl4x1LdPM7GQaRFBZC7TfDr4LeENRnoioS3oeWJ3S7+s4t3VnYF6Zq4GfREQ9J3/RZzzbWWFJ1wPXAyw752f4xhP7+fHzUwAcmprhz/7lJZ2nnOD4nEr3nsprU3CqN4N3/PLPds2b6sXv/eL5vOeuR/h/7nqY547OcO939zI10+Rn1izlTT+7hulGk2/+8Dm2PbKXm+56hDe/4kx+/TUv4cwVVZ47Ms2+wzUOTdU5WqtTKZdYMVHh9KXjrFlW5YzlVVYvHadS8Mh+CcbLJcbLpTkPwTQzm4+RfEpxRNwK3AqwcePG+LsbL6PeaPKOT32Tpw4c7Xl+a/XXeI+gsuGcFfzOG17KWSsmCld9dfqdN5zHl7/3DP/9vh+xZlmV33zdOn7z9et47bmnkXXusnteHt59kM/9/S7+17d+zBceeXpOORJ076N1VymJsXKJcklIUJIoKZv7KZdEpVRirCwq5RKV2TTNHi9p7nZ7GSUJsv8hKf0+cT87rrb0tv2UofNYScx+T8o7fz5lp5Pz0tWl/JKU6lVwTfMpm4LvpS3v3PJb1338O4mAZgTNCBrNIAIazWw/AhrpWLMZNNuOZT+kc7LtsXKJlZNjrJissGJijBWTY6yYqDA5XqZaKVOtlBivZP8OWt+Nja5BBJXdwLlt++tSWl6eXZIqwEpgf49z89L3A6dJqqTeSnv+os+Yl0q5xDkrJ7j/yQM98863p1IqiVt+46L5VgHIGtw/+72f51CtzvJqJfc/UklctG4lF61bybvf+kq+vft5Dk/VOX3JOGuWj3Pa5DgTYyXqzeDgsRmeOzrDs4dr7DtUY//hGo2CYBMR1OpNputNphtNZupNAo43RKnhqTeCmWaTeiOoN7OHazaaQb31uxE0IpiuN7PGq5ntN5rZZ8w2bgABkT47+w1B9nmtoJh7jNbx9v0sX7M5j7Jnj889v59gPMpKyoaExyslxsrZHx3l9MdJpZT9ATKbVipRSX+UjJXa8pWP/8GSd26ldV5nWkknlFcpt6V1/AHUmdbKX62UmBgrU3YvvS+DCCoPAOslXUDWsG/m+JxHy1ZgC/B14G3AlyMiJG0F/oekPwFeAqwH7if7Q21Omemcv0ll3JHKvKvbZyzkQs5cXuX5YzPZC7i6zJccX/3VfU5lsSTNPuW4l0q5xOteenrusbGyWL2syuplVV525rJBVnEkROQHnFYggrmBqhWAuwWsSNEuP1AWl31i0DsxuAZBs3k8f0miVIKyst5D1jtspaceY+exVq8y9apaPcrpepPnj81wcGqGg8dmZrenZprUZhpMN5rUZrI/RGr1LG2mGdQbTerpj4x6s8lM48S0mUaTo9MN6ukPlJn09O+ZlL+VVk9/sNQbTU7G4/HGyyUmxrIAMzleZqJSZmK8zESlNLs/OV6ezTMxVmZyLNufHMuCaiu4jpezXlyW1va7XKY6dvx4tVIqHJY+1fQdVNL8xbuAbUAZuC0iHpF0M7AjIrYCHwf+PE3EHyALEqR8d5JN6teBd0ZEAyCvzPSR/wG4Q9J/BP4+lU3RZyzE8tSQH56qU13WJajM8+ZHO7WpbTgrDVyNpMnxrBE9e+XwXyTXbLb1klvBp5mCT1vwajSPB6T2Y9nvufnrKSAem2kwNdNkaqbB1Ewj7Tc4ltIOHJluS28yNd1gqt5gpqj7vwDlkphIvaVWr6magtVEJQtCE5UTg1krbWm1zJLxCsuqFZZWKyytllk6nm0vS/tLxisnpRc2kDmViLgbuLsj7T1t21PAbxWcewtwy3zKTOlPcHyFWHt64WfM1/KJ7Os4NFVndXogZJ5avUlJ2byDmZ08pZKolspUX2SzwfVGk6l6k2PTDWr1xuwQ8nT9+E+trUd3PP14T69WT8Gs3h7YmtTqWWA7cqQ+m9YKelOpnPmaHCufEHRmA061wrJWEJqosDz9Xpazv7zafRTlRfZ/zXC1HvR4uFbvmq/11kdPSpoZZMPQy8qlOQ+LPRmazeDoTIMjtTqHa3WO1hocrtU5UqtzZLrOkdrxY1latt86/uzhaY7sP3rC8X44qLRZ1tZT6aY20+h5N72Z2clQKinrUVQrnDWA8prN4Mj08SB0aCrbPjxV51D6fW2XW8sdVNq0unXz66k4qJjZT59SSSyfGJudY85zbeERP1DyBEur2eT84Vr3Z2+1hr/MzOxEDiptJsezQDE1033iK1ty7K/OzKyTW8Y2k+m+k2M9JqpqM03PqZiZ5XDL2GYiBZWpeo+g4uEvM7NcDiptWkNaU716Kh7+MjPL5ZaxjSQmxkpM9biZyKu/zMzyuWXsMDFWnt+cioe/zMzmcFDpMDlWZmpmHsNfnqg3M5vDLWOHibGyh7/MzBbJLWOH+Qx/TdebPV/QZWY2itwydpgYK80+2r6IlxSbmeVzUOkwOZ+Jei8pNjPL5ZaxQzanUhxUWm+mc0/FzGwuB5UOvXoqrRfiePWXmdlcbhk7VMdKXR8o6VcJm5kV66tllLRK0nZJj6ffpxfk25LyPC5pS1v66yV9R9JOSR9UepViUbmSfkfSt9M5fyfpNW1l/SClPyRpx2Kvqdd9KrVWT8XDX2Zmc/T75/YNwL0RsR64N+2fQNIq4CbgDWTvlr+pLfh8FPh9YH362dSj3CeBX46Ii4D3Ard2fNyvRMTFEbFxsRc00SuozLSCinsqZmad+m0ZrwJuT9u3A1fn5LkC2B4RByLiOWA7sEnSOcCKiLgvIgL4ZNv5ueVGxN+lMgDuA9b1Wf85JsfKHJtpkFVprtnhL8+pmJnN0W/LeFZE7EnbT0PuK5LXAk+17e9KaWvTdmf6fMu9FrinbT+AL0p6UNL13Sot6XpJOyTt2Ldv3wnHJsZKNANmGkVBxcNfZmZFer6jXtKXgLNzDr27fSciQlJ+S9yHvHIl/QpZUPmltuRfiojdks4Etkv6XkR8taDMW0lDZxs3bjyh7FawqNUbuXfNe6LezKxYz6ASEW8pOiZpr6RzImJPGs56JifbbuDStv11wFdS+rqO9N1pu7BcSa8GPgZcGRH72+q5O/1+RtLnyeZvcoNKN61hrVq9yfKc455TMTMr1m/LuBVorebaAtyVk2cbcLmk09ME/eXAtjS8dVDSG9Oqr7e3nZ9brqSXAp8Dfjci/qH1AZKWSlre2k6f8fBiLqgVLGoFD5WcHf4a8/CXmVmnnj2VHt4H3CnpWuCHwD8HkLQR+IOIuC4iDkh6L/BAOufmiDiQtv8Q+AQwSTY/ck+3coH3AKuBj6TVx/W00uss4PMprQL8j4j4wmIuaHb4q2AFmIe/zMyK9RVU0vDTZTnpO4Dr2vZvA24ryPeqBZR7XXu5belPAK/pTF+MVrCYbvToqTiomJnN4Zaxw+ycSsFd9bNzKh7+MjObw0Glw/HVX0U9lWz4a7zsr87MrJNbxg7HJ+qL5lT8QEkzsyJuGTscn6j3nIqZ2UK5ZezQfp9KntaqMA9/mZnN5ZaxQ8/hr0aTaqVEWr5sZmZtHFQ69Jyon2l66MvMrIBbxw6zPZXCmx+bXk5sZlbAQaVDzzmVesM9FTOzAm4dO7Qm4Ls9+8tBxcwsn1vHDpVyiXJJxRP1M02/S8XMrICDSo5qpdTlPpWGb3w0Myvg1jFHtVLy8JeZ2SK4dcxRrZS7PqbFw19mZvkcVHJUx7r0VGa8+svMrIhbxxzd5lSmfZ+KmVkhB5UcvYe//LWZmeVx65ij+0S9h7/MzIr01TpKWiVpu6TH0+/TC/JtSXkel7SlLf31kr4jaaekDyo9pbGoXEmXSnpe0kPp5z1tZW2S9Fgq64Z+rqv7nEqTcQcVM7Nc/baONwD3RsR64N60fwJJq4CbgDcAlwA3tQWfjwK/D6xPP5vmUe7XIuLi9HNz+owy8GHgSmADcI2kDYu9KK/+MjNbnH6DylXA7Wn7duDqnDxXANsj4kBEPAdsBzZJOgdYERH3RUQAn2w7fz7ltrsE2BkRT0TENHBHKmNRqpUS0zk9lWYzmG54TsXMrEi/reNZEbEnbT8NnJWTZy3wVNv+rpS2Nm13pvcq902SviXpHkkX9viMXJKul7RD0o59+/bNOV40pzLd8KuEzcy6qfTKIOlLwNk5h97dvhMRISkGVbGCcr8JnBcRhyW9FfhLsmGzhZZ5K3ArwMaNG+fUuVop5y4pbqV5+MvMLF/PoBIRbyk6JmmvpHMiYk8aznomJ9tu4NK2/XXAV1L6uo703Wk7t9yIONhWr7slfUTSmnTeuQVlLVg2UT93TqWV5ol6M7N8/baOW4HWaq4twF05ebYBl0s6PU3QXw5sS8NbByW9Ma36envb+bnlSjq7bYXYJan++4EHgPWSLpA0DmxOZSxK0fBXK23CQcXMLFfPnkoP7wPulHQt8EPgnwNI2gj8QURcFxEHJL2XrOEHuDkiDqTtPwQ+AUwC96SfwnKBtwHvkFQHjgGb0yR/XdK7yAJYGbgtIh5Z7EVlq7/ygkrWU/Ed9WZm+foKKhGxH7gsJ30HcF3b/m3AbQX5XrWAcj8EfKigLncDdy+g+oWqlRKNZlBvNKmUj/dKpmbcUzEz68atY46iVwq7p2Jm1p2DSo7W6q45QWV29Ze/NjOzPG4dc7SCRucKsNmJevdUzMxyOajkaC0Z7rxXZWomDX+5p2JmlsutY47C4a+6h7/MzLpx65ijePjLE/VmZt04qOQoXv3lJcVmZt24dcwxO/xVNKfinoqZWS4HlRyFw19eUmxm1pVbxxzdhr/KJTFW9tdmZpbHrWOO46u/TuypTM34/fRmZt24hcxRLbhPJXuVsL8yM7MibiFzHJ9TmfvsL7+gy8ysmINKjtbqrs731NfqTSb8KmEzs0JuIXMUrf7K5lTcUzEzK+KgkqNSEiXlr/6quqdiZlbILWQOSblvf6zNNJlwT8XMrFBfQUXSKknbJT2efp9ekG9LyvO4pC1t6a+X9B1JOyV9sO3987nlSvp3kh5KPw9LakhalY79IJX1kKQd/VwXZPeq1GY6hr/qDfdUzMy66LeFvAG4NyLWA/em/ROkRv8m4A3AJcBNbcHno8DvA+vTz6Zu5UbEH0fExRFxMXAj8P+1ve8e4FfS8Y19XhfVSim3p+IlxWZmxfptIa8Cbk/btwNX5+S5AtgeEQci4jlgO7BJ0jnAioi4LyIC+GTb+fMp9xrg033Wv1Du8JeXFJuZddVvUDkrIvak7aeBs3LyrAWeatvfldLWpu3O9J7lSlpC1qv5i7bkAL4o6UFJ13ertKTrJe2QtGPfvn25ebKeytw3P3r4y8ysWKVXBklfAs7OOfTu9p2ICEkxqIr1KPfXgf/dMfT1SxGxW9KZwHZJ34uIrxaUeStwK8DGjRtz65zNqXQ+pbjpnoqZWRc9g0pEvKXomKS9ks6JiD1pOOuZnGy7gUvb9tcBX0np6zrSd6ftXuVupmPoKyJ2p9/PSPo82fxNblCZj+LhL/dUzMyK9NtCbgVaq7m2AHfl5NkGXC7p9DRBfzmwLQ1vHZT0xrTq6+1t5xeWK2kl8MsdaUslLW9tp894uJ8LGy/nD39N+F0qZmaF+g0q7wN+VdLjwFvSPpI2SvoYQBqiei/wQPq5uW3Y6g+BjwE7ge8D93QrN/kN4IsRcaQt7SzgbyV9C7gf+OuI+EI/F1YdO3H1V7MZTPuBkmZmXfUc/uomIvYDl+Wk7wCua9u/DbitIN+r5ltuOvYJ4BMdaU8Ar1lQ5XuoVk6cU5lupBd0eaLezKyQW8gC2ZzK8eGv42999PCXmVkRB5UCnTc/TqUA4+EvM7NibiELdM6pTKVHtkx6ot7MrJCDSoFqpXzCs7+OtYLKuIOKmVkRB5UCncNfR6cdVMzMenFQKVCtlKk3g3pa9TU17eEvM7NeHFQKtJYOt5YSH/OciplZTw4qBVqrvFrvqfeciplZbw4qBVr3o7TmVY56+MvMrCcHlQKtnkrrpscp91TMzHpyUCnQmlNp3VV/zJYYgbkAAAgVSURBVD0VM7OeHFQKdA5/eaLezKw3B5UCs8NfbT2VaqVEqaRhVsvM7EXNQaVA55zKsZmG51PMzHpwUClQHesY/ppueOjLzKwHB5UCncNfR91TMTPryUGlQCuoTM0cf0yLeypmZt05qBRo9Upaq76OzTiomJn10ldQkbRK0nZJj6ffpxfk25LyPC5pS1v66yV9R9JOSR+UpJT+W5IekdSUtLGjrBtT/sckXdGWviml7ZR0Qz/XBbBkPHvT8pFaHcjuqPfwl5lZd/32VG4A7o2I9cC9af8EklYBNwFvAC4BbmoLPh8Ffh9Yn342pfSHgX8GfLWjrA3AZuDClPcjksqSysCHgSuBDcA1Ke+iLU0B5HAKKkdqdZZVK/0UaWb2U6/foHIVcHvavh24OifPFcD2iDgQEc8B24FNks4BVkTEfRERwCdb50fEdyPisYLPuyMiahHxJLCTLFBdAuyMiCciYhq4I+VdtEq5xMRYabancthBxcysp36DylkRsSdtPw2clZNnLfBU2/6ulLY2bXemd9OtrLz0XJKul7RD0o59+/YVftiyaoXDtWxO5fBUnWUTDipmZt30bCUlfQk4O+fQu9t3IiIkxaAq9kKKiFuBWwE2btxYWOel1QpHanWazeDwdJ3lE2MnrY5mZqeinkElIt5SdEzSXknnRMSeNJz1TE623cClbfvrgK+k9HUd6bt7VGc3cG7BOUXpi7Z0PAsqR6brRMByD3+ZmXXV7/DXVqC1mmsLcFdOnm3A5ZJOTxP0lwPb0rDZQUlvTKu+3l5wfufnbZZUlXQB2eT+/cADwHpJF0gaJ5vM39rntaXhr/rsZL2Hv8zMuus3qLwP+FVJjwNvSftI2ijpYwARcQB4L1nD/wBwc0oD+EPgY2QT7t8H7knn/4akXcCbgL+WtC2V9QhwJ/Ao8AXgnRHRiIg68C6yAPZd4M6Uty9Lq2WOTNc5PJWCinsqZmZd9dVKRsR+4LKc9B3AdW37twG3FeR7VU7654HPF3zmLcAtOel3A3cvoPo9La1W+MH+oxxyT8XMbF58R30Xs8NfqaeywkHFzKwrB5UullYrHK3VOTQ7/OXVX2Zm3TiodLG0WuHIdIODUzOAh7/MzHpxUOmiNdy15/kpwBP1Zma9OKh0sWrpOADf33eYckm+T8XMrAcHlS5OT0Fl597DrFo67vfTm5n14KDSxaolWVB5/JlDrE4BxszMijmodNEa/moGrF7moGJm1ouDShdnr5ygnIa81p22ZMi1MTN78XNQ6WKsXGLlZHZvynlrHFTMzHpxUOmhNQT26rWnDbkmZmYvfl4j28OH/8XruOuh3fzCz64edlXMzF70HFR6ePnZy/n3m14x7GqYmZ0SPPxlZmYD46BiZmYD46BiZmYD46BiZmYD46BiZmYD46BiZmYD46BiZmYD46BiZmYDo4gYdh2GStIh4LFh16MPa4Bnh12JPpzq9YdT/xpc/+E71a7hvIg4I++A76iHxyJi47ArsViSdrj+w3WqX4PrP3w/DdfQ4uEvMzMbGAcVMzMbGAcVuHXYFeiT6z98p/o1uP7D99NwDYAn6s3MbIDcUzEzs4FxUDEzs4EZ2aAiaZOkxyTtlHTDsOuzUJLOlfQ3kh6V9Iikfz3sOi2GpLKkv5f0V8Ouy0JJOk3SZyV9T9J3Jb1p2HVaKEn/Nv37eVjSpyVNDLtO3Ui6TdIzkh5uS1slabukx9Pv04dZx14KruGP07+jb0v6vKRT9v3lIxlUJJWBDwNXAhuAayRtGG6tFqwO/N8RsQF4I/DOU/AaAP418N1hV2KR/hT4QkS8AngNp9h1SFoL/BGwMSJeBZSBzcOtVU+fADZ1pN0A3BsR64F70/6L2SeYew3bgVdFxKuBfwBuPNmVGpSRDCrAJcDOiHgiIqaBO4CrhlynBYmIPRHxzbR9iKxBWzvcWi2MpHXAPwE+Nuy6LJSklcA/Bj4OEBHTEfGT4dZqUSrApKQKsAT48ZDr01VEfBU40JF8FXB72r4duPqkVmqB8q4hIr4YEfW0ex+w7qRXbEBGNaisBZ5q29/FKdYgt5N0PvBa4BvDrcmC/Rfg3wPNYVdkES4A9gF/lobvPiZp6bArtRARsRv4z8CPgD3A8xHxxeHWalHOiog9aftp4KxhVmYA/hVwz7ArsVijGlR+akhaBvwF8G8i4uCw6zNfkn4NeCYiHhx2XRapArwO+GhEvBY4wot/2OUEae7hKrIA+RJgqaT/Y7i16k9k90icsvdJSHo32dD2p4Zdl8Ua1aCyGzi3bX9dSjulSBojCyifiojPDbs+C/SLwD+V9AOy4cc3S/rvw63SguwCdkVEq3f4WbIgcyp5C/BkROyLiBngc8AvDLlOi7FX0jkA6fczQ67Pokj6PeDXgN+JU/gGwlENKg8A6yVdIGmcbHJy65DrtCCSRDae/92I+JNh12ehIuLGiFgXEeeTff9fjohT5q/kiHgaeErSy1PSZcCjQ6zSYvwIeKOkJenf02WcYosNkq3AlrS9BbhriHVZFEmbyIaC/2lEHB12ffoxkkElTYi9C9hG9h/RnRHxyHBrtWC/CPwu2V/4D6Wftw67UiPm/wQ+JenbwMXAfxpyfRYk9bI+C3wT+A5Ze/CiflyIpE8DXwdeLmmXpGuB9wG/Kulxst7X+4ZZx14KruFDwHJge/pv+b8NtZJ98GNazMxsYEayp2JmZi8MBxUzMxsYBxUzMxsYBxUzMxsYBxUzMxsYBxUzMxsYBxUzMxuY/x+EMPHyvuKLkAAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "print(\n", " 'Solving the same model \"the long way\" took ' + str(t_end - t_start) + \" seconds.\"\n", From 9ac731d54d55b0946520dcc635c784e8b78d8e0d Mon Sep 17 00:00:00 2001 From: Mridul Seth Date: Sat, 8 Aug 2020 00:26:24 +0530 Subject: [PATCH 4/5] add deprecate warning to unpackcFunc --- HARK/ConsumptionSaving/ConsIndShockModel.py | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) diff --git a/HARK/ConsumptionSaving/ConsIndShockModel.py b/HARK/ConsumptionSaving/ConsIndShockModel.py index 71d5cb66e..c20b2855d 100644 --- a/HARK/ConsumptionSaving/ConsIndShockModel.py +++ b/HARK/ConsumptionSaving/ConsIndShockModel.py @@ -1530,6 +1530,24 @@ def updateSolutionTerminal(self): self.solution_terminal.vPfunc = MargValueFunc(self.cFunc_terminal_,self.CRRA) self.solution_terminal.vPPfunc = MargMargValueFunc(self.cFunc_terminal_,self.CRRA) + def unpackcFunc(self): + ''' DEPRECATED: Use solution.unpack('cFunc') instead. + "Unpacks" the consumption functions into their own field for easier access. + After the model has been solved, the consumption functions reside in the + attribute cFunc of each element of ConsumerType.solution. This method + creates a (time varying) attribute cFunc that contains a list of consumption + functions. + Parameters + ---------- + none + Returns + ------- + none + ''' + _log.critical("unpackcFunc is deprecated and it will soon be removed, " \ + "please use unpack('cFunc') instead.") + self.unpack('cFunc') + def initializeSim(self): self.PlvlAggNow = 1.0 From ad4d5646db10d3de7bb32e6203601f8bd050094c Mon Sep 17 00:00:00 2001 From: Mridul Seth Date: Sat, 8 Aug 2020 00:30:23 +0530 Subject: [PATCH 5/5] Update CHANGELOG.md --- Documentation/CHANGELOG.md | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/Documentation/CHANGELOG.md b/Documentation/CHANGELOG.md index 56c2d32e1..b5af0918f 100644 --- a/Documentation/CHANGELOG.md +++ b/Documentation/CHANGELOG.md @@ -10,7 +10,7 @@ For more information on HARK, see [our Github organization](https://github.com/e ### 0.10.7 -Release Date: XX-XX-2020 +Release Date: 08-08-2020 #### Major Changes @@ -21,6 +21,7 @@ Release Date: XX-XX-2020 #### Minor Changes +- unpackcFunc is deprecated, use unpack(parameter) to unpack a parameter after solving the model [#784](https://github.com/econ-ark/HARK/pull/784) - Remove deprecated Solution Class, use HARKObject across the codebase [#772](https://github.com/econ-ark/HARK/pull/772) - Add option to find crossing points in the envelope step of DCEGM algorithm [#758](https://github.com/econ-ark/HARK/pull/758) - Fix reset bug in the behaviour of AgentType.resetRNG(), implemented individual resetRNG methods for AgentTypes [#757](https://github.com/econ-ark/HARK/pull/757)